%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SYO850+1 : TPTP v9.3.1. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n010.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 02:32:38 PM UTC 2026
% Result : CounterSatisfiable 0.20s 0.28s
% Output : FiniteModel 0.20s
% 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_a3,type,
a3: $i ).
tff(a3_definition,axiom,
a3 = 'fmb_$i_1' ).
tff(declare_a0,type,
a0: $i ).
tff(a0_definition,axiom,
a0 = 'fmb_$i_2' ).
tff(declare_a1,type,
a1: $i ).
tff(a1_definition,axiom,
a1 = 'fmb_$i_3' ).
tff(declare_a2,type,
a2: $i ).
tff(a2_definition,axiom,
a2 = 'fmb_$i_1' ).
tff(declare_a4,type,
a4: $i ).
tff(a4_definition,axiom,
a4 = 'fmb_$i_3' ).
tff(declare_aun,type,
aun: ( $i * $i ) > $i ).
tff(function_aun,axiom,
( ( aun('fmb_$i_1','fmb_$i_1') = 'fmb_$i_1' )
& ( aun('fmb_$i_1','fmb_$i_2') = 'fmb_$i_2' )
& ( aun('fmb_$i_1','fmb_$i_3') = 'fmb_$i_3' )
& ( aun('fmb_$i_2','fmb_$i_1') = 'fmb_$i_2' )
& ( aun('fmb_$i_2','fmb_$i_2') = 'fmb_$i_1' )
& ( aun('fmb_$i_2','fmb_$i_3') = 'fmb_$i_2' )
& ( aun('fmb_$i_3','fmb_$i_1') = 'fmb_$i_1' )
& ( aun('fmb_$i_3','fmb_$i_2') = 'fmb_$i_3' )
& ( aun('fmb_$i_3','fmb_$i_3') = 'fmb_$i_2' ) ) ).
tff(declare_asing,type,
asing: $i > $i ).
tff(function_asing,axiom,
( ( asing('fmb_$i_1') = 'fmb_$i_3' )
& ( asing('fmb_$i_2') = 'fmb_$i_1' )
& ( asing('fmb_$i_3') = 'fmb_$i_2' ) ) ).
tff(declare_asm,type,
asm: ( $i * $i ) > $i ).
tff(function_asm,axiom,
( ( asm('fmb_$i_1','fmb_$i_1') = 'fmb_$i_3' )
& ( asm('fmb_$i_1','fmb_$i_2') = 'fmb_$i_1' )
& ( asm('fmb_$i_1','fmb_$i_3') = 'fmb_$i_3' )
& ( asm('fmb_$i_2','fmb_$i_1') = 'fmb_$i_3' )
& ( asm('fmb_$i_2','fmb_$i_2') = 'fmb_$i_1' )
& ( asm('fmb_$i_2','fmb_$i_3') = 'fmb_$i_2' )
& ( asm('fmb_$i_3','fmb_$i_1') = 'fmb_$i_3' )
& ( asm('fmb_$i_3','fmb_$i_2') = 'fmb_$i_3' )
& ( asm('fmb_$i_3','fmb_$i_3') = 'fmb_$i_1' ) ) ).
tff(declare_aint,type,
aint: ( $i * $i ) > $i ).
tff(function_aint,axiom,
( ( aint('fmb_$i_1','fmb_$i_1') = 'fmb_$i_1' )
& ( aint('fmb_$i_1','fmb_$i_2') = 'fmb_$i_1' )
& ( aint('fmb_$i_1','fmb_$i_3') = 'fmb_$i_1' )
& ( aint('fmb_$i_2','fmb_$i_1') = 'fmb_$i_3' )
& ( aint('fmb_$i_2','fmb_$i_2') = 'fmb_$i_2' )
& ( aint('fmb_$i_2','fmb_$i_3') = 'fmb_$i_1' )
& ( aint('fmb_$i_3','fmb_$i_1') = 'fmb_$i_2' )
& ( aint('fmb_$i_3','fmb_$i_2') = 'fmb_$i_2' )
& ( aint('fmb_$i_3','fmb_$i_3') = 'fmb_$i_3' ) ) ).
tff(declare_apow,type,
apow: $i > $i ).
tff(function_apow,axiom,
( ( apow('fmb_$i_1') = 'fmb_$i_2' )
& ( apow('fmb_$i_2') = 'fmb_$i_3' )
& ( apow('fmb_$i_3') = 'fmb_$i_2' ) ) ).
tff(declare_aex6,type,
aex6: $i > $o ).
tff(predicate_aex6,axiom,
( ~ aex6('fmb_$i_1')
& ~ aex6('fmb_$i_2')
& ~ aex6('fmb_$i_3') ) ).
tff(declare_aal6,type,
aal6: $i > $o ).
tff(predicate_aal6,axiom,
( aal6('fmb_$i_1')
& aal6('fmb_$i_2')
& aal6('fmb_$i_3') ) ).
tff(declare_aal7,type,
aal7: $i > $o ).
tff(predicate_aal7,axiom,
( aal7('fmb_$i_1')
& aal7('fmb_$i_2')
& aal7('fmb_$i_3') ) ).
tff(declare_ain,type,
ain: ( $i * $i ) > $o ).
tff(predicate_ain,axiom,
( ~ ain('fmb_$i_1','fmb_$i_1')
& ~ ain('fmb_$i_1','fmb_$i_2')
& ain('fmb_$i_1','fmb_$i_3')
& ain('fmb_$i_2','fmb_$i_1')
& ~ ain('fmb_$i_2','fmb_$i_2')
& ~ ain('fmb_$i_2','fmb_$i_3')
& ~ ain('fmb_$i_3','fmb_$i_1')
& ain('fmb_$i_3','fmb_$i_2')
& ~ ain('fmb_$i_3','fmb_$i_3') ) ).
