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CSE_E---1.7.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : CSE_E---1.7
% Problem  : NUM850+1 : 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 04:58:43 PM UTC 2026

% Result   : Theorem 0.30s 1.61s
% Output   : CNFRefutation 0.30s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named c_0_77)

% Comments : 
%------------------------------------------------------------------------------
fof('ass(cond(261, 0), 0)',axiom,
    ! [X10,X11] : vmul(vsucc(X10),X11) = vplus(vmul(X10,X11),X11),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(261, 0), 0)') ).

fof('qu(cond(conseq(axiom(3)), 3), and(holds(definiens(29), 45, 0), holds(definiens(29), 44, 0)))',axiom,
    ! [X86,X87] :
      ( vplus(X86,vsucc(X87)) = vsucc(vplus(X86,X87))
      & vplus(X86,v1) = vsucc(X86) ),
    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('qu(cond(conseq(axiom(3)), 32), and(holds(definiens(249), 399, 0), holds(definiens(249), 398, 0)))',axiom,
    ! [X13,X14] :
      ( vmul(X13,vsucc(X14)) = vplus(vmul(X13,X14),X13)
      & vmul(X13,v1) = X13 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(conseq(axiom(3)), 32), and(holds(definiens(249), 399, 0), holds(definiens(249), 398, 0)))') ).

fof('ass(cond(52, 0), 0)',axiom,
    ! [X80,X81] : vplus(vsucc(X80),X81) = vsucc(vplus(X80,X81)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(52, 0), 0)') ).

fof('ass(cond(goal(130), 0), 2)',axiom,
    ! [X61,X62] :
      ( ~ greater(X61,X62)
      | ~ less(X61,X62) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(goal(130), 0), 2)') ).

fof('qu(antec(axiom(3)), imp(antec(axiom(3))))',axiom,
    ! [X92,X93] :
      ( vsucc(X92) = vsucc(X93)
     => X92 = X93 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(antec(axiom(3)), imp(antec(axiom(3))))') ).

fof('ass(cond(6, 0), 0)',axiom,
    ! [X90,X91] :
      ( X90 != X91
     => vsucc(X90) != vsucc(X91) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(6, 0), 0)') ).

fof('ass(cond(goal(130), 0), 1)',axiom,
    ! [X61,X62] :
      ( X61 != X62
      | ~ less(X61,X62) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(goal(130), 0), 1)') ).

fof('ass(cond(goal(130), 0), 3)',axiom,
    ! [X61,X62] :
      ( X61 != X62
      | ~ greater(X61,X62) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(goal(130), 0), 3)') ).

fof('ass(cond(43, 0), 0)',axiom,
    ! [X82] : vplus(v1,X82) = vsucc(X82),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(43, 0), 0)') ).

fof('ass(cond(12, 0), 0)',axiom,
    ! [X89] : vsucc(X89) != X89,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(12, 0), 0)') ).

fof('ass(cond(20, 0), 0)',axiom,
    ! [X88] :
      ( X88 != v1
     => X88 = vsucc(vskolem2(X88)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(20, 0), 0)') ).

fof('qu(restrictor(axiom(1)), holds(scope(axiom(1)), 2, 0))',axiom,
    ! [X94] : vsucc(X94) != v1,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(restrictor(axiom(1)), holds(scope(axiom(1)), 2, 0))') ).

fof('qe(conseq_conjunct1(conseq(302)))',conjecture,
    ? [X1] : vd470 = vplus(vd471,X1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qe(conseq_conjunct1(conseq(302)))') ).

fof('ass(cond(goal(202), 0), 0)',axiom,
    ! [X32,X33,X34] :
      ( less(vplus(X32,X34),vplus(X33,X34))
     => less(X32,X33) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(goal(202), 0), 0)') ).

fof('ass(cond(goal(202), 0), 2)',axiom,
    ! [X32,X33,X34] :
      ( greater(vplus(X32,X34),vplus(X33,X34))
     => greater(X32,X33) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(goal(202), 0), 2)') ).

fof('ass(cond(223, 0), 0)',axiom,
    ! [X20,X21,X22,X23] :
      ( ( geq(X22,X23)
        & geq(X20,X21) )
     => geq(vplus(X20,X22),vplus(X21,X23)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(223, 0), 0)') ).

fof('ass(cond(goal(216), 0), 0)',axiom,
    ! [X24,X25,X26,X27] :
      ( ( ( greater(X26,X27)
          & geq(X24,X25) )
        | ( geq(X26,X27)
          & greater(X24,X25) ) )
     => greater(vplus(X24,X26),vplus(X25,X27)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(goal(216), 0), 0)') ).

fof('ass(cond(209, 0), 0)',axiom,
    ! [X28,X29,X30,X31] :
      ( ( greater(X30,X31)
        & greater(X28,X29) )
     => greater(vplus(X28,X30),vplus(X29,X31)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(209, 0), 0)') ).

fof('ass(cond(281, 0), 0)',axiom,
    ! [X5,X6,X7] : vmul(X5,vplus(X6,X7)) = vplus(vmul(X5,X6),vmul(X5,X7)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(281, 0), 0)') ).

fof('ass(cond(goal(193), 0), 0)',axiom,
    ! [X35,X36,X37] :
      ( less(X35,X36)
     => less(vplus(X35,X37),vplus(X36,X37)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(goal(193), 0), 0)') ).

fof('ass(cond(goal(193), 0), 2)',axiom,
    ! [X35,X36,X37] :
      ( greater(X35,X36)
     => greater(vplus(X35,X37),vplus(X36,X37)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(goal(193), 0), 2)') ).

