%------------------------------------------------------------------------------
% File : Mace4---2026-6A
% Problem : GEO355+1 : TPTP v9.3.1. Released v6.4.0.
% Transfm : none
% Format : tptp:raw
% Command : mace4 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n013.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sun Sep 27 07:16:22 AM UTC 2026
% Result : Satisfiable 0.15s 0.39s
% Output : FiniteModel 0.15s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
fof(interp_domain,interpretation-domains,
! [X] :
( X = "d1"
| X = "d0" ) ).
fof(interp_functions,interpretation-mappings,
( parallel_through_point("d1","d1") = "d1"
& parallel_through_point("d1","d0") = "d1"
& parallel_through_point("d0","d1") = "d0"
& parallel_through_point("d0","d0") = "d0"
& line_connecting("d1","d1") = "d0"
& line_connecting("d1","d0") = "d0"
& line_connecting("d0","d1") = "d0"
& line_connecting("d0","d0") = "d0"
& intersection_point("d1","d1") = "d0"
& intersection_point("d1","d0") = "d0"
& intersection_point("d0","d1") = "d0"
& intersection_point("d0","d0") = "d0"
& reverse_line("d1") = "d0"
& reverse_line("d0") = "d1" ) ).
fof(interp_relations,interpretation-mappings,
( ~ between_on_line("d1","d1","d1","d1")
& ~ between_on_line("d1","d1","d1","d0")
& ~ between_on_line("d1","d1","d0","d1")
& ~ between_on_line("d1","d1","d0","d0")
& ~ between_on_line("d1","d0","d1","d1")
& ~ between_on_line("d1","d0","d1","d0")
& ~ between_on_line("d1","d0","d0","d1")
& ~ between_on_line("d1","d0","d0","d0")
& ~ between_on_line("d0","d1","d1","d1")
& ~ between_on_line("d0","d1","d1","d0")
& ~ between_on_line("d0","d1","d0","d1")
& ~ between_on_line("d0","d1","d0","d0")
& ~ between_on_line("d0","d0","d1","d1")
& ~ between_on_line("d0","d0","d1","d0")
& ~ between_on_line("d0","d0","d0","d1")
& ~ between_on_line("d0","d0","d0","d0")
& ~ divides_points("d1","d1","d1")
& ~ divides_points("d1","d1","d0")
& ~ divides_points("d1","d0","d1")
& ~ divides_points("d1","d0","d0")
& ~ divides_points("d0","d1","d1")
& ~ divides_points("d0","d1","d0")
& ~ divides_points("d0","d0","d1")
& ~ divides_points("d0","d0","d0")
& ~ before_on_line("d1","d1","d1")
& ~ before_on_line("d1","d1","d0")
& ~ before_on_line("d1","d0","d1")
& ~ before_on_line("d1","d0","d0")
& ~ before_on_line("d0","d1","d1")
& ~ before_on_line("d0","d1","d0")
& ~ before_on_line("d0","d0","d1")
& ~ before_on_line("d0","d0","d0")
& unequally_directed_opposite_lines("d1","d1")
& ~ unequally_directed_opposite_lines("d1","d0")
& ~ unequally_directed_opposite_lines("d0","d1")
& unequally_directed_opposite_lines("d0","d0")
& ~ unequally_directed_lines("d1","d1")
& unequally_directed_lines("d1","d0")
& unequally_directed_lines("d0","d1")
& ~ unequally_directed_lines("d0","d0")
& ~ right_convergent_lines("d1","d1")
& ~ right_convergent_lines("d1","d0")
& ~ right_convergent_lines("d0","d1")
& ~ right_convergent_lines("d0","d0")
& ~ right_apart_point("d1","d1")
& ~ right_apart_point("d1","d0")
& ~ right_apart_point("d0","d1")
& ~ right_apart_point("d0","d0")
& ~ left_convergent_lines("d1","d1")
& ~ left_convergent_lines("d1","d0")
& ~ left_convergent_lines("d0","d1")
& ~ left_convergent_lines("d0","d0")
& ~ left_apart_point("d1","d1")
& ~ left_apart_point("d1","d0")
& ~ left_apart_point("d0","d1")
& ~ left_apart_point("d0","d0")
& ~ incident_point_and_line("d1","d1")
& ~ incident_point_and_line("d1","d0")
& ~ incident_point_and_line("d0","d1")
& ~ incident_point_and_line("d0","d0")
& ~ equally_directed_opposite_lines("d1","d1")
& equally_directed_opposite_lines("d1","d0")
& equally_directed_opposite_lines("d0","d1")
& ~ equally_directed_opposite_lines("d0","d0")
& equally_directed_lines("d1","d1")
& ~ equally_directed_lines("d1","d0")
& ~ equally_directed_lines("d0","d1")
& equally_directed_lines("d0","d0")
& ~ distinct_points("d1","d1")
& ~ distinct_points("d1","d0")
& ~ distinct_points("d0","d1")
& ~ distinct_points("d0","d0")
& ~ distinct_lines("d1","d1")
& ~ distinct_lines("d1","d0")
& ~ distinct_lines("d0","d1")
& ~ distinct_lines("d0","d0")
& ~ convergent_lines("d1","d1")
& ~ convergent_lines("d1","d0")
& ~ convergent_lines("d0","d1")
& ~ convergent_lines("d0","d0")
& ~ apart_point_and_line("d1","d1")
& ~ apart_point_and_line("d1","d0")
& ~ apart_point_and_line("d0","d1")
& ~ apart_point_and_line("d0","d0")
& ~ point("d1")
& ~ point("d0")
& ~ line("d1")
& ~ line("d0") ) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO355+1 : TPTP v9.3.1. Released v6.4.0.
% 0.00/0.04 % Command : mace4 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.37 % Computer : n013.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Fri Sep 25 13:22:36 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.15/0.37 % Mace4 (64) version 2026-6A, July 2026, CASC-J13.
% 0.15/0.37 % Process 517090 was started by sandbox on n013,
% 0.15/0.37 % Fri Sep 25 13:22:36 2026
% 0.15/0.37 % The command was "/export/starexec/sandbox/solver/bin/mace4 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p".
% 0.15/0.39
% 0.15/0.39 % SZS status Satisfiable for theBenchmark
% 0.15/0.39 % SZS output start FiniteModel for theBenchmark
% See solution above
%------------------------------------------------------------------------------