%------------------------------------------------------------------------------
% File     : leanCoP---2.2
% Problem  : SET081+1 : TPTP v8.1.0. Bugfixed v5.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : leancop_casc.sh %s %d

% Computer : n013.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 600s
% DateTime : Tue Jul 19 02:51:06 EDT 2022

% Result   : Theorem 0.35s 1.40s
% Output   : Proof 0.35s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12  % Problem  : SET081+1 : TPTP v8.1.0. Bugfixed v5.4.0.
% 0.04/0.13  % Command  : leancop_casc.sh %s %d
% 0.13/0.34  % Computer : n013.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 600
% 0.13/0.34  % DateTime : Mon Jul 11 05:58:59 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.35/1.40  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.35/1.41  % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.35/1.41  
% 0.35/1.41  %-----------------------------------------------------
% 0.35/1.41  fof(only_member_in_singleton, conjecture, ! [_74340, _74343] : (member(_74343, singleton(_74340)) => _74343 = _74340), file('/export/starexec/sandbox/benchmark/theBenchmark.p', only_member_in_singleton)).
% 0.35/1.41  fof(unordered_pair_defn, axiom, ! [_74561, _74564, _74567] : (member(_74561, unordered_pair(_74564, _74567)) <=> member(_74561, universal_class) & (_74561 = _74564 | _74561 = _74567)), file('/export/starexec/sandbox/benchmark/Axioms/SET005+0.ax', unordered_pair_defn)).
% 0.35/1.41  fof(singleton_set_defn, axiom, ! [_74785] : singleton(_74785) = unordered_pair(_74785, _74785), file('/export/starexec/sandbox/benchmark/Axioms/SET005+0.ax', singleton_set_defn)).
% 0.35/1.41  
% 0.35/1.41  cnf(1, plain, [-(member(9 ^ [], singleton(8 ^ [])))], clausify(only_member_in_singleton)).
% 0.35/1.41  cnf(2, plain, [9 ^ [] = 8 ^ []], clausify(only_member_in_singleton)).
% 0.35/1.41  cnf(3, plain, [-(_22608 = _22608)], theory(equality)).
% 0.35/1.41  cnf(4, plain, [-(member(_24865, _24996)), member(_24798, _24931), _24798 = _24865, _24931 = _24996], theory(equality)).
% 0.35/1.41  cnf(5, plain, [member(_37433, unordered_pair(_37498, _37562)), -(_37433 = _37498), -(_37433 = _37562)], clausify(unordered_pair_defn)).
% 0.35/1.41  cnf(6, plain, [-(singleton(_38305) = unordered_pair(_38305, _38305))], clausify(singleton_set_defn)).
% 0.35/1.41  
% 0.35/1.41  cnf('1',plain,[9 ^ [] = 8 ^ []],start(2)).
% 0.35/1.41  cnf('1.1',plain,[-(9 ^ [] = 8 ^ []), member(9 ^ [], unordered_pair(8 ^ [], 8 ^ [])), -(9 ^ [] = 8 ^ [])],extension(5,bind([[_37498, _37433, _37562], [8 ^ [], 9 ^ [], 8 ^ []]]))).
% 0.35/1.41  cnf('1.1.1',plain,[-(member(9 ^ [], unordered_pair(8 ^ [], 8 ^ []))), member(9 ^ [], singleton(8 ^ [])), 9 ^ [] = 9 ^ [], singleton(8 ^ []) = unordered_pair(8 ^ [], 8 ^ [])],extension(4,bind([[_24798, _24865, _24931, _24996], [9 ^ [], 9 ^ [], singleton(8 ^ []), unordered_pair(8 ^ [], 8 ^ [])]]))).
% 0.35/1.41  cnf('1.1.1.1',plain,[-(member(9 ^ [], singleton(8 ^ [])))],extension(1)).
% 0.35/1.41  cnf('1.1.1.2',plain,[-(9 ^ [] = 9 ^ [])],extension(3,bind([[_22608], [9 ^ []]]))).
% 0.35/1.41  cnf('1.1.1.3',plain,[-(singleton(8 ^ []) = unordered_pair(8 ^ [], 8 ^ []))],extension(6,bind([[_38305], [8 ^ []]]))).
% 0.35/1.41  cnf('1.1.2',plain,[9 ^ [] = 8 ^ []],extension(2)).
% 0.35/1.41  %-----------------------------------------------------
% 0.35/1.42  
% 0.35/1.42  % SZS output end Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
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