%------------------------------------------------------------------------------
% File     : leanCoP---2.2
% Problem  : GRA008+2 : 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 73.14s 70.92s
% Output   : Proof 73.14s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : GRA008+2 : TPTP v8.1.0. Bugfixed v3.2.0.
% 0.07/0.13  % Command  : leancop_casc.sh %s %d
% 0.13/0.34  % Computer : n023.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 600
% 0.13/0.34  % DateTime : Tue May 31 01:17:42 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 73.14/70.92  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 73.14/70.93  % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 73.14/70.94  
% 73.14/70.94  %-----------------------------------------------------
% 73.14/70.94  fof(sequential_is_triangle, conjecture, complete => ! [_94329, _94332, _94335, _94338, _94341] : (shortest_path(_94329, _94332, _94341) & precedes(_94335, _94338, _94341) & sequential(_94335, _94338) => ? [_94385] : triangle(_94335, _94338, _94385)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', sequential_is_triangle)).
% 73.14/70.94  fof(triangle_defn, axiom, ! [_94759, _94762, _94765] : (triangle(_94759, _94762, _94765) <=> edge(_94759) & edge(_94762) & edge(_94765) & sequential(_94759, _94762) & sequential(_94762, _94765) & sequential(_94765, _94759)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', triangle_defn)).
% 73.14/70.94  fof(back_edge, lemma, complete => ! [_95052, _95055, _95058, _95061, _95064] : (shortest_path(_95052, _95055, _95064) & precedes(_95058, _95061, _95064) => ? [_95098] : (edge(_95098) & tail_of(_95098) = head_of(_95061) & head_of(_95098) = tail_of(_95058))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', back_edge)).
% 73.14/70.94  fof(no_loops, axiom, ! [_95413] : (edge(_95413) => (! head_of(_95413)) = tail_of(_95413)), file('/export/starexec/sandbox/benchmark/Axioms/GRA001+0.ax', no_loops)).
% 73.14/70.94  fof(on_path_properties, axiom, ! [_95581, _95584, _95587, _95590] : (path(_95581, _95584, _95587) & on_path(_95590, _95587) => edge(_95590) & in_path(head_of(_95590), _95587) & in_path(tail_of(_95590), _95587)), file('/export/starexec/sandbox/benchmark/Axioms/GRA001+0.ax', on_path_properties)).
% 73.14/70.94  fof(sequential_defn, axiom, ! [_95860, _95863] : (sequential(_95860, _95863) <=> edge(_95860) & edge(_95863) & (! _95860) = _95863 & head_of(_95860) = tail_of(_95863)), file('/export/starexec/sandbox/benchmark/Axioms/GRA001+0.ax', sequential_defn)).
% 73.14/70.94  fof(precedes_properties, axiom, ! [_96095, _96098, _96101] : (path(_96098, _96101, _96095) => ! [_96122, _96125] : (precedes(_96122, _96125, _96095) => on_path(_96122, _96095) & on_path(_96125, _96095) & (sequential(_96122, _96125) <~> ? [_96176] : (sequential(_96122, _96176) & precedes(_96176, _96125, _96095))))), file('/export/starexec/sandbox/benchmark/Axioms/GRA001+0.ax', precedes_properties)).
% 73.14/70.94  fof(shortest_path_defn, axiom, ! [_96501, _96504, _96507] : (shortest_path(_96501, _96504, _96507) <=> path(_96501, _96504, _96507) & (! _96501) = _96504 & ! [_96549] : (path(_96501, _96504, _96549) => less_or_equal(length_of(_96507), length_of(_96549)))), file('/export/starexec/sandbox/benchmark/Axioms/GRA001+0.ax', shortest_path_defn)).
% 73.14/70.94  
% 73.14/70.94  cnf(1, plain, [-(complete)], clausify(sequential_is_triangle)).
% 73.14/70.94  cnf(2, plain, [-(shortest_path(10 ^ [], 11 ^ [], 14 ^ []))], clausify(sequential_is_triangle)).
% 73.14/70.94  cnf(3, plain, [-(precedes(12 ^ [], 13 ^ [], 14 ^ []))], clausify(sequential_is_triangle)).
% 73.14/70.94  cnf(4, plain, [-(sequential(12 ^ [], 13 ^ []))], clausify(sequential_is_triangle)).
% 73.14/70.94  cnf(5, plain, [triangle(12 ^ [], 13 ^ [], _50652)], clausify(sequential_is_triangle)).
% 73.14/70.94  cnf(6, plain, [_25684 = _25733, -(head_of(_25684) = head_of(_25733))], theory(equality)).
% 73.14/70.94  cnf(7, plain, [-(_17382 = _17382)], theory(equality)).
