%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : COM126+1 : TPTP v9.2.1. Released v6.4.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d
% Computer : n010.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue May 5 04:13:17 PM UTC 2026
% Result : Theorem 206.50s 137.18s
% Output : CNFRefutation 225.79s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named c_0_58)
% Comments :
%------------------------------------------------------------------------------
fof('subst-INV',axiom,
! [X1,X4,X6,X19] :
( vsubst(X1,X4,X6) = X19
=> ( ? [X9,X21,X11] :
( X1 = X9
& X4 = X11
& X6 = vvar(X21)
& X9 = X21
& X19 = X11 )
| ? [X11,X9,X21] :
( X1 = X9
& X4 = X11
& X6 = vvar(X21)
& X9 != X21
& X19 = vvar(X21) )
| ? [X12,X9,X11,X13] :
( X1 = X9
& X4 = X11
& X6 = vapp(X12,X13)
& X19 = vapp(vsubst(X9,X11,X12),vsubst(X9,X11,X13)) )
| ? [X11,X9,X21,X15,X12] :
( X1 = X9
& X4 = X11
& X6 = vabs(X21,X15,X12)
& X9 = X21
& X19 = vabs(X21,X15,X12) )
| ? [X9,X11,X15,X21,X24,X12] :
( X1 = X9
& X4 = X11
& X6 = vabs(X21,X15,X12)
& X9 != X21
& visFreeVar(X21,X11)
& X24 = vgensym(vapp(vapp(X11,X12),vvar(X9)))
& X19 = vsubst(X9,X11,vabs(X24,X15,vsubst(X21,vvar(X24),X12))) )
| ? [X21,X15,X9,X11,X12] :
( X1 = X9
& X4 = X11
& X6 = vabs(X21,X15,X12)
& X9 != X21
& ~ visFreeVar(X21,X11)
& X19 = vabs(X21,X15,vsubst(X9,X11,X12)) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/COM001+0.ax','subst-INV') ).
fof(reduce6,axiom,
! [X13,X12,X27,X4,X19] :
( ( X4 = vapp(X12,X13)
& ! [X28,X29,X30] : X12 != vabs(X28,X29,X30) )
=> ( ( X27 = vreduce(X12)
& ~ visSomeExp(X27) )
=> ( X19 = vreduce(X4)
=> X19 = vnoExp ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/COM001+0.ax',reduce6) ).
fof(subst5,axiom,
! [X1,X4,X6,X19,X21,X15,X9,X11,X12] :
( ( X1 = X9
& X4 = X11
& X6 = vabs(X21,X15,X12) )
=> ( ( X9 != X21
& ~ visFreeVar(X21,X11) )
=> ( X19 = vsubst(X1,X4,X6)
=> X19 = vabs(X21,X15,vsubst(X9,X11,X12)) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/COM001+0.ax',subst5) ).
fof(reduce3,axiom,
! [X10,X26,X4,X19,X9,X13,X12] :
( X4 = vapp(vabs(X9,X10,X12),X13)
=> ( ( X26 = vreduce(X13)
& ~ visSomeExp(X26)
& visValue(X13) )
=> ( X19 = vreduce(X4)
=> X19 = vsomeExp(vsubst(X9,X13,X12)) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/COM001+0.ax',reduce3) ).
fof('T-Strong',axiom,
! [X9,X10,X20,X11,X15] :
( ( ~ visFreeVar(X9,X11)
& vtcheck(vbind(X9,X10,X20),X11,X15) )
=> vtcheck(X20,X11,X15) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','T-Strong') ).
fof('T-Weak-FreeVar-app',conjecture,
! [X9,X10,X20,X15] :
( ( ~ visFreeVar(X9,vapp(ve1app,ve2app))
& vtcheck(X20,vapp(ve1app,ve2app),X15) )
=> vtcheck(vbind(X9,X10,X20),vapp(ve1app,ve2app),X15) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','T-Weak-FreeVar-app') ).
fof('T-Weak-FreeVar-app-IH2',axiom,
! [X9,X10,X20,X15] :
( ( ~ visFreeVar(X9,ve2app)
& vtcheck(X20,ve2app,X15) )
=> vtcheck(vbind(X9,X10,X20),ve2app,X15) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','T-Weak-FreeVar-app-IH2') ).
fof('T-Weak-FreeVar-app-IH1',axiom,
! [X9,X10,X20,X15] :
( ( ~ visFreeVar(X9,ve1app)
& vtcheck(X20,ve1app,X15) )
=> vtcheck(vbind(X9,X10,X20),ve1app,X15) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','T-Weak-FreeVar-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/sandbox2/benchmark/Axioms/COM001+0.ax',reduce4) ).
fof('reduce-INV',axiom,
! [X4,X19] :
( vreduce(X4) = X19
=> ( ? [X9] :
( X4 = vvar(X9)
& X19 = vnoExp )
| ? [X9,X10,X11] :
( X4 = vabs(X9,X10,X11)
& X19 = vnoExp )
| ? [X13,X9,X10,X12,X26] :
( X4 = vapp(vabs(X9,X10,X12),X13)
& X26 = vreduce(X13)
& visSomeExp(X26)
& X19 = vsomeExp(vapp(vabs(X9,X10,X12),vgetSomeExp(X26))) )
| ? [X10,X26,X9,X13,X12] :
( X4 = vapp(vabs(X9,X10,X12),X13)
& X26 = vreduce(X13)
& ~ visSomeExp(X26)
& visValue(X13)
& X19 = vsomeExp(vsubst(X9,X13,X12)) )
| ? [X9,X10,X12,X26,X13] :
( X4 = vapp(vabs(X9,X10,X12),X13)
& X26 = vreduce(X13)
& ~ visSomeExp(X26)
& ~ visValue(X13)
& X19 = vnoExp )
| ? [X12,X27,X13] :
( X4 = vapp(X12,X13)
& ! [X28,X29,X30] : X12 != vabs(X28,X29,X30)
& X27 = vreduce(X12)
& visSomeExp(X27)
& X19 = vsomeExp(vapp(vgetSomeExp(X27),X13)) )
| ? [X13,X12,X27] :
( X4 = vapp(X12,X13)
& ! [X28,X29,X30] : X12 != vabs(X28,X29,X30)
& X27 = vreduce(X12)
& ~ visSomeExp(X27)
& X19 = vnoExp ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/COM001+0.ax','reduce-INV') ).
fof(isValue2,axiom,
! [X12,X13,X4] :
( X4 = vapp(X12,X13)
=> ~ visValue(X4) ),
file('/export/starexec/sandbox2/benchmark/Axioms/COM001+0.ax',isValue2) ).
fof('gensym-is-fresh',axiom,
! [X14,X11] :
( vgensym(X11) = X14
=> ~ visFreeVar(X14,X11) ),
file('/export/starexec/sandbox2/benchmark/Axioms/COM001+0.ax','gensym-is-fresh') ).
fof(isValue1,axiom,
! [X9,X4] :
( X4 = vvar(X9)
=> ~ visValue(X4) ),
file('/export/starexec/sandbox2/benchmark/Axioms/COM001+0.ax',isValue1) ).
fof(isSomeExp0,axiom,
! [X25] :
( X25 = vnoExp
=> ~ visSomeExp(X25) ),
file('/export/starexec/sandbox2/benchmark/Axioms/COM001+0.ax',isSomeExp0) ).
fof(isSomeType0,axiom,
! [X18] :
( X18 = vnoType
=> ~ visSomeType(X18) ),
file('/export/starexec/sandbox2/benchmark/Axioms/COM001+0.ax',isSomeType0) ).
fof(reduce5,axiom,
! [X12,X4,X19,X27,X13] :
( ( X4 = vapp(X12,X13)
& ! [X28,X29,X30] : X12 != vabs(X28,X29,X30) )
=> ( ( X27 = vreduce(X12)
& visSomeExp(X27) )
=> ( X19 = vreduce(X4)
=> X19 = vsomeExp(vapp(vgetSomeExp(X27),X13)) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/COM001+0.ax',reduce5) ).
fof('T-inv',axiom,
! [X11,X15,X20] :
( vtcheck(X20,X11,X15)
=> ( ? [X9] :
( X11 = vvar(X9)
& vlookup(X9,X20) = vsomeType(X15) )
| ? [X9,X13,X33,X34] :
( X11 = vabs(X9,X33,X13)
& X15 = varrow(X33,X34)
& vtcheck(vbind(X9,X33,X20),X13,X34) )
| ? [X12,X13,X10] :
( X11 = vapp(X12,X13)
& vtcheck(X20,X12,varrow(X10,X15))
& vtcheck(X20,X13,X10) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/COM001+0.ax','T-inv') ).
fof('T-Context-Swap',axiom,
! [X21,X22,X9,X23,X20,X11,X15] :
( ( X9 != X21
& vtcheck(vbind(X9,X23,vbind(X21,X22,X20)),X11,X15) )
=> vtcheck(vbind(X21,X22,vbind(X9,X23,X20)),X11,X15) ),
file('/export/starexec/sandbox2/benchmark/Axioms/COM001+0.ax','T-Context-Swap') ).
fof('lookup-INV',axiom,
! [X1,X16,X19] :
( vlookup(X1,X16) = X19
=> ( ? [X9] :
( X1 = X9
& X16 = vempty
& X19 = vnoType )
| ? [X20,X9,X21,X22] :
( X1 = X9
& X16 = vbind(X21,X22,X20)
& X9 = X21
& X19 = vsomeType(X22) )
| ? [X22,X21,X9,X20] :
( X1 = X9
& X16 = vbind(X21,X22,X20)
& X9 != X21
& X19 = vlookup(X9,X20) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/COM001+0.ax','lookup-INV') ).
fof(subst4,axiom,
! [X1,X4,X6,X19,X9,X11,X15,X21,X24,X12] :
( ( X1 = X9
& X4 = X11
& X6 = vabs(X21,X15,X12) )
=> ( ( X9 != X21
& visFreeVar(X21,X11)
& X24 = vgensym(vapp(vapp(X11,X12),vvar(X9))) )
=> ( X19 = vsubst(X1,X4,X6)
=> X19 = vsubst(X9,X11,vabs(X24,X15,vsubst(X21,vvar(X24),X12))) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/COM001+0.ax',subst4) ).
fof('T-Context-Duplicate',axiom,
! [X21,X22,X9,X23,X20,X11,X15] :
( ( X9 = X21
& vtcheck(vbind(X9,X23,vbind(X21,X22,X20)),X11,X15) )
=> vtcheck(vbind(X9,X23,X20),X11,X15) ),
file('/export/starexec/sandbox2/benchmark/Axioms/COM001+0.ax','T-Context-Duplicate') ).
fof(reduce2,axiom,
! [X13,X4,X19,X9,X10,X12,X26] :
( X4 = vapp(vabs(X9,X10,X12),X13)
=> ( ( X26 = vreduce(X13)
& visSomeExp(X26) )
=> ( X19 = vreduce(X4)
=> X19 = vsomeExp(vapp(vabs(X9,X10,X12),vgetSomeExp(X26))) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/COM001+0.ax',reduce2) ).
fof('T-abs',axiom,
! [X20,X9,X11,X10,X15] :
( vtcheck(vbind(X9,X10,X20),X11,X15)
=> vtcheck(X20,vabs(X9,X10,X11),varrow(X10,X15)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/COM001+0.ax','T-abs') ).
fof(subst2,axiom,
! [X1,X4,X6,X19,X12,X9,X11,X13] :
( ( X1 = X9
& X4 = X11
& X6 = vapp(X12,X13) )
=> ( X19 = vsubst(X1,X4,X6)
=> X19 = vapp(vsubst(X9,X11,X12),vsubst(X9,X11,X13)) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/COM001+0.ax',subst2) ).
fof('T-app',axiom,
! [X10,X20,X12,X13,X15] :
( ( vtcheck(X20,X12,varrow(X10,X15))
& vtcheck(X20,X13,X10) )
=> vtcheck(X20,vapp(X12,X13),X15) ),
file('/export/starexec/sandbox2/benchmark/Axioms/COM001+0.ax','T-app') ).
fof('T-Weak',axiom,
! [X9,X10,X20,X11,X15] :
( ( vlookup(X9,X20) = vnoType
& vtcheck(X20,X11,X15) )
=> vtcheck(vbind(X9,X10,X20),X11,X15) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','T-Weak') ).
fof(subst3,axiom,
! [X11,X9,X1,X4,X6,X19,X21,X15,X12] :
( ( X1 = X9
& X4 = X11
& X6 = vabs(X21,X15,X12) )
=> ( X9 = X21
=> ( X19 = vsubst(X1,X4,X6)
=> X19 = vabs(X21,X15,X12) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/COM001+0.ax',subst3) ).
fof('EQ-bind',axiom,
! [X1,X3,X16,X2,X5,X17] :
( ( vbind(X1,X3,X16) = vbind(X2,X5,X17)
=> ( X1 = X2
& X3 = X5
& X16 = X17 ) )
& ( ( X1 = X2
& X3 = X5
& X16 = X17 )
=> vbind(X1,X3,X16) = vbind(X2,X5,X17) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/COM001+0.ax','EQ-bind') ).
fof('EQ-abs',axiom,
! [X1,X3,X4,X2,X5,X6] :
( ( vabs(X1,X3,X4) = vabs(X2,X5,X6)
=> ( X1 = X2
& X3 = X5
& X4 = X6 ) )
& ( ( X1 = X2
& X3 = X5
& X4 = X6 )
=> vabs(X1,X3,X4) = vabs(X2,X5,X6) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/COM001+0.ax','EQ-abs') ).
fof(lookup2,axiom,
! [X22,X21,X1,X16,X19,X9,X20] :
( ( X1 = X9
& X16 = vbind(X21,X22,X20) )
=> ( X9 != X21
=> ( X19 = vlookup(X1,X16)
=> X19 = vlookup(X9,X20) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/COM001+0.ax',lookup2) ).
fof(isFreeVar1,axiom,
! [X15,X1,X4,X9,X14,X11] :
( ( X1 = X14
& X4 = vabs(X9,X15,X11) )
=> ( ( ( X9 != X14
& visFreeVar(X14,X11) )
=> visFreeVar(X1,X4) )
& ( visFreeVar(X1,X4)
=> ( X9 != X14
& visFreeVar(X14,X11) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/COM001+0.ax',isFreeVar1) ).
fof(lookup1,axiom,
! [X20,X9,X21,X1,X16,X19,X22] :
( ( X1 = X9
& X16 = vbind(X21,X22,X20) )
=> ( X9 = X21
=> ( X19 = vlookup(X1,X16)
=> X19 = vsomeType(X22) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/COM001+0.ax',lookup1) ).
fof(subst1,axiom,
! [X11,X9,X1,X4,X6,X19,X21] :
( ( X1 = X9
& X4 = X11
& X6 = vvar(X21) )
=> ( X9 != X21
=> ( X19 = vsubst(X1,X4,X6)
=> X19 = vvar(X21) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/COM001+0.ax',subst1) ).
fof(subst0,axiom,
! [X9,X21,X1,X4,X6,X19,X11] :
( ( X1 = X9
& X4 = X11
& X6 = vvar(X21) )
=> ( X9 = X21
=> ( X19 = vsubst(X1,X4,X6)
=> X19 = X11 ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/COM001+0.ax',subst0) ).
fof('DIFF-abs-app',axiom,
! [X1,X3,X4,X6,X7] : vabs(X1,X3,X4) != vapp(X6,X7),
file('/export/starexec/sandbox2/benchmark/Axioms/COM001+0.ax','DIFF-abs-app') ).
fof(reduce1,axiom,
! [X9,X10,X11,X4,X19] :
( X4 = vabs(X9,X10,X11)
=> ( X19 = vreduce(X4)
=> X19 = vnoExp ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/COM001+0.ax',reduce1) ).
fof('DIFF-var-abs',axiom,
! [X1,X2,X3,X4] : vvar(X1) != vabs(X2,X3,X4),
file('/export/starexec/sandbox2/benchmark/Axioms/COM001+0.ax','DIFF-var-abs') ).
fof(isValue0,axiom,
! [X9,X10,X11,X4] :
( X4 = vabs(X9,X10,X11)
=> visValue(X4) ),
file('/export/starexec/sandbox2/benchmark/Axioms/COM001+0.ax',isValue0) ).
fof('T-var',axiom,
! [X20,X9,X15] :
( vlookup(X9,X20) = vsomeType(X15)
=> vtcheck(X20,vvar(X9),X15) ),
file('/export/starexec/sandbox2/benchmark/Axioms/COM001+0.ax','T-var') ).
fof('DIFF-empty-bind',axiom,
! [X1,X3,X16] : vempty != vbind(X1,X3,X16),
file('/export/starexec/sandbox2/benchmark/Axioms/COM001+0.ax','DIFF-empty-bind') ).
fof(isFreeVar2,axiom,
! [X1,X4,X12,X14,X13] :
( ( X1 = X14
& X4 = vapp(X12,X13) )
=> ( ( ( visFreeVar(X14,X12)
| visFreeVar(X14,X13) )
=> visFreeVar(X1,X4) )
& ( visFreeVar(X1,X4)
=> ( visFreeVar(X14,X12)
| visFreeVar(X14,X13) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/COM001+0.ax',isFreeVar2) ).
fof('EQ-arrow',axiom,
! [X3,X5,X31,X32] :
( ( varrow(X3,X5) = varrow(X31,X32)
=> ( X3 = X31
& X5 = X32 ) )
& ( ( X3 = X31
& X5 = X32 )
=> varrow(X3,X5) = varrow(X31,X32) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/COM001+0.ax','EQ-arrow') ).
fof('EQ-app',axiom,
! [X4,X6,X7,X8] :
( ( vapp(X4,X6) = vapp(X7,X8)
=> ( X4 = X7
& X6 = X8 ) )
& ( ( X4 = X7
& X6 = X8 )
=> vapp(X4,X6) = vapp(X7,X8) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/COM001+0.ax','EQ-app') ).
fof(isFreeVar0,axiom,
! [X1,X4,X9,X14] :
( ( X1 = X14
& X4 = vvar(X9) )
=> ( ( X9 = X14
=> visFreeVar(X1,X4) )
& ( visFreeVar(X1,X4)
=> X9 = X14 ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/COM001+0.ax',isFreeVar0) ).
fof(lookup0,axiom,
! [X9,X1,X16,X19] :
( ( X1 = X9
& X16 = vempty )
=> ( X19 = vlookup(X1,X16)
=> X19 = vnoType ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/COM001+0.ax',lookup0) ).
fof('DIFF-var-app',axiom,
! [X1,X4,X6] : vvar(X1) != vapp(X4,X6),
file('/export/starexec/sandbox2/benchmark/Axioms/COM001+0.ax','DIFF-var-app') ).
fof(getSomeExp0,axiom,
! [X25,X19,X11] :
( X25 = vsomeExp(X11)
=> ( X19 = vgetSomeExp(X25)
=> X19 = X11 ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/COM001+0.ax',getSomeExp0) ).
fof(getSomeType0,axiom,
! [X18,X19,X11] :
( X18 = vsomeType(X11)
=> ( X19 = vgetSomeType(X18)
=> X19 = X11 ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/COM001+0.ax',getSomeType0) ).
fof(reduce0,axiom,
! [X9,X4,X19] :
( X4 = vvar(X9)
=> ( X19 = vreduce(X4)
=> X19 = vnoExp ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/COM001+0.ax',reduce0) ).
fof('EQ-someExp',axiom,
! [X4,X6] :
( ( vsomeExp(X4) = vsomeExp(X6)
=> X4 = X6 )
& ( X4 = X6
=> vsomeExp(X4) = vsomeExp(X6) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/COM001+0.ax','EQ-someExp') ).
fof('EQ-someType',axiom,
! [X3,X5] :
( ( vsomeType(X3) = vsomeType(X5)
=> X3 = X5 )
& ( X3 = X5
=> vsomeType(X3) = vsomeType(X5) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/COM001+0.ax','EQ-someType') ).
fof('EQ-var',axiom,
! [X1,X2] :
( ( vvar(X1) = vvar(X2)
=> X1 = X2 )
& ( X1 = X2
=> vvar(X1) = vvar(X2) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/COM001+0.ax','EQ-var') ).
fof(isSomeExp1,axiom,
! [X11,X25] :
( X25 = vsomeExp(X11)
=> visSomeExp(X25) ),
file('/export/starexec/sandbox2/benchmark/Axioms/COM001+0.ax',isSomeExp1) ).
fof(isSomeType1,axiom,
! [X11,X18] :
( X18 = vsomeType(X11)
=> visSomeType(X18) ),
file('/export/starexec/sandbox2/benchmark/Axioms/COM001+0.ax',isSomeType1) ).
fof('DIFF-noExp-someExp',axiom,
! [X4] : vnoExp != vsomeExp(X4),
file('/export/starexec/sandbox2/benchmark/Axioms/COM001+0.ax','DIFF-noExp-someExp') ).
fof('DIFF-noType-someType',axiom,
! [X3] : vnoType != vsomeType(X3),
file('/export/starexec/sandbox2/benchmark/Axioms/COM001+0.ax','DIFF-noType-someType') ).
fof(i_0_56,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_57,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_58,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_59,plain,
! [X4,X19] :
( epred3_2(X19,X4)
=> ( ? [X9] :
( X4 = vvar(X9)
& X19 = vnoExp )
| ? [X9,X10,X11] :
( X4 = vabs(X9,X10,X11)
& X19 = vnoExp )
| ? [X13,X9,X10,X12,X26] :
( X4 = vapp(vabs(X9,X10,X12),X13)
& X26 = vreduce(X13)
& visSomeExp(X26)
& X19 = vsomeExp(vapp(vabs(X9,X10,X12),vgetSomeExp(X26))) )
| ? [X10,X26,X9,X13,X12] :
( X4 = vapp(vabs(X9,X10,X12),X13)
& X26 = vreduce(X13)
& ~ visSomeExp(X26)
& visValue(X13)
& X19 = vsomeExp(vsubst(X9,X13,X12)) ) ) ),
inference(split_equiv,[status(thm)],[i_0_56]) ).
fof(i_0_60,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_61,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_57]),c_0_58]) ).
fof(i_0_62,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_57]) ).
fof(i_0_63,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_58]) ).
fof(i_0_64,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_65,plain,
! [X676,X677] :
( ( X676 = vapp(vabs(esk68_2(X676,X677),esk66_2(X676,X677),esk70_2(X676,X677)),esk69_2(X676,X677))
| X676 = vapp(vabs(esk62_2(X676,X677),esk63_2(X676,X677),esk64_2(X676,X677)),esk61_2(X676,X677))
| X676 = vabs(esk58_2(X676,X677),esk59_2(X676,X677),esk60_2(X676,X677))
| X676 = vvar(esk57_2(X676,X677))
| ~ epred3_2(X677,X676) )
& ( esk67_2(X676,X677) = vreduce(esk69_2(X676,X677))
| X676 = vapp(vabs(esk62_2(X676,X677),esk63_2(X676,X677),esk64_2(X676,X677)),esk61_2(X676,X677))
| X676 = vabs(esk58_2(X676,X677),esk59_2(X676,X677),esk60_2(X676,X677))
| X676 = vvar(esk57_2(X676,X677))
| ~ epred3_2(X677,X676) )
& ( ~ visSomeExp(esk67_2(X676,X677))
| X676 = vapp(vabs(esk62_2(X676,X677),esk63_2(X676,X677),esk64_2(X676,X677)),esk61_2(X676,X677))
| X676 = vabs(esk58_2(X676,X677),esk59_2(X676,X677),esk60_2(X676,X677))
| X676 = vvar(esk57_2(X676,X677))
| ~ epred3_2(X677,X676) )
& ( visValue(esk69_2(X676,X677))
| X676 = vapp(vabs(esk62_2(X676,X677),esk63_2(X676,X677),esk64_2(X676,X677)),esk61_2(X676,X677))
| X676 = vabs(esk58_2(X676,X677),esk59_2(X676,X677),esk60_2(X676,X677))
| X676 = vvar(esk57_2(X676,X677))
| ~ epred3_2(X677,X676) )
& ( X677 = vsomeExp(vsubst(esk68_2(X676,X677),esk69_2(X676,X677),esk70_2(X676,X677)))
| X676 = vapp(vabs(esk62_2(X676,X677),esk63_2(X676,X677),esk64_2(X676,X677)),esk61_2(X676,X677))
| X676 = vabs(esk58_2(X676,X677),esk59_2(X676,X677),esk60_2(X676,X677))
| X676 = vvar(esk57_2(X676,X677))
| ~ epred3_2(X677,X676) )
& ( X676 = vapp(vabs(esk68_2(X676,X677),esk66_2(X676,X677),esk70_2(X676,X677)),esk69_2(X676,X677))
| esk65_2(X676,X677) = vreduce(esk61_2(X676,X677))
| X676 = vabs(esk58_2(X676,X677),esk59_2(X676,X677),esk60_2(X676,X677))
| X676 = vvar(esk57_2(X676,X677))
| ~ epred3_2(X677,X676) )
& ( esk67_2(X676,X677) = vreduce(esk69_2(X676,X677))
| esk65_2(X676,X677) = vreduce(esk61_2(X676,X677))
| X676 = vabs(esk58_2(X676,X677),esk59_2(X676,X677),esk60_2(X676,X677))
| X676 = vvar(esk57_2(X676,X677))
| ~ epred3_2(X677,X676) )
& ( ~ visSomeExp(esk67_2(X676,X677))
| esk65_2(X676,X677) = vreduce(esk61_2(X676,X677))
| X676 = vabs(esk58_2(X676,X677),esk59_2(X676,X677),esk60_2(X676,X677))
| X676 = vvar(esk57_2(X676,X677))
| ~ epred3_2(X677,X676) )
& ( visValue(esk69_2(X676,X677))
| esk65_2(X676,X677) = vreduce(esk61_2(X676,X677))
| X676 = vabs(esk58_2(X676,X677),esk59_2(X676,X677),esk60_2(X676,X677))
| X676 = vvar(esk57_2(X676,X677))
| ~ epred3_2(X677,X676) )
& ( X677 = vsomeExp(vsubst(esk68_2(X676,X677),esk69_2(X676,X677),esk70_2(X676,X677)))
| esk65_2(X676,X677) = vreduce(esk61_2(X676,X677))
| X676 = vabs(esk58_2(X676,X677),esk59_2(X676,X677),esk60_2(X676,X677))
| X676 = vvar(esk57_2(X676,X677))
| ~ epred3_2(X677,X676) )
& ( X676 = vapp(vabs(esk68_2(X676,X677),esk66_2(X676,X677),esk70_2(X676,X677)),esk69_2(X676,X677))
| visSomeExp(esk65_2(X676,X677))
| X676 = vabs(esk58_2(X676,X677),esk59_2(X676,X677),esk60_2(X676,X677))
| X676 = vvar(esk57_2(X676,X677))
| ~ epred3_2(X677,X676) )
& ( esk67_2(X676,X677) = vreduce(esk69_2(X676,X677))
| visSomeExp(esk65_2(X676,X677))
| X676 = vabs(esk58_2(X676,X677),esk59_2(X676,X677),esk60_2(X676,X677))
| X676 = vvar(esk57_2(X676,X677))
| ~ epred3_2(X677,X676) )
& ( ~ visSomeExp(esk67_2(X676,X677))
| visSomeExp(esk65_2(X676,X677))
| X676 = vabs(esk58_2(X676,X677),esk59_2(X676,X677),esk60_2(X676,X677))
| X676 = vvar(esk57_2(X676,X677))
| ~ epred3_2(X677,X676) )
& ( visValue(esk69_2(X676,X677))
| visSomeExp(esk65_2(X676,X677))
| X676 = vabs(esk58_2(X676,X677),esk59_2(X676,X677),esk60_2(X676,X677))
| X676 = vvar(esk57_2(X676,X677))
| ~ epred3_2(X677,X676) )
& ( X677 = vsomeExp(vsubst(esk68_2(X676,X677),esk69_2(X676,X677),esk70_2(X676,X677)))
| visSomeExp(esk65_2(X676,X677))
| X676 = vabs(esk58_2(X676,X677),esk59_2(X676,X677),esk60_2(X676,X677))
| X676 = vvar(esk57_2(X676,X677))
| ~ epred3_2(X677,X676) )
& ( X676 = vapp(vabs(esk68_2(X676,X677),esk66_2(X676,X677),esk70_2(X676,X677)),esk69_2(X676,X677))
| X677 = vsomeExp(vapp(vabs(esk62_2(X676,X677),esk63_2(X676,X677),esk64_2(X676,X677)),vgetSomeExp(esk65_2(X676,X677))))
| X676 = vabs(esk58_2(X676,X677),esk59_2(X676,X677),esk60_2(X676,X677))
| X676 = vvar(esk57_2(X676,X677))
| ~ epred3_2(X677,X676) )
& ( esk67_2(X676,X677) = vreduce(esk69_2(X676,X677))
| X677 = vsomeExp(vapp(vabs(esk62_2(X676,X677),esk63_2(X676,X677),esk64_2(X676,X677)),vgetSomeExp(esk65_2(X676,X677))))
| X676 = vabs(esk58_2(X676,X677),esk59_2(X676,X677),esk60_2(X676,X677))
| X676 = vvar(esk57_2(X676,X677))
| ~ epred3_2(X677,X676) )
& ( ~ visSomeExp(esk67_2(X676,X677))
| X677 = vsomeExp(vapp(vabs(esk62_2(X676,X677),esk63_2(X676,X677),esk64_2(X676,X677)),vgetSomeExp(esk65_2(X676,X677))))
| X676 = vabs(esk58_2(X676,X677),esk59_2(X676,X677),esk60_2(X676,X677))
| X676 = vvar(esk57_2(X676,X677))
| ~ epred3_2(X677,X676) )
& ( visValue(esk69_2(X676,X677))
| X677 = vsomeExp(vapp(vabs(esk62_2(X676,X677),esk63_2(X676,X677),esk64_2(X676,X677)),vgetSomeExp(esk65_2(X676,X677))))
| X676 = vabs(esk58_2(X676,X677),esk59_2(X676,X677),esk60_2(X676,X677))
| X676 = vvar(esk57_2(X676,X677))
| ~ epred3_2(X677,X676) )
& ( X677 = vsomeExp(vsubst(esk68_2(X676,X677),esk69_2(X676,X677),esk70_2(X676,X677)))
| X677 = vsomeExp(vapp(vabs(esk62_2(X676,X677),esk63_2(X676,X677),esk64_2(X676,X677)),vgetSomeExp(esk65_2(X676,X677))))
| X676 = vabs(esk58_2(X676,X677),esk59_2(X676,X677),esk60_2(X676,X677))
| X676 = vvar(esk57_2(X676,X677))
| ~ epred3_2(X677,X676) )
& ( X676 = vapp(vabs(esk68_2(X676,X677),esk66_2(X676,X677),esk70_2(X676,X677)),esk69_2(X676,X677))
| X676 = vapp(vabs(esk62_2(X676,X677),esk63_2(X676,X677),esk64_2(X676,X677)),esk61_2(X676,X677))
| X677 = vnoExp
| X676 = vvar(esk57_2(X676,X677))
| ~ epred3_2(X677,X676) )
& ( esk67_2(X676,X677) = vreduce(esk69_2(X676,X677))
| X676 = vapp(vabs(esk62_2(X676,X677),esk63_2(X676,X677),esk64_2(X676,X677)),esk61_2(X676,X677))
| X677 = vnoExp
| X676 = vvar(esk57_2(X676,X677))
| ~ epred3_2(X677,X676) )
& ( ~ visSomeExp(esk67_2(X676,X677))
| X676 = vapp(vabs(esk62_2(X676,X677),esk63_2(X676,X677),esk64_2(X676,X677)),esk61_2(X676,X677))
| X677 = vnoExp
| X676 = vvar(esk57_2(X676,X677))
| ~ epred3_2(X677,X676) )
& ( visValue(esk69_2(X676,X677))
| X676 = vapp(vabs(esk62_2(X676,X677),esk63_2(X676,X677),esk64_2(X676,X677)),esk61_2(X676,X677))
| X677 = vnoExp
| X676 = vvar(esk57_2(X676,X677))
| ~ epred3_2(X677,X676) )
