TSTP Solution File: GEO125+1 by leanCoP---2.2

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : leanCoP---2.2
% Problem  : GEO125+1 : TPTP v8.1.0. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : leancop_casc.sh %s %d

% Computer : n004.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 05:02:52 EDT 2022

% Result   : Theorem 5.43s 5.59s
% Output   : Proof 5.49s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.14  % Problem  : GEO125+1 : TPTP v8.1.0. Released v2.4.0.
% 0.08/0.14  % Command  : leancop_casc.sh %s %d
% 0.14/0.36  % Computer : n004.cluster.edu
% 0.14/0.36  % Model    : x86_64 x86_64
% 0.14/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36  % Memory   : 8042.1875MB
% 0.14/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit : 300
% 0.14/0.36  % WCLimit  : 600
% 0.14/0.36  % DateTime : Fri Jun 17 20:45:08 EDT 2022
% 0.14/0.36  % CPUTime  : 
% 5.43/5.59  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 5.49/5.60  % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 5.49/5.61  
% 5.49/5.61  %-----------------------------------------------------
% 5.49/5.61  fof(corollary_4_10_2, conjecture, ! [_76657, _76660, _76663] : (finish_point(_76660, _76657) & finish_point(_76663, _76657) => _76660 = _76663), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', corollary_4_10_2)).
% 5.49/5.61  fof(between_c_defn, axiom, ! [_76911, _76914, _76917, _76920] : (between_c(_76911, _76914, _76917, _76920) <=> (! _76914) = _76920 & ? [_76952] : (part_of(_76952, _76911) & end_point(_76914, _76952) & end_point(_76920, _76952) & inner_point(_76917, _76952))), file('/export/starexec/sandbox2/benchmark/Axioms/GEO004+1.ax', between_c_defn)).
% 5.49/5.61  fof(between_o_defn, axiom, ! [_77247, _77250, _77253, _77256] : (between_o(_77247, _77250, _77253, _77256) <=> ordered_by(_77247, _77250, _77253) & ordered_by(_77247, _77253, _77256) | ordered_by(_77247, _77256, _77253) & ordered_by(_77247, _77253, _77250)), file('/export/starexec/sandbox2/benchmark/Axioms/GEO004+2.ax', between_o_defn)).
% 5.49/5.61  fof(finish_point_defn, axiom, ! [_77550, _77553] : (finish_point(_77550, _77553) <=> incident_o(_77550, _77553) & ! [_77581] : ((! _77550) = _77581 & incident_o(_77581, _77553) => ordered_by(_77553, _77581, _77550))), file('/export/starexec/sandbox2/benchmark/Axioms/GEO004+2.ax', finish_point_defn)).
% 5.49/5.61  fof(o3, axiom, ! [_77837, _77840, _77843, _77846] : (between_o(_77846, _77837, _77840, _77843) <=> ? [_77870] : (! [_77837] : (incident_o(_77837, _77846) <=> incident_c(_77837, _77870)) & between_c(_77870, _77837, _77840, _77843))), file('/export/starexec/sandbox2/benchmark/Axioms/GEO004+2.ax', o3)).
% 5.49/5.61  
% 5.49/5.61  cnf(1, plain, [-(finish_point(26 ^ [], 25 ^ []))], clausify(corollary_4_10_2)).
% 5.49/5.61  cnf(2, plain, [-(finish_point(27 ^ [], 25 ^ []))], clausify(corollary_4_10_2)).
% 5.49/5.61  cnf(3, plain, [26 ^ [] = 27 ^ []], clausify(corollary_4_10_2)).
% 5.49/5.61  cnf(4, plain, [-(_19226 = _19226)], theory(equality)).
% 5.49/5.61  cnf(5, plain, [_19379 = _19424, -(_19424 = _19379)], theory(equality)).
% 5.49/5.61  cnf(6, plain, [-(incident_o(_25390, _25521)), incident_o(_25323, _25456), _25323 = _25390, _25456 = _25521], theory(equality)).
% 5.49/5.61  cnf(7, plain, [between_c(_41736, _41824, _41911, _41997), _41824 = _41997], clausify(between_c_defn)).
% 5.49/5.61  cnf(8, plain, [-(between_o(_42785, _42864, _42942, _43019)), ordered_by(_42785, _42864, _42942), ordered_by(_42785, _42942, _43019)], clausify(between_o_defn)).
