%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : COM137+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 : n001.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 04:13:19 PM UTC 2026
% Result : Theorem 137.68s 93.98s
% Output : CNFRefutation 153.18s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named c_0_57)
% Comments :
%------------------------------------------------------------------------------
fof('subst-INV',axiom,
! [X1,X4,X6,X19] :
( vsubst(X1,X4,X6) = X19
=> ( ? [X9,X21,X11] :
( X1 = X9
& X4 = X11
& X6 = vvar(X21)
& X9 = X21
& X19 = X11 )
| ? [X11,X9,X21] :
( X1 = X9
& X4 = X11
& X6 = vvar(X21)
& X9 != X21
& X19 = vvar(X21) )
| ? [X12,X9,X11,X13] :
( X1 = X9
& X4 = X11
& X6 = vapp(X12,X13)
& X19 = vapp(vsubst(X9,X11,X12),vsubst(X9,X11,X13)) )
| ? [X11,X9,X21,X15,X12] :
( X1 = X9
& X4 = X11
& X6 = vabs(X21,X15,X12)
& X9 = X21
& X19 = vabs(X21,X15,X12) )
| ? [X9,X11,X15,X21,X24,X12] :
( X1 = X9
& X4 = X11
& X6 = vabs(X21,X15,X12)
& X9 != X21
& visFreeVar(X21,X11)
& X24 = vgensym(vapp(vapp(X11,X12),vvar(X9)))
& X19 = vsubst(X9,X11,vabs(X24,X15,vsubst(X21,vvar(X24),X12))) )
| ? [X21,X15,X9,X11,X12] :
( X1 = X9
& X4 = X11
& X6 = vabs(X21,X15,X12)
& X9 != X21
& ~ visFreeVar(X21,X11)
& X19 = vabs(X21,X15,vsubst(X9,X11,X12)) ) ) ),
file('/export/starexec/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-Strong-app-IH2',axiom,
! [X9,X10,X20,X15] :
( ( ~ visFreeVar(X9,ve2app)
& vtcheck(vbind(X9,X10,X20),ve2app,X15) )
=> vtcheck(X20,ve2app,X15) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','T-Strong-app-IH2') ).
fof('T-Strong-app-IH1',axiom,
! [X9,X10,X20,X15] :
( ( ~ visFreeVar(X9,ve1app)
& vtcheck(vbind(X9,X10,X20),ve1app,X15) )
=> vtcheck(X20,ve1app,X15) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','T-Strong-app-IH1') ).
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('T-Strong-app',conjecture,
! [X9,X10,X20,X15] :
( ( ~ visFreeVar(X9,vapp(ve1app,ve2app))
& vtcheck(vbind(X9,X10,X20),vapp(ve1app,ve2app),X15) )
=> vtcheck(X20,vapp(ve1app,ve2app),X15) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','T-Strong-app') ).
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',axiom,
! [X9,X10,X20,X11,X15] :
( ( vlookup(X9,X20) = vnoType
& vtcheck(X20,X11,X15) )
=> vtcheck(vbind(X9,X10,X20),X11,X15) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','T-Weak') ).
fof(subst3,axiom,
! [X11,X9,X1,X4,X6,X19,X21,X15,X12] :
( ( X1 = X9
& X4 = X11
& X6 = vabs(X21,X15,X12) )
=> ( X9 = X21
=> ( X19 = vsubst(X1,X4,X6)
=> X19 = vabs(X21,X15,X12) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/COM001+0.ax',subst3) ).
fof('EQ-bind',axiom,
! [X1,X3,X16,X2,X5,X17] :
( ( vbind(X1,X3,X16) = vbind(X2,X5,X17)
=> ( X1 = X2
& X3 = X5
& X16 = X17 ) )
& ( ( X1 = X2
& X3 = X5
& X16 = X17 )
=> vbind(X1,X3,X16) = vbind(X2,X5,X17) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/COM001+0.ax','EQ-bind') ).
fof('EQ-abs',axiom,
! [X1,X3,X4,X2,X5,X6] :
( ( vabs(X1,X3,X4) = vabs(X2,X5,X6)
=> ( X1 = X2
& X3 = X5
& X4 = X6 ) )
& ( ( X1 = X2
& X3 = X5
& X4 = X6 )
=> vabs(X1,X3,X4) = vabs(X2,X5,X6) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/COM001+0.ax','EQ-abs') ).
fof(lookup2,axiom,
! [X22,X21,X1,X16,X19,X9,X20] :
( ( X1 = X9
& X16 = vbind(X21,X22,X20) )
=> ( X9 != X21
=> ( X19 = vlookup(X1,X16)
=> X19 = vlookup(X9,X20) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/COM001+0.ax',lookup2) ).
fof(isFreeVar1,axiom,
! [X15,X1,X4,X9,X14,X11] :
( ( X1 = X14
& X4 = vabs(X9,X15,X11) )
=> ( ( ( X9 != X14
& visFreeVar(X14,X11) )
=> visFreeVar(X1,X4) )
& ( visFreeVar(X1,X4)
=> ( X9 != X14
& visFreeVar(X14,X11) ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/COM001+0.ax',isFreeVar1) ).
fof(lookup1,axiom,
! [X20,X9,X21,X1,X16,X19,X22] :
( ( X1 = X9
& X16 = vbind(X21,X22,X20) )
=> ( X9 = X21
=> ( X19 = vlookup(X1,X16)
=> X19 = vsomeType(X22) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/COM001+0.ax',lookup1) ).
fof(subst1,axiom,
! [X11,X9,X1,X4,X6,X19,X21] :
( ( X1 = X9
& X4 = X11
& X6 = vvar(X21) )
=> ( X9 != X21
=> ( X19 = vsubst(X1,X4,X6)
=> X19 = vvar(X21) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/COM001+0.ax',subst1) ).
fof(subst0,axiom,
! [X9,X21,X1,X4,X6,X19,X11] :
( ( X1 = X9
& X4 = X11
& X6 = vvar(X21) )
=> ( X9 = X21
=> ( X19 = vsubst(X1,X4,X6)
=> X19 = X11 ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/COM001+0.ax',subst0) ).
fof('DIFF-abs-app',axiom,
! [X1,X3,X4,X6,X7] : vabs(X1,X3,X4) != vapp(X6,X7),
file('/export/starexec/sandbox/benchmark/Axioms/COM001+0.ax','DIFF-abs-app') ).
fof(reduce1,axiom,
! [X9,X10,X11,X4,X19] :
( X4 = vabs(X9,X10,X11)
=> ( X19 = vreduce(X4)
=> X19 = vnoExp ) ),
file('/export/starexec/sandbox/benchmark/Axioms/COM001+0.ax',reduce1) ).
fof('DIFF-var-abs',axiom,
! [X1,X2,X3,X4] : vvar(X1) != vabs(X2,X3,X4),
file('/export/starexec/sandbox/benchmark/Axioms/COM001+0.ax','DIFF-var-abs') ).
fof(isValue0,axiom,
! [X9,X10,X11,X4] :
( X4 = vabs(X9,X10,X11)
=> visValue(X4) ),
file('/export/starexec/sandbox/benchmark/Axioms/COM001+0.ax',isValue0) ).
fof('T-var',axiom,
! [X20,X9,X15] :
( vlookup(X9,X20) = vsomeType(X15)
=> vtcheck(X20,vvar(X9),X15) ),
file('/export/starexec/sandbox/benchmark/Axioms/COM001+0.ax','T-var') ).
fof('DIFF-empty-bind',axiom,
! [X1,X3,X16] : vempty != vbind(X1,X3,X16),
file('/export/starexec/sandbox/benchmark/Axioms/COM001+0.ax','DIFF-empty-bind') ).
fof(isFreeVar2,axiom,
! [X1,X4,X12,X14,X13] :
( ( X1 = X14
& X4 = vapp(X12,X13) )
=> ( ( ( visFreeVar(X14,X12)
| visFreeVar(X14,X13) )
=> visFreeVar(X1,X4) )
& ( visFreeVar(X1,X4)
=> ( visFreeVar(X14,X12)
| visFreeVar(X14,X13) ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/COM001+0.ax',isFreeVar2) ).
fof('EQ-arrow',axiom,
! [X3,X5,X31,X32] :
( ( varrow(X3,X5) = varrow(X31,X32)
=> ( X3 = X31
& X5 = X32 ) )
& ( ( X3 = X31
& X5 = X32 )
=> varrow(X3,X5) = varrow(X31,X32) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/COM001+0.ax','EQ-arrow') ).
fof('EQ-app',axiom,
! [X4,X6,X7,X8] :
( ( vapp(X4,X6) = vapp(X7,X8)
=> ( X4 = X7
& X6 = X8 ) )
& ( ( X4 = X7
& X6 = X8 )
=> vapp(X4,X6) = vapp(X7,X8) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/COM001+0.ax','EQ-app') ).
fof(isFreeVar0,axiom,
! [X1,X4,X9,X14] :
( ( X1 = X14
& X4 = vvar(X9) )
=> ( ( X9 = X14
=> visFreeVar(X1,X4) )
& ( visFreeVar(X1,X4)
=> X9 = X14 ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/COM001+0.ax',isFreeVar0) ).
fof(lookup0,axiom,
! [X9,X1,X16,X19] :
( ( X1 = X9
& X16 = vempty )
=> ( X19 = vlookup(X1,X16)
=> X19 = vnoType ) ),
file('/export/starexec/sandbox/benchmark/Axioms/COM001+0.ax',lookup0) ).
fof('DIFF-var-app',axiom,
! [X1,X4,X6] : vvar(X1) != vapp(X4,X6),
file('/export/starexec/sandbox/benchmark/Axioms/COM001+0.ax','DIFF-var-app') ).
fof(getSomeExp0,axiom,
! [X25,X19,X11] :
( X25 = vsomeExp(X11)
=> ( X19 = vgetSomeExp(X25)
=> X19 = X11 ) ),
file('/export/starexec/sandbox/benchmark/Axioms/COM001+0.ax',getSomeExp0) ).
fof(getSomeType0,axiom,
! [X18,X19,X11] :
( X18 = vsomeType(X11)
=> ( X19 = vgetSomeType(X18)
=> X19 = X11 ) ),
file('/export/starexec/sandbox/benchmark/Axioms/COM001+0.ax',getSomeType0) ).
fof(reduce0,axiom,
! [X9,X4,X19] :
( X4 = vvar(X9)
=> ( X19 = vreduce(X4)
=> X19 = vnoExp ) ),
file('/export/starexec/sandbox/benchmark/Axioms/COM001+0.ax',reduce0) ).
fof('EQ-someExp',axiom,
! [X4,X6] :
( ( vsomeExp(X4) = vsomeExp(X6)
=> X4 = X6 )
& ( X4 = X6
=> vsomeExp(X4) = vsomeExp(X6) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/COM001+0.ax','EQ-someExp') ).
fof('EQ-someType',axiom,
! [X3,X5] :
( ( vsomeType(X3) = vsomeType(X5)
=> X3 = X5 )
& ( X3 = X5
=> vsomeType(X3) = vsomeType(X5) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/COM001+0.ax','EQ-someType') ).
fof('EQ-var',axiom,
! [X1,X2] :
( ( vvar(X1) = vvar(X2)
=> X1 = X2 )
& ( X1 = X2
=> vvar(X1) = vvar(X2) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/COM001+0.ax','EQ-var') ).
fof(isSomeExp1,axiom,
! [X11,X25] :
( X25 = vsomeExp(X11)
=> visSomeExp(X25) ),
file('/export/starexec/sandbox/benchmark/Axioms/COM001+0.ax',isSomeExp1) ).
fof(isSomeType1,axiom,
! [X11,X18] :
( X18 = vsomeType(X11)
=> visSomeType(X18) ),
file('/export/starexec/sandbox/benchmark/Axioms/COM001+0.ax',isSomeType1) ).
fof('DIFF-noExp-someExp',axiom,
! [X4] : vnoExp != vsomeExp(X4),
file('/export/starexec/sandbox/benchmark/Axioms/COM001+0.ax','DIFF-noExp-someExp') ).
fof('DIFF-noType-someType',axiom,
! [X3] : vnoType != vsomeType(X3),
file('/export/starexec/sandbox/benchmark/Axioms/COM001+0.ax','DIFF-noType-someType') ).
fof(i_0_55,plain,
! [X4,X19] :
( epred3_2(X19,X4)
<=> ( ? [X9] :
( X4 = vvar(X9)
& X19 = vnoExp )
| ? [X9,X10,X11] :
( X4 = vabs(X9,X10,X11)
& X19 = vnoExp )
| ? [X13,X9,X10,X12,X26] :
( X4 = vapp(vabs(X9,X10,X12),X13)
& X26 = vreduce(X13)
& visSomeExp(X26)
& X19 = vsomeExp(vapp(vabs(X9,X10,X12),vgetSomeExp(X26))) )
| ? [X10,X26,X9,X13,X12] :
( X4 = vapp(vabs(X9,X10,X12),X13)
& X26 = vreduce(X13)
& ~ visSomeExp(X26)
& visValue(X13)
& X19 = vsomeExp(vsubst(X9,X13,X12)) ) ) ),
introduced(definition) ).
fof(i_0_56,plain,
! [X1,X4,X6,X19] :
( epred2_4(X19,X6,X4,X1)
<=> ( ? [X9,X21,X11] :
( X1 = X9
& X4 = X11
& X6 = vvar(X21)
& X9 = X21
& X19 = X11 )
| ? [X11,X9,X21] :
( X1 = X9
& X4 = X11
& X6 = vvar(X21)
& X9 != X21
& X19 = vvar(X21) )
| ? [X12,X9,X11,X13] :
( X1 = X9
& X4 = X11
& X6 = vapp(X12,X13)
& X19 = vapp(vsubst(X9,X11,X12),vsubst(X9,X11,X13)) )
| ? [X11,X9,X21,X15,X12] :
( X1 = X9
& X4 = X11
& X6 = vabs(X21,X15,X12)
& X9 = X21
& X19 = vabs(X21,X15,X12) )
| ? [X9,X11,X15,X21,X24,X12] :
( X1 = X9
& X4 = X11
& X6 = vabs(X21,X15,X12)
& X9 != X21
& visFreeVar(X21,X11)
& X24 = vgensym(vapp(vapp(X11,X12),vvar(X9)))
& X19 = vsubst(X9,X11,vabs(X24,X15,vsubst(X21,vvar(X24),X12))) ) ) ),
introduced(definition) ).
fof(i_0_57,plain,
! [X1,X4,X6,X19] :
( epred1_4(X19,X6,X4,X1)
<=> ( ? [X9,X21,X11] :
( X1 = X9
& X4 = X11
& X6 = vvar(X21)
& X9 = X21
& X19 = X11 )
| ? [X11,X9,X21] :
( X1 = X9
& X4 = X11
& X6 = vvar(X21)
& X9 != X21
& X19 = vvar(X21) ) ) ),
introduced(definition) ).
fof(i_0_58,plain,
! [X4,X19] :
( epred3_2(X19,X4)
=> ( ? [X9] :
( X4 = vvar(X9)
& X19 = vnoExp )
| ? [X9,X10,X11] :
( X4 = vabs(X9,X10,X11)
& X19 = vnoExp )
| ? [X13,X9,X10,X12,X26] :
( X4 = vapp(vabs(X9,X10,X12),X13)
& X26 = vreduce(X13)
& visSomeExp(X26)
& X19 = vsomeExp(vapp(vabs(X9,X10,X12),vgetSomeExp(X26))) )
| ? [X10,X26,X9,X13,X12] :
( X4 = vapp(vabs(X9,X10,X12),X13)
& X26 = vreduce(X13)
& ~ visSomeExp(X26)
& visValue(X13)
& X19 = vsomeExp(vsubst(X9,X13,X12)) ) ) ),
inference(split_equiv,[status(thm)],[i_0_55]) ).
fof(i_0_59,plain,
! [X4,X19] :
( epred4_2(X19,X4)
<=> ( ? [X9] :
( X4 = vvar(X9)
& X19 = vnoExp )
| ? [X9,X10,X11] :
( X4 = vabs(X9,X10,X11)
& X19 = vnoExp )
| ? [X13,X9,X10,X12,X26] :
( X4 = vapp(vabs(X9,X10,X12),X13)
& X26 = vreduce(X13)
& visSomeExp(X26)
& X19 = vsomeExp(vapp(vabs(X9,X10,X12),vgetSomeExp(X26))) )
| ? [X10,X26,X9,X13,X12] :
( X4 = vapp(vabs(X9,X10,X12),X13)
& X26 = vreduce(X13)
& ~ visSomeExp(X26)
& visValue(X13)
& X19 = vsomeExp(vsubst(X9,X13,X12)) )
| ? [X9,X10,X12,X26,X13] :
( X4 = vapp(vabs(X9,X10,X12),X13)
& X26 = vreduce(X13)
& ~ visSomeExp(X26)
& ~ visValue(X13)
& X19 = vnoExp )
| ? [X12,X27,X13] :
( X4 = vapp(X12,X13)
& ! [X28,X29,X30] : X12 != vabs(X28,X29,X30)
& X27 = vreduce(X12)
& visSomeExp(X27)
& X19 = vsomeExp(vapp(vgetSomeExp(X27),X13)) ) ) ),
introduced(definition) ).
fof(i_0_60,plain,
! [X1,X4,X6,X19] :
( epred2_4(X19,X6,X4,X1)
=> ( epred1_4(X19,X6,X4,X1)
| ? [X12,X9,X11,X13] :
( X1 = X9
& X4 = X11
& X6 = vapp(X12,X13)
& X19 = vapp(vsubst(X9,X11,X12),vsubst(X9,X11,X13)) )
| ? [X11,X9,X21,X15,X12] :
( X1 = X9
& X4 = X11
& X6 = vabs(X21,X15,X12)
& X9 = X21
& X19 = vabs(X21,X15,X12) )
| ? [X9,X11,X15,X21,X24,X12] :
( X1 = X9
& X4 = X11
& X6 = vabs(X21,X15,X12)
& X9 != X21
& visFreeVar(X21,X11)
& X24 = vgensym(vapp(vapp(X11,X12),vvar(X9)))
& X19 = vsubst(X9,X11,vabs(X24,X15,vsubst(X21,vvar(X24),X12))) ) ) ),
inference(apply_def,[status(thm)],[inference(split_equiv,[status(thm)],[i_0_56]),c_0_57]) ).
fof(i_0_61,plain,
! [X1,X4,X6,X19] :
( vsubst(X1,X4,X6) = X19
=> ( epred2_4(X19,X6,X4,X1)
| ? [X21,X15,X9,X11,X12] :
( X1 = X9
& X4 = X11
& X6 = vabs(X21,X15,X12)
& X9 != X21
& ~ visFreeVar(X21,X11)
& X19 = vabs(X21,X15,vsubst(X9,X11,X12)) ) ) ),
inference(apply_def,[status(thm)],[inference(fof_simplification,[status(thm)],['subst-INV']),c_0_56]) ).
fof(i_0_62,plain,
! [X1,X4,X6,X19] :
( epred1_4(X19,X6,X4,X1)
=> ( ? [X9,X21,X11] :
( X1 = X9
& X4 = X11
& X6 = vvar(X21)
& X9 = X21
& X19 = X11 )
| ? [X11,X9,X21] :
( X1 = X9
& X4 = X11
& X6 = vvar(X21)
& X9 != X21
& X19 = vvar(X21) ) ) ),
inference(split_equiv,[status(thm)],[i_0_57]) ).
fof(i_0_63,plain,
! [X13,X12,X27,X4,X19] :
( ( X4 = vapp(X12,X13)
& ! [X28,X29,X30] : X12 != vabs(X28,X29,X30) )
=> ( ( X27 = vreduce(X12)
& ~ visSomeExp(X27) )
=> ( X19 = vreduce(X4)
=> X19 = vnoExp ) ) ),
inference(fof_simplification,[status(thm)],[reduce6]) ).
fof(i_0_64,plain,
! [X666,X667] :
( ( X666 = vapp(vabs(esk68_2(X666,X667),esk66_2(X666,X667),esk70_2(X666,X667)),esk69_2(X666,X667))
| X666 = vapp(vabs(esk62_2(X666,X667),esk63_2(X666,X667),esk64_2(X666,X667)),esk61_2(X666,X667))
| X666 = vabs(esk58_2(X666,X667),esk59_2(X666,X667),esk60_2(X666,X667))
| X666 = vvar(esk57_2(X666,X667))
| ~ epred3_2(X667,X666) )
& ( esk67_2(X666,X667) = vreduce(esk69_2(X666,X667))
| X666 = vapp(vabs(esk62_2(X666,X667),esk63_2(X666,X667),esk64_2(X666,X667)),esk61_2(X666,X667))
| X666 = vabs(esk58_2(X666,X667),esk59_2(X666,X667),esk60_2(X666,X667))
| X666 = vvar(esk57_2(X666,X667))
| ~ epred3_2(X667,X666) )
& ( ~ visSomeExp(esk67_2(X666,X667))
| X666 = vapp(vabs(esk62_2(X666,X667),esk63_2(X666,X667),esk64_2(X666,X667)),esk61_2(X666,X667))
| X666 = vabs(esk58_2(X666,X667),esk59_2(X666,X667),esk60_2(X666,X667))
| X666 = vvar(esk57_2(X666,X667))
| ~ epred3_2(X667,X666) )
& ( visValue(esk69_2(X666,X667))
| X666 = vapp(vabs(esk62_2(X666,X667),esk63_2(X666,X667),esk64_2(X666,X667)),esk61_2(X666,X667))
| X666 = vabs(esk58_2(X666,X667),esk59_2(X666,X667),esk60_2(X666,X667))
| X666 = vvar(esk57_2(X666,X667))
| ~ epred3_2(X667,X666) )
& ( X667 = vsomeExp(vsubst(esk68_2(X666,X667),esk69_2(X666,X667),esk70_2(X666,X667)))
| X666 = vapp(vabs(esk62_2(X666,X667),esk63_2(X666,X667),esk64_2(X666,X667)),esk61_2(X666,X667))
| X666 = vabs(esk58_2(X666,X667),esk59_2(X666,X667),esk60_2(X666,X667))
| X666 = vvar(esk57_2(X666,X667))
| ~ epred3_2(X667,X666) )
& ( X666 = vapp(vabs(esk68_2(X666,X667),esk66_2(X666,X667),esk70_2(X666,X667)),esk69_2(X666,X667))
| esk65_2(X666,X667) = vreduce(esk61_2(X666,X667))
| X666 = vabs(esk58_2(X666,X667),esk59_2(X666,X667),esk60_2(X666,X667))
| X666 = vvar(esk57_2(X666,X667))
| ~ epred3_2(X667,X666) )
& ( esk67_2(X666,X667) = vreduce(esk69_2(X666,X667))
| esk65_2(X666,X667) = vreduce(esk61_2(X666,X667))
| X666 = vabs(esk58_2(X666,X667),esk59_2(X666,X667),esk60_2(X666,X667))
| X666 = vvar(esk57_2(X666,X667))
| ~ epred3_2(X667,X666) )
& ( ~ visSomeExp(esk67_2(X666,X667))
| esk65_2(X666,X667) = vreduce(esk61_2(X666,X667))
| X666 = vabs(esk58_2(X666,X667),esk59_2(X666,X667),esk60_2(X666,X667))
| X666 = vvar(esk57_2(X666,X667))
| ~ epred3_2(X667,X666) )
& ( visValue(esk69_2(X666,X667))
| esk65_2(X666,X667) = vreduce(esk61_2(X666,X667))
| X666 = vabs(esk58_2(X666,X667),esk59_2(X666,X667),esk60_2(X666,X667))
| X666 = vvar(esk57_2(X666,X667))
| ~ epred3_2(X667,X666) )
& ( X667 = vsomeExp(vsubst(esk68_2(X666,X667),esk69_2(X666,X667),esk70_2(X666,X667)))
| esk65_2(X666,X667) = vreduce(esk61_2(X666,X667))
| X666 = vabs(esk58_2(X666,X667),esk59_2(X666,X667),esk60_2(X666,X667))
| X666 = vvar(esk57_2(X666,X667))
| ~ epred3_2(X667,X666) )
& ( X666 = vapp(vabs(esk68_2(X666,X667),esk66_2(X666,X667),esk70_2(X666,X667)),esk69_2(X666,X667))
| visSomeExp(esk65_2(X666,X667))
| X666 = vabs(esk58_2(X666,X667),esk59_2(X666,X667),esk60_2(X666,X667))
| X666 = vvar(esk57_2(X666,X667))
| ~ epred3_2(X667,X666) )
& ( esk67_2(X666,X667) = vreduce(esk69_2(X666,X667))
| visSomeExp(esk65_2(X666,X667))
| X666 = vabs(esk58_2(X666,X667),esk59_2(X666,X667),esk60_2(X666,X667))
| X666 = vvar(esk57_2(X666,X667))
| ~ epred3_2(X667,X666) )
& ( ~ visSomeExp(esk67_2(X666,X667))
| visSomeExp(esk65_2(X666,X667))
| X666 = vabs(esk58_2(X666,X667),esk59_2(X666,X667),esk60_2(X666,X667))
| X666 = vvar(esk57_2(X666,X667))
| ~ epred3_2(X667,X666) )
& ( visValue(esk69_2(X666,X667))
| visSomeExp(esk65_2(X666,X667))
| X666 = vabs(esk58_2(X666,X667),esk59_2(X666,X667),esk60_2(X666,X667))
| X666 = vvar(esk57_2(X666,X667))
| ~ epred3_2(X667,X666) )
& ( X667 = vsomeExp(vsubst(esk68_2(X666,X667),esk69_2(X666,X667),esk70_2(X666,X667)))
| visSomeExp(esk65_2(X666,X667))
| X666 = vabs(esk58_2(X666,X667),esk59_2(X666,X667),esk60_2(X666,X667))
| X666 = vvar(esk57_2(X666,X667))
| ~ epred3_2(X667,X666) )
& ( X666 = vapp(vabs(esk68_2(X666,X667),esk66_2(X666,X667),esk70_2(X666,X667)),esk69_2(X666,X667))
| X667 = vsomeExp(vapp(vabs(esk62_2(X666,X667),esk63_2(X666,X667),esk64_2(X666,X667)),vgetSomeExp(esk65_2(X666,X667))))
| X666 = vabs(esk58_2(X666,X667),esk59_2(X666,X667),esk60_2(X666,X667))
| X666 = vvar(esk57_2(X666,X667))
| ~ epred3_2(X667,X666) )
& ( esk67_2(X666,X667) = vreduce(esk69_2(X666,X667))
| X667 = vsomeExp(vapp(vabs(esk62_2(X666,X667),esk63_2(X666,X667),esk64_2(X666,X667)),vgetSomeExp(esk65_2(X666,X667))))
| X666 = vabs(esk58_2(X666,X667),esk59_2(X666,X667),esk60_2(X666,X667))
| X666 = vvar(esk57_2(X666,X667))
| ~ epred3_2(X667,X666) )
& ( ~ visSomeExp(esk67_2(X666,X667))
| X667 = vsomeExp(vapp(vabs(esk62_2(X666,X667),esk63_2(X666,X667),esk64_2(X666,X667)),vgetSomeExp(esk65_2(X666,X667))))
| X666 = vabs(esk58_2(X666,X667),esk59_2(X666,X667),esk60_2(X666,X667))
| X666 = vvar(esk57_2(X666,X667))
| ~ epred3_2(X667,X666) )
& ( visValue(esk69_2(X666,X667))
| X667 = vsomeExp(vapp(vabs(esk62_2(X666,X667),esk63_2(X666,X667),esk64_2(X666,X667)),vgetSomeExp(esk65_2(X666,X667))))
| X666 = vabs(esk58_2(X666,X667),esk59_2(X666,X667),esk60_2(X666,X667))
| X666 = vvar(esk57_2(X666,X667))
| ~ epred3_2(X667,X666) )
& ( X667 = vsomeExp(vsubst(esk68_2(X666,X667),esk69_2(X666,X667),esk70_2(X666,X667)))
| X667 = vsomeExp(vapp(vabs(esk62_2(X666,X667),esk63_2(X666,X667),esk64_2(X666,X667)),vgetSomeExp(esk65_2(X666,X667))))
| X666 = vabs(esk58_2(X666,X667),esk59_2(X666,X667),esk60_2(X666,X667))
| X666 = vvar(esk57_2(X666,X667))
| ~ epred3_2(X667,X666) )
& ( X666 = vapp(vabs(esk68_2(X666,X667),esk66_2(X666,X667),esk70_2(X666,X667)),esk69_2(X666,X667))
| X666 = vapp(vabs(esk62_2(X666,X667),esk63_2(X666,X667),esk64_2(X666,X667)),esk61_2(X666,X667))
| X667 = vnoExp
| X666 = vvar(esk57_2(X666,X667))
| ~ epred3_2(X667,X666) )
& ( esk67_2(X666,X667) = vreduce(esk69_2(X666,X667))
| X666 = vapp(vabs(esk62_2(X666,X667),esk63_2(X666,X667),esk64_2(X666,X667)),esk61_2(X666,X667))
| X667 = vnoExp
| X666 = vvar(esk57_2(X666,X667))
| ~ epred3_2(X667,X666) )
& ( ~ visSomeExp(esk67_2(X666,X667))
| X666 = vapp(vabs(esk62_2(X666,X667),esk63_2(X666,X667),esk64_2(X666,X667)),esk61_2(X666,X667))
| X667 = vnoExp
| X666 = vvar(esk57_2(X666,X667))
| ~ epred3_2(X667,X666) )
& ( visValue(esk69_2(X666,X667))
| X666 = vapp(vabs(esk62_2(X666,X667),esk63_2(X666,X667),esk64_2(X666,X667)),esk61_2(X666,X667))
| X667 = vnoExp
| X666 = vvar(esk57_2(X666,X667))
| ~ epred3_2(X667,X666) )
& ( X667 = vsomeExp(vsubst(esk68_2(X666,X667),esk69_2(X666,X667),esk70_2(X666,X667)))
| X666 = vapp(vabs(esk62_2(X666,X667),esk63_2(X666,X667),esk64_2(X666,X667)),esk61_2(X666,X667))
| X667 = vnoExp
| X666 = vvar(esk57_2(X666,X667))
| ~ epred3_2(X667,X666) )
& ( X666 = vapp(vabs(esk68_2(X666,X667),esk66_2(X666,X667),esk70_2(X666,X667)),esk69_2(X666,X667))
| esk65_2(X666,X667) = vreduce(esk61_2(X666,X667))
| X667 = vnoExp
| X666 = vvar(esk57_2(X666,X667))
| ~ epred3_2(X667,X666) )
& ( esk67_2(X666,X667) = vreduce(esk69_2(X666,X667))
| esk65_2(X666,X667) = vreduce(esk61_2(X666,X667))
| X667 = vnoExp
| X666 = vvar(esk57_2(X666,X667))
| ~ epred3_2(X667,X666) )
& ( ~ visSomeExp(esk67_2(X666,X667))
| esk65_2(X666,X667) = vreduce(esk61_2(X666,X667))
| X667 = vnoExp
| X666 = vvar(esk57_2(X666,X667))
| ~ epred3_2(X667,X666) )
& ( visValue(esk69_2(X666,X667))
| esk65_2(X666,X667) = vreduce(esk61_2(X666,X667))
| X667 = vnoExp
| X666 = vvar(esk57_2(X666,X667))
| ~ epred3_2(X667,X666) )
& ( X667 = vsomeExp(vsubst(esk68_2(X666,X667),esk69_2(X666,X667),esk70_2(X666,X667)))
| esk65_2(X666,X667) = vreduce(esk61_2(X666,X667))
| X667 = vnoExp
| X666 = vvar(esk57_2(X666,X667))
| ~ epred3_2(X667,X666) )
& ( X666 = vapp(vabs(esk68_2(X666,X667),esk66_2(X666,X667),esk70_2(X666,X667)),esk69_2(X666,X667))
| visSomeExp(esk65_2(X666,X667))
| X667 = vnoExp
| X666 = vvar(esk57_2(X666,X667))
| ~ epred3_2(X667,X666) )
& ( esk67_2(X666,X667) = vreduce(esk69_2(X666,X667))
| visSomeExp(esk65_2(X666,X667))
| X667 = vnoExp
| X666 = vvar(esk57_2(X666,X667))
| ~ epred3_2(X667,X666) )
& ( ~ visSomeExp(esk67_2(X666,X667))
| visSomeExp(esk65_2(X666,X667))
| X667 = vnoExp
| X666 = vvar(esk57_2(X666,X667))
| ~ epred3_2(X667,X666) )
& ( visValue(esk69_2(X666,X667))
| visSomeExp(esk65_2(X666,X667))
| X667 = vnoExp
| X666 = vvar(esk57_2(X666,X667))
| ~ epred3_2(X667,X666) )
& ( X667 = vsomeExp(vsubst(esk68_2(X666,X667),esk69_2(X666,X667),esk70_2(X666,X667)))
| visSomeExp(esk65_2(X666,X667))
| X667 = vnoExp
| X666 = vvar(esk57_2(X666,X667))
| ~ epred3_2(X667,X666) )
& ( X666 = vapp(vabs(esk68_2(X666,X667),esk66_2(X666,X667),esk70_2(X666,X667)),esk69_2(X666,X667))
| X667 = vsomeExp(vapp(vabs(esk62_2(X666,X667),esk63_2(X666,X667),esk64_2(X666,X667)),vgetSomeExp(esk65_2(X666,X667))))
| X667 = vnoExp
| X666 = vvar(esk57_2(X666,X667))
| ~ epred3_2(X667,X666) )
& ( esk67_2(X666,X667) = vreduce(esk69_2(X666,X667))
| X667 = vsomeExp(vapp(vabs(esk62_2(X666,X667),esk63_2(X666,X667),esk64_2(X666,X667)),vgetSomeExp(esk65_2(X666,X667))))
| X667 = vnoExp
| X666 = vvar(esk57_2(X666,X667))
| ~ epred3_2(X667,X666) )
& ( ~ visSomeExp(esk67_2(X666,X667))
| X667 = vsomeExp(vapp(vabs(esk62_2(X666,X667),esk63_2(X666,X667),esk64_2(X666,X667)),vgetSomeExp(esk65_2(X666,X667))))
| X667 = vnoExp
| X666 = vvar(esk57_2(X666,X667))
| ~ epred3_2(X667,X666) )
& ( visValue(esk69_2(X666,X667))
| X667 = vsomeExp(vapp(vabs(esk62_2(X666,X667),esk63_2(X666,X667),esk64_2(X666,X667)),vgetSomeExp(esk65_2(X666,X667))))
| X667 = vnoExp
| X666 = vvar(esk57_2(X666,X667))
| ~ epred3_2(X667,X666) )
& ( X667 = vsomeExp(vsubst(esk68_2(X666,X667),esk69_2(X666,X667),esk70_2(X666,X667)))
