%------------------------------------------------------------------------------ % File : LisaST---0.9 % Problem : COM016+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 : n020.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 06:58:43 AM UTC 2026 % Result : Theorem 16.81s 2.83s % Output : CNFRefutation 16.81s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.03 % Problem : COM016+1 : TPTP v9.3.1. Released v4.0.0. % 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p % 0.08/0.36 % Computer : n020.cluster.edu % 0.08/0.36 % Model : x86_64 x86_64 % 0.08/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.08/0.36 % Memory : 8046.5625MB % 0.08/0.36 % OS : Linux 6.8.0-71-generic % 0.08/0.36 % CPULimit : 300 % 0.08/0.36 % WCLimit : 300 % 0.08/0.36 % DateTime : Sat Sep 26 23:22:35 UTC 2026 % 0.08/0.37 % CPUTime : % 0.08/0.37 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p % 16.81/2.83 % SZS status Theorem for theBenchmark.p % 16.81/2.83 % SZS output start CNFRefutation for theBenchmark.p % 16.81/2.83 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))))))))). % 16.81/2.83 fof(mTCRDef, definition, ! [X0] : ! [X1] : ! [X2] : (((aElement0(X0) & (aRewritingSystem0(X1) & aElement0(X2))) => (sdtmndtasgtdt0(X0,X1,X2) <=> (X0 = X2 | sdtmndtplgtdt0(X0,X1,X2)))))). % 16.81/2.83 fof(m__656, hypothesis, aRewritingSystem0(xR)). % 16.81/2.83 fof(m__731, hypothesis, (aElement0(xa) & (aElement0(xb) & aElement0(xc)))). % 16.81/2.83 fof(m__731_02, hypothesis, (sdtmndtplgtdt0(xa,xR,xb) & sdtmndtplgtdt0(xa,xR,xc))). % 16.81/2.83 fof(m__, conjecture, ? [X0] : ((aElement0(X0) & (aReductOfIn0(X0,xa,xR) & sdtmndtasgtdt0(X0,xR,xb))))). % 16.81/2.83 fof(negated_conjecture, negated_conjecture, ~? [X0] : ((aElement0(X0) & (aReductOfIn0(X0,xa,xR) & sdtmndtasgtdt0(X0,xR,xb)))), inference(negate_conjecture, [status(cth)], [m__])). % 16.81/2.83 cnf(c1, plain, X0(X1,X2,X3) | ~aRewritingSystem0(X2) | ~sdtmndtplgtdt0(X1,X2,X3) | ~aElement0(X3) | ~aElement0(X1), inference(clausification, [status(esa)], [mTCDef])). % 16.81/2.83 cnf(c3, plain, ~X0(X1,X2,X3) | aReductOfIn0(X3,X1,X2) | aElement0(sK14(X1,X2,X3)), inference(clausification, [status(esa)], [mTCDef])). % 16.81/2.83 cnf(c4, plain, ~X0(X1,X2,X3) | aReductOfIn0(X3,X1,X2) | aReductOfIn0(sK14(X1,X2,X3),X1,X2), inference(clausification, [status(esa)], [mTCDef])). % 16.81/2.83 cnf(c5, plain, ~X0(X1,X2,X3) | aReductOfIn0(X3,X1,X2) | sdtmndtplgtdt0(sK14(X1,X2,X3),X2,X3), inference(clausification, [status(esa)], [mTCDef])). % 16.81/2.83 cnf(c10, plain, ~aRewritingSystem0(X0) | sdtmndtasgtdt0(X1,X0,X2) | X1 != X2 | ~aElement0(X1) | ~aElement0(X2), inference(clausification, [status(esa)], [mTCRDef])). % 16.81/2.83 cnf(c11, plain, ~sdtmndtplgtdt0(X0,X1,X2) | ~aRewritingSystem0(X1) | sdtmndtasgtdt0(X0,X1,X2) | ~aElement0(X0) | ~aElement0(X2), inference(clausification, [status(esa)], [mTCRDef])). % 16.81/2.83 cnf(c47, plain, aRewritingSystem0(xR), inference(clausification, [status(esa)], [m__656])). % 16.81/2.83 cnf(c50, plain, aElement0(xa), inference(clausification, [status(esa)], [m__731])). % 16.81/2.83 