%------------------------------------------------------------------------------
% File : FMB4J---0.1
% Problem : GEO078-6 : TPTP v9.3.1. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : run_fmb4j /export/starexec/sandbox/benchmark/theBenchmark.p 300
% Computer : n008.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 : Fri Sep 25 01:18:35 PM UTC 2026
% Result : Satisfiable 16.34s 14.00s
% Output : FiniteModel 17.23s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
fof(domain,interpretation-domains,
! [X] :
( X = "d3"
| X = "d2"
| X = "d1"
| X = "d0" ) ).
fof(mappings,interpretation-mappings,
( a_point_on_plane("d0") = "d2"
& a_point_on_plane("d1") = "d2"
& a_point_on_plane("d3") = "d3"
& a_point_on_plane("d2") = "d3"
& point_1_on_line("d1") = "d3"
& point_1_on_line("d0") = "d2"
& point_1_on_line("d2") = "d0"
& point_1_on_line("d3") = "d0"
& a_plane = "d0"
& common_point_on_planes("d3","d1","d3") = "d0"
& common_point_on_planes("d1","d2","d2") = "d0"
& common_point_on_planes("d2","d1","d2") = "d0"
& common_point_on_planes("d0","d1","d0") = "d0"
& common_point_on_planes("d1","d3","d1") = "d2"
& common_point_on_planes("d0","d3","d0") = "d2"
& common_point_on_planes("d1","d3","d3") = "d0"
& common_point_on_planes("d3","d0","d0") = "d2"
& common_point_on_planes("d1","d1","d0") = "d1"
& common_point_on_planes("d3","d1","d2") = "d0"
& common_point_on_planes("d3","d3","d1") = "d1"
& common_point_on_planes("d2","d0","d3") = "d1"
& common_point_on_planes("d2","d0","d1") = "d3"
& common_point_on_planes("d1","d3","d2") = "d0"
& common_point_on_planes("d3","d1","d0") = "d2"
& common_point_on_planes("d0","d2","d1") = "d3"
& common_point_on_planes("d1","d3","d0") = "d2"
& common_point_on_planes("d2","d0","d2") = "d0"
& common_point_on_planes("d0","d2","d3") = "d1"
& common_point_on_planes("d0","d2","d2") = "d0"
& common_point_on_planes("d1","d1","d1") = "d1"
& common_point_on_planes("d1","d0","d0") = "d1"
& common_point_on_planes("d0","d0","d0") = "d0"
& common_point_on_planes("d2","d3","d2") = "d0"
& common_point_on_planes("d3","d2","d2") = "d0"
& common_point_on_planes("d0","d2","d0") = "d1"
& common_point_on_planes("d2","d2","d3") = "d0"
& common_point_on_planes("d1","d1","d3") = "d0"
& common_point_on_planes("d0","d0","d3") = "d0"
& common_point_on_planes("d2","d2","d0") = "d3"
& common_point_on_planes("d2","d0","d0") = "d1"
& common_point_on_planes("d3","d3","d3") = "d0"
& common_point_on_planes("d0","d0","d1") = "d2"
& common_point_on_planes("d3","d0","d3") = "d2"
& common_point_on_planes("d0","d0","d2") = "d0"
& common_point_on_planes("d3","d1","d1") = "d1"
& common_point_on_planes("d1","d2","d3") = "d2"
& common_point_on_planes("d3","d2","d3") = "d0"
& common_point_on_planes("d3","d0","d2") = "d3"
& common_point_on_planes("d1","d0","d3") = "d0"
& common_point_on_planes("d3","d2","d1") = "d2"
& common_point_on_planes("d2","d1","d0") = "d1"
& common_point_on_planes("d2","d3","d3") = "d0"