| X667 = vsomeExp(vapp(vabs(esk62_2(X666,X667),esk63_2(X666,X667),esk64_2(X666,X667)),vgetSomeExp(esk65_2(X666,X667))))
| X667 = vnoExp
| X666 = vvar(esk57_2(X666,X667))
| ~ epred3_2(X667,X666) )
& ( X666 = vapp(vabs(esk68_2(X666,X667),esk66_2(X666,X667),esk70_2(X666,X667)),esk69_2(X666,X667))
| X666 = vapp(vabs(esk62_2(X666,X667),esk63_2(X666,X667),esk64_2(X666,X667)),esk61_2(X666,X667))
| X666 = vabs(esk58_2(X666,X667),esk59_2(X666,X667),esk60_2(X666,X667))
| X667 = vnoExp
| ~ epred3_2(X667,X666) )
& ( esk67_2(X666,X667) = vreduce(esk69_2(X666,X667))
| X666 = vapp(vabs(esk62_2(X666,X667),esk63_2(X666,X667),esk64_2(X666,X667)),esk61_2(X666,X667))
| X666 = vabs(esk58_2(X666,X667),esk59_2(X666,X667),esk60_2(X666,X667))
| X667 = vnoExp
| ~ epred3_2(X667,X666) )
& ( ~ visSomeExp(esk67_2(X666,X667))
| X666 = vapp(vabs(esk62_2(X666,X667),esk63_2(X666,X667),esk64_2(X666,X667)),esk61_2(X666,X667))
| X666 = vabs(esk58_2(X666,X667),esk59_2(X666,X667),esk60_2(X666,X667))
| X667 = vnoExp
| ~ epred3_2(X667,X666) )
& ( visValue(esk69_2(X666,X667))
| X666 = vapp(vabs(esk62_2(X666,X667),esk63_2(X666,X667),esk64_2(X666,X667)),esk61_2(X666,X667))
| X666 = vabs(esk58_2(X666,X667),esk59_2(X666,X667),esk60_2(X666,X667))
| X667 = vnoExp
| ~ epred3_2(X667,X666) )
& ( X667 = vsomeExp(vsubst(esk68_2(X666,X667),esk69_2(X666,X667),esk70_2(X666,X667)))
| X666 = vapp(vabs(esk62_2(X666,X667),esk63_2(X666,X667),esk64_2(X666,X667)),esk61_2(X666,X667))
| X666 = vabs(esk58_2(X666,X667),esk59_2(X666,X667),esk60_2(X666,X667))
| X667 = vnoExp
| ~ epred3_2(X667,X666) )
& ( X666 = vapp(vabs(esk68_2(X666,X667),esk66_2(X666,X667),esk70_2(X666,X667)),esk69_2(X666,X667))
| esk65_2(X666,X667) = vreduce(esk61_2(X666,X667))
| X666 = vabs(esk58_2(X666,X667),esk59_2(X666,X667),esk60_2(X666,X667))
| X667 = vnoExp
| ~ epred3_2(X667,X666) )
& ( esk67_2(X666,X667) = vreduce(esk69_2(X666,X667))
| esk65_2(X666,X667) = vreduce(esk61_2(X666,X667))
| X666 = vabs(esk58_2(X666,X667),esk59_2(X666,X667),esk60_2(X666,X667))
| X667 = vnoExp
| ~ epred3_2(X667,X666) )
& ( ~ visSomeExp(esk67_2(X666,X667))
| esk65_2(X666,X667) = vreduce(esk61_2(X666,X667))
| X666 = vabs(esk58_2(X666,X667),esk59_2(X666,X667),esk60_2(X666,X667))
| X667 = vnoExp
| ~ epred3_2(X667,X666) )
& ( visValue(esk69_2(X666,X667))
| esk65_2(X666,X667) = vreduce(esk61_2(X666,X667))
| X666 = vabs(esk58_2(X666,X667),esk59_2(X666,X667),esk60_2(X666,X667))
| X667 = vnoExp
| ~ epred3_2(X667,X666) )
& ( X667 = vsomeExp(vsubst(esk68_2(X666,X667),esk69_2(X666,X667),esk70_2(X666,X667)))
| esk65_2(X666,X667) = vreduce(esk61_2(X666,X667))
| X666 = vabs(esk58_2(X666,X667),esk59_2(X666,X667),esk60_2(X666,X667))
| X667 = vnoExp
| ~ epred3_2(X667,X666) )
& ( X666 = vapp(vabs(esk68_2(X666,X667),esk66_2(X666,X667),esk70_2(X666,X667)),esk69_2(X666,X667))
| visSomeExp(esk65_2(X666,X667))
| X666 = vabs(esk58_2(X666,X667),esk59_2(X666,X667),esk60_2(X666,X667))
| X667 = vnoExp
| ~ epred3_2(X667,X666) )
& ( esk67_2(X666,X667) = vreduce(esk69_2(X666,X667))
| visSomeExp(esk65_2(X666,X667))
| X666 = vabs(esk58_2(X666,X667),esk59_2(X666,X667),esk60_2(X666,X667))
| X667 = vnoExp
| ~ epred3_2(X667,X666) )
& ( ~ visSomeExp(esk67_2(X666,X667))
| visSomeExp(esk65_2(X666,X667))
| X666 = vabs(esk58_2(X666,X667),esk59_2(X666,X667),esk60_2(X666,X667))
| X667 = vnoExp
| ~ epred3_2(X667,X666) )
& ( visValue(esk69_2(X666,X667))
| visSomeExp(esk65_2(X666,X667))
| X666 = vabs(esk58_2(X666,X667),esk59_2(X666,X667),esk60_2(X666,X667))
| X667 = vnoExp
| ~ epred3_2(X667,X666) )
& ( X667 = vsomeExp(vsubst(esk68_2(X666,X667),esk69_2(X666,X667),esk70_2(X666,X667)))
| visSomeExp(esk65_2(X666,X667))
| X666 = vabs(esk58_2(X666,X667),esk59_2(X666,X667),esk60_2(X666,X667))
| X667 = vnoExp
| ~ epred3_2(X667,X666) )
& ( X666 = vapp(vabs(esk68_2(X666,X667),esk66_2(X666,X667),esk70_2(X666,X667)),esk69_2(X666,X667))
| X667 = vsomeExp(vapp(vabs(esk62_2(X666,X667),esk63_2(X666,X667),esk64_2(X666,X667)),vgetSomeExp(esk65_2(X666,X667))))
| X666 = vabs(esk58_2(X666,X667),esk59_2(X666,X667),esk60_2(X666,X667))
| X667 = vnoExp
| ~ epred3_2(X667,X666) )
& ( esk67_2(X666,X667) = vreduce(esk69_2(X666,X667))
| X667 = vsomeExp(vapp(vabs(esk62_2(X666,X667),esk63_2(X666,X667),esk64_2(X666,X667)),vgetSomeExp(esk65_2(X666,X667))))
| X666 = vabs(esk58_2(X666,X667),esk59_2(X666,X667),esk60_2(X666,X667))
| X667 = vnoExp
| ~ epred3_2(X667,X666) )
& ( ~ visSomeExp(esk67_2(X666,X667))
| X667 = vsomeExp(vapp(vabs(esk62_2(X666,X667),esk63_2(X666,X667),esk64_2(X666,X667)),vgetSomeExp(esk65_2(X666,X667))))
| X666 = vabs(esk58_2(X666,X667),esk59_2(X666,X667),esk60_2(X666,X667))
| X667 = vnoExp
| ~ epred3_2(X667,X666) )
& ( visValue(esk69_2(X666,X667))
| X667 = vsomeExp(vapp(vabs(esk62_2(X666,X667),esk63_2(X666,X667),esk64_2(X666,X667)),vgetSomeExp(esk65_2(X666,X667))))
| X666 = vabs(esk58_2(X666,X667),esk59_2(X666,X667),esk60_2(X666,X667))
| X667 = vnoExp
| ~ epred3_2(X667,X666) )
& ( X667 = vsomeExp(vsubst(esk68_2(X666,X667),esk69_2(X666,X667),esk70_2(X666,X667)))
| X667 = vsomeExp(vapp(vabs(esk62_2(X666,X667),esk63_2(X666,X667),esk64_2(X666,X667)),vgetSomeExp(esk65_2(X666,X667))))
| X666 = vabs(esk58_2(X666,X667),esk59_2(X666,X667),esk60_2(X666,X667))
| X667 = vnoExp
| ~ epred3_2(X667,X666) )
& ( X666 = vapp(vabs(esk68_2(X666,X667),esk66_2(X666,X667),esk70_2(X666,X667)),esk69_2(X666,X667))
| X666 = vapp(vabs(esk62_2(X666,X667),esk63_2(X666,X667),esk64_2(X666,X667)),esk61_2(X666,X667))
| X667 = vnoExp
| X667 = vnoExp
| ~ epred3_2(X667,X666) )
& ( esk67_2(X666,X667) = vreduce(esk69_2(X666,X667))
| X666 = vapp(vabs(esk62_2(X666,X667),esk63_2(X666,X667),esk64_2(X666,X667)),esk61_2(X666,X667))
| X667 = vnoExp
| X667 = vnoExp
| ~ epred3_2(X667,X666) )
& ( ~ visSomeExp(esk67_2(X666,X667))
| X666 = vapp(vabs(esk62_2(X666,X667),esk63_2(X666,X667),esk64_2(X666,X667)),esk61_2(X666,X667))
| X667 = vnoExp
| X667 = vnoExp
| ~ epred3_2(X667,X666) )
& ( visValue(esk69_2(X666,X667))
| X666 = vapp(vabs(esk62_2(X666,X667),esk63_2(X666,X667),esk64_2(X666,X667)),esk61_2(X666,X667))
| X667 = vnoExp
| X667 = vnoExp
| ~ epred3_2(X667,X666) )
& ( X667 = vsomeExp(vsubst(esk68_2(X666,X667),esk69_2(X666,X667),esk70_2(X666,X667)))
| X666 = vapp(vabs(esk62_2(X666,X667),esk63_2(X666,X667),esk64_2(X666,X667)),esk61_2(X666,X667))
| X667 = vnoExp
| X667 = vnoExp
| ~ epred3_2(X667,X666) )
& ( X666 = vapp(vabs(esk68_2(X666,X667),esk66_2(X666,X667),esk70_2(X666,X667)),esk69_2(X666,X667))
| esk65_2(X666,X667) = vreduce(esk61_2(X666,X667))
| X667 = vnoExp
| X667 = vnoExp
| ~ epred3_2(X667,X666) )
& ( esk67_2(X666,X667) = vreduce(esk69_2(X666,X667))
| esk65_2(X666,X667) = vreduce(esk61_2(X666,X667))
| X667 = vnoExp
| X667 = vnoExp
| ~ epred3_2(X667,X666) )
& ( ~ visSomeExp(esk67_2(X666,X667))
| esk65_2(X666,X667) = vreduce(esk61_2(X666,X667))
| X667 = vnoExp
| X667 = vnoExp
| ~ epred3_2(X667,X666) )
& ( visValue(esk69_2(X666,X667))
| esk65_2(X666,X667) = vreduce(esk61_2(X666,X667))
| X667 = vnoExp
| X667 = vnoExp
| ~ epred3_2(X667,X666) )
& ( X667 = vsomeExp(vsubst(esk68_2(X666,X667),esk69_2(X666,X667),esk70_2(X666,X667)))
| esk65_2(X666,X667) = vreduce(esk61_2(X666,X667))
| X667 = vnoExp
| X667 = vnoExp
| ~ epred3_2(X667,X666) )
& ( X666 = vapp(vabs(esk68_2(X666,X667),esk66_2(X666,X667),esk70_2(X666,X667)),esk69_2(X666,X667))
| visSomeExp(esk65_2(X666,X667))
| X667 = vnoExp
| X667 = vnoExp
| ~ epred3_2(X667,X666) )
& ( esk67_2(X666,X667) = vreduce(esk69_2(X666,X667))
| visSomeExp(esk65_2(X666,X667))
| X667 = vnoExp
| X667 = vnoExp
| ~ epred3_2(X667,X666) )
& ( ~ visSomeExp(esk67_2(X666,X667))
| visSomeExp(esk65_2(X666,X667))
| X667 = vnoExp
| X667 = vnoExp
| ~ epred3_2(X667,X666) )
& ( visValue(esk69_2(X666,X667))
| visSomeExp(esk65_2(X666,X667))
| X667 = vnoExp
| X667 = vnoExp
| ~ epred3_2(X667,X666) )
& ( X667 = vsomeExp(vsubst(esk68_2(X666,X667),esk69_2(X666,X667),esk70_2(X666,X667)))
| visSomeExp(esk65_2(X666,X667))
| X667 = vnoExp
| X667 = vnoExp
| ~ epred3_2(X667,X666) )
& ( X666 = vapp(vabs(esk68_2(X666,X667),esk66_2(X666,X667),esk70_2(X666,X667)),esk69_2(X666,X667))
| X667 = vsomeExp(vapp(vabs(esk62_2(X666,X667),esk63_2(X666,X667),esk64_2(X666,X667)),vgetSomeExp(esk65_2(X666,X667))))
| X667 = vnoExp
| X667 = vnoExp
| ~ epred3_2(X667,X666) )
& ( esk67_2(X666,X667) = vreduce(esk69_2(X666,X667))
| X667 = vsomeExp(vapp(vabs(esk62_2(X666,X667),esk63_2(X666,X667),esk64_2(X666,X667)),vgetSomeExp(esk65_2(X666,X667))))
| X667 = vnoExp
| X667 = vnoExp
| ~ epred3_2(X667,X666) )
& ( ~ visSomeExp(esk67_2(X666,X667))
| X667 = vsomeExp(vapp(vabs(esk62_2(X666,X667),esk63_2(X666,X667),esk64_2(X666,X667)),vgetSomeExp(esk65_2(X666,X667))))
| X667 = vnoExp
| X667 = vnoExp
| ~ epred3_2(X667,X666) )
& ( visValue(esk69_2(X666,X667))
| X667 = vsomeExp(vapp(vabs(esk62_2(X666,X667),esk63_2(X666,X667),esk64_2(X666,X667)),vgetSomeExp(esk65_2(X666,X667))))
| X667 = vnoExp
| X667 = vnoExp
| ~ epred3_2(X667,X666) )
& ( X667 = vsomeExp(vsubst(esk68_2(X666,X667),esk69_2(X666,X667),esk70_2(X666,X667)))
| X667 = vsomeExp(vapp(vabs(esk62_2(X666,X667),esk63_2(X666,X667),esk64_2(X666,X667)),vgetSomeExp(esk65_2(X666,X667))))
| X667 = vnoExp
| X667 = vnoExp
| ~ epred3_2(X667,X666) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_58])])])])]) ).
fof(i_0_65,plain,
! [X4,X19] :
( epred4_2(X19,X4)
=> ( epred3_2(X19,X4)
| ? [X9,X10,X12,X26,X13] :
( X4 = vapp(vabs(X9,X10,X12),X13)
& X26 = vreduce(X13)
& ~ visSomeExp(X26)
& ~ visValue(X13)
& X19 = vnoExp )
| ? [X12,X27,X13] :
( X4 = vapp(X12,X13)
& ! [X28,X29,X30] : X12 != vabs(X28,X29,X30)
& X27 = vreduce(X12)
& visSomeExp(X27)
& X19 = vsomeExp(vapp(vgetSomeExp(X27),X13)) ) ) ),
inference(apply_def,[status(thm)],[inference(split_equiv,[status(thm)],[i_0_59]),c_0_55]) ).
fof(i_0_66,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_67,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_68,plain,
! [X9,X10,X20,X15] :
( ( ~ visFreeVar(X9,ve2app)
& vtcheck(vbind(X9,X10,X20),ve2app,X15) )
=> vtcheck(X20,ve2app,X15) ),
inference(fof_simplification,[status(thm)],['T-Strong-app-IH2']) ).
fof(i_0_69,plain,
! [X9,X10,X20,X15] :
( ( ~ visFreeVar(X9,ve1app)
& vtcheck(vbind(X9,X10,X20),ve1app,X15) )
=> vtcheck(X20,ve1app,X15) ),
inference(fof_simplification,[status(thm)],['T-Strong-app-IH1']) ).
fof(i_0_70,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_71,negated_conjecture,
~ ! [X9,X10,X20,X15] :
( ( ~ visFreeVar(X9,vapp(ve1app,ve2app))
& vtcheck(vbind(X9,X10,X20),vapp(ve1app,ve2app),X15) )
=> vtcheck(X20,vapp(ve1app,ve2app),X15) ),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],['T-Strong-app'])]) ).
fof(i_0_72,plain,
! [X4,X19] :
( vreduce(X4) = X19
=> ( epred4_2(X19,X4)
| ? [X13,X12,X27] :
( X4 = vapp(X12,X13)
& ! [X28,X29,X30] : X12 != vabs(X28,X29,X30)
& X27 = vreduce(X12)
& ~ visSomeExp(X27)
& X19 = vnoExp ) ) ),
inference(apply_def,[status(thm)],[inference(fof_simplification,[status(thm)],['reduce-INV']),c_0_59]) ).
fof(i_0_73,plain,
! [X12,X13,X4] :
( X4 = vapp(X12,X13)
=> ~ visValue(X4) ),
inference(fof_simplification,[status(thm)],[isValue2]) ).
fof(i_0_74,plain,
! [X14,X11] :
( vgensym(X11) = X14
=> ~ visFreeVar(X14,X11) ),
inference(fof_simplification,[status(thm)],['gensym-is-fresh']) ).
fof(i_0_75,plain,
! [X9,X4] :
( X4 = vvar(X9)
=> ~ visValue(X4) ),
inference(fof_simplification,[status(thm)],[isValue1]) ).
fof(i_0_76,plain,
! [X25] :
( X25 = vnoExp
=> ~ visSomeExp(X25) ),
inference(fof_simplification,[status(thm)],[isSomeExp0]) ).
fof(i_0_77,plain,
! [X18] :
( X18 = vnoType
=> ~ visSomeType(X18) ),
inference(fof_simplification,[status(thm)],[isSomeType0]) ).
fof(i_0_78,plain,
! [X647,X648,X649,X650] :
( ( X647 = esk51_4(X647,X648,X649,X650)
| X647 = esk47_4(X647,X648,X649,X650)
| X647 = esk43_4(X647,X648,X649,X650)
| epred1_4(X650,X649,X648,X647)
| ~ epred2_4(X650,X649,X648,X647) )
& ( X648 = esk52_4(X647,X648,X649,X650)
| X647 = esk47_4(X647,X648,X649,X650)
| X647 = esk43_4(X647,X648,X649,X650)
| epred1_4(X650,X649,X648,X647)
| ~ epred2_4(X650,X649,X648,X647) )
& ( X649 = vabs(esk54_4(X647,X648,X649,X650),esk53_4(X647,X648,X649,X650),esk56_4(X647,X648,X649,X650))
| X647 = esk47_4(X647,X648,X649,X650)
| X647 = esk43_4(X647,X648,X649,X650)
| epred1_4(X650,X649,X648,X647)
| ~ epred2_4(X650,X649,X648,X647) )
& ( esk51_4(X647,X648,X649,X650) != esk54_4(X647,X648,X649,X650)
| X647 = esk47_4(X647,X648,X649,X650)
| X647 = esk43_4(X647,X648,X649,X650)
| epred1_4(X650,X649,X648,X647)
| ~ epred2_4(X650,X649,X648,X647) )
& ( visFreeVar(esk54_4(X647,X648,X649,X650),esk52_4(X647,X648,X649,X650))
| X647 = esk47_4(X647,X648,X649,X650)
| X647 = esk43_4(X647,X648,X649,X650)
| epred1_4(X650,X649,X648,X647)
| ~ epred2_4(X650,X649,X648,X647) )
& ( esk55_4(X647,X648,X649,X650) = vgensym(vapp(vapp(esk52_4(X647,X648,X649,X650),esk56_4(X647,X648,X649,X650)),vvar(esk51_4(X647,X648,X649,X650))))
| X647 = esk47_4(X647,X648,X649,X650)
| X647 = esk43_4(X647,X648,X649,X650)
| epred1_4(X650,X649,X648,X647)
| ~ epred2_4(X650,X649,X648,X647) )
& ( X650 = vsubst(esk51_4(X647,X648,X649,X650),esk52_4(X647,X648,X649,X650),vabs(esk55_4(X647,X648,X649,X650),esk53_4(X647,X648,X649,X650),vsubst(esk54_4(X647,X648,X649,X650),vvar(esk55_4(X647,X648,X649,X650)),esk56_4(X647,X648,X649,X650))))
| X647 = esk47_4(X647,X648,X649,X650)
| X647 = esk43_4(X647,X648,X649,X650)
| epred1_4(X650,X649,X648,X647)
| ~ epred2_4(X650,X649,X648,X647) )
& ( X647 = esk51_4(X647,X648,X649,X650)
| X648 = esk46_4(X647,X648,X649,X650)
| X647 = esk43_4(X647,X648,X649,X650)
| epred1_4(X650,X649,X648,X647)
| ~ epred2_4(X650,X649,X648,X647) )
& ( X648 = esk52_4(X647,X648,X649,X650)
| X648 = esk46_4(X647,X648,X649,X650)
| X647 = esk43_4(X647,X648,X649,X650)
| epred1_4(X650,X649,X648,X647)
| ~ epred2_4(X650,X649,X648,X647) )
& ( X649 = vabs(esk54_4(X647,X648,X649,X650),esk53_4(X647,X648,X649,X650),esk56_4(X647,X648,X649,X650))
| X648 = esk46_4(X647,X648,X649,X650)
| X647 = esk43_4(X647,X648,X649,X650)
| epred1_4(X650,X649,X648,X647)
| ~ epred2_4(X650,X649,X648,X647) )
& ( esk51_4(X647,X648,X649,X650) != esk54_4(X647,X648,X649,X650)
| X648 = esk46_4(X647,X648,X649,X650)
| X647 = esk43_4(X647,X648,X649,X650)
| epred1_4(X650,X649,X648,X647)
| ~ epred2_4(X650,X649,X648,X647) )
& ( visFreeVar(esk54_4(X647,X648,X649,X650),esk52_4(X647,X648,X649,X650))
| X648 = esk46_4(X647,X648,X649,X650)
| X647 = esk43_4(X647,X648,X649,X650)
| epred1_4(X650,X649,X648,X647)
| ~ epred2_4(X650,X649,X648,X647) )
& ( esk55_4(X647,X648,X649,X650) = vgensym(vapp(vapp(esk52_4(X647,X648,X649,X650),esk56_4(X647,X648,X649,X650)),vvar(esk51_4(X647,X648,X649,X650))))
| X648 = esk46_4(X647,X648,X649,X650)
| X647 = esk43_4(X647,X648,X649,X650)
| epred1_4(X650,X649,X648,X647)
| ~ epred2_4(X650,X649,X648,X647) )
& ( X650 = vsubst(esk51_4(X647,X648,X649,X650),esk52_4(X647,X648,X649,X650),vabs(esk55_4(X647,X648,X649,X650),esk53_4(X647,X648,X649,X650),vsubst(esk54_4(X647,X648,X649,X650),vvar(esk55_4(X647,X648,X649,X650)),esk56_4(X647,X648,X649,X650))))
| X648 = esk46_4(X647,X648,X649,X650)
| X647 = esk43_4(X647,X648,X649,X650)
| epred1_4(X650,X649,X648,X647)
| ~ epred2_4(X650,X649,X648,X647) )
& ( X647 = esk51_4(X647,X648,X649,X650)
| X649 = vabs(esk48_4(X647,X648,X649,X650),esk49_4(X647,X648,X649,X650),esk50_4(X647,X648,X649,X650))
| X647 = esk43_4(X647,X648,X649,X650)
| epred1_4(X650,X649,X648,X647)
| ~ epred2_4(X650,X649,X648,X647) )
& ( X648 = esk52_4(X647,X648,X649,X650)
| X649 = vabs(esk48_4(X647,X648,X649,X650),esk49_4(X647,X648,X649,X650),esk50_4(X647,X648,X649,X650))
| X647 = esk43_4(X647,X648,X649,X650)
| epred1_4(X650,X649,X648,X647)
| ~ epred2_4(X650,X649,X648,X647) )
& ( X649 = vabs(esk54_4(X647,X648,X649,X650),esk53_4(X647,X648,X649,X650),esk56_4(X647,X648,X649,X650))
| X649 = vabs(esk48_4(X647,X648,X649,X650),esk49_4(X647,X648,X649,X650),esk50_4(X647,X648,X649,X650))
| X647 = esk43_4(X647,X648,X649,X650)
| epred1_4(X650,X649,X648,X647)
| ~ epred2_4(X650,X649,X648,X647) )
& ( esk51_4(X647,X648,X649,X650) != esk54_4(X647,X648,X649,X650)
| X649 = vabs(esk48_4(X647,X648,X649,X650),esk49_4(X647,X648,X649,X650),esk50_4(X647,X648,X649,X650))
| X647 = esk43_4(X647,X648,X649,X650)
| epred1_4(X650,X649,X648,X647)
| ~ epred2_4(X650,X649,X648,X647) )
& ( visFreeVar(esk54_4(X647,X648,X649,X650),esk52_4(X647,X648,X649,X650))
| X649 = vabs(esk48_4(X647,X648,X649,X650),esk49_4(X647,X648,X649,X650),esk50_4(X647,X648,X649,X650))
| X647 = esk43_4(X647,X648,X649,X650)
| epred1_4(X650,X649,X648,X647)
| ~ epred2_4(X650,X649,X648,X647) )
& ( esk55_4(X647,X648,X649,X650) = vgensym(vapp(vapp(esk52_4(X647,X648,X649,X650),esk56_4(X647,X648,X649,X650)),vvar(esk51_4(X647,X648,X649,X650))))
| X649 = vabs(esk48_4(X647,X648,X649,X650),esk49_4(X647,X648,X649,X650),esk50_4(X647,X648,X649,X650))
| X647 = esk43_4(X647,X648,X649,X650)
| epred1_4(X650,X649,X648,X647)
| ~ epred2_4(X650,X649,X648,X647) )
& ( X650 = vsubst(esk51_4(X647,X648,X649,X650),esk52_4(X647,X648,X649,X650),vabs(esk55_4(X647,X648,X649,X650),esk53_4(X647,X648,X649,X650),vsubst(esk54_4(X647,X648,X649,X650),vvar(esk55_4(X647,X648,X649,X650)),esk56_4(X647,X648,X649,X650))))
| X649 = vabs(esk48_4(X647,X648,X649,X650),esk49_4(X647,X648,X649,X650),esk50_4(X647,X648,X649,X650))
| X647 = esk43_4(X647,X648,X649,X650)
| epred1_4(X650,X649,X648,X647)
| ~ epred2_4(X650,X649,X648,X647) )
& ( X647 = esk51_4(X647,X648,X649,X650)
| esk47_4(X647,X648,X649,X650) = esk48_4(X647,X648,X649,X650)
| X647 = esk43_4(X647,X648,X649,X650)
| epred1_4(X650,X649,X648,X647)
| ~ epred2_4(X650,X649,X648,X647) )
& ( X648 = esk52_4(X647,X648,X649,X650)
| esk47_4(X647,X648,X649,X650) = esk48_4(X647,X648,X649,X650)
| X647 = esk43_4(X647,X648,X649,X650)
| epred1_4(X650,X649,X648,X647)
| ~ epred2_4(X650,X649,X648,X647) )
& ( X649 = vabs(esk54_4(X647,X648,X649,X650),esk53_4(X647,X648,X649,X650),esk56_4(X647,X648,X649,X650))
| esk47_4(X647,X648,X649,X650) = esk48_4(X647,X648,X649,X650)
| X647 = esk43_4(X647,X648,X649,X650)
| epred1_4(X650,X649,X648,X647)
| ~ epred2_4(X650,X649,X648,X647) )
& ( esk51_4(X647,X648,X649,X650) != esk54_4(X647,X648,X649,X650)
| esk47_4(X647,X648,X649,X650) = esk48_4(X647,X648,X649,X650)
| X647 = esk43_4(X647,X648,X649,X650)
| epred1_4(X650,X649,X648,X647)
| ~ epred2_4(X650,X649,X648,X647) )
& ( visFreeVar(esk54_4(X647,X648,X649,X650),esk52_4(X647,X648,X649,X650))
| esk47_4(X647,X648,X649,X650) = esk48_4(X647,X648,X649,X650)
| X647 = esk43_4(X647,X648,X649,X650)
| epred1_4(X650,X649,X648,X647)
| ~ epred2_4(X650,X649,X648,X647) )
& ( esk55_4(X647,X648,X649,X650) = vgensym(vapp(vapp(esk52_4(X647,X648,X649,X650),esk56_4(X647,X648,X649,X650)),vvar(esk51_4(X647,X648,X649,X650))))
| esk47_4(X647,X648,X649,X650) = esk48_4(X647,X648,X649,X650)
| X647 = esk43_4(X647,X648,X649,X650)
| epred1_4(X650,X649,X648,X647)
| ~ epred2_4(X650,X649,X648,X647) )
& ( X650 = vsubst(esk51_4(X647,X648,X649,X650),esk52_4(X647,X648,X649,X650),vabs(esk55_4(X647,X648,X649,X650),esk53_4(X647,X648,X649,X650),vsubst(esk54_4(X647,X648,X649,X650),vvar(esk55_4(X647,X648,X649,X650)),esk56_4(X647,X648,X649,X650))))
| esk47_4(X647,X648,X649,X650) = esk48_4(X647,X648,X649,X650)
| X647 = esk43_4(X647,X648,X649,X650)
| epred1_4(X650,X649,X648,X647)
| ~ epred2_4(X650,X649,X648,X647) )
& ( X647 = esk51_4(X647,X648,X649,X650)
| X650 = vabs(esk48_4(X647,X648,X649,X650),esk49_4(X647,X648,X649,X650),esk50_4(X647,X648,X649,X650))
| X647 = esk43_4(X647,X648,X649,X650)
| epred1_4(X650,X649,X648,X647)
| ~ epred2_4(X650,X649,X648,X647) )
& ( X648 = esk52_4(X647,X648,X649,X650)
| X650 = vabs(esk48_4(X647,X648,X649,X650),esk49_4(X647,X648,X649,X650),esk50_4(X647,X648,X649,X650))
| X647 = esk43_4(X647,X648,X649,X650)
| epred1_4(X650,X649,X648,X647)
| ~ epred2_4(X650,X649,X648,X647) )
& ( X649 = vabs(esk54_4(X647,X648,X649,X650),esk53_4(X647,X648,X649,X650),esk56_4(X647,X648,X649,X650))
| X650 = vabs(esk48_4(X647,X648,X649,X650),esk49_4(X647,X648,X649,X650),esk50_4(X647,X648,X649,X650))
| X647 = esk43_4(X647,X648,X649,X650)
| epred1_4(X650,X649,X648,X647)
| ~ epred2_4(X650,X649,X648,X647) )
& ( esk51_4(X647,X648,X649,X650) != esk54_4(X647,X648,X649,X650)
| X650 = vabs(esk48_4(X647,X648,X649,X650),esk49_4(X647,X648,X649,X650),esk50_4(X647,X648,X649,X650))
| X647 = esk43_4(X647,X648,X649,X650)
| epred1_4(X650,X649,X648,X647)
| ~ epred2_4(X650,X649,X648,X647) )
& ( visFreeVar(esk54_4(X647,X648,X649,X650),esk52_4(X647,X648,X649,X650))
| X650 = vabs(esk48_4(X647,X648,X649,X650),esk49_4(X647,X648,X649,X650),esk50_4(X647,X648,X649,X650))
| X647 = esk43_4(X647,X648,X649,X650)
| epred1_4(X650,X649,X648,X647)
| ~ epred2_4(X650,X649,X648,X647) )
& ( esk55_4(X647,X648,X649,X650) = vgensym(vapp(vapp(esk52_4(X647,X648,X649,X650),esk56_4(X647,X648,X649,X650)),vvar(esk51_4(X647,X648,X649,X650))))
| X650 = vabs(esk48_4(X647,X648,X649,X650),esk49_4(X647,X648,X649,X650),esk50_4(X647,X648,X649,X650))
| X647 = esk43_4(X647,X648,X649,X650)
| epred1_4(X650,X649,X648,X647)
| ~ epred2_4(X650,X649,X648,X647) )
& ( X650 = vsubst(esk51_4(X647,X648,X649,X650),esk52_4(X647,X648,X649,X650),vabs(esk55_4(X647,X648,X649,X650),esk53_4(X647,X648,X649,X650),vsubst(esk54_4(X647,X648,X649,X650),vvar(esk55_4(X647,X648,X649,X650)),esk56_4(X647,X648,X649,X650))))
| X650 = vabs(esk48_4(X647,X648,X649,X650),esk49_4(X647,X648,X649,X650),esk50_4(X647,X648,X649,X650))
| X647 = esk43_4(X647,X648,X649,X650)
| epred1_4(X650,X649,X648,X647)
| ~ epred2_4(X650,X649,X648,X647) )
& ( X647 = esk51_4(X647,X648,X649,X650)
| X647 = esk47_4(X647,X648,X649,X650)
| X648 = esk44_4(X647,X648,X649,X650)
| epred1_4(X650,X649,X648,X647)
| ~ epred2_4(X650,X649,X648,X647) )
& ( X648 = esk52_4(X647,X648,X649,X650)
| X647 = esk47_4(X647,X648,X649,X650)
| X648 = esk44_4(X647,X648,X649,X650)
| epred1_4(X650,X649,X648,X647)
| ~ epred2_4(X650,X649,X648,X647) )
& ( X649 = vabs(esk54_4(X647,X648,X649,X650),esk53_4(X647,X648,X649,X650),esk56_4(X647,X648,X649,X650))
| X647 = esk47_4(X647,X648,X649,X650)
| X648 = esk44_4(X647,X648,X649,X650)
| epred1_4(X650,X649,X648,X647)
| ~ epred2_4(X650,X649,X648,X647) )
& ( esk51_4(X647,X648,X649,X650) != esk54_4(X647,X648,X649,X650)
| X647 = esk47_4(X647,X648,X649,X650)
| X648 = esk44_4(X647,X648,X649,X650)
| epred1_4(X650,X649,X648,X647)
| ~ epred2_4(X650,X649,X648,X647) )
& ( visFreeVar(esk54_4(X647,X648,X649,X650),esk52_4(X647,X648,X649,X650))
| X647 = esk47_4(X647,X648,X649,X650)
| X648 = esk44_4(X647,X648,X649,X650)
| epred1_4(X650,X649,X648,X647)
| ~ epred2_4(X650,X649,X648,X647) )
& ( esk55_4(X647,X648,X649,X650) = vgensym(vapp(vapp(esk52_4(X647,X648,X649,X650),esk56_4(X647,X648,X649,X650)),vvar(esk51_4(X647,X648,X649,X650))))
