%------------------------------------------------------------------------------ % File : LisaST---0.9 % Problem : COM023+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 06:58:45 AM UTC 2026 % Result : Theorem 11.11s 2.63s % Output : CNFRefutation 11.11s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.03 % Problem : COM023+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 % 0.10/0.36 % Computer : n015.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 23:26:45 UTC 2026 % 0.10/0.36 % CPUTime : % 0.10/0.37 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p % 11.11/2.63 % SZS status Theorem for theBenchmark.p % 11.11/2.63 % SZS output start CNFRefutation for theBenchmark.p % 11.11/2.63 fof(mCRDef, definition, ! [X0] : ((aRewritingSystem0(X0) => (isConfluent0(X0) <=> ! [X1] : ! [X2] : ! [X3] : (((aElement0(X1) & (aElement0(X2) & (aElement0(X3) & (sdtmndtasgtdt0(X1,X0,X2) & sdtmndtasgtdt0(X1,X0,X3))))) => ? [X4] : ((aElement0(X4) & (sdtmndtasgtdt0(X2,X0,X4) & sdtmndtasgtdt0(X3,X0,X4)))))))))). % 11.11/2.63 fof(m__656, hypothesis, aRewritingSystem0(xR)). % 11.11/2.63 fof(m__715, hypothesis, ! [X0] : ! [X1] : ! [X2] : (((aElement0(X0) & (aElement0(X1) & (aElement0(X2) & (sdtmndtasgtdt0(X0,xR,X1) & sdtmndtasgtdt0(X0,xR,X2))))) => ? [X3] : ((aElement0(X3) & (sdtmndtasgtdt0(X1,xR,X3) & sdtmndtasgtdt0(X2,xR,X3))))))). % 11.11/2.63 fof(m__, conjecture, isConfluent0(xR)). % 11.11/2.63 fof(negated_conjecture, negated_conjecture, ~isConfluent0(xR), inference(negate_conjecture, [status(cth)], [m__])). % 11.11/2.63 cnf(c14, plain, ~aRewritingSystem0(X0) | isConfluent0(X0) | ~X1(X0), inference(clausification, [status(esa)], [mCRDef])). % 11.11/2.63 cnf(c18, plain, X0(X1) | aElement0(sK33(X1)), inference(clausification, [status(esa)], [mCRDef])). % 11.11/2.63 cnf(c19, plain, X0(X1) | aElement0(sK34(X1)), inference(clausification, [status(esa)], [mCRDef])). % 11.11/2.63 cnf(c20, plain, X0(X1) | aElement0(sK35(X1)), inference(clausification, [status(esa)], [mCRDef])). % 11.11/2.63 cnf(c21, plain, X0(X1) | sdtmndtasgtdt0(sK33(X1),X1,sK34(X1)), inference(clausification, [status(esa)], [mCRDef])). % 11.11/2.63 cnf(c22, plain, X0(X1) | sdtmndtasgtdt0(sK33(X1),X1,sK35(X1)), inference(clausification, [status(esa)], [mCRDef])). % 11.11/2.63 cnf(c23, plain, X0(X1) | ~aElement0(X2) | ~sdtmndtasgtdt0(sK34(X1),X1,X2) | ~sdtmndtasgtdt0(sK35(X1),X1,X2), inference(clausification, [status(esa)], [mCRDef])). % 11.11/2.63 cnf(c47, plain, aRewritingSystem0(xR), inference(clausification, [status(esa)], [m__656])). % 11.11/2.63 cnf(c50, plain, ~aElement0(X0) | ~sdtmndtasgtdt0(X1,xR,X2) | ~aElement0(X2) | ~sdtmndtasgtdt0(X1,xR,X0) | ~aElement0(X1) | aElement0(sK64(X0,X2)), inference(clausification, [status(esa)], [m__715])). % 11.11/2.63 cnf(c51, plain, ~aElement0(X0) | ~sdtmndtasgtdt0(X1,xR,X2) | sdtmndtasgtdt0(X0,xR,sK64(X0,X2)) | ~aElement0(X1) | ~aElement0(X2) | ~sdtmndtasgtdt0(X1,xR,X0), inference(clausification, [status(esa)], [m__715])). % 11.11/2.63 