TSTP Solution File: SEU315+1 by leanCoP---2.2
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- Process Solution
%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : SEU315+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : leancop_casc.sh %s %d
% Computer : n021.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 12:01:56 EDT 2022
% Result : Theorem 158.26s 152.63s
% Output : Proof 158.26s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SEU315+1 : TPTP v8.1.0. Released v3.3.0.
% 0.03/0.12 % Command : leancop_casc.sh %s %d
% 0.12/0.33 % Computer : n021.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 : Sun Jun 19 05:24:32 EDT 2022
% 0.12/0.33 % CPUTime :
% 158.26/152.63 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 158.26/152.63 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 158.26/152.64
% 158.26/152.64 %-----------------------------------------------------
% 158.26/152.64 fof(s3_subset_1__e1_40__pre_topc, conjecture, ! [_79341, _79344] : (topological_space(_79341) & top_str(_79341) & element(_79344, powerset(the_carrier(_79341))) => ? [_79384] : (element(_79384, powerset(powerset(the_carrier(_79341)))) & ! [_79414] : (element(_79414, powerset(the_carrier(_79341))) => (in(_79414, _79384) <=> ? [_79450] : (element(_79450, powerset(the_carrier(_79341))) & _79450 = _79414 & closed_subset(_79450, _79341) & subset(_79344, _79414)))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', s3_subset_1__e1_40__pre_topc)).
% 158.26/152.64 fof(fc1_subset_1, axiom, ! [_80029] : ~ empty(powerset(_80029)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fc1_subset_1)).
% 158.26/152.64 fof(s1_xboole_0__e1_40__pre_topc__1, axiom, ! [_80145, _80148] : (topological_space(_80145) & top_str(_80145) & element(_80148, powerset(the_carrier(_80145))) => ? [_80188] : ! [_80196] : (in(_80196, _80188) <=> in(_80196, powerset(the_carrier(_80145))) & ? [_80232] : (element(_80232, powerset(the_carrier(_80145))) & _80232 = _80196 & closed_subset(_80232, _80145) & subset(_80148, _80196)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', s1_xboole_0__e1_40__pre_topc__1)).
% 158.26/152.64 fof(d2_subset_1, axiom, ! [_80673, _80676] : ((~ empty(_80673) => (element(_80676, _80673) <=> in(_80676, _80673))) & (empty(_80673) => (element(_80676, _80673) <=> empty(_80676)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', d2_subset_1)).
% 158.26/152.64 fof(l71_subset_1, axiom, ! [_80922, _80925] : (! [_80933] : (in(_80933, _80922) => in(_80933, _80925)) => element(_80922, powerset(_80925))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', l71_subset_1)).
% 158.26/152.64
% 158.26/152.64 cnf(1, plain, [-(topological_space(11 ^ []))], clausify(s3_subset_1__e1_40__pre_topc)).
% 158.26/152.64 cnf(2, plain, [-(top_str(11 ^ []))], clausify(s3_subset_1__e1_40__pre_topc)).
% 158.26/152.64 cnf(3, plain, [-(element(12 ^ [], powerset(the_carrier(11 ^ []))))], clausify(s3_subset_1__e1_40__pre_topc)).
% 158.26/152.64 cnf(4, plain, [element(_48703, powerset(powerset(the_carrier(11 ^ [])))), -(element(13 ^ [_48703], powerset(the_carrier(11 ^ []))))], clausify(s3_subset_1__e1_40__pre_topc)).
% 158.26/152.64 cnf(5, plain, [element(_48703, powerset(powerset(the_carrier(11 ^ [])))), -(in(13 ^ [_48703], _48703)), -(element(14 ^ [_48703], powerset(the_carrier(11 ^ []))))], clausify(s3_subset_1__e1_40__pre_topc)).