| X647 = esk47_4(X647,X648,X649,X650)
| X648 = esk44_4(X647,X648,X649,X650)
| epred1_4(X650,X649,X648,X647)
| ~ epred2_4(X650,X649,X648,X647) )
& ( X650 = vsubst(esk51_4(X647,X648,X649,X650),esk52_4(X647,X648,X649,X650),vabs(esk55_4(X647,X648,X649,X650),esk53_4(X647,X648,X649,X650),vsubst(esk54_4(X647,X648,X649,X650),vvar(esk55_4(X647,X648,X649,X650)),esk56_4(X647,X648,X649,X650))))
| X647 = esk47_4(X647,X648,X649,X650)
| X648 = esk44_4(X647,X648,X649,X650)
| epred1_4(X650,X649,X648,X647)
| ~ epred2_4(X650,X649,X648,X647) )
& ( X647 = esk51_4(X647,X648,X649,X650)
| X648 = esk46_4(X647,X648,X649,X650)
| X648 = esk44_4(X647,X648,X649,X650)
| epred1_4(X650,X649,X648,X647)
| ~ epred2_4(X650,X649,X648,X647) )
& ( X648 = esk52_4(X647,X648,X649,X650)
| X648 = esk46_4(X647,X648,X649,X650)
| X648 = esk44_4(X647,X648,X649,X650)
| epred1_4(X650,X649,X648,X647)
| ~ epred2_4(X650,X649,X648,X647) )
& ( X649 = vabs(esk54_4(X647,X648,X649,X650),esk53_4(X647,X648,X649,X650),esk56_4(X647,X648,X649,X650))
| X648 = esk46_4(X647,X648,X649,X650)
| X648 = esk44_4(X647,X648,X649,X650)
| epred1_4(X650,X649,X648,X647)
| ~ epred2_4(X650,X649,X648,X647) )
& ( esk51_4(X647,X648,X649,X650) != esk54_4(X647,X648,X649,X650)
| X648 = esk46_4(X647,X648,X649,X650)
| X648 = esk44_4(X647,X648,X649,X650)
| epred1_4(X650,X649,X648,X647)
| ~ epred2_4(X650,X649,X648,X647) )
& ( visFreeVar(esk54_4(X647,X648,X649,X650),esk52_4(X647,X648,X649,X650))
| X648 = esk46_4(X647,X648,X649,X650)
| X648 = esk44_4(X647,X648,X649,X650)
| epred1_4(X650,X649,X648,X647)
| ~ epred2_4(X650,X649,X648,X647) )
& ( esk55_4(X647,X648,X649,X650) = vgensym(vapp(vapp(esk52_4(X647,X648,X649,X650),esk56_4(X647,X648,X649,X650)),vvar(esk51_4(X647,X648,X649,X650))))
| X648 = esk46_4(X647,X648,X649,X650)
| X648 = esk44_4(X647,X648,X649,X650)
| epred1_4(X650,X649,X648,X647)
| ~ epred2_4(X650,X649,X648,X647) )
& ( X650 = vsubst(esk51_4(X647,X648,X649,X650),esk52_4(X647,X648,X649,X650),vabs(esk55_4(X647,X648,X649,X650),esk53_4(X647,X648,X649,X650),vsubst(esk54_4(X647,X648,X649,X650),vvar(esk55_4(X647,X648,X649,X650)),esk56_4(X647,X648,X649,X650))))
| X648 = esk46_4(X647,X648,X649,X650)
| X648 = esk44_4(X647,X648,X649,X650)
| epred1_4(X650,X649,X648,X647)
| ~ epred2_4(X650,X649,X648,X647) )
& ( X647 = esk51_4(X647,X648,X649,X650)
| X649 = vabs(esk48_4(X647,X648,X649,X650),esk49_4(X647,X648,X649,X650),esk50_4(X647,X648,X649,X650))
| X648 = esk44_4(X647,X648,X649,X650)
| epred1_4(X650,X649,X648,X647)
| ~ epred2_4(X650,X649,X648,X647) )
& ( X648 = esk52_4(X647,X648,X649,X650)
| X649 = vabs(esk48_4(X647,X648,X649,X650),esk49_4(X647,X648,X649,X650),esk50_4(X647,X648,X649,X650))
| X648 = esk44_4(X647,X648,X649,X650)
| epred1_4(X650,X649,X648,X647)
| ~ epred2_4(X650,X649,X648,X647) )
& ( X649 = vabs(esk54_4(X647,X648,X649,X650),esk53_4(X647,X648,X649,X650),esk56_4(X647,X648,X649,X650))
| X649 = vabs(esk48_4(X647,X648,X649,X650),esk49_4(X647,X648,X649,X650),esk50_4(X647,X648,X649,X650))
| X648 = esk44_4(X647,X648,X649,X650)
| epred1_4(X650,X649,X648,X647)
| ~ epred2_4(X650,X649,X648,X647) )
& ( esk51_4(X647,X648,X649,X650) != esk54_4(X647,X648,X649,X650)
| X649 = vabs(esk48_4(X647,X648,X649,X650),esk49_4(X647,X648,X649,X650),esk50_4(X647,X648,X649,X650))
| X648 = esk44_4(X647,X648,X649,X650)
| epred1_4(X650,X649,X648,X647)
| ~ epred2_4(X650,X649,X648,X647) )
& ( visFreeVar(esk54_4(X647,X648,X649,X650),esk52_4(X647,X648,X649,X650))
| X649 = vabs(esk48_4(X647,X648,X649,X650),esk49_4(X647,X648,X649,X650),esk50_4(X647,X648,X649,X650))
| X648 = esk44_4(X647,X648,X649,X650)
| epred1_4(X650,X649,X648,X647)
| ~ epred2_4(X650,X649,X648,X647) )
& ( esk55_4(X647,X648,X649,X650) = vgensym(vapp(vapp(esk52_4(X647,X648,X649,X650),esk56_4(X647,X648,X649,X650)),vvar(esk51_4(X647,X648,X649,X650))))
| X649 = vabs(esk48_4(X647,X648,X649,X650),esk49_4(X647,X648,X649,X650),esk50_4(X647,X648,X649,X650))
| X648 = esk44_4(X647,X648,X649,X650)
| epred1_4(X650,X649,X648,X647)
| ~ epred2_4(X650,X649,X648,X647) )
& ( X650 = vsubst(esk51_4(X647,X648,X649,X650),esk52_4(X647,X648,X649,X650),vabs(esk55_4(X647,X648,X649,X650),esk53_4(X647,X648,X649,X650),vsubst(esk54_4(X647,X648,X649,X650),vvar(esk55_4(X647,X648,X649,X650)),esk56_4(X647,X648,X649,X650))))
| X649 = vabs(esk48_4(X647,X648,X649,X650),esk49_4(X647,X648,X649,X650),esk50_4(X647,X648,X649,X650))
| X648 = esk44_4(X647,X648,X649,X650)
| epred1_4(X650,X649,X648,X647)
| ~ epred2_4(X650,X649,X648,X647) )
& ( X647 = esk51_4(X647,X648,X649,X650)
| esk47_4(X647,X648,X649,X650) = esk48_4(X647,X648,X649,X650)
| X648 = esk44_4(X647,X648,X649,X650)
| epred1_4(X650,X649,X648,X647)
| ~ epred2_4(X650,X649,X648,X647) )
& ( X648 = esk52_4(X647,X648,X649,X650)
| esk47_4(X647,X648,X649,X650) = esk48_4(X647,X648,X649,X650)
| X648 = esk44_4(X647,X648,X649,X650)
| epred1_4(X650,X649,X648,X647)
| ~ epred2_4(X650,X649,X648,X647) )
& ( X649 = vabs(esk54_4(X647,X648,X649,X650),esk53_4(X647,X648,X649,X650),esk56_4(X647,X648,X649,X650))
| esk47_4(X647,X648,X649,X650) = esk48_4(X647,X648,X649,X650)
| X648 = esk44_4(X647,X648,X649,X650)
| epred1_4(X650,X649,X648,X647)
| ~ epred2_4(X650,X649,X648,X647) )
& ( esk51_4(X647,X648,X649,X650) != esk54_4(X647,X648,X649,X650)
| esk47_4(X647,X648,X649,X650) = esk48_4(X647,X648,X649,X650)
| X648 = esk44_4(X647,X648,X649,X650)
| epred1_4(X650,X649,X648,X647)
| ~ epred2_4(X650,X649,X648,X647) )
& ( visFreeVar(esk54_4(X647,X648,X649,X650),esk52_4(X647,X648,X649,X650))
| esk47_4(X647,X648,X649,X650) = esk48_4(X647,X648,X649,X650)
| X648 = esk44_4(X647,X648,X649,X650)
| epred1_4(X650,X649,X648,X647)
| ~ epred2_4(X650,X649,X648,X647) )
& ( esk55_4(X647,X648,X649,X650) = vgensym(vapp(vapp(esk52_4(X647,X648,X649,X650),esk56_4(X647,X648,X649,X650)),vvar(esk51_4(X647,X648,X649,X650))))
| esk47_4(X647,X648,X649,X650) = esk48_4(X647,X648,X649,X650)
| X648 = esk44_4(X647,X648,X649,X650)
| epred1_4(X650,X649,X648,X647)
| ~ epred2_4(X650,X649,X648,X647) )
& ( X650 = vsubst(esk51_4(X647,X648,X649,X650),esk52_4(X647,X648,X649,X650),vabs(esk55_4(X647,X648,X649,X650),esk53_4(X647,X648,X649,X650),vsubst(esk54_4(X647,X648,X649,X650),vvar(esk55_4(X647,X648,X649,X650)),esk56_4(X647,X648,X649,X650))))
| esk47_4(X647,X648,X649,X650) = esk48_4(X647,X648,X649,X650)
| X648 = esk44_4(X647,X648,X649,X650)
| epred1_4(X650,X649,X648,X647)
| ~ epred2_4(X650,X649,X648,X647) )
& ( X647 = esk51_4(X647,X648,X649,X650)
| X650 = vabs(esk48_4(X647,X648,X649,X650),esk49_4(X647,X648,X649,X650),esk50_4(X647,X648,X649,X650))
| X648 = esk44_4(X647,X648,X649,X650)
| epred1_4(X650,X649,X648,X647)
| ~ epred2_4(X650,X649,X648,X647) )
& ( X648 = esk52_4(X647,X648,X649,X650)
| X650 = vabs(esk48_4(X647,X648,X649,X650),esk49_4(X647,X648,X649,X650),esk50_4(X647,X648,X649,X650))
| X648 = esk44_4(X647,X648,X649,X650)
| epred1_4(X650,X649,X648,X647)
| ~ epred2_4(X650,X649,X648,X647) )
& ( X649 = vabs(esk54_4(X647,X648,X649,X650),esk53_4(X647,X648,X649,X650),esk56_4(X647,X648,X649,X650))
| X650 = vabs(esk48_4(X647,X648,X649,X650),esk49_4(X647,X648,X649,X650),esk50_4(X647,X648,X649,X650))
| X648 = esk44_4(X647,X648,X649,X650)
| epred1_4(X650,X649,X648,X647)
| ~ epred2_4(X650,X649,X648,X647) )
& ( esk51_4(X647,X648,X649,X650) != esk54_4(X647,X648,X649,X650)
| X650 = vabs(esk48_4(X647,X648,X649,X650),esk49_4(X647,X648,X649,X650),esk50_4(X647,X648,X649,X650))
| X648 = esk44_4(X647,X648,X649,X650)
| epred1_4(X650,X649,X648,X647)
| ~ epred2_4(X650,X649,X648,X647) )
& ( visFreeVar(esk54_4(X647,X648,X649,X650),esk52_4(X647,X648,X649,X650))
| X650 = vabs(esk48_4(X647,X648,X649,X650),esk49_4(X647,X648,X649,X650),esk50_4(X647,X648,X649,X650))
| X648 = esk44_4(X647,X648,X649,X650)
| epred1_4(X650,X649,X648,X647)
| ~ epred2_4(X650,X649,X648,X647) )
& ( esk55_4(X647,X648,X649,X650) = vgensym(vapp(vapp(esk52_4(X647,X648,X649,X650),esk56_4(X647,X648,X649,X650)),vvar(esk51_4(X647,X648,X649,X650))))
| X650 = vabs(esk48_4(X647,X648,X649,X650),esk49_4(X647,X648,X649,X650),esk50_4(X647,X648,X649,X650))
| X648 = esk44_4(X647,X648,X649,X650)
| epred1_4(X650,X649,X648,X647)
| ~ epred2_4(X650,X649,X648,X647) )
& ( X650 = vsubst(esk51_4(X647,X648,X649,X650),esk52_4(X647,X648,X649,X650),vabs(esk55_4(X647,X648,X649,X650),esk53_4(X647,X648,X649,X650),vsubst(esk54_4(X647,X648,X649,X650),vvar(esk55_4(X647,X648,X649,X650)),esk56_4(X647,X648,X649,X650))))
| X650 = vabs(esk48_4(X647,X648,X649,X650),esk49_4(X647,X648,X649,X650),esk50_4(X647,X648,X649,X650))
| X648 = esk44_4(X647,X648,X649,X650)
| epred1_4(X650,X649,X648,X647)
| ~ epred2_4(X650,X649,X648,X647) )
& ( X647 = esk51_4(X647,X648,X649,X650)
| X647 = esk47_4(X647,X648,X649,X650)
| X649 = vapp(esk42_4(X647,X648,X649,X650),esk45_4(X647,X648,X649,X650))
| epred1_4(X650,X649,X648,X647)
| ~ epred2_4(X650,X649,X648,X647) )
& ( X648 = esk52_4(X647,X648,X649,X650)
| X647 = esk47_4(X647,X648,X649,X650)
| X649 = vapp(esk42_4(X647,X648,X649,X650),esk45_4(X647,X648,X649,X650))
| epred1_4(X650,X649,X648,X647)
| ~ epred2_4(X650,X649,X648,X647) )
& ( X649 = vabs(esk54_4(X647,X648,X649,X650),esk53_4(X647,X648,X649,X650),esk56_4(X647,X648,X649,X650))
| X647 = esk47_4(X647,X648,X649,X650)
| X649 = vapp(esk42_4(X647,X648,X649,X650),esk45_4(X647,X648,X649,X650))
| epred1_4(X650,X649,X648,X647)
| ~ epred2_4(X650,X649,X648,X647) )
& ( esk51_4(X647,X648,X649,X650) != esk54_4(X647,X648,X649,X650)
| X647 = esk47_4(X647,X648,X649,X650)
| X649 = vapp(esk42_4(X647,X648,X649,X650),esk45_4(X647,X648,X649,X650))
| epred1_4(X650,X649,X648,X647)
| ~ epred2_4(X650,X649,X648,X647) )
& ( visFreeVar(esk54_4(X647,X648,X649,X650),esk52_4(X647,X648,X649,X650))
| X647 = esk47_4(X647,X648,X649,X650)
| X649 = vapp(esk42_4(X647,X648,X649,X650),esk45_4(X647,X648,X649,X650))
| epred1_4(X650,X649,X648,X647)
| ~ epred2_4(X650,X649,X648,X647) )
& ( esk55_4(X647,X648,X649,X650) = vgensym(vapp(vapp(esk52_4(X647,X648,X649,X650),esk56_4(X647,X648,X649,X650)),vvar(esk51_4(X647,X648,X649,X650))))
| X647 = esk47_4(X647,X648,X649,X650)
| X649 = vapp(esk42_4(X647,X648,X649,X650),esk45_4(X647,X648,X649,X650))
| epred1_4(X650,X649,X648,X647)
| ~ epred2_4(X650,X649,X648,X647) )
& ( X650 = vsubst(esk51_4(X647,X648,X649,X650),esk52_4(X647,X648,X649,X650),vabs(esk55_4(X647,X648,X649,X650),esk53_4(X647,X648,X649,X650),vsubst(esk54_4(X647,X648,X649,X650),vvar(esk55_4(X647,X648,X649,X650)),esk56_4(X647,X648,X649,X650))))
| X647 = esk47_4(X647,X648,X649,X650)
| X649 = vapp(esk42_4(X647,X648,X649,X650),esk45_4(X647,X648,X649,X650))
| epred1_4(X650,X649,X648,X647)
| ~ epred2_4(X650,X649,X648,X647) )
& ( X647 = esk51_4(X647,X648,X649,X650)
| X648 = esk46_4(X647,X648,X649,X650)
| X649 = vapp(esk42_4(X647,X648,X649,X650),esk45_4(X647,X648,X649,X650))
| epred1_4(X650,X649,X648,X647)
| ~ epred2_4(X650,X649,X648,X647) )
& ( X648 = esk52_4(X647,X648,X649,X650)
| X648 = esk46_4(X647,X648,X649,X650)
| X649 = vapp(esk42_4(X647,X648,X649,X650),esk45_4(X647,X648,X649,X650))
| epred1_4(X650,X649,X648,X647)
| ~ epred2_4(X650,X649,X648,X647) )
& ( X649 = vabs(esk54_4(X647,X648,X649,X650),esk53_4(X647,X648,X649,X650),esk56_4(X647,X648,X649,X650))
| X648 = esk46_4(X647,X648,X649,X650)
| X649 = vapp(esk42_4(X647,X648,X649,X650),esk45_4(X647,X648,X649,X650))
| epred1_4(X650,X649,X648,X647)
| ~ epred2_4(X650,X649,X648,X647) )
& ( esk51_4(X647,X648,X649,X650) != esk54_4(X647,X648,X649,X650)
| X648 = esk46_4(X647,X648,X649,X650)
| X649 = vapp(esk42_4(X647,X648,X649,X650),esk45_4(X647,X648,X649,X650))
| epred1_4(X650,X649,X648,X647)
| ~ epred2_4(X650,X649,X648,X647) )
& ( visFreeVar(esk54_4(X647,X648,X649,X650),esk52_4(X647,X648,X649,X650))
| X648 = esk46_4(X647,X648,X649,X650)
| X649 = vapp(esk42_4(X647,X648,X649,X650),esk45_4(X647,X648,X649,X650))
| epred1_4(X650,X649,X648,X647)
| ~ epred2_4(X650,X649,X648,X647) )
& ( esk55_4(X647,X648,X649,X650) = vgensym(vapp(vapp(esk52_4(X647,X648,X649,X650),esk56_4(X647,X648,X649,X650)),vvar(esk51_4(X647,X648,X649,X650))))
| X648 = esk46_4(X647,X648,X649,X650)
| X649 = vapp(esk42_4(X647,X648,X649,X650),esk45_4(X647,X648,X649,X650))
| epred1_4(X650,X649,X648,X647)
| ~ epred2_4(X650,X649,X648,X647) )
& ( X650 = vsubst(esk51_4(X647,X648,X649,X650),esk52_4(X647,X648,X649,X650),vabs(esk55_4(X647,X648,X649,X650),esk53_4(X647,X648,X649,X650),vsubst(esk54_4(X647,X648,X649,X650),vvar(esk55_4(X647,X648,X649,X650)),esk56_4(X647,X648,X649,X650))))
| X648 = esk46_4(X647,X648,X649,X650)
| X649 = vapp(esk42_4(X647,X648,X649,X650),esk45_4(X647,X648,X649,X650))
| epred1_4(X650,X649,X648,X647)
| ~ epred2_4(X650,X649,X648,X647) )
& ( X647 = esk51_4(X647,X648,X649,X650)
| X649 = vabs(esk48_4(X647,X648,X649,X650),esk49_4(X647,X648,X649,X650),esk50_4(X647,X648,X649,X650))
| X649 = vapp(esk42_4(X647,X648,X649,X650),esk45_4(X647,X648,X649,X650))
| epred1_4(X650,X649,X648,X647)
| ~ epred2_4(X650,X649,X648,X647) )
& ( X648 = esk52_4(X647,X648,X649,X650)
| X649 = vabs(esk48_4(X647,X648,X649,X650),esk49_4(X647,X648,X649,X650),esk50_4(X647,X648,X649,X650))
| X649 = vapp(esk42_4(X647,X648,X649,X650),esk45_4(X647,X648,X649,X650))
| epred1_4(X650,X649,X648,X647)
| ~ epred2_4(X650,X649,X648,X647) )
& ( X649 = vabs(esk54_4(X647,X648,X649,X650),esk53_4(X647,X648,X649,X650),esk56_4(X647,X648,X649,X650))
| X649 = vabs(esk48_4(X647,X648,X649,X650),esk49_4(X647,X648,X649,X650),esk50_4(X647,X648,X649,X650))
| X649 = vapp(esk42_4(X647,X648,X649,X650),esk45_4(X647,X648,X649,X650))
| epred1_4(X650,X649,X648,X647)
| ~ epred2_4(X650,X649,X648,X647) )
& ( esk51_4(X647,X648,X649,X650) != esk54_4(X647,X648,X649,X650)
| X649 = vabs(esk48_4(X647,X648,X649,X650),esk49_4(X647,X648,X649,X650),esk50_4(X647,X648,X649,X650))
| X649 = vapp(esk42_4(X647,X648,X649,X650),esk45_4(X647,X648,X649,X650))
| epred1_4(X650,X649,X648,X647)
| ~ epred2_4(X650,X649,X648,X647) )
& ( visFreeVar(esk54_4(X647,X648,X649,X650),esk52_4(X647,X648,X649,X650))
| X649 = vabs(esk48_4(X647,X648,X649,X650),esk49_4(X647,X648,X649,X650),esk50_4(X647,X648,X649,X650))
| X649 = vapp(esk42_4(X647,X648,X649,X650),esk45_4(X647,X648,X649,X650))
| epred1_4(X650,X649,X648,X647)
| ~ epred2_4(X650,X649,X648,X647) )
& ( esk55_4(X647,X648,X649,X650) = vgensym(vapp(vapp(esk52_4(X647,X648,X649,X650),esk56_4(X647,X648,X649,X650)),vvar(esk51_4(X647,X648,X649,X650))))
| X649 = vabs(esk48_4(X647,X648,X649,X650),esk49_4(X647,X648,X649,X650),esk50_4(X647,X648,X649,X650))
| X649 = vapp(esk42_4(X647,X648,X649,X650),esk45_4(X647,X648,X649,X650))
| epred1_4(X650,X649,X648,X647)
| ~ epred2_4(X650,X649,X648,X647) )
& ( X650 = vsubst(esk51_4(X647,X648,X649,X650),esk52_4(X647,X648,X649,X650),vabs(esk55_4(X647,X648,X649,X650),esk53_4(X647,X648,X649,X650),vsubst(esk54_4(X647,X648,X649,X650),vvar(esk55_4(X647,X648,X649,X650)),esk56_4(X647,X648,X649,X650))))
| X649 = vabs(esk48_4(X647,X648,X649,X650),esk49_4(X647,X648,X649,X650),esk50_4(X647,X648,X649,X650))
| X649 = vapp(esk42_4(X647,X648,X649,X650),esk45_4(X647,X648,X649,X650))
| epred1_4(X650,X649,X648,X647)
| ~ epred2_4(X650,X649,X648,X647) )
& ( X647 = esk51_4(X647,X648,X649,X650)
| esk47_4(X647,X648,X649,X650) = esk48_4(X647,X648,X649,X650)
| X649 = vapp(esk42_4(X647,X648,X649,X650),esk45_4(X647,X648,X649,X650))
| epred1_4(X650,X649,X648,X647)
| ~ epred2_4(X650,X649,X648,X647) )
& ( X648 = esk52_4(X647,X648,X649,X650)
| esk47_4(X647,X648,X649,X650) = esk48_4(X647,X648,X649,X650)
| X649 = vapp(esk42_4(X647,X648,X649,X650),esk45_4(X647,X648,X649,X650))
| epred1_4(X650,X649,X648,X647)
| ~ epred2_4(X650,X649,X648,X647) )
& ( X649 = vabs(esk54_4(X647,X648,X649,X650),esk53_4(X647,X648,X649,X650),esk56_4(X647,X648,X649,X650))
| esk47_4(X647,X648,X649,X650) = esk48_4(X647,X648,X649,X650)
| X649 = vapp(esk42_4(X647,X648,X649,X650),esk45_4(X647,X648,X649,X650))
| epred1_4(X650,X649,X648,X647)
| ~ epred2_4(X650,X649,X648,X647) )
& ( esk51_4(X647,X648,X649,X650) != esk54_4(X647,X648,X649,X650)
| esk47_4(X647,X648,X649,X650) = esk48_4(X647,X648,X649,X650)
| X649 = vapp(esk42_4(X647,X648,X649,X650),esk45_4(X647,X648,X649,X650))
| epred1_4(X650,X649,X648,X647)
| ~ epred2_4(X650,X649,X648,X647) )
& ( visFreeVar(esk54_4(X647,X648,X649,X650),esk52_4(X647,X648,X649,X650))
| esk47_4(X647,X648,X649,X650) = esk48_4(X647,X648,X649,X650)
| X649 = vapp(esk42_4(X647,X648,X649,X650),esk45_4(X647,X648,X649,X650))
| epred1_4(X650,X649,X648,X647)
| ~ epred2_4(X650,X649,X648,X647) )
& ( esk55_4(X647,X648,X649,X650) = vgensym(vapp(vapp(esk52_4(X647,X648,X649,X650),esk56_4(X647,X648,X649,X650)),vvar(esk51_4(X647,X648,X649,X650))))
| esk47_4(X647,X648,X649,X650) = esk48_4(X647,X648,X649,X650)
| X649 = vapp(esk42_4(X647,X648,X649,X650),esk45_4(X647,X648,X649,X650))
| epred1_4(X650,X649,X648,X647)
| ~ epred2_4(X650,X649,X648,X647) )
& ( X650 = vsubst(esk51_4(X647,X648,X649,X650),esk52_4(X647,X648,X649,X650),vabs(esk55_4(X647,X648,X649,X650),esk53_4(X647,X648,X649,X650),vsubst(esk54_4(X647,X648,X649,X650),vvar(esk55_4(X647,X648,X649,X650)),esk56_4(X647,X648,X649,X650))))
| esk47_4(X647,X648,X649,X650) = esk48_4(X647,X648,X649,X650)
| X649 = vapp(esk42_4(X647,X648,X649,X650),esk45_4(X647,X648,X649,X650))
| epred1_4(X650,X649,X648,X647)
| ~ epred2_4(X650,X649,X648,X647) )
& ( X647 = esk51_4(X647,X648,X649,X650)
| X650 = vabs(esk48_4(X647,X648,X649,X650),esk49_4(X647,X648,X649,X650),esk50_4(X647,X648,X649,X650))
| X649 = vapp(esk42_4(X647,X648,X649,X650),esk45_4(X647,X648,X649,X650))
| epred1_4(X650,X649,X648,X647)
| ~ epred2_4(X650,X649,X648,X647) )
& ( X648 = esk52_4(X647,X648,X649,X650)
| X650 = vabs(esk48_4(X647,X648,X649,X650),esk49_4(X647,X648,X649,X650),esk50_4(X647,X648,X649,X650))
| X649 = vapp(esk42_4(X647,X648,X649,X650),esk45_4(X647,X648,X649,X650))
| epred1_4(X650,X649,X648,X647)
| ~ epred2_4(X650,X649,X648,X647) )
& ( X649 = vabs(esk54_4(X647,X648,X649,X650),esk53_4(X647,X648,X649,X650),esk56_4(X647,X648,X649,X650))
| X650 = vabs(esk48_4(X647,X648,X649,X650),esk49_4(X647,X648,X649,X650),esk50_4(X647,X648,X649,X650))
| X649 = vapp(esk42_4(X647,X648,X649,X650),esk45_4(X647,X648,X649,X650))
| epred1_4(X650,X649,X648,X647)
| ~ epred2_4(X650,X649,X648,X647) )
& ( esk51_4(X647,X648,X649,X650) != esk54_4(X647,X648,X649,X650)
| X650 = vabs(esk48_4(X647,X648,X649,X650),esk49_4(X647,X648,X649,X650),esk50_4(X647,X648,X649,X650))
| X649 = vapp(esk42_4(X647,X648,X649,X650),esk45_4(X647,X648,X649,X650))
| epred1_4(X650,X649,X648,X647)
| ~ epred2_4(X650,X649,X648,X647) )
& ( visFreeVar(esk54_4(X647,X648,X649,X650),esk52_4(X647,X648,X649,X650))
| X650 = vabs(esk48_4(X647,X648,X649,X650),esk49_4(X647,X648,X649,X650),esk50_4(X647,X648,X649,X650))
| X649 = vapp(esk42_4(X647,X648,X649,X650),esk45_4(X647,X648,X649,X650))
| epred1_4(X650,X649,X648,X647)
| ~ epred2_4(X650,X649,X648,X647) )
& ( esk55_4(X647,X648,X649,X650) = vgensym(vapp(vapp(esk52_4(X647,X648,X649,X650),esk56_4(X647,X648,X649,X650)),vvar(esk51_4(X647,X648,X649,X650))))
| X650 = vabs(esk48_4(X647,X648,X649,X650),esk49_4(X647,X648,X649,X650),esk50_4(X647,X648,X649,X650))
| X649 = vapp(esk42_4(X647,X648,X649,X650),esk45_4(X647,X648,X649,X650))
| epred1_4(X650,X649,X648,X647)
| ~ epred2_4(X650,X649,X648,X647) )
& ( X650 = vsubst(esk51_4(X647,X648,X649,X650),esk52_4(X647,X648,X649,X650),vabs(esk55_4(X647,X648,X649,X650),esk53_4(X647,X648,X649,X650),vsubst(esk54_4(X647,X648,X649,X650),vvar(esk55_4(X647,X648,X649,X650)),esk56_4(X647,X648,X649,X650))))
| X650 = vabs(esk48_4(X647,X648,X649,X650),esk49_4(X647,X648,X649,X650),esk50_4(X647,X648,X649,X650))
| X649 = vapp(esk42_4(X647,X648,X649,X650),esk45_4(X647,X648,X649,X650))
| epred1_4(X650,X649,X648,X647)
| ~ epred2_4(X650,X649,X648,X647) )
& ( X647 = esk51_4(X647,X648,X649,X650)
| X647 = esk47_4(X647,X648,X649,X650)
| X650 = vapp(vsubst(esk43_4(X647,X648,X649,X650),esk44_4(X647,X648,X649,X650),esk42_4(X647,X648,X649,X650)),vsubst(esk43_4(X647,X648,X649,X650),esk44_4(X647,X648,X649,X650),esk45_4(X647,X648,X649,X650)))
| epred1_4(X650,X649,X648,X647)
| ~ epred2_4(X650,X649,X648,X647) )
& ( X648 = esk52_4(X647,X648,X649,X650)
| X647 = esk47_4(X647,X648,X649,X650)
| X650 = vapp(vsubst(esk43_4(X647,X648,X649,X650),esk44_4(X647,X648,X649,X650),esk42_4(X647,X648,X649,X650)),vsubst(esk43_4(X647,X648,X649,X650),esk44_4(X647,X648,X649,X650),esk45_4(X647,X648,X649,X650)))
| epred1_4(X650,X649,X648,X647)
| ~ epred2_4(X650,X649,X648,X647) )
& ( X649 = vabs(esk54_4(X647,X648,X649,X650),esk53_4(X647,X648,X649,X650),esk56_4(X647,X648,X649,X650))
| X647 = esk47_4(X647,X648,X649,X650)
| X650 = vapp(vsubst(esk43_4(X647,X648,X649,X650),esk44_4(X647,X648,X649,X650),esk42_4(X647,X648,X649,X650)),vsubst(esk43_4(X647,X648,X649,X650),esk44_4(X647,X648,X649,X650),esk45_4(X647,X648,X649,X650)))
| epred1_4(X650,X649,X648,X647)
| ~ epred2_4(X650,X649,X648,X647) )
& ( esk51_4(X647,X648,X649,X650) != esk54_4(X647,X648,X649,X650)
| X647 = esk47_4(X647,X648,X649,X650)
| X650 = vapp(vsubst(esk43_4(X647,X648,X649,X650),esk44_4(X647,X648,X649,X650),esk42_4(X647,X648,X649,X650)),vsubst(esk43_4(X647,X648,X649,X650),esk44_4(X647,X648,X649,X650),esk45_4(X647,X648,X649,X650)))
| epred1_4(X650,X649,X648,X647)
| ~ epred2_4(X650,X649,X648,X647) )
& ( visFreeVar(esk54_4(X647,X648,X649,X650),esk52_4(X647,X648,X649,X650))
| X647 = esk47_4(X647,X648,X649,X650)
| X650 = vapp(vsubst(esk43_4(X647,X648,X649,X650),esk44_4(X647,X648,X649,X650),esk42_4(X647,X648,X649,X650)),vsubst(esk43_4(X647,X648,X649,X650),esk44_4(X647,X648,X649,X650),esk45_4(X647,X648,X649,X650)))
| epred1_4(X650,X649,X648,X647)
| ~ epred2_4(X650,X649,X648,X647) )
& ( esk55_4(X647,X648,X649,X650) = vgensym(vapp(vapp(esk52_4(X647,X648,X649,X650),esk56_4(X647,X648,X649,X650)),vvar(esk51_4(X647,X648,X649,X650))))
| X647 = esk47_4(X647,X648,X649,X650)
| X650 = vapp(vsubst(esk43_4(X647,X648,X649,X650),esk44_4(X647,X648,X649,X650),esk42_4(X647,X648,X649,X650)),vsubst(esk43_4(X647,X648,X649,X650),esk44_4(X647,X648,X649,X650),esk45_4(X647,X648,X649,X650)))
| epred1_4(X650,X649,X648,X647)
| ~ epred2_4(X650,X649,X648,X647) )
& ( X650 = vsubst(esk51_4(X647,X648,X649,X650),esk52_4(X647,X648,X649,X650),vabs(esk55_4(X647,X648,X649,X650),esk53_4(X647,X648,X649,X650),vsubst(esk54_4(X647,X648,X649,X650),vvar(esk55_4(X647,X648,X649,X650)),esk56_4(X647,X648,X649,X650))))
| X647 = esk47_4(X647,X648,X649,X650)
| X650 = vapp(vsubst(esk43_4(X647,X648,X649,X650),esk44_4(X647,X648,X649,X650),esk42_4(X647,X648,X649,X650)),vsubst(esk43_4(X647,X648,X649,X650),esk44_4(X647,X648,X649,X650),esk45_4(X647,X648,X649,X650)))
| epred1_4(X650,X649,X648,X647)
| ~ epred2_4(X650,X649,X648,X647) )
& ( X647 = esk51_4(X647,X648,X649,X650)
| X648 = esk46_4(X647,X648,X649,X650)
