%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : NUM441+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 : n011.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 12:24:19 PM UTC 2026
% Result : CounterSatisfiable 0.17s 0.52s
% Output : FiniteModel 0.17s
% 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_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_xA,type,
xA: $i ).
tff(xA_definition,axiom,
xA = 'fmb_$i_2' ).
tff(declare_xB,type,
xB: $i ).
tff(xB_definition,axiom,
xB = 'fmb_$i_2' ).
tff(declare_smndt0,type,
smndt0: $i > $i ).
tff(function_smndt0,axiom,
( ( smndt0('fmb_$i_1') = 'fmb_$i_1' )
& ( smndt0('fmb_$i_2') = 'fmb_$i_2' )
& ( smndt0('fmb_$i_3') = 'fmb_$i_3' ) ) ).
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_1','fmb_$i_3') = 'fmb_$i_3' )
& ( sdtpldt0('fmb_$i_2','fmb_$i_1') = 'fmb_$i_2' )
& ( sdtpldt0('fmb_$i_2','fmb_$i_2') = 'fmb_$i_3' )
& ( sdtpldt0('fmb_$i_2','fmb_$i_3') = 'fmb_$i_3' )
& ( sdtpldt0('fmb_$i_3','fmb_$i_1') = 'fmb_$i_3' )
& ( sdtpldt0('fmb_$i_3','fmb_$i_2') = 'fmb_$i_3' )
& ( sdtpldt0('fmb_$i_3','fmb_$i_3') = 'fmb_$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_1','fmb_$i_3') = 'fmb_$i_1' )
& ( sdtasdt0('fmb_$i_2','fmb_$i_1') = 'fmb_$i_1' )
& ( sdtasdt0('fmb_$i_2','fmb_$i_2') = 'fmb_$i_2' )
& ( sdtasdt0('fmb_$i_2','fmb_$i_3') = 'fmb_$i_3' )
& ( sdtasdt0('fmb_$i_3','fmb_$i_1') = 'fmb_$i_1' )
& ( sdtasdt0('fmb_$i_3','fmb_$i_2') = 'fmb_$i_3' )
& ( sdtasdt0('fmb_$i_3','fmb_$i_3') = 'fmb_$i_3' ) ) ).
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_1','fmb_$i_3') = 'fmb_$i_2' )
& ( sdtbsmnsldt0('fmb_$i_2','fmb_$i_1') = 'fmb_$i_2' )
& ( sdtbsmnsldt0('fmb_$i_2','fmb_$i_2') = 'fmb_$i_1' )
& ( sdtbsmnsldt0('fmb_$i_2','fmb_$i_3') = 'fmb_$i_1' )
& ( sdtbsmnsldt0('fmb_$i_3','fmb_$i_1') = 'fmb_$i_2' )
& ( sdtbsmnsldt0('fmb_$i_3','fmb_$i_2') = 'fmb_$i_1' )
& ( sdtbsmnsldt0('fmb_$i_3','fmb_$i_3') = 'fmb_$i_3' ) ) ).
tff(declare_sdtslmnbsdt0,type,
sdtslmnbsdt0: ( $i * $i ) > $i ).
tff(function_sdtslmnbsdt0,axiom,
( ( sdtslmnbsdt0('fmb_$i_1','fmb_$i_1') = 'fmb_$i_1' )
& ( sdtslmnbsdt0('fmb_$i_1','fmb_$i_2') = 'fmb_$i_1' )
& ( sdtslmnbsdt0('fmb_$i_1','fmb_$i_3') = 'fmb_$i_3' )
& ( sdtslmnbsdt0('fmb_$i_2','fmb_$i_1') = 'fmb_$i_1' )
& ( sdtslmnbsdt0('fmb_$i_2','fmb_$i_2') = 'fmb_$i_1' )
& ( sdtslmnbsdt0('fmb_$i_2','fmb_$i_3') = 'fmb_$i_3' )
& ( sdtslmnbsdt0('fmb_$i_3','fmb_$i_1') = 'fmb_$i_3' )
& ( sdtslmnbsdt0('fmb_$i_3','fmb_$i_2') = 'fmb_$i_3' )
& ( sdtslmnbsdt0('fmb_$i_3','fmb_$i_3') = 'fmb_$i_3' ) ) ).
tff(declare_sbsmnsldt0,type,
sbsmnsldt0: $i > $i ).
tff(function_sbsmnsldt0,axiom,
( ( sbsmnsldt0('fmb_$i_1') = 'fmb_$i_3' )
& ( sbsmnsldt0('fmb_$i_2') = 'fmb_$i_3' )
& ( sbsmnsldt0('fmb_$i_3') = 'fmb_$i_3' ) ) ).
tff(declare_stldt0,type,
stldt0: $i > $i ).
tff(function_stldt0,axiom,
( ( stldt0('fmb_$i_1') = 'fmb_$i_3' )
& ( stldt0('fmb_$i_2') = 'fmb_$i_3' )
& ( stldt0('fmb_$i_3') = 'fmb_$i_1' ) ) ).