% 158.26/152.64 cnf(6, plain, [element(_48703, powerset(powerset(the_carrier(11 ^ [])))), -(in(13 ^ [_48703], _48703)), -(14 ^ [_48703] = 13 ^ [_48703])], clausify(s3_subset_1__e1_40__pre_topc)).
% 158.26/152.64 cnf(7, plain, [element(_48703, powerset(powerset(the_carrier(11 ^ [])))), -(in(13 ^ [_48703], _48703)), -(closed_subset(14 ^ [_48703], 11 ^ []))], clausify(s3_subset_1__e1_40__pre_topc)).
% 158.26/152.64 cnf(8, plain, [element(_48703, powerset(powerset(the_carrier(11 ^ [])))), -(in(13 ^ [_48703], _48703)), -(subset(12 ^ [], 13 ^ [_48703]))], clausify(s3_subset_1__e1_40__pre_topc)).
% 158.26/152.64 cnf(9, plain, [element(_48703, powerset(powerset(the_carrier(11 ^ [])))), in(13 ^ [_48703], _48703), element(_48825, powerset(the_carrier(11 ^ []))), _48825 = 13 ^ [_48703], closed_subset(_48825, 11 ^ []), subset(12 ^ [], 13 ^ [_48703])], clausify(s3_subset_1__e1_40__pre_topc)).
% 158.26/152.64 cnf(10, plain, [empty(powerset(_37136))], clausify(fc1_subset_1)).
% 158.26/152.64 cnf(11, plain, [element(_37436, powerset(the_carrier(_37324))), top_str(_37324), topological_space(_37324), in(_47231, 5 ^ [_37436, _37324]), -(in(_47231, powerset(the_carrier(_37324))))], clausify(s1_xboole_0__e1_40__pre_topc__1)).
% 158.26/152.64 cnf(12, plain, [element(_37436, powerset(the_carrier(_37324))), top_str(_37324), topological_space(_37324), in(_47231, 5 ^ [_37436, _37324]), -(element(6 ^ [_47231, _37436, _37324], powerset(the_carrier(_37324))))], clausify(s1_xboole_0__e1_40__pre_topc__1)).
% 158.26/152.64 cnf(13, plain, [element(_37436, powerset(the_carrier(_37324))), top_str(_37324), topological_space(_37324), in(_47231, 5 ^ [_37436, _37324]), -(6 ^ [_47231, _37436, _37324] = _47231)], clausify(s1_xboole_0__e1_40__pre_topc__1)).
% 158.26/152.64 cnf(14, plain, [element(_37436, powerset(the_carrier(_37324))), top_str(_37324), topological_space(_37324), in(_47231, 5 ^ [_37436, _37324]), -(closed_subset(6 ^ [_47231, _37436, _37324], _37324))], clausify(s1_xboole_0__e1_40__pre_topc__1)).
% 158.26/152.64 cnf(15, plain, [element(_37436, powerset(the_carrier(_37324))), top_str(_37324), topological_space(_37324), in(_47231, 5 ^ [_37436, _37324]), -(subset(_37436, _47231))], clausify(s1_xboole_0__e1_40__pre_topc__1)).
% 158.26/152.64 cnf(16, plain, [element(_37436, powerset(the_carrier(_37324))), top_str(_37324), topological_space(_37324), -(in(_47231, 5 ^ [_37436, _37324])), in(_47231, powerset(the_carrier(_37324))), element(_47252, powerset(the_carrier(_37324))), _47252 = _47231, closed_subset(_47252, _37324), subset(_37436, _47231)], clausify(s1_xboole_0__e1_40__pre_topc__1)).
% 158.26/152.64 cnf(17, plain, [-(empty(_38614)), element(_38682, _38614), -(in(_38682, _38614))], clausify(d2_subset_1)).
% 158.26/152.64 cnf(18, plain, [-(in(8 ^ [_39747, _39689], _39689)), -(element(_39689, powerset(_39747)))], clausify(l71_subset_1)).
