%------------------------------------------------------------------------------ % File : LisaST---0.9 % Problem : COM019+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 : n005.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 62.68s 13.38s % Output : CNFRefutation 62.68s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.02 % Problem : COM019+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 % 0.09/5.36 % Computer : n005.cluster.edu % 0.09/5.36 % Model : x86_64 x86_64 % 0.09/5.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.09/5.36 % Memory : 8046.5625MB % 0.09/5.36 % OS : Linux 6.8.0-71-generic % 0.09/5.36 % CPULimit : 300 % 0.09/5.36 % WCLimit : 300 % 0.09/5.36 % DateTime : Sat Sep 26 23:22:53 UTC 2026 % 0.09/5.37 % CPUTime : % 0.09/5.37 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p % 62.68/13.38 % SZS status Theorem for theBenchmark.p % 62.68/13.38 % SZS output start CNFRefutation for theBenchmark.p % 62.68/13.38 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))))))))). % 62.68/13.38 fof(mTCRDef, definition, ! [X0] : ! [X1] : ! [X2] : (((aElement0(X0) & (aRewritingSystem0(X1) & aElement0(X2))) => (sdtmndtasgtdt0(X0,X1,X2) <=> (X0 = X2 | sdtmndtplgtdt0(X0,X1,X2)))))). % 62.68/13.38 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))))). % 62.68/13.38 fof(mTermin, definition, ! [X0] : ((aRewritingSystem0(X0) => (isTerminating0(X0) <=> ! [X1] : ! [X2] : (((aElement0(X1) & aElement0(X2)) => (sdtmndtplgtdt0(X1,X0,X2) => iLess0(X2,X1)))))))). % 62.68/13.38 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)))))))). % 62.68/13.38 fof(m__656, hypothesis, aRewritingSystem0(xR)). % 62.68/13.38 fof(m__656_01, hypothesis, (isLocallyConfluent0(xR) & isTerminating0(xR))). % 62.68/13.38 fof(m__731, hypothesis, (aElement0(xa) & (aElement0(xb) & aElement0(xc)))). % 62.68/13.38 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)))))))). % 62.68/13.38 fof(m__755, hypothesis, (aElement0(xu) & (aReductOfIn0(xu,xa,xR) & sdtmndtasgtdt0(xu,xR,xb)))). % 62.68/13.38 fof(m__799, hypothesis, (aElement0(xw) & (sdtmndtasgtdt0(xu,xR,xw) & sdtmndtasgtdt0(xv,xR,xw)))). % 62.68/13.38 fof(m__818, hypothesis, aNormalFormOfIn0(xd,xw,xR)). % 62.68/13.38 fof(m__, conjecture, sdtmndtasgtdt0(xb,xR,xd)). % 62.68/13.38 fof(negated_conjecture, negated_conjecture, ~sdtmndtasgtdt0(xb,xR,xd), inference(negate_conjecture, [status(cth)], [m__])). % 62.68/13.38 cnf(c1, plain, ~aRewritingSystem0(X0) | ~aElement0(X1) | ~aElement0(X2) | X3(X2,X0,X1), inference(clausification, [status(esa)], [mTCDef])). % 62.68/13.38 cnf(c4, plain, ~X0(X1,X2,X3) | ~sdtmndtplgtdt0(X1,X2,X3) | aReductOfIn0(sK7(X1,X2,X3),X1,X2) | aReductOfIn0(X3,X1,X2), inference(clausification, [status(esa)], [mTCDef])). % 62.68/13.38 cnf(c5, plain, ~X0(X1,X2,X3) | sdtmndtplgtdt0(X1,X2,X3) | ~aReductOfIn0(X3,X1,X2), inference(clausification, [status(esa)], [mTCDef])). % 62.68/13.38 