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

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---5.0.1
% Problem  : LCL687-10.015 : TPTP v9.3.1. Released v7.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT

% Computer : n020.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 12:00:18 PM UTC 2026

% Result   : Satisfiable 0.96s 0.60s
% Output   : FiniteModel 0.96s
% 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('finite_domain_$i',axiom,
    ! [X: $i] :
      ( ( X = 'fmb_$i_1' )
      | ( X = 'fmb_$i_2' ) ) ).

tff('distinct_domain_$i',axiom,
    'fmb_$i_1' != 'fmb_$i_2' ).

tff(declare_true,type,
    true: $i ).

tff(true_definition,axiom,
    true = 'fmb_$i_1' ).

tff(declare_sK89_main_X,type,
    sK89_main_X: $i ).

tff(sK89_main_X_definition,axiom,
    sK89_main_X = 'fmb_$i_2' ).

tff(declare_sK88_main_Y,type,
    sK88_main_Y: $i ).

tff(sK88_main_Y_definition,axiom,
    sK88_main_Y = 'fmb_$i_2' ).

tff(declare_sK86_main_Y,type,
    sK86_main_Y: $i ).

tff(sK86_main_Y_definition,axiom,
    sK86_main_Y = 'fmb_$i_2' ).

tff(declare_sK87_main_X,type,
    sK87_main_X: $i ).

tff(sK87_main_X_definition,axiom,
    sK87_main_X = 'fmb_$i_2' ).

tff(declare_ifeq,type,
    ifeq: ( $i * $i * $i * $i ) > $i ).

tff(function_ifeq,axiom,
    ( ( ifeq('fmb_$i_1','fmb_$i_1','fmb_$i_1','fmb_$i_1') = 'fmb_$i_1' )
    & ( ifeq('fmb_$i_1','fmb_$i_1','fmb_$i_1','fmb_$i_2') = 'fmb_$i_1' )
    & ( ifeq('fmb_$i_1','fmb_$i_1','fmb_$i_2','fmb_$i_1') = 'fmb_$i_2' )
    & ( ifeq('fmb_$i_1','fmb_$i_1','fmb_$i_2','fmb_$i_2') = 'fmb_$i_2' )
    & ( ifeq('fmb_$i_1','fmb_$i_2','fmb_$i_1','fmb_$i_1') = 'fmb_$i_2' )
    & ( ifeq('fmb_$i_1','fmb_$i_2','fmb_$i_1','fmb_$i_2') = 'fmb_$i_2' )
    & ( ifeq('fmb_$i_1','fmb_$i_2','fmb_$i_2','fmb_$i_1') = 'fmb_$i_2' )
    & ( ifeq('fmb_$i_1','fmb_$i_2','fmb_$i_2','fmb_$i_2') = 'fmb_$i_2' )
    & ( ifeq('fmb_$i_2','fmb_$i_1','fmb_$i_1','fmb_$i_1') = 'fmb_$i_2' )
    & ( ifeq('fmb_$i_2','fmb_$i_1','fmb_$i_1','fmb_$i_2') = 'fmb_$i_2' )
    & ( ifeq('fmb_$i_2','fmb_$i_1','fmb_$i_2','fmb_$i_1') = 'fmb_$i_2' )
    & ( ifeq('fmb_$i_2','fmb_$i_1','fmb_$i_2','fmb_$i_2') = 'fmb_$i_2' )
    & ( ifeq('fmb_$i_2','fmb_$i_2','fmb_$i_1','fmb_$i_1') = 'fmb_$i_1' )
    & ( ifeq('fmb_$i_2','fmb_$i_2','fmb_$i_1','fmb_$i_2') = 'fmb_$i_1' )
    & ( ifeq('fmb_$i_2','fmb_$i_2','fmb_$i_2','fmb_$i_1') = 'fmb_$i_2' )
    & ( ifeq('fmb_$i_2','fmb_$i_2','fmb_$i_2','fmb_$i_2') = 'fmb_$i_2' ) ) ).

tff(declare_r1,type,
    r1: ( $i * $i ) > $i ).

tff(function_r1,axiom,
    ( ( r1('fmb_$i_1','fmb_$i_1') = 'fmb_$i_1' )
    & ( r1('fmb_$i_1','fmb_$i_2') = 'fmb_$i_1' )
    & ( r1('fmb_$i_2','fmb_$i_1') = 'fmb_$i_1' )
    & ( r1('fmb_$i_2','fmb_$i_2') = 'fmb_$i_1' ) ) ).

tff(declare_p90,type,
    p90: $i > $i ).

tff(function_p90,axiom,
    ( ( p90('fmb_$i_1') = 'fmb_$i_2' )
    & ( p90('fmb_$i_2') = 'fmb_$i_1' ) ) ).

tff(declare_p1,type,
    p1: $i > $i ).

tff(function_p1,axiom,
    ( ( p1('fmb_$i_1') = 'fmb_$i_1' )
    & ( p1('fmb_$i_2') = 'fmb_$i_1' ) ) ).

tff(declare_p2,type,
    p2: $i > $i ).

tff(function_p2,axiom,
    ( ( p2('fmb_$i_1') = 'fmb_$i_1' )
    & ( p2('fmb_$i_2') = 'fmb_$i_1' ) ) ).

tff(declare_sK85_main_Y,type,
    sK85_main_Y: $i > $i ).

tff(function_sK85_main_Y,axiom,
    ( ( sK85_main_Y('fmb_$i_1') = 'fmb_$i_2' )
    & ( sK85_main_Y('fmb_$i_2') = 'fmb_$i_2' ) ) ).

tff(declare_sK1_main_Y,type,
    sK1_main_Y: $i > $i ).

tff(function_sK1_main_Y,axiom,
    ( ( sK1_main_Y('fmb_$i_1') = 'fmb_$i_1' )
    & ( sK1_main_Y('fmb_$i_2') = 'fmb_$i_1' ) ) ).

tff(declare_sK84_main_X,type,
    sK84_main_X: $i > $i ).

tff(function_sK84_main_X,axiom,
    ( ( sK84_main_X('fmb_$i_1') = 'fmb_$i_2' )
    & ( sK84_main_X('fmb_$i_2') = 'fmb_$i_2' ) ) ).

tff(declare_sK83_main_Y,type,
    sK83_main_Y: $i > $i ).

tff(function_sK83_main_Y,axiom,
    ( ( sK83_main_Y('fmb_$i_1') = 'fmb_$i_2' )
    & ( sK83_main_Y('fmb_$i_2') = 'fmb_$i_2' ) ) ).

tff(declare_sK82_main_X,type,
    sK82_main_X: $i > $i ).

tff(function_sK82_main_X,axiom,
    ( ( sK82_main_X('fmb_$i_1') = 'fmb_$i_2' )
    & ( sK82_main_X('fmb_$i_2') = 'fmb_$i_2' ) ) ).

tff(declare_sK81_main_Y,type,
    sK81_main_Y: $i > $i ).

tff(function_sK81_main_Y,axiom,
    ( ( sK81_main_Y('fmb_$i_1') = 'fmb_$i_2' )
    & ( sK81_main_Y('fmb_$i_2') = 'fmb_$i_2' ) ) ).

tff(declare_sK80_main_X,type,
    sK80_main_X: $i > $i ).

tff(function_sK80_main_X,axiom,
    ( ( sK80_main_X('fmb_$i_1') = 'fmb_$i_2' )
    & ( sK80_main_X('fmb_$i_2') = 'fmb_$i_2' ) ) ).

tff(declare_sK79_main_Y,type,
    sK79_main_Y: $i > $i ).

