TSTP Solution File: NUM926_2 by iProver---3.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.8
% Problem  : NUM926_2 : TPTP v8.1.2. Released v5.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n011.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 : Thu Aug 31 11:33:46 EDT 2023

% Result   : Theorem 7.84s 1.66s
% Output   : CNFRefutation 7.84s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   15
%            Number of leaves      :   25
% Syntax   : Number of formulae    :  132 (  71 unt;   0 typ;   0 def)
%            Number of atoms       :  908 (  99 equ)
%            Maximal formula atoms :    4 (   6 avg)
%            Number of connectives :  137 (  64   ~;  60   |;   3   &)
%                                         (   6 <=>;   4  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   3 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of FOOLs       :  703 ( 703 fml;   0 var)
%            Number of types       :    0 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of predicates  :   27 (  25 usr;  13 prp; 0-2 aty)
%            Number of functors    :    0 (   0 usr;   0 con; --- aty)
%            Number of variables   :  236 (   4 sgn; 138   !;  16   ?; 154   :)

% Comments : 
%------------------------------------------------------------------------------
tff(f1,axiom,
    ord_less_eq_int(one_one_int,t),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_0_tpos) ).

tff(f2,axiom,
    ( ( one_one_int = t )
   => ? [X0: int,X1: int] : ( plus_plus_int(power_power_int(X0,number_number_of_nat(bit0(bit1(pls)))),power_power_int(X1,number_number_of_nat(bit0(bit1(pls))))) = plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),one_one_int) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1__096t_A_061_A1_A_061_061_062_AEX_Ax_Ay_O_Ax_A_094_A2_A_L_Ay_A_094_A2_A_06) ).

tff(f3,axiom,
    ( ord_less_int(one_one_int,t)
   => ? [X0: int,X1: int] : ( plus_plus_int(power_power_int(X0,number_number_of_nat(bit0(bit1(pls)))),power_power_int(X1,number_number_of_nat(bit0(bit1(pls))))) = plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),one_one_int) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_2__0961_A_060_At_A_061_061_062_AEX_Ax_Ay_O_Ax_A_094_A2_A_L_Ay_A_094_A2_A_06) ).

tff(f39,axiom,
    ! [X18: int,X19: int] :
      ( ord_less_int(X19,X18)
      | ( X18 = X19 )
      | ord_less_int(X18,X19) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_38_zless__linear) ).

tff(f51,axiom,
    ! [X27: int,X17: int] :
      ( ord_less_eq_int(number_number_of_int(X27),number_number_of_int(X17))
    <=> ~ ord_less_int(number_number_of_int(X17),number_number_of_int(X27)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_50_le__number__of__eq__not__less) ).

tff(f74,axiom,
    ! [X35: int,X36: int] :
      ( ord_less_int(number_number_of_int(X35),number_number_of_int(X36))
    <=> ord_less_int(X35,X36) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_73_less__number__of__int__code) ).

tff(f75,axiom,
    ! [X35: int,X36: int] :
      ( ord_less_eq_int(number_number_of_int(X35),number_number_of_int(X36))
    <=> ord_less_eq_int(X35,X36) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_74_less__eq__number__of__int__code) ).

tff(f104,axiom,
    ! [X54: real,X55: real,X56: real] : ( times_times_real(times_times_real(X54,X55),X56) = times_times_real(X54,times_times_real(X55,X56)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_103_comm__semiring__1__class_Onormalizing__semiring__rules_I17_J) ).

tff(f105,axiom,
    ! [X54: nat,X55: nat,X56: nat] : ( times_times_nat(times_times_nat(X54,X55),X56) = times_times_nat(X54,times_times_nat(X55,X56)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_104_comm__semiring__1__class_Onormalizing__semiring__rules_I17_J) ).

tff(f106,axiom,
    ! [X54: int,X55: int,X56: int] : ( times_times_int(times_times_int(X54,X55),X56) = times_times_int(X54,times_times_int(X55,X56)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_105_comm__semiring__1__class_Onormalizing__semiring__rules_I17_J) ).

tff(f113,axiom,
    ! [X63: real,X64: real] : ( times_times_real(X63,X64) = times_times_real(X64,X63) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_112_comm__semiring__1__class_Onormalizing__semiring__rules_I7_J) ).

tff(f114,axiom,
    ! [X63: nat,X64: nat] : ( times_times_nat(X63,X64) = times_times_nat(X64,X63) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_113_comm__semiring__1__class_Onormalizing__semiring__rules_I7_J) ).

tff(f115,axiom,
    ! [X63: int,X64: int] : ( times_times_int(X63,X64) = times_times_int(X64,X63) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_114_comm__semiring__1__class_Onormalizing__semiring__rules_I7_J) ).

tff(f122,axiom,
    ! [X72: real,X73: real,X74: real] : ( plus_plus_real(plus_plus_real(X72,X73),X74) = plus_plus_real(X72,plus_plus_real(X73,X74)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_121_comm__semiring__1__class_Onormalizing__semiring__rules_I21_J) ).

tff(f123,axiom,
    ! [X72: nat,X73: nat,X74: nat] : ( plus_plus_nat(plus_plus_nat(X72,X73),X74) = plus_plus_nat(X72,plus_plus_nat(X73,X74)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_122_comm__semiring__1__class_Onormalizing__semiring__rules_I21_J) ).

tff(f124,axiom,
    ! [X72: int,X73: int,X74: int] : ( plus_plus_int(plus_plus_int(X72,X73),X74) = plus_plus_int(X72,plus_plus_int(X73,X74)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_123_comm__semiring__1__class_Onormalizing__semiring__rules_I21_J) ).

tff(f131,axiom,
    ! [X81: real,X82: real] : ( plus_plus_real(X81,X82) = plus_plus_real(X82,X81) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_130_comm__semiring__1__class_Onormalizing__semiring__rules_I24_J) ).

