TSTP Solution File: SET793+4 by leanCoP---2.2
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- Process Solution
%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : SET793+4 : TPTP v8.1.0. Released v3.2.0.
% 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 02:56:01 EDT 2022
% Result : Theorem 0.57s 1.39s
% Output : Proof 0.57s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11 % Problem : SET793+4 : TPTP v8.1.0. Released v3.2.0.
% 0.10/0.12 % Command : leancop_casc.sh %s %d
% 0.13/0.33 % Computer : n026.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Sun Jul 10 02:22:56 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.57/1.39 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.57/1.40 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.57/1.40
% 0.57/1.40 %-----------------------------------------------------
% 0.57/1.40 fof(thIV5, conjecture, ! [_70307, _70310, _70313] : (total_order(_70307, _70310) & max(_70313, _70307, _70310) => greatest(_70313, _70307, _70310)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', thIV5)).
% 0.57/1.40 fof(total_order, axiom, ! [_70655, _70658] : (total_order(_70655, _70658) <=> order(_70655, _70658) & ! [_70686, _70689] : (member(_70686, _70658) & member(_70689, _70658) => apply(_70655, _70686, _70689) | apply(_70655, _70689, _70686))), file('/export/starexec/sandbox/benchmark/Axioms/SET006+3.ax', total_order)).
% 0.57/1.40 fof(greatest, axiom, ! [_70976, _70979, _70982] : (greatest(_70982, _70976, _70979) <=> member(_70982, _70979) & ! [_71013] : (member(_71013, _70979) => apply(_70976, _71013, _70982))), file('/export/starexec/sandbox/benchmark/Axioms/SET006+3.ax', greatest)).
% 0.57/1.40 fof(max, axiom, ! [_71252, _71255, _71258] : (max(_71258, _71252, _71255) <=> member(_71258, _71255) & ! [_71289] : (member(_71289, _71255) & apply(_71252, _71258, _71289) => _71258 = _71289)), file('/export/starexec/sandbox/benchmark/Axioms/SET006+3.ax', max)).
% 0.57/1.40
% 0.57/1.40 cnf(1, plain, [-(total_order(17 ^ [], 18 ^ []))], clausify(thIV5)).
% 0.57/1.40 cnf(2, plain, [-(max(19 ^ [], 17 ^ [], 18 ^ []))], clausify(thIV5)).
% 0.57/1.40 cnf(3, plain, [greatest(19 ^ [], 17 ^ [], 18 ^ [])], clausify(thIV5)).
% 0.57/1.40 cnf(4, plain, [-(_11512 = _11512)], theory(equality)).
% 0.57/1.40 cnf(5, plain, [_11665 = _11710, -(_11710 = _11665)], theory(equality)).
% 0.57/1.40 cnf(6, plain, [-(apply(_12505, _12672, _12835)), apply(_12420, _12589, _12754), _12420 = _12505, _12589 = _12672, _12754 = _12835], theory(equality)).
% 0.57/1.40 cnf(7, plain, [-(member(_20600, _20731)), member(_20533, _20666), _20533 = _20600, _20666 = _20731], theory(equality)).
% 0.57/1.40 cnf(8, plain, [total_order(_26788, _26869), member(_27134, _26869), member(_27067, _26869), -(apply(_26788, _27067, _27134)), -(apply(_26788, _27134, _27067))], clausify(total_order)).
% 0.57/1.40 cnf(9, plain, [-(greatest(_29086, _28949, _29018)), member(_29086, _29018), -(member(11 ^ [_29086, _29018, _28949], _29018))], clausify(greatest)).
% 0.57/1.40 cnf(10, plain, [-(greatest(_29086, _28949, _29018)), member(_29086, _29018), apply(_28949, 11 ^ [_29086, _29018, _28949], _29086)], clausify(greatest)).
% 0.57/1.40 cnf(11, plain, [max(_30538, _30389, _30464), -(member(_30538, _30464))], clausify(max)).
% 0.57/1.40 cnf(12, plain, [max(_30538, _30389, _30464), -(_30538 = _30769), member(_30769, _30464), apply(_30389, _30538, _30769)], clausify(max)).
% 0.57/1.40
% 0.57/1.40 cnf('1',plain,[greatest(19 ^ [], 17 ^ [], 18 ^ [])],start(3)).
% 0.57/1.40 cnf('1.1',plain,[-(greatest(19 ^ [], 17 ^ [], 18 ^ [])), member(19 ^ [], 18 ^ []), -(member(11 ^ [19 ^ [], 18 ^ [], 17 ^ []], 18 ^ []))],extension(9,bind([[_29086, _28949, _29018], [19 ^ [], 17 ^ [], 18 ^ []]]))).