& ( X677 = vsomeExp(vsubst(esk68_2(X676,X677),esk69_2(X676,X677),esk70_2(X676,X677)))
| X676 = vapp(vabs(esk62_2(X676,X677),esk63_2(X676,X677),esk64_2(X676,X677)),esk61_2(X676,X677))
| X677 = vnoExp
| X676 = vvar(esk57_2(X676,X677))
| ~ epred3_2(X677,X676) )
& ( X676 = vapp(vabs(esk68_2(X676,X677),esk66_2(X676,X677),esk70_2(X676,X677)),esk69_2(X676,X677))
| esk65_2(X676,X677) = vreduce(esk61_2(X676,X677))
| X677 = vnoExp
| X676 = vvar(esk57_2(X676,X677))
| ~ epred3_2(X677,X676) )
& ( esk67_2(X676,X677) = vreduce(esk69_2(X676,X677))
| esk65_2(X676,X677) = vreduce(esk61_2(X676,X677))
| X677 = vnoExp
| X676 = vvar(esk57_2(X676,X677))
| ~ epred3_2(X677,X676) )
& ( ~ visSomeExp(esk67_2(X676,X677))
| esk65_2(X676,X677) = vreduce(esk61_2(X676,X677))
| X677 = vnoExp
| X676 = vvar(esk57_2(X676,X677))
| ~ epred3_2(X677,X676) )
& ( visValue(esk69_2(X676,X677))
| esk65_2(X676,X677) = vreduce(esk61_2(X676,X677))
| X677 = vnoExp
| X676 = vvar(esk57_2(X676,X677))
| ~ epred3_2(X677,X676) )
& ( X677 = vsomeExp(vsubst(esk68_2(X676,X677),esk69_2(X676,X677),esk70_2(X676,X677)))
| esk65_2(X676,X677) = vreduce(esk61_2(X676,X677))
| X677 = vnoExp
| X676 = vvar(esk57_2(X676,X677))
| ~ epred3_2(X677,X676) )
& ( X676 = vapp(vabs(esk68_2(X676,X677),esk66_2(X676,X677),esk70_2(X676,X677)),esk69_2(X676,X677))
| visSomeExp(esk65_2(X676,X677))
| X677 = vnoExp
| X676 = vvar(esk57_2(X676,X677))
| ~ epred3_2(X677,X676) )
& ( esk67_2(X676,X677) = vreduce(esk69_2(X676,X677))
| visSomeExp(esk65_2(X676,X677))
| X677 = vnoExp
| X676 = vvar(esk57_2(X676,X677))
| ~ epred3_2(X677,X676) )
& ( ~ visSomeExp(esk67_2(X676,X677))
| visSomeExp(esk65_2(X676,X677))
| X677 = vnoExp
| X676 = vvar(esk57_2(X676,X677))
| ~ epred3_2(X677,X676) )
& ( visValue(esk69_2(X676,X677))
| visSomeExp(esk65_2(X676,X677))
| X677 = vnoExp
| X676 = vvar(esk57_2(X676,X677))
| ~ epred3_2(X677,X676) )
& ( X677 = vsomeExp(vsubst(esk68_2(X676,X677),esk69_2(X676,X677),esk70_2(X676,X677)))
| visSomeExp(esk65_2(X676,X677))
| X677 = vnoExp
| X676 = vvar(esk57_2(X676,X677))
| ~ epred3_2(X677,X676) )
& ( X676 = vapp(vabs(esk68_2(X676,X677),esk66_2(X676,X677),esk70_2(X676,X677)),esk69_2(X676,X677))
| X677 = vsomeExp(vapp(vabs(esk62_2(X676,X677),esk63_2(X676,X677),esk64_2(X676,X677)),vgetSomeExp(esk65_2(X676,X677))))
| X677 = vnoExp
| X676 = vvar(esk57_2(X676,X677))
| ~ epred3_2(X677,X676) )
& ( esk67_2(X676,X677) = vreduce(esk69_2(X676,X677))
| X677 = vsomeExp(vapp(vabs(esk62_2(X676,X677),esk63_2(X676,X677),esk64_2(X676,X677)),vgetSomeExp(esk65_2(X676,X677))))
| X677 = vnoExp
| X676 = vvar(esk57_2(X676,X677))
| ~ epred3_2(X677,X676) )
& ( ~ visSomeExp(esk67_2(X676,X677))
| X677 = vsomeExp(vapp(vabs(esk62_2(X676,X677),esk63_2(X676,X677),esk64_2(X676,X677)),vgetSomeExp(esk65_2(X676,X677))))
| X677 = vnoExp
| X676 = vvar(esk57_2(X676,X677))
| ~ epred3_2(X677,X676) )
& ( visValue(esk69_2(X676,X677))
| X677 = vsomeExp(vapp(vabs(esk62_2(X676,X677),esk63_2(X676,X677),esk64_2(X676,X677)),vgetSomeExp(esk65_2(X676,X677))))
| X677 = vnoExp
| X676 = vvar(esk57_2(X676,X677))
| ~ epred3_2(X677,X676) )
& ( X677 = vsomeExp(vsubst(esk68_2(X676,X677),esk69_2(X676,X677),esk70_2(X676,X677)))
| X677 = vsomeExp(vapp(vabs(esk62_2(X676,X677),esk63_2(X676,X677),esk64_2(X676,X677)),vgetSomeExp(esk65_2(X676,X677))))
| X677 = vnoExp
| X676 = vvar(esk57_2(X676,X677))
| ~ epred3_2(X677,X676) )
& ( X676 = vapp(vabs(esk68_2(X676,X677),esk66_2(X676,X677),esk70_2(X676,X677)),esk69_2(X676,X677))
| X676 = vapp(vabs(esk62_2(X676,X677),esk63_2(X676,X677),esk64_2(X676,X677)),esk61_2(X676,X677))
| X676 = vabs(esk58_2(X676,X677),esk59_2(X676,X677),esk60_2(X676,X677))
| X677 = vnoExp
| ~ epred3_2(X677,X676) )
& ( esk67_2(X676,X677) = vreduce(esk69_2(X676,X677))
| X676 = vapp(vabs(esk62_2(X676,X677),esk63_2(X676,X677),esk64_2(X676,X677)),esk61_2(X676,X677))
| X676 = vabs(esk58_2(X676,X677),esk59_2(X676,X677),esk60_2(X676,X677))
| X677 = vnoExp
| ~ epred3_2(X677,X676) )
& ( ~ visSomeExp(esk67_2(X676,X677))
| X676 = vapp(vabs(esk62_2(X676,X677),esk63_2(X676,X677),esk64_2(X676,X677)),esk61_2(X676,X677))
| X676 = vabs(esk58_2(X676,X677),esk59_2(X676,X677),esk60_2(X676,X677))
| X677 = vnoExp
| ~ epred3_2(X677,X676) )
& ( visValue(esk69_2(X676,X677))
| X676 = vapp(vabs(esk62_2(X676,X677),esk63_2(X676,X677),esk64_2(X676,X677)),esk61_2(X676,X677))
| X676 = vabs(esk58_2(X676,X677),esk59_2(X676,X677),esk60_2(X676,X677))
| X677 = vnoExp
| ~ epred3_2(X677,X676) )
& ( X677 = vsomeExp(vsubst(esk68_2(X676,X677),esk69_2(X676,X677),esk70_2(X676,X677)))
| X676 = vapp(vabs(esk62_2(X676,X677),esk63_2(X676,X677),esk64_2(X676,X677)),esk61_2(X676,X677))
| X676 = vabs(esk58_2(X676,X677),esk59_2(X676,X677),esk60_2(X676,X677))
| X677 = vnoExp
| ~ epred3_2(X677,X676) )
& ( X676 = vapp(vabs(esk68_2(X676,X677),esk66_2(X676,X677),esk70_2(X676,X677)),esk69_2(X676,X677))
| esk65_2(X676,X677) = vreduce(esk61_2(X676,X677))
| X676 = vabs(esk58_2(X676,X677),esk59_2(X676,X677),esk60_2(X676,X677))
| X677 = vnoExp
| ~ epred3_2(X677,X676) )
& ( esk67_2(X676,X677) = vreduce(esk69_2(X676,X677))
| esk65_2(X676,X677) = vreduce(esk61_2(X676,X677))
| X676 = vabs(esk58_2(X676,X677),esk59_2(X676,X677),esk60_2(X676,X677))
| X677 = vnoExp
| ~ epred3_2(X677,X676) )
& ( ~ visSomeExp(esk67_2(X676,X677))
| esk65_2(X676,X677) = vreduce(esk61_2(X676,X677))
| X676 = vabs(esk58_2(X676,X677),esk59_2(X676,X677),esk60_2(X676,X677))
| X677 = vnoExp
| ~ epred3_2(X677,X676) )
& ( visValue(esk69_2(X676,X677))
| esk65_2(X676,X677) = vreduce(esk61_2(X676,X677))
| X676 = vabs(esk58_2(X676,X677),esk59_2(X676,X677),esk60_2(X676,X677))
| X677 = vnoExp
| ~ epred3_2(X677,X676) )
& ( X677 = vsomeExp(vsubst(esk68_2(X676,X677),esk69_2(X676,X677),esk70_2(X676,X677)))
| esk65_2(X676,X677) = vreduce(esk61_2(X676,X677))
| X676 = vabs(esk58_2(X676,X677),esk59_2(X676,X677),esk60_2(X676,X677))
| X677 = vnoExp
| ~ epred3_2(X677,X676) )
& ( X676 = vapp(vabs(esk68_2(X676,X677),esk66_2(X676,X677),esk70_2(X676,X677)),esk69_2(X676,X677))
| visSomeExp(esk65_2(X676,X677))
| X676 = vabs(esk58_2(X676,X677),esk59_2(X676,X677),esk60_2(X676,X677))
| X677 = vnoExp
| ~ epred3_2(X677,X676) )
& ( esk67_2(X676,X677) = vreduce(esk69_2(X676,X677))
| visSomeExp(esk65_2(X676,X677))
| X676 = vabs(esk58_2(X676,X677),esk59_2(X676,X677),esk60_2(X676,X677))
| X677 = vnoExp
| ~ epred3_2(X677,X676) )
& ( ~ visSomeExp(esk67_2(X676,X677))
| visSomeExp(esk65_2(X676,X677))
| X676 = vabs(esk58_2(X676,X677),esk59_2(X676,X677),esk60_2(X676,X677))
| X677 = vnoExp
| ~ epred3_2(X677,X676) )
& ( visValue(esk69_2(X676,X677))
| visSomeExp(esk65_2(X676,X677))
| X676 = vabs(esk58_2(X676,X677),esk59_2(X676,X677),esk60_2(X676,X677))
| X677 = vnoExp
| ~ epred3_2(X677,X676) )
& ( X677 = vsomeExp(vsubst(esk68_2(X676,X677),esk69_2(X676,X677),esk70_2(X676,X677)))
| visSomeExp(esk65_2(X676,X677))
| X676 = vabs(esk58_2(X676,X677),esk59_2(X676,X677),esk60_2(X676,X677))
| X677 = vnoExp
| ~ epred3_2(X677,X676) )
& ( X676 = vapp(vabs(esk68_2(X676,X677),esk66_2(X676,X677),esk70_2(X676,X677)),esk69_2(X676,X677))
| X677 = vsomeExp(vapp(vabs(esk62_2(X676,X677),esk63_2(X676,X677),esk64_2(X676,X677)),vgetSomeExp(esk65_2(X676,X677))))
| X676 = vabs(esk58_2(X676,X677),esk59_2(X676,X677),esk60_2(X676,X677))
| X677 = vnoExp
| ~ epred3_2(X677,X676) )
& ( esk67_2(X676,X677) = vreduce(esk69_2(X676,X677))
| X677 = vsomeExp(vapp(vabs(esk62_2(X676,X677),esk63_2(X676,X677),esk64_2(X676,X677)),vgetSomeExp(esk65_2(X676,X677))))
| X676 = vabs(esk58_2(X676,X677),esk59_2(X676,X677),esk60_2(X676,X677))
| X677 = vnoExp
| ~ epred3_2(X677,X676) )
& ( ~ visSomeExp(esk67_2(X676,X677))
| X677 = vsomeExp(vapp(vabs(esk62_2(X676,X677),esk63_2(X676,X677),esk64_2(X676,X677)),vgetSomeExp(esk65_2(X676,X677))))
| X676 = vabs(esk58_2(X676,X677),esk59_2(X676,X677),esk60_2(X676,X677))
| X677 = vnoExp
| ~ epred3_2(X677,X676) )
& ( visValue(esk69_2(X676,X677))
| X677 = vsomeExp(vapp(vabs(esk62_2(X676,X677),esk63_2(X676,X677),esk64_2(X676,X677)),vgetSomeExp(esk65_2(X676,X677))))
| X676 = vabs(esk58_2(X676,X677),esk59_2(X676,X677),esk60_2(X676,X677))
| X677 = vnoExp
| ~ epred3_2(X677,X676) )
& ( X677 = vsomeExp(vsubst(esk68_2(X676,X677),esk69_2(X676,X677),esk70_2(X676,X677)))
| X677 = vsomeExp(vapp(vabs(esk62_2(X676,X677),esk63_2(X676,X677),esk64_2(X676,X677)),vgetSomeExp(esk65_2(X676,X677))))
| X676 = vabs(esk58_2(X676,X677),esk59_2(X676,X677),esk60_2(X676,X677))
| X677 = vnoExp
| ~ epred3_2(X677,X676) )
& ( X676 = vapp(vabs(esk68_2(X676,X677),esk66_2(X676,X677),esk70_2(X676,X677)),esk69_2(X676,X677))
| X676 = vapp(vabs(esk62_2(X676,X677),esk63_2(X676,X677),esk64_2(X676,X677)),esk61_2(X676,X677))
| X677 = vnoExp
| X677 = vnoExp
| ~ epred3_2(X677,X676) )
& ( esk67_2(X676,X677) = vreduce(esk69_2(X676,X677))
| X676 = vapp(vabs(esk62_2(X676,X677),esk63_2(X676,X677),esk64_2(X676,X677)),esk61_2(X676,X677))
| X677 = vnoExp
| X677 = vnoExp
| ~ epred3_2(X677,X676) )
& ( ~ visSomeExp(esk67_2(X676,X677))
| X676 = vapp(vabs(esk62_2(X676,X677),esk63_2(X676,X677),esk64_2(X676,X677)),esk61_2(X676,X677))
| X677 = vnoExp
| X677 = vnoExp
| ~ epred3_2(X677,X676) )
& ( visValue(esk69_2(X676,X677))
| X676 = vapp(vabs(esk62_2(X676,X677),esk63_2(X676,X677),esk64_2(X676,X677)),esk61_2(X676,X677))
| X677 = vnoExp
| X677 = vnoExp
| ~ epred3_2(X677,X676) )
& ( X677 = vsomeExp(vsubst(esk68_2(X676,X677),esk69_2(X676,X677),esk70_2(X676,X677)))
| X676 = vapp(vabs(esk62_2(X676,X677),esk63_2(X676,X677),esk64_2(X676,X677)),esk61_2(X676,X677))
| X677 = vnoExp
| X677 = vnoExp
| ~ epred3_2(X677,X676) )
& ( X676 = vapp(vabs(esk68_2(X676,X677),esk66_2(X676,X677),esk70_2(X676,X677)),esk69_2(X676,X677))
| esk65_2(X676,X677) = vreduce(esk61_2(X676,X677))
| X677 = vnoExp
| X677 = vnoExp
| ~ epred3_2(X677,X676) )
& ( esk67_2(X676,X677) = vreduce(esk69_2(X676,X677))
| esk65_2(X676,X677) = vreduce(esk61_2(X676,X677))
| X677 = vnoExp
| X677 = vnoExp
| ~ epred3_2(X677,X676) )
& ( ~ visSomeExp(esk67_2(X676,X677))
| esk65_2(X676,X677) = vreduce(esk61_2(X676,X677))
| X677 = vnoExp
| X677 = vnoExp
| ~ epred3_2(X677,X676) )
& ( visValue(esk69_2(X676,X677))
| esk65_2(X676,X677) = vreduce(esk61_2(X676,X677))
| X677 = vnoExp
| X677 = vnoExp
| ~ epred3_2(X677,X676) )
& ( X677 = vsomeExp(vsubst(esk68_2(X676,X677),esk69_2(X676,X677),esk70_2(X676,X677)))
| esk65_2(X676,X677) = vreduce(esk61_2(X676,X677))
| X677 = vnoExp
| X677 = vnoExp
| ~ epred3_2(X677,X676) )
& ( X676 = vapp(vabs(esk68_2(X676,X677),esk66_2(X676,X677),esk70_2(X676,X677)),esk69_2(X676,X677))
| visSomeExp(esk65_2(X676,X677))
| X677 = vnoExp
| X677 = vnoExp
| ~ epred3_2(X677,X676) )
& ( esk67_2(X676,X677) = vreduce(esk69_2(X676,X677))
| visSomeExp(esk65_2(X676,X677))
| X677 = vnoExp
| X677 = vnoExp
| ~ epred3_2(X677,X676) )
& ( ~ visSomeExp(esk67_2(X676,X677))
| visSomeExp(esk65_2(X676,X677))
| X677 = vnoExp
| X677 = vnoExp
| ~ epred3_2(X677,X676) )
& ( visValue(esk69_2(X676,X677))
| visSomeExp(esk65_2(X676,X677))
| X677 = vnoExp
| X677 = vnoExp
| ~ epred3_2(X677,X676) )
& ( X677 = vsomeExp(vsubst(esk68_2(X676,X677),esk69_2(X676,X677),esk70_2(X676,X677)))
| visSomeExp(esk65_2(X676,X677))
| X677 = vnoExp
| X677 = vnoExp
| ~ epred3_2(X677,X676) )
& ( X676 = vapp(vabs(esk68_2(X676,X677),esk66_2(X676,X677),esk70_2(X676,X677)),esk69_2(X676,X677))
| X677 = vsomeExp(vapp(vabs(esk62_2(X676,X677),esk63_2(X676,X677),esk64_2(X676,X677)),vgetSomeExp(esk65_2(X676,X677))))
| X677 = vnoExp
| X677 = vnoExp
| ~ epred3_2(X677,X676) )
& ( esk67_2(X676,X677) = vreduce(esk69_2(X676,X677))
| X677 = vsomeExp(vapp(vabs(esk62_2(X676,X677),esk63_2(X676,X677),esk64_2(X676,X677)),vgetSomeExp(esk65_2(X676,X677))))
| X677 = vnoExp
| X677 = vnoExp
| ~ epred3_2(X677,X676) )
& ( ~ visSomeExp(esk67_2(X676,X677))
| X677 = vsomeExp(vapp(vabs(esk62_2(X676,X677),esk63_2(X676,X677),esk64_2(X676,X677)),vgetSomeExp(esk65_2(X676,X677))))
| X677 = vnoExp
| X677 = vnoExp
| ~ epred3_2(X677,X676) )
& ( visValue(esk69_2(X676,X677))
| X677 = vsomeExp(vapp(vabs(esk62_2(X676,X677),esk63_2(X676,X677),esk64_2(X676,X677)),vgetSomeExp(esk65_2(X676,X677))))
| X677 = vnoExp
| X677 = vnoExp
| ~ epred3_2(X677,X676) )
& ( X677 = vsomeExp(vsubst(esk68_2(X676,X677),esk69_2(X676,X677),esk70_2(X676,X677)))
| X677 = vsomeExp(vapp(vabs(esk62_2(X676,X677),esk63_2(X676,X677),esk64_2(X676,X677)),vgetSomeExp(esk65_2(X676,X677))))
| X677 = vnoExp
| X677 = vnoExp
| ~ epred3_2(X677,X676) ) ),
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_59])])])])]) ).
fof(i_0_66,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_60]),c_0_56]) ).
fof(i_0_67,plain,
! [X1,X4,X6,X19,X21,X15,X9,X11,X12] :
( ( X1 = X9
& X4 = X11
& X6 = vabs(X21,X15,X12) )
=> ( ( X9 != X21
& ~ visFreeVar(X21,X11) )
=> ( X19 = vsubst(X1,X4,X6)
=> X19 = vabs(X21,X15,vsubst(X9,X11,X12)) ) ) ),
inference(fof_simplification,[status(thm)],[subst5]) ).
fof(i_0_68,plain,
! [X10,X26,X4,X19,X9,X13,X12] :
( X4 = vapp(vabs(X9,X10,X12),X13)
=> ( ( X26 = vreduce(X13)
& ~ visSomeExp(X26)
& visValue(X13) )
=> ( X19 = vreduce(X4)
=> X19 = vsomeExp(vsubst(X9,X13,X12)) ) ) ),
inference(fof_simplification,[status(thm)],[reduce3]) ).
fof(i_0_69,plain,
! [X9,X10,X20,X11,X15] :
( ( ~ visFreeVar(X9,X11)
& vtcheck(vbind(X9,X10,X20),X11,X15) )
=> vtcheck(X20,X11,X15) ),
inference(fof_simplification,[status(thm)],['T-Strong']) ).
fof(i_0_70,negated_conjecture,
~ ! [X9,X10,X20,X15] :
( ( ~ visFreeVar(X9,vapp(ve1app,ve2app))
& vtcheck(X20,vapp(ve1app,ve2app),X15) )
=> vtcheck(vbind(X9,X10,X20),vapp(ve1app,ve2app),X15) ),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],['T-Weak-FreeVar-app'])]) ).
fof(i_0_71,plain,
! [X9,X10,X20,X15] :
( ( ~ visFreeVar(X9,ve2app)
& vtcheck(X20,ve2app,X15) )
=> vtcheck(vbind(X9,X10,X20),ve2app,X15) ),
inference(fof_simplification,[status(thm)],['T-Weak-FreeVar-app-IH2']) ).
fof(i_0_72,plain,
! [X9,X10,X20,X15] :
( ( ~ visFreeVar(X9,ve1app)
& vtcheck(X20,ve1app,X15) )
=> vtcheck(vbind(X9,X10,X20),ve1app,X15) ),
inference(fof_simplification,[status(thm)],['T-Weak-FreeVar-app-IH1']) ).
fof(i_0_73,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_74,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_60]) ).
fof(i_0_75,plain,
! [X12,X13,X4] :
( X4 = vapp(X12,X13)
=> ~ visValue(X4) ),
inference(fof_simplification,[status(thm)],[isValue2]) ).
fof(i_0_76,plain,
! [X14,X11] :
( vgensym(X11) = X14
=> ~ visFreeVar(X14,X11) ),
inference(fof_simplification,[status(thm)],['gensym-is-fresh']) ).
fof(i_0_77,plain,
! [X9,X4] :
( X4 = vvar(X9)
=> ~ visValue(X4) ),
inference(fof_simplification,[status(thm)],[isValue1]) ).
fof(i_0_78,plain,
! [X25] :
( X25 = vnoExp
=> ~ visSomeExp(X25) ),
inference(fof_simplification,[status(thm)],[isSomeExp0]) ).
fof(i_0_79,plain,
! [X18] :
( X18 = vnoType
=> ~ visSomeType(X18) ),
inference(fof_simplification,[status(thm)],[isSomeType0]) ).
fof(i_0_80,plain,
! [X657,X658,X659,X660] :
( ( X657 = esk51_4(X657,X658,X659,X660)
| X657 = esk47_4(X657,X658,X659,X660)
| X657 = esk43_4(X657,X658,X659,X660)
| epred1_4(X660,X659,X658,X657)
| ~ epred2_4(X660,X659,X658,X657) )
& ( X658 = esk52_4(X657,X658,X659,X660)
| X657 = esk47_4(X657,X658,X659,X660)
| X657 = esk43_4(X657,X658,X659,X660)
| epred1_4(X660,X659,X658,X657)
| ~ epred2_4(X660,X659,X658,X657) )
& ( X659 = vabs(esk54_4(X657,X658,X659,X660),esk53_4(X657,X658,X659,X660),esk56_4(X657,X658,X659,X660))
| X657 = esk47_4(X657,X658,X659,X660)
| X657 = esk43_4(X657,X658,X659,X660)
| epred1_4(X660,X659,X658,X657)
| ~ epred2_4(X660,X659,X658,X657) )
& ( esk51_4(X657,X658,X659,X660) != esk54_4(X657,X658,X659,X660)
| X657 = esk47_4(X657,X658,X659,X660)
| X657 = esk43_4(X657,X658,X659,X660)
| epred1_4(X660,X659,X658,X657)
| ~ epred2_4(X660,X659,X658,X657) )
& ( visFreeVar(esk54_4(X657,X658,X659,X660),esk52_4(X657,X658,X659,X660))
| X657 = esk47_4(X657,X658,X659,X660)
| X657 = esk43_4(X657,X658,X659,X660)
| epred1_4(X660,X659,X658,X657)
| ~ epred2_4(X660,X659,X658,X657) )
& ( esk55_4(X657,X658,X659,X660) = vgensym(vapp(vapp(esk52_4(X657,X658,X659,X660),esk56_4(X657,X658,X659,X660)),vvar(esk51_4(X657,X658,X659,X660))))
| X657 = esk47_4(X657,X658,X659,X660)
| X657 = esk43_4(X657,X658,X659,X660)
| epred1_4(X660,X659,X658,X657)
| ~ epred2_4(X660,X659,X658,X657) )
& ( X660 = vsubst(esk51_4(X657,X658,X659,X660),esk52_4(X657,X658,X659,X660),vabs(esk55_4(X657,X658,X659,X660),esk53_4(X657,X658,X659,X660),vsubst(esk54_4(X657,X658,X659,X660),vvar(esk55_4(X657,X658,X659,X660)),esk56_4(X657,X658,X659,X660))))
| X657 = esk47_4(X657,X658,X659,X660)
| X657 = esk43_4(X657,X658,X659,X660)
| epred1_4(X660,X659,X658,X657)
| ~ epred2_4(X660,X659,X658,X657) )
& ( X657 = esk51_4(X657,X658,X659,X660)
| X658 = esk46_4(X657,X658,X659,X660)
| X657 = esk43_4(X657,X658,X659,X660)
| epred1_4(X660,X659,X658,X657)
| ~ epred2_4(X660,X659,X658,X657) )
& ( X658 = esk52_4(X657,X658,X659,X660)
| X658 = esk46_4(X657,X658,X659,X660)
| X657 = esk43_4(X657,X658,X659,X660)
| epred1_4(X660,X659,X658,X657)
| ~ epred2_4(X660,X659,X658,X657) )
& ( X659 = vabs(esk54_4(X657,X658,X659,X660),esk53_4(X657,X658,X659,X660),esk56_4(X657,X658,X659,X660))
| X658 = esk46_4(X657,X658,X659,X660)
| X657 = esk43_4(X657,X658,X659,X660)
| epred1_4(X660,X659,X658,X657)
| ~ epred2_4(X660,X659,X658,X657) )
& ( esk51_4(X657,X658,X659,X660) != esk54_4(X657,X658,X659,X660)
| X658 = esk46_4(X657,X658,X659,X660)
| X657 = esk43_4(X657,X658,X659,X660)
| epred1_4(X660,X659,X658,X657)
| ~ epred2_4(X660,X659,X658,X657) )
& ( visFreeVar(esk54_4(X657,X658,X659,X660),esk52_4(X657,X658,X659,X660))
| X658 = esk46_4(X657,X658,X659,X660)
| X657 = esk43_4(X657,X658,X659,X660)
| epred1_4(X660,X659,X658,X657)
| ~ epred2_4(X660,X659,X658,X657) )
& ( esk55_4(X657,X658,X659,X660) = vgensym(vapp(vapp(esk52_4(X657,X658,X659,X660),esk56_4(X657,X658,X659,X660)),vvar(esk51_4(X657,X658,X659,X660))))
| X658 = esk46_4(X657,X658,X659,X660)
| X657 = esk43_4(X657,X658,X659,X660)
| epred1_4(X660,X659,X658,X657)
| ~ epred2_4(X660,X659,X658,X657) )
& ( X660 = vsubst(esk51_4(X657,X658,X659,X660),esk52_4(X657,X658,X659,X660),vabs(esk55_4(X657,X658,X659,X660),esk53_4(X657,X658,X659,X660),vsubst(esk54_4(X657,X658,X659,X660),vvar(esk55_4(X657,X658,X659,X660)),esk56_4(X657,X658,X659,X660))))
| X658 = esk46_4(X657,X658,X659,X660)
| X657 = esk43_4(X657,X658,X659,X660)
| epred1_4(X660,X659,X658,X657)
| ~ epred2_4(X660,X659,X658,X657) )
& ( X657 = esk51_4(X657,X658,X659,X660)
| X659 = vabs(esk48_4(X657,X658,X659,X660),esk49_4(X657,X658,X659,X660),esk50_4(X657,X658,X659,X660))
| X657 = esk43_4(X657,X658,X659,X660)
| epred1_4(X660,X659,X658,X657)
| ~ epred2_4(X660,X659,X658,X657) )
& ( X658 = esk52_4(X657,X658,X659,X660)
| X659 = vabs(esk48_4(X657,X658,X659,X660),esk49_4(X657,X658,X659,X660),esk50_4(X657,X658,X659,X660))
| X657 = esk43_4(X657,X658,X659,X660)
| epred1_4(X660,X659,X658,X657)
| ~ epred2_4(X660,X659,X658,X657) )
& ( X659 = vabs(esk54_4(X657,X658,X659,X660),esk53_4(X657,X658,X659,X660),esk56_4(X657,X658,X659,X660))
| X659 = vabs(esk48_4(X657,X658,X659,X660),esk49_4(X657,X658,X659,X660),esk50_4(X657,X658,X659,X660))
| X657 = esk43_4(X657,X658,X659,X660)
| epred1_4(X660,X659,X658,X657)
| ~ epred2_4(X660,X659,X658,X657) )
& ( esk51_4(X657,X658,X659,X660) != esk54_4(X657,X658,X659,X660)
| X659 = vabs(esk48_4(X657,X658,X659,X660),esk49_4(X657,X658,X659,X660),esk50_4(X657,X658,X659,X660))
| X657 = esk43_4(X657,X658,X659,X660)
| epred1_4(X660,X659,X658,X657)
| ~ epred2_4(X660,X659,X658,X657) )
& ( visFreeVar(esk54_4(X657,X658,X659,X660),esk52_4(X657,X658,X659,X660))
| X659 = vabs(esk48_4(X657,X658,X659,X660),esk49_4(X657,X658,X659,X660),esk50_4(X657,X658,X659,X660))
| X657 = esk43_4(X657,X658,X659,X660)
| epred1_4(X660,X659,X658,X657)
| ~ epred2_4(X660,X659,X658,X657) )
& ( esk55_4(X657,X658,X659,X660) = vgensym(vapp(vapp(esk52_4(X657,X658,X659,X660),esk56_4(X657,X658,X659,X660)),vvar(esk51_4(X657,X658,X659,X660))))
| X659 = vabs(esk48_4(X657,X658,X659,X660),esk49_4(X657,X658,X659,X660),esk50_4(X657,X658,X659,X660))
| X657 = esk43_4(X657,X658,X659,X660)
| epred1_4(X660,X659,X658,X657)
| ~ epred2_4(X660,X659,X658,X657) )
& ( X660 = vsubst(esk51_4(X657,X658,X659,X660),esk52_4(X657,X658,X659,X660),vabs(esk55_4(X657,X658,X659,X660),esk53_4(X657,X658,X659,X660),vsubst(esk54_4(X657,X658,X659,X660),vvar(esk55_4(X657,X658,X659,X660)),esk56_4(X657,X658,X659,X660))))
| X659 = vabs(esk48_4(X657,X658,X659,X660),esk49_4(X657,X658,X659,X660),esk50_4(X657,X658,X659,X660))
| X657 = esk43_4(X657,X658,X659,X660)
| epred1_4(X660,X659,X658,X657)
| ~ epred2_4(X660,X659,X658,X657) )
& ( X657 = esk51_4(X657,X658,X659,X660)
| esk47_4(X657,X658,X659,X660) = esk48_4(X657,X658,X659,X660)
| X657 = esk43_4(X657,X658,X659,X660)
| epred1_4(X660,X659,X658,X657)
| ~ epred2_4(X660,X659,X658,X657) )
& ( X658 = esk52_4(X657,X658,X659,X660)
| esk47_4(X657,X658,X659,X660) = esk48_4(X657,X658,X659,X660)
| X657 = esk43_4(X657,X658,X659,X660)
| epred1_4(X660,X659,X658,X657)
| ~ epred2_4(X660,X659,X658,X657) )
& ( X659 = vabs(esk54_4(X657,X658,X659,X660),esk53_4(X657,X658,X659,X660),esk56_4(X657,X658,X659,X660))
| esk47_4(X657,X658,X659,X660) = esk48_4(X657,X658,X659,X660)
| X657 = esk43_4(X657,X658,X659,X660)
| epred1_4(X660,X659,X658,X657)
| ~ epred2_4(X660,X659,X658,X657) )
& ( esk51_4(X657,X658,X659,X660) != esk54_4(X657,X658,X659,X660)
| esk47_4(X657,X658,X659,X660) = esk48_4(X657,X658,X659,X660)
| X657 = esk43_4(X657,X658,X659,X660)
| epred1_4(X660,X659,X658,X657)
| ~ epred2_4(X660,X659,X658,X657) )
& ( visFreeVar(esk54_4(X657,X658,X659,X660),esk52_4(X657,X658,X659,X660))
| esk47_4(X657,X658,X659,X660) = esk48_4(X657,X658,X659,X660)
| X657 = esk43_4(X657,X658,X659,X660)
| epred1_4(X660,X659,X658,X657)
| ~ epred2_4(X660,X659,X658,X657) )
& ( esk55_4(X657,X658,X659,X660) = vgensym(vapp(vapp(esk52_4(X657,X658,X659,X660),esk56_4(X657,X658,X659,X660)),vvar(esk51_4(X657,X658,X659,X660))))
| esk47_4(X657,X658,X659,X660) = esk48_4(X657,X658,X659,X660)
| X657 = esk43_4(X657,X658,X659,X660)
| epred1_4(X660,X659,X658,X657)
| ~ epred2_4(X660,X659,X658,X657) )
