TSTP Solution File: NUM924+2 by CSE_E---1.5

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : CSE_E---1.5
% Problem  : NUM924+2 : TPTP v8.1.2. Released v5.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s

% Computer : n006.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 10:41:24 EDT 2023

% Result   : Theorem 0.20s 0.70s
% Output   : CNFRefutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :   65
% Syntax   : Number of formulae    :   94 (  40 unt;  54 typ;   0 def)
%            Number of atoms       :   40 (  28 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :    6 (   6   ~;   0   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   2 avg)
%            Maximal term depth    :   16 (   3 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   66 (  37   >;  29   *;   0   +;   0  <<)
%            Number of predicates  :   16 (  14 usr;   1 prp; 0-3 aty)
%            Number of functors    :   40 (  40 usr;  17 con; 0-3 aty)
%            Number of variables   :   40 (   2 sgn;  26   !;   0   ?;   0   :)

% Comments : 
%------------------------------------------------------------------------------
tff(decl_22,type,
    is_int: $i > $o ).

tff(decl_23,type,
    minus_minus_int: ( $i * $i ) > $i ).

tff(decl_24,type,
    one_one_int: $i ).

tff(decl_25,type,
    plus_plus_int: ( $i * $i ) > $i ).

tff(decl_26,type,
    times_times_int: ( $i * $i ) > $i ).

tff(decl_27,type,
    zero_zero_int: $i ).

tff(decl_28,type,
    int: $i ).

tff(decl_29,type,
    undefined_int: $i > $i ).

tff(decl_30,type,
    bit0: $i > $i ).

tff(decl_31,type,
    bit1: $i > $i ).

tff(decl_32,type,
    min: $i ).

tff(decl_33,type,
    pls: $i ).

tff(decl_34,type,
    number_number_of_int: $i > $i ).

tff(decl_35,type,
    power_power_int: ( $i * $i ) > $i ).

tff(decl_36,type,
    legendre: ( $i * $i ) > $i ).

tff(decl_37,type,
    m: $i ).

tff(decl_38,type,
    s1: $i ).

tff(decl_39,type,
    s: $i ).

tff(decl_40,type,
    t: $i ).

tff(decl_41,type,
    ord_less_int: ( $i * $i ) > $o ).

tff(decl_42,type,
    number_number_of_nat: $i > $i ).

tff(decl_43,type,
    ord_less_eq_int: ( $i * $i ) > $o ).

tff(decl_44,type,
    power_power_real: ( $i * $i ) > $i ).

tff(decl_45,type,
    plus_plus_real: ( $i * $i ) > $i ).

tff(decl_46,type,
    zero_zero_real: $i ).

tff(decl_47,type,
    ord_less_real: ( $i * $i ) > $o ).

tff(decl_48,type,
    one_one_real: $i ).

tff(decl_49,type,
    one_one_nat: $i ).

tff(decl_50,type,
    power_power_nat: ( $i * $i ) > $i ).

tff(decl_51,type,
    zero_zero_nat: $i ).

tff(decl_52,type,
    number267125858f_real: $i > $i ).

tff(decl_53,type,
    zprime: $i > $o ).

tff(decl_54,type,
    twoSqu142715416sum2sq: $i > $o ).

tff(decl_55,type,
    ord_less_eq_real: ( $i * $i ) > $o ).

tff(decl_56,type,
    plus_plus_nat: ( $i * $i ) > $i ).

tff(decl_57,type,
    times_times_real: ( $i * $i ) > $i ).

tff(decl_58,type,
    times_times_nat: ( $i * $i ) > $i ).

tff(decl_59,type,
    ord_less_nat: ( $i * $i ) > $o ).

tff(decl_60,type,
    ord_less_eq_nat: ( $i * $i ) > $o ).

tff(decl_61,type,
    dvd_dvd_int: ( $i * $i ) > $o ).

tff(decl_62,type,
    zcong: ( $i * $i * $i ) > $o ).

tff(decl_63,type,
    quadRes: ( $i * $i ) > $o ).

tff(decl_64,type,
    minus_minus_real: ( $i * $i ) > $i ).

tff(decl_65,type,
    minus_minus_nat: ( $i * $i ) > $i ).

tff(decl_66,type,
    dvd_dvd_nat: ( $i * $i ) > $o ).

tff(decl_67,type,
    dvd_dvd_real: ( $i * $i ) > $o ).

tff(decl_68,type,
    esk1_0: $i ).

