%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SET951+1 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n001.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 15.22s 2.40s
% Output : CNFRefutation 15.22s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SET951+1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.36 % Computer : n001.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Sat Sep 26 08:32:27 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.36 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 15.22/2.40 % SZS status Theorem for theBenchmark.p
% 15.22/2.40 % SZS output start CNFRefutation for theBenchmark.p
% 15.22/2.40 fof(commutativity_k3_xboole_0, axiom, ! [X0] : ! [X1] : 'set$uintersection2'(X0,X1) = 'set$uintersection2'(X1,X0)).
% 15.22/2.40 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))))))))).
% 15.22/2.40 fof(d3_xboole_0, axiom, ! [X0] : ! [X1] : ! [X2] : ((X2 = 'set$uintersection2'(X0,X1) <=> ! [X3] : ((in(X3,X2) <=> (in(X3,X0) & in(X3,X1))))))).
% 15.22/2.40 fof(t33_zfmisc_1, axiom, ! [X0] : ! [X1] : ! [X2] : ! [X3] : (('ordered$upair'(X0,X1) = 'ordered$upair'(X2,X3) => (X0 = X2 & X1 = X3)))).
% 15.22/2.40 fof(t104_zfmisc_1, conjecture, ! [X0] : ! [X1] : ! [X2] : ! [X3] : ! [X4] : ~((in(X0,'set$uintersection2'('cartesian$uproduct2'(X1,X2),'cartesian$uproduct2'(X3,X4))) & ! [X5] : ! [X6] : ~((X0 = 'ordered$upair'(X5,X6) & (in(X5,'set$uintersection2'(X1,X3)) & in(X6,'set$uintersection2'(X2,X4)))))))).
% 15.22/2.40 fof(negated_conjecture, negated_conjecture, ~! [X0] : ! [X1] : ! [X2] : ! [X3] : ! [X4] : ~((in(X0,'set$uintersection2'('cartesian$uproduct2'(X1,X2),'cartesian$uproduct2'(X3,X4))) & ! [X5] : ! [X6] : ~((X0 = 'ordered$upair'(X5,X6) & (in(X5,'set$uintersection2'(X1,X3)) & in(X6,'set$uintersection2'(X2,X4))))))), inference(negate_conjecture, [status(cth)], [t104_zfmisc_1])).
% 15.22/2.40 cnf(c2, plain, 'set$uintersection2'(X0,X1) = 'set$uintersection2'(X1,X0), inference(clausification, [status(esa)], [commutativity_k3_xboole_0])).
% 15.22/2.40 cnf(c3, plain, X0 != 'cartesian$uproduct2'(X1,X2) | X3(X1,X2,X0), inference(clausification, [status(esa)], [d2_zfmisc_1])).
% 15.22/2.40 cnf(c5, plain, ~X0(X1,X2,X3) | ~in(X4,X3) | in(sK11(X1,X2,X4),X1), inference(clausification, [status(esa)], [d2_zfmisc_1])).
% 15.22/2.40 cnf(c6, plain, ~X0(X1,X2,X3) | ~in(X4,X3) | in(sK12(X1,X2,X4),X2), inference(clausification, [status(esa)], [d2_zfmisc_1])).
% 15.22/2.40 cnf(c7, plain, ~X0(X1,X2,X3) | ~in(X4,X3) | X4 = 'ordered$upair'(sK11(X1,X2,X4),sK12(X1,X2,X4)), inference(clausification, [status(esa)], [d2_zfmisc_1])).
% 15.22/2.40 cnf(c8, plain, X0 != 'ordered$upair'(X1,X2) | in(X0,X3) | ~in(X2,X4) | ~X5(X6,X4,X3) | ~in(X1,X6), inference(clausification, [status(esa)], [d2_zfmisc_1])).
% 15.22/2.40 cnf(c17, plain, X0 != 'set$uintersection2'(X1,X2) | X3(X1,X2,X0), inference(clausification, [status(esa)], [d3_xboole_0])).
% 15.22/2.40 cnf(c19, plain, ~X0(X1,X2,X3) | ~in(X4,X3) | in(X4,X1), inference(clausification, [status(esa)], [d3_xboole_0])).
