%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : GEO224+2 : TPTP v9.3.1. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n007.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 : Tue Sep 29 09:54:07 AM UTC 2026
% Result : CounterSatisfiable 0.17s 0.48s
% Output : FiniteModel 0.17s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
tff('declare_$i1',type,
'fmb_$i_1': $i ).
tff('declare_$i2',type,
'fmb_$i_2': $i ).
tff('finite_domain_$i',axiom,
! [X: $i] :
( ( X = 'fmb_$i_1' )
| ( X = 'fmb_$i_2' ) ) ).
tff('distinct_domain_$i',axiom,
'fmb_$i_1' != 'fmb_$i_2' ).
tff(declare_line_connecting,type,
line_connecting: ( $i * $i ) > $i ).
tff(function_line_connecting,axiom,
( ( line_connecting('fmb_$i_1','fmb_$i_1') = 'fmb_$i_2' )
& ( line_connecting('fmb_$i_1','fmb_$i_2') = 'fmb_$i_2' )
& ( line_connecting('fmb_$i_2','fmb_$i_1') = 'fmb_$i_2' )
& ( line_connecting('fmb_$i_2','fmb_$i_2') = 'fmb_$i_2' ) ) ).
tff(declare_intersection_point,type,
intersection_point: ( $i * $i ) > $i ).
tff(function_intersection_point,axiom,
( ( intersection_point('fmb_$i_1','fmb_$i_1') = 'fmb_$i_2' )
& ( intersection_point('fmb_$i_1','fmb_$i_2') = 'fmb_$i_2' )
& ( intersection_point('fmb_$i_2','fmb_$i_1') = 'fmb_$i_2' )
& ( intersection_point('fmb_$i_2','fmb_$i_2') = 'fmb_$i_2' ) ) ).
tff(declare_parallel_through_point,type,
parallel_through_point: ( $i * $i ) > $i ).
tff(function_parallel_through_point,axiom,
( ( parallel_through_point('fmb_$i_1','fmb_$i_1') = 'fmb_$i_1' )
& ( parallel_through_point('fmb_$i_1','fmb_$i_2') = 'fmb_$i_1' )
& ( parallel_through_point('fmb_$i_2','fmb_$i_1') = 'fmb_$i_2' )
& ( parallel_through_point('fmb_$i_2','fmb_$i_2') = 'fmb_$i_2' ) ) ).
tff(declare_orthogonal_through_point,type,
orthogonal_through_point: ( $i * $i ) > $i ).
tff(function_orthogonal_through_point,axiom,
( ( orthogonal_through_point('fmb_$i_1','fmb_$i_1') = 'fmb_$i_2' )
& ( orthogonal_through_point('fmb_$i_1','fmb_$i_2') = 'fmb_$i_2' )
& ( orthogonal_through_point('fmb_$i_2','fmb_$i_1') = 'fmb_$i_1' )
& ( orthogonal_through_point('fmb_$i_2','fmb_$i_2') = 'fmb_$i_1' ) ) ).
tff(declare_distinct_points,type,
distinct_points: ( $i * $i ) > $o ).
tff(predicate_distinct_points,axiom,
( ~ distinct_points('fmb_$i_1','fmb_$i_1')
& ~ distinct_points('fmb_$i_1','fmb_$i_2')
& ~ distinct_points('fmb_$i_2','fmb_$i_1')
& ~ distinct_points('fmb_$i_2','fmb_$i_2') ) ).
tff(declare_distinct_lines,type,
distinct_lines: ( $i * $i ) > $o ).
tff(predicate_distinct_lines,axiom,
( ~ distinct_lines('fmb_$i_1','fmb_$i_1')
& distinct_lines('fmb_$i_1','fmb_$i_2')
& distinct_lines('fmb_$i_2','fmb_$i_1')
& ~ distinct_lines('fmb_$i_2','fmb_$i_2') ) ).
tff(declare_convergent_lines,type,
convergent_lines: ( $i * $i ) > $o ).