tff(decl_69,type,
    esk2_0: $i ).

tff(decl_70,type,
    esk3_0: $i ).

tff(decl_71,type,
    esk4_1: $i > $i ).

tff(decl_72,type,
    esk5_0: $i ).

tff(decl_73,type,
    esk6_3: ( $i * $i * $i ) > $i ).

tff(decl_74,type,
    esk7_2: ( $i * $i ) > $i ).

tff(decl_75,type,
    esk8_2: ( $i * $i ) > $i ).

fof(conj_0,conjecture,
    ord_less_int(plus_plus_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(fact_180_Bit0__def,axiom,
    ! [X13] : bit0(X13) = plus_plus_int(X13,X13),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_180_Bit0__def) ).

fof(fact_234_Bit1__def,axiom,
    ! [X13] : bit1(X13) = plus_plus_int(plus_plus_int(one_one_int,X13),X13),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_234_Bit1__def) ).

fof(fact_3_t,axiom,
    plus_plus_int(power_power_int(s,number_number_of_nat(bit0(bit1(pls)))),one_one_int) = times_times_int(plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),one_one_int),t),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_3_t) ).

fof(fact_334_comm__semiring__1__class_Onormalizing__semiring__rules_I25_J,axiom,
    ! [X137,X138,X139] : plus_plus_int(X137,plus_plus_int(X138,X139)) = plus_plus_int(plus_plus_int(X137,X138),X139),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_334_comm__semiring__1__class_Onormalizing__semiring__rules_I25_J) ).

fof(fact_132_zadd__commute,axiom,
    ! [X14,X12] : plus_plus_int(X14,X12) = plus_plus_int(X12,X14),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_132_zadd__commute) ).

fof(fact_131_zadd__left__commute,axiom,
    ! [X3,X4,X14] : plus_plus_int(X3,plus_plus_int(X4,X14)) = plus_plus_int(X4,plus_plus_int(X3,X14)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_131_zadd__left__commute) ).

fof(fact_35_zmult__commute,axiom,
    ! [X14,X12] : times_times_int(X14,X12) = times_times_int(X12,X14),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_35_zmult__commute) ).

fof(fact_362_comm__semiring__1__class_Onormalizing__semiring__rules_I10_J,axiom,
    ! [X156] : times_times_int(X156,zero_zero_int) = zero_zero_int,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_362_comm__semiring__1__class_Onormalizing__semiring__rules_I10_J) ).

fof(fact_170_Pls__def,axiom,
    pls = zero_zero_int,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_170_Pls__def) ).

fof(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,axiom,
    ord_less_int(times_times_int(plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),one_one_int),t),times_times_int(plus_plus_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) ).

fof(c_0_11,negated_conjecture,
    ~ ord_less_int(plus_plus_int(power_power_int(s,number_number_of_nat(bit0(bit1(pls)))),one_one_int),zero_zero_int),
    inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[conj_0])]) ).

fof(c_0_12,plain,
    ! [X582] : bit0(X582) = plus_plus_int(X582,X582),
    inference(variable_rename,[status(thm)],[fact_180_Bit0__def]) ).

fof(c_0_13,plain,
    ! [X643] : bit1(X643) = plus_plus_int(plus_plus_int(one_one_int,X643),X643),
    inference(variable_rename,[status(thm)],[fact_234_Bit1__def]) ).

cnf(c_0_14,negated_conjecture,
    ~ ord_less_int(plus_plus_int(power_power_int(s,number_number_of_nat(bit0(bit1(pls)))),one_one_int),zero_zero_int),
    inference(split_conjunct,[status(thm)],[c_0_11]) ).

cnf(c_0_15,plain,
    bit0(X1) = plus_plus_int(X1,X1),
    inference(split_conjunct,[status(thm)],[c_0_12]) ).

cnf(c_0_16,plain,
    bit1(X1) = plus_plus_int(plus_plus_int(one_one_int,X1),X1),
    inference(split_conjunct,[status(thm)],[c_0_13]) ).

cnf(c_0_17,plain,
    plus_plus_int(power_power_int(s,number_number_of_nat(bit0(bit1(pls)))),one_one_int) = times_times_int(plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),one_one_int),t),
    inference(split_conjunct,[status(thm)],[fact_3_t]) ).

fof(c_0_18,plain,
    ! [X836,X837,X838] : plus_plus_int(X836,plus_plus_int(X837,X838)) = plus_plus_int(plus_plus_int(X836,X837),X838),
    inference(variable_rename,[status(thm)],[fact_334_comm__semiring__1__class_Onormalizing__semiring__rules_I25_J]) ).