fof('ass(cond(goal(88), 0), 0)',axiom,
    ! [X69,X70] :
      ( X69 = X70
      | ? [X71] : X69 = vplus(X70,X71)
      | ? [X72] : X70 = vplus(X69,X72) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(goal(88), 0), 0)') ).

fof('ass(cond(290, 0), 0)',axiom,
    ! [X2,X3,X4] : vmul(vmul(X2,X3),X4) = vmul(X2,vmul(X3,X4)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(290, 0), 0)') ).

fof('ass(cond(33, 0), 0)',axiom,
    ! [X83,X84,X85] : vplus(vplus(X83,X84),X85) = vplus(X83,vplus(X84,X85)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(33, 0), 0)') ).

fof('ass(cond(241, 0), 0)',axiom,
    ! [X15,X16] :
      ( less(X15,vplus(X16,v1))
     => leq(X15,X16) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(241, 0), 0)') ).

fof('def(cond(conseq(axiom(3)), 11), 1)',axiom,
    ! [X66,X67] :
      ( greater(X67,X66)
    <=> ? [X68] : X67 = vplus(X66,X68) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','def(cond(conseq(axiom(3)), 11), 1)') ).

fof('def(cond(conseq(axiom(3)), 12), 1)',axiom,
    ! [X63,X64] :
      ( less(X64,X63)
    <=> ? [X65] : X63 = vplus(X64,X65) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','def(cond(conseq(axiom(3)), 12), 1)') ).

fof('ass(cond(234, 0), 0)',axiom,
    ! [X17,X18] :
      ( greater(X17,X18)
     => geq(X17,vplus(X18,v1)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(234, 0), 0)') ).

fof('ass(cond(184, 0), 0)',axiom,
    ! [X40,X41,X42] :
      ( ( leq(X41,X42)
        & leq(X40,X41) )
     => leq(X40,X42) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(184, 0), 0)') ).

fof('ass(cond(goal(177), 0), 0)',axiom,
    ! [X43,X44,X45] :
      ( ( ( less(X44,X45)
          & leq(X43,X44) )
        | ( leq(X44,X45)
          & less(X43,X44) ) )
     => less(X43,X45) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(goal(177), 0), 0)') ).

fof('ass(cond(168, 0), 0)',axiom,
    ! [X46,X47,X48] :
      ( ( less(X47,X48)
        & less(X46,X47) )
     => less(X46,X48) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(168, 0), 0)') ).

fof('ass(cond(goal(88), 0), 2)',axiom,
    ! [X69,X70] :
      ( ~ ? [X71] : X69 = vplus(X70,X71)
      | ~ ? [X72] : X70 = vplus(X69,X72) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(goal(88), 0), 2)') ).

fof('ass(cond(81, 0), 0)',axiom,
    ! [X73,X74] :
      ( X73 != X74
     => ! [X75] : vplus(X75,X73) != vplus(X75,X74) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(81, 0), 0)') ).

fof('ass(cond(goal(202), 0), 1)',axiom,
    ! [X32,X33,X34] :
      ( vplus(X32,X34) = vplus(X33,X34)
     => X32 = X33 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(goal(202), 0), 1)') ).

fof('ass(cond(189, 0), 0)',axiom,
    ! [X38,X39] : greater(vplus(X38,X39),X38),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(189, 0), 0)') ).

fof('def(cond(conseq(axiom(3)), 17), 1)',axiom,
    ! [X53,X54] :
      ( leq(X54,X53)
    <=> ( less(X54,X53)
        | X54 = X53 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','def(cond(conseq(axiom(3)), 17), 1)') ).

fof('def(cond(conseq(axiom(3)), 16), 1)',axiom,
    ! [X55,X56] :
      ( geq(X56,X55)
    <=> ( greater(X56,X55)
        | X56 = X55 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','def(cond(conseq(axiom(3)), 16), 1)') ).

fof('ass(cond(163, 0), 0)',axiom,
    ! [X49,X50] :
      ( leq(X49,X50)
     => geq(X50,X49) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(163, 0), 0)') ).

fof('ass(cond(158, 0), 0)',axiom,
    ! [X51,X52] :
      ( geq(X51,X52)
     => leq(X52,X51) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(158, 0), 0)') ).

fof('ass(cond(140, 0), 0)',axiom,
    ! [X59,X60] :
      ( greater(X59,X60)
     => less(X60,X59) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(140, 0), 0)') ).

fof('ass(cond(147, 0), 0)',axiom,
    ! [X57,X58] :
      ( less(X57,X58)
     => greater(X58,X57) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(147, 0), 0)') ).

fof('ass(cond(goal(130), 0), 0)',axiom,
    ! [X61,X62] :
      ( X61 = X62
      | greater(X61,X62)
      | less(X61,X62) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(goal(130), 0), 0)') ).

fof('ass(cond(270, 0), 0)',axiom,
    ! [X8,X9] : vmul(X8,X9) = vmul(X9,X8),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(270, 0), 0)') ).

fof('ass(cond(61, 0), 0)',axiom,
    ! [X78,X79] : vplus(X79,X78) = vplus(X78,X79),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(61, 0), 0)') ).

fof('ass(cond(goal(88), 0), 3)',axiom,
    ! [X69,X70] :
      ( X69 != X70
      | ~ ? [X71] : X69 = vplus(X70,X71) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(goal(88), 0), 3)') ).

fof('ass(cond(goal(88), 0), 1)',axiom,
    ! [X69,X70] :
      ( X69 != X70
      | ~ ? [X72] : X70 = vplus(X69,X72) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(goal(88), 0), 1)') ).

