%------------------------------------------------------------------------------ % File : LisaST---0.9 % Problem : COM013+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 : n009.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 13.72s 2.26s % Output : CNFRefutation 13.72s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.03 % Problem : COM013+4 : TPTP v9.3.1. Released v4.0.0. % 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p % 0.07/0.34 % Computer : n009.cluster.edu % 0.07/0.34 % Model : x86_64 x86_64 % 0.07/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.07/0.34 % Memory : 8046.5625MB % 0.07/0.34 % OS : Linux 6.8.0-71-generic % 0.07/0.34 % CPULimit : 300 % 0.07/0.34 % WCLimit : 300 % 0.07/0.34 % DateTime : Sat Sep 26 23:21:14 UTC 2026 % 0.07/0.34 % CPUTime : % 0.07/0.34 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p % 13.72/2.26 % SZS status Theorem for theBenchmark.p % 13.72/2.26 % SZS output start CNFRefutation for theBenchmark.p % 13.72/2.26 fof(mReduct, axiom, ! [X0] : ! [X1] : (((aElement0(X0) & aRewritingSystem0(X1)) => ! [X2] : ((aReductOfIn0(X2,X0,X1) => aElement0(X2)))))). % 13.72/2.26 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))))))))). % 13.72/2.26 fof(mTCRDef, definition, ! [X0] : ! [X1] : ! [X2] : (((aElement0(X0) & (aRewritingSystem0(X1) & aElement0(X2))) => (sdtmndtasgtdt0(X0,X1,X2) <=> (X0 = X2 | sdtmndtplgtdt0(X0,X1,X2)))))). % 13.72/2.26 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))))). % 13.72/2.26 fof(m__587, hypothesis, (aRewritingSystem0(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)))). % 13.72/2.26 fof(m__, conjecture, ! [X0] : ((aElement0(X0) => (! [X1] : ((aElement0(X1) => (iLess0(X1,X0) => ? [X2] : ((aElement0(X2) & ((X1 = X2 | ((aReductOfIn0(X2,X1,xR) | ? [X3] : ((aElement0(X3) & (aReductOfIn0(X3,X1,xR) & sdtmndtplgtdt0(X3,xR,X2))))) & sdtmndtplgtdt0(X1,xR,X2))) & (sdtmndtasgtdt0(X1,xR,X2) & (~? [X3] : aReductOfIn0(X3,X2,xR) & aNormalFormOfIn0(X2,X1,xR))))))))) => ? [X1] : (((aElement0(X1) & ((X0 = X1 | (aReductOfIn0(X1,X0,xR) | (? [X2] : ((aElement0(X2) & (aReductOfIn0(X2,X0,xR) & sdtmndtplgtdt0(X2,xR,X1)))) | (sdtmndtplgtdt0(X0,xR,X1) | sdtmndtasgtdt0(X0,xR,X1))))) & ~? [X2] : aReductOfIn0(X2,X1,xR))) | aNormalFormOfIn0(X1,X0,xR))))))). % 13.72/2.26 fof(negated_conjecture, negated_conjecture, ~! [X0] : ((aElement0(X0) => (! [X1] : ((aElement0(X1) => (iLess0(X1,X0) => ? [X2] : ((aElement0(X2) & ((X1 = X2 | ((aReductOfIn0(X2,X1,xR) | ? [X3] : ((aElement0(X3) & (aReductOfIn0(X3,X1,xR) & sdtmndtplgtdt0(X3,xR,X2))))) & sdtmndtplgtdt0(X1,xR,X2))) & (sdtmndtasgtdt0(X1,xR,X2) & (~? [X3] : aReductOfIn0(X3,X2,xR) & aNormalFormOfIn0(X2,X1,xR))))))))) => ? [X1] : (((aElement0(X1) & ((X0 = X1 | (aReductOfIn0(X1,X0,xR) | (? [X2] : ((aElement0(X2) & (aReductOfIn0(X2,X0,xR) & sdtmndtplgtdt0(X2,xR,X1)))) | (sdtmndtplgtdt0(X0,xR,X1) | sdtmndtasgtdt0(X0,xR,X1))))) & ~? [X2] : aReductOfIn0(X2,X1,xR))) | aNormalFormOfIn0(X1,X0,xR)))))), inference(negate_conjecture, [status(cth)], [m__])). % 13.72/2.26 