%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : NUM448+1 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n002.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 12:24:21 PM UTC 2026
% Result : CounterSatisfiable 0.14s 0.46s
% Output : FiniteModel 0.14s
% 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_sz00,type,
sz00: $i ).
tff(sz00_definition,axiom,
sz00 = 'fmb_$i_1' ).
tff(declare_sz10,type,
sz10: $i ).
tff(sz10_definition,axiom,
sz10 = 'fmb_$i_1' ).
tff(declare_cS1395,type,
cS1395: $i ).
tff(cS1395_definition,axiom,
cS1395 = 'fmb_$i_2' ).
tff(declare_xS,type,
xS: $i ).
tff(xS_definition,axiom,
xS = 'fmb_$i_2' ).
tff(declare_cS2043,type,
cS2043: $i ).
tff(cS2043_definition,axiom,
cS2043 = 'fmb_$i_2' ).
tff(declare_cS2076,type,
cS2076: $i ).
tff(cS2076_definition,axiom,
cS2076 = 'fmb_$i_1' ).
tff(declare_smndt0,type,
smndt0: $i > $i ).
tff(function_smndt0,axiom,
( ( smndt0('fmb_$i_1') = 'fmb_$i_1' )
& ( smndt0('fmb_$i_2') = 'fmb_$i_2' ) ) ).
tff(declare_sdtpldt0,type,
sdtpldt0: ( $i * $i ) > $i ).
tff(function_sdtpldt0,axiom,
( ( sdtpldt0('fmb_$i_1','fmb_$i_1') = 'fmb_$i_1' )
& ( sdtpldt0('fmb_$i_1','fmb_$i_2') = 'fmb_$i_2' )
& ( sdtpldt0('fmb_$i_2','fmb_$i_1') = 'fmb_$i_2' )
& ( sdtpldt0('fmb_$i_2','fmb_$i_2') = 'fmb_$i_1' ) ) ).
tff(declare_sdtasdt0,type,
sdtasdt0: ( $i * $i ) > $i ).
tff(function_sdtasdt0,axiom,
( ( sdtasdt0('fmb_$i_1','fmb_$i_1') = 'fmb_$i_1' )
& ( sdtasdt0('fmb_$i_1','fmb_$i_2') = 'fmb_$i_1' )
& ( sdtasdt0('fmb_$i_2','fmb_$i_1') = 'fmb_$i_1' )
& ( sdtasdt0('fmb_$i_2','fmb_$i_2') = 'fmb_$i_2' ) ) ).
tff(declare_sdtbsmnsldt0,type,
sdtbsmnsldt0: ( $i * $i ) > $i ).
tff(function_sdtbsmnsldt0,axiom,
( ( sdtbsmnsldt0('fmb_$i_1','fmb_$i_1') = 'fmb_$i_2' )
& ( sdtbsmnsldt0('fmb_$i_1','fmb_$i_2') = 'fmb_$i_2' )
& ( sdtbsmnsldt0('fmb_$i_2','fmb_$i_1') = 'fmb_$i_2' )
& ( sdtbsmnsldt0('fmb_$i_2','fmb_$i_2') = 'fmb_$i_2' ) ) ).
tff(declare_sdtslmnbsdt0,type,
sdtslmnbsdt0: ( $i * $i ) > $i ).
tff(function_sdtslmnbsdt0,axiom,
( ( sdtslmnbsdt0('fmb_$i_1','fmb_$i_1') = 'fmb_$i_2' )
& ( sdtslmnbsdt0('fmb_$i_1','fmb_$i_2') = 'fmb_$i_2' )
& ( sdtslmnbsdt0('fmb_$i_2','fmb_$i_1') = 'fmb_$i_2' )
& ( sdtslmnbsdt0('fmb_$i_2','fmb_$i_2') = 'fmb_$i_2' ) ) ).
tff(declare_sbsmnsldt0,type,
sbsmnsldt0: $i > $i ).
tff(function_sbsmnsldt0,axiom,
( ( sbsmnsldt0('fmb_$i_1') = 'fmb_$i_2' )
& ( sbsmnsldt0('fmb_$i_2') = 'fmb_$i_2' ) ) ).
tff(declare_stldt0,type,
stldt0: $i > $i ).
tff(function_stldt0,axiom,
( ( stldt0('fmb_$i_1') = 'fmb_$i_2' )
& ( stldt0('fmb_$i_2') = 'fmb_$i_2' ) ) ).
tff(declare_szAzrzSzezqlpdtcmdtrp0,type,
szAzrzSzezqlpdtcmdtrp0: ( $i * $i ) > $i ).
tff(function_szAzrzSzezqlpdtcmdtrp0,axiom,
( ( szAzrzSzezqlpdtcmdtrp0('fmb_$i_1','fmb_$i_1') = 'fmb_$i_2' )
& ( szAzrzSzezqlpdtcmdtrp0('fmb_$i_1','fmb_$i_2') = 'fmb_$i_2' )
& ( szAzrzSzezqlpdtcmdtrp0('fmb_$i_2','fmb_$i_1') = 'fmb_$i_2' )
& ( szAzrzSzezqlpdtcmdtrp0('fmb_$i_2','fmb_$i_2') = 'fmb_$i_2' ) ) ).
tff(declare_aInteger0,type,
aInteger0: $i > $o ).
tff(predicate_aInteger0,axiom,
( aInteger0('fmb_$i_1')
& ~ aInteger0('fmb_$i_2') ) ).
tff(declare_aDivisorOf0,type,
aDivisorOf0: ( $i * $i ) > $o ).
