CSE_E---1.7.THM-CRf.s

%------------------------------------------------------------------------------
% File     : CSE_E---1.7
% Problem  : COM133+1 : TPTP v9.2.1. Released v6.4.0.
% 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 : n028.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 04:13:18 PM UTC 2026

% Result   : Theorem 0.96s 1.67s
% Output   : CNFRefutation 1.12s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named c_0_61)

% Comments : 
%------------------------------------------------------------------------------
fof('subst-INV',axiom,
    ! [X1,X4,X6,X19] :
      ( vsubst(X1,X4,X6) = X19
     => ( ? [X9,X21,X11] :
            ( X1 = X9
            & X4 = X11
            & X6 = vvar(X21)
            & X9 = X21
            & X19 = X11 )
        | ? [X11,X9,X21] :
            ( X1 = X9
            & X4 = X11
            & X6 = vvar(X21)
            & X9 != X21
            & X19 = vvar(X21) )
        | ? [X12,X9,X11,X13] :
            ( X1 = X9
            & X4 = X11
            & X6 = vapp(X12,X13)
            & X19 = vapp(vsubst(X9,X11,X12),vsubst(X9,X11,X13)) )
        | ? [X11,X9,X21,X15,X12] :
            ( X1 = X9
            & X4 = X11
            & X6 = vabs(X21,X15,X12)
            & X9 = X21
            & X19 = vabs(X21,X15,X12) )
        | ? [X9,X11,X15,X21,X24,X12] :
            ( X1 = X9
            & X4 = X11
            & X6 = vabs(X21,X15,X12)
            & X9 != X21
            & visFreeVar(X21,X11)
            & X24 = vgensym(vapp(vapp(X11,X12),vvar(X9)))
            & X19 = vsubst(X9,X11,vabs(X24,X15,vsubst(X21,vvar(X24),X12))) )
        | ? [X21,X15,X9,X11,X12] :
            ( X1 = X9
            & X4 = X11
            & X6 = vabs(X21,X15,X12)
            & X9 != X21
            & ~ visFreeVar(X21,X11)
            & X19 = vabs(X21,X15,vsubst(X9,X11,X12)) ) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/COM001+0.ax','subst-INV') ).

fof(reduce6,axiom,
    ! [X13,X12,X27,X4,X19] :
      ( ( X4 = vapp(X12,X13)
        & ! [X28,X29,X30] : X12 != vabs(X28,X29,X30) )
     => ( ( X27 = vreduce(X12)
          & ~ visSomeExp(X27) )
       => ( X19 = vreduce(X4)
         => X19 = vnoExp ) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/COM001+0.ax',reduce6) ).

fof('T-subst-abs-2',axiom,
    ! [X15,X20,X9,X11,X21,X10,X34] :
      ( ( X9 != X21
        & ~ visFreeVar(X21,X11)
        & vtcheck(X20,X11,X15)
        & vtcheck(vbind(X9,X15,X20),vabs(X21,X10,veabs),X34) )
     => vtcheck(X20,vsubst(X9,X11,vabs(X21,X10,veabs)),X34) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p','T-subst-abs-2') ).

fof('T-subst-abs',conjecture,
    ! [X15,X20,X9,X11,X21,X10,X34] :
      ( ( vtcheck(X20,X11,X15)
        & vtcheck(vbind(X9,X15,X20),vabs(X21,X10,veabs),X34) )
     => vtcheck(X20,vsubst(X9,X11,vabs(X21,X10,veabs)),X34) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p','T-subst-abs') ).

fof(subst5,axiom,
    ! [X1,X4,X6,X19,X21,X15,X9,X11,X12] :
      ( ( X1 = X9
        & X4 = X11
        & X6 = vabs(X21,X15,X12) )
     => ( ( X9 != X21
          & ~ visFreeVar(X21,X11) )
       => ( X19 = vsubst(X1,X4,X6)
         => X19 = vabs(X21,X15,vsubst(X9,X11,X12)) ) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/COM001+0.ax',subst5) ).

fof(reduce3,axiom,
    ! [X10,X26,X4,X19,X9,X13,X12] :
      ( X4 = vapp(vabs(X9,X10,X12),X13)
     => ( ( X26 = vreduce(X13)
          & ~ visSomeExp(X26)
          & visValue(X13) )
       => ( X19 = vreduce(X4)
         => X19 = vsomeExp(vsubst(X9,X13,X12)) ) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/COM001+0.ax',reduce3) ).

fof('T-Strong',axiom,
    ! [X9,X10,X20,X11,X15] :
      ( ( ~ visFreeVar(X9,X11)
        & vtcheck(vbind(X9,X10,X20),X11,X15) )
     => vtcheck(X20,X11,X15) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p','T-Strong') ).

fof('T-Weak-FreeVar',axiom,
    ! [X9,X10,X20,X11,X15] :
      ( ( ~ visFreeVar(X9,X11)
        & vtcheck(X20,X11,X15) )
     => vtcheck(vbind(X9,X10,X20),X11,X15) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p','T-Weak-FreeVar') ).

fof(reduce4,axiom,
    ! [X9,X10,X12,X26,X13,X4,X19] :
      ( X4 = vapp(vabs(X9,X10,X12),X13)
     => ( ( X26 = vreduce(X13)
          & ~ visSomeExp(X26)
          & ~ visValue(X13) )
       => ( X19 = vreduce(X4)
         => X19 = vnoExp ) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/COM001+0.ax',reduce4) ).

fof('reduce-INV',axiom,
    ! [X4,X19] :
      ( vreduce(X4) = X19
     => ( ? [X9] :
            ( X4 = vvar(X9)
            & X19 = vnoExp )
        | ? [X9,X10,X11] :
            ( X4 = vabs(X9,X10,X11)
            & X19 = vnoExp )
        | ? [X13,X9,X10,X12,X26] :
            ( X4 = vapp(vabs(X9,X10,X12),X13)
            & X26 = vreduce(X13)
            & visSomeExp(X26)
            & X19 = vsomeExp(vapp(vabs(X9,X10,X12),vgetSomeExp(X26))) )
        | ? [X10,X26,X9,X13,X12] :
            ( X4 = vapp(vabs(X9,X10,X12),X13)
            & X26 = vreduce(X13)
            & ~ visSomeExp(X26)
            & visValue(X13)
            & X19 = vsomeExp(vsubst(X9,X13,X12)) )
        | ? [X9,X10,X12,X26,X13] :
            ( X4 = vapp(vabs(X9,X10,X12),X13)
            & X26 = vreduce(X13)
            & ~ visSomeExp(X26)
            & ~ visValue(X13)
            & X19 = vnoExp )
        | ? [X12,X27,X13] :
            ( X4 = vapp(X12,X13)
            & ! [X28,X29,X30] : X12 != vabs(X28,X29,X30)
            & X27 = vreduce(X12)
            & visSomeExp(X27)
            & X19 = vsomeExp(vapp(vgetSomeExp(X27),X13)) )
        | ? [X13,X12,X27] :
            ( X4 = vapp(X12,X13)
            & ! [X28,X29,X30] : X12 != vabs(X28,X29,X30)
            & X27 = vreduce(X12)
            & ~ visSomeExp(X27)
            & X19 = vnoExp ) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/COM001+0.ax','reduce-INV') ).

fof(isValue2,axiom,
    ! [X12,X13,X4] :
      ( X4 = vapp(X12,X13)
     => ~ visValue(X4) ),
    file('/export/starexec/sandbox/benchmark/Axioms/COM001+0.ax',isValue2) ).

fof('gensym-is-fresh',axiom,
    ! [X14,X11] :
      ( vgensym(X11) = X14
     => ~ visFreeVar(X14,X11) ),
    file('/export/starexec/sandbox/benchmark/Axioms/COM001+0.ax','gensym-is-fresh') ).

fof(isValue1,axiom,
    ! [X9,X4] :
      ( X4 = vvar(X9)
     => ~ visValue(X4) ),
    file('/export/starexec/sandbox/benchmark/Axioms/COM001+0.ax',isValue1) ).

fof(isSomeExp0,axiom,
    ! [X25] :
      ( X25 = vnoExp
     => ~ visSomeExp(X25) ),
    file('/export/starexec/sandbox/benchmark/Axioms/COM001+0.ax',isSomeExp0) ).

fof(isSomeType0,axiom,
    ! [X18] :
      ( X18 = vnoType
     => ~ visSomeType(X18) ),
    file('/export/starexec/sandbox/benchmark/Axioms/COM001+0.ax',isSomeType0) ).

fof(reduce5,axiom,
    ! [X12,X4,X19,X27,X13] :
      ( ( X4 = vapp(X12,X13)
        & ! [X28,X29,X30] : X12 != vabs(X28,X29,X30) )
     => ( ( X27 = vreduce(X12)
          & visSomeExp(X27) )
       => ( X19 = vreduce(X4)
         => X19 = vsomeExp(vapp(vgetSomeExp(X27),X13)) ) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/COM001+0.ax',reduce5) ).

fof('T-inv',axiom,
    ! [X11,X15,X20] :
      ( vtcheck(X20,X11,X15)
     => ( ? [X9] :
            ( X11 = vvar(X9)
            & vlookup(X9,X20) = vsomeType(X15) )
        | ? [X9,X13,X33,X34] :
            ( X11 = vabs(X9,X33,X13)
            & X15 = varrow(X33,X34)
            & vtcheck(vbind(X9,X33,X20),X13,X34) )
        | ? [X12,X13,X10] :
            ( X11 = vapp(X12,X13)
            & vtcheck(X20,X12,varrow(X10,X15))
            & vtcheck(X20,X13,X10) ) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/COM001+0.ax','T-inv') ).

fof('T-Context-Swap',axiom,
    ! [X21,X22,X9,X23,X20,X11,X15] :
      ( ( X9 != X21
        & vtcheck(vbind(X9,X23,vbind(X21,X22,X20)),X11,X15) )
     => vtcheck(vbind(X21,X22,vbind(X9,X23,X20)),X11,X15) ),
    file('/export/starexec/sandbox/benchmark/Axioms/COM001+0.ax','T-Context-Swap') ).

fof('T-subst-abs-3',axiom,
    ! [X15,X20,X9,X11,X21,X10,X34] :
      ( ( X9 != X21
        & visFreeVar(X21,X11)
        & vtcheck(X20,X11,X15)
        & vtcheck(vbind(X9,X15,X20),vabs(X21,X10,veabs),X34) )
     => vtcheck(X20,vsubst(X9,X11,vabs(X21,X10,veabs)),X34) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p','T-subst-abs-3') ).

fof('T-subst-abs-1',axiom,
    ! [X15,X20,X9,X11,X21,X10,X12,X34] :
      ( ( X9 = X21
        & vtcheck(X20,X11,X15)
        & vtcheck(vbind(X9,X15,X20),vabs(X21,X10,X12),X34) )
     => vtcheck(X20,vsubst(X9,X11,vabs(X21,X10,X12)),X34) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p','T-subst-abs-1') ).

fof('lookup-INV',axiom,
    ! [X1,X16,X19] :
      ( vlookup(X1,X16) = X19
     => ( ? [X9] :
            ( X1 = X9
            & X16 = vempty
            & X19 = vnoType )
        | ? [X20,X9,X21,X22] :
            ( X1 = X9
            & X16 = vbind(X21,X22,X20)
            & X9 = X21
            & X19 = vsomeType(X22) )
        | ? [X22,X21,X9,X20] :
            ( X1 = X9
            & X16 = vbind(X21,X22,X20)
            & X9 != X21
            & X19 = vlookup(X9,X20) ) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/COM001+0.ax','lookup-INV') ).

fof(subst4,axiom,
    ! [X1,X4,X6,X19,X9,X11,X15,X21,X24,X12] :
      ( ( X1 = X9
        & X4 = X11
        & X6 = vabs(X21,X15,X12) )
     => ( ( X9 != X21
          & visFreeVar(X21,X11)
          & X24 = vgensym(vapp(vapp(X11,X12),vvar(X9))) )
       => ( X19 = vsubst(X1,X4,X6)
         => X19 = vsubst(X9,X11,vabs(X24,X15,vsubst(X21,vvar(X24),X12))) ) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/COM001+0.ax',subst4) ).

fof('T-Context-Duplicate',axiom,
    ! [X21,X22,X9,X23,X20,X11,X15] :
      ( ( X9 = X21
        & vtcheck(vbind(X9,X23,vbind(X21,X22,X20)),X11,X15) )
     => vtcheck(vbind(X9,X23,X20),X11,X15) ),
    file('/export/starexec/sandbox/benchmark/Axioms/COM001+0.ax','T-Context-Duplicate') ).

fof('T-subst-IH-abs',axiom,
    ! [X15,X20,X9,X11,X34] :
      ( ( vtcheck(X20,X11,X15)
        & vtcheck(vbind(X9,X15,X20),veabs,X34) )
     => vtcheck(X20,vsubst(X9,X11,veabs),X34) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p','T-subst-IH-abs') ).

fof(reduce2,axiom,
    ! [X13,X4,X19,X9,X10,X12,X26] :
      ( X4 = vapp(vabs(X9,X10,X12),X13)
     => ( ( X26 = vreduce(X13)
          & visSomeExp(X26) )
       => ( X19 = vreduce(X4)
         => X19 = vsomeExp(vapp(vabs(X9,X10,X12),vgetSomeExp(X26))) ) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/COM001+0.ax',reduce2) ).

fof('T-abs',axiom,
    ! [X20,X9,X11,X10,X15] :
      ( vtcheck(vbind(X9,X10,X20),X11,X15)
     => vtcheck(X20,vabs(X9,X10,X11),varrow(X10,X15)) ),
    file('/export/starexec/sandbox/benchmark/Axioms/COM001+0.ax','T-abs') ).

fof(subst2,axiom,
    ! [X1,X4,X6,X19,X12,X9,X11,X13] :
      ( ( X1 = X9
        & X4 = X11
        & X6 = vapp(X12,X13) )
     => ( X19 = vsubst(X1,X4,X6)
       => X19 = vapp(vsubst(X9,X11,X12),vsubst(X9,X11,X13)) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/COM001+0.ax',subst2) ).

fof('T-app',axiom,
    ! [X10,X20,X12,X13,X15] :
      ( ( vtcheck(X20,X12,varrow(X10,X15))
        & vtcheck(X20,X13,X10) )
     => vtcheck(X20,vapp(X12,X13),X15) ),
    file('/export/starexec/sandbox/benchmark/Axioms/COM001+0.ax','T-app') ).

fof('T-Weak',axiom,
    ! [X9,X10,X20,X11,X15] :
      ( ( vlookup(X9,X20) = vnoType
        & vtcheck(X20,X11,X15) )
     => vtcheck(vbind(X9,X10,X20),X11,X15) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p','T-Weak') ).

fof(subst3,axiom,
    ! [X11,X9,X1,X4,X6,X19,X21,X15,X12] :
      ( ( X1 = X9
        & X4 = X11
        & X6 = vabs(X21,X15,X12) )
     => ( X9 = X21
       => ( X19 = vsubst(X1,X4,X6)
         => X19 = vabs(X21,X15,X12) ) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/COM001+0.ax',subst3) ).

fof('EQ-bind',axiom,
    ! [X1,X3,X16,X2,X5,X17] :
      ( ( vbind(X1,X3,X16) = vbind(X2,X5,X17)
       => ( X1 = X2
          & X3 = X5
          & X16 = X17 ) )
      & ( ( X1 = X2
          & X3 = X5
          & X16 = X17 )
       => vbind(X1,X3,X16) = vbind(X2,X5,X17) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/COM001+0.ax','EQ-bind') ).

fof('EQ-abs',axiom,
    ! [X1,X3,X4,X2,X5,X6] :
      ( ( vabs(X1,X3,X4) = vabs(X2,X5,X6)
       => ( X1 = X2
          & X3 = X5
          & X4 = X6 ) )
      & ( ( X1 = X2
          & X3 = X5
          & X4 = X6 )
       => vabs(X1,X3,X4) = vabs(X2,X5,X6) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/COM001+0.ax','EQ-abs') ).

fof(lookup2,axiom,
    ! [X22,X21,X1,X16,X19,X9,X20] :
      ( ( X1 = X9
        & X16 = vbind(X21,X22,X20) )
     => ( X9 != X21
       => ( X19 = vlookup(X1,X16)
         => X19 = vlookup(X9,X20) ) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/COM001+0.ax',lookup2) ).

fof(isFreeVar1,axiom,
    ! [X15,X1,X4,X9,X14,X11] :
      ( ( X1 = X14
        & X4 = vabs(X9,X15,X11) )
     => ( ( ( X9 != X14
            & visFreeVar(X14,X11) )
         => visFreeVar(X1,X4) )
        & ( visFreeVar(X1,X4)
         => ( X9 != X14
            & visFreeVar(X14,X11) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/COM001+0.ax',isFreeVar1) ).

fof(lookup1,axiom,
    ! [X20,X9,X21,X1,X16,X19,X22] :
      ( ( X1 = X9
        & X16 = vbind(X21,X22,X20) )
     => ( X9 = X21
       => ( X19 = vlookup(X1,X16)
         => X19 = vsomeType(X22) ) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/COM001+0.ax',lookup1) ).

fof(subst1,axiom,
    ! [X11,X9,X1,X4,X6,X19,X21] :
      ( ( X1 = X9
        & X4 = X11
        & X6 = vvar(X21) )
     => ( X9 != X21
       => ( X19 = vsubst(X1,X4,X6)
         => X19 = vvar(X21) ) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/COM001+0.ax',subst1) ).

fof(subst0,axiom,
    ! [X9,X21,X1,X4,X6,X19,X11] :
      ( ( X1 = X9
        & X4 = X11
        & X6 = vvar(X21) )
     => ( X9 = X21
       => ( X19 = vsubst(X1,X4,X6)
         => X19 = X11 ) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/COM001+0.ax',subst0) ).

fof('DIFF-abs-app',axiom,
    ! [X1,X3,X4,X6,X7] : vabs(X1,X3,X4) != vapp(X6,X7),
    file('/export/starexec/sandbox/benchmark/Axioms/COM001+0.ax','DIFF-abs-app') ).

fof(reduce1,axiom,
    ! [X9,X10,X11,X4,X19] :
      ( X4 = vabs(X9,X10,X11)
     => ( X19 = vreduce(X4)
       => X19 = vnoExp ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/COM001+0.ax',reduce1) ).

fof('DIFF-var-abs',axiom,
    ! [X1,X2,X3,X4] : vvar(X1) != vabs(X2,X3,X4),
    file('/export/starexec/sandbox/benchmark/Axioms/COM001+0.ax','DIFF-var-abs') ).

fof(isValue0,axiom,
    ! [X9,X10,X11,X4] :
      ( X4 = vabs(X9,X10,X11)
     => visValue(X4) ),
    file('/export/starexec/sandbox/benchmark/Axioms/COM001+0.ax',isValue0) ).

fof('T-var',axiom,
    ! [X20,X9,X15] :
      ( vlookup(X9,X20) = vsomeType(X15)
     => vtcheck(X20,vvar(X9),X15) ),
    file('/export/starexec/sandbox/benchmark/Axioms/COM001+0.ax','T-var') ).

fof('DIFF-empty-bind',axiom,
    ! [X1,X3,X16] : vempty != vbind(X1,X3,X16),
    file('/export/starexec/sandbox/benchmark/Axioms/COM001+0.ax','DIFF-empty-bind') ).

fof(isFreeVar2,axiom,
    ! [X1,X4,X12,X14,X13] :
      ( ( X1 = X14
        & X4 = vapp(X12,X13) )
     => ( ( ( visFreeVar(X14,X12)
            | visFreeVar(X14,X13) )
         => visFreeVar(X1,X4) )
        & ( visFreeVar(X1,X4)
         => ( visFreeVar(X14,X12)
            | visFreeVar(X14,X13) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/COM001+0.ax',isFreeVar2) ).

fof('EQ-arrow',axiom,
    ! [X3,X5,X31,X32] :
      ( ( varrow(X3,X5) = varrow(X31,X32)
       => ( X3 = X31
          & X5 = X32 ) )
      & ( ( X3 = X31
          & X5 = X32 )
       => varrow(X3,X5) = varrow(X31,X32) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/COM001+0.ax','EQ-arrow') ).

fof('EQ-app',axiom,
    ! [X4,X6,X7,X8] :
      ( ( vapp(X4,X6) = vapp(X7,X8)
       => ( X4 = X7
          & X6 = X8 ) )
      & ( ( X4 = X7
          & X6 = X8 )
       => vapp(X4,X6) = vapp(X7,X8) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/COM001+0.ax','EQ-app') ).

fof(isFreeVar0,axiom,
    ! [X1,X4,X9,X14] :
      ( ( X1 = X14
        & X4 = vvar(X9) )
     => ( ( X9 = X14
         => visFreeVar(X1,X4) )
        & ( visFreeVar(X1,X4)
         => X9 = X14 ) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/COM001+0.ax',isFreeVar0) ).

fof(lookup0,axiom,
    ! [X9,X1,X16,X19] :
      ( ( X1 = X9
        & X16 = vempty )
     => ( X19 = vlookup(X1,X16)
       => X19 = vnoType ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/COM001+0.ax',lookup0) ).

fof('DIFF-var-app',axiom,
    ! [X1,X4,X6] : vvar(X1) != vapp(X4,X6),
    file('/export/starexec/sandbox/benchmark/Axioms/COM001+0.ax','DIFF-var-app') ).

fof(getSomeExp0,axiom,
    ! [X25,X19,X11] :
      ( X25 = vsomeExp(X11)
     => ( X19 = vgetSomeExp(X25)
       => X19 = X11 ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/COM001+0.ax',getSomeExp0) ).

fof(getSomeType0,axiom,
    ! [X18,X19,X11] :
      ( X18 = vsomeType(X11)
     => ( X19 = vgetSomeType(X18)
       => X19 = X11 ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/COM001+0.ax',getSomeType0) ).

fof(reduce0,axiom,
    ! [X9,X4,X19] :
      ( X4 = vvar(X9)
     => ( X19 = vreduce(X4)
       => X19 = vnoExp ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/COM001+0.ax',reduce0) ).

fof('EQ-someExp',axiom,
    ! [X4,X6] :
      ( ( vsomeExp(X4) = vsomeExp(X6)
       => X4 = X6 )
      & ( X4 = X6
       => vsomeExp(X4) = vsomeExp(X6) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/COM001+0.ax','EQ-someExp') ).

fof('EQ-someType',axiom,
    ! [X3,X5] :
      ( ( vsomeType(X3) = vsomeType(X5)
       => X3 = X5 )
      & ( X3 = X5
       => vsomeType(X3) = vsomeType(X5) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/COM001+0.ax','EQ-someType') ).

fof('EQ-var',axiom,
    ! [X1,X2] :
      ( ( vvar(X1) = vvar(X2)
       => X1 = X2 )
      & ( X1 = X2
       => vvar(X1) = vvar(X2) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/COM001+0.ax','EQ-var') ).

fof(isSomeExp1,axiom,
    ! [X11,X25] :
      ( X25 = vsomeExp(X11)
     => visSomeExp(X25) ),
    file('/export/starexec/sandbox/benchmark/Axioms/COM001+0.ax',isSomeExp1) ).

fof(isSomeType1,axiom,
    ! [X11,X18] :
      ( X18 = vsomeType(X11)
     => visSomeType(X18) ),
    file('/export/starexec/sandbox/benchmark/Axioms/COM001+0.ax',isSomeType1) ).

fof('DIFF-noExp-someExp',axiom,
    ! [X4] : vnoExp != vsomeExp(X4),
    file('/export/starexec/sandbox/benchmark/Axioms/COM001+0.ax','DIFF-noExp-someExp') ).

fof('DIFF-noType-someType',axiom,
    ! [X3] : vnoType != vsomeType(X3),
    file('/export/starexec/sandbox/benchmark/Axioms/COM001+0.ax','DIFF-noType-someType') ).

fof(i_0_59,plain,
    ! [X4,X19] :
      ( epred3_2(X19,X4)
    <=> ( ? [X9] :
            ( X4 = vvar(X9)
            & X19 = vnoExp )
        | ? [X9,X10,X11] :
            ( X4 = vabs(X9,X10,X11)
            & X19 = vnoExp )
        | ? [X13,X9,X10,X12,X26] :
            ( X4 = vapp(vabs(X9,X10,X12),X13)
            & X26 = vreduce(X13)
            & visSomeExp(X26)
            & X19 = vsomeExp(vapp(vabs(X9,X10,X12),vgetSomeExp(X26))) )
        | ? [X10,X26,X9,X13,X12] :
            ( X4 = vapp(vabs(X9,X10,X12),X13)
            & X26 = vreduce(X13)
            & ~ visSomeExp(X26)
            & visValue(X13)
            & X19 = vsomeExp(vsubst(X9,X13,X12)) ) ) ),
    introduced(definition) ).

fof(i_0_60,plain,
    ! [X1,X4,X6,X19] :
      ( epred2_4(X19,X6,X4,X1)
    <=> ( ? [X9,X21,X11] :
            ( X1 = X9
            & X4 = X11
            & X6 = vvar(X21)
            & X9 = X21
            & X19 = X11 )
        | ? [X11,X9,X21] :
            ( X1 = X9
            & X4 = X11
            & X6 = vvar(X21)
            & X9 != X21
            & X19 = vvar(X21) )
        | ? [X12,X9,X11,X13] :
            ( X1 = X9
            & X4 = X11
            & X6 = vapp(X12,X13)
            & X19 = vapp(vsubst(X9,X11,X12),vsubst(X9,X11,X13)) )
        | ? [X11,X9,X21,X15,X12] :
            ( X1 = X9
            & X4 = X11
            & X6 = vabs(X21,X15,X12)
            & X9 = X21
            & X19 = vabs(X21,X15,X12) )
        | ? [X9,X11,X15,X21,X24,X12] :
            ( X1 = X9
            & X4 = X11
            & X6 = vabs(X21,X15,X12)
            & X9 != X21
            & visFreeVar(X21,X11)
            & X24 = vgensym(vapp(vapp(X11,X12),vvar(X9)))
            & X19 = vsubst(X9,X11,vabs(X24,X15,vsubst(X21,vvar(X24),X12))) ) ) ),
    introduced(definition) ).

fof(i_0_61,plain,
    ! [X1,X4,X6,X19] :
      ( epred1_4(X19,X6,X4,X1)
    <=> ( ? [X9,X21,X11] :
            ( X1 = X9
            & X4 = X11
            & X6 = vvar(X21)
            & X9 = X21
            & X19 = X11 )
        | ? [X11,X9,X21] :
            ( X1 = X9
            & X4 = X11
            & X6 = vvar(X21)
            & X9 != X21
            & X19 = vvar(X21) ) ) ),
    introduced(definition) ).

fof(i_0_62,plain,
    ! [X4,X19] :
      ( epred3_2(X19,X4)
     => ( ? [X9] :
            ( X4 = vvar(X9)
            & X19 = vnoExp )
        | ? [X9,X10,X11] :
            ( X4 = vabs(X9,X10,X11)
            & X19 = vnoExp )
        | ? [X13,X9,X10,X12,X26] :
            ( X4 = vapp(vabs(X9,X10,X12),X13)
            & X26 = vreduce(X13)
            & visSomeExp(X26)
            & X19 = vsomeExp(vapp(vabs(X9,X10,X12),vgetSomeExp(X26))) )
        | ? [X10,X26,X9,X13,X12] :
            ( X4 = vapp(vabs(X9,X10,X12),X13)
            & X26 = vreduce(X13)
            & ~ visSomeExp(X26)
            & visValue(X13)
            & X19 = vsomeExp(vsubst(X9,X13,X12)) ) ) ),
    inference(split_equiv,[status(thm)],[i_0_59]) ).

fof(i_0_63,plain,
    ! [X4,X19] :
      ( epred4_2(X19,X4)
    <=> ( ? [X9] :
            ( X4 = vvar(X9)
            & X19 = vnoExp )
        | ? [X9,X10,X11] :
            ( X4 = vabs(X9,X10,X11)
            & X19 = vnoExp )
        | ? [X13,X9,X10,X12,X26] :
            ( X4 = vapp(vabs(X9,X10,X12),X13)
            & X26 = vreduce(X13)
            & visSomeExp(X26)
            & X19 = vsomeExp(vapp(vabs(X9,X10,X12),vgetSomeExp(X26))) )
        | ? [X10,X26,X9,X13,X12] :
            ( X4 = vapp(vabs(X9,X10,X12),X13)
            & X26 = vreduce(X13)
            & ~ visSomeExp(X26)
            & visValue(X13)
            & X19 = vsomeExp(vsubst(X9,X13,X12)) )
        | ? [X9,X10,X12,X26,X13] :
            ( X4 = vapp(vabs(X9,X10,X12),X13)
            & X26 = vreduce(X13)
            & ~ visSomeExp(X26)
            & ~ visValue(X13)
            & X19 = vnoExp )
        | ? [X12,X27,X13] :
            ( X4 = vapp(X12,X13)
            & ! [X28,X29,X30] : X12 != vabs(X28,X29,X30)
            & X27 = vreduce(X12)
            & visSomeExp(X27)
            & X19 = vsomeExp(vapp(vgetSomeExp(X27),X13)) ) ) ),
    introduced(definition) ).

fof(i_0_64,plain,
    ! [X1,X4,X6,X19] :
      ( epred2_4(X19,X6,X4,X1)
     => ( epred1_4(X19,X6,X4,X1)
        | ? [X12,X9,X11,X13] :
            ( X1 = X9
            & X4 = X11
            & X6 = vapp(X12,X13)
            & X19 = vapp(vsubst(X9,X11,X12),vsubst(X9,X11,X13)) )
        | ? [X11,X9,X21,X15,X12] :
            ( X1 = X9
            & X4 = X11
            & X6 = vabs(X21,X15,X12)
            & X9 = X21
            & X19 = vabs(X21,X15,X12) )
        | ? [X9,X11,X15,X21,X24,X12] :
            ( X1 = X9
            & X4 = X11
            & X6 = vabs(X21,X15,X12)
            & X9 != X21
            & visFreeVar(X21,X11)
            & X24 = vgensym(vapp(vapp(X11,X12),vvar(X9)))
            & X19 = vsubst(X9,X11,vabs(X24,X15,vsubst(X21,vvar(X24),X12))) ) ) ),
    inference(apply_def,[status(thm)],[inference(split_equiv,[status(thm)],[i_0_60]),c_0_61]) ).

fof(i_0_65,plain,
    ! [X1,X4,X6,X19] :
      ( vsubst(X1,X4,X6) = X19
     => ( epred2_4(X19,X6,X4,X1)
        | ? [X21,X15,X9,X11,X12] :
            ( X1 = X9
            & X4 = X11
            & X6 = vabs(X21,X15,X12)
            & X9 != X21
            & ~ visFreeVar(X21,X11)
            & X19 = vabs(X21,X15,vsubst(X9,X11,X12)) ) ) ),
    inference(apply_def,[status(thm)],[inference(fof_simplification,[status(thm)],['subst-INV']),c_0_60]) ).

fof(i_0_66,plain,
    ! [X1,X4,X6,X19] :
      ( epred1_4(X19,X6,X4,X1)
     => ( ? [X9,X21,X11] :
            ( X1 = X9
            & X4 = X11
            & X6 = vvar(X21)
            & X9 = X21
            & X19 = X11 )
        | ? [X11,X9,X21] :
            ( X1 = X9
            & X4 = X11
            & X6 = vvar(X21)
            & X9 != X21
            & X19 = vvar(X21) ) ) ),
    inference(split_equiv,[status(thm)],[i_0_61]) ).

fof(i_0_67,plain,
    ! [X13,X12,X27,X4,X19] :
      ( ( X4 = vapp(X12,X13)
        & ! [X28,X29,X30] : X12 != vabs(X28,X29,X30) )
     => ( ( X27 = vreduce(X12)
          & ~ visSomeExp(X27) )
       => ( X19 = vreduce(X4)
         => X19 = vnoExp ) ) ),
    inference(fof_simplification,[status(thm)],[reduce6]) ).

fof(i_0_68,plain,
    ! [X730,X731] :
      ( ( X730 = vapp(vabs(esk71_2(X730,X731),esk69_2(X730,X731),esk73_2(X730,X731)),esk72_2(X730,X731))
        | X730 = vapp(vabs(esk65_2(X730,X731),esk66_2(X730,X731),esk67_2(X730,X731)),esk64_2(X730,X731))
        | X730 = vabs(esk61_2(X730,X731),esk62_2(X730,X731),esk63_2(X730,X731))
        | X730 = vvar(esk60_2(X730,X731))
        | ~ epred3_2(X731,X730) )
      & ( esk70_2(X730,X731) = vreduce(esk72_2(X730,X731))
        | X730 = vapp(vabs(esk65_2(X730,X731),esk66_2(X730,X731),esk67_2(X730,X731)),esk64_2(X730,X731))
        | X730 = vabs(esk61_2(X730,X731),esk62_2(X730,X731),esk63_2(X730,X731))
        | X730 = vvar(esk60_2(X730,X731))
        | ~ epred3_2(X731,X730) )
      & ( ~ visSomeExp(esk70_2(X730,X731))
        | X730 = vapp(vabs(esk65_2(X730,X731),esk66_2(X730,X731),esk67_2(X730,X731)),esk64_2(X730,X731))
        | X730 = vabs(esk61_2(X730,X731),esk62_2(X730,X731),esk63_2(X730,X731))
        | X730 = vvar(esk60_2(X730,X731))
        | ~ epred3_2(X731,X730) )
      & ( visValue(esk72_2(X730,X731))
        | X730 = vapp(vabs(esk65_2(X730,X731),esk66_2(X730,X731),esk67_2(X730,X731)),esk64_2(X730,X731))
        | X730 = vabs(esk61_2(X730,X731),esk62_2(X730,X731),esk63_2(X730,X731))
        | X730 = vvar(esk60_2(X730,X731))
        | ~ epred3_2(X731,X730) )
      & ( X731 = vsomeExp(vsubst(esk71_2(X730,X731),esk72_2(X730,X731),esk73_2(X730,X731)))
        | X730 = vapp(vabs(esk65_2(X730,X731),esk66_2(X730,X731),esk67_2(X730,X731)),esk64_2(X730,X731))
        | X730 = vabs(esk61_2(X730,X731),esk62_2(X730,X731),esk63_2(X730,X731))
        | X730 = vvar(esk60_2(X730,X731))
        | ~ epred3_2(X731,X730) )
      & ( X730 = vapp(vabs(esk71_2(X730,X731),esk69_2(X730,X731),esk73_2(X730,X731)),esk72_2(X730,X731))
        | esk68_2(X730,X731) = vreduce(esk64_2(X730,X731))
        | X730 = vabs(esk61_2(X730,X731),esk62_2(X730,X731),esk63_2(X730,X731))
        | X730 = vvar(esk60_2(X730,X731))
        | ~ epred3_2(X731,X730) )
      & ( esk70_2(X730,X731) = vreduce(esk72_2(X730,X731))
        | esk68_2(X730,X731) = vreduce(esk64_2(X730,X731))
        | X730 = vabs(esk61_2(X730,X731),esk62_2(X730,X731),esk63_2(X730,X731))
        | X730 = vvar(esk60_2(X730,X731))
        | ~ epred3_2(X731,X730) )
      & ( ~ visSomeExp(esk70_2(X730,X731))
        | esk68_2(X730,X731) = vreduce(esk64_2(X730,X731))
        | X730 = vabs(esk61_2(X730,X731),esk62_2(X730,X731),esk63_2(X730,X731))
        | X730 = vvar(esk60_2(X730,X731))
        | ~ epred3_2(X731,X730) )
      & ( visValue(esk72_2(X730,X731))
        | esk68_2(X730,X731) = vreduce(esk64_2(X730,X731))
        | X730 = vabs(esk61_2(X730,X731),esk62_2(X730,X731),esk63_2(X730,X731))
        | X730 = vvar(esk60_2(X730,X731))
        | ~ epred3_2(X731,X730) )
      & ( X731 = vsomeExp(vsubst(esk71_2(X730,X731),esk72_2(X730,X731),esk73_2(X730,X731)))
        | esk68_2(X730,X731) = vreduce(esk64_2(X730,X731))
        | X730 = vabs(esk61_2(X730,X731),esk62_2(X730,X731),esk63_2(X730,X731))
        | X730 = vvar(esk60_2(X730,X731))
        | ~ epred3_2(X731,X730) )
      & ( X730 = vapp(vabs(esk71_2(X730,X731),esk69_2(X730,X731),esk73_2(X730,X731)),esk72_2(X730,X731))
        | visSomeExp(esk68_2(X730,X731))
        | X730 = vabs(esk61_2(X730,X731),esk62_2(X730,X731),esk63_2(X730,X731))
        | X730 = vvar(esk60_2(X730,X731))
        | ~ epred3_2(X731,X730) )
      & ( esk70_2(X730,X731) = vreduce(esk72_2(X730,X731))
        | visSomeExp(esk68_2(X730,X731))
        | X730 = vabs(esk61_2(X730,X731),esk62_2(X730,X731),esk63_2(X730,X731))
        | X730 = vvar(esk60_2(X730,X731))
        | ~ epred3_2(X731,X730) )
      & ( ~ visSomeExp(esk70_2(X730,X731))
        | visSomeExp(esk68_2(X730,X731))
        | X730 = vabs(esk61_2(X730,X731),esk62_2(X730,X731),esk63_2(X730,X731))
        | X730 = vvar(esk60_2(X730,X731))
        | ~ epred3_2(X731,X730) )
      & ( visValue(esk72_2(X730,X731))
        | visSomeExp(esk68_2(X730,X731))
        | X730 = vabs(esk61_2(X730,X731),esk62_2(X730,X731),esk63_2(X730,X731))
        | X730 = vvar(esk60_2(X730,X731))
        | ~ epred3_2(X731,X730) )
      & ( X731 = vsomeExp(vsubst(esk71_2(X730,X731),esk72_2(X730,X731),esk73_2(X730,X731)))
        | visSomeExp(esk68_2(X730,X731))
        | X730 = vabs(esk61_2(X730,X731),esk62_2(X730,X731),esk63_2(X730,X731))
        | X730 = vvar(esk60_2(X730,X731))
        | ~ epred3_2(X731,X730) )
      & ( X730 = vapp(vabs(esk71_2(X730,X731),esk69_2(X730,X731),esk73_2(X730,X731)),esk72_2(X730,X731))
        | X731 = vsomeExp(vapp(vabs(esk65_2(X730,X731),esk66_2(X730,X731),esk67_2(X730,X731)),vgetSomeExp(esk68_2(X730,X731))))
        | X730 = vabs(esk61_2(X730,X731),esk62_2(X730,X731),esk63_2(X730,X731))
        | X730 = vvar(esk60_2(X730,X731))
        | ~ epred3_2(X731,X730) )
      & ( esk70_2(X730,X731) = vreduce(esk72_2(X730,X731))
        | X731 = vsomeExp(vapp(vabs(esk65_2(X730,X731),esk66_2(X730,X731),esk67_2(X730,X731)),vgetSomeExp(esk68_2(X730,X731))))
        | X730 = vabs(esk61_2(X730,X731),esk62_2(X730,X731),esk63_2(X730,X731))
        | X730 = vvar(esk60_2(X730,X731))
        | ~ epred3_2(X731,X730) )
      & ( ~ visSomeExp(esk70_2(X730,X731))
        | X731 = vsomeExp(vapp(vabs(esk65_2(X730,X731),esk66_2(X730,X731),esk67_2(X730,X731)),vgetSomeExp(esk68_2(X730,X731))))
        | X730 = vabs(esk61_2(X730,X731),esk62_2(X730,X731),esk63_2(X730,X731))
        | X730 = vvar(esk60_2(X730,X731))
        | ~ epred3_2(X731,X730) )
      & ( visValue(esk72_2(X730,X731))
        | X731 = vsomeExp(vapp(vabs(esk65_2(X730,X731),esk66_2(X730,X731),esk67_2(X730,X731)),vgetSomeExp(esk68_2(X730,X731))))
        | X730 = vabs(esk61_2(X730,X731),esk62_2(X730,X731),esk63_2(X730,X731))
        | X730 = vvar(esk60_2(X730,X731))
        | ~ epred3_2(X731,X730) )
      & ( X731 = vsomeExp(vsubst(esk71_2(X730,X731),esk72_2(X730,X731),esk73_2(X730,X731)))
        | X731 = vsomeExp(vapp(vabs(esk65_2(X730,X731),esk66_2(X730,X731),esk67_2(X730,X731)),vgetSomeExp(esk68_2(X730,X731))))
        | X730 = vabs(esk61_2(X730,X731),esk62_2(X730,X731),esk63_2(X730,X731))
        | X730 = vvar(esk60_2(X730,X731))
        | ~ epred3_2(X731,X730) )
      & ( X730 = vapp(vabs(esk71_2(X730,X731),esk69_2(X730,X731),esk73_2(X730,X731)),esk72_2(X730,X731))
        | X730 = vapp(vabs(esk65_2(X730,X731),esk66_2(X730,X731),esk67_2(X730,X731)),esk64_2(X730,X731))
        | X731 = vnoExp
        | X730 = vvar(esk60_2(X730,X731))
        | ~ epred3_2(X731,X730) )
      & ( esk70_2(X730,X731) = vreduce(esk72_2(X730,X731))
        | X730 = vapp(vabs(esk65_2(X730,X731),esk66_2(X730,X731),esk67_2(X730,X731)),esk64_2(X730,X731))
        | X731 = vnoExp
        | X730 = vvar(esk60_2(X730,X731))
        | ~ epred3_2(X731,X730) )
      & ( ~ visSomeExp(esk70_2(X730,X731))
        | X730 = vapp(vabs(esk65_2(X730,X731),esk66_2(X730,X731),esk67_2(X730,X731)),esk64_2(X730,X731))
        | X731 = vnoExp
        | X730 = vvar(esk60_2(X730,X731))
        | ~ epred3_2(X731,X730) )
      & ( visValue(esk72_2(X730,X731))
        | X730 = vapp(vabs(esk65_2(X730,X731),esk66_2(X730,X731),esk67_2(X730,X731)),esk64_2(X730,X731))
        | X731 = vnoExp
        | X730 = vvar(esk60_2(X730,X731))
        | ~ epred3_2(X731,X730) )
      & ( X731 = vsomeExp(vsubst(esk71_2(X730,X731),esk72_2(X730,X731),esk73_2(X730,X731)))
        | X730 = vapp(vabs(esk65_2(X730,X731),esk66_2(X730,X731),esk67_2(X730,X731)),esk64_2(X730,X731))
        | X731 = vnoExp
        | X730 = vvar(esk60_2(X730,X731))
        | ~ epred3_2(X731,X730) )
      & ( X730 = vapp(vabs(esk71_2(X730,X731),esk69_2(X730,X731),esk73_2(X730,X731)),esk72_2(X730,X731))
        | esk68_2(X730,X731) = vreduce(esk64_2(X730,X731))
        | X731 = vnoExp
        | X730 = vvar(esk60_2(X730,X731))
        | ~ epred3_2(X731,X730) )
      & ( esk70_2(X730,X731) = vreduce(esk72_2(X730,X731))
        | esk68_2(X730,X731) = vreduce(esk64_2(X730,X731))
        | X731 = vnoExp
        | X730 = vvar(esk60_2(X730,X731))
        | ~ epred3_2(X731,X730) )
      & ( ~ visSomeExp(esk70_2(X730,X731))
        | esk68_2(X730,X731) = vreduce(esk64_2(X730,X731))
        | X731 = vnoExp
        | X730 = vvar(esk60_2(X730,X731))
        | ~ epred3_2(X731,X730) )
      & ( visValue(esk72_2(X730,X731))
        | esk68_2(X730,X731) = vreduce(esk64_2(X730,X731))
        | X731 = vnoExp
        | X730 = vvar(esk60_2(X730,X731))
        | ~ epred3_2(X731,X730) )
      & ( X731 = vsomeExp(vsubst(esk71_2(X730,X731),esk72_2(X730,X731),esk73_2(X730,X731)))
        | esk68_2(X730,X731) = vreduce(esk64_2(X730,X731))
        | X731 = vnoExp
        | X730 = vvar(esk60_2(X730,X731))
        | ~ epred3_2(X731,X730) )
      & ( X730 = vapp(vabs(esk71_2(X730,X731),esk69_2(X730,X731),esk73_2(X730,X731)),esk72_2(X730,X731))
        | visSomeExp(esk68_2(X730,X731))
        | X731 = vnoExp
        | X730 = vvar(esk60_2(X730,X731))
        | ~ epred3_2(X731,X730) )
      & ( esk70_2(X730,X731) = vreduce(esk72_2(X730,X731))
        | visSomeExp(esk68_2(X730,X731))
        | X731 = vnoExp
        | X730 = vvar(esk60_2(X730,X731))
        | ~ epred3_2(X731,X730) )
      & ( ~ visSomeExp(esk70_2(X730,X731))
        | visSomeExp(esk68_2(X730,X731))
        | X731 = vnoExp
        | X730 = vvar(esk60_2(X730,X731))
        | ~ epred3_2(X731,X730) )
      & ( visValue(esk72_2(X730,X731))
        | visSomeExp(esk68_2(X730,X731))
        | X731 = vnoExp
        | X730 = vvar(esk60_2(X730,X731))
        | ~ epred3_2(X731,X730) )
      & ( X731 = vsomeExp(vsubst(esk71_2(X730,X731),esk72_2(X730,X731),esk73_2(X730,X731)))
        | visSomeExp(esk68_2(X730,X731))
        | X731 = vnoExp
        | X730 = vvar(esk60_2(X730,X731))
        | ~ epred3_2(X731,X730) )
      & ( X730 = vapp(vabs(esk71_2(X730,X731),esk69_2(X730,X731),esk73_2(X730,X731)),esk72_2(X730,X731))
        | X731 = vsomeExp(vapp(vabs(esk65_2(X730,X731),esk66_2(X730,X731),esk67_2(X730,X731)),vgetSomeExp(esk68_2(X730,X731))))
        | X731 = vnoExp
        | X730 = vvar(esk60_2(X730,X731))
        | ~ epred3_2(X731,X730) )
      & ( esk70_2(X730,X731) = vreduce(esk72_2(X730,X731))
        | X731 = vsomeExp(vapp(vabs(esk65_2(X730,X731),esk66_2(X730,X731),esk67_2(X730,X731)),vgetSomeExp(esk68_2(X730,X731))))
        | X731 = vnoExp
        | X730 = vvar(esk60_2(X730,X731))
        | ~ epred3_2(X731,X730) )
      & ( ~ visSomeExp(esk70_2(X730,X731))
        | X731 = vsomeExp(vapp(vabs(esk65_2(X730,X731),esk66_2(X730,X731),esk67_2(X730,X731)),vgetSomeExp(esk68_2(X730,X731))))
        | X731 = vnoExp
        | X730 = vvar(esk60_2(X730,X731))
        | ~ epred3_2(X731,X730) )
      & ( visValue(esk72_2(X730,X731))
        | X731 = vsomeExp(vapp(vabs(esk65_2(X730,X731),esk66_2(X730,X731),esk67_2(X730,X731)),vgetSomeExp(esk68_2(X730,X731))))
        | X731 = vnoExp
        | X730 = vvar(esk60_2(X730,X731))
        | ~ epred3_2(X731,X730) )
      & ( X731 = vsomeExp(vsubst(esk71_2(X730,X731),esk72_2(X730,X731),esk73_2(X730,X731)))
        | X731 = vsomeExp(vapp(vabs(esk65_2(X730,X731),esk66_2(X730,X731),esk67_2(X730,X731)),vgetSomeExp(esk68_2(X730,X731))))
        | X731 = vnoExp
        | X730 = vvar(esk60_2(X730,X731))
        | ~ epred3_2(X731,X730) )
      & ( X730 = vapp(vabs(esk71_2(X730,X731),esk69_2(X730,X731),esk73_2(X730,X731)),esk72_2(X730,X731))
        | X730 = vapp(vabs(esk65_2(X730,X731),esk66_2(X730,X731),esk67_2(X730,X731)),esk64_2(X730,X731))
        | X730 = vabs(esk61_2(X730,X731),esk62_2(X730,X731),esk63_2(X730,X731))
        | X731 = vnoExp
        | ~ epred3_2(X731,X730) )
      & ( esk70_2(X730,X731) = vreduce(esk72_2(X730,X731))
        | X730 = vapp(vabs(esk65_2(X730,X731),esk66_2(X730,X731),esk67_2(X730,X731)),esk64_2(X730,X731))
        | X730 = vabs(esk61_2(X730,X731),esk62_2(X730,X731),esk63_2(X730,X731))
        | X731 = vnoExp
        | ~ epred3_2(X731,X730) )
      & ( ~ visSomeExp(esk70_2(X730,X731))
        | X730 = vapp(vabs(esk65_2(X730,X731),esk66_2(X730,X731),esk67_2(X730,X731)),esk64_2(X730,X731))
        | X730 = vabs(esk61_2(X730,X731),esk62_2(X730,X731),esk63_2(X730,X731))
        | X731 = vnoExp
        | ~ epred3_2(X731,X730) )
      & ( visValue(esk72_2(X730,X731))
        | X730 = vapp(vabs(esk65_2(X730,X731),esk66_2(X730,X731),esk67_2(X730,X731)),esk64_2(X730,X731))
        | X730 = vabs(esk61_2(X730,X731),esk62_2(X730,X731),esk63_2(X730,X731))
        | X731 = vnoExp
        | ~ epred3_2(X731,X730) )
      & ( X731 = vsomeExp(vsubst(esk71_2(X730,X731),esk72_2(X730,X731),esk73_2(X730,X731)))
        | X730 = vapp(vabs(esk65_2(X730,X731),esk66_2(X730,X731),esk67_2(X730,X731)),esk64_2(X730,X731))
        | X730 = vabs(esk61_2(X730,X731),esk62_2(X730,X731),esk63_2(X730,X731))
        | X731 = vnoExp
        | ~ epred3_2(X731,X730) )
      & ( X730 = vapp(vabs(esk71_2(X730,X731),esk69_2(X730,X731),esk73_2(X730,X731)),esk72_2(X730,X731))
        | esk68_2(X730,X731) = vreduce(esk64_2(X730,X731))
        | X730 = vabs(esk61_2(X730,X731),esk62_2(X730,X731),esk63_2(X730,X731))
        | X731 = vnoExp
        | ~ epred3_2(X731,X730) )
      & ( esk70_2(X730,X731) = vreduce(esk72_2(X730,X731))
        | esk68_2(X730,X731) = vreduce(esk64_2(X730,X731))
        | X730 = vabs(esk61_2(X730,X731),esk62_2(X730,X731),esk63_2(X730,X731))
        | X731 = vnoExp
        | ~ epred3_2(X731,X730) )
      & ( ~ visSomeExp(esk70_2(X730,X731))
        | esk68_2(X730,X731) = vreduce(esk64_2(X730,X731))
        | X730 = vabs(esk61_2(X730,X731),esk62_2(X730,X731),esk63_2(X730,X731))
        | X731 = vnoExp
        | ~ epred3_2(X731,X730) )
      & ( visValue(esk72_2(X730,X731))
        | esk68_2(X730,X731) = vreduce(esk64_2(X730,X731))
        | X730 = vabs(esk61_2(X730,X731),esk62_2(X730,X731),esk63_2(X730,X731))
        | X731 = vnoExp
        | ~ epred3_2(X731,X730) )
      & ( X731 = vsomeExp(vsubst(esk71_2(X730,X731),esk72_2(X730,X731),esk73_2(X730,X731)))
        | esk68_2(X730,X731) = vreduce(esk64_2(X730,X731))
        | X730 = vabs(esk61_2(X730,X731),esk62_2(X730,X731),esk63_2(X730,X731))
        | X731 = vnoExp
        | ~ epred3_2(X731,X730) )
      & ( X730 = vapp(vabs(esk71_2(X730,X731),esk69_2(X730,X731),esk73_2(X730,X731)),esk72_2(X730,X731))
        | visSomeExp(esk68_2(X730,X731))
        | X730 = vabs(esk61_2(X730,X731),esk62_2(X730,X731),esk63_2(X730,X731))
        | X731 = vnoExp
        | ~ epred3_2(X731,X730) )
      & ( esk70_2(X730,X731) = vreduce(esk72_2(X730,X731))
        | visSomeExp(esk68_2(X730,X731))
        | X730 = vabs(esk61_2(X730,X731),esk62_2(X730,X731),esk63_2(X730,X731))
        | X731 = vnoExp
        | ~ epred3_2(X731,X730) )
      & ( ~ visSomeExp(esk70_2(X730,X731))
        | visSomeExp(esk68_2(X730,X731))
        | X730 = vabs(esk61_2(X730,X731),esk62_2(X730,X731),esk63_2(X730,X731))
        | X731 = vnoExp
        | ~ epred3_2(X731,X730) )
      & ( visValue(esk72_2(X730,X731))
        | visSomeExp(esk68_2(X730,X731))
        | X730 = vabs(esk61_2(X730,X731),esk62_2(X730,X731),esk63_2(X730,X731))
        | X731 = vnoExp
        | ~ epred3_2(X731,X730) )
      & ( X731 = vsomeExp(vsubst(esk71_2(X730,X731),esk72_2(X730,X731),esk73_2(X730,X731)))
        | visSomeExp(esk68_2(X730,X731))
        | X730 = vabs(esk61_2(X730,X731),esk62_2(X730,X731),esk63_2(X730,X731))
        | X731 = vnoExp
        | ~ epred3_2(X731,X730) )
      & ( X730 = vapp(vabs(esk71_2(X730,X731),esk69_2(X730,X731),esk73_2(X730,X731)),esk72_2(X730,X731))
        | X731 = vsomeExp(vapp(vabs(esk65_2(X730,X731),esk66_2(X730,X731),esk67_2(X730,X731)),vgetSomeExp(esk68_2(X730,X731))))
        | X730 = vabs(esk61_2(X730,X731),esk62_2(X730,X731),esk63_2(X730,X731))
        | X731 = vnoExp
        | ~ epred3_2(X731,X730) )
      & ( esk70_2(X730,X731) = vreduce(esk72_2(X730,X731))
        | X731 = vsomeExp(vapp(vabs(esk65_2(X730,X731),esk66_2(X730,X731),esk67_2(X730,X731)),vgetSomeExp(esk68_2(X730,X731))))
        | X730 = vabs(esk61_2(X730,X731),esk62_2(X730,X731),esk63_2(X730,X731))
        | X731 = vnoExp
        | ~ epred3_2(X731,X730) )
      & ( ~ visSomeExp(esk70_2(X730,X731))
        | X731 = vsomeExp(vapp(vabs(esk65_2(X730,X731),esk66_2(X730,X731),esk67_2(X730,X731)),vgetSomeExp(esk68_2(X730,X731))))
        | X730 = vabs(esk61_2(X730,X731),esk62_2(X730,X731),esk63_2(X730,X731))
        | X731 = vnoExp
        | ~ epred3_2(X731,X730) )
      & ( visValue(esk72_2(X730,X731))
        | X731 = vsomeExp(vapp(vabs(esk65_2(X730,X731),esk66_2(X730,X731),esk67_2(X730,X731)),vgetSomeExp(esk68_2(X730,X731))))
        | X730 = vabs(esk61_2(X730,X731),esk62_2(X730,X731),esk63_2(X730,X731))
        | X731 = vnoExp
        | ~ epred3_2(X731,X730) )
      & ( X731 = vsomeExp(vsubst(esk71_2(X730,X731),esk72_2(X730,X731),esk73_2(X730,X731)))
        | X731 = vsomeExp(vapp(vabs(esk65_2(X730,X731),esk66_2(X730,X731),esk67_2(X730,X731)),vgetSomeExp(esk68_2(X730,X731))))
        | X730 = vabs(esk61_2(X730,X731),esk62_2(X730,X731),esk63_2(X730,X731))
        | X731 = vnoExp
        | ~ epred3_2(X731,X730) )
      & ( X730 = vapp(vabs(esk71_2(X730,X731),esk69_2(X730,X731),esk73_2(X730,X731)),esk72_2(X730,X731))
        | X730 = vapp(vabs(esk65_2(X730,X731),esk66_2(X730,X731),esk67_2(X730,X731)),esk64_2(X730,X731))
        | X731 = vnoExp
        | X731 = vnoExp
        | ~ epred3_2(X731,X730) )
      & ( esk70_2(X730,X731) = vreduce(esk72_2(X730,X731))
        | X730 = vapp(vabs(esk65_2(X730,X731),esk66_2(X730,X731),esk67_2(X730,X731)),esk64_2(X730,X731))
        | X731 = vnoExp
        | X731 = vnoExp
        | ~ epred3_2(X731,X730) )
      & ( ~ visSomeExp(esk70_2(X730,X731))
        | X730 = vapp(vabs(esk65_2(X730,X731),esk66_2(X730,X731),esk67_2(X730,X731)),esk64_2(X730,X731))
        | X731 = vnoExp
        | X731 = vnoExp
        | ~ epred3_2(X731,X730) )
      & ( visValue(esk72_2(X730,X731))
        | X730 = vapp(vabs(esk65_2(X730,X731),esk66_2(X730,X731),esk67_2(X730,X731)),esk64_2(X730,X731))
        | X731 = vnoExp
        | X731 = vnoExp
        | ~ epred3_2(X731,X730) )
      & ( X731 = vsomeExp(vsubst(esk71_2(X730,X731),esk72_2(X730,X731),esk73_2(X730,X731)))
        | X730 = vapp(vabs(esk65_2(X730,X731),esk66_2(X730,X731),esk67_2(X730,X731)),esk64_2(X730,X731))
        | X731 = vnoExp
        | X731 = vnoExp
        | ~ epred3_2(X731,X730) )
      & ( X730 = vapp(vabs(esk71_2(X730,X731),esk69_2(X730,X731),esk73_2(X730,X731)),esk72_2(X730,X731))
        | esk68_2(X730,X731) = vreduce(esk64_2(X730,X731))
        | X731 = vnoExp
        | X731 = vnoExp
        | ~ epred3_2(X731,X730) )
      & ( esk70_2(X730,X731) = vreduce(esk72_2(X730,X731))
        | esk68_2(X730,X731) = vreduce(esk64_2(X730,X731))
        | X731 = vnoExp
        | X731 = vnoExp
        | ~ epred3_2(X731,X730) )
      & ( ~ visSomeExp(esk70_2(X730,X731))
        | esk68_2(X730,X731) = vreduce(esk64_2(X730,X731))
        | X731 = vnoExp
        | X731 = vnoExp
        | ~ epred3_2(X731,X730) )
      & ( visValue(esk72_2(X730,X731))
        | esk68_2(X730,X731) = vreduce(esk64_2(X730,X731))
        | X731 = vnoExp
        | X731 = vnoExp
        | ~ epred3_2(X731,X730) )
      & ( X731 = vsomeExp(vsubst(esk71_2(X730,X731),esk72_2(X730,X731),esk73_2(X730,X731)))
        | esk68_2(X730,X731) = vreduce(esk64_2(X730,X731))
        | X731 = vnoExp
        | X731 = vnoExp
        | ~ epred3_2(X731,X730) )
      & ( X730 = vapp(vabs(esk71_2(X730,X731),esk69_2(X730,X731),esk73_2(X730,X731)),esk72_2(X730,X731))
        | visSomeExp(esk68_2(X730,X731))
        | X731 = vnoExp
        | X731 = vnoExp
        | ~ epred3_2(X731,X730) )
      & ( esk70_2(X730,X731) = vreduce(esk72_2(X730,X731))
        | visSomeExp(esk68_2(X730,X731))
        | X731 = vnoExp
        | X731 = vnoExp
        | ~ epred3_2(X731,X730) )
      & ( ~ visSomeExp(esk70_2(X730,X731))
        | visSomeExp(esk68_2(X730,X731))
        | X731 = vnoExp
        | X731 = vnoExp
        | ~ epred3_2(X731,X730) )
      & ( visValue(esk72_2(X730,X731))
        | visSomeExp(esk68_2(X730,X731))
        | X731 = vnoExp
        | X731 = vnoExp
        | ~ epred3_2(X731,X730) )
      & ( X731 = vsomeExp(vsubst(esk71_2(X730,X731),esk72_2(X730,X731),esk73_2(X730,X731)))
        | visSomeExp(esk68_2(X730,X731))
        | X731 = vnoExp
        | X731 = vnoExp
        | ~ epred3_2(X731,X730) )
      & ( X730 = vapp(vabs(esk71_2(X730,X731),esk69_2(X730,X731),esk73_2(X730,X731)),esk72_2(X730,X731))
        | X731 = vsomeExp(vapp(vabs(esk65_2(X730,X731),esk66_2(X730,X731),esk67_2(X730,X731)),vgetSomeExp(esk68_2(X730,X731))))
        | X731 = vnoExp
        | X731 = vnoExp
        | ~ epred3_2(X731,X730) )
      & ( esk70_2(X730,X731) = vreduce(esk72_2(X730,X731))
        | X731 = vsomeExp(vapp(vabs(esk65_2(X730,X731),esk66_2(X730,X731),esk67_2(X730,X731)),vgetSomeExp(esk68_2(X730,X731))))
        | X731 = vnoExp
        | X731 = vnoExp
        | ~ epred3_2(X731,X730) )
      & ( ~ visSomeExp(esk70_2(X730,X731))
        | X731 = vsomeExp(vapp(vabs(esk65_2(X730,X731),esk66_2(X730,X731),esk67_2(X730,X731)),vgetSomeExp(esk68_2(X730,X731))))
        | X731 = vnoExp
        | X731 = vnoExp
        | ~ epred3_2(X731,X730) )
      & ( visValue(esk72_2(X730,X731))
        | X731 = vsomeExp(vapp(vabs(esk65_2(X730,X731),esk66_2(X730,X731),esk67_2(X730,X731)),vgetSomeExp(esk68_2(X730,X731))))
        | X731 = vnoExp
        | X731 = vnoExp
        | ~ epred3_2(X731,X730) )
      & ( X731 = vsomeExp(vsubst(esk71_2(X730,X731),esk72_2(X730,X731),esk73_2(X730,X731)))
        | X731 = vsomeExp(vapp(vabs(esk65_2(X730,X731),esk66_2(X730,X731),esk67_2(X730,X731)),vgetSomeExp(esk68_2(X730,X731))))
        | X731 = vnoExp
        | X731 = vnoExp
        | ~ epred3_2(X731,X730) ) ),
    inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_62])])])])]) ).

