%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : GRP129-2.005 : TPTP v9.3.1. Released v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n015.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 10:16:51 AM UTC 2026
% Result : Satisfiable 0.19s 0.50s
% Output : FiniteModel 0.19s
% 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': $i ).
tff('declare_$i4',type,
'fmb_$i_4': $i ).
tff('declare_$i5',type,
'fmb_$i_5': $i ).
tff('finite_domain_$i',axiom,
! [X: $i] :
( ( X = 'fmb_$i_1' )
| ( X = 'fmb_$i_2' )
| ( X = 'fmb_$i_3' )
| ( X = 'fmb_$i_4' )
| ( X = 'fmb_$i_5' ) ) ).
tff('distinct_domain_$i',axiom,
( ( 'fmb_$i_1' != 'fmb_$i_2' )
& ( 'fmb_$i_1' != 'fmb_$i_3' )
& ( 'fmb_$i_1' != 'fmb_$i_4' )
& ( 'fmb_$i_1' != 'fmb_$i_5' )
& ( 'fmb_$i_2' != 'fmb_$i_3' )
& ( 'fmb_$i_2' != 'fmb_$i_4' )
& ( 'fmb_$i_2' != 'fmb_$i_5' )
& ( 'fmb_$i_3' != 'fmb_$i_4' )
& ( 'fmb_$i_3' != 'fmb_$i_5' )
& ( 'fmb_$i_4' != 'fmb_$i_5' ) ) ).
tff(declare_e_1,type,
e_1: $i ).
tff(e_1_definition,axiom,
e_1 = 'fmb_$i_1' ).
tff(declare_e_2,type,
e_2: $i ).
tff(e_2_definition,axiom,
e_2 = 'fmb_$i_2' ).
tff(declare_e_3,type,
e_3: $i ).
tff(e_3_definition,axiom,
e_3 = 'fmb_$i_3' ).
tff(declare_e_4,type,
e_4: $i ).
tff(e_4_definition,axiom,
e_4 = 'fmb_$i_4' ).
tff(declare_e_5,type,
e_5: $i ).
tff(e_5_definition,axiom,
e_5 = 'fmb_$i_5' ).
tff(declare_next,type,
next: ( $i * $i ) > $o ).
tff(predicate_next,axiom,
( ~ next('fmb_$i_1','fmb_$i_1')
& next('fmb_$i_1','fmb_$i_2')
& ~ next('fmb_$i_1','fmb_$i_3')
& ~ next('fmb_$i_1','fmb_$i_4')
& ~ next('fmb_$i_1','fmb_$i_5')
& ~ next('fmb_$i_2','fmb_$i_1')
& ~ next('fmb_$i_2','fmb_$i_2')
& next('fmb_$i_2','fmb_$i_3')
& ~ next('fmb_$i_2','fmb_$i_4')
& ~ next('fmb_$i_2','fmb_$i_5')
& ~ next('fmb_$i_3','fmb_$i_1')
& ~ next('fmb_$i_3','fmb_$i_2')
& ~ next('fmb_$i_3','fmb_$i_3')
& next('fmb_$i_3','fmb_$i_4')
& ~ next('fmb_$i_3','fmb_$i_5')
& ~ next('fmb_$i_4','fmb_$i_1')
& ~ next('fmb_$i_4','fmb_$i_2')
& ~ next('fmb_$i_4','fmb_$i_3')
& ~ next('fmb_$i_4','fmb_$i_4')
& next('fmb_$i_4','fmb_$i_5')
& ~ next('fmb_$i_5','fmb_$i_1')
& ~ next('fmb_$i_5','fmb_$i_2')
& ~ next('fmb_$i_5','fmb_$i_3')
& ~ next('fmb_$i_5','fmb_$i_4')
& ~ next('fmb_$i_5','fmb_$i_5') ) ).
tff(declare_greater,type,
greater: ( $i * $i ) > $o ).
