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CSE_E---1.7.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : CSE_E---1.7
% Problem  : NUM840+2 : TPTP v9.2.1. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d

% Computer : n004.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 04:58:41 PM UTC 2026

% Result   : Theorem 0.45s 1.61s
% Output   : CNFRefutation 0.66s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named c_0_37)

% Comments : 
%------------------------------------------------------------------------------
fof('ass(cond(52, 0), 0)',axiom,
    ! [X27,X28] : vplus(vsucc(X27),X28) = vsucc(vplus(X27,X28)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(52, 0), 0)') ).

fof('qu(cond(conseq(axiom(3)), 3), and(holds(definiens(29), 45, 0), holds(definiens(29), 44, 0)))',axiom,
    ! [X33,X34] :
      ( vplus(X33,vsucc(X34)) = vsucc(vplus(X33,X34))
      & vplus(X33,v1) = vsucc(X33) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(conseq(axiom(3)), 3), and(holds(definiens(29), 45, 0), holds(definiens(29), 44, 0)))') ).

fof('ass(cond(goal(130), 0), 2)',axiom,
    ! [X8,X9] :
      ( ~ greater(X8,X9)
      | ~ less(X8,X9) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(goal(130), 0), 2)') ).

fof('ass(cond(goal(130), 0), 3)',axiom,
    ! [X8,X9] :
      ( X8 != X9
      | ~ greater(X8,X9) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(goal(130), 0), 3)') ).

fof('ass(cond(goal(130), 0), 1)',axiom,
    ! [X8,X9] :
      ( X8 != X9
      | ~ less(X8,X9) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(goal(130), 0), 1)') ).

fof('ass(cond(43, 0), 0)',axiom,
    ! [X29] : vplus(v1,X29) = vsucc(X29),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(43, 0), 0)') ).

fof('ass(cond(conjunct1(204), 0), 0)',axiom,
    ( greater(vplus(vd328,vd330),vplus(vd329,vd330))
   => greater(vd328,vd329) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(conjunct1(204), 0), 0)') ).

fof('ass(cond(goal(193), 0), 2)',axiom,
    ! [X1,X2,X3] :
      ( greater(X1,X2)
     => greater(vplus(X1,X3),vplus(X2,X3)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(goal(193), 0), 2)') ).

fof('ass(cond(goal(193), 0), 0)',axiom,
    ! [X1,X2,X3] :
      ( less(X1,X2)
     => less(vplus(X1,X3),vplus(X2,X3)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(goal(193), 0), 0)') ).

fof('ass(cond(goal(88), 0), 0)',axiom,
    ! [X16,X17] :
      ( X16 = X17
      | ? [X18] : X16 = vplus(X17,X18)
      | ? [X19] : X17 = vplus(X16,X19) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(goal(88), 0), 0)') ).

fof('ass(cond(33, 0), 0)',axiom,
    ! [X30,X31,X32] : vplus(vplus(X30,X31),X32) = vplus(X30,vplus(X31,X32)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(33, 0), 0)') ).

fof('def(cond(conseq(axiom(3)), 11), 1)',axiom,
    ! [X13,X14] :
      ( greater(X14,X13)
    <=> ? [X15] : X14 = vplus(X13,X15) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','def(cond(conseq(axiom(3)), 11), 1)') ).

fof('def(cond(conseq(axiom(3)), 12), 1)',axiom,
    ! [X10,X11] :
      ( less(X11,X10)
    <=> ? [X12] : X10 = vplus(X11,X12) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','def(cond(conseq(axiom(3)), 12), 1)') ).

fof('ass(cond(goal(88), 0), 2)',axiom,
    ! [X16,X17] :
      ( ~ ? [X18] : X16 = vplus(X17,X18)
      | ~ ? [X19] : X17 = vplus(X16,X19) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(goal(88), 0), 2)') ).

fof('ass(cond(81, 0), 0)',axiom,
    ! [X20,X21] :
      ( X20 != X21
     => ! [X22] : vplus(X22,X20) != vplus(X22,X21) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(81, 0), 0)') ).

fof('ass(cond(147, 0), 0)',axiom,
    ! [X4,X5] :
      ( less(X4,X5)
     => greater(X5,X4) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(147, 0), 0)') ).

fof('ass(cond(140, 0), 0)',axiom,
    ! [X6,X7] :
      ( greater(X6,X7)
     => less(X7,X6) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(140, 0), 0)') ).

fof('ass(cond(conjunct1(conjunct2(204)), 0), 0)',axiom,
    ( vplus(vd328,vd330) = vplus(vd329,vd330)
   => vd328 = vd329 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(conjunct1(conjunct2(204)), 0), 0)') ).

fof('ass(cond(goal(130), 0), 0)',axiom,
    ! [X8,X9] :
      ( X8 = X9
      | greater(X8,X9)
      | less(X8,X9) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(goal(130), 0), 0)') ).

fof('ass(cond(61, 0), 0)',axiom,
    ! [X25,X26] : vplus(X26,X25) = vplus(X25,X26),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(61, 0), 0)') ).

fof('ass(cond(goal(88), 0), 3)',axiom,
    ! [X16,X17] :
      ( X16 != X17
      | ~ ? [X18] : X16 = vplus(X17,X18) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(goal(88), 0), 3)') ).

fof('ass(cond(goal(88), 0), 1)',axiom,
    ! [X16,X17] :
      ( X16 != X17
      | ~ ? [X19] : X17 = vplus(X16,X19) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(goal(88), 0), 1)') ).

fof('ass(cond(73, 0), 0)',axiom,
    ! [X23,X24] : X24 != vplus(X23,X24),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(73, 0), 0)') ).

fof('holds(conseq(conjunct2(conjunct2(204))), 336, 0)',conjecture,
    less(vd328,vd329),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','holds(conseq(conjunct2(conjunct2(204))), 336, 0)') ).

fof('holds(antec(conjunct2(conjunct2(204))), 335, 0)',axiom,
    less(vplus(vd328,vd330),vplus(vd329,vd330)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','holds(antec(conjunct2(conjunct2(204))), 335, 0)') ).