fof('ass(cond(73, 0), 0)',axiom,
    ! [X76,X77] : X77 != vplus(X76,X77),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(73, 0), 0)') ).

fof('ass(cond(253, 0), 0)',axiom,
    ! [X12] : vmul(v1,X12) = X12,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(253, 0), 0)') ).

fof('ass(cond(228, 0), 0)',axiom,
    ! [X19] : geq(X19,v1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(228, 0), 0)') ).

fof('holds(antec(302), 472, 0)',axiom,
    greater(vd470,vd471),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','holds(antec(302), 472, 0)') ).

fof(i_0_51,plain,
    ! [X226,X227] : vmul(vsucc(X226),X227) = vplus(vmul(X226,X227),X227),
    inference(variable_rename,[status(thm)],['ass(cond(261, 0), 0)']) ).

fof(i_0_52,plain,
    ! [X336,X337] :
      ( vplus(X336,vsucc(X337)) = vsucc(vplus(X336,X337))
      & vplus(X336,v1) = vsucc(X336) ),
    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_53,plain,
    ! [X229,X230] :
      ( vmul(X229,vsucc(X230)) = vplus(vmul(X229,X230),X229)
      & vmul(X229,v1) = X229 ),
    inference(variable_rename,[status(thm)],['qu(cond(conseq(axiom(3)), 32), and(holds(definiens(249), 399, 0), holds(definiens(249), 398, 0)))']) ).

fof(i_0_54,plain,
    ! [X330,X331] : vplus(vsucc(X330),X331) = vsucc(vplus(X330,X331)),
    inference(variable_rename,[status(thm)],['ass(cond(52, 0), 0)']) ).

fof(i_0_55,plain,
    ! [X61,X62] :
      ( ~ greater(X61,X62)
      | ~ less(X61,X62) ),
    inference(fof_simplification,[status(thm)],['ass(cond(goal(130), 0), 2)']) ).

fof(i_0_56,plain,
    ! [X342,X343] :
      ( vsucc(X342) != vsucc(X343)
      | X342 = X343 ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['qu(antec(axiom(3)), imp(antec(axiom(3))))'])]) ).

fof(i_0_57,plain,
    ! [X340,X341] :
      ( X340 = X341
      | vsucc(X340) != vsucc(X341) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['ass(cond(6, 0), 0)'])]) ).

fof(i_0_58,plain,
    ! [X61,X62] :
      ( X61 != X62
      | ~ less(X61,X62) ),
    inference(fof_simplification,[status(thm)],['ass(cond(goal(130), 0), 1)']) ).

fof(i_0_59,plain,
    ! [X61,X62] :
      ( X61 != X62
      | ~ greater(X61,X62) ),
    inference(fof_simplification,[status(thm)],['ass(cond(goal(130), 0), 3)']) ).

fof(i_0_60,plain,
    ! [X332] : vplus(v1,X332) = vsucc(X332),
    inference(variable_rename,[status(thm)],['ass(cond(43, 0), 0)']) ).

fof(i_0_61,plain,
    ! [X339] : vsucc(X339) != X339,
    inference(variable_rename,[status(thm)],['ass(cond(12, 0), 0)']) ).

fof(i_0_62,plain,
    ! [X338] :
      ( X338 = v1
      | X338 = vsucc(vskolem2(X338)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['ass(cond(20, 0), 0)'])]) ).

fof(i_0_63,plain,
    ! [X344] : vsucc(X344) != v1,
    inference(variable_rename,[status(thm)],['qu(restrictor(axiom(1)), holds(scope(axiom(1)), 2, 0))']) ).

fof(i_0_64,negated_conjecture,
    ~ ? [X1] : vd470 = vplus(vd471,X1),
    inference(assume_negation,[status(cth)],['qe(conseq_conjunct1(conseq(302)))']) ).

fof(i_0_65,plain,
    ! [X248,X249,X250] :
      ( ~ less(vplus(X248,X250),vplus(X249,X250))
      | less(X248,X249) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['ass(cond(goal(202), 0), 0)'])]) ).

fof(i_0_66,plain,
    ! [X254,X255,X256] :
      ( ~ greater(vplus(X254,X256),vplus(X255,X256))
      | greater(X254,X255) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['ass(cond(goal(202), 0), 2)'])]) ).

fof(i_0_67,plain,
    ! [X236,X237,X238,X239] :
      ( ~ geq(X238,X239)
      | ~ geq(X236,X237)
      | geq(vplus(X236,X238),vplus(X237,X239)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['ass(cond(223, 0), 0)'])]) ).

fof(i_0_68,plain,
    ! [X240,X241,X242,X243] :
      ( ( ~ greater(X242,X243)
        | ~ geq(X240,X241)
        | greater(vplus(X240,X242),vplus(X241,X243)) )
      & ( ~ geq(X242,X243)
        | ~ greater(X240,X241)
        | greater(vplus(X240,X242),vplus(X241,X243)) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['ass(cond(goal(216), 0), 0)'])])]) ).

fof(i_0_69,plain,
    ! [X244,X245,X246,X247] :
      ( ~ greater(X246,X247)
      | ~ greater(X244,X245)
      | greater(vplus(X244,X246),vplus(X245,X247)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['ass(cond(209, 0), 0)'])]) ).

fof(i_0_70,plain,
    ! [X221,X222,X223] : vmul(X221,vplus(X222,X223)) = vplus(vmul(X221,X222),vmul(X221,X223)),
    inference(variable_rename,[status(thm)],['ass(cond(281, 0), 0)']) ).