tff(predicate_greater,axiom,
( greater('fmb_$i_1','fmb_$i_1')
& ~ greater('fmb_$i_1','fmb_$i_2')
& greater('fmb_$i_1','fmb_$i_3')
& greater('fmb_$i_1','fmb_$i_4')
& greater('fmb_$i_1','fmb_$i_5')
& greater('fmb_$i_2','fmb_$i_1')
& ~ greater('fmb_$i_2','fmb_$i_2')
& greater('fmb_$i_2','fmb_$i_3')
& greater('fmb_$i_2','fmb_$i_4')
& greater('fmb_$i_2','fmb_$i_5')
& greater('fmb_$i_3','fmb_$i_1')
& greater('fmb_$i_3','fmb_$i_2')
& ~ greater('fmb_$i_3','fmb_$i_3')
& greater('fmb_$i_3','fmb_$i_4')
& greater('fmb_$i_3','fmb_$i_5')
& greater('fmb_$i_4','fmb_$i_1')
& greater('fmb_$i_4','fmb_$i_2')
& greater('fmb_$i_4','fmb_$i_3')
& ~ greater('fmb_$i_4','fmb_$i_4')
& greater('fmb_$i_4','fmb_$i_5')
& greater('fmb_$i_5','fmb_$i_1')
& greater('fmb_$i_5','fmb_$i_2')
& greater('fmb_$i_5','fmb_$i_3')
& greater('fmb_$i_5','fmb_$i_4')
& ~ greater('fmb_$i_5','fmb_$i_5') ) ).
tff(declare_product,type,
product: ( $i * $i * $i ) > $o ).
tff(predicate_product,axiom,
( product('fmb_$i_1','fmb_$i_1','fmb_$i_1')
& ~ product('fmb_$i_1','fmb_$i_1','fmb_$i_2')
& ~ product('fmb_$i_1','fmb_$i_1','fmb_$i_3')
& ~ product('fmb_$i_1','fmb_$i_1','fmb_$i_4')
& ~ product('fmb_$i_1','fmb_$i_1','fmb_$i_5')
& ~ product('fmb_$i_1','fmb_$i_2','fmb_$i_1')
& ~ product('fmb_$i_1','fmb_$i_2','fmb_$i_2')
& ~ product('fmb_$i_1','fmb_$i_2','fmb_$i_3')
& product('fmb_$i_1','fmb_$i_2','fmb_$i_4')
& ~ product('fmb_$i_1','fmb_$i_2','fmb_$i_5')
& ~ product('fmb_$i_1','fmb_$i_3','fmb_$i_1')
& ~ product('fmb_$i_1','fmb_$i_3','fmb_$i_2')
& ~ product('fmb_$i_1','fmb_$i_3','fmb_$i_3')
& ~ product('fmb_$i_1','fmb_$i_3','fmb_$i_4')
& product('fmb_$i_1','fmb_$i_3','fmb_$i_5')
& ~ product('fmb_$i_1','fmb_$i_4','fmb_$i_1')
& product('fmb_$i_1','fmb_$i_4','fmb_$i_2')
& ~ product('fmb_$i_1','fmb_$i_4','fmb_$i_3')
& ~ product('fmb_$i_1','fmb_$i_4','fmb_$i_4')
& ~ product('fmb_$i_1','fmb_$i_4','fmb_$i_5')
& ~ product('fmb_$i_1','fmb_$i_5','fmb_$i_1')
& ~ product('fmb_$i_1','fmb_$i_5','fmb_$i_2')
& product('fmb_$i_1','fmb_$i_5','fmb_$i_3')
& ~ product('fmb_$i_1','fmb_$i_5','fmb_$i_4')
& ~ product('fmb_$i_1','fmb_$i_5','fmb_$i_5')
& ~ product('fmb_$i_2','fmb_$i_1','fmb_$i_1')
& ~ product('fmb_$i_2','fmb_$i_1','fmb_$i_2')
& product('fmb_$i_2','fmb_$i_1','fmb_$i_3')
& ~ product('fmb_$i_2','fmb_$i_1','fmb_$i_4')
& ~ product('fmb_$i_2','fmb_$i_1','fmb_$i_5')
