%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SET781-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 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 : Tue Sep 29 12:44:36 PM UTC 2026
% Result : Satisfiable 0.22s 0.56s
% Output : FiniteModel 0.22s
% 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_empty_set,type,
empty_set: $i ).
tff(empty_set_definition,axiom,
empty_set = 'fmb_$i_1' ).
tff(declare_member_of_1_not_of_2,type,
member_of_1_not_of_2: ( $i * $i ) > $i ).
tff(function_member_of_1_not_of_2,axiom,
( ( member_of_1_not_of_2('fmb_$i_1','fmb_$i_1') = 'fmb_$i_2' )
& ( member_of_1_not_of_2('fmb_$i_1','fmb_$i_2') = 'fmb_$i_2' )
& ( member_of_1_not_of_2('fmb_$i_2','fmb_$i_1') = 'fmb_$i_2' )
& ( member_of_1_not_of_2('fmb_$i_2','fmb_$i_2') = 'fmb_$i_2' ) ) ).
tff(declare_complement,type,
complement: $i > $i ).
tff(function_complement,axiom,
( ( complement('fmb_$i_1') = 'fmb_$i_2' )
& ( complement('fmb_$i_2') = 'fmb_$i_1' ) ) ).
tff(declare_union,type,
union: ( $i * $i ) > $i ).
tff(function_union,axiom,
( ( union('fmb_$i_1','fmb_$i_1') = 'fmb_$i_1' )
& ( union('fmb_$i_1','fmb_$i_2') = 'fmb_$i_2' )
& ( union('fmb_$i_2','fmb_$i_1') = 'fmb_$i_2' )
& ( union('fmb_$i_2','fmb_$i_2') = 'fmb_$i_2' ) ) ).
tff(declare_intersection,type,
intersection: ( $i * $i ) > $i ).
tff(function_intersection,axiom,
( ( intersection('fmb_$i_1','fmb_$i_1') = 'fmb_$i_1' )
& ( intersection('fmb_$i_1','fmb_$i_2') = 'fmb_$i_1' )
& ( intersection('fmb_$i_2','fmb_$i_1') = 'fmb_$i_1' )
& ( intersection('fmb_$i_2','fmb_$i_2') = 'fmb_$i_2' ) ) ).
tff(declare_member,type,
member: ( $i * $i ) > $o ).
tff(predicate_member,axiom,
( ~ member('fmb_$i_1','fmb_$i_1')
& member('fmb_$i_1','fmb_$i_2')
& ~ member('fmb_$i_2','fmb_$i_1')
& member('fmb_$i_2','fmb_$i_2') ) ).
tff(declare_subset,type,
subset: ( $i * $i ) > $o ).
tff(predicate_subset,axiom,
( subset('fmb_$i_1','fmb_$i_1')
& subset('fmb_$i_1','fmb_$i_2')
& ~ subset('fmb_$i_2','fmb_$i_1')
& subset('fmb_$i_2','fmb_$i_2') ) ).
tff(declare_equal_sets,type,
equal_sets: ( $i * $i ) > $o ).
tff(predicate_equal_sets,axiom,
( equal_sets('fmb_$i_1','fmb_$i_1')
& ~ equal_sets('fmb_$i_1','fmb_$i_2')
& ~ equal_sets('fmb_$i_2','fmb_$i_1')
& equal_sets('fmb_$i_2','fmb_$i_2') ) ).
tff(declare_equal_elements,type,
equal_elements: ( $i * $i ) > $o ).
tff(predicate_equal_elements,axiom,
( equal_elements('fmb_$i_1','fmb_$i_1')
& equal_elements('fmb_$i_1','fmb_$i_2')
& equal_elements('fmb_$i_2','fmb_$i_1')
& equal_elements('fmb_$i_2','fmb_$i_2') ) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : SET781-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.08 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.17/0.44 % Computer : n013.cluster.edu
% 0.17/0.44 % Model : x86_64 x86_64
% 0.17/0.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.44 % Memory : 8046.5625MB
% 0.17/0.44 % OS : Linux 6.8.0-71-generic
% 0.17/0.45 % CPULimit : 300
% 0.17/0.45 % WCLimit : 300
% 0.17/0.45 % DateTime : Mon Sep 28 02:46:06 UTC 2026
% 0.17/0.45 % CPUTime :
% 0.17/0.45 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.22/0.50 Running first-order model finding
% 0.22/0.50 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
% 0.22/0.56 % (756723)Will run a generic schedule for satisfiability detection.
% 0.22/0.56 % (756729)% WARNING: option uhcvi not known.
% 0.22/0.56 % (756729)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=122620889:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.22/0.56 % (756733)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=4017464248:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.22/0.56 % (756730)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3540654182:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.22/0.56 % (756728)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3848328762_2999 on theBenchmark for (2999ds/0Mi)
% 0.22/0.56 % (756732)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3340700642:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.22/0.56 % (756734)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3283982134:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.22/0.56 % (756731)dis+10_1_sil=32000:sp=arity:random_seed=3016747566:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.22/0.56 % TRYING [1]
% 0.22/0.56 % TRYING [2]
% 0.22/0.56 % Finite Model Found!
% 0.22/0.56 % SZS status Satisfiable for theBenchmark
% 0.22/0.56 % (756728) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-756723-756728"...
% 0.22/0.56 % (756728)...printing done.
% 0.22/0.56 % SZS output start FiniteModel for theBenchmark
% See solution above
% 0.22/0.56 % (756728)------------------------------
% 0.22/0.56 % (756728)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.22/0.56 % (756728)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.22/0.56 % (756728)CaDiCaL version: 2.1.3
% 0.22/0.56 % (756728)Termination reason: Satisfiable
% 0.22/0.56 % (756728)Time elapsed: 0.003 s
% 0.22/0.56 % (756728)Peak memory usage: 11 MB
% 0.22/0.56 % (756728)Instructions burned: 2 (million)
% 0.22/0.56 % (756723)Success in time 0.041 s
% 0.22/0.56 % Vampire exiting
%------------------------------------------------------------------------------