%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : COM125+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 : n007.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 04:13:17 PM UTC 2026
% Result : Theorem 0.62s 1.67s
% Output : CNFRefutation 0.76s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named c_0_59)
% 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-FreeVar-abs-2',axiom,
! [X9,X10,X20,X21,X35,X15] :
( ( X9 = X21
& ~ visFreeVar(X9,vabs(X21,X35,veabs))
& 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-FreeVar-abs-2') ).
fof('T-Weak-FreeVar-abs-1',axiom,
! [X9,X10,X20,X21,X35,X15] :
( ( X9 != X21
& ~ visFreeVar(X9,vabs(X21,X35,veabs))
& 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-FreeVar-abs-1') ).
fof('T-Weak-FreeVar-abs',conjecture,
! [X9,X10,X20,X21,X35,X15] :
( ( ~ visFreeVar(X9,vabs(X21,X35,veabs))
& 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-FreeVar-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('T-Strong',axiom,
! [X9,X10,X20,X11,X15] :
( ( ~ visFreeVar(X9,X11)
& vtcheck(vbind(X9,X10,X20),X11,X15) )
=> vtcheck(X20,X11,X15) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','T-Strong') ).
fof('T-Weak-FreeVar-abs-IH',axiom,
! [X9,X10,X20,X15] :
( ( ~ visFreeVar(X9,veabs)
& vtcheck(X20,veabs,X15) )
=> vtcheck(vbind(X9,X10,X20),veabs,X15) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','T-Weak-FreeVar-abs-IH') ).
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(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',axiom,
! [X9,X10,X20,X11,X15] :
( ( vlookup(X9,X20) = vnoType
& vtcheck(X20,X11,X15) )
=> vtcheck(vbind(X9,X10,X20),X11,X15) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','T-Weak') ).
fof(subst3,axiom,
! [X11,X9,X1,X4,X6,X19,X21,X15,X12] :
( ( X1 = X9
& X4 = X11
& X6 = vabs(X21,X15,X12) )
=> ( X9 = X21
=> ( X19 = vsubst(X1,X4,X6)
=> X19 = vabs(X21,X15,X12) ) ) ),
file('/export/starexec/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_57,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_58,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_59,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_60,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_57]) ).
fof(i_0_61,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_62,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_58]),c_0_59]) ).
fof(i_0_63,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_58]) ).
fof(i_0_64,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_59]) ).
fof(i_0_65,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_66,plain,
! [X697,X698] :
( ( X697 = vapp(vabs(esk70_2(X697,X698),esk68_2(X697,X698),esk72_2(X697,X698)),esk71_2(X697,X698))
| X697 = vapp(vabs(esk64_2(X697,X698),esk65_2(X697,X698),esk66_2(X697,X698)),esk63_2(X697,X698))
| X697 = vabs(esk60_2(X697,X698),esk61_2(X697,X698),esk62_2(X697,X698))
| X697 = vvar(esk59_2(X697,X698))
| ~ epred3_2(X698,X697) )
& ( esk69_2(X697,X698) = vreduce(esk71_2(X697,X698))
| X697 = vapp(vabs(esk64_2(X697,X698),esk65_2(X697,X698),esk66_2(X697,X698)),esk63_2(X697,X698))
| X697 = vabs(esk60_2(X697,X698),esk61_2(X697,X698),esk62_2(X697,X698))
| X697 = vvar(esk59_2(X697,X698))
| ~ epred3_2(X698,X697) )
& ( ~ visSomeExp(esk69_2(X697,X698))
| X697 = vapp(vabs(esk64_2(X697,X698),esk65_2(X697,X698),esk66_2(X697,X698)),esk63_2(X697,X698))
| X697 = vabs(esk60_2(X697,X698),esk61_2(X697,X698),esk62_2(X697,X698))
| X697 = vvar(esk59_2(X697,X698))
| ~ epred3_2(X698,X697) )
& ( visValue(esk71_2(X697,X698))
| X697 = vapp(vabs(esk64_2(X697,X698),esk65_2(X697,X698),esk66_2(X697,X698)),esk63_2(X697,X698))
| X697 = vabs(esk60_2(X697,X698),esk61_2(X697,X698),esk62_2(X697,X698))
| X697 = vvar(esk59_2(X697,X698))
| ~ epred3_2(X698,X697) )
& ( X698 = vsomeExp(vsubst(esk70_2(X697,X698),esk71_2(X697,X698),esk72_2(X697,X698)))
| X697 = vapp(vabs(esk64_2(X697,X698),esk65_2(X697,X698),esk66_2(X697,X698)),esk63_2(X697,X698))
| X697 = vabs(esk60_2(X697,X698),esk61_2(X697,X698),esk62_2(X697,X698))
| X697 = vvar(esk59_2(X697,X698))
| ~ epred3_2(X698,X697) )
& ( X697 = vapp(vabs(esk70_2(X697,X698),esk68_2(X697,X698),esk72_2(X697,X698)),esk71_2(X697,X698))
| esk67_2(X697,X698) = vreduce(esk63_2(X697,X698))
| X697 = vabs(esk60_2(X697,X698),esk61_2(X697,X698),esk62_2(X697,X698))
| X697 = vvar(esk59_2(X697,X698))
| ~ epred3_2(X698,X697) )
& ( esk69_2(X697,X698) = vreduce(esk71_2(X697,X698))
| esk67_2(X697,X698) = vreduce(esk63_2(X697,X698))
| X697 = vabs(esk60_2(X697,X698),esk61_2(X697,X698),esk62_2(X697,X698))
| X697 = vvar(esk59_2(X697,X698))
| ~ epred3_2(X698,X697) )
& ( ~ visSomeExp(esk69_2(X697,X698))
| esk67_2(X697,X698) = vreduce(esk63_2(X697,X698))
| X697 = vabs(esk60_2(X697,X698),esk61_2(X697,X698),esk62_2(X697,X698))
| X697 = vvar(esk59_2(X697,X698))
| ~ epred3_2(X698,X697) )
& ( visValue(esk71_2(X697,X698))
| esk67_2(X697,X698) = vreduce(esk63_2(X697,X698))
| X697 = vabs(esk60_2(X697,X698),esk61_2(X697,X698),esk62_2(X697,X698))
| X697 = vvar(esk59_2(X697,X698))
| ~ epred3_2(X698,X697) )
& ( X698 = vsomeExp(vsubst(esk70_2(X697,X698),esk71_2(X697,X698),esk72_2(X697,X698)))
| esk67_2(X697,X698) = vreduce(esk63_2(X697,X698))
| X697 = vabs(esk60_2(X697,X698),esk61_2(X697,X698),esk62_2(X697,X698))
| X697 = vvar(esk59_2(X697,X698))
| ~ epred3_2(X698,X697) )
& ( X697 = vapp(vabs(esk70_2(X697,X698),esk68_2(X697,X698),esk72_2(X697,X698)),esk71_2(X697,X698))
| visSomeExp(esk67_2(X697,X698))
| X697 = vabs(esk60_2(X697,X698),esk61_2(X697,X698),esk62_2(X697,X698))
| X697 = vvar(esk59_2(X697,X698))
| ~ epred3_2(X698,X697) )
& ( esk69_2(X697,X698) = vreduce(esk71_2(X697,X698))
| visSomeExp(esk67_2(X697,X698))
| X697 = vabs(esk60_2(X697,X698),esk61_2(X697,X698),esk62_2(X697,X698))
| X697 = vvar(esk59_2(X697,X698))
| ~ epred3_2(X698,X697) )
& ( ~ visSomeExp(esk69_2(X697,X698))
| visSomeExp(esk67_2(X697,X698))
| X697 = vabs(esk60_2(X697,X698),esk61_2(X697,X698),esk62_2(X697,X698))
| X697 = vvar(esk59_2(X697,X698))
| ~ epred3_2(X698,X697) )
& ( visValue(esk71_2(X697,X698))
| visSomeExp(esk67_2(X697,X698))
| X697 = vabs(esk60_2(X697,X698),esk61_2(X697,X698),esk62_2(X697,X698))
| X697 = vvar(esk59_2(X697,X698))
| ~ epred3_2(X698,X697) )
& ( X698 = vsomeExp(vsubst(esk70_2(X697,X698),esk71_2(X697,X698),esk72_2(X697,X698)))
| visSomeExp(esk67_2(X697,X698))
| X697 = vabs(esk60_2(X697,X698),esk61_2(X697,X698),esk62_2(X697,X698))
| X697 = vvar(esk59_2(X697,X698))
| ~ epred3_2(X698,X697) )
& ( X697 = vapp(vabs(esk70_2(X697,X698),esk68_2(X697,X698),esk72_2(X697,X698)),esk71_2(X697,X698))
| X698 = vsomeExp(vapp(vabs(esk64_2(X697,X698),esk65_2(X697,X698),esk66_2(X697,X698)),vgetSomeExp(esk67_2(X697,X698))))
| X697 = vabs(esk60_2(X697,X698),esk61_2(X697,X698),esk62_2(X697,X698))
| X697 = vvar(esk59_2(X697,X698))
| ~ epred3_2(X698,X697) )
& ( esk69_2(X697,X698) = vreduce(esk71_2(X697,X698))
| X698 = vsomeExp(vapp(vabs(esk64_2(X697,X698),esk65_2(X697,X698),esk66_2(X697,X698)),vgetSomeExp(esk67_2(X697,X698))))
| X697 = vabs(esk60_2(X697,X698),esk61_2(X697,X698),esk62_2(X697,X698))
| X697 = vvar(esk59_2(X697,X698))
| ~ epred3_2(X698,X697) )
& ( ~ visSomeExp(esk69_2(X697,X698))
| X698 = vsomeExp(vapp(vabs(esk64_2(X697,X698),esk65_2(X697,X698),esk66_2(X697,X698)),vgetSomeExp(esk67_2(X697,X698))))
| X697 = vabs(esk60_2(X697,X698),esk61_2(X697,X698),esk62_2(X697,X698))
| X697 = vvar(esk59_2(X697,X698))
| ~ epred3_2(X698,X697) )
& ( visValue(esk71_2(X697,X698))
| X698 = vsomeExp(vapp(vabs(esk64_2(X697,X698),esk65_2(X697,X698),esk66_2(X697,X698)),vgetSomeExp(esk67_2(X697,X698))))
| X697 = vabs(esk60_2(X697,X698),esk61_2(X697,X698),esk62_2(X697,X698))
| X697 = vvar(esk59_2(X697,X698))
| ~ epred3_2(X698,X697) )
& ( X698 = vsomeExp(vsubst(esk70_2(X697,X698),esk71_2(X697,X698),esk72_2(X697,X698)))
| X698 = vsomeExp(vapp(vabs(esk64_2(X697,X698),esk65_2(X697,X698),esk66_2(X697,X698)),vgetSomeExp(esk67_2(X697,X698))))
| X697 = vabs(esk60_2(X697,X698),esk61_2(X697,X698),esk62_2(X697,X698))
| X697 = vvar(esk59_2(X697,X698))
| ~ epred3_2(X698,X697) )
& ( X697 = vapp(vabs(esk70_2(X697,X698),esk68_2(X697,X698),esk72_2(X697,X698)),esk71_2(X697,X698))
| X697 = vapp(vabs(esk64_2(X697,X698),esk65_2(X697,X698),esk66_2(X697,X698)),esk63_2(X697,X698))
| X698 = vnoExp
| X697 = vvar(esk59_2(X697,X698))
| ~ epred3_2(X698,X697) )
& ( esk69_2(X697,X698) = vreduce(esk71_2(X697,X698))
| X697 = vapp(vabs(esk64_2(X697,X698),esk65_2(X697,X698),esk66_2(X697,X698)),esk63_2(X697,X698))
| X698 = vnoExp
| X697 = vvar(esk59_2(X697,X698))
| ~ epred3_2(X698,X697) )
& ( ~ visSomeExp(esk69_2(X697,X698))
| X697 = vapp(vabs(esk64_2(X697,X698),esk65_2(X697,X698),esk66_2(X697,X698)),esk63_2(X697,X698))
| X698 = vnoExp
| X697 = vvar(esk59_2(X697,X698))
| ~ epred3_2(X698,X697) )
& ( visValue(esk71_2(X697,X698))
| X697 = vapp(vabs(esk64_2(X697,X698),esk65_2(X697,X698),esk66_2(X697,X698)),esk63_2(X697,X698))
| X698 = vnoExp
| X697 = vvar(esk59_2(X697,X698))
| ~ epred3_2(X698,X697) )
& ( X698 = vsomeExp(vsubst(esk70_2(X697,X698),esk71_2(X697,X698),esk72_2(X697,X698)))
| X697 = vapp(vabs(esk64_2(X697,X698),esk65_2(X697,X698),esk66_2(X697,X698)),esk63_2(X697,X698))
| X698 = vnoExp
| X697 = vvar(esk59_2(X697,X698))
| ~ epred3_2(X698,X697) )
& ( X697 = vapp(vabs(esk70_2(X697,X698),esk68_2(X697,X698),esk72_2(X697,X698)),esk71_2(X697,X698))
| esk67_2(X697,X698) = vreduce(esk63_2(X697,X698))
| X698 = vnoExp
| X697 = vvar(esk59_2(X697,X698))
| ~ epred3_2(X698,X697) )
& ( esk69_2(X697,X698) = vreduce(esk71_2(X697,X698))
| esk67_2(X697,X698) = vreduce(esk63_2(X697,X698))
| X698 = vnoExp
| X697 = vvar(esk59_2(X697,X698))
| ~ epred3_2(X698,X697) )
& ( ~ visSomeExp(esk69_2(X697,X698))
| esk67_2(X697,X698) = vreduce(esk63_2(X697,X698))
| X698 = vnoExp
| X697 = vvar(esk59_2(X697,X698))
| ~ epred3_2(X698,X697) )
& ( visValue(esk71_2(X697,X698))
| esk67_2(X697,X698) = vreduce(esk63_2(X697,X698))
| X698 = vnoExp
| X697 = vvar(esk59_2(X697,X698))
| ~ epred3_2(X698,X697) )
& ( X698 = vsomeExp(vsubst(esk70_2(X697,X698),esk71_2(X697,X698),esk72_2(X697,X698)))
| esk67_2(X697,X698) = vreduce(esk63_2(X697,X698))
| X698 = vnoExp
| X697 = vvar(esk59_2(X697,X698))
| ~ epred3_2(X698,X697) )
& ( X697 = vapp(vabs(esk70_2(X697,X698),esk68_2(X697,X698),esk72_2(X697,X698)),esk71_2(X697,X698))
| visSomeExp(esk67_2(X697,X698))
| X698 = vnoExp
| X697 = vvar(esk59_2(X697,X698))
| ~ epred3_2(X698,X697) )
& ( esk69_2(X697,X698) = vreduce(esk71_2(X697,X698))
| visSomeExp(esk67_2(X697,X698))
| X698 = vnoExp
| X697 = vvar(esk59_2(X697,X698))
| ~ epred3_2(X698,X697) )
& ( ~ visSomeExp(esk69_2(X697,X698))
| visSomeExp(esk67_2(X697,X698))
| X698 = vnoExp
| X697 = vvar(esk59_2(X697,X698))
| ~ epred3_2(X698,X697) )
& ( visValue(esk71_2(X697,X698))
| visSomeExp(esk67_2(X697,X698))
| X698 = vnoExp
| X697 = vvar(esk59_2(X697,X698))
| ~ epred3_2(X698,X697) )
& ( X698 = vsomeExp(vsubst(esk70_2(X697,X698),esk71_2(X697,X698),esk72_2(X697,X698)))
| visSomeExp(esk67_2(X697,X698))
| X698 = vnoExp
| X697 = vvar(esk59_2(X697,X698))
| ~ epred3_2(X698,X697) )
& ( X697 = vapp(vabs(esk70_2(X697,X698),esk68_2(X697,X698),esk72_2(X697,X698)),esk71_2(X697,X698))
| X698 = vsomeExp(vapp(vabs(esk64_2(X697,X698),esk65_2(X697,X698),esk66_2(X697,X698)),vgetSomeExp(esk67_2(X697,X698))))
| X698 = vnoExp
| X697 = vvar(esk59_2(X697,X698))
| ~ epred3_2(X698,X697) )
& ( esk69_2(X697,X698) = vreduce(esk71_2(X697,X698))
| X698 = vsomeExp(vapp(vabs(esk64_2(X697,X698),esk65_2(X697,X698),esk66_2(X697,X698)),vgetSomeExp(esk67_2(X697,X698))))
| X698 = vnoExp
| X697 = vvar(esk59_2(X697,X698))
| ~ epred3_2(X698,X697) )
& ( ~ visSomeExp(esk69_2(X697,X698))
| X698 = vsomeExp(vapp(vabs(esk64_2(X697,X698),esk65_2(X697,X698),esk66_2(X697,X698)),vgetSomeExp(esk67_2(X697,X698))))
| X698 = vnoExp
| X697 = vvar(esk59_2(X697,X698))
| ~ epred3_2(X698,X697) )
& ( visValue(esk71_2(X697,X698))
| X698 = vsomeExp(vapp(vabs(esk64_2(X697,X698),esk65_2(X697,X698),esk66_2(X697,X698)),vgetSomeExp(esk67_2(X697,X698))))
| X698 = vnoExp
| X697 = vvar(esk59_2(X697,X698))
| ~ epred3_2(X698,X697) )
& ( X698 = vsomeExp(vsubst(esk70_2(X697,X698),esk71_2(X697,X698),esk72_2(X697,X698)))
| X698 = vsomeExp(vapp(vabs(esk64_2(X697,X698),esk65_2(X697,X698),esk66_2(X697,X698)),vgetSomeExp(esk67_2(X697,X698))))
| X698 = vnoExp
| X697 = vvar(esk59_2(X697,X698))
| ~ epred3_2(X698,X697) )
& ( X697 = vapp(vabs(esk70_2(X697,X698),esk68_2(X697,X698),esk72_2(X697,X698)),esk71_2(X697,X698))
| X697 = vapp(vabs(esk64_2(X697,X698),esk65_2(X697,X698),esk66_2(X697,X698)),esk63_2(X697,X698))
| X697 = vabs(esk60_2(X697,X698),esk61_2(X697,X698),esk62_2(X697,X698))
| X698 = vnoExp
| ~ epred3_2(X698,X697) )
& ( esk69_2(X697,X698) = vreduce(esk71_2(X697,X698))
| X697 = vapp(vabs(esk64_2(X697,X698),esk65_2(X697,X698),esk66_2(X697,X698)),esk63_2(X697,X698))
| X697 = vabs(esk60_2(X697,X698),esk61_2(X697,X698),esk62_2(X697,X698))
| X698 = vnoExp
| ~ epred3_2(X698,X697) )
& ( ~ visSomeExp(esk69_2(X697,X698))
| X697 = vapp(vabs(esk64_2(X697,X698),esk65_2(X697,X698),esk66_2(X697,X698)),esk63_2(X697,X698))
| X697 = vabs(esk60_2(X697,X698),esk61_2(X697,X698),esk62_2(X697,X698))
| X698 = vnoExp
| ~ epred3_2(X698,X697) )
& ( visValue(esk71_2(X697,X698))
| X697 = vapp(vabs(esk64_2(X697,X698),esk65_2(X697,X698),esk66_2(X697,X698)),esk63_2(X697,X698))
| X697 = vabs(esk60_2(X697,X698),esk61_2(X697,X698),esk62_2(X697,X698))
| X698 = vnoExp
| ~ epred3_2(X698,X697) )
& ( X698 = vsomeExp(vsubst(esk70_2(X697,X698),esk71_2(X697,X698),esk72_2(X697,X698)))
| X697 = vapp(vabs(esk64_2(X697,X698),esk65_2(X697,X698),esk66_2(X697,X698)),esk63_2(X697,X698))
| X697 = vabs(esk60_2(X697,X698),esk61_2(X697,X698),esk62_2(X697,X698))
| X698 = vnoExp
| ~ epred3_2(X698,X697) )
& ( X697 = vapp(vabs(esk70_2(X697,X698),esk68_2(X697,X698),esk72_2(X697,X698)),esk71_2(X697,X698))
| esk67_2(X697,X698) = vreduce(esk63_2(X697,X698))
| X697 = vabs(esk60_2(X697,X698),esk61_2(X697,X698),esk62_2(X697,X698))
| X698 = vnoExp
| ~ epred3_2(X698,X697) )
& ( esk69_2(X697,X698) = vreduce(esk71_2(X697,X698))
| esk67_2(X697,X698) = vreduce(esk63_2(X697,X698))
| X697 = vabs(esk60_2(X697,X698),esk61_2(X697,X698),esk62_2(X697,X698))
| X698 = vnoExp
| ~ epred3_2(X698,X697) )
& ( ~ visSomeExp(esk69_2(X697,X698))
| esk67_2(X697,X698) = vreduce(esk63_2(X697,X698))
| X697 = vabs(esk60_2(X697,X698),esk61_2(X697,X698),esk62_2(X697,X698))
| X698 = vnoExp
| ~ epred3_2(X698,X697) )
& ( visValue(esk71_2(X697,X698))
| esk67_2(X697,X698) = vreduce(esk63_2(X697,X698))
| X697 = vabs(esk60_2(X697,X698),esk61_2(X697,X698),esk62_2(X697,X698))
| X698 = vnoExp
| ~ epred3_2(X698,X697) )
& ( X698 = vsomeExp(vsubst(esk70_2(X697,X698),esk71_2(X697,X698),esk72_2(X697,X698)))
| esk67_2(X697,X698) = vreduce(esk63_2(X697,X698))
| X697 = vabs(esk60_2(X697,X698),esk61_2(X697,X698),esk62_2(X697,X698))
| X698 = vnoExp
| ~ epred3_2(X698,X697) )
& ( X697 = vapp(vabs(esk70_2(X697,X698),esk68_2(X697,X698),esk72_2(X697,X698)),esk71_2(X697,X698))
| visSomeExp(esk67_2(X697,X698))
| X697 = vabs(esk60_2(X697,X698),esk61_2(X697,X698),esk62_2(X697,X698))
| X698 = vnoExp
| ~ epred3_2(X698,X697) )
& ( esk69_2(X697,X698) = vreduce(esk71_2(X697,X698))
| visSomeExp(esk67_2(X697,X698))
| X697 = vabs(esk60_2(X697,X698),esk61_2(X697,X698),esk62_2(X697,X698))
| X698 = vnoExp
| ~ epred3_2(X698,X697) )
& ( ~ visSomeExp(esk69_2(X697,X698))
| visSomeExp(esk67_2(X697,X698))
| X697 = vabs(esk60_2(X697,X698),esk61_2(X697,X698),esk62_2(X697,X698))
| X698 = vnoExp
| ~ epred3_2(X698,X697) )
& ( visValue(esk71_2(X697,X698))
| visSomeExp(esk67_2(X697,X698))
| X697 = vabs(esk60_2(X697,X698),esk61_2(X697,X698),esk62_2(X697,X698))
| X698 = vnoExp
| ~ epred3_2(X698,X697) )
& ( X698 = vsomeExp(vsubst(esk70_2(X697,X698),esk71_2(X697,X698),esk72_2(X697,X698)))
| visSomeExp(esk67_2(X697,X698))
| X697 = vabs(esk60_2(X697,X698),esk61_2(X697,X698),esk62_2(X697,X698))
| X698 = vnoExp
| ~ epred3_2(X698,X697) )
& ( X697 = vapp(vabs(esk70_2(X697,X698),esk68_2(X697,X698),esk72_2(X697,X698)),esk71_2(X697,X698))
| X698 = vsomeExp(vapp(vabs(esk64_2(X697,X698),esk65_2(X697,X698),esk66_2(X697,X698)),vgetSomeExp(esk67_2(X697,X698))))
| X697 = vabs(esk60_2(X697,X698),esk61_2(X697,X698),esk62_2(X697,X698))
| X698 = vnoExp
| ~ epred3_2(X698,X697) )
& ( esk69_2(X697,X698) = vreduce(esk71_2(X697,X698))
| X698 = vsomeExp(vapp(vabs(esk64_2(X697,X698),esk65_2(X697,X698),esk66_2(X697,X698)),vgetSomeExp(esk67_2(X697,X698))))
| X697 = vabs(esk60_2(X697,X698),esk61_2(X697,X698),esk62_2(X697,X698))
| X698 = vnoExp
| ~ epred3_2(X698,X697) )
& ( ~ visSomeExp(esk69_2(X697,X698))
| X698 = vsomeExp(vapp(vabs(esk64_2(X697,X698),esk65_2(X697,X698),esk66_2(X697,X698)),vgetSomeExp(esk67_2(X697,X698))))
| X697 = vabs(esk60_2(X697,X698),esk61_2(X697,X698),esk62_2(X697,X698))
| X698 = vnoExp
| ~ epred3_2(X698,X697) )
& ( visValue(esk71_2(X697,X698))
| X698 = vsomeExp(vapp(vabs(esk64_2(X697,X698),esk65_2(X697,X698),esk66_2(X697,X698)),vgetSomeExp(esk67_2(X697,X698))))
| X697 = vabs(esk60_2(X697,X698),esk61_2(X697,X698),esk62_2(X697,X698))
| X698 = vnoExp
| ~ epred3_2(X698,X697) )
& ( X698 = vsomeExp(vsubst(esk70_2(X697,X698),esk71_2(X697,X698),esk72_2(X697,X698)))
| X698 = vsomeExp(vapp(vabs(esk64_2(X697,X698),esk65_2(X697,X698),esk66_2(X697,X698)),vgetSomeExp(esk67_2(X697,X698))))
| X697 = vabs(esk60_2(X697,X698),esk61_2(X697,X698),esk62_2(X697,X698))
| X698 = vnoExp
| ~ epred3_2(X698,X697) )
& ( X697 = vapp(vabs(esk70_2(X697,X698),esk68_2(X697,X698),esk72_2(X697,X698)),esk71_2(X697,X698))
| X697 = vapp(vabs(esk64_2(X697,X698),esk65_2(X697,X698),esk66_2(X697,X698)),esk63_2(X697,X698))
| X698 = vnoExp
| X698 = vnoExp
| ~ epred3_2(X698,X697) )
& ( esk69_2(X697,X698) = vreduce(esk71_2(X697,X698))
| X697 = vapp(vabs(esk64_2(X697,X698),esk65_2(X697,X698),esk66_2(X697,X698)),esk63_2(X697,X698))
| X698 = vnoExp
| X698 = vnoExp
| ~ epred3_2(X698,X697) )
& ( ~ visSomeExp(esk69_2(X697,X698))
| X697 = vapp(vabs(esk64_2(X697,X698),esk65_2(X697,X698),esk66_2(X697,X698)),esk63_2(X697,X698))
| X698 = vnoExp
| X698 = vnoExp
| ~ epred3_2(X698,X697) )
& ( visValue(esk71_2(X697,X698))
| X697 = vapp(vabs(esk64_2(X697,X698),esk65_2(X697,X698),esk66_2(X697,X698)),esk63_2(X697,X698))
| X698 = vnoExp
| X698 = vnoExp
| ~ epred3_2(X698,X697) )
& ( X698 = vsomeExp(vsubst(esk70_2(X697,X698),esk71_2(X697,X698),esk72_2(X697,X698)))
| X697 = vapp(vabs(esk64_2(X697,X698),esk65_2(X697,X698),esk66_2(X697,X698)),esk63_2(X697,X698))
| X698 = vnoExp
| X698 = vnoExp
| ~ epred3_2(X698,X697) )
& ( X697 = vapp(vabs(esk70_2(X697,X698),esk68_2(X697,X698),esk72_2(X697,X698)),esk71_2(X697,X698))
| esk67_2(X697,X698) = vreduce(esk63_2(X697,X698))
| X698 = vnoExp
| X698 = vnoExp
| ~ epred3_2(X698,X697) )
& ( esk69_2(X697,X698) = vreduce(esk71_2(X697,X698))
| esk67_2(X697,X698) = vreduce(esk63_2(X697,X698))
| X698 = vnoExp
| X698 = vnoExp
| ~ epred3_2(X698,X697) )
& ( ~ visSomeExp(esk69_2(X697,X698))
| esk67_2(X697,X698) = vreduce(esk63_2(X697,X698))
| X698 = vnoExp
| X698 = vnoExp
| ~ epred3_2(X698,X697) )
& ( visValue(esk71_2(X697,X698))
| esk67_2(X697,X698) = vreduce(esk63_2(X697,X698))
| X698 = vnoExp
| X698 = vnoExp
| ~ epred3_2(X698,X697) )
& ( X698 = vsomeExp(vsubst(esk70_2(X697,X698),esk71_2(X697,X698),esk72_2(X697,X698)))
| esk67_2(X697,X698) = vreduce(esk63_2(X697,X698))
| X698 = vnoExp
| X698 = vnoExp
| ~ epred3_2(X698,X697) )
& ( X697 = vapp(vabs(esk70_2(X697,X698),esk68_2(X697,X698),esk72_2(X697,X698)),esk71_2(X697,X698))
| visSomeExp(esk67_2(X697,X698))
| X698 = vnoExp
| X698 = vnoExp
| ~ epred3_2(X698,X697) )
& ( esk69_2(X697,X698) = vreduce(esk71_2(X697,X698))
| visSomeExp(esk67_2(X697,X698))
| X698 = vnoExp
| X698 = vnoExp
| ~ epred3_2(X698,X697) )
& ( ~ visSomeExp(esk69_2(X697,X698))
| visSomeExp(esk67_2(X697,X698))
| X698 = vnoExp
| X698 = vnoExp
| ~ epred3_2(X698,X697) )
& ( visValue(esk71_2(X697,X698))
| visSomeExp(esk67_2(X697,X698))
| X698 = vnoExp
| X698 = vnoExp
| ~ epred3_2(X698,X697) )
& ( X698 = vsomeExp(vsubst(esk70_2(X697,X698),esk71_2(X697,X698),esk72_2(X697,X698)))
| visSomeExp(esk67_2(X697,X698))
| X698 = vnoExp
| X698 = vnoExp
| ~ epred3_2(X698,X697) )
& ( X697 = vapp(vabs(esk70_2(X697,X698),esk68_2(X697,X698),esk72_2(X697,X698)),esk71_2(X697,X698))
| X698 = vsomeExp(vapp(vabs(esk64_2(X697,X698),esk65_2(X697,X698),esk66_2(X697,X698)),vgetSomeExp(esk67_2(X697,X698))))
| X698 = vnoExp
| X698 = vnoExp
| ~ epred3_2(X698,X697) )
& ( esk69_2(X697,X698) = vreduce(esk71_2(X697,X698))
| X698 = vsomeExp(vapp(vabs(esk64_2(X697,X698),esk65_2(X697,X698),esk66_2(X697,X698)),vgetSomeExp(esk67_2(X697,X698))))
| X698 = vnoExp
| X698 = vnoExp
| ~ epred3_2(X698,X697) )
& ( ~ visSomeExp(esk69_2(X697,X698))
| X698 = vsomeExp(vapp(vabs(esk64_2(X697,X698),esk65_2(X697,X698),esk66_2(X697,X698)),vgetSomeExp(esk67_2(X697,X698))))
| X698 = vnoExp
| X698 = vnoExp
| ~ epred3_2(X698,X697) )
& ( visValue(esk71_2(X697,X698))
| X698 = vsomeExp(vapp(vabs(esk64_2(X697,X698),esk65_2(X697,X698),esk66_2(X697,X698)),vgetSomeExp(esk67_2(X697,X698))))
| X698 = vnoExp
| X698 = vnoExp
| ~ epred3_2(X698,X697) )
& ( X698 = vsomeExp(vsubst(esk70_2(X697,X698),esk71_2(X697,X698),esk72_2(X697,X698)))
| X698 = vsomeExp(vapp(vabs(esk64_2(X697,X698),esk65_2(X697,X698),esk66_2(X697,X698)),vgetSomeExp(esk67_2(X697,X698))))
| X698 = vnoExp
| X698 = vnoExp
| ~ epred3_2(X698,X697) ) ),
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_60])])])])]) ).
