%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : COM141+1 : TPTP v9.2.1. Released v6.4.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d
% Computer : n024.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 04:13:20 PM UTC 2026
% Result : Theorem 0.38s 1.51s
% Output : CNFRefutation 0.38s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named c_0_57)
% 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/sandbox2/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/sandbox2/benchmark/Axioms/COM001+0.ax',reduce6) ).
fof('T-Weak-abs',conjecture,
! [X9,X10,X20,X21,X35,X15] :
( ( vlookup(X9,X20) = vnoType
& vtcheck(X20,vabs(X21,X35,veabs),X15) )
=> vtcheck(vbind(X9,X10,X20),vabs(X21,X35,veabs),X15) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','T-Weak-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/sandbox2/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/sandbox2/benchmark/Axioms/COM001+0.ax',reduce3) ).
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/sandbox2/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/sandbox2/benchmark/Axioms/COM001+0.ax','reduce-INV') ).
fof(isValue2,axiom,
! [X12,X13,X4] :
( X4 = vapp(X12,X13)
=> ~ visValue(X4) ),
file('/export/starexec/sandbox2/benchmark/Axioms/COM001+0.ax',isValue2) ).
fof('gensym-is-fresh',axiom,
! [X14,X11] :
( vgensym(X11) = X14
=> ~ visFreeVar(X14,X11) ),
file('/export/starexec/sandbox2/benchmark/Axioms/COM001+0.ax','gensym-is-fresh') ).
fof(isValue1,axiom,
! [X9,X4] :
( X4 = vvar(X9)
=> ~ visValue(X4) ),
file('/export/starexec/sandbox2/benchmark/Axioms/COM001+0.ax',isValue1) ).
fof(isSomeExp0,axiom,
! [X25] :
( X25 = vnoExp
=> ~ visSomeExp(X25) ),
file('/export/starexec/sandbox2/benchmark/Axioms/COM001+0.ax',isSomeExp0) ).
fof(isSomeType0,axiom,
! [X18] :
( X18 = vnoType
=> ~ visSomeType(X18) ),
file('/export/starexec/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/benchmark/Axioms/COM001+0.ax','T-Context-Swap') ).
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/sandbox2/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/sandbox2/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/sandbox2/benchmark/Axioms/COM001+0.ax','T-Context-Duplicate') ).
fof('T-Weak-abs-2',axiom,
! [X9,X10,X20,X21,X35,X15] :
( ( X9 = X21
& vlookup(X9,X20) = vnoType
& vtcheck(X20,vabs(X21,X35,veabs),X15) )
=> vtcheck(vbind(X9,X10,X20),vabs(X21,X35,veabs),X15) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','T-Weak-abs-2') ).
fof('T-Weak-abs-1',axiom,
! [X9,X10,X20,X21,X35,X15] :
( ( X9 != X21
& vlookup(X9,X20) = vnoType
& vtcheck(X20,vabs(X21,X35,veabs),X15) )
=> vtcheck(vbind(X9,X10,X20),vabs(X21,X35,veabs),X15) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','T-Weak-abs-1') ).
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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/benchmark/Axioms/COM001+0.ax','T-app') ).
fof('T-Weak-abs-IH',axiom,
! [X9,X10,X20,X15] :
( ( vlookup(X9,X20) = vnoType
& vtcheck(X20,veabs,X15) )
=> vtcheck(vbind(X9,X10,X20),veabs,X15) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','T-Weak-abs-IH') ).
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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/benchmark/Axioms/COM001+0.ax',reduce1) ).
fof('DIFF-var-abs',axiom,
! [X1,X2,X3,X4] : vvar(X1) != vabs(X2,X3,X4),
file('/export/starexec/sandbox2/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/sandbox2/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/sandbox2/benchmark/Axioms/COM001+0.ax','T-var') ).
fof('DIFF-empty-bind',axiom,
! [X1,X3,X16] : vempty != vbind(X1,X3,X16),
file('/export/starexec/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/benchmark/Axioms/COM001+0.ax',lookup0) ).
fof('DIFF-var-app',axiom,
! [X1,X4,X6] : vvar(X1) != vapp(X4,X6),
file('/export/starexec/sandbox2/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/sandbox2/benchmark/Axioms/COM001+0.ax',getSomeExp0) ).
fof(getSomeType0,axiom,
! [X18,X19,X11] :
( X18 = vsomeType(X11)
=> ( X19 = vgetSomeType(X18)
=> X19 = X11 ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/COM001+0.ax',getSomeType0) ).
fof(reduce0,axiom,
! [X9,X4,X19] :
( X4 = vvar(X9)
=> ( X19 = vreduce(X4)
=> X19 = vnoExp ) ),
file('/export/starexec/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/benchmark/Axioms/COM001+0.ax','EQ-var') ).
fof(isSomeExp1,axiom,
! [X11,X25] :
( X25 = vsomeExp(X11)
=> visSomeExp(X25) ),
file('/export/starexec/sandbox2/benchmark/Axioms/COM001+0.ax',isSomeExp1) ).
fof(isSomeType1,axiom,
! [X11,X18] :
( X18 = vsomeType(X11)
=> visSomeType(X18) ),
file('/export/starexec/sandbox2/benchmark/Axioms/COM001+0.ax',isSomeType1) ).
fof('DIFF-noExp-someExp',axiom,
! [X4] : vnoExp != vsomeExp(X4),
file('/export/starexec/sandbox2/benchmark/Axioms/COM001+0.ax','DIFF-noExp-someExp') ).
fof('DIFF-noType-someType',axiom,
! [X3] : vnoType != vsomeType(X3),
file('/export/starexec/sandbox2/benchmark/Axioms/COM001+0.ax','DIFF-noType-someType') ).
fof(i_0_55,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_56,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_57,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_58,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_55]) ).
fof(i_0_59,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_60,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_56]),c_0_57]) ).
fof(i_0_61,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_56]) ).
fof(i_0_62,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_57]) ).
fof(i_0_63,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_64,plain,
! [X677,X678] :
( ( X677 = vapp(vabs(esk70_2(X677,X678),esk68_2(X677,X678),esk72_2(X677,X678)),esk71_2(X677,X678))
| X677 = vapp(vabs(esk64_2(X677,X678),esk65_2(X677,X678),esk66_2(X677,X678)),esk63_2(X677,X678))
| X677 = vabs(esk60_2(X677,X678),esk61_2(X677,X678),esk62_2(X677,X678))
| X677 = vvar(esk59_2(X677,X678))
| ~ epred3_2(X678,X677) )
& ( esk69_2(X677,X678) = vreduce(esk71_2(X677,X678))
| X677 = vapp(vabs(esk64_2(X677,X678),esk65_2(X677,X678),esk66_2(X677,X678)),esk63_2(X677,X678))
| X677 = vabs(esk60_2(X677,X678),esk61_2(X677,X678),esk62_2(X677,X678))
| X677 = vvar(esk59_2(X677,X678))
| ~ epred3_2(X678,X677) )
& ( ~ visSomeExp(esk69_2(X677,X678))
| X677 = vapp(vabs(esk64_2(X677,X678),esk65_2(X677,X678),esk66_2(X677,X678)),esk63_2(X677,X678))
| X677 = vabs(esk60_2(X677,X678),esk61_2(X677,X678),esk62_2(X677,X678))
| X677 = vvar(esk59_2(X677,X678))
| ~ epred3_2(X678,X677) )
& ( visValue(esk71_2(X677,X678))
| X677 = vapp(vabs(esk64_2(X677,X678),esk65_2(X677,X678),esk66_2(X677,X678)),esk63_2(X677,X678))
| X677 = vabs(esk60_2(X677,X678),esk61_2(X677,X678),esk62_2(X677,X678))
| X677 = vvar(esk59_2(X677,X678))
| ~ epred3_2(X678,X677) )
& ( X678 = vsomeExp(vsubst(esk70_2(X677,X678),esk71_2(X677,X678),esk72_2(X677,X678)))
| X677 = vapp(vabs(esk64_2(X677,X678),esk65_2(X677,X678),esk66_2(X677,X678)),esk63_2(X677,X678))
| X677 = vabs(esk60_2(X677,X678),esk61_2(X677,X678),esk62_2(X677,X678))
| X677 = vvar(esk59_2(X677,X678))
| ~ epred3_2(X678,X677) )
& ( X677 = vapp(vabs(esk70_2(X677,X678),esk68_2(X677,X678),esk72_2(X677,X678)),esk71_2(X677,X678))
| esk67_2(X677,X678) = vreduce(esk63_2(X677,X678))
| X677 = vabs(esk60_2(X677,X678),esk61_2(X677,X678),esk62_2(X677,X678))
| X677 = vvar(esk59_2(X677,X678))
| ~ epred3_2(X678,X677) )
& ( esk69_2(X677,X678) = vreduce(esk71_2(X677,X678))
| esk67_2(X677,X678) = vreduce(esk63_2(X677,X678))
| X677 = vabs(esk60_2(X677,X678),esk61_2(X677,X678),esk62_2(X677,X678))
| X677 = vvar(esk59_2(X677,X678))
| ~ epred3_2(X678,X677) )
& ( ~ visSomeExp(esk69_2(X677,X678))
| esk67_2(X677,X678) = vreduce(esk63_2(X677,X678))
| X677 = vabs(esk60_2(X677,X678),esk61_2(X677,X678),esk62_2(X677,X678))
| X677 = vvar(esk59_2(X677,X678))
| ~ epred3_2(X678,X677) )
& ( visValue(esk71_2(X677,X678))
| esk67_2(X677,X678) = vreduce(esk63_2(X677,X678))
| X677 = vabs(esk60_2(X677,X678),esk61_2(X677,X678),esk62_2(X677,X678))
| X677 = vvar(esk59_2(X677,X678))
| ~ epred3_2(X678,X677) )
& ( X678 = vsomeExp(vsubst(esk70_2(X677,X678),esk71_2(X677,X678),esk72_2(X677,X678)))
| esk67_2(X677,X678) = vreduce(esk63_2(X677,X678))
| X677 = vabs(esk60_2(X677,X678),esk61_2(X677,X678),esk62_2(X677,X678))
| X677 = vvar(esk59_2(X677,X678))
| ~ epred3_2(X678,X677) )
& ( X677 = vapp(vabs(esk70_2(X677,X678),esk68_2(X677,X678),esk72_2(X677,X678)),esk71_2(X677,X678))
| visSomeExp(esk67_2(X677,X678))
| X677 = vabs(esk60_2(X677,X678),esk61_2(X677,X678),esk62_2(X677,X678))
| X677 = vvar(esk59_2(X677,X678))
| ~ epred3_2(X678,X677) )
& ( esk69_2(X677,X678) = vreduce(esk71_2(X677,X678))
| visSomeExp(esk67_2(X677,X678))
| X677 = vabs(esk60_2(X677,X678),esk61_2(X677,X678),esk62_2(X677,X678))
| X677 = vvar(esk59_2(X677,X678))
| ~ epred3_2(X678,X677) )
& ( ~ visSomeExp(esk69_2(X677,X678))
| visSomeExp(esk67_2(X677,X678))
| X677 = vabs(esk60_2(X677,X678),esk61_2(X677,X678),esk62_2(X677,X678))
| X677 = vvar(esk59_2(X677,X678))
| ~ epred3_2(X678,X677) )
& ( visValue(esk71_2(X677,X678))
| visSomeExp(esk67_2(X677,X678))
| X677 = vabs(esk60_2(X677,X678),esk61_2(X677,X678),esk62_2(X677,X678))
| X677 = vvar(esk59_2(X677,X678))
| ~ epred3_2(X678,X677) )
& ( X678 = vsomeExp(vsubst(esk70_2(X677,X678),esk71_2(X677,X678),esk72_2(X677,X678)))
| visSomeExp(esk67_2(X677,X678))
| X677 = vabs(esk60_2(X677,X678),esk61_2(X677,X678),esk62_2(X677,X678))
| X677 = vvar(esk59_2(X677,X678))
| ~ epred3_2(X678,X677) )
& ( X677 = vapp(vabs(esk70_2(X677,X678),esk68_2(X677,X678),esk72_2(X677,X678)),esk71_2(X677,X678))
| X678 = vsomeExp(vapp(vabs(esk64_2(X677,X678),esk65_2(X677,X678),esk66_2(X677,X678)),vgetSomeExp(esk67_2(X677,X678))))
| X677 = vabs(esk60_2(X677,X678),esk61_2(X677,X678),esk62_2(X677,X678))
| X677 = vvar(esk59_2(X677,X678))
| ~ epred3_2(X678,X677) )
& ( esk69_2(X677,X678) = vreduce(esk71_2(X677,X678))
| X678 = vsomeExp(vapp(vabs(esk64_2(X677,X678),esk65_2(X677,X678),esk66_2(X677,X678)),vgetSomeExp(esk67_2(X677,X678))))
| X677 = vabs(esk60_2(X677,X678),esk61_2(X677,X678),esk62_2(X677,X678))
| X677 = vvar(esk59_2(X677,X678))
| ~ epred3_2(X678,X677) )
& ( ~ visSomeExp(esk69_2(X677,X678))
| X678 = vsomeExp(vapp(vabs(esk64_2(X677,X678),esk65_2(X677,X678),esk66_2(X677,X678)),vgetSomeExp(esk67_2(X677,X678))))
| X677 = vabs(esk60_2(X677,X678),esk61_2(X677,X678),esk62_2(X677,X678))
| X677 = vvar(esk59_2(X677,X678))
| ~ epred3_2(X678,X677) )
& ( visValue(esk71_2(X677,X678))
| X678 = vsomeExp(vapp(vabs(esk64_2(X677,X678),esk65_2(X677,X678),esk66_2(X677,X678)),vgetSomeExp(esk67_2(X677,X678))))
| X677 = vabs(esk60_2(X677,X678),esk61_2(X677,X678),esk62_2(X677,X678))
| X677 = vvar(esk59_2(X677,X678))
| ~ epred3_2(X678,X677) )
& ( X678 = vsomeExp(vsubst(esk70_2(X677,X678),esk71_2(X677,X678),esk72_2(X677,X678)))
| X678 = vsomeExp(vapp(vabs(esk64_2(X677,X678),esk65_2(X677,X678),esk66_2(X677,X678)),vgetSomeExp(esk67_2(X677,X678))))
| X677 = vabs(esk60_2(X677,X678),esk61_2(X677,X678),esk62_2(X677,X678))
| X677 = vvar(esk59_2(X677,X678))
| ~ epred3_2(X678,X677) )
& ( X677 = vapp(vabs(esk70_2(X677,X678),esk68_2(X677,X678),esk72_2(X677,X678)),esk71_2(X677,X678))
| X677 = vapp(vabs(esk64_2(X677,X678),esk65_2(X677,X678),esk66_2(X677,X678)),esk63_2(X677,X678))
| X678 = vnoExp
| X677 = vvar(esk59_2(X677,X678))
| ~ epred3_2(X678,X677) )
& ( esk69_2(X677,X678) = vreduce(esk71_2(X677,X678))
| X677 = vapp(vabs(esk64_2(X677,X678),esk65_2(X677,X678),esk66_2(X677,X678)),esk63_2(X677,X678))
| X678 = vnoExp
| X677 = vvar(esk59_2(X677,X678))
| ~ epred3_2(X678,X677) )
& ( ~ visSomeExp(esk69_2(X677,X678))
| X677 = vapp(vabs(esk64_2(X677,X678),esk65_2(X677,X678),esk66_2(X677,X678)),esk63_2(X677,X678))
| X678 = vnoExp
| X677 = vvar(esk59_2(X677,X678))
| ~ epred3_2(X678,X677) )
& ( visValue(esk71_2(X677,X678))
| X677 = vapp(vabs(esk64_2(X677,X678),esk65_2(X677,X678),esk66_2(X677,X678)),esk63_2(X677,X678))
| X678 = vnoExp
| X677 = vvar(esk59_2(X677,X678))
| ~ epred3_2(X678,X677) )
& ( X678 = vsomeExp(vsubst(esk70_2(X677,X678),esk71_2(X677,X678),esk72_2(X677,X678)))
| X677 = vapp(vabs(esk64_2(X677,X678),esk65_2(X677,X678),esk66_2(X677,X678)),esk63_2(X677,X678))
| X678 = vnoExp
| X677 = vvar(esk59_2(X677,X678))
| ~ epred3_2(X678,X677) )
& ( X677 = vapp(vabs(esk70_2(X677,X678),esk68_2(X677,X678),esk72_2(X677,X678)),esk71_2(X677,X678))
| esk67_2(X677,X678) = vreduce(esk63_2(X677,X678))
| X678 = vnoExp
| X677 = vvar(esk59_2(X677,X678))
| ~ epred3_2(X678,X677) )
& ( esk69_2(X677,X678) = vreduce(esk71_2(X677,X678))
| esk67_2(X677,X678) = vreduce(esk63_2(X677,X678))
| X678 = vnoExp
| X677 = vvar(esk59_2(X677,X678))
| ~ epred3_2(X678,X677) )
& ( ~ visSomeExp(esk69_2(X677,X678))
| esk67_2(X677,X678) = vreduce(esk63_2(X677,X678))
| X678 = vnoExp
| X677 = vvar(esk59_2(X677,X678))
| ~ epred3_2(X678,X677) )
& ( visValue(esk71_2(X677,X678))
| esk67_2(X677,X678) = vreduce(esk63_2(X677,X678))
| X678 = vnoExp
| X677 = vvar(esk59_2(X677,X678))
| ~ epred3_2(X678,X677) )
& ( X678 = vsomeExp(vsubst(esk70_2(X677,X678),esk71_2(X677,X678),esk72_2(X677,X678)))
| esk67_2(X677,X678) = vreduce(esk63_2(X677,X678))
| X678 = vnoExp
| X677 = vvar(esk59_2(X677,X678))
| ~ epred3_2(X678,X677) )
& ( X677 = vapp(vabs(esk70_2(X677,X678),esk68_2(X677,X678),esk72_2(X677,X678)),esk71_2(X677,X678))
| visSomeExp(esk67_2(X677,X678))
| X678 = vnoExp
| X677 = vvar(esk59_2(X677,X678))
| ~ epred3_2(X678,X677) )
& ( esk69_2(X677,X678) = vreduce(esk71_2(X677,X678))
| visSomeExp(esk67_2(X677,X678))
| X678 = vnoExp
| X677 = vvar(esk59_2(X677,X678))
| ~ epred3_2(X678,X677) )
& ( ~ visSomeExp(esk69_2(X677,X678))
| visSomeExp(esk67_2(X677,X678))
| X678 = vnoExp
| X677 = vvar(esk59_2(X677,X678))
| ~ epred3_2(X678,X677) )
& ( visValue(esk71_2(X677,X678))
| visSomeExp(esk67_2(X677,X678))
| X678 = vnoExp
| X677 = vvar(esk59_2(X677,X678))
| ~ epred3_2(X678,X677) )
& ( X678 = vsomeExp(vsubst(esk70_2(X677,X678),esk71_2(X677,X678),esk72_2(X677,X678)))
| visSomeExp(esk67_2(X677,X678))
| X678 = vnoExp
| X677 = vvar(esk59_2(X677,X678))
| ~ epred3_2(X678,X677) )
& ( X677 = vapp(vabs(esk70_2(X677,X678),esk68_2(X677,X678),esk72_2(X677,X678)),esk71_2(X677,X678))
| X678 = vsomeExp(vapp(vabs(esk64_2(X677,X678),esk65_2(X677,X678),esk66_2(X677,X678)),vgetSomeExp(esk67_2(X677,X678))))
| X678 = vnoExp
| X677 = vvar(esk59_2(X677,X678))
| ~ epred3_2(X678,X677) )
& ( esk69_2(X677,X678) = vreduce(esk71_2(X677,X678))
| X678 = vsomeExp(vapp(vabs(esk64_2(X677,X678),esk65_2(X677,X678),esk66_2(X677,X678)),vgetSomeExp(esk67_2(X677,X678))))
| X678 = vnoExp
| X677 = vvar(esk59_2(X677,X678))
| ~ epred3_2(X678,X677) )
& ( ~ visSomeExp(esk69_2(X677,X678))
| X678 = vsomeExp(vapp(vabs(esk64_2(X677,X678),esk65_2(X677,X678),esk66_2(X677,X678)),vgetSomeExp(esk67_2(X677,X678))))
| X678 = vnoExp
| X677 = vvar(esk59_2(X677,X678))
| ~ epred3_2(X678,X677) )
& ( visValue(esk71_2(X677,X678))
| X678 = vsomeExp(vapp(vabs(esk64_2(X677,X678),esk65_2(X677,X678),esk66_2(X677,X678)),vgetSomeExp(esk67_2(X677,X678))))
| X678 = vnoExp
| X677 = vvar(esk59_2(X677,X678))
| ~ epred3_2(X678,X677) )
& ( X678 = vsomeExp(vsubst(esk70_2(X677,X678),esk71_2(X677,X678),esk72_2(X677,X678)))
| X678 = vsomeExp(vapp(vabs(esk64_2(X677,X678),esk65_2(X677,X678),esk66_2(X677,X678)),vgetSomeExp(esk67_2(X677,X678))))
| X678 = vnoExp
| X677 = vvar(esk59_2(X677,X678))
| ~ epred3_2(X678,X677) )
& ( X677 = vapp(vabs(esk70_2(X677,X678),esk68_2(X677,X678),esk72_2(X677,X678)),esk71_2(X677,X678))
| X677 = vapp(vabs(esk64_2(X677,X678),esk65_2(X677,X678),esk66_2(X677,X678)),esk63_2(X677,X678))
| X677 = vabs(esk60_2(X677,X678),esk61_2(X677,X678),esk62_2(X677,X678))
| X678 = vnoExp
| ~ epred3_2(X678,X677) )
& ( esk69_2(X677,X678) = vreduce(esk71_2(X677,X678))
| X677 = vapp(vabs(esk64_2(X677,X678),esk65_2(X677,X678),esk66_2(X677,X678)),esk63_2(X677,X678))
| X677 = vabs(esk60_2(X677,X678),esk61_2(X677,X678),esk62_2(X677,X678))
| X678 = vnoExp
| ~ epred3_2(X678,X677) )
& ( ~ visSomeExp(esk69_2(X677,X678))
| X677 = vapp(vabs(esk64_2(X677,X678),esk65_2(X677,X678),esk66_2(X677,X678)),esk63_2(X677,X678))
| X677 = vabs(esk60_2(X677,X678),esk61_2(X677,X678),esk62_2(X677,X678))
| X678 = vnoExp
| ~ epred3_2(X678,X677) )
& ( visValue(esk71_2(X677,X678))
| X677 = vapp(vabs(esk64_2(X677,X678),esk65_2(X677,X678),esk66_2(X677,X678)),esk63_2(X677,X678))
| X677 = vabs(esk60_2(X677,X678),esk61_2(X677,X678),esk62_2(X677,X678))
| X678 = vnoExp
| ~ epred3_2(X678,X677) )
& ( X678 = vsomeExp(vsubst(esk70_2(X677,X678),esk71_2(X677,X678),esk72_2(X677,X678)))
| X677 = vapp(vabs(esk64_2(X677,X678),esk65_2(X677,X678),esk66_2(X677,X678)),esk63_2(X677,X678))
| X677 = vabs(esk60_2(X677,X678),esk61_2(X677,X678),esk62_2(X677,X678))
| X678 = vnoExp
| ~ epred3_2(X678,X677) )
& ( X677 = vapp(vabs(esk70_2(X677,X678),esk68_2(X677,X678),esk72_2(X677,X678)),esk71_2(X677,X678))
| esk67_2(X677,X678) = vreduce(esk63_2(X677,X678))
| X677 = vabs(esk60_2(X677,X678),esk61_2(X677,X678),esk62_2(X677,X678))
| X678 = vnoExp
| ~ epred3_2(X678,X677) )
& ( esk69_2(X677,X678) = vreduce(esk71_2(X677,X678))
| esk67_2(X677,X678) = vreduce(esk63_2(X677,X678))
| X677 = vabs(esk60_2(X677,X678),esk61_2(X677,X678),esk62_2(X677,X678))
| X678 = vnoExp
| ~ epred3_2(X678,X677) )
& ( ~ visSomeExp(esk69_2(X677,X678))
| esk67_2(X677,X678) = vreduce(esk63_2(X677,X678))
| X677 = vabs(esk60_2(X677,X678),esk61_2(X677,X678),esk62_2(X677,X678))
| X678 = vnoExp
| ~ epred3_2(X678,X677) )
& ( visValue(esk71_2(X677,X678))
| esk67_2(X677,X678) = vreduce(esk63_2(X677,X678))
| X677 = vabs(esk60_2(X677,X678),esk61_2(X677,X678),esk62_2(X677,X678))
| X678 = vnoExp
| ~ epred3_2(X678,X677) )
& ( X678 = vsomeExp(vsubst(esk70_2(X677,X678),esk71_2(X677,X678),esk72_2(X677,X678)))
| esk67_2(X677,X678) = vreduce(esk63_2(X677,X678))
| X677 = vabs(esk60_2(X677,X678),esk61_2(X677,X678),esk62_2(X677,X678))
| X678 = vnoExp
| ~ epred3_2(X678,X677) )
& ( X677 = vapp(vabs(esk70_2(X677,X678),esk68_2(X677,X678),esk72_2(X677,X678)),esk71_2(X677,X678))
| visSomeExp(esk67_2(X677,X678))
| X677 = vabs(esk60_2(X677,X678),esk61_2(X677,X678),esk62_2(X677,X678))
| X678 = vnoExp
| ~ epred3_2(X678,X677) )
& ( esk69_2(X677,X678) = vreduce(esk71_2(X677,X678))
| visSomeExp(esk67_2(X677,X678))
| X677 = vabs(esk60_2(X677,X678),esk61_2(X677,X678),esk62_2(X677,X678))
| X678 = vnoExp
| ~ epred3_2(X678,X677) )
& ( ~ visSomeExp(esk69_2(X677,X678))
| visSomeExp(esk67_2(X677,X678))
| X677 = vabs(esk60_2(X677,X678),esk61_2(X677,X678),esk62_2(X677,X678))
| X678 = vnoExp
| ~ epred3_2(X678,X677) )
& ( visValue(esk71_2(X677,X678))
| visSomeExp(esk67_2(X677,X678))
| X677 = vabs(esk60_2(X677,X678),esk61_2(X677,X678),esk62_2(X677,X678))
| X678 = vnoExp
| ~ epred3_2(X678,X677) )
& ( X678 = vsomeExp(vsubst(esk70_2(X677,X678),esk71_2(X677,X678),esk72_2(X677,X678)))
| visSomeExp(esk67_2(X677,X678))
| X677 = vabs(esk60_2(X677,X678),esk61_2(X677,X678),esk62_2(X677,X678))
| X678 = vnoExp
| ~ epred3_2(X678,X677) )
& ( X677 = vapp(vabs(esk70_2(X677,X678),esk68_2(X677,X678),esk72_2(X677,X678)),esk71_2(X677,X678))
| X678 = vsomeExp(vapp(vabs(esk64_2(X677,X678),esk65_2(X677,X678),esk66_2(X677,X678)),vgetSomeExp(esk67_2(X677,X678))))
| X677 = vabs(esk60_2(X677,X678),esk61_2(X677,X678),esk62_2(X677,X678))
| X678 = vnoExp
| ~ epred3_2(X678,X677) )
& ( esk69_2(X677,X678) = vreduce(esk71_2(X677,X678))
| X678 = vsomeExp(vapp(vabs(esk64_2(X677,X678),esk65_2(X677,X678),esk66_2(X677,X678)),vgetSomeExp(esk67_2(X677,X678))))
| X677 = vabs(esk60_2(X677,X678),esk61_2(X677,X678),esk62_2(X677,X678))
| X678 = vnoExp
| ~ epred3_2(X678,X677) )
& ( ~ visSomeExp(esk69_2(X677,X678))
| X678 = vsomeExp(vapp(vabs(esk64_2(X677,X678),esk65_2(X677,X678),esk66_2(X677,X678)),vgetSomeExp(esk67_2(X677,X678))))
| X677 = vabs(esk60_2(X677,X678),esk61_2(X677,X678),esk62_2(X677,X678))
| X678 = vnoExp
| ~ epred3_2(X678,X677) )
& ( visValue(esk71_2(X677,X678))
| X678 = vsomeExp(vapp(vabs(esk64_2(X677,X678),esk65_2(X677,X678),esk66_2(X677,X678)),vgetSomeExp(esk67_2(X677,X678))))
| X677 = vabs(esk60_2(X677,X678),esk61_2(X677,X678),esk62_2(X677,X678))
| X678 = vnoExp
| ~ epred3_2(X678,X677) )
& ( X678 = vsomeExp(vsubst(esk70_2(X677,X678),esk71_2(X677,X678),esk72_2(X677,X678)))
| X678 = vsomeExp(vapp(vabs(esk64_2(X677,X678),esk65_2(X677,X678),esk66_2(X677,X678)),vgetSomeExp(esk67_2(X677,X678))))
| X677 = vabs(esk60_2(X677,X678),esk61_2(X677,X678),esk62_2(X677,X678))
| X678 = vnoExp
| ~ epred3_2(X678,X677) )
& ( X677 = vapp(vabs(esk70_2(X677,X678),esk68_2(X677,X678),esk72_2(X677,X678)),esk71_2(X677,X678))
| X677 = vapp(vabs(esk64_2(X677,X678),esk65_2(X677,X678),esk66_2(X677,X678)),esk63_2(X677,X678))
| X678 = vnoExp
| X678 = vnoExp
| ~ epred3_2(X678,X677) )
& ( esk69_2(X677,X678) = vreduce(esk71_2(X677,X678))
| X677 = vapp(vabs(esk64_2(X677,X678),esk65_2(X677,X678),esk66_2(X677,X678)),esk63_2(X677,X678))
| X678 = vnoExp
| X678 = vnoExp
| ~ epred3_2(X678,X677) )
& ( ~ visSomeExp(esk69_2(X677,X678))
| X677 = vapp(vabs(esk64_2(X677,X678),esk65_2(X677,X678),esk66_2(X677,X678)),esk63_2(X677,X678))
| X678 = vnoExp
| X678 = vnoExp
| ~ epred3_2(X678,X677) )
& ( visValue(esk71_2(X677,X678))
| X677 = vapp(vabs(esk64_2(X677,X678),esk65_2(X677,X678),esk66_2(X677,X678)),esk63_2(X677,X678))
| X678 = vnoExp
| X678 = vnoExp
| ~ epred3_2(X678,X677) )
& ( X678 = vsomeExp(vsubst(esk70_2(X677,X678),esk71_2(X677,X678),esk72_2(X677,X678)))
| X677 = vapp(vabs(esk64_2(X677,X678),esk65_2(X677,X678),esk66_2(X677,X678)),esk63_2(X677,X678))
| X678 = vnoExp
| X678 = vnoExp
| ~ epred3_2(X678,X677) )
& ( X677 = vapp(vabs(esk70_2(X677,X678),esk68_2(X677,X678),esk72_2(X677,X678)),esk71_2(X677,X678))
| esk67_2(X677,X678) = vreduce(esk63_2(X677,X678))
| X678 = vnoExp
| X678 = vnoExp
| ~ epred3_2(X678,X677) )
& ( esk69_2(X677,X678) = vreduce(esk71_2(X677,X678))
| esk67_2(X677,X678) = vreduce(esk63_2(X677,X678))
| X678 = vnoExp
| X678 = vnoExp
| ~ epred3_2(X678,X677) )
& ( ~ visSomeExp(esk69_2(X677,X678))
| esk67_2(X677,X678) = vreduce(esk63_2(X677,X678))
| X678 = vnoExp
| X678 = vnoExp
| ~ epred3_2(X678,X677) )
& ( visValue(esk71_2(X677,X678))
| esk67_2(X677,X678) = vreduce(esk63_2(X677,X678))
| X678 = vnoExp
| X678 = vnoExp
| ~ epred3_2(X678,X677) )
& ( X678 = vsomeExp(vsubst(esk70_2(X677,X678),esk71_2(X677,X678),esk72_2(X677,X678)))
| esk67_2(X677,X678) = vreduce(esk63_2(X677,X678))
| X678 = vnoExp
| X678 = vnoExp
| ~ epred3_2(X678,X677) )
& ( X677 = vapp(vabs(esk70_2(X677,X678),esk68_2(X677,X678),esk72_2(X677,X678)),esk71_2(X677,X678))
| visSomeExp(esk67_2(X677,X678))
| X678 = vnoExp
| X678 = vnoExp
| ~ epred3_2(X678,X677) )
& ( esk69_2(X677,X678) = vreduce(esk71_2(X677,X678))
| visSomeExp(esk67_2(X677,X678))
| X678 = vnoExp
| X678 = vnoExp
| ~ epred3_2(X678,X677) )
& ( ~ visSomeExp(esk69_2(X677,X678))
| visSomeExp(esk67_2(X677,X678))
| X678 = vnoExp
| X678 = vnoExp
| ~ epred3_2(X678,X677) )
& ( visValue(esk71_2(X677,X678))
| visSomeExp(esk67_2(X677,X678))
| X678 = vnoExp
| X678 = vnoExp
| ~ epred3_2(X678,X677) )
& ( X678 = vsomeExp(vsubst(esk70_2(X677,X678),esk71_2(X677,X678),esk72_2(X677,X678)))
| visSomeExp(esk67_2(X677,X678))
| X678 = vnoExp
| X678 = vnoExp
| ~ epred3_2(X678,X677) )
& ( X677 = vapp(vabs(esk70_2(X677,X678),esk68_2(X677,X678),esk72_2(X677,X678)),esk71_2(X677,X678))
| X678 = vsomeExp(vapp(vabs(esk64_2(X677,X678),esk65_2(X677,X678),esk66_2(X677,X678)),vgetSomeExp(esk67_2(X677,X678))))
| X678 = vnoExp
| X678 = vnoExp
| ~ epred3_2(X678,X677) )
& ( esk69_2(X677,X678) = vreduce(esk71_2(X677,X678))
| X678 = vsomeExp(vapp(vabs(esk64_2(X677,X678),esk65_2(X677,X678),esk66_2(X677,X678)),vgetSomeExp(esk67_2(X677,X678))))
| X678 = vnoExp
| X678 = vnoExp
| ~ epred3_2(X678,X677) )
& ( ~ visSomeExp(esk69_2(X677,X678))
| X678 = vsomeExp(vapp(vabs(esk64_2(X677,X678),esk65_2(X677,X678),esk66_2(X677,X678)),vgetSomeExp(esk67_2(X677,X678))))
| X678 = vnoExp
| X678 = vnoExp
| ~ epred3_2(X678,X677) )
& ( visValue(esk71_2(X677,X678))
| X678 = vsomeExp(vapp(vabs(esk64_2(X677,X678),esk65_2(X677,X678),esk66_2(X677,X678)),vgetSomeExp(esk67_2(X677,X678))))
| X678 = vnoExp
| X678 = vnoExp
| ~ epred3_2(X678,X677) )
& ( X678 = vsomeExp(vsubst(esk70_2(X677,X678),esk71_2(X677,X678),esk72_2(X677,X678)))
| X678 = vsomeExp(vapp(vabs(esk64_2(X677,X678),esk65_2(X677,X678),esk66_2(X677,X678)),vgetSomeExp(esk67_2(X677,X678))))
| X678 = vnoExp
| X678 = vnoExp
| ~ epred3_2(X678,X677) ) ),
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_58])])])])]) ).
fof(i_0_65,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_59]),c_0_55]) ).
fof(i_0_66,negated_conjecture,
~ ! [X9,X10,X20,X21,X35,X15] :
( ( vlookup(X9,X20) = vnoType
& vtcheck(X20,vabs(X21,X35,veabs),X15) )
=> vtcheck(vbind(X9,X10,X20),vabs(X21,X35,veabs),X15) ),
inference(assume_negation,[status(cth)],['T-Weak-abs']) ).
fof(i_0_67,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_68,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_69,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_70,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_59]) ).
fof(i_0_71,plain,
! [X12,X13,X4] :
( X4 = vapp(X12,X13)
=> ~ visValue(X4) ),
inference(fof_simplification,[status(thm)],[isValue2]) ).
fof(i_0_72,plain,
! [X14,X11] :
( vgensym(X11) = X14
=> ~ visFreeVar(X14,X11) ),
inference(fof_simplification,[status(thm)],['gensym-is-fresh']) ).
fof(i_0_73,plain,
! [X9,X4] :
( X4 = vvar(X9)
=> ~ visValue(X4) ),
inference(fof_simplification,[status(thm)],[isValue1]) ).
fof(i_0_74,plain,
! [X25] :
( X25 = vnoExp
=> ~ visSomeExp(X25) ),
inference(fof_simplification,[status(thm)],[isSomeExp0]) ).
fof(i_0_75,plain,
! [X18] :
( X18 = vnoType
=> ~ visSomeType(X18) ),
inference(fof_simplification,[status(thm)],[isSomeType0]) ).
