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Vampire-SAT---5.0.1.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---5.0.1
% Problem  : NUM948_5 : TPTP v9.3.1. Released v6.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT

% Computer : n014.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 12:26:16 PM UTC 2026

% Result   : Theorem 0.18s 0.49s
% Output   : Refutation 0.18s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   34
%            Number of leaves      :   11
% Syntax   : Number of formulae    :   92 (  54 unt;   0 typ;   0 def)
%            Number of atoms       :  192 (  22 equ)
%            Maximal formula atoms :    7 (   2 avg)
%            Number of connectives :  208 ( 108   ~;  76   |;  21   &)
%                                         (   0 <=>;   3  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   3 avg)
%            Maximal term depth    :    9 (   2 avg)
%            Number of types       :    3 (   2 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of predicates  :   16 (  14 usr;   2 prp; 0-3 aty)
%            Number of functors    :   13 (  13 usr;   6 con; 0-3 aty)
%            Number of variables   :   60 (  56   !;   4   ?;  60   :)

% Comments : 
%------------------------------------------------------------------------------
tff(type_def_5,type,
    bool: $tType ).

tff(type_def_6,type,
    int: $tType ).

tff(func_def_0,type,
    one_one: 
      !>[X0: $tType] : X0 ).

tff(func_def_1,type,
    plus_plus: 
      !>[X0: $tType] : ( ( X0 * X0 ) > X0 ) ).

tff(func_def_2,type,
    times_times: 
      !>[X0: $tType] : ( ( X0 * X0 ) > X0 ) ).

tff(func_def_3,type,
    zero_zero: 
      !>[X0: $tType] : X0 ).

tff(func_def_4,type,
    bit0: int > int ).

tff(func_def_5,type,
    bit1: int > int ).

tff(func_def_6,type,
    pls: int ).

tff(func_def_7,type,
    number_number_of: 
      !>[X0: $tType] : ( int > X0 ) ).

tff(func_def_8,type,
    fFalse: bool ).

tff(func_def_9,type,
    fTrue: bool ).

tff(func_def_10,type,
    m: int ).

tff(func_def_11,type,
    s1: int ).

tff(func_def_12,type,
    sK0: int ).

tff(pred_def_1,type,
    number: 
      !>[X0: $tType] : $o ).

tff(pred_def_2,type,
    semiring: 
      !>[X0: $tType] : $o ).

tff(pred_def_3,type,
    number_ring: 
      !>[X0: $tType] : $o ).

tff(pred_def_4,type,
    ring_char_0: 
      !>[X0: $tType] : $o ).

tff(pred_def_5,type,
    linorder: 
      !>[X0: $tType] : $o ).

tff(pred_def_6,type,
    number_semiring: 
      !>[X0: $tType] : $o ).

tff(pred_def_7,type,
    linordered_idom: 
      !>[X0: $tType] : $o ).

tff(pred_def_8,type,
    linord219039673up_add: 
      !>[X0: $tType] : $o ).

tff(pred_def_9,type,
    zcong: ( int * int * int ) > $o ).

tff(pred_def_10,type,
    zprime: int > $o ).

tff(pred_def_11,type,
    ord_less: 
      !>[X0: $tType] : ( ( X0 * X0 ) > $o ) ).

tff(pred_def_12,type,
    ord_less_eq: 
      !>[X0: $tType] : ( ( X0 * X0 ) > $o ) ).

tff(pred_def_13,type,
    pp: bool > $o ).

tff(f1,axiom,
    ? [X1: int] :
      ( ord_less_eq(int,zero_zero(int),X1)
      & ord_less(int,X1,plus_plus(int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m),one_one(int)))
      & zcong(s1,X1,plus_plus(int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m),one_one(int)))
      & ! [X2: int] :
          ( ( ord_less_eq(int,zero_zero(int),X2)
            & ord_less(int,X2,plus_plus(int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m),one_one(int)))
            & zcong(s1,X2,plus_plus(int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m),one_one(int))) )
         => ( X2 = X1 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_0__096EX_B_As_O_A0_A_060_061_As_A_G_As_A_060_A4_A_K_Am_A_L_A1_A_G_A_091s1_A_061_As_093_A_Imod_A4_A_K_Am_A_L_A1_J_096) ).

tff(f33,axiom,
    ! [X0: int] : ( times_times(int,pls,X0) = pls ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_32_mult__Pls) ).

tff(f62,axiom,
    ! [X0: int] : ( number_number_of(int,X0) = X0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_61_number__of__is__id) ).

tff(f63,axiom,
    pls = zero_zero(int),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_62_Pls__def) ).

tff(f71,axiom,
    ! [X0: int] : ( bit0(X0) = plus_plus(int,X0,X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_70_Bit0__def) ).

tff(f75,axiom,
    ! [X0: int,X1: int,X2: int] : ( times_times(int,plus_plus(int,X2,X1),X0) = plus_plus(int,times_times(int,X2,X0),times_times(int,X1,X0)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_74_int__distrib_I1_J) ).

tff(f77,axiom,
    ! [X0: int,X1: int] : ( plus_plus(int,number_number_of(int,X1),number_number_of(int,X0)) = number_number_of(int,plus_plus(int,X1,X0)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_76_plus__numeral__code_I9_J) ).

tff(f90,axiom,
    zero_zero(int) = number_number_of(int,pls),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_89_zero__is__num__zero) ).

tff(f92,axiom,
    ! [X0: int] : ( bit1(X0) = plus_plus(int,plus_plus(int,one_one(int),X0),X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_91_Bit1__def) ).

tff(f110,axiom,
    ! [X0: int] :
      ( ( ord_less_eq(int,zero_zero(int),X0)
        & ord_less(int,X0,plus_plus(int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m),one_one(int)))
        & zcong(s1,X0,plus_plus(int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m),one_one(int))) )
     => thesis ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0) ).

tff(f111,conjecture,
    thesis,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_1) ).

tff(f112,negated_conjecture,
    ~ thesis,
    inference(negated_conjecture,[status(cth)],[f111]) ).

tff(f113,plain,
    ? [X0: int] :
      ( ord_less_eq(int,zero_zero(int),X0)
      & ord_less(int,X0,plus_plus(int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m),one_one(int)))
      & zcong(s1,X0,plus_plus(int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m),one_one(int)))
      & ! [X1: int] :
          ( ( ord_less_eq(int,zero_zero(int),X1)
            & ord_less(int,X1,plus_plus(int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m),one_one(int)))
            & zcong(s1,X1,plus_plus(int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m),one_one(int))) )
         => ( X0 = X1 ) ) ),
    inference(rectify,[],[f1]) ).

tff(f114,plain,
    ~ thesis,
    inference(flattening,[],[f112]) ).

tff(f116,plain,
    ? [X0: int] :
      ( ord_less_eq(int,zero_zero(int),X0)
      & ord_less(int,X0,plus_plus(int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m),one_one(int)))
      & zcong(s1,X0,plus_plus(int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m),one_one(int)))
      & ! [X1: int] :
          ( ( X0 = X1 )
          | ~ ord_less_eq(int,zero_zero(int),X1)
          | ~ ord_less(int,X1,plus_plus(int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m),one_one(int)))
          | ~ zcong(s1,X1,plus_plus(int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m),one_one(int))) ) ),
    inference(ennf_transformation,[],[f113]) ).

tff(f117,plain,
    ? [X0: int] :
      ( ord_less_eq(int,zero_zero(int),X0)
      & ord_less(int,X0,plus_plus(int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m),one_one(int)))
      & zcong(s1,X0,plus_plus(int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m),one_one(int)))
      & ! [X1: int] :
          ( ( X0 = X1 )
          | ~ ord_less_eq(int,zero_zero(int),X1)
          | ~ ord_less(int,X1,plus_plus(int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m),one_one(int)))
          | ~ zcong(s1,X1,plus_plus(int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m),one_one(int))) ) ),
    inference(flattening,[],[f116]) ).

tff(f169,plain,
    ! [X0: int] :
      ( thesis
      | ~ ord_less_eq(int,zero_zero(int),X0)
      | ~ ord_less(int,X0,plus_plus(int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m),one_one(int)))
      | ~ zcong(s1,X0,plus_plus(int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m),one_one(int))) ),
    inference(ennf_transformation,[],[f110]) ).

tff(f170,plain,
    ! [X0: int] :
      ( thesis
      | ~ ord_less_eq(int,zero_zero(int),X0)
      | ~ ord_less(int,X0,plus_plus(int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m),one_one(int)))
      | ~ zcong(s1,X0,plus_plus(int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m),one_one(int))) ),
    inference(flattening,[],[f169]) ).

tff(f171,plain,
    ( ord_less_eq(int,zero_zero(int),sK0)
    & ord_less(int,sK0,plus_plus(int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m),one_one(int)))
    & zcong(s1,sK0,plus_plus(int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m),one_one(int)))
    & ! [X1: int] :
        ( ( sK0 = X1 )
        | ~ ord_less_eq(int,zero_zero(int),X1)
        | ~ ord_less(int,X1,plus_plus(int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m),one_one(int)))
        | ~ zcong(s1,X1,plus_plus(int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m),one_one(int))) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X0,sK0)],[f117]) ).

tff(f223,plain,
    zcong(s1,sK0,plus_plus(int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m),one_one(int))),
    inference(cnf_transformation,[],[f171]) ).

