TSTP Solution File: SEU337+2 by leanCoP---2.2
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- Process Solution
%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : SEU337+2 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : leancop_casc.sh %s %d
% Computer : n032.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 12:02:06 EDT 2022
% Result : Theorem 170.03s 164.76s
% Output : Proof 170.03s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.07 % Problem : SEU337+2 : TPTP v8.1.0. Released v3.3.0.
% 0.00/0.08 % Command : leancop_casc.sh %s %d
% 0.07/0.26 % Computer : n032.cluster.edu
% 0.07/0.26 % Model : x86_64 x86_64
% 0.07/0.26 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.26 % Memory : 8042.1875MB
% 0.07/0.26 % OS : Linux 3.10.0-693.el7.x86_64
% 0.07/0.26 % CPULimit : 300
% 0.07/0.26 % WCLimit : 600
% 0.07/0.26 % DateTime : Mon Jun 20 04:36:18 EDT 2022
% 0.07/0.26 % CPUTime :
% 170.03/164.76 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 170.03/164.76 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 170.03/164.77
% 170.03/164.77 %-----------------------------------------------------
% 170.03/164.77 fof(t17_tops_2, conjecture, ! [_711178] : (top_str(_711178) => ! [_711193] : (element(_711193, powerset(powerset(the_carrier(_711178)))) => (open_subsets(_711193, _711178) <=> closed_subsets(complements_of_subsets(the_carrier(_711178), _711193), _711178)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', t17_tops_2)).
% 170.03/164.77 fof(t16_tops_2, lemma, ! [_711638] : (top_str(_711638) => ! [_711653] : (element(_711653, powerset(powerset(the_carrier(_711638)))) => (closed_subsets(_711653, _711638) <=> open_subsets(complements_of_subsets(the_carrier(_711638), _711653), _711638)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', t16_tops_2)).
% 170.03/164.77 fof(dt_k7_setfam_1, axiom, ! [_713469, _713472] : (element(_713472, powerset(powerset(_713469))) => element(complements_of_subsets(_713469, _713472), powerset(powerset(_713469)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', dt_k7_setfam_1)).
% 170.03/164.77 fof(involutiveness_k7_setfam_1, axiom, ! [_713775, _713778] : (element(_713778, powerset(powerset(_713775))) => complements_of_subsets(_713775, complements_of_subsets(_713775, _713778)) = _713778), file('/export/starexec/sandbox/benchmark/theBenchmark.p', involutiveness_k7_setfam_1)).
% 170.03/164.77
% 170.03/164.77 cnf(1, plain, [-(907 ^ []), open_subsets(905 ^ [], 904 ^ [])], clausify(t17_tops_2)).
% 170.03/164.77 cnf(2, plain, [-(907 ^ []), -(closed_subsets(complements_of_subsets(the_carrier(904 ^ []), 905 ^ []), 904 ^ []))], clausify(t17_tops_2)).
% 170.03/164.77 cnf(3, plain, [-(906 ^ []), closed_subsets(complements_of_subsets(the_carrier(904 ^ []), 905 ^ []), 904 ^ [])], clausify(t17_tops_2)).
% 170.03/164.77 cnf(4, plain, [-(906 ^ []), -(open_subsets(905 ^ [], 904 ^ []))], clausify(t17_tops_2)).
% 170.03/164.77 cnf(5, plain, [-(803 ^ [_306860, _306755]), -(closed_subsets(_306860, _306755)), open_subsets(complements_of_subsets(the_carrier(_306755), _306860), _306755)], clausify(t16_tops_2)).
% 170.03/164.77 cnf(6, plain, [-(803 ^ [_306860, _306755]), closed_subsets(_306860, _306755), -(open_subsets(complements_of_subsets(the_carrier(_306755), _306860), _306755))], clausify(t16_tops_2)).
% 170.03/164.77 cnf(7, plain, [-(top_str(904 ^ []))], clausify(t17_tops_2)).
% 170.03/164.77 cnf(8, plain, [-(element(905 ^ [], powerset(powerset(the_carrier(904 ^ [])))))], clausify(t17_tops_2)).
% 170.03/164.77 cnf(9, plain, [906 ^ [], 907 ^ []], clausify(t17_tops_2)).
% 170.03/164.77 cnf(10, plain, [-(_36456 = _36456)], theory(equality)).
% 170.03/164.77 cnf(11, plain, [_36470 = _36471, -(_36471 = _36470)], theory(equality)).
% 170.03/164.77 cnf(12, plain, [-(open_subsets(_37911, _37913)), open_subsets(_37910, _37912), _37910 = _37911, _37912 = _37913], theory(equality)).
