%------------------------------------------------------------------------------ % File : LisaST---0.9 % Problem : SET950+1 : TPTP v9.3.1. Released v3.2.0. % Transfm : none % Format : tptp:raw % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p % Computer : n002.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 08:33:37 AM UTC 2026 % Result : Theorem 13.62s 2.13s % Output : CNFRefutation 13.62s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.02 % Problem : SET950+1 : TPTP v9.3.1. Released v3.2.0. % 0.00/0.03 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p % 0.08/0.35 % Computer : n002.cluster.edu % 0.08/0.35 % Model : x86_64 x86_64 % 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.08/0.35 % Memory : 8046.5625MB % 0.08/0.35 % OS : Linux 6.8.0-71-generic % 0.08/0.35 % CPULimit : 300 % 0.08/0.35 % WCLimit : 300 % 0.08/0.35 % DateTime : Sat Sep 26 08:29:35 UTC 2026 % 0.08/0.35 % CPUTime : % 0.08/0.35 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p % 13.62/2.13 % SZS status Theorem for theBenchmark.p % 13.62/2.13 % SZS output start CNFRefutation for theBenchmark.p % 13.62/2.13 fof(d2_zfmisc_1, axiom, ! [X0] : ! [X1] : ! [X2] : ((X2 = 'cartesian$uproduct2'(X0,X1) <=> ! [X3] : ((in(X3,X2) <=> ? [X4] : ? [X5] : ((in(X4,X0) & (in(X5,X1) & X3 = 'ordered$upair'(X4,X5))))))))). % 13.62/2.13 fof(d3_tarski, axiom, ! [X0] : ! [X1] : ((subset(X0,X1) <=> ! [X2] : ((in(X2,X0) => in(X2,X1)))))). % 13.62/2.13 fof(t103_zfmisc_1, conjecture, ! [X0] : ! [X1] : ! [X2] : ! [X3] : ~((subset(X0,'cartesian$uproduct2'(X1,X2)) & (in(X3,X0) & ! [X4] : ! [X5] : ~((in(X4,X1) & (in(X5,X2) & X3 = 'ordered$upair'(X4,X5)))))))). % 13.62/2.13 fof(negated_conjecture, negated_conjecture, ~! [X0] : ! [X1] : ! [X2] : ! [X3] : ~((subset(X0,'cartesian$uproduct2'(X1,X2)) & (in(X3,X0) & ! [X4] : ! [X5] : ~((in(X4,X1) & (in(X5,X2) & X3 = 'ordered$upair'(X4,X5))))))), inference(negate_conjecture, [status(cth)], [t103_zfmisc_1])). % 13.62/2.13 cnf(c2, plain, X0 != 'cartesian$uproduct2'(X1,X2) | X3(X1,X2,X0), inference(clausification, [status(esa)], [d2_zfmisc_1])). % 13.62/2.13 cnf(c4, plain, ~X0(X1,X2,X3) | ~in(X4,X3) | in(sK9(X1,X2,X4),X1), inference(clausification, [status(esa)], [d2_zfmisc_1])). % 13.62/2.13 cnf(c5, plain, ~X0(X1,X2,X3) | ~in(X4,X3) | in(sK10(X1,X2,X4),X2), inference(clausification, [status(esa)], [d2_zfmisc_1])). % 13.62/2.13 cnf(c6, plain, ~X0(X1,X2,X3) | ~in(X4,X3) | X4 = 'ordered$upair'(sK9(X1,X2,X4),sK10(X1,X2,X4)), inference(clausification, [status(esa)], [d2_zfmisc_1])). % 13.62/2.13 cnf(c16, plain, ~subset(X0,X1) | ~in(X2,X0) | in(X2,X1), inference(clausification, [status(esa)], [d3_tarski])). % 13.62/2.13 cnf(c24, plain, subset(sK30,'cartesian$uproduct2'(sK31,sK32)), inference(clausification, [status(esa)], [negated_conjecture])). % 13.62/2.13 cnf(c25, plain, in(sK33,sK30), inference(clausification, [status(esa)], [negated_conjecture])). % 13.62/2.13 cnf(c26, plain, ~in(X0,sK31) | ~in(X1,sK32) | sK33 != 'ordered$upair'(X0,X1), inference(clausification, [status(esa)], [negated_conjecture])). % 13.62/2.13 cnf(d0, plain, in(X0,'cartesian$uproduct2'(sK31,sK32)) | ~in(X0,sK30), inference(resolution, [status(thm)], [c16,c24])). % 13.62/2.13 cnf(d1, plain, 'Ts4'(X0,X1,'cartesian$uproduct2'(X0,X1)), inference(equality_resolution, [status(thm)], [c2])). % 13.62/2.13 cnf(d2, plain, ~in(X0,'cartesian$uproduct2'(X1,X2)) | in(sK9(X1,X2,X0),X1), inference(resolution, [status(thm)], [d1,c4])). % 13.62/2.13 cnf(d3, plain, ~in(X0,'cartesian$uproduct2'(X1,X2)) | in(sK10(X1,X2,X0),X2), inference(resolution, [status(thm)], [d1,c5])). % 13.62/2.13 cnf(d4, plain, X0 = 'ordered$upair'(sK9(X1,X2,X0),sK10(X1,X2,X0)) | ~in(X0,'cartesian$uproduct2'(X1,X2)), inference(resolution, [status(thm)], [d1,c6])). % 13.62/2.13 cnf(d5, plain, X0 = 'ordered$upair'(sK9(sK31,sK32,X0),sK10(sK31,sK32,X0)) | ~in(X0,sK30), inference(resolution, [status(thm)], [d4,d0])). % 13.62/2.13 cnf(d6, plain, sK33 = 'ordered$upair'(sK9(sK31,sK32,sK33),sK10(sK31,sK32,sK33)), inference(resolution, [status(thm)], [d5,c25])). % 13.62/2.13 cnf(d7, plain, sK33 != sK33 | ~in(sK10(sK31,sK32,sK33),sK32) | ~in(sK9(sK31,sK32,sK33),sK31), inference(superposition, [status(thm)], [d6,c26])). % 13.62/2.13 cnf(d8, plain, ~in(sK9(sK31,sK32,sK33),sK31) | ~in(sK10(sK31,sK32,sK33),sK32), inference(equality_resolution, [status(thm)], [d7])). % 13.62/2.13 cnf(d9, plain, ~in(sK9(sK31,sK32,sK33),sK31) | ~in(sK33,'cartesian$uproduct2'(sK31,sK32)), inference(resolution, [status(thm)], [d8,d3])). % 13.62/2.13 cnf(d10, plain, ~in(sK33,'cartesian$uproduct2'(sK31,sK32)) | ~in(sK33,'cartesian$uproduct2'(sK31,sK32)), inference(resolution, [status(thm)], [d9,d2])). % 13.62/2.13 cnf(d11, plain, ~in(sK33,sK30), inference(resolution, [status(thm)], [d10,d0])). % 13.62/2.13 cnf(d12, plain, $false, inference(resolution, [status(thm)], [c25,d11])). % 13.62/2.13 % SZS output end CNFRefutation for theBenchmark.p %------------------------------------------------------------------------------