TSTP Solution File: SEU311+1 by leanCoP---2.2
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : SEU311+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : leancop_casc.sh %s %d
% Computer : n028.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 12:01:54 EDT 2022
% Result : Theorem 157.76s 153.66s
% Output : Proof 157.76s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SEU311+1 : TPTP v8.1.0. Released v3.3.0.
% 0.00/0.12 % Command : leancop_casc.sh %s %d
% 0.12/0.34 % Computer : n028.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 : Mon Jun 20 12:49:46 EDT 2022
% 0.12/0.34 % CPUTime :
% 157.76/153.66 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 157.76/153.67 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 157.76/153.67
% 157.76/153.67 %-----------------------------------------------------
% 157.76/153.67 fof(s3_subset_1__e2_37_1_1__pre_topc, conjecture, ! [_77466, _77469] : (topological_space(_77466) & top_str(_77466) & element(_77469, powerset(powerset(the_carrier(_77466)))) => ? [_77513] : (element(_77513, powerset(powerset(the_carrier(_77466)))) & ! [_77543] : (element(_77543, powerset(the_carrier(_77466))) => (in(_77543, _77513) <=> in(set_difference(cast_as_carrier_subset(_77466), _77543), _77469))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', s3_subset_1__e2_37_1_1__pre_topc)).
% 157.76/153.67 fof(fc1_subset_1, axiom, ! [_78044] : ~ empty(powerset(_78044)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fc1_subset_1)).
% 157.76/153.67 fof(s1_xboole_0__e2_37_1_1__pre_topc__1, axiom, ! [_78160, _78163] : (topological_space(_78160) & top_str(_78160) & element(_78163, powerset(powerset(the_carrier(_78160)))) => ? [_78207] : ! [_78215] : (in(_78215, _78207) <=> in(_78215, powerset(the_carrier(_78160))) & in(set_difference(cast_as_carrier_subset(_78160), _78215), _78163))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', s1_xboole_0__e2_37_1_1__pre_topc__1)).
% 157.76/153.67 fof(d2_subset_1, axiom, ! [_78558, _78561] : ((~ empty(_78558) => (element(_78561, _78558) <=> in(_78561, _78558))) & (empty(_78558) => (element(_78561, _78558) <=> empty(_78561)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', d2_subset_1)).
% 157.76/153.67 fof(l71_subset_1, axiom, ! [_78807, _78810] : (! [_78818] : (in(_78818, _78807) => in(_78818, _78810)) => element(_78807, powerset(_78810))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', l71_subset_1)).
% 157.76/153.67
% 157.76/153.67 cnf(1, plain, [-(topological_space(10 ^ []))], clausify(s3_subset_1__e2_37_1_1__pre_topc)).
% 157.76/153.67 cnf(2, plain, [-(top_str(10 ^ []))], clausify(s3_subset_1__e2_37_1_1__pre_topc)).
% 157.76/153.67 cnf(3, plain, [-(element(11 ^ [], powerset(powerset(the_carrier(10 ^ [])))))], clausify(s3_subset_1__e2_37_1_1__pre_topc)).
% 157.76/153.67 cnf(4, plain, [element(_54827, powerset(powerset(the_carrier(10 ^ [])))), -(element(12 ^ [_54827], powerset(the_carrier(10 ^ []))))], clausify(s3_subset_1__e2_37_1_1__pre_topc)).
% 157.76/153.67 cnf(5, plain, [element(_54827, powerset(powerset(the_carrier(10 ^ [])))), in(12 ^ [_54827], _54827), in(set_difference(cast_as_carrier_subset(10 ^ []), 12 ^ [_54827]), 11 ^ [])], clausify(s3_subset_1__e2_37_1_1__pre_topc)).
% 157.76/153.67 cnf(6, plain, [element(_54827, powerset(powerset(the_carrier(10 ^ [])))), -(in(12 ^ [_54827], _54827)), -(in(set_difference(cast_as_carrier_subset(10 ^ []), 12 ^ [_54827]), 11 ^ []))], clausify(s3_subset_1__e2_37_1_1__pre_topc)).