fof(c_0_19,plain,
    ! [X511,X512] : plus_plus_int(X511,X512) = plus_plus_int(X512,X511),
    inference(variable_rename,[status(thm)],[fact_132_zadd__commute]) ).

fof(c_0_20,plain,
    ! [X508,X509,X510] : plus_plus_int(X508,plus_plus_int(X509,X510)) = plus_plus_int(X509,plus_plus_int(X508,X510)),
    inference(variable_rename,[status(thm)],[fact_131_zadd__left__commute]) ).

fof(c_0_21,plain,
    ! [X332,X333] : times_times_int(X332,X333) = times_times_int(X333,X332),
    inference(variable_rename,[status(thm)],[fact_35_zmult__commute]) ).

fof(c_0_22,plain,
    ! [X896] : times_times_int(X896,zero_zero_int) = zero_zero_int,
    inference(variable_rename,[status(thm)],[fact_362_comm__semiring__1__class_Onormalizing__semiring__rules_I10_J]) ).

cnf(c_0_23,negated_conjecture,
    ~ ord_less_int(plus_plus_int(power_power_int(s,number_number_of_nat(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls)))),one_one_int),zero_zero_int),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_14,c_0_15]),c_0_16]),c_0_16]) ).

cnf(c_0_24,plain,
    pls = zero_zero_int,
    inference(split_conjunct,[status(thm)],[fact_170_Pls__def]) ).

cnf(c_0_25,plain,
    ord_less_int(times_times_int(plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),one_one_int),t),times_times_int(plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),one_one_int),zero_zero_int)),
    inference(split_conjunct,[status(thm)],[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]) ).

cnf(c_0_26,plain,
    plus_plus_int(power_power_int(s,number_number_of_nat(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls)))),one_one_int) = times_times_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,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls)),plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls)))),m),one_one_int),t),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_17,c_0_15]),c_0_15]),c_0_15]),c_0_16]),c_0_16]),c_0_16]),c_0_16]),c_0_16]),c_0_16]) ).

cnf(c_0_27,plain,
    plus_plus_int(X1,plus_plus_int(X2,X3)) = plus_plus_int(plus_plus_int(X1,X2),X3),
    inference(split_conjunct,[status(thm)],[c_0_18]) ).

cnf(c_0_28,plain,
    plus_plus_int(X1,X2) = plus_plus_int(X2,X1),
    inference(split_conjunct,[status(thm)],[c_0_19]) ).

cnf(c_0_29,plain,
    plus_plus_int(X1,plus_plus_int(X2,X3)) = plus_plus_int(X2,plus_plus_int(X1,X3)),
    inference(split_conjunct,[status(thm)],[c_0_20]) ).

cnf(c_0_30,plain,
    times_times_int(X1,X2) = times_times_int(X2,X1),
    inference(split_conjunct,[status(thm)],[c_0_21]) ).

cnf(c_0_31,plain,
    times_times_int(X1,zero_zero_int) = zero_zero_int,
    inference(split_conjunct,[status(thm)],[c_0_22]) ).

cnf(c_0_32,negated_conjecture,
    ~ ord_less_int(plus_plus_int(power_power_int(s,number_number_of_nat(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls)))),one_one_int),pls),
    inference(rw,[status(thm)],[c_0_23,c_0_24]) ).

cnf(c_0_33,plain,
    ord_less_int(times_times_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,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls)),plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls)))),m),one_one_int),t),times_times_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,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls)),plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls)))),m),one_one_int),zero_zero_int)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_25,c_0_15]),c_0_15]),c_0_15]),c_0_15]),c_0_16]),c_0_16]),c_0_16]),c_0_16]),c_0_16]),c_0_16]),c_0_16]),c_0_16]) ).