& ~ product('fmb_$i_2','fmb_$i_2','fmb_$i_1')
& product('fmb_$i_2','fmb_$i_2','fmb_$i_2')
& ~ product('fmb_$i_2','fmb_$i_2','fmb_$i_3')
& ~ product('fmb_$i_2','fmb_$i_2','fmb_$i_4')
& ~ product('fmb_$i_2','fmb_$i_2','fmb_$i_5')
& product('fmb_$i_2','fmb_$i_3','fmb_$i_1')
& ~ product('fmb_$i_2','fmb_$i_3','fmb_$i_2')
& ~ product('fmb_$i_2','fmb_$i_3','fmb_$i_3')
& ~ product('fmb_$i_2','fmb_$i_3','fmb_$i_4')
& ~ product('fmb_$i_2','fmb_$i_3','fmb_$i_5')
& ~ product('fmb_$i_2','fmb_$i_4','fmb_$i_1')
& ~ product('fmb_$i_2','fmb_$i_4','fmb_$i_2')
& ~ product('fmb_$i_2','fmb_$i_4','fmb_$i_3')
& ~ product('fmb_$i_2','fmb_$i_4','fmb_$i_4')
& product('fmb_$i_2','fmb_$i_4','fmb_$i_5')
& ~ product('fmb_$i_2','fmb_$i_5','fmb_$i_1')
& ~ product('fmb_$i_2','fmb_$i_5','fmb_$i_2')
& ~ product('fmb_$i_2','fmb_$i_5','fmb_$i_3')
& product('fmb_$i_2','fmb_$i_5','fmb_$i_4')
& ~ product('fmb_$i_2','fmb_$i_5','fmb_$i_5')
& ~ product('fmb_$i_3','fmb_$i_1','fmb_$i_1')
& ~ product('fmb_$i_3','fmb_$i_1','fmb_$i_2')
& ~ product('fmb_$i_3','fmb_$i_1','fmb_$i_3')
& product('fmb_$i_3','fmb_$i_1','fmb_$i_4')
& ~ product('fmb_$i_3','fmb_$i_1','fmb_$i_5')
& ~ product('fmb_$i_3','fmb_$i_2','fmb_$i_1')
& ~ product('fmb_$i_3','fmb_$i_2','fmb_$i_2')
& ~ product('fmb_$i_3','fmb_$i_2','fmb_$i_3')
& ~ product('fmb_$i_3','fmb_$i_2','fmb_$i_4')
& product('fmb_$i_3','fmb_$i_2','fmb_$i_5')
& ~ product('fmb_$i_3','fmb_$i_3','fmb_$i_1')
& ~ product('fmb_$i_3','fmb_$i_3','fmb_$i_2')
& product('fmb_$i_3','fmb_$i_3','fmb_$i_3')
& ~ product('fmb_$i_3','fmb_$i_3','fmb_$i_4')
& ~ product('fmb_$i_3','fmb_$i_3','fmb_$i_5')
& product('fmb_$i_3','fmb_$i_4','fmb_$i_1')
& ~ product('fmb_$i_3','fmb_$i_4','fmb_$i_2')
& ~ product('fmb_$i_3','fmb_$i_4','fmb_$i_3')
& ~ product('fmb_$i_3','fmb_$i_4','fmb_$i_4')
& ~ product('fmb_$i_3','fmb_$i_4','fmb_$i_5')
& ~ product('fmb_$i_3','fmb_$i_5','fmb_$i_1')
& product('fmb_$i_3','fmb_$i_5','fmb_$i_2')
& ~ product('fmb_$i_3','fmb_$i_5','fmb_$i_3')
& ~ product('fmb_$i_3','fmb_$i_5','fmb_$i_4')
& ~ product('fmb_$i_3','fmb_$i_5','fmb_$i_5')
& ~ product('fmb_$i_4','fmb_$i_1','fmb_$i_1')
& ~ product('fmb_$i_4','fmb_$i_1','fmb_$i_2')
& ~ product('fmb_$i_4','fmb_$i_1','fmb_$i_3')
& ~ product('fmb_$i_4','fmb_$i_1','fmb_$i_4')
& product('fmb_$i_4','fmb_$i_1','fmb_$i_5')
& ~ product('fmb_$i_4','fmb_$i_2','fmb_$i_1')