tff(f132,axiom,
    ! [X81: nat,X82: nat] : ( plus_plus_nat(X81,X82) = plus_plus_nat(X82,X81) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_131_comm__semiring__1__class_Onormalizing__semiring__rules_I24_J) ).

tff(f133,axiom,
    ! [X81: int,X82: int] : ( plus_plus_int(X81,X82) = plus_plus_int(X82,X81) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_132_comm__semiring__1__class_Onormalizing__semiring__rules_I24_J) ).

tff(f205,axiom,
    ! [X20: int] : ( bit0(X20) = plus_plus_int(X20,X20) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_204_Bit0__def) ).

tff(f252,axiom,
    ! [X20: int] : ( bit1(X20) = plus_plus_int(plus_plus_int(one_one_int,X20),X20) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_251_Bit1__def) ).

tff(f357,axiom,
    pls = zero_zero_int,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_356_Pls__def) ).

tff(f699,conjecture,
    ? [X0: int,X1: int] : ( plus_plus_int(power_power_int(X0,number_number_of_nat(bit0(bit1(pls)))),power_power_int(X1,number_number_of_nat(bit0(bit1(pls))))) = plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),one_one_int) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0) ).

tff(f700,negated_conjecture,
    ~ ? [X0: int,X1: int] : ( plus_plus_int(power_power_int(X0,number_number_of_nat(bit0(bit1(pls)))),power_power_int(X1,number_number_of_nat(bit0(bit1(pls))))) = plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),one_one_int) ),
    inference(negated_conjecture,[],[f699]) ).

tff(f727,plain,
    ! [X0: int,X1: int] :
      ( ord_less_int(X1,X0)
      | ( X0 = X1 )
      | ord_less_int(X0,X1) ),
    inference(rectify,[],[f39]) ).

tff(f739,plain,
    ! [X0: int,X1: int] :
      ( ord_less_eq_int(number_number_of_int(X0),number_number_of_int(X1))
    <=> ~ ord_less_int(number_number_of_int(X1),number_number_of_int(X0)) ),
    inference(rectify,[],[f51]) ).

tff(f759,plain,
    ! [X0: int,X1: int] :
      ( ord_less_int(number_number_of_int(X0),number_number_of_int(X1))
    <=> ord_less_int(X0,X1) ),
    inference(rectify,[],[f74]) ).

tff(f760,plain,
    ! [X0: int,X1: int] :
      ( ord_less_eq_int(number_number_of_int(X0),number_number_of_int(X1))
    <=> ord_less_eq_int(X0,X1) ),
    inference(rectify,[],[f75]) ).

tff(f786,plain,
    ! [X0: real,X1: real,X2: real] : ( times_times_real(times_times_real(X0,X1),X2) = times_times_real(X0,times_times_real(X1,X2)) ),
    inference(rectify,[],[f104]) ).

tff(f787,plain,
    ! [X0: nat,X1: nat,X2: nat] : ( times_times_nat(times_times_nat(X0,X1),X2) = times_times_nat(X0,times_times_nat(X1,X2)) ),
    inference(rectify,[],[f105]) ).

tff(f788,plain,
    ! [X0: int,X1: int,X2: int] : ( times_times_int(times_times_int(X0,X1),X2) = times_times_int(X0,times_times_int(X1,X2)) ),
    inference(rectify,[],[f106]) ).

tff(f795,plain,
    ! [X0: real,X1: real] : ( times_times_real(X0,X1) = times_times_real(X1,X0) ),
    inference(rectify,[],[f113]) ).

tff(f796,plain,
    ! [X0: nat,X1: nat] : ( times_times_nat(X0,X1) = times_times_nat(X1,X0) ),
    inference(rectify,[],[f114]) ).

tff(f797,plain,
    ! [X0: int,X1: int] : ( times_times_int(X1,X0) = times_times_int(X0,X1) ),
    inference(rectify,[],[f115]) ).

tff(f804,plain,
    ! [X0: real,X1: real,X2: real] : ( plus_plus_real(plus_plus_real(X0,X1),X2) = plus_plus_real(X0,plus_plus_real(X1,X2)) ),
    inference(rectify,[],[f122]) ).

tff(f805,plain,
    ! [X0: nat,X1: nat,X2: nat] : ( plus_plus_nat(plus_plus_nat(X0,X1),X2) = plus_plus_nat(X0,plus_plus_nat(X1,X2)) ),
    inference(rectify,[],[f123]) ).

tff(f806,plain,
    ! [X0: int,X1: int,X2: int] : ( plus_plus_int(plus_plus_int(X0,X1),X2) = plus_plus_int(X0,plus_plus_int(X1,X2)) ),
    inference(rectify,[],[f124]) ).

tff(f813,plain,
    ! [X0: real,X1: real] : ( plus_plus_real(X0,X1) = plus_plus_real(X1,X0) ),
    inference(rectify,[],[f131]) ).

tff(f814,plain,
    ! [X0: nat,X1: nat] : ( plus_plus_nat(X0,X1) = plus_plus_nat(X1,X0) ),
    inference(rectify,[],[f132]) ).

tff(f815,plain,
    ! [X0: int,X1: int] : ( plus_plus_int(X0,X1) = plus_plus_int(X1,X0) ),
    inference(rectify,[],[f133]) ).

tff(f886,plain,
    ! [X0: int] : ( bit0(X0) = plus_plus_int(X0,X0) ),
    inference(rectify,[],[f205]) ).

tff(f933,plain,
    ! [X0: int] : ( bit1(X0) = plus_plus_int(plus_plus_int(one_one_int,X0),X0) ),
    inference(rectify,[],[f252]) ).

tff(f1322,plain,
    ( ? [X0: int,X1: int] : ( plus_plus_int(power_power_int(X0,number_number_of_nat(bit0(bit1(pls)))),power_power_int(X1,number_number_of_nat(bit0(bit1(pls))))) = plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),one_one_int) )
    | ( one_one_int != t ) ),
    inference(ennf_transformation,[],[f2]) ).