fof(i_0_25,plain,
    ! [X145,X146] : vplus(vsucc(X145),X146) = vsucc(vplus(X145,X146)),
    inference(variable_rename,[status(thm)],['ass(cond(52, 0), 0)']) ).

fof(i_0_26,plain,
    ! [X151,X152] :
      ( vplus(X151,vsucc(X152)) = vsucc(vplus(X151,X152))
      & vplus(X151,v1) = vsucc(X151) ),
    inference(variable_rename,[status(thm)],['qu(cond(conseq(axiom(3)), 3), and(holds(definiens(29), 45, 0), holds(definiens(29), 44, 0)))']) ).

fof(i_0_27,plain,
    ! [X8,X9] :
      ( ~ greater(X8,X9)
      | ~ less(X8,X9) ),
    inference(fof_simplification,[status(thm)],['ass(cond(goal(130), 0), 2)']) ).

fof(i_0_28,plain,
    ! [X8,X9] :
      ( X8 != X9
      | ~ greater(X8,X9) ),
    inference(fof_simplification,[status(thm)],['ass(cond(goal(130), 0), 3)']) ).

fof(i_0_29,plain,
    ! [X8,X9] :
      ( X8 != X9
      | ~ less(X8,X9) ),
    inference(fof_simplification,[status(thm)],['ass(cond(goal(130), 0), 1)']) ).

fof(i_0_30,plain,
    ! [X147] : vplus(v1,X147) = vsucc(X147),
    inference(variable_rename,[status(thm)],['ass(cond(43, 0), 0)']) ).

fof(i_0_31,plain,
    ( ~ greater(vplus(vd328,vd330),vplus(vd329,vd330))
    | greater(vd328,vd329) ),
    inference(fof_nnf,[status(thm)],['ass(cond(conjunct1(204), 0), 0)']) ).

fof(i_0_32,plain,
    ! [X97,X98,X99] :
      ( ~ greater(X97,X98)
      | greater(vplus(X97,X99),vplus(X98,X99)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['ass(cond(goal(193), 0), 2)'])]) ).

fof(i_0_33,plain,
    ! [X91,X92,X93] :
      ( ~ less(X91,X92)
      | less(vplus(X91,X93),vplus(X92,X93)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['ass(cond(goal(193), 0), 0)'])]) ).

fof(i_0_34,plain,
    ! [X124,X125] :
      ( X124 = X125
      | X124 = vplus(X125,esk3_2(X124,X125))
      | X125 = vplus(X124,esk4_2(X124,X125)) ),
    inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],['ass(cond(goal(88), 0), 0)'])]) ).

fof(i_0_35,plain,
    ! [X148,X149,X150] : vplus(vplus(X148,X149),X150) = vplus(X148,vplus(X149,X150)),
    inference(variable_rename,[status(thm)],['ass(cond(33, 0), 0)']) ).

cnf(i_0_36,plain,
    vplus(vsucc(X1),X2) = vsucc(vplus(X1,X2)),
    inference(split_conjunct,[status(thm)],[i_0_25]) ).

cnf(i_0_37,plain,
    vplus(X1,v1) = vsucc(X1),
    inference(split_conjunct,[status(thm)],[i_0_26]) ).

cnf(i_0_38,plain,
    vplus(X1,vsucc(X2)) = vsucc(vplus(X1,X2)),
    inference(split_conjunct,[status(thm)],[i_0_26]) ).

fof(i_0_39,plain,
    ! [X118,X119,X121,X122,X123] :
      ( ( ~ greater(X119,X118)
        | X119 = vplus(X118,esk2_2(X118,X119)) )
      & ( X122 != vplus(X121,X123)
        | greater(X122,X121) ) ),
    inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],['def(cond(conseq(axiom(3)), 11), 1)'])])])])]) ).

fof(i_0_40,plain,
    ! [X112,X113,X115,X116,X117] :
      ( ( ~ less(X113,X112)
        | X112 = vplus(X113,esk1_2(X112,X113)) )
      & ( X115 != vplus(X116,X117)
        | less(X116,X115) ) ),
    inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],['def(cond(conseq(axiom(3)), 12), 1)'])])])])]) ).

fof(i_0_41,plain,
    ! [X131,X132,X133,X134] :
      ( X131 != vplus(X132,X133)
      | X132 != vplus(X131,X134) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['ass(cond(goal(88), 0), 2)'])])]) ).

fof(i_0_42,plain,
    ! [X138,X139,X140] :
      ( X138 = X139
      | vplus(X140,X138) != vplus(X140,X139) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['ass(cond(81, 0), 0)'])])]) ).

fof(i_0_43,plain,
    ! [X108,X109] :
      ( ~ greater(X108,X109)
      | ~ less(X108,X109) ),
    inference(variable_rename,[status(thm)],[i_0_27]) ).

fof(i_0_44,plain,
    ! [X100,X101] :
      ( ~ less(X100,X101)
      | greater(X101,X100) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['ass(cond(147, 0), 0)'])]) ).

fof(i_0_45,plain,
    ! [X102,X103] :
      ( ~ greater(X102,X103)
      | less(X103,X102) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['ass(cond(140, 0), 0)'])]) ).

fof(i_0_46,plain,
    ( vplus(vd328,vd330) != vplus(vd329,vd330)
    | vd328 = vd329 ),
    inference(fof_nnf,[status(thm)],['ass(cond(conjunct1(conjunct2(204)), 0), 0)']) ).

fof(i_0_47,plain,
    ! [X104,X105] :
      ( X104 = X105
      | greater(X104,X105)
      | less(X104,X105) ),
    inference(variable_rename,[status(thm)],['ass(cond(goal(130), 0), 0)']) ).

fof(i_0_48,plain,
    ! [X143,X144] : vplus(X144,X143) = vplus(X143,X144),
    inference(variable_rename,[status(thm)],['ass(cond(61, 0), 0)']) ).

fof(i_0_49,plain,
    ! [X135,X136,X137] :
      ( X135 != X136
      | X135 != vplus(X136,X137) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['ass(cond(goal(88), 0), 3)'])])]) ).

