TSTP Solution File: NUN072+2 by ET---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : ET---2.0
% Problem  : NUN072+2 : TPTP v8.1.0. Released v7.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_ET %s %d

% Computer : n021.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 16:26:04 EDT 2022

% Result   : Theorem 0.25s 1.43s
% Output   : CNFRefutation 0.25s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   15
%            Number of leaves      :   11
% Syntax   : Number of formulae    :   84 (  44 unt;   0 def)
%            Number of atoms       :  251 (  71 equ)
%            Maximal formula atoms :   10 (   2 avg)
%            Number of connectives :  290 ( 123   ~; 101   |;  64   &)
%                                         (   2 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   20 (   4 avg)
%            Maximal term depth    :    5 (   1 avg)
%            Number of predicates  :    8 (   6 usr;   3 prp; 0-3 aty)
%            Number of functors    :   17 (  17 usr;   1 con; 0-2 aty)
%            Number of variables   :  218 (  13 sgn  42   !;  35   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(onetimestwoeqtwo,conjecture,
    ? [X39] :
      ( ? [X22] :
          ( ? [X16] :
              ( r2(X16,X22)
              & ? [X19] :
                  ( r1(X19)
                  & r2(X19,X16) ) )
          & ? [X17] :
              ( r4(X17,X22,X39)
              & ? [X34] :
                  ( r1(X34)
                  & r2(X34,X17) ) ) )
      & ? [X23] :
          ( X39 = X23
          & ? [X25] :
              ( r2(X25,X23)
              & ? [X31] :
                  ( r1(X31)
                  & r2(X31,X25) ) ) ) ),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',onetimestwoeqtwo) ).

fof(axiom_4,axiom,
    ! [X10,X11] :
    ? [X12] :
    ! [X13] :
      ( ( ~ r4(X10,X11,X13)
        & X13 != X12 )
      | ( r4(X10,X11,X13)
        & X13 = X12 ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/NUM008+0.ax',axiom_4) ).

fof(axiom_2a,axiom,
    ! [X20,X21] :
    ? [X22] :
      ( ? [X23] :
          ( ? [X24] :
              ( r2(X21,X24)
              & r4(X20,X24,X23) )
          & X23 = X22 )
      & ? [X25] :
          ( r3(X25,X20,X22)
          & r4(X20,X21,X25) ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/NUM008+0.ax',axiom_2a) ).

fof(axiom_2,axiom,
    ! [X3] :
    ? [X4] :
    ! [X5] :
      ( ( ~ r2(X3,X5)
        & X5 != X4 )
      | ( r2(X3,X5)
        & X5 = X4 ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/NUM008+0.ax',axiom_2) ).

fof(axiom_1a,axiom,
    ! [X14,X15] :
    ? [X16] :
      ( ? [X17] :
          ( ? [X18] :
              ( r2(X15,X18)
              & r3(X14,X18,X17) )
          & X17 = X16 )
      & ? [X19] :
          ( r2(X19,X16)
          & r3(X14,X15,X19) ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/NUM008+0.ax',axiom_1a) ).

fof(axiom_3,axiom,
    ! [X6,X7] :
    ? [X8] :
    ! [X9] :
      ( ( ~ r3(X6,X7,X9)
        & X9 != X8 )
      | ( r3(X6,X7,X9)
        & X9 = X8 ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/NUM008+0.ax',axiom_3) ).

fof(axiom_5a,axiom,
    ! [X33] :
    ? [X34] :
      ( ? [X35] :
          ( r1(X35)
          & r4(X33,X35,X34) )
      & ? [X36] :
          ( r1(X36)
          & X34 = X36 ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/NUM008+0.ax',axiom_5a) ).

fof(axiom_1,axiom,
    ? [X1] :
    ! [X2] :
      ( ( ~ r1(X2)
        & X2 != X1 )
      | ( r1(X2)
        & X2 = X1 ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/NUM008+0.ax',axiom_1) ).