% 170.03/164.77 cnf(13, plain, [element(_116983, powerset(powerset(_116927))), -(element(complements_of_subsets(_116927, _116983), powerset(powerset(_116927))))], clausify(dt_k7_setfam_1)).
% 170.03/164.77 cnf(14, plain, [element(_150596, powerset(powerset(_150541))), -(complements_of_subsets(_150541, complements_of_subsets(_150541, _150596)) = _150596)], clausify(involutiveness_k7_setfam_1)).
% 170.03/164.77 cnf(15, plain, [top_str(_306755), element(_306860, powerset(powerset(the_carrier(_306755)))), 803 ^ [_306860, _306755]], clausify(t16_tops_2)).
% 170.03/164.77
% 170.03/164.77 cnf('1',plain,[906 ^ [], 907 ^ []],start(9)).
% 170.03/164.77 cnf('1.1',plain,[-(906 ^ []), closed_subsets(complements_of_subsets(the_carrier(904 ^ []), 905 ^ []), 904 ^ [])],extension(3)).
% 170.03/164.77 cnf('1.1.1',plain,[-(closed_subsets(complements_of_subsets(the_carrier(904 ^ []), 905 ^ []), 904 ^ [])), -(803 ^ [complements_of_subsets(the_carrier(904 ^ []), 905 ^ []), 904 ^ []]), open_subsets(complements_of_subsets(the_carrier(904 ^ []), complements_of_subsets(the_carrier(904 ^ []), 905 ^ [])), 904 ^ [])],extension(5,bind([[_306860, _306755], [complements_of_subsets(the_carrier(904 ^ []), 905 ^ []), 904 ^ []]]))).
% 170.03/164.77 cnf('1.1.1.1',plain,[803 ^ [complements_of_subsets(the_carrier(904 ^ []), 905 ^ []), 904 ^ []], top_str(904 ^ []), element(complements_of_subsets(the_carrier(904 ^ []), 905 ^ []), powerset(powerset(the_carrier(904 ^ []))))],extension(15,bind([[_306860, _306755], [complements_of_subsets(the_carrier(904 ^ []), 905 ^ []), 904 ^ []]]))).
% 170.03/164.77 cnf('1.1.1.1.1',plain,[-(top_str(904 ^ []))],extension(7)).
% 170.03/164.77 cnf('1.1.1.1.2',plain,[-(element(complements_of_subsets(the_carrier(904 ^ []), 905 ^ []), powerset(powerset(the_carrier(904 ^ []))))), element(905 ^ [], powerset(powerset(the_carrier(904 ^ []))))],extension(13,bind([[_116983, _116927], [905 ^ [], the_carrier(904 ^ [])]]))).
% 170.03/164.77 cnf('1.1.1.1.2.1',plain,[-(element(905 ^ [], powerset(powerset(the_carrier(904 ^ [])))))],extension(8)).
% 170.03/164.77 cnf('1.1.1.2',plain,[-(open_subsets(complements_of_subsets(the_carrier(904 ^ []), complements_of_subsets(the_carrier(904 ^ []), 905 ^ [])), 904 ^ [])), open_subsets(905 ^ [], 904 ^ []), 905 ^ [] = complements_of_subsets(the_carrier(904 ^ []), complements_of_subsets(the_carrier(904 ^ []), 905 ^ [])), 904 ^ [] = 904 ^ []],extension(12,bind([[_37910, _37911, _37912, _37913], [905 ^ [], complements_of_subsets(the_carrier(904 ^ []), complements_of_subsets(the_carrier(904 ^ []), 905 ^ [])), 904 ^ [], 904 ^ []]]))).
% 170.03/164.77 cnf('1.1.1.2.1',plain,[-(open_subsets(905 ^ [], 904 ^ [])), -(906 ^ [])],extension(4)).
% 170.03/164.77 cnf('1.1.1.2.1.1',plain,[906 ^ []],reduction('1')).
% 170.03/164.77 cnf('1.1.1.2.2',plain,[-(905 ^ [] = complements_of_subsets(the_carrier(904 ^ []), complements_of_subsets(the_carrier(904 ^ []), 905 ^ []))), complements_of_subsets(the_carrier(904 ^ []), complements_of_subsets(the_carrier(904 ^ []), 905 ^ [])) = 905 ^ []],extension(11,bind([[_36470, _36471], [complements_of_subsets(the_carrier(904 ^ []), complements_of_subsets(the_carrier(904 ^ []), 905 ^ [])), 905 ^ []]]))).
