TSTP Solution File: NUN066+1 by ET---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : ET---2.0
% Problem  : NUN066+1 : TPTP v8.1.0. Released v7.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_ET %s %d

% Computer : n023.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 16:26:02 EDT 2022

% Result   : Theorem 0.40s 25.57s
% Output   : CNFRefutation 0.40s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   14
%            Number of leaves      :   12
% Syntax   : Number of formulae    :   88 (  15 unt;   0 def)
%            Number of atoms       :  274 (   0 equ)
%            Maximal formula atoms :   16 (   3 avg)
%            Number of connectives :  307 ( 121   ~; 147   |;  39   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   12 (   4 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    6 (   5 usr;   1 prp; 0-3 aty)
%            Number of functors    :   11 (  11 usr;   1 con; 0-1 aty)
%            Number of variables   :  165 (  10 sgn  57   !;   9   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(axiom_2,axiom,
    ! [X3] :
    ? [X4] :
    ! [X5] :
      ( ( id(X5,X4)
        & r2(X3,X5) )
      | ( ~ r2(X3,X5)
        & ~ id(X5,X4) ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/NUM009+0.ax',axiom_2) ).

fof(axiom_5,axiom,
    ! [X14] : id(X14,X14),
    file('/export/starexec/sandbox2/benchmark/Axioms/NUM009+0.ax',axiom_5) ).

fof(nonzerononetwoexistid,conjecture,
    ? [X63] :
      ( ! [X46] :
          ( ! [X47] :
              ( ! [X40] :
                  ( ~ r1(X40)
                  | ~ r2(X40,X47) )
              | ~ r2(X47,X46) )
          | ~ id(X63,X46) )
      & ! [X41] :
          ( ~ id(X63,X41)
          | ~ r1(X41) ) ),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',nonzerononetwoexistid) ).

fof(axiom_7a,axiom,
    ! [X65,X66] :
      ( ! [X67] :
          ( ~ id(X67,X66)
          | ~ r1(X67) )
      | ~ r2(X65,X66) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/NUM009+0.ax',axiom_7a) ).

fof(axiom_3a,axiom,
    ! [X50,X51] :
      ( ! [X52] :
          ( ! [X53] :
              ( ~ id(X53,X52)
              | ~ r2(X50,X53) )
          | ~ r2(X51,X52) )
      | id(X50,X51) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/NUM009+0.ax',axiom_3a) ).

fof(axiom_6,axiom,
    ! [X15,X16] :
      ( ~ id(X15,X16)
      | id(X16,X15) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/NUM009+0.ax',axiom_6) ).

fof(axiom_8,axiom,
    ! [X20,X21] :
      ( ~ id(X20,X21)
      | ( ~ r1(X20)
        & ~ r1(X21) )
      | ( r1(X20)
        & r1(X21) ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/NUM009+0.ax',axiom_8) ).

fof(axiom_9,axiom,
    ! [X22,X23,X24,X25] :
      ( ~ id(X22,X24)
      | ~ id(X23,X25)
      | ( ~ r2(X22,X23)
        & ~ r2(X24,X25) )
      | ( r2(X22,X23)
        & r2(X24,X25) ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/NUM009+0.ax',axiom_9) ).

fof(axiom_7,axiom,
    ! [X17,X18,X19] :
      ( ~ id(X17,X18)
      | id(X17,X19)
      | ~ id(X18,X19) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/NUM009+0.ax',axiom_7) ).

fof(axiom_1,axiom,
    ? [X1] :
    ! [X2] :
      ( ( id(X2,X1)
        & r1(X2) )
      | ( ~ r1(X2)
        & ~ id(X2,X1) ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/NUM009+0.ax',axiom_1) ).

fof(axiom_5a,axiom,
    ! [X57] :
    ? [X58] :
      ( ? [X59] :
          ( r1(X59)
          & r4(X57,X59,X58) )
      & ? [X60] :
          ( id(X58,X60)
          & r1(X60) ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/NUM009+0.ax',axiom_5a) ).