cnf(c8, plain, ~sdtmndtasgtdt0(X0,X1,X2) | ~aRewritingSystem0(X1) | ~aElement0(X2) | X2 = X0 | ~aElement0(X0) | sdtmndtplgtdt0(X0,X1,X2), inference(clausification, [status(esa)], [mTCRDef])). % 62.68/13.38 cnf(c11, plain, ~aRewritingSystem0(X0) | sdtmndtasgtdt0(X1,X0,X2) | ~sdtmndtasgtdt0(X1,X0,X3) | ~aElement0(X3) | ~sdtmndtasgtdt0(X3,X0,X2) | ~aElement0(X1) | ~aElement0(X2), inference(clausification, [status(esa)], [mTCRTrans])). % 62.68/13.38 cnf(c32, plain, ~aRewritingSystem0(X0) | X1(X0), inference(clausification, [status(esa)], [mTermin])). % 62.68/13.38 cnf(c33, plain, iLess0(X0,X1) | ~sdtmndtplgtdt0(X1,X2,X0) | ~isTerminating0(X2) | ~X3(X2) | ~aElement0(X1) | ~aElement0(X0), inference(clausification, [status(esa)], [mTermin])). % 62.68/13.38 cnf(c38, plain, ~aRewritingSystem0(X0) | ~aElement0(X1) | ~aNormalFormOfIn0(X2,X1,X0) | aElement0(X2), inference(clausification, [status(esa)], [mNFRDef])). % 62.68/13.38 cnf(c39, plain, ~aRewritingSystem0(X0) | ~aElement0(X1) | ~aNormalFormOfIn0(X2,X1,X0) | ~aReductOfIn0(X3,X2,X0), inference(clausification, [status(esa)], [mNFRDef])). % 62.68/13.38 cnf(c40, plain, ~aRewritingSystem0(X0) | ~aElement0(X1) | ~aNormalFormOfIn0(X2,X1,X0) | sdtmndtasgtdt0(X1,X0,X2), inference(clausification, [status(esa)], [mNFRDef])). % 62.68/13.38 cnf(c43, plain, aRewritingSystem0(xR), inference(clausification, [status(esa)], [m__656])). % 62.68/13.38 cnf(c45, plain, isTerminating0(xR), inference(clausification, [status(esa)], [m__656_01])). % 62.68/13.38 cnf(c46, plain, aElement0(xa), inference(clausification, [status(esa)], [m__731])). % 62.68/13.38 cnf(c48, plain, aElement0(xb), inference(clausification, [status(esa)], [m__731])). % 62.68/13.38 cnf(c49, plain, ~aElement0(X0) | ~sdtmndtasgtdt0(X0,xR,X1) | ~aElement0(X1) | ~sdtmndtasgtdt0(X0,xR,X2) | ~iLess0(X0,xa) | aElement0(sK57(X2,X1)) | ~aElement0(X2), inference(clausification, [status(esa)], [m__715])). % 62.68/13.38 cnf(c50, plain, ~aElement0(X0) | ~aElement0(X1) | ~aElement0(X2) | ~sdtmndtasgtdt0(X0,xR,X1) | ~iLess0(X0,xa) | sdtmndtasgtdt0(X2,xR,sK57(X1,X2)) | ~sdtmndtasgtdt0(X0,xR,X2), inference(clausification, [status(esa)], [m__715])). % 62.68/13.38 cnf(c51, plain, ~aElement0(X0) | ~sdtmndtasgtdt0(X0,xR,X1) | ~aElement0(X2) | ~aElement0(X1) | sdtmndtasgtdt0(X2,xR,sK57(X2,X1)) | ~sdtmndtasgtdt0(X0,xR,X2) | ~iLess0(X0,xa), inference(clausification, [status(esa)], [m__715])). % 62.68/13.38 cnf(c54, plain, aElement0(xu), inference(clausification, [status(esa)], [m__755])). % 62.68/13.38 cnf(c55, plain, sdtmndtasgtdt0(xu,xR,xb), inference(clausification, [status(esa)], [m__755])). % 62.68/13.38 cnf(c56, plain, aReductOfIn0(xu,xa,xR), inference(clausification, [status(esa)], [m__755])). % 62.68/13.38 cnf(c60, plain, aElement0(xw), inference(clausification, [status(esa)], [m__799])). % 62.68/13.38 cnf(c62, plain, sdtmndtasgtdt0(xu,xR,xw), inference(clausification, [status(esa)], [m__799])). % 