tff(f1323,plain,
    ( ? [X0: int,X1: int] : ( plus_plus_int(power_power_int(X0,number_number_of_nat(bit0(bit1(pls)))),power_power_int(X1,number_number_of_nat(bit0(bit1(pls))))) = plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),one_one_int) )
    | ~ ord_less_int(one_one_int,t) ),
    inference(ennf_transformation,[],[f3]) ).

tff(f1667,plain,
    ! [X0: int,X1: int] : ( plus_plus_int(power_power_int(X0,number_number_of_nat(bit0(bit1(pls)))),power_power_int(X1,number_number_of_nat(bit0(bit1(pls))))) != plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),one_one_int) ),
    inference(ennf_transformation,[],[f700]) ).

tff(f1668,plain,
    ( ? [X0: int,X1: int] : ( plus_plus_int(power_power_int(X0,number_number_of_nat(bit0(bit1(pls)))),power_power_int(X1,number_number_of_nat(bit0(bit1(pls))))) = plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),one_one_int) )
   => ( plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),one_one_int) = plus_plus_int(power_power_int(sK0,number_number_of_nat(bit0(bit1(pls)))),power_power_int(sK1,number_number_of_nat(bit0(bit1(pls))))) ) ),
    introduced(choice_axiom,[]) ).

tff(f1669,plain,
    ( ( plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),one_one_int) = plus_plus_int(power_power_int(sK0,number_number_of_nat(bit0(bit1(pls)))),power_power_int(sK1,number_number_of_nat(bit0(bit1(pls))))) )
    | ( one_one_int != t ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f1322,f1668]) ).

tff(f1670,plain,
    ( ? [X0: int,X1: int] : ( plus_plus_int(power_power_int(X0,number_number_of_nat(bit0(bit1(pls)))),power_power_int(X1,number_number_of_nat(bit0(bit1(pls))))) = plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),one_one_int) )
   => ( plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),one_one_int) = plus_plus_int(power_power_int(sK2,number_number_of_nat(bit0(bit1(pls)))),power_power_int(sK3,number_number_of_nat(bit0(bit1(pls))))) ) ),
    introduced(choice_axiom,[]) ).

tff(f1671,plain,
    ( ( plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),one_one_int) = plus_plus_int(power_power_int(sK2,number_number_of_nat(bit0(bit1(pls)))),power_power_int(sK3,number_number_of_nat(bit0(bit1(pls))))) )
    | ~ ord_less_int(one_one_int,t) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK2,sK3])],[f1323,f1670]) ).

tff(f1678,plain,
    ! [X0: int,X1: int] :
      ( ( ord_less_eq_int(number_number_of_int(X0),number_number_of_int(X1))
        | ord_less_int(number_number_of_int(X1),number_number_of_int(X0)) )
      & ( ~ ord_less_int(number_number_of_int(X1),number_number_of_int(X0))
        | ~ ord_less_eq_int(number_number_of_int(X0),number_number_of_int(X1)) ) ),
    inference(nnf_transformation,[],[f739]) ).

tff(f1691,plain,
    ! [X0: int,X1: int] :
      ( ( ord_less_int(number_number_of_int(X0),number_number_of_int(X1))
        | ~ ord_less_int(X0,X1) )
      & ( ord_less_int(X0,X1)
        | ~ ord_less_int(number_number_of_int(X0),number_number_of_int(X1)) ) ),
    inference(nnf_transformation,[],[f759]) ).

tff(f1692,plain,
    ! [X0: int,X1: int] :
      ( ( ord_less_eq_int(number_number_of_int(X0),number_number_of_int(X1))
        | ~ ord_less_eq_int(X0,X1) )
      & ( ord_less_eq_int(X0,X1)
        | ~ ord_less_eq_int(number_number_of_int(X0),number_number_of_int(X1)) ) ),
    inference(nnf_transformation,[],[f760]) ).

tff(f1895,plain,
    ord_less_eq_int(one_one_int,t),
    inference(cnf_transformation,[],[f1]) ).

tff(f1896,plain,
    ( ( plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),one_one_int) = plus_plus_int(power_power_int(sK0,number_number_of_nat(bit0(bit1(pls)))),power_power_int(sK1,number_number_of_nat(bit0(bit1(pls))))) )
    | ( one_one_int != t ) ),
    inference(cnf_transformation,[],[f1669]) ).

tff(f1897,plain,
    ( ( plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),one_one_int) = plus_plus_int(power_power_int(sK2,number_number_of_nat(bit0(bit1(pls)))),power_power_int(sK3,number_number_of_nat(bit0(bit1(pls))))) )
    | ~ ord_less_int(one_one_int,t) ),
    inference(cnf_transformation,[],[f1671]) ).

tff(f1935,plain,
    ! [X0: int,X1: int] :
      ( ord_less_int(X1,X0)
      | ( X0 = X1 )
      | ord_less_int(X0,X1) ),
    inference(cnf_transformation,[],[f727]) ).

tff(f1949,plain,
    ! [X0: int,X1: int] :
      ( ~ ord_less_int(number_number_of_int(X1),number_number_of_int(X0))
      | ~ ord_less_eq_int(number_number_of_int(X0),number_number_of_int(X1)) ),
    inference(cnf_transformation,[],[f1678]) ).

tff(f1950,plain,
    ! [X0: int,X1: int] :
      ( ord_less_eq_int(number_number_of_int(X0),number_number_of_int(X1))
      | ord_less_int(number_number_of_int(X1),number_number_of_int(X0)) ),
    inference(cnf_transformation,[],[f1678]) ).

tff(f1985,plain,
    ! [X0: int,X1: int] :
      ( ord_less_int(X0,X1)
      | ~ ord_less_int(number_number_of_int(X0),number_number_of_int(X1)) ),
    inference(cnf_transformation,[],[f1691]) ).