fof(i_0_69,plain,
    ! [X15,X20,X9,X11,X21,X10,X34] :
      ( ( X9 != X21
        & ~ visFreeVar(X21,X11)
        & vtcheck(X20,X11,X15)
        & vtcheck(vbind(X9,X15,X20),vabs(X21,X10,veabs),X34) )
     => vtcheck(X20,vsubst(X9,X11,vabs(X21,X10,veabs)),X34) ),
    inference(fof_simplification,[status(thm)],['T-subst-abs-2']) ).

fof(i_0_70,negated_conjecture,
    ~ ! [X15,X20,X9,X11,X21,X10,X34] :
        ( ( vtcheck(X20,X11,X15)
          & vtcheck(vbind(X9,X15,X20),vabs(X21,X10,veabs),X34) )
       => vtcheck(X20,vsubst(X9,X11,vabs(X21,X10,veabs)),X34) ),
    inference(assume_negation,[status(cth)],['T-subst-abs']) ).

fof(i_0_71,plain,
    ! [X4,X19] :
      ( epred4_2(X19,X4)
     => ( epred3_2(X19,X4)
        | ? [X9,X10,X12,X26,X13] :
            ( X4 = vapp(vabs(X9,X10,X12),X13)
            & X26 = vreduce(X13)
            & ~ visSomeExp(X26)
            & ~ visValue(X13)
            & X19 = vnoExp )
        | ? [X12,X27,X13] :
            ( X4 = vapp(X12,X13)
            & ! [X28,X29,X30] : X12 != vabs(X28,X29,X30)
            & X27 = vreduce(X12)
            & visSomeExp(X27)
            & X19 = vsomeExp(vapp(vgetSomeExp(X27),X13)) ) ) ),
    inference(apply_def,[status(thm)],[inference(split_equiv,[status(thm)],[i_0_63]),c_0_59]) ).

fof(i_0_72,plain,
    ! [X1,X4,X6,X19,X21,X15,X9,X11,X12] :
      ( ( X1 = X9
        & X4 = X11
        & X6 = vabs(X21,X15,X12) )
     => ( ( X9 != X21
          & ~ visFreeVar(X21,X11) )
       => ( X19 = vsubst(X1,X4,X6)
         => X19 = vabs(X21,X15,vsubst(X9,X11,X12)) ) ) ),
    inference(fof_simplification,[status(thm)],[subst5]) ).

fof(i_0_73,plain,
    ! [X10,X26,X4,X19,X9,X13,X12] :
      ( X4 = vapp(vabs(X9,X10,X12),X13)
     => ( ( X26 = vreduce(X13)
          & ~ visSomeExp(X26)
          & visValue(X13) )
       => ( X19 = vreduce(X4)
         => X19 = vsomeExp(vsubst(X9,X13,X12)) ) ) ),
    inference(fof_simplification,[status(thm)],[reduce3]) ).

fof(i_0_74,plain,
    ! [X9,X10,X20,X11,X15] :
      ( ( ~ visFreeVar(X9,X11)
        & vtcheck(vbind(X9,X10,X20),X11,X15) )
     => vtcheck(X20,X11,X15) ),
    inference(fof_simplification,[status(thm)],['T-Strong']) ).

fof(i_0_75,plain,
    ! [X9,X10,X20,X11,X15] :
      ( ( ~ visFreeVar(X9,X11)
        & vtcheck(X20,X11,X15) )
     => vtcheck(vbind(X9,X10,X20),X11,X15) ),
    inference(fof_simplification,[status(thm)],['T-Weak-FreeVar']) ).

fof(i_0_76,plain,
    ! [X9,X10,X12,X26,X13,X4,X19] :
      ( X4 = vapp(vabs(X9,X10,X12),X13)
     => ( ( X26 = vreduce(X13)
          & ~ visSomeExp(X26)
          & ~ visValue(X13) )
       => ( X19 = vreduce(X4)
         => X19 = vnoExp ) ) ),
    inference(fof_simplification,[status(thm)],[reduce4]) ).

fof(i_0_77,plain,
    ! [X4,X19] :
      ( vreduce(X4) = X19
     => ( epred4_2(X19,X4)
        | ? [X13,X12,X27] :
            ( X4 = vapp(X12,X13)
            & ! [X28,X29,X30] : X12 != vabs(X28,X29,X30)
            & X27 = vreduce(X12)
            & ~ visSomeExp(X27)
            & X19 = vnoExp ) ) ),
    inference(apply_def,[status(thm)],[inference(fof_simplification,[status(thm)],['reduce-INV']),c_0_63]) ).

fof(i_0_78,plain,
    ! [X12,X13,X4] :
      ( X4 = vapp(X12,X13)
     => ~ visValue(X4) ),
    inference(fof_simplification,[status(thm)],[isValue2]) ).

fof(i_0_79,plain,
    ! [X14,X11] :
      ( vgensym(X11) = X14
     => ~ visFreeVar(X14,X11) ),
    inference(fof_simplification,[status(thm)],['gensym-is-fresh']) ).

fof(i_0_80,plain,
    ! [X9,X4] :
      ( X4 = vvar(X9)
     => ~ visValue(X4) ),
    inference(fof_simplification,[status(thm)],[isValue1]) ).

fof(i_0_81,plain,
    ! [X25] :
      ( X25 = vnoExp
     => ~ visSomeExp(X25) ),
    inference(fof_simplification,[status(thm)],[isSomeExp0]) ).

fof(i_0_82,plain,
    ! [X18] :
      ( X18 = vnoType
     => ~ visSomeType(X18) ),
    inference(fof_simplification,[status(thm)],[isSomeType0]) ).

fof(i_0_83,plain,
    ! [X711,X712,X713,X714] :
      ( ( X711 = esk54_4(X711,X712,X713,X714)
        | X711 = esk50_4(X711,X712,X713,X714)
        | X711 = esk46_4(X711,X712,X713,X714)
        | epred1_4(X714,X713,X712,X711)
        | ~ epred2_4(X714,X713,X712,X711) )
      & ( X712 = esk55_4(X711,X712,X713,X714)
        | X711 = esk50_4(X711,X712,X713,X714)
        | X711 = esk46_4(X711,X712,X713,X714)
        | epred1_4(X714,X713,X712,X711)
        | ~ epred2_4(X714,X713,X712,X711) )
      & ( X713 = vabs(esk57_4(X711,X712,X713,X714),esk56_4(X711,X712,X713,X714),esk59_4(X711,X712,X713,X714))
        | X711 = esk50_4(X711,X712,X713,X714)
        | X711 = esk46_4(X711,X712,X713,X714)
        | epred1_4(X714,X713,X712,X711)
        | ~ epred2_4(X714,X713,X712,X711) )
      & ( esk54_4(X711,X712,X713,X714) != esk57_4(X711,X712,X713,X714)
        | X711 = esk50_4(X711,X712,X713,X714)
        | X711 = esk46_4(X711,X712,X713,X714)
        | epred1_4(X714,X713,X712,X711)
        | ~ epred2_4(X714,X713,X712,X711) )
      & ( visFreeVar(esk57_4(X711,X712,X713,X714),esk55_4(X711,X712,X713,X714))
        | X711 = esk50_4(X711,X712,X713,X714)
        | X711 = esk46_4(X711,X712,X713,X714)
        | epred1_4(X714,X713,X712,X711)
        | ~ epred2_4(X714,X713,X712,X711) )
      & ( esk58_4(X711,X712,X713,X714) = vgensym(vapp(vapp(esk55_4(X711,X712,X713,X714),esk59_4(X711,X712,X713,X714)),vvar(esk54_4(X711,X712,X713,X714))))
        | X711 = esk50_4(X711,X712,X713,X714)
        | X711 = esk46_4(X711,X712,X713,X714)
        | epred1_4(X714,X713,X712,X711)
        | ~ epred2_4(X714,X713,X712,X711) )
      & ( X714 = vsubst(esk54_4(X711,X712,X713,X714),esk55_4(X711,X712,X713,X714),vabs(esk58_4(X711,X712,X713,X714),esk56_4(X711,X712,X713,X714),vsubst(esk57_4(X711,X712,X713,X714),vvar(esk58_4(X711,X712,X713,X714)),esk59_4(X711,X712,X713,X714))))
        | X711 = esk50_4(X711,X712,X713,X714)
        | X711 = esk46_4(X711,X712,X713,X714)
        | epred1_4(X714,X713,X712,X711)
        | ~ epred2_4(X714,X713,X712,X711) )
      & ( X711 = esk54_4(X711,X712,X713,X714)
        | X712 = esk49_4(X711,X712,X713,X714)
        | X711 = esk46_4(X711,X712,X713,X714)
        | epred1_4(X714,X713,X712,X711)
        | ~ epred2_4(X714,X713,X712,X711) )
      & ( X712 = esk55_4(X711,X712,X713,X714)
        | X712 = esk49_4(X711,X712,X713,X714)
        | X711 = esk46_4(X711,X712,X713,X714)
        | epred1_4(X714,X713,X712,X711)
        | ~ epred2_4(X714,X713,X712,X711) )
      & ( X713 = vabs(esk57_4(X711,X712,X713,X714),esk56_4(X711,X712,X713,X714),esk59_4(X711,X712,X713,X714))
        | X712 = esk49_4(X711,X712,X713,X714)
        | X711 = esk46_4(X711,X712,X713,X714)
        | epred1_4(X714,X713,X712,X711)
        | ~ epred2_4(X714,X713,X712,X711) )
      & ( esk54_4(X711,X712,X713,X714) != esk57_4(X711,X712,X713,X714)
        | X712 = esk49_4(X711,X712,X713,X714)
        | X711 = esk46_4(X711,X712,X713,X714)
        | epred1_4(X714,X713,X712,X711)
        | ~ epred2_4(X714,X713,X712,X711) )
      & ( visFreeVar(esk57_4(X711,X712,X713,X714),esk55_4(X711,X712,X713,X714))
        | X712 = esk49_4(X711,X712,X713,X714)
        | X711 = esk46_4(X711,X712,X713,X714)
        | epred1_4(X714,X713,X712,X711)
        | ~ epred2_4(X714,X713,X712,X711) )
      & ( esk58_4(X711,X712,X713,X714) = vgensym(vapp(vapp(esk55_4(X711,X712,X713,X714),esk59_4(X711,X712,X713,X714)),vvar(esk54_4(X711,X712,X713,X714))))
        | X712 = esk49_4(X711,X712,X713,X714)
        | X711 = esk46_4(X711,X712,X713,X714)
        | epred1_4(X714,X713,X712,X711)
        | ~ epred2_4(X714,X713,X712,X711) )
      & ( X714 = vsubst(esk54_4(X711,X712,X713,X714),esk55_4(X711,X712,X713,X714),vabs(esk58_4(X711,X712,X713,X714),esk56_4(X711,X712,X713,X714),vsubst(esk57_4(X711,X712,X713,X714),vvar(esk58_4(X711,X712,X713,X714)),esk59_4(X711,X712,X713,X714))))
        | X712 = esk49_4(X711,X712,X713,X714)
        | X711 = esk46_4(X711,X712,X713,X714)
        | epred1_4(X714,X713,X712,X711)
        | ~ epred2_4(X714,X713,X712,X711) )
      & ( X711 = esk54_4(X711,X712,X713,X714)
        | X713 = vabs(esk51_4(X711,X712,X713,X714),esk52_4(X711,X712,X713,X714),esk53_4(X711,X712,X713,X714))
        | X711 = esk46_4(X711,X712,X713,X714)
        | epred1_4(X714,X713,X712,X711)
        | ~ epred2_4(X714,X713,X712,X711) )
      & ( X712 = esk55_4(X711,X712,X713,X714)
        | X713 = vabs(esk51_4(X711,X712,X713,X714),esk52_4(X711,X712,X713,X714),esk53_4(X711,X712,X713,X714))
        | X711 = esk46_4(X711,X712,X713,X714)
        | epred1_4(X714,X713,X712,X711)
        | ~ epred2_4(X714,X713,X712,X711) )
      & ( X713 = vabs(esk57_4(X711,X712,X713,X714),esk56_4(X711,X712,X713,X714),esk59_4(X711,X712,X713,X714))
        | X713 = vabs(esk51_4(X711,X712,X713,X714),esk52_4(X711,X712,X713,X714),esk53_4(X711,X712,X713,X714))
        | X711 = esk46_4(X711,X712,X713,X714)
        | epred1_4(X714,X713,X712,X711)
        | ~ epred2_4(X714,X713,X712,X711) )
      & ( esk54_4(X711,X712,X713,X714) != esk57_4(X711,X712,X713,X714)
        | X713 = vabs(esk51_4(X711,X712,X713,X714),esk52_4(X711,X712,X713,X714),esk53_4(X711,X712,X713,X714))
        | X711 = esk46_4(X711,X712,X713,X714)
        | epred1_4(X714,X713,X712,X711)
        | ~ epred2_4(X714,X713,X712,X711) )
      & ( visFreeVar(esk57_4(X711,X712,X713,X714),esk55_4(X711,X712,X713,X714))
        | X713 = vabs(esk51_4(X711,X712,X713,X714),esk52_4(X711,X712,X713,X714),esk53_4(X711,X712,X713,X714))
        | X711 = esk46_4(X711,X712,X713,X714)
        | epred1_4(X714,X713,X712,X711)
        | ~ epred2_4(X714,X713,X712,X711) )
      & ( esk58_4(X711,X712,X713,X714) = vgensym(vapp(vapp(esk55_4(X711,X712,X713,X714),esk59_4(X711,X712,X713,X714)),vvar(esk54_4(X711,X712,X713,X714))))
        | X713 = vabs(esk51_4(X711,X712,X713,X714),esk52_4(X711,X712,X713,X714),esk53_4(X711,X712,X713,X714))
        | X711 = esk46_4(X711,X712,X713,X714)
        | epred1_4(X714,X713,X712,X711)
        | ~ epred2_4(X714,X713,X712,X711) )
      & ( X714 = vsubst(esk54_4(X711,X712,X713,X714),esk55_4(X711,X712,X713,X714),vabs(esk58_4(X711,X712,X713,X714),esk56_4(X711,X712,X713,X714),vsubst(esk57_4(X711,X712,X713,X714),vvar(esk58_4(X711,X712,X713,X714)),esk59_4(X711,X712,X713,X714))))
        | X713 = vabs(esk51_4(X711,X712,X713,X714),esk52_4(X711,X712,X713,X714),esk53_4(X711,X712,X713,X714))
        | X711 = esk46_4(X711,X712,X713,X714)
        | epred1_4(X714,X713,X712,X711)
        | ~ epred2_4(X714,X713,X712,X711) )
      & ( X711 = esk54_4(X711,X712,X713,X714)
        | esk50_4(X711,X712,X713,X714) = esk51_4(X711,X712,X713,X714)
        | X711 = esk46_4(X711,X712,X713,X714)
        | epred1_4(X714,X713,X712,X711)
        | ~ epred2_4(X714,X713,X712,X711) )
      & ( X712 = esk55_4(X711,X712,X713,X714)
        | esk50_4(X711,X712,X713,X714) = esk51_4(X711,X712,X713,X714)
        | X711 = esk46_4(X711,X712,X713,X714)
        | epred1_4(X714,X713,X712,X711)
        | ~ epred2_4(X714,X713,X712,X711) )
      & ( X713 = vabs(esk57_4(X711,X712,X713,X714),esk56_4(X711,X712,X713,X714),esk59_4(X711,X712,X713,X714))
        | esk50_4(X711,X712,X713,X714) = esk51_4(X711,X712,X713,X714)
        | X711 = esk46_4(X711,X712,X713,X714)
        | epred1_4(X714,X713,X712,X711)
        | ~ epred2_4(X714,X713,X712,X711) )
      & ( esk54_4(X711,X712,X713,X714) != esk57_4(X711,X712,X713,X714)
        | esk50_4(X711,X712,X713,X714) = esk51_4(X711,X712,X713,X714)
        | X711 = esk46_4(X711,X712,X713,X714)
        | epred1_4(X714,X713,X712,X711)
        | ~ epred2_4(X714,X713,X712,X711) )
      & ( visFreeVar(esk57_4(X711,X712,X713,X714),esk55_4(X711,X712,X713,X714))
        | esk50_4(X711,X712,X713,X714) = esk51_4(X711,X712,X713,X714)
        | X711 = esk46_4(X711,X712,X713,X714)
        | epred1_4(X714,X713,X712,X711)
        | ~ epred2_4(X714,X713,X712,X711) )
      & ( esk58_4(X711,X712,X713,X714) = vgensym(vapp(vapp(esk55_4(X711,X712,X713,X714),esk59_4(X711,X712,X713,X714)),vvar(esk54_4(X711,X712,X713,X714))))
        | esk50_4(X711,X712,X713,X714) = esk51_4(X711,X712,X713,X714)
        | X711 = esk46_4(X711,X712,X713,X714)
        | epred1_4(X714,X713,X712,X711)
        | ~ epred2_4(X714,X713,X712,X711) )
      & ( X714 = vsubst(esk54_4(X711,X712,X713,X714),esk55_4(X711,X712,X713,X714),vabs(esk58_4(X711,X712,X713,X714),esk56_4(X711,X712,X713,X714),vsubst(esk57_4(X711,X712,X713,X714),vvar(esk58_4(X711,X712,X713,X714)),esk59_4(X711,X712,X713,X714))))
        | esk50_4(X711,X712,X713,X714) = esk51_4(X711,X712,X713,X714)
        | X711 = esk46_4(X711,X712,X713,X714)
        | epred1_4(X714,X713,X712,X711)
        | ~ epred2_4(X714,X713,X712,X711) )
      & ( X711 = esk54_4(X711,X712,X713,X714)
        | X714 = vabs(esk51_4(X711,X712,X713,X714),esk52_4(X711,X712,X713,X714),esk53_4(X711,X712,X713,X714))
        | X711 = esk46_4(X711,X712,X713,X714)
        | epred1_4(X714,X713,X712,X711)
        | ~ epred2_4(X714,X713,X712,X711) )
      & ( X712 = esk55_4(X711,X712,X713,X714)
        | X714 = vabs(esk51_4(X711,X712,X713,X714),esk52_4(X711,X712,X713,X714),esk53_4(X711,X712,X713,X714))
        | X711 = esk46_4(X711,X712,X713,X714)
        | epred1_4(X714,X713,X712,X711)
        | ~ epred2_4(X714,X713,X712,X711) )
      & ( X713 = vabs(esk57_4(X711,X712,X713,X714),esk56_4(X711,X712,X713,X714),esk59_4(X711,X712,X713,X714))
        | X714 = vabs(esk51_4(X711,X712,X713,X714),esk52_4(X711,X712,X713,X714),esk53_4(X711,X712,X713,X714))
        | X711 = esk46_4(X711,X712,X713,X714)
        | epred1_4(X714,X713,X712,X711)
        | ~ epred2_4(X714,X713,X712,X711) )
      & ( esk54_4(X711,X712,X713,X714) != esk57_4(X711,X712,X713,X714)
        | X714 = vabs(esk51_4(X711,X712,X713,X714),esk52_4(X711,X712,X713,X714),esk53_4(X711,X712,X713,X714))
        | X711 = esk46_4(X711,X712,X713,X714)
        | epred1_4(X714,X713,X712,X711)
        | ~ epred2_4(X714,X713,X712,X711) )
      & ( visFreeVar(esk57_4(X711,X712,X713,X714),esk55_4(X711,X712,X713,X714))
        | X714 = vabs(esk51_4(X711,X712,X713,X714),esk52_4(X711,X712,X713,X714),esk53_4(X711,X712,X713,X714))
        | X711 = esk46_4(X711,X712,X713,X714)
        | epred1_4(X714,X713,X712,X711)
        | ~ epred2_4(X714,X713,X712,X711) )
      & ( esk58_4(X711,X712,X713,X714) = vgensym(vapp(vapp(esk55_4(X711,X712,X713,X714),esk59_4(X711,X712,X713,X714)),vvar(esk54_4(X711,X712,X713,X714))))
        | X714 = vabs(esk51_4(X711,X712,X713,X714),esk52_4(X711,X712,X713,X714),esk53_4(X711,X712,X713,X714))
        | X711 = esk46_4(X711,X712,X713,X714)
        | epred1_4(X714,X713,X712,X711)
        | ~ epred2_4(X714,X713,X712,X711) )
      & ( X714 = vsubst(esk54_4(X711,X712,X713,X714),esk55_4(X711,X712,X713,X714),vabs(esk58_4(X711,X712,X713,X714),esk56_4(X711,X712,X713,X714),vsubst(esk57_4(X711,X712,X713,X714),vvar(esk58_4(X711,X712,X713,X714)),esk59_4(X711,X712,X713,X714))))
        | X714 = vabs(esk51_4(X711,X712,X713,X714),esk52_4(X711,X712,X713,X714),esk53_4(X711,X712,X713,X714))
        | X711 = esk46_4(X711,X712,X713,X714)
        | epred1_4(X714,X713,X712,X711)
        | ~ epred2_4(X714,X713,X712,X711) )
      & ( X711 = esk54_4(X711,X712,X713,X714)
        | X711 = esk50_4(X711,X712,X713,X714)
        | X712 = esk47_4(X711,X712,X713,X714)
        | epred1_4(X714,X713,X712,X711)
        | ~ epred2_4(X714,X713,X712,X711) )
      & ( X712 = esk55_4(X711,X712,X713,X714)
        | X711 = esk50_4(X711,X712,X713,X714)
        | X712 = esk47_4(X711,X712,X713,X714)
        | epred1_4(X714,X713,X712,X711)
        | ~ epred2_4(X714,X713,X712,X711) )
      & ( X713 = vabs(esk57_4(X711,X712,X713,X714),esk56_4(X711,X712,X713,X714),esk59_4(X711,X712,X713,X714))
        | X711 = esk50_4(X711,X712,X713,X714)
        | X712 = esk47_4(X711,X712,X713,X714)
        | epred1_4(X714,X713,X712,X711)
        | ~ epred2_4(X714,X713,X712,X711) )
      & ( esk54_4(X711,X712,X713,X714) != esk57_4(X711,X712,X713,X714)
        | X711 = esk50_4(X711,X712,X713,X714)
        | X712 = esk47_4(X711,X712,X713,X714)
        | epred1_4(X714,X713,X712,X711)
        | ~ epred2_4(X714,X713,X712,X711) )
      & ( visFreeVar(esk57_4(X711,X712,X713,X714),esk55_4(X711,X712,X713,X714))
        | X711 = esk50_4(X711,X712,X713,X714)
        | X712 = esk47_4(X711,X712,X713,X714)
        | epred1_4(X714,X713,X712,X711)
        | ~ epred2_4(X714,X713,X712,X711) )
      & ( esk58_4(X711,X712,X713,X714) = vgensym(vapp(vapp(esk55_4(X711,X712,X713,X714),esk59_4(X711,X712,X713,X714)),vvar(esk54_4(X711,X712,X713,X714))))
        | X711 = esk50_4(X711,X712,X713,X714)
        | X712 = esk47_4(X711,X712,X713,X714)
        | epred1_4(X714,X713,X712,X711)
        | ~ epred2_4(X714,X713,X712,X711) )
      & ( X714 = vsubst(esk54_4(X711,X712,X713,X714),esk55_4(X711,X712,X713,X714),vabs(esk58_4(X711,X712,X713,X714),esk56_4(X711,X712,X713,X714),vsubst(esk57_4(X711,X712,X713,X714),vvar(esk58_4(X711,X712,X713,X714)),esk59_4(X711,X712,X713,X714))))
        | X711 = esk50_4(X711,X712,X713,X714)
        | X712 = esk47_4(X711,X712,X713,X714)
        | epred1_4(X714,X713,X712,X711)
        | ~ epred2_4(X714,X713,X712,X711) )
      & ( X711 = esk54_4(X711,X712,X713,X714)
        | X712 = esk49_4(X711,X712,X713,X714)
        | X712 = esk47_4(X711,X712,X713,X714)
        | epred1_4(X714,X713,X712,X711)
        | ~ epred2_4(X714,X713,X712,X711) )
      & ( X712 = esk55_4(X711,X712,X713,X714)
        | X712 = esk49_4(X711,X712,X713,X714)
        | X712 = esk47_4(X711,X712,X713,X714)
        | epred1_4(X714,X713,X712,X711)
        | ~ epred2_4(X714,X713,X712,X711) )
      & ( X713 = vabs(esk57_4(X711,X712,X713,X714),esk56_4(X711,X712,X713,X714),esk59_4(X711,X712,X713,X714))
        | X712 = esk49_4(X711,X712,X713,X714)
        | X712 = esk47_4(X711,X712,X713,X714)
        | epred1_4(X714,X713,X712,X711)
        | ~ epred2_4(X714,X713,X712,X711) )
      & ( esk54_4(X711,X712,X713,X714) != esk57_4(X711,X712,X713,X714)
        | X712 = esk49_4(X711,X712,X713,X714)
        | X712 = esk47_4(X711,X712,X713,X714)
        | epred1_4(X714,X713,X712,X711)
        | ~ epred2_4(X714,X713,X712,X711) )
      & ( visFreeVar(esk57_4(X711,X712,X713,X714),esk55_4(X711,X712,X713,X714))
        | X712 = esk49_4(X711,X712,X713,X714)
        | X712 = esk47_4(X711,X712,X713,X714)
        | epred1_4(X714,X713,X712,X711)
        | ~ epred2_4(X714,X713,X712,X711) )
      & ( esk58_4(X711,X712,X713,X714) = vgensym(vapp(vapp(esk55_4(X711,X712,X713,X714),esk59_4(X711,X712,X713,X714)),vvar(esk54_4(X711,X712,X713,X714))))
        | X712 = esk49_4(X711,X712,X713,X714)
        | X712 = esk47_4(X711,X712,X713,X714)
        | epred1_4(X714,X713,X712,X711)
        | ~ epred2_4(X714,X713,X712,X711) )
      & ( X714 = vsubst(esk54_4(X711,X712,X713,X714),esk55_4(X711,X712,X713,X714),vabs(esk58_4(X711,X712,X713,X714),esk56_4(X711,X712,X713,X714),vsubst(esk57_4(X711,X712,X713,X714),vvar(esk58_4(X711,X712,X713,X714)),esk59_4(X711,X712,X713,X714))))
        | X712 = esk49_4(X711,X712,X713,X714)
        | X712 = esk47_4(X711,X712,X713,X714)
        | epred1_4(X714,X713,X712,X711)
        | ~ epred2_4(X714,X713,X712,X711) )
      & ( X711 = esk54_4(X711,X712,X713,X714)
        | X713 = vabs(esk51_4(X711,X712,X713,X714),esk52_4(X711,X712,X713,X714),esk53_4(X711,X712,X713,X714))
        | X712 = esk47_4(X711,X712,X713,X714)
        | epred1_4(X714,X713,X712,X711)
        | ~ epred2_4(X714,X713,X712,X711) )
      & ( X712 = esk55_4(X711,X712,X713,X714)
        | X713 = vabs(esk51_4(X711,X712,X713,X714),esk52_4(X711,X712,X713,X714),esk53_4(X711,X712,X713,X714))
        | X712 = esk47_4(X711,X712,X713,X714)
        | epred1_4(X714,X713,X712,X711)
        | ~ epred2_4(X714,X713,X712,X711) )
      & ( X713 = vabs(esk57_4(X711,X712,X713,X714),esk56_4(X711,X712,X713,X714),esk59_4(X711,X712,X713,X714))
        | X713 = vabs(esk51_4(X711,X712,X713,X714),esk52_4(X711,X712,X713,X714),esk53_4(X711,X712,X713,X714))
        | X712 = esk47_4(X711,X712,X713,X714)
        | epred1_4(X714,X713,X712,X711)
        | ~ epred2_4(X714,X713,X712,X711) )
      & ( esk54_4(X711,X712,X713,X714) != esk57_4(X711,X712,X713,X714)
        | X713 = vabs(esk51_4(X711,X712,X713,X714),esk52_4(X711,X712,X713,X714),esk53_4(X711,X712,X713,X714))
        | X712 = esk47_4(X711,X712,X713,X714)
        | epred1_4(X714,X713,X712,X711)
        | ~ epred2_4(X714,X713,X712,X711) )
      & ( visFreeVar(esk57_4(X711,X712,X713,X714),esk55_4(X711,X712,X713,X714))
        | X713 = vabs(esk51_4(X711,X712,X713,X714),esk52_4(X711,X712,X713,X714),esk53_4(X711,X712,X713,X714))
        | X712 = esk47_4(X711,X712,X713,X714)
        | epred1_4(X714,X713,X712,X711)
        | ~ epred2_4(X714,X713,X712,X711) )
      & ( esk58_4(X711,X712,X713,X714) = vgensym(vapp(vapp(esk55_4(X711,X712,X713,X714),esk59_4(X711,X712,X713,X714)),vvar(esk54_4(X711,X712,X713,X714))))
        | X713 = vabs(esk51_4(X711,X712,X713,X714),esk52_4(X711,X712,X713,X714),esk53_4(X711,X712,X713,X714))
        | X712 = esk47_4(X711,X712,X713,X714)
        | epred1_4(X714,X713,X712,X711)
        | ~ epred2_4(X714,X713,X712,X711) )
      & ( X714 = vsubst(esk54_4(X711,X712,X713,X714),esk55_4(X711,X712,X713,X714),vabs(esk58_4(X711,X712,X713,X714),esk56_4(X711,X712,X713,X714),vsubst(esk57_4(X711,X712,X713,X714),vvar(esk58_4(X711,X712,X713,X714)),esk59_4(X711,X712,X713,X714))))
        | X713 = vabs(esk51_4(X711,X712,X713,X714),esk52_4(X711,X712,X713,X714),esk53_4(X711,X712,X713,X714))
        | X712 = esk47_4(X711,X712,X713,X714)
        | epred1_4(X714,X713,X712,X711)
        | ~ epred2_4(X714,X713,X712,X711) )
      & ( X711 = esk54_4(X711,X712,X713,X714)
        | esk50_4(X711,X712,X713,X714) = esk51_4(X711,X712,X713,X714)
        | X712 = esk47_4(X711,X712,X713,X714)
        | epred1_4(X714,X713,X712,X711)
        | ~ epred2_4(X714,X713,X712,X711) )
      & ( X712 = esk55_4(X711,X712,X713,X714)
        | esk50_4(X711,X712,X713,X714) = esk51_4(X711,X712,X713,X714)
        | X712 = esk47_4(X711,X712,X713,X714)
        | epred1_4(X714,X713,X712,X711)
        | ~ epred2_4(X714,X713,X712,X711) )
      & ( X713 = vabs(esk57_4(X711,X712,X713,X714),esk56_4(X711,X712,X713,X714),esk59_4(X711,X712,X713,X714))
        | esk50_4(X711,X712,X713,X714) = esk51_4(X711,X712,X713,X714)
        | X712 = esk47_4(X711,X712,X713,X714)
        | epred1_4(X714,X713,X712,X711)
        | ~ epred2_4(X714,X713,X712,X711) )
      & ( esk54_4(X711,X712,X713,X714) != esk57_4(X711,X712,X713,X714)
        | esk50_4(X711,X712,X713,X714) = esk51_4(X711,X712,X713,X714)
        | X712 = esk47_4(X711,X712,X713,X714)
        | epred1_4(X714,X713,X712,X711)
        | ~ epred2_4(X714,X713,X712,X711) )
      & ( visFreeVar(esk57_4(X711,X712,X713,X714),esk55_4(X711,X712,X713,X714))
        | esk50_4(X711,X712,X713,X714) = esk51_4(X711,X712,X713,X714)
        | X712 = esk47_4(X711,X712,X713,X714)
        | epred1_4(X714,X713,X712,X711)
        | ~ epred2_4(X714,X713,X712,X711) )
      & ( esk58_4(X711,X712,X713,X714) = vgensym(vapp(vapp(esk55_4(X711,X712,X713,X714),esk59_4(X711,X712,X713,X714)),vvar(esk54_4(X711,X712,X713,X714))))
        | esk50_4(X711,X712,X713,X714) = esk51_4(X711,X712,X713,X714)
        | X712 = esk47_4(X711,X712,X713,X714)
        | epred1_4(X714,X713,X712,X711)
        | ~ epred2_4(X714,X713,X712,X711) )
      & ( X714 = vsubst(esk54_4(X711,X712,X713,X714),esk55_4(X711,X712,X713,X714),vabs(esk58_4(X711,X712,X713,X714),esk56_4(X711,X712,X713,X714),vsubst(esk57_4(X711,X712,X713,X714),vvar(esk58_4(X711,X712,X713,X714)),esk59_4(X711,X712,X713,X714))))
        | esk50_4(X711,X712,X713,X714) = esk51_4(X711,X712,X713,X714)
        | X712 = esk47_4(X711,X712,X713,X714)
        | epred1_4(X714,X713,X712,X711)
        | ~ epred2_4(X714,X713,X712,X711) )
      & ( X711 = esk54_4(X711,X712,X713,X714)
        | X714 = vabs(esk51_4(X711,X712,X713,X714),esk52_4(X711,X712,X713,X714),esk53_4(X711,X712,X713,X714))
        | X712 = esk47_4(X711,X712,X713,X714)
        | epred1_4(X714,X713,X712,X711)
        | ~ epred2_4(X714,X713,X712,X711) )
      & ( X712 = esk55_4(X711,X712,X713,X714)
        | X714 = vabs(esk51_4(X711,X712,X713,X714),esk52_4(X711,X712,X713,X714),esk53_4(X711,X712,X713,X714))
        | X712 = esk47_4(X711,X712,X713,X714)
        | epred1_4(X714,X713,X712,X711)
        | ~ epred2_4(X714,X713,X712,X711) )
      & ( X713 = vabs(esk57_4(X711,X712,X713,X714),esk56_4(X711,X712,X713,X714),esk59_4(X711,X712,X713,X714))
        | X714 = vabs(esk51_4(X711,X712,X713,X714),esk52_4(X711,X712,X713,X714),esk53_4(X711,X712,X713,X714))
        | X712 = esk47_4(X711,X712,X713,X714)
        | epred1_4(X714,X713,X712,X711)
        | ~ epred2_4(X714,X713,X712,X711) )
      & ( esk54_4(X711,X712,X713,X714) != esk57_4(X711,X712,X713,X714)
        | X714 = vabs(esk51_4(X711,X712,X713,X714),esk52_4(X711,X712,X713,X714),esk53_4(X711,X712,X713,X714))
        | X712 = esk47_4(X711,X712,X713,X714)
        | epred1_4(X714,X713,X712,X711)
        | ~ epred2_4(X714,X713,X712,X711) )
      & ( visFreeVar(esk57_4(X711,X712,X713,X714),esk55_4(X711,X712,X713,X714))
        | X714 = vabs(esk51_4(X711,X712,X713,X714),esk52_4(X711,X712,X713,X714),esk53_4(X711,X712,X713,X714))
        | X712 = esk47_4(X711,X712,X713,X714)
        | epred1_4(X714,X713,X712,X711)
        | ~ epred2_4(X714,X713,X712,X711) )
      & ( esk58_4(X711,X712,X713,X714) = vgensym(vapp(vapp(esk55_4(X711,X712,X713,X714),esk59_4(X711,X712,X713,X714)),vvar(esk54_4(X711,X712,X713,X714))))
        | X714 = vabs(esk51_4(X711,X712,X713,X714),esk52_4(X711,X712,X713,X714),esk53_4(X711,X712,X713,X714))
        | X712 = esk47_4(X711,X712,X713,X714)
        | epred1_4(X714,X713,X712,X711)
        | ~ epred2_4(X714,X713,X712,X711) )
      & ( X714 = vsubst(esk54_4(X711,X712,X713,X714),esk55_4(X711,X712,X713,X714),vabs(esk58_4(X711,X712,X713,X714),esk56_4(X711,X712,X713,X714),vsubst(esk57_4(X711,X712,X713,X714),vvar(esk58_4(X711,X712,X713,X714)),esk59_4(X711,X712,X713,X714))))
        | X714 = vabs(esk51_4(X711,X712,X713,X714),esk52_4(X711,X712,X713,X714),esk53_4(X711,X712,X713,X714))
        | X712 = esk47_4(X711,X712,X713,X714)
        | epred1_4(X714,X713,X712,X711)
        | ~ epred2_4(X714,X713,X712,X711) )
      & ( X711 = esk54_4(X711,X712,X713,X714)
        | X711 = esk50_4(X711,X712,X713,X714)
        | X713 = vapp(esk45_4(X711,X712,X713,X714),esk48_4(X711,X712,X713,X714))
        | epred1_4(X714,X713,X712,X711)
        | ~ epred2_4(X714,X713,X712,X711) )
      & ( X712 = esk55_4(X711,X712,X713,X714)
        | X711 = esk50_4(X711,X712,X713,X714)
        | X713 = vapp(esk45_4(X711,X712,X713,X714),esk48_4(X711,X712,X713,X714))
        | epred1_4(X714,X713,X712,X711)
        | ~ epred2_4(X714,X713,X712,X711) )
      & ( X713 = vabs(esk57_4(X711,X712,X713,X714),esk56_4(X711,X712,X713,X714),esk59_4(X711,X712,X713,X714))
        | X711 = esk50_4(X711,X712,X713,X714)
        | X713 = vapp(esk45_4(X711,X712,X713,X714),esk48_4(X711,X712,X713,X714))
        | epred1_4(X714,X713,X712,X711)
        | ~ epred2_4(X714,X713,X712,X711) )
      & ( esk54_4(X711,X712,X713,X714) != esk57_4(X711,X712,X713,X714)
        | X711 = esk50_4(X711,X712,X713,X714)
        | X713 = vapp(esk45_4(X711,X712,X713,X714),esk48_4(X711,X712,X713,X714))
        | epred1_4(X714,X713,X712,X711)
        | ~ epred2_4(X714,X713,X712,X711) )
      & ( visFreeVar(esk57_4(X711,X712,X713,X714),esk55_4(X711,X712,X713,X714))
        | X711 = esk50_4(X711,X712,X713,X714)
        | X713 = vapp(esk45_4(X711,X712,X713,X714),esk48_4(X711,X712,X713,X714))
        | epred1_4(X714,X713,X712,X711)
        | ~ epred2_4(X714,X713,X712,X711) )
      & ( esk58_4(X711,X712,X713,X714) = vgensym(vapp(vapp(esk55_4(X711,X712,X713,X714),esk59_4(X711,X712,X713,X714)),vvar(esk54_4(X711,X712,X713,X714))))
        | X711 = esk50_4(X711,X712,X713,X714)
        | X713 = vapp(esk45_4(X711,X712,X713,X714),esk48_4(X711,X712,X713,X714))
        | epred1_4(X714,X713,X712,X711)
        | ~ epred2_4(X714,X713,X712,X711) )
      & ( X714 = vsubst(esk54_4(X711,X712,X713,X714),esk55_4(X711,X712,X713,X714),vabs(esk58_4(X711,X712,X713,X714),esk56_4(X711,X712,X713,X714),vsubst(esk57_4(X711,X712,X713,X714),vvar(esk58_4(X711,X712,X713,X714)),esk59_4(X711,X712,X713,X714))))
        | X711 = esk50_4(X711,X712,X713,X714)
        | X713 = vapp(esk45_4(X711,X712,X713,X714),esk48_4(X711,X712,X713,X714))
        | epred1_4(X714,X713,X712,X711)
        | ~ epred2_4(X714,X713,X712,X711) )
      & ( X711 = esk54_4(X711,X712,X713,X714)
        | X712 = esk49_4(X711,X712,X713,X714)
        | X713 = vapp(esk45_4(X711,X712,X713,X714),esk48_4(X711,X712,X713,X714))
        | epred1_4(X714,X713,X712,X711)
        | ~ epred2_4(X714,X713,X712,X711) )
      & ( X712 = esk55_4(X711,X712,X713,X714)
        | X712 = esk49_4(X711,X712,X713,X714)
        | X713 = vapp(esk45_4(X711,X712,X713,X714),esk48_4(X711,X712,X713,X714))
        | epred1_4(X714,X713,X712,X711)
        | ~ epred2_4(X714,X713,X712,X711) )
      & ( X713 = vabs(esk57_4(X711,X712,X713,X714),esk56_4(X711,X712,X713,X714),esk59_4(X711,X712,X713,X714))
        | X712 = esk49_4(X711,X712,X713,X714)
        | X713 = vapp(esk45_4(X711,X712,X713,X714),esk48_4(X711,X712,X713,X714))
        | epred1_4(X714,X713,X712,X711)
        | ~ epred2_4(X714,X713,X712,X711) )
      & ( esk54_4(X711,X712,X713,X714) != esk57_4(X711,X712,X713,X714)
        | X712 = esk49_4(X711,X712,X713,X714)
        | X713 = vapp(esk45_4(X711,X712,X713,X714),esk48_4(X711,X712,X713,X714))
        | epred1_4(X714,X713,X712,X711)
        | ~ epred2_4(X714,X713,X712,X711) )
      & ( visFreeVar(esk57_4(X711,X712,X713,X714),esk55_4(X711,X712,X713,X714))
        | X712 = esk49_4(X711,X712,X713,X714)
        | X713 = vapp(esk45_4(X711,X712,X713,X714),esk48_4(X711,X712,X713,X714))
        | epred1_4(X714,X713,X712,X711)
        | ~ epred2_4(X714,X713,X712,X711) )
      & ( esk58_4(X711,X712,X713,X714) = vgensym(vapp(vapp(esk55_4(X711,X712,X713,X714),esk59_4(X711,X712,X713,X714)),vvar(esk54_4(X711,X712,X713,X714))))
        | X712 = esk49_4(X711,X712,X713,X714)
        | X713 = vapp(esk45_4(X711,X712,X713,X714),esk48_4(X711,X712,X713,X714))
        | epred1_4(X714,X713,X712,X711)
        | ~ epred2_4(X714,X713,X712,X711) )
      & ( X714 = vsubst(esk54_4(X711,X712,X713,X714),esk55_4(X711,X712,X713,X714),vabs(esk58_4(X711,X712,X713,X714),esk56_4(X711,X712,X713,X714),vsubst(esk57_4(X711,X712,X713,X714),vvar(esk58_4(X711,X712,X713,X714)),esk59_4(X711,X712,X713,X714))))
        | X712 = esk49_4(X711,X712,X713,X714)
        | X713 = vapp(esk45_4(X711,X712,X713,X714),esk48_4(X711,X712,X713,X714))
        | epred1_4(X714,X713,X712,X711)
        | ~ epred2_4(X714,X713,X712,X711) )
      & ( X711 = esk54_4(X711,X712,X713,X714)
        | X713 = vabs(esk51_4(X711,X712,X713,X714),esk52_4(X711,X712,X713,X714),esk53_4(X711,X712,X713,X714))
        | X713 = vapp(esk45_4(X711,X712,X713,X714),esk48_4(X711,X712,X713,X714))
        | epred1_4(X714,X713,X712,X711)
        | ~ epred2_4(X714,X713,X712,X711) )
      & ( X712 = esk55_4(X711,X712,X713,X714)
        | X713 = vabs(esk51_4(X711,X712,X713,X714),esk52_4(X711,X712,X713,X714),esk53_4(X711,X712,X713,X714))
        | X713 = vapp(esk45_4(X711,X712,X713,X714),esk48_4(X711,X712,X713,X714))
        | epred1_4(X714,X713,X712,X711)
        | ~ epred2_4(X714,X713,X712,X711) )
      & ( X713 = vabs(esk57_4(X711,X712,X713,X714),esk56_4(X711,X712,X713,X714),esk59_4(X711,X712,X713,X714))
        | X713 = vabs(esk51_4(X711,X712,X713,X714),esk52_4(X711,X712,X713,X714),esk53_4(X711,X712,X713,X714))
        | X713 = vapp(esk45_4(X711,X712,X713,X714),esk48_4(X711,X712,X713,X714))
        | epred1_4(X714,X713,X712,X711)
        | ~ epred2_4(X714,X713,X712,X711) )
      & ( esk54_4(X711,X712,X713,X714) != esk57_4(X711,X712,X713,X714)
        | X713 = vabs(esk51_4(X711,X712,X713,X714),esk52_4(X711,X712,X713,X714),esk53_4(X711,X712,X713,X714))
        | X713 = vapp(esk45_4(X711,X712,X713,X714),esk48_4(X711,X712,X713,X714))
        | epred1_4(X714,X713,X712,X711)
        | ~ epred2_4(X714,X713,X712,X711) )
      & ( visFreeVar(esk57_4(X711,X712,X713,X714),esk55_4(X711,X712,X713,X714))
        | X713 = vabs(esk51_4(X711,X712,X713,X714),esk52_4(X711,X712,X713,X714),esk53_4(X711,X712,X713,X714))
        | X713 = vapp(esk45_4(X711,X712,X713,X714),esk48_4(X711,X712,X713,X714))
        | epred1_4(X714,X713,X712,X711)
        | ~ epred2_4(X714,X713,X712,X711) )
      & ( esk58_4(X711,X712,X713,X714) = vgensym(vapp(vapp(esk55_4(X711,X712,X713,X714),esk59_4(X711,X712,X713,X714)),vvar(esk54_4(X711,X712,X713,X714))))
        | X713 = vabs(esk51_4(X711,X712,X713,X714),esk52_4(X711,X712,X713,X714),esk53_4(X711,X712,X713,X714))
        | X713 = vapp(esk45_4(X711,X712,X713,X714),esk48_4(X711,X712,X713,X714))
        | epred1_4(X714,X713,X712,X711)
        | ~ epred2_4(X714,X713,X712,X711) )
      & ( X714 = vsubst(esk54_4(X711,X712,X713,X714),esk55_4(X711,X712,X713,X714),vabs(esk58_4(X711,X712,X713,X714),esk56_4(X711,X712,X713,X714),vsubst(esk57_4(X711,X712,X713,X714),vvar(esk58_4(X711,X712,X713,X714)),esk59_4(X711,X712,X713,X714))))
        | X713 = vabs(esk51_4(X711,X712,X713,X714),esk52_4(X711,X712,X713,X714),esk53_4(X711,X712,X713,X714))
        | X713 = vapp(esk45_4(X711,X712,X713,X714),esk48_4(X711,X712,X713,X714))
        | epred1_4(X714,X713,X712,X711)
        | ~ epred2_4(X714,X713,X712,X711) )
      & ( X711 = esk54_4(X711,X712,X713,X714)
        | esk50_4(X711,X712,X713,X714) = esk51_4(X711,X712,X713,X714)
        | X713 = vapp(esk45_4(X711,X712,X713,X714),esk48_4(X711,X712,X713,X714))
        | epred1_4(X714,X713,X712,X711)
        | ~ epred2_4(X714,X713,X712,X711) )
      & ( X712 = esk55_4(X711,X712,X713,X714)
        | esk50_4(X711,X712,X713,X714) = esk51_4(X711,X712,X713,X714)
        | X713 = vapp(esk45_4(X711,X712,X713,X714),esk48_4(X711,X712,X713,X714))
        | epred1_4(X714,X713,X712,X711)
        | ~ epred2_4(X714,X713,X712,X711) )
      & ( X713 = vabs(esk57_4(X711,X712,X713,X714),esk56_4(X711,X712,X713,X714),esk59_4(X711,X712,X713,X714))
        | esk50_4(X711,X712,X713,X714) = esk51_4(X711,X712,X713,X714)
        | X713 = vapp(esk45_4(X711,X712,X713,X714),esk48_4(X711,X712,X713,X714))
        | epred1_4(X714,X713,X712,X711)
        | ~ epred2_4(X714,X713,X712,X711) )
      & ( esk54_4(X711,X712,X713,X714) != esk57_4(X711,X712,X713,X714)
        | esk50_4(X711,X712,X713,X714) = esk51_4(X711,X712,X713,X714)
        | X713 = vapp(esk45_4(X711,X712,X713,X714),esk48_4(X711,X712,X713,X714))
        | epred1_4(X714,X713,X712,X711)
        | ~ epred2_4(X714,X713,X712,X711) )
      & ( visFreeVar(esk57_4(X711,X712,X713,X714),esk55_4(X711,X712,X713,X714))
        | esk50_4(X711,X712,X713,X714) = esk51_4(X711,X712,X713,X714)
        | X713 = vapp(esk45_4(X711,X712,X713,X714),esk48_4(X711,X712,X713,X714))
        | epred1_4(X714,X713,X712,X711)
        | ~ epred2_4(X714,X713,X712,X711) )
      & ( esk58_4(X711,X712,X713,X714) = vgensym(vapp(vapp(esk55_4(X711,X712,X713,X714),esk59_4(X711,X712,X713,X714)),vvar(esk54_4(X711,X712,X713,X714))))
        | esk50_4(X711,X712,X713,X714) = esk51_4(X711,X712,X713,X714)
        | X713 = vapp(esk45_4(X711,X712,X713,X714),esk48_4(X711,X712,X713,X714))
        | epred1_4(X714,X713,X712,X711)
        | ~ epred2_4(X714,X713,X712,X711) )
      & ( X714 = vsubst(esk54_4(X711,X712,X713,X714),esk55_4(X711,X712,X713,X714),vabs(esk58_4(X711,X712,X713,X714),esk56_4(X711,X712,X713,X714),vsubst(esk57_4(X711,X712,X713,X714),vvar(esk58_4(X711,X712,X713,X714)),esk59_4(X711,X712,X713,X714))))
        | esk50_4(X711,X712,X713,X714) = esk51_4(X711,X712,X713,X714)
        | X713 = vapp(esk45_4(X711,X712,X713,X714),esk48_4(X711,X712,X713,X714))
        | epred1_4(X714,X713,X712,X711)
        | ~ epred2_4(X714,X713,X712,X711) )
      & ( X711 = esk54_4(X711,X712,X713,X714)
        | X714 = vabs(esk51_4(X711,X712,X713,X714),esk52_4(X711,X712,X713,X714),esk53_4(X711,X712,X713,X714))
        | X713 = vapp(esk45_4(X711,X712,X713,X714),esk48_4(X711,X712,X713,X714))
        | epred1_4(X714,X713,X712,X711)
        | ~ epred2_4(X714,X713,X712,X711) )
      & ( X712 = esk55_4(X711,X712,X713,X714)
        | X714 = vabs(esk51_4(X711,X712,X713,X714),esk52_4(X711,X712,X713,X714),esk53_4(X711,X712,X713,X714))
        | X713 = vapp(esk45_4(X711,X712,X713,X714),esk48_4(X711,X712,X713,X714))
        | epred1_4(X714,X713,X712,X711)
        | ~ epred2_4(X714,X713,X712,X711) )
      & ( X713 = vabs(esk57_4(X711,X712,X713,X714),esk56_4(X711,X712,X713,X714),esk59_4(X711,X712,X713,X714))
        | X714 = vabs(esk51_4(X711,X712,X713,X714),esk52_4(X711,X712,X713,X714),esk53_4(X711,X712,X713,X714))
        | X713 = vapp(esk45_4(X711,X712,X713,X714),esk48_4(X711,X712,X713,X714))
        | epred1_4(X714,X713,X712,X711)
        | ~ epred2_4(X714,X713,X712,X711) )
      & ( esk54_4(X711,X712,X713,X714) != esk57_4(X711,X712,X713,X714)
        | X714 = vabs(esk51_4(X711,X712,X713,X714),esk52_4(X711,X712,X713,X714),esk53_4(X711,X712,X713,X714))
        | X713 = vapp(esk45_4(X711,X712,X713,X714),esk48_4(X711,X712,X713,X714))
        | epred1_4(X714,X713,X712,X711)
        | ~ epred2_4(X714,X713,X712,X711) )
      & ( visFreeVar(esk57_4(X711,X712,X713,X714),esk55_4(X711,X712,X713,X714))
        | X714 = vabs(esk51_4(X711,X712,X713,X714),esk52_4(X711,X712,X713,X714),esk53_4(X711,X712,X713,X714))
        | X713 = vapp(esk45_4(X711,X712,X713,X714),esk48_4(X711,X712,X713,X714))
        | epred1_4(X714,X713,X712,X711)
        | ~ epred2_4(X714,X713,X712,X711) )
      & ( esk58_4(X711,X712,X713,X714) = vgensym(vapp(vapp(esk55_4(X711,X712,X713,X714),esk59_4(X711,X712,X713,X714)),vvar(esk54_4(X711,X712,X713,X714))))
        | X714 = vabs(esk51_4(X711,X712,X713,X714),esk52_4(X711,X712,X713,X714),esk53_4(X711,X712,X713,X714))
        | X713 = vapp(esk45_4(X711,X712,X713,X714),esk48_4(X711,X712,X713,X714))
        | epred1_4(X714,X713,X712,X711)
        | ~ epred2_4(X714,X713,X712,X711) )
      & ( X714 = vsubst(esk54_4(X711,X712,X713,X714),esk55_4(X711,X712,X713,X714),vabs(esk58_4(X711,X712,X713,X714),esk56_4(X711,X712,X713,X714),vsubst(esk57_4(X711,X712,X713,X714),vvar(esk58_4(X711,X712,X713,X714)),esk59_4(X711,X712,X713,X714))))
        | X714 = vabs(esk51_4(X711,X712,X713,X714),esk52_4(X711,X712,X713,X714),esk53_4(X711,X712,X713,X714))
        | X713 = vapp(esk45_4(X711,X712,X713,X714),esk48_4(X711,X712,X713,X714))
        | epred1_4(X714,X713,X712,X711)
        | ~ epred2_4(X714,X713,X712,X711) )
      & ( X711 = esk54_4(X711,X712,X713,X714)
        | X711 = esk50_4(X711,X712,X713,X714)
        | X714 = vapp(vsubst(esk46_4(X711,X712,X713,X714),esk47_4(X711,X712,X713,X714),esk45_4(X711,X712,X713,X714)),vsubst(esk46_4(X711,X712,X713,X714),esk47_4(X711,X712,X713,X714),esk48_4(X711,X712,X713,X714)))
        | epred1_4(X714,X713,X712,X711)
        | ~ epred2_4(X714,X713,X712,X711) )
      & ( X712 = esk55_4(X711,X712,X713,X714)
        | X711 = esk50_4(X711,X712,X713,X714)
        | X714 = vapp(vsubst(esk46_4(X711,X712,X713,X714),esk47_4(X711,X712,X713,X714),esk45_4(X711,X712,X713,X714)),vsubst(esk46_4(X711,X712,X713,X714),esk47_4(X711,X712,X713,X714),esk48_4(X711,X712,X713,X714)))
        | epred1_4(X714,X713,X712,X711)
        | ~ epred2_4(X714,X713,X712,X711) )
      & ( X713 = vabs(esk57_4(X711,X712,X713,X714),esk56_4(X711,X712,X713,X714),esk59_4(X711,X712,X713,X714))
        | X711 = esk50_4(X711,X712,X713,X714)
        | X714 = vapp(vsubst(esk46_4(X711,X712,X713,X714),esk47_4(X711,X712,X713,X714),esk45_4(X711,X712,X713,X714)),vsubst(esk46_4(X711,X712,X713,X714),esk47_4(X711,X712,X713,X714),esk48_4(X711,X712,X713,X714)))
        | epred1_4(X714,X713,X712,X711)
        | ~ epred2_4(X714,X713,X712,X711) )
      & ( esk54_4(X711,X712,X713,X714) != esk57_4(X711,X712,X713,X714)
        | X711 = esk50_4(X711,X712,X713,X714)
        | X714 = vapp(vsubst(esk46_4(X711,X712,X713,X714),esk47_4(X711,X712,X713,X714),esk45_4(X711,X712,X713,X714)),vsubst(esk46_4(X711,X712,X713,X714),esk47_4(X711,X712,X713,X714),esk48_4(X711,X712,X713,X714)))
        | epred1_4(X714,X713,X712,X711)
        | ~ epred2_4(X714,X713,X712,X711) )
      & ( visFreeVar(esk57_4(X711,X712,X713,X714),esk55_4(X711,X712,X713,X714))
        | X711 = esk50_4(X711,X712,X713,X714)
        | X714 = vapp(vsubst(esk46_4(X711,X712,X713,X714),esk47_4(X711,X712,X713,X714),esk45_4(X711,X712,X713,X714)),vsubst(esk46_4(X711,X712,X713,X714),esk47_4(X711,X712,X713,X714),esk48_4(X711,X712,X713,X714)))
        | epred1_4(X714,X713,X712,X711)
        | ~ epred2_4(X714,X713,X712,X711) )
      & ( esk58_4(X711,X712,X713,X714) = vgensym(vapp(vapp(esk55_4(X711,X712,X713,X714),esk59_4(X711,X712,X713,X714)),vvar(esk54_4(X711,X712,X713,X714))))
        | X711 = esk50_4(X711,X712,X713,X714)
        | X714 = vapp(vsubst(esk46_4(X711,X712,X713,X714),esk47_4(X711,X712,X713,X714),esk45_4(X711,X712,X713,X714)),vsubst(esk46_4(X711,X712,X713,X714),esk47_4(X711,X712,X713,X714),esk48_4(X711,X712,X713,X714)))
        | epred1_4(X714,X713,X712,X711)
        | ~ epred2_4(X714,X713,X712,X711) )
      & ( X714 = vsubst(esk54_4(X711,X712,X713,X714),esk55_4(X711,X712,X713,X714),vabs(esk58_4(X711,X712,X713,X714),esk56_4(X711,X712,X713,X714),vsubst(esk57_4(X711,X712,X713,X714),vvar(esk58_4(X711,X712,X713,X714)),esk59_4(X711,X712,X713,X714))))
        | X711 = esk50_4(X711,X712,X713,X714)
        | X714 = vapp(vsubst(esk46_4(X711,X712,X713,X714),esk47_4(X711,X712,X713,X714),esk45_4(X711,X712,X713,X714)),vsubst(esk46_4(X711,X712,X713,X714),esk47_4(X711,X712,X713,X714),esk48_4(X711,X712,X713,X714)))
        | epred1_4(X714,X713,X712,X711)
        | ~ epred2_4(X714,X713,X712,X711) )
      & ( X711 = esk54_4(X711,X712,X713,X714)
        | X712 = esk49_4(X711,X712,X713,X714)
        | X714 = vapp(vsubst(esk46_4(X711,X712,X713,X714),esk47_4(X711,X712,X713,X714),esk45_4(X711,X712,X713,X714)),vsubst(esk46_4(X711,X712,X713,X714),esk47_4(X711,X712,X713,X714),esk48_4(X711,X712,X713,X714)))
        | epred1_4(X714,X713,X712,X711)
        | ~ epred2_4(X714,X713,X712,X711) )
      & ( X712 = esk55_4(X711,X712,X713,X714)
        | X712 = esk49_4(X711,X712,X713,X714)
        | X714 = vapp(vsubst(esk46_4(X711,X712,X713,X714),esk47_4(X711,X712,X713,X714),esk45_4(X711,X712,X713,X714)),vsubst(esk46_4(X711,X712,X713,X714),esk47_4(X711,X712,X713,X714),esk48_4(X711,X712,X713,X714)))
        | epred1_4(X714,X713,X712,X711)
        | ~ epred2_4(X714,X713,X712,X711) )
      & ( X713 = vabs(esk57_4(X711,X712,X713,X714),esk56_4(X711,X712,X713,X714),esk59_4(X711,X712,X713,X714))
        | X712 = esk49_4(X711,X712,X713,X714)
        | X714 = vapp(vsubst(esk46_4(X711,X712,X713,X714),esk47_4(X711,X712,X713,X714),esk45_4(X711,X712,X713,X714)),vsubst(esk46_4(X711,X712,X713,X714),esk47_4(X711,X712,X713,X714),esk48_4(X711,X712,X713,X714)))
        | epred1_4(X714,X713,X712,X711)
        | ~ epred2_4(X714,X713,X712,X711) )
      & ( esk54_4(X711,X712,X713,X714) != esk57_4(X711,X712,X713,X714)
        | X712 = esk49_4(X711,X712,X713,X714)
        | X714 = vapp(vsubst(esk46_4(X711,X712,X713,X714),esk47_4(X711,X712,X713,X714),esk45_4(X711,X712,X713,X714)),vsubst(esk46_4(X711,X712,X713,X714),esk47_4(X711,X712,X713,X714),esk48_4(X711,X712,X713,X714)))
        | epred1_4(X714,X713,X712,X711)
        | ~ epred2_4(X714,X713,X712,X711) )
      & ( visFreeVar(esk57_4(X711,X712,X713,X714),esk55_4(X711,X712,X713,X714))
        | X712 = esk49_4(X711,X712,X713,X714)
        | X714 = vapp(vsubst(esk46_4(X711,X712,X713,X714),esk47_4(X711,X712,X713,X714),esk45_4(X711,X712,X713,X714)),vsubst(esk46_4(X711,X712,X713,X714),esk47_4(X711,X712,X713,X714),esk48_4(X711,X712,X713,X714)))
        | epred1_4(X714,X713,X712,X711)
        | ~ epred2_4(X714,X713,X712,X711) )
      & ( esk58_4(X711,X712,X713,X714) = vgensym(vapp(vapp(esk55_4(X711,X712,X713,X714),esk59_4(X711,X712,X713,X714)),vvar(esk54_4(X711,X712,X713,X714))))
        | X712 = esk49_4(X711,X712,X713,X714)
        | X714 = vapp(vsubst(esk46_4(X711,X712,X713,X714),esk47_4(X711,X712,X713,X714),esk45_4(X711,X712,X713,X714)),vsubst(esk46_4(X711,X712,X713,X714),esk47_4(X711,X712,X713,X714),esk48_4(X711,X712,X713,X714)))
        | epred1_4(X714,X713,X712,X711)
        | ~ epred2_4(X714,X713,X712,X711) )
      & ( X714 = vsubst(esk54_4(X711,X712,X713,X714),esk55_4(X711,X712,X713,X714),vabs(esk58_4(X711,X712,X713,X714),esk56_4(X711,X712,X713,X714),vsubst(esk57_4(X711,X712,X713,X714),vvar(esk58_4(X711,X712,X713,X714)),esk59_4(X711,X712,X713,X714))))
        | X712 = esk49_4(X711,X712,X713,X714)
        | X714 = vapp(vsubst(esk46_4(X711,X712,X713,X714),esk47_4(X711,X712,X713,X714),esk45_4(X711,X712,X713,X714)),vsubst(esk46_4(X711,X712,X713,X714),esk47_4(X711,X712,X713,X714),esk48_4(X711,X712,X713,X714)))
        | epred1_4(X714,X713,X712,X711)
        | ~ epred2_4(X714,X713,X712,X711) )
      & ( X711 = esk54_4(X711,X712,X713,X714)
        | X713 = vabs(esk51_4(X711,X712,X713,X714),esk52_4(X711,X712,X713,X714),esk53_4(X711,X712,X713,X714))
        | X714 = vapp(vsubst(esk46_4(X711,X712,X713,X714),esk47_4(X711,X712,X713,X714),esk45_4(X711,X712,X713,X714)),vsubst(esk46_4(X711,X712,X713,X714),esk47_4(X711,X712,X713,X714),esk48_4(X711,X712,X713,X714)))
        | epred1_4(X714,X713,X712,X711)
        | ~ epred2_4(X714,X713,X712,X711) )
      & ( X712 = esk55_4(X711,X712,X713,X714)
        | X713 = vabs(esk51_4(X711,X712,X713,X714),esk52_4(X711,X712,X713,X714),esk53_4(X711,X712,X713,X714))
        | X714 = vapp(vsubst(esk46_4(X711,X712,X713,X714),esk47_4(X711,X712,X713,X714),esk45_4(X711,X712,X713,X714)),vsubst(esk46_4(X711,X712,X713,X714),esk47_4(X711,X712,X713,X714),esk48_4(X711,X712,X713,X714)))
        | epred1_4(X714,X713,X712,X711)
        | ~ epred2_4(X714,X713,X712,X711) )
      & ( X713 = vabs(esk57_4(X711,X712,X713,X714),esk56_4(X711,X712,X713,X714),esk59_4(X711,X712,X713,X714))
        | X713 = vabs(esk51_4(X711,X712,X713,X714),esk52_4(X711,X712,X713,X714),esk53_4(X711,X712,X713,X714))
        | X714 = vapp(vsubst(esk46_4(X711,X712,X713,X714),esk47_4(X711,X712,X713,X714),esk45_4(X711,X712,X713,X714)),vsubst(esk46_4(X711,X712,X713,X714),esk47_4(X711,X712,X713,X714),esk48_4(X711,X712,X713,X714)))
        | epred1_4(X714,X713,X712,X711)
        | ~ epred2_4(X714,X713,X712,X711) )
      & ( esk54_4(X711,X712,X713,X714) != esk57_4(X711,X712,X713,X714)
        | X713 = vabs(esk51_4(X711,X712,X713,X714),esk52_4(X711,X712,X713,X714),esk53_4(X711,X712,X713,X714))
        | X714 = vapp(vsubst(esk46_4(X711,X712,X713,X714),esk47_4(X711,X712,X713,X714),esk45_4(X711,X712,X713,X714)),vsubst(esk46_4(X711,X712,X713,X714),esk47_4(X711,X712,X713,X714),esk48_4(X711,X712,X713,X714)))
        | epred1_4(X714,X713,X712,X711)
        | ~ epred2_4(X714,X713,X712,X711) )
      & ( visFreeVar(esk57_4(X711,X712,X713,X714),esk55_4(X711,X712,X713,X714))
        | X713 = vabs(esk51_4(X711,X712,X713,X714),esk52_4(X711,X712,X713,X714),esk53_4(X711,X712,X713,X714))
        | X714 = vapp(vsubst(esk46_4(X711,X712,X713,X714),esk47_4(X711,X712,X713,X714),esk45_4(X711,X712,X713,X714)),vsubst(esk46_4(X711,X712,X713,X714),esk47_4(X711,X712,X713,X714),esk48_4(X711,X712,X713,X714)))
        | epred1_4(X714,X713,X712,X711)
        | ~ epred2_4(X714,X713,X712,X711) )
      & ( esk58_4(X711,X712,X713,X714) = vgensym(vapp(vapp(esk55_4(X711,X712,X713,X714),esk59_4(X711,X712,X713,X714)),vvar(esk54_4(X711,X712,X713,X714))))
        | X713 = vabs(esk51_4(X711,X712,X713,X714),esk52_4(X711,X712,X713,X714),esk53_4(X711,X712,X713,X714))
        | X714 = vapp(vsubst(esk46_4(X711,X712,X713,X714),esk47_4(X711,X712,X713,X714),esk45_4(X711,X712,X713,X714)),vsubst(esk46_4(X711,X712,X713,X714),esk47_4(X711,X712,X713,X714),esk48_4(X711,X712,X713,X714)))
        | epred1_4(X714,X713,X712,X711)
        | ~ epred2_4(X714,X713,X712,X711) )
      & ( X714 = vsubst(esk54_4(X711,X712,X713,X714),esk55_4(X711,X712,X713,X714),vabs(esk58_4(X711,X712,X713,X714),esk56_4(X711,X712,X713,X714),vsubst(esk57_4(X711,X712,X713,X714),vvar(esk58_4(X711,X712,X713,X714)),esk59_4(X711,X712,X713,X714))))
        | X713 = vabs(esk51_4(X711,X712,X713,X714),esk52_4(X711,X712,X713,X714),esk53_4(X711,X712,X713,X714))
        | X714 = vapp(vsubst(esk46_4(X711,X712,X713,X714),esk47_4(X711,X712,X713,X714),esk45_4(X711,X712,X713,X714)),vsubst(esk46_4(X711,X712,X713,X714),esk47_4(X711,X712,X713,X714),esk48_4(X711,X712,X713,X714)))
        | epred1_4(X714,X713,X712,X711)
        | ~ epred2_4(X714,X713,X712,X711) )
      & ( X711 = esk54_4(X711,X712,X713,X714)
        | esk50_4(X711,X712,X713,X714) = esk51_4(X711,X712,X713,X714)
        | X714 = vapp(vsubst(esk46_4(X711,X712,X713,X714),esk47_4(X711,X712,X713,X714),esk45_4(X711,X712,X713,X714)),vsubst(esk46_4(X711,X712,X713,X714),esk47_4(X711,X712,X713,X714),esk48_4(X711,X712,X713,X714)))
        | epred1_4(X714,X713,X712,X711)
        | ~ epred2_4(X714,X713,X712,X711) )
      & ( X712 = esk55_4(X711,X712,X713,X714)
        | esk50_4(X711,X712,X713,X714) = esk51_4(X711,X712,X713,X714)
        | X714 = vapp(vsubst(esk46_4(X711,X712,X713,X714),esk47_4(X711,X712,X713,X714),esk45_4(X711,X712,X713,X714)),vsubst(esk46_4(X711,X712,X713,X714),esk47_4(X711,X712,X713,X714),esk48_4(X711,X712,X713,X714)))
        | epred1_4(X714,X713,X712,X711)
        | ~ epred2_4(X714,X713,X712,X711) )
      & ( X713 = vabs(esk57_4(X711,X712,X713,X714),esk56_4(X711,X712,X713,X714),esk59_4(X711,X712,X713,X714))
        | esk50_4(X711,X712,X713,X714) = esk51_4(X711,X712,X713,X714)
        | X714 = vapp(vsubst(esk46_4(X711,X712,X713,X714),esk47_4(X711,X712,X713,X714),esk45_4(X711,X712,X713,X714)),vsubst(esk46_4(X711,X712,X713,X714),esk47_4(X711,X712,X713,X714),esk48_4(X711,X712,X713,X714)))
        | epred1_4(X714,X713,X712,X711)
        | ~ epred2_4(X714,X713,X712,X711) )
      & ( esk54_4(X711,X712,X713,X714) != esk57_4(X711,X712,X713,X714)
        | esk50_4(X711,X712,X713,X714) = esk51_4(X711,X712,X713,X714)
        | X714 = vapp(vsubst(esk46_4(X711,X712,X713,X714),esk47_4(X711,X712,X713,X714),esk45_4(X711,X712,X713,X714)),vsubst(esk46_4(X711,X712,X713,X714),esk47_4(X711,X712,X713,X714),esk48_4(X711,X712,X713,X714)))
        | epred1_4(X714,X713,X712,X711)
        | ~ epred2_4(X714,X713,X712,X711) )
      & ( visFreeVar(esk57_4(X711,X712,X713,X714),esk55_4(X711,X712,X713,X714))
        | esk50_4(X711,X712,X713,X714) = esk51_4(X711,X712,X713,X714)
        | X714 = vapp(vsubst(esk46_4(X711,X712,X713,X714),esk47_4(X711,X712,X713,X714),esk45_4(X711,X712,X713,X714)),vsubst(esk46_4(X711,X712,X713,X714),esk47_4(X711,X712,X713,X714),esk48_4(X711,X712,X713,X714)))
        | epred1_4(X714,X713,X712,X711)
        | ~ epred2_4(X714,X713,X712,X711) )
      & ( esk58_4(X711,X712,X713,X714) = vgensym(vapp(vapp(esk55_4(X711,X712,X713,X714),esk59_4(X711,X712,X713,X714)),vvar(esk54_4(X711,X712,X713,X714))))
        | esk50_4(X711,X712,X713,X714) = esk51_4(X711,X712,X713,X714)
        | X714 = vapp(vsubst(esk46_4(X711,X712,X713,X714),esk47_4(X711,X712,X713,X714),esk45_4(X711,X712,X713,X714)),vsubst(esk46_4(X711,X712,X713,X714),esk47_4(X711,X712,X713,X714),esk48_4(X711,X712,X713,X714)))
        | epred1_4(X714,X713,X712,X711)
        | ~ epred2_4(X714,X713,X712,X711) )
      & ( X714 = vsubst(esk54_4(X711,X712,X713,X714),esk55_4(X711,X712,X713,X714),vabs(esk58_4(X711,X712,X713,X714),esk56_4(X711,X712,X713,X714),vsubst(esk57_4(X711,X712,X713,X714),vvar(esk58_4(X711,X712,X713,X714)),esk59_4(X711,X712,X713,X714))))
        | esk50_4(X711,X712,X713,X714) = esk51_4(X711,X712,X713,X714)
        | X714 = vapp(vsubst(esk46_4(X711,X712,X713,X714),esk47_4(X711,X712,X713,X714),esk45_4(X711,X712,X713,X714)),vsubst(esk46_4(X711,X712,X713,X714),esk47_4(X711,X712,X713,X714),esk48_4(X711,X712,X713,X714)))
        | epred1_4(X714,X713,X712,X711)
        | ~ epred2_4(X714,X713,X712,X711) )
      & ( X711 = esk54_4(X711,X712,X713,X714)
        | X714 = vabs(esk51_4(X711,X712,X713,X714),esk52_4(X711,X712,X713,X714),esk53_4(X711,X712,X713,X714))
        | X714 = vapp(vsubst(esk46_4(X711,X712,X713,X714),esk47_4(X711,X712,X713,X714),esk45_4(X711,X712,X713,X714)),vsubst(esk46_4(X711,X712,X713,X714),esk47_4(X711,X712,X713,X714),esk48_4(X711,X712,X713,X714)))
        | epred1_4(X714,X713,X712,X711)
        | ~ epred2_4(X714,X713,X712,X711) )
      & ( X712 = esk55_4(X711,X712,X713,X714)
        | X714 = vabs(esk51_4(X711,X712,X713,X714),esk52_4(X711,X712,X713,X714),esk53_4(X711,X712,X713,X714))
        | X714 = vapp(vsubst(esk46_4(X711,X712,X713,X714),esk47_4(X711,X712,X713,X714),esk45_4(X711,X712,X713,X714)),vsubst(esk46_4(X711,X712,X713,X714),esk47_4(X711,X712,X713,X714),esk48_4(X711,X712,X713,X714)))
        | epred1_4(X714,X713,X712,X711)
        | ~ epred2_4(X714,X713,X712,X711) )
      & ( X713 = vabs(esk57_4(X711,X712,X713,X714),esk56_4(X711,X712,X713,X714),esk59_4(X711,X712,X713,X714))
        | X714 = vabs(esk51_4(X711,X712,X713,X714),esk52_4(X711,X712,X713,X714),esk53_4(X711,X712,X713,X714))
        | X714 = vapp(vsubst(esk46_4(X711,X712,X713,X714),esk47_4(X711,X712,X713,X714),esk45_4(X711,X712,X713,X714)),vsubst(esk46_4(X711,X712,X713,X714),esk47_4(X711,X712,X713,X714),esk48_4(X711,X712,X713,X714)))
        | epred1_4(X714,X713,X712,X711)
        | ~ epred2_4(X714,X713,X712,X711) )
      & ( esk54_4(X711,X712,X713,X714) != esk57_4(X711,X712,X713,X714)
        | X714 = vabs(esk51_4(X711,X712,X713,X714),esk52_4(X711,X712,X713,X714),esk53_4(X711,X712,X713,X714))
        | X714 = vapp(vsubst(esk46_4(X711,X712,X713,X714),esk47_4(X711,X712,X713,X714),esk45_4(X711,X712,X713,X714)),vsubst(esk46_4(X711,X712,X713,X714),esk47_4(X711,X712,X713,X714),esk48_4(X711,X712,X713,X714)))
        | epred1_4(X714,X713,X712,X711)
        | ~ epred2_4(X714,X713,X712,X711) )
      & ( visFreeVar(esk57_4(X711,X712,X713,X714),esk55_4(X711,X712,X713,X714))
        | X714 = vabs(esk51_4(X711,X712,X713,X714),esk52_4(X711,X712,X713,X714),esk53_4(X711,X712,X713,X714))
        | X714 = vapp(vsubst(esk46_4(X711,X712,X713,X714),esk47_4(X711,X712,X713,X714),esk45_4(X711,X712,X713,X714)),vsubst(esk46_4(X711,X712,X713,X714),esk47_4(X711,X712,X713,X714),esk48_4(X711,X712,X713,X714)))
        | epred1_4(X714,X713,X712,X711)
        | ~ epred2_4(X714,X713,X712,X711) )
      & ( esk58_4(X711,X712,X713,X714) = vgensym(vapp(vapp(esk55_4(X711,X712,X713,X714),esk59_4(X711,X712,X713,X714)),vvar(esk54_4(X711,X712,X713,X714))))
        | X714 = vabs(esk51_4(X711,X712,X713,X714),esk52_4(X711,X712,X713,X714),esk53_4(X711,X712,X713,X714))
        | X714 = vapp(vsubst(esk46_4(X711,X712,X713,X714),esk47_4(X711,X712,X713,X714),esk45_4(X711,X712,X713,X714)),vsubst(esk46_4(X711,X712,X713,X714),esk47_4(X711,X712,X713,X714),esk48_4(X711,X712,X713,X714)))
        | epred1_4(X714,X713,X712,X711)
        | ~ epred2_4(X714,X713,X712,X711) )
      & ( X714 = vsubst(esk54_4(X711,X712,X713,X714),esk55_4(X711,X712,X713,X714),vabs(esk58_4(X711,X712,X713,X714),esk56_4(X711,X712,X713,X714),vsubst(esk57_4(X711,X712,X713,X714),vvar(esk58_4(X711,X712,X713,X714)),esk59_4(X711,X712,X713,X714))))
        | X714 = vabs(esk51_4(X711,X712,X713,X714),esk52_4(X711,X712,X713,X714),esk53_4(X711,X712,X713,X714))
        | X714 = vapp(vsubst(esk46_4(X711,X712,X713,X714),esk47_4(X711,X712,X713,X714),esk45_4(X711,X712,X713,X714)),vsubst(esk46_4(X711,X712,X713,X714),esk47_4(X711,X712,X713,X714),esk48_4(X711,X712,X713,X714)))
        | epred1_4(X714,X713,X712,X711)
        | ~ epred2_4(X714,X713,X712,X711) ) ),
    inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_64])])])]) ).