& ( X660 = vsubst(esk51_4(X657,X658,X659,X660),esk52_4(X657,X658,X659,X660),vabs(esk55_4(X657,X658,X659,X660),esk53_4(X657,X658,X659,X660),vsubst(esk54_4(X657,X658,X659,X660),vvar(esk55_4(X657,X658,X659,X660)),esk56_4(X657,X658,X659,X660))))
| esk47_4(X657,X658,X659,X660) = esk48_4(X657,X658,X659,X660)
| X657 = esk43_4(X657,X658,X659,X660)
| epred1_4(X660,X659,X658,X657)
| ~ epred2_4(X660,X659,X658,X657) )
& ( X657 = esk51_4(X657,X658,X659,X660)
| X660 = vabs(esk48_4(X657,X658,X659,X660),esk49_4(X657,X658,X659,X660),esk50_4(X657,X658,X659,X660))
| X657 = esk43_4(X657,X658,X659,X660)
| epred1_4(X660,X659,X658,X657)
| ~ epred2_4(X660,X659,X658,X657) )
& ( X658 = esk52_4(X657,X658,X659,X660)
| X660 = vabs(esk48_4(X657,X658,X659,X660),esk49_4(X657,X658,X659,X660),esk50_4(X657,X658,X659,X660))
| X657 = esk43_4(X657,X658,X659,X660)
| epred1_4(X660,X659,X658,X657)
| ~ epred2_4(X660,X659,X658,X657) )
& ( X659 = vabs(esk54_4(X657,X658,X659,X660),esk53_4(X657,X658,X659,X660),esk56_4(X657,X658,X659,X660))
| X660 = vabs(esk48_4(X657,X658,X659,X660),esk49_4(X657,X658,X659,X660),esk50_4(X657,X658,X659,X660))
| X657 = esk43_4(X657,X658,X659,X660)
| epred1_4(X660,X659,X658,X657)
| ~ epred2_4(X660,X659,X658,X657) )
& ( esk51_4(X657,X658,X659,X660) != esk54_4(X657,X658,X659,X660)
| X660 = vabs(esk48_4(X657,X658,X659,X660),esk49_4(X657,X658,X659,X660),esk50_4(X657,X658,X659,X660))
| X657 = esk43_4(X657,X658,X659,X660)
| epred1_4(X660,X659,X658,X657)
| ~ epred2_4(X660,X659,X658,X657) )
& ( visFreeVar(esk54_4(X657,X658,X659,X660),esk52_4(X657,X658,X659,X660))
| X660 = vabs(esk48_4(X657,X658,X659,X660),esk49_4(X657,X658,X659,X660),esk50_4(X657,X658,X659,X660))
| X657 = esk43_4(X657,X658,X659,X660)
| epred1_4(X660,X659,X658,X657)
| ~ epred2_4(X660,X659,X658,X657) )
& ( esk55_4(X657,X658,X659,X660) = vgensym(vapp(vapp(esk52_4(X657,X658,X659,X660),esk56_4(X657,X658,X659,X660)),vvar(esk51_4(X657,X658,X659,X660))))
| X660 = vabs(esk48_4(X657,X658,X659,X660),esk49_4(X657,X658,X659,X660),esk50_4(X657,X658,X659,X660))
| X657 = esk43_4(X657,X658,X659,X660)
| epred1_4(X660,X659,X658,X657)
| ~ epred2_4(X660,X659,X658,X657) )
& ( X660 = vsubst(esk51_4(X657,X658,X659,X660),esk52_4(X657,X658,X659,X660),vabs(esk55_4(X657,X658,X659,X660),esk53_4(X657,X658,X659,X660),vsubst(esk54_4(X657,X658,X659,X660),vvar(esk55_4(X657,X658,X659,X660)),esk56_4(X657,X658,X659,X660))))
| X660 = vabs(esk48_4(X657,X658,X659,X660),esk49_4(X657,X658,X659,X660),esk50_4(X657,X658,X659,X660))
| X657 = esk43_4(X657,X658,X659,X660)
| epred1_4(X660,X659,X658,X657)
| ~ epred2_4(X660,X659,X658,X657) )
& ( X657 = esk51_4(X657,X658,X659,X660)
| X657 = esk47_4(X657,X658,X659,X660)
| X658 = esk44_4(X657,X658,X659,X660)
| epred1_4(X660,X659,X658,X657)
| ~ epred2_4(X660,X659,X658,X657) )
& ( X658 = esk52_4(X657,X658,X659,X660)
| X657 = esk47_4(X657,X658,X659,X660)
| X658 = esk44_4(X657,X658,X659,X660)
| epred1_4(X660,X659,X658,X657)
| ~ epred2_4(X660,X659,X658,X657) )
& ( X659 = vabs(esk54_4(X657,X658,X659,X660),esk53_4(X657,X658,X659,X660),esk56_4(X657,X658,X659,X660))
| X657 = esk47_4(X657,X658,X659,X660)
| X658 = esk44_4(X657,X658,X659,X660)
| epred1_4(X660,X659,X658,X657)
| ~ epred2_4(X660,X659,X658,X657) )
& ( esk51_4(X657,X658,X659,X660) != esk54_4(X657,X658,X659,X660)
| X657 = esk47_4(X657,X658,X659,X660)
| X658 = esk44_4(X657,X658,X659,X660)
| epred1_4(X660,X659,X658,X657)
| ~ epred2_4(X660,X659,X658,X657) )
& ( visFreeVar(esk54_4(X657,X658,X659,X660),esk52_4(X657,X658,X659,X660))
| X657 = esk47_4(X657,X658,X659,X660)
| X658 = esk44_4(X657,X658,X659,X660)
| epred1_4(X660,X659,X658,X657)
| ~ epred2_4(X660,X659,X658,X657) )
& ( esk55_4(X657,X658,X659,X660) = vgensym(vapp(vapp(esk52_4(X657,X658,X659,X660),esk56_4(X657,X658,X659,X660)),vvar(esk51_4(X657,X658,X659,X660))))
| X657 = esk47_4(X657,X658,X659,X660)
| X658 = esk44_4(X657,X658,X659,X660)
| epred1_4(X660,X659,X658,X657)
| ~ epred2_4(X660,X659,X658,X657) )
& ( X660 = vsubst(esk51_4(X657,X658,X659,X660),esk52_4(X657,X658,X659,X660),vabs(esk55_4(X657,X658,X659,X660),esk53_4(X657,X658,X659,X660),vsubst(esk54_4(X657,X658,X659,X660),vvar(esk55_4(X657,X658,X659,X660)),esk56_4(X657,X658,X659,X660))))
| X657 = esk47_4(X657,X658,X659,X660)
| X658 = esk44_4(X657,X658,X659,X660)
| epred1_4(X660,X659,X658,X657)
| ~ epred2_4(X660,X659,X658,X657) )
& ( X657 = esk51_4(X657,X658,X659,X660)
| X658 = esk46_4(X657,X658,X659,X660)
| X658 = esk44_4(X657,X658,X659,X660)
| epred1_4(X660,X659,X658,X657)
| ~ epred2_4(X660,X659,X658,X657) )
& ( X658 = esk52_4(X657,X658,X659,X660)
| X658 = esk46_4(X657,X658,X659,X660)
| X658 = esk44_4(X657,X658,X659,X660)
| epred1_4(X660,X659,X658,X657)
| ~ epred2_4(X660,X659,X658,X657) )
& ( X659 = vabs(esk54_4(X657,X658,X659,X660),esk53_4(X657,X658,X659,X660),esk56_4(X657,X658,X659,X660))
| X658 = esk46_4(X657,X658,X659,X660)
| X658 = esk44_4(X657,X658,X659,X660)
| epred1_4(X660,X659,X658,X657)
| ~ epred2_4(X660,X659,X658,X657) )
& ( esk51_4(X657,X658,X659,X660) != esk54_4(X657,X658,X659,X660)
| X658 = esk46_4(X657,X658,X659,X660)
| X658 = esk44_4(X657,X658,X659,X660)
| epred1_4(X660,X659,X658,X657)
| ~ epred2_4(X660,X659,X658,X657) )
& ( visFreeVar(esk54_4(X657,X658,X659,X660),esk52_4(X657,X658,X659,X660))
| X658 = esk46_4(X657,X658,X659,X660)
| X658 = esk44_4(X657,X658,X659,X660)
| epred1_4(X660,X659,X658,X657)
| ~ epred2_4(X660,X659,X658,X657) )
& ( esk55_4(X657,X658,X659,X660) = vgensym(vapp(vapp(esk52_4(X657,X658,X659,X660),esk56_4(X657,X658,X659,X660)),vvar(esk51_4(X657,X658,X659,X660))))
| X658 = esk46_4(X657,X658,X659,X660)
| X658 = esk44_4(X657,X658,X659,X660)
| epred1_4(X660,X659,X658,X657)
| ~ epred2_4(X660,X659,X658,X657) )
& ( X660 = vsubst(esk51_4(X657,X658,X659,X660),esk52_4(X657,X658,X659,X660),vabs(esk55_4(X657,X658,X659,X660),esk53_4(X657,X658,X659,X660),vsubst(esk54_4(X657,X658,X659,X660),vvar(esk55_4(X657,X658,X659,X660)),esk56_4(X657,X658,X659,X660))))
| X658 = esk46_4(X657,X658,X659,X660)
| X658 = esk44_4(X657,X658,X659,X660)
| epred1_4(X660,X659,X658,X657)
| ~ epred2_4(X660,X659,X658,X657) )
& ( X657 = esk51_4(X657,X658,X659,X660)
| X659 = vabs(esk48_4(X657,X658,X659,X660),esk49_4(X657,X658,X659,X660),esk50_4(X657,X658,X659,X660))
| X658 = esk44_4(X657,X658,X659,X660)
| epred1_4(X660,X659,X658,X657)
| ~ epred2_4(X660,X659,X658,X657) )
& ( X658 = esk52_4(X657,X658,X659,X660)
| X659 = vabs(esk48_4(X657,X658,X659,X660),esk49_4(X657,X658,X659,X660),esk50_4(X657,X658,X659,X660))
| X658 = esk44_4(X657,X658,X659,X660)
| epred1_4(X660,X659,X658,X657)
| ~ epred2_4(X660,X659,X658,X657) )
& ( X659 = vabs(esk54_4(X657,X658,X659,X660),esk53_4(X657,X658,X659,X660),esk56_4(X657,X658,X659,X660))
| X659 = vabs(esk48_4(X657,X658,X659,X660),esk49_4(X657,X658,X659,X660),esk50_4(X657,X658,X659,X660))
| X658 = esk44_4(X657,X658,X659,X660)
| epred1_4(X660,X659,X658,X657)
| ~ epred2_4(X660,X659,X658,X657) )
& ( esk51_4(X657,X658,X659,X660) != esk54_4(X657,X658,X659,X660)
| X659 = vabs(esk48_4(X657,X658,X659,X660),esk49_4(X657,X658,X659,X660),esk50_4(X657,X658,X659,X660))
| X658 = esk44_4(X657,X658,X659,X660)
| epred1_4(X660,X659,X658,X657)
| ~ epred2_4(X660,X659,X658,X657) )
& ( visFreeVar(esk54_4(X657,X658,X659,X660),esk52_4(X657,X658,X659,X660))
| X659 = vabs(esk48_4(X657,X658,X659,X660),esk49_4(X657,X658,X659,X660),esk50_4(X657,X658,X659,X660))
| X658 = esk44_4(X657,X658,X659,X660)
| epred1_4(X660,X659,X658,X657)
| ~ epred2_4(X660,X659,X658,X657) )
& ( esk55_4(X657,X658,X659,X660) = vgensym(vapp(vapp(esk52_4(X657,X658,X659,X660),esk56_4(X657,X658,X659,X660)),vvar(esk51_4(X657,X658,X659,X660))))
| X659 = vabs(esk48_4(X657,X658,X659,X660),esk49_4(X657,X658,X659,X660),esk50_4(X657,X658,X659,X660))
| X658 = esk44_4(X657,X658,X659,X660)
| epred1_4(X660,X659,X658,X657)
| ~ epred2_4(X660,X659,X658,X657) )
& ( X660 = vsubst(esk51_4(X657,X658,X659,X660),esk52_4(X657,X658,X659,X660),vabs(esk55_4(X657,X658,X659,X660),esk53_4(X657,X658,X659,X660),vsubst(esk54_4(X657,X658,X659,X660),vvar(esk55_4(X657,X658,X659,X660)),esk56_4(X657,X658,X659,X660))))
| X659 = vabs(esk48_4(X657,X658,X659,X660),esk49_4(X657,X658,X659,X660),esk50_4(X657,X658,X659,X660))
| X658 = esk44_4(X657,X658,X659,X660)
| epred1_4(X660,X659,X658,X657)
| ~ epred2_4(X660,X659,X658,X657) )
& ( X657 = esk51_4(X657,X658,X659,X660)
| esk47_4(X657,X658,X659,X660) = esk48_4(X657,X658,X659,X660)
| X658 = esk44_4(X657,X658,X659,X660)
| epred1_4(X660,X659,X658,X657)
| ~ epred2_4(X660,X659,X658,X657) )
& ( X658 = esk52_4(X657,X658,X659,X660)
| esk47_4(X657,X658,X659,X660) = esk48_4(X657,X658,X659,X660)
| X658 = esk44_4(X657,X658,X659,X660)
| epred1_4(X660,X659,X658,X657)
| ~ epred2_4(X660,X659,X658,X657) )
& ( X659 = vabs(esk54_4(X657,X658,X659,X660),esk53_4(X657,X658,X659,X660),esk56_4(X657,X658,X659,X660))
| esk47_4(X657,X658,X659,X660) = esk48_4(X657,X658,X659,X660)
| X658 = esk44_4(X657,X658,X659,X660)
| epred1_4(X660,X659,X658,X657)
| ~ epred2_4(X660,X659,X658,X657) )
& ( esk51_4(X657,X658,X659,X660) != esk54_4(X657,X658,X659,X660)
| esk47_4(X657,X658,X659,X660) = esk48_4(X657,X658,X659,X660)
| X658 = esk44_4(X657,X658,X659,X660)
| epred1_4(X660,X659,X658,X657)
| ~ epred2_4(X660,X659,X658,X657) )
& ( visFreeVar(esk54_4(X657,X658,X659,X660),esk52_4(X657,X658,X659,X660))
| esk47_4(X657,X658,X659,X660) = esk48_4(X657,X658,X659,X660)
| X658 = esk44_4(X657,X658,X659,X660)
| epred1_4(X660,X659,X658,X657)
| ~ epred2_4(X660,X659,X658,X657) )
& ( esk55_4(X657,X658,X659,X660) = vgensym(vapp(vapp(esk52_4(X657,X658,X659,X660),esk56_4(X657,X658,X659,X660)),vvar(esk51_4(X657,X658,X659,X660))))
| esk47_4(X657,X658,X659,X660) = esk48_4(X657,X658,X659,X660)
| X658 = esk44_4(X657,X658,X659,X660)
| epred1_4(X660,X659,X658,X657)
| ~ epred2_4(X660,X659,X658,X657) )
& ( X660 = vsubst(esk51_4(X657,X658,X659,X660),esk52_4(X657,X658,X659,X660),vabs(esk55_4(X657,X658,X659,X660),esk53_4(X657,X658,X659,X660),vsubst(esk54_4(X657,X658,X659,X660),vvar(esk55_4(X657,X658,X659,X660)),esk56_4(X657,X658,X659,X660))))
| esk47_4(X657,X658,X659,X660) = esk48_4(X657,X658,X659,X660)
| X658 = esk44_4(X657,X658,X659,X660)
| epred1_4(X660,X659,X658,X657)
| ~ epred2_4(X660,X659,X658,X657) )
& ( X657 = esk51_4(X657,X658,X659,X660)
| X660 = vabs(esk48_4(X657,X658,X659,X660),esk49_4(X657,X658,X659,X660),esk50_4(X657,X658,X659,X660))
| X658 = esk44_4(X657,X658,X659,X660)
| epred1_4(X660,X659,X658,X657)
| ~ epred2_4(X660,X659,X658,X657) )
& ( X658 = esk52_4(X657,X658,X659,X660)
| X660 = vabs(esk48_4(X657,X658,X659,X660),esk49_4(X657,X658,X659,X660),esk50_4(X657,X658,X659,X660))
| X658 = esk44_4(X657,X658,X659,X660)
| epred1_4(X660,X659,X658,X657)
| ~ epred2_4(X660,X659,X658,X657) )
& ( X659 = vabs(esk54_4(X657,X658,X659,X660),esk53_4(X657,X658,X659,X660),esk56_4(X657,X658,X659,X660))
| X660 = vabs(esk48_4(X657,X658,X659,X660),esk49_4(X657,X658,X659,X660),esk50_4(X657,X658,X659,X660))
| X658 = esk44_4(X657,X658,X659,X660)
| epred1_4(X660,X659,X658,X657)
| ~ epred2_4(X660,X659,X658,X657) )
& ( esk51_4(X657,X658,X659,X660) != esk54_4(X657,X658,X659,X660)
| X660 = vabs(esk48_4(X657,X658,X659,X660),esk49_4(X657,X658,X659,X660),esk50_4(X657,X658,X659,X660))
| X658 = esk44_4(X657,X658,X659,X660)
| epred1_4(X660,X659,X658,X657)
| ~ epred2_4(X660,X659,X658,X657) )
& ( visFreeVar(esk54_4(X657,X658,X659,X660),esk52_4(X657,X658,X659,X660))
| X660 = vabs(esk48_4(X657,X658,X659,X660),esk49_4(X657,X658,X659,X660),esk50_4(X657,X658,X659,X660))
| X658 = esk44_4(X657,X658,X659,X660)
| epred1_4(X660,X659,X658,X657)
| ~ epred2_4(X660,X659,X658,X657) )
& ( esk55_4(X657,X658,X659,X660) = vgensym(vapp(vapp(esk52_4(X657,X658,X659,X660),esk56_4(X657,X658,X659,X660)),vvar(esk51_4(X657,X658,X659,X660))))
| X660 = vabs(esk48_4(X657,X658,X659,X660),esk49_4(X657,X658,X659,X660),esk50_4(X657,X658,X659,X660))
| X658 = esk44_4(X657,X658,X659,X660)
| epred1_4(X660,X659,X658,X657)
| ~ epred2_4(X660,X659,X658,X657) )
& ( X660 = vsubst(esk51_4(X657,X658,X659,X660),esk52_4(X657,X658,X659,X660),vabs(esk55_4(X657,X658,X659,X660),esk53_4(X657,X658,X659,X660),vsubst(esk54_4(X657,X658,X659,X660),vvar(esk55_4(X657,X658,X659,X660)),esk56_4(X657,X658,X659,X660))))
| X660 = vabs(esk48_4(X657,X658,X659,X660),esk49_4(X657,X658,X659,X660),esk50_4(X657,X658,X659,X660))
| X658 = esk44_4(X657,X658,X659,X660)
| epred1_4(X660,X659,X658,X657)
| ~ epred2_4(X660,X659,X658,X657) )
& ( X657 = esk51_4(X657,X658,X659,X660)
| X657 = esk47_4(X657,X658,X659,X660)
| X659 = vapp(esk42_4(X657,X658,X659,X660),esk45_4(X657,X658,X659,X660))
| epred1_4(X660,X659,X658,X657)
| ~ epred2_4(X660,X659,X658,X657) )
& ( X658 = esk52_4(X657,X658,X659,X660)
| X657 = esk47_4(X657,X658,X659,X660)
| X659 = vapp(esk42_4(X657,X658,X659,X660),esk45_4(X657,X658,X659,X660))
| epred1_4(X660,X659,X658,X657)
| ~ epred2_4(X660,X659,X658,X657) )
& ( X659 = vabs(esk54_4(X657,X658,X659,X660),esk53_4(X657,X658,X659,X660),esk56_4(X657,X658,X659,X660))
| X657 = esk47_4(X657,X658,X659,X660)
| X659 = vapp(esk42_4(X657,X658,X659,X660),esk45_4(X657,X658,X659,X660))
| epred1_4(X660,X659,X658,X657)
| ~ epred2_4(X660,X659,X658,X657) )
& ( esk51_4(X657,X658,X659,X660) != esk54_4(X657,X658,X659,X660)
| X657 = esk47_4(X657,X658,X659,X660)
| X659 = vapp(esk42_4(X657,X658,X659,X660),esk45_4(X657,X658,X659,X660))
| epred1_4(X660,X659,X658,X657)
| ~ epred2_4(X660,X659,X658,X657) )
& ( visFreeVar(esk54_4(X657,X658,X659,X660),esk52_4(X657,X658,X659,X660))
| X657 = esk47_4(X657,X658,X659,X660)
| X659 = vapp(esk42_4(X657,X658,X659,X660),esk45_4(X657,X658,X659,X660))
| epred1_4(X660,X659,X658,X657)
| ~ epred2_4(X660,X659,X658,X657) )
& ( esk55_4(X657,X658,X659,X660) = vgensym(vapp(vapp(esk52_4(X657,X658,X659,X660),esk56_4(X657,X658,X659,X660)),vvar(esk51_4(X657,X658,X659,X660))))
| X657 = esk47_4(X657,X658,X659,X660)
| X659 = vapp(esk42_4(X657,X658,X659,X660),esk45_4(X657,X658,X659,X660))
| epred1_4(X660,X659,X658,X657)
| ~ epred2_4(X660,X659,X658,X657) )
& ( X660 = vsubst(esk51_4(X657,X658,X659,X660),esk52_4(X657,X658,X659,X660),vabs(esk55_4(X657,X658,X659,X660),esk53_4(X657,X658,X659,X660),vsubst(esk54_4(X657,X658,X659,X660),vvar(esk55_4(X657,X658,X659,X660)),esk56_4(X657,X658,X659,X660))))
| X657 = esk47_4(X657,X658,X659,X660)
| X659 = vapp(esk42_4(X657,X658,X659,X660),esk45_4(X657,X658,X659,X660))
| epred1_4(X660,X659,X658,X657)
| ~ epred2_4(X660,X659,X658,X657) )
& ( X657 = esk51_4(X657,X658,X659,X660)
| X658 = esk46_4(X657,X658,X659,X660)
| X659 = vapp(esk42_4(X657,X658,X659,X660),esk45_4(X657,X658,X659,X660))
| epred1_4(X660,X659,X658,X657)
| ~ epred2_4(X660,X659,X658,X657) )
& ( X658 = esk52_4(X657,X658,X659,X660)
| X658 = esk46_4(X657,X658,X659,X660)
| X659 = vapp(esk42_4(X657,X658,X659,X660),esk45_4(X657,X658,X659,X660))
| epred1_4(X660,X659,X658,X657)
| ~ epred2_4(X660,X659,X658,X657) )
& ( X659 = vabs(esk54_4(X657,X658,X659,X660),esk53_4(X657,X658,X659,X660),esk56_4(X657,X658,X659,X660))
| X658 = esk46_4(X657,X658,X659,X660)
| X659 = vapp(esk42_4(X657,X658,X659,X660),esk45_4(X657,X658,X659,X660))
| epred1_4(X660,X659,X658,X657)
| ~ epred2_4(X660,X659,X658,X657) )
& ( esk51_4(X657,X658,X659,X660) != esk54_4(X657,X658,X659,X660)
| X658 = esk46_4(X657,X658,X659,X660)
| X659 = vapp(esk42_4(X657,X658,X659,X660),esk45_4(X657,X658,X659,X660))
| epred1_4(X660,X659,X658,X657)
| ~ epred2_4(X660,X659,X658,X657) )
& ( visFreeVar(esk54_4(X657,X658,X659,X660),esk52_4(X657,X658,X659,X660))
| X658 = esk46_4(X657,X658,X659,X660)
| X659 = vapp(esk42_4(X657,X658,X659,X660),esk45_4(X657,X658,X659,X660))
| epred1_4(X660,X659,X658,X657)
| ~ epred2_4(X660,X659,X658,X657) )
& ( esk55_4(X657,X658,X659,X660) = vgensym(vapp(vapp(esk52_4(X657,X658,X659,X660),esk56_4(X657,X658,X659,X660)),vvar(esk51_4(X657,X658,X659,X660))))
| X658 = esk46_4(X657,X658,X659,X660)
| X659 = vapp(esk42_4(X657,X658,X659,X660),esk45_4(X657,X658,X659,X660))
| epred1_4(X660,X659,X658,X657)
| ~ epred2_4(X660,X659,X658,X657) )
& ( X660 = vsubst(esk51_4(X657,X658,X659,X660),esk52_4(X657,X658,X659,X660),vabs(esk55_4(X657,X658,X659,X660),esk53_4(X657,X658,X659,X660),vsubst(esk54_4(X657,X658,X659,X660),vvar(esk55_4(X657,X658,X659,X660)),esk56_4(X657,X658,X659,X660))))
| X658 = esk46_4(X657,X658,X659,X660)
| X659 = vapp(esk42_4(X657,X658,X659,X660),esk45_4(X657,X658,X659,X660))
| epred1_4(X660,X659,X658,X657)
| ~ epred2_4(X660,X659,X658,X657) )
& ( X657 = esk51_4(X657,X658,X659,X660)
| X659 = vabs(esk48_4(X657,X658,X659,X660),esk49_4(X657,X658,X659,X660),esk50_4(X657,X658,X659,X660))
| X659 = vapp(esk42_4(X657,X658,X659,X660),esk45_4(X657,X658,X659,X660))
| epred1_4(X660,X659,X658,X657)
| ~ epred2_4(X660,X659,X658,X657) )
& ( X658 = esk52_4(X657,X658,X659,X660)
| X659 = vabs(esk48_4(X657,X658,X659,X660),esk49_4(X657,X658,X659,X660),esk50_4(X657,X658,X659,X660))
| X659 = vapp(esk42_4(X657,X658,X659,X660),esk45_4(X657,X658,X659,X660))
| epred1_4(X660,X659,X658,X657)
| ~ epred2_4(X660,X659,X658,X657) )
& ( X659 = vabs(esk54_4(X657,X658,X659,X660),esk53_4(X657,X658,X659,X660),esk56_4(X657,X658,X659,X660))
| X659 = vabs(esk48_4(X657,X658,X659,X660),esk49_4(X657,X658,X659,X660),esk50_4(X657,X658,X659,X660))
| X659 = vapp(esk42_4(X657,X658,X659,X660),esk45_4(X657,X658,X659,X660))
| epred1_4(X660,X659,X658,X657)
| ~ epred2_4(X660,X659,X658,X657) )
& ( esk51_4(X657,X658,X659,X660) != esk54_4(X657,X658,X659,X660)
| X659 = vabs(esk48_4(X657,X658,X659,X660),esk49_4(X657,X658,X659,X660),esk50_4(X657,X658,X659,X660))
| X659 = vapp(esk42_4(X657,X658,X659,X660),esk45_4(X657,X658,X659,X660))
| epred1_4(X660,X659,X658,X657)
| ~ epred2_4(X660,X659,X658,X657) )
& ( visFreeVar(esk54_4(X657,X658,X659,X660),esk52_4(X657,X658,X659,X660))
| X659 = vabs(esk48_4(X657,X658,X659,X660),esk49_4(X657,X658,X659,X660),esk50_4(X657,X658,X659,X660))
| X659 = vapp(esk42_4(X657,X658,X659,X660),esk45_4(X657,X658,X659,X660))
| epred1_4(X660,X659,X658,X657)
| ~ epred2_4(X660,X659,X658,X657) )
& ( esk55_4(X657,X658,X659,X660) = vgensym(vapp(vapp(esk52_4(X657,X658,X659,X660),esk56_4(X657,X658,X659,X660)),vvar(esk51_4(X657,X658,X659,X660))))
| X659 = vabs(esk48_4(X657,X658,X659,X660),esk49_4(X657,X658,X659,X660),esk50_4(X657,X658,X659,X660))
| X659 = vapp(esk42_4(X657,X658,X659,X660),esk45_4(X657,X658,X659,X660))
| epred1_4(X660,X659,X658,X657)
| ~ epred2_4(X660,X659,X658,X657) )
& ( X660 = vsubst(esk51_4(X657,X658,X659,X660),esk52_4(X657,X658,X659,X660),vabs(esk55_4(X657,X658,X659,X660),esk53_4(X657,X658,X659,X660),vsubst(esk54_4(X657,X658,X659,X660),vvar(esk55_4(X657,X658,X659,X660)),esk56_4(X657,X658,X659,X660))))
| X659 = vabs(esk48_4(X657,X658,X659,X660),esk49_4(X657,X658,X659,X660),esk50_4(X657,X658,X659,X660))
| X659 = vapp(esk42_4(X657,X658,X659,X660),esk45_4(X657,X658,X659,X660))
| epred1_4(X660,X659,X658,X657)
| ~ epred2_4(X660,X659,X658,X657) )
& ( X657 = esk51_4(X657,X658,X659,X660)
| esk47_4(X657,X658,X659,X660) = esk48_4(X657,X658,X659,X660)
| X659 = vapp(esk42_4(X657,X658,X659,X660),esk45_4(X657,X658,X659,X660))
| epred1_4(X660,X659,X658,X657)
| ~ epred2_4(X660,X659,X658,X657) )
& ( X658 = esk52_4(X657,X658,X659,X660)
| esk47_4(X657,X658,X659,X660) = esk48_4(X657,X658,X659,X660)
| X659 = vapp(esk42_4(X657,X658,X659,X660),esk45_4(X657,X658,X659,X660))
| epred1_4(X660,X659,X658,X657)
| ~ epred2_4(X660,X659,X658,X657) )
& ( X659 = vabs(esk54_4(X657,X658,X659,X660),esk53_4(X657,X658,X659,X660),esk56_4(X657,X658,X659,X660))
| esk47_4(X657,X658,X659,X660) = esk48_4(X657,X658,X659,X660)
| X659 = vapp(esk42_4(X657,X658,X659,X660),esk45_4(X657,X658,X659,X660))
| epred1_4(X660,X659,X658,X657)
| ~ epred2_4(X660,X659,X658,X657) )
& ( esk51_4(X657,X658,X659,X660) != esk54_4(X657,X658,X659,X660)
| esk47_4(X657,X658,X659,X660) = esk48_4(X657,X658,X659,X660)
| X659 = vapp(esk42_4(X657,X658,X659,X660),esk45_4(X657,X658,X659,X660))
| epred1_4(X660,X659,X658,X657)
| ~ epred2_4(X660,X659,X658,X657) )
& ( visFreeVar(esk54_4(X657,X658,X659,X660),esk52_4(X657,X658,X659,X660))
| esk47_4(X657,X658,X659,X660) = esk48_4(X657,X658,X659,X660)
| X659 = vapp(esk42_4(X657,X658,X659,X660),esk45_4(X657,X658,X659,X660))
| epred1_4(X660,X659,X658,X657)
| ~ epred2_4(X660,X659,X658,X657) )
& ( esk55_4(X657,X658,X659,X660) = vgensym(vapp(vapp(esk52_4(X657,X658,X659,X660),esk56_4(X657,X658,X659,X660)),vvar(esk51_4(X657,X658,X659,X660))))
| esk47_4(X657,X658,X659,X660) = esk48_4(X657,X658,X659,X660)
| X659 = vapp(esk42_4(X657,X658,X659,X660),esk45_4(X657,X658,X659,X660))
| epred1_4(X660,X659,X658,X657)
| ~ epred2_4(X660,X659,X658,X657) )
& ( X660 = vsubst(esk51_4(X657,X658,X659,X660),esk52_4(X657,X658,X659,X660),vabs(esk55_4(X657,X658,X659,X660),esk53_4(X657,X658,X659,X660),vsubst(esk54_4(X657,X658,X659,X660),vvar(esk55_4(X657,X658,X659,X660)),esk56_4(X657,X658,X659,X660))))
| esk47_4(X657,X658,X659,X660) = esk48_4(X657,X658,X659,X660)
| X659 = vapp(esk42_4(X657,X658,X659,X660),esk45_4(X657,X658,X659,X660))
| epred1_4(X660,X659,X658,X657)
| ~ epred2_4(X660,X659,X658,X657) )
& ( X657 = esk51_4(X657,X658,X659,X660)
| X660 = vabs(esk48_4(X657,X658,X659,X660),esk49_4(X657,X658,X659,X660),esk50_4(X657,X658,X659,X660))
| X659 = vapp(esk42_4(X657,X658,X659,X660),esk45_4(X657,X658,X659,X660))
| epred1_4(X660,X659,X658,X657)
| ~ epred2_4(X660,X659,X658,X657) )
& ( X658 = esk52_4(X657,X658,X659,X660)
| X660 = vabs(esk48_4(X657,X658,X659,X660),esk49_4(X657,X658,X659,X660),esk50_4(X657,X658,X659,X660))
| X659 = vapp(esk42_4(X657,X658,X659,X660),esk45_4(X657,X658,X659,X660))
| epred1_4(X660,X659,X658,X657)
| ~ epred2_4(X660,X659,X658,X657) )
& ( X659 = vabs(esk54_4(X657,X658,X659,X660),esk53_4(X657,X658,X659,X660),esk56_4(X657,X658,X659,X660))
| X660 = vabs(esk48_4(X657,X658,X659,X660),esk49_4(X657,X658,X659,X660),esk50_4(X657,X658,X659,X660))
| X659 = vapp(esk42_4(X657,X658,X659,X660),esk45_4(X657,X658,X659,X660))
| epred1_4(X660,X659,X658,X657)
| ~ epred2_4(X660,X659,X658,X657) )
& ( esk51_4(X657,X658,X659,X660) != esk54_4(X657,X658,X659,X660)
| X660 = vabs(esk48_4(X657,X658,X659,X660),esk49_4(X657,X658,X659,X660),esk50_4(X657,X658,X659,X660))
| X659 = vapp(esk42_4(X657,X658,X659,X660),esk45_4(X657,X658,X659,X660))