tff(f224,plain,
    ord_less(int,sK0,plus_plus(int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m),one_one(int))),
    inference(cnf_transformation,[],[f171]) ).

tff(f225,plain,
    ord_less_eq(int,zero_zero(int),sK0),
    inference(cnf_transformation,[],[f171]) ).

tff(f275,plain,
    ! [X0: int] : ( pls = times_times(int,pls,X0) ),
    inference(cnf_transformation,[],[f33]) ).

tff(f319,plain,
    ! [X0: int] : ( number_number_of(int,X0) = X0 ),
    inference(cnf_transformation,[],[f62]) ).

tff(f320,plain,
    zero_zero(int) = pls,
    inference(cnf_transformation,[],[f63]) ).

tff(f334,plain,
    ! [X0: int] : ( bit0(X0) = plus_plus(int,X0,X0) ),
    inference(cnf_transformation,[],[f71]) ).

tff(f340,plain,
    ! [X2: int,X0: int,X1: int] : ( times_times(int,plus_plus(int,X2,X1),X0) = plus_plus(int,times_times(int,X2,X0),times_times(int,X1,X0)) ),
    inference(cnf_transformation,[],[f75]) ).

tff(f342,plain,
    ! [X0: int,X1: int] : ( plus_plus(int,number_number_of(int,X1),number_number_of(int,X0)) = number_number_of(int,plus_plus(int,X1,X0)) ),
    inference(cnf_transformation,[],[f77]) ).

tff(f361,plain,
    zero_zero(int) = number_number_of(int,pls),
    inference(cnf_transformation,[],[f90]) ).

tff(f363,plain,
    ! [X0: int] : ( bit1(X0) = plus_plus(int,plus_plus(int,one_one(int),X0),X0) ),
    inference(cnf_transformation,[],[f92]) ).

tff(f383,plain,
    ! [X0: int] :
      ( thesis
      | ~ ord_less_eq(int,zero_zero(int),X0)
      | ~ ord_less(int,X0,plus_plus(int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m),one_one(int)))
      | ~ zcong(s1,X0,plus_plus(int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m),one_one(int))) ),
    inference(cnf_transformation,[],[f170]) ).

tff(f384,plain,
    ~ thesis,
    inference(cnf_transformation,[],[f114]) ).

tff(f385,plain,
    ord_less(int,sK0,plus_plus(int,times_times(int,number_number_of(int,plus_plus(int,plus_plus(int,plus_plus(int,plus_plus(int,one_one(int),pls),pls),plus_plus(int,plus_plus(int,one_one(int),pls),pls)),plus_plus(int,plus_plus(int,plus_plus(int,one_one(int),pls),pls),plus_plus(int,plus_plus(int,one_one(int),pls),pls)))),m),one_one(int))),
    inference(definition_unfolding,[],[f224,f334,f334,f363]) ).

tff(f386,plain,
    zcong(s1,sK0,plus_plus(int,times_times(int,number_number_of(int,plus_plus(int,plus_plus(int,plus_plus(int,plus_plus(int,one_one(int),pls),pls),plus_plus(int,plus_plus(int,one_one(int),pls),pls)),plus_plus(int,plus_plus(int,plus_plus(int,one_one(int),pls),pls),plus_plus(int,plus_plus(int,one_one(int),pls),pls)))),m),one_one(int))),
    inference(definition_unfolding,[],[f223,f334,f334,f363]) ).

tff(f471,plain,
    ! [X0: int] :
      ( thesis
      | ~ ord_less_eq(int,zero_zero(int),X0)
      | ~ ord_less(int,X0,plus_plus(int,times_times(int,number_number_of(int,plus_plus(int,plus_plus(int,plus_plus(int,plus_plus(int,one_one(int),pls),pls),plus_plus(int,plus_plus(int,one_one(int),pls),pls)),plus_plus(int,plus_plus(int,plus_plus(int,one_one(int),pls),pls),plus_plus(int,plus_plus(int,one_one(int),pls),pls)))),m),one_one(int)))
      | ~ zcong(s1,X0,plus_plus(int,times_times(int,number_number_of(int,plus_plus(int,plus_plus(int,plus_plus(int,plus_plus(int,one_one(int),pls),pls),plus_plus(int,plus_plus(int,one_one(int),pls),pls)),plus_plus(int,plus_plus(int,plus_plus(int,one_one(int),pls),pls),plus_plus(int,plus_plus(int,one_one(int),pls),pls)))),m),one_one(int))) ),
    inference(definition_unfolding,[],[f383,f334,f334,f363,f334,f334,f363]) ).

tff(f472,plain,
    ! [X0: int] :
      ( ~ ord_less_eq(int,zero_zero(int),X0)
      | ~ ord_less(int,X0,plus_plus(int,times_times(int,number_number_of(int,plus_plus(int,plus_plus(int,plus_plus(int,plus_plus(int,one_one(int),pls),pls),plus_plus(int,plus_plus(int,one_one(int),pls),pls)),plus_plus(int,plus_plus(int,plus_plus(int,one_one(int),pls),pls),plus_plus(int,plus_plus(int,one_one(int),pls),pls)))),m),one_one(int)))
      | ~ zcong(s1,X0,plus_plus(int,times_times(int,number_number_of(int,plus_plus(int,plus_plus(int,plus_plus(int,plus_plus(int,one_one(int),pls),pls),plus_plus(int,plus_plus(int,one_one(int),pls),pls)),plus_plus(int,plus_plus(int,plus_plus(int,one_one(int),pls),pls),plus_plus(int,plus_plus(int,one_one(int),pls),pls)))),m),one_one(int))) ),
    inference(forward_subsumption_resolution,[],[f471,f384]) ).

tff(f492,plain,
    ! [X0: int] : ( zero_zero(int) = times_times(int,zero_zero(int),X0) ),
    inference(forward_demodulation,[],[f275,f320]) ).

tff(f522,plain,
    zcong(s1,sK0,plus_plus(int,times_times(int,plus_plus(int,number_number_of(int,plus_plus(int,plus_plus(int,plus_plus(int,one_one(int),pls),pls),plus_plus(int,plus_plus(int,one_one(int),pls),pls))),number_number_of(int,plus_plus(int,plus_plus(int,plus_plus(int,one_one(int),pls),pls),plus_plus(int,plus_plus(int,one_one(int),pls),pls)))),m),one_one(int))),
    inference(forward_demodulation,[],[f386,f342]) ).

tff(f523,plain,
    ord_less(int,sK0,plus_plus(int,times_times(int,plus_plus(int,number_number_of(int,plus_plus(int,plus_plus(int,plus_plus(int,one_one(int),pls),pls),plus_plus(int,plus_plus(int,one_one(int),pls),pls))),number_number_of(int,plus_plus(int,plus_plus(int,plus_plus(int,one_one(int),pls),pls),plus_plus(int,plus_plus(int,one_one(int),pls),pls)))),m),one_one(int))),
    inference(forward_demodulation,[],[f385,f342]) ).

tff(f524,plain,
    ! [X0: int] :
      ( ~ ord_less(int,X0,plus_plus(int,times_times(int,plus_plus(int,number_number_of(int,plus_plus(int,plus_plus(int,plus_plus(int,one_one(int),pls),pls),plus_plus(int,plus_plus(int,one_one(int),pls),pls))),number_number_of(int,plus_plus(int,plus_plus(int,plus_plus(int,one_one(int),pls),pls),plus_plus(int,plus_plus(int,one_one(int),pls),pls)))),m),one_one(int)))
      | ~ ord_less_eq(int,zero_zero(int),X0)
      | ~ zcong(s1,X0,plus_plus(int,times_times(int,number_number_of(int,plus_plus(int,plus_plus(int,plus_plus(int,plus_plus(int,one_one(int),pls),pls),plus_plus(int,plus_plus(int,one_one(int),pls),pls)),plus_plus(int,plus_plus(int,plus_plus(int,one_one(int),pls),pls),plus_plus(int,plus_plus(int,one_one(int),pls),pls)))),m),one_one(int))) ),
    inference(forward_demodulation,[],[f472,f342]) ).

tff(f560,plain,
    zcong(s1,sK0,plus_plus(int,plus_plus(int,times_times(int,number_number_of(int,plus_plus(int,plus_plus(int,plus_plus(int,one_one(int),pls),pls),plus_plus(int,plus_plus(int,one_one(int),pls),pls))),m),times_times(int,number_number_of(int,plus_plus(int,plus_plus(int,plus_plus(int,one_one(int),pls),pls),plus_plus(int,plus_plus(int,one_one(int),pls),pls))),m)),one_one(int))),
    inference(forward_demodulation,[],[f522,f340]) ).

tff(f561,plain,
    ord_less(int,sK0,plus_plus(int,plus_plus(int,times_times(int,number_number_of(int,plus_plus(int,plus_plus(int,plus_plus(int,one_one(int),pls),pls),plus_plus(int,plus_plus(int,one_one(int),pls),pls))),m),times_times(int,number_number_of(int,plus_plus(int,plus_plus(int,plus_plus(int,one_one(int),pls),pls),plus_plus(int,plus_plus(int,one_one(int),pls),pls))),m)),one_one(int))),
    inference(forward_demodulation,[],[f523,f340]) ).