fof(i_0_71,plain,
    ! [X257,X258,X259] :
      ( ~ less(X257,X258)
      | less(vplus(X257,X259),vplus(X258,X259)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['ass(cond(goal(193), 0), 0)'])]) ).

fof(i_0_72,plain,
    ! [X263,X264,X265] :
      ( ~ greater(X263,X264)
      | greater(vplus(X263,X265),vplus(X264,X265)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['ass(cond(goal(193), 0), 2)'])]) ).

fof(i_0_73,plain,
    ! [X309,X310] :
      ( X309 = X310
      | X309 = vplus(X310,esk3_2(X309,X310))
      | X310 = vplus(X309,esk4_2(X309,X310)) ),
    inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],['ass(cond(goal(88), 0), 0)'])]) ).

fof(i_0_74,plain,
    ! [X218,X219,X220] : vmul(vmul(X218,X219),X220) = vmul(X218,vmul(X219,X220)),
    inference(variable_rename,[status(thm)],['ass(cond(290, 0), 0)']) ).

fof(i_0_75,plain,
    ! [X333,X334,X335] : vplus(vplus(X333,X334),X335) = vplus(X333,vplus(X334,X335)),
    inference(variable_rename,[status(thm)],['ass(cond(33, 0), 0)']) ).

cnf(i_0_76,plain,
    vmul(vsucc(X1),X2) = vplus(vmul(X1,X2),X2),
    inference(split_conjunct,[status(thm)],[i_0_51]) ).

cnf(i_0_77,plain,
    vplus(X1,v1) = vsucc(X1),
    inference(split_conjunct,[status(thm)],[i_0_52]) ).

cnf(i_0_78,plain,
    vmul(X1,vsucc(X2)) = vplus(vmul(X1,X2),X1),
    inference(split_conjunct,[status(thm)],[i_0_53]) ).

cnf(i_0_79,plain,
    vplus(vsucc(X1),X2) = vsucc(vplus(X1,X2)),
    inference(split_conjunct,[status(thm)],[i_0_54]) ).

cnf(i_0_80,plain,
    vplus(X1,vsucc(X2)) = vsucc(vplus(X1,X2)),
    inference(split_conjunct,[status(thm)],[i_0_52]) ).

fof(i_0_81,plain,
    ! [X231,X232] :
      ( ~ less(X231,vplus(X232,v1))
      | leq(X231,X232) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['ass(cond(241, 0), 0)'])]) ).

fof(i_0_82,plain,
    ! [X303,X304,X306,X307,X308] :
      ( ( ~ greater(X304,X303)
        | X304 = vplus(X303,esk2_2(X303,X304)) )
      & ( X307 != vplus(X306,X308)
        | greater(X307,X306) ) ),
    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_83,plain,
    ! [X297,X298,X300,X301,X302] :
      ( ( ~ less(X298,X297)
        | X297 = vplus(X298,esk1_2(X297,X298)) )
      & ( X300 != vplus(X301,X302)
        | less(X301,X300) ) ),
    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_84,plain,
    ! [X233,X234] :
      ( ~ greater(X233,X234)
      | geq(X233,vplus(X234,v1)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['ass(cond(234, 0), 0)'])]) ).

fof(i_0_85,plain,
    ! [X268,X269,X270] :
      ( ~ leq(X269,X270)
      | ~ leq(X268,X269)
      | leq(X268,X270) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['ass(cond(184, 0), 0)'])]) ).

fof(i_0_86,plain,
    ! [X271,X272,X273] :
      ( ( ~ less(X272,X273)
        | ~ leq(X271,X272)
        | less(X271,X273) )
      & ( ~ leq(X272,X273)
        | ~ less(X271,X272)
        | less(X271,X273) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['ass(cond(goal(177), 0), 0)'])])]) ).

fof(i_0_87,plain,
    ! [X274,X275,X276] :
      ( ~ less(X275,X276)
      | ~ less(X274,X275)
      | less(X274,X276) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['ass(cond(168, 0), 0)'])]) ).

fof(i_0_88,plain,
    ! [X316,X317,X318,X319] :
      ( X316 != vplus(X317,X318)
      | X317 != vplus(X316,X319) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['ass(cond(goal(88), 0), 2)'])])]) ).

fof(i_0_89,plain,
    ! [X323,X324,X325] :
      ( X323 = X324
      | vplus(X325,X323) != vplus(X325,X324) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['ass(cond(81, 0), 0)'])])]) ).

fof(i_0_90,plain,
    ! [X251,X252,X253] :
      ( vplus(X251,X253) != vplus(X252,X253)
      | X251 = X252 ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['ass(cond(goal(202), 0), 1)'])]) ).

fof(i_0_91,plain,
    ! [X293,X294] :
      ( ~ greater(X293,X294)
      | ~ less(X293,X294) ),
    inference(variable_rename,[status(thm)],[i_0_55]) ).

cnf(i_0_92,plain,
    ( X1 = X2
    | vsucc(X1) != vsucc(X2) ),
    inference(split_conjunct,[status(thm)],[i_0_56]) ).

cnf(i_0_93,plain,
    ( X1 = X2
    | vsucc(X1) != vsucc(X2) ),
    inference(split_conjunct,[status(thm)],[i_0_57]) ).

fof(i_0_94,plain,
    ! [X266,X267] : greater(vplus(X266,X267),X266),
    inference(variable_rename,[status(thm)],['ass(cond(189, 0), 0)']) ).