| epred1_4(X660,X659,X658,X657)
| ~ epred2_4(X660,X659,X658,X657) )
& ( visFreeVar(esk54_4(X657,X658,X659,X660),esk52_4(X657,X658,X659,X660))
| X660 = vabs(esk48_4(X657,X658,X659,X660),esk49_4(X657,X658,X659,X660),esk50_4(X657,X658,X659,X660))
| X659 = vapp(esk42_4(X657,X658,X659,X660),esk45_4(X657,X658,X659,X660))
| epred1_4(X660,X659,X658,X657)
| ~ epred2_4(X660,X659,X658,X657) )
& ( esk55_4(X657,X658,X659,X660) = vgensym(vapp(vapp(esk52_4(X657,X658,X659,X660),esk56_4(X657,X658,X659,X660)),vvar(esk51_4(X657,X658,X659,X660))))
| X660 = vabs(esk48_4(X657,X658,X659,X660),esk49_4(X657,X658,X659,X660),esk50_4(X657,X658,X659,X660))
| X659 = vapp(esk42_4(X657,X658,X659,X660),esk45_4(X657,X658,X659,X660))
| epred1_4(X660,X659,X658,X657)
| ~ epred2_4(X660,X659,X658,X657) )
& ( X660 = vsubst(esk51_4(X657,X658,X659,X660),esk52_4(X657,X658,X659,X660),vabs(esk55_4(X657,X658,X659,X660),esk53_4(X657,X658,X659,X660),vsubst(esk54_4(X657,X658,X659,X660),vvar(esk55_4(X657,X658,X659,X660)),esk56_4(X657,X658,X659,X660))))
| X660 = vabs(esk48_4(X657,X658,X659,X660),esk49_4(X657,X658,X659,X660),esk50_4(X657,X658,X659,X660))
| X659 = vapp(esk42_4(X657,X658,X659,X660),esk45_4(X657,X658,X659,X660))
| epred1_4(X660,X659,X658,X657)
| ~ epred2_4(X660,X659,X658,X657) )
& ( X657 = esk51_4(X657,X658,X659,X660)
| X657 = esk47_4(X657,X658,X659,X660)
| X660 = vapp(vsubst(esk43_4(X657,X658,X659,X660),esk44_4(X657,X658,X659,X660),esk42_4(X657,X658,X659,X660)),vsubst(esk43_4(X657,X658,X659,X660),esk44_4(X657,X658,X659,X660),esk45_4(X657,X658,X659,X660)))
| epred1_4(X660,X659,X658,X657)
| ~ epred2_4(X660,X659,X658,X657) )
& ( X658 = esk52_4(X657,X658,X659,X660)
| X657 = esk47_4(X657,X658,X659,X660)
| X660 = vapp(vsubst(esk43_4(X657,X658,X659,X660),esk44_4(X657,X658,X659,X660),esk42_4(X657,X658,X659,X660)),vsubst(esk43_4(X657,X658,X659,X660),esk44_4(X657,X658,X659,X660),esk45_4(X657,X658,X659,X660)))
| epred1_4(X660,X659,X658,X657)
| ~ epred2_4(X660,X659,X658,X657) )
& ( X659 = vabs(esk54_4(X657,X658,X659,X660),esk53_4(X657,X658,X659,X660),esk56_4(X657,X658,X659,X660))
| X657 = esk47_4(X657,X658,X659,X660)
| X660 = vapp(vsubst(esk43_4(X657,X658,X659,X660),esk44_4(X657,X658,X659,X660),esk42_4(X657,X658,X659,X660)),vsubst(esk43_4(X657,X658,X659,X660),esk44_4(X657,X658,X659,X660),esk45_4(X657,X658,X659,X660)))
| epred1_4(X660,X659,X658,X657)
| ~ epred2_4(X660,X659,X658,X657) )
& ( esk51_4(X657,X658,X659,X660) != esk54_4(X657,X658,X659,X660)
| X657 = esk47_4(X657,X658,X659,X660)
| X660 = vapp(vsubst(esk43_4(X657,X658,X659,X660),esk44_4(X657,X658,X659,X660),esk42_4(X657,X658,X659,X660)),vsubst(esk43_4(X657,X658,X659,X660),esk44_4(X657,X658,X659,X660),esk45_4(X657,X658,X659,X660)))
| epred1_4(X660,X659,X658,X657)
| ~ epred2_4(X660,X659,X658,X657) )
& ( visFreeVar(esk54_4(X657,X658,X659,X660),esk52_4(X657,X658,X659,X660))
| X657 = esk47_4(X657,X658,X659,X660)
| X660 = vapp(vsubst(esk43_4(X657,X658,X659,X660),esk44_4(X657,X658,X659,X660),esk42_4(X657,X658,X659,X660)),vsubst(esk43_4(X657,X658,X659,X660),esk44_4(X657,X658,X659,X660),esk45_4(X657,X658,X659,X660)))
| epred1_4(X660,X659,X658,X657)
| ~ epred2_4(X660,X659,X658,X657) )
& ( esk55_4(X657,X658,X659,X660) = vgensym(vapp(vapp(esk52_4(X657,X658,X659,X660),esk56_4(X657,X658,X659,X660)),vvar(esk51_4(X657,X658,X659,X660))))
| X657 = esk47_4(X657,X658,X659,X660)
| X660 = vapp(vsubst(esk43_4(X657,X658,X659,X660),esk44_4(X657,X658,X659,X660),esk42_4(X657,X658,X659,X660)),vsubst(esk43_4(X657,X658,X659,X660),esk44_4(X657,X658,X659,X660),esk45_4(X657,X658,X659,X660)))
| epred1_4(X660,X659,X658,X657)
| ~ epred2_4(X660,X659,X658,X657) )
& ( X660 = vsubst(esk51_4(X657,X658,X659,X660),esk52_4(X657,X658,X659,X660),vabs(esk55_4(X657,X658,X659,X660),esk53_4(X657,X658,X659,X660),vsubst(esk54_4(X657,X658,X659,X660),vvar(esk55_4(X657,X658,X659,X660)),esk56_4(X657,X658,X659,X660))))
| X657 = esk47_4(X657,X658,X659,X660)
| X660 = vapp(vsubst(esk43_4(X657,X658,X659,X660),esk44_4(X657,X658,X659,X660),esk42_4(X657,X658,X659,X660)),vsubst(esk43_4(X657,X658,X659,X660),esk44_4(X657,X658,X659,X660),esk45_4(X657,X658,X659,X660)))
| epred1_4(X660,X659,X658,X657)
| ~ epred2_4(X660,X659,X658,X657) )
& ( X657 = esk51_4(X657,X658,X659,X660)
| X658 = esk46_4(X657,X658,X659,X660)
| X660 = vapp(vsubst(esk43_4(X657,X658,X659,X660),esk44_4(X657,X658,X659,X660),esk42_4(X657,X658,X659,X660)),vsubst(esk43_4(X657,X658,X659,X660),esk44_4(X657,X658,X659,X660),esk45_4(X657,X658,X659,X660)))
| epred1_4(X660,X659,X658,X657)
| ~ epred2_4(X660,X659,X658,X657) )
& ( X658 = esk52_4(X657,X658,X659,X660)
| X658 = esk46_4(X657,X658,X659,X660)
| X660 = vapp(vsubst(esk43_4(X657,X658,X659,X660),esk44_4(X657,X658,X659,X660),esk42_4(X657,X658,X659,X660)),vsubst(esk43_4(X657,X658,X659,X660),esk44_4(X657,X658,X659,X660),esk45_4(X657,X658,X659,X660)))
| epred1_4(X660,X659,X658,X657)
| ~ epred2_4(X660,X659,X658,X657) )
& ( X659 = vabs(esk54_4(X657,X658,X659,X660),esk53_4(X657,X658,X659,X660),esk56_4(X657,X658,X659,X660))
| X658 = esk46_4(X657,X658,X659,X660)
| X660 = vapp(vsubst(esk43_4(X657,X658,X659,X660),esk44_4(X657,X658,X659,X660),esk42_4(X657,X658,X659,X660)),vsubst(esk43_4(X657,X658,X659,X660),esk44_4(X657,X658,X659,X660),esk45_4(X657,X658,X659,X660)))
| epred1_4(X660,X659,X658,X657)
| ~ epred2_4(X660,X659,X658,X657) )
& ( esk51_4(X657,X658,X659,X660) != esk54_4(X657,X658,X659,X660)
| X658 = esk46_4(X657,X658,X659,X660)
| X660 = vapp(vsubst(esk43_4(X657,X658,X659,X660),esk44_4(X657,X658,X659,X660),esk42_4(X657,X658,X659,X660)),vsubst(esk43_4(X657,X658,X659,X660),esk44_4(X657,X658,X659,X660),esk45_4(X657,X658,X659,X660)))
| epred1_4(X660,X659,X658,X657)
| ~ epred2_4(X660,X659,X658,X657) )
& ( visFreeVar(esk54_4(X657,X658,X659,X660),esk52_4(X657,X658,X659,X660))
| X658 = esk46_4(X657,X658,X659,X660)
| X660 = vapp(vsubst(esk43_4(X657,X658,X659,X660),esk44_4(X657,X658,X659,X660),esk42_4(X657,X658,X659,X660)),vsubst(esk43_4(X657,X658,X659,X660),esk44_4(X657,X658,X659,X660),esk45_4(X657,X658,X659,X660)))
| epred1_4(X660,X659,X658,X657)
| ~ epred2_4(X660,X659,X658,X657) )
& ( esk55_4(X657,X658,X659,X660) = vgensym(vapp(vapp(esk52_4(X657,X658,X659,X660),esk56_4(X657,X658,X659,X660)),vvar(esk51_4(X657,X658,X659,X660))))
| X658 = esk46_4(X657,X658,X659,X660)
| X660 = vapp(vsubst(esk43_4(X657,X658,X659,X660),esk44_4(X657,X658,X659,X660),esk42_4(X657,X658,X659,X660)),vsubst(esk43_4(X657,X658,X659,X660),esk44_4(X657,X658,X659,X660),esk45_4(X657,X658,X659,X660)))
| epred1_4(X660,X659,X658,X657)
| ~ epred2_4(X660,X659,X658,X657) )
& ( X660 = vsubst(esk51_4(X657,X658,X659,X660),esk52_4(X657,X658,X659,X660),vabs(esk55_4(X657,X658,X659,X660),esk53_4(X657,X658,X659,X660),vsubst(esk54_4(X657,X658,X659,X660),vvar(esk55_4(X657,X658,X659,X660)),esk56_4(X657,X658,X659,X660))))
| X658 = esk46_4(X657,X658,X659,X660)
| X660 = vapp(vsubst(esk43_4(X657,X658,X659,X660),esk44_4(X657,X658,X659,X660),esk42_4(X657,X658,X659,X660)),vsubst(esk43_4(X657,X658,X659,X660),esk44_4(X657,X658,X659,X660),esk45_4(X657,X658,X659,X660)))
| epred1_4(X660,X659,X658,X657)
| ~ epred2_4(X660,X659,X658,X657) )
& ( X657 = esk51_4(X657,X658,X659,X660)
| X659 = vabs(esk48_4(X657,X658,X659,X660),esk49_4(X657,X658,X659,X660),esk50_4(X657,X658,X659,X660))
| X660 = vapp(vsubst(esk43_4(X657,X658,X659,X660),esk44_4(X657,X658,X659,X660),esk42_4(X657,X658,X659,X660)),vsubst(esk43_4(X657,X658,X659,X660),esk44_4(X657,X658,X659,X660),esk45_4(X657,X658,X659,X660)))
| epred1_4(X660,X659,X658,X657)
| ~ epred2_4(X660,X659,X658,X657) )
& ( X658 = esk52_4(X657,X658,X659,X660)
| X659 = vabs(esk48_4(X657,X658,X659,X660),esk49_4(X657,X658,X659,X660),esk50_4(X657,X658,X659,X660))
| X660 = vapp(vsubst(esk43_4(X657,X658,X659,X660),esk44_4(X657,X658,X659,X660),esk42_4(X657,X658,X659,X660)),vsubst(esk43_4(X657,X658,X659,X660),esk44_4(X657,X658,X659,X660),esk45_4(X657,X658,X659,X660)))
| epred1_4(X660,X659,X658,X657)
| ~ epred2_4(X660,X659,X658,X657) )
& ( X659 = vabs(esk54_4(X657,X658,X659,X660),esk53_4(X657,X658,X659,X660),esk56_4(X657,X658,X659,X660))
| X659 = vabs(esk48_4(X657,X658,X659,X660),esk49_4(X657,X658,X659,X660),esk50_4(X657,X658,X659,X660))
| X660 = vapp(vsubst(esk43_4(X657,X658,X659,X660),esk44_4(X657,X658,X659,X660),esk42_4(X657,X658,X659,X660)),vsubst(esk43_4(X657,X658,X659,X660),esk44_4(X657,X658,X659,X660),esk45_4(X657,X658,X659,X660)))
| epred1_4(X660,X659,X658,X657)
| ~ epred2_4(X660,X659,X658,X657) )
& ( esk51_4(X657,X658,X659,X660) != esk54_4(X657,X658,X659,X660)
| X659 = vabs(esk48_4(X657,X658,X659,X660),esk49_4(X657,X658,X659,X660),esk50_4(X657,X658,X659,X660))
| X660 = vapp(vsubst(esk43_4(X657,X658,X659,X660),esk44_4(X657,X658,X659,X660),esk42_4(X657,X658,X659,X660)),vsubst(esk43_4(X657,X658,X659,X660),esk44_4(X657,X658,X659,X660),esk45_4(X657,X658,X659,X660)))
| epred1_4(X660,X659,X658,X657)
| ~ epred2_4(X660,X659,X658,X657) )
& ( visFreeVar(esk54_4(X657,X658,X659,X660),esk52_4(X657,X658,X659,X660))
| X659 = vabs(esk48_4(X657,X658,X659,X660),esk49_4(X657,X658,X659,X660),esk50_4(X657,X658,X659,X660))
| X660 = vapp(vsubst(esk43_4(X657,X658,X659,X660),esk44_4(X657,X658,X659,X660),esk42_4(X657,X658,X659,X660)),vsubst(esk43_4(X657,X658,X659,X660),esk44_4(X657,X658,X659,X660),esk45_4(X657,X658,X659,X660)))
| epred1_4(X660,X659,X658,X657)
| ~ epred2_4(X660,X659,X658,X657) )
& ( esk55_4(X657,X658,X659,X660) = vgensym(vapp(vapp(esk52_4(X657,X658,X659,X660),esk56_4(X657,X658,X659,X660)),vvar(esk51_4(X657,X658,X659,X660))))
| X659 = vabs(esk48_4(X657,X658,X659,X660),esk49_4(X657,X658,X659,X660),esk50_4(X657,X658,X659,X660))
| X660 = vapp(vsubst(esk43_4(X657,X658,X659,X660),esk44_4(X657,X658,X659,X660),esk42_4(X657,X658,X659,X660)),vsubst(esk43_4(X657,X658,X659,X660),esk44_4(X657,X658,X659,X660),esk45_4(X657,X658,X659,X660)))
| epred1_4(X660,X659,X658,X657)
| ~ epred2_4(X660,X659,X658,X657) )
& ( X660 = vsubst(esk51_4(X657,X658,X659,X660),esk52_4(X657,X658,X659,X660),vabs(esk55_4(X657,X658,X659,X660),esk53_4(X657,X658,X659,X660),vsubst(esk54_4(X657,X658,X659,X660),vvar(esk55_4(X657,X658,X659,X660)),esk56_4(X657,X658,X659,X660))))
| X659 = vabs(esk48_4(X657,X658,X659,X660),esk49_4(X657,X658,X659,X660),esk50_4(X657,X658,X659,X660))
| X660 = vapp(vsubst(esk43_4(X657,X658,X659,X660),esk44_4(X657,X658,X659,X660),esk42_4(X657,X658,X659,X660)),vsubst(esk43_4(X657,X658,X659,X660),esk44_4(X657,X658,X659,X660),esk45_4(X657,X658,X659,X660)))
| epred1_4(X660,X659,X658,X657)
| ~ epred2_4(X660,X659,X658,X657) )
& ( X657 = esk51_4(X657,X658,X659,X660)
| esk47_4(X657,X658,X659,X660) = esk48_4(X657,X658,X659,X660)
| X660 = vapp(vsubst(esk43_4(X657,X658,X659,X660),esk44_4(X657,X658,X659,X660),esk42_4(X657,X658,X659,X660)),vsubst(esk43_4(X657,X658,X659,X660),esk44_4(X657,X658,X659,X660),esk45_4(X657,X658,X659,X660)))
| epred1_4(X660,X659,X658,X657)
| ~ epred2_4(X660,X659,X658,X657) )
& ( X658 = esk52_4(X657,X658,X659,X660)
| esk47_4(X657,X658,X659,X660) = esk48_4(X657,X658,X659,X660)
| X660 = vapp(vsubst(esk43_4(X657,X658,X659,X660),esk44_4(X657,X658,X659,X660),esk42_4(X657,X658,X659,X660)),vsubst(esk43_4(X657,X658,X659,X660),esk44_4(X657,X658,X659,X660),esk45_4(X657,X658,X659,X660)))
| epred1_4(X660,X659,X658,X657)
| ~ epred2_4(X660,X659,X658,X657) )
& ( X659 = vabs(esk54_4(X657,X658,X659,X660),esk53_4(X657,X658,X659,X660),esk56_4(X657,X658,X659,X660))
| esk47_4(X657,X658,X659,X660) = esk48_4(X657,X658,X659,X660)
| X660 = vapp(vsubst(esk43_4(X657,X658,X659,X660),esk44_4(X657,X658,X659,X660),esk42_4(X657,X658,X659,X660)),vsubst(esk43_4(X657,X658,X659,X660),esk44_4(X657,X658,X659,X660),esk45_4(X657,X658,X659,X660)))
| epred1_4(X660,X659,X658,X657)
| ~ epred2_4(X660,X659,X658,X657) )
& ( esk51_4(X657,X658,X659,X660) != esk54_4(X657,X658,X659,X660)
| esk47_4(X657,X658,X659,X660) = esk48_4(X657,X658,X659,X660)
| X660 = vapp(vsubst(esk43_4(X657,X658,X659,X660),esk44_4(X657,X658,X659,X660),esk42_4(X657,X658,X659,X660)),vsubst(esk43_4(X657,X658,X659,X660),esk44_4(X657,X658,X659,X660),esk45_4(X657,X658,X659,X660)))
| epred1_4(X660,X659,X658,X657)
| ~ epred2_4(X660,X659,X658,X657) )
& ( visFreeVar(esk54_4(X657,X658,X659,X660),esk52_4(X657,X658,X659,X660))
| esk47_4(X657,X658,X659,X660) = esk48_4(X657,X658,X659,X660)
| X660 = vapp(vsubst(esk43_4(X657,X658,X659,X660),esk44_4(X657,X658,X659,X660),esk42_4(X657,X658,X659,X660)),vsubst(esk43_4(X657,X658,X659,X660),esk44_4(X657,X658,X659,X660),esk45_4(X657,X658,X659,X660)))
| epred1_4(X660,X659,X658,X657)
| ~ epred2_4(X660,X659,X658,X657) )
& ( esk55_4(X657,X658,X659,X660) = vgensym(vapp(vapp(esk52_4(X657,X658,X659,X660),esk56_4(X657,X658,X659,X660)),vvar(esk51_4(X657,X658,X659,X660))))
| esk47_4(X657,X658,X659,X660) = esk48_4(X657,X658,X659,X660)
| X660 = vapp(vsubst(esk43_4(X657,X658,X659,X660),esk44_4(X657,X658,X659,X660),esk42_4(X657,X658,X659,X660)),vsubst(esk43_4(X657,X658,X659,X660),esk44_4(X657,X658,X659,X660),esk45_4(X657,X658,X659,X660)))
| epred1_4(X660,X659,X658,X657)
| ~ epred2_4(X660,X659,X658,X657) )
& ( X660 = vsubst(esk51_4(X657,X658,X659,X660),esk52_4(X657,X658,X659,X660),vabs(esk55_4(X657,X658,X659,X660),esk53_4(X657,X658,X659,X660),vsubst(esk54_4(X657,X658,X659,X660),vvar(esk55_4(X657,X658,X659,X660)),esk56_4(X657,X658,X659,X660))))
| esk47_4(X657,X658,X659,X660) = esk48_4(X657,X658,X659,X660)
| X660 = vapp(vsubst(esk43_4(X657,X658,X659,X660),esk44_4(X657,X658,X659,X660),esk42_4(X657,X658,X659,X660)),vsubst(esk43_4(X657,X658,X659,X660),esk44_4(X657,X658,X659,X660),esk45_4(X657,X658,X659,X660)))
| epred1_4(X660,X659,X658,X657)
| ~ epred2_4(X660,X659,X658,X657) )
& ( X657 = esk51_4(X657,X658,X659,X660)
| X660 = vabs(esk48_4(X657,X658,X659,X660),esk49_4(X657,X658,X659,X660),esk50_4(X657,X658,X659,X660))
| X660 = vapp(vsubst(esk43_4(X657,X658,X659,X660),esk44_4(X657,X658,X659,X660),esk42_4(X657,X658,X659,X660)),vsubst(esk43_4(X657,X658,X659,X660),esk44_4(X657,X658,X659,X660),esk45_4(X657,X658,X659,X660)))
| epred1_4(X660,X659,X658,X657)
| ~ epred2_4(X660,X659,X658,X657) )
& ( X658 = esk52_4(X657,X658,X659,X660)
| X660 = vabs(esk48_4(X657,X658,X659,X660),esk49_4(X657,X658,X659,X660),esk50_4(X657,X658,X659,X660))
| X660 = vapp(vsubst(esk43_4(X657,X658,X659,X660),esk44_4(X657,X658,X659,X660),esk42_4(X657,X658,X659,X660)),vsubst(esk43_4(X657,X658,X659,X660),esk44_4(X657,X658,X659,X660),esk45_4(X657,X658,X659,X660)))
| epred1_4(X660,X659,X658,X657)
| ~ epred2_4(X660,X659,X658,X657) )
& ( X659 = vabs(esk54_4(X657,X658,X659,X660),esk53_4(X657,X658,X659,X660),esk56_4(X657,X658,X659,X660))
| X660 = vabs(esk48_4(X657,X658,X659,X660),esk49_4(X657,X658,X659,X660),esk50_4(X657,X658,X659,X660))
| X660 = vapp(vsubst(esk43_4(X657,X658,X659,X660),esk44_4(X657,X658,X659,X660),esk42_4(X657,X658,X659,X660)),vsubst(esk43_4(X657,X658,X659,X660),esk44_4(X657,X658,X659,X660),esk45_4(X657,X658,X659,X660)))
| epred1_4(X660,X659,X658,X657)
| ~ epred2_4(X660,X659,X658,X657) )
& ( esk51_4(X657,X658,X659,X660) != esk54_4(X657,X658,X659,X660)
| X660 = vabs(esk48_4(X657,X658,X659,X660),esk49_4(X657,X658,X659,X660),esk50_4(X657,X658,X659,X660))
| X660 = vapp(vsubst(esk43_4(X657,X658,X659,X660),esk44_4(X657,X658,X659,X660),esk42_4(X657,X658,X659,X660)),vsubst(esk43_4(X657,X658,X659,X660),esk44_4(X657,X658,X659,X660),esk45_4(X657,X658,X659,X660)))
| epred1_4(X660,X659,X658,X657)
| ~ epred2_4(X660,X659,X658,X657) )
& ( visFreeVar(esk54_4(X657,X658,X659,X660),esk52_4(X657,X658,X659,X660))
| X660 = vabs(esk48_4(X657,X658,X659,X660),esk49_4(X657,X658,X659,X660),esk50_4(X657,X658,X659,X660))
| X660 = vapp(vsubst(esk43_4(X657,X658,X659,X660),esk44_4(X657,X658,X659,X660),esk42_4(X657,X658,X659,X660)),vsubst(esk43_4(X657,X658,X659,X660),esk44_4(X657,X658,X659,X660),esk45_4(X657,X658,X659,X660)))
| epred1_4(X660,X659,X658,X657)
| ~ epred2_4(X660,X659,X658,X657) )
& ( esk55_4(X657,X658,X659,X660) = vgensym(vapp(vapp(esk52_4(X657,X658,X659,X660),esk56_4(X657,X658,X659,X660)),vvar(esk51_4(X657,X658,X659,X660))))
| X660 = vabs(esk48_4(X657,X658,X659,X660),esk49_4(X657,X658,X659,X660),esk50_4(X657,X658,X659,X660))
| X660 = vapp(vsubst(esk43_4(X657,X658,X659,X660),esk44_4(X657,X658,X659,X660),esk42_4(X657,X658,X659,X660)),vsubst(esk43_4(X657,X658,X659,X660),esk44_4(X657,X658,X659,X660),esk45_4(X657,X658,X659,X660)))
| epred1_4(X660,X659,X658,X657)
| ~ epred2_4(X660,X659,X658,X657) )
& ( X660 = vsubst(esk51_4(X657,X658,X659,X660),esk52_4(X657,X658,X659,X660),vabs(esk55_4(X657,X658,X659,X660),esk53_4(X657,X658,X659,X660),vsubst(esk54_4(X657,X658,X659,X660),vvar(esk55_4(X657,X658,X659,X660)),esk56_4(X657,X658,X659,X660))))
| X660 = vabs(esk48_4(X657,X658,X659,X660),esk49_4(X657,X658,X659,X660),esk50_4(X657,X658,X659,X660))
| X660 = vapp(vsubst(esk43_4(X657,X658,X659,X660),esk44_4(X657,X658,X659,X660),esk42_4(X657,X658,X659,X660)),vsubst(esk43_4(X657,X658,X659,X660),esk44_4(X657,X658,X659,X660),esk45_4(X657,X658,X659,X660)))
| epred1_4(X660,X659,X658,X657)
| ~ epred2_4(X660,X659,X658,X657) ) ),
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,
! [X573,X574,X575,X576,X577] :
( X574 != vapp(X573,X577)
| X573 = vabs(esk15_5(X573,X574,X575,X576,X577),esk16_5(X573,X574,X575,X576,X577),esk17_5(X573,X574,X575,X576,X577))
| X576 != vreduce(X573)
| ~ visSomeExp(X576)
| X575 != vreduce(X574)
| X575 = vsomeExp(vapp(vgetSomeExp(X576),X577)) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[reduce5])])]) ).
fof(i_0_82,plain,
! [X526,X527,X528,X529] :
( ( X526 = esk12_4(X526,X527,X528,X529)
| epred2_4(X529,X528,X527,X526)
| vsubst(X526,X527,X528) != X529 )
& ( X527 = esk13_4(X526,X527,X528,X529)
| epred2_4(X529,X528,X527,X526)
| vsubst(X526,X527,X528) != X529 )
& ( X528 = vabs(esk10_4(X526,X527,X528,X529),esk11_4(X526,X527,X528,X529),esk14_4(X526,X527,X528,X529))
| epred2_4(X529,X528,X527,X526)
| vsubst(X526,X527,X528) != X529 )
& ( esk12_4(X526,X527,X528,X529) != esk10_4(X526,X527,X528,X529)
| epred2_4(X529,X528,X527,X526)
| vsubst(X526,X527,X528) != X529 )
& ( ~ visFreeVar(esk10_4(X526,X527,X528,X529),esk13_4(X526,X527,X528,X529))
| epred2_4(X529,X528,X527,X526)
| vsubst(X526,X527,X528) != X529 )
& ( X529 = vabs(esk10_4(X526,X527,X528,X529),esk11_4(X526,X527,X528,X529),vsubst(esk12_4(X526,X527,X528,X529),esk13_4(X526,X527,X528,X529),esk14_4(X526,X527,X528,X529)))
| epred2_4(X529,X528,X527,X526)
| vsubst(X526,X527,X528) != X529 ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_62])])])]) ).
fof(i_0_83,plain,
! [X647,X648,X649,X650] :
( ( X647 = esk40_4(X647,X648,X649,X650)
| X647 = esk36_4(X647,X648,X649,X650)
| ~ epred1_4(X650,X649,X648,X647) )
& ( X648 = esk39_4(X647,X648,X649,X650)
| X647 = esk36_4(X647,X648,X649,X650)
| ~ epred1_4(X650,X649,X648,X647) )
& ( X649 = vvar(esk41_4(X647,X648,X649,X650))
| X647 = esk36_4(X647,X648,X649,X650)
| ~ epred1_4(X650,X649,X648,X647) )
& ( esk40_4(X647,X648,X649,X650) != esk41_4(X647,X648,X649,X650)
| X647 = esk36_4(X647,X648,X649,X650)
| ~ epred1_4(X650,X649,X648,X647) )
& ( X650 = vvar(esk41_4(X647,X648,X649,X650))
| X647 = esk36_4(X647,X648,X649,X650)
| ~ epred1_4(X650,X649,X648,X647) )
& ( X647 = esk40_4(X647,X648,X649,X650)
| X648 = esk38_4(X647,X648,X649,X650)
| ~ epred1_4(X650,X649,X648,X647) )
& ( X648 = esk39_4(X647,X648,X649,X650)
| X648 = esk38_4(X647,X648,X649,X650)
| ~ epred1_4(X650,X649,X648,X647) )
& ( X649 = vvar(esk41_4(X647,X648,X649,X650))
| X648 = esk38_4(X647,X648,X649,X650)
| ~ epred1_4(X650,X649,X648,X647) )
& ( esk40_4(X647,X648,X649,X650) != esk41_4(X647,X648,X649,X650)
| X648 = esk38_4(X647,X648,X649,X650)
| ~ epred1_4(X650,X649,X648,X647) )
& ( X650 = vvar(esk41_4(X647,X648,X649,X650))
| X648 = esk38_4(X647,X648,X649,X650)
| ~ epred1_4(X650,X649,X648,X647) )
& ( X647 = esk40_4(X647,X648,X649,X650)
| X649 = vvar(esk37_4(X647,X648,X649,X650))
| ~ epred1_4(X650,X649,X648,X647) )
& ( X648 = esk39_4(X647,X648,X649,X650)
| X649 = vvar(esk37_4(X647,X648,X649,X650))
| ~ epred1_4(X650,X649,X648,X647) )
& ( X649 = vvar(esk41_4(X647,X648,X649,X650))
| X649 = vvar(esk37_4(X647,X648,X649,X650))
| ~ epred1_4(X650,X649,X648,X647) )
& ( esk40_4(X647,X648,X649,X650) != esk41_4(X647,X648,X649,X650)
| X649 = vvar(esk37_4(X647,X648,X649,X650))
| ~ epred1_4(X650,X649,X648,X647) )
& ( X650 = vvar(esk41_4(X647,X648,X649,X650))
| X649 = vvar(esk37_4(X647,X648,X649,X650))
| ~ epred1_4(X650,X649,X648,X647) )
& ( X647 = esk40_4(X647,X648,X649,X650)
| esk36_4(X647,X648,X649,X650) = esk37_4(X647,X648,X649,X650)
| ~ epred1_4(X650,X649,X648,X647) )
& ( X648 = esk39_4(X647,X648,X649,X650)
| esk36_4(X647,X648,X649,X650) = esk37_4(X647,X648,X649,X650)
| ~ epred1_4(X650,X649,X648,X647) )
& ( X649 = vvar(esk41_4(X647,X648,X649,X650))
| esk36_4(X647,X648,X649,X650) = esk37_4(X647,X648,X649,X650)
| ~ epred1_4(X650,X649,X648,X647) )
& ( esk40_4(X647,X648,X649,X650) != esk41_4(X647,X648,X649,X650)
| esk36_4(X647,X648,X649,X650) = esk37_4(X647,X648,X649,X650)
| ~ epred1_4(X650,X649,X648,X647) )
& ( X650 = vvar(esk41_4(X647,X648,X649,X650))
| esk36_4(X647,X648,X649,X650) = esk37_4(X647,X648,X649,X650)
| ~ epred1_4(X650,X649,X648,X647) )
& ( X647 = esk40_4(X647,X648,X649,X650)
| X650 = esk38_4(X647,X648,X649,X650)
| ~ epred1_4(X650,X649,X648,X647) )
& ( X648 = esk39_4(X647,X648,X649,X650)
| X650 = esk38_4(X647,X648,X649,X650)
| ~ epred1_4(X650,X649,X648,X647) )
& ( X649 = vvar(esk41_4(X647,X648,X649,X650))
| X650 = esk38_4(X647,X648,X649,X650)
| ~ epred1_4(X650,X649,X648,X647) )
& ( esk40_4(X647,X648,X649,X650) != esk41_4(X647,X648,X649,X650)
| X650 = esk38_4(X647,X648,X649,X650)
| ~ epred1_4(X650,X649,X648,X647) )
& ( X650 = vvar(esk41_4(X647,X648,X649,X650))
| X650 = esk38_4(X647,X648,X649,X650)
| ~ epred1_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_63])])])]) ).
fof(i_0_84,plain,
! [X581,X582,X583,X584,X588] :
( X584 != vapp(X582,X581)
| X582 = vabs(esk18_4(X581,X582,X583,X584),esk19_4(X581,X582,X583,X584),esk20_4(X581,X582,X583,X584))
| X583 != vreduce(X582)
| visSomeExp(X583)
| X588 != vreduce(X584)
| X588 = 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_64])])])])]) ).
