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

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---5.0.1
% Problem  : LAT117-1 : 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 : n011.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 11:47:53 AM UTC 2026

% Result   : Satisfiable 155.43s 37.71s
% Output   : FiniteModel 155.43s
% 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_5' )
    & ( meet('fmb_$i_2','fmb_$i_14') = 'fmb_$i_14' )
    & ( meet('fmb_$i_2','fmb_$i_15') = 'fmb_$i_2' )
    & ( 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_$i_3' )
    & ( meet('fmb_$i_3','fmb_$i_14') = 'fmb_$i_14' )
    & ( meet('fmb_$i_3','fmb_$i_15') = 'fmb_$i_8' )
    & ( meet('fmb_$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_6' )
    & ( meet('fmb_$i_6','fmb_$i_14') = 'fmb_$i_14' )
    & ( meet('fmb_$i_6','fmb_$i_15') = 'fmb_$i_7' )
    & ( 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_$i_10' )
    & ( meet('fmb_$i_9','fmb_$i_14') = 'fmb_$i_14' )
    & ( meet('fmb_$i_9','fmb_$i_15') = 'fmb_$i_9' )
    & ( meet('fmb_$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_5' )
    & ( meet('fmb_$i_13','fmb_$i_3') = 'fmb_$i_3' )
    & ( meet('fmb_$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_6' )
    & ( 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_$i_10' )
    & ( meet('fmb_$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_2' )
    & ( meet('fmb_$i_15','fmb_$i_3') = 'fmb_$i_8' )
    & ( meet('fmb_$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_7' )
    & ( 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_$i_9' )
    & ( meet('fmb_$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_15' )
    & ( join('fmb_$i_1','fmb_$i_3') = 'fmb_$i_13' )
    & ( join('fmb_$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_13' )
    & ( 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_$i_15' )
    & ( join('fmb_$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_15' )
    & ( 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_15' )
    & ( 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_15' )
    & ( join('fmb_$i_2','fmb_$i_12') = 'fmb_$i_9' )
    & ( join('fmb_$i_2','fmb_$i_13') = 'fmb_$i_4' )
    & ( join('fmb_$i_2','fmb_$i_14') = 'fmb_$i_2' )
    & ( join('fmb_$i_2','fmb_$i_15') = 'fmb_$i_15' )
    & ( join('fmb_$i_3','fmb_$i_1') = 'fmb_$i_13' )
    & ( join('fmb_$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_13' )
    & ( join('fmb_$i_3','fmb_$i_11') = 'fmb_$i_13' )
    & ( join('fmb_$i_3','fmb_$i_12') = 'fmb_$i_6' )
    & ( join('fmb_$i_3','fmb_$i_13') = 'fmb_$i_13' )
    & ( join('fmb_$i_3','fmb_$i_14') = 'fmb_$i_3' )
    & ( join('fmb_$i_3','fmb_$i_15') = 'fmb_$i_4' )
    & ( join('fmb_$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_13' )
    & ( 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_$i_13' )
    & ( join('fmb_$i_6','fmb_$i_11') = 'fmb_$i_13' )
    & ( join('fmb_$i_6','fmb_$i_12') = 'fmb_$i_6' )
    & ( join('fmb_$i_6','fmb_$i_13') = 'fmb_$i_13' )
    & ( join('fmb_$i_6','fmb_$i_14') = 'fmb_$i_6' )
    & ( join('fmb_$i_6','fmb_$i_15') = 'fmb_$i_4' )
    & ( join('fmb_$i_7','fmb_$i_1') = 'fmb_$i_1' )
    & ( join('fmb_$i_7','fmb_$i_2') = 'fmb_$i_15' )
    & ( 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_$i_15' )
    & ( join('fmb_$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_$i_15' )
    & ( join('fmb_$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_$i_15' )
    & ( join('fmb_$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_$i_15' )
    & ( join('fmb_$i_9','fmb_$i_12') = 'fmb_$i_9' )
    & ( join('fmb_$i_9','fmb_$i_13') = 'fmb_$i_4' )
    & ( join('fmb_$i_9','fmb_$i_14') = 'fmb_$i_9' )
    & ( join('fmb_$i_9','fmb_$i_15') = 'fmb_$i_15' )
    & ( join('fmb_$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_13' )
    & ( 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_$i_13' )
    & ( join('fmb_$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_15' )
    & ( join('fmb_$i_11','fmb_$i_3') = 'fmb_$i_13' )
    & ( join('fmb_$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_13' )
    & ( 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_$i_15' )
    & ( join('fmb_$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_4' )
    & ( join('fmb_$i_13','fmb_$i_3') = 'fmb_$i_13' )
    & ( join('fmb_$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_13' )
    & ( 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_$i_4' )
    & ( join('fmb_$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_15' )
    & ( join('fmb_$i_15','fmb_$i_3') = 'fmb_$i_4' )
    & ( join('fmb_$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_4' )
    & ( 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_$i_15' )
    & ( join('fmb_$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  : LAT117-1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.08  % Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.18/0.43  % Computer : n011.cluster.edu
% 0.18/0.43  % Model    : x86_64 x86_64
% 0.18/0.43  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.43  % Memory   : 8046.5625MB
% 0.18/0.43  % OS       : Linux 6.8.0-71-generic
% 0.18/0.43  % CPULimit : 300
% 0.18/0.43  % WCLimit  : 300
% 0.18/0.43  % DateTime : Sun Sep 27 14:01:45 UTC 2026
% 0.18/0.43  % CPUTime  : 
% 0.18/0.43  Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.22/0.48  Running first-order model finding
% 0.22/0.48  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
% 26.43/4.28  % (2436258)Will run a generic schedule for satisfiability detection.
