TSTP Solution File: SET802+4 by leanCoP---2.2
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : SET802+4 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : leancop_casc.sh %s %d
% Computer : n014.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 02:56:04 EDT 2022
% Result : Theorem 70.03s 68.67s
% Output : Proof 70.13s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SET802+4 : TPTP v8.1.0. Released v3.2.0.
% 0.11/0.12 % Command : leancop_casc.sh %s %d
% 0.12/0.33 % Computer : n014.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 Jul 11 09:06:49 EDT 2022
% 0.12/0.33 % CPUTime :
% 70.03/68.67 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 70.03/68.68 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 70.12/68.69
% 70.12/68.69 %-----------------------------------------------------
% 70.12/68.69 fof(thIV14, conjecture, ! [_84376, _84379] : (order(_84376, _84379) => ! [_84397] : (subset(_84397, _84379) => ! [_84415] : (least(_84415, _84376, _84397) <=> member(_84415, _84397) & greatest_lower_bound(_84415, _84397, _84376, _84379)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', thIV14)).
% 70.12/68.69 fof(greatest_lower_bound, axiom, ! [_84731, _84734, _84737, _84740] : (greatest_lower_bound(_84731, _84734, _84737, _84740) <=> member(_84731, _84734) & lower_bound(_84731, _84737, _84734) & ! [_84787] : (member(_84787, _84740) & lower_bound(_84787, _84737, _84734) => apply(_84737, _84787, _84731))), file('/export/starexec/sandbox2/benchmark/Axioms/SET006+3.ax', greatest_lower_bound)).
% 70.12/68.69 fof(least, axiom, ! [_85119, _85122, _85125] : (least(_85125, _85119, _85122) <=> member(_85125, _85122) & ! [_85156] : (member(_85156, _85122) => apply(_85119, _85125, _85156))), file('/export/starexec/sandbox2/benchmark/Axioms/SET006+3.ax', least)).
% 70.12/68.69 fof(lower_bound, axiom, ! [_85416, _85419, _85422] : (lower_bound(_85422, _85416, _85419) <=> ! [_85443] : (member(_85443, _85419) => apply(_85416, _85422, _85443))), file('/export/starexec/sandbox2/benchmark/Axioms/SET006+3.ax', lower_bound)).
% 70.12/68.69
% 70.12/68.69 cnf(1, plain, [-(53 ^ []), least(51 ^ [], 48 ^ [], 50 ^ [])], clausify(thIV14)).
% 70.12/68.69 cnf(2, plain, [-(53 ^ []), -(greatest_lower_bound(51 ^ [], 50 ^ [], 48 ^ [], 49 ^ []))], clausify(thIV14)).
% 70.12/68.69 cnf(3, plain, [-(53 ^ []), -(member(51 ^ [], 50 ^ []))], clausify(thIV14)).
% 70.12/68.69 cnf(4, plain, [-(52 ^ []), member(51 ^ [], 50 ^ []), greatest_lower_bound(51 ^ [], 50 ^ [], 48 ^ [], 49 ^ [])], clausify(thIV14)).
% 70.12/68.69 cnf(5, plain, [-(52 ^ []), -(least(51 ^ [], 48 ^ [], 50 ^ []))], clausify(thIV14)).
% 70.12/68.69 cnf(6, plain, [-(47 ^ [_48733, _48646, _48558, _48469]), apply(_48646, 46 ^ [_48733, _48646, _48558, _48469], _48469)], clausify(greatest_lower_bound)).
% 70.12/68.69 cnf(7, plain, [-(47 ^ [_48733, _48646, _48558, _48469]), -(lower_bound(46 ^ [_48733, _48646, _48558, _48469], _48646, _48558))], clausify(greatest_lower_bound)).
% 70.12/68.69 cnf(8, plain, [-(45 ^ [_48733, _48646, _48558, _48469]), -(lower_bound(_48469, _48646, _48558))], clausify(greatest_lower_bound)).
% 70.12/68.69 cnf(9, plain, [-(35 ^ [_45108, _45040, _44971]), apply(_44971, _45108, 34 ^ [_45108, _45040, _44971])], clausify(least)).
