TSTP Solution File: NUM924+7 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : NUM924+7 : TPTP v8.1.0. Released v5.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s

% Computer : n010.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Wed Aug 31 18:07:17 EDT 2022

% Result   : Theorem 13.16s 2.13s
% Output   : Refutation 13.16s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   44
%            Number of leaves      :   40
% Syntax   : Number of formulae    :  245 ( 237 unt;   0 def)
%            Number of atoms       :  253 ( 191 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   17 (   9   ~;   4   |;   0   &)
%                                         (   0 <=>;   4  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   1 avg)
%            Maximal term depth    :   23 (   3 avg)
%            Number of predicates  :    5 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :   38 (  38 usr;  24 con; 0-4 aty)
%            Number of variables   :   97 (  97   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f10175,plain,
    $false,
    inference(resolution,[],[f10067,f6331]) ).

fof(f6331,plain,
    ~ hBOOL(sF64),
    inference(definition_folding,[],[f6071,f6330,f6329,f6328,f6327,f6317,f6326,f6325,f6324,f6323,f6321,f6320,f6319,f6318,f6317,f6322,f6321,f6320,f6319,f6318,f6317,f6316,f6315,f6314]) ).

fof(f6314,plain,
    fun(int,bool) = sF48,
    introduced(function_definition,[]) ).

fof(f6315,plain,
    ord_less(int) = sF49,
    introduced(function_definition,[]) ).

fof(f6316,plain,
    power_power(int,s) = sF50,
    introduced(function_definition,[]) ).

fof(f6322,plain,
    sF56 = plus_plus(int,sF55),
    introduced(function_definition,[]) ).

fof(f6318,plain,
    sF52 = plus_plus(int,sF51),
    introduced(function_definition,[]) ).

fof(f6319,plain,
    sF53 = hAPP(int,int,sF52,pls),
    introduced(function_definition,[]) ).

fof(f6320,plain,
    plus_plus(int,sF53) = sF54,
    introduced(function_definition,[]) ).

fof(f6321,plain,
    hAPP(int,int,sF54,pls) = sF55,
    introduced(function_definition,[]) ).

fof(f6323,plain,
    hAPP(int,int,sF56,sF55) = sF57,
    introduced(function_definition,[]) ).

fof(f6324,plain,
    number_number_of(nat,sF57) = sF58,
    introduced(function_definition,[]) ).

fof(f6325,plain,
    hAPP(nat,int,sF50,sF58) = sF59,
    introduced(function_definition,[]) ).

fof(f6326,plain,
    sF60 = plus_plus(int,sF59),
    introduced(function_definition,[]) ).

fof(f6317,plain,
    one_one(int) = sF51,
    introduced(function_definition,[]) ).

fof(f6327,plain,
    hAPP(int,int,sF60,sF51) = sF61,
    introduced(function_definition,[]) ).

fof(f6328,plain,
    hAPP(int,sF48,sF49,sF61) = sF62,
    introduced(function_definition,[]) ).

fof(f6329,plain,
    zero_zero(int) = sF63,
    introduced(function_definition,[]) ).

fof(f6330,plain,
    hAPP(int,bool,sF62,sF63) = sF64,
    introduced(function_definition,[]) ).

fof(f6071,plain,
    ~ hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),hAPP(int,int,plus_plus(int,hAPP(nat,int,power_power(int,s),number_number_of(nat,hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,one_one(int)),pls)),pls)),hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,one_one(int)),pls)),pls))))),one_one(int))),zero_zero(int))),
    inference(definition_unfolding,[],[f5057,f4262,f5490]) ).

fof(f5490,plain,
    ! [X0] : hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,one_one(int)),X0)),X0) = bit1(X0),
    inference(cnf_transformation,[],[f1555]) ).

fof(f1555,plain,
    ! [X0] : hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,one_one(int)),X0)),X0) = bit1(X0),
    inference(rectify,[],[f262]) ).

fof(f262,axiom,
    ! [X14] : bit1(X14) = hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,one_one(int)),X14)),X14),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_164_Bit1__def) ).

fof(f4262,plain,
    ! [X0] : bit0(X0) = hAPP(int,int,plus_plus(int,X0),X0),
    inference(cnf_transformation,[],[f1768]) ).

fof(f1768,plain,
    ! [X0] : bit0(X0) = hAPP(int,int,plus_plus(int,X0),X0),
    inference(rectify,[],[f230]) ).

fof(f230,axiom,
    ! [X14] : bit0(X14) = hAPP(int,int,plus_plus(int,X14),X14),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_132_Bit0__def) ).

fof(f5057,plain,
    ~ hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),hAPP(int,int,plus_plus(int,hAPP(nat,int,power_power(int,s),number_number_of(nat,bit0(bit1(pls))))),one_one(int))),zero_zero(int))),
    inference(cnf_transformation,[],[f1783]) ).

fof(f1783,plain,
    ~ hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),hAPP(int,int,plus_plus(int,hAPP(nat,int,power_power(int,s),number_number_of(nat,bit0(bit1(pls))))),one_one(int))),zero_zero(int))),
    inference(flattening,[],[f1256]) ).

fof(f1256,negated_conjecture,
    ~ hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),hAPP(int,int,plus_plus(int,hAPP(nat,int,power_power(int,s),number_number_of(nat,bit0(bit1(pls))))),one_one(int))),zero_zero(int))),
    inference(negated_conjecture,[],[f1255]) ).

fof(f1255,conjecture,
    hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),hAPP(int,int,plus_plus(int,hAPP(nat,int,power_power(int,s),number_number_of(nat,bit0(bit1(pls))))),one_one(int))),zero_zero(int))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0) ).

fof(f10067,plain,
    hBOOL(sF64),
    inference(forward_demodulation,[],[f10066,f8778]) ).

fof(f8778,plain,
    hAPP(int,bool,sF62,pls) = sF64,
    inference(forward_demodulation,[],[f6330,f8712]) ).

fof(f8712,plain,
    pls = sF63,
    inference(forward_demodulation,[],[f6329,f5715]) ).

fof(f5715,plain,
    pls = zero_zero(int),
    inference(cnf_transformation,[],[f220]) ).

fof(f220,axiom,
    pls = zero_zero(int),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_122_Pls__def) ).

fof(f10066,plain,
    hBOOL(hAPP(int,bool,sF62,pls)),
    inference(forward_demodulation,[],[f10064,f7566]) ).

fof(f7566,plain,
    sF62 = hAPP(int,fun(int,bool),ord_less(int),sF61),
    inference(backward_demodulation,[],[f6717,f6314]) ).

fof(f6717,plain,
    hAPP(int,sF48,ord_less(int),sF61) = sF62,
    inference(backward_demodulation,[],[f6328,f6315]) ).

fof(f10064,plain,
    hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),sF61),pls)),
    inference(backward_demodulation,[],[f9141,f10063]) ).

fof(f10063,plain,
    twoSqu1929807760sum2sq(product_Pair(int,int,s,one_one(int))) = sF61,
    inference(forward_demodulation,[],[f10062,f8923]) ).

fof(f8923,plain,
    sF61 = hAPP(int,int,sF60,one_one(int)),
    inference(forward_demodulation,[],[f6327,f6317]) ).

fof(f10062,plain,
    twoSqu1929807760sum2sq(product_Pair(int,int,s,one_one(int))) = hAPP(int,int,sF60,one_one(int)),
    inference(forward_demodulation,[],[f10061,f6326]) ).

fof(f10061,plain,
    twoSqu1929807760sum2sq(product_Pair(int,int,s,one_one(int))) = hAPP(int,int,plus_plus(int,sF59),one_one(int)),
    inference(backward_demodulation,[],[f7258,f10057]) ).

fof(f10057,plain,
    sF59 = hAPP(nat,int,power_power(int,s),hAPP(nat,nat,plus_plus(nat,one_one(nat)),one_one(nat))),
    inference(backward_demodulation,[],[f9155,f10056]) ).

fof(f10056,plain,
    hAPP(nat,nat,plus_plus(nat,one_one(nat)),one_one(nat)) = number_number_of(nat,hAPP(int,int,plus_plus(int,one_one(int)),one_one(int))),
    inference(forward_demodulation,[],[f9960,f9719]) ).

fof(f9719,plain,
    one_one(int) = number_number_of(int,one_one(int)),
    inference(superposition,[],[f4437,f9710]) ).

fof(f9710,plain,
    one_one(int) = ti(int,one_one(int)),
    inference(resolution,[],[f5199,f4350]) ).

fof(f4350,plain,
    one(int),
    inference(cnf_transformation,[],[f1150]) ).

fof(f1150,axiom,
    one(int),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_Int_Oint___Groups_Oone) ).

fof(f5199,plain,
    ! [X0] :
      ( ~ one(X0)
      | one_one(X0) = ti(X0,one_one(X0)) ),
    inference(cnf_transformation,[],[f2622]) ).

fof(f2622,plain,
    ! [X0] :
      ( ~ one(X0)
      | one_one(X0) = ti(X0,one_one(X0)) ),
    inference(ennf_transformation,[],[f1749]) ).

fof(f1749,plain,
    ! [X0] :
      ( one(X0)
     => one_one(X0) = ti(X0,one_one(X0)) ),
    inference(rectify,[],[f16]) ).

fof(f16,axiom,
    ! [X2] :
      ( one(X2)
     => one_one(X2) = ti(X2,one_one(X2)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tsy_c_Groups_Oone__class_Oone_res) ).

fof(f4437,plain,
    ! [X0] : number_number_of(int,X0) = ti(int,X0),
    inference(cnf_transformation,[],[f1435]) ).

fof(f1435,plain,
    ! [X0] : number_number_of(int,X0) = ti(int,X0),
    inference(rectify,[],[f120]) ).

fof(f120,axiom,
    ! [X14] : number_number_of(int,X14) = ti(int,X14),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_22_number__of__is__id) ).

fof(f9960,plain,
    hAPP(nat,nat,plus_plus(nat,one_one(nat)),one_one(nat)) = number_number_of(nat,hAPP(int,int,plus_plus(int,one_one(int)),number_number_of(int,one_one(int)))),
    inference(backward_demodulation,[],[f9807,f9919]) ).

fof(f9919,plain,
    ! [X0,X1] : number_number_of(int,hAPP(int,int,plus_plus(int,X0),X1)) = hAPP(int,int,plus_plus(int,X0),number_number_of(int,X1)),
    inference(backward_demodulation,[],[f5227,f9918]) ).

fof(f9918,plain,
    ! [X1] : plus_plus(int,number_number_of(int,X1)) = plus_plus(int,X1),
    inference(forward_demodulation,[],[f9916,f4437]) ).

fof(f9916,plain,
    ! [X1] : plus_plus(int,ti(int,X1)) = plus_plus(int,X1),
    inference(resolution,[],[f4461,f5325]) ).

fof(f5325,plain,
    cancel_semigroup_add(int),
    inference(cnf_transformation,[],[f1111]) ).

fof(f1111,axiom,
    cancel_semigroup_add(int),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_Int_Oint___Groups_Ocancel__semigroup__add) ).

fof(f4461,plain,
    ! [X0,X1] :
      ( ~ cancel_semigroup_add(X0)
      | plus_plus(X0,ti(X0,X1)) = plus_plus(X0,X1) ),
    inference(cnf_transformation,[],[f3125]) ).

fof(f3125,plain,
    ! [X0,X1] :
      ( ~ cancel_semigroup_add(X0)
      | plus_plus(X0,ti(X0,X1)) = plus_plus(X0,X1) ),
    inference(ennf_transformation,[],[f1412]) ).

fof(f1412,plain,
    ! [X1,X0] :
      ( cancel_semigroup_add(X0)
     => plus_plus(X0,ti(X0,X1)) = plus_plus(X0,X1) ),
    inference(rectify,[],[f21]) ).

fof(f21,axiom,
    ! [X2,X3] :
      ( cancel_semigroup_add(X2)
     => plus_plus(X2,ti(X2,X3)) = plus_plus(X2,X3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tsy_c_Groups_Oplus__class_Oplus_2_arg1) ).

fof(f5227,plain,
    ! [X0,X1] : hAPP(int,int,plus_plus(int,number_number_of(int,X0)),number_number_of(int,X1)) = number_number_of(int,hAPP(int,int,plus_plus(int,X0),X1)),
    inference(cnf_transformation,[],[f2188]) ).

fof(f2188,plain,
    ! [X0,X1] : hAPP(int,int,plus_plus(int,number_number_of(int,X0)),number_number_of(int,X1)) = number_number_of(int,hAPP(int,int,plus_plus(int,X0),X1)),
    inference(rectify,[],[f165]) ).

fof(f165,axiom,
    ! [X12,X11] : hAPP(int,int,plus_plus(int,number_number_of(int,X12)),number_number_of(int,X11)) = number_number_of(int,hAPP(int,int,plus_plus(int,X12),X11)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_67_plus__numeral__code_I9_J) ).

fof(f9807,plain,
    hAPP(nat,nat,plus_plus(nat,one_one(nat)),one_one(nat)) = number_number_of(nat,number_number_of(int,hAPP(int,int,plus_plus(int,one_one(int)),one_one(int)))),
    inference(backward_demodulation,[],[f9696,f9719]) ).

fof(f9696,plain,
    hAPP(nat,nat,plus_plus(nat,one_one(nat)),one_one(nat)) = number_number_of(nat,number_number_of(int,hAPP(int,int,plus_plus(int,one_one(int)),number_number_of(int,one_one(int))))),
    inference(forward_demodulation,[],[f9400,f9362]) ).

fof(f9362,plain,
    ! [X2] : number_number_of(int,X2) = number_number_of(int,number_number_of(int,X2)),
    inference(forward_demodulation,[],[f9359,f4437]) ).

fof(f9359,plain,
    ! [X2] : number_number_of(int,ti(int,X2)) = ti(int,X2),
    inference(superposition,[],[f4437,f4993]) ).

fof(f4993,plain,
    ! [X0,X1] : ti(X0,X1) = ti(X0,ti(X0,X1)),
    inference(cnf_transformation,[],[f1771]) ).

fof(f1771,plain,
    ! [X0,X1] : ti(X0,X1) = ti(X0,ti(X0,X1)),
    inference(rectify,[],[f1248]) ).

fof(f1248,axiom,
    ! [X97,X98] : ti(X97,X98) = ti(X97,ti(X97,X98)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',help_ti_idem) ).

fof(f9400,plain,
    hAPP(nat,nat,plus_plus(nat,one_one(nat)),one_one(nat)) = number_number_of(nat,number_number_of(int,number_number_of(int,hAPP(int,int,plus_plus(int,one_one(int)),number_number_of(int,one_one(int)))))),
    inference(backward_demodulation,[],[f7412,f9362]) ).

fof(f7412,plain,
    hAPP(nat,nat,plus_plus(nat,one_one(nat)),one_one(nat)) = number_number_of(nat,number_number_of(int,number_number_of(int,number_number_of(int,hAPP(int,int,plus_plus(int,one_one(int)),number_number_of(int,one_one(int))))))),
    inference(forward_demodulation,[],[f7411,f7293]) ).

fof(f7293,plain,
    ! [X0] : number_number_of(int,X0) = hAPP(int,int,plus_plus(int,pls),X0),
    inference(forward_demodulation,[],[f7292,f5715]) ).

fof(f7292,plain,
    ! [X0] : hAPP(int,int,plus_plus(int,zero_zero(int)),X0) = number_number_of(int,X0),
    inference(forward_demodulation,[],[f5096,f4437]) ).

fof(f5096,plain,
    ! [X0] : hAPP(int,int,plus_plus(int,zero_zero(int)),X0) = ti(int,X0),
    inference(cnf_transformation,[],[f1580]) ).

fof(f1580,plain,
    ! [X0] : hAPP(int,int,plus_plus(int,zero_zero(int)),X0) = ti(int,X0),
    inference(rectify,[],[f232]) ).

fof(f232,axiom,
    ! [X15] : ti(int,X15) = hAPP(int,int,plus_plus(int,zero_zero(int)),X15),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_134_zadd__0) ).

fof(f7411,plain,
    hAPP(nat,nat,plus_plus(nat,one_one(nat)),one_one(nat)) = number_number_of(nat,number_number_of(int,number_number_of(int,hAPP(int,int,plus_plus(int,pls),hAPP(int,int,plus_plus(int,one_one(int)),number_number_of(int,one_one(int))))))),
    inference(forward_demodulation,[],[f7311,f7293]) ).

fof(f7311,plain,
    hAPP(nat,nat,plus_plus(nat,one_one(nat)),one_one(nat)) = number_number_of(nat,number_number_of(int,hAPP(int,int,plus_plus(int,pls),hAPP(int,int,plus_plus(int,pls),hAPP(int,int,plus_plus(int,one_one(int)),number_number_of(int,one_one(int))))))),
    inference(backward_demodulation,[],[f7097,f7293]) ).

fof(f7097,plain,
    hAPP(nat,nat,plus_plus(nat,one_one(nat)),one_one(nat)) = number_number_of(nat,hAPP(int,int,plus_plus(int,pls),hAPP(int,int,plus_plus(int,pls),hAPP(int,int,plus_plus(int,pls),hAPP(int,int,plus_plus(int,one_one(int)),number_number_of(int,one_one(int))))))),
    inference(forward_demodulation,[],[f7096,f6839]) ).

fof(f6839,plain,
    ! [X0] : number_number_of(int,X0) = hAPP(int,int,plus_plus(int,X0),pls),
    inference(backward_demodulation,[],[f6597,f4437]) ).

fof(f6597,plain,
    ! [X0] : ti(int,X0) = hAPP(int,int,plus_plus(int,X0),pls),
    inference(forward_demodulation,[],[f4938,f5715]) ).

fof(f4938,plain,
    ! [X0] : hAPP(int,int,plus_plus(int,X0),zero_zero(int)) = ti(int,X0),
    inference(cnf_transformation,[],[f1846]) ).

fof(f1846,plain,
    ! [X0] : hAPP(int,int,plus_plus(int,X0),zero_zero(int)) = ti(int,X0),
    inference(rectify,[],[f231]) ).

fof(f231,axiom,
    ! [X15] : ti(int,X15) = hAPP(int,int,plus_plus(int,X15),zero_zero(int)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_133_zadd__0__right) ).

fof(f7096,plain,
    hAPP(nat,nat,plus_plus(nat,one_one(nat)),one_one(nat)) = number_number_of(nat,hAPP(int,int,plus_plus(int,pls),hAPP(int,int,plus_plus(int,pls),hAPP(int,int,plus_plus(int,pls),hAPP(int,int,plus_plus(int,one_one(int)),hAPP(int,int,plus_plus(int,one_one(int)),pls)))))),
    inference(forward_demodulation,[],[f7095,f4888]) ).

fof(f4888,plain,
    ! [X2,X0,X1] : hAPP(int,int,plus_plus(int,X1),hAPP(int,int,plus_plus(int,X2),X0)) = hAPP(int,int,plus_plus(int,X2),hAPP(int,int,plus_plus(int,X1),X0)),
    inference(cnf_transformation,[],[f3665]) ).

fof(f3665,plain,
    ! [X0,X1,X2] : hAPP(int,int,plus_plus(int,X1),hAPP(int,int,plus_plus(int,X2),X0)) = hAPP(int,int,plus_plus(int,X2),hAPP(int,int,plus_plus(int,X1),X0)),
    inference(rectify,[],[f1926]) ).

fof(f1926,plain,
    ! [X2,X0,X1] : hAPP(int,int,plus_plus(int,X1),hAPP(int,int,plus_plus(int,X0),X2)) = hAPP(int,int,plus_plus(int,X0),hAPP(int,int,plus_plus(int,X1),X2)),
    inference(rectify,[],[f195]) ).

fof(f195,axiom,
    ! [X6,X5,X15] : hAPP(int,int,plus_plus(int,X5),hAPP(int,int,plus_plus(int,X6),X15)) = hAPP(int,int,plus_plus(int,X6),hAPP(int,int,plus_plus(int,X5),X15)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_97_zadd__left__commute) ).

fof(f7095,plain,
    hAPP(nat,nat,plus_plus(nat,one_one(nat)),one_one(nat)) = number_number_of(nat,hAPP(int,int,plus_plus(int,pls),hAPP(int,int,plus_plus(int,pls),hAPP(int,int,plus_plus(int,one_one(int)),hAPP(int,int,plus_plus(int,pls),hAPP(int,int,plus_plus(int,one_one(int)),pls)))))),
    inference(forward_demodulation,[],[f7094,f4888]) ).

