%------------------------------------------------------------------------------ % File : LisaST---0.9 % Problem : COM020+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 : n010.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 18.43s 2.98s % Output : CNFRefutation 18.43s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.03 % Problem : COM020+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 % 0.09/0.56 % Computer : n010.cluster.edu % 0.09/0.56 % Model : x86_64 x86_64 % 0.09/0.56 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.09/0.56 % Memory : 8046.5625MB % 0.09/0.56 % OS : Linux 6.8.0-71-generic % 0.09/0.56 % CPULimit : 300 % 0.09/0.56 % WCLimit : 300 % 0.09/0.56 % DateTime : Sat Sep 26 23:23:03 UTC 2026 % 0.09/0.56 % CPUTime : % 0.09/0.56 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p % 18.43/2.98 % SZS status Theorem for theBenchmark.p % 18.43/2.98 % SZS output start CNFRefutation for theBenchmark.p % 18.43/2.98 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))))))))). % 18.43/2.98 fof(mTCRTrans, axiom, ! [X0] : ! [X1] : ! [X2] : ! [X3] : (((aElement0(X0) & (aRewritingSystem0(X1) & (aElement0(X2) & aElement0(X3)))) => ((sdtmndtasgtdt0(X0,X1,X2) & sdtmndtasgtdt0(X2,X1,X3)) => sdtmndtasgtdt0(X0,X1,X3))))). % 18.43/2.98 fof(mTermin, definition, ! [X0] : ((aRewritingSystem0(X0) => (isTerminating0(X0) <=> ! [X1] : ! [X2] : (((aElement0(X1) & aElement0(X2)) => (sdtmndtplgtdt0(X1,X0,X2) => iLess0(X2,X1)))))))). % 18.43/2.98 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)))))))). % 18.43/2.98 fof(m__656, hypothesis, aRewritingSystem0(xR)). % 18.43/2.98 fof(m__656_01, hypothesis, (isLocallyConfluent0(xR) & isTerminating0(xR))). % 18.43/2.98 fof(m__731, hypothesis, (aElement0(xa) & (aElement0(xb) & aElement0(xc)))). % 18.43/2.98 fof(m__715, hypothesis, ! [X0] : ! [X1] : ! [X2] : (((aElement0(X0) & (aElement0(X1) & (aElement0(X2) & (sdtmndtasgtdt0(X0,xR,X1) & sdtmndtasgtdt0(X0,xR,X2))))) => (iLess0(X0,xa) => ? [X3] : ((aElement0(X3) & (sdtmndtasgtdt0(X1,xR,X3) & sdtmndtasgtdt0(X2,xR,X3)))))))). % 18.43/2.98 fof(m__755, hypothesis, (aElement0(xu) & (aReductOfIn0(xu,xa,xR) & sdtmndtasgtdt0(xu,xR,xb)))). % 18.43/2.98 fof(m__799, hypothesis, (aElement0(xw) & (sdtmndtasgtdt0(xu,xR,xw) & sdtmndtasgtdt0(xv,xR,xw)))). % 18.43/2.98 fof(m__818, hypothesis, aNormalFormOfIn0(xd,xw,xR)). % 18.43/2.98 fof(m__, conjecture, ? [X0] : ((aElement0(X0) & (sdtmndtasgtdt0(xb,xR,X0) & sdtmndtasgtdt0(xd,xR,X0))))). % 18.43/2.98 fof(negated_conjecture, negated_conjecture, ~? [X0] : ((aElement0(X0) & (sdtmndtasgtdt0(xb,xR,X0) & sdtmndtasgtdt0(xd,xR,X0)))), inference(negate_conjecture, [status(cth)], [m__])). % 18.43/2.98 cnf(c2, plain, sdtmndtplgtdt0(X0,X1,X2) | ~aRewritingSystem0(X1) | ~X3(X0,X1,X2) | ~aElement0(X2) | ~aElement0(X0), inference(clausification, [status(esa)], [mTCDef])). % 18.43/2.98 cnf(c6, plain, X0(X1,X2,X3) | ~aReductOfIn0(X3,X1,X2), inference(clausification, [status(esa)], [mTCDef])). % 18.43/2.98 