%------------------------------------------------------------------------------ % File : LisaST---0.9 % Problem : COM017+1 : TPTP v9.3.1. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p % Computer : n026.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 14.10s 2.37s % Output : CNFRefutation 14.10s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.03 % Problem : COM017+1 : TPTP v9.3.1. Released v4.0.0. % 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p % 0.10/0.36 % Computer : n026.cluster.edu % 0.10/0.36 % Model : x86_64 x86_64 % 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.10/0.36 % Memory : 8046.5625MB % 0.10/0.36 % OS : Linux 6.8.0-71-generic % 0.10/0.36 % CPULimit : 300 % 0.10/0.36 % WCLimit : 300 % 0.10/0.36 % DateTime : Sat Sep 26 23:24:57 UTC 2026 % 0.10/0.36 % CPUTime : % 0.10/0.36 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p % 14.10/2.37 % SZS status Theorem for theBenchmark.p % 14.10/2.37 % SZS output start CNFRefutation for theBenchmark.p % 14.10/2.37 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)))))))))). % 14.10/2.37 fof(m__656, hypothesis, aRewritingSystem0(xR)). % 14.10/2.37 fof(m__656_01, hypothesis, (isLocallyConfluent0(xR) & isTerminating0(xR))). % 14.10/2.37 fof(m__731, hypothesis, (aElement0(xa) & (aElement0(xb) & aElement0(xc)))). % 14.10/2.37 fof(m__755, hypothesis, (aElement0(xu) & (aReductOfIn0(xu,xa,xR) & sdtmndtasgtdt0(xu,xR,xb)))). % 14.10/2.37 fof(m__779, hypothesis, (aElement0(xv) & (aReductOfIn0(xv,xa,xR) & sdtmndtasgtdt0(xv,xR,xc)))). % 14.10/2.37 fof(m__, conjecture, ? [X0] : ((aElement0(X0) & (sdtmndtasgtdt0(xu,xR,X0) & sdtmndtasgtdt0(xv,xR,X0))))). % 14.10/2.37 fof(negated_conjecture, negated_conjecture, ~? [X0] : ((aElement0(X0) & (sdtmndtasgtdt0(xu,xR,X0) & sdtmndtasgtdt0(xv,xR,X0)))), inference(negate_conjecture, [status(cth)], [m__])). % 14.10/2.37 cnf(c24, plain, ~aRewritingSystem0(X0) | ~isLocallyConfluent0(X0) | X1(X0), inference(clausification, [status(esa)], [mWCRDef])). % 14.10/2.37 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])). % 14.10/2.37 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])). % 14.10/2.37 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])). % 14.10/2.37 cnf(c47, plain, aRewritingSystem0(xR), inference(clausification, [status(esa)], [m__656])). % 14.10/2.37 cnf(c48, plain, isLocallyConfluent0(xR), inference(clausification, [status(esa)], [m__656_01])). % 14.10/2.37 cnf(c50, plain, aElement0(xa), inference(clausification, [status(esa)], [m__731])). % 14.10/2.37 cnf(c58, plain, aElement0(xu), inference(clausification, [status(esa)], [m__755])). % 14.10/2.37 cnf(c59, plain, aReductOfIn0(xu,xa,xR), inference(clausification, [status(esa)], [m__755])). % 14.10/2.37 cnf(c61, plain, aElement0(xv), inference(clausification, [status(esa)], [m__779])). % 14.10/2.37 cnf(c62, plain, aReductOfIn0(xv,xa,xR), inference(clausification, [status(esa)], [m__779])). % 14.10/2.37 cnf(c64, plain, ~aElement0(X0) | ~sdtmndtasgtdt0(xu,xR,X0) | ~sdtmndtasgtdt0(xv,xR,X0), inference(clausification, [status(esa)], [negated_conjecture])). % 14.10/2.37 cnf(d0, plain, ~aReductOfIn0(X0,xa,xR) | ~aElement0(X0) | ~aElement0(xa) | ~aElement0(xu) | aElement0(sK42(xR,xu,X0)) | ~'Ts37'(xR), inference(resolution, [status(thm)], [c26,c59])). % 14.10/2.37 cnf(d1, plain, ~aReductOfIn0(X0,xa,xR) | ~aElement0(X0) | aElement0(sK42(xR,xu,X0)) | ~aElement0(xu) | ~'Ts37'(xR), inference(resolution, [status(thm)], [c50,d0])). % 