%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : LCL338-3 : TPTP v9.3.1. Released v2.3.0.
% 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 11:58:23 AM UTC 2026
% Result : Satisfiable 0.31s 0.61s
% Output : FiniteModel 0.31s
% 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_p,type,
p: $i ).
tff(p_definition,axiom,
p = 'fmb_$i_1' ).
tff(declare_q,type,
q: $i ).
tff(q_definition,axiom,
q = 'fmb_$i_2' ).
tff(declare_r,type,
r: $i ).
tff(r_definition,axiom,
r = 'fmb_$i_1' ).
tff(declare_or,type,
or: ( $i * $i ) > $i ).
tff(function_or,axiom,
( ( or('fmb_$i_1','fmb_$i_1') = 'fmb_$i_1' )
& ( or('fmb_$i_1','fmb_$i_2') = 'fmb_$i_2' )
& ( or('fmb_$i_2','fmb_$i_1') = 'fmb_$i_2' )
& ( or('fmb_$i_2','fmb_$i_2') = 'fmb_$i_2' ) ) ).
tff(declare_implies,type,
implies: ( $i * $i ) > $i ).
tff(function_implies,axiom,
( ( implies('fmb_$i_1','fmb_$i_1') = 'fmb_$i_2' )
& ( implies('fmb_$i_1','fmb_$i_2') = 'fmb_$i_2' )
& ( implies('fmb_$i_2','fmb_$i_1') = 'fmb_$i_1' )
& ( implies('fmb_$i_2','fmb_$i_2') = 'fmb_$i_2' ) ) ).
tff(declare_not,type,
not: $i > $i ).
tff(function_not,axiom,
( ( not('fmb_$i_1') = 'fmb_$i_2' )
& ( not('fmb_$i_2') = 'fmb_$i_1' ) ) ).
tff(declare_and,type,
and: ( $i * $i ) > $i ).
tff(function_and,axiom,
( ( and('fmb_$i_1','fmb_$i_1') = 'fmb_$i_1' )
& ( and('fmb_$i_1','fmb_$i_2') = 'fmb_$i_1' )
& ( and('fmb_$i_2','fmb_$i_1') = 'fmb_$i_1' )
& ( and('fmb_$i_2','fmb_$i_2') = 'fmb_$i_2' ) ) ).
tff(declare_equivalent,type,
equivalent: ( $i * $i ) > $i ).
tff(function_equivalent,axiom,
( ( equivalent('fmb_$i_1','fmb_$i_1') = 'fmb_$i_2' )
& ( equivalent('fmb_$i_1','fmb_$i_2') = 'fmb_$i_1' )
& ( equivalent('fmb_$i_2','fmb_$i_1') = 'fmb_$i_1' )
& ( equivalent('fmb_$i_2','fmb_$i_2') = 'fmb_$i_2' ) ) ).
tff(declare_axiom,type,
axiom: $i > $o ).
tff(predicate_axiom,axiom,
( ~ axiom('fmb_$i_1')
& axiom('fmb_$i_2') ) ).
tff(declare_theorem,type,
theorem: $i > $o ).
tff(predicate_theorem,axiom,
( ~ theorem('fmb_$i_1')
& theorem('fmb_$i_2') ) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : LCL338-3 : TPTP v9.3.1. Released v2.3.0.
% 0.00/0.09 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.21/0.48 % Computer : n019.cluster.edu
% 0.21/0.48 % Model : x86_64 x86_64
% 0.21/0.48 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.21/0.48 % Memory : 8046.5625MB
% 0.21/0.48 % OS : Linux 6.8.0-71-generic
% 0.21/0.48 % CPULimit : 300
% 0.21/0.48 % WCLimit : 300
% 0.21/0.48 % DateTime : Sun Sep 27 15:35:34 UTC 2026
% 0.21/0.48 % CPUTime :
% 0.21/0.48 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.26/0.54 Running first-order model finding
% 0.26/0.54 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
% 0.31/0.61 % (3217349)Will run a generic schedule for satisfiability detection.
% 0.31/0.61 % (3217358)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3147029344:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.31/0.61 % (3217355)% WARNING: option uhcvi not known.
% 0.31/0.61 % (3217355)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=211718798:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.31/0.61 % (3217354)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2074080815_2999 on theBenchmark for (2999ds/0Mi)
% 0.31/0.61 % (3217356)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1889286660:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.31/0.61 % (3217357)dis+10_1_sil=32000:sp=arity:random_seed=3250163844:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.31/0.61 % (3217359)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=509413684:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.31/0.61 % (3217360)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=34134439:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.31/0.61 % TRYING [1]
% 0.31/0.61 % TRYING [2]
% 0.31/0.61 % Finite Model Found!
% 0.31/0.61 % SZS status Satisfiable for theBenchmark
% 0.31/0.61 % (3217354) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3217349-3217354"...
% 0.31/0.61 % (3217354)...printing done.
% 0.31/0.61 % SZS output start FiniteModel for theBenchmark
% See solution above
% 0.31/0.61 % (3217354)------------------------------
% 0.31/0.61 % (3217354)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.31/0.61 % (3217354)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.31/0.61 % (3217354)CaDiCaL version: 2.1.3
% 0.31/0.61 % (3217354)Termination reason: Satisfiable
% 0.31/0.61 % (3217354)Time elapsed: 0.006 s
% 0.31/0.61 % (3217354)Peak memory usage: 11 MB
% 0.31/0.61 % (3217354)Instructions burned: 5 (million)
% 0.31/0.61 % (3217349)Success in time 0.059 s
% 0.31/0.61 % Vampire exiting
%------------------------------------------------------------------------------