% 73.14/70.94  cnf(8, plain, [_17535 = _17580, -(_17580 = _17535)], theory(equality)).
% 73.14/70.94  cnf(9, plain, [-(_17814 = _17925), _17814 = _17870, _17870 = _17925], theory(equality)).
% 73.14/70.94  cnf(10, plain, [-(on_path(_19934, _20065)), on_path(_19867, _20000), _19867 = _19934, _20000 = _20065], theory(equality)).
% 73.14/70.94  cnf(11, plain, [-(path(_20576, _20743, _20906)), path(_20491, _20660, _20825), _20491 = _20576, _20660 = _20743, _20825 = _20906], theory(equality)).
% 73.14/70.94  cnf(12, plain, [-(triangle(_40329, _40407, _40484)), edge(_40329), edge(_40407), edge(_40484), sequential(_40329, _40407), sequential(_40407, _40484), sequential(_40484, _40329)], clausify(triangle_defn)).
% 73.14/70.94  cnf(13, plain, [complete, -(edge(9 ^ [_44029, _43940, _43850, _43759, _43667])), shortest_path(_43667, _43759, _44029), precedes(_43850, _43940, _44029)], clausify(back_edge)).
% 73.14/70.94  cnf(14, plain, [complete, -(tail_of(9 ^ [_44029, _43940, _43850, _43759, _43667]) = head_of(_43940)), shortest_path(_43667, _43759, _44029), precedes(_43850, _43940, _44029)], clausify(back_edge)).
% 73.14/70.94  cnf(15, plain, [complete, -(head_of(9 ^ [_44029, _43940, _43850, _43759, _43667]) = tail_of(_43850)), shortest_path(_43667, _43759, _44029), precedes(_43850, _43940, _44029)], clausify(back_edge)).
% 73.14/70.94  cnf(16, plain, [edge(_28654), head_of(_28654) = tail_of(_28654)], clausify(no_loops)).
% 73.14/70.94  cnf(17, plain, [-(edge(_33287)), path(_33059, _33136, _33212), on_path(_33287, _33212)], clausify(on_path_properties)).
% 73.14/70.94  cnf(18, plain, [-(sequential(_34871, _34938)), edge(_34871), edge(_34938), -(_34871 = _34938), head_of(_34871) = tail_of(_34938)], clausify(sequential_defn)).
% 73.14/70.94  cnf(19, plain, [path(_36820, _36919, _36720), precedes(_37116, _37206, _36720), -(on_path(_37116, _36720))], clausify(precedes_properties)).
% 73.14/70.94  cnf(20, plain, [path(_36820, _36919, _36720), precedes(_37116, _37206, _36720), -(on_path(_37206, _36720))], clausify(precedes_properties)).
% 73.14/70.94  cnf(21, plain, [shortest_path(_38013, _38095, _38176), -(path(_38013, _38095, _38176))], clausify(shortest_path_defn)).
% 73.14/70.94  
% 73.14/70.94  cnf('1',plain,[triangle(12 ^ [], 13 ^ [], 9 ^ [14 ^ [], 13 ^ [], 12 ^ [], 11 ^ [], 10 ^ []])],start(5,bind([[_50652], [9 ^ [14 ^ [], 13 ^ [], 12 ^ [], 11 ^ [], 10 ^ []]]]))).
% 73.14/70.94  cnf('1.1',plain,[-(triangle(12 ^ [], 13 ^ [], 9 ^ [14 ^ [], 13 ^ [], 12 ^ [], 11 ^ [], 10 ^ []])), edge(12 ^ []), edge(13 ^ []), edge(9 ^ [14 ^ [], 13 ^ [], 12 ^ [], 11 ^ [], 10 ^ []]), sequential(12 ^ [], 13 ^ []), sequential(13 ^ [], 9 ^ [14 ^ [], 13 ^ [], 12 ^ [], 11 ^ [], 10 ^ []]), sequential(9 ^ [14 ^ [], 13 ^ [], 12 ^ [], 11 ^ [], 10 ^ []], 12 ^ [])],extension(12,bind([[_40407, _40484, _40329], [13 ^ [], 9 ^ [14 ^ [], 13 ^ [], 12 ^ [], 11 ^ [], 10 ^ []], 12 ^ []]]))).
% 73.14/70.94  cnf('1.1.1',plain,[-(edge(12 ^ [])), path(10 ^ [], 11 ^ [], 14 ^ []), on_path(12 ^ [], 14 ^ [])],extension(17,bind([[_33059, _33136, _33287, _33212], [10 ^ [], 11 ^ [], 12 ^ [], 14 ^ []]]))).