fof(i_0_95,plain,
    ! [X281,X282] :
      ( ( ~ leq(X282,X281)
        | less(X282,X281)
        | X282 = X281 )
      & ( ~ less(X282,X281)
        | leq(X282,X281) )
      & ( X282 != X281
        | leq(X282,X281) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['def(cond(conseq(axiom(3)), 17), 1)'])])]) ).

fof(i_0_96,plain,
    ! [X283,X284] :
      ( ( ~ geq(X284,X283)
        | greater(X284,X283)
        | X284 = X283 )
      & ( ~ greater(X284,X283)
        | geq(X284,X283) )
      & ( X284 != X283
        | geq(X284,X283) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['def(cond(conseq(axiom(3)), 16), 1)'])])]) ).

fof(i_0_97,plain,
    ! [X277,X278] :
      ( ~ leq(X277,X278)
      | geq(X278,X277) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['ass(cond(163, 0), 0)'])]) ).

fof(i_0_98,plain,
    ! [X279,X280] :
      ( ~ geq(X279,X280)
      | leq(X280,X279) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['ass(cond(158, 0), 0)'])]) ).

fof(i_0_99,plain,
    ! [X287,X288] :
      ( ~ greater(X287,X288)
      | less(X288,X287) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['ass(cond(140, 0), 0)'])]) ).

fof(i_0_100,plain,
    ! [X285,X286] :
      ( ~ less(X285,X286)
      | greater(X286,X285) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['ass(cond(147, 0), 0)'])]) ).

fof(i_0_101,plain,
    ! [X289,X290] :
      ( X289 = X290
      | greater(X289,X290)
      | less(X289,X290) ),
    inference(variable_rename,[status(thm)],['ass(cond(goal(130), 0), 0)']) ).

fof(i_0_102,plain,
    ! [X224,X225] : vmul(X224,X225) = vmul(X225,X224),
    inference(variable_rename,[status(thm)],['ass(cond(270, 0), 0)']) ).

fof(i_0_103,plain,
    ! [X328,X329] : vplus(X329,X328) = vplus(X328,X329),
    inference(variable_rename,[status(thm)],['ass(cond(61, 0), 0)']) ).

fof(i_0_104,plain,
    ! [X320,X321,X322] :
      ( X320 != X321
      | X320 != vplus(X321,X322) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['ass(cond(goal(88), 0), 3)'])])]) ).

fof(i_0_105,plain,
    ! [X313,X314,X315] :
      ( X313 != X314
      | X314 != vplus(X313,X315) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['ass(cond(goal(88), 0), 1)'])])]) ).

fof(i_0_106,plain,
    ! [X291,X292] :
      ( X291 != X292
      | ~ less(X291,X292) ),
    inference(variable_rename,[status(thm)],[i_0_58]) ).

fof(i_0_107,plain,
    ! [X295,X296] :
      ( X295 != X296
      | ~ greater(X295,X296) ),
    inference(variable_rename,[status(thm)],[i_0_59]) ).

cnf(i_0_108,plain,
    vplus(v1,X1) = vsucc(X1),
    inference(split_conjunct,[status(thm)],[i_0_60]) ).

fof(i_0_109,plain,
    ! [X326,X327] : X327 != vplus(X326,X327),
    inference(variable_rename,[status(thm)],['ass(cond(73, 0), 0)']) ).

cnf(i_0_110,plain,
    vsucc(X1) != X1,
    inference(split_conjunct,[status(thm)],[i_0_61]) ).

cnf(i_0_111,plain,
    ( X1 = v1
    | X1 = vsucc(vskolem2(X1)) ),
    inference(split_conjunct,[status(thm)],[i_0_62]) ).

cnf(i_0_112,plain,
    vsucc(X1) != v1,
    inference(split_conjunct,[status(thm)],[i_0_63]) ).

fof(i_0_113,negated_conjecture,
    ! [X217] : vd470 != vplus(vd471,X217),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_64])]) ).

fof(i_0_114,plain,
    ! [X228] : vmul(v1,X228) = X228,
    inference(variable_rename,[status(thm)],['ass(cond(253, 0), 0)']) ).

fof(i_0_115,plain,
    ! [X235] : geq(X235,v1),
    inference(variable_rename,[status(thm)],['ass(cond(228, 0), 0)']) ).

cnf(i_0_116,plain,
    ( less(X1,X3)
    | ~ less(vplus(X1,X2),vplus(X3,X2)) ),
    inference(split_conjunct,[status(thm)],[i_0_65]),
    [final] ).

cnf(i_0_117,plain,
    ( greater(X1,X3)
    | ~ greater(vplus(X1,X2),vplus(X3,X2)) ),
    inference(split_conjunct,[status(thm)],[i_0_66]),
    [final] ).

cnf(i_0_118,plain,
    ( geq(vplus(X3,X1),vplus(X4,X2))
    | ~ geq(X1,X2)
    | ~ geq(X3,X4) ),
    inference(split_conjunct,[status(thm)],[i_0_67]),
    [final] ).

cnf(i_0_119,plain,
    ( greater(vplus(X3,X1),vplus(X4,X2))
    | ~ greater(X1,X2)
    | ~ geq(X3,X4) ),
    inference(split_conjunct,[status(thm)],[i_0_68]),
    [final] ).

cnf(i_0_120,plain,
    ( greater(vplus(X3,X1),vplus(X4,X2))
    | ~ geq(X1,X2)
    | ~ greater(X3,X4) ),
    inference(split_conjunct,[status(thm)],[i_0_68]),
    [final] ).