fof(axiom_4a,axiom,
    ! [X54] :
    ? [X55] :
      ( id(X55,X54)
      & ? [X56] :
          ( r1(X56)
          & r3(X54,X56,X55) ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/NUM009+0.ax',axiom_4a) ).

fof(c_0_12,plain,
    ! [X6,X8] :
      ( ( ~ r2(X6,X8)
        | id(X8,esk2_1(X6)) )
      & ( ~ id(X8,esk2_1(X6))
        | id(X8,esk2_1(X6)) )
      & ( ~ r2(X6,X8)
        | r2(X6,X8) )
      & ( ~ id(X8,esk2_1(X6))
        | r2(X6,X8) ) ),
    inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_simplification,[status(thm)],[axiom_2])])])]) ).

fof(c_0_13,plain,
    ! [X15] : id(X15,X15),
    inference(variable_rename,[status(thm)],[axiom_5]) ).

fof(c_0_14,negated_conjecture,
    ~ ? [X63] :
        ( ! [X46] :
            ( ! [X47] :
                ( ! [X40] :
                    ( ~ r1(X40)
                    | ~ r2(X40,X47) )
                | ~ r2(X47,X46) )
            | ~ id(X63,X46) )
        & ! [X41] :
            ( ~ id(X63,X41)
            | ~ r1(X41) ) ),
    inference(assume_negation,[status(cth)],[nonzerononetwoexistid]) ).

fof(c_0_15,plain,
    ! [X68,X69,X70] :
      ( ~ id(X70,X69)
      | ~ r1(X70)
      | ~ r2(X68,X69) ),
    inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_simplification,[status(thm)],[axiom_7a])])])])]) ).

cnf(c_0_16,plain,
    ( r2(X1,X2)
    | ~ id(X2,esk2_1(X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_12]) ).

cnf(c_0_17,plain,
    id(X1,X1),
    inference(split_conjunct,[status(thm)],[c_0_13]) ).

fof(c_0_18,plain,
    ! [X54,X55,X56,X57] :
      ( ~ id(X57,X56)
      | ~ r2(X54,X57)
      | ~ r2(X55,X56)
      | id(X54,X55) ),
    inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_simplification,[status(thm)],[axiom_3a])])])])]) ).

fof(c_0_19,negated_conjecture,
    ! [X64] :
      ( ( id(X64,esk24_1(X64))
        | r1(esk23_1(X64)) )
      & ( r1(esk24_1(X64))
        | r1(esk23_1(X64)) )
      & ( id(X64,esk24_1(X64))
        | r2(esk23_1(X64),esk22_1(X64)) )
      & ( r1(esk24_1(X64))
        | r2(esk23_1(X64),esk22_1(X64)) )
      & ( id(X64,esk24_1(X64))
        | r2(esk22_1(X64),esk21_1(X64)) )
      & ( r1(esk24_1(X64))
        | r2(esk22_1(X64),esk21_1(X64)) )
      & ( id(X64,esk24_1(X64))
        | id(X64,esk21_1(X64)) )
      & ( r1(esk24_1(X64))
        | id(X64,esk21_1(X64)) ) ),
    inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[c_0_14])])])])])])]) ).

fof(c_0_20,plain,
    ! [X17,X18] :
      ( ~ id(X17,X18)
      | id(X18,X17) ),
    inference(variable_rename,[status(thm)],[inference(fof_simplification,[status(thm)],[axiom_6])]) ).

cnf(c_0_21,plain,
    ( ~ r2(X1,X2)
    | ~ r1(X3)
    | ~ id(X3,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_15]) ).

cnf(c_0_22,plain,
    r2(X1,esk2_1(X1)),
    inference(spm,[status(thm)],[c_0_16,c_0_17]) ).

cnf(c_0_23,plain,
    ( id(X1,X2)
    | ~ r2(X2,X3)
    | ~ r2(X1,X4)
    | ~ id(X4,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_18]) ).

