%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : GRP398-2 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n019.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 10:17:42 AM UTC 2026
% Result : Satisfiable 0.12s 0.45s
% Output : FiniteModel 0.12s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
tff('declare_$i1',type,
'fmb_$i_1': $i ).
tff('finite_domain_$i',axiom,
! [X: $i] : ( X = 'fmb_$i_1' ) ).
tff(declare_identity,type,
identity: $i ).
tff(identity_definition,axiom,
identity = 'fmb_$i_1' ).
tff(declare_inverse,type,
inverse: $i > $i ).
tff(function_inverse,axiom,
inverse('fmb_$i_1') = 'fmb_$i_1' ).
tff(declare_multiply,type,
multiply: ( $i * $i ) > $i ).
tff(function_multiply,axiom,
multiply('fmb_$i_1','fmb_$i_1') = 'fmb_$i_1' ).
tff(declare_product,type,
product: ( $i * $i * $i ) > $o ).
tff(predicate_product,axiom,
product('fmb_$i_1','fmb_$i_1','fmb_$i_1') ).
tff(declare_subgroup_member,type,
subgroup_member: $i > $o ).
tff(predicate_subgroup_member,axiom,
~ subgroup_member('fmb_$i_1') ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP398-2 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.12/0.39 % Computer : n019.cluster.edu
% 0.12/0.39 % Model : x86_64 x86_64
% 0.12/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.39 % Memory : 8046.5625MB
% 0.12/0.39 % OS : Linux 6.8.0-71-generic
% 0.12/0.39 % CPULimit : 300
% 0.12/0.39 % WCLimit : 300
% 0.12/0.39 % DateTime : Sun Sep 27 10:01:49 UTC 2026
% 0.12/0.39 % CPUTime :
% 0.12/0.39 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.12/0.43 Running first-order model finding
% 0.12/0.43 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
% 0.12/0.45 % (2849556)Will run a generic schedule for satisfiability detection.
% 0.12/0.45 % (2849562)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1413306049_2999 on theBenchmark for (2999ds/0Mi)
% 0.12/0.45 % TRYING [1]
% 0.12/0.45 % Finite Model Found!
% 0.12/0.45 % SZS status Satisfiable for theBenchmark
% 0.12/0.45 % (2849562) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2849556-2849562"...
% 0.12/0.45 % (2849562)...printing done.
% 0.12/0.45 % SZS output start FiniteModel for theBenchmark
% See solution above
% 0.12/0.45 % (2849562)------------------------------
% 0.12/0.45 % (2849562)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.12/0.45 % (2849562)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.12/0.45 % (2849562)CaDiCaL version: 2.1.3
% 0.12/0.45 % (2849562)Termination reason: Satisfiable
% 0.12/0.45 % (2849562)Time elapsed: 0.001 s
% 0.12/0.45 % (2849562)Peak memory usage: 11 MB
% 0.12/0.45 % (2849562)Instructions burned: 1 (million)
% 0.12/0.45 % (2849556)Success in time 0.015 s
% 0.12/0.45 % Vampire exiting
%------------------------------------------------------------------------------