% 70.12/68.69 cnf(10, plain, [-(35 ^ [_45108, _45040, _44971]), -(member(34 ^ [_45108, _45040, _44971], _45040))], clausify(least)).
% 70.12/68.69 cnf(11, plain, [-(33 ^ [_45108, _45040, _44971]), member(_45333, _45040), -(apply(_44971, _45108, _45333))], clausify(least)).
% 70.12/68.69 cnf(12, plain, [-(33 ^ [_45108, _45040, _44971]), -(member(_45108, _45040))], clausify(least)).
% 70.12/68.69 cnf(13, plain, [-(29 ^ [_43748, _43686, _43623]), apply(_43623, _43748, 28 ^ [_43748, _43686, _43623])], clausify(lower_bound)).
% 70.12/68.69 cnf(14, plain, [-(29 ^ [_43748, _43686, _43623]), -(member(28 ^ [_43748, _43686, _43623], _43686))], clausify(lower_bound)).
% 70.12/68.69 cnf(15, plain, [53 ^ [], 52 ^ []], clausify(thIV14)).
% 70.12/68.69 cnf(16, plain, [-(lower_bound(_43748, _43623, _43686)), 29 ^ [_43748, _43686, _43623]], clausify(lower_bound)).
% 70.12/68.69 cnf(17, plain, [lower_bound(_43748, _43623, _43686), member(_43908, _43686), -(apply(_43623, _43748, _43908))], clausify(lower_bound)).
% 70.12/68.69 cnf(18, plain, [least(_45108, _44971, _45040), 33 ^ [_45108, _45040, _44971]], clausify(least)).
% 70.12/68.69 cnf(19, plain, [-(least(_45108, _44971, _45040)), member(_45108, _45040), 35 ^ [_45108, _45040, _44971]], clausify(least)).
% 70.12/68.69 cnf(20, plain, [greatest_lower_bound(_48469, _48558, _48646, _48733), 45 ^ [_48733, _48646, _48558, _48469]], clausify(greatest_lower_bound)).
% 70.12/68.69 cnf(21, plain, [-(greatest_lower_bound(_48469, _48558, _48646, _48733)), member(_48469, _48558), lower_bound(_48469, _48646, _48558), 47 ^ [_48733, _48646, _48558, _48469]], clausify(greatest_lower_bound)).
% 70.12/68.69
% 70.12/68.69 cnf('1',plain,[53 ^ [], 52 ^ []],start(15)).
% 70.12/68.69 cnf('1.1',plain,[-(53 ^ []), least(51 ^ [], 48 ^ [], 50 ^ [])],extension(1)).
% 70.12/68.69 cnf('1.1.1',plain,[-(least(51 ^ [], 48 ^ [], 50 ^ [])), member(51 ^ [], 50 ^ []), 35 ^ [51 ^ [], 50 ^ [], 48 ^ []]],extension(19,bind([[_45108, _45040, _44971], [51 ^ [], 50 ^ [], 48 ^ []]]))).
% 70.12/68.69 cnf('1.1.1.1',plain,[-(member(51 ^ [], 50 ^ [])), -(53 ^ [])],extension(3)).
% 70.12/68.69 cnf('1.1.1.1.1',plain,[53 ^ []],reduction('1')).
% 70.12/68.69 cnf('1.1.1.2',plain,[-(35 ^ [51 ^ [], 50 ^ [], 48 ^ []]), apply(48 ^ [], 51 ^ [], 34 ^ [51 ^ [], 50 ^ [], 48 ^ []])],extension(9,bind([[_45108, _45040, _44971], [51 ^ [], 50 ^ [], 48 ^ []]]))).
% 70.12/68.69 cnf('1.1.1.2.1',plain,[-(apply(48 ^ [], 51 ^ [], 34 ^ [51 ^ [], 50 ^ [], 48 ^ []])), lower_bound(51 ^ [], 48 ^ [], 50 ^ []), member(34 ^ [51 ^ [], 50 ^ [], 48 ^ []], 50 ^ [])],extension(17,bind([[_43748, _43623, _43908, _43686], [51 ^ [], 48 ^ [], 34 ^ [51 ^ [], 50 ^ [], 48 ^ []], 50 ^ []]]))).
