TSTP Solution File: NUN065+1 by SInE---0.4

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%------------------------------------------------------------------------------
% File     : SInE---0.4
% Problem  : NUN065+1 : TPTP v7.3.0. Released v7.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : sine.py -e eprover -t %d %s

% Computer : n191.star.cs.uiowa.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2609 0 2.40GHz
% Memory   : 32218.5MB
% OS       : Linux 3.10.0-862.11.6.el7.x86_64
% CPULimit : 300s
% DateTime : Wed Feb 27 14:27:05 EST 2019

% Result   : Theorem 0.94s
% Output   : CNFRefutation 1.33s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   27
%            Number of leaves      :   10
% Syntax   : Number of formulae    :   96 (   9 unt;   0 def)
%            Number of atoms       :  332 (   0 equ)
%            Maximal formula atoms :   16 (   3 avg)
%            Number of connectives :  415 ( 179   ~; 179   |;  57   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   12 (   5 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   1 con; 0-1 aty)
%            Number of variables   :  206 (   6 sgn  97   !;  15   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(1,axiom,
    ! [X1] :
    ? [X2] :
    ! [X3] :
      ( ( id(X3,X2)
        & r2(X1,X3) )
      | ( ~ r2(X1,X3)
        & ~ id(X3,X2) ) ),
    file('/export/starexec/sandbox2/tmp/tmp2zfKpT/sel_theBenchmark.p_1',axiom_2) ).

fof(2,axiom,
    ! [X4,X5] :
      ( ! [X6] :
          ( ! [X7] :
              ( ~ id(X7,X6)
              | ~ r2(X4,X7) )
          | ~ r2(X5,X6) )
      | id(X4,X5) ),
    file('/export/starexec/sandbox2/tmp/tmp2zfKpT/sel_theBenchmark.p_1',axiom_3a) ).

fof(4,axiom,
    ? [X12] :
    ! [X13] :
      ( ( id(X13,X12)
        & r1(X13) )
      | ( ~ r1(X13)
        & ~ id(X13,X12) ) ),
    file('/export/starexec/sandbox2/tmp/tmp2zfKpT/sel_theBenchmark.p_1',axiom_1) ).

fof(5,axiom,
    ! [X14,X15] :
      ( ~ id(X14,X15)
      | id(X15,X14) ),
    file('/export/starexec/sandbox2/tmp/tmp2zfKpT/sel_theBenchmark.p_1',axiom_6) ).

fof(6,axiom,
    ! [X16,X17,X18] :
      ( ~ id(X16,X17)
      | id(X16,X18)
      | ~ id(X17,X18) ),
    file('/export/starexec/sandbox2/tmp/tmp2zfKpT/sel_theBenchmark.p_1',axiom_7) ).

fof(7,axiom,
    ! [X19] : id(X19,X19),
    file('/export/starexec/sandbox2/tmp/tmp2zfKpT/sel_theBenchmark.p_1',axiom_5) ).

fof(8,axiom,
    ! [X20,X21] :
      ( ~ id(X20,X21)
      | ( ~ r1(X20)
        & ~ r1(X21) )
      | ( r1(X20)
        & r1(X21) ) ),
    file('/export/starexec/sandbox2/tmp/tmp2zfKpT/sel_theBenchmark.p_1',axiom_8) ).

fof(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/tmp/tmp2zfKpT/sel_theBenchmark.p_1',axiom_9) ).

fof(10,axiom,
    ! [X26,X27] :
      ( ! [X28] :
          ( ~ id(X28,X27)
          | ~ r1(X28) )
      | ~ r2(X26,X27) ),
    file('/export/starexec/sandbox2/tmp/tmp2zfKpT/sel_theBenchmark.p_1',axiom_7a) ).

fof(11,conjecture,
    ? [X10] :
      ( ! [X29] :
          ( ! [X30] :
              ( ~ r1(X30)
              | ~ r2(X30,X29) )
          | ~ id(X10,X29) )
      & ! [X31] :
          ( ~ id(X10,X31)
          | ~ r1(X31) ) ),
    file('/export/starexec/sandbox2/tmp/tmp2zfKpT/sel_theBenchmark.p_1',nononesexistid) ).

fof(12,negated_conjecture,
    ~ ? [X10] :
        ( ! [X29] :
            ( ! [X30] :
                ( ~ r1(X30)
                | ~ r2(X30,X29) )
            | ~ id(X10,X29) )
        & ! [X31] :
            ( ~ id(X10,X31)
            | ~ r1(X31) ) ),
    inference(assume_negation,[status(cth)],[11]) ).

