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

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---5.0.1
% Problem  : LAT125-1 : 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 : n005.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 11:47:54 AM UTC 2026

% Result   : Satisfiable 116.03s 38.57s
% Output   : FiniteModel 116.03s
% 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('declare_$i7',type,
    'fmb_$i_7': $i ).

tff('declare_$i8',type,
    'fmb_$i_8': $i ).

tff('declare_$i9',type,
    'fmb_$i_9': $i ).

tff('declare_$i10',type,
    'fmb_$i_10': $i ).

tff('declare_$i11',type,
    'fmb_$i_11': $i ).

tff('declare_$i12',type,
    'fmb_$i_12': $i ).

tff('declare_$i13',type,
    'fmb_$i_13': $i ).

tff('declare_$i14',type,
    'fmb_$i_14': $i ).

tff('declare_$i15',type,
    'fmb_$i_15': $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_$i_6' )
      | ( X = 'fmb_$i_7' )
      | ( X = 'fmb_$i_8' )
      | ( X = 'fmb_$i_9' )
      | ( X = 'fmb_$i_10' )
      | ( X = 'fmb_$i_11' )
      | ( X = 'fmb_$i_12' )
      | ( X = 'fmb_$i_13' )
      | ( X = 'fmb_$i_14' )
      | ( X = 'fmb_$i_15' ) ) ).

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_1' != 'fmb_$i_7' )
    & ( 'fmb_$i_1' != 'fmb_$i_8' )
    & ( 'fmb_$i_1' != 'fmb_$i_9' )
    & ( 'fmb_$i_1' != 'fmb_$i_10' )
    & ( 'fmb_$i_1' != 'fmb_$i_11' )
    & ( 'fmb_$i_1' != 'fmb_$i_12' )
    & ( 'fmb_$i_1' != 'fmb_$i_13' )
    & ( 'fmb_$i_1' != 'fmb_$i_14' )
    & ( 'fmb_$i_1' != 'fmb_$i_15' )
    & ( 'fmb_$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_2' != 'fmb_$i_7' )
    & ( 'fmb_$i_2' != 'fmb_$i_8' )
    & ( 'fmb_$i_2' != 'fmb_$i_9' )
    & ( 'fmb_$i_2' != 'fmb_$i_10' )
    & ( 'fmb_$i_2' != 'fmb_$i_11' )
    & ( 'fmb_$i_2' != 'fmb_$i_12' )
    & ( 'fmb_$i_2' != 'fmb_$i_13' )
    & ( 'fmb_$i_2' != 'fmb_$i_14' )
    & ( 'fmb_$i_2' != 'fmb_$i_15' )
    & ( 'fmb_$i_3' != 'fmb_$i_4' )
    & ( 'fmb_$i_3' != 'fmb_$i_5' )
    & ( 'fmb_$i_3' != 'fmb_$i_6' )
    & ( 'fmb_$i_3' != 'fmb_$i_7' )
    & ( 'fmb_$i_3' != 'fmb_$i_8' )
    & ( 'fmb_$i_3' != 'fmb_$i_9' )
    & ( 'fmb_$i_3' != 'fmb_$i_10' )
    & ( 'fmb_$i_3' != 'fmb_$i_11' )
    & ( 'fmb_$i_3' != 'fmb_$i_12' )
    & ( 'fmb_$i_3' != 'fmb_$i_13' )
    & ( 'fmb_$i_3' != 'fmb_$i_14' )
    & ( 'fmb_$i_3' != 'fmb_$i_15' )
    & ( 'fmb_$i_4' != 'fmb_$i_5' )
    & ( 'fmb_$i_4' != 'fmb_$i_6' )
    & ( 'fmb_$i_4' != 'fmb_$i_7' )
    & ( 'fmb_$i_4' != 'fmb_$i_8' )
    & ( 'fmb_$i_4' != 'fmb_$i_9' )
    & ( 'fmb_$i_4' != 'fmb_$i_10' )
    & ( 'fmb_$i_4' != 'fmb_$i_11' )
    & ( 'fmb_$i_4' != 'fmb_$i_12' )
    & ( 'fmb_$i_4' != 'fmb_$i_13' )
    & ( 'fmb_$i_4' != 'fmb_$i_14' )
    & ( 'fmb_$i_4' != 'fmb_$i_15' )
    & ( 'fmb_$i_5' != 'fmb_$i_6' )
    & ( 'fmb_$i_5' != 'fmb_$i_7' )
    & ( 'fmb_$i_5' != 'fmb_$i_8' )
    & ( 'fmb_$i_5' != 'fmb_$i_9' )
    & ( 'fmb_$i_5' != 'fmb_$i_10' )
    & ( 'fmb_$i_5' != 'fmb_$i_11' )
    & ( 'fmb_$i_5' != 'fmb_$i_12' )
    & ( 'fmb_$i_5' != 'fmb_$i_13' )
    & ( 'fmb_$i_5' != 'fmb_$i_14' )
    & ( 'fmb_$i_5' != 'fmb_$i_15' )
    & ( 'fmb_$i_6' != 'fmb_$i_7' )
    & ( 'fmb_$i_6' != 'fmb_$i_8' )
    & ( 'fmb_$i_6' != 'fmb_$i_9' )
    & ( 'fmb_$i_6' != 'fmb_$i_10' )
    & ( 'fmb_$i_6' != 'fmb_$i_11' )
    & ( 'fmb_$i_6' != 'fmb_$i_12' )
    & ( 'fmb_$i_6' != 'fmb_$i_13' )
    & ( 'fmb_$i_6' != 'fmb_$i_14' )
    & ( 'fmb_$i_6' != 'fmb_$i_15' )
    & ( 'fmb_$i_7' != 'fmb_$i_8' )
    & ( 'fmb_$i_7' != 'fmb_$i_9' )
    & ( 'fmb_$i_7' != 'fmb_$i_10' )
    & ( 'fmb_$i_7' != 'fmb_$i_11' )
    & ( 'fmb_$i_7' != 'fmb_$i_12' )
    & ( 'fmb_$i_7' != 'fmb_$i_13' )
    & ( 'fmb_$i_7' != 'fmb_$i_14' )
    & ( 'fmb_$i_7' != 'fmb_$i_15' )
    & ( 'fmb_$i_8' != 'fmb_$i_9' )
    & ( 'fmb_$i_8' != 'fmb_$i_10' )
    & ( 'fmb_$i_8' != 'fmb_$i_11' )
    & ( 'fmb_$i_8' != 'fmb_$i_12' )
    & ( 'fmb_$i_8' != 'fmb_$i_13' )
    & ( 'fmb_$i_8' != 'fmb_$i_14' )
    & ( 'fmb_$i_8' != 'fmb_$i_15' )
    & ( 'fmb_$i_9' != 'fmb_$i_10' )
    & ( 'fmb_$i_9' != 'fmb_$i_11' )
    & ( 'fmb_$i_9' != 'fmb_$i_12' )
    & ( 'fmb_$i_9' != 'fmb_$i_13' )
    & ( 'fmb_$i_9' != 'fmb_$i_14' )
    & ( 'fmb_$i_9' != 'fmb_$i_15' )
    & ( 'fmb_$i_10' != 'fmb_$i_11' )
    & ( 'fmb_$i_10' != 'fmb_$i_12' )
    & ( 'fmb_$i_10' != 'fmb_$i_13' )
    & ( 'fmb_$i_10' != 'fmb_$i_14' )
    & ( 'fmb_$i_10' != 'fmb_$i_15' )
    & ( 'fmb_$i_11' != 'fmb_$i_12' )
    & ( 'fmb_$i_11' != 'fmb_$i_13' )
    & ( 'fmb_$i_11' != 'fmb_$i_14' )
    & ( 'fmb_$i_11' != 'fmb_$i_15' )
    & ( 'fmb_$i_12' != 'fmb_$i_13' )
    & ( 'fmb_$i_12' != 'fmb_$i_14' )
    & ( 'fmb_$i_12' != 'fmb_$i_15' )
    & ( 'fmb_$i_13' != 'fmb_$i_14' )
    & ( 'fmb_$i_13' != 'fmb_$i_15' )
    & ( 'fmb_$i_14' != 'fmb_$i_15' ) ) ).

tff(declare_a,type,
    a: $i ).

tff(a_definition,axiom,
    a = 'fmb_$i_1' ).

tff(declare_b,type,
    b: $i ).

tff(b_definition,axiom,
    b = 'fmb_$i_2' ).

tff(declare_c,type,
    c: $i ).

tff(c_definition,axiom,
    c = 'fmb_$i_3' ).

tff(declare_meet,type,
    meet: ( $i * $i ) > $i ).