tff(function_sK79_main_Y,axiom,
    ( ( sK79_main_Y('fmb_$i_1') = 'fmb_$i_2' )
    & ( sK79_main_Y('fmb_$i_2') = 'fmb_$i_2' ) ) ).

tff(declare_sK78_main_X,type,
    sK78_main_X: $i > $i ).

tff(function_sK78_main_X,axiom,
    ( ( sK78_main_X('fmb_$i_1') = 'fmb_$i_2' )
    & ( sK78_main_X('fmb_$i_2') = 'fmb_$i_2' ) ) ).

tff(declare_sK77_main_Y,type,
    sK77_main_Y: $i > $i ).

tff(function_sK77_main_Y,axiom,
    ( ( sK77_main_Y('fmb_$i_1') = 'fmb_$i_2' )
    & ( sK77_main_Y('fmb_$i_2') = 'fmb_$i_2' ) ) ).

tff(declare_sK76_main_X,type,
    sK76_main_X: $i > $i ).

tff(function_sK76_main_X,axiom,
    ( ( sK76_main_X('fmb_$i_1') = 'fmb_$i_2' )
    & ( sK76_main_X('fmb_$i_2') = 'fmb_$i_2' ) ) ).

tff(declare_sK75_main_Y,type,
    sK75_main_Y: $i > $i ).

tff(function_sK75_main_Y,axiom,
    ( ( sK75_main_Y('fmb_$i_1') = 'fmb_$i_2' )
    & ( sK75_main_Y('fmb_$i_2') = 'fmb_$i_2' ) ) ).

tff(declare_sK74_main_X,type,
    sK74_main_X: $i > $i ).

tff(function_sK74_main_X,axiom,
    ( ( sK74_main_X('fmb_$i_1') = 'fmb_$i_2' )
    & ( sK74_main_X('fmb_$i_2') = 'fmb_$i_2' ) ) ).

tff(declare_sK73_main_Y,type,
    sK73_main_Y: $i > $i ).

tff(function_sK73_main_Y,axiom,
    ( ( sK73_main_Y('fmb_$i_1') = 'fmb_$i_2' )
    & ( sK73_main_Y('fmb_$i_2') = 'fmb_$i_2' ) ) ).

tff(declare_sK72_main_X,type,
    sK72_main_X: $i > $i ).

tff(function_sK72_main_X,axiom,
    ( ( sK72_main_X('fmb_$i_1') = 'fmb_$i_2' )
    & ( sK72_main_X('fmb_$i_2') = 'fmb_$i_2' ) ) ).

tff(declare_sK71_main_Y,type,
    sK71_main_Y: $i > $i ).

tff(function_sK71_main_Y,axiom,
    ( ( sK71_main_Y('fmb_$i_1') = 'fmb_$i_2' )
    & ( sK71_main_Y('fmb_$i_2') = 'fmb_$i_2' ) ) ).

tff(declare_sK70_main_X,type,
    sK70_main_X: $i > $i ).

tff(function_sK70_main_X,axiom,
    ( ( sK70_main_X('fmb_$i_1') = 'fmb_$i_2' )
    & ( sK70_main_X('fmb_$i_2') = 'fmb_$i_2' ) ) ).

tff(declare_sK69_main_Y,type,
    sK69_main_Y: $i > $i ).

tff(function_sK69_main_Y,axiom,
    ( ( sK69_main_Y('fmb_$i_1') = 'fmb_$i_2' )
    & ( sK69_main_Y('fmb_$i_2') = 'fmb_$i_2' ) ) ).

tff(declare_sK68_main_X,type,
    sK68_main_X: $i > $i ).

tff(function_sK68_main_X,axiom,
    ( ( sK68_main_X('fmb_$i_1') = 'fmb_$i_2' )
    & ( sK68_main_X('fmb_$i_2') = 'fmb_$i_2' ) ) ).

tff(declare_sK67_main_Y,type,
    sK67_main_Y: $i > $i ).

tff(function_sK67_main_Y,axiom,
    ( ( sK67_main_Y('fmb_$i_1') = 'fmb_$i_2' )
    & ( sK67_main_Y('fmb_$i_2') = 'fmb_$i_2' ) ) ).

tff(declare_sK66_main_X,type,
    sK66_main_X: $i > $i ).

tff(function_sK66_main_X,axiom,
    ( ( sK66_main_X('fmb_$i_1') = 'fmb_$i_2' )
    & ( sK66_main_X('fmb_$i_2') = 'fmb_$i_2' ) ) ).

tff(declare_sK65_main_Y,type,
    sK65_main_Y: $i > $i ).

tff(function_sK65_main_Y,axiom,
    ( ( sK65_main_Y('fmb_$i_1') = 'fmb_$i_2' )
    & ( sK65_main_Y('fmb_$i_2') = 'fmb_$i_2' ) ) ).

tff(declare_sK64_main_X,type,
    sK64_main_X: $i > $i ).

tff(function_sK64_main_X,axiom,
    ( ( sK64_main_X('fmb_$i_1') = 'fmb_$i_2' )
    & ( sK64_main_X('fmb_$i_2') = 'fmb_$i_2' ) ) ).

tff(declare_sK63_main_Y,type,
    sK63_main_Y: $i > $i ).

tff(function_sK63_main_Y,axiom,
    ( ( sK63_main_Y('fmb_$i_1') = 'fmb_$i_2' )
    & ( sK63_main_Y('fmb_$i_2') = 'fmb_$i_2' ) ) ).

tff(declare_sK62_main_X,type,
    sK62_main_X: $i > $i ).

tff(function_sK62_main_X,axiom,
    ( ( sK62_main_X('fmb_$i_1') = 'fmb_$i_2' )
    & ( sK62_main_X('fmb_$i_2') = 'fmb_$i_2' ) ) ).

tff(declare_sK61_main_Y,type,
    sK61_main_Y: $i > $i ).

tff(function_sK61_main_Y,axiom,
    ( ( sK61_main_Y('fmb_$i_1') = 'fmb_$i_2' )
    & ( sK61_main_Y('fmb_$i_2') = 'fmb_$i_2' ) ) ).

tff(declare_sK60_main_X,type,
    sK60_main_X: $i > $i ).

tff(function_sK60_main_X,axiom,
    ( ( sK60_main_X('fmb_$i_1') = 'fmb_$i_2' )
    & ( sK60_main_X('fmb_$i_2') = 'fmb_$i_2' ) ) ).

tff(declare_sK59_main_Y,type,
    sK59_main_Y: $i > $i ).

tff(function_sK59_main_Y,axiom,
    ( ( sK59_main_Y('fmb_$i_1') = 'fmb_$i_2' )
    & ( sK59_main_Y('fmb_$i_2') = 'fmb_$i_2' ) ) ).

tff(declare_sK58_main_X,type,
    sK58_main_X: $i > $i ).

tff(function_sK58_main_X,axiom,
    ( ( sK58_main_X('fmb_$i_1') = 'fmb_$i_2' )
    & ( sK58_main_X('fmb_$i_2') = 'fmb_$i_2' ) ) ).

tff(declare_sK57_main_Y,type,
    sK57_main_Y: $i > $i ).

tff(function_sK57_main_Y,axiom,
    ( ( sK57_main_Y('fmb_$i_1') = 'fmb_$i_2' )
    & ( sK57_main_Y('fmb_$i_2') = 'fmb_$i_2' ) ) ).

tff(declare_sK56_main_X,type,
    sK56_main_X: $i > $i ).

