%------------------------------------------------------------------------------ % File : LisaST---0.9 % Problem : SET949+1 : TPTP v9.3.1. Released v3.2.0. % Transfm : none % Format : tptp:raw % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p % Computer : n016.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 9.09s 2.71s % Output : CNFRefutation 9.09s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.05 % Problem : SET949+1 : TPTP v9.3.1. Released v3.2.0. % 0.00/0.06 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p % 0.17/0.42 % Computer : n016.cluster.edu % 0.17/0.42 % Model : x86_64 x86_64 % 0.17/0.42 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.42 % Memory : 8046.5625MB % 0.17/0.42 % OS : Linux 6.8.0-71-generic % 0.17/0.43 % CPULimit : 300 % 0.17/0.43 % WCLimit : 300 % 0.17/0.43 % DateTime : Sat Sep 26 08:31:44 UTC 2026 % 0.17/0.43 % CPUTime : % 0.17/0.43 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p % 9.09/2.71 % SZS status Theorem for theBenchmark.p % 9.09/2.71 % SZS output start CNFRefutation for theBenchmark.p % 9.09/2.71 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))))))))). % 9.09/2.71 fof(t102_zfmisc_1, conjecture, ! [X0] : ! [X1] : ! [X2] : ~((in(X0,'cartesian$uproduct2'(X1,X2)) & ! [X3] : ! [X4] : 'ordered$upair'(X3,X4) != X0))). % 9.09/2.71 fof(negated_conjecture, negated_conjecture, ~! [X0] : ! [X1] : ! [X2] : ~((in(X0,'cartesian$uproduct2'(X1,X2)) & ! [X3] : ! [X4] : 'ordered$upair'(X3,X4) != X0)), inference(negate_conjecture, [status(cth)], [t102_zfmisc_1])). % 9.09/2.71 cnf(c2, plain, X0 != 'cartesian$uproduct2'(X1,X2) | X3(X1,X2,X0), inference(clausification, [status(esa)], [d2_zfmisc_1])). % 9.09/2.71 cnf(c6, plain, ~X0(X1,X2,X3) | ~in(X4,X3) | X4 = 'ordered$upair'(sK9(X1,X2,X4),sK10(X1,X2,X4)), inference(clausification, [status(esa)], [d2_zfmisc_1])). % 9.09/2.71 cnf(c20, plain, in(sK24,'cartesian$uproduct2'(sK25,sK26)), inference(clausification, [status(esa)], [negated_conjecture])). % 9.09/2.71 cnf(c21, plain, 'ordered$upair'(X0,X1) != sK24, inference(clausification, [status(esa)], [negated_conjecture])). % 9.09/2.71 cnf(d0, plain, 'Ts4'(X0,X1,'cartesian$uproduct2'(X0,X1)), inference(equality_resolution, [status(thm)], [c2])). % 9.09/2.71 cnf(d1, plain, X0 = 'ordered$upair'(sK9(X1,X2,X0),sK10(X1,X2,X0)) | ~in(X0,'cartesian$uproduct2'(X1,X2)), inference(resolution, [status(thm)], [c6,d0])). % 9.09/2.71 cnf(d2, plain, sK24 = 'ordered$upair'(sK9(sK25,sK26,sK24),sK10(sK25,sK26,sK24)), inference(resolution, [status(thm)], [d1,c20])). % 9.09/2.71 cnf(d3, plain, sK24 != sK24, inference(superposition, [status(thm)], [d2,c21])). % 9.09/2.71 cnf(d4, plain, $false, inference(equality_resolution, [status(thm)], [d3])). % 9.09/2.71 % SZS output end CNFRefutation for theBenchmark.p %------------------------------------------------------------------------------