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Vampire-SAT---5.0.1.SAT-FMo.s

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---5.0.1
% Problem  : KRS051+1 : TPTP v9.3.1. Released v3.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT

% Computer : n004.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 11:42:10 AM UTC 2026

% Result   : Satisfiable 1.44s 0.66s
% Output   : FiniteModel 1.44s
% 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_id,type,
    id: $i ).

tff(id_definition,axiom,
    id = 'fmb_$i_1' ).

tff(declare_ccardinality_N,type,
    ccardinality_N: $i > $o ).

tff(predicate_ccardinality_N,axiom,
    ( ~ ccardinality_N('fmb_$i_1')
    & ccardinality_N('fmb_$i_2')
    & ~ ccardinality_N('fmb_$i_3')
    & ccardinality_N('fmb_$i_4')
    & ~ ccardinality_N('fmb_$i_5')
    & ~ ccardinality_N('fmb_$i_6') ) ).

tff(declare_ccardinality_N_times_M,type,
    ccardinality_N_times_M: $i > $o ).

tff(predicate_ccardinality_N_times_M,axiom,
    ( ccardinality_N_times_M('fmb_$i_1')
    & ccardinality_N_times_M('fmb_$i_2')
    & ccardinality_N_times_M('fmb_$i_3')
    & ccardinality_N_times_M('fmb_$i_4')
    & ccardinality_N_times_M('fmb_$i_5')
    & ccardinality_N_times_M('fmb_$i_6') ) ).

tff(declare_conly_d,type,
    conly_d: $i > $o ).

tff(predicate_conly_d,axiom,
    ( conly_d('fmb_$i_1')
    & ~ conly_d('fmb_$i_2')
    & ~ conly_d('fmb_$i_3')
    & ~ conly_d('fmb_$i_4')
    & ~ conly_d('fmb_$i_5')
    & ~ conly_d('fmb_$i_6') ) ).

tff(declare_cowlNothing,type,
    cowlNothing: $i > $o ).

tff(predicate_cowlNothing,axiom,
    ( ~ cowlNothing('fmb_$i_1')
    & ~ cowlNothing('fmb_$i_2')
    & ~ cowlNothing('fmb_$i_3')
    & ~ cowlNothing('fmb_$i_4')
    & ~ cowlNothing('fmb_$i_5')
    & ~ cowlNothing('fmb_$i_6') ) ).

tff(declare_cowlThing,type,
    cowlThing: $i > $o ).

tff(predicate_cowlThing,axiom,
    ( cowlThing('fmb_$i_1')
    & cowlThing('fmb_$i_2')
    & cowlThing('fmb_$i_3')
    & cowlThing('fmb_$i_4')
    & cowlThing('fmb_$i_5')
    & cowlThing('fmb_$i_6') ) ).

tff(declare_rinvP_1_to_N,type,
    rinvP_1_to_N: ( $i * $i ) > $o ).