cnf(c_0_24,negated_conjecture,
    ( r2(esk23_1(X1),esk22_1(X1))
    | r1(esk24_1(X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_19]) ).

cnf(c_0_25,plain,
    ( id(X1,X2)
    | ~ id(X2,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_20]) ).

cnf(c_0_26,negated_conjecture,
    ( id(X1,esk21_1(X1))
    | id(X1,esk24_1(X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_19]) ).

fof(c_0_27,plain,
    ! [X22,X23] :
      ( ( r1(X22)
        | ~ r1(X22)
        | ~ id(X22,X23) )
      & ( r1(X23)
        | ~ r1(X22)
        | ~ id(X22,X23) )
      & ( r1(X22)
        | ~ r1(X23)
        | ~ id(X22,X23) )
      & ( r1(X23)
        | ~ r1(X23)
        | ~ id(X22,X23) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_simplification,[status(thm)],[axiom_8])])]) ).

cnf(c_0_28,plain,
    ( ~ r1(X1)
    | ~ id(X1,esk2_1(X2)) ),
    inference(spm,[status(thm)],[c_0_21,c_0_22]) ).

cnf(c_0_29,plain,
    ( id(X1,esk2_1(X2))
    | ~ r2(X2,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_12]) ).

fof(c_0_30,plain,
    ! [X26,X27,X28,X29] :
      ( ( r2(X26,X27)
        | ~ r2(X26,X27)
        | ~ id(X26,X28)
        | ~ id(X27,X29) )
      & ( r2(X28,X29)
        | ~ r2(X26,X27)
        | ~ id(X26,X28)
        | ~ id(X27,X29) )
      & ( r2(X26,X27)
        | ~ r2(X28,X29)
        | ~ id(X26,X28)
        | ~ id(X27,X29) )
      & ( r2(X28,X29)
        | ~ r2(X28,X29)
        | ~ id(X26,X28)
        | ~ id(X27,X29) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_simplification,[status(thm)],[axiom_9])])]) ).

cnf(c_0_31,negated_conjecture,
    ( r1(esk24_1(X1))
    | id(X2,esk23_1(X1))
    | ~ r2(X2,X3)
    | ~ id(X3,esk22_1(X1)) ),
    inference(spm,[status(thm)],[c_0_23,c_0_24]) ).

cnf(c_0_32,negated_conjecture,
    ( id(X1,esk24_1(X1))
    | id(esk21_1(X1),X1) ),
    inference(spm,[status(thm)],[c_0_25,c_0_26]) ).

cnf(c_0_33,plain,
    ( r1(X2)
    | ~ id(X1,X2)
    | ~ r1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_27]) ).

cnf(c_0_34,plain,
    ( ~ r2(X1,X2)
    | ~ r1(X2) ),
    inference(spm,[status(thm)],[c_0_28,c_0_29]) ).

cnf(c_0_35,negated_conjecture,
    ( r2(esk22_1(X1),esk21_1(X1))
    | id(X1,esk24_1(X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_19]) ).

cnf(c_0_36,plain,
    ( r2(X4,X2)
    | ~ id(X1,X2)
    | ~ id(X3,X4)
    | ~ r2(X3,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_30]) ).

cnf(c_0_37,negated_conjecture,
    ( r1(esk24_1(X1))
    | id(esk22_1(X1),esk24_1(esk22_1(X1)))
    | id(X2,esk23_1(X1))
    | ~ r2(X2,esk21_1(esk22_1(X1))) ),
    inference(spm,[status(thm)],[c_0_31,c_0_32]) ).

cnf(c_0_38,negated_conjecture,
    ( r2(esk22_1(X1),esk21_1(X1))
    | r1(esk24_1(X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_19]) ).

cnf(c_0_39,negated_conjecture,
    ( r1(esk21_1(X1))
    | id(X1,esk24_1(X1))
    | ~ r1(X1) ),
    inference(spm,[status(thm)],[c_0_33,c_0_26]) ).