fof(f7094,plain,
    hAPP(nat,nat,plus_plus(nat,one_one(nat)),one_one(nat)) = number_number_of(nat,hAPP(int,int,plus_plus(int,pls),hAPP(int,int,plus_plus(int,pls),hAPP(int,int,plus_plus(int,one_one(int)),hAPP(int,int,plus_plus(int,one_one(int)),hAPP(int,int,plus_plus(int,pls),pls)))))),
    inference(forward_demodulation,[],[f7093,f5803]) ).

fof(f5803,plain,
    ! [X2,X0,X1] : hAPP(int,int,plus_plus(int,X1),hAPP(int,int,plus_plus(int,X2),X0)) = hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,X1),X2)),X0),
    inference(cnf_transformation,[],[f4167]) ).

fof(f4167,plain,
    ! [X0,X1,X2] : hAPP(int,int,plus_plus(int,X1),hAPP(int,int,plus_plus(int,X2),X0)) = hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,X1),X2)),X0),
    inference(rectify,[],[f2204]) ).

fof(f2204,plain,
    ! [X1,X0,X2] : hAPP(int,int,plus_plus(int,X0),hAPP(int,int,plus_plus(int,X2),X1)) = hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,X0),X2)),X1),
    inference(rectify,[],[f194]) ).

fof(f194,axiom,
    ! [X18,X20,X19] : hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,X18),X19)),X20) = hAPP(int,int,plus_plus(int,X18),hAPP(int,int,plus_plus(int,X19),X20)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_96_zadd__assoc) ).

fof(f7093,plain,
    hAPP(nat,nat,plus_plus(nat,one_one(nat)),one_one(nat)) = number_number_of(nat,hAPP(int,int,plus_plus(int,pls),hAPP(int,int,plus_plus(int,pls),hAPP(int,int,plus_plus(int,one_one(int)),hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,one_one(int)),pls)),pls))))),
    inference(forward_demodulation,[],[f7092,f4888]) ).

fof(f7092,plain,
    hAPP(nat,nat,plus_plus(nat,one_one(nat)),one_one(nat)) = number_number_of(nat,hAPP(int,int,plus_plus(int,pls),hAPP(int,int,plus_plus(int,one_one(int)),hAPP(int,int,plus_plus(int,pls),hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,one_one(int)),pls)),pls))))),
    inference(forward_demodulation,[],[f7091,f4888]) ).

fof(f7091,plain,
    hAPP(nat,nat,plus_plus(nat,one_one(nat)),one_one(nat)) = number_number_of(nat,hAPP(int,int,plus_plus(int,one_one(int)),hAPP(int,int,plus_plus(int,pls),hAPP(int,int,plus_plus(int,pls),hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,one_one(int)),pls)),pls))))),
    inference(forward_demodulation,[],[f7090,f5803]) ).

fof(f7090,plain,
    hAPP(nat,nat,plus_plus(nat,one_one(nat)),one_one(nat)) = number_number_of(nat,hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,one_one(int)),pls)),hAPP(int,int,plus_plus(int,pls),hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,one_one(int)),pls)),pls)))),
    inference(forward_demodulation,[],[f6218,f5803]) ).

fof(f6218,plain,
    hAPP(nat,nat,plus_plus(nat,one_one(nat)),one_one(nat)) = number_number_of(nat,hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,one_one(int)),pls)),pls)),hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,one_one(int)),pls)),pls))),
    inference(definition_unfolding,[],[f5933,f4262,f5490]) ).

fof(f5933,plain,
    number_number_of(nat,bit0(bit1(pls))) = hAPP(nat,nat,plus_plus(nat,one_one(nat)),one_one(nat)),
    inference(cnf_transformation,[],[f159]) ).

fof(f159,axiom,
    number_number_of(nat,bit0(bit1(pls))) = hAPP(nat,nat,plus_plus(nat,one_one(nat)),one_one(nat)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_61_nat__1__add__1) ).

fof(f9155,plain,
    hAPP(nat,int,power_power(int,s),number_number_of(nat,hAPP(int,int,plus_plus(int,one_one(int)),one_one(int)))) = sF59,
    inference(backward_demodulation,[],[f8188,f9154]) ).

fof(f9154,plain,
    sF58 = number_number_of(nat,hAPP(int,int,plus_plus(int,one_one(int)),one_one(int))),
    inference(forward_demodulation,[],[f6324,f9147]) ).

fof(f9147,plain,
    sF57 = hAPP(int,int,plus_plus(int,one_one(int)),one_one(int)),
    inference(forward_demodulation,[],[f9146,f7480]) ).

fof(f7480,plain,
    ! [X0] : hAPP(int,int,plus_plus(int,number_number_of(int,X0)),number_number_of(int,X0)) = hAPP(int,int,plus_plus(int,X0),X0),
    inference(forward_demodulation,[],[f5971,f4437]) ).

fof(f5971,plain,
    ! [X0] : hAPP(int,int,plus_plus(int,X0),X0) = hAPP(int,int,plus_plus(int,ti(int,X0)),ti(int,X0)),
    inference(definition_unfolding,[],[f4399,f4262,f4262]) ).

fof(f4399,plain,
    ! [X0] : bit0(X0) = bit0(ti(int,X0)),
    inference(cnf_transformation,[],[f1466]) ).

fof(f1466,plain,
    ! [X0] : bit0(X0) = bit0(ti(int,X0)),
    inference(rectify,[],[f50]) ).

fof(f50,axiom,
    ! [X3] : bit0(ti(int,X3)) = bit0(X3),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tsy_c_Int_OBit0_arg1) ).

fof(f9146,plain,
    sF57 = hAPP(int,int,plus_plus(int,number_number_of(int,one_one(int))),number_number_of(int,one_one(int))),
    inference(forward_demodulation,[],[f9145,f7480]) ).

fof(f9145,plain,
    sF57 = hAPP(int,int,plus_plus(int,number_number_of(int,number_number_of(int,one_one(int)))),number_number_of(int,number_number_of(int,one_one(int)))),
    inference(backward_demodulation,[],[f8118,f9144]) ).

fof(f9144,plain,
    plus_plus(int,number_number_of(int,number_number_of(int,one_one(int)))) = sF56,
    inference(forward_demodulation,[],[f6322,f8117]) ).

fof(f8117,plain,
    number_number_of(int,number_number_of(int,one_one(int))) = sF55,
    inference(forward_demodulation,[],[f8116,f6839]) ).

fof(f8116,plain,
    hAPP(int,int,plus_plus(int,number_number_of(int,one_one(int))),pls) = sF55,
    inference(backward_demodulation,[],[f6321,f8115]) ).

fof(f8115,plain,
    plus_plus(int,number_number_of(int,one_one(int))) = sF54,
    inference(forward_demodulation,[],[f6320,f8035]) ).

fof(f8035,plain,
    sF53 = number_number_of(int,one_one(int)),
    inference(forward_demodulation,[],[f8034,f6839]) ).

fof(f8034,plain,
    sF53 = hAPP(int,int,plus_plus(int,one_one(int)),pls),
    inference(forward_demodulation,[],[f6319,f6744]) ).

fof(f6744,plain,
    plus_plus(int,one_one(int)) = sF52,
    inference(forward_demodulation,[],[f6318,f6317]) ).

fof(f8118,plain,
    sF57 = hAPP(int,int,sF56,number_number_of(int,number_number_of(int,one_one(int)))),
    inference(backward_demodulation,[],[f6323,f8117]) ).

fof(f8188,plain,
    hAPP(nat,int,power_power(int,s),sF58) = sF59,
    inference(backward_demodulation,[],[f6325,f6316]) ).

fof(f7258,plain,
    twoSqu1929807760sum2sq(product_Pair(int,int,s,one_one(int))) = hAPP(int,int,plus_plus(int,hAPP(nat,int,power_power(int,s),hAPP(nat,nat,plus_plus(nat,one_one(nat)),one_one(nat)))),one_one(int)),
    inference(backward_demodulation,[],[f7167,f7257]) ).

fof(f7257,plain,
    twoSqu1929807760sum2sq(product_Pair(int,int,s,one_one(int))) = hAPP(int,int,times_times(int,hAPP(int,int,plus_plus(int,hAPP(int,int,times_times(int,number_number_of(int,hAPP(int,int,plus_plus(int,pls),hAPP(int,int,plus_plus(int,pls),hAPP(int,int,plus_plus(int,pls),hAPP(int,int,plus_plus(int,pls),hAPP(int,int,plus_plus(int,pls),hAPP(int,int,plus_plus(int,pls),hAPP(int,int,plus_plus(int,pls),hAPP(int,int,plus_plus(int,one_one(int)),hAPP(int,int,plus_plus(int,one_one(int)),hAPP(int,int,plus_plus(int,one_one(int)),number_number_of(int,one_one(int)))))))))))))),m)),one_one(int))),t),
    inference(forward_demodulation,[],[f7256,f6839]) ).

fof(f7256,plain,
    twoSqu1929807760sum2sq(product_Pair(int,int,s,one_one(int))) = hAPP(int,int,times_times(int,hAPP(int,int,plus_plus(int,hAPP(int,int,times_times(int,number_number_of(int,hAPP(int,int,plus_plus(int,pls),hAPP(int,int,plus_plus(int,pls),hAPP(int,int,plus_plus(int,pls),hAPP(int,int,plus_plus(int,pls),hAPP(int,int,plus_plus(int,pls),hAPP(int,int,plus_plus(int,pls),hAPP(int,int,plus_plus(int,pls),hAPP(int,int,plus_plus(int,one_one(int)),hAPP(int,int,plus_plus(int,one_one(int)),hAPP(int,int,plus_plus(int,one_one(int)),hAPP(int,int,plus_plus(int,one_one(int)),pls))))))))))))),m)),one_one(int))),t),
    inference(forward_demodulation,[],[f7255,f4888]) ).

fof(f7255,plain,
    twoSqu1929807760sum2sq(product_Pair(int,int,s,one_one(int))) = hAPP(int,int,times_times(int,hAPP(int,int,plus_plus(int,hAPP(int,int,times_times(int,number_number_of(int,hAPP(int,int,plus_plus(int,pls),hAPP(int,int,plus_plus(int,pls),hAPP(int,int,plus_plus(int,pls),hAPP(int,int,plus_plus(int,pls),hAPP(int,int,plus_plus(int,pls),hAPP(int,int,plus_plus(int,pls),hAPP(int,int,plus_plus(int,one_one(int)),hAPP(int,int,plus_plus(int,pls),hAPP(int,int,plus_plus(int,one_one(int)),hAPP(int,int,plus_plus(int,one_one(int)),hAPP(int,int,plus_plus(int,one_one(int)),pls))))))))))))),m)),one_one(int))),t),
    inference(forward_demodulation,[],[f7254,f4888]) ).

fof(f7254,plain,
    twoSqu1929807760sum2sq(product_Pair(int,int,s,one_one(int))) = hAPP(int,int,times_times(int,hAPP(int,int,plus_plus(int,hAPP(int,int,times_times(int,number_number_of(int,hAPP(int,int,plus_plus(int,pls),hAPP(int,int,plus_plus(int,pls),hAPP(int,int,plus_plus(int,pls),hAPP(int,int,plus_plus(int,pls),hAPP(int,int,plus_plus(int,pls),hAPP(int,int,plus_plus(int,pls),hAPP(int,int,plus_plus(int,one_one(int)),hAPP(int,int,plus_plus(int,one_one(int)),hAPP(int,int,plus_plus(int,pls),hAPP(int,int,plus_plus(int,one_one(int)),hAPP(int,int,plus_plus(int,one_one(int)),pls))))))))))))),m)),one_one(int))),t),
    inference(forward_demodulation,[],[f7253,f4888]) ).

fof(f7253,plain,
    twoSqu1929807760sum2sq(product_Pair(int,int,s,one_one(int))) = hAPP(int,int,times_times(int,hAPP(int,int,plus_plus(int,hAPP(int,int,times_times(int,number_number_of(int,hAPP(int,int,plus_plus(int,pls),hAPP(int,int,plus_plus(int,pls),hAPP(int,int,plus_plus(int,pls),hAPP(int,int,plus_plus(int,pls),hAPP(int,int,plus_plus(int,pls),hAPP(int,int,plus_plus(int,pls),hAPP(int,int,plus_plus(int,one_one(int)),hAPP(int,int,plus_plus(int,one_one(int)),hAPP(int,int,plus_plus(int,one_one(int)),hAPP(int,int,plus_plus(int,pls),hAPP(int,int,plus_plus(int,one_one(int)),pls))))))))))))),m)),one_one(int))),t),
    inference(forward_demodulation,[],[f7252,f4888]) ).

fof(f7252,plain,
    twoSqu1929807760sum2sq(product_Pair(int,int,s,one_one(int))) = hAPP(int,int,times_times(int,hAPP(int,int,plus_plus(int,hAPP(int,int,times_times(int,number_number_of(int,hAPP(int,int,plus_plus(int,pls),hAPP(int,int,plus_plus(int,pls),hAPP(int,int,plus_plus(int,pls),hAPP(int,int,plus_plus(int,pls),hAPP(int,int,plus_plus(int,pls),hAPP(int,int,plus_plus(int,pls),hAPP(int,int,plus_plus(int,one_one(int)),hAPP(int,int,plus_plus(int,one_one(int)),hAPP(int,int,plus_plus(int,one_one(int)),hAPP(int,int,plus_plus(int,one_one(int)),hAPP(int,int,plus_plus(int,pls),pls))))))))))))),m)),one_one(int))),t),
    inference(forward_demodulation,[],[f7251,f5803]) ).

fof(f7251,plain,
    twoSqu1929807760sum2sq(product_Pair(int,int,s,one_one(int))) = hAPP(int,int,times_times(int,hAPP(int,int,plus_plus(int,hAPP(int,int,times_times(int,number_number_of(int,hAPP(int,int,plus_plus(int,pls),hAPP(int,int,plus_plus(int,pls),hAPP(int,int,plus_plus(int,pls),hAPP(int,int,plus_plus(int,pls),hAPP(int,int,plus_plus(int,pls),hAPP(int,int,plus_plus(int,pls),hAPP(int,int,plus_plus(int,one_one(int)),hAPP(int,int,plus_plus(int,one_one(int)),hAPP(int,int,plus_plus(int,one_one(int)),hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,one_one(int)),pls)),pls)))))))))))),m)),one_one(int))),t),
    inference(forward_demodulation,[],[f7250,f4888]) ).

fof(f7250,plain,
    twoSqu1929807760sum2sq(product_Pair(int,int,s,one_one(int))) = hAPP(int,int,times_times(int,hAPP(int,int,plus_plus(int,hAPP(int,int,times_times(int,number_number_of(int,hAPP(int,int,plus_plus(int,pls),hAPP(int,int,plus_plus(int,pls),hAPP(int,int,plus_plus(int,pls),hAPP(int,int,plus_plus(int,pls),hAPP(int,int,plus_plus(int,pls),hAPP(int,int,plus_plus(int,one_one(int)),hAPP(int,int,plus_plus(int,pls),hAPP(int,int,plus_plus(int,one_one(int)),hAPP(int,int,plus_plus(int,one_one(int)),hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,one_one(int)),pls)),pls)))))))))))),m)),one_one(int))),t),
    inference(forward_demodulation,[],[f7249,f4888]) ).

fof(f7249,plain,
    twoSqu1929807760sum2sq(product_Pair(int,int,s,one_one(int))) = hAPP(int,int,times_times(int,hAPP(int,int,plus_plus(int,hAPP(int,int,times_times(int,number_number_of(int,hAPP(int,int,plus_plus(int,pls),hAPP(int,int,plus_plus(int,pls),hAPP(int,int,plus_plus(int,pls),hAPP(int,int,plus_plus(int,pls),hAPP(int,int,plus_plus(int,pls),hAPP(int,int,plus_plus(int,one_one(int)),hAPP(int,int,plus_plus(int,one_one(int)),hAPP(int,int,plus_plus(int,pls),hAPP(int,int,plus_plus(int,one_one(int)),hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,one_one(int)),pls)),pls)))))))))))),m)),one_one(int))),t),
    inference(forward_demodulation,[],[f7248,f4888]) ).

fof(f7248,plain,
    twoSqu1929807760sum2sq(product_Pair(int,int,s,one_one(int))) = hAPP(int,int,times_times(int,hAPP(int,int,plus_plus(int,hAPP(int,int,times_times(int,number_number_of(int,hAPP(int,int,plus_plus(int,pls),hAPP(int,int,plus_plus(int,pls),hAPP(int,int,plus_plus(int,pls),hAPP(int,int,plus_plus(int,pls),hAPP(int,int,plus_plus(int,pls),hAPP(int,int,plus_plus(int,one_one(int)),hAPP(int,int,plus_plus(int,one_one(int)),hAPP(int,int,plus_plus(int,one_one(int)),hAPP(int,int,plus_plus(int,pls),hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,one_one(int)),pls)),pls)))))))))))),m)),one_one(int))),t),
    inference(forward_demodulation,[],[f7247,f4888]) ).

fof(f7247,plain,
    twoSqu1929807760sum2sq(product_Pair(int,int,s,one_one(int))) = hAPP(int,int,times_times(int,hAPP(int,int,plus_plus(int,hAPP(int,int,times_times(int,number_number_of(int,hAPP(int,int,plus_plus(int,pls),hAPP(int,int,plus_plus(int,pls),hAPP(int,int,plus_plus(int,pls),hAPP(int,int,plus_plus(int,pls),hAPP(int,int,plus_plus(int,one_one(int)),hAPP(int,int,plus_plus(int,pls),hAPP(int,int,plus_plus(int,one_one(int)),hAPP(int,int,plus_plus(int,one_one(int)),hAPP(int,int,plus_plus(int,pls),hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,one_one(int)),pls)),pls)))))))))))),m)),one_one(int))),t),
    inference(forward_demodulation,[],[f7246,f4888]) ).

fof(f7246,plain,
    twoSqu1929807760sum2sq(product_Pair(int,int,s,one_one(int))) = hAPP(int,int,times_times(int,hAPP(int,int,plus_plus(int,hAPP(int,int,times_times(int,number_number_of(int,hAPP(int,int,plus_plus(int,pls),hAPP(int,int,plus_plus(int,pls),hAPP(int,int,plus_plus(int,pls),hAPP(int,int,plus_plus(int,pls),hAPP(int,int,plus_plus(int,one_one(int)),hAPP(int,int,plus_plus(int,one_one(int)),hAPP(int,int,plus_plus(int,pls),hAPP(int,int,plus_plus(int,one_one(int)),hAPP(int,int,plus_plus(int,pls),hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,one_one(int)),pls)),pls)))))))))))),m)),one_one(int))),t),
    inference(forward_demodulation,[],[f7245,f4888]) ).

fof(f7245,plain,
    twoSqu1929807760sum2sq(product_Pair(int,int,s,one_one(int))) = hAPP(int,int,times_times(int,hAPP(int,int,plus_plus(int,hAPP(int,int,times_times(int,number_number_of(int,hAPP(int,int,plus_plus(int,pls),hAPP(int,int,plus_plus(int,pls),hAPP(int,int,plus_plus(int,pls),hAPP(int,int,plus_plus(int,pls),hAPP(int,int,plus_plus(int,one_one(int)),hAPP(int,int,plus_plus(int,one_one(int)),hAPP(int,int,plus_plus(int,one_one(int)),hAPP(int,int,plus_plus(int,pls),hAPP(int,int,plus_plus(int,pls),hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,one_one(int)),pls)),pls)))))))))))),m)),one_one(int))),t),
    inference(forward_demodulation,[],[f7244,f5803]) ).

fof(f7244,plain,
    twoSqu1929807760sum2sq(product_Pair(int,int,s,one_one(int))) = hAPP(int,int,times_times(int,hAPP(int,int,plus_plus(int,hAPP(int,int,times_times(int,number_number_of(int,hAPP(int,int,plus_plus(int,pls),hAPP(int,int,plus_plus(int,pls),hAPP(int,int,plus_plus(int,pls),hAPP(int,int,plus_plus(int,pls),hAPP(int,int,plus_plus(int,one_one(int)),hAPP(int,int,plus_plus(int,one_one(int)),hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,one_one(int)),pls)),hAPP(int,int,plus_plus(int,pls),hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,one_one(int)),pls)),pls))))))))))),m)),one_one(int))),t),
    inference(forward_demodulation,[],[f7243,f5803]) ).

