TSTP Solution File: SET803+4 by leanCoP---2.2
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : SET803+4 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : leancop_casc.sh %s %d
% Computer : n005.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 0.67s 1.39s
% Output : Proof 0.67s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : SET803+4 : TPTP v8.1.0. Released v3.2.0.
% 0.06/0.12 % Command : leancop_casc.sh %s %d
% 0.13/0.33 % Computer : n005.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 : Mon Jul 11 03:48:22 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.67/1.39 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.67/1.40 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.67/1.41
% 0.67/1.41 %-----------------------------------------------------
% 0.67/1.41 fof(thIV15, conjecture, ! [_80326, _80329] : (order(_80326, _80329) => ! [_80347, _80350] : (max(_80347, _80326, _80329) & max(_80350, _80326, _80329) & (! _80347) = _80350 => ~ ? [_80394] : greatest(_80394, _80326, _80329))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', thIV15)).
% 0.67/1.41 fof(order, axiom, ! [_80810, _80813] : (order(_80810, _80813) <=> ! [_80831] : (member(_80831, _80813) => apply(_80810, _80831, _80831)) & ! [_80831, _80864] : (member(_80831, _80813) & member(_80864, _80813) => apply(_80810, _80831, _80864) & apply(_80810, _80864, _80831) => _80831 = _80864) & ! [_80831, _80864, _80928] : (member(_80831, _80813) & member(_80864, _80813) & member(_80928, _80813) => apply(_80810, _80831, _80864) & apply(_80810, _80864, _80928) => apply(_80810, _80831, _80928))), file('/export/starexec/sandbox/benchmark/Axioms/SET006+3.ax', order)).
% 0.67/1.41 fof(greatest, axiom, ! [_81475, _81478, _81481] : (greatest(_81481, _81475, _81478) <=> member(_81481, _81478) & ! [_81512] : (member(_81512, _81478) => apply(_81475, _81512, _81481))), file('/export/starexec/sandbox/benchmark/Axioms/SET006+3.ax', greatest)).
% 0.67/1.41 fof(max, axiom, ! [_81753, _81756, _81759] : (max(_81759, _81753, _81756) <=> member(_81759, _81756) & ! [_81790] : (member(_81790, _81756) & apply(_81753, _81759, _81790) => _81759 = _81790)), file('/export/starexec/sandbox/benchmark/Axioms/SET006+3.ax', max)).
% 0.67/1.41
% 0.67/1.41 cnf(1, plain, [-(order(17 ^ [], 18 ^ []))], clausify(thIV15)).
% 0.67/1.41 cnf(2, plain, [-(max(19 ^ [], 17 ^ [], 18 ^ []))], clausify(thIV15)).
% 0.67/1.41 cnf(3, plain, [-(max(20 ^ [], 17 ^ [], 18 ^ []))], clausify(thIV15)).
% 0.67/1.41 cnf(4, plain, [19 ^ [] = 20 ^ []], clausify(thIV15)).
% 0.67/1.41 cnf(5, plain, [-(greatest(21 ^ [], 17 ^ [], 18 ^ []))], clausify(thIV15)).
% 0.67/1.41 cnf(6, plain, [-(_11823 = _11823)], theory(equality)).
% 0.67/1.41 cnf(7, plain, [_11976 = _12021, -(_12021 = _11976)], theory(equality)).
% 0.67/1.41 cnf(8, plain, [-(apply(_12816, _12983, _13146)), apply(_12731, _12900, _13065), _12731 = _12816, _12900 = _12983, _13065 = _13146], theory(equality)).
% 0.67/1.41 cnf(9, plain, [order(_24957, _25110), member(_25331, _25110), -(apply(_24957, _25331, _25331))], clausify(order)).
% 0.67/1.41 cnf(10, plain, [order(_24957, _25110), member(_25633, _25110), member(_25560, _25110), -(_25560 = _25633), apply(_24957, _25560, _25633), apply(_24957, _25633, _25560)], clausify(order)).
% 0.67/1.41 cnf(11, plain, [greatest(_29397, _29260, _29329), -(member(_29397, _29329))], clausify(greatest)).
