TSTP Solution File: NUM924+6 by Etableau---0.67

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Etableau---0.67
% Problem  : NUM924+6 : TPTP v8.1.0. Released v5.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : etableau --auto --tsmdo --quicksat=10000 --tableau=1 --tableau-saturation=1 -s -p --tableau-cores=8 --cpu-limit=%d %s

% Computer : n008.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 09:46:44 EDT 2022

% Result   : Theorem 0.21s 0.49s
% Output   : CNFRefutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :   15
% Syntax   : Number of formulae    :   58 (  58 unt;   0 def)
%            Number of atoms       :   58 (  46 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :    7 (   7   ~;   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   :   49 (   2 sgn  30   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(fact_130_Bit0__def,axiom,
    ! [X14] : bit0(X14) = plus_plus(int,X14,X14),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_130_Bit0__def) ).

fof(fact_162_Bit1__def,axiom,
    ! [X14] : bit1(X14) = plus_plus(int,plus_plus(int,one_one(int),X14),X14),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_162_Bit1__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/sandbox/benchmark/theBenchmark.p',conj_0) ).

fof(fact_61_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/benchmark/theBenchmark.p',fact_61_nat__1__add__1) ).

fof(fact_127_add__Pls__right,axiom,
    ! [X14] : plus_plus(int,X14,pls) = ti(int,X14),
    file('/export/starexec/sandbox/benchmark/theBenchmark.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/sandbox/benchmark/theBenchmark.p',fact_22_number__of__is__id) ).

fof(tsy_c_Int_OBit0_res,hypothesis,
    ! [X1] : ti(int,bit0(X1)) = bit0(X1),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tsy_c_Int_OBit0_res) ).

fof(fact_120_Pls__def,axiom,
    pls = zero_zero(int),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_120_Pls__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/sandbox/benchmark/theBenchmark.p',fact_67_plus__numeral__code_I9_J) ).

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_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/sandbox/benchmark/theBenchmark.p',fact_94_zadd__assoc) ).

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

fof(fact_96_zadd__commute,axiom,
    ! [X15,X11] : plus_plus(int,X15,X11) = plus_plus(int,X11,X15),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_96_zadd__commute) ).

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

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_15,plain,
    ! [X438] : bit0(X438) = plus_plus(int,X438,X438),
    inference(variable_rename,[status(thm)],[fact_130_Bit0__def]) ).

fof(c_0_16,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_17,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]) ).

cnf(c_0_18,plain,
    plus_plus(nat,one_one(nat),one_one(nat)) = number_number_of(nat,bit0(bit1(pls))),
    inference(split_conjunct,[status(thm)],[fact_61_nat__1__add__1]) ).

cnf(c_0_19,plain,
    bit0(X1) = plus_plus(int,X1,X1),
    inference(split_conjunct,[status(thm)],[c_0_15]) ).

cnf(c_0_20,plain,
    bit1(X1) = plus_plus(int,plus_plus(int,one_one(int),X1),X1),
    inference(split_conjunct,[status(thm)],[c_0_16]) ).

fof(c_0_21,plain,
    ! [X434] : plus_plus(int,X434,pls) = ti(int,X434),
    inference(variable_rename,[status(thm)],[fact_127_add__Pls__right]) ).

fof(c_0_22,plain,
    ! [X231] : number_number_of(int,X231) = ti(int,X231),
    inference(variable_rename,[status(thm)],[fact_22_number__of__is__id]) ).

fof(c_0_23,hypothesis,
    ! [X163] : ti(int,bit0(X163)) = bit0(X163),
    inference(variable_rename,[status(thm)],[tsy_c_Int_OBit0_res]) ).

fof(c_0_24,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_17]) ).

cnf(c_0_25,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_18,c_0_19]),c_0_20]),c_0_20]) ).

cnf(c_0_26,plain,
    pls = zero_zero(int),
    inference(split_conjunct,[status(thm)],[fact_120_Pls__def]) ).

cnf(c_0_27,plain,
    plus_plus(int,X1,pls) = ti(int,X1),
    inference(split_conjunct,[status(thm)],[c_0_21]) ).

cnf(c_0_28,plain,
    number_number_of(int,X1) = ti(int,X1),
    inference(split_conjunct,[status(thm)],[c_0_22]) ).

cnf(c_0_29,hypothesis,
    ti(int,bit0(X1)) = bit0(X1),
    inference(split_conjunct,[status(thm)],[c_0_23]) ).

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_24]) ).

cnf(c_0_31,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_25,c_0_26]),c_0_26]),c_0_26]),c_0_26]) ).

cnf(c_0_32,plain,
    plus_plus(int,X1,zero_zero(int)) = number_number_of(int,X1),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_27,c_0_26]),c_0_28]) ).

fof(c_0_33,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]) ).

cnf(c_0_34,hypothesis,
    ti(int,plus_plus(int,X1,X1)) = plus_plus(int,X1,X1),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_29,c_0_19]),c_0_19]) ).

cnf(c_0_35,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_19]),c_0_20]),c_0_20]) ).

cnf(c_0_36,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_37,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_38,plain,
    ! [X232,X233] : times_times(int,X232,X233) = times_times(int,X233,X232),
    inference(variable_rename,[status(thm)],[fact_23_zmult__commute]) ).

fof(c_0_39,plain,
    ! [X380,X381] : plus_plus(int,X380,X381) = plus_plus(int,X381,X380),
    inference(variable_rename,[status(thm)],[fact_96_zadd__commute]) ).

cnf(c_0_40,plain,
    number_number_of(nat,plus_plus(int,number_number_of(int,number_number_of(int,one_one(int))),number_number_of(int,number_number_of(int,one_one(int))))) = 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_31,c_0_32]),c_0_32]),c_0_32]),c_0_32]) ).

cnf(c_0_41,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_33]) ).

cnf(c_0_42,hypothesis,
    number_number_of(int,plus_plus(int,X1,X1)) = plus_plus(int,X1,X1),
    inference(rw,[status(thm)],[c_0_34,c_0_28]) ).

fof(c_0_43,plain,
    ! [X311] : times_times(int,pls,X311) = pls,
    inference(variable_rename,[status(thm)],[fact_62_mult__Pls]) ).