fof(f7243,plain,
    twoSqu1929807760sum2sq(product_Pair(int,int,s,one_one(int))) = hAPP(int,int,times_times(int,hAPP(int,int,plus_plus(int,hAPP(int,int,times_times(int,number_number_of(int,hAPP(int,int,plus_plus(int,pls),hAPP(int,int,plus_plus(int,pls),hAPP(int,int,plus_plus(int,pls),hAPP(int,int,plus_plus(int,pls),hAPP(int,int,plus_plus(int,one_one(int)),hAPP(int,int,plus_plus(int,one_one(int)),hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,one_one(int)),pls)),pls)),hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,one_one(int)),pls)),pls)))))))))),m)),one_one(int))),t),
    inference(forward_demodulation,[],[f7242,f4888]) ).

fof(f7242,plain,
    twoSqu1929807760sum2sq(product_Pair(int,int,s,one_one(int))) = hAPP(int,int,times_times(int,hAPP(int,int,plus_plus(int,hAPP(int,int,times_times(int,number_number_of(int,hAPP(int,int,plus_plus(int,pls),hAPP(int,int,plus_plus(int,pls),hAPP(int,int,plus_plus(int,pls),hAPP(int,int,plus_plus(int,one_one(int)),hAPP(int,int,plus_plus(int,pls),hAPP(int,int,plus_plus(int,one_one(int)),hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,one_one(int)),pls)),pls)),hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,one_one(int)),pls)),pls)))))))))),m)),one_one(int))),t),
    inference(forward_demodulation,[],[f7241,f4888]) ).

fof(f7241,plain,
    twoSqu1929807760sum2sq(product_Pair(int,int,s,one_one(int))) = hAPP(int,int,times_times(int,hAPP(int,int,plus_plus(int,hAPP(int,int,times_times(int,number_number_of(int,hAPP(int,int,plus_plus(int,pls),hAPP(int,int,plus_plus(int,pls),hAPP(int,int,plus_plus(int,pls),hAPP(int,int,plus_plus(int,one_one(int)),hAPP(int,int,plus_plus(int,one_one(int)),hAPP(int,int,plus_plus(int,pls),hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,one_one(int)),pls)),pls)),hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,one_one(int)),pls)),pls)))))))))),m)),one_one(int))),t),
    inference(forward_demodulation,[],[f7240,f4888]) ).

fof(f7240,plain,
    twoSqu1929807760sum2sq(product_Pair(int,int,s,one_one(int))) = hAPP(int,int,times_times(int,hAPP(int,int,plus_plus(int,hAPP(int,int,times_times(int,number_number_of(int,hAPP(int,int,plus_plus(int,pls),hAPP(int,int,plus_plus(int,pls),hAPP(int,int,plus_plus(int,one_one(int)),hAPP(int,int,plus_plus(int,pls),hAPP(int,int,plus_plus(int,one_one(int)),hAPP(int,int,plus_plus(int,pls),hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,one_one(int)),pls)),pls)),hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,one_one(int)),pls)),pls)))))))))),m)),one_one(int))),t),
    inference(forward_demodulation,[],[f7239,f4888]) ).

fof(f7239,plain,
    twoSqu1929807760sum2sq(product_Pair(int,int,s,one_one(int))) = hAPP(int,int,times_times(int,hAPP(int,int,plus_plus(int,hAPP(int,int,times_times(int,number_number_of(int,hAPP(int,int,plus_plus(int,pls),hAPP(int,int,plus_plus(int,pls),hAPP(int,int,plus_plus(int,one_one(int)),hAPP(int,int,plus_plus(int,one_one(int)),hAPP(int,int,plus_plus(int,pls),hAPP(int,int,plus_plus(int,pls),hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,one_one(int)),pls)),pls)),hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,one_one(int)),pls)),pls)))))))))),m)),one_one(int))),t),
    inference(forward_demodulation,[],[f7238,f5803]) ).

fof(f7238,plain,
    twoSqu1929807760sum2sq(product_Pair(int,int,s,one_one(int))) = hAPP(int,int,times_times(int,hAPP(int,int,plus_plus(int,hAPP(int,int,times_times(int,number_number_of(int,hAPP(int,int,plus_plus(int,pls),hAPP(int,int,plus_plus(int,pls),hAPP(int,int,plus_plus(int,one_one(int)),hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,one_one(int)),pls)),hAPP(int,int,plus_plus(int,pls),hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,one_one(int)),pls)),pls)),hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,one_one(int)),pls)),pls))))))))),m)),one_one(int))),t),
    inference(forward_demodulation,[],[f7237,f5803]) ).

fof(f7237,plain,
    twoSqu1929807760sum2sq(product_Pair(int,int,s,one_one(int))) = hAPP(int,int,times_times(int,hAPP(int,int,plus_plus(int,hAPP(int,int,times_times(int,number_number_of(int,hAPP(int,int,plus_plus(int,pls),hAPP(int,int,plus_plus(int,pls),hAPP(int,int,plus_plus(int,one_one(int)),hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,one_one(int)),pls)),pls)),hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,one_one(int)),pls)),pls)),hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,one_one(int)),pls)),pls)))))))),m)),one_one(int))),t),
    inference(forward_demodulation,[],[f7236,f4888]) ).

fof(f7236,plain,
    twoSqu1929807760sum2sq(product_Pair(int,int,s,one_one(int))) = hAPP(int,int,times_times(int,hAPP(int,int,plus_plus(int,hAPP(int,int,times_times(int,number_number_of(int,hAPP(int,int,plus_plus(int,pls),hAPP(int,int,plus_plus(int,one_one(int)),hAPP(int,int,plus_plus(int,pls),hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,one_one(int)),pls)),pls)),hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,one_one(int)),pls)),pls)),hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,one_one(int)),pls)),pls)))))))),m)),one_one(int))),t),
    inference(forward_demodulation,[],[f7235,f4888]) ).

fof(f7235,plain,
    twoSqu1929807760sum2sq(product_Pair(int,int,s,one_one(int))) = hAPP(int,int,times_times(int,hAPP(int,int,plus_plus(int,hAPP(int,int,times_times(int,number_number_of(int,hAPP(int,int,plus_plus(int,one_one(int)),hAPP(int,int,plus_plus(int,pls),hAPP(int,int,plus_plus(int,pls),hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,one_one(int)),pls)),pls)),hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,one_one(int)),pls)),pls)),hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,one_one(int)),pls)),pls)))))))),m)),one_one(int))),t),
    inference(forward_demodulation,[],[f7234,f5803]) ).

fof(f7234,plain,
    twoSqu1929807760sum2sq(product_Pair(int,int,s,one_one(int))) = hAPP(int,int,times_times(int,hAPP(int,int,plus_plus(int,hAPP(int,int,times_times(int,number_number_of(int,hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,one_one(int)),pls)),hAPP(int,int,plus_plus(int,pls),hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,one_one(int)),pls)),pls)),hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,one_one(int)),pls)),pls)),hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,one_one(int)),pls)),pls))))))),m)),one_one(int))),t),
    inference(forward_demodulation,[],[f7233,f5803]) ).

fof(f7233,plain,
    twoSqu1929807760sum2sq(product_Pair(int,int,s,one_one(int))) = hAPP(int,int,times_times(int,hAPP(int,int,plus_plus(int,hAPP(int,int,times_times(int,number_number_of(int,hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,one_one(int)),pls)),pls)),hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,one_one(int)),pls)),pls)),hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,one_one(int)),pls)),pls)),hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,one_one(int)),pls)),pls)))))),m)),one_one(int))),t),
    inference(forward_demodulation,[],[f6175,f5803]) ).

fof(f6175,plain,
    twoSqu1929807760sum2sq(product_Pair(int,int,s,one_one(int))) = hAPP(int,int,times_times(int,hAPP(int,int,plus_plus(int,hAPP(int,int,times_times(int,number_number_of(int,hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,one_one(int)),pls)),pls)),hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,one_one(int)),pls)),pls))),hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,one_one(int)),pls)),pls)),hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,one_one(int)),pls)),pls))))),m)),one_one(int))),t),
    inference(definition_unfolding,[],[f5709,f4262,f4262,f5490]) ).

fof(f5709,plain,
    hAPP(int,int,times_times(int,hAPP(int,int,plus_plus(int,hAPP(int,int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls))))),m)),one_one(int))),t) = twoSqu1929807760sum2sq(product_Pair(int,int,s,one_one(int))),
    inference(cnf_transformation,[],[f849]) ).

fof(f849,axiom,
    hAPP(int,int,times_times(int,hAPP(int,int,plus_plus(int,hAPP(int,int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls))))),m)),one_one(int))),t) = twoSqu1929807760sum2sq(product_Pair(int,int,s,one_one(int))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_751__096sum2sq_A_Is_M_A1_J_A_061_A_I4_A_K_Am_A_L_A1_J_A_K_At_096) ).

fof(f7167,plain,
    hAPP(int,int,times_times(int,hAPP(int,int,plus_plus(int,hAPP(int,int,times_times(int,number_number_of(int,hAPP(int,int,plus_plus(int,pls),hAPP(int,int,plus_plus(int,pls),hAPP(int,int,plus_plus(int,pls),hAPP(int,int,plus_plus(int,pls),hAPP(int,int,plus_plus(int,pls),hAPP(int,int,plus_plus(int,pls),hAPP(int,int,plus_plus(int,pls),hAPP(int,int,plus_plus(int,one_one(int)),hAPP(int,int,plus_plus(int,one_one(int)),hAPP(int,int,plus_plus(int,one_one(int)),number_number_of(int,one_one(int)))))))))))))),m)),one_one(int))),t) = hAPP(int,int,plus_plus(int,hAPP(nat,int,power_power(int,s),hAPP(nat,nat,plus_plus(nat,one_one(nat)),one_one(nat)))),one_one(int)),
    inference(forward_demodulation,[],[f7166,f7097]) ).

fof(f7166,plain,
    hAPP(int,int,plus_plus(int,hAPP(nat,int,power_power(int,s),number_number_of(nat,hAPP(int,int,plus_plus(int,pls),hAPP(int,int,plus_plus(int,pls),hAPP(int,int,plus_plus(int,pls),hAPP(int,int,plus_plus(int,one_one(int)),number_number_of(int,one_one(int))))))))),one_one(int)) = hAPP(int,int,times_times(int,hAPP(int,int,plus_plus(int,hAPP(int,int,times_times(int,number_number_of(int,hAPP(int,int,plus_plus(int,pls),hAPP(int,int,plus_plus(int,pls),hAPP(int,int,plus_plus(int,pls),hAPP(int,int,plus_plus(int,pls),hAPP(int,int,plus_plus(int,pls),hAPP(int,int,plus_plus(int,pls),hAPP(int,int,plus_plus(int,pls),hAPP(int,int,plus_plus(int,one_one(int)),hAPP(int,int,plus_plus(int,one_one(int)),hAPP(int,int,plus_plus(int,one_one(int)),number_number_of(int,one_one(int)))))))))))))),m)),one_one(int))),t),
    inference(forward_demodulation,[],[f7165,f4888]) ).

fof(f7165,plain,
    hAPP(int,int,plus_plus(int,hAPP(nat,int,power_power(int,s),number_number_of(nat,hAPP(int,int,plus_plus(int,pls),hAPP(int,int,plus_plus(int,pls),hAPP(int,int,plus_plus(int,pls),hAPP(int,int,plus_plus(int,one_one(int)),number_number_of(int,one_one(int))))))))),one_one(int)) = hAPP(int,int,times_times(int,hAPP(int,int,plus_plus(int,hAPP(int,int,times_times(int,number_number_of(int,hAPP(int,int,plus_plus(int,pls),hAPP(int,int,plus_plus(int,pls),hAPP(int,int,plus_plus(int,pls),hAPP(int,int,plus_plus(int,pls),hAPP(int,int,plus_plus(int,pls),hAPP(int,int,plus_plus(int,pls),hAPP(int,int,plus_plus(int,one_one(int)),hAPP(int,int,plus_plus(int,pls),hAPP(int,int,plus_plus(int,one_one(int)),hAPP(int,int,plus_plus(int,one_one(int)),number_number_of(int,one_one(int)))))))))))))),m)),one_one(int))),t),
    inference(forward_demodulation,[],[f7164,f4888]) ).

fof(f7164,plain,
    hAPP(int,int,plus_plus(int,hAPP(nat,int,power_power(int,s),number_number_of(nat,hAPP(int,int,plus_plus(int,pls),hAPP(int,int,plus_plus(int,pls),hAPP(int,int,plus_plus(int,pls),hAPP(int,int,plus_plus(int,one_one(int)),number_number_of(int,one_one(int))))))))),one_one(int)) = hAPP(int,int,times_times(int,hAPP(int,int,plus_plus(int,hAPP(int,int,times_times(int,number_number_of(int,hAPP(int,int,plus_plus(int,pls),hAPP(int,int,plus_plus(int,pls),hAPP(int,int,plus_plus(int,pls),hAPP(int,int,plus_plus(int,pls),hAPP(int,int,plus_plus(int,pls),hAPP(int,int,plus_plus(int,pls),hAPP(int,int,plus_plus(int,one_one(int)),hAPP(int,int,plus_plus(int,one_one(int)),hAPP(int,int,plus_plus(int,pls),hAPP(int,int,plus_plus(int,one_one(int)),number_number_of(int,one_one(int)))))))))))))),m)),one_one(int))),t),
    inference(forward_demodulation,[],[f7163,f6839]) ).

fof(f7163,plain,
    hAPP(int,int,times_times(int,hAPP(int,int,plus_plus(int,hAPP(int,int,times_times(int,number_number_of(int,hAPP(int,int,plus_plus(int,pls),hAPP(int,int,plus_plus(int,pls),hAPP(int,int,plus_plus(int,pls),hAPP(int,int,plus_plus(int,pls),hAPP(int,int,plus_plus(int,pls),hAPP(int,int,plus_plus(int,pls),hAPP(int,int,plus_plus(int,one_one(int)),hAPP(int,int,plus_plus(int,one_one(int)),hAPP(int,int,plus_plus(int,pls),hAPP(int,int,plus_plus(int,one_one(int)),hAPP(int,int,plus_plus(int,one_one(int)),pls))))))))))))),m)),one_one(int))),t) = hAPP(int,int,plus_plus(int,hAPP(nat,int,power_power(int,s),number_number_of(nat,hAPP(int,int,plus_plus(int,pls),hAPP(int,int,plus_plus(int,pls),hAPP(int,int,plus_plus(int,pls),hAPP(int,int,plus_plus(int,one_one(int)),hAPP(int,int,plus_plus(int,one_one(int)),pls)))))))),one_one(int)),
    inference(forward_demodulation,[],[f7162,f4888]) ).

fof(f7162,plain,
    hAPP(int,int,plus_plus(int,hAPP(nat,int,power_power(int,s),number_number_of(nat,hAPP(int,int,plus_plus(int,pls),hAPP(int,int,plus_plus(int,pls),hAPP(int,int,plus_plus(int,one_one(int)),hAPP(int,int,plus_plus(int,pls),hAPP(int,int,plus_plus(int,one_one(int)),pls)))))))),one_one(int)) = hAPP(int,int,times_times(int,hAPP(int,int,plus_plus(int,hAPP(int,int,times_times(int,number_number_of(int,hAPP(int,int,plus_plus(int,pls),hAPP(int,int,plus_plus(int,pls),hAPP(int,int,plus_plus(int,pls),hAPP(int,int,plus_plus(int,pls),hAPP(int,int,plus_plus(int,pls),hAPP(int,int,plus_plus(int,pls),hAPP(int,int,plus_plus(int,one_one(int)),hAPP(int,int,plus_plus(int,one_one(int)),hAPP(int,int,plus_plus(int,one_one(int)),hAPP(int,int,plus_plus(int,pls),hAPP(int,int,plus_plus(int,one_one(int)),pls))))))))))))),m)),one_one(int))),t),
    inference(forward_demodulation,[],[f7161,f4888]) ).

fof(f7161,plain,
    hAPP(int,int,plus_plus(int,hAPP(nat,int,power_power(int,s),number_number_of(nat,hAPP(int,int,plus_plus(int,pls),hAPP(int,int,plus_plus(int,pls),hAPP(int,int,plus_plus(int,one_one(int)),hAPP(int,int,plus_plus(int,one_one(int)),hAPP(int,int,plus_plus(int,pls),pls)))))))),one_one(int)) = hAPP(int,int,times_times(int,hAPP(int,int,plus_plus(int,hAPP(int,int,times_times(int,number_number_of(int,hAPP(int,int,plus_plus(int,pls),hAPP(int,int,plus_plus(int,pls),hAPP(int,int,plus_plus(int,pls),hAPP(int,int,plus_plus(int,pls),hAPP(int,int,plus_plus(int,pls),hAPP(int,int,plus_plus(int,pls),hAPP(int,int,plus_plus(int,one_one(int)),hAPP(int,int,plus_plus(int,one_one(int)),hAPP(int,int,plus_plus(int,one_one(int)),hAPP(int,int,plus_plus(int,one_one(int)),hAPP(int,int,plus_plus(int,pls),pls))))))))))))),m)),one_one(int))),t),
    inference(forward_demodulation,[],[f7160,f4888]) ).

fof(f7160,plain,
    hAPP(int,int,plus_plus(int,hAPP(nat,int,power_power(int,s),number_number_of(nat,hAPP(int,int,plus_plus(int,pls),hAPP(int,int,plus_plus(int,pls),hAPP(int,int,plus_plus(int,one_one(int)),hAPP(int,int,plus_plus(int,one_one(int)),hAPP(int,int,plus_plus(int,pls),pls)))))))),one_one(int)) = hAPP(int,int,times_times(int,hAPP(int,int,plus_plus(int,hAPP(int,int,times_times(int,number_number_of(int,hAPP(int,int,plus_plus(int,pls),hAPP(int,int,plus_plus(int,pls),hAPP(int,int,plus_plus(int,pls),hAPP(int,int,plus_plus(int,pls),hAPP(int,int,plus_plus(int,pls),hAPP(int,int,plus_plus(int,one_one(int)),hAPP(int,int,plus_plus(int,pls),hAPP(int,int,plus_plus(int,one_one(int)),hAPP(int,int,plus_plus(int,one_one(int)),hAPP(int,int,plus_plus(int,one_one(int)),hAPP(int,int,plus_plus(int,pls),pls))))))))))))),m)),one_one(int))),t),
    inference(forward_demodulation,[],[f7159,f5803]) ).

fof(f7159,plain,
    hAPP(int,int,times_times(int,hAPP(int,int,plus_plus(int,hAPP(int,int,times_times(int,number_number_of(int,hAPP(int,int,plus_plus(int,pls),hAPP(int,int,plus_plus(int,pls),hAPP(int,int,plus_plus(int,pls),hAPP(int,int,plus_plus(int,pls),hAPP(int,int,plus_plus(int,pls),hAPP(int,int,plus_plus(int,one_one(int)),hAPP(int,int,plus_plus(int,pls),hAPP(int,int,plus_plus(int,one_one(int)),hAPP(int,int,plus_plus(int,one_one(int)),hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,one_one(int)),pls)),pls)))))))))))),m)),one_one(int))),t) = hAPP(int,int,plus_plus(int,hAPP(nat,int,power_power(int,s),number_number_of(nat,hAPP(int,int,plus_plus(int,pls),hAPP(int,int,plus_plus(int,pls),hAPP(int,int,plus_plus(int,one_one(int)),hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,one_one(int)),pls)),pls))))))),one_one(int)),
    inference(forward_demodulation,[],[f7158,f4888]) ).

fof(f7158,plain,
    hAPP(int,int,plus_plus(int,hAPP(nat,int,power_power(int,s),number_number_of(nat,hAPP(int,int,plus_plus(int,pls),hAPP(int,int,plus_plus(int,pls),hAPP(int,int,plus_plus(int,one_one(int)),hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,one_one(int)),pls)),pls))))))),one_one(int)) = hAPP(int,int,times_times(int,hAPP(int,int,plus_plus(int,hAPP(int,int,times_times(int,number_number_of(int,hAPP(int,int,plus_plus(int,pls),hAPP(int,int,plus_plus(int,pls),hAPP(int,int,plus_plus(int,pls),hAPP(int,int,plus_plus(int,pls),hAPP(int,int,plus_plus(int,pls),hAPP(int,int,plus_plus(int,one_one(int)),hAPP(int,int,plus_plus(int,one_one(int)),hAPP(int,int,plus_plus(int,pls),hAPP(int,int,plus_plus(int,one_one(int)),hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,one_one(int)),pls)),pls)))))))))))),m)),one_one(int))),t),
    inference(forward_demodulation,[],[f7157,f4888]) ).