tff(f562,plain,
    ! [X0: int] :
      ( ~ ord_less(int,X0,plus_plus(int,plus_plus(int,times_times(int,number_number_of(int,plus_plus(int,plus_plus(int,plus_plus(int,one_one(int),pls),pls),plus_plus(int,plus_plus(int,one_one(int),pls),pls))),m),times_times(int,number_number_of(int,plus_plus(int,plus_plus(int,plus_plus(int,one_one(int),pls),pls),plus_plus(int,plus_plus(int,one_one(int),pls),pls))),m)),one_one(int)))
      | ~ ord_less_eq(int,zero_zero(int),X0)
      | ~ zcong(s1,X0,plus_plus(int,times_times(int,number_number_of(int,plus_plus(int,plus_plus(int,plus_plus(int,plus_plus(int,one_one(int),pls),pls),plus_plus(int,plus_plus(int,one_one(int),pls),pls)),plus_plus(int,plus_plus(int,plus_plus(int,one_one(int),pls),pls),plus_plus(int,plus_plus(int,one_one(int),pls),pls)))),m),one_one(int))) ),
    inference(forward_demodulation,[],[f524,f340]) ).

tff(f566,plain,
    zcong(s1,sK0,plus_plus(int,plus_plus(int,times_times(int,plus_plus(int,number_number_of(int,plus_plus(int,plus_plus(int,one_one(int),pls),pls)),number_number_of(int,plus_plus(int,plus_plus(int,one_one(int),pls),pls))),m),times_times(int,plus_plus(int,number_number_of(int,plus_plus(int,plus_plus(int,one_one(int),pls),pls)),number_number_of(int,plus_plus(int,plus_plus(int,one_one(int),pls),pls))),m)),one_one(int))),
    inference(forward_demodulation,[],[f560,f342]) ).

tff(f567,plain,
    ord_less(int,sK0,plus_plus(int,plus_plus(int,times_times(int,plus_plus(int,number_number_of(int,plus_plus(int,plus_plus(int,one_one(int),pls),pls)),number_number_of(int,plus_plus(int,plus_plus(int,one_one(int),pls),pls))),m),times_times(int,plus_plus(int,number_number_of(int,plus_plus(int,plus_plus(int,one_one(int),pls),pls)),number_number_of(int,plus_plus(int,plus_plus(int,one_one(int),pls),pls))),m)),one_one(int))),
    inference(forward_demodulation,[],[f561,f342]) ).

tff(f568,plain,
    ! [X0: int] :
      ( ~ ord_less(int,X0,plus_plus(int,plus_plus(int,times_times(int,plus_plus(int,number_number_of(int,plus_plus(int,plus_plus(int,one_one(int),pls),pls)),number_number_of(int,plus_plus(int,plus_plus(int,one_one(int),pls),pls))),m),times_times(int,plus_plus(int,number_number_of(int,plus_plus(int,plus_plus(int,one_one(int),pls),pls)),number_number_of(int,plus_plus(int,plus_plus(int,one_one(int),pls),pls))),m)),one_one(int)))
      | ~ ord_less_eq(int,zero_zero(int),X0)
      | ~ zcong(s1,X0,plus_plus(int,times_times(int,number_number_of(int,plus_plus(int,plus_plus(int,plus_plus(int,plus_plus(int,one_one(int),pls),pls),plus_plus(int,plus_plus(int,one_one(int),pls),pls)),plus_plus(int,plus_plus(int,plus_plus(int,one_one(int),pls),pls),plus_plus(int,plus_plus(int,one_one(int),pls),pls)))),m),one_one(int))) ),
    inference(forward_demodulation,[],[f562,f342]) ).

tff(f572,plain,
    zcong(s1,sK0,plus_plus(int,plus_plus(int,plus_plus(int,times_times(int,number_number_of(int,plus_plus(int,plus_plus(int,one_one(int),pls),pls)),m),times_times(int,number_number_of(int,plus_plus(int,plus_plus(int,one_one(int),pls),pls)),m)),plus_plus(int,times_times(int,number_number_of(int,plus_plus(int,plus_plus(int,one_one(int),pls),pls)),m),times_times(int,number_number_of(int,plus_plus(int,plus_plus(int,one_one(int),pls),pls)),m))),one_one(int))),
    inference(forward_demodulation,[],[f566,f340]) ).

tff(f573,plain,
    ord_less(int,sK0,plus_plus(int,plus_plus(int,plus_plus(int,times_times(int,number_number_of(int,plus_plus(int,plus_plus(int,one_one(int),pls),pls)),m),times_times(int,number_number_of(int,plus_plus(int,plus_plus(int,one_one(int),pls),pls)),m)),plus_plus(int,times_times(int,number_number_of(int,plus_plus(int,plus_plus(int,one_one(int),pls),pls)),m),times_times(int,number_number_of(int,plus_plus(int,plus_plus(int,one_one(int),pls),pls)),m))),one_one(int))),
    inference(forward_demodulation,[],[f567,f340]) ).

tff(f574,plain,
    ! [X0: int] :
      ( ~ ord_less(int,X0,plus_plus(int,plus_plus(int,plus_plus(int,times_times(int,number_number_of(int,plus_plus(int,plus_plus(int,one_one(int),pls),pls)),m),times_times(int,number_number_of(int,plus_plus(int,plus_plus(int,one_one(int),pls),pls)),m)),plus_plus(int,times_times(int,number_number_of(int,plus_plus(int,plus_plus(int,one_one(int),pls),pls)),m),times_times(int,number_number_of(int,plus_plus(int,plus_plus(int,one_one(int),pls),pls)),m))),one_one(int)))
      | ~ ord_less_eq(int,zero_zero(int),X0)
      | ~ zcong(s1,X0,plus_plus(int,times_times(int,number_number_of(int,plus_plus(int,plus_plus(int,plus_plus(int,plus_plus(int,one_one(int),pls),pls),plus_plus(int,plus_plus(int,one_one(int),pls),pls)),plus_plus(int,plus_plus(int,plus_plus(int,one_one(int),pls),pls),plus_plus(int,plus_plus(int,one_one(int),pls),pls)))),m),one_one(int))) ),
    inference(forward_demodulation,[],[f568,f340]) ).

tff(f577,plain,
    zcong(s1,sK0,plus_plus(int,plus_plus(int,plus_plus(int,times_times(int,plus_plus(int,number_number_of(int,plus_plus(int,one_one(int),pls)),number_number_of(int,pls)),m),times_times(int,plus_plus(int,number_number_of(int,plus_plus(int,one_one(int),pls)),number_number_of(int,pls)),m)),plus_plus(int,times_times(int,plus_plus(int,number_number_of(int,plus_plus(int,one_one(int),pls)),number_number_of(int,pls)),m),times_times(int,plus_plus(int,number_number_of(int,plus_plus(int,one_one(int),pls)),number_number_of(int,pls)),m))),one_one(int))),
    inference(forward_demodulation,[],[f572,f342]) ).

tff(f578,plain,
    ord_less(int,sK0,plus_plus(int,plus_plus(int,plus_plus(int,times_times(int,plus_plus(int,number_number_of(int,plus_plus(int,one_one(int),pls)),number_number_of(int,pls)),m),times_times(int,plus_plus(int,number_number_of(int,plus_plus(int,one_one(int),pls)),number_number_of(int,pls)),m)),plus_plus(int,times_times(int,plus_plus(int,number_number_of(int,plus_plus(int,one_one(int),pls)),number_number_of(int,pls)),m),times_times(int,plus_plus(int,number_number_of(int,plus_plus(int,one_one(int),pls)),number_number_of(int,pls)),m))),one_one(int))),
    inference(forward_demodulation,[],[f573,f342]) ).

tff(f579,plain,
    ! [X0: int] :
      ( ~ ord_less(int,X0,plus_plus(int,plus_plus(int,plus_plus(int,times_times(int,plus_plus(int,number_number_of(int,plus_plus(int,one_one(int),pls)),number_number_of(int,pls)),m),times_times(int,plus_plus(int,number_number_of(int,plus_plus(int,one_one(int),pls)),number_number_of(int,pls)),m)),plus_plus(int,times_times(int,plus_plus(int,number_number_of(int,plus_plus(int,one_one(int),pls)),number_number_of(int,pls)),m),times_times(int,plus_plus(int,number_number_of(int,plus_plus(int,one_one(int),pls)),number_number_of(int,pls)),m))),one_one(int)))
      | ~ ord_less_eq(int,zero_zero(int),X0)
      | ~ zcong(s1,X0,plus_plus(int,times_times(int,number_number_of(int,plus_plus(int,plus_plus(int,plus_plus(int,plus_plus(int,one_one(int),pls),pls),plus_plus(int,plus_plus(int,one_one(int),pls),pls)),plus_plus(int,plus_plus(int,plus_plus(int,one_one(int),pls),pls),plus_plus(int,plus_plus(int,one_one(int),pls),pls)))),m),one_one(int))) ),
    inference(forward_demodulation,[],[f574,f342]) ).

tff(f582,plain,
    zcong(s1,sK0,plus_plus(int,plus_plus(int,plus_plus(int,plus_plus(int,times_times(int,number_number_of(int,plus_plus(int,one_one(int),pls)),m),times_times(int,number_number_of(int,pls),m)),plus_plus(int,times_times(int,number_number_of(int,plus_plus(int,one_one(int),pls)),m),times_times(int,number_number_of(int,pls),m))),plus_plus(int,plus_plus(int,times_times(int,number_number_of(int,plus_plus(int,one_one(int),pls)),m),times_times(int,number_number_of(int,pls),m)),plus_plus(int,times_times(int,number_number_of(int,plus_plus(int,one_one(int),pls)),m),times_times(int,number_number_of(int,pls),m)))),one_one(int))),
    inference(forward_demodulation,[],[f577,f340]) ).

