TSTP Solution File: NUM924+6 by E---3.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E---3.1
% Problem  : NUM924+6 : TPTP v8.1.2. Released v5.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n007.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 : 2400s
% WCLimit  : 300s
% DateTime : Tue Oct 10 18:57:58 EDT 2023

% Result   : Theorem 0.33s 0.66s
% Output   : CNFRefutation 0.33s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :   16
% Syntax   : Number of formulae    :   59 (  59 unt;   0 def)
%            Number of atoms       :   59 (  48 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :    5 (   5   ~;   0   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   2 avg)
%            Maximal term depth    :   10 (   2 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-3 aty)
%            Number of functors    :   15 (  15 usr;   6 con; 0-3 aty)
%            Number of variables   :   64 (   1 sgn;  38   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(fact_127_add__Pls__right,axiom,
    ! [X14] : plus_plus(int,X14,pls) = ti(int,X14),
    file('/export/starexec/sandbox2/tmp/tmp.ozrPcUjirr/E---3.1_32126.p',fact_127_add__Pls__right) ).

fof(fact_22_number__of__is__id,axiom,
    ! [X14] : number_number_of(int,X14) = ti(int,X14),
    file('/export/starexec/sandbox2/tmp/tmp.ozrPcUjirr/E---3.1_32126.p',fact_22_number__of__is__id) ).

fof(tsy_c_Int_OBit0_res,hypothesis,
    ! [X1] : ti(int,bit0(X1)) = bit0(X1),
    file('/export/starexec/sandbox2/tmp/tmp.ozrPcUjirr/E---3.1_32126.p',tsy_c_Int_OBit0_res) ).

fof(fact_130_Bit0__def,axiom,
    ! [X14] : bit0(X14) = plus_plus(int,X14,X14),
    file('/export/starexec/sandbox2/tmp/tmp.ozrPcUjirr/E---3.1_32126.p',fact_130_Bit0__def) ).

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/sandbox2/tmp/tmp.ozrPcUjirr/E---3.1_32126.p',conj_0) ).

fof(fact_162_Bit1__def,axiom,
    ! [X14] : bit1(X14) = plus_plus(int,plus_plus(int,one_one(int),X14),X14),
    file('/export/starexec/sandbox2/tmp/tmp.ozrPcUjirr/E---3.1_32126.p',fact_162_Bit1__def) ).

fof(fact_67_plus__numeral__code_I9_J,axiom,
    ! [X12,X11] : plus_plus(int,number_number_of(int,X12),number_number_of(int,X11)) = number_number_of(int,plus_plus(int,X12,X11)),
    file('/export/starexec/sandbox2/tmp/tmp.ozrPcUjirr/E---3.1_32126.p',fact_67_plus__numeral__code_I9_J) ).

fof(fact_96_zadd__commute,axiom,
    ! [X15,X11] : plus_plus(int,X15,X11) = plus_plus(int,X11,X15),
    file('/export/starexec/sandbox2/tmp/tmp.ozrPcUjirr/E---3.1_32126.p',fact_96_zadd__commute) ).

fof(fact_128_add__Pls,axiom,
    ! [X14] : plus_plus(int,pls,X14) = ti(int,X14),
    file('/export/starexec/sandbox2/tmp/tmp.ozrPcUjirr/E---3.1_32126.p',fact_128_add__Pls) ).

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/sandbox2/tmp/tmp.ozrPcUjirr/E---3.1_32126.p',fact_3_t) ).

fof(fact_94_zadd__assoc,axiom,
    ! [X18,X19,X20] : plus_plus(int,plus_plus(int,X18,X19),X20) = plus_plus(int,X18,plus_plus(int,X19,X20)),
    file('/export/starexec/sandbox2/tmp/tmp.ozrPcUjirr/E---3.1_32126.p',fact_94_zadd__assoc) ).

fof(fact_95_zadd__left__commute,axiom,
    ! [X5,X6,X15] : plus_plus(int,X5,plus_plus(int,X6,X15)) = plus_plus(int,X6,plus_plus(int,X5,X15)),
    file('/export/starexec/sandbox2/tmp/tmp.ozrPcUjirr/E---3.1_32126.p',fact_95_zadd__left__commute) ).

fof(fact_23_zmult__commute,axiom,
    ! [X15,X11] : times_times(int,X15,X11) = times_times(int,X11,X15),
    file('/export/starexec/sandbox2/tmp/tmp.ozrPcUjirr/E---3.1_32126.p',fact_23_zmult__commute) ).