% 73.14/70.94  cnf('1.1.1.1',plain,[-(path(10 ^ [], 11 ^ [], 14 ^ [])), path(10 ^ [], 11 ^ [], 14 ^ []), 10 ^ [] = 10 ^ [], 11 ^ [] = 11 ^ [], 14 ^ [] = 14 ^ []],extension(11,bind([[_20491, _20576, _20660, _20743, _20825, _20906], [10 ^ [], 10 ^ [], 11 ^ [], 11 ^ [], 14 ^ [], 14 ^ []]]))).
% 73.14/70.94  cnf('1.1.1.1.1',plain,[-(path(10 ^ [], 11 ^ [], 14 ^ [])), path(10 ^ [], 11 ^ [], 14 ^ []), 10 ^ [] = 10 ^ [], 11 ^ [] = 11 ^ [], 14 ^ [] = 14 ^ []],extension(11,bind([[_20491, _20576, _20660, _20743, _20825, _20906], [10 ^ [], 10 ^ [], 11 ^ [], 11 ^ [], 14 ^ [], 14 ^ []]]))).
% 73.14/70.94  cnf('1.1.1.1.1.1',plain,[-(path(10 ^ [], 11 ^ [], 14 ^ [])), path(10 ^ [], 11 ^ [], 14 ^ []), 10 ^ [] = 10 ^ [], 11 ^ [] = 11 ^ [], 14 ^ [] = 14 ^ []],extension(11,bind([[_20491, _20576, _20660, _20743, _20825, _20906], [10 ^ [], 10 ^ [], 11 ^ [], 11 ^ [], 14 ^ [], 14 ^ []]]))).
% 73.14/70.94  cnf('1.1.1.1.1.1.1',plain,[-(path(10 ^ [], 11 ^ [], 14 ^ [])), shortest_path(10 ^ [], 11 ^ [], 14 ^ [])],extension(21,bind([[_38013, _38095, _38176], [10 ^ [], 11 ^ [], 14 ^ []]]))).
% 73.14/70.94  cnf('1.1.1.1.1.1.1.1',plain,[-(shortest_path(10 ^ [], 11 ^ [], 14 ^ []))],extension(2)).
% 73.14/70.94  cnf('1.1.1.1.1.1.2',plain,[-(10 ^ [] = 10 ^ [])],extension(7,bind([[_17382], [10 ^ []]]))).
% 73.14/70.94  cnf('1.1.1.1.1.1.3',plain,[-(11 ^ [] = 11 ^ [])],extension(7,bind([[_17382], [11 ^ []]]))).
% 73.14/70.94  cnf('1.1.1.1.1.1.4',plain,[-(14 ^ [] = 14 ^ [])],extension(7,bind([[_17382], [14 ^ []]]))).
% 73.14/70.94  cnf('1.1.1.1.1.2',plain,[-(10 ^ [] = 10 ^ [])],extension(7,bind([[_17382], [10 ^ []]]))).
% 73.14/70.94  cnf('1.1.1.1.1.3',plain,[-(11 ^ [] = 11 ^ [])],extension(7,bind([[_17382], [11 ^ []]]))).
% 73.14/70.94  cnf('1.1.1.1.1.4',plain,[-(14 ^ [] = 14 ^ [])],extension(7,bind([[_17382], [14 ^ []]]))).
% 73.14/70.94  cnf('1.1.1.1.2',plain,[-(10 ^ [] = 10 ^ [])],extension(7,bind([[_17382], [10 ^ []]]))).
% 73.14/70.94  cnf('1.1.1.1.3',plain,[-(11 ^ [] = 11 ^ [])],extension(7,bind([[_17382], [11 ^ []]]))).
% 73.14/70.94  cnf('1.1.1.1.4',plain,[-(14 ^ [] = 14 ^ [])],extension(7,bind([[_17382], [14 ^ []]]))).
% 73.14/70.94  cnf('1.1.1.2',plain,[-(on_path(12 ^ [], 14 ^ [])), on_path(12 ^ [], 14 ^ []), 12 ^ [] = 12 ^ [], 14 ^ [] = 14 ^ []],extension(10,bind([[_19867, _19934, _20000, _20065], [12 ^ [], 12 ^ [], 14 ^ [], 14 ^ []]]))).
% 73.14/70.94  cnf('1.1.1.2.1',plain,[-(on_path(12 ^ [], 14 ^ [])), on_path(12 ^ [], 14 ^ []), 12 ^ [] = 12 ^ [], 14 ^ [] = 14 ^ []],extension(10,bind([[_19867, _19934, _20000, _20065], [12 ^ [], 12 ^ [], 14 ^ [], 14 ^ []]]))).