tff(f1986,plain,
    ! [X0: int,X1: int] :
      ( ord_less_int(number_number_of_int(X0),number_number_of_int(X1))
      | ~ ord_less_int(X0,X1) ),
    inference(cnf_transformation,[],[f1691]) ).

tff(f1987,plain,
    ! [X0: int,X1: int] :
      ( ord_less_eq_int(X0,X1)
      | ~ ord_less_eq_int(number_number_of_int(X0),number_number_of_int(X1)) ),
    inference(cnf_transformation,[],[f1692]) ).

tff(f1988,plain,
    ! [X0: int,X1: int] :
      ( ord_less_eq_int(number_number_of_int(X0),number_number_of_int(X1))
      | ~ ord_less_eq_int(X0,X1) ),
    inference(cnf_transformation,[],[f1692]) ).

tff(f2027,plain,
    ! [X2: real,X0: real,X1: real] : ( times_times_real(times_times_real(X0,X1),X2) = times_times_real(X0,times_times_real(X1,X2)) ),
    inference(cnf_transformation,[],[f786]) ).

tff(f2028,plain,
    ! [X2: nat,X0: nat,X1: nat] : ( times_times_nat(times_times_nat(X0,X1),X2) = times_times_nat(X0,times_times_nat(X1,X2)) ),
    inference(cnf_transformation,[],[f787]) ).

tff(f2029,plain,
    ! [X2: int,X0: int,X1: int] : ( times_times_int(times_times_int(X0,X1),X2) = times_times_int(X0,times_times_int(X1,X2)) ),
    inference(cnf_transformation,[],[f788]) ).

tff(f2036,plain,
    ! [X0: real,X1: real] : ( times_times_real(X0,X1) = times_times_real(X1,X0) ),
    inference(cnf_transformation,[],[f795]) ).

tff(f2037,plain,
    ! [X0: nat,X1: nat] : ( times_times_nat(X0,X1) = times_times_nat(X1,X0) ),
    inference(cnf_transformation,[],[f796]) ).

tff(f2038,plain,
    ! [X0: int,X1: int] : ( times_times_int(X1,X0) = times_times_int(X0,X1) ),
    inference(cnf_transformation,[],[f797]) ).

tff(f2045,plain,
    ! [X2: real,X0: real,X1: real] : ( plus_plus_real(plus_plus_real(X0,X1),X2) = plus_plus_real(X0,plus_plus_real(X1,X2)) ),
    inference(cnf_transformation,[],[f804]) ).

tff(f2046,plain,
    ! [X2: nat,X0: nat,X1: nat] : ( plus_plus_nat(plus_plus_nat(X0,X1),X2) = plus_plus_nat(X0,plus_plus_nat(X1,X2)) ),
    inference(cnf_transformation,[],[f805]) ).

tff(f2047,plain,
    ! [X2: int,X0: int,X1: int] : ( plus_plus_int(plus_plus_int(X0,X1),X2) = plus_plus_int(X0,plus_plus_int(X1,X2)) ),
    inference(cnf_transformation,[],[f806]) ).

tff(f2054,plain,
    ! [X0: real,X1: real] : ( plus_plus_real(X0,X1) = plus_plus_real(X1,X0) ),
    inference(cnf_transformation,[],[f813]) ).

tff(f2055,plain,
    ! [X0: nat,X1: nat] : ( plus_plus_nat(X0,X1) = plus_plus_nat(X1,X0) ),
    inference(cnf_transformation,[],[f814]) ).

tff(f2056,plain,
    ! [X0: int,X1: int] : ( plus_plus_int(X0,X1) = plus_plus_int(X1,X0) ),
    inference(cnf_transformation,[],[f815]) ).

tff(f2169,plain,
    ! [X0: int] : ( bit0(X0) = plus_plus_int(X0,X0) ),
    inference(cnf_transformation,[],[f886]) ).

tff(f2216,plain,
    ! [X0: int] : ( bit1(X0) = plus_plus_int(plus_plus_int(one_one_int,X0),X0) ),
    inference(cnf_transformation,[],[f933]) ).

tff(f2345,plain,
    pls = zero_zero_int,
    inference(cnf_transformation,[],[f357]) ).

tff(f2829,plain,
    ! [X0: int,X1: int] : ( plus_plus_int(power_power_int(X0,number_number_of_nat(bit0(bit1(pls)))),power_power_int(X1,number_number_of_nat(bit0(bit1(pls))))) != plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),one_one_int) ),
    inference(cnf_transformation,[],[f1667]) ).

tff(f2830,plain,
    ( ( plus_plus_int(times_times_int(number_number_of_int(plus_plus_int(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,zero_zero_int),zero_zero_int),plus_plus_int(plus_plus_int(one_one_int,zero_zero_int),zero_zero_int)),plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,zero_zero_int),zero_zero_int),plus_plus_int(plus_plus_int(one_one_int,zero_zero_int),zero_zero_int)))),m),one_one_int) = plus_plus_int(power_power_int(sK0,number_number_of_nat(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,zero_zero_int),zero_zero_int),plus_plus_int(plus_plus_int(one_one_int,zero_zero_int),zero_zero_int)))),power_power_int(sK1,number_number_of_nat(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,zero_zero_int),zero_zero_int),plus_plus_int(plus_plus_int(one_one_int,zero_zero_int),zero_zero_int))))) )
    | ( one_one_int != t ) ),
    inference(definition_unfolding,[],[f1896,f2169,f2169,f2216,f2345,f2169,f2216,f2345,f2169,f2216,f2345]) ).