cnf(c52, plain, ~aElement0(X0) | ~sdtmndtasgtdt0(X1,xR,X2) | sdtmndtasgtdt0(X2,xR,sK64(X0,X2)) | ~aElement0(X1) | ~aElement0(X2) | ~sdtmndtasgtdt0(X1,xR,X0), inference(clausification, [status(esa)], [m__715])). % 11.11/2.63 cnf(c53, plain, ~isConfluent0(xR), inference(clausification, [status(esa)], [negated_conjecture])). % 11.11/2.63 cnf(d0, plain, ~aElement0(X0) | ~aElement0(sK33(xR)) | ~aElement0(sK35(xR)) | aElement0(sK64(sK35(xR),X0)) | ~sdtmndtasgtdt0(sK33(xR),xR,X0) | 'Ts27'(xR), inference(resolution, [status(thm)], [c50,c22])). % 11.11/2.63 cnf(d1, plain, ~aElement0(sK34(xR)) | ~aElement0(sK33(xR)) | ~aElement0(sK35(xR)) | aElement0(sK64(sK35(xR),sK34(xR))) | 'Ts27'(xR) | 'Ts27'(xR), inference(resolution, [status(thm)], [d0,c21])). % 11.11/2.63 cnf(d2, plain, ~aElement0(X0) | ~aElement0(sK33(xR)) | ~aElement0(sK35(xR)) | sdtmndtasgtdt0(X0,xR,sK64(sK35(xR),X0)) | ~sdtmndtasgtdt0(sK33(xR),xR,X0) | 'Ts27'(xR), inference(resolution, [status(thm)], [c52,c22])). % 11.11/2.63 cnf(d3, plain, ~aElement0(X0) | ~aElement0(sK33(xR)) | ~aElement0(sK35(xR)) | ~sdtmndtasgtdt0(sK33(xR),xR,X0) | sdtmndtasgtdt0(sK35(xR),xR,sK64(sK35(xR),X0)) | 'Ts27'(xR), inference(resolution, [status(thm)], [c51,c22])). % 11.11/2.63 cnf(d4, plain, ~aElement0(X0) | ~aElement0(sK33(xR)) | ~aElement0(sK35(xR)) | ~sdtmndtasgtdt0(sK33(xR),xR,X0) | 'Ts27'(xR) | ~aElement0(sK64(sK35(xR),X0)) | ~sdtmndtasgtdt0(sK34(xR),xR,sK64(sK35(xR),X0)) | 'Ts27'(xR), inference(resolution, [status(thm)], [d3,c23])). % 11.11/2.63 cnf(d5, plain, ~aElement0(sK34(xR)) | ~aElement0(sK33(xR)) | ~aElement0(sK35(xR)) | ~aElement0(sK64(sK35(xR),sK34(xR))) | ~sdtmndtasgtdt0(sK33(xR),xR,sK34(xR)) | 'Ts27'(xR) | ~aElement0(sK34(xR)) | ~aElement0(sK33(xR)) | ~aElement0(sK35(xR)) | ~sdtmndtasgtdt0(sK33(xR),xR,sK34(xR)) | 'Ts27'(xR), inference(resolution, [status(thm)], [d4,d2])). % 11.11/2.63 cnf(d6, plain, ~aElement0(sK33(xR)) | ~aElement0(sK34(xR)) | ~aElement0(sK35(xR)) | ~aElement0(sK64(sK35(xR),sK34(xR))) | 'Ts27'(xR) | 'Ts27'(xR), inference(resolution, [status(thm)], [d5,c21])). % 11.11/2.63 cnf(d7, plain, ~aElement0(sK33(xR)) | ~aElement0(sK34(xR)) | ~aElement0(sK35(xR)) | 'Ts27'(xR) | ~aElement0(sK33(xR)) | ~aElement0(sK34(xR)) | ~aElement0(sK35(xR)) | 'Ts27'(xR), inference(resolution, [status(thm)], [d6,d1])). % 11.11/2.63 cnf(d8, plain, ~aElement0(sK33(xR)) | ~aElement0(sK34(xR)) | 'Ts27'(xR) | 'Ts27'(xR), inference(resolution, [status(thm)], [d7,c20])). % 11.11/2.63 cnf(d9, plain, ~aElement0(sK33(xR)) | 'Ts27'(xR) | 'Ts27'(xR), inference(resolution, [status(thm)], [d8,c19])). % 11.11/2.63 cnf(d10, plain, 'Ts27'(xR) | 'Ts27'(xR), inference(resolution, [status(thm)], [d9,c18])). % 11.11/2.63 cnf(d11, plain, ~aRewritingSystem0(xR) | isConfluent0(xR), inference(resolution, [status(thm)], [d10,c14])). % 11.11/2.63 cnf(d12, plain, ~aRewritingSystem0(xR), inference(resolution, [status(thm)], [c53,d11])). % 11.11/2.63 cnf(d13, plain, $false, inference(resolution, [status(thm)], [c47,d12])). % 11.11/2.63 % SZS output end CNFRefutation for theBenchmark.p %------------------------------------------------------------------------------