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LisaST---0.9.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : LisaST---0.9
% Problem  : SEU118+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 : n006.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 08:40:54 AM UTC 2026

% Result   : Theorem 12.71s 3.53s
% Output   : CNFRefutation 12.71s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04  % Problem  : SEU118+1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.06  % Command  : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.17/0.43  % Computer : n006.cluster.edu
% 0.17/0.43  % Model    : x86_64 x86_64
% 0.17/0.43  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.43  % Memory   : 8046.5625MB
% 0.17/0.43  % OS       : Linux 6.8.0-71-generic
% 0.17/0.43  % CPULimit : 300
% 0.17/0.43  % WCLimit  : 300
% 0.17/0.43  % DateTime : Sat Sep 26 08:37:10 UTC 2026
% 0.17/0.43  % CPUTime  : 
% 0.17/0.43  Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 12.71/3.53  % SZS status Theorem for theBenchmark.p
% 12.71/3.53  % SZS output start CNFRefutation for theBenchmark.p
% 12.71/3.53  fof(cc2_finset_1, axiom, ! [X0] : ((finite(X0) => ! [X1] : ((element(X1,powerset(X0)) => finite(X1)))))).
% 12.71/3.53  fof(d5_finsub_1, axiom, ! [X0] : ! [X1] : ((preboolean(X1) => (X1 = 'finite$usubsets'(X0) <=> ! [X2] : ((in(X2,X1) <=> (subset(X2,X0) & finite(X2)))))))).
% 12.71/3.53  fof(dt_k5_finsub_1, axiom, ! [X0] : preboolean('finite$usubsets'(X0))).
% 12.71/3.53  fof(t1_subset, axiom, ! [X0] : ! [X1] : ((in(X0,X1) => element(X0,X1)))).
% 12.71/3.53  fof(t3_subset, axiom, ! [X0] : ! [X1] : ((element(X0,powerset(X1)) <=> subset(X0,X1)))).
% 12.71/3.53  fof(t34_finsub_1, conjecture, ! [X0] : ! [X1] : ((element(X1,powerset(X0)) => (finite(X0) => element(X1,'finite$usubsets'(X0)))))).
% 12.71/3.53  fof(negated_conjecture, negated_conjecture, ~! [X0] : ! [X1] : ((element(X1,powerset(X0)) => (finite(X0) => element(X1,'finite$usubsets'(X0))))), inference(negate_conjecture, [status(cth)], [t34_finsub_1])).
% 12.71/3.53  cnf(c4, plain, ~finite(X0) | ~element(X1,powerset(X0)) | finite(X1), inference(clausification, [status(esa)], [cc2_finset_1])).
% 12.71/3.53  cnf(c7, plain, ~preboolean(X0) | X0 != 'finite$usubsets'(X1) | X2(X1,X0), inference(clausification, [status(esa)], [d5_finsub_1])).
% 12.71/3.53  cnf(c11, plain, ~X0(X1,X2) | in(X3,X2) | ~subset(X3,X1) | ~finite(X3), inference(clausification, [status(esa)], [d5_finsub_1])).
% 12.71/3.53  cnf(c18, plain, preboolean('finite$usubsets'(X0)), inference(clausification, [status(esa)], [dt_k5_finsub_1])).
% 12.71/3.53  cnf(c61, plain, ~in(X0,X1) | element(X0,X1), inference(clausification, [status(esa)], [t1_subset])).
% 12.71/3.53  cnf(c63, plain, ~element(X0,powerset(X1)) | subset(X0,X1), inference(clausification, [status(esa)], [t3_subset])).
% 12.71/3.53  cnf(c70, plain, element(sK56,powerset(sK55)), inference(clausification, [status(esa)], [negated_conjecture])).
% 12.71/3.53  cnf(c71, plain, finite(sK55), inference(clausification, [status(esa)], [negated_conjecture])).
% 12.71/3.53  cnf(c72, plain, ~element(sK56,'finite$usubsets'(sK55)), inference(clausification, [status(esa)], [negated_conjecture])).
% 12.71/3.53  cnf(d0, plain, ~preboolean('finite$usubsets'(X0)) | 'Ts9'(X0,'finite$usubsets'(X0)), inference(equality_resolution, [status(thm)], [c7])).
% 12.71/3.53  cnf(d1, plain, 'Ts9'(X0,'finite$usubsets'(X0)), inference(resolution, [status(thm)], [c18,d0])).
% 12.71/3.53  cnf(d2, plain, subset(sK56,sK55), inference(resolution, [status(thm)], [c63,c70])).
% 12.71/3.53  cnf(d3, plain, in(sK56,X0) | ~finite(sK56) | ~'Ts9'(sK55,X0), inference(resolution, [status(thm)], [d2,c11])).
% 12.71/3.53  cnf(d4, plain, ~finite(sK55) | finite(sK56), inference(resolution, [status(thm)], [c4,c70])).
% 12.71/3.53  cnf(d5, plain, finite(sK56), inference(resolution, [status(thm)], [c71,d4])).
% 12.71/3.53  cnf(d6, plain, in(sK56,X0) | ~'Ts9'(sK55,X0), inference(resolution, [status(thm)], [d5,d3])).
% 12.71/3.53  cnf(d7, plain, in(sK56,'finite$usubsets'(sK55)), inference(resolution, [status(thm)], [d6,d1])).
% 12.71/3.53  cnf(d8, plain, element(sK56,'finite$usubsets'(sK55)), inference(resolution, [status(thm)], [d7,c61])).
% 12.71/3.53  cnf(d9, plain, $false, inference(resolution, [status(thm)], [c72,d8])).
% 12.71/3.53  % SZS output end CNFRefutation for theBenchmark.p
%------------------------------------------------------------------------------