fof(fact_120_Pls__def,axiom,
    pls = zero_zero(int),
    file('/export/starexec/sandbox2/tmp/tmp.ozrPcUjirr/E---3.1_32126.p',fact_120_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/sandbox2/tmp/tmp.ozrPcUjirr/E---3.1_32126.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(fact_62_mult__Pls,axiom,
    ! [X11] : times_times(int,pls,X11) = pls,
    file('/export/starexec/sandbox2/tmp/tmp.ozrPcUjirr/E---3.1_32126.p',fact_62_mult__Pls) ).

fof(c_0_16,plain,
    ! [X434] : plus_plus(int,X434,pls) = ti(int,X434),
    inference(variable_rename,[status(thm)],[fact_127_add__Pls__right]) ).

fof(c_0_17,plain,
    ! [X231] : number_number_of(int,X231) = ti(int,X231),
    inference(variable_rename,[status(thm)],[fact_22_number__of__is__id]) ).

fof(c_0_18,hypothesis,
    ! [X163] : ti(int,bit0(X163)) = bit0(X163),
    inference(variable_rename,[status(thm)],[tsy_c_Int_OBit0_res]) ).

fof(c_0_19,plain,
    ! [X438] : bit0(X438) = plus_plus(int,X438,X438),
    inference(variable_rename,[status(thm)],[fact_130_Bit0__def]) ).

cnf(c_0_20,plain,
    plus_plus(int,X1,pls) = ti(int,X1),
    inference(split_conjunct,[status(thm)],[c_0_16]) ).

cnf(c_0_21,plain,
    number_number_of(int,X1) = ti(int,X1),
    inference(split_conjunct,[status(thm)],[c_0_17]) ).

fof(c_0_22,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_23,plain,
    ! [X493] : bit1(X493) = plus_plus(int,plus_plus(int,one_one(int),X493),X493),
    inference(variable_rename,[status(thm)],[fact_162_Bit1__def]) ).

fof(c_0_24,plain,
    ! [X318,X319] : plus_plus(int,number_number_of(int,X318),number_number_of(int,X319)) = number_number_of(int,plus_plus(int,X318,X319)),
    inference(variable_rename,[status(thm)],[fact_67_plus__numeral__code_I9_J]) ).

fof(c_0_25,plain,
    ! [X380,X381] : plus_plus(int,X380,X381) = plus_plus(int,X381,X380),
    inference(variable_rename,[status(thm)],[fact_96_zadd__commute]) ).

fof(c_0_26,plain,
    ! [X435] : plus_plus(int,pls,X435) = ti(int,X435),
    inference(variable_rename,[status(thm)],[fact_128_add__Pls]) ).

cnf(c_0_27,hypothesis,
    ti(int,bit0(X1)) = bit0(X1),
    inference(split_conjunct,[status(thm)],[c_0_18]) ).

cnf(c_0_28,plain,
    bit0(X1) = plus_plus(int,X1,X1),
    inference(split_conjunct,[status(thm)],[c_0_19]) ).

cnf(c_0_29,plain,
    number_number_of(int,X1) = plus_plus(int,X1,pls),
    inference(rw,[status(thm)],[c_0_20,c_0_21]) ).

cnf(c_0_30,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_22]) ).

cnf(c_0_31,plain,
    bit1(X1) = plus_plus(int,plus_plus(int,one_one(int),X1),X1),
    inference(split_conjunct,[status(thm)],[c_0_23]) ).

cnf(c_0_32,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]) ).

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

cnf(c_0_34,plain,
    plus_plus(int,X1,X2) = plus_plus(int,X2,X1),
    inference(split_conjunct,[status(thm)],[c_0_25]) ).

cnf(c_0_35,plain,
    plus_plus(int,pls,X1) = ti(int,X1),
    inference(split_conjunct,[status(thm)],[c_0_26]) ).

fof(c_0_36,plain,
    ! [X374,X375,X376] : plus_plus(int,plus_plus(int,X374,X375),X376) = plus_plus(int,X374,plus_plus(int,X375,X376)),
    inference(variable_rename,[status(thm)],[fact_94_zadd__assoc]) ).

fof(c_0_37,plain,
    ! [X377,X378,X379] : plus_plus(int,X377,plus_plus(int,X378,X379)) = plus_plus(int,X378,plus_plus(int,X377,X379)),
    inference(variable_rename,[status(thm)],[fact_95_zadd__left__commute]) ).

