%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : NUM401+1 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n020.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 08:12:39 AM UTC 2026
% Result : Theorem 29.75s 6.92s
% Output : CNFRefutation 29.75s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : NUM401+1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.03 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.35 % Computer : n020.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Sat Sep 26 02:39:19 UTC 2026
% 0.08/0.36 % CPUTime :
% 0.08/0.36 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 29.75/6.92 % SZS status Theorem for theBenchmark.p
% 29.75/6.92 % SZS output start CNFRefutation for theBenchmark.p
% 29.75/6.92 fof(cc1_ordinal1, axiom, ! [X0] : ((ordinal(X0) => ('epsilon$utransitive'(X0) & 'epsilon$uconnected'(X0))))).
% 29.75/6.92 fof(connectedness_r1_ordinal1, axiom, ! [X0] : ! [X1] : (((ordinal(X0) & ordinal(X1)) => ('ordinal$usubset'(X0,X1) | 'ordinal$usubset'(X1,X0))))).
% 29.75/6.92 fof(d10_xboole_0, axiom, ! [X0] : ! [X1] : ((X0 = X1 <=> (subset(X0,X1) & subset(X1,X0))))).
% 29.75/6.92 fof(d1_ordinal1, axiom, ! [X0] : succ(X0) = 'set$uunion2'(X0,singleton(X0))).
% 29.75/6.92 fof(d1_tarski, axiom, ! [X0] : ! [X1] : ((X1 = singleton(X0) <=> ! [X2] : ((in(X2,X1) <=> X2 = X0))))).
% 29.75/6.92 fof(d2_ordinal1, axiom, ! [X0] : (('epsilon$utransitive'(X0) <=> ! [X1] : ((in(X1,X0) => subset(X1,X0)))))).
% 29.75/6.92 fof(d2_xboole_0, axiom, ! [X0] : ! [X1] : ! [X2] : ((X2 = 'set$uunion2'(X0,X1) <=> ! [X3] : ((in(X3,X2) <=> (in(X3,X0) | in(X3,X1))))))).
% 29.75/6.92 fof(redefinition_r1_ordinal1, axiom, ! [X0] : ! [X1] : (((ordinal(X0) & ordinal(X1)) => ('ordinal$usubset'(X0,X1) <=> subset(X0,X1))))).
% 29.75/6.92 fof(reflexivity_r1_ordinal1, axiom, ! [X0] : ! [X1] : (((ordinal(X0) & ordinal(X1)) => 'ordinal$usubset'(X0,X0)))).
% 29.75/6.92 fof(t10_ordinal1, axiom, ! [X0] : in(X0,succ(X0))).
% 29.75/6.92 fof(t24_ordinal1, axiom, ! [X0] : ((ordinal(X0) => ! [X1] : ((ordinal(X1) => ~((~in(X0,X1) & (X0 != X1 & ~in(X1,X0))))))))).
% 29.75/6.92 fof(t34_ordinal1, conjecture, ! [X0] : ((ordinal(X0) => ! [X1] : ((ordinal(X1) => (in(X0,succ(X1)) <=> 'ordinal$usubset'(X0,X1))))))).
% 29.75/6.92 fof(negated_conjecture, negated_conjecture, ~! [X0] : ((ordinal(X0) => ! [X1] : ((ordinal(X1) => (in(X0,succ(X1)) <=> 'ordinal$usubset'(X0,X1)))))), inference(negate_conjecture, [status(cth)], [t34_ordinal1])).
% 29.75/6.92 cnf(c2, plain, ~ordinal(X0) | 'epsilon$utransitive'(X0), inference(clausification, [status(esa)], [cc1_ordinal1])).
% 29.75/6.92 cnf(c13, plain, ~ordinal(X0) | ~ordinal(X1) | 'ordinal$usubset'(X0,X1) | 'ordinal$usubset'(X1,X0), inference(clausification, [status(esa)], [connectedness_r1_ordinal1])).
% 29.75/6.92 cnf(c16, plain, X0 = X1 | ~subset(X0,X1) | ~subset(X1,X0), inference(clausification, [status(esa)], [d10_xboole_0])).
% 29.75/6.92 cnf(c17, plain, succ(X0) = 'set$uunion2'(X0,singleton(X0)), inference(clausification, [status(esa)], [d1_ordinal1])).
% 29.75/6.92 cnf(c18, plain, X0 != singleton(X1) | ~in(X2,X0) | X2 = X1, inference(clausification, [status(esa)], [d1_tarski])).