& ~ product('fmb_$i_4','fmb_$i_2','fmb_$i_2')
& product('fmb_$i_4','fmb_$i_2','fmb_$i_3')
& ~ product('fmb_$i_4','fmb_$i_2','fmb_$i_4')
& ~ product('fmb_$i_4','fmb_$i_2','fmb_$i_5')
& ~ product('fmb_$i_4','fmb_$i_3','fmb_$i_1')
& product('fmb_$i_4','fmb_$i_3','fmb_$i_2')
& ~ product('fmb_$i_4','fmb_$i_3','fmb_$i_3')
& ~ product('fmb_$i_4','fmb_$i_3','fmb_$i_4')
& ~ product('fmb_$i_4','fmb_$i_3','fmb_$i_5')
& ~ product('fmb_$i_4','fmb_$i_4','fmb_$i_1')
& ~ product('fmb_$i_4','fmb_$i_4','fmb_$i_2')
& ~ product('fmb_$i_4','fmb_$i_4','fmb_$i_3')
& product('fmb_$i_4','fmb_$i_4','fmb_$i_4')
& ~ product('fmb_$i_4','fmb_$i_4','fmb_$i_5')
& product('fmb_$i_4','fmb_$i_5','fmb_$i_1')
& ~ product('fmb_$i_4','fmb_$i_5','fmb_$i_2')
& ~ product('fmb_$i_4','fmb_$i_5','fmb_$i_3')
& ~ product('fmb_$i_4','fmb_$i_5','fmb_$i_4')
& ~ product('fmb_$i_4','fmb_$i_5','fmb_$i_5')
& ~ product('fmb_$i_5','fmb_$i_1','fmb_$i_1')
& product('fmb_$i_5','fmb_$i_1','fmb_$i_2')
& ~ product('fmb_$i_5','fmb_$i_1','fmb_$i_3')
& ~ product('fmb_$i_5','fmb_$i_1','fmb_$i_4')
& ~ product('fmb_$i_5','fmb_$i_1','fmb_$i_5')
& product('fmb_$i_5','fmb_$i_2','fmb_$i_1')
& ~ product('fmb_$i_5','fmb_$i_2','fmb_$i_2')
& ~ product('fmb_$i_5','fmb_$i_2','fmb_$i_3')
& ~ product('fmb_$i_5','fmb_$i_2','fmb_$i_4')
& ~ product('fmb_$i_5','fmb_$i_2','fmb_$i_5')
& ~ product('fmb_$i_5','fmb_$i_3','fmb_$i_1')
& ~ product('fmb_$i_5','fmb_$i_3','fmb_$i_2')
& ~ product('fmb_$i_5','fmb_$i_3','fmb_$i_3')
& product('fmb_$i_5','fmb_$i_3','fmb_$i_4')
& ~ product('fmb_$i_5','fmb_$i_3','fmb_$i_5')
& ~ product('fmb_$i_5','fmb_$i_4','fmb_$i_1')
& ~ product('fmb_$i_5','fmb_$i_4','fmb_$i_2')
& product('fmb_$i_5','fmb_$i_4','fmb_$i_3')
& ~ product('fmb_$i_5','fmb_$i_4','fmb_$i_4')
& ~ product('fmb_$i_5','fmb_$i_4','fmb_$i_5')
& ~ product('fmb_$i_5','fmb_$i_5','fmb_$i_1')
& ~ product('fmb_$i_5','fmb_$i_5','fmb_$i_2')
& ~ product('fmb_$i_5','fmb_$i_5','fmb_$i_3')
& ~ product('fmb_$i_5','fmb_$i_5','fmb_$i_4')
& product('fmb_$i_5','fmb_$i_5','fmb_$i_5') ) ).
tff(declare_group_element,type,
group_element: $i > $o ).
tff(predicate_group_element,axiom,
( group_element('fmb_$i_1')
& group_element('fmb_$i_2')
& group_element('fmb_$i_3')
& group_element('fmb_$i_4')
& group_element('fmb_$i_5') ) ).
tff(declare_equalish,type,
equalish: ( $i * $i ) > $o ).
