%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SEU236+2 : 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 : 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 08:41:23 AM UTC 2026
% Result : Theorem 87.39s 29.02s
% Output : CNFRefutation 87.39s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU236+2 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.37 % Computer : n010.cluster.edu
% 0.09/0.37 % Model : x86_64 x86_64
% 0.09/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.37 % Memory : 8046.5625MB
% 0.09/0.37 % OS : Linux 6.8.0-71-generic
% 0.09/0.37 % CPULimit : 300
% 0.09/0.37 % WCLimit : 300
% 0.09/0.37 % DateTime : Sat Sep 26 08:56:45 UTC 2026
% 0.13/0.37 % CPUTime :
% 0.13/0.37 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 87.39/29.02 % SZS status Theorem for theBenchmark.p
% 87.39/29.02 % SZS output start CNFRefutation for theBenchmark.p
% 87.39/29.02 fof(cc1_ordinal1, axiom, ! [X0] : ((ordinal(X0) => ('epsilon$utransitive'(X0) & 'epsilon$uconnected'(X0))))).
% 87.39/29.02 fof(commutativity_k2_xboole_0, axiom, ! [X0] : ! [X1] : 'set$uunion2'(X0,X1) = 'set$uunion2'(X1,X0)).
% 87.39/29.02 fof(connectedness_r1_ordinal1, axiom, ! [X0] : ! [X1] : (((ordinal(X0) & ordinal(X1)) => ('ordinal$usubset'(X0,X1) | 'ordinal$usubset'(X1,X0))))).
% 87.39/29.02 fof(d1_ordinal1, axiom, ! [X0] : succ(X0) = 'set$uunion2'(X0,singleton(X0))).
% 87.39/29.02 fof(d2_ordinal1, axiom, ! [X0] : (('epsilon$utransitive'(X0) <=> ! [X1] : ((in(X1,X0) => subset(X1,X0)))))).
% 87.39/29.02 fof(d3_tarski, axiom, ! [X0] : ! [X1] : ((subset(X0,X1) <=> ! [X2] : ((in(X2,X0) => in(X2,X1)))))).
% 87.39/29.02 fof(d3_xboole_0, axiom, ! [X0] : ! [X1] : ! [X2] : ((X2 = 'set$uintersection2'(X0,X1) <=> ! [X3] : ((in(X3,X2) <=> (in(X3,X0) & in(X3,X1))))))).
% 87.39/29.02 fof(fc3_ordinal1, axiom, ! [X0] : ((ordinal(X0) => (~empty(succ(X0)) & ('epsilon$utransitive'(succ(X0)) & ('epsilon$uconnected'(succ(X0)) & ordinal(succ(X0)))))))).
% 87.39/29.02 fof(l23_zfmisc_1, lemma, ! [X0] : ! [X1] : ((in(X0,X1) => 'set$uunion2'(singleton(X0),X1) = X1))).
% 87.39/29.02 fof(l32_xboole_1, lemma, ! [X0] : ! [X1] : (('set$udifference'(X0,X1) = 'empty$uset' <=> subset(X0,X1)))).
% 87.39/29.02 fof(redefinition_r1_ordinal1, axiom, ! [X0] : ! [X1] : (((ordinal(X0) & ordinal(X1)) => ('ordinal$usubset'(X0,X1) <=> subset(X0,X1))))).
% 87.39/29.02 fof(reflexivity_r1_tarski, axiom, ! [X0] : ! [X1] : subset(X0,X0)).
% 87.39/29.02 fof(t10_ordinal1, lemma, ! [X0] : in(X0,succ(X0))).
% 87.39/29.02 fof(t12_xboole_1, lemma, ! [X0] : ! [X1] : ((subset(X0,X1) => 'set$uunion2'(X0,X1) = X1))).
% 87.39/29.02 fof(t17_xboole_1, lemma, ! [X0] : ! [X1] : subset('set$uintersection2'(X0,X1),X0)).
% 87.39/29.02 fof(t28_xboole_1, lemma, ! [X0] : ! [X1] : ((subset(X0,X1) => 'set$uintersection2'(X0,X1) = X0))).