tff(function_sK56_main_X,axiom,
    ( ( sK56_main_X('fmb_$i_1') = 'fmb_$i_2' )
    & ( sK56_main_X('fmb_$i_2') = 'fmb_$i_2' ) ) ).

tff(declare_sK55_main_Y,type,
    sK55_main_Y: $i > $i ).

tff(function_sK55_main_Y,axiom,
    ( ( sK55_main_Y('fmb_$i_1') = 'fmb_$i_2' )
    & ( sK55_main_Y('fmb_$i_2') = 'fmb_$i_2' ) ) ).

tff(declare_sK54_main_X,type,
    sK54_main_X: $i > $i ).

tff(function_sK54_main_X,axiom,
    ( ( sK54_main_X('fmb_$i_1') = 'fmb_$i_2' )
    & ( sK54_main_X('fmb_$i_2') = 'fmb_$i_2' ) ) ).

tff(declare_sK53_main_Y,type,
    sK53_main_Y: $i > $i ).

tff(function_sK53_main_Y,axiom,
    ( ( sK53_main_Y('fmb_$i_1') = 'fmb_$i_2' )
    & ( sK53_main_Y('fmb_$i_2') = 'fmb_$i_2' ) ) ).

tff(declare_sK52_main_X,type,
    sK52_main_X: $i > $i ).

tff(function_sK52_main_X,axiom,
    ( ( sK52_main_X('fmb_$i_1') = 'fmb_$i_2' )
    & ( sK52_main_X('fmb_$i_2') = 'fmb_$i_2' ) ) ).

tff(declare_sK51_main_Y,type,
    sK51_main_Y: $i > $i ).

tff(function_sK51_main_Y,axiom,
    ( ( sK51_main_Y('fmb_$i_1') = 'fmb_$i_2' )
    & ( sK51_main_Y('fmb_$i_2') = 'fmb_$i_2' ) ) ).

tff(declare_sK50_main_X,type,
    sK50_main_X: $i > $i ).

tff(function_sK50_main_X,axiom,
    ( ( sK50_main_X('fmb_$i_1') = 'fmb_$i_2' )
    & ( sK50_main_X('fmb_$i_2') = 'fmb_$i_2' ) ) ).

tff(declare_sK49_main_Y,type,
    sK49_main_Y: $i > $i ).

tff(function_sK49_main_Y,axiom,
    ( ( sK49_main_Y('fmb_$i_1') = 'fmb_$i_2' )
    & ( sK49_main_Y('fmb_$i_2') = 'fmb_$i_2' ) ) ).

tff(declare_sK48_main_X,type,
    sK48_main_X: $i > $i ).

tff(function_sK48_main_X,axiom,
    ( ( sK48_main_X('fmb_$i_1') = 'fmb_$i_2' )
    & ( sK48_main_X('fmb_$i_2') = 'fmb_$i_2' ) ) ).

tff(declare_sK47_main_Y,type,
    sK47_main_Y: $i > $i ).

tff(function_sK47_main_Y,axiom,
    ( ( sK47_main_Y('fmb_$i_1') = 'fmb_$i_2' )
    & ( sK47_main_Y('fmb_$i_2') = 'fmb_$i_2' ) ) ).

tff(declare_sK46_main_X,type,
    sK46_main_X: $i > $i ).

tff(function_sK46_main_X,axiom,
    ( ( sK46_main_X('fmb_$i_1') = 'fmb_$i_2' )
    & ( sK46_main_X('fmb_$i_2') = 'fmb_$i_2' ) ) ).

tff(declare_sK45_main_Y,type,
    sK45_main_Y: $i > $i ).

tff(function_sK45_main_Y,axiom,
    ( ( sK45_main_Y('fmb_$i_1') = 'fmb_$i_2' )
    & ( sK45_main_Y('fmb_$i_2') = 'fmb_$i_2' ) ) ).

tff(declare_sK44_main_X,type,
    sK44_main_X: $i > $i ).

tff(function_sK44_main_X,axiom,
    ( ( sK44_main_X('fmb_$i_1') = 'fmb_$i_2' )
    & ( sK44_main_X('fmb_$i_2') = 'fmb_$i_2' ) ) ).

tff(declare_sK43_main_Y,type,
    sK43_main_Y: $i > $i ).

tff(function_sK43_main_Y,axiom,
    ( ( sK43_main_Y('fmb_$i_1') = 'fmb_$i_2' )
    & ( sK43_main_Y('fmb_$i_2') = 'fmb_$i_2' ) ) ).

tff(declare_sK42_main_X,type,
    sK42_main_X: $i > $i ).

tff(function_sK42_main_X,axiom,
    ( ( sK42_main_X('fmb_$i_1') = 'fmb_$i_2' )
    & ( sK42_main_X('fmb_$i_2') = 'fmb_$i_2' ) ) ).

tff(declare_sK41_main_Y,type,
    sK41_main_Y: $i > $i ).

tff(function_sK41_main_Y,axiom,
    ( ( sK41_main_Y('fmb_$i_1') = 'fmb_$i_2' )
    & ( sK41_main_Y('fmb_$i_2') = 'fmb_$i_2' ) ) ).

tff(declare_sK40_main_X,type,
    sK40_main_X: $i > $i ).

tff(function_sK40_main_X,axiom,
    ( ( sK40_main_X('fmb_$i_1') = 'fmb_$i_2' )
    & ( sK40_main_X('fmb_$i_2') = 'fmb_$i_2' ) ) ).

tff(declare_sK39_main_Y,type,
    sK39_main_Y: $i > $i ).

tff(function_sK39_main_Y,axiom,
    ( ( sK39_main_Y('fmb_$i_1') = 'fmb_$i_2' )
    & ( sK39_main_Y('fmb_$i_2') = 'fmb_$i_2' ) ) ).

tff(declare_sK38_main_X,type,
    sK38_main_X: $i > $i ).

tff(function_sK38_main_X,axiom,
    ( ( sK38_main_X('fmb_$i_1') = 'fmb_$i_2' )
    & ( sK38_main_X('fmb_$i_2') = 'fmb_$i_2' ) ) ).

tff(declare_sK37_main_Y,type,
    sK37_main_Y: $i > $i ).

tff(function_sK37_main_Y,axiom,
    ( ( sK37_main_Y('fmb_$i_1') = 'fmb_$i_2' )
    & ( sK37_main_Y('fmb_$i_2') = 'fmb_$i_2' ) ) ).

tff(declare_sK36_main_X,type,
    sK36_main_X: $i > $i ).

tff(function_sK36_main_X,axiom,
    ( ( sK36_main_X('fmb_$i_1') = 'fmb_$i_2' )
    & ( sK36_main_X('fmb_$i_2') = 'fmb_$i_2' ) ) ).

tff(declare_sK35_main_Y,type,
    sK35_main_Y: $i > $i ).

tff(function_sK35_main_Y,axiom,
    ( ( sK35_main_Y('fmb_$i_1') = 'fmb_$i_2' )
    & ( sK35_main_Y('fmb_$i_2') = 'fmb_$i_2' ) ) ).

tff(declare_sK34_main_X,type,
    sK34_main_X: $i > $i ).

tff(function_sK34_main_X,axiom,
    ( ( sK34_main_X('fmb_$i_1') = 'fmb_$i_2' )
    & ( sK34_main_X('fmb_$i_2') = 'fmb_$i_2' ) ) ).

tff(declare_sK33_main_Y,type,
    sK33_main_Y: $i > $i ).

tff(function_sK33_main_Y,axiom,
    ( ( sK33_main_Y('fmb_$i_1') = 'fmb_$i_2' )
    & ( sK33_main_Y('fmb_$i_2') = 'fmb_$i_2' ) ) ).

