%------------------------------------------------------------------------------ % File : LisaST---0.9 % Problem : COM023+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 : n003.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 15.72s 2.43s % Output : CNFRefutation 15.72s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.02 % Problem : COM023+4 : TPTP v9.3.1. Released v4.0.0. % 0.00/0.03 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p % 0.07/0.35 % Computer : n003.cluster.edu % 0.07/0.35 % Model : x86_64 x86_64 % 0.07/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.07/0.35 % Memory : 8046.5625MB % 0.07/0.35 % OS : Linux 6.8.0-71-generic % 0.07/0.35 % CPULimit : 300 % 0.07/0.35 % WCLimit : 300 % 0.07/0.35 % DateTime : Sat Sep 26 23:24:55 UTC 2026 % 0.07/0.35 % CPUTime : % 0.07/0.35 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p % 15.72/2.43 % SZS status Theorem for theBenchmark.p % 15.72/2.43 % SZS output start CNFRefutation for theBenchmark.p % 15.72/2.43 fof(m__715, hypothesis, ! [X0] : ! [X1] : ! [X2] : (((aElement0(X0) & (aElement0(X1) & (aElement0(X2) & ((X0 = X1 | (aReductOfIn0(X1,X0,xR) | (? [X3] : ((aElement0(X3) & (aReductOfIn0(X3,X0,xR) & sdtmndtplgtdt0(X3,xR,X1)))) | (sdtmndtplgtdt0(X0,xR,X1) | sdtmndtasgtdt0(X0,xR,X1))))) & (X0 = X2 | (aReductOfIn0(X2,X0,xR) | (? [X3] : ((aElement0(X3) & (aReductOfIn0(X3,X0,xR) & sdtmndtplgtdt0(X3,xR,X2)))) | (sdtmndtplgtdt0(X0,xR,X2) | sdtmndtasgtdt0(X0,xR,X2))))))))) => ? [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))))))))). % 15.72/2.43 fof(m__, conjecture, (! [X0] : ! [X1] : ! [X2] : (((aElement0(X0) & (aElement0(X1) & (aElement0(X2) & ((X0 = X1 | ((aReductOfIn0(X1,X0,xR) | ? [X3] : ((aElement0(X3) & (aReductOfIn0(X3,X0,xR) & sdtmndtplgtdt0(X3,xR,X1))))) & sdtmndtplgtdt0(X0,xR,X1))) & (sdtmndtasgtdt0(X0,xR,X1) & ((X0 = X2 | ((aReductOfIn0(X2,X0,xR) | ? [X3] : ((aElement0(X3) & (aReductOfIn0(X3,X0,xR) & sdtmndtplgtdt0(X3,xR,X2))))) & sdtmndtplgtdt0(X0,xR,X2))) & sdtmndtasgtdt0(X0,xR,X2))))))) => ? [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)))))))))) | isConfluent0(xR))). % 15.72/2.43 fof(negated_conjecture, negated_conjecture, ~((! [X0] : ! [X1] : ! [X2] : (((aElement0(X0) & (aElement0(X1) & (aElement0(X2) & ((X0 = X1 | ((aReductOfIn0(X1,X0,xR) | ? [X3] : ((aElement0(X3) & (aReductOfIn0(X3,X0,xR) & sdtmndtplgtdt0(X3,xR,X1))))) & sdtmndtplgtdt0(X0,xR,X1))) & (sdtmndtasgtdt0(X0,xR,X1) & ((X0 = X2 | ((aReductOfIn0(X2,X0,xR) | ? [X3] : ((aElement0(X3) & (aReductOfIn0(X3,X0,xR) & sdtmndtplgtdt0(X3,xR,X2))))) & sdtmndtplgtdt0(X0,xR,X2))) & sdtmndtasgtdt0(X0,xR,X2))))))) => ? [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)))))))))) | isConfluent0(xR))), inference(negate_conjecture, [status(cth)], [m__])). % 15.72/2.43 cnf(c65, plain, X0(X1,X2) | ~X3(X4,X1) | ~aElement0(X1) | ~aElement0(X2) | ~aElement0(X4) | ~X5(X4,X2), inference(clausification, [status(esa)], [m__715])). % 15.72/2.43 cnf(c70, plain, X0(X1,X2) | ~sdtmndtasgtdt0(X1,xR,X2), inference(clausification, [status(esa)], [m__715])). % 15.72/2.43 cnf(c75, plain, X0(X1,X2) | ~sdtmndtasgtdt0(X1,xR,X2), inference(clausification, [status(esa)], [m__715])). % 15.72/2.43 