% 87.39/29.02 fof(t7_xboole_1, lemma, ! [X0] : ! [X1] : subset(X0,'set$uunion2'(X0,X1))).
% 87.39/29.02 fof(t8_xboole_1, lemma, ! [X0] : ! [X1] : ! [X2] : (((subset(X0,X1) & subset(X2,X1)) => subset('set$uunion2'(X0,X2),X1)))).
% 87.39/29.02 fof(t33_ordinal1, conjecture, ! [X0] : ((ordinal(X0) => ! [X1] : ((ordinal(X1) => (in(X0,X1) <=> 'ordinal$usubset'(succ(X0),X1))))))).
% 87.39/29.02 fof(negated_conjecture, negated_conjecture, ~! [X0] : ((ordinal(X0) => ! [X1] : ((ordinal(X1) => (in(X0,X1) <=> 'ordinal$usubset'(succ(X0),X1)))))), inference(negate_conjecture, [status(cth)], [t33_ordinal1])).
% 87.39/29.02 cnf(c3, plain, ~ordinal(X0) | 'epsilon$utransitive'(X0), inference(clausification, [status(esa)], [cc1_ordinal1])).
% 87.39/29.02 cnf(c14, plain, 'set$uunion2'(X0,X1) = 'set$uunion2'(X1,X0), inference(clausification, [status(esa)], [commutativity_k2_xboole_0])).
% 87.39/29.02 cnf(c16, plain, ~ordinal(X0) | ~ordinal(X1) | 'ordinal$usubset'(X0,X1) | 'ordinal$usubset'(X1,X0), inference(clausification, [status(esa)], [connectedness_r1_ordinal1])).
% 87.39/29.02 cnf(c114, plain, succ(X0) = 'set$uunion2'(X0,singleton(X0)), inference(clausification, [status(esa)], [d1_ordinal1])).
% 87.39/29.02 cnf(c145, plain, ~'epsilon$utransitive'(X0) | ~in(X1,X0) | subset(X1,X0), inference(clausification, [status(esa)], [d2_ordinal1])).
% 87.39/29.02 cnf(c205, plain, ~subset(X0,X1) | ~in(X2,X0) | in(X2,X1), inference(clausification, [status(esa)], [d3_tarski])).
% 87.39/29.02 cnf(c208, plain, X0 != 'set$uintersection2'(X1,X2) | X3(X1,X2,X0), inference(clausification, [status(esa)], [d3_xboole_0])).
% 87.39/29.02 cnf(c209, plain, X0 = 'set$uintersection2'(X1,X2) | ~X3(X1,X2,X0), inference(clausification, [status(esa)], [d3_xboole_0])).
% 87.39/29.02 cnf(c362, plain, ~ordinal(X0) | ordinal(succ(X0)), inference(clausification, [status(esa)], [fc3_ordinal1])).
% 87.39/29.02 cnf(c386, plain, ~in(X0,X1) | 'set$uunion2'(singleton(X0),X1) = X1, inference(clausification, [status(esa)], [l23_zfmisc_1])).
% 87.39/29.02 cnf(c391, plain, 'set$udifference'(X0,X1) != 'empty$uset' | subset(X0,X1), inference(clausification, [status(esa)], [l32_xboole_1])).
% 87.39/29.02 cnf(c392, plain, 'set$udifference'(X0,X1) = 'empty$uset' | ~subset(X0,X1), inference(clausification, [status(esa)], [l32_xboole_1])).
% 87.39/29.02 cnf(c447, plain, ~ordinal(X0) | ~ordinal(X1) | ~'ordinal$usubset'(X0,X1) | subset(X0,X1), inference(clausification, [status(esa)], [redefinition_r1_ordinal1])).
% 87.39/29.02 cnf(c450, plain, subset(X0,X0), inference(clausification, [status(esa)], [reflexivity_r1_tarski])).
% 87.39/29.02 cnf(c455, plain, in(X0,succ(X0)), inference(clausification, [status(esa)], [t10_ordinal1])).
% 87.39/29.02 cnf(c467, plain, ~subset(X0,X1) | 'set$uunion2'(X0,X1) = X1, inference(clausification, [status(esa)], [t12_xboole_1])).