% 73.14/70.94  cnf('1.1.1.2.1.1',plain,[-(on_path(12 ^ [], 14 ^ [])), path(10 ^ [], 11 ^ [], 14 ^ []), precedes(12 ^ [], 13 ^ [], 14 ^ [])],extension(19,bind([[_36820, _36919, _37116, _37206, _36720], [10 ^ [], 11 ^ [], 12 ^ [], 13 ^ [], 14 ^ []]]))).
% 73.14/70.94  cnf('1.1.1.2.1.1.1',plain,[-(path(10 ^ [], 11 ^ [], 14 ^ [])), shortest_path(10 ^ [], 11 ^ [], 14 ^ [])],extension(21,bind([[_38013, _38095, _38176], [10 ^ [], 11 ^ [], 14 ^ []]]))).
% 73.14/70.94  cnf('1.1.1.2.1.1.1.1',plain,[-(shortest_path(10 ^ [], 11 ^ [], 14 ^ []))],extension(2)).
% 73.14/70.94  cnf('1.1.1.2.1.1.2',plain,[-(precedes(12 ^ [], 13 ^ [], 14 ^ []))],extension(3)).
% 73.14/70.94  cnf('1.1.1.2.1.2',plain,[-(12 ^ [] = 12 ^ [])],extension(7,bind([[_17382], [12 ^ []]]))).
% 73.14/70.94  cnf('1.1.1.2.1.3',plain,[-(14 ^ [] = 14 ^ [])],extension(7,bind([[_17382], [14 ^ []]]))).
% 73.14/70.94  cnf('1.1.1.2.2',plain,[-(12 ^ [] = 12 ^ [])],extension(7,bind([[_17382], [12 ^ []]]))).
% 73.14/70.94  cnf('1.1.1.2.3',plain,[-(14 ^ [] = 14 ^ [])],extension(7,bind([[_17382], [14 ^ []]]))).
% 73.14/70.94  cnf('1.1.2',plain,[-(edge(13 ^ [])), path(10 ^ [], 11 ^ [], 14 ^ []), on_path(13 ^ [], 14 ^ [])],extension(17,bind([[_33059, _33136, _33287, _33212], [10 ^ [], 11 ^ [], 13 ^ [], 14 ^ []]]))).
% 73.14/70.94  cnf('1.1.2.1',plain,[-(path(10 ^ [], 11 ^ [], 14 ^ [])), path(10 ^ [], 11 ^ [], 14 ^ []), 10 ^ [] = 10 ^ [], 11 ^ [] = 11 ^ [], 14 ^ [] = 14 ^ []],extension(11,bind([[_20491, _20576, _20660, _20743, _20825, _20906], [10 ^ [], 10 ^ [], 11 ^ [], 11 ^ [], 14 ^ [], 14 ^ []]]))).
% 73.14/70.94  cnf('1.1.2.1.1',plain,[-(path(10 ^ [], 11 ^ [], 14 ^ [])), path(10 ^ [], 11 ^ [], 14 ^ []), 10 ^ [] = 10 ^ [], 11 ^ [] = 11 ^ [], 14 ^ [] = 14 ^ []],extension(11,bind([[_20491, _20576, _20660, _20743, _20825, _20906], [10 ^ [], 10 ^ [], 11 ^ [], 11 ^ [], 14 ^ [], 14 ^ []]]))).
% 73.14/70.94  cnf('1.1.2.1.1.1',plain,[-(path(10 ^ [], 11 ^ [], 14 ^ [])), path(10 ^ [], 11 ^ [], 14 ^ []), 10 ^ [] = 10 ^ [], 11 ^ [] = 11 ^ [], 14 ^ [] = 14 ^ []],extension(11,bind([[_20491, _20576, _20660, _20743, _20825, _20906], [10 ^ [], 10 ^ [], 11 ^ [], 11 ^ [], 14 ^ [], 14 ^ []]]))).
% 73.14/70.94  cnf('1.1.2.1.1.1.1',plain,[-(path(10 ^ [], 11 ^ [], 14 ^ [])), shortest_path(10 ^ [], 11 ^ [], 14 ^ [])],extension(21,bind([[_38013, _38095, _38176], [10 ^ [], 11 ^ [], 14 ^ []]]))).
% 73.14/70.94  cnf('1.1.2.1.1.1.1.1',plain,[-(shortest_path(10 ^ [], 11 ^ [], 14 ^ []))],extension(2)).
% 73.14/70.94  cnf('1.1.2.1.1.1.2',plain,[-(10 ^ [] = 10 ^ [])],extension(7,bind([[_17382], [10 ^ []]]))).
% 73.14/70.94  cnf('1.1.2.1.1.1.3',plain,[-(11 ^ [] = 11 ^ [])],extension(7,bind([[_17382], [11 ^ []]]))).