tff(predicate_rinvP_1_to_N,axiom,
    ( ~ rinvP_1_to_N('fmb_$i_1','fmb_$i_1')
    & rinvP_1_to_N('fmb_$i_1','fmb_$i_2')
    & ~ rinvP_1_to_N('fmb_$i_1','fmb_$i_3')
    & rinvP_1_to_N('fmb_$i_1','fmb_$i_4')
    & ~ rinvP_1_to_N('fmb_$i_1','fmb_$i_5')
    & ~ rinvP_1_to_N('fmb_$i_1','fmb_$i_6')
    & ~ rinvP_1_to_N('fmb_$i_2','fmb_$i_1')
    & ~ rinvP_1_to_N('fmb_$i_2','fmb_$i_2')
    & ~ rinvP_1_to_N('fmb_$i_2','fmb_$i_3')
    & ~ rinvP_1_to_N('fmb_$i_2','fmb_$i_4')
    & ~ rinvP_1_to_N('fmb_$i_2','fmb_$i_5')
    & ~ rinvP_1_to_N('fmb_$i_2','fmb_$i_6')
    & ~ rinvP_1_to_N('fmb_$i_3','fmb_$i_1')
    & ~ rinvP_1_to_N('fmb_$i_3','fmb_$i_2')
    & ~ rinvP_1_to_N('fmb_$i_3','fmb_$i_3')
    & ~ rinvP_1_to_N('fmb_$i_3','fmb_$i_4')
    & ~ rinvP_1_to_N('fmb_$i_3','fmb_$i_5')
    & ~ rinvP_1_to_N('fmb_$i_3','fmb_$i_6')
    & ~ rinvP_1_to_N('fmb_$i_4','fmb_$i_1')
    & ~ rinvP_1_to_N('fmb_$i_4','fmb_$i_2')
    & ~ rinvP_1_to_N('fmb_$i_4','fmb_$i_3')
    & ~ rinvP_1_to_N('fmb_$i_4','fmb_$i_4')
    & ~ rinvP_1_to_N('fmb_$i_4','fmb_$i_5')
    & ~ rinvP_1_to_N('fmb_$i_4','fmb_$i_6')
    & ~ rinvP_1_to_N('fmb_$i_5','fmb_$i_1')
    & ~ rinvP_1_to_N('fmb_$i_5','fmb_$i_2')
    & ~ rinvP_1_to_N('fmb_$i_5','fmb_$i_3')
    & ~ rinvP_1_to_N('fmb_$i_5','fmb_$i_4')
    & ~ rinvP_1_to_N('fmb_$i_5','fmb_$i_5')
    & ~ rinvP_1_to_N('fmb_$i_5','fmb_$i_6')
    & ~ rinvP_1_to_N('fmb_$i_6','fmb_$i_1')
    & ~ rinvP_1_to_N('fmb_$i_6','fmb_$i_2')
    & ~ rinvP_1_to_N('fmb_$i_6','fmb_$i_3')
    & ~ rinvP_1_to_N('fmb_$i_6','fmb_$i_4')
    & ~ rinvP_1_to_N('fmb_$i_6','fmb_$i_5')
    & ~ rinvP_1_to_N('fmb_$i_6','fmb_$i_6') ) ).

tff(declare_rinvQ_1_to_M,type,
    rinvQ_1_to_M: ( $i * $i ) > $o ).

tff(predicate_rinvQ_1_to_M,axiom,
    ( ~ rinvQ_1_to_M('fmb_$i_1','fmb_$i_1')
    & ~ rinvQ_1_to_M('fmb_$i_1','fmb_$i_2')
    & ~ rinvQ_1_to_M('fmb_$i_1','fmb_$i_3')
    & ~ rinvQ_1_to_M('fmb_$i_1','fmb_$i_4')
    & ~ rinvQ_1_to_M('fmb_$i_1','fmb_$i_5')
    & ~ rinvQ_1_to_M('fmb_$i_1','fmb_$i_6')
    & rinvQ_1_to_M('fmb_$i_2','fmb_$i_1')
    & rinvQ_1_to_M('fmb_$i_2','fmb_$i_2')
    & rinvQ_1_to_M('fmb_$i_2','fmb_$i_3')
    & ~ rinvQ_1_to_M('fmb_$i_2','fmb_$i_4')
    & ~ rinvQ_1_to_M('fmb_$i_2','fmb_$i_5')
    & ~ rinvQ_1_to_M('fmb_$i_2','fmb_$i_6')
    & ~ rinvQ_1_to_M('fmb_$i_3','fmb_$i_1')
    & ~ rinvQ_1_to_M('fmb_$i_3','fmb_$i_2')
    & ~ rinvQ_1_to_M('fmb_$i_3','fmb_$i_3')
    & ~ rinvQ_1_to_M('fmb_$i_3','fmb_$i_4')
    & ~ rinvQ_1_to_M('fmb_$i_3','fmb_$i_5')
    & ~ rinvQ_1_to_M('fmb_$i_3','fmb_$i_6')
    & ~ rinvQ_1_to_M('fmb_$i_4','fmb_$i_1')
    & ~ rinvQ_1_to_M('fmb_$i_4','fmb_$i_2')
    & ~ rinvQ_1_to_M('fmb_$i_4','fmb_$i_3')
    & rinvQ_1_to_M('fmb_$i_4','fmb_$i_4')
    & rinvQ_1_to_M('fmb_$i_4','fmb_$i_5')
    & rinvQ_1_to_M('fmb_$i_4','fmb_$i_6')
    & ~ rinvQ_1_to_M('fmb_$i_5','fmb_$i_1')
    & ~ rinvQ_1_to_M('fmb_$i_5','fmb_$i_2')
    & ~ rinvQ_1_to_M('fmb_$i_5','fmb_$i_3')
    & ~ rinvQ_1_to_M('fmb_$i_5','fmb_$i_4')
    & ~ rinvQ_1_to_M('fmb_$i_5','fmb_$i_5')
    & ~ rinvQ_1_to_M('fmb_$i_5','fmb_$i_6')
    & ~ rinvQ_1_to_M('fmb_$i_6','fmb_$i_1')
    & ~ rinvQ_1_to_M('fmb_$i_6','fmb_$i_2')
    & ~ rinvQ_1_to_M('fmb_$i_6','fmb_$i_3')
    & ~ rinvQ_1_to_M('fmb_$i_6','fmb_$i_4')
    & ~ rinvQ_1_to_M('fmb_$i_6','fmb_$i_5')
    & ~ rinvQ_1_to_M('fmb_$i_6','fmb_$i_6') ) ).