cnf(c_0_38,hypothesis,
    ti(int,plus_plus(int,X1,X1)) = plus_plus(int,X1,X1),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_27,c_0_28]),c_0_28]) ).

cnf(c_0_39,plain,
    ti(int,X1) = plus_plus(int,X1,pls),
    inference(rw,[status(thm)],[c_0_21,c_0_29]) ).

fof(c_0_40,plain,
    ! [X232,X233] : times_times(int,X232,X233) = times_times(int,X233,X232),
    inference(variable_rename,[status(thm)],[fact_23_zmult__commute]) ).

cnf(c_0_41,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_30,c_0_28]),c_0_31]),c_0_31]) ).

cnf(c_0_42,plain,
    pls = zero_zero(int),
    inference(split_conjunct,[status(thm)],[fact_120_Pls__def]) ).

cnf(c_0_43,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_44,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_32,c_0_28]),c_0_28]),c_0_28]),c_0_31]),c_0_31]),c_0_31]),c_0_31]),c_0_31]),c_0_31]) ).

cnf(c_0_45,plain,
    plus_plus(int,plus_plus(int,X1,pls),plus_plus(int,X2,pls)) = plus_plus(int,pls,plus_plus(int,X1,X2)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_33,c_0_29]),c_0_29]),c_0_29]),c_0_34]) ).

cnf(c_0_46,plain,
    plus_plus(int,X1,pls) = plus_plus(int,pls,X1),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_35,c_0_21]),c_0_29]) ).

cnf(c_0_47,plain,
    plus_plus(int,plus_plus(int,X1,X2),X3) = plus_plus(int,X1,plus_plus(int,X2,X3)),
    inference(split_conjunct,[status(thm)],[c_0_36]) ).

cnf(c_0_48,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_37]) ).

cnf(c_0_49,hypothesis,
    plus_plus(int,pls,plus_plus(int,X1,X1)) = plus_plus(int,X1,X1),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_38,c_0_39]),c_0_34]) ).

cnf(c_0_50,plain,
    times_times(int,X1,X2) = times_times(int,X2,X1),
    inference(split_conjunct,[status(thm)],[c_0_40]) ).

fof(c_0_51,plain,
    ! [X311] : times_times(int,pls,X311) = pls,
    inference(variable_rename,[status(thm)],[fact_62_mult__Pls]) ).

cnf(c_0_52,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_41,c_0_42]) ).

cnf(c_0_53,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_43,c_0_28]),c_0_28]),c_0_28]),c_0_28]),c_0_31]),c_0_31]),c_0_31]),c_0_31]),c_0_31]),c_0_31]),c_0_31]),c_0_31]) ).

cnf(c_0_54,plain,
    times_times(int,t,plus_plus(int,one_one(int),times_times(int,m,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,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)],[c_0_44,c_0_45]),c_0_46]),c_0_46]),c_0_47]),c_0_48]),c_0_49]),c_0_49]),c_0_49]),c_0_45]),c_0_46]),c_0_46]),c_0_47]),c_0_48]),c_0_49]),c_0_49]),c_0_49]),c_0_47]),c_0_29]),c_0_47]),c_0_47]),c_0_47]),c_0_46]),c_0_48]),c_0_49]),c_0_50]),c_0_34]),c_0_50]),c_0_34]),c_0_45]),c_0_46]),c_0_46]),c_0_47]),c_0_48]),c_0_49]),c_0_49]),c_0_49]) ).

cnf(c_0_55,plain,
    times_times(int,pls,X1) = pls,
    inference(split_conjunct,[status(thm)],[c_0_51]) ).

cnf(c_0_56,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_52,c_0_34]),c_0_46]),c_0_46]),c_0_46]),c_0_46]) ).