| X650 = vapp(vsubst(esk43_4(X647,X648,X649,X650),esk44_4(X647,X648,X649,X650),esk42_4(X647,X648,X649,X650)),vsubst(esk43_4(X647,X648,X649,X650),esk44_4(X647,X648,X649,X650),esk45_4(X647,X648,X649,X650)))
| epred1_4(X650,X649,X648,X647)
| ~ epred2_4(X650,X649,X648,X647) )
& ( X648 = esk52_4(X647,X648,X649,X650)
| X648 = esk46_4(X647,X648,X649,X650)
| X650 = vapp(vsubst(esk43_4(X647,X648,X649,X650),esk44_4(X647,X648,X649,X650),esk42_4(X647,X648,X649,X650)),vsubst(esk43_4(X647,X648,X649,X650),esk44_4(X647,X648,X649,X650),esk45_4(X647,X648,X649,X650)))
| epred1_4(X650,X649,X648,X647)
| ~ epred2_4(X650,X649,X648,X647) )
& ( X649 = vabs(esk54_4(X647,X648,X649,X650),esk53_4(X647,X648,X649,X650),esk56_4(X647,X648,X649,X650))
| X648 = esk46_4(X647,X648,X649,X650)
| X650 = vapp(vsubst(esk43_4(X647,X648,X649,X650),esk44_4(X647,X648,X649,X650),esk42_4(X647,X648,X649,X650)),vsubst(esk43_4(X647,X648,X649,X650),esk44_4(X647,X648,X649,X650),esk45_4(X647,X648,X649,X650)))
| epred1_4(X650,X649,X648,X647)
| ~ epred2_4(X650,X649,X648,X647) )
& ( esk51_4(X647,X648,X649,X650) != esk54_4(X647,X648,X649,X650)
| X648 = esk46_4(X647,X648,X649,X650)
| X650 = vapp(vsubst(esk43_4(X647,X648,X649,X650),esk44_4(X647,X648,X649,X650),esk42_4(X647,X648,X649,X650)),vsubst(esk43_4(X647,X648,X649,X650),esk44_4(X647,X648,X649,X650),esk45_4(X647,X648,X649,X650)))
| epred1_4(X650,X649,X648,X647)
| ~ epred2_4(X650,X649,X648,X647) )
& ( visFreeVar(esk54_4(X647,X648,X649,X650),esk52_4(X647,X648,X649,X650))
| X648 = esk46_4(X647,X648,X649,X650)
| X650 = vapp(vsubst(esk43_4(X647,X648,X649,X650),esk44_4(X647,X648,X649,X650),esk42_4(X647,X648,X649,X650)),vsubst(esk43_4(X647,X648,X649,X650),esk44_4(X647,X648,X649,X650),esk45_4(X647,X648,X649,X650)))
| epred1_4(X650,X649,X648,X647)
| ~ epred2_4(X650,X649,X648,X647) )
& ( esk55_4(X647,X648,X649,X650) = vgensym(vapp(vapp(esk52_4(X647,X648,X649,X650),esk56_4(X647,X648,X649,X650)),vvar(esk51_4(X647,X648,X649,X650))))
| X648 = esk46_4(X647,X648,X649,X650)
| X650 = vapp(vsubst(esk43_4(X647,X648,X649,X650),esk44_4(X647,X648,X649,X650),esk42_4(X647,X648,X649,X650)),vsubst(esk43_4(X647,X648,X649,X650),esk44_4(X647,X648,X649,X650),esk45_4(X647,X648,X649,X650)))
| epred1_4(X650,X649,X648,X647)
| ~ epred2_4(X650,X649,X648,X647) )
& ( X650 = vsubst(esk51_4(X647,X648,X649,X650),esk52_4(X647,X648,X649,X650),vabs(esk55_4(X647,X648,X649,X650),esk53_4(X647,X648,X649,X650),vsubst(esk54_4(X647,X648,X649,X650),vvar(esk55_4(X647,X648,X649,X650)),esk56_4(X647,X648,X649,X650))))
| X648 = esk46_4(X647,X648,X649,X650)
| X650 = vapp(vsubst(esk43_4(X647,X648,X649,X650),esk44_4(X647,X648,X649,X650),esk42_4(X647,X648,X649,X650)),vsubst(esk43_4(X647,X648,X649,X650),esk44_4(X647,X648,X649,X650),esk45_4(X647,X648,X649,X650)))
| epred1_4(X650,X649,X648,X647)
| ~ epred2_4(X650,X649,X648,X647) )
& ( X647 = esk51_4(X647,X648,X649,X650)
| X649 = vabs(esk48_4(X647,X648,X649,X650),esk49_4(X647,X648,X649,X650),esk50_4(X647,X648,X649,X650))
| X650 = vapp(vsubst(esk43_4(X647,X648,X649,X650),esk44_4(X647,X648,X649,X650),esk42_4(X647,X648,X649,X650)),vsubst(esk43_4(X647,X648,X649,X650),esk44_4(X647,X648,X649,X650),esk45_4(X647,X648,X649,X650)))
| epred1_4(X650,X649,X648,X647)
| ~ epred2_4(X650,X649,X648,X647) )
& ( X648 = esk52_4(X647,X648,X649,X650)
| X649 = vabs(esk48_4(X647,X648,X649,X650),esk49_4(X647,X648,X649,X650),esk50_4(X647,X648,X649,X650))
| X650 = vapp(vsubst(esk43_4(X647,X648,X649,X650),esk44_4(X647,X648,X649,X650),esk42_4(X647,X648,X649,X650)),vsubst(esk43_4(X647,X648,X649,X650),esk44_4(X647,X648,X649,X650),esk45_4(X647,X648,X649,X650)))
| epred1_4(X650,X649,X648,X647)
| ~ epred2_4(X650,X649,X648,X647) )
& ( X649 = vabs(esk54_4(X647,X648,X649,X650),esk53_4(X647,X648,X649,X650),esk56_4(X647,X648,X649,X650))
| X649 = vabs(esk48_4(X647,X648,X649,X650),esk49_4(X647,X648,X649,X650),esk50_4(X647,X648,X649,X650))
| X650 = vapp(vsubst(esk43_4(X647,X648,X649,X650),esk44_4(X647,X648,X649,X650),esk42_4(X647,X648,X649,X650)),vsubst(esk43_4(X647,X648,X649,X650),esk44_4(X647,X648,X649,X650),esk45_4(X647,X648,X649,X650)))
| epred1_4(X650,X649,X648,X647)
| ~ epred2_4(X650,X649,X648,X647) )
& ( esk51_4(X647,X648,X649,X650) != esk54_4(X647,X648,X649,X650)
| X649 = vabs(esk48_4(X647,X648,X649,X650),esk49_4(X647,X648,X649,X650),esk50_4(X647,X648,X649,X650))
| X650 = vapp(vsubst(esk43_4(X647,X648,X649,X650),esk44_4(X647,X648,X649,X650),esk42_4(X647,X648,X649,X650)),vsubst(esk43_4(X647,X648,X649,X650),esk44_4(X647,X648,X649,X650),esk45_4(X647,X648,X649,X650)))
| epred1_4(X650,X649,X648,X647)
| ~ epred2_4(X650,X649,X648,X647) )
& ( visFreeVar(esk54_4(X647,X648,X649,X650),esk52_4(X647,X648,X649,X650))
| X649 = vabs(esk48_4(X647,X648,X649,X650),esk49_4(X647,X648,X649,X650),esk50_4(X647,X648,X649,X650))
| X650 = vapp(vsubst(esk43_4(X647,X648,X649,X650),esk44_4(X647,X648,X649,X650),esk42_4(X647,X648,X649,X650)),vsubst(esk43_4(X647,X648,X649,X650),esk44_4(X647,X648,X649,X650),esk45_4(X647,X648,X649,X650)))
| epred1_4(X650,X649,X648,X647)
| ~ epred2_4(X650,X649,X648,X647) )
& ( esk55_4(X647,X648,X649,X650) = vgensym(vapp(vapp(esk52_4(X647,X648,X649,X650),esk56_4(X647,X648,X649,X650)),vvar(esk51_4(X647,X648,X649,X650))))
| X649 = vabs(esk48_4(X647,X648,X649,X650),esk49_4(X647,X648,X649,X650),esk50_4(X647,X648,X649,X650))
| X650 = vapp(vsubst(esk43_4(X647,X648,X649,X650),esk44_4(X647,X648,X649,X650),esk42_4(X647,X648,X649,X650)),vsubst(esk43_4(X647,X648,X649,X650),esk44_4(X647,X648,X649,X650),esk45_4(X647,X648,X649,X650)))
| epred1_4(X650,X649,X648,X647)
| ~ epred2_4(X650,X649,X648,X647) )
& ( X650 = vsubst(esk51_4(X647,X648,X649,X650),esk52_4(X647,X648,X649,X650),vabs(esk55_4(X647,X648,X649,X650),esk53_4(X647,X648,X649,X650),vsubst(esk54_4(X647,X648,X649,X650),vvar(esk55_4(X647,X648,X649,X650)),esk56_4(X647,X648,X649,X650))))
| X649 = vabs(esk48_4(X647,X648,X649,X650),esk49_4(X647,X648,X649,X650),esk50_4(X647,X648,X649,X650))
| X650 = vapp(vsubst(esk43_4(X647,X648,X649,X650),esk44_4(X647,X648,X649,X650),esk42_4(X647,X648,X649,X650)),vsubst(esk43_4(X647,X648,X649,X650),esk44_4(X647,X648,X649,X650),esk45_4(X647,X648,X649,X650)))
| epred1_4(X650,X649,X648,X647)
| ~ epred2_4(X650,X649,X648,X647) )
& ( X647 = esk51_4(X647,X648,X649,X650)
| esk47_4(X647,X648,X649,X650) = esk48_4(X647,X648,X649,X650)
| X650 = vapp(vsubst(esk43_4(X647,X648,X649,X650),esk44_4(X647,X648,X649,X650),esk42_4(X647,X648,X649,X650)),vsubst(esk43_4(X647,X648,X649,X650),esk44_4(X647,X648,X649,X650),esk45_4(X647,X648,X649,X650)))
| epred1_4(X650,X649,X648,X647)
| ~ epred2_4(X650,X649,X648,X647) )
& ( X648 = esk52_4(X647,X648,X649,X650)
| esk47_4(X647,X648,X649,X650) = esk48_4(X647,X648,X649,X650)
| X650 = vapp(vsubst(esk43_4(X647,X648,X649,X650),esk44_4(X647,X648,X649,X650),esk42_4(X647,X648,X649,X650)),vsubst(esk43_4(X647,X648,X649,X650),esk44_4(X647,X648,X649,X650),esk45_4(X647,X648,X649,X650)))
| epred1_4(X650,X649,X648,X647)
| ~ epred2_4(X650,X649,X648,X647) )
& ( X649 = vabs(esk54_4(X647,X648,X649,X650),esk53_4(X647,X648,X649,X650),esk56_4(X647,X648,X649,X650))
| esk47_4(X647,X648,X649,X650) = esk48_4(X647,X648,X649,X650)
| X650 = vapp(vsubst(esk43_4(X647,X648,X649,X650),esk44_4(X647,X648,X649,X650),esk42_4(X647,X648,X649,X650)),vsubst(esk43_4(X647,X648,X649,X650),esk44_4(X647,X648,X649,X650),esk45_4(X647,X648,X649,X650)))
| epred1_4(X650,X649,X648,X647)
| ~ epred2_4(X650,X649,X648,X647) )
& ( esk51_4(X647,X648,X649,X650) != esk54_4(X647,X648,X649,X650)
| esk47_4(X647,X648,X649,X650) = esk48_4(X647,X648,X649,X650)
| X650 = vapp(vsubst(esk43_4(X647,X648,X649,X650),esk44_4(X647,X648,X649,X650),esk42_4(X647,X648,X649,X650)),vsubst(esk43_4(X647,X648,X649,X650),esk44_4(X647,X648,X649,X650),esk45_4(X647,X648,X649,X650)))
| epred1_4(X650,X649,X648,X647)
| ~ epred2_4(X650,X649,X648,X647) )
& ( visFreeVar(esk54_4(X647,X648,X649,X650),esk52_4(X647,X648,X649,X650))
| esk47_4(X647,X648,X649,X650) = esk48_4(X647,X648,X649,X650)
| X650 = vapp(vsubst(esk43_4(X647,X648,X649,X650),esk44_4(X647,X648,X649,X650),esk42_4(X647,X648,X649,X650)),vsubst(esk43_4(X647,X648,X649,X650),esk44_4(X647,X648,X649,X650),esk45_4(X647,X648,X649,X650)))
| epred1_4(X650,X649,X648,X647)
| ~ epred2_4(X650,X649,X648,X647) )
& ( esk55_4(X647,X648,X649,X650) = vgensym(vapp(vapp(esk52_4(X647,X648,X649,X650),esk56_4(X647,X648,X649,X650)),vvar(esk51_4(X647,X648,X649,X650))))
| esk47_4(X647,X648,X649,X650) = esk48_4(X647,X648,X649,X650)
| X650 = vapp(vsubst(esk43_4(X647,X648,X649,X650),esk44_4(X647,X648,X649,X650),esk42_4(X647,X648,X649,X650)),vsubst(esk43_4(X647,X648,X649,X650),esk44_4(X647,X648,X649,X650),esk45_4(X647,X648,X649,X650)))
| epred1_4(X650,X649,X648,X647)
| ~ epred2_4(X650,X649,X648,X647) )
& ( X650 = vsubst(esk51_4(X647,X648,X649,X650),esk52_4(X647,X648,X649,X650),vabs(esk55_4(X647,X648,X649,X650),esk53_4(X647,X648,X649,X650),vsubst(esk54_4(X647,X648,X649,X650),vvar(esk55_4(X647,X648,X649,X650)),esk56_4(X647,X648,X649,X650))))
| esk47_4(X647,X648,X649,X650) = esk48_4(X647,X648,X649,X650)
| X650 = vapp(vsubst(esk43_4(X647,X648,X649,X650),esk44_4(X647,X648,X649,X650),esk42_4(X647,X648,X649,X650)),vsubst(esk43_4(X647,X648,X649,X650),esk44_4(X647,X648,X649,X650),esk45_4(X647,X648,X649,X650)))
| epred1_4(X650,X649,X648,X647)
| ~ epred2_4(X650,X649,X648,X647) )
& ( X647 = esk51_4(X647,X648,X649,X650)
| X650 = vabs(esk48_4(X647,X648,X649,X650),esk49_4(X647,X648,X649,X650),esk50_4(X647,X648,X649,X650))
| X650 = vapp(vsubst(esk43_4(X647,X648,X649,X650),esk44_4(X647,X648,X649,X650),esk42_4(X647,X648,X649,X650)),vsubst(esk43_4(X647,X648,X649,X650),esk44_4(X647,X648,X649,X650),esk45_4(X647,X648,X649,X650)))
| epred1_4(X650,X649,X648,X647)
| ~ epred2_4(X650,X649,X648,X647) )
& ( X648 = esk52_4(X647,X648,X649,X650)
| X650 = vabs(esk48_4(X647,X648,X649,X650),esk49_4(X647,X648,X649,X650),esk50_4(X647,X648,X649,X650))
| X650 = vapp(vsubst(esk43_4(X647,X648,X649,X650),esk44_4(X647,X648,X649,X650),esk42_4(X647,X648,X649,X650)),vsubst(esk43_4(X647,X648,X649,X650),esk44_4(X647,X648,X649,X650),esk45_4(X647,X648,X649,X650)))
| epred1_4(X650,X649,X648,X647)
| ~ epred2_4(X650,X649,X648,X647) )
& ( X649 = vabs(esk54_4(X647,X648,X649,X650),esk53_4(X647,X648,X649,X650),esk56_4(X647,X648,X649,X650))
| X650 = vabs(esk48_4(X647,X648,X649,X650),esk49_4(X647,X648,X649,X650),esk50_4(X647,X648,X649,X650))
| X650 = vapp(vsubst(esk43_4(X647,X648,X649,X650),esk44_4(X647,X648,X649,X650),esk42_4(X647,X648,X649,X650)),vsubst(esk43_4(X647,X648,X649,X650),esk44_4(X647,X648,X649,X650),esk45_4(X647,X648,X649,X650)))
| epred1_4(X650,X649,X648,X647)
| ~ epred2_4(X650,X649,X648,X647) )
& ( esk51_4(X647,X648,X649,X650) != esk54_4(X647,X648,X649,X650)
| X650 = vabs(esk48_4(X647,X648,X649,X650),esk49_4(X647,X648,X649,X650),esk50_4(X647,X648,X649,X650))
| X650 = vapp(vsubst(esk43_4(X647,X648,X649,X650),esk44_4(X647,X648,X649,X650),esk42_4(X647,X648,X649,X650)),vsubst(esk43_4(X647,X648,X649,X650),esk44_4(X647,X648,X649,X650),esk45_4(X647,X648,X649,X650)))
| epred1_4(X650,X649,X648,X647)
| ~ epred2_4(X650,X649,X648,X647) )
& ( visFreeVar(esk54_4(X647,X648,X649,X650),esk52_4(X647,X648,X649,X650))
| X650 = vabs(esk48_4(X647,X648,X649,X650),esk49_4(X647,X648,X649,X650),esk50_4(X647,X648,X649,X650))
| X650 = vapp(vsubst(esk43_4(X647,X648,X649,X650),esk44_4(X647,X648,X649,X650),esk42_4(X647,X648,X649,X650)),vsubst(esk43_4(X647,X648,X649,X650),esk44_4(X647,X648,X649,X650),esk45_4(X647,X648,X649,X650)))
| epred1_4(X650,X649,X648,X647)
| ~ epred2_4(X650,X649,X648,X647) )
& ( esk55_4(X647,X648,X649,X650) = vgensym(vapp(vapp(esk52_4(X647,X648,X649,X650),esk56_4(X647,X648,X649,X650)),vvar(esk51_4(X647,X648,X649,X650))))
| X650 = vabs(esk48_4(X647,X648,X649,X650),esk49_4(X647,X648,X649,X650),esk50_4(X647,X648,X649,X650))
| X650 = vapp(vsubst(esk43_4(X647,X648,X649,X650),esk44_4(X647,X648,X649,X650),esk42_4(X647,X648,X649,X650)),vsubst(esk43_4(X647,X648,X649,X650),esk44_4(X647,X648,X649,X650),esk45_4(X647,X648,X649,X650)))
| epred1_4(X650,X649,X648,X647)
| ~ epred2_4(X650,X649,X648,X647) )
& ( X650 = vsubst(esk51_4(X647,X648,X649,X650),esk52_4(X647,X648,X649,X650),vabs(esk55_4(X647,X648,X649,X650),esk53_4(X647,X648,X649,X650),vsubst(esk54_4(X647,X648,X649,X650),vvar(esk55_4(X647,X648,X649,X650)),esk56_4(X647,X648,X649,X650))))
| X650 = vabs(esk48_4(X647,X648,X649,X650),esk49_4(X647,X648,X649,X650),esk50_4(X647,X648,X649,X650))
| X650 = vapp(vsubst(esk43_4(X647,X648,X649,X650),esk44_4(X647,X648,X649,X650),esk42_4(X647,X648,X649,X650)),vsubst(esk43_4(X647,X648,X649,X650),esk44_4(X647,X648,X649,X650),esk45_4(X647,X648,X649,X650)))
| epred1_4(X650,X649,X648,X647)
| ~ epred2_4(X650,X649,X648,X647) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_60])])])]) ).
fof(i_0_79,plain,
! [X568,X569,X570,X571,X572] :
( X569 != vapp(X568,X572)
| X568 = vabs(esk15_5(X568,X569,X570,X571,X572),esk16_5(X568,X569,X570,X571,X572),esk17_5(X568,X569,X570,X571,X572))
| X571 != vreduce(X568)
| ~ visSomeExp(X571)
| X570 != vreduce(X569)
| X570 = vsomeExp(vapp(vgetSomeExp(X571),X572)) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[reduce5])])]) ).
fof(i_0_80,plain,
! [X521,X522,X523,X524] :
( ( X521 = esk12_4(X521,X522,X523,X524)
| epred2_4(X524,X523,X522,X521)
| vsubst(X521,X522,X523) != X524 )
& ( X522 = esk13_4(X521,X522,X523,X524)
| epred2_4(X524,X523,X522,X521)
| vsubst(X521,X522,X523) != X524 )
& ( X523 = vabs(esk10_4(X521,X522,X523,X524),esk11_4(X521,X522,X523,X524),esk14_4(X521,X522,X523,X524))
| epred2_4(X524,X523,X522,X521)
| vsubst(X521,X522,X523) != X524 )
& ( esk12_4(X521,X522,X523,X524) != esk10_4(X521,X522,X523,X524)
| epred2_4(X524,X523,X522,X521)
| vsubst(X521,X522,X523) != X524 )
& ( ~ visFreeVar(esk10_4(X521,X522,X523,X524),esk13_4(X521,X522,X523,X524))
| epred2_4(X524,X523,X522,X521)
| vsubst(X521,X522,X523) != X524 )
& ( X524 = vabs(esk10_4(X521,X522,X523,X524),esk11_4(X521,X522,X523,X524),vsubst(esk12_4(X521,X522,X523,X524),esk13_4(X521,X522,X523,X524),esk14_4(X521,X522,X523,X524)))
| epred2_4(X524,X523,X522,X521)
| vsubst(X521,X522,X523) != X524 ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_61])])])]) ).
fof(i_0_81,plain,
! [X637,X638,X639,X640] :
( ( X637 = esk40_4(X637,X638,X639,X640)
| X637 = esk36_4(X637,X638,X639,X640)
| ~ epred1_4(X640,X639,X638,X637) )
& ( X638 = esk39_4(X637,X638,X639,X640)
| X637 = esk36_4(X637,X638,X639,X640)
| ~ epred1_4(X640,X639,X638,X637) )
& ( X639 = vvar(esk41_4(X637,X638,X639,X640))
| X637 = esk36_4(X637,X638,X639,X640)
| ~ epred1_4(X640,X639,X638,X637) )
& ( esk40_4(X637,X638,X639,X640) != esk41_4(X637,X638,X639,X640)
| X637 = esk36_4(X637,X638,X639,X640)
| ~ epred1_4(X640,X639,X638,X637) )
& ( X640 = vvar(esk41_4(X637,X638,X639,X640))
| X637 = esk36_4(X637,X638,X639,X640)
| ~ epred1_4(X640,X639,X638,X637) )
& ( X637 = esk40_4(X637,X638,X639,X640)
| X638 = esk38_4(X637,X638,X639,X640)
| ~ epred1_4(X640,X639,X638,X637) )
& ( X638 = esk39_4(X637,X638,X639,X640)
| X638 = esk38_4(X637,X638,X639,X640)
| ~ epred1_4(X640,X639,X638,X637) )
& ( X639 = vvar(esk41_4(X637,X638,X639,X640))
| X638 = esk38_4(X637,X638,X639,X640)
| ~ epred1_4(X640,X639,X638,X637) )
& ( esk40_4(X637,X638,X639,X640) != esk41_4(X637,X638,X639,X640)
| X638 = esk38_4(X637,X638,X639,X640)
| ~ epred1_4(X640,X639,X638,X637) )
& ( X640 = vvar(esk41_4(X637,X638,X639,X640))
| X638 = esk38_4(X637,X638,X639,X640)
| ~ epred1_4(X640,X639,X638,X637) )
& ( X637 = esk40_4(X637,X638,X639,X640)
| X639 = vvar(esk37_4(X637,X638,X639,X640))
| ~ epred1_4(X640,X639,X638,X637) )
& ( X638 = esk39_4(X637,X638,X639,X640)
| X639 = vvar(esk37_4(X637,X638,X639,X640))
| ~ epred1_4(X640,X639,X638,X637) )
& ( X639 = vvar(esk41_4(X637,X638,X639,X640))
| X639 = vvar(esk37_4(X637,X638,X639,X640))
| ~ epred1_4(X640,X639,X638,X637) )
& ( esk40_4(X637,X638,X639,X640) != esk41_4(X637,X638,X639,X640)
| X639 = vvar(esk37_4(X637,X638,X639,X640))
| ~ epred1_4(X640,X639,X638,X637) )
& ( X640 = vvar(esk41_4(X637,X638,X639,X640))
| X639 = vvar(esk37_4(X637,X638,X639,X640))
| ~ epred1_4(X640,X639,X638,X637) )
& ( X637 = esk40_4(X637,X638,X639,X640)
| esk36_4(X637,X638,X639,X640) = esk37_4(X637,X638,X639,X640)
| ~ epred1_4(X640,X639,X638,X637) )
& ( X638 = esk39_4(X637,X638,X639,X640)
| esk36_4(X637,X638,X639,X640) = esk37_4(X637,X638,X639,X640)
| ~ epred1_4(X640,X639,X638,X637) )
& ( X639 = vvar(esk41_4(X637,X638,X639,X640))
| esk36_4(X637,X638,X639,X640) = esk37_4(X637,X638,X639,X640)
| ~ epred1_4(X640,X639,X638,X637) )
& ( esk40_4(X637,X638,X639,X640) != esk41_4(X637,X638,X639,X640)
| esk36_4(X637,X638,X639,X640) = esk37_4(X637,X638,X639,X640)
| ~ epred1_4(X640,X639,X638,X637) )
& ( X640 = vvar(esk41_4(X637,X638,X639,X640))
| esk36_4(X637,X638,X639,X640) = esk37_4(X637,X638,X639,X640)
| ~ epred1_4(X640,X639,X638,X637) )
& ( X637 = esk40_4(X637,X638,X639,X640)
| X640 = esk38_4(X637,X638,X639,X640)
| ~ epred1_4(X640,X639,X638,X637) )
& ( X638 = esk39_4(X637,X638,X639,X640)
| X640 = esk38_4(X637,X638,X639,X640)
| ~ epred1_4(X640,X639,X638,X637) )
& ( X639 = vvar(esk41_4(X637,X638,X639,X640))
| X640 = esk38_4(X637,X638,X639,X640)
| ~ epred1_4(X640,X639,X638,X637) )
& ( esk40_4(X637,X638,X639,X640) != esk41_4(X637,X638,X639,X640)
| X640 = esk38_4(X637,X638,X639,X640)
| ~ epred1_4(X640,X639,X638,X637) )
& ( X640 = vvar(esk41_4(X637,X638,X639,X640))
| X640 = esk38_4(X637,X638,X639,X640)
| ~ epred1_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_62])])])]) ).
fof(i_0_82,plain,
! [X576,X577,X578,X579,X583] :
( X579 != vapp(X577,X576)
| X577 = vabs(esk18_4(X576,X577,X578,X579),esk19_4(X576,X577,X578,X579),esk20_4(X576,X577,X578,X579))
| X578 != vreduce(X577)
| visSomeExp(X578)
| X583 != vreduce(X579)
| X583 = vnoExp ),
inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_63])])])])]) ).
fof(i_0_83,plain,
! [X609,X610,X611] :
( ( X609 = vapp(esk29_3(X609,X610,X611),esk30_3(X609,X610,X611))
| X609 = vabs(esk25_3(X609,X610,X611),esk27_3(X609,X610,X611),esk26_3(X609,X610,X611))
| X609 = vvar(esk24_3(X609,X610,X611))
| ~ vtcheck(X611,X609,X610) )
& ( vtcheck(X611,esk29_3(X609,X610,X611),varrow(esk31_3(X609,X610,X611),X610))
| X609 = vabs(esk25_3(X609,X610,X611),esk27_3(X609,X610,X611),esk26_3(X609,X610,X611))
| X609 = vvar(esk24_3(X609,X610,X611))
| ~ vtcheck(X611,X609,X610) )
& ( vtcheck(X611,esk30_3(X609,X610,X611),esk31_3(X609,X610,X611))
| X609 = vabs(esk25_3(X609,X610,X611),esk27_3(X609,X610,X611),esk26_3(X609,X610,X611))
| X609 = vvar(esk24_3(X609,X610,X611))
| ~ vtcheck(X611,X609,X610) )
& ( X609 = vapp(esk29_3(X609,X610,X611),esk30_3(X609,X610,X611))
| X610 = varrow(esk27_3(X609,X610,X611),esk28_3(X609,X610,X611))
| X609 = vvar(esk24_3(X609,X610,X611))
| ~ vtcheck(X611,X609,X610) )
& ( vtcheck(X611,esk29_3(X609,X610,X611),varrow(esk31_3(X609,X610,X611),X610))
| X610 = varrow(esk27_3(X609,X610,X611),esk28_3(X609,X610,X611))
| X609 = vvar(esk24_3(X609,X610,X611))
| ~ vtcheck(X611,X609,X610) )
& ( vtcheck(X611,esk30_3(X609,X610,X611),esk31_3(X609,X610,X611))
| X610 = varrow(esk27_3(X609,X610,X611),esk28_3(X609,X610,X611))
| X609 = vvar(esk24_3(X609,X610,X611))
| ~ vtcheck(X611,X609,X610) )
& ( X609 = vapp(esk29_3(X609,X610,X611),esk30_3(X609,X610,X611))
| vtcheck(vbind(esk25_3(X609,X610,X611),esk27_3(X609,X610,X611),X611),esk26_3(X609,X610,X611),esk28_3(X609,X610,X611))
| X609 = vvar(esk24_3(X609,X610,X611))
| ~ vtcheck(X611,X609,X610) )
& ( vtcheck(X611,esk29_3(X609,X610,X611),varrow(esk31_3(X609,X610,X611),X610))
| vtcheck(vbind(esk25_3(X609,X610,X611),esk27_3(X609,X610,X611),X611),esk26_3(X609,X610,X611),esk28_3(X609,X610,X611))
| X609 = vvar(esk24_3(X609,X610,X611))
| ~ vtcheck(X611,X609,X610) )
& ( vtcheck(X611,esk30_3(X609,X610,X611),esk31_3(X609,X610,X611))
| vtcheck(vbind(esk25_3(X609,X610,X611),esk27_3(X609,X610,X611),X611),esk26_3(X609,X610,X611),esk28_3(X609,X610,X611))
| X609 = vvar(esk24_3(X609,X610,X611))
| ~ vtcheck(X611,X609,X610) )
& ( X609 = vapp(esk29_3(X609,X610,X611),esk30_3(X609,X610,X611))
| X609 = vabs(esk25_3(X609,X610,X611),esk27_3(X609,X610,X611),esk26_3(X609,X610,X611))
| vlookup(esk24_3(X609,X610,X611),X611) = vsomeType(X610)
| ~ vtcheck(X611,X609,X610) )
& ( vtcheck(X611,esk29_3(X609,X610,X611),varrow(esk31_3(X609,X610,X611),X610))
| X609 = vabs(esk25_3(X609,X610,X611),esk27_3(X609,X610,X611),esk26_3(X609,X610,X611))
| vlookup(esk24_3(X609,X610,X611),X611) = vsomeType(X610)
| ~ vtcheck(X611,X609,X610) )
& ( vtcheck(X611,esk30_3(X609,X610,X611),esk31_3(X609,X610,X611))
| X609 = vabs(esk25_3(X609,X610,X611),esk27_3(X609,X610,X611),esk26_3(X609,X610,X611))
| vlookup(esk24_3(X609,X610,X611),X611) = vsomeType(X610)
| ~ vtcheck(X611,X609,X610) )
& ( X609 = vapp(esk29_3(X609,X610,X611),esk30_3(X609,X610,X611))
| X610 = varrow(esk27_3(X609,X610,X611),esk28_3(X609,X610,X611))
| vlookup(esk24_3(X609,X610,X611),X611) = vsomeType(X610)
| ~ vtcheck(X611,X609,X610) )
& ( vtcheck(X611,esk29_3(X609,X610,X611),varrow(esk31_3(X609,X610,X611),X610))
| X610 = varrow(esk27_3(X609,X610,X611),esk28_3(X609,X610,X611))
| vlookup(esk24_3(X609,X610,X611),X611) = vsomeType(X610)
| ~ vtcheck(X611,X609,X610) )
& ( vtcheck(X611,esk30_3(X609,X610,X611),esk31_3(X609,X610,X611))
| X610 = varrow(esk27_3(X609,X610,X611),esk28_3(X609,X610,X611))
| vlookup(esk24_3(X609,X610,X611),X611) = vsomeType(X610)
| ~ vtcheck(X611,X609,X610) )
& ( X609 = vapp(esk29_3(X609,X610,X611),esk30_3(X609,X610,X611))
| vtcheck(vbind(esk25_3(X609,X610,X611),esk27_3(X609,X610,X611),X611),esk26_3(X609,X610,X611),esk28_3(X609,X610,X611))
| vlookup(esk24_3(X609,X610,X611),X611) = vsomeType(X610)
| ~ vtcheck(X611,X609,X610) )
& ( vtcheck(X611,esk29_3(X609,X610,X611),varrow(esk31_3(X609,X610,X611),X610))
| vtcheck(vbind(esk25_3(X609,X610,X611),esk27_3(X609,X610,X611),X611),esk26_3(X609,X610,X611),esk28_3(X609,X610,X611))
| vlookup(esk24_3(X609,X610,X611),X611) = vsomeType(X610)
| ~ vtcheck(X611,X609,X610) )
& ( vtcheck(X611,esk30_3(X609,X610,X611),esk31_3(X609,X610,X611))
| vtcheck(vbind(esk25_3(X609,X610,X611),esk27_3(X609,X610,X611),X611),esk26_3(X609,X610,X611),esk28_3(X609,X610,X611))
| vlookup(esk24_3(X609,X610,X611),X611) = vsomeType(X610)
| ~ vtcheck(X611,X609,X610) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['T-inv'])])])]) ).
cnf(i_0_84,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_64]) ).
fof(i_0_85,plain,
! [X462,X463,X464,X465,X466,X467,X468] :
( X464 = X462
| ~ vtcheck(vbind(X464,X465,vbind(X462,X463,X466)),X467,X468)
| vtcheck(vbind(X462,X463,vbind(X464,X465,X466)),X467,X468) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['T-Context-Swap'])]) ).
cnf(i_0_86,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_64]) ).
