%------------------------------------------------------------------------------
% File     : leanCoP---2.2
% Problem  : SET146+3 : TPTP v8.1.0. Released v2.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : leancop_casc.sh %s %d

% Computer : n008.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 02:51:50 EDT 2022

% Result   : Theorem 0.37s 1.41s
% Output   : Proof 0.37s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : SET146+3 : TPTP v8.1.0. Released v2.2.0.
% 0.11/0.12  % Command  : leancop_casc.sh %s %d
% 0.12/0.34  % Computer : n008.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 600
% 0.12/0.34  % DateTime : Sun Jul 10 00:50:08 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.37/1.41  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.37/1.42  % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.37/1.42  
% 0.37/1.42  %-----------------------------------------------------
% 0.37/1.42  fof(prove_th61, conjecture, ! [_17266] : intersection(_17266, empty_set) = empty_set, file('/export/starexec/sandbox2/benchmark/theBenchmark.p', prove_th61)).
% 0.37/1.42  fof(intersection_defn, axiom, ! [_17393, _17396, _17399] : (member(_17399, intersection(_17393, _17396)) <=> member(_17399, _17393) & member(_17399, _17396)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', intersection_defn)).
% 0.37/1.42  fof(empty_set_defn, axiom, ! [_17595] : ~ member(_17595, empty_set), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', empty_set_defn)).
% 0.37/1.42  fof(equal_member_defn, axiom, ! [_17722, _17725] : (_17722 = _17725 <=> ! [_17739] : (member(_17739, _17722) <=> member(_17739, _17725))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', equal_member_defn)).
% 0.37/1.42  
% 0.37/1.42  cnf(1, plain, [intersection(4 ^ [], empty_set) = empty_set], clausify(prove_th61)).
% 0.37/1.42  cnf(2, plain, [member(_8890, intersection(_8773, _8832)), -(member(_8890, _8832))], clausify(intersection_defn)).
% 0.37/1.42  cnf(3, plain, [member(_9286, empty_set)], clausify(empty_set_defn)).
% 0.37/1.42  cnf(4, plain, [-(_11111 = _11167), -(member(3 ^ [_11167, _11111], _11111)), -(member(3 ^ [_11167, _11111], _11167))], clausify(equal_member_defn)).
% 0.37/1.42  
% 0.37/1.42  cnf('1',plain,[member(3 ^ [empty_set, intersection(4 ^ [], empty_set)], empty_set)],start(3,bind([[_9286], [3 ^ [empty_set, intersection(4 ^ [], empty_set)]]]))).
% 0.37/1.42  cnf('1.1',plain,[-(member(3 ^ [empty_set, intersection(4 ^ [], empty_set)], empty_set)), member(3 ^ [empty_set, intersection(4 ^ [], empty_set)], intersection(4 ^ [], empty_set))],extension(2,bind([[_8890, _8773, _8832], [3 ^ [empty_set, intersection(4 ^ [], empty_set)], 4 ^ [], empty_set]]))).
% 0.37/1.42  cnf('1.1.1',plain,[-(member(3 ^ [empty_set, intersection(4 ^ [], empty_set)], intersection(4 ^ [], empty_set))), -(intersection(4 ^ [], empty_set) = empty_set), -(member(3 ^ [empty_set, intersection(4 ^ [], empty_set)], empty_set))],extension(4,bind([[_11111, _11167], [intersection(4 ^ [], empty_set), empty_set]]))).
% 0.37/1.42  cnf('1.1.1.1',plain,[intersection(4 ^ [], empty_set) = empty_set],extension(1)).
% 0.37/1.42  cnf('1.1.1.2',plain,[member(3 ^ [empty_set, intersection(4 ^ [], empty_set)], empty_set)],extension(3,bind([[_9286], [3 ^ [empty_set, intersection(4 ^ [], empty_set)]]]))).
% 0.37/1.42  %-----------------------------------------------------
% 0.37/1.43  
% 0.37/1.43  % SZS output end Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
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