%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SET936+1 : TPTP v9.3.1. Bugfixed v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n026.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 08:33:36 AM UTC 2026
% Result : Theorem 11.20s 43.05s
% Output : CNFRefutation 11.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET936+1 : TPTP v9.3.1. Bugfixed v4.0.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.35 % Computer : n026.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Sat Sep 26 08:29:25 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.36 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 11.20/43.05 % SZS status Theorem for theBenchmark.p
% 11.20/43.05 % SZS output start CNFRefutation for theBenchmark.p
% 11.20/43.05 fof(commutativity_k3_xboole_0, axiom, ! [X0] : ! [X1] : 'set$uintersection2'(X0,X1) = 'set$uintersection2'(X1,X0)).
% 11.20/43.05 fof(d1_zfmisc_1, axiom, ! [X0] : ! [X1] : ((X1 = powerset(X0) <=> ! [X2] : ((in(X2,X1) <=> subset(X2,X0)))))).
% 11.20/43.05 fof(d3_xboole_0, axiom, ! [X0] : ! [X1] : ! [X2] : ((X2 = 'set$uintersection2'(X0,X1) <=> ! [X3] : ((in(X3,X2) <=> (in(X3,X0) & in(X3,X1))))))).
% 11.20/43.05 fof(t17_xboole_1, axiom, ! [X0] : ! [X1] : subset('set$uintersection2'(X0,X1),X0)).
% 11.20/43.05 fof(t19_xboole_1, axiom, ! [X0] : ! [X1] : ! [X2] : (((subset(X0,X1) & subset(X0,X2)) => subset(X0,'set$uintersection2'(X1,X2))))).
% 11.20/43.05 fof(t1_xboole_1, axiom, ! [X0] : ! [X1] : ! [X2] : (((subset(X0,X1) & subset(X1,X2)) => subset(X0,X2)))).
% 11.20/43.05 fof(t83_zfmisc_1, conjecture, ! [X0] : ! [X1] : powerset('set$uintersection2'(X0,X1)) = 'set$uintersection2'(powerset(X0),powerset(X1))).
% 11.20/43.05 fof(negated_conjecture, negated_conjecture, ~! [X0] : ! [X1] : powerset('set$uintersection2'(X0,X1)) = 'set$uintersection2'(powerset(X0),powerset(X1)), inference(negate_conjecture, [status(cth)], [t83_zfmisc_1])).
% 11.20/43.05 cnf(c1, plain, 'set$uintersection2'(X0,X1) = 'set$uintersection2'(X1,X0), inference(clausification, [status(esa)], [commutativity_k3_xboole_0])).
% 11.20/43.05 cnf(c2, plain, powerset(X0) != X1 | ~in(X2,X1) | subset(X2,X0), inference(clausification, [status(esa)], [d1_zfmisc_1])).
% 11.20/43.05 cnf(c3, plain, powerset(X0) != X1 | in(X2,X1) | ~subset(X2,X0), inference(clausification, [status(esa)], [d1_zfmisc_1])).
% 11.20/43.05 cnf(c11, plain, 'set$uintersection2'(X0,X1) = X2 | in(sK13(X0,X1,X2),X2) | X3(X0,X1,X2,sK13(X0,X1,X2)), inference(clausification, [status(esa)], [d3_xboole_0])).
% 11.20/43.05 cnf(c12, plain, 'set$uintersection2'(X0,X1) = X2 | ~in(sK13(X0,X1,X2),X0) | ~in(sK13(X0,X1,X2),X1) | X3(X0,X1,X2,sK13(X0,X1,X2)), inference(clausification, [status(esa)], [d3_xboole_0])).
% 11.20/43.05 cnf(c13, plain, ~X0(X1,X2,X3,X4) | ~in(X4,X3), inference(clausification, [status(esa)], [d3_xboole_0])).
% 11.20/43.05 cnf(c14, plain, ~X0(X1,X2,X3,X4) | in(X4,X2), inference(clausification, [status(esa)], [d3_xboole_0])).
% 11.20/43.05 cnf(c15, plain, ~X0(X1,X2,X3,X4) | in(X4,X1), inference(clausification, [status(esa)], [d3_xboole_0])).
% 11.20/43.05 cnf(c20, plain, subset('set$uintersection2'(X0,X1),X0), inference(clausification, [status(esa)], [t17_xboole_1])).
% 11.20/43.05 cnf(c21, plain, ~subset(X0,X1) | ~subset(X0,X2) | subset(X0,'set$uintersection2'(X2,X1)), inference(clausification, [status(esa)], [t19_xboole_1])).