fof(i_0_87,plain,
! [X443,X444,X445] :
( ( X443 = esk8_3(X443,X444,X445)
| X443 = esk3_3(X443,X444,X445)
| X443 = esk1_3(X443,X444,X445)
| vlookup(X443,X444) != X445 )
& ( X444 = vbind(esk7_3(X443,X444,X445),esk6_3(X443,X444,X445),esk9_3(X443,X444,X445))
| X443 = esk3_3(X443,X444,X445)
| X443 = esk1_3(X443,X444,X445)
| vlookup(X443,X444) != X445 )
& ( esk8_3(X443,X444,X445) != esk7_3(X443,X444,X445)
| X443 = esk3_3(X443,X444,X445)
| X443 = esk1_3(X443,X444,X445)
| vlookup(X443,X444) != X445 )
& ( X445 = vlookup(esk8_3(X443,X444,X445),esk9_3(X443,X444,X445))
| X443 = esk3_3(X443,X444,X445)
| X443 = esk1_3(X443,X444,X445)
| vlookup(X443,X444) != X445 )
& ( X443 = esk8_3(X443,X444,X445)
| X444 = vbind(esk4_3(X443,X444,X445),esk5_3(X443,X444,X445),esk2_3(X443,X444,X445))
| X443 = esk1_3(X443,X444,X445)
| vlookup(X443,X444) != X445 )
& ( X444 = vbind(esk7_3(X443,X444,X445),esk6_3(X443,X444,X445),esk9_3(X443,X444,X445))
| X444 = vbind(esk4_3(X443,X444,X445),esk5_3(X443,X444,X445),esk2_3(X443,X444,X445))
| X443 = esk1_3(X443,X444,X445)
| vlookup(X443,X444) != X445 )
& ( esk8_3(X443,X444,X445) != esk7_3(X443,X444,X445)
| X444 = vbind(esk4_3(X443,X444,X445),esk5_3(X443,X444,X445),esk2_3(X443,X444,X445))
| X443 = esk1_3(X443,X444,X445)
| vlookup(X443,X444) != X445 )
& ( X445 = vlookup(esk8_3(X443,X444,X445),esk9_3(X443,X444,X445))
| X444 = vbind(esk4_3(X443,X444,X445),esk5_3(X443,X444,X445),esk2_3(X443,X444,X445))
| X443 = esk1_3(X443,X444,X445)
| vlookup(X443,X444) != X445 )
& ( X443 = esk8_3(X443,X444,X445)
| esk3_3(X443,X444,X445) = esk4_3(X443,X444,X445)
| X443 = esk1_3(X443,X444,X445)
| vlookup(X443,X444) != X445 )
& ( X444 = vbind(esk7_3(X443,X444,X445),esk6_3(X443,X444,X445),esk9_3(X443,X444,X445))
| esk3_3(X443,X444,X445) = esk4_3(X443,X444,X445)
| X443 = esk1_3(X443,X444,X445)
| vlookup(X443,X444) != X445 )
& ( esk8_3(X443,X444,X445) != esk7_3(X443,X444,X445)
| esk3_3(X443,X444,X445) = esk4_3(X443,X444,X445)
| X443 = esk1_3(X443,X444,X445)
| vlookup(X443,X444) != X445 )
& ( X445 = vlookup(esk8_3(X443,X444,X445),esk9_3(X443,X444,X445))
| esk3_3(X443,X444,X445) = esk4_3(X443,X444,X445)
| X443 = esk1_3(X443,X444,X445)
| vlookup(X443,X444) != X445 )
& ( X443 = esk8_3(X443,X444,X445)
| X445 = vsomeType(esk5_3(X443,X444,X445))
| X443 = esk1_3(X443,X444,X445)
| vlookup(X443,X444) != X445 )
& ( X444 = vbind(esk7_3(X443,X444,X445),esk6_3(X443,X444,X445),esk9_3(X443,X444,X445))
| X445 = vsomeType(esk5_3(X443,X444,X445))
| X443 = esk1_3(X443,X444,X445)
| vlookup(X443,X444) != X445 )
& ( esk8_3(X443,X444,X445) != esk7_3(X443,X444,X445)
| X445 = vsomeType(esk5_3(X443,X444,X445))
| X443 = esk1_3(X443,X444,X445)
| vlookup(X443,X444) != X445 )
& ( X445 = vlookup(esk8_3(X443,X444,X445),esk9_3(X443,X444,X445))
| X445 = vsomeType(esk5_3(X443,X444,X445))
| X443 = esk1_3(X443,X444,X445)
| vlookup(X443,X444) != X445 )
& ( X443 = esk8_3(X443,X444,X445)
| X443 = esk3_3(X443,X444,X445)
| X444 = vempty
| vlookup(X443,X444) != X445 )
& ( X444 = vbind(esk7_3(X443,X444,X445),esk6_3(X443,X444,X445),esk9_3(X443,X444,X445))
| X443 = esk3_3(X443,X444,X445)
| X444 = vempty
| vlookup(X443,X444) != X445 )
& ( esk8_3(X443,X444,X445) != esk7_3(X443,X444,X445)
| X443 = esk3_3(X443,X444,X445)
| X444 = vempty
| vlookup(X443,X444) != X445 )
& ( X445 = vlookup(esk8_3(X443,X444,X445),esk9_3(X443,X444,X445))
| X443 = esk3_3(X443,X444,X445)
| X444 = vempty
| vlookup(X443,X444) != X445 )
& ( X443 = esk8_3(X443,X444,X445)
| X444 = vbind(esk4_3(X443,X444,X445),esk5_3(X443,X444,X445),esk2_3(X443,X444,X445))
| X444 = vempty
| vlookup(X443,X444) != X445 )
& ( X444 = vbind(esk7_3(X443,X444,X445),esk6_3(X443,X444,X445),esk9_3(X443,X444,X445))
| X444 = vbind(esk4_3(X443,X444,X445),esk5_3(X443,X444,X445),esk2_3(X443,X444,X445))
| X444 = vempty
| vlookup(X443,X444) != X445 )
& ( esk8_3(X443,X444,X445) != esk7_3(X443,X444,X445)
| X444 = vbind(esk4_3(X443,X444,X445),esk5_3(X443,X444,X445),esk2_3(X443,X444,X445))
| X444 = vempty
| vlookup(X443,X444) != X445 )
& ( X445 = vlookup(esk8_3(X443,X444,X445),esk9_3(X443,X444,X445))
| X444 = vbind(esk4_3(X443,X444,X445),esk5_3(X443,X444,X445),esk2_3(X443,X444,X445))
| X444 = vempty
| vlookup(X443,X444) != X445 )
& ( X443 = esk8_3(X443,X444,X445)
| esk3_3(X443,X444,X445) = esk4_3(X443,X444,X445)
| X444 = vempty
| vlookup(X443,X444) != X445 )
& ( X444 = vbind(esk7_3(X443,X444,X445),esk6_3(X443,X444,X445),esk9_3(X443,X444,X445))
| esk3_3(X443,X444,X445) = esk4_3(X443,X444,X445)
| X444 = vempty
| vlookup(X443,X444) != X445 )
& ( esk8_3(X443,X444,X445) != esk7_3(X443,X444,X445)
| esk3_3(X443,X444,X445) = esk4_3(X443,X444,X445)
| X444 = vempty
| vlookup(X443,X444) != X445 )
& ( X445 = vlookup(esk8_3(X443,X444,X445),esk9_3(X443,X444,X445))
| esk3_3(X443,X444,X445) = esk4_3(X443,X444,X445)
| X444 = vempty
| vlookup(X443,X444) != X445 )
& ( X443 = esk8_3(X443,X444,X445)
| X445 = vsomeType(esk5_3(X443,X444,X445))
| X444 = vempty
| vlookup(X443,X444) != X445 )
& ( X444 = vbind(esk7_3(X443,X444,X445),esk6_3(X443,X444,X445),esk9_3(X443,X444,X445))
| X445 = vsomeType(esk5_3(X443,X444,X445))
| X444 = vempty
| vlookup(X443,X444) != X445 )
& ( esk8_3(X443,X444,X445) != esk7_3(X443,X444,X445)
| X445 = vsomeType(esk5_3(X443,X444,X445))
| X444 = vempty
| vlookup(X443,X444) != X445 )
& ( X445 = vlookup(esk8_3(X443,X444,X445),esk9_3(X443,X444,X445))
| X445 = vsomeType(esk5_3(X443,X444,X445))
| X444 = vempty
| vlookup(X443,X444) != X445 )
& ( X443 = esk8_3(X443,X444,X445)
| X443 = esk3_3(X443,X444,X445)
| X445 = vnoType
| vlookup(X443,X444) != X445 )
& ( X444 = vbind(esk7_3(X443,X444,X445),esk6_3(X443,X444,X445),esk9_3(X443,X444,X445))
| X443 = esk3_3(X443,X444,X445)
| X445 = vnoType
| vlookup(X443,X444) != X445 )
& ( esk8_3(X443,X444,X445) != esk7_3(X443,X444,X445)
| X443 = esk3_3(X443,X444,X445)
| X445 = vnoType
| vlookup(X443,X444) != X445 )
& ( X445 = vlookup(esk8_3(X443,X444,X445),esk9_3(X443,X444,X445))
| X443 = esk3_3(X443,X444,X445)
| X445 = vnoType
| vlookup(X443,X444) != X445 )
& ( X443 = esk8_3(X443,X444,X445)
| X444 = vbind(esk4_3(X443,X444,X445),esk5_3(X443,X444,X445),esk2_3(X443,X444,X445))
| X445 = vnoType
| vlookup(X443,X444) != X445 )
& ( X444 = vbind(esk7_3(X443,X444,X445),esk6_3(X443,X444,X445),esk9_3(X443,X444,X445))
| X444 = vbind(esk4_3(X443,X444,X445),esk5_3(X443,X444,X445),esk2_3(X443,X444,X445))
| X445 = vnoType
| vlookup(X443,X444) != X445 )
& ( esk8_3(X443,X444,X445) != esk7_3(X443,X444,X445)
| X444 = vbind(esk4_3(X443,X444,X445),esk5_3(X443,X444,X445),esk2_3(X443,X444,X445))
| X445 = vnoType
| vlookup(X443,X444) != X445 )
& ( X445 = vlookup(esk8_3(X443,X444,X445),esk9_3(X443,X444,X445))
| X444 = vbind(esk4_3(X443,X444,X445),esk5_3(X443,X444,X445),esk2_3(X443,X444,X445))
| X445 = vnoType
| vlookup(X443,X444) != X445 )
& ( X443 = esk8_3(X443,X444,X445)
| esk3_3(X443,X444,X445) = esk4_3(X443,X444,X445)
| X445 = vnoType
| vlookup(X443,X444) != X445 )
& ( X444 = vbind(esk7_3(X443,X444,X445),esk6_3(X443,X444,X445),esk9_3(X443,X444,X445))
| esk3_3(X443,X444,X445) = esk4_3(X443,X444,X445)
| X445 = vnoType
| vlookup(X443,X444) != X445 )
& ( esk8_3(X443,X444,X445) != esk7_3(X443,X444,X445)
| esk3_3(X443,X444,X445) = esk4_3(X443,X444,X445)
| X445 = vnoType
| vlookup(X443,X444) != X445 )
& ( X445 = vlookup(esk8_3(X443,X444,X445),esk9_3(X443,X444,X445))
| esk3_3(X443,X444,X445) = esk4_3(X443,X444,X445)
| X445 = vnoType
| vlookup(X443,X444) != X445 )
& ( X443 = esk8_3(X443,X444,X445)
| X445 = vsomeType(esk5_3(X443,X444,X445))
| X445 = vnoType
| vlookup(X443,X444) != X445 )
& ( X444 = vbind(esk7_3(X443,X444,X445),esk6_3(X443,X444,X445),esk9_3(X443,X444,X445))
| X445 = vsomeType(esk5_3(X443,X444,X445))
| X445 = vnoType
| vlookup(X443,X444) != X445 )
& ( esk8_3(X443,X444,X445) != esk7_3(X443,X444,X445)
| X445 = vsomeType(esk5_3(X443,X444,X445))
| X445 = vnoType
| vlookup(X443,X444) != X445 )
& ( X445 = vlookup(esk8_3(X443,X444,X445),esk9_3(X443,X444,X445))
| X445 = vsomeType(esk5_3(X443,X444,X445))
| X445 = vnoType
| vlookup(X443,X444) != X445 ) ),
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_88,plain,
! [X502,X503,X504,X505,X506,X507,X508,X509,X510,X511] :
( X502 != X506
| X503 != X507
| X504 != vabs(X509,X508,X511)
| X506 = X509
| ~ visFreeVar(X509,X507)
| X510 != vgensym(vapp(vapp(X507,X511),vvar(X506)))
| X505 != vsubst(X502,X503,X504)
| X505 = vsubst(X506,X507,vabs(X510,X508,vsubst(X509,vvar(X510),X511))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[subst4])]) ).
fof(i_0_89,plain,
! [X455,X456,X457,X458,X459,X460,X461] :
( X457 != X455
| ~ vtcheck(vbind(X457,X458,vbind(X455,X456,X459)),X460,X461)
| vtcheck(vbind(X457,X458,X459),X460,X461) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['T-Context-Duplicate'])]) ).
cnf(i_0_90,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_64]) ).
cnf(i_0_91,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_64]) ).
cnf(i_0_92,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_64]) ).
cnf(i_0_93,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_64]) ).
cnf(i_0_94,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_64]) ).
fof(i_0_95,plain,
! [X682,X683,X692,X693,X694] :
( ( X682 = vapp(esk76_2(X682,X683),esk78_2(X682,X683))
| X682 = vapp(vabs(esk71_2(X682,X683),esk72_2(X682,X683),esk73_2(X682,X683)),esk75_2(X682,X683))
| epred3_2(X683,X682)
| ~ epred4_2(X683,X682) )
& ( esk76_2(X682,X683) != vabs(X692,X693,X694)
| X682 = vapp(vabs(esk71_2(X682,X683),esk72_2(X682,X683),esk73_2(X682,X683)),esk75_2(X682,X683))
| epred3_2(X683,X682)
| ~ epred4_2(X683,X682) )
& ( esk77_2(X682,X683) = vreduce(esk76_2(X682,X683))
| X682 = vapp(vabs(esk71_2(X682,X683),esk72_2(X682,X683),esk73_2(X682,X683)),esk75_2(X682,X683))
| epred3_2(X683,X682)
| ~ epred4_2(X683,X682) )
& ( visSomeExp(esk77_2(X682,X683))
| X682 = vapp(vabs(esk71_2(X682,X683),esk72_2(X682,X683),esk73_2(X682,X683)),esk75_2(X682,X683))
| epred3_2(X683,X682)
| ~ epred4_2(X683,X682) )
& ( X683 = vsomeExp(vapp(vgetSomeExp(esk77_2(X682,X683)),esk78_2(X682,X683)))
| X682 = vapp(vabs(esk71_2(X682,X683),esk72_2(X682,X683),esk73_2(X682,X683)),esk75_2(X682,X683))
| epred3_2(X683,X682)
| ~ epred4_2(X683,X682) )
& ( X682 = vapp(esk76_2(X682,X683),esk78_2(X682,X683))
| esk74_2(X682,X683) = vreduce(esk75_2(X682,X683))
| epred3_2(X683,X682)
| ~ epred4_2(X683,X682) )
& ( esk76_2(X682,X683) != vabs(X692,X693,X694)
| esk74_2(X682,X683) = vreduce(esk75_2(X682,X683))
| epred3_2(X683,X682)
| ~ epred4_2(X683,X682) )
& ( esk77_2(X682,X683) = vreduce(esk76_2(X682,X683))
| esk74_2(X682,X683) = vreduce(esk75_2(X682,X683))
| epred3_2(X683,X682)
| ~ epred4_2(X683,X682) )
& ( visSomeExp(esk77_2(X682,X683))
| esk74_2(X682,X683) = vreduce(esk75_2(X682,X683))
| epred3_2(X683,X682)
| ~ epred4_2(X683,X682) )
& ( X683 = vsomeExp(vapp(vgetSomeExp(esk77_2(X682,X683)),esk78_2(X682,X683)))
| esk74_2(X682,X683) = vreduce(esk75_2(X682,X683))
| epred3_2(X683,X682)
| ~ epred4_2(X683,X682) )
& ( X682 = vapp(esk76_2(X682,X683),esk78_2(X682,X683))
| ~ visSomeExp(esk74_2(X682,X683))
| epred3_2(X683,X682)
| ~ epred4_2(X683,X682) )
& ( esk76_2(X682,X683) != vabs(X692,X693,X694)
| ~ visSomeExp(esk74_2(X682,X683))
| epred3_2(X683,X682)
| ~ epred4_2(X683,X682) )
& ( esk77_2(X682,X683) = vreduce(esk76_2(X682,X683))
| ~ visSomeExp(esk74_2(X682,X683))
| epred3_2(X683,X682)
| ~ epred4_2(X683,X682) )
& ( visSomeExp(esk77_2(X682,X683))
| ~ visSomeExp(esk74_2(X682,X683))
| epred3_2(X683,X682)
| ~ epred4_2(X683,X682) )
& ( X683 = vsomeExp(vapp(vgetSomeExp(esk77_2(X682,X683)),esk78_2(X682,X683)))
| ~ visSomeExp(esk74_2(X682,X683))
| epred3_2(X683,X682)
| ~ epred4_2(X683,X682) )
& ( X682 = vapp(esk76_2(X682,X683),esk78_2(X682,X683))
| ~ visValue(esk75_2(X682,X683))
| epred3_2(X683,X682)
| ~ epred4_2(X683,X682) )
& ( esk76_2(X682,X683) != vabs(X692,X693,X694)
| ~ visValue(esk75_2(X682,X683))
| epred3_2(X683,X682)
| ~ epred4_2(X683,X682) )
& ( esk77_2(X682,X683) = vreduce(esk76_2(X682,X683))
| ~ visValue(esk75_2(X682,X683))
| epred3_2(X683,X682)
| ~ epred4_2(X683,X682) )
& ( visSomeExp(esk77_2(X682,X683))
| ~ visValue(esk75_2(X682,X683))
| epred3_2(X683,X682)
| ~ epred4_2(X683,X682) )
& ( X683 = vsomeExp(vapp(vgetSomeExp(esk77_2(X682,X683)),esk78_2(X682,X683)))
| ~ visValue(esk75_2(X682,X683))
| epred3_2(X683,X682)
| ~ epred4_2(X683,X682) )
& ( X682 = vapp(esk76_2(X682,X683),esk78_2(X682,X683))
| X683 = vnoExp
| epred3_2(X683,X682)
| ~ epred4_2(X683,X682) )
& ( esk76_2(X682,X683) != vabs(X692,X693,X694)
| X683 = vnoExp
| epred3_2(X683,X682)
| ~ epred4_2(X683,X682) )
& ( esk77_2(X682,X683) = vreduce(esk76_2(X682,X683))
| X683 = vnoExp
| epred3_2(X683,X682)
| ~ epred4_2(X683,X682) )
& ( visSomeExp(esk77_2(X682,X683))
| X683 = vnoExp
| epred3_2(X683,X682)
| ~ epred4_2(X683,X682) )
& ( X683 = vsomeExp(vapp(vgetSomeExp(esk77_2(X682,X683)),esk78_2(X682,X683)))
| X683 = vnoExp
| epred3_2(X683,X682)
| ~ epred4_2(X683,X682) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_65])])])])])]) ).
fof(i_0_96,plain,
! [X547,X548,X549,X550,X551,X552,X553] :
( X548 != vapp(vabs(X550,X551,X552),X547)
| X553 != vreduce(X547)
| ~ visSomeExp(X553)
| X549 != vreduce(X548)
| X549 = vsomeExp(vapp(vabs(X550,X551,X552),vgetSomeExp(X553))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[reduce2])]) ).
fof(i_0_97,plain,
! [X599,X600,X601,X602,X603] :
( ~ vtcheck(vbind(X600,X602,X599),X601,X603)
| vtcheck(X599,vabs(X600,X602,X601),varrow(X602,X603)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['T-abs'])]) ).
cnf(i_0_98,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_64]) ).
cnf(i_0_99,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_64]) ).
cnf(i_0_100,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_64]) ).
fof(i_0_101,plain,
! [X512,X513,X514,X515,X516,X517,X518,X519,X520] :
( X512 != X518
| X513 != X519
| X514 != vabs(X516,X517,X520)
| X518 = X516
| visFreeVar(X516,X519)
| X515 != vsubst(X512,X513,X514)
| X515 = vabs(X516,X517,vsubst(X518,X519,X520)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_66])]) ).
cnf(i_0_102,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_64]) ).
cnf(i_0_103,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_64]) ).
fof(i_0_104,plain,
! [X485,X486,X487,X488,X489,X490,X491,X492] :
( X485 != X490
| X486 != X491
| X487 != vapp(X489,X492)
| X488 != vsubst(X485,X486,X487)
| X488 = vapp(vsubst(X490,X491,X489),vsubst(X490,X491,X492)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[subst2])]) ).
cnf(i_0_105,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_64]) ).
fof(i_0_106,plain,
! [X554,X555,X556,X557,X558,X559,X560] :
( X556 != vapp(vabs(X558,X554,X560),X559)
| X555 != vreduce(X559)
| visSomeExp(X555)
| ~ visValue(X559)
| X557 != vreduce(X556)
| X557 = vsomeExp(vsubst(X558,X559,X560)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_67])]) ).
cnf(i_0_107,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_64]) ).
fof(i_0_108,plain,
! [X629,X630,X631,X632] :
( visFreeVar(X629,ve2app)
| ~ vtcheck(vbind(X629,X630,X631),ve2app,X632)
| vtcheck(X631,ve2app,X632) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_68])]) ).
fof(i_0_109,plain,
! [X625,X626,X627,X628] :
( visFreeVar(X625,ve1app)
| ~ vtcheck(vbind(X625,X626,X627),ve1app,X628)
| vtcheck(X627,ve1app,X628) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_69])]) ).
fof(i_0_110,plain,
! [X604,X605,X606,X607,X608] :
( ~ vtcheck(X605,X606,varrow(X604,X608))
| ~ vtcheck(X605,X607,X604)
| vtcheck(X605,vapp(X606,X607),X608) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['T-app'])]) ).
fof(i_0_111,plain,
! [X620,X621,X622,X623,X624] :
( vlookup(X620,X622) != vnoType
| ~ vtcheck(X622,X623,X624)
| vtcheck(vbind(X620,X621,X622),X623,X624) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['T-Weak'])]) ).
fof(i_0_112,plain,
! [X493,X494,X495,X496,X497,X498,X499,X500,X501] :
( X495 != X494
| X496 != X493
| X497 != vabs(X499,X500,X501)
| X494 != X499
| X498 != vsubst(X495,X496,X497)
| X498 = vabs(X499,X500,X501) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[subst3])]) ).
fof(i_0_113,plain,
! [X561,X562,X563,X564,X565,X566,X567] :
( X566 != vapp(vabs(X561,X562,X563),X565)
| X564 != vreduce(X565)
| visSomeExp(X564)
| visValue(X565)
| X567 != vreduce(X566)
| X567 = vnoExp ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_70])]) ).
fof(i_0_114,plain,
! [X407,X408,X409,X410,X411,X412] :
( ( X407 = X410
| vbind(X407,X408,X409) != vbind(X410,X411,X412) )
& ( X408 = X411
| vbind(X407,X408,X409) != vbind(X410,X411,X412) )
& ( X409 = X412
| vbind(X407,X408,X409) != vbind(X410,X411,X412) )
& ( X407 != X410
| X408 != X411
| X409 != X412
| vbind(X407,X408,X409) = vbind(X410,X411,X412) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['EQ-bind'])])]) ).
fof(i_0_115,plain,
! [X361,X362,X363,X364,X365,X366] :
( ( X361 = X364
| vabs(X361,X362,X363) != vabs(X364,X365,X366) )
& ( X362 = X365
| vabs(X361,X362,X363) != vabs(X364,X365,X366) )
& ( X363 = X366
| vabs(X361,X362,X363) != vabs(X364,X365,X366) )
& ( X361 != X364
| X362 != X365
| X363 != X366
| vabs(X361,X362,X363) = vabs(X364,X365,X366) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['EQ-abs'])])]) ).
fof(i_0_116,negated_conjecture,
( ~ visFreeVar(esk32_0,vapp(ve1app,ve2app))
& vtcheck(vbind(esk32_0,esk33_0,esk34_0),vapp(ve1app,ve2app),esk35_0)
& ~ vtcheck(esk34_0,vapp(ve1app,ve2app),esk35_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_71])])]) ).
fof(i_0_117,plain,
! [X436,X437,X438,X439,X440,X441,X442] :
( X438 != X441
| X439 != vbind(X437,X436,X442)
| X441 = X437
| X440 != vlookup(X438,X439)
| X440 = vlookup(X441,X442) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[lookup2])]) ).
fof(i_0_118,plain,
! [X584,X585,X589,X590,X591] :
( ( X584 = vapp(esk22_2(X584,X585),esk21_2(X584,X585))
| epred4_2(X585,X584)
| vreduce(X584) != X585 )
& ( esk22_2(X584,X585) != vabs(X589,X590,X591)
| epred4_2(X585,X584)
| vreduce(X584) != X585 )
& ( esk23_2(X584,X585) = vreduce(esk22_2(X584,X585))
| epred4_2(X585,X584)
| vreduce(X584) != X585 )
& ( ~ visSomeExp(esk23_2(X584,X585))
| epred4_2(X585,X584)
| vreduce(X584) != X585 )
& ( X585 = vnoExp
| epred4_2(X585,X584)
| vreduce(X584) != X585 ) ),
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_72])])])])])]) ).
fof(i_0_119,plain,
! [X396,X397,X398,X399,X400,X401] :
( ( X399 = X400
| ~ visFreeVar(X400,X401)
| visFreeVar(X397,X398)
| X397 != X400
| X398 != vabs(X399,X396,X401) )
& ( X399 != X400
| ~ visFreeVar(X397,X398)
| X397 != X400
| X398 != vabs(X399,X396,X401) )
& ( visFreeVar(X400,X401)
| ~ visFreeVar(X397,X398)
| X397 != X400
| X398 != vabs(X399,X396,X401) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[isFreeVar1])])]) ).
fof(i_0_120,plain,
! [X429,X430,X431,X432,X433,X434,X435] :
( X432 != X430
| X433 != vbind(X431,X435,X429)
| X430 != X431
| X434 != vlookup(X432,X433)
| X434 = vsomeType(X435) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[lookup1])]) ).
cnf(i_0_121,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_64]) ).
cnf(i_0_122,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_64]) ).
fof(i_0_123,plain,
! [X478,X479,X480,X481,X482,X483,X484] :
( X480 != X479
| X481 != X478
| X482 != vvar(X484)
| X479 = X484
| X483 != vsubst(X480,X481,X482)
| X483 = vvar(X484) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[subst1])]) ).
fof(i_0_124,plain,
! [X471,X472,X473,X474,X475,X476,X477] :
( X473 != X471
| X474 != X477
| X475 != vvar(X472)
| X471 != X472
| X476 != vsubst(X473,X474,X475)
| X476 = X477 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[subst0])]) ).
fof(i_0_125,plain,
! [X378,X379,X380,X381,X382] : vabs(X378,X379,X380) != vapp(X381,X382),
inference(variable_rename,[status(thm)],['DIFF-abs-app']) ).
cnf(i_0_126,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_64]) ).
cnf(i_0_127,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_64]) ).
cnf(i_0_128,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_64]) ).
fof(i_0_129,plain,
! [X542,X543,X544,X545,X546] :
( X545 != vabs(X542,X543,X544)
| X546 != vreduce(X545)
| X546 = vnoExp ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[reduce1])]) ).
fof(i_0_130,plain,
! [X371,X372,X373,X374] : vvar(X371) != vabs(X372,X373,X374),
inference(variable_rename,[status(thm)],['DIFF-var-abs']) ).
fof(i_0_131,plain,
! [X383,X384,X385,X386] :
( X386 != vabs(X383,X384,X385)
| visValue(X386) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[isValue0])]) ).
fof(i_0_132,plain,
! [X596,X597,X598] :
( vlookup(X597,X596) != vsomeType(X598)
| vtcheck(X596,vvar(X597),X598) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['T-var'])]) ).
fof(i_0_133,plain,
! [X415,X416,X417] : vempty != vbind(X415,X416,X417),
inference(variable_rename,[status(thm)],['DIFF-empty-bind']) ).
cnf(i_0_134,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_64]) ).
fof(i_0_135,plain,
! [X402,X403,X404,X405,X406] :
( ( ~ visFreeVar(X405,X404)
| visFreeVar(X402,X403)
| X402 != X405
| X403 != vapp(X404,X406) )
& ( ~ visFreeVar(X405,X406)
| visFreeVar(X402,X403)
| X402 != X405
| X403 != vapp(X404,X406) )
& ( ~ visFreeVar(X402,X403)
| visFreeVar(X405,X404)
| visFreeVar(X405,X406)
| X402 != X405
| X403 != vapp(X404,X406) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[isFreeVar2])])]) ).
fof(i_0_136,plain,
! [X592,X593,X594,X595] :
( ( X592 = X594
| varrow(X592,X593) != varrow(X594,X595) )
& ( X593 = X595
| varrow(X592,X593) != varrow(X594,X595) )
& ( X592 != X594
| X593 != X595
| varrow(X592,X593) = varrow(X594,X595) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['EQ-arrow'])])]) ).
fof(i_0_137,plain,
! [X367,X368,X369,X370] :
( ( X367 = X369
| vapp(X367,X368) != vapp(X369,X370) )
& ( X368 = X370
| vapp(X367,X368) != vapp(X369,X370) )
& ( X367 != X369
| X368 != X370
| vapp(X367,X368) = vapp(X369,X370) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['EQ-app'])])]) ).
fof(i_0_138,plain,
! [X392,X393,X394,X395] :
( ( X394 != X395
| visFreeVar(X392,X393)
| X392 != X395
| X393 != vvar(X394) )
& ( ~ visFreeVar(X392,X393)
| X394 = X395
| X392 != X395
| X393 != vvar(X394) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[isFreeVar0])])]) ).
fof(i_0_139,plain,
! [X425,X426,X427,X428] :
( X426 != X425
| X427 != vempty
| X428 != vlookup(X426,X427)
| X428 = vnoType ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[lookup0])]) ).
fof(i_0_140,plain,
! [X389,X390,X391] :
( X391 != vapp(X389,X390)
| ~ visValue(X391) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_73])]) ).
fof(i_0_141,plain,
! [X469,X470] :
( vgensym(X470) != X469
| ~ visFreeVar(X469,X470) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_74])]) ).
fof(i_0_142,plain,
! [X375,X376,X377] : vvar(X375) != vapp(X376,X377),
inference(variable_rename,[status(thm)],['DIFF-var-app']) ).
fof(i_0_143,plain,
! [X536,X537,X538] :
( X536 != vsomeExp(X538)
| X537 != vgetSomeExp(X536)
| X537 = X538 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[getSomeExp0])]) ).
fof(i_0_144,plain,
! [X422,X423,X424] :
( X422 != vsomeType(X424)
| X423 != vgetSomeType(X422)
| X423 = X424 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[getSomeType0])]) ).
fof(i_0_145,plain,
! [X539,X540,X541] :
( X540 != vvar(X539)
| X541 != vreduce(X540)
| X541 = vnoExp ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[reduce0])]) ).
fof(i_0_146,plain,
! [X387,X388] :
( X388 != vvar(X387)
| ~ visValue(X388) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_75])]) ).
fof(i_0_147,plain,
! [X530,X531] :
( ( vsomeExp(X530) != vsomeExp(X531)
| X530 = X531 )
& ( X530 != X531
| vsomeExp(X530) = vsomeExp(X531) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['EQ-someExp'])]) ).
fof(i_0_148,plain,
! [X413,X414] :
( ( vsomeType(X413) != vsomeType(X414)
| X413 = X414 )
& ( X413 != X414
| vsomeType(X413) = vsomeType(X414) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['EQ-someType'])]) ).
fof(i_0_149,plain,
! [X359,X360] :
( ( vvar(X359) != vvar(X360)
| X359 = X360 )
& ( X359 != X360
| vvar(X359) = vvar(X360) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['EQ-var'])]) ).
fof(i_0_150,plain,
! [X534,X535] :
( X535 != vsomeExp(X534)
| visSomeExp(X535) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[isSomeExp1])]) ).
fof(i_0_151,plain,
! [X420,X421] :
( X421 != vsomeType(X420)
| visSomeType(X421) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[isSomeType1])]) ).
fof(i_0_152,plain,
! [X533] :
( X533 != vnoExp
| ~ visSomeExp(X533) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_76])]) ).
fof(i_0_153,plain,
! [X419] :
( X419 != vnoType
| ~ visSomeType(X419) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_77])]) ).
fof(i_0_154,plain,
! [X532] : vnoExp != vsomeExp(X532),
inference(variable_rename,[status(thm)],['DIFF-noExp-someExp']) ).
fof(i_0_155,plain,
! [X418] : vnoType != vsomeType(X418),
inference(variable_rename,[status(thm)],['DIFF-noType-someType']) ).
