%------------------------------------------------------------------------------ % File : LisaST---0.9 % Problem : COM017+4 : 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 21.77s 3.40s % Output : CNFRefutation 21.77s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.05 % Problem : COM017+4 : TPTP v9.3.1. Released v4.0.0. % 0.00/0.06 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p % 0.18/0.43 % Computer : n020.cluster.edu % 0.18/0.43 % Model : x86_64 x86_64 % 0.18/0.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.18/0.43 % Memory : 8046.5625MB % 0.18/0.43 % OS : Linux 6.8.0-71-generic % 0.18/0.43 % CPULimit : 300 % 0.18/0.43 % WCLimit : 300 % 0.18/0.43 % DateTime : Sat Sep 26 23:22:49 UTC 2026 % 0.18/0.44 % CPUTime : % 0.18/0.44 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p % 21.77/3.40 % SZS status Theorem for theBenchmark.p % 21.77/3.40 % SZS output start CNFRefutation for theBenchmark.p % 21.77/3.40 fof(mWCRDef, definition, ! [X0] : ((aRewritingSystem0(X0) => (isLocallyConfluent0(X0) <=> ! [X1] : ! [X2] : ! [X3] : (((aElement0(X1) & (aElement0(X2) & (aElement0(X3) & (aReductOfIn0(X2,X1,X0) & aReductOfIn0(X3,X1,X0))))) => ? [X4] : ((aElement0(X4) & (sdtmndtasgtdt0(X2,X0,X4) & sdtmndtasgtdt0(X3,X0,X4)))))))))). % 21.77/3.40 fof(m__656, hypothesis, aRewritingSystem0(xR)). % 21.77/3.40 fof(m__656_01, hypothesis, (! [X0] : ! [X1] : ! [X2] : (((aElement0(X0) & (aElement0(X1) & (aElement0(X2) & (aReductOfIn0(X1,X0,xR) & aReductOfIn0(X2,X0,xR))))) => ? [X3] : ((aElement0(X3) & ((X1 = X3 | ((aReductOfIn0(X3,X1,xR) | ? [X4] : ((aElement0(X4) & (aReductOfIn0(X4,X1,xR) & sdtmndtplgtdt0(X4,xR,X3))))) & sdtmndtplgtdt0(X1,xR,X3))) & (sdtmndtasgtdt0(X1,xR,X3) & ((X2 = X3 | ((aReductOfIn0(X3,X2,xR) | ? [X4] : ((aElement0(X4) & (aReductOfIn0(X4,X2,xR) & sdtmndtplgtdt0(X4,xR,X3))))) & sdtmndtplgtdt0(X2,xR,X3))) & sdtmndtasgtdt0(X2,xR,X3)))))))) & (isLocallyConfluent0(xR) & (! [X0] : ! [X1] : (((aElement0(X0) & aElement0(X1)) => ((aReductOfIn0(X1,X0,xR) | (? [X2] : ((aElement0(X2) & (aReductOfIn0(X2,X0,xR) & sdtmndtplgtdt0(X2,xR,X1)))) | sdtmndtplgtdt0(X0,xR,X1))) => iLess0(X1,X0)))) & isTerminating0(xR))))). % 21.77/3.40 fof(m__731, hypothesis, (aElement0(xa) & (aElement0(xb) & aElement0(xc)))). % 21.77/3.40 fof(m__755, hypothesis, (aElement0(xu) & (aReductOfIn0(xu,xa,xR) & ((xu = xb | ((aReductOfIn0(xb,xu,xR) | ? [X0] : ((aElement0(X0) & (aReductOfIn0(X0,xu,xR) & sdtmndtplgtdt0(X0,xR,xb))))) & sdtmndtplgtdt0(xu,xR,xb))) & sdtmndtasgtdt0(xu,xR,xb))))). % 21.77/3.40 fof(m__779, hypothesis, (aElement0(xv) & (aReductOfIn0(xv,xa,xR) & ((xv = xc | ((aReductOfIn0(xc,xv,xR) | ? [X0] : ((aElement0(X0) & (aReductOfIn0(X0,xv,xR) & sdtmndtplgtdt0(X0,xR,xc))))) & sdtmndtplgtdt0(xv,xR,xc))) & sdtmndtasgtdt0(xv,xR,xc))))). % 21.77/3.40 fof(m__, conjecture, ? [X0] : ((aElement0(X0) & ((xu = X0 | (aReductOfIn0(X0,xu,xR) | (? [X1] : ((aElement0(X1) & (aReductOfIn0(X1,xu,xR) & sdtmndtplgtdt0(X1,xR,X0)))) | (sdtmndtplgtdt0(xu,xR,X0) | sdtmndtasgtdt0(xu,xR,X0))))) & (xv = X0 | (aReductOfIn0(X0,xv,xR) | (? [X1] : ((aElement0(X1) & (aReductOfIn0(X1,xv,xR) & sdtmndtplgtdt0(X1,xR,X0)))) | (sdtmndtplgtdt0(xv,xR,X0) | sdtmndtasgtdt0(xv,xR,X0))))))))). % 