fof(i_0_84,plain,
    ! [X600,X601,X602,X603,X604] :
      ( X601 != vapp(X600,X604)
      | X600 = vabs(esk15_5(X600,X601,X602,X603,X604),esk16_5(X600,X601,X602,X603,X604),esk17_5(X600,X601,X602,X603,X604))
      | X603 != vreduce(X600)
      | ~ visSomeExp(X603)
      | X602 != vreduce(X601)
      | X602 = vsomeExp(vapp(vgetSomeExp(X603),X604)) ),
    inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[reduce5])])]) ).

fof(i_0_85,plain,
    ! [X553,X554,X555,X556] :
      ( ( X553 = esk12_4(X553,X554,X555,X556)
        | epred2_4(X556,X555,X554,X553)
        | vsubst(X553,X554,X555) != X556 )
      & ( X554 = esk13_4(X553,X554,X555,X556)
        | epred2_4(X556,X555,X554,X553)
        | vsubst(X553,X554,X555) != X556 )
      & ( X555 = vabs(esk10_4(X553,X554,X555,X556),esk11_4(X553,X554,X555,X556),esk14_4(X553,X554,X555,X556))
        | epred2_4(X556,X555,X554,X553)
        | vsubst(X553,X554,X555) != X556 )
      & ( esk12_4(X553,X554,X555,X556) != esk10_4(X553,X554,X555,X556)
        | epred2_4(X556,X555,X554,X553)
        | vsubst(X553,X554,X555) != X556 )
      & ( ~ visFreeVar(esk10_4(X553,X554,X555,X556),esk13_4(X553,X554,X555,X556))
        | epred2_4(X556,X555,X554,X553)
        | vsubst(X553,X554,X555) != X556 )
      & ( X556 = vabs(esk10_4(X553,X554,X555,X556),esk11_4(X553,X554,X555,X556),vsubst(esk12_4(X553,X554,X555,X556),esk13_4(X553,X554,X555,X556),esk14_4(X553,X554,X555,X556)))
        | epred2_4(X556,X555,X554,X553)
        | vsubst(X553,X554,X555) != X556 ) ),
    inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_65])])])]) ).

fof(i_0_86,plain,
    ! [X701,X702,X703,X704] :
      ( ( X701 = esk43_4(X701,X702,X703,X704)
        | X701 = esk39_4(X701,X702,X703,X704)
        | ~ epred1_4(X704,X703,X702,X701) )
      & ( X702 = esk42_4(X701,X702,X703,X704)
        | X701 = esk39_4(X701,X702,X703,X704)
        | ~ epred1_4(X704,X703,X702,X701) )
      & ( X703 = vvar(esk44_4(X701,X702,X703,X704))
        | X701 = esk39_4(X701,X702,X703,X704)
        | ~ epred1_4(X704,X703,X702,X701) )
      & ( esk43_4(X701,X702,X703,X704) != esk44_4(X701,X702,X703,X704)
        | X701 = esk39_4(X701,X702,X703,X704)
        | ~ epred1_4(X704,X703,X702,X701) )
      & ( X704 = vvar(esk44_4(X701,X702,X703,X704))
        | X701 = esk39_4(X701,X702,X703,X704)
        | ~ epred1_4(X704,X703,X702,X701) )
      & ( X701 = esk43_4(X701,X702,X703,X704)
        | X702 = esk41_4(X701,X702,X703,X704)
        | ~ epred1_4(X704,X703,X702,X701) )
      & ( X702 = esk42_4(X701,X702,X703,X704)
        | X702 = esk41_4(X701,X702,X703,X704)
        | ~ epred1_4(X704,X703,X702,X701) )
      & ( X703 = vvar(esk44_4(X701,X702,X703,X704))
        | X702 = esk41_4(X701,X702,X703,X704)
        | ~ epred1_4(X704,X703,X702,X701) )
      & ( esk43_4(X701,X702,X703,X704) != esk44_4(X701,X702,X703,X704)
        | X702 = esk41_4(X701,X702,X703,X704)
        | ~ epred1_4(X704,X703,X702,X701) )
      & ( X704 = vvar(esk44_4(X701,X702,X703,X704))
        | X702 = esk41_4(X701,X702,X703,X704)
        | ~ epred1_4(X704,X703,X702,X701) )
      & ( X701 = esk43_4(X701,X702,X703,X704)
        | X703 = vvar(esk40_4(X701,X702,X703,X704))
        | ~ epred1_4(X704,X703,X702,X701) )
      & ( X702 = esk42_4(X701,X702,X703,X704)
        | X703 = vvar(esk40_4(X701,X702,X703,X704))
        | ~ epred1_4(X704,X703,X702,X701) )
      & ( X703 = vvar(esk44_4(X701,X702,X703,X704))
        | X703 = vvar(esk40_4(X701,X702,X703,X704))
        | ~ epred1_4(X704,X703,X702,X701) )
      & ( esk43_4(X701,X702,X703,X704) != esk44_4(X701,X702,X703,X704)
        | X703 = vvar(esk40_4(X701,X702,X703,X704))
        | ~ epred1_4(X704,X703,X702,X701) )
      & ( X704 = vvar(esk44_4(X701,X702,X703,X704))
        | X703 = vvar(esk40_4(X701,X702,X703,X704))
        | ~ epred1_4(X704,X703,X702,X701) )
      & ( X701 = esk43_4(X701,X702,X703,X704)
        | esk39_4(X701,X702,X703,X704) = esk40_4(X701,X702,X703,X704)
        | ~ epred1_4(X704,X703,X702,X701) )
      & ( X702 = esk42_4(X701,X702,X703,X704)
        | esk39_4(X701,X702,X703,X704) = esk40_4(X701,X702,X703,X704)
        | ~ epred1_4(X704,X703,X702,X701) )
      & ( X703 = vvar(esk44_4(X701,X702,X703,X704))
        | esk39_4(X701,X702,X703,X704) = esk40_4(X701,X702,X703,X704)
        | ~ epred1_4(X704,X703,X702,X701) )
      & ( esk43_4(X701,X702,X703,X704) != esk44_4(X701,X702,X703,X704)
        | esk39_4(X701,X702,X703,X704) = esk40_4(X701,X702,X703,X704)
        | ~ epred1_4(X704,X703,X702,X701) )
      & ( X704 = vvar(esk44_4(X701,X702,X703,X704))
        | esk39_4(X701,X702,X703,X704) = esk40_4(X701,X702,X703,X704)
        | ~ epred1_4(X704,X703,X702,X701) )
      & ( X701 = esk43_4(X701,X702,X703,X704)
        | X704 = esk41_4(X701,X702,X703,X704)
        | ~ epred1_4(X704,X703,X702,X701) )
      & ( X702 = esk42_4(X701,X702,X703,X704)
        | X704 = esk41_4(X701,X702,X703,X704)
        | ~ epred1_4(X704,X703,X702,X701) )
      & ( X703 = vvar(esk44_4(X701,X702,X703,X704))
        | X704 = esk41_4(X701,X702,X703,X704)
        | ~ epred1_4(X704,X703,X702,X701) )
      & ( esk43_4(X701,X702,X703,X704) != esk44_4(X701,X702,X703,X704)
        | X704 = esk41_4(X701,X702,X703,X704)
        | ~ epred1_4(X704,X703,X702,X701) )
      & ( X704 = vvar(esk44_4(X701,X702,X703,X704))
        | X704 = esk41_4(X701,X702,X703,X704)
        | ~ epred1_4(X704,X703,X702,X701) ) ),
    inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_66])])])]) ).

fof(i_0_87,plain,
    ! [X608,X609,X610,X611,X615] :
      ( X611 != vapp(X609,X608)
      | X609 = vabs(esk18_4(X608,X609,X610,X611),esk19_4(X608,X609,X610,X611),esk20_4(X608,X609,X610,X611))
      | X610 != vreduce(X609)
      | visSomeExp(X610)
      | X615 != vreduce(X611)
      | X615 = vnoExp ),
    inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_67])])])])]) ).

fof(i_0_88,plain,
    ! [X641,X642,X643] :
      ( ( X641 = vapp(esk29_3(X641,X642,X643),esk30_3(X641,X642,X643))
        | X641 = vabs(esk25_3(X641,X642,X643),esk27_3(X641,X642,X643),esk26_3(X641,X642,X643))
        | X641 = vvar(esk24_3(X641,X642,X643))
        | ~ vtcheck(X643,X641,X642) )
      & ( vtcheck(X643,esk29_3(X641,X642,X643),varrow(esk31_3(X641,X642,X643),X642))
        | X641 = vabs(esk25_3(X641,X642,X643),esk27_3(X641,X642,X643),esk26_3(X641,X642,X643))
        | X641 = vvar(esk24_3(X641,X642,X643))
        | ~ vtcheck(X643,X641,X642) )
      & ( vtcheck(X643,esk30_3(X641,X642,X643),esk31_3(X641,X642,X643))
        | X641 = vabs(esk25_3(X641,X642,X643),esk27_3(X641,X642,X643),esk26_3(X641,X642,X643))
        | X641 = vvar(esk24_3(X641,X642,X643))
        | ~ vtcheck(X643,X641,X642) )
      & ( X641 = vapp(esk29_3(X641,X642,X643),esk30_3(X641,X642,X643))
        | X642 = varrow(esk27_3(X641,X642,X643),esk28_3(X641,X642,X643))
        | X641 = vvar(esk24_3(X641,X642,X643))
        | ~ vtcheck(X643,X641,X642) )
      & ( vtcheck(X643,esk29_3(X641,X642,X643),varrow(esk31_3(X641,X642,X643),X642))
        | X642 = varrow(esk27_3(X641,X642,X643),esk28_3(X641,X642,X643))
        | X641 = vvar(esk24_3(X641,X642,X643))
        | ~ vtcheck(X643,X641,X642) )
      & ( vtcheck(X643,esk30_3(X641,X642,X643),esk31_3(X641,X642,X643))
        | X642 = varrow(esk27_3(X641,X642,X643),esk28_3(X641,X642,X643))
        | X641 = vvar(esk24_3(X641,X642,X643))
        | ~ vtcheck(X643,X641,X642) )
      & ( X641 = vapp(esk29_3(X641,X642,X643),esk30_3(X641,X642,X643))
        | vtcheck(vbind(esk25_3(X641,X642,X643),esk27_3(X641,X642,X643),X643),esk26_3(X641,X642,X643),esk28_3(X641,X642,X643))
        | X641 = vvar(esk24_3(X641,X642,X643))
        | ~ vtcheck(X643,X641,X642) )
      & ( vtcheck(X643,esk29_3(X641,X642,X643),varrow(esk31_3(X641,X642,X643),X642))
        | vtcheck(vbind(esk25_3(X641,X642,X643),esk27_3(X641,X642,X643),X643),esk26_3(X641,X642,X643),esk28_3(X641,X642,X643))
        | X641 = vvar(esk24_3(X641,X642,X643))
        | ~ vtcheck(X643,X641,X642) )
      & ( vtcheck(X643,esk30_3(X641,X642,X643),esk31_3(X641,X642,X643))
        | vtcheck(vbind(esk25_3(X641,X642,X643),esk27_3(X641,X642,X643),X643),esk26_3(X641,X642,X643),esk28_3(X641,X642,X643))
        | X641 = vvar(esk24_3(X641,X642,X643))
        | ~ vtcheck(X643,X641,X642) )
      & ( X641 = vapp(esk29_3(X641,X642,X643),esk30_3(X641,X642,X643))
        | X641 = vabs(esk25_3(X641,X642,X643),esk27_3(X641,X642,X643),esk26_3(X641,X642,X643))
        | vlookup(esk24_3(X641,X642,X643),X643) = vsomeType(X642)
        | ~ vtcheck(X643,X641,X642) )
      & ( vtcheck(X643,esk29_3(X641,X642,X643),varrow(esk31_3(X641,X642,X643),X642))
        | X641 = vabs(esk25_3(X641,X642,X643),esk27_3(X641,X642,X643),esk26_3(X641,X642,X643))
        | vlookup(esk24_3(X641,X642,X643),X643) = vsomeType(X642)
        | ~ vtcheck(X643,X641,X642) )
      & ( vtcheck(X643,esk30_3(X641,X642,X643),esk31_3(X641,X642,X643))
        | X641 = vabs(esk25_3(X641,X642,X643),esk27_3(X641,X642,X643),esk26_3(X641,X642,X643))
        | vlookup(esk24_3(X641,X642,X643),X643) = vsomeType(X642)
        | ~ vtcheck(X643,X641,X642) )
      & ( X641 = vapp(esk29_3(X641,X642,X643),esk30_3(X641,X642,X643))
        | X642 = varrow(esk27_3(X641,X642,X643),esk28_3(X641,X642,X643))
        | vlookup(esk24_3(X641,X642,X643),X643) = vsomeType(X642)
        | ~ vtcheck(X643,X641,X642) )
      & ( vtcheck(X643,esk29_3(X641,X642,X643),varrow(esk31_3(X641,X642,X643),X642))
        | X642 = varrow(esk27_3(X641,X642,X643),esk28_3(X641,X642,X643))
        | vlookup(esk24_3(X641,X642,X643),X643) = vsomeType(X642)
        | ~ vtcheck(X643,X641,X642) )
      & ( vtcheck(X643,esk30_3(X641,X642,X643),esk31_3(X641,X642,X643))
        | X642 = varrow(esk27_3(X641,X642,X643),esk28_3(X641,X642,X643))
        | vlookup(esk24_3(X641,X642,X643),X643) = vsomeType(X642)
        | ~ vtcheck(X643,X641,X642) )
      & ( X641 = vapp(esk29_3(X641,X642,X643),esk30_3(X641,X642,X643))
        | vtcheck(vbind(esk25_3(X641,X642,X643),esk27_3(X641,X642,X643),X643),esk26_3(X641,X642,X643),esk28_3(X641,X642,X643))
        | vlookup(esk24_3(X641,X642,X643),X643) = vsomeType(X642)
        | ~ vtcheck(X643,X641,X642) )
      & ( vtcheck(X643,esk29_3(X641,X642,X643),varrow(esk31_3(X641,X642,X643),X642))
        | vtcheck(vbind(esk25_3(X641,X642,X643),esk27_3(X641,X642,X643),X643),esk26_3(X641,X642,X643),esk28_3(X641,X642,X643))
        | vlookup(esk24_3(X641,X642,X643),X643) = vsomeType(X642)
        | ~ vtcheck(X643,X641,X642) )
      & ( vtcheck(X643,esk30_3(X641,X642,X643),esk31_3(X641,X642,X643))
        | vtcheck(vbind(esk25_3(X641,X642,X643),esk27_3(X641,X642,X643),X643),esk26_3(X641,X642,X643),esk28_3(X641,X642,X643))
        | vlookup(esk24_3(X641,X642,X643),X643) = vsomeType(X642)
        | ~ vtcheck(X643,X641,X642) ) ),
    inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['T-inv'])])])]) ).

cnf(i_0_89,plain,
    ( X1 = vapp(vabs(esk71_2(X1,X2),esk69_2(X1,X2),esk73_2(X1,X2)),esk72_2(X1,X2))
    | X2 = vsomeExp(vapp(vabs(esk65_2(X1,X2),esk66_2(X1,X2),esk67_2(X1,X2)),vgetSomeExp(esk68_2(X1,X2))))
    | X2 = vnoExp
    | X2 = vnoExp
    | ~ epred3_2(X2,X1) ),
    inference(split_conjunct,[status(thm)],[i_0_68]) ).

fof(i_0_90,plain,
    ! [X494,X495,X496,X497,X498,X499,X500] :
      ( X496 = X494
      | ~ vtcheck(vbind(X496,X497,vbind(X494,X495,X498)),X499,X500)
      | vtcheck(vbind(X494,X495,vbind(X496,X497,X498)),X499,X500) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['T-Context-Swap'])]) ).

cnf(i_0_91,plain,
    ( X1 = vsomeExp(vsubst(esk71_2(X2,X1),esk72_2(X2,X1),esk73_2(X2,X1)))
    | X1 = vsomeExp(vapp(vabs(esk65_2(X2,X1),esk66_2(X2,X1),esk67_2(X2,X1)),vgetSomeExp(esk68_2(X2,X1))))
    | X1 = vnoExp
    | X1 = vnoExp
    | ~ epred3_2(X1,X2) ),
    inference(split_conjunct,[status(thm)],[i_0_68]) ).

fof(i_0_92,plain,
    ! [X687,X688,X689,X690,X691,X692,X693] :
      ( X689 = X691
      | ~ visFreeVar(X691,X690)
      | ~ vtcheck(X688,X690,X687)
      | ~ vtcheck(vbind(X689,X687,X688),vabs(X691,X692,veabs),X693)
      | vtcheck(X688,vsubst(X689,X690,vabs(X691,X692,veabs)),X693) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['T-subst-abs-3'])]) ).

fof(i_0_93,plain,
    ! [X680,X681,X682,X683,X684,X685,X686] :
      ( X682 = X684
      | visFreeVar(X684,X683)
      | ~ vtcheck(X681,X683,X680)
      | ~ vtcheck(vbind(X682,X680,X681),vabs(X684,X685,veabs),X686)
      | vtcheck(X681,vsubst(X682,X683,vabs(X684,X685,veabs)),X686) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_69])]) ).

fof(i_0_94,plain,
    ! [X672,X673,X674,X675,X676,X677,X678,X679] :
      ( X674 != X676
      | ~ vtcheck(X673,X675,X672)
      | ~ vtcheck(vbind(X674,X672,X673),vabs(X676,X677,X678),X679)
      | vtcheck(X673,vsubst(X674,X675,vabs(X676,X677,X678)),X679) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['T-subst-abs-1'])]) ).

fof(i_0_95,plain,
    ! [X475,X476,X477] :
      ( ( X475 = esk8_3(X475,X476,X477)
        | X475 = esk3_3(X475,X476,X477)
        | X475 = esk1_3(X475,X476,X477)
        | vlookup(X475,X476) != X477 )
      & ( X476 = vbind(esk7_3(X475,X476,X477),esk6_3(X475,X476,X477),esk9_3(X475,X476,X477))
        | X475 = esk3_3(X475,X476,X477)
        | X475 = esk1_3(X475,X476,X477)
        | vlookup(X475,X476) != X477 )
      & ( esk8_3(X475,X476,X477) != esk7_3(X475,X476,X477)
        | X475 = esk3_3(X475,X476,X477)
        | X475 = esk1_3(X475,X476,X477)
        | vlookup(X475,X476) != X477 )
      & ( X477 = vlookup(esk8_3(X475,X476,X477),esk9_3(X475,X476,X477))
        | X475 = esk3_3(X475,X476,X477)
        | X475 = esk1_3(X475,X476,X477)
        | vlookup(X475,X476) != X477 )
      & ( X475 = esk8_3(X475,X476,X477)
        | X476 = vbind(esk4_3(X475,X476,X477),esk5_3(X475,X476,X477),esk2_3(X475,X476,X477))
        | X475 = esk1_3(X475,X476,X477)
        | vlookup(X475,X476) != X477 )
      & ( X476 = vbind(esk7_3(X475,X476,X477),esk6_3(X475,X476,X477),esk9_3(X475,X476,X477))
        | X476 = vbind(esk4_3(X475,X476,X477),esk5_3(X475,X476,X477),esk2_3(X475,X476,X477))
        | X475 = esk1_3(X475,X476,X477)
        | vlookup(X475,X476) != X477 )
      & ( esk8_3(X475,X476,X477) != esk7_3(X475,X476,X477)
        | X476 = vbind(esk4_3(X475,X476,X477),esk5_3(X475,X476,X477),esk2_3(X475,X476,X477))
        | X475 = esk1_3(X475,X476,X477)
        | vlookup(X475,X476) != X477 )
      & ( X477 = vlookup(esk8_3(X475,X476,X477),esk9_3(X475,X476,X477))
        | X476 = vbind(esk4_3(X475,X476,X477),esk5_3(X475,X476,X477),esk2_3(X475,X476,X477))
        | X475 = esk1_3(X475,X476,X477)
        | vlookup(X475,X476) != X477 )
      & ( X475 = esk8_3(X475,X476,X477)
        | esk3_3(X475,X476,X477) = esk4_3(X475,X476,X477)
        | X475 = esk1_3(X475,X476,X477)
        | vlookup(X475,X476) != X477 )
      & ( X476 = vbind(esk7_3(X475,X476,X477),esk6_3(X475,X476,X477),esk9_3(X475,X476,X477))
        | esk3_3(X475,X476,X477) = esk4_3(X475,X476,X477)
        | X475 = esk1_3(X475,X476,X477)
        | vlookup(X475,X476) != X477 )
      & ( esk8_3(X475,X476,X477) != esk7_3(X475,X476,X477)
        | esk3_3(X475,X476,X477) = esk4_3(X475,X476,X477)
        | X475 = esk1_3(X475,X476,X477)
        | vlookup(X475,X476) != X477 )
      & ( X477 = vlookup(esk8_3(X475,X476,X477),esk9_3(X475,X476,X477))
        | esk3_3(X475,X476,X477) = esk4_3(X475,X476,X477)
        | X475 = esk1_3(X475,X476,X477)
        | vlookup(X475,X476) != X477 )
      & ( X475 = esk8_3(X475,X476,X477)
        | X477 = vsomeType(esk5_3(X475,X476,X477))
        | X475 = esk1_3(X475,X476,X477)
        | vlookup(X475,X476) != X477 )
      & ( X476 = vbind(esk7_3(X475,X476,X477),esk6_3(X475,X476,X477),esk9_3(X475,X476,X477))
        | X477 = vsomeType(esk5_3(X475,X476,X477))
        | X475 = esk1_3(X475,X476,X477)
        | vlookup(X475,X476) != X477 )
      & ( esk8_3(X475,X476,X477) != esk7_3(X475,X476,X477)
        | X477 = vsomeType(esk5_3(X475,X476,X477))
        | X475 = esk1_3(X475,X476,X477)
        | vlookup(X475,X476) != X477 )
      & ( X477 = vlookup(esk8_3(X475,X476,X477),esk9_3(X475,X476,X477))
        | X477 = vsomeType(esk5_3(X475,X476,X477))
        | X475 = esk1_3(X475,X476,X477)
        | vlookup(X475,X476) != X477 )
      & ( X475 = esk8_3(X475,X476,X477)
        | X475 = esk3_3(X475,X476,X477)
        | X476 = vempty
        | vlookup(X475,X476) != X477 )
      & ( X476 = vbind(esk7_3(X475,X476,X477),esk6_3(X475,X476,X477),esk9_3(X475,X476,X477))
        | X475 = esk3_3(X475,X476,X477)
        | X476 = vempty
        | vlookup(X475,X476) != X477 )
      & ( esk8_3(X475,X476,X477) != esk7_3(X475,X476,X477)
        | X475 = esk3_3(X475,X476,X477)
        | X476 = vempty
        | vlookup(X475,X476) != X477 )
      & ( X477 = vlookup(esk8_3(X475,X476,X477),esk9_3(X475,X476,X477))
        | X475 = esk3_3(X475,X476,X477)
        | X476 = vempty
        | vlookup(X475,X476) != X477 )
      & ( X475 = esk8_3(X475,X476,X477)
        | X476 = vbind(esk4_3(X475,X476,X477),esk5_3(X475,X476,X477),esk2_3(X475,X476,X477))
        | X476 = vempty
        | vlookup(X475,X476) != X477 )
      & ( X476 = vbind(esk7_3(X475,X476,X477),esk6_3(X475,X476,X477),esk9_3(X475,X476,X477))
        | X476 = vbind(esk4_3(X475,X476,X477),esk5_3(X475,X476,X477),esk2_3(X475,X476,X477))
        | X476 = vempty
        | vlookup(X475,X476) != X477 )
      & ( esk8_3(X475,X476,X477) != esk7_3(X475,X476,X477)
        | X476 = vbind(esk4_3(X475,X476,X477),esk5_3(X475,X476,X477),esk2_3(X475,X476,X477))
        | X476 = vempty
        | vlookup(X475,X476) != X477 )
      & ( X477 = vlookup(esk8_3(X475,X476,X477),esk9_3(X475,X476,X477))
        | X476 = vbind(esk4_3(X475,X476,X477),esk5_3(X475,X476,X477),esk2_3(X475,X476,X477))
        | X476 = vempty
        | vlookup(X475,X476) != X477 )
      & ( X475 = esk8_3(X475,X476,X477)
        | esk3_3(X475,X476,X477) = esk4_3(X475,X476,X477)
        | X476 = vempty
        | vlookup(X475,X476) != X477 )
      & ( X476 = vbind(esk7_3(X475,X476,X477),esk6_3(X475,X476,X477),esk9_3(X475,X476,X477))
        | esk3_3(X475,X476,X477) = esk4_3(X475,X476,X477)
        | X476 = vempty
        | vlookup(X475,X476) != X477 )
      & ( esk8_3(X475,X476,X477) != esk7_3(X475,X476,X477)
        | esk3_3(X475,X476,X477) = esk4_3(X475,X476,X477)
        | X476 = vempty
        | vlookup(X475,X476) != X477 )
      & ( X477 = vlookup(esk8_3(X475,X476,X477),esk9_3(X475,X476,X477))
        | esk3_3(X475,X476,X477) = esk4_3(X475,X476,X477)
        | X476 = vempty
        | vlookup(X475,X476) != X477 )
      & ( X475 = esk8_3(X475,X476,X477)
        | X477 = vsomeType(esk5_3(X475,X476,X477))
        | X476 = vempty
        | vlookup(X475,X476) != X477 )
      & ( X476 = vbind(esk7_3(X475,X476,X477),esk6_3(X475,X476,X477),esk9_3(X475,X476,X477))
        | X477 = vsomeType(esk5_3(X475,X476,X477))
        | X476 = vempty
        | vlookup(X475,X476) != X477 )
      & ( esk8_3(X475,X476,X477) != esk7_3(X475,X476,X477)
        | X477 = vsomeType(esk5_3(X475,X476,X477))
        | X476 = vempty
        | vlookup(X475,X476) != X477 )
      & ( X477 = vlookup(esk8_3(X475,X476,X477),esk9_3(X475,X476,X477))
        | X477 = vsomeType(esk5_3(X475,X476,X477))
        | X476 = vempty
        | vlookup(X475,X476) != X477 )
      & ( X475 = esk8_3(X475,X476,X477)
        | X475 = esk3_3(X475,X476,X477)
        | X477 = vnoType
        | vlookup(X475,X476) != X477 )
      & ( X476 = vbind(esk7_3(X475,X476,X477),esk6_3(X475,X476,X477),esk9_3(X475,X476,X477))
        | X475 = esk3_3(X475,X476,X477)
        | X477 = vnoType
        | vlookup(X475,X476) != X477 )
      & ( esk8_3(X475,X476,X477) != esk7_3(X475,X476,X477)
        | X475 = esk3_3(X475,X476,X477)
        | X477 = vnoType
        | vlookup(X475,X476) != X477 )
      & ( X477 = vlookup(esk8_3(X475,X476,X477),esk9_3(X475,X476,X477))
        | X475 = esk3_3(X475,X476,X477)
        | X477 = vnoType
        | vlookup(X475,X476) != X477 )
      & ( X475 = esk8_3(X475,X476,X477)
        | X476 = vbind(esk4_3(X475,X476,X477),esk5_3(X475,X476,X477),esk2_3(X475,X476,X477))
        | X477 = vnoType
        | vlookup(X475,X476) != X477 )
      & ( X476 = vbind(esk7_3(X475,X476,X477),esk6_3(X475,X476,X477),esk9_3(X475,X476,X477))
        | X476 = vbind(esk4_3(X475,X476,X477),esk5_3(X475,X476,X477),esk2_3(X475,X476,X477))
        | X477 = vnoType
        | vlookup(X475,X476) != X477 )
      & ( esk8_3(X475,X476,X477) != esk7_3(X475,X476,X477)
        | X476 = vbind(esk4_3(X475,X476,X477),esk5_3(X475,X476,X477),esk2_3(X475,X476,X477))
        | X477 = vnoType
        | vlookup(X475,X476) != X477 )
      & ( X477 = vlookup(esk8_3(X475,X476,X477),esk9_3(X475,X476,X477))
        | X476 = vbind(esk4_3(X475,X476,X477),esk5_3(X475,X476,X477),esk2_3(X475,X476,X477))
        | X477 = vnoType
        | vlookup(X475,X476) != X477 )
      & ( X475 = esk8_3(X475,X476,X477)
        | esk3_3(X475,X476,X477) = esk4_3(X475,X476,X477)
        | X477 = vnoType
        | vlookup(X475,X476) != X477 )
      & ( X476 = vbind(esk7_3(X475,X476,X477),esk6_3(X475,X476,X477),esk9_3(X475,X476,X477))
        | esk3_3(X475,X476,X477) = esk4_3(X475,X476,X477)
        | X477 = vnoType
        | vlookup(X475,X476) != X477 )
      & ( esk8_3(X475,X476,X477) != esk7_3(X475,X476,X477)
        | esk3_3(X475,X476,X477) = esk4_3(X475,X476,X477)
        | X477 = vnoType
        | vlookup(X475,X476) != X477 )
      & ( X477 = vlookup(esk8_3(X475,X476,X477),esk9_3(X475,X476,X477))
        | esk3_3(X475,X476,X477) = esk4_3(X475,X476,X477)
        | X477 = vnoType
        | vlookup(X475,X476) != X477 )
      & ( X475 = esk8_3(X475,X476,X477)
        | X477 = vsomeType(esk5_3(X475,X476,X477))
        | X477 = vnoType
        | vlookup(X475,X476) != X477 )
      & ( X476 = vbind(esk7_3(X475,X476,X477),esk6_3(X475,X476,X477),esk9_3(X475,X476,X477))
        | X477 = vsomeType(esk5_3(X475,X476,X477))
        | X477 = vnoType
        | vlookup(X475,X476) != X477 )
      & ( esk8_3(X475,X476,X477) != esk7_3(X475,X476,X477)
        | X477 = vsomeType(esk5_3(X475,X476,X477))
        | X477 = vnoType
        | vlookup(X475,X476) != X477 )
      & ( X477 = vlookup(esk8_3(X475,X476,X477),esk9_3(X475,X476,X477))
        | X477 = vsomeType(esk5_3(X475,X476,X477))
        | X477 = vnoType
        | vlookup(X475,X476) != X477 ) ),
    inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],['lookup-INV'])])])])]) ).

fof(i_0_96,plain,
    ! [X534,X535,X536,X537,X538,X539,X540,X541,X542,X543] :
      ( X534 != X538
      | X535 != X539
      | X536 != vabs(X541,X540,X543)
      | X538 = X541
      | ~ visFreeVar(X541,X539)
      | X542 != vgensym(vapp(vapp(X539,X543),vvar(X538)))
      | X537 != vsubst(X534,X535,X536)
      | X537 = vsubst(X538,X539,vabs(X542,X540,vsubst(X541,vvar(X542),X543))) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[subst4])]) ).

fof(i_0_97,plain,
    ! [X487,X488,X489,X490,X491,X492,X493] :
      ( X489 != X487
      | ~ vtcheck(vbind(X489,X490,vbind(X487,X488,X491)),X492,X493)
      | vtcheck(vbind(X489,X490,X491),X492,X493) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['T-Context-Duplicate'])]) ).

cnf(i_0_98,plain,
    ( X2 = vsomeExp(vapp(vabs(esk65_2(X1,X2),esk66_2(X1,X2),esk67_2(X1,X2)),vgetSomeExp(esk68_2(X1,X2))))
    | X2 = vnoExp
    | X2 = vnoExp
    | ~ visSomeExp(esk70_2(X1,X2))
    | ~ epred3_2(X2,X1) ),
    inference(split_conjunct,[status(thm)],[i_0_68]) ).

cnf(i_0_99,plain,
    ( esk70_2(X1,X2) = vreduce(esk72_2(X1,X2))
    | X2 = vsomeExp(vapp(vabs(esk65_2(X1,X2),esk66_2(X1,X2),esk67_2(X1,X2)),vgetSomeExp(esk68_2(X1,X2))))
    | X2 = vnoExp
    | X2 = vnoExp
    | ~ epred3_2(X2,X1) ),
    inference(split_conjunct,[status(thm)],[i_0_68]) ).

cnf(i_0_100,plain,
    ( visValue(esk72_2(X1,X2))
    | X2 = vsomeExp(vapp(vabs(esk65_2(X1,X2),esk66_2(X1,X2),esk67_2(X1,X2)),vgetSomeExp(esk68_2(X1,X2))))
    | X2 = vnoExp
    | X2 = vnoExp
    | ~ epred3_2(X2,X1) ),
    inference(split_conjunct,[status(thm)],[i_0_68]) ).

cnf(i_0_101,plain,
    ( X1 = vapp(vabs(esk71_2(X1,X2),esk69_2(X1,X2),esk73_2(X1,X2)),esk72_2(X1,X2))
    | X1 = vapp(vabs(esk65_2(X1,X2),esk66_2(X1,X2),esk67_2(X1,X2)),esk64_2(X1,X2))
    | X2 = vnoExp
    | X2 = vnoExp
    | ~ epred3_2(X2,X1) ),
    inference(split_conjunct,[status(thm)],[i_0_68]) ).