fof(i_0_76,plain,
! [X658,X659,X660,X661] :
( ( X658 = esk53_4(X658,X659,X660,X661)
| X658 = esk49_4(X658,X659,X660,X661)
| X658 = esk45_4(X658,X659,X660,X661)
| epred1_4(X661,X660,X659,X658)
| ~ epred2_4(X661,X660,X659,X658) )
& ( X659 = esk54_4(X658,X659,X660,X661)
| X658 = esk49_4(X658,X659,X660,X661)
| X658 = esk45_4(X658,X659,X660,X661)
| epred1_4(X661,X660,X659,X658)
| ~ epred2_4(X661,X660,X659,X658) )
& ( X660 = vabs(esk56_4(X658,X659,X660,X661),esk55_4(X658,X659,X660,X661),esk58_4(X658,X659,X660,X661))
| X658 = esk49_4(X658,X659,X660,X661)
| X658 = esk45_4(X658,X659,X660,X661)
| epred1_4(X661,X660,X659,X658)
| ~ epred2_4(X661,X660,X659,X658) )
& ( esk53_4(X658,X659,X660,X661) != esk56_4(X658,X659,X660,X661)
| X658 = esk49_4(X658,X659,X660,X661)
| X658 = esk45_4(X658,X659,X660,X661)
| epred1_4(X661,X660,X659,X658)
| ~ epred2_4(X661,X660,X659,X658) )
& ( visFreeVar(esk56_4(X658,X659,X660,X661),esk54_4(X658,X659,X660,X661))
| X658 = esk49_4(X658,X659,X660,X661)
| X658 = esk45_4(X658,X659,X660,X661)
| epred1_4(X661,X660,X659,X658)
| ~ epred2_4(X661,X660,X659,X658) )
& ( esk57_4(X658,X659,X660,X661) = vgensym(vapp(vapp(esk54_4(X658,X659,X660,X661),esk58_4(X658,X659,X660,X661)),vvar(esk53_4(X658,X659,X660,X661))))
| X658 = esk49_4(X658,X659,X660,X661)
| X658 = esk45_4(X658,X659,X660,X661)
| epred1_4(X661,X660,X659,X658)
| ~ epred2_4(X661,X660,X659,X658) )
& ( X661 = vsubst(esk53_4(X658,X659,X660,X661),esk54_4(X658,X659,X660,X661),vabs(esk57_4(X658,X659,X660,X661),esk55_4(X658,X659,X660,X661),vsubst(esk56_4(X658,X659,X660,X661),vvar(esk57_4(X658,X659,X660,X661)),esk58_4(X658,X659,X660,X661))))
| X658 = esk49_4(X658,X659,X660,X661)
| X658 = esk45_4(X658,X659,X660,X661)
| epred1_4(X661,X660,X659,X658)
| ~ epred2_4(X661,X660,X659,X658) )
& ( X658 = esk53_4(X658,X659,X660,X661)
| X659 = esk48_4(X658,X659,X660,X661)
| X658 = esk45_4(X658,X659,X660,X661)
| epred1_4(X661,X660,X659,X658)
| ~ epred2_4(X661,X660,X659,X658) )
& ( X659 = esk54_4(X658,X659,X660,X661)
| X659 = esk48_4(X658,X659,X660,X661)
| X658 = esk45_4(X658,X659,X660,X661)
| epred1_4(X661,X660,X659,X658)
| ~ epred2_4(X661,X660,X659,X658) )
& ( X660 = vabs(esk56_4(X658,X659,X660,X661),esk55_4(X658,X659,X660,X661),esk58_4(X658,X659,X660,X661))
| X659 = esk48_4(X658,X659,X660,X661)
| X658 = esk45_4(X658,X659,X660,X661)
| epred1_4(X661,X660,X659,X658)
| ~ epred2_4(X661,X660,X659,X658) )
& ( esk53_4(X658,X659,X660,X661) != esk56_4(X658,X659,X660,X661)
| X659 = esk48_4(X658,X659,X660,X661)
| X658 = esk45_4(X658,X659,X660,X661)
| epred1_4(X661,X660,X659,X658)
| ~ epred2_4(X661,X660,X659,X658) )
& ( visFreeVar(esk56_4(X658,X659,X660,X661),esk54_4(X658,X659,X660,X661))
| X659 = esk48_4(X658,X659,X660,X661)
| X658 = esk45_4(X658,X659,X660,X661)
| epred1_4(X661,X660,X659,X658)
| ~ epred2_4(X661,X660,X659,X658) )
& ( esk57_4(X658,X659,X660,X661) = vgensym(vapp(vapp(esk54_4(X658,X659,X660,X661),esk58_4(X658,X659,X660,X661)),vvar(esk53_4(X658,X659,X660,X661))))
| X659 = esk48_4(X658,X659,X660,X661)
| X658 = esk45_4(X658,X659,X660,X661)
| epred1_4(X661,X660,X659,X658)
| ~ epred2_4(X661,X660,X659,X658) )
& ( X661 = vsubst(esk53_4(X658,X659,X660,X661),esk54_4(X658,X659,X660,X661),vabs(esk57_4(X658,X659,X660,X661),esk55_4(X658,X659,X660,X661),vsubst(esk56_4(X658,X659,X660,X661),vvar(esk57_4(X658,X659,X660,X661)),esk58_4(X658,X659,X660,X661))))
| X659 = esk48_4(X658,X659,X660,X661)
| X658 = esk45_4(X658,X659,X660,X661)
| epred1_4(X661,X660,X659,X658)
| ~ epred2_4(X661,X660,X659,X658) )
& ( X658 = esk53_4(X658,X659,X660,X661)
| X660 = vabs(esk50_4(X658,X659,X660,X661),esk51_4(X658,X659,X660,X661),esk52_4(X658,X659,X660,X661))
| X658 = esk45_4(X658,X659,X660,X661)
| epred1_4(X661,X660,X659,X658)
| ~ epred2_4(X661,X660,X659,X658) )
& ( X659 = esk54_4(X658,X659,X660,X661)
| X660 = vabs(esk50_4(X658,X659,X660,X661),esk51_4(X658,X659,X660,X661),esk52_4(X658,X659,X660,X661))
| X658 = esk45_4(X658,X659,X660,X661)
| epred1_4(X661,X660,X659,X658)
| ~ epred2_4(X661,X660,X659,X658) )
& ( X660 = vabs(esk56_4(X658,X659,X660,X661),esk55_4(X658,X659,X660,X661),esk58_4(X658,X659,X660,X661))
| X660 = vabs(esk50_4(X658,X659,X660,X661),esk51_4(X658,X659,X660,X661),esk52_4(X658,X659,X660,X661))
| X658 = esk45_4(X658,X659,X660,X661)
| epred1_4(X661,X660,X659,X658)
| ~ epred2_4(X661,X660,X659,X658) )
& ( esk53_4(X658,X659,X660,X661) != esk56_4(X658,X659,X660,X661)
| X660 = vabs(esk50_4(X658,X659,X660,X661),esk51_4(X658,X659,X660,X661),esk52_4(X658,X659,X660,X661))
| X658 = esk45_4(X658,X659,X660,X661)
| epred1_4(X661,X660,X659,X658)
| ~ epred2_4(X661,X660,X659,X658) )
& ( visFreeVar(esk56_4(X658,X659,X660,X661),esk54_4(X658,X659,X660,X661))
| X660 = vabs(esk50_4(X658,X659,X660,X661),esk51_4(X658,X659,X660,X661),esk52_4(X658,X659,X660,X661))
| X658 = esk45_4(X658,X659,X660,X661)
| epred1_4(X661,X660,X659,X658)
| ~ epred2_4(X661,X660,X659,X658) )
& ( esk57_4(X658,X659,X660,X661) = vgensym(vapp(vapp(esk54_4(X658,X659,X660,X661),esk58_4(X658,X659,X660,X661)),vvar(esk53_4(X658,X659,X660,X661))))
| X660 = vabs(esk50_4(X658,X659,X660,X661),esk51_4(X658,X659,X660,X661),esk52_4(X658,X659,X660,X661))
| X658 = esk45_4(X658,X659,X660,X661)
| epred1_4(X661,X660,X659,X658)
| ~ epred2_4(X661,X660,X659,X658) )
& ( X661 = vsubst(esk53_4(X658,X659,X660,X661),esk54_4(X658,X659,X660,X661),vabs(esk57_4(X658,X659,X660,X661),esk55_4(X658,X659,X660,X661),vsubst(esk56_4(X658,X659,X660,X661),vvar(esk57_4(X658,X659,X660,X661)),esk58_4(X658,X659,X660,X661))))
| X660 = vabs(esk50_4(X658,X659,X660,X661),esk51_4(X658,X659,X660,X661),esk52_4(X658,X659,X660,X661))
| X658 = esk45_4(X658,X659,X660,X661)
| epred1_4(X661,X660,X659,X658)
| ~ epred2_4(X661,X660,X659,X658) )
& ( X658 = esk53_4(X658,X659,X660,X661)
| esk49_4(X658,X659,X660,X661) = esk50_4(X658,X659,X660,X661)
| X658 = esk45_4(X658,X659,X660,X661)
| epred1_4(X661,X660,X659,X658)
| ~ epred2_4(X661,X660,X659,X658) )
& ( X659 = esk54_4(X658,X659,X660,X661)
| esk49_4(X658,X659,X660,X661) = esk50_4(X658,X659,X660,X661)
| X658 = esk45_4(X658,X659,X660,X661)
| epred1_4(X661,X660,X659,X658)
| ~ epred2_4(X661,X660,X659,X658) )
& ( X660 = vabs(esk56_4(X658,X659,X660,X661),esk55_4(X658,X659,X660,X661),esk58_4(X658,X659,X660,X661))
| esk49_4(X658,X659,X660,X661) = esk50_4(X658,X659,X660,X661)
| X658 = esk45_4(X658,X659,X660,X661)
| epred1_4(X661,X660,X659,X658)
| ~ epred2_4(X661,X660,X659,X658) )
& ( esk53_4(X658,X659,X660,X661) != esk56_4(X658,X659,X660,X661)
| esk49_4(X658,X659,X660,X661) = esk50_4(X658,X659,X660,X661)
| X658 = esk45_4(X658,X659,X660,X661)
| epred1_4(X661,X660,X659,X658)
| ~ epred2_4(X661,X660,X659,X658) )
& ( visFreeVar(esk56_4(X658,X659,X660,X661),esk54_4(X658,X659,X660,X661))
| esk49_4(X658,X659,X660,X661) = esk50_4(X658,X659,X660,X661)
| X658 = esk45_4(X658,X659,X660,X661)
| epred1_4(X661,X660,X659,X658)
| ~ epred2_4(X661,X660,X659,X658) )
& ( esk57_4(X658,X659,X660,X661) = vgensym(vapp(vapp(esk54_4(X658,X659,X660,X661),esk58_4(X658,X659,X660,X661)),vvar(esk53_4(X658,X659,X660,X661))))
| esk49_4(X658,X659,X660,X661) = esk50_4(X658,X659,X660,X661)
| X658 = esk45_4(X658,X659,X660,X661)
| epred1_4(X661,X660,X659,X658)
| ~ epred2_4(X661,X660,X659,X658) )
& ( X661 = vsubst(esk53_4(X658,X659,X660,X661),esk54_4(X658,X659,X660,X661),vabs(esk57_4(X658,X659,X660,X661),esk55_4(X658,X659,X660,X661),vsubst(esk56_4(X658,X659,X660,X661),vvar(esk57_4(X658,X659,X660,X661)),esk58_4(X658,X659,X660,X661))))
| esk49_4(X658,X659,X660,X661) = esk50_4(X658,X659,X660,X661)
| X658 = esk45_4(X658,X659,X660,X661)
| epred1_4(X661,X660,X659,X658)
| ~ epred2_4(X661,X660,X659,X658) )
& ( X658 = esk53_4(X658,X659,X660,X661)
| X661 = vabs(esk50_4(X658,X659,X660,X661),esk51_4(X658,X659,X660,X661),esk52_4(X658,X659,X660,X661))
| X658 = esk45_4(X658,X659,X660,X661)
| epred1_4(X661,X660,X659,X658)
| ~ epred2_4(X661,X660,X659,X658) )
& ( X659 = esk54_4(X658,X659,X660,X661)
| X661 = vabs(esk50_4(X658,X659,X660,X661),esk51_4(X658,X659,X660,X661),esk52_4(X658,X659,X660,X661))
| X658 = esk45_4(X658,X659,X660,X661)
| epred1_4(X661,X660,X659,X658)
| ~ epred2_4(X661,X660,X659,X658) )
& ( X660 = vabs(esk56_4(X658,X659,X660,X661),esk55_4(X658,X659,X660,X661),esk58_4(X658,X659,X660,X661))
| X661 = vabs(esk50_4(X658,X659,X660,X661),esk51_4(X658,X659,X660,X661),esk52_4(X658,X659,X660,X661))
| X658 = esk45_4(X658,X659,X660,X661)
| epred1_4(X661,X660,X659,X658)
| ~ epred2_4(X661,X660,X659,X658) )
& ( esk53_4(X658,X659,X660,X661) != esk56_4(X658,X659,X660,X661)
| X661 = vabs(esk50_4(X658,X659,X660,X661),esk51_4(X658,X659,X660,X661),esk52_4(X658,X659,X660,X661))
| X658 = esk45_4(X658,X659,X660,X661)
| epred1_4(X661,X660,X659,X658)
| ~ epred2_4(X661,X660,X659,X658) )
& ( visFreeVar(esk56_4(X658,X659,X660,X661),esk54_4(X658,X659,X660,X661))
| X661 = vabs(esk50_4(X658,X659,X660,X661),esk51_4(X658,X659,X660,X661),esk52_4(X658,X659,X660,X661))
| X658 = esk45_4(X658,X659,X660,X661)
| epred1_4(X661,X660,X659,X658)
| ~ epred2_4(X661,X660,X659,X658) )
& ( esk57_4(X658,X659,X660,X661) = vgensym(vapp(vapp(esk54_4(X658,X659,X660,X661),esk58_4(X658,X659,X660,X661)),vvar(esk53_4(X658,X659,X660,X661))))
| X661 = vabs(esk50_4(X658,X659,X660,X661),esk51_4(X658,X659,X660,X661),esk52_4(X658,X659,X660,X661))
| X658 = esk45_4(X658,X659,X660,X661)
| epred1_4(X661,X660,X659,X658)
| ~ epred2_4(X661,X660,X659,X658) )
& ( X661 = vsubst(esk53_4(X658,X659,X660,X661),esk54_4(X658,X659,X660,X661),vabs(esk57_4(X658,X659,X660,X661),esk55_4(X658,X659,X660,X661),vsubst(esk56_4(X658,X659,X660,X661),vvar(esk57_4(X658,X659,X660,X661)),esk58_4(X658,X659,X660,X661))))
| X661 = vabs(esk50_4(X658,X659,X660,X661),esk51_4(X658,X659,X660,X661),esk52_4(X658,X659,X660,X661))
| X658 = esk45_4(X658,X659,X660,X661)
| epred1_4(X661,X660,X659,X658)
| ~ epred2_4(X661,X660,X659,X658) )
& ( X658 = esk53_4(X658,X659,X660,X661)
| X658 = esk49_4(X658,X659,X660,X661)
| X659 = esk46_4(X658,X659,X660,X661)
| epred1_4(X661,X660,X659,X658)
| ~ epred2_4(X661,X660,X659,X658) )
& ( X659 = esk54_4(X658,X659,X660,X661)
| X658 = esk49_4(X658,X659,X660,X661)
| X659 = esk46_4(X658,X659,X660,X661)
| epred1_4(X661,X660,X659,X658)
| ~ epred2_4(X661,X660,X659,X658) )
& ( X660 = vabs(esk56_4(X658,X659,X660,X661),esk55_4(X658,X659,X660,X661),esk58_4(X658,X659,X660,X661))
| X658 = esk49_4(X658,X659,X660,X661)
| X659 = esk46_4(X658,X659,X660,X661)
| epred1_4(X661,X660,X659,X658)
| ~ epred2_4(X661,X660,X659,X658) )
& ( esk53_4(X658,X659,X660,X661) != esk56_4(X658,X659,X660,X661)
| X658 = esk49_4(X658,X659,X660,X661)
| X659 = esk46_4(X658,X659,X660,X661)
| epred1_4(X661,X660,X659,X658)
| ~ epred2_4(X661,X660,X659,X658) )
& ( visFreeVar(esk56_4(X658,X659,X660,X661),esk54_4(X658,X659,X660,X661))
| X658 = esk49_4(X658,X659,X660,X661)
| X659 = esk46_4(X658,X659,X660,X661)
| epred1_4(X661,X660,X659,X658)
| ~ epred2_4(X661,X660,X659,X658) )
& ( esk57_4(X658,X659,X660,X661) = vgensym(vapp(vapp(esk54_4(X658,X659,X660,X661),esk58_4(X658,X659,X660,X661)),vvar(esk53_4(X658,X659,X660,X661))))
| X658 = esk49_4(X658,X659,X660,X661)
| X659 = esk46_4(X658,X659,X660,X661)
| epred1_4(X661,X660,X659,X658)
| ~ epred2_4(X661,X660,X659,X658) )
& ( X661 = vsubst(esk53_4(X658,X659,X660,X661),esk54_4(X658,X659,X660,X661),vabs(esk57_4(X658,X659,X660,X661),esk55_4(X658,X659,X660,X661),vsubst(esk56_4(X658,X659,X660,X661),vvar(esk57_4(X658,X659,X660,X661)),esk58_4(X658,X659,X660,X661))))
| X658 = esk49_4(X658,X659,X660,X661)
| X659 = esk46_4(X658,X659,X660,X661)
| epred1_4(X661,X660,X659,X658)
| ~ epred2_4(X661,X660,X659,X658) )
& ( X658 = esk53_4(X658,X659,X660,X661)
| X659 = esk48_4(X658,X659,X660,X661)
| X659 = esk46_4(X658,X659,X660,X661)
| epred1_4(X661,X660,X659,X658)
| ~ epred2_4(X661,X660,X659,X658) )
& ( X659 = esk54_4(X658,X659,X660,X661)
| X659 = esk48_4(X658,X659,X660,X661)
| X659 = esk46_4(X658,X659,X660,X661)
| epred1_4(X661,X660,X659,X658)
| ~ epred2_4(X661,X660,X659,X658) )
& ( X660 = vabs(esk56_4(X658,X659,X660,X661),esk55_4(X658,X659,X660,X661),esk58_4(X658,X659,X660,X661))
| X659 = esk48_4(X658,X659,X660,X661)
| X659 = esk46_4(X658,X659,X660,X661)
| epred1_4(X661,X660,X659,X658)
| ~ epred2_4(X661,X660,X659,X658) )
& ( esk53_4(X658,X659,X660,X661) != esk56_4(X658,X659,X660,X661)
| X659 = esk48_4(X658,X659,X660,X661)
| X659 = esk46_4(X658,X659,X660,X661)
| epred1_4(X661,X660,X659,X658)
| ~ epred2_4(X661,X660,X659,X658) )
& ( visFreeVar(esk56_4(X658,X659,X660,X661),esk54_4(X658,X659,X660,X661))
| X659 = esk48_4(X658,X659,X660,X661)
| X659 = esk46_4(X658,X659,X660,X661)
| epred1_4(X661,X660,X659,X658)
| ~ epred2_4(X661,X660,X659,X658) )
& ( esk57_4(X658,X659,X660,X661) = vgensym(vapp(vapp(esk54_4(X658,X659,X660,X661),esk58_4(X658,X659,X660,X661)),vvar(esk53_4(X658,X659,X660,X661))))
| X659 = esk48_4(X658,X659,X660,X661)
| X659 = esk46_4(X658,X659,X660,X661)
| epred1_4(X661,X660,X659,X658)
| ~ epred2_4(X661,X660,X659,X658) )
& ( X661 = vsubst(esk53_4(X658,X659,X660,X661),esk54_4(X658,X659,X660,X661),vabs(esk57_4(X658,X659,X660,X661),esk55_4(X658,X659,X660,X661),vsubst(esk56_4(X658,X659,X660,X661),vvar(esk57_4(X658,X659,X660,X661)),esk58_4(X658,X659,X660,X661))))
| X659 = esk48_4(X658,X659,X660,X661)
| X659 = esk46_4(X658,X659,X660,X661)
| epred1_4(X661,X660,X659,X658)
| ~ epred2_4(X661,X660,X659,X658) )
& ( X658 = esk53_4(X658,X659,X660,X661)
| X660 = vabs(esk50_4(X658,X659,X660,X661),esk51_4(X658,X659,X660,X661),esk52_4(X658,X659,X660,X661))
| X659 = esk46_4(X658,X659,X660,X661)
| epred1_4(X661,X660,X659,X658)
| ~ epred2_4(X661,X660,X659,X658) )
& ( X659 = esk54_4(X658,X659,X660,X661)
| X660 = vabs(esk50_4(X658,X659,X660,X661),esk51_4(X658,X659,X660,X661),esk52_4(X658,X659,X660,X661))
| X659 = esk46_4(X658,X659,X660,X661)
| epred1_4(X661,X660,X659,X658)
| ~ epred2_4(X661,X660,X659,X658) )
& ( X660 = vabs(esk56_4(X658,X659,X660,X661),esk55_4(X658,X659,X660,X661),esk58_4(X658,X659,X660,X661))
| X660 = vabs(esk50_4(X658,X659,X660,X661),esk51_4(X658,X659,X660,X661),esk52_4(X658,X659,X660,X661))
| X659 = esk46_4(X658,X659,X660,X661)
| epred1_4(X661,X660,X659,X658)
| ~ epred2_4(X661,X660,X659,X658) )
& ( esk53_4(X658,X659,X660,X661) != esk56_4(X658,X659,X660,X661)
| X660 = vabs(esk50_4(X658,X659,X660,X661),esk51_4(X658,X659,X660,X661),esk52_4(X658,X659,X660,X661))
| X659 = esk46_4(X658,X659,X660,X661)
| epred1_4(X661,X660,X659,X658)
| ~ epred2_4(X661,X660,X659,X658) )
& ( visFreeVar(esk56_4(X658,X659,X660,X661),esk54_4(X658,X659,X660,X661))
| X660 = vabs(esk50_4(X658,X659,X660,X661),esk51_4(X658,X659,X660,X661),esk52_4(X658,X659,X660,X661))
| X659 = esk46_4(X658,X659,X660,X661)
| epred1_4(X661,X660,X659,X658)
| ~ epred2_4(X661,X660,X659,X658) )
& ( esk57_4(X658,X659,X660,X661) = vgensym(vapp(vapp(esk54_4(X658,X659,X660,X661),esk58_4(X658,X659,X660,X661)),vvar(esk53_4(X658,X659,X660,X661))))
| X660 = vabs(esk50_4(X658,X659,X660,X661),esk51_4(X658,X659,X660,X661),esk52_4(X658,X659,X660,X661))
| X659 = esk46_4(X658,X659,X660,X661)
| epred1_4(X661,X660,X659,X658)
| ~ epred2_4(X661,X660,X659,X658) )
& ( X661 = vsubst(esk53_4(X658,X659,X660,X661),esk54_4(X658,X659,X660,X661),vabs(esk57_4(X658,X659,X660,X661),esk55_4(X658,X659,X660,X661),vsubst(esk56_4(X658,X659,X660,X661),vvar(esk57_4(X658,X659,X660,X661)),esk58_4(X658,X659,X660,X661))))
| X660 = vabs(esk50_4(X658,X659,X660,X661),esk51_4(X658,X659,X660,X661),esk52_4(X658,X659,X660,X661))
| X659 = esk46_4(X658,X659,X660,X661)
| epred1_4(X661,X660,X659,X658)
| ~ epred2_4(X661,X660,X659,X658) )
& ( X658 = esk53_4(X658,X659,X660,X661)
| esk49_4(X658,X659,X660,X661) = esk50_4(X658,X659,X660,X661)
| X659 = esk46_4(X658,X659,X660,X661)
| epred1_4(X661,X660,X659,X658)
| ~ epred2_4(X661,X660,X659,X658) )
& ( X659 = esk54_4(X658,X659,X660,X661)
| esk49_4(X658,X659,X660,X661) = esk50_4(X658,X659,X660,X661)
| X659 = esk46_4(X658,X659,X660,X661)
| epred1_4(X661,X660,X659,X658)
| ~ epred2_4(X661,X660,X659,X658) )
& ( X660 = vabs(esk56_4(X658,X659,X660,X661),esk55_4(X658,X659,X660,X661),esk58_4(X658,X659,X660,X661))
| esk49_4(X658,X659,X660,X661) = esk50_4(X658,X659,X660,X661)
| X659 = esk46_4(X658,X659,X660,X661)
| epred1_4(X661,X660,X659,X658)
| ~ epred2_4(X661,X660,X659,X658) )
& ( esk53_4(X658,X659,X660,X661) != esk56_4(X658,X659,X660,X661)
| esk49_4(X658,X659,X660,X661) = esk50_4(X658,X659,X660,X661)
| X659 = esk46_4(X658,X659,X660,X661)
| epred1_4(X661,X660,X659,X658)
| ~ epred2_4(X661,X660,X659,X658) )
& ( visFreeVar(esk56_4(X658,X659,X660,X661),esk54_4(X658,X659,X660,X661))
| esk49_4(X658,X659,X660,X661) = esk50_4(X658,X659,X660,X661)
| X659 = esk46_4(X658,X659,X660,X661)
| epred1_4(X661,X660,X659,X658)
| ~ epred2_4(X661,X660,X659,X658) )
& ( esk57_4(X658,X659,X660,X661) = vgensym(vapp(vapp(esk54_4(X658,X659,X660,X661),esk58_4(X658,X659,X660,X661)),vvar(esk53_4(X658,X659,X660,X661))))
| esk49_4(X658,X659,X660,X661) = esk50_4(X658,X659,X660,X661)
| X659 = esk46_4(X658,X659,X660,X661)
| epred1_4(X661,X660,X659,X658)
| ~ epred2_4(X661,X660,X659,X658) )
& ( X661 = vsubst(esk53_4(X658,X659,X660,X661),esk54_4(X658,X659,X660,X661),vabs(esk57_4(X658,X659,X660,X661),esk55_4(X658,X659,X660,X661),vsubst(esk56_4(X658,X659,X660,X661),vvar(esk57_4(X658,X659,X660,X661)),esk58_4(X658,X659,X660,X661))))
| esk49_4(X658,X659,X660,X661) = esk50_4(X658,X659,X660,X661)
| X659 = esk46_4(X658,X659,X660,X661)
| epred1_4(X661,X660,X659,X658)
| ~ epred2_4(X661,X660,X659,X658) )
& ( X658 = esk53_4(X658,X659,X660,X661)
| X661 = vabs(esk50_4(X658,X659,X660,X661),esk51_4(X658,X659,X660,X661),esk52_4(X658,X659,X660,X661))
| X659 = esk46_4(X658,X659,X660,X661)
| epred1_4(X661,X660,X659,X658)
| ~ epred2_4(X661,X660,X659,X658) )
& ( X659 = esk54_4(X658,X659,X660,X661)
| X661 = vabs(esk50_4(X658,X659,X660,X661),esk51_4(X658,X659,X660,X661),esk52_4(X658,X659,X660,X661))
| X659 = esk46_4(X658,X659,X660,X661)
| epred1_4(X661,X660,X659,X658)
| ~ epred2_4(X661,X660,X659,X658) )
& ( X660 = vabs(esk56_4(X658,X659,X660,X661),esk55_4(X658,X659,X660,X661),esk58_4(X658,X659,X660,X661))
| X661 = vabs(esk50_4(X658,X659,X660,X661),esk51_4(X658,X659,X660,X661),esk52_4(X658,X659,X660,X661))
| X659 = esk46_4(X658,X659,X660,X661)
| epred1_4(X661,X660,X659,X658)
| ~ epred2_4(X661,X660,X659,X658) )
& ( esk53_4(X658,X659,X660,X661) != esk56_4(X658,X659,X660,X661)
| X661 = vabs(esk50_4(X658,X659,X660,X661),esk51_4(X658,X659,X660,X661),esk52_4(X658,X659,X660,X661))
| X659 = esk46_4(X658,X659,X660,X661)
| epred1_4(X661,X660,X659,X658)
| ~ epred2_4(X661,X660,X659,X658) )
& ( visFreeVar(esk56_4(X658,X659,X660,X661),esk54_4(X658,X659,X660,X661))
| X661 = vabs(esk50_4(X658,X659,X660,X661),esk51_4(X658,X659,X660,X661),esk52_4(X658,X659,X660,X661))
| X659 = esk46_4(X658,X659,X660,X661)
| epred1_4(X661,X660,X659,X658)
| ~ epred2_4(X661,X660,X659,X658) )
& ( esk57_4(X658,X659,X660,X661) = vgensym(vapp(vapp(esk54_4(X658,X659,X660,X661),esk58_4(X658,X659,X660,X661)),vvar(esk53_4(X658,X659,X660,X661))))
| X661 = vabs(esk50_4(X658,X659,X660,X661),esk51_4(X658,X659,X660,X661),esk52_4(X658,X659,X660,X661))
| X659 = esk46_4(X658,X659,X660,X661)
| epred1_4(X661,X660,X659,X658)
| ~ epred2_4(X661,X660,X659,X658) )
& ( X661 = vsubst(esk53_4(X658,X659,X660,X661),esk54_4(X658,X659,X660,X661),vabs(esk57_4(X658,X659,X660,X661),esk55_4(X658,X659,X660,X661),vsubst(esk56_4(X658,X659,X660,X661),vvar(esk57_4(X658,X659,X660,X661)),esk58_4(X658,X659,X660,X661))))
| X661 = vabs(esk50_4(X658,X659,X660,X661),esk51_4(X658,X659,X660,X661),esk52_4(X658,X659,X660,X661))
| X659 = esk46_4(X658,X659,X660,X661)
| epred1_4(X661,X660,X659,X658)
| ~ epred2_4(X661,X660,X659,X658) )
& ( X658 = esk53_4(X658,X659,X660,X661)
| X658 = esk49_4(X658,X659,X660,X661)
| X660 = vapp(esk44_4(X658,X659,X660,X661),esk47_4(X658,X659,X660,X661))
| epred1_4(X661,X660,X659,X658)
| ~ epred2_4(X661,X660,X659,X658) )
& ( X659 = esk54_4(X658,X659,X660,X661)
| X658 = esk49_4(X658,X659,X660,X661)
| X660 = vapp(esk44_4(X658,X659,X660,X661),esk47_4(X658,X659,X660,X661))
| epred1_4(X661,X660,X659,X658)
| ~ epred2_4(X661,X660,X659,X658) )
& ( X660 = vabs(esk56_4(X658,X659,X660,X661),esk55_4(X658,X659,X660,X661),esk58_4(X658,X659,X660,X661))
| X658 = esk49_4(X658,X659,X660,X661)
| X660 = vapp(esk44_4(X658,X659,X660,X661),esk47_4(X658,X659,X660,X661))
| epred1_4(X661,X660,X659,X658)
| ~ epred2_4(X661,X660,X659,X658) )
& ( esk53_4(X658,X659,X660,X661) != esk56_4(X658,X659,X660,X661)
| X658 = esk49_4(X658,X659,X660,X661)
| X660 = vapp(esk44_4(X658,X659,X660,X661),esk47_4(X658,X659,X660,X661))
| epred1_4(X661,X660,X659,X658)
| ~ epred2_4(X661,X660,X659,X658) )
& ( visFreeVar(esk56_4(X658,X659,X660,X661),esk54_4(X658,X659,X660,X661))
| X658 = esk49_4(X658,X659,X660,X661)
| X660 = vapp(esk44_4(X658,X659,X660,X661),esk47_4(X658,X659,X660,X661))
| epred1_4(X661,X660,X659,X658)
| ~ epred2_4(X661,X660,X659,X658) )
& ( esk57_4(X658,X659,X660,X661) = vgensym(vapp(vapp(esk54_4(X658,X659,X660,X661),esk58_4(X658,X659,X660,X661)),vvar(esk53_4(X658,X659,X660,X661))))
| X658 = esk49_4(X658,X659,X660,X661)
| X660 = vapp(esk44_4(X658,X659,X660,X661),esk47_4(X658,X659,X660,X661))
| epred1_4(X661,X660,X659,X658)
| ~ epred2_4(X661,X660,X659,X658) )
& ( X661 = vsubst(esk53_4(X658,X659,X660,X661),esk54_4(X658,X659,X660,X661),vabs(esk57_4(X658,X659,X660,X661),esk55_4(X658,X659,X660,X661),vsubst(esk56_4(X658,X659,X660,X661),vvar(esk57_4(X658,X659,X660,X661)),esk58_4(X658,X659,X660,X661))))
| X658 = esk49_4(X658,X659,X660,X661)
| X660 = vapp(esk44_4(X658,X659,X660,X661),esk47_4(X658,X659,X660,X661))
| epred1_4(X661,X660,X659,X658)
| ~ epred2_4(X661,X660,X659,X658) )
& ( X658 = esk53_4(X658,X659,X660,X661)
| X659 = esk48_4(X658,X659,X660,X661)
| X660 = vapp(esk44_4(X658,X659,X660,X661),esk47_4(X658,X659,X660,X661))
| epred1_4(X661,X660,X659,X658)
| ~ epred2_4(X661,X660,X659,X658) )
& ( X659 = esk54_4(X658,X659,X660,X661)
| X659 = esk48_4(X658,X659,X660,X661)
| X660 = vapp(esk44_4(X658,X659,X660,X661),esk47_4(X658,X659,X660,X661))
| epred1_4(X661,X660,X659,X658)
| ~ epred2_4(X661,X660,X659,X658) )
& ( X660 = vabs(esk56_4(X658,X659,X660,X661),esk55_4(X658,X659,X660,X661),esk58_4(X658,X659,X660,X661))
| X659 = esk48_4(X658,X659,X660,X661)
| X660 = vapp(esk44_4(X658,X659,X660,X661),esk47_4(X658,X659,X660,X661))
| epred1_4(X661,X660,X659,X658)
| ~ epred2_4(X661,X660,X659,X658) )
& ( esk53_4(X658,X659,X660,X661) != esk56_4(X658,X659,X660,X661)
| X659 = esk48_4(X658,X659,X660,X661)
| X660 = vapp(esk44_4(X658,X659,X660,X661),esk47_4(X658,X659,X660,X661))
| epred1_4(X661,X660,X659,X658)
| ~ epred2_4(X661,X660,X659,X658) )
& ( visFreeVar(esk56_4(X658,X659,X660,X661),esk54_4(X658,X659,X660,X661))
| X659 = esk48_4(X658,X659,X660,X661)
| X660 = vapp(esk44_4(X658,X659,X660,X661),esk47_4(X658,X659,X660,X661))
| epred1_4(X661,X660,X659,X658)
| ~ epred2_4(X661,X660,X659,X658) )
& ( esk57_4(X658,X659,X660,X661) = vgensym(vapp(vapp(esk54_4(X658,X659,X660,X661),esk58_4(X658,X659,X660,X661)),vvar(esk53_4(X658,X659,X660,X661))))
| X659 = esk48_4(X658,X659,X660,X661)
| X660 = vapp(esk44_4(X658,X659,X660,X661),esk47_4(X658,X659,X660,X661))
| epred1_4(X661,X660,X659,X658)
| ~ epred2_4(X661,X660,X659,X658) )
& ( X661 = vsubst(esk53_4(X658,X659,X660,X661),esk54_4(X658,X659,X660,X661),vabs(esk57_4(X658,X659,X660,X661),esk55_4(X658,X659,X660,X661),vsubst(esk56_4(X658,X659,X660,X661),vvar(esk57_4(X658,X659,X660,X661)),esk58_4(X658,X659,X660,X661))))
| X659 = esk48_4(X658,X659,X660,X661)
| X660 = vapp(esk44_4(X658,X659,X660,X661),esk47_4(X658,X659,X660,X661))
| epred1_4(X661,X660,X659,X658)
| ~ epred2_4(X661,X660,X659,X658) )
& ( X658 = esk53_4(X658,X659,X660,X661)
| X660 = vabs(esk50_4(X658,X659,X660,X661),esk51_4(X658,X659,X660,X661),esk52_4(X658,X659,X660,X661))
| X660 = vapp(esk44_4(X658,X659,X660,X661),esk47_4(X658,X659,X660,X661))
| epred1_4(X661,X660,X659,X658)
| ~ epred2_4(X661,X660,X659,X658) )
& ( X659 = esk54_4(X658,X659,X660,X661)
| X660 = vabs(esk50_4(X658,X659,X660,X661),esk51_4(X658,X659,X660,X661),esk52_4(X658,X659,X660,X661))
| X660 = vapp(esk44_4(X658,X659,X660,X661),esk47_4(X658,X659,X660,X661))
| epred1_4(X661,X660,X659,X658)
| ~ epred2_4(X661,X660,X659,X658) )
& ( X660 = vabs(esk56_4(X658,X659,X660,X661),esk55_4(X658,X659,X660,X661),esk58_4(X658,X659,X660,X661))
| X660 = vabs(esk50_4(X658,X659,X660,X661),esk51_4(X658,X659,X660,X661),esk52_4(X658,X659,X660,X661))
| X660 = vapp(esk44_4(X658,X659,X660,X661),esk47_4(X658,X659,X660,X661))
| epred1_4(X661,X660,X659,X658)
| ~ epred2_4(X661,X660,X659,X658) )
& ( esk53_4(X658,X659,X660,X661) != esk56_4(X658,X659,X660,X661)
| X660 = vabs(esk50_4(X658,X659,X660,X661),esk51_4(X658,X659,X660,X661),esk52_4(X658,X659,X660,X661))
| X660 = vapp(esk44_4(X658,X659,X660,X661),esk47_4(X658,X659,X660,X661))
| epred1_4(X661,X660,X659,X658)
| ~ epred2_4(X661,X660,X659,X658) )
& ( visFreeVar(esk56_4(X658,X659,X660,X661),esk54_4(X658,X659,X660,X661))
| X660 = vabs(esk50_4(X658,X659,X660,X661),esk51_4(X658,X659,X660,X661),esk52_4(X658,X659,X660,X661))
| X660 = vapp(esk44_4(X658,X659,X660,X661),esk47_4(X658,X659,X660,X661))
| epred1_4(X661,X660,X659,X658)
| ~ epred2_4(X661,X660,X659,X658) )
& ( esk57_4(X658,X659,X660,X661) = vgensym(vapp(vapp(esk54_4(X658,X659,X660,X661),esk58_4(X658,X659,X660,X661)),vvar(esk53_4(X658,X659,X660,X661))))
| X660 = vabs(esk50_4(X658,X659,X660,X661),esk51_4(X658,X659,X660,X661),esk52_4(X658,X659,X660,X661))
| X660 = vapp(esk44_4(X658,X659,X660,X661),esk47_4(X658,X659,X660,X661))
| epred1_4(X661,X660,X659,X658)
| ~ epred2_4(X661,X660,X659,X658) )
& ( X661 = vsubst(esk53_4(X658,X659,X660,X661),esk54_4(X658,X659,X660,X661),vabs(esk57_4(X658,X659,X660,X661),esk55_4(X658,X659,X660,X661),vsubst(esk56_4(X658,X659,X660,X661),vvar(esk57_4(X658,X659,X660,X661)),esk58_4(X658,X659,X660,X661))))
| X660 = vabs(esk50_4(X658,X659,X660,X661),esk51_4(X658,X659,X660,X661),esk52_4(X658,X659,X660,X661))
| X660 = vapp(esk44_4(X658,X659,X660,X661),esk47_4(X658,X659,X660,X661))
| epred1_4(X661,X660,X659,X658)
| ~ epred2_4(X661,X660,X659,X658) )
& ( X658 = esk53_4(X658,X659,X660,X661)
| esk49_4(X658,X659,X660,X661) = esk50_4(X658,X659,X660,X661)
| X660 = vapp(esk44_4(X658,X659,X660,X661),esk47_4(X658,X659,X660,X661))
| epred1_4(X661,X660,X659,X658)
| ~ epred2_4(X661,X660,X659,X658) )
& ( X659 = esk54_4(X658,X659,X660,X661)
| esk49_4(X658,X659,X660,X661) = esk50_4(X658,X659,X660,X661)
| X660 = vapp(esk44_4(X658,X659,X660,X661),esk47_4(X658,X659,X660,X661))
| epred1_4(X661,X660,X659,X658)
| ~ epred2_4(X661,X660,X659,X658) )
& ( X660 = vabs(esk56_4(X658,X659,X660,X661),esk55_4(X658,X659,X660,X661),esk58_4(X658,X659,X660,X661))
| esk49_4(X658,X659,X660,X661) = esk50_4(X658,X659,X660,X661)
| X660 = vapp(esk44_4(X658,X659,X660,X661),esk47_4(X658,X659,X660,X661))
| epred1_4(X661,X660,X659,X658)
| ~ epred2_4(X661,X660,X659,X658) )
& ( esk53_4(X658,X659,X660,X661) != esk56_4(X658,X659,X660,X661)
| esk49_4(X658,X659,X660,X661) = esk50_4(X658,X659,X660,X661)
| X660 = vapp(esk44_4(X658,X659,X660,X661),esk47_4(X658,X659,X660,X661))
| epred1_4(X661,X660,X659,X658)
| ~ epred2_4(X661,X660,X659,X658) )
& ( visFreeVar(esk56_4(X658,X659,X660,X661),esk54_4(X658,X659,X660,X661))
| esk49_4(X658,X659,X660,X661) = esk50_4(X658,X659,X660,X661)
| X660 = vapp(esk44_4(X658,X659,X660,X661),esk47_4(X658,X659,X660,X661))
| epred1_4(X661,X660,X659,X658)
| ~ epred2_4(X661,X660,X659,X658) )
& ( esk57_4(X658,X659,X660,X661) = vgensym(vapp(vapp(esk54_4(X658,X659,X660,X661),esk58_4(X658,X659,X660,X661)),vvar(esk53_4(X658,X659,X660,X661))))
| esk49_4(X658,X659,X660,X661) = esk50_4(X658,X659,X660,X661)
| X660 = vapp(esk44_4(X658,X659,X660,X661),esk47_4(X658,X659,X660,X661))
| epred1_4(X661,X660,X659,X658)
| ~ epred2_4(X661,X660,X659,X658) )
& ( X661 = vsubst(esk53_4(X658,X659,X660,X661),esk54_4(X658,X659,X660,X661),vabs(esk57_4(X658,X659,X660,X661),esk55_4(X658,X659,X660,X661),vsubst(esk56_4(X658,X659,X660,X661),vvar(esk57_4(X658,X659,X660,X661)),esk58_4(X658,X659,X660,X661))))
| esk49_4(X658,X659,X660,X661) = esk50_4(X658,X659,X660,X661)
| X660 = vapp(esk44_4(X658,X659,X660,X661),esk47_4(X658,X659,X660,X661))
| epred1_4(X661,X660,X659,X658)
| ~ epred2_4(X661,X660,X659,X658) )
& ( X658 = esk53_4(X658,X659,X660,X661)
| X661 = vabs(esk50_4(X658,X659,X660,X661),esk51_4(X658,X659,X660,X661),esk52_4(X658,X659,X660,X661))
| X660 = vapp(esk44_4(X658,X659,X660,X661),esk47_4(X658,X659,X660,X661))
