↑ Up

CSE_E---1.7.THM-CRf.s

View TPTP
Problem
Process solution in
SystemOnTSTP
Download .tgz
%------------------------------------------------------------------------------
% File     : CSE_E---1.7
% Problem  : NUN060+2 : TPTP v9.2.1. Released v7.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d

% Computer : n025.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  : 300s
% DateTime : Tue May  5 05:00:48 PM UTC 2026

% Result   : Theorem 1.18s 1.60s
% Output   : CNFRefutation 1.39s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named c_0_25)

% Comments : 
%------------------------------------------------------------------------------
fof(greq4,conjecture,
    ? [X39,X22,X23] :
      ( X23 = X39
      & ? [X16] :
          ( r3(X22,X16,X23)
          & ? [X17] :
              ( r2(X17,X16)
              & ? [X25] :
                  ( r2(X25,X17)
                  & ? [X19] :
                      ( r2(X19,X25)
                      & ? [X34] :
                          ( r1(X34)
                          & r2(X34,X19) ) ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',greq4) ).

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/sandbox/benchmark/Axioms/NUM008+0.ax',axiom_2a) ).

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/sandbox/benchmark/Axioms/NUM008+0.ax',axiom_1a) ).

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

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

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

fof(axiom_3a,axiom,
    ! [X26,X27] :
      ( ! [X28] :
          ( ! [X29] :
              ( ~ r2(X26,X29)
              | X29 != X28 )
          | ~ r2(X27,X28) )
      | X26 = X27 ),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM008+0.ax',axiom_3a) ).

fof(axiom_7a,axiom,
    ! [X41,X42] :
      ( ! [X43] :
          ( ~ r1(X43)
          | X43 != X42 )
      | ~ r2(X41,X42) ),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM008+0.ax',axiom_7a) ).

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

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

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

fof(axiom_6a,axiom,
    ! [X37] :
      ( ? [X38] :
          ( r1(X38)
          & X37 = X38 )
      | ? [X39,X40] :
          ( r2(X39,X40)
          & X37 = X40 ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM008+0.ax',axiom_6a) ).

fof(i_0_12,negated_conjecture,
    ~ ? [X39,X22,X23] :
        ( X23 = X39
        & ? [X16] :
            ( r3(X22,X16,X23)
            & ? [X17] :
                ( r2(X17,X16)
                & ? [X25] :
                    ( r2(X25,X17)
                    & ? [X19] :
                        ( r2(X19,X25)
                        & ? [X34] :
                            ( r1(X34)
                            & r2(X34,X19) ) ) ) ) ) ),
    inference(assume_negation,[status(cth)],[greq4]) ).

fof(i_0_13,plain,
    ! [X114,X115] :
      ( r2(X115,esk11_2(X114,X115))
      & r4(X114,esk11_2(X114,X115),esk10_2(X114,X115))
      & esk10_2(X114,X115) = esk9_2(X114,X115)
      & r3(esk12_2(X114,X115),X114,esk9_2(X114,X115))
      & r4(X114,X115,esk12_2(X114,X115)) ),
    inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[axiom_2a])]) ).

fof(i_0_14,plain,
    ! [X108,X109] :
      ( r2(X109,esk7_2(X108,X109))
      & r3(X108,esk7_2(X108,X109),esk6_2(X108,X109))
      & esk6_2(X108,X109) = esk5_2(X108,X109)
      & r2(esk8_2(X108,X109),esk5_2(X108,X109))
      & r3(X108,X109,esk8_2(X108,X109)) ),
    inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[axiom_1a])]) ).

fof(i_0_15,plain,
    ! [X10,X11] :
    ? [X12] :
    ! [X13] :
      ( ( ~ r4(X10,X11,X13)
        & X13 != X12 )
      | ( r4(X10,X11,X13)
        & X13 = X12 ) ),
    inference(fof_simplification,[status(thm)],[axiom_4]) ).

fof(i_0_16,plain,
    ! [X6,X7] :
    ? [X8] :
    ! [X9] :
      ( ( ~ r3(X6,X7,X9)
        & X9 != X8 )
      | ( r3(X6,X7,X9)
        & X9 = X8 ) ),
    inference(fof_simplification,[status(thm)],[axiom_3]) ).

fof(i_0_17,plain,
    ! [X124] :
      ( r1(esk14_1(X124))
      & r3(X124,esk14_1(X124),esk13_1(X124))
      & esk13_1(X124) = X124 ),
    inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[axiom_4a])]) ).

fof(i_0_18,plain,
    ! [X26,X27] :
      ( ! [X28] :
          ( ! [X29] :
              ( ~ r2(X26,X29)
              | X29 != X28 )
          | ~ r2(X27,X28) )
      | X26 = X27 ),
    inference(fof_simplification,[status(thm)],[axiom_3a]) ).

fof(i_0_19,plain,
    ! [X41,X42] :
      ( ! [X43] :
          ( ~ r1(X43)
          | X43 != X42 )
      | ~ r2(X41,X42) ),
    inference(fof_simplification,[status(thm)],[axiom_7a]) ).

fof(i_0_20,plain,
    ! [X3] :
    ? [X4] :
    ! [X5] :
      ( ( ~ r2(X3,X5)
        & X5 != X4 )
      | ( r2(X3,X5)
        & X5 = X4 ) ),
    inference(fof_simplification,[status(thm)],[axiom_2]) ).

fof(i_0_21,plain,
    ! [X127] :
      ( r1(esk16_1(X127))
      & r4(X127,esk16_1(X127),esk15_1(X127))
      & r1(esk17_1(X127))
      & esk15_1(X127) = esk17_1(X127) ),
    inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[axiom_5a])]) ).

fof(i_0_22,plain,
    ? [X1] :
    ! [X2] :
      ( ( ~ r1(X2)
        & X2 != X1 )
      | ( r1(X2)
        & X2 = X1 ) ),
    inference(fof_simplification,[status(thm)],[axiom_1]) ).

fof(i_0_23,negated_conjecture,
    ! [X138,X139,X140,X141,X142,X143,X144,X145] :
      ( X140 != X138
      | ~ r3(X139,X141,X140)
      | ~ r2(X142,X141)
      | ~ r2(X143,X142)
      | ~ r2(X144,X143)
      | ~ r1(X145)
      | ~ r2(X145,X144) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_12])])]) ).