fof(f7157,plain,
    hAPP(int,int,plus_plus(int,hAPP(nat,int,power_power(int,s),number_number_of(nat,hAPP(int,int,plus_plus(int,pls),hAPP(int,int,plus_plus(int,one_one(int)),hAPP(int,int,plus_plus(int,pls),hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,one_one(int)),pls)),pls))))))),one_one(int)) = hAPP(int,int,times_times(int,hAPP(int,int,plus_plus(int,hAPP(int,int,times_times(int,number_number_of(int,hAPP(int,int,plus_plus(int,pls),hAPP(int,int,plus_plus(int,pls),hAPP(int,int,plus_plus(int,pls),hAPP(int,int,plus_plus(int,pls),hAPP(int,int,plus_plus(int,pls),hAPP(int,int,plus_plus(int,one_one(int)),hAPP(int,int,plus_plus(int,one_one(int)),hAPP(int,int,plus_plus(int,one_one(int)),hAPP(int,int,plus_plus(int,pls),hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,one_one(int)),pls)),pls)))))))))))),m)),one_one(int))),t),
    inference(forward_demodulation,[],[f7156,f4888]) ).

fof(f7156,plain,
    hAPP(int,int,plus_plus(int,hAPP(nat,int,power_power(int,s),number_number_of(nat,hAPP(int,int,plus_plus(int,pls),hAPP(int,int,plus_plus(int,one_one(int)),hAPP(int,int,plus_plus(int,pls),hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,one_one(int)),pls)),pls))))))),one_one(int)) = hAPP(int,int,times_times(int,hAPP(int,int,plus_plus(int,hAPP(int,int,times_times(int,number_number_of(int,hAPP(int,int,plus_plus(int,pls),hAPP(int,int,plus_plus(int,pls),hAPP(int,int,plus_plus(int,pls),hAPP(int,int,plus_plus(int,pls),hAPP(int,int,plus_plus(int,one_one(int)),hAPP(int,int,plus_plus(int,pls),hAPP(int,int,plus_plus(int,one_one(int)),hAPP(int,int,plus_plus(int,one_one(int)),hAPP(int,int,plus_plus(int,pls),hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,one_one(int)),pls)),pls)))))))))))),m)),one_one(int))),t),
    inference(forward_demodulation,[],[f7155,f4888]) ).

fof(f7155,plain,
    hAPP(int,int,plus_plus(int,hAPP(nat,int,power_power(int,s),number_number_of(nat,hAPP(int,int,plus_plus(int,pls),hAPP(int,int,plus_plus(int,one_one(int)),hAPP(int,int,plus_plus(int,pls),hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,one_one(int)),pls)),pls))))))),one_one(int)) = hAPP(int,int,times_times(int,hAPP(int,int,plus_plus(int,hAPP(int,int,times_times(int,number_number_of(int,hAPP(int,int,plus_plus(int,pls),hAPP(int,int,plus_plus(int,pls),hAPP(int,int,plus_plus(int,pls),hAPP(int,int,plus_plus(int,pls),hAPP(int,int,plus_plus(int,one_one(int)),hAPP(int,int,plus_plus(int,one_one(int)),hAPP(int,int,plus_plus(int,pls),hAPP(int,int,plus_plus(int,one_one(int)),hAPP(int,int,plus_plus(int,pls),hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,one_one(int)),pls)),pls)))))))))))),m)),one_one(int))),t),
    inference(forward_demodulation,[],[f7154,f4888]) ).

fof(f7154,plain,
    hAPP(int,int,times_times(int,hAPP(int,int,plus_plus(int,hAPP(int,int,times_times(int,number_number_of(int,hAPP(int,int,plus_plus(int,pls),hAPP(int,int,plus_plus(int,pls),hAPP(int,int,plus_plus(int,pls),hAPP(int,int,plus_plus(int,pls),hAPP(int,int,plus_plus(int,one_one(int)),hAPP(int,int,plus_plus(int,one_one(int)),hAPP(int,int,plus_plus(int,one_one(int)),hAPP(int,int,plus_plus(int,pls),hAPP(int,int,plus_plus(int,pls),hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,one_one(int)),pls)),pls)))))))))))),m)),one_one(int))),t) = hAPP(int,int,plus_plus(int,hAPP(nat,int,power_power(int,s),number_number_of(nat,hAPP(int,int,plus_plus(int,one_one(int)),hAPP(int,int,plus_plus(int,pls),hAPP(int,int,plus_plus(int,pls),hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,one_one(int)),pls)),pls))))))),one_one(int)),
    inference(forward_demodulation,[],[f7153,f5803]) ).

fof(f7153,plain,
    hAPP(int,int,plus_plus(int,hAPP(nat,int,power_power(int,s),number_number_of(nat,hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,one_one(int)),pls)),hAPP(int,int,plus_plus(int,pls),hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,one_one(int)),pls)),pls)))))),one_one(int)) = hAPP(int,int,times_times(int,hAPP(int,int,plus_plus(int,hAPP(int,int,times_times(int,number_number_of(int,hAPP(int,int,plus_plus(int,pls),hAPP(int,int,plus_plus(int,pls),hAPP(int,int,plus_plus(int,pls),hAPP(int,int,plus_plus(int,pls),hAPP(int,int,plus_plus(int,one_one(int)),hAPP(int,int,plus_plus(int,one_one(int)),hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,one_one(int)),pls)),hAPP(int,int,plus_plus(int,pls),hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,one_one(int)),pls)),pls))))))))))),m)),one_one(int))),t),
    inference(forward_demodulation,[],[f7152,f4888]) ).

fof(f7152,plain,
    hAPP(int,int,plus_plus(int,hAPP(nat,int,power_power(int,s),number_number_of(nat,hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,one_one(int)),pls)),hAPP(int,int,plus_plus(int,pls),hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,one_one(int)),pls)),pls)))))),one_one(int)) = hAPP(int,int,times_times(int,hAPP(int,int,plus_plus(int,hAPP(int,int,times_times(int,number_number_of(int,hAPP(int,int,plus_plus(int,pls),hAPP(int,int,plus_plus(int,pls),hAPP(int,int,plus_plus(int,pls),hAPP(int,int,plus_plus(int,one_one(int)),hAPP(int,int,plus_plus(int,pls),hAPP(int,int,plus_plus(int,one_one(int)),hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,one_one(int)),pls)),hAPP(int,int,plus_plus(int,pls),hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,one_one(int)),pls)),pls))))))))))),m)),one_one(int))),t),
    inference(forward_demodulation,[],[f7151,f4888]) ).

fof(f7151,plain,
    hAPP(int,int,plus_plus(int,hAPP(nat,int,power_power(int,s),number_number_of(nat,hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,one_one(int)),pls)),hAPP(int,int,plus_plus(int,pls),hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,one_one(int)),pls)),pls)))))),one_one(int)) = hAPP(int,int,times_times(int,hAPP(int,int,plus_plus(int,hAPP(int,int,times_times(int,number_number_of(int,hAPP(int,int,plus_plus(int,pls),hAPP(int,int,plus_plus(int,pls),hAPP(int,int,plus_plus(int,pls),hAPP(int,int,plus_plus(int,one_one(int)),hAPP(int,int,plus_plus(int,one_one(int)),hAPP(int,int,plus_plus(int,pls),hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,one_one(int)),pls)),hAPP(int,int,plus_plus(int,pls),hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,one_one(int)),pls)),pls))))))))))),m)),one_one(int))),t),
    inference(forward_demodulation,[],[f7150,f4888]) ).

fof(f7150,plain,
    hAPP(int,int,plus_plus(int,hAPP(nat,int,power_power(int,s),number_number_of(nat,hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,one_one(int)),pls)),hAPP(int,int,plus_plus(int,pls),hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,one_one(int)),pls)),pls)))))),one_one(int)) = hAPP(int,int,times_times(int,hAPP(int,int,plus_plus(int,hAPP(int,int,times_times(int,number_number_of(int,hAPP(int,int,plus_plus(int,pls),hAPP(int,int,plus_plus(int,pls),hAPP(int,int,plus_plus(int,one_one(int)),hAPP(int,int,plus_plus(int,pls),hAPP(int,int,plus_plus(int,one_one(int)),hAPP(int,int,plus_plus(int,pls),hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,one_one(int)),pls)),hAPP(int,int,plus_plus(int,pls),hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,one_one(int)),pls)),pls))))))))))),m)),one_one(int))),t),
    inference(forward_demodulation,[],[f7149,f4888]) ).

fof(f7149,plain,
    hAPP(int,int,plus_plus(int,hAPP(nat,int,power_power(int,s),number_number_of(nat,hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,one_one(int)),pls)),hAPP(int,int,plus_plus(int,pls),hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,one_one(int)),pls)),pls)))))),one_one(int)) = hAPP(int,int,times_times(int,hAPP(int,int,plus_plus(int,hAPP(int,int,times_times(int,number_number_of(int,hAPP(int,int,plus_plus(int,pls),hAPP(int,int,plus_plus(int,pls),hAPP(int,int,plus_plus(int,one_one(int)),hAPP(int,int,plus_plus(int,one_one(int)),hAPP(int,int,plus_plus(int,pls),hAPP(int,int,plus_plus(int,pls),hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,one_one(int)),pls)),hAPP(int,int,plus_plus(int,pls),hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,one_one(int)),pls)),pls))))))))))),m)),one_one(int))),t),
    inference(forward_demodulation,[],[f7148,f5803]) ).

fof(f7148,plain,
    hAPP(int,int,plus_plus(int,hAPP(nat,int,power_power(int,s),number_number_of(nat,hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,one_one(int)),pls)),hAPP(int,int,plus_plus(int,pls),hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,one_one(int)),pls)),pls)))))),one_one(int)) = hAPP(int,int,times_times(int,hAPP(int,int,plus_plus(int,hAPP(int,int,times_times(int,number_number_of(int,hAPP(int,int,plus_plus(int,pls),hAPP(int,int,plus_plus(int,pls),hAPP(int,int,plus_plus(int,one_one(int)),hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,one_one(int)),pls)),hAPP(int,int,plus_plus(int,pls),hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,one_one(int)),pls)),hAPP(int,int,plus_plus(int,pls),hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,one_one(int)),pls)),pls)))))))))),m)),one_one(int))),t),
    inference(forward_demodulation,[],[f7147,f5803]) ).

fof(f7147,plain,
    hAPP(int,int,plus_plus(int,hAPP(nat,int,power_power(int,s),number_number_of(nat,hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,one_one(int)),pls)),hAPP(int,int,plus_plus(int,pls),hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,one_one(int)),pls)),pls)))))),one_one(int)) = hAPP(int,int,times_times(int,hAPP(int,int,plus_plus(int,hAPP(int,int,times_times(int,number_number_of(int,hAPP(int,int,plus_plus(int,pls),hAPP(int,int,plus_plus(int,pls),hAPP(int,int,plus_plus(int,one_one(int)),hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,one_one(int)),pls)),pls)),hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,one_one(int)),pls)),hAPP(int,int,plus_plus(int,pls),hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,one_one(int)),pls)),pls))))))))),m)),one_one(int))),t),
    inference(forward_demodulation,[],[f7146,f4888]) ).

fof(f7146,plain,
    hAPP(int,int,plus_plus(int,hAPP(nat,int,power_power(int,s),number_number_of(nat,hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,one_one(int)),pls)),hAPP(int,int,plus_plus(int,pls),hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,one_one(int)),pls)),pls)))))),one_one(int)) = hAPP(int,int,times_times(int,hAPP(int,int,plus_plus(int,hAPP(int,int,times_times(int,number_number_of(int,hAPP(int,int,plus_plus(int,pls),hAPP(int,int,plus_plus(int,one_one(int)),hAPP(int,int,plus_plus(int,pls),hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,one_one(int)),pls)),pls)),hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,one_one(int)),pls)),hAPP(int,int,plus_plus(int,pls),hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,one_one(int)),pls)),pls))))))))),m)),one_one(int))),t),
    inference(forward_demodulation,[],[f7145,f4888]) ).

fof(f7145,plain,
    hAPP(int,int,plus_plus(int,hAPP(nat,int,power_power(int,s),number_number_of(nat,hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,one_one(int)),pls)),hAPP(int,int,plus_plus(int,pls),hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,one_one(int)),pls)),pls)))))),one_one(int)) = hAPP(int,int,times_times(int,hAPP(int,int,plus_plus(int,hAPP(int,int,times_times(int,number_number_of(int,hAPP(int,int,plus_plus(int,one_one(int)),hAPP(int,int,plus_plus(int,pls),hAPP(int,int,plus_plus(int,pls),hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,one_one(int)),pls)),pls)),hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,one_one(int)),pls)),hAPP(int,int,plus_plus(int,pls),hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,one_one(int)),pls)),pls))))))))),m)),one_one(int))),t),
    inference(forward_demodulation,[],[f7144,f5803]) ).

fof(f7144,plain,
    hAPP(int,int,plus_plus(int,hAPP(nat,int,power_power(int,s),number_number_of(nat,hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,one_one(int)),pls)),hAPP(int,int,plus_plus(int,pls),hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,one_one(int)),pls)),pls)))))),one_one(int)) = hAPP(int,int,times_times(int,hAPP(int,int,plus_plus(int,hAPP(int,int,times_times(int,number_number_of(int,hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,one_one(int)),pls)),hAPP(int,int,plus_plus(int,pls),hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,one_one(int)),pls)),pls)),hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,one_one(int)),pls)),hAPP(int,int,plus_plus(int,pls),hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,one_one(int)),pls)),pls)))))))),m)),one_one(int))),t),
    inference(forward_demodulation,[],[f7143,f5803]) ).

fof(f7143,plain,
    hAPP(int,int,plus_plus(int,hAPP(nat,int,power_power(int,s),number_number_of(nat,hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,one_one(int)),pls)),hAPP(int,int,plus_plus(int,pls),hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,one_one(int)),pls)),pls)))))),one_one(int)) = hAPP(int,int,times_times(int,hAPP(int,int,plus_plus(int,hAPP(int,int,times_times(int,number_number_of(int,hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,one_one(int)),pls)),pls)),hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,one_one(int)),pls)),pls)),hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,one_one(int)),pls)),hAPP(int,int,plus_plus(int,pls),hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,one_one(int)),pls)),pls))))))),m)),one_one(int))),t),
    inference(forward_demodulation,[],[f7142,f5803]) ).

fof(f7142,plain,
    hAPP(int,int,times_times(int,hAPP(int,int,plus_plus(int,hAPP(int,int,times_times(int,number_number_of(int,hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,one_one(int)),pls)),pls)),hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,one_one(int)),pls)),pls)),hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,one_one(int)),pls)),pls)),hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,one_one(int)),pls)),pls)))))),m)),one_one(int))),t) = hAPP(int,int,plus_plus(int,hAPP(nat,int,power_power(int,s),number_number_of(nat,hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,one_one(int)),pls)),pls)),hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,one_one(int)),pls)),pls))))),one_one(int)),
    inference(forward_demodulation,[],[f6099,f5803]) ).

fof(f6099,plain,
    hAPP(int,int,plus_plus(int,hAPP(nat,int,power_power(int,s),number_number_of(nat,hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,one_one(int)),pls)),pls)),hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,one_one(int)),pls)),pls))))),one_one(int)) = hAPP(int,int,times_times(int,hAPP(int,int,plus_plus(int,hAPP(int,int,times_times(int,number_number_of(int,hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,one_one(int)),pls)),pls)),hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,one_one(int)),pls)),pls))),hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,one_one(int)),pls)),pls)),hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,one_one(int)),pls)),pls))))),m)),one_one(int))),t),
    inference(definition_unfolding,[],[f5315,f4262,f4262,f5490,f4262,f5490]) ).

fof(f5315,plain,
    hAPP(int,int,times_times(int,hAPP(int,int,plus_plus(int,hAPP(int,int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls))))),m)),one_one(int))),t) = hAPP(int,int,plus_plus(int,hAPP(nat,int,power_power(int,s),number_number_of(nat,bit0(bit1(pls))))),one_one(int)),
    inference(cnf_transformation,[],[f101]) ).

fof(f101,axiom,
    hAPP(int,int,times_times(int,hAPP(int,int,plus_plus(int,hAPP(int,int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls))))),m)),one_one(int))),t) = hAPP(int,int,plus_plus(int,hAPP(nat,int,power_power(int,s),number_number_of(nat,bit0(bit1(pls))))),one_one(int)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_3_t) ).

fof(f9141,plain,
    hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),twoSqu1929807760sum2sq(product_Pair(int,int,s,one_one(int)))),pls)),
    inference(forward_demodulation,[],[f9121,f4270]) ).

fof(f4270,plain,
    ! [X0] : pls = hAPP(int,int,times_times(int,pls),X0),
    inference(cnf_transformation,[],[f2125]) ).

fof(f2125,plain,
    ! [X0] : pls = hAPP(int,int,times_times(int,pls),X0),
    inference(rectify,[],[f160]) ).

fof(f160,axiom,
    ! [X11] : pls = hAPP(int,int,times_times(int,pls),X11),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_62_mult__Pls) ).

fof(f9121,plain,
    hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),twoSqu1929807760sum2sq(product_Pair(int,int,s,one_one(int)))),hAPP(int,int,times_times(int,pls),hAPP(int,int,plus_plus(int,one_one(int)),hAPP(int,int,times_times(int,number_number_of(int,number_number_of(int,number_number_of(int,number_number_of(int,number_number_of(int,number_number_of(int,number_number_of(int,number_number_of(int,hAPP(int,int,plus_plus(int,one_one(int)),hAPP(int,int,plus_plus(int,one_one(int)),hAPP(int,int,plus_plus(int,one_one(int)),number_number_of(int,one_one(int)))))))))))))),m))))),
    inference(backward_demodulation,[],[f8242,f4592]) ).

fof(f4592,plain,
    ! [X0,X1] : hAPP(int,int,times_times(int,X1),X0) = hAPP(int,int,times_times(int,X0),X1),
    inference(cnf_transformation,[],[f3491]) ).

fof(f3491,plain,
    ! [X0,X1] : hAPP(int,int,times_times(int,X1),X0) = hAPP(int,int,times_times(int,X0),X1),
    inference(rectify,[],[f1308]) ).

fof(f1308,plain,
    ! [X1,X0] : hAPP(int,int,times_times(int,X1),X0) = hAPP(int,int,times_times(int,X0),X1),
    inference(rectify,[],[f121]) ).

fof(f121,axiom,
    ! [X15,X11] : hAPP(int,int,times_times(int,X15),X11) = hAPP(int,int,times_times(int,X11),X15),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_23_zmult__commute) ).

fof(f8242,plain,
    hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),twoSqu1929807760sum2sq(product_Pair(int,int,s,one_one(int)))),hAPP(int,int,times_times(int,hAPP(int,int,plus_plus(int,one_one(int)),hAPP(int,int,times_times(int,number_number_of(int,number_number_of(int,number_number_of(int,number_number_of(int,number_number_of(int,number_number_of(int,number_number_of(int,number_number_of(int,hAPP(int,int,plus_plus(int,one_one(int)),hAPP(int,int,plus_plus(int,one_one(int)),hAPP(int,int,plus_plus(int,one_one(int)),number_number_of(int,one_one(int)))))))))))))),m))),pls))),
    inference(forward_demodulation,[],[f8241,f7656]) ).

fof(f7656,plain,
    twoSqu1929807760sum2sq(product_Pair(int,int,s,one_one(int))) = hAPP(int,int,times_times(int,hAPP(int,int,plus_plus(int,one_one(int)),hAPP(int,int,times_times(int,number_number_of(int,number_number_of(int,number_number_of(int,number_number_of(int,number_number_of(int,number_number_of(int,number_number_of(int,number_number_of(int,hAPP(int,int,plus_plus(int,one_one(int)),hAPP(int,int,plus_plus(int,one_one(int)),hAPP(int,int,plus_plus(int,one_one(int)),number_number_of(int,one_one(int)))))))))))))),m))),t),
    inference(backward_demodulation,[],[f7420,f5705]) ).

fof(f5705,plain,
    ! [X0,X1] : hAPP(int,int,plus_plus(int,X0),X1) = hAPP(int,int,plus_plus(int,X1),X0),
    inference(cnf_transformation,[],[f4117]) ).