tff(declare_rinvR_N_times_M_to_1,type,
    rinvR_N_times_M_to_1: ( $i * $i ) > $o ).

tff(predicate_rinvR_N_times_M_to_1,axiom,
    ( rinvR_N_times_M_to_1('fmb_$i_1','fmb_$i_1')
    & rinvR_N_times_M_to_1('fmb_$i_1','fmb_$i_2')
    & rinvR_N_times_M_to_1('fmb_$i_1','fmb_$i_3')
    & rinvR_N_times_M_to_1('fmb_$i_1','fmb_$i_4')
    & rinvR_N_times_M_to_1('fmb_$i_1','fmb_$i_5')
    & rinvR_N_times_M_to_1('fmb_$i_1','fmb_$i_6')
    & ~ rinvR_N_times_M_to_1('fmb_$i_2','fmb_$i_1')
    & ~ rinvR_N_times_M_to_1('fmb_$i_2','fmb_$i_2')
    & ~ rinvR_N_times_M_to_1('fmb_$i_2','fmb_$i_3')
    & ~ rinvR_N_times_M_to_1('fmb_$i_2','fmb_$i_4')
    & ~ rinvR_N_times_M_to_1('fmb_$i_2','fmb_$i_5')
    & ~ rinvR_N_times_M_to_1('fmb_$i_2','fmb_$i_6')
    & ~ rinvR_N_times_M_to_1('fmb_$i_3','fmb_$i_1')
    & ~ rinvR_N_times_M_to_1('fmb_$i_3','fmb_$i_2')
    & ~ rinvR_N_times_M_to_1('fmb_$i_3','fmb_$i_3')
    & ~ rinvR_N_times_M_to_1('fmb_$i_3','fmb_$i_4')
    & ~ rinvR_N_times_M_to_1('fmb_$i_3','fmb_$i_5')
    & ~ rinvR_N_times_M_to_1('fmb_$i_3','fmb_$i_6')
    & ~ rinvR_N_times_M_to_1('fmb_$i_4','fmb_$i_1')
    & ~ rinvR_N_times_M_to_1('fmb_$i_4','fmb_$i_2')
    & ~ rinvR_N_times_M_to_1('fmb_$i_4','fmb_$i_3')
    & ~ rinvR_N_times_M_to_1('fmb_$i_4','fmb_$i_4')
    & ~ rinvR_N_times_M_to_1('fmb_$i_4','fmb_$i_5')
    & ~ rinvR_N_times_M_to_1('fmb_$i_4','fmb_$i_6')
    & ~ rinvR_N_times_M_to_1('fmb_$i_5','fmb_$i_1')
    & ~ rinvR_N_times_M_to_1('fmb_$i_5','fmb_$i_2')
    & ~ rinvR_N_times_M_to_1('fmb_$i_5','fmb_$i_3')
    & ~ rinvR_N_times_M_to_1('fmb_$i_5','fmb_$i_4')
    & ~ rinvR_N_times_M_to_1('fmb_$i_5','fmb_$i_5')
    & ~ rinvR_N_times_M_to_1('fmb_$i_5','fmb_$i_6')
    & ~ rinvR_N_times_M_to_1('fmb_$i_6','fmb_$i_1')
    & ~ rinvR_N_times_M_to_1('fmb_$i_6','fmb_$i_2')
    & ~ rinvR_N_times_M_to_1('fmb_$i_6','fmb_$i_3')
    & ~ rinvR_N_times_M_to_1('fmb_$i_6','fmb_$i_4')
    & ~ rinvR_N_times_M_to_1('fmb_$i_6','fmb_$i_5')
    & ~ rinvR_N_times_M_to_1('fmb_$i_6','fmb_$i_6') ) ).