cnf(i_0_102,plain,
    ( X1 = vsomeExp(vsubst(esk71_2(X2,X1),esk72_2(X2,X1),esk73_2(X2,X1)))
    | X2 = vapp(vabs(esk65_2(X2,X1),esk66_2(X2,X1),esk67_2(X2,X1)),esk64_2(X2,X1))
    | X1 = vnoExp
    | X1 = vnoExp
    | ~ epred3_2(X1,X2) ),
    inference(split_conjunct,[status(thm)],[i_0_68]) ).

fof(i_0_103,negated_conjecture,
    ( vtcheck(esk33_0,esk35_0,esk32_0)
    & vtcheck(vbind(esk34_0,esk32_0,esk33_0),vabs(esk36_0,esk37_0,veabs),esk38_0)
    & ~ vtcheck(esk33_0,vsubst(esk34_0,esk35_0,vabs(esk36_0,esk37_0,veabs)),esk38_0) ),
    inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_70])])]) ).

fof(i_0_104,plain,
    ! [X746,X747,X756,X757,X758] :
      ( ( X746 = vapp(esk79_2(X746,X747),esk81_2(X746,X747))
        | X746 = vapp(vabs(esk74_2(X746,X747),esk75_2(X746,X747),esk76_2(X746,X747)),esk78_2(X746,X747))
        | epred3_2(X747,X746)
        | ~ epred4_2(X747,X746) )
      & ( esk79_2(X746,X747) != vabs(X756,X757,X758)
        | X746 = vapp(vabs(esk74_2(X746,X747),esk75_2(X746,X747),esk76_2(X746,X747)),esk78_2(X746,X747))
        | epred3_2(X747,X746)
        | ~ epred4_2(X747,X746) )
      & ( esk80_2(X746,X747) = vreduce(esk79_2(X746,X747))
        | X746 = vapp(vabs(esk74_2(X746,X747),esk75_2(X746,X747),esk76_2(X746,X747)),esk78_2(X746,X747))
        | epred3_2(X747,X746)
        | ~ epred4_2(X747,X746) )
      & ( visSomeExp(esk80_2(X746,X747))
        | X746 = vapp(vabs(esk74_2(X746,X747),esk75_2(X746,X747),esk76_2(X746,X747)),esk78_2(X746,X747))
        | epred3_2(X747,X746)
        | ~ epred4_2(X747,X746) )
      & ( X747 = vsomeExp(vapp(vgetSomeExp(esk80_2(X746,X747)),esk81_2(X746,X747)))
        | X746 = vapp(vabs(esk74_2(X746,X747),esk75_2(X746,X747),esk76_2(X746,X747)),esk78_2(X746,X747))
        | epred3_2(X747,X746)
        | ~ epred4_2(X747,X746) )
      & ( X746 = vapp(esk79_2(X746,X747),esk81_2(X746,X747))
        | esk77_2(X746,X747) = vreduce(esk78_2(X746,X747))
        | epred3_2(X747,X746)
        | ~ epred4_2(X747,X746) )
      & ( esk79_2(X746,X747) != vabs(X756,X757,X758)
        | esk77_2(X746,X747) = vreduce(esk78_2(X746,X747))
        | epred3_2(X747,X746)
        | ~ epred4_2(X747,X746) )
      & ( esk80_2(X746,X747) = vreduce(esk79_2(X746,X747))
        | esk77_2(X746,X747) = vreduce(esk78_2(X746,X747))
        | epred3_2(X747,X746)
        | ~ epred4_2(X747,X746) )
      & ( visSomeExp(esk80_2(X746,X747))
        | esk77_2(X746,X747) = vreduce(esk78_2(X746,X747))
        | epred3_2(X747,X746)
        | ~ epred4_2(X747,X746) )
      & ( X747 = vsomeExp(vapp(vgetSomeExp(esk80_2(X746,X747)),esk81_2(X746,X747)))
        | esk77_2(X746,X747) = vreduce(esk78_2(X746,X747))
        | epred3_2(X747,X746)
        | ~ epred4_2(X747,X746) )
      & ( X746 = vapp(esk79_2(X746,X747),esk81_2(X746,X747))
        | ~ visSomeExp(esk77_2(X746,X747))
        | epred3_2(X747,X746)
        | ~ epred4_2(X747,X746) )
      & ( esk79_2(X746,X747) != vabs(X756,X757,X758)
        | ~ visSomeExp(esk77_2(X746,X747))
        | epred3_2(X747,X746)
        | ~ epred4_2(X747,X746) )
      & ( esk80_2(X746,X747) = vreduce(esk79_2(X746,X747))
        | ~ visSomeExp(esk77_2(X746,X747))
        | epred3_2(X747,X746)
        | ~ epred4_2(X747,X746) )
      & ( visSomeExp(esk80_2(X746,X747))
        | ~ visSomeExp(esk77_2(X746,X747))
        | epred3_2(X747,X746)
        | ~ epred4_2(X747,X746) )
      & ( X747 = vsomeExp(vapp(vgetSomeExp(esk80_2(X746,X747)),esk81_2(X746,X747)))
        | ~ visSomeExp(esk77_2(X746,X747))
        | epred3_2(X747,X746)
        | ~ epred4_2(X747,X746) )
      & ( X746 = vapp(esk79_2(X746,X747),esk81_2(X746,X747))
        | ~ visValue(esk78_2(X746,X747))
        | epred3_2(X747,X746)
        | ~ epred4_2(X747,X746) )
      & ( esk79_2(X746,X747) != vabs(X756,X757,X758)
        | ~ visValue(esk78_2(X746,X747))
        | epred3_2(X747,X746)
        | ~ epred4_2(X747,X746) )
      & ( esk80_2(X746,X747) = vreduce(esk79_2(X746,X747))
        | ~ visValue(esk78_2(X746,X747))
        | epred3_2(X747,X746)
        | ~ epred4_2(X747,X746) )
      & ( visSomeExp(esk80_2(X746,X747))
        | ~ visValue(esk78_2(X746,X747))
        | epred3_2(X747,X746)
        | ~ epred4_2(X747,X746) )
      & ( X747 = vsomeExp(vapp(vgetSomeExp(esk80_2(X746,X747)),esk81_2(X746,X747)))
        | ~ visValue(esk78_2(X746,X747))
        | epred3_2(X747,X746)
        | ~ epred4_2(X747,X746) )
      & ( X746 = vapp(esk79_2(X746,X747),esk81_2(X746,X747))
        | X747 = vnoExp
        | epred3_2(X747,X746)
        | ~ epred4_2(X747,X746) )
      & ( esk79_2(X746,X747) != vabs(X756,X757,X758)
        | X747 = vnoExp
        | epred3_2(X747,X746)
        | ~ epred4_2(X747,X746) )
      & ( esk80_2(X746,X747) = vreduce(esk79_2(X746,X747))
        | X747 = vnoExp
        | epred3_2(X747,X746)
        | ~ epred4_2(X747,X746) )
      & ( visSomeExp(esk80_2(X746,X747))
        | X747 = vnoExp
        | epred3_2(X747,X746)
        | ~ epred4_2(X747,X746) )
      & ( X747 = vsomeExp(vapp(vgetSomeExp(esk80_2(X746,X747)),esk81_2(X746,X747)))
        | X747 = vnoExp
        | epred3_2(X747,X746)
        | ~ epred4_2(X747,X746) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_71])])])])])]) ).

fof(i_0_105,plain,
    ! [X667,X668,X669,X670,X671] :
      ( ~ vtcheck(X668,X670,X667)
      | ~ vtcheck(vbind(X669,X667,X668),veabs,X671)
      | vtcheck(X668,vsubst(X669,X670,veabs),X671) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['T-subst-IH-abs'])]) ).

fof(i_0_106,plain,
    ! [X579,X580,X581,X582,X583,X584,X585] :
      ( X580 != vapp(vabs(X582,X583,X584),X579)
      | X585 != vreduce(X579)
      | ~ visSomeExp(X585)
      | X581 != vreduce(X580)
      | X581 = vsomeExp(vapp(vabs(X582,X583,X584),vgetSomeExp(X585))) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[reduce2])]) ).

fof(i_0_107,plain,
    ! [X631,X632,X633,X634,X635] :
      ( ~ vtcheck(vbind(X632,X634,X631),X633,X635)
      | vtcheck(X631,vabs(X632,X634,X633),varrow(X634,X635)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['T-abs'])]) ).

cnf(i_0_108,plain,
    ( X1 = vapp(vabs(esk65_2(X1,X2),esk66_2(X1,X2),esk67_2(X1,X2)),esk64_2(X1,X2))
    | X2 = vnoExp
    | X2 = vnoExp
    | ~ visSomeExp(esk70_2(X1,X2))
    | ~ epred3_2(X2,X1) ),
    inference(split_conjunct,[status(thm)],[i_0_68]) ).

cnf(i_0_109,plain,
    ( esk70_2(X1,X2) = vreduce(esk72_2(X1,X2))
    | X1 = vapp(vabs(esk65_2(X1,X2),esk66_2(X1,X2),esk67_2(X1,X2)),esk64_2(X1,X2))
    | X2 = vnoExp
    | X2 = vnoExp
    | ~ epred3_2(X2,X1) ),
    inference(split_conjunct,[status(thm)],[i_0_68]) ).

cnf(i_0_110,plain,
    ( X1 = vapp(vabs(esk71_2(X1,X2),esk69_2(X1,X2),esk73_2(X1,X2)),esk72_2(X1,X2))
    | esk68_2(X1,X2) = vreduce(esk64_2(X1,X2))
    | X2 = vnoExp
    | X2 = vnoExp
    | ~ epred3_2(X2,X1) ),
    inference(split_conjunct,[status(thm)],[i_0_68]) ).

fof(i_0_111,plain,
    ! [X544,X545,X546,X547,X548,X549,X550,X551,X552] :
      ( X544 != X550
      | X545 != X551
      | X546 != vabs(X548,X549,X552)
      | X550 = X548
      | visFreeVar(X548,X551)
      | X547 != vsubst(X544,X545,X546)
      | X547 = vabs(X548,X549,vsubst(X550,X551,X552)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_72])]) ).

cnf(i_0_112,plain,
    ( X1 = vapp(vabs(esk71_2(X1,X2),esk69_2(X1,X2),esk73_2(X1,X2)),esk72_2(X1,X2))
    | visSomeExp(esk68_2(X1,X2))
    | X2 = vnoExp
    | X2 = vnoExp
    | ~ epred3_2(X2,X1) ),
    inference(split_conjunct,[status(thm)],[i_0_68]) ).

cnf(i_0_113,plain,
    ( visValue(esk72_2(X1,X2))
    | X1 = vapp(vabs(esk65_2(X1,X2),esk66_2(X1,X2),esk67_2(X1,X2)),esk64_2(X1,X2))
    | X2 = vnoExp
    | X2 = vnoExp
    | ~ epred3_2(X2,X1) ),
    inference(split_conjunct,[status(thm)],[i_0_68]) ).

fof(i_0_114,plain,
    ! [X517,X518,X519,X520,X521,X522,X523,X524] :
      ( X517 != X522
      | X518 != X523
      | X519 != vapp(X521,X524)
      | X520 != vsubst(X517,X518,X519)
      | X520 = vapp(vsubst(X522,X523,X521),vsubst(X522,X523,X524)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[subst2])]) ).

cnf(i_0_115,plain,
    ( X1 = vsomeExp(vsubst(esk71_2(X2,X1),esk72_2(X2,X1),esk73_2(X2,X1)))
    | esk68_2(X2,X1) = vreduce(esk64_2(X2,X1))
    | X1 = vnoExp
    | X1 = vnoExp
    | ~ epred3_2(X1,X2) ),
    inference(split_conjunct,[status(thm)],[i_0_68]) ).

fof(i_0_116,plain,
    ! [X586,X587,X588,X589,X590,X591,X592] :
      ( X588 != vapp(vabs(X590,X586,X592),X591)
      | X587 != vreduce(X591)
      | visSomeExp(X587)
      | ~ visValue(X591)
      | X589 != vreduce(X588)
      | X589 = vsomeExp(vsubst(X590,X591,X592)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_73])]) ).

fof(i_0_117,plain,
    ! [X657,X658,X659,X660,X661] :
      ( visFreeVar(X657,X660)
      | ~ vtcheck(vbind(X657,X658,X659),X660,X661)
      | vtcheck(X659,X660,X661) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_74])]) ).

cnf(i_0_118,plain,
    ( X1 = vsomeExp(vsubst(esk71_2(X2,X1),esk72_2(X2,X1),esk73_2(X2,X1)))
    | visSomeExp(esk68_2(X2,X1))
    | X1 = vnoExp
    | X1 = vnoExp
    | ~ epred3_2(X1,X2) ),
    inference(split_conjunct,[status(thm)],[i_0_68]) ).

fof(i_0_119,plain,
    ! [X636,X637,X638,X639,X640] :
      ( ~ vtcheck(X637,X638,varrow(X636,X640))
      | ~ vtcheck(X637,X639,X636)
      | vtcheck(X637,vapp(X638,X639),X640) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['T-app'])]) ).

fof(i_0_120,plain,
    ! [X652,X653,X654,X655,X656] :
      ( vlookup(X652,X654) != vnoType
      | ~ vtcheck(X654,X655,X656)
      | vtcheck(vbind(X652,X653,X654),X655,X656) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['T-Weak'])]) ).

fof(i_0_121,plain,
    ! [X662,X663,X664,X665,X666] :
      ( visFreeVar(X662,X665)
      | ~ vtcheck(X664,X665,X666)
      | vtcheck(vbind(X662,X663,X664),X665,X666) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_75])]) ).

fof(i_0_122,plain,
    ! [X525,X526,X527,X528,X529,X530,X531,X532,X533] :
      ( X527 != X526
      | X528 != X525
      | X529 != vabs(X531,X532,X533)
      | X526 != X531
      | X530 != vsubst(X527,X528,X529)
      | X530 = vabs(X531,X532,X533) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[subst3])]) ).

fof(i_0_123,plain,
    ! [X593,X594,X595,X596,X597,X598,X599] :
      ( X598 != vapp(vabs(X593,X594,X595),X597)
      | X596 != vreduce(X597)
      | visSomeExp(X596)
      | visValue(X597)
      | X599 != vreduce(X598)
      | X599 = vnoExp ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_76])]) ).

fof(i_0_124,plain,
    ! [X439,X440,X441,X442,X443,X444] :
      ( ( X439 = X442
        | vbind(X439,X440,X441) != vbind(X442,X443,X444) )
      & ( X440 = X443
        | vbind(X439,X440,X441) != vbind(X442,X443,X444) )
      & ( X441 = X444
        | vbind(X439,X440,X441) != vbind(X442,X443,X444) )
      & ( X439 != X442
        | X440 != X443
        | X441 != X444
        | vbind(X439,X440,X441) = vbind(X442,X443,X444) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['EQ-bind'])])]) ).

fof(i_0_125,plain,
    ! [X393,X394,X395,X396,X397,X398] :
      ( ( X393 = X396
        | vabs(X393,X394,X395) != vabs(X396,X397,X398) )
      & ( X394 = X397
        | vabs(X393,X394,X395) != vabs(X396,X397,X398) )
      & ( X395 = X398
        | vabs(X393,X394,X395) != vabs(X396,X397,X398) )
      & ( X393 != X396
        | X394 != X397
        | X395 != X398
        | vabs(X393,X394,X395) = vabs(X396,X397,X398) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['EQ-abs'])])]) ).

fof(i_0_126,plain,
    ! [X468,X469,X470,X471,X472,X473,X474] :
      ( X470 != X473
      | X471 != vbind(X469,X468,X474)
      | X473 = X469
      | X472 != vlookup(X470,X471)
      | X472 = vlookup(X473,X474) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[lookup2])]) ).

fof(i_0_127,plain,
    ! [X616,X617,X621,X622,X623] :
      ( ( X616 = vapp(esk22_2(X616,X617),esk21_2(X616,X617))
        | epred4_2(X617,X616)
        | vreduce(X616) != X617 )
      & ( esk22_2(X616,X617) != vabs(X621,X622,X623)
        | epred4_2(X617,X616)
        | vreduce(X616) != X617 )
      & ( esk23_2(X616,X617) = vreduce(esk22_2(X616,X617))
        | epred4_2(X617,X616)
        | vreduce(X616) != X617 )
      & ( ~ visSomeExp(esk23_2(X616,X617))
        | epred4_2(X617,X616)
        | vreduce(X616) != X617 )
      & ( X617 = vnoExp
        | epred4_2(X617,X616)
        | vreduce(X616) != X617 ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_77])])])])])]) ).

fof(i_0_128,plain,
    ! [X428,X429,X430,X431,X432,X433] :
      ( ( X431 = X432
        | ~ visFreeVar(X432,X433)
        | visFreeVar(X429,X430)
        | X429 != X432
        | X430 != vabs(X431,X428,X433) )
      & ( X431 != X432
        | ~ visFreeVar(X429,X430)
        | X429 != X432
        | X430 != vabs(X431,X428,X433) )
      & ( visFreeVar(X432,X433)
        | ~ visFreeVar(X429,X430)
        | X429 != X432
        | X430 != vabs(X431,X428,X433) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[isFreeVar1])])]) ).

fof(i_0_129,plain,
    ! [X461,X462,X463,X464,X465,X466,X467] :
      ( X464 != X462
      | X465 != vbind(X463,X467,X461)
      | X462 != X463
      | X466 != vlookup(X464,X465)
      | X466 = vsomeType(X467) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[lookup1])]) ).

cnf(i_0_130,plain,
    ( esk68_2(X1,X2) = vreduce(esk64_2(X1,X2))
    | X2 = vnoExp
    | X2 = vnoExp
    | ~ visSomeExp(esk70_2(X1,X2))
    | ~ epred3_2(X2,X1) ),
    inference(split_conjunct,[status(thm)],[i_0_68]) ).

cnf(i_0_131,plain,
    ( esk70_2(X1,X2) = vreduce(esk72_2(X1,X2))
    | esk68_2(X1,X2) = vreduce(esk64_2(X1,X2))
    | X2 = vnoExp
    | X2 = vnoExp
    | ~ epred3_2(X2,X1) ),
    inference(split_conjunct,[status(thm)],[i_0_68]) ).

fof(i_0_132,plain,
    ! [X510,X511,X512,X513,X514,X515,X516] :
      ( X512 != X511
      | X513 != X510
      | X514 != vvar(X516)
      | X511 = X516
      | X515 != vsubst(X512,X513,X514)
      | X515 = vvar(X516) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[subst1])]) ).

fof(i_0_133,plain,
    ! [X503,X504,X505,X506,X507,X508,X509] :
      ( X505 != X503
      | X506 != X509
      | X507 != vvar(X504)
      | X503 != X504
      | X508 != vsubst(X505,X506,X507)
      | X508 = X509 ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[subst0])]) ).

fof(i_0_134,plain,
    ! [X410,X411,X412,X413,X414] : vabs(X410,X411,X412) != vapp(X413,X414),
    inference(variable_rename,[status(thm)],['DIFF-abs-app']) ).

cnf(i_0_135,plain,
    ( visSomeExp(esk68_2(X1,X2))
    | X2 = vnoExp
    | X2 = vnoExp
    | ~ visSomeExp(esk70_2(X1,X2))
    | ~ epred3_2(X2,X1) ),
    inference(split_conjunct,[status(thm)],[i_0_68]) ).

cnf(i_0_136,plain,
    ( esk70_2(X1,X2) = vreduce(esk72_2(X1,X2))
    | visSomeExp(esk68_2(X1,X2))
    | X2 = vnoExp
    | X2 = vnoExp
    | ~ epred3_2(X2,X1) ),
    inference(split_conjunct,[status(thm)],[i_0_68]) ).

cnf(i_0_137,plain,
    ( visValue(esk72_2(X1,X2))
    | esk68_2(X1,X2) = vreduce(esk64_2(X1,X2))
    | X2 = vnoExp
    | X2 = vnoExp
    | ~ epred3_2(X2,X1) ),
    inference(split_conjunct,[status(thm)],[i_0_68]) ).

fof(i_0_138,plain,
    ! [X574,X575,X576,X577,X578] :
      ( X577 != vabs(X574,X575,X576)
      | X578 != vreduce(X577)
      | X578 = vnoExp ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[reduce1])]) ).

fof(i_0_139,plain,
    ! [X403,X404,X405,X406] : vvar(X403) != vabs(X404,X405,X406),
    inference(variable_rename,[status(thm)],['DIFF-var-abs']) ).

fof(i_0_140,plain,
    ! [X415,X416,X417,X418] :
      ( X418 != vabs(X415,X416,X417)
      | visValue(X418) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[isValue0])]) ).

fof(i_0_141,plain,
    ! [X628,X629,X630] :
      ( vlookup(X629,X628) != vsomeType(X630)
      | vtcheck(X628,vvar(X629),X630) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['T-var'])]) ).

fof(i_0_142,plain,
    ! [X447,X448,X449] : vempty != vbind(X447,X448,X449),
    inference(variable_rename,[status(thm)],['DIFF-empty-bind']) ).

cnf(i_0_143,plain,
    ( visValue(esk72_2(X1,X2))
    | visSomeExp(esk68_2(X1,X2))
    | X2 = vnoExp
    | X2 = vnoExp
    | ~ epred3_2(X2,X1) ),
    inference(split_conjunct,[status(thm)],[i_0_68]) ).

fof(i_0_144,plain,
    ! [X434,X435,X436,X437,X438] :
      ( ( ~ visFreeVar(X437,X436)
        | visFreeVar(X434,X435)
        | X434 != X437
        | X435 != vapp(X436,X438) )
      & ( ~ visFreeVar(X437,X438)
        | visFreeVar(X434,X435)
        | X434 != X437
        | X435 != vapp(X436,X438) )
      & ( ~ visFreeVar(X434,X435)
        | visFreeVar(X437,X436)
        | visFreeVar(X437,X438)
        | X434 != X437
        | X435 != vapp(X436,X438) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[isFreeVar2])])]) ).

fof(i_0_145,plain,
    ! [X624,X625,X626,X627] :
      ( ( X624 = X626
        | varrow(X624,X625) != varrow(X626,X627) )
      & ( X625 = X627
        | varrow(X624,X625) != varrow(X626,X627) )
      & ( X624 != X626
        | X625 != X627
        | varrow(X624,X625) = varrow(X626,X627) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['EQ-arrow'])])]) ).

fof(i_0_146,plain,
    ! [X399,X400,X401,X402] :
      ( ( X399 = X401
        | vapp(X399,X400) != vapp(X401,X402) )
      & ( X400 = X402
        | vapp(X399,X400) != vapp(X401,X402) )
      & ( X399 != X401
        | X400 != X402
        | vapp(X399,X400) = vapp(X401,X402) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['EQ-app'])])]) ).

fof(i_0_147,plain,
    ! [X424,X425,X426,X427] :
      ( ( X426 != X427
        | visFreeVar(X424,X425)
        | X424 != X427
        | X425 != vvar(X426) )
      & ( ~ visFreeVar(X424,X425)
        | X426 = X427
        | X424 != X427
        | X425 != vvar(X426) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[isFreeVar0])])]) ).

fof(i_0_148,plain,
    ! [X457,X458,X459,X460] :
      ( X458 != X457
      | X459 != vempty
      | X460 != vlookup(X458,X459)
      | X460 = vnoType ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[lookup0])]) ).

fof(i_0_149,plain,
    ! [X421,X422,X423] :
      ( X423 != vapp(X421,X422)
      | ~ visValue(X423) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_78])]) ).

fof(i_0_150,plain,
    ! [X501,X502] :
      ( vgensym(X502) != X501
      | ~ visFreeVar(X501,X502) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_79])]) ).

fof(i_0_151,plain,
    ! [X407,X408,X409] : vvar(X407) != vapp(X408,X409),
    inference(variable_rename,[status(thm)],['DIFF-var-app']) ).

fof(i_0_152,plain,
    ! [X568,X569,X570] :
      ( X568 != vsomeExp(X570)
      | X569 != vgetSomeExp(X568)
      | X569 = X570 ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[getSomeExp0])]) ).

fof(i_0_153,plain,
    ! [X454,X455,X456] :
      ( X454 != vsomeType(X456)
      | X455 != vgetSomeType(X454)
      | X455 = X456 ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[getSomeType0])]) ).

fof(i_0_154,plain,
    ! [X571,X572,X573] :
      ( X572 != vvar(X571)
      | X573 != vreduce(X572)
      | X573 = vnoExp ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[reduce0])]) ).

fof(i_0_155,plain,
    ! [X419,X420] :
      ( X420 != vvar(X419)
      | ~ visValue(X420) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_80])]) ).

fof(i_0_156,plain,
    ! [X562,X563] :
      ( ( vsomeExp(X562) != vsomeExp(X563)
        | X562 = X563 )
      & ( X562 != X563
        | vsomeExp(X562) = vsomeExp(X563) ) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['EQ-someExp'])]) ).

fof(i_0_157,plain,
    ! [X445,X446] :
      ( ( vsomeType(X445) != vsomeType(X446)
        | X445 = X446 )
      & ( X445 != X446
        | vsomeType(X445) = vsomeType(X446) ) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['EQ-someType'])]) ).

fof(i_0_158,plain,
    ! [X391,X392] :
      ( ( vvar(X391) != vvar(X392)
        | X391 = X392 )
      & ( X391 != X392
        | vvar(X391) = vvar(X392) ) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['EQ-var'])]) ).

fof(i_0_159,plain,
    ! [X566,X567] :
      ( X567 != vsomeExp(X566)
      | visSomeExp(X567) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[isSomeExp1])]) ).

fof(i_0_160,plain,
    ! [X452,X453] :
      ( X453 != vsomeType(X452)
      | visSomeType(X453) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[isSomeType1])]) ).

fof(i_0_161,plain,
    ! [X565] :
      ( X565 != vnoExp
      | ~ visSomeExp(X565) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_81])]) ).

fof(i_0_162,plain,
    ! [X451] :
      ( X451 != vnoType
      | ~ visSomeType(X451) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_82])]) ).

fof(i_0_163,plain,
    ! [X564] : vnoExp != vsomeExp(X564),
    inference(variable_rename,[status(thm)],['DIFF-noExp-someExp']) ).

fof(i_0_164,plain,
    ! [X450] : vnoType != vsomeType(X450),
    inference(variable_rename,[status(thm)],['DIFF-noType-someType']) ).

cnf(i_0_165,plain,
    ( X1 = vsubst(esk54_4(X2,X3,X4,X1),esk55_4(X2,X3,X4,X1),vabs(esk58_4(X2,X3,X4,X1),esk56_4(X2,X3,X4,X1),vsubst(esk57_4(X2,X3,X4,X1),vvar(esk58_4(X2,X3,X4,X1)),esk59_4(X2,X3,X4,X1))))
    | X1 = vabs(esk51_4(X2,X3,X4,X1),esk52_4(X2,X3,X4,X1),esk53_4(X2,X3,X4,X1))
    | X1 = vapp(vsubst(esk46_4(X2,X3,X4,X1),esk47_4(X2,X3,X4,X1),esk45_4(X2,X3,X4,X1)),vsubst(esk46_4(X2,X3,X4,X1),esk47_4(X2,X3,X4,X1),esk48_4(X2,X3,X4,X1)))
    | epred1_4(X1,X4,X3,X2)
    | ~ epred2_4(X1,X4,X3,X2) ),
    inference(split_conjunct,[status(thm)],[i_0_83]),
    [final] ).

cnf(i_0_166,plain,
    ( X1 = vsubst(esk54_4(X2,X3,X4,X1),esk55_4(X2,X3,X4,X1),vabs(esk58_4(X2,X3,X4,X1),esk56_4(X2,X3,X4,X1),vsubst(esk57_4(X2,X3,X4,X1),vvar(esk58_4(X2,X3,X4,X1)),esk59_4(X2,X3,X4,X1))))
    | X4 = vabs(esk51_4(X2,X3,X4,X1),esk52_4(X2,X3,X4,X1),esk53_4(X2,X3,X4,X1))
    | X1 = vapp(vsubst(esk46_4(X2,X3,X4,X1),esk47_4(X2,X3,X4,X1),esk45_4(X2,X3,X4,X1)),vsubst(esk46_4(X2,X3,X4,X1),esk47_4(X2,X3,X4,X1),esk48_4(X2,X3,X4,X1)))
    | epred1_4(X1,X4,X3,X2)
    | ~ epred2_4(X1,X4,X3,X2) ),
    inference(split_conjunct,[status(thm)],[i_0_83]),
    [final] ).

cnf(i_0_167,plain,
    ( X1 = vsubst(esk54_4(X2,X3,X4,X1),esk55_4(X2,X3,X4,X1),vabs(esk58_4(X2,X3,X4,X1),esk56_4(X2,X3,X4,X1),vsubst(esk57_4(X2,X3,X4,X1),vvar(esk58_4(X2,X3,X4,X1)),esk59_4(X2,X3,X4,X1))))
    | esk50_4(X2,X3,X4,X1) = esk51_4(X2,X3,X4,X1)
    | X1 = vapp(vsubst(esk46_4(X2,X3,X4,X1),esk47_4(X2,X3,X4,X1),esk45_4(X2,X3,X4,X1)),vsubst(esk46_4(X2,X3,X4,X1),esk47_4(X2,X3,X4,X1),esk48_4(X2,X3,X4,X1)))
    | epred1_4(X1,X4,X3,X2)
    | ~ epred2_4(X1,X4,X3,X2) ),
    inference(split_conjunct,[status(thm)],[i_0_83]),
    [final] ).

cnf(i_0_168,plain,
    ( X1 = vsubst(esk54_4(X2,X3,X4,X1),esk55_4(X2,X3,X4,X1),vabs(esk58_4(X2,X3,X4,X1),esk56_4(X2,X3,X4,X1),vsubst(esk57_4(X2,X3,X4,X1),vvar(esk58_4(X2,X3,X4,X1)),esk59_4(X2,X3,X4,X1))))
    | X2 = esk50_4(X2,X3,X4,X1)
    | X1 = vapp(vsubst(esk46_4(X2,X3,X4,X1),esk47_4(X2,X3,X4,X1),esk45_4(X2,X3,X4,X1)),vsubst(esk46_4(X2,X3,X4,X1),esk47_4(X2,X3,X4,X1),esk48_4(X2,X3,X4,X1)))
    | epred1_4(X1,X4,X3,X2)
    | ~ epred2_4(X1,X4,X3,X2) ),
    inference(split_conjunct,[status(thm)],[i_0_83]),
    [final] ).

cnf(i_0_169,plain,
    ( X1 = vsubst(esk54_4(X2,X3,X4,X1),esk55_4(X2,X3,X4,X1),vabs(esk58_4(X2,X3,X4,X1),esk56_4(X2,X3,X4,X1),vsubst(esk57_4(X2,X3,X4,X1),vvar(esk58_4(X2,X3,X4,X1)),esk59_4(X2,X3,X4,X1))))
    | X3 = esk49_4(X2,X3,X4,X1)
    | X1 = vapp(vsubst(esk46_4(X2,X3,X4,X1),esk47_4(X2,X3,X4,X1),esk45_4(X2,X3,X4,X1)),vsubst(esk46_4(X2,X3,X4,X1),esk47_4(X2,X3,X4,X1),esk48_4(X2,X3,X4,X1)))
    | epred1_4(X1,X4,X3,X2)
    | ~ epred2_4(X1,X4,X3,X2) ),
    inference(split_conjunct,[status(thm)],[i_0_83]),
    [final] ).

cnf(i_0_170,plain,
    ( esk58_4(X1,X2,X3,X4) = vgensym(vapp(vapp(esk55_4(X1,X2,X3,X4),esk59_4(X1,X2,X3,X4)),vvar(esk54_4(X1,X2,X3,X4))))
    | X3 = vabs(esk51_4(X1,X2,X3,X4),esk52_4(X1,X2,X3,X4),esk53_4(X1,X2,X3,X4))
    | X4 = vapp(vsubst(esk46_4(X1,X2,X3,X4),esk47_4(X1,X2,X3,X4),esk45_4(X1,X2,X3,X4)),vsubst(esk46_4(X1,X2,X3,X4),esk47_4(X1,X2,X3,X4),esk48_4(X1,X2,X3,X4)))
    | epred1_4(X4,X3,X2,X1)
    | ~ epred2_4(X4,X3,X2,X1) ),
    inference(split_conjunct,[status(thm)],[i_0_83]),
    [final] ).

cnf(i_0_171,plain,
    ( esk58_4(X1,X2,X3,X4) = vgensym(vapp(vapp(esk55_4(X1,X2,X3,X4),esk59_4(X1,X2,X3,X4)),vvar(esk54_4(X1,X2,X3,X4))))
    | X4 = vabs(esk51_4(X1,X2,X3,X4),esk52_4(X1,X2,X3,X4),esk53_4(X1,X2,X3,X4))
    | X4 = vapp(vsubst(esk46_4(X1,X2,X3,X4),esk47_4(X1,X2,X3,X4),esk45_4(X1,X2,X3,X4)),vsubst(esk46_4(X1,X2,X3,X4),esk47_4(X1,X2,X3,X4),esk48_4(X1,X2,X3,X4)))
    | epred1_4(X4,X3,X2,X1)
    | ~ epred2_4(X4,X3,X2,X1) ),
    inference(split_conjunct,[status(thm)],[i_0_83]),
    [final] ).

cnf(i_0_172,plain,
    ( X1 = vsubst(esk54_4(X2,X3,X4,X1),esk55_4(X2,X3,X4,X1),vabs(esk58_4(X2,X3,X4,X1),esk56_4(X2,X3,X4,X1),vsubst(esk57_4(X2,X3,X4,X1),vvar(esk58_4(X2,X3,X4,X1)),esk59_4(X2,X3,X4,X1))))
    | X1 = vabs(esk51_4(X2,X3,X4,X1),esk52_4(X2,X3,X4,X1),esk53_4(X2,X3,X4,X1))
    | X4 = vapp(esk45_4(X2,X3,X4,X1),esk48_4(X2,X3,X4,X1))
    | epred1_4(X1,X4,X3,X2)
    | ~ epred2_4(X1,X4,X3,X2) ),
    inference(split_conjunct,[status(thm)],[i_0_83]),
    [final] ).

cnf(i_0_173,plain,
    ( X1 = vsubst(esk54_4(X2,X3,X4,X1),esk55_4(X2,X3,X4,X1),vabs(esk58_4(X2,X3,X4,X1),esk56_4(X2,X3,X4,X1),vsubst(esk57_4(X2,X3,X4,X1),vvar(esk58_4(X2,X3,X4,X1)),esk59_4(X2,X3,X4,X1))))
    | X4 = vabs(esk51_4(X2,X3,X4,X1),esk52_4(X2,X3,X4,X1),esk53_4(X2,X3,X4,X1))
    | X4 = vapp(esk45_4(X2,X3,X4,X1),esk48_4(X2,X3,X4,X1))
    | epred1_4(X1,X4,X3,X2)
    | ~ epred2_4(X1,X4,X3,X2) ),
    inference(split_conjunct,[status(thm)],[i_0_83]),
    [final] ).

cnf(i_0_174,plain,
    ( X1 = vsubst(esk54_4(X2,X3,X4,X1),esk55_4(X2,X3,X4,X1),vabs(esk58_4(X2,X3,X4,X1),esk56_4(X2,X3,X4,X1),vsubst(esk57_4(X2,X3,X4,X1),vvar(esk58_4(X2,X3,X4,X1)),esk59_4(X2,X3,X4,X1))))
    | X1 = vabs(esk51_4(X2,X3,X4,X1),esk52_4(X2,X3,X4,X1),esk53_4(X2,X3,X4,X1))
    | X2 = esk46_4(X2,X3,X4,X1)
    | epred1_4(X1,X4,X3,X2)
    | ~ epred2_4(X1,X4,X3,X2) ),
    inference(split_conjunct,[status(thm)],[i_0_83]),
    [final] ).

cnf(i_0_175,plain,
    ( X1 = vsubst(esk54_4(X2,X3,X4,X1),esk55_4(X2,X3,X4,X1),vabs(esk58_4(X2,X3,X4,X1),esk56_4(X2,X3,X4,X1),vsubst(esk57_4(X2,X3,X4,X1),vvar(esk58_4(X2,X3,X4,X1)),esk59_4(X2,X3,X4,X1))))
    | X4 = vabs(esk51_4(X2,X3,X4,X1),esk52_4(X2,X3,X4,X1),esk53_4(X2,X3,X4,X1))
    | X2 = esk46_4(X2,X3,X4,X1)
    | epred1_4(X1,X4,X3,X2)
    | ~ epred2_4(X1,X4,X3,X2) ),
    inference(split_conjunct,[status(thm)],[i_0_83]),
    [final] ).

cnf(i_0_176,plain,
    ( X1 = vsubst(esk54_4(X2,X3,X4,X1),esk55_4(X2,X3,X4,X1),vabs(esk58_4(X2,X3,X4,X1),esk56_4(X2,X3,X4,X1),vsubst(esk57_4(X2,X3,X4,X1),vvar(esk58_4(X2,X3,X4,X1)),esk59_4(X2,X3,X4,X1))))
    | X1 = vabs(esk51_4(X2,X3,X4,X1),esk52_4(X2,X3,X4,X1),esk53_4(X2,X3,X4,X1))
    | X3 = esk47_4(X2,X3,X4,X1)
    | epred1_4(X1,X4,X3,X2)
    | ~ epred2_4(X1,X4,X3,X2) ),
    inference(split_conjunct,[status(thm)],[i_0_83]),
    [final] ).

cnf(i_0_177,plain,
    ( X1 = vsubst(esk54_4(X2,X3,X4,X1),esk55_4(X2,X3,X4,X1),vabs(esk58_4(X2,X3,X4,X1),esk56_4(X2,X3,X4,X1),vsubst(esk57_4(X2,X3,X4,X1),vvar(esk58_4(X2,X3,X4,X1)),esk59_4(X2,X3,X4,X1))))
    | X4 = vabs(esk51_4(X2,X3,X4,X1),esk52_4(X2,X3,X4,X1),esk53_4(X2,X3,X4,X1))
    | X3 = esk47_4(X2,X3,X4,X1)
    | epred1_4(X1,X4,X3,X2)
    | ~ epred2_4(X1,X4,X3,X2) ),
    inference(split_conjunct,[status(thm)],[i_0_83]),
    [final] ).

cnf(i_0_178,plain,
    ( esk58_4(X1,X2,X3,X4) = vgensym(vapp(vapp(esk55_4(X1,X2,X3,X4),esk59_4(X1,X2,X3,X4)),vvar(esk54_4(X1,X2,X3,X4))))
    | esk50_4(X1,X2,X3,X4) = esk51_4(X1,X2,X3,X4)
    | X4 = vapp(vsubst(esk46_4(X1,X2,X3,X4),esk47_4(X1,X2,X3,X4),esk45_4(X1,X2,X3,X4)),vsubst(esk46_4(X1,X2,X3,X4),esk47_4(X1,X2,X3,X4),esk48_4(X1,X2,X3,X4)))
    | epred1_4(X4,X3,X2,X1)
    | ~ epred2_4(X4,X3,X2,X1) ),
    inference(split_conjunct,[status(thm)],[i_0_83]),
    [final] ).

cnf(i_0_179,plain,
    ( X1 = vsubst(esk54_4(X2,X3,X4,X1),esk55_4(X2,X3,X4,X1),vabs(esk58_4(X2,X3,X4,X1),esk56_4(X2,X3,X4,X1),vsubst(esk57_4(X2,X3,X4,X1),vvar(esk58_4(X2,X3,X4,X1)),esk59_4(X2,X3,X4,X1))))
    | esk50_4(X2,X3,X4,X1) = esk51_4(X2,X3,X4,X1)
    | X4 = vapp(esk45_4(X2,X3,X4,X1),esk48_4(X2,X3,X4,X1))
    | epred1_4(X1,X4,X3,X2)
    | ~ epred2_4(X1,X4,X3,X2) ),
    inference(split_conjunct,[status(thm)],[i_0_83]),
    [final] ).

cnf(i_0_180,plain,
    ( esk58_4(X1,X2,X3,X4) = vgensym(vapp(vapp(esk55_4(X1,X2,X3,X4),esk59_4(X1,X2,X3,X4)),vvar(esk54_4(X1,X2,X3,X4))))
    | X1 = esk50_4(X1,X2,X3,X4)
    | X4 = vapp(vsubst(esk46_4(X1,X2,X3,X4),esk47_4(X1,X2,X3,X4),esk45_4(X1,X2,X3,X4)),vsubst(esk46_4(X1,X2,X3,X4),esk47_4(X1,X2,X3,X4),esk48_4(X1,X2,X3,X4)))
    | epred1_4(X4,X3,X2,X1)
    | ~ epred2_4(X4,X3,X2,X1) ),
    inference(split_conjunct,[status(thm)],[i_0_83]),
    [final] ).

cnf(i_0_181,plain,
    ( esk58_4(X1,X2,X3,X4) = vgensym(vapp(vapp(esk55_4(X1,X2,X3,X4),esk59_4(X1,X2,X3,X4)),vvar(esk54_4(X1,X2,X3,X4))))
    | X2 = esk49_4(X1,X2,X3,X4)
    | X4 = vapp(vsubst(esk46_4(X1,X2,X3,X4),esk47_4(X1,X2,X3,X4),esk45_4(X1,X2,X3,X4)),vsubst(esk46_4(X1,X2,X3,X4),esk47_4(X1,X2,X3,X4),esk48_4(X1,X2,X3,X4)))
    | epred1_4(X4,X3,X2,X1)
    | ~ epred2_4(X4,X3,X2,X1) ),
    inference(split_conjunct,[status(thm)],[i_0_83]),
    [final] ).

cnf(i_0_182,plain,
    ( X1 = vsubst(esk54_4(X2,X3,X4,X1),esk55_4(X2,X3,X4,X1),vabs(esk58_4(X2,X3,X4,X1),esk56_4(X2,X3,X4,X1),vsubst(esk57_4(X2,X3,X4,X1),vvar(esk58_4(X2,X3,X4,X1)),esk59_4(X2,X3,X4,X1))))
    | X2 = esk50_4(X2,X3,X4,X1)
    | X4 = vapp(esk45_4(X2,X3,X4,X1),esk48_4(X2,X3,X4,X1))
    | epred1_4(X1,X4,X3,X2)
    | ~ epred2_4(X1,X4,X3,X2) ),
    inference(split_conjunct,[status(thm)],[i_0_83]),
    [final] ).

cnf(i_0_183,plain,
    ( X1 = vsubst(esk54_4(X2,X3,X4,X1),esk55_4(X2,X3,X4,X1),vabs(esk58_4(X2,X3,X4,X1),esk56_4(X2,X3,X4,X1),vsubst(esk57_4(X2,X3,X4,X1),vvar(esk58_4(X2,X3,X4,X1)),esk59_4(X2,X3,X4,X1))))
    | X3 = esk49_4(X2,X3,X4,X1)
    | X4 = vapp(esk45_4(X2,X3,X4,X1),esk48_4(X2,X3,X4,X1))
    | epred1_4(X1,X4,X3,X2)
    | ~ epred2_4(X1,X4,X3,X2) ),
    inference(split_conjunct,[status(thm)],[i_0_83]),
    [final] ).

cnf(i_0_184,plain,
    ( X1 = vsubst(esk54_4(X2,X3,X4,X1),esk55_4(X2,X3,X4,X1),vabs(esk58_4(X2,X3,X4,X1),esk56_4(X2,X3,X4,X1),vsubst(esk57_4(X2,X3,X4,X1),vvar(esk58_4(X2,X3,X4,X1)),esk59_4(X2,X3,X4,X1))))
    | esk50_4(X2,X3,X4,X1) = esk51_4(X2,X3,X4,X1)
    | X2 = esk46_4(X2,X3,X4,X1)
    | epred1_4(X1,X4,X3,X2)
    | ~ epred2_4(X1,X4,X3,X2) ),
    inference(split_conjunct,[status(thm)],[i_0_83]),
    [final] ).

cnf(i_0_185,plain,
    ( X1 = vsubst(esk54_4(X2,X3,X4,X1),esk55_4(X2,X3,X4,X1),vabs(esk58_4(X2,X3,X4,X1),esk56_4(X2,X3,X4,X1),vsubst(esk57_4(X2,X3,X4,X1),vvar(esk58_4(X2,X3,X4,X1)),esk59_4(X2,X3,X4,X1))))
    | esk50_4(X2,X3,X4,X1) = esk51_4(X2,X3,X4,X1)
    | X3 = esk47_4(X2,X3,X4,X1)
    | epred1_4(X1,X4,X3,X2)
    | ~ epred2_4(X1,X4,X3,X2) ),
    inference(split_conjunct,[status(thm)],[i_0_83]),
    [final] ).

cnf(i_0_186,plain,
    ( X1 = vsubst(esk54_4(X2,X3,X4,X1),esk55_4(X2,X3,X4,X1),vabs(esk58_4(X2,X3,X4,X1),esk56_4(X2,X3,X4,X1),vsubst(esk57_4(X2,X3,X4,X1),vvar(esk58_4(X2,X3,X4,X1)),esk59_4(X2,X3,X4,X1))))
    | X2 = esk50_4(X2,X3,X4,X1)
    | X2 = esk46_4(X2,X3,X4,X1)
    | epred1_4(X1,X4,X3,X2)
    | ~ epred2_4(X1,X4,X3,X2) ),
    inference(split_conjunct,[status(thm)],[i_0_83]),
    [final] ).

cnf(i_0_187,plain,
    ( X1 = vsubst(esk54_4(X2,X3,X4,X1),esk55_4(X2,X3,X4,X1),vabs(esk58_4(X2,X3,X4,X1),esk56_4(X2,X3,X4,X1),vsubst(esk57_4(X2,X3,X4,X1),vvar(esk58_4(X2,X3,X4,X1)),esk59_4(X2,X3,X4,X1))))
    | X3 = esk49_4(X2,X3,X4,X1)
    | X2 = esk46_4(X2,X3,X4,X1)
    | epred1_4(X1,X4,X3,X2)
    | ~ epred2_4(X1,X4,X3,X2) ),
    inference(split_conjunct,[status(thm)],[i_0_83]),
    [final] ).

cnf(i_0_188,plain,
    ( X1 = vsubst(esk54_4(X2,X3,X4,X1),esk55_4(X2,X3,X4,X1),vabs(esk58_4(X2,X3,X4,X1),esk56_4(X2,X3,X4,X1),vsubst(esk57_4(X2,X3,X4,X1),vvar(esk58_4(X2,X3,X4,X1)),esk59_4(X2,X3,X4,X1))))
    | X2 = esk50_4(X2,X3,X4,X1)
    | X3 = esk47_4(X2,X3,X4,X1)
    | epred1_4(X1,X4,X3,X2)
    | ~ epred2_4(X1,X4,X3,X2) ),
    inference(split_conjunct,[status(thm)],[i_0_83]),
    [final] ).

cnf(i_0_189,plain,
    ( X1 = vsubst(esk54_4(X2,X3,X4,X1),esk55_4(X2,X3,X4,X1),vabs(esk58_4(X2,X3,X4,X1),esk56_4(X2,X3,X4,X1),vsubst(esk57_4(X2,X3,X4,X1),vvar(esk58_4(X2,X3,X4,X1)),esk59_4(X2,X3,X4,X1))))
    | X3 = esk49_4(X2,X3,X4,X1)
    | X3 = esk47_4(X2,X3,X4,X1)
    | epred1_4(X1,X4,X3,X2)
    | ~ epred2_4(X1,X4,X3,X2) ),
    inference(split_conjunct,[status(thm)],[i_0_83]),
    [final] ).

cnf(i_0_190,plain,
    ( X1 = vabs(esk57_4(X2,X3,X1,X4),esk56_4(X2,X3,X1,X4),esk59_4(X2,X3,X1,X4))
    | X1 = vabs(esk51_4(X2,X3,X1,X4),esk52_4(X2,X3,X1,X4),esk53_4(X2,X3,X1,X4))
    | X4 = vapp(vsubst(esk46_4(X2,X3,X1,X4),esk47_4(X2,X3,X1,X4),esk45_4(X2,X3,X1,X4)),vsubst(esk46_4(X2,X3,X1,X4),esk47_4(X2,X3,X1,X4),esk48_4(X2,X3,X1,X4)))
    | epred1_4(X4,X1,X3,X2)
    | ~ epred2_4(X4,X1,X3,X2) ),
    inference(split_conjunct,[status(thm)],[i_0_83]),
    [final] ).

cnf(i_0_191,plain,
    ( X1 = vabs(esk57_4(X2,X3,X1,X4),esk56_4(X2,X3,X1,X4),esk59_4(X2,X3,X1,X4))
    | X4 = vabs(esk51_4(X2,X3,X1,X4),esk52_4(X2,X3,X1,X4),esk53_4(X2,X3,X1,X4))
    | X4 = vapp(vsubst(esk46_4(X2,X3,X1,X4),esk47_4(X2,X3,X1,X4),esk45_4(X2,X3,X1,X4)),vsubst(esk46_4(X2,X3,X1,X4),esk47_4(X2,X3,X1,X4),esk48_4(X2,X3,X1,X4)))
    | epred1_4(X4,X1,X3,X2)
    | ~ epred2_4(X4,X1,X3,X2) ),
    inference(split_conjunct,[status(thm)],[i_0_83]),
    [final] ).

cnf(i_0_192,plain,
    ( esk58_4(X1,X2,X3,X4) = vgensym(vapp(vapp(esk55_4(X1,X2,X3,X4),esk59_4(X1,X2,X3,X4)),vvar(esk54_4(X1,X2,X3,X4))))
    | X3 = vabs(esk51_4(X1,X2,X3,X4),esk52_4(X1,X2,X3,X4),esk53_4(X1,X2,X3,X4))
    | X3 = vapp(esk45_4(X1,X2,X3,X4),esk48_4(X1,X2,X3,X4))
    | epred1_4(X4,X3,X2,X1)
    | ~ epred2_4(X4,X3,X2,X1) ),
    inference(split_conjunct,[status(thm)],[i_0_83]),
    [final] ).

cnf(i_0_193,plain,
    ( esk58_4(X1,X2,X3,X4) = vgensym(vapp(vapp(esk55_4(X1,X2,X3,X4),esk59_4(X1,X2,X3,X4)),vvar(esk54_4(X1,X2,X3,X4))))
    | X4 = vabs(esk51_4(X1,X2,X3,X4),esk52_4(X1,X2,X3,X4),esk53_4(X1,X2,X3,X4))
    | X3 = vapp(esk45_4(X1,X2,X3,X4),esk48_4(X1,X2,X3,X4))
    | epred1_4(X4,X3,X2,X1)
    | ~ epred2_4(X4,X3,X2,X1) ),
    inference(split_conjunct,[status(thm)],[i_0_83]),
    [final] ).

cnf(i_0_194,plain,
    ( visFreeVar(esk57_4(X1,X2,X3,X4),esk55_4(X1,X2,X3,X4))
    | X3 = vabs(esk51_4(X1,X2,X3,X4),esk52_4(X1,X2,X3,X4),esk53_4(X1,X2,X3,X4))
    | X4 = vapp(vsubst(esk46_4(X1,X2,X3,X4),esk47_4(X1,X2,X3,X4),esk45_4(X1,X2,X3,X4)),vsubst(esk46_4(X1,X2,X3,X4),esk47_4(X1,X2,X3,X4),esk48_4(X1,X2,X3,X4)))
    | epred1_4(X4,X3,X2,X1)
    | ~ epred2_4(X4,X3,X2,X1) ),
    inference(split_conjunct,[status(thm)],[i_0_83]),
    [final] ).

cnf(i_0_195,plain,
    ( visFreeVar(esk57_4(X1,X2,X3,X4),esk55_4(X1,X2,X3,X4))
    | X4 = vabs(esk51_4(X1,X2,X3,X4),esk52_4(X1,X2,X3,X4),esk53_4(X1,X2,X3,X4))
    | X4 = vapp(vsubst(esk46_4(X1,X2,X3,X4),esk47_4(X1,X2,X3,X4),esk45_4(X1,X2,X3,X4)),vsubst(esk46_4(X1,X2,X3,X4),esk47_4(X1,X2,X3,X4),esk48_4(X1,X2,X3,X4)))
    | epred1_4(X4,X3,X2,X1)
    | ~ epred2_4(X4,X3,X2,X1) ),
    inference(split_conjunct,[status(thm)],[i_0_83]),
    [final] ).

cnf(i_0_196,plain,
    ( X3 = vabs(esk51_4(X1,X2,X3,X4),esk52_4(X1,X2,X3,X4),esk53_4(X1,X2,X3,X4))
    | X4 = vapp(vsubst(esk46_4(X1,X2,X3,X4),esk47_4(X1,X2,X3,X4),esk45_4(X1,X2,X3,X4)),vsubst(esk46_4(X1,X2,X3,X4),esk47_4(X1,X2,X3,X4),esk48_4(X1,X2,X3,X4)))
    | epred1_4(X4,X3,X2,X1)
    | esk54_4(X1,X2,X3,X4) != esk57_4(X1,X2,X3,X4)
    | ~ epred2_4(X4,X3,X2,X1) ),
    inference(split_conjunct,[status(thm)],[i_0_83]),
    [final] ).

cnf(i_0_197,plain,
    ( X4 = vabs(esk51_4(X1,X2,X3,X4),esk52_4(X1,X2,X3,X4),esk53_4(X1,X2,X3,X4))
    | X4 = vapp(vsubst(esk46_4(X1,X2,X3,X4),esk47_4(X1,X2,X3,X4),esk45_4(X1,X2,X3,X4)),vsubst(esk46_4(X1,X2,X3,X4),esk47_4(X1,X2,X3,X4),esk48_4(X1,X2,X3,X4)))
    | epred1_4(X4,X3,X2,X1)
    | esk54_4(X1,X2,X3,X4) != esk57_4(X1,X2,X3,X4)
    | ~ epred2_4(X4,X3,X2,X1) ),
    inference(split_conjunct,[status(thm)],[i_0_83]),
    [final] ).

cnf(i_0_198,plain,
    ( X1 = vabs(esk57_4(X2,X3,X1,X4),esk56_4(X2,X3,X1,X4),esk59_4(X2,X3,X1,X4))
    | esk50_4(X2,X3,X1,X4) = esk51_4(X2,X3,X1,X4)
    | X4 = vapp(vsubst(esk46_4(X2,X3,X1,X4),esk47_4(X2,X3,X1,X4),esk45_4(X2,X3,X1,X4)),vsubst(esk46_4(X2,X3,X1,X4),esk47_4(X2,X3,X1,X4),esk48_4(X2,X3,X1,X4)))
    | epred1_4(X4,X1,X3,X2)
    | ~ epred2_4(X4,X1,X3,X2) ),
    inference(split_conjunct,[status(thm)],[i_0_83]),
    [final] ).

cnf(i_0_199,plain,
    ( esk58_4(X1,X2,X3,X4) = vgensym(vapp(vapp(esk55_4(X1,X2,X3,X4),esk59_4(X1,X2,X3,X4)),vvar(esk54_4(X1,X2,X3,X4))))
    | X3 = vabs(esk51_4(X1,X2,X3,X4),esk52_4(X1,X2,X3,X4),esk53_4(X1,X2,X3,X4))
    | X1 = esk46_4(X1,X2,X3,X4)
    | epred1_4(X4,X3,X2,X1)
    | ~ epred2_4(X4,X3,X2,X1) ),
    inference(split_conjunct,[status(thm)],[i_0_83]),
    [final] ).

cnf(i_0_200,plain,
    ( esk58_4(X1,X2,X3,X4) = vgensym(vapp(vapp(esk55_4(X1,X2,X3,X4),esk59_4(X1,X2,X3,X4)),vvar(esk54_4(X1,X2,X3,X4))))
    | X4 = vabs(esk51_4(X1,X2,X3,X4),esk52_4(X1,X2,X3,X4),esk53_4(X1,X2,X3,X4))
    | X1 = esk46_4(X1,X2,X3,X4)
    | epred1_4(X4,X3,X2,X1)
    | ~ epred2_4(X4,X3,X2,X1) ),
    inference(split_conjunct,[status(thm)],[i_0_83]),
    [final] ).

cnf(i_0_201,plain,
    ( esk58_4(X1,X2,X3,X4) = vgensym(vapp(vapp(esk55_4(X1,X2,X3,X4),esk59_4(X1,X2,X3,X4)),vvar(esk54_4(X1,X2,X3,X4))))
    | X3 = vabs(esk51_4(X1,X2,X3,X4),esk52_4(X1,X2,X3,X4),esk53_4(X1,X2,X3,X4))
    | X2 = esk47_4(X1,X2,X3,X4)
    | epred1_4(X4,X3,X2,X1)
    | ~ epred2_4(X4,X3,X2,X1) ),
    inference(split_conjunct,[status(thm)],[i_0_83]),
    [final] ).

cnf(i_0_202,plain,
    ( esk58_4(X1,X2,X3,X4) = vgensym(vapp(vapp(esk55_4(X1,X2,X3,X4),esk59_4(X1,X2,X3,X4)),vvar(esk54_4(X1,X2,X3,X4))))
    | X4 = vabs(esk51_4(X1,X2,X3,X4),esk52_4(X1,X2,X3,X4),esk53_4(X1,X2,X3,X4))
    | X2 = esk47_4(X1,X2,X3,X4)
    | epred1_4(X4,X3,X2,X1)
    | ~ epred2_4(X4,X3,X2,X1) ),
    inference(split_conjunct,[status(thm)],[i_0_83]),
    [final] ).

cnf(i_0_203,plain,
    ( X1 = esk55_4(X2,X1,X3,X4)
    | X3 = vabs(esk51_4(X2,X1,X3,X4),esk52_4(X2,X1,X3,X4),esk53_4(X2,X1,X3,X4))
    | X4 = vapp(vsubst(esk46_4(X2,X1,X3,X4),esk47_4(X2,X1,X3,X4),esk45_4(X2,X1,X3,X4)),vsubst(esk46_4(X2,X1,X3,X4),esk47_4(X2,X1,X3,X4),esk48_4(X2,X1,X3,X4)))
    | epred1_4(X4,X3,X1,X2)
    | ~ epred2_4(X4,X3,X1,X2) ),
    inference(split_conjunct,[status(thm)],[i_0_83]),
    [final] ).