tff(f2831,plain,
    ( ( plus_plus_int(times_times_int(number_number_of_int(plus_plus_int(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,zero_zero_int),zero_zero_int),plus_plus_int(plus_plus_int(one_one_int,zero_zero_int),zero_zero_int)),plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,zero_zero_int),zero_zero_int),plus_plus_int(plus_plus_int(one_one_int,zero_zero_int),zero_zero_int)))),m),one_one_int) = plus_plus_int(power_power_int(sK2,number_number_of_nat(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,zero_zero_int),zero_zero_int),plus_plus_int(plus_plus_int(one_one_int,zero_zero_int),zero_zero_int)))),power_power_int(sK3,number_number_of_nat(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,zero_zero_int),zero_zero_int),plus_plus_int(plus_plus_int(one_one_int,zero_zero_int),zero_zero_int))))) )
    | ~ ord_less_int(one_one_int,t) ),
    inference(definition_unfolding,[],[f1897,f2169,f2169,f2216,f2345,f2169,f2216,f2345,f2169,f2216,f2345]) ).

tff(f3186,plain,
    ! [X0: int,X1: int] : ( plus_plus_int(times_times_int(number_number_of_int(plus_plus_int(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,zero_zero_int),zero_zero_int),plus_plus_int(plus_plus_int(one_one_int,zero_zero_int),zero_zero_int)),plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,zero_zero_int),zero_zero_int),plus_plus_int(plus_plus_int(one_one_int,zero_zero_int),zero_zero_int)))),m),one_one_int) != plus_plus_int(power_power_int(X0,number_number_of_nat(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,zero_zero_int),zero_zero_int),plus_plus_int(plus_plus_int(one_one_int,zero_zero_int),zero_zero_int)))),power_power_int(X1,number_number_of_nat(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,zero_zero_int),zero_zero_int),plus_plus_int(plus_plus_int(one_one_int,zero_zero_int),zero_zero_int))))) ),
    inference(definition_unfolding,[],[f2829,f2169,f2216,f2345,f2169,f2216,f2345,f2169,f2169,f2216,f2345]) ).

cnf(c_49,plain,
    ord_less_eq_int(one_one_int,t),
    inference(cnf_transformation,[],[f1895]) ).

cnf(c_50,plain,
    ( one_one_int != t
    | plus_plus_int(power_power_int(sK0,number_number_of_nat(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,zero_zero_int),zero_zero_int),plus_plus_int(plus_plus_int(one_one_int,zero_zero_int),zero_zero_int)))),power_power_int(sK1,number_number_of_nat(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,zero_zero_int),zero_zero_int),plus_plus_int(plus_plus_int(one_one_int,zero_zero_int),zero_zero_int))))) = plus_plus_int(times_times_int(number_number_of_int(plus_plus_int(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,zero_zero_int),zero_zero_int),plus_plus_int(plus_plus_int(one_one_int,zero_zero_int),zero_zero_int)),plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,zero_zero_int),zero_zero_int),plus_plus_int(plus_plus_int(one_one_int,zero_zero_int),zero_zero_int)))),m),one_one_int) ),
    inference(cnf_transformation,[],[f2830]) ).

cnf(c_51,plain,
    ( ~ ord_less_int(one_one_int,t)
    | plus_plus_int(power_power_int(sK2,number_number_of_nat(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,zero_zero_int),zero_zero_int),plus_plus_int(plus_plus_int(one_one_int,zero_zero_int),zero_zero_int)))),power_power_int(sK3,number_number_of_nat(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,zero_zero_int),zero_zero_int),plus_plus_int(plus_plus_int(one_one_int,zero_zero_int),zero_zero_int))))) = plus_plus_int(times_times_int(number_number_of_int(plus_plus_int(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,zero_zero_int),zero_zero_int),plus_plus_int(plus_plus_int(one_one_int,zero_zero_int),zero_zero_int)),plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,zero_zero_int),zero_zero_int),plus_plus_int(plus_plus_int(one_one_int,zero_zero_int),zero_zero_int)))),m),one_one_int) ),
    inference(cnf_transformation,[],[f2831]) ).

cnf(c_89,plain,
    ( X0_13 = X1_13
    | ord_less_int(X0_13,X1_13)
    | ord_less_int(X1_13,X0_13) ),
    inference(cnf_transformation,[],[f1935]) ).

cnf(c_103,plain,
    ( ord_less_int(number_number_of_int(X0_13),number_number_of_int(X1_13))
    | ord_less_eq_int(number_number_of_int(X1_13),number_number_of_int(X0_13)) ),
    inference(cnf_transformation,[],[f1950]) ).

cnf(c_104,plain,
    ( ~ ord_less_int(number_number_of_int(X0_13),number_number_of_int(X1_13))
    | ~ ord_less_eq_int(number_number_of_int(X1_13),number_number_of_int(X0_13)) ),
    inference(cnf_transformation,[],[f1949]) ).

cnf(c_139,plain,
    ( ~ ord_less_int(X0_13,X1_13)
    | ord_less_int(number_number_of_int(X0_13),number_number_of_int(X1_13)) ),
    inference(cnf_transformation,[],[f1986]) ).

cnf(c_140,plain,
    ( ~ ord_less_int(number_number_of_int(X0_13),number_number_of_int(X1_13))
    | ord_less_int(X0_13,X1_13) ),
    inference(cnf_transformation,[],[f1985]) ).

cnf(c_141,plain,
    ( ~ ord_less_eq_int(X0_13,X1_13)
    | ord_less_eq_int(number_number_of_int(X0_13),number_number_of_int(X1_13)) ),
    inference(cnf_transformation,[],[f1988]) ).

cnf(c_142,plain,
    ( ~ ord_less_eq_int(number_number_of_int(X0_13),number_number_of_int(X1_13))
    | ord_less_eq_int(X0_13,X1_13) ),
    inference(cnf_transformation,[],[f1987]) ).

cnf(c_181,plain,
    times_times_real(times_times_real(X0_15,X1_15),X2_15) = times_times_real(X0_15,times_times_real(X1_15,X2_15)),
    inference(cnf_transformation,[],[f2027]) ).

cnf(c_182,plain,
    times_times_nat(times_times_nat(X0_14,X1_14),X2_14) = times_times_nat(X0_14,times_times_nat(X1_14,X2_14)),
    inference(cnf_transformation,[],[f2028]) ).