fof(axiom_4a,axiom,
    ! [X30] :
    ? [X31] :
      ( ? [X32] :
          ( r1(X32)
          & r3(X30,X32,X31) )
      & X31 = X30 ),
    file('/export/starexec/sandbox2/benchmark/Axioms/NUM008+0.ax',axiom_4a) ).

fof(c_0_9,negated_conjecture,
    ~ ? [X39] :
        ( ? [X22] :
            ( ? [X16] :
                ( r2(X16,X22)
                & ? [X19] :
                    ( r1(X19)
                    & r2(X19,X16) ) )
            & ? [X17] :
                ( r4(X17,X22,X39)
                & ? [X34] :
                    ( r1(X34)
                    & r2(X34,X17) ) ) )
        & ? [X23] :
            ( X39 = X23
            & ? [X25] :
                ( r2(X25,X23)
                & ? [X31] :
                    ( r1(X31)
                    & r2(X31,X25) ) ) ) ),
    inference(assume_negation,[status(cth)],[onetimestwoeqtwo]) ).

fof(c_0_10,negated_conjecture,
    ! [X40,X41,X42,X43,X44,X45,X46,X47,X48] :
      ( ~ r2(X42,X41)
      | ~ r1(X43)
      | ~ r2(X43,X42)
      | ~ r4(X44,X41,X40)
      | ~ r1(X45)
      | ~ r2(X45,X44)
      | X40 != X46
      | ~ r2(X47,X46)
      | ~ r1(X48)
      | ~ r2(X48,X47) ),
    inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_9])])])])]) ).

fof(c_0_11,plain,
    ! [X14,X15,X17] :
      ( ( r4(X14,X15,X17)
        | ~ r4(X14,X15,X17) )
      & ( X17 = esk4_2(X14,X15)
        | ~ r4(X14,X15,X17) )
      & ( r4(X14,X15,X17)
        | X17 != esk4_2(X14,X15) )
      & ( X17 = esk4_2(X14,X15)
        | X17 != esk4_2(X14,X15) ) ),
    inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_simplification,[status(thm)],[axiom_4])])])]) ).

fof(c_0_12,plain,
    ! [X26,X27] :
      ( r2(X27,esk11_2(X26,X27))
      & r4(X26,esk11_2(X26,X27),esk10_2(X26,X27))
      & esk10_2(X26,X27) = esk9_2(X26,X27)
      & r3(esk12_2(X26,X27),X26,esk9_2(X26,X27))
      & r4(X26,X27,esk12_2(X26,X27)) ),
    inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[axiom_2a])])])]) ).

fof(c_0_13,plain,
    ! [X6,X8] :
      ( ( r2(X6,X8)
        | ~ r2(X6,X8) )
      & ( X8 = esk2_1(X6)
        | ~ r2(X6,X8) )
      & ( r2(X6,X8)
        | X8 != esk2_1(X6) )
      & ( X8 = esk2_1(X6)
        | X8 != esk2_1(X6) ) ),
    inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_simplification,[status(thm)],[axiom_2])])])]) ).

cnf(c_0_14,negated_conjecture,
    ( ~ r2(X1,X2)
    | ~ r1(X1)
    | ~ r2(X2,X3)
    | X4 != X3
    | ~ r2(X5,X6)
    | ~ r1(X5)
    | ~ r4(X6,X7,X4)
    | ~ r2(X8,X9)
    | ~ r1(X8)
    | ~ r2(X9,X7) ),
    inference(split_conjunct,[status(thm)],[c_0_10]) ).

cnf(c_0_15,plain,
    ( X3 = esk4_2(X1,X2)
    | ~ r4(X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_11]) ).

cnf(c_0_16,plain,
    r4(X1,X2,esk12_2(X1,X2)),
    inference(split_conjunct,[status(thm)],[c_0_12]) ).

cnf(c_0_17,plain,
    r4(X1,esk11_2(X1,X2),esk10_2(X1,X2)),
    inference(split_conjunct,[status(thm)],[c_0_12]) ).