cnf(i_0_204,plain,
    ( X1 = esk55_4(X2,X1,X3,X4)
    | X4 = vabs(esk51_4(X2,X1,X3,X4),esk52_4(X2,X1,X3,X4),esk53_4(X2,X1,X3,X4))
    | X4 = vapp(vsubst(esk46_4(X2,X1,X3,X4),esk47_4(X2,X1,X3,X4),esk45_4(X2,X1,X3,X4)),vsubst(esk46_4(X2,X1,X3,X4),esk47_4(X2,X1,X3,X4),esk48_4(X2,X1,X3,X4)))
    | epred1_4(X4,X3,X1,X2)
    | ~ epred2_4(X4,X3,X1,X2) ),
    inference(split_conjunct,[status(thm)],[i_0_83]),
    [final] ).

cnf(i_0_205,plain,
    ( X1 = esk54_4(X1,X2,X3,X4)
    | X3 = vabs(esk51_4(X1,X2,X3,X4),esk52_4(X1,X2,X3,X4),esk53_4(X1,X2,X3,X4))
    | X4 = vapp(vsubst(esk46_4(X1,X2,X3,X4),esk47_4(X1,X2,X3,X4),esk45_4(X1,X2,X3,X4)),vsubst(esk46_4(X1,X2,X3,X4),esk47_4(X1,X2,X3,X4),esk48_4(X1,X2,X3,X4)))
    | epred1_4(X4,X3,X2,X1)
    | ~ epred2_4(X4,X3,X2,X1) ),
    inference(split_conjunct,[status(thm)],[i_0_83]),
    [final] ).

cnf(i_0_206,plain,
    ( X1 = esk54_4(X1,X2,X3,X4)
    | X4 = vabs(esk51_4(X1,X2,X3,X4),esk52_4(X1,X2,X3,X4),esk53_4(X1,X2,X3,X4))
    | X4 = vapp(vsubst(esk46_4(X1,X2,X3,X4),esk47_4(X1,X2,X3,X4),esk45_4(X1,X2,X3,X4)),vsubst(esk46_4(X1,X2,X3,X4),esk47_4(X1,X2,X3,X4),esk48_4(X1,X2,X3,X4)))
    | epred1_4(X4,X3,X2,X1)
    | ~ epred2_4(X4,X3,X2,X1) ),
    inference(split_conjunct,[status(thm)],[i_0_83]),
    [final] ).

cnf(i_0_207,plain,
    ( X1 = vabs(esk57_4(X2,X3,X1,X4),esk56_4(X2,X3,X1,X4),esk59_4(X2,X3,X1,X4))
    | X2 = esk50_4(X2,X3,X1,X4)
    | X4 = vapp(vsubst(esk46_4(X2,X3,X1,X4),esk47_4(X2,X3,X1,X4),esk45_4(X2,X3,X1,X4)),vsubst(esk46_4(X2,X3,X1,X4),esk47_4(X2,X3,X1,X4),esk48_4(X2,X3,X1,X4)))
    | epred1_4(X4,X1,X3,X2)
    | ~ epred2_4(X4,X1,X3,X2) ),
    inference(split_conjunct,[status(thm)],[i_0_83]),
    [final] ).

cnf(i_0_208,plain,
    ( X1 = vabs(esk57_4(X2,X3,X1,X4),esk56_4(X2,X3,X1,X4),esk59_4(X2,X3,X1,X4))
    | X3 = esk49_4(X2,X3,X1,X4)
    | X4 = vapp(vsubst(esk46_4(X2,X3,X1,X4),esk47_4(X2,X3,X1,X4),esk45_4(X2,X3,X1,X4)),vsubst(esk46_4(X2,X3,X1,X4),esk47_4(X2,X3,X1,X4),esk48_4(X2,X3,X1,X4)))
    | epred1_4(X4,X1,X3,X2)
    | ~ epred2_4(X4,X1,X3,X2) ),
    inference(split_conjunct,[status(thm)],[i_0_83]),
    [final] ).

cnf(i_0_209,plain,
    ( esk58_4(X1,X2,X3,X4) = vgensym(vapp(vapp(esk55_4(X1,X2,X3,X4),esk59_4(X1,X2,X3,X4)),vvar(esk54_4(X1,X2,X3,X4))))
    | esk50_4(X1,X2,X3,X4) = esk51_4(X1,X2,X3,X4)
    | X3 = vapp(esk45_4(X1,X2,X3,X4),esk48_4(X1,X2,X3,X4))
    | epred1_4(X4,X3,X2,X1)
    | ~ epred2_4(X4,X3,X2,X1) ),
    inference(split_conjunct,[status(thm)],[i_0_83]),
    [final] ).

cnf(i_0_210,plain,
    ( visFreeVar(esk57_4(X1,X2,X3,X4),esk55_4(X1,X2,X3,X4))
    | esk50_4(X1,X2,X3,X4) = esk51_4(X1,X2,X3,X4)
    | X4 = vapp(vsubst(esk46_4(X1,X2,X3,X4),esk47_4(X1,X2,X3,X4),esk45_4(X1,X2,X3,X4)),vsubst(esk46_4(X1,X2,X3,X4),esk47_4(X1,X2,X3,X4),esk48_4(X1,X2,X3,X4)))
    | epred1_4(X4,X3,X2,X1)
    | ~ epred2_4(X4,X3,X2,X1) ),
    inference(split_conjunct,[status(thm)],[i_0_83]),
    [final] ).

cnf(i_0_211,plain,
    ( esk58_4(X1,X2,X3,X4) = vgensym(vapp(vapp(esk55_4(X1,X2,X3,X4),esk59_4(X1,X2,X3,X4)),vvar(esk54_4(X1,X2,X3,X4))))
    | X1 = esk50_4(X1,X2,X3,X4)
    | X3 = vapp(esk45_4(X1,X2,X3,X4),esk48_4(X1,X2,X3,X4))
    | epred1_4(X4,X3,X2,X1)
    | ~ epred2_4(X4,X3,X2,X1) ),
    inference(split_conjunct,[status(thm)],[i_0_83]),
    [final] ).

cnf(i_0_212,plain,
    ( esk58_4(X1,X2,X3,X4) = vgensym(vapp(vapp(esk55_4(X1,X2,X3,X4),esk59_4(X1,X2,X3,X4)),vvar(esk54_4(X1,X2,X3,X4))))
    | X2 = esk49_4(X1,X2,X3,X4)
    | X3 = vapp(esk45_4(X1,X2,X3,X4),esk48_4(X1,X2,X3,X4))
    | epred1_4(X4,X3,X2,X1)
    | ~ epred2_4(X4,X3,X2,X1) ),
    inference(split_conjunct,[status(thm)],[i_0_83]),
    [final] ).

cnf(i_0_213,plain,
    ( esk50_4(X1,X2,X3,X4) = esk51_4(X1,X2,X3,X4)
    | X4 = vapp(vsubst(esk46_4(X1,X2,X3,X4),esk47_4(X1,X2,X3,X4),esk45_4(X1,X2,X3,X4)),vsubst(esk46_4(X1,X2,X3,X4),esk47_4(X1,X2,X3,X4),esk48_4(X1,X2,X3,X4)))
    | epred1_4(X4,X3,X2,X1)
    | esk54_4(X1,X2,X3,X4) != esk57_4(X1,X2,X3,X4)
    | ~ epred2_4(X4,X3,X2,X1) ),
    inference(split_conjunct,[status(thm)],[i_0_83]),
    [final] ).

cnf(i_0_214,plain,
    ( visFreeVar(esk57_4(X1,X2,X3,X4),esk55_4(X1,X2,X3,X4))
    | X1 = esk50_4(X1,X2,X3,X4)
    | X4 = vapp(vsubst(esk46_4(X1,X2,X3,X4),esk47_4(X1,X2,X3,X4),esk45_4(X1,X2,X3,X4)),vsubst(esk46_4(X1,X2,X3,X4),esk47_4(X1,X2,X3,X4),esk48_4(X1,X2,X3,X4)))
    | epred1_4(X4,X3,X2,X1)
    | ~ epred2_4(X4,X3,X2,X1) ),
    inference(split_conjunct,[status(thm)],[i_0_83]),
    [final] ).

cnf(i_0_215,plain,
    ( visFreeVar(esk57_4(X1,X2,X3,X4),esk55_4(X1,X2,X3,X4))
    | X2 = esk49_4(X1,X2,X3,X4)
    | X4 = vapp(vsubst(esk46_4(X1,X2,X3,X4),esk47_4(X1,X2,X3,X4),esk45_4(X1,X2,X3,X4)),vsubst(esk46_4(X1,X2,X3,X4),esk47_4(X1,X2,X3,X4),esk48_4(X1,X2,X3,X4)))
    | epred1_4(X4,X3,X2,X1)
    | ~ epred2_4(X4,X3,X2,X1) ),
    inference(split_conjunct,[status(thm)],[i_0_83]),
    [final] ).

cnf(i_0_216,plain,
    ( X1 = esk50_4(X1,X2,X3,X4)
    | X4 = vapp(vsubst(esk46_4(X1,X2,X3,X4),esk47_4(X1,X2,X3,X4),esk45_4(X1,X2,X3,X4)),vsubst(esk46_4(X1,X2,X3,X4),esk47_4(X1,X2,X3,X4),esk48_4(X1,X2,X3,X4)))
    | epred1_4(X4,X3,X2,X1)
    | esk54_4(X1,X2,X3,X4) != esk57_4(X1,X2,X3,X4)
    | ~ epred2_4(X4,X3,X2,X1) ),
    inference(split_conjunct,[status(thm)],[i_0_83]),
    [final] ).

cnf(i_0_217,plain,
    ( X2 = esk49_4(X1,X2,X3,X4)
    | X4 = vapp(vsubst(esk46_4(X1,X2,X3,X4),esk47_4(X1,X2,X3,X4),esk45_4(X1,X2,X3,X4)),vsubst(esk46_4(X1,X2,X3,X4),esk47_4(X1,X2,X3,X4),esk48_4(X1,X2,X3,X4)))
    | epred1_4(X4,X3,X2,X1)
    | esk54_4(X1,X2,X3,X4) != esk57_4(X1,X2,X3,X4)
    | ~ epred2_4(X4,X3,X2,X1) ),
    inference(split_conjunct,[status(thm)],[i_0_83]),
    [final] ).

cnf(i_0_218,plain,
    ( esk58_4(X1,X2,X3,X4) = vgensym(vapp(vapp(esk55_4(X1,X2,X3,X4),esk59_4(X1,X2,X3,X4)),vvar(esk54_4(X1,X2,X3,X4))))
    | esk50_4(X1,X2,X3,X4) = esk51_4(X1,X2,X3,X4)
    | X1 = esk46_4(X1,X2,X3,X4)
    | epred1_4(X4,X3,X2,X1)
    | ~ epred2_4(X4,X3,X2,X1) ),
    inference(split_conjunct,[status(thm)],[i_0_83]),
    [final] ).

cnf(i_0_219,plain,
    ( esk58_4(X1,X2,X3,X4) = vgensym(vapp(vapp(esk55_4(X1,X2,X3,X4),esk59_4(X1,X2,X3,X4)),vvar(esk54_4(X1,X2,X3,X4))))
    | esk50_4(X1,X2,X3,X4) = esk51_4(X1,X2,X3,X4)
    | X2 = esk47_4(X1,X2,X3,X4)
    | epred1_4(X4,X3,X2,X1)
    | ~ epred2_4(X4,X3,X2,X1) ),
    inference(split_conjunct,[status(thm)],[i_0_83]),
    [final] ).

cnf(i_0_220,plain,
    ( X1 = esk55_4(X2,X1,X3,X4)
    | esk50_4(X2,X1,X3,X4) = esk51_4(X2,X1,X3,X4)
    | X4 = vapp(vsubst(esk46_4(X2,X1,X3,X4),esk47_4(X2,X1,X3,X4),esk45_4(X2,X1,X3,X4)),vsubst(esk46_4(X2,X1,X3,X4),esk47_4(X2,X1,X3,X4),esk48_4(X2,X1,X3,X4)))
    | epred1_4(X4,X3,X1,X2)
    | ~ epred2_4(X4,X3,X1,X2) ),
    inference(split_conjunct,[status(thm)],[i_0_83]),
    [final] ).

cnf(i_0_221,plain,
    ( X1 = esk54_4(X1,X2,X3,X4)
    | esk50_4(X1,X2,X3,X4) = esk51_4(X1,X2,X3,X4)
    | X4 = vapp(vsubst(esk46_4(X1,X2,X3,X4),esk47_4(X1,X2,X3,X4),esk45_4(X1,X2,X3,X4)),vsubst(esk46_4(X1,X2,X3,X4),esk47_4(X1,X2,X3,X4),esk48_4(X1,X2,X3,X4)))
    | epred1_4(X4,X3,X2,X1)
    | ~ epred2_4(X4,X3,X2,X1) ),
    inference(split_conjunct,[status(thm)],[i_0_83]),
    [final] ).

cnf(i_0_222,plain,
    ( esk58_4(X1,X2,X3,X4) = vgensym(vapp(vapp(esk55_4(X1,X2,X3,X4),esk59_4(X1,X2,X3,X4)),vvar(esk54_4(X1,X2,X3,X4))))
    | X1 = esk50_4(X1,X2,X3,X4)
    | X1 = esk46_4(X1,X2,X3,X4)
    | epred1_4(X4,X3,X2,X1)
    | ~ epred2_4(X4,X3,X2,X1) ),
    inference(split_conjunct,[status(thm)],[i_0_83]),
    [final] ).

cnf(i_0_223,plain,
    ( esk58_4(X1,X2,X3,X4) = vgensym(vapp(vapp(esk55_4(X1,X2,X3,X4),esk59_4(X1,X2,X3,X4)),vvar(esk54_4(X1,X2,X3,X4))))
    | X2 = esk49_4(X1,X2,X3,X4)
    | X1 = esk46_4(X1,X2,X3,X4)
    | epred1_4(X4,X3,X2,X1)
    | ~ epred2_4(X4,X3,X2,X1) ),
    inference(split_conjunct,[status(thm)],[i_0_83]),
    [final] ).

cnf(i_0_224,plain,
    ( esk58_4(X1,X2,X3,X4) = vgensym(vapp(vapp(esk55_4(X1,X2,X3,X4),esk59_4(X1,X2,X3,X4)),vvar(esk54_4(X1,X2,X3,X4))))
    | X1 = esk50_4(X1,X2,X3,X4)
    | X2 = esk47_4(X1,X2,X3,X4)
    | epred1_4(X4,X3,X2,X1)
    | ~ epred2_4(X4,X3,X2,X1) ),
    inference(split_conjunct,[status(thm)],[i_0_83]),
    [final] ).

cnf(i_0_225,plain,
    ( esk58_4(X1,X2,X3,X4) = vgensym(vapp(vapp(esk55_4(X1,X2,X3,X4),esk59_4(X1,X2,X3,X4)),vvar(esk54_4(X1,X2,X3,X4))))
    | X2 = esk49_4(X1,X2,X3,X4)
    | X2 = esk47_4(X1,X2,X3,X4)
    | epred1_4(X4,X3,X2,X1)
    | ~ epred2_4(X4,X3,X2,X1) ),
    inference(split_conjunct,[status(thm)],[i_0_83]),
    [final] ).

cnf(i_0_226,plain,
    ( X2 = vabs(esk15_5(X2,X1,X4,X5,X3),esk16_5(X2,X1,X4,X5,X3),esk17_5(X2,X1,X4,X5,X3))
    | X4 = vsomeExp(vapp(vgetSomeExp(X5),X3))
    | X1 != vapp(X2,X3)
    | X5 != vreduce(X2)
    | ~ visSomeExp(X5)
    | X4 != vreduce(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_84]),
    [final] ).

cnf(i_0_227,plain,
    ( X1 = esk54_4(X1,X2,X3,X4)
    | X1 = esk50_4(X1,X2,X3,X4)
    | X4 = vapp(vsubst(esk46_4(X1,X2,X3,X4),esk47_4(X1,X2,X3,X4),esk45_4(X1,X2,X3,X4)),vsubst(esk46_4(X1,X2,X3,X4),esk47_4(X1,X2,X3,X4),esk48_4(X1,X2,X3,X4)))
    | epred1_4(X4,X3,X2,X1)
    | ~ epred2_4(X4,X3,X2,X1) ),
    inference(split_conjunct,[status(thm)],[i_0_83]),
    [final] ).

cnf(i_0_228,plain,
    ( X1 = esk55_4(X2,X1,X3,X4)
    | X1 = esk49_4(X2,X1,X3,X4)
    | X4 = vapp(vsubst(esk46_4(X2,X1,X3,X4),esk47_4(X2,X1,X3,X4),esk45_4(X2,X1,X3,X4)),vsubst(esk46_4(X2,X1,X3,X4),esk47_4(X2,X1,X3,X4),esk48_4(X2,X1,X3,X4)))
    | epred1_4(X4,X3,X1,X2)
    | ~ epred2_4(X4,X3,X1,X2) ),
    inference(split_conjunct,[status(thm)],[i_0_83]),
    [final] ).

cnf(i_0_229,plain,
    ( X1 = esk55_4(X2,X1,X3,X4)
    | X2 = esk50_4(X2,X1,X3,X4)
    | X4 = vapp(vsubst(esk46_4(X2,X1,X3,X4),esk47_4(X2,X1,X3,X4),esk45_4(X2,X1,X3,X4)),vsubst(esk46_4(X2,X1,X3,X4),esk47_4(X2,X1,X3,X4),esk48_4(X2,X1,X3,X4)))
    | epred1_4(X4,X3,X1,X2)
    | ~ epred2_4(X4,X3,X1,X2) ),
    inference(split_conjunct,[status(thm)],[i_0_83]),
    [final] ).

cnf(i_0_230,plain,
    ( X1 = esk54_4(X1,X2,X3,X4)
    | X2 = esk49_4(X1,X2,X3,X4)
    | X4 = vapp(vsubst(esk46_4(X1,X2,X3,X4),esk47_4(X1,X2,X3,X4),esk45_4(X1,X2,X3,X4)),vsubst(esk46_4(X1,X2,X3,X4),esk47_4(X1,X2,X3,X4),esk48_4(X1,X2,X3,X4)))
    | epred1_4(X4,X3,X2,X1)
    | ~ epred2_4(X4,X3,X2,X1) ),
    inference(split_conjunct,[status(thm)],[i_0_83]),
    [final] ).

cnf(i_0_231,plain,
    ( X1 = vabs(esk57_4(X2,X3,X1,X4),esk56_4(X2,X3,X1,X4),esk59_4(X2,X3,X1,X4))
    | X1 = vabs(esk51_4(X2,X3,X1,X4),esk52_4(X2,X3,X1,X4),esk53_4(X2,X3,X1,X4))
    | X1 = vapp(esk45_4(X2,X3,X1,X4),esk48_4(X2,X3,X1,X4))
    | epred1_4(X4,X1,X3,X2)
    | ~ epred2_4(X4,X1,X3,X2) ),
    inference(split_conjunct,[status(thm)],[i_0_83]),
    [final] ).

cnf(i_0_232,plain,
    ( X1 = vabs(esk57_4(X2,X3,X1,X4),esk56_4(X2,X3,X1,X4),esk59_4(X2,X3,X1,X4))
    | X4 = vabs(esk51_4(X2,X3,X1,X4),esk52_4(X2,X3,X1,X4),esk53_4(X2,X3,X1,X4))
    | X1 = vapp(esk45_4(X2,X3,X1,X4),esk48_4(X2,X3,X1,X4))
    | epred1_4(X4,X1,X3,X2)
    | ~ epred2_4(X4,X1,X3,X2) ),
    inference(split_conjunct,[status(thm)],[i_0_83]),
    [final] ).

cnf(i_0_233,plain,
    ( X1 = vabs(esk10_4(X2,X3,X4,X1),esk11_4(X2,X3,X4,X1),vsubst(esk12_4(X2,X3,X4,X1),esk13_4(X2,X3,X4,X1),esk14_4(X2,X3,X4,X1)))
    | epred2_4(X1,X4,X3,X2)
    | vsubst(X2,X3,X4) != X1 ),
    inference(split_conjunct,[status(thm)],[i_0_85]),
    [final] ).

cnf(i_0_234,plain,
    ( visFreeVar(esk57_4(X1,X2,X3,X4),esk55_4(X1,X2,X3,X4))
    | X3 = vabs(esk51_4(X1,X2,X3,X4),esk52_4(X1,X2,X3,X4),esk53_4(X1,X2,X3,X4))
    | X3 = vapp(esk45_4(X1,X2,X3,X4),esk48_4(X1,X2,X3,X4))
    | epred1_4(X4,X3,X2,X1)
    | ~ epred2_4(X4,X3,X2,X1) ),
    inference(split_conjunct,[status(thm)],[i_0_83]),
    [final] ).

cnf(i_0_235,plain,
    ( visFreeVar(esk57_4(X1,X2,X3,X4),esk55_4(X1,X2,X3,X4))
    | X4 = vabs(esk51_4(X1,X2,X3,X4),esk52_4(X1,X2,X3,X4),esk53_4(X1,X2,X3,X4))
    | X3 = vapp(esk45_4(X1,X2,X3,X4),esk48_4(X1,X2,X3,X4))
    | epred1_4(X4,X3,X2,X1)
    | ~ epred2_4(X4,X3,X2,X1) ),
    inference(split_conjunct,[status(thm)],[i_0_83]),
    [final] ).

cnf(i_0_236,plain,
    ( X1 = vabs(esk57_4(X2,X3,X1,X4),esk56_4(X2,X3,X1,X4),esk59_4(X2,X3,X1,X4))
    | X1 = vabs(esk51_4(X2,X3,X1,X4),esk52_4(X2,X3,X1,X4),esk53_4(X2,X3,X1,X4))
    | X2 = esk46_4(X2,X3,X1,X4)
    | epred1_4(X4,X1,X3,X2)
    | ~ epred2_4(X4,X1,X3,X2) ),
    inference(split_conjunct,[status(thm)],[i_0_83]),
    [final] ).

cnf(i_0_237,plain,
    ( X1 = vabs(esk57_4(X2,X3,X1,X4),esk56_4(X2,X3,X1,X4),esk59_4(X2,X3,X1,X4))
    | X4 = vabs(esk51_4(X2,X3,X1,X4),esk52_4(X2,X3,X1,X4),esk53_4(X2,X3,X1,X4))
    | X2 = esk46_4(X2,X3,X1,X4)
    | epred1_4(X4,X1,X3,X2)
    | ~ epred2_4(X4,X1,X3,X2) ),
    inference(split_conjunct,[status(thm)],[i_0_83]),
    [final] ).

cnf(i_0_238,plain,
    ( X1 = vabs(esk57_4(X2,X3,X1,X4),esk56_4(X2,X3,X1,X4),esk59_4(X2,X3,X1,X4))
    | X1 = vabs(esk51_4(X2,X3,X1,X4),esk52_4(X2,X3,X1,X4),esk53_4(X2,X3,X1,X4))
    | X3 = esk47_4(X2,X3,X1,X4)
    | epred1_4(X4,X1,X3,X2)
    | ~ epred2_4(X4,X1,X3,X2) ),
    inference(split_conjunct,[status(thm)],[i_0_83]),
    [final] ).

cnf(i_0_239,plain,
    ( X1 = vabs(esk57_4(X2,X3,X1,X4),esk56_4(X2,X3,X1,X4),esk59_4(X2,X3,X1,X4))
    | X4 = vabs(esk51_4(X2,X3,X1,X4),esk52_4(X2,X3,X1,X4),esk53_4(X2,X3,X1,X4))
    | X3 = esk47_4(X2,X3,X1,X4)
    | epred1_4(X4,X1,X3,X2)
    | ~ epred2_4(X4,X1,X3,X2) ),
    inference(split_conjunct,[status(thm)],[i_0_83]),
    [final] ).

cnf(i_0_240,plain,
    ( X3 = vabs(esk51_4(X1,X2,X3,X4),esk52_4(X1,X2,X3,X4),esk53_4(X1,X2,X3,X4))
    | X3 = vapp(esk45_4(X1,X2,X3,X4),esk48_4(X1,X2,X3,X4))
    | epred1_4(X4,X3,X2,X1)
    | esk54_4(X1,X2,X3,X4) != esk57_4(X1,X2,X3,X4)
    | ~ epred2_4(X4,X3,X2,X1) ),
    inference(split_conjunct,[status(thm)],[i_0_83]),
    [final] ).

cnf(i_0_241,plain,
    ( X4 = vabs(esk51_4(X1,X2,X3,X4),esk52_4(X1,X2,X3,X4),esk53_4(X1,X2,X3,X4))
    | X3 = vapp(esk45_4(X1,X2,X3,X4),esk48_4(X1,X2,X3,X4))
    | epred1_4(X4,X3,X2,X1)
    | esk54_4(X1,X2,X3,X4) != esk57_4(X1,X2,X3,X4)
    | ~ epred2_4(X4,X3,X2,X1) ),
    inference(split_conjunct,[status(thm)],[i_0_83]),
    [final] ).

cnf(i_0_242,plain,
    ( X1 = vabs(esk57_4(X2,X3,X1,X4),esk56_4(X2,X3,X1,X4),esk59_4(X2,X3,X1,X4))
    | esk50_4(X2,X3,X1,X4) = esk51_4(X2,X3,X1,X4)
    | X1 = vapp(esk45_4(X2,X3,X1,X4),esk48_4(X2,X3,X1,X4))
    | epred1_4(X4,X1,X3,X2)
    | ~ epred2_4(X4,X1,X3,X2) ),
    inference(split_conjunct,[status(thm)],[i_0_83]),
    [final] ).

cnf(i_0_243,plain,
    ( X1 = esk55_4(X2,X1,X3,X4)
    | X3 = vabs(esk51_4(X2,X1,X3,X4),esk52_4(X2,X1,X3,X4),esk53_4(X2,X1,X3,X4))
    | X3 = vapp(esk45_4(X2,X1,X3,X4),esk48_4(X2,X1,X3,X4))
    | epred1_4(X4,X3,X1,X2)
    | ~ epred2_4(X4,X3,X1,X2) ),
    inference(split_conjunct,[status(thm)],[i_0_83]),
    [final] ).

cnf(i_0_244,plain,
    ( X1 = esk55_4(X2,X1,X3,X4)
    | X4 = vabs(esk51_4(X2,X1,X3,X4),esk52_4(X2,X1,X3,X4),esk53_4(X2,X1,X3,X4))
    | X3 = vapp(esk45_4(X2,X1,X3,X4),esk48_4(X2,X1,X3,X4))
    | epred1_4(X4,X3,X1,X2)
    | ~ epred2_4(X4,X3,X1,X2) ),
    inference(split_conjunct,[status(thm)],[i_0_83]),
    [final] ).

cnf(i_0_245,plain,
    ( X1 = esk54_4(X1,X2,X3,X4)
    | X3 = vabs(esk51_4(X1,X2,X3,X4),esk52_4(X1,X2,X3,X4),esk53_4(X1,X2,X3,X4))
    | X3 = vapp(esk45_4(X1,X2,X3,X4),esk48_4(X1,X2,X3,X4))
    | epred1_4(X4,X3,X2,X1)
    | ~ epred2_4(X4,X3,X2,X1) ),
    inference(split_conjunct,[status(thm)],[i_0_83]),
    [final] ).

cnf(i_0_246,plain,
    ( X1 = esk54_4(X1,X2,X3,X4)
    | X4 = vabs(esk51_4(X1,X2,X3,X4),esk52_4(X1,X2,X3,X4),esk53_4(X1,X2,X3,X4))
    | X3 = vapp(esk45_4(X1,X2,X3,X4),esk48_4(X1,X2,X3,X4))
    | epred1_4(X4,X3,X2,X1)
    | ~ epred2_4(X4,X3,X2,X1) ),
    inference(split_conjunct,[status(thm)],[i_0_83]),
    [final] ).

cnf(i_0_247,plain,
    ( X1 = vabs(esk57_4(X2,X3,X1,X4),esk56_4(X2,X3,X1,X4),esk59_4(X2,X3,X1,X4))
    | X2 = esk50_4(X2,X3,X1,X4)
    | X1 = vapp(esk45_4(X2,X3,X1,X4),esk48_4(X2,X3,X1,X4))
    | epred1_4(X4,X1,X3,X2)
    | ~ epred2_4(X4,X1,X3,X2) ),
    inference(split_conjunct,[status(thm)],[i_0_83]),
    [final] ).

cnf(i_0_248,plain,
    ( X1 = vabs(esk57_4(X2,X3,X1,X4),esk56_4(X2,X3,X1,X4),esk59_4(X2,X3,X1,X4))
    | X3 = esk49_4(X2,X3,X1,X4)
    | X1 = vapp(esk45_4(X2,X3,X1,X4),esk48_4(X2,X3,X1,X4))
    | epred1_4(X4,X1,X3,X2)
    | ~ epred2_4(X4,X1,X3,X2) ),
    inference(split_conjunct,[status(thm)],[i_0_83]),
    [final] ).

cnf(i_0_249,plain,
    ( visFreeVar(esk57_4(X1,X2,X3,X4),esk55_4(X1,X2,X3,X4))
    | X3 = vabs(esk51_4(X1,X2,X3,X4),esk52_4(X1,X2,X3,X4),esk53_4(X1,X2,X3,X4))
    | X1 = esk46_4(X1,X2,X3,X4)
    | epred1_4(X4,X3,X2,X1)
    | ~ epred2_4(X4,X3,X2,X1) ),
    inference(split_conjunct,[status(thm)],[i_0_83]),
    [final] ).

cnf(i_0_250,plain,
    ( visFreeVar(esk57_4(X1,X2,X3,X4),esk55_4(X1,X2,X3,X4))
    | X4 = vabs(esk51_4(X1,X2,X3,X4),esk52_4(X1,X2,X3,X4),esk53_4(X1,X2,X3,X4))
    | X1 = esk46_4(X1,X2,X3,X4)
    | epred1_4(X4,X3,X2,X1)
    | ~ epred2_4(X4,X3,X2,X1) ),
    inference(split_conjunct,[status(thm)],[i_0_83]),
    [final] ).

cnf(i_0_251,plain,
    ( visFreeVar(esk57_4(X1,X2,X3,X4),esk55_4(X1,X2,X3,X4))
    | X3 = vabs(esk51_4(X1,X2,X3,X4),esk52_4(X1,X2,X3,X4),esk53_4(X1,X2,X3,X4))
    | X2 = esk47_4(X1,X2,X3,X4)
    | epred1_4(X4,X3,X2,X1)
    | ~ epred2_4(X4,X3,X2,X1) ),
    inference(split_conjunct,[status(thm)],[i_0_83]),
    [final] ).

cnf(i_0_252,plain,
    ( visFreeVar(esk57_4(X1,X2,X3,X4),esk55_4(X1,X2,X3,X4))
    | X4 = vabs(esk51_4(X1,X2,X3,X4),esk52_4(X1,X2,X3,X4),esk53_4(X1,X2,X3,X4))
    | X2 = esk47_4(X1,X2,X3,X4)
    | epred1_4(X4,X3,X2,X1)
    | ~ epred2_4(X4,X3,X2,X1) ),
    inference(split_conjunct,[status(thm)],[i_0_83]),
    [final] ).

cnf(i_0_253,plain,
    ( X3 = vabs(esk51_4(X1,X2,X3,X4),esk52_4(X1,X2,X3,X4),esk53_4(X1,X2,X3,X4))
    | X1 = esk46_4(X1,X2,X3,X4)
    | epred1_4(X4,X3,X2,X1)
    | esk54_4(X1,X2,X3,X4) != esk57_4(X1,X2,X3,X4)
    | ~ epred2_4(X4,X3,X2,X1) ),
    inference(split_conjunct,[status(thm)],[i_0_83]),
    [final] ).

cnf(i_0_254,plain,
    ( X4 = vabs(esk51_4(X1,X2,X3,X4),esk52_4(X1,X2,X3,X4),esk53_4(X1,X2,X3,X4))
    | X1 = esk46_4(X1,X2,X3,X4)
    | epred1_4(X4,X3,X2,X1)
    | esk54_4(X1,X2,X3,X4) != esk57_4(X1,X2,X3,X4)
    | ~ epred2_4(X4,X3,X2,X1) ),
    inference(split_conjunct,[status(thm)],[i_0_83]),
    [final] ).

cnf(i_0_255,plain,
    ( X3 = vabs(esk51_4(X1,X2,X3,X4),esk52_4(X1,X2,X3,X4),esk53_4(X1,X2,X3,X4))
    | X2 = esk47_4(X1,X2,X3,X4)
    | epred1_4(X4,X3,X2,X1)
    | esk54_4(X1,X2,X3,X4) != esk57_4(X1,X2,X3,X4)
    | ~ epred2_4(X4,X3,X2,X1) ),
    inference(split_conjunct,[status(thm)],[i_0_83]),
    [final] ).

cnf(i_0_256,plain,
    ( X4 = vabs(esk51_4(X1,X2,X3,X4),esk52_4(X1,X2,X3,X4),esk53_4(X1,X2,X3,X4))
    | X2 = esk47_4(X1,X2,X3,X4)
    | epred1_4(X4,X3,X2,X1)
    | esk54_4(X1,X2,X3,X4) != esk57_4(X1,X2,X3,X4)
    | ~ epred2_4(X4,X3,X2,X1) ),
    inference(split_conjunct,[status(thm)],[i_0_83]),
    [final] ).

cnf(i_0_257,plain,
    ( visFreeVar(esk57_4(X1,X2,X3,X4),esk55_4(X1,X2,X3,X4))
    | esk50_4(X1,X2,X3,X4) = esk51_4(X1,X2,X3,X4)
    | X3 = vapp(esk45_4(X1,X2,X3,X4),esk48_4(X1,X2,X3,X4))
    | epred1_4(X4,X3,X2,X1)
    | ~ epred2_4(X4,X3,X2,X1) ),
    inference(split_conjunct,[status(thm)],[i_0_83]),
    [final] ).

cnf(i_0_258,plain,
    ( X1 = vabs(esk57_4(X2,X3,X1,X4),esk56_4(X2,X3,X1,X4),esk59_4(X2,X3,X1,X4))
    | esk50_4(X2,X3,X1,X4) = esk51_4(X2,X3,X1,X4)
    | X2 = esk46_4(X2,X3,X1,X4)
    | epred1_4(X4,X1,X3,X2)
    | ~ epred2_4(X4,X1,X3,X2) ),
    inference(split_conjunct,[status(thm)],[i_0_83]),
    [final] ).

cnf(i_0_259,plain,
    ( X1 = vabs(esk57_4(X2,X3,X1,X4),esk56_4(X2,X3,X1,X4),esk59_4(X2,X3,X1,X4))
    | esk50_4(X2,X3,X1,X4) = esk51_4(X2,X3,X1,X4)
    | X3 = esk47_4(X2,X3,X1,X4)
    | epred1_4(X4,X1,X3,X2)
    | ~ epred2_4(X4,X1,X3,X2) ),
    inference(split_conjunct,[status(thm)],[i_0_83]),
    [final] ).

cnf(i_0_260,plain,
    ( esk50_4(X1,X2,X3,X4) = esk51_4(X1,X2,X3,X4)
    | X3 = vapp(esk45_4(X1,X2,X3,X4),esk48_4(X1,X2,X3,X4))
    | epred1_4(X4,X3,X2,X1)
    | esk54_4(X1,X2,X3,X4) != esk57_4(X1,X2,X3,X4)
    | ~ epred2_4(X4,X3,X2,X1) ),
    inference(split_conjunct,[status(thm)],[i_0_83]),
    [final] ).

cnf(i_0_261,plain,
    ( visFreeVar(esk57_4(X1,X2,X3,X4),esk55_4(X1,X2,X3,X4))
    | X1 = esk50_4(X1,X2,X3,X4)
    | X3 = vapp(esk45_4(X1,X2,X3,X4),esk48_4(X1,X2,X3,X4))
    | epred1_4(X4,X3,X2,X1)
    | ~ epred2_4(X4,X3,X2,X1) ),
    inference(split_conjunct,[status(thm)],[i_0_83]),
    [final] ).

cnf(i_0_262,plain,
    ( visFreeVar(esk57_4(X1,X2,X3,X4),esk55_4(X1,X2,X3,X4))
    | X2 = esk49_4(X1,X2,X3,X4)
    | X3 = vapp(esk45_4(X1,X2,X3,X4),esk48_4(X1,X2,X3,X4))
    | epred1_4(X4,X3,X2,X1)
    | ~ epred2_4(X4,X3,X2,X1) ),
    inference(split_conjunct,[status(thm)],[i_0_83]),
    [final] ).

cnf(i_0_263,plain,
    ( X1 = esk55_4(X2,X1,X3,X4)
    | X3 = vabs(esk51_4(X2,X1,X3,X4),esk52_4(X2,X1,X3,X4),esk53_4(X2,X1,X3,X4))
    | X1 = esk47_4(X2,X1,X3,X4)
    | epred1_4(X4,X3,X1,X2)
    | ~ epred2_4(X4,X3,X1,X2) ),
    inference(split_conjunct,[status(thm)],[i_0_83]),
    [final] ).

cnf(i_0_264,plain,
    ( X1 = esk55_4(X2,X1,X3,X4)
    | X4 = vabs(esk51_4(X2,X1,X3,X4),esk52_4(X2,X1,X3,X4),esk53_4(X2,X1,X3,X4))
    | X1 = esk47_4(X2,X1,X3,X4)
    | epred1_4(X4,X3,X1,X2)
    | ~ epred2_4(X4,X3,X1,X2) ),
    inference(split_conjunct,[status(thm)],[i_0_83]),
    [final] ).

cnf(i_0_265,plain,
    ( X1 = esk54_4(X1,X2,X3,X4)
    | X3 = vabs(esk51_4(X1,X2,X3,X4),esk52_4(X1,X2,X3,X4),esk53_4(X1,X2,X3,X4))
    | X1 = esk46_4(X1,X2,X3,X4)
    | epred1_4(X4,X3,X2,X1)
    | ~ epred2_4(X4,X3,X2,X1) ),
    inference(split_conjunct,[status(thm)],[i_0_83]),
    [final] ).

cnf(i_0_266,plain,
    ( X1 = esk54_4(X1,X2,X3,X4)
    | X4 = vabs(esk51_4(X1,X2,X3,X4),esk52_4(X1,X2,X3,X4),esk53_4(X1,X2,X3,X4))
    | X1 = esk46_4(X1,X2,X3,X4)
    | epred1_4(X4,X3,X2,X1)
    | ~ epred2_4(X4,X3,X2,X1) ),
    inference(split_conjunct,[status(thm)],[i_0_83]),
    [final] ).

cnf(i_0_267,plain,
    ( X1 = esk54_4(X1,X2,X3,X4)
    | X3 = vabs(esk51_4(X1,X2,X3,X4),esk52_4(X1,X2,X3,X4),esk53_4(X1,X2,X3,X4))
    | X2 = esk47_4(X1,X2,X3,X4)
    | epred1_4(X4,X3,X2,X1)
    | ~ epred2_4(X4,X3,X2,X1) ),
    inference(split_conjunct,[status(thm)],[i_0_83]),
    [final] ).

cnf(i_0_268,plain,
    ( X1 = esk54_4(X1,X2,X3,X4)
    | X4 = vabs(esk51_4(X1,X2,X3,X4),esk52_4(X1,X2,X3,X4),esk53_4(X1,X2,X3,X4))
    | X2 = esk47_4(X1,X2,X3,X4)
    | epred1_4(X4,X3,X2,X1)
    | ~ epred2_4(X4,X3,X2,X1) ),
    inference(split_conjunct,[status(thm)],[i_0_83]),
    [final] ).

cnf(i_0_269,plain,
    ( X1 = esk55_4(X2,X1,X3,X4)
    | X3 = vabs(esk51_4(X2,X1,X3,X4),esk52_4(X2,X1,X3,X4),esk53_4(X2,X1,X3,X4))
    | X2 = esk46_4(X2,X1,X3,X4)
    | epred1_4(X4,X3,X1,X2)
    | ~ epred2_4(X4,X3,X1,X2) ),
    inference(split_conjunct,[status(thm)],[i_0_83]),
    [final] ).

cnf(i_0_270,plain,
    ( X1 = esk55_4(X2,X1,X3,X4)
    | X4 = vabs(esk51_4(X2,X1,X3,X4),esk52_4(X2,X1,X3,X4),esk53_4(X2,X1,X3,X4))
    | X2 = esk46_4(X2,X1,X3,X4)
    | epred1_4(X4,X3,X1,X2)
    | ~ epred2_4(X4,X3,X1,X2) ),
    inference(split_conjunct,[status(thm)],[i_0_83]),
    [final] ).

cnf(i_0_271,plain,
    ( X1 = vabs(esk57_4(X2,X3,X1,X4),esk56_4(X2,X3,X1,X4),esk59_4(X2,X3,X1,X4))
    | X2 = esk50_4(X2,X3,X1,X4)
    | X2 = esk46_4(X2,X3,X1,X4)
    | epred1_4(X4,X1,X3,X2)
    | ~ epred2_4(X4,X1,X3,X2) ),
    inference(split_conjunct,[status(thm)],[i_0_83]),
    [final] ).

cnf(i_0_272,plain,
    ( X1 = vabs(esk57_4(X2,X3,X1,X4),esk56_4(X2,X3,X1,X4),esk59_4(X2,X3,X1,X4))
    | X3 = esk49_4(X2,X3,X1,X4)
    | X2 = esk46_4(X2,X3,X1,X4)
    | epred1_4(X4,X1,X3,X2)
    | ~ epred2_4(X4,X1,X3,X2) ),
    inference(split_conjunct,[status(thm)],[i_0_83]),
    [final] ).

cnf(i_0_273,plain,
    ( X1 = vabs(esk57_4(X2,X3,X1,X4),esk56_4(X2,X3,X1,X4),esk59_4(X2,X3,X1,X4))
    | X2 = esk50_4(X2,X3,X1,X4)
    | X3 = esk47_4(X2,X3,X1,X4)
    | epred1_4(X4,X1,X3,X2)
    | ~ epred2_4(X4,X1,X3,X2) ),
    inference(split_conjunct,[status(thm)],[i_0_83]),
    [final] ).

cnf(i_0_274,plain,
    ( X1 = vabs(esk57_4(X2,X3,X1,X4),esk56_4(X2,X3,X1,X4),esk59_4(X2,X3,X1,X4))
    | X3 = esk49_4(X2,X3,X1,X4)
    | X3 = esk47_4(X2,X3,X1,X4)
    | epred1_4(X4,X1,X3,X2)
    | ~ epred2_4(X4,X1,X3,X2) ),
    inference(split_conjunct,[status(thm)],[i_0_83]),
    [final] ).

cnf(i_0_275,plain,
    ( X1 = esk50_4(X1,X2,X3,X4)
    | X3 = vapp(esk45_4(X1,X2,X3,X4),esk48_4(X1,X2,X3,X4))
    | epred1_4(X4,X3,X2,X1)
    | esk54_4(X1,X2,X3,X4) != esk57_4(X1,X2,X3,X4)
    | ~ epred2_4(X4,X3,X2,X1) ),
    inference(split_conjunct,[status(thm)],[i_0_83]),
    [final] ).

cnf(i_0_276,plain,
    ( X2 = esk49_4(X1,X2,X3,X4)
    | X3 = vapp(esk45_4(X1,X2,X3,X4),esk48_4(X1,X2,X3,X4))
    | epred1_4(X4,X3,X2,X1)
    | esk54_4(X1,X2,X3,X4) != esk57_4(X1,X2,X3,X4)
    | ~ epred2_4(X4,X3,X2,X1) ),
    inference(split_conjunct,[status(thm)],[i_0_83]),
    [final] ).

cnf(i_0_277,plain,
    ( X1 = esk55_4(X2,X1,X3,X4)
    | esk50_4(X2,X1,X3,X4) = esk51_4(X2,X1,X3,X4)
    | X3 = vapp(esk45_4(X2,X1,X3,X4),esk48_4(X2,X1,X3,X4))
    | epred1_4(X4,X3,X1,X2)
    | ~ epred2_4(X4,X3,X1,X2) ),
    inference(split_conjunct,[status(thm)],[i_0_83]),
    [final] ).

cnf(i_0_278,plain,
    ( X1 = esk54_4(X1,X2,X3,X4)
    | esk50_4(X1,X2,X3,X4) = esk51_4(X1,X2,X3,X4)
    | X3 = vapp(esk45_4(X1,X2,X3,X4),esk48_4(X1,X2,X3,X4))
    | epred1_4(X4,X3,X2,X1)
    | ~ epred2_4(X4,X3,X2,X1) ),
    inference(split_conjunct,[status(thm)],[i_0_83]),
    [final] ).

cnf(i_0_279,plain,
    ( visFreeVar(esk57_4(X1,X2,X3,X4),esk55_4(X1,X2,X3,X4))
    | esk50_4(X1,X2,X3,X4) = esk51_4(X1,X2,X3,X4)
    | X1 = esk46_4(X1,X2,X3,X4)
    | epred1_4(X4,X3,X2,X1)
    | ~ epred2_4(X4,X3,X2,X1) ),
    inference(split_conjunct,[status(thm)],[i_0_83]),
    [final] ).

cnf(i_0_280,plain,
    ( visFreeVar(esk57_4(X1,X2,X3,X4),esk55_4(X1,X2,X3,X4))
    | esk50_4(X1,X2,X3,X4) = esk51_4(X1,X2,X3,X4)
    | X2 = esk47_4(X1,X2,X3,X4)
    | epred1_4(X4,X3,X2,X1)
    | ~ epred2_4(X4,X3,X2,X1) ),
    inference(split_conjunct,[status(thm)],[i_0_83]),
    [final] ).

cnf(i_0_281,plain,
    ( esk50_4(X1,X2,X3,X4) = esk51_4(X1,X2,X3,X4)
    | X1 = esk46_4(X1,X2,X3,X4)
    | epred1_4(X4,X3,X2,X1)
    | esk54_4(X1,X2,X3,X4) != esk57_4(X1,X2,X3,X4)
    | ~ epred2_4(X4,X3,X2,X1) ),
    inference(split_conjunct,[status(thm)],[i_0_83]),
    [final] ).

cnf(i_0_282,plain,
    ( esk50_4(X1,X2,X3,X4) = esk51_4(X1,X2,X3,X4)
    | X2 = esk47_4(X1,X2,X3,X4)
    | epred1_4(X4,X3,X2,X1)
    | esk54_4(X1,X2,X3,X4) != esk57_4(X1,X2,X3,X4)
    | ~ epred2_4(X4,X3,X2,X1) ),
    inference(split_conjunct,[status(thm)],[i_0_83]),
    [final] ).

cnf(i_0_283,plain,
    ( X1 = esk54_4(X1,X2,X3,X4)
    | X1 = esk50_4(X1,X2,X3,X4)
    | X3 = vapp(esk45_4(X1,X2,X3,X4),esk48_4(X1,X2,X3,X4))
    | epred1_4(X4,X3,X2,X1)
    | ~ epred2_4(X4,X3,X2,X1) ),
    inference(split_conjunct,[status(thm)],[i_0_83]),
    [final] ).

cnf(i_0_284,plain,
    ( X1 = esk55_4(X2,X1,X3,X4)
    | X1 = esk49_4(X2,X1,X3,X4)
    | X3 = vapp(esk45_4(X2,X1,X3,X4),esk48_4(X2,X1,X3,X4))
    | epred1_4(X4,X3,X1,X2)
    | ~ epred2_4(X4,X3,X1,X2) ),
    inference(split_conjunct,[status(thm)],[i_0_83]),
    [final] ).

cnf(i_0_285,plain,
    ( X1 = esk55_4(X2,X1,X3,X4)
    | X2 = esk50_4(X2,X1,X3,X4)
    | X3 = vapp(esk45_4(X2,X1,X3,X4),esk48_4(X2,X1,X3,X4))
    | epred1_4(X4,X3,X1,X2)
    | ~ epred2_4(X4,X3,X1,X2) ),
    inference(split_conjunct,[status(thm)],[i_0_83]),
    [final] ).

cnf(i_0_286,plain,
    ( X1 = esk54_4(X1,X2,X3,X4)
    | X2 = esk49_4(X1,X2,X3,X4)
    | X3 = vapp(esk45_4(X1,X2,X3,X4),esk48_4(X1,X2,X3,X4))
    | epred1_4(X4,X3,X2,X1)
    | ~ epred2_4(X4,X3,X2,X1) ),
    inference(split_conjunct,[status(thm)],[i_0_83]),
    [final] ).

cnf(i_0_287,plain,
    ( visFreeVar(esk57_4(X1,X2,X3,X4),esk55_4(X1,X2,X3,X4))
    | X1 = esk50_4(X1,X2,X3,X4)
    | X1 = esk46_4(X1,X2,X3,X4)
    | epred1_4(X4,X3,X2,X1)
    | ~ epred2_4(X4,X3,X2,X1) ),
    inference(split_conjunct,[status(thm)],[i_0_83]),
    [final] ).

cnf(i_0_288,plain,
    ( visFreeVar(esk57_4(X1,X2,X3,X4),esk55_4(X1,X2,X3,X4))
    | X2 = esk49_4(X1,X2,X3,X4)
    | X1 = esk46_4(X1,X2,X3,X4)
    | epred1_4(X4,X3,X2,X1)
    | ~ epred2_4(X4,X3,X2,X1) ),
    inference(split_conjunct,[status(thm)],[i_0_83]),
    [final] ).

cnf(i_0_289,plain,
    ( visFreeVar(esk57_4(X1,X2,X3,X4),esk55_4(X1,X2,X3,X4))
    | X1 = esk50_4(X1,X2,X3,X4)
    | X2 = esk47_4(X1,X2,X3,X4)
    | epred1_4(X4,X3,X2,X1)
    | ~ epred2_4(X4,X3,X2,X1) ),
    inference(split_conjunct,[status(thm)],[i_0_83]),
    [final] ).

cnf(i_0_290,plain,
    ( visFreeVar(esk57_4(X1,X2,X3,X4),esk55_4(X1,X2,X3,X4))
    | X2 = esk49_4(X1,X2,X3,X4)
    | X2 = esk47_4(X1,X2,X3,X4)
    | epred1_4(X4,X3,X2,X1)
    | ~ epred2_4(X4,X3,X2,X1) ),
    inference(split_conjunct,[status(thm)],[i_0_83]),
    [final] ).

cnf(i_0_291,plain,
    ( X1 = esk50_4(X1,X2,X3,X4)
    | X1 = esk46_4(X1,X2,X3,X4)
    | epred1_4(X4,X3,X2,X1)
    | esk54_4(X1,X2,X3,X4) != esk57_4(X1,X2,X3,X4)
    | ~ epred2_4(X4,X3,X2,X1) ),
    inference(split_conjunct,[status(thm)],[i_0_83]),
    [final] ).

cnf(i_0_292,plain,
    ( X2 = esk49_4(X1,X2,X3,X4)
    | X1 = esk46_4(X1,X2,X3,X4)
    | epred1_4(X4,X3,X2,X1)
    | esk54_4(X1,X2,X3,X4) != esk57_4(X1,X2,X3,X4)
    | ~ epred2_4(X4,X3,X2,X1) ),
    inference(split_conjunct,[status(thm)],[i_0_83]),
    [final] ).

cnf(i_0_293,plain,
    ( X1 = esk50_4(X1,X2,X3,X4)
    | X2 = esk47_4(X1,X2,X3,X4)
    | epred1_4(X4,X3,X2,X1)
    | esk54_4(X1,X2,X3,X4) != esk57_4(X1,X2,X3,X4)
    | ~ epred2_4(X4,X3,X2,X1) ),
    inference(split_conjunct,[status(thm)],[i_0_83]),
    [final] ).

cnf(i_0_294,plain,
    ( X2 = esk49_4(X1,X2,X3,X4)
    | X2 = esk47_4(X1,X2,X3,X4)
    | epred1_4(X4,X3,X2,X1)
    | esk54_4(X1,X2,X3,X4) != esk57_4(X1,X2,X3,X4)
    | ~ epred2_4(X4,X3,X2,X1) ),
    inference(split_conjunct,[status(thm)],[i_0_83]),
    [final] ).

cnf(i_0_295,plain,
    ( epred2_4(X4,X3,X2,X1)
    | ~ visFreeVar(esk10_4(X1,X2,X3,X4),esk13_4(X1,X2,X3,X4))
    | vsubst(X1,X2,X3) != X4 ),
    inference(split_conjunct,[status(thm)],[i_0_85]),
    [final] ).

cnf(i_0_296,plain,
    ( X1 = vabs(esk10_4(X2,X3,X1,X4),esk11_4(X2,X3,X1,X4),esk14_4(X2,X3,X1,X4))
    | epred2_4(X4,X1,X3,X2)
    | vsubst(X2,X3,X1) != X4 ),
    inference(split_conjunct,[status(thm)],[i_0_85]),
    [final] ).

cnf(i_0_297,plain,
    ( X3 = vvar(esk40_4(X1,X2,X3,X4))
    | esk43_4(X1,X2,X3,X4) != esk44_4(X1,X2,X3,X4)
    | ~ epred1_4(X4,X3,X2,X1) ),
    inference(split_conjunct,[status(thm)],[i_0_86]),
    [final] ).

cnf(i_0_298,plain,
    ( esk39_4(X1,X2,X3,X4) = esk40_4(X1,X2,X3,X4)
    | esk43_4(X1,X2,X3,X4) != esk44_4(X1,X2,X3,X4)
    | ~ epred1_4(X4,X3,X2,X1) ),
    inference(split_conjunct,[status(thm)],[i_0_86]),
    [final] ).

cnf(i_0_299,plain,
    ( X1 = esk55_4(X2,X1,X3,X4)
    | esk50_4(X2,X1,X3,X4) = esk51_4(X2,X1,X3,X4)
    | X1 = esk47_4(X2,X1,X3,X4)
    | epred1_4(X4,X3,X1,X2)
    | ~ epred2_4(X4,X3,X1,X2) ),
    inference(split_conjunct,[status(thm)],[i_0_83]),
    [final] ).

cnf(i_0_300,plain,
    ( X1 = esk54_4(X1,X2,X3,X4)
    | esk50_4(X1,X2,X3,X4) = esk51_4(X1,X2,X3,X4)
    | X1 = esk46_4(X1,X2,X3,X4)
    | epred1_4(X4,X3,X2,X1)
    | ~ epred2_4(X4,X3,X2,X1) ),
    inference(split_conjunct,[status(thm)],[i_0_83]),
    [final] ).

cnf(i_0_301,plain,
    ( X1 = esk54_4(X1,X2,X3,X4)
    | esk50_4(X1,X2,X3,X4) = esk51_4(X1,X2,X3,X4)
    | X2 = esk47_4(X1,X2,X3,X4)
    | epred1_4(X4,X3,X2,X1)
    | ~ epred2_4(X4,X3,X2,X1) ),
    inference(split_conjunct,[status(thm)],[i_0_83]),
    [final] ).

cnf(i_0_302,plain,
    ( X1 = esk55_4(X2,X1,X3,X4)
    | esk50_4(X2,X1,X3,X4) = esk51_4(X2,X1,X3,X4)
    | X2 = esk46_4(X2,X1,X3,X4)
    | epred1_4(X4,X3,X1,X2)
    | ~ epred2_4(X4,X3,X1,X2) ),
    inference(split_conjunct,[status(thm)],[i_0_83]),
    [final] ).

cnf(i_0_303,plain,
    ( X2 = vabs(esk18_4(X3,X2,X4,X1),esk19_4(X3,X2,X4,X1),esk20_4(X3,X2,X4,X1))
    | visSomeExp(X4)
    | X5 = vnoExp
    | X1 != vapp(X2,X3)
    | X4 != vreduce(X2)
    | X5 != vreduce(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_87]),
    [final] ).

cnf(i_0_304,plain,
    ( X1 = esk39_4(X1,X2,X3,X4)
    | esk43_4(X1,X2,X3,X4) != esk44_4(X1,X2,X3,X4)
    | ~ epred1_4(X4,X3,X2,X1) ),
    inference(split_conjunct,[status(thm)],[i_0_86]),
    [final] ).

cnf(i_0_305,plain,
    ( X2 = esk41_4(X1,X2,X3,X4)
    | esk43_4(X1,X2,X3,X4) != esk44_4(X1,X2,X3,X4)
    | ~ epred1_4(X4,X3,X2,X1) ),
    inference(split_conjunct,[status(thm)],[i_0_86]),
    [final] ).

cnf(i_0_306,plain,
    ( X4 = esk41_4(X1,X2,X3,X4)
    | esk43_4(X1,X2,X3,X4) != esk44_4(X1,X2,X3,X4)
    | ~ epred1_4(X4,X3,X2,X1) ),
    inference(split_conjunct,[status(thm)],[i_0_86]),
    [final] ).

cnf(i_0_307,plain,
    ( vtcheck(X1,esk29_3(X2,X3,X1),varrow(esk31_3(X2,X3,X1),X3))
    | vtcheck(vbind(esk25_3(X2,X3,X1),esk27_3(X2,X3,X1),X1),esk26_3(X2,X3,X1),esk28_3(X2,X3,X1))
    | vlookup(esk24_3(X2,X3,X1),X1) = vsomeType(X3)
    | ~ vtcheck(X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[i_0_88]),
    [final] ).

