%------------------------------------------------------------------------------ % File : LisaST---0.9 % Problem : COM022+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 : n015.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 21.69s 3.36s % Output : CNFRefutation 21.69s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.05 % Problem : COM022+1 : TPTP v9.3.1. Released v4.0.0. % 0.00/0.07 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p % 0.19/0.44 % Computer : n015.cluster.edu % 0.19/0.44 % Model : x86_64 x86_64 % 0.19/0.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.19/0.44 % Memory : 8046.5625MB % 0.19/0.44 % OS : Linux 6.8.0-71-generic % 0.19/0.44 % CPULimit : 300 % 0.19/0.44 % WCLimit : 300 % 0.19/0.44 % DateTime : Sat Sep 26 23:26:31 UTC 2026 % 0.19/0.45 % CPUTime : % 0.19/0.45 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p % 21.69/3.36 % SZS status Theorem for theBenchmark.p % 21.69/3.36 % SZS output start CNFRefutation for theBenchmark.p % 21.69/3.36 fof(mTCRDef, definition, ! [X0] : ! [X1] : ! [X2] : (((aElement0(X0) & (aRewritingSystem0(X1) & aElement0(X2))) => (sdtmndtasgtdt0(X0,X1,X2) <=> (X0 = X2 | sdtmndtplgtdt0(X0,X1,X2)))))). % 21.69/3.36 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)))))))). % 21.69/3.36 fof(m__656, hypothesis, aRewritingSystem0(xR)). % 21.69/3.36 fof(m__731, hypothesis, (aElement0(xa) & (aElement0(xb) & aElement0(xc)))). % 21.69/3.36 fof(m__, conjecture, (((sdtmndtplgtdt0(xa,xR,xb) & sdtmndtplgtdt0(xa,xR,xc)) => ? [X0] : ((aElement0(X0) & (aReductOfIn0(X0,xa,xR) & (sdtmndtasgtdt0(X0,xR,xb) & ? [X1] : ((aElement0(X1) & (aReductOfIn0(X1,xa,xR) & (sdtmndtasgtdt0(X1,xR,xc) & ? [X2] : ((aElement0(X2) & (sdtmndtasgtdt0(X0,xR,X2) & (sdtmndtasgtdt0(X1,xR,X2) & ? [X3] : ((aNormalFormOfIn0(X3,X2,xR) & (sdtmndtasgtdt0(xb,xR,X3) & sdtmndtasgtdt0(xc,xR,X3))))))))))))))))) => ((sdtmndtasgtdt0(xa,xR,xb) & sdtmndtasgtdt0(xa,xR,xc)) => ? [X0] : ((aElement0(X0) & (sdtmndtasgtdt0(xb,xR,X0) & sdtmndtasgtdt0(xc,xR,X0))))))). % 21.69/3.36 fof(negated_conjecture, negated_conjecture, ~((((sdtmndtplgtdt0(xa,xR,xb) & sdtmndtplgtdt0(xa,xR,xc)) => ? [X0] : ((aElement0(X0) & (aReductOfIn0(X0,xa,xR) & (sdtmndtasgtdt0(X0,xR,xb) & ? [X1] : ((aElement0(X1) & (aReductOfIn0(X1,xa,xR) & (sdtmndtasgtdt0(X1,xR,xc) & ? [X2] : ((aElement0(X2) & (sdtmndtasgtdt0(X0,xR,X2) & (sdtmndtasgtdt0(X1,xR,X2) & ? [X3] : ((aNormalFormOfIn0(X3,X2,xR) & (sdtmndtasgtdt0(xb,xR,X3) & sdtmndtasgtdt0(xc,xR,X3))))))))))))))))) => ((sdtmndtasgtdt0(xa,xR,xb) & sdtmndtasgtdt0(xa,xR,xc)) => ? [X0] : ((aElement0(X0) & (sdtmndtasgtdt0(xb,xR,X0) & sdtmndtasgtdt0(xc,xR,X0))))))), inference(negate_conjecture, [status(cth)], [m__])). % 21.69/3.36 cnf(c9, plain, ~aRewritingSystem0(X0) | X1 = X2 | ~sdtmndtasgtdt0(X1,X0,X2) | sdtmndtplgtdt0(X1,X0,X2) | ~aElement0(X1) | ~aElement0(X2), inference(clausification, [status(esa)], [mTCRDef])). % 