cnf(i_0_121,plain,
    ( greater(vplus(X3,X1),vplus(X4,X2))
    | ~ greater(X1,X2)
    | ~ greater(X3,X4) ),
    inference(split_conjunct,[status(thm)],[i_0_69]),
    [final] ).

cnf(i_0_122,plain,
    vmul(X1,vplus(X2,X3)) = vplus(vmul(X1,X2),vmul(X1,X3)),
    inference(split_conjunct,[status(thm)],[i_0_70]),
    [final] ).

cnf(i_0_123,plain,
    ( less(vplus(X1,X3),vplus(X2,X3))
    | ~ less(X1,X2) ),
    inference(split_conjunct,[status(thm)],[i_0_71]),
    [final] ).

cnf(i_0_124,plain,
    ( greater(vplus(X1,X3),vplus(X2,X3))
    | ~ greater(X1,X2) ),
    inference(split_conjunct,[status(thm)],[i_0_72]),
    [final] ).

cnf(i_0_125,plain,
    ( X1 = X2
    | X1 = vplus(X2,esk3_2(X1,X2))
    | X2 = vplus(X1,esk4_2(X1,X2)) ),
    inference(split_conjunct,[status(thm)],[i_0_73]),
    [final] ).

cnf(i_0_126,plain,
    vmul(vmul(X1,X2),X3) = vmul(X1,vmul(X2,X3)),
    inference(split_conjunct,[status(thm)],[i_0_74]),
    [final] ).

cnf(i_0_127,plain,
    vplus(vplus(X1,X2),X3) = vplus(X1,vplus(X2,X3)),
    inference(split_conjunct,[status(thm)],[i_0_75]),
    [final] ).

cnf(i_0_128,plain,
    vmul(vplus(X1,v1),X2) = vplus(vmul(X1,X2),X2),
    inference(rw,[status(thm)],[i_0_76,c_0_77]),
    [final] ).

cnf(i_0_129,plain,
    vmul(X1,vplus(X2,v1)) = vplus(vmul(X1,X2),X1),
    inference(rw,[status(thm)],[i_0_78,c_0_77]),
    [final] ).

cnf(i_0_130,plain,
    vplus(vplus(X1,v1),X2) = vplus(vplus(X1,X2),v1),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_79,c_0_77]),c_0_77]),
    [final] ).

cnf(i_0_131,plain,
    vplus(X1,vplus(X2,v1)) = vplus(vplus(X1,X2),v1),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_80,c_0_77]),c_0_77]),
    [final] ).

cnf(i_0_132,plain,
    ( leq(X1,X2)
    | ~ less(X1,vplus(X2,v1)) ),
    inference(split_conjunct,[status(thm)],[i_0_81]),
    [final] ).

cnf(i_0_133,plain,
    ( X1 = vplus(X2,esk2_2(X2,X1))
    | ~ greater(X1,X2) ),
    inference(split_conjunct,[status(thm)],[i_0_82]),
    [final] ).

cnf(i_0_134,plain,
    ( X2 = vplus(X1,esk1_2(X2,X1))
    | ~ less(X1,X2) ),
    inference(split_conjunct,[status(thm)],[i_0_83]),
    [final] ).

cnf(i_0_135,plain,
    ( geq(X1,vplus(X2,v1))
    | ~ greater(X1,X2) ),
    inference(split_conjunct,[status(thm)],[i_0_84]),
    [final] ).

cnf(i_0_136,plain,
    ( leq(X3,X2)
    | ~ leq(X1,X2)
    | ~ leq(X3,X1) ),
    inference(split_conjunct,[status(thm)],[i_0_85]),
    [final] ).

cnf(i_0_137,plain,
    ( less(X3,X2)
    | ~ less(X1,X2)
    | ~ leq(X3,X1) ),
    inference(split_conjunct,[status(thm)],[i_0_86]),
    [final] ).

cnf(i_0_138,plain,
    ( less(X3,X2)
    | ~ leq(X1,X2)
    | ~ less(X3,X1) ),
    inference(split_conjunct,[status(thm)],[i_0_86]),
    [final] ).

cnf(i_0_139,plain,
    ( less(X3,X2)
    | ~ less(X1,X2)
    | ~ less(X3,X1) ),
    inference(split_conjunct,[status(thm)],[i_0_87]),
    [final] ).

cnf(i_0_140,plain,
    ( X1 != vplus(X2,X3)
    | X2 != vplus(X1,X4) ),
    inference(split_conjunct,[status(thm)],[i_0_88]),
    [final] ).

cnf(i_0_141,plain,
    ( X1 = X2
    | vplus(X3,X1) != vplus(X3,X2) ),
    inference(split_conjunct,[status(thm)],[i_0_89]),
    [final] ).

cnf(i_0_142,plain,
    ( X1 = X3
    | vplus(X1,X2) != vplus(X3,X2) ),
    inference(split_conjunct,[status(thm)],[i_0_90]),
    [final] ).

cnf(i_0_143,plain,
    ( ~ greater(X1,X2)
    | ~ less(X1,X2) ),
    inference(split_conjunct,[status(thm)],[i_0_91]),
    [final] ).

cnf(i_0_144,plain,
    ( X1 = X2
    | vplus(X1,v1) != vplus(X2,v1) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_92,c_0_77]),c_0_77]),
    [final] ).

cnf(i_0_145,plain,
    ( X1 = X2
    | vplus(X1,v1) != vplus(X2,v1) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_93,c_0_77]),c_0_77]),
    [final] ).

cnf(i_0_146,plain,
    greater(vplus(X1,X2),X1),
    inference(split_conjunct,[status(thm)],[i_0_94]),
    [final] ).

