%------------------------------------------------------------------------------
% File     : leanCoP---2.2
% Problem  : SET002+3 : TPTP v8.1.0. Released v2.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : leancop_casc.sh %s %d

% Computer : n027.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 02:49:42 EDT 2022

% Result   : Theorem 0.38s 1.45s
% Output   : Proof 0.44s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.14  % Problem  : SET002+3 : TPTP v8.1.0. Released v2.2.0.
% 0.04/0.14  % Command  : leancop_casc.sh %s %d
% 0.14/0.36  % Computer : n027.cluster.edu
% 0.14/0.36  % Model    : x86_64 x86_64
% 0.14/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36  % Memory   : 8042.1875MB
% 0.14/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit : 300
% 0.14/0.36  % WCLimit  : 600
% 0.14/0.36  % DateTime : Sat Jul  9 19:50:02 EDT 2022
% 0.14/0.36  % CPUTime  : 
% 0.38/1.45  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.38/1.46  % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.44/1.46  
% 0.44/1.46  %-----------------------------------------------------
% 0.44/1.46  fof(prove_idempotency_of_union, conjecture, ! [_15147] : union(_15147, _15147) = _15147, file('/export/starexec/sandbox2/benchmark/theBenchmark.p', prove_idempotency_of_union)).
% 0.44/1.46  fof(subset_union, axiom, ! [_15272, _15275] : (subset(_15272, _15275) => union(_15272, _15275) = _15275), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', subset_union)).
% 0.44/1.46  fof(reflexivity_of_subset, axiom, ! [_15440] : subset(_15440, _15440), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', reflexivity_of_subset)).
% 0.44/1.46  
% 0.44/1.46  cnf(1, plain, [union(3 ^ [], 3 ^ []) = 3 ^ []], clausify(prove_idempotency_of_union)).
% 0.44/1.46  cnf(2, plain, [subset(_8171, _8219), -(union(_8171, _8219) = _8219)], clausify(subset_union)).
% 0.44/1.46  cnf(3, plain, [-(subset(_10204, _10204))], clausify(reflexivity_of_subset)).
% 0.44/1.46  
% 0.44/1.46  cnf('1',plain,[union(3 ^ [], 3 ^ []) = 3 ^ []],start(1)).
% 0.44/1.46  cnf('1.1',plain,[-(union(3 ^ [], 3 ^ []) = 3 ^ []), subset(3 ^ [], 3 ^ [])],extension(2,bind([[_8171, _8219], [3 ^ [], 3 ^ []]]))).
% 0.44/1.46  cnf('1.1.1',plain,[-(subset(3 ^ [], 3 ^ []))],extension(3,bind([[_10204], [3 ^ []]]))).
% 0.44/1.46  %-----------------------------------------------------
% 0.44/1.47  
% 0.44/1.47  % SZS output end Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
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