%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : NUM380+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 : 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 08:12:37 AM UTC 2026
% Result : Theorem 34.79s 9.94s
% Output : CNFRefutation 34.79s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM380+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
% 0.12/5.39 % Computer : n010.cluster.edu
% 0.12/5.39 % Model : x86_64 x86_64
% 0.12/5.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/5.39 % Memory : 8046.5625MB
% 0.12/5.39 % OS : Linux 6.8.0-71-generic
% 0.12/5.39 % CPULimit : 300
% 0.12/5.39 % WCLimit : 300
% 0.12/5.39 % DateTime : Sat Sep 26 02:37:52 UTC 2026
% 0.12/5.39 % CPUTime :
% 0.12/5.39 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 34.79/9.94 % SZS status Theorem for theBenchmark.p
% 34.79/9.94 % SZS output start CNFRefutation for theBenchmark.p
% 34.79/9.94 fof(d2_enumset1, axiom, ! [X0] : ! [X1] : ! [X2] : ! [X3] : ! [X4] : ((X4 = 'unordered$uquadruple'(X0,X1,X2,X3) <=> ! [X5] : ((in(X5,X4) <=> ~((X5 != X0 & (X5 != X1 & (X5 != X2 & X5 != X3))))))))).
% 34.79/9.94 fof(existence_m1_subset_1, axiom, ! [X0] : ? [X1] : element(X1,X0)).
% 34.79/9.94 fof(t2_subset, axiom, ! [X0] : ! [X1] : ((element(X0,X1) => (empty(X1) | in(X0,X1))))).
% 34.79/9.94 fof(t7_boole, axiom, ! [X0] : ! [X1] : ~((in(X0,X1) & empty(X1)))).
% 34.79/9.94 fof(t7_tarski, axiom, ! [X0] : ! [X1] : ~((in(X0,X1) & ! [X2] : ~((in(X2,X1) & ! [X3] : ~((in(X3,X1) & in(X3,X2)))))))).
% 34.79/9.94 fof(t4_ordinal1, conjecture, ! [X0] : ! [X1] : ! [X2] : ! [X3] : ~((in(X0,X1) & (in(X1,X2) & (in(X2,X3) & in(X3,X0)))))).
% 34.79/9.94 fof(negated_conjecture, negated_conjecture, ~! [X0] : ! [X1] : ! [X2] : ! [X3] : ~((in(X0,X1) & (in(X1,X2) & (in(X2,X3) & in(X3,X0))))), inference(negate_conjecture, [status(cth)], [t4_ordinal1])).
% 34.79/9.94 cnf(c6, plain, 'unordered$uquadruple'(X0,X1,X2,X3) != X4 | X5(X0,X1,X2,X3,X4), inference(clausification, [status(esa)], [d2_enumset1])).
% 34.79/9.94 cnf(c9, plain, X0 = X1 | ~in(X1,X2) | X3 = X1 | X4 = X1 | ~X5(X4,X3,X0,X6,X2) | X6 = X1, inference(clausification, [status(esa)], [d2_enumset1])).
% 34.79/9.94 cnf(c10, plain, ~X0(X1,X2,X3,X4,X5) | in(X6,X5) | X1 != X6, inference(clausification, [status(esa)], [d2_enumset1])).
% 34.79/9.94 cnf(c11, plain, ~X0(X1,X2,X3,X4,X5) | in(X6,X5) | X3 != X6, inference(clausification, [status(esa)], [d2_enumset1])).
% 34.79/9.94 cnf(c12, plain, ~X0(X1,X2,X3,X4,X5) | in(X6,X5) | X4 != X6, inference(clausification, [status(esa)], [d2_enumset1])).
% 34.79/9.94 cnf(c13, plain, ~X0(X1,X2,X3,X4,X5) | in(X6,X5) | X2 != X6, inference(clausification, [status(esa)], [d2_enumset1])).
% 34.79/9.94 cnf(c19, plain, element(sK15(X0),X0), inference(clausification, [status(esa)], [existence_m1_subset_1])).
% 34.79/9.94 cnf(c49, plain, ~element(X0,X1) | in(X0,X1) | empty(X1), inference(clausification, [status(esa)], [t2_subset])).
% 34.79/9.94 cnf(c51, plain, ~in(X0,X1) | ~empty(X1), inference(clausification, [status(esa)], [t7_boole])).
