%------------------------------------------------------------------------------
% File     : leanCoP---2.2
% Problem  : SET983+1 : TPTP v8.1.0. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : leancop_casc.sh %s %d

% Computer : n003.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 02:57:29 EDT 2022

% Result   : Theorem 0.35s 1.41s
% Output   : Proof 0.35s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12  % Problem  : SET983+1 : TPTP v8.1.0. Released v3.2.0.
% 0.12/0.13  % Command  : leancop_casc.sh %s %d
% 0.13/0.34  % Computer : n003.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 15:11:44 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.35/1.41  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.35/1.42  % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.35/1.42  
% 0.35/1.42  %-----------------------------------------------------
% 0.35/1.42  fof(t137_zfmisc_1, conjecture, ! [_17418, _17421, _17424, _17427, _17430] : (in(_17418, cartesian_product2(_17421, _17424)) & in(_17418, cartesian_product2(_17427, _17430)) => in(_17418, cartesian_product2(set_intersection2(_17421, _17427), set_intersection2(_17424, _17430)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', t137_zfmisc_1)).
% 0.35/1.42  fof(t123_zfmisc_1, axiom, ! [_17732, _17735, _17738, _17741] : cartesian_product2(set_intersection2(_17732, _17735), set_intersection2(_17738, _17741)) = set_intersection2(cartesian_product2(_17732, _17738), cartesian_product2(_17735, _17741)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', t123_zfmisc_1)).
% 0.35/1.42  fof(d3_xboole_0, axiom, ! [_17966, _17969, _17972] : (_17972 = set_intersection2(_17966, _17969) <=> ! [_17993] : (in(_17993, _17972) <=> in(_17993, _17966) & in(_17993, _17969))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', d3_xboole_0)).
% 0.35/1.42  
% 0.35/1.42  cnf(1, plain, [-(in(4 ^ [], cartesian_product2(5 ^ [], 6 ^ [])))], clausify(t137_zfmisc_1)).
% 0.35/1.42  cnf(2, plain, [-(in(4 ^ [], cartesian_product2(7 ^ [], 8 ^ [])))], clausify(t137_zfmisc_1)).
% 0.35/1.42  cnf(3, plain, [in(4 ^ [], cartesian_product2(set_intersection2(5 ^ [], 7 ^ []), set_intersection2(6 ^ [], 8 ^ [])))], clausify(t137_zfmisc_1)).
% 0.35/1.42  cnf(4, plain, [-(cartesian_product2(set_intersection2(_10758, _10825), set_intersection2(_10891, _10956)) = set_intersection2(cartesian_product2(_10758, _10891), cartesian_product2(_10825, _10956)))], clausify(t123_zfmisc_1)).
% 0.35/1.42  cnf(5, plain, [_9631 = set_intersection2(_9492, _9562), -(in(_9795, _9631)), in(_9795, _9492), in(_9795, _9562)], clausify(d3_xboole_0)).
% 0.35/1.42  
% 0.35/1.42  cnf('1',plain,[in(4 ^ [], cartesian_product2(set_intersection2(5 ^ [], 7 ^ []), set_intersection2(6 ^ [], 8 ^ [])))],start(3)).
% 0.35/1.42  cnf('1.1',plain,[-(in(4 ^ [], cartesian_product2(set_intersection2(5 ^ [], 7 ^ []), set_intersection2(6 ^ [], 8 ^ [])))), cartesian_product2(set_intersection2(5 ^ [], 7 ^ []), set_intersection2(6 ^ [], 8 ^ [])) = set_intersection2(cartesian_product2(5 ^ [], 6 ^ []), cartesian_product2(7 ^ [], 8 ^ [])), in(4 ^ [], cartesian_product2(5 ^ [], 6 ^ [])), in(4 ^ [], cartesian_product2(7 ^ [], 8 ^ []))],extension(5,bind([[_9631, _9492, _9795, _9562], [cartesian_product2(set_intersection2(5 ^ [], 7 ^ []), set_intersection2(6 ^ [], 8 ^ [])), cartesian_product2(5 ^ [], 6 ^ []), 4 ^ [], cartesian_product2(7 ^ [], 8 ^ [])]]))).
% 0.35/1.42  cnf('1.1.1',plain,[-(cartesian_product2(set_intersection2(5 ^ [], 7 ^ []), set_intersection2(6 ^ [], 8 ^ [])) = set_intersection2(cartesian_product2(5 ^ [], 6 ^ []), cartesian_product2(7 ^ [], 8 ^ [])))],extension(4,bind([[_10758, _10891, _10825, _10956], [5 ^ [], 6 ^ [], 7 ^ [], 8 ^ []]]))).
% 0.35/1.42  cnf('1.1.2',plain,[-(in(4 ^ [], cartesian_product2(5 ^ [], 6 ^ [])))],extension(1)).
% 0.35/1.42  cnf('1.1.3',plain,[-(in(4 ^ [], cartesian_product2(7 ^ [], 8 ^ [])))],extension(2)).
% 0.35/1.42  %-----------------------------------------------------
% 0.35/1.43  
% 0.35/1.43  % SZS output end Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
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