cnf(c12, plain, ~sdtmndtasgtdt0(X0,X1,X2) | sdtmndtasgtdt0(X0,X1,X3) | ~sdtmndtasgtdt0(X2,X1,X3) | ~aElement0(X3) | ~aElement0(X0) | ~aRewritingSystem0(X1) | ~aElement0(X2), inference(clausification, [status(esa)], [mTCRTrans])). % 18.43/2.98 cnf(c35, plain, ~aRewritingSystem0(X0) | ~isTerminating0(X0) | X1(X0), inference(clausification, [status(esa)], [mTermin])). % 18.43/2.98 cnf(c37, plain, ~aElement0(X0) | ~aElement0(X1) | iLess0(X0,X1) | ~X2(X3) | ~sdtmndtplgtdt0(X1,X3,X0), inference(clausification, [status(esa)], [mTermin])). % 18.43/2.98 cnf(c42, plain, ~aElement0(X0) | ~aRewritingSystem0(X1) | ~aNormalFormOfIn0(X2,X0,X1) | aElement0(X2), inference(clausification, [status(esa)], [mNFRDef])). % 18.43/2.98 cnf(c43, plain, ~aElement0(X0) | ~aRewritingSystem0(X1) | ~aNormalFormOfIn0(X2,X0,X1) | sdtmndtasgtdt0(X0,X1,X2), inference(clausification, [status(esa)], [mNFRDef])). % 18.43/2.98 cnf(c47, plain, aRewritingSystem0(xR), inference(clausification, [status(esa)], [m__656])). % 18.43/2.98 cnf(c49, plain, isTerminating0(xR), inference(clausification, [status(esa)], [m__656_01])). % 18.43/2.98 cnf(c50, plain, aElement0(xa), inference(clausification, [status(esa)], [m__731])). % 18.43/2.98 cnf(c51, plain, aElement0(xb), inference(clausification, [status(esa)], [m__731])). % 18.43/2.98 cnf(c53, plain, ~aElement0(X0) | ~sdtmndtasgtdt0(X1,xR,X2) | ~iLess0(X1,xa) | ~aElement0(X2) | ~sdtmndtasgtdt0(X1,xR,X0) | ~aElement0(X1) | aElement0(sK64(X0,X2)), inference(clausification, [status(esa)], [m__715])). % 18.43/2.98 cnf(c54, plain, ~aElement0(X0) | ~sdtmndtasgtdt0(X1,xR,X2) | ~iLess0(X1,xa) | sdtmndtasgtdt0(X0,xR,sK64(X0,X2)) | ~aElement0(X1) | ~aElement0(X2) | ~sdtmndtasgtdt0(X1,xR,X0), inference(clausification, [status(esa)], [m__715])). % 18.43/2.98 cnf(c55, plain, ~aElement0(X0) | ~sdtmndtasgtdt0(X1,xR,X2) | ~iLess0(X1,xa) | sdtmndtasgtdt0(X2,xR,sK64(X0,X2)) | ~aElement0(X1) | ~aElement0(X2) | ~sdtmndtasgtdt0(X1,xR,X0), inference(clausification, [status(esa)], [m__715])). % 18.43/2.98 cnf(c58, plain, aElement0(xu), inference(clausification, [status(esa)], [m__755])). % 18.43/2.98 cnf(c59, plain, aReductOfIn0(xu,xa,xR), inference(clausification, [status(esa)], [m__755])). % 18.43/2.98 cnf(c60, plain, sdtmndtasgtdt0(xu,xR,xb), inference(clausification, [status(esa)], [m__755])). % 18.43/2.98 cnf(c64, plain, aElement0(xw), inference(clausification, [status(esa)], [m__799])). % 18.43/2.98 cnf(c65, plain, sdtmndtasgtdt0(xu,xR,xw), inference(clausification, [status(esa)], [m__799])). % 18.43/2.98 cnf(c67, plain, aNormalFormOfIn0(xd,xw,xR), inference(clausification, [status(esa)], [m__818])). % 18.43/2.98 cnf(c68, plain, ~aElement0(X0) | ~sdtmndtasgtdt0(xb,xR,X0) | ~sdtmndtasgtdt0(xd,xR,X0), inference(clausification, [status(esa)], [negated_conjecture])). % 18.43/2.98 cnf(d0, plain, ~aRewritingSystem0(xR) | ~aElement0(xw) | sdtmndtasgtdt0(xw,xR,xd), inference(resolution, [status(thm)], [c43,c67])). % 18.43/2.98 cnf(d1, plain, ~aElement0(xw) | sdtmndtasgtdt0(xw,xR,xd), inference(resolution, [status(thm)], [c47,d0])). % 18.43/2.98 cnf(d2, plain, sdtmndtasgtdt0(xw,xR,xd), inference(resolution, [status(thm)], [c64,d1])). % 