TSTP Solution File: SET790+4 by leanCoP---2.2
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : SET790+4 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : leancop_casc.sh %s %d
% Computer : n019.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 0.34s 1.40s
% Output : Proof 0.34s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SET790+4 : TPTP v8.1.0. Released v3.2.0.
% 0.07/0.13 % Command : leancop_casc.sh %s %d
% 0.12/0.34 % Computer : n019.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Sun Jul 10 09:32:38 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.34/1.40 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.34/1.41 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.34/1.42
% 0.34/1.42 %-----------------------------------------------------
% 0.34/1.42 fof(thIV2, conjecture, ! [_64442, _64445, _64448] : (order(_64442, _64445) & least(_64448, _64442, _64445) => ! [_64479] : (least(_64479, _64442, _64445) => _64448 = _64479)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', thIV2)).
% 0.34/1.42 fof(order, axiom, ! [_64804, _64807] : (order(_64804, _64807) <=> ! [_64825] : (member(_64825, _64807) => apply(_64804, _64825, _64825)) & ! [_64825, _64858] : (member(_64825, _64807) & member(_64858, _64807) => apply(_64804, _64825, _64858) & apply(_64804, _64858, _64825) => _64825 = _64858) & ! [_64825, _64858, _64922] : (member(_64825, _64807) & member(_64858, _64807) & member(_64922, _64807) => apply(_64804, _64825, _64858) & apply(_64804, _64858, _64922) => apply(_64804, _64825, _64922))), file('/export/starexec/sandbox/benchmark/Axioms/SET006+3.ax', order)).
% 0.34/1.42 fof(least, axiom, ! [_65461, _65464, _65467] : (least(_65467, _65461, _65464) <=> member(_65467, _65464) & ! [_65498] : (member(_65498, _65464) => apply(_65461, _65467, _65498))), file('/export/starexec/sandbox/benchmark/Axioms/SET006+3.ax', least)).
% 0.34/1.42
% 0.34/1.42 cnf(1, plain, [-(order(17 ^ [], 18 ^ []))], clausify(thIV2)).
% 0.34/1.42 cnf(2, plain, [-(least(19 ^ [], 17 ^ [], 18 ^ []))], clausify(thIV2)).
% 0.34/1.42 cnf(3, plain, [-(least(20 ^ [], 17 ^ [], 18 ^ []))], clausify(thIV2)).
% 0.34/1.42 cnf(4, plain, [19 ^ [] = 20 ^ []], clausify(thIV2)).
% 0.34/1.42 cnf(5, plain, [order(_24763, _24916), member(_25439, _24916), member(_25366, _24916), -(_25366 = _25439), apply(_24763, _25366, _25439), apply(_24763, _25439, _25366)], clausify(order)).
% 0.34/1.42 cnf(6, plain, [least(_29923, _29786, _29855), -(member(_29923, _29855))], clausify(least)).
% 0.34/1.42 cnf(7, plain, [least(_29923, _29786, _29855), member(_30148, _29855), -(apply(_29786, _29923, _30148))], clausify(least)).
% 0.34/1.42
% 0.34/1.42 cnf('1',plain,[19 ^ [] = 20 ^ []],start(4)).
% 0.34/1.42 cnf('1.1',plain,[-(19 ^ [] = 20 ^ []), order(17 ^ [], 18 ^ []), member(20 ^ [], 18 ^ []), member(19 ^ [], 18 ^ []), apply(17 ^ [], 19 ^ [], 20 ^ []), apply(17 ^ [], 20 ^ [], 19 ^ [])],extension(5,bind([[_24916, _24763, _25439, _25366], [18 ^ [], 17 ^ [], 20 ^ [], 19 ^ []]]))).
% 0.34/1.42 cnf('1.1.1',plain,[-(order(17 ^ [], 18 ^ []))],extension(1)).
% 0.34/1.42 cnf('1.1.2',plain,[-(member(20 ^ [], 18 ^ [])), least(20 ^ [], 17 ^ [], 18 ^ [])],extension(6,bind([[_29923, _29786, _29855], [20 ^ [], 17 ^ [], 18 ^ []]]))).
% 0.34/1.42 cnf('1.1.2.1',plain,[-(least(20 ^ [], 17 ^ [], 18 ^ []))],extension(3)).
% 0.34/1.42 cnf('1.1.3',plain,[-(member(19 ^ [], 18 ^ [])), least(19 ^ [], 17 ^ [], 18 ^ [])],extension(6,bind([[_29923, _29786, _29855], [19 ^ [], 17 ^ [], 18 ^ []]]))).
% 0.34/1.42 cnf('1.1.3.1',plain,[-(least(19 ^ [], 17 ^ [], 18 ^ []))],extension(2)).
% 0.34/1.42 cnf('1.1.4',plain,[-(apply(17 ^ [], 19 ^ [], 20 ^ [])), least(19 ^ [], 17 ^ [], 18 ^ []), member(20 ^ [], 18 ^ [])],extension(7,bind([[_29923, _29786, _30148, _29855], [19 ^ [], 17 ^ [], 20 ^ [], 18 ^ []]]))).
% 0.34/1.42 cnf('1.1.4.1',plain,[-(least(19 ^ [], 17 ^ [], 18 ^ []))],extension(2)).
% 0.34/1.42 cnf('1.1.4.2',plain,[-(member(20 ^ [], 18 ^ []))],lemmata('1.1')).
% 0.34/1.42 cnf('1.1.5',plain,[-(apply(17 ^ [], 20 ^ [], 19 ^ [])), least(20 ^ [], 17 ^ [], 18 ^ []), member(19 ^ [], 18 ^ [])],extension(7,bind([[_29923, _29786, _30148, _29855], [20 ^ [], 17 ^ [], 19 ^ [], 18 ^ []]]))).
% 0.34/1.42 cnf('1.1.5.1',plain,[-(least(20 ^ [], 17 ^ [], 18 ^ []))],extension(3)).
% 0.34/1.42 cnf('1.1.5.2',plain,[-(member(19 ^ [], 18 ^ []))],lemmata('1.1')).
% 0.34/1.42 %-----------------------------------------------------
% 0.34/1.42
% 0.34/1.42 % SZS output end Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
%------------------------------------------------------------------------------