tff(function_meet,axiom,
    ( ( meet('fmb_$i_1','fmb_$i_1') = 'fmb_$i_1' )
    & ( meet('fmb_$i_1','fmb_$i_2') = 'fmb_$i_5' )
    & ( meet('fmb_$i_1','fmb_$i_3') = 'fmb_$i_8' )
    & ( meet('fmb_$i_1','fmb_$i_4') = 'fmb_$i_1' )
    & ( meet('fmb_$i_1','fmb_$i_5') = 'fmb_$i_5' )
    & ( meet('fmb_$i_1','fmb_$i_6') = 'fmb_$i_7' )
    & ( meet('fmb_$i_1','fmb_$i_7') = 'fmb_$i_7' )
    & ( meet('fmb_$i_1','fmb_$i_8') = 'fmb_$i_8' )
    & ( meet('fmb_$i_1','fmb_$i_9') = 'fmb_$i_10' )
    & ( meet('fmb_$i_1','fmb_$i_10') = 'fmb_$i_10' )
    & ( meet('fmb_$i_1','fmb_$i_11') = 'fmb_$i_11' )
    & ( meet('fmb_$i_1','fmb_$i_12') = 'fmb_$i_12' )
    & ( meet('fmb_$i_1','fmb_$i_13') = 'fmb_$i_1' )
    & ( meet('fmb_$i_1','fmb_$i_14') = 'fmb_$i_14' )
    & ( meet('fmb_$i_1','fmb_$i_15') = 'fmb_$i_1' )
    & ( meet('fmb_$i_2','fmb_$i_1') = 'fmb_$i_5' )
    & ( meet('fmb_$i_2','fmb_$i_2') = 'fmb_$i_2' )
    & ( meet('fmb_$i_2','fmb_$i_3') = 'fmb_$i_14' )
    & ( meet('fmb_$i_2','fmb_$i_4') = 'fmb_$i_2' )
    & ( meet('fmb_$i_2','fmb_$i_5') = 'fmb_$i_5' )
    & ( meet('fmb_$i_2','fmb_$i_6') = 'fmb_$i_5' )
    & ( meet('fmb_$i_2','fmb_$i_7') = 'fmb_$i_5' )
    & ( meet('fmb_$i_2','fmb_$i_8') = 'fmb_$i_14' )
    & ( meet('fmb_$i_2','fmb_$i_9') = 'fmb_$i_2' )
    & ( meet('fmb_$i_2','fmb_$i_10') = 'fmb_$i_5' )
    & ( meet('fmb_$i_2','fmb_$i_11') = 'fmb_$i_5' )
    & ( meet('fmb_$i_2','fmb_$i_12') = 'fmb_$i_5' )
    & ( meet('fmb_$i_2','fmb_$i_13') = 'fmb_$i_2' )
    & ( meet('fmb_$i_2','fmb_$i_14') = 'fmb_$i_14' )
    & ( meet('fmb_$i_2','fmb_$i_15') = 'fmb_$i_5' )
    & ( meet('fmb_$i_3','fmb_$i_1') = 'fmb_$i_8' )
    & ( meet('fmb_$i_3','fmb_$i_2') = 'fmb_$i_14' )
    & ( meet('fmb_$i_3','fmb_$i_3') = 'fmb_$i_3' )
    & ( meet('fmb_$i_3','fmb_$i_4') = 'fmb_$i_3' )
    & ( meet('fmb_$i_3','fmb_$i_5') = 'fmb_$i_14' )
    & ( meet('fmb_$i_3','fmb_$i_6') = 'fmb_$i_3' )
    & ( meet('fmb_$i_3','fmb_$i_7') = 'fmb_$i_8' )
    & ( meet('fmb_$i_3','fmb_$i_8') = 'fmb_$i_8' )
    & ( meet('fmb_$i_3','fmb_$i_9') = 'fmb_$i_8' )
    & ( meet('fmb_$i_3','fmb_$i_10') = 'fmb_$i_8' )
    & ( meet('fmb_$i_3','fmb_$i_11') = 'fmb_$i_8' )
    & ( meet('fmb_$i_3','fmb_$i_12') = 'fmb_$i_8' )
    & ( meet('fmb_$i_3','fmb_$i_13') = 'fmb_$i_8' )
    & ( meet('fmb_$i_3','fmb_$i_14') = 'fmb_$i_14' )
    & ( meet('fmb_$i_3','fmb_$i_15') = 'fmb_$i_3' )
    & ( meet('fmb_$i_4','fmb_$i_1') = 'fmb_$i_1' )
    & ( meet('fmb_$i_4','fmb_$i_2') = 'fmb_$i_2' )
    & ( meet('fmb_$i_4','fmb_$i_3') = 'fmb_$i_3' )
    & ( meet('fmb_$i_4','fmb_$i_4') = 'fmb_$i_4' )
    & ( meet('fmb_$i_4','fmb_$i_5') = 'fmb_$i_5' )
    & ( meet('fmb_$i_4','fmb_$i_6') = 'fmb_$i_6' )
    & ( meet('fmb_$i_4','fmb_$i_7') = 'fmb_$i_7' )
    & ( meet('fmb_$i_4','fmb_$i_8') = 'fmb_$i_8' )
    & ( meet('fmb_$i_4','fmb_$i_9') = 'fmb_$i_9' )
    & ( meet('fmb_$i_4','fmb_$i_10') = 'fmb_$i_10' )
    & ( meet('fmb_$i_4','fmb_$i_11') = 'fmb_$i_11' )
    & ( meet('fmb_$i_4','fmb_$i_12') = 'fmb_$i_12' )
    & ( meet('fmb_$i_4','fmb_$i_13') = 'fmb_$i_13' )
    & ( meet('fmb_$i_4','fmb_$i_14') = 'fmb_$i_14' )
    & ( meet('fmb_$i_4','fmb_$i_15') = 'fmb_$i_15' )
    & ( meet('fmb_$i_5','fmb_$i_1') = 'fmb_$i_5' )
    & ( meet('fmb_$i_5','fmb_$i_2') = 'fmb_$i_5' )
    & ( meet('fmb_$i_5','fmb_$i_3') = 'fmb_$i_14' )
    & ( meet('fmb_$i_5','fmb_$i_4') = 'fmb_$i_5' )
    & ( meet('fmb_$i_5','fmb_$i_5') = 'fmb_$i_5' )
    & ( meet('fmb_$i_5','fmb_$i_6') = 'fmb_$i_5' )
    & ( meet('fmb_$i_5','fmb_$i_7') = 'fmb_$i_5' )
    & ( meet('fmb_$i_5','fmb_$i_8') = 'fmb_$i_14' )
    & ( meet('fmb_$i_5','fmb_$i_9') = 'fmb_$i_5' )
    & ( meet('fmb_$i_5','fmb_$i_10') = 'fmb_$i_5' )
    & ( meet('fmb_$i_5','fmb_$i_11') = 'fmb_$i_5' )
    & ( meet('fmb_$i_5','fmb_$i_12') = 'fmb_$i_5' )
    & ( meet('fmb_$i_5','fmb_$i_13') = 'fmb_$i_5' )
    & ( meet('fmb_$i_5','fmb_$i_14') = 'fmb_$i_14' )
    & ( meet('fmb_$i_5','fmb_$i_15') = 'fmb_$i_5' )
    & ( meet('fmb_$i_6','fmb_$i_1') = 'fmb_$i_7' )
    & ( meet('fmb_$i_6','fmb_$i_2') = 'fmb_$i_5' )
    & ( meet('fmb_$i_6','fmb_$i_3') = 'fmb_$i_3' )
    & ( meet('fmb_$i_6','fmb_$i_4') = 'fmb_$i_6' )
    & ( meet('fmb_$i_6','fmb_$i_5') = 'fmb_$i_5' )
    & ( meet('fmb_$i_6','fmb_$i_6') = 'fmb_$i_6' )
    & ( meet('fmb_$i_6','fmb_$i_7') = 'fmb_$i_7' )
    & ( meet('fmb_$i_6','fmb_$i_8') = 'fmb_$i_8' )
    & ( meet('fmb_$i_6','fmb_$i_9') = 'fmb_$i_12' )
    & ( meet('fmb_$i_6','fmb_$i_10') = 'fmb_$i_12' )
    & ( meet('fmb_$i_6','fmb_$i_11') = 'fmb_$i_7' )
    & ( meet('fmb_$i_6','fmb_$i_12') = 'fmb_$i_12' )
    & ( meet('fmb_$i_6','fmb_$i_13') = 'fmb_$i_7' )
    & ( meet('fmb_$i_6','fmb_$i_14') = 'fmb_$i_14' )
    & ( meet('fmb_$i_6','fmb_$i_15') = 'fmb_$i_6' )
    & ( meet('fmb_$i_7','fmb_$i_1') = 'fmb_$i_7' )
    & ( meet('fmb_$i_7','fmb_$i_2') = 'fmb_$i_5' )
    & ( meet('fmb_$i_7','fmb_$i_3') = 'fmb_$i_8' )
    & ( meet('fmb_$i_7','fmb_$i_4') = 'fmb_$i_7' )
    & ( meet('fmb_$i_7','fmb_$i_5') = 'fmb_$i_5' )
    & ( meet('fmb_$i_7','fmb_$i_6') = 'fmb_$i_7' )
    & ( meet('fmb_$i_7','fmb_$i_7') = 'fmb_$i_7' )
    & ( meet('fmb_$i_7','fmb_$i_8') = 'fmb_$i_8' )
    & ( meet('fmb_$i_7','fmb_$i_9') = 'fmb_$i_12' )
    & ( meet('fmb_$i_7','fmb_$i_10') = 'fmb_$i_12' )
    & ( meet('fmb_$i_7','fmb_$i_11') = 'fmb_$i_7' )
    & ( meet('fmb_$i_7','fmb_$i_12') = 'fmb_$i_12' )
    & ( meet('fmb_$i_7','fmb_$i_13') = 'fmb_$i_7' )
    & ( meet('fmb_$i_7','fmb_$i_14') = 'fmb_$i_14' )
    & ( meet('fmb_$i_7','fmb_$i_15') = 'fmb_$i_7' )
    & ( meet('fmb_$i_8','fmb_$i_1') = 'fmb_$i_8' )
    & ( meet('fmb_$i_8','fmb_$i_2') = 'fmb_$i_14' )
    & ( meet('fmb_$i_8','fmb_$i_3') = 'fmb_$i_8' )
    & ( meet('fmb_$i_8','fmb_$i_4') = 'fmb_$i_8' )
    & ( meet('fmb_$i_8','fmb_$i_5') = 'fmb_$i_14' )
    & ( meet('fmb_$i_8','fmb_$i_6') = 'fmb_$i_8' )
    & ( meet('fmb_$i_8','fmb_$i_7') = 'fmb_$i_8' )
    & ( meet('fmb_$i_8','fmb_$i_8') = 'fmb_$i_8' )
    & ( meet('fmb_$i_8','fmb_$i_9') = 'fmb_$i_8' )
