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CSE_E---1.7.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : CSE_E---1.7
% Problem  : NUM837+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 : n016.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 04:58:40 PM UTC 2026

% Result   : Theorem 0.27s 1.61s
% Output   : CNFRefutation 0.27s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named c_0_30)

% Comments : 
%------------------------------------------------------------------------------
fof('qu(cond(conseq(axiom(3)), 3), and(holds(definiens(29), 45, 0), holds(definiens(29), 44, 0)))',axiom,
    ! [X32,X33] :
      ( vplus(X32,vsucc(X33)) = vsucc(vplus(X32,X33))
      & vplus(X32,v1) = vsucc(X32) ),
    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,
    ! [X14,X15] :
      ( ~ greater(X14,X15)
      | ~ less(X14,X15) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(goal(130), 0), 2)') ).

fof('ass(cond(goal(130), 0), 3)',axiom,
    ! [X14,X15] :
      ( X14 != X15
      | ~ greater(X14,X15) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(goal(130), 0), 3)') ).

fof('ass(cond(goal(130), 0), 1)',axiom,
    ! [X14,X15] :
      ( X14 != X15
      | ~ less(X14,X15) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(goal(130), 0), 1)') ).

fof('qe(171)',conjecture,
    ? [X1] : vd269 = vplus(vd268,X1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qe(171)') ).

fof('ass(cond(goal(88), 0), 0)',axiom,
    ! [X22,X23] :
      ( X22 = X23
      | ? [X24] : X22 = vplus(X23,X24)
      | ? [X25] : X23 = vplus(X22,X25) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(goal(88), 0), 0)') ).

fof('ass(cond(33, 0), 0)',axiom,
    ! [X29,X30,X31] : vplus(vplus(X29,X30),X31) = vplus(X29,vplus(X30,X31)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(33, 0), 0)') ).

fof('def(cond(conseq(axiom(3)), 11), 1)',axiom,
    ! [X19,X20] :
      ( greater(X20,X19)
    <=> ? [X21] : X20 = vplus(X19,X21) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','def(cond(conseq(axiom(3)), 11), 1)') ).

fof('def(cond(conseq(axiom(3)), 12), 1)',axiom,
    ! [X16,X17] :
      ( less(X17,X16)
    <=> ? [X18] : X16 = vplus(X17,X18) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','def(cond(conseq(axiom(3)), 12), 1)') ).

fof('ass(cond(goal(88), 0), 2)',axiom,
    ! [X22,X23] :
      ( ~ ? [X24] : X22 = vplus(X23,X24)
      | ~ ? [X25] : X23 = vplus(X22,X25) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(goal(88), 0), 2)') ).

fof('ass(cond(81, 0), 0)',axiom,
    ! [X26,X27] :
      ( X26 != X27
     => ! [X28] : vplus(X28,X26) != vplus(X28,X27) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(81, 0), 0)') ).

fof('def(cond(conseq(axiom(3)), 16), 1)',axiom,
    ! [X8,X9] :
      ( geq(X9,X8)
    <=> ( greater(X9,X8)
        | X9 = X8 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','def(cond(conseq(axiom(3)), 16), 1)') ).

fof('def(cond(conseq(axiom(3)), 17), 1)',axiom,
    ! [X6,X7] :
      ( leq(X7,X6)
    <=> ( less(X7,X6)
        | X7 = X6 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','def(cond(conseq(axiom(3)), 17), 1)') ).

fof('ass(cond(147, 0), 0)',axiom,
    ! [X10,X11] :
      ( less(X10,X11)
     => greater(X11,X10) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(147, 0), 0)') ).

fof('ass(cond(163, 0), 0)',axiom,
    ! [X2,X3] :
      ( leq(X2,X3)
     => geq(X3,X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(163, 0), 0)') ).

fof('ass(cond(158, 0), 0)',axiom,
    ! [X4,X5] :
      ( geq(X4,X5)
     => leq(X5,X4) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(158, 0), 0)') ).

fof('ass(cond(140, 0), 0)',axiom,
    ! [X12,X13] :
      ( greater(X12,X13)
     => less(X13,X12) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(140, 0), 0)') ).