fof(13,plain,
    ! [X1] :
    ? [X2] :
    ! [X3] :
      ( ( id(X3,X2)
        & r2(X1,X3) )
      | ( ~ r2(X1,X3)
        & ~ id(X3,X2) ) ),
    inference(fof_simplification,[status(thm)],[1,theory(equality)]) ).

fof(14,plain,
    ! [X4,X5] :
      ( ! [X6] :
          ( ! [X7] :
              ( ~ id(X7,X6)
              | ~ r2(X4,X7) )
          | ~ r2(X5,X6) )
      | id(X4,X5) ),
    inference(fof_simplification,[status(thm)],[2,theory(equality)]) ).

fof(15,plain,
    ? [X12] :
    ! [X13] :
      ( ( id(X13,X12)
        & r1(X13) )
      | ( ~ r1(X13)
        & ~ id(X13,X12) ) ),
    inference(fof_simplification,[status(thm)],[4,theory(equality)]) ).

fof(16,plain,
    ! [X14,X15] :
      ( ~ id(X14,X15)
      | id(X15,X14) ),
    inference(fof_simplification,[status(thm)],[5,theory(equality)]) ).

fof(17,plain,
    ! [X16,X17,X18] :
      ( ~ id(X16,X17)
      | id(X16,X18)
      | ~ id(X17,X18) ),
    inference(fof_simplification,[status(thm)],[6,theory(equality)]) ).

fof(18,plain,
    ! [X20,X21] :
      ( ~ id(X20,X21)
      | ( ~ r1(X20)
        & ~ r1(X21) )
      | ( r1(X20)
        & r1(X21) ) ),
    inference(fof_simplification,[status(thm)],[8,theory(equality)]) ).

fof(19,plain,
    ! [X22,X23,X24,X25] :
      ( ~ id(X22,X24)
      | ~ id(X23,X25)
      | ( ~ r2(X22,X23)
        & ~ r2(X24,X25) )
      | ( r2(X22,X23)
        & r2(X24,X25) ) ),
    inference(fof_simplification,[status(thm)],[9,theory(equality)]) ).

fof(20,plain,
    ! [X26,X27] :
      ( ! [X28] :
          ( ~ id(X28,X27)
          | ~ r1(X28) )
      | ~ r2(X26,X27) ),
    inference(fof_simplification,[status(thm)],[10,theory(equality)]) ).

fof(21,negated_conjecture,
    ~ ? [X10] :
        ( ! [X29] :
            ( ! [X30] :
                ( ~ r1(X30)
                | ~ r2(X30,X29) )
            | ~ id(X10,X29) )
        & ! [X31] :
            ( ~ id(X10,X31)
            | ~ r1(X31) ) ),
    inference(fof_simplification,[status(thm)],[12,theory(equality)]) ).

fof(22,plain,
    ! [X4] :
    ? [X5] :
    ! [X6] :
      ( ( id(X6,X5)
        & r2(X4,X6) )
      | ( ~ r2(X4,X6)
        & ~ id(X6,X5) ) ),
    inference(variable_rename,[status(thm)],[13]) ).

fof(23,plain,
    ! [X4,X6] :
      ( ( id(X6,esk1_1(X4))
        & r2(X4,X6) )
      | ( ~ r2(X4,X6)
        & ~ id(X6,esk1_1(X4)) ) ),
    inference(skolemize,[status(esa)],[22]) ).

fof(24,plain,
    ! [X4,X6] :
      ( ( ~ r2(X4,X6)
        | id(X6,esk1_1(X4)) )
      & ( ~ id(X6,esk1_1(X4))
        | id(X6,esk1_1(X4)) )
      & ( ~ r2(X4,X6)
        | r2(X4,X6) )
      & ( ~ id(X6,esk1_1(X4))
        | r2(X4,X6) ) ),
    inference(distribute,[status(thm)],[23]) ).

cnf(25,plain,
    ( r2(X1,X2)
    | ~ id(X2,esk1_1(X1)) ),
    inference(split_conjunct,[status(thm)],[24]) ).

cnf(28,plain,
    ( id(X1,esk1_1(X2))
    | ~ r2(X2,X1) ),
    inference(split_conjunct,[status(thm)],[24]) ).