tff(predicate_aDivisorOf0,axiom,
( ~ aDivisorOf0('fmb_$i_1','fmb_$i_1')
& ~ aDivisorOf0('fmb_$i_1','fmb_$i_2')
& ~ aDivisorOf0('fmb_$i_2','fmb_$i_1')
& aDivisorOf0('fmb_$i_2','fmb_$i_2') ) ).
tff(declare_sdteqdtlpzmzozddtrp0,type,
sdteqdtlpzmzozddtrp0: ( $i * $i * $i ) > $o ).
tff(predicate_sdteqdtlpzmzozddtrp0,axiom,
( ~ sdteqdtlpzmzozddtrp0('fmb_$i_1','fmb_$i_1','fmb_$i_1')
& sdteqdtlpzmzozddtrp0('fmb_$i_1','fmb_$i_1','fmb_$i_2')
& ~ sdteqdtlpzmzozddtrp0('fmb_$i_1','fmb_$i_2','fmb_$i_1')
& sdteqdtlpzmzozddtrp0('fmb_$i_1','fmb_$i_2','fmb_$i_2')
& ~ sdteqdtlpzmzozddtrp0('fmb_$i_2','fmb_$i_1','fmb_$i_1')
& sdteqdtlpzmzozddtrp0('fmb_$i_2','fmb_$i_1','fmb_$i_2')
& ~ sdteqdtlpzmzozddtrp0('fmb_$i_2','fmb_$i_2','fmb_$i_1')
& sdteqdtlpzmzozddtrp0('fmb_$i_2','fmb_$i_2','fmb_$i_2') ) ).
tff(declare_isPrime0,type,
isPrime0: $i > $o ).
tff(predicate_isPrime0,axiom,
( isPrime0('fmb_$i_1')
& ~ isPrime0('fmb_$i_2') ) ).
tff(declare_aSet0,type,
aSet0: $i > $o ).
tff(predicate_aSet0,axiom,
( ~ aSet0('fmb_$i_1')
& ~ aSet0('fmb_$i_2') ) ).
tff(declare_aElementOf0,type,
aElementOf0: ( $i * $i ) > $o ).
tff(predicate_aElementOf0,axiom,
( ~ aElementOf0('fmb_$i_1','fmb_$i_1')
& ~ aElementOf0('fmb_$i_1','fmb_$i_2')
& ~ aElementOf0('fmb_$i_2','fmb_$i_1')
& ~ aElementOf0('fmb_$i_2','fmb_$i_2') ) ).
tff(declare_aSubsetOf0,type,
aSubsetOf0: ( $i * $i ) > $o ).
tff(predicate_aSubsetOf0,axiom,
( aSubsetOf0('fmb_$i_1','fmb_$i_1')
& ~ aSubsetOf0('fmb_$i_1','fmb_$i_2')
& aSubsetOf0('fmb_$i_2','fmb_$i_1')
& ~ aSubsetOf0('fmb_$i_2','fmb_$i_2') ) ).
tff(declare_isFinite0,type,
isFinite0: $i > $o ).
tff(predicate_isFinite0,axiom,
( ~ isFinite0('fmb_$i_1')
& ~ isFinite0('fmb_$i_2') ) ).
tff(declare_isOpen0,type,
isOpen0: $i > $o ).
tff(predicate_isOpen0,axiom,
( ~ isOpen0('fmb_$i_1')
& ~ isOpen0('fmb_$i_2') ) ).
tff(declare_isClosed0,type,
isClosed0: $i > $o ).
tff(predicate_isClosed0,axiom,
( isClosed0('fmb_$i_1')
& isClosed0('fmb_$i_2') ) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM448+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.37 % Computer : n002.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
% 0.14/0.37 % CPULimit : 300
% 0.14/0.37 % WCLimit : 300
% 0.14/0.37 % DateTime : Sun Sep 27 20:00:22 UTC 2026
% 0.14/0.38 % CPUTime :
% 0.14/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.14/0.41 Running first-order model finding
% 0.14/0.41 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
% 0.14/0.46 % (3840446)Will run a generic schedule for satisfiability detection.
% 0.14/0.46 % (3840457)dis+10_1_sil=32000:sp=arity:random_seed=100599271:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.14/0.46 % (3840454)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=925067048_2999 on theBenchmark for (2999ds/0Mi)
% 0.14/0.46 % (3840458)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=822726117:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.14/0.46 % (3840456)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1324334826:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.14/0.46 % (3840461)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2458435701:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.14/0.46 % (3840460)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1572472195:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.14/0.46 % (3840455)% WARNING: option uhcvi not known.
% 0.14/0.46 % (3840455)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1019327425:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.14/0.46 % TRYING [1]
% 0.14/0.46 % TRYING [2]
% 0.14/0.46 % Finite Model Found!
% 0.14/0.46 % SZS status CounterSatisfiable for theBenchmark
% 0.14/0.46 % (3840454) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3840446-3840454"...
% 0.14/0.46 % (3840454)...printing done.
% 0.14/0.46 % SZS output start FiniteModel for theBenchmark
% See solution above
% 0.14/0.46 % (3840454)------------------------------
% 0.14/0.46 % (3840454)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.14/0.46 % (3840454)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.14/0.46 % (3840454)CaDiCaL version: 2.1.3
% 0.14/0.46 % (3840454)Termination reason: Satisfiable
% 0.14/0.46 % (3840454)Time elapsed: 0.015 s
% 0.14/0.46 % (3840454)Peak memory usage: 12 MB
% 0.14/0.46 % (3840454)Instructions burned: 27 (million)
% 0.14/0.46 % (3840446)Success in time 0.042 s
% 0.14/0.46 % Vampire exiting
%------------------------------------------------------------------------------