%------------------------------------------------------------------------------ % File : LisaST---0.9 % Problem : COM021+1 : TPTP v9.3.1. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p % Computer : n011.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 06:58:44 AM UTC 2026 % Result : Theorem 16.10s 2.72s % Output : CNFRefutation 16.10s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.02 % Problem : COM021+1 : TPTP v9.3.1. Released v4.0.0. % 0.00/0.03 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p % 0.09/0.36 % Computer : n011.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 23:22:30 UTC 2026 % 0.09/0.37 % CPUTime : % 0.09/0.37 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p % 16.10/2.72 % SZS status Theorem for theBenchmark.p % 16.10/2.72 % SZS output start CNFRefutation for theBenchmark.p % 16.10/2.72 fof(mTCDef, definition, ! [X0] : ! [X1] : ! [X2] : (((aElement0(X0) & (aRewritingSystem0(X1) & aElement0(X2))) => (sdtmndtplgtdt0(X0,X1,X2) <=> (aReductOfIn0(X2,X0,X1) | ? [X3] : ((aElement0(X3) & (aReductOfIn0(X3,X0,X1) & sdtmndtplgtdt0(X3,X1,X2))))))))). % 16.10/2.72 fof(mTCRDef, definition, ! [X0] : ! [X1] : ! [X2] : (((aElement0(X0) & (aRewritingSystem0(X1) & aElement0(X2))) => (sdtmndtasgtdt0(X0,X1,X2) <=> (X0 = X2 | sdtmndtplgtdt0(X0,X1,X2)))))). % 16.10/2.72 fof(mNFRDef, definition, ! [X0] : ! [X1] : (((aElement0(X0) & aRewritingSystem0(X1)) => ! [X2] : ((aNormalFormOfIn0(X2,X0,X1) <=> (aElement0(X2) & (sdtmndtasgtdt0(X0,X1,X2) & ~? [X3] : aReductOfIn0(X3,X2,X1)))))))). % 16.10/2.72 fof(m__656, hypothesis, aRewritingSystem0(xR)). % 16.10/2.72 fof(m__799, hypothesis, (aElement0(xw) & (sdtmndtasgtdt0(xu,xR,xw) & sdtmndtasgtdt0(xv,xR,xw)))). % 16.10/2.72 fof(m__818, hypothesis, aNormalFormOfIn0(xd,xw,xR)). % 16.10/2.72 fof(m__850, hypothesis, (aElement0(xx) & (sdtmndtasgtdt0(xb,xR,xx) & sdtmndtasgtdt0(xd,xR,xx)))). % 16.10/2.72 fof(m__, conjecture, sdtmndtasgtdt0(xb,xR,xd)). % 16.10/2.72 fof(negated_conjecture, negated_conjecture, ~sdtmndtasgtdt0(xb,xR,xd), inference(negate_conjecture, [status(cth)], [m__])). % 16.10/2.72 cnf(c1, plain, X0(X1,X2,X3) | ~aRewritingSystem0(X2) | ~sdtmndtplgtdt0(X1,X2,X3) | ~aElement0(X3) | ~aElement0(X1), inference(clausification, [status(esa)], [mTCDef])). % 16.10/2.72 cnf(c4, plain, ~X0(X1,X2,X3) | aReductOfIn0(X3,X1,X2) | aReductOfIn0(sK14(X1,X2,X3),X1,X2), inference(clausification, [status(esa)], [mTCDef])). % 16.10/2.72 cnf(c9, plain, ~aRewritingSystem0(X0) | X1 = X2 | ~sdtmndtasgtdt0(X1,X0,X2) | sdtmndtplgtdt0(X1,X0,X2) | ~aElement0(X1) | ~aElement0(X2), inference(clausification, [status(esa)], [mTCRDef])). % 16.10/2.72 cnf(c42, plain, ~aElement0(X0) | ~aRewritingSystem0(X1) | ~aNormalFormOfIn0(X2,X0,X1) | aElement0(X2), inference(clausification, [status(esa)], [mNFRDef])). % 16.10/2.72 cnf(c44, plain, ~aElement0(X0) | ~aRewritingSystem0(X1) | ~aNormalFormOfIn0(X2,X0,X1) | ~aReductOfIn0(X3,X2,X1), inference(clausification, [status(esa)], [mNFRDef])). % 16.10/2.72 cnf(c47, plain, aRewritingSystem0(xR), inference(clausification, [status(esa)], [m__656])). % 