TSTP Solution File: NUN059+1 by ET---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : ET---2.0
% Problem  : NUN059+1 : TPTP v8.1.0. Bugfixed v7.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_ET %s %d

% Computer : n024.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 16:26:01 EDT 2022

% Result   : Theorem 0.23s 2.42s
% Output   : CNFRefutation 0.23s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   13
%            Number of leaves      :   13
% Syntax   : Number of formulae    :   87 (  25 unt;   0 def)
%            Number of atoms       :  278 (   0 equ)
%            Maximal formula atoms :   20 (   3 avg)
%            Number of connectives :  342 ( 151   ~; 143   |;  48   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   15 (   4 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    6 (   5 usr;   1 prp; 0-3 aty)
%            Number of functors    :   10 (  10 usr;   1 con; 0-1 aty)
%            Number of variables   :  207 (  23 sgn  65   !;  24   ?)

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

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

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

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

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

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

fof(axiom_11,axiom,
    ! [X32,X33,X34,X35,X36,X37] :
      ( ~ id(X32,X35)
      | ~ id(X33,X36)
      | ~ id(X34,X37)
      | ( ~ r4(X32,X33,X34)
        & ~ r4(X35,X36,X37) )
      | ( r4(X32,X33,X34)
        & r4(X35,X36,X37) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM009+0.ax',axiom_11) ).

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

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

fof(axiom_10,axiom,
    ! [X26,X27,X28,X29,X30,X31] :
      ( ~ id(X26,X29)
      | ~ id(X27,X30)
      | ~ id(X28,X31)
      | ( ~ r3(X26,X27,X28)
        & ~ r3(X29,X30,X31) )
      | ( r3(X26,X27,X28)
        & r3(X29,X30,X31) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM009+0.ax',axiom_10) ).

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

fof(axiom_6a,axiom,
    ! [X61] :
      ( ? [X62] :
          ( id(X61,X62)
          & r1(X62) )
      | ? [X63,X64] :
          ( id(X61,X64)
          & r2(X63,X64) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM009+0.ax',axiom_6a) ).

fof(fermattothepoweroftwoid,conjecture,
    ? [X63,X47,X46,X40] :
      ( ? [X41] :
          ( id(X40,X41)
          & r4(X46,X46,X41) )
      & ? [X49] :
          ( r4(X47,X47,X49)
          & ? [X43] :
              ( r4(X63,X63,X43)
              & r3(X43,X49,X40) ) ) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',fermattothepoweroftwoid) ).

fof(c_0_13,plain,
    ! [X17,X18] :
      ( ~ id(X17,X18)
      | id(X18,X17) ),
    inference(variable_rename,[status(thm)],[inference(fof_simplification,[status(thm)],[axiom_6])]) ).

fof(c_0_14,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_15,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_16,plain,
    ( id(X1,X2)
    | ~ id(X2,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_13]) ).

cnf(c_0_17,plain,
    id(esk15_1(X1),esk17_1(X1)),
    inference(split_conjunct,[status(thm)],[c_0_14]) ).

fof(c_0_18,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])])]) ).

fof(c_0_19,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_20,plain,
    ( id(X3,X2)
    | ~ id(X1,X2)
    | ~ id(X3,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_15]) ).

cnf(c_0_21,plain,
    id(esk17_1(X1),esk15_1(X1)),
    inference(spm,[status(thm)],[c_0_16,c_0_17]) ).

fof(c_0_22,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])])])]) ).

cnf(c_0_23,plain,
    ( r1(X1)
    | ~ id(X1,X2)
    | ~ r1(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_18]) ).

cnf(c_0_24,plain,
    r1(esk17_1(X1)),
    inference(split_conjunct,[status(thm)],[c_0_14]) ).

