%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SET894+1 : TPTP v9.3.1. Bugfixed v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n008.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 08:33:31 AM UTC 2026
% Result : Theorem 43.84s 11.15s
% Output : CNFRefutation 43.84s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SET894+1 : TPTP v9.3.1. Bugfixed v4.0.0.
% 0.00/0.06 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.15/5.44 % Computer : n008.cluster.edu
% 0.15/5.44 % Model : x86_64 x86_64
% 0.15/5.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/5.44 % Memory : 8046.5625MB
% 0.15/5.44 % OS : Linux 6.8.0-71-generic
% 0.15/5.44 % CPULimit : 300
% 0.15/5.44 % WCLimit : 300
% 0.15/5.44 % DateTime : Sat Sep 26 08:25:31 UTC 2026
% 0.15/5.44 % CPUTime :
% 0.15/5.44 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 43.84/11.15 % SZS status Theorem for theBenchmark.p
% 43.84/11.15 % SZS output start CNFRefutation for theBenchmark.p
% 43.84/11.15 fof(d1_tarski, axiom, ! [X0] : ! [X1] : ((X1 = singleton(X0) <=> ! [X2] : ((in(X2,X1) <=> X2 = X0))))).
% 43.84/11.15 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))))))))).
% 43.84/11.15 fof(t35_zfmisc_1, conjecture, ! [X0] : ! [X1] : 'cartesian$uproduct2'(singleton(X0),singleton(X1)) = singleton('ordered$upair'(X0,X1))).
% 43.84/11.15 fof(negated_conjecture, negated_conjecture, ~! [X0] : ! [X1] : 'cartesian$uproduct2'(singleton(X0),singleton(X1)) = singleton('ordered$upair'(X0,X1)), inference(negate_conjecture, [status(cth)], [t35_zfmisc_1])).
% 43.84/11.15 cnf(c2, plain, singleton(X0) != X1 | ~in(X2,X1) | X0 = X2, inference(clausification, [status(esa)], [d1_tarski])).
% 43.84/11.15 cnf(c3, plain, singleton(X0) != X1 | in(X2,X1) | X0 != X2, inference(clausification, [status(esa)], [d1_tarski])).
% 43.84/11.15 cnf(c12, plain, 'cartesian$uproduct2'(X0,X1) = X2 | in(sK17(X0,X1,X2),X2) | X3(X0,X1,X2,sK17(X0,X1,X2)), inference(clausification, [status(esa)], [d2_zfmisc_1])).
% 43.84/11.15 cnf(c13, plain, 'cartesian$uproduct2'(X0,X1) = X2 | ~in(X3,X1) | ~in(X4,X0) | 'ordered$upair'(X4,X3) != sK17(X0,X1,X2) | X5(X0,X1,X2,sK17(X0,X1,X2)), inference(clausification, [status(esa)], [d2_zfmisc_1])).
% 43.84/11.15 cnf(c14, plain, ~X0(X1,X2,X3,X4) | ~in(X4,X3), inference(clausification, [status(esa)], [d2_zfmisc_1])).
% 43.84/11.15 cnf(c15, plain, ~X0(X1,X2,X3,X4) | in(sK20(X1,X2,X4),X1), inference(clausification, [status(esa)], [d2_zfmisc_1])).
% 43.84/11.15 cnf(c16, plain, ~X0(X1,X2,X3,X4) | 'ordered$upair'(sK20(X1,X2,X4),sK21(X1,X2,X4)) = X4, inference(clausification, [status(esa)], [d2_zfmisc_1])).
% 43.84/11.15 cnf(c17, plain, ~X0(X1,X2,X3,X4) | in(sK21(X1,X2,X4),X2), inference(clausification, [status(esa)], [d2_zfmisc_1])).
% 43.84/11.15 cnf(c29, plain, singleton('ordered$upair'(sK35,sK36)) != 'cartesian$uproduct2'(singleton(sK35),singleton(sK36)), inference(clausification, [status(esa)], [negated_conjecture])).