% 0.57/1.40 cnf('1.1.1',plain,[-(member(19 ^ [], 18 ^ [])), member(19 ^ [], 18 ^ []), 19 ^ [] = 19 ^ [], 18 ^ [] = 18 ^ []],extension(7,bind([[_20533, _20600, _20666, _20731], [19 ^ [], 19 ^ [], 18 ^ [], 18 ^ []]]))).
% 0.57/1.40 cnf('1.1.1.1',plain,[-(member(19 ^ [], 18 ^ [])), member(19 ^ [], 18 ^ []), 19 ^ [] = 19 ^ [], 18 ^ [] = 18 ^ []],extension(7,bind([[_20533, _20600, _20666, _20731], [19 ^ [], 19 ^ [], 18 ^ [], 18 ^ []]]))).
% 0.57/1.40 cnf('1.1.1.1.1',plain,[-(member(19 ^ [], 18 ^ [])), max(19 ^ [], 17 ^ [], 18 ^ [])],extension(11,bind([[_30538, _30389, _30464], [19 ^ [], 17 ^ [], 18 ^ []]]))).
% 0.57/1.40 cnf('1.1.1.1.1.1',plain,[-(max(19 ^ [], 17 ^ [], 18 ^ []))],extension(2)).
% 0.57/1.40 cnf('1.1.1.1.2',plain,[-(19 ^ [] = 19 ^ [])],extension(4,bind([[_11512], [19 ^ []]]))).
% 0.57/1.40 cnf('1.1.1.1.3',plain,[-(18 ^ [] = 18 ^ [])],extension(4,bind([[_11512], [18 ^ []]]))).
% 0.57/1.40 cnf('1.1.1.2',plain,[-(19 ^ [] = 19 ^ [])],extension(4,bind([[_11512], [19 ^ []]]))).
% 0.57/1.40 cnf('1.1.1.3',plain,[-(18 ^ [] = 18 ^ [])],extension(4,bind([[_11512], [18 ^ []]]))).
% 0.57/1.40 cnf('1.1.2',plain,[member(11 ^ [19 ^ [], 18 ^ [], 17 ^ []], 18 ^ []), max(19 ^ [], 17 ^ [], 18 ^ []), -(19 ^ [] = 11 ^ [19 ^ [], 18 ^ [], 17 ^ []]), apply(17 ^ [], 19 ^ [], 11 ^ [19 ^ [], 18 ^ [], 17 ^ []])],extension(12,bind([[_30464, _30389, _30538, _30769], [18 ^ [], 17 ^ [], 19 ^ [], 11 ^ [19 ^ [], 18 ^ [], 17 ^ []]]]))).
% 0.57/1.40 cnf('1.1.2.1',plain,[-(max(19 ^ [], 17 ^ [], 18 ^ []))],extension(2)).
% 0.57/1.40 cnf('1.1.2.2',plain,[19 ^ [] = 11 ^ [19 ^ [], 18 ^ [], 17 ^ []], -(apply(17 ^ [], 11 ^ [19 ^ [], 18 ^ [], 17 ^ []], 19 ^ [])), apply(17 ^ [], 19 ^ [], 11 ^ [19 ^ [], 18 ^ [], 17 ^ []]), 17 ^ [] = 17 ^ [], 11 ^ [19 ^ [], 18 ^ [], 17 ^ []] = 19 ^ []],extension(6,bind([[_12672, _12589, _12420, _12505, _12754, _12835], [11 ^ [19 ^ [], 18 ^ [], 17 ^ []], 19 ^ [], 17 ^ [], 17 ^ [], 11 ^ [19 ^ [], 18 ^ [], 17 ^ []], 19 ^ []]]))).
% 0.57/1.40 cnf('1.1.2.2.1',plain,[apply(17 ^ [], 11 ^ [19 ^ [], 18 ^ [], 17 ^ []], 19 ^ []), -(greatest(19 ^ [], 17 ^ [], 18 ^ [])), member(19 ^ [], 18 ^ [])],extension(10,bind([[_28949, _29086, _29018], [17 ^ [], 19 ^ [], 18 ^ []]]))).
% 0.57/1.40 cnf('1.1.2.2.1.1',plain,[greatest(19 ^ [], 17 ^ [], 18 ^ [])],extension(3)).