fof(i_0_67,plain,
! [X9,X10,X20,X21,X35,X15] :
( ( X9 = X21
& ~ visFreeVar(X9,vabs(X21,X35,veabs))
& vtcheck(X20,vabs(X21,X35,veabs),X15) )
=> vtcheck(vbind(X9,X10,X20),vabs(X21,X35,veabs),X15) ),
inference(fof_simplification,[status(thm)],['T-Weak-FreeVar-abs-2']) ).
fof(i_0_68,plain,
! [X9,X10,X20,X21,X35,X15] :
( ( X9 != X21
& ~ visFreeVar(X9,vabs(X21,X35,veabs))
& vtcheck(X20,vabs(X21,X35,veabs),X15) )
=> vtcheck(vbind(X9,X10,X20),vabs(X21,X35,veabs),X15) ),
inference(fof_simplification,[status(thm)],['T-Weak-FreeVar-abs-1']) ).
fof(i_0_69,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_61]),c_0_57]) ).
fof(i_0_70,negated_conjecture,
~ ! [X9,X10,X20,X21,X35,X15] :
( ( ~ visFreeVar(X9,vabs(X21,X35,veabs))
& vtcheck(X20,vabs(X21,X35,veabs),X15) )
=> vtcheck(vbind(X9,X10,X20),vabs(X21,X35,veabs),X15) ),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],['T-Weak-FreeVar-abs'])]) ).
fof(i_0_71,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_72,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_73,plain,
! [X9,X10,X20,X11,X15] :
( ( ~ visFreeVar(X9,X11)
& vtcheck(vbind(X9,X10,X20),X11,X15) )
=> vtcheck(X20,X11,X15) ),
inference(fof_simplification,[status(thm)],['T-Strong']) ).
fof(i_0_74,plain,
! [X9,X10,X20,X15] :
( ( ~ visFreeVar(X9,veabs)
& vtcheck(X20,veabs,X15) )
=> vtcheck(vbind(X9,X10,X20),veabs,X15) ),
inference(fof_simplification,[status(thm)],['T-Weak-FreeVar-abs-IH']) ).
fof(i_0_75,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_76,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_61]) ).
fof(i_0_77,plain,
! [X12,X13,X4] :
( X4 = vapp(X12,X13)
=> ~ visValue(X4) ),
inference(fof_simplification,[status(thm)],[isValue2]) ).
fof(i_0_78,plain,
! [X14,X11] :
( vgensym(X11) = X14
=> ~ visFreeVar(X14,X11) ),
inference(fof_simplification,[status(thm)],['gensym-is-fresh']) ).
fof(i_0_79,plain,
! [X9,X4] :
( X4 = vvar(X9)
=> ~ visValue(X4) ),
inference(fof_simplification,[status(thm)],[isValue1]) ).
fof(i_0_80,plain,
! [X25] :
( X25 = vnoExp
=> ~ visSomeExp(X25) ),
inference(fof_simplification,[status(thm)],[isSomeExp0]) ).
fof(i_0_81,plain,
! [X18] :
( X18 = vnoType
=> ~ visSomeType(X18) ),
inference(fof_simplification,[status(thm)],[isSomeType0]) ).
fof(i_0_82,plain,
! [X678,X679,X680,X681] :
( ( X678 = esk53_4(X678,X679,X680,X681)
| X678 = esk49_4(X678,X679,X680,X681)
| X678 = esk45_4(X678,X679,X680,X681)
| epred1_4(X681,X680,X679,X678)
| ~ epred2_4(X681,X680,X679,X678) )
& ( X679 = esk54_4(X678,X679,X680,X681)
| X678 = esk49_4(X678,X679,X680,X681)
| X678 = esk45_4(X678,X679,X680,X681)
| epred1_4(X681,X680,X679,X678)
| ~ epred2_4(X681,X680,X679,X678) )
& ( X680 = vabs(esk56_4(X678,X679,X680,X681),esk55_4(X678,X679,X680,X681),esk58_4(X678,X679,X680,X681))
| X678 = esk49_4(X678,X679,X680,X681)
| X678 = esk45_4(X678,X679,X680,X681)
| epred1_4(X681,X680,X679,X678)
| ~ epred2_4(X681,X680,X679,X678) )
& ( esk53_4(X678,X679,X680,X681) != esk56_4(X678,X679,X680,X681)
| X678 = esk49_4(X678,X679,X680,X681)
| X678 = esk45_4(X678,X679,X680,X681)
| epred1_4(X681,X680,X679,X678)
| ~ epred2_4(X681,X680,X679,X678) )
& ( visFreeVar(esk56_4(X678,X679,X680,X681),esk54_4(X678,X679,X680,X681))
| X678 = esk49_4(X678,X679,X680,X681)
| X678 = esk45_4(X678,X679,X680,X681)
| epred1_4(X681,X680,X679,X678)
| ~ epred2_4(X681,X680,X679,X678) )
& ( esk57_4(X678,X679,X680,X681) = vgensym(vapp(vapp(esk54_4(X678,X679,X680,X681),esk58_4(X678,X679,X680,X681)),vvar(esk53_4(X678,X679,X680,X681))))
| X678 = esk49_4(X678,X679,X680,X681)
| X678 = esk45_4(X678,X679,X680,X681)
| epred1_4(X681,X680,X679,X678)
| ~ epred2_4(X681,X680,X679,X678) )
& ( X681 = vsubst(esk53_4(X678,X679,X680,X681),esk54_4(X678,X679,X680,X681),vabs(esk57_4(X678,X679,X680,X681),esk55_4(X678,X679,X680,X681),vsubst(esk56_4(X678,X679,X680,X681),vvar(esk57_4(X678,X679,X680,X681)),esk58_4(X678,X679,X680,X681))))
| X678 = esk49_4(X678,X679,X680,X681)
| X678 = esk45_4(X678,X679,X680,X681)
| epred1_4(X681,X680,X679,X678)
| ~ epred2_4(X681,X680,X679,X678) )
& ( X678 = esk53_4(X678,X679,X680,X681)
| X679 = esk48_4(X678,X679,X680,X681)
| X678 = esk45_4(X678,X679,X680,X681)
| epred1_4(X681,X680,X679,X678)
| ~ epred2_4(X681,X680,X679,X678) )
& ( X679 = esk54_4(X678,X679,X680,X681)
| X679 = esk48_4(X678,X679,X680,X681)
| X678 = esk45_4(X678,X679,X680,X681)
| epred1_4(X681,X680,X679,X678)
| ~ epred2_4(X681,X680,X679,X678) )
& ( X680 = vabs(esk56_4(X678,X679,X680,X681),esk55_4(X678,X679,X680,X681),esk58_4(X678,X679,X680,X681))
| X679 = esk48_4(X678,X679,X680,X681)
| X678 = esk45_4(X678,X679,X680,X681)
| epred1_4(X681,X680,X679,X678)
| ~ epred2_4(X681,X680,X679,X678) )
& ( esk53_4(X678,X679,X680,X681) != esk56_4(X678,X679,X680,X681)
| X679 = esk48_4(X678,X679,X680,X681)
| X678 = esk45_4(X678,X679,X680,X681)
| epred1_4(X681,X680,X679,X678)
| ~ epred2_4(X681,X680,X679,X678) )
& ( visFreeVar(esk56_4(X678,X679,X680,X681),esk54_4(X678,X679,X680,X681))
| X679 = esk48_4(X678,X679,X680,X681)
| X678 = esk45_4(X678,X679,X680,X681)
| epred1_4(X681,X680,X679,X678)
| ~ epred2_4(X681,X680,X679,X678) )
& ( esk57_4(X678,X679,X680,X681) = vgensym(vapp(vapp(esk54_4(X678,X679,X680,X681),esk58_4(X678,X679,X680,X681)),vvar(esk53_4(X678,X679,X680,X681))))
| X679 = esk48_4(X678,X679,X680,X681)
| X678 = esk45_4(X678,X679,X680,X681)
| epred1_4(X681,X680,X679,X678)
| ~ epred2_4(X681,X680,X679,X678) )
& ( X681 = vsubst(esk53_4(X678,X679,X680,X681),esk54_4(X678,X679,X680,X681),vabs(esk57_4(X678,X679,X680,X681),esk55_4(X678,X679,X680,X681),vsubst(esk56_4(X678,X679,X680,X681),vvar(esk57_4(X678,X679,X680,X681)),esk58_4(X678,X679,X680,X681))))
| X679 = esk48_4(X678,X679,X680,X681)
| X678 = esk45_4(X678,X679,X680,X681)
| epred1_4(X681,X680,X679,X678)
| ~ epred2_4(X681,X680,X679,X678) )
& ( X678 = esk53_4(X678,X679,X680,X681)
| X680 = vabs(esk50_4(X678,X679,X680,X681),esk51_4(X678,X679,X680,X681),esk52_4(X678,X679,X680,X681))
| X678 = esk45_4(X678,X679,X680,X681)
| epred1_4(X681,X680,X679,X678)
| ~ epred2_4(X681,X680,X679,X678) )
& ( X679 = esk54_4(X678,X679,X680,X681)
| X680 = vabs(esk50_4(X678,X679,X680,X681),esk51_4(X678,X679,X680,X681),esk52_4(X678,X679,X680,X681))
| X678 = esk45_4(X678,X679,X680,X681)
| epred1_4(X681,X680,X679,X678)
| ~ epred2_4(X681,X680,X679,X678) )
& ( X680 = vabs(esk56_4(X678,X679,X680,X681),esk55_4(X678,X679,X680,X681),esk58_4(X678,X679,X680,X681))
| X680 = vabs(esk50_4(X678,X679,X680,X681),esk51_4(X678,X679,X680,X681),esk52_4(X678,X679,X680,X681))
| X678 = esk45_4(X678,X679,X680,X681)
| epred1_4(X681,X680,X679,X678)
| ~ epred2_4(X681,X680,X679,X678) )
& ( esk53_4(X678,X679,X680,X681) != esk56_4(X678,X679,X680,X681)
| X680 = vabs(esk50_4(X678,X679,X680,X681),esk51_4(X678,X679,X680,X681),esk52_4(X678,X679,X680,X681))
| X678 = esk45_4(X678,X679,X680,X681)
| epred1_4(X681,X680,X679,X678)
| ~ epred2_4(X681,X680,X679,X678) )
& ( visFreeVar(esk56_4(X678,X679,X680,X681),esk54_4(X678,X679,X680,X681))
| X680 = vabs(esk50_4(X678,X679,X680,X681),esk51_4(X678,X679,X680,X681),esk52_4(X678,X679,X680,X681))
| X678 = esk45_4(X678,X679,X680,X681)
| epred1_4(X681,X680,X679,X678)
| ~ epred2_4(X681,X680,X679,X678) )
& ( esk57_4(X678,X679,X680,X681) = vgensym(vapp(vapp(esk54_4(X678,X679,X680,X681),esk58_4(X678,X679,X680,X681)),vvar(esk53_4(X678,X679,X680,X681))))
| X680 = vabs(esk50_4(X678,X679,X680,X681),esk51_4(X678,X679,X680,X681),esk52_4(X678,X679,X680,X681))
| X678 = esk45_4(X678,X679,X680,X681)
| epred1_4(X681,X680,X679,X678)
| ~ epred2_4(X681,X680,X679,X678) )
& ( X681 = vsubst(esk53_4(X678,X679,X680,X681),esk54_4(X678,X679,X680,X681),vabs(esk57_4(X678,X679,X680,X681),esk55_4(X678,X679,X680,X681),vsubst(esk56_4(X678,X679,X680,X681),vvar(esk57_4(X678,X679,X680,X681)),esk58_4(X678,X679,X680,X681))))
| X680 = vabs(esk50_4(X678,X679,X680,X681),esk51_4(X678,X679,X680,X681),esk52_4(X678,X679,X680,X681))
| X678 = esk45_4(X678,X679,X680,X681)
| epred1_4(X681,X680,X679,X678)
| ~ epred2_4(X681,X680,X679,X678) )
& ( X678 = esk53_4(X678,X679,X680,X681)
| esk49_4(X678,X679,X680,X681) = esk50_4(X678,X679,X680,X681)
| X678 = esk45_4(X678,X679,X680,X681)
| epred1_4(X681,X680,X679,X678)
| ~ epred2_4(X681,X680,X679,X678) )
& ( X679 = esk54_4(X678,X679,X680,X681)
| esk49_4(X678,X679,X680,X681) = esk50_4(X678,X679,X680,X681)
| X678 = esk45_4(X678,X679,X680,X681)
| epred1_4(X681,X680,X679,X678)
| ~ epred2_4(X681,X680,X679,X678) )
& ( X680 = vabs(esk56_4(X678,X679,X680,X681),esk55_4(X678,X679,X680,X681),esk58_4(X678,X679,X680,X681))
| esk49_4(X678,X679,X680,X681) = esk50_4(X678,X679,X680,X681)
| X678 = esk45_4(X678,X679,X680,X681)
| epred1_4(X681,X680,X679,X678)
| ~ epred2_4(X681,X680,X679,X678) )
& ( esk53_4(X678,X679,X680,X681) != esk56_4(X678,X679,X680,X681)
| esk49_4(X678,X679,X680,X681) = esk50_4(X678,X679,X680,X681)
| X678 = esk45_4(X678,X679,X680,X681)
| epred1_4(X681,X680,X679,X678)
| ~ epred2_4(X681,X680,X679,X678) )
& ( visFreeVar(esk56_4(X678,X679,X680,X681),esk54_4(X678,X679,X680,X681))
| esk49_4(X678,X679,X680,X681) = esk50_4(X678,X679,X680,X681)
| X678 = esk45_4(X678,X679,X680,X681)
| epred1_4(X681,X680,X679,X678)
| ~ epred2_4(X681,X680,X679,X678) )
& ( esk57_4(X678,X679,X680,X681) = vgensym(vapp(vapp(esk54_4(X678,X679,X680,X681),esk58_4(X678,X679,X680,X681)),vvar(esk53_4(X678,X679,X680,X681))))
| esk49_4(X678,X679,X680,X681) = esk50_4(X678,X679,X680,X681)
| X678 = esk45_4(X678,X679,X680,X681)
| epred1_4(X681,X680,X679,X678)
| ~ epred2_4(X681,X680,X679,X678) )
& ( X681 = vsubst(esk53_4(X678,X679,X680,X681),esk54_4(X678,X679,X680,X681),vabs(esk57_4(X678,X679,X680,X681),esk55_4(X678,X679,X680,X681),vsubst(esk56_4(X678,X679,X680,X681),vvar(esk57_4(X678,X679,X680,X681)),esk58_4(X678,X679,X680,X681))))
| esk49_4(X678,X679,X680,X681) = esk50_4(X678,X679,X680,X681)
| X678 = esk45_4(X678,X679,X680,X681)
| epred1_4(X681,X680,X679,X678)
| ~ epred2_4(X681,X680,X679,X678) )
& ( X678 = esk53_4(X678,X679,X680,X681)
| X681 = vabs(esk50_4(X678,X679,X680,X681),esk51_4(X678,X679,X680,X681),esk52_4(X678,X679,X680,X681))
| X678 = esk45_4(X678,X679,X680,X681)
| epred1_4(X681,X680,X679,X678)
| ~ epred2_4(X681,X680,X679,X678) )
& ( X679 = esk54_4(X678,X679,X680,X681)
| X681 = vabs(esk50_4(X678,X679,X680,X681),esk51_4(X678,X679,X680,X681),esk52_4(X678,X679,X680,X681))
| X678 = esk45_4(X678,X679,X680,X681)
| epred1_4(X681,X680,X679,X678)
| ~ epred2_4(X681,X680,X679,X678) )
& ( X680 = vabs(esk56_4(X678,X679,X680,X681),esk55_4(X678,X679,X680,X681),esk58_4(X678,X679,X680,X681))
| X681 = vabs(esk50_4(X678,X679,X680,X681),esk51_4(X678,X679,X680,X681),esk52_4(X678,X679,X680,X681))
| X678 = esk45_4(X678,X679,X680,X681)
| epred1_4(X681,X680,X679,X678)
| ~ epred2_4(X681,X680,X679,X678) )
& ( esk53_4(X678,X679,X680,X681) != esk56_4(X678,X679,X680,X681)
| X681 = vabs(esk50_4(X678,X679,X680,X681),esk51_4(X678,X679,X680,X681),esk52_4(X678,X679,X680,X681))
| X678 = esk45_4(X678,X679,X680,X681)
| epred1_4(X681,X680,X679,X678)
| ~ epred2_4(X681,X680,X679,X678) )
& ( visFreeVar(esk56_4(X678,X679,X680,X681),esk54_4(X678,X679,X680,X681))
| X681 = vabs(esk50_4(X678,X679,X680,X681),esk51_4(X678,X679,X680,X681),esk52_4(X678,X679,X680,X681))
| X678 = esk45_4(X678,X679,X680,X681)
| epred1_4(X681,X680,X679,X678)
| ~ epred2_4(X681,X680,X679,X678) )
& ( esk57_4(X678,X679,X680,X681) = vgensym(vapp(vapp(esk54_4(X678,X679,X680,X681),esk58_4(X678,X679,X680,X681)),vvar(esk53_4(X678,X679,X680,X681))))
| X681 = vabs(esk50_4(X678,X679,X680,X681),esk51_4(X678,X679,X680,X681),esk52_4(X678,X679,X680,X681))
| X678 = esk45_4(X678,X679,X680,X681)
| epred1_4(X681,X680,X679,X678)
| ~ epred2_4(X681,X680,X679,X678) )
& ( X681 = vsubst(esk53_4(X678,X679,X680,X681),esk54_4(X678,X679,X680,X681),vabs(esk57_4(X678,X679,X680,X681),esk55_4(X678,X679,X680,X681),vsubst(esk56_4(X678,X679,X680,X681),vvar(esk57_4(X678,X679,X680,X681)),esk58_4(X678,X679,X680,X681))))
| X681 = vabs(esk50_4(X678,X679,X680,X681),esk51_4(X678,X679,X680,X681),esk52_4(X678,X679,X680,X681))
| X678 = esk45_4(X678,X679,X680,X681)
| epred1_4(X681,X680,X679,X678)
| ~ epred2_4(X681,X680,X679,X678) )
& ( X678 = esk53_4(X678,X679,X680,X681)
| X678 = esk49_4(X678,X679,X680,X681)
| X679 = esk46_4(X678,X679,X680,X681)
| epred1_4(X681,X680,X679,X678)
| ~ epred2_4(X681,X680,X679,X678) )
& ( X679 = esk54_4(X678,X679,X680,X681)
| X678 = esk49_4(X678,X679,X680,X681)
| X679 = esk46_4(X678,X679,X680,X681)
| epred1_4(X681,X680,X679,X678)
| ~ epred2_4(X681,X680,X679,X678) )
& ( X680 = vabs(esk56_4(X678,X679,X680,X681),esk55_4(X678,X679,X680,X681),esk58_4(X678,X679,X680,X681))
| X678 = esk49_4(X678,X679,X680,X681)
| X679 = esk46_4(X678,X679,X680,X681)
| epred1_4(X681,X680,X679,X678)
| ~ epred2_4(X681,X680,X679,X678) )
& ( esk53_4(X678,X679,X680,X681) != esk56_4(X678,X679,X680,X681)
| X678 = esk49_4(X678,X679,X680,X681)
| X679 = esk46_4(X678,X679,X680,X681)
| epred1_4(X681,X680,X679,X678)
| ~ epred2_4(X681,X680,X679,X678) )
& ( visFreeVar(esk56_4(X678,X679,X680,X681),esk54_4(X678,X679,X680,X681))
| X678 = esk49_4(X678,X679,X680,X681)
| X679 = esk46_4(X678,X679,X680,X681)
| epred1_4(X681,X680,X679,X678)
| ~ epred2_4(X681,X680,X679,X678) )
& ( esk57_4(X678,X679,X680,X681) = vgensym(vapp(vapp(esk54_4(X678,X679,X680,X681),esk58_4(X678,X679,X680,X681)),vvar(esk53_4(X678,X679,X680,X681))))
| X678 = esk49_4(X678,X679,X680,X681)
| X679 = esk46_4(X678,X679,X680,X681)
| epred1_4(X681,X680,X679,X678)
| ~ epred2_4(X681,X680,X679,X678) )
& ( X681 = vsubst(esk53_4(X678,X679,X680,X681),esk54_4(X678,X679,X680,X681),vabs(esk57_4(X678,X679,X680,X681),esk55_4(X678,X679,X680,X681),vsubst(esk56_4(X678,X679,X680,X681),vvar(esk57_4(X678,X679,X680,X681)),esk58_4(X678,X679,X680,X681))))
| X678 = esk49_4(X678,X679,X680,X681)
| X679 = esk46_4(X678,X679,X680,X681)
| epred1_4(X681,X680,X679,X678)
| ~ epred2_4(X681,X680,X679,X678) )
& ( X678 = esk53_4(X678,X679,X680,X681)
| X679 = esk48_4(X678,X679,X680,X681)
| X679 = esk46_4(X678,X679,X680,X681)
| epred1_4(X681,X680,X679,X678)
| ~ epred2_4(X681,X680,X679,X678) )
& ( X679 = esk54_4(X678,X679,X680,X681)
| X679 = esk48_4(X678,X679,X680,X681)
| X679 = esk46_4(X678,X679,X680,X681)
| epred1_4(X681,X680,X679,X678)
| ~ epred2_4(X681,X680,X679,X678) )
& ( X680 = vabs(esk56_4(X678,X679,X680,X681),esk55_4(X678,X679,X680,X681),esk58_4(X678,X679,X680,X681))
| X679 = esk48_4(X678,X679,X680,X681)
| X679 = esk46_4(X678,X679,X680,X681)
| epred1_4(X681,X680,X679,X678)
| ~ epred2_4(X681,X680,X679,X678) )
& ( esk53_4(X678,X679,X680,X681) != esk56_4(X678,X679,X680,X681)
| X679 = esk48_4(X678,X679,X680,X681)
| X679 = esk46_4(X678,X679,X680,X681)
| epred1_4(X681,X680,X679,X678)
| ~ epred2_4(X681,X680,X679,X678) )
& ( visFreeVar(esk56_4(X678,X679,X680,X681),esk54_4(X678,X679,X680,X681))
| X679 = esk48_4(X678,X679,X680,X681)
| X679 = esk46_4(X678,X679,X680,X681)
| epred1_4(X681,X680,X679,X678)
| ~ epred2_4(X681,X680,X679,X678) )
& ( esk57_4(X678,X679,X680,X681) = vgensym(vapp(vapp(esk54_4(X678,X679,X680,X681),esk58_4(X678,X679,X680,X681)),vvar(esk53_4(X678,X679,X680,X681))))
| X679 = esk48_4(X678,X679,X680,X681)
| X679 = esk46_4(X678,X679,X680,X681)
| epred1_4(X681,X680,X679,X678)
| ~ epred2_4(X681,X680,X679,X678) )
& ( X681 = vsubst(esk53_4(X678,X679,X680,X681),esk54_4(X678,X679,X680,X681),vabs(esk57_4(X678,X679,X680,X681),esk55_4(X678,X679,X680,X681),vsubst(esk56_4(X678,X679,X680,X681),vvar(esk57_4(X678,X679,X680,X681)),esk58_4(X678,X679,X680,X681))))
| X679 = esk48_4(X678,X679,X680,X681)
| X679 = esk46_4(X678,X679,X680,X681)
| epred1_4(X681,X680,X679,X678)
| ~ epred2_4(X681,X680,X679,X678) )
& ( X678 = esk53_4(X678,X679,X680,X681)
| X680 = vabs(esk50_4(X678,X679,X680,X681),esk51_4(X678,X679,X680,X681),esk52_4(X678,X679,X680,X681))
| X679 = esk46_4(X678,X679,X680,X681)
| epred1_4(X681,X680,X679,X678)
| ~ epred2_4(X681,X680,X679,X678) )
& ( X679 = esk54_4(X678,X679,X680,X681)
| X680 = vabs(esk50_4(X678,X679,X680,X681),esk51_4(X678,X679,X680,X681),esk52_4(X678,X679,X680,X681))
| X679 = esk46_4(X678,X679,X680,X681)
| epred1_4(X681,X680,X679,X678)
| ~ epred2_4(X681,X680,X679,X678) )
& ( X680 = vabs(esk56_4(X678,X679,X680,X681),esk55_4(X678,X679,X680,X681),esk58_4(X678,X679,X680,X681))
| X680 = vabs(esk50_4(X678,X679,X680,X681),esk51_4(X678,X679,X680,X681),esk52_4(X678,X679,X680,X681))
| X679 = esk46_4(X678,X679,X680,X681)
| epred1_4(X681,X680,X679,X678)
| ~ epred2_4(X681,X680,X679,X678) )
& ( esk53_4(X678,X679,X680,X681) != esk56_4(X678,X679,X680,X681)
| X680 = vabs(esk50_4(X678,X679,X680,X681),esk51_4(X678,X679,X680,X681),esk52_4(X678,X679,X680,X681))
| X679 = esk46_4(X678,X679,X680,X681)
| epred1_4(X681,X680,X679,X678)
| ~ epred2_4(X681,X680,X679,X678) )
& ( visFreeVar(esk56_4(X678,X679,X680,X681),esk54_4(X678,X679,X680,X681))
| X680 = vabs(esk50_4(X678,X679,X680,X681),esk51_4(X678,X679,X680,X681),esk52_4(X678,X679,X680,X681))
| X679 = esk46_4(X678,X679,X680,X681)
| epred1_4(X681,X680,X679,X678)
| ~ epred2_4(X681,X680,X679,X678) )
& ( esk57_4(X678,X679,X680,X681) = vgensym(vapp(vapp(esk54_4(X678,X679,X680,X681),esk58_4(X678,X679,X680,X681)),vvar(esk53_4(X678,X679,X680,X681))))
| X680 = vabs(esk50_4(X678,X679,X680,X681),esk51_4(X678,X679,X680,X681),esk52_4(X678,X679,X680,X681))
| X679 = esk46_4(X678,X679,X680,X681)
| epred1_4(X681,X680,X679,X678)
| ~ epred2_4(X681,X680,X679,X678) )
& ( X681 = vsubst(esk53_4(X678,X679,X680,X681),esk54_4(X678,X679,X680,X681),vabs(esk57_4(X678,X679,X680,X681),esk55_4(X678,X679,X680,X681),vsubst(esk56_4(X678,X679,X680,X681),vvar(esk57_4(X678,X679,X680,X681)),esk58_4(X678,X679,X680,X681))))
| X680 = vabs(esk50_4(X678,X679,X680,X681),esk51_4(X678,X679,X680,X681),esk52_4(X678,X679,X680,X681))
| X679 = esk46_4(X678,X679,X680,X681)
| epred1_4(X681,X680,X679,X678)
| ~ epred2_4(X681,X680,X679,X678) )
& ( X678 = esk53_4(X678,X679,X680,X681)
| esk49_4(X678,X679,X680,X681) = esk50_4(X678,X679,X680,X681)
| X679 = esk46_4(X678,X679,X680,X681)
| epred1_4(X681,X680,X679,X678)
| ~ epred2_4(X681,X680,X679,X678) )
& ( X679 = esk54_4(X678,X679,X680,X681)
| esk49_4(X678,X679,X680,X681) = esk50_4(X678,X679,X680,X681)
| X679 = esk46_4(X678,X679,X680,X681)
| epred1_4(X681,X680,X679,X678)
| ~ epred2_4(X681,X680,X679,X678) )
& ( X680 = vabs(esk56_4(X678,X679,X680,X681),esk55_4(X678,X679,X680,X681),esk58_4(X678,X679,X680,X681))
| esk49_4(X678,X679,X680,X681) = esk50_4(X678,X679,X680,X681)
| X679 = esk46_4(X678,X679,X680,X681)
| epred1_4(X681,X680,X679,X678)
| ~ epred2_4(X681,X680,X679,X678) )
& ( esk53_4(X678,X679,X680,X681) != esk56_4(X678,X679,X680,X681)
| esk49_4(X678,X679,X680,X681) = esk50_4(X678,X679,X680,X681)
| X679 = esk46_4(X678,X679,X680,X681)
| epred1_4(X681,X680,X679,X678)
| ~ epred2_4(X681,X680,X679,X678) )
& ( visFreeVar(esk56_4(X678,X679,X680,X681),esk54_4(X678,X679,X680,X681))
| esk49_4(X678,X679,X680,X681) = esk50_4(X678,X679,X680,X681)
| X679 = esk46_4(X678,X679,X680,X681)
| epred1_4(X681,X680,X679,X678)
| ~ epred2_4(X681,X680,X679,X678) )
& ( esk57_4(X678,X679,X680,X681) = vgensym(vapp(vapp(esk54_4(X678,X679,X680,X681),esk58_4(X678,X679,X680,X681)),vvar(esk53_4(X678,X679,X680,X681))))
| esk49_4(X678,X679,X680,X681) = esk50_4(X678,X679,X680,X681)
| X679 = esk46_4(X678,X679,X680,X681)
| epred1_4(X681,X680,X679,X678)
| ~ epred2_4(X681,X680,X679,X678) )
& ( X681 = vsubst(esk53_4(X678,X679,X680,X681),esk54_4(X678,X679,X680,X681),vabs(esk57_4(X678,X679,X680,X681),esk55_4(X678,X679,X680,X681),vsubst(esk56_4(X678,X679,X680,X681),vvar(esk57_4(X678,X679,X680,X681)),esk58_4(X678,X679,X680,X681))))