cnf(i_0_24,plain,
    r4(X1,esk11_2(X1,X2),esk10_2(X1,X2)),
    inference(split_conjunct,[status(thm)],[i_0_13]) ).

cnf(i_0_25,plain,
    esk10_2(X1,X2) = esk9_2(X1,X2),
    inference(split_conjunct,[status(thm)],[i_0_13]) ).

cnf(i_0_26,plain,
    r3(X1,esk7_2(X1,X2),esk6_2(X1,X2)),
    inference(split_conjunct,[status(thm)],[i_0_14]) ).

cnf(i_0_27,plain,
    esk6_2(X1,X2) = esk5_2(X1,X2),
    inference(split_conjunct,[status(thm)],[i_0_14]) ).

fof(i_0_28,plain,
    ! [X104,X105,X107] :
      ( ( r4(X104,X105,X107)
        | ~ r4(X104,X105,X107) )
      & ( X107 = esk4_2(X104,X105)
        | ~ r4(X104,X105,X107) )
      & ( r4(X104,X105,X107)
        | X107 != esk4_2(X104,X105) )
      & ( X107 = esk4_2(X104,X105)
        | X107 != esk4_2(X104,X105) ) ),
    inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[i_0_15])])]) ).

fof(i_0_29,plain,
    ! [X100,X101,X103] :
      ( ( r3(X100,X101,X103)
        | ~ r3(X100,X101,X103) )
      & ( X103 = esk3_2(X100,X101)
        | ~ r3(X100,X101,X103) )
      & ( r3(X100,X101,X103)
        | X103 != esk3_2(X100,X101) )
      & ( X103 = esk3_2(X100,X101)
        | X103 != esk3_2(X100,X101) ) ),
    inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[i_0_16])])]) ).

cnf(i_0_30,plain,
    r3(X1,esk14_1(X1),esk13_1(X1)),
    inference(split_conjunct,[status(thm)],[i_0_17]) ).

cnf(i_0_31,plain,
    esk13_1(X1) = X1,
    inference(split_conjunct,[status(thm)],[i_0_17]) ).

fof(i_0_32,plain,
    ! [X120,X121,X122,X123] :
      ( ~ r2(X120,X123)
      | X123 != X122
      | ~ r2(X121,X122)
      | X120 = X121 ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[i_0_18])]) ).

fof(i_0_33,plain,
    ! [X131] :
      ( ( r2(esk19_1(X131),esk20_1(X131))
        | r1(esk18_1(X131)) )
      & ( X131 = esk20_1(X131)
        | r1(esk18_1(X131)) )
      & ( r2(esk19_1(X131),esk20_1(X131))
        | X131 = esk18_1(X131) )
      & ( X131 = esk20_1(X131)
        | X131 = esk18_1(X131) ) ),
    inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[axiom_6a])])]) ).

fof(i_0_34,plain,
    ! [X135,X136,X137] :
      ( ~ r1(X137)
      | X137 != X136
      | ~ r2(X135,X136) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[i_0_19])]) ).

fof(i_0_35,plain,
    ! [X97,X99] :
      ( ( r2(X97,X99)
        | ~ r2(X97,X99) )
      & ( X99 = esk2_1(X97)
        | ~ r2(X97,X99) )
      & ( r2(X97,X99)
        | X99 != esk2_1(X97) )
      & ( X99 = esk2_1(X97)
        | X99 != esk2_1(X97) ) ),
    inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[i_0_20])])]) ).

cnf(i_0_36,plain,
    r1(esk17_1(X1)),
    inference(split_conjunct,[status(thm)],[i_0_21]) ).

cnf(i_0_37,plain,
    esk15_1(X1) = esk17_1(X1),
    inference(split_conjunct,[status(thm)],[i_0_21]) ).

fof(i_0_38,plain,
    ! [X96] :
      ( ( r1(X96)
        | ~ r1(X96) )
      & ( X96 = esk1_0
        | ~ r1(X96) )
      & ( r1(X96)
        | X96 != esk1_0 )
      & ( X96 = esk1_0
        | X96 != esk1_0 ) ),
    inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[i_0_22])])]) ).

cnf(i_0_39,negated_conjecture,
    ( X1 != X2
    | ~ r3(X3,X4,X1)
    | ~ r2(X5,X4)
    | ~ r2(X6,X5)
    | ~ r2(X7,X6)
    | ~ r1(X8)
    | ~ r2(X8,X7) ),
    inference(split_conjunct,[status(thm)],[i_0_23]),
    [final] ).

cnf(i_0_40,plain,
    r3(esk12_2(X1,X2),X1,esk9_2(X1,X2)),
    inference(split_conjunct,[status(thm)],[i_0_13]),
    [final] ).

cnf(i_0_41,plain,
    r4(X1,esk11_2(X1,X2),esk9_2(X1,X2)),
    inference(rw,[status(thm)],[i_0_24,c_0_25]),
    [final] ).

cnf(i_0_42,plain,
    r3(X1,esk7_2(X1,X2),esk5_2(X1,X2)),
    inference(rw,[status(thm)],[i_0_26,c_0_27]),
    [final] ).

cnf(i_0_43,plain,
    ( X1 = esk4_2(X2,X3)
    | ~ r4(X2,X3,X1) ),
    inference(split_conjunct,[status(thm)],[i_0_28]),
    [final] ).

cnf(i_0_44,plain,
    ( X1 = esk3_2(X2,X3)
    | ~ r3(X2,X3,X1) ),
    inference(split_conjunct,[status(thm)],[i_0_29]),
    [final] ).

cnf(i_0_45,plain,
    r4(X1,X2,esk12_2(X1,X2)),
    inference(split_conjunct,[status(thm)],[i_0_13]),
    [final] ).

cnf(i_0_46,plain,
    r3(X1,X2,esk8_2(X1,X2)),
    inference(split_conjunct,[status(thm)],[i_0_14]),
    [final] ).