    & ( meet('fmb_$i_8','fmb_$i_10') = 'fmb_$i_8' )
    & ( meet('fmb_$i_8','fmb_$i_11') = 'fmb_$i_8' )
    & ( meet('fmb_$i_8','fmb_$i_12') = 'fmb_$i_8' )
    & ( meet('fmb_$i_8','fmb_$i_13') = 'fmb_$i_8' )
    & ( meet('fmb_$i_8','fmb_$i_14') = 'fmb_$i_14' )
    & ( meet('fmb_$i_8','fmb_$i_15') = 'fmb_$i_8' )
    & ( meet('fmb_$i_9','fmb_$i_1') = 'fmb_$i_10' )
    & ( meet('fmb_$i_9','fmb_$i_2') = 'fmb_$i_2' )
    & ( meet('fmb_$i_9','fmb_$i_3') = 'fmb_$i_8' )
    & ( meet('fmb_$i_9','fmb_$i_4') = 'fmb_$i_9' )
    & ( meet('fmb_$i_9','fmb_$i_5') = 'fmb_$i_5' )
    & ( meet('fmb_$i_9','fmb_$i_6') = 'fmb_$i_12' )
    & ( meet('fmb_$i_9','fmb_$i_7') = 'fmb_$i_12' )
    & ( meet('fmb_$i_9','fmb_$i_8') = 'fmb_$i_8' )
    & ( meet('fmb_$i_9','fmb_$i_9') = 'fmb_$i_9' )
    & ( meet('fmb_$i_9','fmb_$i_10') = 'fmb_$i_10' )
    & ( meet('fmb_$i_9','fmb_$i_11') = 'fmb_$i_10' )
    & ( meet('fmb_$i_9','fmb_$i_12') = 'fmb_$i_12' )
    & ( meet('fmb_$i_9','fmb_$i_13') = 'fmb_$i_9' )
    & ( meet('fmb_$i_9','fmb_$i_14') = 'fmb_$i_14' )
    & ( meet('fmb_$i_9','fmb_$i_15') = 'fmb_$i_10' )
    & ( meet('fmb_$i_10','fmb_$i_1') = 'fmb_$i_10' )
    & ( meet('fmb_$i_10','fmb_$i_2') = 'fmb_$i_5' )
    & ( meet('fmb_$i_10','fmb_$i_3') = 'fmb_$i_8' )
    & ( meet('fmb_$i_10','fmb_$i_4') = 'fmb_$i_10' )
    & ( meet('fmb_$i_10','fmb_$i_5') = 'fmb_$i_5' )
    & ( meet('fmb_$i_10','fmb_$i_6') = 'fmb_$i_12' )
    & ( meet('fmb_$i_10','fmb_$i_7') = 'fmb_$i_12' )
    & ( meet('fmb_$i_10','fmb_$i_8') = 'fmb_$i_8' )
    & ( meet('fmb_$i_10','fmb_$i_9') = 'fmb_$i_10' )
    & ( meet('fmb_$i_10','fmb_$i_10') = 'fmb_$i_10' )
    & ( meet('fmb_$i_10','fmb_$i_11') = 'fmb_$i_10' )
    & ( meet('fmb_$i_10','fmb_$i_12') = 'fmb_$i_12' )
    & ( meet('fmb_$i_10','fmb_$i_13') = 'fmb_$i_10' )
    & ( meet('fmb_$i_10','fmb_$i_14') = 'fmb_$i_14' )
    & ( meet('fmb_$i_10','fmb_$i_15') = 'fmb_$i_10' )
    & ( meet('fmb_$i_11','fmb_$i_1') = 'fmb_$i_11' )
    & ( meet('fmb_$i_11','fmb_$i_2') = 'fmb_$i_5' )
    & ( meet('fmb_$i_11','fmb_$i_3') = 'fmb_$i_8' )
    & ( meet('fmb_$i_11','fmb_$i_4') = 'fmb_$i_11' )
    & ( meet('fmb_$i_11','fmb_$i_5') = 'fmb_$i_5' )
    & ( meet('fmb_$i_11','fmb_$i_6') = 'fmb_$i_7' )
    & ( meet('fmb_$i_11','fmb_$i_7') = 'fmb_$i_7' )
    & ( meet('fmb_$i_11','fmb_$i_8') = 'fmb_$i_8' )
    & ( meet('fmb_$i_11','fmb_$i_9') = 'fmb_$i_10' )
    & ( meet('fmb_$i_11','fmb_$i_10') = 'fmb_$i_10' )
    & ( meet('fmb_$i_11','fmb_$i_11') = 'fmb_$i_11' )
    & ( meet('fmb_$i_11','fmb_$i_12') = 'fmb_$i_12' )
    & ( meet('fmb_$i_11','fmb_$i_13') = 'fmb_$i_11' )
    & ( meet('fmb_$i_11','fmb_$i_14') = 'fmb_$i_14' )
    & ( meet('fmb_$i_11','fmb_$i_15') = 'fmb_$i_11' )
    & ( meet('fmb_$i_12','fmb_$i_1') = 'fmb_$i_12' )
    & ( meet('fmb_$i_12','fmb_$i_2') = 'fmb_$i_5' )
    & ( meet('fmb_$i_12','fmb_$i_3') = 'fmb_$i_8' )
    & ( meet('fmb_$i_12','fmb_$i_4') = 'fmb_$i_12' )
    & ( meet('fmb_$i_12','fmb_$i_5') = 'fmb_$i_5' )
    & ( meet('fmb_$i_12','fmb_$i_6') = 'fmb_$i_12' )
    & ( meet('fmb_$i_12','fmb_$i_7') = 'fmb_$i_12' )
    & ( meet('fmb_$i_12','fmb_$i_8') = 'fmb_$i_8' )
    & ( meet('fmb_$i_12','fmb_$i_9') = 'fmb_$i_12' )
    & ( meet('fmb_$i_12','fmb_$i_10') = 'fmb_$i_12' )
    & ( meet('fmb_$i_12','fmb_$i_11') = 'fmb_$i_12' )
    & ( meet('fmb_$i_12','fmb_$i_12') = 'fmb_$i_12' )
    & ( meet('fmb_$i_12','fmb_$i_13') = 'fmb_$i_12' )
    & ( meet('fmb_$i_12','fmb_$i_14') = 'fmb_$i_14' )
    & ( meet('fmb_$i_12','fmb_$i_15') = 'fmb_$i_12' )
    & ( meet('fmb_$i_13','fmb_$i_1') = 'fmb_$i_1' )
    & ( meet('fmb_$i_13','fmb_$i_2') = 'fmb_$i_2' )
    & ( meet('fmb_$i_13','fmb_$i_3') = 'fmb_$i_8' )
    & ( meet('fmb_$i_13','fmb_$i_4') = 'fmb_$i_13' )
    & ( meet('fmb_$i_13','fmb_$i_5') = 'fmb_$i_5' )
    & ( meet('fmb_$i_13','fmb_$i_6') = 'fmb_$i_7' )
    & ( meet('fmb_$i_13','fmb_$i_7') = 'fmb_$i_7' )
    & ( meet('fmb_$i_13','fmb_$i_8') = 'fmb_$i_8' )
    & ( meet('fmb_$i_13','fmb_$i_9') = 'fmb_$i_9' )
    & ( meet('fmb_$i_13','fmb_$i_10') = 'fmb_$i_10' )
    & ( meet('fmb_$i_13','fmb_$i_11') = 'fmb_$i_11' )
    & ( meet('fmb_$i_13','fmb_$i_12') = 'fmb_$i_12' )
    & ( meet('fmb_$i_13','fmb_$i_13') = 'fmb_$i_13' )
    & ( meet('fmb_$i_13','fmb_$i_14') = 'fmb_$i_14' )
    & ( meet('fmb_$i_13','fmb_$i_15') = 'fmb_$i_1' )
    & ( meet('fmb_$i_14','fmb_$i_1') = 'fmb_$i_14' )
    & ( meet('fmb_$i_14','fmb_$i_2') = 'fmb_$i_14' )
    & ( meet('fmb_$i_14','fmb_$i_3') = 'fmb_$i_14' )
    & ( meet('fmb_$i_14','fmb_$i_4') = 'fmb_$i_14' )
    & ( meet('fmb_$i_14','fmb_$i_5') = 'fmb_$i_14' )
    & ( meet('fmb_$i_14','fmb_$i_6') = 'fmb_$i_14' )
    & ( meet('fmb_$i_14','fmb_$i_7') = 'fmb_$i_14' )
    & ( meet('fmb_$i_14','fmb_$i_8') = 'fmb_$i_14' )
    & ( meet('fmb_$i_14','fmb_$i_9') = 'fmb_$i_14' )
    & ( meet('fmb_$i_14','fmb_$i_10') = 'fmb_$i_14' )
    & ( meet('fmb_$i_14','fmb_$i_11') = 'fmb_$i_14' )
    & ( meet('fmb_$i_14','fmb_$i_12') = 'fmb_$i_14' )
    & ( meet('fmb_$i_14','fmb_$i_13') = 'fmb_$i_14' )
    & ( meet('fmb_$i_14','fmb_$i_14') = 'fmb_$i_14' )
    & ( meet('fmb_$i_14','fmb_$i_15') = 'fmb_$i_14' )
    & ( meet('fmb_$i_15','fmb_$i_1') = 'fmb_$i_1' )
    & ( meet('fmb_$i_15','fmb_$i_2') = 'fmb_$i_5' )
    & ( meet('fmb_$i_15','fmb_$i_3') = 'fmb_$i_3' )
    & ( meet('fmb_$i_15','fmb_$i_4') = 'fmb_$i_15' )
    & ( meet('fmb_$i_15','fmb_$i_5') = 'fmb_$i_5' )
    & ( meet('fmb_$i_15','fmb_$i_6') = 'fmb_$i_6' )
    & ( meet('fmb_$i_15','fmb_$i_7') = 'fmb_$i_7' )
    & ( meet('fmb_$i_15','fmb_$i_8') = 'fmb_$i_8' )
    & ( meet('fmb_$i_15','fmb_$i_9') = 'fmb_$i_10' )
    & ( meet('fmb_$i_15','fmb_$i_10') = 'fmb_$i_10' )
    & ( meet('fmb_$i_15','fmb_$i_11') = 'fmb_$i_11' )
    & ( meet('fmb_$i_15','fmb_$i_12') = 'fmb_$i_12' )
    & ( meet('fmb_$i_15','fmb_$i_13') = 'fmb_$i_1' )
    & ( meet('fmb_$i_15','fmb_$i_14') = 'fmb_$i_14' )
    & ( meet('fmb_$i_15','fmb_$i_15') = 'fmb_$i_15' ) ) ).