| epred1_4(X661,X660,X659,X658)
| ~ epred2_4(X661,X660,X659,X658) )
& ( X659 = esk54_4(X658,X659,X660,X661)
| X661 = vabs(esk50_4(X658,X659,X660,X661),esk51_4(X658,X659,X660,X661),esk52_4(X658,X659,X660,X661))
| X660 = vapp(esk44_4(X658,X659,X660,X661),esk47_4(X658,X659,X660,X661))
| epred1_4(X661,X660,X659,X658)
| ~ epred2_4(X661,X660,X659,X658) )
& ( X660 = vabs(esk56_4(X658,X659,X660,X661),esk55_4(X658,X659,X660,X661),esk58_4(X658,X659,X660,X661))
| X661 = vabs(esk50_4(X658,X659,X660,X661),esk51_4(X658,X659,X660,X661),esk52_4(X658,X659,X660,X661))
| X660 = vapp(esk44_4(X658,X659,X660,X661),esk47_4(X658,X659,X660,X661))
| epred1_4(X661,X660,X659,X658)
| ~ epred2_4(X661,X660,X659,X658) )
& ( esk53_4(X658,X659,X660,X661) != esk56_4(X658,X659,X660,X661)
| X661 = vabs(esk50_4(X658,X659,X660,X661),esk51_4(X658,X659,X660,X661),esk52_4(X658,X659,X660,X661))
| X660 = vapp(esk44_4(X658,X659,X660,X661),esk47_4(X658,X659,X660,X661))
| epred1_4(X661,X660,X659,X658)
| ~ epred2_4(X661,X660,X659,X658) )
& ( visFreeVar(esk56_4(X658,X659,X660,X661),esk54_4(X658,X659,X660,X661))
| X661 = vabs(esk50_4(X658,X659,X660,X661),esk51_4(X658,X659,X660,X661),esk52_4(X658,X659,X660,X661))
| X660 = vapp(esk44_4(X658,X659,X660,X661),esk47_4(X658,X659,X660,X661))
| epred1_4(X661,X660,X659,X658)
| ~ epred2_4(X661,X660,X659,X658) )
& ( esk57_4(X658,X659,X660,X661) = vgensym(vapp(vapp(esk54_4(X658,X659,X660,X661),esk58_4(X658,X659,X660,X661)),vvar(esk53_4(X658,X659,X660,X661))))
| X661 = vabs(esk50_4(X658,X659,X660,X661),esk51_4(X658,X659,X660,X661),esk52_4(X658,X659,X660,X661))
| X660 = vapp(esk44_4(X658,X659,X660,X661),esk47_4(X658,X659,X660,X661))
| epred1_4(X661,X660,X659,X658)
| ~ epred2_4(X661,X660,X659,X658) )
& ( X661 = vsubst(esk53_4(X658,X659,X660,X661),esk54_4(X658,X659,X660,X661),vabs(esk57_4(X658,X659,X660,X661),esk55_4(X658,X659,X660,X661),vsubst(esk56_4(X658,X659,X660,X661),vvar(esk57_4(X658,X659,X660,X661)),esk58_4(X658,X659,X660,X661))))
| X661 = vabs(esk50_4(X658,X659,X660,X661),esk51_4(X658,X659,X660,X661),esk52_4(X658,X659,X660,X661))
| X660 = vapp(esk44_4(X658,X659,X660,X661),esk47_4(X658,X659,X660,X661))
| epred1_4(X661,X660,X659,X658)
| ~ epred2_4(X661,X660,X659,X658) )
& ( X658 = esk53_4(X658,X659,X660,X661)
| X658 = esk49_4(X658,X659,X660,X661)
| X661 = vapp(vsubst(esk45_4(X658,X659,X660,X661),esk46_4(X658,X659,X660,X661),esk44_4(X658,X659,X660,X661)),vsubst(esk45_4(X658,X659,X660,X661),esk46_4(X658,X659,X660,X661),esk47_4(X658,X659,X660,X661)))
| epred1_4(X661,X660,X659,X658)
| ~ epred2_4(X661,X660,X659,X658) )
& ( X659 = esk54_4(X658,X659,X660,X661)
| X658 = esk49_4(X658,X659,X660,X661)
| X661 = vapp(vsubst(esk45_4(X658,X659,X660,X661),esk46_4(X658,X659,X660,X661),esk44_4(X658,X659,X660,X661)),vsubst(esk45_4(X658,X659,X660,X661),esk46_4(X658,X659,X660,X661),esk47_4(X658,X659,X660,X661)))
| epred1_4(X661,X660,X659,X658)
| ~ epred2_4(X661,X660,X659,X658) )
& ( X660 = vabs(esk56_4(X658,X659,X660,X661),esk55_4(X658,X659,X660,X661),esk58_4(X658,X659,X660,X661))
| X658 = esk49_4(X658,X659,X660,X661)
| X661 = vapp(vsubst(esk45_4(X658,X659,X660,X661),esk46_4(X658,X659,X660,X661),esk44_4(X658,X659,X660,X661)),vsubst(esk45_4(X658,X659,X660,X661),esk46_4(X658,X659,X660,X661),esk47_4(X658,X659,X660,X661)))
| epred1_4(X661,X660,X659,X658)
| ~ epred2_4(X661,X660,X659,X658) )
& ( esk53_4(X658,X659,X660,X661) != esk56_4(X658,X659,X660,X661)
| X658 = esk49_4(X658,X659,X660,X661)
| X661 = vapp(vsubst(esk45_4(X658,X659,X660,X661),esk46_4(X658,X659,X660,X661),esk44_4(X658,X659,X660,X661)),vsubst(esk45_4(X658,X659,X660,X661),esk46_4(X658,X659,X660,X661),esk47_4(X658,X659,X660,X661)))
| epred1_4(X661,X660,X659,X658)
| ~ epred2_4(X661,X660,X659,X658) )
& ( visFreeVar(esk56_4(X658,X659,X660,X661),esk54_4(X658,X659,X660,X661))
| X658 = esk49_4(X658,X659,X660,X661)
| X661 = vapp(vsubst(esk45_4(X658,X659,X660,X661),esk46_4(X658,X659,X660,X661),esk44_4(X658,X659,X660,X661)),vsubst(esk45_4(X658,X659,X660,X661),esk46_4(X658,X659,X660,X661),esk47_4(X658,X659,X660,X661)))
| epred1_4(X661,X660,X659,X658)
| ~ epred2_4(X661,X660,X659,X658) )
& ( esk57_4(X658,X659,X660,X661) = vgensym(vapp(vapp(esk54_4(X658,X659,X660,X661),esk58_4(X658,X659,X660,X661)),vvar(esk53_4(X658,X659,X660,X661))))
| X658 = esk49_4(X658,X659,X660,X661)
| X661 = vapp(vsubst(esk45_4(X658,X659,X660,X661),esk46_4(X658,X659,X660,X661),esk44_4(X658,X659,X660,X661)),vsubst(esk45_4(X658,X659,X660,X661),esk46_4(X658,X659,X660,X661),esk47_4(X658,X659,X660,X661)))
| epred1_4(X661,X660,X659,X658)
| ~ epred2_4(X661,X660,X659,X658) )
& ( X661 = vsubst(esk53_4(X658,X659,X660,X661),esk54_4(X658,X659,X660,X661),vabs(esk57_4(X658,X659,X660,X661),esk55_4(X658,X659,X660,X661),vsubst(esk56_4(X658,X659,X660,X661),vvar(esk57_4(X658,X659,X660,X661)),esk58_4(X658,X659,X660,X661))))
| X658 = esk49_4(X658,X659,X660,X661)
| X661 = vapp(vsubst(esk45_4(X658,X659,X660,X661),esk46_4(X658,X659,X660,X661),esk44_4(X658,X659,X660,X661)),vsubst(esk45_4(X658,X659,X660,X661),esk46_4(X658,X659,X660,X661),esk47_4(X658,X659,X660,X661)))
| epred1_4(X661,X660,X659,X658)
| ~ epred2_4(X661,X660,X659,X658) )
& ( X658 = esk53_4(X658,X659,X660,X661)
| X659 = esk48_4(X658,X659,X660,X661)
| X661 = vapp(vsubst(esk45_4(X658,X659,X660,X661),esk46_4(X658,X659,X660,X661),esk44_4(X658,X659,X660,X661)),vsubst(esk45_4(X658,X659,X660,X661),esk46_4(X658,X659,X660,X661),esk47_4(X658,X659,X660,X661)))
| epred1_4(X661,X660,X659,X658)
| ~ epred2_4(X661,X660,X659,X658) )
& ( X659 = esk54_4(X658,X659,X660,X661)
| X659 = esk48_4(X658,X659,X660,X661)
| X661 = vapp(vsubst(esk45_4(X658,X659,X660,X661),esk46_4(X658,X659,X660,X661),esk44_4(X658,X659,X660,X661)),vsubst(esk45_4(X658,X659,X660,X661),esk46_4(X658,X659,X660,X661),esk47_4(X658,X659,X660,X661)))
| epred1_4(X661,X660,X659,X658)
| ~ epred2_4(X661,X660,X659,X658) )
& ( X660 = vabs(esk56_4(X658,X659,X660,X661),esk55_4(X658,X659,X660,X661),esk58_4(X658,X659,X660,X661))
| X659 = esk48_4(X658,X659,X660,X661)
| X661 = vapp(vsubst(esk45_4(X658,X659,X660,X661),esk46_4(X658,X659,X660,X661),esk44_4(X658,X659,X660,X661)),vsubst(esk45_4(X658,X659,X660,X661),esk46_4(X658,X659,X660,X661),esk47_4(X658,X659,X660,X661)))
| epred1_4(X661,X660,X659,X658)
| ~ epred2_4(X661,X660,X659,X658) )
& ( esk53_4(X658,X659,X660,X661) != esk56_4(X658,X659,X660,X661)
| X659 = esk48_4(X658,X659,X660,X661)
| X661 = vapp(vsubst(esk45_4(X658,X659,X660,X661),esk46_4(X658,X659,X660,X661),esk44_4(X658,X659,X660,X661)),vsubst(esk45_4(X658,X659,X660,X661),esk46_4(X658,X659,X660,X661),esk47_4(X658,X659,X660,X661)))
| epred1_4(X661,X660,X659,X658)
| ~ epred2_4(X661,X660,X659,X658) )
& ( visFreeVar(esk56_4(X658,X659,X660,X661),esk54_4(X658,X659,X660,X661))
| X659 = esk48_4(X658,X659,X660,X661)
| X661 = vapp(vsubst(esk45_4(X658,X659,X660,X661),esk46_4(X658,X659,X660,X661),esk44_4(X658,X659,X660,X661)),vsubst(esk45_4(X658,X659,X660,X661),esk46_4(X658,X659,X660,X661),esk47_4(X658,X659,X660,X661)))
| epred1_4(X661,X660,X659,X658)
| ~ epred2_4(X661,X660,X659,X658) )
& ( esk57_4(X658,X659,X660,X661) = vgensym(vapp(vapp(esk54_4(X658,X659,X660,X661),esk58_4(X658,X659,X660,X661)),vvar(esk53_4(X658,X659,X660,X661))))
| X659 = esk48_4(X658,X659,X660,X661)
| X661 = vapp(vsubst(esk45_4(X658,X659,X660,X661),esk46_4(X658,X659,X660,X661),esk44_4(X658,X659,X660,X661)),vsubst(esk45_4(X658,X659,X660,X661),esk46_4(X658,X659,X660,X661),esk47_4(X658,X659,X660,X661)))
| epred1_4(X661,X660,X659,X658)
| ~ epred2_4(X661,X660,X659,X658) )
& ( X661 = vsubst(esk53_4(X658,X659,X660,X661),esk54_4(X658,X659,X660,X661),vabs(esk57_4(X658,X659,X660,X661),esk55_4(X658,X659,X660,X661),vsubst(esk56_4(X658,X659,X660,X661),vvar(esk57_4(X658,X659,X660,X661)),esk58_4(X658,X659,X660,X661))))
| X659 = esk48_4(X658,X659,X660,X661)
| X661 = vapp(vsubst(esk45_4(X658,X659,X660,X661),esk46_4(X658,X659,X660,X661),esk44_4(X658,X659,X660,X661)),vsubst(esk45_4(X658,X659,X660,X661),esk46_4(X658,X659,X660,X661),esk47_4(X658,X659,X660,X661)))
| epred1_4(X661,X660,X659,X658)
| ~ epred2_4(X661,X660,X659,X658) )
& ( X658 = esk53_4(X658,X659,X660,X661)
| X660 = vabs(esk50_4(X658,X659,X660,X661),esk51_4(X658,X659,X660,X661),esk52_4(X658,X659,X660,X661))
| X661 = vapp(vsubst(esk45_4(X658,X659,X660,X661),esk46_4(X658,X659,X660,X661),esk44_4(X658,X659,X660,X661)),vsubst(esk45_4(X658,X659,X660,X661),esk46_4(X658,X659,X660,X661),esk47_4(X658,X659,X660,X661)))
| epred1_4(X661,X660,X659,X658)
| ~ epred2_4(X661,X660,X659,X658) )
& ( X659 = esk54_4(X658,X659,X660,X661)
| X660 = vabs(esk50_4(X658,X659,X660,X661),esk51_4(X658,X659,X660,X661),esk52_4(X658,X659,X660,X661))
| X661 = vapp(vsubst(esk45_4(X658,X659,X660,X661),esk46_4(X658,X659,X660,X661),esk44_4(X658,X659,X660,X661)),vsubst(esk45_4(X658,X659,X660,X661),esk46_4(X658,X659,X660,X661),esk47_4(X658,X659,X660,X661)))
| epred1_4(X661,X660,X659,X658)
| ~ epred2_4(X661,X660,X659,X658) )
& ( X660 = vabs(esk56_4(X658,X659,X660,X661),esk55_4(X658,X659,X660,X661),esk58_4(X658,X659,X660,X661))
| X660 = vabs(esk50_4(X658,X659,X660,X661),esk51_4(X658,X659,X660,X661),esk52_4(X658,X659,X660,X661))
| X661 = vapp(vsubst(esk45_4(X658,X659,X660,X661),esk46_4(X658,X659,X660,X661),esk44_4(X658,X659,X660,X661)),vsubst(esk45_4(X658,X659,X660,X661),esk46_4(X658,X659,X660,X661),esk47_4(X658,X659,X660,X661)))
| epred1_4(X661,X660,X659,X658)
| ~ epred2_4(X661,X660,X659,X658) )
& ( esk53_4(X658,X659,X660,X661) != esk56_4(X658,X659,X660,X661)
| X660 = vabs(esk50_4(X658,X659,X660,X661),esk51_4(X658,X659,X660,X661),esk52_4(X658,X659,X660,X661))
| X661 = vapp(vsubst(esk45_4(X658,X659,X660,X661),esk46_4(X658,X659,X660,X661),esk44_4(X658,X659,X660,X661)),vsubst(esk45_4(X658,X659,X660,X661),esk46_4(X658,X659,X660,X661),esk47_4(X658,X659,X660,X661)))
| epred1_4(X661,X660,X659,X658)
| ~ epred2_4(X661,X660,X659,X658) )
& ( visFreeVar(esk56_4(X658,X659,X660,X661),esk54_4(X658,X659,X660,X661))
| X660 = vabs(esk50_4(X658,X659,X660,X661),esk51_4(X658,X659,X660,X661),esk52_4(X658,X659,X660,X661))
| X661 = vapp(vsubst(esk45_4(X658,X659,X660,X661),esk46_4(X658,X659,X660,X661),esk44_4(X658,X659,X660,X661)),vsubst(esk45_4(X658,X659,X660,X661),esk46_4(X658,X659,X660,X661),esk47_4(X658,X659,X660,X661)))
| epred1_4(X661,X660,X659,X658)
| ~ epred2_4(X661,X660,X659,X658) )
& ( esk57_4(X658,X659,X660,X661) = vgensym(vapp(vapp(esk54_4(X658,X659,X660,X661),esk58_4(X658,X659,X660,X661)),vvar(esk53_4(X658,X659,X660,X661))))
| X660 = vabs(esk50_4(X658,X659,X660,X661),esk51_4(X658,X659,X660,X661),esk52_4(X658,X659,X660,X661))
| X661 = vapp(vsubst(esk45_4(X658,X659,X660,X661),esk46_4(X658,X659,X660,X661),esk44_4(X658,X659,X660,X661)),vsubst(esk45_4(X658,X659,X660,X661),esk46_4(X658,X659,X660,X661),esk47_4(X658,X659,X660,X661)))
| epred1_4(X661,X660,X659,X658)
| ~ epred2_4(X661,X660,X659,X658) )
& ( X661 = vsubst(esk53_4(X658,X659,X660,X661),esk54_4(X658,X659,X660,X661),vabs(esk57_4(X658,X659,X660,X661),esk55_4(X658,X659,X660,X661),vsubst(esk56_4(X658,X659,X660,X661),vvar(esk57_4(X658,X659,X660,X661)),esk58_4(X658,X659,X660,X661))))
| X660 = vabs(esk50_4(X658,X659,X660,X661),esk51_4(X658,X659,X660,X661),esk52_4(X658,X659,X660,X661))
| X661 = vapp(vsubst(esk45_4(X658,X659,X660,X661),esk46_4(X658,X659,X660,X661),esk44_4(X658,X659,X660,X661)),vsubst(esk45_4(X658,X659,X660,X661),esk46_4(X658,X659,X660,X661),esk47_4(X658,X659,X660,X661)))
| epred1_4(X661,X660,X659,X658)
| ~ epred2_4(X661,X660,X659,X658) )
& ( X658 = esk53_4(X658,X659,X660,X661)
| esk49_4(X658,X659,X660,X661) = esk50_4(X658,X659,X660,X661)
| X661 = vapp(vsubst(esk45_4(X658,X659,X660,X661),esk46_4(X658,X659,X660,X661),esk44_4(X658,X659,X660,X661)),vsubst(esk45_4(X658,X659,X660,X661),esk46_4(X658,X659,X660,X661),esk47_4(X658,X659,X660,X661)))
| epred1_4(X661,X660,X659,X658)
| ~ epred2_4(X661,X660,X659,X658) )
& ( X659 = esk54_4(X658,X659,X660,X661)
| esk49_4(X658,X659,X660,X661) = esk50_4(X658,X659,X660,X661)
| X661 = vapp(vsubst(esk45_4(X658,X659,X660,X661),esk46_4(X658,X659,X660,X661),esk44_4(X658,X659,X660,X661)),vsubst(esk45_4(X658,X659,X660,X661),esk46_4(X658,X659,X660,X661),esk47_4(X658,X659,X660,X661)))
| epred1_4(X661,X660,X659,X658)
| ~ epred2_4(X661,X660,X659,X658) )
& ( X660 = vabs(esk56_4(X658,X659,X660,X661),esk55_4(X658,X659,X660,X661),esk58_4(X658,X659,X660,X661))
| esk49_4(X658,X659,X660,X661) = esk50_4(X658,X659,X660,X661)
| X661 = vapp(vsubst(esk45_4(X658,X659,X660,X661),esk46_4(X658,X659,X660,X661),esk44_4(X658,X659,X660,X661)),vsubst(esk45_4(X658,X659,X660,X661),esk46_4(X658,X659,X660,X661),esk47_4(X658,X659,X660,X661)))
| epred1_4(X661,X660,X659,X658)
| ~ epred2_4(X661,X660,X659,X658) )
& ( esk53_4(X658,X659,X660,X661) != esk56_4(X658,X659,X660,X661)
| esk49_4(X658,X659,X660,X661) = esk50_4(X658,X659,X660,X661)
| X661 = vapp(vsubst(esk45_4(X658,X659,X660,X661),esk46_4(X658,X659,X660,X661),esk44_4(X658,X659,X660,X661)),vsubst(esk45_4(X658,X659,X660,X661),esk46_4(X658,X659,X660,X661),esk47_4(X658,X659,X660,X661)))
| epred1_4(X661,X660,X659,X658)
| ~ epred2_4(X661,X660,X659,X658) )
& ( visFreeVar(esk56_4(X658,X659,X660,X661),esk54_4(X658,X659,X660,X661))
| esk49_4(X658,X659,X660,X661) = esk50_4(X658,X659,X660,X661)
| X661 = vapp(vsubst(esk45_4(X658,X659,X660,X661),esk46_4(X658,X659,X660,X661),esk44_4(X658,X659,X660,X661)),vsubst(esk45_4(X658,X659,X660,X661),esk46_4(X658,X659,X660,X661),esk47_4(X658,X659,X660,X661)))
| epred1_4(X661,X660,X659,X658)
| ~ epred2_4(X661,X660,X659,X658) )
& ( esk57_4(X658,X659,X660,X661) = vgensym(vapp(vapp(esk54_4(X658,X659,X660,X661),esk58_4(X658,X659,X660,X661)),vvar(esk53_4(X658,X659,X660,X661))))
| esk49_4(X658,X659,X660,X661) = esk50_4(X658,X659,X660,X661)
| X661 = vapp(vsubst(esk45_4(X658,X659,X660,X661),esk46_4(X658,X659,X660,X661),esk44_4(X658,X659,X660,X661)),vsubst(esk45_4(X658,X659,X660,X661),esk46_4(X658,X659,X660,X661),esk47_4(X658,X659,X660,X661)))
| epred1_4(X661,X660,X659,X658)
| ~ epred2_4(X661,X660,X659,X658) )
& ( X661 = vsubst(esk53_4(X658,X659,X660,X661),esk54_4(X658,X659,X660,X661),vabs(esk57_4(X658,X659,X660,X661),esk55_4(X658,X659,X660,X661),vsubst(esk56_4(X658,X659,X660,X661),vvar(esk57_4(X658,X659,X660,X661)),esk58_4(X658,X659,X660,X661))))
| esk49_4(X658,X659,X660,X661) = esk50_4(X658,X659,X660,X661)
| X661 = vapp(vsubst(esk45_4(X658,X659,X660,X661),esk46_4(X658,X659,X660,X661),esk44_4(X658,X659,X660,X661)),vsubst(esk45_4(X658,X659,X660,X661),esk46_4(X658,X659,X660,X661),esk47_4(X658,X659,X660,X661)))
| epred1_4(X661,X660,X659,X658)
| ~ epred2_4(X661,X660,X659,X658) )
& ( X658 = esk53_4(X658,X659,X660,X661)
| X661 = vabs(esk50_4(X658,X659,X660,X661),esk51_4(X658,X659,X660,X661),esk52_4(X658,X659,X660,X661))
| X661 = vapp(vsubst(esk45_4(X658,X659,X660,X661),esk46_4(X658,X659,X660,X661),esk44_4(X658,X659,X660,X661)),vsubst(esk45_4(X658,X659,X660,X661),esk46_4(X658,X659,X660,X661),esk47_4(X658,X659,X660,X661)))
| epred1_4(X661,X660,X659,X658)
| ~ epred2_4(X661,X660,X659,X658) )
& ( X659 = esk54_4(X658,X659,X660,X661)
| X661 = vabs(esk50_4(X658,X659,X660,X661),esk51_4(X658,X659,X660,X661),esk52_4(X658,X659,X660,X661))
| X661 = vapp(vsubst(esk45_4(X658,X659,X660,X661),esk46_4(X658,X659,X660,X661),esk44_4(X658,X659,X660,X661)),vsubst(esk45_4(X658,X659,X660,X661),esk46_4(X658,X659,X660,X661),esk47_4(X658,X659,X660,X661)))
| epred1_4(X661,X660,X659,X658)
| ~ epred2_4(X661,X660,X659,X658) )
& ( X660 = vabs(esk56_4(X658,X659,X660,X661),esk55_4(X658,X659,X660,X661),esk58_4(X658,X659,X660,X661))
| X661 = vabs(esk50_4(X658,X659,X660,X661),esk51_4(X658,X659,X660,X661),esk52_4(X658,X659,X660,X661))
| X661 = vapp(vsubst(esk45_4(X658,X659,X660,X661),esk46_4(X658,X659,X660,X661),esk44_4(X658,X659,X660,X661)),vsubst(esk45_4(X658,X659,X660,X661),esk46_4(X658,X659,X660,X661),esk47_4(X658,X659,X660,X661)))
| epred1_4(X661,X660,X659,X658)
| ~ epred2_4(X661,X660,X659,X658) )
& ( esk53_4(X658,X659,X660,X661) != esk56_4(X658,X659,X660,X661)
| X661 = vabs(esk50_4(X658,X659,X660,X661),esk51_4(X658,X659,X660,X661),esk52_4(X658,X659,X660,X661))
| X661 = vapp(vsubst(esk45_4(X658,X659,X660,X661),esk46_4(X658,X659,X660,X661),esk44_4(X658,X659,X660,X661)),vsubst(esk45_4(X658,X659,X660,X661),esk46_4(X658,X659,X660,X661),esk47_4(X658,X659,X660,X661)))
| epred1_4(X661,X660,X659,X658)
| ~ epred2_4(X661,X660,X659,X658) )
& ( visFreeVar(esk56_4(X658,X659,X660,X661),esk54_4(X658,X659,X660,X661))
| X661 = vabs(esk50_4(X658,X659,X660,X661),esk51_4(X658,X659,X660,X661),esk52_4(X658,X659,X660,X661))
| X661 = vapp(vsubst(esk45_4(X658,X659,X660,X661),esk46_4(X658,X659,X660,X661),esk44_4(X658,X659,X660,X661)),vsubst(esk45_4(X658,X659,X660,X661),esk46_4(X658,X659,X660,X661),esk47_4(X658,X659,X660,X661)))
| epred1_4(X661,X660,X659,X658)
| ~ epred2_4(X661,X660,X659,X658) )
& ( esk57_4(X658,X659,X660,X661) = vgensym(vapp(vapp(esk54_4(X658,X659,X660,X661),esk58_4(X658,X659,X660,X661)),vvar(esk53_4(X658,X659,X660,X661))))
| X661 = vabs(esk50_4(X658,X659,X660,X661),esk51_4(X658,X659,X660,X661),esk52_4(X658,X659,X660,X661))
| X661 = vapp(vsubst(esk45_4(X658,X659,X660,X661),esk46_4(X658,X659,X660,X661),esk44_4(X658,X659,X660,X661)),vsubst(esk45_4(X658,X659,X660,X661),esk46_4(X658,X659,X660,X661),esk47_4(X658,X659,X660,X661)))
| epred1_4(X661,X660,X659,X658)
| ~ epred2_4(X661,X660,X659,X658) )
& ( X661 = vsubst(esk53_4(X658,X659,X660,X661),esk54_4(X658,X659,X660,X661),vabs(esk57_4(X658,X659,X660,X661),esk55_4(X658,X659,X660,X661),vsubst(esk56_4(X658,X659,X660,X661),vvar(esk57_4(X658,X659,X660,X661)),esk58_4(X658,X659,X660,X661))))
| X661 = vabs(esk50_4(X658,X659,X660,X661),esk51_4(X658,X659,X660,X661),esk52_4(X658,X659,X660,X661))
| X661 = vapp(vsubst(esk45_4(X658,X659,X660,X661),esk46_4(X658,X659,X660,X661),esk44_4(X658,X659,X660,X661)),vsubst(esk45_4(X658,X659,X660,X661),esk46_4(X658,X659,X660,X661),esk47_4(X658,X659,X660,X661)))
| epred1_4(X661,X660,X659,X658)
| ~ epred2_4(X661,X660,X659,X658) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_60])])])]) ).
fof(i_0_77,plain,
! [X574,X575,X576,X577,X578] :
( X575 != vapp(X574,X578)
| X574 = vabs(esk15_5(X574,X575,X576,X577,X578),esk16_5(X574,X575,X576,X577,X578),esk17_5(X574,X575,X576,X577,X578))
| X577 != vreduce(X574)
| ~ visSomeExp(X577)
| X576 != vreduce(X575)
| X576 = vsomeExp(vapp(vgetSomeExp(X577),X578)) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[reduce5])])]) ).
fof(i_0_78,plain,
! [X527,X528,X529,X530] :
( ( X527 = esk12_4(X527,X528,X529,X530)
| epred2_4(X530,X529,X528,X527)
| vsubst(X527,X528,X529) != X530 )
& ( X528 = esk13_4(X527,X528,X529,X530)
| epred2_4(X530,X529,X528,X527)
| vsubst(X527,X528,X529) != X530 )
& ( X529 = vabs(esk10_4(X527,X528,X529,X530),esk11_4(X527,X528,X529,X530),esk14_4(X527,X528,X529,X530))
| epred2_4(X530,X529,X528,X527)
| vsubst(X527,X528,X529) != X530 )
& ( esk12_4(X527,X528,X529,X530) != esk10_4(X527,X528,X529,X530)
| epred2_4(X530,X529,X528,X527)
| vsubst(X527,X528,X529) != X530 )
& ( ~ visFreeVar(esk10_4(X527,X528,X529,X530),esk13_4(X527,X528,X529,X530))
| epred2_4(X530,X529,X528,X527)
| vsubst(X527,X528,X529) != X530 )
& ( X530 = vabs(esk10_4(X527,X528,X529,X530),esk11_4(X527,X528,X529,X530),vsubst(esk12_4(X527,X528,X529,X530),esk13_4(X527,X528,X529,X530),esk14_4(X527,X528,X529,X530)))
| epred2_4(X530,X529,X528,X527)
| vsubst(X527,X528,X529) != X530 ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_61])])])]) ).
fof(i_0_79,plain,
! [X648,X649,X650,X651] :
( ( X648 = esk42_4(X648,X649,X650,X651)
| X648 = esk38_4(X648,X649,X650,X651)
| ~ epred1_4(X651,X650,X649,X648) )
& ( X649 = esk41_4(X648,X649,X650,X651)
| X648 = esk38_4(X648,X649,X650,X651)
| ~ epred1_4(X651,X650,X649,X648) )
& ( X650 = vvar(esk43_4(X648,X649,X650,X651))
| X648 = esk38_4(X648,X649,X650,X651)
| ~ epred1_4(X651,X650,X649,X648) )
& ( esk42_4(X648,X649,X650,X651) != esk43_4(X648,X649,X650,X651)
| X648 = esk38_4(X648,X649,X650,X651)
| ~ epred1_4(X651,X650,X649,X648) )
& ( X651 = vvar(esk43_4(X648,X649,X650,X651))
| X648 = esk38_4(X648,X649,X650,X651)
| ~ epred1_4(X651,X650,X649,X648) )
& ( X648 = esk42_4(X648,X649,X650,X651)
| X649 = esk40_4(X648,X649,X650,X651)
| ~ epred1_4(X651,X650,X649,X648) )
& ( X649 = esk41_4(X648,X649,X650,X651)
| X649 = esk40_4(X648,X649,X650,X651)
| ~ epred1_4(X651,X650,X649,X648) )
& ( X650 = vvar(esk43_4(X648,X649,X650,X651))
| X649 = esk40_4(X648,X649,X650,X651)
| ~ epred1_4(X651,X650,X649,X648) )
& ( esk42_4(X648,X649,X650,X651) != esk43_4(X648,X649,X650,X651)
| X649 = esk40_4(X648,X649,X650,X651)
| ~ epred1_4(X651,X650,X649,X648) )
& ( X651 = vvar(esk43_4(X648,X649,X650,X651))
| X649 = esk40_4(X648,X649,X650,X651)
| ~ epred1_4(X651,X650,X649,X648) )
& ( X648 = esk42_4(X648,X649,X650,X651)
| X650 = vvar(esk39_4(X648,X649,X650,X651))
| ~ epred1_4(X651,X650,X649,X648) )
& ( X649 = esk41_4(X648,X649,X650,X651)
| X650 = vvar(esk39_4(X648,X649,X650,X651))
| ~ epred1_4(X651,X650,X649,X648) )
& ( X650 = vvar(esk43_4(X648,X649,X650,X651))
| X650 = vvar(esk39_4(X648,X649,X650,X651))
| ~ epred1_4(X651,X650,X649,X648) )
& ( esk42_4(X648,X649,X650,X651) != esk43_4(X648,X649,X650,X651)
| X650 = vvar(esk39_4(X648,X649,X650,X651))
| ~ epred1_4(X651,X650,X649,X648) )
& ( X651 = vvar(esk43_4(X648,X649,X650,X651))
| X650 = vvar(esk39_4(X648,X649,X650,X651))
| ~ epred1_4(X651,X650,X649,X648) )
& ( X648 = esk42_4(X648,X649,X650,X651)
| esk38_4(X648,X649,X650,X651) = esk39_4(X648,X649,X650,X651)
| ~ epred1_4(X651,X650,X649,X648) )
& ( X649 = esk41_4(X648,X649,X650,X651)
| esk38_4(X648,X649,X650,X651) = esk39_4(X648,X649,X650,X651)
| ~ epred1_4(X651,X650,X649,X648) )
& ( X650 = vvar(esk43_4(X648,X649,X650,X651))
| esk38_4(X648,X649,X650,X651) = esk39_4(X648,X649,X650,X651)
| ~ epred1_4(X651,X650,X649,X648) )
& ( esk42_4(X648,X649,X650,X651) != esk43_4(X648,X649,X650,X651)
| esk38_4(X648,X649,X650,X651) = esk39_4(X648,X649,X650,X651)
| ~ epred1_4(X651,X650,X649,X648) )
& ( X651 = vvar(esk43_4(X648,X649,X650,X651))
| esk38_4(X648,X649,X650,X651) = esk39_4(X648,X649,X650,X651)
| ~ epred1_4(X651,X650,X649,X648) )
& ( X648 = esk42_4(X648,X649,X650,X651)
| X651 = esk40_4(X648,X649,X650,X651)
| ~ epred1_4(X651,X650,X649,X648) )
& ( X649 = esk41_4(X648,X649,X650,X651)
| X651 = esk40_4(X648,X649,X650,X651)
| ~ epred1_4(X651,X650,X649,X648) )
& ( X650 = vvar(esk43_4(X648,X649,X650,X651))
| X651 = esk40_4(X648,X649,X650,X651)
| ~ epred1_4(X651,X650,X649,X648) )
& ( esk42_4(X648,X649,X650,X651) != esk43_4(X648,X649,X650,X651)
| X651 = esk40_4(X648,X649,X650,X651)
| ~ epred1_4(X651,X650,X649,X648) )
& ( X651 = vvar(esk43_4(X648,X649,X650,X651))
| X651 = esk40_4(X648,X649,X650,X651)
| ~ epred1_4(X651,X650,X649,X648) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_62])])])]) ).
fof(i_0_80,plain,
! [X582,X583,X584,X585,X589] :
( X585 != vapp(X583,X582)
| X583 = vabs(esk18_4(X582,X583,X584,X585),esk19_4(X582,X583,X584,X585),esk20_4(X582,X583,X584,X585))
| X584 != vreduce(X583)
| visSomeExp(X584)
| X589 != vreduce(X585)
| X589 = 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_63])])])])]) ).
fof(i_0_81,plain,
! [X615,X616,X617] :
( ( X615 = vapp(esk29_3(X615,X616,X617),esk30_3(X615,X616,X617))
| X615 = vabs(esk25_3(X615,X616,X617),esk27_3(X615,X616,X617),esk26_3(X615,X616,X617))
| X615 = vvar(esk24_3(X615,X616,X617))
| ~ vtcheck(X617,X615,X616) )
& ( vtcheck(X617,esk29_3(X615,X616,X617),varrow(esk31_3(X615,X616,X617),X616))
| X615 = vabs(esk25_3(X615,X616,X617),esk27_3(X615,X616,X617),esk26_3(X615,X616,X617))
| X615 = vvar(esk24_3(X615,X616,X617))
| ~ vtcheck(X617,X615,X616) )
& ( vtcheck(X617,esk30_3(X615,X616,X617),esk31_3(X615,X616,X617))
| X615 = vabs(esk25_3(X615,X616,X617),esk27_3(X615,X616,X617),esk26_3(X615,X616,X617))
| X615 = vvar(esk24_3(X615,X616,X617))
| ~ vtcheck(X617,X615,X616) )
& ( X615 = vapp(esk29_3(X615,X616,X617),esk30_3(X615,X616,X617))
| X616 = varrow(esk27_3(X615,X616,X617),esk28_3(X615,X616,X617))
| X615 = vvar(esk24_3(X615,X616,X617))
| ~ vtcheck(X617,X615,X616) )
& ( vtcheck(X617,esk29_3(X615,X616,X617),varrow(esk31_3(X615,X616,X617),X616))
| X616 = varrow(esk27_3(X615,X616,X617),esk28_3(X615,X616,X617))
| X615 = vvar(esk24_3(X615,X616,X617))
| ~ vtcheck(X617,X615,X616) )
& ( vtcheck(X617,esk30_3(X615,X616,X617),esk31_3(X615,X616,X617))
| X616 = varrow(esk27_3(X615,X616,X617),esk28_3(X615,X616,X617))
| X615 = vvar(esk24_3(X615,X616,X617))
| ~ vtcheck(X617,X615,X616) )
& ( X615 = vapp(esk29_3(X615,X616,X617),esk30_3(X615,X616,X617))
| vtcheck(vbind(esk25_3(X615,X616,X617),esk27_3(X615,X616,X617),X617),esk26_3(X615,X616,X617),esk28_3(X615,X616,X617))
| X615 = vvar(esk24_3(X615,X616,X617))
| ~ vtcheck(X617,X615,X616) )
& ( vtcheck(X617,esk29_3(X615,X616,X617),varrow(esk31_3(X615,X616,X617),X616))
| vtcheck(vbind(esk25_3(X615,X616,X617),esk27_3(X615,X616,X617),X617),esk26_3(X615,X616,X617),esk28_3(X615,X616,X617))
| X615 = vvar(esk24_3(X615,X616,X617))
| ~ vtcheck(X617,X615,X616) )
& ( vtcheck(X617,esk30_3(X615,X616,X617),esk31_3(X615,X616,X617))
| vtcheck(vbind(esk25_3(X615,X616,X617),esk27_3(X615,X616,X617),X617),esk26_3(X615,X616,X617),esk28_3(X615,X616,X617))
| X615 = vvar(esk24_3(X615,X616,X617))
| ~ vtcheck(X617,X615,X616) )
& ( X615 = vapp(esk29_3(X615,X616,X617),esk30_3(X615,X616,X617))
| X615 = vabs(esk25_3(X615,X616,X617),esk27_3(X615,X616,X617),esk26_3(X615,X616,X617))
| vlookup(esk24_3(X615,X616,X617),X617) = vsomeType(X616)
| ~ vtcheck(X617,X615,X616) )
& ( vtcheck(X617,esk29_3(X615,X616,X617),varrow(esk31_3(X615,X616,X617),X616))
| X615 = vabs(esk25_3(X615,X616,X617),esk27_3(X615,X616,X617),esk26_3(X615,X616,X617))
| vlookup(esk24_3(X615,X616,X617),X617) = vsomeType(X616)
| ~ vtcheck(X617,X615,X616) )
& ( vtcheck(X617,esk30_3(X615,X616,X617),esk31_3(X615,X616,X617))
| X615 = vabs(esk25_3(X615,X616,X617),esk27_3(X615,X616,X617),esk26_3(X615,X616,X617))
| vlookup(esk24_3(X615,X616,X617),X617) = vsomeType(X616)
| ~ vtcheck(X617,X615,X616) )
& ( X615 = vapp(esk29_3(X615,X616,X617),esk30_3(X615,X616,X617))
| X616 = varrow(esk27_3(X615,X616,X617),esk28_3(X615,X616,X617))
| vlookup(esk24_3(X615,X616,X617),X617) = vsomeType(X616)
| ~ vtcheck(X617,X615,X616) )
& ( vtcheck(X617,esk29_3(X615,X616,X617),varrow(esk31_3(X615,X616,X617),X616))
| X616 = varrow(esk27_3(X615,X616,X617),esk28_3(X615,X616,X617))
| vlookup(esk24_3(X615,X616,X617),X617) = vsomeType(X616)
| ~ vtcheck(X617,X615,X616) )
& ( vtcheck(X617,esk30_3(X615,X616,X617),esk31_3(X615,X616,X617))
| X616 = varrow(esk27_3(X615,X616,X617),esk28_3(X615,X616,X617))
| vlookup(esk24_3(X615,X616,X617),X617) = vsomeType(X616)
| ~ vtcheck(X617,X615,X616) )
& ( X615 = vapp(esk29_3(X615,X616,X617),esk30_3(X615,X616,X617))
| vtcheck(vbind(esk25_3(X615,X616,X617),esk27_3(X615,X616,X617),X617),esk26_3(X615,X616,X617),esk28_3(X615,X616,X617))
| vlookup(esk24_3(X615,X616,X617),X617) = vsomeType(X616)
| ~ vtcheck(X617,X615,X616) )
& ( vtcheck(X617,esk29_3(X615,X616,X617),varrow(esk31_3(X615,X616,X617),X616))
| vtcheck(vbind(esk25_3(X615,X616,X617),esk27_3(X615,X616,X617),X617),esk26_3(X615,X616,X617),esk28_3(X615,X616,X617))
| vlookup(esk24_3(X615,X616,X617),X617) = vsomeType(X616)
| ~ vtcheck(X617,X615,X616) )
& ( vtcheck(X617,esk30_3(X615,X616,X617),esk31_3(X615,X616,X617))
| vtcheck(vbind(esk25_3(X615,X616,X617),esk27_3(X615,X616,X617),X617),esk26_3(X615,X616,X617),esk28_3(X615,X616,X617))
| vlookup(esk24_3(X615,X616,X617),X617) = vsomeType(X616)
| ~ vtcheck(X617,X615,X616) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['T-inv'])])])]) ).
cnf(i_0_82,plain,
( X1 = vapp(vabs(esk70_2(X1,X2),esk68_2(X1,X2),esk72_2(X1,X2)),esk71_2(X1,X2))
| X2 = vsomeExp(vapp(vabs(esk64_2(X1,X2),esk65_2(X1,X2),esk66_2(X1,X2)),vgetSomeExp(esk67_2(X1,X2))))
| X2 = vnoExp
| X2 = vnoExp
| ~ epred3_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_64]) ).
fof(i_0_83,plain,
! [X468,X469,X470,X471,X472,X473,X474] :
( X470 = X468
| ~ vtcheck(vbind(X470,X471,vbind(X468,X469,X472)),X473,X474)
| vtcheck(vbind(X468,X469,vbind(X470,X471,X472)),X473,X474) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['T-Context-Swap'])]) ).
cnf(i_0_84,plain,
( X1 = vsomeExp(vsubst(esk70_2(X2,X1),esk71_2(X2,X1),esk72_2(X2,X1)))
| X1 = vsomeExp(vapp(vabs(esk64_2(X2,X1),esk65_2(X2,X1),esk66_2(X2,X1)),vgetSomeExp(esk67_2(X2,X1))))
| X1 = vnoExp
| X1 = vnoExp
| ~ epred3_2(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_64]) ).