% 0.57/1.40 cnf('1.1.2.2.1.2',plain,[-(member(19 ^ [], 18 ^ []))],lemmata('1.1')).
% 0.57/1.40 cnf('1.1.2.2.2',plain,[-(apply(17 ^ [], 19 ^ [], 11 ^ [19 ^ [], 18 ^ [], 17 ^ []])), total_order(17 ^ [], 18 ^ []), member(11 ^ [19 ^ [], 18 ^ [], 17 ^ []], 18 ^ []), member(19 ^ [], 18 ^ []), -(apply(17 ^ [], 11 ^ [19 ^ [], 18 ^ [], 17 ^ []], 19 ^ []))],extension(8,bind([[_26869, _26788, _27134, _27067], [18 ^ [], 17 ^ [], 11 ^ [19 ^ [], 18 ^ [], 17 ^ []], 19 ^ []]]))).
% 0.57/1.40 cnf('1.1.2.2.2.1',plain,[-(total_order(17 ^ [], 18 ^ []))],extension(1)).
% 0.57/1.40 cnf('1.1.2.2.2.2',plain,[-(member(11 ^ [19 ^ [], 18 ^ [], 17 ^ []], 18 ^ []))],reduction('1.1')).
% 0.57/1.40 cnf('1.1.2.2.2.3',plain,[-(member(19 ^ [], 18 ^ []))],lemmata('1.1')).
% 0.57/1.40 cnf('1.1.2.2.2.4',plain,[apply(17 ^ [], 11 ^ [19 ^ [], 18 ^ [], 17 ^ []], 19 ^ [])],lemmata('1.1.2.2')).
% 0.57/1.40 cnf('1.1.2.2.3',plain,[-(17 ^ [] = 17 ^ [])],extension(4,bind([[_11512], [17 ^ []]]))).
% 0.57/1.40 cnf('1.1.2.2.4',plain,[-(11 ^ [19 ^ [], 18 ^ [], 17 ^ []] = 19 ^ []), 19 ^ [] = 11 ^ [19 ^ [], 18 ^ [], 17 ^ []]],extension(5,bind([[_11665, _11710], [19 ^ [], 11 ^ [19 ^ [], 18 ^ [], 17 ^ []]]]))).
% 0.57/1.40 cnf('1.1.2.2.4.1',plain,[-(19 ^ [] = 11 ^ [19 ^ [], 18 ^ [], 17 ^ []])],reduction('1.1.2')).
% 0.57/1.40 cnf('1.1.2.3',plain,[-(apply(17 ^ [], 19 ^ [], 11 ^ [19 ^ [], 18 ^ [], 17 ^ []])), total_order(17 ^ [], 18 ^ []), member(11 ^ [19 ^ [], 18 ^ [], 17 ^ []], 18 ^ []), member(19 ^ [], 18 ^ []), -(apply(17 ^ [], 11 ^ [19 ^ [], 18 ^ [], 17 ^ []], 19 ^ []))],extension(8,bind([[_26869, _26788, _27134, _27067], [18 ^ [], 17 ^ [], 11 ^ [19 ^ [], 18 ^ [], 17 ^ []], 19 ^ []]]))).
% 0.57/1.40 cnf('1.1.2.3.1',plain,[-(total_order(17 ^ [], 18 ^ []))],extension(1)).
% 0.57/1.40 cnf('1.1.2.3.2',plain,[-(member(11 ^ [19 ^ [], 18 ^ [], 17 ^ []], 18 ^ []))],reduction('1.1')).
% 0.57/1.40 cnf('1.1.2.3.3',plain,[-(member(19 ^ [], 18 ^ []))],lemmata('1.1')).
% 0.57/1.40 cnf('1.1.2.3.4',plain,[apply(17 ^ [], 11 ^ [19 ^ [], 18 ^ [], 17 ^ []], 19 ^ []), -(greatest(19 ^ [], 17 ^ [], 18 ^ [])), member(19 ^ [], 18 ^ [])],extension(10,bind([[_28949, _29086, _29018], [17 ^ [], 19 ^ [], 18 ^ []]]))).
% 0.57/1.40 cnf('1.1.2.3.4.1',plain,[greatest(19 ^ [], 17 ^ [], 18 ^ [])],extension(3)).
% 0.57/1.40 cnf('1.1.2.3.4.2',plain,[-(member(19 ^ [], 18 ^ []))],lemmata('1.1.2.3')).
% 0.57/1.40 %-----------------------------------------------------
% 0.57/1.41
% 0.57/1.41 % SZS output end Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
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