tff(declare_sK32_main_X,type,
    sK32_main_X: $i > $i ).

tff(function_sK32_main_X,axiom,
    ( ( sK32_main_X('fmb_$i_1') = 'fmb_$i_2' )
    & ( sK32_main_X('fmb_$i_2') = 'fmb_$i_2' ) ) ).

tff(declare_sK31_main_Y,type,
    sK31_main_Y: $i > $i ).

tff(function_sK31_main_Y,axiom,
    ( ( sK31_main_Y('fmb_$i_1') = 'fmb_$i_2' )
    & ( sK31_main_Y('fmb_$i_2') = 'fmb_$i_2' ) ) ).

tff(declare_sK30_main_X,type,
    sK30_main_X: $i > $i ).

tff(function_sK30_main_X,axiom,
    ( ( sK30_main_X('fmb_$i_1') = 'fmb_$i_2' )
    & ( sK30_main_X('fmb_$i_2') = 'fmb_$i_2' ) ) ).

tff(declare_sK29_main_Y,type,
    sK29_main_Y: $i > $i ).

tff(function_sK29_main_Y,axiom,
    ( ( sK29_main_Y('fmb_$i_1') = 'fmb_$i_2' )
    & ( sK29_main_Y('fmb_$i_2') = 'fmb_$i_2' ) ) ).

tff(declare_sK28_main_X,type,
    sK28_main_X: $i > $i ).

tff(function_sK28_main_X,axiom,
    ( ( sK28_main_X('fmb_$i_1') = 'fmb_$i_2' )
    & ( sK28_main_X('fmb_$i_2') = 'fmb_$i_2' ) ) ).

tff(declare_sK27_main_Y,type,
    sK27_main_Y: $i > $i ).

tff(function_sK27_main_Y,axiom,
    ( ( sK27_main_Y('fmb_$i_1') = 'fmb_$i_2' )
    & ( sK27_main_Y('fmb_$i_2') = 'fmb_$i_2' ) ) ).

tff(declare_sK26_main_X,type,
    sK26_main_X: $i > $i ).

tff(function_sK26_main_X,axiom,
    ( ( sK26_main_X('fmb_$i_1') = 'fmb_$i_2' )
    & ( sK26_main_X('fmb_$i_2') = 'fmb_$i_2' ) ) ).

tff(declare_sK25_main_Y,type,
    sK25_main_Y: $i > $i ).

tff(function_sK25_main_Y,axiom,
    ( ( sK25_main_Y('fmb_$i_1') = 'fmb_$i_2' )
    & ( sK25_main_Y('fmb_$i_2') = 'fmb_$i_2' ) ) ).

tff(declare_sK24_main_X,type,
    sK24_main_X: $i > $i ).

tff(function_sK24_main_X,axiom,
    ( ( sK24_main_X('fmb_$i_1') = 'fmb_$i_2' )
    & ( sK24_main_X('fmb_$i_2') = 'fmb_$i_2' ) ) ).

tff(declare_sK23_main_Y,type,
    sK23_main_Y: $i > $i ).

tff(function_sK23_main_Y,axiom,
    ( ( sK23_main_Y('fmb_$i_1') = 'fmb_$i_2' )
    & ( sK23_main_Y('fmb_$i_2') = 'fmb_$i_2' ) ) ).

tff(declare_sK22_main_X,type,
    sK22_main_X: $i > $i ).

tff(function_sK22_main_X,axiom,
    ( ( sK22_main_X('fmb_$i_1') = 'fmb_$i_2' )
    & ( sK22_main_X('fmb_$i_2') = 'fmb_$i_2' ) ) ).

tff(declare_sK21_main_Y,type,
    sK21_main_Y: $i > $i ).

tff(function_sK21_main_Y,axiom,
    ( ( sK21_main_Y('fmb_$i_1') = 'fmb_$i_2' )
    & ( sK21_main_Y('fmb_$i_2') = 'fmb_$i_2' ) ) ).

tff(declare_sK20_main_X,type,
    sK20_main_X: $i > $i ).

tff(function_sK20_main_X,axiom,
    ( ( sK20_main_X('fmb_$i_1') = 'fmb_$i_2' )
    & ( sK20_main_X('fmb_$i_2') = 'fmb_$i_2' ) ) ).

tff(declare_sK19_main_Y,type,
    sK19_main_Y: $i > $i ).

tff(function_sK19_main_Y,axiom,
    ( ( sK19_main_Y('fmb_$i_1') = 'fmb_$i_2' )
    & ( sK19_main_Y('fmb_$i_2') = 'fmb_$i_2' ) ) ).

tff(declare_sK18_main_X,type,
    sK18_main_X: $i > $i ).

tff(function_sK18_main_X,axiom,
    ( ( sK18_main_X('fmb_$i_1') = 'fmb_$i_2' )
    & ( sK18_main_X('fmb_$i_2') = 'fmb_$i_2' ) ) ).

tff(declare_sK17_main_Y,type,
    sK17_main_Y: $i > $i ).

tff(function_sK17_main_Y,axiom,
    ( ( sK17_main_Y('fmb_$i_1') = 'fmb_$i_2' )
    & ( sK17_main_Y('fmb_$i_2') = 'fmb_$i_2' ) ) ).

tff(declare_sK16_main_X,type,
    sK16_main_X: $i > $i ).

tff(function_sK16_main_X,axiom,
    ( ( sK16_main_X('fmb_$i_1') = 'fmb_$i_2' )
    & ( sK16_main_X('fmb_$i_2') = 'fmb_$i_2' ) ) ).

tff(declare_sK15_main_Y,type,
    sK15_main_Y: $i > $i ).

tff(function_sK15_main_Y,axiom,
    ( ( sK15_main_Y('fmb_$i_1') = 'fmb_$i_2' )
    & ( sK15_main_Y('fmb_$i_2') = 'fmb_$i_2' ) ) ).

tff(declare_sK14_main_X,type,
    sK14_main_X: $i > $i ).

tff(function_sK14_main_X,axiom,
    ( ( sK14_main_X('fmb_$i_1') = 'fmb_$i_2' )
    & ( sK14_main_X('fmb_$i_2') = 'fmb_$i_2' ) ) ).

tff(declare_sK13_main_Y,type,
    sK13_main_Y: $i > $i ).

tff(function_sK13_main_Y,axiom,
    ( ( sK13_main_Y('fmb_$i_1') = 'fmb_$i_2' )
    & ( sK13_main_Y('fmb_$i_2') = 'fmb_$i_2' ) ) ).

tff(declare_sK12_main_X,type,
    sK12_main_X: $i > $i ).

tff(function_sK12_main_X,axiom,
    ( ( sK12_main_X('fmb_$i_1') = 'fmb_$i_2' )
    & ( sK12_main_X('fmb_$i_2') = 'fmb_$i_2' ) ) ).

tff(declare_sK11_main_Y,type,
    sK11_main_Y: $i > $i ).

tff(function_sK11_main_Y,axiom,
    ( ( sK11_main_Y('fmb_$i_1') = 'fmb_$i_2' )
    & ( sK11_main_Y('fmb_$i_2') = 'fmb_$i_2' ) ) ).

tff(declare_sK10_main_X,type,
    sK10_main_X: $i > $i ).

tff(function_sK10_main_X,axiom,
    ( ( sK10_main_X('fmb_$i_1') = 'fmb_$i_2' )
    & ( sK10_main_X('fmb_$i_2') = 'fmb_$i_2' ) ) ).

tff(declare_sK9_main_Y,type,
    sK9_main_Y: $i > $i ).