cnf(i_0_308,plain,
    ( vtcheck(X1,esk29_3(X2,X3,X1),varrow(esk31_3(X2,X3,X1),X3))
    | vtcheck(vbind(esk25_3(X2,X3,X1),esk27_3(X2,X3,X1),X1),esk26_3(X2,X3,X1),esk28_3(X2,X3,X1))
    | X2 = vvar(esk24_3(X2,X3,X1))
    | ~ vtcheck(X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[i_0_88]),
    [final] ).

cnf(i_0_309,plain,
    ( X1 = vvar(esk44_4(X2,X3,X1,X4))
    | X1 = vvar(esk40_4(X2,X3,X1,X4))
    | ~ epred1_4(X4,X1,X3,X2) ),
    inference(split_conjunct,[status(thm)],[i_0_86]),
    [final] ).

cnf(i_0_310,plain,
    ( X1 = vvar(esk44_4(X2,X3,X4,X1))
    | X4 = vvar(esk40_4(X2,X3,X4,X1))
    | ~ epred1_4(X1,X4,X3,X2) ),
    inference(split_conjunct,[status(thm)],[i_0_86]),
    [final] ).

cnf(i_0_311,plain,
    ( X1 = esk55_4(X2,X1,X3,X4)
    | X1 = esk49_4(X2,X1,X3,X4)
    | X1 = esk47_4(X2,X1,X3,X4)
    | epred1_4(X4,X3,X1,X2)
    | ~ epred2_4(X4,X3,X1,X2) ),
    inference(split_conjunct,[status(thm)],[i_0_83]),
    [final] ).

cnf(i_0_312,plain,
    ( X1 = esk54_4(X1,X2,X3,X4)
    | X1 = esk50_4(X1,X2,X3,X4)
    | X1 = esk46_4(X1,X2,X3,X4)
    | epred1_4(X4,X3,X2,X1)
    | ~ epred2_4(X4,X3,X2,X1) ),
    inference(split_conjunct,[status(thm)],[i_0_83]),
    [final] ).

cnf(i_0_313,plain,
    ( X1 = esk55_4(X2,X1,X3,X4)
    | X2 = esk50_4(X2,X1,X3,X4)
    | X1 = esk47_4(X2,X1,X3,X4)
    | epred1_4(X4,X3,X1,X2)
    | ~ epred2_4(X4,X3,X1,X2) ),
    inference(split_conjunct,[status(thm)],[i_0_83]),
    [final] ).

cnf(i_0_314,plain,
    ( X1 = esk54_4(X1,X2,X3,X4)
    | X2 = esk49_4(X1,X2,X3,X4)
    | X1 = esk46_4(X1,X2,X3,X4)
    | epred1_4(X4,X3,X2,X1)
    | ~ epred2_4(X4,X3,X2,X1) ),
    inference(split_conjunct,[status(thm)],[i_0_83]),
    [final] ).

cnf(i_0_315,plain,
    ( X1 = esk54_4(X1,X2,X3,X4)
    | X1 = esk50_4(X1,X2,X3,X4)
    | X2 = esk47_4(X1,X2,X3,X4)
    | epred1_4(X4,X3,X2,X1)
    | ~ epred2_4(X4,X3,X2,X1) ),
    inference(split_conjunct,[status(thm)],[i_0_83]),
    [final] ).

cnf(i_0_316,plain,
    ( X1 = esk54_4(X1,X2,X3,X4)
    | X2 = esk49_4(X1,X2,X3,X4)
    | X2 = esk47_4(X1,X2,X3,X4)
    | epred1_4(X4,X3,X2,X1)
    | ~ epred2_4(X4,X3,X2,X1) ),
    inference(split_conjunct,[status(thm)],[i_0_83]),
    [final] ).

cnf(i_0_317,plain,
    ( X1 = esk55_4(X2,X1,X3,X4)
    | X1 = esk49_4(X2,X1,X3,X4)
    | X2 = esk46_4(X2,X1,X3,X4)
    | epred1_4(X4,X3,X1,X2)
    | ~ epred2_4(X4,X3,X1,X2) ),
    inference(split_conjunct,[status(thm)],[i_0_83]),
    [final] ).

cnf(i_0_318,plain,
    ( X1 = esk55_4(X2,X1,X3,X4)
    | X2 = esk50_4(X2,X1,X3,X4)
    | X2 = esk46_4(X2,X1,X3,X4)
    | epred1_4(X4,X3,X1,X2)
    | ~ epred2_4(X4,X3,X1,X2) ),
    inference(split_conjunct,[status(thm)],[i_0_83]),
    [final] ).

cnf(i_0_319,plain,
    ( X1 = vvar(esk44_4(X2,X3,X1,X4))
    | esk39_4(X2,X3,X1,X4) = esk40_4(X2,X3,X1,X4)
    | ~ epred1_4(X4,X1,X3,X2) ),
    inference(split_conjunct,[status(thm)],[i_0_86]),
    [final] ).

cnf(i_0_320,plain,
    ( X1 = vvar(esk44_4(X2,X3,X4,X1))
    | esk39_4(X2,X3,X4,X1) = esk40_4(X2,X3,X4,X1)
    | ~ epred1_4(X1,X4,X3,X2) ),
    inference(split_conjunct,[status(thm)],[i_0_86]),
    [final] ).

cnf(i_0_321,plain,
    ( vtcheck(X1,esk30_3(X2,X3,X1),esk31_3(X2,X3,X1))
    | vtcheck(vbind(esk25_3(X2,X3,X1),esk27_3(X2,X3,X1),X1),esk26_3(X2,X3,X1),esk28_3(X2,X3,X1))
    | vlookup(esk24_3(X2,X3,X1),X1) = vsomeType(X3)
    | ~ vtcheck(X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[i_0_88]),
    [final] ).

cnf(i_0_322,plain,
    ( vtcheck(X1,esk30_3(X2,X3,X1),esk31_3(X2,X3,X1))
    | vtcheck(vbind(esk25_3(X2,X3,X1),esk27_3(X2,X3,X1),X1),esk26_3(X2,X3,X1),esk28_3(X2,X3,X1))
    | X2 = vvar(esk24_3(X2,X3,X1))
    | ~ vtcheck(X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[i_0_88]),
    [final] ).

cnf(i_0_323,plain,
    ( X1 = vapp(esk29_3(X1,X2,X3),esk30_3(X1,X2,X3))
    | vtcheck(vbind(esk25_3(X1,X2,X3),esk27_3(X1,X2,X3),X3),esk26_3(X1,X2,X3),esk28_3(X1,X2,X3))
    | vlookup(esk24_3(X1,X2,X3),X3) = vsomeType(X2)
    | ~ vtcheck(X3,X1,X2) ),
    inference(split_conjunct,[status(thm)],[i_0_88]),
    [final] ).

cnf(i_0_324,plain,
    ( X1 = vapp(esk29_3(X1,X2,X3),esk30_3(X1,X2,X3))
    | vtcheck(vbind(esk25_3(X1,X2,X3),esk27_3(X1,X2,X3),X3),esk26_3(X1,X2,X3),esk28_3(X1,X2,X3))
    | X1 = vvar(esk24_3(X1,X2,X3))
    | ~ vtcheck(X3,X1,X2) ),
    inference(split_conjunct,[status(thm)],[i_0_88]),
    [final] ).

cnf(i_0_325,plain,
    ( X1 = vapp(vabs(esk71_2(X1,X2),esk69_2(X1,X2),esk73_2(X1,X2)),esk72_2(X1,X2))
    | X2 = vsomeExp(vapp(vabs(esk65_2(X1,X2),esk66_2(X1,X2),esk67_2(X1,X2)),vgetSomeExp(esk68_2(X1,X2))))
    | X1 = vabs(esk61_2(X1,X2),esk62_2(X1,X2),esk63_2(X1,X2))
    | X1 = vvar(esk60_2(X1,X2))
    | ~ epred3_2(X2,X1) ),
    inference(split_conjunct,[status(thm)],[i_0_68]),
    [final] ).

cnf(i_0_326,plain,
    ( X1 = esk43_4(X1,X2,X3,X4)
    | X3 = vvar(esk40_4(X1,X2,X3,X4))
    | ~ epred1_4(X4,X3,X2,X1) ),
    inference(split_conjunct,[status(thm)],[i_0_86]),
    [final] ).

cnf(i_0_327,plain,
    ( X1 = esk42_4(X2,X1,X3,X4)
    | X3 = vvar(esk40_4(X2,X1,X3,X4))
    | ~ epred1_4(X4,X3,X1,X2) ),
    inference(split_conjunct,[status(thm)],[i_0_86]),
    [final] ).

cnf(i_0_328,plain,
    ( X1 = vvar(esk44_4(X2,X3,X4,X1))
    | X1 = esk41_4(X2,X3,X4,X1)
    | ~ epred1_4(X1,X4,X3,X2) ),
    inference(split_conjunct,[status(thm)],[i_0_86]),
    [final] ).

cnf(i_0_329,plain,
    ( X1 = vvar(esk44_4(X2,X3,X1,X4))
    | X2 = esk39_4(X2,X3,X1,X4)
    | ~ epred1_4(X4,X1,X3,X2) ),
    inference(split_conjunct,[status(thm)],[i_0_86]),
    [final] ).

cnf(i_0_330,plain,
    ( X1 = vvar(esk44_4(X2,X3,X4,X1))
    | X2 = esk39_4(X2,X3,X4,X1)
    | ~ epred1_4(X1,X4,X3,X2) ),
    inference(split_conjunct,[status(thm)],[i_0_86]),
    [final] ).

cnf(i_0_331,plain,
    ( X1 = vvar(esk44_4(X2,X3,X1,X4))
    | X3 = esk41_4(X2,X3,X1,X4)
    | ~ epred1_4(X4,X1,X3,X2) ),
    inference(split_conjunct,[status(thm)],[i_0_86]),
    [final] ).

cnf(i_0_332,plain,
    ( X1 = vvar(esk44_4(X2,X3,X4,X1))
    | X3 = esk41_4(X2,X3,X4,X1)
    | ~ epred1_4(X1,X4,X3,X2) ),
    inference(split_conjunct,[status(thm)],[i_0_86]),
    [final] ).

cnf(i_0_333,plain,
    ( X1 = vvar(esk44_4(X2,X3,X1,X4))
    | X4 = esk41_4(X2,X3,X1,X4)
    | ~ epred1_4(X4,X1,X3,X2) ),
    inference(split_conjunct,[status(thm)],[i_0_86]),
    [final] ).

cnf(i_0_334,plain,
    ( X1 = vapp(vabs(esk71_2(X1,X2),esk69_2(X1,X2),esk73_2(X1,X2)),esk72_2(X1,X2))
    | X2 = vsomeExp(vapp(vabs(esk65_2(X1,X2),esk66_2(X1,X2),esk67_2(X1,X2)),vgetSomeExp(esk68_2(X1,X2))))
    | X1 = vabs(esk61_2(X1,X2),esk62_2(X1,X2),esk63_2(X1,X2))
    | X2 = vnoExp
    | ~ epred3_2(X2,X1) ),
    inference(split_conjunct,[status(thm)],[i_0_68]),
    [final] ).

cnf(i_0_335,plain,
    ( X1 = esk43_4(X1,X2,X3,X4)
    | esk39_4(X1,X2,X3,X4) = esk40_4(X1,X2,X3,X4)
    | ~ epred1_4(X4,X3,X2,X1) ),
    inference(split_conjunct,[status(thm)],[i_0_86]),
    [final] ).

cnf(i_0_336,plain,
    ( X1 = esk42_4(X2,X1,X3,X4)
    | esk39_4(X2,X1,X3,X4) = esk40_4(X2,X1,X3,X4)
    | ~ epred1_4(X4,X3,X1,X2) ),
    inference(split_conjunct,[status(thm)],[i_0_86]),
    [final] ).

cnf(i_0_337,plain,
    ( X1 = vsomeExp(vsubst(esk71_2(X2,X1),esk72_2(X2,X1),esk73_2(X2,X1)))
    | X1 = vsomeExp(vapp(vabs(esk65_2(X2,X1),esk66_2(X2,X1),esk67_2(X2,X1)),vgetSomeExp(esk68_2(X2,X1))))
    | X2 = vabs(esk61_2(X2,X1),esk62_2(X2,X1),esk63_2(X2,X1))
    | X2 = vvar(esk60_2(X2,X1))
    | ~ epred3_2(X1,X2) ),
    inference(split_conjunct,[status(thm)],[i_0_68]),
    [final] ).

cnf(i_0_338,plain,
    ( epred2_4(X4,X3,X2,X1)
    | esk12_4(X1,X2,X3,X4) != esk10_4(X1,X2,X3,X4)
    | vsubst(X1,X2,X3) != X4 ),
    inference(split_conjunct,[status(thm)],[i_0_85]),
    [final] ).

cnf(i_0_339,plain,
    ( X1 = vsomeExp(vsubst(esk71_2(X2,X1),esk72_2(X2,X1),esk73_2(X2,X1)))
    | X1 = vsomeExp(vapp(vabs(esk65_2(X2,X1),esk66_2(X2,X1),esk67_2(X2,X1)),vgetSomeExp(esk68_2(X2,X1))))
    | X2 = vabs(esk61_2(X2,X1),esk62_2(X2,X1),esk63_2(X2,X1))
    | X1 = vnoExp
    | ~ epred3_2(X1,X2) ),
    inference(split_conjunct,[status(thm)],[i_0_68]),
    [final] ).

cnf(i_0_340,plain,
    ( X1 = vapp(vabs(esk71_2(X1,X2),esk69_2(X1,X2),esk73_2(X1,X2)),esk72_2(X1,X2))
    | X2 = vsomeExp(vapp(vabs(esk65_2(X1,X2),esk66_2(X1,X2),esk67_2(X1,X2)),vgetSomeExp(esk68_2(X1,X2))))
    | X2 = vnoExp
    | X1 = vvar(esk60_2(X1,X2))
    | ~ epred3_2(X2,X1) ),
    inference(split_conjunct,[status(thm)],[i_0_68]),
    [final] ).

cnf(i_0_341,plain,
    ( X2 = vnoExp
    | X1 = vapp(vabs(esk71_2(X1,X2),esk69_2(X1,X2),esk73_2(X1,X2)),esk72_2(X1,X2))
    | X2 = vsomeExp(vapp(vabs(esk65_2(X1,X2),esk66_2(X1,X2),esk67_2(X1,X2)),vgetSomeExp(esk68_2(X1,X2))))
    | ~ epred3_2(X2,X1) ),
    inference(cn,[status(thm)],[i_0_89]),
    [final] ).

cnf(i_0_342,plain,
    ( X1 = vsomeExp(vsubst(esk71_2(X2,X1),esk72_2(X2,X1),esk73_2(X2,X1)))
    | X1 = vsomeExp(vapp(vabs(esk65_2(X2,X1),esk66_2(X2,X1),esk67_2(X2,X1)),vgetSomeExp(esk68_2(X2,X1))))
    | X1 = vnoExp
    | X2 = vvar(esk60_2(X2,X1))
    | ~ epred3_2(X1,X2) ),
    inference(split_conjunct,[status(thm)],[i_0_68]),
    [final] ).

cnf(i_0_343,plain,
    ( vtcheck(X1,esk29_3(X2,X3,X1),varrow(esk31_3(X2,X3,X1),X3))
    | X2 = vabs(esk25_3(X2,X3,X1),esk27_3(X2,X3,X1),esk26_3(X2,X3,X1))
    | vlookup(esk24_3(X2,X3,X1),X1) = vsomeType(X3)
    | ~ vtcheck(X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[i_0_88]),
    [final] ).

cnf(i_0_344,plain,
    ( vtcheck(X1,esk29_3(X2,X3,X1),varrow(esk31_3(X2,X3,X1),X3))
    | X2 = vabs(esk25_3(X2,X3,X1),esk27_3(X2,X3,X1),esk26_3(X2,X3,X1))
    | X2 = vvar(esk24_3(X2,X3,X1))
    | ~ vtcheck(X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[i_0_88]),
    [final] ).

cnf(i_0_345,plain,
    ( X1 = X2
    | vtcheck(vbind(X2,X4,vbind(X1,X3,X5)),X6,X7)
    | ~ vtcheck(vbind(X1,X3,vbind(X2,X4,X5)),X6,X7) ),
    inference(split_conjunct,[status(thm)],[i_0_90]),
    [final] ).

cnf(i_0_346,plain,
    ( X1 = vnoExp
    | X1 = vsomeExp(vsubst(esk71_2(X2,X1),esk72_2(X2,X1),esk73_2(X2,X1)))
    | X1 = vsomeExp(vapp(vabs(esk65_2(X2,X1),esk66_2(X2,X1),esk67_2(X2,X1)),vgetSomeExp(esk68_2(X2,X1))))
    | ~ epred3_2(X1,X2) ),
    inference(cn,[status(thm)],[i_0_91]),
    [final] ).

cnf(i_0_347,plain,
    ( X2 = vsomeExp(vapp(vabs(esk65_2(X1,X2),esk66_2(X1,X2),esk67_2(X1,X2)),vgetSomeExp(esk68_2(X1,X2))))
    | X1 = vabs(esk61_2(X1,X2),esk62_2(X1,X2),esk63_2(X1,X2))
    | X1 = vvar(esk60_2(X1,X2))
    | ~ visSomeExp(esk70_2(X1,X2))
    | ~ epred3_2(X2,X1) ),
    inference(split_conjunct,[status(thm)],[i_0_68]),
    [final] ).

cnf(i_0_348,plain,
    ( esk70_2(X1,X2) = vreduce(esk72_2(X1,X2))
    | X2 = vsomeExp(vapp(vabs(esk65_2(X1,X2),esk66_2(X1,X2),esk67_2(X1,X2)),vgetSomeExp(esk68_2(X1,X2))))
    | X1 = vabs(esk61_2(X1,X2),esk62_2(X1,X2),esk63_2(X1,X2))
    | X1 = vvar(esk60_2(X1,X2))
    | ~ epred3_2(X2,X1) ),
    inference(split_conjunct,[status(thm)],[i_0_68]),
    [final] ).

cnf(i_0_349,plain,
    ( X1 = X2
    | vtcheck(X4,vsubst(X1,X3,vabs(X2,X6,veabs)),X7)
    | ~ visFreeVar(X2,X3)
    | ~ vtcheck(X4,X3,X5)
    | ~ vtcheck(vbind(X1,X5,X4),vabs(X2,X6,veabs),X7) ),
    inference(split_conjunct,[status(thm)],[i_0_92]),
    [final] ).

cnf(i_0_350,plain,
    ( visValue(esk72_2(X1,X2))
    | X2 = vsomeExp(vapp(vabs(esk65_2(X1,X2),esk66_2(X1,X2),esk67_2(X1,X2)),vgetSomeExp(esk68_2(X1,X2))))
    | X1 = vabs(esk61_2(X1,X2),esk62_2(X1,X2),esk63_2(X1,X2))
    | X1 = vvar(esk60_2(X1,X2))
    | ~ epred3_2(X2,X1) ),
    inference(split_conjunct,[status(thm)],[i_0_68]),
    [final] ).

cnf(i_0_351,plain,
    ( X1 = X2
    | visFreeVar(X2,X3)
    | vtcheck(X4,vsubst(X1,X3,vabs(X2,X6,veabs)),X7)
    | ~ vtcheck(X4,X3,X5)
    | ~ vtcheck(vbind(X1,X5,X4),vabs(X2,X6,veabs),X7) ),
    inference(split_conjunct,[status(thm)],[i_0_93]),
    [final] ).

cnf(i_0_352,plain,
    ( vtcheck(X3,vsubst(X1,X4,vabs(X2,X6,X7)),X8)
    | X1 != X2
    | ~ vtcheck(X3,X4,X5)
    | ~ vtcheck(vbind(X1,X5,X3),vabs(X2,X6,X7),X8) ),
    inference(split_conjunct,[status(thm)],[i_0_94]),
    [final] ).

cnf(i_0_353,plain,
    ( X1 = esk42_4(X2,X1,X3,X4)
    | X1 = esk41_4(X2,X1,X3,X4)
    | ~ epred1_4(X4,X3,X1,X2) ),
    inference(split_conjunct,[status(thm)],[i_0_86]),
    [final] ).

cnf(i_0_354,plain,
    ( X1 = esk43_4(X1,X2,X3,X4)
    | X1 = esk39_4(X1,X2,X3,X4)
    | ~ epred1_4(X4,X3,X2,X1) ),
    inference(split_conjunct,[status(thm)],[i_0_86]),
    [final] ).

cnf(i_0_355,plain,
    ( X1 = esk43_4(X1,X2,X3,X4)
    | X2 = esk41_4(X1,X2,X3,X4)
    | ~ epred1_4(X4,X3,X2,X1) ),
    inference(split_conjunct,[status(thm)],[i_0_86]),
    [final] ).

cnf(i_0_356,plain,
    ( X1 = esk42_4(X2,X1,X3,X4)
    | X2 = esk39_4(X2,X1,X3,X4)
    | ~ epred1_4(X4,X3,X1,X2) ),
    inference(split_conjunct,[status(thm)],[i_0_86]),
    [final] ).

cnf(i_0_357,plain,
    ( X1 = esk43_4(X1,X2,X3,X4)
    | X4 = esk41_4(X1,X2,X3,X4)
    | ~ epred1_4(X4,X3,X2,X1) ),
    inference(split_conjunct,[status(thm)],[i_0_86]),
    [final] ).

cnf(i_0_358,plain,
    ( X1 = esk42_4(X2,X1,X3,X4)
    | X4 = esk41_4(X2,X1,X3,X4)
    | ~ epred1_4(X4,X3,X1,X2) ),
    inference(split_conjunct,[status(thm)],[i_0_86]),
    [final] ).

cnf(i_0_359,plain,
    ( X2 = vsomeExp(vapp(vabs(esk65_2(X1,X2),esk66_2(X1,X2),esk67_2(X1,X2)),vgetSomeExp(esk68_2(X1,X2))))
    | X1 = vabs(esk61_2(X1,X2),esk62_2(X1,X2),esk63_2(X1,X2))
    | X2 = vnoExp
    | ~ visSomeExp(esk70_2(X1,X2))
    | ~ epred3_2(X2,X1) ),
    inference(split_conjunct,[status(thm)],[i_0_68]),
    [final] ).

cnf(i_0_360,plain,
    ( esk70_2(X1,X2) = vreduce(esk72_2(X1,X2))
    | X2 = vsomeExp(vapp(vabs(esk65_2(X1,X2),esk66_2(X1,X2),esk67_2(X1,X2)),vgetSomeExp(esk68_2(X1,X2))))
    | X1 = vabs(esk61_2(X1,X2),esk62_2(X1,X2),esk63_2(X1,X2))
    | X2 = vnoExp
    | ~ epred3_2(X2,X1) ),
    inference(split_conjunct,[status(thm)],[i_0_68]),
    [final] ).

cnf(i_0_361,plain,
    ( visValue(esk72_2(X1,X2))
    | X2 = vsomeExp(vapp(vabs(esk65_2(X1,X2),esk66_2(X1,X2),esk67_2(X1,X2)),vgetSomeExp(esk68_2(X1,X2))))
    | X1 = vabs(esk61_2(X1,X2),esk62_2(X1,X2),esk63_2(X1,X2))
    | X2 = vnoExp
    | ~ epred3_2(X2,X1) ),
    inference(split_conjunct,[status(thm)],[i_0_68]),
    [final] ).

cnf(i_0_362,plain,
    ( vtcheck(X1,esk30_3(X2,X3,X1),esk31_3(X2,X3,X1))
    | X2 = vabs(esk25_3(X2,X3,X1),esk27_3(X2,X3,X1),esk26_3(X2,X3,X1))
    | vlookup(esk24_3(X2,X3,X1),X1) = vsomeType(X3)
    | ~ vtcheck(X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[i_0_88]),
    [final] ).

cnf(i_0_363,plain,
    ( vtcheck(X1,esk30_3(X2,X3,X1),esk31_3(X2,X3,X1))
    | X2 = vabs(esk25_3(X2,X3,X1),esk27_3(X2,X3,X1),esk26_3(X2,X3,X1))
    | X2 = vvar(esk24_3(X2,X3,X1))
    | ~ vtcheck(X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[i_0_88]),
    [final] ).

cnf(i_0_364,plain,
    ( vtcheck(X1,esk29_3(X2,X3,X1),varrow(esk31_3(X2,X3,X1),X3))
    | X3 = varrow(esk27_3(X2,X3,X1),esk28_3(X2,X3,X1))
    | vlookup(esk24_3(X2,X3,X1),X1) = vsomeType(X3)
    | ~ vtcheck(X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[i_0_88]),
    [final] ).

cnf(i_0_365,plain,
    ( X1 = vbind(esk7_3(X2,X1,X3),esk6_3(X2,X1,X3),esk9_3(X2,X1,X3))
    | X1 = vbind(esk4_3(X2,X1,X3),esk5_3(X2,X1,X3),esk2_3(X2,X1,X3))
    | X2 = esk1_3(X2,X1,X3)
    | vlookup(X2,X1) != X3 ),
    inference(split_conjunct,[status(thm)],[i_0_95]),
    [final] ).

cnf(i_0_366,plain,
    ( vtcheck(X1,esk29_3(X2,X3,X1),varrow(esk31_3(X2,X3,X1),X3))
    | X3 = varrow(esk27_3(X2,X3,X1),esk28_3(X2,X3,X1))
    | X2 = vvar(esk24_3(X2,X3,X1))
    | ~ vtcheck(X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[i_0_88]),
    [final] ).

cnf(i_0_367,plain,
    ( X1 = vapp(esk29_3(X1,X2,X3),esk30_3(X1,X2,X3))
    | X1 = vabs(esk25_3(X1,X2,X3),esk27_3(X1,X2,X3),esk26_3(X1,X2,X3))
    | vlookup(esk24_3(X1,X2,X3),X3) = vsomeType(X2)
    | ~ vtcheck(X3,X1,X2) ),
    inference(split_conjunct,[status(thm)],[i_0_88]),
    [final] ).

cnf(i_0_368,plain,
    ( X1 = vapp(esk29_3(X1,X2,X3),esk30_3(X1,X2,X3))
    | X1 = vabs(esk25_3(X1,X2,X3),esk27_3(X1,X2,X3),esk26_3(X1,X2,X3))
    | X1 = vvar(esk24_3(X1,X2,X3))
    | ~ vtcheck(X3,X1,X2) ),
    inference(split_conjunct,[status(thm)],[i_0_88]),
    [final] ).

cnf(i_0_369,plain,
    ( X1 = vapp(vabs(esk71_2(X1,X2),esk69_2(X1,X2),esk73_2(X1,X2)),esk72_2(X1,X2))
    | X1 = vapp(vabs(esk65_2(X1,X2),esk66_2(X1,X2),esk67_2(X1,X2)),esk64_2(X1,X2))
    | X1 = vabs(esk61_2(X1,X2),esk62_2(X1,X2),esk63_2(X1,X2))
    | X1 = vvar(esk60_2(X1,X2))
    | ~ epred3_2(X2,X1) ),
    inference(split_conjunct,[status(thm)],[i_0_68]),
    [final] ).

cnf(i_0_370,plain,
    ( X1 = vbind(esk7_3(X2,X1,X3),esk6_3(X2,X1,X3),esk9_3(X2,X1,X3))
    | X1 = vbind(esk4_3(X2,X1,X3),esk5_3(X2,X1,X3),esk2_3(X2,X1,X3))
    | X1 = vempty
    | vlookup(X2,X1) != X3 ),
    inference(split_conjunct,[status(thm)],[i_0_95]),
    [final] ).

cnf(i_0_371,plain,
    ( X1 = vbind(esk7_3(X2,X1,X3),esk6_3(X2,X1,X3),esk9_3(X2,X1,X3))
    | X1 = vbind(esk4_3(X2,X1,X3),esk5_3(X2,X1,X3),esk2_3(X2,X1,X3))
    | X3 = vnoType
    | vlookup(X2,X1) != X3 ),
    inference(split_conjunct,[status(thm)],[i_0_95]),
    [final] ).

cnf(i_0_372,plain,
    ( X2 = vsomeExp(vapp(vabs(esk65_2(X1,X2),esk66_2(X1,X2),esk67_2(X1,X2)),vgetSomeExp(esk68_2(X1,X2))))
    | X2 = vnoExp
    | X1 = vvar(esk60_2(X1,X2))
    | ~ visSomeExp(esk70_2(X1,X2))
    | ~ epred3_2(X2,X1) ),
    inference(split_conjunct,[status(thm)],[i_0_68]),
    [final] ).

cnf(i_0_373,plain,
    ( esk70_2(X1,X2) = vreduce(esk72_2(X1,X2))
    | X2 = vsomeExp(vapp(vabs(esk65_2(X1,X2),esk66_2(X1,X2),esk67_2(X1,X2)),vgetSomeExp(esk68_2(X1,X2))))
    | X2 = vnoExp
    | X1 = vvar(esk60_2(X1,X2))
    | ~ epred3_2(X2,X1) ),
    inference(split_conjunct,[status(thm)],[i_0_68]),
    [final] ).

cnf(i_0_374,plain,
    ( X1 = vapp(vabs(esk71_2(X1,X2),esk69_2(X1,X2),esk73_2(X1,X2)),esk72_2(X1,X2))
    | X1 = vapp(vabs(esk65_2(X1,X2),esk66_2(X1,X2),esk67_2(X1,X2)),esk64_2(X1,X2))
    | X1 = vabs(esk61_2(X1,X2),esk62_2(X1,X2),esk63_2(X1,X2))
    | X2 = vnoExp
    | ~ epred3_2(X2,X1) ),
    inference(split_conjunct,[status(thm)],[i_0_68]),
    [final] ).

cnf(i_0_375,plain,
    ( X1 = vsomeExp(vsubst(esk71_2(X2,X1),esk72_2(X2,X1),esk73_2(X2,X1)))
    | X2 = vapp(vabs(esk65_2(X2,X1),esk66_2(X2,X1),esk67_2(X2,X1)),esk64_2(X2,X1))
    | X2 = vabs(esk61_2(X2,X1),esk62_2(X2,X1),esk63_2(X2,X1))
    | X2 = vvar(esk60_2(X2,X1))
    | ~ epred3_2(X1,X2) ),
    inference(split_conjunct,[status(thm)],[i_0_68]),
    [final] ).

cnf(i_0_376,plain,
    ( visValue(esk72_2(X1,X2))
    | X2 = vsomeExp(vapp(vabs(esk65_2(X1,X2),esk66_2(X1,X2),esk67_2(X1,X2)),vgetSomeExp(esk68_2(X1,X2))))
    | X2 = vnoExp
    | X1 = vvar(esk60_2(X1,X2))
    | ~ epred3_2(X2,X1) ),
    inference(split_conjunct,[status(thm)],[i_0_68]),
    [final] ).

cnf(i_0_377,plain,
    ( X2 = X6
    | X10 = vsubst(X2,X4,vabs(X9,X7,vsubst(X6,vvar(X9),X8)))
    | X1 != X2
    | X3 != X4
    | X5 != vabs(X6,X7,X8)
    | ~ visFreeVar(X6,X4)
    | X9 != vgensym(vapp(vapp(X4,X8),vvar(X2)))
    | X10 != vsubst(X1,X3,X5) ),
    inference(split_conjunct,[status(thm)],[i_0_96]),
    [final] ).

cnf(i_0_378,plain,
    ( vtcheck(vbind(X1,X3,X5),X6,X7)
    | X1 != X2
    | ~ vtcheck(vbind(X1,X3,vbind(X2,X4,X5)),X6,X7) ),
    inference(split_conjunct,[status(thm)],[i_0_97]),
    [final] ).

cnf(i_0_379,plain,
    ( X2 = vnoExp
    | X2 = vsomeExp(vapp(vabs(esk65_2(X1,X2),esk66_2(X1,X2),esk67_2(X1,X2)),vgetSomeExp(esk68_2(X1,X2))))
    | ~ epred3_2(X2,X1)
    | ~ visSomeExp(esk70_2(X1,X2)) ),
    inference(cn,[status(thm)],[i_0_98]),
    [final] ).

cnf(i_0_380,plain,
    ( X2 = vnoExp
    | esk70_2(X1,X2) = vreduce(esk72_2(X1,X2))
    | X2 = vsomeExp(vapp(vabs(esk65_2(X1,X2),esk66_2(X1,X2),esk67_2(X1,X2)),vgetSomeExp(esk68_2(X1,X2))))
    | ~ epred3_2(X2,X1) ),
    inference(cn,[status(thm)],[i_0_99]),
    [final] ).

cnf(i_0_381,plain,
    ( X1 = vsomeExp(vsubst(esk71_2(X2,X1),esk72_2(X2,X1),esk73_2(X2,X1)))
    | X2 = vapp(vabs(esk65_2(X2,X1),esk66_2(X2,X1),esk67_2(X2,X1)),esk64_2(X2,X1))
    | X2 = vabs(esk61_2(X2,X1),esk62_2(X2,X1),esk63_2(X2,X1))
    | X1 = vnoExp
    | ~ epred3_2(X1,X2) ),
    inference(split_conjunct,[status(thm)],[i_0_68]),
    [final] ).

cnf(i_0_382,plain,
    ( X2 = vnoExp
    | X2 = vsomeExp(vapp(vabs(esk65_2(X1,X2),esk66_2(X1,X2),esk67_2(X1,X2)),vgetSomeExp(esk68_2(X1,X2))))
    | visValue(esk72_2(X1,X2))
    | ~ epred3_2(X2,X1) ),
    inference(cn,[status(thm)],[i_0_100]),
    [final] ).

cnf(i_0_383,plain,
    ( vtcheck(X1,esk30_3(X2,X3,X1),esk31_3(X2,X3,X1))
    | X3 = varrow(esk27_3(X2,X3,X1),esk28_3(X2,X3,X1))
    | vlookup(esk24_3(X2,X3,X1),X1) = vsomeType(X3)
    | ~ vtcheck(X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[i_0_88]),
    [final] ).

cnf(i_0_384,plain,
    ( vtcheck(X1,esk30_3(X2,X3,X1),esk31_3(X2,X3,X1))
    | X3 = varrow(esk27_3(X2,X3,X1),esk28_3(X2,X3,X1))
    | X2 = vvar(esk24_3(X2,X3,X1))
    | ~ vtcheck(X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[i_0_88]),
    [final] ).

cnf(i_0_385,plain,
    ( X1 = vlookup(esk8_3(X2,X3,X1),esk9_3(X2,X3,X1))
    | X3 = vbind(esk4_3(X2,X3,X1),esk5_3(X2,X3,X1),esk2_3(X2,X3,X1))
    | X2 = esk1_3(X2,X3,X1)
    | vlookup(X2,X3) != X1 ),
    inference(split_conjunct,[status(thm)],[i_0_95]),
    [final] ).

cnf(i_0_386,plain,
    ( X1 = vapp(esk29_3(X1,X2,X3),esk30_3(X1,X2,X3))
    | X2 = varrow(esk27_3(X1,X2,X3),esk28_3(X1,X2,X3))
    | vlookup(esk24_3(X1,X2,X3),X3) = vsomeType(X2)
    | ~ vtcheck(X3,X1,X2) ),
    inference(split_conjunct,[status(thm)],[i_0_88]),
    [final] ).

cnf(i_0_387,plain,
    ( X1 = vapp(vabs(esk71_2(X1,X2),esk69_2(X1,X2),esk73_2(X1,X2)),esk72_2(X1,X2))
    | X1 = vapp(vabs(esk65_2(X1,X2),esk66_2(X1,X2),esk67_2(X1,X2)),esk64_2(X1,X2))
    | X2 = vnoExp
    | X1 = vvar(esk60_2(X1,X2))
    | ~ epred3_2(X2,X1) ),
    inference(split_conjunct,[status(thm)],[i_0_68]),
    [final] ).

cnf(i_0_388,plain,
    ( X1 = vapp(esk29_3(X1,X2,X3),esk30_3(X1,X2,X3))
    | X2 = varrow(esk27_3(X1,X2,X3),esk28_3(X1,X2,X3))
    | X1 = vvar(esk24_3(X1,X2,X3))
    | ~ vtcheck(X3,X1,X2) ),
    inference(split_conjunct,[status(thm)],[i_0_88]),
    [final] ).

cnf(i_0_389,plain,
    ( X2 = vnoExp
    | X1 = vapp(vabs(esk65_2(X1,X2),esk66_2(X1,X2),esk67_2(X1,X2)),esk64_2(X1,X2))
    | X1 = vapp(vabs(esk71_2(X1,X2),esk69_2(X1,X2),esk73_2(X1,X2)),esk72_2(X1,X2))
    | ~ epred3_2(X2,X1) ),
    inference(cn,[status(thm)],[i_0_101]),
    [final] ).

cnf(i_0_390,plain,
    ( X1 = vlookup(esk8_3(X2,X3,X1),esk9_3(X2,X3,X1))
    | X3 = vbind(esk4_3(X2,X3,X1),esk5_3(X2,X3,X1),esk2_3(X2,X3,X1))
    | X1 = vnoType
    | vlookup(X2,X3) != X1 ),
    inference(split_conjunct,[status(thm)],[i_0_95]),
    [final] ).

cnf(i_0_391,plain,
    ( X1 = vlookup(esk8_3(X2,X3,X1),esk9_3(X2,X3,X1))
    | X3 = vbind(esk4_3(X2,X3,X1),esk5_3(X2,X3,X1),esk2_3(X2,X3,X1))
    | X3 = vempty
    | vlookup(X2,X3) != X1 ),
    inference(split_conjunct,[status(thm)],[i_0_95]),
    [final] ).

cnf(i_0_392,plain,
    ( X2 = vbind(esk4_3(X1,X2,X3),esk5_3(X1,X2,X3),esk2_3(X1,X2,X3))
    | X1 = esk1_3(X1,X2,X3)
    | esk8_3(X1,X2,X3) != esk7_3(X1,X2,X3)
    | vlookup(X1,X2) != X3 ),
    inference(split_conjunct,[status(thm)],[i_0_95]),
    [final] ).

cnf(i_0_393,plain,
    ( X1 = vsomeExp(vsubst(esk71_2(X2,X1),esk72_2(X2,X1),esk73_2(X2,X1)))
    | X2 = vapp(vabs(esk65_2(X2,X1),esk66_2(X2,X1),esk67_2(X2,X1)),esk64_2(X2,X1))
    | X1 = vnoExp
    | X2 = vvar(esk60_2(X2,X1))
    | ~ epred3_2(X1,X2) ),
    inference(split_conjunct,[status(thm)],[i_0_68]),
    [final] ).

cnf(i_0_394,plain,
    ( X1 = vnoExp
    | X1 = vsomeExp(vsubst(esk71_2(X2,X1),esk72_2(X2,X1),esk73_2(X2,X1)))
    | X2 = vapp(vabs(esk65_2(X2,X1),esk66_2(X2,X1),esk67_2(X2,X1)),esk64_2(X2,X1))
    | ~ epred3_2(X1,X2) ),
    inference(cn,[status(thm)],[i_0_102]),
    [final] ).

cnf(i_0_395,plain,
    ( X1 = esk13_4(X2,X1,X3,X4)
    | epred2_4(X4,X3,X1,X2)
    | vsubst(X2,X1,X3) != X4 ),
    inference(split_conjunct,[status(thm)],[i_0_85]),
    [final] ).

cnf(i_0_396,plain,
    ( X1 = esk12_4(X1,X2,X3,X4)
    | epred2_4(X4,X3,X2,X1)
    | vsubst(X1,X2,X3) != X4 ),
    inference(split_conjunct,[status(thm)],[i_0_85]),
    [final] ).

cnf(i_0_397,plain,
    ( X2 = vbind(esk4_3(X1,X2,X3),esk5_3(X1,X2,X3),esk2_3(X1,X2,X3))
    | X2 = vempty
    | esk8_3(X1,X2,X3) != esk7_3(X1,X2,X3)
    | vlookup(X1,X2) != X3 ),
    inference(split_conjunct,[status(thm)],[i_0_95]),
    [final] ).

cnf(i_0_398,plain,
    ( X2 = vbind(esk4_3(X1,X2,X3),esk5_3(X1,X2,X3),esk2_3(X1,X2,X3))
    | X3 = vnoType
    | esk8_3(X1,X2,X3) != esk7_3(X1,X2,X3)
    | vlookup(X1,X2) != X3 ),
    inference(split_conjunct,[status(thm)],[i_0_95]),
    [final] ).

cnf(i_0_399,plain,
    ( X1 = vbind(esk7_3(X2,X1,X3),esk6_3(X2,X1,X3),esk9_3(X2,X1,X3))
    | X3 = vsomeType(esk5_3(X2,X1,X3))
    | X2 = esk1_3(X2,X1,X3)
    | vlookup(X2,X1) != X3 ),
    inference(split_conjunct,[status(thm)],[i_0_95]),
    [final] ).

cnf(i_0_400,plain,
    ( X1 = vbind(esk7_3(X2,X1,X3),esk6_3(X2,X1,X3),esk9_3(X2,X1,X3))
    | esk3_3(X2,X1,X3) = esk4_3(X2,X1,X3)
    | X2 = esk1_3(X2,X1,X3)
    | vlookup(X2,X1) != X3 ),
    inference(split_conjunct,[status(thm)],[i_0_95]),
    [final] ).

cnf(i_0_401,negated_conjecture,
    ~ vtcheck(esk33_0,vsubst(esk34_0,esk35_0,vabs(esk36_0,esk37_0,veabs)),esk38_0),
    inference(split_conjunct,[status(thm)],[i_0_103]),
    [final] ).

cnf(i_0_402,plain,
    ( X1 = vsomeExp(vapp(vgetSomeExp(esk80_2(X2,X1)),esk81_2(X2,X1)))
    | X2 = vapp(vabs(esk74_2(X2,X1),esk75_2(X2,X1),esk76_2(X2,X1)),esk78_2(X2,X1))
    | epred3_2(X1,X2)
    | ~ epred4_2(X1,X2) ),
    inference(split_conjunct,[status(thm)],[i_0_104]),
    [final] ).

cnf(i_0_403,plain,
    ( X1 = vapp(vabs(esk65_2(X1,X2),esk66_2(X1,X2),esk67_2(X1,X2)),esk64_2(X1,X2))
    | X1 = vabs(esk61_2(X1,X2),esk62_2(X1,X2),esk63_2(X1,X2))
    | X1 = vvar(esk60_2(X1,X2))
    | ~ visSomeExp(esk70_2(X1,X2))
    | ~ epred3_2(X2,X1) ),
    inference(split_conjunct,[status(thm)],[i_0_68]),
    [final] ).

cnf(i_0_404,plain,
    ( esk70_2(X1,X2) = vreduce(esk72_2(X1,X2))
    | X1 = vapp(vabs(esk65_2(X1,X2),esk66_2(X1,X2),esk67_2(X1,X2)),esk64_2(X1,X2))
    | X1 = vabs(esk61_2(X1,X2),esk62_2(X1,X2),esk63_2(X1,X2))
    | X1 = vvar(esk60_2(X1,X2))
    | ~ epred3_2(X2,X1) ),
    inference(split_conjunct,[status(thm)],[i_0_68]),
    [final] ).

cnf(i_0_405,plain,
    ( X1 = vapp(vabs(esk71_2(X1,X2),esk69_2(X1,X2),esk73_2(X1,X2)),esk72_2(X1,X2))
    | esk68_2(X1,X2) = vreduce(esk64_2(X1,X2))
    | X1 = vabs(esk61_2(X1,X2),esk62_2(X1,X2),esk63_2(X1,X2))
    | X1 = vvar(esk60_2(X1,X2))
    | ~ epred3_2(X2,X1) ),
    inference(split_conjunct,[status(thm)],[i_0_68]),
    [final] ).

cnf(i_0_406,plain,
    ( X1 = vapp(vabs(esk71_2(X1,X2),esk69_2(X1,X2),esk73_2(X1,X2)),esk72_2(X1,X2))
    | visSomeExp(esk68_2(X1,X2))
    | X1 = vabs(esk61_2(X1,X2),esk62_2(X1,X2),esk63_2(X1,X2))
    | X1 = vvar(esk60_2(X1,X2))
    | ~ epred3_2(X2,X1) ),
    inference(split_conjunct,[status(thm)],[i_0_68]),
    [final] ).

cnf(i_0_407,plain,
    ( visValue(esk72_2(X1,X2))
    | X1 = vapp(vabs(esk65_2(X1,X2),esk66_2(X1,X2),esk67_2(X1,X2)),esk64_2(X1,X2))
    | X1 = vabs(esk61_2(X1,X2),esk62_2(X1,X2),esk63_2(X1,X2))
    | X1 = vvar(esk60_2(X1,X2))
    | ~ epred3_2(X2,X1) ),
    inference(split_conjunct,[status(thm)],[i_0_68]),
    [final] ).

cnf(i_0_408,plain,
    ( X1 = vbind(esk7_3(X2,X1,X3),esk6_3(X2,X1,X3),esk9_3(X2,X1,X3))
    | X3 = vsomeType(esk5_3(X2,X1,X3))
    | X1 = vempty
    | vlookup(X2,X1) != X3 ),
    inference(split_conjunct,[status(thm)],[i_0_95]),
    [final] ).

cnf(i_0_409,plain,
    ( X1 = vbind(esk7_3(X2,X1,X3),esk6_3(X2,X1,X3),esk9_3(X2,X1,X3))
    | X3 = vsomeType(esk5_3(X2,X1,X3))
    | X3 = vnoType
    | vlookup(X2,X1) != X3 ),
    inference(split_conjunct,[status(thm)],[i_0_95]),
    [final] ).

cnf(i_0_410,plain,
    ( X1 = esk8_3(X1,X2,X3)
    | X2 = vbind(esk4_3(X1,X2,X3),esk5_3(X1,X2,X3),esk2_3(X1,X2,X3))
    | X1 = esk1_3(X1,X2,X3)
    | vlookup(X1,X2) != X3 ),
    inference(split_conjunct,[status(thm)],[i_0_95]),
    [final] ).

cnf(i_0_411,plain,
    ( X1 = vbind(esk7_3(X2,X1,X3),esk6_3(X2,X1,X3),esk9_3(X2,X1,X3))
    | X2 = esk3_3(X2,X1,X3)
    | X2 = esk1_3(X2,X1,X3)
    | vlookup(X2,X1) != X3 ),
    inference(split_conjunct,[status(thm)],[i_0_95]),
    [final] ).

cnf(i_0_412,plain,
    ( X1 = vbind(esk7_3(X2,X1,X3),esk6_3(X2,X1,X3),esk9_3(X2,X1,X3))
    | esk3_3(X2,X1,X3) = esk4_3(X2,X1,X3)
    | X1 = vempty
    | vlookup(X2,X1) != X3 ),
    inference(split_conjunct,[status(thm)],[i_0_95]),
    [final] ).

cnf(i_0_413,plain,
    ( X1 = vbind(esk7_3(X2,X1,X3),esk6_3(X2,X1,X3),esk9_3(X2,X1,X3))
    | esk3_3(X2,X1,X3) = esk4_3(X2,X1,X3)
    | X3 = vnoType
    | vlookup(X2,X1) != X3 ),
    inference(split_conjunct,[status(thm)],[i_0_95]),
    [final] ).

cnf(i_0_414,plain,
    ( X1 = vapp(vabs(esk65_2(X1,X2),esk66_2(X1,X2),esk67_2(X1,X2)),esk64_2(X1,X2))
    | X1 = vabs(esk61_2(X1,X2),esk62_2(X1,X2),esk63_2(X1,X2))
    | X2 = vnoExp
    | ~ visSomeExp(esk70_2(X1,X2))
    | ~ epred3_2(X2,X1) ),
    inference(split_conjunct,[status(thm)],[i_0_68]),
    [final] ).

cnf(i_0_415,plain,
    ( esk70_2(X1,X2) = vreduce(esk72_2(X1,X2))
    | X1 = vapp(vabs(esk65_2(X1,X2),esk66_2(X1,X2),esk67_2(X1,X2)),esk64_2(X1,X2))
    | X1 = vabs(esk61_2(X1,X2),esk62_2(X1,X2),esk63_2(X1,X2))
    | X2 = vnoExp
    | ~ epred3_2(X2,X1) ),
    inference(split_conjunct,[status(thm)],[i_0_68]),
    [final] ).

cnf(i_0_416,plain,
    ( X1 = vapp(vabs(esk71_2(X1,X2),esk69_2(X1,X2),esk73_2(X1,X2)),esk72_2(X1,X2))
    | esk68_2(X1,X2) = vreduce(esk64_2(X1,X2))
    | X1 = vabs(esk61_2(X1,X2),esk62_2(X1,X2),esk63_2(X1,X2))
    | X2 = vnoExp
    | ~ epred3_2(X2,X1) ),
    inference(split_conjunct,[status(thm)],[i_0_68]),
    [final] ).

cnf(i_0_417,plain,
    ( X1 = vsomeExp(vsubst(esk71_2(X2,X1),esk72_2(X2,X1),esk73_2(X2,X1)))
    | esk68_2(X2,X1) = vreduce(esk64_2(X2,X1))
    | X2 = vabs(esk61_2(X2,X1),esk62_2(X2,X1),esk63_2(X2,X1))
    | X2 = vvar(esk60_2(X2,X1))
    | ~ epred3_2(X1,X2) ),
    inference(split_conjunct,[status(thm)],[i_0_68]),
    [final] ).

cnf(i_0_418,plain,
    ( vtcheck(X1,vsubst(X4,X2,veabs),X5)
    | ~ vtcheck(X1,X2,X3)
    | ~ vtcheck(vbind(X4,X3,X1),veabs,X5) ),
    inference(split_conjunct,[status(thm)],[i_0_105]),
    [final] ).

cnf(i_0_419,plain,
    ( X1 = vapp(vabs(esk71_2(X1,X2),esk69_2(X1,X2),esk73_2(X1,X2)),esk72_2(X1,X2))
    | visSomeExp(esk68_2(X1,X2))
    | X1 = vabs(esk61_2(X1,X2),esk62_2(X1,X2),esk63_2(X1,X2))
    | X2 = vnoExp
    | ~ epred3_2(X2,X1) ),
    inference(split_conjunct,[status(thm)],[i_0_68]),
    [final] ).

cnf(i_0_420,plain,
    ( visValue(esk72_2(X1,X2))
    | X1 = vapp(vabs(esk65_2(X1,X2),esk66_2(X1,X2),esk67_2(X1,X2)),esk64_2(X1,X2))
    | X1 = vabs(esk61_2(X1,X2),esk62_2(X1,X2),esk63_2(X1,X2))
    | X2 = vnoExp
    | ~ epred3_2(X2,X1) ),
    inference(split_conjunct,[status(thm)],[i_0_68]),
    [final] ).

cnf(i_0_421,plain,
    ( X1 = vsomeExp(vsubst(esk71_2(X2,X1),esk72_2(X2,X1),esk73_2(X2,X1)))
    | visSomeExp(esk68_2(X2,X1))
    | X2 = vabs(esk61_2(X2,X1),esk62_2(X2,X1),esk63_2(X2,X1))
    | X2 = vvar(esk60_2(X2,X1))
    | ~ epred3_2(X1,X2) ),
    inference(split_conjunct,[status(thm)],[i_0_68]),
    [final] ).

cnf(i_0_422,plain,
    ( X7 = vsomeExp(vapp(vabs(X2,X3,X4),vgetSomeExp(X6)))
    | X1 != vapp(vabs(X2,X3,X4),X5)
    | X6 != vreduce(X5)
    | ~ visSomeExp(X6)
    | X7 != vreduce(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_106]),
    [final] ).

cnf(i_0_423,plain,
    ( X1 = vsomeExp(vsubst(esk71_2(X2,X1),esk72_2(X2,X1),esk73_2(X2,X1)))
    | esk68_2(X2,X1) = vreduce(esk64_2(X2,X1))
    | X2 = vabs(esk61_2(X2,X1),esk62_2(X2,X1),esk63_2(X2,X1))
    | X1 = vnoExp
    | ~ epred3_2(X1,X2) ),
    inference(split_conjunct,[status(thm)],[i_0_68]),
    [final] ).

cnf(i_0_424,plain,
    ( X1 = vbind(esk7_3(X2,X1,X3),esk6_3(X2,X1,X3),esk9_3(X2,X1,X3))
    | X2 = esk3_3(X2,X1,X3)
    | X1 = vempty
    | vlookup(X2,X1) != X3 ),
    inference(split_conjunct,[status(thm)],[i_0_95]),
    [final] ).

cnf(i_0_425,plain,
    ( X1 = esk8_3(X1,X2,X3)
    | X2 = vbind(esk4_3(X1,X2,X3),esk5_3(X1,X2,X3),esk2_3(X1,X2,X3))
    | X2 = vempty
    | vlookup(X1,X2) != X3 ),
    inference(split_conjunct,[status(thm)],[i_0_95]),
    [final] ).

cnf(i_0_426,plain,
    ( X1 = esk8_3(X1,X2,X3)
    | X2 = vbind(esk4_3(X1,X2,X3),esk5_3(X1,X2,X3),esk2_3(X1,X2,X3))
    | X3 = vnoType
    | vlookup(X1,X2) != X3 ),
    inference(split_conjunct,[status(thm)],[i_0_95]),
    [final] ).

cnf(i_0_427,plain,
    ( X1 = vbind(esk7_3(X2,X1,X3),esk6_3(X2,X1,X3),esk9_3(X2,X1,X3))
    | X2 = esk3_3(X2,X1,X3)
    | X3 = vnoType
    | vlookup(X2,X1) != X3 ),
    inference(split_conjunct,[status(thm)],[i_0_95]),
    [final] ).

cnf(i_0_428,plain,
    ( X1 = vsomeExp(vsubst(esk71_2(X2,X1),esk72_2(X2,X1),esk73_2(X2,X1)))
    | visSomeExp(esk68_2(X2,X1))
    | X2 = vabs(esk61_2(X2,X1),esk62_2(X2,X1),esk63_2(X2,X1))
    | X1 = vnoExp
    | ~ epred3_2(X1,X2) ),
    inference(split_conjunct,[status(thm)],[i_0_68]),
    [final] ).

cnf(i_0_429,plain,
    ( X1 = vapp(vabs(esk74_2(X1,X2),esk75_2(X1,X2),esk76_2(X1,X2)),esk78_2(X1,X2))
    | epred3_2(X2,X1)
    | esk79_2(X1,X2) != vabs(X3,X4,X5)
    | ~ epred4_2(X2,X1) ),
    inference(split_conjunct,[status(thm)],[i_0_104]),
    [final] ).

cnf(i_0_430,plain,
    ( vtcheck(X3,vabs(X1,X2,X4),varrow(X2,X5))
    | ~ vtcheck(vbind(X1,X2,X3),X4,X5) ),
    inference(split_conjunct,[status(thm)],[i_0_107]),
    [final] ).

cnf(i_0_431,plain,
    ( X1 = vlookup(esk8_3(X2,X3,X1),esk9_3(X2,X3,X1))
    | X1 = vsomeType(esk5_3(X2,X3,X1))
    | X2 = esk1_3(X2,X3,X1)
    | vlookup(X2,X3) != X1 ),
    inference(split_conjunct,[status(thm)],[i_0_95]),
    [final] ).

cnf(i_0_432,plain,
    ( X1 = vlookup(esk8_3(X2,X3,X1),esk9_3(X2,X3,X1))
    | esk3_3(X2,X3,X1) = esk4_3(X2,X3,X1)
    | X2 = esk1_3(X2,X3,X1)
    | vlookup(X2,X3) != X1 ),
    inference(split_conjunct,[status(thm)],[i_0_95]),
    [final] ).

cnf(i_0_433,plain,
    ( X1 = vapp(esk79_2(X1,X2),esk81_2(X1,X2))
    | X1 = vapp(vabs(esk74_2(X1,X2),esk75_2(X1,X2),esk76_2(X1,X2)),esk78_2(X1,X2))
    | epred3_2(X2,X1)
    | ~ epred4_2(X2,X1) ),
    inference(split_conjunct,[status(thm)],[i_0_104]),
    [final] ).

cnf(i_0_434,plain,
    ( X1 = vapp(vabs(esk65_2(X1,X2),esk66_2(X1,X2),esk67_2(X1,X2)),esk64_2(X1,X2))
    | X2 = vnoExp
    | X1 = vvar(esk60_2(X1,X2))
    | ~ visSomeExp(esk70_2(X1,X2))
    | ~ epred3_2(X2,X1) ),
    inference(split_conjunct,[status(thm)],[i_0_68]),
    [final] ).

cnf(i_0_435,plain,
    ( esk70_2(X1,X2) = vreduce(esk72_2(X1,X2))
    | X1 = vapp(vabs(esk65_2(X1,X2),esk66_2(X1,X2),esk67_2(X1,X2)),esk64_2(X1,X2))
    | X2 = vnoExp
    | X1 = vvar(esk60_2(X1,X2))
    | ~ epred3_2(X2,X1) ),
    inference(split_conjunct,[status(thm)],[i_0_68]),
    [final] ).

cnf(i_0_436,plain,
    ( X1 = vapp(vabs(esk71_2(X1,X2),esk69_2(X1,X2),esk73_2(X1,X2)),esk72_2(X1,X2))
    | esk68_2(X1,X2) = vreduce(esk64_2(X1,X2))
    | X2 = vnoExp
    | X1 = vvar(esk60_2(X1,X2))
    | ~ epred3_2(X2,X1) ),
    inference(split_conjunct,[status(thm)],[i_0_68]),
    [final] ).

cnf(i_0_437,plain,
    ( X1 = vapp(vabs(esk71_2(X1,X2),esk69_2(X1,X2),esk73_2(X1,X2)),esk72_2(X1,X2))
    | visSomeExp(esk68_2(X1,X2))
    | X2 = vnoExp
    | X1 = vvar(esk60_2(X1,X2))
    | ~ epred3_2(X2,X1) ),
    inference(split_conjunct,[status(thm)],[i_0_68]),
    [final] ).