62.68/13.38 cnf(c63, plain, aNormalFormOfIn0(xd,xw,xR), inference(clausification, [status(esa)], [m__818])). % 62.68/13.38 cnf(c64, plain, ~sdtmndtasgtdt0(xb,xR,xd), inference(clausification, [status(esa)], [negated_conjecture])). % 62.68/13.38 cnf(d0, plain, ~aElement0(X0) | ~aElement0(xb) | ~aElement0(xu) | sdtmndtasgtdt0(xb,xR,sK57(X0,xb)) | ~sdtmndtasgtdt0(xu,xR,X0) | ~iLess0(xu,xa), inference(resolution, [status(thm)], [c50,c55])). % 62.68/13.38 cnf(d1, plain, ~aElement0(X0) | ~aElement0(xu) | sdtmndtasgtdt0(xb,xR,sK57(X0,xb)) | ~sdtmndtasgtdt0(xu,xR,X0) | ~iLess0(xu,xa), inference(resolution, [status(thm)], [c48,d0])). % 62.68/13.38 cnf(d2, plain, ~aElement0(X0) | sdtmndtasgtdt0(xb,xR,sK57(X0,xb)) | ~sdtmndtasgtdt0(xu,xR,X0) | ~iLess0(xu,xa), inference(resolution, [status(thm)], [c54,d1])). % 62.68/13.38 cnf(d3, plain, ~aReductOfIn0(X0,X1,X2) | sdtmndtplgtdt0(X1,X2,X0) | ~aElement0(X1) | ~aElement0(X0) | ~aRewritingSystem0(X2), inference(resolution, [status(thm)], [c5,c1])). % 62.68/13.38 cnf(d4, plain, ~aElement0(xa) | ~aElement0(xu) | ~aRewritingSystem0(xR) | sdtmndtplgtdt0(xa,xR,xu), inference(resolution, [status(thm)], [d3,c56])). % 62.68/13.38 cnf(d5, plain, ~aElement0(xa) | ~aElement0(xu) | sdtmndtplgtdt0(xa,xR,xu), inference(resolution, [status(thm)], [c43,d4])). % 62.68/13.38 cnf(d6, plain, ~aElement0(xu) | sdtmndtplgtdt0(xa,xR,xu), inference(resolution, [status(thm)], [c46,d5])). % 62.68/13.38 cnf(d7, plain, sdtmndtplgtdt0(xa,xR,xu), inference(resolution, [status(thm)], [c54,d6])). % 62.68/13.38 cnf(d8, plain, ~aElement0(xu) | ~aElement0(xa) | ~'Ts40'(xR) | ~isTerminating0(xR) | iLess0(xu,xa), inference(resolution, [status(thm)], [c33,d7])). % 62.68/13.38 cnf(d9, plain, ~aElement0(xa) | ~aElement0(xu) | ~'Ts40'(xR) | iLess0(xu,xa), inference(resolution, [status(thm)], [c45,d8])). % 62.68/13.38 cnf(d10, plain, ~aElement0(xu) | ~'Ts40'(xR) | iLess0(xu,xa), inference(resolution, [status(thm)], [c46,d9])). % 62.68/13.38 cnf(d11, plain, ~'Ts40'(xR) | iLess0(xu,xa), inference(resolution, [status(thm)], [c54,d10])). % 62.68/13.38 cnf(d12, plain, 'Ts40'(xR), inference(resolution, [status(thm)], [c32,c43])). % 62.68/13.38 cnf(d13, plain, iLess0(xu,xa), inference(resolution, [status(thm)], [d12,d11])). % 62.68/13.38 cnf(d14, plain, ~aElement0(X0) | sdtmndtasgtdt0(xb,xR,sK57(X0,xb)) | ~sdtmndtasgtdt0(xu,xR,X0), inference(resolution, [status(thm)], [d13,d2])). % 62.68/13.38 cnf(d15, plain, ~aReductOfIn0(X0,xd,xR) | ~aElement0(xw) | ~aRewritingSystem0(xR), inference(resolution, [status(thm)], [c39,c63])). % 62.68/13.38 cnf(d16, plain, ~aReductOfIn0(X0,xd,xR) | ~aElement0(xw), inference(resolution, [status(thm)], [c43,d15])). % 62.68/13.38 cnf(d17, plain, ~aReductOfIn0(X0,xd,xR), inference(resolution, [status(thm)], [c60,d16])). % 62.68/13.38 