%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : COM123+1 : TPTP v9.2.1. Released v6.4.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% Computer : n026.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 04:13:16 PM UTC 2026
% Result : Theorem 138.28s 104.90s
% Output : CNFRefutation 154.68s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named c_0_57)
% Comments :
%------------------------------------------------------------------------------
fof('subst-INV',axiom,
! [X1,X4,X6,X19] :
( vsubst(X1,X4,X6) = X19
=> ( ? [X9,X21,X11] :
( X1 = X9
& X4 = X11
& X6 = vvar(X21)
& X9 = X21
& X19 = X11 )
| ? [X11,X9,X21] :
( X1 = X9
& X4 = X11
& X6 = vvar(X21)
& X9 != X21
& X19 = vvar(X21) )
| ? [X12,X9,X11,X13] :
( X1 = X9
& X4 = X11
& X6 = vapp(X12,X13)
& X19 = vapp(vsubst(X9,X11,X12),vsubst(X9,X11,X13)) )
| ? [X11,X9,X21,X15,X12] :
( X1 = X9
& X4 = X11
& X6 = vabs(X21,X15,X12)
& X9 = X21
& X19 = vabs(X21,X15,X12) )
| ? [X9,X11,X15,X21,X24,X12] :
( X1 = X9
& X4 = X11
& X6 = vabs(X21,X15,X12)
& X9 != X21
& visFreeVar(X21,X11)
& X24 = vgensym(vapp(vapp(X11,X12),vvar(X9)))
& X19 = vsubst(X9,X11,vabs(X24,X15,vsubst(X21,vvar(X24),X12))) )
| ? [X21,X15,X9,X11,X12] :
( X1 = X9
& X4 = X11
& X6 = vabs(X21,X15,X12)
& X9 != X21
& ~ visFreeVar(X21,X11)
& X19 = vabs(X21,X15,vsubst(X9,X11,X12)) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/COM001+0.ax','subst-INV') ).
fof(reduce6,axiom,
! [X13,X12,X27,X4,X19] :
( ( X4 = vapp(X12,X13)
& ! [X28,X29,X30] : X12 != vabs(X28,X29,X30) )
=> ( ( X27 = vreduce(X12)
& ~ visSomeExp(X27) )
=> ( X19 = vreduce(X4)
=> X19 = vnoExp ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/COM001+0.ax',reduce6) ).
fof('T-Weak-FreeVar-abs-1',conjecture,
! [X9,X10,X20,X21,X35,X15] :
( ( X9 != X21
& ~ visFreeVar(X9,vabs(X21,X35,veabs))
& vtcheck(X20,vabs(X21,X35,veabs),X15) )
=> vtcheck(vbind(X9,X10,X20),vabs(X21,X35,veabs),X15) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','T-Weak-FreeVar-abs-1') ).
fof(subst5,axiom,
! [X1,X4,X6,X19,X21,X15,X9,X11,X12] :
( ( X1 = X9
& X4 = X11
& X6 = vabs(X21,X15,X12) )
=> ( ( X9 != X21
& ~ visFreeVar(X21,X11) )
=> ( X19 = vsubst(X1,X4,X6)
=> X19 = vabs(X21,X15,vsubst(X9,X11,X12)) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/COM001+0.ax',subst5) ).
fof(reduce3,axiom,
! [X10,X26,X4,X19,X9,X13,X12] :
( X4 = vapp(vabs(X9,X10,X12),X13)
=> ( ( X26 = vreduce(X13)
& ~ visSomeExp(X26)
& visValue(X13) )
=> ( X19 = vreduce(X4)
=> X19 = vsomeExp(vsubst(X9,X13,X12)) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/COM001+0.ax',reduce3) ).
fof('T-Strong',axiom,
! [X9,X10,X20,X11,X15] :
( ( ~ visFreeVar(X9,X11)
& vtcheck(vbind(X9,X10,X20),X11,X15) )
=> vtcheck(X20,X11,X15) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','T-Strong') ).
fof('T-Weak-FreeVar-abs-IH',axiom,
! [X9,X10,X20,X15] :
( ( ~ visFreeVar(X9,veabs)
& vtcheck(X20,veabs,X15) )
=> vtcheck(vbind(X9,X10,X20),veabs,X15) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','T-Weak-FreeVar-abs-IH') ).
fof(reduce4,axiom,
! [X9,X10,X12,X26,X13,X4,X19] :
( X4 = vapp(vabs(X9,X10,X12),X13)
=> ( ( X26 = vreduce(X13)
& ~ visSomeExp(X26)
& ~ visValue(X13) )
=> ( X19 = vreduce(X4)
=> X19 = vnoExp ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/COM001+0.ax',reduce4) ).
fof('reduce-INV',axiom,
! [X4,X19] :
( vreduce(X4) = X19
=> ( ? [X9] :
( X4 = vvar(X9)
& X19 = vnoExp )
| ? [X9,X10,X11] :
( X4 = vabs(X9,X10,X11)
& X19 = vnoExp )
| ? [X13,X9,X10,X12,X26] :
( X4 = vapp(vabs(X9,X10,X12),X13)
& X26 = vreduce(X13)
& visSomeExp(X26)
& X19 = vsomeExp(vapp(vabs(X9,X10,X12),vgetSomeExp(X26))) )
| ? [X10,X26,X9,X13,X12] :
( X4 = vapp(vabs(X9,X10,X12),X13)
& X26 = vreduce(X13)
& ~ visSomeExp(X26)
& visValue(X13)
& X19 = vsomeExp(vsubst(X9,X13,X12)) )
| ? [X9,X10,X12,X26,X13] :
( X4 = vapp(vabs(X9,X10,X12),X13)
& X26 = vreduce(X13)
& ~ visSomeExp(X26)
& ~ visValue(X13)
& X19 = vnoExp )
| ? [X12,X27,X13] :
( X4 = vapp(X12,X13)
& ! [X28,X29,X30] : X12 != vabs(X28,X29,X30)
& X27 = vreduce(X12)
& visSomeExp(X27)
& X19 = vsomeExp(vapp(vgetSomeExp(X27),X13)) )
| ? [X13,X12,X27] :
( X4 = vapp(X12,X13)
& ! [X28,X29,X30] : X12 != vabs(X28,X29,X30)
& X27 = vreduce(X12)
& ~ visSomeExp(X27)
& X19 = vnoExp ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/COM001+0.ax','reduce-INV') ).
fof(isValue2,axiom,
! [X12,X13,X4] :
( X4 = vapp(X12,X13)
=> ~ visValue(X4) ),
file('/export/starexec/sandbox/benchmark/Axioms/COM001+0.ax',isValue2) ).
fof('gensym-is-fresh',axiom,
! [X14,X11] :
( vgensym(X11) = X14
=> ~ visFreeVar(X14,X11) ),
file('/export/starexec/sandbox/benchmark/Axioms/COM001+0.ax','gensym-is-fresh') ).
fof(isValue1,axiom,
! [X9,X4] :
( X4 = vvar(X9)
=> ~ visValue(X4) ),
file('/export/starexec/sandbox/benchmark/Axioms/COM001+0.ax',isValue1) ).
fof(isSomeExp0,axiom,
! [X25] :
( X25 = vnoExp
=> ~ visSomeExp(X25) ),
file('/export/starexec/sandbox/benchmark/Axioms/COM001+0.ax',isSomeExp0) ).
fof(isSomeType0,axiom,
! [X18] :
( X18 = vnoType
=> ~ visSomeType(X18) ),
file('/export/starexec/sandbox/benchmark/Axioms/COM001+0.ax',isSomeType0) ).
fof(reduce5,axiom,
! [X12,X4,X19,X27,X13] :
( ( X4 = vapp(X12,X13)
& ! [X28,X29,X30] : X12 != vabs(X28,X29,X30) )
=> ( ( X27 = vreduce(X12)
& visSomeExp(X27) )
=> ( X19 = vreduce(X4)
=> X19 = vsomeExp(vapp(vgetSomeExp(X27),X13)) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/COM001+0.ax',reduce5) ).
fof('T-inv',axiom,
! [X11,X15,X20] :
( vtcheck(X20,X11,X15)
=> ( ? [X9] :
( X11 = vvar(X9)
& vlookup(X9,X20) = vsomeType(X15) )
| ? [X9,X13,X33,X34] :
( X11 = vabs(X9,X33,X13)
& X15 = varrow(X33,X34)
& vtcheck(vbind(X9,X33,X20),X13,X34) )
| ? [X12,X13,X10] :
( X11 = vapp(X12,X13)
& vtcheck(X20,X12,varrow(X10,X15))
& vtcheck(X20,X13,X10) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/COM001+0.ax','T-inv') ).
fof('T-Context-Swap',axiom,
! [X21,X22,X9,X23,X20,X11,X15] :
( ( X9 != X21
& vtcheck(vbind(X9,X23,vbind(X21,X22,X20)),X11,X15) )
=> vtcheck(vbind(X21,X22,vbind(X9,X23,X20)),X11,X15) ),
file('/export/starexec/sandbox/benchmark/Axioms/COM001+0.ax','T-Context-Swap') ).
fof('lookup-INV',axiom,
! [X1,X16,X19] :
( vlookup(X1,X16) = X19
=> ( ? [X9] :
( X1 = X9
& X16 = vempty
& X19 = vnoType )
| ? [X20,X9,X21,X22] :
( X1 = X9
& X16 = vbind(X21,X22,X20)
& X9 = X21
& X19 = vsomeType(X22) )
| ? [X22,X21,X9,X20] :
( X1 = X9
& X16 = vbind(X21,X22,X20)
& X9 != X21
& X19 = vlookup(X9,X20) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/COM001+0.ax','lookup-INV') ).
fof(subst4,axiom,
! [X1,X4,X6,X19,X9,X11,X15,X21,X24,X12] :
( ( X1 = X9
& X4 = X11
& X6 = vabs(X21,X15,X12) )
=> ( ( X9 != X21
& visFreeVar(X21,X11)
& X24 = vgensym(vapp(vapp(X11,X12),vvar(X9))) )
=> ( X19 = vsubst(X1,X4,X6)
=> X19 = vsubst(X9,X11,vabs(X24,X15,vsubst(X21,vvar(X24),X12))) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/COM001+0.ax',subst4) ).
fof('T-Context-Duplicate',axiom,
! [X21,X22,X9,X23,X20,X11,X15] :
( ( X9 = X21
& vtcheck(vbind(X9,X23,vbind(X21,X22,X20)),X11,X15) )
=> vtcheck(vbind(X9,X23,X20),X11,X15) ),
file('/export/starexec/sandbox/benchmark/Axioms/COM001+0.ax','T-Context-Duplicate') ).
fof(reduce2,axiom,
! [X13,X4,X19,X9,X10,X12,X26] :
( X4 = vapp(vabs(X9,X10,X12),X13)
=> ( ( X26 = vreduce(X13)
& visSomeExp(X26) )
=> ( X19 = vreduce(X4)
=> X19 = vsomeExp(vapp(vabs(X9,X10,X12),vgetSomeExp(X26))) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/COM001+0.ax',reduce2) ).
fof('T-abs',axiom,
! [X20,X9,X11,X10,X15] :
( vtcheck(vbind(X9,X10,X20),X11,X15)
=> vtcheck(X20,vabs(X9,X10,X11),varrow(X10,X15)) ),
file('/export/starexec/sandbox/benchmark/Axioms/COM001+0.ax','T-abs') ).
fof(subst2,axiom,
! [X1,X4,X6,X19,X12,X9,X11,X13] :
( ( X1 = X9
& X4 = X11
& X6 = vapp(X12,X13) )
=> ( X19 = vsubst(X1,X4,X6)
=> X19 = vapp(vsubst(X9,X11,X12),vsubst(X9,X11,X13)) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/COM001+0.ax',subst2) ).
fof('T-app',axiom,
! [X10,X20,X12,X13,X15] :
( ( vtcheck(X20,X12,varrow(X10,X15))
& vtcheck(X20,X13,X10) )
=> vtcheck(X20,vapp(X12,X13),X15) ),
file('/export/starexec/sandbox/benchmark/Axioms/COM001+0.ax','T-app') ).
fof('T-Weak',axiom,
! [X9,X10,X20,X11,X15] :
( ( vlookup(X9,X20) = vnoType
& vtcheck(X20,X11,X15) )
=> vtcheck(vbind(X9,X10,X20),X11,X15) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','T-Weak') ).
fof(subst3,axiom,
! [X11,X9,X1,X4,X6,X19,X21,X15,X12] :
( ( X1 = X9
& X4 = X11
& X6 = vabs(X21,X15,X12) )
=> ( X9 = X21
=> ( X19 = vsubst(X1,X4,X6)
=> X19 = vabs(X21,X15,X12) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/COM001+0.ax',subst3) ).
fof('EQ-bind',axiom,
! [X1,X3,X16,X2,X5,X17] :
( ( vbind(X1,X3,X16) = vbind(X2,X5,X17)
=> ( X1 = X2
& X3 = X5
& X16 = X17 ) )
& ( ( X1 = X2
& X3 = X5
& X16 = X17 )
=> vbind(X1,X3,X16) = vbind(X2,X5,X17) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/COM001+0.ax','EQ-bind') ).
fof('EQ-abs',axiom,
! [X1,X3,X4,X2,X5,X6] :
( ( vabs(X1,X3,X4) = vabs(X2,X5,X6)
=> ( X1 = X2
& X3 = X5
& X4 = X6 ) )
& ( ( X1 = X2
& X3 = X5
& X4 = X6 )
=> vabs(X1,X3,X4) = vabs(X2,X5,X6) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/COM001+0.ax','EQ-abs') ).
fof(lookup2,axiom,
! [X22,X21,X1,X16,X19,X9,X20] :
( ( X1 = X9
& X16 = vbind(X21,X22,X20) )
=> ( X9 != X21
=> ( X19 = vlookup(X1,X16)
=> X19 = vlookup(X9,X20) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/COM001+0.ax',lookup2) ).
fof(isFreeVar1,axiom,
! [X15,X1,X4,X9,X14,X11] :
( ( X1 = X14
& X4 = vabs(X9,X15,X11) )
=> ( ( ( X9 != X14
& visFreeVar(X14,X11) )
=> visFreeVar(X1,X4) )
& ( visFreeVar(X1,X4)
=> ( X9 != X14
& visFreeVar(X14,X11) ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/COM001+0.ax',isFreeVar1) ).
fof(lookup1,axiom,
! [X20,X9,X21,X1,X16,X19,X22] :
( ( X1 = X9
& X16 = vbind(X21,X22,X20) )
=> ( X9 = X21
=> ( X19 = vlookup(X1,X16)
=> X19 = vsomeType(X22) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/COM001+0.ax',lookup1) ).
fof(subst1,axiom,
! [X11,X9,X1,X4,X6,X19,X21] :
( ( X1 = X9
& X4 = X11
& X6 = vvar(X21) )
=> ( X9 != X21
=> ( X19 = vsubst(X1,X4,X6)
=> X19 = vvar(X21) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/COM001+0.ax',subst1) ).
fof(subst0,axiom,
! [X9,X21,X1,X4,X6,X19,X11] :
( ( X1 = X9
& X4 = X11
& X6 = vvar(X21) )
=> ( X9 = X21
=> ( X19 = vsubst(X1,X4,X6)
=> X19 = X11 ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/COM001+0.ax',subst0) ).
fof('DIFF-abs-app',axiom,
! [X1,X3,X4,X6,X7] : vabs(X1,X3,X4) != vapp(X6,X7),
file('/export/starexec/sandbox/benchmark/Axioms/COM001+0.ax','DIFF-abs-app') ).
fof(reduce1,axiom,
! [X9,X10,X11,X4,X19] :
( X4 = vabs(X9,X10,X11)
=> ( X19 = vreduce(X4)
=> X19 = vnoExp ) ),
file('/export/starexec/sandbox/benchmark/Axioms/COM001+0.ax',reduce1) ).
fof('DIFF-var-abs',axiom,
! [X1,X2,X3,X4] : vvar(X1) != vabs(X2,X3,X4),
file('/export/starexec/sandbox/benchmark/Axioms/COM001+0.ax','DIFF-var-abs') ).
fof(isValue0,axiom,
! [X9,X10,X11,X4] :
( X4 = vabs(X9,X10,X11)
=> visValue(X4) ),
file('/export/starexec/sandbox/benchmark/Axioms/COM001+0.ax',isValue0) ).
fof('T-var',axiom,
! [X20,X9,X15] :
( vlookup(X9,X20) = vsomeType(X15)
=> vtcheck(X20,vvar(X9),X15) ),
file('/export/starexec/sandbox/benchmark/Axioms/COM001+0.ax','T-var') ).
fof('DIFF-empty-bind',axiom,
! [X1,X3,X16] : vempty != vbind(X1,X3,X16),
file('/export/starexec/sandbox/benchmark/Axioms/COM001+0.ax','DIFF-empty-bind') ).
fof(isFreeVar2,axiom,
! [X1,X4,X12,X14,X13] :
( ( X1 = X14
& X4 = vapp(X12,X13) )
=> ( ( ( visFreeVar(X14,X12)
| visFreeVar(X14,X13) )
=> visFreeVar(X1,X4) )
& ( visFreeVar(X1,X4)
=> ( visFreeVar(X14,X12)
| visFreeVar(X14,X13) ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/COM001+0.ax',isFreeVar2) ).
fof('EQ-arrow',axiom,
! [X3,X5,X31,X32] :
( ( varrow(X3,X5) = varrow(X31,X32)
=> ( X3 = X31
& X5 = X32 ) )
& ( ( X3 = X31
& X5 = X32 )
=> varrow(X3,X5) = varrow(X31,X32) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/COM001+0.ax','EQ-arrow') ).
fof('EQ-app',axiom,
! [X4,X6,X7,X8] :
( ( vapp(X4,X6) = vapp(X7,X8)
=> ( X4 = X7
& X6 = X8 ) )
& ( ( X4 = X7
& X6 = X8 )
=> vapp(X4,X6) = vapp(X7,X8) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/COM001+0.ax','EQ-app') ).
fof(isFreeVar0,axiom,
! [X1,X4,X9,X14] :
( ( X1 = X14
& X4 = vvar(X9) )
=> ( ( X9 = X14
=> visFreeVar(X1,X4) )
& ( visFreeVar(X1,X4)
=> X9 = X14 ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/COM001+0.ax',isFreeVar0) ).
fof(lookup0,axiom,
! [X9,X1,X16,X19] :
( ( X1 = X9
& X16 = vempty )
=> ( X19 = vlookup(X1,X16)
=> X19 = vnoType ) ),
file('/export/starexec/sandbox/benchmark/Axioms/COM001+0.ax',lookup0) ).
fof('DIFF-var-app',axiom,
! [X1,X4,X6] : vvar(X1) != vapp(X4,X6),
file('/export/starexec/sandbox/benchmark/Axioms/COM001+0.ax','DIFF-var-app') ).
fof(getSomeExp0,axiom,
! [X25,X19,X11] :
( X25 = vsomeExp(X11)
=> ( X19 = vgetSomeExp(X25)
=> X19 = X11 ) ),
file('/export/starexec/sandbox/benchmark/Axioms/COM001+0.ax',getSomeExp0) ).
fof(getSomeType0,axiom,
! [X18,X19,X11] :
( X18 = vsomeType(X11)
=> ( X19 = vgetSomeType(X18)
=> X19 = X11 ) ),
file('/export/starexec/sandbox/benchmark/Axioms/COM001+0.ax',getSomeType0) ).
fof(reduce0,axiom,
! [X9,X4,X19] :
( X4 = vvar(X9)
=> ( X19 = vreduce(X4)
=> X19 = vnoExp ) ),
file('/export/starexec/sandbox/benchmark/Axioms/COM001+0.ax',reduce0) ).
fof('EQ-someExp',axiom,
! [X4,X6] :
( ( vsomeExp(X4) = vsomeExp(X6)
=> X4 = X6 )
& ( X4 = X6
=> vsomeExp(X4) = vsomeExp(X6) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/COM001+0.ax','EQ-someExp') ).
fof('EQ-someType',axiom,
! [X3,X5] :
( ( vsomeType(X3) = vsomeType(X5)
=> X3 = X5 )
& ( X3 = X5
=> vsomeType(X3) = vsomeType(X5) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/COM001+0.ax','EQ-someType') ).
fof('EQ-var',axiom,
! [X1,X2] :
( ( vvar(X1) = vvar(X2)
=> X1 = X2 )
& ( X1 = X2
=> vvar(X1) = vvar(X2) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/COM001+0.ax','EQ-var') ).
fof(isSomeExp1,axiom,
! [X11,X25] :
( X25 = vsomeExp(X11)
=> visSomeExp(X25) ),
file('/export/starexec/sandbox/benchmark/Axioms/COM001+0.ax',isSomeExp1) ).
fof(isSomeType1,axiom,
! [X11,X18] :
( X18 = vsomeType(X11)
=> visSomeType(X18) ),
file('/export/starexec/sandbox/benchmark/Axioms/COM001+0.ax',isSomeType1) ).
fof('DIFF-noExp-someExp',axiom,
! [X4] : vnoExp != vsomeExp(X4),
file('/export/starexec/sandbox/benchmark/Axioms/COM001+0.ax','DIFF-noExp-someExp') ).
fof('DIFF-noType-someType',axiom,
! [X3] : vnoType != vsomeType(X3),
file('/export/starexec/sandbox/benchmark/Axioms/COM001+0.ax','DIFF-noType-someType') ).
fof(i_0_55,plain,
! [X4,X19] :
( epred3_2(X19,X4)
<=> ( ? [X9] :
( X4 = vvar(X9)
& X19 = vnoExp )
| ? [X9,X10,X11] :
( X4 = vabs(X9,X10,X11)
& X19 = vnoExp )
| ? [X13,X9,X10,X12,X26] :
( X4 = vapp(vabs(X9,X10,X12),X13)
& X26 = vreduce(X13)
& visSomeExp(X26)
& X19 = vsomeExp(vapp(vabs(X9,X10,X12),vgetSomeExp(X26))) )
| ? [X10,X26,X9,X13,X12] :
( X4 = vapp(vabs(X9,X10,X12),X13)
& X26 = vreduce(X13)
& ~ visSomeExp(X26)
& visValue(X13)
& X19 = vsomeExp(vsubst(X9,X13,X12)) ) ) ),
introduced(definition) ).
fof(i_0_56,plain,
! [X1,X4,X6,X19] :
( epred2_4(X19,X6,X4,X1)
<=> ( ? [X9,X21,X11] :
( X1 = X9
& X4 = X11
& X6 = vvar(X21)
& X9 = X21
& X19 = X11 )
| ? [X11,X9,X21] :
( X1 = X9
& X4 = X11
& X6 = vvar(X21)
& X9 != X21
& X19 = vvar(X21) )
| ? [X12,X9,X11,X13] :
( X1 = X9
& X4 = X11
& X6 = vapp(X12,X13)
& X19 = vapp(vsubst(X9,X11,X12),vsubst(X9,X11,X13)) )
| ? [X11,X9,X21,X15,X12] :
( X1 = X9
& X4 = X11
& X6 = vabs(X21,X15,X12)
& X9 = X21
& X19 = vabs(X21,X15,X12) )
| ? [X9,X11,X15,X21,X24,X12] :
( X1 = X9
& X4 = X11
& X6 = vabs(X21,X15,X12)
& X9 != X21
& visFreeVar(X21,X11)
& X24 = vgensym(vapp(vapp(X11,X12),vvar(X9)))
& X19 = vsubst(X9,X11,vabs(X24,X15,vsubst(X21,vvar(X24),X12))) ) ) ),
introduced(definition) ).
fof(i_0_57,plain,
! [X1,X4,X6,X19] :
( epred1_4(X19,X6,X4,X1)
<=> ( ? [X9,X21,X11] :
( X1 = X9
& X4 = X11
& X6 = vvar(X21)
& X9 = X21
& X19 = X11 )
| ? [X11,X9,X21] :
( X1 = X9
& X4 = X11
& X6 = vvar(X21)
& X9 != X21
& X19 = vvar(X21) ) ) ),
introduced(definition) ).
fof(i_0_58,plain,
! [X4,X19] :
( epred3_2(X19,X4)
=> ( ? [X9] :
( X4 = vvar(X9)
& X19 = vnoExp )
| ? [X9,X10,X11] :
( X4 = vabs(X9,X10,X11)
& X19 = vnoExp )
| ? [X13,X9,X10,X12,X26] :
( X4 = vapp(vabs(X9,X10,X12),X13)
& X26 = vreduce(X13)
& visSomeExp(X26)
& X19 = vsomeExp(vapp(vabs(X9,X10,X12),vgetSomeExp(X26))) )
| ? [X10,X26,X9,X13,X12] :
( X4 = vapp(vabs(X9,X10,X12),X13)
& X26 = vreduce(X13)
& ~ visSomeExp(X26)
& visValue(X13)
& X19 = vsomeExp(vsubst(X9,X13,X12)) ) ) ),
inference(split_equiv,[status(thm)],[i_0_55]) ).
fof(i_0_59,plain,
! [X4,X19] :
( epred4_2(X19,X4)
<=> ( ? [X9] :
( X4 = vvar(X9)
& X19 = vnoExp )
| ? [X9,X10,X11] :
( X4 = vabs(X9,X10,X11)
& X19 = vnoExp )
| ? [X13,X9,X10,X12,X26] :
( X4 = vapp(vabs(X9,X10,X12),X13)
& X26 = vreduce(X13)
& visSomeExp(X26)
& X19 = vsomeExp(vapp(vabs(X9,X10,X12),vgetSomeExp(X26))) )
| ? [X10,X26,X9,X13,X12] :
( X4 = vapp(vabs(X9,X10,X12),X13)
& X26 = vreduce(X13)
& ~ visSomeExp(X26)
& visValue(X13)
& X19 = vsomeExp(vsubst(X9,X13,X12)) )
| ? [X9,X10,X12,X26,X13] :
( X4 = vapp(vabs(X9,X10,X12),X13)
& X26 = vreduce(X13)
& ~ visSomeExp(X26)
& ~ visValue(X13)
& X19 = vnoExp )
| ? [X12,X27,X13] :
( X4 = vapp(X12,X13)
& ! [X28,X29,X30] : X12 != vabs(X28,X29,X30)
& X27 = vreduce(X12)
& visSomeExp(X27)
& X19 = vsomeExp(vapp(vgetSomeExp(X27),X13)) ) ) ),
introduced(definition) ).
fof(i_0_60,plain,
! [X1,X4,X6,X19] :
( epred2_4(X19,X6,X4,X1)
=> ( epred1_4(X19,X6,X4,X1)
| ? [X12,X9,X11,X13] :
( X1 = X9
& X4 = X11
& X6 = vapp(X12,X13)
& X19 = vapp(vsubst(X9,X11,X12),vsubst(X9,X11,X13)) )
| ? [X11,X9,X21,X15,X12] :
( X1 = X9
& X4 = X11
& X6 = vabs(X21,X15,X12)
& X9 = X21
& X19 = vabs(X21,X15,X12) )
| ? [X9,X11,X15,X21,X24,X12] :
( X1 = X9
& X4 = X11
& X6 = vabs(X21,X15,X12)
& X9 != X21
& visFreeVar(X21,X11)
& X24 = vgensym(vapp(vapp(X11,X12),vvar(X9)))
& X19 = vsubst(X9,X11,vabs(X24,X15,vsubst(X21,vvar(X24),X12))) ) ) ),
inference(apply_def,[status(thm)],[inference(split_equiv,[status(thm)],[i_0_56]),c_0_57]) ).
fof(i_0_61,plain,
! [X1,X4,X6,X19] :
( vsubst(X1,X4,X6) = X19
=> ( epred2_4(X19,X6,X4,X1)
| ? [X21,X15,X9,X11,X12] :
( X1 = X9
& X4 = X11
& X6 = vabs(X21,X15,X12)
& X9 != X21
& ~ visFreeVar(X21,X11)
& X19 = vabs(X21,X15,vsubst(X9,X11,X12)) ) ) ),
inference(apply_def,[status(thm)],[inference(fof_simplification,[status(thm)],['subst-INV']),c_0_56]) ).
fof(i_0_62,plain,
! [X1,X4,X6,X19] :
( epred1_4(X19,X6,X4,X1)
=> ( ? [X9,X21,X11] :
( X1 = X9
& X4 = X11
& X6 = vvar(X21)
& X9 = X21
& X19 = X11 )
| ? [X11,X9,X21] :
( X1 = X9
& X4 = X11
& X6 = vvar(X21)
& X9 != X21
& X19 = vvar(X21) ) ) ),
inference(split_equiv,[status(thm)],[i_0_57]) ).
fof(i_0_63,plain,
! [X13,X12,X27,X4,X19] :
( ( X4 = vapp(X12,X13)
& ! [X28,X29,X30] : X12 != vabs(X28,X29,X30) )
=> ( ( X27 = vreduce(X12)
& ~ visSomeExp(X27) )
=> ( X19 = vreduce(X4)
=> X19 = vnoExp ) ) ),
inference(fof_simplification,[status(thm)],[reduce6]) ).
fof(i_0_64,plain,
! [X673,X674] :
( ( X673 = vapp(vabs(esk70_2(X673,X674),esk68_2(X673,X674),esk72_2(X673,X674)),esk71_2(X673,X674))
| X673 = vapp(vabs(esk64_2(X673,X674),esk65_2(X673,X674),esk66_2(X673,X674)),esk63_2(X673,X674))
| X673 = vabs(esk60_2(X673,X674),esk61_2(X673,X674),esk62_2(X673,X674))
| X673 = vvar(esk59_2(X673,X674))
| ~ epred3_2(X674,X673) )
& ( esk69_2(X673,X674) = vreduce(esk71_2(X673,X674))
| X673 = vapp(vabs(esk64_2(X673,X674),esk65_2(X673,X674),esk66_2(X673,X674)),esk63_2(X673,X674))
| X673 = vabs(esk60_2(X673,X674),esk61_2(X673,X674),esk62_2(X673,X674))
| X673 = vvar(esk59_2(X673,X674))
| ~ epred3_2(X674,X673) )
& ( ~ visSomeExp(esk69_2(X673,X674))
| X673 = vapp(vabs(esk64_2(X673,X674),esk65_2(X673,X674),esk66_2(X673,X674)),esk63_2(X673,X674))
| X673 = vabs(esk60_2(X673,X674),esk61_2(X673,X674),esk62_2(X673,X674))
| X673 = vvar(esk59_2(X673,X674))
| ~ epred3_2(X674,X673) )
& ( visValue(esk71_2(X673,X674))
| X673 = vapp(vabs(esk64_2(X673,X674),esk65_2(X673,X674),esk66_2(X673,X674)),esk63_2(X673,X674))
| X673 = vabs(esk60_2(X673,X674),esk61_2(X673,X674),esk62_2(X673,X674))
| X673 = vvar(esk59_2(X673,X674))
| ~ epred3_2(X674,X673) )
& ( X674 = vsomeExp(vsubst(esk70_2(X673,X674),esk71_2(X673,X674),esk72_2(X673,X674)))
| X673 = vapp(vabs(esk64_2(X673,X674),esk65_2(X673,X674),esk66_2(X673,X674)),esk63_2(X673,X674))
| X673 = vabs(esk60_2(X673,X674),esk61_2(X673,X674),esk62_2(X673,X674))
| X673 = vvar(esk59_2(X673,X674))
| ~ epred3_2(X674,X673) )
& ( X673 = vapp(vabs(esk70_2(X673,X674),esk68_2(X673,X674),esk72_2(X673,X674)),esk71_2(X673,X674))
| esk67_2(X673,X674) = vreduce(esk63_2(X673,X674))
| X673 = vabs(esk60_2(X673,X674),esk61_2(X673,X674),esk62_2(X673,X674))
| X673 = vvar(esk59_2(X673,X674))
| ~ epred3_2(X674,X673) )
& ( esk69_2(X673,X674) = vreduce(esk71_2(X673,X674))
| esk67_2(X673,X674) = vreduce(esk63_2(X673,X674))
| X673 = vabs(esk60_2(X673,X674),esk61_2(X673,X674),esk62_2(X673,X674))
| X673 = vvar(esk59_2(X673,X674))
| ~ epred3_2(X674,X673) )
& ( ~ visSomeExp(esk69_2(X673,X674))
| esk67_2(X673,X674) = vreduce(esk63_2(X673,X674))
| X673 = vabs(esk60_2(X673,X674),esk61_2(X673,X674),esk62_2(X673,X674))
| X673 = vvar(esk59_2(X673,X674))
| ~ epred3_2(X674,X673) )
& ( visValue(esk71_2(X673,X674))
| esk67_2(X673,X674) = vreduce(esk63_2(X673,X674))
| X673 = vabs(esk60_2(X673,X674),esk61_2(X673,X674),esk62_2(X673,X674))
| X673 = vvar(esk59_2(X673,X674))
| ~ epred3_2(X674,X673) )
& ( X674 = vsomeExp(vsubst(esk70_2(X673,X674),esk71_2(X673,X674),esk72_2(X673,X674)))
| esk67_2(X673,X674) = vreduce(esk63_2(X673,X674))
| X673 = vabs(esk60_2(X673,X674),esk61_2(X673,X674),esk62_2(X673,X674))
| X673 = vvar(esk59_2(X673,X674))
| ~ epred3_2(X674,X673) )
& ( X673 = vapp(vabs(esk70_2(X673,X674),esk68_2(X673,X674),esk72_2(X673,X674)),esk71_2(X673,X674))
| visSomeExp(esk67_2(X673,X674))
| X673 = vabs(esk60_2(X673,X674),esk61_2(X673,X674),esk62_2(X673,X674))
| X673 = vvar(esk59_2(X673,X674))
| ~ epred3_2(X674,X673) )
& ( esk69_2(X673,X674) = vreduce(esk71_2(X673,X674))
| visSomeExp(esk67_2(X673,X674))
| X673 = vabs(esk60_2(X673,X674),esk61_2(X673,X674),esk62_2(X673,X674))
| X673 = vvar(esk59_2(X673,X674))
| ~ epred3_2(X674,X673) )
& ( ~ visSomeExp(esk69_2(X673,X674))
| visSomeExp(esk67_2(X673,X674))
| X673 = vabs(esk60_2(X673,X674),esk61_2(X673,X674),esk62_2(X673,X674))
| X673 = vvar(esk59_2(X673,X674))
| ~ epred3_2(X674,X673) )
& ( visValue(esk71_2(X673,X674))
| visSomeExp(esk67_2(X673,X674))
| X673 = vabs(esk60_2(X673,X674),esk61_2(X673,X674),esk62_2(X673,X674))
| X673 = vvar(esk59_2(X673,X674))
| ~ epred3_2(X674,X673) )
& ( X674 = vsomeExp(vsubst(esk70_2(X673,X674),esk71_2(X673,X674),esk72_2(X673,X674)))
| visSomeExp(esk67_2(X673,X674))
| X673 = vabs(esk60_2(X673,X674),esk61_2(X673,X674),esk62_2(X673,X674))
| X673 = vvar(esk59_2(X673,X674))
| ~ epred3_2(X674,X673) )
& ( X673 = vapp(vabs(esk70_2(X673,X674),esk68_2(X673,X674),esk72_2(X673,X674)),esk71_2(X673,X674))
| X674 = vsomeExp(vapp(vabs(esk64_2(X673,X674),esk65_2(X673,X674),esk66_2(X673,X674)),vgetSomeExp(esk67_2(X673,X674))))
| X673 = vabs(esk60_2(X673,X674),esk61_2(X673,X674),esk62_2(X673,X674))
| X673 = vvar(esk59_2(X673,X674))
| ~ epred3_2(X674,X673) )
& ( esk69_2(X673,X674) = vreduce(esk71_2(X673,X674))
| X674 = vsomeExp(vapp(vabs(esk64_2(X673,X674),esk65_2(X673,X674),esk66_2(X673,X674)),vgetSomeExp(esk67_2(X673,X674))))
| X673 = vabs(esk60_2(X673,X674),esk61_2(X673,X674),esk62_2(X673,X674))
| X673 = vvar(esk59_2(X673,X674))
| ~ epred3_2(X674,X673) )
& ( ~ visSomeExp(esk69_2(X673,X674))
| X674 = vsomeExp(vapp(vabs(esk64_2(X673,X674),esk65_2(X673,X674),esk66_2(X673,X674)),vgetSomeExp(esk67_2(X673,X674))))
| X673 = vabs(esk60_2(X673,X674),esk61_2(X673,X674),esk62_2(X673,X674))
| X673 = vvar(esk59_2(X673,X674))
| ~ epred3_2(X674,X673) )
& ( visValue(esk71_2(X673,X674))
| X674 = vsomeExp(vapp(vabs(esk64_2(X673,X674),esk65_2(X673,X674),esk66_2(X673,X674)),vgetSomeExp(esk67_2(X673,X674))))
| X673 = vabs(esk60_2(X673,X674),esk61_2(X673,X674),esk62_2(X673,X674))
| X673 = vvar(esk59_2(X673,X674))
| ~ epred3_2(X674,X673) )
& ( X674 = vsomeExp(vsubst(esk70_2(X673,X674),esk71_2(X673,X674),esk72_2(X673,X674)))
| X674 = vsomeExp(vapp(vabs(esk64_2(X673,X674),esk65_2(X673,X674),esk66_2(X673,X674)),vgetSomeExp(esk67_2(X673,X674))))
| X673 = vabs(esk60_2(X673,X674),esk61_2(X673,X674),esk62_2(X673,X674))
| X673 = vvar(esk59_2(X673,X674))
| ~ epred3_2(X674,X673) )
& ( X673 = vapp(vabs(esk70_2(X673,X674),esk68_2(X673,X674),esk72_2(X673,X674)),esk71_2(X673,X674))
| X673 = vapp(vabs(esk64_2(X673,X674),esk65_2(X673,X674),esk66_2(X673,X674)),esk63_2(X673,X674))
| X674 = vnoExp
| X673 = vvar(esk59_2(X673,X674))
| ~ epred3_2(X674,X673) )
& ( esk69_2(X673,X674) = vreduce(esk71_2(X673,X674))
| X673 = vapp(vabs(esk64_2(X673,X674),esk65_2(X673,X674),esk66_2(X673,X674)),esk63_2(X673,X674))
| X674 = vnoExp
| X673 = vvar(esk59_2(X673,X674))
| ~ epred3_2(X674,X673) )
& ( ~ visSomeExp(esk69_2(X673,X674))
| X673 = vapp(vabs(esk64_2(X673,X674),esk65_2(X673,X674),esk66_2(X673,X674)),esk63_2(X673,X674))
| X674 = vnoExp
| X673 = vvar(esk59_2(X673,X674))
| ~ epred3_2(X674,X673) )
& ( visValue(esk71_2(X673,X674))
| X673 = vapp(vabs(esk64_2(X673,X674),esk65_2(X673,X674),esk66_2(X673,X674)),esk63_2(X673,X674))
| X674 = vnoExp
| X673 = vvar(esk59_2(X673,X674))
| ~ epred3_2(X674,X673) )
& ( X674 = vsomeExp(vsubst(esk70_2(X673,X674),esk71_2(X673,X674),esk72_2(X673,X674)))
| X673 = vapp(vabs(esk64_2(X673,X674),esk65_2(X673,X674),esk66_2(X673,X674)),esk63_2(X673,X674))
| X674 = vnoExp
| X673 = vvar(esk59_2(X673,X674))
| ~ epred3_2(X674,X673) )
& ( X673 = vapp(vabs(esk70_2(X673,X674),esk68_2(X673,X674),esk72_2(X673,X674)),esk71_2(X673,X674))
| esk67_2(X673,X674) = vreduce(esk63_2(X673,X674))
| X674 = vnoExp
| X673 = vvar(esk59_2(X673,X674))
| ~ epred3_2(X674,X673) )
& ( esk69_2(X673,X674) = vreduce(esk71_2(X673,X674))
| esk67_2(X673,X674) = vreduce(esk63_2(X673,X674))
| X674 = vnoExp
| X673 = vvar(esk59_2(X673,X674))
| ~ epred3_2(X674,X673) )
& ( ~ visSomeExp(esk69_2(X673,X674))
| esk67_2(X673,X674) = vreduce(esk63_2(X673,X674))
| X674 = vnoExp
| X673 = vvar(esk59_2(X673,X674))
| ~ epred3_2(X674,X673) )
& ( visValue(esk71_2(X673,X674))
| esk67_2(X673,X674) = vreduce(esk63_2(X673,X674))
| X674 = vnoExp
| X673 = vvar(esk59_2(X673,X674))
| ~ epred3_2(X674,X673) )
& ( X674 = vsomeExp(vsubst(esk70_2(X673,X674),esk71_2(X673,X674),esk72_2(X673,X674)))
| esk67_2(X673,X674) = vreduce(esk63_2(X673,X674))
| X674 = vnoExp
| X673 = vvar(esk59_2(X673,X674))
| ~ epred3_2(X674,X673) )
& ( X673 = vapp(vabs(esk70_2(X673,X674),esk68_2(X673,X674),esk72_2(X673,X674)),esk71_2(X673,X674))
| visSomeExp(esk67_2(X673,X674))
| X674 = vnoExp
| X673 = vvar(esk59_2(X673,X674))
| ~ epred3_2(X674,X673) )
& ( esk69_2(X673,X674) = vreduce(esk71_2(X673,X674))
| visSomeExp(esk67_2(X673,X674))
| X674 = vnoExp
| X673 = vvar(esk59_2(X673,X674))
| ~ epred3_2(X674,X673) )
& ( ~ visSomeExp(esk69_2(X673,X674))
| visSomeExp(esk67_2(X673,X674))
| X674 = vnoExp
| X673 = vvar(esk59_2(X673,X674))
| ~ epred3_2(X674,X673) )
& ( visValue(esk71_2(X673,X674))
| visSomeExp(esk67_2(X673,X674))
| X674 = vnoExp
| X673 = vvar(esk59_2(X673,X674))
| ~ epred3_2(X674,X673) )
& ( X674 = vsomeExp(vsubst(esk70_2(X673,X674),esk71_2(X673,X674),esk72_2(X673,X674)))
| visSomeExp(esk67_2(X673,X674))
| X674 = vnoExp
| X673 = vvar(esk59_2(X673,X674))
| ~ epred3_2(X674,X673) )
& ( X673 = vapp(vabs(esk70_2(X673,X674),esk68_2(X673,X674),esk72_2(X673,X674)),esk71_2(X673,X674))
| X674 = vsomeExp(vapp(vabs(esk64_2(X673,X674),esk65_2(X673,X674),esk66_2(X673,X674)),vgetSomeExp(esk67_2(X673,X674))))
| X674 = vnoExp
| X673 = vvar(esk59_2(X673,X674))
| ~ epred3_2(X674,X673) )
& ( esk69_2(X673,X674) = vreduce(esk71_2(X673,X674))
| X674 = vsomeExp(vapp(vabs(esk64_2(X673,X674),esk65_2(X673,X674),esk66_2(X673,X674)),vgetSomeExp(esk67_2(X673,X674))))
| X674 = vnoExp
| X673 = vvar(esk59_2(X673,X674))
| ~ epred3_2(X674,X673) )
& ( ~ visSomeExp(esk69_2(X673,X674))
| X674 = vsomeExp(vapp(vabs(esk64_2(X673,X674),esk65_2(X673,X674),esk66_2(X673,X674)),vgetSomeExp(esk67_2(X673,X674))))
| X674 = vnoExp
| X673 = vvar(esk59_2(X673,X674))
| ~ epred3_2(X674,X673) )
& ( visValue(esk71_2(X673,X674))
| X674 = vsomeExp(vapp(vabs(esk64_2(X673,X674),esk65_2(X673,X674),esk66_2(X673,X674)),vgetSomeExp(esk67_2(X673,X674))))
| X674 = vnoExp
| X673 = vvar(esk59_2(X673,X674))
| ~ epred3_2(X674,X673) )
& ( X674 = vsomeExp(vsubst(esk70_2(X673,X674),esk71_2(X673,X674),esk72_2(X673,X674)))
| X674 = vsomeExp(vapp(vabs(esk64_2(X673,X674),esk65_2(X673,X674),esk66_2(X673,X674)),vgetSomeExp(esk67_2(X673,X674))))
| X674 = vnoExp
| X673 = vvar(esk59_2(X673,X674))
| ~ epred3_2(X674,X673) )
& ( X673 = vapp(vabs(esk70_2(X673,X674),esk68_2(X673,X674),esk72_2(X673,X674)),esk71_2(X673,X674))
| X673 = vapp(vabs(esk64_2(X673,X674),esk65_2(X673,X674),esk66_2(X673,X674)),esk63_2(X673,X674))
| X673 = vabs(esk60_2(X673,X674),esk61_2(X673,X674),esk62_2(X673,X674))
| X674 = vnoExp
| ~ epred3_2(X674,X673) )
& ( esk69_2(X673,X674) = vreduce(esk71_2(X673,X674))
| X673 = vapp(vabs(esk64_2(X673,X674),esk65_2(X673,X674),esk66_2(X673,X674)),esk63_2(X673,X674))
| X673 = vabs(esk60_2(X673,X674),esk61_2(X673,X674),esk62_2(X673,X674))
| X674 = vnoExp
| ~ epred3_2(X674,X673) )
& ( ~ visSomeExp(esk69_2(X673,X674))
| X673 = vapp(vabs(esk64_2(X673,X674),esk65_2(X673,X674),esk66_2(X673,X674)),esk63_2(X673,X674))
| X673 = vabs(esk60_2(X673,X674),esk61_2(X673,X674),esk62_2(X673,X674))
| X674 = vnoExp
| ~ epred3_2(X674,X673) )
& ( visValue(esk71_2(X673,X674))
| X673 = vapp(vabs(esk64_2(X673,X674),esk65_2(X673,X674),esk66_2(X673,X674)),esk63_2(X673,X674))
| X673 = vabs(esk60_2(X673,X674),esk61_2(X673,X674),esk62_2(X673,X674))
| X674 = vnoExp
| ~ epred3_2(X674,X673) )
& ( X674 = vsomeExp(vsubst(esk70_2(X673,X674),esk71_2(X673,X674),esk72_2(X673,X674)))
| X673 = vapp(vabs(esk64_2(X673,X674),esk65_2(X673,X674),esk66_2(X673,X674)),esk63_2(X673,X674))
| X673 = vabs(esk60_2(X673,X674),esk61_2(X673,X674),esk62_2(X673,X674))
| X674 = vnoExp
| ~ epred3_2(X674,X673) )
& ( X673 = vapp(vabs(esk70_2(X673,X674),esk68_2(X673,X674),esk72_2(X673,X674)),esk71_2(X673,X674))
| esk67_2(X673,X674) = vreduce(esk63_2(X673,X674))
| X673 = vabs(esk60_2(X673,X674),esk61_2(X673,X674),esk62_2(X673,X674))
| X674 = vnoExp
| ~ epred3_2(X674,X673) )
& ( esk69_2(X673,X674) = vreduce(esk71_2(X673,X674))
| esk67_2(X673,X674) = vreduce(esk63_2(X673,X674))
| X673 = vabs(esk60_2(X673,X674),esk61_2(X673,X674),esk62_2(X673,X674))
| X674 = vnoExp
| ~ epred3_2(X674,X673) )
& ( ~ visSomeExp(esk69_2(X673,X674))
| esk67_2(X673,X674) = vreduce(esk63_2(X673,X674))
| X673 = vabs(esk60_2(X673,X674),esk61_2(X673,X674),esk62_2(X673,X674))
| X674 = vnoExp
| ~ epred3_2(X674,X673) )
& ( visValue(esk71_2(X673,X674))
| esk67_2(X673,X674) = vreduce(esk63_2(X673,X674))
| X673 = vabs(esk60_2(X673,X674),esk61_2(X673,X674),esk62_2(X673,X674))
| X674 = vnoExp
| ~ epred3_2(X674,X673) )
& ( X674 = vsomeExp(vsubst(esk70_2(X673,X674),esk71_2(X673,X674),esk72_2(X673,X674)))
| esk67_2(X673,X674) = vreduce(esk63_2(X673,X674))
| X673 = vabs(esk60_2(X673,X674),esk61_2(X673,X674),esk62_2(X673,X674))
| X674 = vnoExp
| ~ epred3_2(X674,X673) )
& ( X673 = vapp(vabs(esk70_2(X673,X674),esk68_2(X673,X674),esk72_2(X673,X674)),esk71_2(X673,X674))
| visSomeExp(esk67_2(X673,X674))
| X673 = vabs(esk60_2(X673,X674),esk61_2(X673,X674),esk62_2(X673,X674))
| X674 = vnoExp
| ~ epred3_2(X674,X673) )
& ( esk69_2(X673,X674) = vreduce(esk71_2(X673,X674))
| visSomeExp(esk67_2(X673,X674))
| X673 = vabs(esk60_2(X673,X674),esk61_2(X673,X674),esk62_2(X673,X674))
| X674 = vnoExp
| ~ epred3_2(X674,X673) )
& ( ~ visSomeExp(esk69_2(X673,X674))
| visSomeExp(esk67_2(X673,X674))
| X673 = vabs(esk60_2(X673,X674),esk61_2(X673,X674),esk62_2(X673,X674))
| X674 = vnoExp
| ~ epred3_2(X674,X673) )
& ( visValue(esk71_2(X673,X674))
| visSomeExp(esk67_2(X673,X674))
| X673 = vabs(esk60_2(X673,X674),esk61_2(X673,X674),esk62_2(X673,X674))
| X674 = vnoExp
| ~ epred3_2(X674,X673) )
& ( X674 = vsomeExp(vsubst(esk70_2(X673,X674),esk71_2(X673,X674),esk72_2(X673,X674)))
| visSomeExp(esk67_2(X673,X674))
| X673 = vabs(esk60_2(X673,X674),esk61_2(X673,X674),esk62_2(X673,X674))
| X674 = vnoExp
| ~ epred3_2(X674,X673) )
& ( X673 = vapp(vabs(esk70_2(X673,X674),esk68_2(X673,X674),esk72_2(X673,X674)),esk71_2(X673,X674))
| X674 = vsomeExp(vapp(vabs(esk64_2(X673,X674),esk65_2(X673,X674),esk66_2(X673,X674)),vgetSomeExp(esk67_2(X673,X674))))
| X673 = vabs(esk60_2(X673,X674),esk61_2(X673,X674),esk62_2(X673,X674))
| X674 = vnoExp
| ~ epred3_2(X674,X673) )
& ( esk69_2(X673,X674) = vreduce(esk71_2(X673,X674))
| X674 = vsomeExp(vapp(vabs(esk64_2(X673,X674),esk65_2(X673,X674),esk66_2(X673,X674)),vgetSomeExp(esk67_2(X673,X674))))
| X673 = vabs(esk60_2(X673,X674),esk61_2(X673,X674),esk62_2(X673,X674))
| X674 = vnoExp
| ~ epred3_2(X674,X673) )
& ( ~ visSomeExp(esk69_2(X673,X674))
| X674 = vsomeExp(vapp(vabs(esk64_2(X673,X674),esk65_2(X673,X674),esk66_2(X673,X674)),vgetSomeExp(esk67_2(X673,X674))))
| X673 = vabs(esk60_2(X673,X674),esk61_2(X673,X674),esk62_2(X673,X674))
| X674 = vnoExp
| ~ epred3_2(X674,X673) )
& ( visValue(esk71_2(X673,X674))
| X674 = vsomeExp(vapp(vabs(esk64_2(X673,X674),esk65_2(X673,X674),esk66_2(X673,X674)),vgetSomeExp(esk67_2(X673,X674))))
| X673 = vabs(esk60_2(X673,X674),esk61_2(X673,X674),esk62_2(X673,X674))
| X674 = vnoExp
| ~ epred3_2(X674,X673) )
& ( X674 = vsomeExp(vsubst(esk70_2(X673,X674),esk71_2(X673,X674),esk72_2(X673,X674)))
| X674 = vsomeExp(vapp(vabs(esk64_2(X673,X674),esk65_2(X673,X674),esk66_2(X673,X674)),vgetSomeExp(esk67_2(X673,X674))))
| X673 = vabs(esk60_2(X673,X674),esk61_2(X673,X674),esk62_2(X673,X674))
| X674 = vnoExp
| ~ epred3_2(X674,X673) )
& ( X673 = vapp(vabs(esk70_2(X673,X674),esk68_2(X673,X674),esk72_2(X673,X674)),esk71_2(X673,X674))
| X673 = vapp(vabs(esk64_2(X673,X674),esk65_2(X673,X674),esk66_2(X673,X674)),esk63_2(X673,X674))
| X674 = vnoExp
| X674 = vnoExp
| ~ epred3_2(X674,X673) )
& ( esk69_2(X673,X674) = vreduce(esk71_2(X673,X674))
| X673 = vapp(vabs(esk64_2(X673,X674),esk65_2(X673,X674),esk66_2(X673,X674)),esk63_2(X673,X674))
| X674 = vnoExp
| X674 = vnoExp
| ~ epred3_2(X674,X673) )
& ( ~ visSomeExp(esk69_2(X673,X674))
| X673 = vapp(vabs(esk64_2(X673,X674),esk65_2(X673,X674),esk66_2(X673,X674)),esk63_2(X673,X674))
| X674 = vnoExp
| X674 = vnoExp
| ~ epred3_2(X674,X673) )
& ( visValue(esk71_2(X673,X674))
| X673 = vapp(vabs(esk64_2(X673,X674),esk65_2(X673,X674),esk66_2(X673,X674)),esk63_2(X673,X674))
| X674 = vnoExp
| X674 = vnoExp
| ~ epred3_2(X674,X673) )
& ( X674 = vsomeExp(vsubst(esk70_2(X673,X674),esk71_2(X673,X674),esk72_2(X673,X674)))
| X673 = vapp(vabs(esk64_2(X673,X674),esk65_2(X673,X674),esk66_2(X673,X674)),esk63_2(X673,X674))
| X674 = vnoExp
| X674 = vnoExp
| ~ epred3_2(X674,X673) )
& ( X673 = vapp(vabs(esk70_2(X673,X674),esk68_2(X673,X674),esk72_2(X673,X674)),esk71_2(X673,X674))
| esk67_2(X673,X674) = vreduce(esk63_2(X673,X674))
| X674 = vnoExp
| X674 = vnoExp
| ~ epred3_2(X674,X673) )
& ( esk69_2(X673,X674) = vreduce(esk71_2(X673,X674))
| esk67_2(X673,X674) = vreduce(esk63_2(X673,X674))
| X674 = vnoExp
| X674 = vnoExp
| ~ epred3_2(X674,X673) )
& ( ~ visSomeExp(esk69_2(X673,X674))
| esk67_2(X673,X674) = vreduce(esk63_2(X673,X674))
| X674 = vnoExp
| X674 = vnoExp
| ~ epred3_2(X674,X673) )
& ( visValue(esk71_2(X673,X674))
| esk67_2(X673,X674) = vreduce(esk63_2(X673,X674))
| X674 = vnoExp
| X674 = vnoExp
| ~ epred3_2(X674,X673) )
& ( X674 = vsomeExp(vsubst(esk70_2(X673,X674),esk71_2(X673,X674),esk72_2(X673,X674)))
| esk67_2(X673,X674) = vreduce(esk63_2(X673,X674))
| X674 = vnoExp
| X674 = vnoExp
| ~ epred3_2(X674,X673) )
& ( X673 = vapp(vabs(esk70_2(X673,X674),esk68_2(X673,X674),esk72_2(X673,X674)),esk71_2(X673,X674))
| visSomeExp(esk67_2(X673,X674))
| X674 = vnoExp
| X674 = vnoExp
| ~ epred3_2(X674,X673) )
& ( esk69_2(X673,X674) = vreduce(esk71_2(X673,X674))
| visSomeExp(esk67_2(X673,X674))
| X674 = vnoExp
| X674 = vnoExp
| ~ epred3_2(X674,X673) )
& ( ~ visSomeExp(esk69_2(X673,X674))
| visSomeExp(esk67_2(X673,X674))
| X674 = vnoExp
| X674 = vnoExp
| ~ epred3_2(X674,X673) )
& ( visValue(esk71_2(X673,X674))
| visSomeExp(esk67_2(X673,X674))
| X674 = vnoExp
| X674 = vnoExp
| ~ epred3_2(X674,X673) )
& ( X674 = vsomeExp(vsubst(esk70_2(X673,X674),esk71_2(X673,X674),esk72_2(X673,X674)))
| visSomeExp(esk67_2(X673,X674))
| X674 = vnoExp
| X674 = vnoExp
| ~ epred3_2(X674,X673) )
& ( X673 = vapp(vabs(esk70_2(X673,X674),esk68_2(X673,X674),esk72_2(X673,X674)),esk71_2(X673,X674))
| X674 = vsomeExp(vapp(vabs(esk64_2(X673,X674),esk65_2(X673,X674),esk66_2(X673,X674)),vgetSomeExp(esk67_2(X673,X674))))
| X674 = vnoExp
| X674 = vnoExp
| ~ epred3_2(X674,X673) )
& ( esk69_2(X673,X674) = vreduce(esk71_2(X673,X674))
| X674 = vsomeExp(vapp(vabs(esk64_2(X673,X674),esk65_2(X673,X674),esk66_2(X673,X674)),vgetSomeExp(esk67_2(X673,X674))))
| X674 = vnoExp
| X674 = vnoExp
| ~ epred3_2(X674,X673) )
& ( ~ visSomeExp(esk69_2(X673,X674))
| X674 = vsomeExp(vapp(vabs(esk64_2(X673,X674),esk65_2(X673,X674),esk66_2(X673,X674)),vgetSomeExp(esk67_2(X673,X674))))
| X674 = vnoExp
| X674 = vnoExp
| ~ epred3_2(X674,X673) )
& ( visValue(esk71_2(X673,X674))
| X674 = vsomeExp(vapp(vabs(esk64_2(X673,X674),esk65_2(X673,X674),esk66_2(X673,X674)),vgetSomeExp(esk67_2(X673,X674))))
| X674 = vnoExp
| X674 = vnoExp
| ~ epred3_2(X674,X673) )
& ( X674 = vsomeExp(vsubst(esk70_2(X673,X674),esk71_2(X673,X674),esk72_2(X673,X674)))
| X674 = vsomeExp(vapp(vabs(esk64_2(X673,X674),esk65_2(X673,X674),esk66_2(X673,X674)),vgetSomeExp(esk67_2(X673,X674))))
| X674 = vnoExp
| X674 = vnoExp
| ~ epred3_2(X674,X673) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_58])])])])]) ).