% 15.22/2.40 cnf(c21, plain, ~X0(X1,X2,X3) | in(X4,X3) | ~in(X4,X1) | ~in(X4,X2), inference(clausification, [status(esa)], [d3_xboole_0])).
% 15.22/2.40 cnf(c33, plain, 'ordered$upair'(X0,X1) != 'ordered$upair'(X2,X3) | X0 = X2, inference(clausification, [status(esa)], [t33_zfmisc_1])).
% 15.22/2.40 cnf(c34, plain, 'ordered$upair'(X0,X1) != 'ordered$upair'(X2,X3) | X1 = X3, inference(clausification, [status(esa)], [t33_zfmisc_1])).
% 15.22/2.40 cnf(c35, plain, in(sK38,'set$uintersection2'('cartesian$uproduct2'(sK39,sK40),'cartesian$uproduct2'(sK41,sK42))), inference(clausification, [status(esa)], [negated_conjecture])).
% 15.22/2.40 cnf(c36, plain, sK38 != 'ordered$upair'(X0,X1) | ~in(X0,'set$uintersection2'(sK39,sK41)) | ~in(X1,'set$uintersection2'(sK40,sK42)), inference(clausification, [status(esa)], [negated_conjecture])).
% 15.22/2.40 cnf(d0, plain, 'Ts20'(X0,X1,'set$uintersection2'(X0,X1)), inference(equality_resolution, [status(thm)], [c17])).
% 15.22/2.40 cnf(d1, plain, 'Ts20'(X0,X1,'set$uintersection2'(X1,X0)), inference(superposition, [status(thm)], [c2,d0])).
% 15.22/2.40 cnf(d2, plain, in(X0,'set$uintersection2'(X1,X2)) | ~in(X0,X2) | ~in(X0,X1), inference(resolution, [status(thm)], [c21,d1])).
% 15.22/2.40 cnf(d3, plain, in(X0,X1) | ~in(X0,'set$uintersection2'(X1,X2)), inference(resolution, [status(thm)], [c19,d0])).
% 15.22/2.40 cnf(d4, plain, in(sK38,'cartesian$uproduct2'(sK39,sK40)), inference(resolution, [status(thm)], [d3,c35])).
% 15.22/2.40 cnf(d5, plain, 'Ts6'(X0,X1,'cartesian$uproduct2'(X0,X1)), inference(equality_resolution, [status(thm)], [c3])).
% 15.22/2.40 cnf(d6, plain, X0 = 'ordered$upair'(sK11(X1,X2,X0),sK12(X1,X2,X0)) | ~in(X0,'cartesian$uproduct2'(X1,X2)), inference(resolution, [status(thm)], [d5,c7])).
% 15.22/2.40 cnf(d7, plain, sK38 = 'ordered$upair'(sK11(sK39,sK40,sK38),sK12(sK39,sK40,sK38)), inference(resolution, [status(thm)], [d6,d4])).
% 15.22/2.40 cnf(d8, plain, sK38 != sK38 | ~in(sK11(sK39,sK40,sK38),'set$uintersection2'(sK39,sK41)) | ~in(sK12(sK39,sK40,sK38),'set$uintersection2'(sK40,sK42)), inference(superposition, [status(thm)], [d7,c36])).
% 15.22/2.40 cnf(d9, plain, ~in(sK11(sK39,sK40,sK38),'set$uintersection2'(sK39,sK41)) | ~in(sK12(sK39,sK40,sK38),'set$uintersection2'(sK40,sK42)), inference(equality_resolution, [status(thm)], [d8])).
% 15.22/2.40 cnf(d10, plain, ~in(sK11(sK39,sK40,sK38),'set$uintersection2'(sK39,sK41)) | ~in(sK12(sK39,sK40,sK38),sK42) | ~in(sK12(sK39,sK40,sK38),sK40), inference(resolution, [status(thm)], [d9,d2])).
% 15.22/2.40 cnf(d11, plain, ~in(X0,'cartesian$uproduct2'(X1,X2)) | in(sK12(X1,X2,X0),X2), inference(resolution, [status(thm)], [d5,c6])).
% 15.22/2.40 cnf(d12, plain, 'ordered$upair'(X0,X1) != sK38 | X1 = sK12(sK39,sK40,sK38), inference(superposition, [status(thm)], [d7,c34])).