fof(c_0_25,plain,
    ! [X38,X39,X40,X41,X42,X43] :
      ( ( r4(X38,X39,X40)
        | ~ r4(X38,X39,X40)
        | ~ id(X38,X41)
        | ~ id(X39,X42)
        | ~ id(X40,X43) )
      & ( r4(X41,X42,X43)
        | ~ r4(X38,X39,X40)
        | ~ id(X38,X41)
        | ~ id(X39,X42)
        | ~ id(X40,X43) )
      & ( r4(X38,X39,X40)
        | ~ r4(X41,X42,X43)
        | ~ id(X38,X41)
        | ~ id(X39,X42)
        | ~ id(X40,X43) )
      & ( r4(X41,X42,X43)
        | ~ r4(X41,X42,X43)
        | ~ id(X38,X41)
        | ~ id(X39,X42)
        | ~ id(X40,X43) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_simplification,[status(thm)],[axiom_11])])]) ).

cnf(c_0_26,plain,
    id(esk13_1(X1),X1),
    inference(split_conjunct,[status(thm)],[c_0_19]) ).

cnf(c_0_27,plain,
    ( id(esk17_1(X1),X2)
    | ~ id(esk15_1(X1),X2) ),
    inference(spm,[status(thm)],[c_0_20,c_0_21]) ).

cnf(c_0_28,plain,
    ( id(X1,esk1_0)
    | ~ r1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_22]) ).

cnf(c_0_29,plain,
    r1(esk15_1(X1)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_17]),c_0_24])]) ).

fof(c_0_30,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])])])])]) ).

fof(c_0_31,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])])])]) ).

cnf(c_0_32,plain,
    ( r4(X6,X4,X2)
    | ~ id(X1,X2)
    | ~ id(X3,X4)
    | ~ id(X5,X6)
    | ~ r4(X5,X3,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_25]) ).

cnf(c_0_33,plain,
    r4(X1,esk16_1(X1),esk15_1(X1)),
    inference(split_conjunct,[status(thm)],[c_0_14]) ).

cnf(c_0_34,plain,
    ( id(esk13_1(X1),X2)
    | ~ id(X1,X2) ),
    inference(spm,[status(thm)],[c_0_20,c_0_26]) ).

fof(c_0_35,plain,
    ! [X32,X33,X34,X35,X36,X37] :
      ( ( r3(X32,X33,X34)
        | ~ r3(X32,X33,X34)
        | ~ id(X32,X35)
        | ~ id(X33,X36)
        | ~ id(X34,X37) )
      & ( r3(X35,X36,X37)
        | ~ r3(X32,X33,X34)
        | ~ id(X32,X35)
        | ~ id(X33,X36)
        | ~ id(X34,X37) )
      & ( r3(X32,X33,X34)
        | ~ r3(X35,X36,X37)
        | ~ id(X32,X35)
        | ~ id(X33,X36)
        | ~ id(X34,X37) )
      & ( r3(X35,X36,X37)
        | ~ r3(X35,X36,X37)
        | ~ id(X32,X35)
        | ~ id(X33,X36)
        | ~ id(X34,X37) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_simplification,[status(thm)],[axiom_10])])]) ).

cnf(c_0_36,plain,
    id(esk17_1(X1),esk1_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_28]),c_0_29])]) ).

cnf(c_0_37,plain,
    ( ~ r2(X1,X2)
    | ~ r1(X3)
    | ~ id(X3,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_30]) ).

cnf(c_0_38,plain,
    ( r2(X1,X2)
    | ~ id(X2,esk2_1(X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_31]) ).

fof(c_0_39,plain,
    ! [X15] : id(X15,X15),
    inference(variable_rename,[status(thm)],[axiom_5]) ).

cnf(c_0_40,plain,
    ( r4(X1,X2,X3)
    | ~ id(esk16_1(X4),X2)
    | ~ id(esk15_1(X4),X3)
    | ~ id(X4,X1) ),
    inference(spm,[status(thm)],[c_0_32,c_0_33]) ).

cnf(c_0_41,plain,
    r1(esk16_1(X1)),
    inference(split_conjunct,[status(thm)],[c_0_14]) ).