tff(declare_rp_N_to_1,type,
    rp_N_to_1: ( $i * $i ) > $o ).

tff(predicate_rp_N_to_1,axiom,
    ( ~ rp_N_to_1('fmb_$i_1','fmb_$i_1')
    & ~ rp_N_to_1('fmb_$i_1','fmb_$i_2')
    & ~ rp_N_to_1('fmb_$i_1','fmb_$i_3')
    & ~ rp_N_to_1('fmb_$i_1','fmb_$i_4')
    & ~ rp_N_to_1('fmb_$i_1','fmb_$i_5')
    & ~ rp_N_to_1('fmb_$i_1','fmb_$i_6')
    & rp_N_to_1('fmb_$i_2','fmb_$i_1')
    & ~ rp_N_to_1('fmb_$i_2','fmb_$i_2')
    & ~ rp_N_to_1('fmb_$i_2','fmb_$i_3')
    & ~ rp_N_to_1('fmb_$i_2','fmb_$i_4')
    & ~ rp_N_to_1('fmb_$i_2','fmb_$i_5')
    & ~ rp_N_to_1('fmb_$i_2','fmb_$i_6')
    & ~ rp_N_to_1('fmb_$i_3','fmb_$i_1')
    & ~ rp_N_to_1('fmb_$i_3','fmb_$i_2')
    & ~ rp_N_to_1('fmb_$i_3','fmb_$i_3')
    & ~ rp_N_to_1('fmb_$i_3','fmb_$i_4')
    & ~ rp_N_to_1('fmb_$i_3','fmb_$i_5')
    & ~ rp_N_to_1('fmb_$i_3','fmb_$i_6')
    & rp_N_to_1('fmb_$i_4','fmb_$i_1')
    & ~ rp_N_to_1('fmb_$i_4','fmb_$i_2')
    & ~ rp_N_to_1('fmb_$i_4','fmb_$i_3')
    & ~ rp_N_to_1('fmb_$i_4','fmb_$i_4')
    & ~ rp_N_to_1('fmb_$i_4','fmb_$i_5')
    & ~ rp_N_to_1('fmb_$i_4','fmb_$i_6')
    & ~ rp_N_to_1('fmb_$i_5','fmb_$i_1')
    & ~ rp_N_to_1('fmb_$i_5','fmb_$i_2')
    & ~ rp_N_to_1('fmb_$i_5','fmb_$i_3')
    & ~ rp_N_to_1('fmb_$i_5','fmb_$i_4')
    & ~ rp_N_to_1('fmb_$i_5','fmb_$i_5')
    & ~ rp_N_to_1('fmb_$i_5','fmb_$i_6')
    & ~ rp_N_to_1('fmb_$i_6','fmb_$i_1')
    & ~ rp_N_to_1('fmb_$i_6','fmb_$i_2')
    & ~ rp_N_to_1('fmb_$i_6','fmb_$i_3')
    & ~ rp_N_to_1('fmb_$i_6','fmb_$i_4')
    & ~ rp_N_to_1('fmb_$i_6','fmb_$i_5')
    & ~ rp_N_to_1('fmb_$i_6','fmb_$i_6') ) ).