cnf(c_0_18,plain,
    esk10_2(X1,X2) = esk9_2(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_12]) ).

cnf(c_0_19,plain,
    ( X2 = esk2_1(X1)
    | ~ r2(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_13]) ).

cnf(c_0_20,plain,
    r2(X1,esk11_2(X2,X1)),
    inference(split_conjunct,[status(thm)],[c_0_12]) ).

cnf(c_0_21,negated_conjecture,
    ( ~ r4(X1,X2,X3)
    | ~ r2(X4,X2)
    | ~ r2(X5,X4)
    | ~ r2(X6,X1)
    | ~ r2(X7,X3)
    | ~ r2(X8,X7)
    | ~ r1(X5)
    | ~ r1(X6)
    | ~ r1(X8) ),
    inference(er,[status(thm)],[c_0_14]) ).

fof(c_0_22,plain,
    ! [X20,X21] :
      ( r2(X21,esk7_2(X20,X21))
      & r3(X20,esk7_2(X20,X21),esk6_2(X20,X21))
      & esk6_2(X20,X21) = esk5_2(X20,X21)
      & r2(esk8_2(X20,X21),esk5_2(X20,X21))
      & r3(X20,X21,esk8_2(X20,X21)) ),
    inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[axiom_1a])])])]) ).

fof(c_0_23,plain,
    ! [X10,X11,X13] :
      ( ( r3(X10,X11,X13)
        | ~ r3(X10,X11,X13) )
      & ( X13 = esk3_2(X10,X11)
        | ~ r3(X10,X11,X13) )
      & ( r3(X10,X11,X13)
        | X13 != esk3_2(X10,X11) )
      & ( X13 = esk3_2(X10,X11)
        | X13 != esk3_2(X10,X11) ) ),
    inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_simplification,[status(thm)],[axiom_3])])])]) ).

cnf(c_0_24,plain,
    esk4_2(X1,X2) = esk12_2(X1,X2),
    inference(spm,[status(thm)],[c_0_15,c_0_16]) ).

cnf(c_0_25,plain,
    r4(X1,esk11_2(X1,X2),esk9_2(X1,X2)),
    inference(rw,[status(thm)],[c_0_17,c_0_18]) ).

cnf(c_0_26,plain,
    esk11_2(X1,X2) = esk2_1(X2),
    inference(spm,[status(thm)],[c_0_19,c_0_20]) ).

fof(c_0_27,plain,
    ! [X37] :
      ( r1(esk16_1(X37))
      & r4(X37,esk16_1(X37),esk15_1(X37))
      & r1(esk17_1(X37))
      & esk15_1(X37) = esk17_1(X37) ),
    inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[axiom_5a])])])]) ).

cnf(c_0_28,negated_conjecture,
    ( ~ r2(X1,esk12_2(X2,X3))
    | ~ r2(X4,X3)
    | ~ r2(X5,X4)
    | ~ r2(X6,X2)
    | ~ r2(X7,X1)
    | ~ r1(X5)
    | ~ r1(X6)
    | ~ r1(X7) ),
    inference(spm,[status(thm)],[c_0_21,c_0_16]) ).

cnf(c_0_29,plain,
    ( r2(X2,X1)
    | X1 != esk2_1(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_13]) ).

cnf(c_0_30,plain,
    r2(X1,esk7_2(X2,X1)),
    inference(split_conjunct,[status(thm)],[c_0_22]) ).

cnf(c_0_31,plain,
    ( X3 = esk3_2(X1,X2)
    | ~ r3(X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_23]) ).

cnf(c_0_32,plain,
    r3(X1,X2,esk8_2(X1,X2)),
    inference(split_conjunct,[status(thm)],[c_0_22]) ).

cnf(c_0_33,plain,
    ( X1 = esk12_2(X2,X3)
    | ~ r4(X2,X3,X1) ),
    inference(rw,[status(thm)],[c_0_15,c_0_24]) ).

