%------------------------------------------------------------------------------ % File : LisaST---0.9 % Problem : SEU164+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 : n005.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 08:41:07 AM UTC 2026 % Result : Theorem 25.03s 5.78s % Output : CNFRefutation 25.03s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.05 % Problem : SEU164+1 : TPTP v9.3.1. Released v3.3.0. % 0.00/0.07 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p % 0.17/0.43 % Computer : n005.cluster.edu % 0.17/0.43 % Model : x86_64 x86_64 % 0.17/0.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.43 % Memory : 8046.5625MB % 0.17/0.43 % 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 08:43:01 UTC 2026 % 0.17/0.43 % CPUTime : % 0.17/0.43 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p % 25.03/5.78 % SZS status Theorem for theBenchmark.p % 25.03/5.78 % SZS output start CNFRefutation for theBenchmark.p % 25.03/5.78 fof(d1_zfmisc_1, axiom, ! [X0] : ! [X1] : ((X1 = powerset(X0) <=> ! [X2] : ((in(X2,X1) <=> subset(X2,X0)))))). % 25.03/5.78 fof(d3_tarski, axiom, ! [X0] : ! [X1] : ((subset(X0,X1) <=> ! [X2] : ((in(X2,X0) => in(X2,X1)))))). % 25.03/5.78 fof(d4_tarski, axiom, ! [X0] : ! [X1] : ((X1 = union(X0) <=> ! [X2] : ((in(X2,X1) <=> ? [X3] : ((in(X2,X3) & in(X3,X0)))))))). % 25.03/5.78 fof(l2_zfmisc_1, axiom, ! [X0] : ! [X1] : ((subset(singleton(X0),X1) <=> in(X0,X1)))). % 25.03/5.78 fof(reflexivity_r1_tarski, axiom, ! [X0] : ! [X1] : subset(X0,X0)). % 25.03/5.78 fof(t99_zfmisc_1, conjecture, ! [X0] : union(powerset(X0)) = X0). % 25.03/5.78 fof(negated_conjecture, negated_conjecture, ~! [X0] : union(powerset(X0)) = X0, inference(negate_conjecture, [status(cth)], [t99_zfmisc_1])). % 25.03/5.78 cnf(c7, plain, powerset(X0) != X1 | ~in(X2,X1) | subset(X2,X0), inference(clausification, [status(esa)], [d1_zfmisc_1])). % 25.03/5.78 cnf(c8, plain, powerset(X0) != X1 | in(X2,X1) | ~subset(X2,X0), inference(clausification, [status(esa)], [d1_zfmisc_1])). % 25.03/5.78 cnf(c13, plain, ~subset(X0,X1) | ~in(X2,X0) | in(X2,X1), inference(clausification, [status(esa)], [d3_tarski])). % 25.03/5.78 cnf(c19, plain, union(X0) = X1 | in(sK20(X0,X1),X1) | X2(X0,X1,sK20(X0,X1)), inference(clausification, [status(esa)], [d4_tarski])). % 25.03/5.78 cnf(c20, plain, union(X0) = X1 | ~in(sK20(X0,X1),X2) | ~in(X2,X0) | X3(X0,X1,sK20(X0,X1)), inference(clausification, [status(esa)], [d4_tarski])). % 25.03/5.78 cnf(c21, plain, ~X0(X1,X2,X3) | ~in(X3,X2), inference(clausification, [status(esa)], [d4_tarski])). % 25.03/5.78 cnf(c22, plain, ~X0(X1,X2,X3) | in(X3,sK22(X1,X3)), inference(clausification, [status(esa)], [d4_tarski])). % 25.03/5.78 cnf(c23, plain, ~X0(X1,X2,X3) | in(sK22(X1,X3),X1), inference(clausification, [status(esa)], [d4_tarski])). % 25.03/5.78 cnf(c24, plain, ~subset(singleton(X0),X1) | in(X0,X1), inference(clausification, [status(esa)], [l2_zfmisc_1])). % 25.03/5.78 cnf(c25, plain, subset(singleton(X0),X1) | ~in(X0,X1), inference(clausification, [status(esa)], [l2_zfmisc_1])). % 