% 157.76/153.67 cnf(7, plain, [empty(powerset(_43373))], clausify(fc1_subset_1)).
% 157.76/153.67 cnf(8, plain, [element(_43653, powerset(powerset(the_carrier(_43561)))), top_str(_43561), topological_space(_43561), in(_53436, 5 ^ [_43653, _43561]), -(in(_53436, powerset(the_carrier(_43561))))], clausify(s1_xboole_0__e2_37_1_1__pre_topc__1)).
% 157.76/153.67 cnf(9, plain, [element(_43653, powerset(powerset(the_carrier(_43561)))), top_str(_43561), topological_space(_43561), in(_53436, 5 ^ [_43653, _43561]), -(in(set_difference(cast_as_carrier_subset(_43561), _53436), _43653))], clausify(s1_xboole_0__e2_37_1_1__pre_topc__1)).
% 157.76/153.67 cnf(10, plain, [element(_43653, powerset(powerset(the_carrier(_43561)))), top_str(_43561), topological_space(_43561), -(in(_53436, 5 ^ [_43653, _43561])), in(_53436, powerset(the_carrier(_43561))), in(set_difference(cast_as_carrier_subset(_43561), _53436), _43653)], clausify(s1_xboole_0__e2_37_1_1__pre_topc__1)).
% 157.76/153.67 cnf(11, plain, [-(empty(_44502)), element(_44570, _44502), -(in(_44570, _44502))], clausify(d2_subset_1)).
% 157.76/153.67 cnf(12, plain, [-(in(7 ^ [_45635, _45577], _45577)), -(element(_45577, powerset(_45635)))], clausify(l71_subset_1)).
% 157.76/153.67 cnf(13, plain, [in(7 ^ [_45635, _45577], _45635), -(element(_45577, powerset(_45635)))], clausify(l71_subset_1)).
% 157.76/153.67
% 157.76/153.67 cnf('1',plain,[-(topological_space(10 ^ []))],start(1)).
% 157.76/153.67 cnf('1.1',plain,[topological_space(10 ^ []), element(11 ^ [], powerset(powerset(the_carrier(10 ^ [])))), top_str(10 ^ []), in(12 ^ [5 ^ [11 ^ [], 10 ^ []]], 5 ^ [11 ^ [], 10 ^ []]), -(in(set_difference(cast_as_carrier_subset(10 ^ []), 12 ^ [5 ^ [11 ^ [], 10 ^ []]]), 11 ^ []))],extension(9,bind([[_43561, _53436, _43653], [10 ^ [], 12 ^ [5 ^ [11 ^ [], 10 ^ []]], 11 ^ []]]))).
% 157.76/153.67 cnf('1.1.1',plain,[-(element(11 ^ [], powerset(powerset(the_carrier(10 ^ [])))))],extension(3)).
% 157.76/153.67 cnf('1.1.2',plain,[-(top_str(10 ^ []))],extension(2)).
% 157.76/153.67 cnf('1.1.3',plain,[-(in(12 ^ [5 ^ [11 ^ [], 10 ^ []]], 5 ^ [11 ^ [], 10 ^ []])), element(5 ^ [11 ^ [], 10 ^ []], powerset(powerset(the_carrier(10 ^ [])))), -(in(set_difference(cast_as_carrier_subset(10 ^ []), 12 ^ [5 ^ [11 ^ [], 10 ^ []]]), 11 ^ []))],extension(6,bind([[_54827], [5 ^ [11 ^ [], 10 ^ []]]]))).
% 157.76/153.67 cnf('1.1.3.1',plain,[-(element(5 ^ [11 ^ [], 10 ^ []], powerset(powerset(the_carrier(10 ^ []))))), -(in(7 ^ [powerset(the_carrier(10 ^ [])), 5 ^ [11 ^ [], 10 ^ []]], 5 ^ [11 ^ [], 10 ^ []]))],extension(12,bind([[_45635, _45577], [powerset(the_carrier(10 ^ [])), 5 ^ [11 ^ [], 10 ^ []]]]))).
