%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : RNG025-9 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 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 : Tue Sep 29 12:35:46 PM UTC 2026
% Result : Satisfiable 0.22s 0.53s
% 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': $i ).
tff('declare_$i3',type,
'fmb_$i_3': $i ).
tff('finite_domain_$i',axiom,
! [X: $i] :
( ( X = 'fmb_$i_1' )
| ( X = 'fmb_$i_2' )
| ( X = 'fmb_$i_3' ) ) ).
tff('distinct_domain_$i',axiom,
( ( 'fmb_$i_1' != 'fmb_$i_2' )
& ( 'fmb_$i_1' != 'fmb_$i_3' )
& ( 'fmb_$i_2' != 'fmb_$i_3' ) ) ).
tff(declare_additive_identity,type,
additive_identity: $i ).
tff(additive_identity_definition,axiom,
additive_identity = 'fmb_$i_1' ).
tff(declare_a,type,
a: $i ).
tff(a_definition,axiom,
a = 'fmb_$i_2' ).
tff(declare_b,type,
b: $i ).
tff(b_definition,axiom,
b = 'fmb_$i_3' ).
tff(declare_c,type,
c: $i ).
tff(c_definition,axiom,
c = 'fmb_$i_3' ).
tff(declare_additive_inverse,type,
additive_inverse: $i > $i ).
tff(function_additive_inverse,axiom,
( ( additive_inverse('fmb_$i_1') = 'fmb_$i_1' )
& ( additive_inverse('fmb_$i_2') = 'fmb_$i_3' )
& ( additive_inverse('fmb_$i_3') = 'fmb_$i_2' ) ) ).
tff(declare_multiply,type,
multiply: ( $i * $i ) > $i ).
tff(function_multiply,axiom,
( ( multiply('fmb_$i_1','fmb_$i_1') = 'fmb_$i_1' )
& ( multiply('fmb_$i_1','fmb_$i_2') = 'fmb_$i_1' )
& ( multiply('fmb_$i_1','fmb_$i_3') = 'fmb_$i_1' )
& ( multiply('fmb_$i_2','fmb_$i_1') = 'fmb_$i_1' )
& ( multiply('fmb_$i_2','fmb_$i_2') = 'fmb_$i_3' )
& ( multiply('fmb_$i_2','fmb_$i_3') = 'fmb_$i_2' )
& ( multiply('fmb_$i_3','fmb_$i_1') = 'fmb_$i_1' )
& ( multiply('fmb_$i_3','fmb_$i_2') = 'fmb_$i_2' )
& ( multiply('fmb_$i_3','fmb_$i_3') = 'fmb_$i_3' ) ) ).
tff(declare_add,type,
add: ( $i * $i ) > $i ).
tff(function_add,axiom,
( ( add('fmb_$i_1','fmb_$i_1') = 'fmb_$i_1' )
& ( add('fmb_$i_1','fmb_$i_2') = 'fmb_$i_2' )
& ( add('fmb_$i_1','fmb_$i_3') = 'fmb_$i_3' )
& ( add('fmb_$i_2','fmb_$i_1') = 'fmb_$i_2' )
& ( add('fmb_$i_2','fmb_$i_2') = 'fmb_$i_3' )
& ( add('fmb_$i_2','fmb_$i_3') = 'fmb_$i_1' )
& ( add('fmb_$i_3','fmb_$i_1') = 'fmb_$i_3' )
& ( add('fmb_$i_3','fmb_$i_2') = 'fmb_$i_1' )
& ( add('fmb_$i_3','fmb_$i_3') = 'fmb_$i_2' ) ) ).
tff(declare_associator,type,
associator: ( $i * $i * $i ) > $i ).