& common_point_on_planes("d3","d3","d2") = "d0"
& common_point_on_planes("d1","d0","d1") = "d2"
& common_point_on_planes("d0","d3","d3") = "d2"
& common_point_on_planes("d1","d1","d2") = "d0"
& common_point_on_planes("d2","d3","d0") = "d3"
& common_point_on_planes("d1","d2","d1") = "d0"
& common_point_on_planes("d0","d3","d1") = "d0"
& common_point_on_planes("d2","d2","d1") = "d3"
& common_point_on_planes("d2","d1","d1") = "d0"
& common_point_on_planes("d3","d0","d1") = "d0"
& common_point_on_planes("d2","d1","d3") = "d2"
& common_point_on_planes("d0","d3","d2") = "d3"
& common_point_on_planes("d0","d1","d3") = "d0"
& common_point_on_planes("d2","d3","d1") = "d2"
& common_point_on_planes("d2","d2","d2") = "d0"
& common_point_on_planes("d3","d3","d0") = "d2"
& common_point_on_planes("d0","d1","d2") = "d1"
& common_point_on_planes("d0","d1","d1") = "d2"
& common_point_on_planes("d3","d2","d0") = "d3"
& common_point_on_planes("d1","d0","d2") = "d1"
& common_point_on_planes("d1","d2","d0") = "d1"
& point_2_on_line("d2") = "d1"
& point_2_on_line("d3") = "d2"
& point_2_on_line("d0") = "d1"
& point_2_on_line("d1") = "d0"
& a_point_not_on_plane("d3") = "d1"
& a_point_not_on_plane("d1") = "d3"
& a_point_not_on_plane("d2") = "d2"
& a_point_not_on_plane("d0") = "d0"
& a_point_not_on_line("d2") = "d2"
& a_point_not_on_line("d0") = "d0"
& a_point_not_on_line("d1") = "d2"
& a_point_not_on_line("d3") = "d1"
& line_through_3_points("d3","d0","d1") = "d0"
& line_through_3_points("d2","d1","d2") = "d3"
& line_through_3_points("d0","d1","d0") = "d3"
& line_through_3_points("d3","d3","d2") = "d0"
& line_through_3_points("d0","d2","d0") = "d0"
& line_through_3_points("d3","d2","d3") = "d0"
& line_through_3_points("d1","d1","d2") = "d0"
& line_through_3_points("d2","d2","d2") = "d0"
& line_through_3_points("d0","d1","d1") = "d2"
& line_through_3_points("d2","d3","d3") = "d0"
& line_through_3_points("d1","d3","d1") = "d1"
& line_through_3_points("d0","d0","d3") = "d1"
& line_through_3_points("d1","d2","d1") = "d0"
& line_through_3_points("d2","d3","d2") = "d0"
& line_through_3_points("d1","d0","d1") = "d3"
& line_through_3_points("d1","d1","d3") = "d0"
& line_through_3_points("d2","d2","d3") = "d0"
& line_through_3_points("d3","d2","d2") = "d0"
& line_through_3_points("d1","d2","d0") = "d0"
& line_through_3_points("d1","d0","d2") = "d0"
& line_through_3_points("d0","d0","d2") = "d1"
& line_through_3_points("d3","d1","d0") = "d1"
& line_through_3_points("d2","d0","d1") = "d0"
& line_through_3_points("d3","d3","d0") = "d3"
& line_through_3_points("d2","d0","d0") = "d1"
& line_through_3_points("d0","d2","d3") = "d2"
& line_through_3_points("d3","d0","d0") = "d0"
& line_through_3_points("d3","d3","d3") = "d0"
& line_through_3_points("d0","d1","d2") = "d3"
& line_through_3_points("d2","d1","d0") = "d3"
& line_through_3_points("d3","d2","d1") = "d0"
& line_through_3_points("d1","d3","d2") = "d0"
& line_through_3_points("d3","d1","d2") = "d0"
