%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : COM142+1 : TPTP v9.2.1. Released v6.4.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% Computer : n006.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue May 5 04:13:20 PM UTC 2026
% Result : Theorem 182.03s 110.78s
% Output : CNFRefutation 199.93s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named c_0_56)
% Comments :
%------------------------------------------------------------------------------
fof('subst-INV',axiom,
! [X1,X4,X6,X19] :
( vsubst(X1,X4,X6) = X19
=> ( ? [X9,X21,X11] :
( X1 = X9
& X4 = X11
& X6 = vvar(X21)
& X9 = X21
& X19 = X11 )
| ? [X11,X9,X21] :
( X1 = X9
& X4 = X11
& X6 = vvar(X21)
& X9 != X21
& X19 = vvar(X21) )
| ? [X12,X9,X11,X13] :
( X1 = X9
& X4 = X11
& X6 = vapp(X12,X13)
& X19 = vapp(vsubst(X9,X11,X12),vsubst(X9,X11,X13)) )
| ? [X11,X9,X21,X15,X12] :
( X1 = X9
& X4 = X11
& X6 = vabs(X21,X15,X12)
& X9 = X21
& X19 = vabs(X21,X15,X12) )
| ? [X9,X11,X15,X21,X24,X12] :
( X1 = X9
& X4 = X11
& X6 = vabs(X21,X15,X12)
& X9 != X21
& visFreeVar(X21,X11)
& X24 = vgensym(vapp(vapp(X11,X12),vvar(X9)))
& X19 = vsubst(X9,X11,vabs(X24,X15,vsubst(X21,vvar(X24),X12))) )
| ? [X21,X15,X9,X11,X12] :
( X1 = X9
& X4 = X11
& X6 = vabs(X21,X15,X12)
& X9 != X21
& ~ visFreeVar(X21,X11)
& X19 = vabs(X21,X15,vsubst(X9,X11,X12)) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/COM001+0.ax','subst-INV') ).
fof(reduce6,axiom,
! [X13,X12,X27,X4,X19] :
( ( X4 = vapp(X12,X13)
& ! [X28,X29,X30] : X12 != vabs(X28,X29,X30) )
=> ( ( X27 = vreduce(X12)
& ~ visSomeExp(X27) )
=> ( X19 = vreduce(X4)
=> X19 = vnoExp ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/COM001+0.ax',reduce6) ).
fof(subst5,axiom,
! [X1,X4,X6,X19,X21,X15,X9,X11,X12] :
( ( X1 = X9
& X4 = X11
& X6 = vabs(X21,X15,X12) )
=> ( ( X9 != X21
& ~ visFreeVar(X21,X11) )
=> ( X19 = vsubst(X1,X4,X6)
=> X19 = vabs(X21,X15,vsubst(X9,X11,X12)) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/COM001+0.ax',subst5) ).
fof(reduce3,axiom,
! [X10,X26,X4,X19,X9,X13,X12] :
( X4 = vapp(vabs(X9,X10,X12),X13)
=> ( ( X26 = vreduce(X13)
& ~ visSomeExp(X26)
& visValue(X13) )
=> ( X19 = vreduce(X4)
=> X19 = vsomeExp(vsubst(X9,X13,X12)) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/COM001+0.ax',reduce3) ).
fof('T-Weak-app',conjecture,
! [X9,X10,X20,X15] :
( ( vlookup(X9,X20) = vnoType
& vtcheck(X20,vapp(ve1app,ve2app),X15) )
=> vtcheck(vbind(X9,X10,X20),vapp(ve1app,ve2app),X15) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','T-Weak-app') ).
fof(reduce4,axiom,
! [X9,X10,X12,X26,X13,X4,X19] :
( X4 = vapp(vabs(X9,X10,X12),X13)
=> ( ( X26 = vreduce(X13)
& ~ visSomeExp(X26)
& ~ visValue(X13) )
=> ( X19 = vreduce(X4)
=> X19 = vnoExp ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/COM001+0.ax',reduce4) ).
fof('reduce-INV',axiom,
! [X4,X19] :
( vreduce(X4) = X19
=> ( ? [X9] :
( X4 = vvar(X9)
& X19 = vnoExp )
| ? [X9,X10,X11] :
( X4 = vabs(X9,X10,X11)
& X19 = vnoExp )
| ? [X13,X9,X10,X12,X26] :
( X4 = vapp(vabs(X9,X10,X12),X13)
& X26 = vreduce(X13)
& visSomeExp(X26)
& X19 = vsomeExp(vapp(vabs(X9,X10,X12),vgetSomeExp(X26))) )
| ? [X10,X26,X9,X13,X12] :
( X4 = vapp(vabs(X9,X10,X12),X13)
& X26 = vreduce(X13)
& ~ visSomeExp(X26)
& visValue(X13)
& X19 = vsomeExp(vsubst(X9,X13,X12)) )
| ? [X9,X10,X12,X26,X13] :
( X4 = vapp(vabs(X9,X10,X12),X13)
& X26 = vreduce(X13)
& ~ visSomeExp(X26)
& ~ visValue(X13)
& X19 = vnoExp )
| ? [X12,X27,X13] :
( X4 = vapp(X12,X13)
& ! [X28,X29,X30] : X12 != vabs(X28,X29,X30)
& X27 = vreduce(X12)
& visSomeExp(X27)
& X19 = vsomeExp(vapp(vgetSomeExp(X27),X13)) )
| ? [X13,X12,X27] :
( X4 = vapp(X12,X13)
& ! [X28,X29,X30] : X12 != vabs(X28,X29,X30)
& X27 = vreduce(X12)
& ~ visSomeExp(X27)
& X19 = vnoExp ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/COM001+0.ax','reduce-INV') ).
fof(isValue2,axiom,
! [X12,X13,X4] :
( X4 = vapp(X12,X13)
=> ~ visValue(X4) ),
file('/export/starexec/sandbox/benchmark/Axioms/COM001+0.ax',isValue2) ).
fof('gensym-is-fresh',axiom,
! [X14,X11] :
( vgensym(X11) = X14
=> ~ visFreeVar(X14,X11) ),
file('/export/starexec/sandbox/benchmark/Axioms/COM001+0.ax','gensym-is-fresh') ).
fof(isValue1,axiom,
! [X9,X4] :
( X4 = vvar(X9)
=> ~ visValue(X4) ),
file('/export/starexec/sandbox/benchmark/Axioms/COM001+0.ax',isValue1) ).
fof(isSomeExp0,axiom,
! [X25] :
( X25 = vnoExp
=> ~ visSomeExp(X25) ),
file('/export/starexec/sandbox/benchmark/Axioms/COM001+0.ax',isSomeExp0) ).
fof(isSomeType0,axiom,
! [X18] :
( X18 = vnoType
=> ~ visSomeType(X18) ),
file('/export/starexec/sandbox/benchmark/Axioms/COM001+0.ax',isSomeType0) ).
fof(reduce5,axiom,
! [X12,X4,X19,X27,X13] :
( ( X4 = vapp(X12,X13)
& ! [X28,X29,X30] : X12 != vabs(X28,X29,X30) )
=> ( ( X27 = vreduce(X12)
& visSomeExp(X27) )
=> ( X19 = vreduce(X4)
=> X19 = vsomeExp(vapp(vgetSomeExp(X27),X13)) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/COM001+0.ax',reduce5) ).
fof('T-inv',axiom,
! [X11,X15,X20] :
( vtcheck(X20,X11,X15)
=> ( ? [X9] :
( X11 = vvar(X9)
& vlookup(X9,X20) = vsomeType(X15) )
| ? [X9,X13,X33,X34] :
( X11 = vabs(X9,X33,X13)
& X15 = varrow(X33,X34)
& vtcheck(vbind(X9,X33,X20),X13,X34) )
| ? [X12,X13,X10] :
( X11 = vapp(X12,X13)
& vtcheck(X20,X12,varrow(X10,X15))
& vtcheck(X20,X13,X10) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/COM001+0.ax','T-inv') ).
fof('T-Context-Swap',axiom,
! [X21,X22,X9,X23,X20,X11,X15] :
( ( X9 != X21
& vtcheck(vbind(X9,X23,vbind(X21,X22,X20)),X11,X15) )
=> vtcheck(vbind(X21,X22,vbind(X9,X23,X20)),X11,X15) ),
file('/export/starexec/sandbox/benchmark/Axioms/COM001+0.ax','T-Context-Swap') ).
fof('lookup-INV',axiom,
! [X1,X16,X19] :
( vlookup(X1,X16) = X19
=> ( ? [X9] :
( X1 = X9
& X16 = vempty
& X19 = vnoType )
| ? [X20,X9,X21,X22] :
( X1 = X9
& X16 = vbind(X21,X22,X20)
& X9 = X21
& X19 = vsomeType(X22) )
| ? [X22,X21,X9,X20] :
( X1 = X9
& X16 = vbind(X21,X22,X20)
& X9 != X21
& X19 = vlookup(X9,X20) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/COM001+0.ax','lookup-INV') ).
fof(subst4,axiom,
! [X1,X4,X6,X19,X9,X11,X15,X21,X24,X12] :
( ( X1 = X9
& X4 = X11
& X6 = vabs(X21,X15,X12) )
=> ( ( X9 != X21
& visFreeVar(X21,X11)
& X24 = vgensym(vapp(vapp(X11,X12),vvar(X9))) )
=> ( X19 = vsubst(X1,X4,X6)
=> X19 = vsubst(X9,X11,vabs(X24,X15,vsubst(X21,vvar(X24),X12))) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/COM001+0.ax',subst4) ).
fof('T-Context-Duplicate',axiom,
! [X21,X22,X9,X23,X20,X11,X15] :
( ( X9 = X21
& vtcheck(vbind(X9,X23,vbind(X21,X22,X20)),X11,X15) )
=> vtcheck(vbind(X9,X23,X20),X11,X15) ),
file('/export/starexec/sandbox/benchmark/Axioms/COM001+0.ax','T-Context-Duplicate') ).
fof(reduce2,axiom,
! [X13,X4,X19,X9,X10,X12,X26] :
( X4 = vapp(vabs(X9,X10,X12),X13)
=> ( ( X26 = vreduce(X13)
& visSomeExp(X26) )
=> ( X19 = vreduce(X4)
=> X19 = vsomeExp(vapp(vabs(X9,X10,X12),vgetSomeExp(X26))) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/COM001+0.ax',reduce2) ).
fof('T-abs',axiom,
! [X20,X9,X11,X10,X15] :
( vtcheck(vbind(X9,X10,X20),X11,X15)
=> vtcheck(X20,vabs(X9,X10,X11),varrow(X10,X15)) ),
file('/export/starexec/sandbox/benchmark/Axioms/COM001+0.ax','T-abs') ).
fof(subst2,axiom,
! [X1,X4,X6,X19,X12,X9,X11,X13] :
( ( X1 = X9
& X4 = X11
& X6 = vapp(X12,X13) )
=> ( X19 = vsubst(X1,X4,X6)
=> X19 = vapp(vsubst(X9,X11,X12),vsubst(X9,X11,X13)) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/COM001+0.ax',subst2) ).
fof('T-app',axiom,
! [X10,X20,X12,X13,X15] :
( ( vtcheck(X20,X12,varrow(X10,X15))
& vtcheck(X20,X13,X10) )
=> vtcheck(X20,vapp(X12,X13),X15) ),
file('/export/starexec/sandbox/benchmark/Axioms/COM001+0.ax','T-app') ).
fof('T-Weak-app-IH2',axiom,
! [X9,X10,X20,X15] :
( ( vlookup(X9,X20) = vnoType
& vtcheck(X20,ve2app,X15) )
=> vtcheck(vbind(X9,X10,X20),ve2app,X15) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','T-Weak-app-IH2') ).
fof('T-Weak-app-IH1',axiom,
! [X9,X10,X20,X15] :
( ( vlookup(X9,X20) = vnoType
& vtcheck(X20,ve1app,X15) )
=> vtcheck(vbind(X9,X10,X20),ve1app,X15) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','T-Weak-app-IH1') ).
fof(subst3,axiom,
! [X11,X9,X1,X4,X6,X19,X21,X15,X12] :
( ( X1 = X9
& X4 = X11
& X6 = vabs(X21,X15,X12) )
=> ( X9 = X21
=> ( X19 = vsubst(X1,X4,X6)
=> X19 = vabs(X21,X15,X12) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/COM001+0.ax',subst3) ).
fof('EQ-bind',axiom,
! [X1,X3,X16,X2,X5,X17] :
( ( vbind(X1,X3,X16) = vbind(X2,X5,X17)
=> ( X1 = X2
& X3 = X5
& X16 = X17 ) )
& ( ( X1 = X2
& X3 = X5
& X16 = X17 )
=> vbind(X1,X3,X16) = vbind(X2,X5,X17) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/COM001+0.ax','EQ-bind') ).
fof('EQ-abs',axiom,
! [X1,X3,X4,X2,X5,X6] :
( ( vabs(X1,X3,X4) = vabs(X2,X5,X6)
=> ( X1 = X2
& X3 = X5
& X4 = X6 ) )
& ( ( X1 = X2
& X3 = X5
& X4 = X6 )
=> vabs(X1,X3,X4) = vabs(X2,X5,X6) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/COM001+0.ax','EQ-abs') ).
fof(lookup2,axiom,
! [X22,X21,X1,X16,X19,X9,X20] :
( ( X1 = X9
& X16 = vbind(X21,X22,X20) )
=> ( X9 != X21
=> ( X19 = vlookup(X1,X16)
=> X19 = vlookup(X9,X20) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/COM001+0.ax',lookup2) ).
fof(isFreeVar1,axiom,
! [X15,X1,X4,X9,X14,X11] :
( ( X1 = X14
& X4 = vabs(X9,X15,X11) )
=> ( ( ( X9 != X14
& visFreeVar(X14,X11) )
=> visFreeVar(X1,X4) )
& ( visFreeVar(X1,X4)
=> ( X9 != X14
& visFreeVar(X14,X11) ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/COM001+0.ax',isFreeVar1) ).
fof(lookup1,axiom,
! [X20,X9,X21,X1,X16,X19,X22] :
( ( X1 = X9
& X16 = vbind(X21,X22,X20) )
=> ( X9 = X21
=> ( X19 = vlookup(X1,X16)
=> X19 = vsomeType(X22) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/COM001+0.ax',lookup1) ).
fof(subst1,axiom,
! [X11,X9,X1,X4,X6,X19,X21] :
( ( X1 = X9
& X4 = X11
& X6 = vvar(X21) )
=> ( X9 != X21
=> ( X19 = vsubst(X1,X4,X6)
=> X19 = vvar(X21) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/COM001+0.ax',subst1) ).
fof(subst0,axiom,
! [X9,X21,X1,X4,X6,X19,X11] :
( ( X1 = X9
& X4 = X11
& X6 = vvar(X21) )
=> ( X9 = X21
=> ( X19 = vsubst(X1,X4,X6)
=> X19 = X11 ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/COM001+0.ax',subst0) ).
fof('DIFF-abs-app',axiom,
! [X1,X3,X4,X6,X7] : vabs(X1,X3,X4) != vapp(X6,X7),
file('/export/starexec/sandbox/benchmark/Axioms/COM001+0.ax','DIFF-abs-app') ).
fof(reduce1,axiom,
! [X9,X10,X11,X4,X19] :
( X4 = vabs(X9,X10,X11)
=> ( X19 = vreduce(X4)
=> X19 = vnoExp ) ),
file('/export/starexec/sandbox/benchmark/Axioms/COM001+0.ax',reduce1) ).
fof('DIFF-var-abs',axiom,
! [X1,X2,X3,X4] : vvar(X1) != vabs(X2,X3,X4),
file('/export/starexec/sandbox/benchmark/Axioms/COM001+0.ax','DIFF-var-abs') ).
fof(isValue0,axiom,
! [X9,X10,X11,X4] :
( X4 = vabs(X9,X10,X11)
=> visValue(X4) ),
file('/export/starexec/sandbox/benchmark/Axioms/COM001+0.ax',isValue0) ).
fof('T-var',axiom,
! [X20,X9,X15] :
( vlookup(X9,X20) = vsomeType(X15)
=> vtcheck(X20,vvar(X9),X15) ),
file('/export/starexec/sandbox/benchmark/Axioms/COM001+0.ax','T-var') ).
fof('DIFF-empty-bind',axiom,
! [X1,X3,X16] : vempty != vbind(X1,X3,X16),
file('/export/starexec/sandbox/benchmark/Axioms/COM001+0.ax','DIFF-empty-bind') ).
fof(isFreeVar2,axiom,
! [X1,X4,X12,X14,X13] :
( ( X1 = X14
& X4 = vapp(X12,X13) )
=> ( ( ( visFreeVar(X14,X12)
| visFreeVar(X14,X13) )
=> visFreeVar(X1,X4) )
& ( visFreeVar(X1,X4)
=> ( visFreeVar(X14,X12)
| visFreeVar(X14,X13) ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/COM001+0.ax',isFreeVar2) ).
fof('EQ-arrow',axiom,
! [X3,X5,X31,X32] :
( ( varrow(X3,X5) = varrow(X31,X32)
=> ( X3 = X31
& X5 = X32 ) )
& ( ( X3 = X31
& X5 = X32 )
=> varrow(X3,X5) = varrow(X31,X32) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/COM001+0.ax','EQ-arrow') ).
fof('EQ-app',axiom,
! [X4,X6,X7,X8] :
( ( vapp(X4,X6) = vapp(X7,X8)
=> ( X4 = X7
& X6 = X8 ) )
& ( ( X4 = X7
& X6 = X8 )
=> vapp(X4,X6) = vapp(X7,X8) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/COM001+0.ax','EQ-app') ).
fof(isFreeVar0,axiom,
! [X1,X4,X9,X14] :
( ( X1 = X14
& X4 = vvar(X9) )
=> ( ( X9 = X14
=> visFreeVar(X1,X4) )
& ( visFreeVar(X1,X4)
=> X9 = X14 ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/COM001+0.ax',isFreeVar0) ).
fof(lookup0,axiom,
! [X9,X1,X16,X19] :
( ( X1 = X9
& X16 = vempty )
=> ( X19 = vlookup(X1,X16)
=> X19 = vnoType ) ),
file('/export/starexec/sandbox/benchmark/Axioms/COM001+0.ax',lookup0) ).
fof('DIFF-var-app',axiom,
! [X1,X4,X6] : vvar(X1) != vapp(X4,X6),
file('/export/starexec/sandbox/benchmark/Axioms/COM001+0.ax','DIFF-var-app') ).
fof(getSomeExp0,axiom,
! [X25,X19,X11] :
( X25 = vsomeExp(X11)
=> ( X19 = vgetSomeExp(X25)
=> X19 = X11 ) ),
file('/export/starexec/sandbox/benchmark/Axioms/COM001+0.ax',getSomeExp0) ).
fof(getSomeType0,axiom,
! [X18,X19,X11] :
( X18 = vsomeType(X11)
=> ( X19 = vgetSomeType(X18)
=> X19 = X11 ) ),
file('/export/starexec/sandbox/benchmark/Axioms/COM001+0.ax',getSomeType0) ).
fof(reduce0,axiom,
! [X9,X4,X19] :
( X4 = vvar(X9)
=> ( X19 = vreduce(X4)
=> X19 = vnoExp ) ),
file('/export/starexec/sandbox/benchmark/Axioms/COM001+0.ax',reduce0) ).
fof('EQ-someExp',axiom,
! [X4,X6] :
( ( vsomeExp(X4) = vsomeExp(X6)
=> X4 = X6 )
& ( X4 = X6
=> vsomeExp(X4) = vsomeExp(X6) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/COM001+0.ax','EQ-someExp') ).
fof('EQ-someType',axiom,
! [X3,X5] :
( ( vsomeType(X3) = vsomeType(X5)
=> X3 = X5 )
& ( X3 = X5
=> vsomeType(X3) = vsomeType(X5) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/COM001+0.ax','EQ-someType') ).
fof('EQ-var',axiom,
! [X1,X2] :
( ( vvar(X1) = vvar(X2)
=> X1 = X2 )
& ( X1 = X2
=> vvar(X1) = vvar(X2) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/COM001+0.ax','EQ-var') ).
fof(isSomeExp1,axiom,
! [X11,X25] :
( X25 = vsomeExp(X11)
=> visSomeExp(X25) ),
file('/export/starexec/sandbox/benchmark/Axioms/COM001+0.ax',isSomeExp1) ).
fof(isSomeType1,axiom,
! [X11,X18] :
( X18 = vsomeType(X11)
=> visSomeType(X18) ),
file('/export/starexec/sandbox/benchmark/Axioms/COM001+0.ax',isSomeType1) ).
fof('DIFF-noExp-someExp',axiom,
! [X4] : vnoExp != vsomeExp(X4),
file('/export/starexec/sandbox/benchmark/Axioms/COM001+0.ax','DIFF-noExp-someExp') ).
fof('DIFF-noType-someType',axiom,
! [X3] : vnoType != vsomeType(X3),
file('/export/starexec/sandbox/benchmark/Axioms/COM001+0.ax','DIFF-noType-someType') ).
fof(i_0_54,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_55,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_56,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_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)) ) ) ),
inference(split_equiv,[status(thm)],[i_0_54]) ).
fof(i_0_58,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_59,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_55]),c_0_56]) ).
fof(i_0_60,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_55]) ).
fof(i_0_61,plain,
! [X1,X4,X6,X19] :
( epred1_4(X19,X6,X4,X1)
=> ( ? [X9,X21,X11] :
( X1 = X9
& X4 = X11
& X6 = vvar(X21)
& X9 = X21
& X19 = X11 )
| ? [X11,X9,X21] :
( X1 = X9
& X4 = X11
& X6 = vvar(X21)
& X9 != X21
& X19 = vvar(X21) ) ) ),
inference(split_equiv,[status(thm)],[i_0_56]) ).
fof(i_0_62,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_63,plain,
! [X656,X657] :
( ( X656 = vapp(vabs(esk68_2(X656,X657),esk66_2(X656,X657),esk70_2(X656,X657)),esk69_2(X656,X657))
| X656 = vapp(vabs(esk62_2(X656,X657),esk63_2(X656,X657),esk64_2(X656,X657)),esk61_2(X656,X657))
| X656 = vabs(esk58_2(X656,X657),esk59_2(X656,X657),esk60_2(X656,X657))
| X656 = vvar(esk57_2(X656,X657))
| ~ epred3_2(X657,X656) )
& ( esk67_2(X656,X657) = vreduce(esk69_2(X656,X657))
| X656 = vapp(vabs(esk62_2(X656,X657),esk63_2(X656,X657),esk64_2(X656,X657)),esk61_2(X656,X657))
| X656 = vabs(esk58_2(X656,X657),esk59_2(X656,X657),esk60_2(X656,X657))
| X656 = vvar(esk57_2(X656,X657))
| ~ epred3_2(X657,X656) )
& ( ~ visSomeExp(esk67_2(X656,X657))
| X656 = vapp(vabs(esk62_2(X656,X657),esk63_2(X656,X657),esk64_2(X656,X657)),esk61_2(X656,X657))
| X656 = vabs(esk58_2(X656,X657),esk59_2(X656,X657),esk60_2(X656,X657))
| X656 = vvar(esk57_2(X656,X657))
| ~ epred3_2(X657,X656) )
& ( visValue(esk69_2(X656,X657))
| X656 = vapp(vabs(esk62_2(X656,X657),esk63_2(X656,X657),esk64_2(X656,X657)),esk61_2(X656,X657))
| X656 = vabs(esk58_2(X656,X657),esk59_2(X656,X657),esk60_2(X656,X657))
| X656 = vvar(esk57_2(X656,X657))
| ~ epred3_2(X657,X656) )
& ( X657 = vsomeExp(vsubst(esk68_2(X656,X657),esk69_2(X656,X657),esk70_2(X656,X657)))
| X656 = vapp(vabs(esk62_2(X656,X657),esk63_2(X656,X657),esk64_2(X656,X657)),esk61_2(X656,X657))
| X656 = vabs(esk58_2(X656,X657),esk59_2(X656,X657),esk60_2(X656,X657))
| X656 = vvar(esk57_2(X656,X657))
| ~ epred3_2(X657,X656) )
& ( X656 = vapp(vabs(esk68_2(X656,X657),esk66_2(X656,X657),esk70_2(X656,X657)),esk69_2(X656,X657))
| esk65_2(X656,X657) = vreduce(esk61_2(X656,X657))
| X656 = vabs(esk58_2(X656,X657),esk59_2(X656,X657),esk60_2(X656,X657))
| X656 = vvar(esk57_2(X656,X657))
| ~ epred3_2(X657,X656) )
& ( esk67_2(X656,X657) = vreduce(esk69_2(X656,X657))
| esk65_2(X656,X657) = vreduce(esk61_2(X656,X657))
| X656 = vabs(esk58_2(X656,X657),esk59_2(X656,X657),esk60_2(X656,X657))
| X656 = vvar(esk57_2(X656,X657))
| ~ epred3_2(X657,X656) )
& ( ~ visSomeExp(esk67_2(X656,X657))
| esk65_2(X656,X657) = vreduce(esk61_2(X656,X657))
| X656 = vabs(esk58_2(X656,X657),esk59_2(X656,X657),esk60_2(X656,X657))
| X656 = vvar(esk57_2(X656,X657))
| ~ epred3_2(X657,X656) )
& ( visValue(esk69_2(X656,X657))
| esk65_2(X656,X657) = vreduce(esk61_2(X656,X657))
| X656 = vabs(esk58_2(X656,X657),esk59_2(X656,X657),esk60_2(X656,X657))
| X656 = vvar(esk57_2(X656,X657))
| ~ epred3_2(X657,X656) )
& ( X657 = vsomeExp(vsubst(esk68_2(X656,X657),esk69_2(X656,X657),esk70_2(X656,X657)))
| esk65_2(X656,X657) = vreduce(esk61_2(X656,X657))
| X656 = vabs(esk58_2(X656,X657),esk59_2(X656,X657),esk60_2(X656,X657))
| X656 = vvar(esk57_2(X656,X657))
| ~ epred3_2(X657,X656) )
& ( X656 = vapp(vabs(esk68_2(X656,X657),esk66_2(X656,X657),esk70_2(X656,X657)),esk69_2(X656,X657))
| visSomeExp(esk65_2(X656,X657))
| X656 = vabs(esk58_2(X656,X657),esk59_2(X656,X657),esk60_2(X656,X657))
| X656 = vvar(esk57_2(X656,X657))
| ~ epred3_2(X657,X656) )
& ( esk67_2(X656,X657) = vreduce(esk69_2(X656,X657))
| visSomeExp(esk65_2(X656,X657))
| X656 = vabs(esk58_2(X656,X657),esk59_2(X656,X657),esk60_2(X656,X657))
| X656 = vvar(esk57_2(X656,X657))
| ~ epred3_2(X657,X656) )
& ( ~ visSomeExp(esk67_2(X656,X657))
| visSomeExp(esk65_2(X656,X657))
| X656 = vabs(esk58_2(X656,X657),esk59_2(X656,X657),esk60_2(X656,X657))
| X656 = vvar(esk57_2(X656,X657))
| ~ epred3_2(X657,X656) )
& ( visValue(esk69_2(X656,X657))
| visSomeExp(esk65_2(X656,X657))
| X656 = vabs(esk58_2(X656,X657),esk59_2(X656,X657),esk60_2(X656,X657))
| X656 = vvar(esk57_2(X656,X657))
| ~ epred3_2(X657,X656) )
& ( X657 = vsomeExp(vsubst(esk68_2(X656,X657),esk69_2(X656,X657),esk70_2(X656,X657)))
| visSomeExp(esk65_2(X656,X657))
| X656 = vabs(esk58_2(X656,X657),esk59_2(X656,X657),esk60_2(X656,X657))
| X656 = vvar(esk57_2(X656,X657))
| ~ epred3_2(X657,X656) )
& ( X656 = vapp(vabs(esk68_2(X656,X657),esk66_2(X656,X657),esk70_2(X656,X657)),esk69_2(X656,X657))
| X657 = vsomeExp(vapp(vabs(esk62_2(X656,X657),esk63_2(X656,X657),esk64_2(X656,X657)),vgetSomeExp(esk65_2(X656,X657))))
| X656 = vabs(esk58_2(X656,X657),esk59_2(X656,X657),esk60_2(X656,X657))
| X656 = vvar(esk57_2(X656,X657))
| ~ epred3_2(X657,X656) )
& ( esk67_2(X656,X657) = vreduce(esk69_2(X656,X657))
| X657 = vsomeExp(vapp(vabs(esk62_2(X656,X657),esk63_2(X656,X657),esk64_2(X656,X657)),vgetSomeExp(esk65_2(X656,X657))))
| X656 = vabs(esk58_2(X656,X657),esk59_2(X656,X657),esk60_2(X656,X657))
| X656 = vvar(esk57_2(X656,X657))
| ~ epred3_2(X657,X656) )
& ( ~ visSomeExp(esk67_2(X656,X657))
| X657 = vsomeExp(vapp(vabs(esk62_2(X656,X657),esk63_2(X656,X657),esk64_2(X656,X657)),vgetSomeExp(esk65_2(X656,X657))))
| X656 = vabs(esk58_2(X656,X657),esk59_2(X656,X657),esk60_2(X656,X657))
| X656 = vvar(esk57_2(X656,X657))
| ~ epred3_2(X657,X656) )
& ( visValue(esk69_2(X656,X657))
| X657 = vsomeExp(vapp(vabs(esk62_2(X656,X657),esk63_2(X656,X657),esk64_2(X656,X657)),vgetSomeExp(esk65_2(X656,X657))))
| X656 = vabs(esk58_2(X656,X657),esk59_2(X656,X657),esk60_2(X656,X657))
| X656 = vvar(esk57_2(X656,X657))
| ~ epred3_2(X657,X656) )
& ( X657 = vsomeExp(vsubst(esk68_2(X656,X657),esk69_2(X656,X657),esk70_2(X656,X657)))
| X657 = vsomeExp(vapp(vabs(esk62_2(X656,X657),esk63_2(X656,X657),esk64_2(X656,X657)),vgetSomeExp(esk65_2(X656,X657))))
| X656 = vabs(esk58_2(X656,X657),esk59_2(X656,X657),esk60_2(X656,X657))
| X656 = vvar(esk57_2(X656,X657))
| ~ epred3_2(X657,X656) )
& ( X656 = vapp(vabs(esk68_2(X656,X657),esk66_2(X656,X657),esk70_2(X656,X657)),esk69_2(X656,X657))
| X656 = vapp(vabs(esk62_2(X656,X657),esk63_2(X656,X657),esk64_2(X656,X657)),esk61_2(X656,X657))
| X657 = vnoExp
| X656 = vvar(esk57_2(X656,X657))
| ~ epred3_2(X657,X656) )
& ( esk67_2(X656,X657) = vreduce(esk69_2(X656,X657))
| X656 = vapp(vabs(esk62_2(X656,X657),esk63_2(X656,X657),esk64_2(X656,X657)),esk61_2(X656,X657))
| X657 = vnoExp
| X656 = vvar(esk57_2(X656,X657))
| ~ epred3_2(X657,X656) )
& ( ~ visSomeExp(esk67_2(X656,X657))
| X656 = vapp(vabs(esk62_2(X656,X657),esk63_2(X656,X657),esk64_2(X656,X657)),esk61_2(X656,X657))
| X657 = vnoExp
| X656 = vvar(esk57_2(X656,X657))
| ~ epred3_2(X657,X656) )
& ( visValue(esk69_2(X656,X657))
| X656 = vapp(vabs(esk62_2(X656,X657),esk63_2(X656,X657),esk64_2(X656,X657)),esk61_2(X656,X657))
| X657 = vnoExp
| X656 = vvar(esk57_2(X656,X657))
| ~ epred3_2(X657,X656) )
& ( X657 = vsomeExp(vsubst(esk68_2(X656,X657),esk69_2(X656,X657),esk70_2(X656,X657)))
| X656 = vapp(vabs(esk62_2(X656,X657),esk63_2(X656,X657),esk64_2(X656,X657)),esk61_2(X656,X657))
| X657 = vnoExp
| X656 = vvar(esk57_2(X656,X657))
| ~ epred3_2(X657,X656) )
& ( X656 = vapp(vabs(esk68_2(X656,X657),esk66_2(X656,X657),esk70_2(X656,X657)),esk69_2(X656,X657))
| esk65_2(X656,X657) = vreduce(esk61_2(X656,X657))
| X657 = vnoExp
| X656 = vvar(esk57_2(X656,X657))
| ~ epred3_2(X657,X656) )
& ( esk67_2(X656,X657) = vreduce(esk69_2(X656,X657))
| esk65_2(X656,X657) = vreduce(esk61_2(X656,X657))
| X657 = vnoExp
| X656 = vvar(esk57_2(X656,X657))
| ~ epred3_2(X657,X656) )
& ( ~ visSomeExp(esk67_2(X656,X657))
| esk65_2(X656,X657) = vreduce(esk61_2(X656,X657))
| X657 = vnoExp
| X656 = vvar(esk57_2(X656,X657))
| ~ epred3_2(X657,X656) )
& ( visValue(esk69_2(X656,X657))
| esk65_2(X656,X657) = vreduce(esk61_2(X656,X657))
| X657 = vnoExp
| X656 = vvar(esk57_2(X656,X657))
| ~ epred3_2(X657,X656) )
& ( X657 = vsomeExp(vsubst(esk68_2(X656,X657),esk69_2(X656,X657),esk70_2(X656,X657)))
| esk65_2(X656,X657) = vreduce(esk61_2(X656,X657))
| X657 = vnoExp
| X656 = vvar(esk57_2(X656,X657))
| ~ epred3_2(X657,X656) )
& ( X656 = vapp(vabs(esk68_2(X656,X657),esk66_2(X656,X657),esk70_2(X656,X657)),esk69_2(X656,X657))
| visSomeExp(esk65_2(X656,X657))
| X657 = vnoExp
| X656 = vvar(esk57_2(X656,X657))
| ~ epred3_2(X657,X656) )
& ( esk67_2(X656,X657) = vreduce(esk69_2(X656,X657))
| visSomeExp(esk65_2(X656,X657))
| X657 = vnoExp
| X656 = vvar(esk57_2(X656,X657))
| ~ epred3_2(X657,X656) )
& ( ~ visSomeExp(esk67_2(X656,X657))
| visSomeExp(esk65_2(X656,X657))
| X657 = vnoExp
| X656 = vvar(esk57_2(X656,X657))
| ~ epred3_2(X657,X656) )
& ( visValue(esk69_2(X656,X657))
| visSomeExp(esk65_2(X656,X657))
| X657 = vnoExp
| X656 = vvar(esk57_2(X656,X657))
| ~ epred3_2(X657,X656) )
& ( X657 = vsomeExp(vsubst(esk68_2(X656,X657),esk69_2(X656,X657),esk70_2(X656,X657)))
| visSomeExp(esk65_2(X656,X657))
| X657 = vnoExp
| X656 = vvar(esk57_2(X656,X657))
| ~ epred3_2(X657,X656) )
& ( X656 = vapp(vabs(esk68_2(X656,X657),esk66_2(X656,X657),esk70_2(X656,X657)),esk69_2(X656,X657))
| X657 = vsomeExp(vapp(vabs(esk62_2(X656,X657),esk63_2(X656,X657),esk64_2(X656,X657)),vgetSomeExp(esk65_2(X656,X657))))
| X657 = vnoExp
| X656 = vvar(esk57_2(X656,X657))
| ~ epred3_2(X657,X656) )
& ( esk67_2(X656,X657) = vreduce(esk69_2(X656,X657))
| X657 = vsomeExp(vapp(vabs(esk62_2(X656,X657),esk63_2(X656,X657),esk64_2(X656,X657)),vgetSomeExp(esk65_2(X656,X657))))
| X657 = vnoExp
| X656 = vvar(esk57_2(X656,X657))
| ~ epred3_2(X657,X656) )
& ( ~ visSomeExp(esk67_2(X656,X657))
| X657 = vsomeExp(vapp(vabs(esk62_2(X656,X657),esk63_2(X656,X657),esk64_2(X656,X657)),vgetSomeExp(esk65_2(X656,X657))))
| X657 = vnoExp
| X656 = vvar(esk57_2(X656,X657))
| ~ epred3_2(X657,X656) )
& ( visValue(esk69_2(X656,X657))
| X657 = vsomeExp(vapp(vabs(esk62_2(X656,X657),esk63_2(X656,X657),esk64_2(X656,X657)),vgetSomeExp(esk65_2(X656,X657))))
| X657 = vnoExp
| X656 = vvar(esk57_2(X656,X657))
| ~ epred3_2(X657,X656) )
& ( X657 = vsomeExp(vsubst(esk68_2(X656,X657),esk69_2(X656,X657),esk70_2(X656,X657)))
| X657 = vsomeExp(vapp(vabs(esk62_2(X656,X657),esk63_2(X656,X657),esk64_2(X656,X657)),vgetSomeExp(esk65_2(X656,X657))))
| X657 = vnoExp
| X656 = vvar(esk57_2(X656,X657))
| ~ epred3_2(X657,X656) )
& ( X656 = vapp(vabs(esk68_2(X656,X657),esk66_2(X656,X657),esk70_2(X656,X657)),esk69_2(X656,X657))
| X656 = vapp(vabs(esk62_2(X656,X657),esk63_2(X656,X657),esk64_2(X656,X657)),esk61_2(X656,X657))
| X656 = vabs(esk58_2(X656,X657),esk59_2(X656,X657),esk60_2(X656,X657))
| X657 = vnoExp
| ~ epred3_2(X657,X656) )
& ( esk67_2(X656,X657) = vreduce(esk69_2(X656,X657))
| X656 = vapp(vabs(esk62_2(X656,X657),esk63_2(X656,X657),esk64_2(X656,X657)),esk61_2(X656,X657))
| X656 = vabs(esk58_2(X656,X657),esk59_2(X656,X657),esk60_2(X656,X657))
| X657 = vnoExp
| ~ epred3_2(X657,X656) )
& ( ~ visSomeExp(esk67_2(X656,X657))
| X656 = vapp(vabs(esk62_2(X656,X657),esk63_2(X656,X657),esk64_2(X656,X657)),esk61_2(X656,X657))
| X656 = vabs(esk58_2(X656,X657),esk59_2(X656,X657),esk60_2(X656,X657))
| X657 = vnoExp
| ~ epred3_2(X657,X656) )
& ( visValue(esk69_2(X656,X657))
| X656 = vapp(vabs(esk62_2(X656,X657),esk63_2(X656,X657),esk64_2(X656,X657)),esk61_2(X656,X657))
| X656 = vabs(esk58_2(X656,X657),esk59_2(X656,X657),esk60_2(X656,X657))
| X657 = vnoExp
| ~ epred3_2(X657,X656) )
& ( X657 = vsomeExp(vsubst(esk68_2(X656,X657),esk69_2(X656,X657),esk70_2(X656,X657)))
| X656 = vapp(vabs(esk62_2(X656,X657),esk63_2(X656,X657),esk64_2(X656,X657)),esk61_2(X656,X657))
| X656 = vabs(esk58_2(X656,X657),esk59_2(X656,X657),esk60_2(X656,X657))
| X657 = vnoExp
| ~ epred3_2(X657,X656) )
& ( X656 = vapp(vabs(esk68_2(X656,X657),esk66_2(X656,X657),esk70_2(X656,X657)),esk69_2(X656,X657))
| esk65_2(X656,X657) = vreduce(esk61_2(X656,X657))
| X656 = vabs(esk58_2(X656,X657),esk59_2(X656,X657),esk60_2(X656,X657))
| X657 = vnoExp
| ~ epred3_2(X657,X656) )
& ( esk67_2(X656,X657) = vreduce(esk69_2(X656,X657))
| esk65_2(X656,X657) = vreduce(esk61_2(X656,X657))
| X656 = vabs(esk58_2(X656,X657),esk59_2(X656,X657),esk60_2(X656,X657))
| X657 = vnoExp
| ~ epred3_2(X657,X656) )
& ( ~ visSomeExp(esk67_2(X656,X657))
| esk65_2(X656,X657) = vreduce(esk61_2(X656,X657))
| X656 = vabs(esk58_2(X656,X657),esk59_2(X656,X657),esk60_2(X656,X657))
| X657 = vnoExp
| ~ epred3_2(X657,X656) )
& ( visValue(esk69_2(X656,X657))
| esk65_2(X656,X657) = vreduce(esk61_2(X656,X657))
| X656 = vabs(esk58_2(X656,X657),esk59_2(X656,X657),esk60_2(X656,X657))
| X657 = vnoExp
| ~ epred3_2(X657,X656) )
& ( X657 = vsomeExp(vsubst(esk68_2(X656,X657),esk69_2(X656,X657),esk70_2(X656,X657)))
| esk65_2(X656,X657) = vreduce(esk61_2(X656,X657))
| X656 = vabs(esk58_2(X656,X657),esk59_2(X656,X657),esk60_2(X656,X657))
| X657 = vnoExp
| ~ epred3_2(X657,X656) )
& ( X656 = vapp(vabs(esk68_2(X656,X657),esk66_2(X656,X657),esk70_2(X656,X657)),esk69_2(X656,X657))
| visSomeExp(esk65_2(X656,X657))
| X656 = vabs(esk58_2(X656,X657),esk59_2(X656,X657),esk60_2(X656,X657))
| X657 = vnoExp
| ~ epred3_2(X657,X656) )
& ( esk67_2(X656,X657) = vreduce(esk69_2(X656,X657))
| visSomeExp(esk65_2(X656,X657))
| X656 = vabs(esk58_2(X656,X657),esk59_2(X656,X657),esk60_2(X656,X657))
| X657 = vnoExp
| ~ epred3_2(X657,X656) )
& ( ~ visSomeExp(esk67_2(X656,X657))
| visSomeExp(esk65_2(X656,X657))
| X656 = vabs(esk58_2(X656,X657),esk59_2(X656,X657),esk60_2(X656,X657))
| X657 = vnoExp
| ~ epred3_2(X657,X656) )
& ( visValue(esk69_2(X656,X657))
| visSomeExp(esk65_2(X656,X657))
| X656 = vabs(esk58_2(X656,X657),esk59_2(X656,X657),esk60_2(X656,X657))
| X657 = vnoExp
| ~ epred3_2(X657,X656) )
& ( X657 = vsomeExp(vsubst(esk68_2(X656,X657),esk69_2(X656,X657),esk70_2(X656,X657)))
| visSomeExp(esk65_2(X656,X657))
| X656 = vabs(esk58_2(X656,X657),esk59_2(X656,X657),esk60_2(X656,X657))
| X657 = vnoExp
| ~ epred3_2(X657,X656) )
& ( X656 = vapp(vabs(esk68_2(X656,X657),esk66_2(X656,X657),esk70_2(X656,X657)),esk69_2(X656,X657))
| X657 = vsomeExp(vapp(vabs(esk62_2(X656,X657),esk63_2(X656,X657),esk64_2(X656,X657)),vgetSomeExp(esk65_2(X656,X657))))
| X656 = vabs(esk58_2(X656,X657),esk59_2(X656,X657),esk60_2(X656,X657))
| X657 = vnoExp
| ~ epred3_2(X657,X656) )
& ( esk67_2(X656,X657) = vreduce(esk69_2(X656,X657))
| X657 = vsomeExp(vapp(vabs(esk62_2(X656,X657),esk63_2(X656,X657),esk64_2(X656,X657)),vgetSomeExp(esk65_2(X656,X657))))
| X656 = vabs(esk58_2(X656,X657),esk59_2(X656,X657),esk60_2(X656,X657))
| X657 = vnoExp
| ~ epred3_2(X657,X656) )
& ( ~ visSomeExp(esk67_2(X656,X657))
| X657 = vsomeExp(vapp(vabs(esk62_2(X656,X657),esk63_2(X656,X657),esk64_2(X656,X657)),vgetSomeExp(esk65_2(X656,X657))))
| X656 = vabs(esk58_2(X656,X657),esk59_2(X656,X657),esk60_2(X656,X657))
| X657 = vnoExp
| ~ epred3_2(X657,X656) )
& ( visValue(esk69_2(X656,X657))
| X657 = vsomeExp(vapp(vabs(esk62_2(X656,X657),esk63_2(X656,X657),esk64_2(X656,X657)),vgetSomeExp(esk65_2(X656,X657))))
| X656 = vabs(esk58_2(X656,X657),esk59_2(X656,X657),esk60_2(X656,X657))
| X657 = vnoExp
| ~ epred3_2(X657,X656) )
& ( X657 = vsomeExp(vsubst(esk68_2(X656,X657),esk69_2(X656,X657),esk70_2(X656,X657)))
| X657 = vsomeExp(vapp(vabs(esk62_2(X656,X657),esk63_2(X656,X657),esk64_2(X656,X657)),vgetSomeExp(esk65_2(X656,X657))))
| X656 = vabs(esk58_2(X656,X657),esk59_2(X656,X657),esk60_2(X656,X657))
| X657 = vnoExp
| ~ epred3_2(X657,X656) )
& ( X656 = vapp(vabs(esk68_2(X656,X657),esk66_2(X656,X657),esk70_2(X656,X657)),esk69_2(X656,X657))
| X656 = vapp(vabs(esk62_2(X656,X657),esk63_2(X656,X657),esk64_2(X656,X657)),esk61_2(X656,X657))
| X657 = vnoExp
| X657 = vnoExp
| ~ epred3_2(X657,X656) )
& ( esk67_2(X656,X657) = vreduce(esk69_2(X656,X657))
| X656 = vapp(vabs(esk62_2(X656,X657),esk63_2(X656,X657),esk64_2(X656,X657)),esk61_2(X656,X657))
| X657 = vnoExp
| X657 = vnoExp
| ~ epred3_2(X657,X656) )
& ( ~ visSomeExp(esk67_2(X656,X657))
| X656 = vapp(vabs(esk62_2(X656,X657),esk63_2(X656,X657),esk64_2(X656,X657)),esk61_2(X656,X657))
| X657 = vnoExp
| X657 = vnoExp
| ~ epred3_2(X657,X656) )
& ( visValue(esk69_2(X656,X657))
| X656 = vapp(vabs(esk62_2(X656,X657),esk63_2(X656,X657),esk64_2(X656,X657)),esk61_2(X656,X657))
| X657 = vnoExp
| X657 = vnoExp
| ~ epred3_2(X657,X656) )
& ( X657 = vsomeExp(vsubst(esk68_2(X656,X657),esk69_2(X656,X657),esk70_2(X656,X657)))
| X656 = vapp(vabs(esk62_2(X656,X657),esk63_2(X656,X657),esk64_2(X656,X657)),esk61_2(X656,X657))
| X657 = vnoExp
| X657 = vnoExp
| ~ epred3_2(X657,X656) )
& ( X656 = vapp(vabs(esk68_2(X656,X657),esk66_2(X656,X657),esk70_2(X656,X657)),esk69_2(X656,X657))
| esk65_2(X656,X657) = vreduce(esk61_2(X656,X657))
| X657 = vnoExp
| X657 = vnoExp
| ~ epred3_2(X657,X656) )
& ( esk67_2(X656,X657) = vreduce(esk69_2(X656,X657))
| esk65_2(X656,X657) = vreduce(esk61_2(X656,X657))
| X657 = vnoExp
| X657 = vnoExp
| ~ epred3_2(X657,X656) )
& ( ~ visSomeExp(esk67_2(X656,X657))
| esk65_2(X656,X657) = vreduce(esk61_2(X656,X657))
| X657 = vnoExp
| X657 = vnoExp
| ~ epred3_2(X657,X656) )
& ( visValue(esk69_2(X656,X657))
| esk65_2(X656,X657) = vreduce(esk61_2(X656,X657))
| X657 = vnoExp
| X657 = vnoExp
| ~ epred3_2(X657,X656) )
& ( X657 = vsomeExp(vsubst(esk68_2(X656,X657),esk69_2(X656,X657),esk70_2(X656,X657)))
| esk65_2(X656,X657) = vreduce(esk61_2(X656,X657))
| X657 = vnoExp
| X657 = vnoExp
| ~ epred3_2(X657,X656) )
& ( X656 = vapp(vabs(esk68_2(X656,X657),esk66_2(X656,X657),esk70_2(X656,X657)),esk69_2(X656,X657))
| visSomeExp(esk65_2(X656,X657))
| X657 = vnoExp
| X657 = vnoExp
| ~ epred3_2(X657,X656) )
& ( esk67_2(X656,X657) = vreduce(esk69_2(X656,X657))
| visSomeExp(esk65_2(X656,X657))
| X657 = vnoExp
| X657 = vnoExp
| ~ epred3_2(X657,X656) )
& ( ~ visSomeExp(esk67_2(X656,X657))
| visSomeExp(esk65_2(X656,X657))
| X657 = vnoExp
| X657 = vnoExp
| ~ epred3_2(X657,X656) )
& ( visValue(esk69_2(X656,X657))
| visSomeExp(esk65_2(X656,X657))
| X657 = vnoExp
| X657 = vnoExp
| ~ epred3_2(X657,X656) )
& ( X657 = vsomeExp(vsubst(esk68_2(X656,X657),esk69_2(X656,X657),esk70_2(X656,X657)))
| visSomeExp(esk65_2(X656,X657))
| X657 = vnoExp
| X657 = vnoExp
| ~ epred3_2(X657,X656) )
& ( X656 = vapp(vabs(esk68_2(X656,X657),esk66_2(X656,X657),esk70_2(X656,X657)),esk69_2(X656,X657))
| X657 = vsomeExp(vapp(vabs(esk62_2(X656,X657),esk63_2(X656,X657),esk64_2(X656,X657)),vgetSomeExp(esk65_2(X656,X657))))
| X657 = vnoExp
| X657 = vnoExp
| ~ epred3_2(X657,X656) )
& ( esk67_2(X656,X657) = vreduce(esk69_2(X656,X657))
| X657 = vsomeExp(vapp(vabs(esk62_2(X656,X657),esk63_2(X656,X657),esk64_2(X656,X657)),vgetSomeExp(esk65_2(X656,X657))))
| X657 = vnoExp
| X657 = vnoExp
| ~ epred3_2(X657,X656) )
& ( ~ visSomeExp(esk67_2(X656,X657))
| X657 = vsomeExp(vapp(vabs(esk62_2(X656,X657),esk63_2(X656,X657),esk64_2(X656,X657)),vgetSomeExp(esk65_2(X656,X657))))
| X657 = vnoExp
| X657 = vnoExp
| ~ epred3_2(X657,X656) )
& ( visValue(esk69_2(X656,X657))
| X657 = vsomeExp(vapp(vabs(esk62_2(X656,X657),esk63_2(X656,X657),esk64_2(X656,X657)),vgetSomeExp(esk65_2(X656,X657))))
| X657 = vnoExp
| X657 = vnoExp
| ~ epred3_2(X657,X656) )
& ( X657 = vsomeExp(vsubst(esk68_2(X656,X657),esk69_2(X656,X657),esk70_2(X656,X657)))
| X657 = vsomeExp(vapp(vabs(esk62_2(X656,X657),esk63_2(X656,X657),esk64_2(X656,X657)),vgetSomeExp(esk65_2(X656,X657))))
| X657 = vnoExp
| X657 = vnoExp
| ~ epred3_2(X657,X656) ) ),
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_57])])])])]) ).