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))))
| 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_78]),
[final] ).
cnf(i_0_157,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_78]),
[final] ).
cnf(i_0_158,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_78]),
[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))))
| 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_78]),
[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))))
| 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_78]),
[final] ).
cnf(i_0_161,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_78]),
[final] ).
cnf(i_0_162,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_78]),
[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))
| 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_78]),
[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))
| 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_78]),
[final] ).
cnf(i_0_165,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_78]),
[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))))
| 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_78]),
[final] ).
cnf(i_0_167,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_78]),
[final] ).
cnf(i_0_168,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_78]),
[final] ).
cnf(i_0_169,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_78]),
[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))))
| 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_78]),
[final] ).
cnf(i_0_171,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_78]),
[final] ).
cnf(i_0_172,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_78]),
[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)
| 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_78]),
[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)
| 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_78]),
[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))))
| 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_78]),
[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))))
| 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_78]),
[final] ).
cnf(i_0_177,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_78]),
[final] ).
cnf(i_0_178,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_78]),
[final] ).
cnf(i_0_179,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_78]),
[final] ).
cnf(i_0_180,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_78]),
[final] ).
cnf(i_0_181,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_78]),
[final] ).
cnf(i_0_182,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_78]),
[final] ).
cnf(i_0_183,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_78]),
[final] ).
cnf(i_0_184,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_78]),
[final] ).
cnf(i_0_185,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_78]),
[final] ).
cnf(i_0_186,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_78]),
[final] ).
cnf(i_0_187,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_78]),
[final] ).
cnf(i_0_188,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_78]),
[final] ).
cnf(i_0_189,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_78]),
[final] ).
cnf(i_0_190,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_78]),
[final] ).
cnf(i_0_191,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_78]),
[final] ).
cnf(i_0_192,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_78]),
[final] ).
cnf(i_0_193,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_78]),
[final] ).
cnf(i_0_194,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_78]),
[final] ).
cnf(i_0_195,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_78]),
[final] ).
cnf(i_0_196,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_78]),
[final] ).
cnf(i_0_197,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_78]),
[final] ).
cnf(i_0_198,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_78]),
[final] ).
cnf(i_0_199,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_78]),
[final] ).
cnf(i_0_200,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_78]),
[final] ).
cnf(i_0_201,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_78]),
[final] ).
cnf(i_0_202,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_78]),
[final] ).
cnf(i_0_203,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_78]),
[final] ).
cnf(i_0_204,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_78]),
[final] ).
cnf(i_0_205,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_78]),
[final] ).
cnf(i_0_206,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_78]),
[final] ).
cnf(i_0_207,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_78]),
[final] ).
cnf(i_0_208,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_78]),
[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))))
| 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_78]),
[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))))
| 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_78]),
[final] ).
cnf(i_0_211,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_78]),
[final] ).
cnf(i_0_212,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_78]),
[final] ).
cnf(i_0_213,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_78]),
[final] ).
cnf(i_0_214,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_78]),
[final] ).
cnf(i_0_215,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_78]),
[final] ).
cnf(i_0_216,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_78]),
[final] ).
cnf(i_0_217,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_79]),
[final] ).
cnf(i_0_218,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_78]),
[final] ).
cnf(i_0_219,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_78]),
[final] ).
cnf(i_0_220,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_78]),
[final] ).
cnf(i_0_221,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_78]),
[final] ).
cnf(i_0_222,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_78]),
[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))
| 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_78]),
[final] ).
cnf(i_0_224,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_80]),
[final] ).
cnf(i_0_225,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_78]),
[final] ).
cnf(i_0_226,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_78]),
[final] ).
cnf(i_0_227,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_78]),
[final] ).
cnf(i_0_228,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_78]),
[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))
| 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_78]),
[final] ).
cnf(i_0_230,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_78]),
[final] ).
cnf(i_0_231,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_78]),
[final] ).
cnf(i_0_232,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_78]),
[final] ).
cnf(i_0_233,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_78]),
[final] ).
cnf(i_0_234,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_78]),
[final] ).
cnf(i_0_235,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_78]),
[final] ).
cnf(i_0_236,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_78]),
[final] ).
cnf(i_0_237,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_78]),
[final] ).
cnf(i_0_238,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_78]),
[final] ).
cnf(i_0_239,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_78]),
[final] ).
cnf(i_0_240,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_78]),
[final] ).
cnf(i_0_241,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_78]),
[final] ).
cnf(i_0_242,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_78]),
[final] ).
cnf(i_0_243,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_78]),
[final] ).
cnf(i_0_244,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_78]),
[final] ).
cnf(i_0_245,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_78]),
[final] ).
cnf(i_0_246,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_78]),
[final] ).
cnf(i_0_247,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_78]),
[final] ).
cnf(i_0_248,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_78]),
[final] ).
cnf(i_0_249,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_78]),
[final] ).
cnf(i_0_250,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_78]),
[final] ).
cnf(i_0_251,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_78]),
[final] ).
cnf(i_0_252,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_78]),
[final] ).
cnf(i_0_253,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_78]),
[final] ).
cnf(i_0_254,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_78]),
[final] ).
cnf(i_0_255,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_78]),
[final] ).
cnf(i_0_256,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_78]),
[final] ).
cnf(i_0_257,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_78]),
[final] ).
cnf(i_0_258,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_78]),
[final] ).
cnf(i_0_259,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_78]),
[final] ).
cnf(i_0_260,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_78]),
[final] ).
cnf(i_0_261,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_78]),
[final] ).
cnf(i_0_262,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_78]),
[final] ).
cnf(i_0_263,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_78]),
[final] ).
cnf(i_0_264,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_78]),
[final] ).
cnf(i_0_265,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_78]),
[final] ).
cnf(i_0_266,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_78]),
[final] ).
cnf(i_0_267,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_78]),
[final] ).
cnf(i_0_268,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_78]),
[final] ).
cnf(i_0_269,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_78]),
[final] ).
cnf(i_0_270,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_78]),
[final] ).
cnf(i_0_271,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_78]),
[final] ).
cnf(i_0_272,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_78]),
[final] ).
cnf(i_0_273,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_78]),
[final] ).
cnf(i_0_274,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_78]),
[final] ).
cnf(i_0_275,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_78]),
[final] ).
cnf(i_0_276,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_78]),
[final] ).
cnf(i_0_277,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_78]),
[final] ).
cnf(i_0_278,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_78]),
[final] ).
cnf(i_0_279,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_78]),
[final] ).
cnf(i_0_280,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_78]),
[final] ).
cnf(i_0_281,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_78]),
[final] ).
cnf(i_0_282,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_78]),
[final] ).
cnf(i_0_283,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_78]),
[final] ).
cnf(i_0_284,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_78]),
[final] ).
cnf(i_0_285,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_78]),
[final] ).
cnf(i_0_286,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_80]),
[final] ).
cnf(i_0_287,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_80]),
[final] ).
cnf(i_0_288,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_81]),
[final] ).
cnf(i_0_289,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_81]),
[final] ).
cnf(i_0_290,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_78]),
[final] ).
cnf(i_0_291,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_78]),
[final] ).
cnf(i_0_292,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_78]),
[final] ).
cnf(i_0_293,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_78]),
[final] ).
cnf(i_0_294,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_82]),
[final] ).
cnf(i_0_295,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_81]),
[final] ).
cnf(i_0_296,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_81]),
[final] ).
cnf(i_0_297,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_81]),
[final] ).
cnf(i_0_298,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_83]),
[final] ).
cnf(i_0_299,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_83]),
[final] ).
cnf(i_0_300,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_81]),
[final] ).
cnf(i_0_301,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_81]),
[final] ).
cnf(i_0_302,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_78]),
[final] ).
cnf(i_0_303,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_78]),
[final] ).
cnf(i_0_304,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_78]),
[final] ).
cnf(i_0_305,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_78]),
[final] ).
cnf(i_0_306,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_78]),
[final] ).
cnf(i_0_307,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_78]),
[final] ).
cnf(i_0_308,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_78]),
[final] ).
cnf(i_0_309,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_78]),
[final] ).
cnf(i_0_310,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_81]),
[final] ).
cnf(i_0_311,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_81]),
[final] ).
cnf(i_0_312,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_83]),
[final] ).
cnf(i_0_313,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_83]),
[final] ).
cnf(i_0_314,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_83]),
[final] ).
cnf(i_0_315,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_83]),
[final] ).
cnf(i_0_316,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_64]),
[final] ).
cnf(i_0_317,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_81]),
[final] ).
cnf(i_0_318,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_81]),
[final] ).
cnf(i_0_319,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_81]),
[final] ).
cnf(i_0_320,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_81]),
[final] ).
cnf(i_0_321,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_81]),
[final] ).
cnf(i_0_322,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_81]),
[final] ).
cnf(i_0_323,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_81]),
[final] ).
cnf(i_0_324,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_81]),
[final] ).
cnf(i_0_325,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_64]),
[final] ).
cnf(i_0_326,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_81]),
[final] ).
cnf(i_0_327,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_81]),
[final] ).
cnf(i_0_328,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_64]),
[final] ).
cnf(i_0_329,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_80]),
[final] ).
cnf(i_0_330,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_64]),
[final] ).
cnf(i_0_331,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_64]),
[final] ).
cnf(i_0_332,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_84]),
[final] ).
cnf(i_0_333,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_64]),
[final] ).
cnf(i_0_334,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_83]),
[final] ).
cnf(i_0_335,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_83]),
[final] ).
cnf(i_0_336,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_85]),
[final] ).
cnf(i_0_337,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_86]),
[final] ).
cnf(i_0_338,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_64]),
[final] ).
cnf(i_0_339,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_64]),
[final] ).
cnf(i_0_340,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_64]),
[final] ).
cnf(i_0_341,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_81]),
[final] ).
cnf(i_0_342,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_81]),
[final] ).
cnf(i_0_343,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_81]),
[final] ).
cnf(i_0_344,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_81]),
[final] ).
cnf(i_0_345,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_81]),
[final] ).
cnf(i_0_346,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_81]),
[final] ).
cnf(i_0_347,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_64]),
[final] ).
cnf(i_0_348,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_64]),
[final] ).
cnf(i_0_349,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_64]),
[final] ).
cnf(i_0_350,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_83]),
[final] ).
cnf(i_0_351,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_83]),
[final] ).
cnf(i_0_352,plain,
( vtcheck(X1,esk29_3(X2,X3,X1),varrow(esk31_3(X2,X3,X1),X3))
| X3 = varrow(esk27_3(X2,X3,X1),esk28_3(X2,X3,X1))
| vlookup(esk24_3(X2,X3,X1),X1) = vsomeType(X3)
| ~ vtcheck(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[i_0_83]),
[final] ).
cnf(i_0_353,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_87]),
[final] ).
cnf(i_0_354,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_83]),
[final] ).
cnf(i_0_355,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_83]),
[final] ).
cnf(i_0_356,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_83]),
[final] ).
cnf(i_0_357,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_64]),
[final] ).
cnf(i_0_358,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_87]),
[final] ).
cnf(i_0_359,plain,
( X1 = vbind(esk7_3(X2,X1,X3),esk6_3(X2,X1,X3),esk9_3(X2,X1,X3))
| X1 = vbind(esk4_3(X2,X1,X3),esk5_3(X2,X1,X3),esk2_3(X2,X1,X3))
| X3 = vnoType
| vlookup(X2,X1) != X3 ),
inference(split_conjunct,[status(thm)],[i_0_87]),
[final] ).
cnf(i_0_360,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_64]),
[final] ).
cnf(i_0_361,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_64]),
[final] ).
cnf(i_0_362,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_64]),
[final] ).
cnf(i_0_363,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_64]),
[final] ).
cnf(i_0_364,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_64]),
[final] ).
cnf(i_0_365,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_88]),
[final] ).
cnf(i_0_366,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_89]),
[final] ).
cnf(i_0_367,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_90]),
[final] ).
cnf(i_0_368,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_91]),
[final] ).
cnf(i_0_369,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_64]),
[final] ).
cnf(i_0_370,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_92]),
[final] ).
cnf(i_0_371,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_83]),
[final] ).
cnf(i_0_372,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_83]),
[final] ).
cnf(i_0_373,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_87]),
[final] ).
cnf(i_0_374,plain,
( X1 = vapp(esk29_3(X1,X2,X3),esk30_3(X1,X2,X3))
| X2 = varrow(esk27_3(X1,X2,X3),esk28_3(X1,X2,X3))
| vlookup(esk24_3(X1,X2,X3),X3) = vsomeType(X2)
| ~ vtcheck(X3,X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_83]),
[final] ).
cnf(i_0_375,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_64]),
[final] ).
cnf(i_0_376,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_83]),
[final] ).
cnf(i_0_377,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_93]),
[final] ).
cnf(i_0_378,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_87]),
[final] ).
cnf(i_0_379,plain,
( X1 = vlookup(esk8_3(X2,X3,X1),esk9_3(X2,X3,X1))
| X3 = vbind(esk4_3(X2,X3,X1),esk5_3(X2,X3,X1),esk2_3(X2,X3,X1))
| X3 = vempty
| vlookup(X2,X3) != X1 ),
inference(split_conjunct,[status(thm)],[i_0_87]),
[final] ).
cnf(i_0_380,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_87]),
[final] ).
cnf(i_0_381,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_64]),
[final] ).
cnf(i_0_382,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_94]),
[final] ).
cnf(i_0_383,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_80]),
[final] ).
cnf(i_0_384,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_80]),
[final] ).
cnf(i_0_385,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_87]),
[final] ).
cnf(i_0_386,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_87]),
[final] ).
cnf(i_0_387,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_87]),
[final] ).
cnf(i_0_388,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_87]),
[final] ).
cnf(i_0_389,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_95]),
[final] ).
cnf(i_0_390,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_64]),
[final] ).
cnf(i_0_391,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_64]),
[final] ).
cnf(i_0_392,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_64]),
[final] ).
cnf(i_0_393,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_64]),
[final] ).
cnf(i_0_394,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_64]),
[final] ).
cnf(i_0_395,plain,
( X1 = vbind(esk7_3(X2,X1,X3),esk6_3(X2,X1,X3),esk9_3(X2,X1,X3))
| X3 = vsomeType(esk5_3(X2,X1,X3))
| X1 = vempty
| vlookup(X2,X1) != X3 ),
inference(split_conjunct,[status(thm)],[i_0_87]),
[final] ).
cnf(i_0_396,plain,
( X1 = vbind(esk7_3(X2,X1,X3),esk6_3(X2,X1,X3),esk9_3(X2,X1,X3))
| X3 = vsomeType(esk5_3(X2,X1,X3))
| X3 = vnoType
| vlookup(X2,X1) != X3 ),
inference(split_conjunct,[status(thm)],[i_0_87]),
[final] ).
cnf(i_0_397,plain,
( X1 = esk8_3(X1,X2,X3)
| X2 = vbind(esk4_3(X1,X2,X3),esk5_3(X1,X2,X3),esk2_3(X1,X2,X3))
| X1 = esk1_3(X1,X2,X3)
| vlookup(X1,X2) != X3 ),
inference(split_conjunct,[status(thm)],[i_0_87]),
[final] ).
cnf(i_0_398,plain,
( X1 = vbind(esk7_3(X2,X1,X3),esk6_3(X2,X1,X3),esk9_3(X2,X1,X3))
| X2 = esk3_3(X2,X1,X3)
| X2 = esk1_3(X2,X1,X3)
| vlookup(X2,X1) != X3 ),
inference(split_conjunct,[status(thm)],[i_0_87]),
[final] ).
cnf(i_0_399,plain,
( X1 = vbind(esk7_3(X2,X1,X3),esk6_3(X2,X1,X3),esk9_3(X2,X1,X3))
| esk3_3(X2,X1,X3) = esk4_3(X2,X1,X3)
| X1 = vempty
| vlookup(X2,X1) != X3 ),
inference(split_conjunct,[status(thm)],[i_0_87]),
[final] ).
cnf(i_0_400,plain,
( X1 = vbind(esk7_3(X2,X1,X3),esk6_3(X2,X1,X3),esk9_3(X2,X1,X3))
| esk3_3(X2,X1,X3) = esk4_3(X2,X1,X3)
| X3 = vnoType
| vlookup(X2,X1) != X3 ),
inference(split_conjunct,[status(thm)],[i_0_87]),
[final] ).
cnf(i_0_401,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_64]),
[final] ).
cnf(i_0_402,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_64]),
[final] ).
cnf(i_0_403,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_64]),
[final] ).
cnf(i_0_404,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_64]),
[final] ).
cnf(i_0_405,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_64]),
[final] ).
cnf(i_0_406,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_64]),
[final] ).
cnf(i_0_407,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_64]),
[final] ).
cnf(i_0_408,plain,
( X7 = vsomeExp(vapp(vabs(X2,X3,X4),vgetSomeExp(X6)))
| X1 != vapp(vabs(X2,X3,X4),X5)
| X6 != vreduce(X5)
| ~ visSomeExp(X6)
| X7 != vreduce(X1) ),
inference(split_conjunct,[status(thm)],[i_0_96]),
[final] ).
cnf(i_0_409,plain,
( X1 = vsomeExp(vsubst(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_64]),
[final] ).
cnf(i_0_410,plain,
( X1 = vbind(esk7_3(X2,X1,X3),esk6_3(X2,X1,X3),esk9_3(X2,X1,X3))
| X2 = esk3_3(X2,X1,X3)
| X1 = vempty
| vlookup(X2,X1) != X3 ),
inference(split_conjunct,[status(thm)],[i_0_87]),
[final] ).
cnf(i_0_411,plain,
( X1 = esk8_3(X1,X2,X3)
| X2 = vbind(esk4_3(X1,X2,X3),esk5_3(X1,X2,X3),esk2_3(X1,X2,X3))
| X2 = vempty
| vlookup(X1,X2) != X3 ),
inference(split_conjunct,[status(thm)],[i_0_87]),
[final] ).
cnf(i_0_412,plain,
( X1 = esk8_3(X1,X2,X3)
| X2 = vbind(esk4_3(X1,X2,X3),esk5_3(X1,X2,X3),esk2_3(X1,X2,X3))
| X3 = vnoType
| vlookup(X1,X2) != X3 ),
inference(split_conjunct,[status(thm)],[i_0_87]),
[final] ).
cnf(i_0_413,plain,
( X1 = vbind(esk7_3(X2,X1,X3),esk6_3(X2,X1,X3),esk9_3(X2,X1,X3))
| X2 = esk3_3(X2,X1,X3)
| X3 = vnoType
| vlookup(X2,X1) != X3 ),
inference(split_conjunct,[status(thm)],[i_0_87]),
[final] ).
cnf(i_0_414,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_64]),
[final] ).
cnf(i_0_415,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_95]),
[final] ).
cnf(i_0_416,plain,
( vtcheck(X3,vabs(X1,X2,X4),varrow(X2,X5))
| ~ vtcheck(vbind(X1,X2,X3),X4,X5) ),
inference(split_conjunct,[status(thm)],[i_0_97]),
[final] ).
cnf(i_0_417,plain,
( X1 = vlookup(esk8_3(X2,X3,X1),esk9_3(X2,X3,X1))
| X1 = vsomeType(esk5_3(X2,X3,X1))
| X2 = esk1_3(X2,X3,X1)
| vlookup(X2,X3) != X1 ),
inference(split_conjunct,[status(thm)],[i_0_87]),
[final] ).
cnf(i_0_418,plain,
( X1 = vlookup(esk8_3(X2,X3,X1),esk9_3(X2,X3,X1))
| esk3_3(X2,X3,X1) = esk4_3(X2,X3,X1)
| X2 = esk1_3(X2,X3,X1)
| vlookup(X2,X3) != X1 ),
inference(split_conjunct,[status(thm)],[i_0_87]),
[final] ).
cnf(i_0_419,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_95]),
[final] ).
cnf(i_0_420,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_64]),
[final] ).
cnf(i_0_421,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_64]),
[final] ).
cnf(i_0_422,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_64]),
[final] ).
cnf(i_0_423,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_64]),
[final] ).
cnf(i_0_424,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_64]),
[final] ).
cnf(i_0_425,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_95]),
[final] ).
cnf(i_0_426,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_98]),
[final] ).
cnf(i_0_427,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_99]),
[final] ).
cnf(i_0_428,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_100]),
[final] ).
cnf(i_0_429,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_95]),
[final] ).
cnf(i_0_430,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_64]),
[final] ).
cnf(i_0_431,plain,
( X1 = vlookup(esk8_3(X2,X3,X1),esk9_3(X2,X3,X1))
| X1 = vsomeType(esk5_3(X2,X3,X1))
| X1 = vnoType
| vlookup(X2,X3) != X1 ),
inference(split_conjunct,[status(thm)],[i_0_87]),
[final] ).
cnf(i_0_432,plain,
( X1 = vlookup(esk8_3(X2,X3,X1),esk9_3(X2,X3,X1))
| X1 = vsomeType(esk5_3(X2,X3,X1))
| X3 = vempty
| vlookup(X2,X3) != X1 ),
inference(split_conjunct,[status(thm)],[i_0_87]),
[final] ).
cnf(i_0_433,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_87]),
[final] ).
cnf(i_0_434,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_87]),
[final] ).
cnf(i_0_435,plain,
( X1 = vlookup(esk8_3(X2,X3,X1),esk9_3(X2,X3,X1))
| esk3_3(X2,X3,X1) = esk4_3(X2,X3,X1)
| X3 = vempty
| vlookup(X2,X3) != X1 ),
inference(split_conjunct,[status(thm)],[i_0_87]),
[final] ).
cnf(i_0_436,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_87]),
[final] ).
cnf(i_0_437,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_101]),
[final] ).
cnf(i_0_438,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_87]),
[final] ).
cnf(i_0_439,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_102]),
[final] ).
cnf(i_0_440,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_103]),
[final] ).
cnf(i_0_441,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_64]),
[final] ).
cnf(i_0_442,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_104]),
[final] ).
cnf(i_0_443,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_105]),
[final] ).
cnf(i_0_444,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_106]),
[final] ).
cnf(i_0_445,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_107]),
[final] ).
cnf(i_0_446,plain,
( visFreeVar(X1,ve2app)
| vtcheck(X3,ve2app,X4)
| ~ vtcheck(vbind(X1,X2,X3),ve2app,X4) ),
inference(split_conjunct,[status(thm)],[i_0_108]),
[final] ).
cnf(i_0_447,plain,
( visFreeVar(X1,ve1app)
| vtcheck(X3,ve1app,X4)
| ~ vtcheck(vbind(X1,X2,X3),ve1app,X4) ),
inference(split_conjunct,[status(thm)],[i_0_109]),
[final] ).
cnf(i_0_448,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_87]),
[final] ).
cnf(i_0_449,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_87]),
[final] ).
cnf(i_0_450,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_87]),
[final] ).
cnf(i_0_451,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_87]),
[final] ).
cnf(i_0_452,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_87]),
[final] ).
cnf(i_0_453,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_87]),
[final] ).
cnf(i_0_454,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_87]),
[final] ).
cnf(i_0_455,plain,
( vtcheck(X1,vapp(X2,X5),X4)
| ~ vtcheck(X1,X2,varrow(X3,X4))
| ~ vtcheck(X1,X5,X3) ),
inference(split_conjunct,[status(thm)],[i_0_110]),
[final] ).
cnf(i_0_456,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_95]),
[final] ).
cnf(i_0_457,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_95]),
[final] ).
cnf(i_0_458,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_95]),
[final] ).
cnf(i_0_459,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_64]),
[final] ).
cnf(i_0_460,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_64]),
[final] ).
cnf(i_0_461,plain,
( vtcheck(vbind(X1,X5,X2),X3,X4)
| vlookup(X1,X2) != vnoType
| ~ vtcheck(X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[i_0_111]),
[final] ).
cnf(i_0_462,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_64]),
[final] ).
cnf(i_0_463,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_64]),
[final] ).
cnf(i_0_464,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_64]),
[final] ).
cnf(i_0_465,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_87]),
[final] ).
cnf(i_0_466,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_87]),
[final] ).
cnf(i_0_467,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_64]),
[final] ).
cnf(i_0_468,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_64]),
[final] ).
cnf(i_0_469,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_87]),
[final] ).
cnf(i_0_470,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_64]),
[final] ).
cnf(i_0_471,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_87]),
[final] ).
cnf(i_0_472,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_112]),
[final] ).
cnf(i_0_473,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_95]),
[final] ).
cnf(i_0_474,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_64]),
[final] ).
cnf(i_0_475,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_64]),
[final] ).
cnf(i_0_476,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_64]),
[final] ).
cnf(i_0_477,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_113]),
[final] ).
cnf(i_0_478,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_64]),
[final] ).
cnf(i_0_479,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_87]),
[final] ).
cnf(i_0_480,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_87]),
[final] ).
cnf(i_0_481,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_95]),
[final] ).
cnf(i_0_482,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_95]),
[final] ).
cnf(i_0_483,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_87]),
[final] ).
cnf(i_0_484,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_87]),
[final] ).
cnf(i_0_485,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_87]),
[final] ).
cnf(i_0_486,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_95]),
[final] ).
cnf(i_0_487,plain,
( X1 = X2
| vbind(X1,X3,X4) != vbind(X2,X5,X6) ),
inference(split_conjunct,[status(thm)],[i_0_114]),
[final] ).
cnf(i_0_488,plain,
( X1 = X2
| vbind(X3,X1,X4) != vbind(X5,X2,X6) ),
inference(split_conjunct,[status(thm)],[i_0_114]),
[final] ).
cnf(i_0_489,plain,
( X1 = X2
| vbind(X3,X4,X1) != vbind(X5,X6,X2) ),
inference(split_conjunct,[status(thm)],[i_0_114]),
[final] ).
cnf(i_0_490,plain,
( X1 = X2
| vabs(X1,X3,X4) != vabs(X2,X5,X6) ),
inference(split_conjunct,[status(thm)],[i_0_115]),
[final] ).
cnf(i_0_491,plain,
( X1 = X2
| vabs(X3,X1,X4) != vabs(X5,X2,X6) ),
inference(split_conjunct,[status(thm)],[i_0_115]),
[final] ).
cnf(i_0_492,plain,
( X1 = X2
| vabs(X3,X4,X1) != vabs(X5,X6,X2) ),
inference(split_conjunct,[status(thm)],[i_0_115]),
[final] ).
cnf(i_0_493,negated_conjecture,
vtcheck(vbind(esk32_0,esk33_0,esk34_0),vapp(ve1app,ve2app),esk35_0),
inference(split_conjunct,[status(thm)],[i_0_116]),
[final] ).
cnf(i_0_494,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_95]),
[final] ).
cnf(i_0_495,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_95]),
[final] ).
cnf(i_0_496,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_95]),
[final] ).
cnf(i_0_497,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_64]),
[final] ).
cnf(i_0_498,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_95]),
[final] ).
cnf(i_0_499,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_64]),
[final] ).
cnf(i_0_500,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_87]),
[final] ).
cnf(i_0_501,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_87]),
[final] ).
cnf(i_0_502,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_64]),
[final] ).
cnf(i_0_503,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_117]),
[final] ).
cnf(i_0_504,plain,
( epred4_2(X2,X1)
| esk22_2(X1,X2) != vabs(X3,X4,X5)
| vreduce(X1) != X2 ),
inference(split_conjunct,[status(thm)],[i_0_118]),
[final] ).
cnf(i_0_505,plain,
( X1 = X2
| visFreeVar(X4,X5)
| ~ visFreeVar(X2,X3)
| X4 != X2
| X5 != vabs(X1,X6,X3) ),
inference(split_conjunct,[status(thm)],[i_0_119]),
[final] ).
cnf(i_0_506,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_64]),
[final] ).
cnf(i_0_507,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_64]),
[final] ).
cnf(i_0_508,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_95]),
[final] ).
cnf(i_0_509,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_95]),
[final] ).
cnf(i_0_510,plain,
( visFreeVar(X1,X2)
| ~ visFreeVar(X3,X4)
| X3 != X1
| X4 != vabs(X5,X6,X2) ),
inference(split_conjunct,[status(thm)],[i_0_119]),
[final] ).
cnf(i_0_511,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_95]),
[final] ).
cnf(i_0_512,plain,
( X7 = vsomeType(X5)
| X1 != X2
| X3 != vbind(X4,X5,X6)
| X2 != X4
| X7 != vlookup(X1,X3) ),
inference(split_conjunct,[status(thm)],[i_0_120]),
[final] ).
cnf(i_0_513,plain,
( X1 != X2
| ~ visFreeVar(X3,X4)
| X3 != X2
| X4 != vabs(X1,X5,X6) ),
inference(split_conjunct,[status(thm)],[i_0_119]),
[final] ).
cnf(i_0_514,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_64]),
[final] ).
cnf(i_0_515,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_121]),
[final] ).
cnf(i_0_516,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_95]),
[final] ).
cnf(i_0_517,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_95]),
[final] ).
cnf(i_0_518,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_122]),
[final] ).
cnf(i_0_519,negated_conjecture,
~ vtcheck(esk34_0,vapp(ve1app,ve2app),esk35_0),
inference(split_conjunct,[status(thm)],[i_0_116]),
[final] ).
cnf(i_0_520,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_95]),
[final] ).
cnf(i_0_521,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_123]),
[final] ).
cnf(i_0_522,plain,
( X7 = X4
| X1 != X2
| X3 != X4
| X5 != vvar(X6)
| X2 != X6
| X7 != vsubst(X1,X3,X5) ),
inference(split_conjunct,[status(thm)],[i_0_124]),
[final] ).
cnf(i_0_523,plain,
vabs(X1,X2,X3) != vapp(X4,X5),
inference(split_conjunct,[status(thm)],[i_0_125]),
[final] ).
cnf(i_0_524,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_95]),
[final] ).
cnf(i_0_525,plain,
( X2 = vnoExp
| visSomeExp(esk65_2(X1,X2))
| ~ epred3_2(X2,X1)
| ~ visSomeExp(esk67_2(X1,X2)) ),
inference(cn,[status(thm)],[i_0_126]),
[final] ).
cnf(i_0_526,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_127]),
[final] ).
cnf(i_0_527,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_128]),
[final] ).
cnf(i_0_528,plain,
( X5 = vnoExp
| X1 != vabs(X2,X3,X4)
| X5 != vreduce(X1) ),
inference(split_conjunct,[status(thm)],[i_0_129]),
[final] ).
cnf(i_0_529,plain,
vvar(X1) != vabs(X2,X3,X4),
inference(split_conjunct,[status(thm)],[i_0_130]),
[final] ).
cnf(i_0_530,plain,
( visValue(X1)
| X1 != vabs(X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[i_0_131]),
[final] ).
cnf(i_0_531,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_118]),
[final] ).
cnf(i_0_532,plain,
( vtcheck(X2,vvar(X1),X3)
| vlookup(X1,X2) != vsomeType(X3) ),
inference(split_conjunct,[status(thm)],[i_0_132]),
[final] ).
cnf(i_0_533,plain,
vempty != vbind(X1,X2,X3),
inference(split_conjunct,[status(thm)],[i_0_133]),
[final] ).
cnf(i_0_534,plain,
( X2 = vnoExp
| visValue(esk69_2(X1,X2))
| visSomeExp(esk65_2(X1,X2))
| ~ epred3_2(X2,X1) ),
inference(cn,[status(thm)],[i_0_134]),
[final] ).
cnf(i_0_535,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_95]),
[final] ).
cnf(i_0_536,plain,
( visFreeVar(X3,X4)
| visFreeVar(X3,X5)
| ~ visFreeVar(X1,X2)
| X1 != X3
| X2 != vapp(X4,X5) ),
inference(split_conjunct,[status(thm)],[i_0_135]),
[final] ).
cnf(i_0_537,plain,
( epred4_2(X2,X1)
| ~ visSomeExp(esk23_2(X1,X2))
| vreduce(X1) != X2 ),
inference(split_conjunct,[status(thm)],[i_0_118]),
[final] ).
cnf(i_0_538,plain,
( visSomeExp(esk77_2(X1,X2))
| X2 = vnoExp
| epred3_2(X2,X1)
| ~ epred4_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_95]),
[final] ).
cnf(i_0_539,plain,
( esk23_2(X1,X2) = vreduce(esk22_2(X1,X2))
| epred4_2(X2,X1)
| vreduce(X1) != X2 ),
inference(split_conjunct,[status(thm)],[i_0_118]),
[final] ).
cnf(i_0_540,plain,
( visFreeVar(X3,X4)
| ~ visFreeVar(X1,X2)
| X3 != X1
| X4 != vapp(X2,X5) ),
inference(split_conjunct,[status(thm)],[i_0_135]),
[final] ).
cnf(i_0_541,plain,
( visFreeVar(X3,X4)
| ~ visFreeVar(X1,X2)
| X3 != X1
| X4 != vapp(X5,X2) ),
inference(split_conjunct,[status(thm)],[i_0_135]),
[final] ).
cnf(i_0_542,negated_conjecture,
~ visFreeVar(esk32_0,vapp(ve1app,ve2app)),
inference(split_conjunct,[status(thm)],[i_0_116]),
[final] ).
cnf(i_0_543,plain,
( X1 = X2
| varrow(X1,X3) != varrow(X2,X4) ),
inference(split_conjunct,[status(thm)],[i_0_136]),
[final] ).
cnf(i_0_544,plain,
( X1 = X2
| varrow(X3,X1) != varrow(X4,X2) ),
inference(split_conjunct,[status(thm)],[i_0_136]),
[final] ).
cnf(i_0_545,plain,
( X1 = X2
| vapp(X1,X3) != vapp(X2,X4) ),
inference(split_conjunct,[status(thm)],[i_0_137]),
[final] ).
cnf(i_0_546,plain,
( X1 = X2
| vapp(X3,X1) != vapp(X4,X2) ),
inference(split_conjunct,[status(thm)],[i_0_137]),
[final] ).
cnf(i_0_547,plain,
( X3 = X4
| ~ visFreeVar(X1,X2)
| X1 != X4
| X2 != vvar(X3) ),
inference(split_conjunct,[status(thm)],[i_0_138]),
[final] ).
cnf(i_0_548,plain,
( X4 = vnoType
| X1 != X2
| X3 != vempty
| X4 != vlookup(X1,X3) ),
inference(split_conjunct,[status(thm)],[i_0_139]),
[final] ).
cnf(i_0_549,plain,
( X1 != vapp(X2,X3)
| ~ visValue(X1) ),
inference(split_conjunct,[status(thm)],[i_0_140]),
[final] ).
cnf(i_0_550,plain,
( vgensym(X1) != X2
| ~ visFreeVar(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_141]),
[final] ).
cnf(i_0_551,plain,
( visFreeVar(X3,X4)
| X1 != X2
| X3 != X2
| X4 != vvar(X1) ),
inference(split_conjunct,[status(thm)],[i_0_138]),
[final] ).
cnf(i_0_552,plain,
vvar(X1) != vapp(X2,X3),
inference(split_conjunct,[status(thm)],[i_0_142]),
[final] ).
cnf(i_0_553,plain,
( X1 = vnoExp
| epred4_2(X1,X2)
| vreduce(X2) != X1 ),
inference(split_conjunct,[status(thm)],[i_0_118]),
[final] ).
cnf(i_0_554,plain,
( X3 = X2
| X1 != vsomeExp(X2)
| X3 != vgetSomeExp(X1) ),
inference(split_conjunct,[status(thm)],[i_0_143]),
[final] ).
cnf(i_0_555,plain,
( X3 = X2
| X1 != vsomeType(X2)
| X3 != vgetSomeType(X1) ),
inference(split_conjunct,[status(thm)],[i_0_144]),
[final] ).
cnf(i_0_556,plain,
( X3 = vnoExp
| X1 != vvar(X2)
| X3 != vreduce(X1) ),
inference(split_conjunct,[status(thm)],[i_0_145]),
[final] ).
cnf(i_0_557,plain,
( X1 != vvar(X2)
| ~ visValue(X1) ),
inference(split_conjunct,[status(thm)],[i_0_146]),
[final] ).
cnf(i_0_558,plain,
( X1 = X2
| vsomeExp(X1) != vsomeExp(X2) ),
inference(split_conjunct,[status(thm)],[i_0_147]),
[final] ).
cnf(i_0_559,plain,
( X1 = X2
| vsomeType(X1) != vsomeType(X2) ),
inference(split_conjunct,[status(thm)],[i_0_148]),
[final] ).
cnf(i_0_560,plain,
( X1 = X2
| vvar(X1) != vvar(X2) ),
inference(split_conjunct,[status(thm)],[i_0_149]),
[final] ).
cnf(i_0_561,plain,
( visSomeExp(X1)
| X1 != vsomeExp(X2) ),
inference(split_conjunct,[status(thm)],[i_0_150]),
[final] ).
cnf(i_0_562,plain,
( visSomeType(X1)
| X1 != vsomeType(X2) ),
inference(split_conjunct,[status(thm)],[i_0_151]),
[final] ).
cnf(i_0_563,plain,
( X1 != vnoExp
| ~ visSomeExp(X1) ),
inference(split_conjunct,[status(thm)],[i_0_152]),
[final] ).
cnf(i_0_564,plain,
( X1 != vnoType
| ~ visSomeType(X1) ),
inference(split_conjunct,[status(thm)],[i_0_153]),
[final] ).
cnf(i_0_565,plain,
vnoExp != vsomeExp(X1),
inference(split_conjunct,[status(thm)],[i_0_154]),
[final] ).
cnf(i_0_566,plain,
vnoType != vsomeType(X1),
inference(split_conjunct,[status(thm)],[i_0_155]),
[final] ).
cnf(i_0_567,axiom,
X1 = X1 ).
cnf(i_0_568,axiom,
( X1 = X2
| X2 != X1 ) ).
cnf(i_0_569,axiom,
( X1 = X2
| X1 != X3
| X3 != X2 ) ).