fof(i_0_85,plain,
! [X614,X615,X616] :
( ( X614 = vapp(esk29_3(X614,X615,X616),esk30_3(X614,X615,X616))
| X614 = vabs(esk25_3(X614,X615,X616),esk27_3(X614,X615,X616),esk26_3(X614,X615,X616))
| X614 = vvar(esk24_3(X614,X615,X616))
| ~ vtcheck(X616,X614,X615) )
& ( vtcheck(X616,esk29_3(X614,X615,X616),varrow(esk31_3(X614,X615,X616),X615))
| X614 = vabs(esk25_3(X614,X615,X616),esk27_3(X614,X615,X616),esk26_3(X614,X615,X616))
| X614 = vvar(esk24_3(X614,X615,X616))
| ~ vtcheck(X616,X614,X615) )
& ( vtcheck(X616,esk30_3(X614,X615,X616),esk31_3(X614,X615,X616))
| X614 = vabs(esk25_3(X614,X615,X616),esk27_3(X614,X615,X616),esk26_3(X614,X615,X616))
| X614 = vvar(esk24_3(X614,X615,X616))
| ~ vtcheck(X616,X614,X615) )
& ( X614 = vapp(esk29_3(X614,X615,X616),esk30_3(X614,X615,X616))
| X615 = varrow(esk27_3(X614,X615,X616),esk28_3(X614,X615,X616))
| X614 = vvar(esk24_3(X614,X615,X616))
| ~ vtcheck(X616,X614,X615) )
& ( vtcheck(X616,esk29_3(X614,X615,X616),varrow(esk31_3(X614,X615,X616),X615))
| X615 = varrow(esk27_3(X614,X615,X616),esk28_3(X614,X615,X616))
| X614 = vvar(esk24_3(X614,X615,X616))
| ~ vtcheck(X616,X614,X615) )
& ( vtcheck(X616,esk30_3(X614,X615,X616),esk31_3(X614,X615,X616))
| X615 = varrow(esk27_3(X614,X615,X616),esk28_3(X614,X615,X616))
| X614 = vvar(esk24_3(X614,X615,X616))
| ~ vtcheck(X616,X614,X615) )
& ( X614 = vapp(esk29_3(X614,X615,X616),esk30_3(X614,X615,X616))
| vtcheck(vbind(esk25_3(X614,X615,X616),esk27_3(X614,X615,X616),X616),esk26_3(X614,X615,X616),esk28_3(X614,X615,X616))
| X614 = vvar(esk24_3(X614,X615,X616))
| ~ vtcheck(X616,X614,X615) )
& ( vtcheck(X616,esk29_3(X614,X615,X616),varrow(esk31_3(X614,X615,X616),X615))
| vtcheck(vbind(esk25_3(X614,X615,X616),esk27_3(X614,X615,X616),X616),esk26_3(X614,X615,X616),esk28_3(X614,X615,X616))
| X614 = vvar(esk24_3(X614,X615,X616))
| ~ vtcheck(X616,X614,X615) )
& ( vtcheck(X616,esk30_3(X614,X615,X616),esk31_3(X614,X615,X616))
| vtcheck(vbind(esk25_3(X614,X615,X616),esk27_3(X614,X615,X616),X616),esk26_3(X614,X615,X616),esk28_3(X614,X615,X616))
| X614 = vvar(esk24_3(X614,X615,X616))
| ~ vtcheck(X616,X614,X615) )
& ( X614 = vapp(esk29_3(X614,X615,X616),esk30_3(X614,X615,X616))
| X614 = vabs(esk25_3(X614,X615,X616),esk27_3(X614,X615,X616),esk26_3(X614,X615,X616))
| vlookup(esk24_3(X614,X615,X616),X616) = vsomeType(X615)
| ~ vtcheck(X616,X614,X615) )
& ( vtcheck(X616,esk29_3(X614,X615,X616),varrow(esk31_3(X614,X615,X616),X615))
| X614 = vabs(esk25_3(X614,X615,X616),esk27_3(X614,X615,X616),esk26_3(X614,X615,X616))
| vlookup(esk24_3(X614,X615,X616),X616) = vsomeType(X615)
| ~ vtcheck(X616,X614,X615) )
& ( vtcheck(X616,esk30_3(X614,X615,X616),esk31_3(X614,X615,X616))
| X614 = vabs(esk25_3(X614,X615,X616),esk27_3(X614,X615,X616),esk26_3(X614,X615,X616))
| vlookup(esk24_3(X614,X615,X616),X616) = vsomeType(X615)
| ~ vtcheck(X616,X614,X615) )
& ( X614 = vapp(esk29_3(X614,X615,X616),esk30_3(X614,X615,X616))
| X615 = varrow(esk27_3(X614,X615,X616),esk28_3(X614,X615,X616))
| vlookup(esk24_3(X614,X615,X616),X616) = vsomeType(X615)
| ~ vtcheck(X616,X614,X615) )
& ( vtcheck(X616,esk29_3(X614,X615,X616),varrow(esk31_3(X614,X615,X616),X615))
| X615 = varrow(esk27_3(X614,X615,X616),esk28_3(X614,X615,X616))
| vlookup(esk24_3(X614,X615,X616),X616) = vsomeType(X615)
| ~ vtcheck(X616,X614,X615) )
& ( vtcheck(X616,esk30_3(X614,X615,X616),esk31_3(X614,X615,X616))
| X615 = varrow(esk27_3(X614,X615,X616),esk28_3(X614,X615,X616))
| vlookup(esk24_3(X614,X615,X616),X616) = vsomeType(X615)
| ~ vtcheck(X616,X614,X615) )
& ( X614 = vapp(esk29_3(X614,X615,X616),esk30_3(X614,X615,X616))
| vtcheck(vbind(esk25_3(X614,X615,X616),esk27_3(X614,X615,X616),X616),esk26_3(X614,X615,X616),esk28_3(X614,X615,X616))
| vlookup(esk24_3(X614,X615,X616),X616) = vsomeType(X615)
| ~ vtcheck(X616,X614,X615) )
& ( vtcheck(X616,esk29_3(X614,X615,X616),varrow(esk31_3(X614,X615,X616),X615))
| vtcheck(vbind(esk25_3(X614,X615,X616),esk27_3(X614,X615,X616),X616),esk26_3(X614,X615,X616),esk28_3(X614,X615,X616))
| vlookup(esk24_3(X614,X615,X616),X616) = vsomeType(X615)
| ~ vtcheck(X616,X614,X615) )
& ( vtcheck(X616,esk30_3(X614,X615,X616),esk31_3(X614,X615,X616))
| vtcheck(vbind(esk25_3(X614,X615,X616),esk27_3(X614,X615,X616),X616),esk26_3(X614,X615,X616),esk28_3(X614,X615,X616))
| vlookup(esk24_3(X614,X615,X616),X616) = vsomeType(X615)
| ~ vtcheck(X616,X614,X615) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['T-inv'])])])]) ).
cnf(i_0_86,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_65]) ).
fof(i_0_87,plain,
! [X467,X468,X469,X470,X471,X472,X473] :
( X469 = X467
| ~ vtcheck(vbind(X469,X470,vbind(X467,X468,X471)),X472,X473)
| vtcheck(vbind(X467,X468,vbind(X469,X470,X471)),X472,X473) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['T-Context-Swap'])]) ).
cnf(i_0_88,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_65]) ).
fof(i_0_89,plain,
! [X448,X449,X450] :
( ( X448 = esk8_3(X448,X449,X450)
| X448 = esk3_3(X448,X449,X450)
| X448 = esk1_3(X448,X449,X450)
| vlookup(X448,X449) != X450 )
& ( X449 = vbind(esk7_3(X448,X449,X450),esk6_3(X448,X449,X450),esk9_3(X448,X449,X450))
| X448 = esk3_3(X448,X449,X450)
| X448 = esk1_3(X448,X449,X450)
| vlookup(X448,X449) != X450 )
& ( esk8_3(X448,X449,X450) != esk7_3(X448,X449,X450)
| X448 = esk3_3(X448,X449,X450)
| X448 = esk1_3(X448,X449,X450)
| vlookup(X448,X449) != X450 )
& ( X450 = vlookup(esk8_3(X448,X449,X450),esk9_3(X448,X449,X450))
| X448 = esk3_3(X448,X449,X450)
| X448 = esk1_3(X448,X449,X450)
| vlookup(X448,X449) != X450 )
& ( X448 = esk8_3(X448,X449,X450)
| X449 = vbind(esk4_3(X448,X449,X450),esk5_3(X448,X449,X450),esk2_3(X448,X449,X450))
| X448 = esk1_3(X448,X449,X450)
| vlookup(X448,X449) != X450 )
& ( X449 = vbind(esk7_3(X448,X449,X450),esk6_3(X448,X449,X450),esk9_3(X448,X449,X450))
| X449 = vbind(esk4_3(X448,X449,X450),esk5_3(X448,X449,X450),esk2_3(X448,X449,X450))
| X448 = esk1_3(X448,X449,X450)
| vlookup(X448,X449) != X450 )
& ( esk8_3(X448,X449,X450) != esk7_3(X448,X449,X450)
| X449 = vbind(esk4_3(X448,X449,X450),esk5_3(X448,X449,X450),esk2_3(X448,X449,X450))
| X448 = esk1_3(X448,X449,X450)
| vlookup(X448,X449) != X450 )
& ( X450 = vlookup(esk8_3(X448,X449,X450),esk9_3(X448,X449,X450))
| X449 = vbind(esk4_3(X448,X449,X450),esk5_3(X448,X449,X450),esk2_3(X448,X449,X450))
| X448 = esk1_3(X448,X449,X450)
| vlookup(X448,X449) != X450 )
& ( X448 = esk8_3(X448,X449,X450)
| esk3_3(X448,X449,X450) = esk4_3(X448,X449,X450)
| X448 = esk1_3(X448,X449,X450)
| vlookup(X448,X449) != X450 )
& ( X449 = vbind(esk7_3(X448,X449,X450),esk6_3(X448,X449,X450),esk9_3(X448,X449,X450))
| esk3_3(X448,X449,X450) = esk4_3(X448,X449,X450)
| X448 = esk1_3(X448,X449,X450)
| vlookup(X448,X449) != X450 )
& ( esk8_3(X448,X449,X450) != esk7_3(X448,X449,X450)
| esk3_3(X448,X449,X450) = esk4_3(X448,X449,X450)
| X448 = esk1_3(X448,X449,X450)
| vlookup(X448,X449) != X450 )
& ( X450 = vlookup(esk8_3(X448,X449,X450),esk9_3(X448,X449,X450))
| esk3_3(X448,X449,X450) = esk4_3(X448,X449,X450)
| X448 = esk1_3(X448,X449,X450)
| vlookup(X448,X449) != X450 )
& ( X448 = esk8_3(X448,X449,X450)
| X450 = vsomeType(esk5_3(X448,X449,X450))
| X448 = esk1_3(X448,X449,X450)
| vlookup(X448,X449) != X450 )
& ( X449 = vbind(esk7_3(X448,X449,X450),esk6_3(X448,X449,X450),esk9_3(X448,X449,X450))
| X450 = vsomeType(esk5_3(X448,X449,X450))
| X448 = esk1_3(X448,X449,X450)
| vlookup(X448,X449) != X450 )
& ( esk8_3(X448,X449,X450) != esk7_3(X448,X449,X450)
| X450 = vsomeType(esk5_3(X448,X449,X450))
| X448 = esk1_3(X448,X449,X450)
| vlookup(X448,X449) != X450 )
& ( X450 = vlookup(esk8_3(X448,X449,X450),esk9_3(X448,X449,X450))
| X450 = vsomeType(esk5_3(X448,X449,X450))
| X448 = esk1_3(X448,X449,X450)
| vlookup(X448,X449) != X450 )
& ( X448 = esk8_3(X448,X449,X450)
| X448 = esk3_3(X448,X449,X450)
| X449 = vempty
| vlookup(X448,X449) != X450 )
& ( X449 = vbind(esk7_3(X448,X449,X450),esk6_3(X448,X449,X450),esk9_3(X448,X449,X450))
| X448 = esk3_3(X448,X449,X450)
| X449 = vempty
| vlookup(X448,X449) != X450 )
& ( esk8_3(X448,X449,X450) != esk7_3(X448,X449,X450)
| X448 = esk3_3(X448,X449,X450)
| X449 = vempty
| vlookup(X448,X449) != X450 )
& ( X450 = vlookup(esk8_3(X448,X449,X450),esk9_3(X448,X449,X450))
| X448 = esk3_3(X448,X449,X450)
| X449 = vempty
| vlookup(X448,X449) != X450 )
& ( X448 = esk8_3(X448,X449,X450)
| X449 = vbind(esk4_3(X448,X449,X450),esk5_3(X448,X449,X450),esk2_3(X448,X449,X450))
| X449 = vempty
| vlookup(X448,X449) != X450 )
& ( X449 = vbind(esk7_3(X448,X449,X450),esk6_3(X448,X449,X450),esk9_3(X448,X449,X450))
| X449 = vbind(esk4_3(X448,X449,X450),esk5_3(X448,X449,X450),esk2_3(X448,X449,X450))
| X449 = vempty
| vlookup(X448,X449) != X450 )
& ( esk8_3(X448,X449,X450) != esk7_3(X448,X449,X450)
| X449 = vbind(esk4_3(X448,X449,X450),esk5_3(X448,X449,X450),esk2_3(X448,X449,X450))
| X449 = vempty
| vlookup(X448,X449) != X450 )
& ( X450 = vlookup(esk8_3(X448,X449,X450),esk9_3(X448,X449,X450))
| X449 = vbind(esk4_3(X448,X449,X450),esk5_3(X448,X449,X450),esk2_3(X448,X449,X450))
| X449 = vempty
| vlookup(X448,X449) != X450 )
& ( X448 = esk8_3(X448,X449,X450)
| esk3_3(X448,X449,X450) = esk4_3(X448,X449,X450)
| X449 = vempty
| vlookup(X448,X449) != X450 )
& ( X449 = vbind(esk7_3(X448,X449,X450),esk6_3(X448,X449,X450),esk9_3(X448,X449,X450))
| esk3_3(X448,X449,X450) = esk4_3(X448,X449,X450)
| X449 = vempty
| vlookup(X448,X449) != X450 )
& ( esk8_3(X448,X449,X450) != esk7_3(X448,X449,X450)
| esk3_3(X448,X449,X450) = esk4_3(X448,X449,X450)
| X449 = vempty
| vlookup(X448,X449) != X450 )
& ( X450 = vlookup(esk8_3(X448,X449,X450),esk9_3(X448,X449,X450))
| esk3_3(X448,X449,X450) = esk4_3(X448,X449,X450)
| X449 = vempty
| vlookup(X448,X449) != X450 )
& ( X448 = esk8_3(X448,X449,X450)
| X450 = vsomeType(esk5_3(X448,X449,X450))
| X449 = vempty
| vlookup(X448,X449) != X450 )
& ( X449 = vbind(esk7_3(X448,X449,X450),esk6_3(X448,X449,X450),esk9_3(X448,X449,X450))
| X450 = vsomeType(esk5_3(X448,X449,X450))
| X449 = vempty
| vlookup(X448,X449) != X450 )
& ( esk8_3(X448,X449,X450) != esk7_3(X448,X449,X450)
| X450 = vsomeType(esk5_3(X448,X449,X450))
| X449 = vempty
| vlookup(X448,X449) != X450 )
& ( X450 = vlookup(esk8_3(X448,X449,X450),esk9_3(X448,X449,X450))
| X450 = vsomeType(esk5_3(X448,X449,X450))
| X449 = vempty
| vlookup(X448,X449) != X450 )
& ( X448 = esk8_3(X448,X449,X450)
| X448 = esk3_3(X448,X449,X450)
| X450 = vnoType
| vlookup(X448,X449) != X450 )
& ( X449 = vbind(esk7_3(X448,X449,X450),esk6_3(X448,X449,X450),esk9_3(X448,X449,X450))
| X448 = esk3_3(X448,X449,X450)
| X450 = vnoType
| vlookup(X448,X449) != X450 )
& ( esk8_3(X448,X449,X450) != esk7_3(X448,X449,X450)
| X448 = esk3_3(X448,X449,X450)
| X450 = vnoType
| vlookup(X448,X449) != X450 )
& ( X450 = vlookup(esk8_3(X448,X449,X450),esk9_3(X448,X449,X450))
| X448 = esk3_3(X448,X449,X450)
| X450 = vnoType
| vlookup(X448,X449) != X450 )
& ( X448 = esk8_3(X448,X449,X450)
| X449 = vbind(esk4_3(X448,X449,X450),esk5_3(X448,X449,X450),esk2_3(X448,X449,X450))
| X450 = vnoType
| vlookup(X448,X449) != X450 )
& ( X449 = vbind(esk7_3(X448,X449,X450),esk6_3(X448,X449,X450),esk9_3(X448,X449,X450))
| X449 = vbind(esk4_3(X448,X449,X450),esk5_3(X448,X449,X450),esk2_3(X448,X449,X450))
| X450 = vnoType
| vlookup(X448,X449) != X450 )
& ( esk8_3(X448,X449,X450) != esk7_3(X448,X449,X450)
| X449 = vbind(esk4_3(X448,X449,X450),esk5_3(X448,X449,X450),esk2_3(X448,X449,X450))
| X450 = vnoType
| vlookup(X448,X449) != X450 )
& ( X450 = vlookup(esk8_3(X448,X449,X450),esk9_3(X448,X449,X450))
| X449 = vbind(esk4_3(X448,X449,X450),esk5_3(X448,X449,X450),esk2_3(X448,X449,X450))
| X450 = vnoType
| vlookup(X448,X449) != X450 )
& ( X448 = esk8_3(X448,X449,X450)
| esk3_3(X448,X449,X450) = esk4_3(X448,X449,X450)
| X450 = vnoType
| vlookup(X448,X449) != X450 )
& ( X449 = vbind(esk7_3(X448,X449,X450),esk6_3(X448,X449,X450),esk9_3(X448,X449,X450))
| esk3_3(X448,X449,X450) = esk4_3(X448,X449,X450)
| X450 = vnoType
| vlookup(X448,X449) != X450 )
& ( esk8_3(X448,X449,X450) != esk7_3(X448,X449,X450)
| esk3_3(X448,X449,X450) = esk4_3(X448,X449,X450)
| X450 = vnoType
| vlookup(X448,X449) != X450 )
& ( X450 = vlookup(esk8_3(X448,X449,X450),esk9_3(X448,X449,X450))
| esk3_3(X448,X449,X450) = esk4_3(X448,X449,X450)
| X450 = vnoType
| vlookup(X448,X449) != X450 )
& ( X448 = esk8_3(X448,X449,X450)
| X450 = vsomeType(esk5_3(X448,X449,X450))
| X450 = vnoType
| vlookup(X448,X449) != X450 )
& ( X449 = vbind(esk7_3(X448,X449,X450),esk6_3(X448,X449,X450),esk9_3(X448,X449,X450))
| X450 = vsomeType(esk5_3(X448,X449,X450))
| X450 = vnoType
| vlookup(X448,X449) != X450 )
& ( esk8_3(X448,X449,X450) != esk7_3(X448,X449,X450)
| X450 = vsomeType(esk5_3(X448,X449,X450))
| X450 = vnoType
| vlookup(X448,X449) != X450 )
& ( X450 = vlookup(esk8_3(X448,X449,X450),esk9_3(X448,X449,X450))
| X450 = vsomeType(esk5_3(X448,X449,X450))
| X450 = vnoType
| vlookup(X448,X449) != X450 ) ),
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_90,plain,
! [X507,X508,X509,X510,X511,X512,X513,X514,X515,X516] :
( X507 != X511
| X508 != X512
| X509 != vabs(X514,X513,X516)
| X511 = X514
| ~ visFreeVar(X514,X512)
| X515 != vgensym(vapp(vapp(X512,X516),vvar(X511)))
| X510 != vsubst(X507,X508,X509)
| X510 = vsubst(X511,X512,vabs(X515,X513,vsubst(X514,vvar(X515),X516))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[subst4])]) ).
fof(i_0_91,plain,
! [X460,X461,X462,X463,X464,X465,X466] :
( X462 != X460
| ~ vtcheck(vbind(X462,X463,vbind(X460,X461,X464)),X465,X466)
| vtcheck(vbind(X462,X463,X464),X465,X466) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['T-Context-Duplicate'])]) ).
cnf(i_0_92,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_65]) ).
cnf(i_0_93,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_65]) ).
cnf(i_0_94,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_65]) ).
cnf(i_0_95,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_65]) ).
cnf(i_0_96,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_65]) ).
fof(i_0_97,plain,
! [X692,X693,X702,X703,X704] :
( ( X692 = vapp(esk76_2(X692,X693),esk78_2(X692,X693))
| X692 = vapp(vabs(esk71_2(X692,X693),esk72_2(X692,X693),esk73_2(X692,X693)),esk75_2(X692,X693))
| epred3_2(X693,X692)
| ~ epred4_2(X693,X692) )
& ( esk76_2(X692,X693) != vabs(X702,X703,X704)
| X692 = vapp(vabs(esk71_2(X692,X693),esk72_2(X692,X693),esk73_2(X692,X693)),esk75_2(X692,X693))
| epred3_2(X693,X692)
| ~ epred4_2(X693,X692) )
& ( esk77_2(X692,X693) = vreduce(esk76_2(X692,X693))
| X692 = vapp(vabs(esk71_2(X692,X693),esk72_2(X692,X693),esk73_2(X692,X693)),esk75_2(X692,X693))
| epred3_2(X693,X692)
| ~ epred4_2(X693,X692) )
& ( visSomeExp(esk77_2(X692,X693))
| X692 = vapp(vabs(esk71_2(X692,X693),esk72_2(X692,X693),esk73_2(X692,X693)),esk75_2(X692,X693))
| epred3_2(X693,X692)
| ~ epred4_2(X693,X692) )
& ( X693 = vsomeExp(vapp(vgetSomeExp(esk77_2(X692,X693)),esk78_2(X692,X693)))
| X692 = vapp(vabs(esk71_2(X692,X693),esk72_2(X692,X693),esk73_2(X692,X693)),esk75_2(X692,X693))
| epred3_2(X693,X692)
| ~ epred4_2(X693,X692) )
& ( X692 = vapp(esk76_2(X692,X693),esk78_2(X692,X693))
| esk74_2(X692,X693) = vreduce(esk75_2(X692,X693))
| epred3_2(X693,X692)
| ~ epred4_2(X693,X692) )
& ( esk76_2(X692,X693) != vabs(X702,X703,X704)
| esk74_2(X692,X693) = vreduce(esk75_2(X692,X693))
| epred3_2(X693,X692)
| ~ epred4_2(X693,X692) )
& ( esk77_2(X692,X693) = vreduce(esk76_2(X692,X693))
| esk74_2(X692,X693) = vreduce(esk75_2(X692,X693))
| epred3_2(X693,X692)
| ~ epred4_2(X693,X692) )
& ( visSomeExp(esk77_2(X692,X693))
| esk74_2(X692,X693) = vreduce(esk75_2(X692,X693))
| epred3_2(X693,X692)
| ~ epred4_2(X693,X692) )
& ( X693 = vsomeExp(vapp(vgetSomeExp(esk77_2(X692,X693)),esk78_2(X692,X693)))
| esk74_2(X692,X693) = vreduce(esk75_2(X692,X693))
| epred3_2(X693,X692)
| ~ epred4_2(X693,X692) )
& ( X692 = vapp(esk76_2(X692,X693),esk78_2(X692,X693))
| ~ visSomeExp(esk74_2(X692,X693))
| epred3_2(X693,X692)
| ~ epred4_2(X693,X692) )
& ( esk76_2(X692,X693) != vabs(X702,X703,X704)
| ~ visSomeExp(esk74_2(X692,X693))
| epred3_2(X693,X692)
| ~ epred4_2(X693,X692) )
& ( esk77_2(X692,X693) = vreduce(esk76_2(X692,X693))
| ~ visSomeExp(esk74_2(X692,X693))
| epred3_2(X693,X692)
| ~ epred4_2(X693,X692) )
& ( visSomeExp(esk77_2(X692,X693))
| ~ visSomeExp(esk74_2(X692,X693))
| epred3_2(X693,X692)
| ~ epred4_2(X693,X692) )
& ( X693 = vsomeExp(vapp(vgetSomeExp(esk77_2(X692,X693)),esk78_2(X692,X693)))
| ~ visSomeExp(esk74_2(X692,X693))
| epred3_2(X693,X692)
| ~ epred4_2(X693,X692) )
& ( X692 = vapp(esk76_2(X692,X693),esk78_2(X692,X693))
| ~ visValue(esk75_2(X692,X693))
| epred3_2(X693,X692)
| ~ epred4_2(X693,X692) )
& ( esk76_2(X692,X693) != vabs(X702,X703,X704)
| ~ visValue(esk75_2(X692,X693))
| epred3_2(X693,X692)
| ~ epred4_2(X693,X692) )
& ( esk77_2(X692,X693) = vreduce(esk76_2(X692,X693))
| ~ visValue(esk75_2(X692,X693))
| epred3_2(X693,X692)
| ~ epred4_2(X693,X692) )
& ( visSomeExp(esk77_2(X692,X693))
| ~ visValue(esk75_2(X692,X693))
| epred3_2(X693,X692)
| ~ epred4_2(X693,X692) )
& ( X693 = vsomeExp(vapp(vgetSomeExp(esk77_2(X692,X693)),esk78_2(X692,X693)))
| ~ visValue(esk75_2(X692,X693))
| epred3_2(X693,X692)
| ~ epred4_2(X693,X692) )
& ( X692 = vapp(esk76_2(X692,X693),esk78_2(X692,X693))
| X693 = vnoExp
| epred3_2(X693,X692)
| ~ epred4_2(X693,X692) )
& ( esk76_2(X692,X693) != vabs(X702,X703,X704)
| X693 = vnoExp
| epred3_2(X693,X692)
| ~ epred4_2(X693,X692) )
& ( esk77_2(X692,X693) = vreduce(esk76_2(X692,X693))
| X693 = vnoExp
| epred3_2(X693,X692)
| ~ epred4_2(X693,X692) )
& ( visSomeExp(esk77_2(X692,X693))
| X693 = vnoExp
| epred3_2(X693,X692)
| ~ epred4_2(X693,X692) )
& ( X693 = vsomeExp(vapp(vgetSomeExp(esk77_2(X692,X693)),esk78_2(X692,X693)))
| X693 = vnoExp
| epred3_2(X693,X692)
| ~ epred4_2(X693,X692) ) ),
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_66])])])])])]) ).
fof(i_0_98,plain,
! [X552,X553,X554,X555,X556,X557,X558] :
( X553 != vapp(vabs(X555,X556,X557),X552)
| X558 != vreduce(X552)
| ~ visSomeExp(X558)
| X554 != vreduce(X553)
| X554 = vsomeExp(vapp(vabs(X555,X556,X557),vgetSomeExp(X558))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[reduce2])]) ).
fof(i_0_99,plain,
! [X604,X605,X606,X607,X608] :
( ~ vtcheck(vbind(X605,X607,X604),X606,X608)
| vtcheck(X604,vabs(X605,X607,X606),varrow(X607,X608)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['T-abs'])]) ).
cnf(i_0_100,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_65]) ).
cnf(i_0_101,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_65]) ).
cnf(i_0_102,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_65]) ).
fof(i_0_103,plain,
! [X517,X518,X519,X520,X521,X522,X523,X524,X525] :
( X517 != X523
| X518 != X524
| X519 != vabs(X521,X522,X525)
| X523 = X521
| visFreeVar(X521,X524)
| X520 != vsubst(X517,X518,X519)
| X520 = vabs(X521,X522,vsubst(X523,X524,X525)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_67])]) ).
cnf(i_0_104,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_65]) ).
cnf(i_0_105,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_65]) ).
fof(i_0_106,plain,
! [X490,X491,X492,X493,X494,X495,X496,X497] :
( X490 != X495
| X491 != X496
| X492 != vapp(X494,X497)
| X493 != vsubst(X490,X491,X492)
| X493 = vapp(vsubst(X495,X496,X494),vsubst(X495,X496,X497)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[subst2])]) ).
cnf(i_0_107,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_65]) ).
fof(i_0_108,plain,
! [X559,X560,X561,X562,X563,X564,X565] :
( X561 != vapp(vabs(X563,X559,X565),X564)
| X560 != vreduce(X564)
| visSomeExp(X560)
| ~ visValue(X564)
| X562 != vreduce(X561)
| X562 = vsomeExp(vsubst(X563,X564,X565)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_68])]) ).
fof(i_0_109,plain,
! [X630,X631,X632,X633,X634] :
( visFreeVar(X630,X633)
| ~ vtcheck(vbind(X630,X631,X632),X633,X634)
| vtcheck(X632,X633,X634) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_69])]) ).
cnf(i_0_110,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_65]) ).
fof(i_0_111,plain,
! [X609,X610,X611,X612,X613] :
( ~ vtcheck(X610,X611,varrow(X609,X613))
| ~ vtcheck(X610,X612,X609)
| vtcheck(X610,vapp(X611,X612),X613) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['T-app'])]) ).
fof(i_0_112,plain,
! [X625,X626,X627,X628,X629] :
( vlookup(X625,X627) != vnoType
| ~ vtcheck(X627,X628,X629)
| vtcheck(vbind(X625,X626,X627),X628,X629) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['T-Weak'])]) ).
fof(i_0_113,negated_conjecture,
( ~ visFreeVar(esk32_0,vapp(ve1app,ve2app))
& vtcheck(esk34_0,vapp(ve1app,ve2app),esk35_0)
& ~ vtcheck(vbind(esk32_0,esk33_0,esk34_0),vapp(ve1app,ve2app),esk35_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_70])])]) ).
fof(i_0_114,plain,
! [X639,X640,X641,X642] :
( visFreeVar(X639,ve2app)
| ~ vtcheck(X641,ve2app,X642)
| vtcheck(vbind(X639,X640,X641),ve2app,X642) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_71])]) ).
fof(i_0_115,plain,
! [X635,X636,X637,X638] :
( visFreeVar(X635,ve1app)
| ~ vtcheck(X637,ve1app,X638)
| vtcheck(vbind(X635,X636,X637),ve1app,X638) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_72])]) ).
fof(i_0_116,plain,
! [X498,X499,X500,X501,X502,X503,X504,X505,X506] :
( X500 != X499
| X501 != X498
| X502 != vabs(X504,X505,X506)
| X499 != X504
| X503 != vsubst(X500,X501,X502)
| X503 = vabs(X504,X505,X506) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[subst3])]) ).
fof(i_0_117,plain,
! [X566,X567,X568,X569,X570,X571,X572] :
( X571 != vapp(vabs(X566,X567,X568),X570)
| X569 != vreduce(X570)
| visSomeExp(X569)
| visValue(X570)
| X572 != vreduce(X571)
| X572 = vnoExp ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_73])]) ).
fof(i_0_118,plain,
! [X412,X413,X414,X415,X416,X417] :
( ( X412 = X415
| vbind(X412,X413,X414) != vbind(X415,X416,X417) )
& ( X413 = X416
| vbind(X412,X413,X414) != vbind(X415,X416,X417) )
& ( X414 = X417
| vbind(X412,X413,X414) != vbind(X415,X416,X417) )
& ( X412 != X415
| X413 != X416
| X414 != X417
| vbind(X412,X413,X414) = vbind(X415,X416,X417) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['EQ-bind'])])]) ).
fof(i_0_119,plain,
! [X366,X367,X368,X369,X370,X371] :
( ( X366 = X369
| vabs(X366,X367,X368) != vabs(X369,X370,X371) )
& ( X367 = X370
| vabs(X366,X367,X368) != vabs(X369,X370,X371) )
& ( X368 = X371
| vabs(X366,X367,X368) != vabs(X369,X370,X371) )
& ( X366 != X369
| X367 != X370
| X368 != X371
| vabs(X366,X367,X368) = vabs(X369,X370,X371) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['EQ-abs'])])]) ).
fof(i_0_120,plain,
! [X441,X442,X443,X444,X445,X446,X447] :
( X443 != X446
| X444 != vbind(X442,X441,X447)
| X446 = X442
| X445 != vlookup(X443,X444)
| X445 = vlookup(X446,X447) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[lookup2])]) ).
fof(i_0_121,plain,
! [X589,X590,X594,X595,X596] :
( ( X589 = vapp(esk22_2(X589,X590),esk21_2(X589,X590))
| epred4_2(X590,X589)
| vreduce(X589) != X590 )
& ( esk22_2(X589,X590) != vabs(X594,X595,X596)
| epred4_2(X590,X589)
| vreduce(X589) != X590 )
& ( esk23_2(X589,X590) = vreduce(esk22_2(X589,X590))
| epred4_2(X590,X589)
| vreduce(X589) != X590 )
& ( ~ visSomeExp(esk23_2(X589,X590))
| epred4_2(X590,X589)
| vreduce(X589) != X590 )
& ( X590 = vnoExp
| epred4_2(X590,X589)
| vreduce(X589) != X590 ) ),
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_74])])])])])]) ).
fof(i_0_122,plain,
! [X401,X402,X403,X404,X405,X406] :
( ( X404 = X405
| ~ visFreeVar(X405,X406)
| visFreeVar(X402,X403)
| X402 != X405
| X403 != vabs(X404,X401,X406) )
& ( X404 != X405
| ~ visFreeVar(X402,X403)
| X402 != X405
| X403 != vabs(X404,X401,X406) )
& ( visFreeVar(X405,X406)
| ~ visFreeVar(X402,X403)
| X402 != X405
| X403 != vabs(X404,X401,X406) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[isFreeVar1])])]) ).
fof(i_0_123,plain,
! [X434,X435,X436,X437,X438,X439,X440] :
( X437 != X435
| X438 != vbind(X436,X440,X434)
| X435 != X436
| X439 != vlookup(X437,X438)
| X439 = vsomeType(X440) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[lookup1])]) ).
cnf(i_0_124,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_65]) ).
cnf(i_0_125,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_65]) ).
fof(i_0_126,plain,
! [X483,X484,X485,X486,X487,X488,X489] :
( X485 != X484
| X486 != X483
| X487 != vvar(X489)
| X484 = X489
| X488 != vsubst(X485,X486,X487)
| X488 = vvar(X489) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[subst1])]) ).
fof(i_0_127,plain,
! [X476,X477,X478,X479,X480,X481,X482] :
( X478 != X476
| X479 != X482
| X480 != vvar(X477)
| X476 != X477
| X481 != vsubst(X478,X479,X480)
| X481 = X482 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[subst0])]) ).
fof(i_0_128,plain,
! [X383,X384,X385,X386,X387] : vabs(X383,X384,X385) != vapp(X386,X387),
inference(variable_rename,[status(thm)],['DIFF-abs-app']) ).
cnf(i_0_129,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_65]) ).
cnf(i_0_130,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_65]) ).
cnf(i_0_131,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_65]) ).
fof(i_0_132,plain,
! [X547,X548,X549,X550,X551] :
( X550 != vabs(X547,X548,X549)
| X551 != vreduce(X550)
| X551 = vnoExp ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[reduce1])]) ).
fof(i_0_133,plain,
! [X376,X377,X378,X379] : vvar(X376) != vabs(X377,X378,X379),
inference(variable_rename,[status(thm)],['DIFF-var-abs']) ).
fof(i_0_134,plain,
! [X388,X389,X390,X391] :
( X391 != vabs(X388,X389,X390)
| visValue(X391) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[isValue0])]) ).
fof(i_0_135,plain,
! [X601,X602,X603] :
( vlookup(X602,X601) != vsomeType(X603)
| vtcheck(X601,vvar(X602),X603) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['T-var'])]) ).
fof(i_0_136,plain,
! [X420,X421,X422] : vempty != vbind(X420,X421,X422),
inference(variable_rename,[status(thm)],['DIFF-empty-bind']) ).
cnf(i_0_137,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_65]) ).
fof(i_0_138,plain,
! [X407,X408,X409,X410,X411] :
( ( ~ visFreeVar(X410,X409)
| visFreeVar(X407,X408)
| X407 != X410
| X408 != vapp(X409,X411) )
& ( ~ visFreeVar(X410,X411)
| visFreeVar(X407,X408)
| X407 != X410
| X408 != vapp(X409,X411) )
& ( ~ visFreeVar(X407,X408)
| visFreeVar(X410,X409)
| visFreeVar(X410,X411)
| X407 != X410
| X408 != vapp(X409,X411) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[isFreeVar2])])]) ).
fof(i_0_139,plain,
! [X597,X598,X599,X600] :
( ( X597 = X599
| varrow(X597,X598) != varrow(X599,X600) )
& ( X598 = X600
| varrow(X597,X598) != varrow(X599,X600) )
& ( X597 != X599
| X598 != X600
| varrow(X597,X598) = varrow(X599,X600) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['EQ-arrow'])])]) ).