fof(i_0_64,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_58]),c_0_54]) ).
fof(i_0_65,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_66,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_67,negated_conjecture,
~ ! [X9,X10,X20,X15] :
( ( vlookup(X9,X20) = vnoType
& vtcheck(X20,vapp(ve1app,ve2app),X15) )
=> vtcheck(vbind(X9,X10,X20),vapp(ve1app,ve2app),X15) ),
inference(assume_negation,[status(cth)],['T-Weak-app']) ).
fof(i_0_68,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_69,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_58]) ).
fof(i_0_70,plain,
! [X12,X13,X4] :
( X4 = vapp(X12,X13)
=> ~ visValue(X4) ),
inference(fof_simplification,[status(thm)],[isValue2]) ).
fof(i_0_71,plain,
! [X14,X11] :
( vgensym(X11) = X14
=> ~ visFreeVar(X14,X11) ),
inference(fof_simplification,[status(thm)],['gensym-is-fresh']) ).
fof(i_0_72,plain,
! [X9,X4] :
( X4 = vvar(X9)
=> ~ visValue(X4) ),
inference(fof_simplification,[status(thm)],[isValue1]) ).
fof(i_0_73,plain,
! [X25] :
( X25 = vnoExp
=> ~ visSomeExp(X25) ),
inference(fof_simplification,[status(thm)],[isSomeExp0]) ).
fof(i_0_74,plain,
! [X18] :
( X18 = vnoType
=> ~ visSomeType(X18) ),
inference(fof_simplification,[status(thm)],[isSomeType0]) ).
fof(i_0_75,plain,
! [X637,X638,X639,X640] :
( ( X637 = esk51_4(X637,X638,X639,X640)
| X637 = esk47_4(X637,X638,X639,X640)
| X637 = esk43_4(X637,X638,X639,X640)
| epred1_4(X640,X639,X638,X637)
| ~ epred2_4(X640,X639,X638,X637) )
& ( X638 = esk52_4(X637,X638,X639,X640)
| X637 = esk47_4(X637,X638,X639,X640)
| X637 = esk43_4(X637,X638,X639,X640)
| epred1_4(X640,X639,X638,X637)
| ~ epred2_4(X640,X639,X638,X637) )
& ( X639 = vabs(esk54_4(X637,X638,X639,X640),esk53_4(X637,X638,X639,X640),esk56_4(X637,X638,X639,X640))
| X637 = esk47_4(X637,X638,X639,X640)
| X637 = esk43_4(X637,X638,X639,X640)
| epred1_4(X640,X639,X638,X637)
| ~ epred2_4(X640,X639,X638,X637) )
& ( esk51_4(X637,X638,X639,X640) != esk54_4(X637,X638,X639,X640)
| X637 = esk47_4(X637,X638,X639,X640)
| X637 = esk43_4(X637,X638,X639,X640)
| epred1_4(X640,X639,X638,X637)
| ~ epred2_4(X640,X639,X638,X637) )
& ( visFreeVar(esk54_4(X637,X638,X639,X640),esk52_4(X637,X638,X639,X640))
| X637 = esk47_4(X637,X638,X639,X640)
| X637 = esk43_4(X637,X638,X639,X640)
| epred1_4(X640,X639,X638,X637)
| ~ epred2_4(X640,X639,X638,X637) )
& ( esk55_4(X637,X638,X639,X640) = vgensym(vapp(vapp(esk52_4(X637,X638,X639,X640),esk56_4(X637,X638,X639,X640)),vvar(esk51_4(X637,X638,X639,X640))))
| X637 = esk47_4(X637,X638,X639,X640)
| X637 = esk43_4(X637,X638,X639,X640)
| epred1_4(X640,X639,X638,X637)
| ~ epred2_4(X640,X639,X638,X637) )
& ( X640 = vsubst(esk51_4(X637,X638,X639,X640),esk52_4(X637,X638,X639,X640),vabs(esk55_4(X637,X638,X639,X640),esk53_4(X637,X638,X639,X640),vsubst(esk54_4(X637,X638,X639,X640),vvar(esk55_4(X637,X638,X639,X640)),esk56_4(X637,X638,X639,X640))))
| X637 = esk47_4(X637,X638,X639,X640)
| X637 = esk43_4(X637,X638,X639,X640)
| epred1_4(X640,X639,X638,X637)
| ~ epred2_4(X640,X639,X638,X637) )
& ( X637 = esk51_4(X637,X638,X639,X640)
| X638 = esk46_4(X637,X638,X639,X640)
| X637 = esk43_4(X637,X638,X639,X640)
| epred1_4(X640,X639,X638,X637)
| ~ epred2_4(X640,X639,X638,X637) )
& ( X638 = esk52_4(X637,X638,X639,X640)
| X638 = esk46_4(X637,X638,X639,X640)
| X637 = esk43_4(X637,X638,X639,X640)
| epred1_4(X640,X639,X638,X637)
| ~ epred2_4(X640,X639,X638,X637) )
& ( X639 = vabs(esk54_4(X637,X638,X639,X640),esk53_4(X637,X638,X639,X640),esk56_4(X637,X638,X639,X640))
| X638 = esk46_4(X637,X638,X639,X640)
| X637 = esk43_4(X637,X638,X639,X640)
| epred1_4(X640,X639,X638,X637)
| ~ epred2_4(X640,X639,X638,X637) )
& ( esk51_4(X637,X638,X639,X640) != esk54_4(X637,X638,X639,X640)
| X638 = esk46_4(X637,X638,X639,X640)
| X637 = esk43_4(X637,X638,X639,X640)
| epred1_4(X640,X639,X638,X637)
| ~ epred2_4(X640,X639,X638,X637) )
& ( visFreeVar(esk54_4(X637,X638,X639,X640),esk52_4(X637,X638,X639,X640))
| X638 = esk46_4(X637,X638,X639,X640)
| X637 = esk43_4(X637,X638,X639,X640)
| epred1_4(X640,X639,X638,X637)
| ~ epred2_4(X640,X639,X638,X637) )
& ( esk55_4(X637,X638,X639,X640) = vgensym(vapp(vapp(esk52_4(X637,X638,X639,X640),esk56_4(X637,X638,X639,X640)),vvar(esk51_4(X637,X638,X639,X640))))
| X638 = esk46_4(X637,X638,X639,X640)
| X637 = esk43_4(X637,X638,X639,X640)
| epred1_4(X640,X639,X638,X637)
| ~ epred2_4(X640,X639,X638,X637) )
& ( X640 = vsubst(esk51_4(X637,X638,X639,X640),esk52_4(X637,X638,X639,X640),vabs(esk55_4(X637,X638,X639,X640),esk53_4(X637,X638,X639,X640),vsubst(esk54_4(X637,X638,X639,X640),vvar(esk55_4(X637,X638,X639,X640)),esk56_4(X637,X638,X639,X640))))
| X638 = esk46_4(X637,X638,X639,X640)
| X637 = esk43_4(X637,X638,X639,X640)
| epred1_4(X640,X639,X638,X637)
| ~ epred2_4(X640,X639,X638,X637) )
& ( X637 = esk51_4(X637,X638,X639,X640)
| X639 = vabs(esk48_4(X637,X638,X639,X640),esk49_4(X637,X638,X639,X640),esk50_4(X637,X638,X639,X640))
| X637 = esk43_4(X637,X638,X639,X640)
| epred1_4(X640,X639,X638,X637)
| ~ epred2_4(X640,X639,X638,X637) )
& ( X638 = esk52_4(X637,X638,X639,X640)
| X639 = vabs(esk48_4(X637,X638,X639,X640),esk49_4(X637,X638,X639,X640),esk50_4(X637,X638,X639,X640))
| X637 = esk43_4(X637,X638,X639,X640)
| epred1_4(X640,X639,X638,X637)
| ~ epred2_4(X640,X639,X638,X637) )
& ( X639 = vabs(esk54_4(X637,X638,X639,X640),esk53_4(X637,X638,X639,X640),esk56_4(X637,X638,X639,X640))
| X639 = vabs(esk48_4(X637,X638,X639,X640),esk49_4(X637,X638,X639,X640),esk50_4(X637,X638,X639,X640))
| X637 = esk43_4(X637,X638,X639,X640)
| epred1_4(X640,X639,X638,X637)
| ~ epred2_4(X640,X639,X638,X637) )
& ( esk51_4(X637,X638,X639,X640) != esk54_4(X637,X638,X639,X640)
| X639 = vabs(esk48_4(X637,X638,X639,X640),esk49_4(X637,X638,X639,X640),esk50_4(X637,X638,X639,X640))
| X637 = esk43_4(X637,X638,X639,X640)
| epred1_4(X640,X639,X638,X637)
| ~ epred2_4(X640,X639,X638,X637) )
& ( visFreeVar(esk54_4(X637,X638,X639,X640),esk52_4(X637,X638,X639,X640))
| X639 = vabs(esk48_4(X637,X638,X639,X640),esk49_4(X637,X638,X639,X640),esk50_4(X637,X638,X639,X640))
| X637 = esk43_4(X637,X638,X639,X640)
| epred1_4(X640,X639,X638,X637)
| ~ epred2_4(X640,X639,X638,X637) )
& ( esk55_4(X637,X638,X639,X640) = vgensym(vapp(vapp(esk52_4(X637,X638,X639,X640),esk56_4(X637,X638,X639,X640)),vvar(esk51_4(X637,X638,X639,X640))))
| X639 = vabs(esk48_4(X637,X638,X639,X640),esk49_4(X637,X638,X639,X640),esk50_4(X637,X638,X639,X640))
| X637 = esk43_4(X637,X638,X639,X640)
| epred1_4(X640,X639,X638,X637)
| ~ epred2_4(X640,X639,X638,X637) )
& ( X640 = vsubst(esk51_4(X637,X638,X639,X640),esk52_4(X637,X638,X639,X640),vabs(esk55_4(X637,X638,X639,X640),esk53_4(X637,X638,X639,X640),vsubst(esk54_4(X637,X638,X639,X640),vvar(esk55_4(X637,X638,X639,X640)),esk56_4(X637,X638,X639,X640))))
| X639 = vabs(esk48_4(X637,X638,X639,X640),esk49_4(X637,X638,X639,X640),esk50_4(X637,X638,X639,X640))
| X637 = esk43_4(X637,X638,X639,X640)
| epred1_4(X640,X639,X638,X637)
| ~ epred2_4(X640,X639,X638,X637) )
& ( X637 = esk51_4(X637,X638,X639,X640)
| esk47_4(X637,X638,X639,X640) = esk48_4(X637,X638,X639,X640)
| X637 = esk43_4(X637,X638,X639,X640)
| epred1_4(X640,X639,X638,X637)
| ~ epred2_4(X640,X639,X638,X637) )
& ( X638 = esk52_4(X637,X638,X639,X640)
| esk47_4(X637,X638,X639,X640) = esk48_4(X637,X638,X639,X640)
| X637 = esk43_4(X637,X638,X639,X640)
| epred1_4(X640,X639,X638,X637)
| ~ epred2_4(X640,X639,X638,X637) )
& ( X639 = vabs(esk54_4(X637,X638,X639,X640),esk53_4(X637,X638,X639,X640),esk56_4(X637,X638,X639,X640))
| esk47_4(X637,X638,X639,X640) = esk48_4(X637,X638,X639,X640)
| X637 = esk43_4(X637,X638,X639,X640)
| epred1_4(X640,X639,X638,X637)
| ~ epred2_4(X640,X639,X638,X637) )
& ( esk51_4(X637,X638,X639,X640) != esk54_4(X637,X638,X639,X640)
| esk47_4(X637,X638,X639,X640) = esk48_4(X637,X638,X639,X640)
| X637 = esk43_4(X637,X638,X639,X640)
| epred1_4(X640,X639,X638,X637)
| ~ epred2_4(X640,X639,X638,X637) )
& ( visFreeVar(esk54_4(X637,X638,X639,X640),esk52_4(X637,X638,X639,X640))
| esk47_4(X637,X638,X639,X640) = esk48_4(X637,X638,X639,X640)
| X637 = esk43_4(X637,X638,X639,X640)
| epred1_4(X640,X639,X638,X637)
| ~ epred2_4(X640,X639,X638,X637) )
& ( esk55_4(X637,X638,X639,X640) = vgensym(vapp(vapp(esk52_4(X637,X638,X639,X640),esk56_4(X637,X638,X639,X640)),vvar(esk51_4(X637,X638,X639,X640))))
| esk47_4(X637,X638,X639,X640) = esk48_4(X637,X638,X639,X640)
| X637 = esk43_4(X637,X638,X639,X640)
| epred1_4(X640,X639,X638,X637)
| ~ epred2_4(X640,X639,X638,X637) )
& ( X640 = vsubst(esk51_4(X637,X638,X639,X640),esk52_4(X637,X638,X639,X640),vabs(esk55_4(X637,X638,X639,X640),esk53_4(X637,X638,X639,X640),vsubst(esk54_4(X637,X638,X639,X640),vvar(esk55_4(X637,X638,X639,X640)),esk56_4(X637,X638,X639,X640))))
| esk47_4(X637,X638,X639,X640) = esk48_4(X637,X638,X639,X640)
| X637 = esk43_4(X637,X638,X639,X640)
| epred1_4(X640,X639,X638,X637)
| ~ epred2_4(X640,X639,X638,X637) )
& ( X637 = esk51_4(X637,X638,X639,X640)
| X640 = vabs(esk48_4(X637,X638,X639,X640),esk49_4(X637,X638,X639,X640),esk50_4(X637,X638,X639,X640))
| X637 = esk43_4(X637,X638,X639,X640)
| epred1_4(X640,X639,X638,X637)
| ~ epred2_4(X640,X639,X638,X637) )
& ( X638 = esk52_4(X637,X638,X639,X640)
| X640 = vabs(esk48_4(X637,X638,X639,X640),esk49_4(X637,X638,X639,X640),esk50_4(X637,X638,X639,X640))
| X637 = esk43_4(X637,X638,X639,X640)
| epred1_4(X640,X639,X638,X637)
| ~ epred2_4(X640,X639,X638,X637) )
& ( X639 = vabs(esk54_4(X637,X638,X639,X640),esk53_4(X637,X638,X639,X640),esk56_4(X637,X638,X639,X640))
| X640 = vabs(esk48_4(X637,X638,X639,X640),esk49_4(X637,X638,X639,X640),esk50_4(X637,X638,X639,X640))
| X637 = esk43_4(X637,X638,X639,X640)
| epred1_4(X640,X639,X638,X637)
| ~ epred2_4(X640,X639,X638,X637) )
& ( esk51_4(X637,X638,X639,X640) != esk54_4(X637,X638,X639,X640)
| X640 = vabs(esk48_4(X637,X638,X639,X640),esk49_4(X637,X638,X639,X640),esk50_4(X637,X638,X639,X640))
| X637 = esk43_4(X637,X638,X639,X640)
| epred1_4(X640,X639,X638,X637)
| ~ epred2_4(X640,X639,X638,X637) )
& ( visFreeVar(esk54_4(X637,X638,X639,X640),esk52_4(X637,X638,X639,X640))
| X640 = vabs(esk48_4(X637,X638,X639,X640),esk49_4(X637,X638,X639,X640),esk50_4(X637,X638,X639,X640))
| X637 = esk43_4(X637,X638,X639,X640)
| epred1_4(X640,X639,X638,X637)
| ~ epred2_4(X640,X639,X638,X637) )
& ( esk55_4(X637,X638,X639,X640) = vgensym(vapp(vapp(esk52_4(X637,X638,X639,X640),esk56_4(X637,X638,X639,X640)),vvar(esk51_4(X637,X638,X639,X640))))
| X640 = vabs(esk48_4(X637,X638,X639,X640),esk49_4(X637,X638,X639,X640),esk50_4(X637,X638,X639,X640))
| X637 = esk43_4(X637,X638,X639,X640)
| epred1_4(X640,X639,X638,X637)
| ~ epred2_4(X640,X639,X638,X637) )
& ( X640 = vsubst(esk51_4(X637,X638,X639,X640),esk52_4(X637,X638,X639,X640),vabs(esk55_4(X637,X638,X639,X640),esk53_4(X637,X638,X639,X640),vsubst(esk54_4(X637,X638,X639,X640),vvar(esk55_4(X637,X638,X639,X640)),esk56_4(X637,X638,X639,X640))))
| X640 = vabs(esk48_4(X637,X638,X639,X640),esk49_4(X637,X638,X639,X640),esk50_4(X637,X638,X639,X640))
| X637 = esk43_4(X637,X638,X639,X640)
| epred1_4(X640,X639,X638,X637)
| ~ epred2_4(X640,X639,X638,X637) )
& ( X637 = esk51_4(X637,X638,X639,X640)
| X637 = esk47_4(X637,X638,X639,X640)
| X638 = esk44_4(X637,X638,X639,X640)
| epred1_4(X640,X639,X638,X637)
| ~ epred2_4(X640,X639,X638,X637) )
& ( X638 = esk52_4(X637,X638,X639,X640)
| X637 = esk47_4(X637,X638,X639,X640)
| X638 = esk44_4(X637,X638,X639,X640)
| epred1_4(X640,X639,X638,X637)
| ~ epred2_4(X640,X639,X638,X637) )
& ( X639 = vabs(esk54_4(X637,X638,X639,X640),esk53_4(X637,X638,X639,X640),esk56_4(X637,X638,X639,X640))
| X637 = esk47_4(X637,X638,X639,X640)
| X638 = esk44_4(X637,X638,X639,X640)
| epred1_4(X640,X639,X638,X637)
| ~ epred2_4(X640,X639,X638,X637) )
& ( esk51_4(X637,X638,X639,X640) != esk54_4(X637,X638,X639,X640)
| X637 = esk47_4(X637,X638,X639,X640)
| X638 = esk44_4(X637,X638,X639,X640)
| epred1_4(X640,X639,X638,X637)
| ~ epred2_4(X640,X639,X638,X637) )
& ( visFreeVar(esk54_4(X637,X638,X639,X640),esk52_4(X637,X638,X639,X640))
| X637 = esk47_4(X637,X638,X639,X640)
| X638 = esk44_4(X637,X638,X639,X640)
| epred1_4(X640,X639,X638,X637)
| ~ epred2_4(X640,X639,X638,X637) )
& ( esk55_4(X637,X638,X639,X640) = vgensym(vapp(vapp(esk52_4(X637,X638,X639,X640),esk56_4(X637,X638,X639,X640)),vvar(esk51_4(X637,X638,X639,X640))))
| X637 = esk47_4(X637,X638,X639,X640)
| X638 = esk44_4(X637,X638,X639,X640)
| epred1_4(X640,X639,X638,X637)
| ~ epred2_4(X640,X639,X638,X637) )
& ( X640 = vsubst(esk51_4(X637,X638,X639,X640),esk52_4(X637,X638,X639,X640),vabs(esk55_4(X637,X638,X639,X640),esk53_4(X637,X638,X639,X640),vsubst(esk54_4(X637,X638,X639,X640),vvar(esk55_4(X637,X638,X639,X640)),esk56_4(X637,X638,X639,X640))))
| X637 = esk47_4(X637,X638,X639,X640)
| X638 = esk44_4(X637,X638,X639,X640)
| epred1_4(X640,X639,X638,X637)
| ~ epred2_4(X640,X639,X638,X637) )
& ( X637 = esk51_4(X637,X638,X639,X640)
| X638 = esk46_4(X637,X638,X639,X640)
| X638 = esk44_4(X637,X638,X639,X640)
| epred1_4(X640,X639,X638,X637)
| ~ epred2_4(X640,X639,X638,X637) )
& ( X638 = esk52_4(X637,X638,X639,X640)
| X638 = esk46_4(X637,X638,X639,X640)
| X638 = esk44_4(X637,X638,X639,X640)
| epred1_4(X640,X639,X638,X637)
| ~ epred2_4(X640,X639,X638,X637) )
& ( X639 = vabs(esk54_4(X637,X638,X639,X640),esk53_4(X637,X638,X639,X640),esk56_4(X637,X638,X639,X640))
| X638 = esk46_4(X637,X638,X639,X640)
| X638 = esk44_4(X637,X638,X639,X640)
| epred1_4(X640,X639,X638,X637)
| ~ epred2_4(X640,X639,X638,X637) )
& ( esk51_4(X637,X638,X639,X640) != esk54_4(X637,X638,X639,X640)
| X638 = esk46_4(X637,X638,X639,X640)
| X638 = esk44_4(X637,X638,X639,X640)
| epred1_4(X640,X639,X638,X637)
| ~ epred2_4(X640,X639,X638,X637) )
& ( visFreeVar(esk54_4(X637,X638,X639,X640),esk52_4(X637,X638,X639,X640))
| X638 = esk46_4(X637,X638,X639,X640)
| X638 = esk44_4(X637,X638,X639,X640)
| epred1_4(X640,X639,X638,X637)
| ~ epred2_4(X640,X639,X638,X637) )
& ( esk55_4(X637,X638,X639,X640) = vgensym(vapp(vapp(esk52_4(X637,X638,X639,X640),esk56_4(X637,X638,X639,X640)),vvar(esk51_4(X637,X638,X639,X640))))
| X638 = esk46_4(X637,X638,X639,X640)
| X638 = esk44_4(X637,X638,X639,X640)
| epred1_4(X640,X639,X638,X637)
| ~ epred2_4(X640,X639,X638,X637) )
& ( X640 = vsubst(esk51_4(X637,X638,X639,X640),esk52_4(X637,X638,X639,X640),vabs(esk55_4(X637,X638,X639,X640),esk53_4(X637,X638,X639,X640),vsubst(esk54_4(X637,X638,X639,X640),vvar(esk55_4(X637,X638,X639,X640)),esk56_4(X637,X638,X639,X640))))
| X638 = esk46_4(X637,X638,X639,X640)
| X638 = esk44_4(X637,X638,X639,X640)
| epred1_4(X640,X639,X638,X637)
| ~ epred2_4(X640,X639,X638,X637) )
& ( X637 = esk51_4(X637,X638,X639,X640)
| X639 = vabs(esk48_4(X637,X638,X639,X640),esk49_4(X637,X638,X639,X640),esk50_4(X637,X638,X639,X640))
| X638 = esk44_4(X637,X638,X639,X640)
| epred1_4(X640,X639,X638,X637)
| ~ epred2_4(X640,X639,X638,X637) )
& ( X638 = esk52_4(X637,X638,X639,X640)
| X639 = vabs(esk48_4(X637,X638,X639,X640),esk49_4(X637,X638,X639,X640),esk50_4(X637,X638,X639,X640))
| X638 = esk44_4(X637,X638,X639,X640)
| epred1_4(X640,X639,X638,X637)
| ~ epred2_4(X640,X639,X638,X637) )
& ( X639 = vabs(esk54_4(X637,X638,X639,X640),esk53_4(X637,X638,X639,X640),esk56_4(X637,X638,X639,X640))
| X639 = vabs(esk48_4(X637,X638,X639,X640),esk49_4(X637,X638,X639,X640),esk50_4(X637,X638,X639,X640))
| X638 = esk44_4(X637,X638,X639,X640)
| epred1_4(X640,X639,X638,X637)
| ~ epred2_4(X640,X639,X638,X637) )
& ( esk51_4(X637,X638,X639,X640) != esk54_4(X637,X638,X639,X640)
| X639 = vabs(esk48_4(X637,X638,X639,X640),esk49_4(X637,X638,X639,X640),esk50_4(X637,X638,X639,X640))
| X638 = esk44_4(X637,X638,X639,X640)
| epred1_4(X640,X639,X638,X637)
| ~ epred2_4(X640,X639,X638,X637) )
& ( visFreeVar(esk54_4(X637,X638,X639,X640),esk52_4(X637,X638,X639,X640))
| X639 = vabs(esk48_4(X637,X638,X639,X640),esk49_4(X637,X638,X639,X640),esk50_4(X637,X638,X639,X640))
| X638 = esk44_4(X637,X638,X639,X640)
| epred1_4(X640,X639,X638,X637)
| ~ epred2_4(X640,X639,X638,X637) )
& ( esk55_4(X637,X638,X639,X640) = vgensym(vapp(vapp(esk52_4(X637,X638,X639,X640),esk56_4(X637,X638,X639,X640)),vvar(esk51_4(X637,X638,X639,X640))))
| X639 = vabs(esk48_4(X637,X638,X639,X640),esk49_4(X637,X638,X639,X640),esk50_4(X637,X638,X639,X640))
| X638 = esk44_4(X637,X638,X639,X640)
| epred1_4(X640,X639,X638,X637)
| ~ epred2_4(X640,X639,X638,X637) )
& ( X640 = vsubst(esk51_4(X637,X638,X639,X640),esk52_4(X637,X638,X639,X640),vabs(esk55_4(X637,X638,X639,X640),esk53_4(X637,X638,X639,X640),vsubst(esk54_4(X637,X638,X639,X640),vvar(esk55_4(X637,X638,X639,X640)),esk56_4(X637,X638,X639,X640))))
| X639 = vabs(esk48_4(X637,X638,X639,X640),esk49_4(X637,X638,X639,X640),esk50_4(X637,X638,X639,X640))
| X638 = esk44_4(X637,X638,X639,X640)
| epred1_4(X640,X639,X638,X637)
| ~ epred2_4(X640,X639,X638,X637) )
& ( X637 = esk51_4(X637,X638,X639,X640)
| esk47_4(X637,X638,X639,X640) = esk48_4(X637,X638,X639,X640)
| X638 = esk44_4(X637,X638,X639,X640)
| epred1_4(X640,X639,X638,X637)
| ~ epred2_4(X640,X639,X638,X637) )
& ( X638 = esk52_4(X637,X638,X639,X640)
| esk47_4(X637,X638,X639,X640) = esk48_4(X637,X638,X639,X640)
| X638 = esk44_4(X637,X638,X639,X640)
| epred1_4(X640,X639,X638,X637)
| ~ epred2_4(X640,X639,X638,X637) )
& ( X639 = vabs(esk54_4(X637,X638,X639,X640),esk53_4(X637,X638,X639,X640),esk56_4(X637,X638,X639,X640))
| esk47_4(X637,X638,X639,X640) = esk48_4(X637,X638,X639,X640)
| X638 = esk44_4(X637,X638,X639,X640)
| epred1_4(X640,X639,X638,X637)
| ~ epred2_4(X640,X639,X638,X637) )
& ( esk51_4(X637,X638,X639,X640) != esk54_4(X637,X638,X639,X640)
| esk47_4(X637,X638,X639,X640) = esk48_4(X637,X638,X639,X640)
| X638 = esk44_4(X637,X638,X639,X640)
| epred1_4(X640,X639,X638,X637)
| ~ epred2_4(X640,X639,X638,X637) )
& ( visFreeVar(esk54_4(X637,X638,X639,X640),esk52_4(X637,X638,X639,X640))
| esk47_4(X637,X638,X639,X640) = esk48_4(X637,X638,X639,X640)
| X638 = esk44_4(X637,X638,X639,X640)
| epred1_4(X640,X639,X638,X637)
| ~ epred2_4(X640,X639,X638,X637) )
& ( esk55_4(X637,X638,X639,X640) = vgensym(vapp(vapp(esk52_4(X637,X638,X639,X640),esk56_4(X637,X638,X639,X640)),vvar(esk51_4(X637,X638,X639,X640))))
| esk47_4(X637,X638,X639,X640) = esk48_4(X637,X638,X639,X640)
| X638 = esk44_4(X637,X638,X639,X640)
| epred1_4(X640,X639,X638,X637)
| ~ epred2_4(X640,X639,X638,X637) )
& ( X640 = vsubst(esk51_4(X637,X638,X639,X640),esk52_4(X637,X638,X639,X640),vabs(esk55_4(X637,X638,X639,X640),esk53_4(X637,X638,X639,X640),vsubst(esk54_4(X637,X638,X639,X640),vvar(esk55_4(X637,X638,X639,X640)),esk56_4(X637,X638,X639,X640))))
| esk47_4(X637,X638,X639,X640) = esk48_4(X637,X638,X639,X640)
| X638 = esk44_4(X637,X638,X639,X640)
| epred1_4(X640,X639,X638,X637)
| ~ epred2_4(X640,X639,X638,X637) )
& ( X637 = esk51_4(X637,X638,X639,X640)
| X640 = vabs(esk48_4(X637,X638,X639,X640),esk49_4(X637,X638,X639,X640),esk50_4(X637,X638,X639,X640))
| X638 = esk44_4(X637,X638,X639,X640)
| epred1_4(X640,X639,X638,X637)
| ~ epred2_4(X640,X639,X638,X637) )
& ( X638 = esk52_4(X637,X638,X639,X640)
| X640 = vabs(esk48_4(X637,X638,X639,X640),esk49_4(X637,X638,X639,X640),esk50_4(X637,X638,X639,X640))
| X638 = esk44_4(X637,X638,X639,X640)
| epred1_4(X640,X639,X638,X637)
| ~ epred2_4(X640,X639,X638,X637) )
& ( X639 = vabs(esk54_4(X637,X638,X639,X640),esk53_4(X637,X638,X639,X640),esk56_4(X637,X638,X639,X640))
| X640 = vabs(esk48_4(X637,X638,X639,X640),esk49_4(X637,X638,X639,X640),esk50_4(X637,X638,X639,X640))
| X638 = esk44_4(X637,X638,X639,X640)
| epred1_4(X640,X639,X638,X637)
| ~ epred2_4(X640,X639,X638,X637) )
& ( esk51_4(X637,X638,X639,X640) != esk54_4(X637,X638,X639,X640)
| X640 = vabs(esk48_4(X637,X638,X639,X640),esk49_4(X637,X638,X639,X640),esk50_4(X637,X638,X639,X640))
| X638 = esk44_4(X637,X638,X639,X640)
| epred1_4(X640,X639,X638,X637)
| ~ epred2_4(X640,X639,X638,X637) )
& ( visFreeVar(esk54_4(X637,X638,X639,X640),esk52_4(X637,X638,X639,X640))
| X640 = vabs(esk48_4(X637,X638,X639,X640),esk49_4(X637,X638,X639,X640),esk50_4(X637,X638,X639,X640))
| X638 = esk44_4(X637,X638,X639,X640)
| epred1_4(X640,X639,X638,X637)
| ~ epred2_4(X640,X639,X638,X637) )
& ( esk55_4(X637,X638,X639,X640) = vgensym(vapp(vapp(esk52_4(X637,X638,X639,X640),esk56_4(X637,X638,X639,X640)),vvar(esk51_4(X637,X638,X639,X640))))
| X640 = vabs(esk48_4(X637,X638,X639,X640),esk49_4(X637,X638,X639,X640),esk50_4(X637,X638,X639,X640))
| X638 = esk44_4(X637,X638,X639,X640)
| epred1_4(X640,X639,X638,X637)
| ~ epred2_4(X640,X639,X638,X637) )
& ( X640 = vsubst(esk51_4(X637,X638,X639,X640),esk52_4(X637,X638,X639,X640),vabs(esk55_4(X637,X638,X639,X640),esk53_4(X637,X638,X639,X640),vsubst(esk54_4(X637,X638,X639,X640),vvar(esk55_4(X637,X638,X639,X640)),esk56_4(X637,X638,X639,X640))))
| X640 = vabs(esk48_4(X637,X638,X639,X640),esk49_4(X637,X638,X639,X640),esk50_4(X637,X638,X639,X640))
| X638 = esk44_4(X637,X638,X639,X640)
| epred1_4(X640,X639,X638,X637)
| ~ epred2_4(X640,X639,X638,X637) )
& ( X637 = esk51_4(X637,X638,X639,X640)
| X637 = esk47_4(X637,X638,X639,X640)
| X639 = vapp(esk42_4(X637,X638,X639,X640),esk45_4(X637,X638,X639,X640))
| epred1_4(X640,X639,X638,X637)
| ~ epred2_4(X640,X639,X638,X637) )
& ( X638 = esk52_4(X637,X638,X639,X640)
| X637 = esk47_4(X637,X638,X639,X640)
| X639 = vapp(esk42_4(X637,X638,X639,X640),esk45_4(X637,X638,X639,X640))
| epred1_4(X640,X639,X638,X637)
| ~ epred2_4(X640,X639,X638,X637) )
& ( X639 = vabs(esk54_4(X637,X638,X639,X640),esk53_4(X637,X638,X639,X640),esk56_4(X637,X638,X639,X640))
| X637 = esk47_4(X637,X638,X639,X640)
| X639 = vapp(esk42_4(X637,X638,X639,X640),esk45_4(X637,X638,X639,X640))
| epred1_4(X640,X639,X638,X637)
| ~ epred2_4(X640,X639,X638,X637) )
& ( esk51_4(X637,X638,X639,X640) != esk54_4(X637,X638,X639,X640)
| X637 = esk47_4(X637,X638,X639,X640)
| X639 = vapp(esk42_4(X637,X638,X639,X640),esk45_4(X637,X638,X639,X640))
| epred1_4(X640,X639,X638,X637)
| ~ epred2_4(X640,X639,X638,X637) )
& ( visFreeVar(esk54_4(X637,X638,X639,X640),esk52_4(X637,X638,X639,X640))
| X637 = esk47_4(X637,X638,X639,X640)
| X639 = vapp(esk42_4(X637,X638,X639,X640),esk45_4(X637,X638,X639,X640))
| epred1_4(X640,X639,X638,X637)
| ~ epred2_4(X640,X639,X638,X637) )
& ( esk55_4(X637,X638,X639,X640) = vgensym(vapp(vapp(esk52_4(X637,X638,X639,X640),esk56_4(X637,X638,X639,X640)),vvar(esk51_4(X637,X638,X639,X640))))
| X637 = esk47_4(X637,X638,X639,X640)
| X639 = vapp(esk42_4(X637,X638,X639,X640),esk45_4(X637,X638,X639,X640))
| epred1_4(X640,X639,X638,X637)
| ~ epred2_4(X640,X639,X638,X637) )
& ( X640 = vsubst(esk51_4(X637,X638,X639,X640),esk52_4(X637,X638,X639,X640),vabs(esk55_4(X637,X638,X639,X640),esk53_4(X637,X638,X639,X640),vsubst(esk54_4(X637,X638,X639,X640),vvar(esk55_4(X637,X638,X639,X640)),esk56_4(X637,X638,X639,X640))))
| X637 = esk47_4(X637,X638,X639,X640)
| X639 = vapp(esk42_4(X637,X638,X639,X640),esk45_4(X637,X638,X639,X640))
| epred1_4(X640,X639,X638,X637)
| ~ epred2_4(X640,X639,X638,X637) )
& ( X637 = esk51_4(X637,X638,X639,X640)
| X638 = esk46_4(X637,X638,X639,X640)
| X639 = vapp(esk42_4(X637,X638,X639,X640),esk45_4(X637,X638,X639,X640))
| epred1_4(X640,X639,X638,X637)
| ~ epred2_4(X640,X639,X638,X637) )
& ( X638 = esk52_4(X637,X638,X639,X640)
| X638 = esk46_4(X637,X638,X639,X640)
| X639 = vapp(esk42_4(X637,X638,X639,X640),esk45_4(X637,X638,X639,X640))
| epred1_4(X640,X639,X638,X637)
| ~ epred2_4(X640,X639,X638,X637) )
& ( X639 = vabs(esk54_4(X637,X638,X639,X640),esk53_4(X637,X638,X639,X640),esk56_4(X637,X638,X639,X640))
| X638 = esk46_4(X637,X638,X639,X640)
| X639 = vapp(esk42_4(X637,X638,X639,X640),esk45_4(X637,X638,X639,X640))
| epred1_4(X640,X639,X638,X637)
| ~ epred2_4(X640,X639,X638,X637) )
& ( esk51_4(X637,X638,X639,X640) != esk54_4(X637,X638,X639,X640)
| X638 = esk46_4(X637,X638,X639,X640)
| X639 = vapp(esk42_4(X637,X638,X639,X640),esk45_4(X637,X638,X639,X640))
| epred1_4(X640,X639,X638,X637)
| ~ epred2_4(X640,X639,X638,X637) )
& ( visFreeVar(esk54_4(X637,X638,X639,X640),esk52_4(X637,X638,X639,X640))
| X638 = esk46_4(X637,X638,X639,X640)
| X639 = vapp(esk42_4(X637,X638,X639,X640),esk45_4(X637,X638,X639,X640))
| epred1_4(X640,X639,X638,X637)
| ~ epred2_4(X640,X639,X638,X637) )
& ( esk55_4(X637,X638,X639,X640) = vgensym(vapp(vapp(esk52_4(X637,X638,X639,X640),esk56_4(X637,X638,X639,X640)),vvar(esk51_4(X637,X638,X639,X640))))
| X638 = esk46_4(X637,X638,X639,X640)
| X639 = vapp(esk42_4(X637,X638,X639,X640),esk45_4(X637,X638,X639,X640))
| epred1_4(X640,X639,X638,X637)
| ~ epred2_4(X640,X639,X638,X637) )
& ( X640 = vsubst(esk51_4(X637,X638,X639,X640),esk52_4(X637,X638,X639,X640),vabs(esk55_4(X637,X638,X639,X640),esk53_4(X637,X638,X639,X640),vsubst(esk54_4(X637,X638,X639,X640),vvar(esk55_4(X637,X638,X639,X640)),esk56_4(X637,X638,X639,X640))))
| X638 = esk46_4(X637,X638,X639,X640)
| X639 = vapp(esk42_4(X637,X638,X639,X640),esk45_4(X637,X638,X639,X640))
| epred1_4(X640,X639,X638,X637)
| ~ epred2_4(X640,X639,X638,X637) )
& ( X637 = esk51_4(X637,X638,X639,X640)
| X639 = vabs(esk48_4(X637,X638,X639,X640),esk49_4(X637,X638,X639,X640),esk50_4(X637,X638,X639,X640))
| X639 = vapp(esk42_4(X637,X638,X639,X640),esk45_4(X637,X638,X639,X640))
| epred1_4(X640,X639,X638,X637)
| ~ epred2_4(X640,X639,X638,X637) )
& ( X638 = esk52_4(X637,X638,X639,X640)
| X639 = vabs(esk48_4(X637,X638,X639,X640),esk49_4(X637,X638,X639,X640),esk50_4(X637,X638,X639,X640))
| X639 = vapp(esk42_4(X637,X638,X639,X640),esk45_4(X637,X638,X639,X640))
| epred1_4(X640,X639,X638,X637)
| ~ epred2_4(X640,X639,X638,X637) )
& ( X639 = vabs(esk54_4(X637,X638,X639,X640),esk53_4(X637,X638,X639,X640),esk56_4(X637,X638,X639,X640))
| X639 = vabs(esk48_4(X637,X638,X639,X640),esk49_4(X637,X638,X639,X640),esk50_4(X637,X638,X639,X640))
| X639 = vapp(esk42_4(X637,X638,X639,X640),esk45_4(X637,X638,X639,X640))
| epred1_4(X640,X639,X638,X637)
| ~ epred2_4(X640,X639,X638,X637) )
& ( esk51_4(X637,X638,X639,X640) != esk54_4(X637,X638,X639,X640)
| X639 = vabs(esk48_4(X637,X638,X639,X640),esk49_4(X637,X638,X639,X640),esk50_4(X637,X638,X639,X640))
| X639 = vapp(esk42_4(X637,X638,X639,X640),esk45_4(X637,X638,X639,X640))
| epred1_4(X640,X639,X638,X637)
| ~ epred2_4(X640,X639,X638,X637) )
& ( visFreeVar(esk54_4(X637,X638,X639,X640),esk52_4(X637,X638,X639,X640))
| X639 = vabs(esk48_4(X637,X638,X639,X640),esk49_4(X637,X638,X639,X640),esk50_4(X637,X638,X639,X640))
| X639 = vapp(esk42_4(X637,X638,X639,X640),esk45_4(X637,X638,X639,X640))
| epred1_4(X640,X639,X638,X637)
| ~ epred2_4(X640,X639,X638,X637) )
& ( esk55_4(X637,X638,X639,X640) = vgensym(vapp(vapp(esk52_4(X637,X638,X639,X640),esk56_4(X637,X638,X639,X640)),vvar(esk51_4(X637,X638,X639,X640))))
| X639 = vabs(esk48_4(X637,X638,X639,X640),esk49_4(X637,X638,X639,X640),esk50_4(X637,X638,X639,X640))
| X639 = vapp(esk42_4(X637,X638,X639,X640),esk45_4(X637,X638,X639,X640))
| epred1_4(X640,X639,X638,X637)
| ~ epred2_4(X640,X639,X638,X637) )
& ( X640 = vsubst(esk51_4(X637,X638,X639,X640),esk52_4(X637,X638,X639,X640),vabs(esk55_4(X637,X638,X639,X640),esk53_4(X637,X638,X639,X640),vsubst(esk54_4(X637,X638,X639,X640),vvar(esk55_4(X637,X638,X639,X640)),esk56_4(X637,X638,X639,X640))))
| X639 = vabs(esk48_4(X637,X638,X639,X640),esk49_4(X637,X638,X639,X640),esk50_4(X637,X638,X639,X640))
| X639 = vapp(esk42_4(X637,X638,X639,X640),esk45_4(X637,X638,X639,X640))
| epred1_4(X640,X639,X638,X637)
| ~ epred2_4(X640,X639,X638,X637) )
& ( X637 = esk51_4(X637,X638,X639,X640)
| esk47_4(X637,X638,X639,X640) = esk48_4(X637,X638,X639,X640)
| X639 = vapp(esk42_4(X637,X638,X639,X640),esk45_4(X637,X638,X639,X640))
| epred1_4(X640,X639,X638,X637)
| ~ epred2_4(X640,X639,X638,X637) )
& ( X638 = esk52_4(X637,X638,X639,X640)
| esk47_4(X637,X638,X639,X640) = esk48_4(X637,X638,X639,X640)
| X639 = vapp(esk42_4(X637,X638,X639,X640),esk45_4(X637,X638,X639,X640))
| epred1_4(X640,X639,X638,X637)
| ~ epred2_4(X640,X639,X638,X637) )
& ( X639 = vabs(esk54_4(X637,X638,X639,X640),esk53_4(X637,X638,X639,X640),esk56_4(X637,X638,X639,X640))
| esk47_4(X637,X638,X639,X640) = esk48_4(X637,X638,X639,X640)
| X639 = vapp(esk42_4(X637,X638,X639,X640),esk45_4(X637,X638,X639,X640))
| epred1_4(X640,X639,X638,X637)
| ~ epred2_4(X640,X639,X638,X637) )
& ( esk51_4(X637,X638,X639,X640) != esk54_4(X637,X638,X639,X640)
| esk47_4(X637,X638,X639,X640) = esk48_4(X637,X638,X639,X640)
| X639 = vapp(esk42_4(X637,X638,X639,X640),esk45_4(X637,X638,X639,X640))
| epred1_4(X640,X639,X638,X637)
| ~ epred2_4(X640,X639,X638,X637) )
& ( visFreeVar(esk54_4(X637,X638,X639,X640),esk52_4(X637,X638,X639,X640))
| esk47_4(X637,X638,X639,X640) = esk48_4(X637,X638,X639,X640)
| X639 = vapp(esk42_4(X637,X638,X639,X640),esk45_4(X637,X638,X639,X640))
| epred1_4(X640,X639,X638,X637)
| ~ epred2_4(X640,X639,X638,X637) )
& ( esk55_4(X637,X638,X639,X640) = vgensym(vapp(vapp(esk52_4(X637,X638,X639,X640),esk56_4(X637,X638,X639,X640)),vvar(esk51_4(X637,X638,X639,X640))))
| esk47_4(X637,X638,X639,X640) = esk48_4(X637,X638,X639,X640)
| X639 = vapp(esk42_4(X637,X638,X639,X640),esk45_4(X637,X638,X639,X640))
| epred1_4(X640,X639,X638,X637)
| ~ epred2_4(X640,X639,X638,X637) )