cnf(c_0_57,plain,
    ord_less(int,plus_plus(int,one_one(int),power_power(int,s,number_number_of(nat,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)],[c_0_53,c_0_45]),c_0_46]),c_0_46]),c_0_47]),c_0_48]),c_0_49]),c_0_49]),c_0_49]),c_0_45]),c_0_46]),c_0_46]),c_0_47]),c_0_48]),c_0_49]),c_0_49]),c_0_49]),c_0_47]),c_0_29]),c_0_47]),c_0_47]),c_0_47]),c_0_46]),c_0_48]),c_0_49]),c_0_50]),c_0_34]),c_0_50]),c_0_54]),c_0_45]),c_0_46]),c_0_46]),c_0_47]),c_0_48]),c_0_49]),c_0_49]),c_0_49]),c_0_45]),c_0_46]),c_0_46]),c_0_47]),c_0_48]),c_0_49]),c_0_49]),c_0_49]),c_0_47]),c_0_29]),c_0_47]),c_0_47]),c_0_47]),c_0_46]),c_0_48]),c_0_49]),c_0_50]),c_0_34]),c_0_42]),c_0_50]),c_0_55]) ).

cnf(c_0_58,negated_conjecture,
    $false,
    inference(cn,[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_56,c_0_47]),c_0_47]),c_0_48]),c_0_48]),c_0_49]),c_0_49]),c_0_49]),c_0_49]),c_0_57])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.17  % Problem    : NUM924+6 : TPTP v8.1.2. Released v5.3.0.
% 0.11/0.17  % Command    : run_E %s %d THM
% 0.16/0.37  % Computer : n007.cluster.edu
% 0.16/0.37  % Model    : x86_64 x86_64
% 0.16/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.37  % Memory   : 8042.1875MB
% 0.16/0.37  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.37  % CPULimit   : 2400
% 0.16/0.37  % WCLimit    : 300
% 0.16/0.37  % DateTime   : Mon Oct  2 13:32:39 EDT 2023
% 0.16/0.37  % CPUTime    : 
% 0.20/0.51  Running first-order theorem proving
% 0.20/0.51  Running: /export/starexec/sandbox2/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox2/tmp/tmp.ozrPcUjirr/E---3.1_32126.p
% 0.33/0.66  # Version: 3.1pre001
% 0.33/0.66  # Preprocessing class: FSLSSMSMSSSNFFN.
% 0.33/0.66  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.33/0.66  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.33/0.66  # Starting new_bool_3 with 300s (1) cores
% 0.33/0.66  # Starting new_bool_1 with 300s (1) cores
% 0.33/0.66  # Starting sh5l with 300s (1) cores
% 0.33/0.66  # C07_19_nc_SOS_SAT001_MinMin_p005000_rr with pid 32205 completed with status 0
% 0.33/0.66  # Result found by C07_19_nc_SOS_SAT001_MinMin_p005000_rr
% 0.33/0.66  # Preprocessing class: FSLSSMSMSSSNFFN.
% 0.33/0.66  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.33/0.66  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.33/0.66  # No SInE strategy applied
% 0.33/0.66  # Search class: FGHSM-FSLM32-DFFFFFNN
% 0.33/0.66  # Scheduled 13 strats onto 5 cores with 1500 seconds (1500 total)
% 0.33/0.66  # Starting G-E--_301_C18_F1_URBAN_S5PRR_S0Y with 113s (1) cores
% 0.33/0.66  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 151s (1) cores
% 0.33/0.66  # Starting G-E--_300_C18_F1_SE_CS_SP_PS_S0Y with 113s (1) cores
% 0.33/0.66  # Starting U----_206c_05_B11_00_F1_SE_PI_CS_SP_PS_S5PRR_RG_S04AN with 113s (1) cores
% 0.33/0.66  # Starting G-E--_208_B07_F1_AE_CS_SP_PS_S5PRR_S0Y with 113s (1) cores
% 0.33/0.66  # C07_19_nc_SOS_SAT001_MinMin_p005000_rr with pid 32213 completed with status 0
% 0.33/0.66  # Result found by C07_19_nc_SOS_SAT001_MinMin_p005000_rr
% 0.33/0.66  # Preprocessing class: FSLSSMSMSSSNFFN.
% 0.33/0.66  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.33/0.66  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.33/0.66  # No SInE strategy applied
% 0.33/0.66  # Search class: FGHSM-FSLM32-DFFFFFNN
% 0.33/0.66  # Scheduled 13 strats onto 5 cores with 1500 seconds (1500 total)
% 0.33/0.66  # Starting G-E--_301_C18_F1_URBAN_S5PRR_S0Y with 113s (1) cores
% 0.33/0.66  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 151s (1) cores
% 0.33/0.66  # Preprocessing time       : 0.011 s
% 0.33/0.66  # Presaturation interreduction done
% 0.33/0.66  
% 0.33/0.66  # Proof found!
% 0.33/0.66  # SZS status Theorem
% 0.33/0.66  # SZS output start CNFRefutation