cnf(i_0_47,plain,
    ( r4(X1,X2,X3)
    | X3 != esk4_2(X1,X2) ),
    inference(split_conjunct,[status(thm)],[i_0_28]),
    [final] ).

cnf(i_0_48,plain,
    ( r3(X1,X2,X3)
    | X3 != esk3_2(X1,X2) ),
    inference(split_conjunct,[status(thm)],[i_0_29]),
    [final] ).

cnf(i_0_49,plain,
    r4(X1,esk16_1(X1),esk15_1(X1)),
    inference(split_conjunct,[status(thm)],[i_0_21]),
    [final] ).

cnf(i_0_50,plain,
    r2(esk8_2(X1,X2),esk5_2(X1,X2)),
    inference(split_conjunct,[status(thm)],[i_0_14]),
    [final] ).

cnf(i_0_51,plain,
    r3(X1,esk14_1(X1),X1),
    inference(rw,[status(thm)],[i_0_30,c_0_31]),
    [final] ).

cnf(i_0_52,plain,
    ( X1 = X4
    | ~ r2(X1,X2)
    | X2 != X3
    | ~ r2(X4,X3) ),
    inference(split_conjunct,[status(thm)],[i_0_32]),
    [final] ).

cnf(i_0_53,plain,
    r2(X1,esk11_2(X2,X1)),
    inference(split_conjunct,[status(thm)],[i_0_13]),
    [final] ).

cnf(i_0_54,plain,
    r2(X1,esk7_2(X2,X1)),
    inference(split_conjunct,[status(thm)],[i_0_14]),
    [final] ).

cnf(i_0_55,plain,
    ( r2(esk19_1(X1),esk20_1(X1))
    | r1(esk18_1(X1)) ),
    inference(split_conjunct,[status(thm)],[i_0_33]),
    [final] ).

cnf(i_0_56,plain,
    ( ~ r1(X1)
    | X1 != X2
    | ~ r2(X3,X2) ),
    inference(split_conjunct,[status(thm)],[i_0_34]),
    [final] ).

cnf(i_0_57,plain,
    ( r2(esk19_1(X1),esk20_1(X1))
    | X1 = esk18_1(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_33]),
    [final] ).

cnf(i_0_58,plain,
    ( X1 = esk2_1(X2)
    | ~ r2(X2,X1) ),
    inference(split_conjunct,[status(thm)],[i_0_35]),
    [final] ).

cnf(i_0_59,plain,
    ( r2(X1,X2)
    | X2 != esk2_1(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_35]),
    [final] ).

cnf(i_0_60,plain,
    ( X1 = esk20_1(X1)
    | r1(esk18_1(X1)) ),
    inference(split_conjunct,[status(thm)],[i_0_33]),
    [final] ).

cnf(i_0_61,plain,
    ( X1 = esk20_1(X1)
    | X1 = esk18_1(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_33]),
    [final] ).

cnf(i_0_62,plain,
    r1(esk16_1(X1)),
    inference(split_conjunct,[status(thm)],[i_0_21]),
    [final] ).

cnf(i_0_63,plain,
    r1(esk15_1(X1)),
    inference(rw,[status(thm)],[i_0_36,c_0_37]),
    [final] ).

cnf(i_0_64,plain,
    r1(esk14_1(X1)),
    inference(split_conjunct,[status(thm)],[i_0_17]),
    [final] ).

cnf(i_0_65,plain,
    ( X1 = esk1_0
    | ~ r1(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_38]),
    [final] ).

cnf(i_0_66,plain,
    ( r1(X1)
    | X1 != esk1_0 ),
    inference(split_conjunct,[status(thm)],[i_0_38]),
    [final] ).

cnf(i_0_67,axiom,
    X1 = X1 ).

cnf(i_0_68,axiom,
    ( X1 = X2
    | X2 != X1 ) ).

cnf(i_0_69,axiom,
    ( X1 = X2
    | X1 != X3
    | X3 != X2 ) ).

cnf(i_0_70,axiom,
    ( X1 != X2
    | esk20_1(X1) = esk20_1(X2) ) ).

cnf(i_0_71,axiom,
    ( X1 != X2
    | esk18_1(X1) = esk18_1(X2) ) ).

cnf(i_0_72,axiom,
    ( X1 != X2
    | esk2_1(X1) = esk2_1(X2) ) ).

cnf(i_0_73,axiom,
    ( X1 != X2
    | esk4_2(X1,X3) = esk4_2(X2,X3) ) ).

cnf(i_0_74,axiom,
    ( X1 != X2
    | esk4_2(X3,X1) = esk4_2(X3,X2) ) ).

cnf(i_0_75,axiom,
    ( X1 != X2
    | esk3_2(X1,X3) = esk3_2(X2,X3) ) ).

cnf(i_0_76,axiom,
    ( X1 != X2
    | esk3_2(X3,X1) = esk3_2(X3,X2) ) ).

cnf(i_0_77,axiom,
    ( X1 != X2
    | ~ r3(X1,X3,X4)
    | r3(X2,X3,X4) ) ).

cnf(i_0_78,axiom,
    ( X1 != X2
    | ~ r3(X3,X1,X4)
    | r3(X3,X2,X4) ) ).

cnf(i_0_79,axiom,
    ( X1 != X2
    | ~ r3(X3,X4,X1)
    | r3(X3,X4,X2) ) ).

cnf(i_0_80,axiom,
    ( X1 != X2
    | ~ r2(X1,X3)
    | r2(X2,X3) ) ).

cnf(i_0_81,axiom,
    ( X1 != X2
    | ~ r2(X3,X1)
    | r2(X3,X2) ) ).

cnf(i_0_82,axiom,
    ( X1 != X2
    | ~ r1(X1)
    | r1(X2) ) ).

cnf(i_0_83,axiom,
    ( X1 != X2
    | ~ r4(X1,X3,X4)
    | r4(X2,X3,X4) ) ).

cnf(i_0_84,axiom,
    ( X1 != X2
    | ~ r4(X3,X1,X4)
    | r4(X3,X2,X4) ) ).

cnf(i_0_85,axiom,
    ( X1 != X2
    | ~ r4(X3,X4,X1)
    | r4(X3,X4,X2) ) ).

cnf(i_0_67_001,axiom,
    X1 = X1 ).