fof(i_0_140,plain,
! [X372,X373,X374,X375] :
( ( X372 = X374
| vapp(X372,X373) != vapp(X374,X375) )
& ( X373 = X375
| vapp(X372,X373) != vapp(X374,X375) )
& ( X372 != X374
| X373 != X375
| vapp(X372,X373) = vapp(X374,X375) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['EQ-app'])])]) ).
fof(i_0_141,plain,
! [X397,X398,X399,X400] :
( ( X399 != X400
| visFreeVar(X397,X398)
| X397 != X400
| X398 != vvar(X399) )
& ( ~ visFreeVar(X397,X398)
| X399 = X400
| X397 != X400
| X398 != vvar(X399) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[isFreeVar0])])]) ).
fof(i_0_142,plain,
! [X430,X431,X432,X433] :
( X431 != X430
| X432 != vempty
| X433 != vlookup(X431,X432)
| X433 = vnoType ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[lookup0])]) ).
fof(i_0_143,plain,
! [X394,X395,X396] :
( X396 != vapp(X394,X395)
| ~ visValue(X396) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_75])]) ).
fof(i_0_144,plain,
! [X474,X475] :
( vgensym(X475) != X474
| ~ visFreeVar(X474,X475) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_76])]) ).
fof(i_0_145,plain,
! [X380,X381,X382] : vvar(X380) != vapp(X381,X382),
inference(variable_rename,[status(thm)],['DIFF-var-app']) ).
fof(i_0_146,plain,
! [X541,X542,X543] :
( X541 != vsomeExp(X543)
| X542 != vgetSomeExp(X541)
| X542 = X543 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[getSomeExp0])]) ).
fof(i_0_147,plain,
! [X427,X428,X429] :
( X427 != vsomeType(X429)
| X428 != vgetSomeType(X427)
| X428 = X429 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[getSomeType0])]) ).
fof(i_0_148,plain,
! [X544,X545,X546] :
( X545 != vvar(X544)
| X546 != vreduce(X545)
| X546 = vnoExp ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[reduce0])]) ).
fof(i_0_149,plain,
! [X392,X393] :
( X393 != vvar(X392)
| ~ visValue(X393) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_77])]) ).
fof(i_0_150,plain,
! [X535,X536] :
( ( vsomeExp(X535) != vsomeExp(X536)
| X535 = X536 )
& ( X535 != X536
| vsomeExp(X535) = vsomeExp(X536) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['EQ-someExp'])]) ).
fof(i_0_151,plain,
! [X418,X419] :
( ( vsomeType(X418) != vsomeType(X419)
| X418 = X419 )
& ( X418 != X419
| vsomeType(X418) = vsomeType(X419) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['EQ-someType'])]) ).
fof(i_0_152,plain,
! [X364,X365] :
( ( vvar(X364) != vvar(X365)
| X364 = X365 )
& ( X364 != X365
| vvar(X364) = vvar(X365) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['EQ-var'])]) ).
fof(i_0_153,plain,
! [X539,X540] :
( X540 != vsomeExp(X539)
| visSomeExp(X540) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[isSomeExp1])]) ).
fof(i_0_154,plain,
! [X425,X426] :
( X426 != vsomeType(X425)
| visSomeType(X426) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[isSomeType1])]) ).
fof(i_0_155,plain,
! [X538] :
( X538 != vnoExp
| ~ visSomeExp(X538) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_78])]) ).
fof(i_0_156,plain,
! [X424] :
( X424 != vnoType
| ~ visSomeType(X424) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_79])]) ).
fof(i_0_157,plain,
! [X537] : vnoExp != vsomeExp(X537),
inference(variable_rename,[status(thm)],['DIFF-noExp-someExp']) ).
fof(i_0_158,plain,
! [X423] : vnoType != vsomeType(X423),
inference(variable_rename,[status(thm)],['DIFF-noType-someType']) ).
cnf(i_0_159,plain,
( X1 = vsubst(esk51_4(X2,X3,X4,X1),esk52_4(X2,X3,X4,X1),vabs(esk55_4(X2,X3,X4,X1),esk53_4(X2,X3,X4,X1),vsubst(esk54_4(X2,X3,X4,X1),vvar(esk55_4(X2,X3,X4,X1)),esk56_4(X2,X3,X4,X1))))
| X1 = vabs(esk48_4(X2,X3,X4,X1),esk49_4(X2,X3,X4,X1),esk50_4(X2,X3,X4,X1))
| 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_80]),
[final] ).
cnf(i_0_160,plain,
( X1 = vsubst(esk51_4(X2,X3,X4,X1),esk52_4(X2,X3,X4,X1),vabs(esk55_4(X2,X3,X4,X1),esk53_4(X2,X3,X4,X1),vsubst(esk54_4(X2,X3,X4,X1),vvar(esk55_4(X2,X3,X4,X1)),esk56_4(X2,X3,X4,X1))))
| X4 = vabs(esk48_4(X2,X3,X4,X1),esk49_4(X2,X3,X4,X1),esk50_4(X2,X3,X4,X1))
| 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_80]),
[final] ).
cnf(i_0_161,plain,
( X1 = vsubst(esk51_4(X2,X3,X4,X1),esk52_4(X2,X3,X4,X1),vabs(esk55_4(X2,X3,X4,X1),esk53_4(X2,X3,X4,X1),vsubst(esk54_4(X2,X3,X4,X1),vvar(esk55_4(X2,X3,X4,X1)),esk56_4(X2,X3,X4,X1))))
| 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_80]),
[final] ).
cnf(i_0_162,plain,
( X1 = vsubst(esk51_4(X2,X3,X4,X1),esk52_4(X2,X3,X4,X1),vabs(esk55_4(X2,X3,X4,X1),esk53_4(X2,X3,X4,X1),vsubst(esk54_4(X2,X3,X4,X1),vvar(esk55_4(X2,X3,X4,X1)),esk56_4(X2,X3,X4,X1))))
| 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_80]),
[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))))
| 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_80]),
[final] ).
cnf(i_0_164,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_80]),
[final] ).
cnf(i_0_165,plain,
( esk55_4(X1,X2,X3,X4) = vgensym(vapp(vapp(esk52_4(X1,X2,X3,X4),esk56_4(X1,X2,X3,X4)),vvar(esk51_4(X1,X2,X3,X4))))
| 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_80]),
[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))))
| 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_80]),
[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))))
| 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_80]),
[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))))
| 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_80]),
[final] ).
cnf(i_0_169,plain,
( X1 = vsubst(esk51_4(X2,X3,X4,X1),esk52_4(X2,X3,X4,X1),vabs(esk55_4(X2,X3,X4,X1),esk53_4(X2,X3,X4,X1),vsubst(esk54_4(X2,X3,X4,X1),vvar(esk55_4(X2,X3,X4,X1)),esk56_4(X2,X3,X4,X1))))
| 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_80]),
[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))))
| 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_80]),
[final] ).
cnf(i_0_171,plain,
( X1 = vsubst(esk51_4(X2,X3,X4,X1),esk52_4(X2,X3,X4,X1),vabs(esk55_4(X2,X3,X4,X1),esk53_4(X2,X3,X4,X1),vsubst(esk54_4(X2,X3,X4,X1),vvar(esk55_4(X2,X3,X4,X1)),esk56_4(X2,X3,X4,X1))))
| 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_80]),
[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))))
| 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_80]),
[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))))
| 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_80]),
[final] ).
cnf(i_0_174,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_80]),
[final] ).
cnf(i_0_175,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_80]),
[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))))
| 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_80]),
[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))))
| 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_80]),
[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))))
| 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_80]),
[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))))
| 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_80]),
[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))))
| 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_80]),
[final] ).
cnf(i_0_181,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_80]),
[final] ).
cnf(i_0_182,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_80]),
[final] ).
cnf(i_0_183,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_80]),
[final] ).
cnf(i_0_184,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_80]),
[final] ).
cnf(i_0_185,plain,
( X1 = vabs(esk54_4(X2,X3,X1,X4),esk53_4(X2,X3,X1,X4),esk56_4(X2,X3,X1,X4))
| 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_80]),
[final] ).
cnf(i_0_186,plain,
( esk55_4(X1,X2,X3,X4) = vgensym(vapp(vapp(esk52_4(X1,X2,X3,X4),esk56_4(X1,X2,X3,X4)),vvar(esk51_4(X1,X2,X3,X4))))
| X3 = vabs(esk48_4(X1,X2,X3,X4),esk49_4(X1,X2,X3,X4),esk50_4(X1,X2,X3,X4))
| 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_80]),
[final] ).
cnf(i_0_187,plain,
( esk55_4(X1,X2,X3,X4) = vgensym(vapp(vapp(esk52_4(X1,X2,X3,X4),esk56_4(X1,X2,X3,X4)),vvar(esk51_4(X1,X2,X3,X4))))
| X4 = vabs(esk48_4(X1,X2,X3,X4),esk49_4(X1,X2,X3,X4),esk50_4(X1,X2,X3,X4))
| 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_80]),
[final] ).
cnf(i_0_188,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_80]),
[final] ).
cnf(i_0_189,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_80]),
[final] ).
cnf(i_0_190,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_80]),
[final] ).
cnf(i_0_191,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_80]),
[final] ).
cnf(i_0_192,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_80]),
[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))))
| 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_80]),
[final] ).
cnf(i_0_194,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_80]),
[final] ).
cnf(i_0_195,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_80]),
[final] ).
cnf(i_0_196,plain,
( esk55_4(X1,X2,X3,X4) = vgensym(vapp(vapp(esk52_4(X1,X2,X3,X4),esk56_4(X1,X2,X3,X4)),vvar(esk51_4(X1,X2,X3,X4))))
| 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_80]),
[final] ).
cnf(i_0_197,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_80]),
[final] ).
cnf(i_0_198,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_80]),
[final] ).
cnf(i_0_199,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_80]),
[final] ).
cnf(i_0_200,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_80]),
[final] ).
cnf(i_0_201,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_80]),
[final] ).
cnf(i_0_202,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_80]),
[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))))
| 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_80]),
[final] ).
cnf(i_0_204,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_80]),
[final] ).
cnf(i_0_205,plain,
( esk55_4(X1,X2,X3,X4) = vgensym(vapp(vapp(esk52_4(X1,X2,X3,X4),esk56_4(X1,X2,X3,X4)),vvar(esk51_4(X1,X2,X3,X4))))
| 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_80]),
[final] ).
cnf(i_0_206,plain,
( esk55_4(X1,X2,X3,X4) = vgensym(vapp(vapp(esk52_4(X1,X2,X3,X4),esk56_4(X1,X2,X3,X4)),vvar(esk51_4(X1,X2,X3,X4))))
| 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_80]),
[final] ).
cnf(i_0_207,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_80]),
[final] ).
cnf(i_0_208,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_80]),
[final] ).
cnf(i_0_209,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_80]),
[final] ).
cnf(i_0_210,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_80]),
[final] ).
cnf(i_0_211,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_80]),
[final] ).
cnf(i_0_212,plain,
( esk55_4(X1,X2,X3,X4) = vgensym(vapp(vapp(esk52_4(X1,X2,X3,X4),esk56_4(X1,X2,X3,X4)),vvar(esk51_4(X1,X2,X3,X4))))
| 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_80]),
[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))))
| 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_80]),
[final] ).
cnf(i_0_214,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_80]),
[final] ).
cnf(i_0_215,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_80]),
[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))))
| 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_80]),
[final] ).
cnf(i_0_217,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_80]),
[final] ).
cnf(i_0_218,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_80]),
[final] ).
cnf(i_0_219,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_80]),
[final] ).
cnf(i_0_220,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_81]),
[final] ).
cnf(i_0_221,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_80]),
[final] ).
cnf(i_0_222,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_80]),
[final] ).
cnf(i_0_223,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_80]),
[final] ).
cnf(i_0_224,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_80]),
[final] ).
cnf(i_0_225,plain,
( X1 = vabs(esk54_4(X2,X3,X1,X4),esk53_4(X2,X3,X1,X4),esk56_4(X2,X3,X1,X4))
| X1 = vabs(esk48_4(X2,X3,X1,X4),esk49_4(X2,X3,X1,X4),esk50_4(X2,X3,X1,X4))
| 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_80]),
[final] ).
cnf(i_0_226,plain,
( X1 = vabs(esk54_4(X2,X3,X1,X4),esk53_4(X2,X3,X1,X4),esk56_4(X2,X3,X1,X4))
| X4 = vabs(esk48_4(X2,X3,X1,X4),esk49_4(X2,X3,X1,X4),esk50_4(X2,X3,X1,X4))
| 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_80]),
[final] ).
cnf(i_0_227,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_82]),
[final] ).
cnf(i_0_228,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_80]),
[final] ).
cnf(i_0_229,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_80]),
[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))
| 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_80]),
[final] ).
cnf(i_0_231,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_80]),
[final] ).
cnf(i_0_232,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_80]),
[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))
| 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_80]),
[final] ).
cnf(i_0_234,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_80]),
[final] ).
cnf(i_0_235,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_80]),
[final] ).
cnf(i_0_236,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_80]),
[final] ).
cnf(i_0_237,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_80]),
[final] ).
cnf(i_0_238,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_80]),
[final] ).
cnf(i_0_239,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_80]),
[final] ).
cnf(i_0_240,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_80]),
[final] ).
cnf(i_0_241,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_80]),
[final] ).
cnf(i_0_242,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_80]),
[final] ).
cnf(i_0_243,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_80]),
[final] ).
cnf(i_0_244,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_80]),
[final] ).
cnf(i_0_245,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_80]),
[final] ).
cnf(i_0_246,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_80]),
[final] ).
cnf(i_0_247,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_80]),
[final] ).
cnf(i_0_248,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_80]),
[final] ).
cnf(i_0_249,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_80]),
[final] ).
cnf(i_0_250,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_80]),
[final] ).
cnf(i_0_251,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_80]),
[final] ).
cnf(i_0_252,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_80]),
[final] ).
cnf(i_0_253,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_80]),
[final] ).
cnf(i_0_254,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_80]),
[final] ).
cnf(i_0_255,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_80]),
[final] ).
cnf(i_0_256,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_80]),
[final] ).
cnf(i_0_257,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_80]),
[final] ).
cnf(i_0_258,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_80]),
[final] ).
cnf(i_0_259,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_80]),
[final] ).
cnf(i_0_260,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_80]),
[final] ).
cnf(i_0_261,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_80]),
[final] ).
cnf(i_0_262,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_80]),
[final] ).
cnf(i_0_263,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_80]),
[final] ).
cnf(i_0_264,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_80]),
[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))
| 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_80]),
[final] ).
cnf(i_0_266,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_80]),
[final] ).
cnf(i_0_267,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_80]),
[final] ).
cnf(i_0_268,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_80]),
[final] ).
cnf(i_0_269,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_80]),
[final] ).
cnf(i_0_270,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_80]),
[final] ).
cnf(i_0_271,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_80]),
[final] ).
cnf(i_0_272,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_80]),
[final] ).
cnf(i_0_273,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_80]),
[final] ).
cnf(i_0_274,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_80]),
[final] ).
cnf(i_0_275,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_80]),
[final] ).
cnf(i_0_276,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_80]),
[final] ).
cnf(i_0_277,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_80]),
[final] ).
cnf(i_0_278,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_80]),
[final] ).
cnf(i_0_279,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_80]),
[final] ).
cnf(i_0_280,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_80]),
[final] ).
cnf(i_0_281,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_80]),
[final] ).
cnf(i_0_282,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_80]),
[final] ).
cnf(i_0_283,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_80]),
[final] ).
cnf(i_0_284,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_80]),
[final] ).
cnf(i_0_285,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_80]),
[final] ).
cnf(i_0_286,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_80]),
[final] ).
cnf(i_0_287,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_80]),
[final] ).
cnf(i_0_288,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_80]),
[final] ).
cnf(i_0_289,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_82]),
[final] ).
cnf(i_0_290,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_82]),
[final] ).
cnf(i_0_291,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_83]),
[final] ).
cnf(i_0_292,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_83]),
[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)
| 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_80]),
[final] ).
cnf(i_0_294,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_80]),
[final] ).
cnf(i_0_295,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_80]),
[final] ).
cnf(i_0_296,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_80]),
[final] ).
cnf(i_0_297,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_84]),
[final] ).
cnf(i_0_298,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_83]),
[final] ).
cnf(i_0_299,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_83]),
[final] ).
cnf(i_0_300,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_83]),
[final] ).
cnf(i_0_301,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_85]),
[final] ).
cnf(i_0_302,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_85]),
[final] ).
cnf(i_0_303,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_83]),
[final] ).
cnf(i_0_304,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_83]),
[final] ).
cnf(i_0_305,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_80]),
[final] ).
cnf(i_0_306,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_80]),
[final] ).
cnf(i_0_307,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_80]),
[final] ).
cnf(i_0_308,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_80]),
[final] ).
cnf(i_0_309,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_80]),
[final] ).
cnf(i_0_310,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_80]),
[final] ).
cnf(i_0_311,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_80]),
[final] ).
cnf(i_0_312,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_80]),
[final] ).
cnf(i_0_313,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_83]),
[final] ).
cnf(i_0_314,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_83]),
[final] ).
cnf(i_0_315,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_85]),
[final] ).
cnf(i_0_316,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_85]),
[final] ).
cnf(i_0_317,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_85]),
[final] ).
cnf(i_0_318,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_85]),
[final] ).
cnf(i_0_319,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_65]),
[final] ).
cnf(i_0_320,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_83]),
[final] ).
cnf(i_0_321,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_83]),
[final] ).
cnf(i_0_322,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_83]),
[final] ).
cnf(i_0_323,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_83]),
[final] ).
cnf(i_0_324,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_83]),
[final] ).
cnf(i_0_325,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_83]),
[final] ).
cnf(i_0_326,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_83]),
[final] ).
cnf(i_0_327,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_83]),
[final] ).
cnf(i_0_328,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_65]),
[final] ).
cnf(i_0_329,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_83]),
[final] ).
cnf(i_0_330,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_83]),
[final] ).
cnf(i_0_331,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_65]),
[final] ).
cnf(i_0_332,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_82]),
[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))))
| 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_65]),
[final] ).
cnf(i_0_334,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_65]),
[final] ).
cnf(i_0_335,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_86]),
[final] ).
cnf(i_0_336,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_65]),
[final] ).
cnf(i_0_337,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_85]),
[final] ).
cnf(i_0_338,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_85]),
[final] ).
cnf(i_0_339,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_87]),
[final] ).
cnf(i_0_340,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_88]),
[final] ).
cnf(i_0_341,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_65]),
[final] ).
cnf(i_0_342,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_65]),
[final] ).
cnf(i_0_343,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_65]),
[final] ).
cnf(i_0_344,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_83]),
[final] ).
cnf(i_0_345,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_83]),
[final] ).
cnf(i_0_346,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_83]),
[final] ).
cnf(i_0_347,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_83]),
[final] ).
cnf(i_0_348,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_83]),
[final] ).
cnf(i_0_349,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_83]),
[final] ).
cnf(i_0_350,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_65]),
[final] ).
cnf(i_0_351,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_65]),
[final] ).
cnf(i_0_352,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_65]),
[final] ).
cnf(i_0_353,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_85]),
[final] ).
cnf(i_0_354,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_85]),
[final] ).
cnf(i_0_355,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_85]),
[final] ).
cnf(i_0_356,plain,
( X1 = vbind(esk7_3(X2,X1,X3),esk6_3(X2,X1,X3),esk9_3(X2,X1,X3))
| X1 = vbind(esk4_3(X2,X1,X3),esk5_3(X2,X1,X3),esk2_3(X2,X1,X3))
| X2 = esk1_3(X2,X1,X3)
| vlookup(X2,X1) != X3 ),
inference(split_conjunct,[status(thm)],[i_0_89]),
[final] ).
cnf(i_0_357,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_85]),
[final] ).
cnf(i_0_358,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_85]),
[final] ).
cnf(i_0_359,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_85]),
[final] ).
cnf(i_0_360,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_65]),
[final] ).
cnf(i_0_361,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_89]),
[final] ).
cnf(i_0_362,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_89]),
[final] ).
cnf(i_0_363,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_65]),
[final] ).
cnf(i_0_364,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_65]),
[final] ).
cnf(i_0_365,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_65]),
[final] ).
cnf(i_0_366,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_65]),
[final] ).
cnf(i_0_367,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_65]),
[final] ).
cnf(i_0_368,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_90]),
[final] ).
cnf(i_0_369,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_91]),
[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))))
| ~ epred3_2(X2,X1)
| ~ visSomeExp(esk67_2(X1,X2)) ),
inference(cn,[status(thm)],[i_0_92]),
[final] ).
cnf(i_0_371,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_93]),
[final] ).
cnf(i_0_372,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_65]),
[final] ).
cnf(i_0_373,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_94]),
[final] ).
cnf(i_0_374,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_85]),
[final] ).
cnf(i_0_375,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_85]),
[final] ).
cnf(i_0_376,plain,
( X1 = vlookup(esk8_3(X2,X3,X1),esk9_3(X2,X3,X1))
| X3 = vbind(esk4_3(X2,X3,X1),esk5_3(X2,X3,X1),esk2_3(X2,X3,X1))
| X2 = esk1_3(X2,X3,X1)
| vlookup(X2,X3) != X1 ),
inference(split_conjunct,[status(thm)],[i_0_89]),
[final] ).
cnf(i_0_377,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_85]),
[final] ).
cnf(i_0_378,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_65]),
[final] ).
cnf(i_0_379,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_85]),
[final] ).
cnf(i_0_380,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_95]),
[final] ).
cnf(i_0_381,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_89]),
[final] ).
cnf(i_0_382,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_89]),
[final] ).
cnf(i_0_383,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_89]),
[final] ).
cnf(i_0_384,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_65]),
[final] ).
cnf(i_0_385,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_96]),
[final] ).
cnf(i_0_386,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_82]),
[final] ).
cnf(i_0_387,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_82]),
[final] ).
cnf(i_0_388,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_89]),
[final] ).
cnf(i_0_389,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_89]),
[final] ).
cnf(i_0_390,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_89]),
[final] ).
cnf(i_0_391,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_89]),
[final] ).
cnf(i_0_392,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_97]),
[final] ).
cnf(i_0_393,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_65]),
[final] ).
cnf(i_0_394,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_65]),
[final] ).
cnf(i_0_395,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_65]),
[final] ).
cnf(i_0_396,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_65]),
[final] ).
cnf(i_0_397,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_65]),
[final] ).
cnf(i_0_398,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_89]),
[final] ).
cnf(i_0_399,plain,
( X1 = vbind(esk7_3(X2,X1,X3),esk6_3(X2,X1,X3),esk9_3(X2,X1,X3))
| X3 = vsomeType(esk5_3(X2,X1,X3))
| X3 = vnoType
| vlookup(X2,X1) != X3 ),
inference(split_conjunct,[status(thm)],[i_0_89]),
[final] ).
cnf(i_0_400,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_89]),
[final] ).
cnf(i_0_401,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_89]),
[final] ).
cnf(i_0_402,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_89]),
[final] ).
cnf(i_0_403,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_89]),
[final] ).
cnf(i_0_404,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_65]),
[final] ).
cnf(i_0_405,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_65]),
[final] ).
cnf(i_0_406,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_65]),
[final] ).
cnf(i_0_407,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_65]),
[final] ).
cnf(i_0_408,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_65]),
[final] ).
cnf(i_0_409,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_65]),
[final] ).
cnf(i_0_410,plain,
( X1 = vsomeExp(vsubst(esk68_2(X2,X1),esk69_2(X2,X1),esk70_2(X2,X1)))
| visSomeExp(esk65_2(X2,X1))
| X2 = vabs(esk58_2(X2,X1),esk59_2(X2,X1),esk60_2(X2,X1))
| X2 = vvar(esk57_2(X2,X1))
| ~ epred3_2(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_65]),
[final] ).
cnf(i_0_411,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_98]),
[final] ).
cnf(i_0_412,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_65]),
[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)
| X1 = vempty
| vlookup(X2,X1) != X3 ),
inference(split_conjunct,[status(thm)],[i_0_89]),
[final] ).
cnf(i_0_414,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_89]),
[final] ).
cnf(i_0_415,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_89]),
[final] ).
cnf(i_0_416,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_89]),
[final] ).
cnf(i_0_417,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_65]),
[final] ).
cnf(i_0_418,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_97]),
[final] ).
cnf(i_0_419,plain,
( vtcheck(X3,vabs(X1,X2,X4),varrow(X2,X5))
| ~ vtcheck(vbind(X1,X2,X3),X4,X5) ),
inference(split_conjunct,[status(thm)],[i_0_99]),
[final] ).
cnf(i_0_420,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_89]),
[final] ).
cnf(i_0_421,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_89]),
[final] ).
cnf(i_0_422,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_97]),
[final] ).
cnf(i_0_423,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_65]),
[final] ).
cnf(i_0_424,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_65]),
[final] ).
cnf(i_0_425,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_65]),
[final] ).
cnf(i_0_426,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_65]),
[final] ).
cnf(i_0_427,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_65]),
[final] ).
cnf(i_0_428,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_97]),
[final] ).
cnf(i_0_429,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_100]),
[final] ).
cnf(i_0_430,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_101]),
[final] ).
cnf(i_0_431,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_102]),
[final] ).
cnf(i_0_432,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_97]),
[final] ).
cnf(i_0_433,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_65]),
[final] ).
cnf(i_0_434,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_89]),
[final] ).
cnf(i_0_435,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_89]),
[final] ).
cnf(i_0_436,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_89]),
[final] ).
cnf(i_0_437,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_89]),
[final] ).
cnf(i_0_438,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_89]),
[final] ).
cnf(i_0_439,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_89]),
[final] ).
cnf(i_0_440,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_103]),
[final] ).
cnf(i_0_441,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_89]),
[final] ).
cnf(i_0_442,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_104]),
[final] ).
cnf(i_0_443,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_105]),
[final] ).
cnf(i_0_444,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_65]),
[final] ).
cnf(i_0_445,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_106]),
[final] ).
cnf(i_0_446,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_107]),
[final] ).
cnf(i_0_447,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_108]),
[final] ).
cnf(i_0_448,plain,
( visFreeVar(X1,X2)
| vtcheck(X4,X2,X5)
| ~ vtcheck(vbind(X1,X3,X4),X2,X5) ),
inference(split_conjunct,[status(thm)],[i_0_109]),
[final] ).
cnf(i_0_449,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_110]),
[final] ).
cnf(i_0_450,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_89]),
[final] ).
cnf(i_0_451,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_89]),
[final] ).
cnf(i_0_452,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_89]),
[final] ).
cnf(i_0_453,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_89]),
[final] ).
cnf(i_0_454,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_89]),
[final] ).
cnf(i_0_455,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_89]),
[final] ).
cnf(i_0_456,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_89]),
[final] ).
cnf(i_0_457,plain,
( vtcheck(X1,vapp(X2,X5),X4)
| ~ vtcheck(X1,X2,varrow(X3,X4))
| ~ vtcheck(X1,X5,X3) ),
inference(split_conjunct,[status(thm)],[i_0_111]),
[final] ).
cnf(i_0_458,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_97]),
[final] ).
cnf(i_0_459,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_97]),
[final] ).
cnf(i_0_460,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_97]),
[final] ).
cnf(i_0_461,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_65]),
[final] ).
cnf(i_0_462,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_65]),
[final] ).
cnf(i_0_463,plain,
( vtcheck(vbind(X1,X5,X2),X3,X4)
| vlookup(X1,X2) != vnoType
| ~ vtcheck(X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[i_0_112]),
[final] ).
cnf(i_0_464,negated_conjecture,
~ vtcheck(vbind(esk32_0,esk33_0,esk34_0),vapp(ve1app,ve2app),esk35_0),
inference(split_conjunct,[status(thm)],[i_0_113]),
[final] ).
cnf(i_0_465,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_65]),
[final] ).
cnf(i_0_466,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_65]),
[final] ).
cnf(i_0_467,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_65]),
[final] ).
cnf(i_0_468,plain,
( visFreeVar(X1,ve2app)
| vtcheck(vbind(X1,X4,X2),ve2app,X3)
| ~ vtcheck(X2,ve2app,X3) ),
inference(split_conjunct,[status(thm)],[i_0_114]),
[final] ).
cnf(i_0_469,plain,
( visFreeVar(X1,ve1app)
| vtcheck(vbind(X1,X4,X2),ve1app,X3)
| ~ vtcheck(X2,ve1app,X3) ),
inference(split_conjunct,[status(thm)],[i_0_115]),
[final] ).
cnf(i_0_470,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_89]),
[final] ).
cnf(i_0_471,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_89]),
[final] ).
cnf(i_0_472,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_65]),
[final] ).
cnf(i_0_473,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_65]),
[final] ).
cnf(i_0_474,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_89]),
[final] ).
cnf(i_0_475,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_65]),
[final] ).
cnf(i_0_476,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_89]),
[final] ).
cnf(i_0_477,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_116]),
[final] ).
cnf(i_0_478,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_97]),
[final] ).
cnf(i_0_479,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_65]),
[final] ).
cnf(i_0_480,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_65]),
[final] ).
cnf(i_0_481,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_65]),
[final] ).
cnf(i_0_482,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_117]),
[final] ).
cnf(i_0_483,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_65]),
[final] ).
cnf(i_0_484,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_89]),
[final] ).
cnf(i_0_485,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_89]),
[final] ).
cnf(i_0_486,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_97]),
[final] ).
cnf(i_0_487,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_97]),
[final] ).
cnf(i_0_488,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_89]),
[final] ).
cnf(i_0_489,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_89]),
[final] ).
cnf(i_0_490,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_89]),
[final] ).
cnf(i_0_491,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_97]),
[final] ).
cnf(i_0_492,plain,
( X1 = X2
| vbind(X1,X3,X4) != vbind(X2,X5,X6) ),
inference(split_conjunct,[status(thm)],[i_0_118]),
[final] ).
cnf(i_0_493,plain,
( X1 = X2
| vbind(X3,X1,X4) != vbind(X5,X2,X6) ),
inference(split_conjunct,[status(thm)],[i_0_118]),
[final] ).
cnf(i_0_494,plain,
( X1 = X2
| vbind(X3,X4,X1) != vbind(X5,X6,X2) ),
inference(split_conjunct,[status(thm)],[i_0_118]),
[final] ).
cnf(i_0_495,plain,
( X1 = X2
| vabs(X1,X3,X4) != vabs(X2,X5,X6) ),
inference(split_conjunct,[status(thm)],[i_0_119]),
[final] ).
cnf(i_0_496,plain,
( X1 = X2
| vabs(X3,X1,X4) != vabs(X5,X2,X6) ),
inference(split_conjunct,[status(thm)],[i_0_119]),
[final] ).
cnf(i_0_497,plain,
( X1 = X2
| vabs(X3,X4,X1) != vabs(X5,X6,X2) ),
inference(split_conjunct,[status(thm)],[i_0_119]),
[final] ).
cnf(i_0_498,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_97]),
[final] ).
cnf(i_0_499,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_97]),
[final] ).
cnf(i_0_500,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_97]),
[final] ).
cnf(i_0_501,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_65]),
[final] ).
cnf(i_0_502,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_97]),
[final] ).
cnf(i_0_503,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_65]),
[final] ).
cnf(i_0_504,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_89]),
[final] ).
cnf(i_0_505,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_89]),
[final] ).
cnf(i_0_506,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_65]),
[final] ).
cnf(i_0_507,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_120]),
[final] ).
cnf(i_0_508,plain,
( epred4_2(X2,X1)
| esk22_2(X1,X2) != vabs(X3,X4,X5)
| vreduce(X1) != X2 ),
inference(split_conjunct,[status(thm)],[i_0_121]),
[final] ).
cnf(i_0_509,plain,
( X1 = X2
| visFreeVar(X4,X5)
| ~ visFreeVar(X2,X3)
| X4 != X2
| X5 != vabs(X1,X6,X3) ),
inference(split_conjunct,[status(thm)],[i_0_122]),
[final] ).
cnf(i_0_510,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_65]),
[final] ).
cnf(i_0_511,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_65]),
[final] ).
cnf(i_0_512,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_97]),
[final] ).
cnf(i_0_513,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_97]),
[final] ).
cnf(i_0_514,plain,
( visFreeVar(X1,X2)
| ~ visFreeVar(X3,X4)
| X3 != X1
| X4 != vabs(X5,X6,X2) ),
inference(split_conjunct,[status(thm)],[i_0_122]),
[final] ).
cnf(i_0_515,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_97]),
[final] ).
cnf(i_0_516,plain,
( X7 = vsomeType(X5)
| X1 != X2
| X3 != vbind(X4,X5,X6)
| X2 != X4
| X7 != vlookup(X1,X3) ),
inference(split_conjunct,[status(thm)],[i_0_123]),
[final] ).
cnf(i_0_517,plain,
( X1 != X2
| ~ visFreeVar(X3,X4)
| X3 != X2
| X4 != vabs(X1,X5,X6) ),
inference(split_conjunct,[status(thm)],[i_0_122]),
[final] ).
cnf(i_0_518,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_65]),
[final] ).
cnf(i_0_519,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_124]),
[final] ).
cnf(i_0_520,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_97]),
[final] ).
cnf(i_0_521,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_97]),
[final] ).
cnf(i_0_522,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_125]),
[final] ).
cnf(i_0_523,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_97]),
[final] ).
cnf(i_0_524,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_126]),
[final] ).
cnf(i_0_525,plain,
( X7 = X4
| X1 != X2
| X3 != X4
| X5 != vvar(X6)
| X2 != X6
| X7 != vsubst(X1,X3,X5) ),
inference(split_conjunct,[status(thm)],[i_0_127]),
[final] ).
cnf(i_0_526,plain,
vabs(X1,X2,X3) != vapp(X4,X5),
inference(split_conjunct,[status(thm)],[i_0_128]),
[final] ).
cnf(i_0_527,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_97]),
[final] ).