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_35,c_0_26]),c_0_26]),c_0_26]),c_0_26]) ).

cnf(c_0_45,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_46,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_36,c_0_19]),c_0_19]),c_0_19]),c_0_20]),c_0_20]),c_0_20]),c_0_20]),c_0_20]),c_0_20]) ).

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_37]) ).

cnf(c_0_48,plain,
    times_times(int,X1,X2) = times_times(int,X2,X1),
    inference(split_conjunct,[status(thm)],[c_0_38]) ).

cnf(c_0_49,plain,
    plus_plus(int,X1,X2) = plus_plus(int,X2,X1),
    inference(split_conjunct,[status(thm)],[c_0_39]) ).

cnf(c_0_50,plain,
    number_number_of(nat,plus_plus(int,one_one(int),one_one(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_40,c_0_41]),c_0_41]),c_0_42]),c_0_42]) ).

cnf(c_0_51,plain,
    times_times(int,pls,X1) = pls,
    inference(split_conjunct,[status(thm)],[c_0_43]) ).

cnf(c_0_52,negated_conjecture,
    ~ ord_less(int,plus_plus(int,power_power(int,s,plus_plus(nat,one_one(nat),one_one(nat))),one_one(int)),zero_zero(int)),
    inference(rw,[status(thm)],[c_0_44,c_0_31]) ).

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_45,c_0_19]),c_0_19]),c_0_19]),c_0_19]),c_0_20]),c_0_20]),c_0_20]),c_0_20]),c_0_20]),c_0_20]),c_0_20]),c_0_20]) ).

cnf(c_0_54,plain,
    times_times(int,t,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),one_one(int)))))))) = plus_plus(int,one_one(int),power_power(int,s,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)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[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_46,c_0_26]),c_0_32]),c_0_26]),c_0_32]),c_0_26]),c_0_32]),c_0_26]),c_0_32]),c_0_41]),c_0_41]),c_0_42]),c_0_42]),c_0_26]),c_0_32]),c_0_26]),c_0_32]),c_0_26]),c_0_32]),c_0_26]),c_0_32]),c_0_41]),c_0_41]),c_0_42]),c_0_42]),c_0_47]),c_0_48]),c_0_49]),c_0_48]),c_0_26]),c_0_32]),c_0_26]),c_0_32]),c_0_26]),c_0_32]),c_0_26]),c_0_32]),c_0_41]),c_0_41]),c_0_42]),c_0_42]),c_0_50]),c_0_49]) ).

cnf(c_0_55,plain,
    times_times(int,zero_zero(int),X1) = zero_zero(int),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_51,c_0_26]),c_0_26]) ).

cnf(c_0_56,negated_conjecture,
    ~ ord_less(int,plus_plus(int,one_one(int),power_power(int,s,plus_plus(nat,one_one(nat),one_one(nat)))),zero_zero(int)),
    inference(rw,[status(thm)],[c_0_52,c_0_49]) ).

cnf(c_0_57,plain,
    $false,
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[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_26]),c_0_32]),c_0_26]),c_0_32]),c_0_26]),c_0_32]),c_0_26]),c_0_32]),c_0_41]),c_0_41]),c_0_42]),c_0_42]),c_0_26]),c_0_32]),c_0_26]),c_0_32]),c_0_26]),c_0_32]),c_0_26]),c_0_32]),c_0_41]),c_0_41]),c_0_42]),c_0_42]),c_0_47]),c_0_48]),c_0_49]),c_0_48]),c_0_54]),c_0_26]),c_0_32]),c_0_26]),c_0_32]),c_0_26]),c_0_32]),c_0_26]),c_0_32]),c_0_41]),c_0_41]),c_0_42]),c_0_42]),c_0_26]),c_0_32]),c_0_26]),c_0_32]),c_0_26]),c_0_32]),c_0_26]),c_0_32]),c_0_41]),c_0_41]),c_0_42]),c_0_42]),c_0_47]),c_0_48]),c_0_49]),c_0_48]),c_0_55]),c_0_56]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12  % Problem  : NUM924+6 : TPTP v8.1.0. Released v5.3.0.
% 0.10/0.13  % Command  : etableau --auto --tsmdo --quicksat=10000 --tableau=1 --tableau-saturation=1 -s -p --tableau-cores=8 --cpu-limit=%d %s
% 0.13/0.34  % Computer : n008.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 : Tue Jul  5 21:32:08 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.21/0.49  # No SInE strategy applied
% 0.21/0.49  # Auto-Mode selected heuristic C07_19_nc_SAT001_MinMin_rr
% 0.21/0.49  # and selection function SelectMaxLComplexAvoidPosPred.
% 0.21/0.49  #
% 0.21/0.49  # Presaturation interreduction done
% 0.21/0.49  
% 0.21/0.49  # Proof found!
% 0.21/0.49  # SZS status Theorem
% 0.21/0.49  # SZS output start CNFRefutation
% See solution above
% 0.21/0.49  # Training examples: 0 positive, 0 negative
%------------------------------------------------------------------------------