cnf(i_0_68_002,axiom,
    ( X1 = X2
    | X2 != X1 ) ).

cnf(i_0_69_003,axiom,
    ( X1 = X2
    | X1 != X3
    | X3 != X2 ) ).

cnf(i_0_70_004,axiom,
    ( X1 != X2
    | esk20_1(X1) = esk20_1(X2) ) ).

cnf(i_0_71_005,axiom,
    ( X1 != X2
    | esk18_1(X1) = esk18_1(X2) ) ).

cnf(i_0_72_006,axiom,
    ( X1 != X2
    | esk2_1(X1) = esk2_1(X2) ) ).

cnf(i_0_73_007,axiom,
    ( X1 != X2
    | esk4_2(X1,X3) = esk4_2(X2,X3) ) ).

cnf(i_0_74_008,axiom,
    ( X1 != X2
    | esk4_2(X3,X1) = esk4_2(X3,X2) ) ).

cnf(i_0_75_009,axiom,
    ( X1 != X2
    | esk3_2(X1,X3) = esk3_2(X2,X3) ) ).

cnf(i_0_76_010,axiom,
    ( X1 != X2
    | esk3_2(X3,X1) = esk3_2(X3,X2) ) ).

cnf(i_0_77_011,axiom,
    ( X1 != X2
    | ~ r3(X1,X3,X4)
    | r3(X2,X3,X4) ) ).

cnf(i_0_78_012,axiom,
    ( X1 != X2
    | ~ r3(X3,X1,X4)
    | r3(X3,X2,X4) ) ).

cnf(i_0_79_013,axiom,
    ( X1 != X2
    | ~ r3(X3,X4,X1)
    | r3(X3,X4,X2) ) ).

cnf(i_0_80_014,axiom,
    ( X1 != X2
    | ~ r2(X1,X3)
    | r2(X2,X3) ) ).

cnf(i_0_81_015,axiom,
    ( X1 != X2
    | ~ r2(X3,X1)
    | r2(X3,X2) ) ).

cnf(i_0_82_016,axiom,
    ( X1 != X2
    | ~ r1(X1)
    | r1(X2) ) ).

cnf(i_0_83_017,axiom,
    ( X1 != X2
    | ~ r4(X1,X3,X4)
    | r4(X2,X3,X4) ) ).

cnf(i_0_84_018,axiom,
    ( X1 != X2
    | ~ r4(X3,X1,X4)
    | r4(X3,X2,X4) ) ).

cnf(i_0_85_019,axiom,
    ( X1 != X2
    | ~ r4(X3,X4,X1)
    | r4(X3,X4,X2) ) ).

cnf(i_0_86,plain,
    ( ~ r2(X1,X2)
    | ~ r3(X3,X4,X5)
    | ~ r2(X6,X4)
    | ~ r2(X7,X6)
    | ~ r2(X2,X7)
    | ~ r1(X1) ),
    inference(equality_inference,[],[39]) ).

cnf(i_0_87,plain,
    r4(X1,X2,esk4_2(X1,X2)),
    inference(equality_inference,[],[47]) ).

cnf(i_0_88,plain,
    r3(X1,X2,esk3_2(X1,X2)),
    inference(equality_inference,[],[48]) ).

cnf(i_0_89,plain,
    ( ~ r2(X1,X2)
    | X3 = X1
    | ~ r2(X3,X2) ),
    inference(equality_inference,[],[52]) ).

cnf(i_0_90,plain,
    ( ~ r1(X1)
    | ~ r2(X2,X1) ),
    inference(equality_inference,[],[56]) ).

cnf(i_0_91,plain,
    r2(X1,esk2_1(X1)),
    inference(equality_inference,[],[59]) ).

cnf(i_0_92,plain,
    r1(esk1_0),
    inference(equality_inference,[],[66]) ).

cnf(i_0_93,plain,
    ~ r2(X1,esk1_0),
    inference(scs_inference,[],[i_0_92,i_0_90]) ).

cnf(i_0_94,plain,
    ( ~ r1(X1)
    | ~ r2(X2,X1) ),
    inference(rename_variables,[],[i_0_90]) ).

cnf(i_0_95,plain,
    esk1_0 != esk2_1(X1),
    inference(scs_inference,[],[i_0_91,i_0_92,i_0_90,i_0_56]) ).

cnf(i_0_96,plain,
    ( ~ r1(X1)
    | X1 != X2
    | ~ r2(X3,X2) ),
    inference(rename_variables,[],[i_0_56]) ).

cnf(i_0_97,plain,
    esk2_1(X1) != esk1_0,
    inference(scs_inference,[],[i_0_91,i_0_92,i_0_90,i_0_56,i_0_81]) ).

cnf(i_0_98,plain,
    esk11_2(X1,esk2_1(esk1_0)) != esk2_1(esk1_0),
    inference(scs_inference,[],[i_0_91,i_0_92,i_0_53,i_0_90,i_0_56,i_0_81,i_0_52]) ).

cnf(i_0_99,plain,
    r2(X1,esk2_1(X1)),
    inference(rename_variables,[],[i_0_91]) ).

cnf(i_0_100,plain,
    r2(X1,esk11_2(X2,X1)),
    inference(rename_variables,[],[i_0_53]) ).

cnf(i_0_101,plain,
    ( ~ r2(X1,X2)
    | X3 = X1
    | ~ r2(X3,X4)
    | X4 != X2 ),
    inference(rename_variables,[],[i_0_52]) ).

cnf(i_0_102,plain,
    ~ r2(esk2_1(esk11_2(X1,esk1_0)),esk11_2(X1,esk1_0)),
    inference(scs_inference,[],[i_0_40,i_0_91,i_0_99,i_0_92,i_0_53,i_0_100,i_0_90,i_0_56,i_0_81,i_0_52,i_0_86]) ).

cnf(i_0_103,plain,
    r2(X1,esk2_1(X1)),
    inference(rename_variables,[],[i_0_91]) ).

cnf(i_0_104,plain,
    r2(X1,esk11_2(X2,X1)),
    inference(rename_variables,[],[i_0_53]) ).