% 15.22/2.40 cnf(d13, plain, in(X0,X1) | ~in(X0,'set$uintersection2'(X2,X1)), inference(resolution, [status(thm)], [c19,d1])).
% 15.22/2.40 cnf(d14, plain, in(sK38,'cartesian$uproduct2'(sK41,sK42)), inference(resolution, [status(thm)], [d13,c35])).
% 15.22/2.40 cnf(d15, plain, sK38 = 'ordered$upair'(sK11(sK41,sK42,sK38),sK12(sK41,sK42,sK38)), inference(resolution, [status(thm)], [d6,d14])).
% 15.22/2.40 cnf(d16, plain, sK38 != sK38 | sK12(sK41,sK42,sK38) = sK12(sK39,sK40,sK38), inference(superposition, [status(thm)], [d15,d12])).
% 15.22/2.40 cnf(d17, plain, sK12(sK41,sK42,sK38) = sK12(sK39,sK40,sK38), inference(equality_resolution, [status(thm)], [d16])).
% 15.22/2.40 cnf(d18, plain, in(sK12(sK39,sK40,sK38),sK42) | ~in(sK38,'cartesian$uproduct2'(sK41,sK42)), inference(superposition, [status(thm)], [d17,d11])).
% 15.22/2.40 cnf(d19, plain, in(sK12(sK39,sK40,sK38),sK42), inference(resolution, [status(thm)], [d14,d18])).
% 15.22/2.40 cnf(d20, plain, ~in(sK11(sK39,sK40,sK38),'set$uintersection2'(sK39,sK41)) | ~in(sK12(sK39,sK40,sK38),sK40), inference(resolution, [status(thm)], [d19,d10])).
% 15.22/2.40 cnf(d21, plain, ~in(X0,'cartesian$uproduct2'(X1,X2)) | in(sK11(X1,X2,X0),X1), inference(resolution, [status(thm)], [d5,c5])).
% 15.22/2.40 cnf(d22, plain, 'ordered$upair'(X0,X1) != sK38 | X0 = sK11(sK39,sK40,sK38), inference(superposition, [status(thm)], [d7,c33])).
% 15.22/2.40 cnf(d23, plain, sK38 != sK38 | sK11(sK41,sK42,sK38) = sK11(sK39,sK40,sK38), inference(superposition, [status(thm)], [d15,d22])).
% 15.22/2.40 cnf(d24, plain, sK11(sK41,sK42,sK38) = sK11(sK39,sK40,sK38), inference(equality_resolution, [status(thm)], [d23])).
% 15.22/2.40 cnf(d25, plain, in(sK11(sK39,sK40,sK38),sK41) | ~in(sK38,'cartesian$uproduct2'(sK41,sK42)), inference(superposition, [status(thm)], [d24,d21])).
% 15.22/2.40 cnf(d26, plain, in(sK11(sK39,sK40,sK38),sK41), inference(resolution, [status(thm)], [d14,d25])).
% 15.22/2.40 cnf(d27, plain, ~in(X0,X1) | in('ordered$upair'(X2,X0),X3) | ~in(X2,X4) | ~'Ts6'(X4,X1,X3), inference(equality_resolution, [status(thm)], [c8])).
% 15.22/2.40 cnf(d28, plain, ~in(X0,X1) | ~in(X2,X3) | in('ordered$upair'(X0,X2),'cartesian$uproduct2'(X1,X3)), inference(resolution, [status(thm)], [d27,d5])).
% 15.22/2.40 cnf(d29, plain, in(sK38,'cartesian$uproduct2'(X0,X1)) | ~in(sK12(sK39,sK40,sK38),X1) | ~in(sK11(sK39,sK40,sK38),X0), inference(superposition, [status(thm)], [d7,d28])).
% 15.22/2.40 cnf(d30, plain, ~in(sK11(sK39,sK40,sK38),X0) | in(sK38,'cartesian$uproduct2'(X0,sK40)) | ~in(sK38,'cartesian$uproduct2'(sK39,sK40)), inference(resolution, [status(thm)], [d29,d11])).