tff(f583,plain,
    ord_less(int,sK0,plus_plus(int,plus_plus(int,plus_plus(int,plus_plus(int,times_times(int,number_number_of(int,plus_plus(int,one_one(int),pls)),m),times_times(int,number_number_of(int,pls),m)),plus_plus(int,times_times(int,number_number_of(int,plus_plus(int,one_one(int),pls)),m),times_times(int,number_number_of(int,pls),m))),plus_plus(int,plus_plus(int,times_times(int,number_number_of(int,plus_plus(int,one_one(int),pls)),m),times_times(int,number_number_of(int,pls),m)),plus_plus(int,times_times(int,number_number_of(int,plus_plus(int,one_one(int),pls)),m),times_times(int,number_number_of(int,pls),m)))),one_one(int))),
    inference(forward_demodulation,[],[f578,f340]) ).

tff(f584,plain,
    ! [X0: int] :
      ( ~ ord_less(int,X0,plus_plus(int,plus_plus(int,plus_plus(int,plus_plus(int,times_times(int,number_number_of(int,plus_plus(int,one_one(int),pls)),m),times_times(int,number_number_of(int,pls),m)),plus_plus(int,times_times(int,number_number_of(int,plus_plus(int,one_one(int),pls)),m),times_times(int,number_number_of(int,pls),m))),plus_plus(int,plus_plus(int,times_times(int,number_number_of(int,plus_plus(int,one_one(int),pls)),m),times_times(int,number_number_of(int,pls),m)),plus_plus(int,times_times(int,number_number_of(int,plus_plus(int,one_one(int),pls)),m),times_times(int,number_number_of(int,pls),m)))),one_one(int)))
      | ~ ord_less_eq(int,zero_zero(int),X0)
      | ~ zcong(s1,X0,plus_plus(int,times_times(int,number_number_of(int,plus_plus(int,plus_plus(int,plus_plus(int,plus_plus(int,one_one(int),pls),pls),plus_plus(int,plus_plus(int,one_one(int),pls),pls)),plus_plus(int,plus_plus(int,plus_plus(int,one_one(int),pls),pls),plus_plus(int,plus_plus(int,one_one(int),pls),pls)))),m),one_one(int))) ),
    inference(forward_demodulation,[],[f579,f340]) ).

tff(f587,plain,
    zcong(s1,sK0,plus_plus(int,plus_plus(int,plus_plus(int,plus_plus(int,times_times(int,number_number_of(int,plus_plus(int,one_one(int),pls)),m),times_times(int,zero_zero(int),m)),plus_plus(int,times_times(int,number_number_of(int,plus_plus(int,one_one(int),pls)),m),times_times(int,zero_zero(int),m))),plus_plus(int,plus_plus(int,times_times(int,number_number_of(int,plus_plus(int,one_one(int),pls)),m),times_times(int,zero_zero(int),m)),plus_plus(int,times_times(int,number_number_of(int,plus_plus(int,one_one(int),pls)),m),times_times(int,zero_zero(int),m)))),one_one(int))),
    inference(forward_demodulation,[],[f582,f361]) ).

tff(f588,plain,
    ord_less(int,sK0,plus_plus(int,plus_plus(int,plus_plus(int,plus_plus(int,times_times(int,number_number_of(int,plus_plus(int,one_one(int),pls)),m),times_times(int,zero_zero(int),m)),plus_plus(int,times_times(int,number_number_of(int,plus_plus(int,one_one(int),pls)),m),times_times(int,zero_zero(int),m))),plus_plus(int,plus_plus(int,times_times(int,number_number_of(int,plus_plus(int,one_one(int),pls)),m),times_times(int,zero_zero(int),m)),plus_plus(int,times_times(int,number_number_of(int,plus_plus(int,one_one(int),pls)),m),times_times(int,zero_zero(int),m)))),one_one(int))),
    inference(forward_demodulation,[],[f583,f361]) ).

tff(f589,plain,
    ! [X0: int] :
      ( ~ ord_less(int,X0,plus_plus(int,plus_plus(int,plus_plus(int,plus_plus(int,times_times(int,number_number_of(int,plus_plus(int,one_one(int),pls)),m),times_times(int,zero_zero(int),m)),plus_plus(int,times_times(int,number_number_of(int,plus_plus(int,one_one(int),pls)),m),times_times(int,zero_zero(int),m))),plus_plus(int,plus_plus(int,times_times(int,number_number_of(int,plus_plus(int,one_one(int),pls)),m),times_times(int,zero_zero(int),m)),plus_plus(int,times_times(int,number_number_of(int,plus_plus(int,one_one(int),pls)),m),times_times(int,zero_zero(int),m)))),one_one(int)))
      | ~ ord_less_eq(int,zero_zero(int),X0)
      | ~ zcong(s1,X0,plus_plus(int,times_times(int,number_number_of(int,plus_plus(int,plus_plus(int,plus_plus(int,plus_plus(int,one_one(int),pls),pls),plus_plus(int,plus_plus(int,one_one(int),pls),pls)),plus_plus(int,plus_plus(int,plus_plus(int,one_one(int),pls),pls),plus_plus(int,plus_plus(int,one_one(int),pls),pls)))),m),one_one(int))) ),
    inference(forward_demodulation,[],[f584,f361]) ).

tff(f592,plain,
    zcong(s1,sK0,plus_plus(int,plus_plus(int,plus_plus(int,plus_plus(int,times_times(int,number_number_of(int,plus_plus(int,one_one(int),pls)),m),zero_zero(int)),plus_plus(int,times_times(int,number_number_of(int,plus_plus(int,one_one(int),pls)),m),zero_zero(int))),plus_plus(int,plus_plus(int,times_times(int,number_number_of(int,plus_plus(int,one_one(int),pls)),m),zero_zero(int)),plus_plus(int,times_times(int,number_number_of(int,plus_plus(int,one_one(int),pls)),m),zero_zero(int)))),one_one(int))),
    inference(forward_demodulation,[],[f587,f492]) ).

tff(f593,plain,
    ord_less(int,sK0,plus_plus(int,plus_plus(int,plus_plus(int,plus_plus(int,times_times(int,number_number_of(int,plus_plus(int,one_one(int),pls)),m),zero_zero(int)),plus_plus(int,times_times(int,number_number_of(int,plus_plus(int,one_one(int),pls)),m),zero_zero(int))),plus_plus(int,plus_plus(int,times_times(int,number_number_of(int,plus_plus(int,one_one(int),pls)),m),zero_zero(int)),plus_plus(int,times_times(int,number_number_of(int,plus_plus(int,one_one(int),pls)),m),zero_zero(int)))),one_one(int))),
    inference(forward_demodulation,[],[f588,f492]) ).

tff(f594,plain,
    ! [X0: int] :
      ( ~ ord_less(int,X0,plus_plus(int,plus_plus(int,plus_plus(int,plus_plus(int,times_times(int,number_number_of(int,plus_plus(int,one_one(int),pls)),m),zero_zero(int)),plus_plus(int,times_times(int,number_number_of(int,plus_plus(int,one_one(int),pls)),m),zero_zero(int))),plus_plus(int,plus_plus(int,times_times(int,number_number_of(int,plus_plus(int,one_one(int),pls)),m),zero_zero(int)),plus_plus(int,times_times(int,number_number_of(int,plus_plus(int,one_one(int),pls)),m),zero_zero(int)))),one_one(int)))
      | ~ ord_less_eq(int,zero_zero(int),X0)
      | ~ zcong(s1,X0,plus_plus(int,times_times(int,number_number_of(int,plus_plus(int,plus_plus(int,plus_plus(int,plus_plus(int,one_one(int),pls),pls),plus_plus(int,plus_plus(int,one_one(int),pls),pls)),plus_plus(int,plus_plus(int,plus_plus(int,one_one(int),pls),pls),plus_plus(int,plus_plus(int,one_one(int),pls),pls)))),m),one_one(int))) ),
    inference(forward_demodulation,[],[f589,f492]) ).

tff(f597,plain,
    zcong(s1,sK0,plus_plus(int,plus_plus(int,plus_plus(int,plus_plus(int,times_times(int,plus_plus(int,number_number_of(int,one_one(int)),number_number_of(int,pls)),m),zero_zero(int)),plus_plus(int,times_times(int,plus_plus(int,number_number_of(int,one_one(int)),number_number_of(int,pls)),m),zero_zero(int))),plus_plus(int,plus_plus(int,times_times(int,plus_plus(int,number_number_of(int,one_one(int)),number_number_of(int,pls)),m),zero_zero(int)),plus_plus(int,times_times(int,plus_plus(int,number_number_of(int,one_one(int)),number_number_of(int,pls)),m),zero_zero(int)))),one_one(int))),
    inference(forward_demodulation,[],[f592,f342]) ).