fof(i_0_50,plain,
    ! [X128,X129,X130] :
      ( X128 != X129
      | X129 != vplus(X128,X130) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['ass(cond(goal(88), 0), 1)'])])]) ).

fof(i_0_51,plain,
    ! [X110,X111] :
      ( X110 != X111
      | ~ greater(X110,X111) ),
    inference(variable_rename,[status(thm)],[i_0_28]) ).

fof(i_0_52,plain,
    ! [X106,X107] :
      ( X106 != X107
      | ~ less(X106,X107) ),
    inference(variable_rename,[status(thm)],[i_0_29]) ).

cnf(i_0_53,plain,
    vplus(v1,X1) = vsucc(X1),
    inference(split_conjunct,[status(thm)],[i_0_30]) ).

fof(i_0_54,plain,
    ! [X141,X142] : X142 != vplus(X141,X142),
    inference(variable_rename,[status(thm)],['ass(cond(73, 0), 0)']) ).

fof(i_0_55,negated_conjecture,
    ~ less(vd328,vd329),
    inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],['holds(conseq(conjunct2(conjunct2(204))), 336, 0)'])]) ).

cnf(i_0_56,plain,
    ( greater(vd328,vd329)
    | ~ greater(vplus(vd328,vd330),vplus(vd329,vd330)) ),
    inference(split_conjunct,[status(thm)],[i_0_31]),
    [final] ).

cnf(i_0_57,plain,
    ( greater(vplus(X1,X3),vplus(X2,X3))
    | ~ greater(X1,X2) ),
    inference(split_conjunct,[status(thm)],[i_0_32]),
    [final] ).

cnf(i_0_58,plain,
    ( less(vplus(X1,X3),vplus(X2,X3))
    | ~ less(X1,X2) ),
    inference(split_conjunct,[status(thm)],[i_0_33]),
    [final] ).

cnf(i_0_59,plain,
    ( X1 = X2
    | X1 = vplus(X2,esk3_2(X1,X2))
    | X2 = vplus(X1,esk4_2(X1,X2)) ),
    inference(split_conjunct,[status(thm)],[i_0_34]),
    [final] ).

cnf(i_0_60,plain,
    vplus(vplus(X1,X2),X3) = vplus(X1,vplus(X2,X3)),
    inference(split_conjunct,[status(thm)],[i_0_35]),
    [final] ).

cnf(i_0_61,plain,
    vplus(vplus(X1,v1),X2) = vplus(vplus(X1,X2),v1),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_36,c_0_37]),c_0_37]),
    [final] ).

cnf(i_0_62,plain,
    vplus(X1,vplus(X2,v1)) = vplus(vplus(X1,X2),v1),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_38,c_0_37]),c_0_37]),
    [final] ).

cnf(i_0_63,plain,
    ( X1 = vplus(X2,esk2_2(X2,X1))
    | ~ greater(X1,X2) ),
    inference(split_conjunct,[status(thm)],[i_0_39]),
    [final] ).

cnf(i_0_64,plain,
    ( X2 = vplus(X1,esk1_2(X2,X1))
    | ~ less(X1,X2) ),
    inference(split_conjunct,[status(thm)],[i_0_40]),
    [final] ).

cnf(i_0_65,plain,
    less(vplus(vd328,vd330),vplus(vd329,vd330)),
    inference(split_conjunct,[status(thm)],['holds(antec(conjunct2(conjunct2(204))), 335, 0)']),
    [final] ).

cnf(i_0_66,plain,
    ( X1 != vplus(X2,X3)
    | X2 != vplus(X1,X4) ),
    inference(split_conjunct,[status(thm)],[i_0_41]),
    [final] ).

cnf(i_0_67,plain,
    ( X1 = X2
    | vplus(X3,X1) != vplus(X3,X2) ),
    inference(split_conjunct,[status(thm)],[i_0_42]),
    [final] ).

cnf(i_0_68,plain,
    ( ~ greater(X1,X2)
    | ~ less(X1,X2) ),
    inference(split_conjunct,[status(thm)],[i_0_43]),
    [final] ).

cnf(i_0_69,plain,
    ( greater(X1,X2)
    | X1 != vplus(X2,X3) ),
    inference(split_conjunct,[status(thm)],[i_0_39]),
    [final] ).

cnf(i_0_70,plain,
    ( less(X2,X1)
    | X1 != vplus(X2,X3) ),
    inference(split_conjunct,[status(thm)],[i_0_40]),
    [final] ).

cnf(i_0_71,plain,
    ( greater(X2,X1)
    | ~ less(X1,X2) ),
    inference(split_conjunct,[status(thm)],[i_0_44]),
    [final] ).

cnf(i_0_72,plain,
    ( less(X2,X1)
    | ~ greater(X1,X2) ),
    inference(split_conjunct,[status(thm)],[i_0_45]),
    [final] ).

cnf(i_0_73,plain,
    ( vd328 = vd329
    | vplus(vd328,vd330) != vplus(vd329,vd330) ),
    inference(split_conjunct,[status(thm)],[i_0_46]),
    [final] ).

cnf(i_0_74,plain,
    ( X1 = X2
    | greater(X1,X2)
    | less(X1,X2) ),
    inference(split_conjunct,[status(thm)],[i_0_47]),
    [final] ).

cnf(i_0_75,plain,
    vplus(X1,X2) = vplus(X2,X1),
    inference(split_conjunct,[status(thm)],[i_0_48]),
    [final] ).

cnf(i_0_76,plain,
    ( X1 != X2
    | X1 != vplus(X2,X3) ),
    inference(split_conjunct,[status(thm)],[i_0_49]),
    [final] ).

cnf(i_0_77,plain,
    ( X1 != X2
    | X2 != vplus(X1,X3) ),
    inference(split_conjunct,[status(thm)],[i_0_50]),
    [final] ).

cnf(i_0_78,plain,
    ( X1 != X2
    | ~ greater(X1,X2) ),
    inference(split_conjunct,[status(thm)],[i_0_51]),
    [final] ).

cnf(i_0_79,plain,
    ( X1 != X2
    | ~ less(X1,X2) ),
    inference(split_conjunct,[status(thm)],[i_0_52]),
    [final] ).

cnf(i_0_80,plain,
    vplus(v1,X1) = vplus(X1,v1),
    inference(rw,[status(thm)],[i_0_53,c_0_37]),
    [final] ).

cnf(i_0_81,plain,
    X1 != vplus(X2,X1),
    inference(split_conjunct,[status(thm)],[i_0_54]),
    [final] ).

cnf(i_0_82,negated_conjecture,
    ~ less(vd328,vd329),
    inference(split_conjunct,[status(thm)],[i_0_55]),
    [final] ).

cnf(i_0_83,axiom,
    X1 = X1 ).

cnf(i_0_84,axiom,
    ( X1 = X2
    | X2 != X1 ) ).