| esk49_4(X678,X679,X680,X681) = esk50_4(X678,X679,X680,X681)
| X679 = esk46_4(X678,X679,X680,X681)
| epred1_4(X681,X680,X679,X678)
| ~ epred2_4(X681,X680,X679,X678) )
& ( X678 = esk53_4(X678,X679,X680,X681)
| X681 = vabs(esk50_4(X678,X679,X680,X681),esk51_4(X678,X679,X680,X681),esk52_4(X678,X679,X680,X681))
| X679 = esk46_4(X678,X679,X680,X681)
| epred1_4(X681,X680,X679,X678)
| ~ epred2_4(X681,X680,X679,X678) )
& ( X679 = esk54_4(X678,X679,X680,X681)
| X681 = vabs(esk50_4(X678,X679,X680,X681),esk51_4(X678,X679,X680,X681),esk52_4(X678,X679,X680,X681))
| X679 = esk46_4(X678,X679,X680,X681)
| epred1_4(X681,X680,X679,X678)
| ~ epred2_4(X681,X680,X679,X678) )
& ( X680 = vabs(esk56_4(X678,X679,X680,X681),esk55_4(X678,X679,X680,X681),esk58_4(X678,X679,X680,X681))
| X681 = vabs(esk50_4(X678,X679,X680,X681),esk51_4(X678,X679,X680,X681),esk52_4(X678,X679,X680,X681))
| X679 = esk46_4(X678,X679,X680,X681)
| epred1_4(X681,X680,X679,X678)
| ~ epred2_4(X681,X680,X679,X678) )
& ( esk53_4(X678,X679,X680,X681) != esk56_4(X678,X679,X680,X681)
| X681 = vabs(esk50_4(X678,X679,X680,X681),esk51_4(X678,X679,X680,X681),esk52_4(X678,X679,X680,X681))
| X679 = esk46_4(X678,X679,X680,X681)
| epred1_4(X681,X680,X679,X678)
| ~ epred2_4(X681,X680,X679,X678) )
& ( visFreeVar(esk56_4(X678,X679,X680,X681),esk54_4(X678,X679,X680,X681))
| X681 = vabs(esk50_4(X678,X679,X680,X681),esk51_4(X678,X679,X680,X681),esk52_4(X678,X679,X680,X681))
| X679 = esk46_4(X678,X679,X680,X681)
| epred1_4(X681,X680,X679,X678)
| ~ epred2_4(X681,X680,X679,X678) )
& ( esk57_4(X678,X679,X680,X681) = vgensym(vapp(vapp(esk54_4(X678,X679,X680,X681),esk58_4(X678,X679,X680,X681)),vvar(esk53_4(X678,X679,X680,X681))))
| X681 = vabs(esk50_4(X678,X679,X680,X681),esk51_4(X678,X679,X680,X681),esk52_4(X678,X679,X680,X681))
| X679 = esk46_4(X678,X679,X680,X681)
| epred1_4(X681,X680,X679,X678)
| ~ epred2_4(X681,X680,X679,X678) )
& ( X681 = vsubst(esk53_4(X678,X679,X680,X681),esk54_4(X678,X679,X680,X681),vabs(esk57_4(X678,X679,X680,X681),esk55_4(X678,X679,X680,X681),vsubst(esk56_4(X678,X679,X680,X681),vvar(esk57_4(X678,X679,X680,X681)),esk58_4(X678,X679,X680,X681))))
| X681 = vabs(esk50_4(X678,X679,X680,X681),esk51_4(X678,X679,X680,X681),esk52_4(X678,X679,X680,X681))
| X679 = esk46_4(X678,X679,X680,X681)
| epred1_4(X681,X680,X679,X678)
| ~ epred2_4(X681,X680,X679,X678) )
& ( X678 = esk53_4(X678,X679,X680,X681)
| X678 = esk49_4(X678,X679,X680,X681)
| X680 = vapp(esk44_4(X678,X679,X680,X681),esk47_4(X678,X679,X680,X681))
| epred1_4(X681,X680,X679,X678)
| ~ epred2_4(X681,X680,X679,X678) )
& ( X679 = esk54_4(X678,X679,X680,X681)
| X678 = esk49_4(X678,X679,X680,X681)
| X680 = vapp(esk44_4(X678,X679,X680,X681),esk47_4(X678,X679,X680,X681))
| epred1_4(X681,X680,X679,X678)
| ~ epred2_4(X681,X680,X679,X678) )
& ( X680 = vabs(esk56_4(X678,X679,X680,X681),esk55_4(X678,X679,X680,X681),esk58_4(X678,X679,X680,X681))
| X678 = esk49_4(X678,X679,X680,X681)
| X680 = vapp(esk44_4(X678,X679,X680,X681),esk47_4(X678,X679,X680,X681))
| epred1_4(X681,X680,X679,X678)
| ~ epred2_4(X681,X680,X679,X678) )
& ( esk53_4(X678,X679,X680,X681) != esk56_4(X678,X679,X680,X681)
| X678 = esk49_4(X678,X679,X680,X681)
| X680 = vapp(esk44_4(X678,X679,X680,X681),esk47_4(X678,X679,X680,X681))
| epred1_4(X681,X680,X679,X678)
| ~ epred2_4(X681,X680,X679,X678) )
& ( visFreeVar(esk56_4(X678,X679,X680,X681),esk54_4(X678,X679,X680,X681))
| X678 = esk49_4(X678,X679,X680,X681)
| X680 = vapp(esk44_4(X678,X679,X680,X681),esk47_4(X678,X679,X680,X681))
| epred1_4(X681,X680,X679,X678)
| ~ epred2_4(X681,X680,X679,X678) )
& ( esk57_4(X678,X679,X680,X681) = vgensym(vapp(vapp(esk54_4(X678,X679,X680,X681),esk58_4(X678,X679,X680,X681)),vvar(esk53_4(X678,X679,X680,X681))))
| X678 = esk49_4(X678,X679,X680,X681)
| X680 = vapp(esk44_4(X678,X679,X680,X681),esk47_4(X678,X679,X680,X681))
| epred1_4(X681,X680,X679,X678)
| ~ epred2_4(X681,X680,X679,X678) )
& ( X681 = vsubst(esk53_4(X678,X679,X680,X681),esk54_4(X678,X679,X680,X681),vabs(esk57_4(X678,X679,X680,X681),esk55_4(X678,X679,X680,X681),vsubst(esk56_4(X678,X679,X680,X681),vvar(esk57_4(X678,X679,X680,X681)),esk58_4(X678,X679,X680,X681))))
| X678 = esk49_4(X678,X679,X680,X681)
| X680 = vapp(esk44_4(X678,X679,X680,X681),esk47_4(X678,X679,X680,X681))
| epred1_4(X681,X680,X679,X678)
| ~ epred2_4(X681,X680,X679,X678) )
& ( X678 = esk53_4(X678,X679,X680,X681)
| X679 = esk48_4(X678,X679,X680,X681)
| X680 = vapp(esk44_4(X678,X679,X680,X681),esk47_4(X678,X679,X680,X681))
| epred1_4(X681,X680,X679,X678)
| ~ epred2_4(X681,X680,X679,X678) )
& ( X679 = esk54_4(X678,X679,X680,X681)
| X679 = esk48_4(X678,X679,X680,X681)
| X680 = vapp(esk44_4(X678,X679,X680,X681),esk47_4(X678,X679,X680,X681))
| epred1_4(X681,X680,X679,X678)
| ~ epred2_4(X681,X680,X679,X678) )
& ( X680 = vabs(esk56_4(X678,X679,X680,X681),esk55_4(X678,X679,X680,X681),esk58_4(X678,X679,X680,X681))
| X679 = esk48_4(X678,X679,X680,X681)
| X680 = vapp(esk44_4(X678,X679,X680,X681),esk47_4(X678,X679,X680,X681))
| epred1_4(X681,X680,X679,X678)
| ~ epred2_4(X681,X680,X679,X678) )
& ( esk53_4(X678,X679,X680,X681) != esk56_4(X678,X679,X680,X681)
| X679 = esk48_4(X678,X679,X680,X681)
| X680 = vapp(esk44_4(X678,X679,X680,X681),esk47_4(X678,X679,X680,X681))
| epred1_4(X681,X680,X679,X678)
| ~ epred2_4(X681,X680,X679,X678) )
& ( visFreeVar(esk56_4(X678,X679,X680,X681),esk54_4(X678,X679,X680,X681))
| X679 = esk48_4(X678,X679,X680,X681)
| X680 = vapp(esk44_4(X678,X679,X680,X681),esk47_4(X678,X679,X680,X681))
| epred1_4(X681,X680,X679,X678)
| ~ epred2_4(X681,X680,X679,X678) )
& ( esk57_4(X678,X679,X680,X681) = vgensym(vapp(vapp(esk54_4(X678,X679,X680,X681),esk58_4(X678,X679,X680,X681)),vvar(esk53_4(X678,X679,X680,X681))))
| X679 = esk48_4(X678,X679,X680,X681)
| X680 = vapp(esk44_4(X678,X679,X680,X681),esk47_4(X678,X679,X680,X681))
| epred1_4(X681,X680,X679,X678)
| ~ epred2_4(X681,X680,X679,X678) )
& ( X681 = vsubst(esk53_4(X678,X679,X680,X681),esk54_4(X678,X679,X680,X681),vabs(esk57_4(X678,X679,X680,X681),esk55_4(X678,X679,X680,X681),vsubst(esk56_4(X678,X679,X680,X681),vvar(esk57_4(X678,X679,X680,X681)),esk58_4(X678,X679,X680,X681))))
| X679 = esk48_4(X678,X679,X680,X681)
| X680 = vapp(esk44_4(X678,X679,X680,X681),esk47_4(X678,X679,X680,X681))
| epred1_4(X681,X680,X679,X678)
| ~ epred2_4(X681,X680,X679,X678) )
& ( X678 = esk53_4(X678,X679,X680,X681)
| X680 = vabs(esk50_4(X678,X679,X680,X681),esk51_4(X678,X679,X680,X681),esk52_4(X678,X679,X680,X681))
| X680 = vapp(esk44_4(X678,X679,X680,X681),esk47_4(X678,X679,X680,X681))
| epred1_4(X681,X680,X679,X678)
| ~ epred2_4(X681,X680,X679,X678) )
& ( X679 = esk54_4(X678,X679,X680,X681)
| X680 = vabs(esk50_4(X678,X679,X680,X681),esk51_4(X678,X679,X680,X681),esk52_4(X678,X679,X680,X681))
| X680 = vapp(esk44_4(X678,X679,X680,X681),esk47_4(X678,X679,X680,X681))
| epred1_4(X681,X680,X679,X678)
| ~ epred2_4(X681,X680,X679,X678) )
& ( X680 = vabs(esk56_4(X678,X679,X680,X681),esk55_4(X678,X679,X680,X681),esk58_4(X678,X679,X680,X681))
| X680 = vabs(esk50_4(X678,X679,X680,X681),esk51_4(X678,X679,X680,X681),esk52_4(X678,X679,X680,X681))
| X680 = vapp(esk44_4(X678,X679,X680,X681),esk47_4(X678,X679,X680,X681))
| epred1_4(X681,X680,X679,X678)
| ~ epred2_4(X681,X680,X679,X678) )
& ( esk53_4(X678,X679,X680,X681) != esk56_4(X678,X679,X680,X681)
| X680 = vabs(esk50_4(X678,X679,X680,X681),esk51_4(X678,X679,X680,X681),esk52_4(X678,X679,X680,X681))
| X680 = vapp(esk44_4(X678,X679,X680,X681),esk47_4(X678,X679,X680,X681))
| epred1_4(X681,X680,X679,X678)
| ~ epred2_4(X681,X680,X679,X678) )
& ( visFreeVar(esk56_4(X678,X679,X680,X681),esk54_4(X678,X679,X680,X681))
| X680 = vabs(esk50_4(X678,X679,X680,X681),esk51_4(X678,X679,X680,X681),esk52_4(X678,X679,X680,X681))
| X680 = vapp(esk44_4(X678,X679,X680,X681),esk47_4(X678,X679,X680,X681))
| epred1_4(X681,X680,X679,X678)
| ~ epred2_4(X681,X680,X679,X678) )
& ( esk57_4(X678,X679,X680,X681) = vgensym(vapp(vapp(esk54_4(X678,X679,X680,X681),esk58_4(X678,X679,X680,X681)),vvar(esk53_4(X678,X679,X680,X681))))
| X680 = vabs(esk50_4(X678,X679,X680,X681),esk51_4(X678,X679,X680,X681),esk52_4(X678,X679,X680,X681))
| X680 = vapp(esk44_4(X678,X679,X680,X681),esk47_4(X678,X679,X680,X681))
| epred1_4(X681,X680,X679,X678)
| ~ epred2_4(X681,X680,X679,X678) )
& ( X681 = vsubst(esk53_4(X678,X679,X680,X681),esk54_4(X678,X679,X680,X681),vabs(esk57_4(X678,X679,X680,X681),esk55_4(X678,X679,X680,X681),vsubst(esk56_4(X678,X679,X680,X681),vvar(esk57_4(X678,X679,X680,X681)),esk58_4(X678,X679,X680,X681))))
| X680 = vabs(esk50_4(X678,X679,X680,X681),esk51_4(X678,X679,X680,X681),esk52_4(X678,X679,X680,X681))
| X680 = vapp(esk44_4(X678,X679,X680,X681),esk47_4(X678,X679,X680,X681))
| epred1_4(X681,X680,X679,X678)
| ~ epred2_4(X681,X680,X679,X678) )
& ( X678 = esk53_4(X678,X679,X680,X681)
| esk49_4(X678,X679,X680,X681) = esk50_4(X678,X679,X680,X681)
| X680 = vapp(esk44_4(X678,X679,X680,X681),esk47_4(X678,X679,X680,X681))
| epred1_4(X681,X680,X679,X678)
| ~ epred2_4(X681,X680,X679,X678) )
& ( X679 = esk54_4(X678,X679,X680,X681)
| esk49_4(X678,X679,X680,X681) = esk50_4(X678,X679,X680,X681)
| X680 = vapp(esk44_4(X678,X679,X680,X681),esk47_4(X678,X679,X680,X681))
| epred1_4(X681,X680,X679,X678)
| ~ epred2_4(X681,X680,X679,X678) )
& ( X680 = vabs(esk56_4(X678,X679,X680,X681),esk55_4(X678,X679,X680,X681),esk58_4(X678,X679,X680,X681))
| esk49_4(X678,X679,X680,X681) = esk50_4(X678,X679,X680,X681)
| X680 = vapp(esk44_4(X678,X679,X680,X681),esk47_4(X678,X679,X680,X681))
| epred1_4(X681,X680,X679,X678)
| ~ epred2_4(X681,X680,X679,X678) )
& ( esk53_4(X678,X679,X680,X681) != esk56_4(X678,X679,X680,X681)
| esk49_4(X678,X679,X680,X681) = esk50_4(X678,X679,X680,X681)
| X680 = vapp(esk44_4(X678,X679,X680,X681),esk47_4(X678,X679,X680,X681))
| epred1_4(X681,X680,X679,X678)
| ~ epred2_4(X681,X680,X679,X678) )
& ( visFreeVar(esk56_4(X678,X679,X680,X681),esk54_4(X678,X679,X680,X681))
| esk49_4(X678,X679,X680,X681) = esk50_4(X678,X679,X680,X681)
| X680 = vapp(esk44_4(X678,X679,X680,X681),esk47_4(X678,X679,X680,X681))
| epred1_4(X681,X680,X679,X678)
| ~ epred2_4(X681,X680,X679,X678) )
& ( esk57_4(X678,X679,X680,X681) = vgensym(vapp(vapp(esk54_4(X678,X679,X680,X681),esk58_4(X678,X679,X680,X681)),vvar(esk53_4(X678,X679,X680,X681))))
| esk49_4(X678,X679,X680,X681) = esk50_4(X678,X679,X680,X681)
| X680 = vapp(esk44_4(X678,X679,X680,X681),esk47_4(X678,X679,X680,X681))
| epred1_4(X681,X680,X679,X678)
| ~ epred2_4(X681,X680,X679,X678) )
& ( X681 = vsubst(esk53_4(X678,X679,X680,X681),esk54_4(X678,X679,X680,X681),vabs(esk57_4(X678,X679,X680,X681),esk55_4(X678,X679,X680,X681),vsubst(esk56_4(X678,X679,X680,X681),vvar(esk57_4(X678,X679,X680,X681)),esk58_4(X678,X679,X680,X681))))
| esk49_4(X678,X679,X680,X681) = esk50_4(X678,X679,X680,X681)
| X680 = vapp(esk44_4(X678,X679,X680,X681),esk47_4(X678,X679,X680,X681))
| epred1_4(X681,X680,X679,X678)
| ~ epred2_4(X681,X680,X679,X678) )
& ( X678 = esk53_4(X678,X679,X680,X681)
| X681 = vabs(esk50_4(X678,X679,X680,X681),esk51_4(X678,X679,X680,X681),esk52_4(X678,X679,X680,X681))
| X680 = vapp(esk44_4(X678,X679,X680,X681),esk47_4(X678,X679,X680,X681))
| epred1_4(X681,X680,X679,X678)
| ~ epred2_4(X681,X680,X679,X678) )
& ( X679 = esk54_4(X678,X679,X680,X681)
| X681 = vabs(esk50_4(X678,X679,X680,X681),esk51_4(X678,X679,X680,X681),esk52_4(X678,X679,X680,X681))
| X680 = vapp(esk44_4(X678,X679,X680,X681),esk47_4(X678,X679,X680,X681))
| epred1_4(X681,X680,X679,X678)
| ~ epred2_4(X681,X680,X679,X678) )
& ( X680 = vabs(esk56_4(X678,X679,X680,X681),esk55_4(X678,X679,X680,X681),esk58_4(X678,X679,X680,X681))
| X681 = vabs(esk50_4(X678,X679,X680,X681),esk51_4(X678,X679,X680,X681),esk52_4(X678,X679,X680,X681))
| X680 = vapp(esk44_4(X678,X679,X680,X681),esk47_4(X678,X679,X680,X681))
| epred1_4(X681,X680,X679,X678)
| ~ epred2_4(X681,X680,X679,X678) )
& ( esk53_4(X678,X679,X680,X681) != esk56_4(X678,X679,X680,X681)
| X681 = vabs(esk50_4(X678,X679,X680,X681),esk51_4(X678,X679,X680,X681),esk52_4(X678,X679,X680,X681))
| X680 = vapp(esk44_4(X678,X679,X680,X681),esk47_4(X678,X679,X680,X681))
| epred1_4(X681,X680,X679,X678)
| ~ epred2_4(X681,X680,X679,X678) )
& ( visFreeVar(esk56_4(X678,X679,X680,X681),esk54_4(X678,X679,X680,X681))
| X681 = vabs(esk50_4(X678,X679,X680,X681),esk51_4(X678,X679,X680,X681),esk52_4(X678,X679,X680,X681))
| X680 = vapp(esk44_4(X678,X679,X680,X681),esk47_4(X678,X679,X680,X681))
| epred1_4(X681,X680,X679,X678)
| ~ epred2_4(X681,X680,X679,X678) )
& ( esk57_4(X678,X679,X680,X681) = vgensym(vapp(vapp(esk54_4(X678,X679,X680,X681),esk58_4(X678,X679,X680,X681)),vvar(esk53_4(X678,X679,X680,X681))))
| X681 = vabs(esk50_4(X678,X679,X680,X681),esk51_4(X678,X679,X680,X681),esk52_4(X678,X679,X680,X681))
| X680 = vapp(esk44_4(X678,X679,X680,X681),esk47_4(X678,X679,X680,X681))
| epred1_4(X681,X680,X679,X678)
| ~ epred2_4(X681,X680,X679,X678) )
& ( X681 = vsubst(esk53_4(X678,X679,X680,X681),esk54_4(X678,X679,X680,X681),vabs(esk57_4(X678,X679,X680,X681),esk55_4(X678,X679,X680,X681),vsubst(esk56_4(X678,X679,X680,X681),vvar(esk57_4(X678,X679,X680,X681)),esk58_4(X678,X679,X680,X681))))
| X681 = vabs(esk50_4(X678,X679,X680,X681),esk51_4(X678,X679,X680,X681),esk52_4(X678,X679,X680,X681))
| X680 = vapp(esk44_4(X678,X679,X680,X681),esk47_4(X678,X679,X680,X681))
| epred1_4(X681,X680,X679,X678)
| ~ epred2_4(X681,X680,X679,X678) )
& ( X678 = esk53_4(X678,X679,X680,X681)
| X678 = esk49_4(X678,X679,X680,X681)
| X681 = vapp(vsubst(esk45_4(X678,X679,X680,X681),esk46_4(X678,X679,X680,X681),esk44_4(X678,X679,X680,X681)),vsubst(esk45_4(X678,X679,X680,X681),esk46_4(X678,X679,X680,X681),esk47_4(X678,X679,X680,X681)))
| epred1_4(X681,X680,X679,X678)
| ~ epred2_4(X681,X680,X679,X678) )
& ( X679 = esk54_4(X678,X679,X680,X681)
| X678 = esk49_4(X678,X679,X680,X681)
| X681 = vapp(vsubst(esk45_4(X678,X679,X680,X681),esk46_4(X678,X679,X680,X681),esk44_4(X678,X679,X680,X681)),vsubst(esk45_4(X678,X679,X680,X681),esk46_4(X678,X679,X680,X681),esk47_4(X678,X679,X680,X681)))
| epred1_4(X681,X680,X679,X678)
| ~ epred2_4(X681,X680,X679,X678) )
& ( X680 = vabs(esk56_4(X678,X679,X680,X681),esk55_4(X678,X679,X680,X681),esk58_4(X678,X679,X680,X681))
| X678 = esk49_4(X678,X679,X680,X681)
| X681 = vapp(vsubst(esk45_4(X678,X679,X680,X681),esk46_4(X678,X679,X680,X681),esk44_4(X678,X679,X680,X681)),vsubst(esk45_4(X678,X679,X680,X681),esk46_4(X678,X679,X680,X681),esk47_4(X678,X679,X680,X681)))
| epred1_4(X681,X680,X679,X678)
| ~ epred2_4(X681,X680,X679,X678) )
& ( esk53_4(X678,X679,X680,X681) != esk56_4(X678,X679,X680,X681)
| X678 = esk49_4(X678,X679,X680,X681)
| X681 = vapp(vsubst(esk45_4(X678,X679,X680,X681),esk46_4(X678,X679,X680,X681),esk44_4(X678,X679,X680,X681)),vsubst(esk45_4(X678,X679,X680,X681),esk46_4(X678,X679,X680,X681),esk47_4(X678,X679,X680,X681)))
| epred1_4(X681,X680,X679,X678)
| ~ epred2_4(X681,X680,X679,X678) )
& ( visFreeVar(esk56_4(X678,X679,X680,X681),esk54_4(X678,X679,X680,X681))
| X678 = esk49_4(X678,X679,X680,X681)
| X681 = vapp(vsubst(esk45_4(X678,X679,X680,X681),esk46_4(X678,X679,X680,X681),esk44_4(X678,X679,X680,X681)),vsubst(esk45_4(X678,X679,X680,X681),esk46_4(X678,X679,X680,X681),esk47_4(X678,X679,X680,X681)))
| epred1_4(X681,X680,X679,X678)
| ~ epred2_4(X681,X680,X679,X678) )
& ( esk57_4(X678,X679,X680,X681) = vgensym(vapp(vapp(esk54_4(X678,X679,X680,X681),esk58_4(X678,X679,X680,X681)),vvar(esk53_4(X678,X679,X680,X681))))
| X678 = esk49_4(X678,X679,X680,X681)
| X681 = vapp(vsubst(esk45_4(X678,X679,X680,X681),esk46_4(X678,X679,X680,X681),esk44_4(X678,X679,X680,X681)),vsubst(esk45_4(X678,X679,X680,X681),esk46_4(X678,X679,X680,X681),esk47_4(X678,X679,X680,X681)))
| epred1_4(X681,X680,X679,X678)
| ~ epred2_4(X681,X680,X679,X678) )
& ( X681 = vsubst(esk53_4(X678,X679,X680,X681),esk54_4(X678,X679,X680,X681),vabs(esk57_4(X678,X679,X680,X681),esk55_4(X678,X679,X680,X681),vsubst(esk56_4(X678,X679,X680,X681),vvar(esk57_4(X678,X679,X680,X681)),esk58_4(X678,X679,X680,X681))))
| X678 = esk49_4(X678,X679,X680,X681)
| X681 = vapp(vsubst(esk45_4(X678,X679,X680,X681),esk46_4(X678,X679,X680,X681),esk44_4(X678,X679,X680,X681)),vsubst(esk45_4(X678,X679,X680,X681),esk46_4(X678,X679,X680,X681),esk47_4(X678,X679,X680,X681)))
| epred1_4(X681,X680,X679,X678)
| ~ epred2_4(X681,X680,X679,X678) )
& ( X678 = esk53_4(X678,X679,X680,X681)
| X679 = esk48_4(X678,X679,X680,X681)
| X681 = vapp(vsubst(esk45_4(X678,X679,X680,X681),esk46_4(X678,X679,X680,X681),esk44_4(X678,X679,X680,X681)),vsubst(esk45_4(X678,X679,X680,X681),esk46_4(X678,X679,X680,X681),esk47_4(X678,X679,X680,X681)))
| epred1_4(X681,X680,X679,X678)
| ~ epred2_4(X681,X680,X679,X678) )
& ( X679 = esk54_4(X678,X679,X680,X681)
| X679 = esk48_4(X678,X679,X680,X681)
| X681 = vapp(vsubst(esk45_4(X678,X679,X680,X681),esk46_4(X678,X679,X680,X681),esk44_4(X678,X679,X680,X681)),vsubst(esk45_4(X678,X679,X680,X681),esk46_4(X678,X679,X680,X681),esk47_4(X678,X679,X680,X681)))
| epred1_4(X681,X680,X679,X678)
| ~ epred2_4(X681,X680,X679,X678) )
& ( X680 = vabs(esk56_4(X678,X679,X680,X681),esk55_4(X678,X679,X680,X681),esk58_4(X678,X679,X680,X681))
| X679 = esk48_4(X678,X679,X680,X681)
| X681 = vapp(vsubst(esk45_4(X678,X679,X680,X681),esk46_4(X678,X679,X680,X681),esk44_4(X678,X679,X680,X681)),vsubst(esk45_4(X678,X679,X680,X681),esk46_4(X678,X679,X680,X681),esk47_4(X678,X679,X680,X681)))
| epred1_4(X681,X680,X679,X678)
| ~ epred2_4(X681,X680,X679,X678) )
& ( esk53_4(X678,X679,X680,X681) != esk56_4(X678,X679,X680,X681)
| X679 = esk48_4(X678,X679,X680,X681)
| X681 = vapp(vsubst(esk45_4(X678,X679,X680,X681),esk46_4(X678,X679,X680,X681),esk44_4(X678,X679,X680,X681)),vsubst(esk45_4(X678,X679,X680,X681),esk46_4(X678,X679,X680,X681),esk47_4(X678,X679,X680,X681)))
| epred1_4(X681,X680,X679,X678)
| ~ epred2_4(X681,X680,X679,X678) )
& ( visFreeVar(esk56_4(X678,X679,X680,X681),esk54_4(X678,X679,X680,X681))
| X679 = esk48_4(X678,X679,X680,X681)
| X681 = vapp(vsubst(esk45_4(X678,X679,X680,X681),esk46_4(X678,X679,X680,X681),esk44_4(X678,X679,X680,X681)),vsubst(esk45_4(X678,X679,X680,X681),esk46_4(X678,X679,X680,X681),esk47_4(X678,X679,X680,X681)))
| epred1_4(X681,X680,X679,X678)
| ~ epred2_4(X681,X680,X679,X678) )
& ( esk57_4(X678,X679,X680,X681) = vgensym(vapp(vapp(esk54_4(X678,X679,X680,X681),esk58_4(X678,X679,X680,X681)),vvar(esk53_4(X678,X679,X680,X681))))
| X679 = esk48_4(X678,X679,X680,X681)
| X681 = vapp(vsubst(esk45_4(X678,X679,X680,X681),esk46_4(X678,X679,X680,X681),esk44_4(X678,X679,X680,X681)),vsubst(esk45_4(X678,X679,X680,X681),esk46_4(X678,X679,X680,X681),esk47_4(X678,X679,X680,X681)))
| epred1_4(X681,X680,X679,X678)
| ~ epred2_4(X681,X680,X679,X678) )
& ( X681 = vsubst(esk53_4(X678,X679,X680,X681),esk54_4(X678,X679,X680,X681),vabs(esk57_4(X678,X679,X680,X681),esk55_4(X678,X679,X680,X681),vsubst(esk56_4(X678,X679,X680,X681),vvar(esk57_4(X678,X679,X680,X681)),esk58_4(X678,X679,X680,X681))))
| X679 = esk48_4(X678,X679,X680,X681)
| X681 = vapp(vsubst(esk45_4(X678,X679,X680,X681),esk46_4(X678,X679,X680,X681),esk44_4(X678,X679,X680,X681)),vsubst(esk45_4(X678,X679,X680,X681),esk46_4(X678,X679,X680,X681),esk47_4(X678,X679,X680,X681)))
| epred1_4(X681,X680,X679,X678)
| ~ epred2_4(X681,X680,X679,X678) )
& ( X678 = esk53_4(X678,X679,X680,X681)
| X680 = vabs(esk50_4(X678,X679,X680,X681),esk51_4(X678,X679,X680,X681),esk52_4(X678,X679,X680,X681))
| X681 = vapp(vsubst(esk45_4(X678,X679,X680,X681),esk46_4(X678,X679,X680,X681),esk44_4(X678,X679,X680,X681)),vsubst(esk45_4(X678,X679,X680,X681),esk46_4(X678,X679,X680,X681),esk47_4(X678,X679,X680,X681)))