cnf(c_0_40,negated_conjecture,
    ( r1(esk23_1(X1))
    | id(X1,esk24_1(X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_19]) ).

cnf(c_0_41,negated_conjecture,
    ( id(X1,esk24_1(X1))
    | ~ r1(esk21_1(X1)) ),
    inference(spm,[status(thm)],[c_0_34,c_0_35]) ).

cnf(c_0_42,plain,
    ( r2(X1,X2)
    | ~ r2(X1,X3)
    | ~ id(X3,X2) ),
    inference(spm,[status(thm)],[c_0_36,c_0_17]) ).

cnf(c_0_43,negated_conjecture,
    ( r2(esk23_1(X1),esk22_1(X1))
    | id(X1,esk24_1(X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_19]) ).

cnf(c_0_44,negated_conjecture,
    ( r1(esk24_1(X1))
    | id(esk22_1(esk22_1(X1)),esk23_1(X1))
    | id(esk22_1(X1),esk24_1(esk22_1(X1))) ),
    inference(spm,[status(thm)],[c_0_37,c_0_35]) ).

cnf(c_0_45,negated_conjecture,
    ( r1(esk24_1(X1))
    | id(X2,esk22_1(X1))
    | ~ r2(X2,X3)
    | ~ id(X3,esk21_1(X1)) ),
    inference(spm,[status(thm)],[c_0_23,c_0_38]) ).

cnf(c_0_46,negated_conjecture,
    ( id(X1,esk21_1(X1))
    | r1(esk24_1(X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_19]) ).

fof(c_0_47,plain,
    ! [X20,X21,X22] :
      ( ~ id(X20,X21)
      | id(X20,X22)
      | ~ id(X21,X22) ),
    inference(variable_rename,[status(thm)],[inference(fof_simplification,[status(thm)],[axiom_7])]) ).

cnf(c_0_48,negated_conjecture,
    ( id(esk23_1(X1),esk24_1(esk23_1(X1)))
    | id(X1,esk24_1(X1)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_40]),c_0_41]) ).

cnf(c_0_49,negated_conjecture,
    ( id(X1,esk24_1(X1))
    | id(X2,esk22_1(X1))
    | ~ r2(X2,X3)
    | ~ id(X3,esk21_1(X1)) ),
    inference(spm,[status(thm)],[c_0_23,c_0_35]) ).

cnf(c_0_50,negated_conjecture,
    ( r2(X1,esk21_1(X2))
    | id(X2,esk24_1(X2))
    | ~ r2(X1,X2) ),
    inference(spm,[status(thm)],[c_0_42,c_0_26]) ).

cnf(c_0_51,negated_conjecture,
    ( id(X1,esk24_1(X1))
    | ~ r1(X2)
    | ~ id(X2,esk22_1(X1)) ),
    inference(spm,[status(thm)],[c_0_21,c_0_43]) ).

cnf(c_0_52,negated_conjecture,
    ( r1(esk24_1(X1))
    | id(esk22_1(X1),esk24_1(esk22_1(X1)))
    | id(esk23_1(X1),esk22_1(esk22_1(X1))) ),
    inference(spm,[status(thm)],[c_0_25,c_0_44]) ).

cnf(c_0_53,negated_conjecture,
    ( r1(esk23_1(X1))
    | r1(esk24_1(X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_19]) ).

cnf(c_0_54,negated_conjecture,
    ( r1(esk24_1(X1))
    | ~ r1(X2)
    | ~ id(X2,esk22_1(X1)) ),
    inference(spm,[status(thm)],[c_0_21,c_0_24]) ).

cnf(c_0_55,negated_conjecture,
    ( r1(esk24_1(X1))
    | id(X2,esk22_1(X1))
    | ~ r2(X2,X1) ),
    inference(spm,[status(thm)],[c_0_45,c_0_46]) ).

cnf(c_0_56,plain,
    ( id(X3,X2)
    | ~ id(X1,X2)
    | ~ id(X3,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_47]) ).

