%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : GEO228+3 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n003.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 09:54:09 AM UTC 2026
% Result : CounterSatisfiable 0.09s 0.46s
% 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_reverse_line,type,
reverse_line: $i > $i ).
tff(function_reverse_line,axiom,
( ( reverse_line('fmb_$i_1') = 'fmb_$i_2' )
& ( reverse_line('fmb_$i_2') = 'fmb_$i_1' ) ) ).
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_unequally_directed_opposite_lines,type,
unequally_directed_opposite_lines: ( $i * $i ) > $o ).
tff(predicate_unequally_directed_opposite_lines,axiom,
( unequally_directed_opposite_lines('fmb_$i_1','fmb_$i_1')
& ~ unequally_directed_opposite_lines('fmb_$i_1','fmb_$i_2')
& ~ unequally_directed_opposite_lines('fmb_$i_2','fmb_$i_1')
& unequally_directed_opposite_lines('fmb_$i_2','fmb_$i_2') ) ).
tff(declare_unequally_directed_lines,type,
unequally_directed_lines: ( $i * $i ) > $o ).
tff(predicate_unequally_directed_lines,axiom,
( ~ unequally_directed_lines('fmb_$i_1','fmb_$i_1')
& unequally_directed_lines('fmb_$i_1','fmb_$i_2')
& unequally_directed_lines('fmb_$i_2','fmb_$i_1')
& ~ unequally_directed_lines('fmb_$i_2','fmb_$i_2') ) ).
tff(declare_right_apart_point,type,
right_apart_point: ( $i * $i ) > $o ).
tff(predicate_right_apart_point,axiom,
( ~ right_apart_point('fmb_$i_1','fmb_$i_1')
& ~ right_apart_point('fmb_$i_1','fmb_$i_2')
& ~ right_apart_point('fmb_$i_2','fmb_$i_1')
& ~ right_apart_point('fmb_$i_2','fmb_$i_2') ) ).
tff(declare_left_apart_point,type,
left_apart_point: ( $i * $i ) > $o ).
tff(predicate_left_apart_point,axiom,
( ~ left_apart_point('fmb_$i_1','fmb_$i_1')
& ~ left_apart_point('fmb_$i_1','fmb_$i_2')
& ~ left_apart_point('fmb_$i_2','fmb_$i_1')
& ~ left_apart_point('fmb_$i_2','fmb_$i_2') ) ).
tff(declare_right_convergent_lines,type,
right_convergent_lines: ( $i * $i ) > $o ).
tff(predicate_right_convergent_lines,axiom,
( ~ right_convergent_lines('fmb_$i_1','fmb_$i_1')
& ~ right_convergent_lines('fmb_$i_1','fmb_$i_2')
& ~ right_convergent_lines('fmb_$i_2','fmb_$i_1')
& ~ right_convergent_lines('fmb_$i_2','fmb_$i_2') ) ).
tff(declare_left_convergent_lines,type,
left_convergent_lines: ( $i * $i ) > $o ).
tff(predicate_left_convergent_lines,axiom,
( ~ left_convergent_lines('fmb_$i_1','fmb_$i_1')
& ~ left_convergent_lines('fmb_$i_1','fmb_$i_2')
& ~ left_convergent_lines('fmb_$i_2','fmb_$i_1')
& ~ left_convergent_lines('fmb_$i_2','fmb_$i_2') ) ).
tff(declare_equally_directed_lines,type,
equally_directed_lines: ( $i * $i ) > $o ).
tff(predicate_equally_directed_lines,axiom,
( equally_directed_lines('fmb_$i_1','fmb_$i_1')
& ~ equally_directed_lines('fmb_$i_1','fmb_$i_2')
& ~ equally_directed_lines('fmb_$i_2','fmb_$i_1')
& equally_directed_lines('fmb_$i_2','fmb_$i_2') ) ).
tff(declare_equally_directed_opposite_lines,type,
equally_directed_opposite_lines: ( $i * $i ) > $o ).
tff(predicate_equally_directed_opposite_lines,axiom,
( ~ equally_directed_opposite_lines('fmb_$i_1','fmb_$i_1')
& equally_directed_opposite_lines('fmb_$i_1','fmb_$i_2')
& equally_directed_opposite_lines('fmb_$i_2','fmb_$i_1')
& ~ equally_directed_opposite_lines('fmb_$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_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_divides_points,type,
divides_points: ( $i * $i * $i ) > $o ).
tff(predicate_divides_points,axiom,
( ~ divides_points('fmb_$i_1','fmb_$i_1','fmb_$i_1')
& ~ divides_points('fmb_$i_1','fmb_$i_1','fmb_$i_2')
& ~ divides_points('fmb_$i_1','fmb_$i_2','fmb_$i_1')
& ~ divides_points('fmb_$i_1','fmb_$i_2','fmb_$i_2')
& ~ divides_points('fmb_$i_2','fmb_$i_1','fmb_$i_1')
& ~ divides_points('fmb_$i_2','fmb_$i_1','fmb_$i_2')
& ~ divides_points('fmb_$i_2','fmb_$i_2','fmb_$i_1')
& ~ divides_points('fmb_$i_2','fmb_$i_2','fmb_$i_2') ) ).
tff(declare_before_on_line,type,
before_on_line: ( $i * $i * $i ) > $o ).
tff(predicate_before_on_line,axiom,
( ~ before_on_line('fmb_$i_1','fmb_$i_1','fmb_$i_1')
& ~ before_on_line('fmb_$i_1','fmb_$i_1','fmb_$i_2')
& ~ before_on_line('fmb_$i_1','fmb_$i_2','fmb_$i_1')
& ~ before_on_line('fmb_$i_1','fmb_$i_2','fmb_$i_2')
& ~ before_on_line('fmb_$i_2','fmb_$i_1','fmb_$i_1')
& ~ before_on_line('fmb_$i_2','fmb_$i_1','fmb_$i_2')
& ~ before_on_line('fmb_$i_2','fmb_$i_2','fmb_$i_1')
& ~ before_on_line('fmb_$i_2','fmb_$i_2','fmb_$i_2') ) ).