% 11.20/43.05 cnf(c22, plain, ~subset(X0,X1) | ~subset(X2,X0) | subset(X2,X1), inference(clausification, [status(esa)], [t1_xboole_1])).
% 11.20/43.05 cnf(c27, plain, 'set$uintersection2'(powerset(sK31),powerset(sK32)) != powerset('set$uintersection2'(sK31,sK32)), inference(clausification, [status(esa)], [negated_conjecture])).
% 11.20/43.05 cnf(d0, plain, in(X0,powerset(X1)) | ~subset(X0,X1), inference(equality_resolution, [status(thm)], [c3])).
% 11.20/43.05 cnf(d1, plain, subset(X0,X1) | ~subset(X0,'set$uintersection2'(X1,X2)), inference(resolution, [status(thm)], [c22,c20])).
% 11.20/43.05 cnf(d2, plain, ~in(X0,powerset(X1)) | subset(X0,X1), inference(equality_resolution, [status(thm)], [c2])).
% 11.20/43.05 cnf(d3, plain, X0 != powerset('set$uintersection2'(sK31,sK32)) | in(sK13(powerset(sK31),powerset(sK32),X0),X0) | 'Ts8'(powerset(sK31),powerset(sK32),X0,sK13(powerset(sK31),powerset(sK32),X0)), inference(superposition, [status(thm)], [c11,c27])).
% 11.20/43.05 cnf(d4, plain, in(sK13(powerset(sK31),powerset(sK32),powerset('set$uintersection2'(sK31,sK32))),powerset('set$uintersection2'(sK31,sK32))) | 'Ts8'(powerset(sK31),powerset(sK32),powerset('set$uintersection2'(sK31,sK32)),sK13(powerset(sK31),powerset(sK32),powerset('set$uintersection2'(sK31,sK32)))), inference(equality_resolution, [status(thm)], [d3])).
% 11.20/43.05 cnf(d5, plain, 'Ts8'(powerset(sK31),powerset(sK32),powerset('set$uintersection2'(sK31,sK32)),sK13(powerset(sK31),powerset(sK32),powerset('set$uintersection2'(sK31,sK32)))) | subset(sK13(powerset(sK31),powerset(sK32),powerset('set$uintersection2'(sK31,sK32))),'set$uintersection2'(sK31,sK32)), inference(resolution, [status(thm)], [d4,d2])).
% 11.20/43.05 cnf(d6, plain, 'Ts8'(powerset(sK31),powerset(sK32),powerset('set$uintersection2'(sK31,sK32)),sK13(powerset(sK31),powerset(sK32),powerset('set$uintersection2'(sK31,sK32)))) | subset(sK13(powerset(sK31),powerset(sK32),powerset('set$uintersection2'(sK31,sK32))),sK31), inference(resolution, [status(thm)], [d5,d1])).
% 11.20/43.05 cnf(d7, plain, 'Ts8'(powerset(sK31),powerset(sK32),powerset('set$uintersection2'(sK31,sK32)),sK13(powerset(sK31),powerset(sK32),powerset('set$uintersection2'(sK31,sK32)))) | in(sK13(powerset(sK31),powerset(sK32),powerset('set$uintersection2'(sK31,sK32))),powerset(sK31)), inference(resolution, [status(thm)], [d6,d0])).
% 11.20/43.05 cnf(d8, plain, subset('set$uintersection2'(X1,X0),X0), inference(superposition, [status(thm)], [c1,c20])).
% 11.20/43.05 cnf(d9, plain, subset(X0,X1) | ~subset(X0,'set$uintersection2'(X2,X1)), inference(resolution, [status(thm)], [d8,c22])).
% 11.20/43.05 cnf(d10, plain, 'Ts8'(powerset(sK31),powerset(sK32),powerset('set$uintersection2'(sK31,sK32)),sK13(powerset(sK31),powerset(sK32),powerset('set$uintersection2'(sK31,sK32)))) | subset(sK13(powerset(sK31),powerset(sK32),powerset('set$uintersection2'(sK31,sK32))),sK32), inference(resolution, [status(thm)], [d5,d9])).
% 11.20/43.05 cnf(d11, plain, 'Ts8'(powerset(sK31),powerset(sK32),powerset('set$uintersection2'(sK31,sK32)),sK13(powerset(sK31),powerset(sK32),powerset('set$uintersection2'(sK31,sK32)))) | in(sK13(powerset(sK31),powerset(sK32),powerset('set$uintersection2'(sK31,sK32))),powerset(sK32)), inference(resolution, [status(thm)], [d10,d0])).
