%------------------------------------------------------------------------------
% File     : leanCoP---2.2
% Problem  : SET604+3 : TPTP v8.1.0. Released v2.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : leancop_casc.sh %s %d

% Computer : n011.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 02:54:38 EDT 2022

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

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : SET604+3 : TPTP v8.1.0. Released v2.2.0.
% 0.03/0.12  % Command  : leancop_casc.sh %s %d
% 0.11/0.33  % Computer : n011.cluster.edu
% 0.11/0.33  % Model    : x86_64 x86_64
% 0.11/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33  % Memory   : 8042.1875MB
% 0.11/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33  % CPULimit : 300
% 0.11/0.33  % WCLimit  : 600
% 0.11/0.33  % DateTime : Sun Jul 10 14:03:56 EDT 2022
% 0.11/0.33  % 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_no_difference_with_empty_set, conjecture, ! [_15461] : difference(empty_set, _15461) = empty_set, file('/export/starexec/sandbox/benchmark/theBenchmark.p', prove_no_difference_with_empty_set)).
% 0.32/1.41  fof(empty_set_subset, axiom, ! [_15587] : subset(empty_set, _15587), file('/export/starexec/sandbox/benchmark/theBenchmark.p', empty_set_subset)).
% 0.32/1.41  fof(difference_empty_set, axiom, ! [_15695, _15698] : (difference(_15695, _15698) = empty_set <=> subset(_15695, _15698)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', difference_empty_set)).
% 0.32/1.41  
% 0.32/1.41  cnf(1, plain, [difference(empty_set, 3 ^ []) = empty_set], clausify(prove_no_difference_with_empty_set)).
% 0.32/1.41  cnf(2, plain, [-(subset(empty_set, _8598))], clausify(empty_set_subset)).
% 0.32/1.41  cnf(3, plain, [-(difference(_8772, _8820) = empty_set), subset(_8772, _8820)], clausify(difference_empty_set)).
% 0.32/1.41  
% 0.32/1.41  cnf('1',plain,[difference(empty_set, 3 ^ []) = empty_set],start(1)).
% 0.32/1.41  cnf('1.1',plain,[-(difference(empty_set, 3 ^ []) = empty_set), subset(empty_set, 3 ^ [])],extension(3,bind([[_8772, _8820], [empty_set, 3 ^ []]]))).
% 0.32/1.41  cnf('1.1.1',plain,[-(subset(empty_set, 3 ^ []))],extension(2,bind([[_8598], [3 ^ []]]))).
% 0.32/1.41  %-----------------------------------------------------
% 0.32/1.42  
% 0.32/1.42  % SZS output end Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
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