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_incident_point_and_line,type,
incident_point_and_line: ( $i * $i ) > $o ).
tff(predicate_incident_point_and_line,axiom,
( ~ incident_point_and_line('fmb_$i_1','fmb_$i_1')
& ~ incident_point_and_line('fmb_$i_1','fmb_$i_2')
& ~ incident_point_and_line('fmb_$i_2','fmb_$i_1')
& ~ incident_point_and_line('fmb_$i_2','fmb_$i_2') ) ).
tff(declare_between_on_line,type,
between_on_line: ( $i * $i * $i * $i ) > $o ).
tff(predicate_between_on_line,axiom,
( ~ between_on_line('fmb_$i_1','fmb_$i_1','fmb_$i_1','fmb_$i_1')
& ~ between_on_line('fmb_$i_1','fmb_$i_1','fmb_$i_1','fmb_$i_2')
& ~ between_on_line('fmb_$i_1','fmb_$i_1','fmb_$i_2','fmb_$i_1')
& ~ between_on_line('fmb_$i_1','fmb_$i_1','fmb_$i_2','fmb_$i_2')
& ~ between_on_line('fmb_$i_1','fmb_$i_2','fmb_$i_1','fmb_$i_1')
& ~ between_on_line('fmb_$i_1','fmb_$i_2','fmb_$i_1','fmb_$i_2')
& ~ between_on_line('fmb_$i_1','fmb_$i_2','fmb_$i_2','fmb_$i_1')
& ~ between_on_line('fmb_$i_1','fmb_$i_2','fmb_$i_2','fmb_$i_2')
& ~ between_on_line('fmb_$i_2','fmb_$i_1','fmb_$i_1','fmb_$i_1')
& ~ between_on_line('fmb_$i_2','fmb_$i_1','fmb_$i_1','fmb_$i_2')
& ~ between_on_line('fmb_$i_2','fmb_$i_1','fmb_$i_2','fmb_$i_1')
& ~ between_on_line('fmb_$i_2','fmb_$i_1','fmb_$i_2','fmb_$i_2')
& ~ between_on_line('fmb_$i_2','fmb_$i_2','fmb_$i_1','fmb_$i_1')
& ~ between_on_line('fmb_$i_2','fmb_$i_2','fmb_$i_1','fmb_$i_2')
& ~ between_on_line('fmb_$i_2','fmb_$i_2','fmb_$i_2','fmb_$i_1')
& ~ between_on_line('fmb_$i_2','fmb_$i_2','fmb_$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_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_parallel_lines,type,
parallel_lines: ( $i * $i ) > $o ).
tff(predicate_parallel_lines,axiom,
( ~ parallel_lines('fmb_$i_1','fmb_$i_1')
& parallel_lines('fmb_$i_1','fmb_$i_2')
& parallel_lines('fmb_$i_2','fmb_$i_1')
& parallel_lines('fmb_$i_2','fmb_$i_2') ) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO228+3 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.37 % Computer : n003.cluster.edu
% 0.09/0.37 % Model : x86_64 x86_64
% 0.09/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.37 % Memory : 8046.5625MB
% 0.09/0.37 % OS : Linux 6.8.0-71-generic
% 0.09/0.37 % CPULimit : 300
% 0.09/0.37 % WCLimit : 300
% 0.09/0.37 % DateTime : Sun Sep 27 07:48:11 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.37 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.40 Running first-order model finding
% 0.09/0.40 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.46 % (173802)Will run a generic schedule for satisfiability detection.
% 0.09/0.46 % (173810)dis+10_1_sil=32000:sp=arity:random_seed=1513024857:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.09/0.46 % (173808)% WARNING: option uhcvi not known.
% 0.09/0.46 % (173808)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3590329615:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.09/0.46 % (173807)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=719701380_2999 on theBenchmark for (2999ds/0Mi)
% 0.09/0.46 % (173812)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2374164608:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.09/0.46 % (173809)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=4049273800:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.09/0.46 % (173811)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=742148213:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.09/0.46 % (173813)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3249399339:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.09/0.46 % TRYING [1]
% 0.09/0.46 % TRYING [2]
% 0.09/0.46 % Finite Model Found!
% 0.09/0.46 % SZS status CounterSatisfiable for theBenchmark
% 0.09/0.46 % (173807) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-173802-173807"...
% 0.09/0.46 % (173807)...printing done.
% 0.09/0.46 % SZS output start FiniteModel for theBenchmark
% See solution above
% 0.17/0.46 % (173807)------------------------------
% 0.17/0.46 % (173807)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.17/0.46 % (173807)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.17/0.46 % (173807)CaDiCaL version: 2.1.3
% 0.17/0.46 % (173807)Termination reason: Satisfiable
% 0.17/0.46 % (173807)Time elapsed: 0.004 s
% 0.17/0.46 % (173807)Peak memory usage: 11 MB
% 0.17/0.46 % (173807)Instructions burned: 6 (million)
% 0.17/0.46 % (173802)Success in time 0.044 s
% 0.17/0.46 % Vampire exiting
%------------------------------------------------------------------------------