tff(declare_rq_M_to_1,type,
    rq_M_to_1: ( $i * $i ) > $o ).

tff(predicate_rq_M_to_1,axiom,
    ( ~ rq_M_to_1('fmb_$i_1','fmb_$i_1')
    & rq_M_to_1('fmb_$i_1','fmb_$i_2')
    & ~ rq_M_to_1('fmb_$i_1','fmb_$i_3')
    & ~ rq_M_to_1('fmb_$i_1','fmb_$i_4')
    & ~ rq_M_to_1('fmb_$i_1','fmb_$i_5')
    & ~ rq_M_to_1('fmb_$i_1','fmb_$i_6')
    & ~ rq_M_to_1('fmb_$i_2','fmb_$i_1')
    & rq_M_to_1('fmb_$i_2','fmb_$i_2')
    & ~ rq_M_to_1('fmb_$i_2','fmb_$i_3')
    & ~ rq_M_to_1('fmb_$i_2','fmb_$i_4')
    & ~ rq_M_to_1('fmb_$i_2','fmb_$i_5')
    & ~ rq_M_to_1('fmb_$i_2','fmb_$i_6')
    & ~ rq_M_to_1('fmb_$i_3','fmb_$i_1')
    & rq_M_to_1('fmb_$i_3','fmb_$i_2')
    & ~ rq_M_to_1('fmb_$i_3','fmb_$i_3')
    & ~ rq_M_to_1('fmb_$i_3','fmb_$i_4')
    & ~ rq_M_to_1('fmb_$i_3','fmb_$i_5')
    & ~ rq_M_to_1('fmb_$i_3','fmb_$i_6')
    & ~ rq_M_to_1('fmb_$i_4','fmb_$i_1')
    & ~ rq_M_to_1('fmb_$i_4','fmb_$i_2')
    & ~ rq_M_to_1('fmb_$i_4','fmb_$i_3')
    & rq_M_to_1('fmb_$i_4','fmb_$i_4')
    & ~ rq_M_to_1('fmb_$i_4','fmb_$i_5')
    & ~ rq_M_to_1('fmb_$i_4','fmb_$i_6')
    & ~ rq_M_to_1('fmb_$i_5','fmb_$i_1')
    & ~ rq_M_to_1('fmb_$i_5','fmb_$i_2')
    & ~ rq_M_to_1('fmb_$i_5','fmb_$i_3')
    & rq_M_to_1('fmb_$i_5','fmb_$i_4')
    & ~ rq_M_to_1('fmb_$i_5','fmb_$i_5')
    & ~ rq_M_to_1('fmb_$i_5','fmb_$i_6')
    & ~ rq_M_to_1('fmb_$i_6','fmb_$i_1')
    & ~ rq_M_to_1('fmb_$i_6','fmb_$i_2')
    & ~ rq_M_to_1('fmb_$i_6','fmb_$i_3')
    & rq_M_to_1('fmb_$i_6','fmb_$i_4')
    & ~ rq_M_to_1('fmb_$i_6','fmb_$i_5')
    & ~ rq_M_to_1('fmb_$i_6','fmb_$i_6') ) ).

tff(declare_rr_N_times_M_to_1,type,
    rr_N_times_M_to_1: ( $i * $i ) > $o ).

