%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : COM131+1 : TPTP v9.2.1. Released v6.4.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d
% Computer : n006.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue May 5 04:13:18 PM UTC 2026
% Result : Theorem 149.40s 105.22s
% Output : CNFRefutation 165.90s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named c_0_59)
% Comments :
%------------------------------------------------------------------------------
fof('subst-INV',axiom,
! [X1,X4,X6,X19] :
( vsubst(X1,X4,X6) = X19
=> ( ? [X9,X21,X11] :
( X1 = X9
& X4 = X11
& X6 = vvar(X21)
& X9 = X21
& X19 = X11 )
| ? [X11,X9,X21] :
( X1 = X9
& X4 = X11
& X6 = vvar(X21)
& X9 != X21
& X19 = vvar(X21) )
| ? [X12,X9,X11,X13] :
( X1 = X9
& X4 = X11
& X6 = vapp(X12,X13)
& X19 = vapp(vsubst(X9,X11,X12),vsubst(X9,X11,X13)) )
| ? [X11,X9,X21,X15,X12] :
( X1 = X9
& X4 = X11
& X6 = vabs(X21,X15,X12)
& X9 = X21
& X19 = vabs(X21,X15,X12) )
| ? [X9,X11,X15,X21,X24,X12] :
( X1 = X9
& X4 = X11
& X6 = vabs(X21,X15,X12)
& X9 != X21
& visFreeVar(X21,X11)
& X24 = vgensym(vapp(vapp(X11,X12),vvar(X9)))
& X19 = vsubst(X9,X11,vabs(X24,X15,vsubst(X21,vvar(X24),X12))) )
| ? [X21,X15,X9,X11,X12] :
( X1 = X9
& X4 = X11
& X6 = vabs(X21,X15,X12)
& X9 != X21
& ~ visFreeVar(X21,X11)
& X19 = vabs(X21,X15,vsubst(X9,X11,X12)) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/COM001+0.ax','subst-INV') ).
fof(reduce6,axiom,
! [X13,X12,X27,X4,X19] :
( ( X4 = vapp(X12,X13)
& ! [X28,X29,X30] : X12 != vabs(X28,X29,X30) )
=> ( ( X27 = vreduce(X12)
& ~ visSomeExp(X27) )
=> ( X19 = vreduce(X4)
=> X19 = vnoExp ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/COM001+0.ax',reduce6) ).
fof('T-subst-abs-2',conjecture,
! [X15,X20,X9,X11,X21,X10,X34] :
( ( X9 != X21
& ~ visFreeVar(X21,X11)
& vtcheck(X20,X11,X15)
& vtcheck(vbind(X9,X15,X20),vabs(X21,X10,veabs),X34) )
=> vtcheck(X20,vsubst(X9,X11,vabs(X21,X10,veabs)),X34) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','T-subst-abs-2') ).
fof(subst5,axiom,
! [X1,X4,X6,X19,X21,X15,X9,X11,X12] :
( ( X1 = X9
& X4 = X11
& X6 = vabs(X21,X15,X12) )
=> ( ( X9 != X21
& ~ visFreeVar(X21,X11) )
=> ( X19 = vsubst(X1,X4,X6)
=> X19 = vabs(X21,X15,vsubst(X9,X11,X12)) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/COM001+0.ax',subst5) ).
fof(reduce3,axiom,
! [X10,X26,X4,X19,X9,X13,X12] :
( X4 = vapp(vabs(X9,X10,X12),X13)
=> ( ( X26 = vreduce(X13)
& ~ visSomeExp(X26)
& visValue(X13) )
=> ( X19 = vreduce(X4)
=> X19 = vsomeExp(vsubst(X9,X13,X12)) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/COM001+0.ax',reduce3) ).
fof('T-Strong',axiom,
! [X9,X10,X20,X11,X15] :
( ( ~ visFreeVar(X9,X11)
& vtcheck(vbind(X9,X10,X20),X11,X15) )
=> vtcheck(X20,X11,X15) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','T-Strong') ).
fof('T-Weak-FreeVar',axiom,
! [X9,X10,X20,X11,X15] :
( ( ~ visFreeVar(X9,X11)
& vtcheck(X20,X11,X15) )
=> vtcheck(vbind(X9,X10,X20),X11,X15) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','T-Weak-FreeVar') ).
fof(reduce4,axiom,
! [X9,X10,X12,X26,X13,X4,X19] :
( X4 = vapp(vabs(X9,X10,X12),X13)
=> ( ( X26 = vreduce(X13)
& ~ visSomeExp(X26)
& ~ visValue(X13) )
=> ( X19 = vreduce(X4)
=> X19 = vnoExp ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/COM001+0.ax',reduce4) ).
fof('reduce-INV',axiom,
! [X4,X19] :
( vreduce(X4) = X19
=> ( ? [X9] :
( X4 = vvar(X9)
& X19 = vnoExp )
| ? [X9,X10,X11] :
( X4 = vabs(X9,X10,X11)
& X19 = vnoExp )
| ? [X13,X9,X10,X12,X26] :
( X4 = vapp(vabs(X9,X10,X12),X13)
& X26 = vreduce(X13)
& visSomeExp(X26)
& X19 = vsomeExp(vapp(vabs(X9,X10,X12),vgetSomeExp(X26))) )
| ? [X10,X26,X9,X13,X12] :
( X4 = vapp(vabs(X9,X10,X12),X13)
& X26 = vreduce(X13)
& ~ visSomeExp(X26)
& visValue(X13)
& X19 = vsomeExp(vsubst(X9,X13,X12)) )
| ? [X9,X10,X12,X26,X13] :
( X4 = vapp(vabs(X9,X10,X12),X13)
& X26 = vreduce(X13)
& ~ visSomeExp(X26)
& ~ visValue(X13)
& X19 = vnoExp )
| ? [X12,X27,X13] :
( X4 = vapp(X12,X13)
& ! [X28,X29,X30] : X12 != vabs(X28,X29,X30)
& X27 = vreduce(X12)
& visSomeExp(X27)
& X19 = vsomeExp(vapp(vgetSomeExp(X27),X13)) )
| ? [X13,X12,X27] :
( X4 = vapp(X12,X13)
& ! [X28,X29,X30] : X12 != vabs(X28,X29,X30)
& X27 = vreduce(X12)
& ~ visSomeExp(X27)
& X19 = vnoExp ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/COM001+0.ax','reduce-INV') ).
fof(isValue2,axiom,
! [X12,X13,X4] :
( X4 = vapp(X12,X13)
=> ~ visValue(X4) ),
file('/export/starexec/sandbox2/benchmark/Axioms/COM001+0.ax',isValue2) ).
fof('gensym-is-fresh',axiom,
! [X14,X11] :
( vgensym(X11) = X14
=> ~ visFreeVar(X14,X11) ),
file('/export/starexec/sandbox2/benchmark/Axioms/COM001+0.ax','gensym-is-fresh') ).
fof(isValue1,axiom,
! [X9,X4] :
( X4 = vvar(X9)
=> ~ visValue(X4) ),
file('/export/starexec/sandbox2/benchmark/Axioms/COM001+0.ax',isValue1) ).
fof(isSomeExp0,axiom,
! [X25] :
( X25 = vnoExp
=> ~ visSomeExp(X25) ),
file('/export/starexec/sandbox2/benchmark/Axioms/COM001+0.ax',isSomeExp0) ).
fof(isSomeType0,axiom,
! [X18] :
( X18 = vnoType
=> ~ visSomeType(X18) ),
file('/export/starexec/sandbox2/benchmark/Axioms/COM001+0.ax',isSomeType0) ).
fof(reduce5,axiom,
! [X12,X4,X19,X27,X13] :
( ( X4 = vapp(X12,X13)
& ! [X28,X29,X30] : X12 != vabs(X28,X29,X30) )
=> ( ( X27 = vreduce(X12)
& visSomeExp(X27) )
=> ( X19 = vreduce(X4)
=> X19 = vsomeExp(vapp(vgetSomeExp(X27),X13)) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/COM001+0.ax',reduce5) ).
fof('T-inv',axiom,
! [X11,X15,X20] :
( vtcheck(X20,X11,X15)
=> ( ? [X9] :
( X11 = vvar(X9)
& vlookup(X9,X20) = vsomeType(X15) )
| ? [X9,X13,X33,X34] :
( X11 = vabs(X9,X33,X13)
& X15 = varrow(X33,X34)
& vtcheck(vbind(X9,X33,X20),X13,X34) )
| ? [X12,X13,X10] :
( X11 = vapp(X12,X13)
& vtcheck(X20,X12,varrow(X10,X15))
& vtcheck(X20,X13,X10) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/COM001+0.ax','T-inv') ).
fof('T-Context-Swap',axiom,
! [X21,X22,X9,X23,X20,X11,X15] :
( ( X9 != X21
& vtcheck(vbind(X9,X23,vbind(X21,X22,X20)),X11,X15) )
=> vtcheck(vbind(X21,X22,vbind(X9,X23,X20)),X11,X15) ),
file('/export/starexec/sandbox2/benchmark/Axioms/COM001+0.ax','T-Context-Swap') ).
fof('T-subst-abs-1',axiom,
! [X15,X20,X9,X11,X21,X10,X12,X34] :
( ( X9 = X21
& vtcheck(X20,X11,X15)
& vtcheck(vbind(X9,X15,X20),vabs(X21,X10,X12),X34) )
=> vtcheck(X20,vsubst(X9,X11,vabs(X21,X10,X12)),X34) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','T-subst-abs-1') ).
fof('lookup-INV',axiom,
! [X1,X16,X19] :
( vlookup(X1,X16) = X19
=> ( ? [X9] :
( X1 = X9
& X16 = vempty
& X19 = vnoType )
| ? [X20,X9,X21,X22] :
( X1 = X9
& X16 = vbind(X21,X22,X20)
& X9 = X21
& X19 = vsomeType(X22) )
| ? [X22,X21,X9,X20] :
( X1 = X9
& X16 = vbind(X21,X22,X20)
& X9 != X21
& X19 = vlookup(X9,X20) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/COM001+0.ax','lookup-INV') ).
fof(subst4,axiom,
! [X1,X4,X6,X19,X9,X11,X15,X21,X24,X12] :
( ( X1 = X9
& X4 = X11
& X6 = vabs(X21,X15,X12) )
=> ( ( X9 != X21
& visFreeVar(X21,X11)
& X24 = vgensym(vapp(vapp(X11,X12),vvar(X9))) )
=> ( X19 = vsubst(X1,X4,X6)
=> X19 = vsubst(X9,X11,vabs(X24,X15,vsubst(X21,vvar(X24),X12))) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/COM001+0.ax',subst4) ).
fof('T-Context-Duplicate',axiom,
! [X21,X22,X9,X23,X20,X11,X15] :
( ( X9 = X21
& vtcheck(vbind(X9,X23,vbind(X21,X22,X20)),X11,X15) )
=> vtcheck(vbind(X9,X23,X20),X11,X15) ),
file('/export/starexec/sandbox2/benchmark/Axioms/COM001+0.ax','T-Context-Duplicate') ).
fof('T-subst-IH-abs',axiom,
! [X15,X20,X9,X11,X34] :
( ( vtcheck(X20,X11,X15)
& vtcheck(vbind(X9,X15,X20),veabs,X34) )
=> vtcheck(X20,vsubst(X9,X11,veabs),X34) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','T-subst-IH-abs') ).
fof(reduce2,axiom,
! [X13,X4,X19,X9,X10,X12,X26] :
( X4 = vapp(vabs(X9,X10,X12),X13)
=> ( ( X26 = vreduce(X13)
& visSomeExp(X26) )
=> ( X19 = vreduce(X4)
=> X19 = vsomeExp(vapp(vabs(X9,X10,X12),vgetSomeExp(X26))) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/COM001+0.ax',reduce2) ).
fof('T-abs',axiom,
! [X20,X9,X11,X10,X15] :
( vtcheck(vbind(X9,X10,X20),X11,X15)
=> vtcheck(X20,vabs(X9,X10,X11),varrow(X10,X15)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/COM001+0.ax','T-abs') ).
fof(subst2,axiom,
! [X1,X4,X6,X19,X12,X9,X11,X13] :
( ( X1 = X9
& X4 = X11
& X6 = vapp(X12,X13) )
=> ( X19 = vsubst(X1,X4,X6)
=> X19 = vapp(vsubst(X9,X11,X12),vsubst(X9,X11,X13)) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/COM001+0.ax',subst2) ).
fof('T-app',axiom,
! [X10,X20,X12,X13,X15] :
( ( vtcheck(X20,X12,varrow(X10,X15))
& vtcheck(X20,X13,X10) )
=> vtcheck(X20,vapp(X12,X13),X15) ),
file('/export/starexec/sandbox2/benchmark/Axioms/COM001+0.ax','T-app') ).
fof('T-Weak',axiom,
! [X9,X10,X20,X11,X15] :
( ( vlookup(X9,X20) = vnoType
& vtcheck(X20,X11,X15) )
=> vtcheck(vbind(X9,X10,X20),X11,X15) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','T-Weak') ).
fof(subst3,axiom,
! [X11,X9,X1,X4,X6,X19,X21,X15,X12] :
( ( X1 = X9
& X4 = X11
& X6 = vabs(X21,X15,X12) )
=> ( X9 = X21
=> ( X19 = vsubst(X1,X4,X6)
=> X19 = vabs(X21,X15,X12) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/COM001+0.ax',subst3) ).
fof('EQ-bind',axiom,
! [X1,X3,X16,X2,X5,X17] :
( ( vbind(X1,X3,X16) = vbind(X2,X5,X17)
=> ( X1 = X2
& X3 = X5
& X16 = X17 ) )
& ( ( X1 = X2
& X3 = X5
& X16 = X17 )
=> vbind(X1,X3,X16) = vbind(X2,X5,X17) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/COM001+0.ax','EQ-bind') ).
fof('EQ-abs',axiom,
! [X1,X3,X4,X2,X5,X6] :
( ( vabs(X1,X3,X4) = vabs(X2,X5,X6)
=> ( X1 = X2
& X3 = X5
& X4 = X6 ) )
& ( ( X1 = X2
& X3 = X5
& X4 = X6 )
=> vabs(X1,X3,X4) = vabs(X2,X5,X6) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/COM001+0.ax','EQ-abs') ).
fof(lookup2,axiom,
! [X22,X21,X1,X16,X19,X9,X20] :
( ( X1 = X9
& X16 = vbind(X21,X22,X20) )
=> ( X9 != X21
=> ( X19 = vlookup(X1,X16)
=> X19 = vlookup(X9,X20) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/COM001+0.ax',lookup2) ).
fof(isFreeVar1,axiom,
! [X15,X1,X4,X9,X14,X11] :
( ( X1 = X14
& X4 = vabs(X9,X15,X11) )
=> ( ( ( X9 != X14
& visFreeVar(X14,X11) )
=> visFreeVar(X1,X4) )
& ( visFreeVar(X1,X4)
=> ( X9 != X14
& visFreeVar(X14,X11) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/COM001+0.ax',isFreeVar1) ).
fof(lookup1,axiom,
! [X20,X9,X21,X1,X16,X19,X22] :
( ( X1 = X9
& X16 = vbind(X21,X22,X20) )
=> ( X9 = X21
=> ( X19 = vlookup(X1,X16)
=> X19 = vsomeType(X22) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/COM001+0.ax',lookup1) ).
fof(subst1,axiom,
! [X11,X9,X1,X4,X6,X19,X21] :
( ( X1 = X9
& X4 = X11
& X6 = vvar(X21) )
=> ( X9 != X21
=> ( X19 = vsubst(X1,X4,X6)
=> X19 = vvar(X21) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/COM001+0.ax',subst1) ).
fof(subst0,axiom,
! [X9,X21,X1,X4,X6,X19,X11] :
( ( X1 = X9
& X4 = X11
& X6 = vvar(X21) )
=> ( X9 = X21
=> ( X19 = vsubst(X1,X4,X6)
=> X19 = X11 ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/COM001+0.ax',subst0) ).
fof('DIFF-abs-app',axiom,
! [X1,X3,X4,X6,X7] : vabs(X1,X3,X4) != vapp(X6,X7),
file('/export/starexec/sandbox2/benchmark/Axioms/COM001+0.ax','DIFF-abs-app') ).
fof(reduce1,axiom,
! [X9,X10,X11,X4,X19] :
( X4 = vabs(X9,X10,X11)
=> ( X19 = vreduce(X4)
=> X19 = vnoExp ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/COM001+0.ax',reduce1) ).
fof('DIFF-var-abs',axiom,
! [X1,X2,X3,X4] : vvar(X1) != vabs(X2,X3,X4),
file('/export/starexec/sandbox2/benchmark/Axioms/COM001+0.ax','DIFF-var-abs') ).
fof(isValue0,axiom,
! [X9,X10,X11,X4] :
( X4 = vabs(X9,X10,X11)
=> visValue(X4) ),
file('/export/starexec/sandbox2/benchmark/Axioms/COM001+0.ax',isValue0) ).
fof('T-var',axiom,
! [X20,X9,X15] :
( vlookup(X9,X20) = vsomeType(X15)
=> vtcheck(X20,vvar(X9),X15) ),
file('/export/starexec/sandbox2/benchmark/Axioms/COM001+0.ax','T-var') ).
fof('DIFF-empty-bind',axiom,
! [X1,X3,X16] : vempty != vbind(X1,X3,X16),
file('/export/starexec/sandbox2/benchmark/Axioms/COM001+0.ax','DIFF-empty-bind') ).
fof(isFreeVar2,axiom,
! [X1,X4,X12,X14,X13] :
( ( X1 = X14
& X4 = vapp(X12,X13) )
=> ( ( ( visFreeVar(X14,X12)
| visFreeVar(X14,X13) )
=> visFreeVar(X1,X4) )
& ( visFreeVar(X1,X4)
=> ( visFreeVar(X14,X12)
| visFreeVar(X14,X13) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/COM001+0.ax',isFreeVar2) ).
fof('EQ-arrow',axiom,
! [X3,X5,X31,X32] :
( ( varrow(X3,X5) = varrow(X31,X32)
=> ( X3 = X31
& X5 = X32 ) )
& ( ( X3 = X31
& X5 = X32 )
=> varrow(X3,X5) = varrow(X31,X32) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/COM001+0.ax','EQ-arrow') ).
fof('EQ-app',axiom,
! [X4,X6,X7,X8] :
( ( vapp(X4,X6) = vapp(X7,X8)
=> ( X4 = X7
& X6 = X8 ) )
& ( ( X4 = X7
& X6 = X8 )
=> vapp(X4,X6) = vapp(X7,X8) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/COM001+0.ax','EQ-app') ).
fof(isFreeVar0,axiom,
! [X1,X4,X9,X14] :
( ( X1 = X14
& X4 = vvar(X9) )
=> ( ( X9 = X14
=> visFreeVar(X1,X4) )
& ( visFreeVar(X1,X4)
=> X9 = X14 ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/COM001+0.ax',isFreeVar0) ).
fof(lookup0,axiom,
! [X9,X1,X16,X19] :
( ( X1 = X9
& X16 = vempty )
=> ( X19 = vlookup(X1,X16)
=> X19 = vnoType ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/COM001+0.ax',lookup0) ).
fof('DIFF-var-app',axiom,
! [X1,X4,X6] : vvar(X1) != vapp(X4,X6),
file('/export/starexec/sandbox2/benchmark/Axioms/COM001+0.ax','DIFF-var-app') ).
fof(getSomeExp0,axiom,
! [X25,X19,X11] :
( X25 = vsomeExp(X11)
=> ( X19 = vgetSomeExp(X25)
=> X19 = X11 ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/COM001+0.ax',getSomeExp0) ).
fof(getSomeType0,axiom,
! [X18,X19,X11] :
( X18 = vsomeType(X11)
=> ( X19 = vgetSomeType(X18)
=> X19 = X11 ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/COM001+0.ax',getSomeType0) ).
fof(reduce0,axiom,
! [X9,X4,X19] :
( X4 = vvar(X9)
=> ( X19 = vreduce(X4)
=> X19 = vnoExp ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/COM001+0.ax',reduce0) ).
fof('EQ-someExp',axiom,
! [X4,X6] :
( ( vsomeExp(X4) = vsomeExp(X6)
=> X4 = X6 )
& ( X4 = X6
=> vsomeExp(X4) = vsomeExp(X6) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/COM001+0.ax','EQ-someExp') ).
fof('EQ-someType',axiom,
! [X3,X5] :
( ( vsomeType(X3) = vsomeType(X5)
=> X3 = X5 )
& ( X3 = X5
=> vsomeType(X3) = vsomeType(X5) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/COM001+0.ax','EQ-someType') ).
fof('EQ-var',axiom,
! [X1,X2] :
( ( vvar(X1) = vvar(X2)
=> X1 = X2 )
& ( X1 = X2
=> vvar(X1) = vvar(X2) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/COM001+0.ax','EQ-var') ).
fof(isSomeExp1,axiom,
! [X11,X25] :
( X25 = vsomeExp(X11)
=> visSomeExp(X25) ),
file('/export/starexec/sandbox2/benchmark/Axioms/COM001+0.ax',isSomeExp1) ).
fof(isSomeType1,axiom,
! [X11,X18] :
( X18 = vsomeType(X11)
=> visSomeType(X18) ),
file('/export/starexec/sandbox2/benchmark/Axioms/COM001+0.ax',isSomeType1) ).
fof('DIFF-noExp-someExp',axiom,
! [X4] : vnoExp != vsomeExp(X4),
file('/export/starexec/sandbox2/benchmark/Axioms/COM001+0.ax','DIFF-noExp-someExp') ).
fof('DIFF-noType-someType',axiom,
! [X3] : vnoType != vsomeType(X3),
file('/export/starexec/sandbox2/benchmark/Axioms/COM001+0.ax','DIFF-noType-someType') ).
fof(i_0_57,plain,
! [X4,X19] :
( epred3_2(X19,X4)
<=> ( ? [X9] :
( X4 = vvar(X9)
& X19 = vnoExp )
| ? [X9,X10,X11] :
( X4 = vabs(X9,X10,X11)
& X19 = vnoExp )
| ? [X13,X9,X10,X12,X26] :
( X4 = vapp(vabs(X9,X10,X12),X13)
& X26 = vreduce(X13)
& visSomeExp(X26)
& X19 = vsomeExp(vapp(vabs(X9,X10,X12),vgetSomeExp(X26))) )
| ? [X10,X26,X9,X13,X12] :
( X4 = vapp(vabs(X9,X10,X12),X13)
& X26 = vreduce(X13)
& ~ visSomeExp(X26)
& visValue(X13)
& X19 = vsomeExp(vsubst(X9,X13,X12)) ) ) ),
introduced(definition) ).
fof(i_0_58,plain,
! [X1,X4,X6,X19] :
( epred2_4(X19,X6,X4,X1)
<=> ( ? [X9,X21,X11] :
( X1 = X9
& X4 = X11
& X6 = vvar(X21)
& X9 = X21
& X19 = X11 )
| ? [X11,X9,X21] :
( X1 = X9
& X4 = X11
& X6 = vvar(X21)
& X9 != X21
& X19 = vvar(X21) )
| ? [X12,X9,X11,X13] :
( X1 = X9
& X4 = X11
& X6 = vapp(X12,X13)
& X19 = vapp(vsubst(X9,X11,X12),vsubst(X9,X11,X13)) )
| ? [X11,X9,X21,X15,X12] :
( X1 = X9
& X4 = X11
& X6 = vabs(X21,X15,X12)
& X9 = X21
& X19 = vabs(X21,X15,X12) )
| ? [X9,X11,X15,X21,X24,X12] :
( X1 = X9
& X4 = X11
& X6 = vabs(X21,X15,X12)
& X9 != X21
& visFreeVar(X21,X11)
& X24 = vgensym(vapp(vapp(X11,X12),vvar(X9)))
& X19 = vsubst(X9,X11,vabs(X24,X15,vsubst(X21,vvar(X24),X12))) ) ) ),
introduced(definition) ).
fof(i_0_59,plain,
! [X1,X4,X6,X19] :
( epred1_4(X19,X6,X4,X1)
<=> ( ? [X9,X21,X11] :
( X1 = X9
& X4 = X11
& X6 = vvar(X21)
& X9 = X21
& X19 = X11 )
| ? [X11,X9,X21] :
( X1 = X9
& X4 = X11
& X6 = vvar(X21)
& X9 != X21
& X19 = vvar(X21) ) ) ),
introduced(definition) ).