fof(29,plain,
    ! [X8,X9] :
      ( ! [X10] :
          ( ! [X11] :
              ( ~ id(X11,X10)
              | ~ r2(X8,X11) )
          | ~ r2(X9,X10) )
      | id(X8,X9) ),
    inference(variable_rename,[status(thm)],[14]) ).

fof(30,plain,
    ! [X8,X9,X10,X11] :
      ( ~ id(X11,X10)
      | ~ r2(X8,X11)
      | ~ r2(X9,X10)
      | id(X8,X9) ),
    inference(shift_quantors,[status(thm)],[29]) ).

cnf(31,plain,
    ( id(X1,X2)
    | ~ r2(X2,X3)
    | ~ r2(X1,X4)
    | ~ id(X4,X3) ),
    inference(split_conjunct,[status(thm)],[30]) ).

fof(39,plain,
    ? [X14] :
    ! [X15] :
      ( ( id(X15,X14)
        & r1(X15) )
      | ( ~ r1(X15)
        & ~ id(X15,X14) ) ),
    inference(variable_rename,[status(thm)],[15]) ).

fof(40,plain,
    ! [X15] :
      ( ( id(X15,esk5_0)
        & r1(X15) )
      | ( ~ r1(X15)
        & ~ id(X15,esk5_0) ) ),
    inference(skolemize,[status(esa)],[39]) ).

fof(41,plain,
    ! [X15] :
      ( ( ~ r1(X15)
        | id(X15,esk5_0) )
      & ( ~ id(X15,esk5_0)
        | id(X15,esk5_0) )
      & ( ~ r1(X15)
        | r1(X15) )
      & ( ~ id(X15,esk5_0)
        | r1(X15) ) ),
    inference(distribute,[status(thm)],[40]) ).

cnf(45,plain,
    ( id(X1,esk5_0)
    | ~ r1(X1) ),
    inference(split_conjunct,[status(thm)],[41]) ).

fof(46,plain,
    ! [X16,X17] :
      ( ~ id(X16,X17)
      | id(X17,X16) ),
    inference(variable_rename,[status(thm)],[16]) ).

cnf(47,plain,
    ( id(X1,X2)
    | ~ id(X2,X1) ),
    inference(split_conjunct,[status(thm)],[46]) ).

fof(48,plain,
    ! [X19,X20,X21] :
      ( ~ id(X19,X20)
      | id(X19,X21)
      | ~ id(X20,X21) ),
    inference(variable_rename,[status(thm)],[17]) ).

cnf(49,plain,
    ( id(X3,X2)
    | ~ id(X1,X2)
    | ~ id(X3,X1) ),
    inference(split_conjunct,[status(thm)],[48]) ).

fof(50,plain,
    ! [X20] : id(X20,X20),
    inference(variable_rename,[status(thm)],[7]) ).

cnf(51,plain,
    id(X1,X1),
    inference(split_conjunct,[status(thm)],[50]) ).

fof(52,plain,
    ! [X22,X23] :
      ( ~ id(X22,X23)
      | ( ~ r1(X22)
        & ~ r1(X23) )
      | ( r1(X22)
        & r1(X23) ) ),
    inference(variable_rename,[status(thm)],[18]) ).

fof(53,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)],[52]) ).

cnf(55,plain,
    ( r1(X1)
    | ~ id(X1,X2)
    | ~ r1(X2) ),
    inference(split_conjunct,[status(thm)],[53]) ).

fof(58,plain,
    ! [X26,X27,X28,X29] :
      ( ~ id(X26,X28)
      | ~ id(X27,X29)
      | ( ~ r2(X26,X27)
        & ~ r2(X28,X29) )
      | ( r2(X26,X27)
        & r2(X28,X29) ) ),
    inference(variable_rename,[status(thm)],[19]) ).

fof(59,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)],[58]) ).

cnf(62,plain,
    ( r2(X4,X2)
    | ~ id(X1,X2)
    | ~ id(X3,X4)
    | ~ r2(X3,X1) ),
    inference(split_conjunct,[status(thm)],[59]) ).

fof(64,plain,
    ! [X29,X30] :
      ( ! [X31] :
          ( ~ id(X31,X30)
          | ~ r1(X31) )
      | ~ r2(X29,X30) ),
    inference(variable_rename,[status(thm)],[20]) ).

fof(65,plain,
    ! [X29,X30,X31] :
      ( ~ id(X31,X30)
      | ~ r1(X31)
      | ~ r2(X29,X30) ),
    inference(shift_quantors,[status(thm)],[64]) ).

