%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : GRP024-4 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n009.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 10:16:23 AM UTC 2026
% Result : Satisfiable 0.17s 0.56s
% Output : FiniteModel 0.60s
% 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': $i ).
tff('declare_$i4',type,
'fmb_$i_4': $i ).
tff('declare_$i5',type,
'fmb_$i_5': $i ).
tff('declare_$i6',type,
'fmb_$i_6': $i ).
tff('finite_domain_$i',axiom,
! [X: $i] :
( ( X = 'fmb_$i_1' )
| ( X = 'fmb_$i_2' )
| ( X = 'fmb_$i_3' )
| ( X = 'fmb_$i_4' )
| ( X = 'fmb_$i_5' )
| ( X = 'fmb_$i_6' ) ) ).
tff('distinct_domain_$i',axiom,
( ( 'fmb_$i_1' != 'fmb_$i_2' )
& ( 'fmb_$i_1' != 'fmb_$i_3' )
& ( 'fmb_$i_1' != 'fmb_$i_4' )
& ( 'fmb_$i_1' != 'fmb_$i_5' )
& ( 'fmb_$i_1' != 'fmb_$i_6' )
& ( 'fmb_$i_2' != 'fmb_$i_3' )
& ( 'fmb_$i_2' != 'fmb_$i_4' )
& ( 'fmb_$i_2' != 'fmb_$i_5' )
& ( 'fmb_$i_2' != 'fmb_$i_6' )
& ( 'fmb_$i_3' != 'fmb_$i_4' )
& ( 'fmb_$i_3' != 'fmb_$i_5' )
& ( 'fmb_$i_3' != 'fmb_$i_6' )
& ( 'fmb_$i_4' != 'fmb_$i_5' )
& ( 'fmb_$i_4' != 'fmb_$i_6' )
& ( 'fmb_$i_5' != 'fmb_$i_6' ) ) ).
tff(declare_identity,type,
identity: $i ).
tff(identity_definition,axiom,
identity = 'fmb_$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_2' ).
tff(declare_c,type,
c: $i ).
tff(c_definition,axiom,
c = 'fmb_$i_3' ).
tff(declare_e,type,
e: $i ).
tff(e_definition,axiom,
e = 'fmb_$i_4' ).
tff(declare_f,type,
f: $i ).
tff(f_definition,axiom,
f = 'fmb_$i_5' ).
tff(declare_g,type,
g: $i ).
tff(g_definition,axiom,
g = 'fmb_$i_5' ).
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_$i_2' )
& ( multiply('fmb_$i_1','fmb_$i_3') = 'fmb_$i_3' )
& ( multiply('fmb_$i_1','fmb_$i_4') = 'fmb_$i_4' )
& ( multiply('fmb_$i_1','fmb_$i_5') = 'fmb_$i_5' )
& ( multiply('fmb_$i_1','fmb_$i_6') = 'fmb_$i_6' )
& ( multiply('fmb_$i_2','fmb_$i_1') = 'fmb_$i_2' )
& ( multiply('fmb_$i_2','fmb_$i_2') = 'fmb_$i_6' )
& ( multiply('fmb_$i_2','fmb_$i_3') = 'fmb_$i_5' )
& ( multiply('fmb_$i_2','fmb_$i_4') = 'fmb_$i_3' )
& ( multiply('fmb_$i_2','fmb_$i_5') = 'fmb_$i_4' )
& ( multiply('fmb_$i_2','fmb_$i_6') = 'fmb_$i_1' )
& ( multiply('fmb_$i_3','fmb_$i_1') = 'fmb_$i_3' )
& ( multiply('fmb_$i_3','fmb_$i_2') = 'fmb_$i_4' )
& ( multiply('fmb_$i_3','fmb_$i_3') = 'fmb_$i_1' )
& ( multiply('fmb_$i_3','fmb_$i_4') = 'fmb_$i_2' )
& ( multiply('fmb_$i_3','fmb_$i_5') = 'fmb_$i_6' )
& ( multiply('fmb_$i_3','fmb_$i_6') = 'fmb_$i_5' )
& ( multiply('fmb_$i_4','fmb_$i_1') = 'fmb_$i_4' )
& ( multiply('fmb_$i_4','fmb_$i_2') = 'fmb_$i_5' )
& ( multiply('fmb_$i_4','fmb_$i_3') = 'fmb_$i_6' )
& ( multiply('fmb_$i_4','fmb_$i_4') = 'fmb_$i_1' )
& ( multiply('fmb_$i_4','fmb_$i_5') = 'fmb_$i_2' )
& ( multiply('fmb_$i_4','fmb_$i_6') = 'fmb_$i_3' )
& ( multiply('fmb_$i_5','fmb_$i_1') = 'fmb_$i_5' )
& ( multiply('fmb_$i_5','fmb_$i_2') = 'fmb_$i_3' )
& ( multiply('fmb_$i_5','fmb_$i_3') = 'fmb_$i_2' )
& ( multiply('fmb_$i_5','fmb_$i_4') = 'fmb_$i_6' )
& ( multiply('fmb_$i_5','fmb_$i_5') = 'fmb_$i_1' )
& ( multiply('fmb_$i_5','fmb_$i_6') = 'fmb_$i_4' )
& ( multiply('fmb_$i_6','fmb_$i_1') = 'fmb_$i_6' )
& ( multiply('fmb_$i_6','fmb_$i_2') = 'fmb_$i_1' )
& ( multiply('fmb_$i_6','fmb_$i_3') = 'fmb_$i_4' )
& ( multiply('fmb_$i_6','fmb_$i_4') = 'fmb_$i_5' )
& ( multiply('fmb_$i_6','fmb_$i_5') = 'fmb_$i_3' )
& ( multiply('fmb_$i_6','fmb_$i_6') = 'fmb_$i_2' ) ) ).