% 158.26/152.64 cnf(19, plain, [in(8 ^ [_39747, _39689], _39747), -(element(_39689, powerset(_39747)))], clausify(l71_subset_1)).
% 158.26/152.64
% 158.26/152.64 cnf('1',plain,[-(topological_space(11 ^ []))],start(1)).
% 158.26/152.64 cnf('1.1',plain,[topological_space(11 ^ []), element(12 ^ [], powerset(the_carrier(11 ^ []))), top_str(11 ^ []), in(13 ^ [5 ^ [12 ^ [], 11 ^ []]], 5 ^ [12 ^ [], 11 ^ []]), -(6 ^ [13 ^ [5 ^ [12 ^ [], 11 ^ []]], 12 ^ [], 11 ^ []] = 13 ^ [5 ^ [12 ^ [], 11 ^ []]])],extension(13,bind([[_37436, _37324, _47231], [12 ^ [], 11 ^ [], 13 ^ [5 ^ [12 ^ [], 11 ^ []]]]]))).
% 158.26/152.64 cnf('1.1.1',plain,[-(element(12 ^ [], powerset(the_carrier(11 ^ []))))],extension(3)).
% 158.26/152.64 cnf('1.1.2',plain,[-(top_str(11 ^ []))],extension(2)).
% 158.26/152.64 cnf('1.1.3',plain,[-(in(13 ^ [5 ^ [12 ^ [], 11 ^ []]], 5 ^ [12 ^ [], 11 ^ []])), element(5 ^ [12 ^ [], 11 ^ []], powerset(powerset(the_carrier(11 ^ [])))), -(14 ^ [5 ^ [12 ^ [], 11 ^ []]] = 13 ^ [5 ^ [12 ^ [], 11 ^ []]])],extension(6,bind([[_48703], [5 ^ [12 ^ [], 11 ^ []]]]))).
% 158.26/152.64 cnf('1.1.3.1',plain,[-(element(5 ^ [12 ^ [], 11 ^ []], powerset(powerset(the_carrier(11 ^ []))))), -(in(8 ^ [powerset(the_carrier(11 ^ [])), 5 ^ [12 ^ [], 11 ^ []]], 5 ^ [12 ^ [], 11 ^ []]))],extension(18,bind([[_39747, _39689], [powerset(the_carrier(11 ^ [])), 5 ^ [12 ^ [], 11 ^ []]]]))).
% 158.26/152.64 cnf('1.1.3.1.1',plain,[in(8 ^ [powerset(the_carrier(11 ^ [])), 5 ^ [12 ^ [], 11 ^ []]], 5 ^ [12 ^ [], 11 ^ []]), element(12 ^ [], powerset(the_carrier(11 ^ []))), top_str(11 ^ []), topological_space(11 ^ []), -(in(8 ^ [powerset(the_carrier(11 ^ [])), 5 ^ [12 ^ [], 11 ^ []]], powerset(the_carrier(11 ^ []))))],extension(11,bind([[_37436, _47231, _37324], [12 ^ [], 8 ^ [powerset(the_carrier(11 ^ [])), 5 ^ [12 ^ [], 11 ^ []]], 11 ^ []]]))).
% 158.26/152.64 cnf('1.1.3.1.1.1',plain,[-(element(12 ^ [], powerset(the_carrier(11 ^ []))))],extension(3)).
% 158.26/152.64 cnf('1.1.3.1.1.2',plain,[-(top_str(11 ^ []))],extension(2)).
% 158.26/152.64 cnf('1.1.3.1.1.3',plain,[-(topological_space(11 ^ []))],extension(1)).
% 158.26/152.64 cnf('1.1.3.1.1.4',plain,[in(8 ^ [powerset(the_carrier(11 ^ [])), 5 ^ [12 ^ [], 11 ^ []]], powerset(the_carrier(11 ^ []))), -(element(5 ^ [12 ^ [], 11 ^ []], powerset(powerset(the_carrier(11 ^ [])))))],extension(19,bind([[_39689, _39747], [5 ^ [12 ^ [], 11 ^ []], powerset(the_carrier(11 ^ []))]]))).
