%------------------------------------------------------------------------------ % File : LisaST---0.9 % Problem : COM133+1 : TPTP v9.3.1. Released v6.4.0. % Transfm : none % Format : tptp:raw % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p % Computer : n004.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8046.5625MB % OS : Linux 6.8.0-71-generic % CPULimit : 300s % WCLimit : 300s % DateTime : Sun Sep 27 06:58:52 AM UTC 2026 % Result : Theorem 18.66s 3.21s % Output : CNFRefutation 18.66s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.03 % Problem : COM133+1 : TPTP v9.3.1. Released v6.4.0. % 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p % 0.11/0.37 % Computer : n004.cluster.edu % 0.11/0.37 % Model : x86_64 x86_64 % 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.11/0.37 % Memory : 8046.5625MB % 0.11/0.37 % OS : Linux 6.8.0-71-generic % 0.11/0.37 % CPULimit : 300 % 0.11/0.37 % WCLimit : 300 % 0.11/0.37 % DateTime : Sat Sep 26 23:34:06 UTC 2026 % 0.11/0.37 % CPUTime : % 0.11/0.37 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p % 18.66/3.21 % SZS status Theorem for theBenchmark.p % 18.66/3.21 % SZS output start CNFRefutation for theBenchmark.p % 18.66/3.21 fof(T-subst-abs-1, axiom, ! [X0] : ! [X1] : ! [X2] : ! [X3] : ! [X4] : ! [X5] : ! [X6] : ! [X7] : (((X2 = X4 & (vtcheck(X1,X3,X0) & vtcheck(vbind(X2,X0,X1),vabs(X4,X5,X6),X7))) => vtcheck(X1,vsubst(X2,X3,vabs(X4,X5,X6)),X7)))). % 18.66/3.21 fof(T-subst-abs-2, axiom, ! [X0] : ! [X1] : ! [X2] : ! [X3] : ! [X4] : ! [X5] : ! [X6] : (((X2 != X4 & (~visFreeVar(X4,X3) & (vtcheck(X1,X3,X0) & vtcheck(vbind(X2,X0,X1),vabs(X4,X5,veabs),X6)))) => vtcheck(X1,vsubst(X2,X3,vabs(X4,X5,veabs)),X6)))). % 18.66/3.21 fof(T-subst-abs-3, axiom, ! [X0] : ! [X1] : ! [X2] : ! [X3] : ! [X4] : ! [X5] : ! [X6] : (((X2 != X4 & (visFreeVar(X4,X3) & (vtcheck(X1,X3,X0) & vtcheck(vbind(X2,X0,X1),vabs(X4,X5,veabs),X6)))) => vtcheck(X1,vsubst(X2,X3,vabs(X4,X5,veabs)),X6)))). % 18.66/3.21 fof(T-subst-abs, conjecture, ! [X0] : ! [X1] : ! [X2] : ! [X3] : ! [X4] : ! [X5] : ! [X6] : (((vtcheck(X1,X3,X0) & vtcheck(vbind(X2,X0,X1),vabs(X4,X5,veabs),X6)) => vtcheck(X1,vsubst(X2,X3,vabs(X4,X5,veabs)),X6)))). % 18.66/3.21 fof(negated_conjecture, negated_conjecture, ~! [X0] : ! [X1] : ! [X2] : ! [X3] : ! [X4] : ! [X5] : ! [X6] : (((vtcheck(X1,X3,X0) & vtcheck(vbind(X2,X0,X1),vabs(X4,X5,veabs),X6)) => vtcheck(X1,vsubst(X2,X3,vabs(X4,X5,veabs)),X6))), inference(negate_conjecture, [status(cth)], [T-subst-abs])). % 18.66/3.21 cnf(c4, plain, X0 != X1 | ~vtcheck(X2,X3,X4) | ~vtcheck(vbind(X0,X4,X2),vabs(X1,X5,X6),X7) | vtcheck(X2,vsubst(X0,X3,vabs(X1,X5,X6)),X7), inference(clausification, [status(esa)], [T-subst-abs-1])). % 18.66/3.21 cnf(c5, plain, ~vtcheck(X0,X1,X2) | visFreeVar(X3,X1) | X4 = X3 | vtcheck(X0,vsubst(X4,X1,vabs(X3,X5,veabs)),X6) | ~vtcheck(vbind(X4,X2,X0),vabs(X3,X5,veabs),X6), inference(clausification, [status(esa)], [T-subst-abs-2])). % 18.66/3.21 cnf(c6, plain, ~visFreeVar(X0,X1) | ~vtcheck(vbind(X2,X3,X4),vabs(X0,X5,veabs),X6) | vtcheck(X4,vsubst(X2,X1,vabs(X0,X5,veabs)),X6) | X2 = X0 | ~vtcheck(X4,X1,X3), inference(clausification, [status(esa)], [T-subst-abs-3])). % 18.66/3.21 cnf(c154, plain, vtcheck(sK364,sK366,sK363), inference(clausification, [status(esa)], [negated_conjecture])). % 18.66/3.21 cnf(c155, plain, vtcheck(vbind(sK365,sK363,sK364),vabs(sK367,sK368,veabs),sK369), inference(clausification, [status(esa)], [negated_conjecture])). % 18.66/3.21 cnf(c156, plain, ~vtcheck(sK364,vsubst(sK365,sK366,vabs(sK367,sK368,veabs)),sK369), inference(clausification, [status(esa)], [negated_conjecture])). % 18.66/3.21 cnf(d0, plain, sK365 = sK367 | ~vtcheck(sK364,X0,sK363) | vtcheck(sK364,vsubst(sK365,X0,vabs(sK367,sK368,veabs)),sK369) | visFreeVar(sK367,X0), inference(resolution, [status(thm)], [c5,c155])). % 18.66/3.21 cnf(d1, plain, sK365 = sK367 | ~vtcheck(sK364,sK366,sK363) | visFreeVar(sK367,sK366), inference(resolution, [status(thm)], [d0,c156])). % 18.66/3.21 cnf(d2, plain, sK365 = sK367 | visFreeVar(sK367,sK366), inference(resolution, [status(thm)], [c154,d1])). % 18.66/3.21 cnf(d3, plain, sK365 = sK367 | ~vtcheck(sK364,X0,sK363) | vtcheck(sK364,vsubst(sK365,X0,vabs(sK367,sK368,veabs)),sK369) | ~visFreeVar(sK367,X0), inference(resolution, [status(thm)], [c6,c155])). % 18.66/3.21 cnf(d4, plain, sK365 = sK367 | ~vtcheck(sK364,sK366,sK363) | ~visFreeVar(sK367,sK366), inference(resolution, [status(thm)], [d3,c156])). % 18.66/3.21 cnf(d5, plain, sK365 = sK367 | ~visFreeVar(sK367,sK366), inference(resolution, [status(thm)], [c154,d4])). % 18.66/3.21 cnf(d6, plain, sK365 = sK367 | sK365 = sK367, inference(resolution, [status(thm)], [d5,d2])). % 18.66/3.21 cnf(d7, plain, ~vtcheck(sK364,vsubst(sK365,sK366,vabs(sK365,sK368,veabs)),sK369), inference(demodulation, [status(thm)], [c156,d6])). % 18.66/3.21 cnf(d8, plain, vtcheck(vbind(sK365,sK363,sK364),vabs(sK365,sK368,veabs),sK369), inference(demodulation, [status(thm)], [c155,d6])). % 18.66/3.21 cnf(d9, plain, ~vtcheck(X0,X1,X2) | vtcheck(X0,vsubst(X3,X1,vabs(X3,X4,X5)),X6) | ~vtcheck(vbind(X3,X2,X0),vabs(X3,X4,X5),X6), inference(equality_resolution, [status(thm)], [c4])). % 18.66/3.21 cnf(d10, plain, ~vtcheck(sK364,X0,sK363) | vtcheck(sK364,vsubst(sK365,X0,vabs(sK365,sK368,veabs)),sK369), inference(resolution, [status(thm)], [d9,d8])). % 18.66/3.21 cnf(d11, plain, ~vtcheck(sK364,sK366,sK363), inference(resolution, [status(thm)], [d10,d7])). % 18.66/3.21 cnf(d12, plain, $false, inference(resolution, [status(thm)], [c154,d11])). % 18.66/3.21 % SZS output end CNFRefutation for theBenchmark.p %------------------------------------------------------------------------------