cnf(i_0_528,plain,
( X2 = vnoExp
| visSomeExp(esk65_2(X1,X2))
| ~ epred3_2(X2,X1)
| ~ visSomeExp(esk67_2(X1,X2)) ),
inference(cn,[status(thm)],[i_0_129]),
[final] ).
cnf(i_0_529,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_130]),
[final] ).
cnf(i_0_530,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_131]),
[final] ).
cnf(i_0_531,plain,
( X5 = vnoExp
| X1 != vabs(X2,X3,X4)
| X5 != vreduce(X1) ),
inference(split_conjunct,[status(thm)],[i_0_132]),
[final] ).
cnf(i_0_532,plain,
vvar(X1) != vabs(X2,X3,X4),
inference(split_conjunct,[status(thm)],[i_0_133]),
[final] ).
cnf(i_0_533,plain,
( visValue(X1)
| X1 != vabs(X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[i_0_134]),
[final] ).
cnf(i_0_534,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_121]),
[final] ).
cnf(i_0_535,plain,
( vtcheck(X2,vvar(X1),X3)
| vlookup(X1,X2) != vsomeType(X3) ),
inference(split_conjunct,[status(thm)],[i_0_135]),
[final] ).
cnf(i_0_536,plain,
vempty != vbind(X1,X2,X3),
inference(split_conjunct,[status(thm)],[i_0_136]),
[final] ).
cnf(i_0_537,plain,
( X2 = vnoExp
| visValue(esk69_2(X1,X2))
| visSomeExp(esk65_2(X1,X2))
| ~ epred3_2(X2,X1) ),
inference(cn,[status(thm)],[i_0_137]),
[final] ).
cnf(i_0_538,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_97]),
[final] ).
cnf(i_0_539,plain,
( visFreeVar(X3,X4)
| visFreeVar(X3,X5)
| ~ visFreeVar(X1,X2)
| X1 != X3
| X2 != vapp(X4,X5) ),
inference(split_conjunct,[status(thm)],[i_0_138]),
[final] ).
cnf(i_0_540,negated_conjecture,
vtcheck(esk34_0,vapp(ve1app,ve2app),esk35_0),
inference(split_conjunct,[status(thm)],[i_0_113]),
[final] ).
cnf(i_0_541,plain,
( epred4_2(X2,X1)
| ~ visSomeExp(esk23_2(X1,X2))
| vreduce(X1) != X2 ),
inference(split_conjunct,[status(thm)],[i_0_121]),
[final] ).
cnf(i_0_542,plain,
( visSomeExp(esk77_2(X1,X2))
| X2 = vnoExp
| epred3_2(X2,X1)
| ~ epred4_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_97]),
[final] ).
cnf(i_0_543,plain,
( esk23_2(X1,X2) = vreduce(esk22_2(X1,X2))
| epred4_2(X2,X1)
| vreduce(X1) != X2 ),
inference(split_conjunct,[status(thm)],[i_0_121]),
[final] ).
cnf(i_0_544,plain,
( visFreeVar(X3,X4)
| ~ visFreeVar(X1,X2)
| X3 != X1
| X4 != vapp(X2,X5) ),
inference(split_conjunct,[status(thm)],[i_0_138]),
[final] ).
cnf(i_0_545,plain,
( visFreeVar(X3,X4)
| ~ visFreeVar(X1,X2)
| X3 != X1
| X4 != vapp(X5,X2) ),
inference(split_conjunct,[status(thm)],[i_0_138]),
[final] ).
cnf(i_0_546,negated_conjecture,
~ visFreeVar(esk32_0,vapp(ve1app,ve2app)),
inference(split_conjunct,[status(thm)],[i_0_113]),
[final] ).
cnf(i_0_547,plain,
( X1 = X2
| varrow(X1,X3) != varrow(X2,X4) ),
inference(split_conjunct,[status(thm)],[i_0_139]),
[final] ).
cnf(i_0_548,plain,
( X1 = X2
| varrow(X3,X1) != varrow(X4,X2) ),
inference(split_conjunct,[status(thm)],[i_0_139]),
[final] ).
cnf(i_0_549,plain,
( X1 = X2
| vapp(X1,X3) != vapp(X2,X4) ),
inference(split_conjunct,[status(thm)],[i_0_140]),
[final] ).
cnf(i_0_550,plain,
( X1 = X2
| vapp(X3,X1) != vapp(X4,X2) ),
inference(split_conjunct,[status(thm)],[i_0_140]),
[final] ).
cnf(i_0_551,plain,
( X3 = X4
| ~ visFreeVar(X1,X2)
| X1 != X4
| X2 != vvar(X3) ),
inference(split_conjunct,[status(thm)],[i_0_141]),
[final] ).
cnf(i_0_552,plain,
( X4 = vnoType
| X1 != X2
| X3 != vempty
| X4 != vlookup(X1,X3) ),
inference(split_conjunct,[status(thm)],[i_0_142]),
[final] ).
cnf(i_0_553,plain,
( X1 != vapp(X2,X3)
| ~ visValue(X1) ),
inference(split_conjunct,[status(thm)],[i_0_143]),
[final] ).
cnf(i_0_554,plain,
( vgensym(X1) != X2
| ~ visFreeVar(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_144]),
[final] ).
cnf(i_0_555,plain,
( visFreeVar(X3,X4)
| X1 != X2
| X3 != X2
| X4 != vvar(X1) ),
inference(split_conjunct,[status(thm)],[i_0_141]),
[final] ).
cnf(i_0_556,plain,
vvar(X1) != vapp(X2,X3),
inference(split_conjunct,[status(thm)],[i_0_145]),
[final] ).
cnf(i_0_557,plain,
( X1 = vnoExp
| epred4_2(X1,X2)
| vreduce(X2) != X1 ),
inference(split_conjunct,[status(thm)],[i_0_121]),
[final] ).
cnf(i_0_558,plain,
( X3 = X2
| X1 != vsomeExp(X2)
| X3 != vgetSomeExp(X1) ),
inference(split_conjunct,[status(thm)],[i_0_146]),
[final] ).
cnf(i_0_559,plain,
( X3 = X2
| X1 != vsomeType(X2)
| X3 != vgetSomeType(X1) ),
inference(split_conjunct,[status(thm)],[i_0_147]),
[final] ).
cnf(i_0_560,plain,
( X3 = vnoExp
| X1 != vvar(X2)
| X3 != vreduce(X1) ),
inference(split_conjunct,[status(thm)],[i_0_148]),
[final] ).
cnf(i_0_561,plain,
( X1 != vvar(X2)
| ~ visValue(X1) ),
inference(split_conjunct,[status(thm)],[i_0_149]),
[final] ).
cnf(i_0_562,plain,
( X1 = X2
| vsomeExp(X1) != vsomeExp(X2) ),
inference(split_conjunct,[status(thm)],[i_0_150]),
[final] ).
cnf(i_0_563,plain,
( X1 = X2
| vsomeType(X1) != vsomeType(X2) ),
inference(split_conjunct,[status(thm)],[i_0_151]),
[final] ).
cnf(i_0_564,plain,
( X1 = X2
| vvar(X1) != vvar(X2) ),
inference(split_conjunct,[status(thm)],[i_0_152]),
[final] ).
cnf(i_0_565,plain,
( visSomeExp(X1)
| X1 != vsomeExp(X2) ),
inference(split_conjunct,[status(thm)],[i_0_153]),
[final] ).
cnf(i_0_566,plain,
( visSomeType(X1)
| X1 != vsomeType(X2) ),
inference(split_conjunct,[status(thm)],[i_0_154]),
[final] ).
cnf(i_0_567,plain,
( X1 != vnoExp
| ~ visSomeExp(X1) ),
inference(split_conjunct,[status(thm)],[i_0_155]),
[final] ).
cnf(i_0_568,plain,
( X1 != vnoType
| ~ visSomeType(X1) ),
inference(split_conjunct,[status(thm)],[i_0_156]),
[final] ).
cnf(i_0_569,plain,
vnoExp != vsomeExp(X1),
inference(split_conjunct,[status(thm)],[i_0_157]),
[final] ).
cnf(i_0_570,plain,
vnoType != vsomeType(X1),
inference(split_conjunct,[status(thm)],[i_0_158]),
[final] ).
cnf(i_0_571,axiom,
X1 = X1 ).
cnf(i_0_572,axiom,
( X1 = X2
| X2 != X1 ) ).
cnf(i_0_573,axiom,
( X1 = X2
| X1 != X3
| X3 != X2 ) ).
cnf(i_0_574,axiom,
( X1 != X2
| vsubst(X1,X3,X4) = vsubst(X2,X3,X4) ) ).
cnf(i_0_575,axiom,
( X1 != X2
| vsubst(X3,X1,X4) = vsubst(X3,X2,X4) ) ).
cnf(i_0_576,axiom,
( X1 != X2
| vsubst(X3,X4,X1) = vsubst(X3,X4,X2) ) ).
cnf(i_0_577,axiom,
( X1 != X2
| esk48_4(X1,X3,X4,X5) = esk48_4(X2,X3,X4,X5) ) ).
cnf(i_0_578,axiom,
( X1 != X2
| esk48_4(X3,X1,X4,X5) = esk48_4(X3,X2,X4,X5) ) ).
cnf(i_0_579,axiom,
( X1 != X2
| esk48_4(X3,X4,X1,X5) = esk48_4(X3,X4,X2,X5) ) ).
cnf(i_0_580,axiom,
( X1 != X2
| esk48_4(X3,X4,X5,X1) = esk48_4(X3,X4,X5,X2) ) ).
cnf(i_0_581,axiom,
( X1 != X2
| vapp(X1,X3) = vapp(X2,X3) ) ).
cnf(i_0_582,axiom,
( X1 != X2
| vapp(X3,X1) = vapp(X3,X2) ) ).
cnf(i_0_583,axiom,
( X1 != X2
| esk43_4(X1,X3,X4,X5) = esk43_4(X2,X3,X4,X5) ) ).
cnf(i_0_584,axiom,
( X1 != X2
| esk43_4(X3,X1,X4,X5) = esk43_4(X3,X2,X4,X5) ) ).
cnf(i_0_585,axiom,
( X1 != X2
| esk43_4(X3,X4,X1,X5) = esk43_4(X3,X4,X2,X5) ) ).
cnf(i_0_586,axiom,
( X1 != X2
| esk43_4(X3,X4,X5,X1) = esk43_4(X3,X4,X5,X2) ) ).
cnf(i_0_587,axiom,
( X1 != X2
| esk44_4(X1,X3,X4,X5) = esk44_4(X2,X3,X4,X5) ) ).
cnf(i_0_588,axiom,
( X1 != X2
| esk44_4(X3,X1,X4,X5) = esk44_4(X3,X2,X4,X5) ) ).
cnf(i_0_589,axiom,
( X1 != X2
| esk44_4(X3,X4,X1,X5) = esk44_4(X3,X4,X2,X5) ) ).
cnf(i_0_590,axiom,
( X1 != X2
| esk44_4(X3,X4,X5,X1) = esk44_4(X3,X4,X5,X2) ) ).
cnf(i_0_591,axiom,
( X1 != X2
| esk47_4(X1,X3,X4,X5) = esk47_4(X2,X3,X4,X5) ) ).
cnf(i_0_592,axiom,
( X1 != X2
| esk47_4(X3,X1,X4,X5) = esk47_4(X3,X2,X4,X5) ) ).
cnf(i_0_593,axiom,
( X1 != X2
| esk47_4(X3,X4,X1,X5) = esk47_4(X3,X4,X2,X5) ) ).
cnf(i_0_594,axiom,
( X1 != X2
| esk47_4(X3,X4,X5,X1) = esk47_4(X3,X4,X5,X2) ) ).
cnf(i_0_595,axiom,
( X1 != X2
| esk46_4(X1,X3,X4,X5) = esk46_4(X2,X3,X4,X5) ) ).
cnf(i_0_596,axiom,
( X1 != X2
| esk46_4(X3,X1,X4,X5) = esk46_4(X3,X2,X4,X5) ) ).
cnf(i_0_597,axiom,
( X1 != X2
| esk46_4(X3,X4,X1,X5) = esk46_4(X3,X4,X2,X5) ) ).
cnf(i_0_598,axiom,
( X1 != X2
| esk46_4(X3,X4,X5,X1) = esk46_4(X3,X4,X5,X2) ) ).
cnf(i_0_599,axiom,
( X1 != X2
| esk51_4(X1,X3,X4,X5) = esk51_4(X2,X3,X4,X5) ) ).
cnf(i_0_600,axiom,
( X1 != X2
| esk51_4(X3,X1,X4,X5) = esk51_4(X3,X2,X4,X5) ) ).
cnf(i_0_601,axiom,
( X1 != X2
| esk51_4(X3,X4,X1,X5) = esk51_4(X3,X4,X2,X5) ) ).
cnf(i_0_602,axiom,
( X1 != X2
| esk51_4(X3,X4,X5,X1) = esk51_4(X3,X4,X5,X2) ) ).
cnf(i_0_603,axiom,
( X1 != X2
| vgensym(X1) = vgensym(X2) ) ).
cnf(i_0_604,axiom,
( X1 != X2
| vsomeExp(X1) = vsomeExp(X2) ) ).
cnf(i_0_605,axiom,
( X1 != X2
| vgetSomeExp(X1) = vgetSomeExp(X2) ) ).
cnf(i_0_606,axiom,
( X1 != X2
| vreduce(X1) = vreduce(X2) ) ).
cnf(i_0_607,axiom,
( X1 != X2
| esk10_4(X1,X3,X4,X5) = esk10_4(X2,X3,X4,X5) ) ).
cnf(i_0_608,axiom,
( X1 != X2
| esk10_4(X3,X1,X4,X5) = esk10_4(X3,X2,X4,X5) ) ).
cnf(i_0_609,axiom,
( X1 != X2
| esk10_4(X3,X4,X1,X5) = esk10_4(X3,X4,X2,X5) ) ).
cnf(i_0_610,axiom,
( X1 != X2
| esk10_4(X3,X4,X5,X1) = esk10_4(X3,X4,X5,X2) ) ).
cnf(i_0_611,axiom,
( X1 != X2
| esk12_4(X1,X3,X4,X5) = esk12_4(X2,X3,X4,X5) ) ).
cnf(i_0_612,axiom,
( X1 != X2
| esk12_4(X3,X1,X4,X5) = esk12_4(X3,X2,X4,X5) ) ).
cnf(i_0_613,axiom,
( X1 != X2
| esk12_4(X3,X4,X1,X5) = esk12_4(X3,X4,X2,X5) ) ).
cnf(i_0_614,axiom,
( X1 != X2
| esk12_4(X3,X4,X5,X1) = esk12_4(X3,X4,X5,X2) ) ).
cnf(i_0_615,axiom,
( X1 != X2
| esk52_4(X1,X3,X4,X5) = esk52_4(X2,X3,X4,X5) ) ).
cnf(i_0_616,axiom,
( X1 != X2
| esk52_4(X3,X1,X4,X5) = esk52_4(X3,X2,X4,X5) ) ).
cnf(i_0_617,axiom,
( X1 != X2
| esk52_4(X3,X4,X1,X5) = esk52_4(X3,X4,X2,X5) ) ).
cnf(i_0_618,axiom,
( X1 != X2
| esk52_4(X3,X4,X5,X1) = esk52_4(X3,X4,X5,X2) ) ).
cnf(i_0_619,axiom,
( X1 != X2
| esk13_4(X1,X3,X4,X5) = esk13_4(X2,X3,X4,X5) ) ).
cnf(i_0_620,axiom,
( X1 != X2
| esk13_4(X3,X1,X4,X5) = esk13_4(X3,X2,X4,X5) ) ).
cnf(i_0_621,axiom,
( X1 != X2
| esk13_4(X3,X4,X1,X5) = esk13_4(X3,X4,X2,X5) ) ).
cnf(i_0_622,axiom,
( X1 != X2
| esk13_4(X3,X4,X5,X1) = esk13_4(X3,X4,X5,X2) ) ).
cnf(i_0_623,axiom,
( X1 != X2
| esk37_4(X1,X3,X4,X5) = esk37_4(X2,X3,X4,X5) ) ).
cnf(i_0_624,axiom,
( X1 != X2
| esk37_4(X3,X1,X4,X5) = esk37_4(X3,X2,X4,X5) ) ).
cnf(i_0_625,axiom,
( X1 != X2
| esk37_4(X3,X4,X1,X5) = esk37_4(X3,X4,X2,X5) ) ).
cnf(i_0_626,axiom,
( X1 != X2
| esk37_4(X3,X4,X5,X1) = esk37_4(X3,X4,X5,X2) ) ).
cnf(i_0_627,axiom,
( X1 != X2
| esk40_4(X1,X3,X4,X5) = esk40_4(X2,X3,X4,X5) ) ).
cnf(i_0_628,axiom,
( X1 != X2
| esk40_4(X3,X1,X4,X5) = esk40_4(X3,X2,X4,X5) ) ).
cnf(i_0_629,axiom,
( X1 != X2
| esk40_4(X3,X4,X1,X5) = esk40_4(X3,X4,X2,X5) ) ).
cnf(i_0_630,axiom,
( X1 != X2
| esk40_4(X3,X4,X5,X1) = esk40_4(X3,X4,X5,X2) ) ).
cnf(i_0_631,axiom,
( X1 != X2
| esk41_4(X1,X3,X4,X5) = esk41_4(X2,X3,X4,X5) ) ).
cnf(i_0_632,axiom,
( X1 != X2
| esk41_4(X3,X1,X4,X5) = esk41_4(X3,X2,X4,X5) ) ).
cnf(i_0_633,axiom,
( X1 != X2
| esk41_4(X3,X4,X1,X5) = esk41_4(X3,X4,X2,X5) ) ).
cnf(i_0_634,axiom,
( X1 != X2
| esk41_4(X3,X4,X5,X1) = esk41_4(X3,X4,X5,X2) ) ).
cnf(i_0_635,axiom,
( X1 != X2
| esk36_4(X1,X3,X4,X5) = esk36_4(X2,X3,X4,X5) ) ).
cnf(i_0_636,axiom,
( X1 != X2
| esk36_4(X3,X1,X4,X5) = esk36_4(X3,X2,X4,X5) ) ).
cnf(i_0_637,axiom,
( X1 != X2
| esk36_4(X3,X4,X1,X5) = esk36_4(X3,X4,X2,X5) ) ).
cnf(i_0_638,axiom,
( X1 != X2
| esk36_4(X3,X4,X5,X1) = esk36_4(X3,X4,X5,X2) ) ).
cnf(i_0_639,axiom,
( X1 != X2
| esk38_4(X1,X3,X4,X5) = esk38_4(X2,X3,X4,X5) ) ).
cnf(i_0_640,axiom,
( X1 != X2
| esk38_4(X3,X1,X4,X5) = esk38_4(X3,X2,X4,X5) ) ).
cnf(i_0_641,axiom,
( X1 != X2
| esk38_4(X3,X4,X1,X5) = esk38_4(X3,X4,X2,X5) ) ).
cnf(i_0_642,axiom,
( X1 != X2
| esk38_4(X3,X4,X5,X1) = esk38_4(X3,X4,X5,X2) ) ).
cnf(i_0_643,axiom,
( X1 != X2
| vabs(X1,X3,X4) = vabs(X2,X3,X4) ) ).
cnf(i_0_644,axiom,
( X1 != X2
| vabs(X3,X1,X4) = vabs(X3,X2,X4) ) ).
cnf(i_0_645,axiom,
( X1 != X2
| vabs(X3,X4,X1) = vabs(X3,X4,X2) ) ).
cnf(i_0_646,axiom,
( X1 != X2
| varrow(X1,X3) = varrow(X2,X3) ) ).
cnf(i_0_647,axiom,
( X1 != X2
| varrow(X3,X1) = varrow(X3,X2) ) ).
cnf(i_0_648,axiom,
( X1 != X2
| vbind(X1,X3,X4) = vbind(X2,X3,X4) ) ).
cnf(i_0_649,axiom,
( X1 != X2
| vbind(X3,X1,X4) = vbind(X3,X2,X4) ) ).
cnf(i_0_650,axiom,
( X1 != X2
| vbind(X3,X4,X1) = vbind(X3,X4,X2) ) ).
cnf(i_0_651,axiom,
( X1 != X2
| vlookup(X1,X3) = vlookup(X2,X3) ) ).
cnf(i_0_652,axiom,
( X1 != X2
| vlookup(X3,X1) = vlookup(X3,X2) ) ).
cnf(i_0_653,axiom,
( X1 != X2
| esk55_4(X1,X3,X4,X5) = esk55_4(X2,X3,X4,X5) ) ).
cnf(i_0_654,axiom,
( X1 != X2
| esk55_4(X3,X1,X4,X5) = esk55_4(X3,X2,X4,X5) ) ).
cnf(i_0_655,axiom,
( X1 != X2
| esk55_4(X3,X4,X1,X5) = esk55_4(X3,X4,X2,X5) ) ).
cnf(i_0_656,axiom,
( X1 != X2
| esk55_4(X3,X4,X5,X1) = esk55_4(X3,X4,X5,X2) ) ).
cnf(i_0_657,axiom,
( X1 != X2
| vsomeType(X1) = vsomeType(X2) ) ).
cnf(i_0_658,axiom,
( X1 != X2
| esk65_2(X1,X3) = esk65_2(X2,X3) ) ).
cnf(i_0_659,axiom,
( X1 != X2
| esk65_2(X3,X1) = esk65_2(X3,X2) ) ).
cnf(i_0_660,axiom,
( X1 != X2
| esk39_4(X1,X3,X4,X5) = esk39_4(X2,X3,X4,X5) ) ).
cnf(i_0_661,axiom,
( X1 != X2
| esk39_4(X3,X1,X4,X5) = esk39_4(X3,X2,X4,X5) ) ).
cnf(i_0_662,axiom,
( X1 != X2
| esk39_4(X3,X4,X1,X5) = esk39_4(X3,X4,X2,X5) ) ).
cnf(i_0_663,axiom,
( X1 != X2
| esk39_4(X3,X4,X5,X1) = esk39_4(X3,X4,X5,X2) ) ).
cnf(i_0_664,axiom,
( X1 != X2
| esk67_2(X1,X3) = esk67_2(X2,X3) ) ).
cnf(i_0_665,axiom,
( X1 != X2
| esk67_2(X3,X1) = esk67_2(X3,X2) ) ).
cnf(i_0_666,axiom,
( X1 != X2
| esk7_3(X1,X3,X4) = esk7_3(X2,X3,X4) ) ).
cnf(i_0_667,axiom,
( X1 != X2
| esk7_3(X3,X1,X4) = esk7_3(X3,X2,X4) ) ).
cnf(i_0_668,axiom,
( X1 != X2
| esk7_3(X3,X4,X1) = esk7_3(X3,X4,X2) ) ).
cnf(i_0_669,axiom,
( X1 != X2
| esk4_3(X1,X3,X4) = esk4_3(X2,X3,X4) ) ).
cnf(i_0_670,axiom,
( X1 != X2
| esk4_3(X3,X1,X4) = esk4_3(X3,X2,X4) ) ).
cnf(i_0_671,axiom,
( X1 != X2
| esk4_3(X3,X4,X1) = esk4_3(X3,X4,X2) ) ).
cnf(i_0_672,axiom,
( X1 != X2
| esk54_4(X1,X3,X4,X5) = esk54_4(X2,X3,X4,X5) ) ).
cnf(i_0_673,axiom,
( X1 != X2
| esk54_4(X3,X1,X4,X5) = esk54_4(X3,X2,X4,X5) ) ).
cnf(i_0_674,axiom,
( X1 != X2
| esk54_4(X3,X4,X1,X5) = esk54_4(X3,X4,X2,X5) ) ).
cnf(i_0_675,axiom,
( X1 != X2
| esk54_4(X3,X4,X5,X1) = esk54_4(X3,X4,X5,X2) ) ).
cnf(i_0_676,axiom,
( X1 != X2
| esk1_3(X1,X3,X4) = esk1_3(X2,X3,X4) ) ).
cnf(i_0_677,axiom,
( X1 != X2
| esk1_3(X3,X1,X4) = esk1_3(X3,X2,X4) ) ).
cnf(i_0_678,axiom,
( X1 != X2
| esk1_3(X3,X4,X1) = esk1_3(X3,X4,X2) ) ).
cnf(i_0_679,axiom,
( X1 != X2
| esk8_3(X1,X3,X4) = esk8_3(X2,X3,X4) ) ).
cnf(i_0_680,axiom,
( X1 != X2
| esk8_3(X3,X1,X4) = esk8_3(X3,X2,X4) ) ).
cnf(i_0_681,axiom,
( X1 != X2
| esk8_3(X3,X4,X1) = esk8_3(X3,X4,X2) ) ).
cnf(i_0_682,axiom,
( X1 != X2
| esk3_3(X1,X3,X4) = esk3_3(X2,X3,X4) ) ).
cnf(i_0_683,axiom,
( X1 != X2
| esk3_3(X3,X1,X4) = esk3_3(X3,X2,X4) ) ).
cnf(i_0_684,axiom,
( X1 != X2
| esk3_3(X3,X4,X1) = esk3_3(X3,X4,X2) ) ).
cnf(i_0_685,axiom,
( X1 != X2
| esk77_2(X1,X3) = esk77_2(X2,X3) ) ).
cnf(i_0_686,axiom,
( X1 != X2
| esk77_2(X3,X1) = esk77_2(X3,X2) ) ).
cnf(i_0_687,axiom,
( X1 != X2
| vvar(X1) = vvar(X2) ) ).
cnf(i_0_688,axiom,
( X1 != X2
| esk76_2(X1,X3) = esk76_2(X2,X3) ) ).
cnf(i_0_689,axiom,
( X1 != X2
| esk76_2(X3,X1) = esk76_2(X3,X2) ) ).
cnf(i_0_690,axiom,
( X1 != X2
| esk74_2(X1,X3) = esk74_2(X2,X3) ) ).
cnf(i_0_691,axiom,
( X1 != X2
| esk74_2(X3,X1) = esk74_2(X3,X2) ) ).
cnf(i_0_692,axiom,
( X1 != X2
| esk22_2(X1,X3) = esk22_2(X2,X3) ) ).
cnf(i_0_693,axiom,
( X1 != X2
| esk22_2(X3,X1) = esk22_2(X3,X2) ) ).
cnf(i_0_694,axiom,
( X1 != X2
| esk23_2(X1,X3) = esk23_2(X2,X3) ) ).
cnf(i_0_695,axiom,
( X1 != X2
| esk23_2(X3,X1) = esk23_2(X3,X2) ) ).
cnf(i_0_696,axiom,
( X1 != X2
| vgetSomeType(X1) = vgetSomeType(X2) ) ).
cnf(i_0_697,axiom,
( X1 != X2
| ~ epred1_4(X1,X3,X4,X5)
| epred1_4(X2,X3,X4,X5) ) ).
cnf(i_0_698,axiom,
( X1 != X2
| ~ epred1_4(X3,X1,X4,X5)
| epred1_4(X3,X2,X4,X5) ) ).
cnf(i_0_699,axiom,
( X1 != X2
| ~ epred1_4(X3,X4,X1,X5)
| epred1_4(X3,X4,X2,X5) ) ).
cnf(i_0_700,axiom,
( X1 != X2
| ~ epred1_4(X3,X4,X5,X1)
| epred1_4(X3,X4,X5,X2) ) ).
cnf(i_0_701,axiom,
( X1 != X2
| ~ epred2_4(X1,X3,X4,X5)
| epred2_4(X2,X3,X4,X5) ) ).
cnf(i_0_702,axiom,
( X1 != X2
| ~ epred2_4(X3,X1,X4,X5)
| epred2_4(X3,X2,X4,X5) ) ).
cnf(i_0_703,axiom,
( X1 != X2
| ~ epred2_4(X3,X4,X1,X5)
| epred2_4(X3,X4,X2,X5) ) ).
cnf(i_0_704,axiom,
( X1 != X2
| ~ epred2_4(X3,X4,X5,X1)
| epred2_4(X3,X4,X5,X2) ) ).
cnf(i_0_705,axiom,
( X1 != X2
| ~ visFreeVar(X1,X3)
| visFreeVar(X2,X3) ) ).
cnf(i_0_706,axiom,
( X1 != X2
| ~ visFreeVar(X3,X1)
| visFreeVar(X3,X2) ) ).
cnf(i_0_707,axiom,
( X1 != X2
| ~ visSomeExp(X1)
| visSomeExp(X2) ) ).
cnf(i_0_708,axiom,
( X1 != X2
| ~ vtcheck(X1,X3,X4)
| vtcheck(X2,X3,X4) ) ).
cnf(i_0_709,axiom,
( X1 != X2
| ~ vtcheck(X3,X1,X4)
| vtcheck(X3,X2,X4) ) ).
cnf(i_0_710,axiom,
( X1 != X2
| ~ vtcheck(X3,X4,X1)
| vtcheck(X3,X4,X2) ) ).
cnf(i_0_711,axiom,
( X1 != X2
| ~ epred3_2(X1,X3)
| epred3_2(X2,X3) ) ).
cnf(i_0_712,axiom,
( X1 != X2
| ~ epred3_2(X3,X1)
| epred3_2(X3,X2) ) ).
cnf(i_0_713,axiom,
( X1 != X2
| ~ visValue(X1)
| visValue(X2) ) ).
cnf(i_0_714,axiom,
( X1 != X2
| ~ epred4_2(X1,X3)
| epred4_2(X2,X3) ) ).
cnf(i_0_715,axiom,
( X1 != X2
| ~ epred4_2(X3,X1)
| epred4_2(X3,X2) ) ).
cnf(i_0_716,axiom,
( X1 != X2
| ~ visSomeType(X1)
| visSomeType(X2) ) ).
cnf(i_0_757,plain,
X1 = X1,
inference(equality_inference,[],[492]) ).
cnf(i_0_758,plain,
X1 = X1,
inference(equality_inference,[],[493]) ).
cnf(i_0_759,plain,
X1 = X1,
inference(equality_inference,[],[494]) ).
cnf(i_0_760,plain,
X1 = X1,
inference(equality_inference,[],[495]) ).
cnf(i_0_761,plain,
X1 = X1,
inference(equality_inference,[],[496]) ).
cnf(i_0_762,plain,
X1 = X1,
inference(equality_inference,[],[497]) ).
cnf(i_0_765,plain,
visValue(vabs(X1,X2,X3)),
inference(equality_inference,[],[533]) ).
cnf(i_0_769,plain,
X1 = X1,
inference(equality_inference,[],[547]) ).
cnf(i_0_770,plain,
X1 = X1,
inference(equality_inference,[],[548]) ).
cnf(i_0_771,plain,
X1 = X1,
inference(equality_inference,[],[549]) ).
cnf(i_0_772,plain,
X1 = X1,
inference(equality_inference,[],[550]) ).
cnf(i_0_773,plain,
~ visValue(vapp(X1,X2)),
inference(equality_inference,[],[553]) ).
cnf(i_0_774,plain,
~ visFreeVar(vgensym(X1),X1),
inference(equality_inference,[],[554]) ).
cnf(i_0_776,plain,
~ visValue(vvar(X1)),
inference(equality_inference,[],[561]) ).
cnf(i_0_777,plain,
X1 = X1,
inference(equality_inference,[],[562]) ).
cnf(i_0_778,plain,
X1 = X1,
inference(equality_inference,[],[563]) ).
cnf(i_0_779,plain,
X1 = X1,
inference(equality_inference,[],[564]) ).
cnf(i_0_780,plain,
visSomeExp(vsomeExp(X1)),
inference(equality_inference,[],[565]) ).
cnf(i_0_781,plain,
visSomeType(vsomeType(X1)),
inference(equality_inference,[],[566]) ).
cnf(i_0_782,plain,
~ visSomeExp(vnoExp),
inference(equality_inference,[],[567]) ).
cnf(i_0_783,plain,
~ visSomeType(vnoType),
inference(equality_inference,[],[568]) ).
cnf(i_0_785,plain,
vvar(X1) != vabs(X2,X3,X4),
inference(rename_variables,[],[i_0_532]) ).
cnf(i_0_788,plain,
vabs(X1,X2,X3) != vapp(X4,X5),
inference(rename_variables,[],[i_0_526]) ).
cnf(i_0_806,plain,
vvar(X1) != vapp(X2,X3),
inference(rename_variables,[],[i_0_556]) ).
cnf(i_0_809,plain,
vvar(X1) != vabs(X2,X3,X4),
inference(rename_variables,[],[i_0_532]) ).
cnf(i_0_812,plain,
vvar(X1) != vabs(X2,X3,X4),
inference(rename_variables,[],[i_0_532]) ).
cnf(i_0_817,plain,
vabs(X1,X2,X3) != vapp(X4,X5),
inference(rename_variables,[],[i_0_526]) ).
cnf(i_0_820,plain,
vnoExp != vsomeExp(X1),
inference(rename_variables,[],[i_0_569]) ).
cnf(i_0_821,plain,
vabs(X1,X2,X3) != vapp(X4,X5),
inference(rename_variables,[],[i_0_526]) ).
cnf(i_0_823,plain,
vempty != vbind(X1,X2,X3),
inference(rename_variables,[],[i_0_536]) ).
cnf(i_0_824,plain,
vempty != vbind(X1,X2,X3),
inference(rename_variables,[],[i_0_536]) ).
cnf(i_0_825,plain,
vempty != vbind(X1,X2,X3),
inference(rename_variables,[],[i_0_536]) ).
cnf(i_0_826,plain,
vvar(X1) != vabs(X2,X3,X4),
inference(rename_variables,[],[i_0_532]) ).
cnf(i_0_833,plain,
vvar(X1) != vabs(X2,X3,X4),
inference(rename_variables,[],[i_0_532]) ).
cnf(i_0_868,plain,
vvar(X1) != vabs(X2,X3,X4),
inference(rename_variables,[],[i_0_532]) ).
cnf(i_0_869,plain,
vvar(X1) != vapp(X2,X3),
inference(rename_variables,[],[i_0_556]) ).
cnf(i_0_880,plain,
vvar(X1) != vapp(X2,X3),
inference(rename_variables,[],[i_0_556]) ).