| epred1_4(X681,X680,X679,X678)
| ~ epred2_4(X681,X680,X679,X678) )
& ( X679 = esk54_4(X678,X679,X680,X681)
| X680 = vabs(esk50_4(X678,X679,X680,X681),esk51_4(X678,X679,X680,X681),esk52_4(X678,X679,X680,X681))
| X681 = vapp(vsubst(esk45_4(X678,X679,X680,X681),esk46_4(X678,X679,X680,X681),esk44_4(X678,X679,X680,X681)),vsubst(esk45_4(X678,X679,X680,X681),esk46_4(X678,X679,X680,X681),esk47_4(X678,X679,X680,X681)))
| epred1_4(X681,X680,X679,X678)
| ~ epred2_4(X681,X680,X679,X678) )
& ( X680 = vabs(esk56_4(X678,X679,X680,X681),esk55_4(X678,X679,X680,X681),esk58_4(X678,X679,X680,X681))
| X680 = vabs(esk50_4(X678,X679,X680,X681),esk51_4(X678,X679,X680,X681),esk52_4(X678,X679,X680,X681))
| X681 = vapp(vsubst(esk45_4(X678,X679,X680,X681),esk46_4(X678,X679,X680,X681),esk44_4(X678,X679,X680,X681)),vsubst(esk45_4(X678,X679,X680,X681),esk46_4(X678,X679,X680,X681),esk47_4(X678,X679,X680,X681)))
| epred1_4(X681,X680,X679,X678)
| ~ epred2_4(X681,X680,X679,X678) )
& ( esk53_4(X678,X679,X680,X681) != esk56_4(X678,X679,X680,X681)
| X680 = vabs(esk50_4(X678,X679,X680,X681),esk51_4(X678,X679,X680,X681),esk52_4(X678,X679,X680,X681))
| X681 = vapp(vsubst(esk45_4(X678,X679,X680,X681),esk46_4(X678,X679,X680,X681),esk44_4(X678,X679,X680,X681)),vsubst(esk45_4(X678,X679,X680,X681),esk46_4(X678,X679,X680,X681),esk47_4(X678,X679,X680,X681)))
| epred1_4(X681,X680,X679,X678)
| ~ epred2_4(X681,X680,X679,X678) )
& ( visFreeVar(esk56_4(X678,X679,X680,X681),esk54_4(X678,X679,X680,X681))
| X680 = vabs(esk50_4(X678,X679,X680,X681),esk51_4(X678,X679,X680,X681),esk52_4(X678,X679,X680,X681))
| X681 = vapp(vsubst(esk45_4(X678,X679,X680,X681),esk46_4(X678,X679,X680,X681),esk44_4(X678,X679,X680,X681)),vsubst(esk45_4(X678,X679,X680,X681),esk46_4(X678,X679,X680,X681),esk47_4(X678,X679,X680,X681)))
| epred1_4(X681,X680,X679,X678)
| ~ epred2_4(X681,X680,X679,X678) )
& ( esk57_4(X678,X679,X680,X681) = vgensym(vapp(vapp(esk54_4(X678,X679,X680,X681),esk58_4(X678,X679,X680,X681)),vvar(esk53_4(X678,X679,X680,X681))))
| X680 = vabs(esk50_4(X678,X679,X680,X681),esk51_4(X678,X679,X680,X681),esk52_4(X678,X679,X680,X681))
| X681 = vapp(vsubst(esk45_4(X678,X679,X680,X681),esk46_4(X678,X679,X680,X681),esk44_4(X678,X679,X680,X681)),vsubst(esk45_4(X678,X679,X680,X681),esk46_4(X678,X679,X680,X681),esk47_4(X678,X679,X680,X681)))
| epred1_4(X681,X680,X679,X678)
| ~ epred2_4(X681,X680,X679,X678) )
& ( X681 = vsubst(esk53_4(X678,X679,X680,X681),esk54_4(X678,X679,X680,X681),vabs(esk57_4(X678,X679,X680,X681),esk55_4(X678,X679,X680,X681),vsubst(esk56_4(X678,X679,X680,X681),vvar(esk57_4(X678,X679,X680,X681)),esk58_4(X678,X679,X680,X681))))
| X680 = vabs(esk50_4(X678,X679,X680,X681),esk51_4(X678,X679,X680,X681),esk52_4(X678,X679,X680,X681))
| X681 = vapp(vsubst(esk45_4(X678,X679,X680,X681),esk46_4(X678,X679,X680,X681),esk44_4(X678,X679,X680,X681)),vsubst(esk45_4(X678,X679,X680,X681),esk46_4(X678,X679,X680,X681),esk47_4(X678,X679,X680,X681)))
| epred1_4(X681,X680,X679,X678)
| ~ epred2_4(X681,X680,X679,X678) )
& ( X678 = esk53_4(X678,X679,X680,X681)
| esk49_4(X678,X679,X680,X681) = esk50_4(X678,X679,X680,X681)
| X681 = vapp(vsubst(esk45_4(X678,X679,X680,X681),esk46_4(X678,X679,X680,X681),esk44_4(X678,X679,X680,X681)),vsubst(esk45_4(X678,X679,X680,X681),esk46_4(X678,X679,X680,X681),esk47_4(X678,X679,X680,X681)))
| epred1_4(X681,X680,X679,X678)
| ~ epred2_4(X681,X680,X679,X678) )
& ( X679 = esk54_4(X678,X679,X680,X681)
| esk49_4(X678,X679,X680,X681) = esk50_4(X678,X679,X680,X681)
| X681 = vapp(vsubst(esk45_4(X678,X679,X680,X681),esk46_4(X678,X679,X680,X681),esk44_4(X678,X679,X680,X681)),vsubst(esk45_4(X678,X679,X680,X681),esk46_4(X678,X679,X680,X681),esk47_4(X678,X679,X680,X681)))
| epred1_4(X681,X680,X679,X678)
| ~ epred2_4(X681,X680,X679,X678) )
& ( X680 = vabs(esk56_4(X678,X679,X680,X681),esk55_4(X678,X679,X680,X681),esk58_4(X678,X679,X680,X681))
| esk49_4(X678,X679,X680,X681) = esk50_4(X678,X679,X680,X681)
| X681 = vapp(vsubst(esk45_4(X678,X679,X680,X681),esk46_4(X678,X679,X680,X681),esk44_4(X678,X679,X680,X681)),vsubst(esk45_4(X678,X679,X680,X681),esk46_4(X678,X679,X680,X681),esk47_4(X678,X679,X680,X681)))
| epred1_4(X681,X680,X679,X678)
| ~ epred2_4(X681,X680,X679,X678) )
& ( esk53_4(X678,X679,X680,X681) != esk56_4(X678,X679,X680,X681)
| esk49_4(X678,X679,X680,X681) = esk50_4(X678,X679,X680,X681)
| X681 = vapp(vsubst(esk45_4(X678,X679,X680,X681),esk46_4(X678,X679,X680,X681),esk44_4(X678,X679,X680,X681)),vsubst(esk45_4(X678,X679,X680,X681),esk46_4(X678,X679,X680,X681),esk47_4(X678,X679,X680,X681)))
| epred1_4(X681,X680,X679,X678)
| ~ epred2_4(X681,X680,X679,X678) )
& ( visFreeVar(esk56_4(X678,X679,X680,X681),esk54_4(X678,X679,X680,X681))
| esk49_4(X678,X679,X680,X681) = esk50_4(X678,X679,X680,X681)
| X681 = vapp(vsubst(esk45_4(X678,X679,X680,X681),esk46_4(X678,X679,X680,X681),esk44_4(X678,X679,X680,X681)),vsubst(esk45_4(X678,X679,X680,X681),esk46_4(X678,X679,X680,X681),esk47_4(X678,X679,X680,X681)))
| epred1_4(X681,X680,X679,X678)
| ~ epred2_4(X681,X680,X679,X678) )
& ( esk57_4(X678,X679,X680,X681) = vgensym(vapp(vapp(esk54_4(X678,X679,X680,X681),esk58_4(X678,X679,X680,X681)),vvar(esk53_4(X678,X679,X680,X681))))
| esk49_4(X678,X679,X680,X681) = esk50_4(X678,X679,X680,X681)
| X681 = vapp(vsubst(esk45_4(X678,X679,X680,X681),esk46_4(X678,X679,X680,X681),esk44_4(X678,X679,X680,X681)),vsubst(esk45_4(X678,X679,X680,X681),esk46_4(X678,X679,X680,X681),esk47_4(X678,X679,X680,X681)))
| epred1_4(X681,X680,X679,X678)
| ~ epred2_4(X681,X680,X679,X678) )
& ( X681 = vsubst(esk53_4(X678,X679,X680,X681),esk54_4(X678,X679,X680,X681),vabs(esk57_4(X678,X679,X680,X681),esk55_4(X678,X679,X680,X681),vsubst(esk56_4(X678,X679,X680,X681),vvar(esk57_4(X678,X679,X680,X681)),esk58_4(X678,X679,X680,X681))))
| esk49_4(X678,X679,X680,X681) = esk50_4(X678,X679,X680,X681)
| X681 = vapp(vsubst(esk45_4(X678,X679,X680,X681),esk46_4(X678,X679,X680,X681),esk44_4(X678,X679,X680,X681)),vsubst(esk45_4(X678,X679,X680,X681),esk46_4(X678,X679,X680,X681),esk47_4(X678,X679,X680,X681)))
| epred1_4(X681,X680,X679,X678)
| ~ epred2_4(X681,X680,X679,X678) )
& ( X678 = esk53_4(X678,X679,X680,X681)
| X681 = vabs(esk50_4(X678,X679,X680,X681),esk51_4(X678,X679,X680,X681),esk52_4(X678,X679,X680,X681))
| X681 = vapp(vsubst(esk45_4(X678,X679,X680,X681),esk46_4(X678,X679,X680,X681),esk44_4(X678,X679,X680,X681)),vsubst(esk45_4(X678,X679,X680,X681),esk46_4(X678,X679,X680,X681),esk47_4(X678,X679,X680,X681)))
| epred1_4(X681,X680,X679,X678)
| ~ epred2_4(X681,X680,X679,X678) )
& ( X679 = esk54_4(X678,X679,X680,X681)
| X681 = vabs(esk50_4(X678,X679,X680,X681),esk51_4(X678,X679,X680,X681),esk52_4(X678,X679,X680,X681))
| X681 = vapp(vsubst(esk45_4(X678,X679,X680,X681),esk46_4(X678,X679,X680,X681),esk44_4(X678,X679,X680,X681)),vsubst(esk45_4(X678,X679,X680,X681),esk46_4(X678,X679,X680,X681),esk47_4(X678,X679,X680,X681)))
| epred1_4(X681,X680,X679,X678)
| ~ epred2_4(X681,X680,X679,X678) )
& ( X680 = vabs(esk56_4(X678,X679,X680,X681),esk55_4(X678,X679,X680,X681),esk58_4(X678,X679,X680,X681))
| X681 = vabs(esk50_4(X678,X679,X680,X681),esk51_4(X678,X679,X680,X681),esk52_4(X678,X679,X680,X681))
| X681 = vapp(vsubst(esk45_4(X678,X679,X680,X681),esk46_4(X678,X679,X680,X681),esk44_4(X678,X679,X680,X681)),vsubst(esk45_4(X678,X679,X680,X681),esk46_4(X678,X679,X680,X681),esk47_4(X678,X679,X680,X681)))
| epred1_4(X681,X680,X679,X678)
| ~ epred2_4(X681,X680,X679,X678) )
& ( esk53_4(X678,X679,X680,X681) != esk56_4(X678,X679,X680,X681)
| X681 = vabs(esk50_4(X678,X679,X680,X681),esk51_4(X678,X679,X680,X681),esk52_4(X678,X679,X680,X681))
| X681 = vapp(vsubst(esk45_4(X678,X679,X680,X681),esk46_4(X678,X679,X680,X681),esk44_4(X678,X679,X680,X681)),vsubst(esk45_4(X678,X679,X680,X681),esk46_4(X678,X679,X680,X681),esk47_4(X678,X679,X680,X681)))
| epred1_4(X681,X680,X679,X678)
| ~ epred2_4(X681,X680,X679,X678) )
& ( visFreeVar(esk56_4(X678,X679,X680,X681),esk54_4(X678,X679,X680,X681))
| X681 = vabs(esk50_4(X678,X679,X680,X681),esk51_4(X678,X679,X680,X681),esk52_4(X678,X679,X680,X681))
| X681 = vapp(vsubst(esk45_4(X678,X679,X680,X681),esk46_4(X678,X679,X680,X681),esk44_4(X678,X679,X680,X681)),vsubst(esk45_4(X678,X679,X680,X681),esk46_4(X678,X679,X680,X681),esk47_4(X678,X679,X680,X681)))
| epred1_4(X681,X680,X679,X678)
| ~ epred2_4(X681,X680,X679,X678) )
& ( esk57_4(X678,X679,X680,X681) = vgensym(vapp(vapp(esk54_4(X678,X679,X680,X681),esk58_4(X678,X679,X680,X681)),vvar(esk53_4(X678,X679,X680,X681))))
| X681 = vabs(esk50_4(X678,X679,X680,X681),esk51_4(X678,X679,X680,X681),esk52_4(X678,X679,X680,X681))
| X681 = vapp(vsubst(esk45_4(X678,X679,X680,X681),esk46_4(X678,X679,X680,X681),esk44_4(X678,X679,X680,X681)),vsubst(esk45_4(X678,X679,X680,X681),esk46_4(X678,X679,X680,X681),esk47_4(X678,X679,X680,X681)))
| epred1_4(X681,X680,X679,X678)
| ~ epred2_4(X681,X680,X679,X678) )
& ( X681 = vsubst(esk53_4(X678,X679,X680,X681),esk54_4(X678,X679,X680,X681),vabs(esk57_4(X678,X679,X680,X681),esk55_4(X678,X679,X680,X681),vsubst(esk56_4(X678,X679,X680,X681),vvar(esk57_4(X678,X679,X680,X681)),esk58_4(X678,X679,X680,X681))))
| X681 = vabs(esk50_4(X678,X679,X680,X681),esk51_4(X678,X679,X680,X681),esk52_4(X678,X679,X680,X681))
| X681 = vapp(vsubst(esk45_4(X678,X679,X680,X681),esk46_4(X678,X679,X680,X681),esk44_4(X678,X679,X680,X681)),vsubst(esk45_4(X678,X679,X680,X681),esk46_4(X678,X679,X680,X681),esk47_4(X678,X679,X680,X681)))
| epred1_4(X681,X680,X679,X678)
| ~ epred2_4(X681,X680,X679,X678) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_62])])])]) ).
fof(i_0_83,plain,
! [X584,X585,X586,X587,X588] :
( X585 != vapp(X584,X588)
| X584 = vabs(esk15_5(X584,X585,X586,X587,X588),esk16_5(X584,X585,X586,X587,X588),esk17_5(X584,X585,X586,X587,X588))
| X587 != vreduce(X584)
| ~ visSomeExp(X587)
| X586 != vreduce(X585)
| X586 = vsomeExp(vapp(vgetSomeExp(X587),X588)) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[reduce5])])]) ).
fof(i_0_84,plain,
! [X537,X538,X539,X540] :
( ( X537 = esk12_4(X537,X538,X539,X540)
| epred2_4(X540,X539,X538,X537)
| vsubst(X537,X538,X539) != X540 )
& ( X538 = esk13_4(X537,X538,X539,X540)
| epred2_4(X540,X539,X538,X537)
| vsubst(X537,X538,X539) != X540 )
& ( X539 = vabs(esk10_4(X537,X538,X539,X540),esk11_4(X537,X538,X539,X540),esk14_4(X537,X538,X539,X540))
| epred2_4(X540,X539,X538,X537)
| vsubst(X537,X538,X539) != X540 )
& ( esk12_4(X537,X538,X539,X540) != esk10_4(X537,X538,X539,X540)
| epred2_4(X540,X539,X538,X537)
| vsubst(X537,X538,X539) != X540 )
& ( ~ visFreeVar(esk10_4(X537,X538,X539,X540),esk13_4(X537,X538,X539,X540))
| epred2_4(X540,X539,X538,X537)
| vsubst(X537,X538,X539) != X540 )
& ( X540 = vabs(esk10_4(X537,X538,X539,X540),esk11_4(X537,X538,X539,X540),vsubst(esk12_4(X537,X538,X539,X540),esk13_4(X537,X538,X539,X540),esk14_4(X537,X538,X539,X540)))
| epred2_4(X540,X539,X538,X537)
| vsubst(X537,X538,X539) != X540 ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_63])])])]) ).
fof(i_0_85,plain,
! [X668,X669,X670,X671] :
( ( X668 = esk42_4(X668,X669,X670,X671)
| X668 = esk38_4(X668,X669,X670,X671)
| ~ epred1_4(X671,X670,X669,X668) )
& ( X669 = esk41_4(X668,X669,X670,X671)
| X668 = esk38_4(X668,X669,X670,X671)
| ~ epred1_4(X671,X670,X669,X668) )
& ( X670 = vvar(esk43_4(X668,X669,X670,X671))
| X668 = esk38_4(X668,X669,X670,X671)
| ~ epred1_4(X671,X670,X669,X668) )
& ( esk42_4(X668,X669,X670,X671) != esk43_4(X668,X669,X670,X671)
| X668 = esk38_4(X668,X669,X670,X671)
| ~ epred1_4(X671,X670,X669,X668) )
& ( X671 = vvar(esk43_4(X668,X669,X670,X671))
| X668 = esk38_4(X668,X669,X670,X671)
| ~ epred1_4(X671,X670,X669,X668) )
& ( X668 = esk42_4(X668,X669,X670,X671)
| X669 = esk40_4(X668,X669,X670,X671)
| ~ epred1_4(X671,X670,X669,X668) )
& ( X669 = esk41_4(X668,X669,X670,X671)
| X669 = esk40_4(X668,X669,X670,X671)
| ~ epred1_4(X671,X670,X669,X668) )
& ( X670 = vvar(esk43_4(X668,X669,X670,X671))
| X669 = esk40_4(X668,X669,X670,X671)
| ~ epred1_4(X671,X670,X669,X668) )
& ( esk42_4(X668,X669,X670,X671) != esk43_4(X668,X669,X670,X671)
| X669 = esk40_4(X668,X669,X670,X671)
| ~ epred1_4(X671,X670,X669,X668) )
& ( X671 = vvar(esk43_4(X668,X669,X670,X671))
| X669 = esk40_4(X668,X669,X670,X671)
| ~ epred1_4(X671,X670,X669,X668) )
& ( X668 = esk42_4(X668,X669,X670,X671)
| X670 = vvar(esk39_4(X668,X669,X670,X671))
| ~ epred1_4(X671,X670,X669,X668) )
& ( X669 = esk41_4(X668,X669,X670,X671)
| X670 = vvar(esk39_4(X668,X669,X670,X671))
| ~ epred1_4(X671,X670,X669,X668) )
& ( X670 = vvar(esk43_4(X668,X669,X670,X671))
| X670 = vvar(esk39_4(X668,X669,X670,X671))
| ~ epred1_4(X671,X670,X669,X668) )
& ( esk42_4(X668,X669,X670,X671) != esk43_4(X668,X669,X670,X671)
| X670 = vvar(esk39_4(X668,X669,X670,X671))
| ~ epred1_4(X671,X670,X669,X668) )
& ( X671 = vvar(esk43_4(X668,X669,X670,X671))
| X670 = vvar(esk39_4(X668,X669,X670,X671))
| ~ epred1_4(X671,X670,X669,X668) )
& ( X668 = esk42_4(X668,X669,X670,X671)
| esk38_4(X668,X669,X670,X671) = esk39_4(X668,X669,X670,X671)
| ~ epred1_4(X671,X670,X669,X668) )
& ( X669 = esk41_4(X668,X669,X670,X671)
| esk38_4(X668,X669,X670,X671) = esk39_4(X668,X669,X670,X671)
| ~ epred1_4(X671,X670,X669,X668) )
& ( X670 = vvar(esk43_4(X668,X669,X670,X671))
| esk38_4(X668,X669,X670,X671) = esk39_4(X668,X669,X670,X671)
| ~ epred1_4(X671,X670,X669,X668) )
& ( esk42_4(X668,X669,X670,X671) != esk43_4(X668,X669,X670,X671)
| esk38_4(X668,X669,X670,X671) = esk39_4(X668,X669,X670,X671)
| ~ epred1_4(X671,X670,X669,X668) )
& ( X671 = vvar(esk43_4(X668,X669,X670,X671))
| esk38_4(X668,X669,X670,X671) = esk39_4(X668,X669,X670,X671)
| ~ epred1_4(X671,X670,X669,X668) )
& ( X668 = esk42_4(X668,X669,X670,X671)
| X671 = esk40_4(X668,X669,X670,X671)
| ~ epred1_4(X671,X670,X669,X668) )
& ( X669 = esk41_4(X668,X669,X670,X671)
| X671 = esk40_4(X668,X669,X670,X671)
| ~ epred1_4(X671,X670,X669,X668) )
& ( X670 = vvar(esk43_4(X668,X669,X670,X671))
| X671 = esk40_4(X668,X669,X670,X671)
| ~ epred1_4(X671,X670,X669,X668) )
& ( esk42_4(X668,X669,X670,X671) != esk43_4(X668,X669,X670,X671)
| X671 = esk40_4(X668,X669,X670,X671)
| ~ epred1_4(X671,X670,X669,X668) )
& ( X671 = vvar(esk43_4(X668,X669,X670,X671))
| X671 = esk40_4(X668,X669,X670,X671)
| ~ epred1_4(X671,X670,X669,X668) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_64])])])]) ).
fof(i_0_86,plain,
! [X592,X593,X594,X595,X599] :
( X595 != vapp(X593,X592)
| X593 = vabs(esk18_4(X592,X593,X594,X595),esk19_4(X592,X593,X594,X595),esk20_4(X592,X593,X594,X595))
| X594 != vreduce(X593)
| visSomeExp(X594)
| X599 != vreduce(X595)
| X599 = 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_65])])])])]) ).
fof(i_0_87,plain,
! [X625,X626,X627] :
( ( X625 = vapp(esk29_3(X625,X626,X627),esk30_3(X625,X626,X627))
| X625 = vabs(esk25_3(X625,X626,X627),esk27_3(X625,X626,X627),esk26_3(X625,X626,X627))
| X625 = vvar(esk24_3(X625,X626,X627))
| ~ vtcheck(X627,X625,X626) )
& ( vtcheck(X627,esk29_3(X625,X626,X627),varrow(esk31_3(X625,X626,X627),X626))
| X625 = vabs(esk25_3(X625,X626,X627),esk27_3(X625,X626,X627),esk26_3(X625,X626,X627))
| X625 = vvar(esk24_3(X625,X626,X627))
| ~ vtcheck(X627,X625,X626) )
& ( vtcheck(X627,esk30_3(X625,X626,X627),esk31_3(X625,X626,X627))
| X625 = vabs(esk25_3(X625,X626,X627),esk27_3(X625,X626,X627),esk26_3(X625,X626,X627))
| X625 = vvar(esk24_3(X625,X626,X627))
| ~ vtcheck(X627,X625,X626) )
& ( X625 = vapp(esk29_3(X625,X626,X627),esk30_3(X625,X626,X627))
| X626 = varrow(esk27_3(X625,X626,X627),esk28_3(X625,X626,X627))
| X625 = vvar(esk24_3(X625,X626,X627))
| ~ vtcheck(X627,X625,X626) )
& ( vtcheck(X627,esk29_3(X625,X626,X627),varrow(esk31_3(X625,X626,X627),X626))
| X626 = varrow(esk27_3(X625,X626,X627),esk28_3(X625,X626,X627))
| X625 = vvar(esk24_3(X625,X626,X627))
| ~ vtcheck(X627,X625,X626) )
& ( vtcheck(X627,esk30_3(X625,X626,X627),esk31_3(X625,X626,X627))
| X626 = varrow(esk27_3(X625,X626,X627),esk28_3(X625,X626,X627))
| X625 = vvar(esk24_3(X625,X626,X627))
| ~ vtcheck(X627,X625,X626) )
& ( X625 = vapp(esk29_3(X625,X626,X627),esk30_3(X625,X626,X627))
| vtcheck(vbind(esk25_3(X625,X626,X627),esk27_3(X625,X626,X627),X627),esk26_3(X625,X626,X627),esk28_3(X625,X626,X627))
| X625 = vvar(esk24_3(X625,X626,X627))
| ~ vtcheck(X627,X625,X626) )
& ( vtcheck(X627,esk29_3(X625,X626,X627),varrow(esk31_3(X625,X626,X627),X626))
| vtcheck(vbind(esk25_3(X625,X626,X627),esk27_3(X625,X626,X627),X627),esk26_3(X625,X626,X627),esk28_3(X625,X626,X627))
| X625 = vvar(esk24_3(X625,X626,X627))
| ~ vtcheck(X627,X625,X626) )
& ( vtcheck(X627,esk30_3(X625,X626,X627),esk31_3(X625,X626,X627))
| vtcheck(vbind(esk25_3(X625,X626,X627),esk27_3(X625,X626,X627),X627),esk26_3(X625,X626,X627),esk28_3(X625,X626,X627))
| X625 = vvar(esk24_3(X625,X626,X627))
| ~ vtcheck(X627,X625,X626) )
& ( X625 = vapp(esk29_3(X625,X626,X627),esk30_3(X625,X626,X627))
| X625 = vabs(esk25_3(X625,X626,X627),esk27_3(X625,X626,X627),esk26_3(X625,X626,X627))
| vlookup(esk24_3(X625,X626,X627),X627) = vsomeType(X626)
| ~ vtcheck(X627,X625,X626) )
& ( vtcheck(X627,esk29_3(X625,X626,X627),varrow(esk31_3(X625,X626,X627),X626))
| X625 = vabs(esk25_3(X625,X626,X627),esk27_3(X625,X626,X627),esk26_3(X625,X626,X627))
| vlookup(esk24_3(X625,X626,X627),X627) = vsomeType(X626)
| ~ vtcheck(X627,X625,X626) )
& ( vtcheck(X627,esk30_3(X625,X626,X627),esk31_3(X625,X626,X627))
| X625 = vabs(esk25_3(X625,X626,X627),esk27_3(X625,X626,X627),esk26_3(X625,X626,X627))
| vlookup(esk24_3(X625,X626,X627),X627) = vsomeType(X626)
| ~ vtcheck(X627,X625,X626) )
& ( X625 = vapp(esk29_3(X625,X626,X627),esk30_3(X625,X626,X627))
| X626 = varrow(esk27_3(X625,X626,X627),esk28_3(X625,X626,X627))
| vlookup(esk24_3(X625,X626,X627),X627) = vsomeType(X626)
| ~ vtcheck(X627,X625,X626) )
& ( vtcheck(X627,esk29_3(X625,X626,X627),varrow(esk31_3(X625,X626,X627),X626))
| X626 = varrow(esk27_3(X625,X626,X627),esk28_3(X625,X626,X627))
| vlookup(esk24_3(X625,X626,X627),X627) = vsomeType(X626)
| ~ vtcheck(X627,X625,X626) )
& ( vtcheck(X627,esk30_3(X625,X626,X627),esk31_3(X625,X626,X627))
| X626 = varrow(esk27_3(X625,X626,X627),esk28_3(X625,X626,X627))
| vlookup(esk24_3(X625,X626,X627),X627) = vsomeType(X626)
| ~ vtcheck(X627,X625,X626) )
& ( X625 = vapp(esk29_3(X625,X626,X627),esk30_3(X625,X626,X627))
| vtcheck(vbind(esk25_3(X625,X626,X627),esk27_3(X625,X626,X627),X627),esk26_3(X625,X626,X627),esk28_3(X625,X626,X627))
| vlookup(esk24_3(X625,X626,X627),X627) = vsomeType(X626)
| ~ vtcheck(X627,X625,X626) )
& ( vtcheck(X627,esk29_3(X625,X626,X627),varrow(esk31_3(X625,X626,X627),X626))
| vtcheck(vbind(esk25_3(X625,X626,X627),esk27_3(X625,X626,X627),X627),esk26_3(X625,X626,X627),esk28_3(X625,X626,X627))
| vlookup(esk24_3(X625,X626,X627),X627) = vsomeType(X626)
| ~ vtcheck(X627,X625,X626) )
& ( vtcheck(X627,esk30_3(X625,X626,X627),esk31_3(X625,X626,X627))
| vtcheck(vbind(esk25_3(X625,X626,X627),esk27_3(X625,X626,X627),X627),esk26_3(X625,X626,X627),esk28_3(X625,X626,X627))
| vlookup(esk24_3(X625,X626,X627),X627) = vsomeType(X626)
| ~ vtcheck(X627,X625,X626) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['T-inv'])])])]) ).
cnf(i_0_88,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_66]) ).
fof(i_0_89,plain,
! [X478,X479,X480,X481,X482,X483,X484] :
( X480 = X478
| ~ vtcheck(vbind(X480,X481,vbind(X478,X479,X482)),X483,X484)
| vtcheck(vbind(X478,X479,vbind(X480,X481,X482)),X483,X484) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['T-Context-Swap'])]) ).
