TSTP Solution File: GEO259+3 by Paradox---4.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Paradox---4.0
% Problem : GEO259+3 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:short
% Command : paradox --no-progress --time %d --tstp --model %s
% Computer : n028.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 05:47:27 EDT 2022
% Result : CounterSatisfiable 0.19s 0.39s
% Output : FiniteModel 0.19s
% Verified :
% SZS Type : FiniteModel
% Domain size : 3
% Comments :
%------------------------------------------------------------------------------
% domain size is 3
fof(domain,fi_domain,
! [X] :
( X = "1"
| X = "2"
| X = "3" ) ).
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("1","3")
<=> $false )
& ( apart_point_and_line("2","1")
<=> $false )
& ( apart_point_and_line("2","2")
<=> $false )
& ( apart_point_and_line("2","3")
<=> $false )
& ( apart_point_and_line("3","1")
<=> $false )
& ( apart_point_and_line("3","2")
<=> $false )
& ( apart_point_and_line("3","3")
<=> $false ) ) ).
fof(before_on_line,fi_predicates,
( ( before_on_line("1","1","1")
<=> $false )
& ( before_on_line("1","1","2")
<=> $true )
& ( before_on_line("1","1","3")
<=> $false )
& ( before_on_line("1","2","1")
<=> $false )
& ( before_on_line("1","2","2")
<=> $false )
& ( before_on_line("1","2","3")
<=> $true )
& ( before_on_line("1","3","1")
<=> $true )
& ( before_on_line("1","3","2")
<=> $false )
& ( before_on_line("1","3","3")
<=> $false )
& ( before_on_line("2","1","1")
<=> $false )
& ( before_on_line("2","1","2")
<=> $false )
& ( before_on_line("2","1","3")
<=> $false )
& ( before_on_line("2","2","1")
<=> $false )
& ( before_on_line("2","2","2")
<=> $false )
& ( before_on_line("2","2","3")
<=> $false )
& ( before_on_line("2","3","1")
<=> $false )
& ( before_on_line("2","3","2")
<=> $false )
& ( before_on_line("2","3","3")
<=> $false )
& ( before_on_line("3","1","1")
<=> $false )
& ( before_on_line("3","1","2")
<=> $false )
& ( before_on_line("3","1","3")
<=> $false )
& ( before_on_line("3","2","1")
<=> $false )
& ( before_on_line("3","2","2")
<=> $false )
& ( before_on_line("3","2","3")
<=> $false )
& ( before_on_line("3","3","1")
<=> $false )
& ( before_on_line("3","3","2")
<=> $false )
& ( before_on_line("3","3","3")
<=> $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","1","3")
<=> $false )
& ( between_on_line("1","1","2","1")
<=> $false )
& ( between_on_line("1","1","2","2")
<=> $false )
& ( between_on_line("1","1","2","3")
<=> $true )
& ( between_on_line("1","1","3","1")
<=> $false )
& ( between_on_line("1","1","3","2")
<=> $true )
& ( between_on_line("1","1","3","3")
<=> $false )
& ( between_on_line("1","2","1","1")
<=> $false )
& ( between_on_line("1","2","1","2")
<=> $false )
& ( between_on_line("1","2","1","3")
<=> $true )
& ( between_on_line("1","2","2","1")
<=> $false )
& ( between_on_line("1","2","2","2")
<=> $false )
& ( between_on_line("1","2","2","3")
<=> $false )
& ( between_on_line("1","2","3","1")
<=> $true )
& ( between_on_line("1","2","3","2")
<=> $false )
& ( between_on_line("1","2","3","3")
<=> $false )
& ( between_on_line("1","3","1","1")
<=> $false )
& ( between_on_line("1","3","1","2")
<=> $true )
& ( between_on_line("1","3","1","3")
<=> $false )
& ( between_on_line("1","3","2","1")
<=> $true )
& ( between_on_line("1","3","2","2")
<=> $false )
& ( between_on_line("1","3","2","3")
<=> $false )
& ( between_on_line("1","3","3","1")
<=> $false )
& ( between_on_line("1","3","3","2")
<=> $false )
& ( between_on_line("1","3","3","3")
<=> $false )
& ( between_on_line("2","1","1","1")
<=> $false )
& ( between_on_line("2","1","1","2")
<=> $false )
& ( between_on_line("2","1","1","3")
<=> $false )
& ( between_on_line("2","1","2","1")
<=> $false )