cnf(i_0_105,plain,
    r3(esk12_2(X1,X2),X1,esk9_2(X1,X2)),
    inference(rename_variables,[],[i_0_40]) ).

cnf(i_0_106,plain,
    ( ~ r2(X1,X2)
    | ~ r1(X3)
    | ~ r2(X3,X1)
    | ~ r3(X4,X5,X6)
    | ~ r2(X7,X5)
    | ~ r2(X2,X7) ),
    inference(rename_variables,[],[i_0_86]) ).

cnf(i_0_107,plain,
    ~ r2(esk1_0,esk11_2(X1,esk2_1(esk1_0))),
    inference(scs_inference,[],[i_0_40,i_0_91,i_0_99,i_0_92,i_0_53,i_0_100,i_0_90,i_0_56,i_0_81,i_0_52,i_0_86,i_0_58]) ).

cnf(i_0_108,plain,
    ( X1 = esk2_1(X2)
    | ~ r2(X2,X1) ),
    inference(rename_variables,[],[i_0_58]) ).

cnf(i_0_109,plain,
    ~ r1(esk2_1(esk1_0)),
    inference(scs_inference,[],[i_0_40,i_0_91,i_0_99,i_0_92,i_0_53,i_0_100,i_0_90,i_0_56,i_0_81,i_0_52,i_0_86,i_0_58,i_0_65]) ).

cnf(i_0_110,plain,
    ( X1 = esk1_0
    | ~ r1(X1) ),
    inference(rename_variables,[],[i_0_65]) ).

cnf(i_0_111,plain,
    esk16_1(X1) != esk2_1(esk1_0),
    inference(scs_inference,[],[i_0_40,i_0_91,i_0_99,i_0_92,i_0_53,i_0_100,i_0_62,i_0_90,i_0_56,i_0_81,i_0_52,i_0_86,i_0_58,i_0_65,i_0_82]) ).

cnf(i_0_112,plain,
    ~ r1(esk2_1(X1)),
    inference(scs_inference,[],[i_0_97,i_0_65]) ).

cnf(i_0_113,plain,
    ( X1 = esk1_0
    | ~ r1(X1) ),
    inference(rename_variables,[],[i_0_65]) ).

cnf(i_0_114,plain,
    ~ r2(esk1_0,esk16_1(X1)),
    inference(scs_inference,[],[i_0_111,i_0_97,i_0_65,i_0_58]) ).

cnf(i_0_115,plain,
    ( X1 = esk2_1(X2)
    | ~ r2(X2,X1) ),
    inference(rename_variables,[],[i_0_58]) ).

cnf(i_0_116,plain,
    ~ r2(X1,esk15_1(X2)),
    inference(scs_inference,[],[i_0_111,i_0_97,i_0_63,i_0_65,i_0_58,i_0_90]) ).

cnf(i_0_117,plain,
    ( ~ r1(X1)
    | ~ r2(X2,X1) ),
    inference(rename_variables,[],[i_0_90]) ).

cnf(i_0_118,plain,
    esk15_1(X1) != esk2_1(X2),
    inference(scs_inference,[],[i_0_91,i_0_111,i_0_97,i_0_63,i_0_65,i_0_58,i_0_90,i_0_56]) ).

cnf(i_0_119,plain,
    ( ~ r1(X1)
    | X1 != X2
    | ~ r2(X3,X2) ),
    inference(rename_variables,[],[i_0_56]) ).

cnf(i_0_120,plain,
    esk2_1(esk1_0) != esk11_2(X1,esk2_1(esk1_0)),
    inference(scs_inference,[],[i_0_91,i_0_111,i_0_97,i_0_107,i_0_63,i_0_65,i_0_58,i_0_90,i_0_56,i_0_81]) ).

cnf(i_0_121,plain,
    r2(X1,esk2_1(X1)),
    inference(rename_variables,[],[i_0_91]) ).

cnf(i_0_122,plain,
    esk14_1(X1) != esk2_1(esk1_0),
    inference(scs_inference,[],[i_0_91,i_0_111,i_0_97,i_0_109,i_0_107,i_0_63,i_0_64,i_0_65,i_0_58,i_0_90,i_0_56,i_0_81,i_0_82]) ).

cnf(i_0_123,plain,
    ~ r2(esk2_1(esk7_2(X1,esk1_0)),esk7_2(X1,esk1_0)),
    inference(scs_inference,[],[i_0_40,i_0_91,i_0_121,i_0_92,i_0_111,i_0_54,i_0_97,i_0_109,i_0_107,i_0_63,i_0_64,i_0_65,i_0_58,i_0_90,i_0_56,i_0_81,i_0_82,i_0_86]) ).

cnf(i_0_124,plain,
    r2(X1,esk2_1(X1)),
    inference(rename_variables,[],[i_0_91]) ).

cnf(i_0_125,plain,
    r2(X1,esk7_2(X2,X1)),
    inference(rename_variables,[],[i_0_54]) ).

cnf(i_0_126,plain,
    r3(esk12_2(X1,X2),X1,esk9_2(X1,X2)),
    inference(rename_variables,[],[i_0_40]) ).

cnf(i_0_127,plain,
    ( ~ r2(X1,X2)
    | ~ r1(X3)
    | ~ r2(X3,X1)
    | ~ r3(X4,X5,X6)
    | ~ r2(X7,X5)
    | ~ r2(X2,X7) ),
    inference(rename_variables,[],[i_0_86]) ).

cnf(i_0_128,plain,
    ( X1 != esk1_0
    | ~ r2(X1,esk16_1(X2)) ),
    inference(scs_inference,[],[i_0_40,i_0_91,i_0_121,i_0_92,i_0_111,i_0_54,i_0_97,i_0_109,i_0_107,i_0_63,i_0_64,i_0_65,i_0_58,i_0_90,i_0_56,i_0_81,i_0_82,i_0_86,i_0_80]) ).

cnf(i_0_129,plain,
    r2(X1,esk2_1(X1)),
    inference(rename_variables,[],[i_0_91]) ).

cnf(i_0_130,plain,
    r2(X1,esk2_1(X1)),
    inference(rename_variables,[],[i_0_91]) ).

