TSTP Solution File: SET804+4 by leanCoP---2.2
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : SET804+4 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : leancop_casc.sh %s %d
% Computer : n006.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 02:56:05 EDT 2022
% Result : Theorem 0.73s 1.42s
% Output : Proof 0.73s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SET804+4 : TPTP v8.1.0. Released v3.2.0.
% 0.07/0.13 % Command : leancop_casc.sh %s %d
% 0.13/0.34 % Computer : n006.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Sun Jul 10 12:52:51 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.73/1.42 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.73/1.43 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.73/1.44
% 0.73/1.44 %-----------------------------------------------------
% 0.73/1.44 fof(thIV16, conjecture, ! [_80358, _80361] : (order(_80358, _80361) => ! [_80379, _80382] : (min(_80379, _80358, _80361) & min(_80382, _80358, _80361) & (! _80379) = _80382 => ~ ? [_80426] : least(_80426, _80358, _80361))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', thIV16)).
% 0.73/1.44 fof(order, axiom, ! [_80842, _80845] : (order(_80842, _80845) <=> ! [_80863] : (member(_80863, _80845) => apply(_80842, _80863, _80863)) & ! [_80863, _80896] : (member(_80863, _80845) & member(_80896, _80845) => apply(_80842, _80863, _80896) & apply(_80842, _80896, _80863) => _80863 = _80896) & ! [_80863, _80896, _80960] : (member(_80863, _80845) & member(_80896, _80845) & member(_80960, _80845) => apply(_80842, _80863, _80896) & apply(_80842, _80896, _80960) => apply(_80842, _80863, _80960))), file('/export/starexec/sandbox2/benchmark/Axioms/SET006+3.ax', order)).
% 0.73/1.44 fof(least, axiom, ! [_81511, _81514, _81517] : (least(_81517, _81511, _81514) <=> member(_81517, _81514) & ! [_81548] : (member(_81548, _81514) => apply(_81511, _81517, _81548))), file('/export/starexec/sandbox2/benchmark/Axioms/SET006+3.ax', least)).
% 0.73/1.44 fof(min, axiom, ! [_81790, _81793, _81796] : (min(_81796, _81790, _81793) <=> member(_81796, _81793) & ! [_81827] : (member(_81827, _81793) & apply(_81790, _81827, _81796) => _81796 = _81827)), file('/export/starexec/sandbox2/benchmark/Axioms/SET006+3.ax', min)).
% 0.73/1.44
% 0.73/1.44 cnf(1, plain, [-(order(17 ^ [], 18 ^ []))], clausify(thIV16)).
% 0.73/1.44 cnf(2, plain, [-(min(19 ^ [], 17 ^ [], 18 ^ []))], clausify(thIV16)).
% 0.73/1.44 cnf(3, plain, [-(min(20 ^ [], 17 ^ [], 18 ^ []))], clausify(thIV16)).
% 0.73/1.44 cnf(4, plain, [19 ^ [] = 20 ^ []], clausify(thIV16)).
% 0.73/1.44 cnf(5, plain, [-(least(21 ^ [], 17 ^ [], 18 ^ []))], clausify(thIV16)).
% 0.73/1.44 cnf(6, plain, [-(_11855 = _11855)], theory(equality)).
% 0.73/1.44 cnf(7, plain, [_12008 = _12053, -(_12053 = _12008)], theory(equality)).
% 0.73/1.44 cnf(8, plain, [-(apply(_12848, _13015, _13178)), apply(_12763, _12932, _13097), _12763 = _12848, _12932 = _13015, _13097 = _13178], theory(equality)).
% 0.73/1.44 cnf(9, plain, [order(_24989, _25142), member(_25363, _25142), -(apply(_24989, _25363, _25363))], clausify(order)).
% 0.73/1.44 cnf(10, plain, [order(_24989, _25142), member(_25665, _25142), member(_25592, _25142), -(_25592 = _25665), apply(_24989, _25592, _25665), apply(_24989, _25665, _25592)], clausify(order)).