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

cnf(i_0_86,axiom,
    ( X1 != X2
    | vplus(X1,X3) = vplus(X2,X3) ) ).

cnf(i_0_87,axiom,
    ( X1 != X2
    | vplus(X3,X1) = vplus(X3,X2) ) ).

cnf(i_0_88,axiom,
    ( X1 != X2
    | ~ greater(X1,X3)
    | greater(X2,X3) ) ).

cnf(i_0_89,axiom,
    ( X1 != X2
    | ~ greater(X3,X1)
    | greater(X3,X2) ) ).

cnf(i_0_90,axiom,
    ( X1 != X2
    | ~ less(X1,X3)
    | less(X2,X3) ) ).

cnf(i_0_91,axiom,
    ( X1 != X2
    | ~ less(X3,X1)
    | less(X3,X2) ) ).

cnf(i_0_83_001,axiom,
    X1 = X1 ).

cnf(i_0_84_002,axiom,
    ( X1 = X2
    | X2 != X1 ) ).

cnf(i_0_85_003,axiom,
    ( X1 = X2
    | X1 != X3
    | X3 != X2 ) ).

cnf(i_0_86_004,axiom,
    ( X1 != X2
    | vplus(X1,X3) = vplus(X2,X3) ) ).

cnf(i_0_87_005,axiom,
    ( X1 != X2
    | vplus(X3,X1) = vplus(X3,X2) ) ).

cnf(i_0_88_006,axiom,
    ( X1 != X2
    | ~ greater(X1,X3)
    | greater(X2,X3) ) ).

cnf(i_0_89_007,axiom,
    ( X1 != X2
    | ~ greater(X3,X1)
    | greater(X3,X2) ) ).

cnf(i_0_90_008,axiom,
    ( X1 != X2
    | ~ less(X1,X3)
    | less(X2,X3) ) ).

cnf(i_0_91_009,axiom,
    ( X1 != X2
    | ~ less(X3,X1)
    | less(X3,X2) ) ).

cnf(i_0_92,plain,
    X1 = X1,
    inference(equality_inference,[],[67]) ).

cnf(i_0_93,plain,
    greater(vplus(X1,X2),X1),
    inference(equality_inference,[],[69]) ).

cnf(i_0_94,plain,
    less(X1,vplus(X1,X2)),
    inference(equality_inference,[],[70]) ).

cnf(i_0_95,plain,
    ~ greater(X1,X1),
    inference(equality_inference,[],[78]) ).

cnf(i_0_96,plain,
    ~ less(X1,X1),
    inference(equality_inference,[],[79]) ).

cnf(i_0_97,plain,
    less(X1,vplus(X2,X1)),
    inference(scs_inference,[],[i_0_75,i_0_70]) ).

cnf(i_0_98,plain,
    ( X1 != vplus(X2,X3)
    | less(X2,X1) ),
    inference(rename_variables,[],[i_0_70]) ).

cnf(i_0_99,plain,
    X1 != vplus(vplus(X2,X1),X3),
    inference(scs_inference,[],[i_0_75,i_0_70,i_0_66]) ).

cnf(i_0_100,plain,
    ( X1 != vplus(X2,X3)
    | X2 != vplus(X1,X4) ),
    inference(rename_variables,[],[i_0_66]) ).

cnf(i_0_101,plain,
    ~ greater(X1,vplus(X1,X2)),
    inference(scs_inference,[],[i_0_94,i_0_75,i_0_70,i_0_66,i_0_68]) ).

cnf(i_0_102,plain,
    ( ~ less(X1,X2)
    | ~ greater(X1,X2) ),
    inference(rename_variables,[],[i_0_68]) ).

cnf(i_0_103,plain,
    greater(vplus(X1,X2),X2),
    inference(scs_inference,[],[i_0_94,i_0_75,i_0_70,i_0_66,i_0_68,i_0_69]) ).

cnf(i_0_104,plain,
    ( X1 != vplus(X2,X3)
    | greater(X1,X2) ),
    inference(rename_variables,[],[i_0_69]) ).

cnf(i_0_105,plain,
    greater(vplus(vd329,vd330),vplus(vd328,vd330)),
    inference(scs_inference,[],[i_0_94,i_0_75,i_0_65,i_0_70,i_0_66,i_0_68,i_0_69,i_0_71]) ).

cnf(i_0_106,plain,
    ( ~ less(X1,X2)
    | greater(X2,X1) ),
    inference(rename_variables,[],[i_0_71]) ).

cnf(i_0_107,plain,
    vplus(X1,X2) != X2,
    inference(scs_inference,[],[i_0_94,i_0_75,i_0_65,i_0_70,i_0_66,i_0_68,i_0_69,i_0_71,i_0_76]) ).

cnf(i_0_108,plain,
    ( X1 != vplus(X2,X3)
    | X1 != X2 ),
    inference(rename_variables,[],[i_0_76]) ).

cnf(i_0_109,plain,
    X1 != vplus(vplus(X1,X2),X3),
    inference(scs_inference,[],[i_0_94,i_0_75,i_0_65,i_0_60,i_0_70,i_0_66,i_0_68,i_0_69,i_0_71,i_0_76,i_0_77]) ).

cnf(i_0_110,plain,
    ( X1 != vplus(X2,X3)
    | X2 != X1 ),
    inference(rename_variables,[],[i_0_77]) ).

