TSTP Solution File: GRA005+1 by leanCoP---2.2

View Problem - Process Solution

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% File     : leanCoP---2.2
% Problem  : GRA005+1 : TPTP v8.1.0. Bugfixed 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 : Sat Jul 16 07:19:05 EDT 2022

% Result   : Theorem 0.33s 1.39s
% Output   : Proof 0.33s
% Verified : 
% SZS Type : -

% Comments : 
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11  % Problem  : GRA005+1 : TPTP v8.1.0. Bugfixed v3.2.0.
% 0.03/0.12  % Command  : leancop_casc.sh %s %d
% 0.11/0.33  % Computer : n023.cluster.edu
% 0.11/0.33  % Model    : x86_64 x86_64
% 0.11/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33  % Memory   : 8042.1875MB
% 0.11/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33  % CPULimit : 300
% 0.11/0.33  % WCLimit  : 600
% 0.11/0.33  % DateTime : Tue May 31 01:12:42 EDT 2022
% 0.11/0.33  % CPUTime  : 
% 0.33/1.39  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.33/1.40  % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.33/1.41  
% 0.33/1.41  %-----------------------------------------------------
% 0.33/1.41  fof(no_short_cut_edge, conjecture, ! [_61873, _61876, _61879, _61882, _61885] : (shortest_path(_61873, _61876, _61885) & precedes(_61879, _61882, _61885) => ~ ? [_61921] : (edge(_61921) & tail_of(_61921) = tail_of(_61879) & head_of(_61921) = head_of(_61882))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', no_short_cut_edge)).
% 0.33/1.41  fof(shortest_path_properties, axiom, ! [_62314, _62317, _62320, _62323, _62326] : (shortest_path(_62314, _62317, _62326) & precedes(_62320, _62323, _62326) => ~ ? [_62362] : (tail_of(_62362) = tail_of(_62320) & head_of(_62362) = head_of(_62323)) & ~ precedes(_62323, _62320, _62326)), file('/export/starexec/sandbox2/benchmark/Axioms/GRA001+0.ax', shortest_path_properties)).
% 0.33/1.41  
% 0.33/1.41  cnf(1, plain, [-(shortest_path(9 ^ [], 10 ^ [], 13 ^ []))], clausify(no_short_cut_edge)).
% 0.33/1.41  cnf(2, plain, [-(precedes(11 ^ [], 12 ^ [], 13 ^ []))], clausify(no_short_cut_edge)).
% 0.33/1.41  cnf(3, plain, [-(tail_of(14 ^ []) = tail_of(11 ^ []))], clausify(no_short_cut_edge)).
% 0.33/1.41  cnf(4, plain, [-(head_of(14 ^ []) = head_of(12 ^ []))], clausify(no_short_cut_edge)).
% 0.33/1.41  cnf(5, plain, [precedes(_38417, _38513, _38608), shortest_path(_38222, _38320, _38608), tail_of(_38934) = tail_of(_38417), head_of(_38934) = head_of(_38513)], clausify(shortest_path_properties)).
% 0.33/1.41  
% 0.33/1.41  cnf('1',plain,[precedes(11 ^ [], 12 ^ [], 13 ^ []), shortest_path(9 ^ [], 10 ^ [], 13 ^ []), tail_of(14 ^ []) = tail_of(11 ^ []), head_of(14 ^ []) = head_of(12 ^ [])],start(5,bind([[_38222, _38320, _38608, _38417, _38934, _38513], [9 ^ [], 10 ^ [], 13 ^ [], 11 ^ [], 14 ^ [], 12 ^ []]]))).
% 0.33/1.41  cnf('1.1',plain,[-(precedes(11 ^ [], 12 ^ [], 13 ^ []))],extension(2)).
% 0.33/1.41  cnf('1.2',plain,[-(shortest_path(9 ^ [], 10 ^ [], 13 ^ []))],extension(1)).
% 0.33/1.41  cnf('1.3',plain,[-(tail_of(14 ^ []) = tail_of(11 ^ []))],extension(3)).
% 0.33/1.41  cnf('1.4',plain,[-(head_of(14 ^ []) = head_of(12 ^ []))],extension(4)).
% 0.33/1.41  %-----------------------------------------------------
% 0.33/1.41  
% 0.33/1.41  % SZS output end Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
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