% 0.67/1.41 cnf(12, plain, [greatest(_29397, _29260, _29329), member(_29622, _29329), -(apply(_29260, _29622, _29397))], clausify(greatest)).
% 0.67/1.41 cnf(13, plain, [max(_30849, _30700, _30775), -(member(_30849, _30775))], clausify(max)).
% 0.67/1.41 cnf(14, plain, [max(_30849, _30700, _30775), -(_30849 = _31080), member(_31080, _30775), apply(_30700, _30849, _31080)], clausify(max)).
% 0.67/1.41
% 0.67/1.41 cnf('1',plain,[19 ^ [] = 20 ^ []],start(4)).
% 0.67/1.41 cnf('1.1',plain,[-(19 ^ [] = 20 ^ []), order(17 ^ [], 18 ^ []), member(20 ^ [], 18 ^ []), member(19 ^ [], 18 ^ []), apply(17 ^ [], 19 ^ [], 20 ^ []), apply(17 ^ [], 20 ^ [], 19 ^ [])],extension(10,bind([[_25110, _24957, _25633, _25560], [18 ^ [], 17 ^ [], 20 ^ [], 19 ^ []]]))).
% 0.67/1.41 cnf('1.1.1',plain,[-(order(17 ^ [], 18 ^ []))],extension(1)).
% 0.67/1.41 cnf('1.1.2',plain,[-(member(20 ^ [], 18 ^ [])), max(20 ^ [], 17 ^ [], 18 ^ [])],extension(13,bind([[_30849, _30700, _30775], [20 ^ [], 17 ^ [], 18 ^ []]]))).
% 0.67/1.41 cnf('1.1.2.1',plain,[-(max(20 ^ [], 17 ^ [], 18 ^ []))],extension(3)).
% 0.67/1.41 cnf('1.1.3',plain,[-(member(19 ^ [], 18 ^ [])), max(19 ^ [], 17 ^ [], 18 ^ [])],extension(13,bind([[_30849, _30700, _30775], [19 ^ [], 17 ^ [], 18 ^ []]]))).
% 0.67/1.41 cnf('1.1.3.1',plain,[-(max(19 ^ [], 17 ^ [], 18 ^ []))],extension(2)).
% 0.67/1.41 cnf('1.1.4',plain,[-(apply(17 ^ [], 19 ^ [], 20 ^ [])), apply(17 ^ [], 21 ^ [], 21 ^ []), 17 ^ [] = 17 ^ [], 21 ^ [] = 19 ^ [], 21 ^ [] = 20 ^ []],extension(8,bind([[_12731, _12816, _12900, _12983, _13065, _13146], [17 ^ [], 17 ^ [], 21 ^ [], 19 ^ [], 21 ^ [], 20 ^ []]]))).
% 0.67/1.41 cnf('1.1.4.1',plain,[-(apply(17 ^ [], 21 ^ [], 21 ^ [])), apply(17 ^ [], 21 ^ [], 21 ^ []), 17 ^ [] = 17 ^ [], 21 ^ [] = 21 ^ [], 21 ^ [] = 21 ^ []],extension(8,bind([[_12731, _12816, _12900, _12983, _13065, _13146], [17 ^ [], 17 ^ [], 21 ^ [], 21 ^ [], 21 ^ [], 21 ^ []]]))).
% 0.67/1.41 cnf('1.1.4.1.1',plain,[-(apply(17 ^ [], 21 ^ [], 21 ^ [])), order(17 ^ [], 18 ^ []), member(21 ^ [], 18 ^ [])],extension(9,bind([[_24957, _25331, _25110], [17 ^ [], 21 ^ [], 18 ^ []]]))).
% 0.67/1.41 cnf('1.1.4.1.1.1',plain,[-(order(17 ^ [], 18 ^ []))],extension(1)).
% 0.67/1.41 cnf('1.1.4.1.1.2',plain,[-(member(21 ^ [], 18 ^ [])), greatest(21 ^ [], 17 ^ [], 18 ^ [])],extension(11,bind([[_29397, _29260, _29329], [21 ^ [], 17 ^ [], 18 ^ []]]))).