fof(i_0_60,plain,
! [X4,X19] :
( epred3_2(X19,X4)
=> ( ? [X9] :
( X4 = vvar(X9)
& X19 = vnoExp )
| ? [X9,X10,X11] :
( X4 = vabs(X9,X10,X11)
& X19 = vnoExp )
| ? [X13,X9,X10,X12,X26] :
( X4 = vapp(vabs(X9,X10,X12),X13)
& X26 = vreduce(X13)
& visSomeExp(X26)
& X19 = vsomeExp(vapp(vabs(X9,X10,X12),vgetSomeExp(X26))) )
| ? [X10,X26,X9,X13,X12] :
( X4 = vapp(vabs(X9,X10,X12),X13)
& X26 = vreduce(X13)
& ~ visSomeExp(X26)
& visValue(X13)
& X19 = vsomeExp(vsubst(X9,X13,X12)) ) ) ),
inference(split_equiv,[status(thm)],[i_0_57]) ).
fof(i_0_61,plain,
! [X4,X19] :
( epred4_2(X19,X4)
<=> ( ? [X9] :
( X4 = vvar(X9)
& X19 = vnoExp )
| ? [X9,X10,X11] :
( X4 = vabs(X9,X10,X11)
& X19 = vnoExp )
| ? [X13,X9,X10,X12,X26] :
( X4 = vapp(vabs(X9,X10,X12),X13)
& X26 = vreduce(X13)
& visSomeExp(X26)
& X19 = vsomeExp(vapp(vabs(X9,X10,X12),vgetSomeExp(X26))) )
| ? [X10,X26,X9,X13,X12] :
( X4 = vapp(vabs(X9,X10,X12),X13)
& X26 = vreduce(X13)
& ~ visSomeExp(X26)
& visValue(X13)
& X19 = vsomeExp(vsubst(X9,X13,X12)) )
| ? [X9,X10,X12,X26,X13] :
( X4 = vapp(vabs(X9,X10,X12),X13)
& X26 = vreduce(X13)
& ~ visSomeExp(X26)
& ~ visValue(X13)
& X19 = vnoExp )
| ? [X12,X27,X13] :
( X4 = vapp(X12,X13)
& ! [X28,X29,X30] : X12 != vabs(X28,X29,X30)
& X27 = vreduce(X12)
& visSomeExp(X27)
& X19 = vsomeExp(vapp(vgetSomeExp(X27),X13)) ) ) ),
introduced(definition) ).
fof(i_0_62,plain,
! [X1,X4,X6,X19] :
( epred2_4(X19,X6,X4,X1)
=> ( epred1_4(X19,X6,X4,X1)
| ? [X12,X9,X11,X13] :
( X1 = X9
& X4 = X11
& X6 = vapp(X12,X13)
& X19 = vapp(vsubst(X9,X11,X12),vsubst(X9,X11,X13)) )
| ? [X11,X9,X21,X15,X12] :
( X1 = X9
& X4 = X11
& X6 = vabs(X21,X15,X12)
& X9 = X21
& X19 = vabs(X21,X15,X12) )
| ? [X9,X11,X15,X21,X24,X12] :
( X1 = X9
& X4 = X11
& X6 = vabs(X21,X15,X12)
& X9 != X21
& visFreeVar(X21,X11)
& X24 = vgensym(vapp(vapp(X11,X12),vvar(X9)))
& X19 = vsubst(X9,X11,vabs(X24,X15,vsubst(X21,vvar(X24),X12))) ) ) ),
inference(apply_def,[status(thm)],[inference(split_equiv,[status(thm)],[i_0_58]),c_0_59]) ).
fof(i_0_63,plain,
! [X1,X4,X6,X19] :
( vsubst(X1,X4,X6) = X19
=> ( epred2_4(X19,X6,X4,X1)
| ? [X21,X15,X9,X11,X12] :
( X1 = X9
& X4 = X11
& X6 = vabs(X21,X15,X12)
& X9 != X21
& ~ visFreeVar(X21,X11)
& X19 = vabs(X21,X15,vsubst(X9,X11,X12)) ) ) ),
inference(apply_def,[status(thm)],[inference(fof_simplification,[status(thm)],['subst-INV']),c_0_58]) ).
fof(i_0_64,plain,
! [X1,X4,X6,X19] :
( epred1_4(X19,X6,X4,X1)
=> ( ? [X9,X21,X11] :
( X1 = X9
& X4 = X11
& X6 = vvar(X21)
& X9 = X21
& X19 = X11 )
| ? [X11,X9,X21] :
( X1 = X9
& X4 = X11
& X6 = vvar(X21)
& X9 != X21
& X19 = vvar(X21) ) ) ),
inference(split_equiv,[status(thm)],[i_0_59]) ).
fof(i_0_65,plain,
! [X13,X12,X27,X4,X19] :
( ( X4 = vapp(X12,X13)
& ! [X28,X29,X30] : X12 != vabs(X28,X29,X30) )
=> ( ( X27 = vreduce(X12)
& ~ visSomeExp(X27) )
=> ( X19 = vreduce(X4)
=> X19 = vnoExp ) ) ),
inference(fof_simplification,[status(thm)],[reduce6]) ).
fof(i_0_66,plain,
! [X702,X703] :
( ( X702 = vapp(vabs(esk71_2(X702,X703),esk69_2(X702,X703),esk73_2(X702,X703)),esk72_2(X702,X703))
| X702 = vapp(vabs(esk65_2(X702,X703),esk66_2(X702,X703),esk67_2(X702,X703)),esk64_2(X702,X703))
| X702 = vabs(esk61_2(X702,X703),esk62_2(X702,X703),esk63_2(X702,X703))
| X702 = vvar(esk60_2(X702,X703))
| ~ epred3_2(X703,X702) )
& ( esk70_2(X702,X703) = vreduce(esk72_2(X702,X703))
| X702 = vapp(vabs(esk65_2(X702,X703),esk66_2(X702,X703),esk67_2(X702,X703)),esk64_2(X702,X703))
| X702 = vabs(esk61_2(X702,X703),esk62_2(X702,X703),esk63_2(X702,X703))
| X702 = vvar(esk60_2(X702,X703))
| ~ epred3_2(X703,X702) )
& ( ~ visSomeExp(esk70_2(X702,X703))
| X702 = vapp(vabs(esk65_2(X702,X703),esk66_2(X702,X703),esk67_2(X702,X703)),esk64_2(X702,X703))
| X702 = vabs(esk61_2(X702,X703),esk62_2(X702,X703),esk63_2(X702,X703))
| X702 = vvar(esk60_2(X702,X703))
| ~ epred3_2(X703,X702) )
& ( visValue(esk72_2(X702,X703))
| X702 = vapp(vabs(esk65_2(X702,X703),esk66_2(X702,X703),esk67_2(X702,X703)),esk64_2(X702,X703))
| X702 = vabs(esk61_2(X702,X703),esk62_2(X702,X703),esk63_2(X702,X703))
| X702 = vvar(esk60_2(X702,X703))
| ~ epred3_2(X703,X702) )
& ( X703 = vsomeExp(vsubst(esk71_2(X702,X703),esk72_2(X702,X703),esk73_2(X702,X703)))
| X702 = vapp(vabs(esk65_2(X702,X703),esk66_2(X702,X703),esk67_2(X702,X703)),esk64_2(X702,X703))
| X702 = vabs(esk61_2(X702,X703),esk62_2(X702,X703),esk63_2(X702,X703))
| X702 = vvar(esk60_2(X702,X703))
| ~ epred3_2(X703,X702) )
& ( X702 = vapp(vabs(esk71_2(X702,X703),esk69_2(X702,X703),esk73_2(X702,X703)),esk72_2(X702,X703))
| esk68_2(X702,X703) = vreduce(esk64_2(X702,X703))
| X702 = vabs(esk61_2(X702,X703),esk62_2(X702,X703),esk63_2(X702,X703))
| X702 = vvar(esk60_2(X702,X703))
| ~ epred3_2(X703,X702) )
& ( esk70_2(X702,X703) = vreduce(esk72_2(X702,X703))
| esk68_2(X702,X703) = vreduce(esk64_2(X702,X703))
| X702 = vabs(esk61_2(X702,X703),esk62_2(X702,X703),esk63_2(X702,X703))
| X702 = vvar(esk60_2(X702,X703))
| ~ epred3_2(X703,X702) )
& ( ~ visSomeExp(esk70_2(X702,X703))
| esk68_2(X702,X703) = vreduce(esk64_2(X702,X703))
| X702 = vabs(esk61_2(X702,X703),esk62_2(X702,X703),esk63_2(X702,X703))
| X702 = vvar(esk60_2(X702,X703))
| ~ epred3_2(X703,X702) )
& ( visValue(esk72_2(X702,X703))
| esk68_2(X702,X703) = vreduce(esk64_2(X702,X703))
| X702 = vabs(esk61_2(X702,X703),esk62_2(X702,X703),esk63_2(X702,X703))
| X702 = vvar(esk60_2(X702,X703))
| ~ epred3_2(X703,X702) )
& ( X703 = vsomeExp(vsubst(esk71_2(X702,X703),esk72_2(X702,X703),esk73_2(X702,X703)))
| esk68_2(X702,X703) = vreduce(esk64_2(X702,X703))
| X702 = vabs(esk61_2(X702,X703),esk62_2(X702,X703),esk63_2(X702,X703))
| X702 = vvar(esk60_2(X702,X703))
| ~ epred3_2(X703,X702) )
& ( X702 = vapp(vabs(esk71_2(X702,X703),esk69_2(X702,X703),esk73_2(X702,X703)),esk72_2(X702,X703))
| visSomeExp(esk68_2(X702,X703))
| X702 = vabs(esk61_2(X702,X703),esk62_2(X702,X703),esk63_2(X702,X703))
| X702 = vvar(esk60_2(X702,X703))
| ~ epred3_2(X703,X702) )
& ( esk70_2(X702,X703) = vreduce(esk72_2(X702,X703))
| visSomeExp(esk68_2(X702,X703))
| X702 = vabs(esk61_2(X702,X703),esk62_2(X702,X703),esk63_2(X702,X703))
| X702 = vvar(esk60_2(X702,X703))
| ~ epred3_2(X703,X702) )
& ( ~ visSomeExp(esk70_2(X702,X703))
| visSomeExp(esk68_2(X702,X703))
| X702 = vabs(esk61_2(X702,X703),esk62_2(X702,X703),esk63_2(X702,X703))
| X702 = vvar(esk60_2(X702,X703))
| ~ epred3_2(X703,X702) )
& ( visValue(esk72_2(X702,X703))
| visSomeExp(esk68_2(X702,X703))
| X702 = vabs(esk61_2(X702,X703),esk62_2(X702,X703),esk63_2(X702,X703))
| X702 = vvar(esk60_2(X702,X703))
| ~ epred3_2(X703,X702) )
& ( X703 = vsomeExp(vsubst(esk71_2(X702,X703),esk72_2(X702,X703),esk73_2(X702,X703)))
| visSomeExp(esk68_2(X702,X703))
| X702 = vabs(esk61_2(X702,X703),esk62_2(X702,X703),esk63_2(X702,X703))
| X702 = vvar(esk60_2(X702,X703))
| ~ epred3_2(X703,X702) )
& ( X702 = vapp(vabs(esk71_2(X702,X703),esk69_2(X702,X703),esk73_2(X702,X703)),esk72_2(X702,X703))
| X703 = vsomeExp(vapp(vabs(esk65_2(X702,X703),esk66_2(X702,X703),esk67_2(X702,X703)),vgetSomeExp(esk68_2(X702,X703))))
| X702 = vabs(esk61_2(X702,X703),esk62_2(X702,X703),esk63_2(X702,X703))
| X702 = vvar(esk60_2(X702,X703))
| ~ epred3_2(X703,X702) )
& ( esk70_2(X702,X703) = vreduce(esk72_2(X702,X703))
| X703 = vsomeExp(vapp(vabs(esk65_2(X702,X703),esk66_2(X702,X703),esk67_2(X702,X703)),vgetSomeExp(esk68_2(X702,X703))))
| X702 = vabs(esk61_2(X702,X703),esk62_2(X702,X703),esk63_2(X702,X703))
| X702 = vvar(esk60_2(X702,X703))
| ~ epred3_2(X703,X702) )
& ( ~ visSomeExp(esk70_2(X702,X703))
| X703 = vsomeExp(vapp(vabs(esk65_2(X702,X703),esk66_2(X702,X703),esk67_2(X702,X703)),vgetSomeExp(esk68_2(X702,X703))))
| X702 = vabs(esk61_2(X702,X703),esk62_2(X702,X703),esk63_2(X702,X703))
| X702 = vvar(esk60_2(X702,X703))
| ~ epred3_2(X703,X702) )
& ( visValue(esk72_2(X702,X703))
| X703 = vsomeExp(vapp(vabs(esk65_2(X702,X703),esk66_2(X702,X703),esk67_2(X702,X703)),vgetSomeExp(esk68_2(X702,X703))))
| X702 = vabs(esk61_2(X702,X703),esk62_2(X702,X703),esk63_2(X702,X703))
| X702 = vvar(esk60_2(X702,X703))
| ~ epred3_2(X703,X702) )
& ( X703 = vsomeExp(vsubst(esk71_2(X702,X703),esk72_2(X702,X703),esk73_2(X702,X703)))
| X703 = vsomeExp(vapp(vabs(esk65_2(X702,X703),esk66_2(X702,X703),esk67_2(X702,X703)),vgetSomeExp(esk68_2(X702,X703))))
| X702 = vabs(esk61_2(X702,X703),esk62_2(X702,X703),esk63_2(X702,X703))
| X702 = vvar(esk60_2(X702,X703))
| ~ epred3_2(X703,X702) )
& ( X702 = vapp(vabs(esk71_2(X702,X703),esk69_2(X702,X703),esk73_2(X702,X703)),esk72_2(X702,X703))
| X702 = vapp(vabs(esk65_2(X702,X703),esk66_2(X702,X703),esk67_2(X702,X703)),esk64_2(X702,X703))
| X703 = vnoExp
| X702 = vvar(esk60_2(X702,X703))
| ~ epred3_2(X703,X702) )
& ( esk70_2(X702,X703) = vreduce(esk72_2(X702,X703))
| X702 = vapp(vabs(esk65_2(X702,X703),esk66_2(X702,X703),esk67_2(X702,X703)),esk64_2(X702,X703))
| X703 = vnoExp
| X702 = vvar(esk60_2(X702,X703))
| ~ epred3_2(X703,X702) )
& ( ~ visSomeExp(esk70_2(X702,X703))
| X702 = vapp(vabs(esk65_2(X702,X703),esk66_2(X702,X703),esk67_2(X702,X703)),esk64_2(X702,X703))
| X703 = vnoExp
| X702 = vvar(esk60_2(X702,X703))
| ~ epred3_2(X703,X702) )
& ( visValue(esk72_2(X702,X703))
| X702 = vapp(vabs(esk65_2(X702,X703),esk66_2(X702,X703),esk67_2(X702,X703)),esk64_2(X702,X703))
| X703 = vnoExp
| X702 = vvar(esk60_2(X702,X703))
| ~ epred3_2(X703,X702) )
& ( X703 = vsomeExp(vsubst(esk71_2(X702,X703),esk72_2(X702,X703),esk73_2(X702,X703)))
| X702 = vapp(vabs(esk65_2(X702,X703),esk66_2(X702,X703),esk67_2(X702,X703)),esk64_2(X702,X703))
| X703 = vnoExp
| X702 = vvar(esk60_2(X702,X703))
| ~ epred3_2(X703,X702) )
& ( X702 = vapp(vabs(esk71_2(X702,X703),esk69_2(X702,X703),esk73_2(X702,X703)),esk72_2(X702,X703))
| esk68_2(X702,X703) = vreduce(esk64_2(X702,X703))
| X703 = vnoExp
| X702 = vvar(esk60_2(X702,X703))
| ~ epred3_2(X703,X702) )
& ( esk70_2(X702,X703) = vreduce(esk72_2(X702,X703))
| esk68_2(X702,X703) = vreduce(esk64_2(X702,X703))
| X703 = vnoExp
| X702 = vvar(esk60_2(X702,X703))
| ~ epred3_2(X703,X702) )
& ( ~ visSomeExp(esk70_2(X702,X703))
| esk68_2(X702,X703) = vreduce(esk64_2(X702,X703))
| X703 = vnoExp
| X702 = vvar(esk60_2(X702,X703))
| ~ epred3_2(X703,X702) )
& ( visValue(esk72_2(X702,X703))
| esk68_2(X702,X703) = vreduce(esk64_2(X702,X703))
| X703 = vnoExp
| X702 = vvar(esk60_2(X702,X703))
| ~ epred3_2(X703,X702) )
& ( X703 = vsomeExp(vsubst(esk71_2(X702,X703),esk72_2(X702,X703),esk73_2(X702,X703)))
| esk68_2(X702,X703) = vreduce(esk64_2(X702,X703))
| X703 = vnoExp
| X702 = vvar(esk60_2(X702,X703))
| ~ epred3_2(X703,X702) )
& ( X702 = vapp(vabs(esk71_2(X702,X703),esk69_2(X702,X703),esk73_2(X702,X703)),esk72_2(X702,X703))
| visSomeExp(esk68_2(X702,X703))
| X703 = vnoExp
| X702 = vvar(esk60_2(X702,X703))
| ~ epred3_2(X703,X702) )
& ( esk70_2(X702,X703) = vreduce(esk72_2(X702,X703))
| visSomeExp(esk68_2(X702,X703))
| X703 = vnoExp
| X702 = vvar(esk60_2(X702,X703))
| ~ epred3_2(X703,X702) )
& ( ~ visSomeExp(esk70_2(X702,X703))
| visSomeExp(esk68_2(X702,X703))
| X703 = vnoExp
| X702 = vvar(esk60_2(X702,X703))
| ~ epred3_2(X703,X702) )
& ( visValue(esk72_2(X702,X703))
| visSomeExp(esk68_2(X702,X703))
| X703 = vnoExp
| X702 = vvar(esk60_2(X702,X703))
| ~ epred3_2(X703,X702) )
& ( X703 = vsomeExp(vsubst(esk71_2(X702,X703),esk72_2(X702,X703),esk73_2(X702,X703)))
| visSomeExp(esk68_2(X702,X703))
| X703 = vnoExp
| X702 = vvar(esk60_2(X702,X703))
| ~ epred3_2(X703,X702) )
& ( X702 = vapp(vabs(esk71_2(X702,X703),esk69_2(X702,X703),esk73_2(X702,X703)),esk72_2(X702,X703))
| X703 = vsomeExp(vapp(vabs(esk65_2(X702,X703),esk66_2(X702,X703),esk67_2(X702,X703)),vgetSomeExp(esk68_2(X702,X703))))
| X703 = vnoExp
| X702 = vvar(esk60_2(X702,X703))
| ~ epred3_2(X703,X702) )
& ( esk70_2(X702,X703) = vreduce(esk72_2(X702,X703))
| X703 = vsomeExp(vapp(vabs(esk65_2(X702,X703),esk66_2(X702,X703),esk67_2(X702,X703)),vgetSomeExp(esk68_2(X702,X703))))
| X703 = vnoExp
| X702 = vvar(esk60_2(X702,X703))
| ~ epred3_2(X703,X702) )
& ( ~ visSomeExp(esk70_2(X702,X703))
| X703 = vsomeExp(vapp(vabs(esk65_2(X702,X703),esk66_2(X702,X703),esk67_2(X702,X703)),vgetSomeExp(esk68_2(X702,X703))))
| X703 = vnoExp
| X702 = vvar(esk60_2(X702,X703))
| ~ epred3_2(X703,X702) )
& ( visValue(esk72_2(X702,X703))
| X703 = vsomeExp(vapp(vabs(esk65_2(X702,X703),esk66_2(X702,X703),esk67_2(X702,X703)),vgetSomeExp(esk68_2(X702,X703))))
| X703 = vnoExp
| X702 = vvar(esk60_2(X702,X703))
| ~ epred3_2(X703,X702) )
& ( X703 = vsomeExp(vsubst(esk71_2(X702,X703),esk72_2(X702,X703),esk73_2(X702,X703)))
| X703 = vsomeExp(vapp(vabs(esk65_2(X702,X703),esk66_2(X702,X703),esk67_2(X702,X703)),vgetSomeExp(esk68_2(X702,X703))))
| X703 = vnoExp
| X702 = vvar(esk60_2(X702,X703))
| ~ epred3_2(X703,X702) )
& ( X702 = vapp(vabs(esk71_2(X702,X703),esk69_2(X702,X703),esk73_2(X702,X703)),esk72_2(X702,X703))
| X702 = vapp(vabs(esk65_2(X702,X703),esk66_2(X702,X703),esk67_2(X702,X703)),esk64_2(X702,X703))
| X702 = vabs(esk61_2(X702,X703),esk62_2(X702,X703),esk63_2(X702,X703))
| X703 = vnoExp
| ~ epred3_2(X703,X702) )
& ( esk70_2(X702,X703) = vreduce(esk72_2(X702,X703))
| X702 = vapp(vabs(esk65_2(X702,X703),esk66_2(X702,X703),esk67_2(X702,X703)),esk64_2(X702,X703))
| X702 = vabs(esk61_2(X702,X703),esk62_2(X702,X703),esk63_2(X702,X703))
| X703 = vnoExp
| ~ epred3_2(X703,X702) )
& ( ~ visSomeExp(esk70_2(X702,X703))
| X702 = vapp(vabs(esk65_2(X702,X703),esk66_2(X702,X703),esk67_2(X702,X703)),esk64_2(X702,X703))
| X702 = vabs(esk61_2(X702,X703),esk62_2(X702,X703),esk63_2(X702,X703))
| X703 = vnoExp
| ~ epred3_2(X703,X702) )
& ( visValue(esk72_2(X702,X703))
| X702 = vapp(vabs(esk65_2(X702,X703),esk66_2(X702,X703),esk67_2(X702,X703)),esk64_2(X702,X703))
| X702 = vabs(esk61_2(X702,X703),esk62_2(X702,X703),esk63_2(X702,X703))
| X703 = vnoExp
| ~ epred3_2(X703,X702) )
& ( X703 = vsomeExp(vsubst(esk71_2(X702,X703),esk72_2(X702,X703),esk73_2(X702,X703)))
| X702 = vapp(vabs(esk65_2(X702,X703),esk66_2(X702,X703),esk67_2(X702,X703)),esk64_2(X702,X703))
| X702 = vabs(esk61_2(X702,X703),esk62_2(X702,X703),esk63_2(X702,X703))
| X703 = vnoExp
| ~ epred3_2(X703,X702) )
& ( X702 = vapp(vabs(esk71_2(X702,X703),esk69_2(X702,X703),esk73_2(X702,X703)),esk72_2(X702,X703))
| esk68_2(X702,X703) = vreduce(esk64_2(X702,X703))
| X702 = vabs(esk61_2(X702,X703),esk62_2(X702,X703),esk63_2(X702,X703))
| X703 = vnoExp
| ~ epred3_2(X703,X702) )
& ( esk70_2(X702,X703) = vreduce(esk72_2(X702,X703))
| esk68_2(X702,X703) = vreduce(esk64_2(X702,X703))
| X702 = vabs(esk61_2(X702,X703),esk62_2(X702,X703),esk63_2(X702,X703))
| X703 = vnoExp
| ~ epred3_2(X703,X702) )
& ( ~ visSomeExp(esk70_2(X702,X703))
| esk68_2(X702,X703) = vreduce(esk64_2(X702,X703))
| X702 = vabs(esk61_2(X702,X703),esk62_2(X702,X703),esk63_2(X702,X703))
| X703 = vnoExp
| ~ epred3_2(X703,X702) )
& ( visValue(esk72_2(X702,X703))
| esk68_2(X702,X703) = vreduce(esk64_2(X702,X703))
| X702 = vabs(esk61_2(X702,X703),esk62_2(X702,X703),esk63_2(X702,X703))
| X703 = vnoExp
| ~ epred3_2(X703,X702) )
& ( X703 = vsomeExp(vsubst(esk71_2(X702,X703),esk72_2(X702,X703),esk73_2(X702,X703)))
| esk68_2(X702,X703) = vreduce(esk64_2(X702,X703))
| X702 = vabs(esk61_2(X702,X703),esk62_2(X702,X703),esk63_2(X702,X703))
| X703 = vnoExp
| ~ epred3_2(X703,X702) )
& ( X702 = vapp(vabs(esk71_2(X702,X703),esk69_2(X702,X703),esk73_2(X702,X703)),esk72_2(X702,X703))
| visSomeExp(esk68_2(X702,X703))
| X702 = vabs(esk61_2(X702,X703),esk62_2(X702,X703),esk63_2(X702,X703))
| X703 = vnoExp
| ~ epred3_2(X703,X702) )
& ( esk70_2(X702,X703) = vreduce(esk72_2(X702,X703))
| visSomeExp(esk68_2(X702,X703))
| X702 = vabs(esk61_2(X702,X703),esk62_2(X702,X703),esk63_2(X702,X703))
| X703 = vnoExp
| ~ epred3_2(X703,X702) )
& ( ~ visSomeExp(esk70_2(X702,X703))
| visSomeExp(esk68_2(X702,X703))
| X702 = vabs(esk61_2(X702,X703),esk62_2(X702,X703),esk63_2(X702,X703))
| X703 = vnoExp
| ~ epred3_2(X703,X702) )
& ( visValue(esk72_2(X702,X703))
| visSomeExp(esk68_2(X702,X703))
| X702 = vabs(esk61_2(X702,X703),esk62_2(X702,X703),esk63_2(X702,X703))
| X703 = vnoExp
