TSTP Solution File: NUM924+2 by ET---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : ET---2.0
% Problem  : NUM924+2 : TPTP v8.1.0. Released v5.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_ET %s %d

% Computer : n019.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  : 600s
% DateTime : Mon Jul 18 09:37:41 EDT 2022

% Result   : Theorem 0.28s 1.47s
% Output   : CNFRefutation 0.28s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :   16
% Syntax   : Number of formulae    :   56 (  53 unt;   0 def)
%            Number of atoms       :   59 (  42 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   11 (   8   ~;   2   |;   0   &)
%                                         (   0 <=>;   1  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   2 avg)
%            Maximal term depth    :   16 (   2 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :   15 (  15 usr;   7 con; 0-2 aty)
%            Number of variables   :   56 (   1 sgn  36   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
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/solver/bin/../tmp/theBenchmark.p.mepo_128.in',conj_0) ).

fof(fact_438_comm__semiring__1__class_Onormalizing__semiring__rules_I29_J,axiom,
    ! [X194] : times_times_int(X194,X194) = power_power_int(X194,number_number_of_nat(bit0(bit1(pls)))),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',fact_438_comm__semiring__1__class_Onormalizing__semiring__rules_I29_J) ).

fof(fact_180_Bit0__def,axiom,
    ! [X13] : bit0(X13) = plus_plus_int(X13,X13),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',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/solver/bin/../tmp/theBenchmark.p.mepo_128.in',fact_234_Bit1__def) ).

fof(fact_132_zadd__commute,axiom,
    ! [X14,X12] : plus_plus_int(X14,X12) = plus_plus_int(X12,X14),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',fact_132_zadd__commute) ).

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/solver/bin/../tmp/theBenchmark.p.mepo_128.in',fact_334_comm__semiring__1__class_Onormalizing__semiring__rules_I25_J) ).

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/solver/bin/../tmp/theBenchmark.p.mepo_128.in',fact_131_zadd__left__commute) ).

fof(fact_87_nat__1__add__1,axiom,
    plus_plus_nat(one_one_nat,one_one_nat) = number_number_of_nat(bit0(bit1(pls))),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',fact_87_nat__1__add__1) ).

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/solver/bin/../tmp/theBenchmark.p.mepo_128.in',fact_3_t) ).

fof(fact_35_zmult__commute,axiom,
    ! [X14,X12] : times_times_int(X14,X12) = times_times_int(X12,X14),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',fact_35_zmult__commute) ).

fof(fact_170_Pls__def,axiom,
    pls = zero_zero_int,
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',fact_170_Pls__def) ).

fof(fact_44_zpower__zadd__distrib,axiom,
    ! [X3,X4,X14] : power_power_int(X3,plus_plus_nat(X4,X14)) = times_times_int(power_power_int(X3,X4),power_power_int(X3,X14)),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',fact_44_zpower__zadd__distrib) ).

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/solver/bin/../tmp/theBenchmark.p.mepo_128.in',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(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/solver/bin/../tmp/theBenchmark.p.mepo_128.in',fact_362_comm__semiring__1__class_Onormalizing__semiring__rules_I10_J) ).

fof(fact_346_comm__semiring__1__class_Onormalizing__semiring__rules_I33_J,axiom,
    ! [X150] :
      ( is_int(X150)
     => power_power_int(X150,one_one_nat) = X150 ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',fact_346_comm__semiring__1__class_Onormalizing__semiring__rules_I33_J) ).

fof(gsy_v_s____,hypothesis,
    is_int(s),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',gsy_v_s____) ).

fof(c_0_16,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(assume_negation,[status(cth)],[conj_0]) ).

fof(c_0_17,plain,
    ! [X195] : times_times_int(X195,X195) = power_power_int(X195,number_number_of_nat(bit0(bit1(pls)))),
    inference(variable_rename,[status(thm)],[fact_438_comm__semiring__1__class_Onormalizing__semiring__rules_I29_J]) ).

fof(c_0_18,plain,
    ! [X14] : bit0(X14) = plus_plus_int(X14,X14),
    inference(variable_rename,[status(thm)],[fact_180_Bit0__def]) ).

fof(c_0_19,plain,
    ! [X14] : bit1(X14) = plus_plus_int(plus_plus_int(one_one_int,X14),X14),
    inference(variable_rename,[status(thm)],[fact_234_Bit1__def]) ).

fof(c_0_20,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)],[c_0_16]) ).

cnf(c_0_21,plain,
    times_times_int(X1,X1) = power_power_int(X1,number_number_of_nat(bit0(bit1(pls)))),
    inference(split_conjunct,[status(thm)],[c_0_17]) ).

cnf(c_0_22,plain,
    bit0(X1) = plus_plus_int(X1,X1),
    inference(split_conjunct,[status(thm)],[c_0_18]) ).