& line_through_3_points("d0","d3","d0") = "d3"
& line_through_3_points("d0","d2","d1") = "d3"
& line_through_3_points("d2","d0","d2") = "d0"
& line_through_3_points("d1","d0","d3") = "d2"
& line_through_3_points("d3","d0","d3") = "d0"
& line_through_3_points("d0","d3","d3") = "d0"
& line_through_3_points("d3","d1","d1") = "d3"
& line_through_3_points("d3","d0","d2") = "d1"
& line_through_3_points("d2","d1","d3") = "d0"
& line_through_3_points("d1","d2","d3") = "d0"
& line_through_3_points("d0","d3","d2") = "d1"
& line_through_3_points("d2","d3","d1") = "d0"
& line_through_3_points("d0","d2","d2") = "d0"
& line_through_3_points("d0","d1","d3") = "d2"
& line_through_3_points("d1","d1","d1") = "d1"
& line_through_3_points("d1","d0","d0") = "d1"
& line_through_3_points("d0","d0","d0") = "d0"
& line_through_3_points("d0","d3","d1") = "d3"
& line_through_3_points("d3","d2","d0") = "d0"
& line_through_3_points("d2","d1","d1") = "d3"
& line_through_3_points("d1","d1","d0") = "d1"
& line_through_3_points("d2","d2","d0") = "d1"
& line_through_3_points("d1","d2","d2") = "d0"
& line_through_3_points("d3","d1","d3") = "d0"
& line_through_3_points("d1","d3","d0") = "d3"
& line_through_3_points("d1","d3","d3") = "d0"
& line_through_3_points("d2","d3","d0") = "d0"
& line_through_3_points("d0","d0","d1") = "d0"
& line_through_3_points("d3","d3","d1") = "d0"
& line_through_3_points("d2","d2","d1") = "d0"
& line_through_3_points("d2","d0","d3") = "d0"
& plane_for_points("d2","d1","d2") = "d0"
& plane_for_points("d1","d2","d2") = "d0"
& plane_for_points("d2","d2","d1") = "d0"
& plane_for_points("d1","d1","d1") = "d0"
& plane_for_points("d2","d0","d2") = "d1"
& plane_for_points("d2","d2","d0") = "d1"
& plane_for_points("d0","d1","d0") = "d0"
& plane_for_points("d3","d1","d3") = "d0"
& plane_for_points("d0","d0","d1") = "d0"
& plane_for_points("d1","d3","d3") = "d0"
& plane_for_points("d0","d3","d3") = "d1"
& plane_for_points("d3","d3","d1") = "d0"
& plane_for_points("d1","d0","d0") = "d0"
& plane_for_points("d3","d0","d3") = "d0"
& plane_for_points("d3","d1","d2") = "d0"
& plane_for_points("d2","d3","d1") = "d0"
& plane_for_points("d0","d1","d1") = "d0"
& plane_for_points("d3","d3","d0") = "d0"
& plane_for_points("d2","d1","d3") = "d0"
& plane_for_points("d3","d0","d1") = "d2"
& plane_for_points("d1","d0","d3") = "d2"
& plane_for_points("d1","d3","d0") = "d2"
& plane_for_points("d1","d1","d0") = "d0"
& plane_for_points("d1","d2","d3") = "d0"
& plane_for_points("d0","d1","d3") = "d2"
& plane_for_points("d1","d3","d2") = "d0"
& plane_for_points("d0","d2","d2") = "d0"
& plane_for_points("d3","d2","d1") = "d0"
& plane_for_points("d1","d0","d1") = "d0"
& plane_for_points("d0","d3","d1") = "d2"
& plane_for_points("d0","d0","d0") = "d0"
& plane_for_points("d3","d1","d0") = "d2"
& plane_for_points("d3","d3","d3") = "d0"
& plane_for_points("d1","d1","d3") = "d0"
& plane_for_points("d0","d2","d0") = "d1"