cnf(i_0_147,plain,
    ( less(X1,X2)
    | X1 = X2
    | ~ leq(X1,X2) ),
    inference(split_conjunct,[status(thm)],[i_0_95]),
    [final] ).

cnf(i_0_148,plain,
    ( greater(X1,X2)
    | X1 = X2
    | ~ geq(X1,X2) ),
    inference(split_conjunct,[status(thm)],[i_0_96]),
    [final] ).

cnf(i_0_149,plain,
    ( less(X2,X1)
    | X1 != vplus(X2,X3) ),
    inference(split_conjunct,[status(thm)],[i_0_83]),
    [final] ).

cnf(i_0_150,plain,
    ( greater(X1,X2)
    | X1 != vplus(X2,X3) ),
    inference(split_conjunct,[status(thm)],[i_0_82]),
    [final] ).

cnf(i_0_151,plain,
    ( geq(X1,X2)
    | ~ greater(X1,X2) ),
    inference(split_conjunct,[status(thm)],[i_0_96]),
    [final] ).

cnf(i_0_152,plain,
    ( geq(X2,X1)
    | ~ leq(X1,X2) ),
    inference(split_conjunct,[status(thm)],[i_0_97]),
    [final] ).

cnf(i_0_153,plain,
    ( leq(X1,X2)
    | ~ less(X1,X2) ),
    inference(split_conjunct,[status(thm)],[i_0_95]),
    [final] ).

cnf(i_0_154,plain,
    ( leq(X2,X1)
    | ~ geq(X1,X2) ),
    inference(split_conjunct,[status(thm)],[i_0_98]),
    [final] ).

cnf(i_0_155,plain,
    ( less(X2,X1)
    | ~ greater(X1,X2) ),
    inference(split_conjunct,[status(thm)],[i_0_99]),
    [final] ).

cnf(i_0_156,plain,
    ( greater(X2,X1)
    | ~ less(X1,X2) ),
    inference(split_conjunct,[status(thm)],[i_0_100]),
    [final] ).

cnf(i_0_157,plain,
    ( X1 = X2
    | greater(X1,X2)
    | less(X1,X2) ),
    inference(split_conjunct,[status(thm)],[i_0_101]),
    [final] ).

cnf(i_0_158,plain,
    vmul(X1,X2) = vmul(X2,X1),
    inference(split_conjunct,[status(thm)],[i_0_102]),
    [final] ).

cnf(i_0_159,plain,
    vplus(X1,X2) = vplus(X2,X1),
    inference(split_conjunct,[status(thm)],[i_0_103]),
    [final] ).

cnf(i_0_160,plain,
    ( X1 != X2
    | X1 != vplus(X2,X3) ),
    inference(split_conjunct,[status(thm)],[i_0_104]),
    [final] ).

cnf(i_0_161,plain,
    ( X1 != X2
    | X2 != vplus(X1,X3) ),
    inference(split_conjunct,[status(thm)],[i_0_105]),
    [final] ).

cnf(i_0_162,plain,
    ( X1 != X2
    | ~ less(X1,X2) ),
    inference(split_conjunct,[status(thm)],[i_0_106]),
    [final] ).

cnf(i_0_163,plain,
    ( X1 != X2
    | ~ greater(X1,X2) ),
    inference(split_conjunct,[status(thm)],[i_0_107]),
    [final] ).

cnf(i_0_164,plain,
    vplus(v1,X1) = vplus(X1,v1),
    inference(rw,[status(thm)],[i_0_108,c_0_77]),
    [final] ).

cnf(i_0_165,plain,
    X1 != vplus(X2,X1),
    inference(split_conjunct,[status(thm)],[i_0_109]),
    [final] ).

cnf(i_0_166,plain,
    vplus(X1,v1) != X1,
    inference(rw,[status(thm)],[i_0_110,c_0_77]),
    [final] ).

cnf(i_0_167,plain,
    ( X1 = v1
    | X1 = vplus(vskolem2(X1),v1) ),
    inference(rw,[status(thm)],[i_0_111,c_0_77]),
    [final] ).

cnf(i_0_168,plain,
    vplus(X1,v1) != v1,
    inference(rw,[status(thm)],[i_0_112,c_0_77]),
    [final] ).

cnf(i_0_169,negated_conjecture,
    vd470 != vplus(vd471,X1),
    inference(split_conjunct,[status(thm)],[i_0_113]),
    [final] ).

cnf(i_0_170,plain,
    ( geq(X1,X2)
    | X1 != X2 ),
    inference(split_conjunct,[status(thm)],[i_0_96]),
    [final] ).

cnf(i_0_171,plain,
    ( leq(X1,X2)
    | X1 != X2 ),
    inference(split_conjunct,[status(thm)],[i_0_95]),
    [final] ).

cnf(i_0_172,plain,
    vmul(v1,X1) = X1,
    inference(split_conjunct,[status(thm)],[i_0_114]),
    [final] ).

cnf(i_0_173,plain,
    vmul(X1,v1) = X1,
    inference(split_conjunct,[status(thm)],[i_0_53]),
    [final] ).

cnf(i_0_174,plain,
    geq(X1,v1),
    inference(split_conjunct,[status(thm)],[i_0_115]),
    [final] ).

cnf(i_0_175,plain,
    greater(vd470,vd471),
    inference(split_conjunct,[status(thm)],['holds(antec(302), 472, 0)']),
    [final] ).

cnf(i_0_176,axiom,
    X1 = X1 ).

