%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : PUZ054-10 : TPTP v9.3.1. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n003.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 12:32:05 PM UTC 2026
% Result : Satisfiable 0.15s 0.49s
% Output : FiniteModel 0.15s
% 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_n0,type,
n0: $i ).
tff(n0_definition,axiom,
n0 = 'fmb_$i_1' ).
tff(declare_true,type,
true: $i ).
tff(true_definition,axiom,
true = 'fmb_$i_1' ).
tff(declare_ifeq,type,
ifeq: ( $i * $i * $i * $i ) > $i ).
tff(function_ifeq,axiom,
( ( ifeq('fmb_$i_1','fmb_$i_1','fmb_$i_1','fmb_$i_1') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_1','fmb_$i_1','fmb_$i_1','fmb_$i_2') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_1','fmb_$i_1','fmb_$i_2','fmb_$i_1') = 'fmb_$i_2' )
& ( ifeq('fmb_$i_1','fmb_$i_1','fmb_$i_2','fmb_$i_2') = 'fmb_$i_2' )
& ( ifeq('fmb_$i_1','fmb_$i_2','fmb_$i_1','fmb_$i_1') = 'fmb_$i_2' )
& ( ifeq('fmb_$i_1','fmb_$i_2','fmb_$i_1','fmb_$i_2') = 'fmb_$i_2' )
& ( ifeq('fmb_$i_1','fmb_$i_2','fmb_$i_2','fmb_$i_1') = 'fmb_$i_2' )
& ( ifeq('fmb_$i_1','fmb_$i_2','fmb_$i_2','fmb_$i_2') = 'fmb_$i_2' )
& ( ifeq('fmb_$i_2','fmb_$i_1','fmb_$i_1','fmb_$i_1') = 'fmb_$i_2' )
& ( ifeq('fmb_$i_2','fmb_$i_1','fmb_$i_1','fmb_$i_2') = 'fmb_$i_2' )
& ( ifeq('fmb_$i_2','fmb_$i_1','fmb_$i_2','fmb_$i_1') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_2','fmb_$i_1','fmb_$i_2','fmb_$i_2') = 'fmb_$i_2' )
& ( ifeq('fmb_$i_2','fmb_$i_2','fmb_$i_1','fmb_$i_1') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_2','fmb_$i_2','fmb_$i_1','fmb_$i_2') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_2','fmb_$i_2','fmb_$i_2','fmb_$i_1') = 'fmb_$i_2' )
& ( ifeq('fmb_$i_2','fmb_$i_2','fmb_$i_2','fmb_$i_2') = 'fmb_$i_2' ) ) ).
tff(declare_s,type,
s: $i > $i ).
tff(function_s,axiom,
( ( s('fmb_$i_1') = 'fmb_$i_2' )
& ( s('fmb_$i_2') = 'fmb_$i_1' ) ) ).
tff(declare_p,type,
p: ( $i * $i ) > $i ).
tff(function_p,axiom,
( ( p('fmb_$i_1','fmb_$i_1') = 'fmb_$i_1' )
& ( p('fmb_$i_1','fmb_$i_2') = 'fmb_$i_1' )
& ( p('fmb_$i_2','fmb_$i_1') = 'fmb_$i_2' )
& ( p('fmb_$i_2','fmb_$i_2') = 'fmb_$i_2' ) ) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : PUZ054-10 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.10/0.39 % Computer : n003.cluster.edu
% 0.10/0.39 % Model : x86_64 x86_64
% 0.10/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.39 % Memory : 8046.5625MB
% 0.10/0.39 % OS : Linux 6.8.0-71-generic
% 0.10/0.39 % CPULimit : 300
% 0.10/0.39 % WCLimit : 300
% 0.10/0.39 % DateTime : Sun Sep 27 22:38:41 UTC 2026
% 0.10/0.39 % CPUTime :
% 0.10/0.40 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.10/0.43 Running first-order model finding
% 0.10/0.43 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
% 0.15/0.49 % (986969)Will run a generic schedule for satisfiability detection.
% 0.15/0.49 % (986979)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2911955585:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.15/0.49 % (986975)% WARNING: option uhcvi not known.
% 0.15/0.49 % (986974)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2317552667_2999 on theBenchmark for (2999ds/0Mi)
% 0.15/0.49 % (986975)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=926996143:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.15/0.49 % (986976)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=261484919:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.15/0.49 % (986977)dis+10_1_sil=32000:sp=arity:random_seed=898223346:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.15/0.49 % (986978)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2134051892:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.15/0.49 % (986980)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1588963690:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.15/0.49 % TRYING [1]
% 0.15/0.49 % TRYING [2]
% 0.15/0.49 % Finite Model Found!
% 0.15/0.49 % SZS status Satisfiable for theBenchmark
% 0.15/0.49 % (986974) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-986969-986974"...
% 0.15/0.49 % (986974)...printing done.
% 0.15/0.49 % SZS output start FiniteModel for theBenchmark
% See solution above
% 0.15/0.49 % (986974)------------------------------
% 0.15/0.49 % (986974)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.15/0.49 % (986974)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.15/0.49 % (986974)CaDiCaL version: 2.1.3
% 0.15/0.49 % (986974)Termination reason: Satisfiable
% 0.15/0.49 % (986974)Time elapsed: 0.003 s
% 0.15/0.49 % (986974)Peak memory usage: 11 MB
% 0.15/0.49 % (986974)Instructions burned: 5 (million)
% 0.15/0.49 % (986969)Success in time 0.049 s
% 0.15/0.49 % Vampire exiting
%------------------------------------------------------------------------------