cnf(d18, plain, aReductOfIn0(X0,xd,xR) | ~'Ts3'(xd,xR,X0) | ~sdtmndtplgtdt0(xd,xR,X0), inference(resolution, [status(thm)], [d17,c4])). % 62.68/13.38 cnf(d19, plain, ~'Ts3'(xd,xR,X0) | ~sdtmndtplgtdt0(xd,xR,X0), inference(resolution, [status(thm)], [d17,d18])). % 62.68/13.38 cnf(d20, plain, ~aElement0(X0) | ~aElement0(xb) | ~aElement0(xu) | sdtmndtasgtdt0(X0,xR,sK57(X0,xb)) | ~sdtmndtasgtdt0(xu,xR,X0) | ~iLess0(xu,xa), inference(resolution, [status(thm)], [c51,c55])). % 62.68/13.38 cnf(d21, plain, ~aElement0(X0) | ~aElement0(xu) | sdtmndtasgtdt0(X0,xR,sK57(X0,xb)) | ~sdtmndtasgtdt0(xu,xR,X0) | ~iLess0(xu,xa), inference(resolution, [status(thm)], [c48,d20])). % 62.68/13.38 cnf(d22, plain, ~aElement0(X0) | sdtmndtasgtdt0(X0,xR,sK57(X0,xb)) | ~sdtmndtasgtdt0(xu,xR,X0) | ~iLess0(xu,xa), inference(resolution, [status(thm)], [c54,d21])). % 62.68/13.38 cnf(d23, plain, ~aElement0(X0) | sdtmndtasgtdt0(X0,xR,sK57(X0,xb)) | ~sdtmndtasgtdt0(xu,xR,X0), inference(resolution, [status(thm)], [d13,d22])). % 62.68/13.38 cnf(d24, plain, ~aElement0(X0) | ~sdtmndtasgtdt0(xu,xR,X0) | sK57(X0,xb) = X0 | ~aElement0(sK57(X0,xb)) | ~aElement0(X0) | ~aRewritingSystem0(xR) | sdtmndtplgtdt0(X0,xR,sK57(X0,xb)), inference(resolution, [status(thm)], [d23,c8])). % 62.68/13.38 cnf(d25, plain, sK57(X0,xb) = X0 | ~aElement0(X0) | ~aElement0(sK57(X0,xb)) | sdtmndtplgtdt0(X0,xR,sK57(X0,xb)) | ~sdtmndtasgtdt0(xu,xR,X0), inference(resolution, [status(thm)], [c43,d24])). % 62.68/13.38 cnf(d26, plain, sK57(xd,xb) = xd | ~aElement0(xd) | ~aElement0(sK57(xd,xb)) | ~sdtmndtasgtdt0(xu,xR,xd) | ~'Ts3'(xd,xR,sK57(xd,xb)), inference(resolution, [status(thm)], [d25,d19])). % 62.68/13.38 cnf(d27, plain, aElement0(xd) | ~aElement0(xw) | ~aRewritingSystem0(xR), inference(resolution, [status(thm)], [c38,c63])). % 62.68/13.38 cnf(d28, plain, ~aElement0(xw) | aElement0(xd), inference(resolution, [status(thm)], [c43,d27])). % 62.68/13.38 cnf(d29, plain, aElement0(xd), inference(resolution, [status(thm)], [c60,d28])). % 62.68/13.38 cnf(d30, plain, sK57(xd,xb) = xd | ~aElement0(sK57(xd,xb)) | ~'Ts3'(xd,xR,sK57(xd,xb)) | ~sdtmndtasgtdt0(xu,xR,xd), inference(resolution, [status(thm)], [d29,d26])). % 62.68/13.38 cnf(d31, plain, ~aElement0(xw) | ~aRewritingSystem0(xR) | sdtmndtasgtdt0(xw,xR,xd), inference(resolution, [status(thm)], [c40,c63])). % 62.68/13.38 cnf(d32, plain, ~aElement0(xw) | sdtmndtasgtdt0(xw,xR,xd), inference(resolution, [status(thm)], [c43,d31])). % 62.68/13.38 cnf(d33, plain, sdtmndtasgtdt0(xw,xR,xd), inference(resolution, [status(thm)], [c60,d32])). % 62.68/13.38 cnf(d34, plain, ~aElement0(xw) | ~aElement0(X0) | ~aElement0(xu) | ~aRewritingSystem0(xR) | ~sdtmndtasgtdt0(xw,xR,X0) | sdtmndtasgtdt0(xu,xR,X0), inference(resolution, [status(thm)], [c11,c62])). % 62.68/13.38 cnf(d35, plain, ~aElement0(X0) | ~aElement0(xu) | ~aElement0(xw) | sdtmndtasgtdt0(xu,xR,X0) | ~sdtmndtasgtdt0(xw,xR,X0), inference(resolution, [status(thm)], [c43,d34])). % 