% 158.26/152.64 cnf('1.1.3.1.1.4.1',plain,[element(5 ^ [12 ^ [], 11 ^ []], powerset(powerset(the_carrier(11 ^ []))))],reduction('1.1.3')).
% 158.26/152.64 cnf('1.1.3.2',plain,[14 ^ [5 ^ [12 ^ [], 11 ^ []]] = 13 ^ [5 ^ [12 ^ [], 11 ^ []]], element(12 ^ [], powerset(the_carrier(11 ^ []))), top_str(11 ^ []), topological_space(11 ^ []), -(in(13 ^ [5 ^ [12 ^ [], 11 ^ []]], 5 ^ [12 ^ [], 11 ^ []])), in(13 ^ [5 ^ [12 ^ [], 11 ^ []]], powerset(the_carrier(11 ^ []))), element(14 ^ [5 ^ [12 ^ [], 11 ^ []]], powerset(the_carrier(11 ^ []))), closed_subset(14 ^ [5 ^ [12 ^ [], 11 ^ []]], 11 ^ []), subset(12 ^ [], 13 ^ [5 ^ [12 ^ [], 11 ^ []]])],extension(16,bind([[_47252, _37324, _37436, _47231], [14 ^ [5 ^ [12 ^ [], 11 ^ []]], 11 ^ [], 12 ^ [], 13 ^ [5 ^ [12 ^ [], 11 ^ []]]]]))).
% 158.26/152.64 cnf('1.1.3.2.1',plain,[-(element(12 ^ [], powerset(the_carrier(11 ^ []))))],extension(3)).
% 158.26/152.64 cnf('1.1.3.2.2',plain,[-(top_str(11 ^ []))],extension(2)).
% 158.26/152.64 cnf('1.1.3.2.3',plain,[-(topological_space(11 ^ []))],extension(1)).
% 158.26/152.64 cnf('1.1.3.2.4',plain,[in(13 ^ [5 ^ [12 ^ [], 11 ^ []]], 5 ^ [12 ^ [], 11 ^ []])],reduction('1.1')).
% 158.26/152.64 cnf('1.1.3.2.5',plain,[-(in(13 ^ [5 ^ [12 ^ [], 11 ^ []]], powerset(the_carrier(11 ^ [])))), -(empty(powerset(the_carrier(11 ^ [])))), element(13 ^ [5 ^ [12 ^ [], 11 ^ []]], powerset(the_carrier(11 ^ [])))],extension(17,bind([[_38682, _38614], [13 ^ [5 ^ [12 ^ [], 11 ^ []]], powerset(the_carrier(11 ^ []))]]))).
% 158.26/152.64 cnf('1.1.3.2.5.1',plain,[empty(powerset(the_carrier(11 ^ [])))],extension(10,bind([[_37136], [the_carrier(11 ^ [])]]))).
% 158.26/152.64 cnf('1.1.3.2.5.2',plain,[-(element(13 ^ [5 ^ [12 ^ [], 11 ^ []]], powerset(the_carrier(11 ^ [])))), element(5 ^ [12 ^ [], 11 ^ []], powerset(powerset(the_carrier(11 ^ []))))],extension(4,bind([[_48703], [5 ^ [12 ^ [], 11 ^ []]]]))).
% 158.26/152.64 cnf('1.1.3.2.5.2.1',plain,[-(element(5 ^ [12 ^ [], 11 ^ []], powerset(powerset(the_carrier(11 ^ [])))))],lemmata('1.1.3')).
