TSTP Solution File: SEU323+1 by leanCoP---2.2
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- Process Solution
%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : SEU323+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : leancop_casc.sh %s %d
% Computer : n026.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 12:02:00 EDT 2022
% Result : Theorem 0.44s 1.40s
% Output : Proof 0.44s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : SEU323+1 : TPTP v8.1.0. Released v3.3.0.
% 0.11/0.12 % Command : leancop_casc.sh %s %d
% 0.12/0.33 % Computer : n026.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Mon Jun 20 12:34:41 EDT 2022
% 0.19/0.33 % CPUTime :
% 0.44/1.40 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.44/1.41 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.44/1.41
% 0.44/1.41 %-----------------------------------------------------
% 0.44/1.41 fof(t51_tops_1, conjecture, ! [_38220] : (topological_space(_38220) & top_str(_38220) => ! [_38242] : (element(_38242, powerset(the_carrier(_38220))) => open_subset(interior(_38220, _38242), _38220))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', t51_tops_1)).
% 0.44/1.41 fof(fc3_tops_1, axiom, ! [_38553, _38556] : (topological_space(_38553) & top_str(_38553) & closed_subset(_38556, _38553) & element(_38556, powerset(the_carrier(_38553))) => open_subset(subset_complement(the_carrier(_38553), _38556), _38553)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fc3_tops_1)).
% 0.44/1.41 fof(dt_k3_subset_1, axiom, ! [_38817, _38820] : (element(_38820, powerset(_38817)) => element(subset_complement(_38817, _38820), powerset(_38817))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', dt_k3_subset_1)).
% 0.44/1.41 fof(dt_k6_pre_topc, axiom, ! [_38997, _39000] : (top_str(_38997) & element(_39000, powerset(the_carrier(_38997))) => element(topstr_closure(_38997, _39000), powerset(the_carrier(_38997)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', dt_k6_pre_topc)).
% 0.44/1.41 fof(fc2_tops_1, axiom, ! [_39216, _39219] : (topological_space(_39216) & top_str(_39216) & element(_39219, powerset(the_carrier(_39216))) => closed_subset(topstr_closure(_39216, _39219), _39216)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fc2_tops_1)).
% 0.44/1.41 fof(d1_tops_1, axiom, ! [_39445] : (top_str(_39445) => ! [_39460] : (element(_39460, powerset(the_carrier(_39445))) => interior(_39445, _39460) = subset_complement(the_carrier(_39445), topstr_closure(_39445, subset_complement(the_carrier(_39445), _39460))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', d1_tops_1)).
% 0.44/1.41
% 0.44/1.41 cnf(1, plain, [-(topological_space(6 ^ []))], clausify(t51_tops_1)).
% 0.44/1.41 cnf(2, plain, [-(top_str(6 ^ []))], clausify(t51_tops_1)).
% 0.44/1.41 cnf(3, plain, [-(element(7 ^ [], powerset(the_carrier(6 ^ []))))], clausify(t51_tops_1)).
% 0.44/1.41 cnf(4, plain, [open_subset(interior(6 ^ [], 7 ^ []), 6 ^ [])], clausify(t51_tops_1)).
% 0.44/1.41 cnf(5, plain, [-(_10827 = _10827)], theory(equality)).
% 0.44/1.41 cnf(6, plain, [_10980 = _11025, -(_11025 = _10980)], theory(equality)).
% 0.44/1.41 cnf(7, plain, [-(_11259 = _11370), _11259 = _11315, _11315 = _11370], theory(equality)).
% 0.44/1.41 cnf(8, plain, [-(open_subset(_13379, _13510)), open_subset(_13312, _13445), _13312 = _13379, _13445 = _13510], theory(equality)).
% 0.44/1.41 cnf(9, plain, [-(open_subset(subset_complement(the_carrier(_17929), _17999), _17929)), topological_space(_17929), top_str(_17929), closed_subset(_17999, _17929), element(_17999, powerset(the_carrier(_17929)))], clausify(fc3_tops_1)).
% 0.44/1.41 cnf(10, plain, [element(_19866, powerset(_19814)), -(element(subset_complement(_19814, _19866), powerset(_19814)))], clausify(dt_k3_subset_1)).
% 0.44/1.41 cnf(11, plain, [-(element(topstr_closure(_20207, _20268), powerset(the_carrier(_20207)))), top_str(_20207), element(_20268, powerset(the_carrier(_20207)))], clausify(dt_k6_pre_topc)).