tff(f598,plain,
    ord_less(int,sK0,plus_plus(int,plus_plus(int,plus_plus(int,plus_plus(int,times_times(int,plus_plus(int,number_number_of(int,one_one(int)),number_number_of(int,pls)),m),zero_zero(int)),plus_plus(int,times_times(int,plus_plus(int,number_number_of(int,one_one(int)),number_number_of(int,pls)),m),zero_zero(int))),plus_plus(int,plus_plus(int,times_times(int,plus_plus(int,number_number_of(int,one_one(int)),number_number_of(int,pls)),m),zero_zero(int)),plus_plus(int,times_times(int,plus_plus(int,number_number_of(int,one_one(int)),number_number_of(int,pls)),m),zero_zero(int)))),one_one(int))),
    inference(forward_demodulation,[],[f593,f342]) ).

tff(f599,plain,
    ! [X0: int] :
      ( ~ ord_less(int,X0,plus_plus(int,plus_plus(int,plus_plus(int,plus_plus(int,times_times(int,plus_plus(int,number_number_of(int,one_one(int)),number_number_of(int,pls)),m),zero_zero(int)),plus_plus(int,times_times(int,plus_plus(int,number_number_of(int,one_one(int)),number_number_of(int,pls)),m),zero_zero(int))),plus_plus(int,plus_plus(int,times_times(int,plus_plus(int,number_number_of(int,one_one(int)),number_number_of(int,pls)),m),zero_zero(int)),plus_plus(int,times_times(int,plus_plus(int,number_number_of(int,one_one(int)),number_number_of(int,pls)),m),zero_zero(int)))),one_one(int)))
      | ~ ord_less_eq(int,zero_zero(int),X0)
      | ~ zcong(s1,X0,plus_plus(int,times_times(int,number_number_of(int,plus_plus(int,plus_plus(int,plus_plus(int,plus_plus(int,one_one(int),pls),pls),plus_plus(int,plus_plus(int,one_one(int),pls),pls)),plus_plus(int,plus_plus(int,plus_plus(int,one_one(int),pls),pls),plus_plus(int,plus_plus(int,one_one(int),pls),pls)))),m),one_one(int))) ),
    inference(forward_demodulation,[],[f594,f342]) ).

tff(f602,plain,
    zcong(s1,sK0,plus_plus(int,plus_plus(int,plus_plus(int,plus_plus(int,plus_plus(int,times_times(int,number_number_of(int,one_one(int)),m),times_times(int,number_number_of(int,pls),m)),zero_zero(int)),plus_plus(int,plus_plus(int,times_times(int,number_number_of(int,one_one(int)),m),times_times(int,number_number_of(int,pls),m)),zero_zero(int))),plus_plus(int,plus_plus(int,plus_plus(int,times_times(int,number_number_of(int,one_one(int)),m),times_times(int,number_number_of(int,pls),m)),zero_zero(int)),plus_plus(int,plus_plus(int,times_times(int,number_number_of(int,one_one(int)),m),times_times(int,number_number_of(int,pls),m)),zero_zero(int)))),one_one(int))),
    inference(forward_demodulation,[],[f597,f340]) ).

tff(f603,plain,
    ord_less(int,sK0,plus_plus(int,plus_plus(int,plus_plus(int,plus_plus(int,plus_plus(int,times_times(int,number_number_of(int,one_one(int)),m),times_times(int,number_number_of(int,pls),m)),zero_zero(int)),plus_plus(int,plus_plus(int,times_times(int,number_number_of(int,one_one(int)),m),times_times(int,number_number_of(int,pls),m)),zero_zero(int))),plus_plus(int,plus_plus(int,plus_plus(int,times_times(int,number_number_of(int,one_one(int)),m),times_times(int,number_number_of(int,pls),m)),zero_zero(int)),plus_plus(int,plus_plus(int,times_times(int,number_number_of(int,one_one(int)),m),times_times(int,number_number_of(int,pls),m)),zero_zero(int)))),one_one(int))),
    inference(forward_demodulation,[],[f598,f340]) ).

tff(f604,plain,
    ! [X0: int] :
      ( ~ ord_less(int,X0,plus_plus(int,plus_plus(int,plus_plus(int,plus_plus(int,plus_plus(int,times_times(int,number_number_of(int,one_one(int)),m),times_times(int,number_number_of(int,pls),m)),zero_zero(int)),plus_plus(int,plus_plus(int,times_times(int,number_number_of(int,one_one(int)),m),times_times(int,number_number_of(int,pls),m)),zero_zero(int))),plus_plus(int,plus_plus(int,plus_plus(int,times_times(int,number_number_of(int,one_one(int)),m),times_times(int,number_number_of(int,pls),m)),zero_zero(int)),plus_plus(int,plus_plus(int,times_times(int,number_number_of(int,one_one(int)),m),times_times(int,number_number_of(int,pls),m)),zero_zero(int)))),one_one(int)))
      | ~ ord_less_eq(int,zero_zero(int),X0)
      | ~ zcong(s1,X0,plus_plus(int,times_times(int,number_number_of(int,plus_plus(int,plus_plus(int,plus_plus(int,plus_plus(int,one_one(int),pls),pls),plus_plus(int,plus_plus(int,one_one(int),pls),pls)),plus_plus(int,plus_plus(int,plus_plus(int,one_one(int),pls),pls),plus_plus(int,plus_plus(int,one_one(int),pls),pls)))),m),one_one(int))) ),
    inference(forward_demodulation,[],[f599,f340]) ).

tff(f607,plain,
    zcong(s1,sK0,plus_plus(int,plus_plus(int,plus_plus(int,plus_plus(int,plus_plus(int,times_times(int,number_number_of(int,one_one(int)),m),times_times(int,zero_zero(int),m)),zero_zero(int)),plus_plus(int,plus_plus(int,times_times(int,number_number_of(int,one_one(int)),m),times_times(int,zero_zero(int),m)),zero_zero(int))),plus_plus(int,plus_plus(int,plus_plus(int,times_times(int,number_number_of(int,one_one(int)),m),times_times(int,zero_zero(int),m)),zero_zero(int)),plus_plus(int,plus_plus(int,times_times(int,number_number_of(int,one_one(int)),m),times_times(int,zero_zero(int),m)),zero_zero(int)))),one_one(int))),
    inference(forward_demodulation,[],[f602,f361]) ).

tff(f608,plain,
    ord_less(int,sK0,plus_plus(int,plus_plus(int,plus_plus(int,plus_plus(int,plus_plus(int,times_times(int,number_number_of(int,one_one(int)),m),times_times(int,zero_zero(int),m)),zero_zero(int)),plus_plus(int,plus_plus(int,times_times(int,number_number_of(int,one_one(int)),m),times_times(int,zero_zero(int),m)),zero_zero(int))),plus_plus(int,plus_plus(int,plus_plus(int,times_times(int,number_number_of(int,one_one(int)),m),times_times(int,zero_zero(int),m)),zero_zero(int)),plus_plus(int,plus_plus(int,times_times(int,number_number_of(int,one_one(int)),m),times_times(int,zero_zero(int),m)),zero_zero(int)))),one_one(int))),
    inference(forward_demodulation,[],[f603,f361]) ).

tff(f609,plain,
    ! [X0: int] :
      ( ~ ord_less(int,X0,plus_plus(int,plus_plus(int,plus_plus(int,plus_plus(int,plus_plus(int,times_times(int,number_number_of(int,one_one(int)),m),times_times(int,zero_zero(int),m)),zero_zero(int)),plus_plus(int,plus_plus(int,times_times(int,number_number_of(int,one_one(int)),m),times_times(int,zero_zero(int),m)),zero_zero(int))),plus_plus(int,plus_plus(int,plus_plus(int,times_times(int,number_number_of(int,one_one(int)),m),times_times(int,zero_zero(int),m)),zero_zero(int)),plus_plus(int,plus_plus(int,times_times(int,number_number_of(int,one_one(int)),m),times_times(int,zero_zero(int),m)),zero_zero(int)))),one_one(int)))
      | ~ ord_less_eq(int,zero_zero(int),X0)
      | ~ zcong(s1,X0,plus_plus(int,times_times(int,number_number_of(int,plus_plus(int,plus_plus(int,plus_plus(int,plus_plus(int,one_one(int),pls),pls),plus_plus(int,plus_plus(int,one_one(int),pls),pls)),plus_plus(int,plus_plus(int,plus_plus(int,one_one(int),pls),pls),plus_plus(int,plus_plus(int,one_one(int),pls),pls)))),m),one_one(int))) ),
    inference(forward_demodulation,[],[f604,f361]) ).

tff(f612,plain,
    zcong(s1,sK0,plus_plus(int,plus_plus(int,plus_plus(int,plus_plus(int,plus_plus(int,times_times(int,number_number_of(int,one_one(int)),m),zero_zero(int)),zero_zero(int)),plus_plus(int,plus_plus(int,times_times(int,number_number_of(int,one_one(int)),m),zero_zero(int)),zero_zero(int))),plus_plus(int,plus_plus(int,plus_plus(int,times_times(int,number_number_of(int,one_one(int)),m),zero_zero(int)),zero_zero(int)),plus_plus(int,plus_plus(int,times_times(int,number_number_of(int,one_one(int)),m),zero_zero(int)),zero_zero(int)))),one_one(int))),
    inference(forward_demodulation,[],[f607,f492]) ).

