%------------------------------------------------------------------------------
% File     : leanCoP---2.2
% Problem  : SET618+3 : TPTP v8.1.0. Released v2.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : leancop_casc.sh %s %d

% Computer : n016.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 02:54:49 EDT 2022

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

% Comments : 
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%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SET618+3 : TPTP v8.1.0. Released v2.2.0.
% 0.07/0.13  % Command  : leancop_casc.sh %s %d
% 0.13/0.34  % Computer : n016.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 : Sun Jul 10 07:04:41 EDT 2022
% 0.13/0.35  % CPUTime  : 
% 0.33/1.42  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.33/1.43  % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.33/1.43  
% 0.33/1.43  %-----------------------------------------------------
% 0.33/1.43  fof(prove_th93, conjecture, ! [_20644] : symmetric_difference(_20644, _20644) = empty_set, file('/export/starexec/sandbox/benchmark/theBenchmark.p', prove_th93)).
% 0.33/1.43  fof(symmetric_difference_defn, axiom, ! [_20763, _20766] : symmetric_difference(_20763, _20766) = union(difference(_20763, _20766), difference(_20766, _20763)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', symmetric_difference_defn)).
% 0.33/1.43  fof(idempotency_of_union, axiom, ! [_20941] : union(_20941, _20941) = _20941, file('/export/starexec/sandbox/benchmark/theBenchmark.p', idempotency_of_union)).
% 0.33/1.43  fof(self_difference_is_empty_set, axiom, ! [_21060] : difference(_21060, _21060) = empty_set, file('/export/starexec/sandbox/benchmark/theBenchmark.p', self_difference_is_empty_set)).
% 0.33/1.43  
% 0.33/1.43  cnf(1, plain, [symmetric_difference(4 ^ [], 4 ^ []) = empty_set], clausify(prove_th93)).
% 0.33/1.43  cnf(2, plain, [-(symmetric_difference(_10729, _10780) = union(difference(_10729, _10780), difference(_10780, _10729)))], clausify(symmetric_difference_defn)).
% 0.33/1.43  cnf(3, plain, [-(union(_11125, _11125) = _11125)], clausify(idempotency_of_union)).
% 0.33/1.43  cnf(4, plain, [-(difference(_11339, _11339) = empty_set)], clausify(self_difference_is_empty_set)).
% 0.33/1.43  cnf(5, plain, [-(_6713 = _6824), _6713 = _6769, _6769 = _6824], theory(equality)).
% 0.33/1.43  
% 0.33/1.43  cnf('1',plain,[symmetric_difference(4 ^ [], 4 ^ []) = empty_set],start(1)).
% 0.33/1.43  cnf('1.1',plain,[-(symmetric_difference(4 ^ [], 4 ^ []) = empty_set), symmetric_difference(4 ^ [], 4 ^ []) = union(difference(4 ^ [], 4 ^ []), difference(4 ^ [], 4 ^ [])), union(difference(4 ^ [], 4 ^ []), difference(4 ^ [], 4 ^ [])) = empty_set],extension(5,bind([[_6713, _6769, _6824], [symmetric_difference(4 ^ [], 4 ^ []), union(difference(4 ^ [], 4 ^ []), difference(4 ^ [], 4 ^ [])), empty_set]]))).
% 0.33/1.43  cnf('1.1.1',plain,[-(symmetric_difference(4 ^ [], 4 ^ []) = union(difference(4 ^ [], 4 ^ []), difference(4 ^ [], 4 ^ [])))],extension(2,bind([[_10780, _10729], [4 ^ [], 4 ^ []]]))).
% 0.33/1.43  cnf('1.1.2',plain,[-(union(difference(4 ^ [], 4 ^ []), difference(4 ^ [], 4 ^ [])) = empty_set), union(difference(4 ^ [], 4 ^ []), difference(4 ^ [], 4 ^ [])) = difference(4 ^ [], 4 ^ []), difference(4 ^ [], 4 ^ []) = empty_set],extension(5,bind([[_6713, _6769, _6824], [union(difference(4 ^ [], 4 ^ []), difference(4 ^ [], 4 ^ [])), difference(4 ^ [], 4 ^ []), empty_set]]))).
% 0.33/1.43  cnf('1.1.2.1',plain,[-(union(difference(4 ^ [], 4 ^ []), difference(4 ^ [], 4 ^ [])) = difference(4 ^ [], 4 ^ []))],extension(3,bind([[_11125], [difference(4 ^ [], 4 ^ [])]]))).
% 0.33/1.43  cnf('1.1.2.2',plain,[-(difference(4 ^ [], 4 ^ []) = empty_set)],extension(4,bind([[_11339], [4 ^ []]]))).
% 0.33/1.43  %-----------------------------------------------------
% 0.33/1.44  
% 0.33/1.44  % SZS output end Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
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