cnf(c_0_23,plain,
    bit1(X1) = plus_plus_int(plus_plus_int(one_one_int,X1),X1),
    inference(split_conjunct,[status(thm)],[c_0_19]) ).

fof(c_0_24,plain,
    ! [X15,X16] : plus_plus_int(X15,X16) = plus_plus_int(X16,X15),
    inference(variable_rename,[status(thm)],[fact_132_zadd__commute]) ).

fof(c_0_25,plain,
    ! [X140,X141,X142] : plus_plus_int(X140,plus_plus_int(X141,X142)) = plus_plus_int(plus_plus_int(X140,X141),X142),
    inference(variable_rename,[status(thm)],[fact_334_comm__semiring__1__class_Onormalizing__semiring__rules_I25_J]) ).

fof(c_0_26,plain,
    ! [X15,X16,X17] : plus_plus_int(X15,plus_plus_int(X16,X17)) = plus_plus_int(X16,plus_plus_int(X15,X17)),
    inference(variable_rename,[status(thm)],[fact_131_zadd__left__commute]) ).

cnf(c_0_27,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_20]) ).

cnf(c_0_28,plain,
    plus_plus_nat(one_one_nat,one_one_nat) = number_number_of_nat(bit0(bit1(pls))),
    inference(split_conjunct,[status(thm)],[fact_87_nat__1__add__1]) ).

cnf(c_0_29,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_30,plain,
    ! [X15,X16] : times_times_int(X15,X16) = times_times_int(X16,X15),
    inference(variable_rename,[status(thm)],[fact_35_zmult__commute]) ).

cnf(c_0_31,plain,
    times_times_int(X1,X1) = power_power_int(X1,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)))),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_21,c_0_22]),c_0_23]),c_0_23]) ).

cnf(c_0_32,plain,
    pls = zero_zero_int,
    inference(split_conjunct,[status(thm)],[fact_170_Pls__def]) ).

cnf(c_0_33,plain,
    plus_plus_int(X1,X2) = plus_plus_int(X2,X1),
    inference(split_conjunct,[status(thm)],[c_0_24]) ).

cnf(c_0_34,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_25]) ).

cnf(c_0_35,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_26]) ).

cnf(c_0_36,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_27,c_0_22]),c_0_23]),c_0_23]) ).

cnf(c_0_37,plain,
    plus_plus_nat(one_one_nat,one_one_nat) = 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))),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_28,c_0_22]),c_0_23]),c_0_23]) ).

fof(c_0_38,plain,
    ! [X15,X16,X17] : power_power_int(X15,plus_plus_nat(X16,X17)) = times_times_int(power_power_int(X15,X16),power_power_int(X15,X17)),
    inference(variable_rename,[status(thm)],[fact_44_zpower__zadd__distrib]) ).

cnf(c_0_39,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_40,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_29,c_0_22]),c_0_22]),c_0_22]),c_0_23]),c_0_23]),c_0_23]),c_0_23]),c_0_23]),c_0_23]) ).

cnf(c_0_41,plain,
    times_times_int(X1,X2) = times_times_int(X2,X1),
    inference(split_conjunct,[status(thm)],[c_0_30]) ).

cnf(c_0_42,plain,
    power_power_int(X1,number_number_of_nat(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(one_one_int,one_one_int))))))) = times_times_int(X1,X1),
    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_31,c_0_32]),c_0_33]),c_0_32]),c_0_33]),c_0_32]),c_0_33]),c_0_32]),c_0_33]),c_0_34]),c_0_34]),c_0_35]),c_0_35]) ).

fof(c_0_43,plain,
    ! [X157] : times_times_int(X157,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_44,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,zero_zero_int),zero_zero_int),plus_plus_int(plus_plus_int(one_one_int,zero_zero_int),zero_zero_int)))),one_one_int),zero_zero_int),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_36,c_0_32]),c_0_32]),c_0_32]),c_0_32]) ).

cnf(c_0_45,plain,
    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_nat(one_one_nat,one_one_nat),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_37,c_0_32]),c_0_32]),c_0_32]),c_0_32]) ).

cnf(c_0_46,plain,
    power_power_int(X1,plus_plus_nat(X2,X3)) = times_times_int(power_power_int(X1,X2),power_power_int(X1,X3)),
    inference(split_conjunct,[status(thm)],[c_0_38]) ).

fof(c_0_47,plain,
    ! [X151] :
      ( ~ is_int(X151)
      | power_power_int(X151,one_one_nat) = X151 ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_346_comm__semiring__1__class_Onormalizing__semiring__rules_I33_J])]) ).

cnf(c_0_48,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_39,c_0_22]),c_0_22]),c_0_22]),c_0_22]),c_0_23]),c_0_23]),c_0_23]),c_0_23]),c_0_23]),c_0_23]),c_0_23]),c_0_23]) ).