% 158.26/152.64 cnf('1.1.3.2.6',plain,[-(element(14 ^ [5 ^ [12 ^ [], 11 ^ []]], powerset(the_carrier(11 ^ [])))), element(5 ^ [12 ^ [], 11 ^ []], powerset(powerset(the_carrier(11 ^ [])))), -(in(13 ^ [5 ^ [12 ^ [], 11 ^ []]], 5 ^ [12 ^ [], 11 ^ []]))],extension(5,bind([[_48703], [5 ^ [12 ^ [], 11 ^ []]]]))).
% 158.26/152.64 cnf('1.1.3.2.6.1',plain,[-(element(5 ^ [12 ^ [], 11 ^ []], powerset(powerset(the_carrier(11 ^ [])))))],lemmata('1.1.3')).
% 158.26/152.64 cnf('1.1.3.2.6.2',plain,[in(13 ^ [5 ^ [12 ^ [], 11 ^ []]], 5 ^ [12 ^ [], 11 ^ []])],lemmata('1.1.3.2')).
% 158.26/152.64 cnf('1.1.3.2.7',plain,[-(closed_subset(14 ^ [5 ^ [12 ^ [], 11 ^ []]], 11 ^ [])), element(5 ^ [12 ^ [], 11 ^ []], powerset(powerset(the_carrier(11 ^ [])))), -(in(13 ^ [5 ^ [12 ^ [], 11 ^ []]], 5 ^ [12 ^ [], 11 ^ []]))],extension(7,bind([[_48703], [5 ^ [12 ^ [], 11 ^ []]]]))).
% 158.26/152.64 cnf('1.1.3.2.7.1',plain,[-(element(5 ^ [12 ^ [], 11 ^ []], powerset(powerset(the_carrier(11 ^ [])))))],lemmata('1.1.3')).
% 158.26/152.64 cnf('1.1.3.2.7.2',plain,[in(13 ^ [5 ^ [12 ^ [], 11 ^ []]], 5 ^ [12 ^ [], 11 ^ []])],lemmata('1.1.3.2')).
% 158.26/152.64 cnf('1.1.3.2.8',plain,[-(subset(12 ^ [], 13 ^ [5 ^ [12 ^ [], 11 ^ []]])), element(5 ^ [12 ^ [], 11 ^ []], powerset(powerset(the_carrier(11 ^ [])))), -(in(13 ^ [5 ^ [12 ^ [], 11 ^ []]], 5 ^ [12 ^ [], 11 ^ []]))],extension(8,bind([[_48703], [5 ^ [12 ^ [], 11 ^ []]]]))).
% 158.26/152.64 cnf('1.1.3.2.8.1',plain,[-(element(5 ^ [12 ^ [], 11 ^ []], powerset(powerset(the_carrier(11 ^ [])))))],lemmata('1.1.3')).
% 158.26/152.64 cnf('1.1.3.2.8.2',plain,[in(13 ^ [5 ^ [12 ^ [], 11 ^ []]], 5 ^ [12 ^ [], 11 ^ []])],lemmata('1.1.3.2')).
% 158.26/152.64 cnf('1.1.4',plain,[6 ^ [13 ^ [5 ^ [12 ^ [], 11 ^ []]], 12 ^ [], 11 ^ []] = 13 ^ [5 ^ [12 ^ [], 11 ^ []]], element(5 ^ [12 ^ [], 11 ^ []], powerset(powerset(the_carrier(11 ^ [])))), in(13 ^ [5 ^ [12 ^ [], 11 ^ []]], 5 ^ [12 ^ [], 11 ^ []]), element(6 ^ [13 ^ [5 ^ [12 ^ [], 11 ^ []]], 12 ^ [], 11 ^ []], powerset(the_carrier(11 ^ []))), closed_subset(6 ^ [13 ^ [5 ^ [12 ^ [], 11 ^ []]], 12 ^ [], 11 ^ []], 11 ^ []), subset(12 ^ [], 13 ^ [5 ^ [12 ^ [], 11 ^ []]])],extension(9,bind([[_48825, _48703], [6 ^ [13 ^ [5 ^ [12 ^ [], 11 ^ []]], 12 ^ [], 11 ^ []], 5 ^ [12 ^ [], 11 ^ []]]]))).