cnf(c_0_42,plain,
    ( id(X1,esk13_1(X2))
    | ~ id(X2,X1) ),
    inference(spm,[status(thm)],[c_0_16,c_0_34]) ).

cnf(c_0_43,plain,
    ( r3(X6,X4,X2)
    | ~ id(X1,X2)
    | ~ id(X3,X4)
    | ~ id(X5,X6)
    | ~ r3(X5,X3,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_35]) ).

cnf(c_0_44,plain,
    r3(X1,esk14_1(X1),esk13_1(X1)),
    inference(split_conjunct,[status(thm)],[c_0_19]) ).

cnf(c_0_45,plain,
    ( id(esk17_1(X1),X2)
    | ~ id(esk1_0,X2) ),
    inference(spm,[status(thm)],[c_0_20,c_0_36]) ).

fof(c_0_46,plain,
    ! [X65] :
      ( ( id(X65,esk20_1(X65))
        | id(X65,esk18_1(X65)) )
      & ( r2(esk19_1(X65),esk20_1(X65))
        | id(X65,esk18_1(X65)) )
      & ( id(X65,esk20_1(X65))
        | r1(esk18_1(X65)) )
      & ( r2(esk19_1(X65),esk20_1(X65))
        | r1(esk18_1(X65)) ) ),
    inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[axiom_6a])])])])]) ).

cnf(c_0_47,plain,
    ( ~ r1(X1)
    | ~ id(X2,esk2_1(X3))
    | ~ id(X1,X2) ),
    inference(spm,[status(thm)],[c_0_37,c_0_38]) ).

cnf(c_0_48,plain,
    id(X1,X1),
    inference(split_conjunct,[status(thm)],[c_0_39]) ).

cnf(c_0_49,plain,
    id(esk1_0,esk17_1(X1)),
    inference(spm,[status(thm)],[c_0_16,c_0_36]) ).

fof(c_0_50,negated_conjecture,
    ~ ? [X63,X47,X46,X40] :
        ( ? [X41] :
            ( id(X40,X41)
            & r4(X46,X46,X41) )
        & ? [X49] :
            ( r4(X47,X47,X49)
            & ? [X43] :
                ( r4(X63,X63,X43)
                & r3(X43,X49,X40) ) ) ),
    inference(assume_negation,[status(cth)],[fermattothepoweroftwoid]) ).

cnf(c_0_51,plain,
    ( r4(X1,esk1_0,X2)
    | ~ id(esk15_1(X3),X2)
    | ~ id(X3,X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_28]),c_0_41])]) ).

cnf(c_0_52,plain,
    id(X1,esk13_1(esk13_1(X1))),
    inference(spm,[status(thm)],[c_0_42,c_0_26]) ).

cnf(c_0_53,plain,
    ( r3(X1,X2,X3)
    | ~ id(esk14_1(X4),X2)
    | ~ id(esk13_1(X4),X3)
    | ~ id(X4,X1) ),
    inference(spm,[status(thm)],[c_0_43,c_0_44]) ).

cnf(c_0_54,plain,
    r1(esk14_1(X1)),
    inference(split_conjunct,[status(thm)],[c_0_19]) ).

cnf(c_0_55,plain,
    ( id(esk17_1(X1),X2)
    | ~ id(esk1_0,X3)
    | ~ id(X3,X2) ),
    inference(spm,[status(thm)],[c_0_20,c_0_45]) ).

cnf(c_0_56,plain,
    ( id(X1,esk18_1(X1))
    | id(X1,esk20_1(X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_46]) ).

cnf(c_0_57,plain,
    ( id(X1,esk2_1(X2))
    | ~ r2(X2,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_31]) ).

cnf(c_0_58,plain,
    ( id(X1,esk18_1(X1))
    | r2(esk19_1(X1),esk20_1(X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_46]) ).