cnf(c_0_49,plain,
    times_times_int(t,plus_plus_int(one_one_int,times_times_int(m,number_number_of_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,plus_plus_int(zero_zero_int,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,times_times_int(s,s)),
    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_40,c_0_32]),c_0_33]),c_0_32]),c_0_33]),c_0_32]),c_0_33]),c_0_32]),c_0_33]),c_0_34]),c_0_34]),c_0_35]),c_0_35]),c_0_32]),c_0_33]),c_0_32]),c_0_33]),c_0_32]),c_0_33]),c_0_32]),c_0_33]),c_0_34]),c_0_34]),c_0_35]),c_0_35]),c_0_34]),c_0_34]),c_0_34]),c_0_34]),c_0_34]),c_0_35]),c_0_35]),c_0_35]),c_0_35]),c_0_35]),c_0_35]),c_0_35]),c_0_35]),c_0_41]),c_0_33]),c_0_41]),c_0_32]),c_0_33]),c_0_32]),c_0_33]),c_0_32]),c_0_33]),c_0_32]),c_0_33]),c_0_34]),c_0_34]),c_0_35]),c_0_35]),c_0_42]),c_0_33]) ).

cnf(c_0_50,plain,
    times_times_int(X1,zero_zero_int) = zero_zero_int,
    inference(split_conjunct,[status(thm)],[c_0_43]) ).

cnf(c_0_51,negated_conjecture,
    ~ ord_less_int(plus_plus_int(one_one_int,times_times_int(power_power_int(s,one_one_nat),power_power_int(s,one_one_nat))),zero_zero_int),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_44,c_0_45]),c_0_46]),c_0_33]) ).

cnf(c_0_52,plain,
    ( power_power_int(X1,one_one_nat) = X1
    | ~ is_int(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_47]) ).

cnf(c_0_53,plain,
    ord_less_int(plus_plus_int(one_one_int,times_times_int(s,s)),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)],[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)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_48,c_0_32]),c_0_33]),c_0_32]),c_0_33]),c_0_32]),c_0_33]),c_0_32]),c_0_33]),c_0_34]),c_0_34]),c_0_35]),c_0_35]),c_0_32]),c_0_33]),c_0_32]),c_0_33]),c_0_32]),c_0_33]),c_0_32]),c_0_33]),c_0_34]),c_0_34]),c_0_35]),c_0_35]),c_0_34]),c_0_34]),c_0_34]),c_0_34]),c_0_34]),c_0_35]),c_0_35]),c_0_35]),c_0_35]),c_0_35]),c_0_35]),c_0_35]),c_0_35]),c_0_41]),c_0_33]),c_0_41]),c_0_49]),c_0_32]),c_0_33]),c_0_32]),c_0_33]),c_0_32]),c_0_33]),c_0_32]),c_0_33]),c_0_34]),c_0_34]),c_0_35]),c_0_35]),c_0_32]),c_0_33]),c_0_32]),c_0_33]),c_0_32]),c_0_33]),c_0_32]),c_0_33]),c_0_34]),c_0_34]),c_0_35]),c_0_35]),c_0_34]),c_0_34]),c_0_34]),c_0_34]),c_0_34]),c_0_35]),c_0_35]),c_0_35]),c_0_35]),c_0_35]),c_0_35]),c_0_35]),c_0_35]),c_0_41]),c_0_33]),c_0_50]) ).

cnf(c_0_54,hypothesis,
    is_int(s),
    inference(split_conjunct,[status(thm)],[gsy_v_s____]) ).