cnf(c0, plain, ~aElement0(X0) | ~aRewritingSystem0(X1) | ~aReductOfIn0(X2,X0,X1) | aElement0(X2), inference(clausification, [status(esa)], [mReduct])). % 13.72/2.26 cnf(c2, plain, sdtmndtplgtdt0(X0,X1,X2) | ~aRewritingSystem0(X1) | ~X3(X0,X1,X2) | ~aElement0(X2) | ~aElement0(X0), inference(clausification, [status(esa)], [mTCDef])). % 13.72/2.26 cnf(c6, plain, X0(X1,X2,X3) | ~aReductOfIn0(X3,X1,X2), inference(clausification, [status(esa)], [mTCDef])). % 13.72/2.26 cnf(c11, plain, ~sdtmndtplgtdt0(X0,X1,X2) | ~aRewritingSystem0(X1) | sdtmndtasgtdt0(X0,X1,X2) | ~aElement0(X0) | ~aElement0(X2), inference(clausification, [status(esa)], [mTCRDef])). % 13.72/2.26 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])). % 13.72/2.26 cnf(c46, plain, aRewritingSystem0(xR), inference(clausification, [status(esa)], [m__587])). % 13.72/2.26 cnf(c47, plain, ~aElement0(X0) | ~aElement0(X1) | ~aReductOfIn0(X1,X0,xR) | iLess0(X1,X0), inference(clausification, [status(esa)], [m__587])). % 13.72/2.26 cnf(c51, plain, aElement0(sK63), inference(clausification, [status(esa)], [negated_conjecture])). % 13.72/2.26 cnf(c52, plain, ~aElement0(X0) | ~iLess0(X0,sK63) | X1(X0), inference(clausification, [status(esa)], [negated_conjecture])). % 13.72/2.26 cnf(c53, plain, ~aElement0(X0) | ~X1(sK63,X0) | aReductOfIn0(sK66(X0),X0,xR), inference(clausification, [status(esa)], [negated_conjecture])). % 13.72/2.26 cnf(c55, plain, ~X0(X1) | aElement0(sK67(X1)), inference(clausification, [status(esa)], [negated_conjecture])). % 13.72/2.26 cnf(c60, plain, ~X0(X1) | sdtmndtasgtdt0(X1,xR,sK67(X1)), inference(clausification, [status(esa)], [negated_conjecture])). % 13.72/2.26 cnf(c61, plain, ~X0(X1) | ~aReductOfIn0(X2,sK67(X1),xR), inference(clausification, [status(esa)], [negated_conjecture])). % 13.72/2.26 cnf(c63, plain, X0(X1,X2) | X1 != X2, inference(clausification, [status(esa)], [negated_conjecture])). % 13.72/2.26 cnf(c67, plain, X0(X1,X2) | ~sdtmndtasgtdt0(X1,xR,X2), inference(clausification, [status(esa)], [negated_conjecture])). % 13.72/2.26 cnf(d0, plain, ~aElement0(sK67(X0)) | ~'Ts62'(sK63,sK67(X0)) | ~'Ts61'(X0), inference(resolution, [status(thm)], [c53,c61])). % 13.72/2.26 cnf(d1, plain, ~aElement0(X0) | ~'Ts62'(sK63,X0) | 'Ts10'(X0,xR,sK66(X0)), inference(resolution, [status(thm)], [c53,c6])). % 13.72/2.26 cnf(d2, plain, ~aElement0(X0) | ~'Ts62'(sK63,X0) | ~aRewritingSystem0(xR) | ~aElement0(sK66(X0)) | ~aElement0(X0) | sdtmndtplgtdt0(X0,xR,sK66(X0)), inference(resolution, [status(thm)], [d1,c2])). % 13.72/2.26 cnf(d3, plain, ~aRewritingSystem0(xR) | ~aElement0(X0) | ~aElement0(sK66(X0)) | ~'Ts62'(sK63,X0) | ~aRewritingSystem0(xR) | ~aElement0(sK66(X0)) | ~aElement0(X0) | sdtmndtasgtdt0(X0,xR,sK66(X0)), inference(resolution, [status(thm)], [d2,c11])). % 13.72/2.26 cnf(d4, plain, ~aRewritingSystem0(xR) | ~aElement0(X0) | ~aElement0(sK66(X0)) | ~'Ts62'(sK63,X0) | ~aRewritingSystem0(xR) | ~aElement0(X1) | ~aElement0(sK66(X0)) | ~aElement0(X0) | ~sdtmndtasgtdt0(sK66(X0),xR,X1) | sdtmndtasgtdt0(X0,xR,X1), inference(resolution, [status(thm)], [d3,c12])). % 13.72/2.26 