% 0.44/1.41 cnf(12, plain, [-(closed_subset(topstr_closure(_20836, _20898), _20836)), topological_space(_20836), top_str(_20836), element(_20898, powerset(the_carrier(_20836)))], clausify(fc2_tops_1)).
% 0.44/1.41 cnf(13, plain, [top_str(_24250), element(_24358, powerset(the_carrier(_24250))), -(interior(_24250, _24358) = subset_complement(the_carrier(_24250), topstr_closure(_24250, subset_complement(the_carrier(_24250), _24358))))], clausify(d1_tops_1)).
% 0.44/1.41
% 0.44/1.41 cnf('1',plain,[open_subset(interior(6 ^ [], 7 ^ []), 6 ^ [])],start(4)).
% 0.44/1.41 cnf('1.1',plain,[-(open_subset(interior(6 ^ [], 7 ^ []), 6 ^ [])), open_subset(subset_complement(the_carrier(6 ^ []), topstr_closure(6 ^ [], subset_complement(the_carrier(6 ^ []), 7 ^ []))), 6 ^ []), subset_complement(the_carrier(6 ^ []), topstr_closure(6 ^ [], subset_complement(the_carrier(6 ^ []), 7 ^ []))) = interior(6 ^ [], 7 ^ []), 6 ^ [] = 6 ^ []],extension(8,bind([[_13312, _13379, _13445, _13510], [subset_complement(the_carrier(6 ^ []), topstr_closure(6 ^ [], subset_complement(the_carrier(6 ^ []), 7 ^ []))), interior(6 ^ [], 7 ^ []), 6 ^ [], 6 ^ []]]))).
% 0.44/1.41 cnf('1.1.1',plain,[-(open_subset(subset_complement(the_carrier(6 ^ []), topstr_closure(6 ^ [], subset_complement(the_carrier(6 ^ []), 7 ^ []))), 6 ^ [])), topological_space(6 ^ []), top_str(6 ^ []), closed_subset(topstr_closure(6 ^ [], subset_complement(the_carrier(6 ^ []), 7 ^ [])), 6 ^ []), element(topstr_closure(6 ^ [], subset_complement(the_carrier(6 ^ []), 7 ^ [])), powerset(the_carrier(6 ^ [])))],extension(9,bind([[_17999, _17929], [topstr_closure(6 ^ [], subset_complement(the_carrier(6 ^ []), 7 ^ [])), 6 ^ []]]))).
% 0.44/1.41 cnf('1.1.1.1',plain,[-(topological_space(6 ^ []))],extension(1)).
% 0.44/1.41 cnf('1.1.1.2',plain,[-(top_str(6 ^ []))],extension(2)).
% 0.44/1.41 cnf('1.1.1.3',plain,[-(closed_subset(topstr_closure(6 ^ [], subset_complement(the_carrier(6 ^ []), 7 ^ [])), 6 ^ [])), topological_space(6 ^ []), top_str(6 ^ []), element(subset_complement(the_carrier(6 ^ []), 7 ^ []), powerset(the_carrier(6 ^ [])))],extension(12,bind([[_20898, _20836], [subset_complement(the_carrier(6 ^ []), 7 ^ []), 6 ^ []]]))).
% 0.44/1.41 cnf('1.1.1.3.1',plain,[-(topological_space(6 ^ []))],extension(1)).
% 0.44/1.41 cnf('1.1.1.3.2',plain,[-(top_str(6 ^ []))],extension(2)).
% 0.44/1.41 cnf('1.1.1.3.3',plain,[-(element(subset_complement(the_carrier(6 ^ []), 7 ^ []), powerset(the_carrier(6 ^ [])))), element(7 ^ [], powerset(the_carrier(6 ^ [])))],extension(10,bind([[_19866, _19814], [7 ^ [], the_carrier(6 ^ [])]]))).
% 0.44/1.41 cnf('1.1.1.3.3.1',plain,[-(element(7 ^ [], powerset(the_carrier(6 ^ []))))],extension(3)).
% 0.44/1.41 cnf('1.1.1.4',plain,[-(element(topstr_closure(6 ^ [], subset_complement(the_carrier(6 ^ []), 7 ^ [])), powerset(the_carrier(6 ^ [])))), top_str(6 ^ []), element(subset_complement(the_carrier(6 ^ []), 7 ^ []), powerset(the_carrier(6 ^ [])))],extension(11,bind([[_20268, _20207], [subset_complement(the_carrier(6 ^ []), 7 ^ []), 6 ^ []]]))).
