TSTP Solution File: GEO217+2 by leanCoP---2.2

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : leanCoP---2.2
% Problem  : GEO217+2 : TPTP v8.1.0. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : leancop_casc.sh %s %d

% Computer : n007.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 05:03:49 EDT 2022

% Result   : Theorem 0.28s 1.41s
% Output   : Proof 0.28s
% Verified : 
% SZS Type : -

% Comments : 
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%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : GEO217+2 : TPTP v8.1.0. Released v3.3.0.
% 0.11/0.13  % Command  : leancop_casc.sh %s %d
% 0.12/0.34  % Computer : n007.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 600
% 0.12/0.34  % DateTime : Sat Jun 18 11:26:28 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.28/1.41  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.28/1.42  % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.28/1.42  
% 0.28/1.42  %-----------------------------------------------------
% 0.28/1.42  fof(con, conjecture, ! [_22051, _22054, _22057] : (~ convergent_lines(_22051, _22054) & ~ convergent_lines(_22051, _22057) => ~ convergent_lines(_22054, _22057)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', con)).
% 0.28/1.42  fof(couo1, axiom, ! [_22280, _22283, _22286] : (~ unorthogonal_lines(_22280, _22283) & ~ unorthogonal_lines(_22280, _22286) => ~ convergent_lines(_22283, _22286)), file('/export/starexec/sandbox/benchmark/Axioms/GEO006+4.ax', couo1)).
% 0.28/1.42  fof(cotno1, axiom, ! [_22486, _22489, _22492] : ((~ convergent_lines(_22486, _22489) | ~ unorthogonal_lines(_22486, _22489)) & (~ convergent_lines(_22486, _22492) | ~ unorthogonal_lines(_22486, _22492)) => ~ convergent_lines(_22489, _22492) | ~ unorthogonal_lines(_22489, _22492)), file('/export/starexec/sandbox/benchmark/Axioms/GEO006+4.ax', cotno1)).
% 0.28/1.42  fof(apart3, axiom, ! [_22802] : ~ convergent_lines(_22802, _22802), file('/export/starexec/sandbox/benchmark/Axioms/GEO008+0.ax', apart3)).
% 0.28/1.42  fof(apart6, axiom, ! [_22918, _22921, _22924] : (convergent_lines(_22918, _22921) => convergent_lines(_22918, _22924) | convergent_lines(_22921, _22924)), file('/export/starexec/sandbox/benchmark/Axioms/GEO008+0.ax', apart6)).
% 0.28/1.42  
% 0.28/1.42  cnf(1, plain, [convergent_lines(1 ^ [], 2 ^ [])], clausify(con)).
% 0.28/1.42  cnf(2, plain, [convergent_lines(1 ^ [], 3 ^ [])], clausify(con)).
% 0.28/1.42  cnf(3, plain, [-(convergent_lines(2 ^ [], 3 ^ []))], clausify(con)).
% 0.28/1.42  cnf(4, plain, [convergent_lines(_13739, _13800), -(unorthogonal_lines(_13677, _13739)), -(unorthogonal_lines(_13677, _13800))], clausify(couo1)).
% 0.28/1.42  cnf(5, plain, [-(convergent_lines(_12812, _12983)), -(convergent_lines(_12812, _12898)), convergent_lines(_12898, _12983), unorthogonal_lines(_12898, _12983)], clausify(cotno1)).
% 0.28/1.42  cnf(6, plain, [convergent_lines(_7399, _7399)], clausify(apart3)).
% 0.28/1.42  cnf(7, plain, [convergent_lines(_8525, _8581), -(convergent_lines(_8525, _8636)), -(convergent_lines(_8581, _8636))], clausify(apart6)).
% 0.28/1.42  
% 0.28/1.42  cnf('1',plain,[convergent_lines(1 ^ [], 2 ^ [])],start(1)).
% 0.28/1.42  cnf('1.1',plain,[-(convergent_lines(1 ^ [], 2 ^ [])), convergent_lines(2 ^ [], 1 ^ []), -(convergent_lines(2 ^ [], 2 ^ []))],extension(7,bind([[_8581, _8525, _8636], [1 ^ [], 2 ^ [], 2 ^ []]]))).
% 0.28/1.42  cnf('1.1.1',plain,[-(convergent_lines(2 ^ [], 1 ^ [])), convergent_lines(2 ^ [], 3 ^ []), -(convergent_lines(3 ^ [], 1 ^ []))],extension(7,bind([[_8525, _8581, _8636], [2 ^ [], 3 ^ [], 1 ^ []]]))).
% 0.28/1.42  cnf('1.1.1.1',plain,[-(convergent_lines(2 ^ [], 3 ^ []))],extension(3)).
% 0.28/1.42  cnf('1.1.1.2',plain,[convergent_lines(3 ^ [], 1 ^ []), -(convergent_lines(3 ^ [], 3 ^ [])), -(convergent_lines(1 ^ [], 3 ^ []))],extension(7,bind([[_8525, _8581, _8636], [3 ^ [], 1 ^ [], 3 ^ []]]))).
% 0.28/1.42  cnf('1.1.1.2.1',plain,[convergent_lines(3 ^ [], 3 ^ [])],extension(6,bind([[_7399], [3 ^ []]]))).
% 0.28/1.42  cnf('1.1.1.2.2',plain,[convergent_lines(1 ^ [], 3 ^ [])],extension(2)).
% 0.28/1.42  cnf('1.1.2',plain,[convergent_lines(2 ^ [], 2 ^ []), -(unorthogonal_lines(2 ^ [], 2 ^ [])), -(unorthogonal_lines(2 ^ [], 2 ^ []))],extension(4,bind([[_13739, _13677, _13800], [2 ^ [], 2 ^ [], 2 ^ []]]))).
% 0.28/1.42  cnf('1.1.2.1',plain,[unorthogonal_lines(2 ^ [], 2 ^ []), -(convergent_lines(1 ^ [], 2 ^ [])), -(convergent_lines(1 ^ [], 2 ^ [])), convergent_lines(2 ^ [], 2 ^ [])],extension(5,bind([[_12812, _12898, _12983], [1 ^ [], 2 ^ [], 2 ^ []]]))).
% 0.28/1.42  cnf('1.1.2.1.1',plain,[convergent_lines(1 ^ [], 2 ^ [])],extension(1)).
% 0.28/1.42  cnf('1.1.2.1.2',plain,[convergent_lines(1 ^ [], 2 ^ [])],extension(1)).
% 0.28/1.42  cnf('1.1.2.1.3',plain,[-(convergent_lines(2 ^ [], 2 ^ []))],reduction('1.1')).
% 0.28/1.42  cnf('1.1.2.2',plain,[unorthogonal_lines(2 ^ [], 2 ^ [])],lemmata('1.1.2')).
% 0.28/1.42  %-----------------------------------------------------
% 0.28/1.43  
% 0.28/1.43  % SZS output end Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
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