tff(declare_szAzrzSzezqlpdtcmdtrp0,type,
szAzrzSzezqlpdtcmdtrp0: ( $i * $i ) > $i ).
tff(function_szAzrzSzezqlpdtcmdtrp0,axiom,
( ( szAzrzSzezqlpdtcmdtrp0('fmb_$i_1','fmb_$i_1') = 'fmb_$i_3' )
& ( szAzrzSzezqlpdtcmdtrp0('fmb_$i_1','fmb_$i_2') = 'fmb_$i_3' )
& ( szAzrzSzezqlpdtcmdtrp0('fmb_$i_1','fmb_$i_3') = 'fmb_$i_3' )
& ( szAzrzSzezqlpdtcmdtrp0('fmb_$i_2','fmb_$i_1') = 'fmb_$i_3' )
& ( szAzrzSzezqlpdtcmdtrp0('fmb_$i_2','fmb_$i_2') = 'fmb_$i_3' )
& ( szAzrzSzezqlpdtcmdtrp0('fmb_$i_2','fmb_$i_3') = 'fmb_$i_3' )
& ( szAzrzSzezqlpdtcmdtrp0('fmb_$i_3','fmb_$i_1') = 'fmb_$i_3' )
& ( szAzrzSzezqlpdtcmdtrp0('fmb_$i_3','fmb_$i_2') = 'fmb_$i_3' )
& ( szAzrzSzezqlpdtcmdtrp0('fmb_$i_3','fmb_$i_3') = 'fmb_$i_3' ) ) ).
tff(declare_aInteger0,type,
aInteger0: $i > $o ).
tff(predicate_aInteger0,axiom,
( aInteger0('fmb_$i_1')
& ~ aInteger0('fmb_$i_2')
& ~ aInteger0('fmb_$i_3') ) ).
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_1','fmb_$i_3')
& ~ aDivisorOf0('fmb_$i_2','fmb_$i_1')
& aDivisorOf0('fmb_$i_2','fmb_$i_2')
& ~ aDivisorOf0('fmb_$i_2','fmb_$i_3')
& ~ aDivisorOf0('fmb_$i_3','fmb_$i_1')
& ~ aDivisorOf0('fmb_$i_3','fmb_$i_2')
& aDivisorOf0('fmb_$i_3','fmb_$i_3') ) ).
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_$i_1','fmb_$i_3')
& sdteqdtlpzmzozddtrp0('fmb_$i_1','fmb_$i_2','fmb_$i_1')
& sdteqdtlpzmzozddtrp0('fmb_$i_1','fmb_$i_2','fmb_$i_2')
& sdteqdtlpzmzozddtrp0('fmb_$i_1','fmb_$i_2','fmb_$i_3')
& sdteqdtlpzmzozddtrp0('fmb_$i_1','fmb_$i_3','fmb_$i_1')
& sdteqdtlpzmzozddtrp0('fmb_$i_1','fmb_$i_3','fmb_$i_2')
& sdteqdtlpzmzozddtrp0('fmb_$i_1','fmb_$i_3','fmb_$i_3')
& 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_1','fmb_$i_3')
& sdteqdtlpzmzozddtrp0('fmb_$i_2','fmb_$i_2','fmb_$i_1')
& sdteqdtlpzmzozddtrp0('fmb_$i_2','fmb_$i_2','fmb_$i_2')
& sdteqdtlpzmzozddtrp0('fmb_$i_2','fmb_$i_2','fmb_$i_3')
& sdteqdtlpzmzozddtrp0('fmb_$i_2','fmb_$i_3','fmb_$i_1')
& sdteqdtlpzmzozddtrp0('fmb_$i_2','fmb_$i_3','fmb_$i_2')
& sdteqdtlpzmzozddtrp0('fmb_$i_2','fmb_$i_3','fmb_$i_3')
& sdteqdtlpzmzozddtrp0('fmb_$i_3','fmb_$i_1','fmb_$i_1')
& sdteqdtlpzmzozddtrp0('fmb_$i_3','fmb_$i_1','fmb_$i_2')
& sdteqdtlpzmzozddtrp0('fmb_$i_3','fmb_$i_1','fmb_$i_3')
& sdteqdtlpzmzozddtrp0('fmb_$i_3','fmb_$i_2','fmb_$i_1')
& sdteqdtlpzmzozddtrp0('fmb_$i_3','fmb_$i_2','fmb_$i_2')
& sdteqdtlpzmzozddtrp0('fmb_$i_3','fmb_$i_2','fmb_$i_3')
& sdteqdtlpzmzozddtrp0('fmb_$i_3','fmb_$i_3','fmb_$i_1')
& sdteqdtlpzmzozddtrp0('fmb_$i_3','fmb_$i_3','fmb_$i_2')
& sdteqdtlpzmzozddtrp0('fmb_$i_3','fmb_$i_3','fmb_$i_3') ) ).
tff(declare_isPrime0,type,
isPrime0: $i > $o ).
tff(predicate_isPrime0,axiom,
( ~ isPrime0('fmb_$i_1')
& ~ isPrime0('fmb_$i_2')
& isPrime0('fmb_$i_3') ) ).
tff(declare_aSet0,type,
aSet0: $i > $o ).
tff(predicate_aSet0,axiom,
( aSet0('fmb_$i_1')
& ~ aSet0('fmb_$i_2')
& aSet0('fmb_$i_3') ) ).