cnf(i_0_131,plain,
    ( ~ r2(X1,X2)
    | ~ r2(X3,X2)
    | X1 = X3 ),
    inference(rename_variables,[],[i_0_89]) ).

cnf(i_0_133,plain,
    ~ r2(esk1_0,esk16_1(X1)),
    inference(equality_inference,[],[128]) ).

cnf(i_0_134,plain,
    ~ r2(esk1_0,esk14_1(X1)),
    inference(scs_inference,[],[i_0_122,i_0_58]) ).

cnf(i_0_135,plain,
    ( X1 = esk2_1(X2)
    | ~ r2(X2,X1) ),
    inference(rename_variables,[],[i_0_58]) ).

cnf(i_0_136,plain,
    ~ r2(X1,esk16_1(X2)),
    inference(scs_inference,[],[i_0_122,i_0_62,i_0_58,i_0_90]) ).

cnf(i_0_137,plain,
    ( ~ r1(X1)
    | ~ r2(X2,X1) ),
    inference(rename_variables,[],[i_0_90]) ).

cnf(i_0_138,plain,
    esk16_1(X1) != esk2_1(X2),
    inference(scs_inference,[],[i_0_91,i_0_122,i_0_62,i_0_58,i_0_90,i_0_56]) ).

cnf(i_0_139,plain,
    ( ~ r1(X1)
    | X1 != X2
    | ~ r2(X3,X2) ),
    inference(rename_variables,[],[i_0_56]) ).

cnf(i_0_140,plain,
    esk2_1(X1) != esk15_1(X2),
    inference(scs_inference,[],[i_0_91,i_0_116,i_0_122,i_0_62,i_0_58,i_0_90,i_0_56,i_0_81]) ).

cnf(i_0_141,plain,
    ~ r2(X1,esk15_1(X2)),
    inference(rename_variables,[],[i_0_116]) ).

cnf(i_0_142,plain,
    esk14_1(X1) != esk2_1(X2),
    inference(scs_inference,[],[i_0_91,i_0_112,i_0_116,i_0_122,i_0_62,i_0_64,i_0_58,i_0_90,i_0_56,i_0_81,i_0_82]) ).

cnf(i_0_143,plain,
    ~ r2(esk11_2(X1,esk2_1(esk1_0)),esk2_1(esk1_0)),
    inference(scs_inference,[],[i_0_40,i_0_92,i_0_91,i_0_112,i_0_116,i_0_122,i_0_53,i_0_62,i_0_64,i_0_58,i_0_90,i_0_56,i_0_81,i_0_82,i_0_86]) ).

cnf(i_0_144,plain,
    r2(X1,esk11_2(X2,X1)),
    inference(rename_variables,[],[i_0_53]) ).

cnf(i_0_145,plain,
    r2(X1,esk2_1(X1)),
    inference(rename_variables,[],[i_0_91]) ).

cnf(i_0_146,plain,
    r3(esk12_2(X1,X2),X1,esk9_2(X1,X2)),
    inference(rename_variables,[],[i_0_40]) ).

cnf(i_0_147,plain,
    ( ~ r2(X1,X2)
    | ~ r1(X3)
    | ~ r2(X3,X1)
    | ~ r3(X4,X5,X6)
    | ~ r2(X7,X5)
    | ~ r2(X2,X7) ),
    inference(rename_variables,[],[i_0_86]) ).

cnf(i_0_148,plain,
    ( X1 != esk1_0
    | ~ r2(X1,esk14_1(X2)) ),
    inference(scs_inference,[],[i_0_40,i_0_92,i_0_91,i_0_112,i_0_116,i_0_122,i_0_53,i_0_62,i_0_64,i_0_58,i_0_90,i_0_56,i_0_81,i_0_82,i_0_86,i_0_80]) ).

cnf(i_0_149,plain,
    ( X1 = esk1_0
    | ~ r1(X1) ),
    inference(rename_variables,[],[i_0_65]) ).

cnf(i_0_150,plain,
    r2(X1,esk2_1(X1)),
    inference(rename_variables,[],[i_0_91]) ).

cnf(i_0_151,plain,
    r2(X1,esk2_1(X1)),
    inference(rename_variables,[],[i_0_91]) ).

cnf(i_0_153,plain,
    ~ r2(esk1_0,esk14_1(X1)),
    inference(equality_inference,[],[148]) ).

cnf(i_0_154,plain,
    ~ r2(X1,esk14_1(X2)),
    inference(scs_inference,[],[i_0_142,i_0_58]) ).

cnf(i_0_155,plain,
    ( X1 = esk2_1(X2)
    | ~ r2(X2,X1) ),
    inference(rename_variables,[],[i_0_58]) ).

cnf(i_0_156,plain,
    esk1_0 != esk11_2(X1,esk2_1(esk1_0)),
    inference(scs_inference,[],[i_0_143,i_0_91,i_0_142,i_0_58,i_0_80]) ).

cnf(i_0_157,plain,
    r2(X1,esk2_1(X1)),
    inference(rename_variables,[],[i_0_91]) ).

cnf(i_0_158,plain,
    esk2_1(X1) != esk16_1(X2),
    inference(scs_inference,[],[i_0_143,i_0_91,i_0_157,i_0_136,i_0_142,i_0_58,i_0_80,i_0_81]) ).

cnf(i_0_159,plain,
    ~ r2(X1,esk16_1(X2)),
    inference(rename_variables,[],[i_0_136]) ).

cnf(i_0_160,plain,
    esk7_2(X1,esk2_1(X2)) != esk2_1(esk1_0),
    inference(scs_inference,[],[i_0_143,i_0_91,i_0_157,i_0_97,i_0_136,i_0_142,i_0_54,i_0_58,i_0_80,i_0_81,i_0_52]) ).

cnf(i_0_161,plain,
    r2(X1,esk2_1(X1)),
    inference(rename_variables,[],[i_0_91]) ).

cnf(i_0_162,plain,
    r2(X1,esk7_2(X2,X1)),
    inference(rename_variables,[],[i_0_54]) ).

cnf(i_0_163,plain,
    ( ~ r2(X1,X2)
    | X3 = X1
    | ~ r2(X3,X4)
    | X4 != X2 ),
    inference(rename_variables,[],[i_0_52]) ).