cnf(c_0_57,negated_conjecture,
    ( id(esk24_1(esk23_1(X1)),esk23_1(X1))
    | id(X1,esk24_1(X1)) ),
    inference(spm,[status(thm)],[c_0_25,c_0_48]) ).

cnf(c_0_58,negated_conjecture,
    ( id(X1,esk22_1(X2))
    | id(X2,esk24_1(X2))
    | ~ r2(X1,esk21_1(X2)) ),
    inference(spm,[status(thm)],[c_0_49,c_0_17]) ).

cnf(c_0_59,negated_conjecture,
    ( r2(esk23_1(X1),esk21_1(esk22_1(X1)))
    | id(esk22_1(X1),esk24_1(esk22_1(X1)))
    | id(X1,esk24_1(X1)) ),
    inference(spm,[status(thm)],[c_0_50,c_0_43]) ).

cnf(c_0_60,negated_conjecture,
    ( r1(esk24_1(X1))
    | id(esk22_1(X1),esk24_1(esk22_1(X1))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_52]),c_0_53]) ).

cnf(c_0_61,negated_conjecture,
    ( r1(esk24_1(X1))
    | ~ r2(X2,X1)
    | ~ r1(X2) ),
    inference(spm,[status(thm)],[c_0_54,c_0_55]) ).

cnf(c_0_62,negated_conjecture,
    ( id(esk24_1(esk23_1(X1)),X2)
    | id(X1,esk24_1(X1))
    | ~ id(esk23_1(X1),X2) ),
    inference(spm,[status(thm)],[c_0_56,c_0_57]) ).

cnf(c_0_63,negated_conjecture,
    ( id(esk22_1(X1),esk24_1(esk22_1(X1)))
    | id(esk23_1(X1),esk22_1(esk22_1(X1)))
    | id(X1,esk24_1(X1)) ),
    inference(spm,[status(thm)],[c_0_58,c_0_59]) ).

cnf(c_0_64,negated_conjecture,
    ( r1(esk24_1(X1))
    | id(esk24_1(esk22_1(X1)),esk22_1(X1)) ),
    inference(spm,[status(thm)],[c_0_25,c_0_60]) ).

cnf(c_0_65,negated_conjecture,
    ( r1(esk24_1(esk22_1(X1)))
    | r1(esk24_1(X1)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_24]),c_0_53]) ).

fof(c_0_66,plain,
    ! [X4] :
      ( ( ~ r1(X4)
        | id(X4,esk1_0) )
      & ( ~ id(X4,esk1_0)
        | id(X4,esk1_0) )
      & ( ~ r1(X4)
        | r1(X4) )
      & ( ~ id(X4,esk1_0)
        | r1(X4) ) ),
    inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_simplification,[status(thm)],[axiom_1])])])]) ).

fof(c_0_67,plain,
    ! [X61] :
      ( r1(esk16_1(X61))
      & r4(X61,esk16_1(X61),esk15_1(X61))
      & id(esk15_1(X61),esk17_1(X61))
      & r1(esk17_1(X61)) ),
    inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[axiom_5a])])])]) ).

fof(c_0_68,plain,
    ! [X57] :
      ( id(esk13_1(X57),X57)
      & r1(esk14_1(X57))
      & r3(X57,esk14_1(X57),esk13_1(X57)) ),
    inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[axiom_4a])])])]) ).

cnf(c_0_69,negated_conjecture,
    ( id(esk24_1(esk23_1(X1)),esk22_1(esk22_1(X1)))
    | id(esk22_1(X1),esk24_1(esk22_1(X1)))
    | id(X1,esk24_1(X1)) ),
    inference(spm,[status(thm)],[c_0_62,c_0_63]) ).

cnf(c_0_70,negated_conjecture,
    r1(esk24_1(X1)),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_64]),c_0_65]) ).

cnf(c_0_71,plain,
    ~ r1(esk2_1(X1)),
    inference(spm,[status(thm)],[c_0_28,c_0_17]) ).

