TSTP Solution File: SET791+4 by leanCoP---2.2
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : SET791+4 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : leancop_casc.sh %s %d
% Computer : n023.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 02:56:00 EDT 2022
% Result : Theorem 0.40s 1.39s
% Output : Proof 0.40s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11 % Problem : SET791+4 : TPTP v8.1.0. Released v3.2.0.
% 0.11/0.12 % Command : leancop_casc.sh %s %d
% 0.11/0.32 % Computer : n023.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 600
% 0.11/0.32 % DateTime : Sun Jul 10 12:16:25 EDT 2022
% 0.11/0.33 % CPUTime :
% 0.40/1.39 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.40/1.40 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.40/1.40
% 0.40/1.40 %-----------------------------------------------------
% 0.40/1.40 fof(thIV3, conjecture, ! [_66600, _66603, _66606] : (order(_66600, _66603) & greatest(_66606, _66600, _66603) => max(_66606, _66600, _66603)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', thIV3)).
% 0.40/1.40 fof(order, axiom, ! [_66919, _66922] : (order(_66919, _66922) <=> ! [_66940] : (member(_66940, _66922) => apply(_66919, _66940, _66940)) & ! [_66940, _66973] : (member(_66940, _66922) & member(_66973, _66922) => apply(_66919, _66940, _66973) & apply(_66919, _66973, _66940) => _66940 = _66973) & ! [_66940, _66973, _67037] : (member(_66940, _66922) & member(_66973, _66922) & member(_67037, _66922) => apply(_66919, _66940, _66973) & apply(_66919, _66973, _67037) => apply(_66919, _66940, _67037))), file('/export/starexec/sandbox2/benchmark/Axioms/SET006+3.ax', order)).
% 0.40/1.40 fof(greatest, axiom, ! [_67572, _67575, _67578] : (greatest(_67578, _67572, _67575) <=> member(_67578, _67575) & ! [_67609] : (member(_67609, _67575) => apply(_67572, _67609, _67578))), file('/export/starexec/sandbox2/benchmark/Axioms/SET006+3.ax', greatest)).
% 0.40/1.40 fof(max, axiom, ! [_67847, _67850, _67853] : (max(_67853, _67847, _67850) <=> member(_67853, _67850) & ! [_67884] : (member(_67884, _67850) & apply(_67847, _67853, _67884) => _67853 = _67884)), file('/export/starexec/sandbox2/benchmark/Axioms/SET006+3.ax', max)).
% 0.40/1.40
% 0.40/1.40 cnf(1, plain, [-(order(17 ^ [], 18 ^ []))], clausify(thIV3)).
% 0.40/1.40 cnf(2, plain, [-(greatest(19 ^ [], 17 ^ [], 18 ^ []))], clausify(thIV3)).
% 0.40/1.40 cnf(3, plain, [max(19 ^ [], 17 ^ [], 18 ^ [])], clausify(thIV3)).
% 0.40/1.40 cnf(4, plain, [-(_11544 = _11544)], theory(equality)).
% 0.40/1.40 cnf(5, plain, [-(member(_20632, _20763)), member(_20565, _20698), _20565 = _20632, _20698 = _20763], theory(equality)).
% 0.40/1.40 cnf(6, plain, [order(_24678, _24831), member(_25354, _24831), member(_25281, _24831), -(_25281 = _25354), apply(_24678, _25281, _25354), apply(_24678, _25354, _25281)], clausify(order)).
% 0.40/1.40 cnf(7, plain, [greatest(_29118, _28981, _29050), -(member(_29118, _29050))], clausify(greatest)).
% 0.40/1.40 cnf(8, plain, [greatest(_29118, _28981, _29050), member(_29343, _29050), -(apply(_28981, _29343, _29118))], clausify(greatest)).
% 0.40/1.40 cnf(9, plain, [-(max(_30570, _30421, _30496)), member(_30570, _30496), -(member(13 ^ [_30570, _30496, _30421], _30496))], clausify(max)).
% 0.40/1.40 cnf(10, plain, [-(max(_30570, _30421, _30496)), member(_30570, _30496), -(apply(_30421, _30570, 13 ^ [_30570, _30496, _30421]))], clausify(max)).
% 0.40/1.40 cnf(11, plain, [-(max(_30570, _30421, _30496)), member(_30570, _30496), _30570 = 13 ^ [_30570, _30496, _30421]], clausify(max)).
% 0.40/1.40
% 0.40/1.40 cnf('1',plain,[max(19 ^ [], 17 ^ [], 18 ^ [])],start(3)).
% 0.40/1.40 cnf('1.1',plain,[-(max(19 ^ [], 17 ^ [], 18 ^ [])), member(19 ^ [], 18 ^ []), -(apply(17 ^ [], 19 ^ [], 13 ^ [19 ^ [], 18 ^ [], 17 ^ []]))],extension(10,bind([[_30570, _30496, _30421], [19 ^ [], 18 ^ [], 17 ^ []]]))).