cnf(i_0_164,plain,
    ~ r2(esk7_2(X1,esk2_1(esk1_0)),esk2_1(esk1_0)),
    inference(scs_inference,[],[i_0_40,i_0_143,i_0_92,i_0_91,i_0_157,i_0_161,i_0_97,i_0_136,i_0_142,i_0_54,i_0_162,i_0_58,i_0_80,i_0_81,i_0_52,i_0_86]) ).

cnf(i_0_165,plain,
    r2(X1,esk7_2(X2,X1)),
    inference(rename_variables,[],[i_0_54]) ).

cnf(i_0_166,plain,
    r2(X1,esk2_1(X1)),
    inference(rename_variables,[],[i_0_91]) ).

cnf(i_0_167,plain,
    r3(esk12_2(X1,X2),X1,esk9_2(X1,X2)),
    inference(rename_variables,[],[i_0_40]) ).

cnf(i_0_168,plain,
    ( ~ r2(X1,X2)
    | ~ r1(X3)
    | ~ r2(X3,X1)
    | ~ r3(X4,X5,X6)
    | ~ r2(X7,X5)
    | ~ r2(X2,X7) ),
    inference(rename_variables,[],[i_0_86]) ).

cnf(i_0_169,plain,
    ~ r2(esk1_0,esk7_2(X1,esk2_1(X2))),
    inference(scs_inference,[],[i_0_160,i_0_58]) ).

cnf(i_0_170,plain,
    ( X1 = esk2_1(X2)
    | ~ r2(X2,X1) ),
    inference(rename_variables,[],[i_0_58]) ).

cnf(i_0_171,plain,
    esk1_0 != esk7_2(X1,esk2_1(esk1_0)),
    inference(scs_inference,[],[i_0_164,i_0_91,i_0_160,i_0_58,i_0_80]) ).

cnf(i_0_172,plain,
    r2(X1,esk2_1(X1)),
    inference(rename_variables,[],[i_0_91]) ).

cnf(i_0_173,plain,
    esk2_1(X1) != esk14_1(X2),
    inference(scs_inference,[],[i_0_164,i_0_91,i_0_172,i_0_154,i_0_160,i_0_58,i_0_80,i_0_81]) ).

cnf(i_0_174,plain,
    ~ r2(X1,esk14_1(X2)),
    inference(rename_variables,[],[i_0_154]) ).

cnf(i_0_175,plain,
    esk11_2(X1,esk2_1(X2)) != esk2_1(esk1_0),
    inference(scs_inference,[],[i_0_164,i_0_91,i_0_172,i_0_97,i_0_154,i_0_160,i_0_53,i_0_58,i_0_80,i_0_81,i_0_52]) ).

cnf(i_0_176,plain,
    r2(X1,esk2_1(X1)),
    inference(rename_variables,[],[i_0_91]) ).

cnf(i_0_177,plain,
    r2(X1,esk11_2(X2,X1)),
    inference(rename_variables,[],[i_0_53]) ).

cnf(i_0_178,plain,
    ( ~ r2(X1,X2)
    | X3 = X1
    | ~ r2(X3,X4)
    | X4 != X2 ),
    inference(rename_variables,[],[i_0_52]) ).

cnf(i_0_179,plain,
    ( ~ r2(esk1_0,esk8_2(X1,X2))
    | ~ r2(esk5_2(X1,X2),esk8_2(X1,X2)) ),
    inference(scs_inference,[],[i_0_40,i_0_164,i_0_92,i_0_91,i_0_172,i_0_97,i_0_154,i_0_160,i_0_50,i_0_53,i_0_58,i_0_80,i_0_81,i_0_52,i_0_86]) ).

cnf(i_0_180,plain,
    r3(esk12_2(X1,X2),X1,esk9_2(X1,X2)),
    inference(rename_variables,[],[i_0_40]) ).

cnf(i_0_181,plain,
    ( ~ r2(X1,X2)
    | ~ r1(X3)
    | ~ r2(X3,X1)
    | ~ r3(X4,X5,X6)
    | ~ r2(X7,X5)
    | ~ r2(X2,X7) ),
    inference(rename_variables,[],[i_0_86]) ).

cnf(i_0_182,plain,
    ~ r2(esk1_0,esk11_2(X1,esk2_1(X2))),
    inference(scs_inference,[],[i_0_175,i_0_58]) ).

cnf(i_0_183,plain,
    ( X1 = esk2_1(X2)
    | ~ r2(X2,X1) ),
    inference(rename_variables,[],[i_0_58]) ).

cnf(i_0_184,plain,
    esk2_1(esk1_0) != esk7_2(X1,esk2_1(X2)),
    inference(scs_inference,[],[i_0_91,i_0_175,i_0_169,i_0_58,i_0_81]) ).

cnf(i_0_185,plain,
    r2(X1,esk2_1(X1)),
    inference(rename_variables,[],[i_0_91]) ).

cnf(i_0_186,plain,
    esk2_1(esk2_1(X1)) != esk7_2(X2,esk1_0),
    inference(scs_inference,[],[i_0_91,i_0_185,i_0_97,i_0_175,i_0_169,i_0_54,i_0_58,i_0_81,i_0_52]) ).

cnf(i_0_187,plain,
    r2(X1,esk7_2(X2,X1)),
    inference(rename_variables,[],[i_0_54]) ).

cnf(i_0_188,plain,
    r2(X1,esk2_1(X1)),
    inference(rename_variables,[],[i_0_91]) ).

cnf(i_0_189,plain,
    ( ~ r2(X1,X2)
    | X3 = X1
    | ~ r2(X3,X4)
    | X4 != X2 ),
    inference(rename_variables,[],[i_0_52]) ).

cnf(i_0_190,plain,
    esk2_1(esk1_0) != esk11_2(X1,esk2_1(X2)),
    inference(scs_inference,[],[i_0_91,i_0_182,i_0_81]) ).

cnf(i_0_191,plain,
    r2(X1,esk2_1(X1)),
    inference(rename_variables,[],[i_0_91]) ).