21.77/3.40 fof(negated_conjecture, negated_conjecture, ~? [X0] : ((aElement0(X0) & ((xu = X0 | (aReductOfIn0(X0,xu,xR) | (? [X1] : ((aElement0(X1) & (aReductOfIn0(X1,xu,xR) & sdtmndtplgtdt0(X1,xR,X0)))) | (sdtmndtplgtdt0(xu,xR,X0) | sdtmndtasgtdt0(xu,xR,X0))))) & (xv = X0 | (aReductOfIn0(X0,xv,xR) | (? [X1] : ((aElement0(X1) & (aReductOfIn0(X1,xv,xR) & sdtmndtplgtdt0(X1,xR,X0)))) | (sdtmndtplgtdt0(xv,xR,X0) | sdtmndtasgtdt0(xv,xR,X0)))))))), inference(negate_conjecture, [status(cth)], [m__])). % 21.77/3.40 cnf(c24, plain, ~aRewritingSystem0(X0) | ~isLocallyConfluent0(X0) | X1(X0), inference(clausification, [status(esa)], [mWCRDef])). % 21.77/3.40 cnf(c26, plain, ~aElement0(X0) | ~aReductOfIn0(X1,X0,X2) | aElement0(sK42(X2,X3,X1)) | ~aElement0(X1) | ~aElement0(X3) | ~aReductOfIn0(X3,X0,X2) | ~X4(X2), inference(clausification, [status(esa)], [mWCRDef])). % 21.77/3.40 cnf(c27, plain, ~aElement0(X0) | ~aReductOfIn0(X1,X0,X2) | sdtmndtasgtdt0(X3,X2,sK42(X2,X3,X1)) | ~aElement0(X1) | ~aElement0(X3) | ~aReductOfIn0(X3,X0,X2) | ~X4(X2), inference(clausification, [status(esa)], [mWCRDef])). % 21.77/3.40 cnf(c28, plain, ~aElement0(X0) | sdtmndtasgtdt0(X1,X2,sK42(X2,X3,X1)) | ~aReductOfIn0(X1,X0,X2) | ~aElement0(X1) | ~aElement0(X3) | ~aReductOfIn0(X3,X0,X2) | ~X4(X2), inference(clausification, [status(esa)], [mWCRDef])). % 21.77/3.40 cnf(c47, plain, aRewritingSystem0(xR), inference(clausification, [status(esa)], [m__656])). % 21.77/3.40 cnf(c49, plain, isLocallyConfluent0(xR), inference(clausification, [status(esa)], [m__656_01])). % 21.77/3.40 cnf(c65, plain, aElement0(xa), inference(clausification, [status(esa)], [m__731])). % 21.77/3.40 cnf(c98, plain, aElement0(xu), inference(clausification, [status(esa)], [m__755])). % 21.77/3.40 cnf(c99, plain, aReductOfIn0(xu,xa,xR), inference(clausification, [status(esa)], [m__755])). % 21.77/3.40 cnf(c105, plain, aElement0(xv), inference(clausification, [status(esa)], [m__779])). % 21.77/3.40 cnf(c106, plain, aReductOfIn0(xv,xa,xR), inference(clausification, [status(esa)], [m__779])). % 21.77/3.40 cnf(c112, plain, ~aElement0(X0) | ~X1(X0) | ~X2(X0), inference(clausification, [status(esa)], [negated_conjecture])). % 21.77/3.40 cnf(c117, plain, X0(X1) | ~sdtmndtasgtdt0(xu,xR,X1), inference(clausification, [status(esa)], [negated_conjecture])). % 21.77/3.40 cnf(c122, plain, X0(X1) | ~sdtmndtasgtdt0(xv,xR,X1), inference(clausification, [status(esa)], [negated_conjecture])). % 21.77/3.40 cnf(d0, plain, ~aReductOfIn0(X0,xa,xR) | ~aElement0(X0) | ~aElement0(xa) | ~aElement0(xu) | aElement0(sK42(xR,xu,X0)) | ~'Ts37'(xR), inference(resolution, [status(thm)], [c99,c26])). % 21.77/3.40 cnf(d1, plain, ~aReductOfIn0(X0,xa,xR) | ~aElement0(X0) | aElement0(sK42(xR,xu,X0)) | ~aElement0(xu) | ~'Ts37'(xR), inference(resolution, [status(thm)], [c65,d0])). % 21.77/3.40 cnf(d2, plain, ~aReductOfIn0(X0,xa,xR) | ~aElement0(X0) | aElement0(sK42(xR,xu,X0)) | ~'Ts37'(xR), inference(resolution, [status(thm)], [c98,d1])). % 21.77/3.40 cnf(d3, plain, ~aRewritingSystem0(xR) | 'Ts37'(xR), inference(resolution, [status(thm)], [c24,c49])). % 21.77/3.40 cnf(d4, plain, 'Ts37'(xR), inference(resolution, [status(thm)], [c47,d3])). % 