%------------------------------------------------------------------------------ % File : LisaST---0.9 % Problem : COM125+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 : n013.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 06:58:51 AM UTC 2026 % Result : Theorem 15.25s 3.20s % Output : CNFRefutation 15.25s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.03 % Problem : COM125+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 % 0.09/0.36 % Computer : n013.cluster.edu % 0.09/0.36 % Model : x86_64 x86_64 % 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.09/0.36 % Memory : 8046.5625MB % 0.09/0.36 % OS : Linux 6.8.0-71-generic % 0.09/0.36 % CPULimit : 300 % 0.09/0.36 % WCLimit : 300 % 0.09/0.36 % DateTime : Sat Sep 26 23:30:06 UTC 2026 % 0.14/0.36 % CPUTime : % 0.14/0.36 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p % 15.25/3.20 % SZS status Theorem for theBenchmark.p % 15.25/3.20 % SZS output start CNFRefutation for theBenchmark.p % 15.25/3.20 fof(T-Weak-FreeVar-abs-1, axiom, ! [X0] : ! [X1] : ! [X2] : ! [X3] : ! [X4] : ! [X5] : (((X0 != X3 & (~visFreeVar(X0,vabs(X3,X4,veabs)) & vtcheck(X2,vabs(X3,X4,veabs),X5))) => vtcheck(vbind(X0,X1,X2),vabs(X3,X4,veabs),X5)))). % 15.25/3.20 fof(T-Weak-FreeVar-abs-2, axiom, ! [X0] : ! [X1] : ! [X2] : ! [X3] : ! [X4] : ! [X5] : (((X0 = X3 & (~visFreeVar(X0,vabs(X3,X4,veabs)) & vtcheck(X2,vabs(X3,X4,veabs),X5))) => vtcheck(vbind(X0,X1,X2),vabs(X3,X4,veabs),X5)))). % 15.25/3.20 fof(isFreeVar1, axiom, ! [X0] : ! [X1] : ! [X2] : ! [X3] : ! [X4] : ! [X5] : (((X1 = X4 & X2 = vabs(X3,X0,X5)) => (((X3 != X4 & visFreeVar(X4,X5)) => visFreeVar(X1,X2)) & (visFreeVar(X1,X2) => (X3 != X4 & visFreeVar(X4,X5))))))). % 15.25/3.20 fof(T-Weak-FreeVar-abs, conjecture, ! [X0] : ! [X1] : ! [X2] : ! [X3] : ! [X4] : ! [X5] : (((~visFreeVar(X0,vabs(X3,X4,veabs)) & vtcheck(X2,vabs(X3,X4,veabs),X5)) => vtcheck(vbind(X0,X1,X2),vabs(X3,X4,veabs),X5)))). % 15.25/3.20 fof(negated_conjecture, negated_conjecture, ~! [X0] : ! [X1] : ! [X2] : ! [X3] : ! [X4] : ! [X5] : (((~visFreeVar(X0,vabs(X3,X4,veabs)) & vtcheck(X2,vabs(X3,X4,veabs),X5)) => vtcheck(vbind(X0,X1,X2),vabs(X3,X4,veabs),X5))), inference(negate_conjecture, [status(cth)], [T-Weak-FreeVar-abs])). % 15.25/3.20 cnf(c3, plain, X0 = X1 | visFreeVar(X0,vabs(X1,X2,veabs)) | ~vtcheck(X3,vabs(X1,X2,veabs),X4) | vtcheck(vbind(X0,X5,X3),vabs(X1,X2,veabs),X4), inference(clausification, [status(esa)], [T-Weak-FreeVar-abs-1])). % 15.25/3.20 cnf(c4, plain, X0 != X1 | visFreeVar(X0,vabs(X1,X2,veabs)) | ~vtcheck(X3,vabs(X1,X2,veabs),X4) | vtcheck(vbind(X0,X5,X3),vabs(X1,X2,veabs),X4), inference(clausification, [status(esa)], [T-Weak-FreeVar-abs-2])). % 15.25/3.20 cnf(c23, plain, X0 != X1 | X2 != vabs(X3,X4,X5) | ~visFreeVar(X0,X2) | X3 != X1, inference(clausification, [status(esa)], [isFreeVar1])). % 15.25/3.20 cnf(c152, plain, ~visFreeVar(sK347,vabs(sK350,sK351,veabs)), inference(clausification, [status(esa)], [negated_conjecture])). % 15.25/3.20 cnf(c153, plain, vtcheck(sK349,vabs(sK350,sK351,veabs),sK352), inference(clausification, [status(esa)], [negated_conjecture])). % 15.25/3.20 cnf(c154, plain, ~vtcheck(vbind(sK347,sK348,sK349),vabs(sK350,sK351,veabs),sK352), inference(clausification, [status(esa)], [negated_conjecture])). % 15.25/3.20 cnf(d0, plain, sK347 = sK350 | ~vtcheck(sK349,vabs(sK350,sK351,veabs),sK352) | visFreeVar(sK347,vabs(sK350,sK351,veabs)), inference(resolution, [status(thm)], [c3,c154])). % 15.25/3.20 cnf(d1, plain, sK347 = sK350 | ~vtcheck(sK349,vabs(sK350,sK351,veabs),sK352), inference(resolution, [status(thm)], [c152,d0])). % 15.25/3.20 cnf(d2, plain, sK347 = sK350, inference(resolution, [status(thm)], [c153,d1])). % 15.25/3.20 cnf(d3, plain, ~vtcheck(vbind(sK350,sK348,sK349),vabs(sK350,sK351,veabs),sK352), inference(demodulation, [status(thm)], [c154,d2])). % 15.25/3.20 cnf(d4, plain, ~vtcheck(X0,vabs(X1,X2,veabs),X3) | vtcheck(vbind(X1,X4,X0),vabs(X1,X2,veabs),X3) | visFreeVar(X1,vabs(X1,X2,veabs)), inference(equality_resolution, [status(thm)], [c4])). % 15.25/3.20 cnf(d5, plain, X0 != X1 | X2 != X1 | ~visFreeVar(X0,vabs(X2,X3,X4)), inference(equality_resolution, [status(thm)], [c23])). % 15.25/3.20 cnf(d6, plain, X0 != X1 | ~visFreeVar(X1,vabs(X0,X2,X3)), inference(equality_resolution, [status(thm)], [d5])). % 15.25/3.20 cnf(d7, plain, ~visFreeVar(X0,vabs(X0,X1,X2)), inference(equality_resolution, [status(thm)], [d6])). % 15.25/3.20 cnf(d8, plain, ~vtcheck(X0,vabs(X1,X2,veabs),X3) | vtcheck(vbind(X1,X4,X0),vabs(X1,X2,veabs),X3), inference(resolution, [status(thm)], [d7,d4])). % 15.25/3.20 cnf(d9, plain, ~vtcheck(sK349,vabs(sK350,sK351,veabs),sK352), inference(resolution, [status(thm)], [d8,d3])). % 15.25/3.20 cnf(d10, plain, $false, inference(resolution, [status(thm)], [c153,d9])). % 15.25/3.20 % SZS output end CNFRefutation for theBenchmark.p %------------------------------------------------------------------------------