cnf(d5, plain, ~aElement0(X0) | ~aElement0(X1) | ~aElement0(sK66(X1)) | sdtmndtasgtdt0(X1,xR,X0) | ~sdtmndtasgtdt0(sK66(X1),xR,X0) | ~'Ts62'(sK63,X1), inference(resolution, [status(thm)], [c46,d4])). % 13.72/2.26 cnf(d6, plain, ~aElement0(X0) | ~aElement0(sK67(sK66(X0))) | ~aElement0(sK66(X0)) | sdtmndtasgtdt0(X0,xR,sK67(sK66(X0))) | ~'Ts62'(sK63,X0) | ~'Ts61'(sK66(X0)), inference(resolution, [status(thm)], [d5,c60])). % 13.72/2.26 cnf(d7, plain, ~aElement0(X0) | ~aElement0(sK66(X0)) | ~aElement0(sK67(sK66(X0))) | ~'Ts61'(sK66(X0)) | ~'Ts62'(sK63,X0) | 'Ts62'(X0,sK67(sK66(X0))), inference(resolution, [status(thm)], [d6,c67])). % 13.72/2.26 cnf(d8, plain, ~aElement0(sK63) | ~aElement0(sK66(sK63)) | ~aElement0(sK67(sK66(sK63))) | ~'Ts61'(sK66(sK63)) | ~'Ts62'(sK63,sK63) | ~aElement0(sK67(sK66(sK63))) | ~'Ts61'(sK66(sK63)), inference(resolution, [status(thm)], [d7,d0])). % 13.72/2.26 cnf(d9, plain, ~aElement0(sK66(sK63)) | ~aElement0(sK67(sK66(sK63))) | ~'Ts61'(sK66(sK63)) | ~'Ts62'(sK63,sK63), inference(resolution, [status(thm)], [c51,d8])). % 13.72/2.26 cnf(d10, plain, 'Ts62'(X0,X0), inference(equality_resolution, [status(thm)], [c63])). % 13.72/2.26 cnf(d11, plain, ~aElement0(sK66(sK63)) | ~aElement0(sK67(sK66(sK63))) | ~'Ts61'(sK66(sK63)), inference(resolution, [status(thm)], [d10,d9])). % 13.72/2.26 cnf(d12, plain, ~aElement0(X0) | ~'Ts62'(sK63,X0) | ~aRewritingSystem0(xR) | ~aElement0(X0) | aElement0(sK66(X0)), inference(resolution, [status(thm)], [c53,c0])). % 13.72/2.26 cnf(d13, plain, ~aRewritingSystem0(xR) | ~aElement0(sK63) | aElement0(sK66(sK63)), inference(resolution, [status(thm)], [d12,d10])). % 13.72/2.26 cnf(d14, plain, ~aRewritingSystem0(xR) | aElement0(sK66(sK63)), inference(resolution, [status(thm)], [c51,d13])). % 13.72/2.26 cnf(d15, plain, aElement0(sK66(sK63)), inference(resolution, [status(thm)], [c46,d14])). % 13.72/2.26 cnf(d16, plain, ~aElement0(sK67(sK66(sK63))) | ~'Ts61'(sK66(sK63)), inference(resolution, [status(thm)], [d15,d11])). % 13.72/2.26 cnf(d17, plain, ~aElement0(X0) | ~aElement0(sK66(X0)) | iLess0(sK66(X0),X0) | ~aElement0(X0) | ~'Ts62'(sK63,X0), inference(resolution, [status(thm)], [c47,c53])). % 13.72/2.26 cnf(d18, plain, ~aElement0(sK63) | ~aElement0(sK66(sK63)) | ~'Ts62'(sK63,sK63) | ~aElement0(sK66(sK63)) | 'Ts61'(sK66(sK63)), inference(resolution, [status(thm)], [d17,c52])). % 13.72/2.26 cnf(d19, plain, ~aElement0(sK66(sK63)) | 'Ts61'(sK66(sK63)) | ~'Ts62'(sK63,sK63), inference(resolution, [status(thm)], [c51,d18])). % 13.72/2.26 cnf(d20, plain, ~aElement0(sK66(sK63)) | 'Ts61'(sK66(sK63)), inference(resolution, [status(thm)], [d10,d19])). % 13.72/2.26 cnf(d21, plain, 'Ts61'(sK66(sK63)), inference(resolution, [status(thm)], [d15,d20])). % 13.72/2.26 cnf(d22, plain, ~aElement0(sK67(sK66(sK63))), inference(resolution, [status(thm)], [d21,d16])). % 13.72/2.26 cnf(d23, plain, ~'Ts61'(sK66(sK63)), inference(resolution, [status(thm)], [d22,c55])). % 13.72/2.26 cnf(d24, plain, $false, inference(resolution, [status(thm)], [d21,d23])). % 13.72/2.26 % SZS output end CNFRefutation for theBenchmark.p %------------------------------------------------------------------------------