fof(i_0_65,plain,
! [X4,X19] :
( epred4_2(X19,X4)
=> ( epred3_2(X19,X4)
| ? [X9,X10,X12,X26,X13] :
( X4 = vapp(vabs(X9,X10,X12),X13)
& X26 = vreduce(X13)
& ~ visSomeExp(X26)
& ~ visValue(X13)
& X19 = vnoExp )
| ? [X12,X27,X13] :
( X4 = vapp(X12,X13)
& ! [X28,X29,X30] : X12 != vabs(X28,X29,X30)
& X27 = vreduce(X12)
& visSomeExp(X27)
& X19 = vsomeExp(vapp(vgetSomeExp(X27),X13)) ) ) ),
inference(apply_def,[status(thm)],[inference(split_equiv,[status(thm)],[i_0_59]),c_0_55]) ).
fof(i_0_66,negated_conjecture,
~ ! [X9,X10,X20,X21,X35,X15] :
( ( X9 != X21
& ~ visFreeVar(X9,vabs(X21,X35,veabs))
& vtcheck(X20,vabs(X21,X35,veabs),X15) )
=> vtcheck(vbind(X9,X10,X20),vabs(X21,X35,veabs),X15) ),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],['T-Weak-FreeVar-abs-1'])]) ).
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,plain,
! [X9,X10,X20,X15] :
( ( ~ visFreeVar(X9,veabs)
& vtcheck(X20,veabs,X15) )
=> vtcheck(vbind(X9,X10,X20),veabs,X15) ),
inference(fof_simplification,[status(thm)],['T-Weak-FreeVar-abs-IH']) ).
fof(i_0_71,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_72,plain,
! [X4,X19] :
( vreduce(X4) = X19
=> ( epred4_2(X19,X4)
| ? [X13,X12,X27] :
( X4 = vapp(X12,X13)
& ! [X28,X29,X30] : X12 != vabs(X28,X29,X30)
& X27 = vreduce(X12)
& ~ visSomeExp(X27)
& X19 = vnoExp ) ) ),
inference(apply_def,[status(thm)],[inference(fof_simplification,[status(thm)],['reduce-INV']),c_0_59]) ).
fof(i_0_73,plain,
! [X12,X13,X4] :
( X4 = vapp(X12,X13)
=> ~ visValue(X4) ),
inference(fof_simplification,[status(thm)],[isValue2]) ).
fof(i_0_74,plain,
! [X14,X11] :
( vgensym(X11) = X14
=> ~ visFreeVar(X14,X11) ),
inference(fof_simplification,[status(thm)],['gensym-is-fresh']) ).
fof(i_0_75,plain,
! [X9,X4] :
( X4 = vvar(X9)
=> ~ visValue(X4) ),
inference(fof_simplification,[status(thm)],[isValue1]) ).
fof(i_0_76,plain,
! [X25] :
( X25 = vnoExp
=> ~ visSomeExp(X25) ),
inference(fof_simplification,[status(thm)],[isSomeExp0]) ).
fof(i_0_77,plain,
! [X18] :
( X18 = vnoType
=> ~ visSomeType(X18) ),
inference(fof_simplification,[status(thm)],[isSomeType0]) ).
fof(i_0_78,plain,
! [X654,X655,X656,X657] :
( ( X654 = esk53_4(X654,X655,X656,X657)
| X654 = esk49_4(X654,X655,X656,X657)
| X654 = esk45_4(X654,X655,X656,X657)
| epred1_4(X657,X656,X655,X654)
| ~ epred2_4(X657,X656,X655,X654) )
& ( X655 = esk54_4(X654,X655,X656,X657)
| X654 = esk49_4(X654,X655,X656,X657)
| X654 = esk45_4(X654,X655,X656,X657)
| epred1_4(X657,X656,X655,X654)
| ~ epred2_4(X657,X656,X655,X654) )
& ( X656 = vabs(esk56_4(X654,X655,X656,X657),esk55_4(X654,X655,X656,X657),esk58_4(X654,X655,X656,X657))
| X654 = esk49_4(X654,X655,X656,X657)
| X654 = esk45_4(X654,X655,X656,X657)
| epred1_4(X657,X656,X655,X654)
| ~ epred2_4(X657,X656,X655,X654) )
& ( esk53_4(X654,X655,X656,X657) != esk56_4(X654,X655,X656,X657)
| X654 = esk49_4(X654,X655,X656,X657)
| X654 = esk45_4(X654,X655,X656,X657)
| epred1_4(X657,X656,X655,X654)
| ~ epred2_4(X657,X656,X655,X654) )
& ( visFreeVar(esk56_4(X654,X655,X656,X657),esk54_4(X654,X655,X656,X657))
| X654 = esk49_4(X654,X655,X656,X657)
| X654 = esk45_4(X654,X655,X656,X657)
| epred1_4(X657,X656,X655,X654)
| ~ epred2_4(X657,X656,X655,X654) )
& ( esk57_4(X654,X655,X656,X657) = vgensym(vapp(vapp(esk54_4(X654,X655,X656,X657),esk58_4(X654,X655,X656,X657)),vvar(esk53_4(X654,X655,X656,X657))))
| X654 = esk49_4(X654,X655,X656,X657)
| X654 = esk45_4(X654,X655,X656,X657)
| epred1_4(X657,X656,X655,X654)
| ~ epred2_4(X657,X656,X655,X654) )
& ( X657 = vsubst(esk53_4(X654,X655,X656,X657),esk54_4(X654,X655,X656,X657),vabs(esk57_4(X654,X655,X656,X657),esk55_4(X654,X655,X656,X657),vsubst(esk56_4(X654,X655,X656,X657),vvar(esk57_4(X654,X655,X656,X657)),esk58_4(X654,X655,X656,X657))))
| X654 = esk49_4(X654,X655,X656,X657)
| X654 = esk45_4(X654,X655,X656,X657)
| epred1_4(X657,X656,X655,X654)
| ~ epred2_4(X657,X656,X655,X654) )
& ( X654 = esk53_4(X654,X655,X656,X657)
| X655 = esk48_4(X654,X655,X656,X657)
| X654 = esk45_4(X654,X655,X656,X657)
| epred1_4(X657,X656,X655,X654)
| ~ epred2_4(X657,X656,X655,X654) )
& ( X655 = esk54_4(X654,X655,X656,X657)
| X655 = esk48_4(X654,X655,X656,X657)
| X654 = esk45_4(X654,X655,X656,X657)
| epred1_4(X657,X656,X655,X654)
| ~ epred2_4(X657,X656,X655,X654) )
& ( X656 = vabs(esk56_4(X654,X655,X656,X657),esk55_4(X654,X655,X656,X657),esk58_4(X654,X655,X656,X657))
| X655 = esk48_4(X654,X655,X656,X657)
| X654 = esk45_4(X654,X655,X656,X657)
| epred1_4(X657,X656,X655,X654)
| ~ epred2_4(X657,X656,X655,X654) )
& ( esk53_4(X654,X655,X656,X657) != esk56_4(X654,X655,X656,X657)
| X655 = esk48_4(X654,X655,X656,X657)
| X654 = esk45_4(X654,X655,X656,X657)
| epred1_4(X657,X656,X655,X654)
| ~ epred2_4(X657,X656,X655,X654) )
& ( visFreeVar(esk56_4(X654,X655,X656,X657),esk54_4(X654,X655,X656,X657))
| X655 = esk48_4(X654,X655,X656,X657)
| X654 = esk45_4(X654,X655,X656,X657)
| epred1_4(X657,X656,X655,X654)
| ~ epred2_4(X657,X656,X655,X654) )
& ( esk57_4(X654,X655,X656,X657) = vgensym(vapp(vapp(esk54_4(X654,X655,X656,X657),esk58_4(X654,X655,X656,X657)),vvar(esk53_4(X654,X655,X656,X657))))
| X655 = esk48_4(X654,X655,X656,X657)
| X654 = esk45_4(X654,X655,X656,X657)
| epred1_4(X657,X656,X655,X654)
| ~ epred2_4(X657,X656,X655,X654) )
& ( X657 = vsubst(esk53_4(X654,X655,X656,X657),esk54_4(X654,X655,X656,X657),vabs(esk57_4(X654,X655,X656,X657),esk55_4(X654,X655,X656,X657),vsubst(esk56_4(X654,X655,X656,X657),vvar(esk57_4(X654,X655,X656,X657)),esk58_4(X654,X655,X656,X657))))
| X655 = esk48_4(X654,X655,X656,X657)
| X654 = esk45_4(X654,X655,X656,X657)
| epred1_4(X657,X656,X655,X654)
| ~ epred2_4(X657,X656,X655,X654) )
& ( X654 = esk53_4(X654,X655,X656,X657)
| X656 = vabs(esk50_4(X654,X655,X656,X657),esk51_4(X654,X655,X656,X657),esk52_4(X654,X655,X656,X657))
| X654 = esk45_4(X654,X655,X656,X657)
| epred1_4(X657,X656,X655,X654)
| ~ epred2_4(X657,X656,X655,X654) )
& ( X655 = esk54_4(X654,X655,X656,X657)
| X656 = vabs(esk50_4(X654,X655,X656,X657),esk51_4(X654,X655,X656,X657),esk52_4(X654,X655,X656,X657))
| X654 = esk45_4(X654,X655,X656,X657)
| epred1_4(X657,X656,X655,X654)
| ~ epred2_4(X657,X656,X655,X654) )
& ( X656 = vabs(esk56_4(X654,X655,X656,X657),esk55_4(X654,X655,X656,X657),esk58_4(X654,X655,X656,X657))
| X656 = vabs(esk50_4(X654,X655,X656,X657),esk51_4(X654,X655,X656,X657),esk52_4(X654,X655,X656,X657))
| X654 = esk45_4(X654,X655,X656,X657)
| epred1_4(X657,X656,X655,X654)
| ~ epred2_4(X657,X656,X655,X654) )
& ( esk53_4(X654,X655,X656,X657) != esk56_4(X654,X655,X656,X657)
| X656 = vabs(esk50_4(X654,X655,X656,X657),esk51_4(X654,X655,X656,X657),esk52_4(X654,X655,X656,X657))
| X654 = esk45_4(X654,X655,X656,X657)
| epred1_4(X657,X656,X655,X654)
| ~ epred2_4(X657,X656,X655,X654) )
& ( visFreeVar(esk56_4(X654,X655,X656,X657),esk54_4(X654,X655,X656,X657))
| X656 = vabs(esk50_4(X654,X655,X656,X657),esk51_4(X654,X655,X656,X657),esk52_4(X654,X655,X656,X657))
| X654 = esk45_4(X654,X655,X656,X657)
| epred1_4(X657,X656,X655,X654)
| ~ epred2_4(X657,X656,X655,X654) )
& ( esk57_4(X654,X655,X656,X657) = vgensym(vapp(vapp(esk54_4(X654,X655,X656,X657),esk58_4(X654,X655,X656,X657)),vvar(esk53_4(X654,X655,X656,X657))))
| X656 = vabs(esk50_4(X654,X655,X656,X657),esk51_4(X654,X655,X656,X657),esk52_4(X654,X655,X656,X657))
| X654 = esk45_4(X654,X655,X656,X657)
| epred1_4(X657,X656,X655,X654)
| ~ epred2_4(X657,X656,X655,X654) )
& ( X657 = vsubst(esk53_4(X654,X655,X656,X657),esk54_4(X654,X655,X656,X657),vabs(esk57_4(X654,X655,X656,X657),esk55_4(X654,X655,X656,X657),vsubst(esk56_4(X654,X655,X656,X657),vvar(esk57_4(X654,X655,X656,X657)),esk58_4(X654,X655,X656,X657))))
| X656 = vabs(esk50_4(X654,X655,X656,X657),esk51_4(X654,X655,X656,X657),esk52_4(X654,X655,X656,X657))
| X654 = esk45_4(X654,X655,X656,X657)
| epred1_4(X657,X656,X655,X654)
| ~ epred2_4(X657,X656,X655,X654) )
& ( X654 = esk53_4(X654,X655,X656,X657)
| esk49_4(X654,X655,X656,X657) = esk50_4(X654,X655,X656,X657)
| X654 = esk45_4(X654,X655,X656,X657)
| epred1_4(X657,X656,X655,X654)
| ~ epred2_4(X657,X656,X655,X654) )
& ( X655 = esk54_4(X654,X655,X656,X657)
| esk49_4(X654,X655,X656,X657) = esk50_4(X654,X655,X656,X657)
| X654 = esk45_4(X654,X655,X656,X657)
| epred1_4(X657,X656,X655,X654)
| ~ epred2_4(X657,X656,X655,X654) )
& ( X656 = vabs(esk56_4(X654,X655,X656,X657),esk55_4(X654,X655,X656,X657),esk58_4(X654,X655,X656,X657))
| esk49_4(X654,X655,X656,X657) = esk50_4(X654,X655,X656,X657)
| X654 = esk45_4(X654,X655,X656,X657)
| epred1_4(X657,X656,X655,X654)
| ~ epred2_4(X657,X656,X655,X654) )
& ( esk53_4(X654,X655,X656,X657) != esk56_4(X654,X655,X656,X657)
| esk49_4(X654,X655,X656,X657) = esk50_4(X654,X655,X656,X657)
| X654 = esk45_4(X654,X655,X656,X657)
| epred1_4(X657,X656,X655,X654)
| ~ epred2_4(X657,X656,X655,X654) )
& ( visFreeVar(esk56_4(X654,X655,X656,X657),esk54_4(X654,X655,X656,X657))
| esk49_4(X654,X655,X656,X657) = esk50_4(X654,X655,X656,X657)
| X654 = esk45_4(X654,X655,X656,X657)
| epred1_4(X657,X656,X655,X654)
| ~ epred2_4(X657,X656,X655,X654) )
& ( esk57_4(X654,X655,X656,X657) = vgensym(vapp(vapp(esk54_4(X654,X655,X656,X657),esk58_4(X654,X655,X656,X657)),vvar(esk53_4(X654,X655,X656,X657))))
| esk49_4(X654,X655,X656,X657) = esk50_4(X654,X655,X656,X657)
| X654 = esk45_4(X654,X655,X656,X657)
| epred1_4(X657,X656,X655,X654)
| ~ epred2_4(X657,X656,X655,X654) )
& ( X657 = vsubst(esk53_4(X654,X655,X656,X657),esk54_4(X654,X655,X656,X657),vabs(esk57_4(X654,X655,X656,X657),esk55_4(X654,X655,X656,X657),vsubst(esk56_4(X654,X655,X656,X657),vvar(esk57_4(X654,X655,X656,X657)),esk58_4(X654,X655,X656,X657))))
| esk49_4(X654,X655,X656,X657) = esk50_4(X654,X655,X656,X657)
| X654 = esk45_4(X654,X655,X656,X657)
| epred1_4(X657,X656,X655,X654)
| ~ epred2_4(X657,X656,X655,X654) )
& ( X654 = esk53_4(X654,X655,X656,X657)
| X657 = vabs(esk50_4(X654,X655,X656,X657),esk51_4(X654,X655,X656,X657),esk52_4(X654,X655,X656,X657))
| X654 = esk45_4(X654,X655,X656,X657)
| epred1_4(X657,X656,X655,X654)
| ~ epred2_4(X657,X656,X655,X654) )
& ( X655 = esk54_4(X654,X655,X656,X657)
| X657 = vabs(esk50_4(X654,X655,X656,X657),esk51_4(X654,X655,X656,X657),esk52_4(X654,X655,X656,X657))
| X654 = esk45_4(X654,X655,X656,X657)
| epred1_4(X657,X656,X655,X654)
| ~ epred2_4(X657,X656,X655,X654) )
& ( X656 = vabs(esk56_4(X654,X655,X656,X657),esk55_4(X654,X655,X656,X657),esk58_4(X654,X655,X656,X657))
| X657 = vabs(esk50_4(X654,X655,X656,X657),esk51_4(X654,X655,X656,X657),esk52_4(X654,X655,X656,X657))
| X654 = esk45_4(X654,X655,X656,X657)
| epred1_4(X657,X656,X655,X654)
| ~ epred2_4(X657,X656,X655,X654) )
& ( esk53_4(X654,X655,X656,X657) != esk56_4(X654,X655,X656,X657)
| X657 = vabs(esk50_4(X654,X655,X656,X657),esk51_4(X654,X655,X656,X657),esk52_4(X654,X655,X656,X657))
| X654 = esk45_4(X654,X655,X656,X657)
| epred1_4(X657,X656,X655,X654)
| ~ epred2_4(X657,X656,X655,X654) )
& ( visFreeVar(esk56_4(X654,X655,X656,X657),esk54_4(X654,X655,X656,X657))
| X657 = vabs(esk50_4(X654,X655,X656,X657),esk51_4(X654,X655,X656,X657),esk52_4(X654,X655,X656,X657))
| X654 = esk45_4(X654,X655,X656,X657)
| epred1_4(X657,X656,X655,X654)
| ~ epred2_4(X657,X656,X655,X654) )
& ( esk57_4(X654,X655,X656,X657) = vgensym(vapp(vapp(esk54_4(X654,X655,X656,X657),esk58_4(X654,X655,X656,X657)),vvar(esk53_4(X654,X655,X656,X657))))
| X657 = vabs(esk50_4(X654,X655,X656,X657),esk51_4(X654,X655,X656,X657),esk52_4(X654,X655,X656,X657))
| X654 = esk45_4(X654,X655,X656,X657)
| epred1_4(X657,X656,X655,X654)
| ~ epred2_4(X657,X656,X655,X654) )
& ( X657 = vsubst(esk53_4(X654,X655,X656,X657),esk54_4(X654,X655,X656,X657),vabs(esk57_4(X654,X655,X656,X657),esk55_4(X654,X655,X656,X657),vsubst(esk56_4(X654,X655,X656,X657),vvar(esk57_4(X654,X655,X656,X657)),esk58_4(X654,X655,X656,X657))))
| X657 = vabs(esk50_4(X654,X655,X656,X657),esk51_4(X654,X655,X656,X657),esk52_4(X654,X655,X656,X657))
| X654 = esk45_4(X654,X655,X656,X657)
| epred1_4(X657,X656,X655,X654)
| ~ epred2_4(X657,X656,X655,X654) )
& ( X654 = esk53_4(X654,X655,X656,X657)
| X654 = esk49_4(X654,X655,X656,X657)
| X655 = esk46_4(X654,X655,X656,X657)
| epred1_4(X657,X656,X655,X654)
| ~ epred2_4(X657,X656,X655,X654) )
& ( X655 = esk54_4(X654,X655,X656,X657)
| X654 = esk49_4(X654,X655,X656,X657)
| X655 = esk46_4(X654,X655,X656,X657)
| epred1_4(X657,X656,X655,X654)
| ~ epred2_4(X657,X656,X655,X654) )
& ( X656 = vabs(esk56_4(X654,X655,X656,X657),esk55_4(X654,X655,X656,X657),esk58_4(X654,X655,X656,X657))
| X654 = esk49_4(X654,X655,X656,X657)
| X655 = esk46_4(X654,X655,X656,X657)
| epred1_4(X657,X656,X655,X654)
| ~ epred2_4(X657,X656,X655,X654) )
& ( esk53_4(X654,X655,X656,X657) != esk56_4(X654,X655,X656,X657)
| X654 = esk49_4(X654,X655,X656,X657)
| X655 = esk46_4(X654,X655,X656,X657)
| epred1_4(X657,X656,X655,X654)
| ~ epred2_4(X657,X656,X655,X654) )
& ( visFreeVar(esk56_4(X654,X655,X656,X657),esk54_4(X654,X655,X656,X657))
| X654 = esk49_4(X654,X655,X656,X657)
| X655 = esk46_4(X654,X655,X656,X657)
| epred1_4(X657,X656,X655,X654)
| ~ epred2_4(X657,X656,X655,X654) )
& ( esk57_4(X654,X655,X656,X657) = vgensym(vapp(vapp(esk54_4(X654,X655,X656,X657),esk58_4(X654,X655,X656,X657)),vvar(esk53_4(X654,X655,X656,X657))))
| X654 = esk49_4(X654,X655,X656,X657)
| X655 = esk46_4(X654,X655,X656,X657)
| epred1_4(X657,X656,X655,X654)
| ~ epred2_4(X657,X656,X655,X654) )
& ( X657 = vsubst(esk53_4(X654,X655,X656,X657),esk54_4(X654,X655,X656,X657),vabs(esk57_4(X654,X655,X656,X657),esk55_4(X654,X655,X656,X657),vsubst(esk56_4(X654,X655,X656,X657),vvar(esk57_4(X654,X655,X656,X657)),esk58_4(X654,X655,X656,X657))))
| X654 = esk49_4(X654,X655,X656,X657)
| X655 = esk46_4(X654,X655,X656,X657)
| epred1_4(X657,X656,X655,X654)
| ~ epred2_4(X657,X656,X655,X654) )
& ( X654 = esk53_4(X654,X655,X656,X657)
| X655 = esk48_4(X654,X655,X656,X657)
| X655 = esk46_4(X654,X655,X656,X657)
| epred1_4(X657,X656,X655,X654)
| ~ epred2_4(X657,X656,X655,X654) )
& ( X655 = esk54_4(X654,X655,X656,X657)
| X655 = esk48_4(X654,X655,X656,X657)
| X655 = esk46_4(X654,X655,X656,X657)
| epred1_4(X657,X656,X655,X654)
| ~ epred2_4(X657,X656,X655,X654) )
& ( X656 = vabs(esk56_4(X654,X655,X656,X657),esk55_4(X654,X655,X656,X657),esk58_4(X654,X655,X656,X657))
| X655 = esk48_4(X654,X655,X656,X657)
| X655 = esk46_4(X654,X655,X656,X657)
| epred1_4(X657,X656,X655,X654)
| ~ epred2_4(X657,X656,X655,X654) )
& ( esk53_4(X654,X655,X656,X657) != esk56_4(X654,X655,X656,X657)
| X655 = esk48_4(X654,X655,X656,X657)
| X655 = esk46_4(X654,X655,X656,X657)
| epred1_4(X657,X656,X655,X654)
| ~ epred2_4(X657,X656,X655,X654) )
& ( visFreeVar(esk56_4(X654,X655,X656,X657),esk54_4(X654,X655,X656,X657))
| X655 = esk48_4(X654,X655,X656,X657)
| X655 = esk46_4(X654,X655,X656,X657)
| epred1_4(X657,X656,X655,X654)
| ~ epred2_4(X657,X656,X655,X654) )
& ( esk57_4(X654,X655,X656,X657) = vgensym(vapp(vapp(esk54_4(X654,X655,X656,X657),esk58_4(X654,X655,X656,X657)),vvar(esk53_4(X654,X655,X656,X657))))
| X655 = esk48_4(X654,X655,X656,X657)
| X655 = esk46_4(X654,X655,X656,X657)
| epred1_4(X657,X656,X655,X654)
| ~ epred2_4(X657,X656,X655,X654) )
& ( X657 = vsubst(esk53_4(X654,X655,X656,X657),esk54_4(X654,X655,X656,X657),vabs(esk57_4(X654,X655,X656,X657),esk55_4(X654,X655,X656,X657),vsubst(esk56_4(X654,X655,X656,X657),vvar(esk57_4(X654,X655,X656,X657)),esk58_4(X654,X655,X656,X657))))
| X655 = esk48_4(X654,X655,X656,X657)
| X655 = esk46_4(X654,X655,X656,X657)
| epred1_4(X657,X656,X655,X654)
| ~ epred2_4(X657,X656,X655,X654) )
& ( X654 = esk53_4(X654,X655,X656,X657)
| X656 = vabs(esk50_4(X654,X655,X656,X657),esk51_4(X654,X655,X656,X657),esk52_4(X654,X655,X656,X657))
| X655 = esk46_4(X654,X655,X656,X657)
| epred1_4(X657,X656,X655,X654)
| ~ epred2_4(X657,X656,X655,X654) )
& ( X655 = esk54_4(X654,X655,X656,X657)
| X656 = vabs(esk50_4(X654,X655,X656,X657),esk51_4(X654,X655,X656,X657),esk52_4(X654,X655,X656,X657))
| X655 = esk46_4(X654,X655,X656,X657)
| epred1_4(X657,X656,X655,X654)
| ~ epred2_4(X657,X656,X655,X654) )
& ( X656 = vabs(esk56_4(X654,X655,X656,X657),esk55_4(X654,X655,X656,X657),esk58_4(X654,X655,X656,X657))
| X656 = vabs(esk50_4(X654,X655,X656,X657),esk51_4(X654,X655,X656,X657),esk52_4(X654,X655,X656,X657))
| X655 = esk46_4(X654,X655,X656,X657)
| epred1_4(X657,X656,X655,X654)
| ~ epred2_4(X657,X656,X655,X654) )
& ( esk53_4(X654,X655,X656,X657) != esk56_4(X654,X655,X656,X657)
| X656 = vabs(esk50_4(X654,X655,X656,X657),esk51_4(X654,X655,X656,X657),esk52_4(X654,X655,X656,X657))
| X655 = esk46_4(X654,X655,X656,X657)
| epred1_4(X657,X656,X655,X654)
| ~ epred2_4(X657,X656,X655,X654) )
& ( visFreeVar(esk56_4(X654,X655,X656,X657),esk54_4(X654,X655,X656,X657))
| X656 = vabs(esk50_4(X654,X655,X656,X657),esk51_4(X654,X655,X656,X657),esk52_4(X654,X655,X656,X657))
| X655 = esk46_4(X654,X655,X656,X657)
| epred1_4(X657,X656,X655,X654)
| ~ epred2_4(X657,X656,X655,X654) )
& ( esk57_4(X654,X655,X656,X657) = vgensym(vapp(vapp(esk54_4(X654,X655,X656,X657),esk58_4(X654,X655,X656,X657)),vvar(esk53_4(X654,X655,X656,X657))))
| X656 = vabs(esk50_4(X654,X655,X656,X657),esk51_4(X654,X655,X656,X657),esk52_4(X654,X655,X656,X657))
| X655 = esk46_4(X654,X655,X656,X657)
| epred1_4(X657,X656,X655,X654)
| ~ epred2_4(X657,X656,X655,X654) )
& ( X657 = vsubst(esk53_4(X654,X655,X656,X657),esk54_4(X654,X655,X656,X657),vabs(esk57_4(X654,X655,X656,X657),esk55_4(X654,X655,X656,X657),vsubst(esk56_4(X654,X655,X656,X657),vvar(esk57_4(X654,X655,X656,X657)),esk58_4(X654,X655,X656,X657))))
| X656 = vabs(esk50_4(X654,X655,X656,X657),esk51_4(X654,X655,X656,X657),esk52_4(X654,X655,X656,X657))
| X655 = esk46_4(X654,X655,X656,X657)
| epred1_4(X657,X656,X655,X654)
| ~ epred2_4(X657,X656,X655,X654) )
& ( X654 = esk53_4(X654,X655,X656,X657)
| esk49_4(X654,X655,X656,X657) = esk50_4(X654,X655,X656,X657)
| X655 = esk46_4(X654,X655,X656,X657)
| epred1_4(X657,X656,X655,X654)
| ~ epred2_4(X657,X656,X655,X654) )
& ( X655 = esk54_4(X654,X655,X656,X657)
| esk49_4(X654,X655,X656,X657) = esk50_4(X654,X655,X656,X657)
| X655 = esk46_4(X654,X655,X656,X657)
| epred1_4(X657,X656,X655,X654)
| ~ epred2_4(X657,X656,X655,X654) )
& ( X656 = vabs(esk56_4(X654,X655,X656,X657),esk55_4(X654,X655,X656,X657),esk58_4(X654,X655,X656,X657))
| esk49_4(X654,X655,X656,X657) = esk50_4(X654,X655,X656,X657)
| X655 = esk46_4(X654,X655,X656,X657)
| epred1_4(X657,X656,X655,X654)
| ~ epred2_4(X657,X656,X655,X654) )
& ( esk53_4(X654,X655,X656,X657) != esk56_4(X654,X655,X656,X657)
| esk49_4(X654,X655,X656,X657) = esk50_4(X654,X655,X656,X657)
| X655 = esk46_4(X654,X655,X656,X657)
| epred1_4(X657,X656,X655,X654)
| ~ epred2_4(X657,X656,X655,X654) )
& ( visFreeVar(esk56_4(X654,X655,X656,X657),esk54_4(X654,X655,X656,X657))
| esk49_4(X654,X655,X656,X657) = esk50_4(X654,X655,X656,X657)
| X655 = esk46_4(X654,X655,X656,X657)
| epred1_4(X657,X656,X655,X654)
| ~ epred2_4(X657,X656,X655,X654) )
& ( esk57_4(X654,X655,X656,X657) = vgensym(vapp(vapp(esk54_4(X654,X655,X656,X657),esk58_4(X654,X655,X656,X657)),vvar(esk53_4(X654,X655,X656,X657))))
| esk49_4(X654,X655,X656,X657) = esk50_4(X654,X655,X656,X657)
| X655 = esk46_4(X654,X655,X656,X657)
| epred1_4(X657,X656,X655,X654)
| ~ epred2_4(X657,X656,X655,X654) )
& ( X657 = vsubst(esk53_4(X654,X655,X656,X657),esk54_4(X654,X655,X656,X657),vabs(esk57_4(X654,X655,X656,X657),esk55_4(X654,X655,X656,X657),vsubst(esk56_4(X654,X655,X656,X657),vvar(esk57_4(X654,X655,X656,X657)),esk58_4(X654,X655,X656,X657))))
| esk49_4(X654,X655,X656,X657) = esk50_4(X654,X655,X656,X657)
| X655 = esk46_4(X654,X655,X656,X657)
| epred1_4(X657,X656,X655,X654)
| ~ epred2_4(X657,X656,X655,X654) )
& ( X654 = esk53_4(X654,X655,X656,X657)
| X657 = vabs(esk50_4(X654,X655,X656,X657),esk51_4(X654,X655,X656,X657),esk52_4(X654,X655,X656,X657))
| X655 = esk46_4(X654,X655,X656,X657)
| epred1_4(X657,X656,X655,X654)
| ~ epred2_4(X657,X656,X655,X654) )
& ( X655 = esk54_4(X654,X655,X656,X657)
| X657 = vabs(esk50_4(X654,X655,X656,X657),esk51_4(X654,X655,X656,X657),esk52_4(X654,X655,X656,X657))
| X655 = esk46_4(X654,X655,X656,X657)
| epred1_4(X657,X656,X655,X654)
| ~ epred2_4(X657,X656,X655,X654) )
& ( X656 = vabs(esk56_4(X654,X655,X656,X657),esk55_4(X654,X655,X656,X657),esk58_4(X654,X655,X656,X657))
| X657 = vabs(esk50_4(X654,X655,X656,X657),esk51_4(X654,X655,X656,X657),esk52_4(X654,X655,X656,X657))
| X655 = esk46_4(X654,X655,X656,X657)
| epred1_4(X657,X656,X655,X654)
| ~ epred2_4(X657,X656,X655,X654) )
& ( esk53_4(X654,X655,X656,X657) != esk56_4(X654,X655,X656,X657)
| X657 = vabs(esk50_4(X654,X655,X656,X657),esk51_4(X654,X655,X656,X657),esk52_4(X654,X655,X656,X657))
| X655 = esk46_4(X654,X655,X656,X657)
| epred1_4(X657,X656,X655,X654)
| ~ epred2_4(X657,X656,X655,X654) )
& ( visFreeVar(esk56_4(X654,X655,X656,X657),esk54_4(X654,X655,X656,X657))
| X657 = vabs(esk50_4(X654,X655,X656,X657),esk51_4(X654,X655,X656,X657),esk52_4(X654,X655,X656,X657))
| X655 = esk46_4(X654,X655,X656,X657)
| epred1_4(X657,X656,X655,X654)
| ~ epred2_4(X657,X656,X655,X654) )
& ( esk57_4(X654,X655,X656,X657) = vgensym(vapp(vapp(esk54_4(X654,X655,X656,X657),esk58_4(X654,X655,X656,X657)),vvar(esk53_4(X654,X655,X656,X657))))
| X657 = vabs(esk50_4(X654,X655,X656,X657),esk51_4(X654,X655,X656,X657),esk52_4(X654,X655,X656,X657))
| X655 = esk46_4(X654,X655,X656,X657)
| epred1_4(X657,X656,X655,X654)
| ~ epred2_4(X657,X656,X655,X654) )
& ( X657 = vsubst(esk53_4(X654,X655,X656,X657),esk54_4(X654,X655,X656,X657),vabs(esk57_4(X654,X655,X656,X657),esk55_4(X654,X655,X656,X657),vsubst(esk56_4(X654,X655,X656,X657),vvar(esk57_4(X654,X655,X656,X657)),esk58_4(X654,X655,X656,X657))))
| X657 = vabs(esk50_4(X654,X655,X656,X657),esk51_4(X654,X655,X656,X657),esk52_4(X654,X655,X656,X657))
| X655 = esk46_4(X654,X655,X656,X657)
| epred1_4(X657,X656,X655,X654)
| ~ epred2_4(X657,X656,X655,X654) )
& ( X654 = esk53_4(X654,X655,X656,X657)
| X654 = esk49_4(X654,X655,X656,X657)
| X656 = vapp(esk44_4(X654,X655,X656,X657),esk47_4(X654,X655,X656,X657))
| epred1_4(X657,X656,X655,X654)
| ~ epred2_4(X657,X656,X655,X654) )
& ( X655 = esk54_4(X654,X655,X656,X657)
| X654 = esk49_4(X654,X655,X656,X657)
| X656 = vapp(esk44_4(X654,X655,X656,X657),esk47_4(X654,X655,X656,X657))
| epred1_4(X657,X656,X655,X654)
| ~ epred2_4(X657,X656,X655,X654) )
& ( X656 = vabs(esk56_4(X654,X655,X656,X657),esk55_4(X654,X655,X656,X657),esk58_4(X654,X655,X656,X657))
| X654 = esk49_4(X654,X655,X656,X657)
| X656 = vapp(esk44_4(X654,X655,X656,X657),esk47_4(X654,X655,X656,X657))
| epred1_4(X657,X656,X655,X654)
| ~ epred2_4(X657,X656,X655,X654) )
& ( esk53_4(X654,X655,X656,X657) != esk56_4(X654,X655,X656,X657)
| X654 = esk49_4(X654,X655,X656,X657)
| X656 = vapp(esk44_4(X654,X655,X656,X657),esk47_4(X654,X655,X656,X657))
| epred1_4(X657,X656,X655,X654)
| ~ epred2_4(X657,X656,X655,X654) )
& ( visFreeVar(esk56_4(X654,X655,X656,X657),esk54_4(X654,X655,X656,X657))
| X654 = esk49_4(X654,X655,X656,X657)
| X656 = vapp(esk44_4(X654,X655,X656,X657),esk47_4(X654,X655,X656,X657))
| epred1_4(X657,X656,X655,X654)
| ~ epred2_4(X657,X656,X655,X654) )
& ( esk57_4(X654,X655,X656,X657) = vgensym(vapp(vapp(esk54_4(X654,X655,X656,X657),esk58_4(X654,X655,X656,X657)),vvar(esk53_4(X654,X655,X656,X657))))
| X654 = esk49_4(X654,X655,X656,X657)
| X656 = vapp(esk44_4(X654,X655,X656,X657),esk47_4(X654,X655,X656,X657))
| epred1_4(X657,X656,X655,X654)
| ~ epred2_4(X657,X656,X655,X654) )
& ( X657 = vsubst(esk53_4(X654,X655,X656,X657),esk54_4(X654,X655,X656,X657),vabs(esk57_4(X654,X655,X656,X657),esk55_4(X654,X655,X656,X657),vsubst(esk56_4(X654,X655,X656,X657),vvar(esk57_4(X654,X655,X656,X657)),esk58_4(X654,X655,X656,X657))))
| X654 = esk49_4(X654,X655,X656,X657)
| X656 = vapp(esk44_4(X654,X655,X656,X657),esk47_4(X654,X655,X656,X657))
| epred1_4(X657,X656,X655,X654)
| ~ epred2_4(X657,X656,X655,X654) )
& ( X654 = esk53_4(X654,X655,X656,X657)
| X655 = esk48_4(X654,X655,X656,X657)
| X656 = vapp(esk44_4(X654,X655,X656,X657),esk47_4(X654,X655,X656,X657))
| epred1_4(X657,X656,X655,X654)
| ~ epred2_4(X657,X656,X655,X654) )
& ( X655 = esk54_4(X654,X655,X656,X657)
| X655 = esk48_4(X654,X655,X656,X657)
| X656 = vapp(esk44_4(X654,X655,X656,X657),esk47_4(X654,X655,X656,X657))
| epred1_4(X657,X656,X655,X654)
| ~ epred2_4(X657,X656,X655,X654) )
& ( X656 = vabs(esk56_4(X654,X655,X656,X657),esk55_4(X654,X655,X656,X657),esk58_4(X654,X655,X656,X657))
| X655 = esk48_4(X654,X655,X656,X657)
| X656 = vapp(esk44_4(X654,X655,X656,X657),esk47_4(X654,X655,X656,X657))
| epred1_4(X657,X656,X655,X654)
| ~ epred2_4(X657,X656,X655,X654) )
& ( esk53_4(X654,X655,X656,X657) != esk56_4(X654,X655,X656,X657)
| X655 = esk48_4(X654,X655,X656,X657)
| X656 = vapp(esk44_4(X654,X655,X656,X657),esk47_4(X654,X655,X656,X657))
| epred1_4(X657,X656,X655,X654)
| ~ epred2_4(X657,X656,X655,X654) )
& ( visFreeVar(esk56_4(X654,X655,X656,X657),esk54_4(X654,X655,X656,X657))
| X655 = esk48_4(X654,X655,X656,X657)
| X656 = vapp(esk44_4(X654,X655,X656,X657),esk47_4(X654,X655,X656,X657))
| epred1_4(X657,X656,X655,X654)
| ~ epred2_4(X657,X656,X655,X654) )
& ( esk57_4(X654,X655,X656,X657) = vgensym(vapp(vapp(esk54_4(X654,X655,X656,X657),esk58_4(X654,X655,X656,X657)),vvar(esk53_4(X654,X655,X656,X657))))
| X655 = esk48_4(X654,X655,X656,X657)
| X656 = vapp(esk44_4(X654,X655,X656,X657),esk47_4(X654,X655,X656,X657))
| epred1_4(X657,X656,X655,X654)
| ~ epred2_4(X657,X656,X655,X654) )
& ( X657 = vsubst(esk53_4(X654,X655,X656,X657),esk54_4(X654,X655,X656,X657),vabs(esk57_4(X654,X655,X656,X657),esk55_4(X654,X655,X656,X657),vsubst(esk56_4(X654,X655,X656,X657),vvar(esk57_4(X654,X655,X656,X657)),esk58_4(X654,X655,X656,X657))))
| X655 = esk48_4(X654,X655,X656,X657)
| X656 = vapp(esk44_4(X654,X655,X656,X657),esk47_4(X654,X655,X656,X657))
| epred1_4(X657,X656,X655,X654)
| ~ epred2_4(X657,X656,X655,X654) )
& ( X654 = esk53_4(X654,X655,X656,X657)
| X656 = vabs(esk50_4(X654,X655,X656,X657),esk51_4(X654,X655,X656,X657),esk52_4(X654,X655,X656,X657))
| X656 = vapp(esk44_4(X654,X655,X656,X657),esk47_4(X654,X655,X656,X657))
| epred1_4(X657,X656,X655,X654)
| ~ epred2_4(X657,X656,X655,X654) )
& ( X655 = esk54_4(X654,X655,X656,X657)
| X656 = vabs(esk50_4(X654,X655,X656,X657),esk51_4(X654,X655,X656,X657),esk52_4(X654,X655,X656,X657))
| X656 = vapp(esk44_4(X654,X655,X656,X657),esk47_4(X654,X655,X656,X657))
| epred1_4(X657,X656,X655,X654)
| ~ epred2_4(X657,X656,X655,X654) )
& ( X656 = vabs(esk56_4(X654,X655,X656,X657),esk55_4(X654,X655,X656,X657),esk58_4(X654,X655,X656,X657))
| X656 = vabs(esk50_4(X654,X655,X656,X657),esk51_4(X654,X655,X656,X657),esk52_4(X654,X655,X656,X657))
| X656 = vapp(esk44_4(X654,X655,X656,X657),esk47_4(X654,X655,X656,X657))
| epred1_4(X657,X656,X655,X654)
| ~ epred2_4(X657,X656,X655,X654) )
& ( esk53_4(X654,X655,X656,X657) != esk56_4(X654,X655,X656,X657)
| X656 = vabs(esk50_4(X654,X655,X656,X657),esk51_4(X654,X655,X656,X657),esk52_4(X654,X655,X656,X657))
| X656 = vapp(esk44_4(X654,X655,X656,X657),esk47_4(X654,X655,X656,X657))
| epred1_4(X657,X656,X655,X654)
| ~ epred2_4(X657,X656,X655,X654) )
& ( visFreeVar(esk56_4(X654,X655,X656,X657),esk54_4(X654,X655,X656,X657))
| X656 = vabs(esk50_4(X654,X655,X656,X657),esk51_4(X654,X655,X656,X657),esk52_4(X654,X655,X656,X657))
| X656 = vapp(esk44_4(X654,X655,X656,X657),esk47_4(X654,X655,X656,X657))
| epred1_4(X657,X656,X655,X654)
| ~ epred2_4(X657,X656,X655,X654) )
& ( esk57_4(X654,X655,X656,X657) = vgensym(vapp(vapp(esk54_4(X654,X655,X656,X657),esk58_4(X654,X655,X656,X657)),vvar(esk53_4(X654,X655,X656,X657))))
| X656 = vabs(esk50_4(X654,X655,X656,X657),esk51_4(X654,X655,X656,X657),esk52_4(X654,X655,X656,X657))
| X656 = vapp(esk44_4(X654,X655,X656,X657),esk47_4(X654,X655,X656,X657))
| epred1_4(X657,X656,X655,X654)
| ~ epred2_4(X657,X656,X655,X654) )
& ( X657 = vsubst(esk53_4(X654,X655,X656,X657),esk54_4(X654,X655,X656,X657),vabs(esk57_4(X654,X655,X656,X657),esk55_4(X654,X655,X656,X657),vsubst(esk56_4(X654,X655,X656,X657),vvar(esk57_4(X654,X655,X656,X657)),esk58_4(X654,X655,X656,X657))))
| X656 = vabs(esk50_4(X654,X655,X656,X657),esk51_4(X654,X655,X656,X657),esk52_4(X654,X655,X656,X657))
| X656 = vapp(esk44_4(X654,X655,X656,X657),esk47_4(X654,X655,X656,X657))
| epred1_4(X657,X656,X655,X654)
| ~ epred2_4(X657,X656,X655,X654) )
& ( X654 = esk53_4(X654,X655,X656,X657)
| esk49_4(X654,X655,X656,X657) = esk50_4(X654,X655,X656,X657)
| X656 = vapp(esk44_4(X654,X655,X656,X657),esk47_4(X654,X655,X656,X657))
| epred1_4(X657,X656,X655,X654)
| ~ epred2_4(X657,X656,X655,X654) )
& ( X655 = esk54_4(X654,X655,X656,X657)
| esk49_4(X654,X655,X656,X657) = esk50_4(X654,X655,X656,X657)
| X656 = vapp(esk44_4(X654,X655,X656,X657),esk47_4(X654,X655,X656,X657))
| epred1_4(X657,X656,X655,X654)
| ~ epred2_4(X657,X656,X655,X654) )
& ( X656 = vabs(esk56_4(X654,X655,X656,X657),esk55_4(X654,X655,X656,X657),esk58_4(X654,X655,X656,X657))
| esk49_4(X654,X655,X656,X657) = esk50_4(X654,X655,X656,X657)
| X656 = vapp(esk44_4(X654,X655,X656,X657),esk47_4(X654,X655,X656,X657))
| epred1_4(X657,X656,X655,X654)
| ~ epred2_4(X657,X656,X655,X654) )
& ( esk53_4(X654,X655,X656,X657) != esk56_4(X654,X655,X656,X657)
| esk49_4(X654,X655,X656,X657) = esk50_4(X654,X655,X656,X657)
| X656 = vapp(esk44_4(X654,X655,X656,X657),esk47_4(X654,X655,X656,X657))
| epred1_4(X657,X656,X655,X654)
| ~ epred2_4(X657,X656,X655,X654) )
& ( visFreeVar(esk56_4(X654,X655,X656,X657),esk54_4(X654,X655,X656,X657))
| esk49_4(X654,X655,X656,X657) = esk50_4(X654,X655,X656,X657)
| X656 = vapp(esk44_4(X654,X655,X656,X657),esk47_4(X654,X655,X656,X657))
| epred1_4(X657,X656,X655,X654)
| ~ epred2_4(X657,X656,X655,X654) )
& ( esk57_4(X654,X655,X656,X657) = vgensym(vapp(vapp(esk54_4(X654,X655,X656,X657),esk58_4(X654,X655,X656,X657)),vvar(esk53_4(X654,X655,X656,X657))))
| esk49_4(X654,X655,X656,X657) = esk50_4(X654,X655,X656,X657)
| X656 = vapp(esk44_4(X654,X655,X656,X657),esk47_4(X654,X655,X656,X657))
| epred1_4(X657,X656,X655,X654)
| ~ epred2_4(X657,X656,X655,X654) )
& ( X657 = vsubst(esk53_4(X654,X655,X656,X657),esk54_4(X654,X655,X656,X657),vabs(esk57_4(X654,X655,X656,X657),esk55_4(X654,X655,X656,X657),vsubst(esk56_4(X654,X655,X656,X657),vvar(esk57_4(X654,X655,X656,X657)),esk58_4(X654,X655,X656,X657))))
| esk49_4(X654,X655,X656,X657) = esk50_4(X654,X655,X656,X657)
| X656 = vapp(esk44_4(X654,X655,X656,X657),esk47_4(X654,X655,X656,X657))
| epred1_4(X657,X656,X655,X654)
| ~ epred2_4(X657,X656,X655,X654) )
& ( X654 = esk53_4(X654,X655,X656,X657)
| X657 = vabs(esk50_4(X654,X655,X656,X657),esk51_4(X654,X655,X656,X657),esk52_4(X654,X655,X656,X657))
| X656 = vapp(esk44_4(X654,X655,X656,X657),esk47_4(X654,X655,X656,X657))
| epred1_4(X657,X656,X655,X654)
| ~ epred2_4(X657,X656,X655,X654) )
& ( X655 = esk54_4(X654,X655,X656,X657)
| X657 = vabs(esk50_4(X654,X655,X656,X657),esk51_4(X654,X655,X656,X657),esk52_4(X654,X655,X656,X657))
| X656 = vapp(esk44_4(X654,X655,X656,X657),esk47_4(X654,X655,X656,X657))
| epred1_4(X657,X656,X655,X654)
| ~ epred2_4(X657,X656,X655,X654) )
& ( X656 = vabs(esk56_4(X654,X655,X656,X657),esk55_4(X654,X655,X656,X657),esk58_4(X654,X655,X656,X657))
| X657 = vabs(esk50_4(X654,X655,X656,X657),esk51_4(X654,X655,X656,X657),esk52_4(X654,X655,X656,X657))
| X656 = vapp(esk44_4(X654,X655,X656,X657),esk47_4(X654,X655,X656,X657))
| epred1_4(X657,X656,X655,X654)
| ~ epred2_4(X657,X656,X655,X654) )
& ( esk53_4(X654,X655,X656,X657) != esk56_4(X654,X655,X656,X657)
| X657 = vabs(esk50_4(X654,X655,X656,X657),esk51_4(X654,X655,X656,X657),esk52_4(X654,X655,X656,X657))
| X656 = vapp(esk44_4(X654,X655,X656,X657),esk47_4(X654,X655,X656,X657))
| epred1_4(X657,X656,X655,X654)
| ~ epred2_4(X657,X656,X655,X654) )
& ( visFreeVar(esk56_4(X654,X655,X656,X657),esk54_4(X654,X655,X656,X657))
| X657 = vabs(esk50_4(X654,X655,X656,X657),esk51_4(X654,X655,X656,X657),esk52_4(X654,X655,X656,X657))
| X656 = vapp(esk44_4(X654,X655,X656,X657),esk47_4(X654,X655,X656,X657))
| epred1_4(X657,X656,X655,X654)
| ~ epred2_4(X657,X656,X655,X654) )
& ( esk57_4(X654,X655,X656,X657) = vgensym(vapp(vapp(esk54_4(X654,X655,X656,X657),esk58_4(X654,X655,X656,X657)),vvar(esk53_4(X654,X655,X656,X657))))
| X657 = vabs(esk50_4(X654,X655,X656,X657),esk51_4(X654,X655,X656,X657),esk52_4(X654,X655,X656,X657))
| X656 = vapp(esk44_4(X654,X655,X656,X657),esk47_4(X654,X655,X656,X657))
| epred1_4(X657,X656,X655,X654)
| ~ epred2_4(X657,X656,X655,X654) )
& ( X657 = vsubst(esk53_4(X654,X655,X656,X657),esk54_4(X654,X655,X656,X657),vabs(esk57_4(X654,X655,X656,X657),esk55_4(X654,X655,X656,X657),vsubst(esk56_4(X654,X655,X656,X657),vvar(esk57_4(X654,X655,X656,X657)),esk58_4(X654,X655,X656,X657))))
| X657 = vabs(esk50_4(X654,X655,X656,X657),esk51_4(X654,X655,X656,X657),esk52_4(X654,X655,X656,X657))
| X656 = vapp(esk44_4(X654,X655,X656,X657),esk47_4(X654,X655,X656,X657))
| epred1_4(X657,X656,X655,X654)
| ~ epred2_4(X657,X656,X655,X654) )
& ( X654 = esk53_4(X654,X655,X656,X657)
| X654 = esk49_4(X654,X655,X656,X657)
| X657 = vapp(vsubst(esk45_4(X654,X655,X656,X657),esk46_4(X654,X655,X656,X657),esk44_4(X654,X655,X656,X657)),vsubst(esk45_4(X654,X655,X656,X657),esk46_4(X654,X655,X656,X657),esk47_4(X654,X655,X656,X657)))
| epred1_4(X657,X656,X655,X654)
| ~ epred2_4(X657,X656,X655,X654) )
& ( X655 = esk54_4(X654,X655,X656,X657)
| X654 = esk49_4(X654,X655,X656,X657)
| X657 = vapp(vsubst(esk45_4(X654,X655,X656,X657),esk46_4(X654,X655,X656,X657),esk44_4(X654,X655,X656,X657)),vsubst(esk45_4(X654,X655,X656,X657),esk46_4(X654,X655,X656,X657),esk47_4(X654,X655,X656,X657)))
| epred1_4(X657,X656,X655,X654)
| ~ epred2_4(X657,X656,X655,X654) )
& ( X656 = vabs(esk56_4(X654,X655,X656,X657),esk55_4(X654,X655,X656,X657),esk58_4(X654,X655,X656,X657))