% 15.22/2.40 cnf(d31, plain, ~in(sK11(sK39,sK40,sK38),X0) | in(sK38,'cartesian$uproduct2'(X0,sK40)), inference(resolution, [status(thm)], [d4,d30])).
% 15.22/2.40 cnf(d32, plain, in(sK38,'cartesian$uproduct2'(sK41,sK40)), inference(resolution, [status(thm)], [d31,d26])).
% 15.22/2.40 cnf(d33, plain, sK38 = 'ordered$upair'(sK11(sK41,sK40,sK38),sK12(sK41,sK40,sK38)), inference(resolution, [status(thm)], [d32,d6])).
% 15.22/2.40 cnf(d34, plain, sK38 != sK38 | sK12(sK41,sK40,sK38) = sK12(sK39,sK40,sK38), inference(superposition, [status(thm)], [d33,d12])).
% 15.22/2.40 cnf(d35, plain, sK12(sK41,sK40,sK38) = sK12(sK39,sK40,sK38), inference(equality_resolution, [status(thm)], [d34])).
% 15.22/2.40 cnf(d36, plain, in(sK12(sK39,sK40,sK38),sK40) | ~in(sK38,'cartesian$uproduct2'(sK41,sK40)), inference(superposition, [status(thm)], [d35,d11])).
% 15.22/2.40 cnf(d37, plain, in(sK12(sK39,sK40,sK38),sK40), inference(resolution, [status(thm)], [d32,d36])).
% 15.22/2.40 cnf(d38, plain, ~in(sK11(sK39,sK40,sK38),'set$uintersection2'(sK39,sK41)), inference(resolution, [status(thm)], [d37,d20])).
% 15.22/2.40 cnf(d39, plain, ~in(sK11(sK39,sK40,sK38),sK41) | ~in(sK11(sK39,sK40,sK38),sK39), inference(resolution, [status(thm)], [d38,d2])).
% 15.22/2.40 cnf(d40, plain, ~in(sK11(sK39,sK40,sK38),sK39), inference(resolution, [status(thm)], [d26,d39])).
% 15.22/2.40 cnf(d41, plain, sK38 != 'ordered$upair'(X0,X1) | sK11(sK39,sK40,sK38) = X0, inference(superposition, [status(thm)], [d7,c33])).
% 15.22/2.40 cnf(d42, plain, ~in(sK11(sK39,sK40,sK38),X0) | in(sK38,'cartesian$uproduct2'(X0,sK42)), inference(resolution, [status(thm)], [d29,d19])).
% 15.22/2.40 cnf(d43, plain, in(sK38,'cartesian$uproduct2'(sK39,sK42)) | ~in(sK38,'cartesian$uproduct2'(sK39,sK40)), inference(resolution, [status(thm)], [d42,d21])).
% 15.22/2.40 cnf(d44, plain, in(sK38,'cartesian$uproduct2'(sK39,sK42)), inference(resolution, [status(thm)], [d4,d43])).
% 15.22/2.40 cnf(d45, plain, sK38 = 'ordered$upair'(sK11(sK39,sK42,sK38),sK12(sK39,sK42,sK38)), inference(resolution, [status(thm)], [d44,d6])).
% 15.22/2.40 cnf(d46, plain, sK38 != sK38 | sK11(sK39,sK40,sK38) = sK11(sK39,sK42,sK38), inference(superposition, [status(thm)], [d45,d41])).
% 15.22/2.40 cnf(d47, plain, sK11(sK39,sK40,sK38) = sK11(sK39,sK42,sK38), inference(equality_resolution, [status(thm)], [d46])).
% 15.22/2.40 cnf(d48, plain, in(sK11(sK39,sK40,sK38),sK39) | ~in(sK38,'cartesian$uproduct2'(sK39,sK42)), inference(superposition, [status(thm)], [d47,d21])).
% 15.22/2.40 cnf(d49, plain, in(sK11(sK39,sK40,sK38),sK39), inference(resolution, [status(thm)], [d44,d48])).
% 15.22/2.40 cnf(d50, plain, $false, inference(resolution, [status(thm)], [d49,d40])).
% 15.22/2.40 % SZS output end CNFRefutation for theBenchmark.p
%------------------------------------------------------------------------------