%------------------------------------------------------------------------------ % File : LisaST---0.9 % Problem : SEU168+3 : 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 : n013.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 08:41:08 AM UTC 2026 % Result : Theorem 41.58s 10.29s % Output : CNFRefutation 41.58s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.04 % Problem : SEU168+3 : TPTP v9.3.1. Released v3.2.0. % 0.00/0.06 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p % 0.17/0.44 % Computer : n013.cluster.edu % 0.17/0.44 % Model : x86_64 x86_64 % 0.17/0.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.44 % Memory : 8046.5625MB % 0.17/0.44 % OS : Linux 6.8.0-71-generic % 0.17/0.44 % CPULimit : 300 % 0.17/0.44 % WCLimit : 300 % 0.17/0.44 % DateTime : Sat Sep 26 08:43:40 UTC 2026 % 0.17/0.44 % CPUTime : % 0.17/0.44 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p % 41.58/10.29 % SZS status Theorem for theBenchmark.p % 41.58/10.29 % SZS output start CNFRefutation for theBenchmark.p % 41.58/10.29 fof(d1_zfmisc_1, axiom, ! [X0] : ! [X1] : ((X1 = powerset(X0) <=> ! [X2] : ((in(X2,X1) <=> subset(X2,X0)))))). % 41.58/10.29 fof(d3_tarski, axiom, ! [X0] : ! [X1] : ((subset(X0,X1) <=> ! [X2] : ((in(X2,X0) => in(X2,X1)))))). % 41.58/10.29 fof(t9_tarski, axiom, ! [X0] : ? [X1] : ((in(X0,X1) & (! [X2] : ! [X3] : (((in(X2,X1) & subset(X3,X2)) => in(X3,X1))) & (! [X2] : ~((in(X2,X1) & ! [X3] : ~((in(X3,X1) & ! [X4] : ((subset(X4,X2) => in(X4,X3))))))) & ! [X2] : ~((subset(X2,X1) & (~'are$uequipotent'(X2,X1) & ~in(X2,X1))))))))). % 41.58/10.29 fof(t136_zfmisc_1, conjecture, ! [X0] : ? [X1] : ((in(X0,X1) & (! [X2] : ! [X3] : (((in(X2,X1) & subset(X3,X2)) => in(X3,X1))) & (! [X2] : ((in(X2,X1) => in(powerset(X2),X1))) & ! [X2] : ~((subset(X2,X1) & (~'are$uequipotent'(X2,X1) & ~in(X2,X1))))))))). % 41.58/10.29 fof(negated_conjecture, negated_conjecture, ~! [X0] : ? [X1] : ((in(X0,X1) & (! [X2] : ! [X3] : (((in(X2,X1) & subset(X3,X2)) => in(X3,X1))) & (! [X2] : ((in(X2,X1) => in(powerset(X2),X1))) & ! [X2] : ~((subset(X2,X1) & (~'are$uequipotent'(X2,X1) & ~in(X2,X1)))))))), inference(negate_conjecture, [status(cth)], [t136_zfmisc_1])). % 41.58/10.29 cnf(c1, plain, powerset(X0) != X1 | ~in(X2,X1) | subset(X2,X0), inference(clausification, [status(esa)], [d1_zfmisc_1])). % 41.58/10.29 cnf(c8, plain, subset(X0,X1) | in(sK9(X0,X1),X0), inference(clausification, [status(esa)], [d3_tarski])). % 41.58/10.29 cnf(c9, plain, subset(X0,X1) | ~in(sK9(X0,X1),X1), inference(clausification, [status(esa)], [d3_tarski])). % 41.58/10.29 cnf(c13, plain, in(X0,sK15(X0)), inference(clausification, [status(esa)], [t9_tarski])). % 41.58/10.29 cnf(c14, plain, ~in(X0,sK15(X1)) | in(sK17(X1,X0),sK15(X1)), inference(clausification, [status(esa)], [t9_tarski])). % 41.58/10.29 