cnf(i_0_177,axiom,
    ( X1 = X2
    | X2 != X1 ) ).

cnf(i_0_178,axiom,
    ( X1 = X2
    | X1 != X3
    | X3 != X2 ) ).

cnf(i_0_179,axiom,
    ( X1 != X2
    | vplus(X1,X3) = vplus(X2,X3) ) ).

cnf(i_0_180,axiom,
    ( X1 != X2
    | vplus(X3,X1) = vplus(X3,X2) ) ).

cnf(i_0_181,axiom,
    ( X1 != X2
    | vmul(X1,X3) = vmul(X2,X3) ) ).

cnf(i_0_182,axiom,
    ( X1 != X2
    | vmul(X3,X1) = vmul(X3,X2) ) ).

cnf(i_0_183,axiom,
    ( X1 != X2
    | ~ less(X1,X3)
    | less(X2,X3) ) ).

cnf(i_0_184,axiom,
    ( X1 != X2
    | ~ less(X3,X1)
    | less(X3,X2) ) ).

cnf(i_0_185,axiom,
    ( X1 != X2
    | ~ greater(X1,X3)
    | greater(X2,X3) ) ).

cnf(i_0_186,axiom,
    ( X1 != X2
    | ~ greater(X3,X1)
    | greater(X3,X2) ) ).

cnf(i_0_187,axiom,
    ( X1 != X2
    | ~ geq(X1,X3)
    | geq(X2,X3) ) ).

cnf(i_0_188,axiom,
    ( X1 != X2
    | ~ geq(X3,X1)
    | geq(X3,X2) ) ).

cnf(i_0_189,axiom,
    ( X1 != X2
    | ~ leq(X1,X3)
    | leq(X2,X3) ) ).

cnf(i_0_190,axiom,
    ( X1 != X2
    | ~ leq(X3,X1)
    | leq(X3,X2) ) ).

cnf(i_0_176_001,axiom,
    X1 = X1 ).

cnf(i_0_177_002,axiom,
    ( X1 = X2
    | X2 != X1 ) ).

cnf(i_0_178_003,axiom,
    ( X1 = X2
    | X1 != X3
    | X3 != X2 ) ).

cnf(i_0_179_004,axiom,
    ( X1 != X2
    | vplus(X1,X3) = vplus(X2,X3) ) ).

cnf(i_0_180_005,axiom,
    ( X1 != X2
    | vplus(X3,X1) = vplus(X3,X2) ) ).

cnf(i_0_181_006,axiom,
    ( X1 != X2
    | vmul(X1,X3) = vmul(X2,X3) ) ).

cnf(i_0_182_007,axiom,
    ( X1 != X2
    | vmul(X3,X1) = vmul(X3,X2) ) ).

cnf(i_0_183_008,axiom,
    ( X1 != X2
    | ~ less(X1,X3)
    | less(X2,X3) ) ).

cnf(i_0_184_009,axiom,
    ( X1 != X2
    | ~ less(X3,X1)
    | less(X3,X2) ) ).

cnf(i_0_185_010,axiom,
    ( X1 != X2
    | ~ greater(X1,X3)
    | greater(X2,X3) ) ).

cnf(i_0_186_011,axiom,
    ( X1 != X2
    | ~ greater(X3,X1)
    | greater(X3,X2) ) ).

cnf(i_0_187_012,axiom,
    ( X1 != X2
    | ~ geq(X1,X3)
    | geq(X2,X3) ) ).

cnf(i_0_188_013,axiom,
    ( X1 != X2
    | ~ geq(X3,X1)
    | geq(X3,X2) ) ).

cnf(i_0_189_014,axiom,
    ( X1 != X2
    | ~ leq(X1,X3)
    | leq(X2,X3) ) ).

cnf(i_0_190_015,axiom,
    ( X1 != X2
    | ~ leq(X3,X1)
    | leq(X3,X2) ) ).

cnf(i_0_191,plain,
    X1 = X1,
    inference(equality_inference,[],[141]) ).

cnf(i_0_192,plain,
    X1 = X1,
    inference(equality_inference,[],[142]) ).

cnf(i_0_193,plain,
    less(X1,vplus(X1,X2)),
    inference(equality_inference,[],[149]) ).

cnf(i_0_194,plain,
    greater(vplus(X1,X2),X1),
    inference(equality_inference,[],[150]) ).

cnf(i_0_195,plain,
    ~ less(X1,X1),
    inference(equality_inference,[],[162]) ).

cnf(i_0_196,plain,
    ~ greater(X1,X1),
    inference(equality_inference,[],[163]) ).

cnf(i_0_197,plain,
    geq(X1,X1),
    inference(equality_inference,[],[170]) ).

cnf(i_0_198,plain,
    leq(X1,X1),
    inference(equality_inference,[],[171]) ).

cnf(i_0_199,plain,
    $false,
    inference(scs_inference,[],[i_0_169,i_0_175,i_0_133]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11  % Problem    : NUM850+1 : TPTP v9.2.1. Released v4.1.0.
% 0.00/0.11  % 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
% 0.15/0.32  % Computer : n004.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 01:16:17 EDT 2026
% 0.15/0.32  % CPUTime    : 
% 0.15/0.33  % start to proof: theBenchmark
% 0.30/1.61  % Version  : CSE_E---1.7
% 0.30/1.61  % Problem  : theBenchmark.p
% 0.30/1.61  % SZS status Theorem for theBenchmark.p
% 0.30/1.61  % SZS output start CNFRefutation
% See solution above
% 0.30/1.63  % Total time : 1.271s
%------------------------------------------------------------------------------