%------------------------------------------------------------------------------
% File     : leanCoP---2.2
% Problem  : SET583+3 : TPTP v8.1.0. Released v2.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : leancop_casc.sh %s %d

% Computer : n025.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 02:54:23 EDT 2022

% Result   : Theorem 0.32s 1.40s
% Output   : Proof 0.40s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem  : SET583+3 : TPTP v8.1.0. Released v2.2.0.
% 0.06/0.12  % Command  : leancop_casc.sh %s %d
% 0.13/0.33  % Computer : n025.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit : 300
% 0.13/0.33  % WCLimit  : 600
% 0.13/0.33  % DateTime : Sat Jul  9 16:42:31 EDT 2022
% 0.13/0.33  % CPUTime  : 
% 0.32/1.40  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.32/1.41  % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.32/1.41  
% 0.32/1.41  %-----------------------------------------------------
% 0.32/1.41  fof(prove_extensionality, conjecture, ! [_10346, _10349] : (subset(_10346, _10349) & subset(_10349, _10346) => _10346 = _10349), file('/export/starexec/sandbox/benchmark/theBenchmark.p', prove_extensionality)).
% 0.32/1.41  fof(equal_defn, axiom, ! [_10540, _10543] : (_10540 = _10543 <=> subset(_10540, _10543) & subset(_10543, _10540)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', equal_defn)).
% 0.32/1.41  
% 0.32/1.41  cnf(1, plain, [-(subset(2 ^ [], 3 ^ []))], clausify(prove_extensionality)).
% 0.32/1.41  cnf(2, plain, [-(subset(3 ^ [], 2 ^ []))], clausify(prove_extensionality)).
% 0.32/1.41  cnf(3, plain, [2 ^ [] = 3 ^ []], clausify(prove_extensionality)).
% 0.32/1.41  cnf(4, plain, [-(_6222 = _6273), subset(_6222, _6273), subset(_6273, _6222)], clausify(equal_defn)).
% 0.32/1.41  
% 0.32/1.41  cnf('1',plain,[2 ^ [] = 3 ^ []],start(3)).
% 0.32/1.41  cnf('1.1',plain,[-(2 ^ [] = 3 ^ []), subset(2 ^ [], 3 ^ []), subset(3 ^ [], 2 ^ [])],extension(4,bind([[_6273, _6222], [3 ^ [], 2 ^ []]]))).
% 0.32/1.41  cnf('1.1.1',plain,[-(subset(2 ^ [], 3 ^ []))],extension(1)).
% 0.32/1.41  cnf('1.1.2',plain,[-(subset(3 ^ [], 2 ^ []))],extension(2)).
% 0.32/1.41  %-----------------------------------------------------
% 0.40/1.42  
% 0.40/1.42  % SZS output end Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
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