cnf(c_0_55,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_52]),c_0_53]),c_0_54])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12  % Problem  : NUM924+2 : TPTP v8.1.0. Released v5.3.0.
% 0.04/0.13  % Command  : run_ET %s %d
% 0.13/0.34  % Computer : n019.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 600
% 0.13/0.34  % DateTime : Thu Jul  7 21:25:53 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.28/1.47  # Running protocol protocol_eprover_29fa5c60d0ee03ec4f64b055553dc135fbe4ee3a for 23 seconds:
% 0.28/1.47  # Preprocessing time       : 0.065 s
% 0.28/1.47  
% 0.28/1.47  # Proof found!
% 0.28/1.47  # SZS status Theorem
% 0.28/1.47  # SZS output start CNFRefutation
% See solution above
% 0.28/1.47  # Proof object total steps             : 56
% 0.28/1.47  # Proof object clause steps            : 28
% 0.28/1.47  # Proof object formula steps           : 28
% 0.28/1.47  # Proof object conjectures             : 8
% 0.28/1.47  # Proof object clause conjectures      : 5
% 0.28/1.47  # Proof object formula conjectures     : 3
% 0.28/1.47  # Proof object initial clauses used    : 16
% 0.28/1.47  # Proof object initial formulas used   : 16
% 0.28/1.47  # Proof object generating inferences   : 1
% 0.28/1.47  # Proof object simplifying inferences  : 191
% 0.28/1.47  # Training examples: 0 positive, 0 negative
% 0.28/1.47  # Parsed axioms                        : 716
% 0.28/1.47  # Removed by relevancy pruning/SinE    : 0
% 0.28/1.47  # Initial clauses                      : 955
% 0.28/1.47  # Removed in clause preprocessing      : 24
% 0.28/1.47  # Initial clauses in saturation        : 931
% 0.28/1.47  # Processed clauses                    : 992
% 0.28/1.47  # ...of these trivial                  : 118
% 0.28/1.47  # ...subsumed                          : 168
% 0.28/1.47  # ...remaining for further processing  : 706
% 0.28/1.47  # Other redundant clauses eliminated   : 26
% 0.28/1.47  # Clauses deleted for lack of memory   : 0
% 0.28/1.47  # Backward-subsumed                    : 3
% 0.28/1.47  # Backward-rewritten                   : 63
% 0.28/1.47  # Generated clauses                    : 15698
% 0.28/1.47  # ...of the previous two non-trivial   : 13607
% 0.28/1.47  # Contextual simplify-reflections      : 10
% 0.28/1.47  # Paramodulations                      : 15654
% 0.28/1.47  # Factorizations                       : 7
% 0.28/1.47  # Equation resolutions                 : 37
% 0.28/1.47  # Current number of processed clauses  : 625
% 0.28/1.47  #    Positive orientable unit clauses  : 153
% 0.28/1.47  #    Positive unorientable unit clauses: 27
% 0.28/1.47  #    Negative unit clauses             : 24
% 0.28/1.47  #    Non-unit-clauses                  : 421
% 0.28/1.47  # Current number of unprocessed clauses: 12443
% 0.28/1.47  # ...number of literals in the above   : 34027
% 0.28/1.47  # Current number of archived formulas  : 0
% 0.28/1.47  # Current number of archived clauses   : 68
% 0.28/1.47  # Clause-clause subsumption calls (NU) : 34197
% 0.28/1.47  # Rec. Clause-clause subsumption calls : 15061
% 0.28/1.47  # Non-unit clause-clause subsumptions  : 134
% 0.28/1.47  # Unit Clause-clause subsumption calls : 1649
% 0.28/1.47  # Rewrite failures with RHS unbound    : 0
% 0.28/1.47  # BW rewrite match attempts            : 384
% 0.28/1.47  # BW rewrite match successes           : 182
% 0.28/1.47  # Condensation attempts                : 0
% 0.28/1.47  # Condensation successes               : 0
% 0.28/1.47  # Termbank termtop insertions          : 347427
% 0.28/1.47  
% 0.28/1.47  # -------------------------------------------------
% 0.28/1.47  # User time                : 0.248 s
% 0.28/1.47  # System time              : 0.019 s
% 0.28/1.47  # Total time               : 0.267 s
% 0.28/1.47  # Maximum resident set size: 19368 pages
% 0.30/23.45  eprover: CPU time limit exceeded, terminating
% 0.30/23.47  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.30/23.47  eprover: No such file or directory
% 0.30/23.48  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.30/23.48  eprover: No such file or directory
% 0.30/23.48  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.30/23.48  eprover: No such file or directory
% 0.30/23.48  eprover: CPU time limit exceeded, terminating
% 0.30/23.49  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.30/23.49  eprover: No such file or directory
% 0.30/23.49  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.30/23.49  eprover: No such file or directory
% 0.30/23.50  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.30/23.50  eprover: No such file or directory
% 0.30/23.51  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.30/23.51  eprover: No such file or directory
% 0.30/23.51  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.30/23.51  eprover: No such file or directory
% 0.30/23.51  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.30/23.51  eprover: No such file or directory
% 0.30/23.52  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.30/23.52  eprover: No such file or directory
% 0.30/23.52  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.30/23.52  eprover: No such file or directory
% 0.30/23.52  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.30/23.52  eprover: No such file or directory
% 0.30/23.52  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.30/23.52  eprover: No such file or directory
% 0.30/23.53  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.30/23.53  eprover: No such file or directory
% 0.30/23.53  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.30/23.53  eprover: No such file or directory
% 0.30/23.53  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.30/23.53  eprover: No such file or directory
% 0.30/23.54  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.30/23.54  eprover: No such file or directory
% 0.30/23.54  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.30/23.54  eprover: No such file or directory
% 0.30/23.55  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.30/23.55  eprover: No such file or directory
% 0.30/23.56  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.30/23.56  eprover: No such file or directory
% 0.30/23.56  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.30/23.56  eprover: No such file or directory
% 0.30/23.57  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.30/23.57  eprover: No such file or directory
%------------------------------------------------------------------------------