cnf(c_0_59,plain,
    ( ~ r1(X1)
    | ~ id(X1,esk2_1(X2)) ),
    inference(spm,[status(thm)],[c_0_47,c_0_48]) ).

cnf(c_0_60,plain,
    ( id(esk15_1(X1),X2)
    | ~ id(esk17_1(X1),X2) ),
    inference(spm,[status(thm)],[c_0_20,c_0_17]) ).

cnf(c_0_61,plain,
    ( id(esk1_0,X1)
    | ~ id(esk17_1(X2),X1) ),
    inference(spm,[status(thm)],[c_0_20,c_0_49]) ).

fof(c_0_62,negated_conjecture,
    ! [X64,X65,X66,X67,X68,X69,X70] :
      ( ~ id(X67,X68)
      | ~ r4(X66,X66,X68)
      | ~ r4(X65,X65,X69)
      | ~ r4(X64,X64,X70)
      | ~ r3(X70,X69,X67) ),
    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_50])])])])]) ).

cnf(c_0_63,plain,
    ( r4(X1,esk1_0,esk1_0)
    | ~ id(X2,X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_28]),c_0_29])]) ).

cnf(c_0_64,plain,
    id(esk13_1(esk13_1(X1)),X1),
    inference(spm,[status(thm)],[c_0_16,c_0_52]) ).

cnf(c_0_65,plain,
    ( r3(X1,esk1_0,X2)
    | ~ id(esk13_1(X3),X2)
    | ~ id(X3,X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_28]),c_0_54])]) ).

cnf(c_0_66,plain,
    ( id(esk1_0,esk18_1(esk1_0))
    | id(esk17_1(X1),X2)
    | ~ id(esk20_1(esk1_0),X2) ),
    inference(spm,[status(thm)],[c_0_55,c_0_56]) ).

cnf(c_0_67,plain,
    ( id(esk20_1(X1),esk2_1(esk19_1(X1)))
    | id(X1,esk18_1(X1)) ),
    inference(spm,[status(thm)],[c_0_57,c_0_58]) ).

cnf(c_0_68,plain,
    ~ id(esk17_1(X1),esk2_1(X2)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_60]),c_0_29])]) ).

cnf(c_0_69,plain,
    id(esk1_0,esk15_1(X1)),
    inference(spm,[status(thm)],[c_0_61,c_0_21]) ).

cnf(c_0_70,negated_conjecture,
    ( ~ r3(X1,X2,X3)
    | ~ r4(X4,X4,X1)
    | ~ r4(X5,X5,X2)
    | ~ r4(X6,X6,X7)
    | ~ id(X3,X7) ),
    inference(split_conjunct,[status(thm)],[c_0_62]) ).

cnf(c_0_71,plain,
    r4(X1,esk1_0,esk1_0),
    inference(spm,[status(thm)],[c_0_63,c_0_64]) ).

cnf(c_0_72,plain,
    ( r3(X1,esk1_0,X2)
    | ~ id(X3,X1)
    | ~ id(X3,X2) ),
    inference(spm,[status(thm)],[c_0_65,c_0_34]) ).

cnf(c_0_73,plain,
    ( id(X1,X2)
    | ~ r1(X1)
    | ~ id(esk1_0,X2) ),
    inference(spm,[status(thm)],[c_0_20,c_0_28]) ).

cnf(c_0_74,plain,
    id(esk1_0,esk18_1(esk1_0)),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_67]),c_0_68]) ).

cnf(c_0_75,plain,
    id(esk15_1(X1),esk1_0),
    inference(spm,[status(thm)],[c_0_16,c_0_69]) ).

cnf(c_0_76,negated_conjecture,
    ( ~ r4(X1,X1,X2)
    | ~ r4(X3,X3,X4)
    | ~ r3(X4,X2,X5)
    | ~ id(X5,esk1_0) ),
    inference(spm,[status(thm)],[c_0_70,c_0_71]) ).