% 87.39/29.02 cnf(c491, plain, subset('set$uintersection2'(X0,X1),X0), inference(clausification, [status(esa)], [t17_xboole_1])).
% 87.39/29.02 cnf(c511, plain, ~subset(X0,X1) | 'set$uintersection2'(X0,X1) = X0, inference(clausification, [status(esa)], [t28_xboole_1])).
% 87.39/29.02 cnf(c623, plain, subset(X0,'set$uunion2'(X0,X1)), inference(clausification, [status(esa)], [t7_xboole_1])).
% 87.39/29.02 cnf(c634, plain, ~subset(X0,X1) | ~subset(X2,X1) | subset('set$uunion2'(X0,X2),X1), inference(clausification, [status(esa)], [t8_xboole_1])).
% 87.39/29.02 cnf(c647, plain, ordinal(sK682), inference(clausification, [status(esa)], [negated_conjecture])).
% 87.39/29.02 cnf(c648, plain, ordinal(sK683), inference(clausification, [status(esa)], [negated_conjecture])).
% 87.39/29.02 cnf(c650, plain, in(sK682,sK683) | 'ordinal$usubset'(succ(sK682),sK683), inference(clausification, [status(esa)], [negated_conjecture])).
% 87.39/29.02 cnf(c651, plain, ~'ordinal$usubset'(succ(sK682),sK683) | ~in(sK682,sK683), inference(clausification, [status(esa)], [negated_conjecture])).
% 87.39/29.02 cnf(d0, plain, ~ordinal(X0) | ~ordinal(X0) | 'ordinal$usubset'(X0,X0), inference(factoring, [status(thm)], [c16])).
% 87.39/29.02 cnf(d1, plain, subset(X0,'set$uunion2'(X1,X0)), inference(superposition, [status(thm)], [c14,c623])).
% 87.39/29.02 cnf(d2, plain, ~ordinal(sK683) | ~ordinal(succ(sK682)) | subset(succ(sK682),sK683) | in(sK682,sK683), inference(resolution, [status(thm)], [c447,c650])).
% 87.39/29.02 cnf(d3, plain, in(sK682,sK683) | ~ordinal(succ(sK682)) | subset(succ(sK682),sK683), inference(resolution, [status(thm)], [c648,d2])).
% 87.39/29.02 cnf(d4, plain, in(sK682,sK683) | ~ordinal(succ(sK682)) | in(X0,sK683) | ~in(X0,succ(sK682)), inference(resolution, [status(thm)], [d3,c205])).
% 87.39/29.02 cnf(d5, plain, in(sK682,sK683) | in(sK682,sK683) | ~ordinal(succ(sK682)), inference(resolution, [status(thm)], [d4,c455])).
% 87.39/29.02 cnf(d6, plain, in(sK682,sK683) | ~ordinal(sK682), inference(resolution, [status(thm)], [d5,c362])).
% 87.39/29.02 cnf(d7, plain, in(sK682,sK683), inference(resolution, [status(thm)], [c647,d6])).
% 87.39/29.02 cnf(d8, plain, 'set$uunion2'(singleton(sK682),sK683) = sK683, inference(resolution, [status(thm)], [d7,c386])).
% 87.39/29.02 cnf(d9, plain, 'set$uunion2'(sK683,singleton(sK682)) = sK683, inference(demodulation, [status(thm)], [d8,c14])).
% 87.39/29.02 cnf(d10, plain, subset(singleton(sK682),sK683), inference(superposition, [status(thm)], [d9,d1])).
% 87.39/29.02 cnf(d11, plain, subset(succ(X0),X1) | ~subset(singleton(X0),X1) | ~subset(X0,X1), inference(superposition, [status(thm)], [c114,c634])).
% 87.39/29.02 cnf(d12, plain, ~subset(sK682,sK683) | subset(succ(sK682),sK683), inference(resolution, [status(thm)], [d11,d10])).
% 87.39/29.02 cnf(d13, plain, in(sK682,sK683) | ~ordinal(succ(sK682)) | 'set$udifference'(succ(sK682),sK683) = 'empty$uset', inference(resolution, [status(thm)], [d3,c392])).