cnf(i_0_438,plain,
    ( visValue(esk72_2(X1,X2))
    | X1 = vapp(vabs(esk65_2(X1,X2),esk66_2(X1,X2),esk67_2(X1,X2)),esk64_2(X1,X2))
    | X2 = vnoExp
    | X1 = vvar(esk60_2(X1,X2))
    | ~ epred3_2(X2,X1) ),
    inference(split_conjunct,[status(thm)],[i_0_68]),
    [final] ).

cnf(i_0_439,plain,
    ( esk80_2(X1,X2) = vreduce(esk79_2(X1,X2))
    | X1 = vapp(vabs(esk74_2(X1,X2),esk75_2(X1,X2),esk76_2(X1,X2)),esk78_2(X1,X2))
    | epred3_2(X2,X1)
    | ~ epred4_2(X2,X1) ),
    inference(split_conjunct,[status(thm)],[i_0_104]),
    [final] ).

cnf(i_0_440,plain,
    ( X2 = vnoExp
    | X1 = vapp(vabs(esk65_2(X1,X2),esk66_2(X1,X2),esk67_2(X1,X2)),esk64_2(X1,X2))
    | ~ epred3_2(X2,X1)
    | ~ visSomeExp(esk70_2(X1,X2)) ),
    inference(cn,[status(thm)],[i_0_108]),
    [final] ).

cnf(i_0_441,plain,
    ( X2 = vnoExp
    | esk70_2(X1,X2) = vreduce(esk72_2(X1,X2))
    | X1 = vapp(vabs(esk65_2(X1,X2),esk66_2(X1,X2),esk67_2(X1,X2)),esk64_2(X1,X2))
    | ~ epred3_2(X2,X1) ),
    inference(cn,[status(thm)],[i_0_109]),
    [final] ).

cnf(i_0_442,plain,
    ( X2 = vnoExp
    | esk68_2(X1,X2) = vreduce(esk64_2(X1,X2))
    | X1 = vapp(vabs(esk71_2(X1,X2),esk69_2(X1,X2),esk73_2(X1,X2)),esk72_2(X1,X2))
    | ~ epred3_2(X2,X1) ),
    inference(cn,[status(thm)],[i_0_110]),
    [final] ).

cnf(i_0_443,plain,
    ( visSomeExp(esk80_2(X1,X2))
    | X1 = vapp(vabs(esk74_2(X1,X2),esk75_2(X1,X2),esk76_2(X1,X2)),esk78_2(X1,X2))
    | epred3_2(X2,X1)
    | ~ epred4_2(X2,X1) ),
    inference(split_conjunct,[status(thm)],[i_0_104]),
    [final] ).

cnf(i_0_444,plain,
    ( X1 = vsomeExp(vsubst(esk71_2(X2,X1),esk72_2(X2,X1),esk73_2(X2,X1)))
    | esk68_2(X2,X1) = vreduce(esk64_2(X2,X1))
    | X1 = vnoExp
    | X2 = vvar(esk60_2(X2,X1))
    | ~ epred3_2(X1,X2) ),
    inference(split_conjunct,[status(thm)],[i_0_68]),
    [final] ).

cnf(i_0_445,plain,
    ( X1 = vlookup(esk8_3(X2,X3,X1),esk9_3(X2,X3,X1))
    | X1 = vsomeType(esk5_3(X2,X3,X1))
    | X1 = vnoType
    | vlookup(X2,X3) != X1 ),
    inference(split_conjunct,[status(thm)],[i_0_95]),
    [final] ).

cnf(i_0_446,plain,
    ( X1 = vlookup(esk8_3(X2,X3,X1),esk9_3(X2,X3,X1))
    | X1 = vsomeType(esk5_3(X2,X3,X1))
    | X3 = vempty
    | vlookup(X2,X3) != X1 ),
    inference(split_conjunct,[status(thm)],[i_0_95]),
    [final] ).

cnf(i_0_447,plain,
    ( X1 = vlookup(esk8_3(X2,X3,X1),esk9_3(X2,X3,X1))
    | X2 = esk3_3(X2,X3,X1)
    | X2 = esk1_3(X2,X3,X1)
    | vlookup(X2,X3) != X1 ),
    inference(split_conjunct,[status(thm)],[i_0_95]),
    [final] ).

cnf(i_0_448,plain,
    ( X1 = vlookup(esk8_3(X2,X3,X1),esk9_3(X2,X3,X1))
    | esk3_3(X2,X3,X1) = esk4_3(X2,X3,X1)
    | X1 = vnoType
    | vlookup(X2,X3) != X1 ),
    inference(split_conjunct,[status(thm)],[i_0_95]),
    [final] ).

cnf(i_0_449,plain,
    ( X1 = vlookup(esk8_3(X2,X3,X1),esk9_3(X2,X3,X1))
    | esk3_3(X2,X3,X1) = esk4_3(X2,X3,X1)
    | X3 = vempty
    | vlookup(X2,X3) != X1 ),
    inference(split_conjunct,[status(thm)],[i_0_95]),
    [final] ).

cnf(i_0_450,plain,
    ( X3 = vsomeType(esk5_3(X1,X2,X3))
    | X1 = esk1_3(X1,X2,X3)
    | esk8_3(X1,X2,X3) != esk7_3(X1,X2,X3)
    | vlookup(X1,X2) != X3 ),
    inference(split_conjunct,[status(thm)],[i_0_95]),
    [final] ).

cnf(i_0_451,plain,
    ( X2 = X6
    | visFreeVar(X6,X4)
    | X9 = vabs(X6,X7,vsubst(X2,X4,X8))
    | X1 != X2
    | X3 != X4
    | X5 != vabs(X6,X7,X8)
    | X9 != vsubst(X1,X3,X5) ),
    inference(split_conjunct,[status(thm)],[i_0_111]),
    [final] ).

cnf(i_0_452,plain,
    ( esk3_3(X1,X2,X3) = esk4_3(X1,X2,X3)
    | X1 = esk1_3(X1,X2,X3)
    | esk8_3(X1,X2,X3) != esk7_3(X1,X2,X3)
    | vlookup(X1,X2) != X3 ),
    inference(split_conjunct,[status(thm)],[i_0_95]),
    [final] ).

cnf(i_0_453,plain,
    ( X2 = vnoExp
    | X1 = vapp(vabs(esk71_2(X1,X2),esk69_2(X1,X2),esk73_2(X1,X2)),esk72_2(X1,X2))
    | visSomeExp(esk68_2(X1,X2))
    | ~ epred3_2(X2,X1) ),
    inference(cn,[status(thm)],[i_0_112]),
    [final] ).

cnf(i_0_454,plain,
    ( X2 = vnoExp
    | X1 = vapp(vabs(esk65_2(X1,X2),esk66_2(X1,X2),esk67_2(X1,X2)),esk64_2(X1,X2))
    | visValue(esk72_2(X1,X2))
    | ~ epred3_2(X2,X1) ),
    inference(cn,[status(thm)],[i_0_113]),
    [final] ).

cnf(i_0_455,plain,
    ( X1 = vsomeExp(vsubst(esk71_2(X2,X1),esk72_2(X2,X1),esk73_2(X2,X1)))
    | visSomeExp(esk68_2(X2,X1))
    | X1 = vnoExp
    | X2 = vvar(esk60_2(X2,X1))
    | ~ epred3_2(X1,X2) ),
    inference(split_conjunct,[status(thm)],[i_0_68]),
    [final] ).

cnf(i_0_456,plain,
    ( X8 = vapp(vsubst(X2,X4,X6),vsubst(X2,X4,X7))
    | X1 != X2
    | X3 != X4
    | X5 != vapp(X6,X7)
    | X8 != vsubst(X1,X3,X5) ),
    inference(split_conjunct,[status(thm)],[i_0_114]),
    [final] ).

cnf(i_0_457,plain,
    ( X1 = vnoExp
    | esk68_2(X2,X1) = vreduce(esk64_2(X2,X1))
    | X1 = vsomeExp(vsubst(esk71_2(X2,X1),esk72_2(X2,X1),esk73_2(X2,X1)))
    | ~ epred3_2(X1,X2) ),
    inference(cn,[status(thm)],[i_0_115]),
    [final] ).

cnf(i_0_458,plain,
    ( visSomeExp(X6)
    | X7 = vsomeExp(vsubst(X2,X5,X4))
    | X1 != vapp(vabs(X2,X3,X4),X5)
    | X6 != vreduce(X5)
    | ~ visValue(X5)
    | X7 != vreduce(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_116]),
    [final] ).

cnf(i_0_459,plain,
    ( visFreeVar(X1,X2)
    | vtcheck(X4,X2,X5)
    | ~ vtcheck(vbind(X1,X3,X4),X2,X5) ),
    inference(split_conjunct,[status(thm)],[i_0_117]),
    [final] ).

cnf(i_0_460,plain,
    ( X1 = vnoExp
    | X1 = vsomeExp(vsubst(esk71_2(X2,X1),esk72_2(X2,X1),esk73_2(X2,X1)))
    | visSomeExp(esk68_2(X2,X1))
    | ~ epred3_2(X1,X2) ),
    inference(cn,[status(thm)],[i_0_118]),
    [final] ).

cnf(i_0_461,plain,
    ( X1 = vlookup(esk8_3(X2,X3,X1),esk9_3(X2,X3,X1))
    | X2 = esk3_3(X2,X3,X1)
    | X1 = vnoType
    | vlookup(X2,X3) != X1 ),
    inference(split_conjunct,[status(thm)],[i_0_95]),
    [final] ).

cnf(i_0_462,plain,
    ( X1 = vlookup(esk8_3(X2,X3,X1),esk9_3(X2,X3,X1))
    | X2 = esk3_3(X2,X3,X1)
    | X3 = vempty
    | vlookup(X2,X3) != X1 ),
    inference(split_conjunct,[status(thm)],[i_0_95]),
    [final] ).

cnf(i_0_463,plain,
    ( X3 = vsomeType(esk5_3(X1,X2,X3))
    | X2 = vempty
    | esk8_3(X1,X2,X3) != esk7_3(X1,X2,X3)
    | vlookup(X1,X2) != X3 ),
    inference(split_conjunct,[status(thm)],[i_0_95]),
    [final] ).

cnf(i_0_464,plain,
    ( X3 = vsomeType(esk5_3(X1,X2,X3))
    | X3 = vnoType
    | esk8_3(X1,X2,X3) != esk7_3(X1,X2,X3)
    | vlookup(X1,X2) != X3 ),
    inference(split_conjunct,[status(thm)],[i_0_95]),
    [final] ).

cnf(i_0_465,plain,
    ( X1 = esk3_3(X1,X2,X3)
    | X1 = esk1_3(X1,X2,X3)
    | esk8_3(X1,X2,X3) != esk7_3(X1,X2,X3)
    | vlookup(X1,X2) != X3 ),
    inference(split_conjunct,[status(thm)],[i_0_95]),
    [final] ).

cnf(i_0_466,plain,
    ( esk3_3(X1,X2,X3) = esk4_3(X1,X2,X3)
    | X2 = vempty
    | esk8_3(X1,X2,X3) != esk7_3(X1,X2,X3)
    | vlookup(X1,X2) != X3 ),
    inference(split_conjunct,[status(thm)],[i_0_95]),
    [final] ).

cnf(i_0_467,plain,
    ( esk3_3(X1,X2,X3) = esk4_3(X1,X2,X3)
    | X3 = vnoType
    | esk8_3(X1,X2,X3) != esk7_3(X1,X2,X3)
    | vlookup(X1,X2) != X3 ),
    inference(split_conjunct,[status(thm)],[i_0_95]),
    [final] ).

cnf(i_0_468,plain,
    ( vtcheck(X1,vapp(X2,X5),X4)
    | ~ vtcheck(X1,X2,varrow(X3,X4))
    | ~ vtcheck(X1,X5,X3) ),
    inference(split_conjunct,[status(thm)],[i_0_119]),
    [final] ).

cnf(i_0_469,plain,
    ( X1 = vsomeExp(vapp(vgetSomeExp(esk80_2(X2,X1)),esk81_2(X2,X1)))
    | epred3_2(X1,X2)
    | ~ visSomeExp(esk77_2(X2,X1))
    | ~ epred4_2(X1,X2) ),
    inference(split_conjunct,[status(thm)],[i_0_104]),
    [final] ).

cnf(i_0_470,plain,
    ( X1 = vsomeExp(vapp(vgetSomeExp(esk80_2(X2,X1)),esk81_2(X2,X1)))
    | epred3_2(X1,X2)
    | ~ visValue(esk78_2(X2,X1))
    | ~ epred4_2(X1,X2) ),
    inference(split_conjunct,[status(thm)],[i_0_104]),
    [final] ).

cnf(i_0_471,plain,
    ( X1 = vsomeExp(vapp(vgetSomeExp(esk80_2(X2,X1)),esk81_2(X2,X1)))
    | esk77_2(X2,X1) = vreduce(esk78_2(X2,X1))
    | epred3_2(X1,X2)
    | ~ epred4_2(X1,X2) ),
    inference(split_conjunct,[status(thm)],[i_0_104]),
    [final] ).

cnf(i_0_472,plain,
    ( esk68_2(X1,X2) = vreduce(esk64_2(X1,X2))
    | X1 = vabs(esk61_2(X1,X2),esk62_2(X1,X2),esk63_2(X1,X2))
    | X1 = vvar(esk60_2(X1,X2))
    | ~ visSomeExp(esk70_2(X1,X2))
    | ~ epred3_2(X2,X1) ),
    inference(split_conjunct,[status(thm)],[i_0_68]),
    [final] ).

cnf(i_0_473,plain,
    ( esk70_2(X1,X2) = vreduce(esk72_2(X1,X2))
    | esk68_2(X1,X2) = vreduce(esk64_2(X1,X2))
    | X1 = vabs(esk61_2(X1,X2),esk62_2(X1,X2),esk63_2(X1,X2))
    | X1 = vvar(esk60_2(X1,X2))
    | ~ epred3_2(X2,X1) ),
    inference(split_conjunct,[status(thm)],[i_0_68]),
    [final] ).

cnf(i_0_474,plain,
    ( vtcheck(vbind(X1,X5,X2),X3,X4)
    | vlookup(X1,X2) != vnoType
    | ~ vtcheck(X2,X3,X4) ),
    inference(split_conjunct,[status(thm)],[i_0_120]),
    [final] ).

cnf(i_0_475,plain,
    ( visSomeExp(esk68_2(X1,X2))
    | X1 = vabs(esk61_2(X1,X2),esk62_2(X1,X2),esk63_2(X1,X2))
    | X1 = vvar(esk60_2(X1,X2))
    | ~ visSomeExp(esk70_2(X1,X2))
    | ~ epred3_2(X2,X1) ),
    inference(split_conjunct,[status(thm)],[i_0_68]),
    [final] ).

cnf(i_0_476,plain,
    ( visFreeVar(X1,X2)
    | vtcheck(vbind(X1,X5,X3),X2,X4)
    | ~ vtcheck(X3,X2,X4) ),
    inference(split_conjunct,[status(thm)],[i_0_121]),
    [final] ).

cnf(i_0_477,plain,
    ( esk70_2(X1,X2) = vreduce(esk72_2(X1,X2))
    | visSomeExp(esk68_2(X1,X2))
    | X1 = vabs(esk61_2(X1,X2),esk62_2(X1,X2),esk63_2(X1,X2))
    | X1 = vvar(esk60_2(X1,X2))
    | ~ epred3_2(X2,X1) ),
    inference(split_conjunct,[status(thm)],[i_0_68]),
    [final] ).

cnf(i_0_478,plain,
    ( visValue(esk72_2(X1,X2))
    | esk68_2(X1,X2) = vreduce(esk64_2(X1,X2))
    | X1 = vabs(esk61_2(X1,X2),esk62_2(X1,X2),esk63_2(X1,X2))
    | X1 = vvar(esk60_2(X1,X2))
    | ~ epred3_2(X2,X1) ),
    inference(split_conjunct,[status(thm)],[i_0_68]),
    [final] ).

cnf(i_0_479,plain,
    ( X1 = esk3_3(X1,X2,X3)
    | X2 = vempty
    | esk8_3(X1,X2,X3) != esk7_3(X1,X2,X3)
    | vlookup(X1,X2) != X3 ),
    inference(split_conjunct,[status(thm)],[i_0_95]),
    [final] ).

cnf(i_0_480,plain,
    ( X1 = esk3_3(X1,X2,X3)
    | X3 = vnoType
    | esk8_3(X1,X2,X3) != esk7_3(X1,X2,X3)
    | vlookup(X1,X2) != X3 ),
    inference(split_conjunct,[status(thm)],[i_0_95]),
    [final] ).

cnf(i_0_481,plain,
    ( esk68_2(X1,X2) = vreduce(esk64_2(X1,X2))
    | X1 = vabs(esk61_2(X1,X2),esk62_2(X1,X2),esk63_2(X1,X2))
    | X2 = vnoExp
    | ~ visSomeExp(esk70_2(X1,X2))
    | ~ epred3_2(X2,X1) ),
    inference(split_conjunct,[status(thm)],[i_0_68]),
    [final] ).

cnf(i_0_482,negated_conjecture,
    vtcheck(vbind(esk34_0,esk32_0,esk33_0),vabs(esk36_0,esk37_0,veabs),esk38_0),
    inference(split_conjunct,[status(thm)],[i_0_103]),
    [final] ).

cnf(i_0_483,plain,
    ( visValue(esk72_2(X1,X2))
    | visSomeExp(esk68_2(X1,X2))
    | X1 = vabs(esk61_2(X1,X2),esk62_2(X1,X2),esk63_2(X1,X2))
    | X1 = vvar(esk60_2(X1,X2))
    | ~ epred3_2(X2,X1) ),
    inference(split_conjunct,[status(thm)],[i_0_68]),
    [final] ).

cnf(i_0_484,plain,
    ( X1 = esk8_3(X1,X2,X3)
    | X3 = vsomeType(esk5_3(X1,X2,X3))
    | X1 = esk1_3(X1,X2,X3)
    | vlookup(X1,X2) != X3 ),
    inference(split_conjunct,[status(thm)],[i_0_95]),
    [final] ).

cnf(i_0_485,plain,
    ( esk70_2(X1,X2) = vreduce(esk72_2(X1,X2))
    | esk68_2(X1,X2) = vreduce(esk64_2(X1,X2))
    | X1 = vabs(esk61_2(X1,X2),esk62_2(X1,X2),esk63_2(X1,X2))
    | X2 = vnoExp
    | ~ epred3_2(X2,X1) ),
    inference(split_conjunct,[status(thm)],[i_0_68]),
    [final] ).

cnf(i_0_486,plain,
    ( X1 = esk8_3(X1,X2,X3)
    | esk3_3(X1,X2,X3) = esk4_3(X1,X2,X3)
    | X1 = esk1_3(X1,X2,X3)
    | vlookup(X1,X2) != X3 ),
    inference(split_conjunct,[status(thm)],[i_0_95]),
    [final] ).

cnf(i_0_487,plain,
    ( X9 = vabs(X6,X7,X8)
    | X1 != X2
    | X3 != X4
    | X5 != vabs(X6,X7,X8)
    | X2 != X6
    | X9 != vsubst(X1,X3,X5) ),
    inference(split_conjunct,[status(thm)],[i_0_122]),
    [final] ).

cnf(i_0_488,plain,
    ( X1 = vsomeExp(vapp(vgetSomeExp(esk80_2(X2,X1)),esk81_2(X2,X1)))
    | X1 = vnoExp
    | epred3_2(X1,X2)
    | ~ epred4_2(X1,X2) ),
    inference(split_conjunct,[status(thm)],[i_0_104]),
    [final] ).

cnf(i_0_489,plain,
    ( visSomeExp(esk68_2(X1,X2))
    | X1 = vabs(esk61_2(X1,X2),esk62_2(X1,X2),esk63_2(X1,X2))
    | X2 = vnoExp
    | ~ visSomeExp(esk70_2(X1,X2))
    | ~ epred3_2(X2,X1) ),
    inference(split_conjunct,[status(thm)],[i_0_68]),
    [final] ).

cnf(i_0_490,plain,
    ( esk70_2(X1,X2) = vreduce(esk72_2(X1,X2))
    | visSomeExp(esk68_2(X1,X2))
    | X1 = vabs(esk61_2(X1,X2),esk62_2(X1,X2),esk63_2(X1,X2))
    | X2 = vnoExp
    | ~ epred3_2(X2,X1) ),
    inference(split_conjunct,[status(thm)],[i_0_68]),
    [final] ).

cnf(i_0_491,plain,
    ( visValue(esk72_2(X1,X2))
    | esk68_2(X1,X2) = vreduce(esk64_2(X1,X2))
    | X1 = vabs(esk61_2(X1,X2),esk62_2(X1,X2),esk63_2(X1,X2))
    | X2 = vnoExp
    | ~ epred3_2(X2,X1) ),
    inference(split_conjunct,[status(thm)],[i_0_68]),
    [final] ).

cnf(i_0_492,plain,
    ( visSomeExp(X6)
    | visValue(X5)
    | X7 = vnoExp
    | X1 != vapp(vabs(X2,X3,X4),X5)
    | X6 != vreduce(X5)
    | X7 != vreduce(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_123]),
    [final] ).

cnf(i_0_493,plain,
    ( visValue(esk72_2(X1,X2))
    | visSomeExp(esk68_2(X1,X2))
    | X1 = vabs(esk61_2(X1,X2),esk62_2(X1,X2),esk63_2(X1,X2))
    | X2 = vnoExp
    | ~ epred3_2(X2,X1) ),
    inference(split_conjunct,[status(thm)],[i_0_68]),
    [final] ).

cnf(i_0_494,plain,
    ( X1 = esk8_3(X1,X2,X3)
    | X3 = vsomeType(esk5_3(X1,X2,X3))
    | X2 = vempty
    | vlookup(X1,X2) != X3 ),
    inference(split_conjunct,[status(thm)],[i_0_95]),
    [final] ).

cnf(i_0_495,plain,
    ( X1 = esk8_3(X1,X2,X3)
    | X3 = vsomeType(esk5_3(X1,X2,X3))
    | X3 = vnoType
    | vlookup(X1,X2) != X3 ),
    inference(split_conjunct,[status(thm)],[i_0_95]),
    [final] ).

cnf(i_0_496,plain,
    ( epred3_2(X2,X1)
    | esk79_2(X1,X2) != vabs(X3,X4,X5)
    | ~ visSomeExp(esk77_2(X1,X2))
    | ~ epred4_2(X2,X1) ),
    inference(split_conjunct,[status(thm)],[i_0_104]),
    [final] ).

cnf(i_0_497,plain,
    ( epred3_2(X2,X1)
    | esk79_2(X1,X2) != vabs(X3,X4,X5)
    | ~ visValue(esk78_2(X1,X2))
    | ~ epred4_2(X2,X1) ),
    inference(split_conjunct,[status(thm)],[i_0_104]),
    [final] ).

cnf(i_0_498,plain,
    ( X1 = esk8_3(X1,X2,X3)
    | X1 = esk3_3(X1,X2,X3)
    | X1 = esk1_3(X1,X2,X3)
    | vlookup(X1,X2) != X3 ),
    inference(split_conjunct,[status(thm)],[i_0_95]),
    [final] ).

cnf(i_0_499,plain,
    ( X1 = esk8_3(X1,X2,X3)
    | esk3_3(X1,X2,X3) = esk4_3(X1,X2,X3)
    | X2 = vempty
    | vlookup(X1,X2) != X3 ),
    inference(split_conjunct,[status(thm)],[i_0_95]),
    [final] ).

cnf(i_0_500,plain,
    ( X1 = esk8_3(X1,X2,X3)
    | esk3_3(X1,X2,X3) = esk4_3(X1,X2,X3)
    | X3 = vnoType
    | vlookup(X1,X2) != X3 ),
    inference(split_conjunct,[status(thm)],[i_0_95]),
    [final] ).

cnf(i_0_501,plain,
    ( esk77_2(X1,X2) = vreduce(esk78_2(X1,X2))
    | epred3_2(X2,X1)
    | esk79_2(X1,X2) != vabs(X3,X4,X5)
    | ~ epred4_2(X2,X1) ),
    inference(split_conjunct,[status(thm)],[i_0_104]),
    [final] ).

cnf(i_0_502,plain,
    ( X1 = X2
    | vbind(X1,X3,X4) != vbind(X2,X5,X6) ),
    inference(split_conjunct,[status(thm)],[i_0_124]),
    [final] ).

cnf(i_0_503,plain,
    ( X1 = X2
    | vbind(X3,X1,X4) != vbind(X5,X2,X6) ),
    inference(split_conjunct,[status(thm)],[i_0_124]),
    [final] ).

cnf(i_0_504,plain,
    ( X1 = X2
    | vbind(X3,X4,X1) != vbind(X5,X6,X2) ),
    inference(split_conjunct,[status(thm)],[i_0_124]),
    [final] ).

cnf(i_0_505,plain,
    ( X1 = X2
    | vabs(X1,X3,X4) != vabs(X2,X5,X6) ),
    inference(split_conjunct,[status(thm)],[i_0_125]),
    [final] ).

cnf(i_0_506,plain,
    ( X1 = X2
    | vabs(X3,X1,X4) != vabs(X5,X2,X6) ),
    inference(split_conjunct,[status(thm)],[i_0_125]),
    [final] ).

cnf(i_0_507,plain,
    ( X1 = X2
    | vabs(X3,X4,X1) != vabs(X5,X6,X2) ),
    inference(split_conjunct,[status(thm)],[i_0_125]),
    [final] ).

cnf(i_0_508,plain,
    ( X1 = vapp(esk79_2(X1,X2),esk81_2(X1,X2))
    | epred3_2(X2,X1)
    | ~ visSomeExp(esk77_2(X1,X2))
    | ~ epred4_2(X2,X1) ),
    inference(split_conjunct,[status(thm)],[i_0_104]),
    [final] ).

cnf(i_0_509,plain,
    ( X1 = vapp(esk79_2(X1,X2),esk81_2(X1,X2))
    | epred3_2(X2,X1)
    | ~ visValue(esk78_2(X1,X2))
    | ~ epred4_2(X2,X1) ),
    inference(split_conjunct,[status(thm)],[i_0_104]),
    [final] ).

cnf(i_0_510,plain,
    ( X1 = vapp(esk79_2(X1,X2),esk81_2(X1,X2))
    | esk77_2(X1,X2) = vreduce(esk78_2(X1,X2))
    | epred3_2(X2,X1)
    | ~ epred4_2(X2,X1) ),
    inference(split_conjunct,[status(thm)],[i_0_104]),
    [final] ).

cnf(i_0_511,plain,
    ( esk68_2(X1,X2) = vreduce(esk64_2(X1,X2))
    | X2 = vnoExp
    | X1 = vvar(esk60_2(X1,X2))
    | ~ visSomeExp(esk70_2(X1,X2))
    | ~ epred3_2(X2,X1) ),
    inference(split_conjunct,[status(thm)],[i_0_68]),
    [final] ).

cnf(i_0_512,plain,
    ( X2 = vnoExp
    | epred3_2(X2,X1)
    | esk79_2(X1,X2) != vabs(X3,X4,X5)
    | ~ epred4_2(X2,X1) ),
    inference(split_conjunct,[status(thm)],[i_0_104]),
    [final] ).

cnf(i_0_513,plain,
    ( esk70_2(X1,X2) = vreduce(esk72_2(X1,X2))
    | esk68_2(X1,X2) = vreduce(esk64_2(X1,X2))
    | X2 = vnoExp
    | X1 = vvar(esk60_2(X1,X2))
    | ~ epred3_2(X2,X1) ),
    inference(split_conjunct,[status(thm)],[i_0_68]),
    [final] ).

cnf(i_0_514,plain,
    ( X1 = esk8_3(X1,X2,X3)
    | X1 = esk3_3(X1,X2,X3)
    | X2 = vempty
    | vlookup(X1,X2) != X3 ),
    inference(split_conjunct,[status(thm)],[i_0_95]),
    [final] ).

cnf(i_0_515,plain,
    ( X1 = esk8_3(X1,X2,X3)
    | X1 = esk3_3(X1,X2,X3)
    | X3 = vnoType
    | vlookup(X1,X2) != X3 ),
    inference(split_conjunct,[status(thm)],[i_0_95]),
    [final] ).

cnf(i_0_516,plain,
    ( visSomeExp(esk68_2(X1,X2))
    | X2 = vnoExp
    | X1 = vvar(esk60_2(X1,X2))
    | ~ visSomeExp(esk70_2(X1,X2))
    | ~ epred3_2(X2,X1) ),
    inference(split_conjunct,[status(thm)],[i_0_68]),
    [final] ).

cnf(i_0_517,plain,
    ( X2 = X4
    | X7 = vlookup(X2,X6)
    | X1 != X2
    | X3 != vbind(X4,X5,X6)
    | X7 != vlookup(X1,X3) ),
    inference(split_conjunct,[status(thm)],[i_0_126]),
    [final] ).

cnf(i_0_518,plain,
    ( epred4_2(X2,X1)
    | esk22_2(X1,X2) != vabs(X3,X4,X5)
    | vreduce(X1) != X2 ),
    inference(split_conjunct,[status(thm)],[i_0_127]),
    [final] ).

cnf(i_0_519,plain,
    ( X1 = X2
    | visFreeVar(X4,X5)
    | ~ visFreeVar(X2,X3)
    | X4 != X2
    | X5 != vabs(X1,X6,X3) ),
    inference(split_conjunct,[status(thm)],[i_0_128]),
    [final] ).

cnf(i_0_520,plain,
    ( esk70_2(X1,X2) = vreduce(esk72_2(X1,X2))
    | visSomeExp(esk68_2(X1,X2))
    | X2 = vnoExp
    | X1 = vvar(esk60_2(X1,X2))
    | ~ epred3_2(X2,X1) ),
    inference(split_conjunct,[status(thm)],[i_0_68]),
    [final] ).

cnf(i_0_521,plain,
    ( visValue(esk72_2(X1,X2))
    | esk68_2(X1,X2) = vreduce(esk64_2(X1,X2))
    | X2 = vnoExp
    | X1 = vvar(esk60_2(X1,X2))
    | ~ epred3_2(X2,X1) ),
    inference(split_conjunct,[status(thm)],[i_0_68]),
    [final] ).

cnf(i_0_522,plain,
    ( esk80_2(X1,X2) = vreduce(esk79_2(X1,X2))
    | epred3_2(X2,X1)
    | ~ visSomeExp(esk77_2(X1,X2))
    | ~ epred4_2(X2,X1) ),
    inference(split_conjunct,[status(thm)],[i_0_104]),
    [final] ).

cnf(i_0_523,plain,
    ( esk80_2(X1,X2) = vreduce(esk79_2(X1,X2))
    | epred3_2(X2,X1)
    | ~ visValue(esk78_2(X1,X2))
    | ~ epred4_2(X2,X1) ),
    inference(split_conjunct,[status(thm)],[i_0_104]),
    [final] ).

cnf(i_0_524,plain,
    ( visFreeVar(X1,X2)
    | ~ visFreeVar(X3,X4)
    | X3 != X1
    | X4 != vabs(X5,X6,X2) ),
    inference(split_conjunct,[status(thm)],[i_0_128]),
    [final] ).

cnf(i_0_525,plain,
    ( esk80_2(X1,X2) = vreduce(esk79_2(X1,X2))
    | esk77_2(X1,X2) = vreduce(esk78_2(X1,X2))
    | epred3_2(X2,X1)
    | ~ epred4_2(X2,X1) ),
    inference(split_conjunct,[status(thm)],[i_0_104]),
    [final] ).

cnf(i_0_526,plain,
    ( X7 = vsomeType(X5)
    | X1 != X2
    | X3 != vbind(X4,X5,X6)
    | X2 != X4
    | X7 != vlookup(X1,X3) ),
    inference(split_conjunct,[status(thm)],[i_0_129]),
    [final] ).

cnf(i_0_527,plain,
    ( X1 != X2
    | ~ visFreeVar(X3,X4)
    | X3 != X2
    | X4 != vabs(X1,X5,X6) ),
    inference(split_conjunct,[status(thm)],[i_0_128]),
    [final] ).

cnf(i_0_528,plain,
    ( visValue(esk72_2(X1,X2))
    | visSomeExp(esk68_2(X1,X2))
    | X2 = vnoExp
    | X1 = vvar(esk60_2(X1,X2))
    | ~ epred3_2(X2,X1) ),
    inference(split_conjunct,[status(thm)],[i_0_68]),
    [final] ).

cnf(i_0_529,plain,
    ( X2 = vnoExp
    | esk68_2(X1,X2) = vreduce(esk64_2(X1,X2))
    | ~ epred3_2(X2,X1)
    | ~ visSomeExp(esk70_2(X1,X2)) ),
    inference(cn,[status(thm)],[i_0_130]),
    [final] ).

cnf(i_0_530,plain,
    ( visSomeExp(esk80_2(X1,X2))
    | epred3_2(X2,X1)
    | ~ visSomeExp(esk77_2(X1,X2))
    | ~ epred4_2(X2,X1) ),
    inference(split_conjunct,[status(thm)],[i_0_104]),
    [final] ).

cnf(i_0_531,plain,
    ( visSomeExp(esk80_2(X1,X2))
    | epred3_2(X2,X1)
    | ~ visValue(esk78_2(X1,X2))
    | ~ epred4_2(X2,X1) ),
    inference(split_conjunct,[status(thm)],[i_0_104]),
    [final] ).

cnf(i_0_532,plain,
    ( X2 = vnoExp
    | esk68_2(X1,X2) = vreduce(esk64_2(X1,X2))
    | esk70_2(X1,X2) = vreduce(esk72_2(X1,X2))
    | ~ epred3_2(X2,X1) ),
    inference(cn,[status(thm)],[i_0_131]),
    [final] ).

cnf(i_0_533,plain,
    ( visSomeExp(esk80_2(X1,X2))
    | esk77_2(X1,X2) = vreduce(esk78_2(X1,X2))
    | epred3_2(X2,X1)
    | ~ epred4_2(X2,X1) ),
    inference(split_conjunct,[status(thm)],[i_0_104]),
    [final] ).

cnf(i_0_534,plain,
    ( X2 = X6
    | X7 = vvar(X6)
    | X1 != X2
    | X3 != X4
    | X5 != vvar(X6)
    | X7 != vsubst(X1,X3,X5) ),
    inference(split_conjunct,[status(thm)],[i_0_132]),
    [final] ).

cnf(i_0_535,plain,
    ( X7 = X4
    | X1 != X2
    | X3 != X4
    | X5 != vvar(X6)
    | X2 != X6
    | X7 != vsubst(X1,X3,X5) ),
    inference(split_conjunct,[status(thm)],[i_0_133]),
    [final] ).

cnf(i_0_536,plain,
    vabs(X1,X2,X3) != vapp(X4,X5),
    inference(split_conjunct,[status(thm)],[i_0_134]),
    [final] ).

cnf(i_0_537,plain,
    ( X1 = vapp(esk79_2(X1,X2),esk81_2(X1,X2))
    | X2 = vnoExp
    | epred3_2(X2,X1)
    | ~ epred4_2(X2,X1) ),
    inference(split_conjunct,[status(thm)],[i_0_104]),
    [final] ).

cnf(i_0_538,plain,
    ( X2 = vnoExp
    | visSomeExp(esk68_2(X1,X2))
    | ~ epred3_2(X2,X1)
    | ~ visSomeExp(esk70_2(X1,X2)) ),
    inference(cn,[status(thm)],[i_0_135]),
    [final] ).

cnf(i_0_539,plain,
    ( X2 = vnoExp
    | esk70_2(X1,X2) = vreduce(esk72_2(X1,X2))
    | visSomeExp(esk68_2(X1,X2))
    | ~ epred3_2(X2,X1) ),
    inference(cn,[status(thm)],[i_0_136]),
    [final] ).

cnf(i_0_540,plain,
    ( X2 = vnoExp
    | esk68_2(X1,X2) = vreduce(esk64_2(X1,X2))
    | visValue(esk72_2(X1,X2))
    | ~ epred3_2(X2,X1) ),
    inference(cn,[status(thm)],[i_0_137]),
    [final] ).

cnf(i_0_541,plain,
    ( X5 = vnoExp
    | X1 != vabs(X2,X3,X4)
    | X5 != vreduce(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_138]),
    [final] ).

cnf(i_0_542,plain,
    vvar(X1) != vabs(X2,X3,X4),
    inference(split_conjunct,[status(thm)],[i_0_139]),
    [final] ).

cnf(i_0_543,plain,
    ( visValue(X1)
    | X1 != vabs(X2,X3,X4) ),
    inference(split_conjunct,[status(thm)],[i_0_140]),
    [final] ).

cnf(i_0_544,plain,
    ( X1 = vapp(esk22_2(X1,X2),esk21_2(X1,X2))
    | epred4_2(X2,X1)
    | vreduce(X1) != X2 ),
    inference(split_conjunct,[status(thm)],[i_0_127]),
    [final] ).

cnf(i_0_545,plain,
    ( vtcheck(X2,vvar(X1),X3)
    | vlookup(X1,X2) != vsomeType(X3) ),
    inference(split_conjunct,[status(thm)],[i_0_141]),
    [final] ).

cnf(i_0_546,plain,
    vempty != vbind(X1,X2,X3),
    inference(split_conjunct,[status(thm)],[i_0_142]),
    [final] ).

cnf(i_0_547,plain,
    ( X2 = vnoExp
    | visValue(esk72_2(X1,X2))
    | visSomeExp(esk68_2(X1,X2))
    | ~ epred3_2(X2,X1) ),
    inference(cn,[status(thm)],[i_0_143]),
    [final] ).

cnf(i_0_548,plain,
    ( esk80_2(X1,X2) = vreduce(esk79_2(X1,X2))
    | X2 = vnoExp
    | epred3_2(X2,X1)
    | ~ epred4_2(X2,X1) ),
    inference(split_conjunct,[status(thm)],[i_0_104]),
    [final] ).

cnf(i_0_549,plain,
    ( visFreeVar(X3,X4)
    | visFreeVar(X3,X5)
    | ~ visFreeVar(X1,X2)
    | X1 != X3
    | X2 != vapp(X4,X5) ),
    inference(split_conjunct,[status(thm)],[i_0_144]),
    [final] ).

cnf(i_0_550,plain,
    ( epred4_2(X2,X1)
    | ~ visSomeExp(esk23_2(X1,X2))
    | vreduce(X1) != X2 ),
    inference(split_conjunct,[status(thm)],[i_0_127]),
    [final] ).

cnf(i_0_551,plain,
    ( visSomeExp(esk80_2(X1,X2))
    | X2 = vnoExp
    | epred3_2(X2,X1)
    | ~ epred4_2(X2,X1) ),
    inference(split_conjunct,[status(thm)],[i_0_104]),
    [final] ).

cnf(i_0_552,plain,
    ( esk23_2(X1,X2) = vreduce(esk22_2(X1,X2))
    | epred4_2(X2,X1)
    | vreduce(X1) != X2 ),
    inference(split_conjunct,[status(thm)],[i_0_127]),
    [final] ).

cnf(i_0_553,plain,
    ( visFreeVar(X3,X4)
    | ~ visFreeVar(X1,X2)
    | X3 != X1
    | X4 != vapp(X2,X5) ),
    inference(split_conjunct,[status(thm)],[i_0_144]),
    [final] ).

cnf(i_0_554,plain,
    ( visFreeVar(X3,X4)
    | ~ visFreeVar(X1,X2)
    | X3 != X1
    | X4 != vapp(X5,X2) ),
    inference(split_conjunct,[status(thm)],[i_0_144]),
    [final] ).

cnf(i_0_555,negated_conjecture,
    vtcheck(esk33_0,esk35_0,esk32_0),
    inference(split_conjunct,[status(thm)],[i_0_103]),
    [final] ).

cnf(i_0_556,plain,
    ( X1 = X2
    | varrow(X1,X3) != varrow(X2,X4) ),
    inference(split_conjunct,[status(thm)],[i_0_145]),
    [final] ).

cnf(i_0_557,plain,
    ( X1 = X2
    | varrow(X3,X1) != varrow(X4,X2) ),
    inference(split_conjunct,[status(thm)],[i_0_145]),
    [final] ).

cnf(i_0_558,plain,
    ( X1 = X2
    | vapp(X1,X3) != vapp(X2,X4) ),
    inference(split_conjunct,[status(thm)],[i_0_146]),
    [final] ).

cnf(i_0_559,plain,
    ( X1 = X2
    | vapp(X3,X1) != vapp(X4,X2) ),
    inference(split_conjunct,[status(thm)],[i_0_146]),
    [final] ).

cnf(i_0_560,plain,
    ( X3 = X4
    | ~ visFreeVar(X1,X2)
    | X1 != X4
    | X2 != vvar(X3) ),
    inference(split_conjunct,[status(thm)],[i_0_147]),
    [final] ).

cnf(i_0_561,plain,
    ( X4 = vnoType
    | X1 != X2
    | X3 != vempty
    | X4 != vlookup(X1,X3) ),
    inference(split_conjunct,[status(thm)],[i_0_148]),
    [final] ).

cnf(i_0_562,plain,
    ( X1 != vapp(X2,X3)
    | ~ visValue(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_149]),
    [final] ).

cnf(i_0_563,plain,
    ( vgensym(X1) != X2
    | ~ visFreeVar(X2,X1) ),
    inference(split_conjunct,[status(thm)],[i_0_150]),
    [final] ).

cnf(i_0_564,plain,
    ( visFreeVar(X3,X4)
    | X1 != X2
    | X3 != X2
    | X4 != vvar(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_147]),
    [final] ).

cnf(i_0_565,plain,
    vvar(X1) != vapp(X2,X3),
    inference(split_conjunct,[status(thm)],[i_0_151]),
    [final] ).

cnf(i_0_566,plain,
    ( X1 = vnoExp
    | epred4_2(X1,X2)
    | vreduce(X2) != X1 ),
    inference(split_conjunct,[status(thm)],[i_0_127]),
    [final] ).

cnf(i_0_567,plain,
    ( X3 = X2
    | X1 != vsomeExp(X2)
    | X3 != vgetSomeExp(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_152]),
    [final] ).

cnf(i_0_568,plain,
    ( X3 = X2
    | X1 != vsomeType(X2)
    | X3 != vgetSomeType(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_153]),
    [final] ).

cnf(i_0_569,plain,
    ( X3 = vnoExp
    | X1 != vvar(X2)
    | X3 != vreduce(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_154]),
    [final] ).

cnf(i_0_570,plain,
    ( X1 != vvar(X2)
    | ~ visValue(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_155]),
    [final] ).

cnf(i_0_571,plain,
    ( X1 = X2
    | vsomeExp(X1) != vsomeExp(X2) ),
    inference(split_conjunct,[status(thm)],[i_0_156]),
    [final] ).

cnf(i_0_572,plain,
    ( X1 = X2
    | vsomeType(X1) != vsomeType(X2) ),
    inference(split_conjunct,[status(thm)],[i_0_157]),
    [final] ).

cnf(i_0_573,plain,
    ( X1 = X2
    | vvar(X1) != vvar(X2) ),
    inference(split_conjunct,[status(thm)],[i_0_158]),
    [final] ).

cnf(i_0_574,plain,
    ( visSomeExp(X1)
    | X1 != vsomeExp(X2) ),
    inference(split_conjunct,[status(thm)],[i_0_159]),
    [final] ).

cnf(i_0_575,plain,
    ( visSomeType(X1)
    | X1 != vsomeType(X2) ),
    inference(split_conjunct,[status(thm)],[i_0_160]),
    [final] ).

cnf(i_0_576,plain,
    ( X1 != vnoExp
    | ~ visSomeExp(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_161]),
    [final] ).

cnf(i_0_577,plain,
    ( X1 != vnoType
    | ~ visSomeType(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_162]),
    [final] ).

cnf(i_0_578,plain,
    vnoExp != vsomeExp(X1),
    inference(split_conjunct,[status(thm)],[i_0_163]),
    [final] ).

cnf(i_0_579,plain,
    vnoType != vsomeType(X1),
    inference(split_conjunct,[status(thm)],[i_0_164]),
    [final] ).

cnf(i_0_580,axiom,
    X1 = X1 ).

cnf(i_0_581,axiom,
    ( X1 = X2
    | X2 != X1 ) ).

cnf(i_0_582,axiom,
    ( X1 = X2
    | X1 != X3
    | X3 != X2 ) ).

cnf(i_0_583,axiom,
    ( X1 != X2
    | vsubst(X1,X3,X4) = vsubst(X2,X3,X4) ) ).

cnf(i_0_584,axiom,
    ( X1 != X2
    | vsubst(X3,X1,X4) = vsubst(X3,X2,X4) ) ).

cnf(i_0_585,axiom,
    ( X1 != X2
    | vsubst(X3,X4,X1) = vsubst(X3,X4,X2) ) ).

cnf(i_0_586,axiom,
    ( X1 != X2
    | esk51_4(X1,X3,X4,X5) = esk51_4(X2,X3,X4,X5) ) ).

cnf(i_0_587,axiom,
    ( X1 != X2
    | esk51_4(X3,X1,X4,X5) = esk51_4(X3,X2,X4,X5) ) ).

cnf(i_0_588,axiom,
    ( X1 != X2
    | esk51_4(X3,X4,X1,X5) = esk51_4(X3,X4,X2,X5) ) ).

cnf(i_0_589,axiom,
    ( X1 != X2
    | esk51_4(X3,X4,X5,X1) = esk51_4(X3,X4,X5,X2) ) ).

cnf(i_0_590,axiom,
    ( X1 != X2
    | vapp(X1,X3) = vapp(X2,X3) ) ).

cnf(i_0_591,axiom,
    ( X1 != X2
    | vapp(X3,X1) = vapp(X3,X2) ) ).

cnf(i_0_592,axiom,
    ( X1 != X2
    | esk46_4(X1,X3,X4,X5) = esk46_4(X2,X3,X4,X5) ) ).

cnf(i_0_593,axiom,
    ( X1 != X2
    | esk46_4(X3,X1,X4,X5) = esk46_4(X3,X2,X4,X5) ) ).

cnf(i_0_594,axiom,
    ( X1 != X2
    | esk46_4(X3,X4,X1,X5) = esk46_4(X3,X4,X2,X5) ) ).

cnf(i_0_595,axiom,
    ( X1 != X2
    | esk46_4(X3,X4,X5,X1) = esk46_4(X3,X4,X5,X2) ) ).

cnf(i_0_596,axiom,
    ( X1 != X2
    | esk47_4(X1,X3,X4,X5) = esk47_4(X2,X3,X4,X5) ) ).

cnf(i_0_597,axiom,
    ( X1 != X2
    | esk47_4(X3,X1,X4,X5) = esk47_4(X3,X2,X4,X5) ) ).

cnf(i_0_598,axiom,
    ( X1 != X2
    | esk47_4(X3,X4,X1,X5) = esk47_4(X3,X4,X2,X5) ) ).

cnf(i_0_599,axiom,
    ( X1 != X2
    | esk47_4(X3,X4,X5,X1) = esk47_4(X3,X4,X5,X2) ) ).

cnf(i_0_600,axiom,
    ( X1 != X2
    | esk50_4(X1,X3,X4,X5) = esk50_4(X2,X3,X4,X5) ) ).

cnf(i_0_601,axiom,
    ( X1 != X2
    | esk50_4(X3,X1,X4,X5) = esk50_4(X3,X2,X4,X5) ) ).

cnf(i_0_602,axiom,
    ( X1 != X2
    | esk50_4(X3,X4,X1,X5) = esk50_4(X3,X4,X2,X5) ) ).

cnf(i_0_603,axiom,
    ( X1 != X2
    | esk50_4(X3,X4,X5,X1) = esk50_4(X3,X4,X5,X2) ) ).

cnf(i_0_604,axiom,
    ( X1 != X2
    | esk49_4(X1,X3,X4,X5) = esk49_4(X2,X3,X4,X5) ) ).

cnf(i_0_605,axiom,
    ( X1 != X2
    | esk49_4(X3,X1,X4,X5) = esk49_4(X3,X2,X4,X5) ) ).

cnf(i_0_606,axiom,
    ( X1 != X2
    | esk49_4(X3,X4,X1,X5) = esk49_4(X3,X4,X2,X5) ) ).

cnf(i_0_607,axiom,
    ( X1 != X2
    | esk49_4(X3,X4,X5,X1) = esk49_4(X3,X4,X5,X2) ) ).

cnf(i_0_608,axiom,
    ( X1 != X2
    | esk54_4(X1,X3,X4,X5) = esk54_4(X2,X3,X4,X5) ) ).

cnf(i_0_609,axiom,
    ( X1 != X2
    | esk54_4(X3,X1,X4,X5) = esk54_4(X3,X2,X4,X5) ) ).

cnf(i_0_610,axiom,
    ( X1 != X2
    | esk54_4(X3,X4,X1,X5) = esk54_4(X3,X4,X2,X5) ) ).

cnf(i_0_611,axiom,
    ( X1 != X2
    | esk54_4(X3,X4,X5,X1) = esk54_4(X3,X4,X5,X2) ) ).

cnf(i_0_612,axiom,
    ( X1 != X2
    | vgensym(X1) = vgensym(X2) ) ).

cnf(i_0_613,axiom,
    ( X1 != X2
    | vsomeExp(X1) = vsomeExp(X2) ) ).

cnf(i_0_614,axiom,
    ( X1 != X2
    | vgetSomeExp(X1) = vgetSomeExp(X2) ) ).

cnf(i_0_615,axiom,
    ( X1 != X2
    | vreduce(X1) = vreduce(X2) ) ).

cnf(i_0_616,axiom,
    ( X1 != X2
    | esk10_4(X1,X3,X4,X5) = esk10_4(X2,X3,X4,X5) ) ).

cnf(i_0_617,axiom,
    ( X1 != X2
    | esk10_4(X3,X1,X4,X5) = esk10_4(X3,X2,X4,X5) ) ).

cnf(i_0_618,axiom,
    ( X1 != X2
    | esk10_4(X3,X4,X1,X5) = esk10_4(X3,X4,X2,X5) ) ).

cnf(i_0_619,axiom,
    ( X1 != X2
    | esk10_4(X3,X4,X5,X1) = esk10_4(X3,X4,X5,X2) ) ).

cnf(i_0_620,axiom,
    ( X1 != X2
    | esk12_4(X1,X3,X4,X5) = esk12_4(X2,X3,X4,X5) ) ).

cnf(i_0_621,axiom,
    ( X1 != X2
    | esk12_4(X3,X1,X4,X5) = esk12_4(X3,X2,X4,X5) ) ).

cnf(i_0_622,axiom,
    ( X1 != X2
    | esk12_4(X3,X4,X1,X5) = esk12_4(X3,X4,X2,X5) ) ).

cnf(i_0_623,axiom,
    ( X1 != X2
    | esk12_4(X3,X4,X5,X1) = esk12_4(X3,X4,X5,X2) ) ).

cnf(i_0_624,axiom,
    ( X1 != X2
    | esk55_4(X1,X3,X4,X5) = esk55_4(X2,X3,X4,X5) ) ).

cnf(i_0_625,axiom,
    ( X1 != X2
    | esk55_4(X3,X1,X4,X5) = esk55_4(X3,X2,X4,X5) ) ).

cnf(i_0_626,axiom,
    ( X1 != X2
    | esk55_4(X3,X4,X1,X5) = esk55_4(X3,X4,X2,X5) ) ).

cnf(i_0_627,axiom,
    ( X1 != X2
    | esk55_4(X3,X4,X5,X1) = esk55_4(X3,X4,X5,X2) ) ).

cnf(i_0_628,axiom,
    ( X1 != X2
    | esk13_4(X1,X3,X4,X5) = esk13_4(X2,X3,X4,X5) ) ).

cnf(i_0_629,axiom,
    ( X1 != X2
    | esk13_4(X3,X1,X4,X5) = esk13_4(X3,X2,X4,X5) ) ).

cnf(i_0_630,axiom,
    ( X1 != X2
    | esk13_4(X3,X4,X1,X5) = esk13_4(X3,X4,X2,X5) ) ).

cnf(i_0_631,axiom,
    ( X1 != X2
    | esk13_4(X3,X4,X5,X1) = esk13_4(X3,X4,X5,X2) ) ).

cnf(i_0_632,axiom,
    ( X1 != X2
    | esk40_4(X1,X3,X4,X5) = esk40_4(X2,X3,X4,X5) ) ).

cnf(i_0_633,axiom,
    ( X1 != X2
    | esk40_4(X3,X1,X4,X5) = esk40_4(X3,X2,X4,X5) ) ).

cnf(i_0_634,axiom,
    ( X1 != X2
    | esk40_4(X3,X4,X1,X5) = esk40_4(X3,X4,X2,X5) ) ).

cnf(i_0_635,axiom,
    ( X1 != X2
    | esk40_4(X3,X4,X5,X1) = esk40_4(X3,X4,X5,X2) ) ).

cnf(i_0_636,axiom,
    ( X1 != X2
    | esk43_4(X1,X3,X4,X5) = esk43_4(X2,X3,X4,X5) ) ).

cnf(i_0_637,axiom,
    ( X1 != X2
    | esk43_4(X3,X1,X4,X5) = esk43_4(X3,X2,X4,X5) ) ).

cnf(i_0_638,axiom,
    ( X1 != X2
    | esk43_4(X3,X4,X1,X5) = esk43_4(X3,X4,X2,X5) ) ).

cnf(i_0_639,axiom,
    ( X1 != X2
    | esk43_4(X3,X4,X5,X1) = esk43_4(X3,X4,X5,X2) ) ).

cnf(i_0_640,axiom,
    ( X1 != X2
    | esk44_4(X1,X3,X4,X5) = esk44_4(X2,X3,X4,X5) ) ).

cnf(i_0_641,axiom,
    ( X1 != X2
    | esk44_4(X3,X1,X4,X5) = esk44_4(X3,X2,X4,X5) ) ).

cnf(i_0_642,axiom,
    ( X1 != X2
    | esk44_4(X3,X4,X1,X5) = esk44_4(X3,X4,X2,X5) ) ).

cnf(i_0_643,axiom,
    ( X1 != X2
    | esk44_4(X3,X4,X5,X1) = esk44_4(X3,X4,X5,X2) ) ).

cnf(i_0_644,axiom,
    ( X1 != X2
    | esk39_4(X1,X3,X4,X5) = esk39_4(X2,X3,X4,X5) ) ).

cnf(i_0_645,axiom,
    ( X1 != X2
    | esk39_4(X3,X1,X4,X5) = esk39_4(X3,X2,X4,X5) ) ).

cnf(i_0_646,axiom,
    ( X1 != X2
    | esk39_4(X3,X4,X1,X5) = esk39_4(X3,X4,X2,X5) ) ).

cnf(i_0_647,axiom,
    ( X1 != X2
    | esk39_4(X3,X4,X5,X1) = esk39_4(X3,X4,X5,X2) ) ).

cnf(i_0_648,axiom,
    ( X1 != X2
    | esk41_4(X1,X3,X4,X5) = esk41_4(X2,X3,X4,X5) ) ).

cnf(i_0_649,axiom,
    ( X1 != X2
    | esk41_4(X3,X1,X4,X5) = esk41_4(X3,X2,X4,X5) ) ).

cnf(i_0_650,axiom,
    ( X1 != X2
    | esk41_4(X3,X4,X1,X5) = esk41_4(X3,X4,X2,X5) ) ).

cnf(i_0_651,axiom,
    ( X1 != X2
    | esk41_4(X3,X4,X5,X1) = esk41_4(X3,X4,X5,X2) ) ).

cnf(i_0_652,axiom,
    ( X1 != X2
    | vabs(X1,X3,X4) = vabs(X2,X3,X4) ) ).

cnf(i_0_653,axiom,
    ( X1 != X2
    | vabs(X3,X1,X4) = vabs(X3,X2,X4) ) ).

cnf(i_0_654,axiom,
    ( X1 != X2
    | vabs(X3,X4,X1) = vabs(X3,X4,X2) ) ).

cnf(i_0_655,axiom,
    ( X1 != X2
    | varrow(X1,X3) = varrow(X2,X3) ) ).

cnf(i_0_656,axiom,
    ( X1 != X2
    | varrow(X3,X1) = varrow(X3,X2) ) ).

cnf(i_0_657,axiom,
    ( X1 != X2
    | vbind(X1,X3,X4) = vbind(X2,X3,X4) ) ).

cnf(i_0_658,axiom,
    ( X1 != X2
    | vbind(X3,X1,X4) = vbind(X3,X2,X4) ) ).

cnf(i_0_659,axiom,
    ( X1 != X2
    | vbind(X3,X4,X1) = vbind(X3,X4,X2) ) ).

cnf(i_0_660,axiom,
    ( X1 != X2
    | vlookup(X1,X3) = vlookup(X2,X3) ) ).

cnf(i_0_661,axiom,
    ( X1 != X2
    | vlookup(X3,X1) = vlookup(X3,X2) ) ).

cnf(i_0_662,axiom,
    ( X1 != X2
    | esk58_4(X1,X3,X4,X5) = esk58_4(X2,X3,X4,X5) ) ).

cnf(i_0_663,axiom,
    ( X1 != X2
    | esk58_4(X3,X1,X4,X5) = esk58_4(X3,X2,X4,X5) ) ).

cnf(i_0_664,axiom,
    ( X1 != X2
    | esk58_4(X3,X4,X1,X5) = esk58_4(X3,X4,X2,X5) ) ).

cnf(i_0_665,axiom,
    ( X1 != X2
    | esk58_4(X3,X4,X5,X1) = esk58_4(X3,X4,X5,X2) ) ).

cnf(i_0_666,axiom,
    ( X1 != X2
    | vsomeType(X1) = vsomeType(X2) ) ).