cnf(i_0_570,axiom,
( X1 != X2
| vsubst(X1,X3,X4) = vsubst(X2,X3,X4) ) ).
cnf(i_0_571,axiom,
( X1 != X2
| vsubst(X3,X1,X4) = vsubst(X3,X2,X4) ) ).
cnf(i_0_572,axiom,
( X1 != X2
| vsubst(X3,X4,X1) = vsubst(X3,X4,X2) ) ).
cnf(i_0_573,axiom,
( X1 != X2
| esk48_4(X1,X3,X4,X5) = esk48_4(X2,X3,X4,X5) ) ).
cnf(i_0_574,axiom,
( X1 != X2
| esk48_4(X3,X1,X4,X5) = esk48_4(X3,X2,X4,X5) ) ).
cnf(i_0_575,axiom,
( X1 != X2
| esk48_4(X3,X4,X1,X5) = esk48_4(X3,X4,X2,X5) ) ).
cnf(i_0_576,axiom,
( X1 != X2
| esk48_4(X3,X4,X5,X1) = esk48_4(X3,X4,X5,X2) ) ).
cnf(i_0_577,axiom,
( X1 != X2
| vapp(X1,X3) = vapp(X2,X3) ) ).
cnf(i_0_578,axiom,
( X1 != X2
| vapp(X3,X1) = vapp(X3,X2) ) ).
cnf(i_0_579,axiom,
( X1 != X2
| esk43_4(X1,X3,X4,X5) = esk43_4(X2,X3,X4,X5) ) ).
cnf(i_0_580,axiom,
( X1 != X2
| esk43_4(X3,X1,X4,X5) = esk43_4(X3,X2,X4,X5) ) ).
cnf(i_0_581,axiom,
( X1 != X2
| esk43_4(X3,X4,X1,X5) = esk43_4(X3,X4,X2,X5) ) ).
cnf(i_0_582,axiom,
( X1 != X2
| esk43_4(X3,X4,X5,X1) = esk43_4(X3,X4,X5,X2) ) ).
cnf(i_0_583,axiom,
( X1 != X2
| esk44_4(X1,X3,X4,X5) = esk44_4(X2,X3,X4,X5) ) ).
cnf(i_0_584,axiom,
( X1 != X2
| esk44_4(X3,X1,X4,X5) = esk44_4(X3,X2,X4,X5) ) ).
cnf(i_0_585,axiom,
( X1 != X2
| esk44_4(X3,X4,X1,X5) = esk44_4(X3,X4,X2,X5) ) ).
cnf(i_0_586,axiom,
( X1 != X2
| esk44_4(X3,X4,X5,X1) = esk44_4(X3,X4,X5,X2) ) ).
cnf(i_0_587,axiom,
( X1 != X2
| esk47_4(X1,X3,X4,X5) = esk47_4(X2,X3,X4,X5) ) ).
cnf(i_0_588,axiom,
( X1 != X2
| esk47_4(X3,X1,X4,X5) = esk47_4(X3,X2,X4,X5) ) ).
cnf(i_0_589,axiom,
( X1 != X2
| esk47_4(X3,X4,X1,X5) = esk47_4(X3,X4,X2,X5) ) ).
cnf(i_0_590,axiom,
( X1 != X2
| esk47_4(X3,X4,X5,X1) = esk47_4(X3,X4,X5,X2) ) ).
cnf(i_0_591,axiom,
( X1 != X2
| esk46_4(X1,X3,X4,X5) = esk46_4(X2,X3,X4,X5) ) ).
cnf(i_0_592,axiom,
( X1 != X2
| esk46_4(X3,X1,X4,X5) = esk46_4(X3,X2,X4,X5) ) ).
cnf(i_0_593,axiom,
( X1 != X2
| esk46_4(X3,X4,X1,X5) = esk46_4(X3,X4,X2,X5) ) ).
cnf(i_0_594,axiom,
( X1 != X2
| esk46_4(X3,X4,X5,X1) = esk46_4(X3,X4,X5,X2) ) ).
cnf(i_0_595,axiom,
( X1 != X2
| esk51_4(X1,X3,X4,X5) = esk51_4(X2,X3,X4,X5) ) ).
cnf(i_0_596,axiom,
( X1 != X2
| esk51_4(X3,X1,X4,X5) = esk51_4(X3,X2,X4,X5) ) ).
cnf(i_0_597,axiom,
( X1 != X2
| esk51_4(X3,X4,X1,X5) = esk51_4(X3,X4,X2,X5) ) ).
cnf(i_0_598,axiom,
( X1 != X2
| esk51_4(X3,X4,X5,X1) = esk51_4(X3,X4,X5,X2) ) ).
cnf(i_0_599,axiom,
( X1 != X2
| vgensym(X1) = vgensym(X2) ) ).
cnf(i_0_600,axiom,
( X1 != X2
| vsomeExp(X1) = vsomeExp(X2) ) ).
cnf(i_0_601,axiom,
( X1 != X2
| vgetSomeExp(X1) = vgetSomeExp(X2) ) ).
cnf(i_0_602,axiom,
( X1 != X2
| vreduce(X1) = vreduce(X2) ) ).
cnf(i_0_603,axiom,
( X1 != X2
| esk10_4(X1,X3,X4,X5) = esk10_4(X2,X3,X4,X5) ) ).
cnf(i_0_604,axiom,
( X1 != X2
| esk10_4(X3,X1,X4,X5) = esk10_4(X3,X2,X4,X5) ) ).
cnf(i_0_605,axiom,
( X1 != X2
| esk10_4(X3,X4,X1,X5) = esk10_4(X3,X4,X2,X5) ) ).
cnf(i_0_606,axiom,
( X1 != X2
| esk10_4(X3,X4,X5,X1) = esk10_4(X3,X4,X5,X2) ) ).
cnf(i_0_607,axiom,
( X1 != X2
| esk12_4(X1,X3,X4,X5) = esk12_4(X2,X3,X4,X5) ) ).
cnf(i_0_608,axiom,
( X1 != X2
| esk12_4(X3,X1,X4,X5) = esk12_4(X3,X2,X4,X5) ) ).
cnf(i_0_609,axiom,
( X1 != X2
| esk12_4(X3,X4,X1,X5) = esk12_4(X3,X4,X2,X5) ) ).
cnf(i_0_610,axiom,
( X1 != X2
| esk12_4(X3,X4,X5,X1) = esk12_4(X3,X4,X5,X2) ) ).
cnf(i_0_611,axiom,
( X1 != X2
| esk52_4(X1,X3,X4,X5) = esk52_4(X2,X3,X4,X5) ) ).
cnf(i_0_612,axiom,
( X1 != X2
| esk52_4(X3,X1,X4,X5) = esk52_4(X3,X2,X4,X5) ) ).
cnf(i_0_613,axiom,
( X1 != X2
| esk52_4(X3,X4,X1,X5) = esk52_4(X3,X4,X2,X5) ) ).
cnf(i_0_614,axiom,
( X1 != X2
| esk52_4(X3,X4,X5,X1) = esk52_4(X3,X4,X5,X2) ) ).
cnf(i_0_615,axiom,
( X1 != X2
| esk13_4(X1,X3,X4,X5) = esk13_4(X2,X3,X4,X5) ) ).
cnf(i_0_616,axiom,
( X1 != X2
| esk13_4(X3,X1,X4,X5) = esk13_4(X3,X2,X4,X5) ) ).
cnf(i_0_617,axiom,
( X1 != X2
| esk13_4(X3,X4,X1,X5) = esk13_4(X3,X4,X2,X5) ) ).
cnf(i_0_618,axiom,
( X1 != X2
| esk13_4(X3,X4,X5,X1) = esk13_4(X3,X4,X5,X2) ) ).
cnf(i_0_619,axiom,
( X1 != X2
| esk37_4(X1,X3,X4,X5) = esk37_4(X2,X3,X4,X5) ) ).
cnf(i_0_620,axiom,
( X1 != X2
| esk37_4(X3,X1,X4,X5) = esk37_4(X3,X2,X4,X5) ) ).
cnf(i_0_621,axiom,
( X1 != X2
| esk37_4(X3,X4,X1,X5) = esk37_4(X3,X4,X2,X5) ) ).
cnf(i_0_622,axiom,
( X1 != X2
| esk37_4(X3,X4,X5,X1) = esk37_4(X3,X4,X5,X2) ) ).
cnf(i_0_623,axiom,
( X1 != X2
| esk40_4(X1,X3,X4,X5) = esk40_4(X2,X3,X4,X5) ) ).
cnf(i_0_624,axiom,
( X1 != X2
| esk40_4(X3,X1,X4,X5) = esk40_4(X3,X2,X4,X5) ) ).
cnf(i_0_625,axiom,
( X1 != X2
| esk40_4(X3,X4,X1,X5) = esk40_4(X3,X4,X2,X5) ) ).
cnf(i_0_626,axiom,
( X1 != X2
| esk40_4(X3,X4,X5,X1) = esk40_4(X3,X4,X5,X2) ) ).
cnf(i_0_627,axiom,
( X1 != X2
| esk41_4(X1,X3,X4,X5) = esk41_4(X2,X3,X4,X5) ) ).
cnf(i_0_628,axiom,
( X1 != X2
| esk41_4(X3,X1,X4,X5) = esk41_4(X3,X2,X4,X5) ) ).
cnf(i_0_629,axiom,
( X1 != X2
| esk41_4(X3,X4,X1,X5) = esk41_4(X3,X4,X2,X5) ) ).
cnf(i_0_630,axiom,
( X1 != X2
| esk41_4(X3,X4,X5,X1) = esk41_4(X3,X4,X5,X2) ) ).
cnf(i_0_631,axiom,
( X1 != X2
| esk36_4(X1,X3,X4,X5) = esk36_4(X2,X3,X4,X5) ) ).
cnf(i_0_632,axiom,
( X1 != X2
| esk36_4(X3,X1,X4,X5) = esk36_4(X3,X2,X4,X5) ) ).
cnf(i_0_633,axiom,
( X1 != X2
| esk36_4(X3,X4,X1,X5) = esk36_4(X3,X4,X2,X5) ) ).
cnf(i_0_634,axiom,
( X1 != X2
| esk36_4(X3,X4,X5,X1) = esk36_4(X3,X4,X5,X2) ) ).
cnf(i_0_635,axiom,
( X1 != X2
| esk38_4(X1,X3,X4,X5) = esk38_4(X2,X3,X4,X5) ) ).
cnf(i_0_636,axiom,
( X1 != X2
| esk38_4(X3,X1,X4,X5) = esk38_4(X3,X2,X4,X5) ) ).
cnf(i_0_637,axiom,
( X1 != X2
| esk38_4(X3,X4,X1,X5) = esk38_4(X3,X4,X2,X5) ) ).
cnf(i_0_638,axiom,
( X1 != X2
| esk38_4(X3,X4,X5,X1) = esk38_4(X3,X4,X5,X2) ) ).
cnf(i_0_639,axiom,
( X1 != X2
| vabs(X1,X3,X4) = vabs(X2,X3,X4) ) ).
cnf(i_0_640,axiom,
( X1 != X2
| vabs(X3,X1,X4) = vabs(X3,X2,X4) ) ).
cnf(i_0_641,axiom,
( X1 != X2
| vabs(X3,X4,X1) = vabs(X3,X4,X2) ) ).
cnf(i_0_642,axiom,
( X1 != X2
| varrow(X1,X3) = varrow(X2,X3) ) ).
cnf(i_0_643,axiom,
( X1 != X2
| varrow(X3,X1) = varrow(X3,X2) ) ).
cnf(i_0_644,axiom,
( X1 != X2
| vbind(X1,X3,X4) = vbind(X2,X3,X4) ) ).
cnf(i_0_645,axiom,
( X1 != X2
| vbind(X3,X1,X4) = vbind(X3,X2,X4) ) ).
cnf(i_0_646,axiom,
( X1 != X2
| vbind(X3,X4,X1) = vbind(X3,X4,X2) ) ).
cnf(i_0_647,axiom,
( X1 != X2
| vlookup(X1,X3) = vlookup(X2,X3) ) ).
cnf(i_0_648,axiom,
( X1 != X2
| vlookup(X3,X1) = vlookup(X3,X2) ) ).
cnf(i_0_649,axiom,
( X1 != X2
| esk55_4(X1,X3,X4,X5) = esk55_4(X2,X3,X4,X5) ) ).
cnf(i_0_650,axiom,
( X1 != X2
| esk55_4(X3,X1,X4,X5) = esk55_4(X3,X2,X4,X5) ) ).
cnf(i_0_651,axiom,
( X1 != X2
| esk55_4(X3,X4,X1,X5) = esk55_4(X3,X4,X2,X5) ) ).
cnf(i_0_652,axiom,
( X1 != X2
| esk55_4(X3,X4,X5,X1) = esk55_4(X3,X4,X5,X2) ) ).
cnf(i_0_653,axiom,
( X1 != X2
| vsomeType(X1) = vsomeType(X2) ) ).
cnf(i_0_654,axiom,
( X1 != X2
| esk65_2(X1,X3) = esk65_2(X2,X3) ) ).
cnf(i_0_655,axiom,
( X1 != X2
| esk65_2(X3,X1) = esk65_2(X3,X2) ) ).
cnf(i_0_656,axiom,
( X1 != X2
| esk39_4(X1,X3,X4,X5) = esk39_4(X2,X3,X4,X5) ) ).
cnf(i_0_657,axiom,
( X1 != X2
| esk39_4(X3,X1,X4,X5) = esk39_4(X3,X2,X4,X5) ) ).
cnf(i_0_658,axiom,
( X1 != X2
| esk39_4(X3,X4,X1,X5) = esk39_4(X3,X4,X2,X5) ) ).
cnf(i_0_659,axiom,
( X1 != X2
| esk39_4(X3,X4,X5,X1) = esk39_4(X3,X4,X5,X2) ) ).
cnf(i_0_660,axiom,
( X1 != X2
| esk67_2(X1,X3) = esk67_2(X2,X3) ) ).
cnf(i_0_661,axiom,
( X1 != X2
| esk67_2(X3,X1) = esk67_2(X3,X2) ) ).
cnf(i_0_662,axiom,
( X1 != X2
| esk7_3(X1,X3,X4) = esk7_3(X2,X3,X4) ) ).
cnf(i_0_663,axiom,
( X1 != X2
| esk7_3(X3,X1,X4) = esk7_3(X3,X2,X4) ) ).
cnf(i_0_664,axiom,
( X1 != X2
| esk7_3(X3,X4,X1) = esk7_3(X3,X4,X2) ) ).
cnf(i_0_665,axiom,
( X1 != X2
| esk4_3(X1,X3,X4) = esk4_3(X2,X3,X4) ) ).
cnf(i_0_666,axiom,
( X1 != X2
| esk4_3(X3,X1,X4) = esk4_3(X3,X2,X4) ) ).
cnf(i_0_667,axiom,
( X1 != X2
| esk4_3(X3,X4,X1) = esk4_3(X3,X4,X2) ) ).
cnf(i_0_668,axiom,
( X1 != X2
| esk54_4(X1,X3,X4,X5) = esk54_4(X2,X3,X4,X5) ) ).
cnf(i_0_669,axiom,
( X1 != X2
| esk54_4(X3,X1,X4,X5) = esk54_4(X3,X2,X4,X5) ) ).
cnf(i_0_670,axiom,
( X1 != X2
| esk54_4(X3,X4,X1,X5) = esk54_4(X3,X4,X2,X5) ) ).
cnf(i_0_671,axiom,
( X1 != X2
| esk54_4(X3,X4,X5,X1) = esk54_4(X3,X4,X5,X2) ) ).
cnf(i_0_672,axiom,
( X1 != X2
| esk1_3(X1,X3,X4) = esk1_3(X2,X3,X4) ) ).
cnf(i_0_673,axiom,
( X1 != X2
| esk1_3(X3,X1,X4) = esk1_3(X3,X2,X4) ) ).
cnf(i_0_674,axiom,
( X1 != X2
| esk1_3(X3,X4,X1) = esk1_3(X3,X4,X2) ) ).
cnf(i_0_675,axiom,
( X1 != X2
| esk8_3(X1,X3,X4) = esk8_3(X2,X3,X4) ) ).
cnf(i_0_676,axiom,
( X1 != X2
| esk8_3(X3,X1,X4) = esk8_3(X3,X2,X4) ) ).
cnf(i_0_677,axiom,
( X1 != X2
| esk8_3(X3,X4,X1) = esk8_3(X3,X4,X2) ) ).
cnf(i_0_678,axiom,
( X1 != X2
| esk3_3(X1,X3,X4) = esk3_3(X2,X3,X4) ) ).
cnf(i_0_679,axiom,
( X1 != X2
| esk3_3(X3,X1,X4) = esk3_3(X3,X2,X4) ) ).
cnf(i_0_680,axiom,
( X1 != X2
| esk3_3(X3,X4,X1) = esk3_3(X3,X4,X2) ) ).
cnf(i_0_681,axiom,
( X1 != X2
| esk77_2(X1,X3) = esk77_2(X2,X3) ) ).
cnf(i_0_682,axiom,
( X1 != X2
| esk77_2(X3,X1) = esk77_2(X3,X2) ) ).
cnf(i_0_683,axiom,
( X1 != X2
| vvar(X1) = vvar(X2) ) ).
cnf(i_0_684,axiom,
( X1 != X2
| esk76_2(X1,X3) = esk76_2(X2,X3) ) ).
cnf(i_0_685,axiom,
( X1 != X2
| esk76_2(X3,X1) = esk76_2(X3,X2) ) ).
cnf(i_0_686,axiom,
( X1 != X2
| esk74_2(X1,X3) = esk74_2(X2,X3) ) ).
cnf(i_0_687,axiom,
( X1 != X2
| esk74_2(X3,X1) = esk74_2(X3,X2) ) ).
cnf(i_0_688,axiom,
( X1 != X2
| esk22_2(X1,X3) = esk22_2(X2,X3) ) ).
cnf(i_0_689,axiom,
( X1 != X2
| esk22_2(X3,X1) = esk22_2(X3,X2) ) ).
cnf(i_0_690,axiom,
( X1 != X2
| esk23_2(X1,X3) = esk23_2(X2,X3) ) ).
cnf(i_0_691,axiom,
( X1 != X2
| esk23_2(X3,X1) = esk23_2(X3,X2) ) ).
cnf(i_0_692,axiom,
( X1 != X2
| vgetSomeType(X1) = vgetSomeType(X2) ) ).
cnf(i_0_693,axiom,
( X1 != X2
| ~ epred1_4(X1,X3,X4,X5)
| epred1_4(X2,X3,X4,X5) ) ).
cnf(i_0_694,axiom,
( X1 != X2
| ~ epred1_4(X3,X1,X4,X5)
| epred1_4(X3,X2,X4,X5) ) ).
cnf(i_0_695,axiom,
( X1 != X2
| ~ epred1_4(X3,X4,X1,X5)
| epred1_4(X3,X4,X2,X5) ) ).
cnf(i_0_696,axiom,
( X1 != X2
| ~ epred1_4(X3,X4,X5,X1)
| epred1_4(X3,X4,X5,X2) ) ).
cnf(i_0_697,axiom,
( X1 != X2
| ~ epred2_4(X1,X3,X4,X5)
| epred2_4(X2,X3,X4,X5) ) ).
cnf(i_0_698,axiom,
( X1 != X2
| ~ epred2_4(X3,X1,X4,X5)
| epred2_4(X3,X2,X4,X5) ) ).
cnf(i_0_699,axiom,
( X1 != X2
| ~ epred2_4(X3,X4,X1,X5)
| epred2_4(X3,X4,X2,X5) ) ).
cnf(i_0_700,axiom,
( X1 != X2
| ~ epred2_4(X3,X4,X5,X1)
| epred2_4(X3,X4,X5,X2) ) ).
cnf(i_0_701,axiom,
( X1 != X2
| ~ visFreeVar(X1,X3)
| visFreeVar(X2,X3) ) ).
cnf(i_0_702,axiom,
( X1 != X2
| ~ visFreeVar(X3,X1)
| visFreeVar(X3,X2) ) ).
cnf(i_0_703,axiom,
( X1 != X2
| ~ visSomeExp(X1)
| visSomeExp(X2) ) ).
cnf(i_0_704,axiom,
( X1 != X2
| ~ vtcheck(X1,X3,X4)
| vtcheck(X2,X3,X4) ) ).
cnf(i_0_705,axiom,
( X1 != X2
| ~ vtcheck(X3,X1,X4)
| vtcheck(X3,X2,X4) ) ).
cnf(i_0_706,axiom,
( X1 != X2
| ~ vtcheck(X3,X4,X1)
| vtcheck(X3,X4,X2) ) ).
cnf(i_0_707,axiom,
( X1 != X2
| ~ epred3_2(X1,X3)
| epred3_2(X2,X3) ) ).
cnf(i_0_708,axiom,
( X1 != X2
| ~ epred3_2(X3,X1)
| epred3_2(X3,X2) ) ).
cnf(i_0_709,axiom,
( X1 != X2
| ~ visValue(X1)
| visValue(X2) ) ).
cnf(i_0_710,axiom,
( X1 != X2
| ~ epred4_2(X1,X3)
| epred4_2(X2,X3) ) ).
cnf(i_0_711,axiom,
( X1 != X2
| ~ epred4_2(X3,X1)
| epred4_2(X3,X2) ) ).
cnf(i_0_712,axiom,
( X1 != X2
| ~ visSomeType(X1)
| visSomeType(X2) ) ).
cnf(i_0_753,plain,
X1 = X1,
inference(equality_inference,[],[487]) ).
cnf(i_0_754,plain,
X1 = X1,
inference(equality_inference,[],[488]) ).
cnf(i_0_755,plain,
X1 = X1,
inference(equality_inference,[],[489]) ).
cnf(i_0_756,plain,
X1 = X1,
inference(equality_inference,[],[490]) ).
cnf(i_0_757,plain,
X1 = X1,
inference(equality_inference,[],[491]) ).
cnf(i_0_758,plain,
X1 = X1,
inference(equality_inference,[],[492]) ).
cnf(i_0_761,plain,
visValue(vabs(X1,X2,X3)),
inference(equality_inference,[],[530]) ).
cnf(i_0_765,plain,
X1 = X1,
inference(equality_inference,[],[543]) ).
cnf(i_0_766,plain,
X1 = X1,
inference(equality_inference,[],[544]) ).
cnf(i_0_767,plain,
X1 = X1,
inference(equality_inference,[],[545]) ).
cnf(i_0_768,plain,
X1 = X1,
inference(equality_inference,[],[546]) ).
cnf(i_0_769,plain,
~ visValue(vapp(X1,X2)),
inference(equality_inference,[],[549]) ).
cnf(i_0_770,plain,
~ visFreeVar(vgensym(X1),X1),
inference(equality_inference,[],[550]) ).
cnf(i_0_772,plain,
~ visValue(vvar(X1)),
inference(equality_inference,[],[557]) ).
cnf(i_0_773,plain,
X1 = X1,
inference(equality_inference,[],[558]) ).
cnf(i_0_774,plain,
X1 = X1,
inference(equality_inference,[],[559]) ).
cnf(i_0_775,plain,
X1 = X1,
inference(equality_inference,[],[560]) ).
cnf(i_0_776,plain,
visSomeExp(vsomeExp(X1)),
inference(equality_inference,[],[561]) ).
cnf(i_0_777,plain,
visSomeType(vsomeType(X1)),
inference(equality_inference,[],[562]) ).
cnf(i_0_778,plain,
~ visSomeExp(vnoExp),
inference(equality_inference,[],[563]) ).
cnf(i_0_779,plain,
~ visSomeType(vnoType),
inference(equality_inference,[],[564]) ).
cnf(i_0_780,plain,
vtcheck(esk34_0,vabs(esk32_0,esk33_0,vapp(ve1app,ve2app)),varrow(esk33_0,esk35_0)),
inference(scs_inference,[],[i_0_493,i_0_416]) ).
cnf(i_0_783,plain,
vvar(X1) != vabs(X2,X3,X4),
inference(rename_variables,[],[i_0_529]) ).
cnf(i_0_786,plain,
vabs(X1,X2,X3) != vapp(X4,X5),
inference(rename_variables,[],[i_0_523]) ).
cnf(i_0_794,plain,
vempty != vbind(X1,X2,X3),
inference(rename_variables,[],[i_0_533]) ).
cnf(i_0_796,plain,
vempty != vbind(X1,X2,X3),
inference(rename_variables,[],[i_0_533]) ).
cnf(i_0_799,plain,
vvar(X1) != vapp(X2,X3),
inference(rename_variables,[],[i_0_552]) ).
cnf(i_0_802,plain,
vvar(X1) != vabs(X2,X3,X4),
inference(rename_variables,[],[i_0_529]) ).
cnf(i_0_805,plain,
vvar(X1) != vabs(X2,X3,X4),
inference(rename_variables,[],[i_0_529]) ).
cnf(i_0_810,plain,
vabs(X1,X2,X3) != vapp(X4,X5),
inference(rename_variables,[],[i_0_523]) ).
cnf(i_0_813,plain,
vnoExp != vsomeExp(X1),
inference(rename_variables,[],[i_0_565]) ).
cnf(i_0_814,plain,
vabs(X1,X2,X3) != vapp(X4,X5),
inference(rename_variables,[],[i_0_523]) ).
cnf(i_0_816,plain,
vempty != vbind(X1,X2,X3),
inference(rename_variables,[],[i_0_533]) ).
cnf(i_0_817,plain,
vempty != vbind(X1,X2,X3),
inference(rename_variables,[],[i_0_533]) ).
cnf(i_0_818,plain,
vvar(X1) != vabs(X2,X3,X4),
inference(rename_variables,[],[i_0_529]) ).
cnf(i_0_819,plain,
vvar(X1) != vabs(X2,X3,X4),
inference(rename_variables,[],[i_0_529]) ).
cnf(i_0_823,plain,
vvar(X1) != vapp(X2,X3),
inference(rename_variables,[],[i_0_552]) ).
cnf(i_0_826,plain,
vvar(X1) != vapp(X2,X3),
inference(rename_variables,[],[i_0_552]) ).
cnf(i_0_828,plain,
vempty != vbind(X1,X2,X3),
inference(rename_variables,[],[i_0_533]) ).
cnf(i_0_829,plain,
vempty != vbind(X1,X2,X3),
inference(rename_variables,[],[i_0_533]) ).
cnf(i_0_830,plain,
vvar(X1) != vabs(X2,X3,X4),
inference(rename_variables,[],[i_0_529]) ).
cnf(i_0_831,plain,
vvar(X1) != vabs(X2,X3,X4),
inference(rename_variables,[],[i_0_529]) ).
cnf(i_0_839,plain,
vempty != vbind(X1,X2,X3),
inference(rename_variables,[],[i_0_533]) ).
cnf(i_0_842,plain,
vempty != vbind(X1,X2,X3),
inference(rename_variables,[],[i_0_533]) ).
cnf(i_0_849,plain,
vempty != vbind(X1,X2,X3),
inference(rename_variables,[],[i_0_533]) ).
cnf(i_0_859,plain,
vvar(X1) != vabs(X2,X3,X4),
inference(rename_variables,[],[i_0_529]) ).
cnf(i_0_860,plain,
vvar(X1) != vabs(X2,X3,X4),
inference(rename_variables,[],[i_0_529]) ).
cnf(i_0_861,plain,
vempty != vbind(X1,X2,X3),
inference(rename_variables,[],[i_0_533]) ).
cnf(i_0_862,plain,
vempty != vbind(X1,X2,X3),
inference(rename_variables,[],[i_0_533]) ).
cnf(i_0_896,plain,
vabs(X1,X2,X3) != vapp(X4,X5),
inference(rename_variables,[],[i_0_523]) ).
cnf(i_0_926,plain,
vabs(X1,X2,X3) != vapp(X4,X5),
inference(rename_variables,[],[i_0_523]) ).
cnf(i_0_935,plain,
vempty != vbind(X1,X2,X3),
inference(rename_variables,[],[i_0_533]) ).
cnf(i_0_956,plain,
vvar(X1) != vapp(X2,X3),
inference(rename_variables,[],[i_0_552]) ).
cnf(i_0_1037,plain,
vvar(X1) != vabs(X2,X3,X4),
inference(rename_variables,[],[i_0_529]) ).
cnf(i_0_1055,plain,
vvar(X1) != vabs(X2,X3,X4),
inference(rename_variables,[],[i_0_529]) ).
cnf(i_0_1056,plain,
vvar(X1) != vabs(X2,X3,X4),
inference(rename_variables,[],[i_0_529]) ).
cnf(i_0_1058,plain,
vvar(X1) != vabs(X2,X3,X4),
inference(rename_variables,[],[i_0_529]) ).
cnf(i_0_1059,plain,
vvar(X1) != vapp(X2,X3),
inference(rename_variables,[],[i_0_552]) ).
cnf(i_0_1078,plain,
vvar(X1) != vabs(X2,X3,X4),
inference(rename_variables,[],[i_0_529]) ).
cnf(i_0_1080,plain,
vvar(X1) != vabs(X2,X3,X4),
inference(rename_variables,[],[i_0_529]) ).
cnf(i_0_1081,plain,
vvar(X1) != vapp(X2,X3),
inference(rename_variables,[],[i_0_552]) ).
cnf(i_0_1083,plain,
vempty != vbind(X1,X2,X3),
inference(rename_variables,[],[i_0_533]) ).
cnf(i_0_1100,plain,
vnoType != vsomeType(X1),
inference(rename_variables,[],[i_0_566]) ).
cnf(i_0_1101,plain,
vempty != vbind(X1,X2,X3),
inference(rename_variables,[],[i_0_533]) ).
cnf(i_0_1136,plain,
vempty != vbind(X1,X2,X3),
inference(rename_variables,[],[i_0_533]) ).
cnf(i_0_1140,plain,
vempty != vbind(X1,X2,X3),
inference(rename_variables,[],[i_0_533]) ).
cnf(i_0_1143,plain,
vnoType != vsomeType(X1),
inference(rename_variables,[],[i_0_566]) ).
cnf(i_0_1145,plain,
vabs(X1,X2,X3) != vapp(X4,X5),
inference(rename_variables,[],[i_0_523]) ).
cnf(i_0_1154,plain,
vvar(X1) != vapp(X2,X3),
inference(rename_variables,[],[i_0_552]) ).
cnf(i_0_1156,plain,
vnoType != vsomeType(X1),
inference(rename_variables,[],[i_0_566]) ).
cnf(i_0_1157,plain,
vnoType != vsomeType(X1),
inference(rename_variables,[],[i_0_566]) ).
cnf(i_0_1159,plain,
vnoExp != vsomeExp(X1),
inference(rename_variables,[],[i_0_565]) ).
cnf(i_0_1160,plain,
vabs(X1,X2,X3) != vapp(X4,X5),
inference(rename_variables,[],[i_0_523]) ).
cnf(i_0_1186,plain,
vnoType != vsomeType(X1),
inference(rename_variables,[],[i_0_566]) ).
cnf(i_0_1188,plain,
vabs(X1,X2,X3) != vapp(X4,X5),
inference(rename_variables,[],[i_0_523]) ).
cnf(i_0_1222,plain,
vempty != vbind(X1,X2,X3),
inference(rename_variables,[],[i_0_533]) ).
cnf(i_0_1225,plain,
vempty != vbind(X1,X2,X3),
inference(rename_variables,[],[i_0_533]) ).
cnf(i_0_1228,plain,
vempty != vbind(X1,X2,X3),
inference(rename_variables,[],[i_0_533]) ).
cnf(i_0_1231,plain,
vempty != vbind(X1,X2,X3),
inference(rename_variables,[],[i_0_533]) ).
cnf(i_0_1234,plain,
vempty != vbind(X1,X2,X3),
inference(rename_variables,[],[i_0_533]) ).
cnf(i_0_1237,plain,
vempty != vbind(X1,X2,X3),
inference(rename_variables,[],[i_0_533]) ).
cnf(i_0_1245,plain,
vvar(X1) != vabs(X2,X3,X4),
inference(rename_variables,[],[i_0_529]) ).
cnf(i_0_1246,plain,
vvar(X1) != vapp(X2,X3),
inference(rename_variables,[],[i_0_552]) ).
cnf(i_0_1249,plain,
vvar(X1) != vapp(X2,X3),
inference(rename_variables,[],[i_0_552]) ).
cnf(i_0_1269,plain,
vabs(X1,X2,X3) != vapp(X4,X5),
inference(rename_variables,[],[i_0_523]) ).
cnf(i_0_1273,plain,
vnoType != vsomeType(X1),
inference(rename_variables,[],[i_0_566]) ).
cnf(i_0_1284,plain,
vabs(X1,X2,X3) != vapp(X4,X5),
inference(rename_variables,[],[i_0_523]) ).
cnf(i_0_1295,plain,
vabs(X1,X2,X3) != vapp(X4,X5),
inference(rename_variables,[],[i_0_523]) ).
cnf(i_0_1308,plain,
vabs(X1,X2,X3) != vapp(X4,X5),
inference(rename_variables,[],[i_0_523]) ).
cnf(i_0_1316,plain,
vabs(X1,X2,X3) != vapp(X4,X5),
inference(rename_variables,[],[i_0_523]) ).
cnf(i_0_1327,plain,
vabs(X1,X2,X3) != vapp(X4,X5),
inference(rename_variables,[],[i_0_523]) ).
cnf(i_0_1351,plain,
vvar(X1) != vapp(X2,X3),
inference(rename_variables,[],[i_0_552]) ).
cnf(i_0_1360,plain,
vvar(X1) != vapp(X2,X3),
inference(rename_variables,[],[i_0_552]) ).
cnf(i_0_1376,plain,
vabs(X1,X2,X3) != vapp(X4,X5),
inference(rename_variables,[],[i_0_523]) ).
cnf(i_0_1383,plain,
vabs(X1,X2,X3) != vapp(X4,X5),
inference(rename_variables,[],[i_0_523]) ).
cnf(i_0_1402,plain,
vempty != vbind(X1,X2,X3),
inference(rename_variables,[],[i_0_533]) ).
cnf(i_0_1426,plain,
vvar(X1) != vapp(X2,X3),
inference(rename_variables,[],[i_0_552]) ).
cnf(i_0_1440,plain,
vempty != vbind(X1,X2,X3),
inference(rename_variables,[],[i_0_533]) ).
cnf(i_0_1443,plain,
vnoType != vsomeType(X1),
inference(rename_variables,[],[i_0_566]) ).
cnf(i_0_1444,plain,
vempty != vbind(X1,X2,X3),
inference(rename_variables,[],[i_0_533]) ).
cnf(i_0_1642,plain,
vnoExp != vsomeExp(X1),
inference(rename_variables,[],[i_0_565]) ).
cnf(i_0_1687,plain,
vnoExp != vsomeExp(X1),
inference(rename_variables,[],[i_0_565]) ).
cnf(i_0_1688,plain,
vnoExp != vsomeExp(X1),
inference(rename_variables,[],[i_0_565]) ).