cnf(c51, plain, aElement0(xb), inference(clausification, [status(esa)], [m__731])). % 16.81/2.83 cnf(c56, plain, sdtmndtplgtdt0(xa,xR,xb), inference(clausification, [status(esa)], [m__731_02])). % 16.81/2.83 cnf(c58, plain, ~aElement0(X0) | ~aReductOfIn0(X0,xa,xR) | ~sdtmndtasgtdt0(X0,xR,xb), inference(clausification, [status(esa)], [negated_conjecture])). % 16.81/2.83 cnf(d0, plain, ~aRewritingSystem0(X0) | ~aElement0(X1) | ~aElement0(sK14(X2,X0,X1)) | sdtmndtasgtdt0(sK14(X2,X0,X1),X0,X1) | aReductOfIn0(X1,X2,X0) | ~'Ts10'(X2,X0,X1), inference(resolution, [status(thm)], [c11,c5])). % 16.81/2.83 cnf(d1, plain, ~aRewritingSystem0(xR) | aReductOfIn0(xb,X0,xR) | ~aElement0(xb) | ~aElement0(sK14(X0,xR,xb)) | ~'Ts10'(X0,xR,xb) | ~aReductOfIn0(sK14(X0,xR,xb),xa,xR) | ~aElement0(sK14(X0,xR,xb)), inference(resolution, [status(thm)], [d0,c58])). % 16.81/2.83 cnf(d2, plain, ~aReductOfIn0(sK14(X0,xR,xb),xa,xR) | aReductOfIn0(xb,X0,xR) | ~aElement0(sK14(X0,xR,xb)) | ~aElement0(xb) | ~'Ts10'(X0,xR,xb), inference(resolution, [status(thm)], [c47,d1])). % 16.81/2.83 cnf(d3, plain, ~aReductOfIn0(sK14(X0,xR,xb),xa,xR) | aReductOfIn0(xb,X0,xR) | ~aElement0(sK14(X0,xR,xb)) | ~'Ts10'(X0,xR,xb), inference(resolution, [status(thm)], [c51,d2])). % 16.81/2.83 cnf(d4, plain, aReductOfIn0(xb,xa,xR) | ~aElement0(sK14(xa,xR,xb)) | ~'Ts10'(xa,xR,xb) | aReductOfIn0(xb,xa,xR) | ~'Ts10'(xa,xR,xb), inference(resolution, [status(thm)], [d3,c4])). % 16.81/2.83 cnf(d5, plain, ~aRewritingSystem0(X0) | ~aElement0(X1) | ~aElement0(X1) | sdtmndtasgtdt0(X1,X0,X1), inference(equality_resolution, [status(thm)], [c10])). % 16.81/2.83 cnf(d6, plain, ~aRewritingSystem0(xR) | ~aElement0(xb) | ~aReductOfIn0(xb,xa,xR) | ~aElement0(xb), inference(resolution, [status(thm)], [d5,c58])). % 16.81/2.83 cnf(d7, plain, ~aReductOfIn0(xb,xa,xR) | ~aElement0(xb), inference(resolution, [status(thm)], [c47,d6])). % 16.81/2.83 cnf(d8, plain, ~aReductOfIn0(xb,xa,xR), inference(resolution, [status(thm)], [c51,d7])). % 16.81/2.83 cnf(d9, plain, ~aElement0(sK14(xa,xR,xb)) | ~'Ts10'(xa,xR,xb), inference(resolution, [status(thm)], [d8,d4])). % 16.81/2.83 cnf(d10, plain, ~aRewritingSystem0(xR) | ~aElement0(xa) | ~aElement0(xb) | 'Ts10'(xa,xR,xb), inference(resolution, [status(thm)], [c56,c1])). % 16.81/2.83 cnf(d11, plain, ~aElement0(xa) | ~aElement0(xb) | 'Ts10'(xa,xR,xb), inference(resolution, [status(thm)], [c47,d10])). % 16.81/2.83 cnf(d12, plain, ~aElement0(xb) | 'Ts10'(xa,xR,xb), inference(resolution, [status(thm)], [c50,d11])). % 16.81/2.83 cnf(d13, plain, 'Ts10'(xa,xR,xb), inference(resolution, [status(thm)], [c51,d12])). % 16.81/2.83 cnf(d14, plain, ~aElement0(sK14(xa,xR,xb)), inference(resolution, [status(thm)], [d13,d9])). % 16.81/2.83 cnf(d15, plain, aReductOfIn0(xb,xa,xR) | ~'Ts10'(xa,xR,xb), inference(resolution, [status(thm)], [d14,c3])). % 16.81/2.83 cnf(d16, plain, ~'Ts10'(xa,xR,xb), inference(resolution, [status(thm)], [d8,d15])). % 16.81/2.83 cnf(d17, plain, $false, inference(resolution, [status(thm)], [d13,d16])). % 16.81/2.83 % SZS output end CNFRefutation for theBenchmark.p %------------------------------------------------------------------------------