cnf(i_0_667,axiom,
    ( X1 != X2
    | esk68_2(X1,X3) = esk68_2(X2,X3) ) ).

cnf(i_0_668,axiom,
    ( X1 != X2
    | esk68_2(X3,X1) = esk68_2(X3,X2) ) ).

cnf(i_0_669,axiom,
    ( X1 != X2
    | esk42_4(X1,X3,X4,X5) = esk42_4(X2,X3,X4,X5) ) ).

cnf(i_0_670,axiom,
    ( X1 != X2
    | esk42_4(X3,X1,X4,X5) = esk42_4(X3,X2,X4,X5) ) ).

cnf(i_0_671,axiom,
    ( X1 != X2
    | esk42_4(X3,X4,X1,X5) = esk42_4(X3,X4,X2,X5) ) ).

cnf(i_0_672,axiom,
    ( X1 != X2
    | esk42_4(X3,X4,X5,X1) = esk42_4(X3,X4,X5,X2) ) ).

cnf(i_0_673,axiom,
    ( X1 != X2
    | esk70_2(X1,X3) = esk70_2(X2,X3) ) ).

cnf(i_0_674,axiom,
    ( X1 != X2
    | esk70_2(X3,X1) = esk70_2(X3,X2) ) ).

cnf(i_0_675,axiom,
    ( X1 != X2
    | esk7_3(X1,X3,X4) = esk7_3(X2,X3,X4) ) ).

cnf(i_0_676,axiom,
    ( X1 != X2
    | esk7_3(X3,X1,X4) = esk7_3(X3,X2,X4) ) ).

cnf(i_0_677,axiom,
    ( X1 != X2
    | esk7_3(X3,X4,X1) = esk7_3(X3,X4,X2) ) ).

cnf(i_0_678,axiom,
    ( X1 != X2
    | esk4_3(X1,X3,X4) = esk4_3(X2,X3,X4) ) ).

cnf(i_0_679,axiom,
    ( X1 != X2
    | esk4_3(X3,X1,X4) = esk4_3(X3,X2,X4) ) ).

cnf(i_0_680,axiom,
    ( X1 != X2
    | esk4_3(X3,X4,X1) = esk4_3(X3,X4,X2) ) ).

cnf(i_0_681,axiom,
    ( X1 != X2
    | esk57_4(X1,X3,X4,X5) = esk57_4(X2,X3,X4,X5) ) ).

cnf(i_0_682,axiom,
    ( X1 != X2
    | esk57_4(X3,X1,X4,X5) = esk57_4(X3,X2,X4,X5) ) ).

cnf(i_0_683,axiom,
    ( X1 != X2
    | esk57_4(X3,X4,X1,X5) = esk57_4(X3,X4,X2,X5) ) ).

cnf(i_0_684,axiom,
    ( X1 != X2
    | esk57_4(X3,X4,X5,X1) = esk57_4(X3,X4,X5,X2) ) ).

cnf(i_0_685,axiom,
    ( X1 != X2
    | esk1_3(X1,X3,X4) = esk1_3(X2,X3,X4) ) ).

cnf(i_0_686,axiom,
    ( X1 != X2
    | esk1_3(X3,X1,X4) = esk1_3(X3,X2,X4) ) ).

cnf(i_0_687,axiom,
    ( X1 != X2
    | esk1_3(X3,X4,X1) = esk1_3(X3,X4,X2) ) ).

cnf(i_0_688,axiom,
    ( X1 != X2
    | esk8_3(X1,X3,X4) = esk8_3(X2,X3,X4) ) ).

cnf(i_0_689,axiom,
    ( X1 != X2
    | esk8_3(X3,X1,X4) = esk8_3(X3,X2,X4) ) ).

cnf(i_0_690,axiom,
    ( X1 != X2
    | esk8_3(X3,X4,X1) = esk8_3(X3,X4,X2) ) ).

cnf(i_0_691,axiom,
    ( X1 != X2
    | esk3_3(X1,X3,X4) = esk3_3(X2,X3,X4) ) ).

cnf(i_0_692,axiom,
    ( X1 != X2
    | esk3_3(X3,X1,X4) = esk3_3(X3,X2,X4) ) ).

cnf(i_0_693,axiom,
    ( X1 != X2
    | esk3_3(X3,X4,X1) = esk3_3(X3,X4,X2) ) ).

cnf(i_0_694,axiom,
    ( X1 != X2
    | esk80_2(X1,X3) = esk80_2(X2,X3) ) ).

cnf(i_0_695,axiom,
    ( X1 != X2
    | esk80_2(X3,X1) = esk80_2(X3,X2) ) ).

cnf(i_0_696,axiom,
    ( X1 != X2
    | vvar(X1) = vvar(X2) ) ).

cnf(i_0_697,axiom,
    ( X1 != X2
    | esk79_2(X1,X3) = esk79_2(X2,X3) ) ).

cnf(i_0_698,axiom,
    ( X1 != X2
    | esk79_2(X3,X1) = esk79_2(X3,X2) ) ).

cnf(i_0_699,axiom,
    ( X1 != X2
    | esk77_2(X1,X3) = esk77_2(X2,X3) ) ).

cnf(i_0_700,axiom,
    ( X1 != X2
    | esk77_2(X3,X1) = esk77_2(X3,X2) ) ).

cnf(i_0_701,axiom,
    ( X1 != X2
    | esk22_2(X1,X3) = esk22_2(X2,X3) ) ).

cnf(i_0_702,axiom,
    ( X1 != X2
    | esk22_2(X3,X1) = esk22_2(X3,X2) ) ).

cnf(i_0_703,axiom,
    ( X1 != X2
    | esk23_2(X1,X3) = esk23_2(X2,X3) ) ).

cnf(i_0_704,axiom,
    ( X1 != X2
    | esk23_2(X3,X1) = esk23_2(X3,X2) ) ).

cnf(i_0_705,axiom,
    ( X1 != X2
    | vgetSomeType(X1) = vgetSomeType(X2) ) ).

cnf(i_0_706,axiom,
    ( X1 != X2
    | ~ epred1_4(X1,X3,X4,X5)
    | epred1_4(X2,X3,X4,X5) ) ).

cnf(i_0_707,axiom,
    ( X1 != X2
    | ~ epred1_4(X3,X1,X4,X5)
    | epred1_4(X3,X2,X4,X5) ) ).

cnf(i_0_708,axiom,
    ( X1 != X2
    | ~ epred1_4(X3,X4,X1,X5)
    | epred1_4(X3,X4,X2,X5) ) ).

cnf(i_0_709,axiom,
    ( X1 != X2
    | ~ epred1_4(X3,X4,X5,X1)
    | epred1_4(X3,X4,X5,X2) ) ).

cnf(i_0_710,axiom,
    ( X1 != X2
    | ~ epred2_4(X1,X3,X4,X5)
    | epred2_4(X2,X3,X4,X5) ) ).

cnf(i_0_711,axiom,
    ( X1 != X2
    | ~ epred2_4(X3,X1,X4,X5)
    | epred2_4(X3,X2,X4,X5) ) ).

cnf(i_0_712,axiom,
    ( X1 != X2
    | ~ epred2_4(X3,X4,X1,X5)
    | epred2_4(X3,X4,X2,X5) ) ).

cnf(i_0_713,axiom,
    ( X1 != X2
    | ~ epred2_4(X3,X4,X5,X1)
    | epred2_4(X3,X4,X5,X2) ) ).

cnf(i_0_714,axiom,
    ( X1 != X2
    | ~ visFreeVar(X1,X3)
    | visFreeVar(X2,X3) ) ).

cnf(i_0_715,axiom,
    ( X1 != X2
    | ~ visFreeVar(X3,X1)
    | visFreeVar(X3,X2) ) ).

cnf(i_0_716,axiom,
    ( X1 != X2
    | ~ visSomeExp(X1)
    | visSomeExp(X2) ) ).

cnf(i_0_717,axiom,
    ( X1 != X2
    | ~ vtcheck(X1,X3,X4)
    | vtcheck(X2,X3,X4) ) ).

cnf(i_0_718,axiom,
    ( X1 != X2
    | ~ vtcheck(X3,X1,X4)
    | vtcheck(X3,X2,X4) ) ).

cnf(i_0_719,axiom,
    ( X1 != X2
    | ~ vtcheck(X3,X4,X1)
    | vtcheck(X3,X4,X2) ) ).

cnf(i_0_720,axiom,
    ( X1 != X2
    | ~ epred3_2(X1,X3)
    | epred3_2(X2,X3) ) ).

cnf(i_0_721,axiom,
    ( X1 != X2
    | ~ epred3_2(X3,X1)
    | epred3_2(X3,X2) ) ).

cnf(i_0_722,axiom,
    ( X1 != X2
    | ~ visValue(X1)
    | visValue(X2) ) ).

cnf(i_0_723,axiom,
    ( X1 != X2
    | ~ epred4_2(X1,X3)
    | epred4_2(X2,X3) ) ).

cnf(i_0_724,axiom,
    ( X1 != X2
    | ~ epred4_2(X3,X1)
    | epred4_2(X3,X2) ) ).

cnf(i_0_725,axiom,
    ( X1 != X2
    | ~ visSomeType(X1)
    | visSomeType(X2) ) ).

cnf(i_0_580_001,axiom,
    X1 = X1 ).

cnf(i_0_581_002,axiom,
    ( X1 = X2
    | X2 != X1 ) ).

cnf(i_0_582_003,axiom,
    ( X1 = X2
    | X1 != X3
    | X3 != X2 ) ).

cnf(i_0_583_004,axiom,
    ( X1 != X2
    | vsubst(X1,X3,X4) = vsubst(X2,X3,X4) ) ).

cnf(i_0_584_005,axiom,
    ( X1 != X2
    | vsubst(X3,X1,X4) = vsubst(X3,X2,X4) ) ).

cnf(i_0_585_006,axiom,
    ( X1 != X2
    | vsubst(X3,X4,X1) = vsubst(X3,X4,X2) ) ).

cnf(i_0_586_007,axiom,
    ( X1 != X2
    | esk51_4(X1,X3,X4,X5) = esk51_4(X2,X3,X4,X5) ) ).

cnf(i_0_587_008,axiom,
    ( X1 != X2
    | esk51_4(X3,X1,X4,X5) = esk51_4(X3,X2,X4,X5) ) ).

cnf(i_0_588_009,axiom,
    ( X1 != X2
    | esk51_4(X3,X4,X1,X5) = esk51_4(X3,X4,X2,X5) ) ).

cnf(i_0_589_010,axiom,
    ( X1 != X2
    | esk51_4(X3,X4,X5,X1) = esk51_4(X3,X4,X5,X2) ) ).

cnf(i_0_590_011,axiom,
    ( X1 != X2
    | vapp(X1,X3) = vapp(X2,X3) ) ).

cnf(i_0_591_012,axiom,
    ( X1 != X2
    | vapp(X3,X1) = vapp(X3,X2) ) ).

cnf(i_0_592_013,axiom,
    ( X1 != X2
    | esk46_4(X1,X3,X4,X5) = esk46_4(X2,X3,X4,X5) ) ).

cnf(i_0_593_014,axiom,
    ( X1 != X2
    | esk46_4(X3,X1,X4,X5) = esk46_4(X3,X2,X4,X5) ) ).

cnf(i_0_594_015,axiom,
    ( X1 != X2
    | esk46_4(X3,X4,X1,X5) = esk46_4(X3,X4,X2,X5) ) ).

cnf(i_0_595_016,axiom,
    ( X1 != X2
    | esk46_4(X3,X4,X5,X1) = esk46_4(X3,X4,X5,X2) ) ).

cnf(i_0_596_017,axiom,
    ( X1 != X2
    | esk47_4(X1,X3,X4,X5) = esk47_4(X2,X3,X4,X5) ) ).

cnf(i_0_597_018,axiom,
    ( X1 != X2
    | esk47_4(X3,X1,X4,X5) = esk47_4(X3,X2,X4,X5) ) ).

cnf(i_0_598_019,axiom,
    ( X1 != X2
    | esk47_4(X3,X4,X1,X5) = esk47_4(X3,X4,X2,X5) ) ).

cnf(i_0_599_020,axiom,
    ( X1 != X2
    | esk47_4(X3,X4,X5,X1) = esk47_4(X3,X4,X5,X2) ) ).

cnf(i_0_600_021,axiom,
    ( X1 != X2
    | esk50_4(X1,X3,X4,X5) = esk50_4(X2,X3,X4,X5) ) ).

cnf(i_0_601_022,axiom,
    ( X1 != X2
    | esk50_4(X3,X1,X4,X5) = esk50_4(X3,X2,X4,X5) ) ).

cnf(i_0_602_023,axiom,
    ( X1 != X2
    | esk50_4(X3,X4,X1,X5) = esk50_4(X3,X4,X2,X5) ) ).

cnf(i_0_603_024,axiom,
    ( X1 != X2
    | esk50_4(X3,X4,X5,X1) = esk50_4(X3,X4,X5,X2) ) ).

cnf(i_0_604_025,axiom,
    ( X1 != X2
    | esk49_4(X1,X3,X4,X5) = esk49_4(X2,X3,X4,X5) ) ).

cnf(i_0_605_026,axiom,
    ( X1 != X2
    | esk49_4(X3,X1,X4,X5) = esk49_4(X3,X2,X4,X5) ) ).

cnf(i_0_606_027,axiom,
    ( X1 != X2
    | esk49_4(X3,X4,X1,X5) = esk49_4(X3,X4,X2,X5) ) ).

cnf(i_0_607_028,axiom,
    ( X1 != X2
    | esk49_4(X3,X4,X5,X1) = esk49_4(X3,X4,X5,X2) ) ).

cnf(i_0_608_029,axiom,
    ( X1 != X2
    | esk54_4(X1,X3,X4,X5) = esk54_4(X2,X3,X4,X5) ) ).

cnf(i_0_609_030,axiom,
    ( X1 != X2
    | esk54_4(X3,X1,X4,X5) = esk54_4(X3,X2,X4,X5) ) ).

cnf(i_0_610_031,axiom,
    ( X1 != X2
    | esk54_4(X3,X4,X1,X5) = esk54_4(X3,X4,X2,X5) ) ).

cnf(i_0_611_032,axiom,
    ( X1 != X2
    | esk54_4(X3,X4,X5,X1) = esk54_4(X3,X4,X5,X2) ) ).

cnf(i_0_612_033,axiom,
    ( X1 != X2
    | vgensym(X1) = vgensym(X2) ) ).

cnf(i_0_613_034,axiom,
    ( X1 != X2
    | vsomeExp(X1) = vsomeExp(X2) ) ).

cnf(i_0_614_035,axiom,
    ( X1 != X2
    | vgetSomeExp(X1) = vgetSomeExp(X2) ) ).

cnf(i_0_615_036,axiom,
    ( X1 != X2
    | vreduce(X1) = vreduce(X2) ) ).

cnf(i_0_616_037,axiom,
    ( X1 != X2
    | esk10_4(X1,X3,X4,X5) = esk10_4(X2,X3,X4,X5) ) ).

cnf(i_0_617_038,axiom,
    ( X1 != X2
    | esk10_4(X3,X1,X4,X5) = esk10_4(X3,X2,X4,X5) ) ).

cnf(i_0_618_039,axiom,
    ( X1 != X2
    | esk10_4(X3,X4,X1,X5) = esk10_4(X3,X4,X2,X5) ) ).

cnf(i_0_619_040,axiom,
    ( X1 != X2
    | esk10_4(X3,X4,X5,X1) = esk10_4(X3,X4,X5,X2) ) ).

cnf(i_0_620_041,axiom,
    ( X1 != X2
    | esk12_4(X1,X3,X4,X5) = esk12_4(X2,X3,X4,X5) ) ).

cnf(i_0_621_042,axiom,
    ( X1 != X2
    | esk12_4(X3,X1,X4,X5) = esk12_4(X3,X2,X4,X5) ) ).

cnf(i_0_622_043,axiom,
    ( X1 != X2
    | esk12_4(X3,X4,X1,X5) = esk12_4(X3,X4,X2,X5) ) ).

cnf(i_0_623_044,axiom,
    ( X1 != X2
    | esk12_4(X3,X4,X5,X1) = esk12_4(X3,X4,X5,X2) ) ).

cnf(i_0_624_045,axiom,
    ( X1 != X2
    | esk55_4(X1,X3,X4,X5) = esk55_4(X2,X3,X4,X5) ) ).

cnf(i_0_625_046,axiom,
    ( X1 != X2
    | esk55_4(X3,X1,X4,X5) = esk55_4(X3,X2,X4,X5) ) ).

cnf(i_0_626_047,axiom,
    ( X1 != X2
    | esk55_4(X3,X4,X1,X5) = esk55_4(X3,X4,X2,X5) ) ).

cnf(i_0_627_048,axiom,
    ( X1 != X2
    | esk55_4(X3,X4,X5,X1) = esk55_4(X3,X4,X5,X2) ) ).

cnf(i_0_628_049,axiom,
    ( X1 != X2
    | esk13_4(X1,X3,X4,X5) = esk13_4(X2,X3,X4,X5) ) ).

cnf(i_0_629_050,axiom,
    ( X1 != X2
    | esk13_4(X3,X1,X4,X5) = esk13_4(X3,X2,X4,X5) ) ).

cnf(i_0_630_051,axiom,
    ( X1 != X2
    | esk13_4(X3,X4,X1,X5) = esk13_4(X3,X4,X2,X5) ) ).

cnf(i_0_631_052,axiom,
    ( X1 != X2
    | esk13_4(X3,X4,X5,X1) = esk13_4(X3,X4,X5,X2) ) ).

cnf(i_0_632_053,axiom,
    ( X1 != X2
    | esk40_4(X1,X3,X4,X5) = esk40_4(X2,X3,X4,X5) ) ).

cnf(i_0_633_054,axiom,
    ( X1 != X2
    | esk40_4(X3,X1,X4,X5) = esk40_4(X3,X2,X4,X5) ) ).

cnf(i_0_634_055,axiom,
    ( X1 != X2
    | esk40_4(X3,X4,X1,X5) = esk40_4(X3,X4,X2,X5) ) ).

cnf(i_0_635_056,axiom,
    ( X1 != X2
    | esk40_4(X3,X4,X5,X1) = esk40_4(X3,X4,X5,X2) ) ).

cnf(i_0_636_057,axiom,
    ( X1 != X2
    | esk43_4(X1,X3,X4,X5) = esk43_4(X2,X3,X4,X5) ) ).

cnf(i_0_637_058,axiom,
    ( X1 != X2
    | esk43_4(X3,X1,X4,X5) = esk43_4(X3,X2,X4,X5) ) ).

cnf(i_0_638_059,axiom,
    ( X1 != X2
    | esk43_4(X3,X4,X1,X5) = esk43_4(X3,X4,X2,X5) ) ).

cnf(i_0_639_060,axiom,
    ( X1 != X2
    | esk43_4(X3,X4,X5,X1) = esk43_4(X3,X4,X5,X2) ) ).

cnf(i_0_640_061,axiom,
    ( X1 != X2
    | esk44_4(X1,X3,X4,X5) = esk44_4(X2,X3,X4,X5) ) ).

cnf(i_0_641_062,axiom,
    ( X1 != X2
    | esk44_4(X3,X1,X4,X5) = esk44_4(X3,X2,X4,X5) ) ).

cnf(i_0_642_063,axiom,
    ( X1 != X2
    | esk44_4(X3,X4,X1,X5) = esk44_4(X3,X4,X2,X5) ) ).

cnf(i_0_643_064,axiom,
    ( X1 != X2
    | esk44_4(X3,X4,X5,X1) = esk44_4(X3,X4,X5,X2) ) ).

cnf(i_0_644_065,axiom,
    ( X1 != X2
    | esk39_4(X1,X3,X4,X5) = esk39_4(X2,X3,X4,X5) ) ).

cnf(i_0_645_066,axiom,
    ( X1 != X2
    | esk39_4(X3,X1,X4,X5) = esk39_4(X3,X2,X4,X5) ) ).

cnf(i_0_646_067,axiom,
    ( X1 != X2
    | esk39_4(X3,X4,X1,X5) = esk39_4(X3,X4,X2,X5) ) ).

cnf(i_0_647_068,axiom,
    ( X1 != X2
    | esk39_4(X3,X4,X5,X1) = esk39_4(X3,X4,X5,X2) ) ).

cnf(i_0_648_069,axiom,
    ( X1 != X2
    | esk41_4(X1,X3,X4,X5) = esk41_4(X2,X3,X4,X5) ) ).

cnf(i_0_649_070,axiom,
    ( X1 != X2
    | esk41_4(X3,X1,X4,X5) = esk41_4(X3,X2,X4,X5) ) ).

cnf(i_0_650_071,axiom,
    ( X1 != X2
    | esk41_4(X3,X4,X1,X5) = esk41_4(X3,X4,X2,X5) ) ).

cnf(i_0_651_072,axiom,
    ( X1 != X2
    | esk41_4(X3,X4,X5,X1) = esk41_4(X3,X4,X5,X2) ) ).

cnf(i_0_652_073,axiom,
    ( X1 != X2
    | vabs(X1,X3,X4) = vabs(X2,X3,X4) ) ).

cnf(i_0_653_074,axiom,
    ( X1 != X2
    | vabs(X3,X1,X4) = vabs(X3,X2,X4) ) ).

cnf(i_0_654_075,axiom,
    ( X1 != X2
    | vabs(X3,X4,X1) = vabs(X3,X4,X2) ) ).

cnf(i_0_655_076,axiom,
    ( X1 != X2
    | varrow(X1,X3) = varrow(X2,X3) ) ).

cnf(i_0_656_077,axiom,
    ( X1 != X2
    | varrow(X3,X1) = varrow(X3,X2) ) ).

cnf(i_0_657_078,axiom,
    ( X1 != X2
    | vbind(X1,X3,X4) = vbind(X2,X3,X4) ) ).

cnf(i_0_658_079,axiom,
    ( X1 != X2
    | vbind(X3,X1,X4) = vbind(X3,X2,X4) ) ).

cnf(i_0_659_080,axiom,
    ( X1 != X2
    | vbind(X3,X4,X1) = vbind(X3,X4,X2) ) ).

cnf(i_0_660_081,axiom,
    ( X1 != X2
    | vlookup(X1,X3) = vlookup(X2,X3) ) ).

cnf(i_0_661_082,axiom,
    ( X1 != X2
    | vlookup(X3,X1) = vlookup(X3,X2) ) ).

cnf(i_0_662_083,axiom,
    ( X1 != X2
    | esk58_4(X1,X3,X4,X5) = esk58_4(X2,X3,X4,X5) ) ).

cnf(i_0_663_084,axiom,
    ( X1 != X2
    | esk58_4(X3,X1,X4,X5) = esk58_4(X3,X2,X4,X5) ) ).

cnf(i_0_664_085,axiom,
    ( X1 != X2
    | esk58_4(X3,X4,X1,X5) = esk58_4(X3,X4,X2,X5) ) ).

cnf(i_0_665_086,axiom,
    ( X1 != X2
    | esk58_4(X3,X4,X5,X1) = esk58_4(X3,X4,X5,X2) ) ).

cnf(i_0_666_087,axiom,
    ( X1 != X2
    | vsomeType(X1) = vsomeType(X2) ) ).

cnf(i_0_667_088,axiom,
    ( X1 != X2
    | esk68_2(X1,X3) = esk68_2(X2,X3) ) ).

cnf(i_0_668_089,axiom,
    ( X1 != X2
    | esk68_2(X3,X1) = esk68_2(X3,X2) ) ).

cnf(i_0_669_090,axiom,
    ( X1 != X2
    | esk42_4(X1,X3,X4,X5) = esk42_4(X2,X3,X4,X5) ) ).

cnf(i_0_670_091,axiom,
    ( X1 != X2
    | esk42_4(X3,X1,X4,X5) = esk42_4(X3,X2,X4,X5) ) ).

cnf(i_0_671_092,axiom,
    ( X1 != X2
    | esk42_4(X3,X4,X1,X5) = esk42_4(X3,X4,X2,X5) ) ).

cnf(i_0_672_093,axiom,
    ( X1 != X2
    | esk42_4(X3,X4,X5,X1) = esk42_4(X3,X4,X5,X2) ) ).

cnf(i_0_673_094,axiom,
    ( X1 != X2
    | esk70_2(X1,X3) = esk70_2(X2,X3) ) ).

cnf(i_0_674_095,axiom,
    ( X1 != X2
    | esk70_2(X3,X1) = esk70_2(X3,X2) ) ).

cnf(i_0_675_096,axiom,
    ( X1 != X2
    | esk7_3(X1,X3,X4) = esk7_3(X2,X3,X4) ) ).

cnf(i_0_676_097,axiom,
    ( X1 != X2
    | esk7_3(X3,X1,X4) = esk7_3(X3,X2,X4) ) ).

cnf(i_0_677_098,axiom,
    ( X1 != X2
    | esk7_3(X3,X4,X1) = esk7_3(X3,X4,X2) ) ).

cnf(i_0_678_099,axiom,
    ( X1 != X2
    | esk4_3(X1,X3,X4) = esk4_3(X2,X3,X4) ) ).

cnf(i_0_679_100,axiom,
    ( X1 != X2
    | esk4_3(X3,X1,X4) = esk4_3(X3,X2,X4) ) ).

cnf(i_0_680_101,axiom,
    ( X1 != X2
    | esk4_3(X3,X4,X1) = esk4_3(X3,X4,X2) ) ).

cnf(i_0_681_102,axiom,
    ( X1 != X2
    | esk57_4(X1,X3,X4,X5) = esk57_4(X2,X3,X4,X5) ) ).

cnf(i_0_682_103,axiom,
    ( X1 != X2
    | esk57_4(X3,X1,X4,X5) = esk57_4(X3,X2,X4,X5) ) ).

cnf(i_0_683_104,axiom,
    ( X1 != X2
    | esk57_4(X3,X4,X1,X5) = esk57_4(X3,X4,X2,X5) ) ).

cnf(i_0_684_105,axiom,
    ( X1 != X2
    | esk57_4(X3,X4,X5,X1) = esk57_4(X3,X4,X5,X2) ) ).

cnf(i_0_685_106,axiom,
    ( X1 != X2
    | esk1_3(X1,X3,X4) = esk1_3(X2,X3,X4) ) ).

cnf(i_0_686_107,axiom,
    ( X1 != X2
    | esk1_3(X3,X1,X4) = esk1_3(X3,X2,X4) ) ).

cnf(i_0_687_108,axiom,
    ( X1 != X2
    | esk1_3(X3,X4,X1) = esk1_3(X3,X4,X2) ) ).

cnf(i_0_688_109,axiom,
    ( X1 != X2
    | esk8_3(X1,X3,X4) = esk8_3(X2,X3,X4) ) ).

cnf(i_0_689_110,axiom,
    ( X1 != X2
    | esk8_3(X3,X1,X4) = esk8_3(X3,X2,X4) ) ).

cnf(i_0_690_111,axiom,
    ( X1 != X2
    | esk8_3(X3,X4,X1) = esk8_3(X3,X4,X2) ) ).

cnf(i_0_691_112,axiom,
    ( X1 != X2
    | esk3_3(X1,X3,X4) = esk3_3(X2,X3,X4) ) ).

cnf(i_0_692_113,axiom,
    ( X1 != X2
    | esk3_3(X3,X1,X4) = esk3_3(X3,X2,X4) ) ).

cnf(i_0_693_114,axiom,
    ( X1 != X2
    | esk3_3(X3,X4,X1) = esk3_3(X3,X4,X2) ) ).

cnf(i_0_694_115,axiom,
    ( X1 != X2
    | esk80_2(X1,X3) = esk80_2(X2,X3) ) ).

cnf(i_0_695_116,axiom,
    ( X1 != X2
    | esk80_2(X3,X1) = esk80_2(X3,X2) ) ).

cnf(i_0_696_117,axiom,
    ( X1 != X2
    | vvar(X1) = vvar(X2) ) ).

cnf(i_0_697_118,axiom,
    ( X1 != X2
    | esk79_2(X1,X3) = esk79_2(X2,X3) ) ).

cnf(i_0_698_119,axiom,
    ( X1 != X2
    | esk79_2(X3,X1) = esk79_2(X3,X2) ) ).

cnf(i_0_699_120,axiom,
    ( X1 != X2
    | esk77_2(X1,X3) = esk77_2(X2,X3) ) ).

cnf(i_0_700_121,axiom,
    ( X1 != X2
    | esk77_2(X3,X1) = esk77_2(X3,X2) ) ).

cnf(i_0_701_122,axiom,
    ( X1 != X2
    | esk22_2(X1,X3) = esk22_2(X2,X3) ) ).

cnf(i_0_702_123,axiom,
    ( X1 != X2
    | esk22_2(X3,X1) = esk22_2(X3,X2) ) ).

cnf(i_0_703_124,axiom,
    ( X1 != X2
    | esk23_2(X1,X3) = esk23_2(X2,X3) ) ).

cnf(i_0_704_125,axiom,
    ( X1 != X2
    | esk23_2(X3,X1) = esk23_2(X3,X2) ) ).

cnf(i_0_705_126,axiom,
    ( X1 != X2
    | vgetSomeType(X1) = vgetSomeType(X2) ) ).

cnf(i_0_706_127,axiom,
    ( X1 != X2
    | ~ epred1_4(X1,X3,X4,X5)
    | epred1_4(X2,X3,X4,X5) ) ).

cnf(i_0_707_128,axiom,
    ( X1 != X2
    | ~ epred1_4(X3,X1,X4,X5)
    | epred1_4(X3,X2,X4,X5) ) ).

cnf(i_0_708_129,axiom,
    ( X1 != X2
    | ~ epred1_4(X3,X4,X1,X5)
    | epred1_4(X3,X4,X2,X5) ) ).

cnf(i_0_709_130,axiom,
    ( X1 != X2
    | ~ epred1_4(X3,X4,X5,X1)
    | epred1_4(X3,X4,X5,X2) ) ).

cnf(i_0_710_131,axiom,
    ( X1 != X2
    | ~ epred2_4(X1,X3,X4,X5)
    | epred2_4(X2,X3,X4,X5) ) ).

cnf(i_0_711_132,axiom,
    ( X1 != X2
    | ~ epred2_4(X3,X1,X4,X5)
    | epred2_4(X3,X2,X4,X5) ) ).

cnf(i_0_712_133,axiom,
    ( X1 != X2
    | ~ epred2_4(X3,X4,X1,X5)
    | epred2_4(X3,X4,X2,X5) ) ).

cnf(i_0_713_134,axiom,
    ( X1 != X2
    | ~ epred2_4(X3,X4,X5,X1)
    | epred2_4(X3,X4,X5,X2) ) ).

cnf(i_0_714_135,axiom,
    ( X1 != X2
    | ~ visFreeVar(X1,X3)
    | visFreeVar(X2,X3) ) ).

cnf(i_0_715_136,axiom,
    ( X1 != X2
    | ~ visFreeVar(X3,X1)
    | visFreeVar(X3,X2) ) ).

cnf(i_0_716_137,axiom,
    ( X1 != X2
    | ~ visSomeExp(X1)
    | visSomeExp(X2) ) ).

cnf(i_0_717_138,axiom,
    ( X1 != X2
    | ~ vtcheck(X1,X3,X4)
    | vtcheck(X2,X3,X4) ) ).

cnf(i_0_718_139,axiom,
    ( X1 != X2
    | ~ vtcheck(X3,X1,X4)
    | vtcheck(X3,X2,X4) ) ).

cnf(i_0_719_140,axiom,
    ( X1 != X2
    | ~ vtcheck(X3,X4,X1)
    | vtcheck(X3,X4,X2) ) ).

cnf(i_0_720_141,axiom,
    ( X1 != X2
    | ~ epred3_2(X1,X3)
    | epred3_2(X2,X3) ) ).

cnf(i_0_721_142,axiom,
    ( X1 != X2
    | ~ epred3_2(X3,X1)
    | epred3_2(X3,X2) ) ).

cnf(i_0_722_143,axiom,
    ( X1 != X2
    | ~ visValue(X1)
    | visValue(X2) ) ).

cnf(i_0_723_144,axiom,
    ( X1 != X2
    | ~ epred4_2(X1,X3)
    | epred4_2(X2,X3) ) ).

cnf(i_0_724_145,axiom,
    ( X1 != X2
    | ~ epred4_2(X3,X1)
    | epred4_2(X3,X2) ) ).

cnf(i_0_725_146,axiom,
    ( X1 != X2
    | ~ visSomeType(X1)
    | visSomeType(X2) ) ).

cnf(i_0_726,plain,
    ( epred2_4(vsubst(X1,X2,X3),X3,X2,X1)
    | vsubst(X1,X2,X3) = vabs(esk10_4(X1,X2,X3,vsubst(X1,X2,X3)),esk11_4(X1,X2,X3,vsubst(X1,X2,X3)),vsubst(esk12_4(X1,X2,X3,vsubst(X1,X2,X3)),esk13_4(X1,X2,X3,vsubst(X1,X2,X3)),esk14_4(X1,X2,X3,vsubst(X1,X2,X3)))) ),
    inference(equality_inference,[],[233]) ).

cnf(i_0_727,plain,
    ( epred2_4(vsubst(X1,X2,X3),X3,X2,X1)
    | ~ visFreeVar(esk10_4(X1,X2,X3,vsubst(X1,X2,X3)),esk13_4(X1,X2,X3,vsubst(X1,X2,X3))) ),
    inference(equality_inference,[],[295]) ).

cnf(i_0_728,plain,
    ( epred2_4(vsubst(X1,X2,X3),X3,X2,X1)
    | X3 = vabs(esk10_4(X1,X2,X3,vsubst(X1,X2,X3)),esk11_4(X1,X2,X3,vsubst(X1,X2,X3)),esk14_4(X1,X2,X3,vsubst(X1,X2,X3))) ),
    inference(equality_inference,[],[296]) ).

cnf(i_0_729,plain,
    ( ~ vtcheck(X1,X2,X3)
    | ~ vtcheck(vbind(X4,X3,X1),vabs(X4,X5,X6),X7)
    | vtcheck(X1,vsubst(X4,X2,vabs(X4,X5,X6)),X7) ),
    inference(equality_inference,[],[352]) ).

cnf(i_0_730,plain,
    ( X1 = esk1_3(X1,X2,vlookup(X1,X2))
    | X2 = vbind(esk4_3(X1,X2,vlookup(X1,X2)),esk5_3(X1,X2,vlookup(X1,X2)),esk2_3(X1,X2,vlookup(X1,X2)))
    | X2 = vbind(esk7_3(X1,X2,vlookup(X1,X2)),esk6_3(X1,X2,vlookup(X1,X2)),esk9_3(X1,X2,vlookup(X1,X2))) ),
    inference(equality_inference,[],[365]) ).

cnf(i_0_731,plain,
    ( X1 = vempty
    | X1 = vbind(esk4_3(X2,X1,vlookup(X2,X1)),esk5_3(X2,X1,vlookup(X2,X1)),esk2_3(X2,X1,vlookup(X2,X1)))
    | X1 = vbind(esk7_3(X2,X1,vlookup(X2,X1)),esk6_3(X2,X1,vlookup(X2,X1)),esk9_3(X2,X1,vlookup(X2,X1))) ),
    inference(equality_inference,[],[370]) ).

cnf(i_0_732,plain,
    ( vlookup(X1,X2) = vnoType
    | X2 = vbind(esk4_3(X1,X2,vlookup(X1,X2)),esk5_3(X1,X2,vlookup(X1,X2)),esk2_3(X1,X2,vlookup(X1,X2)))
    | X2 = vbind(esk7_3(X1,X2,vlookup(X1,X2)),esk6_3(X1,X2,vlookup(X1,X2)),esk9_3(X1,X2,vlookup(X1,X2))) ),
    inference(equality_inference,[],[371]) ).

cnf(i_0_733,plain,
    ( vtcheck(vbind(X1,X2,X3),X4,X5)
    | ~ vtcheck(vbind(X1,X2,vbind(X1,X6,X3)),X4,X5) ),
    inference(equality_inference,[],[378]) ).

cnf(i_0_734,plain,
    ( X1 = esk1_3(X1,X2,vlookup(X1,X2))
    | X2 = vbind(esk4_3(X1,X2,vlookup(X1,X2)),esk5_3(X1,X2,vlookup(X1,X2)),esk2_3(X1,X2,vlookup(X1,X2)))
    | vlookup(X1,X2) = vlookup(esk8_3(X1,X2,vlookup(X1,X2)),esk9_3(X1,X2,vlookup(X1,X2))) ),
    inference(equality_inference,[],[385]) ).

cnf(i_0_735,plain,
    ( vlookup(X1,X2) = vnoType
    | X2 = vbind(esk4_3(X1,X2,vlookup(X1,X2)),esk5_3(X1,X2,vlookup(X1,X2)),esk2_3(X1,X2,vlookup(X1,X2)))
    | vlookup(X1,X2) = vlookup(esk8_3(X1,X2,vlookup(X1,X2)),esk9_3(X1,X2,vlookup(X1,X2))) ),
    inference(equality_inference,[],[390]) ).

cnf(i_0_736,plain,
    ( X1 = vempty
    | X1 = vbind(esk4_3(X2,X1,vlookup(X2,X1)),esk5_3(X2,X1,vlookup(X2,X1)),esk2_3(X2,X1,vlookup(X2,X1)))
    | vlookup(X2,X1) = vlookup(esk8_3(X2,X1,vlookup(X2,X1)),esk9_3(X2,X1,vlookup(X2,X1))) ),
    inference(equality_inference,[],[391]) ).

cnf(i_0_737,plain,
    ( epred2_4(vsubst(X1,X2,X3),X3,X2,X1)
    | X2 = esk13_4(X1,X2,X3,vsubst(X1,X2,X3)) ),
    inference(equality_inference,[],[395]) ).

cnf(i_0_738,plain,
    ( epred2_4(vsubst(X1,X2,X3),X3,X2,X1)
    | X1 = esk12_4(X1,X2,X3,vsubst(X1,X2,X3)) ),
    inference(equality_inference,[],[396]) ).

cnf(i_0_739,plain,
    ( X1 = esk1_3(X1,X2,vlookup(X1,X2))
    | vlookup(X1,X2) = vsomeType(esk5_3(X1,X2,vlookup(X1,X2)))
    | X2 = vbind(esk7_3(X1,X2,vlookup(X1,X2)),esk6_3(X1,X2,vlookup(X1,X2)),esk9_3(X1,X2,vlookup(X1,X2))) ),
    inference(equality_inference,[],[399]) ).

cnf(i_0_740,plain,
    ( esk3_3(X1,X2,vlookup(X1,X2)) = esk4_3(X1,X2,vlookup(X1,X2))
    | X1 = esk1_3(X1,X2,vlookup(X1,X2))
    | X2 = vbind(esk7_3(X1,X2,vlookup(X1,X2)),esk6_3(X1,X2,vlookup(X1,X2)),esk9_3(X1,X2,vlookup(X1,X2))) ),
    inference(equality_inference,[],[400]) ).

cnf(i_0_741,plain,
    ( X1 = vempty
    | vlookup(X2,X1) = vsomeType(esk5_3(X2,X1,vlookup(X2,X1)))
    | X1 = vbind(esk7_3(X2,X1,vlookup(X2,X1)),esk6_3(X2,X1,vlookup(X2,X1)),esk9_3(X2,X1,vlookup(X2,X1))) ),
    inference(equality_inference,[],[408]) ).

cnf(i_0_742,plain,
    ( vlookup(X1,X2) = vnoType
    | vlookup(X1,X2) = vsomeType(esk5_3(X1,X2,vlookup(X1,X2)))
    | X2 = vbind(esk7_3(X1,X2,vlookup(X1,X2)),esk6_3(X1,X2,vlookup(X1,X2)),esk9_3(X1,X2,vlookup(X1,X2))) ),
    inference(equality_inference,[],[409]) ).

cnf(i_0_743,plain,
    ( X1 = esk1_3(X1,X2,vlookup(X1,X2))
    | X1 = esk8_3(X1,X2,vlookup(X1,X2))
    | X2 = vbind(esk4_3(X1,X2,vlookup(X1,X2)),esk5_3(X1,X2,vlookup(X1,X2)),esk2_3(X1,X2,vlookup(X1,X2))) ),
    inference(equality_inference,[],[410]) ).

cnf(i_0_744,plain,
    ( X1 = esk3_3(X1,X2,vlookup(X1,X2))
    | X1 = esk1_3(X1,X2,vlookup(X1,X2))
    | X2 = vbind(esk7_3(X1,X2,vlookup(X1,X2)),esk6_3(X1,X2,vlookup(X1,X2)),esk9_3(X1,X2,vlookup(X1,X2))) ),
    inference(equality_inference,[],[411]) ).

cnf(i_0_745,plain,
    ( esk3_3(X1,X2,vlookup(X1,X2)) = esk4_3(X1,X2,vlookup(X1,X2))
    | X2 = vempty
    | X2 = vbind(esk7_3(X1,X2,vlookup(X1,X2)),esk6_3(X1,X2,vlookup(X1,X2)),esk9_3(X1,X2,vlookup(X1,X2))) ),
    inference(equality_inference,[],[412]) ).

cnf(i_0_746,plain,
    ( esk3_3(X1,X2,vlookup(X1,X2)) = esk4_3(X1,X2,vlookup(X1,X2))
    | vlookup(X1,X2) = vnoType
    | X2 = vbind(esk7_3(X1,X2,vlookup(X1,X2)),esk6_3(X1,X2,vlookup(X1,X2)),esk9_3(X1,X2,vlookup(X1,X2))) ),
    inference(equality_inference,[],[413]) ).

cnf(i_0_747,plain,
    ( X1 = esk3_3(X1,X2,vlookup(X1,X2))
    | X2 = vempty
    | X2 = vbind(esk7_3(X1,X2,vlookup(X1,X2)),esk6_3(X1,X2,vlookup(X1,X2)),esk9_3(X1,X2,vlookup(X1,X2))) ),
    inference(equality_inference,[],[424]) ).

cnf(i_0_748,plain,
    ( X1 = vempty
    | X2 = esk8_3(X2,X1,vlookup(X2,X1))
    | X1 = vbind(esk4_3(X2,X1,vlookup(X2,X1)),esk5_3(X2,X1,vlookup(X2,X1)),esk2_3(X2,X1,vlookup(X2,X1))) ),
    inference(equality_inference,[],[425]) ).

cnf(i_0_749,plain,
    ( vlookup(X1,X2) = vnoType
    | X1 = esk8_3(X1,X2,vlookup(X1,X2))
    | X2 = vbind(esk4_3(X1,X2,vlookup(X1,X2)),esk5_3(X1,X2,vlookup(X1,X2)),esk2_3(X1,X2,vlookup(X1,X2))) ),
    inference(equality_inference,[],[426]) ).

cnf(i_0_750,plain,
    ( X1 = esk3_3(X1,X2,vlookup(X1,X2))
    | vlookup(X1,X2) = vnoType
    | X2 = vbind(esk7_3(X1,X2,vlookup(X1,X2)),esk6_3(X1,X2,vlookup(X1,X2)),esk9_3(X1,X2,vlookup(X1,X2))) ),
    inference(equality_inference,[],[427]) ).

cnf(i_0_751,plain,
    ( X1 = esk1_3(X1,X2,vlookup(X1,X2))
    | vlookup(X1,X2) = vsomeType(esk5_3(X1,X2,vlookup(X1,X2)))
    | vlookup(X1,X2) = vlookup(esk8_3(X1,X2,vlookup(X1,X2)),esk9_3(X1,X2,vlookup(X1,X2))) ),
    inference(equality_inference,[],[431]) ).

cnf(i_0_752,plain,
    ( esk3_3(X1,X2,vlookup(X1,X2)) = esk4_3(X1,X2,vlookup(X1,X2))
    | X1 = esk1_3(X1,X2,vlookup(X1,X2))
    | vlookup(X1,X2) = vlookup(esk8_3(X1,X2,vlookup(X1,X2)),esk9_3(X1,X2,vlookup(X1,X2))) ),
    inference(equality_inference,[],[432]) ).

cnf(i_0_753,plain,
    ( vlookup(X1,X2) = vnoType
    | vlookup(X1,X2) = vsomeType(esk5_3(X1,X2,vlookup(X1,X2)))
    | vlookup(X1,X2) = vlookup(esk8_3(X1,X2,vlookup(X1,X2)),esk9_3(X1,X2,vlookup(X1,X2))) ),
    inference(equality_inference,[],[445]) ).

cnf(i_0_754,plain,
    ( X1 = vempty
    | vlookup(X2,X1) = vsomeType(esk5_3(X2,X1,vlookup(X2,X1)))
    | vlookup(X2,X1) = vlookup(esk8_3(X2,X1,vlookup(X2,X1)),esk9_3(X2,X1,vlookup(X2,X1))) ),
    inference(equality_inference,[],[446]) ).

cnf(i_0_755,plain,
    ( X1 = esk3_3(X1,X2,vlookup(X1,X2))
    | X1 = esk1_3(X1,X2,vlookup(X1,X2))
    | vlookup(X1,X2) = vlookup(esk8_3(X1,X2,vlookup(X1,X2)),esk9_3(X1,X2,vlookup(X1,X2))) ),
    inference(equality_inference,[],[447]) ).

cnf(i_0_756,plain,
    ( esk3_3(X1,X2,vlookup(X1,X2)) = esk4_3(X1,X2,vlookup(X1,X2))
    | vlookup(X1,X2) = vnoType
    | vlookup(X1,X2) = vlookup(esk8_3(X1,X2,vlookup(X1,X2)),esk9_3(X1,X2,vlookup(X1,X2))) ),
    inference(equality_inference,[],[448]) ).

cnf(i_0_757,plain,
    ( esk3_3(X1,X2,vlookup(X1,X2)) = esk4_3(X1,X2,vlookup(X1,X2))
    | X2 = vempty
    | vlookup(X1,X2) = vlookup(esk8_3(X1,X2,vlookup(X1,X2)),esk9_3(X1,X2,vlookup(X1,X2))) ),
    inference(equality_inference,[],[449]) ).

cnf(i_0_758,plain,
    ( X1 = esk3_3(X1,X2,vlookup(X1,X2))
    | vlookup(X1,X2) = vnoType
    | vlookup(X1,X2) = vlookup(esk8_3(X1,X2,vlookup(X1,X2)),esk9_3(X1,X2,vlookup(X1,X2))) ),
    inference(equality_inference,[],[461]) ).

cnf(i_0_759,plain,
    ( X1 = esk3_3(X1,X2,vlookup(X1,X2))
    | X2 = vempty
    | vlookup(X1,X2) = vlookup(esk8_3(X1,X2,vlookup(X1,X2)),esk9_3(X1,X2,vlookup(X1,X2))) ),
    inference(equality_inference,[],[462]) ).

cnf(i_0_760,plain,
    ( X1 = esk1_3(X1,X2,vlookup(X1,X2))
    | X1 = esk8_3(X1,X2,vlookup(X1,X2))
    | vlookup(X1,X2) = vsomeType(esk5_3(X1,X2,vlookup(X1,X2))) ),
    inference(equality_inference,[],[484]) ).

cnf(i_0_761,plain,
    ( esk3_3(X1,X2,vlookup(X1,X2)) = esk4_3(X1,X2,vlookup(X1,X2))
    | X1 = esk1_3(X1,X2,vlookup(X1,X2))
    | X1 = esk8_3(X1,X2,vlookup(X1,X2)) ),
    inference(equality_inference,[],[486]) ).

cnf(i_0_762,plain,
    ( X1 = vempty
    | X2 = esk8_3(X2,X1,vlookup(X2,X1))
    | vlookup(X2,X1) = vsomeType(esk5_3(X2,X1,vlookup(X2,X1))) ),
    inference(equality_inference,[],[494]) ).

cnf(i_0_763,plain,
    ( vlookup(X1,X2) = vnoType
    | X1 = esk8_3(X1,X2,vlookup(X1,X2))
    | vlookup(X1,X2) = vsomeType(esk5_3(X1,X2,vlookup(X1,X2))) ),
    inference(equality_inference,[],[495]) ).

cnf(i_0_764,plain,
    ( X1 = esk3_3(X1,X2,vlookup(X1,X2))
    | X1 = esk1_3(X1,X2,vlookup(X1,X2))
    | X1 = esk8_3(X1,X2,vlookup(X1,X2)) ),
    inference(equality_inference,[],[498]) ).

cnf(i_0_765,plain,
    ( esk3_3(X1,X2,vlookup(X1,X2)) = esk4_3(X1,X2,vlookup(X1,X2))
    | X2 = vempty
    | X1 = esk8_3(X1,X2,vlookup(X1,X2)) ),
    inference(equality_inference,[],[499]) ).

cnf(i_0_766,plain,
    ( esk3_3(X1,X2,vlookup(X1,X2)) = esk4_3(X1,X2,vlookup(X1,X2))
    | vlookup(X1,X2) = vnoType
    | X1 = esk8_3(X1,X2,vlookup(X1,X2)) ),
    inference(equality_inference,[],[500]) ).

cnf(i_0_767,plain,
    X1 = X1,
    inference(equality_inference,[],[502]) ).

cnf(i_0_768,plain,
    X1 = X1,
    inference(equality_inference,[],[503]) ).

cnf(i_0_769,plain,
    X1 = X1,
    inference(equality_inference,[],[504]) ).

cnf(i_0_770,plain,
    X1 = X1,
    inference(equality_inference,[],[505]) ).

cnf(i_0_771,plain,
    X1 = X1,
    inference(equality_inference,[],[506]) ).

cnf(i_0_772,plain,
    X1 = X1,
    inference(equality_inference,[],[507]) ).

cnf(i_0_773,plain,
    ( X1 = esk3_3(X1,X2,vlookup(X1,X2))
    | X2 = vempty
    | X1 = esk8_3(X1,X2,vlookup(X1,X2)) ),
    inference(equality_inference,[],[514]) ).

cnf(i_0_774,plain,
    ( X1 = esk3_3(X1,X2,vlookup(X1,X2))
    | vlookup(X1,X2) = vnoType
    | X1 = esk8_3(X1,X2,vlookup(X1,X2)) ),
    inference(equality_inference,[],[515]) ).

cnf(i_0_775,plain,
    visValue(vabs(X1,X2,X3)),
    inference(equality_inference,[],[543]) ).

cnf(i_0_776,plain,
    ( epred4_2(vreduce(X1),X1)
    | X1 = vapp(esk22_2(X1,vreduce(X1)),esk21_2(X1,vreduce(X1))) ),
    inference(equality_inference,[],[544]) ).

cnf(i_0_777,plain,
    ( epred4_2(vreduce(X1),X1)
    | ~ visSomeExp(esk23_2(X1,vreduce(X1))) ),
    inference(equality_inference,[],[550]) ).

cnf(i_0_778,plain,
    ( epred4_2(vreduce(X1),X1)
    | esk23_2(X1,vreduce(X1)) = vreduce(esk22_2(X1,vreduce(X1))) ),
    inference(equality_inference,[],[552]) ).

cnf(i_0_779,plain,
    X1 = X1,
    inference(equality_inference,[],[556]) ).

cnf(i_0_780,plain,
    X1 = X1,
    inference(equality_inference,[],[557]) ).

cnf(i_0_781,plain,
    X1 = X1,
    inference(equality_inference,[],[558]) ).

cnf(i_0_782,plain,
    X1 = X1,
    inference(equality_inference,[],[559]) ).

cnf(i_0_783,plain,
    ~ visValue(vapp(X1,X2)),
    inference(equality_inference,[],[562]) ).

cnf(i_0_784,plain,
    ~ visFreeVar(vgensym(X1),X1),
    inference(equality_inference,[],[563]) ).

cnf(i_0_785,plain,
    ( epred4_2(vreduce(X1),X1)
    | vreduce(X1) = vnoExp ),
    inference(equality_inference,[],[566]) ).

cnf(i_0_786,plain,
    ~ visValue(vvar(X1)),
    inference(equality_inference,[],[570]) ).

cnf(i_0_787,plain,
    X1 = X1,
    inference(equality_inference,[],[571]) ).

cnf(i_0_788,plain,
    X1 = X1,
    inference(equality_inference,[],[572]) ).

cnf(i_0_789,plain,
    X1 = X1,
    inference(equality_inference,[],[573]) ).

cnf(i_0_790,plain,
    visSomeExp(vsomeExp(X1)),
    inference(equality_inference,[],[574]) ).

cnf(i_0_791,plain,
    visSomeType(vsomeType(X1)),
    inference(equality_inference,[],[575]) ).

cnf(i_0_792,plain,
    ~ visSomeExp(vnoExp),
    inference(equality_inference,[],[576]) ).

cnf(i_0_793,plain,
    ~ visSomeType(vnoType),
    inference(equality_inference,[],[577]) ).

cnf(i_0_794,plain,
    vtcheck(esk33_0,vabs(esk34_0,esk32_0,vabs(esk36_0,esk37_0,veabs)),varrow(esk32_0,esk38_0)),
    inference(scs_inference,[],[i_0_482,i_0_430]) ).

cnf(i_0_795,plain,
    ( ~ vtcheck(vbind(X1,X2,X3),X4,X5)
    | vtcheck(X3,vabs(X1,X2,X4),varrow(X2,X5)) ),
    inference(rename_variables,[],[i_0_430]) ).

cnf(i_0_796,plain,
    epred2_4(vsubst(X1,X2,vvar(X3)),vvar(X3),X2,X1),
    inference(scs_inference,[],[i_0_482,i_0_542,i_0_430,i_0_728]) ).

cnf(i_0_797,plain,
    vvar(X1) != vabs(X2,X3,X4),
    inference(rename_variables,[],[i_0_542]) ).

cnf(i_0_798,plain,
    ( X1 = vabs(esk10_4(X2,X3,X1,vsubst(X2,X3,X1)),esk11_4(X2,X3,X1,vsubst(X2,X3,X1)),esk14_4(X2,X3,X1,vsubst(X2,X3,X1)))
    | epred2_4(vsubst(X2,X3,X1),X1,X3,X2) ),
    inference(rename_variables,[],[i_0_728]) ).

cnf(i_0_799,plain,
    epred4_2(vreduce(vabs(X1,X2,X3)),vabs(X1,X2,X3)),
    inference(scs_inference,[],[i_0_482,i_0_536,i_0_542,i_0_430,i_0_728,i_0_776]) ).

cnf(i_0_800,plain,
    vabs(X1,X2,X3) != vapp(X4,X5),
    inference(rename_variables,[],[i_0_536]) ).

cnf(i_0_801,plain,
    ( X1 = vapp(esk22_2(X1,vreduce(X1)),esk21_2(X1,vreduce(X1)))
    | epred4_2(vreduce(X1),X1) ),
    inference(rename_variables,[],[i_0_776]) ).

cnf(i_0_802,plain,
    vsomeExp(X1) != vnoExp,
    inference(scs_inference,[],[i_0_482,i_0_790,i_0_536,i_0_542,i_0_792,i_0_430,i_0_728,i_0_776,i_0_716]) ).

cnf(i_0_803,plain,
    vsomeType(X1) != vnoType,
    inference(scs_inference,[],[i_0_482,i_0_790,i_0_791,i_0_536,i_0_542,i_0_792,i_0_793,i_0_430,i_0_728,i_0_776,i_0_716,i_0_725]) ).

cnf(i_0_804,plain,
    esk34_0 != esk36_0,
    inference(scs_inference,[],[i_0_401,i_0_482,i_0_555,i_0_790,i_0_791,i_0_536,i_0_542,i_0_792,i_0_793,i_0_430,i_0_728,i_0_776,i_0_716,i_0_725,i_0_352]) ).

cnf(i_0_805,plain,
    ( vtcheck(X1,vsubst(X2,X3,vabs(X4,X5,X6)),X7)
    | ~ vtcheck(vbind(X2,X8,X1),vabs(X4,X5,X6),X7)
    | X2 != X4
    | ~ vtcheck(X1,X3,X8) ),
    inference(rename_variables,[],[i_0_352]) ).

cnf(i_0_806,plain,
    ~ visFreeVar(esk36_0,esk35_0),
    inference(scs_inference,[],[i_0_401,i_0_482,i_0_555,i_0_790,i_0_791,i_0_536,i_0_542,i_0_792,i_0_793,i_0_430,i_0_728,i_0_776,i_0_716,i_0_725,i_0_352,i_0_349]) ).

cnf(i_0_807,plain,
    ( vtcheck(X1,vsubst(X2,X3,vabs(X4,X5,veabs)),X6)
    | ~ vtcheck(vbind(X2,X7,X1),vabs(X4,X5,veabs),X6)
    | ~ visFreeVar(X4,X3)
    | X2 = X4
    | ~ vtcheck(X1,X3,X7) ),
    inference(rename_variables,[],[i_0_349]) ).

cnf(i_0_808,plain,
    $false,
    inference(scs_inference,[],[i_0_401,i_0_482,i_0_555,i_0_790,i_0_791,i_0_536,i_0_542,i_0_792,i_0_793,i_0_430,i_0_728,i_0_776,i_0_716,i_0_725,i_0_352,i_0_349,i_0_351]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem    : COM133+1 : TPTP v9.2.1. Released v6.4.0.
% 0.00/0.12  % 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
% 0.14/0.33  % Computer : n028.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   : Mon May  4 16:22:16 EDT 2026
% 0.14/0.33  % CPUTime    : 
% 0.14/0.34  % start to proof: theBenchmark
% 0.96/1.67  % Version  : CSE_E---1.7
% 0.96/1.67  % Problem  : theBenchmark.p
% 0.96/1.67  % SZS status Theorem for theBenchmark.p
% 0.96/1.67  % SZS output start CNFRefutation
% See solution above
% 1.12/1.81  % Total time : 1.325s
%------------------------------------------------------------------------------