tff(declare_join,type,
    join: ( $i * $i ) > $i ).

tff(function_join,axiom,
    ( ( join('fmb_$i_1','fmb_$i_1') = 'fmb_$i_1' )
    & ( join('fmb_$i_1','fmb_$i_2') = 'fmb_$i_13' )
    & ( join('fmb_$i_1','fmb_$i_3') = 'fmb_$i_15' )
    & ( join('fmb_$i_1','fmb_$i_4') = 'fmb_$i_4' )
    & ( join('fmb_$i_1','fmb_$i_5') = 'fmb_$i_1' )
    & ( join('fmb_$i_1','fmb_$i_6') = 'fmb_$i_15' )
    & ( join('fmb_$i_1','fmb_$i_7') = 'fmb_$i_1' )
    & ( join('fmb_$i_1','fmb_$i_8') = 'fmb_$i_1' )
    & ( join('fmb_$i_1','fmb_$i_9') = 'fmb_$i_13' )
    & ( join('fmb_$i_1','fmb_$i_10') = 'fmb_$i_1' )
    & ( join('fmb_$i_1','fmb_$i_11') = 'fmb_$i_1' )
    & ( join('fmb_$i_1','fmb_$i_12') = 'fmb_$i_1' )
    & ( join('fmb_$i_1','fmb_$i_13') = 'fmb_$i_13' )
    & ( join('fmb_$i_1','fmb_$i_14') = 'fmb_$i_1' )
    & ( join('fmb_$i_1','fmb_$i_15') = 'fmb_$i_15' )
    & ( join('fmb_$i_2','fmb_$i_1') = 'fmb_$i_13' )
    & ( join('fmb_$i_2','fmb_$i_2') = 'fmb_$i_2' )
    & ( join('fmb_$i_2','fmb_$i_3') = 'fmb_$i_4' )
    & ( join('fmb_$i_2','fmb_$i_4') = 'fmb_$i_4' )
    & ( join('fmb_$i_2','fmb_$i_5') = 'fmb_$i_2' )
    & ( join('fmb_$i_2','fmb_$i_6') = 'fmb_$i_4' )
    & ( join('fmb_$i_2','fmb_$i_7') = 'fmb_$i_13' )
    & ( join('fmb_$i_2','fmb_$i_8') = 'fmb_$i_9' )
    & ( join('fmb_$i_2','fmb_$i_9') = 'fmb_$i_9' )
    & ( join('fmb_$i_2','fmb_$i_10') = 'fmb_$i_9' )
    & ( join('fmb_$i_2','fmb_$i_11') = 'fmb_$i_13' )
    & ( join('fmb_$i_2','fmb_$i_12') = 'fmb_$i_9' )
    & ( join('fmb_$i_2','fmb_$i_13') = 'fmb_$i_13' )
    & ( join('fmb_$i_2','fmb_$i_14') = 'fmb_$i_2' )
    & ( join('fmb_$i_2','fmb_$i_15') = 'fmb_$i_4' )
    & ( join('fmb_$i_3','fmb_$i_1') = 'fmb_$i_15' )
    & ( join('fmb_$i_3','fmb_$i_2') = 'fmb_$i_4' )
    & ( join('fmb_$i_3','fmb_$i_3') = 'fmb_$i_3' )
    & ( join('fmb_$i_3','fmb_$i_4') = 'fmb_$i_4' )
    & ( join('fmb_$i_3','fmb_$i_5') = 'fmb_$i_6' )
    & ( join('fmb_$i_3','fmb_$i_6') = 'fmb_$i_6' )
    & ( join('fmb_$i_3','fmb_$i_7') = 'fmb_$i_6' )
    & ( join('fmb_$i_3','fmb_$i_8') = 'fmb_$i_3' )
    & ( join('fmb_$i_3','fmb_$i_9') = 'fmb_$i_4' )
    & ( join('fmb_$i_3','fmb_$i_10') = 'fmb_$i_15' )
    & ( join('fmb_$i_3','fmb_$i_11') = 'fmb_$i_15' )
    & ( join('fmb_$i_3','fmb_$i_12') = 'fmb_$i_6' )
    & ( join('fmb_$i_3','fmb_$i_13') = 'fmb_$i_4' )
    & ( join('fmb_$i_3','fmb_$i_14') = 'fmb_$i_3' )
    & ( join('fmb_$i_3','fmb_$i_15') = 'fmb_$i_15' )
    & ( join('fmb_$i_4','fmb_$i_1') = 'fmb_$i_4' )
    & ( join('fmb_$i_4','fmb_$i_2') = 'fmb_$i_4' )
    & ( join('fmb_$i_4','fmb_$i_3') = 'fmb_$i_4' )
    & ( join('fmb_$i_4','fmb_$i_4') = 'fmb_$i_4' )
    & ( join('fmb_$i_4','fmb_$i_5') = 'fmb_$i_4' )
    & ( join('fmb_$i_4','fmb_$i_6') = 'fmb_$i_4' )
    & ( join('fmb_$i_4','fmb_$i_7') = 'fmb_$i_4' )
    & ( join('fmb_$i_4','fmb_$i_8') = 'fmb_$i_4' )
    & ( join('fmb_$i_4','fmb_$i_9') = 'fmb_$i_4' )
    & ( join('fmb_$i_4','fmb_$i_10') = 'fmb_$i_4' )
    & ( join('fmb_$i_4','fmb_$i_11') = 'fmb_$i_4' )
    & ( join('fmb_$i_4','fmb_$i_12') = 'fmb_$i_4' )
    & ( join('fmb_$i_4','fmb_$i_13') = 'fmb_$i_4' )
    & ( join('fmb_$i_4','fmb_$i_14') = 'fmb_$i_4' )
    & ( join('fmb_$i_4','fmb_$i_15') = 'fmb_$i_4' )
    & ( join('fmb_$i_5','fmb_$i_1') = 'fmb_$i_1' )
    & ( join('fmb_$i_5','fmb_$i_2') = 'fmb_$i_2' )
    & ( join('fmb_$i_5','fmb_$i_3') = 'fmb_$i_6' )
    & ( join('fmb_$i_5','fmb_$i_4') = 'fmb_$i_4' )
    & ( join('fmb_$i_5','fmb_$i_5') = 'fmb_$i_5' )
    & ( join('fmb_$i_5','fmb_$i_6') = 'fmb_$i_6' )
    & ( join('fmb_$i_5','fmb_$i_7') = 'fmb_$i_7' )
    & ( join('fmb_$i_5','fmb_$i_8') = 'fmb_$i_12' )
    & ( join('fmb_$i_5','fmb_$i_9') = 'fmb_$i_9' )
    & ( join('fmb_$i_5','fmb_$i_10') = 'fmb_$i_10' )
    & ( join('fmb_$i_5','fmb_$i_11') = 'fmb_$i_11' )
    & ( join('fmb_$i_5','fmb_$i_12') = 'fmb_$i_12' )
    & ( join('fmb_$i_5','fmb_$i_13') = 'fmb_$i_13' )
    & ( join('fmb_$i_5','fmb_$i_14') = 'fmb_$i_5' )
    & ( join('fmb_$i_5','fmb_$i_15') = 'fmb_$i_15' )
    & ( join('fmb_$i_6','fmb_$i_1') = 'fmb_$i_15' )
    & ( join('fmb_$i_6','fmb_$i_2') = 'fmb_$i_4' )
    & ( join('fmb_$i_6','fmb_$i_3') = 'fmb_$i_6' )
    & ( join('fmb_$i_6','fmb_$i_4') = 'fmb_$i_4' )
    & ( join('fmb_$i_6','fmb_$i_5') = 'fmb_$i_6' )
    & ( join('fmb_$i_6','fmb_$i_6') = 'fmb_$i_6' )
    & ( join('fmb_$i_6','fmb_$i_7') = 'fmb_$i_6' )
    & ( join('fmb_$i_6','fmb_$i_8') = 'fmb_$i_6' )
    & ( join('fmb_$i_6','fmb_$i_9') = 'fmb_$i_4' )
    & ( join('fmb_$i_6','fmb_$i_10') = 'fmb_$i_15' )
    & ( join('fmb_$i_6','fmb_$i_11') = 'fmb_$i_15' )
    & ( join('fmb_$i_6','fmb_$i_12') = 'fmb_$i_6' )
    & ( join('fmb_$i_6','fmb_$i_13') = 'fmb_$i_4' )
    & ( join('fmb_$i_6','fmb_$i_14') = 'fmb_$i_6' )
    & ( join('fmb_$i_6','fmb_$i_15') = 'fmb_$i_15' )
    & ( join('fmb_$i_7','fmb_$i_1') = 'fmb_$i_1' )
    & ( join('fmb_$i_7','fmb_$i_2') = 'fmb_$i_13' )
    & ( join('fmb_$i_7','fmb_$i_3') = 'fmb_$i_6' )
    & ( join('fmb_$i_7','fmb_$i_4') = 'fmb_$i_4' )
    & ( join('fmb_$i_7','fmb_$i_5') = 'fmb_$i_7' )
    & ( join('fmb_$i_7','fmb_$i_6') = 'fmb_$i_6' )
    & ( join('fmb_$i_7','fmb_$i_7') = 'fmb_$i_7' )
    & ( join('fmb_$i_7','fmb_$i_8') = 'fmb_$i_7' )
    & ( join('fmb_$i_7','fmb_$i_9') = 'fmb_$i_13' )
    & ( join('fmb_$i_7','fmb_$i_10') = 'fmb_$i_11' )
    & ( join('fmb_$i_7','fmb_$i_11') = 'fmb_$i_11' )
    & ( join('fmb_$i_7','fmb_$i_12') = 'fmb_$i_7' )
    & ( join('fmb_$i_7','fmb_$i_13') = 'fmb_$i_13' )
    & ( join('fmb_$i_7','fmb_$i_14') = 'fmb_$i_7' )
    & ( join('fmb_$i_7','fmb_$i_15') = 'fmb_$i_15' )
    & ( join('fmb_$i_8','fmb_$i_1') = 'fmb_$i_1' )
    & ( join('fmb_$i_8','fmb_$i_2') = 'fmb_$i_9' )
    & ( join('fmb_$i_8','fmb_$i_3') = 'fmb_$i_3' )
    & ( join('fmb_$i_8','fmb_$i_4') = 'fmb_$i_4' )
    & ( join('fmb_$i_8','fmb_$i_5') = 'fmb_$i_12' )
    & ( join('fmb_$i_8','fmb_$i_6') = 'fmb_$i_6' )
    & ( join('fmb_$i_8','fmb_$i_7') = 'fmb_$i_7' )
    & ( join('fmb_$i_8','fmb_$i_8') = 'fmb_$i_8' )
    & ( join('fmb_$i_8','fmb_$i_9') = 'fmb_$i_9' )
    & ( join('fmb_$i_8','fmb_$i_10') = 'fmb_$i_10' )
    & ( join('fmb_$i_8','fmb_$i_11') = 'fmb_$i_11' )
    & ( join('fmb_$i_8','fmb_$i_12') = 'fmb_$i_12' )
    & ( join('fmb_$i_8','fmb_$i_13') = 'fmb_$i_13' )
    & ( join('fmb_$i_8','fmb_$i_14') = 'fmb_$i_8' )
    & ( join('fmb_$i_8','fmb_$i_15') = 'fmb_$i_15' )
    & ( join('fmb_$i_9','fmb_$i_1') = 'fmb_$i_13' )
    & ( join('fmb_$i_9','fmb_$i_2') = 'fmb_$i_9' )
    & ( join('fmb_$i_9','fmb_$i_3') = 'fmb_$i_4' )
    & ( join('fmb_$i_9','fmb_$i_4') = 'fmb_$i_4' )
    & ( join('fmb_$i_9','fmb_$i_5') = 'fmb_$i_9' )
    & ( join('fmb_$i_9','fmb_$i_6') = 'fmb_$i_4' )
    & ( join('fmb_$i_9','fmb_$i_7') = 'fmb_$i_13' )
    & ( join('fmb_$i_9','fmb_$i_8') = 'fmb_$i_9' )
    & ( join('fmb_$i_9','fmb_$i_9') = 'fmb_$i_9' )
    & ( join('fmb_$i_9','fmb_$i_10') = 'fmb_$i_9' )
    & ( join('fmb_$i_9','fmb_$i_11') = 'fmb_$i_13' )
    & ( join('fmb_$i_9','fmb_$i_12') = 'fmb_$i_9' )
    & ( join('fmb_$i_9','fmb_$i_13') = 'fmb_$i_13' )
    & ( join('fmb_$i_9','fmb_$i_14') = 'fmb_$i_9' )
    & ( join('fmb_$i_9','fmb_$i_15') = 'fmb_$i_4' )
    & ( join('fmb_$i_10','fmb_$i_1') = 'fmb_$i_1' )
    & ( join('fmb_$i_10','fmb_$i_2') = 'fmb_$i_9' )
    & ( join('fmb_$i_10','fmb_$i_3') = 'fmb_$i_15' )
    & ( join('fmb_$i_10','fmb_$i_4') = 'fmb_$i_4' )
    & ( join('fmb_$i_10','fmb_$i_5') = 'fmb_$i_10' )
    & ( join('fmb_$i_10','fmb_$i_6') = 'fmb_$i_15' )
    & ( join('fmb_$i_10','fmb_$i_7') = 'fmb_$i_11' )
    & ( join('fmb_$i_10','fmb_$i_8') = 'fmb_$i_10' )
    & ( join('fmb_$i_10','fmb_$i_9') = 'fmb_$i_9' )
    & ( join('fmb_$i_10','fmb_$i_10') = 'fmb_$i_10' )
    & ( join('fmb_$i_10','fmb_$i_11') = 'fmb_$i_11' )
    & ( join('fmb_$i_10','fmb_$i_12') = 'fmb_$i_10' )
    & ( join('fmb_$i_10','fmb_$i_13') = 'fmb_$i_13' )
    & ( join('fmb_$i_10','fmb_$i_14') = 'fmb_$i_10' )
    & ( join('fmb_$i_10','fmb_$i_15') = 'fmb_$i_15' )
    & ( join('fmb_$i_11','fmb_$i_1') = 'fmb_$i_1' )
    & ( join('fmb_$i_11','fmb_$i_2') = 'fmb_$i_13' )
    & ( join('fmb_$i_11','fmb_$i_3') = 'fmb_$i_15' )
    & ( join('fmb_$i_11','fmb_$i_4') = 'fmb_$i_4' )