& ( X640 = vsubst(esk51_4(X637,X638,X639,X640),esk52_4(X637,X638,X639,X640),vabs(esk55_4(X637,X638,X639,X640),esk53_4(X637,X638,X639,X640),vsubst(esk54_4(X637,X638,X639,X640),vvar(esk55_4(X637,X638,X639,X640)),esk56_4(X637,X638,X639,X640))))
| esk47_4(X637,X638,X639,X640) = esk48_4(X637,X638,X639,X640)
| X639 = vapp(esk42_4(X637,X638,X639,X640),esk45_4(X637,X638,X639,X640))
| epred1_4(X640,X639,X638,X637)
| ~ epred2_4(X640,X639,X638,X637) )
& ( X637 = esk51_4(X637,X638,X639,X640)
| X640 = vabs(esk48_4(X637,X638,X639,X640),esk49_4(X637,X638,X639,X640),esk50_4(X637,X638,X639,X640))
| X639 = vapp(esk42_4(X637,X638,X639,X640),esk45_4(X637,X638,X639,X640))
| epred1_4(X640,X639,X638,X637)
| ~ epred2_4(X640,X639,X638,X637) )
& ( X638 = esk52_4(X637,X638,X639,X640)
| X640 = vabs(esk48_4(X637,X638,X639,X640),esk49_4(X637,X638,X639,X640),esk50_4(X637,X638,X639,X640))
| X639 = vapp(esk42_4(X637,X638,X639,X640),esk45_4(X637,X638,X639,X640))
| epred1_4(X640,X639,X638,X637)
| ~ epred2_4(X640,X639,X638,X637) )
& ( X639 = vabs(esk54_4(X637,X638,X639,X640),esk53_4(X637,X638,X639,X640),esk56_4(X637,X638,X639,X640))
| X640 = vabs(esk48_4(X637,X638,X639,X640),esk49_4(X637,X638,X639,X640),esk50_4(X637,X638,X639,X640))
| X639 = vapp(esk42_4(X637,X638,X639,X640),esk45_4(X637,X638,X639,X640))
| epred1_4(X640,X639,X638,X637)
| ~ epred2_4(X640,X639,X638,X637) )
& ( esk51_4(X637,X638,X639,X640) != esk54_4(X637,X638,X639,X640)
| X640 = vabs(esk48_4(X637,X638,X639,X640),esk49_4(X637,X638,X639,X640),esk50_4(X637,X638,X639,X640))
| X639 = vapp(esk42_4(X637,X638,X639,X640),esk45_4(X637,X638,X639,X640))
| epred1_4(X640,X639,X638,X637)
| ~ epred2_4(X640,X639,X638,X637) )
& ( visFreeVar(esk54_4(X637,X638,X639,X640),esk52_4(X637,X638,X639,X640))
| X640 = vabs(esk48_4(X637,X638,X639,X640),esk49_4(X637,X638,X639,X640),esk50_4(X637,X638,X639,X640))
| X639 = vapp(esk42_4(X637,X638,X639,X640),esk45_4(X637,X638,X639,X640))
| epred1_4(X640,X639,X638,X637)
| ~ epred2_4(X640,X639,X638,X637) )
& ( esk55_4(X637,X638,X639,X640) = vgensym(vapp(vapp(esk52_4(X637,X638,X639,X640),esk56_4(X637,X638,X639,X640)),vvar(esk51_4(X637,X638,X639,X640))))
| X640 = vabs(esk48_4(X637,X638,X639,X640),esk49_4(X637,X638,X639,X640),esk50_4(X637,X638,X639,X640))
| X639 = vapp(esk42_4(X637,X638,X639,X640),esk45_4(X637,X638,X639,X640))
| epred1_4(X640,X639,X638,X637)
| ~ epred2_4(X640,X639,X638,X637) )
& ( X640 = vsubst(esk51_4(X637,X638,X639,X640),esk52_4(X637,X638,X639,X640),vabs(esk55_4(X637,X638,X639,X640),esk53_4(X637,X638,X639,X640),vsubst(esk54_4(X637,X638,X639,X640),vvar(esk55_4(X637,X638,X639,X640)),esk56_4(X637,X638,X639,X640))))
| X640 = vabs(esk48_4(X637,X638,X639,X640),esk49_4(X637,X638,X639,X640),esk50_4(X637,X638,X639,X640))
| X639 = vapp(esk42_4(X637,X638,X639,X640),esk45_4(X637,X638,X639,X640))
| epred1_4(X640,X639,X638,X637)
| ~ epred2_4(X640,X639,X638,X637) )
& ( X637 = esk51_4(X637,X638,X639,X640)
| X637 = esk47_4(X637,X638,X639,X640)
| X640 = vapp(vsubst(esk43_4(X637,X638,X639,X640),esk44_4(X637,X638,X639,X640),esk42_4(X637,X638,X639,X640)),vsubst(esk43_4(X637,X638,X639,X640),esk44_4(X637,X638,X639,X640),esk45_4(X637,X638,X639,X640)))
| epred1_4(X640,X639,X638,X637)
| ~ epred2_4(X640,X639,X638,X637) )
& ( X638 = esk52_4(X637,X638,X639,X640)
| X637 = esk47_4(X637,X638,X639,X640)
| X640 = vapp(vsubst(esk43_4(X637,X638,X639,X640),esk44_4(X637,X638,X639,X640),esk42_4(X637,X638,X639,X640)),vsubst(esk43_4(X637,X638,X639,X640),esk44_4(X637,X638,X639,X640),esk45_4(X637,X638,X639,X640)))
| epred1_4(X640,X639,X638,X637)
| ~ epred2_4(X640,X639,X638,X637) )
& ( X639 = vabs(esk54_4(X637,X638,X639,X640),esk53_4(X637,X638,X639,X640),esk56_4(X637,X638,X639,X640))
| X637 = esk47_4(X637,X638,X639,X640)
| X640 = vapp(vsubst(esk43_4(X637,X638,X639,X640),esk44_4(X637,X638,X639,X640),esk42_4(X637,X638,X639,X640)),vsubst(esk43_4(X637,X638,X639,X640),esk44_4(X637,X638,X639,X640),esk45_4(X637,X638,X639,X640)))
| epred1_4(X640,X639,X638,X637)
| ~ epred2_4(X640,X639,X638,X637) )
& ( esk51_4(X637,X638,X639,X640) != esk54_4(X637,X638,X639,X640)
| X637 = esk47_4(X637,X638,X639,X640)
| X640 = vapp(vsubst(esk43_4(X637,X638,X639,X640),esk44_4(X637,X638,X639,X640),esk42_4(X637,X638,X639,X640)),vsubst(esk43_4(X637,X638,X639,X640),esk44_4(X637,X638,X639,X640),esk45_4(X637,X638,X639,X640)))
| epred1_4(X640,X639,X638,X637)
| ~ epred2_4(X640,X639,X638,X637) )
& ( visFreeVar(esk54_4(X637,X638,X639,X640),esk52_4(X637,X638,X639,X640))
| X637 = esk47_4(X637,X638,X639,X640)
| X640 = vapp(vsubst(esk43_4(X637,X638,X639,X640),esk44_4(X637,X638,X639,X640),esk42_4(X637,X638,X639,X640)),vsubst(esk43_4(X637,X638,X639,X640),esk44_4(X637,X638,X639,X640),esk45_4(X637,X638,X639,X640)))
| epred1_4(X640,X639,X638,X637)
| ~ epred2_4(X640,X639,X638,X637) )
& ( esk55_4(X637,X638,X639,X640) = vgensym(vapp(vapp(esk52_4(X637,X638,X639,X640),esk56_4(X637,X638,X639,X640)),vvar(esk51_4(X637,X638,X639,X640))))
| X637 = esk47_4(X637,X638,X639,X640)
| X640 = vapp(vsubst(esk43_4(X637,X638,X639,X640),esk44_4(X637,X638,X639,X640),esk42_4(X637,X638,X639,X640)),vsubst(esk43_4(X637,X638,X639,X640),esk44_4(X637,X638,X639,X640),esk45_4(X637,X638,X639,X640)))
| epred1_4(X640,X639,X638,X637)
| ~ epred2_4(X640,X639,X638,X637) )
& ( X640 = vsubst(esk51_4(X637,X638,X639,X640),esk52_4(X637,X638,X639,X640),vabs(esk55_4(X637,X638,X639,X640),esk53_4(X637,X638,X639,X640),vsubst(esk54_4(X637,X638,X639,X640),vvar(esk55_4(X637,X638,X639,X640)),esk56_4(X637,X638,X639,X640))))
| X637 = esk47_4(X637,X638,X639,X640)
| X640 = vapp(vsubst(esk43_4(X637,X638,X639,X640),esk44_4(X637,X638,X639,X640),esk42_4(X637,X638,X639,X640)),vsubst(esk43_4(X637,X638,X639,X640),esk44_4(X637,X638,X639,X640),esk45_4(X637,X638,X639,X640)))
| epred1_4(X640,X639,X638,X637)
| ~ epred2_4(X640,X639,X638,X637) )
& ( X637 = esk51_4(X637,X638,X639,X640)
| X638 = esk46_4(X637,X638,X639,X640)
| X640 = vapp(vsubst(esk43_4(X637,X638,X639,X640),esk44_4(X637,X638,X639,X640),esk42_4(X637,X638,X639,X640)),vsubst(esk43_4(X637,X638,X639,X640),esk44_4(X637,X638,X639,X640),esk45_4(X637,X638,X639,X640)))
| epred1_4(X640,X639,X638,X637)
| ~ epred2_4(X640,X639,X638,X637) )
& ( X638 = esk52_4(X637,X638,X639,X640)
| X638 = esk46_4(X637,X638,X639,X640)
| X640 = vapp(vsubst(esk43_4(X637,X638,X639,X640),esk44_4(X637,X638,X639,X640),esk42_4(X637,X638,X639,X640)),vsubst(esk43_4(X637,X638,X639,X640),esk44_4(X637,X638,X639,X640),esk45_4(X637,X638,X639,X640)))
| epred1_4(X640,X639,X638,X637)
| ~ epred2_4(X640,X639,X638,X637) )
& ( X639 = vabs(esk54_4(X637,X638,X639,X640),esk53_4(X637,X638,X639,X640),esk56_4(X637,X638,X639,X640))
| X638 = esk46_4(X637,X638,X639,X640)
| X640 = vapp(vsubst(esk43_4(X637,X638,X639,X640),esk44_4(X637,X638,X639,X640),esk42_4(X637,X638,X639,X640)),vsubst(esk43_4(X637,X638,X639,X640),esk44_4(X637,X638,X639,X640),esk45_4(X637,X638,X639,X640)))
| epred1_4(X640,X639,X638,X637)
| ~ epred2_4(X640,X639,X638,X637) )
& ( esk51_4(X637,X638,X639,X640) != esk54_4(X637,X638,X639,X640)
| X638 = esk46_4(X637,X638,X639,X640)
| X640 = vapp(vsubst(esk43_4(X637,X638,X639,X640),esk44_4(X637,X638,X639,X640),esk42_4(X637,X638,X639,X640)),vsubst(esk43_4(X637,X638,X639,X640),esk44_4(X637,X638,X639,X640),esk45_4(X637,X638,X639,X640)))
| epred1_4(X640,X639,X638,X637)
| ~ epred2_4(X640,X639,X638,X637) )
& ( visFreeVar(esk54_4(X637,X638,X639,X640),esk52_4(X637,X638,X639,X640))
| X638 = esk46_4(X637,X638,X639,X640)
| X640 = vapp(vsubst(esk43_4(X637,X638,X639,X640),esk44_4(X637,X638,X639,X640),esk42_4(X637,X638,X639,X640)),vsubst(esk43_4(X637,X638,X639,X640),esk44_4(X637,X638,X639,X640),esk45_4(X637,X638,X639,X640)))
| epred1_4(X640,X639,X638,X637)
| ~ epred2_4(X640,X639,X638,X637) )
& ( esk55_4(X637,X638,X639,X640) = vgensym(vapp(vapp(esk52_4(X637,X638,X639,X640),esk56_4(X637,X638,X639,X640)),vvar(esk51_4(X637,X638,X639,X640))))
| X638 = esk46_4(X637,X638,X639,X640)
| X640 = vapp(vsubst(esk43_4(X637,X638,X639,X640),esk44_4(X637,X638,X639,X640),esk42_4(X637,X638,X639,X640)),vsubst(esk43_4(X637,X638,X639,X640),esk44_4(X637,X638,X639,X640),esk45_4(X637,X638,X639,X640)))
| epred1_4(X640,X639,X638,X637)
| ~ epred2_4(X640,X639,X638,X637) )
& ( X640 = vsubst(esk51_4(X637,X638,X639,X640),esk52_4(X637,X638,X639,X640),vabs(esk55_4(X637,X638,X639,X640),esk53_4(X637,X638,X639,X640),vsubst(esk54_4(X637,X638,X639,X640),vvar(esk55_4(X637,X638,X639,X640)),esk56_4(X637,X638,X639,X640))))
| X638 = esk46_4(X637,X638,X639,X640)
| X640 = vapp(vsubst(esk43_4(X637,X638,X639,X640),esk44_4(X637,X638,X639,X640),esk42_4(X637,X638,X639,X640)),vsubst(esk43_4(X637,X638,X639,X640),esk44_4(X637,X638,X639,X640),esk45_4(X637,X638,X639,X640)))
| epred1_4(X640,X639,X638,X637)
| ~ epred2_4(X640,X639,X638,X637) )
& ( X637 = esk51_4(X637,X638,X639,X640)
| X639 = vabs(esk48_4(X637,X638,X639,X640),esk49_4(X637,X638,X639,X640),esk50_4(X637,X638,X639,X640))
| X640 = vapp(vsubst(esk43_4(X637,X638,X639,X640),esk44_4(X637,X638,X639,X640),esk42_4(X637,X638,X639,X640)),vsubst(esk43_4(X637,X638,X639,X640),esk44_4(X637,X638,X639,X640),esk45_4(X637,X638,X639,X640)))
| epred1_4(X640,X639,X638,X637)
| ~ epred2_4(X640,X639,X638,X637) )
& ( X638 = esk52_4(X637,X638,X639,X640)
| X639 = vabs(esk48_4(X637,X638,X639,X640),esk49_4(X637,X638,X639,X640),esk50_4(X637,X638,X639,X640))
| X640 = vapp(vsubst(esk43_4(X637,X638,X639,X640),esk44_4(X637,X638,X639,X640),esk42_4(X637,X638,X639,X640)),vsubst(esk43_4(X637,X638,X639,X640),esk44_4(X637,X638,X639,X640),esk45_4(X637,X638,X639,X640)))
| epred1_4(X640,X639,X638,X637)
| ~ epred2_4(X640,X639,X638,X637) )
& ( X639 = vabs(esk54_4(X637,X638,X639,X640),esk53_4(X637,X638,X639,X640),esk56_4(X637,X638,X639,X640))
| X639 = vabs(esk48_4(X637,X638,X639,X640),esk49_4(X637,X638,X639,X640),esk50_4(X637,X638,X639,X640))
| X640 = vapp(vsubst(esk43_4(X637,X638,X639,X640),esk44_4(X637,X638,X639,X640),esk42_4(X637,X638,X639,X640)),vsubst(esk43_4(X637,X638,X639,X640),esk44_4(X637,X638,X639,X640),esk45_4(X637,X638,X639,X640)))
| epred1_4(X640,X639,X638,X637)
| ~ epred2_4(X640,X639,X638,X637) )
& ( esk51_4(X637,X638,X639,X640) != esk54_4(X637,X638,X639,X640)
| X639 = vabs(esk48_4(X637,X638,X639,X640),esk49_4(X637,X638,X639,X640),esk50_4(X637,X638,X639,X640))
| X640 = vapp(vsubst(esk43_4(X637,X638,X639,X640),esk44_4(X637,X638,X639,X640),esk42_4(X637,X638,X639,X640)),vsubst(esk43_4(X637,X638,X639,X640),esk44_4(X637,X638,X639,X640),esk45_4(X637,X638,X639,X640)))
| epred1_4(X640,X639,X638,X637)
| ~ epred2_4(X640,X639,X638,X637) )
& ( visFreeVar(esk54_4(X637,X638,X639,X640),esk52_4(X637,X638,X639,X640))
| X639 = vabs(esk48_4(X637,X638,X639,X640),esk49_4(X637,X638,X639,X640),esk50_4(X637,X638,X639,X640))
| X640 = vapp(vsubst(esk43_4(X637,X638,X639,X640),esk44_4(X637,X638,X639,X640),esk42_4(X637,X638,X639,X640)),vsubst(esk43_4(X637,X638,X639,X640),esk44_4(X637,X638,X639,X640),esk45_4(X637,X638,X639,X640)))
| epred1_4(X640,X639,X638,X637)
| ~ epred2_4(X640,X639,X638,X637) )
& ( esk55_4(X637,X638,X639,X640) = vgensym(vapp(vapp(esk52_4(X637,X638,X639,X640),esk56_4(X637,X638,X639,X640)),vvar(esk51_4(X637,X638,X639,X640))))
| X639 = vabs(esk48_4(X637,X638,X639,X640),esk49_4(X637,X638,X639,X640),esk50_4(X637,X638,X639,X640))
| X640 = vapp(vsubst(esk43_4(X637,X638,X639,X640),esk44_4(X637,X638,X639,X640),esk42_4(X637,X638,X639,X640)),vsubst(esk43_4(X637,X638,X639,X640),esk44_4(X637,X638,X639,X640),esk45_4(X637,X638,X639,X640)))
| epred1_4(X640,X639,X638,X637)
| ~ epred2_4(X640,X639,X638,X637) )
& ( X640 = vsubst(esk51_4(X637,X638,X639,X640),esk52_4(X637,X638,X639,X640),vabs(esk55_4(X637,X638,X639,X640),esk53_4(X637,X638,X639,X640),vsubst(esk54_4(X637,X638,X639,X640),vvar(esk55_4(X637,X638,X639,X640)),esk56_4(X637,X638,X639,X640))))
| X639 = vabs(esk48_4(X637,X638,X639,X640),esk49_4(X637,X638,X639,X640),esk50_4(X637,X638,X639,X640))
| X640 = vapp(vsubst(esk43_4(X637,X638,X639,X640),esk44_4(X637,X638,X639,X640),esk42_4(X637,X638,X639,X640)),vsubst(esk43_4(X637,X638,X639,X640),esk44_4(X637,X638,X639,X640),esk45_4(X637,X638,X639,X640)))
| epred1_4(X640,X639,X638,X637)
| ~ epred2_4(X640,X639,X638,X637) )
& ( X637 = esk51_4(X637,X638,X639,X640)
| esk47_4(X637,X638,X639,X640) = esk48_4(X637,X638,X639,X640)
| X640 = vapp(vsubst(esk43_4(X637,X638,X639,X640),esk44_4(X637,X638,X639,X640),esk42_4(X637,X638,X639,X640)),vsubst(esk43_4(X637,X638,X639,X640),esk44_4(X637,X638,X639,X640),esk45_4(X637,X638,X639,X640)))
| epred1_4(X640,X639,X638,X637)
| ~ epred2_4(X640,X639,X638,X637) )
& ( X638 = esk52_4(X637,X638,X639,X640)
| esk47_4(X637,X638,X639,X640) = esk48_4(X637,X638,X639,X640)
| X640 = vapp(vsubst(esk43_4(X637,X638,X639,X640),esk44_4(X637,X638,X639,X640),esk42_4(X637,X638,X639,X640)),vsubst(esk43_4(X637,X638,X639,X640),esk44_4(X637,X638,X639,X640),esk45_4(X637,X638,X639,X640)))
| epred1_4(X640,X639,X638,X637)
| ~ epred2_4(X640,X639,X638,X637) )
& ( X639 = vabs(esk54_4(X637,X638,X639,X640),esk53_4(X637,X638,X639,X640),esk56_4(X637,X638,X639,X640))
| esk47_4(X637,X638,X639,X640) = esk48_4(X637,X638,X639,X640)
| X640 = vapp(vsubst(esk43_4(X637,X638,X639,X640),esk44_4(X637,X638,X639,X640),esk42_4(X637,X638,X639,X640)),vsubst(esk43_4(X637,X638,X639,X640),esk44_4(X637,X638,X639,X640),esk45_4(X637,X638,X639,X640)))
| epred1_4(X640,X639,X638,X637)
| ~ epred2_4(X640,X639,X638,X637) )
& ( esk51_4(X637,X638,X639,X640) != esk54_4(X637,X638,X639,X640)
| esk47_4(X637,X638,X639,X640) = esk48_4(X637,X638,X639,X640)
| X640 = vapp(vsubst(esk43_4(X637,X638,X639,X640),esk44_4(X637,X638,X639,X640),esk42_4(X637,X638,X639,X640)),vsubst(esk43_4(X637,X638,X639,X640),esk44_4(X637,X638,X639,X640),esk45_4(X637,X638,X639,X640)))
| epred1_4(X640,X639,X638,X637)
| ~ epred2_4(X640,X639,X638,X637) )
& ( visFreeVar(esk54_4(X637,X638,X639,X640),esk52_4(X637,X638,X639,X640))
| esk47_4(X637,X638,X639,X640) = esk48_4(X637,X638,X639,X640)
| X640 = vapp(vsubst(esk43_4(X637,X638,X639,X640),esk44_4(X637,X638,X639,X640),esk42_4(X637,X638,X639,X640)),vsubst(esk43_4(X637,X638,X639,X640),esk44_4(X637,X638,X639,X640),esk45_4(X637,X638,X639,X640)))
| epred1_4(X640,X639,X638,X637)
| ~ epred2_4(X640,X639,X638,X637) )
& ( esk55_4(X637,X638,X639,X640) = vgensym(vapp(vapp(esk52_4(X637,X638,X639,X640),esk56_4(X637,X638,X639,X640)),vvar(esk51_4(X637,X638,X639,X640))))
| esk47_4(X637,X638,X639,X640) = esk48_4(X637,X638,X639,X640)
| X640 = vapp(vsubst(esk43_4(X637,X638,X639,X640),esk44_4(X637,X638,X639,X640),esk42_4(X637,X638,X639,X640)),vsubst(esk43_4(X637,X638,X639,X640),esk44_4(X637,X638,X639,X640),esk45_4(X637,X638,X639,X640)))
| epred1_4(X640,X639,X638,X637)
| ~ epred2_4(X640,X639,X638,X637) )
& ( X640 = vsubst(esk51_4(X637,X638,X639,X640),esk52_4(X637,X638,X639,X640),vabs(esk55_4(X637,X638,X639,X640),esk53_4(X637,X638,X639,X640),vsubst(esk54_4(X637,X638,X639,X640),vvar(esk55_4(X637,X638,X639,X640)),esk56_4(X637,X638,X639,X640))))
| esk47_4(X637,X638,X639,X640) = esk48_4(X637,X638,X639,X640)
| X640 = vapp(vsubst(esk43_4(X637,X638,X639,X640),esk44_4(X637,X638,X639,X640),esk42_4(X637,X638,X639,X640)),vsubst(esk43_4(X637,X638,X639,X640),esk44_4(X637,X638,X639,X640),esk45_4(X637,X638,X639,X640)))
| epred1_4(X640,X639,X638,X637)
| ~ epred2_4(X640,X639,X638,X637) )
& ( X637 = esk51_4(X637,X638,X639,X640)
| X640 = vabs(esk48_4(X637,X638,X639,X640),esk49_4(X637,X638,X639,X640),esk50_4(X637,X638,X639,X640))
| X640 = vapp(vsubst(esk43_4(X637,X638,X639,X640),esk44_4(X637,X638,X639,X640),esk42_4(X637,X638,X639,X640)),vsubst(esk43_4(X637,X638,X639,X640),esk44_4(X637,X638,X639,X640),esk45_4(X637,X638,X639,X640)))
| epred1_4(X640,X639,X638,X637)
| ~ epred2_4(X640,X639,X638,X637) )
& ( X638 = esk52_4(X637,X638,X639,X640)
| X640 = vabs(esk48_4(X637,X638,X639,X640),esk49_4(X637,X638,X639,X640),esk50_4(X637,X638,X639,X640))
| X640 = vapp(vsubst(esk43_4(X637,X638,X639,X640),esk44_4(X637,X638,X639,X640),esk42_4(X637,X638,X639,X640)),vsubst(esk43_4(X637,X638,X639,X640),esk44_4(X637,X638,X639,X640),esk45_4(X637,X638,X639,X640)))
| epred1_4(X640,X639,X638,X637)
| ~ epred2_4(X640,X639,X638,X637) )
& ( X639 = vabs(esk54_4(X637,X638,X639,X640),esk53_4(X637,X638,X639,X640),esk56_4(X637,X638,X639,X640))
| X640 = vabs(esk48_4(X637,X638,X639,X640),esk49_4(X637,X638,X639,X640),esk50_4(X637,X638,X639,X640))
| X640 = vapp(vsubst(esk43_4(X637,X638,X639,X640),esk44_4(X637,X638,X639,X640),esk42_4(X637,X638,X639,X640)),vsubst(esk43_4(X637,X638,X639,X640),esk44_4(X637,X638,X639,X640),esk45_4(X637,X638,X639,X640)))
| epred1_4(X640,X639,X638,X637)
| ~ epred2_4(X640,X639,X638,X637) )
& ( esk51_4(X637,X638,X639,X640) != esk54_4(X637,X638,X639,X640)
| X640 = vabs(esk48_4(X637,X638,X639,X640),esk49_4(X637,X638,X639,X640),esk50_4(X637,X638,X639,X640))
| X640 = vapp(vsubst(esk43_4(X637,X638,X639,X640),esk44_4(X637,X638,X639,X640),esk42_4(X637,X638,X639,X640)),vsubst(esk43_4(X637,X638,X639,X640),esk44_4(X637,X638,X639,X640),esk45_4(X637,X638,X639,X640)))
| epred1_4(X640,X639,X638,X637)
| ~ epred2_4(X640,X639,X638,X637) )
& ( visFreeVar(esk54_4(X637,X638,X639,X640),esk52_4(X637,X638,X639,X640))
| X640 = vabs(esk48_4(X637,X638,X639,X640),esk49_4(X637,X638,X639,X640),esk50_4(X637,X638,X639,X640))
| X640 = vapp(vsubst(esk43_4(X637,X638,X639,X640),esk44_4(X637,X638,X639,X640),esk42_4(X637,X638,X639,X640)),vsubst(esk43_4(X637,X638,X639,X640),esk44_4(X637,X638,X639,X640),esk45_4(X637,X638,X639,X640)))
| epred1_4(X640,X639,X638,X637)
| ~ epred2_4(X640,X639,X638,X637) )
& ( esk55_4(X637,X638,X639,X640) = vgensym(vapp(vapp(esk52_4(X637,X638,X639,X640),esk56_4(X637,X638,X639,X640)),vvar(esk51_4(X637,X638,X639,X640))))
| X640 = vabs(esk48_4(X637,X638,X639,X640),esk49_4(X637,X638,X639,X640),esk50_4(X637,X638,X639,X640))
| X640 = vapp(vsubst(esk43_4(X637,X638,X639,X640),esk44_4(X637,X638,X639,X640),esk42_4(X637,X638,X639,X640)),vsubst(esk43_4(X637,X638,X639,X640),esk44_4(X637,X638,X639,X640),esk45_4(X637,X638,X639,X640)))
| epred1_4(X640,X639,X638,X637)
| ~ epred2_4(X640,X639,X638,X637) )
& ( X640 = vsubst(esk51_4(X637,X638,X639,X640),esk52_4(X637,X638,X639,X640),vabs(esk55_4(X637,X638,X639,X640),esk53_4(X637,X638,X639,X640),vsubst(esk54_4(X637,X638,X639,X640),vvar(esk55_4(X637,X638,X639,X640)),esk56_4(X637,X638,X639,X640))))
| X640 = vabs(esk48_4(X637,X638,X639,X640),esk49_4(X637,X638,X639,X640),esk50_4(X637,X638,X639,X640))
| X640 = vapp(vsubst(esk43_4(X637,X638,X639,X640),esk44_4(X637,X638,X639,X640),esk42_4(X637,X638,X639,X640)),vsubst(esk43_4(X637,X638,X639,X640),esk44_4(X637,X638,X639,X640),esk45_4(X637,X638,X639,X640)))
| epred1_4(X640,X639,X638,X637)
| ~ epred2_4(X640,X639,X638,X637) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_59])])])]) ).
fof(i_0_76,plain,
! [X563,X564,X565,X566,X567] :
( X564 != vapp(X563,X567)
| X563 = vabs(esk15_5(X563,X564,X565,X566,X567),esk16_5(X563,X564,X565,X566,X567),esk17_5(X563,X564,X565,X566,X567))
| X566 != vreduce(X563)
| ~ visSomeExp(X566)
| X565 != vreduce(X564)
| X565 = vsomeExp(vapp(vgetSomeExp(X566),X567)) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[reduce5])])]) ).
fof(i_0_77,plain,
! [X516,X517,X518,X519] :
( ( X516 = esk12_4(X516,X517,X518,X519)
| epred2_4(X519,X518,X517,X516)
| vsubst(X516,X517,X518) != X519 )
& ( X517 = esk13_4(X516,X517,X518,X519)
| epred2_4(X519,X518,X517,X516)
| vsubst(X516,X517,X518) != X519 )
& ( X518 = vabs(esk10_4(X516,X517,X518,X519),esk11_4(X516,X517,X518,X519),esk14_4(X516,X517,X518,X519))
| epred2_4(X519,X518,X517,X516)
| vsubst(X516,X517,X518) != X519 )
& ( esk12_4(X516,X517,X518,X519) != esk10_4(X516,X517,X518,X519)
| epred2_4(X519,X518,X517,X516)
| vsubst(X516,X517,X518) != X519 )
& ( ~ visFreeVar(esk10_4(X516,X517,X518,X519),esk13_4(X516,X517,X518,X519))
| epred2_4(X519,X518,X517,X516)
| vsubst(X516,X517,X518) != X519 )
& ( X519 = vabs(esk10_4(X516,X517,X518,X519),esk11_4(X516,X517,X518,X519),vsubst(esk12_4(X516,X517,X518,X519),esk13_4(X516,X517,X518,X519),esk14_4(X516,X517,X518,X519)))
| epred2_4(X519,X518,X517,X516)
| vsubst(X516,X517,X518) != X519 ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_60])])])]) ).
fof(i_0_78,plain,
! [X627,X628,X629,X630] :
( ( X627 = esk40_4(X627,X628,X629,X630)
| X627 = esk36_4(X627,X628,X629,X630)
| ~ epred1_4(X630,X629,X628,X627) )
& ( X628 = esk39_4(X627,X628,X629,X630)
| X627 = esk36_4(X627,X628,X629,X630)
| ~ epred1_4(X630,X629,X628,X627) )
& ( X629 = vvar(esk41_4(X627,X628,X629,X630))
| X627 = esk36_4(X627,X628,X629,X630)
| ~ epred1_4(X630,X629,X628,X627) )
& ( esk40_4(X627,X628,X629,X630) != esk41_4(X627,X628,X629,X630)
| X627 = esk36_4(X627,X628,X629,X630)
| ~ epred1_4(X630,X629,X628,X627) )
& ( X630 = vvar(esk41_4(X627,X628,X629,X630))
| X627 = esk36_4(X627,X628,X629,X630)
| ~ epred1_4(X630,X629,X628,X627) )
& ( X627 = esk40_4(X627,X628,X629,X630)
| X628 = esk38_4(X627,X628,X629,X630)
| ~ epred1_4(X630,X629,X628,X627) )
& ( X628 = esk39_4(X627,X628,X629,X630)
| X628 = esk38_4(X627,X628,X629,X630)
| ~ epred1_4(X630,X629,X628,X627) )
& ( X629 = vvar(esk41_4(X627,X628,X629,X630))
| X628 = esk38_4(X627,X628,X629,X630)
| ~ epred1_4(X630,X629,X628,X627) )
& ( esk40_4(X627,X628,X629,X630) != esk41_4(X627,X628,X629,X630)
| X628 = esk38_4(X627,X628,X629,X630)
| ~ epred1_4(X630,X629,X628,X627) )
& ( X630 = vvar(esk41_4(X627,X628,X629,X630))
| X628 = esk38_4(X627,X628,X629,X630)
| ~ epred1_4(X630,X629,X628,X627) )
& ( X627 = esk40_4(X627,X628,X629,X630)
| X629 = vvar(esk37_4(X627,X628,X629,X630))
| ~ epred1_4(X630,X629,X628,X627) )
& ( X628 = esk39_4(X627,X628,X629,X630)
| X629 = vvar(esk37_4(X627,X628,X629,X630))
| ~ epred1_4(X630,X629,X628,X627) )
& ( X629 = vvar(esk41_4(X627,X628,X629,X630))
| X629 = vvar(esk37_4(X627,X628,X629,X630))
| ~ epred1_4(X630,X629,X628,X627) )
& ( esk40_4(X627,X628,X629,X630) != esk41_4(X627,X628,X629,X630)
| X629 = vvar(esk37_4(X627,X628,X629,X630))
| ~ epred1_4(X630,X629,X628,X627) )
& ( X630 = vvar(esk41_4(X627,X628,X629,X630))
| X629 = vvar(esk37_4(X627,X628,X629,X630))
| ~ epred1_4(X630,X629,X628,X627) )
& ( X627 = esk40_4(X627,X628,X629,X630)
| esk36_4(X627,X628,X629,X630) = esk37_4(X627,X628,X629,X630)
| ~ epred1_4(X630,X629,X628,X627) )
& ( X628 = esk39_4(X627,X628,X629,X630)
| esk36_4(X627,X628,X629,X630) = esk37_4(X627,X628,X629,X630)
| ~ epred1_4(X630,X629,X628,X627) )
& ( X629 = vvar(esk41_4(X627,X628,X629,X630))
| esk36_4(X627,X628,X629,X630) = esk37_4(X627,X628,X629,X630)
| ~ epred1_4(X630,X629,X628,X627) )
& ( esk40_4(X627,X628,X629,X630) != esk41_4(X627,X628,X629,X630)
| esk36_4(X627,X628,X629,X630) = esk37_4(X627,X628,X629,X630)
| ~ epred1_4(X630,X629,X628,X627) )
& ( X630 = vvar(esk41_4(X627,X628,X629,X630))
| esk36_4(X627,X628,X629,X630) = esk37_4(X627,X628,X629,X630)
| ~ epred1_4(X630,X629,X628,X627) )
& ( X627 = esk40_4(X627,X628,X629,X630)
| X630 = esk38_4(X627,X628,X629,X630)
| ~ epred1_4(X630,X629,X628,X627) )
& ( X628 = esk39_4(X627,X628,X629,X630)
| X630 = esk38_4(X627,X628,X629,X630)
| ~ epred1_4(X630,X629,X628,X627) )
& ( X629 = vvar(esk41_4(X627,X628,X629,X630))
| X630 = esk38_4(X627,X628,X629,X630)
| ~ epred1_4(X630,X629,X628,X627) )
& ( esk40_4(X627,X628,X629,X630) != esk41_4(X627,X628,X629,X630)
| X630 = esk38_4(X627,X628,X629,X630)
| ~ epred1_4(X630,X629,X628,X627) )
& ( X630 = vvar(esk41_4(X627,X628,X629,X630))
| X630 = esk38_4(X627,X628,X629,X630)
| ~ epred1_4(X630,X629,X628,X627) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_61])])])]) ).
fof(i_0_79,plain,
! [X571,X572,X573,X574,X578] :
( X574 != vapp(X572,X571)
| X572 = vabs(esk18_4(X571,X572,X573,X574),esk19_4(X571,X572,X573,X574),esk20_4(X571,X572,X573,X574))
| X573 != vreduce(X572)
| visSomeExp(X573)
| X578 != vreduce(X574)
| X578 = 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_62])])])])]) ).
fof(i_0_80,plain,
! [X604,X605,X606] :
( ( X604 = vapp(esk29_3(X604,X605,X606),esk30_3(X604,X605,X606))
| X604 = vabs(esk25_3(X604,X605,X606),esk27_3(X604,X605,X606),esk26_3(X604,X605,X606))
| X604 = vvar(esk24_3(X604,X605,X606))
| ~ vtcheck(X606,X604,X605) )
& ( vtcheck(X606,esk29_3(X604,X605,X606),varrow(esk31_3(X604,X605,X606),X605))
| X604 = vabs(esk25_3(X604,X605,X606),esk27_3(X604,X605,X606),esk26_3(X604,X605,X606))
| X604 = vvar(esk24_3(X604,X605,X606))
| ~ vtcheck(X606,X604,X605) )
& ( vtcheck(X606,esk30_3(X604,X605,X606),esk31_3(X604,X605,X606))
| X604 = vabs(esk25_3(X604,X605,X606),esk27_3(X604,X605,X606),esk26_3(X604,X605,X606))
| X604 = vvar(esk24_3(X604,X605,X606))
| ~ vtcheck(X606,X604,X605) )
& ( X604 = vapp(esk29_3(X604,X605,X606),esk30_3(X604,X605,X606))
| X605 = varrow(esk27_3(X604,X605,X606),esk28_3(X604,X605,X606))
| X604 = vvar(esk24_3(X604,X605,X606))
| ~ vtcheck(X606,X604,X605) )
& ( vtcheck(X606,esk29_3(X604,X605,X606),varrow(esk31_3(X604,X605,X606),X605))
| X605 = varrow(esk27_3(X604,X605,X606),esk28_3(X604,X605,X606))
| X604 = vvar(esk24_3(X604,X605,X606))
| ~ vtcheck(X606,X604,X605) )
& ( vtcheck(X606,esk30_3(X604,X605,X606),esk31_3(X604,X605,X606))
| X605 = varrow(esk27_3(X604,X605,X606),esk28_3(X604,X605,X606))
| X604 = vvar(esk24_3(X604,X605,X606))
| ~ vtcheck(X606,X604,X605) )
& ( X604 = vapp(esk29_3(X604,X605,X606),esk30_3(X604,X605,X606))
| vtcheck(vbind(esk25_3(X604,X605,X606),esk27_3(X604,X605,X606),X606),esk26_3(X604,X605,X606),esk28_3(X604,X605,X606))
| X604 = vvar(esk24_3(X604,X605,X606))
| ~ vtcheck(X606,X604,X605) )
& ( vtcheck(X606,esk29_3(X604,X605,X606),varrow(esk31_3(X604,X605,X606),X605))
| vtcheck(vbind(esk25_3(X604,X605,X606),esk27_3(X604,X605,X606),X606),esk26_3(X604,X605,X606),esk28_3(X604,X605,X606))
| X604 = vvar(esk24_3(X604,X605,X606))
| ~ vtcheck(X606,X604,X605) )
& ( vtcheck(X606,esk30_3(X604,X605,X606),esk31_3(X604,X605,X606))
| vtcheck(vbind(esk25_3(X604,X605,X606),esk27_3(X604,X605,X606),X606),esk26_3(X604,X605,X606),esk28_3(X604,X605,X606))
| X604 = vvar(esk24_3(X604,X605,X606))
| ~ vtcheck(X606,X604,X605) )
& ( X604 = vapp(esk29_3(X604,X605,X606),esk30_3(X604,X605,X606))
| X604 = vabs(esk25_3(X604,X605,X606),esk27_3(X604,X605,X606),esk26_3(X604,X605,X606))
| vlookup(esk24_3(X604,X605,X606),X606) = vsomeType(X605)
| ~ vtcheck(X606,X604,X605) )
& ( vtcheck(X606,esk29_3(X604,X605,X606),varrow(esk31_3(X604,X605,X606),X605))
| X604 = vabs(esk25_3(X604,X605,X606),esk27_3(X604,X605,X606),esk26_3(X604,X605,X606))
| vlookup(esk24_3(X604,X605,X606),X606) = vsomeType(X605)
| ~ vtcheck(X606,X604,X605) )
& ( vtcheck(X606,esk30_3(X604,X605,X606),esk31_3(X604,X605,X606))
| X604 = vabs(esk25_3(X604,X605,X606),esk27_3(X604,X605,X606),esk26_3(X604,X605,X606))
| vlookup(esk24_3(X604,X605,X606),X606) = vsomeType(X605)
| ~ vtcheck(X606,X604,X605) )
& ( X604 = vapp(esk29_3(X604,X605,X606),esk30_3(X604,X605,X606))
| X605 = varrow(esk27_3(X604,X605,X606),esk28_3(X604,X605,X606))
| vlookup(esk24_3(X604,X605,X606),X606) = vsomeType(X605)
| ~ vtcheck(X606,X604,X605) )
& ( vtcheck(X606,esk29_3(X604,X605,X606),varrow(esk31_3(X604,X605,X606),X605))
| X605 = varrow(esk27_3(X604,X605,X606),esk28_3(X604,X605,X606))
| vlookup(esk24_3(X604,X605,X606),X606) = vsomeType(X605)
| ~ vtcheck(X606,X604,X605) )
& ( vtcheck(X606,esk30_3(X604,X605,X606),esk31_3(X604,X605,X606))
| X605 = varrow(esk27_3(X604,X605,X606),esk28_3(X604,X605,X606))
| vlookup(esk24_3(X604,X605,X606),X606) = vsomeType(X605)
| ~ vtcheck(X606,X604,X605) )
& ( X604 = vapp(esk29_3(X604,X605,X606),esk30_3(X604,X605,X606))
| vtcheck(vbind(esk25_3(X604,X605,X606),esk27_3(X604,X605,X606),X606),esk26_3(X604,X605,X606),esk28_3(X604,X605,X606))
| vlookup(esk24_3(X604,X605,X606),X606) = vsomeType(X605)
| ~ vtcheck(X606,X604,X605) )
& ( vtcheck(X606,esk29_3(X604,X605,X606),varrow(esk31_3(X604,X605,X606),X605))
| vtcheck(vbind(esk25_3(X604,X605,X606),esk27_3(X604,X605,X606),X606),esk26_3(X604,X605,X606),esk28_3(X604,X605,X606))
| vlookup(esk24_3(X604,X605,X606),X606) = vsomeType(X605)
| ~ vtcheck(X606,X604,X605) )
& ( vtcheck(X606,esk30_3(X604,X605,X606),esk31_3(X604,X605,X606))
| vtcheck(vbind(esk25_3(X604,X605,X606),esk27_3(X604,X605,X606),X606),esk26_3(X604,X605,X606),esk28_3(X604,X605,X606))
| vlookup(esk24_3(X604,X605,X606),X606) = vsomeType(X605)
| ~ vtcheck(X606,X604,X605) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['T-inv'])])])]) ).
cnf(i_0_81,plain,
( X1 = vapp(vabs(esk68_2(X1,X2),esk66_2(X1,X2),esk70_2(X1,X2)),esk69_2(X1,X2))
| X2 = vsomeExp(vapp(vabs(esk62_2(X1,X2),esk63_2(X1,X2),esk64_2(X1,X2)),vgetSomeExp(esk65_2(X1,X2))))
| X2 = vnoExp
| X2 = vnoExp
| ~ epred3_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_63]) ).
fof(i_0_82,plain,
! [X457,X458,X459,X460,X461,X462,X463] :
( X459 = X457
| ~ vtcheck(vbind(X459,X460,vbind(X457,X458,X461)),X462,X463)
| vtcheck(vbind(X457,X458,vbind(X459,X460,X461)),X462,X463) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['T-Context-Swap'])]) ).
cnf(i_0_83,plain,
( X1 = vsomeExp(vsubst(esk68_2(X2,X1),esk69_2(X2,X1),esk70_2(X2,X1)))
| X1 = vsomeExp(vapp(vabs(esk62_2(X2,X1),esk63_2(X2,X1),esk64_2(X2,X1)),vgetSomeExp(esk65_2(X2,X1))))
| X1 = vnoExp
| X1 = vnoExp
| ~ epred3_2(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_63]) ).