% 29.75/6.92 cnf(c24, plain, ~'epsilon$utransitive'(X0) | ~in(X1,X0) | subset(X1,X0), inference(clausification, [status(esa)], [d2_ordinal1])).
% 29.75/6.92 cnf(c27, plain, X0 != 'set$uunion2'(X1,X2) | X3(X1,X2,X0), inference(clausification, [status(esa)], [d2_xboole_0])).
% 29.75/6.92 cnf(c29, plain, ~X0(X1,X2,X3) | ~in(X4,X3) | in(X4,X1) | in(X4,X2), inference(clausification, [status(esa)], [d2_xboole_0])).
% 29.75/6.92 cnf(c30, plain, ~X0(X1,X2,X3) | in(X4,X3) | ~in(X4,X1), inference(clausification, [status(esa)], [d2_xboole_0])).
% 29.75/6.92 cnf(c98, plain, ~ordinal(X0) | ~ordinal(X1) | ~'ordinal$usubset'(X0,X1) | subset(X0,X1), inference(clausification, [status(esa)], [redefinition_r1_ordinal1])).
% 29.75/6.92 cnf(c100, plain, ~ordinal(X0) | ~ordinal(X1) | 'ordinal$usubset'(X0,X0), inference(clausification, [status(esa)], [reflexivity_r1_ordinal1])).
% 29.75/6.92 cnf(c102, plain, in(X0,succ(X0)), inference(clausification, [status(esa)], [t10_ordinal1])).
% 29.75/6.92 cnf(c106, plain, ~ordinal(X0) | ~ordinal(X1) | X0 = X1 | in(X0,X1) | in(X1,X0), inference(clausification, [status(esa)], [t24_ordinal1])).
% 29.75/6.92 cnf(c115, plain, ordinal(sK81), inference(clausification, [status(esa)], [negated_conjecture])).
% 29.75/6.92 cnf(c116, plain, ordinal(sK82), inference(clausification, [status(esa)], [negated_conjecture])).
% 29.75/6.92 cnf(c118, plain, in(sK81,succ(sK82)) | 'ordinal$usubset'(sK81,sK82), inference(clausification, [status(esa)], [negated_conjecture])).
% 29.75/6.92 cnf(c119, plain, ~'ordinal$usubset'(sK81,sK82) | ~in(sK81,succ(sK82)), inference(clausification, [status(esa)], [negated_conjecture])).
% 29.75/6.92 cnf(d0, plain, ~ordinal(X0) | 'ordinal$usubset'(X0,X0), inference(resolution, [status(thm)], [c100,c115])).
% 29.75/6.92 cnf(d1, plain, ~ordinal(X0) | ~ordinal(X1) | subset(X1,X0) | ~ordinal(X0) | ~ordinal(X1) | 'ordinal$usubset'(X0,X1), inference(resolution, [status(thm)], [c98,c13])).
% 29.75/6.92 cnf(d2, plain, X1 != succ(X0) | 'Ts22'(X0,singleton(X0),X1), inference(superposition, [status(thm)], [c17,c27])).
% 29.75/6.92 cnf(d3, plain, 'Ts22'(X0,singleton(X0),succ(X0)), inference(equality_resolution, [status(thm)], [d2])).
% 29.75/6.92 cnf(d4, plain, in(X0,succ(X1)) | ~in(X0,X1), inference(resolution, [status(thm)], [d3,c30])).
% 29.75/6.92 cnf(d5, plain, ~in(sK81,sK82) | ~'ordinal$usubset'(sK81,sK82), inference(resolution, [status(thm)], [d4,c119])).
% 29.75/6.92 cnf(d6, plain, ~in(sK81,sK82) | ~ordinal(sK82) | ~ordinal(sK81) | subset(sK82,sK81), inference(resolution, [status(thm)], [d5,d1])).
% 29.75/6.92 cnf(d7, plain, ~in(sK81,sK82) | ~ordinal(sK82) | subset(sK82,sK81), inference(resolution, [status(thm)], [c115,d6])).
% 29.75/6.92 cnf(d8, plain, ~in(sK81,sK82) | subset(sK82,sK81), inference(resolution, [status(thm)], [c116,d7])).
% 29.75/6.92 cnf(d9, plain, X0 = X1 | in(X0,X1) | ~ordinal(X0) | ~ordinal(X1) | ~'epsilon$utransitive'(X0) | subset(X1,X0), inference(resolution, [status(thm)], [c106,c24])).
% 29.75/6.92 cnf(d10, plain, X0 = X1 | ~in(X0,singleton(X1)), inference(equality_resolution, [status(thm)], [c18])).