& ( between_on_line("2","1","2","2")
<=> $false )
& ( between_on_line("2","1","2","3")
<=> $false )
& ( between_on_line("2","1","3","1")
<=> $false )
& ( between_on_line("2","1","3","2")
<=> $false )
& ( between_on_line("2","1","3","3")
<=> $false )
& ( between_on_line("2","2","1","1")
<=> $false )
& ( between_on_line("2","2","1","2")
<=> $false )
& ( between_on_line("2","2","1","3")
<=> $false )
& ( between_on_line("2","2","2","1")
<=> $false )
& ( between_on_line("2","2","2","2")
<=> $false )
& ( between_on_line("2","2","2","3")
<=> $false )
& ( between_on_line("2","2","3","1")
<=> $false )
& ( between_on_line("2","2","3","2")
<=> $false )
& ( between_on_line("2","2","3","3")
<=> $false )
& ( between_on_line("2","3","1","1")
<=> $false )
& ( between_on_line("2","3","1","2")
<=> $false )
& ( between_on_line("2","3","1","3")
<=> $false )
& ( between_on_line("2","3","2","1")
<=> $false )
& ( between_on_line("2","3","2","2")
<=> $false )
& ( between_on_line("2","3","2","3")
<=> $false )
& ( between_on_line("2","3","3","1")
<=> $false )
& ( between_on_line("2","3","3","2")
<=> $false )
& ( between_on_line("2","3","3","3")
<=> $false )
& ( between_on_line("3","1","1","1")
<=> $false )
& ( between_on_line("3","1","1","2")
<=> $false )
& ( between_on_line("3","1","1","3")
<=> $false )
& ( between_on_line("3","1","2","1")
<=> $false )
& ( between_on_line("3","1","2","2")
<=> $false )
& ( between_on_line("3","1","2","3")
<=> $false )
& ( between_on_line("3","1","3","1")
<=> $false )
& ( between_on_line("3","1","3","2")
<=> $false )
& ( between_on_line("3","1","3","3")
<=> $false )
& ( between_on_line("3","2","1","1")
<=> $false )
& ( between_on_line("3","2","1","2")
<=> $false )
& ( between_on_line("3","2","1","3")
<=> $false )
& ( between_on_line("3","2","2","1")
<=> $false )
& ( between_on_line("3","2","2","2")
<=> $false )
& ( between_on_line("3","2","2","3")
<=> $false )
& ( between_on_line("3","2","3","1")
<=> $false )
& ( between_on_line("3","2","3","2")
<=> $false )
& ( between_on_line("3","2","3","3")
<=> $false )
& ( between_on_line("3","3","1","1")
<=> $false )
& ( between_on_line("3","3","1","2")
<=> $false )
& ( between_on_line("3","3","1","3")
<=> $false )
& ( between_on_line("3","3","2","1")
<=> $false )
& ( between_on_line("3","3","2","2")
<=> $false )
& ( between_on_line("3","3","2","3")
<=> $false )
& ( between_on_line("3","3","3","1")
<=> $false )
& ( between_on_line("3","3","3","2")
<=> $false )
& ( between_on_line("3","3","3","3")
<=> $false ) ) ).
fof(convergent_lines,fi_predicates,
( ( convergent_lines("1","1")
<=> $false )
& ( convergent_lines("1","2")
<=> $false )
& ( convergent_lines("1","3")
<=> $false )
& ( convergent_lines("2","1")
<=> $false )
& ( convergent_lines("2","2")
<=> $false )
& ( convergent_lines("2","3")
<=> $false )
& ( convergent_lines("3","1")
<=> $false )
& ( convergent_lines("3","2")
<=> $false )
& ( convergent_lines("3","3")
<=> $false ) ) ).
fof(distinct_lines,fi_predicates,
( ( distinct_lines("1","1")
<=> $false )
& ( distinct_lines("1","2")
<=> $false )
& ( distinct_lines("1","3")
<=> $false )
& ( distinct_lines("2","1")
<=> $false )
& ( distinct_lines("2","2")
<=> $false )
& ( distinct_lines("2","3")
<=> $false )
& ( distinct_lines("3","1")
<=> $false )
& ( distinct_lines("3","2")
<=> $false )
& ( distinct_lines("3","3")
<=> $false ) ) ).
fof(distinct_points,fi_predicates,
( ( distinct_points("1","1")
<=> $false )
& ( distinct_points("1","2")
<=> $true )
& ( distinct_points("1","3")
<=> $true )
& ( distinct_points("2","1")
<=> $true )
& ( distinct_points("2","2")
<=> $false )
& ( distinct_points("2","3")
<=> $true )
& ( distinct_points("3","1")
<=> $true )
& ( distinct_points("3","2")
<=> $true )
& ( distinct_points("3","3")
<=> $false ) ) ).