% 0.73/1.44 cnf(11, plain, [least(_30149, _30012, _30081), -(member(_30149, _30081))], clausify(least)).
% 0.73/1.44 cnf(12, plain, [least(_30149, _30012, _30081), member(_30374, _30081), -(apply(_30012, _30149, _30374))], clausify(least)).
% 0.73/1.44 cnf(13, plain, [min(_31699, _31550, _31625), -(member(_31699, _31625))], clausify(min)).
% 0.73/1.44 cnf(14, plain, [min(_31699, _31550, _31625), -(_31699 = _31930), member(_31930, _31625), apply(_31550, _31930, _31699)], clausify(min)).
% 0.73/1.44
% 0.73/1.44 cnf('1',plain,[19 ^ [] = 20 ^ []],start(4)).
% 0.73/1.44 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([[_25142, _24989, _25665, _25592], [18 ^ [], 17 ^ [], 20 ^ [], 19 ^ []]]))).
% 0.73/1.44 cnf('1.1.1',plain,[-(order(17 ^ [], 18 ^ []))],extension(1)).
% 0.73/1.44 cnf('1.1.2',plain,[-(member(20 ^ [], 18 ^ [])), min(20 ^ [], 17 ^ [], 18 ^ [])],extension(13,bind([[_31699, _31550, _31625], [20 ^ [], 17 ^ [], 18 ^ []]]))).
% 0.73/1.44 cnf('1.1.2.1',plain,[-(min(20 ^ [], 17 ^ [], 18 ^ []))],extension(3)).
% 0.73/1.44 cnf('1.1.3',plain,[-(member(19 ^ [], 18 ^ [])), min(19 ^ [], 17 ^ [], 18 ^ [])],extension(13,bind([[_31699, _31550, _31625], [19 ^ [], 17 ^ [], 18 ^ []]]))).
% 0.73/1.44 cnf('1.1.3.1',plain,[-(min(19 ^ [], 17 ^ [], 18 ^ []))],extension(2)).
% 0.73/1.44 cnf('1.1.4',plain,[-(apply(17 ^ [], 19 ^ [], 20 ^ [])), apply(17 ^ [], 21 ^ [], 21 ^ []), 17 ^ [] = 17 ^ [], 21 ^ [] = 19 ^ [], 21 ^ [] = 20 ^ []],extension(8,bind([[_12763, _12848, _12932, _13015, _13097, _13178], [17 ^ [], 17 ^ [], 21 ^ [], 19 ^ [], 21 ^ [], 20 ^ []]]))).
% 0.73/1.44 cnf('1.1.4.1',plain,[-(apply(17 ^ [], 21 ^ [], 21 ^ [])), apply(17 ^ [], 21 ^ [], 21 ^ []), 17 ^ [] = 17 ^ [], 21 ^ [] = 21 ^ [], 21 ^ [] = 21 ^ []],extension(8,bind([[_12763, _12848, _12932, _13015, _13097, _13178], [17 ^ [], 17 ^ [], 21 ^ [], 21 ^ [], 21 ^ [], 21 ^ []]]))).
% 0.73/1.44 cnf('1.1.4.1.1',plain,[-(apply(17 ^ [], 21 ^ [], 21 ^ [])), order(17 ^ [], 18 ^ []), member(21 ^ [], 18 ^ [])],extension(9,bind([[_24989, _25363, _25142], [17 ^ [], 21 ^ [], 18 ^ []]]))).
% 0.73/1.44 cnf('1.1.4.1.1.1',plain,[-(order(17 ^ [], 18 ^ []))],extension(1)).
% 0.73/1.44 cnf('1.1.4.1.1.2',plain,[-(member(21 ^ [], 18 ^ [])), least(21 ^ [], 17 ^ [], 18 ^ [])],extension(11,bind([[_30149, _30012, _30081], [21 ^ [], 17 ^ [], 18 ^ []]]))).
% 0.73/1.44 cnf('1.1.4.1.1.2.1',plain,[-(least(21 ^ [], 17 ^ [], 18 ^ []))],extension(5)).