fof(f4117,plain,
    ! [X0,X1] : hAPP(int,int,plus_plus(int,X0),X1) = hAPP(int,int,plus_plus(int,X1),X0),
    inference(rectify,[],[f1729]) ).

fof(f1729,plain,
    ! [X1,X0] : hAPP(int,int,plus_plus(int,X0),X1) = hAPP(int,int,plus_plus(int,X1),X0),
    inference(rectify,[],[f196]) ).

fof(f196,axiom,
    ! [X15,X11] : hAPP(int,int,plus_plus(int,X11),X15) = hAPP(int,int,plus_plus(int,X15),X11),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_98_zadd__commute) ).

fof(f7420,plain,
    twoSqu1929807760sum2sq(product_Pair(int,int,s,one_one(int))) = hAPP(int,int,times_times(int,hAPP(int,int,plus_plus(int,hAPP(int,int,times_times(int,number_number_of(int,number_number_of(int,number_number_of(int,number_number_of(int,number_number_of(int,number_number_of(int,number_number_of(int,number_number_of(int,hAPP(int,int,plus_plus(int,one_one(int)),hAPP(int,int,plus_plus(int,one_one(int)),hAPP(int,int,plus_plus(int,one_one(int)),number_number_of(int,one_one(int)))))))))))))),m)),one_one(int))),t),
    inference(forward_demodulation,[],[f7419,f7293]) ).

fof(f7419,plain,
    twoSqu1929807760sum2sq(product_Pair(int,int,s,one_one(int))) = hAPP(int,int,times_times(int,hAPP(int,int,plus_plus(int,hAPP(int,int,times_times(int,number_number_of(int,number_number_of(int,number_number_of(int,number_number_of(int,number_number_of(int,number_number_of(int,number_number_of(int,hAPP(int,int,plus_plus(int,pls),hAPP(int,int,plus_plus(int,one_one(int)),hAPP(int,int,plus_plus(int,one_one(int)),hAPP(int,int,plus_plus(int,one_one(int)),number_number_of(int,one_one(int)))))))))))))),m)),one_one(int))),t),
    inference(forward_demodulation,[],[f7418,f7293]) ).

fof(f7418,plain,
    twoSqu1929807760sum2sq(product_Pair(int,int,s,one_one(int))) = hAPP(int,int,times_times(int,hAPP(int,int,plus_plus(int,hAPP(int,int,times_times(int,number_number_of(int,number_number_of(int,number_number_of(int,number_number_of(int,number_number_of(int,number_number_of(int,hAPP(int,int,plus_plus(int,pls),hAPP(int,int,plus_plus(int,pls),hAPP(int,int,plus_plus(int,one_one(int)),hAPP(int,int,plus_plus(int,one_one(int)),hAPP(int,int,plus_plus(int,one_one(int)),number_number_of(int,one_one(int)))))))))))))),m)),one_one(int))),t),
    inference(forward_demodulation,[],[f7417,f7293]) ).

fof(f7417,plain,
    twoSqu1929807760sum2sq(product_Pair(int,int,s,one_one(int))) = hAPP(int,int,times_times(int,hAPP(int,int,plus_plus(int,hAPP(int,int,times_times(int,number_number_of(int,number_number_of(int,number_number_of(int,number_number_of(int,hAPP(int,int,plus_plus(int,pls),number_number_of(int,hAPP(int,int,plus_plus(int,pls),hAPP(int,int,plus_plus(int,pls),hAPP(int,int,plus_plus(int,one_one(int)),hAPP(int,int,plus_plus(int,one_one(int)),hAPP(int,int,plus_plus(int,one_one(int)),number_number_of(int,one_one(int)))))))))))))),m)),one_one(int))),t),
    inference(forward_demodulation,[],[f7416,f7293]) ).

fof(f7416,plain,
    twoSqu1929807760sum2sq(product_Pair(int,int,s,one_one(int))) = hAPP(int,int,times_times(int,hAPP(int,int,plus_plus(int,hAPP(int,int,times_times(int,number_number_of(int,number_number_of(int,number_number_of(int,hAPP(int,int,plus_plus(int,pls),hAPP(int,int,plus_plus(int,pls),number_number_of(int,hAPP(int,int,plus_plus(int,pls),hAPP(int,int,plus_plus(int,pls),hAPP(int,int,plus_plus(int,one_one(int)),hAPP(int,int,plus_plus(int,one_one(int)),hAPP(int,int,plus_plus(int,one_one(int)),number_number_of(int,one_one(int)))))))))))))),m)),one_one(int))),t),
    inference(forward_demodulation,[],[f7415,f7293]) ).

fof(f7415,plain,
    twoSqu1929807760sum2sq(product_Pair(int,int,s,one_one(int))) = hAPP(int,int,times_times(int,hAPP(int,int,plus_plus(int,hAPP(int,int,times_times(int,number_number_of(int,number_number_of(int,hAPP(int,int,plus_plus(int,pls),hAPP(int,int,plus_plus(int,pls),hAPP(int,int,plus_plus(int,pls),number_number_of(int,hAPP(int,int,plus_plus(int,pls),hAPP(int,int,plus_plus(int,pls),hAPP(int,int,plus_plus(int,one_one(int)),hAPP(int,int,plus_plus(int,one_one(int)),hAPP(int,int,plus_plus(int,one_one(int)),number_number_of(int,one_one(int)))))))))))))),m)),one_one(int))),t),
    inference(forward_demodulation,[],[f7323,f7293]) ).

fof(f7323,plain,
    twoSqu1929807760sum2sq(product_Pair(int,int,s,one_one(int))) = hAPP(int,int,times_times(int,hAPP(int,int,plus_plus(int,hAPP(int,int,times_times(int,number_number_of(int,hAPP(int,int,plus_plus(int,pls),hAPP(int,int,plus_plus(int,pls),hAPP(int,int,plus_plus(int,pls),hAPP(int,int,plus_plus(int,pls),number_number_of(int,hAPP(int,int,plus_plus(int,pls),hAPP(int,int,plus_plus(int,pls),hAPP(int,int,plus_plus(int,one_one(int)),hAPP(int,int,plus_plus(int,one_one(int)),hAPP(int,int,plus_plus(int,one_one(int)),number_number_of(int,one_one(int)))))))))))))),m)),one_one(int))),t),
    inference(backward_demodulation,[],[f7257,f7293]) ).

fof(f8241,plain,
    hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),hAPP(int,int,times_times(int,hAPP(int,int,plus_plus(int,one_one(int)),hAPP(int,int,times_times(int,number_number_of(int,number_number_of(int,number_number_of(int,number_number_of(int,number_number_of(int,number_number_of(int,number_number_of(int,number_number_of(int,hAPP(int,int,plus_plus(int,one_one(int)),hAPP(int,int,plus_plus(int,one_one(int)),hAPP(int,int,plus_plus(int,one_one(int)),number_number_of(int,one_one(int)))))))))))))),m))),t)),hAPP(int,int,times_times(int,hAPP(int,int,plus_plus(int,one_one(int)),hAPP(int,int,times_times(int,number_number_of(int,number_number_of(int,number_number_of(int,number_number_of(int,number_number_of(int,number_number_of(int,number_number_of(int,number_number_of(int,hAPP(int,int,plus_plus(int,one_one(int)),hAPP(int,int,plus_plus(int,one_one(int)),hAPP(int,int,plus_plus(int,one_one(int)),number_number_of(int,one_one(int)))))))))))))),m))),pls))),
    inference(forward_demodulation,[],[f8240,f6839]) ).

fof(f8240,plain,
    hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),hAPP(int,int,times_times(int,hAPP(int,int,plus_plus(int,one_one(int)),hAPP(int,int,times_times(int,number_number_of(int,number_number_of(int,number_number_of(int,number_number_of(int,number_number_of(int,number_number_of(int,number_number_of(int,number_number_of(int,hAPP(int,int,plus_plus(int,one_one(int)),hAPP(int,int,plus_plus(int,one_one(int)),hAPP(int,int,plus_plus(int,one_one(int)),hAPP(int,int,plus_plus(int,one_one(int)),pls))))))))))))),m))),t)),hAPP(int,int,times_times(int,hAPP(int,int,plus_plus(int,one_one(int)),hAPP(int,int,times_times(int,number_number_of(int,number_number_of(int,number_number_of(int,number_number_of(int,number_number_of(int,number_number_of(int,number_number_of(int,number_number_of(int,hAPP(int,int,plus_plus(int,one_one(int)),hAPP(int,int,plus_plus(int,one_one(int)),hAPP(int,int,plus_plus(int,one_one(int)),hAPP(int,int,plus_plus(int,one_one(int)),pls))))))))))))),m))),pls))),
    inference(forward_demodulation,[],[f8239,f7293]) ).

fof(f8239,plain,
    hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),hAPP(int,int,times_times(int,hAPP(int,int,plus_plus(int,one_one(int)),hAPP(int,int,times_times(int,number_number_of(int,number_number_of(int,number_number_of(int,number_number_of(int,number_number_of(int,number_number_of(int,number_number_of(int,hAPP(int,int,plus_plus(int,pls),hAPP(int,int,plus_plus(int,one_one(int)),hAPP(int,int,plus_plus(int,one_one(int)),hAPP(int,int,plus_plus(int,one_one(int)),hAPP(int,int,plus_plus(int,one_one(int)),pls))))))))))))),m))),t)),hAPP(int,int,times_times(int,hAPP(int,int,plus_plus(int,one_one(int)),hAPP(int,int,times_times(int,number_number_of(int,number_number_of(int,number_number_of(int,number_number_of(int,number_number_of(int,number_number_of(int,number_number_of(int,hAPP(int,int,plus_plus(int,pls),hAPP(int,int,plus_plus(int,one_one(int)),hAPP(int,int,plus_plus(int,one_one(int)),hAPP(int,int,plus_plus(int,one_one(int)),hAPP(int,int,plus_plus(int,one_one(int)),pls))))))))))))),m))),pls))),
    inference(forward_demodulation,[],[f8238,f4888]) ).

fof(f8238,plain,
    hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),hAPP(int,int,times_times(int,hAPP(int,int,plus_plus(int,one_one(int)),hAPP(int,int,times_times(int,number_number_of(int,number_number_of(int,number_number_of(int,number_number_of(int,number_number_of(int,number_number_of(int,number_number_of(int,hAPP(int,int,plus_plus(int,one_one(int)),hAPP(int,int,plus_plus(int,pls),hAPP(int,int,plus_plus(int,one_one(int)),hAPP(int,int,plus_plus(int,one_one(int)),hAPP(int,int,plus_plus(int,one_one(int)),pls))))))))))))),m))),t)),hAPP(int,int,times_times(int,hAPP(int,int,plus_plus(int,one_one(int)),hAPP(int,int,times_times(int,number_number_of(int,number_number_of(int,number_number_of(int,number_number_of(int,number_number_of(int,number_number_of(int,number_number_of(int,hAPP(int,int,plus_plus(int,one_one(int)),hAPP(int,int,plus_plus(int,pls),hAPP(int,int,plus_plus(int,one_one(int)),hAPP(int,int,plus_plus(int,one_one(int)),hAPP(int,int,plus_plus(int,one_one(int)),pls))))))))))))),m))),pls))),
    inference(forward_demodulation,[],[f8237,f4888]) ).

fof(f8237,plain,
    hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),hAPP(int,int,times_times(int,hAPP(int,int,plus_plus(int,one_one(int)),hAPP(int,int,times_times(int,number_number_of(int,number_number_of(int,number_number_of(int,number_number_of(int,number_number_of(int,number_number_of(int,number_number_of(int,hAPP(int,int,plus_plus(int,one_one(int)),hAPP(int,int,plus_plus(int,one_one(int)),hAPP(int,int,plus_plus(int,pls),hAPP(int,int,plus_plus(int,one_one(int)),hAPP(int,int,plus_plus(int,one_one(int)),pls))))))))))))),m))),t)),hAPP(int,int,times_times(int,hAPP(int,int,plus_plus(int,one_one(int)),hAPP(int,int,times_times(int,number_number_of(int,number_number_of(int,number_number_of(int,number_number_of(int,number_number_of(int,number_number_of(int,number_number_of(int,hAPP(int,int,plus_plus(int,one_one(int)),hAPP(int,int,plus_plus(int,one_one(int)),hAPP(int,int,plus_plus(int,pls),hAPP(int,int,plus_plus(int,one_one(int)),hAPP(int,int,plus_plus(int,one_one(int)),pls))))))))))))),m))),pls))),
    inference(forward_demodulation,[],[f8236,f4888]) ).

fof(f8236,plain,
    hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),hAPP(int,int,times_times(int,hAPP(int,int,plus_plus(int,one_one(int)),hAPP(int,int,times_times(int,number_number_of(int,number_number_of(int,number_number_of(int,number_number_of(int,number_number_of(int,number_number_of(int,number_number_of(int,hAPP(int,int,plus_plus(int,one_one(int)),hAPP(int,int,plus_plus(int,one_one(int)),hAPP(int,int,plus_plus(int,one_one(int)),hAPP(int,int,plus_plus(int,pls),hAPP(int,int,plus_plus(int,one_one(int)),pls))))))))))))),m))),t)),hAPP(int,int,times_times(int,hAPP(int,int,plus_plus(int,one_one(int)),hAPP(int,int,times_times(int,number_number_of(int,number_number_of(int,number_number_of(int,number_number_of(int,number_number_of(int,number_number_of(int,number_number_of(int,hAPP(int,int,plus_plus(int,one_one(int)),hAPP(int,int,plus_plus(int,one_one(int)),hAPP(int,int,plus_plus(int,one_one(int)),hAPP(int,int,plus_plus(int,pls),hAPP(int,int,plus_plus(int,one_one(int)),pls))))))))))))),m))),pls))),
    inference(forward_demodulation,[],[f8235,f4888]) ).

fof(f8235,plain,
    hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),hAPP(int,int,times_times(int,hAPP(int,int,plus_plus(int,one_one(int)),hAPP(int,int,times_times(int,number_number_of(int,number_number_of(int,number_number_of(int,number_number_of(int,number_number_of(int,number_number_of(int,number_number_of(int,hAPP(int,int,plus_plus(int,one_one(int)),hAPP(int,int,plus_plus(int,one_one(int)),hAPP(int,int,plus_plus(int,one_one(int)),hAPP(int,int,plus_plus(int,one_one(int)),hAPP(int,int,plus_plus(int,pls),pls))))))))))))),m))),t)),hAPP(int,int,times_times(int,hAPP(int,int,plus_plus(int,one_one(int)),hAPP(int,int,times_times(int,number_number_of(int,number_number_of(int,number_number_of(int,number_number_of(int,number_number_of(int,number_number_of(int,number_number_of(int,hAPP(int,int,plus_plus(int,one_one(int)),hAPP(int,int,plus_plus(int,one_one(int)),hAPP(int,int,plus_plus(int,one_one(int)),hAPP(int,int,plus_plus(int,one_one(int)),hAPP(int,int,plus_plus(int,pls),pls))))))))))))),m))),pls))),
    inference(forward_demodulation,[],[f8234,f5803]) ).

fof(f8234,plain,
    hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),hAPP(int,int,times_times(int,hAPP(int,int,plus_plus(int,one_one(int)),hAPP(int,int,times_times(int,number_number_of(int,number_number_of(int,number_number_of(int,number_number_of(int,number_number_of(int,number_number_of(int,number_number_of(int,hAPP(int,int,plus_plus(int,one_one(int)),hAPP(int,int,plus_plus(int,one_one(int)),hAPP(int,int,plus_plus(int,one_one(int)),hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,one_one(int)),pls)),pls)))))))))))),m))),t)),hAPP(int,int,times_times(int,hAPP(int,int,plus_plus(int,one_one(int)),hAPP(int,int,times_times(int,number_number_of(int,number_number_of(int,number_number_of(int,number_number_of(int,number_number_of(int,number_number_of(int,number_number_of(int,hAPP(int,int,plus_plus(int,one_one(int)),hAPP(int,int,plus_plus(int,one_one(int)),hAPP(int,int,plus_plus(int,one_one(int)),hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,one_one(int)),pls)),pls)))))))))))),m))),pls))),
    inference(forward_demodulation,[],[f8233,f7293]) ).

fof(f8233,plain,
    hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),hAPP(int,int,times_times(int,hAPP(int,int,plus_plus(int,one_one(int)),hAPP(int,int,times_times(int,number_number_of(int,number_number_of(int,number_number_of(int,number_number_of(int,number_number_of(int,number_number_of(int,hAPP(int,int,plus_plus(int,pls),hAPP(int,int,plus_plus(int,one_one(int)),hAPP(int,int,plus_plus(int,one_one(int)),hAPP(int,int,plus_plus(int,one_one(int)),hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,one_one(int)),pls)),pls)))))))))))),m))),t)),hAPP(int,int,times_times(int,hAPP(int,int,plus_plus(int,one_one(int)),hAPP(int,int,times_times(int,number_number_of(int,number_number_of(int,number_number_of(int,number_number_of(int,number_number_of(int,number_number_of(int,hAPP(int,int,plus_plus(int,pls),hAPP(int,int,plus_plus(int,one_one(int)),hAPP(int,int,plus_plus(int,one_one(int)),hAPP(int,int,plus_plus(int,one_one(int)),hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,one_one(int)),pls)),pls)))))))))))),m))),pls))),
    inference(forward_demodulation,[],[f8232,f4888]) ).

fof(f8232,plain,
    hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),hAPP(int,int,times_times(int,hAPP(int,int,plus_plus(int,one_one(int)),hAPP(int,int,times_times(int,number_number_of(int,number_number_of(int,number_number_of(int,number_number_of(int,number_number_of(int,number_number_of(int,hAPP(int,int,plus_plus(int,one_one(int)),hAPP(int,int,plus_plus(int,pls),hAPP(int,int,plus_plus(int,one_one(int)),hAPP(int,int,plus_plus(int,one_one(int)),hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,one_one(int)),pls)),pls)))))))))))),m))),t)),hAPP(int,int,times_times(int,hAPP(int,int,plus_plus(int,one_one(int)),hAPP(int,int,times_times(int,number_number_of(int,number_number_of(int,number_number_of(int,number_number_of(int,number_number_of(int,number_number_of(int,hAPP(int,int,plus_plus(int,one_one(int)),hAPP(int,int,plus_plus(int,pls),hAPP(int,int,plus_plus(int,one_one(int)),hAPP(int,int,plus_plus(int,one_one(int)),hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,one_one(int)),pls)),pls)))))))))))),m))),pls))),
    inference(forward_demodulation,[],[f8231,f4888]) ).

fof(f8231,plain,
    hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),hAPP(int,int,times_times(int,hAPP(int,int,plus_plus(int,one_one(int)),hAPP(int,int,times_times(int,number_number_of(int,number_number_of(int,number_number_of(int,number_number_of(int,number_number_of(int,number_number_of(int,hAPP(int,int,plus_plus(int,one_one(int)),hAPP(int,int,plus_plus(int,one_one(int)),hAPP(int,int,plus_plus(int,pls),hAPP(int,int,plus_plus(int,one_one(int)),hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,one_one(int)),pls)),pls)))))))))))),m))),t)),hAPP(int,int,times_times(int,hAPP(int,int,plus_plus(int,one_one(int)),hAPP(int,int,times_times(int,number_number_of(int,number_number_of(int,number_number_of(int,number_number_of(int,number_number_of(int,number_number_of(int,hAPP(int,int,plus_plus(int,one_one(int)),hAPP(int,int,plus_plus(int,one_one(int)),hAPP(int,int,plus_plus(int,pls),hAPP(int,int,plus_plus(int,one_one(int)),hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,one_one(int)),pls)),pls)))))))))))),m))),pls))),
    inference(forward_demodulation,[],[f8230,f4888]) ).

fof(f8230,plain,
    hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),hAPP(int,int,times_times(int,hAPP(int,int,plus_plus(int,one_one(int)),hAPP(int,int,times_times(int,number_number_of(int,number_number_of(int,number_number_of(int,number_number_of(int,number_number_of(int,number_number_of(int,hAPP(int,int,plus_plus(int,one_one(int)),hAPP(int,int,plus_plus(int,one_one(int)),hAPP(int,int,plus_plus(int,one_one(int)),hAPP(int,int,plus_plus(int,pls),hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,one_one(int)),pls)),pls)))))))))))),m))),t)),hAPP(int,int,times_times(int,hAPP(int,int,plus_plus(int,one_one(int)),hAPP(int,int,times_times(int,number_number_of(int,number_number_of(int,number_number_of(int,number_number_of(int,number_number_of(int,number_number_of(int,hAPP(int,int,plus_plus(int,one_one(int)),hAPP(int,int,plus_plus(int,one_one(int)),hAPP(int,int,plus_plus(int,one_one(int)),hAPP(int,int,plus_plus(int,pls),hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,one_one(int)),pls)),pls)))))))))))),m))),pls))),
    inference(forward_demodulation,[],[f8229,f7293]) ).