tff(predicate_rr_N_times_M_to_1,axiom,
    ( rr_N_times_M_to_1('fmb_$i_1','fmb_$i_1')
    & ~ rr_N_times_M_to_1('fmb_$i_1','fmb_$i_2')
    & ~ rr_N_times_M_to_1('fmb_$i_1','fmb_$i_3')
    & ~ rr_N_times_M_to_1('fmb_$i_1','fmb_$i_4')
    & ~ rr_N_times_M_to_1('fmb_$i_1','fmb_$i_5')
    & ~ rr_N_times_M_to_1('fmb_$i_1','fmb_$i_6')
    & rr_N_times_M_to_1('fmb_$i_2','fmb_$i_1')
    & ~ rr_N_times_M_to_1('fmb_$i_2','fmb_$i_2')
    & ~ rr_N_times_M_to_1('fmb_$i_2','fmb_$i_3')
    & ~ rr_N_times_M_to_1('fmb_$i_2','fmb_$i_4')
    & ~ rr_N_times_M_to_1('fmb_$i_2','fmb_$i_5')
    & ~ rr_N_times_M_to_1('fmb_$i_2','fmb_$i_6')
    & rr_N_times_M_to_1('fmb_$i_3','fmb_$i_1')
    & ~ rr_N_times_M_to_1('fmb_$i_3','fmb_$i_2')
    & ~ rr_N_times_M_to_1('fmb_$i_3','fmb_$i_3')
    & ~ rr_N_times_M_to_1('fmb_$i_3','fmb_$i_4')
    & ~ rr_N_times_M_to_1('fmb_$i_3','fmb_$i_5')
    & ~ rr_N_times_M_to_1('fmb_$i_3','fmb_$i_6')
    & rr_N_times_M_to_1('fmb_$i_4','fmb_$i_1')
    & ~ rr_N_times_M_to_1('fmb_$i_4','fmb_$i_2')
    & ~ rr_N_times_M_to_1('fmb_$i_4','fmb_$i_3')
    & ~ rr_N_times_M_to_1('fmb_$i_4','fmb_$i_4')
    & ~ rr_N_times_M_to_1('fmb_$i_4','fmb_$i_5')
    & ~ rr_N_times_M_to_1('fmb_$i_4','fmb_$i_6')
    & rr_N_times_M_to_1('fmb_$i_5','fmb_$i_1')
    & ~ rr_N_times_M_to_1('fmb_$i_5','fmb_$i_2')
    & ~ rr_N_times_M_to_1('fmb_$i_5','fmb_$i_3')
    & ~ rr_N_times_M_to_1('fmb_$i_5','fmb_$i_4')
    & ~ rr_N_times_M_to_1('fmb_$i_5','fmb_$i_5')
    & ~ rr_N_times_M_to_1('fmb_$i_5','fmb_$i_6')
    & rr_N_times_M_to_1('fmb_$i_6','fmb_$i_1')
    & ~ rr_N_times_M_to_1('fmb_$i_6','fmb_$i_2')
    & ~ rr_N_times_M_to_1('fmb_$i_6','fmb_$i_3')
    & ~ rr_N_times_M_to_1('fmb_$i_6','fmb_$i_4')
    & ~ rr_N_times_M_to_1('fmb_$i_6','fmb_$i_5')
    & ~ rr_N_times_M_to_1('fmb_$i_6','fmb_$i_6') ) ).

tff(declare_xsd_integer,type,
    xsd_integer: $i > $o ).

tff(predicate_xsd_integer,axiom,
    ( xsd_integer('fmb_$i_1')
    & xsd_integer('fmb_$i_2')
    & xsd_integer('fmb_$i_3')
    & xsd_integer('fmb_$i_4')
    & xsd_integer('fmb_$i_5')
    & xsd_integer('fmb_$i_6') ) ).

tff(declare_xsd_string,type,
    xsd_string: $i > $o ).