% 0.73/1.44 cnf('1.1.4.1.2',plain,[-(17 ^ [] = 17 ^ [])],extension(6,bind([[_11855], [17 ^ []]]))).
% 0.73/1.44 cnf('1.1.4.1.3',plain,[-(21 ^ [] = 21 ^ [])],extension(6,bind([[_11855], [21 ^ []]]))).
% 0.73/1.44 cnf('1.1.4.1.4',plain,[-(21 ^ [] = 21 ^ [])],extension(6,bind([[_11855], [21 ^ []]]))).
% 0.73/1.44 cnf('1.1.4.2',plain,[-(17 ^ [] = 17 ^ [])],extension(6,bind([[_11855], [17 ^ []]]))).
% 0.73/1.44 cnf('1.1.4.3',plain,[-(21 ^ [] = 19 ^ []), 19 ^ [] = 21 ^ []],extension(7,bind([[_12008, _12053], [19 ^ [], 21 ^ []]]))).
% 0.73/1.44 cnf('1.1.4.3.1',plain,[-(19 ^ [] = 21 ^ []), min(19 ^ [], 17 ^ [], 18 ^ []), member(21 ^ [], 18 ^ []), apply(17 ^ [], 21 ^ [], 19 ^ [])],extension(14,bind([[_31625, _31550, _31930, _31699], [18 ^ [], 17 ^ [], 21 ^ [], 19 ^ []]]))).
% 0.73/1.44 cnf('1.1.4.3.1.1',plain,[-(min(19 ^ [], 17 ^ [], 18 ^ []))],extension(2)).
% 0.73/1.44 cnf('1.1.4.3.1.2',plain,[-(member(21 ^ [], 18 ^ [])), least(21 ^ [], 17 ^ [], 18 ^ [])],extension(11,bind([[_30149, _30012, _30081], [21 ^ [], 17 ^ [], 18 ^ []]]))).
% 0.73/1.44 cnf('1.1.4.3.1.2.1',plain,[-(least(21 ^ [], 17 ^ [], 18 ^ []))],extension(5)).
% 0.73/1.44 cnf('1.1.4.3.1.3',plain,[-(apply(17 ^ [], 21 ^ [], 19 ^ [])), least(21 ^ [], 17 ^ [], 18 ^ []), member(19 ^ [], 18 ^ [])],extension(12,bind([[_30149, _30012, _30374, _30081], [21 ^ [], 17 ^ [], 19 ^ [], 18 ^ []]]))).
% 0.73/1.44 cnf('1.1.4.3.1.3.1',plain,[-(least(21 ^ [], 17 ^ [], 18 ^ []))],extension(5)).
% 0.73/1.44 cnf('1.1.4.3.1.3.2',plain,[-(member(19 ^ [], 18 ^ []))],lemmata('1.1')).
% 0.73/1.44 cnf('1.1.4.4',plain,[-(21 ^ [] = 20 ^ []), 20 ^ [] = 21 ^ []],extension(7,bind([[_12008, _12053], [20 ^ [], 21 ^ []]]))).
% 0.73/1.44 cnf('1.1.4.4.1',plain,[-(20 ^ [] = 21 ^ []), min(20 ^ [], 17 ^ [], 18 ^ []), member(21 ^ [], 18 ^ []), apply(17 ^ [], 21 ^ [], 20 ^ [])],extension(14,bind([[_31625, _31550, _31930, _31699], [18 ^ [], 17 ^ [], 21 ^ [], 20 ^ []]]))).
% 0.73/1.44 cnf('1.1.4.4.1.1',plain,[-(min(20 ^ [], 17 ^ [], 18 ^ []))],extension(3)).
% 0.73/1.44 cnf('1.1.4.4.1.2',plain,[-(member(21 ^ [], 18 ^ [])), least(21 ^ [], 17 ^ [], 18 ^ [])],extension(11,bind([[_30149, _30012, _30081], [21 ^ [], 17 ^ [], 18 ^ []]]))).