| X654 = esk49_4(X654,X655,X656,X657)
| X657 = vapp(vsubst(esk45_4(X654,X655,X656,X657),esk46_4(X654,X655,X656,X657),esk44_4(X654,X655,X656,X657)),vsubst(esk45_4(X654,X655,X656,X657),esk46_4(X654,X655,X656,X657),esk47_4(X654,X655,X656,X657)))
| epred1_4(X657,X656,X655,X654)
| ~ epred2_4(X657,X656,X655,X654) )
& ( esk53_4(X654,X655,X656,X657) != esk56_4(X654,X655,X656,X657)
| X654 = esk49_4(X654,X655,X656,X657)
| X657 = vapp(vsubst(esk45_4(X654,X655,X656,X657),esk46_4(X654,X655,X656,X657),esk44_4(X654,X655,X656,X657)),vsubst(esk45_4(X654,X655,X656,X657),esk46_4(X654,X655,X656,X657),esk47_4(X654,X655,X656,X657)))
| epred1_4(X657,X656,X655,X654)
| ~ epred2_4(X657,X656,X655,X654) )
& ( visFreeVar(esk56_4(X654,X655,X656,X657),esk54_4(X654,X655,X656,X657))
| X654 = esk49_4(X654,X655,X656,X657)
| X657 = vapp(vsubst(esk45_4(X654,X655,X656,X657),esk46_4(X654,X655,X656,X657),esk44_4(X654,X655,X656,X657)),vsubst(esk45_4(X654,X655,X656,X657),esk46_4(X654,X655,X656,X657),esk47_4(X654,X655,X656,X657)))
| epred1_4(X657,X656,X655,X654)
| ~ epred2_4(X657,X656,X655,X654) )
& ( esk57_4(X654,X655,X656,X657) = vgensym(vapp(vapp(esk54_4(X654,X655,X656,X657),esk58_4(X654,X655,X656,X657)),vvar(esk53_4(X654,X655,X656,X657))))
| X654 = esk49_4(X654,X655,X656,X657)
| X657 = vapp(vsubst(esk45_4(X654,X655,X656,X657),esk46_4(X654,X655,X656,X657),esk44_4(X654,X655,X656,X657)),vsubst(esk45_4(X654,X655,X656,X657),esk46_4(X654,X655,X656,X657),esk47_4(X654,X655,X656,X657)))
| epred1_4(X657,X656,X655,X654)
| ~ epred2_4(X657,X656,X655,X654) )
& ( X657 = vsubst(esk53_4(X654,X655,X656,X657),esk54_4(X654,X655,X656,X657),vabs(esk57_4(X654,X655,X656,X657),esk55_4(X654,X655,X656,X657),vsubst(esk56_4(X654,X655,X656,X657),vvar(esk57_4(X654,X655,X656,X657)),esk58_4(X654,X655,X656,X657))))
| X654 = esk49_4(X654,X655,X656,X657)
| X657 = vapp(vsubst(esk45_4(X654,X655,X656,X657),esk46_4(X654,X655,X656,X657),esk44_4(X654,X655,X656,X657)),vsubst(esk45_4(X654,X655,X656,X657),esk46_4(X654,X655,X656,X657),esk47_4(X654,X655,X656,X657)))
| epred1_4(X657,X656,X655,X654)
| ~ epred2_4(X657,X656,X655,X654) )
& ( X654 = esk53_4(X654,X655,X656,X657)
| X655 = esk48_4(X654,X655,X656,X657)
| X657 = vapp(vsubst(esk45_4(X654,X655,X656,X657),esk46_4(X654,X655,X656,X657),esk44_4(X654,X655,X656,X657)),vsubst(esk45_4(X654,X655,X656,X657),esk46_4(X654,X655,X656,X657),esk47_4(X654,X655,X656,X657)))
| epred1_4(X657,X656,X655,X654)
| ~ epred2_4(X657,X656,X655,X654) )
& ( X655 = esk54_4(X654,X655,X656,X657)
| X655 = esk48_4(X654,X655,X656,X657)
| X657 = vapp(vsubst(esk45_4(X654,X655,X656,X657),esk46_4(X654,X655,X656,X657),esk44_4(X654,X655,X656,X657)),vsubst(esk45_4(X654,X655,X656,X657),esk46_4(X654,X655,X656,X657),esk47_4(X654,X655,X656,X657)))
| epred1_4(X657,X656,X655,X654)
| ~ epred2_4(X657,X656,X655,X654) )
& ( X656 = vabs(esk56_4(X654,X655,X656,X657),esk55_4(X654,X655,X656,X657),esk58_4(X654,X655,X656,X657))
| X655 = esk48_4(X654,X655,X656,X657)
| X657 = vapp(vsubst(esk45_4(X654,X655,X656,X657),esk46_4(X654,X655,X656,X657),esk44_4(X654,X655,X656,X657)),vsubst(esk45_4(X654,X655,X656,X657),esk46_4(X654,X655,X656,X657),esk47_4(X654,X655,X656,X657)))
| epred1_4(X657,X656,X655,X654)
| ~ epred2_4(X657,X656,X655,X654) )
& ( esk53_4(X654,X655,X656,X657) != esk56_4(X654,X655,X656,X657)
| X655 = esk48_4(X654,X655,X656,X657)
| X657 = vapp(vsubst(esk45_4(X654,X655,X656,X657),esk46_4(X654,X655,X656,X657),esk44_4(X654,X655,X656,X657)),vsubst(esk45_4(X654,X655,X656,X657),esk46_4(X654,X655,X656,X657),esk47_4(X654,X655,X656,X657)))
| epred1_4(X657,X656,X655,X654)
| ~ epred2_4(X657,X656,X655,X654) )
& ( visFreeVar(esk56_4(X654,X655,X656,X657),esk54_4(X654,X655,X656,X657))
| X655 = esk48_4(X654,X655,X656,X657)
| X657 = vapp(vsubst(esk45_4(X654,X655,X656,X657),esk46_4(X654,X655,X656,X657),esk44_4(X654,X655,X656,X657)),vsubst(esk45_4(X654,X655,X656,X657),esk46_4(X654,X655,X656,X657),esk47_4(X654,X655,X656,X657)))
| epred1_4(X657,X656,X655,X654)
| ~ epred2_4(X657,X656,X655,X654) )
& ( esk57_4(X654,X655,X656,X657) = vgensym(vapp(vapp(esk54_4(X654,X655,X656,X657),esk58_4(X654,X655,X656,X657)),vvar(esk53_4(X654,X655,X656,X657))))
| X655 = esk48_4(X654,X655,X656,X657)
| X657 = vapp(vsubst(esk45_4(X654,X655,X656,X657),esk46_4(X654,X655,X656,X657),esk44_4(X654,X655,X656,X657)),vsubst(esk45_4(X654,X655,X656,X657),esk46_4(X654,X655,X656,X657),esk47_4(X654,X655,X656,X657)))
| epred1_4(X657,X656,X655,X654)
| ~ epred2_4(X657,X656,X655,X654) )
& ( X657 = vsubst(esk53_4(X654,X655,X656,X657),esk54_4(X654,X655,X656,X657),vabs(esk57_4(X654,X655,X656,X657),esk55_4(X654,X655,X656,X657),vsubst(esk56_4(X654,X655,X656,X657),vvar(esk57_4(X654,X655,X656,X657)),esk58_4(X654,X655,X656,X657))))
| X655 = esk48_4(X654,X655,X656,X657)
| X657 = vapp(vsubst(esk45_4(X654,X655,X656,X657),esk46_4(X654,X655,X656,X657),esk44_4(X654,X655,X656,X657)),vsubst(esk45_4(X654,X655,X656,X657),esk46_4(X654,X655,X656,X657),esk47_4(X654,X655,X656,X657)))
| epred1_4(X657,X656,X655,X654)
| ~ epred2_4(X657,X656,X655,X654) )
& ( X654 = esk53_4(X654,X655,X656,X657)
| X656 = vabs(esk50_4(X654,X655,X656,X657),esk51_4(X654,X655,X656,X657),esk52_4(X654,X655,X656,X657))
| X657 = vapp(vsubst(esk45_4(X654,X655,X656,X657),esk46_4(X654,X655,X656,X657),esk44_4(X654,X655,X656,X657)),vsubst(esk45_4(X654,X655,X656,X657),esk46_4(X654,X655,X656,X657),esk47_4(X654,X655,X656,X657)))
| epred1_4(X657,X656,X655,X654)
| ~ epred2_4(X657,X656,X655,X654) )
& ( X655 = esk54_4(X654,X655,X656,X657)
| X656 = vabs(esk50_4(X654,X655,X656,X657),esk51_4(X654,X655,X656,X657),esk52_4(X654,X655,X656,X657))
| X657 = vapp(vsubst(esk45_4(X654,X655,X656,X657),esk46_4(X654,X655,X656,X657),esk44_4(X654,X655,X656,X657)),vsubst(esk45_4(X654,X655,X656,X657),esk46_4(X654,X655,X656,X657),esk47_4(X654,X655,X656,X657)))
| epred1_4(X657,X656,X655,X654)
| ~ epred2_4(X657,X656,X655,X654) )
& ( X656 = vabs(esk56_4(X654,X655,X656,X657),esk55_4(X654,X655,X656,X657),esk58_4(X654,X655,X656,X657))
| X656 = vabs(esk50_4(X654,X655,X656,X657),esk51_4(X654,X655,X656,X657),esk52_4(X654,X655,X656,X657))
| X657 = vapp(vsubst(esk45_4(X654,X655,X656,X657),esk46_4(X654,X655,X656,X657),esk44_4(X654,X655,X656,X657)),vsubst(esk45_4(X654,X655,X656,X657),esk46_4(X654,X655,X656,X657),esk47_4(X654,X655,X656,X657)))
| epred1_4(X657,X656,X655,X654)
| ~ epred2_4(X657,X656,X655,X654) )
& ( esk53_4(X654,X655,X656,X657) != esk56_4(X654,X655,X656,X657)
| X656 = vabs(esk50_4(X654,X655,X656,X657),esk51_4(X654,X655,X656,X657),esk52_4(X654,X655,X656,X657))
| X657 = vapp(vsubst(esk45_4(X654,X655,X656,X657),esk46_4(X654,X655,X656,X657),esk44_4(X654,X655,X656,X657)),vsubst(esk45_4(X654,X655,X656,X657),esk46_4(X654,X655,X656,X657),esk47_4(X654,X655,X656,X657)))
| epred1_4(X657,X656,X655,X654)
| ~ epred2_4(X657,X656,X655,X654) )
& ( visFreeVar(esk56_4(X654,X655,X656,X657),esk54_4(X654,X655,X656,X657))
| X656 = vabs(esk50_4(X654,X655,X656,X657),esk51_4(X654,X655,X656,X657),esk52_4(X654,X655,X656,X657))
| X657 = vapp(vsubst(esk45_4(X654,X655,X656,X657),esk46_4(X654,X655,X656,X657),esk44_4(X654,X655,X656,X657)),vsubst(esk45_4(X654,X655,X656,X657),esk46_4(X654,X655,X656,X657),esk47_4(X654,X655,X656,X657)))
| epred1_4(X657,X656,X655,X654)
| ~ epred2_4(X657,X656,X655,X654) )
& ( esk57_4(X654,X655,X656,X657) = vgensym(vapp(vapp(esk54_4(X654,X655,X656,X657),esk58_4(X654,X655,X656,X657)),vvar(esk53_4(X654,X655,X656,X657))))
| X656 = vabs(esk50_4(X654,X655,X656,X657),esk51_4(X654,X655,X656,X657),esk52_4(X654,X655,X656,X657))
| X657 = vapp(vsubst(esk45_4(X654,X655,X656,X657),esk46_4(X654,X655,X656,X657),esk44_4(X654,X655,X656,X657)),vsubst(esk45_4(X654,X655,X656,X657),esk46_4(X654,X655,X656,X657),esk47_4(X654,X655,X656,X657)))
| epred1_4(X657,X656,X655,X654)
| ~ epred2_4(X657,X656,X655,X654) )
& ( X657 = vsubst(esk53_4(X654,X655,X656,X657),esk54_4(X654,X655,X656,X657),vabs(esk57_4(X654,X655,X656,X657),esk55_4(X654,X655,X656,X657),vsubst(esk56_4(X654,X655,X656,X657),vvar(esk57_4(X654,X655,X656,X657)),esk58_4(X654,X655,X656,X657))))
| X656 = vabs(esk50_4(X654,X655,X656,X657),esk51_4(X654,X655,X656,X657),esk52_4(X654,X655,X656,X657))
| X657 = vapp(vsubst(esk45_4(X654,X655,X656,X657),esk46_4(X654,X655,X656,X657),esk44_4(X654,X655,X656,X657)),vsubst(esk45_4(X654,X655,X656,X657),esk46_4(X654,X655,X656,X657),esk47_4(X654,X655,X656,X657)))
| epred1_4(X657,X656,X655,X654)
| ~ epred2_4(X657,X656,X655,X654) )
& ( X654 = esk53_4(X654,X655,X656,X657)
| esk49_4(X654,X655,X656,X657) = esk50_4(X654,X655,X656,X657)
| X657 = vapp(vsubst(esk45_4(X654,X655,X656,X657),esk46_4(X654,X655,X656,X657),esk44_4(X654,X655,X656,X657)),vsubst(esk45_4(X654,X655,X656,X657),esk46_4(X654,X655,X656,X657),esk47_4(X654,X655,X656,X657)))
| epred1_4(X657,X656,X655,X654)
| ~ epred2_4(X657,X656,X655,X654) )
& ( X655 = esk54_4(X654,X655,X656,X657)
| esk49_4(X654,X655,X656,X657) = esk50_4(X654,X655,X656,X657)
| X657 = vapp(vsubst(esk45_4(X654,X655,X656,X657),esk46_4(X654,X655,X656,X657),esk44_4(X654,X655,X656,X657)),vsubst(esk45_4(X654,X655,X656,X657),esk46_4(X654,X655,X656,X657),esk47_4(X654,X655,X656,X657)))
| epred1_4(X657,X656,X655,X654)
| ~ epred2_4(X657,X656,X655,X654) )
& ( X656 = vabs(esk56_4(X654,X655,X656,X657),esk55_4(X654,X655,X656,X657),esk58_4(X654,X655,X656,X657))
| esk49_4(X654,X655,X656,X657) = esk50_4(X654,X655,X656,X657)
| X657 = vapp(vsubst(esk45_4(X654,X655,X656,X657),esk46_4(X654,X655,X656,X657),esk44_4(X654,X655,X656,X657)),vsubst(esk45_4(X654,X655,X656,X657),esk46_4(X654,X655,X656,X657),esk47_4(X654,X655,X656,X657)))
| epred1_4(X657,X656,X655,X654)
| ~ epred2_4(X657,X656,X655,X654) )
& ( esk53_4(X654,X655,X656,X657) != esk56_4(X654,X655,X656,X657)
| esk49_4(X654,X655,X656,X657) = esk50_4(X654,X655,X656,X657)
| X657 = vapp(vsubst(esk45_4(X654,X655,X656,X657),esk46_4(X654,X655,X656,X657),esk44_4(X654,X655,X656,X657)),vsubst(esk45_4(X654,X655,X656,X657),esk46_4(X654,X655,X656,X657),esk47_4(X654,X655,X656,X657)))
| epred1_4(X657,X656,X655,X654)
| ~ epred2_4(X657,X656,X655,X654) )
& ( visFreeVar(esk56_4(X654,X655,X656,X657),esk54_4(X654,X655,X656,X657))
| esk49_4(X654,X655,X656,X657) = esk50_4(X654,X655,X656,X657)
| X657 = vapp(vsubst(esk45_4(X654,X655,X656,X657),esk46_4(X654,X655,X656,X657),esk44_4(X654,X655,X656,X657)),vsubst(esk45_4(X654,X655,X656,X657),esk46_4(X654,X655,X656,X657),esk47_4(X654,X655,X656,X657)))
| epred1_4(X657,X656,X655,X654)
| ~ epred2_4(X657,X656,X655,X654) )
& ( esk57_4(X654,X655,X656,X657) = vgensym(vapp(vapp(esk54_4(X654,X655,X656,X657),esk58_4(X654,X655,X656,X657)),vvar(esk53_4(X654,X655,X656,X657))))
| esk49_4(X654,X655,X656,X657) = esk50_4(X654,X655,X656,X657)
| X657 = vapp(vsubst(esk45_4(X654,X655,X656,X657),esk46_4(X654,X655,X656,X657),esk44_4(X654,X655,X656,X657)),vsubst(esk45_4(X654,X655,X656,X657),esk46_4(X654,X655,X656,X657),esk47_4(X654,X655,X656,X657)))
| epred1_4(X657,X656,X655,X654)
| ~ epred2_4(X657,X656,X655,X654) )
& ( X657 = vsubst(esk53_4(X654,X655,X656,X657),esk54_4(X654,X655,X656,X657),vabs(esk57_4(X654,X655,X656,X657),esk55_4(X654,X655,X656,X657),vsubst(esk56_4(X654,X655,X656,X657),vvar(esk57_4(X654,X655,X656,X657)),esk58_4(X654,X655,X656,X657))))
| esk49_4(X654,X655,X656,X657) = esk50_4(X654,X655,X656,X657)
| X657 = vapp(vsubst(esk45_4(X654,X655,X656,X657),esk46_4(X654,X655,X656,X657),esk44_4(X654,X655,X656,X657)),vsubst(esk45_4(X654,X655,X656,X657),esk46_4(X654,X655,X656,X657),esk47_4(X654,X655,X656,X657)))
| epred1_4(X657,X656,X655,X654)
| ~ epred2_4(X657,X656,X655,X654) )
& ( X654 = esk53_4(X654,X655,X656,X657)
| X657 = vabs(esk50_4(X654,X655,X656,X657),esk51_4(X654,X655,X656,X657),esk52_4(X654,X655,X656,X657))
| X657 = vapp(vsubst(esk45_4(X654,X655,X656,X657),esk46_4(X654,X655,X656,X657),esk44_4(X654,X655,X656,X657)),vsubst(esk45_4(X654,X655,X656,X657),esk46_4(X654,X655,X656,X657),esk47_4(X654,X655,X656,X657)))
| epred1_4(X657,X656,X655,X654)
| ~ epred2_4(X657,X656,X655,X654) )
& ( X655 = esk54_4(X654,X655,X656,X657)
| X657 = vabs(esk50_4(X654,X655,X656,X657),esk51_4(X654,X655,X656,X657),esk52_4(X654,X655,X656,X657))
| X657 = vapp(vsubst(esk45_4(X654,X655,X656,X657),esk46_4(X654,X655,X656,X657),esk44_4(X654,X655,X656,X657)),vsubst(esk45_4(X654,X655,X656,X657),esk46_4(X654,X655,X656,X657),esk47_4(X654,X655,X656,X657)))
| epred1_4(X657,X656,X655,X654)
| ~ epred2_4(X657,X656,X655,X654) )
& ( X656 = vabs(esk56_4(X654,X655,X656,X657),esk55_4(X654,X655,X656,X657),esk58_4(X654,X655,X656,X657))
| X657 = vabs(esk50_4(X654,X655,X656,X657),esk51_4(X654,X655,X656,X657),esk52_4(X654,X655,X656,X657))
| X657 = vapp(vsubst(esk45_4(X654,X655,X656,X657),esk46_4(X654,X655,X656,X657),esk44_4(X654,X655,X656,X657)),vsubst(esk45_4(X654,X655,X656,X657),esk46_4(X654,X655,X656,X657),esk47_4(X654,X655,X656,X657)))
| epred1_4(X657,X656,X655,X654)
| ~ epred2_4(X657,X656,X655,X654) )
& ( esk53_4(X654,X655,X656,X657) != esk56_4(X654,X655,X656,X657)
| X657 = vabs(esk50_4(X654,X655,X656,X657),esk51_4(X654,X655,X656,X657),esk52_4(X654,X655,X656,X657))
| X657 = vapp(vsubst(esk45_4(X654,X655,X656,X657),esk46_4(X654,X655,X656,X657),esk44_4(X654,X655,X656,X657)),vsubst(esk45_4(X654,X655,X656,X657),esk46_4(X654,X655,X656,X657),esk47_4(X654,X655,X656,X657)))
| epred1_4(X657,X656,X655,X654)
| ~ epred2_4(X657,X656,X655,X654) )
& ( visFreeVar(esk56_4(X654,X655,X656,X657),esk54_4(X654,X655,X656,X657))
| X657 = vabs(esk50_4(X654,X655,X656,X657),esk51_4(X654,X655,X656,X657),esk52_4(X654,X655,X656,X657))
| X657 = vapp(vsubst(esk45_4(X654,X655,X656,X657),esk46_4(X654,X655,X656,X657),esk44_4(X654,X655,X656,X657)),vsubst(esk45_4(X654,X655,X656,X657),esk46_4(X654,X655,X656,X657),esk47_4(X654,X655,X656,X657)))
| epred1_4(X657,X656,X655,X654)
| ~ epred2_4(X657,X656,X655,X654) )
& ( esk57_4(X654,X655,X656,X657) = vgensym(vapp(vapp(esk54_4(X654,X655,X656,X657),esk58_4(X654,X655,X656,X657)),vvar(esk53_4(X654,X655,X656,X657))))
| X657 = vabs(esk50_4(X654,X655,X656,X657),esk51_4(X654,X655,X656,X657),esk52_4(X654,X655,X656,X657))
| X657 = vapp(vsubst(esk45_4(X654,X655,X656,X657),esk46_4(X654,X655,X656,X657),esk44_4(X654,X655,X656,X657)),vsubst(esk45_4(X654,X655,X656,X657),esk46_4(X654,X655,X656,X657),esk47_4(X654,X655,X656,X657)))
| epred1_4(X657,X656,X655,X654)
| ~ epred2_4(X657,X656,X655,X654) )
& ( X657 = vsubst(esk53_4(X654,X655,X656,X657),esk54_4(X654,X655,X656,X657),vabs(esk57_4(X654,X655,X656,X657),esk55_4(X654,X655,X656,X657),vsubst(esk56_4(X654,X655,X656,X657),vvar(esk57_4(X654,X655,X656,X657)),esk58_4(X654,X655,X656,X657))))
| X657 = vabs(esk50_4(X654,X655,X656,X657),esk51_4(X654,X655,X656,X657),esk52_4(X654,X655,X656,X657))
| X657 = vapp(vsubst(esk45_4(X654,X655,X656,X657),esk46_4(X654,X655,X656,X657),esk44_4(X654,X655,X656,X657)),vsubst(esk45_4(X654,X655,X656,X657),esk46_4(X654,X655,X656,X657),esk47_4(X654,X655,X656,X657)))
| epred1_4(X657,X656,X655,X654)
| ~ epred2_4(X657,X656,X655,X654) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_60])])])]) ).
fof(i_0_79,plain,
! [X572,X573,X574,X575,X576] :
( X573 != vapp(X572,X576)
| X572 = vabs(esk15_5(X572,X573,X574,X575,X576),esk16_5(X572,X573,X574,X575,X576),esk17_5(X572,X573,X574,X575,X576))
| X575 != vreduce(X572)
| ~ visSomeExp(X575)
| X574 != vreduce(X573)
| X574 = vsomeExp(vapp(vgetSomeExp(X575),X576)) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[reduce5])])]) ).
fof(i_0_80,plain,
! [X525,X526,X527,X528] :
( ( X525 = esk12_4(X525,X526,X527,X528)
| epred2_4(X528,X527,X526,X525)
| vsubst(X525,X526,X527) != X528 )
& ( X526 = esk13_4(X525,X526,X527,X528)
| epred2_4(X528,X527,X526,X525)
| vsubst(X525,X526,X527) != X528 )
& ( X527 = vabs(esk10_4(X525,X526,X527,X528),esk11_4(X525,X526,X527,X528),esk14_4(X525,X526,X527,X528))
| epred2_4(X528,X527,X526,X525)
| vsubst(X525,X526,X527) != X528 )
& ( esk12_4(X525,X526,X527,X528) != esk10_4(X525,X526,X527,X528)
| epred2_4(X528,X527,X526,X525)
| vsubst(X525,X526,X527) != X528 )
& ( ~ visFreeVar(esk10_4(X525,X526,X527,X528),esk13_4(X525,X526,X527,X528))
| epred2_4(X528,X527,X526,X525)
| vsubst(X525,X526,X527) != X528 )
& ( X528 = vabs(esk10_4(X525,X526,X527,X528),esk11_4(X525,X526,X527,X528),vsubst(esk12_4(X525,X526,X527,X528),esk13_4(X525,X526,X527,X528),esk14_4(X525,X526,X527,X528)))
| epred2_4(X528,X527,X526,X525)
| vsubst(X525,X526,X527) != X528 ) ),
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,
! [X644,X645,X646,X647] :
( ( X644 = esk42_4(X644,X645,X646,X647)
| X644 = esk38_4(X644,X645,X646,X647)
| ~ epred1_4(X647,X646,X645,X644) )
& ( X645 = esk41_4(X644,X645,X646,X647)
| X644 = esk38_4(X644,X645,X646,X647)
| ~ epred1_4(X647,X646,X645,X644) )
& ( X646 = vvar(esk43_4(X644,X645,X646,X647))
| X644 = esk38_4(X644,X645,X646,X647)
| ~ epred1_4(X647,X646,X645,X644) )
& ( esk42_4(X644,X645,X646,X647) != esk43_4(X644,X645,X646,X647)
| X644 = esk38_4(X644,X645,X646,X647)
| ~ epred1_4(X647,X646,X645,X644) )
& ( X647 = vvar(esk43_4(X644,X645,X646,X647))
| X644 = esk38_4(X644,X645,X646,X647)
| ~ epred1_4(X647,X646,X645,X644) )
& ( X644 = esk42_4(X644,X645,X646,X647)
| X645 = esk40_4(X644,X645,X646,X647)
| ~ epred1_4(X647,X646,X645,X644) )
& ( X645 = esk41_4(X644,X645,X646,X647)
| X645 = esk40_4(X644,X645,X646,X647)
| ~ epred1_4(X647,X646,X645,X644) )
& ( X646 = vvar(esk43_4(X644,X645,X646,X647))
| X645 = esk40_4(X644,X645,X646,X647)
| ~ epred1_4(X647,X646,X645,X644) )
& ( esk42_4(X644,X645,X646,X647) != esk43_4(X644,X645,X646,X647)
| X645 = esk40_4(X644,X645,X646,X647)
| ~ epred1_4(X647,X646,X645,X644) )
& ( X647 = vvar(esk43_4(X644,X645,X646,X647))
| X645 = esk40_4(X644,X645,X646,X647)
| ~ epred1_4(X647,X646,X645,X644) )
& ( X644 = esk42_4(X644,X645,X646,X647)
| X646 = vvar(esk39_4(X644,X645,X646,X647))
| ~ epred1_4(X647,X646,X645,X644) )
& ( X645 = esk41_4(X644,X645,X646,X647)
| X646 = vvar(esk39_4(X644,X645,X646,X647))
| ~ epred1_4(X647,X646,X645,X644) )
& ( X646 = vvar(esk43_4(X644,X645,X646,X647))
| X646 = vvar(esk39_4(X644,X645,X646,X647))
| ~ epred1_4(X647,X646,X645,X644) )
& ( esk42_4(X644,X645,X646,X647) != esk43_4(X644,X645,X646,X647)
| X646 = vvar(esk39_4(X644,X645,X646,X647))
| ~ epred1_4(X647,X646,X645,X644) )
& ( X647 = vvar(esk43_4(X644,X645,X646,X647))
| X646 = vvar(esk39_4(X644,X645,X646,X647))
| ~ epred1_4(X647,X646,X645,X644) )
& ( X644 = esk42_4(X644,X645,X646,X647)
| esk38_4(X644,X645,X646,X647) = esk39_4(X644,X645,X646,X647)
| ~ epred1_4(X647,X646,X645,X644) )
& ( X645 = esk41_4(X644,X645,X646,X647)
| esk38_4(X644,X645,X646,X647) = esk39_4(X644,X645,X646,X647)
| ~ epred1_4(X647,X646,X645,X644) )
& ( X646 = vvar(esk43_4(X644,X645,X646,X647))
| esk38_4(X644,X645,X646,X647) = esk39_4(X644,X645,X646,X647)
| ~ epred1_4(X647,X646,X645,X644) )
& ( esk42_4(X644,X645,X646,X647) != esk43_4(X644,X645,X646,X647)
| esk38_4(X644,X645,X646,X647) = esk39_4(X644,X645,X646,X647)
| ~ epred1_4(X647,X646,X645,X644) )
& ( X647 = vvar(esk43_4(X644,X645,X646,X647))
| esk38_4(X644,X645,X646,X647) = esk39_4(X644,X645,X646,X647)
| ~ epred1_4(X647,X646,X645,X644) )
& ( X644 = esk42_4(X644,X645,X646,X647)
| X647 = esk40_4(X644,X645,X646,X647)
| ~ epred1_4(X647,X646,X645,X644) )
& ( X645 = esk41_4(X644,X645,X646,X647)
| X647 = esk40_4(X644,X645,X646,X647)
| ~ epred1_4(X647,X646,X645,X644) )
& ( X646 = vvar(esk43_4(X644,X645,X646,X647))
| X647 = esk40_4(X644,X645,X646,X647)
| ~ epred1_4(X647,X646,X645,X644) )
& ( esk42_4(X644,X645,X646,X647) != esk43_4(X644,X645,X646,X647)
| X647 = esk40_4(X644,X645,X646,X647)
| ~ epred1_4(X647,X646,X645,X644) )
& ( X647 = vvar(esk43_4(X644,X645,X646,X647))
| X647 = esk40_4(X644,X645,X646,X647)
| ~ epred1_4(X647,X646,X645,X644) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_62])])])]) ).
fof(i_0_82,plain,
! [X580,X581,X582,X583,X587] :
( X583 != vapp(X581,X580)
| X581 = vabs(esk18_4(X580,X581,X582,X583),esk19_4(X580,X581,X582,X583),esk20_4(X580,X581,X582,X583))
| X582 != vreduce(X581)
| visSomeExp(X582)
| X587 != vreduce(X583)
| X587 = vnoExp ),
inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_63])])])])]) ).
fof(i_0_83,plain,
! [X613,X614,X615] :
( ( X613 = vapp(esk29_3(X613,X614,X615),esk30_3(X613,X614,X615))
| X613 = vabs(esk25_3(X613,X614,X615),esk27_3(X613,X614,X615),esk26_3(X613,X614,X615))
| X613 = vvar(esk24_3(X613,X614,X615))
| ~ vtcheck(X615,X613,X614) )
& ( vtcheck(X615,esk29_3(X613,X614,X615),varrow(esk31_3(X613,X614,X615),X614))
| X613 = vabs(esk25_3(X613,X614,X615),esk27_3(X613,X614,X615),esk26_3(X613,X614,X615))
| X613 = vvar(esk24_3(X613,X614,X615))
| ~ vtcheck(X615,X613,X614) )
& ( vtcheck(X615,esk30_3(X613,X614,X615),esk31_3(X613,X614,X615))
| X613 = vabs(esk25_3(X613,X614,X615),esk27_3(X613,X614,X615),esk26_3(X613,X614,X615))
| X613 = vvar(esk24_3(X613,X614,X615))
| ~ vtcheck(X615,X613,X614) )
& ( X613 = vapp(esk29_3(X613,X614,X615),esk30_3(X613,X614,X615))
| X614 = varrow(esk27_3(X613,X614,X615),esk28_3(X613,X614,X615))
| X613 = vvar(esk24_3(X613,X614,X615))
| ~ vtcheck(X615,X613,X614) )
& ( vtcheck(X615,esk29_3(X613,X614,X615),varrow(esk31_3(X613,X614,X615),X614))
| X614 = varrow(esk27_3(X613,X614,X615),esk28_3(X613,X614,X615))
| X613 = vvar(esk24_3(X613,X614,X615))
| ~ vtcheck(X615,X613,X614) )
& ( vtcheck(X615,esk30_3(X613,X614,X615),esk31_3(X613,X614,X615))
| X614 = varrow(esk27_3(X613,X614,X615),esk28_3(X613,X614,X615))
| X613 = vvar(esk24_3(X613,X614,X615))
| ~ vtcheck(X615,X613,X614) )
& ( X613 = vapp(esk29_3(X613,X614,X615),esk30_3(X613,X614,X615))
| vtcheck(vbind(esk25_3(X613,X614,X615),esk27_3(X613,X614,X615),X615),esk26_3(X613,X614,X615),esk28_3(X613,X614,X615))
| X613 = vvar(esk24_3(X613,X614,X615))
| ~ vtcheck(X615,X613,X614) )
& ( vtcheck(X615,esk29_3(X613,X614,X615),varrow(esk31_3(X613,X614,X615),X614))
| vtcheck(vbind(esk25_3(X613,X614,X615),esk27_3(X613,X614,X615),X615),esk26_3(X613,X614,X615),esk28_3(X613,X614,X615))
| X613 = vvar(esk24_3(X613,X614,X615))
| ~ vtcheck(X615,X613,X614) )
& ( vtcheck(X615,esk30_3(X613,X614,X615),esk31_3(X613,X614,X615))
| vtcheck(vbind(esk25_3(X613,X614,X615),esk27_3(X613,X614,X615),X615),esk26_3(X613,X614,X615),esk28_3(X613,X614,X615))
| X613 = vvar(esk24_3(X613,X614,X615))
| ~ vtcheck(X615,X613,X614) )
& ( X613 = vapp(esk29_3(X613,X614,X615),esk30_3(X613,X614,X615))
| X613 = vabs(esk25_3(X613,X614,X615),esk27_3(X613,X614,X615),esk26_3(X613,X614,X615))
| vlookup(esk24_3(X613,X614,X615),X615) = vsomeType(X614)
| ~ vtcheck(X615,X613,X614) )
& ( vtcheck(X615,esk29_3(X613,X614,X615),varrow(esk31_3(X613,X614,X615),X614))
| X613 = vabs(esk25_3(X613,X614,X615),esk27_3(X613,X614,X615),esk26_3(X613,X614,X615))
| vlookup(esk24_3(X613,X614,X615),X615) = vsomeType(X614)
| ~ vtcheck(X615,X613,X614) )
& ( vtcheck(X615,esk30_3(X613,X614,X615),esk31_3(X613,X614,X615))
| X613 = vabs(esk25_3(X613,X614,X615),esk27_3(X613,X614,X615),esk26_3(X613,X614,X615))
| vlookup(esk24_3(X613,X614,X615),X615) = vsomeType(X614)
| ~ vtcheck(X615,X613,X614) )
& ( X613 = vapp(esk29_3(X613,X614,X615),esk30_3(X613,X614,X615))
| X614 = varrow(esk27_3(X613,X614,X615),esk28_3(X613,X614,X615))
| vlookup(esk24_3(X613,X614,X615),X615) = vsomeType(X614)
| ~ vtcheck(X615,X613,X614) )
& ( vtcheck(X615,esk29_3(X613,X614,X615),varrow(esk31_3(X613,X614,X615),X614))
| X614 = varrow(esk27_3(X613,X614,X615),esk28_3(X613,X614,X615))
| vlookup(esk24_3(X613,X614,X615),X615) = vsomeType(X614)
| ~ vtcheck(X615,X613,X614) )
& ( vtcheck(X615,esk30_3(X613,X614,X615),esk31_3(X613,X614,X615))
| X614 = varrow(esk27_3(X613,X614,X615),esk28_3(X613,X614,X615))
| vlookup(esk24_3(X613,X614,X615),X615) = vsomeType(X614)
| ~ vtcheck(X615,X613,X614) )
& ( X613 = vapp(esk29_3(X613,X614,X615),esk30_3(X613,X614,X615))
| vtcheck(vbind(esk25_3(X613,X614,X615),esk27_3(X613,X614,X615),X615),esk26_3(X613,X614,X615),esk28_3(X613,X614,X615))
| vlookup(esk24_3(X613,X614,X615),X615) = vsomeType(X614)
| ~ vtcheck(X615,X613,X614) )
& ( vtcheck(X615,esk29_3(X613,X614,X615),varrow(esk31_3(X613,X614,X615),X614))
| vtcheck(vbind(esk25_3(X613,X614,X615),esk27_3(X613,X614,X615),X615),esk26_3(X613,X614,X615),esk28_3(X613,X614,X615))
| vlookup(esk24_3(X613,X614,X615),X615) = vsomeType(X614)
| ~ vtcheck(X615,X613,X614) )
& ( vtcheck(X615,esk30_3(X613,X614,X615),esk31_3(X613,X614,X615))
| vtcheck(vbind(esk25_3(X613,X614,X615),esk27_3(X613,X614,X615),X615),esk26_3(X613,X614,X615),esk28_3(X613,X614,X615))
| vlookup(esk24_3(X613,X614,X615),X615) = vsomeType(X614)
| ~ vtcheck(X615,X613,X614) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['T-inv'])])])]) ).
cnf(i_0_84,plain,
( X1 = vapp(vabs(esk70_2(X1,X2),esk68_2(X1,X2),esk72_2(X1,X2)),esk71_2(X1,X2))
| X2 = vsomeExp(vapp(vabs(esk64_2(X1,X2),esk65_2(X1,X2),esk66_2(X1,X2)),vgetSomeExp(esk67_2(X1,X2))))
| X2 = vnoExp
| X2 = vnoExp
| ~ epred3_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_64]) ).
fof(i_0_85,plain,
! [X466,X467,X468,X469,X470,X471,X472] :
( X468 = X466
| ~ vtcheck(vbind(X468,X469,vbind(X466,X467,X470)),X471,X472)
| vtcheck(vbind(X466,X467,vbind(X468,X469,X470)),X471,X472) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['T-Context-Swap'])]) ).
cnf(i_0_86,plain,
( X1 = vsomeExp(vsubst(esk70_2(X2,X1),esk71_2(X2,X1),esk72_2(X2,X1)))
| X1 = vsomeExp(vapp(vabs(esk64_2(X2,X1),esk65_2(X2,X1),esk66_2(X2,X1)),vgetSomeExp(esk67_2(X2,X1))))
| X1 = vnoExp
| X1 = vnoExp
| ~ epred3_2(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_64]) ).
fof(i_0_87,plain,
! [X447,X448,X449] :
( ( X447 = esk8_3(X447,X448,X449)
| X447 = esk3_3(X447,X448,X449)
| X447 = esk1_3(X447,X448,X449)
| vlookup(X447,X448) != X449 )
& ( X448 = vbind(esk7_3(X447,X448,X449),esk6_3(X447,X448,X449),esk9_3(X447,X448,X449))
| X447 = esk3_3(X447,X448,X449)
| X447 = esk1_3(X447,X448,X449)
| vlookup(X447,X448) != X449 )
& ( esk8_3(X447,X448,X449) != esk7_3(X447,X448,X449)
| X447 = esk3_3(X447,X448,X449)
| X447 = esk1_3(X447,X448,X449)
| vlookup(X447,X448) != X449 )
& ( X449 = vlookup(esk8_3(X447,X448,X449),esk9_3(X447,X448,X449))
| X447 = esk3_3(X447,X448,X449)
| X447 = esk1_3(X447,X448,X449)
| vlookup(X447,X448) != X449 )
& ( X447 = esk8_3(X447,X448,X449)
| X448 = vbind(esk4_3(X447,X448,X449),esk5_3(X447,X448,X449),esk2_3(X447,X448,X449))
| X447 = esk1_3(X447,X448,X449)
| vlookup(X447,X448) != X449 )
& ( X448 = vbind(esk7_3(X447,X448,X449),esk6_3(X447,X448,X449),esk9_3(X447,X448,X449))
| X448 = vbind(esk4_3(X447,X448,X449),esk5_3(X447,X448,X449),esk2_3(X447,X448,X449))
| X447 = esk1_3(X447,X448,X449)
| vlookup(X447,X448) != X449 )
& ( esk8_3(X447,X448,X449) != esk7_3(X447,X448,X449)
| X448 = vbind(esk4_3(X447,X448,X449),esk5_3(X447,X448,X449),esk2_3(X447,X448,X449))
| X447 = esk1_3(X447,X448,X449)
| vlookup(X447,X448) != X449 )
& ( X449 = vlookup(esk8_3(X447,X448,X449),esk9_3(X447,X448,X449))
| X448 = vbind(esk4_3(X447,X448,X449),esk5_3(X447,X448,X449),esk2_3(X447,X448,X449))
| X447 = esk1_3(X447,X448,X449)
| vlookup(X447,X448) != X449 )
& ( X447 = esk8_3(X447,X448,X449)
| esk3_3(X447,X448,X449) = esk4_3(X447,X448,X449)
| X447 = esk1_3(X447,X448,X449)
| vlookup(X447,X448) != X449 )
& ( X448 = vbind(esk7_3(X447,X448,X449),esk6_3(X447,X448,X449),esk9_3(X447,X448,X449))
| esk3_3(X447,X448,X449) = esk4_3(X447,X448,X449)
| X447 = esk1_3(X447,X448,X449)
| vlookup(X447,X448) != X449 )
& ( esk8_3(X447,X448,X449) != esk7_3(X447,X448,X449)
| esk3_3(X447,X448,X449) = esk4_3(X447,X448,X449)
| X447 = esk1_3(X447,X448,X449)
| vlookup(X447,X448) != X449 )
& ( X449 = vlookup(esk8_3(X447,X448,X449),esk9_3(X447,X448,X449))
| esk3_3(X447,X448,X449) = esk4_3(X447,X448,X449)
| X447 = esk1_3(X447,X448,X449)
| vlookup(X447,X448) != X449 )
& ( X447 = esk8_3(X447,X448,X449)
| X449 = vsomeType(esk5_3(X447,X448,X449))
| X447 = esk1_3(X447,X448,X449)
| vlookup(X447,X448) != X449 )
& ( X448 = vbind(esk7_3(X447,X448,X449),esk6_3(X447,X448,X449),esk9_3(X447,X448,X449))
| X449 = vsomeType(esk5_3(X447,X448,X449))
| X447 = esk1_3(X447,X448,X449)
| vlookup(X447,X448) != X449 )
& ( esk8_3(X447,X448,X449) != esk7_3(X447,X448,X449)
| X449 = vsomeType(esk5_3(X447,X448,X449))
| X447 = esk1_3(X447,X448,X449)
| vlookup(X447,X448) != X449 )
& ( X449 = vlookup(esk8_3(X447,X448,X449),esk9_3(X447,X448,X449))
| X449 = vsomeType(esk5_3(X447,X448,X449))
| X447 = esk1_3(X447,X448,X449)
| vlookup(X447,X448) != X449 )
& ( X447 = esk8_3(X447,X448,X449)
| X447 = esk3_3(X447,X448,X449)
| X448 = vempty
| vlookup(X447,X448) != X449 )
& ( X448 = vbind(esk7_3(X447,X448,X449),esk6_3(X447,X448,X449),esk9_3(X447,X448,X449))
| X447 = esk3_3(X447,X448,X449)
| X448 = vempty
| vlookup(X447,X448) != X449 )
& ( esk8_3(X447,X448,X449) != esk7_3(X447,X448,X449)
| X447 = esk3_3(X447,X448,X449)
| X448 = vempty
| vlookup(X447,X448) != X449 )
& ( X449 = vlookup(esk8_3(X447,X448,X449),esk9_3(X447,X448,X449))
| X447 = esk3_3(X447,X448,X449)
| X448 = vempty
| vlookup(X447,X448) != X449 )
& ( X447 = esk8_3(X447,X448,X449)
| X448 = vbind(esk4_3(X447,X448,X449),esk5_3(X447,X448,X449),esk2_3(X447,X448,X449))
| X448 = vempty
| vlookup(X447,X448) != X449 )
& ( X448 = vbind(esk7_3(X447,X448,X449),esk6_3(X447,X448,X449),esk9_3(X447,X448,X449))
| X448 = vbind(esk4_3(X447,X448,X449),esk5_3(X447,X448,X449),esk2_3(X447,X448,X449))
| X448 = vempty
| vlookup(X447,X448) != X449 )
& ( esk8_3(X447,X448,X449) != esk7_3(X447,X448,X449)
| X448 = vbind(esk4_3(X447,X448,X449),esk5_3(X447,X448,X449),esk2_3(X447,X448,X449))
| X448 = vempty
| vlookup(X447,X448) != X449 )
& ( X449 = vlookup(esk8_3(X447,X448,X449),esk9_3(X447,X448,X449))
| X448 = vbind(esk4_3(X447,X448,X449),esk5_3(X447,X448,X449),esk2_3(X447,X448,X449))
| X448 = vempty
| vlookup(X447,X448) != X449 )
& ( X447 = esk8_3(X447,X448,X449)
| esk3_3(X447,X448,X449) = esk4_3(X447,X448,X449)
| X448 = vempty
| vlookup(X447,X448) != X449 )
& ( X448 = vbind(esk7_3(X447,X448,X449),esk6_3(X447,X448,X449),esk9_3(X447,X448,X449))
| esk3_3(X447,X448,X449) = esk4_3(X447,X448,X449)
| X448 = vempty
| vlookup(X447,X448) != X449 )
& ( esk8_3(X447,X448,X449) != esk7_3(X447,X448,X449)
| esk3_3(X447,X448,X449) = esk4_3(X447,X448,X449)
| X448 = vempty
| vlookup(X447,X448) != X449 )
& ( X449 = vlookup(esk8_3(X447,X448,X449),esk9_3(X447,X448,X449))
| esk3_3(X447,X448,X449) = esk4_3(X447,X448,X449)
| X448 = vempty
| vlookup(X447,X448) != X449 )
& ( X447 = esk8_3(X447,X448,X449)
| X449 = vsomeType(esk5_3(X447,X448,X449))
| X448 = vempty
| vlookup(X447,X448) != X449 )
& ( X448 = vbind(esk7_3(X447,X448,X449),esk6_3(X447,X448,X449),esk9_3(X447,X448,X449))
| X449 = vsomeType(esk5_3(X447,X448,X449))
| X448 = vempty
| vlookup(X447,X448) != X449 )
& ( esk8_3(X447,X448,X449) != esk7_3(X447,X448,X449)
| X449 = vsomeType(esk5_3(X447,X448,X449))
| X448 = vempty
| vlookup(X447,X448) != X449 )
& ( X449 = vlookup(esk8_3(X447,X448,X449),esk9_3(X447,X448,X449))
| X449 = vsomeType(esk5_3(X447,X448,X449))
| X448 = vempty
| vlookup(X447,X448) != X449 )
& ( X447 = esk8_3(X447,X448,X449)
| X447 = esk3_3(X447,X448,X449)
| X449 = vnoType
| vlookup(X447,X448) != X449 )
& ( X448 = vbind(esk7_3(X447,X448,X449),esk6_3(X447,X448,X449),esk9_3(X447,X448,X449))
| X447 = esk3_3(X447,X448,X449)
| X449 = vnoType
| vlookup(X447,X448) != X449 )
& ( esk8_3(X447,X448,X449) != esk7_3(X447,X448,X449)
| X447 = esk3_3(X447,X448,X449)
| X449 = vnoType
| vlookup(X447,X448) != X449 )
& ( X449 = vlookup(esk8_3(X447,X448,X449),esk9_3(X447,X448,X449))
| X447 = esk3_3(X447,X448,X449)
| X449 = vnoType
| vlookup(X447,X448) != X449 )
& ( X447 = esk8_3(X447,X448,X449)
| X448 = vbind(esk4_3(X447,X448,X449),esk5_3(X447,X448,X449),esk2_3(X447,X448,X449))
| X449 = vnoType
| vlookup(X447,X448) != X449 )
& ( X448 = vbind(esk7_3(X447,X448,X449),esk6_3(X447,X448,X449),esk9_3(X447,X448,X449))
| X448 = vbind(esk4_3(X447,X448,X449),esk5_3(X447,X448,X449),esk2_3(X447,X448,X449))
| X449 = vnoType
| vlookup(X447,X448) != X449 )
& ( esk8_3(X447,X448,X449) != esk7_3(X447,X448,X449)
| X448 = vbind(esk4_3(X447,X448,X449),esk5_3(X447,X448,X449),esk2_3(X447,X448,X449))
| X449 = vnoType
| vlookup(X447,X448) != X449 )
& ( X449 = vlookup(esk8_3(X447,X448,X449),esk9_3(X447,X448,X449))
| X448 = vbind(esk4_3(X447,X448,X449),esk5_3(X447,X448,X449),esk2_3(X447,X448,X449))
| X449 = vnoType
| vlookup(X447,X448) != X449 )
& ( X447 = esk8_3(X447,X448,X449)
| esk3_3(X447,X448,X449) = esk4_3(X447,X448,X449)
| X449 = vnoType
| vlookup(X447,X448) != X449 )
& ( X448 = vbind(esk7_3(X447,X448,X449),esk6_3(X447,X448,X449),esk9_3(X447,X448,X449))
| esk3_3(X447,X448,X449) = esk4_3(X447,X448,X449)
| X449 = vnoType
| vlookup(X447,X448) != X449 )
& ( esk8_3(X447,X448,X449) != esk7_3(X447,X448,X449)
| esk3_3(X447,X448,X449) = esk4_3(X447,X448,X449)
| X449 = vnoType
| vlookup(X447,X448) != X449 )
& ( X449 = vlookup(esk8_3(X447,X448,X449),esk9_3(X447,X448,X449))
| esk3_3(X447,X448,X449) = esk4_3(X447,X448,X449)
| X449 = vnoType
| vlookup(X447,X448) != X449 )
& ( X447 = esk8_3(X447,X448,X449)
| X449 = vsomeType(esk5_3(X447,X448,X449))
| X449 = vnoType
| vlookup(X447,X448) != X449 )
& ( X448 = vbind(esk7_3(X447,X448,X449),esk6_3(X447,X448,X449),esk9_3(X447,X448,X449))
| X449 = vsomeType(esk5_3(X447,X448,X449))
| X449 = vnoType
| vlookup(X447,X448) != X449 )
& ( esk8_3(X447,X448,X449) != esk7_3(X447,X448,X449)
| X449 = vsomeType(esk5_3(X447,X448,X449))
| X449 = vnoType
| vlookup(X447,X448) != X449 )
& ( X449 = vlookup(esk8_3(X447,X448,X449),esk9_3(X447,X448,X449))
| X449 = vsomeType(esk5_3(X447,X448,X449))
| X449 = vnoType
| vlookup(X447,X448) != X449 ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],['lookup-INV'])])])])]) ).