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_1','fmb_$i_3')
& ~ aElementOf0('fmb_$i_2','fmb_$i_1')
& ~ aElementOf0('fmb_$i_2','fmb_$i_2')
& ~ aElementOf0('fmb_$i_2','fmb_$i_3')
& ~ aElementOf0('fmb_$i_3','fmb_$i_1')
& ~ aElementOf0('fmb_$i_3','fmb_$i_2')
& ~ aElementOf0('fmb_$i_3','fmb_$i_3') ) ).
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_1','fmb_$i_3')
& ~ aSubsetOf0('fmb_$i_2','fmb_$i_1')
& aSubsetOf0('fmb_$i_2','fmb_$i_2')
& ~ aSubsetOf0('fmb_$i_2','fmb_$i_3')
& aSubsetOf0('fmb_$i_3','fmb_$i_1')
& aSubsetOf0('fmb_$i_3','fmb_$i_2')
& aSubsetOf0('fmb_$i_3','fmb_$i_3') ) ).
tff(declare_isFinite0,type,
isFinite0: $i > $o ).
tff(predicate_isFinite0,axiom,
( isFinite0('fmb_$i_1')
& isFinite0('fmb_$i_2')
& isFinite0('fmb_$i_3') ) ).
tff(declare_isOpen0,type,
isOpen0: $i > $o ).
tff(predicate_isOpen0,axiom,
( ~ isOpen0('fmb_$i_1')
& ~ isOpen0('fmb_$i_2')
& isOpen0('fmb_$i_3') ) ).
tff(declare_isClosed0,type,
isClosed0: $i > $o ).
tff(predicate_isClosed0,axiom,
( ~ isClosed0('fmb_$i_1')
& isClosed0('fmb_$i_2')
& ~ isClosed0('fmb_$i_3') ) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM441+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.13/0.40 % Computer : n011.cluster.edu
% 0.13/0.40 % Model : x86_64 x86_64
% 0.13/0.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.40 % Memory : 8046.5625MB
% 0.13/0.40 % OS : Linux 6.8.0-71-generic
% 0.13/0.40 % CPULimit : 300
% 0.13/0.40 % WCLimit : 300
% 0.13/0.40 % DateTime : Sun Sep 27 19:56:01 UTC 2026
% 0.13/0.40 % CPUTime :
% 0.13/0.40 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.13/0.43 Running first-order model finding
% 0.13/0.43 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
% 0.17/0.52 % (2719288)Will run a generic schedule for satisfiability detection.
% 0.17/0.52 % (2719298)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3838914903:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.17/0.52 % (2719294)% WARNING: option uhcvi not known.
% 0.17/0.52 % (2719293)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2675924775_2999 on theBenchmark for (2999ds/0Mi)
% 0.17/0.52 % (2719294)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1661762448:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.17/0.52 % (2719296)dis+10_1_sil=32000:sp=arity:random_seed=710465671:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.17/0.52 % (2719295)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=154094658:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.17/0.52 % (2719297)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3986749715:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.17/0.52 % (2719299)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=940322286:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.17/0.52 % TRYING [1]
% 0.17/0.52 % TRYING [2]
% 0.17/0.52 % TRYING [3]
% 0.17/0.52 % (2719298)Instruction limit reached!
% 0.17/0.52 % (2719298)------------------------------
% 0.17/0.52 % (2719298)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.17/0.52 % (2719298)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.17/0.52 % (2719298)CaDiCaL version: 2.1.3
% 0.17/0.52 % (2719298)Termination reason: Instruction limit
% 0.17/0.52 % (2719298)Termination phase: Saturation
% 0.17/0.52 % (2719298)Time elapsed: 0.039 s
% 0.17/0.52 % (2719298)Peak memory usage: 13 MB
% 0.17/0.52 % (2719298)Instructions burned: 135 (million)
% 0.17/0.52 % Finite Model Found!
% 0.17/0.52 % SZS status CounterSatisfiable for theBenchmark
% 0.17/0.52 % (2719293) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2719288-2719293"...
% 0.17/0.52 % (2719293)...printing done.
% 0.17/0.52 % SZS output start FiniteModel for theBenchmark
% See solution above
% 0.17/0.52 % (2719293)------------------------------
% 0.17/0.52 % (2719293)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.17/0.52 % (2719293)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.17/0.52 % (2719293)CaDiCaL version: 2.1.3
% 0.17/0.52 % (2719293)Termination reason: Satisfiable
% 0.17/0.52 % (2719293)Time elapsed: 0.035 s
% 0.17/0.52 % (2719293)Peak memory usage: 14 MB
% 0.17/0.52 % (2719293)Instructions burned: 75 (million)
% 0.17/0.52 % (2719288)Success in time 0.075 s
% 0.17/0.52 % Vampire exiting
%------------------------------------------------------------------------------