| ~ epred3_2(X703,X702) )
& ( X703 = vsomeExp(vsubst(esk71_2(X702,X703),esk72_2(X702,X703),esk73_2(X702,X703)))
| visSomeExp(esk68_2(X702,X703))
| X702 = vabs(esk61_2(X702,X703),esk62_2(X702,X703),esk63_2(X702,X703))
| X703 = vnoExp
| ~ epred3_2(X703,X702) )
& ( X702 = vapp(vabs(esk71_2(X702,X703),esk69_2(X702,X703),esk73_2(X702,X703)),esk72_2(X702,X703))
| X703 = vsomeExp(vapp(vabs(esk65_2(X702,X703),esk66_2(X702,X703),esk67_2(X702,X703)),vgetSomeExp(esk68_2(X702,X703))))
| X702 = vabs(esk61_2(X702,X703),esk62_2(X702,X703),esk63_2(X702,X703))
| X703 = vnoExp
| ~ epred3_2(X703,X702) )
& ( esk70_2(X702,X703) = vreduce(esk72_2(X702,X703))
| X703 = vsomeExp(vapp(vabs(esk65_2(X702,X703),esk66_2(X702,X703),esk67_2(X702,X703)),vgetSomeExp(esk68_2(X702,X703))))
| X702 = vabs(esk61_2(X702,X703),esk62_2(X702,X703),esk63_2(X702,X703))
| X703 = vnoExp
| ~ epred3_2(X703,X702) )
& ( ~ visSomeExp(esk70_2(X702,X703))
| X703 = vsomeExp(vapp(vabs(esk65_2(X702,X703),esk66_2(X702,X703),esk67_2(X702,X703)),vgetSomeExp(esk68_2(X702,X703))))
| X702 = vabs(esk61_2(X702,X703),esk62_2(X702,X703),esk63_2(X702,X703))
| X703 = vnoExp
| ~ epred3_2(X703,X702) )
& ( visValue(esk72_2(X702,X703))
| X703 = vsomeExp(vapp(vabs(esk65_2(X702,X703),esk66_2(X702,X703),esk67_2(X702,X703)),vgetSomeExp(esk68_2(X702,X703))))
| X702 = vabs(esk61_2(X702,X703),esk62_2(X702,X703),esk63_2(X702,X703))
| X703 = vnoExp
| ~ epred3_2(X703,X702) )
& ( X703 = vsomeExp(vsubst(esk71_2(X702,X703),esk72_2(X702,X703),esk73_2(X702,X703)))
| X703 = vsomeExp(vapp(vabs(esk65_2(X702,X703),esk66_2(X702,X703),esk67_2(X702,X703)),vgetSomeExp(esk68_2(X702,X703))))
| X702 = vabs(esk61_2(X702,X703),esk62_2(X702,X703),esk63_2(X702,X703))
| X703 = vnoExp
| ~ epred3_2(X703,X702) )
& ( X702 = vapp(vabs(esk71_2(X702,X703),esk69_2(X702,X703),esk73_2(X702,X703)),esk72_2(X702,X703))
| X702 = vapp(vabs(esk65_2(X702,X703),esk66_2(X702,X703),esk67_2(X702,X703)),esk64_2(X702,X703))
| X703 = vnoExp
| X703 = vnoExp
| ~ epred3_2(X703,X702) )
& ( esk70_2(X702,X703) = vreduce(esk72_2(X702,X703))
| X702 = vapp(vabs(esk65_2(X702,X703),esk66_2(X702,X703),esk67_2(X702,X703)),esk64_2(X702,X703))
| X703 = vnoExp
| X703 = vnoExp
| ~ epred3_2(X703,X702) )
& ( ~ visSomeExp(esk70_2(X702,X703))
| X702 = vapp(vabs(esk65_2(X702,X703),esk66_2(X702,X703),esk67_2(X702,X703)),esk64_2(X702,X703))
| X703 = vnoExp
| X703 = vnoExp
| ~ epred3_2(X703,X702) )
& ( visValue(esk72_2(X702,X703))
| X702 = vapp(vabs(esk65_2(X702,X703),esk66_2(X702,X703),esk67_2(X702,X703)),esk64_2(X702,X703))
| X703 = vnoExp
| X703 = vnoExp
| ~ epred3_2(X703,X702) )
& ( X703 = vsomeExp(vsubst(esk71_2(X702,X703),esk72_2(X702,X703),esk73_2(X702,X703)))
| X702 = vapp(vabs(esk65_2(X702,X703),esk66_2(X702,X703),esk67_2(X702,X703)),esk64_2(X702,X703))
| X703 = vnoExp
| X703 = vnoExp
| ~ epred3_2(X703,X702) )
& ( X702 = vapp(vabs(esk71_2(X702,X703),esk69_2(X702,X703),esk73_2(X702,X703)),esk72_2(X702,X703))
| esk68_2(X702,X703) = vreduce(esk64_2(X702,X703))
| X703 = vnoExp
| X703 = vnoExp
| ~ epred3_2(X703,X702) )
& ( esk70_2(X702,X703) = vreduce(esk72_2(X702,X703))
| esk68_2(X702,X703) = vreduce(esk64_2(X702,X703))
| X703 = vnoExp
| X703 = vnoExp
| ~ epred3_2(X703,X702) )
& ( ~ visSomeExp(esk70_2(X702,X703))
| esk68_2(X702,X703) = vreduce(esk64_2(X702,X703))
| X703 = vnoExp
| X703 = vnoExp
| ~ epred3_2(X703,X702) )
& ( visValue(esk72_2(X702,X703))
| esk68_2(X702,X703) = vreduce(esk64_2(X702,X703))
| X703 = vnoExp
| X703 = vnoExp
| ~ epred3_2(X703,X702) )
& ( X703 = vsomeExp(vsubst(esk71_2(X702,X703),esk72_2(X702,X703),esk73_2(X702,X703)))
| esk68_2(X702,X703) = vreduce(esk64_2(X702,X703))
| X703 = vnoExp
| X703 = vnoExp
| ~ epred3_2(X703,X702) )
& ( X702 = vapp(vabs(esk71_2(X702,X703),esk69_2(X702,X703),esk73_2(X702,X703)),esk72_2(X702,X703))
| visSomeExp(esk68_2(X702,X703))
| X703 = vnoExp
| X703 = vnoExp
| ~ epred3_2(X703,X702) )
& ( esk70_2(X702,X703) = vreduce(esk72_2(X702,X703))
| visSomeExp(esk68_2(X702,X703))
| X703 = vnoExp
| X703 = vnoExp
| ~ epred3_2(X703,X702) )
& ( ~ visSomeExp(esk70_2(X702,X703))
| visSomeExp(esk68_2(X702,X703))
| X703 = vnoExp
| X703 = vnoExp
| ~ epred3_2(X703,X702) )
& ( visValue(esk72_2(X702,X703))
| visSomeExp(esk68_2(X702,X703))
| X703 = vnoExp
| X703 = vnoExp
| ~ epred3_2(X703,X702) )
& ( X703 = vsomeExp(vsubst(esk71_2(X702,X703),esk72_2(X702,X703),esk73_2(X702,X703)))
| visSomeExp(esk68_2(X702,X703))
| X703 = vnoExp
| X703 = vnoExp
| ~ epred3_2(X703,X702) )
& ( X702 = vapp(vabs(esk71_2(X702,X703),esk69_2(X702,X703),esk73_2(X702,X703)),esk72_2(X702,X703))
| X703 = vsomeExp(vapp(vabs(esk65_2(X702,X703),esk66_2(X702,X703),esk67_2(X702,X703)),vgetSomeExp(esk68_2(X702,X703))))
| X703 = vnoExp
| X703 = vnoExp
| ~ epred3_2(X703,X702) )
& ( esk70_2(X702,X703) = vreduce(esk72_2(X702,X703))
| X703 = vsomeExp(vapp(vabs(esk65_2(X702,X703),esk66_2(X702,X703),esk67_2(X702,X703)),vgetSomeExp(esk68_2(X702,X703))))
| X703 = vnoExp
| X703 = vnoExp
| ~ epred3_2(X703,X702) )
& ( ~ visSomeExp(esk70_2(X702,X703))
| X703 = vsomeExp(vapp(vabs(esk65_2(X702,X703),esk66_2(X702,X703),esk67_2(X702,X703)),vgetSomeExp(esk68_2(X702,X703))))
| X703 = vnoExp
| X703 = vnoExp
| ~ epred3_2(X703,X702) )
& ( visValue(esk72_2(X702,X703))
| X703 = vsomeExp(vapp(vabs(esk65_2(X702,X703),esk66_2(X702,X703),esk67_2(X702,X703)),vgetSomeExp(esk68_2(X702,X703))))
| X703 = vnoExp
| X703 = vnoExp
| ~ epred3_2(X703,X702) )
& ( X703 = vsomeExp(vsubst(esk71_2(X702,X703),esk72_2(X702,X703),esk73_2(X702,X703)))
| X703 = vsomeExp(vapp(vabs(esk65_2(X702,X703),esk66_2(X702,X703),esk67_2(X702,X703)),vgetSomeExp(esk68_2(X702,X703))))
| X703 = vnoExp
| X703 = vnoExp
| ~ epred3_2(X703,X702) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_60])])])])]) ).
fof(i_0_67,negated_conjecture,
~ ! [X15,X20,X9,X11,X21,X10,X34] :
( ( X9 != X21
& ~ visFreeVar(X21,X11)
& vtcheck(X20,X11,X15)
& vtcheck(vbind(X9,X15,X20),vabs(X21,X10,veabs),X34) )
=> vtcheck(X20,vsubst(X9,X11,vabs(X21,X10,veabs)),X34) ),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],['T-subst-abs-2'])]) ).
fof(i_0_68,plain,
! [X4,X19] :
( epred4_2(X19,X4)
=> ( epred3_2(X19,X4)
| ? [X9,X10,X12,X26,X13] :
( X4 = vapp(vabs(X9,X10,X12),X13)
& X26 = vreduce(X13)
& ~ visSomeExp(X26)
& ~ visValue(X13)
& X19 = vnoExp )
| ? [X12,X27,X13] :
( X4 = vapp(X12,X13)
& ! [X28,X29,X30] : X12 != vabs(X28,X29,X30)
& X27 = vreduce(X12)
& visSomeExp(X27)
& X19 = vsomeExp(vapp(vgetSomeExp(X27),X13)) ) ) ),
inference(apply_def,[status(thm)],[inference(split_equiv,[status(thm)],[i_0_61]),c_0_57]) ).
fof(i_0_69,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_70,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_71,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_72,plain,
! [X9,X10,X20,X11,X15] :
( ( ~ visFreeVar(X9,X11)
& vtcheck(X20,X11,X15) )
=> vtcheck(vbind(X9,X10,X20),X11,X15) ),
inference(fof_simplification,[status(thm)],['T-Weak-FreeVar']) ).
fof(i_0_73,plain,
! [X9,X10,X12,X26,X13,X4,X19] :
( X4 = vapp(vabs(X9,X10,X12),X13)
=> ( ( X26 = vreduce(X13)
& ~ visSomeExp(X26)
& ~ visValue(X13) )
=> ( X19 = vreduce(X4)
=> X19 = vnoExp ) ) ),
inference(fof_simplification,[status(thm)],[reduce4]) ).
fof(i_0_74,plain,
! [X4,X19] :
( vreduce(X4) = X19
=> ( epred4_2(X19,X4)
| ? [X13,X12,X27] :
( X4 = vapp(X12,X13)
& ! [X28,X29,X30] : X12 != vabs(X28,X29,X30)
& X27 = vreduce(X12)
& ~ visSomeExp(X27)
& X19 = vnoExp ) ) ),
inference(apply_def,[status(thm)],[inference(fof_simplification,[status(thm)],['reduce-INV']),c_0_61]) ).
fof(i_0_75,plain,
! [X12,X13,X4] :
( X4 = vapp(X12,X13)
=> ~ visValue(X4) ),
inference(fof_simplification,[status(thm)],[isValue2]) ).
fof(i_0_76,plain,
! [X14,X11] :
( vgensym(X11) = X14
=> ~ visFreeVar(X14,X11) ),
inference(fof_simplification,[status(thm)],['gensym-is-fresh']) ).
fof(i_0_77,plain,
! [X9,X4] :
( X4 = vvar(X9)
=> ~ visValue(X4) ),
inference(fof_simplification,[status(thm)],[isValue1]) ).
fof(i_0_78,plain,
! [X25] :
( X25 = vnoExp
=> ~ visSomeExp(X25) ),
inference(fof_simplification,[status(thm)],[isSomeExp0]) ).
fof(i_0_79,plain,
! [X18] :
( X18 = vnoType
=> ~ visSomeType(X18) ),
inference(fof_simplification,[status(thm)],[isSomeType0]) ).
fof(i_0_80,plain,
! [X683,X684,X685,X686] :
( ( X683 = esk54_4(X683,X684,X685,X686)
| X683 = esk50_4(X683,X684,X685,X686)
| X683 = esk46_4(X683,X684,X685,X686)
| epred1_4(X686,X685,X684,X683)
| ~ epred2_4(X686,X685,X684,X683) )
& ( X684 = esk55_4(X683,X684,X685,X686)
| X683 = esk50_4(X683,X684,X685,X686)
| X683 = esk46_4(X683,X684,X685,X686)
| epred1_4(X686,X685,X684,X683)
| ~ epred2_4(X686,X685,X684,X683) )
& ( X685 = vabs(esk57_4(X683,X684,X685,X686),esk56_4(X683,X684,X685,X686),esk59_4(X683,X684,X685,X686))
| X683 = esk50_4(X683,X684,X685,X686)
| X683 = esk46_4(X683,X684,X685,X686)
| epred1_4(X686,X685,X684,X683)
| ~ epred2_4(X686,X685,X684,X683) )
& ( esk54_4(X683,X684,X685,X686) != esk57_4(X683,X684,X685,X686)
| X683 = esk50_4(X683,X684,X685,X686)
| X683 = esk46_4(X683,X684,X685,X686)
| epred1_4(X686,X685,X684,X683)
| ~ epred2_4(X686,X685,X684,X683) )
& ( visFreeVar(esk57_4(X683,X684,X685,X686),esk55_4(X683,X684,X685,X686))
| X683 = esk50_4(X683,X684,X685,X686)
| X683 = esk46_4(X683,X684,X685,X686)
| epred1_4(X686,X685,X684,X683)
| ~ epred2_4(X686,X685,X684,X683) )
& ( esk58_4(X683,X684,X685,X686) = vgensym(vapp(vapp(esk55_4(X683,X684,X685,X686),esk59_4(X683,X684,X685,X686)),vvar(esk54_4(X683,X684,X685,X686))))
| X683 = esk50_4(X683,X684,X685,X686)
| X683 = esk46_4(X683,X684,X685,X686)
| epred1_4(X686,X685,X684,X683)
| ~ epred2_4(X686,X685,X684,X683) )
& ( X686 = vsubst(esk54_4(X683,X684,X685,X686),esk55_4(X683,X684,X685,X686),vabs(esk58_4(X683,X684,X685,X686),esk56_4(X683,X684,X685,X686),vsubst(esk57_4(X683,X684,X685,X686),vvar(esk58_4(X683,X684,X685,X686)),esk59_4(X683,X684,X685,X686))))
| X683 = esk50_4(X683,X684,X685,X686)
| X683 = esk46_4(X683,X684,X685,X686)
| epred1_4(X686,X685,X684,X683)
| ~ epred2_4(X686,X685,X684,X683) )
& ( X683 = esk54_4(X683,X684,X685,X686)
| X684 = esk49_4(X683,X684,X685,X686)
| X683 = esk46_4(X683,X684,X685,X686)
| epred1_4(X686,X685,X684,X683)
| ~ epred2_4(X686,X685,X684,X683) )
& ( X684 = esk55_4(X683,X684,X685,X686)
| X684 = esk49_4(X683,X684,X685,X686)
| X683 = esk46_4(X683,X684,X685,X686)
| epred1_4(X686,X685,X684,X683)
| ~ epred2_4(X686,X685,X684,X683) )
& ( X685 = vabs(esk57_4(X683,X684,X685,X686),esk56_4(X683,X684,X685,X686),esk59_4(X683,X684,X685,X686))
| X684 = esk49_4(X683,X684,X685,X686)
| X683 = esk46_4(X683,X684,X685,X686)
| epred1_4(X686,X685,X684,X683)
| ~ epred2_4(X686,X685,X684,X683) )
& ( esk54_4(X683,X684,X685,X686) != esk57_4(X683,X684,X685,X686)
| X684 = esk49_4(X683,X684,X685,X686)
| X683 = esk46_4(X683,X684,X685,X686)
| epred1_4(X686,X685,X684,X683)
| ~ epred2_4(X686,X685,X684,X683) )
& ( visFreeVar(esk57_4(X683,X684,X685,X686),esk55_4(X683,X684,X685,X686))
| X684 = esk49_4(X683,X684,X685,X686)
| X683 = esk46_4(X683,X684,X685,X686)
| epred1_4(X686,X685,X684,X683)
| ~ epred2_4(X686,X685,X684,X683) )
& ( esk58_4(X683,X684,X685,X686) = vgensym(vapp(vapp(esk55_4(X683,X684,X685,X686),esk59_4(X683,X684,X685,X686)),vvar(esk54_4(X683,X684,X685,X686))))
| X684 = esk49_4(X683,X684,X685,X686)
| X683 = esk46_4(X683,X684,X685,X686)
| epred1_4(X686,X685,X684,X683)
| ~ epred2_4(X686,X685,X684,X683) )
& ( X686 = vsubst(esk54_4(X683,X684,X685,X686),esk55_4(X683,X684,X685,X686),vabs(esk58_4(X683,X684,X685,X686),esk56_4(X683,X684,X685,X686),vsubst(esk57_4(X683,X684,X685,X686),vvar(esk58_4(X683,X684,X685,X686)),esk59_4(X683,X684,X685,X686))))
| X684 = esk49_4(X683,X684,X685,X686)
| X683 = esk46_4(X683,X684,X685,X686)
| epred1_4(X686,X685,X684,X683)
| ~ epred2_4(X686,X685,X684,X683) )
& ( X683 = esk54_4(X683,X684,X685,X686)
| X685 = vabs(esk51_4(X683,X684,X685,X686),esk52_4(X683,X684,X685,X686),esk53_4(X683,X684,X685,X686))
| X683 = esk46_4(X683,X684,X685,X686)
| epred1_4(X686,X685,X684,X683)
| ~ epred2_4(X686,X685,X684,X683) )
& ( X684 = esk55_4(X683,X684,X685,X686)
| X685 = vabs(esk51_4(X683,X684,X685,X686),esk52_4(X683,X684,X685,X686),esk53_4(X683,X684,X685,X686))
| X683 = esk46_4(X683,X684,X685,X686)
| epred1_4(X686,X685,X684,X683)
| ~ epred2_4(X686,X685,X684,X683) )
& ( X685 = vabs(esk57_4(X683,X684,X685,X686),esk56_4(X683,X684,X685,X686),esk59_4(X683,X684,X685,X686))
| X685 = vabs(esk51_4(X683,X684,X685,X686),esk52_4(X683,X684,X685,X686),esk53_4(X683,X684,X685,X686))
| X683 = esk46_4(X683,X684,X685,X686)
| epred1_4(X686,X685,X684,X683)
| ~ epred2_4(X686,X685,X684,X683) )
& ( esk54_4(X683,X684,X685,X686) != esk57_4(X683,X684,X685,X686)
| X685 = vabs(esk51_4(X683,X684,X685,X686),esk52_4(X683,X684,X685,X686),esk53_4(X683,X684,X685,X686))
| X683 = esk46_4(X683,X684,X685,X686)
| epred1_4(X686,X685,X684,X683)
| ~ epred2_4(X686,X685,X684,X683) )
& ( visFreeVar(esk57_4(X683,X684,X685,X686),esk55_4(X683,X684,X685,X686))
| X685 = vabs(esk51_4(X683,X684,X685,X686),esk52_4(X683,X684,X685,X686),esk53_4(X683,X684,X685,X686))
| X683 = esk46_4(X683,X684,X685,X686)
| epred1_4(X686,X685,X684,X683)
| ~ epred2_4(X686,X685,X684,X683) )
& ( esk58_4(X683,X684,X685,X686) = vgensym(vapp(vapp(esk55_4(X683,X684,X685,X686),esk59_4(X683,X684,X685,X686)),vvar(esk54_4(X683,X684,X685,X686))))
| X685 = vabs(esk51_4(X683,X684,X685,X686),esk52_4(X683,X684,X685,X686),esk53_4(X683,X684,X685,X686))
| X683 = esk46_4(X683,X684,X685,X686)
| epred1_4(X686,X685,X684,X683)
| ~ epred2_4(X686,X685,X684,X683) )
& ( X686 = vsubst(esk54_4(X683,X684,X685,X686),esk55_4(X683,X684,X685,X686),vabs(esk58_4(X683,X684,X685,X686),esk56_4(X683,X684,X685,X686),vsubst(esk57_4(X683,X684,X685,X686),vvar(esk58_4(X683,X684,X685,X686)),esk59_4(X683,X684,X685,X686))))
| X685 = vabs(esk51_4(X683,X684,X685,X686),esk52_4(X683,X684,X685,X686),esk53_4(X683,X684,X685,X686))
| X683 = esk46_4(X683,X684,X685,X686)
| epred1_4(X686,X685,X684,X683)
| ~ epred2_4(X686,X685,X684,X683) )
& ( X683 = esk54_4(X683,X684,X685,X686)
| esk50_4(X683,X684,X685,X686) = esk51_4(X683,X684,X685,X686)
| X683 = esk46_4(X683,X684,X685,X686)
| epred1_4(X686,X685,X684,X683)
| ~ epred2_4(X686,X685,X684,X683) )
& ( X684 = esk55_4(X683,X684,X685,X686)
| esk50_4(X683,X684,X685,X686) = esk51_4(X683,X684,X685,X686)
| X683 = esk46_4(X683,X684,X685,X686)
| epred1_4(X686,X685,X684,X683)
| ~ epred2_4(X686,X685,X684,X683) )
& ( X685 = vabs(esk57_4(X683,X684,X685,X686),esk56_4(X683,X684,X685,X686),esk59_4(X683,X684,X685,X686))
| esk50_4(X683,X684,X685,X686) = esk51_4(X683,X684,X685,X686)
| X683 = esk46_4(X683,X684,X685,X686)
| epred1_4(X686,X685,X684,X683)
| ~ epred2_4(X686,X685,X684,X683) )
& ( esk54_4(X683,X684,X685,X686) != esk57_4(X683,X684,X685,X686)
| esk50_4(X683,X684,X685,X686) = esk51_4(X683,X684,X685,X686)
| X683 = esk46_4(X683,X684,X685,X686)
| epred1_4(X686,X685,X684,X683)
| ~ epred2_4(X686,X685,X684,X683) )
& ( visFreeVar(esk57_4(X683,X684,X685,X686),esk55_4(X683,X684,X685,X686))
| esk50_4(X683,X684,X685,X686) = esk51_4(X683,X684,X685,X686)
| X683 = esk46_4(X683,X684,X685,X686)
| epred1_4(X686,X685,X684,X683)
| ~ epred2_4(X686,X685,X684,X683) )
& ( esk58_4(X683,X684,X685,X686) = vgensym(vapp(vapp(esk55_4(X683,X684,X685,X686),esk59_4(X683,X684,X685,X686)),vvar(esk54_4(X683,X684,X685,X686))))
| esk50_4(X683,X684,X685,X686) = esk51_4(X683,X684,X685,X686)
| X683 = esk46_4(X683,X684,X685,X686)
| epred1_4(X686,X685,X684,X683)
| ~ epred2_4(X686,X685,X684,X683) )
& ( X686 = vsubst(esk54_4(X683,X684,X685,X686),esk55_4(X683,X684,X685,X686),vabs(esk58_4(X683,X684,X685,X686),esk56_4(X683,X684,X685,X686),vsubst(esk57_4(X683,X684,X685,X686),vvar(esk58_4(X683,X684,X685,X686)),esk59_4(X683,X684,X685,X686))))
| esk50_4(X683,X684,X685,X686) = esk51_4(X683,X684,X685,X686)
| X683 = esk46_4(X683,X684,X685,X686)
| epred1_4(X686,X685,X684,X683)
| ~ epred2_4(X686,X685,X684,X683) )
& ( X683 = esk54_4(X683,X684,X685,X686)
| X686 = vabs(esk51_4(X683,X684,X685,X686),esk52_4(X683,X684,X685,X686),esk53_4(X683,X684,X685,X686))
| X683 = esk46_4(X683,X684,X685,X686)
| epred1_4(X686,X685,X684,X683)