fof(i_0_84,plain,
! [X438,X439,X440] :
( ( X438 = esk8_3(X438,X439,X440)
| X438 = esk3_3(X438,X439,X440)
| X438 = esk1_3(X438,X439,X440)
| vlookup(X438,X439) != X440 )
& ( X439 = vbind(esk7_3(X438,X439,X440),esk6_3(X438,X439,X440),esk9_3(X438,X439,X440))
| X438 = esk3_3(X438,X439,X440)
| X438 = esk1_3(X438,X439,X440)
| vlookup(X438,X439) != X440 )
& ( esk8_3(X438,X439,X440) != esk7_3(X438,X439,X440)
| X438 = esk3_3(X438,X439,X440)
| X438 = esk1_3(X438,X439,X440)
| vlookup(X438,X439) != X440 )
& ( X440 = vlookup(esk8_3(X438,X439,X440),esk9_3(X438,X439,X440))
| X438 = esk3_3(X438,X439,X440)
| X438 = esk1_3(X438,X439,X440)
| vlookup(X438,X439) != X440 )
& ( X438 = esk8_3(X438,X439,X440)
| X439 = vbind(esk4_3(X438,X439,X440),esk5_3(X438,X439,X440),esk2_3(X438,X439,X440))
| X438 = esk1_3(X438,X439,X440)
| vlookup(X438,X439) != X440 )
& ( X439 = vbind(esk7_3(X438,X439,X440),esk6_3(X438,X439,X440),esk9_3(X438,X439,X440))
| X439 = vbind(esk4_3(X438,X439,X440),esk5_3(X438,X439,X440),esk2_3(X438,X439,X440))
| X438 = esk1_3(X438,X439,X440)
| vlookup(X438,X439) != X440 )
& ( esk8_3(X438,X439,X440) != esk7_3(X438,X439,X440)
| X439 = vbind(esk4_3(X438,X439,X440),esk5_3(X438,X439,X440),esk2_3(X438,X439,X440))
| X438 = esk1_3(X438,X439,X440)
| vlookup(X438,X439) != X440 )
& ( X440 = vlookup(esk8_3(X438,X439,X440),esk9_3(X438,X439,X440))
| X439 = vbind(esk4_3(X438,X439,X440),esk5_3(X438,X439,X440),esk2_3(X438,X439,X440))
| X438 = esk1_3(X438,X439,X440)
| vlookup(X438,X439) != X440 )
& ( X438 = esk8_3(X438,X439,X440)
| esk3_3(X438,X439,X440) = esk4_3(X438,X439,X440)
| X438 = esk1_3(X438,X439,X440)
| vlookup(X438,X439) != X440 )
& ( X439 = vbind(esk7_3(X438,X439,X440),esk6_3(X438,X439,X440),esk9_3(X438,X439,X440))
| esk3_3(X438,X439,X440) = esk4_3(X438,X439,X440)
| X438 = esk1_3(X438,X439,X440)
| vlookup(X438,X439) != X440 )
& ( esk8_3(X438,X439,X440) != esk7_3(X438,X439,X440)
| esk3_3(X438,X439,X440) = esk4_3(X438,X439,X440)
| X438 = esk1_3(X438,X439,X440)
| vlookup(X438,X439) != X440 )
& ( X440 = vlookup(esk8_3(X438,X439,X440),esk9_3(X438,X439,X440))
| esk3_3(X438,X439,X440) = esk4_3(X438,X439,X440)
| X438 = esk1_3(X438,X439,X440)
| vlookup(X438,X439) != X440 )
& ( X438 = esk8_3(X438,X439,X440)
| X440 = vsomeType(esk5_3(X438,X439,X440))
| X438 = esk1_3(X438,X439,X440)
| vlookup(X438,X439) != X440 )
& ( X439 = vbind(esk7_3(X438,X439,X440),esk6_3(X438,X439,X440),esk9_3(X438,X439,X440))
| X440 = vsomeType(esk5_3(X438,X439,X440))
| X438 = esk1_3(X438,X439,X440)
| vlookup(X438,X439) != X440 )
& ( esk8_3(X438,X439,X440) != esk7_3(X438,X439,X440)
| X440 = vsomeType(esk5_3(X438,X439,X440))
| X438 = esk1_3(X438,X439,X440)
| vlookup(X438,X439) != X440 )
& ( X440 = vlookup(esk8_3(X438,X439,X440),esk9_3(X438,X439,X440))
| X440 = vsomeType(esk5_3(X438,X439,X440))
| X438 = esk1_3(X438,X439,X440)
| vlookup(X438,X439) != X440 )
& ( X438 = esk8_3(X438,X439,X440)
| X438 = esk3_3(X438,X439,X440)
| X439 = vempty
| vlookup(X438,X439) != X440 )
& ( X439 = vbind(esk7_3(X438,X439,X440),esk6_3(X438,X439,X440),esk9_3(X438,X439,X440))
| X438 = esk3_3(X438,X439,X440)
| X439 = vempty
| vlookup(X438,X439) != X440 )
& ( esk8_3(X438,X439,X440) != esk7_3(X438,X439,X440)
| X438 = esk3_3(X438,X439,X440)
| X439 = vempty
| vlookup(X438,X439) != X440 )
& ( X440 = vlookup(esk8_3(X438,X439,X440),esk9_3(X438,X439,X440))
| X438 = esk3_3(X438,X439,X440)
| X439 = vempty
| vlookup(X438,X439) != X440 )
& ( X438 = esk8_3(X438,X439,X440)
| X439 = vbind(esk4_3(X438,X439,X440),esk5_3(X438,X439,X440),esk2_3(X438,X439,X440))
| X439 = vempty
| vlookup(X438,X439) != X440 )
& ( X439 = vbind(esk7_3(X438,X439,X440),esk6_3(X438,X439,X440),esk9_3(X438,X439,X440))
| X439 = vbind(esk4_3(X438,X439,X440),esk5_3(X438,X439,X440),esk2_3(X438,X439,X440))
| X439 = vempty
| vlookup(X438,X439) != X440 )
& ( esk8_3(X438,X439,X440) != esk7_3(X438,X439,X440)
| X439 = vbind(esk4_3(X438,X439,X440),esk5_3(X438,X439,X440),esk2_3(X438,X439,X440))
| X439 = vempty
| vlookup(X438,X439) != X440 )
& ( X440 = vlookup(esk8_3(X438,X439,X440),esk9_3(X438,X439,X440))
| X439 = vbind(esk4_3(X438,X439,X440),esk5_3(X438,X439,X440),esk2_3(X438,X439,X440))
| X439 = vempty
| vlookup(X438,X439) != X440 )
& ( X438 = esk8_3(X438,X439,X440)
| esk3_3(X438,X439,X440) = esk4_3(X438,X439,X440)
| X439 = vempty
| vlookup(X438,X439) != X440 )
& ( X439 = vbind(esk7_3(X438,X439,X440),esk6_3(X438,X439,X440),esk9_3(X438,X439,X440))
| esk3_3(X438,X439,X440) = esk4_3(X438,X439,X440)
| X439 = vempty
| vlookup(X438,X439) != X440 )
& ( esk8_3(X438,X439,X440) != esk7_3(X438,X439,X440)
| esk3_3(X438,X439,X440) = esk4_3(X438,X439,X440)
| X439 = vempty
| vlookup(X438,X439) != X440 )
& ( X440 = vlookup(esk8_3(X438,X439,X440),esk9_3(X438,X439,X440))
| esk3_3(X438,X439,X440) = esk4_3(X438,X439,X440)
| X439 = vempty
| vlookup(X438,X439) != X440 )
& ( X438 = esk8_3(X438,X439,X440)
| X440 = vsomeType(esk5_3(X438,X439,X440))
| X439 = vempty
| vlookup(X438,X439) != X440 )
& ( X439 = vbind(esk7_3(X438,X439,X440),esk6_3(X438,X439,X440),esk9_3(X438,X439,X440))
| X440 = vsomeType(esk5_3(X438,X439,X440))
| X439 = vempty
| vlookup(X438,X439) != X440 )
& ( esk8_3(X438,X439,X440) != esk7_3(X438,X439,X440)
| X440 = vsomeType(esk5_3(X438,X439,X440))
| X439 = vempty
| vlookup(X438,X439) != X440 )
& ( X440 = vlookup(esk8_3(X438,X439,X440),esk9_3(X438,X439,X440))
| X440 = vsomeType(esk5_3(X438,X439,X440))
| X439 = vempty
| vlookup(X438,X439) != X440 )
& ( X438 = esk8_3(X438,X439,X440)
| X438 = esk3_3(X438,X439,X440)
| X440 = vnoType
| vlookup(X438,X439) != X440 )
& ( X439 = vbind(esk7_3(X438,X439,X440),esk6_3(X438,X439,X440),esk9_3(X438,X439,X440))
| X438 = esk3_3(X438,X439,X440)
| X440 = vnoType
| vlookup(X438,X439) != X440 )
& ( esk8_3(X438,X439,X440) != esk7_3(X438,X439,X440)
| X438 = esk3_3(X438,X439,X440)
| X440 = vnoType
| vlookup(X438,X439) != X440 )
& ( X440 = vlookup(esk8_3(X438,X439,X440),esk9_3(X438,X439,X440))
| X438 = esk3_3(X438,X439,X440)
| X440 = vnoType
| vlookup(X438,X439) != X440 )
& ( X438 = esk8_3(X438,X439,X440)
| X439 = vbind(esk4_3(X438,X439,X440),esk5_3(X438,X439,X440),esk2_3(X438,X439,X440))
| X440 = vnoType
| vlookup(X438,X439) != X440 )
& ( X439 = vbind(esk7_3(X438,X439,X440),esk6_3(X438,X439,X440),esk9_3(X438,X439,X440))
| X439 = vbind(esk4_3(X438,X439,X440),esk5_3(X438,X439,X440),esk2_3(X438,X439,X440))
| X440 = vnoType
| vlookup(X438,X439) != X440 )
& ( esk8_3(X438,X439,X440) != esk7_3(X438,X439,X440)
| X439 = vbind(esk4_3(X438,X439,X440),esk5_3(X438,X439,X440),esk2_3(X438,X439,X440))
| X440 = vnoType
| vlookup(X438,X439) != X440 )
& ( X440 = vlookup(esk8_3(X438,X439,X440),esk9_3(X438,X439,X440))
| X439 = vbind(esk4_3(X438,X439,X440),esk5_3(X438,X439,X440),esk2_3(X438,X439,X440))
| X440 = vnoType
| vlookup(X438,X439) != X440 )
& ( X438 = esk8_3(X438,X439,X440)
| esk3_3(X438,X439,X440) = esk4_3(X438,X439,X440)
| X440 = vnoType
| vlookup(X438,X439) != X440 )
& ( X439 = vbind(esk7_3(X438,X439,X440),esk6_3(X438,X439,X440),esk9_3(X438,X439,X440))
| esk3_3(X438,X439,X440) = esk4_3(X438,X439,X440)
| X440 = vnoType
| vlookup(X438,X439) != X440 )
& ( esk8_3(X438,X439,X440) != esk7_3(X438,X439,X440)
| esk3_3(X438,X439,X440) = esk4_3(X438,X439,X440)
| X440 = vnoType
| vlookup(X438,X439) != X440 )
& ( X440 = vlookup(esk8_3(X438,X439,X440),esk9_3(X438,X439,X440))
| esk3_3(X438,X439,X440) = esk4_3(X438,X439,X440)
| X440 = vnoType
| vlookup(X438,X439) != X440 )
& ( X438 = esk8_3(X438,X439,X440)
| X440 = vsomeType(esk5_3(X438,X439,X440))
| X440 = vnoType
| vlookup(X438,X439) != X440 )
& ( X439 = vbind(esk7_3(X438,X439,X440),esk6_3(X438,X439,X440),esk9_3(X438,X439,X440))
| X440 = vsomeType(esk5_3(X438,X439,X440))
| X440 = vnoType
| vlookup(X438,X439) != X440 )
& ( esk8_3(X438,X439,X440) != esk7_3(X438,X439,X440)
| X440 = vsomeType(esk5_3(X438,X439,X440))
| X440 = vnoType
| vlookup(X438,X439) != X440 )
& ( X440 = vlookup(esk8_3(X438,X439,X440),esk9_3(X438,X439,X440))
| X440 = vsomeType(esk5_3(X438,X439,X440))
| X440 = vnoType
| vlookup(X438,X439) != X440 ) ),
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_85,plain,
! [X497,X498,X499,X500,X501,X502,X503,X504,X505,X506] :
( X497 != X501
| X498 != X502
| X499 != vabs(X504,X503,X506)
| X501 = X504
| ~ visFreeVar(X504,X502)
| X505 != vgensym(vapp(vapp(X502,X506),vvar(X501)))
| X500 != vsubst(X497,X498,X499)
| X500 = vsubst(X501,X502,vabs(X505,X503,vsubst(X504,vvar(X505),X506))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[subst4])]) ).
fof(i_0_86,plain,
! [X450,X451,X452,X453,X454,X455,X456] :
( X452 != X450
| ~ vtcheck(vbind(X452,X453,vbind(X450,X451,X454)),X455,X456)
| vtcheck(vbind(X452,X453,X454),X455,X456) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['T-Context-Duplicate'])]) ).
cnf(i_0_87,plain,
( X2 = vsomeExp(vapp(vabs(esk62_2(X1,X2),esk63_2(X1,X2),esk64_2(X1,X2)),vgetSomeExp(esk65_2(X1,X2))))
| X2 = vnoExp
| X2 = vnoExp
| ~ visSomeExp(esk67_2(X1,X2))
| ~ epred3_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_63]) ).
cnf(i_0_88,plain,
( esk67_2(X1,X2) = vreduce(esk69_2(X1,X2))
| X2 = vsomeExp(vapp(vabs(esk62_2(X1,X2),esk63_2(X1,X2),esk64_2(X1,X2)),vgetSomeExp(esk65_2(X1,X2))))
| X2 = vnoExp
| X2 = vnoExp
| ~ epred3_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_63]) ).
cnf(i_0_89,plain,
( visValue(esk69_2(X1,X2))
| X2 = vsomeExp(vapp(vabs(esk62_2(X1,X2),esk63_2(X1,X2),esk64_2(X1,X2)),vgetSomeExp(esk65_2(X1,X2))))
| X2 = vnoExp
| X2 = vnoExp
| ~ epred3_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_63]) ).
cnf(i_0_90,plain,
( X1 = vapp(vabs(esk68_2(X1,X2),esk66_2(X1,X2),esk70_2(X1,X2)),esk69_2(X1,X2))
| X1 = vapp(vabs(esk62_2(X1,X2),esk63_2(X1,X2),esk64_2(X1,X2)),esk61_2(X1,X2))
| X2 = vnoExp
| X2 = vnoExp
| ~ epred3_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_63]) ).
cnf(i_0_91,plain,
( X1 = vsomeExp(vsubst(esk68_2(X2,X1),esk69_2(X2,X1),esk70_2(X2,X1)))
| X2 = vapp(vabs(esk62_2(X2,X1),esk63_2(X2,X1),esk64_2(X2,X1)),esk61_2(X2,X1))
| X1 = vnoExp
| X1 = vnoExp
| ~ epred3_2(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_63]) ).
fof(i_0_92,plain,
! [X672,X673,X682,X683,X684] :
( ( X672 = vapp(esk76_2(X672,X673),esk78_2(X672,X673))
| X672 = vapp(vabs(esk71_2(X672,X673),esk72_2(X672,X673),esk73_2(X672,X673)),esk75_2(X672,X673))
| epred3_2(X673,X672)
| ~ epred4_2(X673,X672) )
& ( esk76_2(X672,X673) != vabs(X682,X683,X684)
| X672 = vapp(vabs(esk71_2(X672,X673),esk72_2(X672,X673),esk73_2(X672,X673)),esk75_2(X672,X673))
| epred3_2(X673,X672)
| ~ epred4_2(X673,X672) )
& ( esk77_2(X672,X673) = vreduce(esk76_2(X672,X673))
| X672 = vapp(vabs(esk71_2(X672,X673),esk72_2(X672,X673),esk73_2(X672,X673)),esk75_2(X672,X673))
| epred3_2(X673,X672)
| ~ epred4_2(X673,X672) )
& ( visSomeExp(esk77_2(X672,X673))
| X672 = vapp(vabs(esk71_2(X672,X673),esk72_2(X672,X673),esk73_2(X672,X673)),esk75_2(X672,X673))
| epred3_2(X673,X672)
| ~ epred4_2(X673,X672) )
& ( X673 = vsomeExp(vapp(vgetSomeExp(esk77_2(X672,X673)),esk78_2(X672,X673)))
| X672 = vapp(vabs(esk71_2(X672,X673),esk72_2(X672,X673),esk73_2(X672,X673)),esk75_2(X672,X673))
| epred3_2(X673,X672)
| ~ epred4_2(X673,X672) )
& ( X672 = vapp(esk76_2(X672,X673),esk78_2(X672,X673))
| esk74_2(X672,X673) = vreduce(esk75_2(X672,X673))
| epred3_2(X673,X672)
| ~ epred4_2(X673,X672) )
& ( esk76_2(X672,X673) != vabs(X682,X683,X684)
| esk74_2(X672,X673) = vreduce(esk75_2(X672,X673))
| epred3_2(X673,X672)
| ~ epred4_2(X673,X672) )
& ( esk77_2(X672,X673) = vreduce(esk76_2(X672,X673))
| esk74_2(X672,X673) = vreduce(esk75_2(X672,X673))
| epred3_2(X673,X672)
| ~ epred4_2(X673,X672) )
& ( visSomeExp(esk77_2(X672,X673))
| esk74_2(X672,X673) = vreduce(esk75_2(X672,X673))
| epred3_2(X673,X672)
| ~ epred4_2(X673,X672) )
& ( X673 = vsomeExp(vapp(vgetSomeExp(esk77_2(X672,X673)),esk78_2(X672,X673)))
| esk74_2(X672,X673) = vreduce(esk75_2(X672,X673))
| epred3_2(X673,X672)
| ~ epred4_2(X673,X672) )
& ( X672 = vapp(esk76_2(X672,X673),esk78_2(X672,X673))
| ~ visSomeExp(esk74_2(X672,X673))
| epred3_2(X673,X672)
| ~ epred4_2(X673,X672) )
& ( esk76_2(X672,X673) != vabs(X682,X683,X684)
| ~ visSomeExp(esk74_2(X672,X673))
| epred3_2(X673,X672)
| ~ epred4_2(X673,X672) )
& ( esk77_2(X672,X673) = vreduce(esk76_2(X672,X673))
| ~ visSomeExp(esk74_2(X672,X673))
| epred3_2(X673,X672)
| ~ epred4_2(X673,X672) )
& ( visSomeExp(esk77_2(X672,X673))
| ~ visSomeExp(esk74_2(X672,X673))
| epred3_2(X673,X672)
| ~ epred4_2(X673,X672) )
& ( X673 = vsomeExp(vapp(vgetSomeExp(esk77_2(X672,X673)),esk78_2(X672,X673)))
| ~ visSomeExp(esk74_2(X672,X673))
| epred3_2(X673,X672)
| ~ epred4_2(X673,X672) )
& ( X672 = vapp(esk76_2(X672,X673),esk78_2(X672,X673))
| ~ visValue(esk75_2(X672,X673))
| epred3_2(X673,X672)
| ~ epred4_2(X673,X672) )
& ( esk76_2(X672,X673) != vabs(X682,X683,X684)
| ~ visValue(esk75_2(X672,X673))
| epred3_2(X673,X672)
| ~ epred4_2(X673,X672) )
& ( esk77_2(X672,X673) = vreduce(esk76_2(X672,X673))
| ~ visValue(esk75_2(X672,X673))
| epred3_2(X673,X672)
| ~ epred4_2(X673,X672) )
& ( visSomeExp(esk77_2(X672,X673))
| ~ visValue(esk75_2(X672,X673))
| epred3_2(X673,X672)
| ~ epred4_2(X673,X672) )
& ( X673 = vsomeExp(vapp(vgetSomeExp(esk77_2(X672,X673)),esk78_2(X672,X673)))
| ~ visValue(esk75_2(X672,X673))
| epred3_2(X673,X672)
| ~ epred4_2(X673,X672) )
& ( X672 = vapp(esk76_2(X672,X673),esk78_2(X672,X673))
| X673 = vnoExp
| epred3_2(X673,X672)
| ~ epred4_2(X673,X672) )
& ( esk76_2(X672,X673) != vabs(X682,X683,X684)
| X673 = vnoExp
| epred3_2(X673,X672)
| ~ epred4_2(X673,X672) )
& ( esk77_2(X672,X673) = vreduce(esk76_2(X672,X673))
| X673 = vnoExp
| epred3_2(X673,X672)
| ~ epred4_2(X673,X672) )
& ( visSomeExp(esk77_2(X672,X673))
| X673 = vnoExp
| epred3_2(X673,X672)
| ~ epred4_2(X673,X672) )
& ( X673 = vsomeExp(vapp(vgetSomeExp(esk77_2(X672,X673)),esk78_2(X672,X673)))
| X673 = vnoExp
| epred3_2(X673,X672)
| ~ epred4_2(X673,X672) ) ),
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_64])])])])])]) ).
fof(i_0_93,plain,
! [X542,X543,X544,X545,X546,X547,X548] :
( X543 != vapp(vabs(X545,X546,X547),X542)
| X548 != vreduce(X542)
| ~ visSomeExp(X548)
| X544 != vreduce(X543)
| X544 = vsomeExp(vapp(vabs(X545,X546,X547),vgetSomeExp(X548))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[reduce2])]) ).
fof(i_0_94,plain,
! [X594,X595,X596,X597,X598] :
( ~ vtcheck(vbind(X595,X597,X594),X596,X598)
| vtcheck(X594,vabs(X595,X597,X596),varrow(X597,X598)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['T-abs'])]) ).
cnf(i_0_95,plain,
( X1 = vapp(vabs(esk62_2(X1,X2),esk63_2(X1,X2),esk64_2(X1,X2)),esk61_2(X1,X2))
| X2 = vnoExp
| X2 = vnoExp
| ~ visSomeExp(esk67_2(X1,X2))
| ~ epred3_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_63]) ).
cnf(i_0_96,plain,
( esk67_2(X1,X2) = vreduce(esk69_2(X1,X2))
| X1 = vapp(vabs(esk62_2(X1,X2),esk63_2(X1,X2),esk64_2(X1,X2)),esk61_2(X1,X2))
| X2 = vnoExp
| X2 = vnoExp
| ~ epred3_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_63]) ).
cnf(i_0_97,plain,
( X1 = vapp(vabs(esk68_2(X1,X2),esk66_2(X1,X2),esk70_2(X1,X2)),esk69_2(X1,X2))
| esk65_2(X1,X2) = vreduce(esk61_2(X1,X2))
| X2 = vnoExp
| X2 = vnoExp
| ~ epred3_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_63]) ).
fof(i_0_98,plain,
! [X507,X508,X509,X510,X511,X512,X513,X514,X515] :
( X507 != X513
| X508 != X514
| X509 != vabs(X511,X512,X515)
| X513 = X511
| visFreeVar(X511,X514)
| X510 != vsubst(X507,X508,X509)
| X510 = vabs(X511,X512,vsubst(X513,X514,X515)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_65])]) ).
cnf(i_0_99,plain,
( X1 = vapp(vabs(esk68_2(X1,X2),esk66_2(X1,X2),esk70_2(X1,X2)),esk69_2(X1,X2))
| visSomeExp(esk65_2(X1,X2))
| X2 = vnoExp
| X2 = vnoExp
| ~ epred3_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_63]) ).
cnf(i_0_100,plain,
( visValue(esk69_2(X1,X2))
| X1 = vapp(vabs(esk62_2(X1,X2),esk63_2(X1,X2),esk64_2(X1,X2)),esk61_2(X1,X2))
| X2 = vnoExp
| X2 = vnoExp
| ~ epred3_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_63]) ).
fof(i_0_101,plain,
! [X480,X481,X482,X483,X484,X485,X486,X487] :
( X480 != X485
| X481 != X486
| X482 != vapp(X484,X487)
| X483 != vsubst(X480,X481,X482)
| X483 = vapp(vsubst(X485,X486,X484),vsubst(X485,X486,X487)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[subst2])]) ).
cnf(i_0_102,plain,
( X1 = vsomeExp(vsubst(esk68_2(X2,X1),esk69_2(X2,X1),esk70_2(X2,X1)))
| esk65_2(X2,X1) = vreduce(esk61_2(X2,X1))
| X1 = vnoExp
| X1 = vnoExp
| ~ epred3_2(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_63]) ).
fof(i_0_103,plain,
! [X549,X550,X551,X552,X553,X554,X555] :
( X551 != vapp(vabs(X553,X549,X555),X554)
| X550 != vreduce(X554)
| visSomeExp(X550)
| ~ visValue(X554)
| X552 != vreduce(X551)
| X552 = vsomeExp(vsubst(X553,X554,X555)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_66])]) ).
cnf(i_0_104,plain,
( X1 = vsomeExp(vsubst(esk68_2(X2,X1),esk69_2(X2,X1),esk70_2(X2,X1)))
| visSomeExp(esk65_2(X2,X1))
| X1 = vnoExp
| X1 = vnoExp
| ~ epred3_2(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_63]) ).
fof(i_0_105,plain,
! [X599,X600,X601,X602,X603] :
( ~ vtcheck(X600,X601,varrow(X599,X603))
| ~ vtcheck(X600,X602,X599)
| vtcheck(X600,vapp(X601,X602),X603) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['T-app'])]) ).
fof(i_0_106,negated_conjecture,
( vlookup(esk32_0,esk34_0) = vnoType
& vtcheck(esk34_0,vapp(ve1app,ve2app),esk35_0)
& ~ vtcheck(vbind(esk32_0,esk33_0,esk34_0),vapp(ve1app,ve2app),esk35_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_67])])]) ).
fof(i_0_107,plain,
! [X619,X620,X621,X622] :
( vlookup(X619,X621) != vnoType
| ~ vtcheck(X621,ve2app,X622)
| vtcheck(vbind(X619,X620,X621),ve2app,X622) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['T-Weak-app-IH2'])]) ).
fof(i_0_108,plain,
! [X615,X616,X617,X618] :
( vlookup(X615,X617) != vnoType
| ~ vtcheck(X617,ve1app,X618)
| vtcheck(vbind(X615,X616,X617),ve1app,X618) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['T-Weak-app-IH1'])]) ).
fof(i_0_109,plain,
! [X488,X489,X490,X491,X492,X493,X494,X495,X496] :
( X490 != X489
| X491 != X488
| X492 != vabs(X494,X495,X496)
| X489 != X494
| X493 != vsubst(X490,X491,X492)
| X493 = vabs(X494,X495,X496) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[subst3])]) ).
fof(i_0_110,plain,
! [X556,X557,X558,X559,X560,X561,X562] :
( X561 != vapp(vabs(X556,X557,X558),X560)
| X559 != vreduce(X560)
| visSomeExp(X559)
| visValue(X560)
| X562 != vreduce(X561)
| X562 = vnoExp ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_68])]) ).
fof(i_0_111,plain,
! [X402,X403,X404,X405,X406,X407] :
( ( X402 = X405
| vbind(X402,X403,X404) != vbind(X405,X406,X407) )
& ( X403 = X406
| vbind(X402,X403,X404) != vbind(X405,X406,X407) )
& ( X404 = X407
| vbind(X402,X403,X404) != vbind(X405,X406,X407) )
& ( X402 != X405
| X403 != X406
| X404 != X407
| vbind(X402,X403,X404) = vbind(X405,X406,X407) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['EQ-bind'])])]) ).
fof(i_0_112,plain,
! [X356,X357,X358,X359,X360,X361] :
( ( X356 = X359
| vabs(X356,X357,X358) != vabs(X359,X360,X361) )
& ( X357 = X360
| vabs(X356,X357,X358) != vabs(X359,X360,X361) )
& ( X358 = X361
| vabs(X356,X357,X358) != vabs(X359,X360,X361) )
& ( X356 != X359
| X357 != X360
| X358 != X361
| vabs(X356,X357,X358) = vabs(X359,X360,X361) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['EQ-abs'])])]) ).
fof(i_0_113,plain,
! [X431,X432,X433,X434,X435,X436,X437] :
( X433 != X436
| X434 != vbind(X432,X431,X437)
| X436 = X432
| X435 != vlookup(X433,X434)
| X435 = vlookup(X436,X437) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[lookup2])]) ).
fof(i_0_114,plain,
! [X579,X580,X584,X585,X586] :
( ( X579 = vapp(esk22_2(X579,X580),esk21_2(X579,X580))
| epred4_2(X580,X579)
| vreduce(X579) != X580 )
& ( esk22_2(X579,X580) != vabs(X584,X585,X586)
| epred4_2(X580,X579)
| vreduce(X579) != X580 )
& ( esk23_2(X579,X580) = vreduce(esk22_2(X579,X580))
| epred4_2(X580,X579)
| vreduce(X579) != X580 )
& ( ~ visSomeExp(esk23_2(X579,X580))
| epred4_2(X580,X579)
| vreduce(X579) != X580 )
& ( X580 = vnoExp
| epred4_2(X580,X579)
| vreduce(X579) != X580 ) ),
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_115,plain,
! [X391,X392,X393,X394,X395,X396] :
( ( X394 = X395
| ~ visFreeVar(X395,X396)
| visFreeVar(X392,X393)
| X392 != X395
| X393 != vabs(X394,X391,X396) )
& ( X394 != X395
| ~ visFreeVar(X392,X393)
| X392 != X395
| X393 != vabs(X394,X391,X396) )
& ( visFreeVar(X395,X396)
| ~ visFreeVar(X392,X393)
| X392 != X395
| X393 != vabs(X394,X391,X396) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[isFreeVar1])])]) ).
fof(i_0_116,plain,
! [X424,X425,X426,X427,X428,X429,X430] :
( X427 != X425
| X428 != vbind(X426,X430,X424)
| X425 != X426
| X429 != vlookup(X427,X428)
| X429 = vsomeType(X430) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[lookup1])]) ).
cnf(i_0_117,plain,
( esk65_2(X1,X2) = vreduce(esk61_2(X1,X2))
| X2 = vnoExp
| X2 = vnoExp
| ~ visSomeExp(esk67_2(X1,X2))
| ~ epred3_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_63]) ).
cnf(i_0_118,plain,
( esk67_2(X1,X2) = vreduce(esk69_2(X1,X2))
| esk65_2(X1,X2) = vreduce(esk61_2(X1,X2))
| X2 = vnoExp
| X2 = vnoExp
| ~ epred3_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_63]) ).
fof(i_0_119,plain,
! [X473,X474,X475,X476,X477,X478,X479] :
( X475 != X474
| X476 != X473
| X477 != vvar(X479)
| X474 = X479
| X478 != vsubst(X475,X476,X477)
| X478 = vvar(X479) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[subst1])]) ).
fof(i_0_120,plain,
! [X466,X467,X468,X469,X470,X471,X472] :
( X468 != X466
| X469 != X472
| X470 != vvar(X467)
| X466 != X467
| X471 != vsubst(X468,X469,X470)
| X471 = X472 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[subst0])]) ).
fof(i_0_121,plain,
! [X373,X374,X375,X376,X377] : vabs(X373,X374,X375) != vapp(X376,X377),
inference(variable_rename,[status(thm)],['DIFF-abs-app']) ).
cnf(i_0_122,plain,
( visSomeExp(esk65_2(X1,X2))
| X2 = vnoExp
| X2 = vnoExp
| ~ visSomeExp(esk67_2(X1,X2))
| ~ epred3_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_63]) ).
cnf(i_0_123,plain,
( esk67_2(X1,X2) = vreduce(esk69_2(X1,X2))
| visSomeExp(esk65_2(X1,X2))
| X2 = vnoExp
| X2 = vnoExp
| ~ epred3_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_63]) ).
cnf(i_0_124,plain,
( visValue(esk69_2(X1,X2))
| esk65_2(X1,X2) = vreduce(esk61_2(X1,X2))
| X2 = vnoExp
| X2 = vnoExp
| ~ epred3_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_63]) ).
fof(i_0_125,plain,
! [X537,X538,X539,X540,X541] :
( X540 != vabs(X537,X538,X539)
| X541 != vreduce(X540)
| X541 = vnoExp ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[reduce1])]) ).
fof(i_0_126,plain,
! [X366,X367,X368,X369] : vvar(X366) != vabs(X367,X368,X369),
inference(variable_rename,[status(thm)],['DIFF-var-abs']) ).
fof(i_0_127,plain,
! [X378,X379,X380,X381] :
( X381 != vabs(X378,X379,X380)
| visValue(X381) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[isValue0])]) ).
fof(i_0_128,plain,
! [X591,X592,X593] :
( vlookup(X592,X591) != vsomeType(X593)
| vtcheck(X591,vvar(X592),X593) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['T-var'])]) ).
fof(i_0_129,plain,
! [X410,X411,X412] : vempty != vbind(X410,X411,X412),
inference(variable_rename,[status(thm)],['DIFF-empty-bind']) ).
cnf(i_0_130,plain,
( visValue(esk69_2(X1,X2))
| visSomeExp(esk65_2(X1,X2))
| X2 = vnoExp
| X2 = vnoExp
| ~ epred3_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_63]) ).
fof(i_0_131,plain,
! [X397,X398,X399,X400,X401] :
( ( ~ visFreeVar(X400,X399)
| visFreeVar(X397,X398)
| X397 != X400
| X398 != vapp(X399,X401) )
& ( ~ visFreeVar(X400,X401)
| visFreeVar(X397,X398)
| X397 != X400
| X398 != vapp(X399,X401) )
& ( ~ visFreeVar(X397,X398)
| visFreeVar(X400,X399)
| visFreeVar(X400,X401)
| X397 != X400
| X398 != vapp(X399,X401) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[isFreeVar2])])]) ).
fof(i_0_132,plain,
! [X587,X588,X589,X590] :
( ( X587 = X589
| varrow(X587,X588) != varrow(X589,X590) )
& ( X588 = X590
| varrow(X587,X588) != varrow(X589,X590) )
& ( X587 != X589
| X588 != X590
| varrow(X587,X588) = varrow(X589,X590) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['EQ-arrow'])])]) ).
fof(i_0_133,plain,
! [X362,X363,X364,X365] :
( ( X362 = X364
| vapp(X362,X363) != vapp(X364,X365) )
& ( X363 = X365
| vapp(X362,X363) != vapp(X364,X365) )
& ( X362 != X364
| X363 != X365
| vapp(X362,X363) = vapp(X364,X365) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['EQ-app'])])]) ).
fof(i_0_134,plain,
! [X387,X388,X389,X390] :
( ( X389 != X390
| visFreeVar(X387,X388)
| X387 != X390
| X388 != vvar(X389) )
& ( ~ visFreeVar(X387,X388)
| X389 = X390
| X387 != X390
| X388 != vvar(X389) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[isFreeVar0])])]) ).
fof(i_0_135,plain,
! [X420,X421,X422,X423] :
( X421 != X420
| X422 != vempty
| X423 != vlookup(X421,X422)
| X423 = vnoType ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[lookup0])]) ).
fof(i_0_136,plain,
! [X384,X385,X386] :
( X386 != vapp(X384,X385)
| ~ visValue(X386) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_70])]) ).
fof(i_0_137,plain,
! [X464,X465] :
( vgensym(X465) != X464
| ~ visFreeVar(X464,X465) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_71])]) ).
fof(i_0_138,plain,
! [X370,X371,X372] : vvar(X370) != vapp(X371,X372),
inference(variable_rename,[status(thm)],['DIFF-var-app']) ).
fof(i_0_139,plain,
! [X531,X532,X533] :
( X531 != vsomeExp(X533)
| X532 != vgetSomeExp(X531)
| X532 = X533 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[getSomeExp0])]) ).
fof(i_0_140,plain,
! [X417,X418,X419] :
( X417 != vsomeType(X419)
| X418 != vgetSomeType(X417)
| X418 = X419 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[getSomeType0])]) ).
fof(i_0_141,plain,
! [X534,X535,X536] :
( X535 != vvar(X534)
| X536 != vreduce(X535)
| X536 = vnoExp ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[reduce0])]) ).
fof(i_0_142,plain,
! [X382,X383] :
( X383 != vvar(X382)
| ~ visValue(X383) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_72])]) ).
fof(i_0_143,plain,
! [X525,X526] :
( ( vsomeExp(X525) != vsomeExp(X526)
| X525 = X526 )
& ( X525 != X526
| vsomeExp(X525) = vsomeExp(X526) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['EQ-someExp'])]) ).
fof(i_0_144,plain,
! [X408,X409] :
( ( vsomeType(X408) != vsomeType(X409)
| X408 = X409 )
& ( X408 != X409
| vsomeType(X408) = vsomeType(X409) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['EQ-someType'])]) ).
fof(i_0_145,plain,
! [X354,X355] :
( ( vvar(X354) != vvar(X355)
| X354 = X355 )
& ( X354 != X355
| vvar(X354) = vvar(X355) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['EQ-var'])]) ).
fof(i_0_146,plain,
! [X529,X530] :
( X530 != vsomeExp(X529)
| visSomeExp(X530) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[isSomeExp1])]) ).
fof(i_0_147,plain,
! [X415,X416] :
( X416 != vsomeType(X415)
| visSomeType(X416) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[isSomeType1])]) ).
fof(i_0_148,plain,
! [X528] :
( X528 != vnoExp
| ~ visSomeExp(X528) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_73])]) ).
fof(i_0_149,plain,
! [X414] :
( X414 != vnoType
| ~ visSomeType(X414) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_74])]) ).
fof(i_0_150,plain,
! [X527] : vnoExp != vsomeExp(X527),
inference(variable_rename,[status(thm)],['DIFF-noExp-someExp']) ).
fof(i_0_151,plain,
! [X413] : vnoType != vsomeType(X413),
inference(variable_rename,[status(thm)],['DIFF-noType-someType']) ).
cnf(i_0_152,plain,
( X1 = vsubst(esk51_4(X2,X3,X4,X1),esk52_4(X2,X3,X4,X1),vabs(esk55_4(X2,X3,X4,X1),esk53_4(X2,X3,X4,X1),vsubst(esk54_4(X2,X3,X4,X1),vvar(esk55_4(X2,X3,X4,X1)),esk56_4(X2,X3,X4,X1))))
| X1 = vabs(esk48_4(X2,X3,X4,X1),esk49_4(X2,X3,X4,X1),esk50_4(X2,X3,X4,X1))
| X1 = vapp(vsubst(esk43_4(X2,X3,X4,X1),esk44_4(X2,X3,X4,X1),esk42_4(X2,X3,X4,X1)),vsubst(esk43_4(X2,X3,X4,X1),esk44_4(X2,X3,X4,X1),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_75]),
[final] ).
cnf(i_0_153,plain,
( X1 = vsubst(esk51_4(X2,X3,X4,X1),esk52_4(X2,X3,X4,X1),vabs(esk55_4(X2,X3,X4,X1),esk53_4(X2,X3,X4,X1),vsubst(esk54_4(X2,X3,X4,X1),vvar(esk55_4(X2,X3,X4,X1)),esk56_4(X2,X3,X4,X1))))
| X4 = vabs(esk48_4(X2,X3,X4,X1),esk49_4(X2,X3,X4,X1),esk50_4(X2,X3,X4,X1))
| X1 = vapp(vsubst(esk43_4(X2,X3,X4,X1),esk44_4(X2,X3,X4,X1),esk42_4(X2,X3,X4,X1)),vsubst(esk43_4(X2,X3,X4,X1),esk44_4(X2,X3,X4,X1),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_75]),
[final] ).
cnf(i_0_154,plain,
( X1 = vsubst(esk51_4(X2,X3,X4,X1),esk52_4(X2,X3,X4,X1),vabs(esk55_4(X2,X3,X4,X1),esk53_4(X2,X3,X4,X1),vsubst(esk54_4(X2,X3,X4,X1),vvar(esk55_4(X2,X3,X4,X1)),esk56_4(X2,X3,X4,X1))))
| esk47_4(X2,X3,X4,X1) = esk48_4(X2,X3,X4,X1)
| X1 = vapp(vsubst(esk43_4(X2,X3,X4,X1),esk44_4(X2,X3,X4,X1),esk42_4(X2,X3,X4,X1)),vsubst(esk43_4(X2,X3,X4,X1),esk44_4(X2,X3,X4,X1),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_75]),
[final] ).
cnf(i_0_155,plain,
( X1 = vsubst(esk51_4(X2,X3,X4,X1),esk52_4(X2,X3,X4,X1),vabs(esk55_4(X2,X3,X4,X1),esk53_4(X2,X3,X4,X1),vsubst(esk54_4(X2,X3,X4,X1),vvar(esk55_4(X2,X3,X4,X1)),esk56_4(X2,X3,X4,X1))))
| X2 = esk47_4(X2,X3,X4,X1)
| X1 = vapp(vsubst(esk43_4(X2,X3,X4,X1),esk44_4(X2,X3,X4,X1),esk42_4(X2,X3,X4,X1)),vsubst(esk43_4(X2,X3,X4,X1),esk44_4(X2,X3,X4,X1),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_75]),
[final] ).
cnf(i_0_156,plain,
( X1 = vsubst(esk51_4(X2,X3,X4,X1),esk52_4(X2,X3,X4,X1),vabs(esk55_4(X2,X3,X4,X1),esk53_4(X2,X3,X4,X1),vsubst(esk54_4(X2,X3,X4,X1),vvar(esk55_4(X2,X3,X4,X1)),esk56_4(X2,X3,X4,X1))))
| X3 = esk46_4(X2,X3,X4,X1)
| X1 = vapp(vsubst(esk43_4(X2,X3,X4,X1),esk44_4(X2,X3,X4,X1),esk42_4(X2,X3,X4,X1)),vsubst(esk43_4(X2,X3,X4,X1),esk44_4(X2,X3,X4,X1),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_75]),
[final] ).
cnf(i_0_157,plain,
( esk55_4(X1,X2,X3,X4) = vgensym(vapp(vapp(esk52_4(X1,X2,X3,X4),esk56_4(X1,X2,X3,X4)),vvar(esk51_4(X1,X2,X3,X4))))
| X3 = vabs(esk48_4(X1,X2,X3,X4),esk49_4(X1,X2,X3,X4),esk50_4(X1,X2,X3,X4))
| X4 = vapp(vsubst(esk43_4(X1,X2,X3,X4),esk44_4(X1,X2,X3,X4),esk42_4(X1,X2,X3,X4)),vsubst(esk43_4(X1,X2,X3,X4),esk44_4(X1,X2,X3,X4),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_75]),
[final] ).
cnf(i_0_158,plain,
( esk55_4(X1,X2,X3,X4) = vgensym(vapp(vapp(esk52_4(X1,X2,X3,X4),esk56_4(X1,X2,X3,X4)),vvar(esk51_4(X1,X2,X3,X4))))
| X4 = vabs(esk48_4(X1,X2,X3,X4),esk49_4(X1,X2,X3,X4),esk50_4(X1,X2,X3,X4))
| X4 = vapp(vsubst(esk43_4(X1,X2,X3,X4),esk44_4(X1,X2,X3,X4),esk42_4(X1,X2,X3,X4)),vsubst(esk43_4(X1,X2,X3,X4),esk44_4(X1,X2,X3,X4),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_75]),
[final] ).
cnf(i_0_159,plain,
( X1 = vsubst(esk51_4(X2,X3,X4,X1),esk52_4(X2,X3,X4,X1),vabs(esk55_4(X2,X3,X4,X1),esk53_4(X2,X3,X4,X1),vsubst(esk54_4(X2,X3,X4,X1),vvar(esk55_4(X2,X3,X4,X1)),esk56_4(X2,X3,X4,X1))))
| X1 = vabs(esk48_4(X2,X3,X4,X1),esk49_4(X2,X3,X4,X1),esk50_4(X2,X3,X4,X1))
| X4 = vapp(esk42_4(X2,X3,X4,X1),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_75]),
[final] ).
cnf(i_0_160,plain,
( X1 = vsubst(esk51_4(X2,X3,X4,X1),esk52_4(X2,X3,X4,X1),vabs(esk55_4(X2,X3,X4,X1),esk53_4(X2,X3,X4,X1),vsubst(esk54_4(X2,X3,X4,X1),vvar(esk55_4(X2,X3,X4,X1)),esk56_4(X2,X3,X4,X1))))
| X4 = vabs(esk48_4(X2,X3,X4,X1),esk49_4(X2,X3,X4,X1),esk50_4(X2,X3,X4,X1))
| X4 = vapp(esk42_4(X2,X3,X4,X1),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_75]),
[final] ).
cnf(i_0_161,plain,
( X1 = vsubst(esk51_4(X2,X3,X4,X1),esk52_4(X2,X3,X4,X1),vabs(esk55_4(X2,X3,X4,X1),esk53_4(X2,X3,X4,X1),vsubst(esk54_4(X2,X3,X4,X1),vvar(esk55_4(X2,X3,X4,X1)),esk56_4(X2,X3,X4,X1))))
| X1 = vabs(esk48_4(X2,X3,X4,X1),esk49_4(X2,X3,X4,X1),esk50_4(X2,X3,X4,X1))
| X2 = esk43_4(X2,X3,X4,X1)
| epred1_4(X1,X4,X3,X2)
| ~ epred2_4(X1,X4,X3,X2) ),
inference(split_conjunct,[status(thm)],[i_0_75]),
[final] ).
cnf(i_0_162,plain,
( X1 = vsubst(esk51_4(X2,X3,X4,X1),esk52_4(X2,X3,X4,X1),vabs(esk55_4(X2,X3,X4,X1),esk53_4(X2,X3,X4,X1),vsubst(esk54_4(X2,X3,X4,X1),vvar(esk55_4(X2,X3,X4,X1)),esk56_4(X2,X3,X4,X1))))
| X4 = vabs(esk48_4(X2,X3,X4,X1),esk49_4(X2,X3,X4,X1),esk50_4(X2,X3,X4,X1))
| X2 = esk43_4(X2,X3,X4,X1)
| epred1_4(X1,X4,X3,X2)
| ~ epred2_4(X1,X4,X3,X2) ),
inference(split_conjunct,[status(thm)],[i_0_75]),
[final] ).
cnf(i_0_163,plain,
( X1 = vsubst(esk51_4(X2,X3,X4,X1),esk52_4(X2,X3,X4,X1),vabs(esk55_4(X2,X3,X4,X1),esk53_4(X2,X3,X4,X1),vsubst(esk54_4(X2,X3,X4,X1),vvar(esk55_4(X2,X3,X4,X1)),esk56_4(X2,X3,X4,X1))))
| X1 = vabs(esk48_4(X2,X3,X4,X1),esk49_4(X2,X3,X4,X1),esk50_4(X2,X3,X4,X1))
| X3 = esk44_4(X2,X3,X4,X1)
| epred1_4(X1,X4,X3,X2)
| ~ epred2_4(X1,X4,X3,X2) ),
inference(split_conjunct,[status(thm)],[i_0_75]),
[final] ).
cnf(i_0_164,plain,
( X1 = vsubst(esk51_4(X2,X3,X4,X1),esk52_4(X2,X3,X4,X1),vabs(esk55_4(X2,X3,X4,X1),esk53_4(X2,X3,X4,X1),vsubst(esk54_4(X2,X3,X4,X1),vvar(esk55_4(X2,X3,X4,X1)),esk56_4(X2,X3,X4,X1))))
| X4 = vabs(esk48_4(X2,X3,X4,X1),esk49_4(X2,X3,X4,X1),esk50_4(X2,X3,X4,X1))
| X3 = esk44_4(X2,X3,X4,X1)
| epred1_4(X1,X4,X3,X2)
| ~ epred2_4(X1,X4,X3,X2) ),
inference(split_conjunct,[status(thm)],[i_0_75]),
[final] ).
cnf(i_0_165,plain,
( esk55_4(X1,X2,X3,X4) = vgensym(vapp(vapp(esk52_4(X1,X2,X3,X4),esk56_4(X1,X2,X3,X4)),vvar(esk51_4(X1,X2,X3,X4))))
| esk47_4(X1,X2,X3,X4) = esk48_4(X1,X2,X3,X4)
| X4 = vapp(vsubst(esk43_4(X1,X2,X3,X4),esk44_4(X1,X2,X3,X4),esk42_4(X1,X2,X3,X4)),vsubst(esk43_4(X1,X2,X3,X4),esk44_4(X1,X2,X3,X4),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_75]),
[final] ).
cnf(i_0_166,plain,
( X1 = vsubst(esk51_4(X2,X3,X4,X1),esk52_4(X2,X3,X4,X1),vabs(esk55_4(X2,X3,X4,X1),esk53_4(X2,X3,X4,X1),vsubst(esk54_4(X2,X3,X4,X1),vvar(esk55_4(X2,X3,X4,X1)),esk56_4(X2,X3,X4,X1))))
| esk47_4(X2,X3,X4,X1) = esk48_4(X2,X3,X4,X1)
| X4 = vapp(esk42_4(X2,X3,X4,X1),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_75]),
[final] ).
cnf(i_0_167,plain,
( esk55_4(X1,X2,X3,X4) = vgensym(vapp(vapp(esk52_4(X1,X2,X3,X4),esk56_4(X1,X2,X3,X4)),vvar(esk51_4(X1,X2,X3,X4))))
| X1 = esk47_4(X1,X2,X3,X4)
| X4 = vapp(vsubst(esk43_4(X1,X2,X3,X4),esk44_4(X1,X2,X3,X4),esk42_4(X1,X2,X3,X4)),vsubst(esk43_4(X1,X2,X3,X4),esk44_4(X1,X2,X3,X4),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_75]),
[final] ).