    & ( join('fmb_$i_11','fmb_$i_5') = 'fmb_$i_11' )
    & ( join('fmb_$i_11','fmb_$i_6') = 'fmb_$i_15' )
    & ( join('fmb_$i_11','fmb_$i_7') = 'fmb_$i_11' )
    & ( join('fmb_$i_11','fmb_$i_8') = 'fmb_$i_11' )
    & ( join('fmb_$i_11','fmb_$i_9') = 'fmb_$i_13' )
    & ( join('fmb_$i_11','fmb_$i_10') = 'fmb_$i_11' )
    & ( join('fmb_$i_11','fmb_$i_11') = 'fmb_$i_11' )
    & ( join('fmb_$i_11','fmb_$i_12') = 'fmb_$i_11' )
    & ( join('fmb_$i_11','fmb_$i_13') = 'fmb_$i_13' )
    & ( join('fmb_$i_11','fmb_$i_14') = 'fmb_$i_11' )
    & ( join('fmb_$i_11','fmb_$i_15') = 'fmb_$i_15' )
    & ( join('fmb_$i_12','fmb_$i_1') = 'fmb_$i_1' )
    & ( join('fmb_$i_12','fmb_$i_2') = 'fmb_$i_9' )
    & ( join('fmb_$i_12','fmb_$i_3') = 'fmb_$i_6' )
    & ( join('fmb_$i_12','fmb_$i_4') = 'fmb_$i_4' )
    & ( join('fmb_$i_12','fmb_$i_5') = 'fmb_$i_12' )
    & ( join('fmb_$i_12','fmb_$i_6') = 'fmb_$i_6' )
    & ( join('fmb_$i_12','fmb_$i_7') = 'fmb_$i_7' )
    & ( join('fmb_$i_12','fmb_$i_8') = 'fmb_$i_12' )
    & ( join('fmb_$i_12','fmb_$i_9') = 'fmb_$i_9' )
    & ( join('fmb_$i_12','fmb_$i_10') = 'fmb_$i_10' )
    & ( join('fmb_$i_12','fmb_$i_11') = 'fmb_$i_11' )
    & ( join('fmb_$i_12','fmb_$i_12') = 'fmb_$i_12' )
    & ( join('fmb_$i_12','fmb_$i_13') = 'fmb_$i_13' )
    & ( join('fmb_$i_12','fmb_$i_14') = 'fmb_$i_12' )
    & ( join('fmb_$i_12','fmb_$i_15') = 'fmb_$i_15' )
    & ( join('fmb_$i_13','fmb_$i_1') = 'fmb_$i_13' )
    & ( join('fmb_$i_13','fmb_$i_2') = 'fmb_$i_13' )
    & ( join('fmb_$i_13','fmb_$i_3') = 'fmb_$i_4' )
    & ( join('fmb_$i_13','fmb_$i_4') = 'fmb_$i_4' )
    & ( join('fmb_$i_13','fmb_$i_5') = 'fmb_$i_13' )
    & ( join('fmb_$i_13','fmb_$i_6') = 'fmb_$i_4' )
    & ( join('fmb_$i_13','fmb_$i_7') = 'fmb_$i_13' )
    & ( join('fmb_$i_13','fmb_$i_8') = 'fmb_$i_13' )
    & ( join('fmb_$i_13','fmb_$i_9') = 'fmb_$i_13' )
    & ( join('fmb_$i_13','fmb_$i_10') = 'fmb_$i_13' )
    & ( join('fmb_$i_13','fmb_$i_11') = 'fmb_$i_13' )
    & ( join('fmb_$i_13','fmb_$i_12') = 'fmb_$i_13' )
    & ( join('fmb_$i_13','fmb_$i_13') = 'fmb_$i_13' )
    & ( join('fmb_$i_13','fmb_$i_14') = 'fmb_$i_13' )
    & ( join('fmb_$i_13','fmb_$i_15') = 'fmb_$i_4' )
    & ( join('fmb_$i_14','fmb_$i_1') = 'fmb_$i_1' )
    & ( join('fmb_$i_14','fmb_$i_2') = 'fmb_$i_2' )
    & ( join('fmb_$i_14','fmb_$i_3') = 'fmb_$i_3' )
    & ( join('fmb_$i_14','fmb_$i_4') = 'fmb_$i_4' )
    & ( join('fmb_$i_14','fmb_$i_5') = 'fmb_$i_5' )
    & ( join('fmb_$i_14','fmb_$i_6') = 'fmb_$i_6' )
    & ( join('fmb_$i_14','fmb_$i_7') = 'fmb_$i_7' )
    & ( join('fmb_$i_14','fmb_$i_8') = 'fmb_$i_8' )
    & ( join('fmb_$i_14','fmb_$i_9') = 'fmb_$i_9' )
    & ( join('fmb_$i_14','fmb_$i_10') = 'fmb_$i_10' )
    & ( join('fmb_$i_14','fmb_$i_11') = 'fmb_$i_11' )
    & ( join('fmb_$i_14','fmb_$i_12') = 'fmb_$i_12' )
    & ( join('fmb_$i_14','fmb_$i_13') = 'fmb_$i_13' )
    & ( join('fmb_$i_14','fmb_$i_14') = 'fmb_$i_14' )
    & ( join('fmb_$i_14','fmb_$i_15') = 'fmb_$i_15' )
    & ( join('fmb_$i_15','fmb_$i_1') = 'fmb_$i_15' )
    & ( join('fmb_$i_15','fmb_$i_2') = 'fmb_$i_4' )
    & ( join('fmb_$i_15','fmb_$i_3') = 'fmb_$i_15' )
    & ( join('fmb_$i_15','fmb_$i_4') = 'fmb_$i_4' )
    & ( join('fmb_$i_15','fmb_$i_5') = 'fmb_$i_15' )
    & ( join('fmb_$i_15','fmb_$i_6') = 'fmb_$i_15' )
    & ( join('fmb_$i_15','fmb_$i_7') = 'fmb_$i_15' )
    & ( join('fmb_$i_15','fmb_$i_8') = 'fmb_$i_15' )
    & ( join('fmb_$i_15','fmb_$i_9') = 'fmb_$i_4' )
    & ( join('fmb_$i_15','fmb_$i_10') = 'fmb_$i_15' )
    & ( join('fmb_$i_15','fmb_$i_11') = 'fmb_$i_15' )
    & ( join('fmb_$i_15','fmb_$i_12') = 'fmb_$i_15' )
    & ( join('fmb_$i_15','fmb_$i_13') = 'fmb_$i_4' )
    & ( join('fmb_$i_15','fmb_$i_14') = 'fmb_$i_15' )
    & ( join('fmb_$i_15','fmb_$i_15') = 'fmb_$i_15' ) ) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04  % Problem  : LAT125-1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.08  % Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.16/0.44  % Computer : n005.cluster.edu
% 0.16/0.44  % Model    : x86_64 x86_64
% 0.16/0.44  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.44  % Memory   : 8046.5625MB
% 0.16/0.44  % OS       : Linux 6.8.0-71-generic
% 0.16/0.44  % CPULimit : 300
% 0.16/0.44  % WCLimit  : 300
% 0.16/0.44  % DateTime : Sun Sep 27 14:01:47 UTC 2026
% 0.16/0.45  % CPUTime  : 
% 0.16/0.45  Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.20/0.48  Running first-order model finding
% 0.20/0.48  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
% 26.35/4.28  % (4012472)Will run a generic schedule for satisfiability detection.
% 26.35/4.28  % (4012480)dis+10_1_sil=32000:sp=arity:random_seed=3624803913:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 26.35/4.28  % (4012478)% WARNING: option uhcvi not known.
% 26.35/4.28  % (4012478)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3199180417:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 26.35/4.28  % (4012477)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3152093285_2999 on theBenchmark for (2999ds/0Mi)
% 26.35/4.28  % (4012481)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=248466502:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 26.35/4.28  % (4012482)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2100612910:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 26.35/4.28  % (4012483)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1079796886:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 26.35/4.28  % (4012479)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=933578458:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 26.35/4.28  % TRYING [1]
% 26.35/4.28  % TRYING [2]
% 26.35/4.28  % TRYING [3]
% 26.35/4.28  % TRYING [4]
% 26.35/4.28  % (4012480)Instruction limit reached! 
% 26.35/4.28  % (4012480)------------------------------
% 26.35/4.28  % (4012480)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 26.35/4.28  % (4012480)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.35/4.28  % (4012480)CaDiCaL version: 2.1.3
% 26.35/4.28  % (4012480)Termination reason: Instruction limit
% 26.35/4.28  % (4012480)Termination phase: Saturation
% 26.35/4.28  % (4012480)Time elapsed: 0.050 s
% 26.35/4.28  % (4012480)Peak memory usage: 12 MB
% 26.35/4.28  % (4012480)Instructions burned: 104 (million)
% 26.35/4.28  % TRYING [5]
% 26.35/4.28  % (4012491)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=3324723739:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 26.35/4.28  % TRYING [1]
% 26.35/4.28  % TRYING [2]
% 26.35/4.28  % TRYING [3]
% 26.35/4.28  % TRYING [4]
% 26.35/4.28  % TRYING [5]
% 26.35/4.28  % (4012481)Instruction limit reached! 
% 26.35/4.28  % (4012481)------------------------------
% 26.35/4.28  % (4012481)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 26.35/4.28  % (4012481)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.35/4.28  % (4012481)CaDiCaL version: 2.1.3
% 26.35/4.28  % (4012481)Termination reason: Instruction limit
% 26.35/4.28  % (4012481)Termination phase: Saturation
% 26.35/4.28  % (4012481)Time elapsed: 0.110 s
% 26.35/4.28  % (4012481)Peak memory usage: 12 MB
% 26.35/4.28  % (4012481)Instructions burned: 117 (million)
% 26.35/4.28  % (4012482)Instruction limit reached! 
% 26.35/4.28  % (4012482)------------------------------
% 26.35/4.28  % (4012482)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 26.35/4.28  % (4012482)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.35/4.28  % (4012482)CaDiCaL version: 2.1.3
% 26.35/4.28  % (4012482)Termination reason: Instruction limit
% 26.35/4.28  % (4012482)Termination phase: Saturation
% 26.35/4.28  % (4012482)Time elapsed: 0.123 s
% 26.35/4.28  % (4012482)Peak memory usage: 12 MB
% 26.35/4.28  % (4012482)Instructions burned: 131 (million)
% 26.35/4.28  % TRYING [6]
% 26.35/4.28  % TRYING [6]
% 26.35/4.28  % (4012483)Instruction limit reached! 
% 26.35/4.28  % (4012483)------------------------------
% 26.35/4.28  % (4012483)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 26.35/4.28  % (4012483)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.35/4.28  % (4012483)CaDiCaL version: 2.1.3