% 87.39/29.02 cnf(d14, plain, 'set$udifference'(succ(sK682),sK683) = 'empty$uset' | in(sK682,sK683) | ~ordinal(sK682), inference(resolution, [status(thm)], [d13,c362])).
% 87.39/29.02 cnf(d15, plain, 'set$udifference'(succ(sK682),sK683) = 'empty$uset' | in(sK682,sK683), inference(resolution, [status(thm)], [c647,d14])).
% 87.39/29.02 cnf(d16, plain, 'set$udifference'(succ(sK682),sK683) = 'empty$uset' | ~'epsilon$utransitive'(sK683) | subset(sK682,sK683), inference(resolution, [status(thm)], [d15,c145])).
% 87.39/29.02 cnf(d17, plain, 'epsilon$utransitive'(sK683), inference(resolution, [status(thm)], [c3,c648])).
% 87.39/29.02 cnf(d18, plain, 'set$udifference'(succ(sK682),sK683) = 'empty$uset' | subset(sK682,sK683), inference(resolution, [status(thm)], [d17,d16])).
% 87.39/29.02 cnf(d19, plain, 'set$udifference'(succ(sK682),sK683) = 'empty$uset' | 'set$udifference'(sK682,sK683) = 'empty$uset', inference(resolution, [status(thm)], [d18,c392])).
% 87.39/29.02 cnf(d20, plain, 'empty$uset' != 'empty$uset' | subset(succ(sK682),sK683) | 'set$udifference'(sK682,sK683) = 'empty$uset', inference(superposition, [status(thm)], [d19,c391])).
% 87.39/29.02 cnf(d21, plain, 'set$udifference'(sK682,sK683) = 'empty$uset' | subset(succ(sK682),sK683), inference(equality_resolution, [status(thm)], [d20])).
% 87.39/29.02 cnf(d22, plain, 'set$udifference'(sK682,sK683) = 'empty$uset' | in(X0,sK683) | ~in(X0,succ(sK682)), inference(resolution, [status(thm)], [d21,c205])).
% 87.39/29.02 cnf(d23, plain, 'set$udifference'(sK682,sK683) = 'empty$uset' | in(sK682,sK683), inference(resolution, [status(thm)], [d22,c455])).
% 87.39/29.02 cnf(d24, plain, 'set$udifference'(sK682,sK683) = 'empty$uset' | ~'epsilon$utransitive'(sK683) | subset(sK682,sK683), inference(resolution, [status(thm)], [d23,c145])).
% 87.39/29.02 cnf(d25, plain, 'set$udifference'(sK682,sK683) = 'empty$uset' | subset(sK682,sK683), inference(resolution, [status(thm)], [d17,d24])).
% 87.39/29.02 cnf(d26, plain, 'set$udifference'(sK682,sK683) = 'empty$uset' | 'set$udifference'(sK682,sK683) = 'empty$uset', inference(resolution, [status(thm)], [d25,c392])).
% 87.39/29.02 cnf(d27, plain, 'empty$uset' != 'empty$uset' | subset(sK682,sK683), inference(superposition, [status(thm)], [d26,c391])).
% 87.39/29.02 cnf(d28, plain, subset(sK682,sK683), inference(equality_resolution, [status(thm)], [d27])).
% 87.39/29.02 cnf(d29, plain, subset(succ(sK682),sK683), inference(resolution, [status(thm)], [d28,d12])).
% 87.39/29.02 cnf(d30, plain, 'set$uunion2'(succ(sK682),sK683) = sK683, inference(resolution, [status(thm)], [d29,c467])).
% 87.39/29.02 cnf(d31, plain, 'set$uunion2'(sK683,succ(sK682)) = sK683, inference(demodulation, [status(thm)], [d30,c14])).
% 87.39/29.02 cnf(d32, plain, ~ordinal(succ(sK682)) | ~ordinal(sK683) | 'ordinal$usubset'(sK683,succ(sK682)) | ~in(sK682,sK683), inference(resolution, [status(thm)], [c16,c651])).
% 87.39/29.02 cnf(d33, plain, ~in(sK682,sK683) | ~ordinal(succ(sK682)) | 'ordinal$usubset'(sK683,succ(sK682)), inference(resolution, [status(thm)], [c648,d32])).