fof(divides_points,fi_predicates,
( ( divides_points("1","1","1")
<=> $false )
& ( divides_points("1","1","2")
<=> $false )
& ( divides_points("1","1","3")
<=> $false )
& ( divides_points("1","2","1")
<=> $false )
& ( divides_points("1","2","2")
<=> $false )
& ( divides_points("1","2","3")
<=> $false )
& ( divides_points("1","3","1")
<=> $false )
& ( divides_points("1","3","2")
<=> $false )
& ( divides_points("1","3","3")
<=> $false )
& ( divides_points("2","1","1")
<=> $false )
& ( divides_points("2","1","2")
<=> $false )
& ( divides_points("2","1","3")
<=> $false )
& ( divides_points("2","2","1")
<=> $false )
& ( divides_points("2","2","2")
<=> $false )
& ( divides_points("2","2","3")
<=> $false )
& ( divides_points("2","3","1")
<=> $false )
& ( divides_points("2","3","2")
<=> $false )
& ( divides_points("2","3","3")
<=> $false )
& ( divides_points("3","1","1")
<=> $false )
& ( divides_points("3","1","2")
<=> $false )
& ( divides_points("3","1","3")
<=> $false )
& ( divides_points("3","2","1")
<=> $false )
& ( divides_points("3","2","2")
<=> $false )
& ( divides_points("3","2","3")
<=> $false )
& ( divides_points("3","3","1")
<=> $false )
& ( divides_points("3","3","2")
<=> $false )
& ( divides_points("3","3","3")
<=> $false ) ) ).
fof(equally_directed_lines,fi_predicates,
( ( equally_directed_lines("1","1")
<=> $true )
& ( equally_directed_lines("1","2")
<=> $false )
& ( equally_directed_lines("1","3")
<=> $false )
& ( equally_directed_lines("2","1")
<=> $false )
& ( equally_directed_lines("2","2")
<=> $true )
& ( equally_directed_lines("2","3")
<=> $true )
& ( equally_directed_lines("3","1")
<=> $false )
& ( equally_directed_lines("3","2")
<=> $true )
& ( equally_directed_lines("3","3")
<=> $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("1","3")
<=> $true )
& ( equally_directed_opposite_lines("2","1")
<=> $true )
& ( equally_directed_opposite_lines("2","2")
<=> $false )
& ( equally_directed_opposite_lines("2","3")
<=> $false )
& ( equally_directed_opposite_lines("3","1")
<=> $true )
& ( equally_directed_opposite_lines("3","2")
<=> $false )
& ( equally_directed_opposite_lines("3","3")
<=> $false ) ) ).
fof(incident_point_and_line,fi_predicates,
( ( incident_point_and_line("1","1")
<=> $true )
& ( incident_point_and_line("1","2")
<=> $false )
& ( incident_point_and_line("1","3")
<=> $false )
& ( incident_point_and_line("2","1")
<=> $true )
& ( incident_point_and_line("2","2")
<=> $false )
& ( incident_point_and_line("2","3")
<=> $false )
& ( incident_point_and_line("3","1")
<=> $true )
& ( incident_point_and_line("3","2")
<=> $false )
& ( incident_point_and_line("3","3")
<=> $false ) ) ).
fof(intersection_point,fi_functors,
( intersection_point("1","1") = "1"
& intersection_point("1","2") = "1"
& intersection_point("1","3") = "3"
& intersection_point("2","1") = "1"
& intersection_point("2","2") = "1"
& intersection_point("2","3") = "3"
& intersection_point("3","1") = "3"
& intersection_point("3","2") = "3"
& intersection_point("3","3") = "3" ) ).
fof(left_apart_point,fi_predicates,
( ( left_apart_point("1","1")
<=> $false )
& ( left_apart_point("1","2")
<=> $false )
& ( left_apart_point("1","3")
<=> $false )
& ( left_apart_point("2","1")
<=> $false )
& ( left_apart_point("2","2")
<=> $false )
& ( left_apart_point("2","3")
<=> $false )
& ( left_apart_point("3","1")
<=> $false )
& ( left_apart_point("3","2")
<=> $false )
& ( left_apart_point("3","3")
<=> $false ) ) ).
fof(left_convergent_lines,fi_predicates,
( ( left_convergent_lines("1","1")
<=> $false )
& ( left_convergent_lines("1","2")
<=> $false )
& ( left_convergent_lines("1","3")
<=> $false )
& ( left_convergent_lines("2","1")
<=> $false )
& ( left_convergent_lines("2","2")
<=> $false )
& ( left_convergent_lines("2","3")
<=> $false )
& ( left_convergent_lines("3","1")
<=> $false )
& ( left_convergent_lines("3","2")
<=> $false )
& ( left_convergent_lines("3","3")
<=> $false ) ) ).
fof(line,fi_predicates,
( ( line("1")
<=> $false )
& ( line("2")
<=> $false )
& ( line("3")
<=> $false ) ) ).