% 70.12/68.69 cnf('1.1.1.2.1.1',plain,[-(lower_bound(51 ^ [], 48 ^ [], 50 ^ [])), -(45 ^ [49 ^ [], 48 ^ [], 50 ^ [], 51 ^ []])],extension(8,bind([[_48733, _48646, _48558, _48469], [49 ^ [], 48 ^ [], 50 ^ [], 51 ^ []]]))).
% 70.12/68.69 cnf('1.1.1.2.1.1.1',plain,[45 ^ [49 ^ [], 48 ^ [], 50 ^ [], 51 ^ []], greatest_lower_bound(51 ^ [], 50 ^ [], 48 ^ [], 49 ^ [])],extension(20,bind([[_48469, _48558, _48646, _48733], [51 ^ [], 50 ^ [], 48 ^ [], 49 ^ []]]))).
% 70.12/68.69 cnf('1.1.1.2.1.1.1.1',plain,[-(greatest_lower_bound(51 ^ [], 50 ^ [], 48 ^ [], 49 ^ [])), -(53 ^ [])],extension(2)).
% 70.12/68.69 cnf('1.1.1.2.1.1.1.1.1',plain,[53 ^ []],reduction('1')).
% 70.12/68.69 cnf('1.1.1.2.1.2',plain,[-(member(34 ^ [51 ^ [], 50 ^ [], 48 ^ []], 50 ^ [])), -(35 ^ [51 ^ [], 50 ^ [], 48 ^ []])],extension(10,bind([[_45108, _45040, _44971], [51 ^ [], 50 ^ [], 48 ^ []]]))).
% 70.12/68.69 cnf('1.1.1.2.1.2.1',plain,[35 ^ [51 ^ [], 50 ^ [], 48 ^ []]],reduction('1.1.1')).
% 70.12/68.69 cnf('1.2',plain,[-(52 ^ []), member(51 ^ [], 50 ^ []), greatest_lower_bound(51 ^ [], 50 ^ [], 48 ^ [], 49 ^ [])],extension(4)).
% 70.12/68.69 cnf('1.2.1',plain,[-(member(51 ^ [], 50 ^ [])), -(33 ^ [51 ^ [], 50 ^ [], 48 ^ []])],extension(12,bind([[_45108, _45040, _44971], [51 ^ [], 50 ^ [], 48 ^ []]]))).
% 70.12/68.69 cnf('1.2.1.1',plain,[33 ^ [51 ^ [], 50 ^ [], 48 ^ []], least(51 ^ [], 48 ^ [], 50 ^ [])],extension(18,bind([[_45108, _44971, _45040], [51 ^ [], 48 ^ [], 50 ^ []]]))).
% 70.12/68.69 cnf('1.2.1.1.1',plain,[-(least(51 ^ [], 48 ^ [], 50 ^ [])), -(52 ^ [])],extension(5)).
% 70.12/68.69 cnf('1.2.1.1.1.1',plain,[52 ^ []],reduction('1')).
% 70.12/68.69 cnf('1.2.2',plain,[-(greatest_lower_bound(51 ^ [], 50 ^ [], 48 ^ [], 49 ^ [])), member(51 ^ [], 50 ^ []), lower_bound(51 ^ [], 48 ^ [], 50 ^ []), 47 ^ [49 ^ [], 48 ^ [], 50 ^ [], 51 ^ []]],extension(21,bind([[_48733, _48646, _48558, _48469], [49 ^ [], 48 ^ [], 50 ^ [], 51 ^ []]]))).
% 70.12/68.69 cnf('1.2.2.1',plain,[-(member(51 ^ [], 50 ^ []))],lemmata('1.2')).
% 70.12/68.69 cnf('1.2.2.2',plain,[-(lower_bound(51 ^ [], 48 ^ [], 50 ^ [])), 29 ^ [51 ^ [], 50 ^ [], 48 ^ []]],extension(16,bind([[_43748, _43686, _43623], [51 ^ [], 50 ^ [], 48 ^ []]]))).