cnf(i_0_90,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_66]) ).
fof(i_0_91,plain,
! [X459,X460,X461] :
( ( X459 = esk8_3(X459,X460,X461)
| X459 = esk3_3(X459,X460,X461)
| X459 = esk1_3(X459,X460,X461)
| vlookup(X459,X460) != X461 )
& ( X460 = vbind(esk7_3(X459,X460,X461),esk6_3(X459,X460,X461),esk9_3(X459,X460,X461))
| X459 = esk3_3(X459,X460,X461)
| X459 = esk1_3(X459,X460,X461)
| vlookup(X459,X460) != X461 )
& ( esk8_3(X459,X460,X461) != esk7_3(X459,X460,X461)
| X459 = esk3_3(X459,X460,X461)
| X459 = esk1_3(X459,X460,X461)
| vlookup(X459,X460) != X461 )
& ( X461 = vlookup(esk8_3(X459,X460,X461),esk9_3(X459,X460,X461))
| X459 = esk3_3(X459,X460,X461)
| X459 = esk1_3(X459,X460,X461)
| vlookup(X459,X460) != X461 )
& ( X459 = esk8_3(X459,X460,X461)
| X460 = vbind(esk4_3(X459,X460,X461),esk5_3(X459,X460,X461),esk2_3(X459,X460,X461))
| X459 = esk1_3(X459,X460,X461)
| vlookup(X459,X460) != X461 )
& ( X460 = vbind(esk7_3(X459,X460,X461),esk6_3(X459,X460,X461),esk9_3(X459,X460,X461))
| X460 = vbind(esk4_3(X459,X460,X461),esk5_3(X459,X460,X461),esk2_3(X459,X460,X461))
| X459 = esk1_3(X459,X460,X461)
| vlookup(X459,X460) != X461 )
& ( esk8_3(X459,X460,X461) != esk7_3(X459,X460,X461)
| X460 = vbind(esk4_3(X459,X460,X461),esk5_3(X459,X460,X461),esk2_3(X459,X460,X461))
| X459 = esk1_3(X459,X460,X461)
| vlookup(X459,X460) != X461 )
& ( X461 = vlookup(esk8_3(X459,X460,X461),esk9_3(X459,X460,X461))
| X460 = vbind(esk4_3(X459,X460,X461),esk5_3(X459,X460,X461),esk2_3(X459,X460,X461))
| X459 = esk1_3(X459,X460,X461)
| vlookup(X459,X460) != X461 )
& ( X459 = esk8_3(X459,X460,X461)
| esk3_3(X459,X460,X461) = esk4_3(X459,X460,X461)
| X459 = esk1_3(X459,X460,X461)
| vlookup(X459,X460) != X461 )
& ( X460 = vbind(esk7_3(X459,X460,X461),esk6_3(X459,X460,X461),esk9_3(X459,X460,X461))
| esk3_3(X459,X460,X461) = esk4_3(X459,X460,X461)
| X459 = esk1_3(X459,X460,X461)
| vlookup(X459,X460) != X461 )
& ( esk8_3(X459,X460,X461) != esk7_3(X459,X460,X461)
| esk3_3(X459,X460,X461) = esk4_3(X459,X460,X461)
| X459 = esk1_3(X459,X460,X461)
| vlookup(X459,X460) != X461 )
& ( X461 = vlookup(esk8_3(X459,X460,X461),esk9_3(X459,X460,X461))
| esk3_3(X459,X460,X461) = esk4_3(X459,X460,X461)
| X459 = esk1_3(X459,X460,X461)
| vlookup(X459,X460) != X461 )
& ( X459 = esk8_3(X459,X460,X461)
| X461 = vsomeType(esk5_3(X459,X460,X461))
| X459 = esk1_3(X459,X460,X461)
| vlookup(X459,X460) != X461 )
& ( X460 = vbind(esk7_3(X459,X460,X461),esk6_3(X459,X460,X461),esk9_3(X459,X460,X461))
| X461 = vsomeType(esk5_3(X459,X460,X461))
| X459 = esk1_3(X459,X460,X461)
| vlookup(X459,X460) != X461 )
& ( esk8_3(X459,X460,X461) != esk7_3(X459,X460,X461)
| X461 = vsomeType(esk5_3(X459,X460,X461))
| X459 = esk1_3(X459,X460,X461)
| vlookup(X459,X460) != X461 )
& ( X461 = vlookup(esk8_3(X459,X460,X461),esk9_3(X459,X460,X461))
| X461 = vsomeType(esk5_3(X459,X460,X461))
| X459 = esk1_3(X459,X460,X461)
| vlookup(X459,X460) != X461 )
& ( X459 = esk8_3(X459,X460,X461)
| X459 = esk3_3(X459,X460,X461)
| X460 = vempty
| vlookup(X459,X460) != X461 )
& ( X460 = vbind(esk7_3(X459,X460,X461),esk6_3(X459,X460,X461),esk9_3(X459,X460,X461))
| X459 = esk3_3(X459,X460,X461)
| X460 = vempty
| vlookup(X459,X460) != X461 )
& ( esk8_3(X459,X460,X461) != esk7_3(X459,X460,X461)
| X459 = esk3_3(X459,X460,X461)
| X460 = vempty
| vlookup(X459,X460) != X461 )
& ( X461 = vlookup(esk8_3(X459,X460,X461),esk9_3(X459,X460,X461))
| X459 = esk3_3(X459,X460,X461)
| X460 = vempty
| vlookup(X459,X460) != X461 )
& ( X459 = esk8_3(X459,X460,X461)
| X460 = vbind(esk4_3(X459,X460,X461),esk5_3(X459,X460,X461),esk2_3(X459,X460,X461))
| X460 = vempty
| vlookup(X459,X460) != X461 )
& ( X460 = vbind(esk7_3(X459,X460,X461),esk6_3(X459,X460,X461),esk9_3(X459,X460,X461))
| X460 = vbind(esk4_3(X459,X460,X461),esk5_3(X459,X460,X461),esk2_3(X459,X460,X461))
| X460 = vempty
| vlookup(X459,X460) != X461 )
& ( esk8_3(X459,X460,X461) != esk7_3(X459,X460,X461)
| X460 = vbind(esk4_3(X459,X460,X461),esk5_3(X459,X460,X461),esk2_3(X459,X460,X461))
| X460 = vempty
| vlookup(X459,X460) != X461 )
& ( X461 = vlookup(esk8_3(X459,X460,X461),esk9_3(X459,X460,X461))
| X460 = vbind(esk4_3(X459,X460,X461),esk5_3(X459,X460,X461),esk2_3(X459,X460,X461))
| X460 = vempty
| vlookup(X459,X460) != X461 )
& ( X459 = esk8_3(X459,X460,X461)
| esk3_3(X459,X460,X461) = esk4_3(X459,X460,X461)
| X460 = vempty
| vlookup(X459,X460) != X461 )
& ( X460 = vbind(esk7_3(X459,X460,X461),esk6_3(X459,X460,X461),esk9_3(X459,X460,X461))
| esk3_3(X459,X460,X461) = esk4_3(X459,X460,X461)
| X460 = vempty
| vlookup(X459,X460) != X461 )
& ( esk8_3(X459,X460,X461) != esk7_3(X459,X460,X461)
| esk3_3(X459,X460,X461) = esk4_3(X459,X460,X461)
| X460 = vempty
| vlookup(X459,X460) != X461 )
& ( X461 = vlookup(esk8_3(X459,X460,X461),esk9_3(X459,X460,X461))
| esk3_3(X459,X460,X461) = esk4_3(X459,X460,X461)
| X460 = vempty
| vlookup(X459,X460) != X461 )
& ( X459 = esk8_3(X459,X460,X461)
| X461 = vsomeType(esk5_3(X459,X460,X461))
| X460 = vempty
| vlookup(X459,X460) != X461 )
& ( X460 = vbind(esk7_3(X459,X460,X461),esk6_3(X459,X460,X461),esk9_3(X459,X460,X461))
| X461 = vsomeType(esk5_3(X459,X460,X461))
| X460 = vempty
| vlookup(X459,X460) != X461 )
& ( esk8_3(X459,X460,X461) != esk7_3(X459,X460,X461)
| X461 = vsomeType(esk5_3(X459,X460,X461))
| X460 = vempty
| vlookup(X459,X460) != X461 )
& ( X461 = vlookup(esk8_3(X459,X460,X461),esk9_3(X459,X460,X461))
| X461 = vsomeType(esk5_3(X459,X460,X461))
| X460 = vempty
| vlookup(X459,X460) != X461 )
& ( X459 = esk8_3(X459,X460,X461)
| X459 = esk3_3(X459,X460,X461)
| X461 = vnoType
| vlookup(X459,X460) != X461 )
& ( X460 = vbind(esk7_3(X459,X460,X461),esk6_3(X459,X460,X461),esk9_3(X459,X460,X461))
| X459 = esk3_3(X459,X460,X461)
| X461 = vnoType
| vlookup(X459,X460) != X461 )
& ( esk8_3(X459,X460,X461) != esk7_3(X459,X460,X461)
| X459 = esk3_3(X459,X460,X461)
| X461 = vnoType
| vlookup(X459,X460) != X461 )
& ( X461 = vlookup(esk8_3(X459,X460,X461),esk9_3(X459,X460,X461))
| X459 = esk3_3(X459,X460,X461)
| X461 = vnoType
| vlookup(X459,X460) != X461 )
& ( X459 = esk8_3(X459,X460,X461)
| X460 = vbind(esk4_3(X459,X460,X461),esk5_3(X459,X460,X461),esk2_3(X459,X460,X461))
| X461 = vnoType
| vlookup(X459,X460) != X461 )
& ( X460 = vbind(esk7_3(X459,X460,X461),esk6_3(X459,X460,X461),esk9_3(X459,X460,X461))
| X460 = vbind(esk4_3(X459,X460,X461),esk5_3(X459,X460,X461),esk2_3(X459,X460,X461))
| X461 = vnoType
| vlookup(X459,X460) != X461 )
& ( esk8_3(X459,X460,X461) != esk7_3(X459,X460,X461)
| X460 = vbind(esk4_3(X459,X460,X461),esk5_3(X459,X460,X461),esk2_3(X459,X460,X461))
| X461 = vnoType
| vlookup(X459,X460) != X461 )
& ( X461 = vlookup(esk8_3(X459,X460,X461),esk9_3(X459,X460,X461))
| X460 = vbind(esk4_3(X459,X460,X461),esk5_3(X459,X460,X461),esk2_3(X459,X460,X461))
| X461 = vnoType
| vlookup(X459,X460) != X461 )
& ( X459 = esk8_3(X459,X460,X461)
| esk3_3(X459,X460,X461) = esk4_3(X459,X460,X461)
| X461 = vnoType
| vlookup(X459,X460) != X461 )
& ( X460 = vbind(esk7_3(X459,X460,X461),esk6_3(X459,X460,X461),esk9_3(X459,X460,X461))
| esk3_3(X459,X460,X461) = esk4_3(X459,X460,X461)
| X461 = vnoType
| vlookup(X459,X460) != X461 )
& ( esk8_3(X459,X460,X461) != esk7_3(X459,X460,X461)
| esk3_3(X459,X460,X461) = esk4_3(X459,X460,X461)
| X461 = vnoType
| vlookup(X459,X460) != X461 )
& ( X461 = vlookup(esk8_3(X459,X460,X461),esk9_3(X459,X460,X461))
| esk3_3(X459,X460,X461) = esk4_3(X459,X460,X461)
| X461 = vnoType
| vlookup(X459,X460) != X461 )
& ( X459 = esk8_3(X459,X460,X461)
| X461 = vsomeType(esk5_3(X459,X460,X461))
| X461 = vnoType
| vlookup(X459,X460) != X461 )
& ( X460 = vbind(esk7_3(X459,X460,X461),esk6_3(X459,X460,X461),esk9_3(X459,X460,X461))
| X461 = vsomeType(esk5_3(X459,X460,X461))
| X461 = vnoType
| vlookup(X459,X460) != X461 )
& ( esk8_3(X459,X460,X461) != esk7_3(X459,X460,X461)
| X461 = vsomeType(esk5_3(X459,X460,X461))
| X461 = vnoType
| vlookup(X459,X460) != X461 )
& ( X461 = vlookup(esk8_3(X459,X460,X461),esk9_3(X459,X460,X461))
| X461 = vsomeType(esk5_3(X459,X460,X461))
| X461 = vnoType
| vlookup(X459,X460) != X461 ) ),
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_92,plain,
! [X518,X519,X520,X521,X522,X523,X524,X525,X526,X527] :
( X518 != X522
| X519 != X523
| X520 != vabs(X525,X524,X527)
| X522 = X525
| ~ visFreeVar(X525,X523)
| X526 != vgensym(vapp(vapp(X523,X527),vvar(X522)))
| X521 != vsubst(X518,X519,X520)
| X521 = vsubst(X522,X523,vabs(X526,X524,vsubst(X525,vvar(X526),X527))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[subst4])]) ).
fof(i_0_93,plain,
! [X471,X472,X473,X474,X475,X476,X477] :
( X473 != X471
| ~ vtcheck(vbind(X473,X474,vbind(X471,X472,X475)),X476,X477)
| vtcheck(vbind(X473,X474,X475),X476,X477) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['T-Context-Duplicate'])]) ).
cnf(i_0_94,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_66]) ).
cnf(i_0_95,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_66]) ).
cnf(i_0_96,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_66]) ).
fof(i_0_97,plain,
! [X656,X657,X658,X659,X660,X661] :
( X656 != X659
| visFreeVar(X656,vabs(X659,X660,veabs))
| ~ vtcheck(X658,vabs(X659,X660,veabs),X661)
| vtcheck(vbind(X656,X657,X658),vabs(X659,X660,veabs),X661) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_67])]) ).
fof(i_0_98,plain,
! [X650,X651,X652,X653,X654,X655] :
( X650 = X653
| visFreeVar(X650,vabs(X653,X654,veabs))
| ~ vtcheck(X652,vabs(X653,X654,veabs),X655)
| vtcheck(vbind(X650,X651,X652),vabs(X653,X654,veabs),X655) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_68])]) ).
cnf(i_0_99,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_66]) ).
cnf(i_0_100,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_66]) ).
fof(i_0_101,plain,
! [X713,X714,X723,X724,X725] :
( ( X713 = vapp(esk78_2(X713,X714),esk80_2(X713,X714))
| X713 = vapp(vabs(esk73_2(X713,X714),esk74_2(X713,X714),esk75_2(X713,X714)),esk77_2(X713,X714))
| epred3_2(X714,X713)
| ~ epred4_2(X714,X713) )
& ( esk78_2(X713,X714) != vabs(X723,X724,X725)
| X713 = vapp(vabs(esk73_2(X713,X714),esk74_2(X713,X714),esk75_2(X713,X714)),esk77_2(X713,X714))
| epred3_2(X714,X713)
| ~ epred4_2(X714,X713) )
& ( esk79_2(X713,X714) = vreduce(esk78_2(X713,X714))
| X713 = vapp(vabs(esk73_2(X713,X714),esk74_2(X713,X714),esk75_2(X713,X714)),esk77_2(X713,X714))
| epred3_2(X714,X713)
| ~ epred4_2(X714,X713) )
& ( visSomeExp(esk79_2(X713,X714))
| X713 = vapp(vabs(esk73_2(X713,X714),esk74_2(X713,X714),esk75_2(X713,X714)),esk77_2(X713,X714))
| epred3_2(X714,X713)
| ~ epred4_2(X714,X713) )
& ( X714 = vsomeExp(vapp(vgetSomeExp(esk79_2(X713,X714)),esk80_2(X713,X714)))
| X713 = vapp(vabs(esk73_2(X713,X714),esk74_2(X713,X714),esk75_2(X713,X714)),esk77_2(X713,X714))
| epred3_2(X714,X713)
| ~ epred4_2(X714,X713) )
& ( X713 = vapp(esk78_2(X713,X714),esk80_2(X713,X714))
| esk76_2(X713,X714) = vreduce(esk77_2(X713,X714))
| epred3_2(X714,X713)
| ~ epred4_2(X714,X713) )
& ( esk78_2(X713,X714) != vabs(X723,X724,X725)
| esk76_2(X713,X714) = vreduce(esk77_2(X713,X714))
| epred3_2(X714,X713)
| ~ epred4_2(X714,X713) )
& ( esk79_2(X713,X714) = vreduce(esk78_2(X713,X714))
| esk76_2(X713,X714) = vreduce(esk77_2(X713,X714))
| epred3_2(X714,X713)
| ~ epred4_2(X714,X713) )
& ( visSomeExp(esk79_2(X713,X714))
| esk76_2(X713,X714) = vreduce(esk77_2(X713,X714))
| epred3_2(X714,X713)
| ~ epred4_2(X714,X713) )
& ( X714 = vsomeExp(vapp(vgetSomeExp(esk79_2(X713,X714)),esk80_2(X713,X714)))
| esk76_2(X713,X714) = vreduce(esk77_2(X713,X714))
| epred3_2(X714,X713)
| ~ epred4_2(X714,X713) )
& ( X713 = vapp(esk78_2(X713,X714),esk80_2(X713,X714))
| ~ visSomeExp(esk76_2(X713,X714))
| epred3_2(X714,X713)
| ~ epred4_2(X714,X713) )
& ( esk78_2(X713,X714) != vabs(X723,X724,X725)
| ~ visSomeExp(esk76_2(X713,X714))
| epred3_2(X714,X713)
| ~ epred4_2(X714,X713) )
& ( esk79_2(X713,X714) = vreduce(esk78_2(X713,X714))
| ~ visSomeExp(esk76_2(X713,X714))
| epred3_2(X714,X713)
| ~ epred4_2(X714,X713) )
& ( visSomeExp(esk79_2(X713,X714))
| ~ visSomeExp(esk76_2(X713,X714))
| epred3_2(X714,X713)
| ~ epred4_2(X714,X713) )
& ( X714 = vsomeExp(vapp(vgetSomeExp(esk79_2(X713,X714)),esk80_2(X713,X714)))
| ~ visSomeExp(esk76_2(X713,X714))
| epred3_2(X714,X713)
| ~ epred4_2(X714,X713) )
& ( X713 = vapp(esk78_2(X713,X714),esk80_2(X713,X714))
| ~ visValue(esk77_2(X713,X714))
| epred3_2(X714,X713)
| ~ epred4_2(X714,X713) )
& ( esk78_2(X713,X714) != vabs(X723,X724,X725)
| ~ visValue(esk77_2(X713,X714))
| epred3_2(X714,X713)
| ~ epred4_2(X714,X713) )
& ( esk79_2(X713,X714) = vreduce(esk78_2(X713,X714))
| ~ visValue(esk77_2(X713,X714))
| epred3_2(X714,X713)
| ~ epred4_2(X714,X713) )
& ( visSomeExp(esk79_2(X713,X714))
| ~ visValue(esk77_2(X713,X714))
| epred3_2(X714,X713)
| ~ epred4_2(X714,X713) )
& ( X714 = vsomeExp(vapp(vgetSomeExp(esk79_2(X713,X714)),esk80_2(X713,X714)))
| ~ visValue(esk77_2(X713,X714))
| epred3_2(X714,X713)
| ~ epred4_2(X714,X713) )
& ( X713 = vapp(esk78_2(X713,X714),esk80_2(X713,X714))
| X714 = vnoExp
| epred3_2(X714,X713)
| ~ epred4_2(X714,X713) )
& ( esk78_2(X713,X714) != vabs(X723,X724,X725)
| X714 = vnoExp
| epred3_2(X714,X713)
| ~ epred4_2(X714,X713) )
& ( esk79_2(X713,X714) = vreduce(esk78_2(X713,X714))
| X714 = vnoExp
| epred3_2(X714,X713)
| ~ epred4_2(X714,X713) )
& ( visSomeExp(esk79_2(X713,X714))
| X714 = vnoExp
| epred3_2(X714,X713)
| ~ epred4_2(X714,X713) )
& ( X714 = vsomeExp(vapp(vgetSomeExp(esk79_2(X713,X714)),esk80_2(X713,X714)))
| X714 = vnoExp
| epred3_2(X714,X713)
| ~ epred4_2(X714,X713) ) ),
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_69])])])])])]) ).
fof(i_0_102,plain,
! [X563,X564,X565,X566,X567,X568,X569] :
( X564 != vapp(vabs(X566,X567,X568),X563)
| X569 != vreduce(X563)
| ~ visSomeExp(X569)
| X565 != vreduce(X564)
| X565 = vsomeExp(vapp(vabs(X566,X567,X568),vgetSomeExp(X569))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[reduce2])]) ).
fof(i_0_103,plain,
! [X615,X616,X617,X618,X619] :
( ~ vtcheck(vbind(X616,X618,X615),X617,X619)
| vtcheck(X615,vabs(X616,X618,X617),varrow(X618,X619)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['T-abs'])]) ).
fof(i_0_104,negated_conjecture,
( ~ visFreeVar(esk32_0,vabs(esk35_0,esk36_0,veabs))
& 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_70])])]) ).
cnf(i_0_105,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_66]) ).
cnf(i_0_106,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_66]) ).
cnf(i_0_107,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_66]) ).
fof(i_0_108,plain,
! [X528,X529,X530,X531,X532,X533,X534,X535,X536] :
( X528 != X534
| X529 != X535
| X530 != vabs(X532,X533,X536)
| X534 = X532
| visFreeVar(X532,X535)
| X531 != vsubst(X528,X529,X530)
| X531 = vabs(X532,X533,vsubst(X534,X535,X536)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_71])]) ).
cnf(i_0_109,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_66]) ).
cnf(i_0_110,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_66]) ).
fof(i_0_111,plain,
! [X501,X502,X503,X504,X505,X506,X507,X508] :
( X501 != X506
| X502 != X507
| X503 != vapp(X505,X508)
| X504 != vsubst(X501,X502,X503)
| X504 = vapp(vsubst(X506,X507,X505),vsubst(X506,X507,X508)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[subst2])]) ).
cnf(i_0_112,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_66]) ).
fof(i_0_113,plain,
! [X570,X571,X572,X573,X574,X575,X576] :
( X572 != vapp(vabs(X574,X570,X576),X575)
| X571 != vreduce(X575)
| visSomeExp(X571)
| ~ visValue(X575)
| X573 != vreduce(X572)
| X573 = vsomeExp(vsubst(X574,X575,X576)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_72])]) ).
fof(i_0_114,plain,
! [X641,X642,X643,X644,X645] :
( visFreeVar(X641,X644)
| ~ vtcheck(vbind(X641,X642,X643),X644,X645)
| vtcheck(X643,X644,X645) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_73])]) ).
cnf(i_0_115,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_66]) ).
fof(i_0_116,plain,
! [X620,X621,X622,X623,X624] :
( ~ vtcheck(X621,X622,varrow(X620,X624))
| ~ vtcheck(X621,X623,X620)
| vtcheck(X621,vapp(X622,X623),X624) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['T-app'])]) ).
fof(i_0_117,plain,
! [X636,X637,X638,X639,X640] :
( vlookup(X636,X638) != vnoType
| ~ vtcheck(X638,X639,X640)
| vtcheck(vbind(X636,X637,X638),X639,X640) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['T-Weak'])]) ).
fof(i_0_118,plain,
! [X646,X647,X648,X649] :
( visFreeVar(X646,veabs)
| ~ vtcheck(X648,veabs,X649)
| vtcheck(vbind(X646,X647,X648),veabs,X649) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_74])]) ).
fof(i_0_119,plain,
! [X509,X510,X511,X512,X513,X514,X515,X516,X517] :
( X511 != X510
| X512 != X509
| X513 != vabs(X515,X516,X517)
| X510 != X515
| X514 != vsubst(X511,X512,X513)
| X514 = vabs(X515,X516,X517) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[subst3])]) ).
fof(i_0_120,plain,
! [X577,X578,X579,X580,X581,X582,X583] :
( X582 != vapp(vabs(X577,X578,X579),X581)
| X580 != vreduce(X581)
| visSomeExp(X580)
| visValue(X581)
| X583 != vreduce(X582)
| X583 = vnoExp ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_75])]) ).
fof(i_0_121,plain,
! [X423,X424,X425,X426,X427,X428] :
( ( X423 = X426
| vbind(X423,X424,X425) != vbind(X426,X427,X428) )
& ( X424 = X427
| vbind(X423,X424,X425) != vbind(X426,X427,X428) )
& ( X425 = X428
| vbind(X423,X424,X425) != vbind(X426,X427,X428) )
& ( X423 != X426
| X424 != X427
| X425 != X428
| vbind(X423,X424,X425) = vbind(X426,X427,X428) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['EQ-bind'])])]) ).
fof(i_0_122,plain,
! [X377,X378,X379,X380,X381,X382] :
( ( X377 = X380
| vabs(X377,X378,X379) != vabs(X380,X381,X382) )
& ( X378 = X381
| vabs(X377,X378,X379) != vabs(X380,X381,X382) )
& ( X379 = X382
| vabs(X377,X378,X379) != vabs(X380,X381,X382) )
& ( X377 != X380
| X378 != X381
| X379 != X382
| vabs(X377,X378,X379) = vabs(X380,X381,X382) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['EQ-abs'])])]) ).
fof(i_0_123,plain,
! [X452,X453,X454,X455,X456,X457,X458] :
( X454 != X457
| X455 != vbind(X453,X452,X458)
| X457 = X453
| X456 != vlookup(X454,X455)
| X456 = vlookup(X457,X458) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[lookup2])]) ).
fof(i_0_124,plain,
! [X600,X601,X605,X606,X607] :
( ( X600 = vapp(esk22_2(X600,X601),esk21_2(X600,X601))
| epred4_2(X601,X600)
| vreduce(X600) != X601 )
& ( esk22_2(X600,X601) != vabs(X605,X606,X607)
| epred4_2(X601,X600)
| vreduce(X600) != X601 )
& ( esk23_2(X600,X601) = vreduce(esk22_2(X600,X601))
| epred4_2(X601,X600)
| vreduce(X600) != X601 )
& ( ~ visSomeExp(esk23_2(X600,X601))
| epred4_2(X601,X600)
| vreduce(X600) != X601 )
& ( X601 = vnoExp
| epred4_2(X601,X600)
| vreduce(X600) != X601 ) ),
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_76])])])])])]) ).
fof(i_0_125,plain,
! [X412,X413,X414,X415,X416,X417] :
( ( X415 = X416
| ~ visFreeVar(X416,X417)
| visFreeVar(X413,X414)
| X413 != X416
| X414 != vabs(X415,X412,X417) )
& ( X415 != X416
| ~ visFreeVar(X413,X414)
| X413 != X416
| X414 != vabs(X415,X412,X417) )
& ( visFreeVar(X416,X417)
| ~ visFreeVar(X413,X414)
| X413 != X416
| X414 != vabs(X415,X412,X417) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[isFreeVar1])])]) ).
fof(i_0_126,plain,
! [X445,X446,X447,X448,X449,X450,X451] :
( X448 != X446
| X449 != vbind(X447,X451,X445)
| X446 != X447
| X450 != vlookup(X448,X449)
| X450 = vsomeType(X451) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[lookup1])]) ).
cnf(i_0_127,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_66]) ).
cnf(i_0_128,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_66]) ).
fof(i_0_129,plain,
! [X494,X495,X496,X497,X498,X499,X500] :
( X496 != X495
| X497 != X494
| X498 != vvar(X500)
| X495 = X500
| X499 != vsubst(X496,X497,X498)
| X499 = vvar(X500) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[subst1])]) ).
fof(i_0_130,plain,
! [X487,X488,X489,X490,X491,X492,X493] :
( X489 != X487
| X490 != X493
| X491 != vvar(X488)
| X487 != X488
| X492 != vsubst(X489,X490,X491)
| X492 = X493 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[subst0])]) ).
fof(i_0_131,plain,
! [X394,X395,X396,X397,X398] : vabs(X394,X395,X396) != vapp(X397,X398),
inference(variable_rename,[status(thm)],['DIFF-abs-app']) ).
cnf(i_0_132,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_66]) ).
cnf(i_0_133,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_66]) ).
cnf(i_0_134,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_66]) ).
fof(i_0_135,plain,
! [X558,X559,X560,X561,X562] :
( X561 != vabs(X558,X559,X560)
| X562 != vreduce(X561)
| X562 = vnoExp ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[reduce1])]) ).
fof(i_0_136,plain,
! [X387,X388,X389,X390] : vvar(X387) != vabs(X388,X389,X390),
inference(variable_rename,[status(thm)],['DIFF-var-abs']) ).
fof(i_0_137,plain,
! [X399,X400,X401,X402] :
( X402 != vabs(X399,X400,X401)
| visValue(X402) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[isValue0])]) ).
fof(i_0_138,plain,
! [X612,X613,X614] :
( vlookup(X613,X612) != vsomeType(X614)
| vtcheck(X612,vvar(X613),X614) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['T-var'])]) ).
fof(i_0_139,plain,
! [X431,X432,X433] : vempty != vbind(X431,X432,X433),
inference(variable_rename,[status(thm)],['DIFF-empty-bind']) ).
cnf(i_0_140,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_66]) ).
fof(i_0_141,plain,
! [X418,X419,X420,X421,X422] :
( ( ~ visFreeVar(X421,X420)
| visFreeVar(X418,X419)
| X418 != X421
| X419 != vapp(X420,X422) )
& ( ~ visFreeVar(X421,X422)
| visFreeVar(X418,X419)
| X418 != X421
| X419 != vapp(X420,X422) )
& ( ~ visFreeVar(X418,X419)
| visFreeVar(X421,X420)
| visFreeVar(X421,X422)
| X418 != X421
| X419 != vapp(X420,X422) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[isFreeVar2])])]) ).
fof(i_0_142,plain,
! [X608,X609,X610,X611] :
( ( X608 = X610
| varrow(X608,X609) != varrow(X610,X611) )
& ( X609 = X611
| varrow(X608,X609) != varrow(X610,X611) )
& ( X608 != X610
| X609 != X611
| varrow(X608,X609) = varrow(X610,X611) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['EQ-arrow'])])]) ).
fof(i_0_143,plain,
! [X383,X384,X385,X386] :
( ( X383 = X385
| vapp(X383,X384) != vapp(X385,X386) )
& ( X384 = X386
| vapp(X383,X384) != vapp(X385,X386) )
& ( X383 != X385
| X384 != X386
| vapp(X383,X384) = vapp(X385,X386) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['EQ-app'])])]) ).
fof(i_0_144,plain,
! [X408,X409,X410,X411] :
( ( X410 != X411
| visFreeVar(X408,X409)
| X408 != X411
| X409 != vvar(X410) )
& ( ~ visFreeVar(X408,X409)
| X410 = X411
| X408 != X411
| X409 != vvar(X410) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[isFreeVar0])])]) ).
fof(i_0_145,plain,
! [X441,X442,X443,X444] :
( X442 != X441
| X443 != vempty
| X444 != vlookup(X442,X443)
| X444 = vnoType ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[lookup0])]) ).
fof(i_0_146,plain,
! [X405,X406,X407] :
( X407 != vapp(X405,X406)
| ~ visValue(X407) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_77])]) ).
fof(i_0_147,plain,
! [X485,X486] :
( vgensym(X486) != X485
| ~ visFreeVar(X485,X486) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_78])]) ).
fof(i_0_148,plain,
! [X391,X392,X393] : vvar(X391) != vapp(X392,X393),
inference(variable_rename,[status(thm)],['DIFF-var-app']) ).
fof(i_0_149,plain,
! [X552,X553,X554] :
( X552 != vsomeExp(X554)
| X553 != vgetSomeExp(X552)
| X553 = X554 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[getSomeExp0])]) ).
fof(i_0_150,plain,
! [X438,X439,X440] :
( X438 != vsomeType(X440)
| X439 != vgetSomeType(X438)
| X439 = X440 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[getSomeType0])]) ).
fof(i_0_151,plain,
! [X555,X556,X557] :
( X556 != vvar(X555)
| X557 != vreduce(X556)
| X557 = vnoExp ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[reduce0])]) ).
fof(i_0_152,plain,
! [X403,X404] :
( X404 != vvar(X403)
| ~ visValue(X404) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_79])]) ).
fof(i_0_153,plain,
! [X546,X547] :
( ( vsomeExp(X546) != vsomeExp(X547)
| X546 = X547 )
& ( X546 != X547
| vsomeExp(X546) = vsomeExp(X547) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['EQ-someExp'])]) ).
fof(i_0_154,plain,
! [X429,X430] :
( ( vsomeType(X429) != vsomeType(X430)
| X429 = X430 )
& ( X429 != X430
| vsomeType(X429) = vsomeType(X430) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['EQ-someType'])]) ).
fof(i_0_155,plain,
! [X375,X376] :
( ( vvar(X375) != vvar(X376)
| X375 = X376 )
& ( X375 != X376
| vvar(X375) = vvar(X376) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['EQ-var'])]) ).
fof(i_0_156,plain,
! [X550,X551] :
( X551 != vsomeExp(X550)
| visSomeExp(X551) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[isSomeExp1])]) ).
fof(i_0_157,plain,
! [X436,X437] :
( X437 != vsomeType(X436)
| visSomeType(X437) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[isSomeType1])]) ).
fof(i_0_158,plain,
! [X549] :
( X549 != vnoExp
| ~ visSomeExp(X549) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_80])]) ).
fof(i_0_159,plain,
! [X435] :
( X435 != vnoType
| ~ visSomeType(X435) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_81])]) ).
fof(i_0_160,plain,
! [X548] : vnoExp != vsomeExp(X548),
inference(variable_rename,[status(thm)],['DIFF-noExp-someExp']) ).
fof(i_0_161,plain,
! [X434] : vnoType != vsomeType(X434),
inference(variable_rename,[status(thm)],['DIFF-noType-someType']) ).