fof(f8229,plain,
    hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),hAPP(int,int,times_times(int,hAPP(int,int,plus_plus(int,one_one(int)),hAPP(int,int,times_times(int,number_number_of(int,number_number_of(int,number_number_of(int,number_number_of(int,number_number_of(int,hAPP(int,int,plus_plus(int,pls),hAPP(int,int,plus_plus(int,one_one(int)),hAPP(int,int,plus_plus(int,one_one(int)),hAPP(int,int,plus_plus(int,one_one(int)),hAPP(int,int,plus_plus(int,pls),hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,one_one(int)),pls)),pls)))))))))))),m))),t)),hAPP(int,int,times_times(int,hAPP(int,int,plus_plus(int,one_one(int)),hAPP(int,int,times_times(int,number_number_of(int,number_number_of(int,number_number_of(int,number_number_of(int,number_number_of(int,hAPP(int,int,plus_plus(int,pls),hAPP(int,int,plus_plus(int,one_one(int)),hAPP(int,int,plus_plus(int,one_one(int)),hAPP(int,int,plus_plus(int,one_one(int)),hAPP(int,int,plus_plus(int,pls),hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,one_one(int)),pls)),pls)))))))))))),m))),pls))),
    inference(forward_demodulation,[],[f8228,f4888]) ).

fof(f8228,plain,
    hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),hAPP(int,int,times_times(int,hAPP(int,int,plus_plus(int,one_one(int)),hAPP(int,int,times_times(int,number_number_of(int,number_number_of(int,number_number_of(int,number_number_of(int,number_number_of(int,hAPP(int,int,plus_plus(int,one_one(int)),hAPP(int,int,plus_plus(int,pls),hAPP(int,int,plus_plus(int,one_one(int)),hAPP(int,int,plus_plus(int,one_one(int)),hAPP(int,int,plus_plus(int,pls),hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,one_one(int)),pls)),pls)))))))))))),m))),t)),hAPP(int,int,times_times(int,hAPP(int,int,plus_plus(int,one_one(int)),hAPP(int,int,times_times(int,number_number_of(int,number_number_of(int,number_number_of(int,number_number_of(int,number_number_of(int,hAPP(int,int,plus_plus(int,one_one(int)),hAPP(int,int,plus_plus(int,pls),hAPP(int,int,plus_plus(int,one_one(int)),hAPP(int,int,plus_plus(int,one_one(int)),hAPP(int,int,plus_plus(int,pls),hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,one_one(int)),pls)),pls)))))))))))),m))),pls))),
    inference(forward_demodulation,[],[f8227,f4888]) ).

fof(f8227,plain,
    hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),hAPP(int,int,times_times(int,hAPP(int,int,plus_plus(int,one_one(int)),hAPP(int,int,times_times(int,number_number_of(int,number_number_of(int,number_number_of(int,number_number_of(int,number_number_of(int,hAPP(int,int,plus_plus(int,one_one(int)),hAPP(int,int,plus_plus(int,one_one(int)),hAPP(int,int,plus_plus(int,pls),hAPP(int,int,plus_plus(int,one_one(int)),hAPP(int,int,plus_plus(int,pls),hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,one_one(int)),pls)),pls)))))))))))),m))),t)),hAPP(int,int,times_times(int,hAPP(int,int,plus_plus(int,one_one(int)),hAPP(int,int,times_times(int,number_number_of(int,number_number_of(int,number_number_of(int,number_number_of(int,number_number_of(int,hAPP(int,int,plus_plus(int,one_one(int)),hAPP(int,int,plus_plus(int,one_one(int)),hAPP(int,int,plus_plus(int,pls),hAPP(int,int,plus_plus(int,one_one(int)),hAPP(int,int,plus_plus(int,pls),hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,one_one(int)),pls)),pls)))))))))))),m))),pls))),
    inference(forward_demodulation,[],[f8226,f4888]) ).

fof(f8226,plain,
    hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),hAPP(int,int,times_times(int,hAPP(int,int,plus_plus(int,one_one(int)),hAPP(int,int,times_times(int,number_number_of(int,number_number_of(int,number_number_of(int,number_number_of(int,number_number_of(int,hAPP(int,int,plus_plus(int,one_one(int)),hAPP(int,int,plus_plus(int,one_one(int)),hAPP(int,int,plus_plus(int,one_one(int)),hAPP(int,int,plus_plus(int,pls),hAPP(int,int,plus_plus(int,pls),hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,one_one(int)),pls)),pls)))))))))))),m))),t)),hAPP(int,int,times_times(int,hAPP(int,int,plus_plus(int,one_one(int)),hAPP(int,int,times_times(int,number_number_of(int,number_number_of(int,number_number_of(int,number_number_of(int,number_number_of(int,hAPP(int,int,plus_plus(int,one_one(int)),hAPP(int,int,plus_plus(int,one_one(int)),hAPP(int,int,plus_plus(int,one_one(int)),hAPP(int,int,plus_plus(int,pls),hAPP(int,int,plus_plus(int,pls),hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,one_one(int)),pls)),pls)))))))))))),m))),pls))),
    inference(forward_demodulation,[],[f8225,f5803]) ).

fof(f8225,plain,
    hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),hAPP(int,int,times_times(int,hAPP(int,int,plus_plus(int,one_one(int)),hAPP(int,int,times_times(int,number_number_of(int,number_number_of(int,number_number_of(int,number_number_of(int,number_number_of(int,hAPP(int,int,plus_plus(int,one_one(int)),hAPP(int,int,plus_plus(int,one_one(int)),hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,one_one(int)),pls)),hAPP(int,int,plus_plus(int,pls),hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,one_one(int)),pls)),pls))))))))))),m))),t)),hAPP(int,int,times_times(int,hAPP(int,int,plus_plus(int,one_one(int)),hAPP(int,int,times_times(int,number_number_of(int,number_number_of(int,number_number_of(int,number_number_of(int,number_number_of(int,hAPP(int,int,plus_plus(int,one_one(int)),hAPP(int,int,plus_plus(int,one_one(int)),hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,one_one(int)),pls)),hAPP(int,int,plus_plus(int,pls),hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,one_one(int)),pls)),pls))))))))))),m))),pls))),
    inference(forward_demodulation,[],[f8224,f5803]) ).

fof(f8224,plain,
    hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),hAPP(int,int,times_times(int,hAPP(int,int,plus_plus(int,one_one(int)),hAPP(int,int,times_times(int,number_number_of(int,number_number_of(int,number_number_of(int,number_number_of(int,number_number_of(int,hAPP(int,int,plus_plus(int,one_one(int)),hAPP(int,int,plus_plus(int,one_one(int)),hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,one_one(int)),pls)),pls)),hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,one_one(int)),pls)),pls)))))))))),m))),t)),hAPP(int,int,times_times(int,hAPP(int,int,plus_plus(int,one_one(int)),hAPP(int,int,times_times(int,number_number_of(int,number_number_of(int,number_number_of(int,number_number_of(int,number_number_of(int,hAPP(int,int,plus_plus(int,one_one(int)),hAPP(int,int,plus_plus(int,one_one(int)),hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,one_one(int)),pls)),pls)),hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,one_one(int)),pls)),pls)))))))))),m))),pls))),
    inference(forward_demodulation,[],[f8223,f7293]) ).

fof(f8223,plain,
    hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),hAPP(int,int,times_times(int,hAPP(int,int,plus_plus(int,one_one(int)),hAPP(int,int,times_times(int,number_number_of(int,number_number_of(int,number_number_of(int,number_number_of(int,hAPP(int,int,plus_plus(int,pls),hAPP(int,int,plus_plus(int,one_one(int)),hAPP(int,int,plus_plus(int,one_one(int)),hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,one_one(int)),pls)),pls)),hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,one_one(int)),pls)),pls)))))))))),m))),t)),hAPP(int,int,times_times(int,hAPP(int,int,plus_plus(int,one_one(int)),hAPP(int,int,times_times(int,number_number_of(int,number_number_of(int,number_number_of(int,number_number_of(int,hAPP(int,int,plus_plus(int,pls),hAPP(int,int,plus_plus(int,one_one(int)),hAPP(int,int,plus_plus(int,one_one(int)),hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,one_one(int)),pls)),pls)),hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,one_one(int)),pls)),pls)))))))))),m))),pls))),
    inference(forward_demodulation,[],[f8222,f4888]) ).

fof(f8222,plain,
    hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),hAPP(int,int,times_times(int,hAPP(int,int,plus_plus(int,one_one(int)),hAPP(int,int,times_times(int,number_number_of(int,number_number_of(int,number_number_of(int,number_number_of(int,hAPP(int,int,plus_plus(int,one_one(int)),hAPP(int,int,plus_plus(int,pls),hAPP(int,int,plus_plus(int,one_one(int)),hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,one_one(int)),pls)),pls)),hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,one_one(int)),pls)),pls)))))))))),m))),t)),hAPP(int,int,times_times(int,hAPP(int,int,plus_plus(int,one_one(int)),hAPP(int,int,times_times(int,number_number_of(int,number_number_of(int,number_number_of(int,number_number_of(int,hAPP(int,int,plus_plus(int,one_one(int)),hAPP(int,int,plus_plus(int,pls),hAPP(int,int,plus_plus(int,one_one(int)),hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,one_one(int)),pls)),pls)),hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,one_one(int)),pls)),pls)))))))))),m))),pls))),
    inference(forward_demodulation,[],[f8221,f4888]) ).

fof(f8221,plain,
    hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),hAPP(int,int,times_times(int,hAPP(int,int,plus_plus(int,one_one(int)),hAPP(int,int,times_times(int,number_number_of(int,number_number_of(int,number_number_of(int,number_number_of(int,hAPP(int,int,plus_plus(int,one_one(int)),hAPP(int,int,plus_plus(int,one_one(int)),hAPP(int,int,plus_plus(int,pls),hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,one_one(int)),pls)),pls)),hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,one_one(int)),pls)),pls)))))))))),m))),t)),hAPP(int,int,times_times(int,hAPP(int,int,plus_plus(int,one_one(int)),hAPP(int,int,times_times(int,number_number_of(int,number_number_of(int,number_number_of(int,number_number_of(int,hAPP(int,int,plus_plus(int,one_one(int)),hAPP(int,int,plus_plus(int,one_one(int)),hAPP(int,int,plus_plus(int,pls),hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,one_one(int)),pls)),pls)),hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,one_one(int)),pls)),pls)))))))))),m))),pls))),
    inference(forward_demodulation,[],[f8220,f7293]) ).

fof(f8220,plain,
    hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),hAPP(int,int,times_times(int,hAPP(int,int,plus_plus(int,one_one(int)),hAPP(int,int,times_times(int,number_number_of(int,number_number_of(int,number_number_of(int,hAPP(int,int,plus_plus(int,pls),hAPP(int,int,plus_plus(int,one_one(int)),hAPP(int,int,plus_plus(int,one_one(int)),hAPP(int,int,plus_plus(int,pls),hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,one_one(int)),pls)),pls)),hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,one_one(int)),pls)),pls)))))))))),m))),t)),hAPP(int,int,times_times(int,hAPP(int,int,plus_plus(int,one_one(int)),hAPP(int,int,times_times(int,number_number_of(int,number_number_of(int,number_number_of(int,hAPP(int,int,plus_plus(int,pls),hAPP(int,int,plus_plus(int,one_one(int)),hAPP(int,int,plus_plus(int,one_one(int)),hAPP(int,int,plus_plus(int,pls),hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,one_one(int)),pls)),pls)),hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,one_one(int)),pls)),pls)))))))))),m))),pls))),
    inference(forward_demodulation,[],[f8219,f4888]) ).

fof(f8219,plain,
    hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),hAPP(int,int,times_times(int,hAPP(int,int,plus_plus(int,one_one(int)),hAPP(int,int,times_times(int,number_number_of(int,number_number_of(int,number_number_of(int,hAPP(int,int,plus_plus(int,one_one(int)),hAPP(int,int,plus_plus(int,pls),hAPP(int,int,plus_plus(int,one_one(int)),hAPP(int,int,plus_plus(int,pls),hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,one_one(int)),pls)),pls)),hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,one_one(int)),pls)),pls)))))))))),m))),t)),hAPP(int,int,times_times(int,hAPP(int,int,plus_plus(int,one_one(int)),hAPP(int,int,times_times(int,number_number_of(int,number_number_of(int,number_number_of(int,hAPP(int,int,plus_plus(int,one_one(int)),hAPP(int,int,plus_plus(int,pls),hAPP(int,int,plus_plus(int,one_one(int)),hAPP(int,int,plus_plus(int,pls),hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,one_one(int)),pls)),pls)),hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,one_one(int)),pls)),pls)))))))))),m))),pls))),
    inference(forward_demodulation,[],[f8218,f4888]) ).

fof(f8218,plain,
    hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),hAPP(int,int,times_times(int,hAPP(int,int,plus_plus(int,one_one(int)),hAPP(int,int,times_times(int,number_number_of(int,number_number_of(int,number_number_of(int,hAPP(int,int,plus_plus(int,one_one(int)),hAPP(int,int,plus_plus(int,one_one(int)),hAPP(int,int,plus_plus(int,pls),hAPP(int,int,plus_plus(int,pls),hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,one_one(int)),pls)),pls)),hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,one_one(int)),pls)),pls)))))))))),m))),t)),hAPP(int,int,times_times(int,hAPP(int,int,plus_plus(int,one_one(int)),hAPP(int,int,times_times(int,number_number_of(int,number_number_of(int,number_number_of(int,hAPP(int,int,plus_plus(int,one_one(int)),hAPP(int,int,plus_plus(int,one_one(int)),hAPP(int,int,plus_plus(int,pls),hAPP(int,int,plus_plus(int,pls),hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,one_one(int)),pls)),pls)),hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,one_one(int)),pls)),pls)))))))))),m))),pls))),
    inference(forward_demodulation,[],[f8217,f5803]) ).

fof(f8217,plain,
    hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),hAPP(int,int,times_times(int,hAPP(int,int,plus_plus(int,one_one(int)),hAPP(int,int,times_times(int,number_number_of(int,number_number_of(int,number_number_of(int,hAPP(int,int,plus_plus(int,one_one(int)),hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,one_one(int)),pls)),hAPP(int,int,plus_plus(int,pls),hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,one_one(int)),pls)),pls)),hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,one_one(int)),pls)),pls))))))))),m))),t)),hAPP(int,int,times_times(int,hAPP(int,int,plus_plus(int,one_one(int)),hAPP(int,int,times_times(int,number_number_of(int,number_number_of(int,number_number_of(int,hAPP(int,int,plus_plus(int,one_one(int)),hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,one_one(int)),pls)),hAPP(int,int,plus_plus(int,pls),hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,one_one(int)),pls)),pls)),hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,one_one(int)),pls)),pls))))))))),m))),pls))),
    inference(forward_demodulation,[],[f8216,f5803]) ).

fof(f8216,plain,
    hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),hAPP(int,int,times_times(int,hAPP(int,int,plus_plus(int,one_one(int)),hAPP(int,int,times_times(int,number_number_of(int,number_number_of(int,number_number_of(int,hAPP(int,int,plus_plus(int,one_one(int)),hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,one_one(int)),pls)),pls)),hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,one_one(int)),pls)),pls)),hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,one_one(int)),pls)),pls)))))))),m))),t)),hAPP(int,int,times_times(int,hAPP(int,int,plus_plus(int,one_one(int)),hAPP(int,int,times_times(int,number_number_of(int,number_number_of(int,number_number_of(int,hAPP(int,int,plus_plus(int,one_one(int)),hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,one_one(int)),pls)),pls)),hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,one_one(int)),pls)),pls)),hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,one_one(int)),pls)),pls)))))))),m))),pls))),
    inference(forward_demodulation,[],[f8215,f7293]) ).

fof(f8215,plain,
    hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),hAPP(int,int,times_times(int,hAPP(int,int,plus_plus(int,one_one(int)),hAPP(int,int,times_times(int,number_number_of(int,number_number_of(int,hAPP(int,int,plus_plus(int,pls),hAPP(int,int,plus_plus(int,one_one(int)),hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,one_one(int)),pls)),pls)),hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,one_one(int)),pls)),pls)),hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,one_one(int)),pls)),pls)))))))),m))),t)),hAPP(int,int,times_times(int,hAPP(int,int,plus_plus(int,one_one(int)),hAPP(int,int,times_times(int,number_number_of(int,number_number_of(int,hAPP(int,int,plus_plus(int,pls),hAPP(int,int,plus_plus(int,one_one(int)),hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,one_one(int)),pls)),pls)),hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,one_one(int)),pls)),pls)),hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,one_one(int)),pls)),pls)))))))),m))),pls))),
    inference(forward_demodulation,[],[f8214,f4888]) ).

fof(f8214,plain,
    hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),hAPP(int,int,times_times(int,hAPP(int,int,plus_plus(int,one_one(int)),hAPP(int,int,times_times(int,number_number_of(int,number_number_of(int,hAPP(int,int,plus_plus(int,one_one(int)),hAPP(int,int,plus_plus(int,pls),hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,one_one(int)),pls)),pls)),hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,one_one(int)),pls)),pls)),hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,one_one(int)),pls)),pls)))))))),m))),t)),hAPP(int,int,times_times(int,hAPP(int,int,plus_plus(int,one_one(int)),hAPP(int,int,times_times(int,number_number_of(int,number_number_of(int,hAPP(int,int,plus_plus(int,one_one(int)),hAPP(int,int,plus_plus(int,pls),hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,one_one(int)),pls)),pls)),hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,one_one(int)),pls)),pls)),hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,one_one(int)),pls)),pls)))))))),m))),pls))),
    inference(forward_demodulation,[],[f8213,f7293]) ).

fof(f8213,plain,
    hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),hAPP(int,int,times_times(int,hAPP(int,int,plus_plus(int,one_one(int)),hAPP(int,int,times_times(int,number_number_of(int,hAPP(int,int,plus_plus(int,pls),hAPP(int,int,plus_plus(int,one_one(int)),hAPP(int,int,plus_plus(int,pls),hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,one_one(int)),pls)),pls)),hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,one_one(int)),pls)),pls)),hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,one_one(int)),pls)),pls)))))))),m))),t)),hAPP(int,int,times_times(int,hAPP(int,int,plus_plus(int,one_one(int)),hAPP(int,int,times_times(int,number_number_of(int,hAPP(int,int,plus_plus(int,pls),hAPP(int,int,plus_plus(int,one_one(int)),hAPP(int,int,plus_plus(int,pls),hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,one_one(int)),pls)),pls)),hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,one_one(int)),pls)),pls)),hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,one_one(int)),pls)),pls)))))))),m))),pls))),
    inference(forward_demodulation,[],[f8212,f4888]) ).

fof(f8212,plain,
    hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),hAPP(int,int,times_times(int,hAPP(int,int,plus_plus(int,one_one(int)),hAPP(int,int,times_times(int,number_number_of(int,hAPP(int,int,plus_plus(int,one_one(int)),hAPP(int,int,plus_plus(int,pls),hAPP(int,int,plus_plus(int,pls),hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,one_one(int)),pls)),pls)),hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,one_one(int)),pls)),pls)),hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,one_one(int)),pls)),pls)))))))),m))),t)),hAPP(int,int,times_times(int,hAPP(int,int,plus_plus(int,one_one(int)),hAPP(int,int,times_times(int,number_number_of(int,hAPP(int,int,plus_plus(int,one_one(int)),hAPP(int,int,plus_plus(int,pls),hAPP(int,int,plus_plus(int,pls),hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,one_one(int)),pls)),pls)),hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,one_one(int)),pls)),pls)),hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,one_one(int)),pls)),pls)))))))),m))),pls))),
    inference(forward_demodulation,[],[f8211,f5803]) ).