tff(predicate_equalish,axiom,
( equalish('fmb_$i_1','fmb_$i_1')
& ~ equalish('fmb_$i_1','fmb_$i_2')
& ~ equalish('fmb_$i_1','fmb_$i_3')
& ~ equalish('fmb_$i_1','fmb_$i_4')
& ~ equalish('fmb_$i_1','fmb_$i_5')
& ~ equalish('fmb_$i_2','fmb_$i_1')
& equalish('fmb_$i_2','fmb_$i_2')
& ~ equalish('fmb_$i_2','fmb_$i_3')
& ~ equalish('fmb_$i_2','fmb_$i_4')
& ~ equalish('fmb_$i_2','fmb_$i_5')
& ~ equalish('fmb_$i_3','fmb_$i_1')
& ~ equalish('fmb_$i_3','fmb_$i_2')
& equalish('fmb_$i_3','fmb_$i_3')
& ~ equalish('fmb_$i_3','fmb_$i_4')
& ~ equalish('fmb_$i_3','fmb_$i_5')
& ~ equalish('fmb_$i_4','fmb_$i_1')
& ~ equalish('fmb_$i_4','fmb_$i_2')
& ~ equalish('fmb_$i_4','fmb_$i_3')
& equalish('fmb_$i_4','fmb_$i_4')
& ~ equalish('fmb_$i_4','fmb_$i_5')
& ~ equalish('fmb_$i_5','fmb_$i_1')
& ~ equalish('fmb_$i_5','fmb_$i_2')
& ~ equalish('fmb_$i_5','fmb_$i_3')
& ~ equalish('fmb_$i_5','fmb_$i_4')
& equalish('fmb_$i_5','fmb_$i_5') ) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP129-2.005 : TPTP v9.3.1. Released v1.2.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.14/0.40 % Computer : n015.cluster.edu
% 0.14/0.40 % Model : x86_64 x86_64
% 0.14/0.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.40 % Memory : 8046.5625MB
% 0.14/0.40 % OS : Linux 6.8.0-71-generic
% 0.14/0.40 % CPULimit : 300
% 0.14/0.40 % WCLimit : 300
% 0.14/0.40 % DateTime : Sun Sep 27 09:31:15 UTC 2026
% 0.14/0.40 % CPUTime :
% 0.14/0.40 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.14/0.43 Running first-order model finding
% 0.14/0.43 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
% 0.19/0.50 % (1397054)Will run a generic schedule for satisfiability detection.
% 0.19/0.50 % (1397061)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1334535951:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.19/0.50 % (1397060)% WARNING: option uhcvi not known.
% 0.19/0.50 % (1397063)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3360646889:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.19/0.50 % (1397060)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3984752160:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.19/0.50 % (1397062)dis+10_1_sil=32000:sp=arity:random_seed=764441717:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.19/0.50 % (1397059)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2250708528_2999 on theBenchmark for (2999ds/0Mi)
% 0.19/0.50 % (1397065)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3726110481:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.19/0.50 % (1397064)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=749593729:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.19/0.50 % Detected minimum model sizes of [1]
% 0.19/0.50 % Detected maximum model sizes of [5]
% 0.19/0.50 % TRYING [1]
% 0.19/0.50 % TRYING [2]
% 0.19/0.50 % TRYING [3]
% 0.19/0.50 % TRYING [4]
% 0.19/0.50 % TRYING [5]
% 0.19/0.50 % Finite Model Found!
% 0.19/0.50 % SZS status Satisfiable for theBenchmark
% 0.19/0.50 % (1397059) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1397054-1397059"...
% 0.19/0.50 % (1397059)...printing done.
% 0.19/0.50 % SZS output start FiniteModel for theBenchmark
% See solution above
% 0.19/0.50 % (1397059)------------------------------
% 0.19/0.50 % (1397059)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.19/0.50 % (1397059)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.19/0.50 % (1397059)CaDiCaL version: 2.1.3
% 0.19/0.50 % (1397059)Termination reason: Satisfiable
% 0.19/0.50 % (1397059)Time elapsed: 0.011 s
% 0.19/0.50 % (1397059)Peak memory usage: 11 MB
% 0.19/0.50 % (1397059)Instructions burned: 24 (million)
% 0.19/0.50 % (1397054)Success in time 0.06 s
% 0.19/0.50 % Vampire exiting
%------------------------------------------------------------------------------