% 158.26/152.64 cnf('1.1.4.1',plain,[-(element(5 ^ [12 ^ [], 11 ^ []], powerset(powerset(the_carrier(11 ^ []))))), -(in(8 ^ [powerset(the_carrier(11 ^ [])), 5 ^ [12 ^ [], 11 ^ []]], 5 ^ [12 ^ [], 11 ^ []]))],extension(18,bind([[_39747, _39689], [powerset(the_carrier(11 ^ [])), 5 ^ [12 ^ [], 11 ^ []]]]))).
% 158.26/152.64 cnf('1.1.4.1.1',plain,[in(8 ^ [powerset(the_carrier(11 ^ [])), 5 ^ [12 ^ [], 11 ^ []]], 5 ^ [12 ^ [], 11 ^ []]), element(12 ^ [], powerset(the_carrier(11 ^ []))), top_str(11 ^ []), topological_space(11 ^ []), -(in(8 ^ [powerset(the_carrier(11 ^ [])), 5 ^ [12 ^ [], 11 ^ []]], powerset(the_carrier(11 ^ []))))],extension(11,bind([[_37436, _47231, _37324], [12 ^ [], 8 ^ [powerset(the_carrier(11 ^ [])), 5 ^ [12 ^ [], 11 ^ []]], 11 ^ []]]))).
% 158.26/152.64 cnf('1.1.4.1.1.1',plain,[-(element(12 ^ [], powerset(the_carrier(11 ^ []))))],extension(3)).
% 158.26/152.64 cnf('1.1.4.1.1.2',plain,[-(top_str(11 ^ []))],extension(2)).
% 158.26/152.64 cnf('1.1.4.1.1.3',plain,[-(topological_space(11 ^ []))],extension(1)).
% 158.26/152.64 cnf('1.1.4.1.1.4',plain,[in(8 ^ [powerset(the_carrier(11 ^ [])), 5 ^ [12 ^ [], 11 ^ []]], powerset(the_carrier(11 ^ []))), -(element(5 ^ [12 ^ [], 11 ^ []], powerset(powerset(the_carrier(11 ^ [])))))],extension(19,bind([[_39689, _39747], [5 ^ [12 ^ [], 11 ^ []], powerset(the_carrier(11 ^ []))]]))).
% 158.26/152.64 cnf('1.1.4.1.1.4.1',plain,[element(5 ^ [12 ^ [], 11 ^ []], powerset(powerset(the_carrier(11 ^ []))))],reduction('1.1.4')).
% 158.26/152.64 cnf('1.1.4.2',plain,[-(in(13 ^ [5 ^ [12 ^ [], 11 ^ []]], 5 ^ [12 ^ [], 11 ^ []]))],lemmata('1.1')).
% 158.26/152.64 cnf('1.1.4.3',plain,[-(element(6 ^ [13 ^ [5 ^ [12 ^ [], 11 ^ []]], 12 ^ [], 11 ^ []], powerset(the_carrier(11 ^ [])))), element(12 ^ [], powerset(the_carrier(11 ^ []))), top_str(11 ^ []), topological_space(11 ^ []), in(13 ^ [5 ^ [12 ^ [], 11 ^ []]], 5 ^ [12 ^ [], 11 ^ []])],extension(12,bind([[_47231, _37436, _37324], [13 ^ [5 ^ [12 ^ [], 11 ^ []]], 12 ^ [], 11 ^ []]]))).
% 158.26/152.64 cnf('1.1.4.3.1',plain,[-(element(12 ^ [], powerset(the_carrier(11 ^ []))))],extension(3)).
% 158.26/152.64 cnf('1.1.4.3.2',plain,[-(top_str(11 ^ []))],extension(2)).