cnf(c15, plain, ~in(X0,sK15(X1)) | ~subset(X2,X0) | in(X2,sK17(X1,X0)), inference(clausification, [status(esa)], [t9_tarski])). % 41.58/10.29 cnf(c16, plain, ~subset(X0,sK15(X1)) | in(X0,sK15(X1)) | 'are$uequipotent'(X0,sK15(X1)), inference(clausification, [status(esa)], [t9_tarski])). % 41.58/10.29 cnf(c17, plain, ~subset(X0,X1) | ~in(X1,sK15(X2)) | in(X0,sK15(X2)), inference(clausification, [status(esa)], [t9_tarski])). % 41.58/10.29 cnf(c18, plain, ~in(sK24,X0) | in(sK26(X0),X0) | X1(X0) | X2(X0), inference(clausification, [status(esa)], [negated_conjecture])). % 41.58/10.29 cnf(c19, plain, ~in(sK24,X0) | ~in(powerset(sK26(X0)),X0) | X1(X0) | X2(X0), inference(clausification, [status(esa)], [negated_conjecture])). % 41.58/10.29 cnf(c20, plain, ~X0(X1) | subset(sK27(X1),X1), inference(clausification, [status(esa)], [negated_conjecture])). % 41.58/10.29 cnf(c21, plain, ~X0(X1) | ~in(sK27(X1),X1), inference(clausification, [status(esa)], [negated_conjecture])). % 41.58/10.29 cnf(c22, plain, ~X0(X1) | ~'are$uequipotent'(sK27(X1),X1), inference(clausification, [status(esa)], [negated_conjecture])). % 41.58/10.29 cnf(c23, plain, ~X0(X1) | subset(sK29(X1),sK28(X1)), inference(clausification, [status(esa)], [negated_conjecture])). % 41.58/10.29 cnf(c24, plain, ~X0(X1) | in(sK28(X1),X1), inference(clausification, [status(esa)], [negated_conjecture])). % 41.58/10.29 cnf(c25, plain, ~X0(X1) | ~in(sK29(X1),X1), inference(clausification, [status(esa)], [negated_conjecture])). % 41.58/10.29 cnf(d0, plain, in(sK26(sK15(sK24)),sK15(sK24)) | 'Ts23'(sK15(sK24)) | 'Ts22'(sK15(sK24)), inference(resolution, [status(thm)], [c13,c18])). % 41.58/10.29 cnf(d1, plain, in(sK17(sK24,sK26(sK15(sK24))),sK15(sK24)) | 'Ts23'(sK15(sK24)) | 'Ts22'(sK15(sK24)), inference(resolution, [status(thm)], [c14,d0])). % 41.58/10.29 cnf(d2, plain, in(X0,sK15(sK24)) | ~subset(X0,sK17(sK24,sK26(sK15(sK24)))) | 'Ts23'(sK15(sK24)) | 'Ts22'(sK15(sK24)), inference(resolution, [status(thm)], [c17,d1])). % 41.58/10.29 cnf(d3, plain, in(X0,sK17(sK24,sK26(sK15(sK24)))) | ~subset(X0,sK26(sK15(sK24))) | 'Ts23'(sK15(sK24)) | 'Ts22'(sK15(sK24)), inference(resolution, [status(thm)], [c15,d0])). % 41.58/10.29 cnf(d4, plain, ~in(X0,powerset(X1)) | subset(X0,X1), inference(equality_resolution, [status(thm)], [c1])). % 41.58/10.29 cnf(d5, plain, subset(sK9(powerset(X0),X1),X0) | subset(powerset(X0),X1), inference(resolution, [status(thm)], [d4,c8])). % 41.58/10.29 cnf(d6, plain, subset(sK9(powerset(X0),sK17(sK24,sK26(sK15(sK24)))),X0) | in(powerset(X0),sK15(sK24)) | 'Ts23'(sK15(sK24)) | 'Ts22'(sK15(sK24)), inference(resolution, [status(thm)], [d5,d2])). % 41.58/10.29 cnf(d7, plain, subset(sK9(powerset(sK26(sK15(sK24))),sK17(sK24,sK26(sK15(sK24)))),sK26(sK15(sK24))) | 'Ts23'(sK15(sK24)) | 'Ts22'(sK15(sK24)) | ~in(sK24,sK15(sK24)) | 'Ts23'(sK15(sK24)) | 'Ts22'(sK15(sK24)), inference(resolution, [status(thm)], [d6,c19])). % 