cnf(c_0_34,plain,
    r4(X1,esk2_1(X2),esk9_2(X1,X2)),
    inference(rw,[status(thm)],[c_0_25,c_0_26]) ).

fof(c_0_35,plain,
    ! [X4] :
      ( ( r1(X4)
        | ~ r1(X4) )
      & ( X4 = esk1_0
        | ~ r1(X4) )
      & ( r1(X4)
        | X4 != esk1_0 )
      & ( X4 = esk1_0
        | X4 != esk1_0 ) ),
    inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_simplification,[status(thm)],[axiom_1])])])]) ).

cnf(c_0_36,plain,
    r1(esk17_1(X1)),
    inference(split_conjunct,[status(thm)],[c_0_27]) ).

cnf(c_0_37,plain,
    esk15_1(X1) = esk17_1(X1),
    inference(split_conjunct,[status(thm)],[c_0_27]) ).

cnf(c_0_38,negated_conjecture,
    ( esk12_2(X1,X2) != esk2_1(X3)
    | ~ r2(X4,X2)
    | ~ r2(X5,X4)
    | ~ r2(X6,X1)
    | ~ r2(X7,X3)
    | ~ r1(X5)
    | ~ r1(X6)
    | ~ r1(X7) ),
    inference(spm,[status(thm)],[c_0_28,c_0_29]) ).

cnf(c_0_39,plain,
    esk7_2(X1,X2) = esk2_1(X2),
    inference(spm,[status(thm)],[c_0_19,c_0_30]) ).

cnf(c_0_40,plain,
    esk3_2(X1,X2) = esk8_2(X1,X2),
    inference(spm,[status(thm)],[c_0_31,c_0_32]) ).

cnf(c_0_41,plain,
    r3(esk12_2(X1,X2),X1,esk9_2(X1,X2)),
    inference(split_conjunct,[status(thm)],[c_0_12]) ).

cnf(c_0_42,plain,
    esk9_2(X1,X2) = esk12_2(X1,esk2_1(X2)),
    inference(spm,[status(thm)],[c_0_33,c_0_34]) ).

cnf(c_0_43,plain,
    ( X1 = esk1_0
    | ~ r1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_35]) ).

cnf(c_0_44,plain,
    r1(esk15_1(X1)),
    inference(rw,[status(thm)],[c_0_36,c_0_37]) ).

cnf(c_0_45,plain,
    r1(esk16_1(X1)),
    inference(split_conjunct,[status(thm)],[c_0_27]) ).

cnf(c_0_46,negated_conjecture,
    ( esk12_2(X1,X2) != esk2_1(X3)
    | X2 != esk2_1(X4)
    | ~ r2(X5,X4)
    | ~ r2(X6,X1)
    | ~ r2(X7,X3)
    | ~ r1(X5)
    | ~ r1(X6)
    | ~ r1(X7) ),
    inference(spm,[status(thm)],[c_0_38,c_0_29]) ).

cnf(c_0_47,plain,
    r2(X1,esk2_1(X1)),
    inference(rw,[status(thm)],[c_0_30,c_0_39]) ).

cnf(c_0_48,plain,
    ( X1 = esk8_2(X2,X3)
    | ~ r3(X2,X3,X1) ),
    inference(rw,[status(thm)],[c_0_31,c_0_40]) ).

cnf(c_0_49,plain,
    r3(esk12_2(X1,X2),X1,esk12_2(X1,esk2_1(X2))),
    inference(rw,[status(thm)],[c_0_41,c_0_42]) ).

cnf(c_0_50,plain,
    r4(X1,esk16_1(X1),esk15_1(X1)),
    inference(split_conjunct,[status(thm)],[c_0_27]) ).

cnf(c_0_51,plain,
    esk15_1(X1) = esk1_0,
    inference(spm,[status(thm)],[c_0_43,c_0_44]) ).