cnf(i_0_168,plain,
( esk55_4(X1,X2,X3,X4) = vgensym(vapp(vapp(esk52_4(X1,X2,X3,X4),esk56_4(X1,X2,X3,X4)),vvar(esk51_4(X1,X2,X3,X4))))
| X2 = esk46_4(X1,X2,X3,X4)
| X4 = vapp(vsubst(esk43_4(X1,X2,X3,X4),esk44_4(X1,X2,X3,X4),esk42_4(X1,X2,X3,X4)),vsubst(esk43_4(X1,X2,X3,X4),esk44_4(X1,X2,X3,X4),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_75]),
[final] ).
cnf(i_0_169,plain,
( X1 = vsubst(esk51_4(X2,X3,X4,X1),esk52_4(X2,X3,X4,X1),vabs(esk55_4(X2,X3,X4,X1),esk53_4(X2,X3,X4,X1),vsubst(esk54_4(X2,X3,X4,X1),vvar(esk55_4(X2,X3,X4,X1)),esk56_4(X2,X3,X4,X1))))
| X2 = esk47_4(X2,X3,X4,X1)
| X4 = vapp(esk42_4(X2,X3,X4,X1),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_75]),
[final] ).
cnf(i_0_170,plain,
( X1 = vsubst(esk51_4(X2,X3,X4,X1),esk52_4(X2,X3,X4,X1),vabs(esk55_4(X2,X3,X4,X1),esk53_4(X2,X3,X4,X1),vsubst(esk54_4(X2,X3,X4,X1),vvar(esk55_4(X2,X3,X4,X1)),esk56_4(X2,X3,X4,X1))))
| X3 = esk46_4(X2,X3,X4,X1)
| X4 = vapp(esk42_4(X2,X3,X4,X1),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_75]),
[final] ).
cnf(i_0_171,plain,
( X1 = vsubst(esk51_4(X2,X3,X4,X1),esk52_4(X2,X3,X4,X1),vabs(esk55_4(X2,X3,X4,X1),esk53_4(X2,X3,X4,X1),vsubst(esk54_4(X2,X3,X4,X1),vvar(esk55_4(X2,X3,X4,X1)),esk56_4(X2,X3,X4,X1))))
| esk47_4(X2,X3,X4,X1) = esk48_4(X2,X3,X4,X1)
| X2 = esk43_4(X2,X3,X4,X1)
| epred1_4(X1,X4,X3,X2)
| ~ epred2_4(X1,X4,X3,X2) ),
inference(split_conjunct,[status(thm)],[i_0_75]),
[final] ).
cnf(i_0_172,plain,
( X1 = vsubst(esk51_4(X2,X3,X4,X1),esk52_4(X2,X3,X4,X1),vabs(esk55_4(X2,X3,X4,X1),esk53_4(X2,X3,X4,X1),vsubst(esk54_4(X2,X3,X4,X1),vvar(esk55_4(X2,X3,X4,X1)),esk56_4(X2,X3,X4,X1))))
| esk47_4(X2,X3,X4,X1) = esk48_4(X2,X3,X4,X1)
| X3 = esk44_4(X2,X3,X4,X1)
| epred1_4(X1,X4,X3,X2)
| ~ epred2_4(X1,X4,X3,X2) ),
inference(split_conjunct,[status(thm)],[i_0_75]),
[final] ).
cnf(i_0_173,plain,
( X1 = vsubst(esk51_4(X2,X3,X4,X1),esk52_4(X2,X3,X4,X1),vabs(esk55_4(X2,X3,X4,X1),esk53_4(X2,X3,X4,X1),vsubst(esk54_4(X2,X3,X4,X1),vvar(esk55_4(X2,X3,X4,X1)),esk56_4(X2,X3,X4,X1))))
| X2 = esk47_4(X2,X3,X4,X1)
| X2 = esk43_4(X2,X3,X4,X1)
| epred1_4(X1,X4,X3,X2)
| ~ epred2_4(X1,X4,X3,X2) ),
inference(split_conjunct,[status(thm)],[i_0_75]),
[final] ).
cnf(i_0_174,plain,
( X1 = vsubst(esk51_4(X2,X3,X4,X1),esk52_4(X2,X3,X4,X1),vabs(esk55_4(X2,X3,X4,X1),esk53_4(X2,X3,X4,X1),vsubst(esk54_4(X2,X3,X4,X1),vvar(esk55_4(X2,X3,X4,X1)),esk56_4(X2,X3,X4,X1))))
| X3 = esk46_4(X2,X3,X4,X1)
| X2 = esk43_4(X2,X3,X4,X1)
| epred1_4(X1,X4,X3,X2)
| ~ epred2_4(X1,X4,X3,X2) ),
inference(split_conjunct,[status(thm)],[i_0_75]),
[final] ).
cnf(i_0_175,plain,
( X1 = vsubst(esk51_4(X2,X3,X4,X1),esk52_4(X2,X3,X4,X1),vabs(esk55_4(X2,X3,X4,X1),esk53_4(X2,X3,X4,X1),vsubst(esk54_4(X2,X3,X4,X1),vvar(esk55_4(X2,X3,X4,X1)),esk56_4(X2,X3,X4,X1))))
| X2 = esk47_4(X2,X3,X4,X1)
| X3 = esk44_4(X2,X3,X4,X1)
| epred1_4(X1,X4,X3,X2)
| ~ epred2_4(X1,X4,X3,X2) ),
inference(split_conjunct,[status(thm)],[i_0_75]),
[final] ).
cnf(i_0_176,plain,
( X1 = vsubst(esk51_4(X2,X3,X4,X1),esk52_4(X2,X3,X4,X1),vabs(esk55_4(X2,X3,X4,X1),esk53_4(X2,X3,X4,X1),vsubst(esk54_4(X2,X3,X4,X1),vvar(esk55_4(X2,X3,X4,X1)),esk56_4(X2,X3,X4,X1))))
| X3 = esk46_4(X2,X3,X4,X1)
| X3 = esk44_4(X2,X3,X4,X1)
| epred1_4(X1,X4,X3,X2)
| ~ epred2_4(X1,X4,X3,X2) ),
inference(split_conjunct,[status(thm)],[i_0_75]),
[final] ).
cnf(i_0_177,plain,
( X1 = vabs(esk54_4(X2,X3,X1,X4),esk53_4(X2,X3,X1,X4),esk56_4(X2,X3,X1,X4))
| X1 = vabs(esk48_4(X2,X3,X1,X4),esk49_4(X2,X3,X1,X4),esk50_4(X2,X3,X1,X4))
| X4 = vapp(vsubst(esk43_4(X2,X3,X1,X4),esk44_4(X2,X3,X1,X4),esk42_4(X2,X3,X1,X4)),vsubst(esk43_4(X2,X3,X1,X4),esk44_4(X2,X3,X1,X4),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_75]),
[final] ).
cnf(i_0_178,plain,
( X1 = vabs(esk54_4(X2,X3,X1,X4),esk53_4(X2,X3,X1,X4),esk56_4(X2,X3,X1,X4))
| X4 = vabs(esk48_4(X2,X3,X1,X4),esk49_4(X2,X3,X1,X4),esk50_4(X2,X3,X1,X4))
| X4 = vapp(vsubst(esk43_4(X2,X3,X1,X4),esk44_4(X2,X3,X1,X4),esk42_4(X2,X3,X1,X4)),vsubst(esk43_4(X2,X3,X1,X4),esk44_4(X2,X3,X1,X4),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_75]),
[final] ).
cnf(i_0_179,plain,
( esk55_4(X1,X2,X3,X4) = vgensym(vapp(vapp(esk52_4(X1,X2,X3,X4),esk56_4(X1,X2,X3,X4)),vvar(esk51_4(X1,X2,X3,X4))))
| X3 = vabs(esk48_4(X1,X2,X3,X4),esk49_4(X1,X2,X3,X4),esk50_4(X1,X2,X3,X4))
| X3 = vapp(esk42_4(X1,X2,X3,X4),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_75]),
[final] ).
cnf(i_0_180,plain,
( esk55_4(X1,X2,X3,X4) = vgensym(vapp(vapp(esk52_4(X1,X2,X3,X4),esk56_4(X1,X2,X3,X4)),vvar(esk51_4(X1,X2,X3,X4))))
| X4 = vabs(esk48_4(X1,X2,X3,X4),esk49_4(X1,X2,X3,X4),esk50_4(X1,X2,X3,X4))
| X3 = vapp(esk42_4(X1,X2,X3,X4),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_75]),
[final] ).
cnf(i_0_181,plain,
( visFreeVar(esk54_4(X1,X2,X3,X4),esk52_4(X1,X2,X3,X4))
| X3 = vabs(esk48_4(X1,X2,X3,X4),esk49_4(X1,X2,X3,X4),esk50_4(X1,X2,X3,X4))
| X4 = vapp(vsubst(esk43_4(X1,X2,X3,X4),esk44_4(X1,X2,X3,X4),esk42_4(X1,X2,X3,X4)),vsubst(esk43_4(X1,X2,X3,X4),esk44_4(X1,X2,X3,X4),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_75]),
[final] ).
cnf(i_0_182,plain,
( visFreeVar(esk54_4(X1,X2,X3,X4),esk52_4(X1,X2,X3,X4))
| X4 = vabs(esk48_4(X1,X2,X3,X4),esk49_4(X1,X2,X3,X4),esk50_4(X1,X2,X3,X4))
| X4 = vapp(vsubst(esk43_4(X1,X2,X3,X4),esk44_4(X1,X2,X3,X4),esk42_4(X1,X2,X3,X4)),vsubst(esk43_4(X1,X2,X3,X4),esk44_4(X1,X2,X3,X4),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_75]),
[final] ).
cnf(i_0_183,plain,
( X3 = vabs(esk48_4(X1,X2,X3,X4),esk49_4(X1,X2,X3,X4),esk50_4(X1,X2,X3,X4))
| X4 = vapp(vsubst(esk43_4(X1,X2,X3,X4),esk44_4(X1,X2,X3,X4),esk42_4(X1,X2,X3,X4)),vsubst(esk43_4(X1,X2,X3,X4),esk44_4(X1,X2,X3,X4),esk45_4(X1,X2,X3,X4)))
| epred1_4(X4,X3,X2,X1)
| esk51_4(X1,X2,X3,X4) != esk54_4(X1,X2,X3,X4)
| ~ epred2_4(X4,X3,X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_75]),
[final] ).
cnf(i_0_184,plain,
( X4 = vabs(esk48_4(X1,X2,X3,X4),esk49_4(X1,X2,X3,X4),esk50_4(X1,X2,X3,X4))
| X4 = vapp(vsubst(esk43_4(X1,X2,X3,X4),esk44_4(X1,X2,X3,X4),esk42_4(X1,X2,X3,X4)),vsubst(esk43_4(X1,X2,X3,X4),esk44_4(X1,X2,X3,X4),esk45_4(X1,X2,X3,X4)))
| epred1_4(X4,X3,X2,X1)
| esk51_4(X1,X2,X3,X4) != esk54_4(X1,X2,X3,X4)
| ~ epred2_4(X4,X3,X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_75]),
[final] ).
cnf(i_0_185,plain,
( X1 = vabs(esk54_4(X2,X3,X1,X4),esk53_4(X2,X3,X1,X4),esk56_4(X2,X3,X1,X4))
| esk47_4(X2,X3,X1,X4) = esk48_4(X2,X3,X1,X4)
| X4 = vapp(vsubst(esk43_4(X2,X3,X1,X4),esk44_4(X2,X3,X1,X4),esk42_4(X2,X3,X1,X4)),vsubst(esk43_4(X2,X3,X1,X4),esk44_4(X2,X3,X1,X4),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_75]),
[final] ).
cnf(i_0_186,plain,
( esk55_4(X1,X2,X3,X4) = vgensym(vapp(vapp(esk52_4(X1,X2,X3,X4),esk56_4(X1,X2,X3,X4)),vvar(esk51_4(X1,X2,X3,X4))))
| X3 = vabs(esk48_4(X1,X2,X3,X4),esk49_4(X1,X2,X3,X4),esk50_4(X1,X2,X3,X4))
| X1 = esk43_4(X1,X2,X3,X4)
| epred1_4(X4,X3,X2,X1)
| ~ epred2_4(X4,X3,X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_75]),
[final] ).
cnf(i_0_187,plain,
( esk55_4(X1,X2,X3,X4) = vgensym(vapp(vapp(esk52_4(X1,X2,X3,X4),esk56_4(X1,X2,X3,X4)),vvar(esk51_4(X1,X2,X3,X4))))
| X4 = vabs(esk48_4(X1,X2,X3,X4),esk49_4(X1,X2,X3,X4),esk50_4(X1,X2,X3,X4))
| X1 = esk43_4(X1,X2,X3,X4)
| epred1_4(X4,X3,X2,X1)
| ~ epred2_4(X4,X3,X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_75]),
[final] ).
cnf(i_0_188,plain,
( esk55_4(X1,X2,X3,X4) = vgensym(vapp(vapp(esk52_4(X1,X2,X3,X4),esk56_4(X1,X2,X3,X4)),vvar(esk51_4(X1,X2,X3,X4))))
| X3 = vabs(esk48_4(X1,X2,X3,X4),esk49_4(X1,X2,X3,X4),esk50_4(X1,X2,X3,X4))
| X2 = esk44_4(X1,X2,X3,X4)
| epred1_4(X4,X3,X2,X1)
| ~ epred2_4(X4,X3,X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_75]),
[final] ).
cnf(i_0_189,plain,
( esk55_4(X1,X2,X3,X4) = vgensym(vapp(vapp(esk52_4(X1,X2,X3,X4),esk56_4(X1,X2,X3,X4)),vvar(esk51_4(X1,X2,X3,X4))))
| X4 = vabs(esk48_4(X1,X2,X3,X4),esk49_4(X1,X2,X3,X4),esk50_4(X1,X2,X3,X4))
| X2 = esk44_4(X1,X2,X3,X4)
| epred1_4(X4,X3,X2,X1)
| ~ epred2_4(X4,X3,X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_75]),
[final] ).
cnf(i_0_190,plain,
( X1 = esk52_4(X2,X1,X3,X4)
| X3 = vabs(esk48_4(X2,X1,X3,X4),esk49_4(X2,X1,X3,X4),esk50_4(X2,X1,X3,X4))
| X4 = vapp(vsubst(esk43_4(X2,X1,X3,X4),esk44_4(X2,X1,X3,X4),esk42_4(X2,X1,X3,X4)),vsubst(esk43_4(X2,X1,X3,X4),esk44_4(X2,X1,X3,X4),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_75]),
[final] ).
cnf(i_0_191,plain,
( X1 = esk52_4(X2,X1,X3,X4)
| X4 = vabs(esk48_4(X2,X1,X3,X4),esk49_4(X2,X1,X3,X4),esk50_4(X2,X1,X3,X4))
| X4 = vapp(vsubst(esk43_4(X2,X1,X3,X4),esk44_4(X2,X1,X3,X4),esk42_4(X2,X1,X3,X4)),vsubst(esk43_4(X2,X1,X3,X4),esk44_4(X2,X1,X3,X4),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_75]),
[final] ).
cnf(i_0_192,plain,
( X1 = esk51_4(X1,X2,X3,X4)
| X3 = vabs(esk48_4(X1,X2,X3,X4),esk49_4(X1,X2,X3,X4),esk50_4(X1,X2,X3,X4))
| X4 = vapp(vsubst(esk43_4(X1,X2,X3,X4),esk44_4(X1,X2,X3,X4),esk42_4(X1,X2,X3,X4)),vsubst(esk43_4(X1,X2,X3,X4),esk44_4(X1,X2,X3,X4),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_75]),
[final] ).
cnf(i_0_193,plain,
( X1 = esk51_4(X1,X2,X3,X4)
| X4 = vabs(esk48_4(X1,X2,X3,X4),esk49_4(X1,X2,X3,X4),esk50_4(X1,X2,X3,X4))
| X4 = vapp(vsubst(esk43_4(X1,X2,X3,X4),esk44_4(X1,X2,X3,X4),esk42_4(X1,X2,X3,X4)),vsubst(esk43_4(X1,X2,X3,X4),esk44_4(X1,X2,X3,X4),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_75]),
[final] ).
cnf(i_0_194,plain,
( X1 = vabs(esk54_4(X2,X3,X1,X4),esk53_4(X2,X3,X1,X4),esk56_4(X2,X3,X1,X4))
| X2 = esk47_4(X2,X3,X1,X4)
| X4 = vapp(vsubst(esk43_4(X2,X3,X1,X4),esk44_4(X2,X3,X1,X4),esk42_4(X2,X3,X1,X4)),vsubst(esk43_4(X2,X3,X1,X4),esk44_4(X2,X3,X1,X4),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_75]),
[final] ).
cnf(i_0_195,plain,
( X1 = vabs(esk54_4(X2,X3,X1,X4),esk53_4(X2,X3,X1,X4),esk56_4(X2,X3,X1,X4))
| X3 = esk46_4(X2,X3,X1,X4)
| X4 = vapp(vsubst(esk43_4(X2,X3,X1,X4),esk44_4(X2,X3,X1,X4),esk42_4(X2,X3,X1,X4)),vsubst(esk43_4(X2,X3,X1,X4),esk44_4(X2,X3,X1,X4),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_75]),
[final] ).
cnf(i_0_196,plain,
( esk55_4(X1,X2,X3,X4) = vgensym(vapp(vapp(esk52_4(X1,X2,X3,X4),esk56_4(X1,X2,X3,X4)),vvar(esk51_4(X1,X2,X3,X4))))
| esk47_4(X1,X2,X3,X4) = esk48_4(X1,X2,X3,X4)
| X3 = vapp(esk42_4(X1,X2,X3,X4),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_75]),
[final] ).
cnf(i_0_197,plain,
( visFreeVar(esk54_4(X1,X2,X3,X4),esk52_4(X1,X2,X3,X4))
| esk47_4(X1,X2,X3,X4) = esk48_4(X1,X2,X3,X4)
| X4 = vapp(vsubst(esk43_4(X1,X2,X3,X4),esk44_4(X1,X2,X3,X4),esk42_4(X1,X2,X3,X4)),vsubst(esk43_4(X1,X2,X3,X4),esk44_4(X1,X2,X3,X4),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_75]),
[final] ).
cnf(i_0_198,plain,
( esk55_4(X1,X2,X3,X4) = vgensym(vapp(vapp(esk52_4(X1,X2,X3,X4),esk56_4(X1,X2,X3,X4)),vvar(esk51_4(X1,X2,X3,X4))))
| X1 = esk47_4(X1,X2,X3,X4)
| X3 = vapp(esk42_4(X1,X2,X3,X4),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_75]),
[final] ).
cnf(i_0_199,plain,
( esk55_4(X1,X2,X3,X4) = vgensym(vapp(vapp(esk52_4(X1,X2,X3,X4),esk56_4(X1,X2,X3,X4)),vvar(esk51_4(X1,X2,X3,X4))))
| X2 = esk46_4(X1,X2,X3,X4)
| X3 = vapp(esk42_4(X1,X2,X3,X4),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_75]),
[final] ).
cnf(i_0_200,plain,
( esk47_4(X1,X2,X3,X4) = esk48_4(X1,X2,X3,X4)
| X4 = vapp(vsubst(esk43_4(X1,X2,X3,X4),esk44_4(X1,X2,X3,X4),esk42_4(X1,X2,X3,X4)),vsubst(esk43_4(X1,X2,X3,X4),esk44_4(X1,X2,X3,X4),esk45_4(X1,X2,X3,X4)))
| epred1_4(X4,X3,X2,X1)
| esk51_4(X1,X2,X3,X4) != esk54_4(X1,X2,X3,X4)
| ~ epred2_4(X4,X3,X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_75]),
[final] ).
cnf(i_0_201,plain,
( visFreeVar(esk54_4(X1,X2,X3,X4),esk52_4(X1,X2,X3,X4))
| X1 = esk47_4(X1,X2,X3,X4)
| X4 = vapp(vsubst(esk43_4(X1,X2,X3,X4),esk44_4(X1,X2,X3,X4),esk42_4(X1,X2,X3,X4)),vsubst(esk43_4(X1,X2,X3,X4),esk44_4(X1,X2,X3,X4),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_75]),
[final] ).
cnf(i_0_202,plain,
( visFreeVar(esk54_4(X1,X2,X3,X4),esk52_4(X1,X2,X3,X4))
| X2 = esk46_4(X1,X2,X3,X4)
| X4 = vapp(vsubst(esk43_4(X1,X2,X3,X4),esk44_4(X1,X2,X3,X4),esk42_4(X1,X2,X3,X4)),vsubst(esk43_4(X1,X2,X3,X4),esk44_4(X1,X2,X3,X4),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_75]),
[final] ).
cnf(i_0_203,plain,
( X1 = esk47_4(X1,X2,X3,X4)
| X4 = vapp(vsubst(esk43_4(X1,X2,X3,X4),esk44_4(X1,X2,X3,X4),esk42_4(X1,X2,X3,X4)),vsubst(esk43_4(X1,X2,X3,X4),esk44_4(X1,X2,X3,X4),esk45_4(X1,X2,X3,X4)))
| epred1_4(X4,X3,X2,X1)
| esk51_4(X1,X2,X3,X4) != esk54_4(X1,X2,X3,X4)
| ~ epred2_4(X4,X3,X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_75]),
[final] ).
cnf(i_0_204,plain,
( X2 = esk46_4(X1,X2,X3,X4)
| X4 = vapp(vsubst(esk43_4(X1,X2,X3,X4),esk44_4(X1,X2,X3,X4),esk42_4(X1,X2,X3,X4)),vsubst(esk43_4(X1,X2,X3,X4),esk44_4(X1,X2,X3,X4),esk45_4(X1,X2,X3,X4)))
| epred1_4(X4,X3,X2,X1)
| esk51_4(X1,X2,X3,X4) != esk54_4(X1,X2,X3,X4)
| ~ epred2_4(X4,X3,X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_75]),
[final] ).
cnf(i_0_205,plain,
( esk55_4(X1,X2,X3,X4) = vgensym(vapp(vapp(esk52_4(X1,X2,X3,X4),esk56_4(X1,X2,X3,X4)),vvar(esk51_4(X1,X2,X3,X4))))
| esk47_4(X1,X2,X3,X4) = esk48_4(X1,X2,X3,X4)
| X1 = esk43_4(X1,X2,X3,X4)
| epred1_4(X4,X3,X2,X1)
| ~ epred2_4(X4,X3,X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_75]),
[final] ).
cnf(i_0_206,plain,
( esk55_4(X1,X2,X3,X4) = vgensym(vapp(vapp(esk52_4(X1,X2,X3,X4),esk56_4(X1,X2,X3,X4)),vvar(esk51_4(X1,X2,X3,X4))))
| esk47_4(X1,X2,X3,X4) = esk48_4(X1,X2,X3,X4)
| X2 = esk44_4(X1,X2,X3,X4)
| epred1_4(X4,X3,X2,X1)
| ~ epred2_4(X4,X3,X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_75]),
[final] ).
cnf(i_0_207,plain,
( X1 = esk52_4(X2,X1,X3,X4)
| esk47_4(X2,X1,X3,X4) = esk48_4(X2,X1,X3,X4)
| X4 = vapp(vsubst(esk43_4(X2,X1,X3,X4),esk44_4(X2,X1,X3,X4),esk42_4(X2,X1,X3,X4)),vsubst(esk43_4(X2,X1,X3,X4),esk44_4(X2,X1,X3,X4),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_75]),
[final] ).
cnf(i_0_208,plain,
( X1 = esk51_4(X1,X2,X3,X4)
| esk47_4(X1,X2,X3,X4) = esk48_4(X1,X2,X3,X4)
| X4 = vapp(vsubst(esk43_4(X1,X2,X3,X4),esk44_4(X1,X2,X3,X4),esk42_4(X1,X2,X3,X4)),vsubst(esk43_4(X1,X2,X3,X4),esk44_4(X1,X2,X3,X4),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_75]),
[final] ).
cnf(i_0_209,plain,
( esk55_4(X1,X2,X3,X4) = vgensym(vapp(vapp(esk52_4(X1,X2,X3,X4),esk56_4(X1,X2,X3,X4)),vvar(esk51_4(X1,X2,X3,X4))))
| X1 = esk47_4(X1,X2,X3,X4)
| X1 = esk43_4(X1,X2,X3,X4)
| epred1_4(X4,X3,X2,X1)
| ~ epred2_4(X4,X3,X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_75]),
[final] ).
cnf(i_0_210,plain,
( esk55_4(X1,X2,X3,X4) = vgensym(vapp(vapp(esk52_4(X1,X2,X3,X4),esk56_4(X1,X2,X3,X4)),vvar(esk51_4(X1,X2,X3,X4))))
| X2 = esk46_4(X1,X2,X3,X4)
| X1 = esk43_4(X1,X2,X3,X4)
| epred1_4(X4,X3,X2,X1)
| ~ epred2_4(X4,X3,X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_75]),
[final] ).
cnf(i_0_211,plain,
( esk55_4(X1,X2,X3,X4) = vgensym(vapp(vapp(esk52_4(X1,X2,X3,X4),esk56_4(X1,X2,X3,X4)),vvar(esk51_4(X1,X2,X3,X4))))
| X1 = esk47_4(X1,X2,X3,X4)
| X2 = esk44_4(X1,X2,X3,X4)
| epred1_4(X4,X3,X2,X1)
| ~ epred2_4(X4,X3,X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_75]),
[final] ).
cnf(i_0_212,plain,
( esk55_4(X1,X2,X3,X4) = vgensym(vapp(vapp(esk52_4(X1,X2,X3,X4),esk56_4(X1,X2,X3,X4)),vvar(esk51_4(X1,X2,X3,X4))))
| X2 = esk46_4(X1,X2,X3,X4)
| X2 = esk44_4(X1,X2,X3,X4)
| epred1_4(X4,X3,X2,X1)
| ~ epred2_4(X4,X3,X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_75]),
[final] ).
cnf(i_0_213,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_76]),
[final] ).
cnf(i_0_214,plain,
( X1 = esk51_4(X1,X2,X3,X4)
| X1 = esk47_4(X1,X2,X3,X4)
| X4 = vapp(vsubst(esk43_4(X1,X2,X3,X4),esk44_4(X1,X2,X3,X4),esk42_4(X1,X2,X3,X4)),vsubst(esk43_4(X1,X2,X3,X4),esk44_4(X1,X2,X3,X4),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_75]),
[final] ).
cnf(i_0_215,plain,
( X1 = esk52_4(X2,X1,X3,X4)
| X1 = esk46_4(X2,X1,X3,X4)
| X4 = vapp(vsubst(esk43_4(X2,X1,X3,X4),esk44_4(X2,X1,X3,X4),esk42_4(X2,X1,X3,X4)),vsubst(esk43_4(X2,X1,X3,X4),esk44_4(X2,X1,X3,X4),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_75]),
[final] ).
cnf(i_0_216,plain,
( X1 = esk52_4(X2,X1,X3,X4)
| X2 = esk47_4(X2,X1,X3,X4)
| X4 = vapp(vsubst(esk43_4(X2,X1,X3,X4),esk44_4(X2,X1,X3,X4),esk42_4(X2,X1,X3,X4)),vsubst(esk43_4(X2,X1,X3,X4),esk44_4(X2,X1,X3,X4),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_75]),
[final] ).
cnf(i_0_217,plain,
( X1 = esk51_4(X1,X2,X3,X4)
| X2 = esk46_4(X1,X2,X3,X4)
| X4 = vapp(vsubst(esk43_4(X1,X2,X3,X4),esk44_4(X1,X2,X3,X4),esk42_4(X1,X2,X3,X4)),vsubst(esk43_4(X1,X2,X3,X4),esk44_4(X1,X2,X3,X4),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_75]),
[final] ).
cnf(i_0_218,plain,
( X1 = vabs(esk54_4(X2,X3,X1,X4),esk53_4(X2,X3,X1,X4),esk56_4(X2,X3,X1,X4))
| X1 = vabs(esk48_4(X2,X3,X1,X4),esk49_4(X2,X3,X1,X4),esk50_4(X2,X3,X1,X4))
| X1 = vapp(esk42_4(X2,X3,X1,X4),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_75]),
[final] ).
cnf(i_0_219,plain,
( X1 = vabs(esk54_4(X2,X3,X1,X4),esk53_4(X2,X3,X1,X4),esk56_4(X2,X3,X1,X4))
| X4 = vabs(esk48_4(X2,X3,X1,X4),esk49_4(X2,X3,X1,X4),esk50_4(X2,X3,X1,X4))
| X1 = vapp(esk42_4(X2,X3,X1,X4),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_75]),
[final] ).
cnf(i_0_220,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_77]),
[final] ).
cnf(i_0_221,plain,
( visFreeVar(esk54_4(X1,X2,X3,X4),esk52_4(X1,X2,X3,X4))
| X3 = vabs(esk48_4(X1,X2,X3,X4),esk49_4(X1,X2,X3,X4),esk50_4(X1,X2,X3,X4))
| X3 = vapp(esk42_4(X1,X2,X3,X4),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_75]),
[final] ).
cnf(i_0_222,plain,
( visFreeVar(esk54_4(X1,X2,X3,X4),esk52_4(X1,X2,X3,X4))
| X4 = vabs(esk48_4(X1,X2,X3,X4),esk49_4(X1,X2,X3,X4),esk50_4(X1,X2,X3,X4))
| X3 = vapp(esk42_4(X1,X2,X3,X4),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_75]),
[final] ).
cnf(i_0_223,plain,
( X1 = vabs(esk54_4(X2,X3,X1,X4),esk53_4(X2,X3,X1,X4),esk56_4(X2,X3,X1,X4))
| X1 = vabs(esk48_4(X2,X3,X1,X4),esk49_4(X2,X3,X1,X4),esk50_4(X2,X3,X1,X4))
| X2 = esk43_4(X2,X3,X1,X4)
| epred1_4(X4,X1,X3,X2)
| ~ epred2_4(X4,X1,X3,X2) ),
inference(split_conjunct,[status(thm)],[i_0_75]),
[final] ).
cnf(i_0_224,plain,
( X1 = vabs(esk54_4(X2,X3,X1,X4),esk53_4(X2,X3,X1,X4),esk56_4(X2,X3,X1,X4))
| X4 = vabs(esk48_4(X2,X3,X1,X4),esk49_4(X2,X3,X1,X4),esk50_4(X2,X3,X1,X4))
| X2 = esk43_4(X2,X3,X1,X4)
| epred1_4(X4,X1,X3,X2)
| ~ epred2_4(X4,X1,X3,X2) ),
inference(split_conjunct,[status(thm)],[i_0_75]),
[final] ).
cnf(i_0_225,plain,
( X1 = vabs(esk54_4(X2,X3,X1,X4),esk53_4(X2,X3,X1,X4),esk56_4(X2,X3,X1,X4))
| X1 = vabs(esk48_4(X2,X3,X1,X4),esk49_4(X2,X3,X1,X4),esk50_4(X2,X3,X1,X4))
| X3 = esk44_4(X2,X3,X1,X4)
| epred1_4(X4,X1,X3,X2)
| ~ epred2_4(X4,X1,X3,X2) ),
inference(split_conjunct,[status(thm)],[i_0_75]),
[final] ).
cnf(i_0_226,plain,
( X1 = vabs(esk54_4(X2,X3,X1,X4),esk53_4(X2,X3,X1,X4),esk56_4(X2,X3,X1,X4))
| X4 = vabs(esk48_4(X2,X3,X1,X4),esk49_4(X2,X3,X1,X4),esk50_4(X2,X3,X1,X4))
| X3 = esk44_4(X2,X3,X1,X4)
| epred1_4(X4,X1,X3,X2)
| ~ epred2_4(X4,X1,X3,X2) ),
inference(split_conjunct,[status(thm)],[i_0_75]),
[final] ).
cnf(i_0_227,plain,
( X3 = vabs(esk48_4(X1,X2,X3,X4),esk49_4(X1,X2,X3,X4),esk50_4(X1,X2,X3,X4))
| X3 = vapp(esk42_4(X1,X2,X3,X4),esk45_4(X1,X2,X3,X4))
| epred1_4(X4,X3,X2,X1)
| esk51_4(X1,X2,X3,X4) != esk54_4(X1,X2,X3,X4)
| ~ epred2_4(X4,X3,X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_75]),
[final] ).
cnf(i_0_228,plain,
( X4 = vabs(esk48_4(X1,X2,X3,X4),esk49_4(X1,X2,X3,X4),esk50_4(X1,X2,X3,X4))
| X3 = vapp(esk42_4(X1,X2,X3,X4),esk45_4(X1,X2,X3,X4))
| epred1_4(X4,X3,X2,X1)
| esk51_4(X1,X2,X3,X4) != esk54_4(X1,X2,X3,X4)
| ~ epred2_4(X4,X3,X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_75]),
[final] ).
cnf(i_0_229,plain,
( X1 = vabs(esk54_4(X2,X3,X1,X4),esk53_4(X2,X3,X1,X4),esk56_4(X2,X3,X1,X4))
| esk47_4(X2,X3,X1,X4) = esk48_4(X2,X3,X1,X4)
| X1 = vapp(esk42_4(X2,X3,X1,X4),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_75]),
[final] ).
cnf(i_0_230,plain,
( X1 = esk52_4(X2,X1,X3,X4)
| X3 = vabs(esk48_4(X2,X1,X3,X4),esk49_4(X2,X1,X3,X4),esk50_4(X2,X1,X3,X4))
| X3 = vapp(esk42_4(X2,X1,X3,X4),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_75]),
[final] ).
cnf(i_0_231,plain,
( X1 = esk52_4(X2,X1,X3,X4)
| X4 = vabs(esk48_4(X2,X1,X3,X4),esk49_4(X2,X1,X3,X4),esk50_4(X2,X1,X3,X4))
| X3 = vapp(esk42_4(X2,X1,X3,X4),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_75]),
[final] ).
cnf(i_0_232,plain,
( X1 = esk51_4(X1,X2,X3,X4)
| X3 = vabs(esk48_4(X1,X2,X3,X4),esk49_4(X1,X2,X3,X4),esk50_4(X1,X2,X3,X4))
| X3 = vapp(esk42_4(X1,X2,X3,X4),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_75]),
[final] ).
cnf(i_0_233,plain,
( X1 = esk51_4(X1,X2,X3,X4)
| X4 = vabs(esk48_4(X1,X2,X3,X4),esk49_4(X1,X2,X3,X4),esk50_4(X1,X2,X3,X4))
| X3 = vapp(esk42_4(X1,X2,X3,X4),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_75]),
[final] ).
cnf(i_0_234,plain,
( X1 = vabs(esk54_4(X2,X3,X1,X4),esk53_4(X2,X3,X1,X4),esk56_4(X2,X3,X1,X4))
| X2 = esk47_4(X2,X3,X1,X4)
| X1 = vapp(esk42_4(X2,X3,X1,X4),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_75]),
[final] ).
cnf(i_0_235,plain,
( X1 = vabs(esk54_4(X2,X3,X1,X4),esk53_4(X2,X3,X1,X4),esk56_4(X2,X3,X1,X4))
| X3 = esk46_4(X2,X3,X1,X4)
| X1 = vapp(esk42_4(X2,X3,X1,X4),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_75]),
[final] ).
cnf(i_0_236,plain,
( visFreeVar(esk54_4(X1,X2,X3,X4),esk52_4(X1,X2,X3,X4))
| X3 = vabs(esk48_4(X1,X2,X3,X4),esk49_4(X1,X2,X3,X4),esk50_4(X1,X2,X3,X4))
| X1 = esk43_4(X1,X2,X3,X4)
| epred1_4(X4,X3,X2,X1)
| ~ epred2_4(X4,X3,X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_75]),
[final] ).
cnf(i_0_237,plain,
( visFreeVar(esk54_4(X1,X2,X3,X4),esk52_4(X1,X2,X3,X4))
| X4 = vabs(esk48_4(X1,X2,X3,X4),esk49_4(X1,X2,X3,X4),esk50_4(X1,X2,X3,X4))
| X1 = esk43_4(X1,X2,X3,X4)
| epred1_4(X4,X3,X2,X1)
| ~ epred2_4(X4,X3,X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_75]),
[final] ).
cnf(i_0_238,plain,
( visFreeVar(esk54_4(X1,X2,X3,X4),esk52_4(X1,X2,X3,X4))
| X3 = vabs(esk48_4(X1,X2,X3,X4),esk49_4(X1,X2,X3,X4),esk50_4(X1,X2,X3,X4))
| X2 = esk44_4(X1,X2,X3,X4)
| epred1_4(X4,X3,X2,X1)
| ~ epred2_4(X4,X3,X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_75]),
[final] ).
cnf(i_0_239,plain,
( visFreeVar(esk54_4(X1,X2,X3,X4),esk52_4(X1,X2,X3,X4))
| X4 = vabs(esk48_4(X1,X2,X3,X4),esk49_4(X1,X2,X3,X4),esk50_4(X1,X2,X3,X4))
| X2 = esk44_4(X1,X2,X3,X4)
| epred1_4(X4,X3,X2,X1)
| ~ epred2_4(X4,X3,X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_75]),
[final] ).
cnf(i_0_240,plain,
( X3 = vabs(esk48_4(X1,X2,X3,X4),esk49_4(X1,X2,X3,X4),esk50_4(X1,X2,X3,X4))
| X1 = esk43_4(X1,X2,X3,X4)
| epred1_4(X4,X3,X2,X1)
| esk51_4(X1,X2,X3,X4) != esk54_4(X1,X2,X3,X4)
| ~ epred2_4(X4,X3,X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_75]),
[final] ).
cnf(i_0_241,plain,
( X4 = vabs(esk48_4(X1,X2,X3,X4),esk49_4(X1,X2,X3,X4),esk50_4(X1,X2,X3,X4))
| X1 = esk43_4(X1,X2,X3,X4)
| epred1_4(X4,X3,X2,X1)
| esk51_4(X1,X2,X3,X4) != esk54_4(X1,X2,X3,X4)
| ~ epred2_4(X4,X3,X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_75]),
[final] ).
cnf(i_0_242,plain,
( X3 = vabs(esk48_4(X1,X2,X3,X4),esk49_4(X1,X2,X3,X4),esk50_4(X1,X2,X3,X4))
| X2 = esk44_4(X1,X2,X3,X4)
| epred1_4(X4,X3,X2,X1)
| esk51_4(X1,X2,X3,X4) != esk54_4(X1,X2,X3,X4)
| ~ epred2_4(X4,X3,X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_75]),
[final] ).
cnf(i_0_243,plain,
( X4 = vabs(esk48_4(X1,X2,X3,X4),esk49_4(X1,X2,X3,X4),esk50_4(X1,X2,X3,X4))
| X2 = esk44_4(X1,X2,X3,X4)
| epred1_4(X4,X3,X2,X1)
| esk51_4(X1,X2,X3,X4) != esk54_4(X1,X2,X3,X4)
| ~ epred2_4(X4,X3,X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_75]),
[final] ).
cnf(i_0_244,plain,
( visFreeVar(esk54_4(X1,X2,X3,X4),esk52_4(X1,X2,X3,X4))
| esk47_4(X1,X2,X3,X4) = esk48_4(X1,X2,X3,X4)
| X3 = vapp(esk42_4(X1,X2,X3,X4),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_75]),
[final] ).
cnf(i_0_245,plain,
( X1 = vabs(esk54_4(X2,X3,X1,X4),esk53_4(X2,X3,X1,X4),esk56_4(X2,X3,X1,X4))
| esk47_4(X2,X3,X1,X4) = esk48_4(X2,X3,X1,X4)
| X2 = esk43_4(X2,X3,X1,X4)
| epred1_4(X4,X1,X3,X2)
| ~ epred2_4(X4,X1,X3,X2) ),
inference(split_conjunct,[status(thm)],[i_0_75]),
[final] ).
cnf(i_0_246,plain,
( X1 = vabs(esk54_4(X2,X3,X1,X4),esk53_4(X2,X3,X1,X4),esk56_4(X2,X3,X1,X4))
| esk47_4(X2,X3,X1,X4) = esk48_4(X2,X3,X1,X4)
| X3 = esk44_4(X2,X3,X1,X4)
| epred1_4(X4,X1,X3,X2)
| ~ epred2_4(X4,X1,X3,X2) ),
inference(split_conjunct,[status(thm)],[i_0_75]),
[final] ).
cnf(i_0_247,plain,
( esk47_4(X1,X2,X3,X4) = esk48_4(X1,X2,X3,X4)
| X3 = vapp(esk42_4(X1,X2,X3,X4),esk45_4(X1,X2,X3,X4))
| epred1_4(X4,X3,X2,X1)
| esk51_4(X1,X2,X3,X4) != esk54_4(X1,X2,X3,X4)
| ~ epred2_4(X4,X3,X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_75]),
[final] ).
cnf(i_0_248,plain,
( visFreeVar(esk54_4(X1,X2,X3,X4),esk52_4(X1,X2,X3,X4))
| X1 = esk47_4(X1,X2,X3,X4)
| X3 = vapp(esk42_4(X1,X2,X3,X4),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_75]),
[final] ).
cnf(i_0_249,plain,
( visFreeVar(esk54_4(X1,X2,X3,X4),esk52_4(X1,X2,X3,X4))
| X2 = esk46_4(X1,X2,X3,X4)
| X3 = vapp(esk42_4(X1,X2,X3,X4),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_75]),
[final] ).
cnf(i_0_250,plain,
( X1 = esk52_4(X2,X1,X3,X4)
| X3 = vabs(esk48_4(X2,X1,X3,X4),esk49_4(X2,X1,X3,X4),esk50_4(X2,X1,X3,X4))
| X1 = esk44_4(X2,X1,X3,X4)
| epred1_4(X4,X3,X1,X2)
| ~ epred2_4(X4,X3,X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_75]),
[final] ).
cnf(i_0_251,plain,
( X1 = esk52_4(X2,X1,X3,X4)
| X4 = vabs(esk48_4(X2,X1,X3,X4),esk49_4(X2,X1,X3,X4),esk50_4(X2,X1,X3,X4))
| X1 = esk44_4(X2,X1,X3,X4)
| epred1_4(X4,X3,X1,X2)
| ~ epred2_4(X4,X3,X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_75]),
[final] ).
cnf(i_0_252,plain,
( X1 = esk51_4(X1,X2,X3,X4)
| X3 = vabs(esk48_4(X1,X2,X3,X4),esk49_4(X1,X2,X3,X4),esk50_4(X1,X2,X3,X4))
| X1 = esk43_4(X1,X2,X3,X4)
| epred1_4(X4,X3,X2,X1)
| ~ epred2_4(X4,X3,X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_75]),
[final] ).
cnf(i_0_253,plain,
( X1 = esk51_4(X1,X2,X3,X4)
| X4 = vabs(esk48_4(X1,X2,X3,X4),esk49_4(X1,X2,X3,X4),esk50_4(X1,X2,X3,X4))
| X1 = esk43_4(X1,X2,X3,X4)
| epred1_4(X4,X3,X2,X1)
| ~ epred2_4(X4,X3,X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_75]),
[final] ).
cnf(i_0_254,plain,
( X1 = esk51_4(X1,X2,X3,X4)
| X3 = vabs(esk48_4(X1,X2,X3,X4),esk49_4(X1,X2,X3,X4),esk50_4(X1,X2,X3,X4))
| X2 = esk44_4(X1,X2,X3,X4)
| epred1_4(X4,X3,X2,X1)
| ~ epred2_4(X4,X3,X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_75]),
[final] ).
cnf(i_0_255,plain,
( X1 = esk51_4(X1,X2,X3,X4)
| X4 = vabs(esk48_4(X1,X2,X3,X4),esk49_4(X1,X2,X3,X4),esk50_4(X1,X2,X3,X4))
| X2 = esk44_4(X1,X2,X3,X4)
| epred1_4(X4,X3,X2,X1)
| ~ epred2_4(X4,X3,X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_75]),
[final] ).
cnf(i_0_256,plain,
( X1 = esk52_4(X2,X1,X3,X4)
| X3 = vabs(esk48_4(X2,X1,X3,X4),esk49_4(X2,X1,X3,X4),esk50_4(X2,X1,X3,X4))
| X2 = esk43_4(X2,X1,X3,X4)
| epred1_4(X4,X3,X1,X2)
| ~ epred2_4(X4,X3,X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_75]),
[final] ).
cnf(i_0_257,plain,
( X1 = esk52_4(X2,X1,X3,X4)
| X4 = vabs(esk48_4(X2,X1,X3,X4),esk49_4(X2,X1,X3,X4),esk50_4(X2,X1,X3,X4))
| X2 = esk43_4(X2,X1,X3,X4)
| epred1_4(X4,X3,X1,X2)
| ~ epred2_4(X4,X3,X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_75]),
[final] ).
cnf(i_0_258,plain,
( X1 = vabs(esk54_4(X2,X3,X1,X4),esk53_4(X2,X3,X1,X4),esk56_4(X2,X3,X1,X4))
| X2 = esk47_4(X2,X3,X1,X4)
| X2 = esk43_4(X2,X3,X1,X4)
| epred1_4(X4,X1,X3,X2)
| ~ epred2_4(X4,X1,X3,X2) ),
inference(split_conjunct,[status(thm)],[i_0_75]),
[final] ).
cnf(i_0_259,plain,
( X1 = vabs(esk54_4(X2,X3,X1,X4),esk53_4(X2,X3,X1,X4),esk56_4(X2,X3,X1,X4))
| X3 = esk46_4(X2,X3,X1,X4)
| X2 = esk43_4(X2,X3,X1,X4)
| epred1_4(X4,X1,X3,X2)
| ~ epred2_4(X4,X1,X3,X2) ),
inference(split_conjunct,[status(thm)],[i_0_75]),
[final] ).
cnf(i_0_260,plain,
( X1 = vabs(esk54_4(X2,X3,X1,X4),esk53_4(X2,X3,X1,X4),esk56_4(X2,X3,X1,X4))
| X2 = esk47_4(X2,X3,X1,X4)
| X3 = esk44_4(X2,X3,X1,X4)
| epred1_4(X4,X1,X3,X2)
| ~ epred2_4(X4,X1,X3,X2) ),
inference(split_conjunct,[status(thm)],[i_0_75]),
[final] ).
cnf(i_0_261,plain,
( X1 = vabs(esk54_4(X2,X3,X1,X4),esk53_4(X2,X3,X1,X4),esk56_4(X2,X3,X1,X4))
| X3 = esk46_4(X2,X3,X1,X4)
| X3 = esk44_4(X2,X3,X1,X4)
| epred1_4(X4,X1,X3,X2)
| ~ epred2_4(X4,X1,X3,X2) ),
inference(split_conjunct,[status(thm)],[i_0_75]),
[final] ).