% 73.14/70.94  cnf('1.1.2.1.1.1.4',plain,[-(14 ^ [] = 14 ^ [])],extension(7,bind([[_17382], [14 ^ []]]))).
% 73.14/70.94  cnf('1.1.2.1.1.2',plain,[-(10 ^ [] = 10 ^ [])],extension(7,bind([[_17382], [10 ^ []]]))).
% 73.14/70.94  cnf('1.1.2.1.1.3',plain,[-(11 ^ [] = 11 ^ [])],extension(7,bind([[_17382], [11 ^ []]]))).
% 73.14/70.94  cnf('1.1.2.1.1.4',plain,[-(14 ^ [] = 14 ^ [])],extension(7,bind([[_17382], [14 ^ []]]))).
% 73.14/70.94  cnf('1.1.2.1.2',plain,[-(10 ^ [] = 10 ^ [])],extension(7,bind([[_17382], [10 ^ []]]))).
% 73.14/70.94  cnf('1.1.2.1.3',plain,[-(11 ^ [] = 11 ^ [])],extension(7,bind([[_17382], [11 ^ []]]))).
% 73.14/70.94  cnf('1.1.2.1.4',plain,[-(14 ^ [] = 14 ^ [])],extension(7,bind([[_17382], [14 ^ []]]))).
% 73.14/70.94  cnf('1.1.2.2',plain,[-(on_path(13 ^ [], 14 ^ [])), path(10 ^ [], 11 ^ [], 14 ^ []), precedes(12 ^ [], 13 ^ [], 14 ^ [])],extension(20,bind([[_36820, _36919, _37116, _37206, _36720], [10 ^ [], 11 ^ [], 12 ^ [], 13 ^ [], 14 ^ []]]))).
% 73.14/70.94  cnf('1.1.2.2.1',plain,[-(path(10 ^ [], 11 ^ [], 14 ^ [])), path(10 ^ [], 11 ^ [], 14 ^ []), 10 ^ [] = 10 ^ [], 11 ^ [] = 11 ^ [], 14 ^ [] = 14 ^ []],extension(11,bind([[_20491, _20576, _20660, _20743, _20825, _20906], [10 ^ [], 10 ^ [], 11 ^ [], 11 ^ [], 14 ^ [], 14 ^ []]]))).
% 73.14/70.94  cnf('1.1.2.2.1.1',plain,[-(path(10 ^ [], 11 ^ [], 14 ^ [])), path(10 ^ [], 11 ^ [], 14 ^ []), 10 ^ [] = 10 ^ [], 11 ^ [] = 11 ^ [], 14 ^ [] = 14 ^ []],extension(11,bind([[_20491, _20576, _20660, _20743, _20825, _20906], [10 ^ [], 10 ^ [], 11 ^ [], 11 ^ [], 14 ^ [], 14 ^ []]]))).
% 73.14/70.94  cnf('1.1.2.2.1.1.1',plain,[-(path(10 ^ [], 11 ^ [], 14 ^ [])), shortest_path(10 ^ [], 11 ^ [], 14 ^ [])],extension(21,bind([[_38013, _38095, _38176], [10 ^ [], 11 ^ [], 14 ^ []]]))).
% 73.14/70.94  cnf('1.1.2.2.1.1.1.1',plain,[-(shortest_path(10 ^ [], 11 ^ [], 14 ^ []))],extension(2)).
% 73.14/70.94  cnf('1.1.2.2.1.1.2',plain,[-(10 ^ [] = 10 ^ [])],extension(7,bind([[_17382], [10 ^ []]]))).
% 73.14/70.94  cnf('1.1.2.2.1.1.3',plain,[-(11 ^ [] = 11 ^ [])],extension(7,bind([[_17382], [11 ^ []]]))).
% 73.14/70.94  cnf('1.1.2.2.1.1.4',plain,[-(14 ^ [] = 14 ^ [])],extension(7,bind([[_17382], [14 ^ []]]))).
% 73.14/70.94  cnf('1.1.2.2.1.2',plain,[-(10 ^ [] = 10 ^ [])],extension(7,bind([[_17382], [10 ^ []]]))).
% 73.14/70.94  cnf('1.1.2.2.1.3',plain,[-(11 ^ [] = 11 ^ [])],extension(7,bind([[_17382], [11 ^ []]]))).
% 73.14/70.94  cnf('1.1.2.2.1.4',plain,[-(14 ^ [] = 14 ^ [])],extension(7,bind([[_17382], [14 ^ []]]))).
% 73.14/70.94  cnf('1.1.2.2.2',plain,[-(precedes(12 ^ [], 13 ^ [], 14 ^ []))],extension(3)).