41.58/10.29 cnf(d8, plain, subset(sK9(powerset(sK26(sK15(sK24))),sK17(sK24,sK26(sK15(sK24)))),sK26(sK15(sK24))) | 'Ts23'(sK15(sK24)) | 'Ts22'(sK15(sK24)), inference(resolution, [status(thm)], [c13,d7])). % 41.58/10.29 cnf(d9, plain, 'Ts23'(sK15(sK24)) | 'Ts22'(sK15(sK24)) | in(sK9(powerset(sK26(sK15(sK24))),sK17(sK24,sK26(sK15(sK24)))),sK17(sK24,sK26(sK15(sK24)))) | 'Ts23'(sK15(sK24)) | 'Ts22'(sK15(sK24)), inference(resolution, [status(thm)], [d8,d3])). % 41.58/10.29 cnf(d10, plain, 'Ts23'(sK15(sK24)) | 'Ts22'(sK15(sK24)) | subset(powerset(sK26(sK15(sK24))),sK17(sK24,sK26(sK15(sK24)))), inference(resolution, [status(thm)], [d9,c9])). % 41.58/10.29 cnf(d11, plain, 'Ts23'(sK15(sK24)) | 'Ts22'(sK15(sK24)) | in(powerset(sK26(sK15(sK24))),sK15(sK24)) | 'Ts23'(sK15(sK24)) | 'Ts22'(sK15(sK24)), inference(resolution, [status(thm)], [d10,d2])). % 41.58/10.29 cnf(d12, plain, 'Ts23'(sK15(sK24)) | 'Ts22'(sK15(sK24)) | ~in(sK24,sK15(sK24)) | 'Ts23'(sK15(sK24)) | 'Ts22'(sK15(sK24)), inference(resolution, [status(thm)], [d11,c19])). % 41.58/10.29 cnf(d13, plain, 'Ts23'(sK15(sK24)) | 'Ts22'(sK15(sK24)), inference(resolution, [status(thm)], [c13,d12])). % 41.58/10.29 cnf(d14, plain, 'Ts22'(sK15(sK24)) | subset(sK29(sK15(sK24)),sK28(sK15(sK24))), inference(resolution, [status(thm)], [d13,c23])). % 41.58/10.29 cnf(d15, plain, 'Ts22'(sK15(sK24)) | in(sK28(sK15(sK24)),sK15(sK24)), inference(resolution, [status(thm)], [d13,c24])). % 41.58/10.29 cnf(d16, plain, 'Ts22'(sK15(sK24)) | in(X0,sK15(sK24)) | ~subset(X0,sK28(sK15(sK24))), inference(resolution, [status(thm)], [d15,c17])). % 41.58/10.29 cnf(d17, plain, in(sK29(sK15(sK24)),sK15(sK24)) | 'Ts22'(sK15(sK24)) | 'Ts22'(sK15(sK24)), inference(resolution, [status(thm)], [d16,d14])). % 41.58/10.29 cnf(d18, plain, 'Ts22'(sK15(sK24)) | ~'Ts23'(sK15(sK24)), inference(resolution, [status(thm)], [d17,c25])). % 41.58/10.29 cnf(d19, plain, 'Ts22'(sK15(sK24)) | 'Ts22'(sK15(sK24)), inference(resolution, [status(thm)], [d18,d13])). % 41.58/10.29 cnf(d20, plain, subset(sK27(sK15(sK24)),sK15(sK24)), inference(resolution, [status(thm)], [d19,c20])). % 41.58/10.29 cnf(d21, plain, in(sK27(sK15(sK24)),sK15(sK24)) | 'are$uequipotent'(sK27(sK15(sK24)),sK15(sK24)), inference(resolution, [status(thm)], [d20,c16])). % 41.58/10.29 cnf(d22, plain, 'are$uequipotent'(sK27(sK15(sK24)),sK15(sK24)) | ~'Ts22'(sK15(sK24)), inference(resolution, [status(thm)], [d21,c21])). % 41.58/10.29 cnf(d23, plain, 'are$uequipotent'(sK27(sK15(sK24)),sK15(sK24)), inference(resolution, [status(thm)], [d19,d22])). % 41.58/10.29 cnf(d24, plain, ~'Ts22'(sK15(sK24)), inference(resolution, [status(thm)], [d23,c22])). % 41.58/10.29 cnf(d25, plain, $false, inference(resolution, [status(thm)], [d19,d24])). % 41.58/10.29 % SZS output end CNFRefutation for theBenchmark.p %------------------------------------------------------------------------------