fof(i_0_85,plain,
! [X449,X450,X451] :
( ( X449 = esk8_3(X449,X450,X451)
| X449 = esk3_3(X449,X450,X451)
| X449 = esk1_3(X449,X450,X451)
| vlookup(X449,X450) != X451 )
& ( X450 = vbind(esk7_3(X449,X450,X451),esk6_3(X449,X450,X451),esk9_3(X449,X450,X451))
| X449 = esk3_3(X449,X450,X451)
| X449 = esk1_3(X449,X450,X451)
| vlookup(X449,X450) != X451 )
& ( esk8_3(X449,X450,X451) != esk7_3(X449,X450,X451)
| X449 = esk3_3(X449,X450,X451)
| X449 = esk1_3(X449,X450,X451)
| vlookup(X449,X450) != X451 )
& ( X451 = vlookup(esk8_3(X449,X450,X451),esk9_3(X449,X450,X451))
| X449 = esk3_3(X449,X450,X451)
| X449 = esk1_3(X449,X450,X451)
| vlookup(X449,X450) != X451 )
& ( X449 = esk8_3(X449,X450,X451)
| X450 = vbind(esk4_3(X449,X450,X451),esk5_3(X449,X450,X451),esk2_3(X449,X450,X451))
| X449 = esk1_3(X449,X450,X451)
| vlookup(X449,X450) != X451 )
& ( X450 = vbind(esk7_3(X449,X450,X451),esk6_3(X449,X450,X451),esk9_3(X449,X450,X451))
| X450 = vbind(esk4_3(X449,X450,X451),esk5_3(X449,X450,X451),esk2_3(X449,X450,X451))
| X449 = esk1_3(X449,X450,X451)
| vlookup(X449,X450) != X451 )
& ( esk8_3(X449,X450,X451) != esk7_3(X449,X450,X451)
| X450 = vbind(esk4_3(X449,X450,X451),esk5_3(X449,X450,X451),esk2_3(X449,X450,X451))
| X449 = esk1_3(X449,X450,X451)
| vlookup(X449,X450) != X451 )
& ( X451 = vlookup(esk8_3(X449,X450,X451),esk9_3(X449,X450,X451))
| X450 = vbind(esk4_3(X449,X450,X451),esk5_3(X449,X450,X451),esk2_3(X449,X450,X451))
| X449 = esk1_3(X449,X450,X451)
| vlookup(X449,X450) != X451 )
& ( X449 = esk8_3(X449,X450,X451)
| esk3_3(X449,X450,X451) = esk4_3(X449,X450,X451)
| X449 = esk1_3(X449,X450,X451)
| vlookup(X449,X450) != X451 )
& ( X450 = vbind(esk7_3(X449,X450,X451),esk6_3(X449,X450,X451),esk9_3(X449,X450,X451))
| esk3_3(X449,X450,X451) = esk4_3(X449,X450,X451)
| X449 = esk1_3(X449,X450,X451)
| vlookup(X449,X450) != X451 )
& ( esk8_3(X449,X450,X451) != esk7_3(X449,X450,X451)
| esk3_3(X449,X450,X451) = esk4_3(X449,X450,X451)
| X449 = esk1_3(X449,X450,X451)
| vlookup(X449,X450) != X451 )
& ( X451 = vlookup(esk8_3(X449,X450,X451),esk9_3(X449,X450,X451))
| esk3_3(X449,X450,X451) = esk4_3(X449,X450,X451)
| X449 = esk1_3(X449,X450,X451)
| vlookup(X449,X450) != X451 )
& ( X449 = esk8_3(X449,X450,X451)
| X451 = vsomeType(esk5_3(X449,X450,X451))
| X449 = esk1_3(X449,X450,X451)
| vlookup(X449,X450) != X451 )
& ( X450 = vbind(esk7_3(X449,X450,X451),esk6_3(X449,X450,X451),esk9_3(X449,X450,X451))
| X451 = vsomeType(esk5_3(X449,X450,X451))
| X449 = esk1_3(X449,X450,X451)
| vlookup(X449,X450) != X451 )
& ( esk8_3(X449,X450,X451) != esk7_3(X449,X450,X451)
| X451 = vsomeType(esk5_3(X449,X450,X451))
| X449 = esk1_3(X449,X450,X451)
| vlookup(X449,X450) != X451 )
& ( X451 = vlookup(esk8_3(X449,X450,X451),esk9_3(X449,X450,X451))
| X451 = vsomeType(esk5_3(X449,X450,X451))
| X449 = esk1_3(X449,X450,X451)
| vlookup(X449,X450) != X451 )
& ( X449 = esk8_3(X449,X450,X451)
| X449 = esk3_3(X449,X450,X451)
| X450 = vempty
| vlookup(X449,X450) != X451 )
& ( X450 = vbind(esk7_3(X449,X450,X451),esk6_3(X449,X450,X451),esk9_3(X449,X450,X451))
| X449 = esk3_3(X449,X450,X451)
| X450 = vempty
| vlookup(X449,X450) != X451 )
& ( esk8_3(X449,X450,X451) != esk7_3(X449,X450,X451)
| X449 = esk3_3(X449,X450,X451)
| X450 = vempty
| vlookup(X449,X450) != X451 )
& ( X451 = vlookup(esk8_3(X449,X450,X451),esk9_3(X449,X450,X451))
| X449 = esk3_3(X449,X450,X451)
| X450 = vempty
| vlookup(X449,X450) != X451 )
& ( X449 = esk8_3(X449,X450,X451)
| X450 = vbind(esk4_3(X449,X450,X451),esk5_3(X449,X450,X451),esk2_3(X449,X450,X451))
| X450 = vempty
| vlookup(X449,X450) != X451 )
& ( X450 = vbind(esk7_3(X449,X450,X451),esk6_3(X449,X450,X451),esk9_3(X449,X450,X451))
| X450 = vbind(esk4_3(X449,X450,X451),esk5_3(X449,X450,X451),esk2_3(X449,X450,X451))
| X450 = vempty
| vlookup(X449,X450) != X451 )
& ( esk8_3(X449,X450,X451) != esk7_3(X449,X450,X451)
| X450 = vbind(esk4_3(X449,X450,X451),esk5_3(X449,X450,X451),esk2_3(X449,X450,X451))
| X450 = vempty
| vlookup(X449,X450) != X451 )
& ( X451 = vlookup(esk8_3(X449,X450,X451),esk9_3(X449,X450,X451))
| X450 = vbind(esk4_3(X449,X450,X451),esk5_3(X449,X450,X451),esk2_3(X449,X450,X451))
| X450 = vempty
| vlookup(X449,X450) != X451 )
& ( X449 = esk8_3(X449,X450,X451)
| esk3_3(X449,X450,X451) = esk4_3(X449,X450,X451)
| X450 = vempty
| vlookup(X449,X450) != X451 )
& ( X450 = vbind(esk7_3(X449,X450,X451),esk6_3(X449,X450,X451),esk9_3(X449,X450,X451))
| esk3_3(X449,X450,X451) = esk4_3(X449,X450,X451)
| X450 = vempty
| vlookup(X449,X450) != X451 )
& ( esk8_3(X449,X450,X451) != esk7_3(X449,X450,X451)
| esk3_3(X449,X450,X451) = esk4_3(X449,X450,X451)
| X450 = vempty
| vlookup(X449,X450) != X451 )
& ( X451 = vlookup(esk8_3(X449,X450,X451),esk9_3(X449,X450,X451))
| esk3_3(X449,X450,X451) = esk4_3(X449,X450,X451)
| X450 = vempty
| vlookup(X449,X450) != X451 )
& ( X449 = esk8_3(X449,X450,X451)
| X451 = vsomeType(esk5_3(X449,X450,X451))
| X450 = vempty
| vlookup(X449,X450) != X451 )
& ( X450 = vbind(esk7_3(X449,X450,X451),esk6_3(X449,X450,X451),esk9_3(X449,X450,X451))
| X451 = vsomeType(esk5_3(X449,X450,X451))
| X450 = vempty
| vlookup(X449,X450) != X451 )
& ( esk8_3(X449,X450,X451) != esk7_3(X449,X450,X451)
| X451 = vsomeType(esk5_3(X449,X450,X451))
| X450 = vempty
| vlookup(X449,X450) != X451 )
& ( X451 = vlookup(esk8_3(X449,X450,X451),esk9_3(X449,X450,X451))
| X451 = vsomeType(esk5_3(X449,X450,X451))
| X450 = vempty
| vlookup(X449,X450) != X451 )
& ( X449 = esk8_3(X449,X450,X451)
| X449 = esk3_3(X449,X450,X451)
| X451 = vnoType
| vlookup(X449,X450) != X451 )
& ( X450 = vbind(esk7_3(X449,X450,X451),esk6_3(X449,X450,X451),esk9_3(X449,X450,X451))
| X449 = esk3_3(X449,X450,X451)
| X451 = vnoType
| vlookup(X449,X450) != X451 )
& ( esk8_3(X449,X450,X451) != esk7_3(X449,X450,X451)
| X449 = esk3_3(X449,X450,X451)
| X451 = vnoType
| vlookup(X449,X450) != X451 )
& ( X451 = vlookup(esk8_3(X449,X450,X451),esk9_3(X449,X450,X451))
| X449 = esk3_3(X449,X450,X451)
| X451 = vnoType
| vlookup(X449,X450) != X451 )
& ( X449 = esk8_3(X449,X450,X451)
| X450 = vbind(esk4_3(X449,X450,X451),esk5_3(X449,X450,X451),esk2_3(X449,X450,X451))
| X451 = vnoType
| vlookup(X449,X450) != X451 )
& ( X450 = vbind(esk7_3(X449,X450,X451),esk6_3(X449,X450,X451),esk9_3(X449,X450,X451))
| X450 = vbind(esk4_3(X449,X450,X451),esk5_3(X449,X450,X451),esk2_3(X449,X450,X451))
| X451 = vnoType
| vlookup(X449,X450) != X451 )
& ( esk8_3(X449,X450,X451) != esk7_3(X449,X450,X451)
| X450 = vbind(esk4_3(X449,X450,X451),esk5_3(X449,X450,X451),esk2_3(X449,X450,X451))
| X451 = vnoType
| vlookup(X449,X450) != X451 )
& ( X451 = vlookup(esk8_3(X449,X450,X451),esk9_3(X449,X450,X451))
| X450 = vbind(esk4_3(X449,X450,X451),esk5_3(X449,X450,X451),esk2_3(X449,X450,X451))
| X451 = vnoType
| vlookup(X449,X450) != X451 )
& ( X449 = esk8_3(X449,X450,X451)
| esk3_3(X449,X450,X451) = esk4_3(X449,X450,X451)
| X451 = vnoType
| vlookup(X449,X450) != X451 )
& ( X450 = vbind(esk7_3(X449,X450,X451),esk6_3(X449,X450,X451),esk9_3(X449,X450,X451))
| esk3_3(X449,X450,X451) = esk4_3(X449,X450,X451)
| X451 = vnoType
| vlookup(X449,X450) != X451 )
& ( esk8_3(X449,X450,X451) != esk7_3(X449,X450,X451)
| esk3_3(X449,X450,X451) = esk4_3(X449,X450,X451)
| X451 = vnoType
| vlookup(X449,X450) != X451 )
& ( X451 = vlookup(esk8_3(X449,X450,X451),esk9_3(X449,X450,X451))
| esk3_3(X449,X450,X451) = esk4_3(X449,X450,X451)
| X451 = vnoType
| vlookup(X449,X450) != X451 )
& ( X449 = esk8_3(X449,X450,X451)
| X451 = vsomeType(esk5_3(X449,X450,X451))
| X451 = vnoType
| vlookup(X449,X450) != X451 )
& ( X450 = vbind(esk7_3(X449,X450,X451),esk6_3(X449,X450,X451),esk9_3(X449,X450,X451))
| X451 = vsomeType(esk5_3(X449,X450,X451))
| X451 = vnoType
| vlookup(X449,X450) != X451 )
& ( esk8_3(X449,X450,X451) != esk7_3(X449,X450,X451)
| X451 = vsomeType(esk5_3(X449,X450,X451))
| X451 = vnoType
| vlookup(X449,X450) != X451 )
& ( X451 = vlookup(esk8_3(X449,X450,X451),esk9_3(X449,X450,X451))
| X451 = vsomeType(esk5_3(X449,X450,X451))
| X451 = vnoType
| vlookup(X449,X450) != X451 ) ),
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_86,plain,
! [X508,X509,X510,X511,X512,X513,X514,X515,X516,X517] :
( X508 != X512
| X509 != X513
| X510 != vabs(X515,X514,X517)
| X512 = X515
| ~ visFreeVar(X515,X513)
| X516 != vgensym(vapp(vapp(X513,X517),vvar(X512)))
| X511 != vsubst(X508,X509,X510)
| X511 = vsubst(X512,X513,vabs(X516,X514,vsubst(X515,vvar(X516),X517))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[subst4])]) ).
fof(i_0_87,plain,
! [X461,X462,X463,X464,X465,X466,X467] :
( X463 != X461
| ~ vtcheck(vbind(X463,X464,vbind(X461,X462,X465)),X466,X467)
| vtcheck(vbind(X463,X464,X465),X466,X467) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['T-Context-Duplicate'])]) ).
cnf(i_0_88,plain,
( X2 = vsomeExp(vapp(vabs(esk64_2(X1,X2),esk65_2(X1,X2),esk66_2(X1,X2)),vgetSomeExp(esk67_2(X1,X2))))
| X2 = vnoExp
| X2 = vnoExp
| ~ visSomeExp(esk69_2(X1,X2))
| ~ epred3_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_64]) ).
cnf(i_0_89,plain,
( esk69_2(X1,X2) = vreduce(esk71_2(X1,X2))
| X2 = vsomeExp(vapp(vabs(esk64_2(X1,X2),esk65_2(X1,X2),esk66_2(X1,X2)),vgetSomeExp(esk67_2(X1,X2))))
| X2 = vnoExp
| X2 = vnoExp
| ~ epred3_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_64]) ).
cnf(i_0_90,plain,
( visValue(esk71_2(X1,X2))
| X2 = vsomeExp(vapp(vabs(esk64_2(X1,X2),esk65_2(X1,X2),esk66_2(X1,X2)),vgetSomeExp(esk67_2(X1,X2))))
| X2 = vnoExp
| X2 = vnoExp
| ~ epred3_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_64]) ).
cnf(i_0_91,plain,
( X1 = vapp(vabs(esk70_2(X1,X2),esk68_2(X1,X2),esk72_2(X1,X2)),esk71_2(X1,X2))
| X1 = vapp(vabs(esk64_2(X1,X2),esk65_2(X1,X2),esk66_2(X1,X2)),esk63_2(X1,X2))
| X2 = vnoExp
| X2 = vnoExp
| ~ epred3_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_64]) ).
cnf(i_0_92,plain,
( X1 = vsomeExp(vsubst(esk70_2(X2,X1),esk71_2(X2,X1),esk72_2(X2,X1)))
| X2 = vapp(vabs(esk64_2(X2,X1),esk65_2(X2,X1),esk66_2(X2,X1)),esk63_2(X2,X1))
| X1 = vnoExp
| X1 = vnoExp
| ~ epred3_2(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_64]) ).
fof(i_0_93,plain,
! [X636,X637,X638,X639,X640,X641] :
( X636 != X639
| vlookup(X636,X638) != vnoType
| ~ vtcheck(X638,vabs(X639,X640,veabs),X641)
| vtcheck(vbind(X636,X637,X638),vabs(X639,X640,veabs),X641) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['T-Weak-abs-2'])]) ).
fof(i_0_94,plain,
! [X693,X694,X703,X704,X705] :
( ( X693 = vapp(esk78_2(X693,X694),esk80_2(X693,X694))
| X693 = vapp(vabs(esk73_2(X693,X694),esk74_2(X693,X694),esk75_2(X693,X694)),esk77_2(X693,X694))
| epred3_2(X694,X693)
| ~ epred4_2(X694,X693) )
& ( esk78_2(X693,X694) != vabs(X703,X704,X705)
| X693 = vapp(vabs(esk73_2(X693,X694),esk74_2(X693,X694),esk75_2(X693,X694)),esk77_2(X693,X694))
| epred3_2(X694,X693)
| ~ epred4_2(X694,X693) )
& ( esk79_2(X693,X694) = vreduce(esk78_2(X693,X694))
| X693 = vapp(vabs(esk73_2(X693,X694),esk74_2(X693,X694),esk75_2(X693,X694)),esk77_2(X693,X694))
| epred3_2(X694,X693)
| ~ epred4_2(X694,X693) )
& ( visSomeExp(esk79_2(X693,X694))
| X693 = vapp(vabs(esk73_2(X693,X694),esk74_2(X693,X694),esk75_2(X693,X694)),esk77_2(X693,X694))
| epred3_2(X694,X693)
| ~ epred4_2(X694,X693) )
& ( X694 = vsomeExp(vapp(vgetSomeExp(esk79_2(X693,X694)),esk80_2(X693,X694)))
| X693 = vapp(vabs(esk73_2(X693,X694),esk74_2(X693,X694),esk75_2(X693,X694)),esk77_2(X693,X694))
| epred3_2(X694,X693)
| ~ epred4_2(X694,X693) )
& ( X693 = vapp(esk78_2(X693,X694),esk80_2(X693,X694))
| esk76_2(X693,X694) = vreduce(esk77_2(X693,X694))
| epred3_2(X694,X693)
| ~ epred4_2(X694,X693) )
& ( esk78_2(X693,X694) != vabs(X703,X704,X705)
| esk76_2(X693,X694) = vreduce(esk77_2(X693,X694))
| epred3_2(X694,X693)
| ~ epred4_2(X694,X693) )
& ( esk79_2(X693,X694) = vreduce(esk78_2(X693,X694))
| esk76_2(X693,X694) = vreduce(esk77_2(X693,X694))
| epred3_2(X694,X693)
| ~ epred4_2(X694,X693) )
& ( visSomeExp(esk79_2(X693,X694))
| esk76_2(X693,X694) = vreduce(esk77_2(X693,X694))
| epred3_2(X694,X693)
| ~ epred4_2(X694,X693) )
& ( X694 = vsomeExp(vapp(vgetSomeExp(esk79_2(X693,X694)),esk80_2(X693,X694)))
| esk76_2(X693,X694) = vreduce(esk77_2(X693,X694))
| epred3_2(X694,X693)
| ~ epred4_2(X694,X693) )
& ( X693 = vapp(esk78_2(X693,X694),esk80_2(X693,X694))
| ~ visSomeExp(esk76_2(X693,X694))
| epred3_2(X694,X693)
| ~ epred4_2(X694,X693) )
& ( esk78_2(X693,X694) != vabs(X703,X704,X705)
| ~ visSomeExp(esk76_2(X693,X694))
| epred3_2(X694,X693)
| ~ epred4_2(X694,X693) )
& ( esk79_2(X693,X694) = vreduce(esk78_2(X693,X694))
| ~ visSomeExp(esk76_2(X693,X694))
| epred3_2(X694,X693)
| ~ epred4_2(X694,X693) )
& ( visSomeExp(esk79_2(X693,X694))
| ~ visSomeExp(esk76_2(X693,X694))
| epred3_2(X694,X693)
| ~ epred4_2(X694,X693) )
& ( X694 = vsomeExp(vapp(vgetSomeExp(esk79_2(X693,X694)),esk80_2(X693,X694)))
| ~ visSomeExp(esk76_2(X693,X694))
| epred3_2(X694,X693)
| ~ epred4_2(X694,X693) )
& ( X693 = vapp(esk78_2(X693,X694),esk80_2(X693,X694))
| ~ visValue(esk77_2(X693,X694))
| epred3_2(X694,X693)
| ~ epred4_2(X694,X693) )
& ( esk78_2(X693,X694) != vabs(X703,X704,X705)
| ~ visValue(esk77_2(X693,X694))
| epred3_2(X694,X693)
| ~ epred4_2(X694,X693) )
& ( esk79_2(X693,X694) = vreduce(esk78_2(X693,X694))
| ~ visValue(esk77_2(X693,X694))
| epred3_2(X694,X693)
| ~ epred4_2(X694,X693) )
& ( visSomeExp(esk79_2(X693,X694))
| ~ visValue(esk77_2(X693,X694))
| epred3_2(X694,X693)
| ~ epred4_2(X694,X693) )
& ( X694 = vsomeExp(vapp(vgetSomeExp(esk79_2(X693,X694)),esk80_2(X693,X694)))
| ~ visValue(esk77_2(X693,X694))
| epred3_2(X694,X693)
| ~ epred4_2(X694,X693) )
& ( X693 = vapp(esk78_2(X693,X694),esk80_2(X693,X694))
| X694 = vnoExp
| epred3_2(X694,X693)
| ~ epred4_2(X694,X693) )
& ( esk78_2(X693,X694) != vabs(X703,X704,X705)
| X694 = vnoExp
| epred3_2(X694,X693)
| ~ epred4_2(X694,X693) )
& ( esk79_2(X693,X694) = vreduce(esk78_2(X693,X694))
| X694 = vnoExp
| epred3_2(X694,X693)
| ~ epred4_2(X694,X693) )
& ( visSomeExp(esk79_2(X693,X694))
| X694 = vnoExp
| epred3_2(X694,X693)
| ~ epred4_2(X694,X693) )
& ( X694 = vsomeExp(vapp(vgetSomeExp(esk79_2(X693,X694)),esk80_2(X693,X694)))
| X694 = vnoExp
| epred3_2(X694,X693)
| ~ epred4_2(X694,X693) ) ),
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_65])])])])])]) ).
fof(i_0_95,plain,
! [X630,X631,X632,X633,X634,X635] :
( X630 = X633
| vlookup(X630,X632) != vnoType
| ~ vtcheck(X632,vabs(X633,X634,veabs),X635)
| vtcheck(vbind(X630,X631,X632),vabs(X633,X634,veabs),X635) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['T-Weak-abs-1'])]) ).
fof(i_0_96,plain,
! [X553,X554,X555,X556,X557,X558,X559] :
( X554 != vapp(vabs(X556,X557,X558),X553)
| X559 != vreduce(X553)
| ~ visSomeExp(X559)
| X555 != vreduce(X554)
| X555 = vsomeExp(vapp(vabs(X556,X557,X558),vgetSomeExp(X559))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[reduce2])]) ).
fof(i_0_97,plain,
! [X605,X606,X607,X608,X609] :
( ~ vtcheck(vbind(X606,X608,X605),X607,X609)
| vtcheck(X605,vabs(X606,X608,X607),varrow(X608,X609)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['T-abs'])]) ).
fof(i_0_98,negated_conjecture,
( vlookup(esk32_0,esk34_0) = vnoType
& vtcheck(esk34_0,vabs(esk35_0,esk36_0,veabs),esk37_0)
& ~ vtcheck(vbind(esk32_0,esk33_0,esk34_0),vabs(esk35_0,esk36_0,veabs),esk37_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_66])])]) ).
cnf(i_0_99,plain,
( X1 = vapp(vabs(esk64_2(X1,X2),esk65_2(X1,X2),esk66_2(X1,X2)),esk63_2(X1,X2))
| X2 = vnoExp
| X2 = vnoExp
| ~ visSomeExp(esk69_2(X1,X2))
| ~ epred3_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_64]) ).
cnf(i_0_100,plain,
( esk69_2(X1,X2) = vreduce(esk71_2(X1,X2))
| X1 = vapp(vabs(esk64_2(X1,X2),esk65_2(X1,X2),esk66_2(X1,X2)),esk63_2(X1,X2))
| X2 = vnoExp
| X2 = vnoExp
| ~ epred3_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_64]) ).
cnf(i_0_101,plain,
( X1 = vapp(vabs(esk70_2(X1,X2),esk68_2(X1,X2),esk72_2(X1,X2)),esk71_2(X1,X2))
| esk67_2(X1,X2) = vreduce(esk63_2(X1,X2))
| X2 = vnoExp
| X2 = vnoExp
| ~ epred3_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_64]) ).
fof(i_0_102,plain,
! [X518,X519,X520,X521,X522,X523,X524,X525,X526] :
( X518 != X524
| X519 != X525
| X520 != vabs(X522,X523,X526)
| X524 = X522
| visFreeVar(X522,X525)
| X521 != vsubst(X518,X519,X520)
| X521 = vabs(X522,X523,vsubst(X524,X525,X526)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_67])]) ).
cnf(i_0_103,plain,
( X1 = vapp(vabs(esk70_2(X1,X2),esk68_2(X1,X2),esk72_2(X1,X2)),esk71_2(X1,X2))
| visSomeExp(esk67_2(X1,X2))
| X2 = vnoExp
| X2 = vnoExp
| ~ epred3_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_64]) ).
cnf(i_0_104,plain,
( visValue(esk71_2(X1,X2))
| X1 = vapp(vabs(esk64_2(X1,X2),esk65_2(X1,X2),esk66_2(X1,X2)),esk63_2(X1,X2))
| X2 = vnoExp
| X2 = vnoExp
| ~ epred3_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_64]) ).
fof(i_0_105,plain,
! [X491,X492,X493,X494,X495,X496,X497,X498] :
( X491 != X496
| X492 != X497
| X493 != vapp(X495,X498)
| X494 != vsubst(X491,X492,X493)
| X494 = vapp(vsubst(X496,X497,X495),vsubst(X496,X497,X498)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[subst2])]) ).
cnf(i_0_106,plain,
( X1 = vsomeExp(vsubst(esk70_2(X2,X1),esk71_2(X2,X1),esk72_2(X2,X1)))
| esk67_2(X2,X1) = vreduce(esk63_2(X2,X1))
| X1 = vnoExp
| X1 = vnoExp
| ~ epred3_2(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_64]) ).
fof(i_0_107,plain,
! [X560,X561,X562,X563,X564,X565,X566] :
( X562 != vapp(vabs(X564,X560,X566),X565)
| X561 != vreduce(X565)
| visSomeExp(X561)
| ~ visValue(X565)
| X563 != vreduce(X562)
| X563 = vsomeExp(vsubst(X564,X565,X566)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_68])]) ).
cnf(i_0_108,plain,
( X1 = vsomeExp(vsubst(esk70_2(X2,X1),esk71_2(X2,X1),esk72_2(X2,X1)))
| visSomeExp(esk67_2(X2,X1))
| X1 = vnoExp
| X1 = vnoExp
| ~ epred3_2(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_64]) ).
fof(i_0_109,plain,
! [X610,X611,X612,X613,X614] :
( ~ vtcheck(X611,X612,varrow(X610,X614))
| ~ vtcheck(X611,X613,X610)
| vtcheck(X611,vapp(X612,X613),X614) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['T-app'])]) ).
fof(i_0_110,plain,
! [X626,X627,X628,X629] :
( vlookup(X626,X628) != vnoType
| ~ vtcheck(X628,veabs,X629)
| vtcheck(vbind(X626,X627,X628),veabs,X629) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['T-Weak-abs-IH'])]) ).
fof(i_0_111,plain,
! [X499,X500,X501,X502,X503,X504,X505,X506,X507] :
( X501 != X500
| X502 != X499
| X503 != vabs(X505,X506,X507)
| X500 != X505
| X504 != vsubst(X501,X502,X503)
| X504 = vabs(X505,X506,X507) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[subst3])]) ).
fof(i_0_112,plain,
! [X567,X568,X569,X570,X571,X572,X573] :
( X572 != vapp(vabs(X567,X568,X569),X571)
| X570 != vreduce(X571)
| visSomeExp(X570)
| visValue(X571)
| X573 != vreduce(X572)
| X573 = vnoExp ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_69])]) ).
fof(i_0_113,plain,
! [X413,X414,X415,X416,X417,X418] :
( ( X413 = X416
| vbind(X413,X414,X415) != vbind(X416,X417,X418) )
& ( X414 = X417
| vbind(X413,X414,X415) != vbind(X416,X417,X418) )
& ( X415 = X418
| vbind(X413,X414,X415) != vbind(X416,X417,X418) )
& ( X413 != X416
| X414 != X417
| X415 != X418
| vbind(X413,X414,X415) = vbind(X416,X417,X418) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['EQ-bind'])])]) ).
fof(i_0_114,plain,
! [X367,X368,X369,X370,X371,X372] :
( ( X367 = X370
| vabs(X367,X368,X369) != vabs(X370,X371,X372) )
& ( X368 = X371
| vabs(X367,X368,X369) != vabs(X370,X371,X372) )
& ( X369 = X372
| vabs(X367,X368,X369) != vabs(X370,X371,X372) )
& ( X367 != X370
| X368 != X371
| X369 != X372
| vabs(X367,X368,X369) = vabs(X370,X371,X372) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['EQ-abs'])])]) ).
fof(i_0_115,plain,
! [X442,X443,X444,X445,X446,X447,X448] :
( X444 != X447
| X445 != vbind(X443,X442,X448)
| X447 = X443
| X446 != vlookup(X444,X445)
| X446 = vlookup(X447,X448) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[lookup2])]) ).
fof(i_0_116,plain,
! [X590,X591,X595,X596,X597] :
( ( X590 = vapp(esk22_2(X590,X591),esk21_2(X590,X591))
| epred4_2(X591,X590)
| vreduce(X590) != X591 )
& ( esk22_2(X590,X591) != vabs(X595,X596,X597)
| epred4_2(X591,X590)
| vreduce(X590) != X591 )
& ( esk23_2(X590,X591) = vreduce(esk22_2(X590,X591))
| epred4_2(X591,X590)
| vreduce(X590) != X591 )
& ( ~ visSomeExp(esk23_2(X590,X591))
| epred4_2(X591,X590)
| vreduce(X590) != X591 )
& ( X591 = vnoExp
| epred4_2(X591,X590)
| vreduce(X590) != X591 ) ),
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_70])])])])])]) ).
fof(i_0_117,plain,
! [X402,X403,X404,X405,X406,X407] :
( ( X405 = X406
| ~ visFreeVar(X406,X407)
| visFreeVar(X403,X404)
| X403 != X406
| X404 != vabs(X405,X402,X407) )
& ( X405 != X406
| ~ visFreeVar(X403,X404)
| X403 != X406
| X404 != vabs(X405,X402,X407) )
& ( visFreeVar(X406,X407)
| ~ visFreeVar(X403,X404)
| X403 != X406
| X404 != vabs(X405,X402,X407) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[isFreeVar1])])]) ).
fof(i_0_118,plain,
! [X435,X436,X437,X438,X439,X440,X441] :
( X438 != X436
| X439 != vbind(X437,X441,X435)
| X436 != X437
| X440 != vlookup(X438,X439)
| X440 = vsomeType(X441) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[lookup1])]) ).
cnf(i_0_119,plain,
( esk67_2(X1,X2) = vreduce(esk63_2(X1,X2))
| X2 = vnoExp
| X2 = vnoExp
| ~ visSomeExp(esk69_2(X1,X2))
| ~ epred3_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_64]) ).
cnf(i_0_120,plain,
( esk69_2(X1,X2) = vreduce(esk71_2(X1,X2))
| esk67_2(X1,X2) = vreduce(esk63_2(X1,X2))
| X2 = vnoExp
| X2 = vnoExp
| ~ epred3_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_64]) ).
fof(i_0_121,plain,
! [X484,X485,X486,X487,X488,X489,X490] :
( X486 != X485
| X487 != X484
| X488 != vvar(X490)
| X485 = X490
| X489 != vsubst(X486,X487,X488)
| X489 = vvar(X490) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[subst1])]) ).
fof(i_0_122,plain,
! [X477,X478,X479,X480,X481,X482,X483] :
( X479 != X477
| X480 != X483
| X481 != vvar(X478)
| X477 != X478
| X482 != vsubst(X479,X480,X481)
| X482 = X483 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[subst0])]) ).
fof(i_0_123,plain,
! [X384,X385,X386,X387,X388] : vabs(X384,X385,X386) != vapp(X387,X388),
inference(variable_rename,[status(thm)],['DIFF-abs-app']) ).
cnf(i_0_124,plain,
( visSomeExp(esk67_2(X1,X2))
| X2 = vnoExp
| X2 = vnoExp
| ~ visSomeExp(esk69_2(X1,X2))
| ~ epred3_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_64]) ).
cnf(i_0_125,plain,
( esk69_2(X1,X2) = vreduce(esk71_2(X1,X2))
| visSomeExp(esk67_2(X1,X2))
| X2 = vnoExp
| X2 = vnoExp
| ~ epred3_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_64]) ).
cnf(i_0_126,plain,
( visValue(esk71_2(X1,X2))
| esk67_2(X1,X2) = vreduce(esk63_2(X1,X2))
| X2 = vnoExp
| X2 = vnoExp
| ~ epred3_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_64]) ).
fof(i_0_127,plain,
! [X548,X549,X550,X551,X552] :
( X551 != vabs(X548,X549,X550)
| X552 != vreduce(X551)
| X552 = vnoExp ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[reduce1])]) ).
fof(i_0_128,plain,
! [X377,X378,X379,X380] : vvar(X377) != vabs(X378,X379,X380),
inference(variable_rename,[status(thm)],['DIFF-var-abs']) ).
fof(i_0_129,plain,
! [X389,X390,X391,X392] :
( X392 != vabs(X389,X390,X391)
| visValue(X392) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[isValue0])]) ).
fof(i_0_130,plain,
! [X602,X603,X604] :
( vlookup(X603,X602) != vsomeType(X604)
| vtcheck(X602,vvar(X603),X604) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['T-var'])]) ).
fof(i_0_131,plain,
! [X421,X422,X423] : vempty != vbind(X421,X422,X423),
inference(variable_rename,[status(thm)],['DIFF-empty-bind']) ).
cnf(i_0_132,plain,
( visValue(esk71_2(X1,X2))
| visSomeExp(esk67_2(X1,X2))
| X2 = vnoExp
| X2 = vnoExp
| ~ epred3_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_64]) ).
fof(i_0_133,plain,
! [X408,X409,X410,X411,X412] :
( ( ~ visFreeVar(X411,X410)
| visFreeVar(X408,X409)
| X408 != X411
| X409 != vapp(X410,X412) )
& ( ~ visFreeVar(X411,X412)
| visFreeVar(X408,X409)
| X408 != X411
| X409 != vapp(X410,X412) )
& ( ~ visFreeVar(X408,X409)
| visFreeVar(X411,X410)
| visFreeVar(X411,X412)
| X408 != X411
| X409 != vapp(X410,X412) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[isFreeVar2])])]) ).
fof(i_0_134,plain,
! [X598,X599,X600,X601] :
( ( X598 = X600
| varrow(X598,X599) != varrow(X600,X601) )
& ( X599 = X601
| varrow(X598,X599) != varrow(X600,X601) )
& ( X598 != X600
| X599 != X601
| varrow(X598,X599) = varrow(X600,X601) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['EQ-arrow'])])]) ).
fof(i_0_135,plain,
! [X373,X374,X375,X376] :
( ( X373 = X375
| vapp(X373,X374) != vapp(X375,X376) )
& ( X374 = X376
| vapp(X373,X374) != vapp(X375,X376) )
& ( X373 != X375
| X374 != X376
| vapp(X373,X374) = vapp(X375,X376) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['EQ-app'])])]) ).
fof(i_0_136,plain,
! [X398,X399,X400,X401] :
( ( X400 != X401
| visFreeVar(X398,X399)
| X398 != X401
| X399 != vvar(X400) )
& ( ~ visFreeVar(X398,X399)
| X400 = X401
| X398 != X401
| X399 != vvar(X400) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[isFreeVar0])])]) ).
fof(i_0_137,plain,
! [X431,X432,X433,X434] :
( X432 != X431
| X433 != vempty
| X434 != vlookup(X432,X433)
| X434 = vnoType ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[lookup0])]) ).
fof(i_0_138,plain,
! [X395,X396,X397] :
( X397 != vapp(X395,X396)
| ~ visValue(X397) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_71])]) ).
fof(i_0_139,plain,
! [X475,X476] :
( vgensym(X476) != X475
| ~ visFreeVar(X475,X476) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_72])]) ).
fof(i_0_140,plain,
! [X381,X382,X383] : vvar(X381) != vapp(X382,X383),
inference(variable_rename,[status(thm)],['DIFF-var-app']) ).
fof(i_0_141,plain,
! [X542,X543,X544] :
( X542 != vsomeExp(X544)
| X543 != vgetSomeExp(X542)
| X543 = X544 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[getSomeExp0])]) ).
fof(i_0_142,plain,
! [X428,X429,X430] :
( X428 != vsomeType(X430)
| X429 != vgetSomeType(X428)
| X429 = X430 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[getSomeType0])]) ).
fof(i_0_143,plain,
! [X545,X546,X547] :
( X546 != vvar(X545)
| X547 != vreduce(X546)
| X547 = vnoExp ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[reduce0])]) ).
fof(i_0_144,plain,
! [X393,X394] :
( X394 != vvar(X393)
| ~ visValue(X394) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_73])]) ).
fof(i_0_145,plain,
! [X536,X537] :
( ( vsomeExp(X536) != vsomeExp(X537)
| X536 = X537 )
& ( X536 != X537
| vsomeExp(X536) = vsomeExp(X537) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['EQ-someExp'])]) ).
fof(i_0_146,plain,
! [X419,X420] :
( ( vsomeType(X419) != vsomeType(X420)
| X419 = X420 )
& ( X419 != X420
| vsomeType(X419) = vsomeType(X420) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['EQ-someType'])]) ).
fof(i_0_147,plain,
! [X365,X366] :
( ( vvar(X365) != vvar(X366)
| X365 = X366 )
& ( X365 != X366
| vvar(X365) = vvar(X366) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['EQ-var'])]) ).
fof(i_0_148,plain,
! [X540,X541] :
( X541 != vsomeExp(X540)
| visSomeExp(X541) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[isSomeExp1])]) ).
fof(i_0_149,plain,
! [X426,X427] :
( X427 != vsomeType(X426)
| visSomeType(X427) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[isSomeType1])]) ).
fof(i_0_150,plain,
! [X539] :
( X539 != vnoExp
| ~ visSomeExp(X539) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_74])]) ).
fof(i_0_151,plain,
! [X425] :
( X425 != vnoType
| ~ visSomeType(X425) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_75])]) ).
fof(i_0_152,plain,
! [X538] : vnoExp != vsomeExp(X538),
inference(variable_rename,[status(thm)],['DIFF-noExp-someExp']) ).
fof(i_0_153,plain,
! [X424] : vnoType != vsomeType(X424),
inference(variable_rename,[status(thm)],['DIFF-noType-someType']) ).
cnf(i_0_154,plain,
( X1 = vsubst(esk53_4(X2,X3,X4,X1),esk54_4(X2,X3,X4,X1),vabs(esk57_4(X2,X3,X4,X1),esk55_4(X2,X3,X4,X1),vsubst(esk56_4(X2,X3,X4,X1),vvar(esk57_4(X2,X3,X4,X1)),esk58_4(X2,X3,X4,X1))))
| X1 = vabs(esk50_4(X2,X3,X4,X1),esk51_4(X2,X3,X4,X1),esk52_4(X2,X3,X4,X1))
| X1 = vapp(vsubst(esk45_4(X2,X3,X4,X1),esk46_4(X2,X3,X4,X1),esk44_4(X2,X3,X4,X1)),vsubst(esk45_4(X2,X3,X4,X1),esk46_4(X2,X3,X4,X1),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_76]),
[final] ).
cnf(i_0_155,plain,
( X1 = vsubst(esk53_4(X2,X3,X4,X1),esk54_4(X2,X3,X4,X1),vabs(esk57_4(X2,X3,X4,X1),esk55_4(X2,X3,X4,X1),vsubst(esk56_4(X2,X3,X4,X1),vvar(esk57_4(X2,X3,X4,X1)),esk58_4(X2,X3,X4,X1))))
| X4 = vabs(esk50_4(X2,X3,X4,X1),esk51_4(X2,X3,X4,X1),esk52_4(X2,X3,X4,X1))
| X1 = vapp(vsubst(esk45_4(X2,X3,X4,X1),esk46_4(X2,X3,X4,X1),esk44_4(X2,X3,X4,X1)),vsubst(esk45_4(X2,X3,X4,X1),esk46_4(X2,X3,X4,X1),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_76]),
[final] ).
cnf(i_0_156,plain,
( X1 = vsubst(esk53_4(X2,X3,X4,X1),esk54_4(X2,X3,X4,X1),vabs(esk57_4(X2,X3,X4,X1),esk55_4(X2,X3,X4,X1),vsubst(esk56_4(X2,X3,X4,X1),vvar(esk57_4(X2,X3,X4,X1)),esk58_4(X2,X3,X4,X1))))
| esk49_4(X2,X3,X4,X1) = esk50_4(X2,X3,X4,X1)
| X1 = vapp(vsubst(esk45_4(X2,X3,X4,X1),esk46_4(X2,X3,X4,X1),esk44_4(X2,X3,X4,X1)),vsubst(esk45_4(X2,X3,X4,X1),esk46_4(X2,X3,X4,X1),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_76]),
[final] ).
cnf(i_0_157,plain,
( X1 = vsubst(esk53_4(X2,X3,X4,X1),esk54_4(X2,X3,X4,X1),vabs(esk57_4(X2,X3,X4,X1),esk55_4(X2,X3,X4,X1),vsubst(esk56_4(X2,X3,X4,X1),vvar(esk57_4(X2,X3,X4,X1)),esk58_4(X2,X3,X4,X1))))
| X2 = esk49_4(X2,X3,X4,X1)
| X1 = vapp(vsubst(esk45_4(X2,X3,X4,X1),esk46_4(X2,X3,X4,X1),esk44_4(X2,X3,X4,X1)),vsubst(esk45_4(X2,X3,X4,X1),esk46_4(X2,X3,X4,X1),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_76]),
[final] ).
cnf(i_0_158,plain,
( X1 = vsubst(esk53_4(X2,X3,X4,X1),esk54_4(X2,X3,X4,X1),vabs(esk57_4(X2,X3,X4,X1),esk55_4(X2,X3,X4,X1),vsubst(esk56_4(X2,X3,X4,X1),vvar(esk57_4(X2,X3,X4,X1)),esk58_4(X2,X3,X4,X1))))
| X3 = esk48_4(X2,X3,X4,X1)
| X1 = vapp(vsubst(esk45_4(X2,X3,X4,X1),esk46_4(X2,X3,X4,X1),esk44_4(X2,X3,X4,X1)),vsubst(esk45_4(X2,X3,X4,X1),esk46_4(X2,X3,X4,X1),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_76]),
[final] ).
cnf(i_0_159,plain,
( esk57_4(X1,X2,X3,X4) = vgensym(vapp(vapp(esk54_4(X1,X2,X3,X4),esk58_4(X1,X2,X3,X4)),vvar(esk53_4(X1,X2,X3,X4))))
| X3 = vabs(esk50_4(X1,X2,X3,X4),esk51_4(X1,X2,X3,X4),esk52_4(X1,X2,X3,X4))
| X4 = vapp(vsubst(esk45_4(X1,X2,X3,X4),esk46_4(X1,X2,X3,X4),esk44_4(X1,X2,X3,X4)),vsubst(esk45_4(X1,X2,X3,X4),esk46_4(X1,X2,X3,X4),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_76]),
[final] ).
cnf(i_0_160,plain,
( esk57_4(X1,X2,X3,X4) = vgensym(vapp(vapp(esk54_4(X1,X2,X3,X4),esk58_4(X1,X2,X3,X4)),vvar(esk53_4(X1,X2,X3,X4))))
| X4 = vabs(esk50_4(X1,X2,X3,X4),esk51_4(X1,X2,X3,X4),esk52_4(X1,X2,X3,X4))
| X4 = vapp(vsubst(esk45_4(X1,X2,X3,X4),esk46_4(X1,X2,X3,X4),esk44_4(X1,X2,X3,X4)),vsubst(esk45_4(X1,X2,X3,X4),esk46_4(X1,X2,X3,X4),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_76]),
[final] ).
cnf(i_0_161,plain,
( X1 = vsubst(esk53_4(X2,X3,X4,X1),esk54_4(X2,X3,X4,X1),vabs(esk57_4(X2,X3,X4,X1),esk55_4(X2,X3,X4,X1),vsubst(esk56_4(X2,X3,X4,X1),vvar(esk57_4(X2,X3,X4,X1)),esk58_4(X2,X3,X4,X1))))
| X1 = vabs(esk50_4(X2,X3,X4,X1),esk51_4(X2,X3,X4,X1),esk52_4(X2,X3,X4,X1))
| X4 = vapp(esk44_4(X2,X3,X4,X1),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_76]),
[final] ).
cnf(i_0_162,plain,
( X1 = vsubst(esk53_4(X2,X3,X4,X1),esk54_4(X2,X3,X4,X1),vabs(esk57_4(X2,X3,X4,X1),esk55_4(X2,X3,X4,X1),vsubst(esk56_4(X2,X3,X4,X1),vvar(esk57_4(X2,X3,X4,X1)),esk58_4(X2,X3,X4,X1))))
| X4 = vabs(esk50_4(X2,X3,X4,X1),esk51_4(X2,X3,X4,X1),esk52_4(X2,X3,X4,X1))
| X4 = vapp(esk44_4(X2,X3,X4,X1),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_76]),
[final] ).
cnf(i_0_163,plain,
( X1 = vsubst(esk53_4(X2,X3,X4,X1),esk54_4(X2,X3,X4,X1),vabs(esk57_4(X2,X3,X4,X1),esk55_4(X2,X3,X4,X1),vsubst(esk56_4(X2,X3,X4,X1),vvar(esk57_4(X2,X3,X4,X1)),esk58_4(X2,X3,X4,X1))))
| X1 = vabs(esk50_4(X2,X3,X4,X1),esk51_4(X2,X3,X4,X1),esk52_4(X2,X3,X4,X1))
| X2 = esk45_4(X2,X3,X4,X1)
| epred1_4(X1,X4,X3,X2)
| ~ epred2_4(X1,X4,X3,X2) ),
inference(split_conjunct,[status(thm)],[i_0_76]),
[final] ).
cnf(i_0_164,plain,
( X1 = vsubst(esk53_4(X2,X3,X4,X1),esk54_4(X2,X3,X4,X1),vabs(esk57_4(X2,X3,X4,X1),esk55_4(X2,X3,X4,X1),vsubst(esk56_4(X2,X3,X4,X1),vvar(esk57_4(X2,X3,X4,X1)),esk58_4(X2,X3,X4,X1))))
| X4 = vabs(esk50_4(X2,X3,X4,X1),esk51_4(X2,X3,X4,X1),esk52_4(X2,X3,X4,X1))
| X2 = esk45_4(X2,X3,X4,X1)
| epred1_4(X1,X4,X3,X2)
| ~ epred2_4(X1,X4,X3,X2) ),
inference(split_conjunct,[status(thm)],[i_0_76]),
[final] ).
cnf(i_0_165,plain,
( X1 = vsubst(esk53_4(X2,X3,X4,X1),esk54_4(X2,X3,X4,X1),vabs(esk57_4(X2,X3,X4,X1),esk55_4(X2,X3,X4,X1),vsubst(esk56_4(X2,X3,X4,X1),vvar(esk57_4(X2,X3,X4,X1)),esk58_4(X2,X3,X4,X1))))
| X1 = vabs(esk50_4(X2,X3,X4,X1),esk51_4(X2,X3,X4,X1),esk52_4(X2,X3,X4,X1))
| X3 = 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_76]),
[final] ).
cnf(i_0_166,plain,
( X1 = vsubst(esk53_4(X2,X3,X4,X1),esk54_4(X2,X3,X4,X1),vabs(esk57_4(X2,X3,X4,X1),esk55_4(X2,X3,X4,X1),vsubst(esk56_4(X2,X3,X4,X1),vvar(esk57_4(X2,X3,X4,X1)),esk58_4(X2,X3,X4,X1))))
| X4 = vabs(esk50_4(X2,X3,X4,X1),esk51_4(X2,X3,X4,X1),esk52_4(X2,X3,X4,X1))
| X3 = 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_76]),
[final] ).
cnf(i_0_167,plain,
( esk57_4(X1,X2,X3,X4) = vgensym(vapp(vapp(esk54_4(X1,X2,X3,X4),esk58_4(X1,X2,X3,X4)),vvar(esk53_4(X1,X2,X3,X4))))
| esk49_4(X1,X2,X3,X4) = esk50_4(X1,X2,X3,X4)
| X4 = vapp(vsubst(esk45_4(X1,X2,X3,X4),esk46_4(X1,X2,X3,X4),esk44_4(X1,X2,X3,X4)),vsubst(esk45_4(X1,X2,X3,X4),esk46_4(X1,X2,X3,X4),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_76]),
[final] ).
cnf(i_0_168,plain,
( X1 = vsubst(esk53_4(X2,X3,X4,X1),esk54_4(X2,X3,X4,X1),vabs(esk57_4(X2,X3,X4,X1),esk55_4(X2,X3,X4,X1),vsubst(esk56_4(X2,X3,X4,X1),vvar(esk57_4(X2,X3,X4,X1)),esk58_4(X2,X3,X4,X1))))
| esk49_4(X2,X3,X4,X1) = esk50_4(X2,X3,X4,X1)
| X4 = vapp(esk44_4(X2,X3,X4,X1),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_76]),
[final] ).