% 70.12/68.69 cnf('1.2.2.2.1',plain,[-(29 ^ [51 ^ [], 50 ^ [], 48 ^ []]), apply(48 ^ [], 51 ^ [], 28 ^ [51 ^ [], 50 ^ [], 48 ^ []])],extension(13,bind([[_43748, _43686, _43623], [51 ^ [], 50 ^ [], 48 ^ []]]))).
% 70.12/68.69 cnf('1.2.2.2.1.1',plain,[-(apply(48 ^ [], 51 ^ [], 28 ^ [51 ^ [], 50 ^ [], 48 ^ []])), -(33 ^ [51 ^ [], 50 ^ [], 48 ^ []]), member(28 ^ [51 ^ [], 50 ^ [], 48 ^ []], 50 ^ [])],extension(11,bind([[_45108, _44971, _45333, _45040], [51 ^ [], 48 ^ [], 28 ^ [51 ^ [], 50 ^ [], 48 ^ []], 50 ^ []]]))).
% 70.12/68.69 cnf('1.2.2.2.1.1.1',plain,[33 ^ [51 ^ [], 50 ^ [], 48 ^ []], least(51 ^ [], 48 ^ [], 50 ^ [])],extension(18,bind([[_45108, _44971, _45040], [51 ^ [], 48 ^ [], 50 ^ []]]))).
% 70.12/68.69 cnf('1.2.2.2.1.1.1.1',plain,[-(least(51 ^ [], 48 ^ [], 50 ^ [])), -(52 ^ [])],extension(5)).
% 70.12/68.69 cnf('1.2.2.2.1.1.1.1.1',plain,[52 ^ []],reduction('1')).
% 70.12/68.69 cnf('1.2.2.2.1.1.2',plain,[-(member(28 ^ [51 ^ [], 50 ^ [], 48 ^ []], 50 ^ [])), -(29 ^ [51 ^ [], 50 ^ [], 48 ^ []])],extension(14,bind([[_43748, _43686, _43623], [51 ^ [], 50 ^ [], 48 ^ []]]))).
% 70.12/68.69 cnf('1.2.2.2.1.1.2.1',plain,[29 ^ [51 ^ [], 50 ^ [], 48 ^ []]],reduction('1.2.2.2')).
% 70.12/68.69 cnf('1.2.2.3',plain,[-(47 ^ [49 ^ [], 48 ^ [], 50 ^ [], 51 ^ []]), apply(48 ^ [], 46 ^ [49 ^ [], 48 ^ [], 50 ^ [], 51 ^ []], 51 ^ [])],extension(6,bind([[_48733, _48646, _48558, _48469], [49 ^ [], 48 ^ [], 50 ^ [], 51 ^ []]]))).
% 70.12/68.69 cnf('1.2.2.3.1',plain,[-(apply(48 ^ [], 46 ^ [49 ^ [], 48 ^ [], 50 ^ [], 51 ^ []], 51 ^ [])), lower_bound(46 ^ [49 ^ [], 48 ^ [], 50 ^ [], 51 ^ []], 48 ^ [], 50 ^ []), member(51 ^ [], 50 ^ [])],extension(17,bind([[_43748, _43623, _43908, _43686], [46 ^ [49 ^ [], 48 ^ [], 50 ^ [], 51 ^ []], 48 ^ [], 51 ^ [], 50 ^ []]]))).
% 70.12/68.69 cnf('1.2.2.3.1.1',plain,[-(lower_bound(46 ^ [49 ^ [], 48 ^ [], 50 ^ [], 51 ^ []], 48 ^ [], 50 ^ [])), -(47 ^ [49 ^ [], 48 ^ [], 50 ^ [], 51 ^ []])],extension(7,bind([[_48733, _48646, _48558, _48469], [49 ^ [], 48 ^ [], 50 ^ [], 51 ^ []]]))).
% 70.12/68.69 cnf('1.2.2.3.1.1.1',plain,[47 ^ [49 ^ [], 48 ^ [], 50 ^ [], 51 ^ []]],reduction('1.2.2')).
% 70.12/68.69 cnf('1.2.2.3.1.2',plain,[-(member(51 ^ [], 50 ^ []))],lemmata('1.2.2')).
% 70.12/68.69 %-----------------------------------------------------
% 70.12/68.69
% 70.13/68.69 % SZS output end Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
%------------------------------------------------------------------------------