| ~ epred2_4(X686,X685,X684,X683) )
& ( X684 = esk55_4(X683,X684,X685,X686)
| X686 = vabs(esk51_4(X683,X684,X685,X686),esk52_4(X683,X684,X685,X686),esk53_4(X683,X684,X685,X686))
| X683 = esk46_4(X683,X684,X685,X686)
| epred1_4(X686,X685,X684,X683)
| ~ epred2_4(X686,X685,X684,X683) )
& ( X685 = vabs(esk57_4(X683,X684,X685,X686),esk56_4(X683,X684,X685,X686),esk59_4(X683,X684,X685,X686))
| X686 = vabs(esk51_4(X683,X684,X685,X686),esk52_4(X683,X684,X685,X686),esk53_4(X683,X684,X685,X686))
| X683 = esk46_4(X683,X684,X685,X686)
| epred1_4(X686,X685,X684,X683)
| ~ epred2_4(X686,X685,X684,X683) )
& ( esk54_4(X683,X684,X685,X686) != esk57_4(X683,X684,X685,X686)
| X686 = vabs(esk51_4(X683,X684,X685,X686),esk52_4(X683,X684,X685,X686),esk53_4(X683,X684,X685,X686))
| X683 = esk46_4(X683,X684,X685,X686)
| epred1_4(X686,X685,X684,X683)
| ~ epred2_4(X686,X685,X684,X683) )
& ( visFreeVar(esk57_4(X683,X684,X685,X686),esk55_4(X683,X684,X685,X686))
| X686 = vabs(esk51_4(X683,X684,X685,X686),esk52_4(X683,X684,X685,X686),esk53_4(X683,X684,X685,X686))
| X683 = esk46_4(X683,X684,X685,X686)
| epred1_4(X686,X685,X684,X683)
| ~ epred2_4(X686,X685,X684,X683) )
& ( esk58_4(X683,X684,X685,X686) = vgensym(vapp(vapp(esk55_4(X683,X684,X685,X686),esk59_4(X683,X684,X685,X686)),vvar(esk54_4(X683,X684,X685,X686))))
| X686 = vabs(esk51_4(X683,X684,X685,X686),esk52_4(X683,X684,X685,X686),esk53_4(X683,X684,X685,X686))
| X683 = esk46_4(X683,X684,X685,X686)
| epred1_4(X686,X685,X684,X683)
| ~ epred2_4(X686,X685,X684,X683) )
& ( X686 = vsubst(esk54_4(X683,X684,X685,X686),esk55_4(X683,X684,X685,X686),vabs(esk58_4(X683,X684,X685,X686),esk56_4(X683,X684,X685,X686),vsubst(esk57_4(X683,X684,X685,X686),vvar(esk58_4(X683,X684,X685,X686)),esk59_4(X683,X684,X685,X686))))
| X686 = vabs(esk51_4(X683,X684,X685,X686),esk52_4(X683,X684,X685,X686),esk53_4(X683,X684,X685,X686))
| X683 = esk46_4(X683,X684,X685,X686)
| epred1_4(X686,X685,X684,X683)
| ~ epred2_4(X686,X685,X684,X683) )
& ( X683 = esk54_4(X683,X684,X685,X686)
| X683 = esk50_4(X683,X684,X685,X686)
| X684 = esk47_4(X683,X684,X685,X686)
| epred1_4(X686,X685,X684,X683)
| ~ epred2_4(X686,X685,X684,X683) )
& ( X684 = esk55_4(X683,X684,X685,X686)
| X683 = esk50_4(X683,X684,X685,X686)
| X684 = esk47_4(X683,X684,X685,X686)
| epred1_4(X686,X685,X684,X683)
| ~ epred2_4(X686,X685,X684,X683) )
& ( X685 = vabs(esk57_4(X683,X684,X685,X686),esk56_4(X683,X684,X685,X686),esk59_4(X683,X684,X685,X686))
| X683 = esk50_4(X683,X684,X685,X686)
| X684 = esk47_4(X683,X684,X685,X686)
| epred1_4(X686,X685,X684,X683)
| ~ epred2_4(X686,X685,X684,X683) )
& ( esk54_4(X683,X684,X685,X686) != esk57_4(X683,X684,X685,X686)
| X683 = esk50_4(X683,X684,X685,X686)
| X684 = esk47_4(X683,X684,X685,X686)
| epred1_4(X686,X685,X684,X683)
| ~ epred2_4(X686,X685,X684,X683) )
& ( visFreeVar(esk57_4(X683,X684,X685,X686),esk55_4(X683,X684,X685,X686))
| X683 = esk50_4(X683,X684,X685,X686)
| X684 = esk47_4(X683,X684,X685,X686)
| epred1_4(X686,X685,X684,X683)
| ~ epred2_4(X686,X685,X684,X683) )
& ( esk58_4(X683,X684,X685,X686) = vgensym(vapp(vapp(esk55_4(X683,X684,X685,X686),esk59_4(X683,X684,X685,X686)),vvar(esk54_4(X683,X684,X685,X686))))
| X683 = esk50_4(X683,X684,X685,X686)
| X684 = esk47_4(X683,X684,X685,X686)
| epred1_4(X686,X685,X684,X683)
| ~ epred2_4(X686,X685,X684,X683) )
& ( X686 = vsubst(esk54_4(X683,X684,X685,X686),esk55_4(X683,X684,X685,X686),vabs(esk58_4(X683,X684,X685,X686),esk56_4(X683,X684,X685,X686),vsubst(esk57_4(X683,X684,X685,X686),vvar(esk58_4(X683,X684,X685,X686)),esk59_4(X683,X684,X685,X686))))
| X683 = esk50_4(X683,X684,X685,X686)
| X684 = esk47_4(X683,X684,X685,X686)
| epred1_4(X686,X685,X684,X683)
| ~ epred2_4(X686,X685,X684,X683) )
& ( X683 = esk54_4(X683,X684,X685,X686)
| X684 = esk49_4(X683,X684,X685,X686)
| X684 = esk47_4(X683,X684,X685,X686)
| epred1_4(X686,X685,X684,X683)
| ~ epred2_4(X686,X685,X684,X683) )
& ( X684 = esk55_4(X683,X684,X685,X686)
| X684 = esk49_4(X683,X684,X685,X686)
| X684 = esk47_4(X683,X684,X685,X686)
| epred1_4(X686,X685,X684,X683)
| ~ epred2_4(X686,X685,X684,X683) )
& ( X685 = vabs(esk57_4(X683,X684,X685,X686),esk56_4(X683,X684,X685,X686),esk59_4(X683,X684,X685,X686))
| X684 = esk49_4(X683,X684,X685,X686)
| X684 = esk47_4(X683,X684,X685,X686)
| epred1_4(X686,X685,X684,X683)
| ~ epred2_4(X686,X685,X684,X683) )
& ( esk54_4(X683,X684,X685,X686) != esk57_4(X683,X684,X685,X686)
| X684 = esk49_4(X683,X684,X685,X686)
| X684 = esk47_4(X683,X684,X685,X686)
| epred1_4(X686,X685,X684,X683)
| ~ epred2_4(X686,X685,X684,X683) )
& ( visFreeVar(esk57_4(X683,X684,X685,X686),esk55_4(X683,X684,X685,X686))
| X684 = esk49_4(X683,X684,X685,X686)
| X684 = esk47_4(X683,X684,X685,X686)
| epred1_4(X686,X685,X684,X683)
| ~ epred2_4(X686,X685,X684,X683) )
& ( esk58_4(X683,X684,X685,X686) = vgensym(vapp(vapp(esk55_4(X683,X684,X685,X686),esk59_4(X683,X684,X685,X686)),vvar(esk54_4(X683,X684,X685,X686))))
| X684 = esk49_4(X683,X684,X685,X686)
| X684 = esk47_4(X683,X684,X685,X686)
| epred1_4(X686,X685,X684,X683)
| ~ epred2_4(X686,X685,X684,X683) )
& ( X686 = vsubst(esk54_4(X683,X684,X685,X686),esk55_4(X683,X684,X685,X686),vabs(esk58_4(X683,X684,X685,X686),esk56_4(X683,X684,X685,X686),vsubst(esk57_4(X683,X684,X685,X686),vvar(esk58_4(X683,X684,X685,X686)),esk59_4(X683,X684,X685,X686))))
| X684 = esk49_4(X683,X684,X685,X686)
| X684 = esk47_4(X683,X684,X685,X686)
| epred1_4(X686,X685,X684,X683)
| ~ epred2_4(X686,X685,X684,X683) )
& ( X683 = esk54_4(X683,X684,X685,X686)
| X685 = vabs(esk51_4(X683,X684,X685,X686),esk52_4(X683,X684,X685,X686),esk53_4(X683,X684,X685,X686))
| X684 = esk47_4(X683,X684,X685,X686)
| epred1_4(X686,X685,X684,X683)
| ~ epred2_4(X686,X685,X684,X683) )
& ( X684 = esk55_4(X683,X684,X685,X686)
| X685 = vabs(esk51_4(X683,X684,X685,X686),esk52_4(X683,X684,X685,X686),esk53_4(X683,X684,X685,X686))
| X684 = esk47_4(X683,X684,X685,X686)
| epred1_4(X686,X685,X684,X683)
| ~ epred2_4(X686,X685,X684,X683) )
& ( X685 = vabs(esk57_4(X683,X684,X685,X686),esk56_4(X683,X684,X685,X686),esk59_4(X683,X684,X685,X686))
| X685 = vabs(esk51_4(X683,X684,X685,X686),esk52_4(X683,X684,X685,X686),esk53_4(X683,X684,X685,X686))
| X684 = esk47_4(X683,X684,X685,X686)
| epred1_4(X686,X685,X684,X683)
| ~ epred2_4(X686,X685,X684,X683) )
& ( esk54_4(X683,X684,X685,X686) != esk57_4(X683,X684,X685,X686)
| X685 = vabs(esk51_4(X683,X684,X685,X686),esk52_4(X683,X684,X685,X686),esk53_4(X683,X684,X685,X686))
| X684 = esk47_4(X683,X684,X685,X686)
| epred1_4(X686,X685,X684,X683)
| ~ epred2_4(X686,X685,X684,X683) )
& ( visFreeVar(esk57_4(X683,X684,X685,X686),esk55_4(X683,X684,X685,X686))
| X685 = vabs(esk51_4(X683,X684,X685,X686),esk52_4(X683,X684,X685,X686),esk53_4(X683,X684,X685,X686))
| X684 = esk47_4(X683,X684,X685,X686)
| epred1_4(X686,X685,X684,X683)
| ~ epred2_4(X686,X685,X684,X683) )
& ( esk58_4(X683,X684,X685,X686) = vgensym(vapp(vapp(esk55_4(X683,X684,X685,X686),esk59_4(X683,X684,X685,X686)),vvar(esk54_4(X683,X684,X685,X686))))
| X685 = vabs(esk51_4(X683,X684,X685,X686),esk52_4(X683,X684,X685,X686),esk53_4(X683,X684,X685,X686))
| X684 = esk47_4(X683,X684,X685,X686)
| epred1_4(X686,X685,X684,X683)
| ~ epred2_4(X686,X685,X684,X683) )
& ( X686 = vsubst(esk54_4(X683,X684,X685,X686),esk55_4(X683,X684,X685,X686),vabs(esk58_4(X683,X684,X685,X686),esk56_4(X683,X684,X685,X686),vsubst(esk57_4(X683,X684,X685,X686),vvar(esk58_4(X683,X684,X685,X686)),esk59_4(X683,X684,X685,X686))))
| X685 = vabs(esk51_4(X683,X684,X685,X686),esk52_4(X683,X684,X685,X686),esk53_4(X683,X684,X685,X686))
| X684 = esk47_4(X683,X684,X685,X686)
| epred1_4(X686,X685,X684,X683)
| ~ epred2_4(X686,X685,X684,X683) )
& ( X683 = esk54_4(X683,X684,X685,X686)
| esk50_4(X683,X684,X685,X686) = esk51_4(X683,X684,X685,X686)
| X684 = esk47_4(X683,X684,X685,X686)
| epred1_4(X686,X685,X684,X683)
| ~ epred2_4(X686,X685,X684,X683) )
& ( X684 = esk55_4(X683,X684,X685,X686)
| esk50_4(X683,X684,X685,X686) = esk51_4(X683,X684,X685,X686)
| X684 = esk47_4(X683,X684,X685,X686)
| epred1_4(X686,X685,X684,X683)
| ~ epred2_4(X686,X685,X684,X683) )
& ( X685 = vabs(esk57_4(X683,X684,X685,X686),esk56_4(X683,X684,X685,X686),esk59_4(X683,X684,X685,X686))
| esk50_4(X683,X684,X685,X686) = esk51_4(X683,X684,X685,X686)
| X684 = esk47_4(X683,X684,X685,X686)
| epred1_4(X686,X685,X684,X683)
| ~ epred2_4(X686,X685,X684,X683) )
& ( esk54_4(X683,X684,X685,X686) != esk57_4(X683,X684,X685,X686)
| esk50_4(X683,X684,X685,X686) = esk51_4(X683,X684,X685,X686)
| X684 = esk47_4(X683,X684,X685,X686)
| epred1_4(X686,X685,X684,X683)
| ~ epred2_4(X686,X685,X684,X683) )
& ( visFreeVar(esk57_4(X683,X684,X685,X686),esk55_4(X683,X684,X685,X686))
| esk50_4(X683,X684,X685,X686) = esk51_4(X683,X684,X685,X686)
| X684 = esk47_4(X683,X684,X685,X686)
| epred1_4(X686,X685,X684,X683)
| ~ epred2_4(X686,X685,X684,X683) )
& ( esk58_4(X683,X684,X685,X686) = vgensym(vapp(vapp(esk55_4(X683,X684,X685,X686),esk59_4(X683,X684,X685,X686)),vvar(esk54_4(X683,X684,X685,X686))))
| esk50_4(X683,X684,X685,X686) = esk51_4(X683,X684,X685,X686)
| X684 = esk47_4(X683,X684,X685,X686)
| epred1_4(X686,X685,X684,X683)
| ~ epred2_4(X686,X685,X684,X683) )
& ( X686 = vsubst(esk54_4(X683,X684,X685,X686),esk55_4(X683,X684,X685,X686),vabs(esk58_4(X683,X684,X685,X686),esk56_4(X683,X684,X685,X686),vsubst(esk57_4(X683,X684,X685,X686),vvar(esk58_4(X683,X684,X685,X686)),esk59_4(X683,X684,X685,X686))))
| esk50_4(X683,X684,X685,X686) = esk51_4(X683,X684,X685,X686)
| X684 = esk47_4(X683,X684,X685,X686)
| epred1_4(X686,X685,X684,X683)
| ~ epred2_4(X686,X685,X684,X683) )
& ( X683 = esk54_4(X683,X684,X685,X686)
| X686 = vabs(esk51_4(X683,X684,X685,X686),esk52_4(X683,X684,X685,X686),esk53_4(X683,X684,X685,X686))
| X684 = esk47_4(X683,X684,X685,X686)
| epred1_4(X686,X685,X684,X683)
| ~ epred2_4(X686,X685,X684,X683) )
& ( X684 = esk55_4(X683,X684,X685,X686)
| X686 = vabs(esk51_4(X683,X684,X685,X686),esk52_4(X683,X684,X685,X686),esk53_4(X683,X684,X685,X686))
| X684 = esk47_4(X683,X684,X685,X686)
| epred1_4(X686,X685,X684,X683)
| ~ epred2_4(X686,X685,X684,X683) )
& ( X685 = vabs(esk57_4(X683,X684,X685,X686),esk56_4(X683,X684,X685,X686),esk59_4(X683,X684,X685,X686))
| X686 = vabs(esk51_4(X683,X684,X685,X686),esk52_4(X683,X684,X685,X686),esk53_4(X683,X684,X685,X686))
| X684 = esk47_4(X683,X684,X685,X686)
| epred1_4(X686,X685,X684,X683)
| ~ epred2_4(X686,X685,X684,X683) )
& ( esk54_4(X683,X684,X685,X686) != esk57_4(X683,X684,X685,X686)
| X686 = vabs(esk51_4(X683,X684,X685,X686),esk52_4(X683,X684,X685,X686),esk53_4(X683,X684,X685,X686))
| X684 = esk47_4(X683,X684,X685,X686)
| epred1_4(X686,X685,X684,X683)
| ~ epred2_4(X686,X685,X684,X683) )
& ( visFreeVar(esk57_4(X683,X684,X685,X686),esk55_4(X683,X684,X685,X686))
| X686 = vabs(esk51_4(X683,X684,X685,X686),esk52_4(X683,X684,X685,X686),esk53_4(X683,X684,X685,X686))
| X684 = esk47_4(X683,X684,X685,X686)
| epred1_4(X686,X685,X684,X683)
| ~ epred2_4(X686,X685,X684,X683) )
& ( esk58_4(X683,X684,X685,X686) = vgensym(vapp(vapp(esk55_4(X683,X684,X685,X686),esk59_4(X683,X684,X685,X686)),vvar(esk54_4(X683,X684,X685,X686))))
| X686 = vabs(esk51_4(X683,X684,X685,X686),esk52_4(X683,X684,X685,X686),esk53_4(X683,X684,X685,X686))
| X684 = esk47_4(X683,X684,X685,X686)
| epred1_4(X686,X685,X684,X683)
| ~ epred2_4(X686,X685,X684,X683) )
& ( X686 = vsubst(esk54_4(X683,X684,X685,X686),esk55_4(X683,X684,X685,X686),vabs(esk58_4(X683,X684,X685,X686),esk56_4(X683,X684,X685,X686),vsubst(esk57_4(X683,X684,X685,X686),vvar(esk58_4(X683,X684,X685,X686)),esk59_4(X683,X684,X685,X686))))
| X686 = vabs(esk51_4(X683,X684,X685,X686),esk52_4(X683,X684,X685,X686),esk53_4(X683,X684,X685,X686))
| X684 = esk47_4(X683,X684,X685,X686)
| epred1_4(X686,X685,X684,X683)
| ~ epred2_4(X686,X685,X684,X683) )
& ( X683 = esk54_4(X683,X684,X685,X686)
| X683 = esk50_4(X683,X684,X685,X686)
| X685 = vapp(esk45_4(X683,X684,X685,X686),esk48_4(X683,X684,X685,X686))
| epred1_4(X686,X685,X684,X683)
| ~ epred2_4(X686,X685,X684,X683) )
& ( X684 = esk55_4(X683,X684,X685,X686)
| X683 = esk50_4(X683,X684,X685,X686)
| X685 = vapp(esk45_4(X683,X684,X685,X686),esk48_4(X683,X684,X685,X686))
| epred1_4(X686,X685,X684,X683)
| ~ epred2_4(X686,X685,X684,X683) )
& ( X685 = vabs(esk57_4(X683,X684,X685,X686),esk56_4(X683,X684,X685,X686),esk59_4(X683,X684,X685,X686))
| X683 = esk50_4(X683,X684,X685,X686)
| X685 = vapp(esk45_4(X683,X684,X685,X686),esk48_4(X683,X684,X685,X686))
| epred1_4(X686,X685,X684,X683)
| ~ epred2_4(X686,X685,X684,X683) )
& ( esk54_4(X683,X684,X685,X686) != esk57_4(X683,X684,X685,X686)
| X683 = esk50_4(X683,X684,X685,X686)
| X685 = vapp(esk45_4(X683,X684,X685,X686),esk48_4(X683,X684,X685,X686))
| epred1_4(X686,X685,X684,X683)
| ~ epred2_4(X686,X685,X684,X683) )
& ( visFreeVar(esk57_4(X683,X684,X685,X686),esk55_4(X683,X684,X685,X686))
| X683 = esk50_4(X683,X684,X685,X686)
| X685 = vapp(esk45_4(X683,X684,X685,X686),esk48_4(X683,X684,X685,X686))
| epred1_4(X686,X685,X684,X683)
| ~ epred2_4(X686,X685,X684,X683) )
& ( esk58_4(X683,X684,X685,X686) = vgensym(vapp(vapp(esk55_4(X683,X684,X685,X686),esk59_4(X683,X684,X685,X686)),vvar(esk54_4(X683,X684,X685,X686))))
| X683 = esk50_4(X683,X684,X685,X686)
| X685 = vapp(esk45_4(X683,X684,X685,X686),esk48_4(X683,X684,X685,X686))
| epred1_4(X686,X685,X684,X683)
| ~ epred2_4(X686,X685,X684,X683) )
& ( X686 = vsubst(esk54_4(X683,X684,X685,X686),esk55_4(X683,X684,X685,X686),vabs(esk58_4(X683,X684,X685,X686),esk56_4(X683,X684,X685,X686),vsubst(esk57_4(X683,X684,X685,X686),vvar(esk58_4(X683,X684,X685,X686)),esk59_4(X683,X684,X685,X686))))
| X683 = esk50_4(X683,X684,X685,X686)
| X685 = vapp(esk45_4(X683,X684,X685,X686),esk48_4(X683,X684,X685,X686))
| epred1_4(X686,X685,X684,X683)
| ~ epred2_4(X686,X685,X684,X683) )
& ( X683 = esk54_4(X683,X684,X685,X686)
| X684 = esk49_4(X683,X684,X685,X686)
| X685 = vapp(esk45_4(X683,X684,X685,X686),esk48_4(X683,X684,X685,X686))
| epred1_4(X686,X685,X684,X683)
| ~ epred2_4(X686,X685,X684,X683) )
& ( X684 = esk55_4(X683,X684,X685,X686)
| X684 = esk49_4(X683,X684,X685,X686)
| X685 = vapp(esk45_4(X683,X684,X685,X686),esk48_4(X683,X684,X685,X686))
| epred1_4(X686,X685,X684,X683)
| ~ epred2_4(X686,X685,X684,X683) )
& ( X685 = vabs(esk57_4(X683,X684,X685,X686),esk56_4(X683,X684,X685,X686),esk59_4(X683,X684,X685,X686))
| X684 = esk49_4(X683,X684,X685,X686)
| X685 = vapp(esk45_4(X683,X684,X685,X686),esk48_4(X683,X684,X685,X686))
| epred1_4(X686,X685,X684,X683)
| ~ epred2_4(X686,X685,X684,X683) )
& ( esk54_4(X683,X684,X685,X686) != esk57_4(X683,X684,X685,X686)
| X684 = esk49_4(X683,X684,X685,X686)
| X685 = vapp(esk45_4(X683,X684,X685,X686),esk48_4(X683,X684,X685,X686))
| epred1_4(X686,X685,X684,X683)
| ~ epred2_4(X686,X685,X684,X683) )
& ( visFreeVar(esk57_4(X683,X684,X685,X686),esk55_4(X683,X684,X685,X686))
| X684 = esk49_4(X683,X684,X685,X686)
| X685 = vapp(esk45_4(X683,X684,X685,X686),esk48_4(X683,X684,X685,X686))
| epred1_4(X686,X685,X684,X683)
| ~ epred2_4(X686,X685,X684,X683) )
& ( esk58_4(X683,X684,X685,X686) = vgensym(vapp(vapp(esk55_4(X683,X684,X685,X686),esk59_4(X683,X684,X685,X686)),vvar(esk54_4(X683,X684,X685,X686))))
| X684 = esk49_4(X683,X684,X685,X686)
| X685 = vapp(esk45_4(X683,X684,X685,X686),esk48_4(X683,X684,X685,X686))
| epred1_4(X686,X685,X684,X683)
| ~ epred2_4(X686,X685,X684,X683) )
& ( X686 = vsubst(esk54_4(X683,X684,X685,X686),esk55_4(X683,X684,X685,X686),vabs(esk58_4(X683,X684,X685,X686),esk56_4(X683,X684,X685,X686),vsubst(esk57_4(X683,X684,X685,X686),vvar(esk58_4(X683,X684,X685,X686)),esk59_4(X683,X684,X685,X686))))
| X684 = esk49_4(X683,X684,X685,X686)
| X685 = vapp(esk45_4(X683,X684,X685,X686),esk48_4(X683,X684,X685,X686))
| epred1_4(X686,X685,X684,X683)
| ~ epred2_4(X686,X685,X684,X683) )
& ( X683 = esk54_4(X683,X684,X685,X686)
| X685 = vabs(esk51_4(X683,X684,X685,X686),esk52_4(X683,X684,X685,X686),esk53_4(X683,X684,X685,X686))
| X685 = vapp(esk45_4(X683,X684,X685,X686),esk48_4(X683,X684,X685,X686))
| epred1_4(X686,X685,X684,X683)
| ~ epred2_4(X686,X685,X684,X683) )