& plane_for_points("d1","d3","d1") = "d0"
& plane_for_points("d3","d1","d1") = "d0"
& plane_for_points("d2","d3","d2") = "d0"
& plane_for_points("d3","d2","d2") = "d0"
& plane_for_points("d0","d0","d3") = "d0"
& plane_for_points("d2","d2","d3") = "d0"
& plane_for_points("d0","d3","d0") = "d0"
& plane_for_points("d0","d0","d2") = "d1"
& plane_for_points("d3","d0","d0") = "d0"
& plane_for_points("d0","d2","d1") = "d1"
& plane_for_points("d0","d1","d2") = "d1"
& plane_for_points("d3","d2","d3") = "d0"
& plane_for_points("d2","d1","d1") = "d0"
& plane_for_points("d2","d0","d1") = "d1"
& plane_for_points("d0","d3","d2") = "d3"
& plane_for_points("d3","d0","d2") = "d3"
& plane_for_points("d1","d0","d2") = "d1"
& plane_for_points("d1","d2","d0") = "d1"
& plane_for_points("d2","d3","d3") = "d0"
& plane_for_points("d1","d1","d2") = "d0"
& plane_for_points("d2","d0","d3") = "d3"
& plane_for_points("d2","d2","d2") = "d0"
& plane_for_points("d3","d2","d0") = "d3"
& plane_for_points("d3","d3","d2") = "d0"
& plane_for_points("d2","d3","d0") = "d3"
& plane_for_points("d0","d2","d3") = "d3"
& plane_for_points("d1","d2","d1") = "d0"
& plane_for_points("d2","d0","d0") = "d0"
& plane_for_points("d2","d1","d0") = "d1"
& line_from_to("d1","d3") = "d0"
& line_from_to("d3","d1") = "d0"
& line_from_to("d3","d0") = "d1"
& line_from_to("d0","d3") = "d1"
& line_from_to("d0","d0") = "d2"
& line_from_to("d1","d2") = "d0"
& line_from_to("d0","d1") = "d2"
& line_from_to("d2","d1") = "d0"
& line_from_to("d1","d0") = "d2"
& line_from_to("d1","d1") = "d0"
& line_from_to("d3","d3") = "d0"
& line_from_to("d3","d2") = "d0"
& line_from_to("d2","d3") = "d0"
& line_from_to("d2","d2") = "d1"
& line_from_to("d0","d2") = "d3"
& line_from_to("d2","d0") = "d3"
& at_least_one_line = "d0" ) ).
fof(predicate_mappings,interpretation-mappings,
( line("d2")
& line("d3")
& line("d0")
& line("d1")
& plane("d0")
& plane("d1")
& plane("d2")
& plane("d3")
& point_on_plane("d3","d3")
& ~ point_on_plane("d2","d2")
& point_on_plane("d1","d1")
& ~ point_on_plane("d0","d0")
& point_on_plane("d2","d3")
& point_on_plane("d3","d2")
& point_on_plane("d0","d1")
& point_on_plane("d1","d0")
& ~ point_on_plane("d1","d3")
& point_on_plane("d0","d2")
& ~ point_on_plane("d3","d1")
& point_on_plane("d2","d0")
& point_on_plane("d0","d3")
& point_on_plane("d1","d2")
& point_on_plane("d2","d1")
& point_on_plane("d3","d0")
& ~ point_on_line("d3","d3")
& ~ point_on_line("d2","d2")
& ~ point_on_line("d1","d1")
& ~ point_on_line("d0","d0")
& point_on_line("d2","d3")
& ~ point_on_line("d3","d2")
& point_on_line("d0","d1")
& point_on_line("d1","d0")
& ~ point_on_line("d1","d3")
& point_on_line("d0","d2")
& point_on_line("d3","d1")
& point_on_line("d2","d0")
& point_on_line("d0","d3")
& point_on_line("d1","d2")
& ~ point_on_line("d2","d1")
& point_on_line("d3","d0")
& point("d2")
& point("d3")
& point("d0")
& point("d1")
& ~ collinear("d1","d2","d2")
& ~ collinear("d3","d0","d2")