cnf(c_0_72,plain,
    ( r1(X1)
    | ~ id(X1,esk1_0) ),
    inference(split_conjunct,[status(thm)],[c_0_66]) ).

cnf(c_0_73,plain,
    id(esk15_1(X1),esk17_1(X1)),
    inference(split_conjunct,[status(thm)],[c_0_67]) ).

cnf(c_0_74,plain,
    id(esk13_1(X1),X1),
    inference(split_conjunct,[status(thm)],[c_0_68]) ).

cnf(c_0_75,negated_conjecture,
    ( id(esk22_1(X1),esk24_1(esk22_1(X1)))
    | id(X1,esk24_1(X1)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_69]),c_0_70])]) ).

cnf(c_0_76,plain,
    ( id(X1,esk1_0)
    | ~ r1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_66]) ).

cnf(c_0_77,plain,
    ~ id(esk2_1(X1),esk1_0),
    inference(spm,[status(thm)],[c_0_71,c_0_72]) ).

cnf(c_0_78,plain,
    ( id(esk2_1(X1),X2)
    | ~ r2(X1,X2) ),
    inference(spm,[status(thm)],[c_0_25,c_0_29]) ).

cnf(c_0_79,plain,
    ( r2(esk17_1(X1),X2)
    | ~ r2(esk15_1(X1),X3)
    | ~ id(X3,X2) ),
    inference(spm,[status(thm)],[c_0_36,c_0_73]) ).

cnf(c_0_80,plain,
    r2(X1,esk13_1(esk2_1(X1))),
    inference(spm,[status(thm)],[c_0_16,c_0_74]) ).

cnf(c_0_81,negated_conjecture,
    ( id(esk24_1(esk22_1(X1)),esk22_1(X1))
    | id(X1,esk24_1(X1)) ),
    inference(spm,[status(thm)],[c_0_25,c_0_75]) ).

cnf(c_0_82,negated_conjecture,
    id(esk24_1(X1),esk1_0),
    inference(spm,[status(thm)],[c_0_76,c_0_70]) ).

cnf(c_0_83,plain,
    ~ r2(X1,esk1_0),
    inference(spm,[status(thm)],[c_0_77,c_0_78]) ).

cnf(c_0_84,plain,
    ( r2(esk17_1(X1),X2)
    | ~ id(esk13_1(esk2_1(esk15_1(X1))),X2) ),
    inference(spm,[status(thm)],[c_0_79,c_0_80]) ).

cnf(c_0_85,negated_conjecture,
    id(X1,esk24_1(X1)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_81]),c_0_70])]) ).

cnf(c_0_86,negated_conjecture,
    ~ r2(X1,esk24_1(X2)),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_82]),c_0_83]) ).