% 73.14/70.94  cnf('1.1.3',plain,[-(edge(9 ^ [14 ^ [], 13 ^ [], 12 ^ [], 11 ^ [], 10 ^ []])), complete, shortest_path(10 ^ [], 11 ^ [], 14 ^ []), precedes(12 ^ [], 13 ^ [], 14 ^ [])],extension(13,bind([[_43667, _43759, _43850, _43940, _44029], [10 ^ [], 11 ^ [], 12 ^ [], 13 ^ [], 14 ^ []]]))).
% 73.14/70.94  cnf('1.1.3.1',plain,[-(complete)],extension(1)).
% 73.14/70.94  cnf('1.1.3.2',plain,[-(shortest_path(10 ^ [], 11 ^ [], 14 ^ []))],extension(2)).
% 73.14/70.94  cnf('1.1.3.3',plain,[-(precedes(12 ^ [], 13 ^ [], 14 ^ []))],extension(3)).
% 73.14/70.94  cnf('1.1.4',plain,[-(sequential(12 ^ [], 13 ^ []))],extension(4)).
% 73.14/70.94  cnf('1.1.5',plain,[-(sequential(13 ^ [], 9 ^ [14 ^ [], 13 ^ [], 12 ^ [], 11 ^ [], 10 ^ []])), edge(13 ^ []), edge(9 ^ [14 ^ [], 13 ^ [], 12 ^ [], 11 ^ [], 10 ^ []]), -(13 ^ [] = 9 ^ [14 ^ [], 13 ^ [], 12 ^ [], 11 ^ [], 10 ^ []]), head_of(13 ^ []) = tail_of(9 ^ [14 ^ [], 13 ^ [], 12 ^ [], 11 ^ [], 10 ^ []])],extension(18,bind([[_34871, _34938], [13 ^ [], 9 ^ [14 ^ [], 13 ^ [], 12 ^ [], 11 ^ [], 10 ^ []]]]))).
% 73.14/70.94  cnf('1.1.5.1',plain,[-(edge(13 ^ []))],lemmata('1.1')).
% 73.14/70.94  cnf('1.1.5.2',plain,[-(edge(9 ^ [14 ^ [], 13 ^ [], 12 ^ [], 11 ^ [], 10 ^ []]))],lemmata('1.1')).
% 73.14/70.94  cnf('1.1.5.3',plain,[13 ^ [] = 9 ^ [14 ^ [], 13 ^ [], 12 ^ [], 11 ^ [], 10 ^ []], -(head_of(13 ^ []) = head_of(9 ^ [14 ^ [], 13 ^ [], 12 ^ [], 11 ^ [], 10 ^ []]))],extension(6,bind([[_25684, _25733], [13 ^ [], 9 ^ [14 ^ [], 13 ^ [], 12 ^ [], 11 ^ [], 10 ^ []]]]))).
% 73.14/70.94  cnf('1.1.5.3.1',plain,[head_of(13 ^ []) = head_of(9 ^ [14 ^ [], 13 ^ [], 12 ^ [], 11 ^ [], 10 ^ []]), -(tail_of(9 ^ [14 ^ [], 13 ^ [], 12 ^ [], 11 ^ [], 10 ^ []]) = head_of(9 ^ [14 ^ [], 13 ^ [], 12 ^ [], 11 ^ [], 10 ^ []])), tail_of(9 ^ [14 ^ [], 13 ^ [], 12 ^ [], 11 ^ [], 10 ^ []]) = head_of(13 ^ [])],extension(9,bind([[_17925, _17814, _17870], [head_of(9 ^ [14 ^ [], 13 ^ [], 12 ^ [], 11 ^ [], 10 ^ []]), tail_of(9 ^ [14 ^ [], 13 ^ [], 12 ^ [], 11 ^ [], 10 ^ []]), head_of(13 ^ [])]]))).
% 73.14/70.94  cnf('1.1.5.3.1.1',plain,[tail_of(9 ^ [14 ^ [], 13 ^ [], 12 ^ [], 11 ^ [], 10 ^ []]) = head_of(9 ^ [14 ^ [], 13 ^ [], 12 ^ [], 11 ^ [], 10 ^ []]), -(head_of(9 ^ [14 ^ [], 13 ^ [], 12 ^ [], 11 ^ [], 10 ^ []]) = tail_of(9 ^ [14 ^ [], 13 ^ [], 12 ^ [], 11 ^ [], 10 ^ []]))],extension(8,bind([[_17580, _17535], [head_of(9 ^ [14 ^ [], 13 ^ [], 12 ^ [], 11 ^ [], 10 ^ []]), tail_of(9 ^ [14 ^ [], 13 ^ [], 12 ^ [], 11 ^ [], 10 ^ []])]]))).