% 26.43/4.28  % (2436267)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2324742448:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 26.43/4.28  % (2436264)% WARNING: option uhcvi not known.
% 26.43/4.28  % (2436263)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3004271082_2999 on theBenchmark for (2999ds/0Mi)
% 26.43/4.28  % (2436265)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=408186658:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 26.43/4.28  % (2436266)dis+10_1_sil=32000:sp=arity:random_seed=2264384184:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 26.43/4.28  % (2436264)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2809437150:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 26.43/4.28  % (2436268)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1898431290:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 26.43/4.28  % (2436269)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2475614866:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 26.43/4.28  % TRYING [1]
% 26.43/4.28  % TRYING [2]
% 26.43/4.28  % TRYING [3]
% 26.43/4.28  % TRYING [4]
% 26.43/4.28  % TRYING [5]
% 26.43/4.28  % (2436267)Instruction limit reached! 
% 26.43/4.28  % (2436267)------------------------------
% 26.43/4.28  % (2436267)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 26.43/4.28  % (2436267)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.43/4.28  % (2436267)CaDiCaL version: 2.1.3
% 26.43/4.28  % (2436267)Termination reason: Instruction limit
% 26.43/4.28  % (2436267)Termination phase: Saturation
% 26.43/4.28  % (2436267)Time elapsed: 0.068 s
% 26.43/4.28  % (2436267)Peak memory usage: 12 MB
% 26.43/4.28  % (2436267)Instructions burned: 116 (million)
% 26.43/4.28  % (2436277)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=229456799:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 26.43/4.28  % TRYING [1]
% 26.43/4.28  % TRYING [2]
% 26.43/4.28  % TRYING [3]
% 26.43/4.28  % TRYING [4]
% 26.43/4.28  % (2436266)Instruction limit reached! 
% 26.43/4.28  % (2436266)------------------------------
% 26.43/4.28  % (2436266)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 26.43/4.28  % (2436266)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.43/4.28  % (2436266)CaDiCaL version: 2.1.3
% 26.43/4.28  % (2436266)Termination reason: Instruction limit
% 26.43/4.28  % (2436266)Termination phase: Saturation
% 26.43/4.28  % (2436266)Time elapsed: 0.096 s
% 26.43/4.28  % (2436266)Peak memory usage: 12 MB
% 26.43/4.28  % (2436266)Instructions burned: 103 (million)
% 26.43/4.28  % TRYING [5]
% 26.43/4.28  % (2436279)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=521167771:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 26.43/4.28  % (2436268)Instruction limit reached! 
% 26.43/4.28  % (2436268)------------------------------
% 26.43/4.28  % (2436268)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 26.43/4.28  % (2436268)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.43/4.28  % (2436268)CaDiCaL version: 2.1.3
% 26.43/4.28  % (2436268)Termination reason: Instruction limit
% 26.43/4.28  % (2436268)Termination phase: Saturation
% 26.43/4.28  % (2436268)Time elapsed: 0.124 s
% 26.43/4.28  % (2436268)Peak memory usage: 12 MB
% 26.43/4.28  % (2436268)Instructions burned: 132 (million)
% 26.43/4.28  % TRYING [6]
% 26.43/4.28  % (2436269)Instruction limit reached! 