21.77/3.40 cnf(d5, plain, ~aReductOfIn0(X0,xa,xR) | ~aElement0(X0) | aElement0(sK42(xR,xu,X0)), inference(resolution, [status(thm)], [d4,d2])). % 21.77/3.40 cnf(d6, plain, ~aReductOfIn0(X0,xa,xR) | ~aElement0(X0) | ~aElement0(xa) | ~aElement0(xu) | sdtmndtasgtdt0(X0,xR,sK42(xR,xu,X0)) | ~'Ts37'(xR), inference(resolution, [status(thm)], [c99,c28])). % 21.77/3.40 cnf(d7, plain, ~aReductOfIn0(X0,xa,xR) | ~aElement0(X0) | ~aElement0(xu) | sdtmndtasgtdt0(X0,xR,sK42(xR,xu,X0)) | ~'Ts37'(xR), inference(resolution, [status(thm)], [c65,d6])). % 21.77/3.40 cnf(d8, plain, ~aReductOfIn0(X0,xa,xR) | ~aElement0(X0) | sdtmndtasgtdt0(X0,xR,sK42(xR,xu,X0)) | ~'Ts37'(xR), inference(resolution, [status(thm)], [c98,d7])). % 21.77/3.40 cnf(d9, plain, ~aReductOfIn0(X0,xa,xR) | ~aElement0(X0) | sdtmndtasgtdt0(X0,xR,sK42(xR,xu,X0)), inference(resolution, [status(thm)], [d4,d8])). % 21.77/3.40 cnf(d10, plain, ~aReductOfIn0(xv,xa,xR) | ~aElement0(xv) | 'Ts87'(sK42(xR,xu,xv)), inference(resolution, [status(thm)], [d9,c122])). % 21.77/3.40 cnf(d11, plain, ~aReductOfIn0(xv,xa,xR) | 'Ts87'(sK42(xR,xu,xv)), inference(resolution, [status(thm)], [c105,d10])). % 21.77/3.40 cnf(d12, plain, 'Ts87'(sK42(xR,xu,xv)), inference(resolution, [status(thm)], [c106,d11])). % 21.77/3.40 cnf(d13, plain, ~aReductOfIn0(X0,xa,xR) | ~aElement0(X0) | ~aElement0(xa) | ~aElement0(xu) | sdtmndtasgtdt0(xu,xR,sK42(xR,xu,X0)) | ~'Ts37'(xR), inference(resolution, [status(thm)], [c99,c27])). % 21.77/3.40 cnf(d14, plain, ~aReductOfIn0(X0,xa,xR) | ~aElement0(X0) | ~aElement0(xu) | sdtmndtasgtdt0(xu,xR,sK42(xR,xu,X0)) | ~'Ts37'(xR), inference(resolution, [status(thm)], [c65,d13])). % 21.77/3.40 cnf(d15, plain, ~aReductOfIn0(X0,xa,xR) | ~aElement0(X0) | sdtmndtasgtdt0(xu,xR,sK42(xR,xu,X0)) | ~'Ts37'(xR), inference(resolution, [status(thm)], [c98,d14])). % 21.77/3.40 cnf(d16, plain, ~aReductOfIn0(X0,xa,xR) | ~aElement0(X0) | sdtmndtasgtdt0(xu,xR,sK42(xR,xu,X0)), inference(resolution, [status(thm)], [d4,d15])). % 21.77/3.40 cnf(d17, plain, ~aReductOfIn0(X0,xa,xR) | ~aElement0(X0) | 'Ts86'(sK42(xR,xu,X0)), inference(resolution, [status(thm)], [d16,c117])). % 21.77/3.40 cnf(d18, plain, ~aReductOfIn0(X0,xa,xR) | ~aElement0(X0) | ~aElement0(sK42(xR,xu,X0)) | ~'Ts87'(sK42(xR,xu,X0)), inference(resolution, [status(thm)], [d17,c112])). % 21.77/3.40 cnf(d19, plain, ~aReductOfIn0(xv,xa,xR) | ~aElement0(xv) | ~aElement0(sK42(xR,xu,xv)), inference(resolution, [status(thm)], [d18,d12])). % 21.77/3.40 cnf(d20, plain, ~aReductOfIn0(xv,xa,xR) | ~aElement0(sK42(xR,xu,xv)), inference(resolution, [status(thm)], [c105,d19])). % 21.77/3.40 cnf(d21, plain, ~aElement0(sK42(xR,xu,xv)), inference(resolution, [status(thm)], [c106,d20])). % 21.77/3.40 cnf(d22, plain, ~aReductOfIn0(xv,xa,xR) | ~aElement0(xv), inference(resolution, [status(thm)], [d21,d5])). % 21.77/3.40 cnf(d23, plain, ~aReductOfIn0(xv,xa,xR), inference(resolution, [status(thm)], [c105,d22])). % 21.77/3.40 cnf(d24, plain, $false, inference(resolution, [status(thm)], [c106,d23])). % 21.77/3.40 % SZS output end CNFRefutation for theBenchmark.p %------------------------------------------------------------------------------