tff(function_sK9_main_Y,axiom,
    ( ( sK9_main_Y('fmb_$i_1') = 'fmb_$i_2' )
    & ( sK9_main_Y('fmb_$i_2') = 'fmb_$i_2' ) ) ).

tff(declare_sK8_main_X,type,
    sK8_main_X: $i > $i ).

tff(function_sK8_main_X,axiom,
    ( ( sK8_main_X('fmb_$i_1') = 'fmb_$i_2' )
    & ( sK8_main_X('fmb_$i_2') = 'fmb_$i_2' ) ) ).

tff(declare_sK7_main_Y,type,
    sK7_main_Y: $i > $i ).

tff(function_sK7_main_Y,axiom,
    ( ( sK7_main_Y('fmb_$i_1') = 'fmb_$i_2' )
    & ( sK7_main_Y('fmb_$i_2') = 'fmb_$i_2' ) ) ).

tff(declare_sK6_main_X,type,
    sK6_main_X: $i > $i ).

tff(function_sK6_main_X,axiom,
    ( ( sK6_main_X('fmb_$i_1') = 'fmb_$i_2' )
    & ( sK6_main_X('fmb_$i_2') = 'fmb_$i_2' ) ) ).

tff(declare_sK5_main_Y,type,
    sK5_main_Y: $i > $i ).

tff(function_sK5_main_Y,axiom,
    ( ( sK5_main_Y('fmb_$i_1') = 'fmb_$i_2' )
    & ( sK5_main_Y('fmb_$i_2') = 'fmb_$i_2' ) ) ).

tff(declare_sK4_main_X,type,
    sK4_main_X: $i > $i ).

tff(function_sK4_main_X,axiom,
    ( ( sK4_main_X('fmb_$i_1') = 'fmb_$i_2' )
    & ( sK4_main_X('fmb_$i_2') = 'fmb_$i_2' ) ) ).

tff(declare_sK3_main_Y,type,
    sK3_main_Y: $i > $i ).

tff(function_sK3_main_Y,axiom,
    ( ( sK3_main_Y('fmb_$i_1') = 'fmb_$i_2' )
    & ( sK3_main_Y('fmb_$i_2') = 'fmb_$i_2' ) ) ).

tff(declare_sK2_main_X,type,
    sK2_main_X: $i > $i ).

tff(function_sK2_main_X,axiom,
    ( ( sK2_main_X('fmb_$i_1') = 'fmb_$i_2' )
    & ( sK2_main_X('fmb_$i_2') = 'fmb_$i_2' ) ) ).

tff(declare_p3,type,
    p3: $i > $i ).

tff(function_p3,axiom,
    ( ( p3('fmb_$i_1') = 'fmb_$i_1' )
    & ( p3('fmb_$i_2') = 'fmb_$i_1' ) ) ).

tff(declare_p4,type,
    p4: $i > $i ).

tff(function_p4,axiom,
    ( ( p4('fmb_$i_1') = 'fmb_$i_1' )
    & ( p4('fmb_$i_2') = 'fmb_$i_1' ) ) ).

tff(declare_p5,type,
    p5: $i > $i ).

tff(function_p5,axiom,
    ( ( p5('fmb_$i_1') = 'fmb_$i_1' )
    & ( p5('fmb_$i_2') = 'fmb_$i_1' ) ) ).

tff(declare_p6,type,
    p6: $i > $i ).

tff(function_p6,axiom,
    ( ( p6('fmb_$i_1') = 'fmb_$i_1' )
    & ( p6('fmb_$i_2') = 'fmb_$i_1' ) ) ).

tff(declare_p7,type,
    p7: $i > $i ).

tff(function_p7,axiom,
    ( ( p7('fmb_$i_1') = 'fmb_$i_1' )
    & ( p7('fmb_$i_2') = 'fmb_$i_1' ) ) ).

tff(declare_p8,type,
    p8: $i > $i ).

tff(function_p8,axiom,
    ( ( p8('fmb_$i_1') = 'fmb_$i_1' )
    & ( p8('fmb_$i_2') = 'fmb_$i_1' ) ) ).

tff(declare_p9,type,
    p9: $i > $i ).

tff(function_p9,axiom,
    ( ( p9('fmb_$i_1') = 'fmb_$i_1' )
    & ( p9('fmb_$i_2') = 'fmb_$i_1' ) ) ).

tff(declare_p10,type,
    p10: $i > $i ).

tff(function_p10,axiom,
    ( ( p10('fmb_$i_1') = 'fmb_$i_1' )
    & ( p10('fmb_$i_2') = 'fmb_$i_1' ) ) ).

tff(declare_p11,type,
    p11: $i > $i ).

tff(function_p11,axiom,
    ( ( p11('fmb_$i_1') = 'fmb_$i_1' )
    & ( p11('fmb_$i_2') = 'fmb_$i_1' ) ) ).

tff(declare_p12,type,
    p12: $i > $i ).

tff(function_p12,axiom,
    ( ( p12('fmb_$i_1') = 'fmb_$i_1' )
    & ( p12('fmb_$i_2') = 'fmb_$i_1' ) ) ).

tff(declare_p13,type,
    p13: $i > $i ).

tff(function_p13,axiom,
    ( ( p13('fmb_$i_1') = 'fmb_$i_1' )
    & ( p13('fmb_$i_2') = 'fmb_$i_1' ) ) ).

tff(declare_p14,type,
    p14: $i > $i ).

tff(function_p14,axiom,
    ( ( p14('fmb_$i_1') = 'fmb_$i_1' )
    & ( p14('fmb_$i_2') = 'fmb_$i_1' ) ) ).

tff(declare_p15,type,
    p15: $i > $i ).

tff(function_p15,axiom,
    ( ( p15('fmb_$i_1') = 'fmb_$i_1' )
    & ( p15('fmb_$i_2') = 'fmb_$i_1' ) ) ).

tff(declare_p16,type,
    p16: $i > $i ).

tff(function_p16,axiom,
    ( ( p16('fmb_$i_1') = 'fmb_$i_1' )
    & ( p16('fmb_$i_2') = 'fmb_$i_1' ) ) ).

tff(declare_p17,type,
    p17: $i > $i ).

tff(function_p17,axiom,
    ( ( p17('fmb_$i_1') = 'fmb_$i_1' )
    & ( p17('fmb_$i_2') = 'fmb_$i_1' ) ) ).

tff(declare_p18,type,
    p18: $i > $i ).

tff(function_p18,axiom,
    ( ( p18('fmb_$i_1') = 'fmb_$i_1' )
    & ( p18('fmb_$i_2') = 'fmb_$i_1' ) ) ).

tff(declare_p19,type,
    p19: $i > $i ).

tff(function_p19,axiom,
    ( ( p19('fmb_$i_1') = 'fmb_$i_1' )
    & ( p19('fmb_$i_2') = 'fmb_$i_1' ) ) ).

tff(declare_p20,type,
    p20: $i > $i ).

tff(function_p20,axiom,
    ( ( p20('fmb_$i_1') = 'fmb_$i_1' )
    & ( p20('fmb_$i_2') = 'fmb_$i_1' ) ) ).

tff(declare_p21,type,
    p21: $i > $i ).

tff(function_p21,axiom,
    ( ( p21('fmb_$i_1') = 'fmb_$i_1' )
    & ( p21('fmb_$i_2') = 'fmb_$i_1' ) ) ).

tff(declare_p22,type,
    p22: $i > $i ).