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))))
| 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_82]),
[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))))
| 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_82]),
[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))))
| 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_82]),
[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))))
| 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_82]),
[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))))
| 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_82]),
[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))))
| 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_82]),
[final] ).
cnf(i_0_168,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_82]),
[final] ).
cnf(i_0_169,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_82]),
[final] ).
cnf(i_0_170,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_82]),
[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))))
| 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_82]),
[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))))
| 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_82]),
[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))))
| 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_82]),
[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))))
| 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_82]),
[final] ).
cnf(i_0_175,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_82]),
[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))))
| 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_82]),
[final] ).
cnf(i_0_177,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_82]),
[final] ).
cnf(i_0_178,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_82]),
[final] ).
cnf(i_0_179,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_82]),
[final] ).
cnf(i_0_180,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_82]),
[final] ).
cnf(i_0_181,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_82]),
[final] ).
cnf(i_0_182,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_82]),
[final] ).
cnf(i_0_183,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_82]),
[final] ).
cnf(i_0_184,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_82]),
[final] ).
cnf(i_0_185,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_82]),
[final] ).
cnf(i_0_186,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_82]),
[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))
| 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_82]),
[final] ).
cnf(i_0_188,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_82]),
[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))))
| 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_82]),
[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))))
| 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_82]),
[final] ).
cnf(i_0_191,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_82]),
[final] ).
cnf(i_0_192,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_82]),
[final] ).
cnf(i_0_193,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_82]),
[final] ).
cnf(i_0_194,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_82]),
[final] ).
cnf(i_0_195,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_82]),
[final] ).
cnf(i_0_196,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_82]),
[final] ).
cnf(i_0_197,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_82]),
[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))))
| 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_82]),
[final] ).
cnf(i_0_199,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_82]),
[final] ).
cnf(i_0_200,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_82]),
[final] ).
cnf(i_0_201,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_82]),
[final] ).
cnf(i_0_202,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_82]),
[final] ).
cnf(i_0_203,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_82]),
[final] ).
cnf(i_0_204,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_82]),
[final] ).
cnf(i_0_205,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_82]),
[final] ).
cnf(i_0_206,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_82]),
[final] ).
cnf(i_0_207,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_82]),
[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))))
| 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_82]),
[final] ).
cnf(i_0_209,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_82]),
[final] ).
cnf(i_0_210,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_82]),
[final] ).
cnf(i_0_211,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_82]),
[final] ).
cnf(i_0_212,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_82]),
[final] ).
cnf(i_0_213,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_82]),
[final] ).
cnf(i_0_214,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_82]),
[final] ).
cnf(i_0_215,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_82]),
[final] ).
cnf(i_0_216,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_82]),
[final] ).
cnf(i_0_217,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_82]),
[final] ).
cnf(i_0_218,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_82]),
[final] ).
cnf(i_0_219,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_82]),
[final] ).
cnf(i_0_220,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_82]),
[final] ).
cnf(i_0_221,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_82]),
[final] ).
cnf(i_0_222,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_82]),
[final] ).
cnf(i_0_223,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_83]),
[final] ).
cnf(i_0_224,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_82]),
[final] ).
cnf(i_0_225,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_82]),
[final] ).
cnf(i_0_226,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_82]),
[final] ).
cnf(i_0_227,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_82]),
[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))
| 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_82]),
[final] ).
cnf(i_0_229,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_82]),
[final] ).
cnf(i_0_230,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_84]),
[final] ).
cnf(i_0_231,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_82]),
[final] ).
cnf(i_0_232,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_82]),
[final] ).
cnf(i_0_233,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_82]),
[final] ).
cnf(i_0_234,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_82]),
[final] ).
cnf(i_0_235,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_82]),
[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))
| 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_82]),
[final] ).
cnf(i_0_237,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_82]),
[final] ).
cnf(i_0_238,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_82]),
[final] ).
cnf(i_0_239,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_82]),
[final] ).
cnf(i_0_240,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_82]),
[final] ).
cnf(i_0_241,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_82]),
[final] ).
cnf(i_0_242,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_82]),
[final] ).
cnf(i_0_243,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_82]),
[final] ).
cnf(i_0_244,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_82]),
[final] ).
cnf(i_0_245,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_82]),
[final] ).
cnf(i_0_246,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_82]),
[final] ).
cnf(i_0_247,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_82]),
[final] ).
cnf(i_0_248,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_82]),
[final] ).
cnf(i_0_249,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_82]),
[final] ).
cnf(i_0_250,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_82]),
[final] ).
cnf(i_0_251,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_82]),
[final] ).
cnf(i_0_252,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_82]),
[final] ).
cnf(i_0_253,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_82]),
[final] ).
cnf(i_0_254,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_82]),
[final] ).
cnf(i_0_255,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_82]),
[final] ).
cnf(i_0_256,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_82]),
[final] ).
cnf(i_0_257,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_82]),
[final] ).
cnf(i_0_258,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_82]),
[final] ).
cnf(i_0_259,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_82]),
[final] ).
cnf(i_0_260,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_82]),
[final] ).
cnf(i_0_261,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_82]),
[final] ).
cnf(i_0_262,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_82]),
[final] ).
cnf(i_0_263,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_82]),
[final] ).
cnf(i_0_264,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_82]),
[final] ).
cnf(i_0_265,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_82]),
[final] ).
cnf(i_0_266,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_82]),
[final] ).
cnf(i_0_267,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_82]),
[final] ).
cnf(i_0_268,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_82]),
[final] ).
cnf(i_0_269,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_82]),
[final] ).
cnf(i_0_270,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_82]),
[final] ).
cnf(i_0_271,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_82]),
[final] ).
cnf(i_0_272,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_82]),
[final] ).
cnf(i_0_273,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_82]),
[final] ).
cnf(i_0_274,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_82]),
[final] ).
cnf(i_0_275,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_82]),
[final] ).
cnf(i_0_276,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_82]),
[final] ).
cnf(i_0_277,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_82]),
[final] ).
cnf(i_0_278,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_82]),
[final] ).
cnf(i_0_279,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_82]),
[final] ).
cnf(i_0_280,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_82]),
[final] ).
cnf(i_0_281,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_82]),
[final] ).
cnf(i_0_282,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_82]),
[final] ).
cnf(i_0_283,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_82]),
[final] ).
cnf(i_0_284,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_82]),
[final] ).
cnf(i_0_285,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_82]),
[final] ).
cnf(i_0_286,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_82]),
[final] ).
cnf(i_0_287,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_82]),
[final] ).
cnf(i_0_288,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_82]),
[final] ).
cnf(i_0_289,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_82]),
[final] ).
cnf(i_0_290,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_82]),
[final] ).
cnf(i_0_291,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_82]),
[final] ).
cnf(i_0_292,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_84]),
[final] ).
cnf(i_0_293,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_84]),
[final] ).
cnf(i_0_294,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_85]),
[final] ).
cnf(i_0_295,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_85]),
[final] ).
cnf(i_0_296,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_82]),
[final] ).
cnf(i_0_297,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_82]),
[final] ).
cnf(i_0_298,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_82]),
[final] ).
cnf(i_0_299,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_82]),
[final] ).
cnf(i_0_300,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_86]),
[final] ).
cnf(i_0_301,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_85]),
[final] ).
cnf(i_0_302,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_85]),
[final] ).
cnf(i_0_303,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_85]),
[final] ).
cnf(i_0_304,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_87]),
[final] ).
cnf(i_0_305,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_87]),
[final] ).
cnf(i_0_306,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_85]),
[final] ).
cnf(i_0_307,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_85]),
[final] ).
cnf(i_0_308,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_82]),
[final] ).
cnf(i_0_309,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_82]),
[final] ).
cnf(i_0_310,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_82]),
[final] ).
cnf(i_0_311,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_82]),
[final] ).
cnf(i_0_312,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_82]),
[final] ).
cnf(i_0_313,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_82]),
[final] ).
cnf(i_0_314,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_82]),
[final] ).
cnf(i_0_315,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_82]),
[final] ).
cnf(i_0_316,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_85]),
[final] ).
cnf(i_0_317,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_85]),
[final] ).
cnf(i_0_318,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_87]),
[final] ).
cnf(i_0_319,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_87]),
[final] ).
cnf(i_0_320,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_87]),
[final] ).
cnf(i_0_321,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_87]),
[final] ).
cnf(i_0_322,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_66]),
[final] ).
cnf(i_0_323,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_85]),
[final] ).
cnf(i_0_324,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_85]),
[final] ).
cnf(i_0_325,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_85]),
[final] ).
cnf(i_0_326,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_85]),
[final] ).
cnf(i_0_327,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_85]),
[final] ).
cnf(i_0_328,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_85]),
[final] ).
cnf(i_0_329,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_85]),
[final] ).
cnf(i_0_330,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_85]),
[final] ).
cnf(i_0_331,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_66]),
[final] ).
cnf(i_0_332,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_85]),
[final] ).
cnf(i_0_333,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_85]),
[final] ).
cnf(i_0_334,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_66]),
[final] ).
cnf(i_0_335,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_84]),
[final] ).
cnf(i_0_336,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_66]),
[final] ).
cnf(i_0_337,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_66]),
[final] ).
cnf(i_0_338,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_88]),
[final] ).
cnf(i_0_339,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_66]),
[final] ).
cnf(i_0_340,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_87]),
[final] ).
cnf(i_0_341,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_87]),
[final] ).
cnf(i_0_342,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_89]),
[final] ).
cnf(i_0_343,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_90]),
[final] ).
cnf(i_0_344,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_66]),
[final] ).
cnf(i_0_345,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_66]),
[final] ).
cnf(i_0_346,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_66]),
[final] ).
cnf(i_0_347,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_85]),
[final] ).
cnf(i_0_348,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_85]),
[final] ).
cnf(i_0_349,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_85]),
[final] ).
cnf(i_0_350,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_85]),
[final] ).
cnf(i_0_351,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_85]),
[final] ).
cnf(i_0_352,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_85]),
[final] ).
cnf(i_0_353,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_66]),
[final] ).
cnf(i_0_354,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_66]),
[final] ).
cnf(i_0_355,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_66]),
[final] ).
cnf(i_0_356,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_87]),
[final] ).
cnf(i_0_357,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_87]),
[final] ).
cnf(i_0_358,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_87]),
[final] ).
cnf(i_0_359,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_91]),
[final] ).
cnf(i_0_360,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_87]),
[final] ).
cnf(i_0_361,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_87]),
[final] ).
cnf(i_0_362,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_87]),
[final] ).
cnf(i_0_363,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_66]),
[final] ).
cnf(i_0_364,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_91]),
[final] ).
cnf(i_0_365,plain,
( X1 = vbind(esk7_3(X2,X1,X3),esk6_3(X2,X1,X3),esk9_3(X2,X1,X3))
| X1 = vbind(esk4_3(X2,X1,X3),esk5_3(X2,X1,X3),esk2_3(X2,X1,X3))
| X3 = vnoType
| vlookup(X2,X1) != X3 ),
inference(split_conjunct,[status(thm)],[i_0_91]),
[final] ).
cnf(i_0_366,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_66]),
[final] ).
cnf(i_0_367,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_66]),
[final] ).
cnf(i_0_368,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_66]),
[final] ).
cnf(i_0_369,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_66]),
[final] ).
cnf(i_0_370,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_66]),
[final] ).
cnf(i_0_371,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_92]),
[final] ).
cnf(i_0_372,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_93]),
[final] ).
cnf(i_0_373,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_94]),
[final] ).
cnf(i_0_374,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_95]),
[final] ).
cnf(i_0_375,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_66]),
[final] ).
cnf(i_0_376,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_96]),
[final] ).
cnf(i_0_377,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_87]),
[final] ).
cnf(i_0_378,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_87]),
[final] ).
cnf(i_0_379,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_91]),
[final] ).
cnf(i_0_380,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_87]),
[final] ).
cnf(i_0_381,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_66]),
[final] ).
cnf(i_0_382,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_87]),
[final] ).
cnf(i_0_383,plain,
( visFreeVar(X1,vabs(X2,X3,veabs))
| vtcheck(vbind(X1,X6,X4),vabs(X2,X3,veabs),X5)
| X1 != X2
| ~ vtcheck(X4,vabs(X2,X3,veabs),X5) ),
inference(split_conjunct,[status(thm)],[i_0_97]),
[final] ).
cnf(i_0_384,plain,
( X1 = X2
| visFreeVar(X1,vabs(X2,X3,veabs))
| vtcheck(vbind(X1,X6,X4),vabs(X2,X3,veabs),X5)
| ~ vtcheck(X4,vabs(X2,X3,veabs),X5) ),
inference(split_conjunct,[status(thm)],[i_0_98]),
[final] ).
cnf(i_0_385,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_99]),
[final] ).
cnf(i_0_386,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_91]),
[final] ).
cnf(i_0_387,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_91]),
[final] ).
cnf(i_0_388,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_91]),
[final] ).
cnf(i_0_389,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_66]),
[final] ).
cnf(i_0_390,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_100]),
[final] ).
cnf(i_0_391,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_84]),
[final] ).
cnf(i_0_392,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_84]),
[final] ).
cnf(i_0_393,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_91]),
[final] ).
cnf(i_0_394,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_91]),
[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))
| X2 = esk1_3(X2,X1,X3)
| vlookup(X2,X1) != X3 ),
inference(split_conjunct,[status(thm)],[i_0_91]),
[final] ).
cnf(i_0_396,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_91]),
[final] ).
cnf(i_0_397,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_101]),
[final] ).
cnf(i_0_398,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_66]),
[final] ).
cnf(i_0_399,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_66]),
[final] ).
cnf(i_0_400,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_66]),
[final] ).
cnf(i_0_401,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_66]),
[final] ).
cnf(i_0_402,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_66]),
[final] ).
cnf(i_0_403,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_91]),
[final] ).
cnf(i_0_404,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_91]),
[final] ).
cnf(i_0_405,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_91]),
[final] ).
cnf(i_0_406,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_91]),
[final] ).
cnf(i_0_407,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_91]),
[final] ).
cnf(i_0_408,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_91]),
[final] ).
cnf(i_0_409,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_66]),
[final] ).
cnf(i_0_410,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_66]),
[final] ).
cnf(i_0_411,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_66]),
[final] ).
cnf(i_0_412,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_66]),
[final] ).
cnf(i_0_413,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_66]),
[final] ).
cnf(i_0_414,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_66]),
[final] ).
cnf(i_0_415,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_66]),
[final] ).
cnf(i_0_416,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_102]),
[final] ).
cnf(i_0_417,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_66]),
[final] ).
cnf(i_0_418,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_91]),
[final] ).
cnf(i_0_419,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_91]),
[final] ).
cnf(i_0_420,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_91]),
[final] ).
cnf(i_0_421,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_91]),
[final] ).
cnf(i_0_422,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_66]),
[final] ).
cnf(i_0_423,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_101]),
[final] ).
cnf(i_0_424,plain,
( vtcheck(X3,vabs(X1,X2,X4),varrow(X2,X5))
| ~ vtcheck(vbind(X1,X2,X3),X4,X5) ),
inference(split_conjunct,[status(thm)],[i_0_103]),
[final] ).
cnf(i_0_425,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_91]),
[final] ).
cnf(i_0_426,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_91]),
[final] ).
cnf(i_0_427,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_101]),
[final] ).
cnf(i_0_428,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_66]),
[final] ).
cnf(i_0_429,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_66]),
[final] ).
cnf(i_0_430,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_66]),
[final] ).
cnf(i_0_431,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_104]),
[final] ).
cnf(i_0_432,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_66]),
[final] ).
cnf(i_0_433,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_66]),
[final] ).
cnf(i_0_434,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_101]),
[final] ).
cnf(i_0_435,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_105]),
[final] ).
cnf(i_0_436,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_106]),
[final] ).
cnf(i_0_437,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_107]),
[final] ).
cnf(i_0_438,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_101]),
[final] ).
cnf(i_0_439,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_66]),
[final] ).
cnf(i_0_440,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_91]),
[final] ).
cnf(i_0_441,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_91]),
[final] ).
cnf(i_0_442,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_91]),
[final] ).
cnf(i_0_443,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_91]),
[final] ).
cnf(i_0_444,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_91]),
[final] ).
cnf(i_0_445,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_91]),
[final] ).
cnf(i_0_446,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_108]),
[final] ).
cnf(i_0_447,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_91]),
[final] ).
cnf(i_0_448,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_109]),
[final] ).
cnf(i_0_449,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_110]),
[final] ).
cnf(i_0_450,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_66]),
[final] ).
cnf(i_0_451,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_111]),
[final] ).
cnf(i_0_452,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_112]),
[final] ).
cnf(i_0_453,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_113]),
[final] ).
cnf(i_0_454,plain,
( visFreeVar(X1,X2)
| vtcheck(X4,X2,X5)
| ~ vtcheck(vbind(X1,X3,X4),X2,X5) ),
inference(split_conjunct,[status(thm)],[i_0_114]),
[final] ).
cnf(i_0_455,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_115]),
[final] ).
cnf(i_0_456,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_91]),
[final] ).
cnf(i_0_457,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_91]),
[final] ).
cnf(i_0_458,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_91]),
[final] ).
cnf(i_0_459,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_91]),
[final] ).
cnf(i_0_460,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_91]),
[final] ).
cnf(i_0_461,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_91]),
[final] ).
cnf(i_0_462,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_91]),
[final] ).
cnf(i_0_463,plain,
( vtcheck(X1,vapp(X2,X5),X4)
| ~ vtcheck(X1,X2,varrow(X3,X4))
| ~ vtcheck(X1,X5,X3) ),
inference(split_conjunct,[status(thm)],[i_0_116]),
[final] ).
cnf(i_0_464,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_101]),
[final] ).
cnf(i_0_465,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_101]),
[final] ).
cnf(i_0_466,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_101]),
[final] ).
cnf(i_0_467,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_66]),
[final] ).
cnf(i_0_468,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_66]),
[final] ).
cnf(i_0_469,plain,
( vtcheck(vbind(X1,X5,X2),X3,X4)
| vlookup(X1,X2) != vnoType
| ~ vtcheck(X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[i_0_117]),
[final] ).
cnf(i_0_470,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_66]),
[final] ).
cnf(i_0_471,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_66]),
[final] ).
cnf(i_0_472,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_66]),
[final] ).
cnf(i_0_473,plain,
( visFreeVar(X1,veabs)
| vtcheck(vbind(X1,X4,X2),veabs,X3)
| ~ vtcheck(X2,veabs,X3) ),
inference(split_conjunct,[status(thm)],[i_0_118]),
[final] ).
cnf(i_0_474,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_91]),
[final] ).
cnf(i_0_475,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_91]),
[final] ).
cnf(i_0_476,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_66]),
[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))
| X1 = vvar(esk59_2(X1,X2))
| ~ epred3_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_66]),
[final] ).
cnf(i_0_478,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_91]),
[final] ).
cnf(i_0_479,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_66]),
[final] ).
cnf(i_0_480,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_91]),
[final] ).
cnf(i_0_481,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_119]),
[final] ).
cnf(i_0_482,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_101]),
[final] ).
cnf(i_0_483,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_66]),
[final] ).
cnf(i_0_484,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_66]),
[final] ).
cnf(i_0_485,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_66]),
[final] ).
cnf(i_0_486,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_120]),
[final] ).
cnf(i_0_487,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_66]),
[final] ).
cnf(i_0_488,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_91]),
[final] ).
cnf(i_0_489,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_91]),
[final] ).
cnf(i_0_490,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_101]),
[final] ).
cnf(i_0_491,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_101]),
[final] ).
cnf(i_0_492,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_91]),
[final] ).
cnf(i_0_493,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_91]),
[final] ).
cnf(i_0_494,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_91]),
[final] ).
cnf(i_0_495,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_101]),
[final] ).
cnf(i_0_496,negated_conjecture,
~ visFreeVar(esk32_0,vabs(esk35_0,esk36_0,veabs)),
inference(split_conjunct,[status(thm)],[i_0_104]),
[final] ).
cnf(i_0_497,plain,
( X1 = X2
| vbind(X1,X3,X4) != vbind(X2,X5,X6) ),
inference(split_conjunct,[status(thm)],[i_0_121]),
[final] ).
cnf(i_0_498,plain,
( X1 = X2
| vbind(X3,X1,X4) != vbind(X5,X2,X6) ),
inference(split_conjunct,[status(thm)],[i_0_121]),
[final] ).
cnf(i_0_499,plain,
( X1 = X2
| vbind(X3,X4,X1) != vbind(X5,X6,X2) ),
inference(split_conjunct,[status(thm)],[i_0_121]),
[final] ).
cnf(i_0_500,plain,
( X1 = X2
| vabs(X1,X3,X4) != vabs(X2,X5,X6) ),
inference(split_conjunct,[status(thm)],[i_0_122]),
[final] ).
cnf(i_0_501,plain,
( X1 = X2
| vabs(X3,X1,X4) != vabs(X5,X2,X6) ),
inference(split_conjunct,[status(thm)],[i_0_122]),
[final] ).
cnf(i_0_502,plain,
( X1 = X2
| vabs(X3,X4,X1) != vabs(X5,X6,X2) ),
inference(split_conjunct,[status(thm)],[i_0_122]),
[final] ).
cnf(i_0_503,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_101]),
[final] ).
cnf(i_0_504,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_101]),
[final] ).
cnf(i_0_505,negated_conjecture,
vtcheck(esk34_0,vabs(esk35_0,esk36_0,veabs),esk37_0),
inference(split_conjunct,[status(thm)],[i_0_104]),
[final] ).
cnf(i_0_506,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_101]),
[final] ).
cnf(i_0_507,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_66]),
[final] ).
cnf(i_0_508,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_101]),
[final] ).
cnf(i_0_509,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_66]),
[final] ).
cnf(i_0_510,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_91]),
[final] ).
cnf(i_0_511,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_91]),
[final] ).
cnf(i_0_512,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_66]),
[final] ).
cnf(i_0_513,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_123]),
[final] ).
cnf(i_0_514,plain,
( epred4_2(X2,X1)
| esk22_2(X1,X2) != vabs(X3,X4,X5)
| vreduce(X1) != X2 ),
inference(split_conjunct,[status(thm)],[i_0_124]),
[final] ).
cnf(i_0_515,plain,
( X1 = X2
| visFreeVar(X4,X5)
| ~ visFreeVar(X2,X3)
| X4 != X2
| X5 != vabs(X1,X6,X3) ),
inference(split_conjunct,[status(thm)],[i_0_125]),
[final] ).
cnf(i_0_516,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_66]),
[final] ).
cnf(i_0_517,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_66]),
[final] ).
cnf(i_0_518,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_101]),
[final] ).
cnf(i_0_519,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_101]),
[final] ).
cnf(i_0_520,plain,
( visFreeVar(X1,X2)
| ~ visFreeVar(X3,X4)
| X3 != X1
| X4 != vabs(X5,X6,X2) ),
inference(split_conjunct,[status(thm)],[i_0_125]),
[final] ).
cnf(i_0_521,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_101]),
[final] ).
cnf(i_0_522,plain,
( X7 = vsomeType(X5)
| X1 != X2
| X3 != vbind(X4,X5,X6)
| X2 != X4
| X7 != vlookup(X1,X3) ),
inference(split_conjunct,[status(thm)],[i_0_126]),
[final] ).
cnf(i_0_523,plain,
( X1 != X2
| ~ visFreeVar(X3,X4)
| X3 != X2
| X4 != vabs(X1,X5,X6) ),
inference(split_conjunct,[status(thm)],[i_0_125]),
[final] ).
cnf(i_0_524,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_66]),
[final] ).
cnf(i_0_525,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_127]),
[final] ).
cnf(i_0_526,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_101]),
[final] ).
cnf(i_0_527,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_101]),
[final] ).
cnf(i_0_528,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_128]),
[final] ).
cnf(i_0_529,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_101]),
[final] ).
cnf(i_0_530,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_129]),
[final] ).
cnf(i_0_531,plain,
( X7 = X4
| X1 != X2
| X3 != X4
| X5 != vvar(X6)
| X2 != X6
| X7 != vsubst(X1,X3,X5) ),
inference(split_conjunct,[status(thm)],[i_0_130]),
[final] ).
cnf(i_0_532,plain,
vabs(X1,X2,X3) != vapp(X4,X5),
inference(split_conjunct,[status(thm)],[i_0_131]),
[final] ).
cnf(i_0_533,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_101]),
[final] ).
cnf(i_0_534,plain,
( X2 = vnoExp
| visSomeExp(esk67_2(X1,X2))
| ~ epred3_2(X2,X1)
| ~ visSomeExp(esk69_2(X1,X2)) ),
inference(cn,[status(thm)],[i_0_132]),
[final] ).
cnf(i_0_535,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_133]),
[final] ).
cnf(i_0_536,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_134]),
[final] ).
cnf(i_0_537,plain,
( X5 = vnoExp
| X1 != vabs(X2,X3,X4)
| X5 != vreduce(X1) ),
inference(split_conjunct,[status(thm)],[i_0_135]),
[final] ).
cnf(i_0_538,plain,
vvar(X1) != vabs(X2,X3,X4),
inference(split_conjunct,[status(thm)],[i_0_136]),
[final] ).
cnf(i_0_539,plain,
( visValue(X1)
| X1 != vabs(X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[i_0_137]),
[final] ).
cnf(i_0_540,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_124]),
[final] ).
cnf(i_0_541,plain,
( vtcheck(X2,vvar(X1),X3)
| vlookup(X1,X2) != vsomeType(X3) ),
inference(split_conjunct,[status(thm)],[i_0_138]),
[final] ).
cnf(i_0_542,plain,
vempty != vbind(X1,X2,X3),
inference(split_conjunct,[status(thm)],[i_0_139]),
[final] ).
cnf(i_0_543,plain,
( X2 = vnoExp
| visValue(esk71_2(X1,X2))
| visSomeExp(esk67_2(X1,X2))
| ~ epred3_2(X2,X1) ),
inference(cn,[status(thm)],[i_0_140]),
[final] ).
cnf(i_0_544,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_101]),
[final] ).
cnf(i_0_545,plain,
( visFreeVar(X3,X4)
| visFreeVar(X3,X5)
| ~ visFreeVar(X1,X2)
| X1 != X3
| X2 != vapp(X4,X5) ),
inference(split_conjunct,[status(thm)],[i_0_141]),
[final] ).
cnf(i_0_546,plain,
( epred4_2(X2,X1)
| ~ visSomeExp(esk23_2(X1,X2))
| vreduce(X1) != X2 ),
inference(split_conjunct,[status(thm)],[i_0_124]),
[final] ).