& ( X684 = esk55_4(X683,X684,X685,X686)
| X685 = vabs(esk51_4(X683,X684,X685,X686),esk52_4(X683,X684,X685,X686),esk53_4(X683,X684,X685,X686))
| X685 = vapp(esk45_4(X683,X684,X685,X686),esk48_4(X683,X684,X685,X686))
| epred1_4(X686,X685,X684,X683)
| ~ epred2_4(X686,X685,X684,X683) )
& ( X685 = vabs(esk57_4(X683,X684,X685,X686),esk56_4(X683,X684,X685,X686),esk59_4(X683,X684,X685,X686))
| X685 = vabs(esk51_4(X683,X684,X685,X686),esk52_4(X683,X684,X685,X686),esk53_4(X683,X684,X685,X686))
| X685 = vapp(esk45_4(X683,X684,X685,X686),esk48_4(X683,X684,X685,X686))
| epred1_4(X686,X685,X684,X683)
| ~ epred2_4(X686,X685,X684,X683) )
& ( esk54_4(X683,X684,X685,X686) != esk57_4(X683,X684,X685,X686)
| X685 = vabs(esk51_4(X683,X684,X685,X686),esk52_4(X683,X684,X685,X686),esk53_4(X683,X684,X685,X686))
| X685 = vapp(esk45_4(X683,X684,X685,X686),esk48_4(X683,X684,X685,X686))
| epred1_4(X686,X685,X684,X683)
| ~ epred2_4(X686,X685,X684,X683) )
& ( visFreeVar(esk57_4(X683,X684,X685,X686),esk55_4(X683,X684,X685,X686))
| X685 = vabs(esk51_4(X683,X684,X685,X686),esk52_4(X683,X684,X685,X686),esk53_4(X683,X684,X685,X686))
| X685 = vapp(esk45_4(X683,X684,X685,X686),esk48_4(X683,X684,X685,X686))
| epred1_4(X686,X685,X684,X683)
| ~ epred2_4(X686,X685,X684,X683) )
& ( esk58_4(X683,X684,X685,X686) = vgensym(vapp(vapp(esk55_4(X683,X684,X685,X686),esk59_4(X683,X684,X685,X686)),vvar(esk54_4(X683,X684,X685,X686))))
| X685 = vabs(esk51_4(X683,X684,X685,X686),esk52_4(X683,X684,X685,X686),esk53_4(X683,X684,X685,X686))
| X685 = vapp(esk45_4(X683,X684,X685,X686),esk48_4(X683,X684,X685,X686))
| epred1_4(X686,X685,X684,X683)
| ~ epred2_4(X686,X685,X684,X683) )
& ( X686 = vsubst(esk54_4(X683,X684,X685,X686),esk55_4(X683,X684,X685,X686),vabs(esk58_4(X683,X684,X685,X686),esk56_4(X683,X684,X685,X686),vsubst(esk57_4(X683,X684,X685,X686),vvar(esk58_4(X683,X684,X685,X686)),esk59_4(X683,X684,X685,X686))))
| X685 = vabs(esk51_4(X683,X684,X685,X686),esk52_4(X683,X684,X685,X686),esk53_4(X683,X684,X685,X686))
| X685 = vapp(esk45_4(X683,X684,X685,X686),esk48_4(X683,X684,X685,X686))
| epred1_4(X686,X685,X684,X683)
| ~ epred2_4(X686,X685,X684,X683) )
& ( X683 = esk54_4(X683,X684,X685,X686)
| esk50_4(X683,X684,X685,X686) = esk51_4(X683,X684,X685,X686)
| X685 = vapp(esk45_4(X683,X684,X685,X686),esk48_4(X683,X684,X685,X686))
| epred1_4(X686,X685,X684,X683)
| ~ epred2_4(X686,X685,X684,X683) )
& ( X684 = esk55_4(X683,X684,X685,X686)
| esk50_4(X683,X684,X685,X686) = esk51_4(X683,X684,X685,X686)
| X685 = vapp(esk45_4(X683,X684,X685,X686),esk48_4(X683,X684,X685,X686))
| epred1_4(X686,X685,X684,X683)
| ~ epred2_4(X686,X685,X684,X683) )
& ( X685 = vabs(esk57_4(X683,X684,X685,X686),esk56_4(X683,X684,X685,X686),esk59_4(X683,X684,X685,X686))
| esk50_4(X683,X684,X685,X686) = esk51_4(X683,X684,X685,X686)
| X685 = vapp(esk45_4(X683,X684,X685,X686),esk48_4(X683,X684,X685,X686))
| epred1_4(X686,X685,X684,X683)
| ~ epred2_4(X686,X685,X684,X683) )
& ( esk54_4(X683,X684,X685,X686) != esk57_4(X683,X684,X685,X686)
| esk50_4(X683,X684,X685,X686) = esk51_4(X683,X684,X685,X686)
| X685 = vapp(esk45_4(X683,X684,X685,X686),esk48_4(X683,X684,X685,X686))
| epred1_4(X686,X685,X684,X683)
| ~ epred2_4(X686,X685,X684,X683) )
& ( visFreeVar(esk57_4(X683,X684,X685,X686),esk55_4(X683,X684,X685,X686))
| esk50_4(X683,X684,X685,X686) = esk51_4(X683,X684,X685,X686)
| X685 = vapp(esk45_4(X683,X684,X685,X686),esk48_4(X683,X684,X685,X686))
| epred1_4(X686,X685,X684,X683)
| ~ epred2_4(X686,X685,X684,X683) )
& ( esk58_4(X683,X684,X685,X686) = vgensym(vapp(vapp(esk55_4(X683,X684,X685,X686),esk59_4(X683,X684,X685,X686)),vvar(esk54_4(X683,X684,X685,X686))))
| esk50_4(X683,X684,X685,X686) = esk51_4(X683,X684,X685,X686)
| X685 = vapp(esk45_4(X683,X684,X685,X686),esk48_4(X683,X684,X685,X686))
| epred1_4(X686,X685,X684,X683)
| ~ epred2_4(X686,X685,X684,X683) )
& ( X686 = vsubst(esk54_4(X683,X684,X685,X686),esk55_4(X683,X684,X685,X686),vabs(esk58_4(X683,X684,X685,X686),esk56_4(X683,X684,X685,X686),vsubst(esk57_4(X683,X684,X685,X686),vvar(esk58_4(X683,X684,X685,X686)),esk59_4(X683,X684,X685,X686))))
| esk50_4(X683,X684,X685,X686) = esk51_4(X683,X684,X685,X686)
| X685 = vapp(esk45_4(X683,X684,X685,X686),esk48_4(X683,X684,X685,X686))
| epred1_4(X686,X685,X684,X683)
| ~ epred2_4(X686,X685,X684,X683) )
& ( X683 = esk54_4(X683,X684,X685,X686)
| X686 = vabs(esk51_4(X683,X684,X685,X686),esk52_4(X683,X684,X685,X686),esk53_4(X683,X684,X685,X686))
| X685 = vapp(esk45_4(X683,X684,X685,X686),esk48_4(X683,X684,X685,X686))
| epred1_4(X686,X685,X684,X683)
| ~ epred2_4(X686,X685,X684,X683) )
& ( X684 = esk55_4(X683,X684,X685,X686)
| X686 = vabs(esk51_4(X683,X684,X685,X686),esk52_4(X683,X684,X685,X686),esk53_4(X683,X684,X685,X686))
| X685 = vapp(esk45_4(X683,X684,X685,X686),esk48_4(X683,X684,X685,X686))
| epred1_4(X686,X685,X684,X683)
| ~ epred2_4(X686,X685,X684,X683) )
& ( X685 = vabs(esk57_4(X683,X684,X685,X686),esk56_4(X683,X684,X685,X686),esk59_4(X683,X684,X685,X686))
| X686 = vabs(esk51_4(X683,X684,X685,X686),esk52_4(X683,X684,X685,X686),esk53_4(X683,X684,X685,X686))
| X685 = vapp(esk45_4(X683,X684,X685,X686),esk48_4(X683,X684,X685,X686))
| epred1_4(X686,X685,X684,X683)
| ~ epred2_4(X686,X685,X684,X683) )
& ( esk54_4(X683,X684,X685,X686) != esk57_4(X683,X684,X685,X686)
| X686 = vabs(esk51_4(X683,X684,X685,X686),esk52_4(X683,X684,X685,X686),esk53_4(X683,X684,X685,X686))
| X685 = vapp(esk45_4(X683,X684,X685,X686),esk48_4(X683,X684,X685,X686))
| epred1_4(X686,X685,X684,X683)
| ~ epred2_4(X686,X685,X684,X683) )
& ( visFreeVar(esk57_4(X683,X684,X685,X686),esk55_4(X683,X684,X685,X686))
| X686 = vabs(esk51_4(X683,X684,X685,X686),esk52_4(X683,X684,X685,X686),esk53_4(X683,X684,X685,X686))
| X685 = vapp(esk45_4(X683,X684,X685,X686),esk48_4(X683,X684,X685,X686))
| epred1_4(X686,X685,X684,X683)
| ~ epred2_4(X686,X685,X684,X683) )
& ( esk58_4(X683,X684,X685,X686) = vgensym(vapp(vapp(esk55_4(X683,X684,X685,X686),esk59_4(X683,X684,X685,X686)),vvar(esk54_4(X683,X684,X685,X686))))
| X686 = vabs(esk51_4(X683,X684,X685,X686),esk52_4(X683,X684,X685,X686),esk53_4(X683,X684,X685,X686))
| X685 = vapp(esk45_4(X683,X684,X685,X686),esk48_4(X683,X684,X685,X686))
| epred1_4(X686,X685,X684,X683)
| ~ epred2_4(X686,X685,X684,X683) )
& ( X686 = vsubst(esk54_4(X683,X684,X685,X686),esk55_4(X683,X684,X685,X686),vabs(esk58_4(X683,X684,X685,X686),esk56_4(X683,X684,X685,X686),vsubst(esk57_4(X683,X684,X685,X686),vvar(esk58_4(X683,X684,X685,X686)),esk59_4(X683,X684,X685,X686))))
| X686 = vabs(esk51_4(X683,X684,X685,X686),esk52_4(X683,X684,X685,X686),esk53_4(X683,X684,X685,X686))
| X685 = vapp(esk45_4(X683,X684,X685,X686),esk48_4(X683,X684,X685,X686))
| epred1_4(X686,X685,X684,X683)
| ~ epred2_4(X686,X685,X684,X683) )
& ( X683 = esk54_4(X683,X684,X685,X686)
| X683 = esk50_4(X683,X684,X685,X686)
| X686 = vapp(vsubst(esk46_4(X683,X684,X685,X686),esk47_4(X683,X684,X685,X686),esk45_4(X683,X684,X685,X686)),vsubst(esk46_4(X683,X684,X685,X686),esk47_4(X683,X684,X685,X686),esk48_4(X683,X684,X685,X686)))
| epred1_4(X686,X685,X684,X683)
| ~ epred2_4(X686,X685,X684,X683) )
& ( X684 = esk55_4(X683,X684,X685,X686)
| X683 = esk50_4(X683,X684,X685,X686)
| X686 = vapp(vsubst(esk46_4(X683,X684,X685,X686),esk47_4(X683,X684,X685,X686),esk45_4(X683,X684,X685,X686)),vsubst(esk46_4(X683,X684,X685,X686),esk47_4(X683,X684,X685,X686),esk48_4(X683,X684,X685,X686)))
| epred1_4(X686,X685,X684,X683)
| ~ epred2_4(X686,X685,X684,X683) )
& ( X685 = vabs(esk57_4(X683,X684,X685,X686),esk56_4(X683,X684,X685,X686),esk59_4(X683,X684,X685,X686))
| X683 = esk50_4(X683,X684,X685,X686)
| X686 = vapp(vsubst(esk46_4(X683,X684,X685,X686),esk47_4(X683,X684,X685,X686),esk45_4(X683,X684,X685,X686)),vsubst(esk46_4(X683,X684,X685,X686),esk47_4(X683,X684,X685,X686),esk48_4(X683,X684,X685,X686)))
| epred1_4(X686,X685,X684,X683)
| ~ epred2_4(X686,X685,X684,X683) )
& ( esk54_4(X683,X684,X685,X686) != esk57_4(X683,X684,X685,X686)
| X683 = esk50_4(X683,X684,X685,X686)
| X686 = vapp(vsubst(esk46_4(X683,X684,X685,X686),esk47_4(X683,X684,X685,X686),esk45_4(X683,X684,X685,X686)),vsubst(esk46_4(X683,X684,X685,X686),esk47_4(X683,X684,X685,X686),esk48_4(X683,X684,X685,X686)))
| epred1_4(X686,X685,X684,X683)
| ~ epred2_4(X686,X685,X684,X683) )
& ( visFreeVar(esk57_4(X683,X684,X685,X686),esk55_4(X683,X684,X685,X686))
| X683 = esk50_4(X683,X684,X685,X686)
| X686 = vapp(vsubst(esk46_4(X683,X684,X685,X686),esk47_4(X683,X684,X685,X686),esk45_4(X683,X684,X685,X686)),vsubst(esk46_4(X683,X684,X685,X686),esk47_4(X683,X684,X685,X686),esk48_4(X683,X684,X685,X686)))
| epred1_4(X686,X685,X684,X683)
| ~ epred2_4(X686,X685,X684,X683) )
& ( esk58_4(X683,X684,X685,X686) = vgensym(vapp(vapp(esk55_4(X683,X684,X685,X686),esk59_4(X683,X684,X685,X686)),vvar(esk54_4(X683,X684,X685,X686))))
| X683 = esk50_4(X683,X684,X685,X686)
| X686 = vapp(vsubst(esk46_4(X683,X684,X685,X686),esk47_4(X683,X684,X685,X686),esk45_4(X683,X684,X685,X686)),vsubst(esk46_4(X683,X684,X685,X686),esk47_4(X683,X684,X685,X686),esk48_4(X683,X684,X685,X686)))
| epred1_4(X686,X685,X684,X683)
| ~ epred2_4(X686,X685,X684,X683) )
& ( X686 = vsubst(esk54_4(X683,X684,X685,X686),esk55_4(X683,X684,X685,X686),vabs(esk58_4(X683,X684,X685,X686),esk56_4(X683,X684,X685,X686),vsubst(esk57_4(X683,X684,X685,X686),vvar(esk58_4(X683,X684,X685,X686)),esk59_4(X683,X684,X685,X686))))
| X683 = esk50_4(X683,X684,X685,X686)
| X686 = vapp(vsubst(esk46_4(X683,X684,X685,X686),esk47_4(X683,X684,X685,X686),esk45_4(X683,X684,X685,X686)),vsubst(esk46_4(X683,X684,X685,X686),esk47_4(X683,X684,X685,X686),esk48_4(X683,X684,X685,X686)))
| epred1_4(X686,X685,X684,X683)
| ~ epred2_4(X686,X685,X684,X683) )
& ( X683 = esk54_4(X683,X684,X685,X686)
| X684 = esk49_4(X683,X684,X685,X686)
| X686 = vapp(vsubst(esk46_4(X683,X684,X685,X686),esk47_4(X683,X684,X685,X686),esk45_4(X683,X684,X685,X686)),vsubst(esk46_4(X683,X684,X685,X686),esk47_4(X683,X684,X685,X686),esk48_4(X683,X684,X685,X686)))
| epred1_4(X686,X685,X684,X683)
| ~ epred2_4(X686,X685,X684,X683) )
& ( X684 = esk55_4(X683,X684,X685,X686)
| X684 = esk49_4(X683,X684,X685,X686)
| X686 = vapp(vsubst(esk46_4(X683,X684,X685,X686),esk47_4(X683,X684,X685,X686),esk45_4(X683,X684,X685,X686)),vsubst(esk46_4(X683,X684,X685,X686),esk47_4(X683,X684,X685,X686),esk48_4(X683,X684,X685,X686)))
| epred1_4(X686,X685,X684,X683)
| ~ epred2_4(X686,X685,X684,X683) )
& ( X685 = vabs(esk57_4(X683,X684,X685,X686),esk56_4(X683,X684,X685,X686),esk59_4(X683,X684,X685,X686))
| X684 = esk49_4(X683,X684,X685,X686)
| X686 = vapp(vsubst(esk46_4(X683,X684,X685,X686),esk47_4(X683,X684,X685,X686),esk45_4(X683,X684,X685,X686)),vsubst(esk46_4(X683,X684,X685,X686),esk47_4(X683,X684,X685,X686),esk48_4(X683,X684,X685,X686)))
| epred1_4(X686,X685,X684,X683)
| ~ epred2_4(X686,X685,X684,X683) )
& ( esk54_4(X683,X684,X685,X686) != esk57_4(X683,X684,X685,X686)
| X684 = esk49_4(X683,X684,X685,X686)
| X686 = vapp(vsubst(esk46_4(X683,X684,X685,X686),esk47_4(X683,X684,X685,X686),esk45_4(X683,X684,X685,X686)),vsubst(esk46_4(X683,X684,X685,X686),esk47_4(X683,X684,X685,X686),esk48_4(X683,X684,X685,X686)))
| epred1_4(X686,X685,X684,X683)
| ~ epred2_4(X686,X685,X684,X683) )
& ( visFreeVar(esk57_4(X683,X684,X685,X686),esk55_4(X683,X684,X685,X686))
| X684 = esk49_4(X683,X684,X685,X686)
| X686 = vapp(vsubst(esk46_4(X683,X684,X685,X686),esk47_4(X683,X684,X685,X686),esk45_4(X683,X684,X685,X686)),vsubst(esk46_4(X683,X684,X685,X686),esk47_4(X683,X684,X685,X686),esk48_4(X683,X684,X685,X686)))
| epred1_4(X686,X685,X684,X683)
| ~ epred2_4(X686,X685,X684,X683) )
& ( esk58_4(X683,X684,X685,X686) = vgensym(vapp(vapp(esk55_4(X683,X684,X685,X686),esk59_4(X683,X684,X685,X686)),vvar(esk54_4(X683,X684,X685,X686))))
| X684 = esk49_4(X683,X684,X685,X686)
| X686 = vapp(vsubst(esk46_4(X683,X684,X685,X686),esk47_4(X683,X684,X685,X686),esk45_4(X683,X684,X685,X686)),vsubst(esk46_4(X683,X684,X685,X686),esk47_4(X683,X684,X685,X686),esk48_4(X683,X684,X685,X686)))
| epred1_4(X686,X685,X684,X683)
| ~ epred2_4(X686,X685,X684,X683) )
& ( X686 = vsubst(esk54_4(X683,X684,X685,X686),esk55_4(X683,X684,X685,X686),vabs(esk58_4(X683,X684,X685,X686),esk56_4(X683,X684,X685,X686),vsubst(esk57_4(X683,X684,X685,X686),vvar(esk58_4(X683,X684,X685,X686)),esk59_4(X683,X684,X685,X686))))
| X684 = esk49_4(X683,X684,X685,X686)
| X686 = vapp(vsubst(esk46_4(X683,X684,X685,X686),esk47_4(X683,X684,X685,X686),esk45_4(X683,X684,X685,X686)),vsubst(esk46_4(X683,X684,X685,X686),esk47_4(X683,X684,X685,X686),esk48_4(X683,X684,X685,X686)))
| epred1_4(X686,X685,X684,X683)
| ~ epred2_4(X686,X685,X684,X683) )
& ( X683 = esk54_4(X683,X684,X685,X686)
| X685 = vabs(esk51_4(X683,X684,X685,X686),esk52_4(X683,X684,X685,X686),esk53_4(X683,X684,X685,X686))
| X686 = vapp(vsubst(esk46_4(X683,X684,X685,X686),esk47_4(X683,X684,X685,X686),esk45_4(X683,X684,X685,X686)),vsubst(esk46_4(X683,X684,X685,X686),esk47_4(X683,X684,X685,X686),esk48_4(X683,X684,X685,X686)))
| epred1_4(X686,X685,X684,X683)
| ~ epred2_4(X686,X685,X684,X683) )
& ( X684 = esk55_4(X683,X684,X685,X686)
| X685 = vabs(esk51_4(X683,X684,X685,X686),esk52_4(X683,X684,X685,X686),esk53_4(X683,X684,X685,X686))
| X686 = vapp(vsubst(esk46_4(X683,X684,X685,X686),esk47_4(X683,X684,X685,X686),esk45_4(X683,X684,X685,X686)),vsubst(esk46_4(X683,X684,X685,X686),esk47_4(X683,X684,X685,X686),esk48_4(X683,X684,X685,X686)))
| epred1_4(X686,X685,X684,X683)
| ~ epred2_4(X686,X685,X684,X683) )
& ( X685 = vabs(esk57_4(X683,X684,X685,X686),esk56_4(X683,X684,X685,X686),esk59_4(X683,X684,X685,X686))
| X685 = vabs(esk51_4(X683,X684,X685,X686),esk52_4(X683,X684,X685,X686),esk53_4(X683,X684,X685,X686))
| X686 = vapp(vsubst(esk46_4(X683,X684,X685,X686),esk47_4(X683,X684,X685,X686),esk45_4(X683,X684,X685,X686)),vsubst(esk46_4(X683,X684,X685,X686),esk47_4(X683,X684,X685,X686),esk48_4(X683,X684,X685,X686)))
| epred1_4(X686,X685,X684,X683)
| ~ epred2_4(X686,X685,X684,X683) )
& ( esk54_4(X683,X684,X685,X686) != esk57_4(X683,X684,X685,X686)
| X685 = vabs(esk51_4(X683,X684,X685,X686),esk52_4(X683,X684,X685,X686),esk53_4(X683,X684,X685,X686))
| X686 = vapp(vsubst(esk46_4(X683,X684,X685,X686),esk47_4(X683,X684,X685,X686),esk45_4(X683,X684,X685,X686)),vsubst(esk46_4(X683,X684,X685,X686),esk47_4(X683,X684,X685,X686),esk48_4(X683,X684,X685,X686)))
| epred1_4(X686,X685,X684,X683)
| ~ epred2_4(X686,X685,X684,X683) )
& ( visFreeVar(esk57_4(X683,X684,X685,X686),esk55_4(X683,X684,X685,X686))
| X685 = vabs(esk51_4(X683,X684,X685,X686),esk52_4(X683,X684,X685,X686),esk53_4(X683,X684,X685,X686))
| X686 = vapp(vsubst(esk46_4(X683,X684,X685,X686),esk47_4(X683,X684,X685,X686),esk45_4(X683,X684,X685,X686)),vsubst(esk46_4(X683,X684,X685,X686),esk47_4(X683,X684,X685,X686),esk48_4(X683,X684,X685,X686)))
| epred1_4(X686,X685,X684,X683)
| ~ epred2_4(X686,X685,X684,X683) )
& ( esk58_4(X683,X684,X685,X686) = vgensym(vapp(vapp(esk55_4(X683,X684,X685,X686),esk59_4(X683,X684,X685,X686)),vvar(esk54_4(X683,X684,X685,X686))))
| X685 = vabs(esk51_4(X683,X684,X685,X686),esk52_4(X683,X684,X685,X686),esk53_4(X683,X684,X685,X686))
| X686 = vapp(vsubst(esk46_4(X683,X684,X685,X686),esk47_4(X683,X684,X685,X686),esk45_4(X683,X684,X685,X686)),vsubst(esk46_4(X683,X684,X685,X686),esk47_4(X683,X684,X685,X686),esk48_4(X683,X684,X685,X686)))
| epred1_4(X686,X685,X684,X683)
| ~ epred2_4(X686,X685,X684,X683) )
& ( X686 = vsubst(esk54_4(X683,X684,X685,X686),esk55_4(X683,X684,X685,X686),vabs(esk58_4(X683,X684,X685,X686),esk56_4(X683,X684,X685,X686),vsubst(esk57_4(X683,X684,X685,X686),vvar(esk58_4(X683,X684,X685,X686)),esk59_4(X683,X684,X685,X686))))
| X685 = vabs(esk51_4(X683,X684,X685,X686),esk52_4(X683,X684,X685,X686),esk53_4(X683,X684,X685,X686))
| X686 = vapp(vsubst(esk46_4(X683,X684,X685,X686),esk47_4(X683,X684,X685,X686),esk45_4(X683,X684,X685,X686)),vsubst(esk46_4(X683,X684,X685,X686),esk47_4(X683,X684,X685,X686),esk48_4(X683,X684,X685,X686)))
| epred1_4(X686,X685,X684,X683)
| ~ epred2_4(X686,X685,X684,X683) )
& ( X683 = esk54_4(X683,X684,X685,X686)