fof(i_0_88,plain,
! [X506,X507,X508,X509,X510,X511,X512,X513,X514,X515] :
( X506 != X510
| X507 != X511
| X508 != vabs(X513,X512,X515)
| X510 = X513
| ~ visFreeVar(X513,X511)
| X514 != vgensym(vapp(vapp(X511,X515),vvar(X510)))
| X509 != vsubst(X506,X507,X508)
| X509 = vsubst(X510,X511,vabs(X514,X512,vsubst(X513,vvar(X514),X515))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[subst4])]) ).
fof(i_0_89,plain,
! [X459,X460,X461,X462,X463,X464,X465] :
( X461 != X459
| ~ vtcheck(vbind(X461,X462,vbind(X459,X460,X463)),X464,X465)
| vtcheck(vbind(X461,X462,X463),X464,X465) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['T-Context-Duplicate'])]) ).
cnf(i_0_90,plain,
( X2 = vsomeExp(vapp(vabs(esk64_2(X1,X2),esk65_2(X1,X2),esk66_2(X1,X2)),vgetSomeExp(esk67_2(X1,X2))))
| X2 = vnoExp
| X2 = vnoExp
| ~ visSomeExp(esk69_2(X1,X2))
| ~ epred3_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_64]) ).
cnf(i_0_91,plain,
( esk69_2(X1,X2) = vreduce(esk71_2(X1,X2))
| X2 = vsomeExp(vapp(vabs(esk64_2(X1,X2),esk65_2(X1,X2),esk66_2(X1,X2)),vgetSomeExp(esk67_2(X1,X2))))
| X2 = vnoExp
| X2 = vnoExp
| ~ epred3_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_64]) ).
cnf(i_0_92,plain,
( visValue(esk71_2(X1,X2))
| X2 = vsomeExp(vapp(vabs(esk64_2(X1,X2),esk65_2(X1,X2),esk66_2(X1,X2)),vgetSomeExp(esk67_2(X1,X2))))
| X2 = vnoExp
| X2 = vnoExp
| ~ epred3_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_64]) ).
cnf(i_0_93,plain,
( X1 = vapp(vabs(esk70_2(X1,X2),esk68_2(X1,X2),esk72_2(X1,X2)),esk71_2(X1,X2))
| X1 = vapp(vabs(esk64_2(X1,X2),esk65_2(X1,X2),esk66_2(X1,X2)),esk63_2(X1,X2))
| X2 = vnoExp
| X2 = vnoExp
| ~ epred3_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_64]) ).
cnf(i_0_94,plain,
( X1 = vsomeExp(vsubst(esk70_2(X2,X1),esk71_2(X2,X1),esk72_2(X2,X1)))
| X2 = vapp(vabs(esk64_2(X2,X1),esk65_2(X2,X1),esk66_2(X2,X1)),esk63_2(X2,X1))
| X1 = vnoExp
| X1 = vnoExp
| ~ epred3_2(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_64]) ).
fof(i_0_95,plain,
! [X689,X690,X699,X700,X701] :
( ( X689 = vapp(esk78_2(X689,X690),esk80_2(X689,X690))
| X689 = vapp(vabs(esk73_2(X689,X690),esk74_2(X689,X690),esk75_2(X689,X690)),esk77_2(X689,X690))
| epred3_2(X690,X689)
| ~ epred4_2(X690,X689) )
& ( esk78_2(X689,X690) != vabs(X699,X700,X701)
| X689 = vapp(vabs(esk73_2(X689,X690),esk74_2(X689,X690),esk75_2(X689,X690)),esk77_2(X689,X690))
| epred3_2(X690,X689)
| ~ epred4_2(X690,X689) )
& ( esk79_2(X689,X690) = vreduce(esk78_2(X689,X690))
| X689 = vapp(vabs(esk73_2(X689,X690),esk74_2(X689,X690),esk75_2(X689,X690)),esk77_2(X689,X690))
| epred3_2(X690,X689)
| ~ epred4_2(X690,X689) )
& ( visSomeExp(esk79_2(X689,X690))
| X689 = vapp(vabs(esk73_2(X689,X690),esk74_2(X689,X690),esk75_2(X689,X690)),esk77_2(X689,X690))
| epred3_2(X690,X689)
| ~ epred4_2(X690,X689) )
& ( X690 = vsomeExp(vapp(vgetSomeExp(esk79_2(X689,X690)),esk80_2(X689,X690)))
| X689 = vapp(vabs(esk73_2(X689,X690),esk74_2(X689,X690),esk75_2(X689,X690)),esk77_2(X689,X690))
| epred3_2(X690,X689)
| ~ epred4_2(X690,X689) )
& ( X689 = vapp(esk78_2(X689,X690),esk80_2(X689,X690))
| esk76_2(X689,X690) = vreduce(esk77_2(X689,X690))
| epred3_2(X690,X689)
| ~ epred4_2(X690,X689) )
& ( esk78_2(X689,X690) != vabs(X699,X700,X701)
| esk76_2(X689,X690) = vreduce(esk77_2(X689,X690))
| epred3_2(X690,X689)
| ~ epred4_2(X690,X689) )
& ( esk79_2(X689,X690) = vreduce(esk78_2(X689,X690))
| esk76_2(X689,X690) = vreduce(esk77_2(X689,X690))
| epred3_2(X690,X689)
| ~ epred4_2(X690,X689) )
& ( visSomeExp(esk79_2(X689,X690))
| esk76_2(X689,X690) = vreduce(esk77_2(X689,X690))
| epred3_2(X690,X689)
| ~ epred4_2(X690,X689) )
& ( X690 = vsomeExp(vapp(vgetSomeExp(esk79_2(X689,X690)),esk80_2(X689,X690)))
| esk76_2(X689,X690) = vreduce(esk77_2(X689,X690))
| epred3_2(X690,X689)
| ~ epred4_2(X690,X689) )
& ( X689 = vapp(esk78_2(X689,X690),esk80_2(X689,X690))
| ~ visSomeExp(esk76_2(X689,X690))
| epred3_2(X690,X689)
| ~ epred4_2(X690,X689) )
& ( esk78_2(X689,X690) != vabs(X699,X700,X701)
| ~ visSomeExp(esk76_2(X689,X690))
| epred3_2(X690,X689)
| ~ epred4_2(X690,X689) )
& ( esk79_2(X689,X690) = vreduce(esk78_2(X689,X690))
| ~ visSomeExp(esk76_2(X689,X690))
| epred3_2(X690,X689)
| ~ epred4_2(X690,X689) )
& ( visSomeExp(esk79_2(X689,X690))
| ~ visSomeExp(esk76_2(X689,X690))
| epred3_2(X690,X689)
| ~ epred4_2(X690,X689) )
& ( X690 = vsomeExp(vapp(vgetSomeExp(esk79_2(X689,X690)),esk80_2(X689,X690)))
| ~ visSomeExp(esk76_2(X689,X690))
| epred3_2(X690,X689)
| ~ epred4_2(X690,X689) )
& ( X689 = vapp(esk78_2(X689,X690),esk80_2(X689,X690))
| ~ visValue(esk77_2(X689,X690))
| epred3_2(X690,X689)
| ~ epred4_2(X690,X689) )
& ( esk78_2(X689,X690) != vabs(X699,X700,X701)
| ~ visValue(esk77_2(X689,X690))
| epred3_2(X690,X689)
| ~ epred4_2(X690,X689) )
& ( esk79_2(X689,X690) = vreduce(esk78_2(X689,X690))
| ~ visValue(esk77_2(X689,X690))
| epred3_2(X690,X689)
| ~ epred4_2(X690,X689) )
& ( visSomeExp(esk79_2(X689,X690))
| ~ visValue(esk77_2(X689,X690))
| epred3_2(X690,X689)
| ~ epred4_2(X690,X689) )
& ( X690 = vsomeExp(vapp(vgetSomeExp(esk79_2(X689,X690)),esk80_2(X689,X690)))
| ~ visValue(esk77_2(X689,X690))
| epred3_2(X690,X689)
| ~ epred4_2(X690,X689) )
& ( X689 = vapp(esk78_2(X689,X690),esk80_2(X689,X690))
| X690 = vnoExp
| epred3_2(X690,X689)
| ~ epred4_2(X690,X689) )
& ( esk78_2(X689,X690) != vabs(X699,X700,X701)
| X690 = vnoExp
| epred3_2(X690,X689)
| ~ epred4_2(X690,X689) )
& ( esk79_2(X689,X690) = vreduce(esk78_2(X689,X690))
| X690 = vnoExp
| epred3_2(X690,X689)
| ~ epred4_2(X690,X689) )
& ( visSomeExp(esk79_2(X689,X690))
| X690 = vnoExp
| epred3_2(X690,X689)
| ~ epred4_2(X690,X689) )
& ( X690 = vsomeExp(vapp(vgetSomeExp(esk79_2(X689,X690)),esk80_2(X689,X690)))
| X690 = vnoExp
| epred3_2(X690,X689)
| ~ epred4_2(X690,X689) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_65])])])])])]) ).
fof(i_0_96,plain,
! [X551,X552,X553,X554,X555,X556,X557] :
( X552 != vapp(vabs(X554,X555,X556),X551)
| X557 != vreduce(X551)
| ~ visSomeExp(X557)
| X553 != vreduce(X552)
| X553 = vsomeExp(vapp(vabs(X554,X555,X556),vgetSomeExp(X557))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[reduce2])]) ).
fof(i_0_97,plain,
! [X603,X604,X605,X606,X607] :
( ~ vtcheck(vbind(X604,X606,X603),X605,X607)
| vtcheck(X603,vabs(X604,X606,X605),varrow(X606,X607)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['T-abs'])]) ).
fof(i_0_98,negated_conjecture,
( esk32_0 != esk35_0
& ~ visFreeVar(esk32_0,vabs(esk35_0,esk36_0,veabs))
& vtcheck(esk34_0,vabs(esk35_0,esk36_0,veabs),esk37_0)
& ~ vtcheck(vbind(esk32_0,esk33_0,esk34_0),vabs(esk35_0,esk36_0,veabs),esk37_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_66])])]) ).
cnf(i_0_99,plain,
( X1 = vapp(vabs(esk64_2(X1,X2),esk65_2(X1,X2),esk66_2(X1,X2)),esk63_2(X1,X2))
| X2 = vnoExp
| X2 = vnoExp
| ~ visSomeExp(esk69_2(X1,X2))
| ~ epred3_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_64]) ).
cnf(i_0_100,plain,
( esk69_2(X1,X2) = vreduce(esk71_2(X1,X2))
| X1 = vapp(vabs(esk64_2(X1,X2),esk65_2(X1,X2),esk66_2(X1,X2)),esk63_2(X1,X2))
| X2 = vnoExp
| X2 = vnoExp
| ~ epred3_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_64]) ).
cnf(i_0_101,plain,
( X1 = vapp(vabs(esk70_2(X1,X2),esk68_2(X1,X2),esk72_2(X1,X2)),esk71_2(X1,X2))
| esk67_2(X1,X2) = vreduce(esk63_2(X1,X2))
| X2 = vnoExp
| X2 = vnoExp
| ~ epred3_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_64]) ).
fof(i_0_102,plain,
! [X516,X517,X518,X519,X520,X521,X522,X523,X524] :
( X516 != X522
| X517 != X523
| X518 != vabs(X520,X521,X524)
| X522 = X520
| visFreeVar(X520,X523)
| X519 != vsubst(X516,X517,X518)
| X519 = vabs(X520,X521,vsubst(X522,X523,X524)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_67])]) ).
cnf(i_0_103,plain,
( X1 = vapp(vabs(esk70_2(X1,X2),esk68_2(X1,X2),esk72_2(X1,X2)),esk71_2(X1,X2))
| visSomeExp(esk67_2(X1,X2))
| X2 = vnoExp
| X2 = vnoExp
| ~ epred3_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_64]) ).
cnf(i_0_104,plain,
( visValue(esk71_2(X1,X2))
| X1 = vapp(vabs(esk64_2(X1,X2),esk65_2(X1,X2),esk66_2(X1,X2)),esk63_2(X1,X2))
| X2 = vnoExp
| X2 = vnoExp
| ~ epred3_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_64]) ).
fof(i_0_105,plain,
! [X489,X490,X491,X492,X493,X494,X495,X496] :
( X489 != X494
| X490 != X495
| X491 != vapp(X493,X496)
| X492 != vsubst(X489,X490,X491)
| X492 = vapp(vsubst(X494,X495,X493),vsubst(X494,X495,X496)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[subst2])]) ).
cnf(i_0_106,plain,
( X1 = vsomeExp(vsubst(esk70_2(X2,X1),esk71_2(X2,X1),esk72_2(X2,X1)))
| esk67_2(X2,X1) = vreduce(esk63_2(X2,X1))
| X1 = vnoExp
| X1 = vnoExp
| ~ epred3_2(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_64]) ).
fof(i_0_107,plain,
! [X558,X559,X560,X561,X562,X563,X564] :
( X560 != vapp(vabs(X562,X558,X564),X563)
| X559 != vreduce(X563)
| visSomeExp(X559)
| ~ visValue(X563)
| X561 != vreduce(X560)
| X561 = vsomeExp(vsubst(X562,X563,X564)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_68])]) ).
fof(i_0_108,plain,
! [X629,X630,X631,X632,X633] :
( visFreeVar(X629,X632)
| ~ vtcheck(vbind(X629,X630,X631),X632,X633)
| vtcheck(X631,X632,X633) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_69])]) ).
cnf(i_0_109,plain,
( X1 = vsomeExp(vsubst(esk70_2(X2,X1),esk71_2(X2,X1),esk72_2(X2,X1)))
| visSomeExp(esk67_2(X2,X1))
| X1 = vnoExp
| X1 = vnoExp
| ~ epred3_2(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_64]) ).
fof(i_0_110,plain,
! [X608,X609,X610,X611,X612] :
( ~ vtcheck(X609,X610,varrow(X608,X612))
| ~ vtcheck(X609,X611,X608)
| vtcheck(X609,vapp(X610,X611),X612) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['T-app'])]) ).
fof(i_0_111,plain,
! [X624,X625,X626,X627,X628] :
( vlookup(X624,X626) != vnoType
| ~ vtcheck(X626,X627,X628)
| vtcheck(vbind(X624,X625,X626),X627,X628) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['T-Weak'])]) ).
fof(i_0_112,plain,
! [X634,X635,X636,X637] :
( visFreeVar(X634,veabs)
| ~ vtcheck(X636,veabs,X637)
| vtcheck(vbind(X634,X635,X636),veabs,X637) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_70])]) ).
fof(i_0_113,plain,
! [X497,X498,X499,X500,X501,X502,X503,X504,X505] :
( X499 != X498
| X500 != X497
| X501 != vabs(X503,X504,X505)
| X498 != X503
| X502 != vsubst(X499,X500,X501)
| X502 = vabs(X503,X504,X505) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[subst3])]) ).
fof(i_0_114,plain,
! [X565,X566,X567,X568,X569,X570,X571] :
( X570 != vapp(vabs(X565,X566,X567),X569)
| X568 != vreduce(X569)
| visSomeExp(X568)
| visValue(X569)
| X571 != vreduce(X570)
| X571 = vnoExp ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_71])]) ).
fof(i_0_115,plain,
! [X411,X412,X413,X414,X415,X416] :
( ( X411 = X414
| vbind(X411,X412,X413) != vbind(X414,X415,X416) )
& ( X412 = X415
| vbind(X411,X412,X413) != vbind(X414,X415,X416) )
& ( X413 = X416
| vbind(X411,X412,X413) != vbind(X414,X415,X416) )
& ( X411 != X414
| X412 != X415
| X413 != X416
| vbind(X411,X412,X413) = vbind(X414,X415,X416) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['EQ-bind'])])]) ).
fof(i_0_116,plain,
! [X365,X366,X367,X368,X369,X370] :
( ( X365 = X368
| vabs(X365,X366,X367) != vabs(X368,X369,X370) )
& ( X366 = X369
| vabs(X365,X366,X367) != vabs(X368,X369,X370) )
& ( X367 = X370
| vabs(X365,X366,X367) != vabs(X368,X369,X370) )
& ( X365 != X368
| X366 != X369
| X367 != X370
| vabs(X365,X366,X367) = vabs(X368,X369,X370) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['EQ-abs'])])]) ).
fof(i_0_117,plain,
! [X440,X441,X442,X443,X444,X445,X446] :
( X442 != X445
| X443 != vbind(X441,X440,X446)
| X445 = X441
| X444 != vlookup(X442,X443)
| X444 = vlookup(X445,X446) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[lookup2])]) ).
fof(i_0_118,plain,
! [X588,X589,X593,X594,X595] :
( ( X588 = vapp(esk22_2(X588,X589),esk21_2(X588,X589))
| epred4_2(X589,X588)
| vreduce(X588) != X589 )
& ( esk22_2(X588,X589) != vabs(X593,X594,X595)
| epred4_2(X589,X588)
| vreduce(X588) != X589 )
& ( esk23_2(X588,X589) = vreduce(esk22_2(X588,X589))
| epred4_2(X589,X588)
| vreduce(X588) != X589 )
& ( ~ visSomeExp(esk23_2(X588,X589))
| epred4_2(X589,X588)
| vreduce(X588) != X589 )
& ( X589 = vnoExp
| epred4_2(X589,X588)
| vreduce(X588) != X589 ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_72])])])])])]) ).
fof(i_0_119,plain,
! [X400,X401,X402,X403,X404,X405] :
( ( X403 = X404
| ~ visFreeVar(X404,X405)
| visFreeVar(X401,X402)
| X401 != X404
| X402 != vabs(X403,X400,X405) )
& ( X403 != X404
| ~ visFreeVar(X401,X402)
| X401 != X404
| X402 != vabs(X403,X400,X405) )
& ( visFreeVar(X404,X405)
| ~ visFreeVar(X401,X402)
| X401 != X404
| X402 != vabs(X403,X400,X405) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[isFreeVar1])])]) ).
fof(i_0_120,plain,
! [X433,X434,X435,X436,X437,X438,X439] :
( X436 != X434
| X437 != vbind(X435,X439,X433)
| X434 != X435
| X438 != vlookup(X436,X437)
| X438 = vsomeType(X439) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[lookup1])]) ).
cnf(i_0_121,plain,
( esk67_2(X1,X2) = vreduce(esk63_2(X1,X2))
| X2 = vnoExp
| X2 = vnoExp
| ~ visSomeExp(esk69_2(X1,X2))
| ~ epred3_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_64]) ).
cnf(i_0_122,plain,
( esk69_2(X1,X2) = vreduce(esk71_2(X1,X2))
| esk67_2(X1,X2) = vreduce(esk63_2(X1,X2))
| X2 = vnoExp
| X2 = vnoExp
| ~ epred3_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_64]) ).
fof(i_0_123,plain,
! [X482,X483,X484,X485,X486,X487,X488] :
( X484 != X483
| X485 != X482
| X486 != vvar(X488)
| X483 = X488
| X487 != vsubst(X484,X485,X486)
| X487 = vvar(X488) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[subst1])]) ).
fof(i_0_124,plain,
! [X475,X476,X477,X478,X479,X480,X481] :
( X477 != X475
| X478 != X481
| X479 != vvar(X476)
| X475 != X476
| X480 != vsubst(X477,X478,X479)
| X480 = X481 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[subst0])]) ).
fof(i_0_125,plain,
! [X382,X383,X384,X385,X386] : vabs(X382,X383,X384) != vapp(X385,X386),
inference(variable_rename,[status(thm)],['DIFF-abs-app']) ).
cnf(i_0_126,plain,
( visSomeExp(esk67_2(X1,X2))
| X2 = vnoExp
| X2 = vnoExp
| ~ visSomeExp(esk69_2(X1,X2))
| ~ epred3_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_64]) ).
cnf(i_0_127,plain,
( esk69_2(X1,X2) = vreduce(esk71_2(X1,X2))
| visSomeExp(esk67_2(X1,X2))
| X2 = vnoExp
| X2 = vnoExp
| ~ epred3_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_64]) ).
cnf(i_0_128,plain,
( visValue(esk71_2(X1,X2))
| esk67_2(X1,X2) = vreduce(esk63_2(X1,X2))
| X2 = vnoExp
| X2 = vnoExp
| ~ epred3_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_64]) ).
fof(i_0_129,plain,
! [X546,X547,X548,X549,X550] :
( X549 != vabs(X546,X547,X548)
| X550 != vreduce(X549)
| X550 = vnoExp ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[reduce1])]) ).
fof(i_0_130,plain,
! [X375,X376,X377,X378] : vvar(X375) != vabs(X376,X377,X378),
inference(variable_rename,[status(thm)],['DIFF-var-abs']) ).
fof(i_0_131,plain,
! [X387,X388,X389,X390] :
( X390 != vabs(X387,X388,X389)
| visValue(X390) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[isValue0])]) ).
fof(i_0_132,plain,
! [X600,X601,X602] :
( vlookup(X601,X600) != vsomeType(X602)
| vtcheck(X600,vvar(X601),X602) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['T-var'])]) ).
fof(i_0_133,plain,
! [X419,X420,X421] : vempty != vbind(X419,X420,X421),
inference(variable_rename,[status(thm)],['DIFF-empty-bind']) ).
cnf(i_0_134,plain,
( visValue(esk71_2(X1,X2))
| visSomeExp(esk67_2(X1,X2))
| X2 = vnoExp
| X2 = vnoExp
| ~ epred3_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_64]) ).
fof(i_0_135,plain,
! [X406,X407,X408,X409,X410] :
( ( ~ visFreeVar(X409,X408)
| visFreeVar(X406,X407)
| X406 != X409
| X407 != vapp(X408,X410) )
& ( ~ visFreeVar(X409,X410)
| visFreeVar(X406,X407)
| X406 != X409
| X407 != vapp(X408,X410) )
& ( ~ visFreeVar(X406,X407)
| visFreeVar(X409,X408)
| visFreeVar(X409,X410)
| X406 != X409
| X407 != vapp(X408,X410) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[isFreeVar2])])]) ).
fof(i_0_136,plain,
! [X596,X597,X598,X599] :
( ( X596 = X598
| varrow(X596,X597) != varrow(X598,X599) )
& ( X597 = X599
| varrow(X596,X597) != varrow(X598,X599) )
& ( X596 != X598
| X597 != X599
| varrow(X596,X597) = varrow(X598,X599) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['EQ-arrow'])])]) ).
fof(i_0_137,plain,
! [X371,X372,X373,X374] :
( ( X371 = X373
| vapp(X371,X372) != vapp(X373,X374) )
& ( X372 = X374
| vapp(X371,X372) != vapp(X373,X374) )
& ( X371 != X373
| X372 != X374
| vapp(X371,X372) = vapp(X373,X374) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['EQ-app'])])]) ).
fof(i_0_138,plain,
! [X396,X397,X398,X399] :
( ( X398 != X399
| visFreeVar(X396,X397)
| X396 != X399
| X397 != vvar(X398) )
& ( ~ visFreeVar(X396,X397)
| X398 = X399
| X396 != X399
| X397 != vvar(X398) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[isFreeVar0])])]) ).
fof(i_0_139,plain,
! [X429,X430,X431,X432] :
( X430 != X429
| X431 != vempty
| X432 != vlookup(X430,X431)
| X432 = vnoType ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[lookup0])]) ).
fof(i_0_140,plain,
! [X393,X394,X395] :
( X395 != vapp(X393,X394)
| ~ visValue(X395) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_73])]) ).
fof(i_0_141,plain,
! [X473,X474] :
( vgensym(X474) != X473
| ~ visFreeVar(X473,X474) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_74])]) ).
fof(i_0_142,plain,
! [X379,X380,X381] : vvar(X379) != vapp(X380,X381),
inference(variable_rename,[status(thm)],['DIFF-var-app']) ).
fof(i_0_143,plain,
! [X540,X541,X542] :
( X540 != vsomeExp(X542)
| X541 != vgetSomeExp(X540)
| X541 = X542 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[getSomeExp0])]) ).
fof(i_0_144,plain,
! [X426,X427,X428] :
( X426 != vsomeType(X428)
| X427 != vgetSomeType(X426)
| X427 = X428 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[getSomeType0])]) ).
fof(i_0_145,plain,
! [X543,X544,X545] :
( X544 != vvar(X543)
| X545 != vreduce(X544)
| X545 = vnoExp ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[reduce0])]) ).
fof(i_0_146,plain,
! [X391,X392] :
( X392 != vvar(X391)
| ~ visValue(X392) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_75])]) ).
fof(i_0_147,plain,
! [X534,X535] :
( ( vsomeExp(X534) != vsomeExp(X535)
| X534 = X535 )
& ( X534 != X535
| vsomeExp(X534) = vsomeExp(X535) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['EQ-someExp'])]) ).
fof(i_0_148,plain,
! [X417,X418] :
( ( vsomeType(X417) != vsomeType(X418)
| X417 = X418 )
& ( X417 != X418
| vsomeType(X417) = vsomeType(X418) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['EQ-someType'])]) ).
fof(i_0_149,plain,
! [X363,X364] :
( ( vvar(X363) != vvar(X364)
| X363 = X364 )
& ( X363 != X364
| vvar(X363) = vvar(X364) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['EQ-var'])]) ).
fof(i_0_150,plain,
! [X538,X539] :
( X539 != vsomeExp(X538)
| visSomeExp(X539) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[isSomeExp1])]) ).
fof(i_0_151,plain,
! [X424,X425] :
( X425 != vsomeType(X424)
| visSomeType(X425) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[isSomeType1])]) ).
fof(i_0_152,plain,
! [X537] :
( X537 != vnoExp
| ~ visSomeExp(X537) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_76])]) ).
fof(i_0_153,plain,
! [X423] :
( X423 != vnoType
| ~ visSomeType(X423) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_77])]) ).
fof(i_0_154,plain,
! [X536] : vnoExp != vsomeExp(X536),
inference(variable_rename,[status(thm)],['DIFF-noExp-someExp']) ).
fof(i_0_155,plain,
! [X422] : vnoType != vsomeType(X422),
inference(variable_rename,[status(thm)],['DIFF-noType-someType']) ).
cnf(i_0_156,plain,
( X1 = vsubst(esk53_4(X2,X3,X4,X1),esk54_4(X2,X3,X4,X1),vabs(esk57_4(X2,X3,X4,X1),esk55_4(X2,X3,X4,X1),vsubst(esk56_4(X2,X3,X4,X1),vvar(esk57_4(X2,X3,X4,X1)),esk58_4(X2,X3,X4,X1))))
| X1 = vabs(esk50_4(X2,X3,X4,X1),esk51_4(X2,X3,X4,X1),esk52_4(X2,X3,X4,X1))
| X1 = vapp(vsubst(esk45_4(X2,X3,X4,X1),esk46_4(X2,X3,X4,X1),esk44_4(X2,X3,X4,X1)),vsubst(esk45_4(X2,X3,X4,X1),esk46_4(X2,X3,X4,X1),esk47_4(X2,X3,X4,X1)))
| epred1_4(X1,X4,X3,X2)
| ~ epred2_4(X1,X4,X3,X2) ),
inference(split_conjunct,[status(thm)],[i_0_78]),
[final] ).
cnf(i_0_157,plain,
( X1 = vsubst(esk53_4(X2,X3,X4,X1),esk54_4(X2,X3,X4,X1),vabs(esk57_4(X2,X3,X4,X1),esk55_4(X2,X3,X4,X1),vsubst(esk56_4(X2,X3,X4,X1),vvar(esk57_4(X2,X3,X4,X1)),esk58_4(X2,X3,X4,X1))))
| X4 = vabs(esk50_4(X2,X3,X4,X1),esk51_4(X2,X3,X4,X1),esk52_4(X2,X3,X4,X1))
| X1 = vapp(vsubst(esk45_4(X2,X3,X4,X1),esk46_4(X2,X3,X4,X1),esk44_4(X2,X3,X4,X1)),vsubst(esk45_4(X2,X3,X4,X1),esk46_4(X2,X3,X4,X1),esk47_4(X2,X3,X4,X1)))
| epred1_4(X1,X4,X3,X2)
| ~ epred2_4(X1,X4,X3,X2) ),
inference(split_conjunct,[status(thm)],[i_0_78]),
[final] ).
cnf(i_0_158,plain,
( X1 = vsubst(esk53_4(X2,X3,X4,X1),esk54_4(X2,X3,X4,X1),vabs(esk57_4(X2,X3,X4,X1),esk55_4(X2,X3,X4,X1),vsubst(esk56_4(X2,X3,X4,X1),vvar(esk57_4(X2,X3,X4,X1)),esk58_4(X2,X3,X4,X1))))
| esk49_4(X2,X3,X4,X1) = esk50_4(X2,X3,X4,X1)
| X1 = vapp(vsubst(esk45_4(X2,X3,X4,X1),esk46_4(X2,X3,X4,X1),esk44_4(X2,X3,X4,X1)),vsubst(esk45_4(X2,X3,X4,X1),esk46_4(X2,X3,X4,X1),esk47_4(X2,X3,X4,X1)))
| epred1_4(X1,X4,X3,X2)
| ~ epred2_4(X1,X4,X3,X2) ),
inference(split_conjunct,[status(thm)],[i_0_78]),
[final] ).
cnf(i_0_159,plain,
( X1 = vsubst(esk53_4(X2,X3,X4,X1),esk54_4(X2,X3,X4,X1),vabs(esk57_4(X2,X3,X4,X1),esk55_4(X2,X3,X4,X1),vsubst(esk56_4(X2,X3,X4,X1),vvar(esk57_4(X2,X3,X4,X1)),esk58_4(X2,X3,X4,X1))))
| X2 = esk49_4(X2,X3,X4,X1)
| X1 = vapp(vsubst(esk45_4(X2,X3,X4,X1),esk46_4(X2,X3,X4,X1),esk44_4(X2,X3,X4,X1)),vsubst(esk45_4(X2,X3,X4,X1),esk46_4(X2,X3,X4,X1),esk47_4(X2,X3,X4,X1)))
| epred1_4(X1,X4,X3,X2)
| ~ epred2_4(X1,X4,X3,X2) ),
inference(split_conjunct,[status(thm)],[i_0_78]),
[final] ).
cnf(i_0_160,plain,
( X1 = vsubst(esk53_4(X2,X3,X4,X1),esk54_4(X2,X3,X4,X1),vabs(esk57_4(X2,X3,X4,X1),esk55_4(X2,X3,X4,X1),vsubst(esk56_4(X2,X3,X4,X1),vvar(esk57_4(X2,X3,X4,X1)),esk58_4(X2,X3,X4,X1))))
| X3 = esk48_4(X2,X3,X4,X1)
| X1 = vapp(vsubst(esk45_4(X2,X3,X4,X1),esk46_4(X2,X3,X4,X1),esk44_4(X2,X3,X4,X1)),vsubst(esk45_4(X2,X3,X4,X1),esk46_4(X2,X3,X4,X1),esk47_4(X2,X3,X4,X1)))
| epred1_4(X1,X4,X3,X2)
| ~ epred2_4(X1,X4,X3,X2) ),
inference(split_conjunct,[status(thm)],[i_0_78]),
[final] ).
cnf(i_0_161,plain,
( esk57_4(X1,X2,X3,X4) = vgensym(vapp(vapp(esk54_4(X1,X2,X3,X4),esk58_4(X1,X2,X3,X4)),vvar(esk53_4(X1,X2,X3,X4))))
| X3 = vabs(esk50_4(X1,X2,X3,X4),esk51_4(X1,X2,X3,X4),esk52_4(X1,X2,X3,X4))
| X4 = vapp(vsubst(esk45_4(X1,X2,X3,X4),esk46_4(X1,X2,X3,X4),esk44_4(X1,X2,X3,X4)),vsubst(esk45_4(X1,X2,X3,X4),esk46_4(X1,X2,X3,X4),esk47_4(X1,X2,X3,X4)))
| epred1_4(X4,X3,X2,X1)
| ~ epred2_4(X4,X3,X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_78]),
[final] ).
cnf(i_0_162,plain,
( esk57_4(X1,X2,X3,X4) = vgensym(vapp(vapp(esk54_4(X1,X2,X3,X4),esk58_4(X1,X2,X3,X4)),vvar(esk53_4(X1,X2,X3,X4))))
| X4 = vabs(esk50_4(X1,X2,X3,X4),esk51_4(X1,X2,X3,X4),esk52_4(X1,X2,X3,X4))
| X4 = vapp(vsubst(esk45_4(X1,X2,X3,X4),esk46_4(X1,X2,X3,X4),esk44_4(X1,X2,X3,X4)),vsubst(esk45_4(X1,X2,X3,X4),esk46_4(X1,X2,X3,X4),esk47_4(X1,X2,X3,X4)))
| epred1_4(X4,X3,X2,X1)
| ~ epred2_4(X4,X3,X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_78]),
[final] ).
cnf(i_0_163,plain,
( X1 = vsubst(esk53_4(X2,X3,X4,X1),esk54_4(X2,X3,X4,X1),vabs(esk57_4(X2,X3,X4,X1),esk55_4(X2,X3,X4,X1),vsubst(esk56_4(X2,X3,X4,X1),vvar(esk57_4(X2,X3,X4,X1)),esk58_4(X2,X3,X4,X1))))
| X1 = vabs(esk50_4(X2,X3,X4,X1),esk51_4(X2,X3,X4,X1),esk52_4(X2,X3,X4,X1))
| X4 = vapp(esk44_4(X2,X3,X4,X1),esk47_4(X2,X3,X4,X1))
| epred1_4(X1,X4,X3,X2)
| ~ epred2_4(X1,X4,X3,X2) ),
inference(split_conjunct,[status(thm)],[i_0_78]),
[final] ).
cnf(i_0_164,plain,
( X1 = vsubst(esk53_4(X2,X3,X4,X1),esk54_4(X2,X3,X4,X1),vabs(esk57_4(X2,X3,X4,X1),esk55_4(X2,X3,X4,X1),vsubst(esk56_4(X2,X3,X4,X1),vvar(esk57_4(X2,X3,X4,X1)),esk58_4(X2,X3,X4,X1))))
| X4 = vabs(esk50_4(X2,X3,X4,X1),esk51_4(X2,X3,X4,X1),esk52_4(X2,X3,X4,X1))
| X4 = vapp(esk44_4(X2,X3,X4,X1),esk47_4(X2,X3,X4,X1))
| epred1_4(X1,X4,X3,X2)
| ~ epred2_4(X1,X4,X3,X2) ),
inference(split_conjunct,[status(thm)],[i_0_78]),
[final] ).
cnf(i_0_165,plain,
( X1 = vsubst(esk53_4(X2,X3,X4,X1),esk54_4(X2,X3,X4,X1),vabs(esk57_4(X2,X3,X4,X1),esk55_4(X2,X3,X4,X1),vsubst(esk56_4(X2,X3,X4,X1),vvar(esk57_4(X2,X3,X4,X1)),esk58_4(X2,X3,X4,X1))))
| X1 = vabs(esk50_4(X2,X3,X4,X1),esk51_4(X2,X3,X4,X1),esk52_4(X2,X3,X4,X1))
| X2 = esk45_4(X2,X3,X4,X1)
| epred1_4(X1,X4,X3,X2)
| ~ epred2_4(X1,X4,X3,X2) ),
inference(split_conjunct,[status(thm)],[i_0_78]),
[final] ).
cnf(i_0_166,plain,
( X1 = vsubst(esk53_4(X2,X3,X4,X1),esk54_4(X2,X3,X4,X1),vabs(esk57_4(X2,X3,X4,X1),esk55_4(X2,X3,X4,X1),vsubst(esk56_4(X2,X3,X4,X1),vvar(esk57_4(X2,X3,X4,X1)),esk58_4(X2,X3,X4,X1))))
| X4 = vabs(esk50_4(X2,X3,X4,X1),esk51_4(X2,X3,X4,X1),esk52_4(X2,X3,X4,X1))
| X2 = esk45_4(X2,X3,X4,X1)
| epred1_4(X1,X4,X3,X2)
| ~ epred2_4(X1,X4,X3,X2) ),
inference(split_conjunct,[status(thm)],[i_0_78]),
[final] ).
cnf(i_0_167,plain,
( X1 = vsubst(esk53_4(X2,X3,X4,X1),esk54_4(X2,X3,X4,X1),vabs(esk57_4(X2,X3,X4,X1),esk55_4(X2,X3,X4,X1),vsubst(esk56_4(X2,X3,X4,X1),vvar(esk57_4(X2,X3,X4,X1)),esk58_4(X2,X3,X4,X1))))
| X1 = vabs(esk50_4(X2,X3,X4,X1),esk51_4(X2,X3,X4,X1),esk52_4(X2,X3,X4,X1))
| X3 = esk46_4(X2,X3,X4,X1)
| epred1_4(X1,X4,X3,X2)
| ~ epred2_4(X1,X4,X3,X2) ),
inference(split_conjunct,[status(thm)],[i_0_78]),
[final] ).
cnf(i_0_168,plain,
( X1 = vsubst(esk53_4(X2,X3,X4,X1),esk54_4(X2,X3,X4,X1),vabs(esk57_4(X2,X3,X4,X1),esk55_4(X2,X3,X4,X1),vsubst(esk56_4(X2,X3,X4,X1),vvar(esk57_4(X2,X3,X4,X1)),esk58_4(X2,X3,X4,X1))))
| X4 = vabs(esk50_4(X2,X3,X4,X1),esk51_4(X2,X3,X4,X1),esk52_4(X2,X3,X4,X1))
| X3 = esk46_4(X2,X3,X4,X1)
| epred1_4(X1,X4,X3,X2)
| ~ epred2_4(X1,X4,X3,X2) ),
inference(split_conjunct,[status(thm)],[i_0_78]),
[final] ).
cnf(i_0_169,plain,
( esk57_4(X1,X2,X3,X4) = vgensym(vapp(vapp(esk54_4(X1,X2,X3,X4),esk58_4(X1,X2,X3,X4)),vvar(esk53_4(X1,X2,X3,X4))))
| esk49_4(X1,X2,X3,X4) = esk50_4(X1,X2,X3,X4)
| X4 = vapp(vsubst(esk45_4(X1,X2,X3,X4),esk46_4(X1,X2,X3,X4),esk44_4(X1,X2,X3,X4)),vsubst(esk45_4(X1,X2,X3,X4),esk46_4(X1,X2,X3,X4),esk47_4(X1,X2,X3,X4)))
| epred1_4(X4,X3,X2,X1)
| ~ epred2_4(X4,X3,X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_78]),
[final] ).
cnf(i_0_170,plain,
( X1 = vsubst(esk53_4(X2,X3,X4,X1),esk54_4(X2,X3,X4,X1),vabs(esk57_4(X2,X3,X4,X1),esk55_4(X2,X3,X4,X1),vsubst(esk56_4(X2,X3,X4,X1),vvar(esk57_4(X2,X3,X4,X1)),esk58_4(X2,X3,X4,X1))))
| esk49_4(X2,X3,X4,X1) = esk50_4(X2,X3,X4,X1)
| X4 = vapp(esk44_4(X2,X3,X4,X1),esk47_4(X2,X3,X4,X1))
| epred1_4(X1,X4,X3,X2)
| ~ epred2_4(X1,X4,X3,X2) ),
inference(split_conjunct,[status(thm)],[i_0_78]),
[final] ).
cnf(i_0_171,plain,
( esk57_4(X1,X2,X3,X4) = vgensym(vapp(vapp(esk54_4(X1,X2,X3,X4),esk58_4(X1,X2,X3,X4)),vvar(esk53_4(X1,X2,X3,X4))))
| X1 = esk49_4(X1,X2,X3,X4)
| X4 = vapp(vsubst(esk45_4(X1,X2,X3,X4),esk46_4(X1,X2,X3,X4),esk44_4(X1,X2,X3,X4)),vsubst(esk45_4(X1,X2,X3,X4),esk46_4(X1,X2,X3,X4),esk47_4(X1,X2,X3,X4)))
| epred1_4(X4,X3,X2,X1)
| ~ epred2_4(X4,X3,X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_78]),
[final] ).
cnf(i_0_172,plain,
( esk57_4(X1,X2,X3,X4) = vgensym(vapp(vapp(esk54_4(X1,X2,X3,X4),esk58_4(X1,X2,X3,X4)),vvar(esk53_4(X1,X2,X3,X4))))
| X2 = esk48_4(X1,X2,X3,X4)
| X4 = vapp(vsubst(esk45_4(X1,X2,X3,X4),esk46_4(X1,X2,X3,X4),esk44_4(X1,X2,X3,X4)),vsubst(esk45_4(X1,X2,X3,X4),esk46_4(X1,X2,X3,X4),esk47_4(X1,X2,X3,X4)))
| epred1_4(X4,X3,X2,X1)
| ~ epred2_4(X4,X3,X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_78]),
[final] ).
cnf(i_0_173,plain,
( X1 = vsubst(esk53_4(X2,X3,X4,X1),esk54_4(X2,X3,X4,X1),vabs(esk57_4(X2,X3,X4,X1),esk55_4(X2,X3,X4,X1),vsubst(esk56_4(X2,X3,X4,X1),vvar(esk57_4(X2,X3,X4,X1)),esk58_4(X2,X3,X4,X1))))
| X2 = esk49_4(X2,X3,X4,X1)
| X4 = vapp(esk44_4(X2,X3,X4,X1),esk47_4(X2,X3,X4,X1))
| epred1_4(X1,X4,X3,X2)
| ~ epred2_4(X1,X4,X3,X2) ),
inference(split_conjunct,[status(thm)],[i_0_78]),
[final] ).
cnf(i_0_174,plain,
( X1 = vsubst(esk53_4(X2,X3,X4,X1),esk54_4(X2,X3,X4,X1),vabs(esk57_4(X2,X3,X4,X1),esk55_4(X2,X3,X4,X1),vsubst(esk56_4(X2,X3,X4,X1),vvar(esk57_4(X2,X3,X4,X1)),esk58_4(X2,X3,X4,X1))))
| X3 = esk48_4(X2,X3,X4,X1)
| X4 = vapp(esk44_4(X2,X3,X4,X1),esk47_4(X2,X3,X4,X1))
| epred1_4(X1,X4,X3,X2)
| ~ epred2_4(X1,X4,X3,X2) ),
inference(split_conjunct,[status(thm)],[i_0_78]),
[final] ).
cnf(i_0_175,plain,
( X1 = vsubst(esk53_4(X2,X3,X4,X1),esk54_4(X2,X3,X4,X1),vabs(esk57_4(X2,X3,X4,X1),esk55_4(X2,X3,X4,X1),vsubst(esk56_4(X2,X3,X4,X1),vvar(esk57_4(X2,X3,X4,X1)),esk58_4(X2,X3,X4,X1))))
| esk49_4(X2,X3,X4,X1) = esk50_4(X2,X3,X4,X1)
| X2 = esk45_4(X2,X3,X4,X1)
| epred1_4(X1,X4,X3,X2)
| ~ epred2_4(X1,X4,X3,X2) ),
inference(split_conjunct,[status(thm)],[i_0_78]),
[final] ).
cnf(i_0_176,plain,
( X1 = vsubst(esk53_4(X2,X3,X4,X1),esk54_4(X2,X3,X4,X1),vabs(esk57_4(X2,X3,X4,X1),esk55_4(X2,X3,X4,X1),vsubst(esk56_4(X2,X3,X4,X1),vvar(esk57_4(X2,X3,X4,X1)),esk58_4(X2,X3,X4,X1))))
| esk49_4(X2,X3,X4,X1) = esk50_4(X2,X3,X4,X1)
| X3 = esk46_4(X2,X3,X4,X1)
| epred1_4(X1,X4,X3,X2)
| ~ epred2_4(X1,X4,X3,X2) ),
inference(split_conjunct,[status(thm)],[i_0_78]),
[final] ).
cnf(i_0_177,plain,
( X1 = vsubst(esk53_4(X2,X3,X4,X1),esk54_4(X2,X3,X4,X1),vabs(esk57_4(X2,X3,X4,X1),esk55_4(X2,X3,X4,X1),vsubst(esk56_4(X2,X3,X4,X1),vvar(esk57_4(X2,X3,X4,X1)),esk58_4(X2,X3,X4,X1))))
| X2 = esk49_4(X2,X3,X4,X1)
| X2 = esk45_4(X2,X3,X4,X1)
| epred1_4(X1,X4,X3,X2)
| ~ epred2_4(X1,X4,X3,X2) ),
inference(split_conjunct,[status(thm)],[i_0_78]),
[final] ).
cnf(i_0_178,plain,
( X1 = vsubst(esk53_4(X2,X3,X4,X1),esk54_4(X2,X3,X4,X1),vabs(esk57_4(X2,X3,X4,X1),esk55_4(X2,X3,X4,X1),vsubst(esk56_4(X2,X3,X4,X1),vvar(esk57_4(X2,X3,X4,X1)),esk58_4(X2,X3,X4,X1))))
| X3 = esk48_4(X2,X3,X4,X1)
| X2 = esk45_4(X2,X3,X4,X1)
| epred1_4(X1,X4,X3,X2)
| ~ epred2_4(X1,X4,X3,X2) ),
inference(split_conjunct,[status(thm)],[i_0_78]),
[final] ).
cnf(i_0_179,plain,
( X1 = vsubst(esk53_4(X2,X3,X4,X1),esk54_4(X2,X3,X4,X1),vabs(esk57_4(X2,X3,X4,X1),esk55_4(X2,X3,X4,X1),vsubst(esk56_4(X2,X3,X4,X1),vvar(esk57_4(X2,X3,X4,X1)),esk58_4(X2,X3,X4,X1))))
| X2 = esk49_4(X2,X3,X4,X1)
| X3 = esk46_4(X2,X3,X4,X1)
| epred1_4(X1,X4,X3,X2)
| ~ epred2_4(X1,X4,X3,X2) ),
inference(split_conjunct,[status(thm)],[i_0_78]),
[final] ).