cnf(c_0_87,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_84,c_0_85]),c_0_86]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : NUN066+1 : TPTP v8.1.0. Released v7.3.0.
% 0.14/0.13  % Command  : run_ET %s %d
% 0.14/0.34  % Computer : n023.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit : 300
% 0.14/0.34  % WCLimit  : 600
% 0.14/0.34  % DateTime : Thu Jun  2 07:23:11 EDT 2022
% 0.21/0.34  % CPUTime  : 
% 0.39/23.41  eprover: CPU time limit exceeded, terminating
% 0.39/23.41  eprover: CPU time limit exceeded, terminating
% 0.39/23.42  eprover: CPU time limit exceeded, terminating
% 0.39/23.50  eprover: CPU time limit exceeded, terminating
% 0.40/25.57  # Running protocol protocol_eprover_4a02c828a8cc55752123edbcc1ad40e453c11447 for 23 seconds:
% 0.40/25.57  
% 0.40/25.57  # Failure: Resource limit exceeded (time)
% 0.40/25.57  # OLD status Res
% 0.40/25.57  # SinE strategy is GSinE(CountFormulas,hypos,1.4,,04,100,1.0)
% 0.40/25.57  # Preprocessing time       : 0.017 s
% 0.40/25.57  # Running protocol protocol_eprover_f171197f65f27d1ba69648a20c844832c84a5dd7 for 23 seconds:
% 0.40/25.57  # Preprocessing time       : 0.010 s
% 0.40/25.57  
% 0.40/25.57  # Proof found!
% 0.40/25.57  # SZS status Theorem
% 0.40/25.57  # SZS output start CNFRefutation
% See solution above
% 0.40/25.57  # Proof object total steps             : 88
% 0.40/25.57  # Proof object clause steps            : 63
% 0.40/25.57  # Proof object formula steps           : 25
% 0.40/25.57  # Proof object conjectures             : 42
% 0.40/25.57  # Proof object clause conjectures      : 39
% 0.40/25.57  # Proof object formula conjectures     : 3
% 0.40/25.57  # Proof object initial clauses used    : 21
% 0.40/25.57  # Proof object initial formulas used   : 12
% 0.40/25.57  # Proof object generating inferences   : 42
% 0.40/25.57  # Proof object simplifying inferences  : 10
% 0.40/25.57  # Training examples: 0 positive, 0 negative
% 0.40/25.57  # Parsed axioms                        : 19
% 0.40/25.57  # Removed by relevancy pruning/SinE    : 0
% 0.40/25.57  # Initial clauses                      : 66
% 0.40/25.57  # Removed in clause preprocessing      : 16
% 0.40/25.57  # Initial clauses in saturation        : 50
% 0.40/25.57  # Processed clauses                    : 12707
% 0.40/25.57  # ...of these trivial                  : 1082
% 0.40/25.57  # ...subsumed                          : 5322
% 0.40/25.57  # ...remaining for further processing  : 6303
% 0.40/25.57  # Other redundant clauses eliminated   : 0
% 0.40/25.57  # Clauses deleted for lack of memory   : 0
% 0.40/25.57  # Backward-subsumed                    : 292
% 0.40/25.57  # Backward-rewritten                   : 2445
% 0.40/25.57  # Generated clauses                    : 155175
% 0.40/25.57  # ...of the previous two non-trivial   : 121536
% 0.40/25.57  # Contextual simplify-reflections      : 980
% 0.40/25.57  # Paramodulations                      : 155174
% 0.40/25.57  # Factorizations                       : 0
% 0.40/25.57  # Equation resolutions                 : 0
% 0.40/25.57  # Current number of processed clauses  : 3565
% 0.40/25.57  #    Positive orientable unit clauses  : 2568
% 0.40/25.57  #    Positive unorientable unit clauses: 0
% 0.40/25.57  #    Negative unit clauses             : 219
% 0.40/25.57  #    Non-unit-clauses                  : 778
% 0.40/25.57  # Current number of unprocessed clauses: 52481
% 0.40/25.57  # ...number of literals in the above   : 125415
% 0.40/25.57  # Current number of archived formulas  : 0
% 0.40/25.57  # Current number of archived clauses   : 2738
% 0.40/25.57  # Clause-clause subsumption calls (NU) : 202396
% 0.40/25.57  # Rec. Clause-clause subsumption calls : 143151
% 0.40/25.57  # Non-unit clause-clause subsumptions  : 3055
% 0.40/25.57  # Unit Clause-clause subsumption calls : 76130
% 0.40/25.57  # Rewrite failures with RHS unbound    : 0
% 0.40/25.57  # BW rewrite match attempts            : 475649
% 0.40/25.57  # BW rewrite match successes           : 2116
% 0.40/25.57  # Condensation attempts                : 0
% 0.40/25.57  # Condensation successes               : 0
% 0.40/25.57  # Termbank termtop insertions          : 2621849
% 0.40/25.57  
% 0.40/25.57  # -------------------------------------------------
% 0.40/25.57  # User time                : 1.511 s
% 0.40/25.57  # System time              : 0.021 s
% 0.40/25.57  # Total time               : 1.532 s
% 0.40/25.57  # Maximum resident set size: 65572 pages
%------------------------------------------------------------------------------