cnf(c_183,plain,
    times_times_int(times_times_int(X0_13,X1_13),X2_13) = times_times_int(X0_13,times_times_int(X1_13,X2_13)),
    inference(cnf_transformation,[],[f2029]) ).

cnf(c_190,plain,
    times_times_real(X0_15,X1_15) = times_times_real(X1_15,X0_15),
    inference(cnf_transformation,[],[f2036]) ).

cnf(c_191,plain,
    times_times_nat(X0_14,X1_14) = times_times_nat(X1_14,X0_14),
    inference(cnf_transformation,[],[f2037]) ).

cnf(c_192,plain,
    times_times_int(X0_13,X1_13) = times_times_int(X1_13,X0_13),
    inference(cnf_transformation,[],[f2038]) ).

cnf(c_199,plain,
    plus_plus_real(plus_plus_real(X0_15,X1_15),X2_15) = plus_plus_real(X0_15,plus_plus_real(X1_15,X2_15)),
    inference(cnf_transformation,[],[f2045]) ).

cnf(c_200,plain,
    plus_plus_nat(plus_plus_nat(X0_14,X1_14),X2_14) = plus_plus_nat(X0_14,plus_plus_nat(X1_14,X2_14)),
    inference(cnf_transformation,[],[f2046]) ).

cnf(c_201,plain,
    plus_plus_int(plus_plus_int(X0_13,X1_13),X2_13) = plus_plus_int(X0_13,plus_plus_int(X1_13,X2_13)),
    inference(cnf_transformation,[],[f2047]) ).

cnf(c_208,plain,
    plus_plus_real(X0_15,X1_15) = plus_plus_real(X1_15,X0_15),
    inference(cnf_transformation,[],[f2054]) ).

cnf(c_209,plain,
    plus_plus_nat(X0_14,X1_14) = plus_plus_nat(X1_14,X0_14),
    inference(cnf_transformation,[],[f2055]) ).

cnf(c_210,plain,
    plus_plus_int(X0_13,X1_13) = plus_plus_int(X1_13,X0_13),
    inference(cnf_transformation,[],[f2056]) ).

cnf(c_958,negated_conjecture,
    plus_plus_int(power_power_int(X0_13,number_number_of_nat(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,zero_zero_int),zero_zero_int),plus_plus_int(plus_plus_int(one_one_int,zero_zero_int),zero_zero_int)))),power_power_int(X1_13,number_number_of_nat(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,zero_zero_int),zero_zero_int),plus_plus_int(plus_plus_int(one_one_int,zero_zero_int),zero_zero_int))))) != plus_plus_int(times_times_int(number_number_of_int(plus_plus_int(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,zero_zero_int),zero_zero_int),plus_plus_int(plus_plus_int(one_one_int,zero_zero_int),zero_zero_int)),plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,zero_zero_int),zero_zero_int),plus_plus_int(plus_plus_int(one_one_int,zero_zero_int),zero_zero_int)))),m),one_one_int),
    inference(cnf_transformation,[],[f3186]) ).

cnf(c_1414,plain,
    ( one_one_int != t
    | plus_plus_int(power_power_int(sK0,number_number_of_nat(plus_plus_int(one_one_int,plus_plus_int(one_one_int,plus_plus_int(zero_zero_int,plus_plus_int(zero_zero_int,plus_plus_int(zero_zero_int,zero_zero_int))))))),power_power_int(sK1,number_number_of_nat(plus_plus_int(one_one_int,plus_plus_int(one_one_int,plus_plus_int(zero_zero_int,plus_plus_int(zero_zero_int,plus_plus_int(zero_zero_int,zero_zero_int)))))))) = plus_plus_int(one_one_int,times_times_int(m,number_number_of_int(plus_plus_int(one_one_int,plus_plus_int(one_one_int,plus_plus_int(one_one_int,plus_plus_int(one_one_int,plus_plus_int(zero_zero_int,plus_plus_int(zero_zero_int,plus_plus_int(zero_zero_int,plus_plus_int(zero_zero_int,plus_plus_int(zero_zero_int,plus_plus_int(zero_zero_int,plus_plus_int(zero_zero_int,zero_zero_int)))))))))))))) ),
    inference(theory_normalisation,[status(thm)],[c_50,c_181,c_190,c_182,c_191,c_183,c_192,c_199,c_208,c_200,c_209,c_201,c_210]) ).

cnf(c_1415,plain,
    ( ~ ord_less_int(one_one_int,t)
    | plus_plus_int(power_power_int(sK2,number_number_of_nat(plus_plus_int(one_one_int,plus_plus_int(one_one_int,plus_plus_int(zero_zero_int,plus_plus_int(zero_zero_int,plus_plus_int(zero_zero_int,zero_zero_int))))))),power_power_int(sK3,number_number_of_nat(plus_plus_int(one_one_int,plus_plus_int(one_one_int,plus_plus_int(zero_zero_int,plus_plus_int(zero_zero_int,plus_plus_int(zero_zero_int,zero_zero_int)))))))) = plus_plus_int(one_one_int,times_times_int(m,number_number_of_int(plus_plus_int(one_one_int,plus_plus_int(one_one_int,plus_plus_int(one_one_int,plus_plus_int(one_one_int,plus_plus_int(zero_zero_int,plus_plus_int(zero_zero_int,plus_plus_int(zero_zero_int,plus_plus_int(zero_zero_int,plus_plus_int(zero_zero_int,plus_plus_int(zero_zero_int,plus_plus_int(zero_zero_int,zero_zero_int)))))))))))))) ),
    inference(theory_normalisation,[status(thm)],[c_51,c_181,c_190,c_182,c_191,c_183,c_192,c_199,c_208,c_200,c_209,c_201,c_210]) ).

