TSTP Solution File: SET789+4 by leanCoP---2.2

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : leanCoP---2.2
% Problem  : SET789+4 : TPTP v8.1.0. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : leancop_casc.sh %s %d

% Computer : n027.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 0.36s 1.46s
% Output   : Proof 0.44s
% Verified : 
% SZS Type : -

% Comments : 
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.14  % Problem  : SET789+4 : TPTP v8.1.0. Released v3.2.0.
% 0.12/0.15  % Command  : leancop_casc.sh %s %d
% 0.16/0.36  % Computer : n027.cluster.edu
% 0.16/0.36  % Model    : x86_64 x86_64
% 0.16/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.36  % Memory   : 8042.1875MB
% 0.16/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.36  % CPULimit : 300
% 0.16/0.36  % WCLimit  : 600
% 0.16/0.36  % DateTime : Mon Jul 11 04:59:33 EDT 2022
% 0.16/0.37  % CPUTime  : 
% 0.36/1.46  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.44/1.47  % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.44/1.48  
% 0.44/1.48  %-----------------------------------------------------
% 0.44/1.48  fof(thIV1, conjecture, ! [_64474, _64477, _64480] : (order(_64474, _64477) & greatest(_64480, _64474, _64477) => ! [_64511] : (greatest(_64511, _64474, _64477) => _64480 = _64511)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', thIV1)).
% 0.44/1.48  fof(order, axiom, ! [_64836, _64839] : (order(_64836, _64839) <=> ! [_64857] : (member(_64857, _64839) => apply(_64836, _64857, _64857)) & ! [_64857, _64890] : (member(_64857, _64839) & member(_64890, _64839) => apply(_64836, _64857, _64890) & apply(_64836, _64890, _64857) => _64857 = _64890) & ! [_64857, _64890, _64954] : (member(_64857, _64839) & member(_64890, _64839) & member(_64954, _64839) => apply(_64836, _64857, _64890) & apply(_64836, _64890, _64954) => apply(_64836, _64857, _64954))), file('/export/starexec/sandbox2/benchmark/Axioms/SET006+3.ax', order)).
% 0.44/1.48  fof(greatest, axiom, ! [_65489, _65492, _65495] : (greatest(_65495, _65489, _65492) <=> member(_65495, _65492) & ! [_65526] : (member(_65526, _65492) => apply(_65489, _65526, _65495))), file('/export/starexec/sandbox2/benchmark/Axioms/SET006+3.ax', greatest)).
% 0.44/1.48  
% 0.44/1.48  cnf(1, plain, [-(order(17 ^ [], 18 ^ []))], clausify(thIV1)).
% 0.44/1.48  cnf(2, plain, [-(greatest(19 ^ [], 17 ^ [], 18 ^ []))], clausify(thIV1)).
% 0.44/1.48  cnf(3, plain, [-(greatest(20 ^ [], 17 ^ [], 18 ^ []))], clausify(thIV1)).
% 0.44/1.48  cnf(4, plain, [19 ^ [] = 20 ^ []], clausify(thIV1)).
% 0.44/1.48  cnf(5, plain, [order(_24795, _24948), member(_25471, _24948), member(_25398, _24948), -(_25398 = _25471), apply(_24795, _25398, _25471), apply(_24795, _25471, _25398)], clausify(order)).
% 0.44/1.48  cnf(6, plain, [greatest(_29235, _29098, _29167), -(member(_29235, _29167))], clausify(greatest)).
% 0.44/1.48  cnf(7, plain, [greatest(_29235, _29098, _29167), member(_29460, _29167), -(apply(_29098, _29460, _29235))], clausify(greatest)).
% 0.44/1.48  
% 0.44/1.48  cnf('1',plain,[19 ^ [] = 20 ^ []],start(4)).
% 0.44/1.48  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([[_24948, _24795, _25471, _25398], [18 ^ [], 17 ^ [], 20 ^ [], 19 ^ []]]))).
% 0.44/1.48  cnf('1.1.1',plain,[-(order(17 ^ [], 18 ^ []))],extension(1)).
% 0.44/1.48  cnf('1.1.2',plain,[-(member(20 ^ [], 18 ^ [])), greatest(20 ^ [], 17 ^ [], 18 ^ [])],extension(6,bind([[_29235, _29098, _29167], [20 ^ [], 17 ^ [], 18 ^ []]]))).
% 0.44/1.48  cnf('1.1.2.1',plain,[-(greatest(20 ^ [], 17 ^ [], 18 ^ []))],extension(3)).
% 0.44/1.48  cnf('1.1.3',plain,[-(member(19 ^ [], 18 ^ [])), greatest(19 ^ [], 17 ^ [], 18 ^ [])],extension(6,bind([[_29235, _29098, _29167], [19 ^ [], 17 ^ [], 18 ^ []]]))).
% 0.44/1.48  cnf('1.1.3.1',plain,[-(greatest(19 ^ [], 17 ^ [], 18 ^ []))],extension(2)).
% 0.44/1.48  cnf('1.1.4',plain,[-(apply(17 ^ [], 19 ^ [], 20 ^ [])), greatest(20 ^ [], 17 ^ [], 18 ^ []), member(19 ^ [], 18 ^ [])],extension(7,bind([[_29235, _29098, _29460, _29167], [20 ^ [], 17 ^ [], 19 ^ [], 18 ^ []]]))).
% 0.44/1.48  cnf('1.1.4.1',plain,[-(greatest(20 ^ [], 17 ^ [], 18 ^ []))],extension(3)).
% 0.44/1.48  cnf('1.1.4.2',plain,[-(member(19 ^ [], 18 ^ []))],lemmata('1.1')).
% 0.44/1.48  cnf('1.1.5',plain,[-(apply(17 ^ [], 20 ^ [], 19 ^ [])), greatest(19 ^ [], 17 ^ [], 18 ^ []), member(20 ^ [], 18 ^ [])],extension(7,bind([[_29235, _29098, _29460, _29167], [19 ^ [], 17 ^ [], 20 ^ [], 18 ^ []]]))).
% 0.44/1.48  cnf('1.1.5.1',plain,[-(greatest(19 ^ [], 17 ^ [], 18 ^ []))],extension(2)).
% 0.44/1.48  cnf('1.1.5.2',plain,[-(member(20 ^ [], 18 ^ []))],lemmata('1.1')).
% 0.44/1.48  %-----------------------------------------------------
% 0.44/1.48  
% 0.44/1.49  % SZS output end Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
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