%---------------- SGGS v1.0 (IJCAR 2020 submission) ----------------% ------ Parsing...successful ------ Proving... use I- not ground preserving Gamma_0: (extend-no-conflict) 0: [c5_2(X0,a254)], ssSkP0(X0) Gamma_1: (extend-no-conflict) 0: [c5_2(X0,a254)], ssSkP0(X0) 1: [c1_2(a256,a257)], c4_0, c2_0 Gamma_2: (extend-no-conflict) 0: [c5_2(X0,a254)], ssSkP0(X0) 1: [c1_2(a256,a257)], c4_0, c2_0 2: [ssSkP0(X0)], ndr1_1(X0) Gamma_3: (extend-no-conflict) 0: [c5_2(X0,a254)], ssSkP0(X0) 1: [c1_2(a256,a257)], c4_0, c2_0 2: [ssSkP0(X0)], ndr1_1(X0) 3: [ssSkP1(X0)], ndr1_1(X0) Gamma_4: (extend-no-conflict) 0: [c5_2(X0,a254)], ssSkP0(X0) 1: [c1_2(a256,a257)], c4_0, c2_0 2: [ssSkP0(X0)], ndr1_1(X0) 3: [ssSkP1(X0)], ndr1_1(X0) 4: [ndr1_1(a256)], c4_0, c2_0 Gamma_5: (extend-no-conflict) 0: [c5_2(X0,a254)], ssSkP0(X0) 1: [c1_2(a256,a257)], c4_0, c2_0 2: [ssSkP0(X0)], ndr1_1(X0) 3: [ssSkP1(X0)], ndr1_1(X0) 4: [ndr1_1(a256)], c4_0, c2_0 5: [c4_2(a256,X0)], c1_2(a256,X0), c3_2(a256,X0), ~(ndr1_1(a256)), c4_0, c2_0 Gamma_6: (extend-no-conflict) 0: [c5_2(X0,a254)], ssSkP0(X0) 1: [c1_2(a256,a257)], c4_0, c2_0 2: [ssSkP0(X0)], ndr1_1(X0) 3: [ssSkP1(X0)], ndr1_1(X0) 4: [ndr1_1(a256)], c4_0, c2_0 5: [c4_2(a256,X0)], c1_2(a256,X0), c3_2(a256,X0), ~(ndr1_1(a256)), c4_0, c2_0 6: ~(c4_2(a256,a257)), [c4_0], c2_0 Gamma_7: (extend-no-conflict) 0: [c5_2(X0,a254)], ssSkP0(X0) 1: [c1_2(a256,a257)], c4_0, c2_0 2: [ssSkP0(X0)], ndr1_1(X0) 3: [ssSkP1(X0)], ndr1_1(X0) 4: [ndr1_1(a256)], c4_0, c2_0 5: [c4_2(a256,X0)], c1_2(a256,X0), c3_2(a256,X0), ~(ndr1_1(a256)), c4_0, c2_0 6: ~(c4_2(a256,a257)), [c4_0], c2_0 7: [c4_1(a264)], c3_0, c5_0 Gamma_8: (extend-no-conflict) 0: [c5_2(X0,a254)], ssSkP0(X0) 1: [c1_2(a256,a257)], c4_0, c2_0 2: [ssSkP0(X0)], ndr1_1(X0) 3: [ssSkP1(X0)], ndr1_1(X0) 4: [ndr1_1(a256)], c4_0, c2_0 5: [c4_2(a256,X0)], c1_2(a256,X0), c3_2(a256,X0), ~(ndr1_1(a256)), c4_0, c2_0 6: ~(c4_2(a256,a257)), [c4_0], c2_0 7: [c4_1(a264)], c3_0, c5_0 8: [c5_1(a251)], ssSkC0 Gamma_9: (extend-no-conflict) 0: [c5_2(X0,a254)], ssSkP0(X0) 1: [c1_2(a256,a257)], c4_0, c2_0 2: [ssSkP0(X0)], ndr1_1(X0) 3: [ssSkP1(X0)], ndr1_1(X0) 4: [ndr1_1(a256)], c4_0, c2_0 5: [c4_2(a256,X0)], c1_2(a256,X0), c3_2(a256,X0), ~(ndr1_1(a256)), c4_0, c2_0 6: ~(c4_2(a256,a257)), [c4_0], c2_0 7: [c4_1(a264)], c3_0, c5_0 8: [c5_1(a251)], ssSkC0 9: [c3_0], c5_0, ndr1_0 Gamma_10: (extend-no-conflict) 0: [c5_2(X0,a254)], ssSkP0(X0) 1: [c1_2(a256,a257)], c4_0, c2_0 2: [ssSkP0(X0)], ndr1_1(X0) 3: [ssSkP1(X0)], ndr1_1(X0) 4: [ndr1_1(a256)], c4_0, c2_0 5: [c4_2(a256,X0)], c1_2(a256,X0), c3_2(a256,X0), ~(ndr1_1(a256)), c4_0, c2_0 6: ~(c4_2(a256,a257)), [c4_0], c2_0 7: [c4_1(a264)], c3_0, c5_0 8: [c5_1(a251)], ssSkC0 9: [c3_0], c5_0, ndr1_0 10: [c5_2(a265,a266)], ~(c4_0), ~(c3_0) Gamma_11: (extend-no-conflict) 0: [c5_2(X0,a254)], ssSkP0(X0) 1: [c1_2(a256,a257)], c4_0, c2_0 2: [ssSkP0(X0)], ndr1_1(X0) 3: [ssSkP1(X0)], ndr1_1(X0) 4: [ndr1_1(a256)], c4_0, c2_0 5: [c4_2(a256,X0)], c1_2(a256,X0), c3_2(a256,X0), ~(ndr1_1(a256)), c4_0, c2_0 6: ~(c4_2(a256,a257)), [c4_0], c2_0 7: [c4_1(a264)], c3_0, c5_0 8: [c5_1(a251)], ssSkC0 9: [c3_0], c5_0, ndr1_0 10: [c5_2(a265,a266)], ~(c4_0), ~(c3_0) 11: [c1_2(a265,a266)], ~(c4_0), ~(c3_0) Gamma_12: (extend-no-conflict) 0: [c5_2(X0,a254)], ssSkP0(X0) 1: [c1_2(a256,a257)], c4_0, c2_0 2: [ssSkP0(X0)], ndr1_1(X0) 3: [ssSkP1(X0)], ndr1_1(X0) 4: [ndr1_1(a256)], c4_0, c2_0 5: [c4_2(a256,X0)], c1_2(a256,X0), c3_2(a256,X0), ~(ndr1_1(a256)), c4_0, c2_0 6: ~(c4_2(a256,a257)), [c4_0], c2_0 7: [c4_1(a264)], c3_0, c5_0 8: [c5_1(a251)], ssSkC0 9: [c3_0], c5_0, ndr1_0 10: [c5_2(a265,a266)], ~(c4_0), ~(c3_0) 11: [c1_2(a265,a266)], ~(c4_0), ~(c3_0) 12: [ndr1_1(a265)], ~(c4_0), ~(c3_0) Gamma_13: (extend-no-conflict) 0: [c5_2(X0,a254)], ssSkP0(X0) 1: [c1_2(a256,a257)], c4_0, c2_0 2: [ssSkP0(X0)], ndr1_1(X0) 3: [ssSkP1(X0)], ndr1_1(X0) 4: [ndr1_1(a256)], c4_0, c2_0 5: [c4_2(a256,X0)], c1_2(a256,X0), c3_2(a256,X0), ~(ndr1_1(a256)), c4_0, c2_0 