cnf(i_0_111,plain,
    vplus(X1,X2) != X1,
    inference(scs_inference,[],[i_0_94,i_0_93,i_0_75,i_0_65,i_0_60,i_0_70,i_0_66,i_0_68,i_0_69,i_0_71,i_0_76,i_0_77,i_0_78]) ).

cnf(i_0_112,plain,
    ( ~ greater(X1,X2)
    | X1 != X2 ),
    inference(rename_variables,[],[i_0_78]) ).

cnf(i_0_113,plain,
    X1 != vplus(X1,X2),
    inference(scs_inference,[],[i_0_94,i_0_93,i_0_75,i_0_65,i_0_60,i_0_70,i_0_66,i_0_68,i_0_69,i_0_71,i_0_76,i_0_77,i_0_78,i_0_79]) ).

cnf(i_0_114,plain,
    ( ~ less(X1,X2)
    | X1 != X2 ),
    inference(rename_variables,[],[i_0_79]) ).

cnf(i_0_115,plain,
    vplus(X1,vplus(X2,X3)) = vplus(vplus(X1,X2),X3),
    inference(scs_inference,[],[i_0_94,i_0_93,i_0_75,i_0_65,i_0_60,i_0_70,i_0_66,i_0_68,i_0_69,i_0_71,i_0_76,i_0_77,i_0_78,i_0_79,i_0_84]) ).

cnf(i_0_116,plain,
    X1 != vplus(X2,vplus(X1,X3)),
    inference(scs_inference,[],[i_0_94,i_0_93,i_0_75,i_0_65,i_0_60,i_0_70,i_0_66,i_0_68,i_0_69,i_0_71,i_0_76,i_0_77,i_0_78,i_0_79,i_0_84,i_0_86]) ).

cnf(i_0_117,plain,
    ~ less(vplus(X1,vplus(X2,X3)),vplus(vplus(X2,X3),X1)),
    inference(scs_inference,[],[i_0_94,i_0_96,i_0_93,i_0_75,i_0_65,i_0_60,i_0_70,i_0_66,i_0_68,i_0_69,i_0_71,i_0_76,i_0_77,i_0_78,i_0_79,i_0_84,i_0_86,i_0_90]) ).

cnf(i_0_118,plain,
    ~ less(X1,X1),
    inference(rename_variables,[],[i_0_96]) ).

cnf(i_0_119,plain,
    vplus(X1,X2) = vplus(X2,X1),
    inference(rename_variables,[],[i_0_75]) ).

cnf(i_0_120,plain,
    vplus(X1,X1) = vplus(X1,esk4_2(X1,vplus(X1,X1))),
    inference(scs_inference,[],[i_0_94,i_0_96,i_0_93,i_0_75,i_0_81,i_0_65,i_0_60,i_0_70,i_0_66,i_0_68,i_0_69,i_0_71,i_0_76,i_0_77,i_0_78,i_0_79,i_0_84,i_0_86,i_0_90,i_0_59]) ).

cnf(i_0_121,plain,
    X1 != vplus(X2,X1),
    inference(rename_variables,[],[i_0_81]) ).

cnf(i_0_122,plain,
    ( X1 = vplus(X2,esk3_2(X1,X2))
    | X2 = vplus(X1,esk4_2(X1,X2))
    | X1 = X2 ),
    inference(rename_variables,[],[i_0_59]) ).

cnf(i_0_123,plain,
    v1 != vplus(X1,vplus(X2,v1)),
    inference(scs_inference,[],[i_0_94,i_0_96,i_0_93,i_0_75,i_0_81,i_0_121,i_0_65,i_0_60,i_0_62,i_0_70,i_0_66,i_0_68,i_0_69,i_0_71,i_0_76,i_0_77,i_0_78,i_0_79,i_0_84,i_0_86,i_0_90,i_0_59,i_0_85]) ).

cnf(i_0_124,plain,
    X1 != vplus(X2,X1),
    inference(rename_variables,[],[i_0_81]) ).

cnf(i_0_125,plain,
    ~ greater(vplus(X1,X2),vplus(X2,X1)),
    inference(scs_inference,[],[i_0_94,i_0_95,i_0_96,i_0_93,i_0_75,i_0_119,i_0_81,i_0_121,i_0_65,i_0_60,i_0_62,i_0_70,i_0_66,i_0_68,i_0_69,i_0_71,i_0_76,i_0_77,i_0_78,i_0_79,i_0_84,i_0_86,i_0_90,i_0_59,i_0_85,i_0_88]) ).

cnf(i_0_126,plain,
    ~ greater(X1,X1),
    inference(rename_variables,[],[i_0_95]) ).

cnf(i_0_127,plain,
    ~ greater(X1,vplus(X2,X1)),
    inference(scs_inference,[],[i_0_94,i_0_95,i_0_96,i_0_93,i_0_75,i_0_119,i_0_81,i_0_121,i_0_65,i_0_60,i_0_62,i_0_70,i_0_66,i_0_68,i_0_69,i_0_71,i_0_76,i_0_77,i_0_78,i_0_79,i_0_84,i_0_86,i_0_90,i_0_59,i_0_85,i_0_88,i_0_89]) ).

cnf(i_0_128,plain,
    vplus(vd328,X1) != vd329,
    inference(scs_inference,[],[i_0_82,i_0_94,i_0_95,i_0_96,i_0_93,i_0_75,i_0_119,i_0_81,i_0_121,i_0_65,i_0_60,i_0_62,i_0_70,i_0_66,i_0_68,i_0_69,i_0_71,i_0_76,i_0_77,i_0_78,i_0_79,i_0_84,i_0_86,i_0_90,i_0_59,i_0_85,i_0_88,i_0_89,i_0_91]) ).

cnf(i_0_129,plain,
    less(X1,vplus(X1,X2)),
    inference(rename_variables,[],[i_0_94]) ).