25.03/5.78 cnf(c26, plain, subset(X0,X0), inference(clausification, [status(esa)], [reflexivity_r1_tarski])). % 25.03/5.78 cnf(c31, plain, union(powerset(sK30)) != sK30, inference(clausification, [status(esa)], [negated_conjecture])). % 25.03/5.78 cnf(d0, plain, in(X0,singleton(X0)), inference(resolution, [status(thm)], [c24,c26])). % 25.03/5.78 cnf(d1, plain, in(X0,powerset(X1)) | ~subset(X0,X1), inference(equality_resolution, [status(thm)], [c8])). % 25.03/5.78 cnf(d2, plain, X0 != sK30 | in(sK20(powerset(sK30),X0),X0) | 'Ts14'(powerset(sK30),X0,sK20(powerset(sK30),X0)), inference(superposition, [status(thm)], [c19,c31])). % 25.03/5.78 cnf(d3, plain, in(sK20(powerset(sK30),sK30),sK30) | 'Ts14'(powerset(sK30),sK30,sK20(powerset(sK30),sK30)), inference(equality_resolution, [status(thm)], [d2])). % 25.03/5.78 cnf(d4, plain, 'Ts14'(powerset(sK30),sK30,sK20(powerset(sK30),sK30)) | subset(singleton(sK20(powerset(sK30),sK30)),sK30), inference(resolution, [status(thm)], [d3,c25])). % 25.03/5.78 cnf(d5, plain, 'Ts14'(powerset(sK30),sK30,sK20(powerset(sK30),sK30)) | in(singleton(sK20(powerset(sK30),sK30)),powerset(sK30)), inference(resolution, [status(thm)], [d4,d1])). % 25.03/5.78 cnf(d6, plain, 'Ts14'(powerset(sK30),sK30,sK20(powerset(sK30),sK30)) | union(powerset(sK30)) = X0 | ~in(sK20(powerset(sK30),X0),singleton(sK20(powerset(sK30),sK30))) | 'Ts14'(powerset(sK30),X0,sK20(powerset(sK30),X0)), inference(resolution, [status(thm)], [d5,c20])). % 25.03/5.78 cnf(d7, plain, union(powerset(sK30)) = sK30 | 'Ts14'(powerset(sK30),sK30,sK20(powerset(sK30),sK30)) | 'Ts14'(powerset(sK30),sK30,sK20(powerset(sK30),sK30)), inference(resolution, [status(thm)], [d6,d0])). % 25.03/5.78 cnf(d8, plain, 'Ts14'(powerset(sK30),sK30,sK20(powerset(sK30),sK30)), inference(resolution, [status(thm)], [c31,d7])). % 25.03/5.78 cnf(d9, plain, ~in(X0,powerset(X1)) | subset(X0,X1), inference(equality_resolution, [status(thm)], [c7])). % 25.03/5.78 cnf(d10, plain, in(sK22(powerset(sK30),sK20(powerset(sK30),sK30)),powerset(sK30)), inference(resolution, [status(thm)], [d8,c23])). % 25.03/5.78 cnf(d11, plain, subset(sK22(powerset(sK30),sK20(powerset(sK30),sK30)),sK30), inference(resolution, [status(thm)], [d10,d9])). % 25.03/5.78 cnf(d12, plain, in(sK20(powerset(sK30),sK30),sK22(powerset(sK30),sK20(powerset(sK30),sK30))), inference(resolution, [status(thm)], [d8,c22])). % 25.03/5.78 cnf(d13, plain, in(sK20(powerset(sK30),sK30),X0) | ~subset(sK22(powerset(sK30),sK20(powerset(sK30),sK30)),X0), inference(resolution, [status(thm)], [d12,c13])). % 25.03/5.78 cnf(d14, plain, in(sK20(powerset(sK30),sK30),sK30), inference(resolution, [status(thm)], [d13,d11])). % 25.03/5.78 cnf(d15, plain, ~'Ts14'(X0,sK30,sK20(powerset(sK30),sK30)), inference(resolution, [status(thm)], [d14,c21])). % 25.03/5.78 cnf(d16, plain, $false, inference(resolution, [status(thm)], [d15,d8])). % 25.03/5.78 % SZS output end CNFRefutation for theBenchmark.p %------------------------------------------------------------------------------