fof(f8211,plain,
    hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),hAPP(int,int,times_times(int,hAPP(int,int,plus_plus(int,one_one(int)),hAPP(int,int,times_times(int,number_number_of(int,hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,one_one(int)),pls)),hAPP(int,int,plus_plus(int,pls),hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,one_one(int)),pls)),pls)),hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,one_one(int)),pls)),pls)),hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,one_one(int)),pls)),pls))))))),m))),t)),hAPP(int,int,times_times(int,hAPP(int,int,plus_plus(int,one_one(int)),hAPP(int,int,times_times(int,number_number_of(int,hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,one_one(int)),pls)),hAPP(int,int,plus_plus(int,pls),hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,one_one(int)),pls)),pls)),hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,one_one(int)),pls)),pls)),hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,one_one(int)),pls)),pls))))))),m))),pls))),
    inference(forward_demodulation,[],[f8210,f5803]) ).

fof(f8210,plain,
    hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),hAPP(int,int,times_times(int,hAPP(int,int,plus_plus(int,one_one(int)),hAPP(int,int,times_times(int,number_number_of(int,hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,one_one(int)),pls)),pls)),hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,one_one(int)),pls)),pls)),hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,one_one(int)),pls)),pls)),hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,one_one(int)),pls)),pls)))))),m))),t)),hAPP(int,int,times_times(int,hAPP(int,int,plus_plus(int,one_one(int)),hAPP(int,int,times_times(int,number_number_of(int,hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,one_one(int)),pls)),pls)),hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,one_one(int)),pls)),pls)),hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,one_one(int)),pls)),pls)),hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,one_one(int)),pls)),pls)))))),m))),pls))),
    inference(forward_demodulation,[],[f8209,f5803]) ).

fof(f8209,plain,
    hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),hAPP(int,int,times_times(int,hAPP(int,int,plus_plus(int,one_one(int)),hAPP(int,int,times_times(int,number_number_of(int,hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,one_one(int)),pls)),pls)),hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,one_one(int)),pls)),pls))),hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,one_one(int)),pls)),pls)),hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,one_one(int)),pls)),pls))))),m))),t)),hAPP(int,int,times_times(int,hAPP(int,int,plus_plus(int,one_one(int)),hAPP(int,int,times_times(int,number_number_of(int,hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,one_one(int)),pls)),pls)),hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,one_one(int)),pls)),pls))),hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,one_one(int)),pls)),pls)),hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,one_one(int)),pls)),pls))))),m))),pls))),
    inference(forward_demodulation,[],[f8208,f5705]) ).

fof(f8208,plain,
    hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),hAPP(int,int,times_times(int,hAPP(int,int,plus_plus(int,hAPP(int,int,times_times(int,number_number_of(int,hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,one_one(int)),pls)),pls)),hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,one_one(int)),pls)),pls))),hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,one_one(int)),pls)),pls)),hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,one_one(int)),pls)),pls))))),m)),one_one(int))),t)),hAPP(int,int,times_times(int,hAPP(int,int,plus_plus(int,hAPP(int,int,times_times(int,number_number_of(int,hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,one_one(int)),pls)),pls)),hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,one_one(int)),pls)),pls))),hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,one_one(int)),pls)),pls)),hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,one_one(int)),pls)),pls))))),m)),one_one(int))),pls))),
    inference(forward_demodulation,[],[f6052,f5715]) ).

fof(f6052,plain,
    hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),hAPP(int,int,times_times(int,hAPP(int,int,plus_plus(int,hAPP(int,int,times_times(int,number_number_of(int,hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,one_one(int)),pls)),pls)),hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,one_one(int)),pls)),pls))),hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,one_one(int)),pls)),pls)),hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,one_one(int)),pls)),pls))))),m)),one_one(int))),t)),hAPP(int,int,times_times(int,hAPP(int,int,plus_plus(int,hAPP(int,int,times_times(int,number_number_of(int,hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,one_one(int)),pls)),pls)),hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,one_one(int)),pls)),pls))),hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,one_one(int)),pls)),pls)),hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,one_one(int)),pls)),pls))))),m)),one_one(int))),zero_zero(int)))),
    inference(definition_unfolding,[],[f4913,f4262,f4262,f5490,f4262,f4262,f5490]) ).

fof(f4913,plain,
    hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),hAPP(int,int,times_times(int,hAPP(int,int,plus_plus(int,hAPP(int,int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls))))),m)),one_one(int))),t)),hAPP(int,int,times_times(int,hAPP(int,int,plus_plus(int,hAPP(int,int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls))))),m)),one_one(int))),zero_zero(int)))),
    inference(cnf_transformation,[],[f100]) ).