62.68/13.38 cnf(d36, plain, ~aElement0(X0) | ~aElement0(xw) | sdtmndtasgtdt0(xu,xR,X0) | ~sdtmndtasgtdt0(xw,xR,X0), inference(resolution, [status(thm)], [c54,d35])). % 62.68/13.38 cnf(d37, plain, ~aElement0(X0) | sdtmndtasgtdt0(xu,xR,X0) | ~sdtmndtasgtdt0(xw,xR,X0), inference(resolution, [status(thm)], [c60,d36])). % 62.68/13.38 cnf(d38, plain, ~aElement0(xd) | sdtmndtasgtdt0(xu,xR,xd), inference(resolution, [status(thm)], [d37,d33])). % 62.68/13.38 cnf(d39, plain, sdtmndtasgtdt0(xu,xR,xd), inference(resolution, [status(thm)], [d29,d38])). % 62.68/13.38 cnf(d40, plain, sK57(xd,xb) = xd | ~aElement0(sK57(xd,xb)) | ~'Ts3'(xd,xR,sK57(xd,xb)), inference(resolution, [status(thm)], [d39,d30])). % 62.68/13.38 cnf(d41, plain, ~aElement0(X0) | ~aElement0(xb) | ~aElement0(xu) | aElement0(sK57(X0,xb)) | ~sdtmndtasgtdt0(xu,xR,X0) | ~iLess0(xu,xa), inference(resolution, [status(thm)], [c49,c55])). % 62.68/13.38 cnf(d42, plain, ~aElement0(X0) | aElement0(sK57(X0,xb)) | ~aElement0(xu) | ~sdtmndtasgtdt0(xu,xR,X0) | ~iLess0(xu,xa), inference(resolution, [status(thm)], [c48,d41])). % 62.68/13.38 cnf(d43, plain, ~aElement0(X0) | aElement0(sK57(X0,xb)) | ~sdtmndtasgtdt0(xu,xR,X0) | ~iLess0(xu,xa), inference(resolution, [status(thm)], [c54,d42])). % 62.68/13.38 cnf(d44, plain, ~aElement0(X0) | aElement0(sK57(X0,xb)) | ~sdtmndtasgtdt0(xu,xR,X0), inference(resolution, [status(thm)], [d13,d43])). % 62.68/13.38 cnf(d45, plain, ~aElement0(xd) | aElement0(sK57(xd,xb)), inference(resolution, [status(thm)], [d44,d39])). % 62.68/13.38 cnf(d46, plain, aElement0(sK57(xd,xb)), inference(resolution, [status(thm)], [d29,d45])). % 62.68/13.38 cnf(d47, plain, sK57(xd,xb) = xd | ~'Ts3'(xd,xR,sK57(xd,xb)), inference(resolution, [status(thm)], [d46,d40])). % 62.68/13.38 cnf(d48, plain, sK57(xd,xb) = xd | ~aElement0(xd) | ~aElement0(sK57(xd,xb)) | ~aRewritingSystem0(xR), inference(resolution, [status(thm)], [d47,c1])). % 62.68/13.38 cnf(d49, plain, sK57(xd,xb) = xd | ~aElement0(sK57(xd,xb)) | ~aElement0(xd), inference(resolution, [status(thm)], [c43,d48])). % 62.68/13.38 cnf(d50, plain, sK57(xd,xb) = xd | ~aElement0(sK57(xd,xb)), inference(resolution, [status(thm)], [d29,d49])). % 62.68/13.38 cnf(d51, plain, sK57(xd,xb) = xd, inference(resolution, [status(thm)], [d46,d50])). % 62.68/13.38 cnf(d52, plain, sdtmndtasgtdt0(xb,xR,xd) | ~aElement0(xd) | ~sdtmndtasgtdt0(xu,xR,xd), inference(superposition, [status(thm)], [d51,d14])). % 62.68/13.38 cnf(d53, plain, ~aElement0(xd) | ~sdtmndtasgtdt0(xu,xR,xd), inference(resolution, [status(thm)], [c64,d52])). % 62.68/13.38 cnf(d54, plain, ~sdtmndtasgtdt0(xu,xR,xd), inference(resolution, [status(thm)], [d29,d53])). % 62.68/13.38 cnf(d55, plain, $false, inference(resolution, [status(thm)], [d39,d54])). % 62.68/13.38 % SZS output end CNFRefutation for theBenchmark.p %------------------------------------------------------------------------------