% 0.73/1.44 cnf('1.1.4.4.1.2.1',plain,[-(least(21 ^ [], 17 ^ [], 18 ^ []))],extension(5)).
% 0.73/1.44 cnf('1.1.4.4.1.3',plain,[-(apply(17 ^ [], 21 ^ [], 20 ^ [])), least(21 ^ [], 17 ^ [], 18 ^ []), member(20 ^ [], 18 ^ [])],extension(12,bind([[_30149, _30012, _30374, _30081], [21 ^ [], 17 ^ [], 20 ^ [], 18 ^ []]]))).
% 0.73/1.44 cnf('1.1.4.4.1.3.1',plain,[-(least(21 ^ [], 17 ^ [], 18 ^ []))],extension(5)).
% 0.73/1.44 cnf('1.1.4.4.1.3.2',plain,[-(member(20 ^ [], 18 ^ []))],lemmata('1.1')).
% 0.73/1.44 cnf('1.1.5',plain,[-(apply(17 ^ [], 20 ^ [], 19 ^ [])), apply(17 ^ [], 21 ^ [], 21 ^ []), 17 ^ [] = 17 ^ [], 21 ^ [] = 20 ^ [], 21 ^ [] = 19 ^ []],extension(8,bind([[_12763, _12848, _12932, _13015, _13097, _13178], [17 ^ [], 17 ^ [], 21 ^ [], 20 ^ [], 21 ^ [], 19 ^ []]]))).
% 0.73/1.44 cnf('1.1.5.1',plain,[-(apply(17 ^ [], 21 ^ [], 21 ^ [])), apply(17 ^ [], 21 ^ [], 21 ^ []), 17 ^ [] = 17 ^ [], 21 ^ [] = 21 ^ [], 21 ^ [] = 21 ^ []],extension(8,bind([[_12763, _12848, _12932, _13015, _13097, _13178], [17 ^ [], 17 ^ [], 21 ^ [], 21 ^ [], 21 ^ [], 21 ^ []]]))).
% 0.73/1.44 cnf('1.1.5.1.1',plain,[-(apply(17 ^ [], 21 ^ [], 21 ^ [])), order(17 ^ [], 18 ^ []), member(21 ^ [], 18 ^ [])],extension(9,bind([[_24989, _25363, _25142], [17 ^ [], 21 ^ [], 18 ^ []]]))).
% 0.73/1.44 cnf('1.1.5.1.1.1',plain,[-(order(17 ^ [], 18 ^ []))],extension(1)).
% 0.73/1.44 cnf('1.1.5.1.1.2',plain,[-(member(21 ^ [], 18 ^ [])), least(21 ^ [], 17 ^ [], 18 ^ [])],extension(11,bind([[_30149, _30012, _30081], [21 ^ [], 17 ^ [], 18 ^ []]]))).
% 0.73/1.44 cnf('1.1.5.1.1.2.1',plain,[-(least(21 ^ [], 17 ^ [], 18 ^ []))],extension(5)).
% 0.73/1.44 cnf('1.1.5.1.2',plain,[-(17 ^ [] = 17 ^ [])],extension(6,bind([[_11855], [17 ^ []]]))).
% 0.73/1.44 cnf('1.1.5.1.3',plain,[-(21 ^ [] = 21 ^ [])],extension(6,bind([[_11855], [21 ^ []]]))).
% 0.73/1.44 cnf('1.1.5.1.4',plain,[-(21 ^ [] = 21 ^ [])],extension(6,bind([[_11855], [21 ^ []]]))).
% 0.73/1.44 cnf('1.1.5.2',plain,[-(17 ^ [] = 17 ^ [])],extension(6,bind([[_11855], [17 ^ []]]))).
% 0.73/1.44 cnf('1.1.5.3',plain,[-(21 ^ [] = 20 ^ []), 20 ^ [] = 21 ^ []],extension(7,bind([[_12008, _12053], [20 ^ [], 21 ^ []]]))).
