%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : GRP124-3.005 : TPTP v9.3.1. Released v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n009.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 10:16:45 AM UTC 2026
% Result : Satisfiable 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': $i ).
tff('declare_$i4',type,
'fmb_$i_4': $i ).
tff('declare_$i5',type,
'fmb_$i_5': $i ).
tff('declare_$i6',type,
'fmb_$i_6': $i ).
tff('finite_domain_$i',axiom,
! [X: $i] :
( ( X = 'fmb_$i_1' )
| ( X = 'fmb_$i_2' )
| ( X = 'fmb_$i_3' )
| ( X = 'fmb_$i_4' )
| ( X = 'fmb_$i_5' )
| ( X = 'fmb_$i_6' ) ) ).
tff('distinct_domain_$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_$i_1' != 'fmb_$i_6' )
& ( 'fmb_$i_2' != 'fmb_$i_3' )
& ( 'fmb_$i_2' != 'fmb_$i_4' )
& ( 'fmb_$i_2' != 'fmb_$i_5' )
& ( 'fmb_$i_2' != 'fmb_$i_6' )
& ( 'fmb_$i_3' != 'fmb_$i_4' )
& ( 'fmb_$i_3' != 'fmb_$i_5' )
& ( 'fmb_$i_3' != 'fmb_$i_6' )
& ( 'fmb_$i_4' != 'fmb_$i_5' )
& ( 'fmb_$i_4' != 'fmb_$i_6' )
& ( 'fmb_$i_5' != 'fmb_$i_6' ) ) ).
tff(declare_e_0,type,
e_0: $i ).
tff(e_0_definition,axiom,
e_0 = 'fmb_$i_1' ).
tff(declare_e_1,type,
e_1: $i ).
tff(e_1_definition,axiom,
e_1 = 'fmb_$i_2' ).
tff(declare_e_2,type,
e_2: $i ).
tff(e_2_definition,axiom,
e_2 = 'fmb_$i_3' ).
tff(declare_e_3,type,
e_3: $i ).
tff(e_3_definition,axiom,
e_3 = 'fmb_$i_4' ).
tff(declare_e_4,type,
e_4: $i ).
tff(e_4_definition,axiom,
e_4 = 'fmb_$i_5' ).
tff(declare_e_5,type,
e_5: $i ).
tff(e_5_definition,axiom,
e_5 = 'fmb_$i_6' ).
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_1','fmb_$i_6')
& ~ next('fmb_$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_2','fmb_$i_6')
& ~ next('fmb_$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_3','fmb_$i_6')
& ~ next('fmb_$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_4','fmb_$i_6')
& ~ next('fmb_$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_$i_5')
& next('fmb_$i_5','fmb_$i_6')
& ~ next('fmb_$i_6','fmb_$i_1')
& ~ next('fmb_$i_6','fmb_$i_2')
& ~ next('fmb_$i_6','fmb_$i_3')
& ~ next('fmb_$i_6','fmb_$i_4')
& ~ next('fmb_$i_6','fmb_$i_5')
& ~ next('fmb_$i_6','fmb_$i_6') ) ).
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_1','fmb_$i_6')
& greater('fmb_$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_2','fmb_$i_6')
& greater('fmb_$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_3','fmb_$i_6')
& greater('fmb_$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_4','fmb_$i_6')
& greater('fmb_$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_$i_5')
& greater('fmb_$i_5','fmb_$i_6')
& greater('fmb_$i_6','fmb_$i_1')
& greater('fmb_$i_6','fmb_$i_2')
& greater('fmb_$i_6','fmb_$i_3')
& greater('fmb_$i_6','fmb_$i_4')
& greater('fmb_$i_6','fmb_$i_5')
& greater('fmb_$i_6','fmb_$i_6') ) ).
tff(declare_cycle,type,
cycle: ( $i * $i ) > $o ).
