TSTP Solution File: SEU080+1 by leanCoP---2.2

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : leanCoP---2.2
% Problem  : SEU080+1 : TPTP v8.1.0. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : leancop_casc.sh %s %d

% Computer : n024.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 12:00:04 EDT 2022

% Result   : Theorem 0.36s 1.39s
% Output   : Proof 0.36s
% Verified : 
% SZS Type : -

% Comments : 
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%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11  % Problem  : SEU080+1 : TPTP v8.1.0. Released v3.2.0.
% 0.06/0.12  % Command  : leancop_casc.sh %s %d
% 0.12/0.33  % Computer : n024.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 600
% 0.12/0.33  % DateTime : Mon Jun 20 02:01:17 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.36/1.39  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.36/1.40  % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.36/1.41  
% 0.36/1.41  %-----------------------------------------------------
% 0.36/1.41  fof(t161_funct_1, conjecture, ! [_42693, _42696, _42699] : (relation(_42699) & function(_42699) => relation_inverse_image(_42699, _42693) = relation_inverse_image(_42699, _42696) & subset(_42693, relation_rng(_42699)) & subset(_42696, relation_rng(_42699)) => _42693 = _42696), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', t161_funct_1)).
% 0.36/1.41  fof(d10_xboole_0, axiom, ! [_43063, _43066] : (_43063 = _43066 <=> subset(_43063, _43066) & subset(_43066, _43063)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', d10_xboole_0)).
% 0.36/1.41  fof(t158_funct_1, axiom, ! [_43289, _43292, _43295] : (relation(_43295) & function(_43295) => subset(relation_inverse_image(_43295, _43289), relation_inverse_image(_43295, _43292)) & subset(_43289, relation_rng(_43295)) => subset(_43289, _43292)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', t158_funct_1)).
% 0.36/1.41  
% 0.36/1.41  cnf(1, plain, [-(relation(14 ^ []))], clausify(t161_funct_1)).
% 0.36/1.41  cnf(2, plain, [-(function(14 ^ []))], clausify(t161_funct_1)).
% 0.36/1.41  cnf(3, plain, [-(relation_inverse_image(14 ^ [], 12 ^ []) = relation_inverse_image(14 ^ [], 13 ^ []))], clausify(t161_funct_1)).
% 0.36/1.41  cnf(4, plain, [-(subset(12 ^ [], relation_rng(14 ^ [])))], clausify(t161_funct_1)).
% 0.36/1.41  cnf(5, plain, [-(subset(13 ^ [], relation_rng(14 ^ [])))], clausify(t161_funct_1)).
% 0.36/1.41  cnf(6, plain, [12 ^ [] = 13 ^ []], clausify(t161_funct_1)).
% 0.36/1.41  cnf(7, plain, [_20599 = _20650, -(subset(_20599, _20650))], clausify(d10_xboole_0)).
% 0.36/1.41  cnf(8, plain, [_20599 = _20650, -(subset(_20650, _20599))], clausify(d10_xboole_0)).
% 0.36/1.41  cnf(9, plain, [-(_20599 = _20650), subset(_20599, _20650), subset(_20650, _20599)], clausify(d10_xboole_0)).
% 0.36/1.41  cnf(10, plain, [function(_25336), relation(_25336), -(subset(_25189, _25263)), subset(relation_inverse_image(_25336, _25189), relation_inverse_image(_25336, _25263)), subset(_25189, relation_rng(_25336))], clausify(t158_funct_1)).
% 0.36/1.41  
% 0.36/1.41  cnf('1',plain,[12 ^ [] = 13 ^ []],start(6)).
% 0.36/1.41  cnf('1.1',plain,[-(12 ^ [] = 13 ^ []), subset(12 ^ [], 13 ^ []), subset(13 ^ [], 12 ^ [])],extension(9,bind([[_20650, _20599], [13 ^ [], 12 ^ []]]))).
% 0.36/1.41  cnf('1.1.1',plain,[-(subset(12 ^ [], 13 ^ [])), function(14 ^ []), relation(14 ^ []), subset(relation_inverse_image(14 ^ [], 12 ^ []), relation_inverse_image(14 ^ [], 13 ^ [])), subset(12 ^ [], relation_rng(14 ^ []))],extension(10,bind([[_25263, _25189, _25336], [13 ^ [], 12 ^ [], 14 ^ []]]))).
% 0.36/1.41  cnf('1.1.1.1',plain,[-(function(14 ^ []))],extension(2)).
% 0.36/1.41  cnf('1.1.1.2',plain,[-(relation(14 ^ []))],extension(1)).
% 0.36/1.41  cnf('1.1.1.3',plain,[-(subset(relation_inverse_image(14 ^ [], 12 ^ []), relation_inverse_image(14 ^ [], 13 ^ []))), relation_inverse_image(14 ^ [], 12 ^ []) = relation_inverse_image(14 ^ [], 13 ^ [])],extension(7,bind([[_20599, _20650], [relation_inverse_image(14 ^ [], 12 ^ []), relation_inverse_image(14 ^ [], 13 ^ [])]]))).
% 0.36/1.41  cnf('1.1.1.3.1',plain,[-(relation_inverse_image(14 ^ [], 12 ^ []) = relation_inverse_image(14 ^ [], 13 ^ []))],extension(3)).
% 0.36/1.41  cnf('1.1.1.4',plain,[-(subset(12 ^ [], relation_rng(14 ^ [])))],extension(4)).
% 0.36/1.41  cnf('1.1.2',plain,[-(subset(13 ^ [], 12 ^ [])), function(14 ^ []), relation(14 ^ []), subset(relation_inverse_image(14 ^ [], 13 ^ []), relation_inverse_image(14 ^ [], 12 ^ [])), subset(13 ^ [], relation_rng(14 ^ []))],extension(10,bind([[_25263, _25189, _25336], [12 ^ [], 13 ^ [], 14 ^ []]]))).
% 0.36/1.41  cnf('1.1.2.1',plain,[-(function(14 ^ []))],extension(2)).
% 0.36/1.41  cnf('1.1.2.2',plain,[-(relation(14 ^ []))],extension(1)).
% 0.36/1.41  cnf('1.1.2.3',plain,[-(subset(relation_inverse_image(14 ^ [], 13 ^ []), relation_inverse_image(14 ^ [], 12 ^ []))), relation_inverse_image(14 ^ [], 12 ^ []) = relation_inverse_image(14 ^ [], 13 ^ [])],extension(8,bind([[_20599, _20650], [relation_inverse_image(14 ^ [], 12 ^ []), relation_inverse_image(14 ^ [], 13 ^ [])]]))).
% 0.36/1.41  cnf('1.1.2.3.1',plain,[-(relation_inverse_image(14 ^ [], 12 ^ []) = relation_inverse_image(14 ^ [], 13 ^ []))],extension(3)).
% 0.36/1.41  cnf('1.1.2.4',plain,[-(subset(13 ^ [], relation_rng(14 ^ [])))],extension(5)).
% 0.36/1.41  %-----------------------------------------------------
% 0.36/1.41  
% 0.36/1.41  % SZS output end Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
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