fof(line_connecting,fi_functors,
( line_connecting("1","1") = "2"
& line_connecting("1","2") = "1"
& line_connecting("1","3") = "2"
& line_connecting("2","1") = "2"
& line_connecting("2","2") = "1"
& line_connecting("2","3") = "1"
& line_connecting("3","1") = "1"
& line_connecting("3","2") = "2"
& line_connecting("3","3") = "1" ) ).
fof(parallel_through_point,fi_functors,
( parallel_through_point("1","1") = "1"
& parallel_through_point("1","2") = "1"
& parallel_through_point("1","3") = "1"
& parallel_through_point("2","1") = "2"
& parallel_through_point("2","2") = "2"
& parallel_through_point("2","3") = "2"
& parallel_through_point("3","1") = "2"
& parallel_through_point("3","2") = "2"
& parallel_through_point("3","3") = "2" ) ).
fof(point,fi_predicates,
( ( point("1")
<=> $false )
& ( point("2")
<=> $false )
& ( point("3")
<=> $false ) ) ).
fof(reverse_line,fi_functors,
( reverse_line("1") = "2"
& reverse_line("2") = "1"
& reverse_line("3") = "1" ) ).
fof(right_apart_point,fi_predicates,
( ( right_apart_point("1","1")
<=> $false )
& ( right_apart_point("1","2")
<=> $false )
& ( right_apart_point("1","3")
<=> $false )
& ( right_apart_point("2","1")
<=> $false )
& ( right_apart_point("2","2")
<=> $false )
& ( right_apart_point("2","3")
<=> $false )
& ( right_apart_point("3","1")
<=> $false )
& ( right_apart_point("3","2")
<=> $false )
& ( right_apart_point("3","3")
<=> $false ) ) ).
fof(right_convergent_lines,fi_predicates,
( ( right_convergent_lines("1","1")
<=> $false )
& ( right_convergent_lines("1","2")
<=> $false )
& ( right_convergent_lines("1","3")
<=> $false )
& ( right_convergent_lines("2","1")
<=> $false )
& ( right_convergent_lines("2","2")
<=> $false )
& ( right_convergent_lines("2","3")
<=> $false )
& ( right_convergent_lines("3","1")
<=> $false )
& ( right_convergent_lines("3","2")
<=> $false )
& ( right_convergent_lines("3","3")
<=> $false ) ) ).
fof(sK85_con_C,fi_functors,
sK85_con_C = "1" ).
fof(sK86_con_B,fi_functors,
sK86_con_B = "3" ).
fof(sK87_con_A,fi_functors,
sK87_con_A = "2" ).
fof(sK88_con_L,fi_functors,
sK88_con_L = "1" ).
fof(unequally_directed_lines,fi_predicates,
( ( unequally_directed_lines("1","1")
<=> $false )
& ( unequally_directed_lines("1","2")
<=> $true )
& ( unequally_directed_lines("1","3")
<=> $true )
& ( unequally_directed_lines("2","1")
<=> $true )
& ( unequally_directed_lines("2","2")
<=> $false )
& ( unequally_directed_lines("2","3")
<=> $false )
& ( unequally_directed_lines("3","1")
<=> $true )
& ( unequally_directed_lines("3","2")
<=> $false )
& ( unequally_directed_lines("3","3")
<=> $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("1","3")
<=> $false )
& ( unequally_directed_opposite_lines("2","1")
<=> $false )
& ( unequally_directed_opposite_lines("2","2")
<=> $true )
& ( unequally_directed_opposite_lines("2","3")
<=> $true )
& ( unequally_directed_opposite_lines("3","1")
<=> $false )
& ( unequally_directed_opposite_lines("3","2")
<=> $true )
& ( unequally_directed_opposite_lines("3","3")
<=> $true ) ) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : GEO259+3 : TPTP v8.1.0. Released v4.0.0.
% 0.06/0.12 % Command : paradox --no-progress --time %d --tstp --model %s
% 0.12/0.34 % Computer : n028.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 09:43:44 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.12/0.34 Paradox, version 4.0, 2010-06-29.
% 0.12/0.34 +++ PROBLEM: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.34 Reading '/export/starexec/sandbox2/benchmark/theBenchmark.p' ... OK
% 0.12/0.34 Reading 'Axioms/GEO009+0.ax' ... ('/export/starexec/sandbox2/benchmark/Axioms/GEO009+0.ax') OK
% 0.12/0.36 +++ SOLVING: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.39 +++ BEGIN MODEL
% 0.19/0.39 SZS output start FiniteModel for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 0.19/0.39 +++ END MODEL
% 0.19/0.39 +++ RESULT: CounterSatisfiable
% 0.19/0.39 SZS status CounterSatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
%------------------------------------------------------------------------------