%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : BOO019-1 : TPTP v9.3.1. Released v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n026.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 09:36:11 AM UTC 2026
% Result : Satisfiable 0.35s 0.40s
% Output : FiniteModel 0.35s
% 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_y,type,
y: $i ).
tff(y_definition,axiom,
y = 'fmb_$i_1' ).
tff(declare_x,type,
x: $i ).
tff(x_definition,axiom,
x = 'fmb_$i_2' ).
tff(declare_multiply,type,
multiply: ( $i * $i * $i ) > $i ).
tff(function_multiply,axiom,
( ( multiply('fmb_$i_1','fmb_$i_1','fmb_$i_1') = 'fmb_$i_1' )
& ( multiply('fmb_$i_1','fmb_$i_1','fmb_$i_2') = 'fmb_$i_1' )
& ( multiply('fmb_$i_1','fmb_$i_1','fmb_$i_3') = 'fmb_$i_1' )
& ( multiply('fmb_$i_1','fmb_$i_2','fmb_$i_1') = 'fmb_$i_1' )
& ( multiply('fmb_$i_1','fmb_$i_2','fmb_$i_2') = 'fmb_$i_1' )
& ( multiply('fmb_$i_1','fmb_$i_2','fmb_$i_3') = 'fmb_$i_1' )
& ( multiply('fmb_$i_1','fmb_$i_3','fmb_$i_1') = 'fmb_$i_1' )
& ( multiply('fmb_$i_1','fmb_$i_3','fmb_$i_2') = 'fmb_$i_2' )
& ( multiply('fmb_$i_1','fmb_$i_3','fmb_$i_3') = 'fmb_$i_3' )
& ( multiply('fmb_$i_2','fmb_$i_1','fmb_$i_1') = 'fmb_$i_2' )
& ( multiply('fmb_$i_2','fmb_$i_1','fmb_$i_2') = 'fmb_$i_2' )
& ( multiply('fmb_$i_2','fmb_$i_1','fmb_$i_3') = 'fmb_$i_2' )
& ( multiply('fmb_$i_2','fmb_$i_2','fmb_$i_1') = 'fmb_$i_2' )
& ( multiply('fmb_$i_2','fmb_$i_2','fmb_$i_2') = 'fmb_$i_2' )
& ( multiply('fmb_$i_2','fmb_$i_2','fmb_$i_3') = 'fmb_$i_2' )
& ( multiply('fmb_$i_2','fmb_$i_3','fmb_$i_1') = 'fmb_$i_2' )
& ( multiply('fmb_$i_2','fmb_$i_3','fmb_$i_2') = 'fmb_$i_2' )
& ( multiply('fmb_$i_2','fmb_$i_3','fmb_$i_3') = 'fmb_$i_2' )
& ( multiply('fmb_$i_3','fmb_$i_1','fmb_$i_1') = 'fmb_$i_1' )
& ( multiply('fmb_$i_3','fmb_$i_1','fmb_$i_2') = 'fmb_$i_2' )
& ( multiply('fmb_$i_3','fmb_$i_1','fmb_$i_3') = 'fmb_$i_3' )
& ( multiply('fmb_$i_3','fmb_$i_2','fmb_$i_1') = 'fmb_$i_1' )
& ( multiply('fmb_$i_3','fmb_$i_2','fmb_$i_2') = 'fmb_$i_2' )
& ( multiply('fmb_$i_3','fmb_$i_2','fmb_$i_3') = 'fmb_$i_3' )
& ( multiply('fmb_$i_3','fmb_$i_3','fmb_$i_1') = 'fmb_$i_3' )
& ( multiply('fmb_$i_3','fmb_$i_3','fmb_$i_2') = 'fmb_$i_3' )
& ( multiply('fmb_$i_3','fmb_$i_3','fmb_$i_3') = 'fmb_$i_3' ) ) ).
tff(declare_inverse,type,
inverse: $i > $i ).
tff(function_inverse,axiom,
( ( inverse('fmb_$i_1') = 'fmb_$i_3' )
& ( inverse('fmb_$i_2') = 'fmb_$i_3' )
& ( inverse('fmb_$i_3') = 'fmb_$i_1' ) ) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : BOO019-1 : TPTP v9.3.1. Released v1.2.0.
% 0.00/0.08 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.11/0.29 % Computer : n026.cluster.edu
% 0.11/0.29 % Model : x86_64 x86_64
% 0.11/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.29 % Memory : 8046.5625MB
% 0.11/0.29 % OS : Linux 6.8.0-71-generic
% 0.11/0.29 % CPULimit : 300
% 0.11/0.29 % WCLimit : 300
% 0.11/0.29 % DateTime : Mon Sep 28 21:07:12 UTC 2026
% 0.11/0.29 % CPUTime :
% 0.11/0.29 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.31/0.35 Running first-order model finding
% 0.31/0.35 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
% 0.35/0.40 % (76174)Will run a generic schedule for satisfiability detection.
% 0.35/0.40 % (76179)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3040203114_2999 on theBenchmark for (2999ds/0Mi)
% 0.35/0.40 % TRYING [1]
% 0.35/0.40 % TRYING [2]
% 0.35/0.40 % TRYING [3]
% 0.35/0.40 % (76180)% WARNING: option uhcvi not known.
% 0.35/0.40 % Finite Model Found!
% 0.35/0.40 % SZS status Satisfiable for theBenchmark
% 0.35/0.40 % (76179) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-76174-76179"...
% 0.35/0.40 % (76179)...printing done.
% 0.35/0.40 % SZS output start FiniteModel for theBenchmark
% See solution above
% 0.35/0.40 % (76179)------------------------------
% 0.35/0.40 % (76179)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.35/0.40 % (76179)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.35/0.40 % (76179)CaDiCaL version: 2.1.3
% 0.35/0.40 % (76179)Termination reason: Satisfiable
% 0.35/0.40 % (76179)Time elapsed: 0.012 s
% 0.35/0.40 % (76179)Peak memory usage: 12 MB
% 0.35/0.40 % (76179)Instructions burned: 28 (million)
% 0.35/0.40 % (76174)Success in time 0.043 s
% 0.35/0.40 % Vampire exiting
%------------------------------------------------------------------------------