cnf(i_0_130,plain,
    X1 = esk4_2(X1,vplus(X1,X1)),
    inference(scs_inference,[],[i_0_82,i_0_94,i_0_95,i_0_96,i_0_93,i_0_75,i_0_119,i_0_81,i_0_121,i_0_65,i_0_60,i_0_62,i_0_70,i_0_66,i_0_68,i_0_69,i_0_71,i_0_76,i_0_77,i_0_78,i_0_79,i_0_84,i_0_86,i_0_90,i_0_59,i_0_85,i_0_88,i_0_89,i_0_91,i_0_67]) ).

cnf(i_0_131,plain,
    ( vplus(X1,X2) != vplus(X1,X3)
    | X2 = X3 ),
    inference(rename_variables,[],[i_0_67]) ).

cnf(i_0_132,plain,
    ~ less(vplus(X1,X2),X2),
    inference(scs_inference,[],[i_0_99,i_0_64]) ).

cnf(i_0_133,plain,
    X1 != vplus(vplus(X2,X1),X3),
    inference(rename_variables,[],[i_0_99]) ).

cnf(i_0_134,plain,
    ( X1 = vplus(X2,esk1_2(X1,X2))
    | ~ less(X2,X1) ),
    inference(rename_variables,[],[i_0_64]) ).

cnf(i_0_135,plain,
    less(vplus(X1,X2),vplus(X1,vplus(X2,X3))),
    inference(scs_inference,[],[i_0_115,i_0_99,i_0_64,i_0_70]) ).

cnf(i_0_136,plain,
    ( X1 != vplus(X2,X3)
    | less(X2,X1) ),
    inference(rename_variables,[],[i_0_70]) ).

cnf(i_0_137,plain,
    vplus(X1,X2) != vplus(vplus(X1,vplus(X2,X3)),X4),
    inference(scs_inference,[],[i_0_115,i_0_99,i_0_64,i_0_70,i_0_66]) ).

cnf(i_0_138,plain,
    ( X1 != vplus(X2,X3)
    | X2 != vplus(X1,X4) ),
    inference(rename_variables,[],[i_0_66]) ).

cnf(i_0_139,plain,
    ~ greater(vplus(vd328,vd330),vplus(vd329,vd330)),
    inference(scs_inference,[],[i_0_115,i_0_99,i_0_65,i_0_64,i_0_70,i_0_66,i_0_68]) ).

cnf(i_0_140,plain,
    ( ~ less(X1,X2)
    | ~ greater(X1,X2) ),
    inference(rename_variables,[],[i_0_68]) ).

cnf(i_0_141,plain,
    greater(vplus(X1,vplus(X2,X3)),vplus(X1,X2)),
    inference(scs_inference,[],[i_0_115,i_0_99,i_0_65,i_0_64,i_0_70,i_0_66,i_0_68,i_0_69]) ).

cnf(i_0_142,plain,
    ( X1 != vplus(X2,X3)
    | greater(X1,X2) ),
    inference(rename_variables,[],[i_0_69]) ).

cnf(i_0_143,plain,
    vplus(X1,vplus(X2,X3)) != vplus(X1,X2),
    inference(scs_inference,[],[i_0_115,i_0_99,i_0_65,i_0_64,i_0_70,i_0_66,i_0_68,i_0_69,i_0_76]) ).

cnf(i_0_144,plain,
    ( X1 != vplus(X2,X3)
    | X1 != X2 ),
    inference(rename_variables,[],[i_0_76]) ).

cnf(i_0_145,plain,
    vplus(vd329,vd330) != vplus(vd328,vd330),
    inference(scs_inference,[],[i_0_115,i_0_99,i_0_105,i_0_65,i_0_64,i_0_70,i_0_66,i_0_68,i_0_69,i_0_76,i_0_78]) ).

cnf(i_0_146,plain,
    ( ~ greater(X1,X2)
    | X1 != X2 ),
    inference(rename_variables,[],[i_0_78]) ).

cnf(i_0_147,plain,
    vplus(vd328,vd330) != vplus(vd329,vd330),
    inference(scs_inference,[],[i_0_115,i_0_99,i_0_105,i_0_65,i_0_64,i_0_70,i_0_66,i_0_68,i_0_69,i_0_76,i_0_78,i_0_79]) ).

cnf(i_0_148,plain,
    ( ~ less(X1,X2)
    | X1 != X2 ),
    inference(rename_variables,[],[i_0_79]) ).

cnf(i_0_149,plain,
    vplus(X1,X2) != vplus(X1,vplus(X2,X3)),
    inference(scs_inference,[],[i_0_115,i_0_99,i_0_105,i_0_65,i_0_64,i_0_70,i_0_66,i_0_68,i_0_69,i_0_76,i_0_78,i_0_79,i_0_77]) ).

cnf(i_0_150,plain,
    ( X1 != vplus(X2,X3)
    | X2 != X1 ),
    inference(rename_variables,[],[i_0_77]) ).

cnf(i_0_151,plain,
    vd329 != vd328,
    inference(scs_inference,[],[i_0_115,i_0_99,i_0_105,i_0_65,i_0_64,i_0_70,i_0_66,i_0_68,i_0_69,i_0_76,i_0_78,i_0_79,i_0_77,i_0_86]) ).

cnf(i_0_152,plain,
    esk4_2(X1,vplus(X1,X1)) = X1,
    inference(scs_inference,[],[i_0_130,i_0_115,i_0_99,i_0_105,i_0_65,i_0_64,i_0_70,i_0_66,i_0_68,i_0_69,i_0_76,i_0_78,i_0_79,i_0_77,i_0_86,i_0_84]) ).

cnf(i_0_153,plain,
    vplus(X1,X2) = vplus(X1,esk4_2(X1,vplus(X1,X2))),
    inference(scs_inference,[],[i_0_113,i_0_130,i_0_115,i_0_99,i_0_109,i_0_105,i_0_65,i_0_64,i_0_70,i_0_66,i_0_68,i_0_69,i_0_76,i_0_78,i_0_79,i_0_77,i_0_86,i_0_84,i_0_59]) ).

cnf(i_0_154,plain,
    X1 != vplus(vplus(X1,X2),X3),
    inference(rename_variables,[],[i_0_109]) ).

cnf(i_0_155,plain,
    ( X1 = vplus(X2,esk3_2(X1,X2))
    | X2 = vplus(X1,esk4_2(X1,X2))
    | X1 = X2 ),
    inference(rename_variables,[],[i_0_59]) ).