% 43.84/11.15 cnf(d0, plain, X0 = X1 | ~in(X1,singleton(X0)), inference(equality_resolution, [status(thm)], [c2])).
% 43.84/11.15 cnf(d1, plain, singleton(X0) != X1 | in(X0,X1), inference(equality_resolution, [status(thm)], [c3])).
% 43.84/11.15 cnf(d2, plain, in(X0,singleton(X0)), inference(equality_resolution, [status(thm)], [d1])).
% 43.84/11.15 cnf(d3, plain, singleton('ordered$upair'(sK35,sK36)) != X0 | in(sK17(singleton(sK35),singleton(sK36),X0),X0) | 'Ts8'(singleton(sK35),singleton(sK36),X0,sK17(singleton(sK35),singleton(sK36),X0)), inference(superposition, [status(thm)], [c12,c29])).
% 43.84/11.15 cnf(d4, plain, in(sK17(singleton(sK35),singleton(sK36),singleton('ordered$upair'(sK35,sK36))),singleton('ordered$upair'(sK35,sK36))) | 'Ts8'(singleton(sK35),singleton(sK36),singleton('ordered$upair'(sK35,sK36)),sK17(singleton(sK35),singleton(sK36),singleton('ordered$upair'(sK35,sK36)))), inference(equality_resolution, [status(thm)], [d3])).
% 43.84/11.15 cnf(d5, plain, 'Ts8'(singleton(sK35),singleton(sK36),singleton('ordered$upair'(sK35,sK36)),sK17(singleton(sK35),singleton(sK36),singleton('ordered$upair'(sK35,sK36)))) | 'ordered$upair'(sK35,sK36) = sK17(singleton(sK35),singleton(sK36),singleton('ordered$upair'(sK35,sK36))), inference(resolution, [status(thm)], [d4,d0])).
% 43.84/11.15 cnf(d6, plain, 'ordered$upair'(X0,X1) != 'ordered$upair'(sK35,sK36) | 'cartesian$uproduct2'(singleton(sK35),singleton(sK36)) = singleton('ordered$upair'(sK35,sK36)) | ~in(X1,singleton(sK36)) | ~in(X0,singleton(sK35)) | 'Ts8'(singleton(sK35),singleton(sK36),singleton('ordered$upair'(sK35,sK36)),sK17(singleton(sK35),singleton(sK36),singleton('ordered$upair'(sK35,sK36)))) | 'Ts8'(singleton(sK35),singleton(sK36),singleton('ordered$upair'(sK35,sK36)),sK17(singleton(sK35),singleton(sK36),singleton('ordered$upair'(sK35,sK36)))), inference(superposition, [status(thm)], [d5,c13])).
% 43.84/11.15 cnf(d7, plain, 'cartesian$uproduct2'(singleton(sK35),singleton(sK36)) = singleton('ordered$upair'(sK35,sK36)) | ~in(sK36,singleton(sK36)) | ~in(sK35,singleton(sK35)) | 'Ts8'(singleton(sK35),singleton(sK36),singleton('ordered$upair'(sK35,sK36)),sK17(singleton(sK35),singleton(sK36),singleton('ordered$upair'(sK35,sK36)))), inference(equality_resolution, [status(thm)], [d6])).
% 43.84/11.15 cnf(d8, plain, 'cartesian$uproduct2'(singleton(sK35),singleton(sK36)) = singleton('ordered$upair'(sK35,sK36)) | ~in(sK36,singleton(sK36)) | 'Ts8'(singleton(sK35),singleton(sK36),singleton('ordered$upair'(sK35,sK36)),sK17(singleton(sK35),singleton(sK36),singleton('ordered$upair'(sK35,sK36)))), inference(resolution, [status(thm)], [d2,d7])).
% 43.84/11.15 cnf(d9, plain, 'cartesian$uproduct2'(singleton(sK35),singleton(sK36)) = singleton('ordered$upair'(sK35,sK36)) | 'Ts8'(singleton(sK35),singleton(sK36),singleton('ordered$upair'(sK35,sK36)),sK17(singleton(sK35),singleton(sK36),singleton('ordered$upair'(sK35,sK36)))), inference(resolution, [status(thm)], [d8,d2])).