% 0.44/1.41 cnf('1.1.1.4.1',plain,[-(top_str(6 ^ []))],extension(2)).
% 0.44/1.41 cnf('1.1.1.4.2',plain,[-(element(subset_complement(the_carrier(6 ^ []), 7 ^ []), powerset(the_carrier(6 ^ [])))), element(7 ^ [], powerset(the_carrier(6 ^ [])))],extension(10,bind([[_19866, _19814], [7 ^ [], the_carrier(6 ^ [])]]))).
% 0.44/1.41 cnf('1.1.1.4.2.1',plain,[-(element(7 ^ [], powerset(the_carrier(6 ^ []))))],extension(3)).
% 0.44/1.41 cnf('1.1.2',plain,[-(subset_complement(the_carrier(6 ^ []), topstr_closure(6 ^ [], subset_complement(the_carrier(6 ^ []), 7 ^ []))) = interior(6 ^ [], 7 ^ [])), interior(6 ^ [], 7 ^ []) = subset_complement(the_carrier(6 ^ []), topstr_closure(6 ^ [], subset_complement(the_carrier(6 ^ []), 7 ^ [])))],extension(6,bind([[_10980, _11025], [interior(6 ^ [], 7 ^ []), subset_complement(the_carrier(6 ^ []), topstr_closure(6 ^ [], subset_complement(the_carrier(6 ^ []), 7 ^ [])))]]))).
% 0.44/1.41 cnf('1.1.2.1',plain,[-(interior(6 ^ [], 7 ^ []) = subset_complement(the_carrier(6 ^ []), topstr_closure(6 ^ [], subset_complement(the_carrier(6 ^ []), 7 ^ [])))), interior(6 ^ [], 7 ^ []) = subset_complement(the_carrier(6 ^ []), topstr_closure(6 ^ [], subset_complement(the_carrier(6 ^ []), 7 ^ []))), subset_complement(the_carrier(6 ^ []), topstr_closure(6 ^ [], subset_complement(the_carrier(6 ^ []), 7 ^ []))) = subset_complement(the_carrier(6 ^ []), topstr_closure(6 ^ [], subset_complement(the_carrier(6 ^ []), 7 ^ [])))],extension(7,bind([[_11259, _11315, _11370], [interior(6 ^ [], 7 ^ []), subset_complement(the_carrier(6 ^ []), topstr_closure(6 ^ [], subset_complement(the_carrier(6 ^ []), 7 ^ []))), subset_complement(the_carrier(6 ^ []), topstr_closure(6 ^ [], subset_complement(the_carrier(6 ^ []), 7 ^ [])))]]))).
% 0.44/1.41 cnf('1.1.2.1.1',plain,[-(interior(6 ^ [], 7 ^ []) = subset_complement(the_carrier(6 ^ []), topstr_closure(6 ^ [], subset_complement(the_carrier(6 ^ []), 7 ^ [])))), top_str(6 ^ []), element(7 ^ [], powerset(the_carrier(6 ^ [])))],extension(13,bind([[_24358, _24250], [7 ^ [], 6 ^ []]]))).
% 0.44/1.41 cnf('1.1.2.1.1.1',plain,[-(top_str(6 ^ []))],extension(2)).
% 0.44/1.41 cnf('1.1.2.1.1.2',plain,[-(element(7 ^ [], powerset(the_carrier(6 ^ []))))],extension(3)).
% 0.44/1.41 cnf('1.1.2.1.2',plain,[-(subset_complement(the_carrier(6 ^ []), topstr_closure(6 ^ [], subset_complement(the_carrier(6 ^ []), 7 ^ []))) = subset_complement(the_carrier(6 ^ []), topstr_closure(6 ^ [], subset_complement(the_carrier(6 ^ []), 7 ^ []))))],extension(5,bind([[_10827], [subset_complement(the_carrier(6 ^ []), topstr_closure(6 ^ [], subset_complement(the_carrier(6 ^ []), 7 ^ [])))]]))).
% 0.44/1.41 cnf('1.1.3',plain,[-(6 ^ [] = 6 ^ [])],extension(5,bind([[_10827], [6 ^ []]]))).
% 0.44/1.41 %-----------------------------------------------------
% 0.44/1.42
% 0.44/1.42 % SZS output end Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
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