cnf(66,plain,
    ( ~ r2(X1,X2)
    | ~ r1(X3)
    | ~ id(X3,X2) ),
    inference(split_conjunct,[status(thm)],[65]) ).

fof(67,negated_conjecture,
    ! [X10] :
      ( ? [X29] :
          ( ? [X30] :
              ( r1(X30)
              & r2(X30,X29) )
          & id(X10,X29) )
      | ? [X31] :
          ( id(X10,X31)
          & r1(X31) ) ),
    inference(fof_nnf,[status(thm)],[21]) ).

fof(68,negated_conjecture,
    ! [X32] :
      ( ? [X33] :
          ( ? [X34] :
              ( r1(X34)
              & r2(X34,X33) )
          & id(X32,X33) )
      | ? [X35] :
          ( id(X32,X35)
          & r1(X35) ) ),
    inference(variable_rename,[status(thm)],[67]) ).

fof(69,negated_conjecture,
    ! [X32] :
      ( ( r1(esk7_1(X32))
        & r2(esk7_1(X32),esk6_1(X32))
        & id(X32,esk6_1(X32)) )
      | ( id(X32,esk8_1(X32))
        & r1(esk8_1(X32)) ) ),
    inference(skolemize,[status(esa)],[68]) ).

fof(70,negated_conjecture,
    ! [X32] :
      ( ( id(X32,esk8_1(X32))
        | r1(esk7_1(X32)) )
      & ( r1(esk8_1(X32))
        | r1(esk7_1(X32)) )
      & ( id(X32,esk8_1(X32))
        | r2(esk7_1(X32),esk6_1(X32)) )
      & ( r1(esk8_1(X32))
        | r2(esk7_1(X32),esk6_1(X32)) )
      & ( id(X32,esk8_1(X32))
        | id(X32,esk6_1(X32)) )
      & ( r1(esk8_1(X32))
        | id(X32,esk6_1(X32)) ) ),
    inference(distribute,[status(thm)],[69]) ).

cnf(71,negated_conjecture,
    ( id(X1,esk6_1(X1))
    | r1(esk8_1(X1)) ),
    inference(split_conjunct,[status(thm)],[70]) ).

cnf(72,negated_conjecture,
    ( id(X1,esk6_1(X1))
    | id(X1,esk8_1(X1)) ),
    inference(split_conjunct,[status(thm)],[70]) ).

cnf(73,negated_conjecture,
    ( r2(esk7_1(X1),esk6_1(X1))
    | r1(esk8_1(X1)) ),
    inference(split_conjunct,[status(thm)],[70]) ).

cnf(74,negated_conjecture,
    ( r2(esk7_1(X1),esk6_1(X1))
    | id(X1,esk8_1(X1)) ),
    inference(split_conjunct,[status(thm)],[70]) ).

cnf(75,negated_conjecture,
    ( r1(esk7_1(X1))
    | r1(esk8_1(X1)) ),
    inference(split_conjunct,[status(thm)],[70]) ).

cnf(76,negated_conjecture,
    ( r1(esk7_1(X1))
    | id(X1,esk8_1(X1)) ),
    inference(split_conjunct,[status(thm)],[70]) ).

cnf(90,negated_conjecture,
    ( r1(esk8_1(X2))
    | ~ r1(X1)
    | ~ id(X1,esk6_1(X2)) ),
    inference(spm,[status(thm)],[66,73,theory(equality)]) ).

cnf(94,negated_conjecture,
    ( id(esk6_1(X1),esk1_1(esk7_1(X1)))
    | r1(esk8_1(X1)) ),
    inference(spm,[status(thm)],[28,73,theory(equality)]) ).

cnf(95,plain,
    r2(X1,esk1_1(X1)),
    inference(spm,[status(thm)],[25,51,theory(equality)]) ).

cnf(96,negated_conjecture,
    ( id(X2,esk8_1(X2))
    | ~ r1(X1)
    | ~ id(X1,esk6_1(X2)) ),
    inference(spm,[status(thm)],[66,74,theory(equality)]) ).

cnf(97,negated_conjecture,
    ( id(esk6_1(X1),esk1_1(esk7_1(X1)))
    | id(X1,esk8_1(X1)) ),
    inference(spm,[status(thm)],[28,74,theory(equality)]) ).