% 0.67/1.41 cnf('1.1.4.1.1.2.1',plain,[-(greatest(21 ^ [], 17 ^ [], 18 ^ []))],extension(5)).
% 0.67/1.41 cnf('1.1.4.1.2',plain,[-(17 ^ [] = 17 ^ [])],extension(6,bind([[_11823], [17 ^ []]]))).
% 0.67/1.41 cnf('1.1.4.1.3',plain,[-(21 ^ [] = 21 ^ [])],extension(6,bind([[_11823], [21 ^ []]]))).
% 0.67/1.41 cnf('1.1.4.1.4',plain,[-(21 ^ [] = 21 ^ [])],extension(6,bind([[_11823], [21 ^ []]]))).
% 0.67/1.41 cnf('1.1.4.2',plain,[-(17 ^ [] = 17 ^ [])],extension(6,bind([[_11823], [17 ^ []]]))).
% 0.67/1.41 cnf('1.1.4.3',plain,[-(21 ^ [] = 19 ^ []), 19 ^ [] = 21 ^ []],extension(7,bind([[_11976, _12021], [19 ^ [], 21 ^ []]]))).
% 0.67/1.41 cnf('1.1.4.3.1',plain,[-(19 ^ [] = 21 ^ []), max(19 ^ [], 17 ^ [], 18 ^ []), member(21 ^ [], 18 ^ []), apply(17 ^ [], 19 ^ [], 21 ^ [])],extension(14,bind([[_30775, _30700, _30849, _31080], [18 ^ [], 17 ^ [], 19 ^ [], 21 ^ []]]))).
% 0.67/1.41 cnf('1.1.4.3.1.1',plain,[-(max(19 ^ [], 17 ^ [], 18 ^ []))],extension(2)).
% 0.67/1.41 cnf('1.1.4.3.1.2',plain,[-(member(21 ^ [], 18 ^ [])), greatest(21 ^ [], 17 ^ [], 18 ^ [])],extension(11,bind([[_29397, _29260, _29329], [21 ^ [], 17 ^ [], 18 ^ []]]))).
% 0.67/1.41 cnf('1.1.4.3.1.2.1',plain,[-(greatest(21 ^ [], 17 ^ [], 18 ^ []))],extension(5)).
% 0.67/1.41 cnf('1.1.4.3.1.3',plain,[-(apply(17 ^ [], 19 ^ [], 21 ^ [])), greatest(21 ^ [], 17 ^ [], 18 ^ []), member(19 ^ [], 18 ^ [])],extension(12,bind([[_29397, _29260, _29622, _29329], [21 ^ [], 17 ^ [], 19 ^ [], 18 ^ []]]))).
% 0.67/1.41 cnf('1.1.4.3.1.3.1',plain,[-(greatest(21 ^ [], 17 ^ [], 18 ^ []))],extension(5)).
% 0.67/1.41 cnf('1.1.4.3.1.3.2',plain,[-(member(19 ^ [], 18 ^ []))],lemmata('1.1')).
% 0.67/1.41 cnf('1.1.4.4',plain,[-(21 ^ [] = 20 ^ []), 20 ^ [] = 21 ^ []],extension(7,bind([[_11976, _12021], [20 ^ [], 21 ^ []]]))).
% 0.67/1.41 cnf('1.1.4.4.1',plain,[-(20 ^ [] = 21 ^ []), max(20 ^ [], 17 ^ [], 18 ^ []), member(21 ^ [], 18 ^ []), apply(17 ^ [], 20 ^ [], 21 ^ [])],extension(14,bind([[_30775, _30700, _30849, _31080], [18 ^ [], 17 ^ [], 20 ^ [], 21 ^ []]]))).
% 0.67/1.41 cnf('1.1.4.4.1.1',plain,[-(max(20 ^ [], 17 ^ [], 18 ^ []))],extension(3)).
% 0.67/1.41 cnf('1.1.4.4.1.2',plain,[-(member(21 ^ [], 18 ^ [])), greatest(21 ^ [], 17 ^ [], 18 ^ [])],extension(11,bind([[_29397, _29260, _29329], [21 ^ [], 17 ^ [], 18 ^ []]]))).