cnf(c76, plain, ~X0(X1,X2) | aElement0(sK79(X1,X2)), inference(clausification, [status(esa)], [m__715])). % 15.72/2.43 cnf(c81, plain, ~X0(X1,X2) | sdtmndtasgtdt0(X1,xR,sK79(X1,X2)), inference(clausification, [status(esa)], [m__715])). % 15.72/2.43 cnf(c86, plain, ~X0(X1,X2) | sdtmndtasgtdt0(X2,xR,sK79(X1,X2)), inference(clausification, [status(esa)], [m__715])). % 15.72/2.43 cnf(c87, plain, aElement0(sK84), inference(clausification, [status(esa)], [negated_conjecture])). % 15.72/2.43 cnf(c88, plain, aElement0(sK85), inference(clausification, [status(esa)], [negated_conjecture])). % 15.72/2.43 cnf(c89, plain, aElement0(sK86), inference(clausification, [status(esa)], [negated_conjecture])). % 15.72/2.43 cnf(c94, plain, sdtmndtasgtdt0(sK84,xR,sK85), inference(clausification, [status(esa)], [negated_conjecture])). % 15.72/2.43 cnf(c99, plain, sdtmndtasgtdt0(sK84,xR,sK86), inference(clausification, [status(esa)], [negated_conjecture])). % 15.72/2.43 cnf(c100, plain, ~aElement0(X0) | ~X1(sK85,X0) | ~X2(sK86,X0), inference(clausification, [status(esa)], [negated_conjecture])). % 15.72/2.43 cnf(c106, plain, X0(X1,X2) | ~sdtmndtasgtdt0(X1,xR,X2), inference(clausification, [status(esa)], [negated_conjecture])). % 15.72/2.43 cnf(c111, plain, X0(X1,X2) | ~sdtmndtasgtdt0(X1,xR,X2), inference(clausification, [status(esa)], [negated_conjecture])). % 15.72/2.43 cnf(d0, plain, ~'Ts73'(X0,X1) | 'Ts83'(X1,sK79(X0,X1)), inference(resolution, [status(thm)], [c86,c111])). % 15.72/2.43 cnf(d1, plain, ~'Ts73'(X0,X1) | 'Ts82'(X0,sK79(X0,X1)), inference(resolution, [status(thm)], [c81,c106])). % 15.72/2.43 cnf(d2, plain, ~'Ts73'(sK85,X0) | ~aElement0(sK79(sK85,X0)) | ~'Ts83'(sK86,sK79(sK85,X0)), inference(resolution, [status(thm)], [d1,c100])). % 15.72/2.43 cnf(d3, plain, ~aElement0(sK79(sK85,sK86)) | ~'Ts73'(sK85,sK86) | ~'Ts73'(sK85,sK86), inference(resolution, [status(thm)], [d2,d0])). % 15.72/2.43 cnf(d4, plain, 'Ts72'(sK84,sK86), inference(resolution, [status(thm)], [c75,c99])). % 15.72/2.43 cnf(d5, plain, 'Ts71'(sK84,sK85), inference(resolution, [status(thm)], [c70,c94])). % 15.72/2.43 cnf(d6, plain, ~aElement0(X0) | ~aElement0(sK85) | ~aElement0(sK84) | ~'Ts72'(sK84,X0) | 'Ts73'(sK85,X0), inference(resolution, [status(thm)], [d5,c65])). % 15.72/2.43 cnf(d7, plain, ~aElement0(X0) | ~aElement0(sK85) | ~'Ts72'(sK84,X0) | 'Ts73'(sK85,X0), inference(resolution, [status(thm)], [c87,d6])). % 15.72/2.43 cnf(d8, plain, ~aElement0(X0) | ~'Ts72'(sK84,X0) | 'Ts73'(sK85,X0), inference(resolution, [status(thm)], [c88,d7])). % 15.72/2.43 cnf(d9, plain, ~aElement0(sK86) | 'Ts73'(sK85,sK86), inference(resolution, [status(thm)], [d8,d4])). % 15.72/2.43 cnf(d10, plain, 'Ts73'(sK85,sK86), inference(resolution, [status(thm)], [c89,d9])). % 15.72/2.43 cnf(d11, plain, ~aElement0(sK79(sK85,sK86)), inference(resolution, [status(thm)], [d10,d3])). % 15.72/2.43 cnf(d12, plain, ~'Ts73'(sK85,sK86), inference(resolution, [status(thm)], [d11,c76])). % 15.72/2.43 cnf(d13, plain, $false, inference(resolution, [status(thm)], [d10,d12])). % 15.72/2.43 % SZS output end CNFRefutation for theBenchmark.p %------------------------------------------------------------------------------