cnf(i_0_180,plain,
( X1 = vsubst(esk53_4(X2,X3,X4,X1),esk54_4(X2,X3,X4,X1),vabs(esk57_4(X2,X3,X4,X1),esk55_4(X2,X3,X4,X1),vsubst(esk56_4(X2,X3,X4,X1),vvar(esk57_4(X2,X3,X4,X1)),esk58_4(X2,X3,X4,X1))))
| X3 = esk48_4(X2,X3,X4,X1)
| X3 = esk46_4(X2,X3,X4,X1)
| epred1_4(X1,X4,X3,X2)
| ~ epred2_4(X1,X4,X3,X2) ),
inference(split_conjunct,[status(thm)],[i_0_78]),
[final] ).
cnf(i_0_181,plain,
( X1 = vabs(esk56_4(X2,X3,X1,X4),esk55_4(X2,X3,X1,X4),esk58_4(X2,X3,X1,X4))
| X1 = vabs(esk50_4(X2,X3,X1,X4),esk51_4(X2,X3,X1,X4),esk52_4(X2,X3,X1,X4))
| X4 = vapp(vsubst(esk45_4(X2,X3,X1,X4),esk46_4(X2,X3,X1,X4),esk44_4(X2,X3,X1,X4)),vsubst(esk45_4(X2,X3,X1,X4),esk46_4(X2,X3,X1,X4),esk47_4(X2,X3,X1,X4)))
| epred1_4(X4,X1,X3,X2)
| ~ epred2_4(X4,X1,X3,X2) ),
inference(split_conjunct,[status(thm)],[i_0_78]),
[final] ).
cnf(i_0_182,plain,
( X1 = vabs(esk56_4(X2,X3,X1,X4),esk55_4(X2,X3,X1,X4),esk58_4(X2,X3,X1,X4))
| X4 = vabs(esk50_4(X2,X3,X1,X4),esk51_4(X2,X3,X1,X4),esk52_4(X2,X3,X1,X4))
| X4 = vapp(vsubst(esk45_4(X2,X3,X1,X4),esk46_4(X2,X3,X1,X4),esk44_4(X2,X3,X1,X4)),vsubst(esk45_4(X2,X3,X1,X4),esk46_4(X2,X3,X1,X4),esk47_4(X2,X3,X1,X4)))
| epred1_4(X4,X1,X3,X2)
| ~ epred2_4(X4,X1,X3,X2) ),
inference(split_conjunct,[status(thm)],[i_0_78]),
[final] ).
cnf(i_0_183,plain,
( esk57_4(X1,X2,X3,X4) = vgensym(vapp(vapp(esk54_4(X1,X2,X3,X4),esk58_4(X1,X2,X3,X4)),vvar(esk53_4(X1,X2,X3,X4))))
| X3 = vabs(esk50_4(X1,X2,X3,X4),esk51_4(X1,X2,X3,X4),esk52_4(X1,X2,X3,X4))
| X3 = vapp(esk44_4(X1,X2,X3,X4),esk47_4(X1,X2,X3,X4))
| epred1_4(X4,X3,X2,X1)
| ~ epred2_4(X4,X3,X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_78]),
[final] ).
cnf(i_0_184,plain,
( esk57_4(X1,X2,X3,X4) = vgensym(vapp(vapp(esk54_4(X1,X2,X3,X4),esk58_4(X1,X2,X3,X4)),vvar(esk53_4(X1,X2,X3,X4))))
| X4 = vabs(esk50_4(X1,X2,X3,X4),esk51_4(X1,X2,X3,X4),esk52_4(X1,X2,X3,X4))
| X3 = vapp(esk44_4(X1,X2,X3,X4),esk47_4(X1,X2,X3,X4))
| epred1_4(X4,X3,X2,X1)
| ~ epred2_4(X4,X3,X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_78]),
[final] ).
cnf(i_0_185,plain,
( visFreeVar(esk56_4(X1,X2,X3,X4),esk54_4(X1,X2,X3,X4))
| X3 = vabs(esk50_4(X1,X2,X3,X4),esk51_4(X1,X2,X3,X4),esk52_4(X1,X2,X3,X4))
| X4 = vapp(vsubst(esk45_4(X1,X2,X3,X4),esk46_4(X1,X2,X3,X4),esk44_4(X1,X2,X3,X4)),vsubst(esk45_4(X1,X2,X3,X4),esk46_4(X1,X2,X3,X4),esk47_4(X1,X2,X3,X4)))
| epred1_4(X4,X3,X2,X1)
| ~ epred2_4(X4,X3,X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_78]),
[final] ).
cnf(i_0_186,plain,
( visFreeVar(esk56_4(X1,X2,X3,X4),esk54_4(X1,X2,X3,X4))
| X4 = vabs(esk50_4(X1,X2,X3,X4),esk51_4(X1,X2,X3,X4),esk52_4(X1,X2,X3,X4))
| X4 = vapp(vsubst(esk45_4(X1,X2,X3,X4),esk46_4(X1,X2,X3,X4),esk44_4(X1,X2,X3,X4)),vsubst(esk45_4(X1,X2,X3,X4),esk46_4(X1,X2,X3,X4),esk47_4(X1,X2,X3,X4)))
| epred1_4(X4,X3,X2,X1)
| ~ epred2_4(X4,X3,X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_78]),
[final] ).
cnf(i_0_187,plain,
( X3 = vabs(esk50_4(X1,X2,X3,X4),esk51_4(X1,X2,X3,X4),esk52_4(X1,X2,X3,X4))
| X4 = vapp(vsubst(esk45_4(X1,X2,X3,X4),esk46_4(X1,X2,X3,X4),esk44_4(X1,X2,X3,X4)),vsubst(esk45_4(X1,X2,X3,X4),esk46_4(X1,X2,X3,X4),esk47_4(X1,X2,X3,X4)))
| epred1_4(X4,X3,X2,X1)
| esk53_4(X1,X2,X3,X4) != esk56_4(X1,X2,X3,X4)
| ~ epred2_4(X4,X3,X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_78]),
[final] ).
cnf(i_0_188,plain,
( X4 = vabs(esk50_4(X1,X2,X3,X4),esk51_4(X1,X2,X3,X4),esk52_4(X1,X2,X3,X4))
| X4 = vapp(vsubst(esk45_4(X1,X2,X3,X4),esk46_4(X1,X2,X3,X4),esk44_4(X1,X2,X3,X4)),vsubst(esk45_4(X1,X2,X3,X4),esk46_4(X1,X2,X3,X4),esk47_4(X1,X2,X3,X4)))
| epred1_4(X4,X3,X2,X1)
| esk53_4(X1,X2,X3,X4) != esk56_4(X1,X2,X3,X4)
| ~ epred2_4(X4,X3,X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_78]),
[final] ).
cnf(i_0_189,plain,
( X1 = vabs(esk56_4(X2,X3,X1,X4),esk55_4(X2,X3,X1,X4),esk58_4(X2,X3,X1,X4))
| esk49_4(X2,X3,X1,X4) = esk50_4(X2,X3,X1,X4)
| X4 = vapp(vsubst(esk45_4(X2,X3,X1,X4),esk46_4(X2,X3,X1,X4),esk44_4(X2,X3,X1,X4)),vsubst(esk45_4(X2,X3,X1,X4),esk46_4(X2,X3,X1,X4),esk47_4(X2,X3,X1,X4)))
| epred1_4(X4,X1,X3,X2)
| ~ epred2_4(X4,X1,X3,X2) ),
inference(split_conjunct,[status(thm)],[i_0_78]),
[final] ).
cnf(i_0_190,plain,
( esk57_4(X1,X2,X3,X4) = vgensym(vapp(vapp(esk54_4(X1,X2,X3,X4),esk58_4(X1,X2,X3,X4)),vvar(esk53_4(X1,X2,X3,X4))))
| X3 = vabs(esk50_4(X1,X2,X3,X4),esk51_4(X1,X2,X3,X4),esk52_4(X1,X2,X3,X4))
| X1 = esk45_4(X1,X2,X3,X4)
| epred1_4(X4,X3,X2,X1)
| ~ epred2_4(X4,X3,X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_78]),
[final] ).
cnf(i_0_191,plain,
( esk57_4(X1,X2,X3,X4) = vgensym(vapp(vapp(esk54_4(X1,X2,X3,X4),esk58_4(X1,X2,X3,X4)),vvar(esk53_4(X1,X2,X3,X4))))
| X4 = vabs(esk50_4(X1,X2,X3,X4),esk51_4(X1,X2,X3,X4),esk52_4(X1,X2,X3,X4))
| X1 = esk45_4(X1,X2,X3,X4)
| epred1_4(X4,X3,X2,X1)
| ~ epred2_4(X4,X3,X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_78]),
[final] ).
cnf(i_0_192,plain,
( esk57_4(X1,X2,X3,X4) = vgensym(vapp(vapp(esk54_4(X1,X2,X3,X4),esk58_4(X1,X2,X3,X4)),vvar(esk53_4(X1,X2,X3,X4))))
| X3 = vabs(esk50_4(X1,X2,X3,X4),esk51_4(X1,X2,X3,X4),esk52_4(X1,X2,X3,X4))
| X2 = esk46_4(X1,X2,X3,X4)
| epred1_4(X4,X3,X2,X1)
| ~ epred2_4(X4,X3,X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_78]),
[final] ).
cnf(i_0_193,plain,
( esk57_4(X1,X2,X3,X4) = vgensym(vapp(vapp(esk54_4(X1,X2,X3,X4),esk58_4(X1,X2,X3,X4)),vvar(esk53_4(X1,X2,X3,X4))))
| X4 = vabs(esk50_4(X1,X2,X3,X4),esk51_4(X1,X2,X3,X4),esk52_4(X1,X2,X3,X4))
| X2 = esk46_4(X1,X2,X3,X4)
| epred1_4(X4,X3,X2,X1)
| ~ epred2_4(X4,X3,X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_78]),
[final] ).
cnf(i_0_194,plain,
( X1 = esk54_4(X2,X1,X3,X4)
| X3 = vabs(esk50_4(X2,X1,X3,X4),esk51_4(X2,X1,X3,X4),esk52_4(X2,X1,X3,X4))
| X4 = vapp(vsubst(esk45_4(X2,X1,X3,X4),esk46_4(X2,X1,X3,X4),esk44_4(X2,X1,X3,X4)),vsubst(esk45_4(X2,X1,X3,X4),esk46_4(X2,X1,X3,X4),esk47_4(X2,X1,X3,X4)))
| epred1_4(X4,X3,X1,X2)
| ~ epred2_4(X4,X3,X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_78]),
[final] ).
cnf(i_0_195,plain,
( X1 = esk54_4(X2,X1,X3,X4)
| X4 = vabs(esk50_4(X2,X1,X3,X4),esk51_4(X2,X1,X3,X4),esk52_4(X2,X1,X3,X4))
| X4 = vapp(vsubst(esk45_4(X2,X1,X3,X4),esk46_4(X2,X1,X3,X4),esk44_4(X2,X1,X3,X4)),vsubst(esk45_4(X2,X1,X3,X4),esk46_4(X2,X1,X3,X4),esk47_4(X2,X1,X3,X4)))
| epred1_4(X4,X3,X1,X2)
| ~ epred2_4(X4,X3,X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_78]),
[final] ).
cnf(i_0_196,plain,
( X1 = esk53_4(X1,X2,X3,X4)
| X3 = vabs(esk50_4(X1,X2,X3,X4),esk51_4(X1,X2,X3,X4),esk52_4(X1,X2,X3,X4))
| X4 = vapp(vsubst(esk45_4(X1,X2,X3,X4),esk46_4(X1,X2,X3,X4),esk44_4(X1,X2,X3,X4)),vsubst(esk45_4(X1,X2,X3,X4),esk46_4(X1,X2,X3,X4),esk47_4(X1,X2,X3,X4)))
| epred1_4(X4,X3,X2,X1)
| ~ epred2_4(X4,X3,X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_78]),
[final] ).
cnf(i_0_197,plain,
( X1 = esk53_4(X1,X2,X3,X4)
| X4 = vabs(esk50_4(X1,X2,X3,X4),esk51_4(X1,X2,X3,X4),esk52_4(X1,X2,X3,X4))
| X4 = vapp(vsubst(esk45_4(X1,X2,X3,X4),esk46_4(X1,X2,X3,X4),esk44_4(X1,X2,X3,X4)),vsubst(esk45_4(X1,X2,X3,X4),esk46_4(X1,X2,X3,X4),esk47_4(X1,X2,X3,X4)))
| epred1_4(X4,X3,X2,X1)
| ~ epred2_4(X4,X3,X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_78]),
[final] ).
cnf(i_0_198,plain,
( X1 = vabs(esk56_4(X2,X3,X1,X4),esk55_4(X2,X3,X1,X4),esk58_4(X2,X3,X1,X4))
| X2 = esk49_4(X2,X3,X1,X4)
| X4 = vapp(vsubst(esk45_4(X2,X3,X1,X4),esk46_4(X2,X3,X1,X4),esk44_4(X2,X3,X1,X4)),vsubst(esk45_4(X2,X3,X1,X4),esk46_4(X2,X3,X1,X4),esk47_4(X2,X3,X1,X4)))
| epred1_4(X4,X1,X3,X2)
| ~ epred2_4(X4,X1,X3,X2) ),
inference(split_conjunct,[status(thm)],[i_0_78]),
[final] ).
cnf(i_0_199,plain,
( X1 = vabs(esk56_4(X2,X3,X1,X4),esk55_4(X2,X3,X1,X4),esk58_4(X2,X3,X1,X4))
| X3 = esk48_4(X2,X3,X1,X4)
| X4 = vapp(vsubst(esk45_4(X2,X3,X1,X4),esk46_4(X2,X3,X1,X4),esk44_4(X2,X3,X1,X4)),vsubst(esk45_4(X2,X3,X1,X4),esk46_4(X2,X3,X1,X4),esk47_4(X2,X3,X1,X4)))
| epred1_4(X4,X1,X3,X2)
| ~ epred2_4(X4,X1,X3,X2) ),
inference(split_conjunct,[status(thm)],[i_0_78]),
[final] ).
cnf(i_0_200,plain,
( esk57_4(X1,X2,X3,X4) = vgensym(vapp(vapp(esk54_4(X1,X2,X3,X4),esk58_4(X1,X2,X3,X4)),vvar(esk53_4(X1,X2,X3,X4))))
| esk49_4(X1,X2,X3,X4) = esk50_4(X1,X2,X3,X4)
| X3 = vapp(esk44_4(X1,X2,X3,X4),esk47_4(X1,X2,X3,X4))
| epred1_4(X4,X3,X2,X1)
| ~ epred2_4(X4,X3,X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_78]),
[final] ).
cnf(i_0_201,plain,
( visFreeVar(esk56_4(X1,X2,X3,X4),esk54_4(X1,X2,X3,X4))
| esk49_4(X1,X2,X3,X4) = esk50_4(X1,X2,X3,X4)
| X4 = vapp(vsubst(esk45_4(X1,X2,X3,X4),esk46_4(X1,X2,X3,X4),esk44_4(X1,X2,X3,X4)),vsubst(esk45_4(X1,X2,X3,X4),esk46_4(X1,X2,X3,X4),esk47_4(X1,X2,X3,X4)))
| epred1_4(X4,X3,X2,X1)
| ~ epred2_4(X4,X3,X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_78]),
[final] ).
cnf(i_0_202,plain,
( esk57_4(X1,X2,X3,X4) = vgensym(vapp(vapp(esk54_4(X1,X2,X3,X4),esk58_4(X1,X2,X3,X4)),vvar(esk53_4(X1,X2,X3,X4))))
| X1 = esk49_4(X1,X2,X3,X4)
| X3 = vapp(esk44_4(X1,X2,X3,X4),esk47_4(X1,X2,X3,X4))
| epred1_4(X4,X3,X2,X1)
| ~ epred2_4(X4,X3,X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_78]),
[final] ).
cnf(i_0_203,plain,
( esk57_4(X1,X2,X3,X4) = vgensym(vapp(vapp(esk54_4(X1,X2,X3,X4),esk58_4(X1,X2,X3,X4)),vvar(esk53_4(X1,X2,X3,X4))))
| X2 = esk48_4(X1,X2,X3,X4)
| X3 = vapp(esk44_4(X1,X2,X3,X4),esk47_4(X1,X2,X3,X4))
| epred1_4(X4,X3,X2,X1)
| ~ epred2_4(X4,X3,X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_78]),
[final] ).
cnf(i_0_204,plain,
( esk49_4(X1,X2,X3,X4) = esk50_4(X1,X2,X3,X4)
| X4 = vapp(vsubst(esk45_4(X1,X2,X3,X4),esk46_4(X1,X2,X3,X4),esk44_4(X1,X2,X3,X4)),vsubst(esk45_4(X1,X2,X3,X4),esk46_4(X1,X2,X3,X4),esk47_4(X1,X2,X3,X4)))
| epred1_4(X4,X3,X2,X1)
| esk53_4(X1,X2,X3,X4) != esk56_4(X1,X2,X3,X4)
| ~ epred2_4(X4,X3,X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_78]),
[final] ).
cnf(i_0_205,plain,
( visFreeVar(esk56_4(X1,X2,X3,X4),esk54_4(X1,X2,X3,X4))
| X1 = esk49_4(X1,X2,X3,X4)
| X4 = vapp(vsubst(esk45_4(X1,X2,X3,X4),esk46_4(X1,X2,X3,X4),esk44_4(X1,X2,X3,X4)),vsubst(esk45_4(X1,X2,X3,X4),esk46_4(X1,X2,X3,X4),esk47_4(X1,X2,X3,X4)))
| epred1_4(X4,X3,X2,X1)
| ~ epred2_4(X4,X3,X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_78]),
[final] ).
cnf(i_0_206,plain,
( visFreeVar(esk56_4(X1,X2,X3,X4),esk54_4(X1,X2,X3,X4))
| X2 = esk48_4(X1,X2,X3,X4)
| X4 = vapp(vsubst(esk45_4(X1,X2,X3,X4),esk46_4(X1,X2,X3,X4),esk44_4(X1,X2,X3,X4)),vsubst(esk45_4(X1,X2,X3,X4),esk46_4(X1,X2,X3,X4),esk47_4(X1,X2,X3,X4)))
| epred1_4(X4,X3,X2,X1)
| ~ epred2_4(X4,X3,X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_78]),
[final] ).
cnf(i_0_207,plain,
( X1 = esk49_4(X1,X2,X3,X4)
| X4 = vapp(vsubst(esk45_4(X1,X2,X3,X4),esk46_4(X1,X2,X3,X4),esk44_4(X1,X2,X3,X4)),vsubst(esk45_4(X1,X2,X3,X4),esk46_4(X1,X2,X3,X4),esk47_4(X1,X2,X3,X4)))
| epred1_4(X4,X3,X2,X1)
| esk53_4(X1,X2,X3,X4) != esk56_4(X1,X2,X3,X4)
| ~ epred2_4(X4,X3,X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_78]),
[final] ).
cnf(i_0_208,plain,
( X2 = esk48_4(X1,X2,X3,X4)
| X4 = vapp(vsubst(esk45_4(X1,X2,X3,X4),esk46_4(X1,X2,X3,X4),esk44_4(X1,X2,X3,X4)),vsubst(esk45_4(X1,X2,X3,X4),esk46_4(X1,X2,X3,X4),esk47_4(X1,X2,X3,X4)))
| epred1_4(X4,X3,X2,X1)
| esk53_4(X1,X2,X3,X4) != esk56_4(X1,X2,X3,X4)
| ~ epred2_4(X4,X3,X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_78]),
[final] ).
cnf(i_0_209,plain,
( esk57_4(X1,X2,X3,X4) = vgensym(vapp(vapp(esk54_4(X1,X2,X3,X4),esk58_4(X1,X2,X3,X4)),vvar(esk53_4(X1,X2,X3,X4))))
| esk49_4(X1,X2,X3,X4) = esk50_4(X1,X2,X3,X4)
| X1 = esk45_4(X1,X2,X3,X4)
| epred1_4(X4,X3,X2,X1)
| ~ epred2_4(X4,X3,X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_78]),
[final] ).
cnf(i_0_210,plain,
( esk57_4(X1,X2,X3,X4) = vgensym(vapp(vapp(esk54_4(X1,X2,X3,X4),esk58_4(X1,X2,X3,X4)),vvar(esk53_4(X1,X2,X3,X4))))
| esk49_4(X1,X2,X3,X4) = esk50_4(X1,X2,X3,X4)
| X2 = esk46_4(X1,X2,X3,X4)
| epred1_4(X4,X3,X2,X1)
| ~ epred2_4(X4,X3,X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_78]),
[final] ).
cnf(i_0_211,plain,
( X1 = esk54_4(X2,X1,X3,X4)
| esk49_4(X2,X1,X3,X4) = esk50_4(X2,X1,X3,X4)
| X4 = vapp(vsubst(esk45_4(X2,X1,X3,X4),esk46_4(X2,X1,X3,X4),esk44_4(X2,X1,X3,X4)),vsubst(esk45_4(X2,X1,X3,X4),esk46_4(X2,X1,X3,X4),esk47_4(X2,X1,X3,X4)))
| epred1_4(X4,X3,X1,X2)
| ~ epred2_4(X4,X3,X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_78]),
[final] ).
cnf(i_0_212,plain,
( X1 = esk53_4(X1,X2,X3,X4)
| esk49_4(X1,X2,X3,X4) = esk50_4(X1,X2,X3,X4)
| X4 = vapp(vsubst(esk45_4(X1,X2,X3,X4),esk46_4(X1,X2,X3,X4),esk44_4(X1,X2,X3,X4)),vsubst(esk45_4(X1,X2,X3,X4),esk46_4(X1,X2,X3,X4),esk47_4(X1,X2,X3,X4)))
| epred1_4(X4,X3,X2,X1)
| ~ epred2_4(X4,X3,X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_78]),
[final] ).
cnf(i_0_213,plain,
( esk57_4(X1,X2,X3,X4) = vgensym(vapp(vapp(esk54_4(X1,X2,X3,X4),esk58_4(X1,X2,X3,X4)),vvar(esk53_4(X1,X2,X3,X4))))
| X1 = esk49_4(X1,X2,X3,X4)
| X1 = esk45_4(X1,X2,X3,X4)
| epred1_4(X4,X3,X2,X1)
| ~ epred2_4(X4,X3,X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_78]),
[final] ).
cnf(i_0_214,plain,
( esk57_4(X1,X2,X3,X4) = vgensym(vapp(vapp(esk54_4(X1,X2,X3,X4),esk58_4(X1,X2,X3,X4)),vvar(esk53_4(X1,X2,X3,X4))))
| X2 = esk48_4(X1,X2,X3,X4)
| X1 = esk45_4(X1,X2,X3,X4)
| epred1_4(X4,X3,X2,X1)
| ~ epred2_4(X4,X3,X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_78]),
[final] ).
cnf(i_0_215,plain,
( esk57_4(X1,X2,X3,X4) = vgensym(vapp(vapp(esk54_4(X1,X2,X3,X4),esk58_4(X1,X2,X3,X4)),vvar(esk53_4(X1,X2,X3,X4))))
| X1 = esk49_4(X1,X2,X3,X4)
| X2 = esk46_4(X1,X2,X3,X4)
| epred1_4(X4,X3,X2,X1)
| ~ epred2_4(X4,X3,X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_78]),
[final] ).
cnf(i_0_216,plain,
( esk57_4(X1,X2,X3,X4) = vgensym(vapp(vapp(esk54_4(X1,X2,X3,X4),esk58_4(X1,X2,X3,X4)),vvar(esk53_4(X1,X2,X3,X4))))
| X2 = esk48_4(X1,X2,X3,X4)
| X2 = esk46_4(X1,X2,X3,X4)
| epred1_4(X4,X3,X2,X1)
| ~ epred2_4(X4,X3,X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_78]),
[final] ).
cnf(i_0_217,plain,
( X2 = vabs(esk15_5(X2,X1,X4,X5,X3),esk16_5(X2,X1,X4,X5,X3),esk17_5(X2,X1,X4,X5,X3))
| X4 = vsomeExp(vapp(vgetSomeExp(X5),X3))
| X1 != vapp(X2,X3)
| X5 != vreduce(X2)
| ~ visSomeExp(X5)
| X4 != vreduce(X1) ),
inference(split_conjunct,[status(thm)],[i_0_79]),
[final] ).
cnf(i_0_218,plain,
( X1 = esk53_4(X1,X2,X3,X4)
| X1 = esk49_4(X1,X2,X3,X4)
| X4 = vapp(vsubst(esk45_4(X1,X2,X3,X4),esk46_4(X1,X2,X3,X4),esk44_4(X1,X2,X3,X4)),vsubst(esk45_4(X1,X2,X3,X4),esk46_4(X1,X2,X3,X4),esk47_4(X1,X2,X3,X4)))
| epred1_4(X4,X3,X2,X1)
| ~ epred2_4(X4,X3,X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_78]),
[final] ).
cnf(i_0_219,plain,
( X1 = esk54_4(X2,X1,X3,X4)
| X1 = esk48_4(X2,X1,X3,X4)
| X4 = vapp(vsubst(esk45_4(X2,X1,X3,X4),esk46_4(X2,X1,X3,X4),esk44_4(X2,X1,X3,X4)),vsubst(esk45_4(X2,X1,X3,X4),esk46_4(X2,X1,X3,X4),esk47_4(X2,X1,X3,X4)))
| epred1_4(X4,X3,X1,X2)
| ~ epred2_4(X4,X3,X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_78]),
[final] ).
cnf(i_0_220,plain,
( X1 = esk54_4(X2,X1,X3,X4)
| X2 = esk49_4(X2,X1,X3,X4)
| X4 = vapp(vsubst(esk45_4(X2,X1,X3,X4),esk46_4(X2,X1,X3,X4),esk44_4(X2,X1,X3,X4)),vsubst(esk45_4(X2,X1,X3,X4),esk46_4(X2,X1,X3,X4),esk47_4(X2,X1,X3,X4)))
| epred1_4(X4,X3,X1,X2)
| ~ epred2_4(X4,X3,X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_78]),
[final] ).
cnf(i_0_221,plain,
( X1 = esk53_4(X1,X2,X3,X4)
| X2 = esk48_4(X1,X2,X3,X4)
| X4 = vapp(vsubst(esk45_4(X1,X2,X3,X4),esk46_4(X1,X2,X3,X4),esk44_4(X1,X2,X3,X4)),vsubst(esk45_4(X1,X2,X3,X4),esk46_4(X1,X2,X3,X4),esk47_4(X1,X2,X3,X4)))
| epred1_4(X4,X3,X2,X1)
| ~ epred2_4(X4,X3,X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_78]),
[final] ).
cnf(i_0_222,plain,
( X1 = vabs(esk56_4(X2,X3,X1,X4),esk55_4(X2,X3,X1,X4),esk58_4(X2,X3,X1,X4))
| X1 = vabs(esk50_4(X2,X3,X1,X4),esk51_4(X2,X3,X1,X4),esk52_4(X2,X3,X1,X4))
| X1 = vapp(esk44_4(X2,X3,X1,X4),esk47_4(X2,X3,X1,X4))
| epred1_4(X4,X1,X3,X2)
| ~ epred2_4(X4,X1,X3,X2) ),
inference(split_conjunct,[status(thm)],[i_0_78]),
[final] ).
cnf(i_0_223,plain,
( X1 = vabs(esk56_4(X2,X3,X1,X4),esk55_4(X2,X3,X1,X4),esk58_4(X2,X3,X1,X4))
| X4 = vabs(esk50_4(X2,X3,X1,X4),esk51_4(X2,X3,X1,X4),esk52_4(X2,X3,X1,X4))
| X1 = vapp(esk44_4(X2,X3,X1,X4),esk47_4(X2,X3,X1,X4))
| epred1_4(X4,X1,X3,X2)
| ~ epred2_4(X4,X1,X3,X2) ),
inference(split_conjunct,[status(thm)],[i_0_78]),
[final] ).
cnf(i_0_224,plain,
( X1 = vabs(esk10_4(X2,X3,X4,X1),esk11_4(X2,X3,X4,X1),vsubst(esk12_4(X2,X3,X4,X1),esk13_4(X2,X3,X4,X1),esk14_4(X2,X3,X4,X1)))
| epred2_4(X1,X4,X3,X2)
| vsubst(X2,X3,X4) != X1 ),
inference(split_conjunct,[status(thm)],[i_0_80]),
[final] ).
cnf(i_0_225,plain,
( visFreeVar(esk56_4(X1,X2,X3,X4),esk54_4(X1,X2,X3,X4))
| X3 = vabs(esk50_4(X1,X2,X3,X4),esk51_4(X1,X2,X3,X4),esk52_4(X1,X2,X3,X4))
| X3 = vapp(esk44_4(X1,X2,X3,X4),esk47_4(X1,X2,X3,X4))
| epred1_4(X4,X3,X2,X1)
| ~ epred2_4(X4,X3,X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_78]),
[final] ).
cnf(i_0_226,plain,
( visFreeVar(esk56_4(X1,X2,X3,X4),esk54_4(X1,X2,X3,X4))
| X4 = vabs(esk50_4(X1,X2,X3,X4),esk51_4(X1,X2,X3,X4),esk52_4(X1,X2,X3,X4))
| X3 = vapp(esk44_4(X1,X2,X3,X4),esk47_4(X1,X2,X3,X4))
| epred1_4(X4,X3,X2,X1)
| ~ epred2_4(X4,X3,X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_78]),
[final] ).
cnf(i_0_227,plain,
( X1 = vabs(esk56_4(X2,X3,X1,X4),esk55_4(X2,X3,X1,X4),esk58_4(X2,X3,X1,X4))
| X1 = vabs(esk50_4(X2,X3,X1,X4),esk51_4(X2,X3,X1,X4),esk52_4(X2,X3,X1,X4))
| X2 = esk45_4(X2,X3,X1,X4)
| epred1_4(X4,X1,X3,X2)
| ~ epred2_4(X4,X1,X3,X2) ),
inference(split_conjunct,[status(thm)],[i_0_78]),
[final] ).
cnf(i_0_228,plain,
( X1 = vabs(esk56_4(X2,X3,X1,X4),esk55_4(X2,X3,X1,X4),esk58_4(X2,X3,X1,X4))
| X4 = vabs(esk50_4(X2,X3,X1,X4),esk51_4(X2,X3,X1,X4),esk52_4(X2,X3,X1,X4))
| X2 = esk45_4(X2,X3,X1,X4)
| epred1_4(X4,X1,X3,X2)
| ~ epred2_4(X4,X1,X3,X2) ),
inference(split_conjunct,[status(thm)],[i_0_78]),
[final] ).
cnf(i_0_229,plain,
( X1 = vabs(esk56_4(X2,X3,X1,X4),esk55_4(X2,X3,X1,X4),esk58_4(X2,X3,X1,X4))
| X1 = vabs(esk50_4(X2,X3,X1,X4),esk51_4(X2,X3,X1,X4),esk52_4(X2,X3,X1,X4))
| X3 = esk46_4(X2,X3,X1,X4)
| epred1_4(X4,X1,X3,X2)
| ~ epred2_4(X4,X1,X3,X2) ),
inference(split_conjunct,[status(thm)],[i_0_78]),
[final] ).
cnf(i_0_230,plain,
( X1 = vabs(esk56_4(X2,X3,X1,X4),esk55_4(X2,X3,X1,X4),esk58_4(X2,X3,X1,X4))
| X4 = vabs(esk50_4(X2,X3,X1,X4),esk51_4(X2,X3,X1,X4),esk52_4(X2,X3,X1,X4))
| X3 = esk46_4(X2,X3,X1,X4)
| epred1_4(X4,X1,X3,X2)
| ~ epred2_4(X4,X1,X3,X2) ),
inference(split_conjunct,[status(thm)],[i_0_78]),
[final] ).
cnf(i_0_231,plain,
( X3 = vabs(esk50_4(X1,X2,X3,X4),esk51_4(X1,X2,X3,X4),esk52_4(X1,X2,X3,X4))
| X3 = vapp(esk44_4(X1,X2,X3,X4),esk47_4(X1,X2,X3,X4))
| epred1_4(X4,X3,X2,X1)
| esk53_4(X1,X2,X3,X4) != esk56_4(X1,X2,X3,X4)
| ~ epred2_4(X4,X3,X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_78]),
[final] ).
cnf(i_0_232,plain,
( X4 = vabs(esk50_4(X1,X2,X3,X4),esk51_4(X1,X2,X3,X4),esk52_4(X1,X2,X3,X4))
| X3 = vapp(esk44_4(X1,X2,X3,X4),esk47_4(X1,X2,X3,X4))
| epred1_4(X4,X3,X2,X1)
| esk53_4(X1,X2,X3,X4) != esk56_4(X1,X2,X3,X4)
| ~ epred2_4(X4,X3,X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_78]),
[final] ).
cnf(i_0_233,plain,
( X1 = vabs(esk56_4(X2,X3,X1,X4),esk55_4(X2,X3,X1,X4),esk58_4(X2,X3,X1,X4))
| esk49_4(X2,X3,X1,X4) = esk50_4(X2,X3,X1,X4)
| X1 = vapp(esk44_4(X2,X3,X1,X4),esk47_4(X2,X3,X1,X4))
| epred1_4(X4,X1,X3,X2)
| ~ epred2_4(X4,X1,X3,X2) ),
inference(split_conjunct,[status(thm)],[i_0_78]),
[final] ).
cnf(i_0_234,plain,
( X1 = esk54_4(X2,X1,X3,X4)
| X3 = vabs(esk50_4(X2,X1,X3,X4),esk51_4(X2,X1,X3,X4),esk52_4(X2,X1,X3,X4))
| X3 = vapp(esk44_4(X2,X1,X3,X4),esk47_4(X2,X1,X3,X4))
| epred1_4(X4,X3,X1,X2)
| ~ epred2_4(X4,X3,X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_78]),
[final] ).
cnf(i_0_235,plain,
( X1 = esk54_4(X2,X1,X3,X4)
| X4 = vabs(esk50_4(X2,X1,X3,X4),esk51_4(X2,X1,X3,X4),esk52_4(X2,X1,X3,X4))
| X3 = vapp(esk44_4(X2,X1,X3,X4),esk47_4(X2,X1,X3,X4))
| epred1_4(X4,X3,X1,X2)
| ~ epred2_4(X4,X3,X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_78]),
[final] ).
cnf(i_0_236,plain,
( X1 = esk53_4(X1,X2,X3,X4)
| X3 = vabs(esk50_4(X1,X2,X3,X4),esk51_4(X1,X2,X3,X4),esk52_4(X1,X2,X3,X4))
| X3 = vapp(esk44_4(X1,X2,X3,X4),esk47_4(X1,X2,X3,X4))
| epred1_4(X4,X3,X2,X1)
| ~ epred2_4(X4,X3,X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_78]),
[final] ).
cnf(i_0_237,plain,
( X1 = esk53_4(X1,X2,X3,X4)
| X4 = vabs(esk50_4(X1,X2,X3,X4),esk51_4(X1,X2,X3,X4),esk52_4(X1,X2,X3,X4))
| X3 = vapp(esk44_4(X1,X2,X3,X4),esk47_4(X1,X2,X3,X4))
| epred1_4(X4,X3,X2,X1)
| ~ epred2_4(X4,X3,X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_78]),
[final] ).
cnf(i_0_238,plain,
( X1 = vabs(esk56_4(X2,X3,X1,X4),esk55_4(X2,X3,X1,X4),esk58_4(X2,X3,X1,X4))
| X2 = esk49_4(X2,X3,X1,X4)
| X1 = vapp(esk44_4(X2,X3,X1,X4),esk47_4(X2,X3,X1,X4))
| epred1_4(X4,X1,X3,X2)
| ~ epred2_4(X4,X1,X3,X2) ),
inference(split_conjunct,[status(thm)],[i_0_78]),
[final] ).
cnf(i_0_239,plain,
( X1 = vabs(esk56_4(X2,X3,X1,X4),esk55_4(X2,X3,X1,X4),esk58_4(X2,X3,X1,X4))
| X3 = esk48_4(X2,X3,X1,X4)
| X1 = vapp(esk44_4(X2,X3,X1,X4),esk47_4(X2,X3,X1,X4))
| epred1_4(X4,X1,X3,X2)
| ~ epred2_4(X4,X1,X3,X2) ),
inference(split_conjunct,[status(thm)],[i_0_78]),
[final] ).
cnf(i_0_240,plain,
( visFreeVar(esk56_4(X1,X2,X3,X4),esk54_4(X1,X2,X3,X4))
| X3 = vabs(esk50_4(X1,X2,X3,X4),esk51_4(X1,X2,X3,X4),esk52_4(X1,X2,X3,X4))
| X1 = esk45_4(X1,X2,X3,X4)
| epred1_4(X4,X3,X2,X1)
| ~ epred2_4(X4,X3,X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_78]),
[final] ).
cnf(i_0_241,plain,
( visFreeVar(esk56_4(X1,X2,X3,X4),esk54_4(X1,X2,X3,X4))
| X4 = vabs(esk50_4(X1,X2,X3,X4),esk51_4(X1,X2,X3,X4),esk52_4(X1,X2,X3,X4))
| X1 = esk45_4(X1,X2,X3,X4)
| epred1_4(X4,X3,X2,X1)
| ~ epred2_4(X4,X3,X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_78]),
[final] ).
cnf(i_0_242,plain,
( visFreeVar(esk56_4(X1,X2,X3,X4),esk54_4(X1,X2,X3,X4))
| X3 = vabs(esk50_4(X1,X2,X3,X4),esk51_4(X1,X2,X3,X4),esk52_4(X1,X2,X3,X4))
| X2 = esk46_4(X1,X2,X3,X4)
| epred1_4(X4,X3,X2,X1)
| ~ epred2_4(X4,X3,X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_78]),
[final] ).
cnf(i_0_243,plain,
( visFreeVar(esk56_4(X1,X2,X3,X4),esk54_4(X1,X2,X3,X4))
| X4 = vabs(esk50_4(X1,X2,X3,X4),esk51_4(X1,X2,X3,X4),esk52_4(X1,X2,X3,X4))
| X2 = esk46_4(X1,X2,X3,X4)
| epred1_4(X4,X3,X2,X1)
| ~ epred2_4(X4,X3,X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_78]),
[final] ).
cnf(i_0_244,plain,
( X3 = vabs(esk50_4(X1,X2,X3,X4),esk51_4(X1,X2,X3,X4),esk52_4(X1,X2,X3,X4))
| X1 = esk45_4(X1,X2,X3,X4)
| epred1_4(X4,X3,X2,X1)
| esk53_4(X1,X2,X3,X4) != esk56_4(X1,X2,X3,X4)
| ~ epred2_4(X4,X3,X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_78]),
[final] ).
cnf(i_0_245,plain,
( X4 = vabs(esk50_4(X1,X2,X3,X4),esk51_4(X1,X2,X3,X4),esk52_4(X1,X2,X3,X4))
| X1 = esk45_4(X1,X2,X3,X4)
| epred1_4(X4,X3,X2,X1)
| esk53_4(X1,X2,X3,X4) != esk56_4(X1,X2,X3,X4)
| ~ epred2_4(X4,X3,X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_78]),
[final] ).
cnf(i_0_246,plain,
( X3 = vabs(esk50_4(X1,X2,X3,X4),esk51_4(X1,X2,X3,X4),esk52_4(X1,X2,X3,X4))
| X2 = esk46_4(X1,X2,X3,X4)
| epred1_4(X4,X3,X2,X1)
| esk53_4(X1,X2,X3,X4) != esk56_4(X1,X2,X3,X4)
| ~ epred2_4(X4,X3,X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_78]),
[final] ).
cnf(i_0_247,plain,
( X4 = vabs(esk50_4(X1,X2,X3,X4),esk51_4(X1,X2,X3,X4),esk52_4(X1,X2,X3,X4))
| X2 = esk46_4(X1,X2,X3,X4)
| epred1_4(X4,X3,X2,X1)
| esk53_4(X1,X2,X3,X4) != esk56_4(X1,X2,X3,X4)
| ~ epred2_4(X4,X3,X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_78]),
[final] ).
cnf(i_0_248,plain,
( visFreeVar(esk56_4(X1,X2,X3,X4),esk54_4(X1,X2,X3,X4))
| esk49_4(X1,X2,X3,X4) = esk50_4(X1,X2,X3,X4)
| X3 = vapp(esk44_4(X1,X2,X3,X4),esk47_4(X1,X2,X3,X4))
| epred1_4(X4,X3,X2,X1)
| ~ epred2_4(X4,X3,X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_78]),
[final] ).
cnf(i_0_249,plain,
( X1 = vabs(esk56_4(X2,X3,X1,X4),esk55_4(X2,X3,X1,X4),esk58_4(X2,X3,X1,X4))
| esk49_4(X2,X3,X1,X4) = esk50_4(X2,X3,X1,X4)
| X2 = esk45_4(X2,X3,X1,X4)
| epred1_4(X4,X1,X3,X2)
| ~ epred2_4(X4,X1,X3,X2) ),
inference(split_conjunct,[status(thm)],[i_0_78]),
[final] ).
cnf(i_0_250,plain,
( X1 = vabs(esk56_4(X2,X3,X1,X4),esk55_4(X2,X3,X1,X4),esk58_4(X2,X3,X1,X4))
| esk49_4(X2,X3,X1,X4) = esk50_4(X2,X3,X1,X4)
| X3 = esk46_4(X2,X3,X1,X4)
| epred1_4(X4,X1,X3,X2)
| ~ epred2_4(X4,X1,X3,X2) ),
inference(split_conjunct,[status(thm)],[i_0_78]),
[final] ).
cnf(i_0_251,plain,
( esk49_4(X1,X2,X3,X4) = esk50_4(X1,X2,X3,X4)
| X3 = vapp(esk44_4(X1,X2,X3,X4),esk47_4(X1,X2,X3,X4))
| epred1_4(X4,X3,X2,X1)
| esk53_4(X1,X2,X3,X4) != esk56_4(X1,X2,X3,X4)
| ~ epred2_4(X4,X3,X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_78]),
[final] ).
cnf(i_0_252,plain,
( visFreeVar(esk56_4(X1,X2,X3,X4),esk54_4(X1,X2,X3,X4))
| X1 = esk49_4(X1,X2,X3,X4)
| X3 = vapp(esk44_4(X1,X2,X3,X4),esk47_4(X1,X2,X3,X4))
| epred1_4(X4,X3,X2,X1)
| ~ epred2_4(X4,X3,X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_78]),
[final] ).
cnf(i_0_253,plain,
( visFreeVar(esk56_4(X1,X2,X3,X4),esk54_4(X1,X2,X3,X4))
| X2 = esk48_4(X1,X2,X3,X4)
| X3 = vapp(esk44_4(X1,X2,X3,X4),esk47_4(X1,X2,X3,X4))
| epred1_4(X4,X3,X2,X1)
| ~ epred2_4(X4,X3,X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_78]),
[final] ).
cnf(i_0_254,plain,
( X1 = esk54_4(X2,X1,X3,X4)
| X3 = vabs(esk50_4(X2,X1,X3,X4),esk51_4(X2,X1,X3,X4),esk52_4(X2,X1,X3,X4))
| X1 = esk46_4(X2,X1,X3,X4)
| epred1_4(X4,X3,X1,X2)
| ~ epred2_4(X4,X3,X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_78]),
[final] ).
cnf(i_0_255,plain,
( X1 = esk54_4(X2,X1,X3,X4)
| X4 = vabs(esk50_4(X2,X1,X3,X4),esk51_4(X2,X1,X3,X4),esk52_4(X2,X1,X3,X4))
| X1 = esk46_4(X2,X1,X3,X4)
| epred1_4(X4,X3,X1,X2)
| ~ epred2_4(X4,X3,X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_78]),
[final] ).
cnf(i_0_256,plain,
( X1 = esk53_4(X1,X2,X3,X4)
| X3 = vabs(esk50_4(X1,X2,X3,X4),esk51_4(X1,X2,X3,X4),esk52_4(X1,X2,X3,X4))
| X1 = esk45_4(X1,X2,X3,X4)
| epred1_4(X4,X3,X2,X1)
| ~ epred2_4(X4,X3,X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_78]),
[final] ).
cnf(i_0_257,plain,
( X1 = esk53_4(X1,X2,X3,X4)
| X4 = vabs(esk50_4(X1,X2,X3,X4),esk51_4(X1,X2,X3,X4),esk52_4(X1,X2,X3,X4))
| X1 = esk45_4(X1,X2,X3,X4)
| epred1_4(X4,X3,X2,X1)
| ~ epred2_4(X4,X3,X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_78]),
[final] ).
cnf(i_0_258,plain,
( X1 = esk53_4(X1,X2,X3,X4)
| X3 = vabs(esk50_4(X1,X2,X3,X4),esk51_4(X1,X2,X3,X4),esk52_4(X1,X2,X3,X4))
| X2 = esk46_4(X1,X2,X3,X4)
| epred1_4(X4,X3,X2,X1)
| ~ epred2_4(X4,X3,X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_78]),
[final] ).
cnf(i_0_259,plain,
( X1 = esk53_4(X1,X2,X3,X4)
| X4 = vabs(esk50_4(X1,X2,X3,X4),esk51_4(X1,X2,X3,X4),esk52_4(X1,X2,X3,X4))
| X2 = esk46_4(X1,X2,X3,X4)
| epred1_4(X4,X3,X2,X1)
| ~ epred2_4(X4,X3,X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_78]),
[final] ).
cnf(i_0_260,plain,
( X1 = esk54_4(X2,X1,X3,X4)
| X3 = vabs(esk50_4(X2,X1,X3,X4),esk51_4(X2,X1,X3,X4),esk52_4(X2,X1,X3,X4))
| X2 = esk45_4(X2,X1,X3,X4)
| epred1_4(X4,X3,X1,X2)
| ~ epred2_4(X4,X3,X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_78]),
[final] ).
cnf(i_0_261,plain,
( X1 = esk54_4(X2,X1,X3,X4)
| X4 = vabs(esk50_4(X2,X1,X3,X4),esk51_4(X2,X1,X3,X4),esk52_4(X2,X1,X3,X4))
| X2 = esk45_4(X2,X1,X3,X4)
| epred1_4(X4,X3,X1,X2)
| ~ epred2_4(X4,X3,X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_78]),
[final] ).
cnf(i_0_262,plain,
( X1 = vabs(esk56_4(X2,X3,X1,X4),esk55_4(X2,X3,X1,X4),esk58_4(X2,X3,X1,X4))
| X2 = esk49_4(X2,X3,X1,X4)
| X2 = esk45_4(X2,X3,X1,X4)
| epred1_4(X4,X1,X3,X2)
| ~ epred2_4(X4,X1,X3,X2) ),
inference(split_conjunct,[status(thm)],[i_0_78]),
[final] ).
cnf(i_0_263,plain,
( X1 = vabs(esk56_4(X2,X3,X1,X4),esk55_4(X2,X3,X1,X4),esk58_4(X2,X3,X1,X4))
| X3 = esk48_4(X2,X3,X1,X4)
| X2 = esk45_4(X2,X3,X1,X4)
| epred1_4(X4,X1,X3,X2)
| ~ epred2_4(X4,X1,X3,X2) ),
inference(split_conjunct,[status(thm)],[i_0_78]),
[final] ).
cnf(i_0_264,plain,
( X1 = vabs(esk56_4(X2,X3,X1,X4),esk55_4(X2,X3,X1,X4),esk58_4(X2,X3,X1,X4))
| X2 = esk49_4(X2,X3,X1,X4)
| X3 = esk46_4(X2,X3,X1,X4)
| epred1_4(X4,X1,X3,X2)
| ~ epred2_4(X4,X1,X3,X2) ),
inference(split_conjunct,[status(thm)],[i_0_78]),
[final] ).
cnf(i_0_265,plain,
( X1 = vabs(esk56_4(X2,X3,X1,X4),esk55_4(X2,X3,X1,X4),esk58_4(X2,X3,X1,X4))
| X3 = esk48_4(X2,X3,X1,X4)
| X3 = esk46_4(X2,X3,X1,X4)
| epred1_4(X4,X1,X3,X2)
| ~ epred2_4(X4,X1,X3,X2) ),
inference(split_conjunct,[status(thm)],[i_0_78]),
[final] ).
cnf(i_0_266,plain,
( X1 = esk49_4(X1,X2,X3,X4)
| X3 = vapp(esk44_4(X1,X2,X3,X4),esk47_4(X1,X2,X3,X4))
| epred1_4(X4,X3,X2,X1)
| esk53_4(X1,X2,X3,X4) != esk56_4(X1,X2,X3,X4)
| ~ epred2_4(X4,X3,X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_78]),
[final] ).
cnf(i_0_267,plain,
( X2 = esk48_4(X1,X2,X3,X4)
| X3 = vapp(esk44_4(X1,X2,X3,X4),esk47_4(X1,X2,X3,X4))
| epred1_4(X4,X3,X2,X1)
| esk53_4(X1,X2,X3,X4) != esk56_4(X1,X2,X3,X4)
| ~ epred2_4(X4,X3,X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_78]),
[final] ).
cnf(i_0_268,plain,
( X1 = esk54_4(X2,X1,X3,X4)
| esk49_4(X2,X1,X3,X4) = esk50_4(X2,X1,X3,X4)
| X3 = vapp(esk44_4(X2,X1,X3,X4),esk47_4(X2,X1,X3,X4))
| epred1_4(X4,X3,X1,X2)
| ~ epred2_4(X4,X3,X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_78]),
[final] ).
cnf(i_0_269,plain,
( X1 = esk53_4(X1,X2,X3,X4)
| esk49_4(X1,X2,X3,X4) = esk50_4(X1,X2,X3,X4)
| X3 = vapp(esk44_4(X1,X2,X3,X4),esk47_4(X1,X2,X3,X4))
| epred1_4(X4,X3,X2,X1)
| ~ epred2_4(X4,X3,X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_78]),
[final] ).
cnf(i_0_270,plain,
( visFreeVar(esk56_4(X1,X2,X3,X4),esk54_4(X1,X2,X3,X4))
| esk49_4(X1,X2,X3,X4) = esk50_4(X1,X2,X3,X4)
| X1 = esk45_4(X1,X2,X3,X4)
| epred1_4(X4,X3,X2,X1)
| ~ epred2_4(X4,X3,X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_78]),
[final] ).
cnf(i_0_271,plain,
( visFreeVar(esk56_4(X1,X2,X3,X4),esk54_4(X1,X2,X3,X4))
| esk49_4(X1,X2,X3,X4) = esk50_4(X1,X2,X3,X4)
| X2 = esk46_4(X1,X2,X3,X4)
| epred1_4(X4,X3,X2,X1)
| ~ epred2_4(X4,X3,X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_78]),
[final] ).
cnf(i_0_272,plain,
( esk49_4(X1,X2,X3,X4) = esk50_4(X1,X2,X3,X4)
| X1 = esk45_4(X1,X2,X3,X4)
| epred1_4(X4,X3,X2,X1)
| esk53_4(X1,X2,X3,X4) != esk56_4(X1,X2,X3,X4)
| ~ epred2_4(X4,X3,X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_78]),
[final] ).
cnf(i_0_273,plain,
( esk49_4(X1,X2,X3,X4) = esk50_4(X1,X2,X3,X4)
| X2 = esk46_4(X1,X2,X3,X4)
| epred1_4(X4,X3,X2,X1)
| esk53_4(X1,X2,X3,X4) != esk56_4(X1,X2,X3,X4)
| ~ epred2_4(X4,X3,X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_78]),
[final] ).