cnf(i_0_883,plain,
vvar(X1) != vapp(X2,X3),
inference(rename_variables,[],[i_0_556]) ).
cnf(i_0_889,plain,
vempty != vbind(X1,X2,X3),
inference(rename_variables,[],[i_0_536]) ).
cnf(i_0_893,plain,
vempty != vbind(X1,X2,X3),
inference(rename_variables,[],[i_0_536]) ).
cnf(i_0_895,plain,
vvar(X1) != vabs(X2,X3,X4),
inference(rename_variables,[],[i_0_532]) ).
cnf(i_0_899,plain,
vempty != vbind(X1,X2,X3),
inference(rename_variables,[],[i_0_536]) ).
cnf(i_0_924,plain,
vempty != vbind(X1,X2,X3),
inference(rename_variables,[],[i_0_536]) ).
cnf(i_0_927,plain,
vempty != vbind(X1,X2,X3),
inference(rename_variables,[],[i_0_536]) ).
cnf(i_0_928,plain,
vvar(X1) != vabs(X2,X3,X4),
inference(rename_variables,[],[i_0_532]) ).
cnf(i_0_943,plain,
vabs(X1,X2,X3) != vapp(X4,X5),
inference(rename_variables,[],[i_0_526]) ).
cnf(i_0_998,plain,
vvar(X1) != vapp(X2,X3),
inference(rename_variables,[],[i_0_556]) ).
cnf(i_0_1019,plain,
vempty != vbind(X1,X2,X3),
inference(rename_variables,[],[i_0_536]) ).
cnf(i_0_1046,plain,
vempty != vbind(X1,X2,X3),
inference(rename_variables,[],[i_0_536]) ).
cnf(i_0_1070,plain,
vabs(X1,X2,X3) != vapp(X4,X5),
inference(rename_variables,[],[i_0_526]) ).
cnf(i_0_1101,plain,
vabs(X1,X2,X3) != vapp(X4,X5),
inference(rename_variables,[],[i_0_526]) ).
cnf(i_0_1115,plain,
vvar(X1) != vabs(X2,X3,X4),
inference(rename_variables,[],[i_0_532]) ).
cnf(i_0_1173,plain,
vvar(X1) != vabs(X2,X3,X4),
inference(rename_variables,[],[i_0_532]) ).
cnf(i_0_1191,plain,
vvar(X1) != vapp(X2,X3),
inference(rename_variables,[],[i_0_556]) ).
cnf(i_0_1196,plain,
vvar(X1) != vabs(X2,X3,X4),
inference(rename_variables,[],[i_0_532]) ).
cnf(i_0_1197,plain,
vvar(X1) != vabs(X2,X3,X4),
inference(rename_variables,[],[i_0_532]) ).
cnf(i_0_1199,plain,
vvar(X1) != vabs(X2,X3,X4),
inference(rename_variables,[],[i_0_532]) ).
cnf(i_0_1200,plain,
vvar(X1) != vapp(X2,X3),
inference(rename_variables,[],[i_0_556]) ).
cnf(i_0_1211,plain,
vvar(X1) != vabs(X2,X3,X4),
inference(rename_variables,[],[i_0_532]) ).
cnf(i_0_1212,plain,
vvar(X1) != vapp(X2,X3),
inference(rename_variables,[],[i_0_556]) ).
cnf(i_0_1223,plain,
vempty != vbind(X1,X2,X3),
inference(rename_variables,[],[i_0_536]) ).
cnf(i_0_1231,plain,
vempty != vbind(X1,X2,X3),
inference(rename_variables,[],[i_0_536]) ).
cnf(i_0_1234,plain,
vempty != vbind(X1,X2,X3),
inference(rename_variables,[],[i_0_536]) ).
cnf(i_0_1242,plain,
vempty != vbind(X1,X2,X3),
inference(rename_variables,[],[i_0_536]) ).
cnf(i_0_1252,plain,
vvar(X1) != vabs(X2,X3,X4),
inference(rename_variables,[],[i_0_532]) ).
cnf(i_0_1253,plain,
vvar(X1) != vapp(X2,X3),
inference(rename_variables,[],[i_0_556]) ).
cnf(i_0_1282,plain,
vnoType != vsomeType(X1),
inference(rename_variables,[],[i_0_570]) ).
cnf(i_0_1283,plain,
vempty != vbind(X1,X2,X3),
inference(rename_variables,[],[i_0_536]) ).
cnf(i_0_1297,plain,
vempty != vbind(X1,X2,X3),
inference(rename_variables,[],[i_0_536]) ).
cnf(i_0_1300,plain,
vnoType != vsomeType(X1),
inference(rename_variables,[],[i_0_570]) ).
cnf(i_0_1301,plain,
vempty != vbind(X1,X2,X3),
inference(rename_variables,[],[i_0_536]) ).
cnf(i_0_1411,plain,
vabs(X1,X2,X3) != vapp(X4,X5),
inference(rename_variables,[],[i_0_526]) ).
cnf(i_0_1467,plain,
vvar(X1) != vabs(X2,X3,X4),
inference(rename_variables,[],[i_0_532]) ).
cnf(i_0_1469,plain,
vempty != vbind(X1,X2,X3),
inference(rename_variables,[],[i_0_536]) ).
cnf(i_0_1473,plain,
vempty != vbind(X1,X2,X3),
inference(rename_variables,[],[i_0_536]) ).
cnf(i_0_1499,plain,
vempty != vbind(X1,X2,X3),
inference(rename_variables,[],[i_0_536]) ).
cnf(i_0_1501,plain,
vempty != vbind(X1,X2,X3),
inference(rename_variables,[],[i_0_536]) ).
cnf(i_0_1544,plain,
vvar(X1) != vabs(X2,X3,X4),
inference(rename_variables,[],[i_0_532]) ).
cnf(i_0_1583,plain,
vabs(X1,X2,X3) != vapp(X4,X5),
inference(rename_variables,[],[i_0_526]) ).
cnf(i_0_1587,plain,
vabs(X1,X2,X3) != vapp(X4,X5),
inference(rename_variables,[],[i_0_526]) ).
cnf(i_0_1618,plain,
vnoExp != vsomeExp(X1),
inference(rename_variables,[],[i_0_569]) ).
cnf(i_0_1619,plain,
vabs(X1,X2,X3) != vapp(X4,X5),
inference(rename_variables,[],[i_0_526]) ).
cnf(i_0_1622,plain,
vnoExp != vsomeExp(X1),
inference(rename_variables,[],[i_0_569]) ).
cnf(i_0_1623,plain,
vabs(X1,X2,X3) != vapp(X4,X5),
inference(rename_variables,[],[i_0_526]) ).
cnf(i_0_1663,plain,
vvar(X1) != vapp(X2,X3),
inference(rename_variables,[],[i_0_556]) ).
cnf(i_0_1666,plain,
vempty != vbind(X1,X2,X3),
inference(rename_variables,[],[i_0_536]) ).
cnf(i_0_1668,plain,
vempty != vbind(X1,X2,X3),
inference(rename_variables,[],[i_0_536]) ).
cnf(i_0_1670,plain,
vempty != vbind(X1,X2,X3),
inference(rename_variables,[],[i_0_536]) ).
cnf(i_0_1671,plain,
vempty != vbind(X1,X2,X3),
inference(rename_variables,[],[i_0_536]) ).
cnf(i_0_1683,plain,
vabs(X1,X2,X3) != vapp(X4,X5),
inference(rename_variables,[],[i_0_526]) ).
cnf(i_0_1689,plain,
vempty != vbind(X1,X2,X3),
inference(rename_variables,[],[i_0_536]) ).
cnf(i_0_1709,plain,
vabs(X1,X2,X3) != vapp(X4,X5),
inference(rename_variables,[],[i_0_526]) ).
cnf(i_0_1718,plain,
vvar(X1) != vapp(X2,X3),
inference(rename_variables,[],[i_0_556]) ).
cnf(i_0_1735,plain,
vempty != vbind(X1,X2,X3),
inference(rename_variables,[],[i_0_536]) ).
cnf(i_0_1789,plain,
vvar(X1) != vapp(X2,X3),
inference(rename_variables,[],[i_0_556]) ).
cnf(i_0_1790,plain,
vvar(X1) != vabs(X2,X3,X4),
inference(rename_variables,[],[i_0_532]) ).
cnf(i_0_1812,plain,
vvar(X1) != vapp(X2,X3),
inference(rename_variables,[],[i_0_556]) ).
cnf(i_0_1813,plain,
vvar(X1) != vabs(X2,X3,X4),
inference(rename_variables,[],[i_0_532]) ).
cnf(i_0_1818,plain,
vempty != vbind(X1,X2,X3),
inference(rename_variables,[],[i_0_536]) ).
cnf(i_0_1821,plain,
vempty != vbind(X1,X2,X3),
inference(rename_variables,[],[i_0_536]) ).
cnf(i_0_1844,plain,
vempty != vbind(X1,X2,X3),
inference(rename_variables,[],[i_0_536]) ).
cnf(i_0_1847,plain,
vempty != vbind(X1,X2,X3),
inference(rename_variables,[],[i_0_536]) ).
cnf(i_0_1850,plain,
vempty != vbind(X1,X2,X3),
inference(rename_variables,[],[i_0_536]) ).
cnf(i_0_1853,plain,
vempty != vbind(X1,X2,X3),
inference(rename_variables,[],[i_0_536]) ).
cnf(i_0_1855,plain,
vnoExp != vsomeExp(X1),
inference(rename_variables,[],[i_0_569]) ).
cnf(i_0_1858,plain,
vabs(X1,X2,X3) != vapp(X4,X5),
inference(rename_variables,[],[i_0_526]) ).
cnf(i_0_1880,plain,
vempty != vbind(X1,X2,X3),
inference(rename_variables,[],[i_0_536]) ).
cnf(i_0_1885,plain,
vvar(X1) != vabs(X2,X3,X4),
inference(rename_variables,[],[i_0_532]) ).
cnf(i_0_1899,plain,
vempty != vbind(X1,X2,X3),
inference(rename_variables,[],[i_0_536]) ).
cnf(i_0_1921,plain,
vempty != vbind(X1,X2,X3),
inference(rename_variables,[],[i_0_536]) ).
cnf(i_0_1946,plain,
vnoExp != vsomeExp(X1),
inference(rename_variables,[],[i_0_569]) ).
cnf(i_0_1947,plain,
vnoExp != vsomeExp(X1),
inference(rename_variables,[],[i_0_569]) ).
cnf(i_0_1991,plain,
vabs(X1,X2,X3) != vapp(X4,X5),
inference(rename_variables,[],[i_0_526]) ).
cnf(i_0_2073,plain,
vnoExp != vsomeExp(X1),
inference(rename_variables,[],[i_0_569]) ).
cnf(i_0_2074,plain,
vvar(X1) != vapp(X2,X3),
inference(rename_variables,[],[i_0_556]) ).
cnf(i_0_2110,plain,
vvar(X1) != vapp(X2,X3),
inference(rename_variables,[],[i_0_556]) ).
cnf(i_0_2141,plain,
vabs(X1,X2,X3) != vapp(X4,X5),
inference(rename_variables,[],[i_0_526]) ).
cnf(i_0_2144,plain,
vabs(X1,X2,X3) != vapp(X4,X5),
inference(rename_variables,[],[i_0_526]) ).
cnf(i_0_2147,plain,
vabs(X1,X2,X3) != vapp(X4,X5),
inference(rename_variables,[],[i_0_526]) ).
cnf(i_0_2152,plain,
vabs(X1,X2,X3) != vapp(X4,X5),
inference(rename_variables,[],[i_0_526]) ).
cnf(i_0_2172,plain,
vabs(X1,X2,X3) != vapp(X4,X5),
inference(rename_variables,[],[i_0_526]) ).
cnf(i_0_2190,plain,
vempty != vbind(X1,X2,X3),
inference(rename_variables,[],[i_0_536]) ).
cnf(i_0_2227,plain,
vvar(X1) != vapp(X2,X3),
inference(rename_variables,[],[i_0_556]) ).
cnf(i_0_2260,plain,
vabs(X1,X2,X3) != vapp(X4,X5),
inference(rename_variables,[],[i_0_526]) ).
cnf(i_0_2263,plain,
vabs(X1,X2,X3) != vapp(X4,X5),
inference(rename_variables,[],[i_0_526]) ).
cnf(i_0_2288,plain,
vabs(X1,X2,X3) != vapp(X4,X5),
inference(rename_variables,[],[i_0_526]) ).
cnf(i_0_2297,plain,
vvar(X1) != vabs(X2,X3,X4),
inference(rename_variables,[],[i_0_532]) ).
cnf(i_0_2323,plain,
vvar(X1) != vapp(X2,X3),
inference(rename_variables,[],[i_0_556]) ).
cnf(i_0_2327,plain,
vvar(X1) != vapp(X2,X3),
inference(rename_variables,[],[i_0_556]) ).
cnf(i_0_2328,plain,
vvar(X1) != vabs(X2,X3,X4),
inference(rename_variables,[],[i_0_532]) ).
cnf(i_0_2334,plain,
vempty != vbind(X1,X2,X3),
inference(rename_variables,[],[i_0_536]) ).
cnf(i_0_2335,plain,
vvar(X1) != vabs(X2,X3,X4),
inference(rename_variables,[],[i_0_532]) ).
cnf(i_0_2360,plain,
vvar(X1) != vapp(X2,X3),
inference(rename_variables,[],[i_0_556]) ).
cnf(i_0_2362,plain,
vvar(X1) != vabs(X2,X3,X4),
inference(rename_variables,[],[i_0_532]) ).
cnf(i_0_2365,plain,
vvar(X1) != vapp(X2,X3),
inference(rename_variables,[],[i_0_556]) ).
cnf(i_0_2366,plain,
vvar(X1) != vabs(X2,X3,X4),
inference(rename_variables,[],[i_0_532]) ).
cnf(i_0_2396,plain,
vvar(X1) != vapp(X2,X3),
inference(rename_variables,[],[i_0_556]) ).
cnf(i_0_2397,plain,
vvar(X1) != vabs(X2,X3,X4),
inference(rename_variables,[],[i_0_532]) ).
cnf(i_0_2520,plain,
vvar(X1) != vapp(X2,X3),
inference(rename_variables,[],[i_0_556]) ).
cnf(i_0_2523,plain,
vvar(X1) != vapp(X2,X3),
inference(rename_variables,[],[i_0_556]) ).
cnf(i_0_2526,plain,
vvar(X1) != vapp(X2,X3),
inference(rename_variables,[],[i_0_556]) ).
cnf(i_0_2531,plain,
vvar(X1) != vapp(X2,X3),
inference(rename_variables,[],[i_0_556]) ).
cnf(i_0_2547,plain,
vvar(X1) != vapp(X2,X3),
inference(rename_variables,[],[i_0_556]) ).
cnf(i_0_2625,plain,
vnoExp != vsomeExp(X1),
inference(rename_variables,[],[i_0_569]) ).
cnf(i_0_2628,plain,
vabs(X1,X2,X3) != vapp(X4,X5),
inference(rename_variables,[],[i_0_526]) ).
cnf(i_0_2645,plain,
vnoExp != vsomeExp(X1),
inference(rename_variables,[],[i_0_569]) ).
cnf(i_0_2655,plain,
vnoExp != vsomeExp(X1),
inference(rename_variables,[],[i_0_569]) ).
cnf(i_0_2656,plain,
vempty != vbind(X1,X2,X3),
inference(rename_variables,[],[i_0_536]) ).
cnf(i_0_2670,plain,
vabs(X1,X2,X3) != vapp(X4,X5),
inference(rename_variables,[],[i_0_526]) ).
cnf(i_0_2708,plain,
vvar(X1) != vapp(X2,X3),
inference(rename_variables,[],[i_0_556]) ).
cnf(i_0_2709,plain,
vvar(X1) != vabs(X2,X3,X4),
inference(rename_variables,[],[i_0_532]) ).
cnf(i_0_2734,plain,
vvar(X1) != vabs(X2,X3,X4),
inference(rename_variables,[],[i_0_532]) ).
cnf(i_0_2739,plain,
vvar(X1) != vabs(X2,X3,X4),
inference(rename_variables,[],[i_0_532]) ).
cnf(i_0_2741,plain,
vabs(X1,X2,X3) != vapp(X4,X5),
inference(rename_variables,[],[i_0_526]) ).
cnf(i_0_2764,plain,
vnoExp != vsomeExp(X1),
inference(rename_variables,[],[i_0_569]) ).
cnf(i_0_2765,plain,
vvar(X1) != vabs(X2,X3,X4),
inference(rename_variables,[],[i_0_532]) ).
cnf(i_0_2766,plain,
vvar(X1) != vapp(X2,X3),
inference(rename_variables,[],[i_0_556]) ).
cnf(i_0_2776,plain,
vempty != vbind(X1,X2,X3),
inference(rename_variables,[],[i_0_536]) ).
cnf(i_0_2791,plain,
vnoExp != vsomeExp(X1),
inference(rename_variables,[],[i_0_569]) ).
cnf(i_0_2792,plain,
vabs(X1,X2,X3) != vapp(X4,X5),
inference(rename_variables,[],[i_0_526]) ).
cnf(i_0_2806,plain,
vempty != vbind(X1,X2,X3),
inference(rename_variables,[],[i_0_536]) ).
cnf(i_0_2808,plain,
vvar(X1) != vabs(X2,X3,X4),
inference(rename_variables,[],[i_0_532]) ).
cnf(i_0_2828,plain,
vvar(X1) != vabs(X2,X3,X4),
inference(rename_variables,[],[i_0_532]) ).
cnf(i_0_2829,plain,
vvar(X1) != vabs(X2,X3,X4),
inference(rename_variables,[],[i_0_532]) ).
cnf(i_0_2911,plain,
vnoExp != vsomeExp(X1),
inference(rename_variables,[],[i_0_569]) ).
cnf(i_0_2913,plain,
vnoExp != vsomeExp(X1),
inference(rename_variables,[],[i_0_569]) ).
cnf(i_0_2932,plain,
vvar(X1) != vabs(X2,X3,X4),
inference(rename_variables,[],[i_0_532]) ).
cnf(i_0_2941,plain,
vvar(X1) != vabs(X2,X3,X4),
inference(rename_variables,[],[i_0_532]) ).
cnf(i_0_2942,plain,
vvar(X1) != vabs(X2,X3,X4),
inference(rename_variables,[],[i_0_532]) ).
cnf(i_0_2982,plain,
vnoExp != vsomeExp(X1),
inference(rename_variables,[],[i_0_569]) ).
cnf(i_0_2983,plain,
vnoExp != vsomeExp(X1),
inference(rename_variables,[],[i_0_569]) ).
cnf(i_0_2984,plain,
vnoExp != vsomeExp(X1),
inference(rename_variables,[],[i_0_569]) ).
cnf(i_0_3003,plain,
vvar(X1) != vabs(X2,X3,X4),
inference(rename_variables,[],[i_0_532]) ).
cnf(i_0_3020,plain,
vvar(X1) != vabs(X2,X3,X4),
inference(rename_variables,[],[i_0_532]) ).
cnf(i_0_3021,plain,
vnoType != vsomeType(X1),
inference(rename_variables,[],[i_0_570]) ).
cnf(i_0_3027,plain,
vvar(X1) != vabs(X2,X3,X4),
inference(rename_variables,[],[i_0_532]) ).
cnf(i_0_3047,plain,
vnoExp != vsomeExp(X1),
inference(rename_variables,[],[i_0_569]) ).
cnf(i_0_3049,plain,
vnoExp != vsomeExp(X1),
inference(rename_variables,[],[i_0_569]) ).
cnf(i_0_3050,plain,
vnoExp != vsomeExp(X1),
inference(rename_variables,[],[i_0_569]) ).
cnf(i_0_3258,plain,
vvar(X1) != vabs(X2,X3,X4),
inference(rename_variables,[],[i_0_532]) ).
cnf(i_0_3308,plain,
vempty != vbind(X1,X2,X3),
inference(rename_variables,[],[i_0_536]) ).
cnf(i_0_3312,plain,
vabs(X1,X2,X3) != vapp(X4,X5),
inference(rename_variables,[],[i_0_526]) ).
cnf(i_0_3352,plain,
vvar(X1) != vabs(X2,X3,X4),
inference(rename_variables,[],[i_0_532]) ).
cnf(i_0_3579,plain,
vempty != vbind(X1,X2,X3),
inference(rename_variables,[],[i_0_536]) ).
cnf(i_0_3591,plain,
vvar(X1) != vapp(X2,X3),
inference(rename_variables,[],[i_0_556]) ).
cnf(i_0_3607,plain,
vabs(X1,X2,X3) != vapp(X4,X5),
inference(rename_variables,[],[i_0_526]) ).
cnf(i_0_3610,plain,
vnoExp != vsomeExp(X1),
inference(rename_variables,[],[i_0_569]) ).
cnf(i_0_3619,plain,
vvar(X1) != vabs(X2,X3,X4),
inference(rename_variables,[],[i_0_532]) ).
cnf(i_0_3620,plain,
vvar(X1) != vapp(X2,X3),
inference(rename_variables,[],[i_0_556]) ).
cnf(i_0_3906,plain,
vvar(X1) != vapp(X2,X3),
inference(rename_variables,[],[i_0_556]) ).
cnf(i_0_3912,plain,
vabs(X1,X2,X3) != vapp(X4,X5),
inference(rename_variables,[],[i_0_526]) ).
cnf(i_0_784,plain,
epred2_4(vsubst(X1,X2,vvar(X3)),vvar(X3),X2,X1),
inference(scs_inference,[],[i_0_532,i_0_719]) ).
cnf(i_0_787,plain,
epred4_2(vreduce(vabs(X1,X2,X3)),vabs(X1,X2,X3)),
inference(scs_inference,[],[i_0_526,i_0_532,i_0_719,i_0_766]) ).
cnf(i_0_790,plain,
esk34_0 != vbind(esk32_0,esk33_0,esk34_0),
inference(scs_inference,[],[i_0_464,i_0_540,i_0_526,i_0_532,i_0_719,i_0_766,i_0_708]) ).
cnf(i_0_791,plain,
vsomeExp(X1) != vnoExp,
inference(scs_inference,[],[i_0_464,i_0_540,i_0_780,i_0_526,i_0_532,i_0_782,i_0_719,i_0_766,i_0_708,i_0_707]) ).
cnf(i_0_792,plain,
vsomeType(X1) != vnoType,
inference(scs_inference,[],[i_0_464,i_0_540,i_0_780,i_0_781,i_0_526,i_0_532,i_0_782,i_0_783,i_0_719,i_0_766,i_0_708,i_0_707,i_0_716]) ).
cnf(i_0_805,plain,
epred4_2(vreduce(vvar(X1)),vvar(X1)),
inference(scs_inference,[],[i_0_556,i_0_766]) ).
cnf(i_0_828,plain,
epred4_2(vreduce(vabs(X1,X2,X3)),vabs(X1,X2,X3)),
inference(equality_inference,[],[816]) ).
cnf(i_0_829,plain,
vabs(X1,X2,X3) != vvar(X4),
inference(scs_inference,[],[i_0_765,i_0_776,i_0_713]) ).
cnf(i_0_836,plain,
~ visFreeVar(vgensym(X1),X1),
inference(rename_variables,[],[i_0_774]) ).
cnf(i_0_891,plain,
epred4_2(vreduce(vvar(X1)),vvar(X1)),
inference(equality_inference,[],[879]) ).
cnf(i_0_947,plain,
~ visFreeVar(vgensym(X1),X1),
inference(rename_variables,[],[i_0_774]) ).
cnf(i_0_1040,plain,
~ visFreeVar(vgensym(X1),X1),
inference(rename_variables,[],[i_0_774]) ).
cnf(i_0_2594,plain,
visValue(vabs(X1,X2,X3)),
inference(rename_variables,[],[i_0_765]) ).
cnf(i_0_2648,plain,
visValue(vabs(X1,X2,X3)),
inference(rename_variables,[],[i_0_765]) ).
cnf(i_0_2692,plain,
visValue(vabs(X1,X2,X3)),
inference(rename_variables,[],[i_0_765]) ).
cnf(i_0_3903,plain,
~ visValue(vapp(X1,X2)),
inference(rename_variables,[],[i_0_773]) ).
cnf(i_0_801,plain,
~ visFreeVar(esk32_0,vapp(ve1app,ve2app)),
inference(equality_inference,[],[795]) ).
cnf(i_0_802,plain,
~ visFreeVar(esk32_0,vapp(ve1app,ve2app)),
inference(equality_inference,[],[796]) ).
cnf(i_0_803,plain,
~ vtcheck(vbind(esk32_0,esk33_0,esk34_0),vapp(ve1app,ve2app),esk35_0),
inference(equality_inference,[],[797]) ).
cnf(i_0_804,plain,
~ vtcheck(vbind(esk32_0,esk33_0,esk34_0),vapp(ve1app,ve2app),esk35_0),
inference(equality_inference,[],[798]) ).
cnf(i_0_815,plain,
epred2_4(vsubst(X1,X2,vvar(X3)),vvar(X3),X2,X1),
inference(equality_inference,[],[811]) ).
cnf(i_0_845,plain,
~ epred1_4(X1,vabs(X2,X3,X4),vsubst(X5,X6,vvar(X7)),X8),
inference(scs_inference,[],[i_0_829,i_0_841]) ).
cnf(i_0_846,plain,
vabs(X1,X2,X3) != vvar(X4),
inference(rename_variables,[],[i_0_829]) ).
cnf(i_0_849,plain,
vabs(X1,X2,X3) != vvar(X4),
inference(rename_variables,[],[i_0_829]) ).
cnf(i_0_852,plain,
vabs(X1,X2,X3) != vvar(X4),
inference(rename_variables,[],[i_0_829]) ).
cnf(i_0_855,plain,
vabs(X1,X2,X3) != vvar(X4),
inference(rename_variables,[],[i_0_829]) ).
cnf(i_0_858,plain,
vabs(X1,X2,X3) != vvar(X4),
inference(rename_variables,[],[i_0_829]) ).
cnf(i_0_861,plain,
vabs(X1,X2,X3) != vvar(X4),
inference(rename_variables,[],[i_0_829]) ).
cnf(i_0_864,plain,
vabs(X1,X2,X3) != vvar(X4),
inference(rename_variables,[],[i_0_829]) ).
cnf(i_0_872,plain,
vabs(X1,X2,X3) != vvar(X4),
inference(rename_variables,[],[i_0_829]) ).
cnf(i_0_873,plain,
vabs(X1,X2,X3) != vvar(X4),
inference(rename_variables,[],[i_0_829]) ).
cnf(i_0_874,plain,
vabs(X1,X2,X3) != vvar(X4),
inference(rename_variables,[],[i_0_829]) ).
cnf(i_0_875,plain,
vabs(X1,X2,X3) != vvar(X4),
inference(rename_variables,[],[i_0_829]) ).
cnf(c_0_572,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_359 ).
cnf(c_0_573,negated_conjecture,
vtcheck(esk34_0,vapp(ve1app,ve2app),esk35_0),
i_0_540 ).
cnf(c_0_574,plain,
vabs(X1,X2,X3) != vapp(X4,X5),
i_0_526 ).
cnf(c_0_575,plain,
vvar(X1) != vapp(X2,X3),
i_0_556 ).
cnf(c_0_576,plain,
( X1 = X2
| vapp(X1,X3) != vapp(X2,X4) ),
i_0_549 ).
cnf(c_0_577,negated_conjecture,
vapp(esk29_3(vapp(ve1app,ve2app),esk35_0,esk34_0),esk30_3(vapp(ve1app,ve2app),esk35_0,esk34_0)) = vapp(ve1app,ve2app),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_572,c_0_573]),c_0_574]),c_0_575]) ).
cnf(c_0_578,plain,
( esk29_3(vapp(ve1app,ve2app),esk35_0,esk34_0) = X1
| vapp(ve1app,ve2app) != vapp(X1,X2) ),
inference(spm,[status(thm)],[c_0_576,c_0_577]) ).
cnf(c_0_579,plain,
esk29_3(vapp(ve1app,ve2app),esk35_0,esk34_0) = ve1app,
inference(er,[status(thm)],[c_0_578]) ).
cnf(c_0_580,plain,
( X1 = X2
| vapp(X3,X1) != vapp(X4,X2) ),
i_0_550 ).
cnf(c_0_581,negated_conjecture,
vapp(ve1app,esk30_3(vapp(ve1app,ve2app),esk35_0,esk34_0)) = vapp(ve1app,ve2app),
inference(rw,[status(thm)],[c_0_577,c_0_579]) ).
cnf(c_0_582,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_338 ).
cnf(c_0_583,plain,
( esk30_3(vapp(ve1app,ve2app),esk35_0,esk34_0) = X1
| vapp(ve1app,ve2app) != vapp(X2,X1) ),
inference(spm,[status(thm)],[c_0_580,c_0_581]) ).
cnf(c_0_584,plain,
( visFreeVar(X1,ve1app)
| vtcheck(vbind(X1,X2,X3),ve1app,X4)
| ~ vtcheck(X3,ve1app,X4) ),
i_0_469 ).
cnf(c_0_585,negated_conjecture,
vtcheck(esk34_0,ve1app,varrow(esk31_3(vapp(ve1app,ve2app),esk35_0,esk34_0),esk35_0)),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_582,c_0_573]),c_0_579]),c_0_574]),c_0_575]) ).
cnf(c_0_586,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_354 ).
cnf(c_0_587,plain,
esk30_3(vapp(ve1app,ve2app),esk35_0,esk34_0) = ve2app,
inference(er,[status(thm)],[c_0_583]) ).
cnf(c_0_588,plain,
( vtcheck(X1,vapp(X2,X3),X4)
| ~ vtcheck(X1,X2,varrow(X5,X4))
| ~ vtcheck(X1,X3,X5) ),
i_0_457 ).
cnf(c_0_589,plain,
( vtcheck(vbind(X1,X2,esk34_0),ve1app,varrow(esk31_3(vapp(ve1app,ve2app),esk35_0,esk34_0),esk35_0))
| visFreeVar(X1,ve1app) ),
inference(spm,[status(thm)],[c_0_584,c_0_585]) ).
cnf(c_0_590,plain,
( visFreeVar(X1,ve2app)
| vtcheck(vbind(X1,X2,X3),ve2app,X4)
| ~ vtcheck(X3,ve2app,X4) ),
i_0_468 ).
cnf(c_0_591,negated_conjecture,
vtcheck(esk34_0,ve2app,esk31_3(vapp(ve1app,ve2app),esk35_0,esk34_0)),
inference(rw,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_586,c_0_573]),c_0_574]),c_0_575]),c_0_587]) ).
cnf(c_0_592,plain,
( visFreeVar(X1,X2)
| ~ visFreeVar(X3,X4)
| X1 != X3
| X2 != vapp(X5,X4) ),
i_0_545 ).
cnf(c_0_593,plain,
( visFreeVar(X1,X2)
| ~ visFreeVar(X3,X4)
| X1 != X3
| X2 != vapp(X4,X5) ),
i_0_544 ).
cnf(c_0_594,plain,
( vtcheck(vbind(X1,X2,esk34_0),vapp(ve1app,X3),esk35_0)
| visFreeVar(X1,ve1app)
| ~ vtcheck(vbind(X1,X2,esk34_0),X3,esk31_3(vapp(ve1app,ve2app),esk35_0,esk34_0)) ),
inference(spm,[status(thm)],[c_0_588,c_0_589]) ).
cnf(c_0_595,plain,
( vtcheck(vbind(X1,X2,esk34_0),ve2app,esk31_3(vapp(ve1app,ve2app),esk35_0,esk34_0))
| visFreeVar(X1,ve2app) ),
inference(spm,[status(thm)],[c_0_590,c_0_591]) ).
cnf(c_0_596,negated_conjecture,
~ visFreeVar(esk32_0,vapp(ve1app,ve2app)),
i_0_546 ).
cnf(c_0_597,plain,
( visFreeVar(X1,vapp(X2,X3))
| ~ visFreeVar(X1,X3) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_592])]) ).
cnf(c_0_598,plain,
( visFreeVar(X1,vapp(X2,X3))
| ~ visFreeVar(X1,X2) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_593])]) ).
cnf(c_0_599,negated_conjecture,
~ vtcheck(vbind(esk32_0,esk33_0,esk34_0),vapp(ve1app,ve2app),esk35_0),
i_0_464 ).
cnf(c_0_600,plain,
( vtcheck(vbind(X1,X2,esk34_0),vapp(ve1app,ve2app),esk35_0)
| visFreeVar(X1,ve2app)
| visFreeVar(X1,ve1app) ),
inference(spm,[status(thm)],[c_0_594,c_0_595]) ).
cnf(c_0_601,negated_conjecture,
~ visFreeVar(esk32_0,ve2app),
inference(spm,[status(thm)],[c_0_596,c_0_597]) ).
cnf(c_0_602,negated_conjecture,
~ visFreeVar(esk32_0,ve1app),
inference(spm,[status(thm)],[c_0_596,c_0_598]) ).
cnf(c_0_603,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_599,c_0_600]),c_0_601]),c_0_602]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : COM126+1 : TPTP v9.2.1. Released v6.4.0.
% 0.00/0.10 % Command : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.12/0.30 % Computer : n010.cluster.edu
% 0.12/0.30 % Model : x86_64 x86_64
% 0.12/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.30 % Memory : 8042.1875MB
% 0.12/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.30 % CPULimit : 300
% 0.12/0.30 % WCLimit : 300
% 0.12/0.30 % DateTime : Mon May 4 16:22:06 EDT 2026
% 0.12/0.30 % CPUTime :
% 0.12/0.31 % start to proof: theBenchmark
% 206.50/137.18 % Version : CSE_E---1.7
% 206.50/137.18 % Problem : theBenchmark.p
% 206.50/137.18 % SZS status Theorem for theBenchmark.p
% 206.50/137.18 % SZS output start CNFRefutation
% See solution above
% 225.79/156.48 % Total time : 136.038s
%------------------------------------------------------------------------------