tff(predicate_xsd_string,axiom,
    ( ~ xsd_string('fmb_$i_1')
    & ~ xsd_string('fmb_$i_2')
    & ~ xsd_string('fmb_$i_3')
    & ~ xsd_string('fmb_$i_4')
    & ~ xsd_string('fmb_$i_5')
    & ~ xsd_string('fmb_$i_6') ) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : KRS051+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.05  % Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.04/0.36  % Computer : n004.cluster.edu
% 0.04/0.36  % Model    : x86_64 x86_64
% 0.04/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.04/0.36  % Memory   : 8046.5625MB
% 0.04/0.36  % OS       : Linux 6.8.0-71-generic
% 0.04/0.36  % CPULimit : 300
% 0.04/0.36  % WCLimit  : 300
% 0.04/0.36  % DateTime : Sun Sep 27 13:17:53 UTC 2026
% 0.04/0.36  % CPUTime  : 
% 0.04/0.36  Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.04/0.39  Running first-order model finding
% 0.04/0.39  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
% 1.44/0.66  % (3523444)Will run a generic schedule for satisfiability detection.
% 1.44/0.66  % (3523453)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2426146865:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 1.44/0.66  % (3523450)% WARNING: option uhcvi not known.
% 1.44/0.66  % (3523452)dis+10_1_sil=32000:sp=arity:random_seed=4047725699:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 1.44/0.66  % (3523449)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=4147432379_2999 on theBenchmark for (2999ds/0Mi)
% 1.44/0.66  % (3523451)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1163748740:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 1.44/0.66  % (3523455)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3515667297:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 1.44/0.66  % (3523454)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=835622052:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 1.44/0.66  % (3523450)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2492790197:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 1.44/0.66  % TRYING [1]
% 1.44/0.66  % TRYING [2]
% 1.44/0.66  % TRYING [3]
% 1.44/0.66  % TRYING [4]
% 1.44/0.66  % (3523453)Instruction limit reached! 
% 1.44/0.66  % (3523453)------------------------------
% 1.44/0.66  % (3523453)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.44/0.66  % (3523453)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.44/0.66  % (3523453)CaDiCaL version: 2.1.3
% 1.44/0.66  % (3523453)Termination reason: Instruction limit
% 1.44/0.66  % (3523453)Termination phase: Saturation
% 1.44/0.66  % (3523453)Time elapsed: 0.026 s
% 1.44/0.66  % (3523453)Peak memory usage: 12 MB
% 1.44/0.66  % (3523453)Instructions burned: 119 (million)
% 1.44/0.66  % TRYING [5]
% 1.44/0.66  % (3523463)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=3783415138:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 1.44/0.66  % TRYING [1]
% 1.44/0.66  % TRYING [2]
% 1.44/0.66  % TRYING [3]
% 1.44/0.66  % TRYING [4]
% 1.44/0.66  % TRYING [5]
% 1.44/0.66  % (3523452)Instruction limit reached! 
% 1.44/0.66  % (3523452)------------------------------
% 1.44/0.66  % (3523452)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.44/0.66  % (3523452)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.44/0.66  % (3523452)CaDiCaL version: 2.1.3
% 1.44/0.66  % (3523452)Termination reason: Instruction limit
% 1.44/0.66  % (3523452)Termination phase: Saturation
% 1.44/0.66  % (3523452)Time elapsed: 0.042 s
% 1.44/0.66  % (3523452)Peak memory usage: 12 MB
% 1.44/0.66  % (3523452)Instructions burned: 104 (million)
% 1.44/0.66  % (3523454)Instruction limit reached! 
% 1.44/0.66  % (3523454)------------------------------
% 1.44/0.66  % (3523454)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.44/0.66  % (3523454)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.44/0.66  % (3523454)CaDiCaL version: 2.1.3
% 1.44/0.66  % (3523454)Termination reason: Instruction limit
% 1.44/0.66  % (3523454)Termination phase: Saturation
% 1.44/0.66  % (3523454)Time elapsed: 0.049 s
% 1.44/0.66  % (3523454)Peak memory usage: 12 MB
% 1.44/0.66  % (3523454)Instructions burned: 132 (million)
% 1.44/0.66  % TRYING [6]
% 1.44/0.66  % (3523465)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=1044013148:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 1.44/0.66  % TRYING [6]