cnf(i_0_274,plain,
( X1 = esk53_4(X1,X2,X3,X4)
| X1 = esk49_4(X1,X2,X3,X4)
| X3 = vapp(esk44_4(X1,X2,X3,X4),esk47_4(X1,X2,X3,X4))
| epred1_4(X4,X3,X2,X1)
| ~ epred2_4(X4,X3,X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_78]),
[final] ).
cnf(i_0_275,plain,
( X1 = esk54_4(X2,X1,X3,X4)
| X1 = esk48_4(X2,X1,X3,X4)
| X3 = vapp(esk44_4(X2,X1,X3,X4),esk47_4(X2,X1,X3,X4))
| epred1_4(X4,X3,X1,X2)
| ~ epred2_4(X4,X3,X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_78]),
[final] ).
cnf(i_0_276,plain,
( X1 = esk54_4(X2,X1,X3,X4)
| X2 = esk49_4(X2,X1,X3,X4)
| X3 = vapp(esk44_4(X2,X1,X3,X4),esk47_4(X2,X1,X3,X4))
| epred1_4(X4,X3,X1,X2)
| ~ epred2_4(X4,X3,X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_78]),
[final] ).
cnf(i_0_277,plain,
( X1 = esk53_4(X1,X2,X3,X4)
| X2 = esk48_4(X1,X2,X3,X4)
| X3 = vapp(esk44_4(X1,X2,X3,X4),esk47_4(X1,X2,X3,X4))
| epred1_4(X4,X3,X2,X1)
| ~ epred2_4(X4,X3,X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_78]),
[final] ).
cnf(i_0_278,plain,
( visFreeVar(esk56_4(X1,X2,X3,X4),esk54_4(X1,X2,X3,X4))
| X1 = esk49_4(X1,X2,X3,X4)
| X1 = esk45_4(X1,X2,X3,X4)
| epred1_4(X4,X3,X2,X1)
| ~ epred2_4(X4,X3,X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_78]),
[final] ).
cnf(i_0_279,plain,
( visFreeVar(esk56_4(X1,X2,X3,X4),esk54_4(X1,X2,X3,X4))
| X2 = esk48_4(X1,X2,X3,X4)
| X1 = esk45_4(X1,X2,X3,X4)
| epred1_4(X4,X3,X2,X1)
| ~ epred2_4(X4,X3,X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_78]),
[final] ).
cnf(i_0_280,plain,
( visFreeVar(esk56_4(X1,X2,X3,X4),esk54_4(X1,X2,X3,X4))
| X1 = esk49_4(X1,X2,X3,X4)
| X2 = esk46_4(X1,X2,X3,X4)
| epred1_4(X4,X3,X2,X1)
| ~ epred2_4(X4,X3,X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_78]),
[final] ).
cnf(i_0_281,plain,
( visFreeVar(esk56_4(X1,X2,X3,X4),esk54_4(X1,X2,X3,X4))
| X2 = esk48_4(X1,X2,X3,X4)
| X2 = esk46_4(X1,X2,X3,X4)
| epred1_4(X4,X3,X2,X1)
| ~ epred2_4(X4,X3,X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_78]),
[final] ).
cnf(i_0_282,plain,
( X1 = esk49_4(X1,X2,X3,X4)
| X1 = esk45_4(X1,X2,X3,X4)
| epred1_4(X4,X3,X2,X1)
| esk53_4(X1,X2,X3,X4) != esk56_4(X1,X2,X3,X4)
| ~ epred2_4(X4,X3,X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_78]),
[final] ).
cnf(i_0_283,plain,
( X2 = esk48_4(X1,X2,X3,X4)
| X1 = esk45_4(X1,X2,X3,X4)
| epred1_4(X4,X3,X2,X1)
| esk53_4(X1,X2,X3,X4) != esk56_4(X1,X2,X3,X4)
| ~ epred2_4(X4,X3,X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_78]),
[final] ).
cnf(i_0_284,plain,
( X1 = esk49_4(X1,X2,X3,X4)
| X2 = esk46_4(X1,X2,X3,X4)
| epred1_4(X4,X3,X2,X1)
| esk53_4(X1,X2,X3,X4) != esk56_4(X1,X2,X3,X4)
| ~ epred2_4(X4,X3,X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_78]),
[final] ).
cnf(i_0_285,plain,
( X2 = esk48_4(X1,X2,X3,X4)
| X2 = esk46_4(X1,X2,X3,X4)
| epred1_4(X4,X3,X2,X1)
| esk53_4(X1,X2,X3,X4) != esk56_4(X1,X2,X3,X4)
| ~ epred2_4(X4,X3,X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_78]),
[final] ).
cnf(i_0_286,plain,
( epred2_4(X4,X3,X2,X1)
| ~ visFreeVar(esk10_4(X1,X2,X3,X4),esk13_4(X1,X2,X3,X4))
| vsubst(X1,X2,X3) != X4 ),
inference(split_conjunct,[status(thm)],[i_0_80]),
[final] ).
cnf(i_0_287,plain,
( X1 = vabs(esk10_4(X2,X3,X1,X4),esk11_4(X2,X3,X1,X4),esk14_4(X2,X3,X1,X4))
| epred2_4(X4,X1,X3,X2)
| vsubst(X2,X3,X1) != X4 ),
inference(split_conjunct,[status(thm)],[i_0_80]),
[final] ).
cnf(i_0_288,plain,
( X3 = vvar(esk39_4(X1,X2,X3,X4))
| esk42_4(X1,X2,X3,X4) != esk43_4(X1,X2,X3,X4)
| ~ epred1_4(X4,X3,X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_81]),
[final] ).
cnf(i_0_289,plain,
( esk38_4(X1,X2,X3,X4) = esk39_4(X1,X2,X3,X4)
| esk42_4(X1,X2,X3,X4) != esk43_4(X1,X2,X3,X4)
| ~ epred1_4(X4,X3,X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_81]),
[final] ).
cnf(i_0_290,plain,
( X1 = esk54_4(X2,X1,X3,X4)
| esk49_4(X2,X1,X3,X4) = esk50_4(X2,X1,X3,X4)
| X1 = esk46_4(X2,X1,X3,X4)
| epred1_4(X4,X3,X1,X2)
| ~ epred2_4(X4,X3,X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_78]),
[final] ).
cnf(i_0_291,plain,
( X1 = esk53_4(X1,X2,X3,X4)
| esk49_4(X1,X2,X3,X4) = esk50_4(X1,X2,X3,X4)
| X1 = esk45_4(X1,X2,X3,X4)
| epred1_4(X4,X3,X2,X1)
| ~ epred2_4(X4,X3,X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_78]),
[final] ).
cnf(i_0_292,plain,
( X1 = esk53_4(X1,X2,X3,X4)
| esk49_4(X1,X2,X3,X4) = esk50_4(X1,X2,X3,X4)
| X2 = esk46_4(X1,X2,X3,X4)
| epred1_4(X4,X3,X2,X1)
| ~ epred2_4(X4,X3,X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_78]),
[final] ).
cnf(i_0_293,plain,
( X1 = esk54_4(X2,X1,X3,X4)
| esk49_4(X2,X1,X3,X4) = esk50_4(X2,X1,X3,X4)
| X2 = esk45_4(X2,X1,X3,X4)
| epred1_4(X4,X3,X1,X2)
| ~ epred2_4(X4,X3,X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_78]),
[final] ).
cnf(i_0_294,plain,
( X2 = vabs(esk18_4(X3,X2,X4,X1),esk19_4(X3,X2,X4,X1),esk20_4(X3,X2,X4,X1))
| visSomeExp(X4)
| X5 = vnoExp
| X1 != vapp(X2,X3)
| X4 != vreduce(X2)
| X5 != vreduce(X1) ),
inference(split_conjunct,[status(thm)],[i_0_82]),
[final] ).
cnf(i_0_295,plain,
( X1 = esk38_4(X1,X2,X3,X4)
| esk42_4(X1,X2,X3,X4) != esk43_4(X1,X2,X3,X4)
| ~ epred1_4(X4,X3,X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_81]),
[final] ).
cnf(i_0_296,plain,
( X2 = esk40_4(X1,X2,X3,X4)
| esk42_4(X1,X2,X3,X4) != esk43_4(X1,X2,X3,X4)
| ~ epred1_4(X4,X3,X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_81]),
[final] ).
cnf(i_0_297,plain,
( X4 = esk40_4(X1,X2,X3,X4)
| esk42_4(X1,X2,X3,X4) != esk43_4(X1,X2,X3,X4)
| ~ epred1_4(X4,X3,X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_81]),
[final] ).
cnf(i_0_298,plain,
( vtcheck(X1,esk29_3(X2,X3,X1),varrow(esk31_3(X2,X3,X1),X3))
| vtcheck(vbind(esk25_3(X2,X3,X1),esk27_3(X2,X3,X1),X1),esk26_3(X2,X3,X1),esk28_3(X2,X3,X1))
| vlookup(esk24_3(X2,X3,X1),X1) = vsomeType(X3)
| ~ vtcheck(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[i_0_83]),
[final] ).
cnf(i_0_299,plain,
( vtcheck(X1,esk29_3(X2,X3,X1),varrow(esk31_3(X2,X3,X1),X3))
| vtcheck(vbind(esk25_3(X2,X3,X1),esk27_3(X2,X3,X1),X1),esk26_3(X2,X3,X1),esk28_3(X2,X3,X1))
| X2 = vvar(esk24_3(X2,X3,X1))
| ~ vtcheck(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[i_0_83]),
[final] ).
cnf(i_0_300,plain,
( X1 = vvar(esk43_4(X2,X3,X1,X4))
| X1 = vvar(esk39_4(X2,X3,X1,X4))
| ~ epred1_4(X4,X1,X3,X2) ),
inference(split_conjunct,[status(thm)],[i_0_81]),
[final] ).
cnf(i_0_301,plain,
( X1 = vvar(esk43_4(X2,X3,X4,X1))
| X4 = vvar(esk39_4(X2,X3,X4,X1))
| ~ epred1_4(X1,X4,X3,X2) ),
inference(split_conjunct,[status(thm)],[i_0_81]),
[final] ).
cnf(i_0_302,plain,
( X1 = esk54_4(X2,X1,X3,X4)
| X1 = esk48_4(X2,X1,X3,X4)
| X1 = esk46_4(X2,X1,X3,X4)
| epred1_4(X4,X3,X1,X2)
| ~ epred2_4(X4,X3,X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_78]),
[final] ).
cnf(i_0_303,plain,
( X1 = esk53_4(X1,X2,X3,X4)
| X1 = esk49_4(X1,X2,X3,X4)
| X1 = esk45_4(X1,X2,X3,X4)
| epred1_4(X4,X3,X2,X1)
| ~ epred2_4(X4,X3,X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_78]),
[final] ).
cnf(i_0_304,plain,
( X1 = esk54_4(X2,X1,X3,X4)
| X2 = esk49_4(X2,X1,X3,X4)
| X1 = esk46_4(X2,X1,X3,X4)
| epred1_4(X4,X3,X1,X2)
| ~ epred2_4(X4,X3,X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_78]),
[final] ).
cnf(i_0_305,plain,
( X1 = esk53_4(X1,X2,X3,X4)
| X2 = esk48_4(X1,X2,X3,X4)
| X1 = esk45_4(X1,X2,X3,X4)
| epred1_4(X4,X3,X2,X1)
| ~ epred2_4(X4,X3,X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_78]),
[final] ).
cnf(i_0_306,plain,
( X1 = esk53_4(X1,X2,X3,X4)
| X1 = esk49_4(X1,X2,X3,X4)
| X2 = esk46_4(X1,X2,X3,X4)
| epred1_4(X4,X3,X2,X1)
| ~ epred2_4(X4,X3,X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_78]),
[final] ).
cnf(i_0_307,plain,
( X1 = esk53_4(X1,X2,X3,X4)
| X2 = esk48_4(X1,X2,X3,X4)
| X2 = esk46_4(X1,X2,X3,X4)
| epred1_4(X4,X3,X2,X1)
| ~ epred2_4(X4,X3,X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_78]),
[final] ).
cnf(i_0_308,plain,
( X1 = esk54_4(X2,X1,X3,X4)
| X1 = esk48_4(X2,X1,X3,X4)
| X2 = esk45_4(X2,X1,X3,X4)
| epred1_4(X4,X3,X1,X2)
| ~ epred2_4(X4,X3,X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_78]),
[final] ).
cnf(i_0_309,plain,
( X1 = esk54_4(X2,X1,X3,X4)
| X2 = esk49_4(X2,X1,X3,X4)
| X2 = esk45_4(X2,X1,X3,X4)
| epred1_4(X4,X3,X1,X2)
| ~ epred2_4(X4,X3,X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_78]),
[final] ).
cnf(i_0_310,plain,
( X1 = vvar(esk43_4(X2,X3,X1,X4))
| esk38_4(X2,X3,X1,X4) = esk39_4(X2,X3,X1,X4)
| ~ epred1_4(X4,X1,X3,X2) ),
inference(split_conjunct,[status(thm)],[i_0_81]),
[final] ).
cnf(i_0_311,plain,
( X1 = vvar(esk43_4(X2,X3,X4,X1))
| esk38_4(X2,X3,X4,X1) = esk39_4(X2,X3,X4,X1)
| ~ epred1_4(X1,X4,X3,X2) ),
inference(split_conjunct,[status(thm)],[i_0_81]),
[final] ).
cnf(i_0_312,plain,
( vtcheck(X1,esk30_3(X2,X3,X1),esk31_3(X2,X3,X1))
| vtcheck(vbind(esk25_3(X2,X3,X1),esk27_3(X2,X3,X1),X1),esk26_3(X2,X3,X1),esk28_3(X2,X3,X1))
| vlookup(esk24_3(X2,X3,X1),X1) = vsomeType(X3)
| ~ vtcheck(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[i_0_83]),
[final] ).
cnf(i_0_313,plain,
( vtcheck(X1,esk30_3(X2,X3,X1),esk31_3(X2,X3,X1))
| vtcheck(vbind(esk25_3(X2,X3,X1),esk27_3(X2,X3,X1),X1),esk26_3(X2,X3,X1),esk28_3(X2,X3,X1))
| X2 = vvar(esk24_3(X2,X3,X1))
| ~ vtcheck(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[i_0_83]),
[final] ).
cnf(i_0_314,plain,
( X1 = vapp(esk29_3(X1,X2,X3),esk30_3(X1,X2,X3))
| vtcheck(vbind(esk25_3(X1,X2,X3),esk27_3(X1,X2,X3),X3),esk26_3(X1,X2,X3),esk28_3(X1,X2,X3))
| vlookup(esk24_3(X1,X2,X3),X3) = vsomeType(X2)
| ~ vtcheck(X3,X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_83]),
[final] ).
cnf(i_0_315,plain,
( X1 = vapp(esk29_3(X1,X2,X3),esk30_3(X1,X2,X3))
| vtcheck(vbind(esk25_3(X1,X2,X3),esk27_3(X1,X2,X3),X3),esk26_3(X1,X2,X3),esk28_3(X1,X2,X3))
| X1 = vvar(esk24_3(X1,X2,X3))
| ~ vtcheck(X3,X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_83]),
[final] ).
cnf(i_0_316,plain,
( X1 = vapp(vabs(esk70_2(X1,X2),esk68_2(X1,X2),esk72_2(X1,X2)),esk71_2(X1,X2))
| X2 = vsomeExp(vapp(vabs(esk64_2(X1,X2),esk65_2(X1,X2),esk66_2(X1,X2)),vgetSomeExp(esk67_2(X1,X2))))
| X1 = vabs(esk60_2(X1,X2),esk61_2(X1,X2),esk62_2(X1,X2))
| X1 = vvar(esk59_2(X1,X2))
| ~ epred3_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_64]),
[final] ).
cnf(i_0_317,plain,
( X1 = esk42_4(X1,X2,X3,X4)
| X3 = vvar(esk39_4(X1,X2,X3,X4))
| ~ epred1_4(X4,X3,X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_81]),
[final] ).
cnf(i_0_318,plain,
( X1 = esk41_4(X2,X1,X3,X4)
| X3 = vvar(esk39_4(X2,X1,X3,X4))
| ~ epred1_4(X4,X3,X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_81]),
[final] ).
cnf(i_0_319,plain,
( X1 = vvar(esk43_4(X2,X3,X4,X1))
| X1 = esk40_4(X2,X3,X4,X1)
| ~ epred1_4(X1,X4,X3,X2) ),
inference(split_conjunct,[status(thm)],[i_0_81]),
[final] ).
cnf(i_0_320,plain,
( X1 = vvar(esk43_4(X2,X3,X1,X4))
| X2 = esk38_4(X2,X3,X1,X4)
| ~ epred1_4(X4,X1,X3,X2) ),
inference(split_conjunct,[status(thm)],[i_0_81]),
[final] ).
cnf(i_0_321,plain,
( X1 = vvar(esk43_4(X2,X3,X4,X1))
| X2 = esk38_4(X2,X3,X4,X1)
| ~ epred1_4(X1,X4,X3,X2) ),
inference(split_conjunct,[status(thm)],[i_0_81]),
[final] ).
cnf(i_0_322,plain,
( X1 = vvar(esk43_4(X2,X3,X1,X4))
| X3 = esk40_4(X2,X3,X1,X4)
| ~ epred1_4(X4,X1,X3,X2) ),
inference(split_conjunct,[status(thm)],[i_0_81]),
[final] ).
cnf(i_0_323,plain,
( X1 = vvar(esk43_4(X2,X3,X4,X1))
| X3 = esk40_4(X2,X3,X4,X1)
| ~ epred1_4(X1,X4,X3,X2) ),
inference(split_conjunct,[status(thm)],[i_0_81]),
[final] ).
cnf(i_0_324,plain,
( X1 = vvar(esk43_4(X2,X3,X1,X4))
| X4 = esk40_4(X2,X3,X1,X4)
| ~ epred1_4(X4,X1,X3,X2) ),
inference(split_conjunct,[status(thm)],[i_0_81]),
[final] ).
cnf(i_0_325,plain,
( X1 = vapp(vabs(esk70_2(X1,X2),esk68_2(X1,X2),esk72_2(X1,X2)),esk71_2(X1,X2))
| X2 = vsomeExp(vapp(vabs(esk64_2(X1,X2),esk65_2(X1,X2),esk66_2(X1,X2)),vgetSomeExp(esk67_2(X1,X2))))
| X1 = vabs(esk60_2(X1,X2),esk61_2(X1,X2),esk62_2(X1,X2))
| X2 = vnoExp
| ~ epred3_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_64]),
[final] ).
cnf(i_0_326,plain,
( X1 = esk42_4(X1,X2,X3,X4)
| esk38_4(X1,X2,X3,X4) = esk39_4(X1,X2,X3,X4)
| ~ epred1_4(X4,X3,X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_81]),
[final] ).
cnf(i_0_327,plain,
( X1 = esk41_4(X2,X1,X3,X4)
| esk38_4(X2,X1,X3,X4) = esk39_4(X2,X1,X3,X4)
| ~ epred1_4(X4,X3,X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_81]),
[final] ).
cnf(i_0_328,plain,
( X1 = vsomeExp(vsubst(esk70_2(X2,X1),esk71_2(X2,X1),esk72_2(X2,X1)))
| X1 = vsomeExp(vapp(vabs(esk64_2(X2,X1),esk65_2(X2,X1),esk66_2(X2,X1)),vgetSomeExp(esk67_2(X2,X1))))
| X2 = vabs(esk60_2(X2,X1),esk61_2(X2,X1),esk62_2(X2,X1))
| X2 = vvar(esk59_2(X2,X1))
| ~ epred3_2(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_64]),
[final] ).
cnf(i_0_329,plain,
( epred2_4(X4,X3,X2,X1)
| esk12_4(X1,X2,X3,X4) != esk10_4(X1,X2,X3,X4)
| vsubst(X1,X2,X3) != X4 ),
inference(split_conjunct,[status(thm)],[i_0_80]),
[final] ).
cnf(i_0_330,plain,
( X1 = vsomeExp(vsubst(esk70_2(X2,X1),esk71_2(X2,X1),esk72_2(X2,X1)))
| X1 = vsomeExp(vapp(vabs(esk64_2(X2,X1),esk65_2(X2,X1),esk66_2(X2,X1)),vgetSomeExp(esk67_2(X2,X1))))
| X2 = vabs(esk60_2(X2,X1),esk61_2(X2,X1),esk62_2(X2,X1))
| X1 = vnoExp
| ~ epred3_2(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_64]),
[final] ).
cnf(i_0_331,plain,
( X1 = vapp(vabs(esk70_2(X1,X2),esk68_2(X1,X2),esk72_2(X1,X2)),esk71_2(X1,X2))
| X2 = vsomeExp(vapp(vabs(esk64_2(X1,X2),esk65_2(X1,X2),esk66_2(X1,X2)),vgetSomeExp(esk67_2(X1,X2))))
| X2 = vnoExp
| X1 = vvar(esk59_2(X1,X2))
| ~ epred3_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_64]),
[final] ).
cnf(i_0_332,plain,
( X2 = vnoExp
| X1 = vapp(vabs(esk70_2(X1,X2),esk68_2(X1,X2),esk72_2(X1,X2)),esk71_2(X1,X2))
| X2 = vsomeExp(vapp(vabs(esk64_2(X1,X2),esk65_2(X1,X2),esk66_2(X1,X2)),vgetSomeExp(esk67_2(X1,X2))))
| ~ epred3_2(X2,X1) ),
inference(cn,[status(thm)],[i_0_84]),
[final] ).
cnf(i_0_333,plain,
( X1 = vsomeExp(vsubst(esk70_2(X2,X1),esk71_2(X2,X1),esk72_2(X2,X1)))
| X1 = vsomeExp(vapp(vabs(esk64_2(X2,X1),esk65_2(X2,X1),esk66_2(X2,X1)),vgetSomeExp(esk67_2(X2,X1))))
| X1 = vnoExp
| X2 = vvar(esk59_2(X2,X1))
| ~ epred3_2(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_64]),
[final] ).
cnf(i_0_334,plain,
( vtcheck(X1,esk29_3(X2,X3,X1),varrow(esk31_3(X2,X3,X1),X3))
| X2 = vabs(esk25_3(X2,X3,X1),esk27_3(X2,X3,X1),esk26_3(X2,X3,X1))
| vlookup(esk24_3(X2,X3,X1),X1) = vsomeType(X3)
| ~ vtcheck(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[i_0_83]),
[final] ).
cnf(i_0_335,plain,
( vtcheck(X1,esk29_3(X2,X3,X1),varrow(esk31_3(X2,X3,X1),X3))
| X2 = vabs(esk25_3(X2,X3,X1),esk27_3(X2,X3,X1),esk26_3(X2,X3,X1))
| X2 = vvar(esk24_3(X2,X3,X1))
| ~ vtcheck(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[i_0_83]),
[final] ).
cnf(i_0_336,plain,
( X1 = X2
| vtcheck(vbind(X2,X4,vbind(X1,X3,X5)),X6,X7)
| ~ vtcheck(vbind(X1,X3,vbind(X2,X4,X5)),X6,X7) ),
inference(split_conjunct,[status(thm)],[i_0_85]),
[final] ).
cnf(i_0_337,plain,
( X1 = vnoExp
| X1 = vsomeExp(vsubst(esk70_2(X2,X1),esk71_2(X2,X1),esk72_2(X2,X1)))
| X1 = vsomeExp(vapp(vabs(esk64_2(X2,X1),esk65_2(X2,X1),esk66_2(X2,X1)),vgetSomeExp(esk67_2(X2,X1))))
| ~ epred3_2(X1,X2) ),
inference(cn,[status(thm)],[i_0_86]),
[final] ).
cnf(i_0_338,plain,
( X2 = vsomeExp(vapp(vabs(esk64_2(X1,X2),esk65_2(X1,X2),esk66_2(X1,X2)),vgetSomeExp(esk67_2(X1,X2))))
| X1 = vabs(esk60_2(X1,X2),esk61_2(X1,X2),esk62_2(X1,X2))
| X1 = vvar(esk59_2(X1,X2))
| ~ visSomeExp(esk69_2(X1,X2))
| ~ epred3_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_64]),
[final] ).
cnf(i_0_339,plain,
( esk69_2(X1,X2) = vreduce(esk71_2(X1,X2))
| X2 = vsomeExp(vapp(vabs(esk64_2(X1,X2),esk65_2(X1,X2),esk66_2(X1,X2)),vgetSomeExp(esk67_2(X1,X2))))
| X1 = vabs(esk60_2(X1,X2),esk61_2(X1,X2),esk62_2(X1,X2))
| X1 = vvar(esk59_2(X1,X2))
| ~ epred3_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_64]),
[final] ).
cnf(i_0_340,plain,
( visValue(esk71_2(X1,X2))
| X2 = vsomeExp(vapp(vabs(esk64_2(X1,X2),esk65_2(X1,X2),esk66_2(X1,X2)),vgetSomeExp(esk67_2(X1,X2))))
| X1 = vabs(esk60_2(X1,X2),esk61_2(X1,X2),esk62_2(X1,X2))
| X1 = vvar(esk59_2(X1,X2))
| ~ epred3_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_64]),
[final] ).
cnf(i_0_341,plain,
( X1 = esk41_4(X2,X1,X3,X4)
| X1 = esk40_4(X2,X1,X3,X4)
| ~ epred1_4(X4,X3,X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_81]),
[final] ).
cnf(i_0_342,plain,
( X1 = esk42_4(X1,X2,X3,X4)
| X1 = esk38_4(X1,X2,X3,X4)
| ~ epred1_4(X4,X3,X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_81]),
[final] ).
cnf(i_0_343,plain,
( X1 = esk42_4(X1,X2,X3,X4)
| X2 = esk40_4(X1,X2,X3,X4)
| ~ epred1_4(X4,X3,X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_81]),
[final] ).
cnf(i_0_344,plain,
( X1 = esk41_4(X2,X1,X3,X4)
| X2 = esk38_4(X2,X1,X3,X4)
| ~ epred1_4(X4,X3,X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_81]),
[final] ).
cnf(i_0_345,plain,
( X1 = esk42_4(X1,X2,X3,X4)
| X4 = esk40_4(X1,X2,X3,X4)
| ~ epred1_4(X4,X3,X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_81]),
[final] ).
cnf(i_0_346,plain,
( X1 = esk41_4(X2,X1,X3,X4)
| X4 = esk40_4(X2,X1,X3,X4)
| ~ epred1_4(X4,X3,X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_81]),
[final] ).
cnf(i_0_347,plain,
( X2 = vsomeExp(vapp(vabs(esk64_2(X1,X2),esk65_2(X1,X2),esk66_2(X1,X2)),vgetSomeExp(esk67_2(X1,X2))))
| X1 = vabs(esk60_2(X1,X2),esk61_2(X1,X2),esk62_2(X1,X2))
| X2 = vnoExp
| ~ visSomeExp(esk69_2(X1,X2))
| ~ epred3_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_64]),
[final] ).
cnf(i_0_348,plain,
( esk69_2(X1,X2) = vreduce(esk71_2(X1,X2))
| X2 = vsomeExp(vapp(vabs(esk64_2(X1,X2),esk65_2(X1,X2),esk66_2(X1,X2)),vgetSomeExp(esk67_2(X1,X2))))
| X1 = vabs(esk60_2(X1,X2),esk61_2(X1,X2),esk62_2(X1,X2))
| X2 = vnoExp
| ~ epred3_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_64]),
[final] ).
cnf(i_0_349,plain,
( visValue(esk71_2(X1,X2))
| X2 = vsomeExp(vapp(vabs(esk64_2(X1,X2),esk65_2(X1,X2),esk66_2(X1,X2)),vgetSomeExp(esk67_2(X1,X2))))
| X1 = vabs(esk60_2(X1,X2),esk61_2(X1,X2),esk62_2(X1,X2))
| X2 = vnoExp
| ~ epred3_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_64]),
[final] ).
cnf(i_0_350,plain,
( vtcheck(X1,esk30_3(X2,X3,X1),esk31_3(X2,X3,X1))
| X2 = vabs(esk25_3(X2,X3,X1),esk27_3(X2,X3,X1),esk26_3(X2,X3,X1))
| vlookup(esk24_3(X2,X3,X1),X1) = vsomeType(X3)
| ~ vtcheck(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[i_0_83]),
[final] ).
cnf(i_0_351,plain,
( vtcheck(X1,esk30_3(X2,X3,X1),esk31_3(X2,X3,X1))
| X2 = vabs(esk25_3(X2,X3,X1),esk27_3(X2,X3,X1),esk26_3(X2,X3,X1))
| X2 = vvar(esk24_3(X2,X3,X1))
| ~ vtcheck(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[i_0_83]),
[final] ).
cnf(i_0_352,plain,
( vtcheck(X1,esk29_3(X2,X3,X1),varrow(esk31_3(X2,X3,X1),X3))
| X3 = varrow(esk27_3(X2,X3,X1),esk28_3(X2,X3,X1))
| vlookup(esk24_3(X2,X3,X1),X1) = vsomeType(X3)
| ~ vtcheck(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[i_0_83]),
[final] ).
cnf(i_0_353,plain,
( X1 = vbind(esk7_3(X2,X1,X3),esk6_3(X2,X1,X3),esk9_3(X2,X1,X3))
| X1 = vbind(esk4_3(X2,X1,X3),esk5_3(X2,X1,X3),esk2_3(X2,X1,X3))
| X2 = esk1_3(X2,X1,X3)
| vlookup(X2,X1) != X3 ),
inference(split_conjunct,[status(thm)],[i_0_87]),
[final] ).
cnf(i_0_354,plain,
( vtcheck(X1,esk29_3(X2,X3,X1),varrow(esk31_3(X2,X3,X1),X3))
| X3 = varrow(esk27_3(X2,X3,X1),esk28_3(X2,X3,X1))
| X2 = vvar(esk24_3(X2,X3,X1))
| ~ vtcheck(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[i_0_83]),
[final] ).
cnf(i_0_355,plain,
( X1 = vapp(esk29_3(X1,X2,X3),esk30_3(X1,X2,X3))
| X1 = vabs(esk25_3(X1,X2,X3),esk27_3(X1,X2,X3),esk26_3(X1,X2,X3))
| vlookup(esk24_3(X1,X2,X3),X3) = vsomeType(X2)
| ~ vtcheck(X3,X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_83]),
[final] ).
cnf(i_0_356,plain,
( X1 = vapp(esk29_3(X1,X2,X3),esk30_3(X1,X2,X3))
| X1 = vabs(esk25_3(X1,X2,X3),esk27_3(X1,X2,X3),esk26_3(X1,X2,X3))
| X1 = vvar(esk24_3(X1,X2,X3))
| ~ vtcheck(X3,X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_83]),
[final] ).
cnf(i_0_357,plain,
( X1 = vapp(vabs(esk70_2(X1,X2),esk68_2(X1,X2),esk72_2(X1,X2)),esk71_2(X1,X2))
| X1 = vapp(vabs(esk64_2(X1,X2),esk65_2(X1,X2),esk66_2(X1,X2)),esk63_2(X1,X2))
| X1 = vabs(esk60_2(X1,X2),esk61_2(X1,X2),esk62_2(X1,X2))
| X1 = vvar(esk59_2(X1,X2))
| ~ epred3_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_64]),
[final] ).
cnf(i_0_358,plain,
( X1 = vbind(esk7_3(X2,X1,X3),esk6_3(X2,X1,X3),esk9_3(X2,X1,X3))
| X1 = vbind(esk4_3(X2,X1,X3),esk5_3(X2,X1,X3),esk2_3(X2,X1,X3))
| X1 = vempty
| vlookup(X2,X1) != X3 ),
inference(split_conjunct,[status(thm)],[i_0_87]),
[final] ).
cnf(i_0_359,plain,
( X1 = vbind(esk7_3(X2,X1,X3),esk6_3(X2,X1,X3),esk9_3(X2,X1,X3))
| X1 = vbind(esk4_3(X2,X1,X3),esk5_3(X2,X1,X3),esk2_3(X2,X1,X3))
| X3 = vnoType
| vlookup(X2,X1) != X3 ),
inference(split_conjunct,[status(thm)],[i_0_87]),
[final] ).
cnf(i_0_360,plain,
( X2 = vsomeExp(vapp(vabs(esk64_2(X1,X2),esk65_2(X1,X2),esk66_2(X1,X2)),vgetSomeExp(esk67_2(X1,X2))))
| X2 = vnoExp
| X1 = vvar(esk59_2(X1,X2))
| ~ visSomeExp(esk69_2(X1,X2))
| ~ epred3_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_64]),
[final] ).
cnf(i_0_361,plain,
( esk69_2(X1,X2) = vreduce(esk71_2(X1,X2))
| X2 = vsomeExp(vapp(vabs(esk64_2(X1,X2),esk65_2(X1,X2),esk66_2(X1,X2)),vgetSomeExp(esk67_2(X1,X2))))
| X2 = vnoExp
| X1 = vvar(esk59_2(X1,X2))
| ~ epred3_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_64]),
[final] ).
cnf(i_0_362,plain,
( X1 = vapp(vabs(esk70_2(X1,X2),esk68_2(X1,X2),esk72_2(X1,X2)),esk71_2(X1,X2))
| X1 = vapp(vabs(esk64_2(X1,X2),esk65_2(X1,X2),esk66_2(X1,X2)),esk63_2(X1,X2))
| X1 = vabs(esk60_2(X1,X2),esk61_2(X1,X2),esk62_2(X1,X2))
| X2 = vnoExp
| ~ epred3_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_64]),
[final] ).
cnf(i_0_363,plain,
( X1 = vsomeExp(vsubst(esk70_2(X2,X1),esk71_2(X2,X1),esk72_2(X2,X1)))
| X2 = vapp(vabs(esk64_2(X2,X1),esk65_2(X2,X1),esk66_2(X2,X1)),esk63_2(X2,X1))
| X2 = vabs(esk60_2(X2,X1),esk61_2(X2,X1),esk62_2(X2,X1))
| X2 = vvar(esk59_2(X2,X1))
| ~ epred3_2(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_64]),
[final] ).
cnf(i_0_364,plain,
( visValue(esk71_2(X1,X2))
| X2 = vsomeExp(vapp(vabs(esk64_2(X1,X2),esk65_2(X1,X2),esk66_2(X1,X2)),vgetSomeExp(esk67_2(X1,X2))))
| X2 = vnoExp
| X1 = vvar(esk59_2(X1,X2))
| ~ epred3_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_64]),
[final] ).
cnf(i_0_365,plain,
( X2 = X6
| X10 = vsubst(X2,X4,vabs(X9,X7,vsubst(X6,vvar(X9),X8)))
| X1 != X2
| X3 != X4
| X5 != vabs(X6,X7,X8)
| ~ visFreeVar(X6,X4)
| X9 != vgensym(vapp(vapp(X4,X8),vvar(X2)))
| X10 != vsubst(X1,X3,X5) ),
inference(split_conjunct,[status(thm)],[i_0_88]),
[final] ).
cnf(i_0_366,plain,
( vtcheck(vbind(X1,X3,X5),X6,X7)
| X1 != X2
| ~ vtcheck(vbind(X1,X3,vbind(X2,X4,X5)),X6,X7) ),
inference(split_conjunct,[status(thm)],[i_0_89]),
[final] ).
cnf(i_0_367,plain,
( X2 = vnoExp
| X2 = vsomeExp(vapp(vabs(esk64_2(X1,X2),esk65_2(X1,X2),esk66_2(X1,X2)),vgetSomeExp(esk67_2(X1,X2))))
| ~ epred3_2(X2,X1)
| ~ visSomeExp(esk69_2(X1,X2)) ),
inference(cn,[status(thm)],[i_0_90]),
[final] ).
cnf(i_0_368,plain,
( X2 = vnoExp
| esk69_2(X1,X2) = vreduce(esk71_2(X1,X2))
| X2 = vsomeExp(vapp(vabs(esk64_2(X1,X2),esk65_2(X1,X2),esk66_2(X1,X2)),vgetSomeExp(esk67_2(X1,X2))))
| ~ epred3_2(X2,X1) ),
inference(cn,[status(thm)],[i_0_91]),
[final] ).
cnf(i_0_369,plain,
( X1 = vsomeExp(vsubst(esk70_2(X2,X1),esk71_2(X2,X1),esk72_2(X2,X1)))
| X2 = vapp(vabs(esk64_2(X2,X1),esk65_2(X2,X1),esk66_2(X2,X1)),esk63_2(X2,X1))
| X2 = vabs(esk60_2(X2,X1),esk61_2(X2,X1),esk62_2(X2,X1))
| X1 = vnoExp
| ~ epred3_2(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_64]),
[final] ).
cnf(i_0_370,plain,
( X2 = vnoExp
| X2 = vsomeExp(vapp(vabs(esk64_2(X1,X2),esk65_2(X1,X2),esk66_2(X1,X2)),vgetSomeExp(esk67_2(X1,X2))))
| visValue(esk71_2(X1,X2))
| ~ epred3_2(X2,X1) ),
inference(cn,[status(thm)],[i_0_92]),
[final] ).
cnf(i_0_371,plain,
( vtcheck(X1,esk30_3(X2,X3,X1),esk31_3(X2,X3,X1))
| X3 = varrow(esk27_3(X2,X3,X1),esk28_3(X2,X3,X1))
| vlookup(esk24_3(X2,X3,X1),X1) = vsomeType(X3)
| ~ vtcheck(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[i_0_83]),
[final] ).
cnf(i_0_372,plain,
( vtcheck(X1,esk30_3(X2,X3,X1),esk31_3(X2,X3,X1))
| X3 = varrow(esk27_3(X2,X3,X1),esk28_3(X2,X3,X1))
| X2 = vvar(esk24_3(X2,X3,X1))
| ~ vtcheck(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[i_0_83]),
[final] ).
cnf(i_0_373,plain,
( X1 = vlookup(esk8_3(X2,X3,X1),esk9_3(X2,X3,X1))
| X3 = vbind(esk4_3(X2,X3,X1),esk5_3(X2,X3,X1),esk2_3(X2,X3,X1))
| X2 = esk1_3(X2,X3,X1)
| vlookup(X2,X3) != X1 ),
inference(split_conjunct,[status(thm)],[i_0_87]),
[final] ).
cnf(i_0_374,plain,
( X1 = vapp(esk29_3(X1,X2,X3),esk30_3(X1,X2,X3))
| X2 = varrow(esk27_3(X1,X2,X3),esk28_3(X1,X2,X3))
| vlookup(esk24_3(X1,X2,X3),X3) = vsomeType(X2)
| ~ vtcheck(X3,X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_83]),
[final] ).
cnf(i_0_375,plain,
( X1 = vapp(vabs(esk70_2(X1,X2),esk68_2(X1,X2),esk72_2(X1,X2)),esk71_2(X1,X2))
| X1 = vapp(vabs(esk64_2(X1,X2),esk65_2(X1,X2),esk66_2(X1,X2)),esk63_2(X1,X2))
| X2 = vnoExp
| X1 = vvar(esk59_2(X1,X2))
| ~ epred3_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_64]),
[final] ).
cnf(i_0_376,plain,
( X1 = vapp(esk29_3(X1,X2,X3),esk30_3(X1,X2,X3))
| X2 = varrow(esk27_3(X1,X2,X3),esk28_3(X1,X2,X3))
| X1 = vvar(esk24_3(X1,X2,X3))
| ~ vtcheck(X3,X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_83]),
[final] ).
cnf(i_0_377,plain,
( X2 = vnoExp
| X1 = vapp(vabs(esk64_2(X1,X2),esk65_2(X1,X2),esk66_2(X1,X2)),esk63_2(X1,X2))
| X1 = vapp(vabs(esk70_2(X1,X2),esk68_2(X1,X2),esk72_2(X1,X2)),esk71_2(X1,X2))
| ~ epred3_2(X2,X1) ),
inference(cn,[status(thm)],[i_0_93]),
[final] ).
cnf(i_0_378,plain,
( X1 = vlookup(esk8_3(X2,X3,X1),esk9_3(X2,X3,X1))
| X3 = vbind(esk4_3(X2,X3,X1),esk5_3(X2,X3,X1),esk2_3(X2,X3,X1))
| X1 = vnoType
| vlookup(X2,X3) != X1 ),
inference(split_conjunct,[status(thm)],[i_0_87]),
[final] ).
cnf(i_0_379,plain,
( X1 = vlookup(esk8_3(X2,X3,X1),esk9_3(X2,X3,X1))
| X3 = vbind(esk4_3(X2,X3,X1),esk5_3(X2,X3,X1),esk2_3(X2,X3,X1))
| X3 = vempty
| vlookup(X2,X3) != X1 ),
inference(split_conjunct,[status(thm)],[i_0_87]),
[final] ).
cnf(i_0_380,plain,
( X2 = vbind(esk4_3(X1,X2,X3),esk5_3(X1,X2,X3),esk2_3(X1,X2,X3))
| X1 = esk1_3(X1,X2,X3)
| esk8_3(X1,X2,X3) != esk7_3(X1,X2,X3)
| vlookup(X1,X2) != X3 ),
inference(split_conjunct,[status(thm)],[i_0_87]),
[final] ).
cnf(i_0_381,plain,
( X1 = vsomeExp(vsubst(esk70_2(X2,X1),esk71_2(X2,X1),esk72_2(X2,X1)))
| X2 = vapp(vabs(esk64_2(X2,X1),esk65_2(X2,X1),esk66_2(X2,X1)),esk63_2(X2,X1))
| X1 = vnoExp
| X2 = vvar(esk59_2(X2,X1))
| ~ epred3_2(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_64]),
[final] ).
cnf(i_0_382,plain,
( X1 = vnoExp
| X1 = vsomeExp(vsubst(esk70_2(X2,X1),esk71_2(X2,X1),esk72_2(X2,X1)))
| X2 = vapp(vabs(esk64_2(X2,X1),esk65_2(X2,X1),esk66_2(X2,X1)),esk63_2(X2,X1))
| ~ epred3_2(X1,X2) ),
inference(cn,[status(thm)],[i_0_94]),
[final] ).
cnf(i_0_383,plain,
( X1 = esk13_4(X2,X1,X3,X4)
| epred2_4(X4,X3,X1,X2)
| vsubst(X2,X1,X3) != X4 ),
inference(split_conjunct,[status(thm)],[i_0_80]),
[final] ).
cnf(i_0_384,plain,
( X1 = esk12_4(X1,X2,X3,X4)
| epred2_4(X4,X3,X2,X1)
| vsubst(X1,X2,X3) != X4 ),
inference(split_conjunct,[status(thm)],[i_0_80]),
[final] ).
cnf(i_0_385,plain,
( X2 = vbind(esk4_3(X1,X2,X3),esk5_3(X1,X2,X3),esk2_3(X1,X2,X3))
| X2 = vempty
| esk8_3(X1,X2,X3) != esk7_3(X1,X2,X3)
| vlookup(X1,X2) != X3 ),
inference(split_conjunct,[status(thm)],[i_0_87]),
[final] ).
cnf(i_0_386,plain,
( X2 = vbind(esk4_3(X1,X2,X3),esk5_3(X1,X2,X3),esk2_3(X1,X2,X3))
| X3 = vnoType
| esk8_3(X1,X2,X3) != esk7_3(X1,X2,X3)
| vlookup(X1,X2) != X3 ),
inference(split_conjunct,[status(thm)],[i_0_87]),
[final] ).
cnf(i_0_387,plain,
( X1 = vbind(esk7_3(X2,X1,X3),esk6_3(X2,X1,X3),esk9_3(X2,X1,X3))
| X3 = vsomeType(esk5_3(X2,X1,X3))
| X2 = esk1_3(X2,X1,X3)
| vlookup(X2,X1) != X3 ),
inference(split_conjunct,[status(thm)],[i_0_87]),
[final] ).
cnf(i_0_388,plain,
( X1 = vbind(esk7_3(X2,X1,X3),esk6_3(X2,X1,X3),esk9_3(X2,X1,X3))
| esk3_3(X2,X1,X3) = esk4_3(X2,X1,X3)
| X2 = esk1_3(X2,X1,X3)
| vlookup(X2,X1) != X3 ),
inference(split_conjunct,[status(thm)],[i_0_87]),
[final] ).
cnf(i_0_389,plain,
( X1 = vsomeExp(vapp(vgetSomeExp(esk79_2(X2,X1)),esk80_2(X2,X1)))
| X2 = vapp(vabs(esk73_2(X2,X1),esk74_2(X2,X1),esk75_2(X2,X1)),esk77_2(X2,X1))
| epred3_2(X1,X2)
| ~ epred4_2(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_95]),
[final] ).
cnf(i_0_390,plain,
( X1 = vapp(vabs(esk64_2(X1,X2),esk65_2(X1,X2),esk66_2(X1,X2)),esk63_2(X1,X2))
| X1 = vabs(esk60_2(X1,X2),esk61_2(X1,X2),esk62_2(X1,X2))
| X1 = vvar(esk59_2(X1,X2))
| ~ visSomeExp(esk69_2(X1,X2))
| ~ epred3_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_64]),
[final] ).
cnf(i_0_391,plain,
( esk69_2(X1,X2) = vreduce(esk71_2(X1,X2))
| X1 = vapp(vabs(esk64_2(X1,X2),esk65_2(X1,X2),esk66_2(X1,X2)),esk63_2(X1,X2))
| X1 = vabs(esk60_2(X1,X2),esk61_2(X1,X2),esk62_2(X1,X2))
| X1 = vvar(esk59_2(X1,X2))
| ~ epred3_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_64]),
[final] ).
cnf(i_0_392,plain,
( X1 = vapp(vabs(esk70_2(X1,X2),esk68_2(X1,X2),esk72_2(X1,X2)),esk71_2(X1,X2))
| esk67_2(X1,X2) = vreduce(esk63_2(X1,X2))
| X1 = vabs(esk60_2(X1,X2),esk61_2(X1,X2),esk62_2(X1,X2))
| X1 = vvar(esk59_2(X1,X2))
| ~ epred3_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_64]),
[final] ).
cnf(i_0_393,plain,
( X1 = vapp(vabs(esk70_2(X1,X2),esk68_2(X1,X2),esk72_2(X1,X2)),esk71_2(X1,X2))
| visSomeExp(esk67_2(X1,X2))
| X1 = vabs(esk60_2(X1,X2),esk61_2(X1,X2),esk62_2(X1,X2))
| X1 = vvar(esk59_2(X1,X2))
| ~ epred3_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_64]),
[final] ).
cnf(i_0_394,plain,
( visValue(esk71_2(X1,X2))
| X1 = vapp(vabs(esk64_2(X1,X2),esk65_2(X1,X2),esk66_2(X1,X2)),esk63_2(X1,X2))
| X1 = vabs(esk60_2(X1,X2),esk61_2(X1,X2),esk62_2(X1,X2))
| X1 = vvar(esk59_2(X1,X2))
| ~ epred3_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_64]),
[final] ).
cnf(i_0_395,plain,
( X1 = vbind(esk7_3(X2,X1,X3),esk6_3(X2,X1,X3),esk9_3(X2,X1,X3))
| X3 = vsomeType(esk5_3(X2,X1,X3))
| X1 = vempty
| vlookup(X2,X1) != X3 ),
inference(split_conjunct,[status(thm)],[i_0_87]),
[final] ).
cnf(i_0_396,plain,
( X1 = vbind(esk7_3(X2,X1,X3),esk6_3(X2,X1,X3),esk9_3(X2,X1,X3))
| X3 = vsomeType(esk5_3(X2,X1,X3))
| X3 = vnoType
| vlookup(X2,X1) != X3 ),
inference(split_conjunct,[status(thm)],[i_0_87]),
[final] ).
cnf(i_0_397,plain,
( X1 = esk8_3(X1,X2,X3)
| X2 = vbind(esk4_3(X1,X2,X3),esk5_3(X1,X2,X3),esk2_3(X1,X2,X3))
| X1 = esk1_3(X1,X2,X3)
| vlookup(X1,X2) != X3 ),
inference(split_conjunct,[status(thm)],[i_0_87]),
[final] ).
cnf(i_0_398,plain,
( X1 = vbind(esk7_3(X2,X1,X3),esk6_3(X2,X1,X3),esk9_3(X2,X1,X3))
| X2 = esk3_3(X2,X1,X3)
| X2 = esk1_3(X2,X1,X3)
| vlookup(X2,X1) != X3 ),
inference(split_conjunct,[status(thm)],[i_0_87]),
[final] ).
cnf(i_0_399,plain,
( X1 = vbind(esk7_3(X2,X1,X3),esk6_3(X2,X1,X3),esk9_3(X2,X1,X3))
| esk3_3(X2,X1,X3) = esk4_3(X2,X1,X3)
| X1 = vempty
| vlookup(X2,X1) != X3 ),
inference(split_conjunct,[status(thm)],[i_0_87]),
[final] ).
cnf(i_0_400,plain,
( X1 = vbind(esk7_3(X2,X1,X3),esk6_3(X2,X1,X3),esk9_3(X2,X1,X3))
| esk3_3(X2,X1,X3) = esk4_3(X2,X1,X3)
| X3 = vnoType
| vlookup(X2,X1) != X3 ),
inference(split_conjunct,[status(thm)],[i_0_87]),
[final] ).
cnf(i_0_401,plain,
( X1 = vapp(vabs(esk64_2(X1,X2),esk65_2(X1,X2),esk66_2(X1,X2)),esk63_2(X1,X2))
| X1 = vabs(esk60_2(X1,X2),esk61_2(X1,X2),esk62_2(X1,X2))
| X2 = vnoExp
| ~ visSomeExp(esk69_2(X1,X2))
| ~ epred3_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_64]),
[final] ).
cnf(i_0_402,plain,
( esk69_2(X1,X2) = vreduce(esk71_2(X1,X2))
| X1 = vapp(vabs(esk64_2(X1,X2),esk65_2(X1,X2),esk66_2(X1,X2)),esk63_2(X1,X2))
| X1 = vabs(esk60_2(X1,X2),esk61_2(X1,X2),esk62_2(X1,X2))
| X2 = vnoExp
| ~ epred3_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_64]),
[final] ).
cnf(i_0_403,plain,
( X1 = vapp(vabs(esk70_2(X1,X2),esk68_2(X1,X2),esk72_2(X1,X2)),esk71_2(X1,X2))
| esk67_2(X1,X2) = vreduce(esk63_2(X1,X2))
| X1 = vabs(esk60_2(X1,X2),esk61_2(X1,X2),esk62_2(X1,X2))
| X2 = vnoExp
| ~ epred3_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_64]),
[final] ).
cnf(i_0_404,plain,
( X1 = vsomeExp(vsubst(esk70_2(X2,X1),esk71_2(X2,X1),esk72_2(X2,X1)))
| esk67_2(X2,X1) = vreduce(esk63_2(X2,X1))
| X2 = vabs(esk60_2(X2,X1),esk61_2(X2,X1),esk62_2(X2,X1))
| X2 = vvar(esk59_2(X2,X1))
| ~ epred3_2(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_64]),
[final] ).
cnf(i_0_405,plain,
( X1 = vapp(vabs(esk70_2(X1,X2),esk68_2(X1,X2),esk72_2(X1,X2)),esk71_2(X1,X2))
| visSomeExp(esk67_2(X1,X2))
| X1 = vabs(esk60_2(X1,X2),esk61_2(X1,X2),esk62_2(X1,X2))
| X2 = vnoExp
| ~ epred3_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_64]),
[final] ).
cnf(i_0_406,plain,
( visValue(esk71_2(X1,X2))
| X1 = vapp(vabs(esk64_2(X1,X2),esk65_2(X1,X2),esk66_2(X1,X2)),esk63_2(X1,X2))
| X1 = vabs(esk60_2(X1,X2),esk61_2(X1,X2),esk62_2(X1,X2))
| X2 = vnoExp
| ~ epred3_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_64]),
[final] ).