% 0.67/1.41 cnf('1.1.4.4.1.2.1',plain,[-(greatest(21 ^ [], 17 ^ [], 18 ^ []))],extension(5)).
% 0.67/1.41 cnf('1.1.4.4.1.3',plain,[-(apply(17 ^ [], 20 ^ [], 21 ^ [])), greatest(21 ^ [], 17 ^ [], 18 ^ []), member(20 ^ [], 18 ^ [])],extension(12,bind([[_29397, _29260, _29622, _29329], [21 ^ [], 17 ^ [], 20 ^ [], 18 ^ []]]))).
% 0.67/1.41 cnf('1.1.4.4.1.3.1',plain,[-(greatest(21 ^ [], 17 ^ [], 18 ^ []))],extension(5)).
% 0.67/1.41 cnf('1.1.4.4.1.3.2',plain,[-(member(20 ^ [], 18 ^ []))],lemmata('1.1')).
% 0.67/1.41 cnf('1.1.5',plain,[-(apply(17 ^ [], 20 ^ [], 19 ^ [])), apply(17 ^ [], 21 ^ [], 21 ^ []), 17 ^ [] = 17 ^ [], 21 ^ [] = 20 ^ [], 21 ^ [] = 19 ^ []],extension(8,bind([[_12731, _12816, _12900, _12983, _13065, _13146], [17 ^ [], 17 ^ [], 21 ^ [], 20 ^ [], 21 ^ [], 19 ^ []]]))).
% 0.67/1.41 cnf('1.1.5.1',plain,[-(apply(17 ^ [], 21 ^ [], 21 ^ [])), apply(17 ^ [], 21 ^ [], 21 ^ []), 17 ^ [] = 17 ^ [], 21 ^ [] = 21 ^ [], 21 ^ [] = 21 ^ []],extension(8,bind([[_12731, _12816, _12900, _12983, _13065, _13146], [17 ^ [], 17 ^ [], 21 ^ [], 21 ^ [], 21 ^ [], 21 ^ []]]))).
% 0.67/1.41 cnf('1.1.5.1.1',plain,[-(apply(17 ^ [], 21 ^ [], 21 ^ [])), order(17 ^ [], 18 ^ []), member(21 ^ [], 18 ^ [])],extension(9,bind([[_24957, _25331, _25110], [17 ^ [], 21 ^ [], 18 ^ []]]))).
% 0.67/1.41 cnf('1.1.5.1.1.1',plain,[-(order(17 ^ [], 18 ^ []))],extension(1)).
% 0.67/1.41 cnf('1.1.5.1.1.2',plain,[-(member(21 ^ [], 18 ^ [])), greatest(21 ^ [], 17 ^ [], 18 ^ [])],extension(11,bind([[_29397, _29260, _29329], [21 ^ [], 17 ^ [], 18 ^ []]]))).
% 0.67/1.41 cnf('1.1.5.1.1.2.1',plain,[-(greatest(21 ^ [], 17 ^ [], 18 ^ []))],extension(5)).
% 0.67/1.41 cnf('1.1.5.1.2',plain,[-(17 ^ [] = 17 ^ [])],extension(6,bind([[_11823], [17 ^ []]]))).
% 0.67/1.41 cnf('1.1.5.1.3',plain,[-(21 ^ [] = 21 ^ [])],extension(6,bind([[_11823], [21 ^ []]]))).
% 0.67/1.41 cnf('1.1.5.1.4',plain,[-(21 ^ [] = 21 ^ [])],extension(6,bind([[_11823], [21 ^ []]]))).
% 0.67/1.41 cnf('1.1.5.2',plain,[-(17 ^ [] = 17 ^ [])],extension(6,bind([[_11823], [17 ^ []]]))).
% 0.67/1.41 cnf('1.1.5.3',plain,[-(21 ^ [] = 20 ^ []), 20 ^ [] = 21 ^ []],extension(7,bind([[_11976, _12021], [20 ^ [], 21 ^ []]]))).