tff(f613,plain,
    ord_less(int,sK0,plus_plus(int,plus_plus(int,plus_plus(int,plus_plus(int,plus_plus(int,times_times(int,number_number_of(int,one_one(int)),m),zero_zero(int)),zero_zero(int)),plus_plus(int,plus_plus(int,times_times(int,number_number_of(int,one_one(int)),m),zero_zero(int)),zero_zero(int))),plus_plus(int,plus_plus(int,plus_plus(int,times_times(int,number_number_of(int,one_one(int)),m),zero_zero(int)),zero_zero(int)),plus_plus(int,plus_plus(int,times_times(int,number_number_of(int,one_one(int)),m),zero_zero(int)),zero_zero(int)))),one_one(int))),
    inference(forward_demodulation,[],[f608,f492]) ).

tff(f614,plain,
    ! [X0: int] :
      ( ~ ord_less(int,X0,plus_plus(int,plus_plus(int,plus_plus(int,plus_plus(int,plus_plus(int,times_times(int,number_number_of(int,one_one(int)),m),zero_zero(int)),zero_zero(int)),plus_plus(int,plus_plus(int,times_times(int,number_number_of(int,one_one(int)),m),zero_zero(int)),zero_zero(int))),plus_plus(int,plus_plus(int,plus_plus(int,times_times(int,number_number_of(int,one_one(int)),m),zero_zero(int)),zero_zero(int)),plus_plus(int,plus_plus(int,times_times(int,number_number_of(int,one_one(int)),m),zero_zero(int)),zero_zero(int)))),one_one(int)))
      | ~ ord_less_eq(int,zero_zero(int),X0)
      | ~ zcong(s1,X0,plus_plus(int,times_times(int,number_number_of(int,plus_plus(int,plus_plus(int,plus_plus(int,plus_plus(int,one_one(int),pls),pls),plus_plus(int,plus_plus(int,one_one(int),pls),pls)),plus_plus(int,plus_plus(int,plus_plus(int,one_one(int),pls),pls),plus_plus(int,plus_plus(int,one_one(int),pls),pls)))),m),one_one(int))) ),
    inference(forward_demodulation,[],[f609,f492]) ).

tff(f617,plain,
    zcong(s1,sK0,plus_plus(int,plus_plus(int,plus_plus(int,plus_plus(int,plus_plus(int,times_times(int,one_one(int),m),zero_zero(int)),zero_zero(int)),plus_plus(int,plus_plus(int,times_times(int,one_one(int),m),zero_zero(int)),zero_zero(int))),plus_plus(int,plus_plus(int,plus_plus(int,times_times(int,one_one(int),m),zero_zero(int)),zero_zero(int)),plus_plus(int,plus_plus(int,times_times(int,one_one(int),m),zero_zero(int)),zero_zero(int)))),one_one(int))),
    inference(forward_demodulation,[],[f612,f319]) ).

tff(f618,plain,
    ord_less(int,sK0,plus_plus(int,plus_plus(int,plus_plus(int,plus_plus(int,plus_plus(int,times_times(int,one_one(int),m),zero_zero(int)),zero_zero(int)),plus_plus(int,plus_plus(int,times_times(int,one_one(int),m),zero_zero(int)),zero_zero(int))),plus_plus(int,plus_plus(int,plus_plus(int,times_times(int,one_one(int),m),zero_zero(int)),zero_zero(int)),plus_plus(int,plus_plus(int,times_times(int,one_one(int),m),zero_zero(int)),zero_zero(int)))),one_one(int))),
    inference(forward_demodulation,[],[f613,f319]) ).

tff(f619,plain,
    ! [X0: int] :
      ( ~ ord_less(int,X0,plus_plus(int,plus_plus(int,plus_plus(int,plus_plus(int,plus_plus(int,times_times(int,one_one(int),m),zero_zero(int)),zero_zero(int)),plus_plus(int,plus_plus(int,times_times(int,one_one(int),m),zero_zero(int)),zero_zero(int))),plus_plus(int,plus_plus(int,plus_plus(int,times_times(int,one_one(int),m),zero_zero(int)),zero_zero(int)),plus_plus(int,plus_plus(int,times_times(int,one_one(int),m),zero_zero(int)),zero_zero(int)))),one_one(int)))
      | ~ ord_less_eq(int,zero_zero(int),X0)
      | ~ zcong(s1,X0,plus_plus(int,times_times(int,number_number_of(int,plus_plus(int,plus_plus(int,plus_plus(int,plus_plus(int,one_one(int),pls),pls),plus_plus(int,plus_plus(int,one_one(int),pls),pls)),plus_plus(int,plus_plus(int,plus_plus(int,one_one(int),pls),pls),plus_plus(int,plus_plus(int,one_one(int),pls),pls)))),m),one_one(int))) ),
    inference(forward_demodulation,[],[f614,f319]) ).

tff(f621,plain,
    ! [X0: int] :
      ( ~ zcong(s1,X0,plus_plus(int,times_times(int,plus_plus(int,number_number_of(int,plus_plus(int,plus_plus(int,plus_plus(int,one_one(int),pls),pls),plus_plus(int,plus_plus(int,one_one(int),pls),pls))),number_number_of(int,plus_plus(int,plus_plus(int,plus_plus(int,one_one(int),pls),pls),plus_plus(int,plus_plus(int,one_one(int),pls),pls)))),m),one_one(int)))
      | ~ ord_less(int,X0,plus_plus(int,plus_plus(int,plus_plus(int,plus_plus(int,plus_plus(int,times_times(int,one_one(int),m),zero_zero(int)),zero_zero(int)),plus_plus(int,plus_plus(int,times_times(int,one_one(int),m),zero_zero(int)),zero_zero(int))),plus_plus(int,plus_plus(int,plus_plus(int,times_times(int,one_one(int),m),zero_zero(int)),zero_zero(int)),plus_plus(int,plus_plus(int,times_times(int,one_one(int),m),zero_zero(int)),zero_zero(int)))),one_one(int)))
      | ~ ord_less_eq(int,zero_zero(int),X0) ),
    inference(forward_demodulation,[],[f619,f342]) ).

tff(f623,plain,
    ! [X0: int] :
      ( ~ zcong(s1,X0,plus_plus(int,plus_plus(int,times_times(int,number_number_of(int,plus_plus(int,plus_plus(int,plus_plus(int,one_one(int),pls),pls),plus_plus(int,plus_plus(int,one_one(int),pls),pls))),m),times_times(int,number_number_of(int,plus_plus(int,plus_plus(int,plus_plus(int,one_one(int),pls),pls),plus_plus(int,plus_plus(int,one_one(int),pls),pls))),m)),one_one(int)))
      | ~ ord_less(int,X0,plus_plus(int,plus_plus(int,plus_plus(int,plus_plus(int,plus_plus(int,times_times(int,one_one(int),m),zero_zero(int)),zero_zero(int)),plus_plus(int,plus_plus(int,times_times(int,one_one(int),m),zero_zero(int)),zero_zero(int))),plus_plus(int,plus_plus(int,plus_plus(int,times_times(int,one_one(int),m),zero_zero(int)),zero_zero(int)),plus_plus(int,plus_plus(int,times_times(int,one_one(int),m),zero_zero(int)),zero_zero(int)))),one_one(int)))
      | ~ ord_less_eq(int,zero_zero(int),X0) ),
    inference(forward_demodulation,[],[f621,f340]) ).

tff(f625,plain,
    ! [X0: int] :
      ( ~ zcong(s1,X0,plus_plus(int,plus_plus(int,times_times(int,plus_plus(int,number_number_of(int,plus_plus(int,plus_plus(int,one_one(int),pls),pls)),number_number_of(int,plus_plus(int,plus_plus(int,one_one(int),pls),pls))),m),times_times(int,plus_plus(int,number_number_of(int,plus_plus(int,plus_plus(int,one_one(int),pls),pls)),number_number_of(int,plus_plus(int,plus_plus(int,one_one(int),pls),pls))),m)),one_one(int)))
      | ~ ord_less(int,X0,plus_plus(int,plus_plus(int,plus_plus(int,plus_plus(int,plus_plus(int,times_times(int,one_one(int),m),zero_zero(int)),zero_zero(int)),plus_plus(int,plus_plus(int,times_times(int,one_one(int),m),zero_zero(int)),zero_zero(int))),plus_plus(int,plus_plus(int,plus_plus(int,times_times(int,one_one(int),m),zero_zero(int)),zero_zero(int)),plus_plus(int,plus_plus(int,times_times(int,one_one(int),m),zero_zero(int)),zero_zero(int)))),one_one(int)))
      | ~ ord_less_eq(int,zero_zero(int),X0) ),
    inference(forward_demodulation,[],[f623,f342]) ).

tff(f627,plain,
    ! [X0: int] :
      ( ~ zcong(s1,X0,plus_plus(int,plus_plus(int,plus_plus(int,times_times(int,number_number_of(int,plus_plus(int,plus_plus(int,one_one(int),pls),pls)),m),times_times(int,number_number_of(int,plus_plus(int,plus_plus(int,one_one(int),pls),pls)),m)),plus_plus(int,times_times(int,number_number_of(int,plus_plus(int,plus_plus(int,one_one(int),pls),pls)),m),times_times(int,number_number_of(int,plus_plus(int,plus_plus(int,one_one(int),pls),pls)),m))),one_one(int)))
      | ~ ord_less(int,X0,plus_plus(int,plus_plus(int,plus_plus(int,plus_plus(int,plus_plus(int,times_times(int,one_one(int),m),zero_zero(int)),zero_zero(int)),plus_plus(int,plus_plus(int,times_times(int,one_one(int),m),zero_zero(int)),zero_zero(int))),plus_plus(int,plus_plus(int,plus_plus(int,times_times(int,one_one(int),m),zero_zero(int)),zero_zero(int)),plus_plus(int,plus_plus(int,times_times(int,one_one(int),m),zero_zero(int)),zero_zero(int)))),one_one(int)))
      | ~ ord_less_eq(int,zero_zero(int),X0) ),
    inference(forward_demodulation,[],[f625,f340]) ).

