%------------------------------------------------------------------------------
% File     : leanCoP---2.2
% Problem  : SYN966+1 : TPTP v8.1.0. Released v3.1.0.
% 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 : Thu Jul 21 08:22:03 EDT 2022

% Result   : Theorem 0.33s 1.42s
% Output   : Proof 0.41s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SYN966+1 : TPTP v8.1.0. Released v3.1.0.
% 0.07/0.13  % Command  : leancop_casc.sh %s %d
% 0.13/0.34  % Computer : n025.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 19:51:47 EDT 2022
% 0.13/0.35  % CPUTime  : 
% 0.33/1.42  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.33/1.43  % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.41/1.43  
% 0.41/1.43  %-----------------------------------------------------
% 0.41/1.43  fof(prove_this, conjecture, ! [_7394, _7397] : (eq(_7394, _7397) <=> ! [_7415] : (a_member_of(_7415, _7394) <=> a_member_of(_7415, _7397))) => ! [_7443, _7446] : (eq(_7443, _7446) => eq(_7446, _7443)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', prove_this)).
% 0.41/1.43  
% 0.41/1.43  cnf(1, plain, [-(eq(2 ^ [], 3 ^ []))], clausify(prove_this)).
% 0.41/1.43  cnf(2, plain, [eq(3 ^ [], 2 ^ [])], clausify(prove_this)).
% 0.41/1.43  cnf(3, plain, [eq(_2995, _3051), a_member_of(_3165, _2995), -(a_member_of(_3165, _3051))], clausify(prove_this)).
% 0.41/1.43  cnf(4, plain, [eq(_2995, _3051), -(a_member_of(_3165, _2995)), a_member_of(_3165, _3051)], clausify(prove_this)).
% 0.41/1.43  cnf(5, plain, [-(eq(_2995, _3051)), a_member_of(1 ^ [_3051, _2995], _2995), a_member_of(1 ^ [_3051, _2995], _3051)], clausify(prove_this)).
% 0.41/1.43  cnf(6, plain, [-(eq(_2995, _3051)), -(a_member_of(1 ^ [_3051, _2995], _2995)), -(a_member_of(1 ^ [_3051, _2995], _3051))], clausify(prove_this)).
% 0.41/1.43  
% 0.41/1.43  cnf('1',plain,[eq(3 ^ [], 2 ^ [])],start(2)).
% 0.41/1.43  cnf('1.1',plain,[-(eq(3 ^ [], 2 ^ [])), a_member_of(1 ^ [2 ^ [], 3 ^ []], 3 ^ []), a_member_of(1 ^ [2 ^ [], 3 ^ []], 2 ^ [])],extension(5,bind([[_2995, _3051], [3 ^ [], 2 ^ []]]))).
% 0.41/1.43  cnf('1.1.1',plain,[-(a_member_of(1 ^ [2 ^ [], 3 ^ []], 3 ^ [])), eq(2 ^ [], 3 ^ []), a_member_of(1 ^ [2 ^ [], 3 ^ []], 2 ^ [])],extension(3,bind([[_3051, _3165, _2995], [3 ^ [], 1 ^ [2 ^ [], 3 ^ []], 2 ^ []]]))).
% 0.41/1.43  cnf('1.1.1.1',plain,[-(eq(2 ^ [], 3 ^ []))],extension(1)).
% 0.41/1.43  cnf('1.1.1.2',plain,[-(a_member_of(1 ^ [2 ^ [], 3 ^ []], 2 ^ [])), -(eq(3 ^ [], 2 ^ [])), -(a_member_of(1 ^ [2 ^ [], 3 ^ []], 3 ^ []))],extension(6,bind([[_3051, _2995], [2 ^ [], 3 ^ []]]))).
% 0.41/1.43  cnf('1.1.1.2.1',plain,[eq(3 ^ [], 2 ^ [])],extension(2)).
% 0.41/1.43  cnf('1.1.1.2.2',plain,[a_member_of(1 ^ [2 ^ [], 3 ^ []], 3 ^ [])],reduction('1.1')).
% 0.41/1.43  cnf('1.1.2',plain,[-(a_member_of(1 ^ [2 ^ [], 3 ^ []], 2 ^ [])), eq(2 ^ [], 3 ^ []), a_member_of(1 ^ [2 ^ [], 3 ^ []], 3 ^ [])],extension(4,bind([[_2995, _3165, _3051], [2 ^ [], 1 ^ [2 ^ [], 3 ^ []], 3 ^ []]]))).
% 0.41/1.43  cnf('1.1.2.1',plain,[-(eq(2 ^ [], 3 ^ []))],extension(1)).
% 0.41/1.43  cnf('1.1.2.2',plain,[-(a_member_of(1 ^ [2 ^ [], 3 ^ []], 3 ^ []))],lemmata('1.1')).
% 0.41/1.43  %-----------------------------------------------------
% 0.41/1.44  
% 0.41/1.44  % SZS output end Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
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