cnf(c_0_77,plain,
    ( r3(esk1_0,esk1_0,X1)
    | ~ id(esk17_1(X2),X1) ),
    inference(spm,[status(thm)],[c_0_72,c_0_36]) ).

cnf(c_0_78,plain,
    ( id(X1,esk18_1(esk1_0))
    | ~ r1(X1) ),
    inference(spm,[status(thm)],[c_0_73,c_0_74]) ).

cnf(c_0_79,plain,
    ( id(esk15_1(X1),X2)
    | ~ id(esk1_0,X2) ),
    inference(spm,[status(thm)],[c_0_20,c_0_75]) ).

cnf(c_0_80,negated_conjecture,
    ( ~ r4(X1,X1,X2)
    | ~ r3(X2,esk1_0,X3)
    | ~ id(X3,esk1_0) ),
    inference(spm,[status(thm)],[c_0_76,c_0_71]) ).

cnf(c_0_81,plain,
    r3(esk1_0,esk1_0,esk18_1(esk1_0)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_77,c_0_78]),c_0_24])]) ).

cnf(c_0_82,plain,
    id(esk18_1(esk1_0),esk1_0),
    inference(spm,[status(thm)],[c_0_16,c_0_74]) ).

cnf(c_0_83,plain,
    ( r4(X1,esk1_0,X2)
    | ~ id(esk1_0,X2)
    | ~ id(X3,X1) ),
    inference(spm,[status(thm)],[c_0_51,c_0_79]) ).

cnf(c_0_84,negated_conjecture,
    ~ r4(X1,X1,esk1_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_80,c_0_81]),c_0_82])]) ).

cnf(c_0_85,plain,
    ( r4(X1,esk1_0,X2)
    | ~ id(esk1_0,X2) ),
    inference(spm,[status(thm)],[c_0_83,c_0_64]) ).