18.43/2.98 cnf(d3, plain, ~aRewritingSystem0(xR) | ~aElement0(X0) | ~aElement0(xw) | ~aElement0(xu) | ~sdtmndtasgtdt0(xw,xR,X0) | sdtmndtasgtdt0(xu,xR,X0), inference(resolution, [status(thm)], [c65,c12])). % 18.43/2.98 cnf(d4, plain, ~aElement0(X0) | ~aElement0(xu) | ~aElement0(xw) | sdtmndtasgtdt0(xu,xR,X0) | ~sdtmndtasgtdt0(xw,xR,X0), inference(resolution, [status(thm)], [c47,d3])). % 18.43/2.98 cnf(d5, plain, ~aElement0(X0) | ~aElement0(xw) | sdtmndtasgtdt0(xu,xR,X0) | ~sdtmndtasgtdt0(xw,xR,X0), inference(resolution, [status(thm)], [c58,d4])). % 18.43/2.98 cnf(d6, plain, ~aElement0(X0) | sdtmndtasgtdt0(xu,xR,X0) | ~sdtmndtasgtdt0(xw,xR,X0), inference(resolution, [status(thm)], [c64,d5])). % 18.43/2.98 cnf(d7, plain, ~aElement0(xd) | sdtmndtasgtdt0(xu,xR,xd), inference(resolution, [status(thm)], [d6,d2])). % 18.43/2.98 cnf(d8, plain, ~aRewritingSystem0(xR) | ~aElement0(xw) | aElement0(xd), inference(resolution, [status(thm)], [c42,c67])). % 18.43/2.98 cnf(d9, plain, ~aElement0(xw) | aElement0(xd), inference(resolution, [status(thm)], [c47,d8])). % 18.43/2.98 cnf(d10, plain, aElement0(xd), inference(resolution, [status(thm)], [c64,d9])). % 18.43/2.98 cnf(d11, plain, sdtmndtasgtdt0(xu,xR,xd), inference(resolution, [status(thm)], [d10,d7])). % 18.43/2.98 cnf(d12, plain, ~aElement0(X0) | ~aElement0(xu) | ~aElement0(xb) | aElement0(sK64(xb,X0)) | ~sdtmndtasgtdt0(xu,xR,X0) | ~iLess0(xu,xa), inference(resolution, [status(thm)], [c53,c60])). % 18.43/2.98 cnf(d13, plain, ~aElement0(X0) | aElement0(sK64(xb,X0)) | ~aElement0(xu) | ~sdtmndtasgtdt0(xu,xR,X0) | ~iLess0(xu,xa), inference(resolution, [status(thm)], [c51,d12])). % 18.43/2.98 cnf(d14, plain, ~aElement0(X0) | aElement0(sK64(xb,X0)) | ~sdtmndtasgtdt0(xu,xR,X0) | ~iLess0(xu,xa), inference(resolution, [status(thm)], [c58,d13])). % 18.43/2.98 cnf(d15, plain, 'Ts10'(xa,xR,xu), inference(resolution, [status(thm)], [c59,c6])). % 18.43/2.98 cnf(d16, plain, ~aRewritingSystem0(xR) | ~aElement0(xu) | ~aElement0(xa) | sdtmndtplgtdt0(xa,xR,xu), inference(resolution, [status(thm)], [d15,c2])). % 18.43/2.98 cnf(d17, plain, ~aElement0(xa) | ~aElement0(xu) | sdtmndtplgtdt0(xa,xR,xu), inference(resolution, [status(thm)], [c47,d16])). % 18.43/2.98 cnf(d18, plain, ~aElement0(xu) | sdtmndtplgtdt0(xa,xR,xu), inference(resolution, [status(thm)], [c50,d17])). % 18.43/2.98 cnf(d19, plain, sdtmndtplgtdt0(xa,xR,xu), inference(resolution, [status(thm)], [c58,d18])). % 18.43/2.98 cnf(d20, plain, ~aElement0(xu) | ~aElement0(xa) | ~'Ts47'(xR) | iLess0(xu,xa), inference(resolution, [status(thm)], [d19,c37])). % 18.43/2.98 cnf(d21, plain, ~aElement0(xu) | ~'Ts47'(xR) | iLess0(xu,xa), inference(resolution, [status(thm)], [c50,d20])). % 18.43/2.98 cnf(d22, plain, ~'Ts47'(xR) | iLess0(xu,xa), inference(resolution, [status(thm)], [c58,d21])). % 18.43/2.98 cnf(d23, plain, ~aRewritingSystem0(xR) | 'Ts47'(xR), inference(resolution, [status(thm)], [c35,c49])). % 18.43/2.98 cnf(d24, plain, 'Ts47'(xR), inference(resolution, [status(thm)], [c47,d23])). % 