| esk50_4(X683,X684,X685,X686) = esk51_4(X683,X684,X685,X686)
| X686 = vapp(vsubst(esk46_4(X683,X684,X685,X686),esk47_4(X683,X684,X685,X686),esk45_4(X683,X684,X685,X686)),vsubst(esk46_4(X683,X684,X685,X686),esk47_4(X683,X684,X685,X686),esk48_4(X683,X684,X685,X686)))
| epred1_4(X686,X685,X684,X683)
| ~ epred2_4(X686,X685,X684,X683) )
& ( X684 = esk55_4(X683,X684,X685,X686)
| esk50_4(X683,X684,X685,X686) = esk51_4(X683,X684,X685,X686)
| X686 = vapp(vsubst(esk46_4(X683,X684,X685,X686),esk47_4(X683,X684,X685,X686),esk45_4(X683,X684,X685,X686)),vsubst(esk46_4(X683,X684,X685,X686),esk47_4(X683,X684,X685,X686),esk48_4(X683,X684,X685,X686)))
| epred1_4(X686,X685,X684,X683)
| ~ epred2_4(X686,X685,X684,X683) )
& ( X685 = vabs(esk57_4(X683,X684,X685,X686),esk56_4(X683,X684,X685,X686),esk59_4(X683,X684,X685,X686))
| esk50_4(X683,X684,X685,X686) = esk51_4(X683,X684,X685,X686)
| X686 = vapp(vsubst(esk46_4(X683,X684,X685,X686),esk47_4(X683,X684,X685,X686),esk45_4(X683,X684,X685,X686)),vsubst(esk46_4(X683,X684,X685,X686),esk47_4(X683,X684,X685,X686),esk48_4(X683,X684,X685,X686)))
| epred1_4(X686,X685,X684,X683)
| ~ epred2_4(X686,X685,X684,X683) )
& ( esk54_4(X683,X684,X685,X686) != esk57_4(X683,X684,X685,X686)
| esk50_4(X683,X684,X685,X686) = esk51_4(X683,X684,X685,X686)
| X686 = vapp(vsubst(esk46_4(X683,X684,X685,X686),esk47_4(X683,X684,X685,X686),esk45_4(X683,X684,X685,X686)),vsubst(esk46_4(X683,X684,X685,X686),esk47_4(X683,X684,X685,X686),esk48_4(X683,X684,X685,X686)))
| epred1_4(X686,X685,X684,X683)
| ~ epred2_4(X686,X685,X684,X683) )
& ( visFreeVar(esk57_4(X683,X684,X685,X686),esk55_4(X683,X684,X685,X686))
| esk50_4(X683,X684,X685,X686) = esk51_4(X683,X684,X685,X686)
| X686 = vapp(vsubst(esk46_4(X683,X684,X685,X686),esk47_4(X683,X684,X685,X686),esk45_4(X683,X684,X685,X686)),vsubst(esk46_4(X683,X684,X685,X686),esk47_4(X683,X684,X685,X686),esk48_4(X683,X684,X685,X686)))
| epred1_4(X686,X685,X684,X683)
| ~ epred2_4(X686,X685,X684,X683) )
& ( esk58_4(X683,X684,X685,X686) = vgensym(vapp(vapp(esk55_4(X683,X684,X685,X686),esk59_4(X683,X684,X685,X686)),vvar(esk54_4(X683,X684,X685,X686))))
| esk50_4(X683,X684,X685,X686) = esk51_4(X683,X684,X685,X686)
| X686 = vapp(vsubst(esk46_4(X683,X684,X685,X686),esk47_4(X683,X684,X685,X686),esk45_4(X683,X684,X685,X686)),vsubst(esk46_4(X683,X684,X685,X686),esk47_4(X683,X684,X685,X686),esk48_4(X683,X684,X685,X686)))
| epred1_4(X686,X685,X684,X683)
| ~ epred2_4(X686,X685,X684,X683) )
& ( X686 = vsubst(esk54_4(X683,X684,X685,X686),esk55_4(X683,X684,X685,X686),vabs(esk58_4(X683,X684,X685,X686),esk56_4(X683,X684,X685,X686),vsubst(esk57_4(X683,X684,X685,X686),vvar(esk58_4(X683,X684,X685,X686)),esk59_4(X683,X684,X685,X686))))
| esk50_4(X683,X684,X685,X686) = esk51_4(X683,X684,X685,X686)
| X686 = vapp(vsubst(esk46_4(X683,X684,X685,X686),esk47_4(X683,X684,X685,X686),esk45_4(X683,X684,X685,X686)),vsubst(esk46_4(X683,X684,X685,X686),esk47_4(X683,X684,X685,X686),esk48_4(X683,X684,X685,X686)))
| epred1_4(X686,X685,X684,X683)
| ~ epred2_4(X686,X685,X684,X683) )
& ( X683 = esk54_4(X683,X684,X685,X686)
| X686 = vabs(esk51_4(X683,X684,X685,X686),esk52_4(X683,X684,X685,X686),esk53_4(X683,X684,X685,X686))
| X686 = vapp(vsubst(esk46_4(X683,X684,X685,X686),esk47_4(X683,X684,X685,X686),esk45_4(X683,X684,X685,X686)),vsubst(esk46_4(X683,X684,X685,X686),esk47_4(X683,X684,X685,X686),esk48_4(X683,X684,X685,X686)))
| epred1_4(X686,X685,X684,X683)
| ~ epred2_4(X686,X685,X684,X683) )
& ( X684 = esk55_4(X683,X684,X685,X686)
| X686 = vabs(esk51_4(X683,X684,X685,X686),esk52_4(X683,X684,X685,X686),esk53_4(X683,X684,X685,X686))
| X686 = vapp(vsubst(esk46_4(X683,X684,X685,X686),esk47_4(X683,X684,X685,X686),esk45_4(X683,X684,X685,X686)),vsubst(esk46_4(X683,X684,X685,X686),esk47_4(X683,X684,X685,X686),esk48_4(X683,X684,X685,X686)))
| epred1_4(X686,X685,X684,X683)
| ~ epred2_4(X686,X685,X684,X683) )
& ( X685 = vabs(esk57_4(X683,X684,X685,X686),esk56_4(X683,X684,X685,X686),esk59_4(X683,X684,X685,X686))
| X686 = vabs(esk51_4(X683,X684,X685,X686),esk52_4(X683,X684,X685,X686),esk53_4(X683,X684,X685,X686))
| X686 = vapp(vsubst(esk46_4(X683,X684,X685,X686),esk47_4(X683,X684,X685,X686),esk45_4(X683,X684,X685,X686)),vsubst(esk46_4(X683,X684,X685,X686),esk47_4(X683,X684,X685,X686),esk48_4(X683,X684,X685,X686)))
| epred1_4(X686,X685,X684,X683)
| ~ epred2_4(X686,X685,X684,X683) )
& ( esk54_4(X683,X684,X685,X686) != esk57_4(X683,X684,X685,X686)
| X686 = vabs(esk51_4(X683,X684,X685,X686),esk52_4(X683,X684,X685,X686),esk53_4(X683,X684,X685,X686))
| X686 = vapp(vsubst(esk46_4(X683,X684,X685,X686),esk47_4(X683,X684,X685,X686),esk45_4(X683,X684,X685,X686)),vsubst(esk46_4(X683,X684,X685,X686),esk47_4(X683,X684,X685,X686),esk48_4(X683,X684,X685,X686)))
| epred1_4(X686,X685,X684,X683)
| ~ epred2_4(X686,X685,X684,X683) )
& ( visFreeVar(esk57_4(X683,X684,X685,X686),esk55_4(X683,X684,X685,X686))
| X686 = vabs(esk51_4(X683,X684,X685,X686),esk52_4(X683,X684,X685,X686),esk53_4(X683,X684,X685,X686))
| X686 = vapp(vsubst(esk46_4(X683,X684,X685,X686),esk47_4(X683,X684,X685,X686),esk45_4(X683,X684,X685,X686)),vsubst(esk46_4(X683,X684,X685,X686),esk47_4(X683,X684,X685,X686),esk48_4(X683,X684,X685,X686)))
| epred1_4(X686,X685,X684,X683)
| ~ epred2_4(X686,X685,X684,X683) )
& ( esk58_4(X683,X684,X685,X686) = vgensym(vapp(vapp(esk55_4(X683,X684,X685,X686),esk59_4(X683,X684,X685,X686)),vvar(esk54_4(X683,X684,X685,X686))))
| X686 = vabs(esk51_4(X683,X684,X685,X686),esk52_4(X683,X684,X685,X686),esk53_4(X683,X684,X685,X686))
| X686 = vapp(vsubst(esk46_4(X683,X684,X685,X686),esk47_4(X683,X684,X685,X686),esk45_4(X683,X684,X685,X686)),vsubst(esk46_4(X683,X684,X685,X686),esk47_4(X683,X684,X685,X686),esk48_4(X683,X684,X685,X686)))
| epred1_4(X686,X685,X684,X683)
| ~ epred2_4(X686,X685,X684,X683) )
& ( X686 = vsubst(esk54_4(X683,X684,X685,X686),esk55_4(X683,X684,X685,X686),vabs(esk58_4(X683,X684,X685,X686),esk56_4(X683,X684,X685,X686),vsubst(esk57_4(X683,X684,X685,X686),vvar(esk58_4(X683,X684,X685,X686)),esk59_4(X683,X684,X685,X686))))
| X686 = vabs(esk51_4(X683,X684,X685,X686),esk52_4(X683,X684,X685,X686),esk53_4(X683,X684,X685,X686))
| X686 = vapp(vsubst(esk46_4(X683,X684,X685,X686),esk47_4(X683,X684,X685,X686),esk45_4(X683,X684,X685,X686)),vsubst(esk46_4(X683,X684,X685,X686),esk47_4(X683,X684,X685,X686),esk48_4(X683,X684,X685,X686)))
| epred1_4(X686,X685,X684,X683)
| ~ epred2_4(X686,X685,X684,X683) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_62])])])]) ).
fof(i_0_81,plain,
! [X586,X587,X588,X589,X590] :
( X587 != vapp(X586,X590)
| X586 = vabs(esk15_5(X586,X587,X588,X589,X590),esk16_5(X586,X587,X588,X589,X590),esk17_5(X586,X587,X588,X589,X590))
| X589 != vreduce(X586)
| ~ visSomeExp(X589)
| X588 != vreduce(X587)
| X588 = vsomeExp(vapp(vgetSomeExp(X589),X590)) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[reduce5])])]) ).
fof(i_0_82,plain,
! [X539,X540,X541,X542] :
( ( X539 = esk12_4(X539,X540,X541,X542)
| epred2_4(X542,X541,X540,X539)
| vsubst(X539,X540,X541) != X542 )
& ( X540 = esk13_4(X539,X540,X541,X542)
| epred2_4(X542,X541,X540,X539)
| vsubst(X539,X540,X541) != X542 )
& ( X541 = vabs(esk10_4(X539,X540,X541,X542),esk11_4(X539,X540,X541,X542),esk14_4(X539,X540,X541,X542))
| epred2_4(X542,X541,X540,X539)
| vsubst(X539,X540,X541) != X542 )
& ( esk12_4(X539,X540,X541,X542) != esk10_4(X539,X540,X541,X542)
| epred2_4(X542,X541,X540,X539)
| vsubst(X539,X540,X541) != X542 )
& ( ~ visFreeVar(esk10_4(X539,X540,X541,X542),esk13_4(X539,X540,X541,X542))
| epred2_4(X542,X541,X540,X539)
| vsubst(X539,X540,X541) != X542 )
& ( X542 = vabs(esk10_4(X539,X540,X541,X542),esk11_4(X539,X540,X541,X542),vsubst(esk12_4(X539,X540,X541,X542),esk13_4(X539,X540,X541,X542),esk14_4(X539,X540,X541,X542)))
| epred2_4(X542,X541,X540,X539)
| vsubst(X539,X540,X541) != X542 ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_63])])])]) ).
fof(i_0_83,plain,
! [X673,X674,X675,X676] :
( ( X673 = esk43_4(X673,X674,X675,X676)
| X673 = esk39_4(X673,X674,X675,X676)
| ~ epred1_4(X676,X675,X674,X673) )
& ( X674 = esk42_4(X673,X674,X675,X676)
| X673 = esk39_4(X673,X674,X675,X676)
| ~ epred1_4(X676,X675,X674,X673) )
& ( X675 = vvar(esk44_4(X673,X674,X675,X676))
| X673 = esk39_4(X673,X674,X675,X676)
| ~ epred1_4(X676,X675,X674,X673) )
& ( esk43_4(X673,X674,X675,X676) != esk44_4(X673,X674,X675,X676)
| X673 = esk39_4(X673,X674,X675,X676)
| ~ epred1_4(X676,X675,X674,X673) )
& ( X676 = vvar(esk44_4(X673,X674,X675,X676))
| X673 = esk39_4(X673,X674,X675,X676)
| ~ epred1_4(X676,X675,X674,X673) )
& ( X673 = esk43_4(X673,X674,X675,X676)
| X674 = esk41_4(X673,X674,X675,X676)
| ~ epred1_4(X676,X675,X674,X673) )
& ( X674 = esk42_4(X673,X674,X675,X676)
| X674 = esk41_4(X673,X674,X675,X676)
| ~ epred1_4(X676,X675,X674,X673) )
& ( X675 = vvar(esk44_4(X673,X674,X675,X676))
| X674 = esk41_4(X673,X674,X675,X676)
| ~ epred1_4(X676,X675,X674,X673) )
& ( esk43_4(X673,X674,X675,X676) != esk44_4(X673,X674,X675,X676)
| X674 = esk41_4(X673,X674,X675,X676)
| ~ epred1_4(X676,X675,X674,X673) )
& ( X676 = vvar(esk44_4(X673,X674,X675,X676))
| X674 = esk41_4(X673,X674,X675,X676)
| ~ epred1_4(X676,X675,X674,X673) )
& ( X673 = esk43_4(X673,X674,X675,X676)
| X675 = vvar(esk40_4(X673,X674,X675,X676))
| ~ epred1_4(X676,X675,X674,X673) )
& ( X674 = esk42_4(X673,X674,X675,X676)
| X675 = vvar(esk40_4(X673,X674,X675,X676))
| ~ epred1_4(X676,X675,X674,X673) )
& ( X675 = vvar(esk44_4(X673,X674,X675,X676))
| X675 = vvar(esk40_4(X673,X674,X675,X676))
| ~ epred1_4(X676,X675,X674,X673) )
& ( esk43_4(X673,X674,X675,X676) != esk44_4(X673,X674,X675,X676)
| X675 = vvar(esk40_4(X673,X674,X675,X676))
| ~ epred1_4(X676,X675,X674,X673) )
& ( X676 = vvar(esk44_4(X673,X674,X675,X676))
| X675 = vvar(esk40_4(X673,X674,X675,X676))
| ~ epred1_4(X676,X675,X674,X673) )
& ( X673 = esk43_4(X673,X674,X675,X676)
| esk39_4(X673,X674,X675,X676) = esk40_4(X673,X674,X675,X676)
| ~ epred1_4(X676,X675,X674,X673) )
& ( X674 = esk42_4(X673,X674,X675,X676)
| esk39_4(X673,X674,X675,X676) = esk40_4(X673,X674,X675,X676)
| ~ epred1_4(X676,X675,X674,X673) )
& ( X675 = vvar(esk44_4(X673,X674,X675,X676))
| esk39_4(X673,X674,X675,X676) = esk40_4(X673,X674,X675,X676)
| ~ epred1_4(X676,X675,X674,X673) )
& ( esk43_4(X673,X674,X675,X676) != esk44_4(X673,X674,X675,X676)
| esk39_4(X673,X674,X675,X676) = esk40_4(X673,X674,X675,X676)
| ~ epred1_4(X676,X675,X674,X673) )
& ( X676 = vvar(esk44_4(X673,X674,X675,X676))
| esk39_4(X673,X674,X675,X676) = esk40_4(X673,X674,X675,X676)
| ~ epred1_4(X676,X675,X674,X673) )
& ( X673 = esk43_4(X673,X674,X675,X676)
| X676 = esk41_4(X673,X674,X675,X676)
| ~ epred1_4(X676,X675,X674,X673) )
& ( X674 = esk42_4(X673,X674,X675,X676)
| X676 = esk41_4(X673,X674,X675,X676)
| ~ epred1_4(X676,X675,X674,X673) )
& ( X675 = vvar(esk44_4(X673,X674,X675,X676))
| X676 = esk41_4(X673,X674,X675,X676)
| ~ epred1_4(X676,X675,X674,X673) )
& ( esk43_4(X673,X674,X675,X676) != esk44_4(X673,X674,X675,X676)
| X676 = esk41_4(X673,X674,X675,X676)
| ~ epred1_4(X676,X675,X674,X673) )
& ( X676 = vvar(esk44_4(X673,X674,X675,X676))
| X676 = esk41_4(X673,X674,X675,X676)
| ~ epred1_4(X676,X675,X674,X673) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_64])])])]) ).
fof(i_0_84,plain,
! [X594,X595,X596,X597,X601] :
( X597 != vapp(X595,X594)
| X595 = vabs(esk18_4(X594,X595,X596,X597),esk19_4(X594,X595,X596,X597),esk20_4(X594,X595,X596,X597))
| X596 != vreduce(X595)
| visSomeExp(X596)
| X601 != vreduce(X597)
| X601 = vnoExp ),
inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_65])])])])]) ).
fof(i_0_85,plain,
! [X627,X628,X629] :
( ( X627 = vapp(esk29_3(X627,X628,X629),esk30_3(X627,X628,X629))
| X627 = vabs(esk25_3(X627,X628,X629),esk27_3(X627,X628,X629),esk26_3(X627,X628,X629))
| X627 = vvar(esk24_3(X627,X628,X629))
| ~ vtcheck(X629,X627,X628) )
& ( vtcheck(X629,esk29_3(X627,X628,X629),varrow(esk31_3(X627,X628,X629),X628))
| X627 = vabs(esk25_3(X627,X628,X629),esk27_3(X627,X628,X629),esk26_3(X627,X628,X629))
| X627 = vvar(esk24_3(X627,X628,X629))
| ~ vtcheck(X629,X627,X628) )
& ( vtcheck(X629,esk30_3(X627,X628,X629),esk31_3(X627,X628,X629))
| X627 = vabs(esk25_3(X627,X628,X629),esk27_3(X627,X628,X629),esk26_3(X627,X628,X629))
| X627 = vvar(esk24_3(X627,X628,X629))
| ~ vtcheck(X629,X627,X628) )
& ( X627 = vapp(esk29_3(X627,X628,X629),esk30_3(X627,X628,X629))
| X628 = varrow(esk27_3(X627,X628,X629),esk28_3(X627,X628,X629))
| X627 = vvar(esk24_3(X627,X628,X629))
| ~ vtcheck(X629,X627,X628) )
& ( vtcheck(X629,esk29_3(X627,X628,X629),varrow(esk31_3(X627,X628,X629),X628))
| X628 = varrow(esk27_3(X627,X628,X629),esk28_3(X627,X628,X629))
| X627 = vvar(esk24_3(X627,X628,X629))
| ~ vtcheck(X629,X627,X628) )
& ( vtcheck(X629,esk30_3(X627,X628,X629),esk31_3(X627,X628,X629))
| X628 = varrow(esk27_3(X627,X628,X629),esk28_3(X627,X628,X629))
| X627 = vvar(esk24_3(X627,X628,X629))
| ~ vtcheck(X629,X627,X628) )
& ( X627 = vapp(esk29_3(X627,X628,X629),esk30_3(X627,X628,X629))
| vtcheck(vbind(esk25_3(X627,X628,X629),esk27_3(X627,X628,X629),X629),esk26_3(X627,X628,X629),esk28_3(X627,X628,X629))
| X627 = vvar(esk24_3(X627,X628,X629))
| ~ vtcheck(X629,X627,X628) )
& ( vtcheck(X629,esk29_3(X627,X628,X629),varrow(esk31_3(X627,X628,X629),X628))
| vtcheck(vbind(esk25_3(X627,X628,X629),esk27_3(X627,X628,X629),X629),esk26_3(X627,X628,X629),esk28_3(X627,X628,X629))
| X627 = vvar(esk24_3(X627,X628,X629))
| ~ vtcheck(X629,X627,X628) )
& ( vtcheck(X629,esk30_3(X627,X628,X629),esk31_3(X627,X628,X629))
| vtcheck(vbind(esk25_3(X627,X628,X629),esk27_3(X627,X628,X629),X629),esk26_3(X627,X628,X629),esk28_3(X627,X628,X629))
| X627 = vvar(esk24_3(X627,X628,X629))
| ~ vtcheck(X629,X627,X628) )
& ( X627 = vapp(esk29_3(X627,X628,X629),esk30_3(X627,X628,X629))
| X627 = vabs(esk25_3(X627,X628,X629),esk27_3(X627,X628,X629),esk26_3(X627,X628,X629))
| vlookup(esk24_3(X627,X628,X629),X629) = vsomeType(X628)
| ~ vtcheck(X629,X627,X628) )
& ( vtcheck(X629,esk29_3(X627,X628,X629),varrow(esk31_3(X627,X628,X629),X628))
| X627 = vabs(esk25_3(X627,X628,X629),esk27_3(X627,X628,X629),esk26_3(X627,X628,X629))
| vlookup(esk24_3(X627,X628,X629),X629) = vsomeType(X628)
| ~ vtcheck(X629,X627,X628) )
& ( vtcheck(X629,esk30_3(X627,X628,X629),esk31_3(X627,X628,X629))
| X627 = vabs(esk25_3(X627,X628,X629),esk27_3(X627,X628,X629),esk26_3(X627,X628,X629))
| vlookup(esk24_3(X627,X628,X629),X629) = vsomeType(X628)
| ~ vtcheck(X629,X627,X628) )
& ( X627 = vapp(esk29_3(X627,X628,X629),esk30_3(X627,X628,X629))
| X628 = varrow(esk27_3(X627,X628,X629),esk28_3(X627,X628,X629))
| vlookup(esk24_3(X627,X628,X629),X629) = vsomeType(X628)
| ~ vtcheck(X629,X627,X628) )
& ( vtcheck(X629,esk29_3(X627,X628,X629),varrow(esk31_3(X627,X628,X629),X628))
| X628 = varrow(esk27_3(X627,X628,X629),esk28_3(X627,X628,X629))
| vlookup(esk24_3(X627,X628,X629),X629) = vsomeType(X628)
| ~ vtcheck(X629,X627,X628) )
& ( vtcheck(X629,esk30_3(X627,X628,X629),esk31_3(X627,X628,X629))
| X628 = varrow(esk27_3(X627,X628,X629),esk28_3(X627,X628,X629))
| vlookup(esk24_3(X627,X628,X629),X629) = vsomeType(X628)
| ~ vtcheck(X629,X627,X628) )
& ( X627 = vapp(esk29_3(X627,X628,X629),esk30_3(X627,X628,X629))
| vtcheck(vbind(esk25_3(X627,X628,X629),esk27_3(X627,X628,X629),X629),esk26_3(X627,X628,X629),esk28_3(X627,X628,X629))
| vlookup(esk24_3(X627,X628,X629),X629) = vsomeType(X628)
| ~ vtcheck(X629,X627,X628) )
& ( vtcheck(X629,esk29_3(X627,X628,X629),varrow(esk31_3(X627,X628,X629),X628))
| vtcheck(vbind(esk25_3(X627,X628,X629),esk27_3(X627,X628,X629),X629),esk26_3(X627,X628,X629),esk28_3(X627,X628,X629))
| vlookup(esk24_3(X627,X628,X629),X629) = vsomeType(X628)
| ~ vtcheck(X629,X627,X628) )
& ( vtcheck(X629,esk30_3(X627,X628,X629),esk31_3(X627,X628,X629))
| vtcheck(vbind(esk25_3(X627,X628,X629),esk27_3(X627,X628,X629),X629),esk26_3(X627,X628,X629),esk28_3(X627,X628,X629))
| vlookup(esk24_3(X627,X628,X629),X629) = vsomeType(X628)
| ~ vtcheck(X629,X627,X628) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['T-inv'])])])]) ).