cnf(i_0_156,plain,
    ~ less(esk4_2(vd328,vplus(vd328,vd328)),vd329),
    inference(scs_inference,[],[i_0_82,i_0_113,i_0_130,i_0_115,i_0_99,i_0_109,i_0_105,i_0_65,i_0_64,i_0_70,i_0_66,i_0_68,i_0_69,i_0_76,i_0_78,i_0_79,i_0_77,i_0_86,i_0_84,i_0_59,i_0_90]) ).

cnf(i_0_157,plain,
    ~ greater(vplus(X1,vplus(X2,X3)),vplus(X3,vplus(X1,X2))),
    inference(scs_inference,[],[i_0_82,i_0_125,i_0_113,i_0_130,i_0_115,i_0_99,i_0_109,i_0_105,i_0_65,i_0_64,i_0_70,i_0_66,i_0_68,i_0_69,i_0_76,i_0_78,i_0_79,i_0_77,i_0_86,i_0_84,i_0_59,i_0_90,i_0_88]) ).

cnf(i_0_158,plain,
    ~ greater(vplus(X1,X2),vplus(X2,X1)),
    inference(rename_variables,[],[i_0_125]) ).

cnf(i_0_159,plain,
    vplus(X1,vd328) != vd329,
    inference(scs_inference,[],[i_0_82,i_0_97,i_0_125,i_0_113,i_0_130,i_0_115,i_0_99,i_0_109,i_0_105,i_0_65,i_0_64,i_0_70,i_0_66,i_0_68,i_0_69,i_0_76,i_0_78,i_0_79,i_0_77,i_0_86,i_0_84,i_0_59,i_0_90,i_0_88,i_0_91]) ).

cnf(i_0_160,plain,
    less(X1,vplus(X2,X1)),
    inference(rename_variables,[],[i_0_97]) ).

cnf(i_0_161,plain,
    ~ greater(vplus(X1,vplus(X2,X3)),vplus(X2,vplus(X3,X1))),
    inference(scs_inference,[],[i_0_82,i_0_97,i_0_125,i_0_158,i_0_113,i_0_130,i_0_115,i_0_99,i_0_109,i_0_105,i_0_65,i_0_64,i_0_70,i_0_66,i_0_68,i_0_69,i_0_76,i_0_78,i_0_79,i_0_77,i_0_86,i_0_84,i_0_59,i_0_90,i_0_88,i_0_91,i_0_89]) ).

cnf(i_0_162,plain,
    ~ greater(vplus(X1,X2),vplus(X2,X1)),
    inference(rename_variables,[],[i_0_125]) ).

cnf(i_0_163,plain,
    vplus(X1,esk4_2(vd328,vplus(vd328,vd328))) != vd328,
    inference(scs_inference,[],[i_0_82,i_0_97,i_0_125,i_0_158,i_0_107,i_0_113,i_0_130,i_0_115,i_0_99,i_0_109,i_0_105,i_0_65,i_0_64,i_0_70,i_0_66,i_0_68,i_0_69,i_0_76,i_0_78,i_0_79,i_0_77,i_0_86,i_0_84,i_0_59,i_0_90,i_0_88,i_0_91,i_0_89,i_0_85]) ).

cnf(i_0_164,plain,
    X1 = esk4_2(X1,vplus(X1,X1)),
    inference(rename_variables,[],[i_0_130]) ).

cnf(i_0_165,plain,
    vplus(X1,X2) != X2,
    inference(rename_variables,[],[i_0_107]) ).

cnf(i_0_166,plain,
    ~ greater(vplus(X1,X2),vplus(X1,vplus(X2,X3))),
    inference(scs_inference,[],[i_0_82,i_0_97,i_0_125,i_0_158,i_0_107,i_0_113,i_0_130,i_0_115,i_0_99,i_0_109,i_0_105,i_0_65,i_0_64,i_0_70,i_0_66,i_0_68,i_0_69,i_0_76,i_0_78,i_0_79,i_0_77,i_0_86,i_0_84,i_0_59,i_0_90,i_0_88,i_0_91,i_0_89,i_0_85,i_0_63]) ).

cnf(i_0_167,plain,
    ( X1 = vplus(X2,esk2_2(X2,X1))
    | ~ greater(X1,X2) ),
    inference(rename_variables,[],[i_0_63]) ).

cnf(i_0_168,plain,
    ~ greater(vd328,vd329),
    inference(scs_inference,[],[i_0_82,i_0_97,i_0_125,i_0_158,i_0_107,i_0_113,i_0_130,i_0_115,i_0_99,i_0_109,i_0_105,i_0_65,i_0_64,i_0_70,i_0_66,i_0_68,i_0_69,i_0_76,i_0_78,i_0_79,i_0_77,i_0_86,i_0_84,i_0_59,i_0_90,i_0_88,i_0_91,i_0_89,i_0_85,i_0_63,i_0_57]) ).

cnf(i_0_169,plain,
    ( greater(vplus(X1,X2),vplus(X3,X2))
    | ~ greater(X1,X3) ),
    inference(rename_variables,[],[i_0_57]) ).

cnf(i_0_170,plain,
    X1 = esk4_2(X2,vplus(X2,X1)),
    inference(scs_inference,[],[i_0_82,i_0_97,i_0_125,i_0_158,i_0_107,i_0_113,i_0_130,i_0_115,i_0_99,i_0_109,i_0_105,i_0_65,i_0_64,i_0_70,i_0_66,i_0_68,i_0_69,i_0_76,i_0_78,i_0_79,i_0_77,i_0_86,i_0_84,i_0_59,i_0_90,i_0_88,i_0_91,i_0_89,i_0_85,i_0_63,i_0_57,i_0_67]) ).

cnf(i_0_171,plain,
    ( vplus(X1,X2) != vplus(X1,X3)
    | X2 = X3 ),
    inference(rename_variables,[],[i_0_67]) ).