cnf(i_0_407,plain,
( X1 = vsomeExp(vsubst(esk70_2(X2,X1),esk71_2(X2,X1),esk72_2(X2,X1)))
| visSomeExp(esk67_2(X2,X1))
| X2 = vabs(esk60_2(X2,X1),esk61_2(X2,X1),esk62_2(X2,X1))
| X2 = vvar(esk59_2(X2,X1))
| ~ epred3_2(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_64]),
[final] ).
cnf(i_0_408,plain,
( X7 = vsomeExp(vapp(vabs(X2,X3,X4),vgetSomeExp(X6)))
| X1 != vapp(vabs(X2,X3,X4),X5)
| X6 != vreduce(X5)
| ~ visSomeExp(X6)
| X7 != vreduce(X1) ),
inference(split_conjunct,[status(thm)],[i_0_96]),
[final] ).
cnf(i_0_409,plain,
( X1 = vsomeExp(vsubst(esk70_2(X2,X1),esk71_2(X2,X1),esk72_2(X2,X1)))
| esk67_2(X2,X1) = vreduce(esk63_2(X2,X1))
| X2 = vabs(esk60_2(X2,X1),esk61_2(X2,X1),esk62_2(X2,X1))
| X1 = vnoExp
| ~ epred3_2(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_64]),
[final] ).
cnf(i_0_410,plain,
( X1 = vbind(esk7_3(X2,X1,X3),esk6_3(X2,X1,X3),esk9_3(X2,X1,X3))
| X2 = esk3_3(X2,X1,X3)
| X1 = vempty
| vlookup(X2,X1) != X3 ),
inference(split_conjunct,[status(thm)],[i_0_87]),
[final] ).
cnf(i_0_411,plain,
( X1 = esk8_3(X1,X2,X3)
| X2 = vbind(esk4_3(X1,X2,X3),esk5_3(X1,X2,X3),esk2_3(X1,X2,X3))
| X2 = vempty
| vlookup(X1,X2) != X3 ),
inference(split_conjunct,[status(thm)],[i_0_87]),
[final] ).
cnf(i_0_412,plain,
( X1 = esk8_3(X1,X2,X3)
| X2 = vbind(esk4_3(X1,X2,X3),esk5_3(X1,X2,X3),esk2_3(X1,X2,X3))
| X3 = vnoType
| vlookup(X1,X2) != X3 ),
inference(split_conjunct,[status(thm)],[i_0_87]),
[final] ).
cnf(i_0_413,plain,
( X1 = vbind(esk7_3(X2,X1,X3),esk6_3(X2,X1,X3),esk9_3(X2,X1,X3))
| X2 = esk3_3(X2,X1,X3)
| X3 = vnoType
| vlookup(X2,X1) != X3 ),
inference(split_conjunct,[status(thm)],[i_0_87]),
[final] ).
cnf(i_0_414,plain,
( X1 = vsomeExp(vsubst(esk70_2(X2,X1),esk71_2(X2,X1),esk72_2(X2,X1)))
| visSomeExp(esk67_2(X2,X1))
| X2 = vabs(esk60_2(X2,X1),esk61_2(X2,X1),esk62_2(X2,X1))
| X1 = vnoExp
| ~ epred3_2(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_64]),
[final] ).
cnf(i_0_415,plain,
( X1 = vapp(vabs(esk73_2(X1,X2),esk74_2(X1,X2),esk75_2(X1,X2)),esk77_2(X1,X2))
| epred3_2(X2,X1)
| esk78_2(X1,X2) != vabs(X3,X4,X5)
| ~ epred4_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_95]),
[final] ).
cnf(i_0_416,plain,
( vtcheck(X3,vabs(X1,X2,X4),varrow(X2,X5))
| ~ vtcheck(vbind(X1,X2,X3),X4,X5) ),
inference(split_conjunct,[status(thm)],[i_0_97]),
[final] ).
cnf(i_0_417,plain,
( X1 = vlookup(esk8_3(X2,X3,X1),esk9_3(X2,X3,X1))
| X1 = vsomeType(esk5_3(X2,X3,X1))
| X2 = esk1_3(X2,X3,X1)
| vlookup(X2,X3) != X1 ),
inference(split_conjunct,[status(thm)],[i_0_87]),
[final] ).
cnf(i_0_418,plain,
( X1 = vlookup(esk8_3(X2,X3,X1),esk9_3(X2,X3,X1))
| esk3_3(X2,X3,X1) = esk4_3(X2,X3,X1)
| X2 = esk1_3(X2,X3,X1)
| vlookup(X2,X3) != X1 ),
inference(split_conjunct,[status(thm)],[i_0_87]),
[final] ).
cnf(i_0_419,plain,
( X1 = vapp(esk78_2(X1,X2),esk80_2(X1,X2))
| X1 = vapp(vabs(esk73_2(X1,X2),esk74_2(X1,X2),esk75_2(X1,X2)),esk77_2(X1,X2))
| epred3_2(X2,X1)
| ~ epred4_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_95]),
[final] ).
cnf(i_0_420,plain,
( X1 = vapp(vabs(esk64_2(X1,X2),esk65_2(X1,X2),esk66_2(X1,X2)),esk63_2(X1,X2))
| X2 = vnoExp
| X1 = vvar(esk59_2(X1,X2))
| ~ visSomeExp(esk69_2(X1,X2))
| ~ epred3_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_64]),
[final] ).
cnf(i_0_421,plain,
( esk69_2(X1,X2) = vreduce(esk71_2(X1,X2))
| X1 = vapp(vabs(esk64_2(X1,X2),esk65_2(X1,X2),esk66_2(X1,X2)),esk63_2(X1,X2))
| X2 = vnoExp
| X1 = vvar(esk59_2(X1,X2))
| ~ epred3_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_64]),
[final] ).
cnf(i_0_422,plain,
( X1 = vapp(vabs(esk70_2(X1,X2),esk68_2(X1,X2),esk72_2(X1,X2)),esk71_2(X1,X2))
| esk67_2(X1,X2) = vreduce(esk63_2(X1,X2))
| X2 = vnoExp
| X1 = vvar(esk59_2(X1,X2))
| ~ epred3_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_64]),
[final] ).
cnf(i_0_423,negated_conjecture,
~ vtcheck(vbind(esk32_0,esk33_0,esk34_0),vabs(esk35_0,esk36_0,veabs),esk37_0),
inference(split_conjunct,[status(thm)],[i_0_98]),
[final] ).
cnf(i_0_424,plain,
( X1 = vapp(vabs(esk70_2(X1,X2),esk68_2(X1,X2),esk72_2(X1,X2)),esk71_2(X1,X2))
| visSomeExp(esk67_2(X1,X2))
| X2 = vnoExp
| X1 = vvar(esk59_2(X1,X2))
| ~ epred3_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_64]),
[final] ).
cnf(i_0_425,plain,
( visValue(esk71_2(X1,X2))
| X1 = vapp(vabs(esk64_2(X1,X2),esk65_2(X1,X2),esk66_2(X1,X2)),esk63_2(X1,X2))
| X2 = vnoExp
| X1 = vvar(esk59_2(X1,X2))
| ~ epred3_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_64]),
[final] ).
cnf(i_0_426,plain,
( esk79_2(X1,X2) = vreduce(esk78_2(X1,X2))
| X1 = vapp(vabs(esk73_2(X1,X2),esk74_2(X1,X2),esk75_2(X1,X2)),esk77_2(X1,X2))
| epred3_2(X2,X1)
| ~ epred4_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_95]),
[final] ).
cnf(i_0_427,plain,
( X2 = vnoExp
| X1 = vapp(vabs(esk64_2(X1,X2),esk65_2(X1,X2),esk66_2(X1,X2)),esk63_2(X1,X2))
| ~ epred3_2(X2,X1)
| ~ visSomeExp(esk69_2(X1,X2)) ),
inference(cn,[status(thm)],[i_0_99]),
[final] ).
cnf(i_0_428,plain,
( X2 = vnoExp
| esk69_2(X1,X2) = vreduce(esk71_2(X1,X2))
| X1 = vapp(vabs(esk64_2(X1,X2),esk65_2(X1,X2),esk66_2(X1,X2)),esk63_2(X1,X2))
| ~ epred3_2(X2,X1) ),
inference(cn,[status(thm)],[i_0_100]),
[final] ).
cnf(i_0_429,plain,
( X2 = vnoExp
| esk67_2(X1,X2) = vreduce(esk63_2(X1,X2))
| X1 = vapp(vabs(esk70_2(X1,X2),esk68_2(X1,X2),esk72_2(X1,X2)),esk71_2(X1,X2))
| ~ epred3_2(X2,X1) ),
inference(cn,[status(thm)],[i_0_101]),
[final] ).
cnf(i_0_430,plain,
( visSomeExp(esk79_2(X1,X2))
| X1 = vapp(vabs(esk73_2(X1,X2),esk74_2(X1,X2),esk75_2(X1,X2)),esk77_2(X1,X2))
| epred3_2(X2,X1)
| ~ epred4_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_95]),
[final] ).
cnf(i_0_431,plain,
( X1 = vsomeExp(vsubst(esk70_2(X2,X1),esk71_2(X2,X1),esk72_2(X2,X1)))
| esk67_2(X2,X1) = vreduce(esk63_2(X2,X1))
| X1 = vnoExp
| X2 = vvar(esk59_2(X2,X1))
| ~ epred3_2(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_64]),
[final] ).
cnf(i_0_432,plain,
( X1 = vlookup(esk8_3(X2,X3,X1),esk9_3(X2,X3,X1))
| X1 = vsomeType(esk5_3(X2,X3,X1))
| X1 = vnoType
| vlookup(X2,X3) != X1 ),
inference(split_conjunct,[status(thm)],[i_0_87]),
[final] ).
cnf(i_0_433,plain,
( X1 = vlookup(esk8_3(X2,X3,X1),esk9_3(X2,X3,X1))
| X1 = vsomeType(esk5_3(X2,X3,X1))
| X3 = vempty
| vlookup(X2,X3) != X1 ),
inference(split_conjunct,[status(thm)],[i_0_87]),
[final] ).
cnf(i_0_434,plain,
( X1 = vlookup(esk8_3(X2,X3,X1),esk9_3(X2,X3,X1))
| X2 = esk3_3(X2,X3,X1)
| X2 = esk1_3(X2,X3,X1)
| vlookup(X2,X3) != X1 ),
inference(split_conjunct,[status(thm)],[i_0_87]),
[final] ).
cnf(i_0_435,plain,
( X1 = vlookup(esk8_3(X2,X3,X1),esk9_3(X2,X3,X1))
| esk3_3(X2,X3,X1) = esk4_3(X2,X3,X1)
| X1 = vnoType
| vlookup(X2,X3) != X1 ),
inference(split_conjunct,[status(thm)],[i_0_87]),
[final] ).
cnf(i_0_436,plain,
( X1 = vlookup(esk8_3(X2,X3,X1),esk9_3(X2,X3,X1))
| esk3_3(X2,X3,X1) = esk4_3(X2,X3,X1)
| X3 = vempty
| vlookup(X2,X3) != X1 ),
inference(split_conjunct,[status(thm)],[i_0_87]),
[final] ).
cnf(i_0_437,plain,
( X3 = vsomeType(esk5_3(X1,X2,X3))
| X1 = esk1_3(X1,X2,X3)
| esk8_3(X1,X2,X3) != esk7_3(X1,X2,X3)
| vlookup(X1,X2) != X3 ),
inference(split_conjunct,[status(thm)],[i_0_87]),
[final] ).
cnf(i_0_438,plain,
( X2 = X6
| visFreeVar(X6,X4)
| X9 = vabs(X6,X7,vsubst(X2,X4,X8))
| X1 != X2
| X3 != X4
| X5 != vabs(X6,X7,X8)
| X9 != vsubst(X1,X3,X5) ),
inference(split_conjunct,[status(thm)],[i_0_102]),
[final] ).
cnf(i_0_439,plain,
( esk3_3(X1,X2,X3) = esk4_3(X1,X2,X3)
| X1 = esk1_3(X1,X2,X3)
| esk8_3(X1,X2,X3) != esk7_3(X1,X2,X3)
| vlookup(X1,X2) != X3 ),
inference(split_conjunct,[status(thm)],[i_0_87]),
[final] ).
cnf(i_0_440,plain,
( X2 = vnoExp
| X1 = vapp(vabs(esk70_2(X1,X2),esk68_2(X1,X2),esk72_2(X1,X2)),esk71_2(X1,X2))
| visSomeExp(esk67_2(X1,X2))
| ~ epred3_2(X2,X1) ),
inference(cn,[status(thm)],[i_0_103]),
[final] ).
cnf(i_0_441,plain,
( X2 = vnoExp
| X1 = vapp(vabs(esk64_2(X1,X2),esk65_2(X1,X2),esk66_2(X1,X2)),esk63_2(X1,X2))
| visValue(esk71_2(X1,X2))
| ~ epred3_2(X2,X1) ),
inference(cn,[status(thm)],[i_0_104]),
[final] ).
cnf(i_0_442,plain,
( X1 = vsomeExp(vsubst(esk70_2(X2,X1),esk71_2(X2,X1),esk72_2(X2,X1)))
| visSomeExp(esk67_2(X2,X1))
| X1 = vnoExp
| X2 = vvar(esk59_2(X2,X1))
| ~ epred3_2(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_64]),
[final] ).
cnf(i_0_443,plain,
( X8 = vapp(vsubst(X2,X4,X6),vsubst(X2,X4,X7))
| X1 != X2
| X3 != X4
| X5 != vapp(X6,X7)
| X8 != vsubst(X1,X3,X5) ),
inference(split_conjunct,[status(thm)],[i_0_105]),
[final] ).
cnf(i_0_444,plain,
( X1 = vnoExp
| esk67_2(X2,X1) = vreduce(esk63_2(X2,X1))
| X1 = vsomeExp(vsubst(esk70_2(X2,X1),esk71_2(X2,X1),esk72_2(X2,X1)))
| ~ epred3_2(X1,X2) ),
inference(cn,[status(thm)],[i_0_106]),
[final] ).
cnf(i_0_445,plain,
( visSomeExp(X6)
| X7 = vsomeExp(vsubst(X2,X5,X4))
| X1 != vapp(vabs(X2,X3,X4),X5)
| X6 != vreduce(X5)
| ~ visValue(X5)
| X7 != vreduce(X1) ),
inference(split_conjunct,[status(thm)],[i_0_107]),
[final] ).
cnf(i_0_446,plain,
( visFreeVar(X1,X2)
| vtcheck(X4,X2,X5)
| ~ vtcheck(vbind(X1,X3,X4),X2,X5) ),
inference(split_conjunct,[status(thm)],[i_0_108]),
[final] ).
cnf(i_0_447,plain,
( X1 = vnoExp
| X1 = vsomeExp(vsubst(esk70_2(X2,X1),esk71_2(X2,X1),esk72_2(X2,X1)))
| visSomeExp(esk67_2(X2,X1))
| ~ epred3_2(X1,X2) ),
inference(cn,[status(thm)],[i_0_109]),
[final] ).
cnf(i_0_448,plain,
( X1 = vlookup(esk8_3(X2,X3,X1),esk9_3(X2,X3,X1))
| X2 = esk3_3(X2,X3,X1)
| X1 = vnoType
| vlookup(X2,X3) != X1 ),
inference(split_conjunct,[status(thm)],[i_0_87]),
[final] ).
cnf(i_0_449,plain,
( X1 = vlookup(esk8_3(X2,X3,X1),esk9_3(X2,X3,X1))
| X2 = esk3_3(X2,X3,X1)
| X3 = vempty
| vlookup(X2,X3) != X1 ),
inference(split_conjunct,[status(thm)],[i_0_87]),
[final] ).
cnf(i_0_450,plain,
( X3 = vsomeType(esk5_3(X1,X2,X3))
| X2 = vempty
| esk8_3(X1,X2,X3) != esk7_3(X1,X2,X3)
| vlookup(X1,X2) != X3 ),
inference(split_conjunct,[status(thm)],[i_0_87]),
[final] ).
cnf(i_0_451,plain,
( X3 = vsomeType(esk5_3(X1,X2,X3))
| X3 = vnoType
| esk8_3(X1,X2,X3) != esk7_3(X1,X2,X3)
| vlookup(X1,X2) != X3 ),
inference(split_conjunct,[status(thm)],[i_0_87]),
[final] ).
cnf(i_0_452,plain,
( X1 = esk3_3(X1,X2,X3)
| X1 = esk1_3(X1,X2,X3)
| esk8_3(X1,X2,X3) != esk7_3(X1,X2,X3)
| vlookup(X1,X2) != X3 ),
inference(split_conjunct,[status(thm)],[i_0_87]),
[final] ).
cnf(i_0_453,plain,
( esk3_3(X1,X2,X3) = esk4_3(X1,X2,X3)
| X2 = vempty
| esk8_3(X1,X2,X3) != esk7_3(X1,X2,X3)
| vlookup(X1,X2) != X3 ),
inference(split_conjunct,[status(thm)],[i_0_87]),
[final] ).
cnf(i_0_454,plain,
( esk3_3(X1,X2,X3) = esk4_3(X1,X2,X3)
| X3 = vnoType
| esk8_3(X1,X2,X3) != esk7_3(X1,X2,X3)
| vlookup(X1,X2) != X3 ),
inference(split_conjunct,[status(thm)],[i_0_87]),
[final] ).
cnf(i_0_455,plain,
( vtcheck(X1,vapp(X2,X5),X4)
| ~ vtcheck(X1,X2,varrow(X3,X4))
| ~ vtcheck(X1,X5,X3) ),
inference(split_conjunct,[status(thm)],[i_0_110]),
[final] ).
cnf(i_0_456,plain,
( X1 = vsomeExp(vapp(vgetSomeExp(esk79_2(X2,X1)),esk80_2(X2,X1)))
| epred3_2(X1,X2)
| ~ visSomeExp(esk76_2(X2,X1))
| ~ epred4_2(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_95]),
[final] ).
cnf(i_0_457,plain,
( X1 = vsomeExp(vapp(vgetSomeExp(esk79_2(X2,X1)),esk80_2(X2,X1)))
| epred3_2(X1,X2)
| ~ visValue(esk77_2(X2,X1))
| ~ epred4_2(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_95]),
[final] ).
cnf(i_0_458,plain,
( X1 = vsomeExp(vapp(vgetSomeExp(esk79_2(X2,X1)),esk80_2(X2,X1)))
| esk76_2(X2,X1) = vreduce(esk77_2(X2,X1))
| epred3_2(X1,X2)
| ~ epred4_2(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_95]),
[final] ).
cnf(i_0_459,plain,
( esk67_2(X1,X2) = vreduce(esk63_2(X1,X2))
| X1 = vabs(esk60_2(X1,X2),esk61_2(X1,X2),esk62_2(X1,X2))
| X1 = vvar(esk59_2(X1,X2))
| ~ visSomeExp(esk69_2(X1,X2))
| ~ epred3_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_64]),
[final] ).
cnf(i_0_460,plain,
( esk69_2(X1,X2) = vreduce(esk71_2(X1,X2))
| esk67_2(X1,X2) = vreduce(esk63_2(X1,X2))
| X1 = vabs(esk60_2(X1,X2),esk61_2(X1,X2),esk62_2(X1,X2))
| X1 = vvar(esk59_2(X1,X2))
| ~ epred3_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_64]),
[final] ).
cnf(i_0_461,plain,
( vtcheck(vbind(X1,X5,X2),X3,X4)
| vlookup(X1,X2) != vnoType
| ~ vtcheck(X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[i_0_111]),
[final] ).
cnf(i_0_462,plain,
( visSomeExp(esk67_2(X1,X2))
| X1 = vabs(esk60_2(X1,X2),esk61_2(X1,X2),esk62_2(X1,X2))
| X1 = vvar(esk59_2(X1,X2))
| ~ visSomeExp(esk69_2(X1,X2))
| ~ epred3_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_64]),
[final] ).
cnf(i_0_463,plain,
( esk69_2(X1,X2) = vreduce(esk71_2(X1,X2))
| visSomeExp(esk67_2(X1,X2))
| X1 = vabs(esk60_2(X1,X2),esk61_2(X1,X2),esk62_2(X1,X2))
| X1 = vvar(esk59_2(X1,X2))
| ~ epred3_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_64]),
[final] ).
cnf(i_0_464,plain,
( visValue(esk71_2(X1,X2))
| esk67_2(X1,X2) = vreduce(esk63_2(X1,X2))
| X1 = vabs(esk60_2(X1,X2),esk61_2(X1,X2),esk62_2(X1,X2))
| X1 = vvar(esk59_2(X1,X2))
| ~ epred3_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_64]),
[final] ).
cnf(i_0_465,plain,
( visFreeVar(X1,veabs)
| vtcheck(vbind(X1,X4,X2),veabs,X3)
| ~ vtcheck(X2,veabs,X3) ),
inference(split_conjunct,[status(thm)],[i_0_112]),
[final] ).
cnf(i_0_466,plain,
( X1 = esk3_3(X1,X2,X3)
| X2 = vempty
| esk8_3(X1,X2,X3) != esk7_3(X1,X2,X3)
| vlookup(X1,X2) != X3 ),
inference(split_conjunct,[status(thm)],[i_0_87]),
[final] ).
cnf(i_0_467,plain,
( X1 = esk3_3(X1,X2,X3)
| X3 = vnoType
| esk8_3(X1,X2,X3) != esk7_3(X1,X2,X3)
| vlookup(X1,X2) != X3 ),
inference(split_conjunct,[status(thm)],[i_0_87]),
[final] ).
cnf(i_0_468,plain,
( esk67_2(X1,X2) = vreduce(esk63_2(X1,X2))
| X1 = vabs(esk60_2(X1,X2),esk61_2(X1,X2),esk62_2(X1,X2))
| X2 = vnoExp
| ~ visSomeExp(esk69_2(X1,X2))
| ~ epred3_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_64]),
[final] ).
cnf(i_0_469,plain,
( visValue(esk71_2(X1,X2))
| visSomeExp(esk67_2(X1,X2))
| X1 = vabs(esk60_2(X1,X2),esk61_2(X1,X2),esk62_2(X1,X2))
| X1 = vvar(esk59_2(X1,X2))
| ~ epred3_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_64]),
[final] ).
cnf(i_0_470,plain,
( X1 = esk8_3(X1,X2,X3)
| X3 = vsomeType(esk5_3(X1,X2,X3))
| X1 = esk1_3(X1,X2,X3)
| vlookup(X1,X2) != X3 ),
inference(split_conjunct,[status(thm)],[i_0_87]),
[final] ).
cnf(i_0_471,plain,
( esk69_2(X1,X2) = vreduce(esk71_2(X1,X2))
| esk67_2(X1,X2) = vreduce(esk63_2(X1,X2))
| X1 = vabs(esk60_2(X1,X2),esk61_2(X1,X2),esk62_2(X1,X2))
| X2 = vnoExp
| ~ epred3_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_64]),
[final] ).
cnf(i_0_472,plain,
( X1 = esk8_3(X1,X2,X3)
| esk3_3(X1,X2,X3) = esk4_3(X1,X2,X3)
| X1 = esk1_3(X1,X2,X3)
| vlookup(X1,X2) != X3 ),
inference(split_conjunct,[status(thm)],[i_0_87]),
[final] ).
cnf(i_0_473,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_113]),
[final] ).
cnf(i_0_474,plain,
( X1 = vsomeExp(vapp(vgetSomeExp(esk79_2(X2,X1)),esk80_2(X2,X1)))
| X1 = vnoExp
| epred3_2(X1,X2)
| ~ epred4_2(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_95]),
[final] ).
cnf(i_0_475,plain,
( visSomeExp(esk67_2(X1,X2))
| X1 = vabs(esk60_2(X1,X2),esk61_2(X1,X2),esk62_2(X1,X2))
| X2 = vnoExp
| ~ visSomeExp(esk69_2(X1,X2))
| ~ epred3_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_64]),
[final] ).
cnf(i_0_476,plain,
( esk69_2(X1,X2) = vreduce(esk71_2(X1,X2))
| visSomeExp(esk67_2(X1,X2))
| X1 = vabs(esk60_2(X1,X2),esk61_2(X1,X2),esk62_2(X1,X2))
| X2 = vnoExp
| ~ epred3_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_64]),
[final] ).
cnf(i_0_477,plain,
( visValue(esk71_2(X1,X2))
| esk67_2(X1,X2) = vreduce(esk63_2(X1,X2))
| X1 = vabs(esk60_2(X1,X2),esk61_2(X1,X2),esk62_2(X1,X2))
| X2 = vnoExp
| ~ epred3_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_64]),
[final] ).
cnf(i_0_478,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_114]),
[final] ).
cnf(i_0_479,plain,
( visValue(esk71_2(X1,X2))
| visSomeExp(esk67_2(X1,X2))
| X1 = vabs(esk60_2(X1,X2),esk61_2(X1,X2),esk62_2(X1,X2))
| X2 = vnoExp
| ~ epred3_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_64]),
[final] ).
cnf(i_0_480,plain,
( X1 = esk8_3(X1,X2,X3)
| X3 = vsomeType(esk5_3(X1,X2,X3))
| X2 = vempty
| vlookup(X1,X2) != X3 ),
inference(split_conjunct,[status(thm)],[i_0_87]),
[final] ).
cnf(i_0_481,plain,
( X1 = esk8_3(X1,X2,X3)
| X3 = vsomeType(esk5_3(X1,X2,X3))
| X3 = vnoType
| vlookup(X1,X2) != X3 ),
inference(split_conjunct,[status(thm)],[i_0_87]),
[final] ).
cnf(i_0_482,plain,
( epred3_2(X2,X1)
| esk78_2(X1,X2) != vabs(X3,X4,X5)
| ~ visSomeExp(esk76_2(X1,X2))
| ~ epred4_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_95]),
[final] ).
cnf(i_0_483,plain,
( epred3_2(X2,X1)
| esk78_2(X1,X2) != vabs(X3,X4,X5)
| ~ visValue(esk77_2(X1,X2))
| ~ epred4_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_95]),
[final] ).
cnf(i_0_484,plain,
( X1 = esk8_3(X1,X2,X3)
| X1 = esk3_3(X1,X2,X3)
| X1 = esk1_3(X1,X2,X3)
| vlookup(X1,X2) != X3 ),
inference(split_conjunct,[status(thm)],[i_0_87]),
[final] ).
cnf(i_0_485,plain,
( X1 = esk8_3(X1,X2,X3)
| esk3_3(X1,X2,X3) = esk4_3(X1,X2,X3)
| X2 = vempty
| vlookup(X1,X2) != X3 ),
inference(split_conjunct,[status(thm)],[i_0_87]),
[final] ).
cnf(i_0_486,plain,
( X1 = esk8_3(X1,X2,X3)
| esk3_3(X1,X2,X3) = esk4_3(X1,X2,X3)
| X3 = vnoType
| vlookup(X1,X2) != X3 ),
inference(split_conjunct,[status(thm)],[i_0_87]),
[final] ).
cnf(i_0_487,plain,
( esk76_2(X1,X2) = vreduce(esk77_2(X1,X2))
| epred3_2(X2,X1)
| esk78_2(X1,X2) != vabs(X3,X4,X5)
| ~ epred4_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_95]),
[final] ).
cnf(i_0_488,negated_conjecture,
~ visFreeVar(esk32_0,vabs(esk35_0,esk36_0,veabs)),
inference(split_conjunct,[status(thm)],[i_0_98]),
[final] ).
cnf(i_0_489,plain,
( X1 = X2
| vbind(X1,X3,X4) != vbind(X2,X5,X6) ),
inference(split_conjunct,[status(thm)],[i_0_115]),
[final] ).
cnf(i_0_490,plain,
( X1 = X2
| vbind(X3,X1,X4) != vbind(X5,X2,X6) ),
inference(split_conjunct,[status(thm)],[i_0_115]),
[final] ).
cnf(i_0_491,plain,
( X1 = X2
| vbind(X3,X4,X1) != vbind(X5,X6,X2) ),
inference(split_conjunct,[status(thm)],[i_0_115]),
[final] ).
cnf(i_0_492,plain,
( X1 = X2
| vabs(X1,X3,X4) != vabs(X2,X5,X6) ),
inference(split_conjunct,[status(thm)],[i_0_116]),
[final] ).
cnf(i_0_493,plain,
( X1 = X2
| vabs(X3,X1,X4) != vabs(X5,X2,X6) ),
inference(split_conjunct,[status(thm)],[i_0_116]),
[final] ).
cnf(i_0_494,plain,
( X1 = X2
| vabs(X3,X4,X1) != vabs(X5,X6,X2) ),
inference(split_conjunct,[status(thm)],[i_0_116]),
[final] ).
cnf(i_0_495,plain,
( X1 = vapp(esk78_2(X1,X2),esk80_2(X1,X2))
| epred3_2(X2,X1)
| ~ visSomeExp(esk76_2(X1,X2))
| ~ epred4_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_95]),
[final] ).
cnf(i_0_496,plain,
( X1 = vapp(esk78_2(X1,X2),esk80_2(X1,X2))
| epred3_2(X2,X1)
| ~ visValue(esk77_2(X1,X2))
| ~ epred4_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_95]),
[final] ).
cnf(i_0_497,negated_conjecture,
vtcheck(esk34_0,vabs(esk35_0,esk36_0,veabs),esk37_0),
inference(split_conjunct,[status(thm)],[i_0_98]),
[final] ).
cnf(i_0_498,plain,
( X1 = vapp(esk78_2(X1,X2),esk80_2(X1,X2))
| esk76_2(X1,X2) = vreduce(esk77_2(X1,X2))
| epred3_2(X2,X1)
| ~ epred4_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_95]),
[final] ).
cnf(i_0_499,plain,
( esk67_2(X1,X2) = vreduce(esk63_2(X1,X2))
| X2 = vnoExp
| X1 = vvar(esk59_2(X1,X2))
| ~ visSomeExp(esk69_2(X1,X2))
| ~ epred3_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_64]),
[final] ).
cnf(i_0_500,plain,
( X2 = vnoExp
| epred3_2(X2,X1)
| esk78_2(X1,X2) != vabs(X3,X4,X5)
| ~ epred4_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_95]),
[final] ).
cnf(i_0_501,plain,
( esk69_2(X1,X2) = vreduce(esk71_2(X1,X2))
| esk67_2(X1,X2) = vreduce(esk63_2(X1,X2))
| X2 = vnoExp
| X1 = vvar(esk59_2(X1,X2))
| ~ epred3_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_64]),
[final] ).
cnf(i_0_502,plain,
( X1 = esk8_3(X1,X2,X3)
| X1 = esk3_3(X1,X2,X3)
| X2 = vempty
| vlookup(X1,X2) != X3 ),
inference(split_conjunct,[status(thm)],[i_0_87]),
[final] ).
cnf(i_0_503,plain,
( X1 = esk8_3(X1,X2,X3)
| X1 = esk3_3(X1,X2,X3)
| X3 = vnoType
| vlookup(X1,X2) != X3 ),
inference(split_conjunct,[status(thm)],[i_0_87]),
[final] ).
cnf(i_0_504,plain,
( visSomeExp(esk67_2(X1,X2))
| X2 = vnoExp
| X1 = vvar(esk59_2(X1,X2))
| ~ visSomeExp(esk69_2(X1,X2))
| ~ epred3_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_64]),
[final] ).
cnf(i_0_505,plain,
( X2 = X4
| X7 = vlookup(X2,X6)
| X1 != X2
| X3 != vbind(X4,X5,X6)
| X7 != vlookup(X1,X3) ),
inference(split_conjunct,[status(thm)],[i_0_117]),
[final] ).
cnf(i_0_506,plain,
( epred4_2(X2,X1)
| esk22_2(X1,X2) != vabs(X3,X4,X5)
| vreduce(X1) != X2 ),
inference(split_conjunct,[status(thm)],[i_0_118]),
[final] ).
cnf(i_0_507,plain,
( X1 = X2
| visFreeVar(X4,X5)
| ~ visFreeVar(X2,X3)
| X4 != X2
| X5 != vabs(X1,X6,X3) ),
inference(split_conjunct,[status(thm)],[i_0_119]),
[final] ).
cnf(i_0_508,plain,
( esk69_2(X1,X2) = vreduce(esk71_2(X1,X2))
| visSomeExp(esk67_2(X1,X2))
| X2 = vnoExp
| X1 = vvar(esk59_2(X1,X2))
| ~ epred3_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_64]),
[final] ).
cnf(i_0_509,plain,
( visValue(esk71_2(X1,X2))
| esk67_2(X1,X2) = vreduce(esk63_2(X1,X2))
| X2 = vnoExp
| X1 = vvar(esk59_2(X1,X2))
| ~ epred3_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_64]),
[final] ).
cnf(i_0_510,plain,
( esk79_2(X1,X2) = vreduce(esk78_2(X1,X2))
| epred3_2(X2,X1)
| ~ visSomeExp(esk76_2(X1,X2))
| ~ epred4_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_95]),
[final] ).
cnf(i_0_511,plain,
( esk79_2(X1,X2) = vreduce(esk78_2(X1,X2))
| epred3_2(X2,X1)
| ~ visValue(esk77_2(X1,X2))
| ~ epred4_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_95]),
[final] ).
cnf(i_0_512,plain,
( visFreeVar(X1,X2)
| ~ visFreeVar(X3,X4)
| X3 != X1
| X4 != vabs(X5,X6,X2) ),
inference(split_conjunct,[status(thm)],[i_0_119]),
[final] ).
cnf(i_0_513,plain,
( esk79_2(X1,X2) = vreduce(esk78_2(X1,X2))
| esk76_2(X1,X2) = vreduce(esk77_2(X1,X2))
| epred3_2(X2,X1)
| ~ epred4_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_95]),
[final] ).
cnf(i_0_514,plain,
( X7 = vsomeType(X5)
| X1 != X2
| X3 != vbind(X4,X5,X6)
| X2 != X4
| X7 != vlookup(X1,X3) ),
inference(split_conjunct,[status(thm)],[i_0_120]),
[final] ).
cnf(i_0_515,plain,
( X1 != X2
| ~ visFreeVar(X3,X4)
| X3 != X2
| X4 != vabs(X1,X5,X6) ),
inference(split_conjunct,[status(thm)],[i_0_119]),
[final] ).
cnf(i_0_516,plain,
( visValue(esk71_2(X1,X2))
| visSomeExp(esk67_2(X1,X2))
| X2 = vnoExp
| X1 = vvar(esk59_2(X1,X2))
| ~ epred3_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_64]),
[final] ).
cnf(i_0_517,plain,
( X2 = vnoExp
| esk67_2(X1,X2) = vreduce(esk63_2(X1,X2))
| ~ epred3_2(X2,X1)
| ~ visSomeExp(esk69_2(X1,X2)) ),
inference(cn,[status(thm)],[i_0_121]),
[final] ).
cnf(i_0_518,plain,
( visSomeExp(esk79_2(X1,X2))
| epred3_2(X2,X1)
| ~ visSomeExp(esk76_2(X1,X2))
| ~ epred4_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_95]),
[final] ).
cnf(i_0_519,plain,
( visSomeExp(esk79_2(X1,X2))
| epred3_2(X2,X1)
| ~ visValue(esk77_2(X1,X2))
| ~ epred4_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_95]),
[final] ).
cnf(i_0_520,plain,
( X2 = vnoExp
| esk67_2(X1,X2) = vreduce(esk63_2(X1,X2))
| esk69_2(X1,X2) = vreduce(esk71_2(X1,X2))
| ~ epred3_2(X2,X1) ),
inference(cn,[status(thm)],[i_0_122]),
[final] ).
cnf(i_0_521,plain,
( visSomeExp(esk79_2(X1,X2))
| esk76_2(X1,X2) = vreduce(esk77_2(X1,X2))
| epred3_2(X2,X1)
| ~ epred4_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_95]),
[final] ).
cnf(i_0_522,plain,
( X2 = X6
| X7 = vvar(X6)
| X1 != X2
| X3 != X4
| X5 != vvar(X6)
| X7 != vsubst(X1,X3,X5) ),
inference(split_conjunct,[status(thm)],[i_0_123]),
[final] ).
cnf(i_0_523,plain,
( X7 = X4
| X1 != X2
| X3 != X4
| X5 != vvar(X6)
| X2 != X6
| X7 != vsubst(X1,X3,X5) ),
inference(split_conjunct,[status(thm)],[i_0_124]),
[final] ).
cnf(i_0_524,plain,
vabs(X1,X2,X3) != vapp(X4,X5),
inference(split_conjunct,[status(thm)],[i_0_125]),
[final] ).
cnf(i_0_525,plain,
( X1 = vapp(esk78_2(X1,X2),esk80_2(X1,X2))
| X2 = vnoExp
| epred3_2(X2,X1)
| ~ epred4_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_95]),
[final] ).
cnf(i_0_526,plain,
( X2 = vnoExp
| visSomeExp(esk67_2(X1,X2))
| ~ epred3_2(X2,X1)
| ~ visSomeExp(esk69_2(X1,X2)) ),
inference(cn,[status(thm)],[i_0_126]),
[final] ).
cnf(i_0_527,plain,
( X2 = vnoExp
| esk69_2(X1,X2) = vreduce(esk71_2(X1,X2))
| visSomeExp(esk67_2(X1,X2))
| ~ epred3_2(X2,X1) ),
inference(cn,[status(thm)],[i_0_127]),
[final] ).
cnf(i_0_528,plain,
( X2 = vnoExp
| esk67_2(X1,X2) = vreduce(esk63_2(X1,X2))
| visValue(esk71_2(X1,X2))
| ~ epred3_2(X2,X1) ),
inference(cn,[status(thm)],[i_0_128]),
[final] ).
cnf(i_0_529,plain,
( X5 = vnoExp
| X1 != vabs(X2,X3,X4)
| X5 != vreduce(X1) ),
inference(split_conjunct,[status(thm)],[i_0_129]),
[final] ).
cnf(i_0_530,plain,
vvar(X1) != vabs(X2,X3,X4),
inference(split_conjunct,[status(thm)],[i_0_130]),
[final] ).
cnf(i_0_531,plain,
( visValue(X1)
| X1 != vabs(X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[i_0_131]),
[final] ).
cnf(i_0_532,plain,
( X1 = vapp(esk22_2(X1,X2),esk21_2(X1,X2))
| epred4_2(X2,X1)
| vreduce(X1) != X2 ),
inference(split_conjunct,[status(thm)],[i_0_118]),
[final] ).
cnf(i_0_533,plain,
( vtcheck(X2,vvar(X1),X3)
| vlookup(X1,X2) != vsomeType(X3) ),
inference(split_conjunct,[status(thm)],[i_0_132]),
[final] ).
cnf(i_0_534,plain,
vempty != vbind(X1,X2,X3),
inference(split_conjunct,[status(thm)],[i_0_133]),
[final] ).
cnf(i_0_535,plain,
( X2 = vnoExp
| visValue(esk71_2(X1,X2))
| visSomeExp(esk67_2(X1,X2))
| ~ epred3_2(X2,X1) ),
inference(cn,[status(thm)],[i_0_134]),
[final] ).
cnf(i_0_536,plain,
( esk79_2(X1,X2) = vreduce(esk78_2(X1,X2))
| X2 = vnoExp
| epred3_2(X2,X1)
| ~ epred4_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_95]),
[final] ).
cnf(i_0_537,plain,
( visFreeVar(X3,X4)
| visFreeVar(X3,X5)
| ~ visFreeVar(X1,X2)
| X1 != X3
| X2 != vapp(X4,X5) ),
inference(split_conjunct,[status(thm)],[i_0_135]),
[final] ).
cnf(i_0_538,plain,
( epred4_2(X2,X1)
| ~ visSomeExp(esk23_2(X1,X2))
| vreduce(X1) != X2 ),
inference(split_conjunct,[status(thm)],[i_0_118]),
[final] ).
cnf(i_0_539,plain,
( visSomeExp(esk79_2(X1,X2))
| X2 = vnoExp
| epred3_2(X2,X1)
| ~ epred4_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_95]),
[final] ).
cnf(i_0_540,plain,
( esk23_2(X1,X2) = vreduce(esk22_2(X1,X2))
| epred4_2(X2,X1)
| vreduce(X1) != X2 ),
inference(split_conjunct,[status(thm)],[i_0_118]),
[final] ).
cnf(i_0_541,plain,
( visFreeVar(X3,X4)
| ~ visFreeVar(X1,X2)
| X3 != X1
| X4 != vapp(X2,X5) ),
inference(split_conjunct,[status(thm)],[i_0_135]),
[final] ).
cnf(i_0_542,plain,
( visFreeVar(X3,X4)
| ~ visFreeVar(X1,X2)
| X3 != X1
| X4 != vapp(X5,X2) ),
inference(split_conjunct,[status(thm)],[i_0_135]),
[final] ).
cnf(i_0_543,plain,
( X1 = X2
| varrow(X1,X3) != varrow(X2,X4) ),
inference(split_conjunct,[status(thm)],[i_0_136]),
[final] ).
cnf(i_0_544,plain,
( X1 = X2
| varrow(X3,X1) != varrow(X4,X2) ),
inference(split_conjunct,[status(thm)],[i_0_136]),
[final] ).
cnf(i_0_545,plain,
( X1 = X2
| vapp(X1,X3) != vapp(X2,X4) ),
inference(split_conjunct,[status(thm)],[i_0_137]),
[final] ).
cnf(i_0_546,plain,
( X1 = X2
| vapp(X3,X1) != vapp(X4,X2) ),
inference(split_conjunct,[status(thm)],[i_0_137]),
[final] ).
cnf(i_0_547,plain,
( X3 = X4
| ~ visFreeVar(X1,X2)
| X1 != X4
| X2 != vvar(X3) ),
inference(split_conjunct,[status(thm)],[i_0_138]),
[final] ).
cnf(i_0_548,plain,
( X4 = vnoType
| X1 != X2
| X3 != vempty
| X4 != vlookup(X1,X3) ),
inference(split_conjunct,[status(thm)],[i_0_139]),
[final] ).
cnf(i_0_549,plain,
( X1 != vapp(X2,X3)
| ~ visValue(X1) ),
inference(split_conjunct,[status(thm)],[i_0_140]),
[final] ).
cnf(i_0_550,plain,
( vgensym(X1) != X2
| ~ visFreeVar(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_141]),
[final] ).
cnf(i_0_551,plain,
( visFreeVar(X3,X4)
| X1 != X2
| X3 != X2
| X4 != vvar(X1) ),
inference(split_conjunct,[status(thm)],[i_0_138]),
[final] ).
cnf(i_0_552,plain,
vvar(X1) != vapp(X2,X3),
inference(split_conjunct,[status(thm)],[i_0_142]),
[final] ).
cnf(i_0_553,plain,
( X1 = vnoExp
| epred4_2(X1,X2)
| vreduce(X2) != X1 ),
inference(split_conjunct,[status(thm)],[i_0_118]),
[final] ).
cnf(i_0_554,plain,
( X3 = X2
| X1 != vsomeExp(X2)
| X3 != vgetSomeExp(X1) ),
inference(split_conjunct,[status(thm)],[i_0_143]),
[final] ).
cnf(i_0_555,plain,
( X3 = X2
| X1 != vsomeType(X2)
| X3 != vgetSomeType(X1) ),
inference(split_conjunct,[status(thm)],[i_0_144]),
[final] ).
cnf(i_0_556,plain,
( X3 = vnoExp
| X1 != vvar(X2)
| X3 != vreduce(X1) ),
inference(split_conjunct,[status(thm)],[i_0_145]),
[final] ).
cnf(i_0_557,plain,
( X1 != vvar(X2)
| ~ visValue(X1) ),
inference(split_conjunct,[status(thm)],[i_0_146]),
[final] ).
cnf(i_0_558,plain,
( X1 = X2
| vsomeExp(X1) != vsomeExp(X2) ),
inference(split_conjunct,[status(thm)],[i_0_147]),
[final] ).
cnf(i_0_559,plain,
( X1 = X2
| vsomeType(X1) != vsomeType(X2) ),
inference(split_conjunct,[status(thm)],[i_0_148]),
[final] ).
cnf(i_0_560,plain,
( X1 = X2
| vvar(X1) != vvar(X2) ),
inference(split_conjunct,[status(thm)],[i_0_149]),
[final] ).
cnf(i_0_561,plain,
( visSomeExp(X1)
| X1 != vsomeExp(X2) ),
inference(split_conjunct,[status(thm)],[i_0_150]),
[final] ).
cnf(i_0_562,plain,
( visSomeType(X1)
| X1 != vsomeType(X2) ),
inference(split_conjunct,[status(thm)],[i_0_151]),
[final] ).
cnf(i_0_563,plain,
( X1 != vnoExp
| ~ visSomeExp(X1) ),
inference(split_conjunct,[status(thm)],[i_0_152]),
[final] ).
cnf(i_0_564,plain,
( X1 != vnoType
| ~ visSomeType(X1) ),
inference(split_conjunct,[status(thm)],[i_0_153]),
[final] ).
cnf(i_0_565,plain,
vnoExp != vsomeExp(X1),
inference(split_conjunct,[status(thm)],[i_0_154]),
[final] ).
cnf(i_0_566,plain,
vnoType != vsomeType(X1),
inference(split_conjunct,[status(thm)],[i_0_155]),
[final] ).
cnf(i_0_567,negated_conjecture,
esk32_0 != esk35_0,
inference(split_conjunct,[status(thm)],[i_0_98]),
[final] ).
cnf(i_0_568,axiom,
X1 = X1 ).
cnf(i_0_569,axiom,
( X1 = X2
| X2 != X1 ) ).
cnf(i_0_570,axiom,
( X1 = X2
| X1 != X3
| X3 != X2 ) ).
cnf(i_0_571,axiom,
( X1 != X2
| vsubst(X1,X3,X4) = vsubst(X2,X3,X4) ) ).
cnf(i_0_572,axiom,
( X1 != X2
| vsubst(X3,X1,X4) = vsubst(X3,X2,X4) ) ).
cnf(i_0_573,axiom,
( X1 != X2
| vsubst(X3,X4,X1) = vsubst(X3,X4,X2) ) ).
cnf(i_0_574,axiom,
( X1 != X2
| esk50_4(X1,X3,X4,X5) = esk50_4(X2,X3,X4,X5) ) ).
cnf(i_0_575,axiom,
( X1 != X2
| esk50_4(X3,X1,X4,X5) = esk50_4(X3,X2,X4,X5) ) ).
cnf(i_0_576,axiom,
( X1 != X2
| esk50_4(X3,X4,X1,X5) = esk50_4(X3,X4,X2,X5) ) ).
cnf(i_0_577,axiom,
( X1 != X2
| esk50_4(X3,X4,X5,X1) = esk50_4(X3,X4,X5,X2) ) ).
cnf(i_0_578,axiom,
( X1 != X2
| vapp(X1,X3) = vapp(X2,X3) ) ).
cnf(i_0_579,axiom,
( X1 != X2
| vapp(X3,X1) = vapp(X3,X2) ) ).
cnf(i_0_580,axiom,
( X1 != X2
| esk45_4(X1,X3,X4,X5) = esk45_4(X2,X3,X4,X5) ) ).
cnf(i_0_581,axiom,
( X1 != X2
| esk45_4(X3,X1,X4,X5) = esk45_4(X3,X2,X4,X5) ) ).
cnf(i_0_582,axiom,
( X1 != X2
| esk45_4(X3,X4,X1,X5) = esk45_4(X3,X4,X2,X5) ) ).
cnf(i_0_583,axiom,
( X1 != X2
| esk45_4(X3,X4,X5,X1) = esk45_4(X3,X4,X5,X2) ) ).
cnf(i_0_584,axiom,
( X1 != X2
| esk46_4(X1,X3,X4,X5) = esk46_4(X2,X3,X4,X5) ) ).
cnf(i_0_585,axiom,
( X1 != X2
| esk46_4(X3,X1,X4,X5) = esk46_4(X3,X2,X4,X5) ) ).
cnf(i_0_586,axiom,
( X1 != X2
| esk46_4(X3,X4,X1,X5) = esk46_4(X3,X4,X2,X5) ) ).
cnf(i_0_587,axiom,
( X1 != X2
| esk46_4(X3,X4,X5,X1) = esk46_4(X3,X4,X5,X2) ) ).
cnf(i_0_588,axiom,
( X1 != X2
| esk49_4(X1,X3,X4,X5) = esk49_4(X2,X3,X4,X5) ) ).
cnf(i_0_589,axiom,
( X1 != X2
| esk49_4(X3,X1,X4,X5) = esk49_4(X3,X2,X4,X5) ) ).
cnf(i_0_590,axiom,
( X1 != X2
| esk49_4(X3,X4,X1,X5) = esk49_4(X3,X4,X2,X5) ) ).
cnf(i_0_591,axiom,
( X1 != X2
| esk49_4(X3,X4,X5,X1) = esk49_4(X3,X4,X5,X2) ) ).
cnf(i_0_592,axiom,
( X1 != X2
| esk48_4(X1,X3,X4,X5) = esk48_4(X2,X3,X4,X5) ) ).
cnf(i_0_593,axiom,
( X1 != X2
| esk48_4(X3,X1,X4,X5) = esk48_4(X3,X2,X4,X5) ) ).
cnf(i_0_594,axiom,
( X1 != X2
| esk48_4(X3,X4,X1,X5) = esk48_4(X3,X4,X2,X5) ) ).
cnf(i_0_595,axiom,
( X1 != X2
| esk48_4(X3,X4,X5,X1) = esk48_4(X3,X4,X5,X2) ) ).
cnf(i_0_596,axiom,
( X1 != X2
| esk53_4(X1,X3,X4,X5) = esk53_4(X2,X3,X4,X5) ) ).
cnf(i_0_597,axiom,
( X1 != X2
| esk53_4(X3,X1,X4,X5) = esk53_4(X3,X2,X4,X5) ) ).
cnf(i_0_598,axiom,
( X1 != X2
| esk53_4(X3,X4,X1,X5) = esk53_4(X3,X4,X2,X5) ) ).
cnf(i_0_599,axiom,
( X1 != X2
| esk53_4(X3,X4,X5,X1) = esk53_4(X3,X4,X5,X2) ) ).
cnf(i_0_600,axiom,
( X1 != X2
| vgensym(X1) = vgensym(X2) ) ).
cnf(i_0_601,axiom,
( X1 != X2
| vsomeExp(X1) = vsomeExp(X2) ) ).
cnf(i_0_602,axiom,
( X1 != X2
| vgetSomeExp(X1) = vgetSomeExp(X2) ) ).
cnf(i_0_603,axiom,
( X1 != X2
| vreduce(X1) = vreduce(X2) ) ).
cnf(i_0_604,axiom,
( X1 != X2
| esk10_4(X1,X3,X4,X5) = esk10_4(X2,X3,X4,X5) ) ).
cnf(i_0_605,axiom,
( X1 != X2
| esk10_4(X3,X1,X4,X5) = esk10_4(X3,X2,X4,X5) ) ).
cnf(i_0_606,axiom,
( X1 != X2
| esk10_4(X3,X4,X1,X5) = esk10_4(X3,X4,X2,X5) ) ).
cnf(i_0_607,axiom,
( X1 != X2
| esk10_4(X3,X4,X5,X1) = esk10_4(X3,X4,X5,X2) ) ).