21.69/3.36 cnf(c10, plain, ~aRewritingSystem0(X0) | sdtmndtasgtdt0(X1,X0,X2) | X1 != X2 | ~aElement0(X1) | ~aElement0(X2), inference(clausification, [status(esa)], [mTCRDef])). % 21.69/3.36 cnf(c42, plain, ~aElement0(X0) | ~aRewritingSystem0(X1) | ~aNormalFormOfIn0(X2,X0,X1) | aElement0(X2), inference(clausification, [status(esa)], [mNFRDef])). % 21.69/3.36 cnf(c47, plain, aRewritingSystem0(xR), inference(clausification, [status(esa)], [m__656])). % 21.69/3.36 cnf(c50, plain, aElement0(xa), inference(clausification, [status(esa)], [m__731])). % 21.69/3.36 cnf(c51, plain, aElement0(xb), inference(clausification, [status(esa)], [m__731])). % 21.69/3.36 cnf(c52, plain, aElement0(xc), inference(clausification, [status(esa)], [m__731])). % 21.69/3.36 cnf(c56, plain, ~sdtmndtplgtdt0(xa,xR,xb) | ~sdtmndtplgtdt0(xa,xR,xc) | X0, inference(clausification, [status(esa)], [negated_conjecture])). % 21.69/3.36 cnf(c57, plain, sdtmndtasgtdt0(xa,xR,xb), inference(clausification, [status(esa)], [negated_conjecture])). % 21.69/3.36 cnf(c58, plain, sdtmndtasgtdt0(xa,xR,xc), inference(clausification, [status(esa)], [negated_conjecture])). % 21.69/3.37 cnf(c59, plain, ~aElement0(X0) | ~sdtmndtasgtdt0(xb,xR,X0) | ~sdtmndtasgtdt0(xc,xR,X0), inference(clausification, [status(esa)], [negated_conjecture])). % 21.69/3.37 cnf(c66, plain, ~X0 | aElement0(sK69), inference(clausification, [status(esa)], [negated_conjecture])). % 21.69/3.37 cnf(c69, plain, ~X0 | aNormalFormOfIn0(sK70,sK69,xR), inference(clausification, [status(esa)], [negated_conjecture])). % 21.69/3.37 cnf(c70, plain, ~X0 | sdtmndtasgtdt0(xb,xR,sK70), inference(clausification, [status(esa)], [negated_conjecture])). % 21.69/3.37 cnf(c71, plain, ~X0 | sdtmndtasgtdt0(xc,xR,sK70), inference(clausification, [status(esa)], [negated_conjecture])). % 21.69/3.37 cnf(d0, plain, ~aRewritingSystem0(X0) | ~aElement0(X1) | ~aElement0(X1) | sdtmndtasgtdt0(X1,X0,X1), inference(equality_resolution, [status(thm)], [c10])). % 21.69/3.37 cnf(d1, plain, ~aElement0(sK70) | ~sdtmndtasgtdt0(xb,xR,sK70) | ~'Ts65', inference(resolution, [status(thm)], [c59,c71])). % 21.69/3.37 cnf(d2, plain, ~aElement0(sK70) | ~'Ts65' | ~'Ts65', inference(resolution, [status(thm)], [d1,c70])). % 21.69/3.37 cnf(d3, plain, ~aRewritingSystem0(xR) | ~aElement0(sK69) | aElement0(sK70) | ~'Ts65', inference(resolution, [status(thm)], [c42,c69])). % 21.69/3.37 cnf(d4, plain, ~aRewritingSystem0(xR) | aElement0(sK70) | ~'Ts65' | ~'Ts65', inference(resolution, [status(thm)], [d3,c66])). % 21.69/3.37 cnf(d5, plain, aElement0(sK70) | ~'Ts65', inference(resolution, [status(thm)], [c47,d4])). % 21.69/3.37 cnf(d6, plain, ~'Ts65' | ~'Ts65', inference(resolution, [status(thm)], [d5,d2])). % 21.69/3.37 