cnf(c_1620,negated_conjecture,
    plus_plus_int(power_power_int(X0_13,number_number_of_nat(plus_plus_int(one_one_int,plus_plus_int(one_one_int,plus_plus_int(zero_zero_int,plus_plus_int(zero_zero_int,plus_plus_int(zero_zero_int,zero_zero_int))))))),power_power_int(X1_13,number_number_of_nat(plus_plus_int(one_one_int,plus_plus_int(one_one_int,plus_plus_int(zero_zero_int,plus_plus_int(zero_zero_int,plus_plus_int(zero_zero_int,zero_zero_int)))))))) != plus_plus_int(one_one_int,times_times_int(m,number_number_of_int(plus_plus_int(one_one_int,plus_plus_int(one_one_int,plus_plus_int(one_one_int,plus_plus_int(one_one_int,plus_plus_int(zero_zero_int,plus_plus_int(zero_zero_int,plus_plus_int(zero_zero_int,plus_plus_int(zero_zero_int,plus_plus_int(zero_zero_int,plus_plus_int(zero_zero_int,plus_plus_int(zero_zero_int,zero_zero_int)))))))))))))),
    inference(theory_normalisation,[status(thm)],[c_958,c_181,c_190,c_182,c_191,c_183,c_192,c_199,c_208,c_200,c_209,c_201,c_210]) ).

cnf(c_1685,plain,
    ( ord_less_eq_int(X0_13,X1_13)
    | ~ ord_less_eq_int(number_number_of_int(X0_13),number_number_of_int(X1_13)) ),
    inference(prop_impl_just,[status(thm)],[c_142]) ).

cnf(c_1686,plain,
    ( ~ ord_less_eq_int(number_number_of_int(X0_13),number_number_of_int(X1_13))
    | ord_less_eq_int(X0_13,X1_13) ),
    inference(renaming,[status(thm)],[c_1685]) ).

cnf(c_1687,plain,
    ( ~ ord_less_eq_int(X0_13,X1_13)
    | ord_less_eq_int(number_number_of_int(X0_13),number_number_of_int(X1_13)) ),
    inference(prop_impl_just,[status(thm)],[c_141]) ).

cnf(c_1693,plain,
    ( ~ ord_less_int(X0_13,X1_13)
    | ~ ord_less_eq_int(number_number_of_int(X1_13),number_number_of_int(X0_13)) ),
    inference(prop_impl_just,[status(thm)],[c_139,c_104]) ).

cnf(c_1694,plain,
    ( ~ ord_less_eq_int(number_number_of_int(X0_13),number_number_of_int(X1_13))
    | ~ ord_less_int(X1_13,X0_13) ),
    inference(renaming,[status(thm)],[c_1693]) ).

cnf(c_1695,plain,
    ( ord_less_int(X0_13,X1_13)
    | ord_less_eq_int(number_number_of_int(X1_13),number_number_of_int(X0_13)) ),
    inference(prop_impl_just,[status(thm)],[c_140,c_103]) ).

cnf(c_1696,plain,
    ( ord_less_eq_int(number_number_of_int(X0_13),number_number_of_int(X1_13))
    | ord_less_int(X1_13,X0_13) ),
    inference(renaming,[status(thm)],[c_1695]) ).

cnf(c_1901,plain,
    ( one_one_int != t
    | plus_plus_int(power_power_int(sK0,number_number_of_nat(plus_plus_int(one_one_int,plus_plus_int(one_one_int,plus_plus_int(zero_zero_int,plus_plus_int(zero_zero_int,plus_plus_int(zero_zero_int,zero_zero_int))))))),power_power_int(sK1,number_number_of_nat(plus_plus_int(one_one_int,plus_plus_int(one_one_int,plus_plus_int(zero_zero_int,plus_plus_int(zero_zero_int,plus_plus_int(zero_zero_int,zero_zero_int)))))))) = plus_plus_int(one_one_int,times_times_int(m,number_number_of_int(plus_plus_int(one_one_int,plus_plus_int(one_one_int,plus_plus_int(one_one_int,plus_plus_int(one_one_int,plus_plus_int(zero_zero_int,plus_plus_int(zero_zero_int,plus_plus_int(zero_zero_int,plus_plus_int(zero_zero_int,plus_plus_int(zero_zero_int,plus_plus_int(zero_zero_int,plus_plus_int(zero_zero_int,zero_zero_int)))))))))))))) ),
    inference(prop_impl_just,[status(thm)],[c_1414]) ).

cnf(c_1903,plain,
    ( ~ ord_less_int(one_one_int,t)
    | plus_plus_int(power_power_int(sK2,number_number_of_nat(plus_plus_int(one_one_int,plus_plus_int(one_one_int,plus_plus_int(zero_zero_int,plus_plus_int(zero_zero_int,plus_plus_int(zero_zero_int,zero_zero_int))))))),power_power_int(sK3,number_number_of_nat(plus_plus_int(one_one_int,plus_plus_int(one_one_int,plus_plus_int(zero_zero_int,plus_plus_int(zero_zero_int,plus_plus_int(zero_zero_int,zero_zero_int)))))))) = plus_plus_int(one_one_int,times_times_int(m,number_number_of_int(plus_plus_int(one_one_int,plus_plus_int(one_one_int,plus_plus_int(one_one_int,plus_plus_int(one_one_int,plus_plus_int(zero_zero_int,plus_plus_int(zero_zero_int,plus_plus_int(zero_zero_int,plus_plus_int(zero_zero_int,plus_plus_int(zero_zero_int,plus_plus_int(zero_zero_int,plus_plus_int(zero_zero_int,zero_zero_int)))))))))))))) ),
    inference(prop_impl_just,[status(thm)],[c_1415]) ).

cnf(c_3336,plain,
    ( ~ ord_less_int(X0_13,X1_13)
    | ~ ord_less_eq_int(X1_13,X0_13) ),
    inference(bin_hyper_res,[status(thm)],[c_1694,c_1687]) ).

cnf(c_3337,plain,
    ( ord_less_int(X0_13,X1_13)
    | ord_less_eq_int(X1_13,X0_13) ),
    inference(bin_hyper_res,[status(thm)],[c_1696,c_1686]) ).