tff(f629,plain,
    ! [X0: int] :
      ( ~ zcong(s1,X0,plus_plus(int,plus_plus(int,plus_plus(int,times_times(int,plus_plus(int,number_number_of(int,plus_plus(int,one_one(int),pls)),number_number_of(int,pls)),m),times_times(int,plus_plus(int,number_number_of(int,plus_plus(int,one_one(int),pls)),number_number_of(int,pls)),m)),plus_plus(int,times_times(int,plus_plus(int,number_number_of(int,plus_plus(int,one_one(int),pls)),number_number_of(int,pls)),m),times_times(int,plus_plus(int,number_number_of(int,plus_plus(int,one_one(int),pls)),number_number_of(int,pls)),m))),one_one(int)))
      | ~ ord_less(int,X0,plus_plus(int,plus_plus(int,plus_plus(int,plus_plus(int,plus_plus(int,times_times(int,one_one(int),m),zero_zero(int)),zero_zero(int)),plus_plus(int,plus_plus(int,times_times(int,one_one(int),m),zero_zero(int)),zero_zero(int))),plus_plus(int,plus_plus(int,plus_plus(int,times_times(int,one_one(int),m),zero_zero(int)),zero_zero(int)),plus_plus(int,plus_plus(int,times_times(int,one_one(int),m),zero_zero(int)),zero_zero(int)))),one_one(int)))
      | ~ ord_less_eq(int,zero_zero(int),X0) ),
    inference(forward_demodulation,[],[f627,f342]) ).

tff(f631,plain,
    ! [X0: int] :
      ( ~ zcong(s1,X0,plus_plus(int,plus_plus(int,plus_plus(int,plus_plus(int,times_times(int,number_number_of(int,plus_plus(int,one_one(int),pls)),m),times_times(int,number_number_of(int,pls),m)),plus_plus(int,times_times(int,number_number_of(int,plus_plus(int,one_one(int),pls)),m),times_times(int,number_number_of(int,pls),m))),plus_plus(int,plus_plus(int,times_times(int,number_number_of(int,plus_plus(int,one_one(int),pls)),m),times_times(int,number_number_of(int,pls),m)),plus_plus(int,times_times(int,number_number_of(int,plus_plus(int,one_one(int),pls)),m),times_times(int,number_number_of(int,pls),m)))),one_one(int)))
      | ~ ord_less(int,X0,plus_plus(int,plus_plus(int,plus_plus(int,plus_plus(int,plus_plus(int,times_times(int,one_one(int),m),zero_zero(int)),zero_zero(int)),plus_plus(int,plus_plus(int,times_times(int,one_one(int),m),zero_zero(int)),zero_zero(int))),plus_plus(int,plus_plus(int,plus_plus(int,times_times(int,one_one(int),m),zero_zero(int)),zero_zero(int)),plus_plus(int,plus_plus(int,times_times(int,one_one(int),m),zero_zero(int)),zero_zero(int)))),one_one(int)))
      | ~ ord_less_eq(int,zero_zero(int),X0) ),
    inference(forward_demodulation,[],[f629,f340]) ).

tff(f633,plain,
    ! [X0: int] :
      ( ~ zcong(s1,X0,plus_plus(int,plus_plus(int,plus_plus(int,plus_plus(int,times_times(int,number_number_of(int,plus_plus(int,one_one(int),pls)),m),times_times(int,zero_zero(int),m)),plus_plus(int,times_times(int,number_number_of(int,plus_plus(int,one_one(int),pls)),m),times_times(int,zero_zero(int),m))),plus_plus(int,plus_plus(int,times_times(int,number_number_of(int,plus_plus(int,one_one(int),pls)),m),times_times(int,zero_zero(int),m)),plus_plus(int,times_times(int,number_number_of(int,plus_plus(int,one_one(int),pls)),m),times_times(int,zero_zero(int),m)))),one_one(int)))
      | ~ ord_less(int,X0,plus_plus(int,plus_plus(int,plus_plus(int,plus_plus(int,plus_plus(int,times_times(int,one_one(int),m),zero_zero(int)),zero_zero(int)),plus_plus(int,plus_plus(int,times_times(int,one_one(int),m),zero_zero(int)),zero_zero(int))),plus_plus(int,plus_plus(int,plus_plus(int,times_times(int,one_one(int),m),zero_zero(int)),zero_zero(int)),plus_plus(int,plus_plus(int,times_times(int,one_one(int),m),zero_zero(int)),zero_zero(int)))),one_one(int)))
      | ~ ord_less_eq(int,zero_zero(int),X0) ),
    inference(forward_demodulation,[],[f631,f361]) ).

tff(f635,plain,
    ! [X0: int] :
      ( ~ zcong(s1,X0,plus_plus(int,plus_plus(int,plus_plus(int,plus_plus(int,times_times(int,number_number_of(int,plus_plus(int,one_one(int),pls)),m),zero_zero(int)),plus_plus(int,times_times(int,number_number_of(int,plus_plus(int,one_one(int),pls)),m),zero_zero(int))),plus_plus(int,plus_plus(int,times_times(int,number_number_of(int,plus_plus(int,one_one(int),pls)),m),zero_zero(int)),plus_plus(int,times_times(int,number_number_of(int,plus_plus(int,one_one(int),pls)),m),zero_zero(int)))),one_one(int)))
      | ~ ord_less(int,X0,plus_plus(int,plus_plus(int,plus_plus(int,plus_plus(int,plus_plus(int,times_times(int,one_one(int),m),zero_zero(int)),zero_zero(int)),plus_plus(int,plus_plus(int,times_times(int,one_one(int),m),zero_zero(int)),zero_zero(int))),plus_plus(int,plus_plus(int,plus_plus(int,times_times(int,one_one(int),m),zero_zero(int)),zero_zero(int)),plus_plus(int,plus_plus(int,times_times(int,one_one(int),m),zero_zero(int)),zero_zero(int)))),one_one(int)))
      | ~ ord_less_eq(int,zero_zero(int),X0) ),
    inference(forward_demodulation,[],[f633,f492]) ).

tff(f637,plain,
    ! [X0: int] :
      ( ~ zcong(s1,X0,plus_plus(int,plus_plus(int,plus_plus(int,plus_plus(int,times_times(int,plus_plus(int,number_number_of(int,one_one(int)),number_number_of(int,pls)),m),zero_zero(int)),plus_plus(int,times_times(int,plus_plus(int,number_number_of(int,one_one(int)),number_number_of(int,pls)),m),zero_zero(int))),plus_plus(int,plus_plus(int,times_times(int,plus_plus(int,number_number_of(int,one_one(int)),number_number_of(int,pls)),m),zero_zero(int)),plus_plus(int,times_times(int,plus_plus(int,number_number_of(int,one_one(int)),number_number_of(int,pls)),m),zero_zero(int)))),one_one(int)))
      | ~ ord_less(int,X0,plus_plus(int,plus_plus(int,plus_plus(int,plus_plus(int,plus_plus(int,times_times(int,one_one(int),m),zero_zero(int)),zero_zero(int)),plus_plus(int,plus_plus(int,times_times(int,one_one(int),m),zero_zero(int)),zero_zero(int))),plus_plus(int,plus_plus(int,plus_plus(int,times_times(int,one_one(int),m),zero_zero(int)),zero_zero(int)),plus_plus(int,plus_plus(int,times_times(int,one_one(int),m),zero_zero(int)),zero_zero(int)))),one_one(int)))
      | ~ ord_less_eq(int,zero_zero(int),X0) ),
    inference(forward_demodulation,[],[f635,f342]) ).

tff(f639,plain,
    ! [X0: int] :
      ( ~ zcong(s1,X0,plus_plus(int,plus_plus(int,plus_plus(int,plus_plus(int,plus_plus(int,times_times(int,number_number_of(int,one_one(int)),m),times_times(int,number_number_of(int,pls),m)),zero_zero(int)),plus_plus(int,plus_plus(int,times_times(int,number_number_of(int,one_one(int)),m),times_times(int,number_number_of(int,pls),m)),zero_zero(int))),plus_plus(int,plus_plus(int,plus_plus(int,times_times(int,number_number_of(int,one_one(int)),m),times_times(int,number_number_of(int,pls),m)),zero_zero(int)),plus_plus(int,plus_plus(int,times_times(int,number_number_of(int,one_one(int)),m),times_times(int,number_number_of(int,pls),m)),zero_zero(int)))),one_one(int)))
      | ~ ord_less(int,X0,plus_plus(int,plus_plus(int,plus_plus(int,plus_plus(int,plus_plus(int,times_times(int,one_one(int),m),zero_zero(int)),zero_zero(int)),plus_plus(int,plus_plus(int,times_times(int,one_one(int),m),zero_zero(int)),zero_zero(int))),plus_plus(int,plus_plus(int,plus_plus(int,times_times(int,one_one(int),m),zero_zero(int)),zero_zero(int)),plus_plus(int,plus_plus(int,times_times(int,one_one(int),m),zero_zero(int)),zero_zero(int)))),one_one(int)))
      | ~ ord_less_eq(int,zero_zero(int),X0) ),
    inference(forward_demodulation,[],[f637,f340]) ).

