%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SEU154+1 : TPTP v9.3.1. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/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 08:41:03 AM UTC 2026
% Result : Theorem 27.85s 4.19s
% Output : CNFRefutation 27.85s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU154+1 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.57 % Computer : n013.cluster.edu
% 0.10/0.57 % Model : x86_64 x86_64
% 0.10/0.57 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.57 % Memory : 8046.5625MB
% 0.10/0.57 % OS : Linux 6.8.0-71-generic
% 0.10/0.57 % CPULimit : 300
% 0.10/0.57 % WCLimit : 300
% 0.10/0.57 % DateTime : Sat Sep 26 08:40:37 UTC 2026
% 0.10/0.57 % CPUTime :
% 0.10/0.57 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 27.85/4.19 % SZS status Theorem for theBenchmark.p
% 27.85/4.19 % SZS output start CNFRefutation for theBenchmark.p
% 27.85/4.19 fof(commutativity_k3_xboole_0, axiom, ! [X0] : ! [X1] : 'set$uintersection2'(X0,X1) = 'set$uintersection2'(X1,X0)).
% 27.85/4.19 fof(d10_xboole_0, axiom, ! [X0] : ! [X1] : ((X0 = X1 <=> (subset(X0,X1) & subset(X1,X0))))).
% 27.85/4.19 fof(d1_tarski, axiom, ! [X0] : ! [X1] : ((X1 = singleton(X0) <=> ! [X2] : ((in(X2,X1) <=> X2 = X0))))).
% 27.85/4.19 fof(d3_tarski, axiom, ! [X0] : ! [X1] : ((subset(X0,X1) <=> ! [X2] : ((in(X2,X0) => in(X2,X1)))))).
% 27.85/4.19 fof(d3_xboole_0, axiom, ! [X0] : ! [X1] : ! [X2] : ((X2 = 'set$uintersection2'(X0,X1) <=> ! [X3] : ((in(X3,X2) <=> (in(X3,X0) & in(X3,X1))))))).
% 27.85/4.19 fof(d7_xboole_0, axiom, ! [X0] : ! [X1] : ((disjoint(X0,X1) <=> 'set$uintersection2'(X0,X1) = 'empty$uset'))).
% 27.85/4.19 fof(t2_xboole_1, axiom, ! [X0] : subset('empty$uset',X0)).
% 27.85/4.19 fof(l28_zfmisc_1, conjecture, ! [X0] : ! [X1] : ((~in(X0,X1) => disjoint(singleton(X0),X1)))).
% 27.85/4.19 fof(negated_conjecture, negated_conjecture, ~! [X0] : ! [X1] : ((~in(X0,X1) => disjoint(singleton(X0),X1))), inference(negate_conjecture, [status(cth)], [l28_zfmisc_1])).
% 27.85/4.19 cnf(c1, plain, 'set$uintersection2'(X0,X1) = 'set$uintersection2'(X1,X0), inference(clausification, [status(esa)], [commutativity_k3_xboole_0])).
% 27.85/4.19 cnf(c4, plain, X0 = X1 | ~subset(X0,X1) | ~subset(X1,X0), inference(clausification, [status(esa)], [d10_xboole_0])).
% 27.85/4.19 cnf(c5, plain, X0 != singleton(X1) | ~in(X2,X0) | X2 = X1, inference(clausification, [status(esa)], [d1_tarski])).
% 27.85/4.19 cnf(c12, plain, subset(X0,X1) | in(sK13(X0,X1),X0), inference(clausification, [status(esa)], [d3_tarski])).
% 27.85/4.19 cnf(c14, plain, X0 != 'set$uintersection2'(X1,X2) | X3(X1,X2,X0), inference(clausification, [status(esa)], [d3_xboole_0])).
% 27.85/4.19 cnf(c15, plain, X0 = 'set$uintersection2'(X1,X2) | ~X3(X1,X2,X0), inference(clausification, [status(esa)], [d3_xboole_0])).
% 27.85/4.19 cnf(c16, plain, ~X0(X1,X2,X3) | ~in(X4,X3) | in(X4,X1), inference(clausification, [status(esa)], [d3_xboole_0])).