& collinear("d3","d3","d1")
& ~ collinear("d0","d2","d3")
& ~ collinear("d2","d2","d1")
& ~ collinear("d2","d0","d3")
& collinear("d3","d1","d3")
& collinear("d2","d1","d2")
& collinear("d1","d1","d1")
& collinear("d0","d0","d1")
& ~ collinear("d0","d3","d2")
& ~ collinear("d2","d3","d0")
& collinear("d0","d1","d0")
& collinear("d1","d3","d3")
& collinear("d1","d0","d0")
& ~ collinear("d3","d2","d0")
& ~ collinear("d2","d0","d2")
& collinear("d1","d2","d3")
& collinear("d2","d1","d3")
& collinear("d3","d2","d1")
& collinear("d0","d1","d1")
& collinear("d1","d0","d1")
& collinear("d1","d3","d2")
& collinear("d0","d3","d3")
& collinear("d3","d0","d3")
& collinear("d3","d3","d0")
& collinear("d0","d2","d2")
& collinear("d3","d1","d2")
& ~ collinear("d2","d2","d0")
& collinear("d1","d1","d0")
& collinear("d0","d0","d0")
& collinear("d2","d3","d1")
& ~ collinear("d3","d2","d2")
& ~ collinear("d1","d0","d2")
& ~ collinear("d2","d3","d2")
& collinear("d3","d3","d3")
& ~ collinear("d2","d2","d3")
& collinear("d0","d0","d3")
& collinear("d1","d3","d1")
& ~ collinear("d0","d2","d1")
& collinear("d1","d1","d3")
& collinear("d3","d1","d1")
& ~ collinear("d2","d0","d1")
& ~ collinear("d0","d1","d2")
& collinear("d0","d3","d0")
& ~ collinear("d2","d1","d0")
& collinear("d3","d0","d0")
& ~ collinear("d1","d2","d0")
& collinear("d0","d0","d2")
& ~ collinear("d0","d3","d1")
& ~ collinear("d0","d1","d3")
& ~ collinear("d1","d2","d1")
& ~ collinear("d3","d2","d3")
& ~ collinear("d3","d3","d2")
& ~ collinear("d1","d0","d3")
& ~ collinear("d2","d1","d1")
& collinear("d1","d1","d2")
& ~ collinear("d2","d3","d3")
& ~ collinear("d2","d2","d2")
& ~ collinear("d3","d0","d1")
& ~ collinear("d1","d3","d0")
& ~ collinear("d0","d2","d0")
& ~ collinear("d2","d0","d0")
& ~ collinear("d3","d1","d0") ) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : GEO078-6 : TPTP v9.3.1. Released v2.7.0.
% 0.00/0.07 % Command : run_fmb4j /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.16/5.43 % Computer : n008.cluster.edu
% 0.16/5.43 % Model : x86_64 x86_64
% 0.16/5.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/5.43 % Memory : 8046.5625MB
% 0.16/5.43 % OS : Linux 6.8.0-71-generic
% 0.16/5.43 % CPULimit : 300
% 0.16/5.43 % WCLimit : 300
% 0.16/5.43 % DateTime : Wed Sep 23 10:45:16 UTC 2026
% 0.16/5.44 % CPUTime :
% 0.16/5.44 Running run_fmb4j /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.16/5.49 Running: java -jar /export/starexec/sandbox/solver/bin/FMB4J.jar /export/starexec/sandbox/tmp/tmp.pkAW3D3mvR/theBenchmark.cnf 300
% 0.21/5.94 % domain size: 1
% 1.23/6.07 % domain size: 2
% 1.23/6.15 % domain size: 3
% 4.57/7.03 % domain size: 4
% 16.34/13.98 % model found for domain size 4
% 16.34/14.00 % SZS status CounterSatisfiable for theBenchmark
% 16.34/14.00 % SZS output start FiniteModel for theBenchmark
% See solution above
% 0.24/14.26 % FMB4L exiting
%------------------------------------------------------------------------------