cnf(c_0_34,plain,
    times_times_int(t,plus_plus_int(one_one_int,times_times_int(m,number_number_of_int(plus_plus_int(pls,plus_plus_int(pls,plus_plus_int(pls,plus_plus_int(pls,plus_plus_int(pls,plus_plus_int(pls,plus_plus_int(pls,plus_plus_int(pls,plus_plus_int(one_one_int,plus_plus_int(one_one_int,plus_plus_int(one_one_int,one_one_int))))))))))))))) = plus_plus_int(one_one_int,power_power_int(s,number_number_of_nat(plus_plus_int(pls,plus_plus_int(pls,plus_plus_int(pls,plus_plus_int(pls,plus_plus_int(one_one_int,one_one_int)))))))),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_26,c_0_27]),c_0_28]),c_0_28]),c_0_28]),c_0_27]),c_0_29]),c_0_29]),c_0_29]),c_0_27]),c_0_28]),c_0_28]),c_0_28]),c_0_27]),c_0_29]),c_0_29]),c_0_29]),c_0_27]),c_0_27]),c_0_27]),c_0_27]),c_0_27]),c_0_29]),c_0_29]),c_0_29]),c_0_29]),c_0_29]),c_0_29]),c_0_29]),c_0_29]),c_0_30]),c_0_28]),c_0_30]),c_0_28]),c_0_27]),c_0_28]),c_0_28]),c_0_28]),c_0_27]),c_0_29]),c_0_29]),c_0_29]) ).

cnf(c_0_35,plain,
    times_times_int(X1,pls) = pls,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_31,c_0_24]),c_0_24]) ).

cnf(c_0_36,negated_conjecture,
    ~ ord_less_int(plus_plus_int(one_one_int,power_power_int(s,number_number_of_nat(plus_plus_int(plus_plus_int(pls,plus_plus_int(pls,one_one_int)),plus_plus_int(pls,plus_plus_int(pls,one_one_int)))))),pls),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_32,c_0_28]),c_0_28]),c_0_28]),c_0_28]),c_0_28]) ).

cnf(c_0_37,plain,
    ord_less_int(plus_plus_int(one_one_int,power_power_int(s,number_number_of_nat(plus_plus_int(pls,plus_plus_int(pls,plus_plus_int(pls,plus_plus_int(pls,plus_plus_int(one_one_int,one_one_int)))))))),pls),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_33,c_0_27]),c_0_28]),c_0_28]),c_0_28]),c_0_27]),c_0_29]),c_0_29]),c_0_29]),c_0_27]),c_0_28]),c_0_28]),c_0_28]),c_0_27]),c_0_29]),c_0_29]),c_0_29]),c_0_27]),c_0_27]),c_0_27]),c_0_27]),c_0_27]),c_0_29]),c_0_29]),c_0_29]),c_0_29]),c_0_29]),c_0_29]),c_0_29]),c_0_29]),c_0_30]),c_0_28]),c_0_30]),c_0_34]),c_0_27]),c_0_28]),c_0_28]),c_0_28]),c_0_27]),c_0_29]),c_0_29]),c_0_29]),c_0_27]),c_0_28]),c_0_28]),c_0_28]),c_0_27]),c_0_29]),c_0_29]),c_0_29]),c_0_27]),c_0_27]),c_0_27]),c_0_27]),c_0_27]),c_0_29]),c_0_29]),c_0_29]),c_0_29]),c_0_29]),c_0_29]),c_0_29]),c_0_29]),c_0_30]),c_0_28]),c_0_24]),c_0_35]) ).

cnf(c_0_38,negated_conjecture,
    ~ ord_less_int(plus_plus_int(one_one_int,power_power_int(s,number_number_of_nat(plus_plus_int(pls,plus_plus_int(pls,plus_plus_int(pls,plus_plus_int(pls,plus_plus_int(one_one_int,one_one_int)))))))),pls),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_36,c_0_27]),c_0_27]),c_0_29]),c_0_29]) ).

cnf(c_0_39,plain,
    $false,
    inference(sr,[status(thm)],[c_0_37,c_0_38]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem    : NUM924+2 : TPTP v8.1.2. Released v5.3.0.
% 0.00/0.13  % Command    : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.12/0.33  % Computer : n006.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit   : 300
% 0.12/0.33  % WCLimit    : 300
% 0.12/0.33  % DateTime   : Fri Aug 25 17:13:52 EDT 2023
% 0.12/0.34  % CPUTime  : 
% 0.20/0.56  start to proof: theBenchmark
% 0.20/0.70  % Version  : CSE_E---1.5
% 0.20/0.70  % Problem  : theBenchmark.p
% 0.20/0.70  % Proof found
% 0.20/0.70  % SZS status Theorem for theBenchmark.p
% 0.20/0.70  % SZS output start Proof
% See solution above
% 0.20/0.71  % Total time : 0.118000 s
% 0.20/0.71  % SZS output end Proof
% 0.20/0.71  % Total time : 0.139000 s
%------------------------------------------------------------------------------