% 0.67/1.41 cnf('1.1.5.3.1',plain,[-(20 ^ [] = 21 ^ []), max(20 ^ [], 17 ^ [], 18 ^ []), member(21 ^ [], 18 ^ []), apply(17 ^ [], 20 ^ [], 21 ^ [])],extension(14,bind([[_30775, _30700, _30849, _31080], [18 ^ [], 17 ^ [], 20 ^ [], 21 ^ []]]))).
% 0.67/1.41 cnf('1.1.5.3.1.1',plain,[-(max(20 ^ [], 17 ^ [], 18 ^ []))],extension(3)).
% 0.67/1.41 cnf('1.1.5.3.1.2',plain,[-(member(21 ^ [], 18 ^ [])), greatest(21 ^ [], 17 ^ [], 18 ^ [])],extension(11,bind([[_29397, _29260, _29329], [21 ^ [], 17 ^ [], 18 ^ []]]))).
% 0.67/1.41 cnf('1.1.5.3.1.2.1',plain,[-(greatest(21 ^ [], 17 ^ [], 18 ^ []))],extension(5)).
% 0.67/1.41 cnf('1.1.5.3.1.3',plain,[-(apply(17 ^ [], 20 ^ [], 21 ^ [])), greatest(21 ^ [], 17 ^ [], 18 ^ []), member(20 ^ [], 18 ^ [])],extension(12,bind([[_29397, _29260, _29622, _29329], [21 ^ [], 17 ^ [], 20 ^ [], 18 ^ []]]))).
% 0.67/1.41 cnf('1.1.5.3.1.3.1',plain,[-(greatest(21 ^ [], 17 ^ [], 18 ^ []))],extension(5)).
% 0.67/1.41 cnf('1.1.5.3.1.3.2',plain,[-(member(20 ^ [], 18 ^ []))],lemmata('1.1')).
% 0.67/1.41 cnf('1.1.5.4',plain,[-(21 ^ [] = 19 ^ []), 19 ^ [] = 21 ^ []],extension(7,bind([[_11976, _12021], [19 ^ [], 21 ^ []]]))).
% 0.67/1.41 cnf('1.1.5.4.1',plain,[-(19 ^ [] = 21 ^ []), max(19 ^ [], 17 ^ [], 18 ^ []), member(21 ^ [], 18 ^ []), apply(17 ^ [], 19 ^ [], 21 ^ [])],extension(14,bind([[_30775, _30700, _30849, _31080], [18 ^ [], 17 ^ [], 19 ^ [], 21 ^ []]]))).
% 0.67/1.41 cnf('1.1.5.4.1.1',plain,[-(max(19 ^ [], 17 ^ [], 18 ^ []))],extension(2)).
% 0.67/1.41 cnf('1.1.5.4.1.2',plain,[-(member(21 ^ [], 18 ^ [])), greatest(21 ^ [], 17 ^ [], 18 ^ [])],extension(11,bind([[_29397, _29260, _29329], [21 ^ [], 17 ^ [], 18 ^ []]]))).
% 0.67/1.41 cnf('1.1.5.4.1.2.1',plain,[-(greatest(21 ^ [], 17 ^ [], 18 ^ []))],extension(5)).
% 0.67/1.41 cnf('1.1.5.4.1.3',plain,[-(apply(17 ^ [], 19 ^ [], 21 ^ [])), greatest(21 ^ [], 17 ^ [], 18 ^ []), member(19 ^ [], 18 ^ [])],extension(12,bind([[_29397, _29260, _29622, _29329], [21 ^ [], 17 ^ [], 19 ^ [], 18 ^ []]]))).
% 0.67/1.41 cnf('1.1.5.4.1.3.1',plain,[-(greatest(21 ^ [], 17 ^ [], 18 ^ []))],extension(5)).
% 0.67/1.41 cnf('1.1.5.4.1.3.2',plain,[-(member(19 ^ [], 18 ^ []))],lemmata('1.1')).
% 0.67/1.41 %-----------------------------------------------------
% 0.67/1.41
% 0.67/1.41 % SZS output end Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
%------------------------------------------------------------------------------