TSTP Solution File: GEO215+3 by Paradox---4.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Paradox---4.0
% Problem  : GEO215+3 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:short
% Command  : paradox --no-progress --time %d --tstp --model %s

% Computer : n018.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 05:47:03 EDT 2022

% Result   : CounterSatisfiable 0.20s 0.39s
% Output   : FiniteModel 0.20s
% Verified : 
% SZS Type : FiniteModel
%            Domain size           :    2

% Comments : 
%------------------------------------------------------------------------------
% domain size is 2
fof(domain,fi_domain,
    ! [X] :
      ( X = "1"
      | X = "2" ) ).

fof(apart_point_and_line,fi_predicates,
    ( ( apart_point_and_line("1","1")
    <=> $false )
    & ( apart_point_and_line("1","2")
    <=> $false )
    & ( apart_point_and_line("2","1")
    <=> $false )
    & ( apart_point_and_line("2","2")
    <=> $false ) ) ).

fof(convergent_lines,fi_predicates,
    ( ( convergent_lines("1","1")
    <=> $false )
    & ( convergent_lines("1","2")
    <=> $true )
    & ( convergent_lines("2","1")
    <=> $true )
    & ( convergent_lines("2","2")
    <=> $false ) ) ).

fof(distinct_lines,fi_predicates,
    ( ( distinct_lines("1","1")
    <=> $false )
    & ( distinct_lines("1","2")
    <=> $true )
    & ( distinct_lines("2","1")
    <=> $true )
    & ( distinct_lines("2","2")
    <=> $false ) ) ).

fof(distinct_points,fi_predicates,
    ( ( distinct_points("1","1")
    <=> $false )
    & ( distinct_points("1","2")
    <=> $false )
    & ( distinct_points("2","1")
    <=> $false )
    & ( distinct_points("2","2")
    <=> $false ) ) ).

fof(equal_lines,fi_predicates,
    ( ( equal_lines("1","1")
    <=> $true )
    & ( equal_lines("1","2")
    <=> $false )
    & ( equal_lines("2","1")
    <=> $false )
    & ( equal_lines("2","2")
    <=> $true ) ) ).

fof(equal_points,fi_predicates,
    ( ( equal_points("1","1")
    <=> $true )
    & ( equal_points("1","2")
    <=> $true )
    & ( equal_points("2","1")
    <=> $true )
    & ( equal_points("2","2")
    <=> $true ) ) ).

fof(incident_point_and_line,fi_predicates,
    ( ( incident_point_and_line("1","1")
    <=> $true )
    & ( incident_point_and_line("1","2")
    <=> $true )
    & ( incident_point_and_line("2","1")
    <=> $true )
    & ( incident_point_and_line("2","2")
    <=> $true ) ) ).

fof(intersection_point,fi_functors,
    ( intersection_point("1","1") = "1"
    & intersection_point("1","2") = "1"
    & intersection_point("2","1") = "1"
    & intersection_point("2","2") = "1" ) ).

fof(line,fi_predicates,
    ( ( line("1")
    <=> $false )
    & ( line("2")
    <=> $false ) ) ).

fof(line_connecting,fi_functors,
    ( line_connecting("1","1") = "1"
    & line_connecting("1","2") = "1"
    & line_connecting("2","1") = "1"
    & line_connecting("2","2") = "1" ) ).

fof(not_orthogonal_lines,fi_predicates,
    ! [X1,X2] :
      ( not_orthogonal_lines(X1,X2)
    <=> $false ) ).

fof(orthogonal_lines,fi_predicates,
    ( ( orthogonal_lines("1","1")
    <=> $false )
    & ( orthogonal_lines("1","2")
    <=> $true )
    & ( orthogonal_lines("2","1")
    <=> $true )
    & ( orthogonal_lines("2","2")
    <=> $false ) ) ).

fof(orthogonal_through_point,fi_functors,
    ( orthogonal_through_point("1","1") = "2"
    & orthogonal_through_point("1","2") = "2"
    & orthogonal_through_point("2","1") = "1"
    & orthogonal_through_point("2","2") = "1" ) ).

fof(parallel_lines,fi_predicates,
    ( ( parallel_lines("1","1")
    <=> $true )
    & ( parallel_lines("1","2")
    <=> $false )
    & ( parallel_lines("2","1")
    <=> $false )
    & ( parallel_lines("2","2")
    <=> $true ) ) ).

fof(parallel_through_point,fi_functors,
    ( parallel_through_point("1","1") = "1"
    & parallel_through_point("1","2") = "1"
    & parallel_through_point("2","1") = "2"
    & parallel_through_point("2","2") = "2" ) ).

fof(point,fi_predicates,
    ( ( point("1")
    <=> $false )
    & ( point("2")
    <=> $false ) ) ).

fof(sK81_con_M,fi_functors,
    sK81_con_M = "2" ).

fof(sK82_con_L,fi_functors,
    sK82_con_L = "1" ).

fof(unorthogonal_lines,fi_predicates,
    ( ( unorthogonal_lines("1","1")
    <=> $true )
    & ( unorthogonal_lines("1","2")
    <=> $false )
    & ( unorthogonal_lines("2","1")
    <=> $false )
    & ( unorthogonal_lines("2","2")
    <=> $true ) ) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : GEO215+3 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.13  % Command  : paradox --no-progress --time %d --tstp --model %s
% 0.14/0.34  % Computer : n018.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit : 300
% 0.14/0.34  % WCLimit  : 600
% 0.14/0.34  % DateTime : Sat Jun 18 07:15:03 EDT 2022
% 0.14/0.34  % CPUTime  : 
% 0.14/0.35  Paradox, version 4.0, 2010-06-29.
% 0.14/0.35  +++ PROBLEM: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.35  Reading '/export/starexec/sandbox2/benchmark/theBenchmark.p' ... OK
% 0.14/0.35  Reading 'Axioms/GEO006+0.ax' ... ('/export/starexec/sandbox2/benchmark/Axioms/GEO006+0.ax') OK
% 0.14/0.36  Reading 'Axioms/GEO006+1.ax' ... ('/export/starexec/sandbox2/benchmark/Axioms/GEO006+1.ax') OK
% 0.14/0.36  Reading 'Axioms/GEO006+2.ax' ... ('/export/starexec/sandbox2/benchmark/Axioms/GEO006+2.ax') OK
% 0.14/0.36  Reading 'Axioms/GEO006+3.ax' ... ('/export/starexec/sandbox2/benchmark/Axioms/GEO006+3.ax') OK
% 0.14/0.36  Reading 'Axioms/GEO006+4.ax' ... ('/export/starexec/sandbox2/benchmark/Axioms/GEO006+4.ax') OK
% 0.14/0.37  Reading 'Axioms/GEO006+5.ax' ... ('/export/starexec/sandbox2/benchmark/Axioms/GEO006+5.ax') OK
% 0.14/0.37  Reading 'Axioms/GEO006+6.ax' ... ('/export/starexec/sandbox2/benchmark/Axioms/GEO006+6.ax') OK
% 0.14/0.37  +++ SOLVING: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.39  +++ BEGIN MODEL
% 0.20/0.39  SZS output start FiniteModel for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 0.20/0.39  +++ END MODEL
% 0.20/0.39  +++ RESULT: CounterSatisfiable
% 0.20/0.39  SZS status CounterSatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
%------------------------------------------------------------------------------