% 26.35/4.28  % (4012483)Termination reason: Instruction limit
% 26.35/4.28  % (4012483)Termination phase: Saturation
% 26.35/4.28  % (4012483)Time elapsed: 0.154 s
% 26.35/4.28  % (4012483)Peak memory usage: 12 MB
% 26.35/4.28  % (4012483)Instructions burned: 159 (million)
% 26.35/4.28  % (4012493)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=1040728816:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 26.35/4.28  % (4012494)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=2369098091:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 26.35/4.28  % (4012496)ott-21_1_sil=16000:fs=off:random_seed=116229923:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 26.35/4.28  % (4012493)Instruction limit reached! 
% 26.35/4.28  % (4012493)------------------------------
% 26.35/4.28  % (4012493)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 69.55/10.34  % (4012493)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 69.55/10.34  % (4012493)CaDiCaL version: 2.1.3
% 69.55/10.34  % (4012493)Termination reason: Instruction limit
% 69.55/10.34  % (4012493)Termination phase: Saturation
% 69.55/10.34  % (4012493)Time elapsed: 0.134 s
% 69.55/10.34  % (4012493)Peak memory usage: 12 MB
% 69.55/10.34  % (4012493)Instructions burned: 131 (million)
% 69.55/10.34  % TRYING [7]
% 69.55/10.34  % (4012496)Instruction limit reached! 
% 69.55/10.34  % (4012496)------------------------------
% 69.55/10.34  % (4012496)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 69.55/10.34  % (4012496)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 69.55/10.34  % (4012496)CaDiCaL version: 2.1.3
% 69.55/10.34  % (4012496)Termination reason: Instruction limit
% 69.55/10.34  % (4012496)Termination phase: Saturation
% 69.55/10.34  % (4012496)Time elapsed: 0.142 s
% 69.55/10.34  % (4012496)Peak memory usage: 12 MB
% 69.55/10.34  % (4012496)Instructions burned: 180 (million)
% 69.55/10.34  % (4012499)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=3986636879:i=477:bd=all_2996 on theBenchmark for (2996ds/477Mi)
% 69.55/10.34  % (4012491)Instruction limit reached! 
% 69.55/10.34  % (4012491)------------------------------
% 69.55/10.34  % (4012491)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 69.55/10.34  % (4012491)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 69.55/10.34  % (4012491)CaDiCaL version: 2.1.3
% 69.55/10.34  % (4012491)Termination reason: Instruction limit
% 69.55/10.34  % (4012491)Termination phase: Finite model building constraint generation
% 69.55/10.34  % (4012491)Time elapsed: 0.290 s
% 69.55/10.34  % (4012491)Peak memory usage: 27 MB
% 69.55/10.34  % (4012491)Instructions burned: 714 (million)
% 69.55/10.34  % (4012500)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=1643764572:fmbsr=1.3:i=865:ins=25_2996 on theBenchmark for (2996ds/865Mi)
% 69.55/10.34  % TRYING [1]
% 69.55/10.34  % TRYING [2]
% 69.55/10.34  % TRYING [3]
% 69.55/10.34  % TRYING [4]
% 69.55/10.34  % TRYING [7]
% 69.55/10.34  % (4012503)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=2339869066:i=1179_2996 on theBenchmark for (2996ds/1179Mi)
% 69.55/10.34  % TRYING [5]
% 69.55/10.34  % TRYING [6]
% 69.55/10.34  % (4012500)Instruction limit reached! 
% 69.55/10.34  % (4012500)------------------------------
% 69.55/10.34  % (4012500)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 69.55/10.34  % (4012500)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 69.55/10.34  % (4012500)CaDiCaL version: 2.1.3
% 69.55/10.34  % (4012500)Termination reason: Instruction limit
% 69.55/10.34  % (4012500)Termination phase: Finite model building SAT solving
% 69.55/10.34  % (4012500)Time elapsed: 0.315 s
% 69.55/10.34  % (4012500)Peak memory usage: 22 MB
% 69.55/10.34  % (4012500)Instructions burned: 866 (million)
% 69.55/10.34  % (4012505)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=472898707:i=889:ins=1_2993 on theBenchmark for (2993ds/889Mi)
% 69.55/10.34  % (4012499)Instruction limit reached! 
% 69.55/10.34  % (4012499)------------------------------
% 69.55/10.34  % (4012499)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 69.55/10.34  % (4012499)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 69.55/10.34  % (4012499)CaDiCaL version: 2.1.3
% 69.55/10.34  % (4012499)Termination reason: Instruction limit
% 69.55/10.34  % (4012499)Termination phase: Saturation
% 69.55/10.34  % (4012499)Time elapsed: 0.420 s
% 69.55/10.34  % (4012499)Peak memory usage: 15 MB
% 69.55/10.34  % (4012499)Instructions burned: 477 (million)
% 69.55/10.34  % (4012494)Instruction limit reached! 
% 69.55/10.34  % (4012494)------------------------------
% 69.55/10.34  % (4012494)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 69.55/10.34  % (4012494)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 69.55/10.34  % (4012494)CaDiCaL version: 2.1.3
% 69.55/10.34  % (4012494)Termination reason: Instruction limit
% 69.55/10.34  % (4012494)Termination phase: Saturation
% 69.55/10.34  % (4012494)Time elapsed: 0.602 s
% 69.55/10.34  % (4012494)Peak memory usage: 17 MB
% 69.55/10.34  % (4012494)Instructions burned: 684 (million)
% 69.55/10.34  % (4012507)ott+1_16_sil=32000:plsq=on:plsqc=2:sas=cadical:avsql=on:sp=reverse_frequency:plsqr=128,1:bsr=unit_only:rp=on:newcnf=on:random_seed=3188788343:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2992 on theBenchmark for (2992ds/692Mi)
% 69.55/10.34  % (4012508)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=3902136652:i=879:kws=inv_precedence:fsr=off_2991 on theBenchmark for (2991ds/879Mi)
% 154.41/22.33  % TRYING [14]
% 154.41/22.33  % TRYING [8]
% 154.41/22.33  % (4012505)Instruction limit reached! 
% 154.41/22.33  % (4012505)------------------------------
% 154.41/22.33  % (4012505)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 154.41/22.33  % (4012505)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 154.41/22.33  % (4012505)CaDiCaL version: 2.1.3
% 154.41/22.33  % (4012505)Termination reason: Instruction limit
% 154.41/22.33  % (4012505)Termination phase: Finite model building constraint generation
% 154.41/22.33  % (4012505)Time elapsed: 0.378 s
% 154.41/22.33  % (4012505)Peak memory usage: 81 MB
% 154.41/22.33  % (4012505)Instructions burned: 890 (million)
% 154.41/22.33  % (4012512)fmb+10_1_sil=64000:random_seed=3138276400:i=22061:nm=2:gsp=on_2988 on theBenchmark for (2988ds/22061Mi)
% 154.41/22.33  % TRYING [1]
% 154.41/22.33  % TRYING [2]
% 154.41/22.33  % TRYING [3]
% 154.41/22.33  % TRYING [4]
% 154.41/22.33  % TRYING [5]
% 154.41/22.33  % TRYING [6]
% 154.41/22.33  % (4012507)Instruction limit reached! 
% 154.41/22.33  % (4012507)------------------------------
% 154.41/22.33  % (4012507)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 154.41/22.33  % (4012507)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 154.41/22.33  % (4012507)CaDiCaL version: 2.1.3
% 154.41/22.33  % (4012507)Termination reason: Instruction limit
% 154.41/22.33  % (4012507)Termination phase: Saturation
% 154.41/22.33  % (4012507)Time elapsed: 0.644 s
% 154.41/22.33  % (4012507)Peak memory usage: 17 MB
% 154.41/22.33  % (4012507)Instructions burned: 693 (million)
% 154.41/22.33  % (4012514)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=2930319047:i=9515:nm=5_2985 on theBenchmark for (2985ds/9515Mi)
% 154.41/22.33  % TRYING [20]
% 154.41/22.33  % (4012503)Instruction limit reached! 
% 154.41/22.33  % (4012503)------------------------------
% 154.41/22.33  % (4012503)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 154.41/22.33  % (4012503)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 154.41/22.33  % (4012503)CaDiCaL version: 2.1.3
% 154.41/22.33  % (4012503)Termination reason: Instruction limit
% 154.41/22.33  % (4012503)Termination phase: Saturation
% 154.41/22.33  % (4012503)Time elapsed: 1.163 s
% 154.41/22.33  % (4012503)Peak memory usage: 24 MB
% 154.41/22.33  % (4012503)Instructions burned: 1179 (million)
% 154.41/22.33  % (4012508)Instruction limit reached! 
% 154.41/22.33  % (4012508)------------------------------