% 0.73/1.44 cnf('1.1.5.3.1',plain,[-(20 ^ [] = 21 ^ []), min(20 ^ [], 17 ^ [], 18 ^ []), member(21 ^ [], 18 ^ []), apply(17 ^ [], 21 ^ [], 20 ^ [])],extension(14,bind([[_31625, _31550, _31930, _31699], [18 ^ [], 17 ^ [], 21 ^ [], 20 ^ []]]))).
% 0.73/1.44 cnf('1.1.5.3.1.1',plain,[-(min(20 ^ [], 17 ^ [], 18 ^ []))],extension(3)).
% 0.73/1.44 cnf('1.1.5.3.1.2',plain,[-(member(21 ^ [], 18 ^ [])), least(21 ^ [], 17 ^ [], 18 ^ [])],extension(11,bind([[_30149, _30012, _30081], [21 ^ [], 17 ^ [], 18 ^ []]]))).
% 0.73/1.44 cnf('1.1.5.3.1.2.1',plain,[-(least(21 ^ [], 17 ^ [], 18 ^ []))],extension(5)).
% 0.73/1.44 cnf('1.1.5.3.1.3',plain,[-(apply(17 ^ [], 21 ^ [], 20 ^ [])), least(21 ^ [], 17 ^ [], 18 ^ []), member(20 ^ [], 18 ^ [])],extension(12,bind([[_30149, _30012, _30374, _30081], [21 ^ [], 17 ^ [], 20 ^ [], 18 ^ []]]))).
% 0.73/1.44 cnf('1.1.5.3.1.3.1',plain,[-(least(21 ^ [], 17 ^ [], 18 ^ []))],extension(5)).
% 0.73/1.44 cnf('1.1.5.3.1.3.2',plain,[-(member(20 ^ [], 18 ^ []))],lemmata('1.1')).
% 0.73/1.44 cnf('1.1.5.4',plain,[-(21 ^ [] = 19 ^ []), 19 ^ [] = 21 ^ []],extension(7,bind([[_12008, _12053], [19 ^ [], 21 ^ []]]))).
% 0.73/1.44 cnf('1.1.5.4.1',plain,[-(19 ^ [] = 21 ^ []), min(19 ^ [], 17 ^ [], 18 ^ []), member(21 ^ [], 18 ^ []), apply(17 ^ [], 21 ^ [], 19 ^ [])],extension(14,bind([[_31625, _31550, _31930, _31699], [18 ^ [], 17 ^ [], 21 ^ [], 19 ^ []]]))).
% 0.73/1.44 cnf('1.1.5.4.1.1',plain,[-(min(19 ^ [], 17 ^ [], 18 ^ []))],extension(2)).
% 0.73/1.44 cnf('1.1.5.4.1.2',plain,[-(member(21 ^ [], 18 ^ [])), least(21 ^ [], 17 ^ [], 18 ^ [])],extension(11,bind([[_30149, _30012, _30081], [21 ^ [], 17 ^ [], 18 ^ []]]))).
% 0.73/1.44 cnf('1.1.5.4.1.2.1',plain,[-(least(21 ^ [], 17 ^ [], 18 ^ []))],extension(5)).
% 0.73/1.44 cnf('1.1.5.4.1.3',plain,[-(apply(17 ^ [], 21 ^ [], 19 ^ [])), least(21 ^ [], 17 ^ [], 18 ^ []), member(19 ^ [], 18 ^ [])],extension(12,bind([[_30149, _30012, _30374, _30081], [21 ^ [], 17 ^ [], 19 ^ [], 18 ^ []]]))).
% 0.73/1.44 cnf('1.1.5.4.1.3.1',plain,[-(least(21 ^ [], 17 ^ [], 18 ^ []))],extension(5)).
% 0.73/1.44 cnf('1.1.5.4.1.3.2',plain,[-(member(19 ^ [], 18 ^ []))],lemmata('1.1')).
% 0.73/1.44 %-----------------------------------------------------
% 0.73/1.44
% 0.73/1.44 % SZS output end Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
%------------------------------------------------------------------------------