cnf(i_0_262,plain,
( X1 = esk47_4(X1,X2,X3,X4)
| X3 = vapp(esk42_4(X1,X2,X3,X4),esk45_4(X1,X2,X3,X4))
| epred1_4(X4,X3,X2,X1)
| esk51_4(X1,X2,X3,X4) != esk54_4(X1,X2,X3,X4)
| ~ epred2_4(X4,X3,X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_75]),
[final] ).
cnf(i_0_263,plain,
( X2 = esk46_4(X1,X2,X3,X4)
| X3 = vapp(esk42_4(X1,X2,X3,X4),esk45_4(X1,X2,X3,X4))
| epred1_4(X4,X3,X2,X1)
| esk51_4(X1,X2,X3,X4) != esk54_4(X1,X2,X3,X4)
| ~ epred2_4(X4,X3,X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_75]),
[final] ).
cnf(i_0_264,plain,
( X1 = esk52_4(X2,X1,X3,X4)
| esk47_4(X2,X1,X3,X4) = esk48_4(X2,X1,X3,X4)
| X3 = vapp(esk42_4(X2,X1,X3,X4),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_75]),
[final] ).
cnf(i_0_265,plain,
( X1 = esk51_4(X1,X2,X3,X4)
| esk47_4(X1,X2,X3,X4) = esk48_4(X1,X2,X3,X4)
| X3 = vapp(esk42_4(X1,X2,X3,X4),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_75]),
[final] ).
cnf(i_0_266,plain,
( visFreeVar(esk54_4(X1,X2,X3,X4),esk52_4(X1,X2,X3,X4))
| esk47_4(X1,X2,X3,X4) = esk48_4(X1,X2,X3,X4)
| X1 = esk43_4(X1,X2,X3,X4)
| epred1_4(X4,X3,X2,X1)
| ~ epred2_4(X4,X3,X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_75]),
[final] ).
cnf(i_0_267,plain,
( visFreeVar(esk54_4(X1,X2,X3,X4),esk52_4(X1,X2,X3,X4))
| esk47_4(X1,X2,X3,X4) = esk48_4(X1,X2,X3,X4)
| X2 = esk44_4(X1,X2,X3,X4)
| epred1_4(X4,X3,X2,X1)
| ~ epred2_4(X4,X3,X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_75]),
[final] ).
cnf(i_0_268,plain,
( esk47_4(X1,X2,X3,X4) = esk48_4(X1,X2,X3,X4)
| X1 = esk43_4(X1,X2,X3,X4)
| epred1_4(X4,X3,X2,X1)
| esk51_4(X1,X2,X3,X4) != esk54_4(X1,X2,X3,X4)
| ~ epred2_4(X4,X3,X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_75]),
[final] ).
cnf(i_0_269,plain,
( esk47_4(X1,X2,X3,X4) = esk48_4(X1,X2,X3,X4)
| X2 = esk44_4(X1,X2,X3,X4)
| epred1_4(X4,X3,X2,X1)
| esk51_4(X1,X2,X3,X4) != esk54_4(X1,X2,X3,X4)
| ~ epred2_4(X4,X3,X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_75]),
[final] ).
cnf(i_0_270,plain,
( X1 = esk51_4(X1,X2,X3,X4)
| X1 = esk47_4(X1,X2,X3,X4)
| X3 = vapp(esk42_4(X1,X2,X3,X4),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_75]),
[final] ).
cnf(i_0_271,plain,
( X1 = esk52_4(X2,X1,X3,X4)
| X1 = esk46_4(X2,X1,X3,X4)
| X3 = vapp(esk42_4(X2,X1,X3,X4),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_75]),
[final] ).
cnf(i_0_272,plain,
( X1 = esk52_4(X2,X1,X3,X4)
| X2 = esk47_4(X2,X1,X3,X4)
| X3 = vapp(esk42_4(X2,X1,X3,X4),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_75]),
[final] ).
cnf(i_0_273,plain,
( X1 = esk51_4(X1,X2,X3,X4)
| X2 = esk46_4(X1,X2,X3,X4)
| X3 = vapp(esk42_4(X1,X2,X3,X4),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_75]),
[final] ).
cnf(i_0_274,plain,
( visFreeVar(esk54_4(X1,X2,X3,X4),esk52_4(X1,X2,X3,X4))
| X1 = esk47_4(X1,X2,X3,X4)
| X1 = esk43_4(X1,X2,X3,X4)
| epred1_4(X4,X3,X2,X1)
| ~ epred2_4(X4,X3,X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_75]),
[final] ).
cnf(i_0_275,plain,
( visFreeVar(esk54_4(X1,X2,X3,X4),esk52_4(X1,X2,X3,X4))
| X2 = esk46_4(X1,X2,X3,X4)
| X1 = esk43_4(X1,X2,X3,X4)
| epred1_4(X4,X3,X2,X1)
| ~ epred2_4(X4,X3,X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_75]),
[final] ).
cnf(i_0_276,plain,
( visFreeVar(esk54_4(X1,X2,X3,X4),esk52_4(X1,X2,X3,X4))
| X1 = esk47_4(X1,X2,X3,X4)
| X2 = esk44_4(X1,X2,X3,X4)
| epred1_4(X4,X3,X2,X1)
| ~ epred2_4(X4,X3,X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_75]),
[final] ).
cnf(i_0_277,plain,
( visFreeVar(esk54_4(X1,X2,X3,X4),esk52_4(X1,X2,X3,X4))
| X2 = esk46_4(X1,X2,X3,X4)
| X2 = esk44_4(X1,X2,X3,X4)
| epred1_4(X4,X3,X2,X1)
| ~ epred2_4(X4,X3,X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_75]),
[final] ).
cnf(i_0_278,plain,
( X1 = esk47_4(X1,X2,X3,X4)
| X1 = esk43_4(X1,X2,X3,X4)
| epred1_4(X4,X3,X2,X1)
| esk51_4(X1,X2,X3,X4) != esk54_4(X1,X2,X3,X4)
| ~ epred2_4(X4,X3,X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_75]),
[final] ).
cnf(i_0_279,plain,
( X2 = esk46_4(X1,X2,X3,X4)
| X1 = esk43_4(X1,X2,X3,X4)
| epred1_4(X4,X3,X2,X1)
| esk51_4(X1,X2,X3,X4) != esk54_4(X1,X2,X3,X4)
| ~ epred2_4(X4,X3,X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_75]),
[final] ).
cnf(i_0_280,plain,
( X1 = esk47_4(X1,X2,X3,X4)
| X2 = esk44_4(X1,X2,X3,X4)
| epred1_4(X4,X3,X2,X1)
| esk51_4(X1,X2,X3,X4) != esk54_4(X1,X2,X3,X4)
| ~ epred2_4(X4,X3,X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_75]),
[final] ).
cnf(i_0_281,plain,
( X2 = esk46_4(X1,X2,X3,X4)
| X2 = esk44_4(X1,X2,X3,X4)
| epred1_4(X4,X3,X2,X1)
| esk51_4(X1,X2,X3,X4) != esk54_4(X1,X2,X3,X4)
| ~ epred2_4(X4,X3,X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_75]),
[final] ).
cnf(i_0_282,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_77]),
[final] ).
cnf(i_0_283,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_77]),
[final] ).
cnf(i_0_284,plain,
( X3 = vvar(esk37_4(X1,X2,X3,X4))
| esk40_4(X1,X2,X3,X4) != esk41_4(X1,X2,X3,X4)
| ~ epred1_4(X4,X3,X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_78]),
[final] ).
cnf(i_0_285,plain,
( esk36_4(X1,X2,X3,X4) = esk37_4(X1,X2,X3,X4)
| esk40_4(X1,X2,X3,X4) != esk41_4(X1,X2,X3,X4)
| ~ epred1_4(X4,X3,X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_78]),
[final] ).
cnf(i_0_286,plain,
( X1 = esk52_4(X2,X1,X3,X4)
| esk47_4(X2,X1,X3,X4) = esk48_4(X2,X1,X3,X4)
| X1 = esk44_4(X2,X1,X3,X4)
| epred1_4(X4,X3,X1,X2)
| ~ epred2_4(X4,X3,X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_75]),
[final] ).
cnf(i_0_287,plain,
( X1 = esk51_4(X1,X2,X3,X4)
| esk47_4(X1,X2,X3,X4) = esk48_4(X1,X2,X3,X4)
| X1 = esk43_4(X1,X2,X3,X4)
| epred1_4(X4,X3,X2,X1)
| ~ epred2_4(X4,X3,X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_75]),
[final] ).
cnf(i_0_288,plain,
( X1 = esk51_4(X1,X2,X3,X4)
| esk47_4(X1,X2,X3,X4) = esk48_4(X1,X2,X3,X4)
| X2 = esk44_4(X1,X2,X3,X4)
| epred1_4(X4,X3,X2,X1)
| ~ epred2_4(X4,X3,X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_75]),
[final] ).
cnf(i_0_289,plain,
( X1 = esk52_4(X2,X1,X3,X4)
| esk47_4(X2,X1,X3,X4) = esk48_4(X2,X1,X3,X4)
| X2 = esk43_4(X2,X1,X3,X4)
| epred1_4(X4,X3,X1,X2)
| ~ epred2_4(X4,X3,X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_75]),
[final] ).
cnf(i_0_290,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_79]),
[final] ).
cnf(i_0_291,plain,
( X1 = esk36_4(X1,X2,X3,X4)
| esk40_4(X1,X2,X3,X4) != esk41_4(X1,X2,X3,X4)
| ~ epred1_4(X4,X3,X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_78]),
[final] ).
cnf(i_0_292,plain,
( X2 = esk38_4(X1,X2,X3,X4)
| esk40_4(X1,X2,X3,X4) != esk41_4(X1,X2,X3,X4)
| ~ epred1_4(X4,X3,X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_78]),
[final] ).
cnf(i_0_293,plain,
( X4 = esk38_4(X1,X2,X3,X4)
| esk40_4(X1,X2,X3,X4) != esk41_4(X1,X2,X3,X4)
| ~ epred1_4(X4,X3,X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_78]),
[final] ).
cnf(i_0_294,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_80]),
[final] ).
cnf(i_0_295,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_80]),
[final] ).
cnf(i_0_296,plain,
( X1 = vvar(esk41_4(X2,X3,X1,X4))
| X1 = vvar(esk37_4(X2,X3,X1,X4))
| ~ epred1_4(X4,X1,X3,X2) ),
inference(split_conjunct,[status(thm)],[i_0_78]),
[final] ).
cnf(i_0_297,plain,
( X1 = vvar(esk41_4(X2,X3,X4,X1))
| X4 = vvar(esk37_4(X2,X3,X4,X1))
| ~ epred1_4(X1,X4,X3,X2) ),
inference(split_conjunct,[status(thm)],[i_0_78]),
[final] ).
cnf(i_0_298,plain,
( X1 = esk52_4(X2,X1,X3,X4)
| X1 = esk46_4(X2,X1,X3,X4)
| X1 = esk44_4(X2,X1,X3,X4)
| epred1_4(X4,X3,X1,X2)
| ~ epred2_4(X4,X3,X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_75]),
[final] ).
cnf(i_0_299,plain,
( X1 = esk51_4(X1,X2,X3,X4)
| X1 = esk47_4(X1,X2,X3,X4)
| X1 = esk43_4(X1,X2,X3,X4)
| epred1_4(X4,X3,X2,X1)
| ~ epred2_4(X4,X3,X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_75]),
[final] ).
cnf(i_0_300,plain,
( X1 = esk52_4(X2,X1,X3,X4)
| X2 = esk47_4(X2,X1,X3,X4)
| X1 = esk44_4(X2,X1,X3,X4)
| epred1_4(X4,X3,X1,X2)
| ~ epred2_4(X4,X3,X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_75]),
[final] ).
cnf(i_0_301,plain,
( X1 = esk51_4(X1,X2,X3,X4)
| X2 = esk46_4(X1,X2,X3,X4)
| X1 = esk43_4(X1,X2,X3,X4)
| epred1_4(X4,X3,X2,X1)
| ~ epred2_4(X4,X3,X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_75]),
[final] ).
cnf(i_0_302,plain,
( X1 = esk51_4(X1,X2,X3,X4)
| X1 = esk47_4(X1,X2,X3,X4)
| X2 = esk44_4(X1,X2,X3,X4)
| epred1_4(X4,X3,X2,X1)
| ~ epred2_4(X4,X3,X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_75]),
[final] ).
cnf(i_0_303,plain,
( X1 = esk51_4(X1,X2,X3,X4)
| X2 = esk46_4(X1,X2,X3,X4)
| X2 = esk44_4(X1,X2,X3,X4)
| epred1_4(X4,X3,X2,X1)
| ~ epred2_4(X4,X3,X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_75]),
[final] ).
cnf(i_0_304,plain,
( X1 = esk52_4(X2,X1,X3,X4)
| X1 = esk46_4(X2,X1,X3,X4)
| X2 = esk43_4(X2,X1,X3,X4)
| epred1_4(X4,X3,X1,X2)
| ~ epred2_4(X4,X3,X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_75]),
[final] ).
cnf(i_0_305,plain,
( X1 = esk52_4(X2,X1,X3,X4)
| X2 = esk47_4(X2,X1,X3,X4)
| X2 = esk43_4(X2,X1,X3,X4)
| epred1_4(X4,X3,X1,X2)
| ~ epred2_4(X4,X3,X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_75]),
[final] ).
cnf(i_0_306,plain,
( X1 = vvar(esk41_4(X2,X3,X1,X4))
| esk36_4(X2,X3,X1,X4) = esk37_4(X2,X3,X1,X4)
| ~ epred1_4(X4,X1,X3,X2) ),
inference(split_conjunct,[status(thm)],[i_0_78]),
[final] ).
cnf(i_0_307,plain,
( X1 = vvar(esk41_4(X2,X3,X4,X1))
| esk36_4(X2,X3,X4,X1) = esk37_4(X2,X3,X4,X1)
| ~ epred1_4(X1,X4,X3,X2) ),
inference(split_conjunct,[status(thm)],[i_0_78]),
[final] ).
cnf(i_0_308,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_80]),
[final] ).
cnf(i_0_309,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_80]),
[final] ).
cnf(i_0_310,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_80]),
[final] ).
cnf(i_0_311,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_80]),
[final] ).
cnf(i_0_312,plain,
( X1 = vapp(vabs(esk68_2(X1,X2),esk66_2(X1,X2),esk70_2(X1,X2)),esk69_2(X1,X2))
| X2 = vsomeExp(vapp(vabs(esk62_2(X1,X2),esk63_2(X1,X2),esk64_2(X1,X2)),vgetSomeExp(esk65_2(X1,X2))))
| X1 = vabs(esk58_2(X1,X2),esk59_2(X1,X2),esk60_2(X1,X2))
| X1 = vvar(esk57_2(X1,X2))
| ~ epred3_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_63]),
[final] ).
cnf(i_0_313,plain,
( X1 = esk40_4(X1,X2,X3,X4)
| X3 = vvar(esk37_4(X1,X2,X3,X4))
| ~ epred1_4(X4,X3,X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_78]),
[final] ).
cnf(i_0_314,plain,
( X1 = esk39_4(X2,X1,X3,X4)
| X3 = vvar(esk37_4(X2,X1,X3,X4))
| ~ epred1_4(X4,X3,X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_78]),
[final] ).
cnf(i_0_315,plain,
( X1 = vvar(esk41_4(X2,X3,X4,X1))
| X1 = esk38_4(X2,X3,X4,X1)
| ~ epred1_4(X1,X4,X3,X2) ),
inference(split_conjunct,[status(thm)],[i_0_78]),
[final] ).
cnf(i_0_316,plain,
( X1 = vvar(esk41_4(X2,X3,X1,X4))
| X2 = esk36_4(X2,X3,X1,X4)
| ~ epred1_4(X4,X1,X3,X2) ),
inference(split_conjunct,[status(thm)],[i_0_78]),
[final] ).
cnf(i_0_317,plain,
( X1 = vvar(esk41_4(X2,X3,X4,X1))
| X2 = esk36_4(X2,X3,X4,X1)
| ~ epred1_4(X1,X4,X3,X2) ),
inference(split_conjunct,[status(thm)],[i_0_78]),
[final] ).
cnf(i_0_318,plain,
( X1 = vvar(esk41_4(X2,X3,X1,X4))
| X3 = esk38_4(X2,X3,X1,X4)
| ~ epred1_4(X4,X1,X3,X2) ),
inference(split_conjunct,[status(thm)],[i_0_78]),
[final] ).
cnf(i_0_319,plain,
( X1 = vvar(esk41_4(X2,X3,X4,X1))
| X3 = esk38_4(X2,X3,X4,X1)
| ~ epred1_4(X1,X4,X3,X2) ),
inference(split_conjunct,[status(thm)],[i_0_78]),
[final] ).
cnf(i_0_320,plain,
( X1 = vvar(esk41_4(X2,X3,X1,X4))
| X4 = esk38_4(X2,X3,X1,X4)
| ~ epred1_4(X4,X1,X3,X2) ),
inference(split_conjunct,[status(thm)],[i_0_78]),
[final] ).
cnf(i_0_321,plain,
( X1 = vapp(vabs(esk68_2(X1,X2),esk66_2(X1,X2),esk70_2(X1,X2)),esk69_2(X1,X2))
| X2 = vsomeExp(vapp(vabs(esk62_2(X1,X2),esk63_2(X1,X2),esk64_2(X1,X2)),vgetSomeExp(esk65_2(X1,X2))))
| X1 = vabs(esk58_2(X1,X2),esk59_2(X1,X2),esk60_2(X1,X2))
| X2 = vnoExp
| ~ epred3_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_63]),
[final] ).
cnf(i_0_322,plain,
( X1 = esk40_4(X1,X2,X3,X4)
| esk36_4(X1,X2,X3,X4) = esk37_4(X1,X2,X3,X4)
| ~ epred1_4(X4,X3,X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_78]),
[final] ).
cnf(i_0_323,plain,
( X1 = esk39_4(X2,X1,X3,X4)
| esk36_4(X2,X1,X3,X4) = esk37_4(X2,X1,X3,X4)
| ~ epred1_4(X4,X3,X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_78]),
[final] ).
cnf(i_0_324,plain,
( X1 = vsomeExp(vsubst(esk68_2(X2,X1),esk69_2(X2,X1),esk70_2(X2,X1)))
| X1 = vsomeExp(vapp(vabs(esk62_2(X2,X1),esk63_2(X2,X1),esk64_2(X2,X1)),vgetSomeExp(esk65_2(X2,X1))))
| X2 = vabs(esk58_2(X2,X1),esk59_2(X2,X1),esk60_2(X2,X1))
| X2 = vvar(esk57_2(X2,X1))
| ~ epred3_2(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_63]),
[final] ).
cnf(i_0_325,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_77]),
[final] ).
cnf(i_0_326,plain,
( X1 = vsomeExp(vsubst(esk68_2(X2,X1),esk69_2(X2,X1),esk70_2(X2,X1)))
| X1 = vsomeExp(vapp(vabs(esk62_2(X2,X1),esk63_2(X2,X1),esk64_2(X2,X1)),vgetSomeExp(esk65_2(X2,X1))))
| X2 = vabs(esk58_2(X2,X1),esk59_2(X2,X1),esk60_2(X2,X1))
| X1 = vnoExp
| ~ epred3_2(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_63]),
[final] ).
cnf(i_0_327,plain,
( X1 = vapp(vabs(esk68_2(X1,X2),esk66_2(X1,X2),esk70_2(X1,X2)),esk69_2(X1,X2))
| X2 = vsomeExp(vapp(vabs(esk62_2(X1,X2),esk63_2(X1,X2),esk64_2(X1,X2)),vgetSomeExp(esk65_2(X1,X2))))
| X2 = vnoExp
| X1 = vvar(esk57_2(X1,X2))
| ~ epred3_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_63]),
[final] ).
cnf(i_0_328,plain,
( X2 = vnoExp
| X1 = vapp(vabs(esk68_2(X1,X2),esk66_2(X1,X2),esk70_2(X1,X2)),esk69_2(X1,X2))
| X2 = vsomeExp(vapp(vabs(esk62_2(X1,X2),esk63_2(X1,X2),esk64_2(X1,X2)),vgetSomeExp(esk65_2(X1,X2))))
| ~ epred3_2(X2,X1) ),
inference(cn,[status(thm)],[i_0_81]),
[final] ).
cnf(i_0_329,plain,
( X1 = vsomeExp(vsubst(esk68_2(X2,X1),esk69_2(X2,X1),esk70_2(X2,X1)))
| X1 = vsomeExp(vapp(vabs(esk62_2(X2,X1),esk63_2(X2,X1),esk64_2(X2,X1)),vgetSomeExp(esk65_2(X2,X1))))
| X1 = vnoExp
| X2 = vvar(esk57_2(X2,X1))
| ~ epred3_2(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_63]),
[final] ).
cnf(i_0_330,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_80]),
[final] ).
cnf(i_0_331,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_80]),
[final] ).
cnf(i_0_332,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_82]),
[final] ).
cnf(i_0_333,plain,
( X1 = vnoExp
| X1 = vsomeExp(vsubst(esk68_2(X2,X1),esk69_2(X2,X1),esk70_2(X2,X1)))
| X1 = vsomeExp(vapp(vabs(esk62_2(X2,X1),esk63_2(X2,X1),esk64_2(X2,X1)),vgetSomeExp(esk65_2(X2,X1))))
| ~ epred3_2(X1,X2) ),
inference(cn,[status(thm)],[i_0_83]),
[final] ).
cnf(i_0_334,plain,
( X2 = vsomeExp(vapp(vabs(esk62_2(X1,X2),esk63_2(X1,X2),esk64_2(X1,X2)),vgetSomeExp(esk65_2(X1,X2))))
| X1 = vabs(esk58_2(X1,X2),esk59_2(X1,X2),esk60_2(X1,X2))
| X1 = vvar(esk57_2(X1,X2))
| ~ visSomeExp(esk67_2(X1,X2))
| ~ epred3_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_63]),
[final] ).
cnf(i_0_335,plain,
( esk67_2(X1,X2) = vreduce(esk69_2(X1,X2))
| X2 = vsomeExp(vapp(vabs(esk62_2(X1,X2),esk63_2(X1,X2),esk64_2(X1,X2)),vgetSomeExp(esk65_2(X1,X2))))
| X1 = vabs(esk58_2(X1,X2),esk59_2(X1,X2),esk60_2(X1,X2))
| X1 = vvar(esk57_2(X1,X2))
| ~ epred3_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_63]),
[final] ).
cnf(i_0_336,plain,
( visValue(esk69_2(X1,X2))
| X2 = vsomeExp(vapp(vabs(esk62_2(X1,X2),esk63_2(X1,X2),esk64_2(X1,X2)),vgetSomeExp(esk65_2(X1,X2))))
| X1 = vabs(esk58_2(X1,X2),esk59_2(X1,X2),esk60_2(X1,X2))
| X1 = vvar(esk57_2(X1,X2))
| ~ epred3_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_63]),
[final] ).
cnf(i_0_337,plain,
( X1 = esk39_4(X2,X1,X3,X4)
| X1 = esk38_4(X2,X1,X3,X4)
| ~ epred1_4(X4,X3,X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_78]),
[final] ).
cnf(i_0_338,plain,
( X1 = esk40_4(X1,X2,X3,X4)
| X1 = esk36_4(X1,X2,X3,X4)
| ~ epred1_4(X4,X3,X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_78]),
[final] ).
cnf(i_0_339,plain,
( X1 = esk40_4(X1,X2,X3,X4)
| X2 = esk38_4(X1,X2,X3,X4)
| ~ epred1_4(X4,X3,X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_78]),
[final] ).
cnf(i_0_340,plain,
( X1 = esk39_4(X2,X1,X3,X4)
| X2 = esk36_4(X2,X1,X3,X4)
| ~ epred1_4(X4,X3,X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_78]),
[final] ).
cnf(i_0_341,plain,
( X1 = esk40_4(X1,X2,X3,X4)
| X4 = esk38_4(X1,X2,X3,X4)
| ~ epred1_4(X4,X3,X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_78]),
[final] ).
cnf(i_0_342,plain,
( X1 = esk39_4(X2,X1,X3,X4)
| X4 = esk38_4(X2,X1,X3,X4)
| ~ epred1_4(X4,X3,X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_78]),
[final] ).
cnf(i_0_343,plain,
( X2 = vsomeExp(vapp(vabs(esk62_2(X1,X2),esk63_2(X1,X2),esk64_2(X1,X2)),vgetSomeExp(esk65_2(X1,X2))))
| X1 = vabs(esk58_2(X1,X2),esk59_2(X1,X2),esk60_2(X1,X2))
| X2 = vnoExp
| ~ visSomeExp(esk67_2(X1,X2))
| ~ epred3_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_63]),
[final] ).
cnf(i_0_344,plain,
( esk67_2(X1,X2) = vreduce(esk69_2(X1,X2))
| X2 = vsomeExp(vapp(vabs(esk62_2(X1,X2),esk63_2(X1,X2),esk64_2(X1,X2)),vgetSomeExp(esk65_2(X1,X2))))
| X1 = vabs(esk58_2(X1,X2),esk59_2(X1,X2),esk60_2(X1,X2))
| X2 = vnoExp
| ~ epred3_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_63]),
[final] ).
cnf(i_0_345,plain,
( visValue(esk69_2(X1,X2))
| X2 = vsomeExp(vapp(vabs(esk62_2(X1,X2),esk63_2(X1,X2),esk64_2(X1,X2)),vgetSomeExp(esk65_2(X1,X2))))
| X1 = vabs(esk58_2(X1,X2),esk59_2(X1,X2),esk60_2(X1,X2))
| X2 = vnoExp
| ~ epred3_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_63]),
[final] ).
cnf(i_0_346,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_80]),
[final] ).
cnf(i_0_347,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_80]),
[final] ).
cnf(i_0_348,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_80]),
[final] ).
cnf(i_0_349,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_84]),
[final] ).
cnf(i_0_350,plain,
( vtcheck(X1,esk29_3(X2,X3,X1),varrow(esk31_3(X2,X3,X1),X3))
| X3 = varrow(esk27_3(X2,X3,X1),esk28_3(X2,X3,X1))
| X2 = vvar(esk24_3(X2,X3,X1))
| ~ vtcheck(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[i_0_80]),
[final] ).
cnf(i_0_351,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_80]),
[final] ).
cnf(i_0_352,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_80]),
[final] ).
cnf(i_0_353,plain,
( X1 = vapp(vabs(esk68_2(X1,X2),esk66_2(X1,X2),esk70_2(X1,X2)),esk69_2(X1,X2))
| X1 = vapp(vabs(esk62_2(X1,X2),esk63_2(X1,X2),esk64_2(X1,X2)),esk61_2(X1,X2))
| X1 = vabs(esk58_2(X1,X2),esk59_2(X1,X2),esk60_2(X1,X2))
| X1 = vvar(esk57_2(X1,X2))
| ~ epred3_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_63]),
[final] ).
cnf(i_0_354,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_84]),
[final] ).
cnf(i_0_355,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_84]),
[final] ).
cnf(i_0_356,plain,
( X2 = vsomeExp(vapp(vabs(esk62_2(X1,X2),esk63_2(X1,X2),esk64_2(X1,X2)),vgetSomeExp(esk65_2(X1,X2))))
| X2 = vnoExp
| X1 = vvar(esk57_2(X1,X2))
| ~ visSomeExp(esk67_2(X1,X2))
| ~ epred3_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_63]),
[final] ).
cnf(i_0_357,plain,
( esk67_2(X1,X2) = vreduce(esk69_2(X1,X2))
| X2 = vsomeExp(vapp(vabs(esk62_2(X1,X2),esk63_2(X1,X2),esk64_2(X1,X2)),vgetSomeExp(esk65_2(X1,X2))))
| X2 = vnoExp
| X1 = vvar(esk57_2(X1,X2))
| ~ epred3_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_63]),
[final] ).
cnf(i_0_358,plain,
( X1 = vapp(vabs(esk68_2(X1,X2),esk66_2(X1,X2),esk70_2(X1,X2)),esk69_2(X1,X2))
| X1 = vapp(vabs(esk62_2(X1,X2),esk63_2(X1,X2),esk64_2(X1,X2)),esk61_2(X1,X2))
| X1 = vabs(esk58_2(X1,X2),esk59_2(X1,X2),esk60_2(X1,X2))
| X2 = vnoExp
| ~ epred3_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_63]),
[final] ).
cnf(i_0_359,plain,
( X1 = vsomeExp(vsubst(esk68_2(X2,X1),esk69_2(X2,X1),esk70_2(X2,X1)))
| X2 = vapp(vabs(esk62_2(X2,X1),esk63_2(X2,X1),esk64_2(X2,X1)),esk61_2(X2,X1))
| X2 = vabs(esk58_2(X2,X1),esk59_2(X2,X1),esk60_2(X2,X1))
| X2 = vvar(esk57_2(X2,X1))
| ~ epred3_2(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_63]),
[final] ).
cnf(i_0_360,plain,
( visValue(esk69_2(X1,X2))
| X2 = vsomeExp(vapp(vabs(esk62_2(X1,X2),esk63_2(X1,X2),esk64_2(X1,X2)),vgetSomeExp(esk65_2(X1,X2))))
| X2 = vnoExp
| X1 = vvar(esk57_2(X1,X2))
| ~ epred3_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_63]),
[final] ).
cnf(i_0_361,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_85]),
[final] ).
cnf(i_0_362,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_86]),
[final] ).
cnf(i_0_363,plain,
( X2 = vnoExp
| X2 = vsomeExp(vapp(vabs(esk62_2(X1,X2),esk63_2(X1,X2),esk64_2(X1,X2)),vgetSomeExp(esk65_2(X1,X2))))
| ~ epred3_2(X2,X1)
| ~ visSomeExp(esk67_2(X1,X2)) ),
inference(cn,[status(thm)],[i_0_87]),
[final] ).
cnf(i_0_364,plain,
( X2 = vnoExp
| esk67_2(X1,X2) = vreduce(esk69_2(X1,X2))
| X2 = vsomeExp(vapp(vabs(esk62_2(X1,X2),esk63_2(X1,X2),esk64_2(X1,X2)),vgetSomeExp(esk65_2(X1,X2))))
| ~ epred3_2(X2,X1) ),
inference(cn,[status(thm)],[i_0_88]),
[final] ).
cnf(i_0_365,plain,
( X1 = vsomeExp(vsubst(esk68_2(X2,X1),esk69_2(X2,X1),esk70_2(X2,X1)))
| X2 = vapp(vabs(esk62_2(X2,X1),esk63_2(X2,X1),esk64_2(X2,X1)),esk61_2(X2,X1))
| X2 = vabs(esk58_2(X2,X1),esk59_2(X2,X1),esk60_2(X2,X1))
| X1 = vnoExp
| ~ epred3_2(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_63]),
[final] ).
cnf(i_0_366,plain,
( X2 = vnoExp
| X2 = vsomeExp(vapp(vabs(esk62_2(X1,X2),esk63_2(X1,X2),esk64_2(X1,X2)),vgetSomeExp(esk65_2(X1,X2))))
| visValue(esk69_2(X1,X2))
| ~ epred3_2(X2,X1) ),
inference(cn,[status(thm)],[i_0_89]),
[final] ).
cnf(i_0_367,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_80]),
[final] ).
cnf(i_0_368,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_80]),
[final] ).
cnf(i_0_369,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_84]),
[final] ).
cnf(i_0_370,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_80]),
[final] ).
cnf(i_0_371,plain,
( X1 = vapp(vabs(esk68_2(X1,X2),esk66_2(X1,X2),esk70_2(X1,X2)),esk69_2(X1,X2))
| X1 = vapp(vabs(esk62_2(X1,X2),esk63_2(X1,X2),esk64_2(X1,X2)),esk61_2(X1,X2))
| X2 = vnoExp
| X1 = vvar(esk57_2(X1,X2))
| ~ epred3_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_63]),
[final] ).
cnf(i_0_372,plain,
( X1 = vapp(esk29_3(X1,X2,X3),esk30_3(X1,X2,X3))
| X2 = varrow(esk27_3(X1,X2,X3),esk28_3(X1,X2,X3))
| X1 = vvar(esk24_3(X1,X2,X3))
| ~ vtcheck(X3,X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_80]),
[final] ).
cnf(i_0_373,plain,
( X2 = vnoExp
| X1 = vapp(vabs(esk62_2(X1,X2),esk63_2(X1,X2),esk64_2(X1,X2)),esk61_2(X1,X2))
| X1 = vapp(vabs(esk68_2(X1,X2),esk66_2(X1,X2),esk70_2(X1,X2)),esk69_2(X1,X2))
| ~ epred3_2(X2,X1) ),
inference(cn,[status(thm)],[i_0_90]),
[final] ).
cnf(i_0_374,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_84]),
[final] ).
cnf(i_0_375,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_84]),
[final] ).
cnf(i_0_376,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_84]),
[final] ).
cnf(i_0_377,plain,
( X1 = vsomeExp(vsubst(esk68_2(X2,X1),esk69_2(X2,X1),esk70_2(X2,X1)))
| X2 = vapp(vabs(esk62_2(X2,X1),esk63_2(X2,X1),esk64_2(X2,X1)),esk61_2(X2,X1))
| X1 = vnoExp
| X2 = vvar(esk57_2(X2,X1))
| ~ epred3_2(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_63]),
[final] ).
cnf(i_0_378,plain,
( X1 = vnoExp
| X1 = vsomeExp(vsubst(esk68_2(X2,X1),esk69_2(X2,X1),esk70_2(X2,X1)))
| X2 = vapp(vabs(esk62_2(X2,X1),esk63_2(X2,X1),esk64_2(X2,X1)),esk61_2(X2,X1))
| ~ epred3_2(X1,X2) ),
inference(cn,[status(thm)],[i_0_91]),
[final] ).
cnf(i_0_379,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_77]),
[final] ).
cnf(i_0_380,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_77]),
[final] ).
cnf(i_0_381,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_84]),
[final] ).
cnf(i_0_382,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_84]),
[final] ).
cnf(i_0_383,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_84]),
[final] ).
cnf(i_0_384,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_84]),
[final] ).
cnf(i_0_385,plain,
( X1 = vsomeExp(vapp(vgetSomeExp(esk77_2(X2,X1)),esk78_2(X2,X1)))
| X2 = vapp(vabs(esk71_2(X2,X1),esk72_2(X2,X1),esk73_2(X2,X1)),esk75_2(X2,X1))
| epred3_2(X1,X2)
| ~ epred4_2(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_92]),
[final] ).
cnf(i_0_386,plain,
( X1 = vapp(vabs(esk62_2(X1,X2),esk63_2(X1,X2),esk64_2(X1,X2)),esk61_2(X1,X2))
| X1 = vabs(esk58_2(X1,X2),esk59_2(X1,X2),esk60_2(X1,X2))
| X1 = vvar(esk57_2(X1,X2))
| ~ visSomeExp(esk67_2(X1,X2))
| ~ epred3_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_63]),
[final] ).
cnf(i_0_387,plain,
( esk67_2(X1,X2) = vreduce(esk69_2(X1,X2))
| X1 = vapp(vabs(esk62_2(X1,X2),esk63_2(X1,X2),esk64_2(X1,X2)),esk61_2(X1,X2))
| X1 = vabs(esk58_2(X1,X2),esk59_2(X1,X2),esk60_2(X1,X2))
| X1 = vvar(esk57_2(X1,X2))
| ~ epred3_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_63]),
[final] ).
cnf(i_0_388,plain,
( X1 = vapp(vabs(esk68_2(X1,X2),esk66_2(X1,X2),esk70_2(X1,X2)),esk69_2(X1,X2))
| esk65_2(X1,X2) = vreduce(esk61_2(X1,X2))
| X1 = vabs(esk58_2(X1,X2),esk59_2(X1,X2),esk60_2(X1,X2))
| X1 = vvar(esk57_2(X1,X2))
| ~ epred3_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_63]),
[final] ).
cnf(i_0_389,plain,
( X1 = vapp(vabs(esk68_2(X1,X2),esk66_2(X1,X2),esk70_2(X1,X2)),esk69_2(X1,X2))
| visSomeExp(esk65_2(X1,X2))
| X1 = vabs(esk58_2(X1,X2),esk59_2(X1,X2),esk60_2(X1,X2))
| X1 = vvar(esk57_2(X1,X2))
| ~ epred3_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_63]),
[final] ).
cnf(i_0_390,plain,
( visValue(esk69_2(X1,X2))
| X1 = vapp(vabs(esk62_2(X1,X2),esk63_2(X1,X2),esk64_2(X1,X2)),esk61_2(X1,X2))
| X1 = vabs(esk58_2(X1,X2),esk59_2(X1,X2),esk60_2(X1,X2))
| X1 = vvar(esk57_2(X1,X2))
| ~ epred3_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_63]),
[final] ).
cnf(i_0_391,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_84]),
[final] ).
cnf(i_0_392,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_84]),
[final] ).
cnf(i_0_393,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_84]),
[final] ).
cnf(i_0_394,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_84]),
[final] ).
cnf(i_0_395,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_84]),
[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)
| X3 = vnoType
| vlookup(X2,X1) != X3 ),
inference(split_conjunct,[status(thm)],[i_0_84]),
[final] ).
cnf(i_0_397,plain,
( X1 = vapp(vabs(esk62_2(X1,X2),esk63_2(X1,X2),esk64_2(X1,X2)),esk61_2(X1,X2))
| X1 = vabs(esk58_2(X1,X2),esk59_2(X1,X2),esk60_2(X1,X2))
| X2 = vnoExp
| ~ visSomeExp(esk67_2(X1,X2))
| ~ epred3_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_63]),
[final] ).
cnf(i_0_398,plain,
( esk67_2(X1,X2) = vreduce(esk69_2(X1,X2))
| X1 = vapp(vabs(esk62_2(X1,X2),esk63_2(X1,X2),esk64_2(X1,X2)),esk61_2(X1,X2))
| X1 = vabs(esk58_2(X1,X2),esk59_2(X1,X2),esk60_2(X1,X2))
| X2 = vnoExp
| ~ epred3_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_63]),
[final] ).
cnf(i_0_399,plain,
( X1 = vapp(vabs(esk68_2(X1,X2),esk66_2(X1,X2),esk70_2(X1,X2)),esk69_2(X1,X2))
| esk65_2(X1,X2) = vreduce(esk61_2(X1,X2))
| X1 = vabs(esk58_2(X1,X2),esk59_2(X1,X2),esk60_2(X1,X2))
| X2 = vnoExp
| ~ epred3_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_63]),
[final] ).
cnf(i_0_400,plain,
( X1 = vsomeExp(vsubst(esk68_2(X2,X1),esk69_2(X2,X1),esk70_2(X2,X1)))
| esk65_2(X2,X1) = vreduce(esk61_2(X2,X1))
| X2 = vabs(esk58_2(X2,X1),esk59_2(X2,X1),esk60_2(X2,X1))
| X2 = vvar(esk57_2(X2,X1))
| ~ epred3_2(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_63]),
[final] ).
cnf(i_0_401,plain,
( X1 = vapp(vabs(esk68_2(X1,X2),esk66_2(X1,X2),esk70_2(X1,X2)),esk69_2(X1,X2))
| visSomeExp(esk65_2(X1,X2))
| X1 = vabs(esk58_2(X1,X2),esk59_2(X1,X2),esk60_2(X1,X2))
| X2 = vnoExp
| ~ epred3_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_63]),
[final] ).
cnf(i_0_402,plain,
( visValue(esk69_2(X1,X2))
| X1 = vapp(vabs(esk62_2(X1,X2),esk63_2(X1,X2),esk64_2(X1,X2)),esk61_2(X1,X2))
| X1 = vabs(esk58_2(X1,X2),esk59_2(X1,X2),esk60_2(X1,X2))
| X2 = vnoExp
| ~ epred3_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_63]),
[final] ).
cnf(i_0_403,plain,
( X1 = vsomeExp(vsubst(esk68_2(X2,X1),esk69_2(X2,X1),esk70_2(X2,X1)))
| visSomeExp(esk65_2(X2,X1))
| X2 = vabs(esk58_2(X2,X1),esk59_2(X2,X1),esk60_2(X2,X1))
| X2 = vvar(esk57_2(X2,X1))
| ~ epred3_2(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_63]),
[final] ).
cnf(i_0_404,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_93]),
[final] ).
cnf(i_0_405,plain,
( X1 = vsomeExp(vsubst(esk68_2(X2,X1),esk69_2(X2,X1),esk70_2(X2,X1)))
| esk65_2(X2,X1) = vreduce(esk61_2(X2,X1))
| X2 = vabs(esk58_2(X2,X1),esk59_2(X2,X1),esk60_2(X2,X1))
| X1 = vnoExp
| ~ epred3_2(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_63]),
[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)
| X1 = vempty
| vlookup(X2,X1) != X3 ),
inference(split_conjunct,[status(thm)],[i_0_84]),
[final] ).
cnf(i_0_407,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_84]),
[final] ).
cnf(i_0_408,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_84]),
[final] ).
cnf(i_0_409,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_84]),
[final] ).
cnf(i_0_410,plain,
( X1 = vsomeExp(vsubst(esk68_2(X2,X1),esk69_2(X2,X1),esk70_2(X2,X1)))
| visSomeExp(esk65_2(X2,X1))
| X2 = vabs(esk58_2(X2,X1),esk59_2(X2,X1),esk60_2(X2,X1))
| X1 = vnoExp
| ~ epred3_2(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_63]),
[final] ).
cnf(i_0_411,plain,
( X1 = vapp(vabs(esk71_2(X1,X2),esk72_2(X1,X2),esk73_2(X1,X2)),esk75_2(X1,X2))
| epred3_2(X2,X1)
| esk76_2(X1,X2) != vabs(X3,X4,X5)
| ~ epred4_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_92]),
[final] ).
cnf(i_0_412,plain,
( vtcheck(X3,vabs(X1,X2,X4),varrow(X2,X5))
| ~ vtcheck(vbind(X1,X2,X3),X4,X5) ),
inference(split_conjunct,[status(thm)],[i_0_94]),
[final] ).
cnf(i_0_413,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_84]),
[final] ).
cnf(i_0_414,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_84]),
[final] ).
cnf(i_0_415,plain,
( X1 = vapp(esk76_2(X1,X2),esk78_2(X1,X2))
| X1 = vapp(vabs(esk71_2(X1,X2),esk72_2(X1,X2),esk73_2(X1,X2)),esk75_2(X1,X2))
| epred3_2(X2,X1)
| ~ epred4_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_92]),
[final] ).
cnf(i_0_416,plain,
( X1 = vapp(vabs(esk62_2(X1,X2),esk63_2(X1,X2),esk64_2(X1,X2)),esk61_2(X1,X2))
| X2 = vnoExp
| X1 = vvar(esk57_2(X1,X2))
| ~ visSomeExp(esk67_2(X1,X2))
| ~ epred3_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_63]),
[final] ).
cnf(i_0_417,plain,
( esk67_2(X1,X2) = vreduce(esk69_2(X1,X2))
| X1 = vapp(vabs(esk62_2(X1,X2),esk63_2(X1,X2),esk64_2(X1,X2)),esk61_2(X1,X2))
| X2 = vnoExp
| X1 = vvar(esk57_2(X1,X2))
| ~ epred3_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_63]),
[final] ).
cnf(i_0_418,plain,
( X1 = vapp(vabs(esk68_2(X1,X2),esk66_2(X1,X2),esk70_2(X1,X2)),esk69_2(X1,X2))
| esk65_2(X1,X2) = vreduce(esk61_2(X1,X2))
| X2 = vnoExp
| X1 = vvar(esk57_2(X1,X2))
| ~ epred3_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_63]),
[final] ).
cnf(i_0_419,plain,
( X1 = vapp(vabs(esk68_2(X1,X2),esk66_2(X1,X2),esk70_2(X1,X2)),esk69_2(X1,X2))
| visSomeExp(esk65_2(X1,X2))
| X2 = vnoExp
| X1 = vvar(esk57_2(X1,X2))
| ~ epred3_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_63]),
[final] ).
cnf(i_0_420,plain,
( visValue(esk69_2(X1,X2))
| X1 = vapp(vabs(esk62_2(X1,X2),esk63_2(X1,X2),esk64_2(X1,X2)),esk61_2(X1,X2))
| X2 = vnoExp
| X1 = vvar(esk57_2(X1,X2))
| ~ epred3_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_63]),
[final] ).
cnf(i_0_421,plain,
( esk77_2(X1,X2) = vreduce(esk76_2(X1,X2))
| X1 = vapp(vabs(esk71_2(X1,X2),esk72_2(X1,X2),esk73_2(X1,X2)),esk75_2(X1,X2))
| epred3_2(X2,X1)
| ~ epred4_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_92]),
[final] ).
cnf(i_0_422,plain,
( X2 = vnoExp
| X1 = vapp(vabs(esk62_2(X1,X2),esk63_2(X1,X2),esk64_2(X1,X2)),esk61_2(X1,X2))
| ~ epred3_2(X2,X1)
| ~ visSomeExp(esk67_2(X1,X2)) ),
inference(cn,[status(thm)],[i_0_95]),
[final] ).
cnf(i_0_423,plain,
( X2 = vnoExp
| esk67_2(X1,X2) = vreduce(esk69_2(X1,X2))
| X1 = vapp(vabs(esk62_2(X1,X2),esk63_2(X1,X2),esk64_2(X1,X2)),esk61_2(X1,X2))
| ~ epred3_2(X2,X1) ),
inference(cn,[status(thm)],[i_0_96]),
[final] ).
cnf(i_0_424,plain,
( X2 = vnoExp
| esk65_2(X1,X2) = vreduce(esk61_2(X1,X2))
| X1 = vapp(vabs(esk68_2(X1,X2),esk66_2(X1,X2),esk70_2(X1,X2)),esk69_2(X1,X2))
| ~ epred3_2(X2,X1) ),
inference(cn,[status(thm)],[i_0_97]),
[final] ).
cnf(i_0_425,plain,
( visSomeExp(esk77_2(X1,X2))
| X1 = vapp(vabs(esk71_2(X1,X2),esk72_2(X1,X2),esk73_2(X1,X2)),esk75_2(X1,X2))
| epred3_2(X2,X1)
| ~ epred4_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_92]),
[final] ).
cnf(i_0_426,plain,
( X1 = vsomeExp(vsubst(esk68_2(X2,X1),esk69_2(X2,X1),esk70_2(X2,X1)))
| esk65_2(X2,X1) = vreduce(esk61_2(X2,X1))
| X1 = vnoExp
| X2 = vvar(esk57_2(X2,X1))
| ~ epred3_2(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_63]),
[final] ).
cnf(i_0_427,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_84]),
[final] ).
cnf(i_0_428,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_84]),
[final] ).
cnf(i_0_429,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_84]),
[final] ).
cnf(i_0_430,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_84]),
[final] ).
cnf(i_0_431,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_84]),
[final] ).
cnf(i_0_432,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_84]),
[final] ).
cnf(i_0_433,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_98]),
[final] ).
cnf(i_0_434,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_84]),
[final] ).