cnf(i_0_1690,plain,
vvar(X1) != vapp(X2,X3),
inference(rename_variables,[],[i_0_552]) ).
cnf(i_0_1746,plain,
vempty != vbind(X1,X2,X3),
inference(rename_variables,[],[i_0_533]) ).
cnf(i_0_1747,plain,
vempty != vbind(X1,X2,X3),
inference(rename_variables,[],[i_0_533]) ).
cnf(i_0_1849,plain,
vempty != vbind(X1,X2,X3),
inference(rename_variables,[],[i_0_533]) ).
cnf(i_0_1850,plain,
vempty != vbind(X1,X2,X3),
inference(rename_variables,[],[i_0_533]) ).
cnf(i_0_1863,plain,
vvar(X1) != vabs(X2,X3,X4),
inference(rename_variables,[],[i_0_529]) ).
cnf(i_0_1864,plain,
vvar(X1) != vabs(X2,X3,X4),
inference(rename_variables,[],[i_0_529]) ).
cnf(i_0_1866,plain,
vvar(X1) != vapp(X2,X3),
inference(rename_variables,[],[i_0_552]) ).
cnf(i_0_1869,plain,
vvar(X1) != vapp(X2,X3),
inference(rename_variables,[],[i_0_552]) ).
cnf(i_0_1884,plain,
vvar(X1) != vapp(X2,X3),
inference(rename_variables,[],[i_0_552]) ).
cnf(i_0_1897,plain,
vvar(X1) != vabs(X2,X3,X4),
inference(rename_variables,[],[i_0_529]) ).
cnf(i_0_1912,plain,
vvar(X1) != vapp(X2,X3),
inference(rename_variables,[],[i_0_552]) ).
cnf(i_0_1920,plain,
vempty != vbind(X1,X2,X3),
inference(rename_variables,[],[i_0_533]) ).
cnf(i_0_1927,plain,
vempty != vbind(X1,X2,X3),
inference(rename_variables,[],[i_0_533]) ).
cnf(i_0_1935,plain,
vempty != vbind(X1,X2,X3),
inference(rename_variables,[],[i_0_533]) ).
cnf(i_0_1959,plain,
vempty != vbind(X1,X2,X3),
inference(rename_variables,[],[i_0_533]) ).
cnf(i_0_1979,plain,
vabs(X1,X2,X3) != vapp(X4,X5),
inference(rename_variables,[],[i_0_523]) ).
cnf(i_0_1988,plain,
vabs(X1,X2,X3) != vapp(X4,X5),
inference(rename_variables,[],[i_0_523]) ).
cnf(i_0_2016,plain,
vabs(X1,X2,X3) != vapp(X4,X5),
inference(rename_variables,[],[i_0_523]) ).
cnf(i_0_2024,plain,
vvar(X1) != vabs(X2,X3,X4),
inference(rename_variables,[],[i_0_529]) ).
cnf(i_0_2025,plain,
vabs(X1,X2,X3) != vapp(X4,X5),
inference(rename_variables,[],[i_0_523]) ).
cnf(i_0_2081,plain,
vvar(X1) != vapp(X2,X3),
inference(rename_variables,[],[i_0_552]) ).
cnf(i_0_2091,plain,
vvar(X1) != vabs(X2,X3,X4),
inference(rename_variables,[],[i_0_529]) ).
cnf(i_0_2092,plain,
vvar(X1) != vapp(X2,X3),
inference(rename_variables,[],[i_0_552]) ).
cnf(i_0_2116,plain,
vnoExp != vsomeExp(X1),
inference(rename_variables,[],[i_0_565]) ).
cnf(i_0_2137,plain,
vvar(X1) != vabs(X2,X3,X4),
inference(rename_variables,[],[i_0_529]) ).
cnf(i_0_2138,plain,
vvar(X1) != vabs(X2,X3,X4),
inference(rename_variables,[],[i_0_529]) ).
cnf(i_0_2295,plain,
vvar(X1) != vabs(X2,X3,X4),
inference(rename_variables,[],[i_0_529]) ).
cnf(i_0_2296,plain,
vabs(X1,X2,X3) != vapp(X4,X5),
inference(rename_variables,[],[i_0_523]) ).
cnf(i_0_2336,plain,
vabs(X1,X2,X3) != vapp(X4,X5),
inference(rename_variables,[],[i_0_523]) ).
cnf(i_0_2337,plain,
vvar(X1) != vabs(X2,X3,X4),
inference(rename_variables,[],[i_0_529]) ).
cnf(i_0_2464,plain,
vnoExp != vsomeExp(X1),
inference(rename_variables,[],[i_0_565]) ).
cnf(i_0_2466,plain,
vvar(X1) != vabs(X2,X3,X4),
inference(rename_variables,[],[i_0_529]) ).
cnf(i_0_2467,plain,
vabs(X1,X2,X3) != vapp(X4,X5),
inference(rename_variables,[],[i_0_523]) ).
cnf(i_0_2471,plain,
vabs(X1,X2,X3) != vapp(X4,X5),
inference(rename_variables,[],[i_0_523]) ).
cnf(i_0_2499,plain,
vempty != vbind(X1,X2,X3),
inference(rename_variables,[],[i_0_533]) ).
cnf(i_0_2503,plain,
vempty != vbind(X1,X2,X3),
inference(rename_variables,[],[i_0_533]) ).
cnf(i_0_2507,plain,
vempty != vbind(X1,X2,X3),
inference(rename_variables,[],[i_0_533]) ).
cnf(i_0_2511,plain,
vempty != vbind(X1,X2,X3),
inference(rename_variables,[],[i_0_533]) ).
cnf(i_0_2517,plain,
vvar(X1) != vabs(X2,X3,X4),
inference(rename_variables,[],[i_0_529]) ).
cnf(i_0_2541,plain,
vnoExp != vsomeExp(X1),
inference(rename_variables,[],[i_0_565]) ).
cnf(i_0_2542,plain,
vnoExp != vsomeExp(X1),
inference(rename_variables,[],[i_0_565]) ).
cnf(i_0_2589,plain,
vvar(X1) != vabs(X2,X3,X4),
inference(rename_variables,[],[i_0_529]) ).
cnf(i_0_2590,plain,
vvar(X1) != vabs(X2,X3,X4),
inference(rename_variables,[],[i_0_529]) ).
cnf(i_0_2592,plain,
vvar(X1) != vabs(X2,X3,X4),
inference(rename_variables,[],[i_0_529]) ).
cnf(i_0_2593,plain,
vabs(X1,X2,X3) != vapp(X4,X5),
inference(rename_variables,[],[i_0_523]) ).
cnf(i_0_2621,plain,
vnoExp != vsomeExp(X1),
inference(rename_variables,[],[i_0_565]) ).
cnf(i_0_2622,plain,
vvar(X1) != vabs(X2,X3,X4),
inference(rename_variables,[],[i_0_529]) ).
cnf(i_0_2623,plain,
vvar(X1) != vapp(X2,X3),
inference(rename_variables,[],[i_0_552]) ).
cnf(i_0_2640,plain,
vnoExp != vsomeExp(X1),
inference(rename_variables,[],[i_0_565]) ).
cnf(i_0_2641,plain,
vabs(X1,X2,X3) != vapp(X4,X5),
inference(rename_variables,[],[i_0_523]) ).
cnf(i_0_2715,plain,
vvar(X1) != vabs(X2,X3,X4),
inference(rename_variables,[],[i_0_529]) ).
cnf(i_0_2756,plain,
vnoExp != vsomeExp(X1),
inference(rename_variables,[],[i_0_565]) ).
cnf(i_0_2772,plain,
vnoExp != vsomeExp(X1),
inference(rename_variables,[],[i_0_565]) ).
cnf(i_0_2774,plain,
vnoExp != vsomeExp(X1),
inference(rename_variables,[],[i_0_565]) ).
cnf(i_0_2788,plain,
vvar(X1) != vabs(X2,X3,X4),
inference(rename_variables,[],[i_0_529]) ).
cnf(i_0_2789,plain,
vvar(X1) != vabs(X2,X3,X4),
inference(rename_variables,[],[i_0_529]) ).
cnf(i_0_2814,plain,
vnoExp != vsomeExp(X1),
inference(rename_variables,[],[i_0_565]) ).
cnf(i_0_2842,plain,
vvar(X1) != vabs(X2,X3,X4),
inference(rename_variables,[],[i_0_529]) ).
cnf(i_0_2896,plain,
vvar(X1) != vabs(X2,X3,X4),
inference(rename_variables,[],[i_0_529]) ).
cnf(i_0_2904,plain,
vempty != vbind(X1,X2,X3),
inference(rename_variables,[],[i_0_533]) ).
cnf(i_0_2905,plain,
vempty != vbind(X1,X2,X3),
inference(rename_variables,[],[i_0_533]) ).
cnf(i_0_3015,plain,
vabs(X1,X2,X3) != vapp(X4,X5),
inference(rename_variables,[],[i_0_523]) ).
cnf(i_0_3034,plain,
vabs(X1,X2,X3) != vapp(X4,X5),
inference(rename_variables,[],[i_0_523]) ).
cnf(i_0_3072,plain,
vvar(X1) != vabs(X2,X3,X4),
inference(rename_variables,[],[i_0_529]) ).
cnf(i_0_3277,plain,
vvar(X1) != vabs(X2,X3,X4),
inference(rename_variables,[],[i_0_529]) ).
cnf(i_0_3284,plain,
vabs(X1,X2,X3) != vapp(X4,X5),
inference(rename_variables,[],[i_0_523]) ).
cnf(i_0_3555,plain,
vabs(X1,X2,X3) != vapp(X4,X5),
inference(rename_variables,[],[i_0_523]) ).
cnf(i_0_3559,plain,
vabs(X1,X2,X3) != vapp(X4,X5),
inference(rename_variables,[],[i_0_523]) ).
cnf(i_0_3563,plain,
vempty != vbind(X1,X2,X3),
inference(rename_variables,[],[i_0_533]) ).
cnf(i_0_3568,plain,
vvar(X1) != vapp(X2,X3),
inference(rename_variables,[],[i_0_552]) ).
cnf(i_0_3581,plain,
vvar(X1) != vapp(X2,X3),
inference(rename_variables,[],[i_0_552]) ).
cnf(i_0_3582,plain,
vvar(X1) != vabs(X2,X3,X4),
inference(rename_variables,[],[i_0_529]) ).
cnf(i_0_3588,plain,
vabs(X1,X2,X3) != vapp(X4,X5),
inference(rename_variables,[],[i_0_523]) ).
cnf(i_0_3589,plain,
vnoExp != vsomeExp(X1),
inference(rename_variables,[],[i_0_565]) ).
cnf(i_0_3826,plain,
vvar(X1) != vapp(X2,X3),
inference(rename_variables,[],[i_0_552]) ).
cnf(i_0_3877,plain,
vvar(X1) != vapp(X2,X3),
inference(rename_variables,[],[i_0_552]) ).
cnf(i_0_3881,plain,
vvar(X1) != vapp(X2,X3),
inference(rename_variables,[],[i_0_552]) ).
cnf(i_0_3882,plain,
vvar(X1) != vabs(X2,X3,X4),
inference(rename_variables,[],[i_0_529]) ).
cnf(i_0_3885,plain,
vvar(X1) != vapp(X2,X3),
inference(rename_variables,[],[i_0_552]) ).
cnf(i_0_3886,plain,
vvar(X1) != vabs(X2,X3,X4),
inference(rename_variables,[],[i_0_529]) ).
cnf(i_0_782,plain,
epred2_4(vsubst(X1,X2,vvar(X3)),vvar(X3),X2,X1),
inference(scs_inference,[],[i_0_493,i_0_529,i_0_416,i_0_715]) ).
cnf(i_0_785,plain,
epred4_2(vreduce(vabs(X1,X2,X3)),vabs(X1,X2,X3)),
inference(scs_inference,[],[i_0_493,i_0_523,i_0_529,i_0_416,i_0_715,i_0_762]) ).
cnf(i_0_788,plain,
vbind(esk32_0,esk33_0,esk34_0) != esk34_0,
inference(scs_inference,[],[i_0_493,i_0_519,i_0_523,i_0_529,i_0_416,i_0_715,i_0_762,i_0_704]) ).
cnf(i_0_789,plain,
vsomeExp(X1) != vnoExp,
inference(scs_inference,[],[i_0_493,i_0_519,i_0_776,i_0_523,i_0_529,i_0_778,i_0_416,i_0_715,i_0_762,i_0_704,i_0_703]) ).
cnf(i_0_790,plain,
vsomeType(X1) != vnoType,
inference(scs_inference,[],[i_0_493,i_0_519,i_0_777,i_0_776,i_0_523,i_0_529,i_0_778,i_0_779,i_0_416,i_0_715,i_0_762,i_0_704,i_0_703,i_0_712]) ).
cnf(i_0_798,plain,
epred4_2(vreduce(vvar(X1)),vvar(X1)),
inference(scs_inference,[],[i_0_552,i_0_762]) ).
cnf(i_0_821,plain,
epred4_2(vreduce(vabs(X1,X2,X3)),vabs(X1,X2,X3)),
inference(equality_inference,[],[809]) ).
cnf(i_0_833,plain,
epred4_2(vreduce(vvar(X1)),vvar(X1)),
inference(equality_inference,[],[822]) ).
cnf(i_0_844,plain,
~ visFreeVar(esk32_0,vapp(ve1app,ve2app)),
inference(equality_inference,[],[834]) ).
cnf(i_0_845,plain,
~ visFreeVar(esk32_0,vapp(ve1app,ve2app)),
inference(equality_inference,[],[835]) ).
cnf(i_0_846,plain,
~ vtcheck(esk34_0,vapp(ve1app,ve2app),esk35_0),
inference(equality_inference,[],[836]) ).
cnf(i_0_847,plain,
~ vtcheck(esk34_0,vapp(ve1app,ve2app),esk35_0),
inference(equality_inference,[],[837]) ).
cnf(i_0_856,plain,
~ visFreeVar(vgensym(X1),X1),
inference(rename_variables,[],[i_0_770]) ).
cnf(i_0_969,plain,
~ visFreeVar(vgensym(X1),X1),
inference(rename_variables,[],[i_0_770]) ).
cnf(i_0_1000,plain,
~ visFreeVar(vgensym(X1),X1),
inference(rename_variables,[],[i_0_770]) ).
cnf(i_0_3598,plain,
~ visFreeVar(vgensym(X1),X1),
inference(rename_variables,[],[i_0_770]) ).
cnf(i_0_808,plain,
epred2_4(vsubst(X1,X2,vvar(X3)),vvar(X3),X2,X1),
inference(equality_inference,[],[804]) ).
cnf(i_0_848,plain,
X1 = esk1_3(X1,vempty,vlookup(X1,vempty)),
inference(scs_inference,[],[i_0_533,i_0_838]) ).
cnf(i_0_850,plain,
esk1_3(X1,vempty,vlookup(X1,vempty)) = X1,
inference(scs_inference,[],[i_0_533,i_0_838,i_0_568]) ).
cnf(i_0_851,plain,
visValue(esk1_3(vabs(X1,X2,X3),vempty,vlookup(vabs(X1,X2,X3),vempty))),
inference(scs_inference,[],[i_0_533,i_0_838,i_0_568,i_0_530]) ).
cnf(i_0_853,plain,
vvar(X1) != esk1_3(vabs(X2,X3,X4),vempty,vlookup(vabs(X2,X3,X4),vempty)),
inference(scs_inference,[],[i_0_529,i_0_533,i_0_838,i_0_568,i_0_530,i_0_569]) ).
cnf(i_0_854,plain,
esk1_3(vabs(X1,X2,X3),vempty,vlookup(vabs(X1,X2,X3),vempty)) != vapp(X4,X5),
inference(scs_inference,[],[i_0_529,i_0_769,i_0_533,i_0_838,i_0_568,i_0_530,i_0_569,i_0_709]) ).
cnf(i_0_855,plain,
~ visFreeVar(vgensym(esk1_3(vabs(X1,X2,X3),vempty,vlookup(vabs(X1,X2,X3),vempty))),vabs(X1,X2,X3)),
inference(scs_inference,[],[i_0_529,i_0_770,i_0_769,i_0_533,i_0_838,i_0_568,i_0_530,i_0_569,i_0_709,i_0_702]) ).
cnf(i_0_1913,plain,
vsomeExp(X1) != vnoExp,
inference(rename_variables,[],[i_0_789]) ).
cnf(i_0_3567,plain,
epred4_2(vreduce(vvar(X1)),vvar(X1)),
inference(rename_variables,[],[i_0_798]) ).
cnf(i_0_865,plain,
~ visFreeVar(esk1_3(esk32_0,vempty,vlookup(esk32_0,vempty)),vapp(ve1app,ve2app)),
inference(scs_inference,[],[i_0_850,i_0_834]) ).
cnf(i_0_866,plain,
esk1_3(X1,vempty,vlookup(X1,vempty)) = X1,
inference(rename_variables,[],[i_0_850]) ).
cnf(i_0_868,plain,
esk1_3(X1,vempty,vlookup(X1,vempty)) = X1,
inference(rename_variables,[],[i_0_850]) ).
cnf(i_0_870,plain,
esk1_3(X1,vempty,vlookup(X1,vempty)) = X1,
inference(rename_variables,[],[i_0_850]) ).
cnf(i_0_873,plain,
esk1_3(X1,vempty,vlookup(X1,vempty)) = X1,
inference(rename_variables,[],[i_0_850]) ).
cnf(i_0_876,plain,
X1 = esk1_3(X1,vempty,vlookup(X1,vempty)),
inference(rename_variables,[],[i_0_848]) ).
cnf(i_0_879,plain,
esk1_3(X1,vempty,vlookup(X1,vempty)) = X1,
inference(rename_variables,[],[i_0_850]) ).
cnf(i_0_882,plain,
esk1_3(X1,vempty,vlookup(X1,vempty)) = X1,
inference(rename_variables,[],[i_0_850]) ).
cnf(i_0_885,plain,
esk1_3(X1,vempty,vlookup(X1,vempty)) = X1,
inference(rename_variables,[],[i_0_850]) ).
cnf(i_0_888,plain,
esk1_3(X1,vempty,vlookup(X1,vempty)) = X1,
inference(rename_variables,[],[i_0_850]) ).
cnf(i_0_891,plain,
X1 = esk1_3(X1,vempty,vlookup(X1,vempty)),
inference(rename_variables,[],[i_0_848]) ).
cnf(i_0_894,plain,
esk1_3(X1,vempty,vlookup(X1,vempty)) = X1,
inference(rename_variables,[],[i_0_850]) ).
cnf(i_0_897,plain,
X1 = esk1_3(X1,vempty,vlookup(X1,vempty)),
inference(rename_variables,[],[i_0_848]) ).
cnf(i_0_901,plain,
esk1_3(X1,vempty,vlookup(X1,vempty)) = X1,
inference(rename_variables,[],[i_0_850]) ).
cnf(i_0_903,plain,
esk1_3(X1,vempty,vlookup(X1,vempty)) = X1,
inference(rename_variables,[],[i_0_850]) ).
cnf(i_0_905,plain,
esk1_3(X1,vempty,vlookup(X1,vempty)) = X1,
inference(rename_variables,[],[i_0_850]) ).
cnf(i_0_909,plain,
esk1_3(X1,vempty,vlookup(X1,vempty)) = X1,
inference(rename_variables,[],[i_0_850]) ).
cnf(i_0_911,plain,
esk1_3(X1,vempty,vlookup(X1,vempty)) = X1,
inference(rename_variables,[],[i_0_850]) ).
cnf(i_0_912,plain,
X1 = esk1_3(X1,vempty,vlookup(X1,vempty)),
inference(rename_variables,[],[i_0_848]) ).
cnf(i_0_915,plain,
esk1_3(X1,vempty,vlookup(X1,vempty)) = X1,
inference(rename_variables,[],[i_0_850]) ).
cnf(i_0_918,plain,
esk1_3(X1,vempty,vlookup(X1,vempty)) = X1,
inference(rename_variables,[],[i_0_850]) ).
cnf(i_0_919,plain,
X1 = esk1_3(X1,vempty,vlookup(X1,vempty)),
inference(rename_variables,[],[i_0_848]) ).
cnf(i_0_922,plain,
esk1_3(X1,vempty,vlookup(X1,vempty)) = X1,
inference(rename_variables,[],[i_0_850]) ).
cnf(i_0_923,plain,
X1 = esk1_3(X1,vempty,vlookup(X1,vempty)),
inference(rename_variables,[],[i_0_848]) ).
cnf(i_0_927,plain,
esk1_3(X1,vempty,vlookup(X1,vempty)) = X1,
inference(rename_variables,[],[i_0_850]) ).
cnf(i_0_930,plain,
esk1_3(X1,vempty,vlookup(X1,vempty)) = X1,
inference(rename_variables,[],[i_0_850]) ).
cnf(i_0_933,plain,
esk1_3(X1,vempty,vlookup(X1,vempty)) = X1,
inference(rename_variables,[],[i_0_850]) ).
cnf(i_0_939,plain,
X1 = esk1_3(X1,vempty,vlookup(X1,vempty)),
inference(rename_variables,[],[i_0_848]) ).
cnf(i_0_940,plain,
X1 = esk1_3(X1,vempty,vlookup(X1,vempty)),
inference(rename_variables,[],[i_0_848]) ).
cnf(i_0_941,plain,
X1 = esk1_3(X1,vempty,vlookup(X1,vempty)),
inference(rename_variables,[],[i_0_848]) ).
cnf(i_0_957,plain,
X1 = esk1_3(X1,vempty,vlookup(X1,vempty)),
inference(rename_variables,[],[i_0_848]) ).
cnf(i_0_989,plain,
esk1_3(X1,vempty,vlookup(X1,vempty)) = X1,
inference(rename_variables,[],[i_0_850]) ).
cnf(i_0_992,plain,
esk1_3(X1,vempty,vlookup(X1,vempty)) = X1,
inference(rename_variables,[],[i_0_850]) ).
cnf(i_0_994,plain,
esk1_3(X1,vempty,vlookup(X1,vempty)) = X1,
inference(rename_variables,[],[i_0_850]) ).
cnf(i_0_996,plain,
esk1_3(X1,vempty,vlookup(X1,vempty)) = X1,
inference(rename_variables,[],[i_0_850]) ).
cnf(i_0_1002,plain,
X1 = esk1_3(X1,vempty,vlookup(X1,vempty)),
inference(rename_variables,[],[i_0_848]) ).
cnf(i_0_1023,plain,
X1 = esk1_3(X1,vempty,vlookup(X1,vempty)),
inference(rename_variables,[],[i_0_848]) ).
cnf(i_0_1027,plain,
X1 = esk1_3(X1,vempty,vlookup(X1,vempty)),
inference(rename_variables,[],[i_0_848]) ).
cnf(i_0_1030,plain,
X1 = esk1_3(X1,vempty,vlookup(X1,vempty)),
inference(rename_variables,[],[i_0_848]) ).
cnf(i_0_1033,plain,
X1 = esk1_3(X1,vempty,vlookup(X1,vempty)),
inference(rename_variables,[],[i_0_848]) ).
cnf(i_0_1040,plain,
esk1_3(X1,vempty,vlookup(X1,vempty)) = X1,
inference(rename_variables,[],[i_0_850]) ).
cnf(i_0_1042,plain,
esk1_3(X1,vempty,vlookup(X1,vempty)) = X1,
inference(rename_variables,[],[i_0_850]) ).
cnf(i_0_1044,plain,
X1 = esk1_3(X1,vempty,vlookup(X1,vempty)),
inference(rename_variables,[],[i_0_848]) ).
cnf(i_0_1046,plain,
esk1_3(X1,vempty,vlookup(X1,vempty)) = X1,
inference(rename_variables,[],[i_0_850]) ).
cnf(i_0_1048,plain,
esk1_3(X1,vempty,vlookup(X1,vempty)) = X1,
inference(rename_variables,[],[i_0_850]) ).
cnf(i_0_1050,plain,
esk1_3(X1,vempty,vlookup(X1,vempty)) = X1,
inference(rename_variables,[],[i_0_850]) ).
cnf(i_0_1052,plain,
esk1_3(X1,vempty,vlookup(X1,vempty)) = X1,
inference(rename_variables,[],[i_0_850]) ).
cnf(i_0_1062,plain,
esk1_3(X1,vempty,vlookup(X1,vempty)) = X1,
inference(rename_variables,[],[i_0_850]) ).
cnf(i_0_1064,plain,
esk1_3(X1,vempty,vlookup(X1,vempty)) = X1,
inference(rename_variables,[],[i_0_850]) ).
cnf(i_0_1068,plain,
esk1_3(X1,vempty,vlookup(X1,vempty)) = X1,
inference(rename_variables,[],[i_0_850]) ).
cnf(i_0_1084,plain,
X1 = esk1_3(X1,vempty,vlookup(X1,vempty)),
inference(rename_variables,[],[i_0_848]) ).
cnf(i_0_1087,plain,
esk1_3(X1,vempty,vlookup(X1,vempty)) = X1,
inference(rename_variables,[],[i_0_850]) ).
cnf(i_0_1091,plain,
esk1_3(X1,vempty,vlookup(X1,vempty)) = X1,
inference(rename_variables,[],[i_0_850]) ).
cnf(i_0_1096,plain,
X1 = esk1_3(X1,vempty,vlookup(X1,vempty)),
inference(rename_variables,[],[i_0_848]) ).
cnf(i_0_1116,plain,
X1 = esk1_3(X1,vempty,vlookup(X1,vempty)),
inference(rename_variables,[],[i_0_848]) ).
cnf(i_0_1118,plain,
esk1_3(X1,vempty,vlookup(X1,vempty)) = X1,
inference(rename_variables,[],[i_0_850]) ).
cnf(i_0_1119,plain,
esk1_3(X1,vempty,vlookup(X1,vempty)) = X1,
inference(rename_variables,[],[i_0_850]) ).
cnf(i_0_1122,plain,
esk1_3(X1,vempty,vlookup(X1,vempty)) = X1,
inference(rename_variables,[],[i_0_850]) ).
cnf(i_0_1123,plain,
esk1_3(X1,vempty,vlookup(X1,vempty)) = X1,
inference(rename_variables,[],[i_0_850]) ).
cnf(i_0_1126,plain,
esk1_3(X1,vempty,vlookup(X1,vempty)) = X1,
inference(rename_variables,[],[i_0_850]) ).
cnf(i_0_1127,plain,
esk1_3(X1,vempty,vlookup(X1,vempty)) = X1,
inference(rename_variables,[],[i_0_850]) ).
cnf(i_0_1131,plain,
esk1_3(X1,vempty,vlookup(X1,vempty)) = X1,
inference(rename_variables,[],[i_0_850]) ).
cnf(i_0_1132,plain,
esk1_3(X1,vempty,vlookup(X1,vempty)) = X1,
inference(rename_variables,[],[i_0_850]) ).
cnf(i_0_1137,plain,
X1 = esk1_3(X1,vempty,vlookup(X1,vempty)),
inference(rename_variables,[],[i_0_848]) ).
cnf(i_0_1141,plain,
X1 = esk1_3(X1,vempty,vlookup(X1,vempty)),
inference(rename_variables,[],[i_0_848]) ).
cnf(i_0_1148,plain,
esk1_3(X1,vempty,vlookup(X1,vempty)) = X1,
inference(rename_variables,[],[i_0_850]) ).
cnf(i_0_1163,plain,
X1 = esk1_3(X1,vempty,vlookup(X1,vempty)),
inference(rename_variables,[],[i_0_848]) ).
cnf(i_0_1165,plain,
X1 = esk1_3(X1,vempty,vlookup(X1,vempty)),
inference(rename_variables,[],[i_0_848]) ).
cnf(c_0_568,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_356 ).
cnf(c_0_569,negated_conjecture,
vtcheck(vbind(esk32_0,esk33_0,esk34_0),vapp(ve1app,ve2app),esk35_0),
i_0_493 ).
cnf(c_0_570,plain,
vabs(X1,X2,X3) != vapp(X4,X5),
i_0_523 ).
cnf(c_0_571,plain,
vvar(X1) != vapp(X2,X3),
i_0_552 ).
cnf(c_0_572,plain,
( X1 = X2
| vapp(X1,X3) != vapp(X2,X4) ),
i_0_545 ).
cnf(c_0_573,negated_conjecture,
vapp(esk29_3(vapp(ve1app,ve2app),esk35_0,vbind(esk32_0,esk33_0,esk34_0)),esk30_3(vapp(ve1app,ve2app),esk35_0,vbind(esk32_0,esk33_0,esk34_0))) = vapp(ve1app,ve2app),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_568,c_0_569]),c_0_570]),c_0_571]) ).
cnf(c_0_574,plain,
( esk29_3(vapp(ve1app,ve2app),esk35_0,vbind(esk32_0,esk33_0,esk34_0)) = X1
| vapp(ve1app,ve2app) != vapp(X1,X2) ),
inference(spm,[status(thm)],[c_0_572,c_0_573]) ).
cnf(c_0_575,plain,
esk29_3(vapp(ve1app,ve2app),esk35_0,vbind(esk32_0,esk33_0,esk34_0)) = ve1app,
inference(er,[status(thm)],[c_0_574]) ).
cnf(c_0_576,plain,
( visFreeVar(X1,X2)
| ~ visFreeVar(X3,X4)
| X1 != X3
| X2 != vapp(X4,X5) ),
i_0_540 ).
cnf(c_0_577,plain,
( X1 = X2
| vapp(X3,X1) != vapp(X4,X2) ),
i_0_546 ).
cnf(c_0_578,negated_conjecture,
vapp(ve1app,esk30_3(vapp(ve1app,ve2app),esk35_0,vbind(esk32_0,esk33_0,esk34_0))) = vapp(ve1app,ve2app),
inference(rw,[status(thm)],[c_0_573,c_0_575]) ).
cnf(c_0_579,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_335 ).
cnf(c_0_580,negated_conjecture,
~ visFreeVar(esk32_0,vapp(ve1app,ve2app)),
i_0_542 ).
cnf(c_0_581,plain,
( visFreeVar(X1,vapp(X2,X3))
| ~ visFreeVar(X1,X2) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_576])]) ).
cnf(c_0_582,plain,
( esk30_3(vapp(ve1app,ve2app),esk35_0,vbind(esk32_0,esk33_0,esk34_0)) = X1
| vapp(ve1app,ve2app) != vapp(X2,X1) ),
inference(spm,[status(thm)],[c_0_577,c_0_578]) ).
cnf(c_0_583,plain,
( visFreeVar(X1,X2)
| ~ visFreeVar(X3,X4)
| X1 != X3
| X2 != vapp(X5,X4) ),
i_0_541 ).
cnf(c_0_584,plain,
( visFreeVar(X1,ve1app)
| vtcheck(X2,ve1app,X3)
| ~ vtcheck(vbind(X1,X4,X2),ve1app,X3) ),
i_0_447 ).
cnf(c_0_585,negated_conjecture,
vtcheck(vbind(esk32_0,esk33_0,esk34_0),ve1app,varrow(esk31_3(vapp(ve1app,ve2app),esk35_0,vbind(esk32_0,esk33_0,esk34_0)),esk35_0)),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_579,c_0_569]),c_0_575]),c_0_570]),c_0_571]) ).
cnf(c_0_586,negated_conjecture,
~ visFreeVar(esk32_0,ve1app),
inference(spm,[status(thm)],[c_0_580,c_0_581]) ).
cnf(c_0_587,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_351 ).
cnf(c_0_588,plain,
esk30_3(vapp(ve1app,ve2app),esk35_0,vbind(esk32_0,esk33_0,esk34_0)) = ve2app,
inference(er,[status(thm)],[c_0_582]) ).
cnf(c_0_589,plain,
( visFreeVar(X1,vapp(X2,X3))
| ~ visFreeVar(X1,X3) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_583])]) ).
cnf(c_0_590,plain,
( vtcheck(X1,vapp(X2,X3),X4)
| ~ vtcheck(X1,X2,varrow(X5,X4))
| ~ vtcheck(X1,X3,X5) ),
i_0_455 ).
cnf(c_0_591,plain,
vtcheck(esk34_0,ve1app,varrow(esk31_3(vapp(ve1app,ve2app),esk35_0,vbind(esk32_0,esk33_0,esk34_0)),esk35_0)),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_584,c_0_585]),c_0_586]) ).
cnf(c_0_592,plain,
( visFreeVar(X1,ve2app)
| vtcheck(X2,ve2app,X3)
| ~ vtcheck(vbind(X1,X4,X2),ve2app,X3) ),
i_0_446 ).
cnf(c_0_593,negated_conjecture,
vtcheck(vbind(esk32_0,esk33_0,esk34_0),ve2app,esk31_3(vapp(ve1app,ve2app),esk35_0,vbind(esk32_0,esk33_0,esk34_0))),
inference(rw,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_587,c_0_569]),c_0_570]),c_0_571]),c_0_588]) ).
cnf(c_0_594,negated_conjecture,
~ visFreeVar(esk32_0,ve2app),
inference(spm,[status(thm)],[c_0_580,c_0_589]) ).
cnf(c_0_595,plain,
( vtcheck(esk34_0,vapp(ve1app,X1),esk35_0)
| ~ vtcheck(esk34_0,X1,esk31_3(vapp(ve1app,ve2app),esk35_0,vbind(esk32_0,esk33_0,esk34_0))) ),
inference(spm,[status(thm)],[c_0_590,c_0_591]) ).
cnf(c_0_596,plain,
vtcheck(esk34_0,ve2app,esk31_3(vapp(ve1app,ve2app),esk35_0,vbind(esk32_0,esk33_0,esk34_0))),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_592,c_0_593]),c_0_594]) ).
cnf(c_0_597,negated_conjecture,
~ vtcheck(esk34_0,vapp(ve1app,ve2app),esk35_0),
i_0_519 ).
cnf(c_0_598,plain,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_595,c_0_596]),c_0_597]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13 % Problem : COM137+1 : TPTP v9.2.1. Released v6.4.0.
% 0.11/0.13 % 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
% 0.15/0.34 % Computer : n001.cluster.edu
% 0.15/0.34 % Model : x86_64 x86_64
% 0.15/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.34 % Memory : 8042.1875MB
% 0.15/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.34 % CPULimit : 300
% 0.15/0.34 % WCLimit : 300
% 0.15/0.34 % DateTime : Mon May 4 16:22:48 EDT 2026
% 0.15/0.34 % CPUTime :
% 0.15/0.35 % start to proof: theBenchmark
% 137.68/93.98 % Version : CSE_E---1.7
% 137.68/93.98 % Problem : theBenchmark.p
% 137.68/93.98 % SZS status Theorem for theBenchmark.p
% 137.68/93.98 % SZS output start CNFRefutation
% See solution above
% 153.18/109.45 % Total time : 92.885s
%------------------------------------------------------------------------------