cnf(i_0_86,plain,
( X1 = vapp(vabs(esk71_2(X1,X2),esk69_2(X1,X2),esk73_2(X1,X2)),esk72_2(X1,X2))
| X2 = vsomeExp(vapp(vabs(esk65_2(X1,X2),esk66_2(X1,X2),esk67_2(X1,X2)),vgetSomeExp(esk68_2(X1,X2))))
| X2 = vnoExp
| X2 = vnoExp
| ~ epred3_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_66]) ).
fof(i_0_87,plain,
! [X480,X481,X482,X483,X484,X485,X486] :
( X482 = X480
| ~ vtcheck(vbind(X482,X483,vbind(X480,X481,X484)),X485,X486)
| vtcheck(vbind(X480,X481,vbind(X482,X483,X484)),X485,X486) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['T-Context-Swap'])]) ).
cnf(i_0_88,plain,
( X1 = vsomeExp(vsubst(esk71_2(X2,X1),esk72_2(X2,X1),esk73_2(X2,X1)))
| X1 = vsomeExp(vapp(vabs(esk65_2(X2,X1),esk66_2(X2,X1),esk67_2(X2,X1)),vgetSomeExp(esk68_2(X2,X1))))
| X1 = vnoExp
| X1 = vnoExp
| ~ epred3_2(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_66]) ).
fof(i_0_89,plain,
! [X658,X659,X660,X661,X662,X663,X664,X665] :
( X660 != X662
| ~ vtcheck(X659,X661,X658)
| ~ vtcheck(vbind(X660,X658,X659),vabs(X662,X663,X664),X665)
| vtcheck(X659,vsubst(X660,X661,vabs(X662,X663,X664)),X665) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['T-subst-abs-1'])]) ).
fof(i_0_90,plain,
! [X461,X462,X463] :
( ( X461 = esk8_3(X461,X462,X463)
| X461 = esk3_3(X461,X462,X463)
| X461 = esk1_3(X461,X462,X463)
| vlookup(X461,X462) != X463 )
& ( X462 = vbind(esk7_3(X461,X462,X463),esk6_3(X461,X462,X463),esk9_3(X461,X462,X463))
| X461 = esk3_3(X461,X462,X463)
| X461 = esk1_3(X461,X462,X463)
| vlookup(X461,X462) != X463 )
& ( esk8_3(X461,X462,X463) != esk7_3(X461,X462,X463)
| X461 = esk3_3(X461,X462,X463)
| X461 = esk1_3(X461,X462,X463)
| vlookup(X461,X462) != X463 )
& ( X463 = vlookup(esk8_3(X461,X462,X463),esk9_3(X461,X462,X463))
| X461 = esk3_3(X461,X462,X463)
| X461 = esk1_3(X461,X462,X463)
| vlookup(X461,X462) != X463 )
& ( X461 = esk8_3(X461,X462,X463)
| X462 = vbind(esk4_3(X461,X462,X463),esk5_3(X461,X462,X463),esk2_3(X461,X462,X463))
| X461 = esk1_3(X461,X462,X463)
| vlookup(X461,X462) != X463 )
& ( X462 = vbind(esk7_3(X461,X462,X463),esk6_3(X461,X462,X463),esk9_3(X461,X462,X463))
| X462 = vbind(esk4_3(X461,X462,X463),esk5_3(X461,X462,X463),esk2_3(X461,X462,X463))
| X461 = esk1_3(X461,X462,X463)
| vlookup(X461,X462) != X463 )
& ( esk8_3(X461,X462,X463) != esk7_3(X461,X462,X463)
| X462 = vbind(esk4_3(X461,X462,X463),esk5_3(X461,X462,X463),esk2_3(X461,X462,X463))
| X461 = esk1_3(X461,X462,X463)
| vlookup(X461,X462) != X463 )
& ( X463 = vlookup(esk8_3(X461,X462,X463),esk9_3(X461,X462,X463))
| X462 = vbind(esk4_3(X461,X462,X463),esk5_3(X461,X462,X463),esk2_3(X461,X462,X463))
| X461 = esk1_3(X461,X462,X463)
| vlookup(X461,X462) != X463 )
& ( X461 = esk8_3(X461,X462,X463)
| esk3_3(X461,X462,X463) = esk4_3(X461,X462,X463)
| X461 = esk1_3(X461,X462,X463)
| vlookup(X461,X462) != X463 )
& ( X462 = vbind(esk7_3(X461,X462,X463),esk6_3(X461,X462,X463),esk9_3(X461,X462,X463))
| esk3_3(X461,X462,X463) = esk4_3(X461,X462,X463)
| X461 = esk1_3(X461,X462,X463)
| vlookup(X461,X462) != X463 )
& ( esk8_3(X461,X462,X463) != esk7_3(X461,X462,X463)
| esk3_3(X461,X462,X463) = esk4_3(X461,X462,X463)
| X461 = esk1_3(X461,X462,X463)
| vlookup(X461,X462) != X463 )
& ( X463 = vlookup(esk8_3(X461,X462,X463),esk9_3(X461,X462,X463))
| esk3_3(X461,X462,X463) = esk4_3(X461,X462,X463)
| X461 = esk1_3(X461,X462,X463)
| vlookup(X461,X462) != X463 )
& ( X461 = esk8_3(X461,X462,X463)
| X463 = vsomeType(esk5_3(X461,X462,X463))
| X461 = esk1_3(X461,X462,X463)
| vlookup(X461,X462) != X463 )
& ( X462 = vbind(esk7_3(X461,X462,X463),esk6_3(X461,X462,X463),esk9_3(X461,X462,X463))
| X463 = vsomeType(esk5_3(X461,X462,X463))
| X461 = esk1_3(X461,X462,X463)
| vlookup(X461,X462) != X463 )
& ( esk8_3(X461,X462,X463) != esk7_3(X461,X462,X463)
| X463 = vsomeType(esk5_3(X461,X462,X463))
| X461 = esk1_3(X461,X462,X463)
| vlookup(X461,X462) != X463 )
& ( X463 = vlookup(esk8_3(X461,X462,X463),esk9_3(X461,X462,X463))
| X463 = vsomeType(esk5_3(X461,X462,X463))
| X461 = esk1_3(X461,X462,X463)
| vlookup(X461,X462) != X463 )
& ( X461 = esk8_3(X461,X462,X463)
| X461 = esk3_3(X461,X462,X463)
| X462 = vempty
| vlookup(X461,X462) != X463 )
& ( X462 = vbind(esk7_3(X461,X462,X463),esk6_3(X461,X462,X463),esk9_3(X461,X462,X463))
| X461 = esk3_3(X461,X462,X463)
| X462 = vempty
| vlookup(X461,X462) != X463 )
& ( esk8_3(X461,X462,X463) != esk7_3(X461,X462,X463)
| X461 = esk3_3(X461,X462,X463)
| X462 = vempty
| vlookup(X461,X462) != X463 )
& ( X463 = vlookup(esk8_3(X461,X462,X463),esk9_3(X461,X462,X463))
| X461 = esk3_3(X461,X462,X463)
| X462 = vempty
| vlookup(X461,X462) != X463 )
& ( X461 = esk8_3(X461,X462,X463)
| X462 = vbind(esk4_3(X461,X462,X463),esk5_3(X461,X462,X463),esk2_3(X461,X462,X463))
| X462 = vempty
| vlookup(X461,X462) != X463 )
& ( X462 = vbind(esk7_3(X461,X462,X463),esk6_3(X461,X462,X463),esk9_3(X461,X462,X463))
| X462 = vbind(esk4_3(X461,X462,X463),esk5_3(X461,X462,X463),esk2_3(X461,X462,X463))
| X462 = vempty
| vlookup(X461,X462) != X463 )
& ( esk8_3(X461,X462,X463) != esk7_3(X461,X462,X463)
| X462 = vbind(esk4_3(X461,X462,X463),esk5_3(X461,X462,X463),esk2_3(X461,X462,X463))
| X462 = vempty
| vlookup(X461,X462) != X463 )
& ( X463 = vlookup(esk8_3(X461,X462,X463),esk9_3(X461,X462,X463))
| X462 = vbind(esk4_3(X461,X462,X463),esk5_3(X461,X462,X463),esk2_3(X461,X462,X463))
| X462 = vempty
| vlookup(X461,X462) != X463 )
& ( X461 = esk8_3(X461,X462,X463)
| esk3_3(X461,X462,X463) = esk4_3(X461,X462,X463)
| X462 = vempty
| vlookup(X461,X462) != X463 )
& ( X462 = vbind(esk7_3(X461,X462,X463),esk6_3(X461,X462,X463),esk9_3(X461,X462,X463))
| esk3_3(X461,X462,X463) = esk4_3(X461,X462,X463)
| X462 = vempty
| vlookup(X461,X462) != X463 )
& ( esk8_3(X461,X462,X463) != esk7_3(X461,X462,X463)
| esk3_3(X461,X462,X463) = esk4_3(X461,X462,X463)
| X462 = vempty
| vlookup(X461,X462) != X463 )
& ( X463 = vlookup(esk8_3(X461,X462,X463),esk9_3(X461,X462,X463))
| esk3_3(X461,X462,X463) = esk4_3(X461,X462,X463)
| X462 = vempty
| vlookup(X461,X462) != X463 )
& ( X461 = esk8_3(X461,X462,X463)
| X463 = vsomeType(esk5_3(X461,X462,X463))
| X462 = vempty
| vlookup(X461,X462) != X463 )
& ( X462 = vbind(esk7_3(X461,X462,X463),esk6_3(X461,X462,X463),esk9_3(X461,X462,X463))
| X463 = vsomeType(esk5_3(X461,X462,X463))
| X462 = vempty
| vlookup(X461,X462) != X463 )
& ( esk8_3(X461,X462,X463) != esk7_3(X461,X462,X463)
| X463 = vsomeType(esk5_3(X461,X462,X463))
| X462 = vempty
| vlookup(X461,X462) != X463 )
& ( X463 = vlookup(esk8_3(X461,X462,X463),esk9_3(X461,X462,X463))
| X463 = vsomeType(esk5_3(X461,X462,X463))
| X462 = vempty
| vlookup(X461,X462) != X463 )
& ( X461 = esk8_3(X461,X462,X463)
| X461 = esk3_3(X461,X462,X463)
| X463 = vnoType
| vlookup(X461,X462) != X463 )
& ( X462 = vbind(esk7_3(X461,X462,X463),esk6_3(X461,X462,X463),esk9_3(X461,X462,X463))
| X461 = esk3_3(X461,X462,X463)
| X463 = vnoType
| vlookup(X461,X462) != X463 )
& ( esk8_3(X461,X462,X463) != esk7_3(X461,X462,X463)
| X461 = esk3_3(X461,X462,X463)
| X463 = vnoType
| vlookup(X461,X462) != X463 )
& ( X463 = vlookup(esk8_3(X461,X462,X463),esk9_3(X461,X462,X463))
| X461 = esk3_3(X461,X462,X463)
| X463 = vnoType
| vlookup(X461,X462) != X463 )
& ( X461 = esk8_3(X461,X462,X463)
| X462 = vbind(esk4_3(X461,X462,X463),esk5_3(X461,X462,X463),esk2_3(X461,X462,X463))
| X463 = vnoType
| vlookup(X461,X462) != X463 )
& ( X462 = vbind(esk7_3(X461,X462,X463),esk6_3(X461,X462,X463),esk9_3(X461,X462,X463))
| X462 = vbind(esk4_3(X461,X462,X463),esk5_3(X461,X462,X463),esk2_3(X461,X462,X463))
| X463 = vnoType
| vlookup(X461,X462) != X463 )
& ( esk8_3(X461,X462,X463) != esk7_3(X461,X462,X463)
| X462 = vbind(esk4_3(X461,X462,X463),esk5_3(X461,X462,X463),esk2_3(X461,X462,X463))
| X463 = vnoType
| vlookup(X461,X462) != X463 )
& ( X463 = vlookup(esk8_3(X461,X462,X463),esk9_3(X461,X462,X463))
| X462 = vbind(esk4_3(X461,X462,X463),esk5_3(X461,X462,X463),esk2_3(X461,X462,X463))
| X463 = vnoType
| vlookup(X461,X462) != X463 )
& ( X461 = esk8_3(X461,X462,X463)
| esk3_3(X461,X462,X463) = esk4_3(X461,X462,X463)
| X463 = vnoType
| vlookup(X461,X462) != X463 )
& ( X462 = vbind(esk7_3(X461,X462,X463),esk6_3(X461,X462,X463),esk9_3(X461,X462,X463))
| esk3_3(X461,X462,X463) = esk4_3(X461,X462,X463)
| X463 = vnoType
| vlookup(X461,X462) != X463 )
& ( esk8_3(X461,X462,X463) != esk7_3(X461,X462,X463)
| esk3_3(X461,X462,X463) = esk4_3(X461,X462,X463)
| X463 = vnoType
| vlookup(X461,X462) != X463 )
& ( X463 = vlookup(esk8_3(X461,X462,X463),esk9_3(X461,X462,X463))
| esk3_3(X461,X462,X463) = esk4_3(X461,X462,X463)
| X463 = vnoType
| vlookup(X461,X462) != X463 )
& ( X461 = esk8_3(X461,X462,X463)
| X463 = vsomeType(esk5_3(X461,X462,X463))
| X463 = vnoType
| vlookup(X461,X462) != X463 )
& ( X462 = vbind(esk7_3(X461,X462,X463),esk6_3(X461,X462,X463),esk9_3(X461,X462,X463))
| X463 = vsomeType(esk5_3(X461,X462,X463))
| X463 = vnoType
| vlookup(X461,X462) != X463 )
& ( esk8_3(X461,X462,X463) != esk7_3(X461,X462,X463)
| X463 = vsomeType(esk5_3(X461,X462,X463))
| X463 = vnoType
| vlookup(X461,X462) != X463 )
& ( X463 = vlookup(esk8_3(X461,X462,X463),esk9_3(X461,X462,X463))
| X463 = vsomeType(esk5_3(X461,X462,X463))
| X463 = vnoType
| vlookup(X461,X462) != X463 ) ),
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_91,plain,
! [X520,X521,X522,X523,X524,X525,X526,X527,X528,X529] :
( X520 != X524
| X521 != X525
| X522 != vabs(X527,X526,X529)
| X524 = X527
| ~ visFreeVar(X527,X525)
| X528 != vgensym(vapp(vapp(X525,X529),vvar(X524)))
| X523 != vsubst(X520,X521,X522)
| X523 = vsubst(X524,X525,vabs(X528,X526,vsubst(X527,vvar(X528),X529))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[subst4])]) ).
fof(i_0_92,plain,
! [X473,X474,X475,X476,X477,X478,X479] :
( X475 != X473
| ~ vtcheck(vbind(X475,X476,vbind(X473,X474,X477)),X478,X479)
| vtcheck(vbind(X475,X476,X477),X478,X479) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['T-Context-Duplicate'])]) ).
cnf(i_0_93,plain,
( X2 = vsomeExp(vapp(vabs(esk65_2(X1,X2),esk66_2(X1,X2),esk67_2(X1,X2)),vgetSomeExp(esk68_2(X1,X2))))
| X2 = vnoExp
| X2 = vnoExp
| ~ visSomeExp(esk70_2(X1,X2))
| ~ epred3_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_66]) ).
cnf(i_0_94,plain,
( esk70_2(X1,X2) = vreduce(esk72_2(X1,X2))
| X2 = vsomeExp(vapp(vabs(esk65_2(X1,X2),esk66_2(X1,X2),esk67_2(X1,X2)),vgetSomeExp(esk68_2(X1,X2))))
| X2 = vnoExp
| X2 = vnoExp
| ~ epred3_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_66]) ).
cnf(i_0_95,plain,
( visValue(esk72_2(X1,X2))
| X2 = vsomeExp(vapp(vabs(esk65_2(X1,X2),esk66_2(X1,X2),esk67_2(X1,X2)),vgetSomeExp(esk68_2(X1,X2))))
| X2 = vnoExp
| X2 = vnoExp
| ~ epred3_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_66]) ).
cnf(i_0_96,plain,
( X1 = vapp(vabs(esk71_2(X1,X2),esk69_2(X1,X2),esk73_2(X1,X2)),esk72_2(X1,X2))
| X1 = vapp(vabs(esk65_2(X1,X2),esk66_2(X1,X2),esk67_2(X1,X2)),esk64_2(X1,X2))
| X2 = vnoExp
| X2 = vnoExp
| ~ epred3_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_66]) ).
cnf(i_0_97,plain,
( X1 = vsomeExp(vsubst(esk71_2(X2,X1),esk72_2(X2,X1),esk73_2(X2,X1)))
| X2 = vapp(vabs(esk65_2(X2,X1),esk66_2(X2,X1),esk67_2(X2,X1)),esk64_2(X2,X1))
| X1 = vnoExp
| X1 = vnoExp
| ~ epred3_2(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_66]) ).
fof(i_0_98,negated_conjecture,
( esk34_0 != esk36_0
& ~ visFreeVar(esk36_0,esk35_0)
& vtcheck(esk33_0,esk35_0,esk32_0)
& vtcheck(vbind(esk34_0,esk32_0,esk33_0),vabs(esk36_0,esk37_0,veabs),esk38_0)
& ~ vtcheck(esk33_0,vsubst(esk34_0,esk35_0,vabs(esk36_0,esk37_0,veabs)),esk38_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_67])])]) ).
fof(i_0_99,plain,
! [X718,X719,X728,X729,X730] :
( ( X718 = vapp(esk79_2(X718,X719),esk81_2(X718,X719))
| X718 = vapp(vabs(esk74_2(X718,X719),esk75_2(X718,X719),esk76_2(X718,X719)),esk78_2(X718,X719))
| epred3_2(X719,X718)
| ~ epred4_2(X719,X718) )
& ( esk79_2(X718,X719) != vabs(X728,X729,X730)
| X718 = vapp(vabs(esk74_2(X718,X719),esk75_2(X718,X719),esk76_2(X718,X719)),esk78_2(X718,X719))
| epred3_2(X719,X718)
| ~ epred4_2(X719,X718) )
& ( esk80_2(X718,X719) = vreduce(esk79_2(X718,X719))
| X718 = vapp(vabs(esk74_2(X718,X719),esk75_2(X718,X719),esk76_2(X718,X719)),esk78_2(X718,X719))
| epred3_2(X719,X718)
| ~ epred4_2(X719,X718) )
& ( visSomeExp(esk80_2(X718,X719))
| X718 = vapp(vabs(esk74_2(X718,X719),esk75_2(X718,X719),esk76_2(X718,X719)),esk78_2(X718,X719))
| epred3_2(X719,X718)
| ~ epred4_2(X719,X718) )
& ( X719 = vsomeExp(vapp(vgetSomeExp(esk80_2(X718,X719)),esk81_2(X718,X719)))
| X718 = vapp(vabs(esk74_2(X718,X719),esk75_2(X718,X719),esk76_2(X718,X719)),esk78_2(X718,X719))
| epred3_2(X719,X718)
| ~ epred4_2(X719,X718) )
& ( X718 = vapp(esk79_2(X718,X719),esk81_2(X718,X719))
| esk77_2(X718,X719) = vreduce(esk78_2(X718,X719))
| epred3_2(X719,X718)
| ~ epred4_2(X719,X718) )
& ( esk79_2(X718,X719) != vabs(X728,X729,X730)
| esk77_2(X718,X719) = vreduce(esk78_2(X718,X719))
| epred3_2(X719,X718)
| ~ epred4_2(X719,X718) )
& ( esk80_2(X718,X719) = vreduce(esk79_2(X718,X719))
| esk77_2(X718,X719) = vreduce(esk78_2(X718,X719))
| epred3_2(X719,X718)
| ~ epred4_2(X719,X718) )
& ( visSomeExp(esk80_2(X718,X719))
| esk77_2(X718,X719) = vreduce(esk78_2(X718,X719))
| epred3_2(X719,X718)
| ~ epred4_2(X719,X718) )
& ( X719 = vsomeExp(vapp(vgetSomeExp(esk80_2(X718,X719)),esk81_2(X718,X719)))
| esk77_2(X718,X719) = vreduce(esk78_2(X718,X719))
| epred3_2(X719,X718)
| ~ epred4_2(X719,X718) )
& ( X718 = vapp(esk79_2(X718,X719),esk81_2(X718,X719))
| ~ visSomeExp(esk77_2(X718,X719))
| epred3_2(X719,X718)
| ~ epred4_2(X719,X718) )
& ( esk79_2(X718,X719) != vabs(X728,X729,X730)
| ~ visSomeExp(esk77_2(X718,X719))
| epred3_2(X719,X718)
| ~ epred4_2(X719,X718) )
& ( esk80_2(X718,X719) = vreduce(esk79_2(X718,X719))
| ~ visSomeExp(esk77_2(X718,X719))
| epred3_2(X719,X718)
| ~ epred4_2(X719,X718) )
& ( visSomeExp(esk80_2(X718,X719))
| ~ visSomeExp(esk77_2(X718,X719))
| epred3_2(X719,X718)
| ~ epred4_2(X719,X718) )
& ( X719 = vsomeExp(vapp(vgetSomeExp(esk80_2(X718,X719)),esk81_2(X718,X719)))
| ~ visSomeExp(esk77_2(X718,X719))
| epred3_2(X719,X718)
| ~ epred4_2(X719,X718) )
& ( X718 = vapp(esk79_2(X718,X719),esk81_2(X718,X719))
| ~ visValue(esk78_2(X718,X719))
| epred3_2(X719,X718)
| ~ epred4_2(X719,X718) )
& ( esk79_2(X718,X719) != vabs(X728,X729,X730)
| ~ visValue(esk78_2(X718,X719))
| epred3_2(X719,X718)
| ~ epred4_2(X719,X718) )
& ( esk80_2(X718,X719) = vreduce(esk79_2(X718,X719))
| ~ visValue(esk78_2(X718,X719))
| epred3_2(X719,X718)
| ~ epred4_2(X719,X718) )
& ( visSomeExp(esk80_2(X718,X719))
| ~ visValue(esk78_2(X718,X719))
| epred3_2(X719,X718)
| ~ epred4_2(X719,X718) )
& ( X719 = vsomeExp(vapp(vgetSomeExp(esk80_2(X718,X719)),esk81_2(X718,X719)))
| ~ visValue(esk78_2(X718,X719))
| epred3_2(X719,X718)
| ~ epred4_2(X719,X718) )
& ( X718 = vapp(esk79_2(X718,X719),esk81_2(X718,X719))
| X719 = vnoExp
| epred3_2(X719,X718)
| ~ epred4_2(X719,X718) )
& ( esk79_2(X718,X719) != vabs(X728,X729,X730)
| X719 = vnoExp
| epred3_2(X719,X718)
| ~ epred4_2(X719,X718) )
& ( esk80_2(X718,X719) = vreduce(esk79_2(X718,X719))
| X719 = vnoExp
| epred3_2(X719,X718)
| ~ epred4_2(X719,X718) )
& ( visSomeExp(esk80_2(X718,X719))
| X719 = vnoExp
| epred3_2(X719,X718)
| ~ epred4_2(X719,X718) )
& ( X719 = vsomeExp(vapp(vgetSomeExp(esk80_2(X718,X719)),esk81_2(X718,X719)))
| X719 = vnoExp
| epred3_2(X719,X718)
| ~ epred4_2(X719,X718) ) ),
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_68])])])])])]) ).