% 73.14/70.94  cnf('1.1.5.3.1.1.1',plain,[head_of(9 ^ [14 ^ [], 13 ^ [], 12 ^ [], 11 ^ [], 10 ^ []]) = tail_of(9 ^ [14 ^ [], 13 ^ [], 12 ^ [], 11 ^ [], 10 ^ []]), edge(9 ^ [14 ^ [], 13 ^ [], 12 ^ [], 11 ^ [], 10 ^ []])],extension(16,bind([[_28654], [9 ^ [14 ^ [], 13 ^ [], 12 ^ [], 11 ^ [], 10 ^ []]]]))).
% 73.14/70.94  cnf('1.1.5.3.1.1.1.1',plain,[-(edge(9 ^ [14 ^ [], 13 ^ [], 12 ^ [], 11 ^ [], 10 ^ []]))],lemmata('1.1.5')).
% 73.14/70.94  cnf('1.1.5.3.1.2',plain,[-(tail_of(9 ^ [14 ^ [], 13 ^ [], 12 ^ [], 11 ^ [], 10 ^ []]) = head_of(13 ^ [])), complete, shortest_path(10 ^ [], 11 ^ [], 14 ^ []), precedes(12 ^ [], 13 ^ [], 14 ^ [])],extension(14,bind([[_43667, _43759, _43850, _43940, _44029], [10 ^ [], 11 ^ [], 12 ^ [], 13 ^ [], 14 ^ []]]))).
% 73.14/70.94  cnf('1.1.5.3.1.2.1',plain,[-(complete)],extension(1)).
% 73.14/70.94  cnf('1.1.5.3.1.2.2',plain,[-(shortest_path(10 ^ [], 11 ^ [], 14 ^ []))],extension(2)).
% 73.14/70.94  cnf('1.1.5.3.1.2.3',plain,[-(precedes(12 ^ [], 13 ^ [], 14 ^ []))],extension(3)).
% 73.14/70.94  cnf('1.1.5.4',plain,[-(head_of(13 ^ []) = tail_of(9 ^ [14 ^ [], 13 ^ [], 12 ^ [], 11 ^ [], 10 ^ []])), tail_of(9 ^ [14 ^ [], 13 ^ [], 12 ^ [], 11 ^ [], 10 ^ []]) = head_of(13 ^ [])],extension(8,bind([[_17535, _17580], [tail_of(9 ^ [14 ^ [], 13 ^ [], 12 ^ [], 11 ^ [], 10 ^ []]), head_of(13 ^ [])]]))).
% 73.14/70.94  cnf('1.1.5.4.1',plain,[-(tail_of(9 ^ [14 ^ [], 13 ^ [], 12 ^ [], 11 ^ [], 10 ^ []]) = head_of(13 ^ [])), complete, shortest_path(10 ^ [], 11 ^ [], 14 ^ []), precedes(12 ^ [], 13 ^ [], 14 ^ [])],extension(14,bind([[_43667, _43759, _43850, _43940, _44029], [10 ^ [], 11 ^ [], 12 ^ [], 13 ^ [], 14 ^ []]]))).
% 73.14/70.94  cnf('1.1.5.4.1.1',plain,[-(complete)],extension(1)).
% 73.14/70.94  cnf('1.1.5.4.1.2',plain,[-(shortest_path(10 ^ [], 11 ^ [], 14 ^ []))],extension(2)).
% 73.14/70.94  cnf('1.1.5.4.1.3',plain,[-(precedes(12 ^ [], 13 ^ [], 14 ^ []))],extension(3)).
% 73.14/70.94  cnf('1.1.6',plain,[-(sequential(9 ^ [14 ^ [], 13 ^ [], 12 ^ [], 11 ^ [], 10 ^ []], 12 ^ [])), edge(9 ^ [14 ^ [], 13 ^ [], 12 ^ [], 11 ^ [], 10 ^ []]), edge(12 ^ []), -(9 ^ [14 ^ [], 13 ^ [], 12 ^ [], 11 ^ [], 10 ^ []] = 12 ^ []), head_of(9 ^ [14 ^ [], 13 ^ [], 12 ^ [], 11 ^ [], 10 ^ []]) = tail_of(12 ^ [])],extension(18,bind([[_34871, _34938], [9 ^ [14 ^ [], 13 ^ [], 12 ^ [], 11 ^ [], 10 ^ []], 12 ^ []]]))).
% 73.14/70.94  cnf('1.1.6.1',plain,[-(edge(9 ^ [14 ^ [], 13 ^ [], 12 ^ [], 11 ^ [], 10 ^ []]))],lemmata('1.1')).