% 29.75/6.92 cnf(d11, plain, ~in(X0,succ(X1)) | in(X0,singleton(X1)) | in(X0,X1), inference(resolution, [status(thm)], [d3,c29])).
% 29.75/6.92 cnf(d12, plain, in(sK81,sK82) | in(sK81,singleton(sK82)) | 'ordinal$usubset'(sK81,sK82), inference(resolution, [status(thm)], [d11,c118])).
% 29.75/6.92 cnf(d13, plain, in(sK81,sK82) | 'ordinal$usubset'(sK81,sK82) | sK81 = sK82, inference(resolution, [status(thm)], [d12,d10])).
% 29.75/6.92 cnf(d14, plain, sK81 = sK82 | in(sK81,sK82) | ~ordinal(sK82) | ~ordinal(sK81) | subset(sK81,sK82), inference(resolution, [status(thm)], [d13,c98])).
% 29.75/6.92 cnf(d15, plain, sK81 = sK82 | in(sK81,sK82) | ~ordinal(sK82) | subset(sK81,sK82), inference(resolution, [status(thm)], [c115,d14])).
% 29.75/6.92 cnf(d16, plain, sK81 = sK82 | in(sK81,sK82) | subset(sK81,sK82), inference(resolution, [status(thm)], [c116,d15])).
% 29.75/6.92 cnf(d17, plain, sK81 = sK82 | in(sK81,sK82) | sK81 = sK82 | ~subset(sK82,sK81), inference(resolution, [status(thm)], [d16,c16])).
% 29.75/6.92 cnf(d18, plain, sK81 = sK82 | in(sK81,sK82) | sK81 = sK82 | in(sK81,sK82) | ~ordinal(sK82) | ~ordinal(sK81) | ~'epsilon$utransitive'(sK81), inference(resolution, [status(thm)], [d17,d9])).
% 29.75/6.92 cnf(d19, plain, sK81 = sK82 | in(sK81,sK82) | ~ordinal(sK82) | ~'epsilon$utransitive'(sK81), inference(resolution, [status(thm)], [c115,d18])).
% 29.75/6.92 cnf(d20, plain, sK81 = sK82 | in(sK81,sK82) | ~'epsilon$utransitive'(sK81), inference(resolution, [status(thm)], [c116,d19])).
% 29.75/6.92 cnf(d21, plain, 'epsilon$utransitive'(sK81), inference(resolution, [status(thm)], [c2,c115])).
% 29.75/6.92 cnf(d22, plain, sK81 = sK82 | in(sK81,sK82), inference(resolution, [status(thm)], [d21,d20])).
% 29.75/6.92 cnf(d23, plain, sK81 = sK82 | subset(sK82,sK81), inference(resolution, [status(thm)], [d22,d8])).
% 29.75/6.92 cnf(d24, plain, sK81 = sK82 | ~'epsilon$utransitive'(sK82) | subset(sK81,sK82), inference(resolution, [status(thm)], [d22,c24])).
% 29.75/6.92 cnf(d25, plain, 'epsilon$utransitive'(sK82), inference(resolution, [status(thm)], [c2,c116])).
% 29.75/6.92 cnf(d26, plain, sK81 = sK82 | subset(sK81,sK82), inference(resolution, [status(thm)], [d25,d24])).
% 29.75/6.92 cnf(d27, plain, sK81 = sK82 | sK81 = sK82 | ~subset(sK82,sK81), inference(resolution, [status(thm)], [d26,c16])).
% 29.75/6.92 cnf(d28, plain, sK81 = sK82 | sK81 = sK82, inference(resolution, [status(thm)], [d27,d23])).
% 29.75/6.92 cnf(d29, plain, ~in(sK81,succ(sK81)) | ~'ordinal$usubset'(sK81,sK82), inference(demodulation, [status(thm)], [c119,d28])).
% 29.75/6.92 cnf(d30, plain, ~in(sK81,succ(sK81)) | ~'ordinal$usubset'(sK81,sK81), inference(demodulation, [status(thm)], [d29,d28])).
% 29.75/6.92 cnf(d31, plain, ~'ordinal$usubset'(sK81,sK81), inference(resolution, [status(thm)], [c102,d30])).
% 29.75/6.92 cnf(d32, plain, ~ordinal(sK81), inference(resolution, [status(thm)], [d31,d0])).
% 29.75/6.92 cnf(d33, plain, $false, inference(resolution, [status(thm)], [c115,d32])).
% 29.75/6.92 % SZS output end CNFRefutation for theBenchmark.p
%------------------------------------------------------------------------------