% 154.41/22.33  % (4012508)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 154.41/22.33  % (4012508)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 154.41/22.33  % (4012508)CaDiCaL version: 2.1.3
% 154.41/22.33  % (4012508)Termination reason: Instruction limit
% 154.41/22.33  % (4012508)Termination phase: Saturation
% 154.41/22.33  % (4012508)Time elapsed: 0.773 s
% 154.41/22.33  % (4012508)Peak memory usage: 18 MB
% 154.41/22.33  % (4012508)Instructions burned: 879 (million)
% 154.41/22.33  % (4012516)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=3312006309:fmbsr=1.7:i=920_2984 on theBenchmark for (2984ds/920Mi)
% 154.41/22.33  % TRYING [8]
% 154.41/22.33  % (4012517)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=1217233476:i=5131_2983 on theBenchmark for (2983ds/5131Mi)
% 154.41/22.33  % TRYING [7]
% 154.41/22.33  % TRYING [9]
% 154.41/22.33  % TRYING [8]
% 154.41/22.33  % (4012516)Instruction limit reached! 
% 154.41/22.33  % (4012516)------------------------------
% 154.41/22.33  % (4012516)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 154.41/22.33  % (4012516)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 154.41/22.33  % (4012516)CaDiCaL version: 2.1.3
% 154.41/22.33  % (4012516)Termination reason: Instruction limit
% 154.41/22.33  % (4012516)Termination phase: Finite model building SAT solving
% 154.41/22.33  % (4012516)Time elapsed: 0.743 s
% 154.41/22.33  % (4012516)Peak memory usage: 62 MB
% 154.41/22.33  % (4012516)Instructions burned: 920 (million)
% 154.41/22.33  % (4012520)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=3643050304:i=1472:ins=7:fdi=8:gsp=on_2976 on theBenchmark for (2976ds/1472Mi)
% 154.41/22.33  % TRYING [9]
% 154.41/22.33  % (4012520)Instruction limit reached! 
% 154.41/22.33  % (4012520)------------------------------
% 154.41/22.33  % (4012520)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 154.41/22.33  % (4012520)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 154.41/22.33  % (4012520)CaDiCaL version: 2.1.3
% 154.41/22.33  % (4012520)Termination reason: Instruction limit
% 154.41/22.33  % (4012520)Termination phase: Saturation
% 154.41/22.33  % (4012520)Time elapsed: 1.332 s
% 154.41/22.33  % (4012520)Peak memory usage: 26 MB
% 154.41/22.33  % (4012520)Instructions burned: 1472 (million)
% 154.41/22.33  % (4012526)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=2540749986:i=6324_2962 on theBenchmark for (2962ds/6324Mi)
% 116.03/38.57  % TRYING [77]
% 116.03/38.57  % TRYING [10]
% 116.03/38.57  % (4012517)Instruction limit reached! 
% 116.03/38.57  % (4012517)------------------------------
% 116.03/38.57  % (4012517)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 116.03/38.57  % (4012517)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 116.03/38.57  % (4012517)CaDiCaL version: 2.1.3
% 116.03/38.57  % (4012517)Termination reason: Instruction limit
% 116.03/38.57  % (4012517)Termination phase: Saturation
% 116.03/38.57  % (4012517)Time elapsed: 4.520 s
% 116.03/38.57  % (4012517)Peak memory usage: 48 MB
% 116.03/38.57  % (4012517)Instructions burned: 5132 (million)
% 116.03/38.57  % (4012534)fmb+10_1_fmbas=function:sil=32000:sas=cadical:fmbss=16:random_seed=1110611057:fmbsr=2.30978:i=2174_2938 on theBenchmark for (2938ds/2174Mi)
% 116.03/38.57  % TRYING [16]
% 116.03/38.57  % TRYING [10]
% 116.03/38.57  % (4012534)Instruction limit reached! 
% 116.03/38.57  % (4012534)------------------------------
% 116.03/38.57  % (4012534)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 116.03/38.57  % (4012534)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 116.03/38.57  % (4012534)CaDiCaL version: 2.1.3
% 116.03/38.57  % (4012534)Termination reason: Instruction limit
% 116.03/38.57  % (4012534)Termination phase: Finite model building constraint generation
% 116.03/38.57  % (4012534)Time elapsed: 1.436 s
% 116.03/38.57  % (4012534)Peak memory usage: 134 MB
% 116.03/38.57  % (4012534)Instructions burned: 2175 (million)
% 116.03/38.57  % (4012536)ott-2_1_sil=16000:newcnf=on:random_seed=3754193447:avsq=on:i=869:avsqr=1,16:kws=inv_arity_squared_2923 on theBenchmark for (2923ds/869Mi)
% 116.03/38.57  % (4012526)Instruction limit reached! 
% 116.03/38.57  % (4012526)------------------------------
% 116.03/38.57  % (4012526)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 116.03/38.57  % (4012526)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 116.03/38.57  % (4012526)CaDiCaL version: 2.1.3
% 116.03/38.57  % (4012526)Termination reason: Instruction limit
% 116.03/38.57  % (4012526)Termination phase: Finite model building constraint generation
% 116.03/38.57  % (4012526)Time elapsed: 4.213 s
% 116.03/38.57  % (4012526)Peak memory usage: 457 MB
% 116.03/38.57  % (4012526)Instructions burned: 6324 (million)
% 116.03/38.57  % (4012538)ott+10_1_sil=32000:tgt=ground:random_seed=1949462683:i=5114:av=off_2919 on theBenchmark for (2919ds/5114Mi)
% 116.03/38.57  % (4012514)Instruction limit reached! 
% 116.03/38.57  % (4012514)------------------------------
% 116.03/38.57  % (4012514)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 116.03/38.57  % (4012514)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 116.03/38.57  % (4012514)CaDiCaL version: 2.1.3
% 116.03/38.57  % (4012514)Termination reason: Instruction limit
% 116.03/38.57  % (4012514)Termination phase: Finite model building constraint generation
% 116.03/38.57  % (4012514)Time elapsed: 6.837 s
% 116.03/38.57  % (4012514)Peak memory usage: 664 MB
% 116.03/38.57  % (4012514)Instructions burned: 9516 (million)
% 116.03/38.57  % (4012536)Instruction limit reached! 
% 116.03/38.57  % (4012536)------------------------------
% 116.03/38.57  % (4012536)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 116.03/38.57  % (4012536)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 116.03/38.57  % (4012536)CaDiCaL version: 2.1.3
% 116.03/38.57  % (4012536)Termination reason: Instruction limit
% 116.03/38.57  % (4012536)Termination phase: Saturation
% 116.03/38.57  % (4012536)Time elapsed: 0.778 s
% 116.03/38.57  % (4012536)Peak memory usage: 19 MB
% 116.03/38.57  % (4012536)Instructions burned: 869 (million)
% 116.03/38.57  % (4012540)fmb+10_1_sil=64000:sas=cadical:bce=on:rp=on:random_seed=2653739656:i=54282_2915 on theBenchmark for (2915ds/54282Mi)
% 116.03/38.57  % TRYING [1]
% 116.03/38.57  % TRYING [2]
% 116.03/38.57  % TRYING [3]
% 116.03/38.57  % TRYING [4]
% 116.03/38.57  % (4012541)dis-11_1_sil=16000:sp=reverse_frequency:alpa=true:random_seed=2860415:i=3512:aac=none_2914 on theBenchmark for (2914ds/3512Mi)
% 116.03/38.57  % TRYING [5]
% 116.03/38.57  % TRYING [6]
% 116.03/38.57  % TRYING [7]
% 116.03/38.57  % TRYING [11]
% 116.03/38.57  % TRYING [8]
% 116.03/38.57  % TRYING [11]
% 116.03/38.57  % (4012512)Instruction limit reached! 
% 116.03/38.57  % (4012512)------------------------------
% 116.03/38.57  % (4012512)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 116.03/38.57  % (4012512)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 116.03/38.57  % (4012512)CaDiCaL version: 2.1.3
% 116.03/38.57  % (4012512)Termination reason: Instruction limit
% 116.03/38.57  % (4012512)Termination phase: Finite model building constraint generation
% 116.03/38.57  % (4012512)Time elapsed: 8.710 s
% 116.03/38.57  % (4012512)Peak memory usage: 146 MB
% 116.03/38.57  % (4012512)Instructions burned: 22063 (million)
% 116.03/38.57  % (4012546)dis+21_1_sil=32000:sas=cadical:random_seed=333956627:i=3773:amm=off_2901 on theBenchmark for (2901ds/3773Mi)
% 116.03/38.57  % TRYING [9]
% 116.03/38.57  % (4012538)Instruction limit reached! 
% 116.03/38.57  % (4012538)------------------------------
% 116.03/38.57  % (4012538)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 116.03/38.57  % (4012538)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 116.03/38.57  % (4012538)CaDiCaL version: 2.1.3
% 116.03/38.57  % (4012538)Termination reason: Instruction limit
% 116.03/38.57  % (4012538)Termination phase: Saturation
% 116.03/38.57  % (4012538)Time elapsed: 3.458 s