tff(f641,plain,
    ! [X0: int] :
      ( ~ zcong(s1,X0,plus_plus(int,plus_plus(int,plus_plus(int,plus_plus(int,plus_plus(int,times_times(int,number_number_of(int,one_one(int)),m),times_times(int,zero_zero(int),m)),zero_zero(int)),plus_plus(int,plus_plus(int,times_times(int,number_number_of(int,one_one(int)),m),times_times(int,zero_zero(int),m)),zero_zero(int))),plus_plus(int,plus_plus(int,plus_plus(int,times_times(int,number_number_of(int,one_one(int)),m),times_times(int,zero_zero(int),m)),zero_zero(int)),plus_plus(int,plus_plus(int,times_times(int,number_number_of(int,one_one(int)),m),times_times(int,zero_zero(int),m)),zero_zero(int)))),one_one(int)))
      | ~ ord_less(int,X0,plus_plus(int,plus_plus(int,plus_plus(int,plus_plus(int,plus_plus(int,times_times(int,one_one(int),m),zero_zero(int)),zero_zero(int)),plus_plus(int,plus_plus(int,times_times(int,one_one(int),m),zero_zero(int)),zero_zero(int))),plus_plus(int,plus_plus(int,plus_plus(int,times_times(int,one_one(int),m),zero_zero(int)),zero_zero(int)),plus_plus(int,plus_plus(int,times_times(int,one_one(int),m),zero_zero(int)),zero_zero(int)))),one_one(int)))
      | ~ ord_less_eq(int,zero_zero(int),X0) ),
    inference(forward_demodulation,[],[f639,f361]) ).

tff(f643,plain,
    ! [X0: int] :
      ( ~ zcong(s1,X0,plus_plus(int,plus_plus(int,plus_plus(int,plus_plus(int,plus_plus(int,times_times(int,number_number_of(int,one_one(int)),m),zero_zero(int)),zero_zero(int)),plus_plus(int,plus_plus(int,times_times(int,number_number_of(int,one_one(int)),m),zero_zero(int)),zero_zero(int))),plus_plus(int,plus_plus(int,plus_plus(int,times_times(int,number_number_of(int,one_one(int)),m),zero_zero(int)),zero_zero(int)),plus_plus(int,plus_plus(int,times_times(int,number_number_of(int,one_one(int)),m),zero_zero(int)),zero_zero(int)))),one_one(int)))
      | ~ ord_less(int,X0,plus_plus(int,plus_plus(int,plus_plus(int,plus_plus(int,plus_plus(int,times_times(int,one_one(int),m),zero_zero(int)),zero_zero(int)),plus_plus(int,plus_plus(int,times_times(int,one_one(int),m),zero_zero(int)),zero_zero(int))),plus_plus(int,plus_plus(int,plus_plus(int,times_times(int,one_one(int),m),zero_zero(int)),zero_zero(int)),plus_plus(int,plus_plus(int,times_times(int,one_one(int),m),zero_zero(int)),zero_zero(int)))),one_one(int)))
      | ~ ord_less_eq(int,zero_zero(int),X0) ),
    inference(forward_demodulation,[],[f641,f492]) ).

tff(f645,plain,
    ! [X0: int] :
      ( ~ ord_less_eq(int,zero_zero(int),X0)
      | ~ ord_less(int,X0,plus_plus(int,plus_plus(int,plus_plus(int,plus_plus(int,plus_plus(int,times_times(int,one_one(int),m),zero_zero(int)),zero_zero(int)),plus_plus(int,plus_plus(int,times_times(int,one_one(int),m),zero_zero(int)),zero_zero(int))),plus_plus(int,plus_plus(int,plus_plus(int,times_times(int,one_one(int),m),zero_zero(int)),zero_zero(int)),plus_plus(int,plus_plus(int,times_times(int,one_one(int),m),zero_zero(int)),zero_zero(int)))),one_one(int)))
      | ~ zcong(s1,X0,plus_plus(int,plus_plus(int,plus_plus(int,plus_plus(int,plus_plus(int,times_times(int,one_one(int),m),zero_zero(int)),zero_zero(int)),plus_plus(int,plus_plus(int,times_times(int,one_one(int),m),zero_zero(int)),zero_zero(int))),plus_plus(int,plus_plus(int,plus_plus(int,times_times(int,one_one(int),m),zero_zero(int)),zero_zero(int)),plus_plus(int,plus_plus(int,times_times(int,one_one(int),m),zero_zero(int)),zero_zero(int)))),one_one(int))) ),
    inference(forward_demodulation,[],[f643,f319]) ).

tff(f961,plain,
    ( ~ ord_less(int,sK0,plus_plus(int,plus_plus(int,plus_plus(int,plus_plus(int,plus_plus(int,times_times(int,one_one(int),m),zero_zero(int)),zero_zero(int)),plus_plus(int,plus_plus(int,times_times(int,one_one(int),m),zero_zero(int)),zero_zero(int))),plus_plus(int,plus_plus(int,plus_plus(int,times_times(int,one_one(int),m),zero_zero(int)),zero_zero(int)),plus_plus(int,plus_plus(int,times_times(int,one_one(int),m),zero_zero(int)),zero_zero(int)))),one_one(int)))
    | ~ zcong(s1,sK0,plus_plus(int,plus_plus(int,plus_plus(int,plus_plus(int,plus_plus(int,times_times(int,one_one(int),m),zero_zero(int)),zero_zero(int)),plus_plus(int,plus_plus(int,times_times(int,one_one(int),m),zero_zero(int)),zero_zero(int))),plus_plus(int,plus_plus(int,plus_plus(int,times_times(int,one_one(int),m),zero_zero(int)),zero_zero(int)),plus_plus(int,plus_plus(int,times_times(int,one_one(int),m),zero_zero(int)),zero_zero(int)))),one_one(int))) ),
    inference(resolution,[],[f645,f225]) ).

tff(f968,plain,
    ~ zcong(s1,sK0,plus_plus(int,plus_plus(int,plus_plus(int,plus_plus(int,plus_plus(int,times_times(int,one_one(int),m),zero_zero(int)),zero_zero(int)),plus_plus(int,plus_plus(int,times_times(int,one_one(int),m),zero_zero(int)),zero_zero(int))),plus_plus(int,plus_plus(int,plus_plus(int,times_times(int,one_one(int),m),zero_zero(int)),zero_zero(int)),plus_plus(int,plus_plus(int,times_times(int,one_one(int),m),zero_zero(int)),zero_zero(int)))),one_one(int))),
    inference(forward_subsumption_resolution,[],[f961,f618]) ).

tff(f977,plain,
    $false,
    inference(forward_subsumption_resolution,[],[f968,f617]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : NUM948_5 : TPTP v9.3.1. Released v6.0.0.
% 0.00/0.05  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.11/0.39  % Computer : n014.cluster.edu
% 0.11/0.39  % Model    : x86_64 x86_64
% 0.11/0.39  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.39  % Memory   : 8046.5625MB
% 0.11/0.39  % OS       : Linux 6.8.0-71-generic
% 0.11/0.39  % CPULimit : 300
% 0.11/0.39  % WCLimit  : 300
% 0.11/0.39  % DateTime : Sun Sep 27 21:47:32 UTC 2026
% 0.11/0.39  % CPUTime  : 
% 0.11/0.39  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.11/0.43  Running first-order model finding
% 0.11/0.43  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
% 0.18/0.49  % (1199141)Will run a generic schedule for satisfiability detection.
% 0.18/0.49  % (1199146)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3627835201_2999 on theBenchmark for (2999ds/0Mi)
% 0.18/0.49  % Exception at run slice level
% 0.18/0.49  User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 0.18/0.49  % (1199147)% WARNING: option uhcvi not known.
% 0.18/0.49  % (1199151)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=635592104:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.18/0.49  % (1199147)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2186383080:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.18/0.49  % (1199148)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=892322567:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.18/0.49  % (1199149)dis+10_1_sil=32000:sp=arity:random_seed=3622059800:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.18/0.49  % (1199150)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1127174157:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.18/0.49  % (1199152)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2098963491:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.18/0.49  % (1199154)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=1860683300:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 0.18/0.49  % Exception at run slice level
% 0.18/0.49  User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 0.18/0.49  % (1199151) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1199141-1199151"...
% 0.18/0.49  % (1199151)...printing done.
% 0.18/0.49  % (1199151)Refutation found. Thanks to Tanya!
% 0.18/0.49  % SZS status Theorem for theBenchmark
% 0.18/0.49  % SZS output start Proof for theBenchmark
% See solution above
% 0.18/0.49  % (1199151)------------------------------
% 0.18/0.49  % (1199151)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.18/0.49  % (1199151)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.18/0.49  % (1199151)CaDiCaL version: 2.1.3
% 0.18/0.49  % (1199151)Termination reason: Refutation
% 0.18/0.49  % (1199151)Time elapsed: 0.018 s
% 0.18/0.49  % (1199151)Peak memory usage: 12 MB
% 0.18/0.49  % (1199151)Instructions burned: 32 (million)
% 0.18/0.49  % (1199141)Success in time 0.056 s
% 0.18/0.49  % Vampire exiting
%------------------------------------------------------------------------------