cnf(i_0_172,plain,
    vd328 = vd329,
    inference(scs_inference,[],[i_0_82,i_0_97,i_0_125,i_0_158,i_0_107,i_0_113,i_0_130,i_0_115,i_0_99,i_0_109,i_0_105,i_0_65,i_0_64,i_0_70,i_0_66,i_0_68,i_0_69,i_0_76,i_0_78,i_0_79,i_0_77,i_0_86,i_0_84,i_0_59,i_0_90,i_0_88,i_0_91,i_0_89,i_0_85,i_0_63,i_0_57,i_0_67,i_0_74]) ).

cnf(i_0_173,plain,
    ( greater(X1,X2)
    | less(X1,X2)
    | X1 = X2 ),
    inference(rename_variables,[],[i_0_74]) ).

cnf(i_0_174,plain,
    ~ less(vplus(X1,X2),X1),
    inference(scs_inference,[],[i_0_109,i_0_64]) ).

cnf(i_0_175,plain,
    X1 != vplus(vplus(X1,X2),X3),
    inference(rename_variables,[],[i_0_109]) ).

cnf(i_0_176,plain,
    ( X1 = vplus(X2,esk1_2(X1,X2))
    | ~ less(X2,X1) ),
    inference(rename_variables,[],[i_0_64]) ).

cnf(i_0_177,plain,
    less(X1,esk4_2(vplus(X1,X2),vplus(vplus(X1,X2),vplus(X1,X2)))),
    inference(scs_inference,[],[i_0_152,i_0_109,i_0_64,i_0_70]) ).

cnf(i_0_178,plain,
    esk4_2(X1,vplus(X1,X1)) = X1,
    inference(rename_variables,[],[i_0_152]) ).

cnf(i_0_179,plain,
    ( X1 != vplus(X2,X3)
    | less(X2,X1) ),
    inference(rename_variables,[],[i_0_70]) ).

cnf(i_0_180,plain,
    vplus(X1,X2) != vplus(vplus(vplus(X1,v1),X2),X3),
    inference(scs_inference,[],[i_0_152,i_0_61,i_0_109,i_0_64,i_0_70,i_0_66]) ).

cnf(i_0_181,plain,
    ( X1 != vplus(X2,X3)
    | X2 != vplus(X1,X4) ),
    inference(rename_variables,[],[i_0_66]) ).

cnf(i_0_182,plain,
    greater(esk4_2(vplus(X1,X2),vplus(vplus(X1,X2),vplus(X1,X2))),X1),
    inference(scs_inference,[],[i_0_152,i_0_178,i_0_61,i_0_109,i_0_64,i_0_70,i_0_66,i_0_69]) ).

cnf(i_0_183,plain,
    esk4_2(X1,vplus(X1,X1)) = X1,
    inference(rename_variables,[],[i_0_152]) ).

cnf(i_0_184,plain,
    ( X1 != vplus(X2,X3)
    | greater(X1,X2) ),
    inference(rename_variables,[],[i_0_69]) ).

cnf(i_0_185,plain,
    esk4_2(vplus(X1,X2),vplus(vplus(X1,X2),vplus(X1,X2))) != X1,
    inference(scs_inference,[],[i_0_152,i_0_178,i_0_183,i_0_61,i_0_109,i_0_64,i_0_70,i_0_66,i_0_69,i_0_76]) ).

cnf(i_0_186,plain,
    esk4_2(X1,vplus(X1,X1)) = X1,
    inference(rename_variables,[],[i_0_152]) ).

cnf(i_0_187,plain,
    ( X1 != vplus(X2,X3)
    | X1 != X2 ),
    inference(rename_variables,[],[i_0_76]) ).

cnf(i_0_188,plain,
    X1 != esk4_2(vplus(X1,X2),vplus(vplus(X1,X2),vplus(X1,X2))),
    inference(scs_inference,[],[i_0_152,i_0_178,i_0_183,i_0_186,i_0_61,i_0_109,i_0_64,i_0_70,i_0_66,i_0_69,i_0_76,i_0_77]) ).

cnf(i_0_189,plain,
    esk4_2(X1,vplus(X1,X1)) = X1,
    inference(rename_variables,[],[i_0_152]) ).

cnf(i_0_190,plain,
    ( X1 != vplus(X2,X3)
    | X2 != X1 ),
    inference(rename_variables,[],[i_0_77]) ).

cnf(i_0_191,plain,
    ~ greater(X1,esk4_2(vplus(X1,X2),vplus(vplus(X1,X2),vplus(X1,X2)))),
    inference(scs_inference,[],[i_0_152,i_0_178,i_0_183,i_0_186,i_0_61,i_0_109,i_0_64,i_0_70,i_0_66,i_0_69,i_0_76,i_0_77,i_0_68]) ).

cnf(i_0_192,plain,
    ( ~ less(X1,X2)
    | ~ greater(X1,X2) ),
    inference(rename_variables,[],[i_0_68]) ).

cnf(i_0_193,plain,
    $false,
    inference(scs_inference,[],[i_0_172,i_0_152,i_0_178,i_0_183,i_0_186,i_0_151,i_0_61,i_0_109,i_0_64,i_0_70,i_0_66,i_0_69,i_0_76,i_0_77,i_0_68,i_0_84]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem    : NUM840+2 : TPTP v9.2.1. Released v4.1.0.
% 0.00/0.12  % Command    : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.15/0.33  % Computer : n004.cluster.edu
% 0.15/0.33  % Model    : x86_64 x86_64
% 0.15/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.33  % Memory   : 8042.1875MB
% 0.15/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.33  % CPULimit   : 300
% 0.15/0.33  % WCLimit    : 300
% 0.15/0.33  % DateTime   : Tue May  5 01:15:32 EDT 2026
% 0.15/0.33  % CPUTime    : 
% 0.15/0.34  % start to proof: theBenchmark
% 0.45/1.61  % Version  : CSE_E---1.7
% 0.45/1.61  % Problem  : theBenchmark.p
% 0.45/1.61  % SZS status Theorem for theBenchmark.p
% 0.45/1.61  % SZS output start CNFRefutation
% See solution above
% 0.66/1.90  % Total time : 1.273s
%------------------------------------------------------------------------------