tff(predicate_cycle,axiom,
( ~ cycle('fmb_$i_1','fmb_$i_1')
& ~ cycle('fmb_$i_1','fmb_$i_2')
& ~ cycle('fmb_$i_1','fmb_$i_3')
& ~ cycle('fmb_$i_1','fmb_$i_4')
& ~ cycle('fmb_$i_1','fmb_$i_5')
& ~ cycle('fmb_$i_1','fmb_$i_6')
& cycle('fmb_$i_2','fmb_$i_1')
& ~ cycle('fmb_$i_2','fmb_$i_2')
& ~ cycle('fmb_$i_2','fmb_$i_3')
& ~ cycle('fmb_$i_2','fmb_$i_4')
& ~ cycle('fmb_$i_2','fmb_$i_5')
& ~ cycle('fmb_$i_2','fmb_$i_6')
& ~ cycle('fmb_$i_3','fmb_$i_1')
& ~ cycle('fmb_$i_3','fmb_$i_2')
& ~ cycle('fmb_$i_3','fmb_$i_3')
& cycle('fmb_$i_3','fmb_$i_4')
& ~ cycle('fmb_$i_3','fmb_$i_5')
& ~ cycle('fmb_$i_3','fmb_$i_6')
& ~ cycle('fmb_$i_4','fmb_$i_1')
& ~ cycle('fmb_$i_4','fmb_$i_2')
& cycle('fmb_$i_4','fmb_$i_3')
& ~ cycle('fmb_$i_4','fmb_$i_4')
& ~ cycle('fmb_$i_4','fmb_$i_5')
& ~ cycle('fmb_$i_4','fmb_$i_6')
& ~ cycle('fmb_$i_5','fmb_$i_1')
& cycle('fmb_$i_5','fmb_$i_2')
& ~ cycle('fmb_$i_5','fmb_$i_3')
& ~ cycle('fmb_$i_5','fmb_$i_4')
& ~ cycle('fmb_$i_5','fmb_$i_5')
& ~ cycle('fmb_$i_5','fmb_$i_6')
& cycle('fmb_$i_6','fmb_$i_1')
& ~ cycle('fmb_$i_6','fmb_$i_2')
& ~ cycle('fmb_$i_6','fmb_$i_3')
& ~ cycle('fmb_$i_6','fmb_$i_4')
& ~ cycle('fmb_$i_6','fmb_$i_5')
& ~ cycle('fmb_$i_6','fmb_$i_6') ) ).
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_1','fmb_$i_6')
& equalish('fmb_$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_2','fmb_$i_6')
& equalish('fmb_$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_3','fmb_$i_6')
& equalish('fmb_$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_4','fmb_$i_6')
& equalish('fmb_$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_$i_5')
& ~ equalish('fmb_$i_5','fmb_$i_6')
& equalish('fmb_$i_6','fmb_$i_1')
& ~ equalish('fmb_$i_6','fmb_$i_2')
& ~ equalish('fmb_$i_6','fmb_$i_3')
& ~ equalish('fmb_$i_6','fmb_$i_4')
& ~ equalish('fmb_$i_6','fmb_$i_5')
& equalish('fmb_$i_6','fmb_$i_6') ) ).
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')
& group_element('fmb_$i_6') ) ).
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_1','fmb_$i_6')
& ~ product('fmb_$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_2','fmb_$i_6')
& ~ product('fmb_$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_3','fmb_$i_6')
& ~ product('fmb_$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_4','fmb_$i_6')
& ~ product('fmb_$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_$i_1','fmb_$i_5','fmb_$i_6')
& ~ product('fmb_$i_1','fmb_$i_6','fmb_$i_1')
& ~ product('fmb_$i_1','fmb_$i_6','fmb_$i_2')
& ~ product('fmb_$i_1','fmb_$i_6','fmb_$i_3')
& ~ product('fmb_$i_1','fmb_$i_6','fmb_$i_4')
& ~ product('fmb_$i_1','fmb_$i_6','fmb_$i_5')
& ~ product('fmb_$i_1','fmb_$i_6','fmb_$i_6')
& ~ product('fmb_$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_1','fmb_$i_6')
& ~ product('fmb_$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_2','fmb_$i_6')
& ~ product('fmb_$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_3','fmb_$i_6')
& ~ product('fmb_$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_4','fmb_$i_6')
& ~ product('fmb_$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_$i_2','fmb_$i_5','fmb_$i_6')
& ~ product('fmb_$i_2','fmb_$i_6','fmb_$i_1')
& ~ product('fmb_$i_2','fmb_$i_6','fmb_$i_2')
& ~ product('fmb_$i_2','fmb_$i_6','fmb_$i_3')
& product('fmb_$i_2','fmb_$i_6','fmb_$i_4')
& ~ product('fmb_$i_2','fmb_$i_6','fmb_$i_5')
& ~ product('fmb_$i_2','fmb_$i_6','fmb_$i_6')
& ~ product('fmb_$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_1','fmb_$i_6')
& ~ product('fmb_$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_2','fmb_$i_6')