cnf(i_0_547,plain,
( visSomeExp(esk79_2(X1,X2))
| X2 = vnoExp
| epred3_2(X2,X1)
| ~ epred4_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_101]),
[final] ).
cnf(i_0_548,plain,
( esk23_2(X1,X2) = vreduce(esk22_2(X1,X2))
| epred4_2(X2,X1)
| vreduce(X1) != X2 ),
inference(split_conjunct,[status(thm)],[i_0_124]),
[final] ).
cnf(i_0_549,plain,
( visFreeVar(X3,X4)
| ~ visFreeVar(X1,X2)
| X3 != X1
| X4 != vapp(X2,X5) ),
inference(split_conjunct,[status(thm)],[i_0_141]),
[final] ).
cnf(i_0_550,plain,
( visFreeVar(X3,X4)
| ~ visFreeVar(X1,X2)
| X3 != X1
| X4 != vapp(X5,X2) ),
inference(split_conjunct,[status(thm)],[i_0_141]),
[final] ).
cnf(i_0_551,plain,
( X1 = X2
| varrow(X1,X3) != varrow(X2,X4) ),
inference(split_conjunct,[status(thm)],[i_0_142]),
[final] ).
cnf(i_0_552,plain,
( X1 = X2
| varrow(X3,X1) != varrow(X4,X2) ),
inference(split_conjunct,[status(thm)],[i_0_142]),
[final] ).
cnf(i_0_553,plain,
( X1 = X2
| vapp(X1,X3) != vapp(X2,X4) ),
inference(split_conjunct,[status(thm)],[i_0_143]),
[final] ).
cnf(i_0_554,plain,
( X1 = X2
| vapp(X3,X1) != vapp(X4,X2) ),
inference(split_conjunct,[status(thm)],[i_0_143]),
[final] ).
cnf(i_0_555,plain,
( X3 = X4
| ~ visFreeVar(X1,X2)
| X1 != X4
| X2 != vvar(X3) ),
inference(split_conjunct,[status(thm)],[i_0_144]),
[final] ).
cnf(i_0_556,plain,
( X4 = vnoType
| X1 != X2
| X3 != vempty
| X4 != vlookup(X1,X3) ),
inference(split_conjunct,[status(thm)],[i_0_145]),
[final] ).
cnf(i_0_557,plain,
( X1 != vapp(X2,X3)
| ~ visValue(X1) ),
inference(split_conjunct,[status(thm)],[i_0_146]),
[final] ).
cnf(i_0_558,plain,
( vgensym(X1) != X2
| ~ visFreeVar(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_147]),
[final] ).
cnf(i_0_559,plain,
( visFreeVar(X3,X4)
| X1 != X2
| X3 != X2
| X4 != vvar(X1) ),
inference(split_conjunct,[status(thm)],[i_0_144]),
[final] ).
cnf(i_0_560,plain,
vvar(X1) != vapp(X2,X3),
inference(split_conjunct,[status(thm)],[i_0_148]),
[final] ).
cnf(i_0_561,plain,
( X1 = vnoExp
| epred4_2(X1,X2)
| vreduce(X2) != X1 ),
inference(split_conjunct,[status(thm)],[i_0_124]),
[final] ).
cnf(i_0_562,plain,
( X3 = X2
| X1 != vsomeExp(X2)
| X3 != vgetSomeExp(X1) ),
inference(split_conjunct,[status(thm)],[i_0_149]),
[final] ).
cnf(i_0_563,plain,
( X3 = X2
| X1 != vsomeType(X2)
| X3 != vgetSomeType(X1) ),
inference(split_conjunct,[status(thm)],[i_0_150]),
[final] ).
cnf(i_0_564,plain,
( X3 = vnoExp
| X1 != vvar(X2)
| X3 != vreduce(X1) ),
inference(split_conjunct,[status(thm)],[i_0_151]),
[final] ).
cnf(i_0_565,plain,
( X1 != vvar(X2)
| ~ visValue(X1) ),
inference(split_conjunct,[status(thm)],[i_0_152]),
[final] ).
cnf(i_0_566,plain,
( X1 = X2
| vsomeExp(X1) != vsomeExp(X2) ),
inference(split_conjunct,[status(thm)],[i_0_153]),
[final] ).
cnf(i_0_567,plain,
( X1 = X2
| vsomeType(X1) != vsomeType(X2) ),
inference(split_conjunct,[status(thm)],[i_0_154]),
[final] ).
cnf(i_0_568,plain,
( X1 = X2
| vvar(X1) != vvar(X2) ),
inference(split_conjunct,[status(thm)],[i_0_155]),
[final] ).
cnf(i_0_569,plain,
( visSomeExp(X1)
| X1 != vsomeExp(X2) ),
inference(split_conjunct,[status(thm)],[i_0_156]),
[final] ).
cnf(i_0_570,plain,
( visSomeType(X1)
| X1 != vsomeType(X2) ),
inference(split_conjunct,[status(thm)],[i_0_157]),
[final] ).
cnf(i_0_571,plain,
( X1 != vnoExp
| ~ visSomeExp(X1) ),
inference(split_conjunct,[status(thm)],[i_0_158]),
[final] ).
cnf(i_0_572,plain,
( X1 != vnoType
| ~ visSomeType(X1) ),
inference(split_conjunct,[status(thm)],[i_0_159]),
[final] ).
cnf(i_0_573,plain,
vnoExp != vsomeExp(X1),
inference(split_conjunct,[status(thm)],[i_0_160]),
[final] ).
cnf(i_0_574,plain,
vnoType != vsomeType(X1),
inference(split_conjunct,[status(thm)],[i_0_161]),
[final] ).
cnf(i_0_575,axiom,
X1 = X1 ).
cnf(i_0_576,axiom,
( X1 = X2
| X2 != X1 ) ).
cnf(i_0_577,axiom,
( X1 = X2
| X1 != X3
| X3 != X2 ) ).
cnf(i_0_578,axiom,
( X1 != X2
| vsubst(X1,X3,X4) = vsubst(X2,X3,X4) ) ).
cnf(i_0_579,axiom,
( X1 != X2
| vsubst(X3,X1,X4) = vsubst(X3,X2,X4) ) ).
cnf(i_0_580,axiom,
( X1 != X2
| vsubst(X3,X4,X1) = vsubst(X3,X4,X2) ) ).
cnf(i_0_581,axiom,
( X1 != X2
| esk50_4(X1,X3,X4,X5) = esk50_4(X2,X3,X4,X5) ) ).
cnf(i_0_582,axiom,
( X1 != X2
| esk50_4(X3,X1,X4,X5) = esk50_4(X3,X2,X4,X5) ) ).
cnf(i_0_583,axiom,
( X1 != X2
| esk50_4(X3,X4,X1,X5) = esk50_4(X3,X4,X2,X5) ) ).
cnf(i_0_584,axiom,
( X1 != X2
| esk50_4(X3,X4,X5,X1) = esk50_4(X3,X4,X5,X2) ) ).
cnf(i_0_585,axiom,
( X1 != X2
| vapp(X1,X3) = vapp(X2,X3) ) ).
cnf(i_0_586,axiom,
( X1 != X2
| vapp(X3,X1) = vapp(X3,X2) ) ).
cnf(i_0_587,axiom,
( X1 != X2
| esk45_4(X1,X3,X4,X5) = esk45_4(X2,X3,X4,X5) ) ).
cnf(i_0_588,axiom,
( X1 != X2
| esk45_4(X3,X1,X4,X5) = esk45_4(X3,X2,X4,X5) ) ).
cnf(i_0_589,axiom,
( X1 != X2
| esk45_4(X3,X4,X1,X5) = esk45_4(X3,X4,X2,X5) ) ).
cnf(i_0_590,axiom,
( X1 != X2
| esk45_4(X3,X4,X5,X1) = esk45_4(X3,X4,X5,X2) ) ).
cnf(i_0_591,axiom,
( X1 != X2
| esk46_4(X1,X3,X4,X5) = esk46_4(X2,X3,X4,X5) ) ).
cnf(i_0_592,axiom,
( X1 != X2
| esk46_4(X3,X1,X4,X5) = esk46_4(X3,X2,X4,X5) ) ).
cnf(i_0_593,axiom,
( X1 != X2
| esk46_4(X3,X4,X1,X5) = esk46_4(X3,X4,X2,X5) ) ).
cnf(i_0_594,axiom,
( X1 != X2
| esk46_4(X3,X4,X5,X1) = esk46_4(X3,X4,X5,X2) ) ).
cnf(i_0_595,axiom,
( X1 != X2
| esk49_4(X1,X3,X4,X5) = esk49_4(X2,X3,X4,X5) ) ).
cnf(i_0_596,axiom,
( X1 != X2
| esk49_4(X3,X1,X4,X5) = esk49_4(X3,X2,X4,X5) ) ).
cnf(i_0_597,axiom,
( X1 != X2
| esk49_4(X3,X4,X1,X5) = esk49_4(X3,X4,X2,X5) ) ).
cnf(i_0_598,axiom,
( X1 != X2
| esk49_4(X3,X4,X5,X1) = esk49_4(X3,X4,X5,X2) ) ).
cnf(i_0_599,axiom,
( X1 != X2
| esk48_4(X1,X3,X4,X5) = esk48_4(X2,X3,X4,X5) ) ).
cnf(i_0_600,axiom,
( X1 != X2
| esk48_4(X3,X1,X4,X5) = esk48_4(X3,X2,X4,X5) ) ).
cnf(i_0_601,axiom,
( X1 != X2
| esk48_4(X3,X4,X1,X5) = esk48_4(X3,X4,X2,X5) ) ).
cnf(i_0_602,axiom,
( X1 != X2
| esk48_4(X3,X4,X5,X1) = esk48_4(X3,X4,X5,X2) ) ).
cnf(i_0_603,axiom,
( X1 != X2
| esk53_4(X1,X3,X4,X5) = esk53_4(X2,X3,X4,X5) ) ).
cnf(i_0_604,axiom,
( X1 != X2
| esk53_4(X3,X1,X4,X5) = esk53_4(X3,X2,X4,X5) ) ).
cnf(i_0_605,axiom,
( X1 != X2
| esk53_4(X3,X4,X1,X5) = esk53_4(X3,X4,X2,X5) ) ).
cnf(i_0_606,axiom,
( X1 != X2
| esk53_4(X3,X4,X5,X1) = esk53_4(X3,X4,X5,X2) ) ).
cnf(i_0_607,axiom,
( X1 != X2
| vgensym(X1) = vgensym(X2) ) ).
cnf(i_0_608,axiom,
( X1 != X2
| vsomeExp(X1) = vsomeExp(X2) ) ).
cnf(i_0_609,axiom,
( X1 != X2
| vgetSomeExp(X1) = vgetSomeExp(X2) ) ).
cnf(i_0_610,axiom,
( X1 != X2
| vreduce(X1) = vreduce(X2) ) ).
cnf(i_0_611,axiom,
( X1 != X2
| esk10_4(X1,X3,X4,X5) = esk10_4(X2,X3,X4,X5) ) ).
cnf(i_0_612,axiom,
( X1 != X2
| esk10_4(X3,X1,X4,X5) = esk10_4(X3,X2,X4,X5) ) ).
cnf(i_0_613,axiom,
( X1 != X2
| esk10_4(X3,X4,X1,X5) = esk10_4(X3,X4,X2,X5) ) ).
cnf(i_0_614,axiom,
( X1 != X2
| esk10_4(X3,X4,X5,X1) = esk10_4(X3,X4,X5,X2) ) ).
cnf(i_0_615,axiom,
( X1 != X2
| esk12_4(X1,X3,X4,X5) = esk12_4(X2,X3,X4,X5) ) ).
cnf(i_0_616,axiom,
( X1 != X2
| esk12_4(X3,X1,X4,X5) = esk12_4(X3,X2,X4,X5) ) ).
cnf(i_0_617,axiom,
( X1 != X2
| esk12_4(X3,X4,X1,X5) = esk12_4(X3,X4,X2,X5) ) ).
cnf(i_0_618,axiom,
( X1 != X2
| esk12_4(X3,X4,X5,X1) = esk12_4(X3,X4,X5,X2) ) ).
cnf(i_0_619,axiom,
( X1 != X2
| esk54_4(X1,X3,X4,X5) = esk54_4(X2,X3,X4,X5) ) ).
cnf(i_0_620,axiom,
( X1 != X2
| esk54_4(X3,X1,X4,X5) = esk54_4(X3,X2,X4,X5) ) ).
cnf(i_0_621,axiom,
( X1 != X2
| esk54_4(X3,X4,X1,X5) = esk54_4(X3,X4,X2,X5) ) ).
cnf(i_0_622,axiom,
( X1 != X2
| esk54_4(X3,X4,X5,X1) = esk54_4(X3,X4,X5,X2) ) ).
cnf(i_0_623,axiom,
( X1 != X2
| esk13_4(X1,X3,X4,X5) = esk13_4(X2,X3,X4,X5) ) ).
cnf(i_0_624,axiom,
( X1 != X2
| esk13_4(X3,X1,X4,X5) = esk13_4(X3,X2,X4,X5) ) ).
cnf(i_0_625,axiom,
( X1 != X2
| esk13_4(X3,X4,X1,X5) = esk13_4(X3,X4,X2,X5) ) ).
cnf(i_0_626,axiom,
( X1 != X2
| esk13_4(X3,X4,X5,X1) = esk13_4(X3,X4,X5,X2) ) ).
cnf(i_0_627,axiom,
( X1 != X2
| esk39_4(X1,X3,X4,X5) = esk39_4(X2,X3,X4,X5) ) ).
cnf(i_0_628,axiom,
( X1 != X2
| esk39_4(X3,X1,X4,X5) = esk39_4(X3,X2,X4,X5) ) ).
cnf(i_0_629,axiom,
( X1 != X2
| esk39_4(X3,X4,X1,X5) = esk39_4(X3,X4,X2,X5) ) ).
cnf(i_0_630,axiom,
( X1 != X2
| esk39_4(X3,X4,X5,X1) = esk39_4(X3,X4,X5,X2) ) ).
cnf(i_0_631,axiom,
( X1 != X2
| esk42_4(X1,X3,X4,X5) = esk42_4(X2,X3,X4,X5) ) ).
cnf(i_0_632,axiom,
( X1 != X2
| esk42_4(X3,X1,X4,X5) = esk42_4(X3,X2,X4,X5) ) ).
cnf(i_0_633,axiom,
( X1 != X2
| esk42_4(X3,X4,X1,X5) = esk42_4(X3,X4,X2,X5) ) ).
cnf(i_0_634,axiom,
( X1 != X2
| esk42_4(X3,X4,X5,X1) = esk42_4(X3,X4,X5,X2) ) ).
cnf(i_0_635,axiom,
( X1 != X2
| esk43_4(X1,X3,X4,X5) = esk43_4(X2,X3,X4,X5) ) ).
cnf(i_0_636,axiom,
( X1 != X2
| esk43_4(X3,X1,X4,X5) = esk43_4(X3,X2,X4,X5) ) ).
cnf(i_0_637,axiom,
( X1 != X2
| esk43_4(X3,X4,X1,X5) = esk43_4(X3,X4,X2,X5) ) ).
cnf(i_0_638,axiom,
( X1 != X2
| esk43_4(X3,X4,X5,X1) = esk43_4(X3,X4,X5,X2) ) ).
cnf(i_0_639,axiom,
( X1 != X2
| esk38_4(X1,X3,X4,X5) = esk38_4(X2,X3,X4,X5) ) ).
cnf(i_0_640,axiom,
( X1 != X2
| esk38_4(X3,X1,X4,X5) = esk38_4(X3,X2,X4,X5) ) ).
cnf(i_0_641,axiom,
( X1 != X2
| esk38_4(X3,X4,X1,X5) = esk38_4(X3,X4,X2,X5) ) ).
cnf(i_0_642,axiom,
( X1 != X2
| esk38_4(X3,X4,X5,X1) = esk38_4(X3,X4,X5,X2) ) ).
cnf(i_0_643,axiom,
( X1 != X2
| esk40_4(X1,X3,X4,X5) = esk40_4(X2,X3,X4,X5) ) ).
cnf(i_0_644,axiom,
( X1 != X2
| esk40_4(X3,X1,X4,X5) = esk40_4(X3,X2,X4,X5) ) ).
cnf(i_0_645,axiom,
( X1 != X2
| esk40_4(X3,X4,X1,X5) = esk40_4(X3,X4,X2,X5) ) ).
cnf(i_0_646,axiom,
( X1 != X2
| esk40_4(X3,X4,X5,X1) = esk40_4(X3,X4,X5,X2) ) ).
cnf(i_0_647,axiom,
( X1 != X2
| vabs(X1,X3,X4) = vabs(X2,X3,X4) ) ).
cnf(i_0_648,axiom,
( X1 != X2
| vabs(X3,X1,X4) = vabs(X3,X2,X4) ) ).
cnf(i_0_649,axiom,
( X1 != X2
| vabs(X3,X4,X1) = vabs(X3,X4,X2) ) ).
cnf(i_0_650,axiom,
( X1 != X2
| varrow(X1,X3) = varrow(X2,X3) ) ).
cnf(i_0_651,axiom,
( X1 != X2
| varrow(X3,X1) = varrow(X3,X2) ) ).
cnf(i_0_652,axiom,
( X1 != X2
| vbind(X1,X3,X4) = vbind(X2,X3,X4) ) ).
cnf(i_0_653,axiom,
( X1 != X2
| vbind(X3,X1,X4) = vbind(X3,X2,X4) ) ).
cnf(i_0_654,axiom,
( X1 != X2
| vbind(X3,X4,X1) = vbind(X3,X4,X2) ) ).
cnf(i_0_655,axiom,
( X1 != X2
| vlookup(X1,X3) = vlookup(X2,X3) ) ).
cnf(i_0_656,axiom,
( X1 != X2
| vlookup(X3,X1) = vlookup(X3,X2) ) ).
cnf(i_0_657,axiom,
( X1 != X2
| esk57_4(X1,X3,X4,X5) = esk57_4(X2,X3,X4,X5) ) ).
cnf(i_0_658,axiom,
( X1 != X2
| esk57_4(X3,X1,X4,X5) = esk57_4(X3,X2,X4,X5) ) ).
cnf(i_0_659,axiom,
( X1 != X2
| esk57_4(X3,X4,X1,X5) = esk57_4(X3,X4,X2,X5) ) ).
cnf(i_0_660,axiom,
( X1 != X2
| esk57_4(X3,X4,X5,X1) = esk57_4(X3,X4,X5,X2) ) ).
cnf(i_0_661,axiom,
( X1 != X2
| vsomeType(X1) = vsomeType(X2) ) ).
cnf(i_0_662,axiom,
( X1 != X2
| esk67_2(X1,X3) = esk67_2(X2,X3) ) ).
cnf(i_0_663,axiom,
( X1 != X2
| esk67_2(X3,X1) = esk67_2(X3,X2) ) ).
cnf(i_0_664,axiom,
( X1 != X2
| esk41_4(X1,X3,X4,X5) = esk41_4(X2,X3,X4,X5) ) ).
cnf(i_0_665,axiom,
( X1 != X2
| esk41_4(X3,X1,X4,X5) = esk41_4(X3,X2,X4,X5) ) ).
cnf(i_0_666,axiom,
( X1 != X2
| esk41_4(X3,X4,X1,X5) = esk41_4(X3,X4,X2,X5) ) ).
cnf(i_0_667,axiom,
( X1 != X2
| esk41_4(X3,X4,X5,X1) = esk41_4(X3,X4,X5,X2) ) ).
cnf(i_0_668,axiom,
( X1 != X2
| esk69_2(X1,X3) = esk69_2(X2,X3) ) ).
cnf(i_0_669,axiom,
( X1 != X2
| esk69_2(X3,X1) = esk69_2(X3,X2) ) ).
cnf(i_0_670,axiom,
( X1 != X2
| esk7_3(X1,X3,X4) = esk7_3(X2,X3,X4) ) ).
cnf(i_0_671,axiom,
( X1 != X2
| esk7_3(X3,X1,X4) = esk7_3(X3,X2,X4) ) ).
cnf(i_0_672,axiom,
( X1 != X2
| esk7_3(X3,X4,X1) = esk7_3(X3,X4,X2) ) ).
cnf(i_0_673,axiom,
( X1 != X2
| esk4_3(X1,X3,X4) = esk4_3(X2,X3,X4) ) ).
cnf(i_0_674,axiom,
( X1 != X2
| esk4_3(X3,X1,X4) = esk4_3(X3,X2,X4) ) ).
cnf(i_0_675,axiom,
( X1 != X2
| esk4_3(X3,X4,X1) = esk4_3(X3,X4,X2) ) ).
cnf(i_0_676,axiom,
( X1 != X2
| esk56_4(X1,X3,X4,X5) = esk56_4(X2,X3,X4,X5) ) ).
cnf(i_0_677,axiom,
( X1 != X2
| esk56_4(X3,X1,X4,X5) = esk56_4(X3,X2,X4,X5) ) ).
cnf(i_0_678,axiom,
( X1 != X2
| esk56_4(X3,X4,X1,X5) = esk56_4(X3,X4,X2,X5) ) ).
cnf(i_0_679,axiom,
( X1 != X2
| esk56_4(X3,X4,X5,X1) = esk56_4(X3,X4,X5,X2) ) ).
cnf(i_0_680,axiom,
( X1 != X2
| esk1_3(X1,X3,X4) = esk1_3(X2,X3,X4) ) ).
cnf(i_0_681,axiom,
( X1 != X2
| esk1_3(X3,X1,X4) = esk1_3(X3,X2,X4) ) ).
cnf(i_0_682,axiom,
( X1 != X2
| esk1_3(X3,X4,X1) = esk1_3(X3,X4,X2) ) ).
cnf(i_0_683,axiom,
( X1 != X2
| esk8_3(X1,X3,X4) = esk8_3(X2,X3,X4) ) ).
cnf(i_0_684,axiom,
( X1 != X2
| esk8_3(X3,X1,X4) = esk8_3(X3,X2,X4) ) ).
cnf(i_0_685,axiom,
( X1 != X2
| esk8_3(X3,X4,X1) = esk8_3(X3,X4,X2) ) ).
cnf(i_0_686,axiom,
( X1 != X2
| esk3_3(X1,X3,X4) = esk3_3(X2,X3,X4) ) ).
cnf(i_0_687,axiom,
( X1 != X2
| esk3_3(X3,X1,X4) = esk3_3(X3,X2,X4) ) ).
cnf(i_0_688,axiom,
( X1 != X2
| esk3_3(X3,X4,X1) = esk3_3(X3,X4,X2) ) ).
cnf(i_0_689,axiom,
( X1 != X2
| esk79_2(X1,X3) = esk79_2(X2,X3) ) ).
cnf(i_0_690,axiom,
( X1 != X2
| esk79_2(X3,X1) = esk79_2(X3,X2) ) ).
cnf(i_0_691,axiom,
( X1 != X2
| vvar(X1) = vvar(X2) ) ).
cnf(i_0_692,axiom,
( X1 != X2
| esk78_2(X1,X3) = esk78_2(X2,X3) ) ).
cnf(i_0_693,axiom,
( X1 != X2
| esk78_2(X3,X1) = esk78_2(X3,X2) ) ).
cnf(i_0_694,axiom,
( X1 != X2
| esk76_2(X1,X3) = esk76_2(X2,X3) ) ).
cnf(i_0_695,axiom,
( X1 != X2
| esk76_2(X3,X1) = esk76_2(X3,X2) ) ).
cnf(i_0_696,axiom,
( X1 != X2
| esk22_2(X1,X3) = esk22_2(X2,X3) ) ).
cnf(i_0_697,axiom,
( X1 != X2
| esk22_2(X3,X1) = esk22_2(X3,X2) ) ).
cnf(i_0_698,axiom,
( X1 != X2
| esk23_2(X1,X3) = esk23_2(X2,X3) ) ).
cnf(i_0_699,axiom,
( X1 != X2
| esk23_2(X3,X1) = esk23_2(X3,X2) ) ).
cnf(i_0_700,axiom,
( X1 != X2
| vgetSomeType(X1) = vgetSomeType(X2) ) ).
cnf(i_0_701,axiom,
( X1 != X2
| ~ epred1_4(X1,X3,X4,X5)
| epred1_4(X2,X3,X4,X5) ) ).
cnf(i_0_702,axiom,
( X1 != X2
| ~ epred1_4(X3,X1,X4,X5)
| epred1_4(X3,X2,X4,X5) ) ).
cnf(i_0_703,axiom,
( X1 != X2
| ~ epred1_4(X3,X4,X1,X5)
| epred1_4(X3,X4,X2,X5) ) ).
cnf(i_0_704,axiom,
( X1 != X2
| ~ epred1_4(X3,X4,X5,X1)
| epred1_4(X3,X4,X5,X2) ) ).
cnf(i_0_705,axiom,
( X1 != X2
| ~ epred2_4(X1,X3,X4,X5)
| epred2_4(X2,X3,X4,X5) ) ).
cnf(i_0_706,axiom,
( X1 != X2
| ~ epred2_4(X3,X1,X4,X5)
| epred2_4(X3,X2,X4,X5) ) ).
cnf(i_0_707,axiom,
( X1 != X2
| ~ epred2_4(X3,X4,X1,X5)
| epred2_4(X3,X4,X2,X5) ) ).
cnf(i_0_708,axiom,
( X1 != X2
| ~ epred2_4(X3,X4,X5,X1)
| epred2_4(X3,X4,X5,X2) ) ).
cnf(i_0_709,axiom,
( X1 != X2
| ~ visFreeVar(X1,X3)
| visFreeVar(X2,X3) ) ).
cnf(i_0_710,axiom,
( X1 != X2
| ~ visFreeVar(X3,X1)
| visFreeVar(X3,X2) ) ).
cnf(i_0_711,axiom,
( X1 != X2
| ~ visSomeExp(X1)
| visSomeExp(X2) ) ).
cnf(i_0_712,axiom,
( X1 != X2
| ~ vtcheck(X1,X3,X4)
| vtcheck(X2,X3,X4) ) ).
cnf(i_0_713,axiom,
( X1 != X2
| ~ vtcheck(X3,X1,X4)
| vtcheck(X3,X2,X4) ) ).
cnf(i_0_714,axiom,
( X1 != X2
| ~ vtcheck(X3,X4,X1)
| vtcheck(X3,X4,X2) ) ).
cnf(i_0_715,axiom,
( X1 != X2
| ~ epred3_2(X1,X3)
| epred3_2(X2,X3) ) ).
cnf(i_0_716,axiom,
( X1 != X2
| ~ epred3_2(X3,X1)
| epred3_2(X3,X2) ) ).
cnf(i_0_717,axiom,
( X1 != X2
| ~ visValue(X1)
| visValue(X2) ) ).
cnf(i_0_718,axiom,
( X1 != X2
| ~ epred4_2(X1,X3)
| epred4_2(X2,X3) ) ).
cnf(i_0_719,axiom,
( X1 != X2
| ~ epred4_2(X3,X1)
| epred4_2(X3,X2) ) ).
cnf(i_0_720,axiom,
( X1 != X2
| ~ visSomeType(X1)
| visSomeType(X2) ) ).
cnf(i_0_575_001,axiom,
X1 = X1 ).
cnf(i_0_576_002,axiom,
( X1 = X2
| X2 != X1 ) ).
cnf(i_0_577_003,axiom,
( X1 = X2
| X1 != X3
| X3 != X2 ) ).
cnf(i_0_578_004,axiom,
( X1 != X2
| vsubst(X1,X3,X4) = vsubst(X2,X3,X4) ) ).
cnf(i_0_579_005,axiom,
( X1 != X2
| vsubst(X3,X1,X4) = vsubst(X3,X2,X4) ) ).
cnf(i_0_580_006,axiom,
( X1 != X2
| vsubst(X3,X4,X1) = vsubst(X3,X4,X2) ) ).
cnf(i_0_581_007,axiom,
( X1 != X2
| esk50_4(X1,X3,X4,X5) = esk50_4(X2,X3,X4,X5) ) ).
cnf(i_0_582_008,axiom,
( X1 != X2
| esk50_4(X3,X1,X4,X5) = esk50_4(X3,X2,X4,X5) ) ).
cnf(i_0_583_009,axiom,
( X1 != X2
| esk50_4(X3,X4,X1,X5) = esk50_4(X3,X4,X2,X5) ) ).
cnf(i_0_584_010,axiom,
( X1 != X2
| esk50_4(X3,X4,X5,X1) = esk50_4(X3,X4,X5,X2) ) ).
cnf(i_0_585_011,axiom,
( X1 != X2
| vapp(X1,X3) = vapp(X2,X3) ) ).
cnf(i_0_586_012,axiom,
( X1 != X2
| vapp(X3,X1) = vapp(X3,X2) ) ).
cnf(i_0_587_013,axiom,
( X1 != X2
| esk45_4(X1,X3,X4,X5) = esk45_4(X2,X3,X4,X5) ) ).
cnf(i_0_588_014,axiom,
( X1 != X2
| esk45_4(X3,X1,X4,X5) = esk45_4(X3,X2,X4,X5) ) ).
cnf(i_0_589_015,axiom,
( X1 != X2
| esk45_4(X3,X4,X1,X5) = esk45_4(X3,X4,X2,X5) ) ).
cnf(i_0_590_016,axiom,
( X1 != X2
| esk45_4(X3,X4,X5,X1) = esk45_4(X3,X4,X5,X2) ) ).
cnf(i_0_591_017,axiom,
( X1 != X2
| esk46_4(X1,X3,X4,X5) = esk46_4(X2,X3,X4,X5) ) ).
cnf(i_0_592_018,axiom,
( X1 != X2
| esk46_4(X3,X1,X4,X5) = esk46_4(X3,X2,X4,X5) ) ).
cnf(i_0_593_019,axiom,
( X1 != X2
| esk46_4(X3,X4,X1,X5) = esk46_4(X3,X4,X2,X5) ) ).
cnf(i_0_594_020,axiom,
( X1 != X2
| esk46_4(X3,X4,X5,X1) = esk46_4(X3,X4,X5,X2) ) ).