cnf(d7, plain, ~sdtmndtplgtdt0(xa,xR,xb) | ~sdtmndtplgtdt0(xa,xR,xc), inference(resolution, [status(thm)], [d6,c56])). % 21.69/3.37 cnf(d8, plain, xa = xc | ~aRewritingSystem0(xR) | ~aElement0(xc) | ~aElement0(xa) | sdtmndtplgtdt0(xa,xR,xc), inference(resolution, [status(thm)], [c9,c58])). % 21.69/3.37 cnf(d9, plain, xa = xc | ~aElement0(xa) | ~aElement0(xc) | sdtmndtplgtdt0(xa,xR,xc), inference(resolution, [status(thm)], [c47,d8])). % 21.69/3.37 cnf(d10, plain, xa = xc | ~aElement0(xc) | sdtmndtplgtdt0(xa,xR,xc), inference(resolution, [status(thm)], [c50,d9])). % 21.69/3.37 cnf(d11, plain, xa = xc | sdtmndtplgtdt0(xa,xR,xc), inference(resolution, [status(thm)], [c52,d10])). % 21.69/3.37 cnf(d12, plain, xa = xc | ~sdtmndtplgtdt0(xa,xR,xb), inference(resolution, [status(thm)], [d11,d7])). % 21.69/3.37 cnf(d13, plain, xa = xb | ~aRewritingSystem0(xR) | ~aElement0(xb) | ~aElement0(xa) | sdtmndtplgtdt0(xa,xR,xb), inference(resolution, [status(thm)], [c9,c57])). % 21.69/3.37 cnf(d14, plain, xa = xb | ~aElement0(xa) | ~aElement0(xb) | sdtmndtplgtdt0(xa,xR,xb), inference(resolution, [status(thm)], [c47,d13])). % 21.69/3.37 cnf(d15, plain, xa = xb | ~aElement0(xb) | sdtmndtplgtdt0(xa,xR,xb), inference(resolution, [status(thm)], [c50,d14])). % 21.69/3.37 cnf(d16, plain, xa = xb | sdtmndtplgtdt0(xa,xR,xb), inference(resolution, [status(thm)], [c51,d15])). % 21.69/3.37 cnf(d17, plain, xa = xb | xa = xc, inference(resolution, [status(thm)], [d16,d12])). % 21.69/3.37 cnf(d18, plain, ~sdtmndtasgtdt0(xa,xR,X0) | ~aElement0(X0) | ~sdtmndtasgtdt0(xb,xR,X0) | xa = xb, inference(superposition, [status(thm)], [d17,c59])). % 21.69/3.37 cnf(d19, plain, xa = xb | ~aElement0(xb) | ~sdtmndtasgtdt0(xa,xR,xb) | ~aRewritingSystem0(xR) | ~aElement0(xb), inference(resolution, [status(thm)], [d18,d0])). % 21.69/3.37 cnf(d20, plain, xa = xb | ~aRewritingSystem0(xR) | ~aElement0(xb), inference(resolution, [status(thm)], [c57,d19])). % 21.69/3.37 cnf(d21, plain, xa = xb | ~aElement0(xb), inference(resolution, [status(thm)], [c47,d20])). % 21.69/3.37 cnf(d22, plain, xa = xb, inference(resolution, [status(thm)], [c51,d21])). % 21.69/3.37 cnf(d23, plain, ~aRewritingSystem0(xR) | ~aElement0(xc) | ~aElement0(xc) | ~sdtmndtasgtdt0(xb,xR,xc), inference(resolution, [status(thm)], [d0,c59])). % 21.69/3.37 cnf(d24, plain, ~aElement0(xc) | ~sdtmndtasgtdt0(xb,xR,xc), inference(resolution, [status(thm)], [c47,d23])). % 21.69/3.37 cnf(d25, plain, ~sdtmndtasgtdt0(xb,xR,xc), inference(resolution, [status(thm)], [c52,d24])). % 21.69/3.37 cnf(d26, plain, ~sdtmndtasgtdt0(xa,xR,xc), inference(demodulation, [status(thm)], [d25,d22])). % 21.69/3.37 cnf(d27, plain, $false, inference(resolution, [status(thm)], [c58,d26])). % 21.69/3.37 % SZS output end CNFRefutation for theBenchmark.p %------------------------------------------------------------------------------