% 157.76/153.67 cnf('1.1.3.1.1',plain,[in(7 ^ [powerset(the_carrier(10 ^ [])), 5 ^ [11 ^ [], 10 ^ []]], 5 ^ [11 ^ [], 10 ^ []]), element(11 ^ [], powerset(powerset(the_carrier(10 ^ [])))), top_str(10 ^ []), topological_space(10 ^ []), -(in(7 ^ [powerset(the_carrier(10 ^ [])), 5 ^ [11 ^ [], 10 ^ []]], powerset(the_carrier(10 ^ []))))],extension(8,bind([[_43653, _53436, _43561], [11 ^ [], 7 ^ [powerset(the_carrier(10 ^ [])), 5 ^ [11 ^ [], 10 ^ []]], 10 ^ []]]))).
% 157.76/153.67 cnf('1.1.3.1.1.1',plain,[-(element(11 ^ [], powerset(powerset(the_carrier(10 ^ [])))))],extension(3)).
% 157.76/153.67 cnf('1.1.3.1.1.2',plain,[-(top_str(10 ^ []))],extension(2)).
% 157.76/153.67 cnf('1.1.3.1.1.3',plain,[-(topological_space(10 ^ []))],extension(1)).
% 157.76/153.67 cnf('1.1.3.1.1.4',plain,[in(7 ^ [powerset(the_carrier(10 ^ [])), 5 ^ [11 ^ [], 10 ^ []]], powerset(the_carrier(10 ^ []))), -(element(5 ^ [11 ^ [], 10 ^ []], powerset(powerset(the_carrier(10 ^ [])))))],extension(13,bind([[_45577, _45635], [5 ^ [11 ^ [], 10 ^ []], powerset(the_carrier(10 ^ []))]]))).
% 157.76/153.67 cnf('1.1.3.1.1.4.1',plain,[element(5 ^ [11 ^ [], 10 ^ []], powerset(powerset(the_carrier(10 ^ []))))],reduction('1.1.3')).
% 157.76/153.67 cnf('1.1.3.2',plain,[in(set_difference(cast_as_carrier_subset(10 ^ []), 12 ^ [5 ^ [11 ^ [], 10 ^ []]]), 11 ^ []), element(11 ^ [], powerset(powerset(the_carrier(10 ^ [])))), top_str(10 ^ []), topological_space(10 ^ []), -(in(12 ^ [5 ^ [11 ^ [], 10 ^ []]], 5 ^ [11 ^ [], 10 ^ []])), in(12 ^ [5 ^ [11 ^ [], 10 ^ []]], powerset(the_carrier(10 ^ [])))],extension(10,bind([[_43653, _53436, _43561], [11 ^ [], 12 ^ [5 ^ [11 ^ [], 10 ^ []]], 10 ^ []]]))).
% 157.76/153.67 cnf('1.1.3.2.1',plain,[-(element(11 ^ [], powerset(powerset(the_carrier(10 ^ [])))))],extension(3)).
% 157.76/153.67 cnf('1.1.3.2.2',plain,[-(top_str(10 ^ []))],extension(2)).
% 157.76/153.67 cnf('1.1.3.2.3',plain,[-(topological_space(10 ^ []))],extension(1)).
% 157.76/153.67 cnf('1.1.3.2.4',plain,[in(12 ^ [5 ^ [11 ^ [], 10 ^ []]], 5 ^ [11 ^ [], 10 ^ []])],reduction('1.1')).
% 157.76/153.67 cnf('1.1.3.2.5',plain,[-(in(12 ^ [5 ^ [11 ^ [], 10 ^ []]], powerset(the_carrier(10 ^ [])))), -(empty(powerset(the_carrier(10 ^ [])))), element(12 ^ [5 ^ [11 ^ [], 10 ^ []]], powerset(the_carrier(10 ^ [])))],extension(11,bind([[_44570, _44502], [12 ^ [5 ^ [11 ^ [], 10 ^ []]], powerset(the_carrier(10 ^ []))]]))).
% 157.76/153.67 cnf('1.1.3.2.5.1',plain,[empty(powerset(the_carrier(10 ^ [])))],extension(7,bind([[_43373], [the_carrier(10 ^ [])]]))).