tff(declare_inverse,type,
inverse: $i > $i ).
tff(function_inverse,axiom,
( ( inverse('fmb_$i_1') = 'fmb_$i_1' )
& ( inverse('fmb_$i_2') = 'fmb_$i_6' )
& ( inverse('fmb_$i_3') = 'fmb_$i_3' )
& ( inverse('fmb_$i_4') = 'fmb_$i_4' )
& ( inverse('fmb_$i_5') = 'fmb_$i_5' )
& ( inverse('fmb_$i_6') = '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_$i_1','fmb_$i_4') = 'fmb_$i_1' )
& ( commutator('fmb_$i_1','fmb_$i_5') = 'fmb_$i_1' )
& ( commutator('fmb_$i_1','fmb_$i_6') = '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_6' )
& ( commutator('fmb_$i_2','fmb_$i_4') = 'fmb_$i_6' )
& ( commutator('fmb_$i_2','fmb_$i_5') = 'fmb_$i_6' )
& ( commutator('fmb_$i_2','fmb_$i_6') = 'fmb_$i_1' )
& ( commutator('fmb_$i_3','fmb_$i_1') = 'fmb_$i_1' )
& ( commutator('fmb_$i_3','fmb_$i_2') = 'fmb_$i_2' )
& ( commutator('fmb_$i_3','fmb_$i_3') = 'fmb_$i_1' )
& ( commutator('fmb_$i_3','fmb_$i_4') = 'fmb_$i_6' )
& ( commutator('fmb_$i_3','fmb_$i_5') = 'fmb_$i_2' )
& ( commutator('fmb_$i_3','fmb_$i_6') = 'fmb_$i_6' )
& ( commutator('fmb_$i_4','fmb_$i_1') = 'fmb_$i_1' )
& ( commutator('fmb_$i_4','fmb_$i_2') = 'fmb_$i_2' )
& ( commutator('fmb_$i_4','fmb_$i_3') = 'fmb_$i_2' )
& ( commutator('fmb_$i_4','fmb_$i_4') = 'fmb_$i_1' )
& ( commutator('fmb_$i_4','fmb_$i_5') = 'fmb_$i_6' )
& ( commutator('fmb_$i_4','fmb_$i_6') = 'fmb_$i_6' )
& ( commutator('fmb_$i_5','fmb_$i_1') = 'fmb_$i_1' )
& ( commutator('fmb_$i_5','fmb_$i_2') = 'fmb_$i_2' )
& ( commutator('fmb_$i_5','fmb_$i_3') = 'fmb_$i_6' )
& ( commutator('fmb_$i_5','fmb_$i_4') = 'fmb_$i_2' )
& ( commutator('fmb_$i_5','fmb_$i_5') = 'fmb_$i_1' )
& ( commutator('fmb_$i_5','fmb_$i_6') = 'fmb_$i_6' )
& ( commutator('fmb_$i_6','fmb_$i_1') = 'fmb_$i_1' )
& ( commutator('fmb_$i_6','fmb_$i_2') = 'fmb_$i_1' )
& ( commutator('fmb_$i_6','fmb_$i_3') = 'fmb_$i_2' )
& ( commutator('fmb_$i_6','fmb_$i_4') = 'fmb_$i_2' )
& ( commutator('fmb_$i_6','fmb_$i_5') = 'fmb_$i_2' )
& ( commutator('fmb_$i_6','fmb_$i_6') = 'fmb_$i_1' ) ) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP024-4 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.37 % Computer : n009.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Sun Sep 27 09:14:15 UTC 2026
% 0.10/0.38 % CPUTime :
% 0.10/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.41 Running first-order model finding
% 0.10/0.41 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
% 0.17/0.56 % (1754975)Will run a generic schedule for satisfiability detection.
% 0.17/0.56 % (1754990)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=454131231:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.17/0.56 % (1754987)% WARNING: option uhcvi not known.