6: ~(c4_2(a256,a257)), [c4_0], c2_0 7: [c4_1(a264)], c3_0, c5_0 8: [c5_1(a251)], ssSkC0 9: [c3_0], c5_0, ndr1_0 10: [c5_2(a265,a266)], ~(c4_0), ~(c3_0) 11: [c1_2(a265,a266)], ~(c4_0), ~(c3_0) 12: [ndr1_1(a265)], ~(c4_0), ~(c3_0) 13: ~(c4_0), ~(c3_0), [ndr1_0] Gamma_14: (extend-no-conflict) 0: [c5_2(X0,a254)], ssSkP0(X0) 1: [c1_2(a256,a257)], c4_0, c2_0 2: [ssSkP0(X0)], ndr1_1(X0) 3: [ssSkP1(X0)], ndr1_1(X0) 4: [ndr1_1(a256)], c4_0, c2_0 5: [c4_2(a256,X0)], c1_2(a256,X0), c3_2(a256,X0), ~(ndr1_1(a256)), c4_0, c2_0 6: ~(c4_2(a256,a257)), [c4_0], c2_0 7: [c4_1(a264)], c3_0, c5_0 8: [c5_1(a251)], ssSkC0 9: [c3_0], c5_0, ndr1_0 10: [c5_2(a265,a266)], ~(c4_0), ~(c3_0) 11: [c1_2(a265,a266)], ~(c4_0), ~(c3_0) 12: [ndr1_1(a265)], ~(c4_0), ~(c3_0) 13: ~(c4_0), ~(c3_0), [ndr1_0] 14: [c3_2(X0,a261)], c1_1(X0), c2_0, ~(ndr1_0) Gamma_15: (extend-no-conflict) 0: [c5_2(X0,a254)], ssSkP0(X0) 1: [c1_2(a256,a257)], c4_0, c2_0 2: [ssSkP0(X0)], ndr1_1(X0) 3: [ssSkP1(X0)], ndr1_1(X0) 4: [ndr1_1(a256)], c4_0, c2_0 5: [c4_2(a256,X0)], c1_2(a256,X0), c3_2(a256,X0), ~(ndr1_1(a256)), c4_0, c2_0 6: ~(c4_2(a256,a257)), [c4_0], c2_0 7: [c4_1(a264)], c3_0, c5_0 8: [c5_1(a251)], ssSkC0 9: [c3_0], c5_0, ndr1_0 10: [c5_2(a265,a266)], ~(c4_0), ~(c3_0) 11: [c1_2(a265,a266)], ~(c4_0), ~(c3_0) 12: [ndr1_1(a265)], ~(c4_0), ~(c3_0) 13: ~(c4_0), ~(c3_0), [ndr1_0] 14: [c3_2(X0,a261)], c1_1(X0), c2_0, ~(ndr1_0) 15: [c1_2(X0,a261)], c1_1(X0), c2_0, ~(ndr1_0) Gamma_16: (extend-no-conflict) 0: [c5_2(X0,a254)], ssSkP0(X0) 1: [c1_2(a256,a257)], c4_0, c2_0 2: [ssSkP0(X0)], ndr1_1(X0) 3: [ssSkP1(X0)], ndr1_1(X0) 4: [ndr1_1(a256)], c4_0, c2_0 5: [c4_2(a256,X0)], c1_2(a256,X0), c3_2(a256,X0), ~(ndr1_1(a256)), c4_0, c2_0 6: ~(c4_2(a256,a257)), [c4_0], c2_0 7: [c4_1(a264)], c3_0, c5_0 8: [c5_1(a251)], ssSkC0 9: [c3_0], c5_0, ndr1_0 10: [c5_2(a265,a266)], ~(c4_0), ~(c3_0) 11: [c1_2(a265,a266)], ~(c4_0), ~(c3_0) 12: [ndr1_1(a265)], ~(c4_0), ~(c3_0) 13: ~(c4_0), ~(c3_0), [ndr1_0] 14: [c3_2(X0,a261)], c1_1(X0), c2_0, ~(ndr1_0) 15: [c1_2(X0,a261)], c1_1(X0), c2_0, ~(ndr1_0) 16: [c4_2(X0,a261)], c1_1(X0), c2_0, ~(ndr1_0) Gamma_17: (right-split) 0: [c5_2(X0,a254)], ssSkP0(X0) 1: [c1_2(a256,a257)], c4_0, c2_0 2: [ssSkP0(X0)], ndr1_1(X0) 3: [ssSkP1(X0)], ndr1_1(X0) 4: [ndr1_1(a256)], c4_0, c2_0 5: [c4_2(a256,X0)], c1_2(a256,X0), c3_2(a256,X0), ~(ndr1_1(a256)), c4_0, c2_0 6: ~(c4_2(a256,a257)), [c4_0], c2_0 7: [c4_1(a264)], c3_0, c5_0 8: [c5_1(a251)], ssSkC0 9: [c3_0], c5_0, ndr1_0 10: [c5_2(a265,a266)], ~(c4_0), ~(c3_0) 11: [c1_2(a265,a266)], ~(c4_0), ~(c3_0) 12: [ndr1_1(a265)], ~(c4_0), ~(c3_0) 13: ~(c4_0), ~(c3_0), [ndr1_0] 14: [c3_2(X0,a261)], c1_1(X0), c2_0, ~(ndr1_0) 15: [c1_2(X0,a261)], c1_1(X0), c2_0, ~(ndr1_0) 16: top(X0) != a256 | [c4_2(X0,a261)], c1_1(X0), c2_0, ~(ndr1_0) Gamma_18: (extend-no-conflict) 0: [c5_2(X0,a254)], ssSkP0(X0) 1: [c1_2(a256,a257)], c4_0, c2_0 2: [ssSkP0(X0)], ndr1_1(X0) 3: [ssSkP1(X0)], ndr1_1(X0) 4: [ndr1_1(a256)], c4_0, c2_0 5: [c4_2(a256,X0)], c1_2(a256,X0), c3_2(a256,X0), ~(ndr1_1(a256)), c4_0, c2_0 6: ~(c4_2(a256,a257)), [c4_0], c2_0 7: [c4_1(a264)], c3_0, c5_0 8: [c5_1(a251)], ssSkC0 9: [c3_0], c5_0, ndr1_0 10: [c5_2(a265,a266)], ~(c4_0), ~(c3_0) 11: [c1_2(a265,a266)], ~(c4_0), ~(c3_0) 12: [ndr1_1(a265)], ~(c4_0), ~(c3_0) 13: ~(c4_0), ~(c3_0), [ndr1_0] 14: [c3_2(X0,a261)], c1_1(X0), c2_0, ~(ndr1_0) 15: [c1_2(X0,a261)], c1_1(X0), c2_0, ~(ndr1_0) 16: top(X0) != a256 | [c4_2(X0,a261)], c1_1(X0), c2_0, ~(ndr1_0) 17: [c3_1(X0)], c4_1(X0), ~(c3_0), c1_0, ~(ndr1_0) Gamma_19: (extend-no-conflict) 0: [c5_2(X0,a254)], ssSkP0(X0) 1: [c1_2(a256,a257)], c4_0, c2_0 2: [ssSkP0(X0)], ndr1_1(X0) 3: [ssSkP1(X0)], ndr1_1(X0) 4: [ndr1_1(a256)], c4_0, c2_0 5: [c4_2(a256,X0)], c1_2(a256,X0), c3_2(a256,X0), ~(ndr1_1(a256)), c4_0, c2_0 6: ~(c4_2(a256,a257)), [c4_0], c2_0 7: [c4_1(a264)], c3_0, c5_0 8: [c5_1(a251)], ssSkC0 9: [c3_0], c5_0, ndr1_0 10: [c5_2(a265,a266)], ~(c4_0), ~(c3_0) 11: [c1_2(a265,a266)], ~(c4_0), ~(c3_0) 12: [ndr1_1(a265)], ~(c4_0), ~(c3_0) 13: ~(c4_0), ~(c3_0), [ndr1_0] 14: [c3_2(X0,a261)], c1_1(X0), c2_0, ~(ndr1_0) 15: [c1_2(X0,a261)], c1_1(X0), c2_0, ~(ndr1_0) 16: top(X0) != a256 | [c4_2(X0,a261)], c1_1(X0), c2_0, ~(ndr1_0) 17: [c3_1(X0)], c4_1(X0), ~(c3_0), c1_0, ~(ndr1_0) 18: [c1_1(X0)], ndr1_1(X0), c2_0, ~(ndr1_0) Gamma_20: (extend-no-conflict) 0: [c5_2(X0,a254)], ssSkP0(X0) 1: [c1_2(a256,a257)], c4_0, c2_0 2: [ssSkP0(X0)], ndr1_1(X0) 3: [ssSkP1(X0)], ndr1_1(X0) 4: [ndr1_1(a256)], c4_0, c2_0 5: [c4_2(a256,X0)], c1_2(a256,X0), c3_2(a256,X0), ~(ndr1_1(a256)), c4_0, c2_0 6: ~(c4_2(a256,a257)), [c4_0], c2_0 7: [c4_1(a264)], c3_0, c5_0 8: [c5_1(a251)], ssSkC0 9: [c3_0], c5_0, ndr1_0 10: [c5_2(a265,a266)], ~(c4_0), ~(c3_0) 11: [c1_2(a265,a266)], ~(c4_0), ~(c3_0) 12: [ndr1_1(a265)], ~(c4_0), ~(c3_0) 13: ~(c4_0), ~(c3_0), [ndr1_0] 14: [c3_2(X0,a261)], c1_1(X0), c2_0, ~(ndr1_0) 15: [c1_2(X0,a261)], c1_1(X0), c2_0, ~(ndr1_0) 16: top(X0) != a256 | [c4_2(X0,a261)], c1_1(X0), c2_0, ~(ndr1_0) 17: [c3_1(X0)], c4_1(X0), ~(c3_0), c1_0, ~(ndr1_0) 18: [c1_1(X0)], ndr1_1(X0), c2_0, ~(ndr1_0) 19: [c5_2(X0,a269)], ~(c1_1(X0)), c4_1(X0), ssSkC1, ~(ndr1_0) Gamma_21: (extend-no-conflict) 0: [c5_2(X0,a254)], ssSkP0(X0) 1: [c1_2(a256,a257)], c4_0, c2_0 2: [ssSkP0(X0)], ndr1_1(X0) 3: [ssSkP1(X0)], ndr1_1(X0) 4: [ndr1_1(a256)], c4_0, c2_0 5: [c4_2(a256,X0)], c1_2(a256,X0), c3_2(a256,X0), ~(ndr1_1(a256)), c4_0, c2_0 6: ~(c4_2(a256,a257)), [c4_0], c2_0 7: [c4_1(a264)], c3_0, c5_0 8: [c5_1(a251)], ssSkC0 9: [c3_0], c5_0, ndr1_0 10: [c5_2(a265,a266)], ~(c4_0), ~(c3_0) 11: [c1_2(a265,a266)], ~(c4_0), ~(c3_0) 12: [ndr1_1(a265)], ~(c4_0), ~(c3_0) 13: ~(c4_0), ~(c3_0), [ndr1_0] 14: [c3_2(X0,a261)], c1_1(X0), c2_0, ~(ndr1_0) 15: [c1_2(X0,a261)], c1_1(X0), c2_0, ~(ndr1_0) 16: top(X0) != a256 | [c4_2(X0,a261)], c1_1(X0), c2_0, ~(ndr1_0) 17: [c3_1(X0)], c4_1(X0), ~(c3_0), c1_0, ~(ndr1_0) 18: [c1_1(X0)], ndr1_1(X0), c2_0, ~(ndr1_0) 19: [c5_2(X0,a269)], ~(c1_1(X0)), c4_1(X0), ssSkC1, ~(ndr1_0) 20: ~(c1_1(X0)), [c4_1(X0)], ndr1_1(X0), ssSkC1, ~(ndr1_0) Gamma_22: (right-split) 0: [c5_2(X0,a254)], ssSkP0(X0) 1: [c1_2(a256,a257)], c4_0, c2_0 2: [ssSkP0(X0)], ndr1_1(X0) 3: [ssSkP1(X0)], ndr1_1(X0) 4: [ndr1_1(a256)], c4_0, c2_0 5: [c4_2(a256,X0)], c1_2(a256,X0), c3_2(a256,X0), ~(ndr1_1(a256)), c4_0, c2_0 6: ~(c4_2(a256,a257)), [c4_0], c2_0 7: [c4_1(a264)], c3_0, c5_0 8: [c5_1(a251)], ssSkC0 9: [c3_0], c5_0, ndr1_0 10: [c5_2(a265,a266)], ~(c4_0), ~(c3_0) 11: [c1_2(a265,a266)], ~(c4_0), ~(c3_0) 12: [ndr1_1(a265)], ~(c4_0), ~(c3_0) 13: ~(c4_0), ~(c3_0), [ndr1_0] 14: [c3_2(X0,a261)], c1_1(X0), c2_0, ~(ndr1_0) 15: [c1_2(X0,a261)], c1_1(X0), c2_0, ~(ndr1_0) 16: top(X0) != a256 | [c4_2(X0,a261)], c1_1(X0), c2_0, ~(ndr1_0) 17: [c3_1(X0)], c4_1(X0), ~(c3_0), c1_0, ~(ndr1_0) 18: [c1_1(X0)], ndr1_1(X0), c2_0, ~(ndr1_0) 19: [c5_2(X0,a269)], ~(c1_1(X0)), c4_1(X0), ssSkC1, ~(ndr1_0) 20: top(X0) != a264 | ~(c1_1(X0)), [c4_1(X0)], ndr1_1(X0), ssSkC1, ~( ndr1_0) 0: [c5_2(X0,a254)], ssSkP0(X0) 1: [c1_2(a256,a257)], c4_0, c2_0 2: [ssSkP0(X0)], ndr1_1(X0) 3: [ssSkP1(X0)], ndr1_1(X0) 4: [ndr1_1(a256)], c4_0, c2_0 5: [c4_2(a256,X0)], c1_2(a256,X0), c3_2(a256,X0), ~(ndr1_1(a256)), c4_0, c2_0 6: ~(c4_2(a256,a257)), [c4_0], c2_0 7: [c4_1(a264)], c3_0, c5_0 8: [c5_1(a251)], ssSkC0 9: [c3_0], c5_0, ndr1_0 10: [c5_2(a265,a266)], ~(c4_0), ~(c3_0) 11: [c1_2(a265,a266)], ~(c4_0), ~(c3_0) 12: [ndr1_1(a265)], ~(c4_0), ~(c3_0) 13: ~(c4_0), ~(c3_0), [ndr1_0] 14: [c3_2(X0,a261)], c1_1(X0), c2_0, ~(ndr1_0) 15: [c1_2(X0,a261)], c1_1(X0), c2_0, ~(ndr1_0) 16: top(X0) != a256 | [c4_2(X0,a261)], c1_1(X0), c2_0, ~(ndr1_0) 17: [c3_1(X0)], c4_1(X0), ~(c3_0), c1_0, ~(ndr1_0) 18: [c1_1(X0)], ndr1_1(X0), c2_0, ~(ndr1_0) 19: [c5_2(X0,a269)], ~(c1_1(X0)), c4_1(X0), ssSkC1, ~(ndr1_0) 20: top(X0) != a264 | ~(c1_1(X0)), [c4_1(X0)], ndr1_1(X0), ssSkC1, ~( ndr1_0) SZS status Satisfiable