tff(function_p22,axiom,
    ( ( p22('fmb_$i_1') = 'fmb_$i_1' )
    & ( p22('fmb_$i_2') = 'fmb_$i_1' ) ) ).

tff(declare_p23,type,
    p23: $i > $i ).

tff(function_p23,axiom,
    ( ( p23('fmb_$i_1') = 'fmb_$i_1' )
    & ( p23('fmb_$i_2') = 'fmb_$i_1' ) ) ).

tff(declare_p24,type,
    p24: $i > $i ).

tff(function_p24,axiom,
    ( ( p24('fmb_$i_1') = 'fmb_$i_1' )
    & ( p24('fmb_$i_2') = 'fmb_$i_1' ) ) ).

tff(declare_p25,type,
    p25: $i > $i ).

tff(function_p25,axiom,
    ( ( p25('fmb_$i_1') = 'fmb_$i_1' )
    & ( p25('fmb_$i_2') = 'fmb_$i_1' ) ) ).

tff(declare_p26,type,
    p26: $i > $i ).

tff(function_p26,axiom,
    ( ( p26('fmb_$i_1') = 'fmb_$i_1' )
    & ( p26('fmb_$i_2') = 'fmb_$i_1' ) ) ).

tff(declare_p27,type,
    p27: $i > $i ).

tff(function_p27,axiom,
    ( ( p27('fmb_$i_1') = 'fmb_$i_1' )
    & ( p27('fmb_$i_2') = 'fmb_$i_1' ) ) ).

tff(declare_p28,type,
    p28: $i > $i ).

tff(function_p28,axiom,
    ( ( p28('fmb_$i_1') = 'fmb_$i_1' )
    & ( p28('fmb_$i_2') = 'fmb_$i_1' ) ) ).

tff(declare_p29,type,
    p29: $i > $i ).

tff(function_p29,axiom,
    ( ( p29('fmb_$i_1') = 'fmb_$i_1' )
    & ( p29('fmb_$i_2') = 'fmb_$i_1' ) ) ).

tff(declare_p30,type,
    p30: $i > $i ).

tff(function_p30,axiom,
    ( ( p30('fmb_$i_1') = 'fmb_$i_1' )
    & ( p30('fmb_$i_2') = 'fmb_$i_1' ) ) ).

tff(declare_p31,type,
    p31: $i > $i ).

tff(function_p31,axiom,
    ( ( p31('fmb_$i_1') = 'fmb_$i_1' )
    & ( p31('fmb_$i_2') = 'fmb_$i_1' ) ) ).

tff(declare_p32,type,
    p32: $i > $i ).

tff(function_p32,axiom,
    ( ( p32('fmb_$i_1') = 'fmb_$i_1' )
    & ( p32('fmb_$i_2') = 'fmb_$i_1' ) ) ).

tff(declare_p33,type,
    p33: $i > $i ).

tff(function_p33,axiom,
    ( ( p33('fmb_$i_1') = 'fmb_$i_1' )
    & ( p33('fmb_$i_2') = 'fmb_$i_1' ) ) ).

tff(declare_p34,type,
    p34: $i > $i ).

tff(function_p34,axiom,
    ( ( p34('fmb_$i_1') = 'fmb_$i_1' )
    & ( p34('fmb_$i_2') = 'fmb_$i_1' ) ) ).

tff(declare_p35,type,
    p35: $i > $i ).

tff(function_p35,axiom,
    ( ( p35('fmb_$i_1') = 'fmb_$i_1' )
    & ( p35('fmb_$i_2') = 'fmb_$i_1' ) ) ).

tff(declare_p36,type,
    p36: $i > $i ).

tff(function_p36,axiom,
    ( ( p36('fmb_$i_1') = 'fmb_$i_1' )
    & ( p36('fmb_$i_2') = 'fmb_$i_1' ) ) ).

tff(declare_p37,type,
    p37: $i > $i ).

tff(function_p37,axiom,
    ( ( p37('fmb_$i_1') = 'fmb_$i_1' )
    & ( p37('fmb_$i_2') = 'fmb_$i_1' ) ) ).

tff(declare_p38,type,
    p38: $i > $i ).

tff(function_p38,axiom,
    ( ( p38('fmb_$i_1') = 'fmb_$i_1' )
    & ( p38('fmb_$i_2') = 'fmb_$i_1' ) ) ).

tff(declare_p39,type,
    p39: $i > $i ).

tff(function_p39,axiom,
    ( ( p39('fmb_$i_1') = 'fmb_$i_1' )
    & ( p39('fmb_$i_2') = 'fmb_$i_1' ) ) ).

tff(declare_p40,type,
    p40: $i > $i ).

tff(function_p40,axiom,
    ( ( p40('fmb_$i_1') = 'fmb_$i_1' )
    & ( p40('fmb_$i_2') = 'fmb_$i_1' ) ) ).

tff(declare_p41,type,
    p41: $i > $i ).

tff(function_p41,axiom,
    ( ( p41('fmb_$i_1') = 'fmb_$i_1' )
    & ( p41('fmb_$i_2') = 'fmb_$i_1' ) ) ).

tff(declare_p42,type,
    p42: $i > $i ).

tff(function_p42,axiom,
    ( ( p42('fmb_$i_1') = 'fmb_$i_1' )
    & ( p42('fmb_$i_2') = 'fmb_$i_1' ) ) ).

tff(declare_p43,type,
    p43: $i > $i ).

tff(function_p43,axiom,
    ( ( p43('fmb_$i_1') = 'fmb_$i_1' )
    & ( p43('fmb_$i_2') = 'fmb_$i_1' ) ) ).

tff(declare_p44,type,
    p44: $i > $i ).

tff(function_p44,axiom,
    ( ( p44('fmb_$i_1') = 'fmb_$i_1' )
    & ( p44('fmb_$i_2') = 'fmb_$i_1' ) ) ).

tff(declare_p45,type,
    p45: $i > $i ).

tff(function_p45,axiom,
    ( ( p45('fmb_$i_1') = 'fmb_$i_1' )
    & ( p45('fmb_$i_2') = 'fmb_$i_1' ) ) ).

tff(declare_p46,type,
    p46: $i > $i ).

tff(function_p46,axiom,
    ( ( p46('fmb_$i_1') = 'fmb_$i_1' )
    & ( p46('fmb_$i_2') = 'fmb_$i_1' ) ) ).

tff(declare_p47,type,
    p47: $i > $i ).

tff(function_p47,axiom,
    ( ( p47('fmb_$i_1') = 'fmb_$i_1' )
    & ( p47('fmb_$i_2') = 'fmb_$i_1' ) ) ).

tff(declare_p48,type,
    p48: $i > $i ).

tff(function_p48,axiom,
    ( ( p48('fmb_$i_1') = 'fmb_$i_1' )
    & ( p48('fmb_$i_2') = 'fmb_$i_1' ) ) ).

tff(declare_p49,type,
    p49: $i > $i ).

tff(function_p49,axiom,
    ( ( p49('fmb_$i_1') = 'fmb_$i_1' )
    & ( p49('fmb_$i_2') = 'fmb_$i_1' ) ) ).

tff(declare_p50,type,
    p50: $i > $i ).

tff(function_p50,axiom,
    ( ( p50('fmb_$i_1') = 'fmb_$i_1' )
    & ( p50('fmb_$i_2') = 'fmb_$i_1' ) ) ).

tff(declare_p51,type,
    p51: $i > $i ).

tff(function_p51,axiom,
    ( ( p51('fmb_$i_1') = 'fmb_$i_1' )
    & ( p51('fmb_$i_2') = 'fmb_$i_1' ) ) ).

tff(declare_p52,type,
    p52: $i > $i ).