cnf(i_0_435,plain,
( X2 = vnoExp
| X1 = vapp(vabs(esk68_2(X1,X2),esk66_2(X1,X2),esk70_2(X1,X2)),esk69_2(X1,X2))
| visSomeExp(esk65_2(X1,X2))
| ~ epred3_2(X2,X1) ),
inference(cn,[status(thm)],[i_0_99]),
[final] ).
cnf(i_0_436,plain,
( X2 = vnoExp
| X1 = vapp(vabs(esk62_2(X1,X2),esk63_2(X1,X2),esk64_2(X1,X2)),esk61_2(X1,X2))
| visValue(esk69_2(X1,X2))
| ~ epred3_2(X2,X1) ),
inference(cn,[status(thm)],[i_0_100]),
[final] ).
cnf(i_0_437,plain,
( X1 = vsomeExp(vsubst(esk68_2(X2,X1),esk69_2(X2,X1),esk70_2(X2,X1)))
| visSomeExp(esk65_2(X2,X1))
| X1 = vnoExp
| X2 = vvar(esk57_2(X2,X1))
| ~ epred3_2(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_63]),
[final] ).
cnf(i_0_438,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_101]),
[final] ).
cnf(i_0_439,plain,
( X1 = vnoExp
| esk65_2(X2,X1) = vreduce(esk61_2(X2,X1))
| X1 = vsomeExp(vsubst(esk68_2(X2,X1),esk69_2(X2,X1),esk70_2(X2,X1)))
| ~ epred3_2(X1,X2) ),
inference(cn,[status(thm)],[i_0_102]),
[final] ).
cnf(i_0_440,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_103]),
[final] ).
cnf(i_0_441,plain,
( X1 = vnoExp
| X1 = vsomeExp(vsubst(esk68_2(X2,X1),esk69_2(X2,X1),esk70_2(X2,X1)))
| visSomeExp(esk65_2(X2,X1))
| ~ epred3_2(X1,X2) ),
inference(cn,[status(thm)],[i_0_104]),
[final] ).
cnf(i_0_442,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_84]),
[final] ).
cnf(i_0_443,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_84]),
[final] ).
cnf(i_0_444,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_84]),
[final] ).
cnf(i_0_445,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_84]),
[final] ).
cnf(i_0_446,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_84]),
[final] ).
cnf(i_0_447,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_84]),
[final] ).
cnf(i_0_448,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_84]),
[final] ).
cnf(i_0_449,plain,
( vtcheck(X1,vapp(X2,X5),X4)
| ~ vtcheck(X1,X2,varrow(X3,X4))
| ~ vtcheck(X1,X5,X3) ),
inference(split_conjunct,[status(thm)],[i_0_105]),
[final] ).
cnf(i_0_450,plain,
( X1 = vsomeExp(vapp(vgetSomeExp(esk77_2(X2,X1)),esk78_2(X2,X1)))
| epred3_2(X1,X2)
| ~ visSomeExp(esk74_2(X2,X1))
| ~ epred4_2(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_92]),
[final] ).
cnf(i_0_451,plain,
( X1 = vsomeExp(vapp(vgetSomeExp(esk77_2(X2,X1)),esk78_2(X2,X1)))
| epred3_2(X1,X2)
| ~ visValue(esk75_2(X2,X1))
| ~ epred4_2(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_92]),
[final] ).
cnf(i_0_452,plain,
( X1 = vsomeExp(vapp(vgetSomeExp(esk77_2(X2,X1)),esk78_2(X2,X1)))
| esk74_2(X2,X1) = vreduce(esk75_2(X2,X1))
| epred3_2(X1,X2)
| ~ epred4_2(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_92]),
[final] ).
cnf(i_0_453,plain,
( esk65_2(X1,X2) = vreduce(esk61_2(X1,X2))
| X1 = vabs(esk58_2(X1,X2),esk59_2(X1,X2),esk60_2(X1,X2))
| X1 = vvar(esk57_2(X1,X2))
| ~ visSomeExp(esk67_2(X1,X2))
| ~ epred3_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_63]),
[final] ).
cnf(i_0_454,plain,
( esk67_2(X1,X2) = vreduce(esk69_2(X1,X2))
| esk65_2(X1,X2) = vreduce(esk61_2(X1,X2))
| X1 = vabs(esk58_2(X1,X2),esk59_2(X1,X2),esk60_2(X1,X2))
| X1 = vvar(esk57_2(X1,X2))
| ~ epred3_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_63]),
[final] ).
cnf(i_0_455,negated_conjecture,
~ vtcheck(vbind(esk32_0,esk33_0,esk34_0),vapp(ve1app,ve2app),esk35_0),
inference(split_conjunct,[status(thm)],[i_0_106]),
[final] ).
cnf(i_0_456,plain,
( vtcheck(vbind(X1,X4,X2),ve2app,X3)
| vlookup(X1,X2) != vnoType
| ~ vtcheck(X2,ve2app,X3) ),
inference(split_conjunct,[status(thm)],[i_0_107]),
[final] ).
cnf(i_0_457,plain,
( vtcheck(vbind(X1,X4,X2),ve1app,X3)
| vlookup(X1,X2) != vnoType
| ~ vtcheck(X2,ve1app,X3) ),
inference(split_conjunct,[status(thm)],[i_0_108]),
[final] ).
cnf(i_0_458,plain,
( visSomeExp(esk65_2(X1,X2))
| X1 = vabs(esk58_2(X1,X2),esk59_2(X1,X2),esk60_2(X1,X2))
| X1 = vvar(esk57_2(X1,X2))
| ~ visSomeExp(esk67_2(X1,X2))
| ~ epred3_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_63]),
[final] ).
cnf(i_0_459,plain,
( esk67_2(X1,X2) = vreduce(esk69_2(X1,X2))
| visSomeExp(esk65_2(X1,X2))
| X1 = vabs(esk58_2(X1,X2),esk59_2(X1,X2),esk60_2(X1,X2))
| X1 = vvar(esk57_2(X1,X2))
| ~ epred3_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_63]),
[final] ).
cnf(i_0_460,plain,
( visValue(esk69_2(X1,X2))
| esk65_2(X1,X2) = vreduce(esk61_2(X1,X2))
| X1 = vabs(esk58_2(X1,X2),esk59_2(X1,X2),esk60_2(X1,X2))
| X1 = vvar(esk57_2(X1,X2))
| ~ epred3_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_63]),
[final] ).
cnf(i_0_461,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_84]),
[final] ).
cnf(i_0_462,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_84]),
[final] ).
cnf(i_0_463,plain,
( esk65_2(X1,X2) = vreduce(esk61_2(X1,X2))
| X1 = vabs(esk58_2(X1,X2),esk59_2(X1,X2),esk60_2(X1,X2))
| X2 = vnoExp
| ~ visSomeExp(esk67_2(X1,X2))
| ~ epred3_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_63]),
[final] ).
cnf(i_0_464,plain,
( visValue(esk69_2(X1,X2))
| visSomeExp(esk65_2(X1,X2))
| X1 = vabs(esk58_2(X1,X2),esk59_2(X1,X2),esk60_2(X1,X2))
| X1 = vvar(esk57_2(X1,X2))
| ~ epred3_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_63]),
[final] ).
cnf(i_0_465,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_84]),
[final] ).
cnf(i_0_466,plain,
( esk67_2(X1,X2) = vreduce(esk69_2(X1,X2))
| esk65_2(X1,X2) = vreduce(esk61_2(X1,X2))
| X1 = vabs(esk58_2(X1,X2),esk59_2(X1,X2),esk60_2(X1,X2))
| X2 = vnoExp
| ~ epred3_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_63]),
[final] ).
cnf(i_0_467,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_84]),
[final] ).
cnf(i_0_468,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_109]),
[final] ).
cnf(i_0_469,plain,
( X1 = vsomeExp(vapp(vgetSomeExp(esk77_2(X2,X1)),esk78_2(X2,X1)))
| X1 = vnoExp
| epred3_2(X1,X2)
| ~ epred4_2(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_92]),
[final] ).
cnf(i_0_470,plain,
( visSomeExp(esk65_2(X1,X2))
| X1 = vabs(esk58_2(X1,X2),esk59_2(X1,X2),esk60_2(X1,X2))
| X2 = vnoExp
| ~ visSomeExp(esk67_2(X1,X2))
| ~ epred3_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_63]),
[final] ).
cnf(i_0_471,plain,
( esk67_2(X1,X2) = vreduce(esk69_2(X1,X2))
| visSomeExp(esk65_2(X1,X2))
| X1 = vabs(esk58_2(X1,X2),esk59_2(X1,X2),esk60_2(X1,X2))
| X2 = vnoExp
| ~ epred3_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_63]),
[final] ).
cnf(i_0_472,plain,
( visValue(esk69_2(X1,X2))
| esk65_2(X1,X2) = vreduce(esk61_2(X1,X2))
| X1 = vabs(esk58_2(X1,X2),esk59_2(X1,X2),esk60_2(X1,X2))
| X2 = vnoExp
| ~ epred3_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_63]),
[final] ).
cnf(i_0_473,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_110]),
[final] ).
cnf(i_0_474,plain,
( visValue(esk69_2(X1,X2))
| visSomeExp(esk65_2(X1,X2))
| X1 = vabs(esk58_2(X1,X2),esk59_2(X1,X2),esk60_2(X1,X2))
| X2 = vnoExp
| ~ epred3_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_63]),
[final] ).
cnf(i_0_475,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_84]),
[final] ).
cnf(i_0_476,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_84]),
[final] ).
cnf(i_0_477,plain,
( epred3_2(X2,X1)
| esk76_2(X1,X2) != vabs(X3,X4,X5)
| ~ visSomeExp(esk74_2(X1,X2))
| ~ epred4_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_92]),
[final] ).
cnf(i_0_478,plain,
( epred3_2(X2,X1)
| esk76_2(X1,X2) != vabs(X3,X4,X5)
| ~ visValue(esk75_2(X1,X2))
| ~ epred4_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_92]),
[final] ).
cnf(i_0_479,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_84]),
[final] ).
cnf(i_0_480,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_84]),
[final] ).
cnf(i_0_481,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_84]),
[final] ).
cnf(i_0_482,plain,
( esk74_2(X1,X2) = vreduce(esk75_2(X1,X2))
| epred3_2(X2,X1)
| esk76_2(X1,X2) != vabs(X3,X4,X5)
| ~ epred4_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_92]),
[final] ).
cnf(i_0_483,plain,
( X1 = X2
| vbind(X1,X3,X4) != vbind(X2,X5,X6) ),
inference(split_conjunct,[status(thm)],[i_0_111]),
[final] ).
cnf(i_0_484,plain,
( X1 = X2
| vbind(X3,X1,X4) != vbind(X5,X2,X6) ),
inference(split_conjunct,[status(thm)],[i_0_111]),
[final] ).
cnf(i_0_485,plain,
( X1 = X2
| vbind(X3,X4,X1) != vbind(X5,X6,X2) ),
inference(split_conjunct,[status(thm)],[i_0_111]),
[final] ).
cnf(i_0_486,plain,
( X1 = X2
| vabs(X1,X3,X4) != vabs(X2,X5,X6) ),
inference(split_conjunct,[status(thm)],[i_0_112]),
[final] ).
cnf(i_0_487,plain,
( X1 = X2
| vabs(X3,X1,X4) != vabs(X5,X2,X6) ),
inference(split_conjunct,[status(thm)],[i_0_112]),
[final] ).
cnf(i_0_488,plain,
( X1 = X2
| vabs(X3,X4,X1) != vabs(X5,X6,X2) ),
inference(split_conjunct,[status(thm)],[i_0_112]),
[final] ).
cnf(i_0_489,plain,
( X1 = vapp(esk76_2(X1,X2),esk78_2(X1,X2))
| epred3_2(X2,X1)
| ~ visSomeExp(esk74_2(X1,X2))
| ~ epred4_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_92]),
[final] ).
cnf(i_0_490,plain,
( X1 = vapp(esk76_2(X1,X2),esk78_2(X1,X2))
| epred3_2(X2,X1)
| ~ visValue(esk75_2(X1,X2))
| ~ epred4_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_92]),
[final] ).
cnf(i_0_491,plain,
( X1 = vapp(esk76_2(X1,X2),esk78_2(X1,X2))
| esk74_2(X1,X2) = vreduce(esk75_2(X1,X2))
| epred3_2(X2,X1)
| ~ epred4_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_92]),
[final] ).
cnf(i_0_492,plain,
( esk65_2(X1,X2) = vreduce(esk61_2(X1,X2))
| X2 = vnoExp
| X1 = vvar(esk57_2(X1,X2))
| ~ visSomeExp(esk67_2(X1,X2))
| ~ epred3_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_63]),
[final] ).
cnf(i_0_493,plain,
( X2 = vnoExp
| epred3_2(X2,X1)
| esk76_2(X1,X2) != vabs(X3,X4,X5)
| ~ epred4_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_92]),
[final] ).
cnf(i_0_494,plain,
( esk67_2(X1,X2) = vreduce(esk69_2(X1,X2))
| esk65_2(X1,X2) = vreduce(esk61_2(X1,X2))
| X2 = vnoExp
| X1 = vvar(esk57_2(X1,X2))
| ~ epred3_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_63]),
[final] ).
cnf(i_0_495,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_84]),
[final] ).
cnf(i_0_496,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_84]),
[final] ).
cnf(i_0_497,plain,
( visSomeExp(esk65_2(X1,X2))
| X2 = vnoExp
| X1 = vvar(esk57_2(X1,X2))
| ~ visSomeExp(esk67_2(X1,X2))
| ~ epred3_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_63]),
[final] ).
cnf(i_0_498,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_113]),
[final] ).
cnf(i_0_499,plain,
( epred4_2(X2,X1)
| esk22_2(X1,X2) != vabs(X3,X4,X5)
| vreduce(X1) != X2 ),
inference(split_conjunct,[status(thm)],[i_0_114]),
[final] ).
cnf(i_0_500,plain,
( X1 = X2
| visFreeVar(X4,X5)
| ~ visFreeVar(X2,X3)
| X4 != X2
| X5 != vabs(X1,X6,X3) ),
inference(split_conjunct,[status(thm)],[i_0_115]),
[final] ).
cnf(i_0_501,plain,
( esk67_2(X1,X2) = vreduce(esk69_2(X1,X2))
| visSomeExp(esk65_2(X1,X2))
| X2 = vnoExp
| X1 = vvar(esk57_2(X1,X2))
| ~ epred3_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_63]),
[final] ).
cnf(i_0_502,plain,
( visValue(esk69_2(X1,X2))
| esk65_2(X1,X2) = vreduce(esk61_2(X1,X2))
| X2 = vnoExp
| X1 = vvar(esk57_2(X1,X2))
| ~ epred3_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_63]),
[final] ).
cnf(i_0_503,plain,
( esk77_2(X1,X2) = vreduce(esk76_2(X1,X2))
| epred3_2(X2,X1)
| ~ visSomeExp(esk74_2(X1,X2))
| ~ epred4_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_92]),
[final] ).
cnf(i_0_504,plain,
( esk77_2(X1,X2) = vreduce(esk76_2(X1,X2))
| epred3_2(X2,X1)
| ~ visValue(esk75_2(X1,X2))
| ~ epred4_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_92]),
[final] ).
cnf(i_0_505,plain,
( visFreeVar(X1,X2)
| ~ visFreeVar(X3,X4)
| X3 != X1
| X4 != vabs(X5,X6,X2) ),
inference(split_conjunct,[status(thm)],[i_0_115]),
[final] ).
cnf(i_0_506,plain,
( esk77_2(X1,X2) = vreduce(esk76_2(X1,X2))
| esk74_2(X1,X2) = vreduce(esk75_2(X1,X2))
| epred3_2(X2,X1)
| ~ epred4_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_92]),
[final] ).
cnf(i_0_507,plain,
( X7 = vsomeType(X5)
| X1 != X2
| X3 != vbind(X4,X5,X6)
| X2 != X4
| X7 != vlookup(X1,X3) ),
inference(split_conjunct,[status(thm)],[i_0_116]),
[final] ).
cnf(i_0_508,plain,
( X1 != X2
| ~ visFreeVar(X3,X4)
| X3 != X2
| X4 != vabs(X1,X5,X6) ),
inference(split_conjunct,[status(thm)],[i_0_115]),
[final] ).
cnf(i_0_509,plain,
( visValue(esk69_2(X1,X2))
| visSomeExp(esk65_2(X1,X2))
| X2 = vnoExp
| X1 = vvar(esk57_2(X1,X2))
| ~ epred3_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_63]),
[final] ).
cnf(i_0_510,plain,
( X2 = vnoExp
| esk65_2(X1,X2) = vreduce(esk61_2(X1,X2))
| ~ epred3_2(X2,X1)
| ~ visSomeExp(esk67_2(X1,X2)) ),
inference(cn,[status(thm)],[i_0_117]),
[final] ).
cnf(i_0_511,plain,
( visSomeExp(esk77_2(X1,X2))
| epred3_2(X2,X1)
| ~ visSomeExp(esk74_2(X1,X2))
| ~ epred4_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_92]),
[final] ).
cnf(i_0_512,plain,
( visSomeExp(esk77_2(X1,X2))
| epred3_2(X2,X1)
| ~ visValue(esk75_2(X1,X2))
| ~ epred4_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_92]),
[final] ).
cnf(i_0_513,plain,
( X2 = vnoExp
| esk65_2(X1,X2) = vreduce(esk61_2(X1,X2))
| esk67_2(X1,X2) = vreduce(esk69_2(X1,X2))
| ~ epred3_2(X2,X1) ),
inference(cn,[status(thm)],[i_0_118]),
[final] ).
cnf(i_0_514,plain,
( visSomeExp(esk77_2(X1,X2))
| esk74_2(X1,X2) = vreduce(esk75_2(X1,X2))
| epred3_2(X2,X1)
| ~ epred4_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_92]),
[final] ).
cnf(i_0_515,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_119]),
[final] ).
cnf(i_0_516,plain,
( X7 = X4
| X1 != X2
| X3 != X4
| X5 != vvar(X6)
| X2 != X6
| X7 != vsubst(X1,X3,X5) ),
inference(split_conjunct,[status(thm)],[i_0_120]),
[final] ).
cnf(i_0_517,plain,
vabs(X1,X2,X3) != vapp(X4,X5),
inference(split_conjunct,[status(thm)],[i_0_121]),
[final] ).
cnf(i_0_518,plain,
( X1 = vapp(esk76_2(X1,X2),esk78_2(X1,X2))
| X2 = vnoExp
| epred3_2(X2,X1)
| ~ epred4_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_92]),
[final] ).
cnf(i_0_519,plain,
( X2 = vnoExp
| visSomeExp(esk65_2(X1,X2))
| ~ epred3_2(X2,X1)
| ~ visSomeExp(esk67_2(X1,X2)) ),
inference(cn,[status(thm)],[i_0_122]),
[final] ).
cnf(i_0_520,plain,
( X2 = vnoExp
| esk67_2(X1,X2) = vreduce(esk69_2(X1,X2))
| visSomeExp(esk65_2(X1,X2))
| ~ epred3_2(X2,X1) ),
inference(cn,[status(thm)],[i_0_123]),
[final] ).
cnf(i_0_521,plain,
( X2 = vnoExp
| esk65_2(X1,X2) = vreduce(esk61_2(X1,X2))
| visValue(esk69_2(X1,X2))
| ~ epred3_2(X2,X1) ),
inference(cn,[status(thm)],[i_0_124]),
[final] ).
cnf(i_0_522,plain,
( X5 = vnoExp
| X1 != vabs(X2,X3,X4)
| X5 != vreduce(X1) ),
inference(split_conjunct,[status(thm)],[i_0_125]),
[final] ).
cnf(i_0_523,plain,
vvar(X1) != vabs(X2,X3,X4),
inference(split_conjunct,[status(thm)],[i_0_126]),
[final] ).
cnf(i_0_524,plain,
( visValue(X1)
| X1 != vabs(X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[i_0_127]),
[final] ).
cnf(i_0_525,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_114]),
[final] ).
cnf(i_0_526,plain,
( vtcheck(X2,vvar(X1),X3)
| vlookup(X1,X2) != vsomeType(X3) ),
inference(split_conjunct,[status(thm)],[i_0_128]),
[final] ).
cnf(i_0_527,plain,
vempty != vbind(X1,X2,X3),
inference(split_conjunct,[status(thm)],[i_0_129]),
[final] ).
cnf(i_0_528,plain,
( X2 = vnoExp
| visValue(esk69_2(X1,X2))
| visSomeExp(esk65_2(X1,X2))
| ~ epred3_2(X2,X1) ),
inference(cn,[status(thm)],[i_0_130]),
[final] ).
cnf(i_0_529,plain,
( esk77_2(X1,X2) = vreduce(esk76_2(X1,X2))
| X2 = vnoExp
| epred3_2(X2,X1)
| ~ epred4_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_92]),
[final] ).
cnf(i_0_530,plain,
( visFreeVar(X3,X4)
| visFreeVar(X3,X5)
| ~ visFreeVar(X1,X2)
| X1 != X3
| X2 != vapp(X4,X5) ),
inference(split_conjunct,[status(thm)],[i_0_131]),
[final] ).
cnf(i_0_531,negated_conjecture,
vtcheck(esk34_0,vapp(ve1app,ve2app),esk35_0),
inference(split_conjunct,[status(thm)],[i_0_106]),
[final] ).
cnf(i_0_532,plain,
( epred4_2(X2,X1)
| ~ visSomeExp(esk23_2(X1,X2))
| vreduce(X1) != X2 ),
inference(split_conjunct,[status(thm)],[i_0_114]),
[final] ).
cnf(i_0_533,plain,
( visSomeExp(esk77_2(X1,X2))
| X2 = vnoExp
| epred3_2(X2,X1)
| ~ epred4_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_92]),
[final] ).
cnf(i_0_534,plain,
( esk23_2(X1,X2) = vreduce(esk22_2(X1,X2))
| epred4_2(X2,X1)
| vreduce(X1) != X2 ),
inference(split_conjunct,[status(thm)],[i_0_114]),
[final] ).
cnf(i_0_535,plain,
( visFreeVar(X3,X4)
| ~ visFreeVar(X1,X2)
| X3 != X1
| X4 != vapp(X2,X5) ),
inference(split_conjunct,[status(thm)],[i_0_131]),
[final] ).
cnf(i_0_536,plain,
( visFreeVar(X3,X4)
| ~ visFreeVar(X1,X2)
| X3 != X1
| X4 != vapp(X5,X2) ),
inference(split_conjunct,[status(thm)],[i_0_131]),
[final] ).
cnf(i_0_537,plain,
( X1 = X2
| varrow(X1,X3) != varrow(X2,X4) ),
inference(split_conjunct,[status(thm)],[i_0_132]),
[final] ).
cnf(i_0_538,plain,
( X1 = X2
| varrow(X3,X1) != varrow(X4,X2) ),
inference(split_conjunct,[status(thm)],[i_0_132]),
[final] ).
cnf(i_0_539,plain,
( X1 = X2
| vapp(X1,X3) != vapp(X2,X4) ),
inference(split_conjunct,[status(thm)],[i_0_133]),
[final] ).
cnf(i_0_540,plain,
( X1 = X2
| vapp(X3,X1) != vapp(X4,X2) ),
inference(split_conjunct,[status(thm)],[i_0_133]),
[final] ).
cnf(i_0_541,plain,
( X3 = X4
| ~ visFreeVar(X1,X2)
| X1 != X4
| X2 != vvar(X3) ),
inference(split_conjunct,[status(thm)],[i_0_134]),
[final] ).
cnf(i_0_542,plain,
( X4 = vnoType
| X1 != X2
| X3 != vempty
| X4 != vlookup(X1,X3) ),
inference(split_conjunct,[status(thm)],[i_0_135]),
[final] ).
cnf(i_0_543,plain,
( X1 != vapp(X2,X3)
| ~ visValue(X1) ),
inference(split_conjunct,[status(thm)],[i_0_136]),
[final] ).
cnf(i_0_544,plain,
( vgensym(X1) != X2
| ~ visFreeVar(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_137]),
[final] ).
cnf(i_0_545,plain,
( visFreeVar(X3,X4)
| X1 != X2
| X3 != X2
| X4 != vvar(X1) ),
inference(split_conjunct,[status(thm)],[i_0_134]),
[final] ).
cnf(i_0_546,plain,
vvar(X1) != vapp(X2,X3),
inference(split_conjunct,[status(thm)],[i_0_138]),
[final] ).
cnf(i_0_547,plain,
( X1 = vnoExp
| epred4_2(X1,X2)
| vreduce(X2) != X1 ),
inference(split_conjunct,[status(thm)],[i_0_114]),
[final] ).
cnf(i_0_548,plain,
( X3 = X2
| X1 != vsomeExp(X2)
| X3 != vgetSomeExp(X1) ),
inference(split_conjunct,[status(thm)],[i_0_139]),
[final] ).
cnf(i_0_549,plain,
( X3 = X2
| X1 != vsomeType(X2)
| X3 != vgetSomeType(X1) ),
inference(split_conjunct,[status(thm)],[i_0_140]),
[final] ).
cnf(i_0_550,plain,
( X3 = vnoExp
| X1 != vvar(X2)
| X3 != vreduce(X1) ),
inference(split_conjunct,[status(thm)],[i_0_141]),
[final] ).
cnf(i_0_551,plain,
( X1 != vvar(X2)
| ~ visValue(X1) ),
inference(split_conjunct,[status(thm)],[i_0_142]),
[final] ).
cnf(i_0_552,plain,
( X1 = X2
| vsomeExp(X1) != vsomeExp(X2) ),
inference(split_conjunct,[status(thm)],[i_0_143]),
[final] ).
cnf(i_0_553,plain,
( X1 = X2
| vsomeType(X1) != vsomeType(X2) ),
inference(split_conjunct,[status(thm)],[i_0_144]),
[final] ).
cnf(i_0_554,plain,
( X1 = X2
| vvar(X1) != vvar(X2) ),
inference(split_conjunct,[status(thm)],[i_0_145]),
[final] ).
cnf(i_0_555,plain,
( visSomeExp(X1)
| X1 != vsomeExp(X2) ),
inference(split_conjunct,[status(thm)],[i_0_146]),
[final] ).
cnf(i_0_556,plain,
( visSomeType(X1)
| X1 != vsomeType(X2) ),
inference(split_conjunct,[status(thm)],[i_0_147]),
[final] ).
cnf(i_0_557,negated_conjecture,
vlookup(esk32_0,esk34_0) = vnoType,
inference(split_conjunct,[status(thm)],[i_0_106]),
[final] ).
cnf(i_0_558,plain,
( X1 != vnoExp
| ~ visSomeExp(X1) ),
inference(split_conjunct,[status(thm)],[i_0_148]),
[final] ).
cnf(i_0_559,plain,
( X1 != vnoType
| ~ visSomeType(X1) ),
inference(split_conjunct,[status(thm)],[i_0_149]),
[final] ).
cnf(i_0_560,plain,
vnoExp != vsomeExp(X1),
inference(split_conjunct,[status(thm)],[i_0_150]),
[final] ).
cnf(i_0_561,plain,
vnoType != vsomeType(X1),
inference(split_conjunct,[status(thm)],[i_0_151]),
[final] ).
cnf(i_0_562,axiom,
X1 = X1 ).
cnf(i_0_563,axiom,
( X1 = X2
| X2 != X1 ) ).
cnf(i_0_564,axiom,
( X1 = X2
| X1 != X3
| X3 != X2 ) ).
cnf(i_0_565,axiom,
( X1 != X2
| vsubst(X1,X3,X4) = vsubst(X2,X3,X4) ) ).
cnf(i_0_566,axiom,
( X1 != X2
| vsubst(X3,X1,X4) = vsubst(X3,X2,X4) ) ).
cnf(i_0_567,axiom,
( X1 != X2
| vsubst(X3,X4,X1) = vsubst(X3,X4,X2) ) ).
cnf(i_0_568,axiom,
( X1 != X2
| esk48_4(X1,X3,X4,X5) = esk48_4(X2,X3,X4,X5) ) ).
cnf(i_0_569,axiom,
( X1 != X2
| esk48_4(X3,X1,X4,X5) = esk48_4(X3,X2,X4,X5) ) ).
cnf(i_0_570,axiom,
( X1 != X2
| esk48_4(X3,X4,X1,X5) = esk48_4(X3,X4,X2,X5) ) ).
cnf(i_0_571,axiom,
( X1 != X2
| esk48_4(X3,X4,X5,X1) = esk48_4(X3,X4,X5,X2) ) ).
cnf(i_0_572,axiom,
( X1 != X2
| vapp(X1,X3) = vapp(X2,X3) ) ).
cnf(i_0_573,axiom,
( X1 != X2
| vapp(X3,X1) = vapp(X3,X2) ) ).
cnf(i_0_574,axiom,
( X1 != X2
| esk43_4(X1,X3,X4,X5) = esk43_4(X2,X3,X4,X5) ) ).
cnf(i_0_575,axiom,
( X1 != X2
| esk43_4(X3,X1,X4,X5) = esk43_4(X3,X2,X4,X5) ) ).
cnf(i_0_576,axiom,
( X1 != X2
| esk43_4(X3,X4,X1,X5) = esk43_4(X3,X4,X2,X5) ) ).
cnf(i_0_577,axiom,
( X1 != X2
| esk43_4(X3,X4,X5,X1) = esk43_4(X3,X4,X5,X2) ) ).
cnf(i_0_578,axiom,
( X1 != X2
| esk44_4(X1,X3,X4,X5) = esk44_4(X2,X3,X4,X5) ) ).
cnf(i_0_579,axiom,
( X1 != X2
| esk44_4(X3,X1,X4,X5) = esk44_4(X3,X2,X4,X5) ) ).
cnf(i_0_580,axiom,
( X1 != X2
| esk44_4(X3,X4,X1,X5) = esk44_4(X3,X4,X2,X5) ) ).
cnf(i_0_581,axiom,
( X1 != X2
| esk44_4(X3,X4,X5,X1) = esk44_4(X3,X4,X5,X2) ) ).
cnf(i_0_582,axiom,
( X1 != X2
| esk47_4(X1,X3,X4,X5) = esk47_4(X2,X3,X4,X5) ) ).
cnf(i_0_583,axiom,
( X1 != X2
| esk47_4(X3,X1,X4,X5) = esk47_4(X3,X2,X4,X5) ) ).
cnf(i_0_584,axiom,
( X1 != X2
| esk47_4(X3,X4,X1,X5) = esk47_4(X3,X4,X2,X5) ) ).
cnf(i_0_585,axiom,
( X1 != X2
| esk47_4(X3,X4,X5,X1) = esk47_4(X3,X4,X5,X2) ) ).
cnf(i_0_586,axiom,
( X1 != X2
| esk46_4(X1,X3,X4,X5) = esk46_4(X2,X3,X4,X5) ) ).
cnf(i_0_587,axiom,
( X1 != X2
| esk46_4(X3,X1,X4,X5) = esk46_4(X3,X2,X4,X5) ) ).
cnf(i_0_588,axiom,
( X1 != X2
| esk46_4(X3,X4,X1,X5) = esk46_4(X3,X4,X2,X5) ) ).
cnf(i_0_589,axiom,
( X1 != X2
| esk46_4(X3,X4,X5,X1) = esk46_4(X3,X4,X5,X2) ) ).
cnf(i_0_590,axiom,
( X1 != X2
| esk51_4(X1,X3,X4,X5) = esk51_4(X2,X3,X4,X5) ) ).
cnf(i_0_591,axiom,
( X1 != X2
| esk51_4(X3,X1,X4,X5) = esk51_4(X3,X2,X4,X5) ) ).
cnf(i_0_592,axiom,
( X1 != X2
| esk51_4(X3,X4,X1,X5) = esk51_4(X3,X4,X2,X5) ) ).
cnf(i_0_593,axiom,
( X1 != X2
| esk51_4(X3,X4,X5,X1) = esk51_4(X3,X4,X5,X2) ) ).
cnf(i_0_594,axiom,
( X1 != X2
| vgensym(X1) = vgensym(X2) ) ).
cnf(i_0_595,axiom,
( X1 != X2
| vsomeExp(X1) = vsomeExp(X2) ) ).
cnf(i_0_596,axiom,
( X1 != X2
| vgetSomeExp(X1) = vgetSomeExp(X2) ) ).
cnf(i_0_597,axiom,
( X1 != X2
| vreduce(X1) = vreduce(X2) ) ).
cnf(i_0_598,axiom,
( X1 != X2
| esk10_4(X1,X3,X4,X5) = esk10_4(X2,X3,X4,X5) ) ).
cnf(i_0_599,axiom,
( X1 != X2
| esk10_4(X3,X1,X4,X5) = esk10_4(X3,X2,X4,X5) ) ).
cnf(i_0_600,axiom,
( X1 != X2
| esk10_4(X3,X4,X1,X5) = esk10_4(X3,X4,X2,X5) ) ).
cnf(i_0_601,axiom,
( X1 != X2
| esk10_4(X3,X4,X5,X1) = esk10_4(X3,X4,X5,X2) ) ).
cnf(i_0_602,axiom,
( X1 != X2
| esk12_4(X1,X3,X4,X5) = esk12_4(X2,X3,X4,X5) ) ).
cnf(i_0_603,axiom,
( X1 != X2
| esk12_4(X3,X1,X4,X5) = esk12_4(X3,X2,X4,X5) ) ).
cnf(i_0_604,axiom,
( X1 != X2
| esk12_4(X3,X4,X1,X5) = esk12_4(X3,X4,X2,X5) ) ).
cnf(i_0_605,axiom,
( X1 != X2
| esk12_4(X3,X4,X5,X1) = esk12_4(X3,X4,X5,X2) ) ).
cnf(i_0_606,axiom,
( X1 != X2
| esk52_4(X1,X3,X4,X5) = esk52_4(X2,X3,X4,X5) ) ).
cnf(i_0_607,axiom,
( X1 != X2
| esk52_4(X3,X1,X4,X5) = esk52_4(X3,X2,X4,X5) ) ).
cnf(i_0_608,axiom,
( X1 != X2
| esk52_4(X3,X4,X1,X5) = esk52_4(X3,X4,X2,X5) ) ).
cnf(i_0_609,axiom,
( X1 != X2
| esk52_4(X3,X4,X5,X1) = esk52_4(X3,X4,X5,X2) ) ).
cnf(i_0_610,axiom,
( X1 != X2
| esk13_4(X1,X3,X4,X5) = esk13_4(X2,X3,X4,X5) ) ).
cnf(i_0_611,axiom,
( X1 != X2
| esk13_4(X3,X1,X4,X5) = esk13_4(X3,X2,X4,X5) ) ).
cnf(i_0_612,axiom,
( X1 != X2
| esk13_4(X3,X4,X1,X5) = esk13_4(X3,X4,X2,X5) ) ).
cnf(i_0_613,axiom,
( X1 != X2
| esk13_4(X3,X4,X5,X1) = esk13_4(X3,X4,X5,X2) ) ).
cnf(i_0_614,axiom,
( X1 != X2
| esk37_4(X1,X3,X4,X5) = esk37_4(X2,X3,X4,X5) ) ).
cnf(i_0_615,axiom,
( X1 != X2
| esk37_4(X3,X1,X4,X5) = esk37_4(X3,X2,X4,X5) ) ).
cnf(i_0_616,axiom,
( X1 != X2
| esk37_4(X3,X4,X1,X5) = esk37_4(X3,X4,X2,X5) ) ).
cnf(i_0_617,axiom,
( X1 != X2
| esk37_4(X3,X4,X5,X1) = esk37_4(X3,X4,X5,X2) ) ).
cnf(i_0_618,axiom,
( X1 != X2
| esk40_4(X1,X3,X4,X5) = esk40_4(X2,X3,X4,X5) ) ).
cnf(i_0_619,axiom,
( X1 != X2
| esk40_4(X3,X1,X4,X5) = esk40_4(X3,X2,X4,X5) ) ).
cnf(i_0_620,axiom,
( X1 != X2
| esk40_4(X3,X4,X1,X5) = esk40_4(X3,X4,X2,X5) ) ).
cnf(i_0_621,axiom,
( X1 != X2
| esk40_4(X3,X4,X5,X1) = esk40_4(X3,X4,X5,X2) ) ).
cnf(i_0_622,axiom,
( X1 != X2
| esk41_4(X1,X3,X4,X5) = esk41_4(X2,X3,X4,X5) ) ).
cnf(i_0_623,axiom,
( X1 != X2
| esk41_4(X3,X1,X4,X5) = esk41_4(X3,X2,X4,X5) ) ).
cnf(i_0_624,axiom,
( X1 != X2
| esk41_4(X3,X4,X1,X5) = esk41_4(X3,X4,X2,X5) ) ).
cnf(i_0_625,axiom,
( X1 != X2
| esk41_4(X3,X4,X5,X1) = esk41_4(X3,X4,X5,X2) ) ).
cnf(i_0_626,axiom,
( X1 != X2
| esk36_4(X1,X3,X4,X5) = esk36_4(X2,X3,X4,X5) ) ).
cnf(i_0_627,axiom,
( X1 != X2
| esk36_4(X3,X1,X4,X5) = esk36_4(X3,X2,X4,X5) ) ).
cnf(i_0_628,axiom,
( X1 != X2
| esk36_4(X3,X4,X1,X5) = esk36_4(X3,X4,X2,X5) ) ).
cnf(i_0_629,axiom,
( X1 != X2
| esk36_4(X3,X4,X5,X1) = esk36_4(X3,X4,X5,X2) ) ).
cnf(i_0_630,axiom,
( X1 != X2
| esk38_4(X1,X3,X4,X5) = esk38_4(X2,X3,X4,X5) ) ).
cnf(i_0_631,axiom,
( X1 != X2
| esk38_4(X3,X1,X4,X5) = esk38_4(X3,X2,X4,X5) ) ).
cnf(i_0_632,axiom,
( X1 != X2
| esk38_4(X3,X4,X1,X5) = esk38_4(X3,X4,X2,X5) ) ).
cnf(i_0_633,axiom,
( X1 != X2
| esk38_4(X3,X4,X5,X1) = esk38_4(X3,X4,X5,X2) ) ).
cnf(i_0_634,axiom,
( X1 != X2
| vabs(X1,X3,X4) = vabs(X2,X3,X4) ) ).
cnf(i_0_635,axiom,
( X1 != X2
| vabs(X3,X1,X4) = vabs(X3,X2,X4) ) ).
cnf(i_0_636,axiom,
( X1 != X2
| vabs(X3,X4,X1) = vabs(X3,X4,X2) ) ).
cnf(i_0_637,axiom,
( X1 != X2
| varrow(X1,X3) = varrow(X2,X3) ) ).
cnf(i_0_638,axiom,
( X1 != X2
| varrow(X3,X1) = varrow(X3,X2) ) ).
cnf(i_0_639,axiom,
( X1 != X2
| vbind(X1,X3,X4) = vbind(X2,X3,X4) ) ).
cnf(i_0_640,axiom,
( X1 != X2
| vbind(X3,X1,X4) = vbind(X3,X2,X4) ) ).
cnf(i_0_641,axiom,
( X1 != X2
| vbind(X3,X4,X1) = vbind(X3,X4,X2) ) ).
cnf(i_0_642,axiom,
( X1 != X2
| vlookup(X1,X3) = vlookup(X2,X3) ) ).
cnf(i_0_643,axiom,
( X1 != X2
| vlookup(X3,X1) = vlookup(X3,X2) ) ).
cnf(i_0_644,axiom,
( X1 != X2
| esk55_4(X1,X3,X4,X5) = esk55_4(X2,X3,X4,X5) ) ).
cnf(i_0_645,axiom,
( X1 != X2
| esk55_4(X3,X1,X4,X5) = esk55_4(X3,X2,X4,X5) ) ).
cnf(i_0_646,axiom,
( X1 != X2
| esk55_4(X3,X4,X1,X5) = esk55_4(X3,X4,X2,X5) ) ).
cnf(i_0_647,axiom,
( X1 != X2
| esk55_4(X3,X4,X5,X1) = esk55_4(X3,X4,X5,X2) ) ).
cnf(i_0_648,axiom,
( X1 != X2
| vsomeType(X1) = vsomeType(X2) ) ).
cnf(i_0_649,axiom,
( X1 != X2
| esk65_2(X1,X3) = esk65_2(X2,X3) ) ).
cnf(i_0_650,axiom,
( X1 != X2
| esk65_2(X3,X1) = esk65_2(X3,X2) ) ).
cnf(i_0_651,axiom,
( X1 != X2
| esk39_4(X1,X3,X4,X5) = esk39_4(X2,X3,X4,X5) ) ).
cnf(i_0_652,axiom,
( X1 != X2
| esk39_4(X3,X1,X4,X5) = esk39_4(X3,X2,X4,X5) ) ).
cnf(i_0_653,axiom,
( X1 != X2
| esk39_4(X3,X4,X1,X5) = esk39_4(X3,X4,X2,X5) ) ).
cnf(i_0_654,axiom,
( X1 != X2
| esk39_4(X3,X4,X5,X1) = esk39_4(X3,X4,X5,X2) ) ).
cnf(i_0_655,axiom,
( X1 != X2
| esk67_2(X1,X3) = esk67_2(X2,X3) ) ).
cnf(i_0_656,axiom,
( X1 != X2
| esk67_2(X3,X1) = esk67_2(X3,X2) ) ).
cnf(i_0_657,axiom,
( X1 != X2
| esk7_3(X1,X3,X4) = esk7_3(X2,X3,X4) ) ).
cnf(i_0_658,axiom,
( X1 != X2
| esk7_3(X3,X1,X4) = esk7_3(X3,X2,X4) ) ).
cnf(i_0_659,axiom,
( X1 != X2
| esk7_3(X3,X4,X1) = esk7_3(X3,X4,X2) ) ).
cnf(i_0_660,axiom,
( X1 != X2
| esk4_3(X1,X3,X4) = esk4_3(X2,X3,X4) ) ).
cnf(i_0_661,axiom,
( X1 != X2
| esk4_3(X3,X1,X4) = esk4_3(X3,X2,X4) ) ).
cnf(i_0_662,axiom,
( X1 != X2
| esk4_3(X3,X4,X1) = esk4_3(X3,X4,X2) ) ).
cnf(i_0_663,axiom,
( X1 != X2
| esk54_4(X1,X3,X4,X5) = esk54_4(X2,X3,X4,X5) ) ).
cnf(i_0_664,axiom,
( X1 != X2
| esk54_4(X3,X1,X4,X5) = esk54_4(X3,X2,X4,X5) ) ).
cnf(i_0_665,axiom,
( X1 != X2
| esk54_4(X3,X4,X1,X5) = esk54_4(X3,X4,X2,X5) ) ).
cnf(i_0_666,axiom,
( X1 != X2
| esk54_4(X3,X4,X5,X1) = esk54_4(X3,X4,X5,X2) ) ).
cnf(i_0_667,axiom,
( X1 != X2
| esk1_3(X1,X3,X4) = esk1_3(X2,X3,X4) ) ).
cnf(i_0_668,axiom,
( X1 != X2
| esk1_3(X3,X1,X4) = esk1_3(X3,X2,X4) ) ).
cnf(i_0_669,axiom,
( X1 != X2
| esk1_3(X3,X4,X1) = esk1_3(X3,X4,X2) ) ).
cnf(i_0_670,axiom,
( X1 != X2
| esk8_3(X1,X3,X4) = esk8_3(X2,X3,X4) ) ).
cnf(i_0_671,axiom,
( X1 != X2
| esk8_3(X3,X1,X4) = esk8_3(X3,X2,X4) ) ).
cnf(i_0_672,axiom,
( X1 != X2
| esk8_3(X3,X4,X1) = esk8_3(X3,X4,X2) ) ).
cnf(i_0_673,axiom,
( X1 != X2
| esk3_3(X1,X3,X4) = esk3_3(X2,X3,X4) ) ).
cnf(i_0_674,axiom,
( X1 != X2
| esk3_3(X3,X1,X4) = esk3_3(X3,X2,X4) ) ).
cnf(i_0_675,axiom,
( X1 != X2
| esk3_3(X3,X4,X1) = esk3_3(X3,X4,X2) ) ).
cnf(i_0_676,axiom,
( X1 != X2
| esk77_2(X1,X3) = esk77_2(X2,X3) ) ).
cnf(i_0_677,axiom,
( X1 != X2
| esk77_2(X3,X1) = esk77_2(X3,X2) ) ).
cnf(i_0_678,axiom,
( X1 != X2
| vvar(X1) = vvar(X2) ) ).
cnf(i_0_679,axiom,
( X1 != X2
| esk76_2(X1,X3) = esk76_2(X2,X3) ) ).
cnf(i_0_680,axiom,
( X1 != X2
| esk76_2(X3,X1) = esk76_2(X3,X2) ) ).
cnf(i_0_681,axiom,
( X1 != X2
| esk74_2(X1,X3) = esk74_2(X2,X3) ) ).
cnf(i_0_682,axiom,
( X1 != X2
| esk74_2(X3,X1) = esk74_2(X3,X2) ) ).
cnf(i_0_683,axiom,
( X1 != X2
| esk22_2(X1,X3) = esk22_2(X2,X3) ) ).
cnf(i_0_684,axiom,
( X1 != X2
| esk22_2(X3,X1) = esk22_2(X3,X2) ) ).
cnf(i_0_685,axiom,
( X1 != X2
| esk23_2(X1,X3) = esk23_2(X2,X3) ) ).
cnf(i_0_686,axiom,
( X1 != X2
| esk23_2(X3,X1) = esk23_2(X3,X2) ) ).
cnf(i_0_687,axiom,
( X1 != X2
| vgetSomeType(X1) = vgetSomeType(X2) ) ).
cnf(i_0_688,axiom,
( X1 != X2
| ~ epred1_4(X1,X3,X4,X5)
| epred1_4(X2,X3,X4,X5) ) ).
cnf(i_0_689,axiom,
( X1 != X2
| ~ epred1_4(X3,X1,X4,X5)
| epred1_4(X3,X2,X4,X5) ) ).
cnf(i_0_690,axiom,
( X1 != X2
| ~ epred1_4(X3,X4,X1,X5)
| epred1_4(X3,X4,X2,X5) ) ).
cnf(i_0_691,axiom,
( X1 != X2
| ~ epred1_4(X3,X4,X5,X1)
| epred1_4(X3,X4,X5,X2) ) ).
cnf(i_0_692,axiom,
( X1 != X2
| ~ epred2_4(X1,X3,X4,X5)
| epred2_4(X2,X3,X4,X5) ) ).
cnf(i_0_693,axiom,
( X1 != X2
| ~ epred2_4(X3,X1,X4,X5)
| epred2_4(X3,X2,X4,X5) ) ).
cnf(i_0_694,axiom,
( X1 != X2
| ~ epred2_4(X3,X4,X1,X5)
| epred2_4(X3,X4,X2,X5) ) ).
cnf(i_0_695,axiom,
( X1 != X2
| ~ epred2_4(X3,X4,X5,X1)
| epred2_4(X3,X4,X5,X2) ) ).
cnf(i_0_696,axiom,
( X1 != X2
| ~ visFreeVar(X1,X3)
| visFreeVar(X2,X3) ) ).