cnf(i_0_192,plain,
    esk2_1(esk2_1(X1)) != esk11_2(X2,esk1_0),
    inference(scs_inference,[],[i_0_91,i_0_191,i_0_97,i_0_182,i_0_53,i_0_81,i_0_52]) ).

cnf(i_0_193,plain,
    r2(X1,esk11_2(X2,X1)),
    inference(rename_variables,[],[i_0_53]) ).

cnf(i_0_194,plain,
    r2(X1,esk2_1(X1)),
    inference(rename_variables,[],[i_0_91]) ).

cnf(i_0_195,plain,
    ( ~ r2(X1,X2)
    | X3 = X1
    | ~ r2(X3,X4)
    | X4 != X2 ),
    inference(rename_variables,[],[i_0_52]) ).

cnf(i_0_196,plain,
    ~ r2(esk1_0,esk8_2(X1,X2)),
    inference(scs_inference,[],[i_0_42,i_0_92,i_0_91,i_0_50,i_0_54,i_0_86]) ).

cnf(i_0_197,plain,
    r3(X1,esk7_2(X1,X2),esk5_2(X1,X2)),
    inference(rename_variables,[],[i_0_42]) ).

cnf(i_0_198,plain,
    r2(X1,esk7_2(X2,X1)),
    inference(rename_variables,[],[i_0_54]) ).

cnf(i_0_199,plain,
    r2(X1,esk2_1(X1)),
    inference(rename_variables,[],[i_0_91]) ).

cnf(i_0_200,plain,
    ( ~ r2(X1,X2)
    | ~ r1(X3)
    | ~ r2(X3,X1)
    | ~ r3(X4,X5,X6)
    | ~ r2(X7,X5)
    | ~ r2(X2,X7) ),
    inference(rename_variables,[],[i_0_86]) ).

cnf(i_0_201,plain,
    ( X1 != esk1_0
    | ~ r2(X1,esk8_2(X2,X3)) ),
    inference(scs_inference,[],[i_0_42,i_0_92,i_0_91,i_0_50,i_0_54,i_0_86,i_0_80]) ).

cnf(i_0_202,plain,
    esk2_1(esk1_0) != esk8_2(X1,X2),
    inference(scs_inference,[],[i_0_42,i_0_92,i_0_91,i_0_199,i_0_50,i_0_54,i_0_86,i_0_80,i_0_81]) ).

cnf(i_0_203,plain,
    r2(X1,esk2_1(X1)),
    inference(rename_variables,[],[i_0_91]) ).

cnf(i_0_204,plain,
    esk2_1(esk2_1(esk1_0)) != esk5_2(X1,X2),
    inference(scs_inference,[],[i_0_42,i_0_92,i_0_91,i_0_199,i_0_203,i_0_50,i_0_54,i_0_86,i_0_80,i_0_81,i_0_52]) ).

cnf(i_0_205,plain,
    r2(X1,esk2_1(X1)),
    inference(rename_variables,[],[i_0_91]) ).

cnf(i_0_206,plain,
    ( ~ r2(X1,X2)
    | X3 = X1
    | ~ r2(X3,X4)
    | X4 != X2 ),
    inference(rename_variables,[],[i_0_52]) ).

cnf(i_0_207,plain,
    r2(X1,esk2_1(X1)),
    inference(rename_variables,[],[i_0_91]) ).

cnf(i_0_208,plain,
    r2(X1,esk2_1(X1)),
    inference(rename_variables,[],[i_0_91]) ).

cnf(i_0_210,plain,
    ~ r2(esk1_0,esk8_2(X1,X2)),
    inference(equality_inference,[],[201]) ).

cnf(i_0_211,plain,
    ~ r2(esk2_1(esk11_2(X1,esk1_0)),X2),
    inference(scs_inference,[],[i_0_42,i_0_92,i_0_91,i_0_53,i_0_54,i_0_86]) ).

cnf(i_0_212,plain,
    r2(X1,esk2_1(X1)),
    inference(rename_variables,[],[i_0_91]) ).

cnf(i_0_213,plain,
    r2(X1,esk11_2(X2,X1)),
    inference(rename_variables,[],[i_0_53]) ).

cnf(i_0_214,plain,
    r3(X1,esk7_2(X1,X2),esk5_2(X1,X2)),
    inference(rename_variables,[],[i_0_42]) ).

cnf(i_0_215,plain,
    ( ~ r2(X1,X2)
    | ~ r1(X3)
    | ~ r2(X3,X1)
    | ~ r3(X4,X5,X6)
    | ~ r2(X7,X5)
    | ~ r2(X2,X7) ),
    inference(rename_variables,[],[i_0_86]) ).

cnf(i_0_216,plain,
    X1 != esk2_1(esk11_2(X2,esk1_0)),
    inference(scs_inference,[],[i_0_42,i_0_92,i_0_91,i_0_212,i_0_53,i_0_54,i_0_86,i_0_80]) ).

cnf(i_0_218,plain,
    r2(X1,esk2_1(X1)),
    inference(rename_variables,[],[i_0_91]) ).

cnf(i_0_219,plain,
    $false,
    inference(scs_inference,[],[i_0_42,i_0_92,i_0_91,i_0_212,i_0_218,i_0_53,i_0_54,i_0_86,i_0_80,i_0_81,i_0_89]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11  % Problem    : NUN060+2 : TPTP v9.2.1. Released v7.3.0.
% 0.00/0.11  % Command    : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.15/0.32  % Computer : n025.cluster.edu
% 0.15/0.32  % Model    : x86_64 x86_64
% 0.15/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.32  % Memory   : 8042.1875MB
% 0.15/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.32  % CPULimit   : 300
% 0.15/0.32  % WCLimit    : 300
% 0.15/0.32  % DateTime   : Tue May  5 01:22:13 EDT 2026
% 0.15/0.32  % CPUTime    : 
% 0.15/0.34  % start to proof: theBenchmark
% 1.18/1.60  % Version  : CSE_E---1.7
% 1.18/1.60  % Problem  : theBenchmark.p
% 1.18/1.60  % SZS status Theorem for theBenchmark.p
% 1.18/1.60  % SZS output start CNFRefutation
% See solution above
% 1.39/1.82  % Total time : 1.268s
%------------------------------------------------------------------------------