% 73.14/70.94  cnf('1.1.6.2',plain,[-(edge(12 ^ []))],lemmata('1.1')).
% 73.14/70.94  cnf('1.1.6.3',plain,[9 ^ [14 ^ [], 13 ^ [], 12 ^ [], 11 ^ [], 10 ^ []] = 12 ^ [], -(head_of(9 ^ [14 ^ [], 13 ^ [], 12 ^ [], 11 ^ [], 10 ^ []]) = head_of(12 ^ []))],extension(6,bind([[_25684, _25733], [9 ^ [14 ^ [], 13 ^ [], 12 ^ [], 11 ^ [], 10 ^ []], 12 ^ []]]))).
% 73.14/70.94  cnf('1.1.6.3.1',plain,[head_of(9 ^ [14 ^ [], 13 ^ [], 12 ^ [], 11 ^ [], 10 ^ []]) = head_of(12 ^ []), -(head_of(12 ^ []) = head_of(9 ^ [14 ^ [], 13 ^ [], 12 ^ [], 11 ^ [], 10 ^ []]))],extension(8,bind([[_17580, _17535], [head_of(12 ^ []), head_of(9 ^ [14 ^ [], 13 ^ [], 12 ^ [], 11 ^ [], 10 ^ []])]]))).
% 73.14/70.94  cnf('1.1.6.3.1.1',plain,[head_of(12 ^ []) = head_of(9 ^ [14 ^ [], 13 ^ [], 12 ^ [], 11 ^ [], 10 ^ []]), -(head_of(12 ^ []) = tail_of(12 ^ [])), head_of(9 ^ [14 ^ [], 13 ^ [], 12 ^ [], 11 ^ [], 10 ^ []]) = tail_of(12 ^ [])],extension(9,bind([[_17814, _17870, _17925], [head_of(12 ^ []), head_of(9 ^ [14 ^ [], 13 ^ [], 12 ^ [], 11 ^ [], 10 ^ []]), tail_of(12 ^ [])]]))).
% 73.14/70.94  cnf('1.1.6.3.1.1.1',plain,[head_of(12 ^ []) = tail_of(12 ^ []), edge(12 ^ [])],extension(16,bind([[_28654], [12 ^ []]]))).
% 73.14/70.94  cnf('1.1.6.3.1.1.1.1',plain,[-(edge(12 ^ []))],lemmata('1.1.6')).
% 73.14/70.94  cnf('1.1.6.3.1.1.2',plain,[-(head_of(9 ^ [14 ^ [], 13 ^ [], 12 ^ [], 11 ^ [], 10 ^ []]) = tail_of(12 ^ [])), complete, shortest_path(10 ^ [], 11 ^ [], 14 ^ []), precedes(12 ^ [], 13 ^ [], 14 ^ [])],extension(15,bind([[_43667, _43759, _43850, _43940, _44029], [10 ^ [], 11 ^ [], 12 ^ [], 13 ^ [], 14 ^ []]]))).
% 73.14/70.94  cnf('1.1.6.3.1.1.2.1',plain,[-(complete)],extension(1)).
% 73.14/70.94  cnf('1.1.6.3.1.1.2.2',plain,[-(shortest_path(10 ^ [], 11 ^ [], 14 ^ []))],extension(2)).
% 73.14/70.94  cnf('1.1.6.3.1.1.2.3',plain,[-(precedes(12 ^ [], 13 ^ [], 14 ^ []))],extension(3)).
% 73.14/70.94  cnf('1.1.6.4',plain,[-(head_of(9 ^ [14 ^ [], 13 ^ [], 12 ^ [], 11 ^ [], 10 ^ []]) = tail_of(12 ^ [])), complete, shortest_path(10 ^ [], 11 ^ [], 14 ^ []), precedes(12 ^ [], 13 ^ [], 14 ^ [])],extension(15,bind([[_43667, _43759, _43850, _43940, _44029], [10 ^ [], 11 ^ [], 12 ^ [], 13 ^ [], 14 ^ []]]))).
% 73.14/70.94  cnf('1.1.6.4.1',plain,[-(complete)],extension(1)).
% 73.14/70.94  cnf('1.1.6.4.2',plain,[-(shortest_path(10 ^ [], 11 ^ [], 14 ^ []))],extension(2)).
% 73.14/70.94  cnf('1.1.6.4.3',plain,[-(precedes(12 ^ [], 13 ^ [], 14 ^ []))],extension(3)).
% 73.14/70.94  %-----------------------------------------------------
% 73.14/70.94  
% 73.14/70.94  % SZS output end Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
%------------------------------------------------------------------------------