%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : LCL966_9 : TPTP v9.3.1. Released v8.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n015.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 12:01:18 PM UTC 2026
% Result : CounterSatisfiable 0.36s 0.47s
% Output : FiniteModel 0.36s
% 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_$ki_world',type,
'$ki_world': $tType ).
tff('declare_$ki_world1',type,
'fmb_$ki_world_1': '$ki_world' ).
tff('declare_$ki_world2',type,
'fmb_$ki_world_2': '$ki_world' ).
tff('finite_domain_$ki_world',axiom,
! [X: '$ki_world'] :
( ( X = 'fmb_$ki_world_1' )
| ( X = 'fmb_$ki_world_2' ) ) ).
tff('distinct_domain_$ki_world',axiom,
'fmb_$ki_world_1' != 'fmb_$ki_world_2' ).
tff('declare_$ki_local_world',type,
'$ki_local_world': '$ki_world' ).
tff('$ki_local_world_definition',axiom,
'$ki_local_world' = 'fmb_$ki_world_1' ).
tff(declare_set_intersection2,type,
set_intersection2: ( $i * $i ) > $i ).
tff(function_set_intersection2,axiom,
( ( set_intersection2('fmb_$i_1','fmb_$i_1') = 'fmb_$i_2' )
& ( set_intersection2('fmb_$i_1','fmb_$i_2') = 'fmb_$i_2' )
& ( set_intersection2('fmb_$i_2','fmb_$i_1') = 'fmb_$i_2' )
& ( set_intersection2('fmb_$i_2','fmb_$i_2') = 'fmb_$i_2' ) ) ).
tff(declare_singleton,type,
singleton: $i > $i ).
tff(function_singleton,axiom,
( ( singleton('fmb_$i_1') = 'fmb_$i_2' )
& ( singleton('fmb_$i_2') = 'fmb_$i_1' ) ) ).
tff('declare_$ki_accessible',type,
'$ki_accessible': ( '$ki_world' * '$ki_world' ) > $o ).
tff('predicate_$ki_accessible',axiom,
( ~ '$ki_accessible'('fmb_$ki_world_1','fmb_$ki_world_1')
& '$ki_accessible'('fmb_$ki_world_1','fmb_$ki_world_2')
& '$ki_accessible'('fmb_$ki_world_2','fmb_$ki_world_1')
& '$ki_accessible'('fmb_$ki_world_2','fmb_$ki_world_2') ) ).
tff(declare_qmltpeq,type,
qmltpeq: ( '$ki_world' * $i * $i ) > $o ).
tff(predicate_qmltpeq,axiom,
( qmltpeq('fmb_$ki_world_1','fmb_$i_1','fmb_$i_1')
& qmltpeq('fmb_$ki_world_1','fmb_$i_1','fmb_$i_2')
& ~ qmltpeq('fmb_$ki_world_1','fmb_$i_2','fmb_$i_1')
& qmltpeq('fmb_$ki_world_1','fmb_$i_2','fmb_$i_2')
& qmltpeq('fmb_$ki_world_2','fmb_$i_1','fmb_$i_1')
& qmltpeq('fmb_$ki_world_2','fmb_$i_1','fmb_$i_2')
& qmltpeq('fmb_$ki_world_2','fmb_$i_2','fmb_$i_1')
& qmltpeq('fmb_$ki_world_2','fmb_$i_2','fmb_$i_2') ) ).
tff(declare_in,type,
in: ( '$ki_world' * $i * $i ) > $o ).
tff(predicate_in,axiom,
( in('fmb_$ki_world_1','fmb_$i_1','fmb_$i_1')
& in('fmb_$ki_world_1','fmb_$i_1','fmb_$i_2')
& ~ in('fmb_$ki_world_1','fmb_$i_2','fmb_$i_1')
& ~ in('fmb_$ki_world_1','fmb_$i_2','fmb_$i_2')
& in('fmb_$ki_world_2','fmb_$i_1','fmb_$i_1')
& in('fmb_$ki_world_2','fmb_$i_1','fmb_$i_2')
& in('fmb_$ki_world_2','fmb_$i_2','fmb_$i_1')
& in('fmb_$ki_world_2','fmb_$i_2','fmb_$i_2') ) ).
tff(declare_disjoint,type,
disjoint: ( '$ki_world' * $i * $i ) > $o ).