tff(function_p52,axiom,
    ( ( p52('fmb_$i_1') = 'fmb_$i_1' )
    & ( p52('fmb_$i_2') = 'fmb_$i_1' ) ) ).

tff(declare_p53,type,
    p53: $i > $i ).

tff(function_p53,axiom,
    ( ( p53('fmb_$i_1') = 'fmb_$i_1' )
    & ( p53('fmb_$i_2') = 'fmb_$i_1' ) ) ).

tff(declare_p54,type,
    p54: $i > $i ).

tff(function_p54,axiom,
    ( ( p54('fmb_$i_1') = 'fmb_$i_1' )
    & ( p54('fmb_$i_2') = 'fmb_$i_1' ) ) ).

tff(declare_p55,type,
    p55: $i > $i ).

tff(function_p55,axiom,
    ( ( p55('fmb_$i_1') = 'fmb_$i_1' )
    & ( p55('fmb_$i_2') = 'fmb_$i_1' ) ) ).

tff(declare_p56,type,
    p56: $i > $i ).

tff(function_p56,axiom,
    ( ( p56('fmb_$i_1') = 'fmb_$i_1' )
    & ( p56('fmb_$i_2') = 'fmb_$i_1' ) ) ).

tff(declare_p57,type,
    p57: $i > $i ).

tff(function_p57,axiom,
    ( ( p57('fmb_$i_1') = 'fmb_$i_1' )
    & ( p57('fmb_$i_2') = 'fmb_$i_1' ) ) ).

tff(declare_p58,type,
    p58: $i > $i ).

tff(function_p58,axiom,
    ( ( p58('fmb_$i_1') = 'fmb_$i_1' )
    & ( p58('fmb_$i_2') = 'fmb_$i_1' ) ) ).

tff(declare_p59,type,
    p59: $i > $i ).

tff(function_p59,axiom,
    ( ( p59('fmb_$i_1') = 'fmb_$i_1' )
    & ( p59('fmb_$i_2') = 'fmb_$i_1' ) ) ).

tff(declare_p60,type,
    p60: $i > $i ).

tff(function_p60,axiom,
    ( ( p60('fmb_$i_1') = 'fmb_$i_1' )
    & ( p60('fmb_$i_2') = 'fmb_$i_1' ) ) ).

tff(declare_p61,type,
    p61: $i > $i ).

tff(function_p61,axiom,
    ( ( p61('fmb_$i_1') = 'fmb_$i_1' )
    & ( p61('fmb_$i_2') = 'fmb_$i_1' ) ) ).

tff(declare_p62,type,
    p62: $i > $i ).

tff(function_p62,axiom,
    ( ( p62('fmb_$i_1') = 'fmb_$i_1' )
    & ( p62('fmb_$i_2') = 'fmb_$i_1' ) ) ).

tff(declare_p63,type,
    p63: $i > $i ).

tff(function_p63,axiom,
    ( ( p63('fmb_$i_1') = 'fmb_$i_1' )
    & ( p63('fmb_$i_2') = 'fmb_$i_1' ) ) ).

tff(declare_p64,type,
    p64: $i > $i ).

tff(function_p64,axiom,
    ( ( p64('fmb_$i_1') = 'fmb_$i_1' )
    & ( p64('fmb_$i_2') = 'fmb_$i_1' ) ) ).

tff(declare_p65,type,
    p65: $i > $i ).

tff(function_p65,axiom,
    ( ( p65('fmb_$i_1') = 'fmb_$i_1' )
    & ( p65('fmb_$i_2') = 'fmb_$i_1' ) ) ).

tff(declare_p66,type,
    p66: $i > $i ).

tff(function_p66,axiom,
    ( ( p66('fmb_$i_1') = 'fmb_$i_1' )
    & ( p66('fmb_$i_2') = 'fmb_$i_1' ) ) ).

tff(declare_p67,type,
    p67: $i > $i ).

tff(function_p67,axiom,
    ( ( p67('fmb_$i_1') = 'fmb_$i_1' )
    & ( p67('fmb_$i_2') = 'fmb_$i_1' ) ) ).

tff(declare_p68,type,
    p68: $i > $i ).

tff(function_p68,axiom,
    ( ( p68('fmb_$i_1') = 'fmb_$i_1' )
    & ( p68('fmb_$i_2') = 'fmb_$i_1' ) ) ).

tff(declare_p69,type,
    p69: $i > $i ).

tff(function_p69,axiom,
    ( ( p69('fmb_$i_1') = 'fmb_$i_1' )
    & ( p69('fmb_$i_2') = 'fmb_$i_1' ) ) ).

tff(declare_p70,type,
    p70: $i > $i ).

tff(function_p70,axiom,
    ( ( p70('fmb_$i_1') = 'fmb_$i_1' )
    & ( p70('fmb_$i_2') = 'fmb_$i_1' ) ) ).

tff(declare_p71,type,
    p71: $i > $i ).

tff(function_p71,axiom,
    ( ( p71('fmb_$i_1') = 'fmb_$i_1' )
    & ( p71('fmb_$i_2') = 'fmb_$i_1' ) ) ).

tff(declare_p72,type,
    p72: $i > $i ).

tff(function_p72,axiom,
    ( ( p72('fmb_$i_1') = 'fmb_$i_1' )
    & ( p72('fmb_$i_2') = 'fmb_$i_1' ) ) ).

tff(declare_p73,type,
    p73: $i > $i ).

tff(function_p73,axiom,
    ( ( p73('fmb_$i_1') = 'fmb_$i_1' )
    & ( p73('fmb_$i_2') = 'fmb_$i_1' ) ) ).

tff(declare_p74,type,
    p74: $i > $i ).

tff(function_p74,axiom,
    ( ( p74('fmb_$i_1') = 'fmb_$i_1' )
    & ( p74('fmb_$i_2') = 'fmb_$i_1' ) ) ).

tff(declare_p75,type,
    p75: $i > $i ).

tff(function_p75,axiom,
    ( ( p75('fmb_$i_1') = 'fmb_$i_1' )
    & ( p75('fmb_$i_2') = 'fmb_$i_1' ) ) ).

tff(declare_p76,type,
    p76: $i > $i ).

tff(function_p76,axiom,
    ( ( p76('fmb_$i_1') = 'fmb_$i_1' )
    & ( p76('fmb_$i_2') = 'fmb_$i_1' ) ) ).

tff(declare_p77,type,
    p77: $i > $i ).

tff(function_p77,axiom,
    ( ( p77('fmb_$i_1') = 'fmb_$i_1' )
    & ( p77('fmb_$i_2') = 'fmb_$i_1' ) ) ).

tff(declare_p78,type,
    p78: $i > $i ).

tff(function_p78,axiom,
    ( ( p78('fmb_$i_1') = 'fmb_$i_1' )
    & ( p78('fmb_$i_2') = 'fmb_$i_1' ) ) ).

tff(declare_p79,type,
    p79: $i > $i ).

tff(function_p79,axiom,
    ( ( p79('fmb_$i_1') = 'fmb_$i_1' )
    & ( p79('fmb_$i_2') = 'fmb_$i_1' ) ) ).

tff(declare_p80,type,
    p80: $i > $i ).

tff(function_p80,axiom,
    ( ( p80('fmb_$i_1') = 'fmb_$i_1' )
    & ( p80('fmb_$i_2') = 'fmb_$i_1' ) ) ).

tff(declare_p81,type,
    p81: $i > $i ).

tff(function_p81,axiom,
    ( ( p81('fmb_$i_1') = 'fmb_$i_1' )
    & ( p81('fmb_$i_2') = 'fmb_$i_1' ) ) ).