% 0.17/0.56 % (1754986)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1588845807_2999 on theBenchmark for (2999ds/0Mi)
% 0.17/0.56 % (1754989)dis+10_1_sil=32000:sp=arity:random_seed=54643683:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.17/0.56 % (1754988)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1101846293:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.17/0.56 % (1754987)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1576854513:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.17/0.56 % (1754991)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=800618817:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.17/0.56 % (1754992)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2277042611:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.17/0.56 % TRYING [1]
% 0.17/0.56 % TRYING [2]
% 0.17/0.56 % TRYING [3]
% 0.17/0.56 % TRYING [4]
% 0.17/0.56 % TRYING [5]
% 0.17/0.56 % (1754990)Instruction limit reached!
% 0.17/0.56 % (1754990)------------------------------
% 0.17/0.56 % (1754990)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.17/0.56 % (1754990)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.17/0.56 % (1754990)CaDiCaL version: 2.1.3
% 0.17/0.56 % (1754990)Termination reason: Instruction limit
% 0.17/0.56 % (1754990)Termination phase: Saturation
% 0.17/0.56 % (1754990)Time elapsed: 0.033 s
% 0.17/0.56 % (1754990)Peak memory usage: 12 MB
% 0.17/0.56 % (1754990)Instructions burned: 117 (million)
% 0.17/0.56 % (1755013)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=3035207611:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 0.17/0.56 % TRYING [1]
% 0.17/0.56 % TRYING [2]
% 0.17/0.56 % TRYING [3]
% 0.17/0.56 % TRYING [4]
% 0.17/0.56 % TRYING [6]
% 0.17/0.56 % (1754989)Instruction limit reached!
% 0.17/0.56 % (1754989)------------------------------
% 0.17/0.56 % (1754989)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.17/0.56 % (1754989)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.17/0.56 % (1754989)CaDiCaL version: 2.1.3
% 0.17/0.56 % (1754989)Termination reason: Instruction limit
% 0.17/0.56 % (1754989)Termination phase: Saturation
% 0.17/0.56 % (1754989)Time elapsed: 0.051 s
% 0.17/0.56 % (1754989)Peak memory usage: 12 MB
% 0.17/0.56 % (1754989)Instructions burned: 103 (million)
% 0.17/0.56 % TRYING [5]
% 0.17/0.56 % (1754991)Instruction limit reached!
% 0.17/0.56 % (1754991)------------------------------
% 0.17/0.56 % (1754991)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.17/0.56 % (1754991)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.17/0.56 % (1754991)CaDiCaL version: 2.1.3
% 0.17/0.56 % (1754991)Termination reason: Instruction limit
% 0.17/0.56 % (1754991)Termination phase: Saturation
% 0.17/0.56 % (1754991)Time elapsed: 0.069 s
% 0.17/0.56 % (1754991)Peak memory usage: 12 MB
% 0.17/0.56 % (1754991)Instructions burned: 136 (million)
% 0.17/0.56 % (1755022)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=1306326818:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 0.17/0.56 % (1754992)Instruction limit reached!
% 0.17/0.56 % (1754992)------------------------------
% 0.17/0.56 % (1754992)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.17/0.56 % (1754992)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.17/0.56 % (1754992)CaDiCaL version: 2.1.3
% 0.17/0.56 % (1754992)Termination reason: Instruction limit
% 0.17/0.56 % (1754992)Termination phase: Saturation
% 0.17/0.56 % (1754992)Time elapsed: 0.087 s
% 0.17/0.56 % (1754992)Peak memory usage: 13 MB
% 0.17/0.56 % (1754992)Instructions burned: 160 (million)
% 0.17/0.56 % (1755028)dis+11_32_anc=none:slsqr=2,1:sil=64000:sas=cadical:lma=off:lsd=50:s2agt=8:slsqc=1:kmz=on:newcnf=on:slsq=on:random_seed=2549572892:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 0.17/0.56 % Finite Model Found!
% 0.17/0.56 % SZS status Satisfiable for theBenchmark
% 0.17/0.56 % TRYING [6]
% 0.17/0.56 % (1754986) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1754975-1754986"...
% 0.17/0.56 % (1754986)...printing done.
% 0.17/0.56 % SZS output start FiniteModel for theBenchmark
% See solution above
% 0.60/0.56 % (1754986)------------------------------
% 0.60/0.56 % (1754986)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.60/0.56 % (1754986)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.60/0.56 % (1754986)CaDiCaL version: 2.1.3
% 0.60/0.56 % (1754986)Termination reason: Satisfiable
% 0.60/0.56 % (1754986)Time elapsed: 0.095 s
% 0.60/0.56 % (1754986)Peak memory usage: 16 MB
% 0.60/0.56 % (1754986)Instructions burned: 210 (million)
% 0.60/0.56 % (1754975)Success in time 0.14 s
% 0.60/0.56 % Vampire exiting
%------------------------------------------------------------------------------