% 158.26/152.64 cnf('1.1.4.3.3',plain,[-(topological_space(11 ^ []))],extension(1)).
% 158.26/152.64 cnf('1.1.4.3.4',plain,[-(in(13 ^ [5 ^ [12 ^ [], 11 ^ []]], 5 ^ [12 ^ [], 11 ^ []]))],lemmata('1.1.4')).
% 158.26/152.64 cnf('1.1.4.4',plain,[-(closed_subset(6 ^ [13 ^ [5 ^ [12 ^ [], 11 ^ []]], 12 ^ [], 11 ^ []], 11 ^ [])), element(12 ^ [], powerset(the_carrier(11 ^ []))), top_str(11 ^ []), topological_space(11 ^ []), in(13 ^ [5 ^ [12 ^ [], 11 ^ []]], 5 ^ [12 ^ [], 11 ^ []])],extension(14,bind([[_47231, _37436, _37324], [13 ^ [5 ^ [12 ^ [], 11 ^ []]], 12 ^ [], 11 ^ []]]))).
% 158.26/152.64 cnf('1.1.4.4.1',plain,[-(element(12 ^ [], powerset(the_carrier(11 ^ []))))],extension(3)).
% 158.26/152.64 cnf('1.1.4.4.2',plain,[-(top_str(11 ^ []))],extension(2)).
% 158.26/152.64 cnf('1.1.4.4.3',plain,[-(topological_space(11 ^ []))],extension(1)).
% 158.26/152.64 cnf('1.1.4.4.4',plain,[-(in(13 ^ [5 ^ [12 ^ [], 11 ^ []]], 5 ^ [12 ^ [], 11 ^ []]))],lemmata('1.1.4')).
% 158.26/152.64 cnf('1.1.4.5',plain,[-(subset(12 ^ [], 13 ^ [5 ^ [12 ^ [], 11 ^ []]])), element(5 ^ [12 ^ [], 11 ^ []], powerset(powerset(the_carrier(11 ^ [])))), -(in(13 ^ [5 ^ [12 ^ [], 11 ^ []]], 5 ^ [12 ^ [], 11 ^ []]))],extension(8,bind([[_48703], [5 ^ [12 ^ [], 11 ^ []]]]))).
% 158.26/152.64 cnf('1.1.4.5.1',plain,[-(element(5 ^ [12 ^ [], 11 ^ []], powerset(powerset(the_carrier(11 ^ [])))))],lemmata('1.1.4')).
% 158.26/152.64 cnf('1.1.4.5.2',plain,[in(13 ^ [5 ^ [12 ^ [], 11 ^ []]], 5 ^ [12 ^ [], 11 ^ []]), element(12 ^ [], powerset(the_carrier(11 ^ []))), top_str(11 ^ []), topological_space(11 ^ []), -(subset(12 ^ [], 13 ^ [5 ^ [12 ^ [], 11 ^ []]]))],extension(15,bind([[_37324, _37436, _47231], [11 ^ [], 12 ^ [], 13 ^ [5 ^ [12 ^ [], 11 ^ []]]]]))).
% 158.26/152.64 cnf('1.1.4.5.2.1',plain,[-(element(12 ^ [], powerset(the_carrier(11 ^ []))))],extension(3)).
% 158.26/152.64 cnf('1.1.4.5.2.2',plain,[-(top_str(11 ^ []))],extension(2)).
% 158.26/152.64 cnf('1.1.4.5.2.3',plain,[-(topological_space(11 ^ []))],extension(1)).
% 158.26/152.64 cnf('1.1.4.5.2.4',plain,[subset(12 ^ [], 13 ^ [5 ^ [12 ^ [], 11 ^ []]])],reduction('1.1.4')).
% 158.26/152.64 %-----------------------------------------------------
% 158.26/152.64
% 158.26/152.64 % SZS output end Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
%------------------------------------------------------------------------------