% 26.43/4.28  % (2436269)------------------------------
% 26.43/4.28  % (2436269)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 26.43/4.28  % (2436269)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.43/4.28  % (2436269)CaDiCaL version: 2.1.3
% 26.43/4.28  % (2436269)Termination reason: Instruction limit
% 26.43/4.28  % (2436269)Termination phase: Saturation
% 26.43/4.28  % (2436269)Time elapsed: 0.152 s
% 26.43/4.28  % (2436269)Peak memory usage: 12 MB
% 26.43/4.28  % (2436269)Instructions burned: 159 (million)
% 26.43/4.28  % (2436281)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=2785705246:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 26.43/4.28  % (2436282)ott-21_1_sil=16000:fs=off:random_seed=1064993385:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 26.43/4.28  % (2436279)Instruction limit reached! 
% 26.43/4.28  % (2436279)------------------------------
% 26.43/4.28  % (2436279)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 66.39/10.03  % (2436279)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 66.39/10.03  % (2436279)CaDiCaL version: 2.1.3
% 66.39/10.03  % (2436279)Termination reason: Instruction limit
% 66.39/10.03  % (2436279)Termination phase: Saturation
% 66.39/10.03  % (2436279)Time elapsed: 0.078 s
% 66.39/10.03  % (2436279)Peak memory usage: 13 MB
% 66.39/10.03  % (2436279)Instructions burned: 132 (million)
% 66.39/10.03  % (2436285)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=174355629:i=477:bd=all_2997 on theBenchmark for (2997ds/477Mi)
% 66.39/10.03  % TRYING [6]
% 66.39/10.03  % (2436282)Instruction limit reached! 
% 66.39/10.03  % (2436282)------------------------------
% 66.39/10.03  % (2436282)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 66.39/10.03  % (2436282)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 66.39/10.03  % (2436282)CaDiCaL version: 2.1.3
% 66.39/10.03  % (2436282)Termination reason: Instruction limit
% 66.39/10.03  % (2436282)Termination phase: Saturation
% 66.39/10.03  % (2436282)Time elapsed: 0.140 s
% 66.39/10.03  % (2436282)Peak memory usage: 11 MB
% 66.39/10.03  % (2436282)Instructions burned: 180 (million)
% 66.39/10.03  % (2436287)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=2099370036:fmbsr=1.3:i=865:ins=25_2996 on theBenchmark for (2996ds/865Mi)
% 66.39/10.03  % TRYING [1]
% 66.39/10.03  % TRYING [2]
% 66.39/10.03  % TRYING [3]
% 66.39/10.03  % TRYING [4]
% 66.39/10.03  % TRYING [7]
% 66.39/10.03  % TRYING [5]
% 66.39/10.03  % (2436285)Instruction limit reached! 
% 66.39/10.03  % (2436285)------------------------------
% 66.39/10.03  % (2436285)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 66.39/10.03  % (2436285)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 66.39/10.03  % (2436285)CaDiCaL version: 2.1.3
% 66.39/10.03  % (2436285)Termination reason: Instruction limit
% 66.39/10.03  % (2436285)Termination phase: Saturation
% 66.39/10.03  % (2436285)Time elapsed: 0.243 s
% 66.39/10.03  % (2436285)Peak memory usage: 15 MB
% 66.39/10.03  % (2436285)Instructions burned: 477 (million)
% 66.39/10.03  % (2436289)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=3017533840:i=1179_2995 on theBenchmark for (2995ds/1179Mi)
% 66.39/10.03  % TRYING [6]
% 66.39/10.03  % TRYING [7]
% 66.39/10.03  % (2436277)Instruction limit reached! 
% 66.39/10.03  % (2436277)------------------------------
% 66.39/10.03  % (2436277)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 66.39/10.03  % (2436277)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 66.39/10.03  % (2436277)CaDiCaL version: 2.1.3
% 66.39/10.03  % (2436277)Termination reason: Instruction limit
% 66.39/10.03  % (2436277)Termination phase: Finite model building constraint generation
% 66.39/10.03  % (2436277)Time elapsed: 0.559 s
% 66.39/10.03  % (2436277)Peak memory usage: 27 MB
% 66.39/10.03  % (2436277)Instructions burned: 715 (million)
% 66.39/10.03  % (2436291)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=4065031709:i=889:ins=1_2993 on theBenchmark for (2993ds/889Mi)
% 66.39/10.03  % (2436287)Instruction limit reached! 