cnf(i_0_169,plain,
( esk57_4(X1,X2,X3,X4) = vgensym(vapp(vapp(esk54_4(X1,X2,X3,X4),esk58_4(X1,X2,X3,X4)),vvar(esk53_4(X1,X2,X3,X4))))
| X1 = esk49_4(X1,X2,X3,X4)
| X4 = vapp(vsubst(esk45_4(X1,X2,X3,X4),esk46_4(X1,X2,X3,X4),esk44_4(X1,X2,X3,X4)),vsubst(esk45_4(X1,X2,X3,X4),esk46_4(X1,X2,X3,X4),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_76]),
[final] ).
cnf(i_0_170,plain,
( esk57_4(X1,X2,X3,X4) = vgensym(vapp(vapp(esk54_4(X1,X2,X3,X4),esk58_4(X1,X2,X3,X4)),vvar(esk53_4(X1,X2,X3,X4))))
| X2 = esk48_4(X1,X2,X3,X4)
| X4 = vapp(vsubst(esk45_4(X1,X2,X3,X4),esk46_4(X1,X2,X3,X4),esk44_4(X1,X2,X3,X4)),vsubst(esk45_4(X1,X2,X3,X4),esk46_4(X1,X2,X3,X4),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_76]),
[final] ).
cnf(i_0_171,plain,
( X1 = vsubst(esk53_4(X2,X3,X4,X1),esk54_4(X2,X3,X4,X1),vabs(esk57_4(X2,X3,X4,X1),esk55_4(X2,X3,X4,X1),vsubst(esk56_4(X2,X3,X4,X1),vvar(esk57_4(X2,X3,X4,X1)),esk58_4(X2,X3,X4,X1))))
| X2 = esk49_4(X2,X3,X4,X1)
| X4 = vapp(esk44_4(X2,X3,X4,X1),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_76]),
[final] ).
cnf(i_0_172,plain,
( X1 = vsubst(esk53_4(X2,X3,X4,X1),esk54_4(X2,X3,X4,X1),vabs(esk57_4(X2,X3,X4,X1),esk55_4(X2,X3,X4,X1),vsubst(esk56_4(X2,X3,X4,X1),vvar(esk57_4(X2,X3,X4,X1)),esk58_4(X2,X3,X4,X1))))
| X3 = esk48_4(X2,X3,X4,X1)
| X4 = vapp(esk44_4(X2,X3,X4,X1),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_76]),
[final] ).
cnf(i_0_173,plain,
( X1 = vsubst(esk53_4(X2,X3,X4,X1),esk54_4(X2,X3,X4,X1),vabs(esk57_4(X2,X3,X4,X1),esk55_4(X2,X3,X4,X1),vsubst(esk56_4(X2,X3,X4,X1),vvar(esk57_4(X2,X3,X4,X1)),esk58_4(X2,X3,X4,X1))))
| esk49_4(X2,X3,X4,X1) = esk50_4(X2,X3,X4,X1)
| X2 = esk45_4(X2,X3,X4,X1)
| epred1_4(X1,X4,X3,X2)
| ~ epred2_4(X1,X4,X3,X2) ),
inference(split_conjunct,[status(thm)],[i_0_76]),
[final] ).
cnf(i_0_174,plain,
( X1 = vsubst(esk53_4(X2,X3,X4,X1),esk54_4(X2,X3,X4,X1),vabs(esk57_4(X2,X3,X4,X1),esk55_4(X2,X3,X4,X1),vsubst(esk56_4(X2,X3,X4,X1),vvar(esk57_4(X2,X3,X4,X1)),esk58_4(X2,X3,X4,X1))))
| esk49_4(X2,X3,X4,X1) = esk50_4(X2,X3,X4,X1)
| X3 = 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_76]),
[final] ).
cnf(i_0_175,plain,
( X1 = vsubst(esk53_4(X2,X3,X4,X1),esk54_4(X2,X3,X4,X1),vabs(esk57_4(X2,X3,X4,X1),esk55_4(X2,X3,X4,X1),vsubst(esk56_4(X2,X3,X4,X1),vvar(esk57_4(X2,X3,X4,X1)),esk58_4(X2,X3,X4,X1))))
| X2 = esk49_4(X2,X3,X4,X1)
| X2 = esk45_4(X2,X3,X4,X1)
| epred1_4(X1,X4,X3,X2)
| ~ epred2_4(X1,X4,X3,X2) ),
inference(split_conjunct,[status(thm)],[i_0_76]),
[final] ).
cnf(i_0_176,plain,
( X1 = vsubst(esk53_4(X2,X3,X4,X1),esk54_4(X2,X3,X4,X1),vabs(esk57_4(X2,X3,X4,X1),esk55_4(X2,X3,X4,X1),vsubst(esk56_4(X2,X3,X4,X1),vvar(esk57_4(X2,X3,X4,X1)),esk58_4(X2,X3,X4,X1))))
| X3 = esk48_4(X2,X3,X4,X1)
| X2 = esk45_4(X2,X3,X4,X1)
| epred1_4(X1,X4,X3,X2)
| ~ epred2_4(X1,X4,X3,X2) ),
inference(split_conjunct,[status(thm)],[i_0_76]),
[final] ).
cnf(i_0_177,plain,
( X1 = vsubst(esk53_4(X2,X3,X4,X1),esk54_4(X2,X3,X4,X1),vabs(esk57_4(X2,X3,X4,X1),esk55_4(X2,X3,X4,X1),vsubst(esk56_4(X2,X3,X4,X1),vvar(esk57_4(X2,X3,X4,X1)),esk58_4(X2,X3,X4,X1))))
| X2 = esk49_4(X2,X3,X4,X1)
| X3 = 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_76]),
[final] ).
cnf(i_0_178,plain,
( X1 = vsubst(esk53_4(X2,X3,X4,X1),esk54_4(X2,X3,X4,X1),vabs(esk57_4(X2,X3,X4,X1),esk55_4(X2,X3,X4,X1),vsubst(esk56_4(X2,X3,X4,X1),vvar(esk57_4(X2,X3,X4,X1)),esk58_4(X2,X3,X4,X1))))
| X3 = esk48_4(X2,X3,X4,X1)
| X3 = 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_76]),
[final] ).
cnf(i_0_179,plain,
( X1 = vabs(esk56_4(X2,X3,X1,X4),esk55_4(X2,X3,X1,X4),esk58_4(X2,X3,X1,X4))
| X1 = vabs(esk50_4(X2,X3,X1,X4),esk51_4(X2,X3,X1,X4),esk52_4(X2,X3,X1,X4))
| X4 = vapp(vsubst(esk45_4(X2,X3,X1,X4),esk46_4(X2,X3,X1,X4),esk44_4(X2,X3,X1,X4)),vsubst(esk45_4(X2,X3,X1,X4),esk46_4(X2,X3,X1,X4),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_76]),
[final] ).
cnf(i_0_180,plain,
( X1 = vabs(esk56_4(X2,X3,X1,X4),esk55_4(X2,X3,X1,X4),esk58_4(X2,X3,X1,X4))
| X4 = vabs(esk50_4(X2,X3,X1,X4),esk51_4(X2,X3,X1,X4),esk52_4(X2,X3,X1,X4))
| X4 = vapp(vsubst(esk45_4(X2,X3,X1,X4),esk46_4(X2,X3,X1,X4),esk44_4(X2,X3,X1,X4)),vsubst(esk45_4(X2,X3,X1,X4),esk46_4(X2,X3,X1,X4),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_76]),
[final] ).
cnf(i_0_181,plain,
( esk57_4(X1,X2,X3,X4) = vgensym(vapp(vapp(esk54_4(X1,X2,X3,X4),esk58_4(X1,X2,X3,X4)),vvar(esk53_4(X1,X2,X3,X4))))
| X3 = vabs(esk50_4(X1,X2,X3,X4),esk51_4(X1,X2,X3,X4),esk52_4(X1,X2,X3,X4))
| X3 = vapp(esk44_4(X1,X2,X3,X4),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_76]),
[final] ).
cnf(i_0_182,plain,
( esk57_4(X1,X2,X3,X4) = vgensym(vapp(vapp(esk54_4(X1,X2,X3,X4),esk58_4(X1,X2,X3,X4)),vvar(esk53_4(X1,X2,X3,X4))))
| X4 = vabs(esk50_4(X1,X2,X3,X4),esk51_4(X1,X2,X3,X4),esk52_4(X1,X2,X3,X4))
| X3 = vapp(esk44_4(X1,X2,X3,X4),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_76]),
[final] ).
cnf(i_0_183,plain,
( visFreeVar(esk56_4(X1,X2,X3,X4),esk54_4(X1,X2,X3,X4))
| X3 = vabs(esk50_4(X1,X2,X3,X4),esk51_4(X1,X2,X3,X4),esk52_4(X1,X2,X3,X4))
| X4 = vapp(vsubst(esk45_4(X1,X2,X3,X4),esk46_4(X1,X2,X3,X4),esk44_4(X1,X2,X3,X4)),vsubst(esk45_4(X1,X2,X3,X4),esk46_4(X1,X2,X3,X4),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_76]),
[final] ).
cnf(i_0_184,plain,
( visFreeVar(esk56_4(X1,X2,X3,X4),esk54_4(X1,X2,X3,X4))
| X4 = vabs(esk50_4(X1,X2,X3,X4),esk51_4(X1,X2,X3,X4),esk52_4(X1,X2,X3,X4))
| X4 = vapp(vsubst(esk45_4(X1,X2,X3,X4),esk46_4(X1,X2,X3,X4),esk44_4(X1,X2,X3,X4)),vsubst(esk45_4(X1,X2,X3,X4),esk46_4(X1,X2,X3,X4),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_76]),
[final] ).
cnf(i_0_185,plain,
( X3 = vabs(esk50_4(X1,X2,X3,X4),esk51_4(X1,X2,X3,X4),esk52_4(X1,X2,X3,X4))
| X4 = vapp(vsubst(esk45_4(X1,X2,X3,X4),esk46_4(X1,X2,X3,X4),esk44_4(X1,X2,X3,X4)),vsubst(esk45_4(X1,X2,X3,X4),esk46_4(X1,X2,X3,X4),esk47_4(X1,X2,X3,X4)))
| epred1_4(X4,X3,X2,X1)
| esk53_4(X1,X2,X3,X4) != esk56_4(X1,X2,X3,X4)
| ~ epred2_4(X4,X3,X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_76]),
[final] ).
cnf(i_0_186,plain,
( X4 = vabs(esk50_4(X1,X2,X3,X4),esk51_4(X1,X2,X3,X4),esk52_4(X1,X2,X3,X4))
| X4 = vapp(vsubst(esk45_4(X1,X2,X3,X4),esk46_4(X1,X2,X3,X4),esk44_4(X1,X2,X3,X4)),vsubst(esk45_4(X1,X2,X3,X4),esk46_4(X1,X2,X3,X4),esk47_4(X1,X2,X3,X4)))
| epred1_4(X4,X3,X2,X1)
| esk53_4(X1,X2,X3,X4) != esk56_4(X1,X2,X3,X4)
| ~ epred2_4(X4,X3,X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_76]),
[final] ).
cnf(i_0_187,plain,
( X1 = vabs(esk56_4(X2,X3,X1,X4),esk55_4(X2,X3,X1,X4),esk58_4(X2,X3,X1,X4))
| esk49_4(X2,X3,X1,X4) = esk50_4(X2,X3,X1,X4)
| X4 = vapp(vsubst(esk45_4(X2,X3,X1,X4),esk46_4(X2,X3,X1,X4),esk44_4(X2,X3,X1,X4)),vsubst(esk45_4(X2,X3,X1,X4),esk46_4(X2,X3,X1,X4),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_76]),
[final] ).
cnf(i_0_188,plain,
( esk57_4(X1,X2,X3,X4) = vgensym(vapp(vapp(esk54_4(X1,X2,X3,X4),esk58_4(X1,X2,X3,X4)),vvar(esk53_4(X1,X2,X3,X4))))
| X3 = vabs(esk50_4(X1,X2,X3,X4),esk51_4(X1,X2,X3,X4),esk52_4(X1,X2,X3,X4))
| X1 = esk45_4(X1,X2,X3,X4)
| epred1_4(X4,X3,X2,X1)
| ~ epred2_4(X4,X3,X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_76]),
[final] ).
cnf(i_0_189,plain,
( esk57_4(X1,X2,X3,X4) = vgensym(vapp(vapp(esk54_4(X1,X2,X3,X4),esk58_4(X1,X2,X3,X4)),vvar(esk53_4(X1,X2,X3,X4))))
| X4 = vabs(esk50_4(X1,X2,X3,X4),esk51_4(X1,X2,X3,X4),esk52_4(X1,X2,X3,X4))
| X1 = esk45_4(X1,X2,X3,X4)
| epred1_4(X4,X3,X2,X1)
| ~ epred2_4(X4,X3,X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_76]),
[final] ).
cnf(i_0_190,plain,
( esk57_4(X1,X2,X3,X4) = vgensym(vapp(vapp(esk54_4(X1,X2,X3,X4),esk58_4(X1,X2,X3,X4)),vvar(esk53_4(X1,X2,X3,X4))))
| X3 = vabs(esk50_4(X1,X2,X3,X4),esk51_4(X1,X2,X3,X4),esk52_4(X1,X2,X3,X4))
| X2 = 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_76]),
[final] ).
cnf(i_0_191,plain,
( esk57_4(X1,X2,X3,X4) = vgensym(vapp(vapp(esk54_4(X1,X2,X3,X4),esk58_4(X1,X2,X3,X4)),vvar(esk53_4(X1,X2,X3,X4))))
| X4 = vabs(esk50_4(X1,X2,X3,X4),esk51_4(X1,X2,X3,X4),esk52_4(X1,X2,X3,X4))
| X2 = 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_76]),
[final] ).
cnf(i_0_192,plain,
( X1 = esk54_4(X2,X1,X3,X4)
| X3 = vabs(esk50_4(X2,X1,X3,X4),esk51_4(X2,X1,X3,X4),esk52_4(X2,X1,X3,X4))
| X4 = vapp(vsubst(esk45_4(X2,X1,X3,X4),esk46_4(X2,X1,X3,X4),esk44_4(X2,X1,X3,X4)),vsubst(esk45_4(X2,X1,X3,X4),esk46_4(X2,X1,X3,X4),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_76]),
[final] ).
cnf(i_0_193,plain,
( X1 = esk54_4(X2,X1,X3,X4)
| X4 = vabs(esk50_4(X2,X1,X3,X4),esk51_4(X2,X1,X3,X4),esk52_4(X2,X1,X3,X4))
| X4 = vapp(vsubst(esk45_4(X2,X1,X3,X4),esk46_4(X2,X1,X3,X4),esk44_4(X2,X1,X3,X4)),vsubst(esk45_4(X2,X1,X3,X4),esk46_4(X2,X1,X3,X4),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_76]),
[final] ).
cnf(i_0_194,plain,
( X1 = esk53_4(X1,X2,X3,X4)
| X3 = vabs(esk50_4(X1,X2,X3,X4),esk51_4(X1,X2,X3,X4),esk52_4(X1,X2,X3,X4))
| X4 = vapp(vsubst(esk45_4(X1,X2,X3,X4),esk46_4(X1,X2,X3,X4),esk44_4(X1,X2,X3,X4)),vsubst(esk45_4(X1,X2,X3,X4),esk46_4(X1,X2,X3,X4),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_76]),
[final] ).
cnf(i_0_195,plain,
( X1 = esk53_4(X1,X2,X3,X4)
| X4 = vabs(esk50_4(X1,X2,X3,X4),esk51_4(X1,X2,X3,X4),esk52_4(X1,X2,X3,X4))
| X4 = vapp(vsubst(esk45_4(X1,X2,X3,X4),esk46_4(X1,X2,X3,X4),esk44_4(X1,X2,X3,X4)),vsubst(esk45_4(X1,X2,X3,X4),esk46_4(X1,X2,X3,X4),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_76]),
[final] ).
cnf(i_0_196,plain,
( X1 = vabs(esk56_4(X2,X3,X1,X4),esk55_4(X2,X3,X1,X4),esk58_4(X2,X3,X1,X4))
| X2 = esk49_4(X2,X3,X1,X4)
| X4 = vapp(vsubst(esk45_4(X2,X3,X1,X4),esk46_4(X2,X3,X1,X4),esk44_4(X2,X3,X1,X4)),vsubst(esk45_4(X2,X3,X1,X4),esk46_4(X2,X3,X1,X4),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_76]),
[final] ).
cnf(i_0_197,plain,
( X1 = vabs(esk56_4(X2,X3,X1,X4),esk55_4(X2,X3,X1,X4),esk58_4(X2,X3,X1,X4))
| X3 = esk48_4(X2,X3,X1,X4)
| X4 = vapp(vsubst(esk45_4(X2,X3,X1,X4),esk46_4(X2,X3,X1,X4),esk44_4(X2,X3,X1,X4)),vsubst(esk45_4(X2,X3,X1,X4),esk46_4(X2,X3,X1,X4),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_76]),
[final] ).
cnf(i_0_198,plain,
( esk57_4(X1,X2,X3,X4) = vgensym(vapp(vapp(esk54_4(X1,X2,X3,X4),esk58_4(X1,X2,X3,X4)),vvar(esk53_4(X1,X2,X3,X4))))
| esk49_4(X1,X2,X3,X4) = esk50_4(X1,X2,X3,X4)
| X3 = vapp(esk44_4(X1,X2,X3,X4),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_76]),
[final] ).
cnf(i_0_199,plain,
( visFreeVar(esk56_4(X1,X2,X3,X4),esk54_4(X1,X2,X3,X4))
| esk49_4(X1,X2,X3,X4) = esk50_4(X1,X2,X3,X4)
| X4 = vapp(vsubst(esk45_4(X1,X2,X3,X4),esk46_4(X1,X2,X3,X4),esk44_4(X1,X2,X3,X4)),vsubst(esk45_4(X1,X2,X3,X4),esk46_4(X1,X2,X3,X4),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_76]),
[final] ).
cnf(i_0_200,plain,
( esk57_4(X1,X2,X3,X4) = vgensym(vapp(vapp(esk54_4(X1,X2,X3,X4),esk58_4(X1,X2,X3,X4)),vvar(esk53_4(X1,X2,X3,X4))))
| X1 = esk49_4(X1,X2,X3,X4)
| X3 = vapp(esk44_4(X1,X2,X3,X4),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_76]),
[final] ).
cnf(i_0_201,plain,
( esk57_4(X1,X2,X3,X4) = vgensym(vapp(vapp(esk54_4(X1,X2,X3,X4),esk58_4(X1,X2,X3,X4)),vvar(esk53_4(X1,X2,X3,X4))))
| X2 = esk48_4(X1,X2,X3,X4)
| X3 = vapp(esk44_4(X1,X2,X3,X4),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_76]),
[final] ).
cnf(i_0_202,plain,
( esk49_4(X1,X2,X3,X4) = esk50_4(X1,X2,X3,X4)
| X4 = vapp(vsubst(esk45_4(X1,X2,X3,X4),esk46_4(X1,X2,X3,X4),esk44_4(X1,X2,X3,X4)),vsubst(esk45_4(X1,X2,X3,X4),esk46_4(X1,X2,X3,X4),esk47_4(X1,X2,X3,X4)))
| epred1_4(X4,X3,X2,X1)
| esk53_4(X1,X2,X3,X4) != esk56_4(X1,X2,X3,X4)
| ~ epred2_4(X4,X3,X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_76]),
[final] ).
cnf(i_0_203,plain,
( visFreeVar(esk56_4(X1,X2,X3,X4),esk54_4(X1,X2,X3,X4))
| X1 = esk49_4(X1,X2,X3,X4)
| X4 = vapp(vsubst(esk45_4(X1,X2,X3,X4),esk46_4(X1,X2,X3,X4),esk44_4(X1,X2,X3,X4)),vsubst(esk45_4(X1,X2,X3,X4),esk46_4(X1,X2,X3,X4),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_76]),
[final] ).
cnf(i_0_204,plain,
( visFreeVar(esk56_4(X1,X2,X3,X4),esk54_4(X1,X2,X3,X4))
| X2 = esk48_4(X1,X2,X3,X4)
| X4 = vapp(vsubst(esk45_4(X1,X2,X3,X4),esk46_4(X1,X2,X3,X4),esk44_4(X1,X2,X3,X4)),vsubst(esk45_4(X1,X2,X3,X4),esk46_4(X1,X2,X3,X4),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_76]),
[final] ).
cnf(i_0_205,plain,
( X1 = esk49_4(X1,X2,X3,X4)
| X4 = vapp(vsubst(esk45_4(X1,X2,X3,X4),esk46_4(X1,X2,X3,X4),esk44_4(X1,X2,X3,X4)),vsubst(esk45_4(X1,X2,X3,X4),esk46_4(X1,X2,X3,X4),esk47_4(X1,X2,X3,X4)))
| epred1_4(X4,X3,X2,X1)
| esk53_4(X1,X2,X3,X4) != esk56_4(X1,X2,X3,X4)
| ~ epred2_4(X4,X3,X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_76]),
[final] ).
cnf(i_0_206,plain,
( X2 = esk48_4(X1,X2,X3,X4)
| X4 = vapp(vsubst(esk45_4(X1,X2,X3,X4),esk46_4(X1,X2,X3,X4),esk44_4(X1,X2,X3,X4)),vsubst(esk45_4(X1,X2,X3,X4),esk46_4(X1,X2,X3,X4),esk47_4(X1,X2,X3,X4)))
| epred1_4(X4,X3,X2,X1)
| esk53_4(X1,X2,X3,X4) != esk56_4(X1,X2,X3,X4)
| ~ epred2_4(X4,X3,X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_76]),
[final] ).
cnf(i_0_207,plain,
( esk57_4(X1,X2,X3,X4) = vgensym(vapp(vapp(esk54_4(X1,X2,X3,X4),esk58_4(X1,X2,X3,X4)),vvar(esk53_4(X1,X2,X3,X4))))
| esk49_4(X1,X2,X3,X4) = esk50_4(X1,X2,X3,X4)
| X1 = esk45_4(X1,X2,X3,X4)
| epred1_4(X4,X3,X2,X1)
| ~ epred2_4(X4,X3,X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_76]),
[final] ).
cnf(i_0_208,plain,
( esk57_4(X1,X2,X3,X4) = vgensym(vapp(vapp(esk54_4(X1,X2,X3,X4),esk58_4(X1,X2,X3,X4)),vvar(esk53_4(X1,X2,X3,X4))))
| esk49_4(X1,X2,X3,X4) = esk50_4(X1,X2,X3,X4)
| X2 = 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_76]),
[final] ).
cnf(i_0_209,plain,
( X1 = esk54_4(X2,X1,X3,X4)
| esk49_4(X2,X1,X3,X4) = esk50_4(X2,X1,X3,X4)
| X4 = vapp(vsubst(esk45_4(X2,X1,X3,X4),esk46_4(X2,X1,X3,X4),esk44_4(X2,X1,X3,X4)),vsubst(esk45_4(X2,X1,X3,X4),esk46_4(X2,X1,X3,X4),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_76]),
[final] ).
cnf(i_0_210,plain,
( X1 = esk53_4(X1,X2,X3,X4)
| esk49_4(X1,X2,X3,X4) = esk50_4(X1,X2,X3,X4)
| X4 = vapp(vsubst(esk45_4(X1,X2,X3,X4),esk46_4(X1,X2,X3,X4),esk44_4(X1,X2,X3,X4)),vsubst(esk45_4(X1,X2,X3,X4),esk46_4(X1,X2,X3,X4),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_76]),
[final] ).
cnf(i_0_211,plain,
( esk57_4(X1,X2,X3,X4) = vgensym(vapp(vapp(esk54_4(X1,X2,X3,X4),esk58_4(X1,X2,X3,X4)),vvar(esk53_4(X1,X2,X3,X4))))
| X1 = esk49_4(X1,X2,X3,X4)
| X1 = esk45_4(X1,X2,X3,X4)
| epred1_4(X4,X3,X2,X1)
| ~ epred2_4(X4,X3,X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_76]),
[final] ).
cnf(i_0_212,plain,
( esk57_4(X1,X2,X3,X4) = vgensym(vapp(vapp(esk54_4(X1,X2,X3,X4),esk58_4(X1,X2,X3,X4)),vvar(esk53_4(X1,X2,X3,X4))))
| X2 = esk48_4(X1,X2,X3,X4)
| X1 = esk45_4(X1,X2,X3,X4)
| epred1_4(X4,X3,X2,X1)
| ~ epred2_4(X4,X3,X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_76]),
[final] ).
cnf(i_0_213,plain,
( esk57_4(X1,X2,X3,X4) = vgensym(vapp(vapp(esk54_4(X1,X2,X3,X4),esk58_4(X1,X2,X3,X4)),vvar(esk53_4(X1,X2,X3,X4))))
| X1 = esk49_4(X1,X2,X3,X4)
| X2 = 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_76]),
[final] ).
cnf(i_0_214,plain,
( esk57_4(X1,X2,X3,X4) = vgensym(vapp(vapp(esk54_4(X1,X2,X3,X4),esk58_4(X1,X2,X3,X4)),vvar(esk53_4(X1,X2,X3,X4))))
| X2 = esk48_4(X1,X2,X3,X4)
| X2 = 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_76]),
[final] ).
cnf(i_0_215,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_77]),
[final] ).
cnf(i_0_216,plain,
( X1 = esk53_4(X1,X2,X3,X4)
| X1 = esk49_4(X1,X2,X3,X4)
| X4 = vapp(vsubst(esk45_4(X1,X2,X3,X4),esk46_4(X1,X2,X3,X4),esk44_4(X1,X2,X3,X4)),vsubst(esk45_4(X1,X2,X3,X4),esk46_4(X1,X2,X3,X4),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_76]),
[final] ).
cnf(i_0_217,plain,
( X1 = esk54_4(X2,X1,X3,X4)
| X1 = esk48_4(X2,X1,X3,X4)
| X4 = vapp(vsubst(esk45_4(X2,X1,X3,X4),esk46_4(X2,X1,X3,X4),esk44_4(X2,X1,X3,X4)),vsubst(esk45_4(X2,X1,X3,X4),esk46_4(X2,X1,X3,X4),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_76]),
[final] ).
cnf(i_0_218,plain,
( X1 = esk54_4(X2,X1,X3,X4)
| X2 = esk49_4(X2,X1,X3,X4)
| X4 = vapp(vsubst(esk45_4(X2,X1,X3,X4),esk46_4(X2,X1,X3,X4),esk44_4(X2,X1,X3,X4)),vsubst(esk45_4(X2,X1,X3,X4),esk46_4(X2,X1,X3,X4),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_76]),
[final] ).
cnf(i_0_219,plain,
( X1 = esk53_4(X1,X2,X3,X4)
| X2 = esk48_4(X1,X2,X3,X4)
| X4 = vapp(vsubst(esk45_4(X1,X2,X3,X4),esk46_4(X1,X2,X3,X4),esk44_4(X1,X2,X3,X4)),vsubst(esk45_4(X1,X2,X3,X4),esk46_4(X1,X2,X3,X4),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_76]),
[final] ).
cnf(i_0_220,plain,
( X1 = vabs(esk56_4(X2,X3,X1,X4),esk55_4(X2,X3,X1,X4),esk58_4(X2,X3,X1,X4))
| X1 = vabs(esk50_4(X2,X3,X1,X4),esk51_4(X2,X3,X1,X4),esk52_4(X2,X3,X1,X4))
| X1 = vapp(esk44_4(X2,X3,X1,X4),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_76]),
[final] ).
cnf(i_0_221,plain,
( X1 = vabs(esk56_4(X2,X3,X1,X4),esk55_4(X2,X3,X1,X4),esk58_4(X2,X3,X1,X4))
| X4 = vabs(esk50_4(X2,X3,X1,X4),esk51_4(X2,X3,X1,X4),esk52_4(X2,X3,X1,X4))
| X1 = vapp(esk44_4(X2,X3,X1,X4),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_76]),
[final] ).
cnf(i_0_222,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_78]),
[final] ).
cnf(i_0_223,plain,
( visFreeVar(esk56_4(X1,X2,X3,X4),esk54_4(X1,X2,X3,X4))
| X3 = vabs(esk50_4(X1,X2,X3,X4),esk51_4(X1,X2,X3,X4),esk52_4(X1,X2,X3,X4))
| X3 = vapp(esk44_4(X1,X2,X3,X4),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_76]),
[final] ).
cnf(i_0_224,plain,
( visFreeVar(esk56_4(X1,X2,X3,X4),esk54_4(X1,X2,X3,X4))
| X4 = vabs(esk50_4(X1,X2,X3,X4),esk51_4(X1,X2,X3,X4),esk52_4(X1,X2,X3,X4))
| X3 = vapp(esk44_4(X1,X2,X3,X4),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_76]),
[final] ).
cnf(i_0_225,plain,
( X1 = vabs(esk56_4(X2,X3,X1,X4),esk55_4(X2,X3,X1,X4),esk58_4(X2,X3,X1,X4))
| X1 = vabs(esk50_4(X2,X3,X1,X4),esk51_4(X2,X3,X1,X4),esk52_4(X2,X3,X1,X4))
| X2 = esk45_4(X2,X3,X1,X4)
| epred1_4(X4,X1,X3,X2)
| ~ epred2_4(X4,X1,X3,X2) ),
inference(split_conjunct,[status(thm)],[i_0_76]),
[final] ).
cnf(i_0_226,plain,
( X1 = vabs(esk56_4(X2,X3,X1,X4),esk55_4(X2,X3,X1,X4),esk58_4(X2,X3,X1,X4))
| X4 = vabs(esk50_4(X2,X3,X1,X4),esk51_4(X2,X3,X1,X4),esk52_4(X2,X3,X1,X4))
| X2 = esk45_4(X2,X3,X1,X4)
| epred1_4(X4,X1,X3,X2)
| ~ epred2_4(X4,X1,X3,X2) ),
inference(split_conjunct,[status(thm)],[i_0_76]),
[final] ).
cnf(i_0_227,plain,
( X1 = vabs(esk56_4(X2,X3,X1,X4),esk55_4(X2,X3,X1,X4),esk58_4(X2,X3,X1,X4))
| X1 = vabs(esk50_4(X2,X3,X1,X4),esk51_4(X2,X3,X1,X4),esk52_4(X2,X3,X1,X4))
| X3 = 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_76]),
[final] ).
cnf(i_0_228,plain,
( X1 = vabs(esk56_4(X2,X3,X1,X4),esk55_4(X2,X3,X1,X4),esk58_4(X2,X3,X1,X4))
| X4 = vabs(esk50_4(X2,X3,X1,X4),esk51_4(X2,X3,X1,X4),esk52_4(X2,X3,X1,X4))
| X3 = 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_76]),
[final] ).
cnf(i_0_229,plain,
( X3 = vabs(esk50_4(X1,X2,X3,X4),esk51_4(X1,X2,X3,X4),esk52_4(X1,X2,X3,X4))
| X3 = vapp(esk44_4(X1,X2,X3,X4),esk47_4(X1,X2,X3,X4))
| epred1_4(X4,X3,X2,X1)
| esk53_4(X1,X2,X3,X4) != esk56_4(X1,X2,X3,X4)
| ~ epred2_4(X4,X3,X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_76]),
[final] ).
cnf(i_0_230,plain,
( X4 = vabs(esk50_4(X1,X2,X3,X4),esk51_4(X1,X2,X3,X4),esk52_4(X1,X2,X3,X4))
| X3 = vapp(esk44_4(X1,X2,X3,X4),esk47_4(X1,X2,X3,X4))
| epred1_4(X4,X3,X2,X1)
| esk53_4(X1,X2,X3,X4) != esk56_4(X1,X2,X3,X4)
| ~ epred2_4(X4,X3,X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_76]),
[final] ).
cnf(i_0_231,plain,
( X1 = vabs(esk56_4(X2,X3,X1,X4),esk55_4(X2,X3,X1,X4),esk58_4(X2,X3,X1,X4))
| esk49_4(X2,X3,X1,X4) = esk50_4(X2,X3,X1,X4)
| X1 = vapp(esk44_4(X2,X3,X1,X4),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_76]),
[final] ).
cnf(i_0_232,plain,
( X1 = esk54_4(X2,X1,X3,X4)
| X3 = vabs(esk50_4(X2,X1,X3,X4),esk51_4(X2,X1,X3,X4),esk52_4(X2,X1,X3,X4))
| X3 = vapp(esk44_4(X2,X1,X3,X4),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_76]),
[final] ).
cnf(i_0_233,plain,
( X1 = esk54_4(X2,X1,X3,X4)
| X4 = vabs(esk50_4(X2,X1,X3,X4),esk51_4(X2,X1,X3,X4),esk52_4(X2,X1,X3,X4))
| X3 = vapp(esk44_4(X2,X1,X3,X4),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_76]),
[final] ).
cnf(i_0_234,plain,
( X1 = esk53_4(X1,X2,X3,X4)
| X3 = vabs(esk50_4(X1,X2,X3,X4),esk51_4(X1,X2,X3,X4),esk52_4(X1,X2,X3,X4))
| X3 = vapp(esk44_4(X1,X2,X3,X4),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_76]),
[final] ).
cnf(i_0_235,plain,
( X1 = esk53_4(X1,X2,X3,X4)
| X4 = vabs(esk50_4(X1,X2,X3,X4),esk51_4(X1,X2,X3,X4),esk52_4(X1,X2,X3,X4))
| X3 = vapp(esk44_4(X1,X2,X3,X4),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_76]),
[final] ).
cnf(i_0_236,plain,
( X1 = vabs(esk56_4(X2,X3,X1,X4),esk55_4(X2,X3,X1,X4),esk58_4(X2,X3,X1,X4))
| X2 = esk49_4(X2,X3,X1,X4)
| X1 = vapp(esk44_4(X2,X3,X1,X4),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_76]),
[final] ).
cnf(i_0_237,plain,
( X1 = vabs(esk56_4(X2,X3,X1,X4),esk55_4(X2,X3,X1,X4),esk58_4(X2,X3,X1,X4))
| X3 = esk48_4(X2,X3,X1,X4)
| X1 = vapp(esk44_4(X2,X3,X1,X4),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_76]),
[final] ).
cnf(i_0_238,plain,
( visFreeVar(esk56_4(X1,X2,X3,X4),esk54_4(X1,X2,X3,X4))
| X3 = vabs(esk50_4(X1,X2,X3,X4),esk51_4(X1,X2,X3,X4),esk52_4(X1,X2,X3,X4))
| X1 = esk45_4(X1,X2,X3,X4)
| epred1_4(X4,X3,X2,X1)
| ~ epred2_4(X4,X3,X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_76]),
[final] ).
cnf(i_0_239,plain,
( visFreeVar(esk56_4(X1,X2,X3,X4),esk54_4(X1,X2,X3,X4))
| X4 = vabs(esk50_4(X1,X2,X3,X4),esk51_4(X1,X2,X3,X4),esk52_4(X1,X2,X3,X4))
| X1 = esk45_4(X1,X2,X3,X4)
| epred1_4(X4,X3,X2,X1)
| ~ epred2_4(X4,X3,X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_76]),
[final] ).
cnf(i_0_240,plain,
( visFreeVar(esk56_4(X1,X2,X3,X4),esk54_4(X1,X2,X3,X4))
| X3 = vabs(esk50_4(X1,X2,X3,X4),esk51_4(X1,X2,X3,X4),esk52_4(X1,X2,X3,X4))
| X2 = 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_76]),
[final] ).
cnf(i_0_241,plain,
( visFreeVar(esk56_4(X1,X2,X3,X4),esk54_4(X1,X2,X3,X4))
| X4 = vabs(esk50_4(X1,X2,X3,X4),esk51_4(X1,X2,X3,X4),esk52_4(X1,X2,X3,X4))
| X2 = 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_76]),
[final] ).
cnf(i_0_242,plain,
( X3 = vabs(esk50_4(X1,X2,X3,X4),esk51_4(X1,X2,X3,X4),esk52_4(X1,X2,X3,X4))
| X1 = esk45_4(X1,X2,X3,X4)
| epred1_4(X4,X3,X2,X1)
| esk53_4(X1,X2,X3,X4) != esk56_4(X1,X2,X3,X4)
| ~ epred2_4(X4,X3,X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_76]),
[final] ).
cnf(i_0_243,plain,
( X4 = vabs(esk50_4(X1,X2,X3,X4),esk51_4(X1,X2,X3,X4),esk52_4(X1,X2,X3,X4))
| X1 = esk45_4(X1,X2,X3,X4)
| epred1_4(X4,X3,X2,X1)
| esk53_4(X1,X2,X3,X4) != esk56_4(X1,X2,X3,X4)
| ~ epred2_4(X4,X3,X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_76]),
[final] ).
cnf(i_0_244,plain,
( X3 = vabs(esk50_4(X1,X2,X3,X4),esk51_4(X1,X2,X3,X4),esk52_4(X1,X2,X3,X4))
| X2 = esk46_4(X1,X2,X3,X4)
| epred1_4(X4,X3,X2,X1)
| esk53_4(X1,X2,X3,X4) != esk56_4(X1,X2,X3,X4)
| ~ epred2_4(X4,X3,X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_76]),
[final] ).
cnf(i_0_245,plain,
( X4 = vabs(esk50_4(X1,X2,X3,X4),esk51_4(X1,X2,X3,X4),esk52_4(X1,X2,X3,X4))
| X2 = esk46_4(X1,X2,X3,X4)
| epred1_4(X4,X3,X2,X1)
| esk53_4(X1,X2,X3,X4) != esk56_4(X1,X2,X3,X4)
| ~ epred2_4(X4,X3,X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_76]),
[final] ).
cnf(i_0_246,plain,
( visFreeVar(esk56_4(X1,X2,X3,X4),esk54_4(X1,X2,X3,X4))
| esk49_4(X1,X2,X3,X4) = esk50_4(X1,X2,X3,X4)
| X3 = vapp(esk44_4(X1,X2,X3,X4),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_76]),
[final] ).
cnf(i_0_247,plain,
( X1 = vabs(esk56_4(X2,X3,X1,X4),esk55_4(X2,X3,X1,X4),esk58_4(X2,X3,X1,X4))
| esk49_4(X2,X3,X1,X4) = esk50_4(X2,X3,X1,X4)
| X2 = esk45_4(X2,X3,X1,X4)
| epred1_4(X4,X1,X3,X2)
| ~ epred2_4(X4,X1,X3,X2) ),
inference(split_conjunct,[status(thm)],[i_0_76]),
[final] ).
cnf(i_0_248,plain,
( X1 = vabs(esk56_4(X2,X3,X1,X4),esk55_4(X2,X3,X1,X4),esk58_4(X2,X3,X1,X4))
| esk49_4(X2,X3,X1,X4) = esk50_4(X2,X3,X1,X4)
| X3 = 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_76]),
[final] ).
cnf(i_0_249,plain,
( esk49_4(X1,X2,X3,X4) = esk50_4(X1,X2,X3,X4)
| X3 = vapp(esk44_4(X1,X2,X3,X4),esk47_4(X1,X2,X3,X4))
| epred1_4(X4,X3,X2,X1)
| esk53_4(X1,X2,X3,X4) != esk56_4(X1,X2,X3,X4)
| ~ epred2_4(X4,X3,X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_76]),
[final] ).
cnf(i_0_250,plain,
( visFreeVar(esk56_4(X1,X2,X3,X4),esk54_4(X1,X2,X3,X4))
| X1 = esk49_4(X1,X2,X3,X4)
| X3 = vapp(esk44_4(X1,X2,X3,X4),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_76]),
[final] ).
cnf(i_0_251,plain,
( visFreeVar(esk56_4(X1,X2,X3,X4),esk54_4(X1,X2,X3,X4))
| X2 = esk48_4(X1,X2,X3,X4)
| X3 = vapp(esk44_4(X1,X2,X3,X4),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_76]),
[final] ).
cnf(i_0_252,plain,
( X1 = esk54_4(X2,X1,X3,X4)
| X3 = vabs(esk50_4(X2,X1,X3,X4),esk51_4(X2,X1,X3,X4),esk52_4(X2,X1,X3,X4))
| X1 = 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_76]),
[final] ).
cnf(i_0_253,plain,
( X1 = esk54_4(X2,X1,X3,X4)
| X4 = vabs(esk50_4(X2,X1,X3,X4),esk51_4(X2,X1,X3,X4),esk52_4(X2,X1,X3,X4))
| X1 = 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_76]),
[final] ).
cnf(i_0_254,plain,
( X1 = esk53_4(X1,X2,X3,X4)
| X3 = vabs(esk50_4(X1,X2,X3,X4),esk51_4(X1,X2,X3,X4),esk52_4(X1,X2,X3,X4))
| X1 = esk45_4(X1,X2,X3,X4)
| epred1_4(X4,X3,X2,X1)
| ~ epred2_4(X4,X3,X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_76]),
[final] ).
cnf(i_0_255,plain,
( X1 = esk53_4(X1,X2,X3,X4)
| X4 = vabs(esk50_4(X1,X2,X3,X4),esk51_4(X1,X2,X3,X4),esk52_4(X1,X2,X3,X4))
| X1 = esk45_4(X1,X2,X3,X4)
| epred1_4(X4,X3,X2,X1)
| ~ epred2_4(X4,X3,X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_76]),
[final] ).
cnf(i_0_256,plain,
( X1 = esk53_4(X1,X2,X3,X4)
| X3 = vabs(esk50_4(X1,X2,X3,X4),esk51_4(X1,X2,X3,X4),esk52_4(X1,X2,X3,X4))
| X2 = 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_76]),
[final] ).
cnf(i_0_257,plain,
( X1 = esk53_4(X1,X2,X3,X4)
| X4 = vabs(esk50_4(X1,X2,X3,X4),esk51_4(X1,X2,X3,X4),esk52_4(X1,X2,X3,X4))
| X2 = 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_76]),
[final] ).
cnf(i_0_258,plain,
( X1 = esk54_4(X2,X1,X3,X4)
| X3 = vabs(esk50_4(X2,X1,X3,X4),esk51_4(X2,X1,X3,X4),esk52_4(X2,X1,X3,X4))
| X2 = esk45_4(X2,X1,X3,X4)
| epred1_4(X4,X3,X1,X2)
| ~ epred2_4(X4,X3,X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_76]),
[final] ).
cnf(i_0_259,plain,
( X1 = esk54_4(X2,X1,X3,X4)
| X4 = vabs(esk50_4(X2,X1,X3,X4),esk51_4(X2,X1,X3,X4),esk52_4(X2,X1,X3,X4))
| X2 = esk45_4(X2,X1,X3,X4)
| epred1_4(X4,X3,X1,X2)
| ~ epred2_4(X4,X3,X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_76]),
[final] ).
cnf(i_0_260,plain,
( X1 = vabs(esk56_4(X2,X3,X1,X4),esk55_4(X2,X3,X1,X4),esk58_4(X2,X3,X1,X4))
| X2 = esk49_4(X2,X3,X1,X4)
| X2 = esk45_4(X2,X3,X1,X4)
| epred1_4(X4,X1,X3,X2)
| ~ epred2_4(X4,X1,X3,X2) ),
inference(split_conjunct,[status(thm)],[i_0_76]),
[final] ).