cnf(104,negated_conjecture,
    ( id(X1,X2)
    | r1(esk8_1(X1))
    | ~ id(esk6_1(X1),X2) ),
    inference(spm,[status(thm)],[49,71,theory(equality)]) ).

cnf(106,negated_conjecture,
    ( id(X1,X2)
    | id(X1,esk8_1(X1))
    | ~ id(esk6_1(X1),X2) ),
    inference(spm,[status(thm)],[49,72,theory(equality)]) ).

cnf(126,plain,
    ( ~ r1(X1)
    | ~ id(X1,esk1_1(X2)) ),
    inference(spm,[status(thm)],[66,95,theory(equality)]) ).

cnf(128,plain,
    ( id(X1,X2)
    | ~ r2(X1,X3)
    | ~ id(X3,esk1_1(X2)) ),
    inference(spm,[status(thm)],[31,95,theory(equality)]) ).

cnf(130,plain,
    ~ r1(esk1_1(X1)),
    inference(spm,[status(thm)],[126,51,theory(equality)]) ).

cnf(142,negated_conjecture,
    ( r1(esk8_1(X1))
    | ~ r1(X1) ),
    inference(spm,[status(thm)],[90,71,theory(equality)]) ).

cnf(144,negated_conjecture,
    ( id(esk8_1(X1),esk5_0)
    | ~ r1(X1) ),
    inference(spm,[status(thm)],[45,142,theory(equality)]) ).

cnf(157,negated_conjecture,
    ( id(esk5_0,esk8_1(X1))
    | ~ r1(X1) ),
    inference(spm,[status(thm)],[47,144,theory(equality)]) ).

cnf(159,negated_conjecture,
    ( id(esk8_1(X1),X2)
    | ~ id(esk5_0,X2)
    | ~ r1(X1) ),
    inference(spm,[status(thm)],[49,144,theory(equality)]) ).

cnf(221,negated_conjecture,
    ( id(esk8_1(X1),esk8_1(X2))
    | ~ r1(X1)
    | ~ r1(X2) ),
    inference(spm,[status(thm)],[159,157,theory(equality)]) ).

cnf(495,negated_conjecture,
    ( id(X1,esk8_1(X1))
    | ~ r1(X1) ),
    inference(spm,[status(thm)],[96,72,theory(equality)]) ).

cnf(502,negated_conjecture,
    ( id(X1,X2)
    | ~ id(esk8_1(X1),X2)
    | ~ r1(X1) ),
    inference(spm,[status(thm)],[49,495,theory(equality)]) ).

cnf(576,negated_conjecture,
    ( id(X1,esk8_1(X2))
    | ~ r1(X1)
    | ~ r1(X2) ),
    inference(spm,[status(thm)],[502,221,theory(equality)]) ).

cnf(699,negated_conjecture,
    ( id(esk8_1(X1),X2)
    | ~ r1(X2)
    | ~ r1(X1) ),
    inference(spm,[status(thm)],[47,576,theory(equality)]) ).

cnf(764,negated_conjecture,
    ( id(X1,X2)
    | ~ r1(X1)
    | ~ r1(X2) ),
    inference(spm,[status(thm)],[502,699,theory(equality)]) ).

cnf(808,negated_conjecture,
    ( r2(X1,X2)
    | ~ r2(X3,X4)
    | ~ id(X4,X2)
    | ~ r1(X3)
    | ~ r1(X1) ),
    inference(spm,[status(thm)],[62,764,theory(equality)]) ).

cnf(849,negated_conjecture,
    ( r1(esk8_1(X1))
    | id(X1,esk1_1(esk7_1(X1))) ),
    inference(spm,[status(thm)],[104,94,theory(equality)]) ).

cnf(861,negated_conjecture,
    ( r2(esk7_1(X1),X1)
    | r1(esk8_1(X1)) ),
    inference(spm,[status(thm)],[25,849,theory(equality)]) ).

cnf(1028,negated_conjecture,
    ( id(X1,esk8_1(X1))
    | id(X1,esk1_1(esk7_1(X1))) ),
    inference(spm,[status(thm)],[106,97,theory(equality)]) ).

cnf(2953,plain,
    ( id(X1,X2)
    | ~ r2(X1,esk1_1(X2)) ),
    inference(spm,[status(thm)],[128,51,theory(equality)]) ).

cnf(25098,negated_conjecture,
    ( r2(X1,X2)
    | ~ r1(X3)
    | ~ r1(X1)
    | ~ r2(X3,X2) ),
    inference(spm,[status(thm)],[808,51,theory(equality)]) ).