16.10/2.72 cnf(c64, plain, aElement0(xw), inference(clausification, [status(esa)], [m__799])). % 16.10/2.72 cnf(c67, plain, aNormalFormOfIn0(xd,xw,xR), inference(clausification, [status(esa)], [m__818])). % 16.10/2.72 cnf(c68, plain, aElement0(xx), inference(clausification, [status(esa)], [m__850])). % 16.10/2.72 cnf(c69, plain, sdtmndtasgtdt0(xb,xR,xx), inference(clausification, [status(esa)], [m__850])). % 16.10/2.72 cnf(c70, plain, sdtmndtasgtdt0(xd,xR,xx), inference(clausification, [status(esa)], [m__850])). % 16.10/2.72 cnf(c71, plain, ~sdtmndtasgtdt0(xb,xR,xd), inference(clausification, [status(esa)], [negated_conjecture])). % 16.10/2.72 cnf(d0, plain, xd = xx | ~aRewritingSystem0(xR) | ~aElement0(xx) | ~aElement0(xd) | sdtmndtplgtdt0(xd,xR,xx), inference(resolution, [status(thm)], [c70,c9])). % 16.10/2.72 cnf(d1, plain, xd = xx | ~aElement0(xd) | ~aElement0(xx) | sdtmndtplgtdt0(xd,xR,xx), inference(resolution, [status(thm)], [c47,d0])). % 16.10/2.72 cnf(d2, plain, xd = xx | ~aElement0(xd) | sdtmndtplgtdt0(xd,xR,xx), inference(resolution, [status(thm)], [c68,d1])). % 16.10/2.72 cnf(d3, plain, ~aRewritingSystem0(xR) | ~aElement0(xw) | aElement0(xd), inference(resolution, [status(thm)], [c42,c67])). % 16.10/2.72 cnf(d4, plain, ~aElement0(xw) | aElement0(xd), inference(resolution, [status(thm)], [c47,d3])). % 16.10/2.72 cnf(d5, plain, aElement0(xd), inference(resolution, [status(thm)], [c64,d4])). % 16.10/2.72 cnf(d6, plain, xd = xx | sdtmndtplgtdt0(xd,xR,xx), inference(resolution, [status(thm)], [d5,d2])). % 16.10/2.72 cnf(d7, plain, xd = xx | ~aRewritingSystem0(xR) | ~aElement0(xd) | ~aElement0(xx) | 'Ts10'(xd,xR,xx), inference(resolution, [status(thm)], [d6,c1])). % 16.10/2.72 cnf(d8, plain, xd = xx | ~aElement0(xd) | ~aElement0(xx) | 'Ts10'(xd,xR,xx), inference(resolution, [status(thm)], [c47,d7])). % 16.10/2.72 cnf(d9, plain, xd = xx | ~aElement0(xd) | 'Ts10'(xd,xR,xx), inference(resolution, [status(thm)], [c68,d8])). % 16.10/2.72 cnf(d10, plain, xd = xx | 'Ts10'(xd,xR,xx), inference(resolution, [status(thm)], [d5,d9])). % 16.10/2.72 cnf(d11, plain, ~aRewritingSystem0(xR) | ~aReductOfIn0(X0,xd,xR) | ~aElement0(xw), inference(resolution, [status(thm)], [c44,c67])). % 16.10/2.72 cnf(d12, plain, ~aReductOfIn0(X0,xd,xR) | ~aElement0(xw), inference(resolution, [status(thm)], [c47,d11])). % 16.10/2.72 cnf(d13, plain, ~aReductOfIn0(X0,xd,xR), inference(resolution, [status(thm)], [c64,d12])). % 16.10/2.72 cnf(d14, plain, aReductOfIn0(X0,xd,xR) | ~'Ts10'(xd,xR,X0), inference(resolution, [status(thm)], [d13,c4])). % 16.10/2.72 cnf(d15, plain, ~'Ts10'(xd,xR,X0), inference(resolution, [status(thm)], [d13,d14])). % 16.10/2.72 cnf(d16, plain, xd = xx, inference(resolution, [status(thm)], [d15,d10])). % 16.10/2.72 cnf(d17, plain, sdtmndtasgtdt0(xb,xR,xd), inference(demodulation, [status(thm)], [c69,d16])). % 16.10/2.72 cnf(d18, plain, $false, inference(resolution, [status(thm)], [c71,d17])). % 16.10/2.72 % SZS output end CNFRefutation for theBenchmark.p %------------------------------------------------------------------------------