cnf(i_0_261,plain,
( X1 = vabs(esk56_4(X2,X3,X1,X4),esk55_4(X2,X3,X1,X4),esk58_4(X2,X3,X1,X4))
| X3 = esk48_4(X2,X3,X1,X4)
| X2 = esk45_4(X2,X3,X1,X4)
| epred1_4(X4,X1,X3,X2)
| ~ epred2_4(X4,X1,X3,X2) ),
inference(split_conjunct,[status(thm)],[i_0_76]),
[final] ).
cnf(i_0_262,plain,
( X1 = vabs(esk56_4(X2,X3,X1,X4),esk55_4(X2,X3,X1,X4),esk58_4(X2,X3,X1,X4))
| X2 = esk49_4(X2,X3,X1,X4)
| X3 = 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_76]),
[final] ).
cnf(i_0_263,plain,
( X1 = vabs(esk56_4(X2,X3,X1,X4),esk55_4(X2,X3,X1,X4),esk58_4(X2,X3,X1,X4))
| X3 = esk48_4(X2,X3,X1,X4)
| X3 = 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_76]),
[final] ).
cnf(i_0_264,plain,
( X1 = esk49_4(X1,X2,X3,X4)
| X3 = vapp(esk44_4(X1,X2,X3,X4),esk47_4(X1,X2,X3,X4))
| epred1_4(X4,X3,X2,X1)
| esk53_4(X1,X2,X3,X4) != esk56_4(X1,X2,X3,X4)
| ~ epred2_4(X4,X3,X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_76]),
[final] ).
cnf(i_0_265,plain,
( X2 = esk48_4(X1,X2,X3,X4)
| X3 = vapp(esk44_4(X1,X2,X3,X4),esk47_4(X1,X2,X3,X4))
| epred1_4(X4,X3,X2,X1)
| esk53_4(X1,X2,X3,X4) != esk56_4(X1,X2,X3,X4)
| ~ epred2_4(X4,X3,X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_76]),
[final] ).
cnf(i_0_266,plain,
( X1 = esk54_4(X2,X1,X3,X4)
| esk49_4(X2,X1,X3,X4) = esk50_4(X2,X1,X3,X4)
| X3 = vapp(esk44_4(X2,X1,X3,X4),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_76]),
[final] ).
cnf(i_0_267,plain,
( X1 = esk53_4(X1,X2,X3,X4)
| esk49_4(X1,X2,X3,X4) = esk50_4(X1,X2,X3,X4)
| X3 = vapp(esk44_4(X1,X2,X3,X4),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_76]),
[final] ).
cnf(i_0_268,plain,
( visFreeVar(esk56_4(X1,X2,X3,X4),esk54_4(X1,X2,X3,X4))
| esk49_4(X1,X2,X3,X4) = esk50_4(X1,X2,X3,X4)
| X1 = esk45_4(X1,X2,X3,X4)
| epred1_4(X4,X3,X2,X1)
| ~ epred2_4(X4,X3,X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_76]),
[final] ).
cnf(i_0_269,plain,
( visFreeVar(esk56_4(X1,X2,X3,X4),esk54_4(X1,X2,X3,X4))
| esk49_4(X1,X2,X3,X4) = esk50_4(X1,X2,X3,X4)
| X2 = 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_76]),
[final] ).
cnf(i_0_270,plain,
( esk49_4(X1,X2,X3,X4) = esk50_4(X1,X2,X3,X4)
| X1 = esk45_4(X1,X2,X3,X4)
| epred1_4(X4,X3,X2,X1)
| esk53_4(X1,X2,X3,X4) != esk56_4(X1,X2,X3,X4)
| ~ epred2_4(X4,X3,X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_76]),
[final] ).
cnf(i_0_271,plain,
( esk49_4(X1,X2,X3,X4) = esk50_4(X1,X2,X3,X4)
| X2 = esk46_4(X1,X2,X3,X4)
| epred1_4(X4,X3,X2,X1)
| esk53_4(X1,X2,X3,X4) != esk56_4(X1,X2,X3,X4)
| ~ epred2_4(X4,X3,X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_76]),
[final] ).
cnf(i_0_272,plain,
( X1 = esk53_4(X1,X2,X3,X4)
| X1 = esk49_4(X1,X2,X3,X4)
| X3 = vapp(esk44_4(X1,X2,X3,X4),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_76]),
[final] ).
cnf(i_0_273,plain,
( X1 = esk54_4(X2,X1,X3,X4)
| X1 = esk48_4(X2,X1,X3,X4)
| X3 = vapp(esk44_4(X2,X1,X3,X4),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_76]),
[final] ).
cnf(i_0_274,plain,
( X1 = esk54_4(X2,X1,X3,X4)
| X2 = esk49_4(X2,X1,X3,X4)
| X3 = vapp(esk44_4(X2,X1,X3,X4),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_76]),
[final] ).
cnf(i_0_275,plain,
( X1 = esk53_4(X1,X2,X3,X4)
| X2 = esk48_4(X1,X2,X3,X4)
| X3 = vapp(esk44_4(X1,X2,X3,X4),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_76]),
[final] ).
cnf(i_0_276,plain,
( visFreeVar(esk56_4(X1,X2,X3,X4),esk54_4(X1,X2,X3,X4))
| X1 = esk49_4(X1,X2,X3,X4)
| X1 = esk45_4(X1,X2,X3,X4)
| epred1_4(X4,X3,X2,X1)
| ~ epred2_4(X4,X3,X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_76]),
[final] ).
cnf(i_0_277,plain,
( visFreeVar(esk56_4(X1,X2,X3,X4),esk54_4(X1,X2,X3,X4))
| X2 = esk48_4(X1,X2,X3,X4)
| X1 = esk45_4(X1,X2,X3,X4)
| epred1_4(X4,X3,X2,X1)
| ~ epred2_4(X4,X3,X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_76]),
[final] ).
cnf(i_0_278,plain,
( visFreeVar(esk56_4(X1,X2,X3,X4),esk54_4(X1,X2,X3,X4))
| X1 = esk49_4(X1,X2,X3,X4)
| X2 = 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_76]),
[final] ).
cnf(i_0_279,plain,
( visFreeVar(esk56_4(X1,X2,X3,X4),esk54_4(X1,X2,X3,X4))
| X2 = esk48_4(X1,X2,X3,X4)
| X2 = 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_76]),
[final] ).
cnf(i_0_280,plain,
( X1 = esk49_4(X1,X2,X3,X4)
| X1 = esk45_4(X1,X2,X3,X4)
| epred1_4(X4,X3,X2,X1)
| esk53_4(X1,X2,X3,X4) != esk56_4(X1,X2,X3,X4)
| ~ epred2_4(X4,X3,X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_76]),
[final] ).
cnf(i_0_281,plain,
( X2 = esk48_4(X1,X2,X3,X4)
| X1 = esk45_4(X1,X2,X3,X4)
| epred1_4(X4,X3,X2,X1)
| esk53_4(X1,X2,X3,X4) != esk56_4(X1,X2,X3,X4)
| ~ epred2_4(X4,X3,X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_76]),
[final] ).
cnf(i_0_282,plain,
( X1 = esk49_4(X1,X2,X3,X4)
| X2 = esk46_4(X1,X2,X3,X4)
| epred1_4(X4,X3,X2,X1)
| esk53_4(X1,X2,X3,X4) != esk56_4(X1,X2,X3,X4)
| ~ epred2_4(X4,X3,X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_76]),
[final] ).
cnf(i_0_283,plain,
( X2 = esk48_4(X1,X2,X3,X4)
| X2 = esk46_4(X1,X2,X3,X4)
| epred1_4(X4,X3,X2,X1)
| esk53_4(X1,X2,X3,X4) != esk56_4(X1,X2,X3,X4)
| ~ epred2_4(X4,X3,X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_76]),
[final] ).
cnf(i_0_284,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_78]),
[final] ).
cnf(i_0_285,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_78]),
[final] ).
cnf(i_0_286,plain,
( X3 = vvar(esk39_4(X1,X2,X3,X4))
| esk42_4(X1,X2,X3,X4) != esk43_4(X1,X2,X3,X4)
| ~ epred1_4(X4,X3,X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_79]),
[final] ).
cnf(i_0_287,plain,
( esk38_4(X1,X2,X3,X4) = esk39_4(X1,X2,X3,X4)
| esk42_4(X1,X2,X3,X4) != esk43_4(X1,X2,X3,X4)
| ~ epred1_4(X4,X3,X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_79]),
[final] ).
cnf(i_0_288,plain,
( X1 = esk54_4(X2,X1,X3,X4)
| esk49_4(X2,X1,X3,X4) = esk50_4(X2,X1,X3,X4)
| X1 = 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_76]),
[final] ).
cnf(i_0_289,plain,
( X1 = esk53_4(X1,X2,X3,X4)
| esk49_4(X1,X2,X3,X4) = esk50_4(X1,X2,X3,X4)
| X1 = esk45_4(X1,X2,X3,X4)
| epred1_4(X4,X3,X2,X1)
| ~ epred2_4(X4,X3,X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_76]),
[final] ).
cnf(i_0_290,plain,
( X1 = esk53_4(X1,X2,X3,X4)
| esk49_4(X1,X2,X3,X4) = esk50_4(X1,X2,X3,X4)
| X2 = 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_76]),
[final] ).
cnf(i_0_291,plain,
( X1 = esk54_4(X2,X1,X3,X4)
| esk49_4(X2,X1,X3,X4) = esk50_4(X2,X1,X3,X4)
| X2 = esk45_4(X2,X1,X3,X4)
| epred1_4(X4,X3,X1,X2)
| ~ epred2_4(X4,X3,X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_76]),
[final] ).
cnf(i_0_292,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_80]),
[final] ).
cnf(i_0_293,plain,
( X1 = esk38_4(X1,X2,X3,X4)
| esk42_4(X1,X2,X3,X4) != esk43_4(X1,X2,X3,X4)
| ~ epred1_4(X4,X3,X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_79]),
[final] ).
cnf(i_0_294,plain,
( X2 = esk40_4(X1,X2,X3,X4)
| esk42_4(X1,X2,X3,X4) != esk43_4(X1,X2,X3,X4)
| ~ epred1_4(X4,X3,X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_79]),
[final] ).
cnf(i_0_295,plain,
( X4 = esk40_4(X1,X2,X3,X4)
| esk42_4(X1,X2,X3,X4) != esk43_4(X1,X2,X3,X4)
| ~ epred1_4(X4,X3,X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_79]),
[final] ).
cnf(i_0_296,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_81]),
[final] ).
cnf(i_0_297,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_81]),
[final] ).
cnf(i_0_298,plain,
( X1 = vvar(esk43_4(X2,X3,X1,X4))
| X1 = vvar(esk39_4(X2,X3,X1,X4))
| ~ epred1_4(X4,X1,X3,X2) ),
inference(split_conjunct,[status(thm)],[i_0_79]),
[final] ).
cnf(i_0_299,plain,
( X1 = vvar(esk43_4(X2,X3,X4,X1))
| X4 = vvar(esk39_4(X2,X3,X4,X1))
| ~ epred1_4(X1,X4,X3,X2) ),
inference(split_conjunct,[status(thm)],[i_0_79]),
[final] ).
cnf(i_0_300,plain,
( X1 = esk54_4(X2,X1,X3,X4)
| X1 = esk48_4(X2,X1,X3,X4)
| X1 = 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_76]),
[final] ).
cnf(i_0_301,plain,
( X1 = esk53_4(X1,X2,X3,X4)
| X1 = esk49_4(X1,X2,X3,X4)
| X1 = esk45_4(X1,X2,X3,X4)
| epred1_4(X4,X3,X2,X1)
| ~ epred2_4(X4,X3,X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_76]),
[final] ).
cnf(i_0_302,plain,
( X1 = esk54_4(X2,X1,X3,X4)
| X2 = esk49_4(X2,X1,X3,X4)
| X1 = 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_76]),
[final] ).
cnf(i_0_303,plain,
( X1 = esk53_4(X1,X2,X3,X4)
| X2 = esk48_4(X1,X2,X3,X4)
| X1 = esk45_4(X1,X2,X3,X4)
| epred1_4(X4,X3,X2,X1)
| ~ epred2_4(X4,X3,X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_76]),
[final] ).
cnf(i_0_304,plain,
( X1 = esk53_4(X1,X2,X3,X4)
| X1 = esk49_4(X1,X2,X3,X4)
| X2 = 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_76]),
[final] ).
cnf(i_0_305,plain,
( X1 = esk53_4(X1,X2,X3,X4)
| X2 = esk48_4(X1,X2,X3,X4)
| X2 = 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_76]),
[final] ).
cnf(i_0_306,plain,
( X1 = esk54_4(X2,X1,X3,X4)
| X1 = esk48_4(X2,X1,X3,X4)
| X2 = esk45_4(X2,X1,X3,X4)
| epred1_4(X4,X3,X1,X2)
| ~ epred2_4(X4,X3,X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_76]),
[final] ).
cnf(i_0_307,plain,
( X1 = esk54_4(X2,X1,X3,X4)
| X2 = esk49_4(X2,X1,X3,X4)
| X2 = esk45_4(X2,X1,X3,X4)
| epred1_4(X4,X3,X1,X2)
| ~ epred2_4(X4,X3,X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_76]),
[final] ).
cnf(i_0_308,plain,
( X1 = vvar(esk43_4(X2,X3,X1,X4))
| esk38_4(X2,X3,X1,X4) = esk39_4(X2,X3,X1,X4)
| ~ epred1_4(X4,X1,X3,X2) ),
inference(split_conjunct,[status(thm)],[i_0_79]),
[final] ).
cnf(i_0_309,plain,
( X1 = vvar(esk43_4(X2,X3,X4,X1))
| esk38_4(X2,X3,X4,X1) = esk39_4(X2,X3,X4,X1)
| ~ epred1_4(X1,X4,X3,X2) ),
inference(split_conjunct,[status(thm)],[i_0_79]),
[final] ).
cnf(i_0_310,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_81]),
[final] ).
cnf(i_0_311,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_81]),
[final] ).
cnf(i_0_312,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_81]),
[final] ).
cnf(i_0_313,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_81]),
[final] ).
cnf(i_0_314,plain,
( X1 = vapp(vabs(esk70_2(X1,X2),esk68_2(X1,X2),esk72_2(X1,X2)),esk71_2(X1,X2))
| X2 = vsomeExp(vapp(vabs(esk64_2(X1,X2),esk65_2(X1,X2),esk66_2(X1,X2)),vgetSomeExp(esk67_2(X1,X2))))
| X1 = vabs(esk60_2(X1,X2),esk61_2(X1,X2),esk62_2(X1,X2))
| X1 = vvar(esk59_2(X1,X2))
| ~ epred3_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_64]),
[final] ).
cnf(i_0_315,plain,
( X1 = esk42_4(X1,X2,X3,X4)
| X3 = vvar(esk39_4(X1,X2,X3,X4))
| ~ epred1_4(X4,X3,X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_79]),
[final] ).
cnf(i_0_316,plain,
( X1 = esk41_4(X2,X1,X3,X4)
| X3 = vvar(esk39_4(X2,X1,X3,X4))
| ~ epred1_4(X4,X3,X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_79]),
[final] ).
cnf(i_0_317,plain,
( X1 = vvar(esk43_4(X2,X3,X4,X1))
| X1 = esk40_4(X2,X3,X4,X1)
| ~ epred1_4(X1,X4,X3,X2) ),
inference(split_conjunct,[status(thm)],[i_0_79]),
[final] ).
cnf(i_0_318,plain,
( X1 = vvar(esk43_4(X2,X3,X1,X4))
| X2 = esk38_4(X2,X3,X1,X4)
| ~ epred1_4(X4,X1,X3,X2) ),
inference(split_conjunct,[status(thm)],[i_0_79]),
[final] ).
cnf(i_0_319,plain,
( X1 = vvar(esk43_4(X2,X3,X4,X1))
| X2 = esk38_4(X2,X3,X4,X1)
| ~ epred1_4(X1,X4,X3,X2) ),
inference(split_conjunct,[status(thm)],[i_0_79]),
[final] ).
cnf(i_0_320,plain,
( X1 = vvar(esk43_4(X2,X3,X1,X4))
| X3 = esk40_4(X2,X3,X1,X4)
| ~ epred1_4(X4,X1,X3,X2) ),
inference(split_conjunct,[status(thm)],[i_0_79]),
[final] ).
cnf(i_0_321,plain,
( X1 = vvar(esk43_4(X2,X3,X4,X1))
| X3 = esk40_4(X2,X3,X4,X1)
| ~ epred1_4(X1,X4,X3,X2) ),
inference(split_conjunct,[status(thm)],[i_0_79]),
[final] ).
cnf(i_0_322,plain,
( X1 = vvar(esk43_4(X2,X3,X1,X4))
| X4 = esk40_4(X2,X3,X1,X4)
| ~ epred1_4(X4,X1,X3,X2) ),
inference(split_conjunct,[status(thm)],[i_0_79]),
[final] ).
cnf(i_0_323,plain,
( X1 = vapp(vabs(esk70_2(X1,X2),esk68_2(X1,X2),esk72_2(X1,X2)),esk71_2(X1,X2))
| X2 = vsomeExp(vapp(vabs(esk64_2(X1,X2),esk65_2(X1,X2),esk66_2(X1,X2)),vgetSomeExp(esk67_2(X1,X2))))
| X1 = vabs(esk60_2(X1,X2),esk61_2(X1,X2),esk62_2(X1,X2))
| X2 = vnoExp
| ~ epred3_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_64]),
[final] ).
cnf(i_0_324,plain,
( X1 = esk42_4(X1,X2,X3,X4)
| esk38_4(X1,X2,X3,X4) = esk39_4(X1,X2,X3,X4)
| ~ epred1_4(X4,X3,X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_79]),
[final] ).
cnf(i_0_325,plain,
( X1 = esk41_4(X2,X1,X3,X4)
| esk38_4(X2,X1,X3,X4) = esk39_4(X2,X1,X3,X4)
| ~ epred1_4(X4,X3,X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_79]),
[final] ).
cnf(i_0_326,plain,
( X1 = vsomeExp(vsubst(esk70_2(X2,X1),esk71_2(X2,X1),esk72_2(X2,X1)))
| X1 = vsomeExp(vapp(vabs(esk64_2(X2,X1),esk65_2(X2,X1),esk66_2(X2,X1)),vgetSomeExp(esk67_2(X2,X1))))
| X2 = vabs(esk60_2(X2,X1),esk61_2(X2,X1),esk62_2(X2,X1))
| X2 = vvar(esk59_2(X2,X1))
| ~ epred3_2(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_64]),
[final] ).
cnf(i_0_327,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_78]),
[final] ).
cnf(i_0_328,plain,
( X1 = vsomeExp(vsubst(esk70_2(X2,X1),esk71_2(X2,X1),esk72_2(X2,X1)))
| X1 = vsomeExp(vapp(vabs(esk64_2(X2,X1),esk65_2(X2,X1),esk66_2(X2,X1)),vgetSomeExp(esk67_2(X2,X1))))
| X2 = vabs(esk60_2(X2,X1),esk61_2(X2,X1),esk62_2(X2,X1))
| X1 = vnoExp
| ~ epred3_2(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_64]),
[final] ).
cnf(i_0_329,plain,
( X1 = vapp(vabs(esk70_2(X1,X2),esk68_2(X1,X2),esk72_2(X1,X2)),esk71_2(X1,X2))
| X2 = vsomeExp(vapp(vabs(esk64_2(X1,X2),esk65_2(X1,X2),esk66_2(X1,X2)),vgetSomeExp(esk67_2(X1,X2))))
| X2 = vnoExp
| X1 = vvar(esk59_2(X1,X2))
| ~ epred3_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_64]),
[final] ).
cnf(i_0_330,plain,
( X2 = vnoExp
| X1 = vapp(vabs(esk70_2(X1,X2),esk68_2(X1,X2),esk72_2(X1,X2)),esk71_2(X1,X2))
| X2 = vsomeExp(vapp(vabs(esk64_2(X1,X2),esk65_2(X1,X2),esk66_2(X1,X2)),vgetSomeExp(esk67_2(X1,X2))))
| ~ epred3_2(X2,X1) ),
inference(cn,[status(thm)],[i_0_82]),
[final] ).
cnf(i_0_331,plain,
( X1 = vsomeExp(vsubst(esk70_2(X2,X1),esk71_2(X2,X1),esk72_2(X2,X1)))
| X1 = vsomeExp(vapp(vabs(esk64_2(X2,X1),esk65_2(X2,X1),esk66_2(X2,X1)),vgetSomeExp(esk67_2(X2,X1))))
| X1 = vnoExp
| X2 = vvar(esk59_2(X2,X1))
| ~ epred3_2(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_64]),
[final] ).
cnf(i_0_332,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_81]),
[final] ).
cnf(i_0_333,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_81]),
[final] ).
cnf(i_0_334,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_83]),
[final] ).
cnf(i_0_335,plain,
( X1 = vnoExp
| X1 = vsomeExp(vsubst(esk70_2(X2,X1),esk71_2(X2,X1),esk72_2(X2,X1)))
| X1 = vsomeExp(vapp(vabs(esk64_2(X2,X1),esk65_2(X2,X1),esk66_2(X2,X1)),vgetSomeExp(esk67_2(X2,X1))))
| ~ epred3_2(X1,X2) ),
inference(cn,[status(thm)],[i_0_84]),
[final] ).
cnf(i_0_336,plain,
( X2 = vsomeExp(vapp(vabs(esk64_2(X1,X2),esk65_2(X1,X2),esk66_2(X1,X2)),vgetSomeExp(esk67_2(X1,X2))))
| X1 = vabs(esk60_2(X1,X2),esk61_2(X1,X2),esk62_2(X1,X2))
| X1 = vvar(esk59_2(X1,X2))
| ~ visSomeExp(esk69_2(X1,X2))
| ~ epred3_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_64]),
[final] ).
cnf(i_0_337,plain,
( esk69_2(X1,X2) = vreduce(esk71_2(X1,X2))
| X2 = vsomeExp(vapp(vabs(esk64_2(X1,X2),esk65_2(X1,X2),esk66_2(X1,X2)),vgetSomeExp(esk67_2(X1,X2))))
| X1 = vabs(esk60_2(X1,X2),esk61_2(X1,X2),esk62_2(X1,X2))
| X1 = vvar(esk59_2(X1,X2))
| ~ epred3_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_64]),
[final] ).
cnf(i_0_338,plain,
( visValue(esk71_2(X1,X2))
| X2 = vsomeExp(vapp(vabs(esk64_2(X1,X2),esk65_2(X1,X2),esk66_2(X1,X2)),vgetSomeExp(esk67_2(X1,X2))))
| X1 = vabs(esk60_2(X1,X2),esk61_2(X1,X2),esk62_2(X1,X2))
| X1 = vvar(esk59_2(X1,X2))
| ~ epred3_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_64]),
[final] ).
cnf(i_0_339,plain,
( X1 = esk41_4(X2,X1,X3,X4)
| X1 = esk40_4(X2,X1,X3,X4)
| ~ epred1_4(X4,X3,X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_79]),
[final] ).
cnf(i_0_340,plain,
( X1 = esk42_4(X1,X2,X3,X4)
| X1 = esk38_4(X1,X2,X3,X4)
| ~ epred1_4(X4,X3,X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_79]),
[final] ).
cnf(i_0_341,plain,
( X1 = esk42_4(X1,X2,X3,X4)
| X2 = esk40_4(X1,X2,X3,X4)
| ~ epred1_4(X4,X3,X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_79]),
[final] ).
cnf(i_0_342,plain,
( X1 = esk41_4(X2,X1,X3,X4)
| X2 = esk38_4(X2,X1,X3,X4)
| ~ epred1_4(X4,X3,X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_79]),
[final] ).
cnf(i_0_343,plain,
( X1 = esk42_4(X1,X2,X3,X4)
| X4 = esk40_4(X1,X2,X3,X4)
| ~ epred1_4(X4,X3,X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_79]),
[final] ).
cnf(i_0_344,plain,
( X1 = esk41_4(X2,X1,X3,X4)
| X4 = esk40_4(X2,X1,X3,X4)
| ~ epred1_4(X4,X3,X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_79]),
[final] ).
cnf(i_0_345,plain,
( X2 = vsomeExp(vapp(vabs(esk64_2(X1,X2),esk65_2(X1,X2),esk66_2(X1,X2)),vgetSomeExp(esk67_2(X1,X2))))
| X1 = vabs(esk60_2(X1,X2),esk61_2(X1,X2),esk62_2(X1,X2))
| X2 = vnoExp
| ~ visSomeExp(esk69_2(X1,X2))
| ~ epred3_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_64]),
[final] ).
cnf(i_0_346,plain,
( esk69_2(X1,X2) = vreduce(esk71_2(X1,X2))
| X2 = vsomeExp(vapp(vabs(esk64_2(X1,X2),esk65_2(X1,X2),esk66_2(X1,X2)),vgetSomeExp(esk67_2(X1,X2))))
| X1 = vabs(esk60_2(X1,X2),esk61_2(X1,X2),esk62_2(X1,X2))
| X2 = vnoExp
| ~ epred3_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_64]),
[final] ).
cnf(i_0_347,plain,
( visValue(esk71_2(X1,X2))
| X2 = vsomeExp(vapp(vabs(esk64_2(X1,X2),esk65_2(X1,X2),esk66_2(X1,X2)),vgetSomeExp(esk67_2(X1,X2))))
| X1 = vabs(esk60_2(X1,X2),esk61_2(X1,X2),esk62_2(X1,X2))
| X2 = vnoExp
| ~ epred3_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_64]),
[final] ).
cnf(i_0_348,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_81]),
[final] ).
cnf(i_0_349,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_81]),
[final] ).
cnf(i_0_350,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_81]),
[final] ).
cnf(i_0_351,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_85]),
[final] ).
cnf(i_0_352,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_81]),
[final] ).
cnf(i_0_353,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_81]),
[final] ).
cnf(i_0_354,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_81]),
[final] ).
cnf(i_0_355,plain,
( X1 = vapp(vabs(esk70_2(X1,X2),esk68_2(X1,X2),esk72_2(X1,X2)),esk71_2(X1,X2))
| X1 = vapp(vabs(esk64_2(X1,X2),esk65_2(X1,X2),esk66_2(X1,X2)),esk63_2(X1,X2))
| X1 = vabs(esk60_2(X1,X2),esk61_2(X1,X2),esk62_2(X1,X2))
| X1 = vvar(esk59_2(X1,X2))
| ~ epred3_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_64]),
[final] ).
cnf(i_0_356,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_85]),
[final] ).
cnf(i_0_357,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_85]),
[final] ).
cnf(i_0_358,plain,
( X2 = vsomeExp(vapp(vabs(esk64_2(X1,X2),esk65_2(X1,X2),esk66_2(X1,X2)),vgetSomeExp(esk67_2(X1,X2))))
| X2 = vnoExp
| X1 = vvar(esk59_2(X1,X2))
| ~ visSomeExp(esk69_2(X1,X2))
| ~ epred3_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_64]),
[final] ).
cnf(i_0_359,plain,
( esk69_2(X1,X2) = vreduce(esk71_2(X1,X2))
| X2 = vsomeExp(vapp(vabs(esk64_2(X1,X2),esk65_2(X1,X2),esk66_2(X1,X2)),vgetSomeExp(esk67_2(X1,X2))))
| X2 = vnoExp
| X1 = vvar(esk59_2(X1,X2))
| ~ epred3_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_64]),
[final] ).
cnf(i_0_360,plain,
( X1 = vapp(vabs(esk70_2(X1,X2),esk68_2(X1,X2),esk72_2(X1,X2)),esk71_2(X1,X2))
| X1 = vapp(vabs(esk64_2(X1,X2),esk65_2(X1,X2),esk66_2(X1,X2)),esk63_2(X1,X2))
| X1 = vabs(esk60_2(X1,X2),esk61_2(X1,X2),esk62_2(X1,X2))
| X2 = vnoExp
| ~ epred3_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_64]),
[final] ).
cnf(i_0_361,plain,
( X1 = vsomeExp(vsubst(esk70_2(X2,X1),esk71_2(X2,X1),esk72_2(X2,X1)))
| X2 = vapp(vabs(esk64_2(X2,X1),esk65_2(X2,X1),esk66_2(X2,X1)),esk63_2(X2,X1))
| X2 = vabs(esk60_2(X2,X1),esk61_2(X2,X1),esk62_2(X2,X1))
| X2 = vvar(esk59_2(X2,X1))
| ~ epred3_2(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_64]),
[final] ).
cnf(i_0_362,plain,
( visValue(esk71_2(X1,X2))
| X2 = vsomeExp(vapp(vabs(esk64_2(X1,X2),esk65_2(X1,X2),esk66_2(X1,X2)),vgetSomeExp(esk67_2(X1,X2))))
| X2 = vnoExp
| X1 = vvar(esk59_2(X1,X2))
| ~ epred3_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_64]),
[final] ).
cnf(i_0_363,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_86]),
[final] ).
cnf(i_0_364,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_87]),
[final] ).
cnf(i_0_365,plain,
( X2 = vnoExp
| X2 = vsomeExp(vapp(vabs(esk64_2(X1,X2),esk65_2(X1,X2),esk66_2(X1,X2)),vgetSomeExp(esk67_2(X1,X2))))
| ~ epred3_2(X2,X1)
| ~ visSomeExp(esk69_2(X1,X2)) ),
inference(cn,[status(thm)],[i_0_88]),
[final] ).
cnf(i_0_366,plain,
( X2 = vnoExp
| esk69_2(X1,X2) = vreduce(esk71_2(X1,X2))
| X2 = vsomeExp(vapp(vabs(esk64_2(X1,X2),esk65_2(X1,X2),esk66_2(X1,X2)),vgetSomeExp(esk67_2(X1,X2))))
| ~ epred3_2(X2,X1) ),
inference(cn,[status(thm)],[i_0_89]),
[final] ).
cnf(i_0_367,plain,
( X1 = vsomeExp(vsubst(esk70_2(X2,X1),esk71_2(X2,X1),esk72_2(X2,X1)))
| X2 = vapp(vabs(esk64_2(X2,X1),esk65_2(X2,X1),esk66_2(X2,X1)),esk63_2(X2,X1))
| X2 = vabs(esk60_2(X2,X1),esk61_2(X2,X1),esk62_2(X2,X1))
| X1 = vnoExp
| ~ epred3_2(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_64]),
[final] ).
cnf(i_0_368,plain,
( X2 = vnoExp
| X2 = vsomeExp(vapp(vabs(esk64_2(X1,X2),esk65_2(X1,X2),esk66_2(X1,X2)),vgetSomeExp(esk67_2(X1,X2))))
| visValue(esk71_2(X1,X2))
| ~ epred3_2(X2,X1) ),
inference(cn,[status(thm)],[i_0_90]),
[final] ).
cnf(i_0_369,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_81]),
[final] ).
cnf(i_0_370,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_81]),
[final] ).
cnf(i_0_371,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_85]),
[final] ).
cnf(i_0_372,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_81]),
[final] ).
cnf(i_0_373,plain,
( X1 = vapp(vabs(esk70_2(X1,X2),esk68_2(X1,X2),esk72_2(X1,X2)),esk71_2(X1,X2))
| X1 = vapp(vabs(esk64_2(X1,X2),esk65_2(X1,X2),esk66_2(X1,X2)),esk63_2(X1,X2))
| X2 = vnoExp
| X1 = vvar(esk59_2(X1,X2))
| ~ epred3_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_64]),
[final] ).
cnf(i_0_374,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_81]),
[final] ).
cnf(i_0_375,plain,
( X2 = vnoExp
| X1 = vapp(vabs(esk64_2(X1,X2),esk65_2(X1,X2),esk66_2(X1,X2)),esk63_2(X1,X2))
| X1 = vapp(vabs(esk70_2(X1,X2),esk68_2(X1,X2),esk72_2(X1,X2)),esk71_2(X1,X2))
| ~ epred3_2(X2,X1) ),
inference(cn,[status(thm)],[i_0_91]),
[final] ).
cnf(i_0_376,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_85]),
[final] ).
cnf(i_0_377,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_85]),
[final] ).
cnf(i_0_378,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_85]),
[final] ).
cnf(i_0_379,plain,
( X1 = vsomeExp(vsubst(esk70_2(X2,X1),esk71_2(X2,X1),esk72_2(X2,X1)))
| X2 = vapp(vabs(esk64_2(X2,X1),esk65_2(X2,X1),esk66_2(X2,X1)),esk63_2(X2,X1))
| X1 = vnoExp
| X2 = vvar(esk59_2(X2,X1))
| ~ epred3_2(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_64]),
[final] ).
cnf(i_0_380,plain,
( X1 = vnoExp
| X1 = vsomeExp(vsubst(esk70_2(X2,X1),esk71_2(X2,X1),esk72_2(X2,X1)))
| X2 = vapp(vabs(esk64_2(X2,X1),esk65_2(X2,X1),esk66_2(X2,X1)),esk63_2(X2,X1))
| ~ epred3_2(X1,X2) ),
inference(cn,[status(thm)],[i_0_92]),
[final] ).
cnf(i_0_381,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_78]),
[final] ).
cnf(i_0_382,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_78]),
[final] ).
cnf(i_0_383,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_85]),
[final] ).
cnf(i_0_384,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_85]),
[final] ).
cnf(i_0_385,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_85]),
[final] ).
cnf(i_0_386,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_85]),
[final] ).
cnf(i_0_387,plain,
( vtcheck(vbind(X1,X6,X3),vabs(X2,X4,veabs),X5)
| X1 != X2
| vlookup(X1,X3) != vnoType
| ~ vtcheck(X3,vabs(X2,X4,veabs),X5) ),
inference(split_conjunct,[status(thm)],[i_0_93]),
[final] ).
cnf(i_0_388,plain,
( X1 = vsomeExp(vapp(vgetSomeExp(esk79_2(X2,X1)),esk80_2(X2,X1)))
| X2 = vapp(vabs(esk73_2(X2,X1),esk74_2(X2,X1),esk75_2(X2,X1)),esk77_2(X2,X1))
| epred3_2(X1,X2)
| ~ epred4_2(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_94]),
[final] ).
cnf(i_0_389,plain,
( X1 = X2
| vtcheck(vbind(X1,X6,X3),vabs(X2,X4,veabs),X5)
| vlookup(X1,X3) != vnoType
| ~ vtcheck(X3,vabs(X2,X4,veabs),X5) ),
inference(split_conjunct,[status(thm)],[i_0_95]),
[final] ).
cnf(i_0_390,plain,
( X1 = vapp(vabs(esk64_2(X1,X2),esk65_2(X1,X2),esk66_2(X1,X2)),esk63_2(X1,X2))
| X1 = vabs(esk60_2(X1,X2),esk61_2(X1,X2),esk62_2(X1,X2))
| X1 = vvar(esk59_2(X1,X2))
| ~ visSomeExp(esk69_2(X1,X2))
| ~ epred3_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_64]),
[final] ).
cnf(i_0_391,plain,
( esk69_2(X1,X2) = vreduce(esk71_2(X1,X2))
| X1 = vapp(vabs(esk64_2(X1,X2),esk65_2(X1,X2),esk66_2(X1,X2)),esk63_2(X1,X2))
| X1 = vabs(esk60_2(X1,X2),esk61_2(X1,X2),esk62_2(X1,X2))
| X1 = vvar(esk59_2(X1,X2))
| ~ epred3_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_64]),
[final] ).
cnf(i_0_392,plain,
( X1 = vapp(vabs(esk70_2(X1,X2),esk68_2(X1,X2),esk72_2(X1,X2)),esk71_2(X1,X2))
| esk67_2(X1,X2) = vreduce(esk63_2(X1,X2))
| X1 = vabs(esk60_2(X1,X2),esk61_2(X1,X2),esk62_2(X1,X2))
| X1 = vvar(esk59_2(X1,X2))
| ~ epred3_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_64]),
[final] ).
cnf(i_0_393,plain,
( X1 = vapp(vabs(esk70_2(X1,X2),esk68_2(X1,X2),esk72_2(X1,X2)),esk71_2(X1,X2))
| visSomeExp(esk67_2(X1,X2))
| X1 = vabs(esk60_2(X1,X2),esk61_2(X1,X2),esk62_2(X1,X2))
| X1 = vvar(esk59_2(X1,X2))
| ~ epred3_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_64]),
[final] ).
cnf(i_0_394,plain,
( visValue(esk71_2(X1,X2))
| X1 = vapp(vabs(esk64_2(X1,X2),esk65_2(X1,X2),esk66_2(X1,X2)),esk63_2(X1,X2))
| X1 = vabs(esk60_2(X1,X2),esk61_2(X1,X2),esk62_2(X1,X2))
| X1 = vvar(esk59_2(X1,X2))
| ~ epred3_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_64]),
[final] ).
cnf(i_0_395,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_85]),
[final] ).
cnf(i_0_396,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_85]),
[final] ).
cnf(i_0_397,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_85]),
[final] ).
cnf(i_0_398,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_85]),
[final] ).
cnf(i_0_399,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_85]),
[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)
| X3 = vnoType
| vlookup(X2,X1) != X3 ),
inference(split_conjunct,[status(thm)],[i_0_85]),
[final] ).
cnf(i_0_401,plain,
( X1 = vapp(vabs(esk64_2(X1,X2),esk65_2(X1,X2),esk66_2(X1,X2)),esk63_2(X1,X2))
| X1 = vabs(esk60_2(X1,X2),esk61_2(X1,X2),esk62_2(X1,X2))
| X2 = vnoExp
| ~ visSomeExp(esk69_2(X1,X2))
| ~ epred3_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_64]),
[final] ).
cnf(i_0_402,plain,
( esk69_2(X1,X2) = vreduce(esk71_2(X1,X2))
| X1 = vapp(vabs(esk64_2(X1,X2),esk65_2(X1,X2),esk66_2(X1,X2)),esk63_2(X1,X2))
| X1 = vabs(esk60_2(X1,X2),esk61_2(X1,X2),esk62_2(X1,X2))
| X2 = vnoExp
| ~ epred3_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_64]),
[final] ).
cnf(i_0_403,plain,
( X1 = vapp(vabs(esk70_2(X1,X2),esk68_2(X1,X2),esk72_2(X1,X2)),esk71_2(X1,X2))
| esk67_2(X1,X2) = vreduce(esk63_2(X1,X2))
| X1 = vabs(esk60_2(X1,X2),esk61_2(X1,X2),esk62_2(X1,X2))
| X2 = vnoExp
| ~ epred3_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_64]),
[final] ).
cnf(i_0_404,plain,
( X1 = vsomeExp(vsubst(esk70_2(X2,X1),esk71_2(X2,X1),esk72_2(X2,X1)))
| esk67_2(X2,X1) = vreduce(esk63_2(X2,X1))
| X2 = vabs(esk60_2(X2,X1),esk61_2(X2,X1),esk62_2(X2,X1))
| X2 = vvar(esk59_2(X2,X1))
| ~ epred3_2(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_64]),
[final] ).
cnf(i_0_405,plain,
( X1 = vapp(vabs(esk70_2(X1,X2),esk68_2(X1,X2),esk72_2(X1,X2)),esk71_2(X1,X2))
| visSomeExp(esk67_2(X1,X2))
| X1 = vabs(esk60_2(X1,X2),esk61_2(X1,X2),esk62_2(X1,X2))
| X2 = vnoExp
| ~ epred3_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_64]),
[final] ).
cnf(i_0_406,plain,
( visValue(esk71_2(X1,X2))
| X1 = vapp(vabs(esk64_2(X1,X2),esk65_2(X1,X2),esk66_2(X1,X2)),esk63_2(X1,X2))
| X1 = vabs(esk60_2(X1,X2),esk61_2(X1,X2),esk62_2(X1,X2))
| X2 = vnoExp
| ~ epred3_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_64]),
[final] ).
cnf(i_0_407,plain,
( X1 = vsomeExp(vsubst(esk70_2(X2,X1),esk71_2(X2,X1),esk72_2(X2,X1)))
| visSomeExp(esk67_2(X2,X1))
| X2 = vabs(esk60_2(X2,X1),esk61_2(X2,X1),esk62_2(X2,X1))
| X2 = vvar(esk59_2(X2,X1))
| ~ epred3_2(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_64]),
[final] ).
cnf(i_0_408,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_96]),
[final] ).
cnf(i_0_409,plain,
( X1 = vsomeExp(vsubst(esk70_2(X2,X1),esk71_2(X2,X1),esk72_2(X2,X1)))
| esk67_2(X2,X1) = vreduce(esk63_2(X2,X1))
| X2 = vabs(esk60_2(X2,X1),esk61_2(X2,X1),esk62_2(X2,X1))
| X1 = vnoExp
| ~ epred3_2(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_64]),
[final] ).
cnf(i_0_410,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_85]),
[final] ).
cnf(i_0_411,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_85]),
[final] ).
cnf(i_0_412,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_85]),
[final] ).
cnf(i_0_413,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_85]),
[final] ).
cnf(i_0_414,plain,
( X1 = vsomeExp(vsubst(esk70_2(X2,X1),esk71_2(X2,X1),esk72_2(X2,X1)))
| visSomeExp(esk67_2(X2,X1))
| X2 = vabs(esk60_2(X2,X1),esk61_2(X2,X1),esk62_2(X2,X1))
| X1 = vnoExp
| ~ epred3_2(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_64]),
[final] ).
cnf(i_0_415,plain,
( X1 = vapp(vabs(esk73_2(X1,X2),esk74_2(X1,X2),esk75_2(X1,X2)),esk77_2(X1,X2))
| epred3_2(X2,X1)
| esk78_2(X1,X2) != vabs(X3,X4,X5)
| ~ epred4_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_94]),
[final] ).
cnf(i_0_416,plain,
( vtcheck(X3,vabs(X1,X2,X4),varrow(X2,X5))
| ~ vtcheck(vbind(X1,X2,X3),X4,X5) ),
inference(split_conjunct,[status(thm)],[i_0_97]),
[final] ).
cnf(i_0_417,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_85]),
[final] ).
cnf(i_0_418,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_85]),
[final] ).
cnf(i_0_419,plain,
( X1 = vapp(esk78_2(X1,X2),esk80_2(X1,X2))
| X1 = vapp(vabs(esk73_2(X1,X2),esk74_2(X1,X2),esk75_2(X1,X2)),esk77_2(X1,X2))
| epred3_2(X2,X1)
| ~ epred4_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_94]),
[final] ).
cnf(i_0_420,plain,
( X1 = vapp(vabs(esk64_2(X1,X2),esk65_2(X1,X2),esk66_2(X1,X2)),esk63_2(X1,X2))
| X2 = vnoExp
| X1 = vvar(esk59_2(X1,X2))
| ~ visSomeExp(esk69_2(X1,X2))
| ~ epred3_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_64]),
[final] ).