% 87.39/29.02 cnf(d34, plain, ~ordinal(succ(sK682)) | ~ordinal(sK683) | subset(sK683,succ(sK682)) | ~in(sK682,sK683) | ~ordinal(succ(sK682)), inference(resolution, [status(thm)], [c447,d33])).
% 87.39/29.02 cnf(d35, plain, ~in(sK682,sK683) | ~ordinal(succ(sK682)) | subset(sK683,succ(sK682)), inference(resolution, [status(thm)], [c648,d34])).
% 87.39/29.02 cnf(d36, plain, ~in(sK682,sK683) | ~ordinal(succ(sK682)) | 'set$udifference'(sK683,succ(sK682)) = 'empty$uset', inference(resolution, [status(thm)], [d35,c392])).
% 87.39/29.02 cnf(d37, plain, 'set$udifference'(sK683,succ(sK682)) = 'empty$uset' | ~in(sK682,sK683) | ~ordinal(sK682), inference(resolution, [status(thm)], [d36,c362])).
% 87.39/29.02 cnf(d38, plain, 'set$udifference'(sK683,succ(sK682)) = 'empty$uset' | ~in(sK682,sK683), inference(resolution, [status(thm)], [c647,d37])).
% 87.39/29.02 cnf(d39, plain, 'set$udifference'(sK683,succ(sK682)) = 'empty$uset', inference(resolution, [status(thm)], [d7,d38])).
% 87.39/29.02 cnf(d40, plain, 'empty$uset' != 'empty$uset' | subset(sK683,succ(sK682)), inference(superposition, [status(thm)], [d39,c391])).
% 87.39/29.02 cnf(d41, plain, 'set$udifference'(X0,X0) = 'empty$uset', inference(resolution, [status(thm)], [c392,c450])).
% 87.39/29.02 cnf(d42, plain, 'set$udifference'('set$uintersection2'(X0,X1),X0) = 'empty$uset', inference(resolution, [status(thm)], [c392,c491])).
% 87.39/29.02 cnf(d43, plain, 'set$uintersection2'(sK682,sK683) = sK682, inference(resolution, [status(thm)], [d28,c511])).
% 87.39/29.02 cnf(d44, plain, X0 != sK682 | 'Ts167'(sK682,sK683,X0), inference(superposition, [status(thm)], [d43,c208])).
% 87.39/29.02 cnf(d45, plain, 'Ts167'(sK682,sK683,sK682), inference(equality_resolution, [status(thm)], [d44])).
% 87.39/29.02 cnf(d46, plain, sK682 = 'set$uintersection2'(sK682,sK683), inference(resolution, [status(thm)], [d45,c209])).
% 87.39/29.02 cnf(d47, plain, 'set$udifference'(sK682,sK682) = 'empty$uset', inference(superposition, [status(thm)], [d46,d42])).
% 87.39/29.02 cnf(d48, plain, 'empty$uset' = 'empty$uset', inference(demodulation, [status(thm)], [d47,d41])).
% 87.39/29.02 cnf(d49, plain, subset(sK683,succ(sK682)), inference(resolution, [status(thm)], [d48,d40])).
% 87.39/29.02 cnf(d50, plain, 'set$uunion2'(sK683,succ(sK682)) = succ(sK682), inference(resolution, [status(thm)], [d49,c467])).
% 87.39/29.02 cnf(d51, plain, sK683 = succ(sK682), inference(demodulation, [status(thm)], [d50,d31])).
% 87.39/29.02 cnf(d52, plain, ~'ordinal$usubset'(succ(sK682),sK683), inference(resolution, [status(thm)], [d7,c651])).
% 87.39/29.02 cnf(d53, plain, ~'ordinal$usubset'(sK683,sK683), inference(demodulation, [status(thm)], [d52,d51])).
% 87.39/29.02 cnf(d54, plain, ~ordinal(sK683), inference(resolution, [status(thm)], [d53,d0])).
% 87.39/29.02 cnf(d55, plain, $false, inference(resolution, [status(thm)], [c648,d54])).
% 87.39/29.02 % SZS output end CNFRefutation for theBenchmark.p
%------------------------------------------------------------------------------