tff(predicate_convergent_lines,axiom,
( ~ convergent_lines('fmb_$i_1','fmb_$i_1')
& convergent_lines('fmb_$i_1','fmb_$i_2')
& convergent_lines('fmb_$i_2','fmb_$i_1')
& ~ convergent_lines('fmb_$i_2','fmb_$i_2') ) ).
tff(declare_apart_point_and_line,type,
apart_point_and_line: ( $i * $i ) > $o ).
tff(predicate_apart_point_and_line,axiom,
( ~ apart_point_and_line('fmb_$i_1','fmb_$i_1')
& ~ apart_point_and_line('fmb_$i_1','fmb_$i_2')
& ~ apart_point_and_line('fmb_$i_2','fmb_$i_1')
& ~ apart_point_and_line('fmb_$i_2','fmb_$i_2') ) ).
tff(declare_unorthogonal_lines,type,
unorthogonal_lines: ( $i * $i ) > $o ).
tff(predicate_unorthogonal_lines,axiom,
( unorthogonal_lines('fmb_$i_1','fmb_$i_1')
& ~ unorthogonal_lines('fmb_$i_1','fmb_$i_2')
& ~ unorthogonal_lines('fmb_$i_2','fmb_$i_1')
& unorthogonal_lines('fmb_$i_2','fmb_$i_2') ) ).
tff(declare_point,type,
point: $i > $o ).
tff(predicate_point,axiom,
( point('fmb_$i_1')
& point('fmb_$i_2') ) ).
tff(declare_line,type,
line: $i > $o ).
tff(predicate_line,axiom,
( line('fmb_$i_1')
& line('fmb_$i_2') ) ).
tff(declare_apt,type,
apt: ( $i * $i ) > $o ).
tff(predicate_apt,axiom,
( apt('fmb_$i_1','fmb_$i_1')
& apt('fmb_$i_1','fmb_$i_2')
& apt('fmb_$i_2','fmb_$i_1')
& apt('fmb_$i_2','fmb_$i_2') ) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO224+2 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.13/0.40 % Computer : n007.cluster.edu
% 0.13/0.40 % Model : x86_64 x86_64
% 0.13/0.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.40 % Memory : 8046.5625MB
% 0.13/0.40 % OS : Linux 6.8.0-71-generic
% 0.13/0.40 % CPULimit : 300
% 0.13/0.40 % WCLimit : 300
% 0.13/0.40 % DateTime : Sun Sep 27 07:42:10 UTC 2026
% 0.13/0.41 % CPUTime :
% 0.13/0.41 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.13/0.44 Running first-order model finding
% 0.13/0.44 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.17/0.48 % (1078714)Will run a generic schedule for satisfiability detection.
% 0.17/0.48 % (1078719)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2773537565_2999 on theBenchmark for (2999ds/0Mi)
% 0.17/0.48 % TRYING [1]
% 0.17/0.48 % TRYING [2]
% 0.17/0.48 % Finite Model Found!
% 0.17/0.48 % SZS status CounterSatisfiable for theBenchmark
% 0.17/0.48 % (1078719) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1078714-1078719"...
% 0.17/0.48 % (1078719)...printing done.
% 0.17/0.48 % SZS output start FiniteModel for theBenchmark
% See solution above
% 0.17/0.48 % (1078719)------------------------------
% 0.17/0.48 % (1078719)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.17/0.48 % (1078719)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.17/0.48 % (1078719)CaDiCaL version: 2.1.3
% 0.17/0.48 % (1078719)Termination reason: Satisfiable
% 0.17/0.48 % (1078719)Time elapsed: 0.001 s
% 0.17/0.48 % (1078719)Peak memory usage: 11 MB
% 0.17/0.48 % (1078719)Instructions burned: 4 (million)
% 0.17/0.48 % (1078714)Success in time 0.034 s
% 0.17/0.48 % Vampire exiting
%------------------------------------------------------------------------------