cnf(i_0_421,plain,
( esk69_2(X1,X2) = vreduce(esk71_2(X1,X2))
| X1 = vapp(vabs(esk64_2(X1,X2),esk65_2(X1,X2),esk66_2(X1,X2)),esk63_2(X1,X2))
| X2 = vnoExp
| X1 = vvar(esk59_2(X1,X2))
| ~ epred3_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_64]),
[final] ).
cnf(i_0_422,plain,
( X1 = vapp(vabs(esk70_2(X1,X2),esk68_2(X1,X2),esk72_2(X1,X2)),esk71_2(X1,X2))
| esk67_2(X1,X2) = vreduce(esk63_2(X1,X2))
| X2 = vnoExp
| X1 = vvar(esk59_2(X1,X2))
| ~ epred3_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_64]),
[final] ).
cnf(i_0_423,negated_conjecture,
~ vtcheck(vbind(esk32_0,esk33_0,esk34_0),vabs(esk35_0,esk36_0,veabs),esk37_0),
inference(split_conjunct,[status(thm)],[i_0_98]),
[final] ).
cnf(i_0_424,plain,
( X1 = vapp(vabs(esk70_2(X1,X2),esk68_2(X1,X2),esk72_2(X1,X2)),esk71_2(X1,X2))
| visSomeExp(esk67_2(X1,X2))
| X2 = vnoExp
| X1 = vvar(esk59_2(X1,X2))
| ~ epred3_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_64]),
[final] ).
cnf(i_0_425,plain,
( visValue(esk71_2(X1,X2))
| X1 = vapp(vabs(esk64_2(X1,X2),esk65_2(X1,X2),esk66_2(X1,X2)),esk63_2(X1,X2))
| X2 = vnoExp
| X1 = vvar(esk59_2(X1,X2))
| ~ epred3_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_64]),
[final] ).
cnf(i_0_426,plain,
( esk79_2(X1,X2) = vreduce(esk78_2(X1,X2))
| X1 = vapp(vabs(esk73_2(X1,X2),esk74_2(X1,X2),esk75_2(X1,X2)),esk77_2(X1,X2))
| epred3_2(X2,X1)
| ~ epred4_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_94]),
[final] ).
cnf(i_0_427,plain,
( X2 = vnoExp
| X1 = vapp(vabs(esk64_2(X1,X2),esk65_2(X1,X2),esk66_2(X1,X2)),esk63_2(X1,X2))
| ~ epred3_2(X2,X1)
| ~ visSomeExp(esk69_2(X1,X2)) ),
inference(cn,[status(thm)],[i_0_99]),
[final] ).
cnf(i_0_428,plain,
( X2 = vnoExp
| esk69_2(X1,X2) = vreduce(esk71_2(X1,X2))
| X1 = vapp(vabs(esk64_2(X1,X2),esk65_2(X1,X2),esk66_2(X1,X2)),esk63_2(X1,X2))
| ~ epred3_2(X2,X1) ),
inference(cn,[status(thm)],[i_0_100]),
[final] ).
cnf(i_0_429,plain,
( X2 = vnoExp
| esk67_2(X1,X2) = vreduce(esk63_2(X1,X2))
| X1 = vapp(vabs(esk70_2(X1,X2),esk68_2(X1,X2),esk72_2(X1,X2)),esk71_2(X1,X2))
| ~ epred3_2(X2,X1) ),
inference(cn,[status(thm)],[i_0_101]),
[final] ).
cnf(i_0_430,plain,
( visSomeExp(esk79_2(X1,X2))
| X1 = vapp(vabs(esk73_2(X1,X2),esk74_2(X1,X2),esk75_2(X1,X2)),esk77_2(X1,X2))
| epred3_2(X2,X1)
| ~ epred4_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_94]),
[final] ).
cnf(i_0_431,plain,
( X1 = vsomeExp(vsubst(esk70_2(X2,X1),esk71_2(X2,X1),esk72_2(X2,X1)))
| esk67_2(X2,X1) = vreduce(esk63_2(X2,X1))
| X1 = vnoExp
| X2 = vvar(esk59_2(X2,X1))
| ~ epred3_2(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_64]),
[final] ).
cnf(i_0_432,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_85]),
[final] ).
cnf(i_0_433,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_85]),
[final] ).
cnf(i_0_434,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_85]),
[final] ).
cnf(i_0_435,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_85]),
[final] ).
cnf(i_0_436,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_85]),
[final] ).
cnf(i_0_437,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_85]),
[final] ).
cnf(i_0_438,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_102]),
[final] ).
cnf(i_0_439,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_85]),
[final] ).
cnf(i_0_440,plain,
( X2 = vnoExp
| X1 = vapp(vabs(esk70_2(X1,X2),esk68_2(X1,X2),esk72_2(X1,X2)),esk71_2(X1,X2))
| visSomeExp(esk67_2(X1,X2))
| ~ epred3_2(X2,X1) ),
inference(cn,[status(thm)],[i_0_103]),
[final] ).
cnf(i_0_441,plain,
( X2 = vnoExp
| X1 = vapp(vabs(esk64_2(X1,X2),esk65_2(X1,X2),esk66_2(X1,X2)),esk63_2(X1,X2))
| visValue(esk71_2(X1,X2))
| ~ epred3_2(X2,X1) ),
inference(cn,[status(thm)],[i_0_104]),
[final] ).
cnf(i_0_442,plain,
( X1 = vsomeExp(vsubst(esk70_2(X2,X1),esk71_2(X2,X1),esk72_2(X2,X1)))
| visSomeExp(esk67_2(X2,X1))
| X1 = vnoExp
| X2 = vvar(esk59_2(X2,X1))
| ~ epred3_2(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_64]),
[final] ).
cnf(i_0_443,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_105]),
[final] ).
cnf(i_0_444,plain,
( X1 = vnoExp
| esk67_2(X2,X1) = vreduce(esk63_2(X2,X1))
| X1 = vsomeExp(vsubst(esk70_2(X2,X1),esk71_2(X2,X1),esk72_2(X2,X1)))
| ~ epred3_2(X1,X2) ),
inference(cn,[status(thm)],[i_0_106]),
[final] ).
cnf(i_0_445,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_107]),
[final] ).
cnf(i_0_446,plain,
( X1 = vnoExp
| X1 = vsomeExp(vsubst(esk70_2(X2,X1),esk71_2(X2,X1),esk72_2(X2,X1)))
| visSomeExp(esk67_2(X2,X1))
| ~ epred3_2(X1,X2) ),
inference(cn,[status(thm)],[i_0_108]),
[final] ).
cnf(i_0_447,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_85]),
[final] ).
cnf(i_0_448,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_85]),
[final] ).
cnf(i_0_449,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_85]),
[final] ).
cnf(i_0_450,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_85]),
[final] ).
cnf(i_0_451,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_85]),
[final] ).
cnf(i_0_452,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_85]),
[final] ).
cnf(i_0_453,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_85]),
[final] ).
cnf(i_0_454,plain,
( vtcheck(X1,vapp(X2,X5),X4)
| ~ vtcheck(X1,X2,varrow(X3,X4))
| ~ vtcheck(X1,X5,X3) ),
inference(split_conjunct,[status(thm)],[i_0_109]),
[final] ).
cnf(i_0_455,plain,
( X1 = vsomeExp(vapp(vgetSomeExp(esk79_2(X2,X1)),esk80_2(X2,X1)))
| epred3_2(X1,X2)
| ~ visSomeExp(esk76_2(X2,X1))
| ~ epred4_2(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_94]),
[final] ).
cnf(i_0_456,plain,
( X1 = vsomeExp(vapp(vgetSomeExp(esk79_2(X2,X1)),esk80_2(X2,X1)))
| epred3_2(X1,X2)
| ~ visValue(esk77_2(X2,X1))
| ~ epred4_2(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_94]),
[final] ).
cnf(i_0_457,plain,
( X1 = vsomeExp(vapp(vgetSomeExp(esk79_2(X2,X1)),esk80_2(X2,X1)))
| esk76_2(X2,X1) = vreduce(esk77_2(X2,X1))
| epred3_2(X1,X2)
| ~ epred4_2(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_94]),
[final] ).
cnf(i_0_458,plain,
( esk67_2(X1,X2) = vreduce(esk63_2(X1,X2))
| X1 = vabs(esk60_2(X1,X2),esk61_2(X1,X2),esk62_2(X1,X2))
| X1 = vvar(esk59_2(X1,X2))
| ~ visSomeExp(esk69_2(X1,X2))
| ~ epred3_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_64]),
[final] ).
cnf(i_0_459,plain,
( esk69_2(X1,X2) = vreduce(esk71_2(X1,X2))
| esk67_2(X1,X2) = vreduce(esk63_2(X1,X2))
| X1 = vabs(esk60_2(X1,X2),esk61_2(X1,X2),esk62_2(X1,X2))
| X1 = vvar(esk59_2(X1,X2))
| ~ epred3_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_64]),
[final] ).
cnf(i_0_460,plain,
( vtcheck(vbind(X1,X4,X2),veabs,X3)
| vlookup(X1,X2) != vnoType
| ~ vtcheck(X2,veabs,X3) ),
inference(split_conjunct,[status(thm)],[i_0_110]),
[final] ).
cnf(i_0_461,plain,
( visSomeExp(esk67_2(X1,X2))
| X1 = vabs(esk60_2(X1,X2),esk61_2(X1,X2),esk62_2(X1,X2))
| X1 = vvar(esk59_2(X1,X2))
| ~ visSomeExp(esk69_2(X1,X2))
| ~ epred3_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_64]),
[final] ).
cnf(i_0_462,plain,
( esk69_2(X1,X2) = vreduce(esk71_2(X1,X2))
| visSomeExp(esk67_2(X1,X2))
| X1 = vabs(esk60_2(X1,X2),esk61_2(X1,X2),esk62_2(X1,X2))
| X1 = vvar(esk59_2(X1,X2))
| ~ epred3_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_64]),
[final] ).
cnf(i_0_463,plain,
( visValue(esk71_2(X1,X2))
| esk67_2(X1,X2) = vreduce(esk63_2(X1,X2))
| X1 = vabs(esk60_2(X1,X2),esk61_2(X1,X2),esk62_2(X1,X2))
| X1 = vvar(esk59_2(X1,X2))
| ~ epred3_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_64]),
[final] ).
cnf(i_0_464,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_85]),
[final] ).
cnf(i_0_465,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_85]),
[final] ).
cnf(i_0_466,plain,
( esk67_2(X1,X2) = vreduce(esk63_2(X1,X2))
| X1 = vabs(esk60_2(X1,X2),esk61_2(X1,X2),esk62_2(X1,X2))
| X2 = vnoExp
| ~ visSomeExp(esk69_2(X1,X2))
| ~ epred3_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_64]),
[final] ).
cnf(i_0_467,plain,
( visValue(esk71_2(X1,X2))
| visSomeExp(esk67_2(X1,X2))
| X1 = vabs(esk60_2(X1,X2),esk61_2(X1,X2),esk62_2(X1,X2))
| X1 = vvar(esk59_2(X1,X2))
| ~ epred3_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_64]),
[final] ).
cnf(i_0_468,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_85]),
[final] ).
cnf(i_0_469,plain,
( esk69_2(X1,X2) = vreduce(esk71_2(X1,X2))
| esk67_2(X1,X2) = vreduce(esk63_2(X1,X2))
| X1 = vabs(esk60_2(X1,X2),esk61_2(X1,X2),esk62_2(X1,X2))
| X2 = vnoExp
| ~ epred3_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_64]),
[final] ).
cnf(i_0_470,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_85]),
[final] ).
cnf(i_0_471,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_111]),
[final] ).
cnf(i_0_472,plain,
( X1 = vsomeExp(vapp(vgetSomeExp(esk79_2(X2,X1)),esk80_2(X2,X1)))
| X1 = vnoExp
| epred3_2(X1,X2)
| ~ epred4_2(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_94]),
[final] ).
cnf(i_0_473,plain,
( visSomeExp(esk67_2(X1,X2))
| X1 = vabs(esk60_2(X1,X2),esk61_2(X1,X2),esk62_2(X1,X2))
| X2 = vnoExp
| ~ visSomeExp(esk69_2(X1,X2))
| ~ epred3_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_64]),
[final] ).
cnf(i_0_474,plain,
( esk69_2(X1,X2) = vreduce(esk71_2(X1,X2))
| visSomeExp(esk67_2(X1,X2))
| X1 = vabs(esk60_2(X1,X2),esk61_2(X1,X2),esk62_2(X1,X2))
| X2 = vnoExp
| ~ epred3_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_64]),
[final] ).
cnf(i_0_475,plain,
( visValue(esk71_2(X1,X2))
| esk67_2(X1,X2) = vreduce(esk63_2(X1,X2))
| X1 = vabs(esk60_2(X1,X2),esk61_2(X1,X2),esk62_2(X1,X2))
| X2 = vnoExp
| ~ epred3_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_64]),
[final] ).
cnf(i_0_476,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_112]),
[final] ).
cnf(i_0_477,plain,
( visValue(esk71_2(X1,X2))
| visSomeExp(esk67_2(X1,X2))
| X1 = vabs(esk60_2(X1,X2),esk61_2(X1,X2),esk62_2(X1,X2))
| X2 = vnoExp
| ~ epred3_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_64]),
[final] ).
cnf(i_0_478,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_85]),
[final] ).
cnf(i_0_479,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_85]),
[final] ).
cnf(i_0_480,plain,
( epred3_2(X2,X1)
| esk78_2(X1,X2) != vabs(X3,X4,X5)
| ~ visSomeExp(esk76_2(X1,X2))
| ~ epred4_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_94]),
[final] ).
cnf(i_0_481,plain,
( epred3_2(X2,X1)
| esk78_2(X1,X2) != vabs(X3,X4,X5)
| ~ visValue(esk77_2(X1,X2))
| ~ epred4_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_94]),
[final] ).
cnf(i_0_482,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_85]),
[final] ).
cnf(i_0_483,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_85]),
[final] ).
cnf(i_0_484,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_85]),
[final] ).
cnf(i_0_485,plain,
( esk76_2(X1,X2) = vreduce(esk77_2(X1,X2))
| epred3_2(X2,X1)
| esk78_2(X1,X2) != vabs(X3,X4,X5)
| ~ epred4_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_94]),
[final] ).
cnf(i_0_486,plain,
( X1 = X2
| vbind(X1,X3,X4) != vbind(X2,X5,X6) ),
inference(split_conjunct,[status(thm)],[i_0_113]),
[final] ).
cnf(i_0_487,plain,
( X1 = X2
| vbind(X3,X1,X4) != vbind(X5,X2,X6) ),
inference(split_conjunct,[status(thm)],[i_0_113]),
[final] ).
cnf(i_0_488,plain,
( X1 = X2
| vbind(X3,X4,X1) != vbind(X5,X6,X2) ),
inference(split_conjunct,[status(thm)],[i_0_113]),
[final] ).
cnf(i_0_489,plain,
( X1 = X2
| vabs(X1,X3,X4) != vabs(X2,X5,X6) ),
inference(split_conjunct,[status(thm)],[i_0_114]),
[final] ).
cnf(i_0_490,plain,
( X1 = X2
| vabs(X3,X1,X4) != vabs(X5,X2,X6) ),
inference(split_conjunct,[status(thm)],[i_0_114]),
[final] ).
cnf(i_0_491,plain,
( X1 = X2
| vabs(X3,X4,X1) != vabs(X5,X6,X2) ),
inference(split_conjunct,[status(thm)],[i_0_114]),
[final] ).
cnf(i_0_492,plain,
( X1 = vapp(esk78_2(X1,X2),esk80_2(X1,X2))
| epred3_2(X2,X1)
| ~ visSomeExp(esk76_2(X1,X2))
| ~ epred4_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_94]),
[final] ).
cnf(i_0_493,plain,
( X1 = vapp(esk78_2(X1,X2),esk80_2(X1,X2))
| epred3_2(X2,X1)
| ~ visValue(esk77_2(X1,X2))
| ~ epred4_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_94]),
[final] ).
cnf(i_0_494,negated_conjecture,
vtcheck(esk34_0,vabs(esk35_0,esk36_0,veabs),esk37_0),
inference(split_conjunct,[status(thm)],[i_0_98]),
[final] ).
cnf(i_0_495,plain,
( X1 = vapp(esk78_2(X1,X2),esk80_2(X1,X2))
| esk76_2(X1,X2) = vreduce(esk77_2(X1,X2))
| epred3_2(X2,X1)
| ~ epred4_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_94]),
[final] ).
cnf(i_0_496,plain,
( esk67_2(X1,X2) = vreduce(esk63_2(X1,X2))
| X2 = vnoExp
| X1 = vvar(esk59_2(X1,X2))
| ~ visSomeExp(esk69_2(X1,X2))
| ~ epred3_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_64]),
[final] ).
cnf(i_0_497,plain,
( X2 = vnoExp
| epred3_2(X2,X1)
| esk78_2(X1,X2) != vabs(X3,X4,X5)
| ~ epred4_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_94]),
[final] ).
cnf(i_0_498,plain,
( esk69_2(X1,X2) = vreduce(esk71_2(X1,X2))
| esk67_2(X1,X2) = vreduce(esk63_2(X1,X2))
| X2 = vnoExp
| X1 = vvar(esk59_2(X1,X2))
| ~ epred3_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_64]),
[final] ).
cnf(i_0_499,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_85]),
[final] ).
cnf(i_0_500,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_85]),
[final] ).
cnf(i_0_501,plain,
( visSomeExp(esk67_2(X1,X2))
| X2 = vnoExp
| X1 = vvar(esk59_2(X1,X2))
| ~ visSomeExp(esk69_2(X1,X2))
| ~ epred3_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_64]),
[final] ).
cnf(i_0_502,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_115]),
[final] ).
cnf(i_0_503,plain,
( epred4_2(X2,X1)
| esk22_2(X1,X2) != vabs(X3,X4,X5)
| vreduce(X1) != X2 ),
inference(split_conjunct,[status(thm)],[i_0_116]),
[final] ).
cnf(i_0_504,plain,
( X1 = X2
| visFreeVar(X4,X5)
| ~ visFreeVar(X2,X3)
| X4 != X2
| X5 != vabs(X1,X6,X3) ),
inference(split_conjunct,[status(thm)],[i_0_117]),
[final] ).
cnf(i_0_505,plain,
( esk69_2(X1,X2) = vreduce(esk71_2(X1,X2))
| visSomeExp(esk67_2(X1,X2))
| X2 = vnoExp
| X1 = vvar(esk59_2(X1,X2))
| ~ epred3_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_64]),
[final] ).
cnf(i_0_506,plain,
( visValue(esk71_2(X1,X2))
| esk67_2(X1,X2) = vreduce(esk63_2(X1,X2))
| X2 = vnoExp
| X1 = vvar(esk59_2(X1,X2))
| ~ epred3_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_64]),
[final] ).
cnf(i_0_507,plain,
( esk79_2(X1,X2) = vreduce(esk78_2(X1,X2))
| epred3_2(X2,X1)
| ~ visSomeExp(esk76_2(X1,X2))
| ~ epred4_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_94]),
[final] ).
cnf(i_0_508,plain,
( esk79_2(X1,X2) = vreduce(esk78_2(X1,X2))
| epred3_2(X2,X1)
| ~ visValue(esk77_2(X1,X2))
| ~ epred4_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_94]),
[final] ).
cnf(i_0_509,plain,
( visFreeVar(X1,X2)
| ~ visFreeVar(X3,X4)
| X3 != X1
| X4 != vabs(X5,X6,X2) ),
inference(split_conjunct,[status(thm)],[i_0_117]),
[final] ).
cnf(i_0_510,plain,
( esk79_2(X1,X2) = vreduce(esk78_2(X1,X2))
| esk76_2(X1,X2) = vreduce(esk77_2(X1,X2))
| epred3_2(X2,X1)
| ~ epred4_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_94]),
[final] ).
cnf(i_0_511,plain,
( X7 = vsomeType(X5)
| X1 != X2
| X3 != vbind(X4,X5,X6)
| X2 != X4
| X7 != vlookup(X1,X3) ),
inference(split_conjunct,[status(thm)],[i_0_118]),
[final] ).
cnf(i_0_512,plain,
( X1 != X2
| ~ visFreeVar(X3,X4)
| X3 != X2
| X4 != vabs(X1,X5,X6) ),
inference(split_conjunct,[status(thm)],[i_0_117]),
[final] ).
cnf(i_0_513,plain,
( visValue(esk71_2(X1,X2))
| visSomeExp(esk67_2(X1,X2))
| X2 = vnoExp
| X1 = vvar(esk59_2(X1,X2))
| ~ epred3_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_64]),
[final] ).
cnf(i_0_514,plain,
( X2 = vnoExp
| esk67_2(X1,X2) = vreduce(esk63_2(X1,X2))
| ~ epred3_2(X2,X1)
| ~ visSomeExp(esk69_2(X1,X2)) ),
inference(cn,[status(thm)],[i_0_119]),
[final] ).
cnf(i_0_515,plain,
( visSomeExp(esk79_2(X1,X2))
| epred3_2(X2,X1)
| ~ visSomeExp(esk76_2(X1,X2))
| ~ epred4_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_94]),
[final] ).
cnf(i_0_516,plain,
( visSomeExp(esk79_2(X1,X2))
| epred3_2(X2,X1)
| ~ visValue(esk77_2(X1,X2))
| ~ epred4_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_94]),
[final] ).
cnf(i_0_517,plain,
( X2 = vnoExp
| esk67_2(X1,X2) = vreduce(esk63_2(X1,X2))
| esk69_2(X1,X2) = vreduce(esk71_2(X1,X2))
| ~ epred3_2(X2,X1) ),
inference(cn,[status(thm)],[i_0_120]),
[final] ).
cnf(i_0_518,plain,
( visSomeExp(esk79_2(X1,X2))
| esk76_2(X1,X2) = vreduce(esk77_2(X1,X2))
| epred3_2(X2,X1)
| ~ epred4_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_94]),
[final] ).
cnf(i_0_519,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_121]),
[final] ).
cnf(i_0_520,plain,
( X7 = X4
| X1 != X2
| X3 != X4
| X5 != vvar(X6)
| X2 != X6
| X7 != vsubst(X1,X3,X5) ),
inference(split_conjunct,[status(thm)],[i_0_122]),
[final] ).
cnf(i_0_521,plain,
vabs(X1,X2,X3) != vapp(X4,X5),
inference(split_conjunct,[status(thm)],[i_0_123]),
[final] ).
cnf(i_0_522,plain,
( X1 = vapp(esk78_2(X1,X2),esk80_2(X1,X2))
| X2 = vnoExp
| epred3_2(X2,X1)
| ~ epred4_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_94]),
[final] ).
cnf(i_0_523,plain,
( X2 = vnoExp
| visSomeExp(esk67_2(X1,X2))
| ~ epred3_2(X2,X1)
| ~ visSomeExp(esk69_2(X1,X2)) ),
inference(cn,[status(thm)],[i_0_124]),
[final] ).
cnf(i_0_524,plain,
( X2 = vnoExp
| esk69_2(X1,X2) = vreduce(esk71_2(X1,X2))
| visSomeExp(esk67_2(X1,X2))
| ~ epred3_2(X2,X1) ),
inference(cn,[status(thm)],[i_0_125]),
[final] ).
cnf(i_0_525,plain,
( X2 = vnoExp
| esk67_2(X1,X2) = vreduce(esk63_2(X1,X2))
| visValue(esk71_2(X1,X2))
| ~ epred3_2(X2,X1) ),
inference(cn,[status(thm)],[i_0_126]),
[final] ).
cnf(i_0_526,plain,
( X5 = vnoExp
| X1 != vabs(X2,X3,X4)
| X5 != vreduce(X1) ),
inference(split_conjunct,[status(thm)],[i_0_127]),
[final] ).
cnf(i_0_527,plain,
vvar(X1) != vabs(X2,X3,X4),
inference(split_conjunct,[status(thm)],[i_0_128]),
[final] ).
cnf(i_0_528,plain,
( visValue(X1)
| X1 != vabs(X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[i_0_129]),
[final] ).
cnf(i_0_529,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_116]),
[final] ).
cnf(i_0_530,plain,
( vtcheck(X2,vvar(X1),X3)
| vlookup(X1,X2) != vsomeType(X3) ),
inference(split_conjunct,[status(thm)],[i_0_130]),
[final] ).
cnf(i_0_531,plain,
vempty != vbind(X1,X2,X3),
inference(split_conjunct,[status(thm)],[i_0_131]),
[final] ).
cnf(i_0_532,plain,
( X2 = vnoExp
| visValue(esk71_2(X1,X2))
| visSomeExp(esk67_2(X1,X2))
| ~ epred3_2(X2,X1) ),
inference(cn,[status(thm)],[i_0_132]),
[final] ).
cnf(i_0_533,plain,
( esk79_2(X1,X2) = vreduce(esk78_2(X1,X2))
| X2 = vnoExp
| epred3_2(X2,X1)
| ~ epred4_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_94]),
[final] ).
cnf(i_0_534,plain,
( visFreeVar(X3,X4)
| visFreeVar(X3,X5)
| ~ visFreeVar(X1,X2)
| X1 != X3
| X2 != vapp(X4,X5) ),
inference(split_conjunct,[status(thm)],[i_0_133]),
[final] ).
cnf(i_0_535,plain,
( epred4_2(X2,X1)
| ~ visSomeExp(esk23_2(X1,X2))
| vreduce(X1) != X2 ),
inference(split_conjunct,[status(thm)],[i_0_116]),
[final] ).
cnf(i_0_536,plain,
( visSomeExp(esk79_2(X1,X2))
| X2 = vnoExp
| epred3_2(X2,X1)
| ~ epred4_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_94]),
[final] ).
cnf(i_0_537,plain,
( esk23_2(X1,X2) = vreduce(esk22_2(X1,X2))
| epred4_2(X2,X1)
| vreduce(X1) != X2 ),
inference(split_conjunct,[status(thm)],[i_0_116]),
[final] ).
cnf(i_0_538,plain,
( visFreeVar(X3,X4)
| ~ visFreeVar(X1,X2)
| X3 != X1
| X4 != vapp(X2,X5) ),
inference(split_conjunct,[status(thm)],[i_0_133]),
[final] ).
cnf(i_0_539,plain,
( visFreeVar(X3,X4)
| ~ visFreeVar(X1,X2)
| X3 != X1
| X4 != vapp(X5,X2) ),
inference(split_conjunct,[status(thm)],[i_0_133]),
[final] ).
cnf(i_0_540,plain,
( X1 = X2
| varrow(X1,X3) != varrow(X2,X4) ),
inference(split_conjunct,[status(thm)],[i_0_134]),
[final] ).
cnf(i_0_541,plain,
( X1 = X2
| varrow(X3,X1) != varrow(X4,X2) ),
inference(split_conjunct,[status(thm)],[i_0_134]),
[final] ).
cnf(i_0_542,plain,
( X1 = X2
| vapp(X1,X3) != vapp(X2,X4) ),
inference(split_conjunct,[status(thm)],[i_0_135]),
[final] ).
cnf(i_0_543,plain,
( X1 = X2
| vapp(X3,X1) != vapp(X4,X2) ),
inference(split_conjunct,[status(thm)],[i_0_135]),
[final] ).
cnf(i_0_544,plain,
( X3 = X4
| ~ visFreeVar(X1,X2)
| X1 != X4
| X2 != vvar(X3) ),
inference(split_conjunct,[status(thm)],[i_0_136]),
[final] ).
cnf(i_0_545,plain,
( X4 = vnoType
| X1 != X2
| X3 != vempty
| X4 != vlookup(X1,X3) ),
inference(split_conjunct,[status(thm)],[i_0_137]),
[final] ).
cnf(i_0_546,plain,
( X1 != vapp(X2,X3)
| ~ visValue(X1) ),
inference(split_conjunct,[status(thm)],[i_0_138]),
[final] ).
cnf(i_0_547,plain,
( vgensym(X1) != X2
| ~ visFreeVar(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_139]),
[final] ).
cnf(i_0_548,plain,
( visFreeVar(X3,X4)
| X1 != X2
| X3 != X2
| X4 != vvar(X1) ),
inference(split_conjunct,[status(thm)],[i_0_136]),
[final] ).
cnf(i_0_549,plain,
vvar(X1) != vapp(X2,X3),
inference(split_conjunct,[status(thm)],[i_0_140]),
[final] ).
cnf(i_0_550,plain,
( X1 = vnoExp
| epred4_2(X1,X2)
| vreduce(X2) != X1 ),
inference(split_conjunct,[status(thm)],[i_0_116]),
[final] ).
cnf(i_0_551,plain,
( X3 = X2
| X1 != vsomeExp(X2)
| X3 != vgetSomeExp(X1) ),
inference(split_conjunct,[status(thm)],[i_0_141]),
[final] ).
cnf(i_0_552,plain,
( X3 = X2
| X1 != vsomeType(X2)
| X3 != vgetSomeType(X1) ),
inference(split_conjunct,[status(thm)],[i_0_142]),
[final] ).
cnf(i_0_553,plain,
( X3 = vnoExp
| X1 != vvar(X2)
| X3 != vreduce(X1) ),
inference(split_conjunct,[status(thm)],[i_0_143]),
[final] ).
cnf(i_0_554,plain,
( X1 != vvar(X2)
| ~ visValue(X1) ),
inference(split_conjunct,[status(thm)],[i_0_144]),
[final] ).
cnf(i_0_555,plain,
( X1 = X2
| vsomeExp(X1) != vsomeExp(X2) ),
inference(split_conjunct,[status(thm)],[i_0_145]),
[final] ).
cnf(i_0_556,plain,
( X1 = X2
| vsomeType(X1) != vsomeType(X2) ),
inference(split_conjunct,[status(thm)],[i_0_146]),
[final] ).
cnf(i_0_557,plain,
( X1 = X2
| vvar(X1) != vvar(X2) ),
inference(split_conjunct,[status(thm)],[i_0_147]),
[final] ).
cnf(i_0_558,plain,
( visSomeExp(X1)
| X1 != vsomeExp(X2) ),
inference(split_conjunct,[status(thm)],[i_0_148]),
[final] ).
cnf(i_0_559,plain,
( visSomeType(X1)
| X1 != vsomeType(X2) ),
inference(split_conjunct,[status(thm)],[i_0_149]),
[final] ).
cnf(i_0_560,negated_conjecture,
vlookup(esk32_0,esk34_0) = vnoType,
inference(split_conjunct,[status(thm)],[i_0_98]),
[final] ).
cnf(i_0_561,plain,
( X1 != vnoExp
| ~ visSomeExp(X1) ),
inference(split_conjunct,[status(thm)],[i_0_150]),
[final] ).
cnf(i_0_562,plain,
( X1 != vnoType
| ~ visSomeType(X1) ),
inference(split_conjunct,[status(thm)],[i_0_151]),
[final] ).
cnf(i_0_563,plain,
vnoExp != vsomeExp(X1),
inference(split_conjunct,[status(thm)],[i_0_152]),
[final] ).
cnf(i_0_564,plain,
vnoType != vsomeType(X1),
inference(split_conjunct,[status(thm)],[i_0_153]),
[final] ).
cnf(i_0_565,axiom,
X1 = X1 ).
cnf(i_0_566,axiom,
( X1 = X2
| X2 != X1 ) ).
cnf(i_0_567,axiom,
( X1 = X2
| X1 != X3
| X3 != X2 ) ).
cnf(i_0_568,axiom,
( X1 != X2
| vsubst(X1,X3,X4) = vsubst(X2,X3,X4) ) ).
cnf(i_0_569,axiom,
( X1 != X2
| vsubst(X3,X1,X4) = vsubst(X3,X2,X4) ) ).
cnf(i_0_570,axiom,
( X1 != X2
| vsubst(X3,X4,X1) = vsubst(X3,X4,X2) ) ).
cnf(i_0_571,axiom,
( X1 != X2
| esk50_4(X1,X3,X4,X5) = esk50_4(X2,X3,X4,X5) ) ).
cnf(i_0_572,axiom,
( X1 != X2
| esk50_4(X3,X1,X4,X5) = esk50_4(X3,X2,X4,X5) ) ).
cnf(i_0_573,axiom,
( X1 != X2
| esk50_4(X3,X4,X1,X5) = esk50_4(X3,X4,X2,X5) ) ).
cnf(i_0_574,axiom,
( X1 != X2
| esk50_4(X3,X4,X5,X1) = esk50_4(X3,X4,X5,X2) ) ).
cnf(i_0_575,axiom,
( X1 != X2
| vapp(X1,X3) = vapp(X2,X3) ) ).
cnf(i_0_576,axiom,
( X1 != X2
| vapp(X3,X1) = vapp(X3,X2) ) ).
cnf(i_0_577,axiom,
( X1 != X2
| esk45_4(X1,X3,X4,X5) = esk45_4(X2,X3,X4,X5) ) ).
cnf(i_0_578,axiom,
( X1 != X2
| esk45_4(X3,X1,X4,X5) = esk45_4(X3,X2,X4,X5) ) ).
cnf(i_0_579,axiom,
( X1 != X2
| esk45_4(X3,X4,X1,X5) = esk45_4(X3,X4,X2,X5) ) ).
cnf(i_0_580,axiom,
( X1 != X2
| esk45_4(X3,X4,X5,X1) = esk45_4(X3,X4,X5,X2) ) ).
cnf(i_0_581,axiom,
( X1 != X2
| esk46_4(X1,X3,X4,X5) = esk46_4(X2,X3,X4,X5) ) ).
cnf(i_0_582,axiom,
( X1 != X2
| esk46_4(X3,X1,X4,X5) = esk46_4(X3,X2,X4,X5) ) ).
cnf(i_0_583,axiom,
( X1 != X2
| esk46_4(X3,X4,X1,X5) = esk46_4(X3,X4,X2,X5) ) ).
cnf(i_0_584,axiom,
( X1 != X2
| esk46_4(X3,X4,X5,X1) = esk46_4(X3,X4,X5,X2) ) ).
cnf(i_0_585,axiom,
( X1 != X2
| esk49_4(X1,X3,X4,X5) = esk49_4(X2,X3,X4,X5) ) ).
cnf(i_0_586,axiom,
( X1 != X2
| esk49_4(X3,X1,X4,X5) = esk49_4(X3,X2,X4,X5) ) ).
cnf(i_0_587,axiom,
( X1 != X2
| esk49_4(X3,X4,X1,X5) = esk49_4(X3,X4,X2,X5) ) ).
cnf(i_0_588,axiom,
( X1 != X2
| esk49_4(X3,X4,X5,X1) = esk49_4(X3,X4,X5,X2) ) ).
cnf(i_0_589,axiom,
( X1 != X2
| esk48_4(X1,X3,X4,X5) = esk48_4(X2,X3,X4,X5) ) ).
cnf(i_0_590,axiom,
( X1 != X2
| esk48_4(X3,X1,X4,X5) = esk48_4(X3,X2,X4,X5) ) ).
cnf(i_0_591,axiom,
( X1 != X2
| esk48_4(X3,X4,X1,X5) = esk48_4(X3,X4,X2,X5) ) ).
cnf(i_0_592,axiom,
( X1 != X2
| esk48_4(X3,X4,X5,X1) = esk48_4(X3,X4,X5,X2) ) ).
cnf(i_0_593,axiom,
( X1 != X2
| esk53_4(X1,X3,X4,X5) = esk53_4(X2,X3,X4,X5) ) ).
cnf(i_0_594,axiom,
( X1 != X2
| esk53_4(X3,X1,X4,X5) = esk53_4(X3,X2,X4,X5) ) ).
cnf(i_0_595,axiom,
( X1 != X2
| esk53_4(X3,X4,X1,X5) = esk53_4(X3,X4,X2,X5) ) ).
cnf(i_0_596,axiom,
( X1 != X2
| esk53_4(X3,X4,X5,X1) = esk53_4(X3,X4,X5,X2) ) ).
cnf(i_0_597,axiom,
( X1 != X2
| vgensym(X1) = vgensym(X2) ) ).
cnf(i_0_598,axiom,
( X1 != X2
| vsomeExp(X1) = vsomeExp(X2) ) ).
cnf(i_0_599,axiom,
( X1 != X2
| vgetSomeExp(X1) = vgetSomeExp(X2) ) ).
cnf(i_0_600,axiom,
( X1 != X2
| vreduce(X1) = vreduce(X2) ) ).
cnf(i_0_601,axiom,
( X1 != X2
| esk10_4(X1,X3,X4,X5) = esk10_4(X2,X3,X4,X5) ) ).
cnf(i_0_602,axiom,
( X1 != X2
| esk10_4(X3,X1,X4,X5) = esk10_4(X3,X2,X4,X5) ) ).
cnf(i_0_603,axiom,
( X1 != X2
| esk10_4(X3,X4,X1,X5) = esk10_4(X3,X4,X2,X5) ) ).
cnf(i_0_604,axiom,
( X1 != X2
| esk10_4(X3,X4,X5,X1) = esk10_4(X3,X4,X5,X2) ) ).
cnf(i_0_605,axiom,
( X1 != X2
| esk12_4(X1,X3,X4,X5) = esk12_4(X2,X3,X4,X5) ) ).
cnf(i_0_606,axiom,
( X1 != X2
| esk12_4(X3,X1,X4,X5) = esk12_4(X3,X2,X4,X5) ) ).
cnf(i_0_607,axiom,
( X1 != X2
| esk12_4(X3,X4,X1,X5) = esk12_4(X3,X4,X2,X5) ) ).
cnf(i_0_608,axiom,
( X1 != X2
| esk12_4(X3,X4,X5,X1) = esk12_4(X3,X4,X5,X2) ) ).
cnf(i_0_609,axiom,
( X1 != X2
| esk54_4(X1,X3,X4,X5) = esk54_4(X2,X3,X4,X5) ) ).
cnf(i_0_610,axiom,
( X1 != X2
| esk54_4(X3,X1,X4,X5) = esk54_4(X3,X2,X4,X5) ) ).
cnf(i_0_611,axiom,
( X1 != X2
| esk54_4(X3,X4,X1,X5) = esk54_4(X3,X4,X2,X5) ) ).
cnf(i_0_612,axiom,
( X1 != X2
| esk54_4(X3,X4,X5,X1) = esk54_4(X3,X4,X5,X2) ) ).
cnf(i_0_613,axiom,
( X1 != X2
| esk13_4(X1,X3,X4,X5) = esk13_4(X2,X3,X4,X5) ) ).
cnf(i_0_614,axiom,
( X1 != X2
| esk13_4(X3,X1,X4,X5) = esk13_4(X3,X2,X4,X5) ) ).
cnf(i_0_615,axiom,
( X1 != X2
| esk13_4(X3,X4,X1,X5) = esk13_4(X3,X4,X2,X5) ) ).
cnf(i_0_616,axiom,
( X1 != X2
| esk13_4(X3,X4,X5,X1) = esk13_4(X3,X4,X5,X2) ) ).
cnf(i_0_617,axiom,
( X1 != X2
| esk39_4(X1,X3,X4,X5) = esk39_4(X2,X3,X4,X5) ) ).
cnf(i_0_618,axiom,
( X1 != X2
| esk39_4(X3,X1,X4,X5) = esk39_4(X3,X2,X4,X5) ) ).
cnf(i_0_619,axiom,
( X1 != X2
| esk39_4(X3,X4,X1,X5) = esk39_4(X3,X4,X2,X5) ) ).
cnf(i_0_620,axiom,
( X1 != X2
| esk39_4(X3,X4,X5,X1) = esk39_4(X3,X4,X5,X2) ) ).
cnf(i_0_621,axiom,
( X1 != X2
| esk42_4(X1,X3,X4,X5) = esk42_4(X2,X3,X4,X5) ) ).
cnf(i_0_622,axiom,
( X1 != X2
| esk42_4(X3,X1,X4,X5) = esk42_4(X3,X2,X4,X5) ) ).
cnf(i_0_623,axiom,
( X1 != X2
| esk42_4(X3,X4,X1,X5) = esk42_4(X3,X4,X2,X5) ) ).
cnf(i_0_624,axiom,
( X1 != X2
| esk42_4(X3,X4,X5,X1) = esk42_4(X3,X4,X5,X2) ) ).
cnf(i_0_625,axiom,
( X1 != X2
| esk43_4(X1,X3,X4,X5) = esk43_4(X2,X3,X4,X5) ) ).
cnf(i_0_626,axiom,
( X1 != X2
| esk43_4(X3,X1,X4,X5) = esk43_4(X3,X2,X4,X5) ) ).
cnf(i_0_627,axiom,
( X1 != X2
| esk43_4(X3,X4,X1,X5) = esk43_4(X3,X4,X2,X5) ) ).
cnf(i_0_628,axiom,
( X1 != X2
| esk43_4(X3,X4,X5,X1) = esk43_4(X3,X4,X5,X2) ) ).
cnf(i_0_629,axiom,
( X1 != X2
| esk38_4(X1,X3,X4,X5) = esk38_4(X2,X3,X4,X5) ) ).
cnf(i_0_630,axiom,
( X1 != X2
| esk38_4(X3,X1,X4,X5) = esk38_4(X3,X2,X4,X5) ) ).
cnf(i_0_631,axiom,
( X1 != X2
| esk38_4(X3,X4,X1,X5) = esk38_4(X3,X4,X2,X5) ) ).
cnf(i_0_632,axiom,
( X1 != X2
| esk38_4(X3,X4,X5,X1) = esk38_4(X3,X4,X5,X2) ) ).
cnf(i_0_633,axiom,
( X1 != X2
| esk40_4(X1,X3,X4,X5) = esk40_4(X2,X3,X4,X5) ) ).
cnf(i_0_634,axiom,
( X1 != X2
| esk40_4(X3,X1,X4,X5) = esk40_4(X3,X2,X4,X5) ) ).
cnf(i_0_635,axiom,
( X1 != X2
| esk40_4(X3,X4,X1,X5) = esk40_4(X3,X4,X2,X5) ) ).
cnf(i_0_636,axiom,
( X1 != X2
| esk40_4(X3,X4,X5,X1) = esk40_4(X3,X4,X5,X2) ) ).
cnf(i_0_637,axiom,
( X1 != X2
| vabs(X1,X3,X4) = vabs(X2,X3,X4) ) ).
cnf(i_0_638,axiom,
( X1 != X2
| vabs(X3,X1,X4) = vabs(X3,X2,X4) ) ).
cnf(i_0_639,axiom,
( X1 != X2
| vabs(X3,X4,X1) = vabs(X3,X4,X2) ) ).
cnf(i_0_640,axiom,
( X1 != X2
| varrow(X1,X3) = varrow(X2,X3) ) ).
cnf(i_0_641,axiom,
( X1 != X2
| varrow(X3,X1) = varrow(X3,X2) ) ).
cnf(i_0_642,axiom,
( X1 != X2
| vbind(X1,X3,X4) = vbind(X2,X3,X4) ) ).
cnf(i_0_643,axiom,
( X1 != X2
| vbind(X3,X1,X4) = vbind(X3,X2,X4) ) ).
cnf(i_0_644,axiom,
( X1 != X2
| vbind(X3,X4,X1) = vbind(X3,X4,X2) ) ).