% 66.39/10.03  % (2436287)------------------------------
% 66.39/10.03  % (2436287)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 66.39/10.03  % (2436287)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 66.39/10.03  % (2436287)CaDiCaL version: 2.1.3
% 66.39/10.03  % (2436287)Termination reason: Instruction limit
% 66.39/10.03  % (2436287)Termination phase: Finite model building SAT solving
% 66.39/10.03  % (2436287)Time elapsed: 0.353 s
% 66.39/10.03  % (2436287)Peak memory usage: 22 MB
% 66.39/10.03  % (2436287)Instructions burned: 867 (million)
% 66.39/10.03  % (2436293)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=688324955: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)
% 66.39/10.03  % (2436281)Instruction limit reached! 
% 66.39/10.03  % (2436281)------------------------------
% 66.39/10.03  % (2436281)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 66.39/10.03  % (2436281)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 66.39/10.03  % (2436281)CaDiCaL version: 2.1.3
% 66.39/10.03  % (2436281)Termination reason: Instruction limit
% 66.39/10.03  % (2436281)Termination phase: Saturation
% 66.39/10.03  % (2436281)Time elapsed: 0.607 s
% 66.39/10.03  % (2436281)Peak memory usage: 17 MB
% 66.39/10.03  % (2436281)Instructions burned: 685 (million)
% 66.39/10.03  % (2436295)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=2117529052:i=879:kws=inv_precedence:fsr=off_2991 on theBenchmark for (2991ds/879Mi)
% 122.21/17.79  % TRYING [14]
% 122.21/17.79  % TRYING [8]
% 122.21/17.79  % (2436293)Instruction limit reached! 
% 122.21/17.79  % (2436293)------------------------------
% 122.21/17.79  % (2436293)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 122.21/17.79  % (2436293)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 122.21/17.79  % (2436293)CaDiCaL version: 2.1.3
% 122.21/17.79  % (2436293)Termination reason: Instruction limit
% 122.21/17.79  % (2436293)Termination phase: Saturation
% 122.21/17.79  % (2436293)Time elapsed: 0.343 s
% 122.21/17.79  % (2436293)Peak memory usage: 16 MB
% 122.21/17.79  % (2436293)Instructions burned: 692 (million)
% 122.21/17.79  % (2436297)fmb+10_1_sil=64000:random_seed=4175271503:i=22061:nm=2:gsp=on_2988 on theBenchmark for (2988ds/22061Mi)
% 122.21/17.79  % TRYING [1]
% 122.21/17.79  % TRYING [2]
% 122.21/17.79  % TRYING [3]
% 122.21/17.79  % TRYING [4]
% 122.21/17.79  % TRYING [5]
% 122.21/17.79  % TRYING [6]
% 122.21/17.79  % (2436291)Instruction limit reached! 
% 122.21/17.79  % (2436291)------------------------------
% 122.21/17.79  % (2436291)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 122.21/17.79  % (2436291)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 122.21/17.79  % (2436291)CaDiCaL version: 2.1.3
% 122.21/17.79  % (2436291)Termination reason: Instruction limit
% 122.21/17.79  % (2436291)Termination phase: Finite model building constraint generation
% 122.21/17.79  % (2436291)Time elapsed: 0.623 s
% 122.21/17.79  % (2436291)Peak memory usage: 82 MB
% 122.21/17.79  % (2436291)Instructions burned: 889 (million)
% 122.21/17.79  % (2436299)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=4033919380:i=9515:nm=5_2986 on theBenchmark for (2986ds/9515Mi)
% 122.21/17.79  % TRYING [20]
% 122.21/17.79  % TRYING [7]
% 122.21/17.79  % (2436295)Instruction limit reached! 
% 122.21/17.79  % (2436295)------------------------------
% 122.21/17.79  % (2436295)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 122.21/17.79  % (2436295)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 122.21/17.79  % (2436295)CaDiCaL version: 2.1.3
% 122.21/17.79  % (2436295)Termination reason: Instruction limit
% 122.21/17.79  % (2436295)Termination phase: Saturation
% 122.21/17.79  % (2436295)Time elapsed: 0.783 s
% 122.21/17.79  % (2436295)Peak memory usage: 17 MB
% 122.21/17.79  % (2436295)Instructions burned: 879 (million)
% 122.21/17.79  % (2436301)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=4007454855:fmbsr=1.7:i=920_2983 on theBenchmark for (2983ds/920Mi)
% 122.21/17.79  % TRYING [8]
% 122.21/17.79  % (2436289)Instruction limit reached! 