cnf(c_3944,plain,
    one_one_int != t,
    inference(backward_subsumption_resolution,[status(thm)],[c_1901,c_1620]) ).

cnf(c_3945,plain,
    ~ ord_less_int(one_one_int,t),
    inference(backward_subsumption_resolution,[status(thm)],[c_1903,c_1620]) ).

cnf(c_10169,plain,
    ( ~ ord_less_eq_int(X1_13,X0_13)
    | ~ ord_less_int(X0_13,X1_13) ),
    inference(prop_impl_just,[status(thm)],[c_3336]) ).

cnf(c_10170,plain,
    ( ~ ord_less_int(X0_13,X1_13)
    | ~ ord_less_eq_int(X1_13,X0_13) ),
    inference(renaming,[status(thm)],[c_10169]) ).

cnf(c_10171,plain,
    ( ord_less_eq_int(X1_13,X0_13)
    | ord_less_int(X0_13,X1_13) ),
    inference(prop_impl_just,[status(thm)],[c_3337]) ).

cnf(c_10172,plain,
    ( ord_less_int(X0_13,X1_13)
    | ord_less_eq_int(X1_13,X0_13) ),
    inference(renaming,[status(thm)],[c_10171]) ).

cnf(c_11587,plain,
    ( ~ ord_less_eq_int(X0_13,X1_13)
    | X1_13 = X0_13
    | ord_less_int(X0_13,X1_13) ),
    inference(bin_hyper_res,[status(thm)],[c_89,c_10170]) ).

cnf(c_17093,plain,
    ( ~ ord_less_eq_int(X1_13,X0_13)
    | ~ ord_less_int(X0_13,X1_13) ),
    inference(prop_impl_just,[status(thm)],[c_3336]) ).

cnf(c_17094,plain,
    ( ~ ord_less_int(X0_13,X1_13)
    | ~ ord_less_eq_int(X1_13,X0_13) ),
    inference(renaming,[status(thm)],[c_17093]) ).

cnf(c_18572,plain,
    ( ~ ord_less_eq_int(X0_13,X1_13)
    | ~ ord_less_eq_int(X1_13,X0_13)
    | X1_13 = X0_13 ),
    inference(bin_hyper_res,[status(thm)],[c_11587,c_17094]) ).

cnf(c_25279,plain,
    ( ~ ord_less_eq_int(t,one_one_int)
    | one_one_int = t ),
    inference(superposition,[status(thm)],[c_49,c_18572]) ).

cnf(c_29679,plain,
    ~ ord_less_eq_int(t,one_one_int),
    inference(global_subsumption_just,[status(thm)],[c_25279,c_3944,c_25279]) ).

cnf(c_29681,plain,
    ord_less_int(one_one_int,t),
    inference(superposition,[status(thm)],[c_10172,c_29679]) ).

cnf(c_29682,plain,
    $false,
    inference(backward_subsumption_resolution,[status(thm)],[c_3945,c_29681]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.12  % Problem  : NUM926_2 : TPTP v8.1.2. Released v5.3.0.
% 0.12/0.13  % Command  : run_iprover %s %d THM
% 0.12/0.34  % Computer : n011.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 : Fri Aug 25 16:36:38 EDT 2023
% 0.12/0.34  % CPUTime  : 
% 0.19/0.46  Running first-order theorem proving
% 0.19/0.46  Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 7.84/1.66  % SZS status Started for theBenchmark.p
% 7.84/1.66  % SZS status Theorem for theBenchmark.p
% 7.84/1.66  
% 7.84/1.66  %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 7.84/1.66  
% 7.84/1.66  ------  iProver source info
% 7.84/1.66  
% 7.84/1.66  git: date: 2023-05-31 18:12:56 +0000
% 7.84/1.66  git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 7.84/1.66  git: non_committed_changes: false
% 7.84/1.66  git: last_make_outside_of_git: false
% 7.84/1.66  
% 7.84/1.66  ------ Parsing...
% 7.84/1.66  ------ Clausification by vclausify_rel  & Parsing by iProver...
% 7.84/1.66  
% 7.84/1.66  ------ Preprocessing... sup_sim: 243  sf_s  rm: 11 0s  sf_e  pe_s  pe_e  sup_sim: 0  sf_s  rm: 3 0s  sf_e  pe_s  pe_e 
% 7.84/1.66  
% 7.84/1.66  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 7.84/1.66  
% 7.84/1.66  ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 7.84/1.66  ------ Proving...
% 7.84/1.66  ------ Problem Properties 
% 7.84/1.66  
% 7.84/1.66  
% 7.84/1.66  clauses                                 541
% 7.84/1.66  conjectures                             0
% 7.84/1.66  EPR                                     58
% 7.84/1.66  Horn                                    457
% 7.84/1.66  unary                                   175
% 7.84/1.66  binary                                  210
% 7.84/1.66  lits                                    1124
% 7.84/1.66  lits eq                                 317
% 7.84/1.66  fd_pure                                 0
% 7.84/1.66  fd_pseudo                               0
% 7.84/1.66  fd_cond                                 62
% 7.84/1.66  fd_pseudo_cond                          34
% 7.84/1.66  AC symbols                              6
% 7.84/1.66  
% 7.84/1.66  ------ Input Options Time Limit: Unbounded
% 7.84/1.66  
% 7.84/1.66  
% 7.84/1.66  ------ 
% 7.84/1.66  Current options:
% 7.84/1.66  ------ 
% 7.84/1.66  
% 7.84/1.66  
% 7.84/1.66  
% 7.84/1.66  
% 7.84/1.66  ------ Proving...
% 7.84/1.66  
% 7.84/1.66  
% 7.84/1.66  % SZS status Theorem for theBenchmark.p
% 7.84/1.66  
% 7.84/1.66  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 7.84/1.66  
% 7.84/1.66  
%------------------------------------------------------------------------------