%------------------------------------------------------------------------------ % File : LisaST---0.9 % Problem : SEU130+1 : TPTP v9.3.1. Released v3.3.0. % Transfm : none % Format : tptp:raw % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p % Computer : n010.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 08:40:57 AM UTC 2026 % Result : Theorem 11.83s 3.13s % Output : CNFRefutation 11.83s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.05 % Problem : SEU130+1 : TPTP v9.3.1. Released v3.3.0. % 0.00/0.06 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p % 0.17/0.42 % Computer : n010.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 % 0.17/0.42 % CPULimit : 300 % 0.17/0.42 % WCLimit : 300 % 0.17/0.43 % DateTime : Sat Sep 26 08:38:31 UTC 2026 % 0.17/0.43 % CPUTime : % 0.17/0.43 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p % 11.83/3.13 % SZS status Theorem for theBenchmark.p % 11.83/3.13 % SZS output start CNFRefutation for theBenchmark.p % 11.83/3.13 fof(commutativity_k3_xboole_0, axiom, ! [X0] : ! [X1] : 'set$uintersection2'(X0,X1) = 'set$uintersection2'(X1,X0)). % 11.83/3.13 fof(d3_tarski, axiom, ! [X0] : ! [X1] : ((subset(X0,X1) <=> ! [X2] : ((in(X2,X0) => in(X2,X1)))))). % 11.83/3.13 fof(d3_xboole_0, axiom, ! [X0] : ! [X1] : ! [X2] : ((X2 = 'set$uintersection2'(X0,X1) <=> ! [X3] : ((in(X3,X2) <=> (in(X3,X0) & in(X3,X1))))))). % 11.83/3.13 fof(t28_xboole_1, conjecture, ! [X0] : ! [X1] : ((subset(X0,X1) => 'set$uintersection2'(X0,X1) = X0))). % 11.83/3.13 fof(negated_conjecture, negated_conjecture, ~! [X0] : ! [X1] : ((subset(X0,X1) => 'set$uintersection2'(X0,X1) = X0)), inference(negate_conjecture, [status(cth)], [t28_xboole_1])). % 11.83/3.13 cnf(c1, plain, 'set$uintersection2'(X0,X1) = 'set$uintersection2'(X1,X0), inference(clausification, [status(esa)], [commutativity_k3_xboole_0])). % 11.83/3.13 cnf(c5, plain, ~subset(X0,X1) | ~in(X2,X0) | in(X2,X1), inference(clausification, [status(esa)], [d3_tarski])). % 11.83/3.13 cnf(c9, plain, X0 = 'set$uintersection2'(X1,X2) | ~X3(X1,X2,X0), inference(clausification, [status(esa)], [d3_xboole_0])). % 11.83/3.13 cnf(c14, plain, X0(X1,X2,X3) | in(sK15(X1,X2,X3),X3) | in(sK15(X1,X2,X3),X1), inference(clausification, [status(esa)], [d3_xboole_0])). % 11.83/3.13 cnf(c15, plain, X0(X1,X2,X3) | in(sK15(X1,X2,X3),X3) | in(sK15(X1,X2,X3),X2), inference(clausification, [status(esa)], [d3_xboole_0])). % 11.83/3.13 cnf(c16, plain, X0(X1,X2,X3) | ~in(sK15(X1,X2,X3),X1) | ~in(sK15(X1,X2,X3),X2) | ~in(sK15(X1,X2,X3),X3), inference(clausification, [status(esa)], [d3_xboole_0])). % 11.83/3.13 cnf(c29, plain, subset(sK30,sK31), inference(clausification, [status(esa)], [negated_conjecture])). % 11.83/3.13 cnf(c30, plain, 'set$uintersection2'(sK30,sK31) != sK30, inference(clausification, [status(esa)], [negated_conjecture])). % 11.83/3.13 cnf(d0, plain, in(sK15(X0,X1,X1),X1) | 'Ts10'(X0,X1,X1), inference(factoring, [status(thm)], [c15])). % 11.83/3.13 cnf(d1, plain, in(X0,sK31) | ~in(X0,sK30), inference(resolution, [status(thm)], [c5,c29])). % 11.83/3.13 cnf(d2, plain, in(sK15(X0,X1,sK30),X0) | 'Ts10'(X0,X1,sK30) | in(sK15(X0,X1,sK30),sK31), inference(resolution, [status(thm)], [c14,d1])). % 11.83/3.13 cnf(d3, plain, in(sK15(sK31,X0,sK30),sK31) | 'Ts10'(sK31,X0,sK30), inference(factoring, [status(thm)], [d2])). % 11.83/3.13 cnf(d4, plain, 'Ts10'(sK31,X0,sK30) | ~in(sK15(sK31,X0,sK30),sK30) | ~in(sK15(sK31,X0,sK30),X0) | 'Ts10'(sK31,X0,sK30), inference(resolution, [status(thm)], [d3,c16])). % 11.83/3.13 cnf(d5, plain, ~in(sK15(sK31,sK30,sK30),sK30) | 'Ts10'(sK31,sK30,sK30) | 'Ts10'(sK31,sK30,sK30), inference(resolution, [status(thm)], [d4,d0])). % 11.83/3.13 cnf(d6, plain, 'Ts10'(sK31,sK30,sK30) | 'Ts10'(sK31,sK30,sK30), inference(resolution, [status(thm)], [d5,d0])). % 11.83/3.13 cnf(d7, plain, sK30 = 'set$uintersection2'(sK31,sK30), inference(resolution, [status(thm)], [d6,c9])). % 11.83/3.13 cnf(d8, plain, sK30 = 'set$uintersection2'(sK30,sK31), inference(demodulation, [status(thm)], [d7,c1])). % 11.83/3.13 cnf(d9, plain, sK30 != sK30, inference(demodulation, [status(thm)], [c30,d8])). % 11.83/3.13 cnf(d10, plain, $false, inference(equality_resolution, [status(thm)], [d9])). % 11.83/3.13 % SZS output end CNFRefutation for theBenchmark.p %------------------------------------------------------------------------------