TSTP Solution File: GEO355+1 by Paradox---4.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Paradox---4.0
% Problem  : GEO355+1 : TPTP v8.1.0. Released v6.4.0.
% Transfm  : none
% Format   : tptp:short
% Command  : paradox --no-progress --time %d --tstp --model %s

% Computer : n027.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 05:47:49 EDT 2022

% Result   : Satisfiable 0.20s 0.41s
% 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(before_on_line,fi_predicates,
    ( ( before_on_line("1","1","1")
    <=> $false )
    & ( before_on_line("1","1","2")
    <=> $false )
    & ( before_on_line("1","2","1")
    <=> $false )
    & ( before_on_line("1","2","2")
    <=> $false )
    & ( before_on_line("2","1","1")
    <=> $false )
    & ( before_on_line("2","1","2")
    <=> $false )
    & ( before_on_line("2","2","1")
    <=> $false )
    & ( before_on_line("2","2","2")
    <=> $false ) ) ).

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

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

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

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

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

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

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

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

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(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(reverse_line,fi_functors,
    ( reverse_line("1") = "2"
    & reverse_line("2") = "1" ) ).

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

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

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

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

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13  % Problem  : GEO355+1 : TPTP v8.1.0. Released v6.4.0.
% 0.03/0.13  % Command  : paradox --no-progress --time %d --tstp --model %s
% 0.14/0.34  % Computer : n027.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 : Fri Jun 17 22:09:37 EDT 2022
% 0.14/0.35  % 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/GEO009+0.ax' ... ('/export/starexec/sandbox2/benchmark/Axioms/GEO009+0.ax') OK
% 0.20/0.38  +++ SOLVING: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.41  +++ BEGIN MODEL
% 0.20/0.41  SZS output start FiniteModel for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 0.20/0.41  +++ END MODEL
% 0.20/0.41  +++ RESULT: Satisfiable
% 0.20/0.41  SZS status Satisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
%------------------------------------------------------------------------------