% See solution above
% 0.33/0.66  # Parsed axioms                        : 650
% 0.33/0.66  # Removed by relevancy pruning/SinE    : 0
% 0.33/0.66  # Initial clauses                      : 850
% 0.33/0.66  # Removed in clause preprocessing      : 8
% 0.33/0.66  # Initial clauses in saturation        : 842
% 0.33/0.66  # Processed clauses                    : 1082
% 0.33/0.66  # ...of these trivial                  : 10
% 0.33/0.66  # ...subsumed                          : 93
% 0.33/0.66  # ...remaining for further processing  : 978
% 0.33/0.66  # Other redundant clauses eliminated   : 24
% 0.33/0.66  # Clauses deleted for lack of memory   : 0
% 0.33/0.66  # Backward-subsumed                    : 2
% 0.33/0.66  # Backward-rewritten                   : 45
% 0.33/0.66  # Generated clauses                    : 70
% 0.33/0.66  # ...of the previous two non-redundant : 91
% 0.33/0.66  # ...aggressively subsumed             : 0
% 0.33/0.66  # Contextual simplify-reflections      : 1
% 0.33/0.66  # Paramodulations                      : 49
% 0.33/0.66  # Factorizations                       : 0
% 0.33/0.66  # NegExts                              : 0
% 0.33/0.66  # Equation resolutions                 : 24
% 0.33/0.66  # Total rewrite steps                  : 2697
% 0.33/0.66  # Propositional unsat checks           : 0
% 0.33/0.66  #    Propositional check models        : 0
% 0.33/0.66  #    Propositional check unsatisfiable : 0
% 0.33/0.66  #    Propositional clauses             : 0
% 0.33/0.66  #    Propositional clauses after purity: 0
% 0.33/0.66  #    Propositional unsat core size     : 0
% 0.33/0.66  #    Propositional preprocessing time  : 0.000
% 0.33/0.66  #    Propositional encoding time       : 0.000
% 0.33/0.66  #    Propositional solver time         : 0.000
% 0.33/0.66  #    Success case prop preproc time    : 0.000
% 0.33/0.66  #    Success case prop encoding time   : 0.000
% 0.33/0.66  #    Success case prop solver time     : 0.000
% 0.33/0.66  # Current number of processed clauses  : 169
% 0.33/0.66  #    Positive orientable unit clauses  : 126
% 0.33/0.66  #    Positive unorientable unit clauses: 0
% 0.33/0.66  #    Negative unit clauses             : 16
% 0.33/0.66  #    Non-unit-clauses                  : 27
% 0.33/0.66  # Current number of unprocessed clauses: 592
% 0.33/0.66  # ...number of literals in the above   : 1479
% 0.33/0.66  # Current number of archived formulas  : 0
% 0.33/0.66  # Current number of archived clauses   : 790
% 0.33/0.66  # Clause-clause subsumption calls (NU) : 37896
% 0.33/0.66  # Rec. Clause-clause subsumption calls : 20364
% 0.33/0.66  # Non-unit clause-clause subsumptions  : 75
% 0.33/0.66  # Unit Clause-clause subsumption calls : 239
% 0.33/0.66  # Rewrite failures with RHS unbound    : 0
% 0.33/0.66  # BW rewrite match attempts            : 781
% 0.33/0.66  # BW rewrite match successes           : 118
% 0.33/0.66  # Condensation attempts                : 0
% 0.33/0.66  # Condensation successes               : 0
% 0.33/0.66  # Termbank termtop insertions          : 75526
% 0.33/0.66  
% 0.33/0.66  # -------------------------------------------------
% 0.33/0.66  # User time                : 0.102 s
% 0.33/0.66  # System time              : 0.014 s
% 0.33/0.66  # Total time               : 0.116 s
% 0.33/0.66  # Maximum resident set size: 5080 pages
% 0.33/0.66  
% 0.33/0.66  # -------------------------------------------------
% 0.33/0.66  # User time                : 0.401 s
% 0.33/0.66  # System time              : 0.046 s
% 0.33/0.66  # Total time               : 0.447 s
% 0.33/0.66  # Maximum resident set size: 2444 pages
% 0.33/0.66  % E---3.1 exiting
% 0.33/0.66  % E---3.1 exiting
%------------------------------------------------------------------------------