% 5.49/5.61  cnf(9, plain, [finish_point(_44496, _44567), -(incident_o(_44496, _44567))], clausify(finish_point_defn)).
% 5.49/5.61  cnf(10, plain, [finish_point(_44496, _44567), -(ordered_by(_44567, _44755, _44496)), -(_44496 = _44755), incident_o(_44755, _44567)], clausify(finish_point_defn)).
% 5.49/5.61  cnf(11, plain, [between_o(_46389, _46149, _46230, _46310), -(between_c(18 ^ [_46389, _46310, _46230, _46149], _46149, _46230, _46310))], clausify(o3)).
% 5.49/5.61  
% 5.49/5.61  cnf('1',plain,[26 ^ [] = 27 ^ []],start(3)).
% 5.49/5.61  cnf('1.1',plain,[-(26 ^ [] = 27 ^ []), finish_point(26 ^ [], 25 ^ []), -(ordered_by(25 ^ [], 27 ^ [], 26 ^ [])), incident_o(27 ^ [], 25 ^ [])],extension(10,bind([[_44496, _44755, _44567], [26 ^ [], 27 ^ [], 25 ^ []]]))).
% 5.49/5.61  cnf('1.1.1',plain,[-(finish_point(26 ^ [], 25 ^ []))],extension(1)).
% 5.49/5.61  cnf('1.1.2',plain,[ordered_by(25 ^ [], 27 ^ [], 26 ^ []), -(between_o(25 ^ [], 27 ^ [], 26 ^ [], 27 ^ [])), ordered_by(25 ^ [], 26 ^ [], 27 ^ [])],extension(8,bind([[_42864, _42785, _42942, _43019], [27 ^ [], 25 ^ [], 26 ^ [], 27 ^ []]]))).
% 5.49/5.61  cnf('1.1.2.1',plain,[between_o(25 ^ [], 27 ^ [], 26 ^ [], 27 ^ []), -(between_c(18 ^ [25 ^ [], 27 ^ [], 26 ^ [], 27 ^ []], 27 ^ [], 26 ^ [], 27 ^ []))],extension(11,bind([[_46389, _46149, _46230, _46310], [25 ^ [], 27 ^ [], 26 ^ [], 27 ^ []]]))).
% 5.49/5.61  cnf('1.1.2.1.1',plain,[between_c(18 ^ [25 ^ [], 27 ^ [], 26 ^ [], 27 ^ []], 27 ^ [], 26 ^ [], 27 ^ []), 27 ^ [] = 27 ^ []],extension(7,bind([[_41736, _41911, _41824, _41997], [18 ^ [25 ^ [], 27 ^ [], 26 ^ [], 27 ^ []], 26 ^ [], 27 ^ [], 27 ^ []]]))).
% 5.49/5.61  cnf('1.1.2.1.1.1',plain,[-(27 ^ [] = 27 ^ [])],extension(4,bind([[_19226], [27 ^ []]]))).
% 5.49/5.61  cnf('1.1.2.2',plain,[-(ordered_by(25 ^ [], 26 ^ [], 27 ^ [])), finish_point(27 ^ [], 25 ^ []), -(27 ^ [] = 26 ^ []), incident_o(26 ^ [], 25 ^ [])],extension(10,bind([[_44496, _44755, _44567], [27 ^ [], 26 ^ [], 25 ^ []]]))).
% 5.49/5.61  cnf('1.1.2.2.1',plain,[-(finish_point(27 ^ [], 25 ^ []))],extension(2)).
% 5.49/5.61  cnf('1.1.2.2.2',plain,[27 ^ [] = 26 ^ [], -(26 ^ [] = 27 ^ [])],extension(5,bind([[_19424, _19379], [26 ^ [], 27 ^ []]]))).
% 5.49/5.61  cnf('1.1.2.2.2.1',plain,[26 ^ [] = 27 ^ []],extension(3)).
% 5.49/5.61  cnf('1.1.2.2.3',plain,[-(incident_o(26 ^ [], 25 ^ [])), incident_o(26 ^ [], 25 ^ []), 26 ^ [] = 26 ^ [], 25 ^ [] = 25 ^ []],extension(6,bind([[_25323, _25390, _25456, _25521], [26 ^ [], 26 ^ [], 25 ^ [], 25 ^ []]]))).
% 5.49/5.61  cnf('1.1.2.2.3.1',plain,[-(incident_o(26 ^ [], 25 ^ [])), finish_point(26 ^ [], 25 ^ [])],extension(9,bind([[_44496, _44567], [26 ^ [], 25 ^ []]]))).
% 5.49/5.61  cnf('1.1.2.2.3.1.1',plain,[-(finish_point(26 ^ [], 25 ^ []))],extension(1)).
% 5.49/5.61  cnf('1.1.2.2.3.2',plain,[-(26 ^ [] = 26 ^ [])],extension(4,bind([[_19226], [26 ^ []]]))).
% 5.49/5.61  cnf('1.1.2.2.3.3',plain,[-(25 ^ [] = 25 ^ [])],extension(4,bind([[_19226], [25 ^ []]]))).
% 5.49/5.61  cnf('1.1.3',plain,[-(incident_o(27 ^ [], 25 ^ [])), finish_point(27 ^ [], 25 ^ [])],extension(9,bind([[_44496, _44567], [27 ^ [], 25 ^ []]]))).
% 5.49/5.61  cnf('1.1.3.1',plain,[-(finish_point(27 ^ [], 25 ^ []))],extension(2)).
% 5.49/5.61  %-----------------------------------------------------
% 5.49/5.61  
% 5.49/5.61  % SZS output end Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
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