fof('ass(cond(goal(130), 0), 0)',axiom,
    ! [X14,X15] :
      ( X14 = X15
      | greater(X14,X15)
      | less(X14,X15) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(goal(130), 0), 0)') ).

fof('ass(cond(goal(88), 0), 3)',axiom,
    ! [X22,X23] :
      ( X22 != X23
      | ~ ? [X24] : X22 = vplus(X23,X24) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(goal(88), 0), 3)') ).

fof('ass(cond(goal(88), 0), 1)',axiom,
    ! [X22,X23] :
      ( X22 != X23
      | ~ ? [X25] : X23 = vplus(X22,X25) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(goal(88), 0), 1)') ).

fof('holds(conjunct1(170), 270, 0)',axiom,
    less(vd268,vd269),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','holds(conjunct1(170), 270, 0)') ).

fof('(conjunct2(170),272,0)',axiom,
    less(vd269,vd271),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','(conjunct2(170),272,0)') ).

fof(i_0_22,plain,
    ! [X136,X137] :
      ( vplus(X136,vsucc(X137)) = vsucc(vplus(X136,X137))
      & vplus(X136,v1) = vsucc(X136) ),
    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_23,plain,
    ! [X14,X15] :
      ( ~ greater(X14,X15)
      | ~ less(X14,X15) ),
    inference(fof_simplification,[status(thm)],['ass(cond(goal(130), 0), 2)']) ).

fof(i_0_24,plain,
    ! [X14,X15] :
      ( X14 != X15
      | ~ greater(X14,X15) ),
    inference(fof_simplification,[status(thm)],['ass(cond(goal(130), 0), 3)']) ).

fof(i_0_25,plain,
    ! [X14,X15] :
      ( X14 != X15
      | ~ less(X14,X15) ),
    inference(fof_simplification,[status(thm)],['ass(cond(goal(130), 0), 1)']) ).

fof(i_0_26,negated_conjecture,
    ~ ? [X1] : vd269 = vplus(vd268,X1),
    inference(assume_negation,[status(cth)],['qe(171)']) ).

fof(i_0_27,plain,
    ! [X116,X117] :
      ( X116 = X117
      | X116 = vplus(X117,esk3_2(X116,X117))
      | X117 = vplus(X116,esk4_2(X116,X117)) ),
    inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],['ass(cond(goal(88), 0), 0)'])]) ).

fof(i_0_28,plain,
    ! [X133,X134,X135] : vplus(vplus(X133,X134),X135) = vplus(X133,vplus(X134,X135)),
    inference(variable_rename,[status(thm)],['ass(cond(33, 0), 0)']) ).

cnf(i_0_29,plain,
    vplus(X1,vsucc(X2)) = vsucc(vplus(X1,X2)),
    inference(split_conjunct,[status(thm)],[i_0_22]) ).

cnf(i_0_30,plain,
    vplus(X1,v1) = vsucc(X1),
    inference(split_conjunct,[status(thm)],[i_0_22]) ).

fof(i_0_31,plain,
    ! [X110,X111,X113,X114,X115] :
      ( ( ~ greater(X111,X110)
        | X111 = vplus(X110,esk2_2(X110,X111)) )
      & ( X114 != vplus(X113,X115)
        | greater(X114,X113) ) ),
    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_32,plain,
    ! [X104,X105,X107,X108,X109] :
      ( ( ~ less(X105,X104)
        | X104 = vplus(X105,esk1_2(X104,X105)) )
      & ( X107 != vplus(X108,X109)
        | less(X108,X107) ) ),
    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_33,plain,
    ! [X123,X124,X125,X126] :
      ( X123 != vplus(X124,X125)
      | X124 != vplus(X123,X126) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['ass(cond(goal(88), 0), 2)'])])]) ).

fof(i_0_34,plain,
    ! [X130,X131,X132] :
      ( X130 = X131
      | vplus(X132,X130) != vplus(X132,X131) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['ass(cond(81, 0), 0)'])])]) ).

fof(i_0_35,plain,
    ! [X100,X101] :
      ( ~ greater(X100,X101)
      | ~ less(X100,X101) ),
    inference(variable_rename,[status(thm)],[i_0_23]) ).