% 0.40/1.40 cnf('1.1.1',plain,[-(member(19 ^ [], 18 ^ [])), member(19 ^ [], 18 ^ []), 19 ^ [] = 19 ^ [], 18 ^ [] = 18 ^ []],extension(5,bind([[_20565, _20632, _20698, _20763], [19 ^ [], 19 ^ [], 18 ^ [], 18 ^ []]]))).
% 0.40/1.40 cnf('1.1.1.1',plain,[-(member(19 ^ [], 18 ^ [])), greatest(19 ^ [], 17 ^ [], 18 ^ [])],extension(7,bind([[_29118, _28981, _29050], [19 ^ [], 17 ^ [], 18 ^ []]]))).
% 0.40/1.40 cnf('1.1.1.1.1',plain,[-(greatest(19 ^ [], 17 ^ [], 18 ^ []))],extension(2)).
% 0.40/1.40 cnf('1.1.1.2',plain,[-(19 ^ [] = 19 ^ [])],extension(4,bind([[_11544], [19 ^ []]]))).
% 0.40/1.40 cnf('1.1.1.3',plain,[-(18 ^ [] = 18 ^ [])],extension(4,bind([[_11544], [18 ^ []]]))).
% 0.40/1.40 cnf('1.1.2',plain,[apply(17 ^ [], 19 ^ [], 13 ^ [19 ^ [], 18 ^ [], 17 ^ []]), order(17 ^ [], 18 ^ []), member(13 ^ [19 ^ [], 18 ^ [], 17 ^ []], 18 ^ []), member(19 ^ [], 18 ^ []), -(19 ^ [] = 13 ^ [19 ^ [], 18 ^ [], 17 ^ []]), apply(17 ^ [], 13 ^ [19 ^ [], 18 ^ [], 17 ^ []], 19 ^ [])],extension(6,bind([[_24831, _24678, _25354, _25281], [18 ^ [], 17 ^ [], 13 ^ [19 ^ [], 18 ^ [], 17 ^ []], 19 ^ []]]))).
% 0.40/1.40 cnf('1.1.2.1',plain,[-(order(17 ^ [], 18 ^ []))],extension(1)).
% 0.40/1.40 cnf('1.1.2.2',plain,[-(member(13 ^ [19 ^ [], 18 ^ [], 17 ^ []], 18 ^ [])), -(max(19 ^ [], 17 ^ [], 18 ^ [])), member(19 ^ [], 18 ^ [])],extension(9,bind([[_30421, _30570, _30496], [17 ^ [], 19 ^ [], 18 ^ []]]))).
% 0.40/1.40 cnf('1.1.2.2.1',plain,[max(19 ^ [], 17 ^ [], 18 ^ [])],extension(3)).
% 0.40/1.40 cnf('1.1.2.2.2',plain,[-(member(19 ^ [], 18 ^ []))],lemmata('1.1')).
% 0.40/1.40 cnf('1.1.2.3',plain,[-(member(19 ^ [], 18 ^ []))],lemmata('1.1')).
% 0.40/1.40 cnf('1.1.2.4',plain,[19 ^ [] = 13 ^ [19 ^ [], 18 ^ [], 17 ^ []], -(max(19 ^ [], 17 ^ [], 18 ^ [])), member(19 ^ [], 18 ^ [])],extension(11,bind([[_30421, _30570, _30496], [17 ^ [], 19 ^ [], 18 ^ []]]))).
% 0.40/1.40 cnf('1.1.2.4.1',plain,[max(19 ^ [], 17 ^ [], 18 ^ [])],extension(3)).
% 0.40/1.40 cnf('1.1.2.4.2',plain,[-(member(19 ^ [], 18 ^ []))],lemmata('1.1.2')).
% 0.40/1.40 cnf('1.1.2.5',plain,[-(apply(17 ^ [], 13 ^ [19 ^ [], 18 ^ [], 17 ^ []], 19 ^ [])), greatest(19 ^ [], 17 ^ [], 18 ^ []), member(13 ^ [19 ^ [], 18 ^ [], 17 ^ []], 18 ^ [])],extension(8,bind([[_29118, _28981, _29343, _29050], [19 ^ [], 17 ^ [], 13 ^ [19 ^ [], 18 ^ [], 17 ^ []], 18 ^ []]]))).
% 0.40/1.40 cnf('1.1.2.5.1',plain,[-(greatest(19 ^ [], 17 ^ [], 18 ^ []))],extension(2)).
% 0.40/1.40 cnf('1.1.2.5.2',plain,[-(member(13 ^ [19 ^ [], 18 ^ [], 17 ^ []], 18 ^ []))],lemmata('1.1.2')).
% 0.40/1.40 %-----------------------------------------------------
% 0.40/1.41
% 0.40/1.41 % SZS output end Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
%------------------------------------------------------------------------------