cnf(c_0_52,plain,
    esk16_1(X1) = esk1_0,
    inference(spm,[status(thm)],[c_0_43,c_0_45]) ).

cnf(c_0_53,plain,
    r3(X1,esk7_2(X1,X2),esk6_2(X1,X2)),
    inference(split_conjunct,[status(thm)],[c_0_22]) ).

cnf(c_0_54,plain,
    esk6_2(X1,X2) = esk5_2(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_22]) ).

cnf(c_0_55,plain,
    r2(esk8_2(X1,X2),esk5_2(X1,X2)),
    inference(split_conjunct,[status(thm)],[c_0_22]) ).

fof(c_0_56,plain,
    ! [X33] :
      ( r1(esk14_1(X33))
      & r3(X33,esk14_1(X33),esk13_1(X33))
      & esk13_1(X33) = X33 ),
    inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[axiom_4a])])])]) ).

cnf(c_0_57,negated_conjecture,
    ( esk12_2(X1,X2) != esk2_1(X3)
    | X2 != esk2_1(esk2_1(X4))
    | ~ r2(X5,X1)
    | ~ r2(X6,X3)
    | ~ r1(X4)
    | ~ r1(X5)
    | ~ r1(X6) ),
    inference(spm,[status(thm)],[c_0_46,c_0_47]) ).

cnf(c_0_58,plain,
    esk12_2(X1,esk2_1(X2)) = esk8_2(esk12_2(X1,X2),X1),
    inference(spm,[status(thm)],[c_0_48,c_0_49]) ).

cnf(c_0_59,plain,
    r4(X1,esk1_0,esk1_0),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_50,c_0_51]),c_0_52]) ).

cnf(c_0_60,plain,
    r3(X1,esk7_2(X1,X2),esk5_2(X1,X2)),
    inference(rw,[status(thm)],[c_0_53,c_0_54]) ).

cnf(c_0_61,plain,
    esk5_2(X1,X2) = esk2_1(esk8_2(X1,X2)),
    inference(spm,[status(thm)],[c_0_19,c_0_55]) ).

cnf(c_0_62,plain,
    r3(X1,esk14_1(X1),esk13_1(X1)),
    inference(split_conjunct,[status(thm)],[c_0_56]) ).

cnf(c_0_63,plain,
    esk13_1(X1) = X1,
    inference(split_conjunct,[status(thm)],[c_0_56]) ).

cnf(c_0_64,plain,
    r1(esk14_1(X1)),
    inference(split_conjunct,[status(thm)],[c_0_56]) ).

cnf(c_0_65,negated_conjecture,
    ( esk8_2(esk8_2(esk12_2(X1,X2),X1),X1) != esk2_1(X3)
    | ~ r2(X4,X1)
    | ~ r2(X5,X3)
    | ~ r1(X2)
    | ~ r1(X4)
    | ~ r1(X5) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(er,[status(thm)],[c_0_57]),c_0_58]),c_0_58]) ).

cnf(c_0_66,plain,
    esk12_2(X1,esk1_0) = esk1_0,
    inference(spm,[status(thm)],[c_0_33,c_0_59]) ).

cnf(c_0_67,plain,
    r1(esk1_0),
    inference(rw,[status(thm)],[c_0_44,c_0_51]) ).

cnf(c_0_68,plain,
    r3(X1,esk2_1(X2),esk2_1(esk8_2(X1,X2))),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_60,c_0_39]),c_0_61]) ).

cnf(c_0_69,plain,
    r3(X1,esk14_1(X1),X1),
    inference(rw,[status(thm)],[c_0_62,c_0_63]) ).

cnf(c_0_70,plain,
    esk14_1(X1) = esk1_0,
    inference(spm,[status(thm)],[c_0_43,c_0_64]) ).

fof(c_0_71,plain,
    ( ~ epred4_0
  <=> ! [X3] :
        ( ~ r1(X3)
        | ~ r2(X3,esk2_1(esk1_0)) ) ),
    introduced(definition) ).