fof(i_0_36,plain,
    ! [X90,X91] :
      ( ( ~ geq(X91,X90)
        | greater(X91,X90)
        | X91 = X90 )
      & ( ~ greater(X91,X90)
        | geq(X91,X90) )
      & ( X91 != X90
        | geq(X91,X90) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['def(cond(conseq(axiom(3)), 16), 1)'])])]) ).

fof(i_0_37,plain,
    ! [X88,X89] :
      ( ( ~ leq(X89,X88)
        | less(X89,X88)
        | X89 = X88 )
      & ( ~ less(X89,X88)
        | leq(X89,X88) )
      & ( X89 != X88
        | leq(X89,X88) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['def(cond(conseq(axiom(3)), 17), 1)'])])]) ).

fof(i_0_38,plain,
    ! [X92,X93] :
      ( ~ less(X92,X93)
      | greater(X93,X92) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['ass(cond(147, 0), 0)'])]) ).

fof(i_0_39,plain,
    ! [X84,X85] :
      ( ~ leq(X84,X85)
      | geq(X85,X84) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['ass(cond(163, 0), 0)'])]) ).

fof(i_0_40,plain,
    ! [X86,X87] :
      ( ~ geq(X86,X87)
      | leq(X87,X86) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['ass(cond(158, 0), 0)'])]) ).

fof(i_0_41,plain,
    ! [X94,X95] :
      ( ~ greater(X94,X95)
      | less(X95,X94) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['ass(cond(140, 0), 0)'])]) ).

fof(i_0_42,plain,
    ! [X96,X97] :
      ( X96 = X97
      | greater(X96,X97)
      | less(X96,X97) ),
    inference(variable_rename,[status(thm)],['ass(cond(goal(130), 0), 0)']) ).

fof(i_0_43,plain,
    ! [X127,X128,X129] :
      ( X127 != X128
      | X127 != vplus(X128,X129) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['ass(cond(goal(88), 0), 3)'])])]) ).

fof(i_0_44,plain,
    ! [X120,X121,X122] :
      ( X120 != X121
      | X121 != vplus(X120,X122) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['ass(cond(goal(88), 0), 1)'])])]) ).

fof(i_0_45,plain,
    ! [X102,X103] :
      ( X102 != X103
      | ~ greater(X102,X103) ),
    inference(variable_rename,[status(thm)],[i_0_24]) ).

fof(i_0_46,plain,
    ! [X98,X99] :
      ( X98 != X99
      | ~ less(X98,X99) ),
    inference(variable_rename,[status(thm)],[i_0_25]) ).

fof(i_0_47,negated_conjecture,
    ! [X83] : vd269 != vplus(vd268,X83),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_26])]) ).

cnf(i_0_48,plain,
    ( X1 = X2
    | X1 = vplus(X2,esk3_2(X1,X2))
    | X2 = vplus(X1,esk4_2(X1,X2)) ),
    inference(split_conjunct,[status(thm)],[i_0_27]),
    [final] ).

cnf(i_0_49,plain,
    vplus(vplus(X1,X2),X3) = vplus(X1,vplus(X2,X3)),
    inference(split_conjunct,[status(thm)],[i_0_28]),
    [final] ).

cnf(i_0_50,plain,
    vplus(X1,vplus(X2,v1)) = vplus(vplus(X1,X2),v1),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_29,c_0_30]),c_0_30]),
    [final] ).

cnf(i_0_51,plain,
    ( X1 = vplus(X2,esk2_2(X2,X1))
    | ~ greater(X1,X2) ),
    inference(split_conjunct,[status(thm)],[i_0_31]),
    [final] ).

cnf(i_0_52,plain,
    ( X2 = vplus(X1,esk1_2(X2,X1))
    | ~ less(X1,X2) ),
    inference(split_conjunct,[status(thm)],[i_0_32]),
    [final] ).

cnf(i_0_53,plain,
    ( X1 != vplus(X2,X3)
    | X2 != vplus(X1,X4) ),
    inference(split_conjunct,[status(thm)],[i_0_33]),
    [final] ).