cnf(i_0_697,axiom,
( X1 != X2
| ~ visFreeVar(X3,X1)
| visFreeVar(X3,X2) ) ).
cnf(i_0_698,axiom,
( X1 != X2
| ~ visSomeExp(X1)
| visSomeExp(X2) ) ).
cnf(i_0_699,axiom,
( X1 != X2
| ~ vtcheck(X1,X3,X4)
| vtcheck(X2,X3,X4) ) ).
cnf(i_0_700,axiom,
( X1 != X2
| ~ vtcheck(X3,X1,X4)
| vtcheck(X3,X2,X4) ) ).
cnf(i_0_701,axiom,
( X1 != X2
| ~ vtcheck(X3,X4,X1)
| vtcheck(X3,X4,X2) ) ).
cnf(i_0_702,axiom,
( X1 != X2
| ~ epred3_2(X1,X3)
| epred3_2(X2,X3) ) ).
cnf(i_0_703,axiom,
( X1 != X2
| ~ epred3_2(X3,X1)
| epred3_2(X3,X2) ) ).
cnf(i_0_704,axiom,
( X1 != X2
| ~ visValue(X1)
| visValue(X2) ) ).
cnf(i_0_705,axiom,
( X1 != X2
| ~ epred4_2(X1,X3)
| epred4_2(X2,X3) ) ).
cnf(i_0_706,axiom,
( X1 != X2
| ~ epred4_2(X3,X1)
| epred4_2(X3,X2) ) ).
cnf(i_0_707,axiom,
( X1 != X2
| ~ visSomeType(X1)
| visSomeType(X2) ) ).
cnf(i_0_748,plain,
X1 = X1,
inference(equality_inference,[],[483]) ).
cnf(i_0_749,plain,
X1 = X1,
inference(equality_inference,[],[484]) ).
cnf(i_0_750,plain,
X1 = X1,
inference(equality_inference,[],[485]) ).
cnf(i_0_751,plain,
X1 = X1,
inference(equality_inference,[],[486]) ).
cnf(i_0_752,plain,
X1 = X1,
inference(equality_inference,[],[487]) ).
cnf(i_0_753,plain,
X1 = X1,
inference(equality_inference,[],[488]) ).
cnf(i_0_756,plain,
visValue(vabs(X1,X2,X3)),
inference(equality_inference,[],[524]) ).
cnf(i_0_760,plain,
X1 = X1,
inference(equality_inference,[],[537]) ).
cnf(i_0_761,plain,
X1 = X1,
inference(equality_inference,[],[538]) ).
cnf(i_0_762,plain,
X1 = X1,
inference(equality_inference,[],[539]) ).
cnf(i_0_763,plain,
X1 = X1,
inference(equality_inference,[],[540]) ).
cnf(i_0_764,plain,
~ visValue(vapp(X1,X2)),
inference(equality_inference,[],[543]) ).
cnf(i_0_765,plain,
~ visFreeVar(vgensym(X1),X1),
inference(equality_inference,[],[544]) ).
cnf(i_0_767,plain,
~ visValue(vvar(X1)),
inference(equality_inference,[],[551]) ).
cnf(i_0_768,plain,
X1 = X1,
inference(equality_inference,[],[552]) ).
cnf(i_0_769,plain,
X1 = X1,
inference(equality_inference,[],[553]) ).
cnf(i_0_770,plain,
X1 = X1,
inference(equality_inference,[],[554]) ).
cnf(i_0_771,plain,
visSomeExp(vsomeExp(X1)),
inference(equality_inference,[],[555]) ).
cnf(i_0_772,plain,
visSomeType(vsomeType(X1)),
inference(equality_inference,[],[556]) ).
cnf(i_0_773,plain,
~ visSomeExp(vnoExp),
inference(equality_inference,[],[558]) ).
cnf(i_0_774,plain,
~ visSomeType(vnoType),
inference(equality_inference,[],[559]) ).
cnf(i_0_775,plain,
~ visSomeType(vlookup(esk32_0,esk34_0)),
inference(scs_inference,[],[i_0_557,i_0_559]) ).
cnf(i_0_777,plain,
vnoType = vlookup(esk32_0,esk34_0),
inference(scs_inference,[],[i_0_557,i_0_559,i_0_563]) ).
cnf(i_0_779,plain,
vvar(X1) != vabs(X2,X3,X4),
inference(rename_variables,[],[i_0_523]) ).
cnf(i_0_782,plain,
vabs(X1,X2,X3) != vapp(X4,X5),
inference(rename_variables,[],[i_0_517]) ).
cnf(i_0_795,plain,
vempty != vbind(X1,X2,X3),
inference(rename_variables,[],[i_0_527]) ).
cnf(i_0_796,plain,
vempty != vbind(X1,X2,X3),
inference(rename_variables,[],[i_0_527]) ).
cnf(i_0_800,plain,
vvar(X1) != vapp(X2,X3),
inference(rename_variables,[],[i_0_546]) ).
cnf(i_0_805,plain,
vvar(X1) != vabs(X2,X3,X4),
inference(rename_variables,[],[i_0_523]) ).
cnf(i_0_807,plain,
vvar(X1) != vabs(X2,X3,X4),
inference(rename_variables,[],[i_0_523]) ).
cnf(i_0_812,plain,
vabs(X1,X2,X3) != vapp(X4,X5),
inference(rename_variables,[],[i_0_517]) ).
cnf(i_0_815,plain,
vnoExp != vsomeExp(X1),
inference(rename_variables,[],[i_0_560]) ).
cnf(i_0_816,plain,
vabs(X1,X2,X3) != vapp(X4,X5),
inference(rename_variables,[],[i_0_517]) ).
cnf(i_0_818,plain,
vempty != vbind(X1,X2,X3),
inference(rename_variables,[],[i_0_527]) ).
cnf(i_0_819,plain,
vempty != vbind(X1,X2,X3),
inference(rename_variables,[],[i_0_527]) ).
cnf(i_0_820,plain,
vvar(X1) != vabs(X2,X3,X4),
inference(rename_variables,[],[i_0_523]) ).
cnf(i_0_824,plain,
vvar(X1) != vabs(X2,X3,X4),
inference(rename_variables,[],[i_0_523]) ).
cnf(i_0_827,plain,
vvar(X1) != vapp(X2,X3),
inference(rename_variables,[],[i_0_546]) ).
cnf(i_0_834,plain,
vempty != vbind(X1,X2,X3),
inference(rename_variables,[],[i_0_527]) ).
cnf(i_0_837,plain,
vempty != vbind(X1,X2,X3),
inference(rename_variables,[],[i_0_527]) ).
cnf(i_0_842,plain,
vempty != vbind(X1,X2,X3),
inference(rename_variables,[],[i_0_527]) ).
cnf(i_0_848,plain,
vvar(X1) != vabs(X2,X3,X4),
inference(rename_variables,[],[i_0_523]) ).
cnf(i_0_856,plain,
vvar(X1) != vapp(X2,X3),
inference(rename_variables,[],[i_0_546]) ).
cnf(i_0_906,plain,
vabs(X1,X2,X3) != vapp(X4,X5),
inference(rename_variables,[],[i_0_517]) ).
cnf(i_0_924,plain,
vabs(X1,X2,X3) != vapp(X4,X5),
inference(rename_variables,[],[i_0_517]) ).
cnf(i_0_941,plain,
vempty != vbind(X1,X2,X3),
inference(rename_variables,[],[i_0_527]) ).
cnf(i_0_942,plain,
vempty != vbind(X1,X2,X3),
inference(rename_variables,[],[i_0_527]) ).
cnf(i_0_966,plain,
vvar(X1) != vapp(X2,X3),
inference(rename_variables,[],[i_0_546]) ).
cnf(i_0_1110,plain,
vvar(X1) != vabs(X2,X3,X4),
inference(rename_variables,[],[i_0_523]) ).
cnf(i_0_1170,plain,
vempty != vbind(X1,X2,X3),
inference(rename_variables,[],[i_0_527]) ).
cnf(i_0_1171,plain,
vempty != vbind(X1,X2,X3),
inference(rename_variables,[],[i_0_527]) ).
cnf(i_0_1172,plain,
vvar(X1) != vabs(X2,X3,X4),
inference(rename_variables,[],[i_0_523]) ).
cnf(i_0_1189,plain,
vabs(X1,X2,X3) != vapp(X4,X5),
inference(rename_variables,[],[i_0_517]) ).
cnf(i_0_1196,plain,
vvar(X1) != vabs(X2,X3,X4),
inference(rename_variables,[],[i_0_523]) ).
cnf(i_0_1197,plain,
vvar(X1) != vapp(X2,X3),
inference(rename_variables,[],[i_0_546]) ).
cnf(i_0_1200,plain,
vempty != vbind(X1,X2,X3),
inference(rename_variables,[],[i_0_527]) ).
cnf(i_0_1204,plain,
vempty != vbind(X1,X2,X3),
inference(rename_variables,[],[i_0_527]) ).
cnf(i_0_1208,plain,
vempty != vbind(X1,X2,X3),
inference(rename_variables,[],[i_0_527]) ).
cnf(i_0_1212,plain,
vempty != vbind(X1,X2,X3),
inference(rename_variables,[],[i_0_527]) ).
cnf(i_0_1216,plain,
vempty != vbind(X1,X2,X3),
inference(rename_variables,[],[i_0_527]) ).
cnf(i_0_1220,plain,
vempty != vbind(X1,X2,X3),
inference(rename_variables,[],[i_0_527]) ).
cnf(i_0_1236,plain,
vempty != vbind(X1,X2,X3),
inference(rename_variables,[],[i_0_527]) ).
cnf(i_0_1242,plain,
vvar(X1) != vabs(X2,X3,X4),
inference(rename_variables,[],[i_0_523]) ).
cnf(i_0_1243,plain,
vvar(X1) != vapp(X2,X3),
inference(rename_variables,[],[i_0_546]) ).
cnf(i_0_1249,plain,
vempty != vbind(X1,X2,X3),
inference(rename_variables,[],[i_0_527]) ).
cnf(i_0_1255,plain,
vnoType != vsomeType(X1),
inference(rename_variables,[],[i_0_561]) ).
cnf(i_0_1256,plain,
vempty != vbind(X1,X2,X3),
inference(rename_variables,[],[i_0_527]) ).
cnf(i_0_1269,plain,
vempty != vbind(X1,X2,X3),
inference(rename_variables,[],[i_0_527]) ).
cnf(i_0_1275,plain,
vempty != vbind(X1,X2,X3),
inference(rename_variables,[],[i_0_527]) ).
cnf(i_0_1276,plain,
vempty != vbind(X1,X2,X3),
inference(rename_variables,[],[i_0_527]) ).
cnf(i_0_1283,plain,
vempty != vbind(X1,X2,X3),
inference(rename_variables,[],[i_0_527]) ).
cnf(i_0_1287,plain,
vvar(X1) != vabs(X2,X3,X4),
inference(rename_variables,[],[i_0_523]) ).
cnf(i_0_1300,plain,
vnoType != vsomeType(X1),
inference(rename_variables,[],[i_0_561]) ).
cnf(i_0_1311,plain,
vnoType != vsomeType(X1),
inference(rename_variables,[],[i_0_561]) ).
cnf(i_0_1322,plain,
vnoType != vsomeType(X1),
inference(rename_variables,[],[i_0_561]) ).
cnf(i_0_1328,plain,
vempty != vbind(X1,X2,X3),
inference(rename_variables,[],[i_0_527]) ).
cnf(i_0_1331,plain,
vnoType != vsomeType(X1),
inference(rename_variables,[],[i_0_561]) ).
cnf(i_0_1334,plain,
vempty != vbind(X1,X2,X3),
inference(rename_variables,[],[i_0_527]) ).
cnf(i_0_1336,plain,
vvar(X1) != vabs(X2,X3,X4),
inference(rename_variables,[],[i_0_523]) ).
cnf(i_0_1343,plain,
vnoType != vsomeType(X1),
inference(rename_variables,[],[i_0_561]) ).
cnf(i_0_1354,plain,
vnoType != vsomeType(X1),
inference(rename_variables,[],[i_0_561]) ).
cnf(i_0_1369,plain,
vvar(X1) != vabs(X2,X3,X4),
inference(rename_variables,[],[i_0_523]) ).
cnf(i_0_1371,plain,
vvar(X1) != vabs(X2,X3,X4),
inference(rename_variables,[],[i_0_523]) ).
cnf(i_0_1372,plain,
vempty != vbind(X1,X2,X3),
inference(rename_variables,[],[i_0_527]) ).
cnf(i_0_1380,plain,
vvar(X1) != vabs(X2,X3,X4),
inference(rename_variables,[],[i_0_523]) ).
cnf(i_0_1382,plain,
vvar(X1) != vabs(X2,X3,X4),
inference(rename_variables,[],[i_0_523]) ).
cnf(i_0_1383,plain,
vempty != vbind(X1,X2,X3),
inference(rename_variables,[],[i_0_527]) ).
cnf(i_0_1387,plain,
vabs(X1,X2,X3) != vapp(X4,X5),
inference(rename_variables,[],[i_0_517]) ).
cnf(i_0_1390,plain,
vabs(X1,X2,X3) != vapp(X4,X5),
inference(rename_variables,[],[i_0_517]) ).
cnf(i_0_1393,plain,
vabs(X1,X2,X3) != vapp(X4,X5),
inference(rename_variables,[],[i_0_517]) ).
cnf(i_0_1395,plain,
vnoExp != vsomeExp(X1),
inference(rename_variables,[],[i_0_560]) ).
cnf(i_0_1396,plain,
vnoExp != vsomeExp(X1),
inference(rename_variables,[],[i_0_560]) ).
cnf(i_0_1398,plain,
vempty != vbind(X1,X2,X3),
inference(rename_variables,[],[i_0_527]) ).
cnf(i_0_1401,plain,
vempty != vbind(X1,X2,X3),
inference(rename_variables,[],[i_0_527]) ).
cnf(i_0_1403,plain,
vempty != vbind(X1,X2,X3),
inference(rename_variables,[],[i_0_527]) ).
cnf(i_0_1406,plain,
vnoType != vsomeType(X1),
inference(rename_variables,[],[i_0_561]) ).
cnf(i_0_1407,plain,
vempty != vbind(X1,X2,X3),
inference(rename_variables,[],[i_0_527]) ).
cnf(i_0_1444,plain,
vempty != vbind(X1,X2,X3),
inference(rename_variables,[],[i_0_527]) ).
cnf(i_0_1445,plain,
vempty != vbind(X1,X2,X3),
inference(rename_variables,[],[i_0_527]) ).
cnf(i_0_1446,plain,
vvar(X1) != vabs(X2,X3,X4),
inference(rename_variables,[],[i_0_523]) ).
cnf(i_0_1525,plain,
vempty != vbind(X1,X2,X3),
inference(rename_variables,[],[i_0_527]) ).
cnf(i_0_1562,plain,
vvar(X1) != vapp(X2,X3),
inference(rename_variables,[],[i_0_546]) ).
cnf(i_0_1625,plain,
vnoExp != vsomeExp(X1),
inference(rename_variables,[],[i_0_560]) ).
cnf(i_0_1626,plain,
vvar(X1) != vapp(X2,X3),
inference(rename_variables,[],[i_0_546]) ).
cnf(i_0_1629,plain,
vnoExp != vsomeExp(X1),
inference(rename_variables,[],[i_0_560]) ).
cnf(i_0_1630,plain,
vvar(X1) != vabs(X2,X3,X4),
inference(rename_variables,[],[i_0_523]) ).
cnf(i_0_1631,plain,
vvar(X1) != vapp(X2,X3),
inference(rename_variables,[],[i_0_546]) ).
cnf(i_0_1640,plain,
vempty != vbind(X1,X2,X3),
inference(rename_variables,[],[i_0_527]) ).
cnf(i_0_1641,plain,
vvar(X1) != vabs(X2,X3,X4),
inference(rename_variables,[],[i_0_523]) ).
cnf(i_0_1648,plain,
vvar(X1) != vapp(X2,X3),
inference(rename_variables,[],[i_0_546]) ).
cnf(i_0_1657,plain,
vabs(X1,X2,X3) != vapp(X4,X5),
inference(rename_variables,[],[i_0_517]) ).
cnf(i_0_1663,plain,
vabs(X1,X2,X3) != vapp(X4,X5),
inference(rename_variables,[],[i_0_517]) ).
cnf(i_0_1674,plain,
vabs(X1,X2,X3) != vapp(X4,X5),
inference(rename_variables,[],[i_0_517]) ).
cnf(i_0_1681,plain,
vabs(X1,X2,X3) != vapp(X4,X5),
inference(rename_variables,[],[i_0_517]) ).
cnf(i_0_1692,plain,
vempty != vbind(X1,X2,X3),
inference(rename_variables,[],[i_0_527]) ).
cnf(i_0_1714,plain,
vvar(X1) != vapp(X2,X3),
inference(rename_variables,[],[i_0_546]) ).
cnf(i_0_1727,plain,
vvar(X1) != vapp(X2,X3),
inference(rename_variables,[],[i_0_546]) ).
cnf(i_0_1736,plain,
vabs(X1,X2,X3) != vapp(X4,X5),
inference(rename_variables,[],[i_0_517]) ).
cnf(i_0_1739,plain,
vvar(X1) != vapp(X2,X3),
inference(rename_variables,[],[i_0_546]) ).
cnf(i_0_1743,plain,
vabs(X1,X2,X3) != vapp(X4,X5),
inference(rename_variables,[],[i_0_517]) ).
cnf(i_0_1749,plain,
vempty != vbind(X1,X2,X3),
inference(rename_variables,[],[i_0_527]) ).
cnf(i_0_1750,plain,
vempty != vbind(X1,X2,X3),
inference(rename_variables,[],[i_0_527]) ).
cnf(i_0_1759,plain,
vvar(X1) != vabs(X2,X3,X4),
inference(rename_variables,[],[i_0_523]) ).
cnf(i_0_1766,plain,
vvar(X1) != vapp(X2,X3),
inference(rename_variables,[],[i_0_546]) ).
cnf(i_0_1777,plain,
vvar(X1) != vapp(X2,X3),
inference(rename_variables,[],[i_0_546]) ).
cnf(i_0_1786,plain,
vvar(X1) != vapp(X2,X3),
inference(rename_variables,[],[i_0_546]) ).
cnf(i_0_1798,plain,
vvar(X1) != vapp(X2,X3),
inference(rename_variables,[],[i_0_546]) ).
cnf(i_0_1808,plain,
vempty != vbind(X1,X2,X3),
inference(rename_variables,[],[i_0_527]) ).
cnf(i_0_1810,plain,
vabs(X1,X2,X3) != vapp(X4,X5),
inference(rename_variables,[],[i_0_517]) ).
cnf(i_0_1832,plain,
vnoExp != vsomeExp(X1),
inference(rename_variables,[],[i_0_560]) ).
cnf(i_0_1869,plain,
vempty != vbind(X1,X2,X3),
inference(rename_variables,[],[i_0_527]) ).
cnf(i_0_1870,plain,
vempty != vbind(X1,X2,X3),
inference(rename_variables,[],[i_0_527]) ).
cnf(i_0_1883,plain,
vvar(X1) != vabs(X2,X3,X4),
inference(rename_variables,[],[i_0_523]) ).
cnf(i_0_1934,plain,
vabs(X1,X2,X3) != vapp(X4,X5),
inference(rename_variables,[],[i_0_517]) ).
cnf(i_0_1954,plain,
vempty != vbind(X1,X2,X3),
inference(rename_variables,[],[i_0_527]) ).
cnf(i_0_1979,plain,
vvar(X1) != vapp(X2,X3),
inference(rename_variables,[],[i_0_546]) ).
cnf(i_0_1983,plain,
vnoExp != vsomeExp(X1),
inference(rename_variables,[],[i_0_560]) ).
cnf(i_0_1993,plain,
vempty != vbind(X1,X2,X3),
inference(rename_variables,[],[i_0_527]) ).
cnf(i_0_1996,plain,
vvar(X1) != vabs(X2,X3,X4),
inference(rename_variables,[],[i_0_523]) ).
cnf(i_0_2126,plain,
vabs(X1,X2,X3) != vapp(X4,X5),
inference(rename_variables,[],[i_0_517]) ).
cnf(i_0_2157,plain,
vempty != vbind(X1,X2,X3),
inference(rename_variables,[],[i_0_527]) ).
cnf(i_0_2158,plain,
vempty != vbind(X1,X2,X3),
inference(rename_variables,[],[i_0_527]) ).
cnf(i_0_2160,plain,
vvar(X1) != vabs(X2,X3,X4),
inference(rename_variables,[],[i_0_523]) ).
cnf(i_0_2216,plain,
vvar(X1) != vabs(X2,X3,X4),
inference(rename_variables,[],[i_0_523]) ).
cnf(i_0_2219,plain,
vabs(X1,X2,X3) != vapp(X4,X5),
inference(rename_variables,[],[i_0_517]) ).
cnf(i_0_2245,plain,
vvar(X1) != vabs(X2,X3,X4),
inference(rename_variables,[],[i_0_523]) ).
cnf(i_0_2249,plain,
vabs(X1,X2,X3) != vapp(X4,X5),
inference(rename_variables,[],[i_0_517]) ).
cnf(i_0_2271,plain,
vempty != vbind(X1,X2,X3),
inference(rename_variables,[],[i_0_527]) ).
cnf(i_0_2272,plain,
vempty != vbind(X1,X2,X3),
inference(rename_variables,[],[i_0_527]) ).
cnf(i_0_2274,plain,
vvar(X1) != vabs(X2,X3,X4),
inference(rename_variables,[],[i_0_523]) ).
cnf(i_0_2294,plain,
vnoExp != vsomeExp(X1),
inference(rename_variables,[],[i_0_560]) ).
cnf(i_0_2295,plain,
vabs(X1,X2,X3) != vapp(X4,X5),
inference(rename_variables,[],[i_0_517]) ).
cnf(i_0_2322,plain,
vvar(X1) != vabs(X2,X3,X4),
inference(rename_variables,[],[i_0_523]) ).
cnf(i_0_2323,plain,
vabs(X1,X2,X3) != vapp(X4,X5),
inference(rename_variables,[],[i_0_517]) ).
cnf(i_0_2348,plain,
vvar(X1) != vabs(X2,X3,X4),
inference(rename_variables,[],[i_0_523]) ).
cnf(i_0_2349,plain,
vvar(X1) != vapp(X2,X3),
inference(rename_variables,[],[i_0_546]) ).
cnf(i_0_2362,plain,
vvar(X1) != vabs(X2,X3,X4),
inference(rename_variables,[],[i_0_523]) ).
cnf(i_0_2363,plain,
vabs(X1,X2,X3) != vapp(X4,X5),
inference(rename_variables,[],[i_0_517]) ).
cnf(i_0_2368,plain,
vabs(X1,X2,X3) != vapp(X4,X5),
inference(rename_variables,[],[i_0_517]) ).
cnf(i_0_2369,plain,
vvar(X1) != vabs(X2,X3,X4),
inference(rename_variables,[],[i_0_523]) ).
cnf(i_0_2395,plain,
vvar(X1) != vabs(X2,X3,X4),
inference(rename_variables,[],[i_0_523]) ).
cnf(i_0_2396,plain,
vabs(X1,X2,X3) != vapp(X4,X5),
inference(rename_variables,[],[i_0_517]) ).
cnf(i_0_2406,plain,
vvar(X1) != vabs(X2,X3,X4),
inference(rename_variables,[],[i_0_523]) ).
cnf(i_0_2407,plain,
vabs(X1,X2,X3) != vapp(X4,X5),
inference(rename_variables,[],[i_0_517]) ).
cnf(i_0_2425,plain,
vnoExp != vsomeExp(X1),
inference(rename_variables,[],[i_0_560]) ).
cnf(i_0_2426,plain,
vnoExp != vsomeExp(X1),
inference(rename_variables,[],[i_0_560]) ).
cnf(i_0_2428,plain,
vnoExp != vsomeExp(X1),
inference(rename_variables,[],[i_0_560]) ).
cnf(i_0_2429,plain,
vabs(X1,X2,X3) != vapp(X4,X5),
inference(rename_variables,[],[i_0_517]) ).
cnf(i_0_2454,plain,
vempty != vbind(X1,X2,X3),
inference(rename_variables,[],[i_0_527]) ).
cnf(i_0_2455,plain,
vempty != vbind(X1,X2,X3),
inference(rename_variables,[],[i_0_527]) ).
cnf(i_0_2457,plain,
vvar(X1) != vabs(X2,X3,X4),
inference(rename_variables,[],[i_0_523]) ).
cnf(i_0_2480,plain,
vnoExp != vsomeExp(X1),
inference(rename_variables,[],[i_0_560]) ).
cnf(i_0_2497,plain,
vabs(X1,X2,X3) != vapp(X4,X5),
inference(rename_variables,[],[i_0_517]) ).
cnf(i_0_2498,plain,
vvar(X1) != vabs(X2,X3,X4),
inference(rename_variables,[],[i_0_523]) ).
cnf(i_0_2521,plain,
vvar(X1) != vabs(X2,X3,X4),
inference(rename_variables,[],[i_0_523]) ).
cnf(i_0_2522,plain,
vvar(X1) != vabs(X2,X3,X4),
inference(rename_variables,[],[i_0_523]) ).
cnf(i_0_2524,plain,
vvar(X1) != vabs(X2,X3,X4),
inference(rename_variables,[],[i_0_523]) ).
cnf(i_0_2525,plain,
vvar(X1) != vapp(X2,X3),
inference(rename_variables,[],[i_0_546]) ).
cnf(i_0_2538,plain,
vvar(X1) != vapp(X2,X3),
inference(rename_variables,[],[i_0_546]) ).
cnf(i_0_2539,plain,
vvar(X1) != vabs(X2,X3,X4),
inference(rename_variables,[],[i_0_523]) ).
cnf(i_0_2565,plain,
vvar(X1) != vabs(X2,X3,X4),
inference(rename_variables,[],[i_0_523]) ).
cnf(i_0_2579,plain,
vvar(X1) != vabs(X2,X3,X4),
inference(rename_variables,[],[i_0_523]) ).
cnf(i_0_2612,plain,
vnoExp != vsomeExp(X1),
inference(rename_variables,[],[i_0_560]) ).
cnf(i_0_2613,plain,
vvar(X1) != vabs(X2,X3,X4),
inference(rename_variables,[],[i_0_523]) ).
cnf(i_0_2614,plain,
vvar(X1) != vapp(X2,X3),
inference(rename_variables,[],[i_0_546]) ).
cnf(i_0_2660,plain,
vnoExp != vsomeExp(X1),
inference(rename_variables,[],[i_0_560]) ).
cnf(i_0_2673,plain,
vnoExp != vsomeExp(X1),
inference(rename_variables,[],[i_0_560]) ).
cnf(i_0_2677,plain,
vnoExp != vsomeExp(X1),
inference(rename_variables,[],[i_0_560]) ).
cnf(i_0_2678,plain,
vnoExp != vsomeExp(X1),
inference(rename_variables,[],[i_0_560]) ).
cnf(i_0_2700,plain,
vvar(X1) != vabs(X2,X3,X4),
inference(rename_variables,[],[i_0_523]) ).
cnf(i_0_2701,plain,
vvar(X1) != vabs(X2,X3,X4),
inference(rename_variables,[],[i_0_523]) ).
cnf(i_0_2729,plain,
vnoExp != vsomeExp(X1),
inference(rename_variables,[],[i_0_560]) ).
cnf(i_0_2733,plain,
vnoExp != vsomeExp(X1),
inference(rename_variables,[],[i_0_560]) ).
cnf(i_0_2735,plain,
vnoExp != vsomeExp(X1),
inference(rename_variables,[],[i_0_560]) ).
cnf(i_0_2745,plain,
vvar(X1) != vabs(X2,X3,X4),
inference(rename_variables,[],[i_0_523]) ).
cnf(i_0_2746,plain,
vvar(X1) != vabs(X2,X3,X4),
inference(rename_variables,[],[i_0_523]) ).
cnf(i_0_2767,plain,
vabs(X1,X2,X3) != vapp(X4,X5),
inference(rename_variables,[],[i_0_517]) ).
cnf(i_0_2769,plain,
vempty != vbind(X1,X2,X3),
inference(rename_variables,[],[i_0_527]) ).
cnf(i_0_2771,plain,
vvar(X1) != vabs(X2,X3,X4),
inference(rename_variables,[],[i_0_523]) ).
cnf(i_0_2772,plain,
vvar(X1) != vapp(X2,X3),
inference(rename_variables,[],[i_0_546]) ).
cnf(i_0_2773,plain,
vempty != vbind(X1,X2,X3),
inference(rename_variables,[],[i_0_527]) ).
cnf(i_0_2775,plain,
vempty != vbind(X1,X2,X3),
inference(rename_variables,[],[i_0_527]) ).
cnf(i_0_2778,plain,
vnoExp != vsomeExp(X1),
inference(rename_variables,[],[i_0_560]) ).
cnf(i_0_2779,plain,
vnoExp != vsomeExp(X1),
inference(rename_variables,[],[i_0_560]) ).
cnf(i_0_2781,plain,
vnoExp != vsomeExp(X1),
inference(rename_variables,[],[i_0_560]) ).
cnf(i_0_2784,plain,
vnoType != vsomeType(X1),
inference(rename_variables,[],[i_0_561]) ).
cnf(i_0_2788,plain,
vvar(X1) != vabs(X2,X3,X4),
inference(rename_variables,[],[i_0_523]) ).
cnf(i_0_2789,plain,
vnoType != vsomeType(X1),
inference(rename_variables,[],[i_0_561]) ).
cnf(i_0_2791,plain,
vvar(X1) != vabs(X2,X3,X4),
inference(rename_variables,[],[i_0_523]) ).
cnf(i_0_2872,plain,
vabs(X1,X2,X3) != vapp(X4,X5),
inference(rename_variables,[],[i_0_517]) ).
cnf(i_0_2881,plain,
vvar(X1) != vabs(X2,X3,X4),
inference(rename_variables,[],[i_0_523]) ).
cnf(i_0_2882,plain,
vvar(X1) != vapp(X2,X3),
inference(rename_variables,[],[i_0_546]) ).
cnf(i_0_3137,plain,
vvar(X1) != vabs(X2,X3,X4),
inference(rename_variables,[],[i_0_523]) ).
cnf(i_0_3143,plain,
vabs(X1,X2,X3) != vapp(X4,X5),
inference(rename_variables,[],[i_0_517]) ).
cnf(i_0_3426,plain,
vvar(X1) != vapp(X2,X3),
inference(rename_variables,[],[i_0_546]) ).
cnf(i_0_3438,plain,
vempty != vbind(X1,X2,X3),
inference(rename_variables,[],[i_0_527]) ).
cnf(i_0_3459,plain,
vabs(X1,X2,X3) != vapp(X4,X5),
inference(rename_variables,[],[i_0_517]) ).
cnf(i_0_3460,plain,
vnoExp != vsomeExp(X1),
inference(rename_variables,[],[i_0_560]) ).
cnf(i_0_3470,plain,
vnoType != vsomeType(X1),
inference(rename_variables,[],[i_0_561]) ).
cnf(i_0_3716,plain,
vvar(X1) != vabs(X2,X3,X4),
inference(rename_variables,[],[i_0_523]) ).
cnf(i_0_3717,plain,
vvar(X1) != vapp(X2,X3),
inference(rename_variables,[],[i_0_546]) ).
cnf(i_0_3718,plain,
vnoExp != vsomeExp(X1),
inference(rename_variables,[],[i_0_560]) ).
cnf(i_0_3963,plain,
vempty != vbind(X1,X2,X3),
inference(rename_variables,[],[i_0_527]) ).
cnf(i_0_778,plain,
epred2_4(vsubst(X1,X2,vvar(X3)),vvar(X3),X2,X1),
inference(scs_inference,[],[i_0_557,i_0_523,i_0_559,i_0_563,i_0_710]) ).
cnf(i_0_781,plain,
epred4_2(vreduce(vabs(X1,X2,X3)),vabs(X1,X2,X3)),
inference(scs_inference,[],[i_0_557,i_0_517,i_0_523,i_0_559,i_0_563,i_0_710,i_0_757]) ).
cnf(i_0_784,plain,
~ visFreeVar(vgensym(vnoType),vlookup(esk32_0,esk34_0)),
inference(scs_inference,[],[i_0_557,i_0_765,i_0_517,i_0_523,i_0_559,i_0_563,i_0_710,i_0_757,i_0_697]) ).
cnf(i_0_785,plain,
~ visFreeVar(vgensym(X1),X1),
inference(rename_variables,[],[i_0_765]) ).
cnf(i_0_786,plain,
vsomeExp(X1) != vnoExp,
inference(scs_inference,[],[i_0_557,i_0_765,i_0_771,i_0_517,i_0_523,i_0_773,i_0_559,i_0_563,i_0_710,i_0_757,i_0_697,i_0_698]) ).
cnf(i_0_787,plain,
esk34_0 != vbind(esk32_0,esk33_0,esk34_0),
inference(scs_inference,[],[i_0_455,i_0_531,i_0_557,i_0_765,i_0_771,i_0_517,i_0_523,i_0_773,i_0_559,i_0_563,i_0_710,i_0_757,i_0_697,i_0_698,i_0_699]) ).
cnf(i_0_788,plain,
vsomeType(X1) != vnoType,
inference(scs_inference,[],[i_0_455,i_0_531,i_0_557,i_0_774,i_0_765,i_0_771,i_0_772,i_0_517,i_0_523,i_0_773,i_0_559,i_0_563,i_0_710,i_0_757,i_0_697,i_0_698,i_0_699,i_0_707]) ).
cnf(i_0_799,plain,
epred4_2(vreduce(vvar(X1)),vvar(X1)),
inference(scs_inference,[],[i_0_546,i_0_757]) ).
cnf(i_0_822,plain,
epred4_2(vreduce(vabs(X1,X2,X3)),vabs(X1,X2,X3)),
inference(equality_inference,[],[811]) ).
cnf(i_0_839,plain,
epred2_4(vsubst(X1,X2,vvar(X3)),vvar(X3),X2,X1),
inference(equality_inference,[],[823]) ).
cnf(i_0_840,plain,
epred4_2(vreduce(vvar(X1)),vvar(X1)),
inference(equality_inference,[],[826]) ).
cnf(i_0_1941,plain,
visValue(vabs(X1,X2,X3)),
inference(rename_variables,[],[i_0_756]) ).
cnf(i_0_1986,plain,
visValue(vabs(X1,X2,X3)),
inference(rename_variables,[],[i_0_756]) ).
cnf(i_0_2030,plain,
visValue(vabs(X1,X2,X3)),
inference(rename_variables,[],[i_0_756]) ).
cnf(i_0_3977,plain,
~ visFreeVar(vgensym(X1),X1),
inference(rename_variables,[],[i_0_765]) ).
cnf(i_0_3980,plain,
~ visFreeVar(vgensym(X1),X1),
inference(rename_variables,[],[i_0_765]) ).
cnf(i_0_802,plain,
vsomeType(X1) != vlookup(esk32_0,esk34_0),
inference(scs_inference,[],[i_0_557,i_0_546,i_0_788,i_0_757,i_0_564]) ).
cnf(i_0_841,plain,
X1 = esk1_3(X1,vempty,vlookup(X1,vempty)),
inference(scs_inference,[],[i_0_527,i_0_833]) ).
cnf(i_0_843,plain,
~ visFreeVar(esk1_3(vgensym(X1),vempty,vlookup(vgensym(X1),vempty)),X1),
inference(scs_inference,[],[i_0_527,i_0_833,i_0_544]) ).
cnf(i_0_845,plain,
esk1_3(vgensym(X1),vempty,vlookup(vgensym(X1),vempty)) = vgensym(X1),
inference(scs_inference,[],[i_0_527,i_0_833,i_0_544,i_0_563]) ).
cnf(i_0_1201,plain,
vsomeType(X1) != vnoType,
inference(rename_variables,[],[i_0_788]) ).
cnf(i_0_1205,plain,
vsomeType(X1) != vnoType,
inference(rename_variables,[],[i_0_788]) ).
cnf(i_0_1209,plain,
vsomeType(X1) != vnoType,
inference(rename_variables,[],[i_0_788]) ).
cnf(i_0_1213,plain,
vsomeType(X1) != vnoType,
inference(rename_variables,[],[i_0_788]) ).
cnf(i_0_1217,plain,
vsomeType(X1) != vnoType,
inference(rename_variables,[],[i_0_788]) ).
cnf(i_0_1221,plain,
vsomeType(X1) != vnoType,
inference(rename_variables,[],[i_0_788]) ).
cnf(i_0_1787,plain,
vsomeExp(X1) != vnoExp,
inference(rename_variables,[],[i_0_786]) ).
cnf(i_0_1799,plain,
epred4_2(vreduce(vvar(X1)),vvar(X1)),
inference(rename_variables,[],[i_0_799]) ).
cnf(i_0_1931,plain,
vsomeExp(X1) != vnoExp,
inference(rename_variables,[],[i_0_786]) ).
cnf(i_0_809,plain,
~ vtcheck(vbind(esk32_0,esk33_0,esk34_0),vapp(ve1app,ve2app),esk35_0),
inference(equality_inference,[],[803]) ).
cnf(i_0_810,plain,
~ vtcheck(vbind(esk32_0,esk33_0,esk34_0),vapp(ve1app,ve2app),esk35_0),
inference(equality_inference,[],[804]) ).
cnf(i_0_852,plain,
X1 = esk1_3(X1,vempty,vlookup(X1,vempty)),
inference(rename_variables,[],[i_0_841]) ).
cnf(i_0_857,plain,
X1 = esk1_3(X1,vempty,vlookup(X1,vempty)),
inference(rename_variables,[],[i_0_841]) ).
cnf(i_0_860,plain,
X1 = esk1_3(X1,vempty,vlookup(X1,vempty)),
inference(rename_variables,[],[i_0_841]) ).
cnf(i_0_862,plain,
X1 = esk1_3(X1,vempty,vlookup(X1,vempty)),
inference(rename_variables,[],[i_0_841]) ).
cnf(i_0_865,plain,
X1 = esk1_3(X1,vempty,vlookup(X1,vempty)),
inference(rename_variables,[],[i_0_841]) ).
cnf(i_0_868,plain,
X1 = esk1_3(X1,vempty,vlookup(X1,vempty)),
inference(rename_variables,[],[i_0_841]) ).
cnf(i_0_871,plain,
X1 = esk1_3(X1,vempty,vlookup(X1,vempty)),
inference(rename_variables,[],[i_0_841]) ).
cnf(i_0_907,plain,
X1 = esk1_3(X1,vempty,vlookup(X1,vempty)),
inference(rename_variables,[],[i_0_841]) ).
cnf(i_0_981,plain,
X1 = esk1_3(X1,vempty,vlookup(X1,vempty)),
inference(rename_variables,[],[i_0_841]) ).
cnf(i_0_994,plain,
X1 = esk1_3(X1,vempty,vlookup(X1,vempty)),
inference(rename_variables,[],[i_0_841]) ).
cnf(i_0_999,plain,
X1 = esk1_3(X1,vempty,vlookup(X1,vempty)),
inference(rename_variables,[],[i_0_841]) ).
cnf(i_0_1024,plain,
X1 = esk1_3(X1,vempty,vlookup(X1,vempty)),
inference(rename_variables,[],[i_0_841]) ).
cnf(i_0_1034,plain,
X1 = esk1_3(X1,vempty,vlookup(X1,vempty)),
inference(rename_variables,[],[i_0_841]) ).
cnf(i_0_1053,plain,
X1 = esk1_3(X1,vempty,vlookup(X1,vempty)),
inference(rename_variables,[],[i_0_841]) ).
cnf(i_0_1062,plain,
X1 = esk1_3(X1,vempty,vlookup(X1,vempty)),
inference(rename_variables,[],[i_0_841]) ).
cnf(i_0_1064,plain,
X1 = esk1_3(X1,vempty,vlookup(X1,vempty)),
inference(rename_variables,[],[i_0_841]) ).
cnf(i_0_1065,plain,
X1 = esk1_3(X1,vempty,vlookup(X1,vempty)),
inference(rename_variables,[],[i_0_841]) ).
cnf(i_0_1096,plain,
X1 = esk1_3(X1,vempty,vlookup(X1,vempty)),
inference(rename_variables,[],[i_0_841]) ).
cnf(i_0_1097,plain,
X1 = esk1_3(X1,vempty,vlookup(X1,vempty)),
inference(rename_variables,[],[i_0_841]) ).
cnf(i_0_1104,plain,
X1 = esk1_3(X1,vempty,vlookup(X1,vempty)),
inference(rename_variables,[],[i_0_841]) ).
cnf(i_0_1107,plain,
X1 = esk1_3(X1,vempty,vlookup(X1,vempty)),
inference(rename_variables,[],[i_0_841]) ).
cnf(i_0_1109,plain,
X1 = esk1_3(X1,vempty,vlookup(X1,vempty)),
inference(rename_variables,[],[i_0_841]) ).
cnf(i_0_1135,plain,
X1 = esk1_3(X1,vempty,vlookup(X1,vempty)),
inference(rename_variables,[],[i_0_841]) ).
cnf(i_0_1156,plain,
X1 = esk1_3(X1,vempty,vlookup(X1,vempty)),
inference(rename_variables,[],[i_0_841]) ).
cnf(c_0_791,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) ),
i_0_352 ).
cnf(c_0_792,negated_conjecture,
vtcheck(esk34_0,vapp(ve1app,ve2app),esk35_0),
i_0_531 ).
cnf(c_0_793,plain,
vabs(X1,X2,X3) != vapp(X4,X5),
i_0_517 ).
cnf(c_0_794,plain,
vvar(X1) != vapp(X2,X3),
i_0_546 ).
cnf(c_0_795,plain,
( X1 = X2
| vapp(X1,X3) != vapp(X2,X4) ),
i_0_539 ).
cnf(c_0_796,negated_conjecture,
vapp(esk29_3(vapp(ve1app,ve2app),esk35_0,esk34_0),esk30_3(vapp(ve1app,ve2app),esk35_0,esk34_0)) = vapp(ve1app,ve2app),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_791,c_0_792]),c_0_793]),c_0_794]) ).
cnf(c_0_797,plain,
( esk29_3(vapp(ve1app,ve2app),esk35_0,esk34_0) = X1
| vapp(ve1app,ve2app) != vapp(X1,X2) ),
inference(spm,[status(thm)],[c_0_795,c_0_796]) ).
cnf(c_0_798,plain,
esk29_3(vapp(ve1app,ve2app),esk35_0,esk34_0) = ve1app,
inference(er,[status(thm)],[c_0_797]) ).
cnf(c_0_799,plain,
( X1 = X2
| vapp(X3,X1) != vapp(X4,X2) ),
i_0_540 ).
cnf(c_0_800,negated_conjecture,
vapp(ve1app,esk30_3(vapp(ve1app,ve2app),esk35_0,esk34_0)) = vapp(ve1app,ve2app),
inference(rw,[status(thm)],[c_0_796,c_0_798]) ).
cnf(c_0_801,plain,
( vtcheck(X1,vapp(X2,X3),X4)
| ~ vtcheck(X1,X2,varrow(X5,X4))
| ~ vtcheck(X1,X3,X5) ),
i_0_449 ).
cnf(c_0_802,plain,
( vtcheck(vbind(X1,X2,X3),ve1app,X4)
| vlookup(X1,X3) != vnoType
| ~ vtcheck(X3,ve1app,X4) ),
i_0_457 ).
cnf(c_0_803,plain,
( esk30_3(vapp(ve1app,ve2app),esk35_0,esk34_0) = X1
| vapp(ve1app,ve2app) != vapp(X2,X1) ),
inference(spm,[status(thm)],[c_0_799,c_0_800]) ).
cnf(c_0_804,plain,
( vtcheck(vbind(X1,X2,X3),vapp(ve1app,X4),X5)
| vlookup(X1,X3) != vnoType
| ~ vtcheck(vbind(X1,X2,X3),X4,X6)
| ~ vtcheck(X3,ve1app,varrow(X6,X5)) ),
inference(spm,[status(thm)],[c_0_801,c_0_802]) ).
cnf(c_0_805,plain,
( vtcheck(vbind(X1,X2,X3),ve2app,X4)
| vlookup(X1,X3) != vnoType
| ~ vtcheck(X3,ve2app,X4) ),
i_0_456 ).
cnf(c_0_806,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) ),
i_0_331 ).
cnf(c_0_807,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) ),
i_0_347 ).
cnf(c_0_808,plain,
esk30_3(vapp(ve1app,ve2app),esk35_0,esk34_0) = ve2app,
inference(er,[status(thm)],[c_0_803]) ).
cnf(c_0_809,plain,
( vtcheck(vbind(X1,X2,X3),vapp(ve1app,ve2app),X4)
| vlookup(X1,X3) != vnoType
| ~ vtcheck(X3,ve1app,varrow(X5,X4))
| ~ vtcheck(X3,ve2app,X5) ),
inference(spm,[status(thm)],[c_0_804,c_0_805]) ).
cnf(c_0_810,negated_conjecture,
vtcheck(esk34_0,ve1app,varrow(esk31_3(vapp(ve1app,ve2app),esk35_0,esk34_0),esk35_0)),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_806,c_0_792]),c_0_798]),c_0_793]),c_0_794]) ).
cnf(c_0_811,negated_conjecture,
vtcheck(esk34_0,ve2app,esk31_3(vapp(ve1app,ve2app),esk35_0,esk34_0)),
inference(rw,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_807,c_0_792]),c_0_793]),c_0_794]),c_0_808]) ).
cnf(c_0_812,negated_conjecture,
~ vtcheck(vbind(esk32_0,esk33_0,esk34_0),vapp(ve1app,ve2app),esk35_0),
i_0_455 ).
cnf(c_0_813,negated_conjecture,
( vtcheck(vbind(X1,X2,esk34_0),vapp(ve1app,ve2app),esk35_0)
| vlookup(X1,esk34_0) != vnoType ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_809,c_0_810]),c_0_811])]) ).
cnf(c_0_814,plain,
vnoType = vlookup(esk32_0,esk34_0),
i_0_777 ).
cnf(c_0_815,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_812,c_0_813]),c_0_814])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : COM142+1 : TPTP v9.2.1. Released v6.4.0.
% 0.00/0.11 % Command : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.15/0.32 % Computer : n006.cluster.edu
% 0.15/0.32 % Model : x86_64 x86_64
% 0.15/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.32 % Memory : 8042.1875MB
% 0.15/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.32 % CPULimit : 300
% 0.15/0.32 % WCLimit : 300
% 0.15/0.32 % DateTime : Mon May 4 16:21:46 EDT 2026
% 0.15/0.33 % CPUTime :
% 0.15/0.34 % start to proof: theBenchmark
% 182.03/110.78 % Version : CSE_E---1.7
% 182.03/110.78 % Problem : theBenchmark.p
% 182.03/110.78 % SZS status Theorem for theBenchmark.p
% 182.03/110.78 % SZS output start CNFRefutation
% See solution above
% 199.93/128.68 % Total time : 109.250s
%------------------------------------------------------------------------------