% 122.21/17.79  % (2436289)------------------------------
% 122.21/17.79  % (2436289)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 122.21/17.79  % (2436289)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 122.21/17.79  % (2436289)CaDiCaL version: 2.1.3
% 122.21/17.79  % (2436289)Termination reason: Instruction limit
% 122.21/17.79  % (2436289)Termination phase: Saturation
% 122.21/17.79  % (2436289)Time elapsed: 1.177 s
% 122.21/17.79  % (2436289)Peak memory usage: 25 MB
% 122.21/17.79  % (2436289)Instructions burned: 1179 (million)
% 122.21/17.79  % (2436303)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=774875784:i=5131_2982 on theBenchmark for (2982ds/5131Mi)
% 122.21/17.79  % TRYING [9]
% 122.21/17.79  % TRYING [8]
% 122.21/17.79  % (2436301)Instruction limit reached! 
% 122.21/17.79  % (2436301)------------------------------
% 122.21/17.79  % (2436301)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 122.21/17.79  % (2436301)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 122.21/17.79  % (2436301)CaDiCaL version: 2.1.3
% 122.21/17.79  % (2436301)Termination reason: Instruction limit
% 122.21/17.79  % (2436301)Termination phase: Finite model building SAT solving
% 122.21/17.79  % (2436301)Time elapsed: 0.745 s
% 122.21/17.79  % (2436301)Peak memory usage: 62 MB
% 122.21/17.79  % (2436301)Instructions burned: 920 (million)
% 122.21/17.79  % (2436305)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=4072072803:i=1472:ins=7:fdi=8:gsp=on_2975 on theBenchmark for (2975ds/1472Mi)
% 122.21/17.79  % TRYING [9]
% 122.21/17.79  % (2436305)Instruction limit reached! 
% 122.21/17.79  % (2436305)------------------------------
% 122.21/17.79  % (2436305)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 122.21/17.79  % (2436305)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 122.21/17.79  % (2436305)CaDiCaL version: 2.1.3
% 122.21/17.79  % (2436305)Termination reason: Instruction limit
% 122.21/17.79  % (2436305)Termination phase: Saturation
% 122.21/17.79  % (2436305)Time elapsed: 1.323 s
% 122.21/17.79  % (2436305)Peak memory usage: 22 MB
% 122.21/17.79  % (2436305)Instructions burned: 1472 (million)
% 122.21/17.79  % (2436307)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=2187278356:i=6324_2962 on theBenchmark for (2962ds/6324Mi)
% 155.43/37.71  % TRYING [77]
% 155.43/37.71  % TRYING [10]
% 155.43/37.71  % (2436303)Instruction limit reached! 
% 155.43/37.71  % (2436303)------------------------------
% 155.43/37.71  % (2436303)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 155.43/37.71  % (2436303)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 155.43/37.71  % (2436303)CaDiCaL version: 2.1.3
% 155.43/37.71  % (2436303)Termination reason: Instruction limit
% 155.43/37.71  % (2436303)Termination phase: Saturation
% 155.43/37.71  % (2436303)Time elapsed: 4.646 s
% 155.43/37.71  % (2436303)Peak memory usage: 48 MB
% 155.43/37.71  % (2436303)Instructions burned: 5131 (million)
% 155.43/37.71  % TRYING [10]
% 155.43/37.71  % (2436314)fmb+10_1_fmbas=function:sil=32000:sas=cadical:fmbss=16:random_seed=3856714700:fmbsr=2.30978:i=2174_2935 on theBenchmark for (2935ds/2174Mi)
% 155.43/37.71  % TRYING [16]
% 155.43/37.71  % (2436314)Instruction limit reached! 
% 155.43/37.71  % (2436314)------------------------------
% 155.43/37.71  % (2436314)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 155.43/37.71  % (2436314)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 155.43/37.71  % (2436314)CaDiCaL version: 2.1.3
% 155.43/37.71  % (2436314)Termination reason: Instruction limit
% 155.43/37.71  % (2436314)Termination phase: Finite model building constraint generation
% 155.43/37.71  % (2436314)Time elapsed: 1.499 s
% 155.43/37.71  % (2436314)Peak memory usage: 134 MB
% 155.43/37.71  % (2436314)Instructions burned: 2174 (million)
% 155.43/37.71  % (2436321)ott-2_1_sil=16000:newcnf=on:random_seed=305547683:avsq=on:i=869:avsqr=1,16:kws=inv_arity_squared_2920 on theBenchmark for (2920ds/869Mi)
% 155.43/37.71  % (2436307)Instruction limit reached! 