cnf(i_0_645,axiom,
( X1 != X2
| vlookup(X1,X3) = vlookup(X2,X3) ) ).
cnf(i_0_646,axiom,
( X1 != X2
| vlookup(X3,X1) = vlookup(X3,X2) ) ).
cnf(i_0_647,axiom,
( X1 != X2
| esk57_4(X1,X3,X4,X5) = esk57_4(X2,X3,X4,X5) ) ).
cnf(i_0_648,axiom,
( X1 != X2
| esk57_4(X3,X1,X4,X5) = esk57_4(X3,X2,X4,X5) ) ).
cnf(i_0_649,axiom,
( X1 != X2
| esk57_4(X3,X4,X1,X5) = esk57_4(X3,X4,X2,X5) ) ).
cnf(i_0_650,axiom,
( X1 != X2
| esk57_4(X3,X4,X5,X1) = esk57_4(X3,X4,X5,X2) ) ).
cnf(i_0_651,axiom,
( X1 != X2
| vsomeType(X1) = vsomeType(X2) ) ).
cnf(i_0_652,axiom,
( X1 != X2
| esk67_2(X1,X3) = esk67_2(X2,X3) ) ).
cnf(i_0_653,axiom,
( X1 != X2
| esk67_2(X3,X1) = esk67_2(X3,X2) ) ).
cnf(i_0_654,axiom,
( X1 != X2
| esk41_4(X1,X3,X4,X5) = esk41_4(X2,X3,X4,X5) ) ).
cnf(i_0_655,axiom,
( X1 != X2
| esk41_4(X3,X1,X4,X5) = esk41_4(X3,X2,X4,X5) ) ).
cnf(i_0_656,axiom,
( X1 != X2
| esk41_4(X3,X4,X1,X5) = esk41_4(X3,X4,X2,X5) ) ).
cnf(i_0_657,axiom,
( X1 != X2
| esk41_4(X3,X4,X5,X1) = esk41_4(X3,X4,X5,X2) ) ).
cnf(i_0_658,axiom,
( X1 != X2
| esk69_2(X1,X3) = esk69_2(X2,X3) ) ).
cnf(i_0_659,axiom,
( X1 != X2
| esk69_2(X3,X1) = esk69_2(X3,X2) ) ).
cnf(i_0_660,axiom,
( X1 != X2
| esk7_3(X1,X3,X4) = esk7_3(X2,X3,X4) ) ).
cnf(i_0_661,axiom,
( X1 != X2
| esk7_3(X3,X1,X4) = esk7_3(X3,X2,X4) ) ).
cnf(i_0_662,axiom,
( X1 != X2
| esk7_3(X3,X4,X1) = esk7_3(X3,X4,X2) ) ).
cnf(i_0_663,axiom,
( X1 != X2
| esk4_3(X1,X3,X4) = esk4_3(X2,X3,X4) ) ).
cnf(i_0_664,axiom,
( X1 != X2
| esk4_3(X3,X1,X4) = esk4_3(X3,X2,X4) ) ).
cnf(i_0_665,axiom,
( X1 != X2
| esk4_3(X3,X4,X1) = esk4_3(X3,X4,X2) ) ).
cnf(i_0_666,axiom,
( X1 != X2
| esk56_4(X1,X3,X4,X5) = esk56_4(X2,X3,X4,X5) ) ).
cnf(i_0_667,axiom,
( X1 != X2
| esk56_4(X3,X1,X4,X5) = esk56_4(X3,X2,X4,X5) ) ).
cnf(i_0_668,axiom,
( X1 != X2
| esk56_4(X3,X4,X1,X5) = esk56_4(X3,X4,X2,X5) ) ).
cnf(i_0_669,axiom,
( X1 != X2
| esk56_4(X3,X4,X5,X1) = esk56_4(X3,X4,X5,X2) ) ).
cnf(i_0_670,axiom,
( X1 != X2
| esk1_3(X1,X3,X4) = esk1_3(X2,X3,X4) ) ).
cnf(i_0_671,axiom,
( X1 != X2
| esk1_3(X3,X1,X4) = esk1_3(X3,X2,X4) ) ).
cnf(i_0_672,axiom,
( X1 != X2
| esk1_3(X3,X4,X1) = esk1_3(X3,X4,X2) ) ).
cnf(i_0_673,axiom,
( X1 != X2
| esk8_3(X1,X3,X4) = esk8_3(X2,X3,X4) ) ).
cnf(i_0_674,axiom,
( X1 != X2
| esk8_3(X3,X1,X4) = esk8_3(X3,X2,X4) ) ).
cnf(i_0_675,axiom,
( X1 != X2
| esk8_3(X3,X4,X1) = esk8_3(X3,X4,X2) ) ).
cnf(i_0_676,axiom,
( X1 != X2
| esk3_3(X1,X3,X4) = esk3_3(X2,X3,X4) ) ).
cnf(i_0_677,axiom,
( X1 != X2
| esk3_3(X3,X1,X4) = esk3_3(X3,X2,X4) ) ).
cnf(i_0_678,axiom,
( X1 != X2
| esk3_3(X3,X4,X1) = esk3_3(X3,X4,X2) ) ).
cnf(i_0_679,axiom,
( X1 != X2
| esk79_2(X1,X3) = esk79_2(X2,X3) ) ).
cnf(i_0_680,axiom,
( X1 != X2
| esk79_2(X3,X1) = esk79_2(X3,X2) ) ).
cnf(i_0_681,axiom,
( X1 != X2
| vvar(X1) = vvar(X2) ) ).
cnf(i_0_682,axiom,
( X1 != X2
| esk78_2(X1,X3) = esk78_2(X2,X3) ) ).
cnf(i_0_683,axiom,
( X1 != X2
| esk78_2(X3,X1) = esk78_2(X3,X2) ) ).
cnf(i_0_684,axiom,
( X1 != X2
| esk76_2(X1,X3) = esk76_2(X2,X3) ) ).
cnf(i_0_685,axiom,
( X1 != X2
| esk76_2(X3,X1) = esk76_2(X3,X2) ) ).
cnf(i_0_686,axiom,
( X1 != X2
| esk22_2(X1,X3) = esk22_2(X2,X3) ) ).
cnf(i_0_687,axiom,
( X1 != X2
| esk22_2(X3,X1) = esk22_2(X3,X2) ) ).
cnf(i_0_688,axiom,
( X1 != X2
| esk23_2(X1,X3) = esk23_2(X2,X3) ) ).
cnf(i_0_689,axiom,
( X1 != X2
| esk23_2(X3,X1) = esk23_2(X3,X2) ) ).
cnf(i_0_690,axiom,
( X1 != X2
| vgetSomeType(X1) = vgetSomeType(X2) ) ).
cnf(i_0_691,axiom,
( X1 != X2
| ~ epred1_4(X1,X3,X4,X5)
| epred1_4(X2,X3,X4,X5) ) ).
cnf(i_0_692,axiom,
( X1 != X2
| ~ epred1_4(X3,X1,X4,X5)
| epred1_4(X3,X2,X4,X5) ) ).
cnf(i_0_693,axiom,
( X1 != X2
| ~ epred1_4(X3,X4,X1,X5)
| epred1_4(X3,X4,X2,X5) ) ).
cnf(i_0_694,axiom,
( X1 != X2
| ~ epred1_4(X3,X4,X5,X1)
| epred1_4(X3,X4,X5,X2) ) ).
cnf(i_0_695,axiom,
( X1 != X2
| ~ epred2_4(X1,X3,X4,X5)
| epred2_4(X2,X3,X4,X5) ) ).
cnf(i_0_696,axiom,
( X1 != X2
| ~ epred2_4(X3,X1,X4,X5)
| epred2_4(X3,X2,X4,X5) ) ).
cnf(i_0_697,axiom,
( X1 != X2
| ~ epred2_4(X3,X4,X1,X5)
| epred2_4(X3,X4,X2,X5) ) ).
cnf(i_0_698,axiom,
( X1 != X2
| ~ epred2_4(X3,X4,X5,X1)
| epred2_4(X3,X4,X5,X2) ) ).
cnf(i_0_699,axiom,
( X1 != X2
| ~ visFreeVar(X1,X3)
| visFreeVar(X2,X3) ) ).
cnf(i_0_700,axiom,
( X1 != X2
| ~ visFreeVar(X3,X1)
| visFreeVar(X3,X2) ) ).
cnf(i_0_701,axiom,
( X1 != X2
| ~ visSomeExp(X1)
| visSomeExp(X2) ) ).
cnf(i_0_702,axiom,
( X1 != X2
| ~ vtcheck(X1,X3,X4)
| vtcheck(X2,X3,X4) ) ).
cnf(i_0_703,axiom,
( X1 != X2
| ~ vtcheck(X3,X1,X4)
| vtcheck(X3,X2,X4) ) ).
cnf(i_0_704,axiom,
( X1 != X2
| ~ vtcheck(X3,X4,X1)
| vtcheck(X3,X4,X2) ) ).
cnf(i_0_705,axiom,
( X1 != X2
| ~ epred3_2(X1,X3)
| epred3_2(X2,X3) ) ).
cnf(i_0_706,axiom,
( X1 != X2
| ~ epred3_2(X3,X1)
| epred3_2(X3,X2) ) ).
cnf(i_0_707,axiom,
( X1 != X2
| ~ visValue(X1)
| visValue(X2) ) ).
cnf(i_0_708,axiom,
( X1 != X2
| ~ epred4_2(X1,X3)
| epred4_2(X2,X3) ) ).
cnf(i_0_709,axiom,
( X1 != X2
| ~ epred4_2(X3,X1)
| epred4_2(X3,X2) ) ).
cnf(i_0_710,axiom,
( X1 != X2
| ~ visSomeType(X1)
| visSomeType(X2) ) ).
cnf(i_0_565_001,axiom,
X1 = X1 ).
cnf(i_0_566_002,axiom,
( X1 = X2
| X2 != X1 ) ).
cnf(i_0_567_003,axiom,
( X1 = X2
| X1 != X3
| X3 != X2 ) ).
cnf(i_0_568_004,axiom,
( X1 != X2
| vsubst(X1,X3,X4) = vsubst(X2,X3,X4) ) ).
cnf(i_0_569_005,axiom,
( X1 != X2
| vsubst(X3,X1,X4) = vsubst(X3,X2,X4) ) ).
cnf(i_0_570_006,axiom,
( X1 != X2
| vsubst(X3,X4,X1) = vsubst(X3,X4,X2) ) ).
cnf(i_0_571_007,axiom,
( X1 != X2
| esk50_4(X1,X3,X4,X5) = esk50_4(X2,X3,X4,X5) ) ).
cnf(i_0_572_008,axiom,
( X1 != X2
| esk50_4(X3,X1,X4,X5) = esk50_4(X3,X2,X4,X5) ) ).
cnf(i_0_573_009,axiom,
( X1 != X2
| esk50_4(X3,X4,X1,X5) = esk50_4(X3,X4,X2,X5) ) ).
cnf(i_0_574_010,axiom,
( X1 != X2
| esk50_4(X3,X4,X5,X1) = esk50_4(X3,X4,X5,X2) ) ).
cnf(i_0_575_011,axiom,
( X1 != X2
| vapp(X1,X3) = vapp(X2,X3) ) ).
cnf(i_0_576_012,axiom,
( X1 != X2
| vapp(X3,X1) = vapp(X3,X2) ) ).
cnf(i_0_577_013,axiom,
( X1 != X2
| esk45_4(X1,X3,X4,X5) = esk45_4(X2,X3,X4,X5) ) ).
cnf(i_0_578_014,axiom,
( X1 != X2
| esk45_4(X3,X1,X4,X5) = esk45_4(X3,X2,X4,X5) ) ).
cnf(i_0_579_015,axiom,
( X1 != X2
| esk45_4(X3,X4,X1,X5) = esk45_4(X3,X4,X2,X5) ) ).
cnf(i_0_580_016,axiom,
( X1 != X2
| esk45_4(X3,X4,X5,X1) = esk45_4(X3,X4,X5,X2) ) ).
cnf(i_0_581_017,axiom,
( X1 != X2
| esk46_4(X1,X3,X4,X5) = esk46_4(X2,X3,X4,X5) ) ).
cnf(i_0_582_018,axiom,
( X1 != X2
| esk46_4(X3,X1,X4,X5) = esk46_4(X3,X2,X4,X5) ) ).
cnf(i_0_583_019,axiom,
( X1 != X2
| esk46_4(X3,X4,X1,X5) = esk46_4(X3,X4,X2,X5) ) ).
cnf(i_0_584_020,axiom,
( X1 != X2
| esk46_4(X3,X4,X5,X1) = esk46_4(X3,X4,X5,X2) ) ).
cnf(i_0_585_021,axiom,
( X1 != X2
| esk49_4(X1,X3,X4,X5) = esk49_4(X2,X3,X4,X5) ) ).
cnf(i_0_586_022,axiom,
( X1 != X2
| esk49_4(X3,X1,X4,X5) = esk49_4(X3,X2,X4,X5) ) ).
cnf(i_0_587_023,axiom,
( X1 != X2
| esk49_4(X3,X4,X1,X5) = esk49_4(X3,X4,X2,X5) ) ).
cnf(i_0_588_024,axiom,
( X1 != X2
| esk49_4(X3,X4,X5,X1) = esk49_4(X3,X4,X5,X2) ) ).
cnf(i_0_589_025,axiom,
( X1 != X2
| esk48_4(X1,X3,X4,X5) = esk48_4(X2,X3,X4,X5) ) ).
cnf(i_0_590_026,axiom,
( X1 != X2
| esk48_4(X3,X1,X4,X5) = esk48_4(X3,X2,X4,X5) ) ).
cnf(i_0_591_027,axiom,
( X1 != X2
| esk48_4(X3,X4,X1,X5) = esk48_4(X3,X4,X2,X5) ) ).
cnf(i_0_592_028,axiom,
( X1 != X2
| esk48_4(X3,X4,X5,X1) = esk48_4(X3,X4,X5,X2) ) ).
cnf(i_0_593_029,axiom,
( X1 != X2
| esk53_4(X1,X3,X4,X5) = esk53_4(X2,X3,X4,X5) ) ).
cnf(i_0_594_030,axiom,
( X1 != X2
| esk53_4(X3,X1,X4,X5) = esk53_4(X3,X2,X4,X5) ) ).
cnf(i_0_595_031,axiom,
( X1 != X2
| esk53_4(X3,X4,X1,X5) = esk53_4(X3,X4,X2,X5) ) ).
cnf(i_0_596_032,axiom,
( X1 != X2
| esk53_4(X3,X4,X5,X1) = esk53_4(X3,X4,X5,X2) ) ).
cnf(i_0_597_033,axiom,
( X1 != X2
| vgensym(X1) = vgensym(X2) ) ).
cnf(i_0_598_034,axiom,
( X1 != X2
| vsomeExp(X1) = vsomeExp(X2) ) ).
cnf(i_0_599_035,axiom,
( X1 != X2
| vgetSomeExp(X1) = vgetSomeExp(X2) ) ).
cnf(i_0_600_036,axiom,
( X1 != X2
| vreduce(X1) = vreduce(X2) ) ).
cnf(i_0_601_037,axiom,
( X1 != X2
| esk10_4(X1,X3,X4,X5) = esk10_4(X2,X3,X4,X5) ) ).
cnf(i_0_602_038,axiom,
( X1 != X2
| esk10_4(X3,X1,X4,X5) = esk10_4(X3,X2,X4,X5) ) ).
cnf(i_0_603_039,axiom,
( X1 != X2
| esk10_4(X3,X4,X1,X5) = esk10_4(X3,X4,X2,X5) ) ).
cnf(i_0_604_040,axiom,
( X1 != X2
| esk10_4(X3,X4,X5,X1) = esk10_4(X3,X4,X5,X2) ) ).
cnf(i_0_605_041,axiom,
( X1 != X2
| esk12_4(X1,X3,X4,X5) = esk12_4(X2,X3,X4,X5) ) ).
cnf(i_0_606_042,axiom,
( X1 != X2
| esk12_4(X3,X1,X4,X5) = esk12_4(X3,X2,X4,X5) ) ).
cnf(i_0_607_043,axiom,
( X1 != X2
| esk12_4(X3,X4,X1,X5) = esk12_4(X3,X4,X2,X5) ) ).
cnf(i_0_608_044,axiom,
( X1 != X2
| esk12_4(X3,X4,X5,X1) = esk12_4(X3,X4,X5,X2) ) ).
cnf(i_0_609_045,axiom,
( X1 != X2
| esk54_4(X1,X3,X4,X5) = esk54_4(X2,X3,X4,X5) ) ).
cnf(i_0_610_046,axiom,
( X1 != X2
| esk54_4(X3,X1,X4,X5) = esk54_4(X3,X2,X4,X5) ) ).
cnf(i_0_611_047,axiom,
( X1 != X2
| esk54_4(X3,X4,X1,X5) = esk54_4(X3,X4,X2,X5) ) ).
cnf(i_0_612_048,axiom,
( X1 != X2
| esk54_4(X3,X4,X5,X1) = esk54_4(X3,X4,X5,X2) ) ).
cnf(i_0_613_049,axiom,
( X1 != X2
| esk13_4(X1,X3,X4,X5) = esk13_4(X2,X3,X4,X5) ) ).
cnf(i_0_614_050,axiom,
( X1 != X2
| esk13_4(X3,X1,X4,X5) = esk13_4(X3,X2,X4,X5) ) ).
cnf(i_0_615_051,axiom,
( X1 != X2
| esk13_4(X3,X4,X1,X5) = esk13_4(X3,X4,X2,X5) ) ).
cnf(i_0_616_052,axiom,
( X1 != X2
| esk13_4(X3,X4,X5,X1) = esk13_4(X3,X4,X5,X2) ) ).
cnf(i_0_617_053,axiom,
( X1 != X2
| esk39_4(X1,X3,X4,X5) = esk39_4(X2,X3,X4,X5) ) ).
cnf(i_0_618_054,axiom,
( X1 != X2
| esk39_4(X3,X1,X4,X5) = esk39_4(X3,X2,X4,X5) ) ).
cnf(i_0_619_055,axiom,
( X1 != X2
| esk39_4(X3,X4,X1,X5) = esk39_4(X3,X4,X2,X5) ) ).
cnf(i_0_620_056,axiom,
( X1 != X2
| esk39_4(X3,X4,X5,X1) = esk39_4(X3,X4,X5,X2) ) ).
cnf(i_0_621_057,axiom,
( X1 != X2
| esk42_4(X1,X3,X4,X5) = esk42_4(X2,X3,X4,X5) ) ).
cnf(i_0_622_058,axiom,
( X1 != X2
| esk42_4(X3,X1,X4,X5) = esk42_4(X3,X2,X4,X5) ) ).
cnf(i_0_623_059,axiom,
( X1 != X2
| esk42_4(X3,X4,X1,X5) = esk42_4(X3,X4,X2,X5) ) ).
cnf(i_0_624_060,axiom,
( X1 != X2
| esk42_4(X3,X4,X5,X1) = esk42_4(X3,X4,X5,X2) ) ).
cnf(i_0_625_061,axiom,
( X1 != X2
| esk43_4(X1,X3,X4,X5) = esk43_4(X2,X3,X4,X5) ) ).
cnf(i_0_626_062,axiom,
( X1 != X2
| esk43_4(X3,X1,X4,X5) = esk43_4(X3,X2,X4,X5) ) ).
cnf(i_0_627_063,axiom,
( X1 != X2
| esk43_4(X3,X4,X1,X5) = esk43_4(X3,X4,X2,X5) ) ).
cnf(i_0_628_064,axiom,
( X1 != X2
| esk43_4(X3,X4,X5,X1) = esk43_4(X3,X4,X5,X2) ) ).
cnf(i_0_629_065,axiom,
( X1 != X2
| esk38_4(X1,X3,X4,X5) = esk38_4(X2,X3,X4,X5) ) ).
cnf(i_0_630_066,axiom,
( X1 != X2
| esk38_4(X3,X1,X4,X5) = esk38_4(X3,X2,X4,X5) ) ).
cnf(i_0_631_067,axiom,
( X1 != X2
| esk38_4(X3,X4,X1,X5) = esk38_4(X3,X4,X2,X5) ) ).
cnf(i_0_632_068,axiom,
( X1 != X2
| esk38_4(X3,X4,X5,X1) = esk38_4(X3,X4,X5,X2) ) ).
cnf(i_0_633_069,axiom,
( X1 != X2
| esk40_4(X1,X3,X4,X5) = esk40_4(X2,X3,X4,X5) ) ).
cnf(i_0_634_070,axiom,
( X1 != X2
| esk40_4(X3,X1,X4,X5) = esk40_4(X3,X2,X4,X5) ) ).
cnf(i_0_635_071,axiom,
( X1 != X2
| esk40_4(X3,X4,X1,X5) = esk40_4(X3,X4,X2,X5) ) ).
cnf(i_0_636_072,axiom,
( X1 != X2
| esk40_4(X3,X4,X5,X1) = esk40_4(X3,X4,X5,X2) ) ).
cnf(i_0_637_073,axiom,
( X1 != X2
| vabs(X1,X3,X4) = vabs(X2,X3,X4) ) ).
cnf(i_0_638_074,axiom,
( X1 != X2
| vabs(X3,X1,X4) = vabs(X3,X2,X4) ) ).
cnf(i_0_639_075,axiom,
( X1 != X2
| vabs(X3,X4,X1) = vabs(X3,X4,X2) ) ).
cnf(i_0_640_076,axiom,
( X1 != X2
| varrow(X1,X3) = varrow(X2,X3) ) ).
cnf(i_0_641_077,axiom,
( X1 != X2
| varrow(X3,X1) = varrow(X3,X2) ) ).
cnf(i_0_642_078,axiom,
( X1 != X2
| vbind(X1,X3,X4) = vbind(X2,X3,X4) ) ).
cnf(i_0_643_079,axiom,
( X1 != X2
| vbind(X3,X1,X4) = vbind(X3,X2,X4) ) ).
cnf(i_0_644_080,axiom,
( X1 != X2
| vbind(X3,X4,X1) = vbind(X3,X4,X2) ) ).
cnf(i_0_645_081,axiom,
( X1 != X2
| vlookup(X1,X3) = vlookup(X2,X3) ) ).
cnf(i_0_646_082,axiom,
( X1 != X2
| vlookup(X3,X1) = vlookup(X3,X2) ) ).
cnf(i_0_647_083,axiom,
( X1 != X2
| esk57_4(X1,X3,X4,X5) = esk57_4(X2,X3,X4,X5) ) ).
cnf(i_0_648_084,axiom,
( X1 != X2
| esk57_4(X3,X1,X4,X5) = esk57_4(X3,X2,X4,X5) ) ).
cnf(i_0_649_085,axiom,
( X1 != X2
| esk57_4(X3,X4,X1,X5) = esk57_4(X3,X4,X2,X5) ) ).
cnf(i_0_650_086,axiom,
( X1 != X2
| esk57_4(X3,X4,X5,X1) = esk57_4(X3,X4,X5,X2) ) ).
cnf(i_0_651_087,axiom,
( X1 != X2
| vsomeType(X1) = vsomeType(X2) ) ).
cnf(i_0_652_088,axiom,
( X1 != X2
| esk67_2(X1,X3) = esk67_2(X2,X3) ) ).
cnf(i_0_653_089,axiom,
( X1 != X2
| esk67_2(X3,X1) = esk67_2(X3,X2) ) ).
cnf(i_0_654_090,axiom,
( X1 != X2
| esk41_4(X1,X3,X4,X5) = esk41_4(X2,X3,X4,X5) ) ).
cnf(i_0_655_091,axiom,
( X1 != X2
| esk41_4(X3,X1,X4,X5) = esk41_4(X3,X2,X4,X5) ) ).
cnf(i_0_656_092,axiom,
( X1 != X2
| esk41_4(X3,X4,X1,X5) = esk41_4(X3,X4,X2,X5) ) ).
cnf(i_0_657_093,axiom,
( X1 != X2
| esk41_4(X3,X4,X5,X1) = esk41_4(X3,X4,X5,X2) ) ).
cnf(i_0_658_094,axiom,
( X1 != X2
| esk69_2(X1,X3) = esk69_2(X2,X3) ) ).
cnf(i_0_659_095,axiom,
( X1 != X2
| esk69_2(X3,X1) = esk69_2(X3,X2) ) ).
cnf(i_0_660_096,axiom,
( X1 != X2
| esk7_3(X1,X3,X4) = esk7_3(X2,X3,X4) ) ).
cnf(i_0_661_097,axiom,
( X1 != X2
| esk7_3(X3,X1,X4) = esk7_3(X3,X2,X4) ) ).
cnf(i_0_662_098,axiom,
( X1 != X2
| esk7_3(X3,X4,X1) = esk7_3(X3,X4,X2) ) ).
cnf(i_0_663_099,axiom,
( X1 != X2
| esk4_3(X1,X3,X4) = esk4_3(X2,X3,X4) ) ).
cnf(i_0_664_100,axiom,
( X1 != X2
| esk4_3(X3,X1,X4) = esk4_3(X3,X2,X4) ) ).
cnf(i_0_665_101,axiom,
( X1 != X2
| esk4_3(X3,X4,X1) = esk4_3(X3,X4,X2) ) ).
cnf(i_0_666_102,axiom,
( X1 != X2
| esk56_4(X1,X3,X4,X5) = esk56_4(X2,X3,X4,X5) ) ).
cnf(i_0_667_103,axiom,
( X1 != X2
| esk56_4(X3,X1,X4,X5) = esk56_4(X3,X2,X4,X5) ) ).
cnf(i_0_668_104,axiom,
( X1 != X2
| esk56_4(X3,X4,X1,X5) = esk56_4(X3,X4,X2,X5) ) ).
cnf(i_0_669_105,axiom,
( X1 != X2
| esk56_4(X3,X4,X5,X1) = esk56_4(X3,X4,X5,X2) ) ).
cnf(i_0_670_106,axiom,
( X1 != X2
| esk1_3(X1,X3,X4) = esk1_3(X2,X3,X4) ) ).
cnf(i_0_671_107,axiom,
( X1 != X2
| esk1_3(X3,X1,X4) = esk1_3(X3,X2,X4) ) ).
cnf(i_0_672_108,axiom,
( X1 != X2
| esk1_3(X3,X4,X1) = esk1_3(X3,X4,X2) ) ).
cnf(i_0_673_109,axiom,
( X1 != X2
| esk8_3(X1,X3,X4) = esk8_3(X2,X3,X4) ) ).
cnf(i_0_674_110,axiom,
( X1 != X2
| esk8_3(X3,X1,X4) = esk8_3(X3,X2,X4) ) ).
cnf(i_0_675_111,axiom,
( X1 != X2
| esk8_3(X3,X4,X1) = esk8_3(X3,X4,X2) ) ).
cnf(i_0_676_112,axiom,
( X1 != X2
| esk3_3(X1,X3,X4) = esk3_3(X2,X3,X4) ) ).
cnf(i_0_677_113,axiom,
( X1 != X2
| esk3_3(X3,X1,X4) = esk3_3(X3,X2,X4) ) ).
cnf(i_0_678_114,axiom,
( X1 != X2
| esk3_3(X3,X4,X1) = esk3_3(X3,X4,X2) ) ).
cnf(i_0_679_115,axiom,
( X1 != X2
| esk79_2(X1,X3) = esk79_2(X2,X3) ) ).
cnf(i_0_680_116,axiom,
( X1 != X2
| esk79_2(X3,X1) = esk79_2(X3,X2) ) ).
cnf(i_0_681_117,axiom,
( X1 != X2
| vvar(X1) = vvar(X2) ) ).
cnf(i_0_682_118,axiom,
( X1 != X2
| esk78_2(X1,X3) = esk78_2(X2,X3) ) ).
cnf(i_0_683_119,axiom,
( X1 != X2
| esk78_2(X3,X1) = esk78_2(X3,X2) ) ).
cnf(i_0_684_120,axiom,
( X1 != X2
| esk76_2(X1,X3) = esk76_2(X2,X3) ) ).
cnf(i_0_685_121,axiom,
( X1 != X2
| esk76_2(X3,X1) = esk76_2(X3,X2) ) ).
cnf(i_0_686_122,axiom,
( X1 != X2
| esk22_2(X1,X3) = esk22_2(X2,X3) ) ).
cnf(i_0_687_123,axiom,
( X1 != X2
| esk22_2(X3,X1) = esk22_2(X3,X2) ) ).
cnf(i_0_688_124,axiom,
( X1 != X2
| esk23_2(X1,X3) = esk23_2(X2,X3) ) ).
cnf(i_0_689_125,axiom,
( X1 != X2
| esk23_2(X3,X1) = esk23_2(X3,X2) ) ).
cnf(i_0_690_126,axiom,
( X1 != X2
| vgetSomeType(X1) = vgetSomeType(X2) ) ).
cnf(i_0_691_127,axiom,
( X1 != X2
| ~ epred1_4(X1,X3,X4,X5)
| epred1_4(X2,X3,X4,X5) ) ).
cnf(i_0_692_128,axiom,
( X1 != X2
| ~ epred1_4(X3,X1,X4,X5)
| epred1_4(X3,X2,X4,X5) ) ).
cnf(i_0_693_129,axiom,
( X1 != X2
| ~ epred1_4(X3,X4,X1,X5)
| epred1_4(X3,X4,X2,X5) ) ).
cnf(i_0_694_130,axiom,
( X1 != X2
| ~ epred1_4(X3,X4,X5,X1)
| epred1_4(X3,X4,X5,X2) ) ).
cnf(i_0_695_131,axiom,
( X1 != X2
| ~ epred2_4(X1,X3,X4,X5)
| epred2_4(X2,X3,X4,X5) ) ).
cnf(i_0_696_132,axiom,
( X1 != X2
| ~ epred2_4(X3,X1,X4,X5)
| epred2_4(X3,X2,X4,X5) ) ).
cnf(i_0_697_133,axiom,
( X1 != X2
| ~ epred2_4(X3,X4,X1,X5)
| epred2_4(X3,X4,X2,X5) ) ).
cnf(i_0_698_134,axiom,
( X1 != X2
| ~ epred2_4(X3,X4,X5,X1)
| epred2_4(X3,X4,X5,X2) ) ).
cnf(i_0_699_135,axiom,
( X1 != X2
| ~ visFreeVar(X1,X3)
| visFreeVar(X2,X3) ) ).
cnf(i_0_700_136,axiom,
( X1 != X2
| ~ visFreeVar(X3,X1)
| visFreeVar(X3,X2) ) ).
cnf(i_0_701_137,axiom,
( X1 != X2
| ~ visSomeExp(X1)
| visSomeExp(X2) ) ).
cnf(i_0_702_138,axiom,
( X1 != X2
| ~ vtcheck(X1,X3,X4)
| vtcheck(X2,X3,X4) ) ).
cnf(i_0_703_139,axiom,
( X1 != X2
| ~ vtcheck(X3,X1,X4)
| vtcheck(X3,X2,X4) ) ).
cnf(i_0_704_140,axiom,
( X1 != X2
| ~ vtcheck(X3,X4,X1)
| vtcheck(X3,X4,X2) ) ).
cnf(i_0_705_141,axiom,
( X1 != X2
| ~ epred3_2(X1,X3)
| epred3_2(X2,X3) ) ).
cnf(i_0_706_142,axiom,
( X1 != X2
| ~ epred3_2(X3,X1)
| epred3_2(X3,X2) ) ).
cnf(i_0_707_143,axiom,
( X1 != X2
| ~ visValue(X1)
| visValue(X2) ) ).
cnf(i_0_708_144,axiom,
( X1 != X2
| ~ epred4_2(X1,X3)
| epred4_2(X2,X3) ) ).
cnf(i_0_709_145,axiom,
( X1 != X2
| ~ epred4_2(X3,X1)
| epred4_2(X3,X2) ) ).
cnf(i_0_710_146,axiom,
( X1 != X2
| ~ visSomeType(X1)
| visSomeType(X2) ) ).
cnf(i_0_711,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,[],[222]) ).
cnf(i_0_712,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,[],[284]) ).
cnf(i_0_713,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,[],[285]) ).
cnf(i_0_714,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,[],[351]) ).
cnf(i_0_715,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,[],[356]) ).
cnf(i_0_716,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,[],[357]) ).
cnf(i_0_717,plain,
( vtcheck(vbind(X1,X2,X3),X4,X5)
| ~ vtcheck(vbind(X1,X2,vbind(X1,X6,X3)),X4,X5) ),
inference(equality_inference,[],[364]) ).
cnf(i_0_718,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,[],[371]) ).
cnf(i_0_719,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,[],[376]) ).
cnf(i_0_720,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,[],[377]) ).
cnf(i_0_721,plain,
( epred2_4(vsubst(X1,X2,X3),X3,X2,X1)
| X2 = esk13_4(X1,X2,X3,vsubst(X1,X2,X3)) ),
inference(equality_inference,[],[381]) ).
cnf(i_0_722,plain,
( epred2_4(vsubst(X1,X2,X3),X3,X2,X1)
| X1 = esk12_4(X1,X2,X3,vsubst(X1,X2,X3)) ),
inference(equality_inference,[],[382]) ).
cnf(i_0_723,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,[],[385]) ).
cnf(i_0_724,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,[],[386]) ).
cnf(i_0_725,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,[],[395]) ).
cnf(i_0_726,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,[],[396]) ).
cnf(i_0_727,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,[],[397]) ).
cnf(i_0_728,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,[],[398]) ).
cnf(i_0_729,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,[],[399]) ).
cnf(i_0_730,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,[],[400]) ).
cnf(i_0_731,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,[],[410]) ).
cnf(i_0_732,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,[],[411]) ).
cnf(i_0_733,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,[],[412]) ).
cnf(i_0_734,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,[],[413]) ).
cnf(i_0_735,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,[],[417]) ).
cnf(i_0_736,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,[],[418]) ).
cnf(i_0_737,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,[],[432]) ).
cnf(i_0_738,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,[],[433]) ).
cnf(i_0_739,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,[],[434]) ).
cnf(i_0_740,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,[],[435]) ).
cnf(i_0_741,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,[],[436]) ).
cnf(i_0_742,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,[],[447]) ).
cnf(i_0_743,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,[],[448]) ).
cnf(i_0_744,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,[],[468]) ).
cnf(i_0_745,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,[],[470]) ).
cnf(i_0_746,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,[],[478]) ).
cnf(i_0_747,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,[],[479]) ).
cnf(i_0_748,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,[],[482]) ).
cnf(i_0_749,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,[],[483]) ).
cnf(i_0_750,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,[],[484]) ).
cnf(i_0_751,plain,
X1 = X1,
inference(equality_inference,[],[486]) ).
cnf(i_0_752,plain,
X1 = X1,
inference(equality_inference,[],[487]) ).
cnf(i_0_753,plain,
X1 = X1,
inference(equality_inference,[],[488]) ).
cnf(i_0_754,plain,
X1 = X1,
inference(equality_inference,[],[489]) ).
cnf(i_0_755,plain,
X1 = X1,
inference(equality_inference,[],[490]) ).
cnf(i_0_756,plain,
X1 = X1,
inference(equality_inference,[],[491]) ).
cnf(i_0_757,plain,
( X1 = esk3_3(X1,X2,vlookup(X1,X2))
| X2 = vempty
| X1 = esk8_3(X1,X2,vlookup(X1,X2)) ),
inference(equality_inference,[],[499]) ).
cnf(i_0_758,plain,
( X1 = esk3_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_759,plain,
visValue(vabs(X1,X2,X3)),
inference(equality_inference,[],[528]) ).
cnf(i_0_760,plain,
( epred4_2(vreduce(X1),X1)
| X1 = vapp(esk22_2(X1,vreduce(X1)),esk21_2(X1,vreduce(X1))) ),
inference(equality_inference,[],[529]) ).
cnf(i_0_761,plain,
( epred4_2(vreduce(X1),X1)
| ~ visSomeExp(esk23_2(X1,vreduce(X1))) ),
inference(equality_inference,[],[535]) ).
cnf(i_0_762,plain,
( epred4_2(vreduce(X1),X1)
| esk23_2(X1,vreduce(X1)) = vreduce(esk22_2(X1,vreduce(X1))) ),
inference(equality_inference,[],[537]) ).
cnf(i_0_763,plain,
X1 = X1,
inference(equality_inference,[],[540]) ).
cnf(i_0_764,plain,
X1 = X1,
inference(equality_inference,[],[541]) ).
cnf(i_0_765,plain,
X1 = X1,
inference(equality_inference,[],[542]) ).
cnf(i_0_766,plain,
X1 = X1,
inference(equality_inference,[],[543]) ).
cnf(i_0_767,plain,
~ visValue(vapp(X1,X2)),
inference(equality_inference,[],[546]) ).
cnf(i_0_768,plain,
~ visFreeVar(vgensym(X1),X1),
inference(equality_inference,[],[547]) ).
cnf(i_0_769,plain,
( epred4_2(vreduce(X1),X1)
| vreduce(X1) = vnoExp ),
inference(equality_inference,[],[550]) ).
cnf(i_0_770,plain,
~ visValue(vvar(X1)),
inference(equality_inference,[],[554]) ).
cnf(i_0_771,plain,
X1 = X1,
inference(equality_inference,[],[555]) ).
cnf(i_0_772,plain,
X1 = X1,
inference(equality_inference,[],[556]) ).
cnf(i_0_773,plain,
X1 = X1,
inference(equality_inference,[],[557]) ).
cnf(i_0_774,plain,
visSomeExp(vsomeExp(X1)),
inference(equality_inference,[],[558]) ).
cnf(i_0_775,plain,
visSomeType(vsomeType(X1)),
inference(equality_inference,[],[559]) ).
cnf(i_0_776,plain,
~ visSomeExp(vnoExp),
inference(equality_inference,[],[561]) ).
cnf(i_0_777,plain,
~ visSomeType(vnoType),
inference(equality_inference,[],[562]) ).
cnf(i_0_778,plain,
~ visSomeType(vlookup(esk32_0,esk34_0)),
inference(scs_inference,[],[i_0_560,i_0_562]) ).
cnf(i_0_779,plain,
( X1 != vnoType
| ~ visSomeType(X1) ),
inference(rename_variables,[],[i_0_562]) ).
cnf(i_0_780,plain,
vnoType = vlookup(esk32_0,esk34_0),
inference(scs_inference,[],[i_0_560,i_0_562,i_0_566]) ).
cnf(i_0_781,plain,
epred2_4(vsubst(X1,X2,vvar(X3)),vvar(X3),X2,X1),
inference(scs_inference,[],[i_0_560,i_0_527,i_0_562,i_0_566,i_0_713]) ).
cnf(i_0_782,plain,
vvar(X1) != vabs(X2,X3,X4),
inference(rename_variables,[],[i_0_527]) ).
cnf(i_0_783,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_713]) ).
cnf(i_0_784,plain,
epred4_2(vreduce(vabs(X1,X2,X3)),vabs(X1,X2,X3)),
inference(scs_inference,[],[i_0_560,i_0_521,i_0_527,i_0_562,i_0_566,i_0_713,i_0_760]) ).
cnf(i_0_785,plain,
vabs(X1,X2,X3) != vapp(X4,X5),
inference(rename_variables,[],[i_0_521]) ).
cnf(i_0_786,plain,
( X1 = vapp(esk22_2(X1,vreduce(X1)),esk21_2(X1,vreduce(X1)))
| epred4_2(vreduce(X1),X1) ),
inference(rename_variables,[],[i_0_760]) ).
cnf(i_0_787,plain,
~ visFreeVar(vgensym(vnoType),vlookup(esk32_0,esk34_0)),
inference(scs_inference,[],[i_0_560,i_0_768,i_0_521,i_0_527,i_0_562,i_0_566,i_0_713,i_0_760,i_0_700]) ).
cnf(i_0_788,plain,
~ visFreeVar(vgensym(X1),X1),
inference(rename_variables,[],[i_0_768]) ).
cnf(i_0_789,plain,
vsomeExp(X1) != vnoExp,
inference(scs_inference,[],[i_0_560,i_0_768,i_0_774,i_0_521,i_0_527,i_0_776,i_0_562,i_0_566,i_0_713,i_0_760,i_0_700,i_0_701]) ).
cnf(i_0_790,plain,
esk34_0 != vbind(esk32_0,esk33_0,esk34_0),
inference(scs_inference,[],[i_0_423,i_0_494,i_0_560,i_0_768,i_0_774,i_0_521,i_0_527,i_0_776,i_0_562,i_0_566,i_0_713,i_0_760,i_0_700,i_0_701,i_0_702]) ).
cnf(i_0_791,plain,
vsomeType(X1) != vnoType,
inference(scs_inference,[],[i_0_423,i_0_494,i_0_560,i_0_777,i_0_768,i_0_774,i_0_775,i_0_521,i_0_527,i_0_776,i_0_562,i_0_566,i_0_713,i_0_760,i_0_700,i_0_701,i_0_702,i_0_710]) ).
cnf(i_0_792,plain,
esk32_0 != esk35_0,
inference(scs_inference,[],[i_0_423,i_0_494,i_0_560,i_0_777,i_0_768,i_0_774,i_0_775,i_0_521,i_0_527,i_0_776,i_0_562,i_0_566,i_0_713,i_0_760,i_0_700,i_0_701,i_0_702,i_0_710,i_0_387]) ).
cnf(i_0_793,plain,
( vlookup(X1,X2) != vnoType
| vtcheck(vbind(X1,X3,X2),vabs(X4,X5,veabs),X6)
| ~ vtcheck(X2,vabs(X4,X5,veabs),X6)
| X1 != X4 ),
inference(rename_variables,[],[i_0_387]) ).
cnf(i_0_794,plain,
$false,
inference(scs_inference,[],[i_0_423,i_0_494,i_0_560,i_0_777,i_0_768,i_0_774,i_0_775,i_0_521,i_0_527,i_0_776,i_0_562,i_0_566,i_0_713,i_0_760,i_0_700,i_0_701,i_0_702,i_0_710,i_0_387,i_0_389]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.06 % Problem : COM141+1 : TPTP v9.2.1. Released v6.4.0.
% 0.00/0.06 % Command : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.06/0.24 % Computer : n024.cluster.edu
% 0.06/0.24 % Model : x86_64 x86_64
% 0.06/0.24 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.06/0.24 % Memory : 8042.1875MB
% 0.06/0.24 % OS : Linux 3.10.0-693.el7.x86_64
% 0.06/0.24 % CPULimit : 300
% 0.06/0.24 % WCLimit : 300
% 0.06/0.24 % DateTime : Mon May 4 11:21:42 EDT 2026
% 0.06/0.24 % CPUTime :
% 0.06/0.25 % start to proof: theBenchmark
% 0.38/1.51 % Version : CSE_E---1.7
% 0.38/1.51 % Problem : theBenchmark.p
% 0.38/1.51 % SZS status Theorem for theBenchmark.p
% 0.38/1.51 % SZS output start CNFRefutation
% See solution above
% 0.38/1.58 % Total time : 1.262s
%------------------------------------------------------------------------------