% 11.20/43.05 cnf(d12, plain, 'Ts8'(powerset(sK31),powerset(sK32),powerset('set$uintersection2'(sK31,sK32)),sK13(powerset(sK31),powerset(sK32),powerset('set$uintersection2'(sK31,sK32)))) | 'set$uintersection2'(powerset(sK31),powerset(sK32)) = powerset('set$uintersection2'(sK31,sK32)) | ~in(sK13(powerset(sK31),powerset(sK32),powerset('set$uintersection2'(sK31,sK32))),powerset(sK31)) | 'Ts8'(powerset(sK31),powerset(sK32),powerset('set$uintersection2'(sK31,sK32)),sK13(powerset(sK31),powerset(sK32),powerset('set$uintersection2'(sK31,sK32)))), inference(resolution, [status(thm)], [d11,c12])).
% 11.20/43.05 cnf(d13, plain, ~in(sK13(powerset(sK31),powerset(sK32),powerset('set$uintersection2'(sK31,sK32))),powerset(sK31)) | 'Ts8'(powerset(sK31),powerset(sK32),powerset('set$uintersection2'(sK31,sK32)),sK13(powerset(sK31),powerset(sK32),powerset('set$uintersection2'(sK31,sK32)))), inference(resolution, [status(thm)], [c27,d12])).
% 11.20/43.05 cnf(d14, plain, 'Ts8'(powerset(sK31),powerset(sK32),powerset('set$uintersection2'(sK31,sK32)),sK13(powerset(sK31),powerset(sK32),powerset('set$uintersection2'(sK31,sK32)))) | 'Ts8'(powerset(sK31),powerset(sK32),powerset('set$uintersection2'(sK31,sK32)),sK13(powerset(sK31),powerset(sK32),powerset('set$uintersection2'(sK31,sK32)))), inference(resolution, [status(thm)], [d13,d7])).
% 11.20/43.05 cnf(d15, plain, in(sK13(powerset(sK31),powerset(sK32),powerset('set$uintersection2'(sK31,sK32))),powerset(sK32)), inference(resolution, [status(thm)], [d14,c14])).
% 11.20/43.05 cnf(d16, plain, subset(sK13(powerset(sK31),powerset(sK32),powerset('set$uintersection2'(sK31,sK32))),sK32), inference(resolution, [status(thm)], [d15,d2])).
% 11.20/43.05 cnf(d17, plain, in(sK13(powerset(sK31),powerset(sK32),powerset('set$uintersection2'(sK31,sK32))),powerset(sK31)), inference(resolution, [status(thm)], [d14,c15])).
% 11.20/43.05 cnf(d18, plain, subset(sK13(powerset(sK31),powerset(sK32),powerset('set$uintersection2'(sK31,sK32))),sK31), inference(resolution, [status(thm)], [d17,d2])).
% 11.20/43.05 cnf(d19, plain, ~subset(sK13(powerset(sK31),powerset(sK32),powerset('set$uintersection2'(sK31,sK32))),X0) | subset(sK13(powerset(sK31),powerset(sK32),powerset('set$uintersection2'(sK31,sK32))),'set$uintersection2'(sK31,X0)), inference(resolution, [status(thm)], [d18,c21])).
% 11.20/43.05 cnf(d20, plain, subset(sK13(powerset(sK31),powerset(sK32),powerset('set$uintersection2'(sK31,sK32))),'set$uintersection2'(sK31,sK32)), inference(resolution, [status(thm)], [d19,d16])).
% 11.20/43.05 cnf(d21, plain, in(sK13(powerset(sK31),powerset(sK32),powerset('set$uintersection2'(sK31,sK32))),powerset('set$uintersection2'(sK31,sK32))), inference(resolution, [status(thm)], [d20,d0])).
% 11.20/43.05 cnf(d22, plain, ~'Ts8'(X0,X1,powerset('set$uintersection2'(sK31,sK32)),sK13(powerset(sK31),powerset(sK32),powerset('set$uintersection2'(sK31,sK32)))), inference(resolution, [status(thm)], [d21,c13])).
% 11.20/43.05 cnf(d23, plain, $false, inference(resolution, [status(thm)], [d22,d14])).
% 11.20/43.05 % SZS output end CNFRefutation for theBenchmark.p
%------------------------------------------------------------------------------