cnf(26488,negated_conjecture,
    ( r2(X1,X2)
    | r1(esk8_1(X2))
    | ~ r1(esk7_1(X2))
    | ~ r1(X1) ),
    inference(spm,[status(thm)],[25098,861,theory(equality)]) ).

cnf(29059,negated_conjecture,
    ( r1(esk8_1(X2))
    | r2(X1,X2)
    | ~ r1(X1) ),
    inference(csr,[status(thm)],[26488,75]) ).

cnf(34995,negated_conjecture,
    ( r2(esk7_1(X1),X1)
    | id(X1,esk8_1(X1)) ),
    inference(spm,[status(thm)],[25,1028,theory(equality)]) ).

cnf(35115,negated_conjecture,
    ( r2(X1,X2)
    | id(X2,esk8_1(X2))
    | ~ r1(esk7_1(X2))
    | ~ r1(X1) ),
    inference(spm,[status(thm)],[25098,34995,theory(equality)]) ).

cnf(87295,negated_conjecture,
    ( r2(X1,X2)
    | id(X2,esk8_1(X2))
    | ~ r1(X1) ),
    inference(csr,[status(thm)],[35115,76]) ).

cnf(87298,negated_conjecture,
    ( r1(X1)
    | r2(X2,X1)
    | ~ r1(esk8_1(X1))
    | ~ r1(X2) ),
    inference(spm,[status(thm)],[55,87295,theory(equality)]) ).

cnf(87964,negated_conjecture,
    ( r1(X1)
    | r2(X2,X1)
    | ~ r1(X2) ),
    inference(csr,[status(thm)],[87298,29059]) ).

cnf(88032,negated_conjecture,
    ( id(X1,X2)
    | r1(esk1_1(X2))
    | ~ r1(X1) ),
    inference(spm,[status(thm)],[2953,87964,theory(equality)]) ).

cnf(88293,negated_conjecture,
    ( id(X1,X2)
    | ~ r1(X1) ),
    inference(sr,[status(thm)],[88032,130,theory(equality)]) ).

cnf(88587,negated_conjecture,
    ~ r1(X1),
    inference(spm,[status(thm)],[126,88293,theory(equality)]) ).

cnf(88810,negated_conjecture,
    r1(esk7_1(X1)),
    inference(sr,[status(thm)],[75,88587,theory(equality)]) ).

cnf(88811,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[88810,88587,theory(equality)]) ).

cnf(88812,negated_conjecture,
    $false,
    88811,
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.04  % Problem  : NUN065+1 : TPTP v7.3.0. Released v7.3.0.
% 0.02/0.05  % Command  : sine.py -e eprover -t %d %s
% 0.03/0.25  % Computer : n191.star.cs.uiowa.edu
% 0.03/0.25  % Model    : x86_64 x86_64
% 0.03/0.25  % CPU      : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
% 0.03/0.25  % Memory   : 32218.5MB
% 0.03/0.25  % OS       : Linux 3.10.0-862.11.6.el7.x86_64
% 0.03/0.25  % CPULimit : 300
% 0.03/0.25  % DateTime : Sat Feb 23 19:09:58 CST 2019
% 0.03/0.25  % CPUTime  : 
% 0.07/0.30  % SZS status Started for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.07/0.30  --creating new selector for [NUM009+0.ax]
% 0.94/1.51  -running prover on /export/starexec/sandbox2/tmp/tmp2zfKpT/sel_theBenchmark.p_1 with time limit 29
% 0.94/1.51  -running prover with command ['/export/starexec/sandbox2/solver/bin/Source/./Source/PROVER/eproof.working', '-s', '-tLPO4', '-xAuto', '-tAuto', '--memory-limit=768', '--tptp3-format', '--cpu-limit=29', '/export/starexec/sandbox2/tmp/tmp2zfKpT/sel_theBenchmark.p_1']
% 0.94/1.51  -prover status Theorem
% 0.94/1.51  Problem theBenchmark.p solved in phase 0.
% 0.94/1.51  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.94/1.51  % SZS status Ended for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.94/1.51  Solved 1 out of 1.
% 0.94/1.51  # Problem is unsatisfiable (or provable), constructing proof object
% 0.94/1.51  # SZS status Theorem
% 0.94/1.51  # SZS output start CNFRefutation.
% See solution above
% 1.33/1.52  # SZS output end CNFRefutation
%------------------------------------------------------------------------------