fof(f100,axiom,
    hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),hAPP(int,int,times_times(int,hAPP(int,int,plus_plus(int,hAPP(int,int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls))))),m)),one_one(int))),t)),hAPP(int,int,times_times(int,hAPP(int,int,plus_plus(int,hAPP(int,int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls))))),m)),one_one(int))),zero_zero(int)))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_2__096_I4_A_K_Am_A_L_A1_J_A_K_At_A_060_A_I4_A_K_Am_A_L_A1_J_A_K_A0_096) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : NUM924+7 : TPTP v8.1.0. Released v5.3.0.
% 0.07/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.12/0.34  % Computer : n010.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit   : 300
% 0.12/0.34  % WCLimit    : 300
% 0.12/0.34  % DateTime   : Tue Aug 30 09:14:14 EDT 2022
% 0.12/0.34  % CPUTime    : 
% 0.72/0.58  % (25023)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/498Mi)
% 0.72/0.59  % (25015)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/68Mi)
% 0.72/0.60  % (25021)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/176Mi)
% 0.72/0.61  % (25007)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/51Mi)
% 0.72/0.61  % (25008)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/7Mi)
% 0.72/0.61  % (25008)Instruction limit reached!
% 0.72/0.61  % (25008)------------------------------
% 0.72/0.61  % (25008)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.72/0.61  % (25008)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.72/0.61  % (25008)Termination reason: Unknown
% 0.72/0.61  % (25008)Termination phase: Preprocessing 1
% 0.72/0.61  
% 0.72/0.61  % (25008)Memory used [KB]: 2686
% 0.72/0.61  % (25008)Time elapsed: 0.006 s
% 0.72/0.61  % (25008)Instructions burned: 7 (million)
% 0.72/0.61  % (25008)------------------------------
% 0.72/0.61  % (25008)------------------------------
% 0.72/0.61  % (25016)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/75Mi)
% 1.43/0.64  % (25029)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/439Mi)
% 1.43/0.64  % (25005)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/51Mi)
% 1.43/0.64  % (25011)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/50Mi)
% 1.43/0.64  % (25009)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/2Mi)
% 1.43/0.64  % (25004)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/51Mi)
% 1.43/0.64  % (25009)Instruction limit reached!
% 1.43/0.64  % (25009)------------------------------
% 1.43/0.64  % (25009)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.43/0.64  % (25009)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.43/0.64  % (25009)Termination reason: Unknown
% 1.43/0.64  % (25009)Termination phase: shuffling
% 1.43/0.64  
% 1.43/0.64  % (25009)Memory used [KB]: 2302
% 1.43/0.64  % (25009)Time elapsed: 0.002 s
% 1.43/0.64  % (25009)Instructions burned: 2 (million)
% 1.43/0.64  % (25009)------------------------------
% 1.43/0.64  % (25009)------------------------------
% 1.43/0.64  % (25010)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/51Mi)
% 1.43/0.65  % (25013)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/101Mi)
% 1.43/0.65  % (25022)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/138Mi)
% 1.43/0.65  % (25026)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/500Mi)
% 1.43/0.65  % (25025)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/482Mi)
% 1.43/0.65  % (25020)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/100Mi)
% 1.43/0.65  % (25014)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/99Mi)
% 1.43/0.66  % (25024)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/467Mi)
% 1.43/0.66  % (25018)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/59Mi)
% 1.43/0.66  % (25006)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/48Mi)
% 1.43/0.66  % (25017)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/99Mi)
% 1.43/0.66  % (25001)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/191324Mi)
% 1.43/0.66  % (25012)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/100Mi)
% 1.43/0.66  % (25003)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/37Mi)
% 1.43/0.66  % (25019)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/100Mi)
% 1.43/0.66  % (25028)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/177Mi)
% 1.43/0.66  % (25002)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/50Mi)
% 1.43/0.66  % (25030)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/355Mi)
% 1.43/0.67  % (25027)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/68Mi)
% 1.87/0.69  % (25016)Instruction limit reached!
% 1.87/0.69  % (25016)------------------------------
% 1.87/0.69  % (25016)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.87/0.69  % (25016)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.87/0.69  % (25016)Termination reason: Unknown
% 1.87/0.69  % (25016)Termination phase: Property scanning
% 1.87/0.69  
% 1.87/0.69  % (25016)Memory used [KB]: 4861
% 1.87/0.69  % (25016)Time elapsed: 0.078 s
% 1.87/0.69  % (25016)Instructions burned: 75 (million)
% 1.87/0.69  % (25016)------------------------------
% 1.87/0.69  % (25016)------------------------------
% 1.87/0.69  % (25007)Instruction limit reached!
% 1.87/0.69  % (25007)------------------------------
% 1.87/0.69  % (25007)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.87/0.69  % (25007)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.87/0.69  % (25007)Termination reason: Unknown
% 1.87/0.69  % (25007)Termination phase: Preprocessing 3
% 1.87/0.69  
% 1.87/0.69  % (25007)Memory used [KB]: 4733
% 1.87/0.69  % (25007)Time elapsed: 0.029 s
% 1.87/0.69  % (25007)Instructions burned: 51 (million)
% 1.87/0.69  % (25007)------------------------------
% 1.87/0.69  % (25007)------------------------------
% 1.87/0.71  % (25015)Instruction limit reached!
% 1.87/0.71  % (25015)------------------------------
% 1.87/0.71  % (25015)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.87/0.71  % (25015)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.87/0.71  % (25015)Termination reason: Unknown
% 1.87/0.71  % (25015)Termination phase: Property scanning
% 1.87/0.71  
% 1.87/0.71  % (25015)Memory used [KB]: 4861
% 1.87/0.71  % (25015)Time elapsed: 0.039 s
% 1.87/0.71  % (25015)Instructions burned: 70 (million)
% 1.87/0.71  % (25015)------------------------------
% 1.87/0.71  % (25015)------------------------------
% 1.87/0.72  % (25003)Instruction limit reached!
% 1.87/0.72  % (25003)------------------------------
% 1.87/0.72  % (25003)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.87/0.72  % (25003)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.87/0.72  % (25003)Termination reason: Unknown
% 1.87/0.72  % (25003)Termination phase: Preprocessing 2
% 1.87/0.72  
% 1.87/0.72  % (25003)Memory used [KB]: 3326
% 1.87/0.72  % (25003)Time elapsed: 0.021 s
% 1.87/0.72  % (25003)Instructions burned: 37 (million)
% 1.87/0.72  % (25003)------------------------------
% 1.87/0.72  % (25003)------------------------------
% 1.87/0.72  % (25005)Instruction limit reached!
% 1.87/0.72  % (25005)------------------------------
% 1.87/0.72  % (25005)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.87/0.72  % (25005)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.87/0.72  % (25005)Termination reason: Unknown
% 1.87/0.72  % (25005)Termination phase: Preprocessing 3
% 1.87/0.72  
% 1.87/0.72  % (25005)Memory used [KB]: 4349
% 1.87/0.72  % (25005)Time elapsed: 0.028 s
% 1.87/0.72  % (25005)Instructions burned: 52 (million)
% 1.87/0.72  % (25005)------------------------------
% 1.87/0.72  % (25005)------------------------------
% 1.87/0.72  % (25011)Instruction limit reached!
% 1.87/0.72  % (25011)------------------------------
% 1.87/0.72  % (25011)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.87/0.72  % (25011)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.87/0.72  % (25011)Termination reason: Unknown
% 1.87/0.72  % (25011)Termination phase: Clausification
% 1.87/0.72  
% 1.87/0.72  % (25011)Memory used [KB]: 4733
% 1.87/0.72  % (25011)Time elapsed: 0.026 s
% 1.87/0.72  % (25011)Instructions burned: 50 (million)
% 1.87/0.72  % (25011)------------------------------
% 1.87/0.72  % (25011)------------------------------
% 1.87/0.73  % (25004)Instruction limit reached!
% 1.87/0.73  % (25004)------------------------------
% 1.87/0.73  % (25004)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.87/0.73  % (25004)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.87/0.73  % (25004)Termination reason: Unknown
% 1.87/0.73  % (25004)Termination phase: Property scanning
% 1.87/0.73  
% 1.87/0.73  % (25004)Memory used [KB]: 4605
% 1.87/0.73  % (25004)Time elapsed: 0.027 s
% 1.87/0.73  % (25004)Instructions burned: 54 (million)
% 1.87/0.73  % (25004)------------------------------
% 1.87/0.73  % (25004)------------------------------
% 1.87/0.73  % (25031)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=388:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/388Mi)
% 1.87/0.74  % (25010)Instruction limit reached!
% 1.87/0.74  % (25010)------------------------------
% 1.87/0.74  % (25010)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.87/0.74  % (25010)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.87/0.74  % (25010)Termination reason: Unknown
% 1.87/0.74  % (25010)Termination phase: Property scanning
% 1.87/0.74  
% 1.87/0.74  % (25010)Memory used [KB]: 4861
% 1.87/0.74  % (25010)Time elapsed: 0.028 s
% 1.87/0.74  % (25010)Instructions burned: 53 (million)
% 1.87/0.74  % (25010)------------------------------
% 1.87/0.74  % (25010)------------------------------
% 1.87/0.74  % (25006)Instruction limit reached!
% 1.87/0.74  % (25006)------------------------------
% 1.87/0.74  % (25006)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.87/0.74  % (25006)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.87/0.74  % (25006)Termination reason: Unknown
% 1.87/0.74  % (25006)Termination phase: Preprocessing 3
% 1.87/0.74  
% 1.87/0.74  % (25006)Memory used [KB]: 4605
% 1.87/0.74  % (25006)Time elapsed: 0.026 s
% 1.87/0.74  % (25006)Instructions burned: 49 (million)
% 1.87/0.74  % (25006)------------------------------
% 1.87/0.74  % (25006)------------------------------
% 1.87/0.75  % (25002)Instruction limit reached!
% 1.87/0.75  % (25002)------------------------------
% 1.87/0.75  % (25002)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.87/0.75  % (25002)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.87/0.75  % (25002)Termination reason: Unknown
% 1.87/0.75  % (25002)Termination phase: Clausification
% 1.87/0.75  
% 1.87/0.75  % (25002)Memory used [KB]: 4733
% 1.87/0.75  % (25002)Time elapsed: 0.027 s
% 1.87/0.75  % (25002)Instructions burned: 50 (million)
% 1.87/0.75  % (25002)------------------------------
% 1.87/0.75  % (25002)------------------------------
% 2.37/0.77  % (25018)Instruction limit reached!
% 2.37/0.77  % (25018)------------------------------
% 2.37/0.77  % (25018)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.37/0.77  % (25018)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.37/0.77  % (25018)Termination reason: Unknown
% 2.37/0.77  % (25018)Termination phase: Property scanning
% 2.37/0.77  
% 2.37/0.77  % (25018)Memory used [KB]: 4861
% 2.37/0.77  % (25018)Time elapsed: 0.030 s
% 2.37/0.77  % (25018)Instructions burned: 59 (million)
% 2.37/0.77  % (25018)------------------------------
% 2.37/0.77  % (25018)------------------------------
% 2.37/0.77  % (25027)Instruction limit reached!
% 2.37/0.77  % (25027)------------------------------
% 2.37/0.77  % (25027)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.37/0.77  % (25027)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.37/0.77  % (25027)Termination reason: Unknown
% 2.37/0.77  % (25027)Termination phase: Property scanning
% 2.37/0.77  
% 2.37/0.77  % (25027)Memory used [KB]: 4861
% 2.37/0.77  % (25027)Time elapsed: 0.032 s
% 2.37/0.77  % (25027)Instructions burned: 70 (million)
% 2.37/0.77  % (25027)------------------------------
% 2.37/0.77  % (25027)------------------------------
% 2.37/0.78  % (25032)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=211:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/211Mi)
% 2.37/0.79  % (25014)Instruction limit reached!
% 2.37/0.79  % (25014)------------------------------
% 2.37/0.79  % (25014)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.37/0.79  % (25014)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.37/0.79  % (25014)Termination reason: Unknown
% 2.37/0.79  % (25014)Termination phase: Property scanning
% 2.37/0.79  
% 2.37/0.79  % (25014)Memory used [KB]: 4861
% 2.37/0.79  % (25014)Time elapsed: 0.042 s
% 2.37/0.79  % (25014)Instructions burned: 99 (million)
% 2.37/0.79  % (25014)------------------------------
% 2.37/0.79  % (25014)------------------------------
% 2.37/0.79  % (25017)Instruction limit reached!
% 2.37/0.79  % (25017)------------------------------
% 2.37/0.79  % (25017)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.37/0.79  % (25017)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.37/0.79  % (25017)Termination reason: Unknown
% 2.37/0.79  % (25017)Termination phase: Function definition elimination
% 2.37/0.79  
% 2.37/0.79  % (25017)Memory used [KB]: 4861
% 2.37/0.79  % (25017)Time elapsed: 0.043 s
% 2.37/0.79  % (25017)Instructions burned: 101 (million)
% 2.37/0.79  % (25017)------------------------------
% 2.37/0.79  % (25017)------------------------------
% 2.55/0.81  % (25013)Instruction limit reached!
% 2.55/0.81  % (25013)------------------------------
% 2.55/0.81  % (25013)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.55/0.81  % (25013)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.55/0.81  % (25013)Termination reason: Unknown
% 2.55/0.81  % (25013)Termination phase: Function definition elimination
% 2.55/0.81  
% 2.55/0.81  % (25013)Memory used [KB]: 4861
% 2.55/0.81  % (25013)Time elapsed: 0.042 s
% 2.55/0.81  % (25013)Instructions burned: 101 (million)
% 2.55/0.81  % (25013)------------------------------
% 2.55/0.81  % (25013)------------------------------
% 2.55/0.81  % (25019)Instruction limit reached!
% 2.55/0.81  % (25019)------------------------------
% 2.55/0.81  % (25019)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.55/0.81  % (25019)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.55/0.81  % (25019)Termination reason: Unknown
% 2.55/0.81  % (25019)Termination phase: Function definition elimination
% 2.55/0.81  
% 2.55/0.81  % (25019)Memory used [KB]: 4861
% 2.55/0.81  % (25019)Time elapsed: 0.044 s
% 2.55/0.81  % (25019)Instructions burned: 101 (million)
% 2.55/0.81  % (25019)------------------------------
% 2.55/0.81  % (25019)------------------------------
% 2.55/0.82  % (25020)Instruction limit reached!
% 2.55/0.82  % (25020)------------------------------
% 2.55/0.82  % (25020)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.55/0.82  % (25020)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.55/0.82  % (25020)Termination reason: Unknown
% 2.55/0.82  % (25020)Termination phase: Property scanning
% 2.55/0.82  
% 2.55/0.82  % (25020)Memory used [KB]: 4861
% 2.55/0.82  % (25020)Time elapsed: 0.045 s
% 2.55/0.82  % (25020)Instructions burned: 101 (million)
% 2.55/0.82  % (25020)------------------------------
% 2.55/0.82  % (25020)------------------------------
% 2.55/0.82  % (25012)Instruction limit reached!
% 2.55/0.82  % (25012)------------------------------
% 2.55/0.82  % (25012)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.55/0.82  % (25012)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.55/0.82  % (25012)Termination reason: Unknown
% 2.55/0.82  % (25012)Termination phase: Function definition elimination
% 2.55/0.82  
% 2.55/0.82  % (25012)Memory used [KB]: 4733
% 2.55/0.82  % (25012)Time elapsed: 0.043 s
% 2.55/0.82  % (25012)Instructions burned: 100 (million)
% 2.55/0.82  % (25012)------------------------------
% 2.55/0.82  % (25012)------------------------------
% 2.55/0.82  % (25033)dis+22_1:128_bsd=on:rp=on:slsq=on:slsqc=1:slsqr=1,6:sp=frequency:spb=goal:thsq=on:thsqc=16:thsqd=1:thsql=off:i=90:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/90Mi)
% 2.55/0.83  % (25021)Instruction limit reached!
% 2.55/0.83  % (25021)------------------------------
% 2.55/0.83  % (25021)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.55/0.83  % (25021)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.55/0.83  % (25021)Termination reason: Unknown
% 2.55/0.83  % (25021)Termination phase: Property scanning
% 2.55/0.83  
% 2.55/0.83  % (25021)Memory used [KB]: 5117
% 2.55/0.83  % (25021)Time elapsed: 0.073 s
% 2.55/0.83  % (25021)Instructions burned: 177 (million)
% 2.55/0.83  % (25021)------------------------------
% 2.55/0.83  % (25021)------------------------------
% 2.55/0.84  % (25034)ott+1_1:2_i=920:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/920Mi)
% 2.69/0.84  % (25022)Instruction limit reached!
% 2.69/0.84  % (25022)------------------------------
% 2.69/0.84  % (25022)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.69/0.85  % (25037)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=655:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/655Mi)
% 2.69/0.85  % (25022)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.69/0.85  % (25022)Termination reason: Unknown
% 2.69/0.85  % (25022)Termination phase: Property scanning
% 2.69/0.85  
% 2.69/0.85  % (25022)Memory used [KB]: 4989
% 2.69/0.85  % (25022)Time elapsed: 0.059 s
% 2.69/0.85  % (25022)Instructions burned: 138 (million)
% 2.69/0.85  % (25022)------------------------------
% 2.69/0.85  % (25022)------------------------------
% 2.69/0.85  % (25035)ott+1_1:7_bd=off:i=934:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/934Mi)
% 2.69/0.86  % (25036)ott+10_1:50_bsr=unit_only:drc=off:fd=preordered:sp=frequency:i=747:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/747Mi)
% 2.69/0.86  WARNING Broken Constraint: if sine_depth(2) has been set then sine_selection(off) is not equal to off
% 2.69/0.86  % (25038)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/68Mi)
% 2.69/0.87  % (25039)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=940:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/940Mi)
% 2.69/0.88  % (25040)ott+11_4:1_br=off:fde=none:s2a=on:sd=2:sp=frequency:urr=on:i=981:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/981Mi)
% 2.69/0.89  % (25041)dis+22_1:128_bsd=on:rp=on:slsq=on:slsqc=1:slsqr=1,6:sp=frequency:spb=goal:thsq=on:thsqc=16:thsqd=1:thsql=off:i=90:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/90Mi)
% 2.69/0.89  % (25028)Instruction limit reached!
% 2.69/0.89  % (25028)------------------------------
% 2.69/0.89  % (25028)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.69/0.89  % (25042)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=2016:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/2016Mi)
% 2.69/0.90  % (25043)dis+10_1:2_atotf=0.3:i=3735:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/3735Mi)
% 2.69/0.90  % (25044)ott+11_9:8_add=large:afp=10:amm=off:fsd=on:fsr=off:lma=on:nm=0:nwc=2.4:s2a=on:s2agt=10:sas=z3:sp=reverse_arity:tha=some:thi=overlap:i=4958:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/4958Mi)
% 2.69/0.90  % (25028)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.69/0.90  % (25028)Termination reason: Unknown
% 2.69/0.90  % (25028)Termination phase: Saturation
% 2.69/0.90  
% 2.69/0.90  % (25028)Memory used [KB]: 5373
% 2.69/0.91  % (25028)Time elapsed: 0.074 s
% 2.69/0.91  % (25028)Instructions burned: 178 (million)
% 2.69/0.91  % (25028)------------------------------
% 2.69/0.91  % (25028)------------------------------
% 2.69/0.92  % (25047)ott+3_1:1_atotf=0.2:fsr=off:kws=precedence:sp=weighted_frequency:spb=intro:tgt=ground:i=4931:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/4931Mi)
% 2.89/0.93  % (25045)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=4959:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/4959Mi)
% 2.89/0.94  % (25046)ott+10_1:1_kws=precedence:tgt=ground:i=4756:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/4756Mi)
% 2.89/0.94  % (25050)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=2134:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/2134Mi)
% 2.89/0.95  % (25048)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/68Mi)
% 2.89/0.97  % (25033)Instruction limit reached!
% 2.89/0.97  % (25033)------------------------------
% 2.89/0.97  % (25033)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.89/0.97  % (25033)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.89/0.97  % (25033)Termination reason: Unknown
% 2.89/0.97  % (25033)Termination phase: Property scanning
% 2.89/0.97  
% 2.89/0.97  % (25033)Memory used [KB]: 4861
% 2.89/0.97  % (25033)Time elapsed: 0.056 s
% 2.89/0.97  % (25033)Instructions burned: 90 (million)
% 2.89/0.97  % (25033)------------------------------
% 2.89/0.97  % (25033)------------------------------
% 2.89/0.97  % (25038)Instruction limit reached!
% 2.89/0.97  % (25038)------------------------------
% 2.89/0.97  % (25038)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.89/0.97  % (25038)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.89/0.97  % (25038)Termination reason: Unknown
% 2.89/0.97  % (25038)Termination phase: Property scanning
% 2.89/0.97  
% 2.89/0.97  % (25038)Memory used [KB]: 4861
% 2.89/0.97  % (25038)Time elapsed: 0.032 s
% 2.89/0.97  % (25038)Instructions burned: 70 (million)
% 2.89/0.97  % (25038)------------------------------
% 2.89/0.97  % (25038)------------------------------
% 2.89/0.98  % (25051)ott-1_1:1_sp=const_frequency:i=2891:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/2891Mi)
% 3.16/0.99  % (25049)ott+11_9:8_amm=off:bsd=on:etr=on:fsd=on:fsr=off:lma=on:newcnf=on:nm=0:nwc=3.0:s2a=on:s2agt=10:sas=z3:tha=some:i=1824:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/1824Mi)
% 3.16/0.99  % (25052)dis+2_1:64_add=large:bce=on:bd=off:i=4585:si=on:rawr=on:rtra=on_0 on theBenchmark for (2994ds/4585Mi)
% 3.16/1.02  % (25041)Instruction limit reached!
% 3.16/1.02  % (25041)------------------------------
% 3.16/1.02  % (25041)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.16/1.02  % (25041)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.16/1.02  % (25041)Termination reason: Unknown
% 3.16/1.02  % (25041)Termination phase: Property scanning
% 3.16/1.02  
% 3.16/1.03  % (25041)Memory used [KB]: 4861
% 3.16/1.03  % (25041)Time elapsed: 0.046 s
% 3.16/1.03  % (25041)Instructions burned: 91 (million)
% 3.16/1.03  % (25041)------------------------------
% 3.16/1.03  % (25041)------------------------------
% 3.16/1.05  % (25053)dis+22_1:128_bsd=on:rp=on:slsq=on:slsqc=1:slsqr=1,6:sp=frequency:spb=goal:thsq=on:thsqc=16:thsqd=1:thsql=off:i=90:si=on:rawr=on:rtra=on_0 on theBenchmark for (2994ds/90Mi)
% 3.36/1.06  % (25048)Instruction limit reached!
% 3.36/1.06  % (25048)------------------------------
% 3.36/1.06  % (25048)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.36/1.06  % (25048)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.36/1.06  % (25048)Termination reason: Unknown
% 3.36/1.06  % (25048)Termination phase: Property scanning
% 3.36/1.06  
% 3.36/1.06  % (25048)Memory used [KB]: 4861
% 3.36/1.06  % (25048)Time elapsed: 0.032 s
% 3.36/1.06  % (25048)Instructions burned: 71 (million)
% 3.36/1.06  % (25048)------------------------------
% 3.36/1.06  % (25048)------------------------------
% 3.36/1.08  % (25032)Instruction limit reached!
% 3.36/1.08  % (25032)------------------------------
% 3.36/1.08  % (25032)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.36/1.08  % (25032)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.36/1.08  % (25032)Termination reason: Unknown
% 3.36/1.08  % (25032)Termination phase: Saturation
% 3.36/1.08  
% 3.36/1.08  % (25032)Memory used [KB]: 5756
% 3.36/1.08  % (25032)Time elapsed: 0.084 s
% 3.36/1.08  % (25032)Instructions burned: 211 (million)
% 3.36/1.08  % (25032)------------------------------
% 3.36/1.08  % (25032)------------------------------
% 5.00/1.10  % (25054)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=2016:si=on:rawr=on:rtra=on_0 on theBenchmark for (2993ds/2016Mi)
% 5.00/1.11  % (25055)dis+10_1:2_atotf=0.3:i=8004:si=on:rawr=on:rtra=on_0 on theBenchmark for (2993ds/8004Mi)
% 5.58/1.16  % (25056)ott+11_9:8_add=large:afp=10:amm=off:fsd=on:fsr=off:lma=on:nm=0:nwc=2.4:s2a=on:s2agt=10:sas=z3:sp=reverse_arity:tha=some:thi=overlap:i=9965:si=on:rawr=on:rtra=on_0 on theBenchmark for (2993ds/9965Mi)
% 5.58/1.18  % (25030)Instruction limit reached!
% 5.58/1.18  % (25030)------------------------------
% 5.58/1.18  % (25030)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 5.58/1.18  % (25030)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 5.58/1.18  % (25030)Termination reason: Unknown
% 5.58/1.18  % (25030)Termination phase: Saturation
% 5.58/1.18  
% 5.58/1.18  % (25030)Memory used [KB]: 11257
% 5.58/1.18  % (25030)Time elapsed: 0.169 s
% 5.58/1.18  % (25030)Instructions burned: 357 (million)
% 5.58/1.18  % (25030)------------------------------
% 5.58/1.18  % (25030)------------------------------
% 5.58/1.19  % (25053)Instruction limit reached!
% 5.58/1.19  % (25053)------------------------------
% 5.58/1.19  % (25053)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 5.58/1.19  % (25053)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 5.58/1.19  % (25053)Termination reason: Unknown
% 5.58/1.19  % (25053)Termination phase: Property scanning
% 5.58/1.19  
% 5.58/1.19  % (25053)Memory used [KB]: 4861
% 5.58/1.19  % (25053)Time elapsed: 0.039 s
% 5.58/1.19  % (25053)Instructions burned: 91 (million)
% 5.58/1.19  % (25053)------------------------------
% 5.58/1.19  % (25053)------------------------------
% 5.58/1.19  % (25057)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=9877:si=on:rawr=on:rtra=on_0 on theBenchmark for (2992ds/9877Mi)
% 5.58/1.20  % (25023)Instruction limit reached!
% 5.58/1.20  % (25023)------------------------------
% 5.58/1.20  % (25023)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 5.58/1.20  % (25023)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 5.58/1.20  % (25023)Termination reason: Unknown
% 5.58/1.20  % (25023)Termination phase: Saturation
% 5.58/1.20  
% 5.58/1.20  % (25023)Memory used [KB]: 7164
% 5.58/1.20  % (25023)Time elapsed: 0.685 s
% 5.58/1.20  % (25023)Instructions burned: 498 (million)
% 5.58/1.20  % (25023)------------------------------
% 5.58/1.20  % (25023)------------------------------
% 5.58/1.21  % (25058)ins+10_1:16_bce=on:fde=unused:igpr=on:igs=35:igwr=on:sp=const_frequency:tgt=full:to=lpo:i=9902:si=on:rawr=on:rtra=on_0 on theBenchmark for (2992ds/9902Mi)
% 5.58/1.22  % (25024)Instruction limit reached!
% 5.58/1.22  % (25024)------------------------------
% 5.58/1.22  % (25024)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 5.58/1.22  % (25024)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 5.58/1.22  % (25024)Termination reason: Unknown
% 5.58/1.22  % (25024)Termination phase: Saturation
% 5.58/1.22  
% 5.58/1.22  % (25024)Memory used [KB]: 11001
% 5.58/1.22  % (25024)Time elapsed: 0.172 s
% 5.58/1.22  % (25024)Instructions burned: 467 (million)
% 5.58/1.22  % (25024)------------------------------
% 5.58/1.22  % (25024)------------------------------
% 6.14/1.26  % (25029)Instruction limit reached!
% 6.14/1.26  % (25029)------------------------------
% 6.14/1.26  % (25029)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 6.14/1.26  % (25029)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 6.14/1.26  % (25029)Termination reason: Unknown
% 6.14/1.26  % (25029)Termination phase: Saturation
% 6.14/1.26  
% 6.14/1.26  % (25029)Memory used [KB]: 11641
% 6.14/1.26  % (25029)Time elapsed: 0.187 s
% 6.14/1.26  % (25029)Instructions burned: 440 (million)
% 6.14/1.26  % (25029)------------------------------
% 6.14/1.26  % (25029)------------------------------
% 6.42/1.27  % (25031)Instruction limit reached!
% 6.42/1.27  % (25031)------------------------------
% 6.42/1.27  % (25031)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 6.42/1.27  % (25031)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 6.42/1.27  % (25031)Termination reason: Unknown
% 6.42/1.27  % (25031)Termination phase: Saturation
% 6.42/1.27  
% 6.42/1.27  % (25031)Memory used [KB]: 11641
% 6.42/1.27  % (25031)Time elapsed: 0.566 s
% 6.42/1.27  % (25031)Instructions burned: 388 (million)
% 6.42/1.27  % (25031)------------------------------
% 6.42/1.27  % (25031)------------------------------
% 6.42/1.30  % (25026)Instruction limit reached!
% 6.42/1.30  % (25026)------------------------------
% 6.42/1.30  % (25026)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 6.42/1.30  % (25026)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 6.42/1.30  % (25026)Termination reason: Unknown
% 6.42/1.30  % (25026)Termination phase: Saturation
% 6.42/1.30  
% 6.42/1.30  % (25026)Memory used [KB]: 11641
% 6.42/1.30  % (25026)Time elapsed: 0.190 s
% 6.42/1.30  % (25026)Instructions burned: 500 (million)
% 6.42/1.30  % (25026)------------------------------
% 6.42/1.30  % (25026)------------------------------
% 6.42/1.32  % (25059)ott+11_9:8_amm=off:bsd=on:etr=on:fsd=on:fsr=off:lma=on:newcnf=on:nm=0:nwc=3.0:s2a=on:s2agt=10:sas=z3:tha=some:i=1824:si=on:rawr=on:rtra=on_0 on theBenchmark for (2991ds/1824Mi)
% 6.42/1.33  % (25060)dis+2_1:64_add=large:bce=on:bd=off:i=9989:si=on:rawr=on:rtra=on_0 on theBenchmark for (2991ds/9989Mi)
% 6.82/1.34  % (25061)ott-11_1:32_i=9707:si=on:rawr=on:rtra=on_0 on theBenchmark for (2991ds/9707Mi)
% 6.82/1.36  % (25062)dis+22_1:128_bsd=on:rp=on:slsq=on:slsqc=1:slsqr=1,6:sp=frequency:spb=goal:thsq=on:thsqc=16:thsqd=1:thsql=off:i=90:si=on:rawr=on:rtra=on_0 on theBenchmark for (2991ds/90Mi)
% 7.01/1.39  % (25025)Instruction limit reached!
% 7.01/1.39  % (25025)------------------------------
% 7.01/1.39  % (25025)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 7.01/1.39  % (25025)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 7.01/1.39  % (25025)Termination reason: Unknown
% 7.01/1.39  % (25025)Termination phase: Saturation
% 7.01/1.39  
% 7.01/1.39  % (25025)Memory used [KB]: 12025
% 7.01/1.39  % (25025)Time elapsed: 0.212 s
% 7.01/1.39  % (25025)Instructions burned: 483 (million)
% 7.01/1.39  % (25025)------------------------------
% 7.01/1.39  % (25025)------------------------------
% 7.01/1.40  % (25063)ott+3_1:1_abs=on:anc=none:bs=on:fsr=off:spb=goal_then_units:i=44001:si=on:rawr=on:rtra=on_0 on theBenchmark for (2990ds/44001Mi)
% 7.01/1.40  % (25064)ott+11_9:8_add=large:afp=10:amm=off:fsd=on:fsr=off:lma=on:nm=0:nwc=2.4:s2a=on:s2agt=10:sas=z3:sp=reverse_arity:tha=some:thi=overlap:i=4958:si=on:rawr=on:rtra=on_0 on theBenchmark for (2990ds/4958Mi)
% 7.36/1.45  % (25065)ott+1_27:428_av=off:awrs=converge:awrsf=8:bsr=unit_only:drc=off:fd=preordered:newcnf=on:nwc=1.5:skr=on:slsq=on:slsqc=2:slsql=off:slsqr=1,4:sp=reverse_frequency:uwa=one_side_constant:i=35256:si=on:rawr=on:rtra=on_0 on theBenchmark for (2990ds/35256Mi)
% 7.56/1.49  % (25062)Instruction limit reached!
% 7.56/1.49  % (25062)------------------------------
% 7.56/1.49  % (25062)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 7.56/1.49  % (25062)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 7.56/1.49  % (25062)Termination reason: Unknown
% 7.56/1.49  % (25062)Termination phase: Property scanning
% 7.56/1.49  
% 7.56/1.49  % (25062)Memory used [KB]: 4861
% 7.56/1.49  % (25062)Time elapsed: 0.039 s
% 7.56/1.49  % (25062)Instructions burned: 91 (million)
% 7.56/1.49  % (25062)------------------------------
% 7.56/1.49  % (25062)------------------------------
% 8.00/1.53  % (25066)dis+1002_1:1_fde=unused:nwc=10.0:s2a=on:s2at=3.0:sac=on:i=32293:si=on:rawr=on:rtra=on_0 on theBenchmark for (2989ds/32293Mi)
% 8.17/1.63  % (25037)Instruction limit reached!
% 8.17/1.63  % (25037)------------------------------
% 8.17/1.63  % (25037)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 8.17/1.63  % (25037)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 8.17/1.63  % (25037)Termination reason: Unknown
% 8.17/1.63  % (25037)Termination phase: Saturation
% 8.17/1.63  
% 8.17/1.63  % (25037)Memory used [KB]: 7291
% 8.17/1.63  % (25037)Time elapsed: 0.863 s
% 8.17/1.63  % (25037)Instructions burned: 657 (million)
% 8.17/1.63  % (25037)------------------------------
% 8.17/1.63  % (25037)------------------------------
% 8.17/1.63  % (25067)ott+21_1:28_afr=on:anc=all_dependent:bs=on:bsr=unit_only:nicw=on:sp=const_frequency:uhcvi=on:i=37001:si=on:rawr=on:rtra=on_0 on theBenchmark for (2988ds/37001Mi)
% 10.38/1.78  % (25068)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=10187:si=on:rawr=on:rtra=on_0 on theBenchmark for (2987ds/10187Mi)
% 12.75/2.07  % (25036)Instruction limit reached!
% 12.75/2.07  % (25036)------------------------------
% 12.75/2.07  % (25036)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 12.75/2.07  % (25036)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 12.75/2.07  % (25036)Termination reason: Unknown
% 12.75/2.07  % (25036)Termination phase: Saturation
% 12.75/2.07  
% 12.75/2.07  % (25036)Memory used [KB]: 14200
% 12.75/2.07  % (25036)Time elapsed: 1.325 s
% 12.75/2.07  % (25036)Instructions burned: 747 (million)
% 12.75/2.07  % (25036)------------------------------
% 12.75/2.07  % (25036)------------------------------
% 12.75/2.08  % (25047)First to succeed.
% 13.16/2.13  % (25034)Instruction limit reached!
% 13.16/2.13  % (25034)------------------------------
% 13.16/2.13  % (25034)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 13.16/2.13  % (25034)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 13.16/2.13  % (25034)Termination reason: Unknown
% 13.16/2.13  % (25034)Termination phase: Saturation
% 13.16/2.13  
% 13.16/2.13  % (25034)Memory used [KB]: 14200
% 13.16/2.13  % (25034)Time elapsed: 0.471 s
% 13.16/2.13  % (25034)Instructions burned: 922 (million)
% 13.16/2.13  % (25034)------------------------------
% 13.16/2.13  % (25034)------------------------------
% 13.16/2.13  % (25047)Refutation found. Thanks to Tanya!
% 13.16/2.13  % SZS status Theorem for theBenchmark
% 13.16/2.13  % SZS output start Proof for theBenchmark
% See solution above
% 13.16/2.14  % (25047)------------------------------
% 13.16/2.14  % (25047)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 13.16/2.14  % (25047)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 13.16/2.14  % (25047)Termination reason: Refutation
% 13.16/2.14  
% 13.16/2.14  % (25047)Memory used [KB]: 14456
% 13.16/2.14  % (25047)Time elapsed: 1.263 s
% 13.16/2.14  % (25047)Instructions burned: 866 (million)
% 13.16/2.14  % (25047)------------------------------
% 13.16/2.14  % (25047)------------------------------
% 13.16/2.14  % (25000)Success in time 1.797 s
%------------------------------------------------------------------------------