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leanCoP---2.2.THM-Prf.s

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%------------------------------------------------------------------------------
% File     : leanCoP---2.2
% Problem  : SEU112+1 : TPTP v8.1.0. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : leancop_casc.sh %s %d

% Computer : n012.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 12:00:11 EDT 2022

% Result   : Theorem 113.54s 110.07s
% Output   : Proof 113.60s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : SEU112+1 : TPTP v8.1.0. Released v3.2.0.
% 0.03/0.13  % Command  : leancop_casc.sh %s %d
% 0.13/0.34  % Computer : n012.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 Jun 20 11:28:07 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 113.54/110.07  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 113.54/110.08  % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 113.60/110.08  
% 113.60/110.08  %-----------------------------------------------------
% 113.60/110.08  fof(t25_finsub_1, conjecture, ! [_54722, _54725] : subset(set_union2(finite_subsets(_54722), finite_subsets(_54725)), finite_subsets(set_union2(_54722, _54725))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', t25_finsub_1)).
% 113.60/110.08  fof(commutativity_k2_xboole_0, axiom, ! [_54906, _54909] : set_union2(_54906, _54909) = set_union2(_54909, _54906), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', commutativity_k2_xboole_0)).
% 113.60/110.08  fof(t23_finsub_1, axiom, ! [_55100, _55103] : (subset(_55100, _55103) => subset(finite_subsets(_55100), finite_subsets(_55103))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', t23_finsub_1)).
% 113.60/110.08  fof(t7_xboole_1, axiom, ! [_55271, _55274] : subset(_55271, set_union2(_55271, _55274)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', t7_xboole_1)).
% 113.60/110.08  fof(t8_xboole_1, axiom, ! [_55406, _55409, _55412] : (subset(_55406, _55409) & subset(_55412, _55409) => subset(set_union2(_55406, _55412), _55409)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', t8_xboole_1)).
% 113.60/110.08  
% 113.60/110.08  cnf(1, plain, [subset(set_union2(finite_subsets(11 ^ []), finite_subsets(12 ^ [])), finite_subsets(set_union2(11 ^ [], 12 ^ [])))], clausify(t25_finsub_1)).
% 113.60/110.08  cnf(2, plain, [-(set_union2(_27812, _27857) = set_union2(_27857, _27812))], clausify(commutativity_k2_xboole_0)).
% 113.60/110.08  cnf(3, plain, [subset(_35142, _35191), -(subset(finite_subsets(_35142), finite_subsets(_35191)))], clausify(t23_finsub_1)).
% 113.60/110.08  cnf(4, plain, [-(subset(_37710, set_union2(_37710, _37752)))], clausify(t7_xboole_1)).
% 113.60/110.08  cnf(5, plain, [-(subset(set_union2(_38357, _38474), _38416)), subset(_38357, _38416), subset(_38474, _38416)], clausify(t8_xboole_1)).
% 113.60/110.08  cnf(6, plain, [-(_17439 = _17439)], theory(equality)).
% 113.60/110.08  cnf(7, plain, [-(subset(_23929, _24060)), subset(_23862, _23995), _23862 = _23929, _23995 = _24060], theory(equality)).
% 113.60/110.08  
% 113.60/110.08  cnf('1',plain,[subset(set_union2(finite_subsets(11 ^ []), finite_subsets(12 ^ [])), finite_subsets(set_union2(11 ^ [], 12 ^ [])))],start(1)).
% 113.60/110.08  cnf('1.1',plain,[-(subset(set_union2(finite_subsets(11 ^ []), finite_subsets(12 ^ [])), finite_subsets(set_union2(11 ^ [], 12 ^ [])))), subset(finite_subsets(11 ^ []), finite_subsets(set_union2(11 ^ [], 12 ^ []))), subset(finite_subsets(12 ^ []), finite_subsets(set_union2(11 ^ [], 12 ^ [])))],extension(5,bind([[_38357, _38474, _38416], [finite_subsets(11 ^ []), finite_subsets(12 ^ []), finite_subsets(set_union2(11 ^ [], 12 ^ []))]]))).
% 113.60/110.08  cnf('1.1.1',plain,[-(subset(finite_subsets(11 ^ []), finite_subsets(set_union2(11 ^ [], 12 ^ [])))), subset(11 ^ [], set_union2(11 ^ [], 12 ^ []))],extension(3,bind([[_35142, _35191], [11 ^ [], set_union2(11 ^ [], 12 ^ [])]]))).
% 113.60/110.08  cnf('1.1.1.1',plain,[-(subset(11 ^ [], set_union2(11 ^ [], 12 ^ [])))],extension(4,bind([[_37710, _37752], [11 ^ [], 12 ^ []]]))).
% 113.60/110.08  cnf('1.1.2',plain,[-(subset(finite_subsets(12 ^ []), finite_subsets(set_union2(11 ^ [], 12 ^ [])))), subset(12 ^ [], set_union2(11 ^ [], 12 ^ []))],extension(3,bind([[_35142, _35191], [12 ^ [], set_union2(11 ^ [], 12 ^ [])]]))).
% 113.60/110.08  cnf('1.1.2.1',plain,[-(subset(12 ^ [], set_union2(11 ^ [], 12 ^ []))), subset(12 ^ [], set_union2(12 ^ [], 11 ^ [])), 12 ^ [] = 12 ^ [], set_union2(12 ^ [], 11 ^ []) = set_union2(11 ^ [], 12 ^ [])],extension(7,bind([[_23862, _23929, _23995, _24060], [12 ^ [], 12 ^ [], set_union2(12 ^ [], 11 ^ []), set_union2(11 ^ [], 12 ^ [])]]))).
% 113.60/110.08  cnf('1.1.2.1.1',plain,[-(subset(12 ^ [], set_union2(12 ^ [], 11 ^ [])))],extension(4,bind([[_37710, _37752], [12 ^ [], 11 ^ []]]))).
% 113.60/110.08  cnf('1.1.2.1.2',plain,[-(12 ^ [] = 12 ^ [])],extension(6,bind([[_17439], [12 ^ []]]))).
% 113.60/110.08  cnf('1.1.2.1.3',plain,[-(set_union2(12 ^ [], 11 ^ []) = set_union2(11 ^ [], 12 ^ []))],extension(2,bind([[_27857, _27812], [11 ^ [], 12 ^ []]]))).
% 113.60/110.08  %-----------------------------------------------------
% 113.60/110.09  
% 113.60/110.09  % SZS output end Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
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