cnf(c_0_86,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_84,c_0_85]),c_0_48])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : NUN059+1 : TPTP v8.1.0. Bugfixed v7.4.0.
% 0.11/0.13  % Command  : run_ET %s %d
% 0.12/0.33  % Computer : n024.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 600
% 0.12/0.34  % DateTime : Thu Jun  2 07:45:36 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.23/2.42  # Running protocol protocol_eprover_29fa5c60d0ee03ec4f64b055553dc135fbe4ee3a for 23 seconds:
% 0.23/2.42  # Preprocessing time       : 0.016 s
% 0.23/2.42  
% 0.23/2.42  # Proof found!
% 0.23/2.42  # SZS status Theorem
% 0.23/2.42  # SZS output start CNFRefutation
% See solution above
% 0.23/2.42  # Proof object total steps             : 87
% 0.23/2.42  # Proof object clause steps            : 60
% 0.23/2.42  # Proof object formula steps           : 27
% 0.23/2.42  # Proof object conjectures             : 8
% 0.23/2.42  # Proof object clause conjectures      : 5
% 0.23/2.42  # Proof object formula conjectures     : 3
% 0.23/2.42  # Proof object initial clauses used    : 20
% 0.23/2.42  # Proof object initial formulas used   : 13
% 0.23/2.42  # Proof object generating inferences   : 40
% 0.23/2.42  # Proof object simplifying inferences  : 19
% 0.23/2.42  # Training examples: 0 positive, 0 negative
% 0.23/2.42  # Parsed axioms                        : 19
% 0.23/2.42  # Removed by relevancy pruning/SinE    : 0
% 0.23/2.42  # Initial clauses                      : 59
% 0.23/2.42  # Removed in clause preprocessing      : 16
% 0.23/2.42  # Initial clauses in saturation        : 43
% 0.23/2.42  # Processed clauses                    : 6040
% 0.23/2.42  # ...of these trivial                  : 806
% 0.23/2.42  # ...subsumed                          : 2988
% 0.23/2.42  # ...remaining for further processing  : 2246
% 0.23/2.42  # Other redundant clauses eliminated   : 0
% 0.23/2.42  # Clauses deleted for lack of memory   : 0
% 0.23/2.42  # Backward-subsumed                    : 47
% 0.23/2.42  # Backward-rewritten                   : 25
% 0.23/2.42  # Generated clauses                    : 190480
% 0.23/2.42  # ...of the previous two non-trivial   : 174490
% 0.23/2.42  # Contextual simplify-reflections      : 55
% 0.23/2.42  # Paramodulations                      : 190451
% 0.23/2.42  # Factorizations                       : 0
% 0.23/2.42  # Equation resolutions                 : 0
% 0.23/2.42  # Current number of processed clauses  : 2157
% 0.23/2.42  #    Positive orientable unit clauses  : 536
% 0.23/2.42  #    Positive unorientable unit clauses: 0
% 0.23/2.42  #    Negative unit clauses             : 135
% 0.23/2.42  #    Non-unit-clauses                  : 1486
% 0.23/2.42  # Current number of unprocessed clauses: 161432
% 0.23/2.42  # ...number of literals in the above   : 452064
% 0.23/2.42  # Current number of archived formulas  : 0
% 0.23/2.42  # Current number of archived clauses   : 72
% 0.23/2.42  # Clause-clause subsumption calls (NU) : 438806
% 0.23/2.42  # Rec. Clause-clause subsumption calls : 203987
% 0.23/2.42  # Non-unit clause-clause subsumptions  : 1318
% 0.23/2.42  # Unit Clause-clause subsumption calls : 33140
% 0.23/2.42  # Rewrite failures with RHS unbound    : 0
% 0.23/2.42  # BW rewrite match attempts            : 2282
% 0.23/2.42  # BW rewrite match successes           : 27
% 0.23/2.42  # Condensation attempts                : 0
% 0.23/2.42  # Condensation successes               : 0
% 0.23/2.42  # Termbank termtop insertions          : 2654944
% 0.23/2.42  
% 0.23/2.42  # -------------------------------------------------
% 0.23/2.42  # User time                : 1.324 s
% 0.23/2.42  # System time              : 0.064 s
% 0.23/2.42  # Total time               : 1.388 s
% 0.23/2.42  # Maximum resident set size: 110436 pages
% 0.23/23.41  eprover: CPU time limit exceeded, terminating
% 0.23/23.42  eprover: CPU time limit exceeded, terminating
% 0.23/23.43  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.23/23.43  eprover: No such file or directory
% 0.23/23.44  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.23/23.44  eprover: No such file or directory
% 0.23/23.44  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.23/23.44  eprover: No such file or directory
% 0.23/23.44  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.23/23.44  eprover: No such file or directory
% 0.23/23.44  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.23/23.44  eprover: No such file or directory
% 0.23/23.45  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.23/23.45  eprover: No such file or directory
% 0.23/23.45  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.23/23.45  eprover: No such file or directory
% 0.23/23.45  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.23/23.45  eprover: No such file or directory
% 0.23/23.45  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.23/23.45  eprover: No such file or directory
% 0.23/23.46  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.23/23.46  eprover: No such file or directory
% 0.23/23.46  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.23/23.46  eprover: No such file or directory
% 0.23/23.46  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.23/23.46  eprover: No such file or directory
% 0.23/23.47  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.23/23.47  eprover: No such file or directory
% 0.23/23.47  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.23/23.47  eprover: No such file or directory
% 0.23/23.47  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.23/23.47  eprover: No such file or directory
% 0.23/23.47  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.23/23.47  eprover: No such file or directory
% 0.23/23.47  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.23/23.47  eprover: No such file or directory
% 0.23/23.48  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.23/23.48  eprover: No such file or directory
% 0.23/23.48  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.23/23.48  eprover: No such file or directory
% 0.23/23.48  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.23/23.48  eprover: No such file or directory
% 0.23/23.49  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.23/23.49  eprover: No such file or directory
% 0.23/23.49  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.23/23.49  eprover: No such file or directory
%------------------------------------------------------------------------------