tff(declare_p82,type,
    p82: $i > $i ).

tff(function_p82,axiom,
    ( ( p82('fmb_$i_1') = 'fmb_$i_1' )
    & ( p82('fmb_$i_2') = 'fmb_$i_1' ) ) ).

tff(declare_p83,type,
    p83: $i > $i ).

tff(function_p83,axiom,
    ( ( p83('fmb_$i_1') = 'fmb_$i_1' )
    & ( p83('fmb_$i_2') = 'fmb_$i_1' ) ) ).

tff(declare_p84,type,
    p84: $i > $i ).

tff(function_p84,axiom,
    ( ( p84('fmb_$i_1') = 'fmb_$i_1' )
    & ( p84('fmb_$i_2') = 'fmb_$i_1' ) ) ).

tff(declare_p85,type,
    p85: $i > $i ).

tff(function_p85,axiom,
    ( ( p85('fmb_$i_1') = 'fmb_$i_1' )
    & ( p85('fmb_$i_2') = 'fmb_$i_1' ) ) ).

tff(declare_tuple,type,
    tuple: ( $i * $i ) > $i ).

tff(function_tuple,axiom,
    ( ( tuple('fmb_$i_1','fmb_$i_1') = 'fmb_$i_2' )
    & ( tuple('fmb_$i_1','fmb_$i_2') = 'fmb_$i_1' )
    & ( tuple('fmb_$i_2','fmb_$i_1') = 'fmb_$i_2' )
    & ( tuple('fmb_$i_2','fmb_$i_2') = 'fmb_$i_2' ) ) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : LCL687-10.015 : TPTP v9.3.1. Released v7.3.0.
% 0.00/0.04  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.37  % Computer : n020.cluster.edu
% 0.09/0.37  % Model    : x86_64 x86_64
% 0.09/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.37  % Memory   : 8046.5625MB
% 0.09/0.37  % OS       : Linux 6.8.0-71-generic
% 0.09/0.37  % CPULimit : 300
% 0.09/0.37  % WCLimit  : 300
% 0.09/0.37  % DateTime : Sun Sep 27 16:39:50 UTC 2026
% 0.09/0.37  % CPUTime  : 
% 0.09/0.37  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.40  Running first-order model finding
% 0.09/0.40  Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.96/0.60  % (3589158)Will run a generic schedule for satisfiability detection.
% 0.96/0.60  % (3589167)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=82801948:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.96/0.60  % (3589164)% WARNING: option uhcvi not known.
% 0.96/0.60  % (3589163)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2798831477_2999 on theBenchmark for (2999ds/0Mi)
% 0.96/0.60  % (3589164)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=77615477:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.96/0.60  % (3589165)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=75751758:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.96/0.60  % (3589166)dis+10_1_sil=32000:sp=arity:random_seed=4289471078:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.96/0.60  % (3589169)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3973648345:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.96/0.60  % (3589168)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3421960815:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.96/0.60  % (3589167)Instruction limit reached! 
% 0.96/0.60  % (3589167)------------------------------
% 0.96/0.60  % (3589167)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.96/0.60  % (3589167)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.96/0.60  % (3589167)CaDiCaL version: 2.1.3
% 0.96/0.60  % (3589167)Termination reason: Instruction limit
% 0.96/0.60  % (3589167)Termination phase: Saturation
% 0.96/0.60  % (3589167)Time elapsed: 0.030 s
% 0.96/0.60  % (3589167)Peak memory usage: 13 MB
% 0.96/0.60  % (3589167)Instructions burned: 118 (million)
% 0.96/0.60  % (3589177)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=2858522840:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 0.96/0.60  % (3589166)Instruction limit reached! 
% 0.96/0.60  % (3589166)------------------------------
% 0.96/0.60  % (3589166)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.96/0.60  % (3589166)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.96/0.60  % (3589166)CaDiCaL version: 2.1.3
% 0.96/0.60  % (3589166)Termination reason: Instruction limit
% 0.96/0.60  % (3589166)Termination phase: Saturation
% 0.96/0.60  % (3589166)Time elapsed: 0.050 s
% 0.96/0.60  % (3589166)Peak memory usage: 12 MB
% 0.96/0.60  % (3589166)Instructions burned: 104 (million)
% 0.96/0.60  % (3589168)Instruction limit reached! 
% 0.96/0.60  % (3589168)------------------------------
% 0.96/0.60  % (3589168)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.96/0.60  % (3589168)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.96/0.60  % (3589168)CaDiCaL version: 2.1.3
% 0.96/0.60  % (3589168)Termination reason: Instruction limit
% 0.96/0.60  % (3589168)Termination phase: Saturation
% 0.96/0.60  % (3589168)Time elapsed: 0.062 s
% 0.96/0.60  % (3589168)Peak memory usage: 14 MB
% 0.96/0.60  % (3589168)Instructions burned: 132 (million)
% 0.96/0.60  % (3589179)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=3093590096:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 0.96/0.60  % (3589169)Instruction limit reached! 
% 0.96/0.60  % (3589169)------------------------------
% 0.96/0.60  % (3589169)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.96/0.60  % (3589169)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.96/0.60  % (3589169)CaDiCaL version: 2.1.3
% 0.96/0.60  % (3589169)Termination reason: Instruction limit
% 0.96/0.60  % (3589169)Termination phase: Saturation
% 0.96/0.60  % (3589169)Time elapsed: 0.081 s
% 0.96/0.60  % (3589169)Peak memory usage: 14 MB
% 0.96/0.60  % (3589169)Instructions burned: 159 (million)
% 0.96/0.60  % (3589180)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=3910897999:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 0.96/0.60  % TRYING [1]
% 0.96/0.60  % TRYING [2]
% 0.96/0.60  % (3589183)ott-21_1_sil=16000:fs=off:random_seed=1835654131:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 0.96/0.60  % TRYING [1]
% 0.96/0.60  % TRYING [2]
% 0.96/0.60  % Finite Model Found!
% 0.96/0.60  % SZS status Satisfiable for theBenchmark
% 0.96/0.60  % (3589179)Instruction limit reached! 
% 0.96/0.60  % (3589179)------------------------------
% 0.96/0.60  % (3589179)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.96/0.60  % (3589179)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.96/0.60  % (3589179)CaDiCaL version: 2.1.3
% 0.96/0.60  % (3589179)Termination reason: Instruction limit
% 0.96/0.60  % (3589179)Termination phase: Saturation
% 0.96/0.60  % (3589179)Time elapsed: 0.064 s
% 0.96/0.60  % (3589179)Peak memory usage: 13 MB
% 0.96/0.60  % (3589179)Instructions burned: 132 (million)
% 0.96/0.60  % (3589177) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3589158-3589177"...
% 0.96/0.60  % (3589177)...printing done.
% 0.96/0.60  % SZS output start FiniteModel for theBenchmark
% See solution above
% 0.96/0.60  % (3589177)------------------------------
% 0.96/0.60  % (3589177)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.96/0.60  % (3589177)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.96/0.60  % (3589177)CaDiCaL version: 2.1.3
% 0.96/0.60  % (3589177)Termination reason: Satisfiable
% 0.96/0.60  % (3589177)Time elapsed: 0.099 s
% 0.96/0.60  % (3589177)Peak memory usage: 24 MB
% 0.96/0.60  % (3589177)Instructions burned: 440 (million)
% 0.96/0.60  % (3589158)Success in time 0.182 s
% 0.96/0.60  % Vampire exiting
%------------------------------------------------------------------------------