% 1.44/0.66  % (3523466)dis+11_32_anc=none:slsqr=2,1:sil=64000:sas=cadical:lma=off:lsd=50:s2agt=8:slsqc=1:kmz=on:newcnf=on:slsq=on:random_seed=3523312555:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2999 on theBenchmark for (2999ds/684Mi)
% 1.44/0.66  % (3523455)Instruction limit reached! 
% 1.44/0.66  % (3523455)------------------------------
% 1.44/0.66  % (3523455)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.44/0.66  % (3523455)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.44/0.66  % (3523455)CaDiCaL version: 2.1.3
% 1.44/0.66  % (3523455)Termination reason: Instruction limit
% 1.44/0.66  % (3523455)Termination phase: Saturation
% 1.44/0.66  % (3523455)Time elapsed: 0.070 s
% 1.44/0.66  % (3523455)Peak memory usage: 13 MB
% 1.44/0.66  % (3523455)Instructions burned: 162 (million)
% 1.44/0.66  % (3523469)ott-21_1_sil=16000:fs=off:random_seed=1325797238:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 1.44/0.66  % (3523465)Instruction limit reached! 
% 1.44/0.66  % (3523465)------------------------------
% 1.44/0.66  % (3523465)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.44/0.66  % (3523465)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.44/0.66  % (3523465)CaDiCaL version: 2.1.3
% 1.44/0.66  % (3523465)Termination reason: Instruction limit
% 1.44/0.66  % (3523465)Termination phase: Saturation
% 1.44/0.66  % (3523465)Time elapsed: 0.057 s
% 1.44/0.66  % (3523465)Peak memory usage: 12 MB
% 1.44/0.66  % (3523465)Instructions burned: 134 (million)
% 1.44/0.66  % (3523471)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=696195457:i=477:bd=all_2998 on theBenchmark for (2998ds/477Mi)
% 1.44/0.66  % (3523463)Instruction limit reached! 
% 1.44/0.66  % (3523463)------------------------------
% 1.44/0.66  % (3523463)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.44/0.66  % (3523463)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.44/0.66  % (3523463)CaDiCaL version: 2.1.3
% 1.44/0.66  % (3523463)Termination reason: Instruction limit
% 1.44/0.66  % (3523463)Termination phase: Finite model building constraint generation
% 1.44/0.66  % (3523463)Time elapsed: 0.110 s
% 1.44/0.66  % (3523463)Peak memory usage: 13 MB
% 1.44/0.66  % (3523463)Instructions burned: 718 (million)
% 1.44/0.66  % (3523473)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=2587948162:fmbsr=1.3:i=865:ins=25_2998 on theBenchmark for (2998ds/865Mi)
% 1.44/0.66  % TRYING [1]
% 1.44/0.66  % TRYING [2]
% 1.44/0.66  % TRYING [3]
% 1.44/0.66  % TRYING [4]
% 1.44/0.66  % TRYING [5]
% 1.44/0.66  % (3523469)Instruction limit reached! 
% 1.44/0.66  % (3523469)------------------------------
% 1.44/0.66  % (3523469)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.44/0.66  % (3523469)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.44/0.66  % (3523469)CaDiCaL version: 2.1.3
% 1.44/0.66  % (3523469)Termination reason: Instruction limit
% 1.44/0.66  % (3523469)Termination phase: Saturation
% 1.44/0.66  % (3523469)Time elapsed: 0.085 s
% 1.44/0.66  % (3523469)Peak memory usage: 12 MB
% 1.44/0.66  % (3523469)Instructions burned: 181 (million)
% 1.44/0.66  % TRYING [6]
% 1.44/0.66  % (3523475)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=2608290975:i=1179_2997 on theBenchmark for (2997ds/1179Mi)
% 1.44/0.66  % Finite Model Found!
% 1.44/0.66  % SZS status Satisfiable for theBenchmark
% 1.44/0.66  % (3523449) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3523444-3523449"...
% 1.44/0.66  % (3523449)...printing done.
% 1.44/0.66  % SZS output start FiniteModel for theBenchmark
% See solution above
% 1.44/0.67  % (3523449)------------------------------
% 1.44/0.67  % (3523449)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.44/0.67  % (3523449)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.44/0.67  % (3523449)CaDiCaL version: 2.1.3
% 1.44/0.67  % (3523449)Termination reason: Satisfiable
% 1.44/0.67  % (3523449)Time elapsed: 0.221 s
% 1.44/0.67  % (3523449)Peak memory usage: 15 MB
% 1.44/0.67  % (3523449)Instructions burned: 743 (million)
% 1.44/0.67  % (3523444)Success in time 0.262 s
% 1.44/0.67  % Vampire exiting
%------------------------------------------------------------------------------