% 116.03/38.57  % (4012538)Peak memory usage: 60 MB
% 116.03/38.57  % (4012538)Instructions burned: 5114 (million)
% 116.03/38.57  % (4012550)ott+11_1_sil=16000:gs=on:random_seed=2767914603:s2a=on:i=2251:s2at=3:kws=inv_arity_squared:nm=2:fsr=off:fsd=on_2883 on theBenchmark for (2883ds/2251Mi)
% 116.03/38.57  % (4012541)Instruction limit reached! 
% 116.03/38.57  % (4012541)------------------------------
% 116.03/38.57  % (4012541)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 116.03/38.57  % (4012541)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 116.03/38.57  % (4012541)CaDiCaL version: 2.1.3
% 116.03/38.57  % (4012541)Termination reason: Instruction limit
% 116.03/38.57  % (4012541)Termination phase: Saturation
% 116.03/38.57  % (4012541)Time elapsed: 3.116 s
% 116.03/38.57  % (4012541)Peak memory usage: 40 MB
% 116.03/38.57  % (4012541)Instructions burned: 3512 (million)
% 116.03/38.57  % (4012552)fmb+10_1_fmbas=predicate:sil=64000:tgt=ground:fmbss=7:random_seed=150023576:fmbsr=1.6:i=67534_2883 on theBenchmark for (2883ds/67534Mi)
% 116.03/38.57  % TRYING [7]
% 116.03/38.57  % TRYING [8]
% 116.03/38.57  % (4012546)Instruction limit reached! 
% 116.03/38.57  % (4012546)------------------------------
% 116.03/38.57  % (4012546)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 116.03/38.57  % (4012546)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 116.03/38.57  % (4012546)CaDiCaL version: 2.1.3
% 116.03/38.57  % (4012546)Termination reason: Instruction limit
% 116.03/38.57  % (4012546)Termination phase: Saturation
% 116.03/38.57  % (4012546)Time elapsed: 3.280 s
% 116.03/38.57  % (4012546)Peak memory usage: 40 MB
% 116.03/38.57  % (4012546)Instructions burned: 3773 (million)
% 116.03/38.57  % (4012556)ott-22_32_sil=16000:tgt=full:fdtod=off:sp=weighted_frequency:rnwc=on:alpa=false:random_seed=2708411205:avsq=on:i=4591:add=off:avsqr=1,16:kws=inv_arity:nm=10:ins=9:fdi=4_2868 on theBenchmark for (2868ds/4591Mi)
% 116.03/38.57  % TRYING [10]
% 116.03/38.57  % (4012550)Instruction limit reached! 
% 116.03/38.57  % (4012550)------------------------------
% 116.03/38.57  % (4012550)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 116.03/38.57  % (4012550)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 116.03/38.57  % (4012550)CaDiCaL version: 2.1.3
% 116.03/38.57  % (4012550)Termination reason: Instruction limit
% 116.03/38.57  % (4012550)Termination phase: Saturation
% 116.03/38.57  % (4012550)Time elapsed: 1.872 s
% 116.03/38.57  % (4012550)Peak memory usage: 25 MB
% 116.03/38.57  % (4012550)Instructions burned: 2253 (million)
% 116.03/38.57  % (4012558)dis+10_64_to=lpo:sil=32000:spb=intro:urr=on:sac=on:random_seed=1911073824:i=29340_2864 on theBenchmark for (2864ds/29340Mi)
% 116.03/38.57  % TRYING [9]
% 116.03/38.57  % TRYING [12]
% 116.03/38.57  % TRYING [10]
% 116.03/38.57  % (4012556)Instruction limit reached! 
% 116.03/38.57  % (4012556)------------------------------
% 116.03/38.57  % (4012556)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 116.03/38.57  % (4012556)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 116.03/38.57  % (4012556)CaDiCaL version: 2.1.3
% 116.03/38.57  % (4012556)Termination reason: Instruction limit
% 116.03/38.57  % (4012556)Termination phase: Saturation
% 116.03/38.57  % (4012556)Time elapsed: 4.124 s
% 116.03/38.57  % (4012556)Peak memory usage: 51 MB
% 116.03/38.57  % (4012556)Instructions burned: 4591 (million)
% 116.03/38.57  % (4012560)dis-10_1_sil=64000:sas=cadical:cn=on:random_seed=3217651950:i=5211_2826 on theBenchmark for (2826ds/5211Mi)
% 116.03/38.57  % TRYING [11]
% 116.03/38.57  % TRYING [11]
% 116.03/38.57  % (4012560)Instruction limit reached! 
% 116.03/38.57  % (4012560)------------------------------
% 116.03/38.57  % (4012560)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 116.03/38.57  % (4012560)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 116.03/38.57  % (4012560)CaDiCaL version: 2.1.3
% 116.03/38.57  % (4012560)Termination reason: Instruction limit
% 116.03/38.57  % (4012560)Termination phase: Saturation
% 116.03/38.57  % (4012560)Time elapsed: 4.450 s
% 116.03/38.57  % (4012560)Peak memory usage: 49 MB
% 116.03/38.57  % (4012560)Instructions burned: 5212 (million)
% 116.03/38.57  % (4012564)fmb+10_1_sil=32000:sas=cadical:bce=on:fmbss=17:random_seed=1314377452:i=5497:nm=2_2781 on theBenchmark for (2781ds/5497Mi)
% 116.03/38.57  % TRYING [17]
% 116.03/38.57  % TRYING [13]
% 116.03/38.57  % TRYING [12]
% 116.03/38.57  % (4012564)Instruction limit reached! 
% 116.03/38.57  % (4012564)------------------------------
% 116.03/38.57  % (4012564)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 116.03/38.57  % (4012564)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 116.03/38.57  % (4012564)CaDiCaL version: 2.1.3
% 116.03/38.57  % (4012564)Termination reason: Instruction limit
% 116.03/38.57  % (4012564)Termination phase: Finite model building constraint generation
% 116.03/38.57  % (4012564)Time elapsed: 3.937 s
% 116.03/38.57  % (4012564)Peak memory usage: 388 MB
% 116.03/38.57  % (4012564)Instructions burned: 5498 (million)
% 116.03/38.57  % (4012566)fmb+10_1_fmbas=predicate:sil=64000:tgt=full:sas=cadical:fmbss=15:random_seed=1493713118:fmbsr=2:i=46332_2741 on theBenchmark for (2741ds/46332Mi)
% 116.03/38.57  % TRYING [15]
% 116.03/38.57  % TRYING [12]
% 116.03/38.57  % TRYING [13]
% 116.03/38.57  % TRYING [13]
% 116.03/38.57  % TRYING [14]
% 116.03/38.57  % (4012558)Instruction limit reached! 
% 116.03/38.57  % (4012558)------------------------------
% 116.03/38.57  % (4012558)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 116.03/38.57  % (4012558)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 116.03/38.57  % (4012558)CaDiCaL version: 2.1.3
% 116.03/38.57  % (4012558)Termination reason: Instruction limit
% 116.03/38.57  % (4012558)Termination phase: Saturation
% 116.03/38.57  % (4012558)Time elapsed: 20.202 s
% 116.03/38.57  % (4012558)Peak memory usage: 132 MB
% 116.03/38.57  % (4012558)Instructions burned: 29341 (million)
% 116.03/38.57  % (4012721)fmb+10_1_sil=128000:tgt=full:sas=cadical:fmbss=12:random_seed=3237891633:i=14071_2661 on theBenchmark for (2661ds/14071Mi)
% 116.03/38.57  % TRYING [12]
% 116.03/38.57  % (4012552)Instruction limit reached! 
% 116.03/38.57  % (4012552)------------------------------
% 116.03/38.57  % (4012552)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 116.03/38.57  % (4012552)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 116.03/38.57  % (4012552)CaDiCaL version: 2.1.3
% 116.03/38.57  % (4012552)Termination reason: Instruction limit
% 116.03/38.57  % (4012552)Termination phase: Finite model building constraint generation
% 116.03/38.57  % (4012552)Time elapsed: 22.604 s
% 116.03/38.57  % (4012552)Peak memory usage: 374 MB
% 116.03/38.57  % (4012552)Instructions burned: 67536 (million)
% 116.03/38.57  % (4012723)dis+10_161_sil=128000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=244637093:i=22565:add=on:rawr=on_2656 on theBenchmark for (2656ds/22565Mi)
% 116.03/38.57  % Finite Model Found!
% 116.03/38.57  % SZS status Satisfiable for theBenchmark
% 116.03/38.57  % (4012566) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-4012472-4012566"...
% 116.03/38.57  % (4012566)...printing done.
% 116.03/38.57  % SZS output start FiniteModel for theBenchmark
% See solution above
% 116.03/38.57  % (4012566)------------------------------
% 116.03/38.57  % (4012566)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 116.03/38.57  % (4012566)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 116.03/38.57  % (4012566)CaDiCaL version: 2.1.3
% 116.03/38.57  % (4012566)Termination reason: Satisfiable
% 116.03/38.57  % (4012566)Time elapsed: 11.858 s
% 116.03/38.57  % (4012566)Peak memory usage: 1121 MB
% 116.03/38.57  % (4012566)Instructions burned: 23214 (million)
% 116.03/38.57  % (4012472)Success in time 38.074 s
% 116.03/38.57  % Vampire exiting
%------------------------------------------------------------------------------