18.43/2.98 cnf(d25, plain, iLess0(xu,xa), inference(resolution, [status(thm)], [d24,d22])). % 18.43/2.98 cnf(d26, plain, ~aElement0(X0) | aElement0(sK64(xb,X0)) | ~sdtmndtasgtdt0(xu,xR,X0), inference(resolution, [status(thm)], [d25,d14])). % 18.43/2.98 cnf(d27, plain, ~aElement0(xd) | aElement0(sK64(xb,xd)), inference(resolution, [status(thm)], [d26,d11])). % 18.43/2.98 cnf(d28, plain, aElement0(sK64(xb,xd)), inference(resolution, [status(thm)], [d10,d27])). % 18.43/2.98 cnf(d29, plain, ~aElement0(X0) | ~aElement0(xu) | ~aElement0(xb) | ~sdtmndtasgtdt0(xu,xR,X0) | sdtmndtasgtdt0(xb,xR,sK64(xb,X0)) | ~iLess0(xu,xa), inference(resolution, [status(thm)], [c54,c60])). % 18.43/2.98 cnf(d30, plain, ~aElement0(X0) | ~aElement0(xu) | sdtmndtasgtdt0(xb,xR,sK64(xb,X0)) | ~sdtmndtasgtdt0(xu,xR,X0) | ~iLess0(xu,xa), inference(resolution, [status(thm)], [c51,d29])). % 18.43/2.98 cnf(d31, plain, ~aElement0(X0) | sdtmndtasgtdt0(xb,xR,sK64(xb,X0)) | ~sdtmndtasgtdt0(xu,xR,X0) | ~iLess0(xu,xa), inference(resolution, [status(thm)], [c58,d30])). % 18.43/2.98 cnf(d32, plain, ~aElement0(X0) | sdtmndtasgtdt0(xb,xR,sK64(xb,X0)) | ~sdtmndtasgtdt0(xu,xR,X0), inference(resolution, [status(thm)], [d25,d31])). % 18.43/2.98 cnf(d33, plain, ~aElement0(X0) | ~aElement0(xu) | ~aElement0(xb) | sdtmndtasgtdt0(X0,xR,sK64(xb,X0)) | ~sdtmndtasgtdt0(xu,xR,X0) | ~iLess0(xu,xa), inference(resolution, [status(thm)], [c55,c60])). % 18.43/2.98 cnf(d34, plain, ~aElement0(X0) | ~aElement0(xu) | sdtmndtasgtdt0(X0,xR,sK64(xb,X0)) | ~sdtmndtasgtdt0(xu,xR,X0) | ~iLess0(xu,xa), inference(resolution, [status(thm)], [c51,d33])). % 18.43/2.98 cnf(d35, plain, ~aElement0(X0) | sdtmndtasgtdt0(X0,xR,sK64(xb,X0)) | ~sdtmndtasgtdt0(xu,xR,X0) | ~iLess0(xu,xa), inference(resolution, [status(thm)], [c58,d34])). % 18.43/2.98 cnf(d36, plain, ~aElement0(X0) | sdtmndtasgtdt0(X0,xR,sK64(xb,X0)) | ~sdtmndtasgtdt0(xu,xR,X0), inference(resolution, [status(thm)], [d25,d35])). % 18.43/2.98 cnf(d37, plain, ~aElement0(xd) | ~sdtmndtasgtdt0(xu,xR,xd) | ~aElement0(sK64(xb,xd)) | ~sdtmndtasgtdt0(xb,xR,sK64(xb,xd)), inference(resolution, [status(thm)], [d36,c68])). % 18.43/2.98 cnf(d38, plain, ~aElement0(sK64(xb,xd)) | ~sdtmndtasgtdt0(xb,xR,sK64(xb,xd)) | ~sdtmndtasgtdt0(xu,xR,xd), inference(resolution, [status(thm)], [d10,d37])). % 18.43/2.98 cnf(d39, plain, ~aElement0(sK64(xb,xd)) | ~sdtmndtasgtdt0(xb,xR,sK64(xb,xd)), inference(resolution, [status(thm)], [d11,d38])). % 18.43/2.98 cnf(d40, plain, ~aElement0(sK64(xb,xd)) | ~aElement0(xd) | ~sdtmndtasgtdt0(xu,xR,xd), inference(resolution, [status(thm)], [d39,d32])). % 18.43/2.98 cnf(d41, plain, ~aElement0(sK64(xb,xd)) | ~sdtmndtasgtdt0(xu,xR,xd), inference(resolution, [status(thm)], [d10,d40])). % 18.43/2.98 cnf(d42, plain, ~aElement0(sK64(xb,xd)), inference(resolution, [status(thm)], [d11,d41])). % 18.43/2.98 cnf(d43, plain, $false, inference(resolution, [status(thm)], [d42,d28])). % 18.43/2.98 % SZS output end CNFRefutation for theBenchmark.p %------------------------------------------------------------------------------