14.10/2.37 cnf(d2, plain, ~aReductOfIn0(X0,xa,xR) | ~aElement0(X0) | aElement0(sK42(xR,xu,X0)) | ~'Ts37'(xR), inference(resolution, [status(thm)], [c58,d1])). % 14.10/2.37 cnf(d3, plain, ~aRewritingSystem0(xR) | 'Ts37'(xR), inference(resolution, [status(thm)], [c24,c48])). % 14.10/2.37 cnf(d4, plain, 'Ts37'(xR), inference(resolution, [status(thm)], [c47,d3])). % 14.10/2.37 cnf(d5, plain, ~aReductOfIn0(X0,xa,xR) | ~aElement0(X0) | aElement0(sK42(xR,xu,X0)), inference(resolution, [status(thm)], [d4,d2])). % 14.10/2.37 cnf(d6, plain, ~aReductOfIn0(X0,xa,xR) | ~aElement0(X0) | ~aElement0(xa) | ~aElement0(xu) | sdtmndtasgtdt0(xu,xR,sK42(xR,xu,X0)) | ~'Ts37'(xR), inference(resolution, [status(thm)], [c27,c59])). % 14.10/2.37 cnf(d7, plain, ~aReductOfIn0(X0,xa,xR) | ~aElement0(X0) | ~aElement0(xu) | sdtmndtasgtdt0(xu,xR,sK42(xR,xu,X0)) | ~'Ts37'(xR), inference(resolution, [status(thm)], [c50,d6])). % 14.10/2.37 cnf(d8, plain, ~aReductOfIn0(X0,xa,xR) | ~aElement0(X0) | sdtmndtasgtdt0(xu,xR,sK42(xR,xu,X0)) | ~'Ts37'(xR), inference(resolution, [status(thm)], [c58,d7])). % 14.10/2.37 cnf(d9, plain, ~aReductOfIn0(X0,xa,xR) | ~aElement0(X0) | sdtmndtasgtdt0(xu,xR,sK42(xR,xu,X0)), inference(resolution, [status(thm)], [d4,d8])). % 14.10/2.37 cnf(d10, plain, ~aReductOfIn0(X0,xa,xR) | ~aElement0(X0) | ~aElement0(xa) | ~aElement0(xu) | sdtmndtasgtdt0(X0,xR,sK42(xR,xu,X0)) | ~'Ts37'(xR), inference(resolution, [status(thm)], [c28,c59])). % 14.10/2.37 cnf(d11, plain, ~aReductOfIn0(X0,xa,xR) | ~aElement0(X0) | ~aElement0(xu) | sdtmndtasgtdt0(X0,xR,sK42(xR,xu,X0)) | ~'Ts37'(xR), inference(resolution, [status(thm)], [c50,d10])). % 14.10/2.37 cnf(d12, plain, ~aReductOfIn0(X0,xa,xR) | ~aElement0(X0) | sdtmndtasgtdt0(X0,xR,sK42(xR,xu,X0)) | ~'Ts37'(xR), inference(resolution, [status(thm)], [c58,d11])). % 14.10/2.37 cnf(d13, plain, ~aReductOfIn0(X0,xa,xR) | ~aElement0(X0) | sdtmndtasgtdt0(X0,xR,sK42(xR,xu,X0)), inference(resolution, [status(thm)], [d4,d12])). % 14.10/2.37 cnf(d14, plain, ~aReductOfIn0(xv,xa,xR) | ~aElement0(xv) | ~aElement0(sK42(xR,xu,xv)) | ~sdtmndtasgtdt0(xu,xR,sK42(xR,xu,xv)), inference(resolution, [status(thm)], [d13,c64])). % 14.10/2.37 cnf(d15, plain, ~aReductOfIn0(xv,xa,xR) | ~aElement0(sK42(xR,xu,xv)) | ~sdtmndtasgtdt0(xu,xR,sK42(xR,xu,xv)), inference(resolution, [status(thm)], [c61,d14])). % 14.10/2.37 cnf(d16, plain, ~aElement0(sK42(xR,xu,xv)) | ~sdtmndtasgtdt0(xu,xR,sK42(xR,xu,xv)), inference(resolution, [status(thm)], [c62,d15])). % 14.10/2.37 cnf(d17, plain, ~aElement0(sK42(xR,xu,xv)) | ~aReductOfIn0(xv,xa,xR) | ~aElement0(xv), inference(resolution, [status(thm)], [d16,d9])). % 14.10/2.37 cnf(d18, plain, ~aReductOfIn0(xv,xa,xR) | ~aElement0(sK42(xR,xu,xv)), inference(resolution, [status(thm)], [c61,d17])). % 14.10/2.37 cnf(d19, plain, ~aElement0(sK42(xR,xu,xv)), inference(resolution, [status(thm)], [c62,d18])). % 14.10/2.37 cnf(d20, plain, ~aReductOfIn0(xv,xa,xR) | ~aElement0(xv), inference(resolution, [status(thm)], [d19,d5])). % 14.10/2.37 cnf(d21, plain, ~aReductOfIn0(xv,xa,xR), inference(resolution, [status(thm)], [c61,d20])). % 14.10/2.37 cnf(d22, plain, $false, inference(resolution, [status(thm)], [c62,d21])). % 14.10/2.37 % SZS output end CNFRefutation for theBenchmark.p %------------------------------------------------------------------------------