cnf(i_0_54,plain,
    ( X1 = X2
    | vplus(X3,X1) != vplus(X3,X2) ),
    inference(split_conjunct,[status(thm)],[i_0_34]),
    [final] ).

cnf(i_0_55,plain,
    ( ~ greater(X1,X2)
    | ~ less(X1,X2) ),
    inference(split_conjunct,[status(thm)],[i_0_35]),
    [final] ).

cnf(i_0_56,plain,
    ( greater(X1,X2)
    | X1 = X2
    | ~ geq(X1,X2) ),
    inference(split_conjunct,[status(thm)],[i_0_36]),
    [final] ).

cnf(i_0_57,plain,
    ( less(X1,X2)
    | X1 = X2
    | ~ leq(X1,X2) ),
    inference(split_conjunct,[status(thm)],[i_0_37]),
    [final] ).

cnf(i_0_58,plain,
    ( greater(X1,X2)
    | X1 != vplus(X2,X3) ),
    inference(split_conjunct,[status(thm)],[i_0_31]),
    [final] ).

cnf(i_0_59,plain,
    ( less(X2,X1)
    | X1 != vplus(X2,X3) ),
    inference(split_conjunct,[status(thm)],[i_0_32]),
    [final] ).

cnf(i_0_60,plain,
    ( greater(X2,X1)
    | ~ less(X1,X2) ),
    inference(split_conjunct,[status(thm)],[i_0_38]),
    [final] ).

cnf(i_0_61,plain,
    ( geq(X1,X2)
    | ~ greater(X1,X2) ),
    inference(split_conjunct,[status(thm)],[i_0_36]),
    [final] ).

cnf(i_0_62,plain,
    ( geq(X2,X1)
    | ~ leq(X1,X2) ),
    inference(split_conjunct,[status(thm)],[i_0_39]),
    [final] ).

cnf(i_0_63,plain,
    ( leq(X1,X2)
    | ~ less(X1,X2) ),
    inference(split_conjunct,[status(thm)],[i_0_37]),
    [final] ).

cnf(i_0_64,plain,
    ( leq(X2,X1)
    | ~ geq(X1,X2) ),
    inference(split_conjunct,[status(thm)],[i_0_40]),
    [final] ).

cnf(i_0_65,plain,
    ( less(X2,X1)
    | ~ greater(X1,X2) ),
    inference(split_conjunct,[status(thm)],[i_0_41]),
    [final] ).

cnf(i_0_66,plain,
    ( X1 = X2
    | greater(X1,X2)
    | less(X1,X2) ),
    inference(split_conjunct,[status(thm)],[i_0_42]),
    [final] ).

cnf(i_0_67,plain,
    ( X1 != X2
    | X1 != vplus(X2,X3) ),
    inference(split_conjunct,[status(thm)],[i_0_43]),
    [final] ).

cnf(i_0_68,plain,
    ( X1 != X2
    | X2 != vplus(X1,X3) ),
    inference(split_conjunct,[status(thm)],[i_0_44]),
    [final] ).

cnf(i_0_69,plain,
    ( X1 != X2
    | ~ greater(X1,X2) ),
    inference(split_conjunct,[status(thm)],[i_0_45]),
    [final] ).

cnf(i_0_70,plain,
    ( X1 != X2
    | ~ less(X1,X2) ),
    inference(split_conjunct,[status(thm)],[i_0_46]),
    [final] ).

cnf(i_0_71,negated_conjecture,
    vd269 != vplus(vd268,X1),
    inference(split_conjunct,[status(thm)],[i_0_47]),
    [final] ).

cnf(i_0_72,plain,
    ( geq(X1,X2)
    | X1 != X2 ),
    inference(split_conjunct,[status(thm)],[i_0_36]),
    [final] ).

cnf(i_0_73,plain,
    ( leq(X1,X2)
    | X1 != X2 ),
    inference(split_conjunct,[status(thm)],[i_0_37]),
    [final] ).

cnf(i_0_74,plain,
    less(vd268,vd269),
    inference(split_conjunct,[status(thm)],['holds(conjunct1(170), 270, 0)']),
    [final] ).

cnf(i_0_75,plain,
    less(vd269,vd271),
    inference(split_conjunct,[status(thm)],['(conjunct2(170),272,0)']),
    [final] ).

cnf(i_0_76,axiom,
    X1 = X1 ).

cnf(i_0_77,axiom,
    ( X1 = X2
    | X2 != X1 ) ).