tff(function_associator,axiom,
( ( associator('fmb_$i_1','fmb_$i_1','fmb_$i_1') = 'fmb_$i_1' )
& ( associator('fmb_$i_1','fmb_$i_1','fmb_$i_2') = 'fmb_$i_1' )
& ( associator('fmb_$i_1','fmb_$i_1','fmb_$i_3') = 'fmb_$i_1' )
& ( associator('fmb_$i_1','fmb_$i_2','fmb_$i_1') = 'fmb_$i_1' )
& ( associator('fmb_$i_1','fmb_$i_2','fmb_$i_2') = 'fmb_$i_1' )
& ( associator('fmb_$i_1','fmb_$i_2','fmb_$i_3') = 'fmb_$i_1' )
& ( associator('fmb_$i_1','fmb_$i_3','fmb_$i_1') = 'fmb_$i_1' )
& ( associator('fmb_$i_1','fmb_$i_3','fmb_$i_2') = 'fmb_$i_1' )
& ( associator('fmb_$i_1','fmb_$i_3','fmb_$i_3') = 'fmb_$i_1' )
& ( associator('fmb_$i_2','fmb_$i_1','fmb_$i_1') = 'fmb_$i_1' )
& ( associator('fmb_$i_2','fmb_$i_1','fmb_$i_2') = 'fmb_$i_1' )
& ( associator('fmb_$i_2','fmb_$i_1','fmb_$i_3') = 'fmb_$i_1' )
& ( associator('fmb_$i_2','fmb_$i_2','fmb_$i_1') = 'fmb_$i_1' )
& ( associator('fmb_$i_2','fmb_$i_2','fmb_$i_2') = 'fmb_$i_3' )
& ( associator('fmb_$i_2','fmb_$i_2','fmb_$i_3') = 'fmb_$i_2' )
& ( associator('fmb_$i_2','fmb_$i_3','fmb_$i_1') = 'fmb_$i_1' )
& ( associator('fmb_$i_2','fmb_$i_3','fmb_$i_2') = 'fmb_$i_2' )
& ( associator('fmb_$i_2','fmb_$i_3','fmb_$i_3') = 'fmb_$i_3' )
& ( associator('fmb_$i_3','fmb_$i_1','fmb_$i_1') = 'fmb_$i_1' )
& ( associator('fmb_$i_3','fmb_$i_1','fmb_$i_2') = 'fmb_$i_1' )
& ( associator('fmb_$i_3','fmb_$i_1','fmb_$i_3') = 'fmb_$i_1' )
& ( associator('fmb_$i_3','fmb_$i_2','fmb_$i_1') = 'fmb_$i_1' )
& ( associator('fmb_$i_3','fmb_$i_2','fmb_$i_2') = 'fmb_$i_2' )
& ( associator('fmb_$i_3','fmb_$i_2','fmb_$i_3') = 'fmb_$i_3' )
& ( associator('fmb_$i_3','fmb_$i_3','fmb_$i_1') = 'fmb_$i_1' )
& ( associator('fmb_$i_3','fmb_$i_3','fmb_$i_2') = 'fmb_$i_3' )
& ( associator('fmb_$i_3','fmb_$i_3','fmb_$i_3') = 'fmb_$i_2' ) ) ).
tff(declare_commutator,type,
commutator: ( $i * $i ) > $i ).
tff(function_commutator,axiom,
( ( commutator('fmb_$i_1','fmb_$i_1') = 'fmb_$i_1' )
& ( commutator('fmb_$i_1','fmb_$i_2') = 'fmb_$i_1' )
& ( commutator('fmb_$i_1','fmb_$i_3') = 'fmb_$i_1' )
& ( commutator('fmb_$i_2','fmb_$i_1') = 'fmb_$i_1' )
& ( commutator('fmb_$i_2','fmb_$i_2') = 'fmb_$i_1' )
& ( commutator('fmb_$i_2','fmb_$i_3') = 'fmb_$i_1' )
& ( commutator('fmb_$i_3','fmb_$i_1') = 'fmb_$i_1' )
& ( commutator('fmb_$i_3','fmb_$i_2') = 'fmb_$i_1' )
& ( commutator('fmb_$i_3','fmb_$i_3') = 'fmb_$i_1' ) ) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : RNG025-9 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.07 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.16/0.41 % Computer : n008.cluster.edu
% 0.16/0.41 % Model : x86_64 x86_64
% 0.16/0.41 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.41 % Memory : 8046.5625MB
% 0.16/0.41 % OS : Linux 6.8.0-71-generic
% 0.16/0.41 % CPULimit : 300
% 0.16/0.41 % WCLimit : 300
% 0.16/0.41 % DateTime : Sun Sep 27 23:00:24 UTC 2026
% 0.16/0.41 % CPUTime :
% 0.16/0.41 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.22/0.47 Running first-order model finding
% 0.22/0.47 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
% 0.22/0.53 % (1710027)Will run a generic schedule for satisfiability detection.
% 0.22/0.53 % (1710032)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=662852623_2999 on theBenchmark for (2999ds/0Mi)
% 0.22/0.53 % TRYING [1]
% 0.22/0.53 % TRYING [2]
% 0.22/0.53 % (1710034)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=590587752:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.22/0.53 % TRYING [3]
% 0.22/0.53 % (1710033)% WARNING: option uhcvi not known.
% 0.22/0.53 % (1710036)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1078331714:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.22/0.53 % (1710035)dis+10_1_sil=32000:sp=arity:random_seed=2355526717:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.22/0.53 % (1710033)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=4101935332:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.22/0.53 % (1710037)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2422538295:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.22/0.53 % (1710038)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1838626293:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.22/0.53 % Finite Model Found!
% 0.22/0.53 % SZS status Satisfiable for theBenchmark
% 0.22/0.53 % (1710032) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1710027-1710032"...
% 0.22/0.53 % (1710032)...printing done.
% 0.22/0.53 % SZS output start FiniteModel for theBenchmark
% See solution above
% 0.22/0.54 % (1710032)------------------------------
% 0.22/0.54 % (1710032)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.22/0.54 % (1710032)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.22/0.54 % (1710032)CaDiCaL version: 2.1.3
% 0.22/0.54 % (1710032)Termination reason: Satisfiable
% 0.22/0.54 % (1710032)Time elapsed: 0.027 s
% 0.22/0.54 % (1710032)Peak memory usage: 14 MB
% 0.22/0.54 % (1710032)Instructions burned: 66 (million)
% 0.22/0.54 % (1710027)Success in time 0.052 s
% 0.22/0.54 % Vampire exiting
%------------------------------------------------------------------------------