tff(declare_asubq,type,
asubq: ( $i * $i ) > $o ).
tff(predicate_asubq,axiom,
( asubq('fmb_$i_1','fmb_$i_1')
& ~ asubq('fmb_$i_1','fmb_$i_2')
& asubq('fmb_$i_1','fmb_$i_3')
& ~ asubq('fmb_$i_2','fmb_$i_1')
& asubq('fmb_$i_2','fmb_$i_2')
& asubq('fmb_$i_2','fmb_$i_3')
& asubq('fmb_$i_3','fmb_$i_1')
& asubq('fmb_$i_3','fmb_$i_2')
& asubq('fmb_$i_3','fmb_$i_3') ) ).
tff(declare_adisjoint,type,
adisjoint: ( $i * $i ) > $o ).
tff(predicate_adisjoint,axiom,
( adisjoint('fmb_$i_1','fmb_$i_1')
& adisjoint('fmb_$i_1','fmb_$i_2')
& adisjoint('fmb_$i_1','fmb_$i_3')
& adisjoint('fmb_$i_2','fmb_$i_1')
& adisjoint('fmb_$i_2','fmb_$i_2')
& adisjoint('fmb_$i_2','fmb_$i_3')
& adisjoint('fmb_$i_3','fmb_$i_1')
& adisjoint('fmb_$i_3','fmb_$i_2')
& adisjoint('fmb_$i_3','fmb_$i_3') ) ).
tff(declare_aal2,type,
aal2: $i > $o ).
tff(predicate_aal2,axiom,
( ~ aal2('fmb_$i_1')
& ~ aal2('fmb_$i_2')
& ~ aal2('fmb_$i_3') ) ).
tff(declare_aal4,type,
aal4: $i > $o ).
tff(predicate_aal4,axiom,
( ~ aal4('fmb_$i_1')
& ~ aal4('fmb_$i_2')
& ~ aal4('fmb_$i_3') ) ).
tff(declare_aal3,type,
aal3: $i > $o ).
tff(predicate_aal3,axiom,
( ~ aal3('fmb_$i_1')
& ~ aal3('fmb_$i_2')
& ~ aal3('fmb_$i_3') ) ).
tff(declare_aal5,type,
aal5: $i > $o ).
tff(predicate_aal5,axiom,
( aal5('fmb_$i_1')
& aal5('fmb_$i_2')
& ~ aal5('fmb_$i_3') ) ).
tff(declare_aex3,type,
aex3: $i > $o ).
tff(predicate_aex3,axiom,
( aex3('fmb_$i_1')
& aex3('fmb_$i_2')
& aex3('fmb_$i_3') ) ).
tff(declare_aex5,type,
aex5: $i > $o ).
tff(predicate_aex5,axiom,
( aex5('fmb_$i_1')
& aex5('fmb_$i_2')
& aex5('fmb_$i_3') ) ).
tff(declare_aex4,type,
aex4: $i > $o ).
tff(predicate_aex4,axiom,
( aex4('fmb_$i_1')
& aex4('fmb_$i_2')
& aex4('fmb_$i_3') ) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYO850+1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.20 % Computer : n010.cluster.edu
% 0.10/0.20 % Model : x86_64 x86_64
% 0.10/0.20 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.20 % Memory : 8046.5625MB
% 0.10/0.20 % OS : Linux 6.8.0-71-generic
% 0.10/0.20 % CPULimit : 300
% 0.10/0.20 % WCLimit : 300
% 0.10/0.20 % DateTime : Mon Sep 28 18:36:02 UTC 2026
% 0.10/0.20 % CPUTime :
% 0.10/0.20 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.23 Running first-order model finding
% 0.10/0.23 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
% 0.20/0.28 % (2165991)Will run a generic schedule for satisfiability detection.
% 0.20/0.28 % (2165996)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=146301695_2999 on theBenchmark for (2999ds/0Mi)
% 0.20/0.28 % TRYING [1]
% 0.20/0.28 % TRYING [2]
% 0.20/0.28 % (2165997)% WARNING: option uhcvi not known.
% 0.20/0.28 % TRYING [3]
% 0.20/0.28 % (2165997)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1361229390:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.20/0.28 % (2165998)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2163277631:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.20/0.28 % (2165999)dis+10_1_sil=32000:sp=arity:random_seed=137723728:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.20/0.28 % (2166001)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1046031518:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.20/0.28 % Finite Model Found!
% 0.20/0.28 % SZS status CounterSatisfiable for theBenchmark
% 0.20/0.28 % (2166000)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1107010156:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.20/0.28 % (2165996) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2165991-2165996"...
% 0.20/0.28 % (2166002)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1484563985:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.20/0.28 % (2165996)...printing done.
% 0.20/0.28 % SZS output start FiniteModel for theBenchmark
% See solution above
% 0.20/0.28 % (2165996)------------------------------
% 0.20/0.28 % (2165996)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.20/0.28 % (2165996)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/0.28 % (2165996)CaDiCaL version: 2.1.3
% 0.20/0.28 % (2165996)Termination reason: Satisfiable
% 0.20/0.28 % (2165996)Time elapsed: 0.008 s
% 0.20/0.28 % (2165996)Peak memory usage: 12 MB
% 0.20/0.28 % (2165996)Instructions burned: 31 (million)
% 0.20/0.28 % (2165991)Success in time 0.039 s
% 0.20/0.28 % Vampire exiting
%------------------------------------------------------------------------------