cnf(i_0_595_021,axiom,
( X1 != X2
| esk49_4(X1,X3,X4,X5) = esk49_4(X2,X3,X4,X5) ) ).
cnf(i_0_596_022,axiom,
( X1 != X2
| esk49_4(X3,X1,X4,X5) = esk49_4(X3,X2,X4,X5) ) ).
cnf(i_0_597_023,axiom,
( X1 != X2
| esk49_4(X3,X4,X1,X5) = esk49_4(X3,X4,X2,X5) ) ).
cnf(i_0_598_024,axiom,
( X1 != X2
| esk49_4(X3,X4,X5,X1) = esk49_4(X3,X4,X5,X2) ) ).
cnf(i_0_599_025,axiom,
( X1 != X2
| esk48_4(X1,X3,X4,X5) = esk48_4(X2,X3,X4,X5) ) ).
cnf(i_0_600_026,axiom,
( X1 != X2
| esk48_4(X3,X1,X4,X5) = esk48_4(X3,X2,X4,X5) ) ).
cnf(i_0_601_027,axiom,
( X1 != X2
| esk48_4(X3,X4,X1,X5) = esk48_4(X3,X4,X2,X5) ) ).
cnf(i_0_602_028,axiom,
( X1 != X2
| esk48_4(X3,X4,X5,X1) = esk48_4(X3,X4,X5,X2) ) ).
cnf(i_0_603_029,axiom,
( X1 != X2
| esk53_4(X1,X3,X4,X5) = esk53_4(X2,X3,X4,X5) ) ).
cnf(i_0_604_030,axiom,
( X1 != X2
| esk53_4(X3,X1,X4,X5) = esk53_4(X3,X2,X4,X5) ) ).
cnf(i_0_605_031,axiom,
( X1 != X2
| esk53_4(X3,X4,X1,X5) = esk53_4(X3,X4,X2,X5) ) ).
cnf(i_0_606_032,axiom,
( X1 != X2
| esk53_4(X3,X4,X5,X1) = esk53_4(X3,X4,X5,X2) ) ).
cnf(i_0_607_033,axiom,
( X1 != X2
| vgensym(X1) = vgensym(X2) ) ).
cnf(i_0_608_034,axiom,
( X1 != X2
| vsomeExp(X1) = vsomeExp(X2) ) ).
cnf(i_0_609_035,axiom,
( X1 != X2
| vgetSomeExp(X1) = vgetSomeExp(X2) ) ).
cnf(i_0_610_036,axiom,
( X1 != X2
| vreduce(X1) = vreduce(X2) ) ).
cnf(i_0_611_037,axiom,
( X1 != X2
| esk10_4(X1,X3,X4,X5) = esk10_4(X2,X3,X4,X5) ) ).
cnf(i_0_612_038,axiom,
( X1 != X2
| esk10_4(X3,X1,X4,X5) = esk10_4(X3,X2,X4,X5) ) ).
cnf(i_0_613_039,axiom,
( X1 != X2
| esk10_4(X3,X4,X1,X5) = esk10_4(X3,X4,X2,X5) ) ).
cnf(i_0_614_040,axiom,
( X1 != X2
| esk10_4(X3,X4,X5,X1) = esk10_4(X3,X4,X5,X2) ) ).
cnf(i_0_615_041,axiom,
( X1 != X2
| esk12_4(X1,X3,X4,X5) = esk12_4(X2,X3,X4,X5) ) ).
cnf(i_0_616_042,axiom,
( X1 != X2
| esk12_4(X3,X1,X4,X5) = esk12_4(X3,X2,X4,X5) ) ).
cnf(i_0_617_043,axiom,
( X1 != X2
| esk12_4(X3,X4,X1,X5) = esk12_4(X3,X4,X2,X5) ) ).
cnf(i_0_618_044,axiom,
( X1 != X2
| esk12_4(X3,X4,X5,X1) = esk12_4(X3,X4,X5,X2) ) ).
cnf(i_0_619_045,axiom,
( X1 != X2
| esk54_4(X1,X3,X4,X5) = esk54_4(X2,X3,X4,X5) ) ).
cnf(i_0_620_046,axiom,
( X1 != X2
| esk54_4(X3,X1,X4,X5) = esk54_4(X3,X2,X4,X5) ) ).
cnf(i_0_621_047,axiom,
( X1 != X2
| esk54_4(X3,X4,X1,X5) = esk54_4(X3,X4,X2,X5) ) ).
cnf(i_0_622_048,axiom,
( X1 != X2
| esk54_4(X3,X4,X5,X1) = esk54_4(X3,X4,X5,X2) ) ).
cnf(i_0_623_049,axiom,
( X1 != X2
| esk13_4(X1,X3,X4,X5) = esk13_4(X2,X3,X4,X5) ) ).
cnf(i_0_624_050,axiom,
( X1 != X2
| esk13_4(X3,X1,X4,X5) = esk13_4(X3,X2,X4,X5) ) ).
cnf(i_0_625_051,axiom,
( X1 != X2
| esk13_4(X3,X4,X1,X5) = esk13_4(X3,X4,X2,X5) ) ).
cnf(i_0_626_052,axiom,
( X1 != X2
| esk13_4(X3,X4,X5,X1) = esk13_4(X3,X4,X5,X2) ) ).
cnf(i_0_627_053,axiom,
( X1 != X2
| esk39_4(X1,X3,X4,X5) = esk39_4(X2,X3,X4,X5) ) ).
cnf(i_0_628_054,axiom,
( X1 != X2
| esk39_4(X3,X1,X4,X5) = esk39_4(X3,X2,X4,X5) ) ).
cnf(i_0_629_055,axiom,
( X1 != X2
| esk39_4(X3,X4,X1,X5) = esk39_4(X3,X4,X2,X5) ) ).
cnf(i_0_630_056,axiom,
( X1 != X2
| esk39_4(X3,X4,X5,X1) = esk39_4(X3,X4,X5,X2) ) ).
cnf(i_0_631_057,axiom,
( X1 != X2
| esk42_4(X1,X3,X4,X5) = esk42_4(X2,X3,X4,X5) ) ).
cnf(i_0_632_058,axiom,
( X1 != X2
| esk42_4(X3,X1,X4,X5) = esk42_4(X3,X2,X4,X5) ) ).
cnf(i_0_633_059,axiom,
( X1 != X2
| esk42_4(X3,X4,X1,X5) = esk42_4(X3,X4,X2,X5) ) ).
cnf(i_0_634_060,axiom,
( X1 != X2
| esk42_4(X3,X4,X5,X1) = esk42_4(X3,X4,X5,X2) ) ).
cnf(i_0_635_061,axiom,
( X1 != X2
| esk43_4(X1,X3,X4,X5) = esk43_4(X2,X3,X4,X5) ) ).
cnf(i_0_636_062,axiom,
( X1 != X2
| esk43_4(X3,X1,X4,X5) = esk43_4(X3,X2,X4,X5) ) ).
cnf(i_0_637_063,axiom,
( X1 != X2
| esk43_4(X3,X4,X1,X5) = esk43_4(X3,X4,X2,X5) ) ).
cnf(i_0_638_064,axiom,
( X1 != X2
| esk43_4(X3,X4,X5,X1) = esk43_4(X3,X4,X5,X2) ) ).
cnf(i_0_639_065,axiom,
( X1 != X2
| esk38_4(X1,X3,X4,X5) = esk38_4(X2,X3,X4,X5) ) ).
cnf(i_0_640_066,axiom,
( X1 != X2
| esk38_4(X3,X1,X4,X5) = esk38_4(X3,X2,X4,X5) ) ).
cnf(i_0_641_067,axiom,
( X1 != X2
| esk38_4(X3,X4,X1,X5) = esk38_4(X3,X4,X2,X5) ) ).
cnf(i_0_642_068,axiom,
( X1 != X2
| esk38_4(X3,X4,X5,X1) = esk38_4(X3,X4,X5,X2) ) ).
cnf(i_0_643_069,axiom,
( X1 != X2
| esk40_4(X1,X3,X4,X5) = esk40_4(X2,X3,X4,X5) ) ).
cnf(i_0_644_070,axiom,
( X1 != X2
| esk40_4(X3,X1,X4,X5) = esk40_4(X3,X2,X4,X5) ) ).
cnf(i_0_645_071,axiom,
( X1 != X2
| esk40_4(X3,X4,X1,X5) = esk40_4(X3,X4,X2,X5) ) ).
cnf(i_0_646_072,axiom,
( X1 != X2
| esk40_4(X3,X4,X5,X1) = esk40_4(X3,X4,X5,X2) ) ).
cnf(i_0_647_073,axiom,
( X1 != X2
| vabs(X1,X3,X4) = vabs(X2,X3,X4) ) ).
cnf(i_0_648_074,axiom,
( X1 != X2
| vabs(X3,X1,X4) = vabs(X3,X2,X4) ) ).
cnf(i_0_649_075,axiom,
( X1 != X2
| vabs(X3,X4,X1) = vabs(X3,X4,X2) ) ).
cnf(i_0_650_076,axiom,
( X1 != X2
| varrow(X1,X3) = varrow(X2,X3) ) ).
cnf(i_0_651_077,axiom,
( X1 != X2
| varrow(X3,X1) = varrow(X3,X2) ) ).
cnf(i_0_652_078,axiom,
( X1 != X2
| vbind(X1,X3,X4) = vbind(X2,X3,X4) ) ).
cnf(i_0_653_079,axiom,
( X1 != X2
| vbind(X3,X1,X4) = vbind(X3,X2,X4) ) ).
cnf(i_0_654_080,axiom,
( X1 != X2
| vbind(X3,X4,X1) = vbind(X3,X4,X2) ) ).
cnf(i_0_655_081,axiom,
( X1 != X2
| vlookup(X1,X3) = vlookup(X2,X3) ) ).
cnf(i_0_656_082,axiom,
( X1 != X2
| vlookup(X3,X1) = vlookup(X3,X2) ) ).
cnf(i_0_657_083,axiom,
( X1 != X2
| esk57_4(X1,X3,X4,X5) = esk57_4(X2,X3,X4,X5) ) ).
cnf(i_0_658_084,axiom,
( X1 != X2
| esk57_4(X3,X1,X4,X5) = esk57_4(X3,X2,X4,X5) ) ).
cnf(i_0_659_085,axiom,
( X1 != X2
| esk57_4(X3,X4,X1,X5) = esk57_4(X3,X4,X2,X5) ) ).
cnf(i_0_660_086,axiom,
( X1 != X2
| esk57_4(X3,X4,X5,X1) = esk57_4(X3,X4,X5,X2) ) ).
cnf(i_0_661_087,axiom,
( X1 != X2
| vsomeType(X1) = vsomeType(X2) ) ).
cnf(i_0_662_088,axiom,
( X1 != X2
| esk67_2(X1,X3) = esk67_2(X2,X3) ) ).
cnf(i_0_663_089,axiom,
( X1 != X2
| esk67_2(X3,X1) = esk67_2(X3,X2) ) ).
cnf(i_0_664_090,axiom,
( X1 != X2
| esk41_4(X1,X3,X4,X5) = esk41_4(X2,X3,X4,X5) ) ).
cnf(i_0_665_091,axiom,
( X1 != X2
| esk41_4(X3,X1,X4,X5) = esk41_4(X3,X2,X4,X5) ) ).
cnf(i_0_666_092,axiom,
( X1 != X2
| esk41_4(X3,X4,X1,X5) = esk41_4(X3,X4,X2,X5) ) ).
cnf(i_0_667_093,axiom,
( X1 != X2
| esk41_4(X3,X4,X5,X1) = esk41_4(X3,X4,X5,X2) ) ).
cnf(i_0_668_094,axiom,
( X1 != X2
| esk69_2(X1,X3) = esk69_2(X2,X3) ) ).
cnf(i_0_669_095,axiom,
( X1 != X2
| esk69_2(X3,X1) = esk69_2(X3,X2) ) ).
cnf(i_0_670_096,axiom,
( X1 != X2
| esk7_3(X1,X3,X4) = esk7_3(X2,X3,X4) ) ).
cnf(i_0_671_097,axiom,
( X1 != X2
| esk7_3(X3,X1,X4) = esk7_3(X3,X2,X4) ) ).
cnf(i_0_672_098,axiom,
( X1 != X2
| esk7_3(X3,X4,X1) = esk7_3(X3,X4,X2) ) ).
cnf(i_0_673_099,axiom,
( X1 != X2
| esk4_3(X1,X3,X4) = esk4_3(X2,X3,X4) ) ).
cnf(i_0_674_100,axiom,
( X1 != X2
| esk4_3(X3,X1,X4) = esk4_3(X3,X2,X4) ) ).
cnf(i_0_675_101,axiom,
( X1 != X2
| esk4_3(X3,X4,X1) = esk4_3(X3,X4,X2) ) ).
cnf(i_0_676_102,axiom,
( X1 != X2
| esk56_4(X1,X3,X4,X5) = esk56_4(X2,X3,X4,X5) ) ).
cnf(i_0_677_103,axiom,
( X1 != X2
| esk56_4(X3,X1,X4,X5) = esk56_4(X3,X2,X4,X5) ) ).
cnf(i_0_678_104,axiom,
( X1 != X2
| esk56_4(X3,X4,X1,X5) = esk56_4(X3,X4,X2,X5) ) ).
cnf(i_0_679_105,axiom,
( X1 != X2
| esk56_4(X3,X4,X5,X1) = esk56_4(X3,X4,X5,X2) ) ).
cnf(i_0_680_106,axiom,
( X1 != X2
| esk1_3(X1,X3,X4) = esk1_3(X2,X3,X4) ) ).
cnf(i_0_681_107,axiom,
( X1 != X2
| esk1_3(X3,X1,X4) = esk1_3(X3,X2,X4) ) ).
cnf(i_0_682_108,axiom,
( X1 != X2
| esk1_3(X3,X4,X1) = esk1_3(X3,X4,X2) ) ).
cnf(i_0_683_109,axiom,
( X1 != X2
| esk8_3(X1,X3,X4) = esk8_3(X2,X3,X4) ) ).
cnf(i_0_684_110,axiom,
( X1 != X2
| esk8_3(X3,X1,X4) = esk8_3(X3,X2,X4) ) ).
cnf(i_0_685_111,axiom,
( X1 != X2
| esk8_3(X3,X4,X1) = esk8_3(X3,X4,X2) ) ).
cnf(i_0_686_112,axiom,
( X1 != X2
| esk3_3(X1,X3,X4) = esk3_3(X2,X3,X4) ) ).
cnf(i_0_687_113,axiom,
( X1 != X2
| esk3_3(X3,X1,X4) = esk3_3(X3,X2,X4) ) ).
cnf(i_0_688_114,axiom,
( X1 != X2
| esk3_3(X3,X4,X1) = esk3_3(X3,X4,X2) ) ).
cnf(i_0_689_115,axiom,
( X1 != X2
| esk79_2(X1,X3) = esk79_2(X2,X3) ) ).
cnf(i_0_690_116,axiom,
( X1 != X2
| esk79_2(X3,X1) = esk79_2(X3,X2) ) ).
cnf(i_0_691_117,axiom,
( X1 != X2
| vvar(X1) = vvar(X2) ) ).
cnf(i_0_692_118,axiom,
( X1 != X2
| esk78_2(X1,X3) = esk78_2(X2,X3) ) ).
cnf(i_0_693_119,axiom,
( X1 != X2
| esk78_2(X3,X1) = esk78_2(X3,X2) ) ).
cnf(i_0_694_120,axiom,
( X1 != X2
| esk76_2(X1,X3) = esk76_2(X2,X3) ) ).
cnf(i_0_695_121,axiom,
( X1 != X2
| esk76_2(X3,X1) = esk76_2(X3,X2) ) ).
cnf(i_0_696_122,axiom,
( X1 != X2
| esk22_2(X1,X3) = esk22_2(X2,X3) ) ).
cnf(i_0_697_123,axiom,
( X1 != X2
| esk22_2(X3,X1) = esk22_2(X3,X2) ) ).
cnf(i_0_698_124,axiom,
( X1 != X2
| esk23_2(X1,X3) = esk23_2(X2,X3) ) ).
cnf(i_0_699_125,axiom,
( X1 != X2
| esk23_2(X3,X1) = esk23_2(X3,X2) ) ).
cnf(i_0_700_126,axiom,
( X1 != X2
| vgetSomeType(X1) = vgetSomeType(X2) ) ).
cnf(i_0_701_127,axiom,
( X1 != X2
| ~ epred1_4(X1,X3,X4,X5)
| epred1_4(X2,X3,X4,X5) ) ).
cnf(i_0_702_128,axiom,
( X1 != X2
| ~ epred1_4(X3,X1,X4,X5)
| epred1_4(X3,X2,X4,X5) ) ).
cnf(i_0_703_129,axiom,
( X1 != X2
| ~ epred1_4(X3,X4,X1,X5)
| epred1_4(X3,X4,X2,X5) ) ).
cnf(i_0_704_130,axiom,
( X1 != X2
| ~ epred1_4(X3,X4,X5,X1)
| epred1_4(X3,X4,X5,X2) ) ).
cnf(i_0_705_131,axiom,
( X1 != X2
| ~ epred2_4(X1,X3,X4,X5)
| epred2_4(X2,X3,X4,X5) ) ).
cnf(i_0_706_132,axiom,
( X1 != X2
| ~ epred2_4(X3,X1,X4,X5)
| epred2_4(X3,X2,X4,X5) ) ).
cnf(i_0_707_133,axiom,
( X1 != X2
| ~ epred2_4(X3,X4,X1,X5)
| epred2_4(X3,X4,X2,X5) ) ).
cnf(i_0_708_134,axiom,
( X1 != X2
| ~ epred2_4(X3,X4,X5,X1)
| epred2_4(X3,X4,X5,X2) ) ).
cnf(i_0_709_135,axiom,
( X1 != X2
| ~ visFreeVar(X1,X3)
| visFreeVar(X2,X3) ) ).
cnf(i_0_710_136,axiom,
( X1 != X2
| ~ visFreeVar(X3,X1)
| visFreeVar(X3,X2) ) ).
cnf(i_0_711_137,axiom,
( X1 != X2
| ~ visSomeExp(X1)
| visSomeExp(X2) ) ).
cnf(i_0_712_138,axiom,
( X1 != X2
| ~ vtcheck(X1,X3,X4)
| vtcheck(X2,X3,X4) ) ).
cnf(i_0_713_139,axiom,
( X1 != X2
| ~ vtcheck(X3,X1,X4)
| vtcheck(X3,X2,X4) ) ).
cnf(i_0_714_140,axiom,
( X1 != X2
| ~ vtcheck(X3,X4,X1)
| vtcheck(X3,X4,X2) ) ).
cnf(i_0_715_141,axiom,
( X1 != X2
| ~ epred3_2(X1,X3)
| epred3_2(X2,X3) ) ).
cnf(i_0_716_142,axiom,
( X1 != X2
| ~ epred3_2(X3,X1)
| epred3_2(X3,X2) ) ).
cnf(i_0_717_143,axiom,
( X1 != X2
| ~ visValue(X1)
| visValue(X2) ) ).
cnf(i_0_718_144,axiom,
( X1 != X2
| ~ epred4_2(X1,X3)
| epred4_2(X2,X3) ) ).
cnf(i_0_719_145,axiom,
( X1 != X2
| ~ epred4_2(X3,X1)
| epred4_2(X3,X2) ) ).
cnf(i_0_720_146,axiom,
( X1 != X2
| ~ visSomeType(X1)
| visSomeType(X2) ) ).
cnf(i_0_721,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,[],[230]) ).
cnf(i_0_722,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,[],[292]) ).
cnf(i_0_723,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,[],[293]) ).
cnf(i_0_724,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,[],[359]) ).
cnf(i_0_725,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,[],[364]) ).
cnf(i_0_726,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,[],[365]) ).
cnf(i_0_727,plain,
( vtcheck(vbind(X1,X2,X3),X4,X5)
| ~ vtcheck(vbind(X1,X2,vbind(X1,X6,X3)),X4,X5) ),
inference(equality_inference,[],[372]) ).
cnf(i_0_728,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,[],[379]) ).
cnf(i_0_729,plain,
( ~ vtcheck(X1,vabs(X2,X3,veabs),X4)
| vtcheck(vbind(X2,X5,X1),vabs(X2,X3,veabs),X4)
| visFreeVar(X2,vabs(X2,X3,veabs)) ),
inference(equality_inference,[],[383]) ).
cnf(i_0_730,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,[],[386]) ).
cnf(i_0_731,plain,
( X1 = vempty
| X1 = vbind(esk4_3(X2,X1,vlookup(X2,X1)),esk5_3(X2,X1,vlookup(X2,X1)),esk2_3(X2,X1,vlookup(X2,X1)))
| vlookup(X2,X1) = vlookup(esk8_3(X2,X1,vlookup(X2,X1)),esk9_3(X2,X1,vlookup(X2,X1))) ),
inference(equality_inference,[],[387]) ).
cnf(i_0_732,plain,
( epred2_4(vsubst(X1,X2,X3),X3,X2,X1)
| X2 = esk13_4(X1,X2,X3,vsubst(X1,X2,X3)) ),
inference(equality_inference,[],[391]) ).
cnf(i_0_733,plain,
( epred2_4(vsubst(X1,X2,X3),X3,X2,X1)
| X1 = esk12_4(X1,X2,X3,vsubst(X1,X2,X3)) ),
inference(equality_inference,[],[392]) ).
cnf(i_0_734,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,[],[395]) ).
cnf(i_0_735,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,[],[396]) ).
cnf(i_0_736,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,[],[403]) ).
cnf(i_0_737,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,[],[404]) ).
cnf(i_0_738,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,[],[405]) ).
cnf(i_0_739,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,[],[406]) ).
cnf(i_0_740,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,[],[407]) ).
cnf(i_0_741,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,[],[408]) ).
cnf(i_0_742,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,[],[418]) ).
cnf(i_0_743,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,[],[419]) ).
cnf(i_0_744,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,[],[420]) ).
cnf(i_0_745,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,[],[421]) ).
cnf(i_0_746,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,[],[425]) ).
cnf(i_0_747,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,[],[426]) ).
cnf(i_0_748,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,[],[440]) ).
cnf(i_0_749,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,[],[441]) ).
cnf(i_0_750,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,[],[442]) ).
cnf(i_0_751,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,[],[443]) ).
cnf(i_0_752,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,[],[444]) ).
cnf(i_0_753,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,[],[456]) ).
cnf(i_0_754,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,[],[457]) ).
cnf(i_0_755,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,[],[478]) ).
cnf(i_0_756,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,[],[480]) ).
cnf(i_0_757,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,[],[488]) ).
cnf(i_0_758,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,[],[489]) ).
cnf(i_0_759,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,[],[492]) ).
cnf(i_0_760,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,[],[493]) ).
cnf(i_0_761,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,[],[494]) ).
cnf(i_0_762,plain,
X1 = X1,
inference(equality_inference,[],[497]) ).
cnf(i_0_763,plain,
X1 = X1,
inference(equality_inference,[],[498]) ).
cnf(i_0_764,plain,
X1 = X1,
inference(equality_inference,[],[499]) ).
cnf(i_0_765,plain,
X1 = X1,
inference(equality_inference,[],[500]) ).
cnf(i_0_766,plain,
X1 = X1,
inference(equality_inference,[],[501]) ).
cnf(i_0_767,plain,
X1 = X1,
inference(equality_inference,[],[502]) ).
cnf(i_0_768,plain,
( X1 = esk3_3(X1,X2,vlookup(X1,X2))
| X2 = vempty
| X1 = esk8_3(X1,X2,vlookup(X1,X2)) ),
inference(equality_inference,[],[510]) ).
cnf(i_0_769,plain,
( X1 = esk3_3(X1,X2,vlookup(X1,X2))
| vlookup(X1,X2) = vnoType
| X1 = esk8_3(X1,X2,vlookup(X1,X2)) ),
inference(equality_inference,[],[511]) ).
cnf(i_0_770,plain,
visValue(vabs(X1,X2,X3)),
inference(equality_inference,[],[539]) ).
cnf(i_0_771,plain,
( epred4_2(vreduce(X1),X1)
| X1 = vapp(esk22_2(X1,vreduce(X1)),esk21_2(X1,vreduce(X1))) ),
inference(equality_inference,[],[540]) ).
cnf(i_0_772,plain,
( epred4_2(vreduce(X1),X1)
| ~ visSomeExp(esk23_2(X1,vreduce(X1))) ),
inference(equality_inference,[],[546]) ).
cnf(i_0_773,plain,
( epred4_2(vreduce(X1),X1)
| esk23_2(X1,vreduce(X1)) = vreduce(esk22_2(X1,vreduce(X1))) ),
inference(equality_inference,[],[548]) ).
cnf(i_0_774,plain,
X1 = X1,
inference(equality_inference,[],[551]) ).
cnf(i_0_775,plain,
X1 = X1,
inference(equality_inference,[],[552]) ).
cnf(i_0_776,plain,
X1 = X1,
inference(equality_inference,[],[553]) ).
cnf(i_0_777,plain,
X1 = X1,
inference(equality_inference,[],[554]) ).
cnf(i_0_778,plain,
~ visValue(vapp(X1,X2)),
inference(equality_inference,[],[557]) ).
cnf(i_0_779,plain,
~ visFreeVar(vgensym(X1),X1),
inference(equality_inference,[],[558]) ).
cnf(i_0_780,plain,
( epred4_2(vreduce(X1),X1)
| vreduce(X1) = vnoExp ),
inference(equality_inference,[],[561]) ).
cnf(i_0_781,plain,
~ visValue(vvar(X1)),
inference(equality_inference,[],[565]) ).
cnf(i_0_782,plain,
X1 = X1,
inference(equality_inference,[],[566]) ).
cnf(i_0_783,plain,
X1 = X1,
inference(equality_inference,[],[567]) ).
cnf(i_0_784,plain,
X1 = X1,
inference(equality_inference,[],[568]) ).
cnf(i_0_785,plain,
visSomeExp(vsomeExp(X1)),
inference(equality_inference,[],[569]) ).
cnf(i_0_786,plain,
visSomeType(vsomeType(X1)),
inference(equality_inference,[],[570]) ).
cnf(i_0_787,plain,
~ visSomeExp(vnoExp),
inference(equality_inference,[],[571]) ).
cnf(i_0_788,plain,
~ visSomeType(vnoType),
inference(equality_inference,[],[572]) ).
cnf(i_0_789,plain,
epred2_4(vsubst(X1,X2,vvar(X3)),vvar(X3),X2,X1),
inference(scs_inference,[],[i_0_538,i_0_723]) ).
cnf(i_0_790,plain,
vvar(X1) != vabs(X2,X3,X4),
inference(rename_variables,[],[i_0_538]) ).
cnf(i_0_791,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_723]) ).
cnf(i_0_792,plain,
epred4_2(vreduce(vabs(X1,X2,X3)),vabs(X1,X2,X3)),
inference(scs_inference,[],[i_0_532,i_0_538,i_0_723,i_0_771]) ).
cnf(i_0_793,plain,
vabs(X1,X2,X3) != vapp(X4,X5),
inference(rename_variables,[],[i_0_532]) ).
cnf(i_0_794,plain,
( X1 = vapp(esk22_2(X1,vreduce(X1)),esk21_2(X1,vreduce(X1)))
| epred4_2(vreduce(X1),X1) ),
inference(rename_variables,[],[i_0_771]) ).
cnf(i_0_795,plain,
esk34_0 != vbind(esk32_0,esk33_0,esk34_0),
inference(scs_inference,[],[i_0_431,i_0_505,i_0_532,i_0_538,i_0_723,i_0_771,i_0_712]) ).
cnf(i_0_796,plain,
vsomeExp(X1) != vnoExp,
inference(scs_inference,[],[i_0_431,i_0_505,i_0_785,i_0_532,i_0_538,i_0_787,i_0_723,i_0_771,i_0_712,i_0_711]) ).
cnf(i_0_797,plain,
vsomeType(X1) != vnoType,
inference(scs_inference,[],[i_0_431,i_0_505,i_0_785,i_0_786,i_0_532,i_0_538,i_0_787,i_0_788,i_0_723,i_0_771,i_0_712,i_0_711,i_0_720]) ).
cnf(i_0_798,plain,
esk32_0 != esk35_0,
inference(scs_inference,[],[i_0_431,i_0_505,i_0_496,i_0_785,i_0_786,i_0_532,i_0_538,i_0_787,i_0_788,i_0_723,i_0_771,i_0_712,i_0_711,i_0_720,i_0_383]) ).
cnf(i_0_799,plain,
( visFreeVar(X1,vabs(X2,X3,veabs))
| vtcheck(vbind(X1,X4,X5),vabs(X2,X3,veabs),X6)
| ~ vtcheck(X5,vabs(X2,X3,veabs),X6)
| X1 != X2 ),
inference(rename_variables,[],[i_0_383]) ).
cnf(i_0_800,plain,
$false,
inference(scs_inference,[],[i_0_431,i_0_505,i_0_496,i_0_785,i_0_786,i_0_532,i_0_538,i_0_787,i_0_788,i_0_723,i_0_771,i_0_712,i_0_711,i_0_720,i_0_383,i_0_384]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : COM125+1 : TPTP v9.2.1. Released v6.4.0.
% 0.00/0.12 % Command : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.15/0.33 % Computer : n007.cluster.edu
% 0.15/0.33 % Model : x86_64 x86_64
% 0.15/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.33 % Memory : 8042.1875MB
% 0.15/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.33 % CPULimit : 300
% 0.15/0.33 % WCLimit : 300
% 0.15/0.33 % DateTime : Mon May 4 16:21:39 EDT 2026
% 0.15/0.33 % CPUTime :
% 0.15/0.34 % start to proof: theBenchmark
% 0.62/1.67 % Version : CSE_E---1.7
% 0.62/1.67 % Problem : theBenchmark.p
% 0.62/1.67 % SZS status Theorem for theBenchmark.p
% 0.62/1.67 % SZS output start CNFRefutation
% See solution above
% 0.76/1.80 % Total time : 1.323s
%------------------------------------------------------------------------------