cnf(c_0_72,negated_conjecture,
    ( esk8_2(esk8_2(esk1_0,X1),X1) != esk2_1(X2)
    | ~ r2(X3,X1)
    | ~ r2(X4,X2)
    | ~ r1(X3)
    | ~ r1(X4) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_66]),c_0_67])]) ).

cnf(c_0_73,plain,
    esk8_2(X1,esk2_1(X2)) = esk2_1(esk8_2(X1,X2)),
    inference(spm,[status(thm)],[c_0_48,c_0_68]) ).

cnf(c_0_74,plain,
    r3(X1,esk1_0,X1),
    inference(rw,[status(thm)],[c_0_69,c_0_70]) ).

cnf(c_0_75,negated_conjecture,
    ( epred4_0
    | ~ r2(X1,esk2_1(esk1_0))
    | ~ r1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_71]) ).

fof(c_0_76,plain,
    ( ~ epred5_0
  <=> ! [X3,X1] :
        ( ~ r1(X3)
        | ~ r2(X3,X1)
        | esk2_1(esk2_1(esk1_0)) != esk2_1(X1) ) ),
    introduced(definition) ).

cnf(c_0_77,negated_conjecture,
    ( esk2_1(esk8_2(esk2_1(esk8_2(esk1_0,X1)),X1)) != esk2_1(X2)
    | ~ r2(X3,esk2_1(X1))
    | ~ r2(X4,X2)
    | ~ r1(X3)
    | ~ r1(X4) ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_72,c_0_73]),c_0_73]) ).

cnf(c_0_78,plain,
    esk8_2(X1,esk1_0) = X1,
    inference(spm,[status(thm)],[c_0_48,c_0_74]) ).

cnf(c_0_79,negated_conjecture,
    epred4_0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_75,c_0_47]),c_0_67])]) ).

cnf(c_0_80,negated_conjecture,
    ~ epred5_0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_77,c_0_78]),c_0_78]),c_0_76]),c_0_71]),c_0_79])]) ).

cnf(c_0_81,negated_conjecture,
    ( esk2_1(esk2_1(esk1_0)) != esk2_1(X1)
    | ~ r2(X2,X1)
    | ~ r1(X2) ),
    inference(sr,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_76]),c_0_80]) ).

cnf(c_0_82,negated_conjecture,
    ( esk2_1(esk2_1(esk1_0)) != esk2_1(esk2_1(X1))
    | ~ r1(X1) ),
    inference(spm,[status(thm)],[c_0_81,c_0_47]) ).