tff(predicate_disjoint,axiom,
( disjoint('fmb_$ki_world_1','fmb_$i_1','fmb_$i_1')
& ~ disjoint('fmb_$ki_world_1','fmb_$i_1','fmb_$i_2')
& ~ disjoint('fmb_$ki_world_1','fmb_$i_2','fmb_$i_1')
& ~ disjoint('fmb_$ki_world_1','fmb_$i_2','fmb_$i_2')
& disjoint('fmb_$ki_world_2','fmb_$i_1','fmb_$i_1')
& disjoint('fmb_$ki_world_2','fmb_$i_1','fmb_$i_2')
& ~ disjoint('fmb_$ki_world_2','fmb_$i_2','fmb_$i_1')
& ~ disjoint('fmb_$ki_world_2','fmb_$i_2','fmb_$i_2') ) ).
tff(declare_empty,type,
empty: ( '$ki_world' * $i ) > $o ).
tff(predicate_empty,axiom,
( ~ empty('fmb_$ki_world_1','fmb_$i_1')
& ~ empty('fmb_$ki_world_1','fmb_$i_2')
& empty('fmb_$ki_world_2','fmb_$i_1')
& ~ empty('fmb_$ki_world_2','fmb_$i_2') ) ).
tff('declare_$ki_exists_in_world_$i',type,
'$ki_exists_in_world_$i': ( '$ki_world' * $i ) > $o ).
tff('predicate_$ki_exists_in_world_$i',axiom,
( '$ki_exists_in_world_$i'('fmb_$ki_world_1','fmb_$i_1')
& '$ki_exists_in_world_$i'('fmb_$ki_world_1','fmb_$i_2')
& ~ '$ki_exists_in_world_$i'('fmb_$ki_world_2','fmb_$i_1')
& '$ki_exists_in_world_$i'('fmb_$ki_world_2','fmb_$i_2') ) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL966_9 : TPTP v9.3.1. Released v8.2.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.36 % Computer : n015.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Sun Sep 27 17:12:16 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.36 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.39 Running first-order model finding
% 0.09/0.39 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
% 0.36/0.47 % (1871359)Will run a generic schedule for satisfiability detection.
% 0.36/0.47 % (1871367)dis+10_1_sil=32000:sp=arity:random_seed=4172641354:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.36/0.47 % (1871365)% WARNING: option uhcvi not known.
% 0.36/0.47 % (1871364)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=245096483_2999 on theBenchmark for (2999ds/0Mi)
% 0.36/0.47 % (1871366)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=759893117:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.36/0.47 % (1871369)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1076463251:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.36/0.47 % (1871370)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2259540028:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.36/0.47 % (1871368)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2670460100:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.36/0.47 % (1871365)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1612279921:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.36/0.47 % TRYING [1]
% 0.36/0.47 % TRYING [2]
% 0.36/0.47 % (1871367)Instruction limit reached!
% 0.36/0.47 % (1871367)------------------------------
% 0.36/0.47 % (1871367)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.36/0.47 % (1871367)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.36/0.47 % (1871367)CaDiCaL version: 2.1.3
% 0.36/0.47 % (1871367)Termination reason: Instruction limit
% 0.36/0.47 % (1871367)Termination phase: Saturation
% 0.36/0.47 % (1871367)Time elapsed: 0.033 s
% 0.36/0.47 % (1871367)Peak memory usage: 13 MB
% 0.36/0.47 % (1871367)Instructions burned: 103 (million)
% 0.36/0.47 % Finite Model Found!
% 0.36/0.47 % SZS status CounterSatisfiable for theBenchmark
% 0.36/0.47 % (1871364) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1871359-1871364"...
% 0.36/0.47 % (1871364)...printing done.
% 0.36/0.47 % SZS output start FiniteModel for theBenchmark
% See solution above
% 0.36/0.47 % (1871364)------------------------------
% 0.36/0.47 % (1871364)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.36/0.47 % (1871364)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.36/0.47 % (1871364)CaDiCaL version: 2.1.3
% 0.36/0.47 % (1871364)Termination reason: Satisfiable
% 0.36/0.47 % (1871364)Time elapsed: 0.029 s
% 0.36/0.47 % (1871364)Peak memory usage: 13 MB
% 0.36/0.47 % (1871364)Instructions burned: 61 (million)
% 0.36/0.47 % (1871359)Success in time 0.067 s
% 0.36/0.47 % Vampire exiting
%------------------------------------------------------------------------------