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

cnf(i_0_79,axiom,
    ( X1 != X2
    | vplus(X1,X3) = vplus(X2,X3) ) ).

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

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

cnf(i_0_82,axiom,
    ( X1 != X2
    | ~ greater(X3,X1)
    | greater(X3,X2) ) ).

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

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

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

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

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

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

cnf(i_0_76_001,axiom,
    X1 = X1 ).

cnf(i_0_77_002,axiom,
    ( X1 = X2
    | X2 != X1 ) ).

cnf(i_0_78_003,axiom,
    ( X1 = X2
    | X1 != X3
    | X3 != X2 ) ).

cnf(i_0_79_004,axiom,
    ( X1 != X2
    | vplus(X1,X3) = vplus(X2,X3) ) ).

cnf(i_0_80_005,axiom,
    ( X1 != X2
    | vplus(X3,X1) = vplus(X3,X2) ) ).

cnf(i_0_81_006,axiom,
    ( X1 != X2
    | ~ greater(X1,X3)
    | greater(X2,X3) ) ).

cnf(i_0_82_007,axiom,
    ( X1 != X2
    | ~ greater(X3,X1)
    | greater(X3,X2) ) ).

cnf(i_0_83_008,axiom,
    ( X1 != X2
    | ~ less(X1,X3)
    | less(X2,X3) ) ).

cnf(i_0_84_009,axiom,
    ( X1 != X2
    | ~ less(X3,X1)
    | less(X3,X2) ) ).

cnf(i_0_85_010,axiom,
    ( X1 != X2
    | ~ geq(X1,X3)
    | geq(X2,X3) ) ).

cnf(i_0_86_011,axiom,
    ( X1 != X2
    | ~ geq(X3,X1)
    | geq(X3,X2) ) ).

cnf(i_0_87_012,axiom,
    ( X1 != X2
    | ~ leq(X1,X3)
    | leq(X2,X3) ) ).

cnf(i_0_88_013,axiom,
    ( X1 != X2
    | ~ leq(X3,X1)
    | leq(X3,X2) ) ).

cnf(i_0_89,plain,
    X1 = X1,
    inference(equality_inference,[],[54]) ).

cnf(i_0_90,plain,
    greater(vplus(X1,X2),X1),
    inference(equality_inference,[],[58]) ).

cnf(i_0_91,plain,
    less(X1,vplus(X1,X2)),
    inference(equality_inference,[],[59]) ).

cnf(i_0_92,plain,
    ~ greater(X1,X1),
    inference(equality_inference,[],[69]) ).

cnf(i_0_93,plain,
    ~ less(X1,X1),
    inference(equality_inference,[],[70]) ).

cnf(i_0_94,plain,
    geq(X1,X1),
    inference(equality_inference,[],[72]) ).

cnf(i_0_95,plain,
    leq(X1,X1),
    inference(equality_inference,[],[73]) ).

cnf(i_0_96,plain,
    $false,
    inference(scs_inference,[],[i_0_71,i_0_74,i_0_52]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem    : NUM837+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
% 0.14/0.33  % Computer : n016.cluster.edu
% 0.14/0.33  % Model    : x86_64 x86_64
% 0.14/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.33  % Memory   : 8042.1875MB
% 0.14/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.33  % CPULimit   : 300
% 0.14/0.33  % WCLimit    : 300
% 0.14/0.33  % DateTime   : Tue May  5 01:15:36 EDT 2026
% 0.14/0.33  % CPUTime    : 
% 0.14/0.34  % start to proof: theBenchmark
% 0.27/1.61  % Version  : CSE_E---1.7
% 0.27/1.61  % Problem  : theBenchmark.p
% 0.27/1.61  % SZS status Theorem for theBenchmark.p
% 0.27/1.61  % SZS output start CNFRefutation
% See solution above
% 0.27/1.63  % Total time : 1.271s
%------------------------------------------------------------------------------