% 170.03/164.77 cnf('1.1.1.2.2.1',plain,[-(complements_of_subsets(the_carrier(904 ^ []), complements_of_subsets(the_carrier(904 ^ []), 905 ^ [])) = 905 ^ []), element(905 ^ [], powerset(powerset(the_carrier(904 ^ []))))],extension(14,bind([[_150596, _150541], [905 ^ [], the_carrier(904 ^ [])]]))).
% 170.03/164.77 cnf('1.1.1.2.2.1.1',plain,[-(element(905 ^ [], powerset(powerset(the_carrier(904 ^ [])))))],extension(8)).
% 170.03/164.77 cnf('1.1.1.2.3',plain,[-(904 ^ [] = 904 ^ [])],extension(10,bind([[_36456], [904 ^ []]]))).
% 170.03/164.77 cnf('1.2',plain,[-(907 ^ []), -(closed_subsets(complements_of_subsets(the_carrier(904 ^ []), 905 ^ []), 904 ^ []))],extension(2)).
% 170.03/164.77 cnf('1.2.1',plain,[closed_subsets(complements_of_subsets(the_carrier(904 ^ []), 905 ^ []), 904 ^ []), -(803 ^ [complements_of_subsets(the_carrier(904 ^ []), 905 ^ []), 904 ^ []]), -(open_subsets(complements_of_subsets(the_carrier(904 ^ []), complements_of_subsets(the_carrier(904 ^ []), 905 ^ [])), 904 ^ []))],extension(6,bind([[_306860, _306755], [complements_of_subsets(the_carrier(904 ^ []), 905 ^ []), 904 ^ []]]))).
% 170.03/164.77 cnf('1.2.1.1',plain,[803 ^ [complements_of_subsets(the_carrier(904 ^ []), 905 ^ []), 904 ^ []], top_str(904 ^ []), element(complements_of_subsets(the_carrier(904 ^ []), 905 ^ []), powerset(powerset(the_carrier(904 ^ []))))],extension(15,bind([[_306860, _306755], [complements_of_subsets(the_carrier(904 ^ []), 905 ^ []), 904 ^ []]]))).
% 170.03/164.77 cnf('1.2.1.1.1',plain,[-(top_str(904 ^ []))],extension(7)).
% 170.03/164.77 cnf('1.2.1.1.2',plain,[-(element(complements_of_subsets(the_carrier(904 ^ []), 905 ^ []), powerset(powerset(the_carrier(904 ^ []))))), element(905 ^ [], powerset(powerset(the_carrier(904 ^ []))))],extension(13,bind([[_116983, _116927], [905 ^ [], the_carrier(904 ^ [])]]))).
% 170.03/164.77 cnf('1.2.1.1.2.1',plain,[-(element(905 ^ [], powerset(powerset(the_carrier(904 ^ [])))))],extension(8)).
% 170.03/164.77 cnf('1.2.1.2',plain,[open_subsets(complements_of_subsets(the_carrier(904 ^ []), complements_of_subsets(the_carrier(904 ^ []), 905 ^ [])), 904 ^ []), -(open_subsets(905 ^ [], 904 ^ [])), complements_of_subsets(the_carrier(904 ^ []), complements_of_subsets(the_carrier(904 ^ []), 905 ^ [])) = 905 ^ [], 904 ^ [] = 904 ^ []],extension(12,bind([[_37910, _37911, _37912, _37913], [complements_of_subsets(the_carrier(904 ^ []), complements_of_subsets(the_carrier(904 ^ []), 905 ^ [])), 905 ^ [], 904 ^ [], 904 ^ []]]))).
% 170.03/164.77 cnf('1.2.1.2.1',plain,[open_subsets(905 ^ [], 904 ^ []), -(907 ^ [])],extension(1)).
% 170.03/164.77 cnf('1.2.1.2.1.1',plain,[907 ^ []],reduction('1')).
% 170.03/164.77 cnf('1.2.1.2.2',plain,[-(complements_of_subsets(the_carrier(904 ^ []), complements_of_subsets(the_carrier(904 ^ []), 905 ^ [])) = 905 ^ []), element(905 ^ [], powerset(powerset(the_carrier(904 ^ []))))],extension(14,bind([[_150596, _150541], [905 ^ [], the_carrier(904 ^ [])]]))).
% 170.03/164.77 cnf('1.2.1.2.2.1',plain,[-(element(905 ^ [], powerset(powerset(the_carrier(904 ^ [])))))],extension(8)).
% 170.03/164.77 cnf('1.2.1.2.3',plain,[-(904 ^ [] = 904 ^ [])],extension(10,bind([[_36456], [904 ^ []]]))).
% 170.03/164.77 %-----------------------------------------------------
% 170.03/164.77
% 170.03/164.77 % SZS output end Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
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