% 34.79/9.94 cnf(c52, plain, ~in(X0,X1) | in(sK35(X1),X1), inference(clausification, [status(esa)], [t7_tarski])).
% 34.79/9.94 cnf(c53, plain, ~in(X0,X1) | ~in(X2,X1) | ~in(X2,sK35(X1)), inference(clausification, [status(esa)], [t7_tarski])).
% 34.79/9.94 cnf(c55, plain, in(sK39,sK40), inference(clausification, [status(esa)], [negated_conjecture])).
% 34.79/9.94 cnf(c56, plain, in(sK41,sK42), inference(clausification, [status(esa)], [negated_conjecture])).
% 34.79/9.94 cnf(c57, plain, in(sK42,sK39), inference(clausification, [status(esa)], [negated_conjecture])).
% 34.79/9.94 cnf(c58, plain, in(sK40,sK41), inference(clausification, [status(esa)], [negated_conjecture])).
% 34.79/9.94 cnf(d0, plain, 'Ts5'(X0,X1,X2,X3,'unordered$uquadruple'(X0,X1,X2,X3)), inference(equality_resolution, [status(thm)], [c6])).
% 34.79/9.94 cnf(d1, plain, in(X0,X1) | ~'Ts5'(X2,X3,X0,X4,X1), inference(equality_resolution, [status(thm)], [c11])).
% 34.79/9.94 cnf(d2, plain, in(X0,'unordered$uquadruple'(X1,X2,X0,X3)), inference(resolution, [status(thm)], [d1,d0])).
% 34.79/9.94 cnf(d3, plain, in(X0,X1) | ~'Ts5'(X0,X2,X3,X4,X1), inference(equality_resolution, [status(thm)], [c10])).
% 34.79/9.94 cnf(d4, plain, in(X0,'unordered$uquadruple'(X0,X1,X2,X3)), inference(resolution, [status(thm)], [d3,d0])).
% 34.79/9.94 cnf(d5, plain, ~in(X0,sK35('unordered$uquadruple'(X0,X1,X2,X3))) | ~in(X4,'unordered$uquadruple'(X0,X1,X2,X3)), inference(resolution, [status(thm)], [d4,c53])).
% 34.79/9.94 cnf(d6, plain, ~in(X0,sK35('unordered$uquadruple'(X0,X1,X2,X3))), inference(resolution, [status(thm)], [d5,d2])).
% 34.79/9.94 cnf(d7, plain, in(X0,X1) | ~'Ts5'(X2,X0,X3,X4,X1), inference(equality_resolution, [status(thm)], [c13])).
% 34.79/9.94 cnf(d8, plain, in(X0,'unordered$uquadruple'(X1,X0,X2,X3)), inference(resolution, [status(thm)], [d7,d0])).
% 34.79/9.94 cnf(d9, plain, ~in(X0,sK35('unordered$uquadruple'(X1,X0,X2,X3))) | ~in(X4,'unordered$uquadruple'(X1,X0,X2,X3)), inference(resolution, [status(thm)], [d8,c53])).
% 34.79/9.94 cnf(d10, plain, ~in(X0,sK35('unordered$uquadruple'(X1,X0,X2,X3))), inference(resolution, [status(thm)], [d9,d2])).
% 34.79/9.94 cnf(d11, plain, ~in(X0,sK35('unordered$uquadruple'(X1,X2,X0,X3))) | ~in(X4,'unordered$uquadruple'(X1,X2,X0,X3)), inference(resolution, [status(thm)], [d2,c53])).
% 34.79/9.94 cnf(d12, plain, ~in(X0,sK35('unordered$uquadruple'(X1,X2,X0,X3))), inference(resolution, [status(thm)], [d11,d2])).
% 34.79/9.94 cnf(d13, plain, in(X0,X1) | ~'Ts5'(X2,X3,X4,X0,X1), inference(equality_resolution, [status(thm)], [c12])).
% 34.79/9.94 cnf(d14, plain, in(X0,'unordered$uquadruple'(X1,X2,X3,X0)), inference(resolution, [status(thm)], [d13,d0])).