cnf(i_0_608,axiom,
( X1 != X2
| esk12_4(X1,X3,X4,X5) = esk12_4(X2,X3,X4,X5) ) ).
cnf(i_0_609,axiom,
( X1 != X2
| esk12_4(X3,X1,X4,X5) = esk12_4(X3,X2,X4,X5) ) ).
cnf(i_0_610,axiom,
( X1 != X2
| esk12_4(X3,X4,X1,X5) = esk12_4(X3,X4,X2,X5) ) ).
cnf(i_0_611,axiom,
( X1 != X2
| esk12_4(X3,X4,X5,X1) = esk12_4(X3,X4,X5,X2) ) ).
cnf(i_0_612,axiom,
( X1 != X2
| esk54_4(X1,X3,X4,X5) = esk54_4(X2,X3,X4,X5) ) ).
cnf(i_0_613,axiom,
( X1 != X2
| esk54_4(X3,X1,X4,X5) = esk54_4(X3,X2,X4,X5) ) ).
cnf(i_0_614,axiom,
( X1 != X2
| esk54_4(X3,X4,X1,X5) = esk54_4(X3,X4,X2,X5) ) ).
cnf(i_0_615,axiom,
( X1 != X2
| esk54_4(X3,X4,X5,X1) = esk54_4(X3,X4,X5,X2) ) ).
cnf(i_0_616,axiom,
( X1 != X2
| esk13_4(X1,X3,X4,X5) = esk13_4(X2,X3,X4,X5) ) ).
cnf(i_0_617,axiom,
( X1 != X2
| esk13_4(X3,X1,X4,X5) = esk13_4(X3,X2,X4,X5) ) ).
cnf(i_0_618,axiom,
( X1 != X2
| esk13_4(X3,X4,X1,X5) = esk13_4(X3,X4,X2,X5) ) ).
cnf(i_0_619,axiom,
( X1 != X2
| esk13_4(X3,X4,X5,X1) = esk13_4(X3,X4,X5,X2) ) ).
cnf(i_0_620,axiom,
( X1 != X2
| esk39_4(X1,X3,X4,X5) = esk39_4(X2,X3,X4,X5) ) ).
cnf(i_0_621,axiom,
( X1 != X2
| esk39_4(X3,X1,X4,X5) = esk39_4(X3,X2,X4,X5) ) ).
cnf(i_0_622,axiom,
( X1 != X2
| esk39_4(X3,X4,X1,X5) = esk39_4(X3,X4,X2,X5) ) ).
cnf(i_0_623,axiom,
( X1 != X2
| esk39_4(X3,X4,X5,X1) = esk39_4(X3,X4,X5,X2) ) ).
cnf(i_0_624,axiom,
( X1 != X2
| esk42_4(X1,X3,X4,X5) = esk42_4(X2,X3,X4,X5) ) ).
cnf(i_0_625,axiom,
( X1 != X2
| esk42_4(X3,X1,X4,X5) = esk42_4(X3,X2,X4,X5) ) ).
cnf(i_0_626,axiom,
( X1 != X2
| esk42_4(X3,X4,X1,X5) = esk42_4(X3,X4,X2,X5) ) ).
cnf(i_0_627,axiom,
( X1 != X2
| esk42_4(X3,X4,X5,X1) = esk42_4(X3,X4,X5,X2) ) ).
cnf(i_0_628,axiom,
( X1 != X2
| esk43_4(X1,X3,X4,X5) = esk43_4(X2,X3,X4,X5) ) ).
cnf(i_0_629,axiom,
( X1 != X2
| esk43_4(X3,X1,X4,X5) = esk43_4(X3,X2,X4,X5) ) ).
cnf(i_0_630,axiom,
( X1 != X2
| esk43_4(X3,X4,X1,X5) = esk43_4(X3,X4,X2,X5) ) ).
cnf(i_0_631,axiom,
( X1 != X2
| esk43_4(X3,X4,X5,X1) = esk43_4(X3,X4,X5,X2) ) ).
cnf(i_0_632,axiom,
( X1 != X2
| esk38_4(X1,X3,X4,X5) = esk38_4(X2,X3,X4,X5) ) ).
cnf(i_0_633,axiom,
( X1 != X2
| esk38_4(X3,X1,X4,X5) = esk38_4(X3,X2,X4,X5) ) ).
cnf(i_0_634,axiom,
( X1 != X2
| esk38_4(X3,X4,X1,X5) = esk38_4(X3,X4,X2,X5) ) ).
cnf(i_0_635,axiom,
( X1 != X2
| esk38_4(X3,X4,X5,X1) = esk38_4(X3,X4,X5,X2) ) ).
cnf(i_0_636,axiom,
( X1 != X2
| esk40_4(X1,X3,X4,X5) = esk40_4(X2,X3,X4,X5) ) ).
cnf(i_0_637,axiom,
( X1 != X2
| esk40_4(X3,X1,X4,X5) = esk40_4(X3,X2,X4,X5) ) ).
cnf(i_0_638,axiom,
( X1 != X2
| esk40_4(X3,X4,X1,X5) = esk40_4(X3,X4,X2,X5) ) ).
cnf(i_0_639,axiom,
( X1 != X2
| esk40_4(X3,X4,X5,X1) = esk40_4(X3,X4,X5,X2) ) ).
cnf(i_0_640,axiom,
( X1 != X2
| vabs(X1,X3,X4) = vabs(X2,X3,X4) ) ).
cnf(i_0_641,axiom,
( X1 != X2
| vabs(X3,X1,X4) = vabs(X3,X2,X4) ) ).
cnf(i_0_642,axiom,
( X1 != X2
| vabs(X3,X4,X1) = vabs(X3,X4,X2) ) ).
cnf(i_0_643,axiom,
( X1 != X2
| varrow(X1,X3) = varrow(X2,X3) ) ).
cnf(i_0_644,axiom,
( X1 != X2
| varrow(X3,X1) = varrow(X3,X2) ) ).
cnf(i_0_645,axiom,
( X1 != X2
| vbind(X1,X3,X4) = vbind(X2,X3,X4) ) ).
cnf(i_0_646,axiom,
( X1 != X2
| vbind(X3,X1,X4) = vbind(X3,X2,X4) ) ).
cnf(i_0_647,axiom,
( X1 != X2
| vbind(X3,X4,X1) = vbind(X3,X4,X2) ) ).
cnf(i_0_648,axiom,
( X1 != X2
| vlookup(X1,X3) = vlookup(X2,X3) ) ).
cnf(i_0_649,axiom,
( X1 != X2
| vlookup(X3,X1) = vlookup(X3,X2) ) ).
cnf(i_0_650,axiom,
( X1 != X2
| esk57_4(X1,X3,X4,X5) = esk57_4(X2,X3,X4,X5) ) ).
cnf(i_0_651,axiom,
( X1 != X2
| esk57_4(X3,X1,X4,X5) = esk57_4(X3,X2,X4,X5) ) ).
cnf(i_0_652,axiom,
( X1 != X2
| esk57_4(X3,X4,X1,X5) = esk57_4(X3,X4,X2,X5) ) ).
cnf(i_0_653,axiom,
( X1 != X2
| esk57_4(X3,X4,X5,X1) = esk57_4(X3,X4,X5,X2) ) ).
cnf(i_0_654,axiom,
( X1 != X2
| vsomeType(X1) = vsomeType(X2) ) ).
cnf(i_0_655,axiom,
( X1 != X2
| esk67_2(X1,X3) = esk67_2(X2,X3) ) ).
cnf(i_0_656,axiom,
( X1 != X2
| esk67_2(X3,X1) = esk67_2(X3,X2) ) ).
cnf(i_0_657,axiom,
( X1 != X2
| esk41_4(X1,X3,X4,X5) = esk41_4(X2,X3,X4,X5) ) ).
cnf(i_0_658,axiom,
( X1 != X2
| esk41_4(X3,X1,X4,X5) = esk41_4(X3,X2,X4,X5) ) ).
cnf(i_0_659,axiom,
( X1 != X2
| esk41_4(X3,X4,X1,X5) = esk41_4(X3,X4,X2,X5) ) ).
cnf(i_0_660,axiom,
( X1 != X2
| esk41_4(X3,X4,X5,X1) = esk41_4(X3,X4,X5,X2) ) ).
cnf(i_0_661,axiom,
( X1 != X2
| esk69_2(X1,X3) = esk69_2(X2,X3) ) ).
cnf(i_0_662,axiom,
( X1 != X2
| esk69_2(X3,X1) = esk69_2(X3,X2) ) ).
cnf(i_0_663,axiom,
( X1 != X2
| esk7_3(X1,X3,X4) = esk7_3(X2,X3,X4) ) ).
cnf(i_0_664,axiom,
( X1 != X2
| esk7_3(X3,X1,X4) = esk7_3(X3,X2,X4) ) ).
cnf(i_0_665,axiom,
( X1 != X2
| esk7_3(X3,X4,X1) = esk7_3(X3,X4,X2) ) ).
cnf(i_0_666,axiom,
( X1 != X2
| esk4_3(X1,X3,X4) = esk4_3(X2,X3,X4) ) ).
cnf(i_0_667,axiom,
( X1 != X2
| esk4_3(X3,X1,X4) = esk4_3(X3,X2,X4) ) ).
cnf(i_0_668,axiom,
( X1 != X2
| esk4_3(X3,X4,X1) = esk4_3(X3,X4,X2) ) ).
cnf(i_0_669,axiom,
( X1 != X2
| esk56_4(X1,X3,X4,X5) = esk56_4(X2,X3,X4,X5) ) ).
cnf(i_0_670,axiom,
( X1 != X2
| esk56_4(X3,X1,X4,X5) = esk56_4(X3,X2,X4,X5) ) ).
cnf(i_0_671,axiom,
( X1 != X2
| esk56_4(X3,X4,X1,X5) = esk56_4(X3,X4,X2,X5) ) ).
cnf(i_0_672,axiom,
( X1 != X2
| esk56_4(X3,X4,X5,X1) = esk56_4(X3,X4,X5,X2) ) ).
cnf(i_0_673,axiom,
( X1 != X2
| esk1_3(X1,X3,X4) = esk1_3(X2,X3,X4) ) ).
cnf(i_0_674,axiom,
( X1 != X2
| esk1_3(X3,X1,X4) = esk1_3(X3,X2,X4) ) ).
cnf(i_0_675,axiom,
( X1 != X2
| esk1_3(X3,X4,X1) = esk1_3(X3,X4,X2) ) ).
cnf(i_0_676,axiom,
( X1 != X2
| esk8_3(X1,X3,X4) = esk8_3(X2,X3,X4) ) ).
cnf(i_0_677,axiom,
( X1 != X2
| esk8_3(X3,X1,X4) = esk8_3(X3,X2,X4) ) ).
cnf(i_0_678,axiom,
( X1 != X2
| esk8_3(X3,X4,X1) = esk8_3(X3,X4,X2) ) ).
cnf(i_0_679,axiom,
( X1 != X2
| esk3_3(X1,X3,X4) = esk3_3(X2,X3,X4) ) ).
cnf(i_0_680,axiom,
( X1 != X2
| esk3_3(X3,X1,X4) = esk3_3(X3,X2,X4) ) ).
cnf(i_0_681,axiom,
( X1 != X2
| esk3_3(X3,X4,X1) = esk3_3(X3,X4,X2) ) ).
cnf(i_0_682,axiom,
( X1 != X2
| esk79_2(X1,X3) = esk79_2(X2,X3) ) ).
cnf(i_0_683,axiom,
( X1 != X2
| esk79_2(X3,X1) = esk79_2(X3,X2) ) ).
cnf(i_0_684,axiom,
( X1 != X2
| vvar(X1) = vvar(X2) ) ).
cnf(i_0_685,axiom,
( X1 != X2
| esk78_2(X1,X3) = esk78_2(X2,X3) ) ).
cnf(i_0_686,axiom,
( X1 != X2
| esk78_2(X3,X1) = esk78_2(X3,X2) ) ).
cnf(i_0_687,axiom,
( X1 != X2
| esk76_2(X1,X3) = esk76_2(X2,X3) ) ).
cnf(i_0_688,axiom,
( X1 != X2
| esk76_2(X3,X1) = esk76_2(X3,X2) ) ).
cnf(i_0_689,axiom,
( X1 != X2
| esk22_2(X1,X3) = esk22_2(X2,X3) ) ).
cnf(i_0_690,axiom,
( X1 != X2
| esk22_2(X3,X1) = esk22_2(X3,X2) ) ).
cnf(i_0_691,axiom,
( X1 != X2
| esk23_2(X1,X3) = esk23_2(X2,X3) ) ).
cnf(i_0_692,axiom,
( X1 != X2
| esk23_2(X3,X1) = esk23_2(X3,X2) ) ).
cnf(i_0_693,axiom,
( X1 != X2
| vgetSomeType(X1) = vgetSomeType(X2) ) ).
cnf(i_0_694,axiom,
( X1 != X2
| ~ epred1_4(X1,X3,X4,X5)
| epred1_4(X2,X3,X4,X5) ) ).
cnf(i_0_695,axiom,
( X1 != X2
| ~ epred1_4(X3,X1,X4,X5)
| epred1_4(X3,X2,X4,X5) ) ).
cnf(i_0_696,axiom,
( X1 != X2
| ~ epred1_4(X3,X4,X1,X5)
| epred1_4(X3,X4,X2,X5) ) ).
cnf(i_0_697,axiom,
( X1 != X2
| ~ epred1_4(X3,X4,X5,X1)
| epred1_4(X3,X4,X5,X2) ) ).
cnf(i_0_698,axiom,
( X1 != X2
| ~ epred2_4(X1,X3,X4,X5)
| epred2_4(X2,X3,X4,X5) ) ).
cnf(i_0_699,axiom,
( X1 != X2
| ~ epred2_4(X3,X1,X4,X5)
| epred2_4(X3,X2,X4,X5) ) ).
cnf(i_0_700,axiom,
( X1 != X2
| ~ epred2_4(X3,X4,X1,X5)
| epred2_4(X3,X4,X2,X5) ) ).
cnf(i_0_701,axiom,
( X1 != X2
| ~ epred2_4(X3,X4,X5,X1)
| epred2_4(X3,X4,X5,X2) ) ).
cnf(i_0_702,axiom,
( X1 != X2
| ~ visFreeVar(X1,X3)
| visFreeVar(X2,X3) ) ).
cnf(i_0_703,axiom,
( X1 != X2
| ~ visFreeVar(X3,X1)
| visFreeVar(X3,X2) ) ).
cnf(i_0_704,axiom,
( X1 != X2
| ~ visSomeExp(X1)
| visSomeExp(X2) ) ).
cnf(i_0_705,axiom,
( X1 != X2
| ~ vtcheck(X1,X3,X4)
| vtcheck(X2,X3,X4) ) ).
cnf(i_0_706,axiom,
( X1 != X2
| ~ vtcheck(X3,X1,X4)
| vtcheck(X3,X2,X4) ) ).
cnf(i_0_707,axiom,
( X1 != X2
| ~ vtcheck(X3,X4,X1)
| vtcheck(X3,X4,X2) ) ).
cnf(i_0_708,axiom,
( X1 != X2
| ~ epred3_2(X1,X3)
| epred3_2(X2,X3) ) ).
cnf(i_0_709,axiom,
( X1 != X2
| ~ epred3_2(X3,X1)
| epred3_2(X3,X2) ) ).
cnf(i_0_710,axiom,
( X1 != X2
| ~ visValue(X1)
| visValue(X2) ) ).
cnf(i_0_711,axiom,
( X1 != X2
| ~ epred4_2(X1,X3)
| epred4_2(X2,X3) ) ).
cnf(i_0_712,axiom,
( X1 != X2
| ~ epred4_2(X3,X1)
| epred4_2(X3,X2) ) ).
cnf(i_0_713,axiom,
( X1 != X2
| ~ visSomeType(X1)
| visSomeType(X2) ) ).
cnf(i_0_754,plain,
X1 = X1,
inference(equality_inference,[],[489]) ).
cnf(i_0_755,plain,
X1 = X1,
inference(equality_inference,[],[490]) ).
cnf(i_0_756,plain,
X1 = X1,
inference(equality_inference,[],[491]) ).
cnf(i_0_757,plain,
X1 = 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_762,plain,
visValue(vabs(X1,X2,X3)),
inference(equality_inference,[],[531]) ).
cnf(i_0_766,plain,
X1 = X1,
inference(equality_inference,[],[543]) ).
cnf(i_0_767,plain,
X1 = X1,
inference(equality_inference,[],[544]) ).
cnf(i_0_768,plain,
X1 = X1,
inference(equality_inference,[],[545]) ).
cnf(i_0_769,plain,
X1 = X1,
inference(equality_inference,[],[546]) ).
cnf(i_0_770,plain,
~ visValue(vapp(X1,X2)),
inference(equality_inference,[],[549]) ).
cnf(i_0_771,plain,
~ visFreeVar(vgensym(X1),X1),
inference(equality_inference,[],[550]) ).
cnf(i_0_773,plain,
~ visValue(vvar(X1)),
inference(equality_inference,[],[557]) ).
cnf(i_0_774,plain,
X1 = X1,
inference(equality_inference,[],[558]) ).
cnf(i_0_775,plain,
X1 = X1,
inference(equality_inference,[],[559]) ).
cnf(i_0_776,plain,
X1 = X1,
inference(equality_inference,[],[560]) ).
cnf(i_0_777,plain,
visSomeExp(vsomeExp(X1)),
inference(equality_inference,[],[561]) ).
cnf(i_0_778,plain,
visSomeType(vsomeType(X1)),
inference(equality_inference,[],[562]) ).
cnf(i_0_779,plain,
~ visSomeExp(vnoExp),
inference(equality_inference,[],[563]) ).
cnf(i_0_780,plain,
~ visSomeType(vnoType),
inference(equality_inference,[],[564]) ).
cnf(i_0_782,plain,
vvar(X1) != vabs(X2,X3,X4),
inference(rename_variables,[],[i_0_530]) ).
cnf(i_0_785,plain,
vabs(X1,X2,X3) != vapp(X4,X5),
inference(rename_variables,[],[i_0_524]) ).
cnf(i_0_795,plain,
vvar(X1) != vabs(X2,X3,X4),
inference(rename_variables,[],[i_0_530]) ).
cnf(i_0_798,plain,
vvar(X1) != vabs(X2,X3,X4),
inference(rename_variables,[],[i_0_530]) ).
cnf(i_0_806,plain,
vvar(X1) != vapp(X2,X3),
inference(rename_variables,[],[i_0_552]) ).
cnf(i_0_809,plain,
vvar(X1) != vapp(X2,X3),
inference(rename_variables,[],[i_0_552]) ).
cnf(i_0_812,plain,
vnoExp != vsomeExp(X1),
inference(rename_variables,[],[i_0_565]) ).
cnf(i_0_813,plain,
vvar(X1) != vapp(X2,X3),
inference(rename_variables,[],[i_0_552]) ).
cnf(i_0_816,plain,
vnoExp != vsomeExp(X1),
inference(rename_variables,[],[i_0_565]) ).
cnf(i_0_817,plain,
vvar(X1) != vabs(X2,X3,X4),
inference(rename_variables,[],[i_0_530]) ).
cnf(i_0_818,plain,
vvar(X1) != vapp(X2,X3),
inference(rename_variables,[],[i_0_552]) ).
cnf(i_0_828,plain,
vempty != vbind(X1,X2,X3),
inference(rename_variables,[],[i_0_534]) ).
cnf(i_0_831,plain,
vempty != vbind(X1,X2,X3),
inference(rename_variables,[],[i_0_534]) ).
cnf(i_0_832,plain,
vempty != vbind(X1,X2,X3),
inference(rename_variables,[],[i_0_534]) ).
cnf(i_0_834,plain,
vvar(X1) != vabs(X2,X3,X4),
inference(rename_variables,[],[i_0_530]) ).
cnf(i_0_835,plain,
vvar(X1) != vabs(X2,X3,X4),
inference(rename_variables,[],[i_0_530]) ).
cnf(i_0_836,plain,
vabs(X1,X2,X3) != vapp(X4,X5),
inference(rename_variables,[],[i_0_524]) ).
cnf(i_0_846,plain,
vvar(X1) != vapp(X2,X3),
inference(rename_variables,[],[i_0_552]) ).
cnf(i_0_894,plain,
vabs(X1,X2,X3) != vapp(X4,X5),
inference(rename_variables,[],[i_0_524]) ).
cnf(i_0_909,plain,
vabs(X1,X2,X3) != vapp(X4,X5),
inference(rename_variables,[],[i_0_524]) ).
cnf(i_0_1051,plain,
vempty != vbind(X1,X2,X3),
inference(rename_variables,[],[i_0_534]) ).
cnf(i_0_1052,plain,
vempty != vbind(X1,X2,X3),
inference(rename_variables,[],[i_0_534]) ).
cnf(i_0_1068,plain,
vvar(X1) != vabs(X2,X3,X4),
inference(rename_variables,[],[i_0_530]) ).
cnf(i_0_1069,plain,
vvar(X1) != vapp(X2,X3),
inference(rename_variables,[],[i_0_552]) ).
cnf(i_0_1072,plain,
vvar(X1) != vabs(X2,X3,X4),
inference(rename_variables,[],[i_0_530]) ).
cnf(i_0_1073,plain,
vvar(X1) != vapp(X2,X3),
inference(rename_variables,[],[i_0_552]) ).
cnf(i_0_1081,plain,
vvar(X1) != vabs(X2,X3,X4),
inference(rename_variables,[],[i_0_530]) ).
cnf(i_0_1117,plain,
vvar(X1) != vabs(X2,X3,X4),
inference(rename_variables,[],[i_0_530]) ).
cnf(i_0_1119,plain,
vvar(X1) != vabs(X2,X3,X4),
inference(rename_variables,[],[i_0_530]) ).
cnf(i_0_1120,plain,
vempty != vbind(X1,X2,X3),
inference(rename_variables,[],[i_0_534]) ).
cnf(i_0_1122,plain,
vabs(X1,X2,X3) != vapp(X4,X5),
inference(rename_variables,[],[i_0_524]) ).
cnf(i_0_1127,plain,
vnoType != vsomeType(X1),
inference(rename_variables,[],[i_0_566]) ).
cnf(i_0_1128,plain,
vempty != vbind(X1,X2,X3),
inference(rename_variables,[],[i_0_534]) ).
cnf(i_0_1145,plain,
vabs(X1,X2,X3) != vapp(X4,X5),
inference(rename_variables,[],[i_0_524]) ).
cnf(i_0_1147,plain,
vvar(X1) != vabs(X2,X3,X4),
inference(rename_variables,[],[i_0_530]) ).
cnf(i_0_1148,plain,
vvar(X1) != vabs(X2,X3,X4),
inference(rename_variables,[],[i_0_530]) ).
cnf(i_0_1150,plain,
vabs(X1,X2,X3) != vapp(X4,X5),
inference(rename_variables,[],[i_0_524]) ).
cnf(i_0_1155,plain,
vvar(X1) != vapp(X2,X3),
inference(rename_variables,[],[i_0_552]) ).
cnf(i_0_1161,plain,
vempty != vbind(X1,X2,X3),
inference(rename_variables,[],[i_0_534]) ).
cnf(i_0_1168,plain,
vvar(X1) != vapp(X2,X3),
inference(rename_variables,[],[i_0_552]) ).
cnf(i_0_1170,plain,
vnoType != vsomeType(X1),
inference(rename_variables,[],[i_0_566]) ).
cnf(i_0_1171,plain,
vnoType != vsomeType(X1),
inference(rename_variables,[],[i_0_566]) ).
cnf(i_0_1177,plain,
vabs(X1,X2,X3) != vapp(X4,X5),
inference(rename_variables,[],[i_0_524]) ).
cnf(i_0_1180,plain,
vabs(X1,X2,X3) != vapp(X4,X5),
inference(rename_variables,[],[i_0_524]) ).
cnf(i_0_1183,plain,
vabs(X1,X2,X3) != vapp(X4,X5),
inference(rename_variables,[],[i_0_524]) ).
cnf(i_0_1186,plain,
vabs(X1,X2,X3) != vapp(X4,X5),
inference(rename_variables,[],[i_0_524]) ).
cnf(i_0_1189,plain,
vempty != vbind(X1,X2,X3),
inference(rename_variables,[],[i_0_534]) ).
cnf(i_0_1191,plain,
vvar(X1) != vabs(X2,X3,X4),
inference(rename_variables,[],[i_0_530]) ).
cnf(i_0_1196,plain,
vabs(X1,X2,X3) != vapp(X4,X5),
inference(rename_variables,[],[i_0_524]) ).
cnf(i_0_1207,plain,
vvar(X1) != vabs(X2,X3,X4),
inference(rename_variables,[],[i_0_530]) ).
cnf(i_0_1208,plain,
vvar(X1) != vapp(X2,X3),
inference(rename_variables,[],[i_0_552]) ).
cnf(i_0_1224,plain,
vnoExp != vsomeExp(X1),
inference(rename_variables,[],[i_0_565]) ).
cnf(i_0_1225,plain,
vabs(X1,X2,X3) != vapp(X4,X5),
inference(rename_variables,[],[i_0_524]) ).
cnf(i_0_1228,plain,
vnoExp != vsomeExp(X1),
inference(rename_variables,[],[i_0_565]) ).
cnf(i_0_1229,plain,
vabs(X1,X2,X3) != vapp(X4,X5),
inference(rename_variables,[],[i_0_524]) ).
cnf(i_0_1256,plain,
vnoType != vsomeType(X1),
inference(rename_variables,[],[i_0_566]) ).
cnf(i_0_1257,plain,
vnoType != vsomeType(X1),
inference(rename_variables,[],[i_0_566]) ).
cnf(i_0_1267,plain,
vvar(X1) != vapp(X2,X3),
inference(rename_variables,[],[i_0_552]) ).
cnf(i_0_1270,plain,
vvar(X1) != vapp(X2,X3),
inference(rename_variables,[],[i_0_552]) ).
cnf(i_0_1273,plain,
vvar(X1) != vapp(X2,X3),
inference(rename_variables,[],[i_0_552]) ).
cnf(i_0_1276,plain,
vvar(X1) != vapp(X2,X3),
inference(rename_variables,[],[i_0_552]) ).
cnf(i_0_1286,plain,
vvar(X1) != vapp(X2,X3),
inference(rename_variables,[],[i_0_552]) ).
cnf(i_0_1295,plain,
vabs(X1,X2,X3) != vapp(X4,X5),
inference(rename_variables,[],[i_0_524]) ).
cnf(i_0_1309,plain,
vempty != vbind(X1,X2,X3),
inference(rename_variables,[],[i_0_534]) ).
cnf(i_0_1311,plain,
vempty != vbind(X1,X2,X3),
inference(rename_variables,[],[i_0_534]) ).
cnf(i_0_1312,plain,
vvar(X1) != vabs(X2,X3,X4),
inference(rename_variables,[],[i_0_530]) ).
cnf(i_0_1351,plain,
vabs(X1,X2,X3) != vapp(X4,X5),
inference(rename_variables,[],[i_0_524]) ).
cnf(i_0_1353,plain,
vnoExp != vsomeExp(X1),
inference(rename_variables,[],[i_0_565]) ).
cnf(i_0_1356,plain,
vabs(X1,X2,X3) != vapp(X4,X5),
inference(rename_variables,[],[i_0_524]) ).
cnf(i_0_1358,plain,
vnoType != vsomeType(X1),
inference(rename_variables,[],[i_0_566]) ).
cnf(i_0_1359,plain,
vempty != vbind(X1,X2,X3),
inference(rename_variables,[],[i_0_534]) ).
cnf(i_0_1363,plain,
vvar(X1) != vapp(X2,X3),
inference(rename_variables,[],[i_0_552]) ).
cnf(i_0_1367,plain,
vvar(X1) != vapp(X2,X3),
inference(rename_variables,[],[i_0_552]) ).
cnf(i_0_1368,plain,
vvar(X1) != vabs(X2,X3,X4),
inference(rename_variables,[],[i_0_530]) ).
cnf(i_0_1378,plain,
vvar(X1) != vapp(X2,X3),
inference(rename_variables,[],[i_0_552]) ).
cnf(i_0_1405,plain,
vempty != vbind(X1,X2,X3),
inference(rename_variables,[],[i_0_534]) ).
cnf(i_0_1451,plain,
vnoType != vsomeType(X1),
inference(rename_variables,[],[i_0_566]) ).
cnf(i_0_1463,plain,
vvar(X1) != vapp(X2,X3),
inference(rename_variables,[],[i_0_552]) ).
cnf(i_0_1476,plain,
vabs(X1,X2,X3) != vapp(X4,X5),
inference(rename_variables,[],[i_0_524]) ).
cnf(i_0_1480,plain,
vempty != vbind(X1,X2,X3),
inference(rename_variables,[],[i_0_534]) ).
cnf(i_0_1481,plain,
vempty != vbind(X1,X2,X3),
inference(rename_variables,[],[i_0_534]) ).
cnf(i_0_1484,plain,
vabs(X1,X2,X3) != vapp(X4,X5),
inference(rename_variables,[],[i_0_524]) ).
cnf(i_0_1487,plain,
vvar(X1) != vabs(X2,X3,X4),
inference(rename_variables,[],[i_0_530]) ).
cnf(i_0_1495,plain,
vabs(X1,X2,X3) != vapp(X4,X5),
inference(rename_variables,[],[i_0_524]) ).
cnf(i_0_1502,plain,
vvar(X1) != vapp(X2,X3),
inference(rename_variables,[],[i_0_552]) ).
cnf(i_0_1513,plain,
vvar(X1) != vapp(X2,X3),
inference(rename_variables,[],[i_0_552]) ).
cnf(i_0_1521,plain,
vvar(X1) != vapp(X2,X3),
inference(rename_variables,[],[i_0_552]) ).
cnf(i_0_1600,plain,
vnoType != vsomeType(X1),
inference(rename_variables,[],[i_0_566]) ).
cnf(i_0_1648,plain,
vvar(X1) != vabs(X2,X3,X4),
inference(rename_variables,[],[i_0_530]) ).
cnf(i_0_1649,plain,
vvar(X1) != vabs(X2,X3,X4),
inference(rename_variables,[],[i_0_530]) ).
cnf(i_0_1663,plain,
vvar(X1) != vabs(X2,X3,X4),
inference(rename_variables,[],[i_0_530]) ).
cnf(i_0_1664,plain,
vvar(X1) != vabs(X2,X3,X4),
inference(rename_variables,[],[i_0_530]) ).
cnf(i_0_1673,plain,
vempty != vbind(X1,X2,X3),
inference(rename_variables,[],[i_0_534]) ).
cnf(i_0_1674,plain,
vempty != vbind(X1,X2,X3),
inference(rename_variables,[],[i_0_534]) ).
cnf(i_0_1679,plain,
vvar(X1) != vapp(X2,X3),
inference(rename_variables,[],[i_0_552]) ).
cnf(i_0_1680,plain,
vvar(X1) != vabs(X2,X3,X4),
inference(rename_variables,[],[i_0_530]) ).
cnf(i_0_1702,plain,
vvar(X1) != vapp(X2,X3),
inference(rename_variables,[],[i_0_552]) ).
cnf(i_0_1703,plain,
vvar(X1) != vabs(X2,X3,X4),
inference(rename_variables,[],[i_0_530]) ).
cnf(i_0_1706,plain,
vnoType != vsomeType(X1),
inference(rename_variables,[],[i_0_566]) ).
cnf(i_0_1707,plain,
vnoType != vsomeType(X1),
inference(rename_variables,[],[i_0_566]) ).
cnf(i_0_1709,plain,
vvar(X1) != vapp(X2,X3),
inference(rename_variables,[],[i_0_552]) ).
cnf(i_0_1710,plain,
vvar(X1) != vabs(X2,X3,X4),
inference(rename_variables,[],[i_0_530]) ).
cnf(i_0_1714,plain,
vabs(X1,X2,X3) != vapp(X4,X5),
inference(rename_variables,[],[i_0_524]) ).
cnf(i_0_1718,plain,
vempty != vbind(X1,X2,X3),
inference(rename_variables,[],[i_0_534]) ).
cnf(i_0_1726,plain,
vempty != vbind(X1,X2,X3),
inference(rename_variables,[],[i_0_534]) ).
cnf(i_0_1727,plain,
vempty != vbind(X1,X2,X3),
inference(rename_variables,[],[i_0_534]) ).
cnf(i_0_1730,plain,
vvar(X1) != vapp(X2,X3),
inference(rename_variables,[],[i_0_552]) ).
cnf(i_0_1734,plain,
vempty != vbind(X1,X2,X3),
inference(rename_variables,[],[i_0_534]) ).
cnf(i_0_1739,plain,
vvar(X1) != vabs(X2,X3,X4),
inference(rename_variables,[],[i_0_530]) ).
cnf(i_0_1745,plain,
vvar(X1) != vapp(X2,X3),
inference(rename_variables,[],[i_0_552]) ).
cnf(i_0_1746,plain,
vvar(X1) != vabs(X2,X3,X4),
inference(rename_variables,[],[i_0_530]) ).
cnf(i_0_1760,plain,
vvar(X1) != vapp(X2,X3),
inference(rename_variables,[],[i_0_552]) ).
cnf(i_0_1761,plain,
vvar(X1) != vabs(X2,X3,X4),
inference(rename_variables,[],[i_0_530]) ).
cnf(i_0_1775,plain,
vvar(X1) != vabs(X2,X3,X4),
inference(rename_variables,[],[i_0_530]) ).
cnf(i_0_1776,plain,
vvar(X1) != vapp(X2,X3),
inference(rename_variables,[],[i_0_552]) ).
cnf(i_0_1778,plain,
vnoType != vsomeType(X1),
inference(rename_variables,[],[i_0_566]) ).
cnf(i_0_1779,plain,
vnoType != vsomeType(X1),
inference(rename_variables,[],[i_0_566]) ).
cnf(i_0_1781,plain,
vvar(X1) != vapp(X2,X3),
inference(rename_variables,[],[i_0_552]) ).
cnf(i_0_1782,plain,
vvar(X1) != vabs(X2,X3,X4),
inference(rename_variables,[],[i_0_530]) ).
cnf(i_0_1788,plain,
vnoExp != vsomeExp(X1),
inference(rename_variables,[],[i_0_565]) ).
cnf(i_0_1789,plain,
vnoExp != vsomeExp(X1),
inference(rename_variables,[],[i_0_565]) ).
cnf(i_0_1791,plain,
vnoExp != vsomeExp(X1),
inference(rename_variables,[],[i_0_565]) ).
cnf(i_0_1792,plain,
vabs(X1,X2,X3) != vapp(X4,X5),
inference(rename_variables,[],[i_0_524]) ).
cnf(i_0_1795,plain,
vnoExp != vsomeExp(X1),
inference(rename_variables,[],[i_0_565]) ).
cnf(i_0_1796,plain,
vnoType != vsomeType(X1),
inference(rename_variables,[],[i_0_566]) ).
cnf(i_0_1797,plain,
vnoType != vsomeType(X1),
inference(rename_variables,[],[i_0_566]) ).
cnf(i_0_1799,plain,
vvar(X1) != vabs(X2,X3,X4),
inference(rename_variables,[],[i_0_530]) ).
cnf(i_0_1800,plain,
vvar(X1) != vabs(X2,X3,X4),
inference(rename_variables,[],[i_0_530]) ).
cnf(i_0_1801,plain,
vvar(X1) != vabs(X2,X3,X4),
inference(rename_variables,[],[i_0_530]) ).
cnf(i_0_1803,plain,
vvar(X1) != vabs(X2,X3,X4),
inference(rename_variables,[],[i_0_530]) ).
cnf(i_0_1804,plain,
vnoType != vsomeType(X1),
inference(rename_variables,[],[i_0_566]) ).
cnf(i_0_1805,plain,
vnoType != vsomeType(X1),
inference(rename_variables,[],[i_0_566]) ).
cnf(i_0_1807,plain,
vnoType != vsomeType(X1),
inference(rename_variables,[],[i_0_566]) ).
cnf(i_0_1808,plain,
vnoType != vsomeType(X1),
inference(rename_variables,[],[i_0_566]) ).
cnf(i_0_1810,plain,
vnoExp != vsomeExp(X1),
inference(rename_variables,[],[i_0_565]) ).
cnf(i_0_1811,plain,
vnoExp != vsomeExp(X1),
inference(rename_variables,[],[i_0_565]) ).
cnf(i_0_1812,plain,
vnoExp != vsomeExp(X1),
inference(rename_variables,[],[i_0_565]) ).
cnf(i_0_1815,plain,
vnoExp != vsomeExp(X1),
inference(rename_variables,[],[i_0_565]) ).
cnf(i_0_1816,plain,
vvar(X1) != vapp(X2,X3),
inference(rename_variables,[],[i_0_552]) ).
cnf(i_0_1818,plain,
vnoType != vsomeType(X1),
inference(rename_variables,[],[i_0_566]) ).
cnf(i_0_1819,plain,
vnoExp != vsomeExp(X1),
inference(rename_variables,[],[i_0_565]) ).
cnf(i_0_1820,plain,
vvar(X1) != vabs(X2,X3,X4),
inference(rename_variables,[],[i_0_530]) ).
cnf(i_0_1822,plain,
vnoType != vsomeType(X1),
inference(rename_variables,[],[i_0_566]) ).
cnf(i_0_1823,plain,
vvar(X1) != vabs(X2,X3,X4),
inference(rename_variables,[],[i_0_530]) ).
cnf(i_0_1824,plain,
vvar(X1) != vabs(X2,X3,X4),
inference(rename_variables,[],[i_0_530]) ).
cnf(i_0_1826,plain,
vvar(X1) != vabs(X2,X3,X4),
inference(rename_variables,[],[i_0_530]) ).
cnf(i_0_1827,plain,
vvar(X1) != vabs(X2,X3,X4),
inference(rename_variables,[],[i_0_530]) ).
cnf(i_0_1830,plain,
vnoType != vsomeType(X1),
inference(rename_variables,[],[i_0_566]) ).
cnf(i_0_1831,plain,
vnoType != vsomeType(X1),
inference(rename_variables,[],[i_0_566]) ).
cnf(i_0_1832,plain,
vnoType != vsomeType(X1),
inference(rename_variables,[],[i_0_566]) ).
cnf(i_0_1834,plain,
vnoType != vsomeType(X1),
inference(rename_variables,[],[i_0_566]) ).
cnf(i_0_1835,plain,
vnoExp != vsomeExp(X1),
inference(rename_variables,[],[i_0_565]) ).
cnf(i_0_1836,plain,
vnoExp != vsomeExp(X1),
inference(rename_variables,[],[i_0_565]) ).
cnf(i_0_1838,plain,
vnoExp != vsomeExp(X1),
inference(rename_variables,[],[i_0_565]) ).
cnf(i_0_1839,plain,
vnoType != vsomeType(X1),
inference(rename_variables,[],[i_0_566]) ).
cnf(i_0_1841,plain,
vnoType != vsomeType(X1),
inference(rename_variables,[],[i_0_566]) ).
cnf(i_0_1842,plain,
vvar(X1) != vabs(X2,X3,X4),
inference(rename_variables,[],[i_0_530]) ).
cnf(i_0_1843,plain,
vvar(X1) != vabs(X2,X3,X4),
inference(rename_variables,[],[i_0_530]) ).
cnf(i_0_1845,plain,
vvar(X1) != vabs(X2,X3,X4),
inference(rename_variables,[],[i_0_530]) ).
cnf(i_0_1846,plain,
vvar(X1) != vabs(X2,X3,X4),
inference(rename_variables,[],[i_0_530]) ).
cnf(i_0_1847,plain,
vvar(X1) != vapp(X2,X3),
inference(rename_variables,[],[i_0_552]) ).
cnf(i_0_1849,plain,
vnoType != vsomeType(X1),
inference(rename_variables,[],[i_0_566]) ).
cnf(i_0_1850,plain,
vnoType != vsomeType(X1),
inference(rename_variables,[],[i_0_566]) ).
cnf(i_0_1851,plain,
vnoType != vsomeType(X1),
inference(rename_variables,[],[i_0_566]) ).
cnf(i_0_1853,plain,
vnoType != vsomeType(X1),
inference(rename_variables,[],[i_0_566]) ).
cnf(i_0_1854,plain,
vnoExp != vsomeExp(X1),
inference(rename_variables,[],[i_0_565]) ).
cnf(i_0_1857,plain,
vempty != vbind(X1,X2,X3),
inference(rename_variables,[],[i_0_534]) ).
cnf(i_0_1860,plain,
vempty != vbind(X1,X2,X3),
inference(rename_variables,[],[i_0_534]) ).
cnf(i_0_1863,plain,
vempty != vbind(X1,X2,X3),
inference(rename_variables,[],[i_0_534]) ).
cnf(i_0_1866,plain,
vempty != vbind(X1,X2,X3),
inference(rename_variables,[],[i_0_534]) ).
cnf(i_0_1870,plain,
vnoExp != vsomeExp(X1),
inference(rename_variables,[],[i_0_565]) ).
cnf(i_0_1871,plain,
vnoExp != vsomeExp(X1),
inference(rename_variables,[],[i_0_565]) ).
cnf(i_0_1873,plain,
vnoType != vsomeType(X1),
inference(rename_variables,[],[i_0_566]) ).
cnf(i_0_1874,plain,
vnoType != vsomeType(X1),
inference(rename_variables,[],[i_0_566]) ).
cnf(i_0_1875,plain,
vvar(X1) != vabs(X2,X3,X4),
inference(rename_variables,[],[i_0_530]) ).
cnf(i_0_1877,plain,
vvar(X1) != vabs(X2,X3,X4),
inference(rename_variables,[],[i_0_530]) ).
cnf(i_0_1878,plain,
vvar(X1) != vabs(X2,X3,X4),
inference(rename_variables,[],[i_0_530]) ).
cnf(i_0_1879,plain,
vvar(X1) != vabs(X2,X3,X4),
inference(rename_variables,[],[i_0_530]) ).
cnf(i_0_1881,plain,
vnoType != vsomeType(X1),
inference(rename_variables,[],[i_0_566]) ).
cnf(c_0_584,plain,
( X1 = vapp(esk29_3(X1,X2,X3),esk30_3(X1,X2,X3))
| X1 = vabs(esk25_3(X1,X2,X3),esk27_3(X1,X2,X3),esk26_3(X1,X2,X3))
| X1 = vvar(esk24_3(X1,X2,X3))
| ~ vtcheck(X3,X1,X2) ),
i_0_356 ).
cnf(c_0_585,negated_conjecture,
vtcheck(esk34_0,vabs(esk35_0,esk36_0,veabs),esk37_0),
i_0_497 ).
cnf(c_0_586,plain,
vabs(X1,X2,X3) != vapp(X4,X5),
i_0_524 ).
cnf(c_0_587,plain,
vvar(X1) != vabs(X2,X3,X4),
i_0_530 ).
cnf(c_0_588,plain,
( X1 = X2
| vabs(X1,X3,X4) != vabs(X2,X5,X6) ),
i_0_492 ).
cnf(c_0_589,negated_conjecture,
vabs(esk25_3(vabs(esk35_0,esk36_0,veabs),esk37_0,esk34_0),esk27_3(vabs(esk35_0,esk36_0,veabs),esk37_0,esk34_0),esk26_3(vabs(esk35_0,esk36_0,veabs),esk37_0,esk34_0)) = vabs(esk35_0,esk36_0,veabs),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_584,c_0_585]),c_0_586]),c_0_587]) ).
cnf(c_0_590,plain,
( X1 = esk25_3(vabs(esk35_0,esk36_0,veabs),esk37_0,esk34_0)
| vabs(X1,X2,X3) != vabs(esk35_0,esk36_0,veabs) ),
inference(spm,[status(thm)],[c_0_588,c_0_589]) ).
cnf(c_0_591,plain,
esk25_3(vabs(esk35_0,esk36_0,veabs),esk37_0,esk34_0) = esk35_0,
inference(er,[status(thm)],[c_0_590]) ).
cnf(c_0_592,plain,
( X1 = X2
| vabs(X3,X1,X4) != vabs(X5,X2,X6) ),
i_0_493 ).
cnf(c_0_593,negated_conjecture,
vabs(esk35_0,esk27_3(vabs(esk35_0,esk36_0,veabs),esk37_0,esk34_0),esk26_3(vabs(esk35_0,esk36_0,veabs),esk37_0,esk34_0)) = vabs(esk35_0,esk36_0,veabs),
inference(rw,[status(thm)],[c_0_589,c_0_591]) ).
cnf(c_0_594,plain,
( esk27_3(vabs(esk35_0,esk36_0,veabs),esk37_0,esk34_0) = X1
| vabs(esk35_0,esk36_0,veabs) != vabs(X2,X1,X3) ),
inference(spm,[status(thm)],[c_0_592,c_0_593]) ).
cnf(c_0_595,plain,
esk27_3(vabs(esk35_0,esk36_0,veabs),esk37_0,esk34_0) = esk36_0,
inference(er,[status(thm)],[c_0_594]) ).
cnf(c_0_596,plain,
( X1 = X2
| vabs(X3,X4,X1) != vabs(X5,X6,X2) ),
i_0_494 ).
cnf(c_0_597,negated_conjecture,
vabs(esk35_0,esk36_0,esk26_3(vabs(esk35_0,esk36_0,veabs),esk37_0,esk34_0)) = vabs(esk35_0,esk36_0,veabs),
inference(rw,[status(thm)],[c_0_593,c_0_595]) ).
cnf(c_0_598,plain,
( esk26_3(vabs(esk35_0,esk36_0,veabs),esk37_0,esk34_0) = X1
| vabs(esk35_0,esk36_0,veabs) != vabs(X2,X3,X1) ),
inference(spm,[status(thm)],[c_0_596,c_0_597]) ).
cnf(c_0_599,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) ),
i_0_376 ).
cnf(c_0_600,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) ),
i_0_315 ).
cnf(c_0_601,plain,
esk26_3(vabs(esk35_0,esk36_0,veabs),esk37_0,esk34_0) = veabs,
inference(er,[status(thm)],[c_0_598]) ).
cnf(c_0_602,plain,
( vtcheck(X1,vabs(X2,X3,X4),varrow(X3,X5))
| ~ vtcheck(vbind(X2,X3,X1),X4,X5) ),
i_0_416 ).
cnf(c_0_603,negated_conjecture,
varrow(esk27_3(vabs(esk35_0,esk36_0,veabs),esk37_0,esk34_0),esk28_3(vabs(esk35_0,esk36_0,veabs),esk37_0,esk34_0)) = esk37_0,
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_599,c_0_585]),c_0_586]),c_0_587]) ).
cnf(c_0_604,plain,
( visFreeVar(X1,veabs)
| vtcheck(vbind(X1,X2,X3),veabs,X4)
| ~ vtcheck(X3,veabs,X4) ),
i_0_465 ).
cnf(c_0_605,negated_conjecture,
vtcheck(vbind(esk35_0,esk36_0,esk34_0),veabs,esk28_3(vabs(esk35_0,esk36_0,veabs),esk37_0,esk34_0)),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_600,c_0_585]),c_0_591]),c_0_595]),c_0_601]),c_0_586]),c_0_587]) ).
cnf(c_0_606,plain,
( vtcheck(X1,vabs(X2,esk27_3(vabs(esk35_0,esk36_0,veabs),esk37_0,esk34_0),X3),esk37_0)
| ~ vtcheck(vbind(X2,esk27_3(vabs(esk35_0,esk36_0,veabs),esk37_0,esk34_0),X1),X3,esk28_3(vabs(esk35_0,esk36_0,veabs),esk37_0,esk34_0)) ),
inference(spm,[status(thm)],[c_0_602,c_0_603]) ).
cnf(c_0_607,plain,
( X1 = X2
| vtcheck(vbind(X2,X3,vbind(X1,X4,X5)),X6,X7)
| ~ vtcheck(vbind(X1,X4,vbind(X2,X3,X5)),X6,X7) ),
i_0_336 ).
cnf(c_0_608,plain,
( vtcheck(vbind(X1,X2,vbind(esk35_0,esk36_0,esk34_0)),veabs,esk28_3(vabs(esk35_0,esk36_0,veabs),esk37_0,esk34_0))
| visFreeVar(X1,veabs) ),
inference(spm,[status(thm)],[c_0_604,c_0_605]) ).
cnf(c_0_609,plain,
( vtcheck(X1,vabs(X2,esk36_0,X3),esk37_0)
| ~ vtcheck(vbind(X2,esk36_0,X1),X3,esk28_3(vabs(esk35_0,esk36_0,veabs),esk37_0,esk34_0)) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_606,c_0_595]),c_0_595]) ).
cnf(c_0_610,plain,
( X1 = esk35_0
| vtcheck(vbind(esk35_0,esk36_0,vbind(X1,X2,esk34_0)),veabs,esk28_3(vabs(esk35_0,esk36_0,veabs),esk37_0,esk34_0))
| visFreeVar(X1,veabs) ),
inference(spm,[status(thm)],[c_0_607,c_0_608]) ).
cnf(c_0_611,plain,
( X1 = X2
| visFreeVar(X3,X4)
| ~ visFreeVar(X2,X5)
| X3 != X2
| X4 != vabs(X1,X6,X5) ),
i_0_507 ).
cnf(c_0_612,negated_conjecture,
~ vtcheck(vbind(esk32_0,esk33_0,esk34_0),vabs(esk35_0,esk36_0,veabs),esk37_0),
i_0_423 ).
cnf(c_0_613,plain,
( X1 = esk35_0
| vtcheck(vbind(X1,X2,esk34_0),vabs(esk35_0,esk36_0,veabs),esk37_0)
| visFreeVar(X1,veabs) ),
inference(spm,[status(thm)],[c_0_609,c_0_610]) ).
cnf(c_0_614,negated_conjecture,
esk32_0 != esk35_0,
i_0_567 ).
cnf(c_0_615,plain,
( X1 = X2
| visFreeVar(X2,vabs(X1,X3,X4))
| ~ visFreeVar(X2,X4) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_611])]) ).
cnf(c_0_616,negated_conjecture,
visFreeVar(esk32_0,veabs),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_612,c_0_613]),c_0_614]) ).
cnf(c_0_617,negated_conjecture,
~ visFreeVar(esk32_0,vabs(esk35_0,esk36_0,veabs)),
i_0_488 ).
cnf(c_0_618,plain,
( X1 = esk32_0
| visFreeVar(esk32_0,vabs(X1,X2,veabs)) ),
inference(spm,[status(thm)],[c_0_615,c_0_616]) ).
cnf(c_0_619,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_617,c_0_618]),c_0_614]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : COM123+1 : TPTP v9.2.1. Released v6.4.0.
% 0.00/0.11 % Command : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.15/0.32 % Computer : n026.cluster.edu
% 0.15/0.32 % Model : x86_64 x86_64
% 0.15/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.32 % Memory : 8042.1875MB
% 0.15/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.32 % CPULimit : 300
% 0.15/0.32 % WCLimit : 300
% 0.15/0.32 % DateTime : Mon May 4 16:22:38 EDT 2026
% 0.15/0.32 % CPUTime :
% 0.15/0.33 % start to proof: theBenchmark
% 138.28/104.90 % Version : CSE_E---1.7
% 138.28/104.90 % Problem : theBenchmark.p
% 138.28/104.90 % SZS status Theorem for theBenchmark.p
% 138.28/104.90 % SZS output start CNFRefutation
% See solution above
% 154.68/121.35 % Total time : 104.142s
%------------------------------------------------------------------------------