% 43.84/11.15 cnf(d10, plain, singleton('ordered$upair'(sK35,sK36)) != singleton('ordered$upair'(sK35,sK36)) | 'Ts8'(singleton(sK35),singleton(sK36),singleton('ordered$upair'(sK35,sK36)),sK17(singleton(sK35),singleton(sK36),singleton('ordered$upair'(sK35,sK36)))), inference(superposition, [status(thm)], [d9,c29])).
% 43.84/11.15 cnf(d11, plain, 'Ts8'(singleton(sK35),singleton(sK36),singleton('ordered$upair'(sK35,sK36)),sK17(singleton(sK35),singleton(sK36),singleton('ordered$upair'(sK35,sK36)))), inference(equality_resolution, [status(thm)], [d10])).
% 43.84/11.15 cnf(d12, plain, in(sK21(singleton(sK35),singleton(sK36),sK17(singleton(sK35),singleton(sK36),singleton('ordered$upair'(sK35,sK36)))),singleton(sK36)), inference(resolution, [status(thm)], [d11,c17])).
% 43.84/11.15 cnf(d13, plain, sK36 = sK21(singleton(sK35),singleton(sK36),sK17(singleton(sK35),singleton(sK36),singleton('ordered$upair'(sK35,sK36)))), inference(resolution, [status(thm)], [d12,d0])).
% 43.84/11.15 cnf(d14, plain, in(sK20(singleton(sK35),singleton(sK36),sK17(singleton(sK35),singleton(sK36),singleton('ordered$upair'(sK35,sK36)))),singleton(sK35)), inference(resolution, [status(thm)], [d11,c15])).
% 43.84/11.15 cnf(d15, plain, sK35 = sK20(singleton(sK35),singleton(sK36),sK17(singleton(sK35),singleton(sK36),singleton('ordered$upair'(sK35,sK36)))), inference(resolution, [status(thm)], [d14,d0])).
% 43.84/11.15 cnf(d16, plain, 'ordered$upair'(sK20(singleton(sK35),singleton(sK36),sK17(singleton(sK35),singleton(sK36),singleton('ordered$upair'(sK35,sK36)))),sK21(singleton(sK35),singleton(sK36),sK17(singleton(sK35),singleton(sK36),singleton('ordered$upair'(sK35,sK36))))) = sK17(singleton(sK35),singleton(sK36),singleton('ordered$upair'(sK35,sK36))), inference(resolution, [status(thm)], [d11,c16])).
% 43.84/11.15 cnf(d17, plain, 'ordered$upair'(sK35,sK21(singleton(sK35),singleton(sK36),sK17(singleton(sK35),singleton(sK36),singleton('ordered$upair'(sK35,sK36))))) = sK17(singleton(sK35),singleton(sK36),singleton('ordered$upair'(sK35,sK36))), inference(demodulation, [status(thm)], [d16,d15])).
% 43.84/11.15 cnf(d18, plain, 'ordered$upair'(sK35,sK36) = sK17(singleton(sK35),singleton(sK36),singleton('ordered$upair'(sK35,sK36))), inference(demodulation, [status(thm)], [d17,d13])).
% 43.84/11.15 cnf(d19, plain, 'Ts8'(singleton(sK35),singleton(sK36),singleton('ordered$upair'(sK35,sK36)),'ordered$upair'(sK35,sK36)), inference(demodulation, [status(thm)], [d11,d18])).
% 43.84/11.15 cnf(d20, plain, ~'Ts8'(X0,X1,singleton(X2),X2), inference(resolution, [status(thm)], [c14,d2])).
% 43.84/11.15 cnf(d21, plain, $false, inference(resolution, [status(thm)], [d20,d19])).
% 43.84/11.15 % SZS output end CNFRefutation for theBenchmark.p
%------------------------------------------------------------------------------