% 34.79/9.94 cnf(d15, plain, ~in(X0,sK35('unordered$uquadruple'(X1,X2,X3,X0))) | ~in(X4,'unordered$uquadruple'(X1,X2,X3,X0)), inference(resolution, [status(thm)], [d14,c53])).
% 34.79/9.94 cnf(d16, plain, ~in(X0,sK35('unordered$uquadruple'(X1,X2,X3,X0))), inference(resolution, [status(thm)], [d15,d2])).
% 34.79/9.94 cnf(d17, plain, in(sK15(X0),X0) | empty(X0), inference(resolution, [status(thm)], [c49,c19])).
% 34.79/9.94 cnf(d18, plain, empty(X0) | in(sK35(X0),X0), inference(resolution, [status(thm)], [d17,c52])).
% 34.79/9.94 cnf(d19, plain, empty(X0) | X1 = sK35(X0) | X2 = sK35(X0) | X3 = sK35(X0) | X4 = sK35(X0) | ~'Ts5'(X4,X3,X2,X1,X0), inference(resolution, [status(thm)], [d18,c9])).
% 34.79/9.94 cnf(d20, plain, X0 = sK35('unordered$uquadruple'(X0,X1,X2,X3)) | X1 = sK35('unordered$uquadruple'(X0,X1,X2,X3)) | X2 = sK35('unordered$uquadruple'(X0,X1,X2,X3)) | X3 = sK35('unordered$uquadruple'(X0,X1,X2,X3)) | empty('unordered$uquadruple'(X0,X1,X2,X3)), inference(resolution, [status(thm)], [d19,d0])).
% 34.79/9.94 cnf(d21, plain, ~empty('unordered$uquadruple'(X0,X1,X2,X3)), inference(resolution, [status(thm)], [d4,c51])).
% 34.79/9.94 cnf(d22, plain, X0 = sK35('unordered$uquadruple'(X1,X2,X3,X0)) | X3 = sK35('unordered$uquadruple'(X1,X2,X3,X0)) | X2 = sK35('unordered$uquadruple'(X1,X2,X3,X0)) | X1 = sK35('unordered$uquadruple'(X1,X2,X3,X0)), inference(resolution, [status(thm)], [d21,d20])).
% 34.79/9.94 cnf(d23, plain, ~in(X3,X2) | X1 = sK35('unordered$uquadruple'(X0,X1,X2,X3)) | X0 = sK35('unordered$uquadruple'(X0,X1,X2,X3)) | X3 = sK35('unordered$uquadruple'(X0,X1,X2,X3)), inference(superposition, [status(thm)], [d22,d16])).
% 34.79/9.94 cnf(d24, plain, sK42 = sK35('unordered$uquadruple'(X0,X1,sK39,sK42)) | X1 = sK35('unordered$uquadruple'(X0,X1,sK39,sK42)) | X0 = sK35('unordered$uquadruple'(X0,X1,sK39,sK42)), inference(resolution, [status(thm)], [d23,c57])).
% 34.79/9.94 cnf(d25, plain, ~in(sK39,X1) | X0 = sK35('unordered$uquadruple'(X0,X1,sK39,sK42)) | sK42 = sK35('unordered$uquadruple'(X0,X1,sK39,sK42)), inference(superposition, [status(thm)], [d24,d12])).
% 34.79/9.94 cnf(d26, plain, X0 = sK35('unordered$uquadruple'(X0,sK40,sK39,sK42)) | sK42 = sK35('unordered$uquadruple'(X0,sK40,sK39,sK42)), inference(resolution, [status(thm)], [d25,c55])).
% 34.79/9.94 cnf(d27, plain, ~in(sK40,X0) | sK42 = sK35('unordered$uquadruple'(X0,sK40,sK39,sK42)), inference(superposition, [status(thm)], [d26,d10])).
% 34.79/9.94 cnf(d28, plain, sK42 = sK35('unordered$uquadruple'(sK41,sK40,sK39,sK42)), inference(resolution, [status(thm)], [d27,c58])).
% 34.79/9.94 cnf(d29, plain, ~in(sK41,sK42), inference(superposition, [status(thm)], [d28,d6])).
% 34.79/9.94 cnf(d30, plain, $false, inference(resolution, [status(thm)], [c56,d29])).
% 34.79/9.94 % SZS output end CNFRefutation for theBenchmark.p
%------------------------------------------------------------------------------