& ~ product('fmb_$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_3','fmb_$i_6')
& ~ product('fmb_$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_4','fmb_$i_6')
& ~ product('fmb_$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_$i_3','fmb_$i_5','fmb_$i_6')
& ~ product('fmb_$i_3','fmb_$i_6','fmb_$i_1')
& ~ product('fmb_$i_3','fmb_$i_6','fmb_$i_2')
& ~ product('fmb_$i_3','fmb_$i_6','fmb_$i_3')
& ~ product('fmb_$i_3','fmb_$i_6','fmb_$i_4')
& product('fmb_$i_3','fmb_$i_6','fmb_$i_5')
& ~ product('fmb_$i_3','fmb_$i_6','fmb_$i_6')
& ~ product('fmb_$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_1','fmb_$i_6')
& ~ product('fmb_$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_2','fmb_$i_6')
& ~ product('fmb_$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_3','fmb_$i_6')
& ~ product('fmb_$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_4','fmb_$i_6')
& ~ product('fmb_$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_$i_4','fmb_$i_5','fmb_$i_6')
& ~ product('fmb_$i_4','fmb_$i_6','fmb_$i_1')
& ~ product('fmb_$i_4','fmb_$i_6','fmb_$i_2')
& product('fmb_$i_4','fmb_$i_6','fmb_$i_3')
& ~ product('fmb_$i_4','fmb_$i_6','fmb_$i_4')
& ~ product('fmb_$i_4','fmb_$i_6','fmb_$i_5')
& ~ product('fmb_$i_4','fmb_$i_6','fmb_$i_6')
& ~ product('fmb_$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_1','fmb_$i_6')
& ~ product('fmb_$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_2','fmb_$i_6')
& ~ product('fmb_$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_3','fmb_$i_6')
& ~ product('fmb_$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_4','fmb_$i_6')
& ~ product('fmb_$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')
& ~ product('fmb_$i_5','fmb_$i_5','fmb_$i_6')
& ~ product('fmb_$i_5','fmb_$i_6','fmb_$i_1')
& product('fmb_$i_5','fmb_$i_6','fmb_$i_2')
& ~ product('fmb_$i_5','fmb_$i_6','fmb_$i_3')
& ~ product('fmb_$i_5','fmb_$i_6','fmb_$i_4')
& ~ product('fmb_$i_5','fmb_$i_6','fmb_$i_5')
& ~ product('fmb_$i_5','fmb_$i_6','fmb_$i_6')
& ~ product('fmb_$i_6','fmb_$i_1','fmb_$i_1')
& ~ product('fmb_$i_6','fmb_$i_1','fmb_$i_2')
& ~ product('fmb_$i_6','fmb_$i_1','fmb_$i_3')
& ~ product('fmb_$i_6','fmb_$i_1','fmb_$i_4')
& ~ product('fmb_$i_6','fmb_$i_1','fmb_$i_5')
& ~ product('fmb_$i_6','fmb_$i_1','fmb_$i_6')
& ~ product('fmb_$i_6','fmb_$i_2','fmb_$i_1')
& ~ product('fmb_$i_6','fmb_$i_2','fmb_$i_2')
& product('fmb_$i_6','fmb_$i_2','fmb_$i_3')
& ~ product('fmb_$i_6','fmb_$i_2','fmb_$i_4')
& ~ product('fmb_$i_6','fmb_$i_2','fmb_$i_5')
& ~ product('fmb_$i_6','fmb_$i_2','fmb_$i_6')
& ~ product('fmb_$i_6','fmb_$i_3','fmb_$i_1')
& product('fmb_$i_6','fmb_$i_3','fmb_$i_2')
& ~ product('fmb_$i_6','fmb_$i_3','fmb_$i_3')
& ~ product('fmb_$i_6','fmb_$i_3','fmb_$i_4')
& ~ product('fmb_$i_6','fmb_$i_3','fmb_$i_5')
& ~ product('fmb_$i_6','fmb_$i_3','fmb_$i_6')
& ~ product('fmb_$i_6','fmb_$i_4','fmb_$i_1')
& ~ product('fmb_$i_6','fmb_$i_4','fmb_$i_2')
& ~ product('fmb_$i_6','fmb_$i_4','fmb_$i_3')
& ~ product('fmb_$i_6','fmb_$i_4','fmb_$i_4')
& product('fmb_$i_6','fmb_$i_4','fmb_$i_5')
& ~ product('fmb_$i_6','fmb_$i_4','fmb_$i_6')
& ~ product('fmb_$i_6','fmb_$i_5','fmb_$i_1')
& ~ product('fmb_$i_6','fmb_$i_5','fmb_$i_2')
& ~ product('fmb_$i_6','fmb_$i_5','fmb_$i_3')
& product('fmb_$i_6','fmb_$i_5','fmb_$i_4')
& ~ product('fmb_$i_6','fmb_$i_5','fmb_$i_5')
& ~ product('fmb_$i_6','fmb_$i_5','fmb_$i_6')
& ~ product('fmb_$i_6','fmb_$i_6','fmb_$i_1')
& ~ product('fmb_$i_6','fmb_$i_6','fmb_$i_2')
& ~ product('fmb_$i_6','fmb_$i_6','fmb_$i_3')
& ~ product('fmb_$i_6','fmb_$i_6','fmb_$i_4')