% 157.76/153.67 cnf('1.1.3.2.5.2',plain,[-(element(12 ^ [5 ^ [11 ^ [], 10 ^ []]], powerset(the_carrier(10 ^ [])))), element(5 ^ [11 ^ [], 10 ^ []], powerset(powerset(the_carrier(10 ^ []))))],extension(4,bind([[_54827], [5 ^ [11 ^ [], 10 ^ []]]]))).
% 157.76/153.67 cnf('1.1.3.2.5.2.1',plain,[-(element(5 ^ [11 ^ [], 10 ^ []], powerset(powerset(the_carrier(10 ^ [])))))],lemmata('1.1.3')).
% 157.76/153.67 cnf('1.1.4',plain,[in(set_difference(cast_as_carrier_subset(10 ^ []), 12 ^ [5 ^ [11 ^ [], 10 ^ []]]), 11 ^ []), element(5 ^ [11 ^ [], 10 ^ []], powerset(powerset(the_carrier(10 ^ [])))), in(12 ^ [5 ^ [11 ^ [], 10 ^ []]], 5 ^ [11 ^ [], 10 ^ []])],extension(5,bind([[_54827], [5 ^ [11 ^ [], 10 ^ []]]]))).
% 157.76/153.67 cnf('1.1.4.1',plain,[-(element(5 ^ [11 ^ [], 10 ^ []], powerset(powerset(the_carrier(10 ^ []))))), -(in(7 ^ [powerset(the_carrier(10 ^ [])), 5 ^ [11 ^ [], 10 ^ []]], 5 ^ [11 ^ [], 10 ^ []]))],extension(12,bind([[_45635, _45577], [powerset(the_carrier(10 ^ [])), 5 ^ [11 ^ [], 10 ^ []]]]))).
% 157.76/153.67 cnf('1.1.4.1.1',plain,[in(7 ^ [powerset(the_carrier(10 ^ [])), 5 ^ [11 ^ [], 10 ^ []]], 5 ^ [11 ^ [], 10 ^ []]), element(11 ^ [], powerset(powerset(the_carrier(10 ^ [])))), top_str(10 ^ []), topological_space(10 ^ []), -(in(7 ^ [powerset(the_carrier(10 ^ [])), 5 ^ [11 ^ [], 10 ^ []]], powerset(the_carrier(10 ^ []))))],extension(8,bind([[_43653, _53436, _43561], [11 ^ [], 7 ^ [powerset(the_carrier(10 ^ [])), 5 ^ [11 ^ [], 10 ^ []]], 10 ^ []]]))).
% 157.76/153.67 cnf('1.1.4.1.1.1',plain,[-(element(11 ^ [], powerset(powerset(the_carrier(10 ^ [])))))],extension(3)).
% 157.76/153.67 cnf('1.1.4.1.1.2',plain,[-(top_str(10 ^ []))],extension(2)).
% 157.76/153.67 cnf('1.1.4.1.1.3',plain,[-(topological_space(10 ^ []))],extension(1)).
% 157.76/153.67 cnf('1.1.4.1.1.4',plain,[in(7 ^ [powerset(the_carrier(10 ^ [])), 5 ^ [11 ^ [], 10 ^ []]], powerset(the_carrier(10 ^ []))), -(element(5 ^ [11 ^ [], 10 ^ []], powerset(powerset(the_carrier(10 ^ [])))))],extension(13,bind([[_45577, _45635], [5 ^ [11 ^ [], 10 ^ []], powerset(the_carrier(10 ^ []))]]))).
% 157.76/153.67 cnf('1.1.4.1.1.4.1',plain,[element(5 ^ [11 ^ [], 10 ^ []], powerset(powerset(the_carrier(10 ^ []))))],reduction('1.1.4')).
% 157.76/153.67 cnf('1.1.4.2',plain,[-(in(12 ^ [5 ^ [11 ^ [], 10 ^ []]], 5 ^ [11 ^ [], 10 ^ []]))],lemmata('1.1')).
% 157.76/153.67 %-----------------------------------------------------
% 157.76/153.68
% 157.76/153.68 % SZS output end Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
%------------------------------------------------------------------------------