% 155.43/37.71  % (2436307)------------------------------
% 155.43/37.71  % (2436307)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 155.43/37.71  % (2436307)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 155.43/37.71  % (2436307)CaDiCaL version: 2.1.3
% 155.43/37.71  % (2436307)Termination reason: Instruction limit
% 155.43/37.71  % (2436307)Termination phase: Finite model building constraint generation
% 155.43/37.71  % (2436307)Time elapsed: 4.490 s
% 155.43/37.71  % (2436307)Peak memory usage: 475 MB
% 155.43/37.71  % (2436307)Instructions burned: 6324 (million)
% 155.43/37.71  % (2436299)Instruction limit reached! 
% 155.43/37.71  % (2436299)------------------------------
% 155.43/37.71  % (2436299)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 155.43/37.71  % (2436299)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 155.43/37.71  % (2436299)CaDiCaL version: 2.1.3
% 155.43/37.71  % (2436299)Termination reason: Instruction limit
% 155.43/37.71  % (2436299)Termination phase: Finite model building constraint generation
% 155.43/37.71  % (2436299)Time elapsed: 6.917 s
% 155.43/37.71  % (2436299)Peak memory usage: 665 MB
% 155.43/37.71  % (2436299)Instructions burned: 9515 (million)
% 155.43/37.71  % (2436323)ott+10_1_sil=32000:tgt=ground:random_seed=2225700315:i=5114:av=off_2916 on theBenchmark for (2916ds/5114Mi)
% 155.43/37.71  % (2436325)fmb+10_1_sil=64000:sas=cadical:bce=on:rp=on:random_seed=156224890:i=54282_2915 on theBenchmark for (2915ds/54282Mi)
% 155.43/37.71  % TRYING [1]
% 155.43/37.71  % TRYING [2]
% 155.43/37.71  % TRYING [3]
% 155.43/37.71  % TRYING [4]
% 155.43/37.71  % TRYING [5]
% 155.43/37.71  % TRYING [11]
% 155.43/37.71  % TRYING [6]
% 155.43/37.71  % (2436321)Instruction limit reached! 
% 155.43/37.71  % (2436321)------------------------------
% 155.43/37.71  % (2436321)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 155.43/37.71  % (2436321)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 155.43/37.71  % (2436321)CaDiCaL version: 2.1.3
% 155.43/37.71  % (2436321)Termination reason: Instruction limit
% 155.43/37.71  % (2436321)Termination phase: Saturation
% 155.43/37.71  % (2436321)Time elapsed: 0.814 s
% 155.43/37.71  % (2436321)Peak memory usage: 18 MB
% 155.43/37.71  % (2436321)Instructions burned: 869 (million)
% 155.43/37.71  % (2436327)dis-11_1_sil=16000:sp=reverse_frequency:alpa=true:random_seed=45345049:i=3512:aac=none_2911 on theBenchmark for (2911ds/3512Mi)
% 155.43/37.71  % TRYING [7]
% 155.43/37.71  % TRYING [8]
% 155.43/37.71  % (2436297)Instruction limit reached! 
% 155.43/37.71  % (2436297)------------------------------
% 155.43/37.71  % (2436297)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 155.43/37.71  % (2436297)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 155.43/37.71  % (2436297)CaDiCaL version: 2.1.3
% 155.43/37.71  % (2436297)Termination reason: Instruction limit
% 155.43/37.71  % (2436297)Termination phase: Finite model building SAT solving
% 155.43/37.71  % (2436297)Time elapsed: 8.414 s
% 155.43/37.71  % (2436297)Peak memory usage: 148 MB
% 155.43/37.71  % (2436297)Instructions burned: 22065 (million)
% 155.43/37.71  % (2436329)dis+21_1_sil=32000:sas=cadical:random_seed=4111648614:i=3773:amm=off_2904 on theBenchmark for (2904ds/3773Mi)
% 155.43/37.71  % TRYING [9]
% 155.43/37.71  % (2436329)Instruction limit reached! 
% 155.43/37.71  % (2436329)------------------------------
% 155.43/37.71  % (2436329)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 155.43/37.71  % (2436329)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 155.43/37.71  % (2436329)CaDiCaL version: 2.1.3
% 155.43/37.71  % (2436329)Termination reason: Instruction limit
% 155.43/37.71  % (2436329)Termination phase: Saturation
% 155.43/37.71  % (2436329)Time elapsed: 1.871 s
% 155.43/37.71  % (2436329)Peak memory usage: 41 MB
% 155.43/37.71  % (2436329)Instructions burned: 3774 (million)
% 155.43/37.71  % (2436333)ott+11_1_sil=16000:gs=on:random_seed=2819628699:s2a=on:i=2251:s2at=3:kws=inv_arity_squared:nm=2:fsr=off:fsd=on_2885 on theBenchmark for (2885ds/2251Mi)
% 155.43/37.71  % (2436327)Instruction limit reached! 