cnf(c_0_83,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(er,[status(thm)],[c_0_82]),c_0_67])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13  % Problem  : NUN072+2 : TPTP v8.1.0. Released v7.3.0.
% 0.08/0.13  % Command  : run_ET %s %d
% 0.13/0.35  % Computer : n021.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 600
% 0.13/0.35  % DateTime : Thu Jun  2 09:58:46 EDT 2022
% 0.13/0.35  % CPUTime  : 
% 0.25/1.43  # Running protocol protocol_eprover_29fa5c60d0ee03ec4f64b055553dc135fbe4ee3a for 23 seconds:
% 0.25/1.43  # Preprocessing time       : 0.016 s
% 0.25/1.43  
% 0.25/1.43  # Proof found!
% 0.25/1.43  # SZS status Theorem
% 0.25/1.43  # SZS output start CNFRefutation
% See solution above
% 0.25/1.43  # Proof object total steps             : 84
% 0.25/1.43  # Proof object clause steps            : 63
% 0.25/1.43  # Proof object formula steps           : 21
% 0.25/1.43  # Proof object conjectures             : 18
% 0.25/1.43  # Proof object clause conjectures      : 15
% 0.25/1.43  # Proof object formula conjectures     : 3
% 0.25/1.43  # Proof object initial clauses used    : 24
% 0.25/1.43  # Proof object initial formulas used   : 9
% 0.25/1.43  # Proof object generating inferences   : 24
% 0.25/1.43  # Proof object simplifying inferences  : 31
% 0.25/1.43  # Training examples: 0 positive, 0 negative
% 0.25/1.43  # Parsed axioms                        : 12
% 0.25/1.43  # Removed by relevancy pruning/SinE    : 0
% 0.25/1.43  # Initial clauses                      : 40
% 0.25/1.43  # Removed in clause preprocessing      : 12
% 0.25/1.43  # Initial clauses in saturation        : 28
% 0.25/1.43  # Processed clauses                    : 3765
% 0.25/1.43  # ...of these trivial                  : 0
% 0.25/1.43  # ...subsumed                          : 2636
% 0.25/1.43  # ...remaining for further processing  : 1129
% 0.25/1.43  # Other redundant clauses eliminated   : 431
% 0.25/1.43  # Clauses deleted for lack of memory   : 0
% 0.25/1.43  # Backward-subsumed                    : 26
% 0.25/1.43  # Backward-rewritten                   : 36
% 0.25/1.43  # Generated clauses                    : 62862
% 0.25/1.43  # ...of the previous two non-trivial   : 60891
% 0.25/1.43  # Contextual simplify-reflections      : 1453
% 0.25/1.43  # Paramodulations                      : 62162
% 0.25/1.43  # Factorizations                       : 0
% 0.25/1.43  # Equation resolutions                 : 692
% 0.25/1.43  # Current number of processed clauses  : 1061
% 0.25/1.43  #    Positive orientable unit clauses  : 45
% 0.25/1.43  #    Positive unorientable unit clauses: 0
% 0.25/1.43  #    Negative unit clauses             : 5
% 0.25/1.43  #    Non-unit-clauses                  : 1011
% 0.25/1.43  # Current number of unprocessed clauses: 55264
% 0.25/1.43  # ...number of literals in the above   : 270529
% 0.25/1.43  # Current number of archived formulas  : 0
% 0.25/1.43  # Current number of archived clauses   : 66
% 0.25/1.43  # Clause-clause subsumption calls (NU) : 685069
% 0.25/1.43  # Rec. Clause-clause subsumption calls : 342260
% 0.25/1.43  # Non-unit clause-clause subsumptions  : 4017
% 0.25/1.43  # Unit Clause-clause subsumption calls : 445
% 0.25/1.43  # Rewrite failures with RHS unbound    : 0
% 0.25/1.43  # BW rewrite match attempts            : 61
% 0.25/1.43  # BW rewrite match successes           : 18
% 0.25/1.43  # Condensation attempts                : 0
% 0.25/1.43  # Condensation successes               : 0
% 0.25/1.43  # Termbank termtop insertions          : 1277637
% 0.25/1.43  
% 0.25/1.43  # -------------------------------------------------
% 0.25/1.43  # User time                : 0.831 s
% 0.25/1.43  # System time              : 0.027 s
% 0.25/1.43  # Total time               : 0.858 s
% 0.25/1.43  # Maximum resident set size: 45432 pages
% 0.25/23.42  eprover: CPU time limit exceeded, terminating
% 0.25/23.44  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.25/23.44  eprover: No such file or directory
% 0.25/23.45  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.25/23.45  eprover: No such file or directory
% 0.25/23.45  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.25/23.45  eprover: No such file or directory
% 0.25/23.46  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.25/23.46  eprover: No such file or directory
% 0.25/23.46  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.25/23.46  eprover: No such file or directory
% 0.25/23.47  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.25/23.47  eprover: No such file or directory
% 0.25/23.48  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.25/23.48  eprover: No such file or directory
% 0.25/23.48  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.25/23.48  eprover: No such file or directory
% 0.25/23.49  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.25/23.49  eprover: No such file or directory
% 0.25/23.50  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.25/23.50  eprover: No such file or directory
% 0.25/23.50  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.25/23.50  eprover: No such file or directory
%------------------------------------------------------------------------------