& ~ product('fmb_$i_6','fmb_$i_6','fmb_$i_5')
& product('fmb_$i_6','fmb_$i_6','fmb_$i_6') ) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP124-3.005 : TPTP v9.3.1. Released v1.2.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.12/0.40 % Computer : n009.cluster.edu
% 0.12/0.40 % Model : x86_64 x86_64
% 0.12/0.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.40 % Memory : 8046.5625MB
% 0.12/0.40 % OS : Linux 6.8.0-71-generic
% 0.12/0.40 % CPULimit : 300
% 0.12/0.40 % WCLimit : 300
% 0.12/0.40 % DateTime : Sun Sep 27 09:21:00 UTC 2026
% 0.12/0.40 % CPUTime :
% 0.12/0.40 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.12/0.43 Running first-order model finding
% 0.12/0.43 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
% 0.17/0.52 % (1765210)Will run a generic schedule for satisfiability detection.
% 0.17/0.52 % (1765220)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=320259799:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.17/0.52 % (1765216)% WARNING: option uhcvi not known.
% 0.17/0.52 % (1765215)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1277367327_2999 on theBenchmark for (2999ds/0Mi)
% 0.17/0.52 % (1765218)dis+10_1_sil=32000:sp=arity:random_seed=3537797026:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.17/0.52 % (1765217)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3224335723:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.17/0.52 % (1765216)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2909907660:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.17/0.52 % (1765219)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1354977270:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.17/0.52 % (1765221)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1714982315:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.17/0.52 % Detected minimum model sizes of [1]
% 0.17/0.52 % Detected maximum model sizes of [6]
% 0.17/0.52 % TRYING [1]
% 0.17/0.52 % TRYING [2]
% 0.17/0.52 % TRYING [3]
% 0.17/0.52 % TRYING [4]
% 0.17/0.52 % TRYING [5]
% 0.17/0.52 % TRYING [6]
% 0.17/0.52 % Finite Model Found!
% 0.17/0.52 % SZS status Satisfiable for theBenchmark
% 0.17/0.52 % (1765220)Instruction limit reached!
% 0.17/0.52 % (1765220)------------------------------
% 0.17/0.52 % (1765220)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.17/0.52 % (1765220)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.17/0.52 % (1765220)CaDiCaL version: 2.1.3
% 0.17/0.52 % (1765220)Termination reason: Instruction limit
% 0.17/0.52 % (1765220)Termination phase: Saturation
% 0.17/0.52 % (1765220)Time elapsed: 0.043 s
% 0.17/0.52 % (1765220)Peak memory usage: 12 MB
% 0.17/0.52 % (1765220)Instructions burned: 133 (million)
% 0.17/0.52 % (1765215) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1765210-1765215"...
% 0.17/0.52 % (1765215)...printing done.
% 0.17/0.52 % SZS output start FiniteModel for theBenchmark
% See solution above
% 0.17/0.52 % (1765215)------------------------------
% 0.17/0.52 % (1765215)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.17/0.52 % (1765215)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.17/0.52 % (1765215)CaDiCaL version: 2.1.3
% 0.17/0.52 % (1765215)Termination reason: Satisfiable
% 0.17/0.52 % (1765215)Time elapsed: 0.036 s
% 0.17/0.52 % (1765215)Peak memory usage: 14 MB
% 0.17/0.52 % (1765215)Instructions burned: 92 (million)
% 0.17/0.52 % (1765210)Success in time 0.075 s
% 0.17/0.52 % Vampire exiting
%------------------------------------------------------------------------------