% 155.43/37.71  % (2436327)------------------------------
% 155.43/37.71  % (2436327)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 155.43/37.71  % (2436327)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 155.43/37.71  % (2436327)CaDiCaL version: 2.1.3
% 155.43/37.71  % (2436327)Termination reason: Instruction limit
% 155.43/37.71  % (2436327)Termination phase: Saturation
% 155.43/37.71  % (2436327)Time elapsed: 3.087 s
% 155.43/37.71  % (2436327)Peak memory usage: 36 MB
% 155.43/37.71  % (2436327)Instructions burned: 3512 (million)
% 155.43/37.71  % (2436335)fmb+10_1_fmbas=predicate:sil=64000:tgt=ground:fmbss=7:random_seed=387300534:fmbsr=1.6:i=67534_2880 on theBenchmark for (2880ds/67534Mi)
% 155.43/37.71  % TRYING [7]
% 155.43/37.71  % (2436333)Instruction limit reached! 
% 155.43/37.71  % (2436333)------------------------------
% 155.43/37.71  % (2436333)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 155.43/37.71  % (2436333)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 155.43/37.71  % (2436333)CaDiCaL version: 2.1.3
% 155.43/37.71  % (2436333)Termination reason: Instruction limit
% 155.43/37.71  % (2436333)Termination phase: Saturation
% 155.43/37.71  % (2436333)Time elapsed: 1.095 s
% 155.43/37.71  % (2436333)Peak memory usage: 25 MB
% 155.43/37.71  % (2436333)Instructions burned: 2253 (million)
% 155.43/37.71  % (2436339)ott-22_32_sil=16000:tgt=full:fdtod=off:sp=weighted_frequency:rnwc=on:alpa=false:random_seed=3182909552:avsq=on:i=4591:add=off:avsqr=1,16:kws=inv_arity:nm=10:ins=9:fdi=4_2874 on theBenchmark for (2874ds/4591Mi)
% 155.43/37.71  % TRYING [10]
% 155.43/37.71  % TRYING [8]
% 155.43/37.71  % (2436323)Instruction limit reached! 
% 155.43/37.71  % (2436323)------------------------------
% 155.43/37.71  % (2436323)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 155.43/37.71  % (2436323)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 155.43/37.71  % (2436323)CaDiCaL version: 2.1.3
% 155.43/37.71  % (2436323)Termination reason: Instruction limit
% 155.43/37.71  % (2436323)Termination phase: Saturation
% 155.43/37.71  % (2436323)Time elapsed: 4.993 s
% 155.43/37.71  % (2436323)Peak memory usage: 67 MB
% 155.43/37.71  % (2436323)Instructions burned: 5114 (million)
% 155.43/37.71  % (2436343)dis+10_64_to=lpo:sil=32000:spb=intro:urr=on:sac=on:random_seed=1530964747:i=29340_2865 on theBenchmark for (2865ds/29340Mi)
% 155.43/37.71  % TRYING [12]
% 155.43/37.71  % (2436339)Instruction limit reached! 
% 155.43/37.71  % (2436339)------------------------------
% 155.43/37.71  % (2436339)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 155.43/37.71  % (2436339)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 155.43/37.71  % (2436339)CaDiCaL version: 2.1.3
% 155.43/37.71  % (2436339)Termination reason: Instruction limit
% 155.43/37.71  % (2436339)Termination phase: Saturation
% 155.43/37.71  % (2436339)Time elapsed: 2.263 s
% 155.43/37.71  % (2436339)Peak memory usage: 52 MB
% 155.43/37.71  % (2436339)Instructions burned: 4592 (million)
% 155.43/37.71  % (2436345)dis-10_1_sil=64000:sas=cadical:cn=on:random_seed=930675156:i=5211_2851 on theBenchmark for (2851ds/5211Mi)
% 155.43/37.71  % TRYING [9]
% 155.43/37.71  % TRYING [11]
% 155.43/37.71  % (2436345)Instruction limit reached! 
% 155.43/37.71  % (2436345)------------------------------
% 155.43/37.71  % (2436345)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 155.43/37.71  % (2436345)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 155.43/37.71  % (2436345)CaDiCaL version: 2.1.3
% 155.43/37.71  % (2436345)Termination reason: Instruction limit
% 155.43/37.71  % (2436345)Termination phase: Saturation
% 155.43/37.71  % (2436345)Time elapsed: 2.396 s
% 155.43/37.71  % (2436345)Peak memory usage: 48 MB
% 155.43/37.71  % (2436345)Instructions burned: 5213 (million)
% 155.43/37.71  % (2436347)fmb+10_1_sil=32000:sas=cadical:bce=on:fmbss=17:random_seed=2745084446:i=5497:nm=2_2826 on theBenchmark for (2826ds/5497Mi)
% 155.43/37.71  % TRYING [17]
% 155.43/37.71  % TRYING [10]
% 155.43/37.71  % (2436347)Instruction limit reached! 