% 27.85/4.19 cnf(c26, plain, disjoint(X0,X1) | 'set$uintersection2'(X0,X1) != 'empty$uset', inference(clausification, [status(esa)], [d7_xboole_0])).
% 27.85/4.19 cnf(c33, plain, subset('empty$uset',X0), inference(clausification, [status(esa)], [t2_xboole_1])).
% 27.85/4.19 cnf(c34, plain, ~in(sK31,sK32), inference(clausification, [status(esa)], [negated_conjecture])).
% 27.85/4.19 cnf(c35, plain, ~disjoint(singleton(sK31),sK32), inference(clausification, [status(esa)], [negated_conjecture])).
% 27.85/4.19 cnf(d0, plain, 'set$uintersection2'(X1,X0) != 'empty$uset' | disjoint(X0,X1), inference(superposition, [status(thm)], [c1,c26])).
% 27.85/4.19 cnf(d1, plain, X2 != 'empty$uset' | disjoint(X1,X0) | ~'Ts14'(X0,X1,X2), inference(superposition, [status(thm)], [c15,d0])).
% 27.85/4.19 cnf(d2, plain, ~'Ts14'(X0,X1,'empty$uset') | disjoint(X1,X0), inference(equality_resolution, [status(thm)], [d1])).
% 27.85/4.19 cnf(d3, plain, 'Ts14'(X0,X1,'set$uintersection2'(X0,X1)), inference(equality_resolution, [status(thm)], [c14])).
% 27.85/4.19 cnf(d4, plain, 'empty$uset' = X0 | ~subset(X0,'empty$uset'), inference(resolution, [status(thm)], [c4,c33])).
% 27.85/4.19 cnf(d5, plain, ~in(X0,'set$uintersection2'(X1,X2)) | in(X0,X1), inference(resolution, [status(thm)], [c16,d3])).
% 27.85/4.19 cnf(d6, plain, in(sK13('set$uintersection2'(X0,X1),X2),X0) | subset('set$uintersection2'(X0,X1),X2), inference(resolution, [status(thm)], [d5,c12])).
% 27.85/4.19 cnf(d7, plain, X0 = X1 | ~in(X0,singleton(X1)), inference(equality_resolution, [status(thm)], [c5])).
% 27.85/4.19 cnf(d8, plain, 'Ts14'(X0,X1,'set$uintersection2'(X1,X0)), inference(superposition, [status(thm)], [c1,d3])).
% 27.85/4.19 cnf(d9, plain, ~in(X0,'set$uintersection2'(X1,X2)) | in(X0,X2), inference(resolution, [status(thm)], [c16,d8])).
% 27.85/4.19 cnf(d10, plain, in(sK13('set$uintersection2'(X0,X1),X2),X1) | subset('set$uintersection2'(X0,X1),X2), inference(resolution, [status(thm)], [d9,c12])).
% 27.85/4.19 cnf(d11, plain, subset('set$uintersection2'(X0,singleton(X1)),X2) | sK13('set$uintersection2'(X0,singleton(X1)),X2) = X1, inference(resolution, [status(thm)], [d10,d7])).
% 27.85/4.19 cnf(d12, plain, in(X1,X0) | subset('set$uintersection2'(X0,singleton(X1)),X2) | subset('set$uintersection2'(X0,singleton(X1)),X2), inference(superposition, [status(thm)], [d11,d6])).
% 27.85/4.19 cnf(d13, plain, in(X0,X1) | 'empty$uset' = 'set$uintersection2'(X1,singleton(X0)), inference(resolution, [status(thm)], [d12,d4])).
% 27.85/4.19 cnf(d14, plain, 'Ts14'(X0,singleton(X1),'empty$uset') | in(X1,X0), inference(superposition, [status(thm)], [d13,d3])).
% 27.85/4.19 cnf(d15, plain, in(X0,X1) | disjoint(singleton(X0),X1), inference(resolution, [status(thm)], [d14,d2])).
% 27.85/4.19 cnf(d16, plain, in(sK31,sK32), inference(resolution, [status(thm)], [d15,c35])).
% 27.85/4.19 cnf(d17, plain, $false, inference(resolution, [status(thm)], [c34,d16])).
% 27.85/4.19 % SZS output end CNFRefutation for theBenchmark.p
%------------------------------------------------------------------------------