% 155.43/37.71  % (2436347)------------------------------
% 155.43/37.71  % (2436347)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 155.43/37.71  % (2436347)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 155.43/37.71  % (2436347)CaDiCaL version: 2.1.3
% 155.43/37.71  % (2436347)Termination reason: Instruction limit
% 155.43/37.71  % (2436347)Termination phase: Finite model building constraint generation
% 155.43/37.71  % (2436347)Time elapsed: 4.004 s
% 155.43/37.71  % (2436347)Peak memory usage: 388 MB
% 155.43/37.71  % (2436347)Instructions burned: 5498 (million)
% 155.43/37.71  % (2436351)fmb+10_1_fmbas=predicate:sil=64000:tgt=full:sas=cadical:fmbss=15:random_seed=3731640623:fmbsr=2:i=46332_2785 on theBenchmark for (2785ds/46332Mi)
% 155.43/37.71  % TRYING [15]
% 155.43/37.71  % TRYING [13]
% 155.43/37.71  % TRYING [12]
% 155.43/37.71  % TRYING [11]
% 155.43/37.71  % (2436343)Instruction limit reached! 
% 155.43/37.71  % (2436343)------------------------------
% 155.43/37.71  % (2436343)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 155.43/37.71  % (2436343)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 155.43/37.71  % (2436343)CaDiCaL version: 2.1.3
% 155.43/37.71  % (2436343)Termination reason: Instruction limit
% 155.43/37.71  % (2436343)Termination phase: Saturation
% 155.43/37.71  % (2436343)Time elapsed: 14.914 s
% 155.43/37.71  % (2436343)Peak memory usage: 131 MB
% 155.43/37.71  % (2436343)Instructions burned: 29342 (million)
% 155.43/37.71  % (2436353)fmb+10_1_sil=128000:tgt=full:sas=cadical:fmbss=12:random_seed=112312593:i=14071_2716 on theBenchmark for (2716ds/14071Mi)
% 155.43/37.71  % TRYING [12]
% 155.43/37.71  % TRYING [13]
% 155.43/37.71  % TRYING [14]
% 155.43/37.71  % TRYING [13]
% 155.43/37.71  % (2436353)Instruction limit reached! 
% 155.43/37.71  % (2436353)------------------------------
% 155.43/37.71  % (2436353)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 155.43/37.71  % (2436353)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 155.43/37.71  % (2436353)CaDiCaL version: 2.1.3
% 155.43/37.71  % (2436353)Termination reason: Instruction limit
% 155.43/37.71  % (2436353)Termination phase: Finite model building constraint generation
% 155.43/37.71  % (2436353)Time elapsed: 4.551 s
% 155.43/37.71  % (2436353)Peak memory usage: 466 MB
% 155.43/37.71  % (2436353)Instructions burned: 14072 (million)
% 155.43/37.71  % (2436508)dis+10_161_sil=128000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3013287996:i=22565:add=on:rawr=on_2670 on theBenchmark for (2670ds/22565Mi)
% 155.43/37.71  % TRYING [12]
% 155.43/37.71  % Finite Model Found!
% 155.43/37.71  % SZS status Satisfiable for theBenchmark
% 155.43/37.71  % TRYING [14]
% 155.43/37.71  % (2436351) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2436258-2436351"...
% 155.43/37.71  % (2436351)...printing done.
% 155.43/37.71  % SZS output start FiniteModel for theBenchmark
% See solution above
% 155.43/37.72  % (2436351)------------------------------
% 155.43/37.72  % (2436351)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 155.43/37.72  % (2436351)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 155.43/37.72  % (2436351)CaDiCaL version: 2.1.3
% 155.43/37.72  % (2436351)Termination reason: Satisfiable
% 155.43/37.72  % (2436351)Time elapsed: 15.487 s
% 155.43/37.72  % (2436351)Peak memory usage: 1113 MB
% 155.43/37.72  % (2436351)Instructions burned: 23860 (million)
% 155.43/37.72  % (2436258)Success in time 37.222 s
% 155.43/37.72  % Vampire exiting
%------------------------------------------------------------------------------