fof(i_0_100,plain,
! [X653,X654,X655,X656,X657] :
( ~ vtcheck(X654,X656,X653)
| ~ vtcheck(vbind(X655,X653,X654),veabs,X657)
| vtcheck(X654,vsubst(X655,X656,veabs),X657) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['T-subst-IH-abs'])]) ).
fof(i_0_101,plain,
! [X565,X566,X567,X568,X569,X570,X571] :
( X566 != vapp(vabs(X568,X569,X570),X565)
| X571 != vreduce(X565)
| ~ visSomeExp(X571)
| X567 != vreduce(X566)
| X567 = vsomeExp(vapp(vabs(X568,X569,X570),vgetSomeExp(X571))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[reduce2])]) ).
fof(i_0_102,plain,
! [X617,X618,X619,X620,X621] :
( ~ vtcheck(vbind(X618,X620,X617),X619,X621)
| vtcheck(X617,vabs(X618,X620,X619),varrow(X620,X621)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['T-abs'])]) ).
cnf(i_0_103,plain,
( X1 = vapp(vabs(esk65_2(X1,X2),esk66_2(X1,X2),esk67_2(X1,X2)),esk64_2(X1,X2))
| X2 = vnoExp
| X2 = vnoExp
| ~ visSomeExp(esk70_2(X1,X2))
| ~ epred3_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_66]) ).
cnf(i_0_104,plain,
( esk70_2(X1,X2) = vreduce(esk72_2(X1,X2))
| X1 = vapp(vabs(esk65_2(X1,X2),esk66_2(X1,X2),esk67_2(X1,X2)),esk64_2(X1,X2))
| X2 = vnoExp
| X2 = vnoExp
| ~ epred3_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_66]) ).
cnf(i_0_105,plain,
( X1 = vapp(vabs(esk71_2(X1,X2),esk69_2(X1,X2),esk73_2(X1,X2)),esk72_2(X1,X2))
| esk68_2(X1,X2) = vreduce(esk64_2(X1,X2))
| X2 = vnoExp
| X2 = vnoExp
| ~ epred3_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_66]) ).
fof(i_0_106,plain,
! [X530,X531,X532,X533,X534,X535,X536,X537,X538] :
( X530 != X536
| X531 != X537
| X532 != vabs(X534,X535,X538)
| X536 = X534
| visFreeVar(X534,X537)
| X533 != vsubst(X530,X531,X532)
| X533 = vabs(X534,X535,vsubst(X536,X537,X538)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_69])]) ).
cnf(i_0_107,plain,
( X1 = vapp(vabs(esk71_2(X1,X2),esk69_2(X1,X2),esk73_2(X1,X2)),esk72_2(X1,X2))
| visSomeExp(esk68_2(X1,X2))
| X2 = vnoExp
| X2 = vnoExp
| ~ epred3_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_66]) ).
cnf(i_0_108,plain,
( visValue(esk72_2(X1,X2))
| X1 = vapp(vabs(esk65_2(X1,X2),esk66_2(X1,X2),esk67_2(X1,X2)),esk64_2(X1,X2))
| X2 = vnoExp
| X2 = vnoExp
| ~ epred3_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_66]) ).
fof(i_0_109,plain,
! [X503,X504,X505,X506,X507,X508,X509,X510] :
( X503 != X508
| X504 != X509
| X505 != vapp(X507,X510)
| X506 != vsubst(X503,X504,X505)
| X506 = vapp(vsubst(X508,X509,X507),vsubst(X508,X509,X510)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[subst2])]) ).
cnf(i_0_110,plain,
( X1 = vsomeExp(vsubst(esk71_2(X2,X1),esk72_2(X2,X1),esk73_2(X2,X1)))
| esk68_2(X2,X1) = vreduce(esk64_2(X2,X1))
| X1 = vnoExp
| X1 = vnoExp
| ~ epred3_2(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_66]) ).
fof(i_0_111,plain,
! [X572,X573,X574,X575,X576,X577,X578] :
( X574 != vapp(vabs(X576,X572,X578),X577)
| X573 != vreduce(X577)
| visSomeExp(X573)
| ~ visValue(X577)
| X575 != vreduce(X574)
| X575 = vsomeExp(vsubst(X576,X577,X578)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_70])]) ).
fof(i_0_112,plain,
! [X643,X644,X645,X646,X647] :
( visFreeVar(X643,X646)
| ~ vtcheck(vbind(X643,X644,X645),X646,X647)
| vtcheck(X645,X646,X647) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_71])]) ).
cnf(i_0_113,plain,
( X1 = vsomeExp(vsubst(esk71_2(X2,X1),esk72_2(X2,X1),esk73_2(X2,X1)))
| visSomeExp(esk68_2(X2,X1))
| X1 = vnoExp
| X1 = vnoExp
| ~ epred3_2(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_66]) ).
fof(i_0_114,plain,
! [X622,X623,X624,X625,X626] :
( ~ vtcheck(X623,X624,varrow(X622,X626))
| ~ vtcheck(X623,X625,X622)
| vtcheck(X623,vapp(X624,X625),X626) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['T-app'])]) ).
fof(i_0_115,plain,
! [X638,X639,X640,X641,X642] :
( vlookup(X638,X640) != vnoType
| ~ vtcheck(X640,X641,X642)
| vtcheck(vbind(X638,X639,X640),X641,X642) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['T-Weak'])]) ).
fof(i_0_116,plain,
! [X648,X649,X650,X651,X652] :
( visFreeVar(X648,X651)
| ~ vtcheck(X650,X651,X652)
| vtcheck(vbind(X648,X649,X650),X651,X652) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_72])]) ).
fof(i_0_117,plain,
! [X511,X512,X513,X514,X515,X516,X517,X518,X519] :
( X513 != X512
| X514 != X511
| X515 != vabs(X517,X518,X519)
| X512 != X517
| X516 != vsubst(X513,X514,X515)
| X516 = vabs(X517,X518,X519) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[subst3])]) ).
fof(i_0_118,plain,
! [X579,X580,X581,X582,X583,X584,X585] :
( X584 != vapp(vabs(X579,X580,X581),X583)
| X582 != vreduce(X583)
| visSomeExp(X582)
| visValue(X583)
| X585 != vreduce(X584)
| X585 = vnoExp ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_73])]) ).
fof(i_0_119,plain,
! [X425,X426,X427,X428,X429,X430] :
( ( X425 = X428
| vbind(X425,X426,X427) != vbind(X428,X429,X430) )
& ( X426 = X429
| vbind(X425,X426,X427) != vbind(X428,X429,X430) )
& ( X427 = X430
| vbind(X425,X426,X427) != vbind(X428,X429,X430) )
& ( X425 != X428
| X426 != X429
| X427 != X430
| vbind(X425,X426,X427) = vbind(X428,X429,X430) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['EQ-bind'])])]) ).
fof(i_0_120,plain,
! [X379,X380,X381,X382,X383,X384] :
( ( X379 = X382
| vabs(X379,X380,X381) != vabs(X382,X383,X384) )
& ( X380 = X383
| vabs(X379,X380,X381) != vabs(X382,X383,X384) )
& ( X381 = X384
| vabs(X379,X380,X381) != vabs(X382,X383,X384) )
& ( X379 != X382
| X380 != X383
| X381 != X384
| vabs(X379,X380,X381) = vabs(X382,X383,X384) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['EQ-abs'])])]) ).
fof(i_0_121,plain,
! [X454,X455,X456,X457,X458,X459,X460] :
( X456 != X459
| X457 != vbind(X455,X454,X460)
| X459 = X455
| X458 != vlookup(X456,X457)
| X458 = vlookup(X459,X460) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[lookup2])]) ).
fof(i_0_122,plain,
! [X602,X603,X607,X608,X609] :
( ( X602 = vapp(esk22_2(X602,X603),esk21_2(X602,X603))
| epred4_2(X603,X602)
| vreduce(X602) != X603 )
& ( esk22_2(X602,X603) != vabs(X607,X608,X609)
| epred4_2(X603,X602)
| vreduce(X602) != X603 )
& ( esk23_2(X602,X603) = vreduce(esk22_2(X602,X603))
| epred4_2(X603,X602)
| vreduce(X602) != X603 )
& ( ~ visSomeExp(esk23_2(X602,X603))
| epred4_2(X603,X602)
| vreduce(X602) != X603 )
& ( X603 = vnoExp
| epred4_2(X603,X602)
| vreduce(X602) != X603 ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_74])])])])])]) ).
fof(i_0_123,plain,
! [X414,X415,X416,X417,X418,X419] :
( ( X417 = X418
| ~ visFreeVar(X418,X419)
| visFreeVar(X415,X416)
| X415 != X418
| X416 != vabs(X417,X414,X419) )
& ( X417 != X418
| ~ visFreeVar(X415,X416)
| X415 != X418
| X416 != vabs(X417,X414,X419) )
& ( visFreeVar(X418,X419)
| ~ visFreeVar(X415,X416)
| X415 != X418
| X416 != vabs(X417,X414,X419) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[isFreeVar1])])]) ).
fof(i_0_124,plain,
! [X447,X448,X449,X450,X451,X452,X453] :
( X450 != X448
| X451 != vbind(X449,X453,X447)
| X448 != X449
| X452 != vlookup(X450,X451)
| X452 = vsomeType(X453) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[lookup1])]) ).
cnf(i_0_125,plain,
( esk68_2(X1,X2) = vreduce(esk64_2(X1,X2))
| X2 = vnoExp
| X2 = vnoExp
| ~ visSomeExp(esk70_2(X1,X2))
| ~ epred3_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_66]) ).
cnf(i_0_126,plain,
( esk70_2(X1,X2) = vreduce(esk72_2(X1,X2))
| esk68_2(X1,X2) = vreduce(esk64_2(X1,X2))
| X2 = vnoExp
| X2 = vnoExp
| ~ epred3_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_66]) ).
fof(i_0_127,plain,
! [X496,X497,X498,X499,X500,X501,X502] :
( X498 != X497
| X499 != X496
| X500 != vvar(X502)
| X497 = X502
| X501 != vsubst(X498,X499,X500)
| X501 = vvar(X502) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[subst1])]) ).
fof(i_0_128,plain,
! [X489,X490,X491,X492,X493,X494,X495] :
( X491 != X489
| X492 != X495
| X493 != vvar(X490)
| X489 != X490
| X494 != vsubst(X491,X492,X493)
| X494 = X495 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[subst0])]) ).
fof(i_0_129,plain,
! [X396,X397,X398,X399,X400] : vabs(X396,X397,X398) != vapp(X399,X400),
inference(variable_rename,[status(thm)],['DIFF-abs-app']) ).
cnf(i_0_130,plain,
( visSomeExp(esk68_2(X1,X2))
| X2 = vnoExp
| X2 = vnoExp
| ~ visSomeExp(esk70_2(X1,X2))
| ~ epred3_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_66]) ).
cnf(i_0_131,plain,
( esk70_2(X1,X2) = vreduce(esk72_2(X1,X2))
| visSomeExp(esk68_2(X1,X2))
| X2 = vnoExp
| X2 = vnoExp
| ~ epred3_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_66]) ).
cnf(i_0_132,plain,
( visValue(esk72_2(X1,X2))
| esk68_2(X1,X2) = vreduce(esk64_2(X1,X2))
| X2 = vnoExp
| X2 = vnoExp
| ~ epred3_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_66]) ).
fof(i_0_133,plain,
! [X560,X561,X562,X563,X564] :
( X563 != vabs(X560,X561,X562)
| X564 != vreduce(X563)
| X564 = vnoExp ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[reduce1])]) ).
fof(i_0_134,plain,
! [X389,X390,X391,X392] : vvar(X389) != vabs(X390,X391,X392),
inference(variable_rename,[status(thm)],['DIFF-var-abs']) ).
fof(i_0_135,plain,
! [X401,X402,X403,X404] :
( X404 != vabs(X401,X402,X403)
| visValue(X404) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[isValue0])]) ).
fof(i_0_136,plain,
! [X614,X615,X616] :
( vlookup(X615,X614) != vsomeType(X616)
| vtcheck(X614,vvar(X615),X616) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['T-var'])]) ).
fof(i_0_137,plain,
! [X433,X434,X435] : vempty != vbind(X433,X434,X435),
inference(variable_rename,[status(thm)],['DIFF-empty-bind']) ).
cnf(i_0_138,plain,
( visValue(esk72_2(X1,X2))
| visSomeExp(esk68_2(X1,X2))
| X2 = vnoExp
| X2 = vnoExp
| ~ epred3_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_66]) ).
fof(i_0_139,plain,
! [X420,X421,X422,X423,X424] :
( ( ~ visFreeVar(X423,X422)
| visFreeVar(X420,X421)
| X420 != X423
| X421 != vapp(X422,X424) )
& ( ~ visFreeVar(X423,X424)
| visFreeVar(X420,X421)
| X420 != X423
| X421 != vapp(X422,X424) )
& ( ~ visFreeVar(X420,X421)
| visFreeVar(X423,X422)
| visFreeVar(X423,X424)
| X420 != X423
| X421 != vapp(X422,X424) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[isFreeVar2])])]) ).
fof(i_0_140,plain,
! [X610,X611,X612,X613] :
( ( X610 = X612
| varrow(X610,X611) != varrow(X612,X613) )
& ( X611 = X613
| varrow(X610,X611) != varrow(X612,X613) )
& ( X610 != X612
| X611 != X613
| varrow(X610,X611) = varrow(X612,X613) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['EQ-arrow'])])]) ).
fof(i_0_141,plain,
! [X385,X386,X387,X388] :
( ( X385 = X387
| vapp(X385,X386) != vapp(X387,X388) )
& ( X386 = X388
| vapp(X385,X386) != vapp(X387,X388) )
& ( X385 != X387
| X386 != X388
| vapp(X385,X386) = vapp(X387,X388) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['EQ-app'])])]) ).
fof(i_0_142,plain,
! [X410,X411,X412,X413] :
( ( X412 != X413
| visFreeVar(X410,X411)
| X410 != X413
| X411 != vvar(X412) )
& ( ~ visFreeVar(X410,X411)
| X412 = X413
| X410 != X413
| X411 != vvar(X412) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[isFreeVar0])])]) ).
fof(i_0_143,plain,
! [X443,X444,X445,X446] :
( X444 != X443
| X445 != vempty
| X446 != vlookup(X444,X445)
| X446 = vnoType ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[lookup0])]) ).
fof(i_0_144,plain,
! [X407,X408,X409] :
( X409 != vapp(X407,X408)
| ~ visValue(X409) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_75])]) ).
fof(i_0_145,plain,
! [X487,X488] :
( vgensym(X488) != X487
| ~ visFreeVar(X487,X488) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_76])]) ).
fof(i_0_146,plain,
! [X393,X394,X395] : vvar(X393) != vapp(X394,X395),
inference(variable_rename,[status(thm)],['DIFF-var-app']) ).
fof(i_0_147,plain,
! [X554,X555,X556] :
( X554 != vsomeExp(X556)
| X555 != vgetSomeExp(X554)
| X555 = X556 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[getSomeExp0])]) ).
fof(i_0_148,plain,
! [X440,X441,X442] :
( X440 != vsomeType(X442)
| X441 != vgetSomeType(X440)
| X441 = X442 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[getSomeType0])]) ).
fof(i_0_149,plain,
! [X557,X558,X559] :
( X558 != vvar(X557)
| X559 != vreduce(X558)
| X559 = vnoExp ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[reduce0])]) ).
fof(i_0_150,plain,
! [X405,X406] :
( X406 != vvar(X405)
| ~ visValue(X406) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_77])]) ).
fof(i_0_151,plain,
! [X548,X549] :
( ( vsomeExp(X548) != vsomeExp(X549)
| X548 = X549 )
& ( X548 != X549
| vsomeExp(X548) = vsomeExp(X549) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['EQ-someExp'])]) ).
fof(i_0_152,plain,
! [X431,X432] :
( ( vsomeType(X431) != vsomeType(X432)
| X431 = X432 )
& ( X431 != X432
| vsomeType(X431) = vsomeType(X432) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['EQ-someType'])]) ).
fof(i_0_153,plain,
! [X377,X378] :
( ( vvar(X377) != vvar(X378)
| X377 = X378 )
& ( X377 != X378
| vvar(X377) = vvar(X378) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['EQ-var'])]) ).
fof(i_0_154,plain,
! [X552,X553] :
( X553 != vsomeExp(X552)
| visSomeExp(X553) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[isSomeExp1])]) ).
fof(i_0_155,plain,
! [X438,X439] :
( X439 != vsomeType(X438)
| visSomeType(X439) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[isSomeType1])]) ).
fof(i_0_156,plain,
! [X551] :
( X551 != vnoExp
| ~ visSomeExp(X551) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_78])]) ).
fof(i_0_157,plain,
! [X437] :
( X437 != vnoType
| ~ visSomeType(X437) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_79])]) ).
fof(i_0_158,plain,
! [X550] : vnoExp != vsomeExp(X550),
inference(variable_rename,[status(thm)],['DIFF-noExp-someExp']) ).
fof(i_0_159,plain,
! [X436] : vnoType != vsomeType(X436),
inference(variable_rename,[status(thm)],['DIFF-noType-someType']) ).
cnf(i_0_160,plain,
( X1 = vsubst(esk54_4(X2,X3,X4,X1),esk55_4(X2,X3,X4,X1),vabs(esk58_4(X2,X3,X4,X1),esk56_4(X2,X3,X4,X1),vsubst(esk57_4(X2,X3,X4,X1),vvar(esk58_4(X2,X3,X4,X1)),esk59_4(X2,X3,X4,X1))))
| X1 = vabs(esk51_4(X2,X3,X4,X1),esk52_4(X2,X3,X4,X1),esk53_4(X2,X3,X4,X1))
| X1 = vapp(vsubst(esk46_4(X2,X3,X4,X1),esk47_4(X2,X3,X4,X1),esk45_4(X2,X3,X4,X1)),vsubst(esk46_4(X2,X3,X4,X1),esk47_4(X2,X3,X4,X1),esk48_4(X2,X3,X4,X1)))
| epred1_4(X1,X4,X3,X2)
| ~ epred2_4(X1,X4,X3,X2) ),
inference(split_conjunct,[status(thm)],[i_0_80]),
[final] ).
cnf(i_0_161,plain,
( X1 = vsubst(esk54_4(X2,X3,X4,X1),esk55_4(X2,X3,X4,X1),vabs(esk58_4(X2,X3,X4,X1),esk56_4(X2,X3,X4,X1),vsubst(esk57_4(X2,X3,X4,X1),vvar(esk58_4(X2,X3,X4,X1)),esk59_4(X2,X3,X4,X1))))
| X4 = vabs(esk51_4(X2,X3,X4,X1),esk52_4(X2,X3,X4,X1),esk53_4(X2,X3,X4,X1))
| X1 = vapp(vsubst(esk46_4(X2,X3,X4,X1),esk47_4(X2,X3,X4,X1),esk45_4(X2,X3,X4,X1)),vsubst(esk46_4(X2,X3,X4,X1),esk47_4(X2,X3,X4,X1),esk48_4(X2,X3,X4,X1)))
| epred1_4(X1,X4,X3,X2)
| ~ epred2_4(X1,X4,X3,X2) ),
inference(split_conjunct,[status(thm)],[i_0_80]),
[final] ).
cnf(i_0_162,plain,
( X1 = vsubst(esk54_4(X2,X3,X4,X1),esk55_4(X2,X3,X4,X1),vabs(esk58_4(X2,X3,X4,X1),esk56_4(X2,X3,X4,X1),vsubst(esk57_4(X2,X3,X4,X1),vvar(esk58_4(X2,X3,X4,X1)),esk59_4(X2,X3,X4,X1))))
| esk50_4(X2,X3,X4,X1) = esk51_4(X2,X3,X4,X1)
| X1 = vapp(vsubst(esk46_4(X2,X3,X4,X1),esk47_4(X2,X3,X4,X1),esk45_4(X2,X3,X4,X1)),vsubst(esk46_4(X2,X3,X4,X1),esk47_4(X2,X3,X4,X1),esk48_4(X2,X3,X4,X1)))
| epred1_4(X1,X4,X3,X2)
| ~ epred2_4(X1,X4,X3,X2) ),
inference(split_conjunct,[status(thm)],[i_0_80]),
[final] ).
cnf(i_0_163,plain,
( X1 = vsubst(esk54_4(X2,X3,X4,X1),esk55_4(X2,X3,X4,X1),vabs(esk58_4(X2,X3,X4,X1),esk56_4(X2,X3,X4,X1),vsubst(esk57_4(X2,X3,X4,X1),vvar(esk58_4(X2,X3,X4,X1)),esk59_4(X2,X3,X4,X1))))
| X2 = esk50_4(X2,X3,X4,X1)
| X1 = vapp(vsubst(esk46_4(X2,X3,X4,X1),esk47_4(X2,X3,X4,X1),esk45_4(X2,X3,X4,X1)),vsubst(esk46_4(X2,X3,X4,X1),esk47_4(X2,X3,X4,X1),esk48_4(X2,X3,X4,X1)))
| epred1_4(X1,X4,X3,X2)
| ~ epred2_4(X1,X4,X3,X2) ),
inference(split_conjunct,[status(thm)],[i_0_80]),
[final] ).
cnf(i_0_164,plain,
( X1 = vsubst(esk54_4(X2,X3,X4,X1),esk55_4(X2,X3,X4,X1),vabs(esk58_4(X2,X3,X4,X1),esk56_4(X2,X3,X4,X1),vsubst(esk57_4(X2,X3,X4,X1),vvar(esk58_4(X2,X3,X4,X1)),esk59_4(X2,X3,X4,X1))))
| X3 = esk49_4(X2,X3,X4,X1)
| X1 = vapp(vsubst(esk46_4(X2,X3,X4,X1),esk47_4(X2,X3,X4,X1),esk45_4(X2,X3,X4,X1)),vsubst(esk46_4(X2,X3,X4,X1),esk47_4(X2,X3,X4,X1),esk48_4(X2,X3,X4,X1)))
| epred1_4(X1,X4,X3,X2)
| ~ epred2_4(X1,X4,X3,X2) ),
inference(split_conjunct,[status(thm)],[i_0_80]),
[final] ).
cnf(i_0_165,plain,
( esk58_4(X1,X2,X3,X4) = vgensym(vapp(vapp(esk55_4(X1,X2,X3,X4),esk59_4(X1,X2,X3,X4)),vvar(esk54_4(X1,X2,X3,X4))))
| X3 = vabs(esk51_4(X1,X2,X3,X4),esk52_4(X1,X2,X3,X4),esk53_4(X1,X2,X3,X4))
| X4 = vapp(vsubst(esk46_4(X1,X2,X3,X4),esk47_4(X1,X2,X3,X4),esk45_4(X1,X2,X3,X4)),vsubst(esk46_4(X1,X2,X3,X4),esk47_4(X1,X2,X3,X4),esk48_4(X1,X2,X3,X4)))
| epred1_4(X4,X3,X2,X1)
| ~ epred2_4(X4,X3,X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_80]),
[final] ).
cnf(i_0_166,plain,
( esk58_4(X1,X2,X3,X4) = vgensym(vapp(vapp(esk55_4(X1,X2,X3,X4),esk59_4(X1,X2,X3,X4)),vvar(esk54_4(X1,X2,X3,X4))))
| X4 = vabs(esk51_4(X1,X2,X3,X4),esk52_4(X1,X2,X3,X4),esk53_4(X1,X2,X3,X4))
| X4 = vapp(vsubst(esk46_4(X1,X2,X3,X4),esk47_4(X1,X2,X3,X4),esk45_4(X1,X2,X3,X4)),vsubst(esk46_4(X1,X2,X3,X4),esk47_4(X1,X2,X3,X4),esk48_4(X1,X2,X3,X4)))
| epred1_4(X4,X3,X2,X1)
| ~ epred2_4(X4,X3,X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_80]),
[final] ).
cnf(i_0_167,plain,
( X1 = vsubst(esk54_4(X2,X3,X4,X1),esk55_4(X2,X3,X4,X1),vabs(esk58_4(X2,X3,X4,X1),esk56_4(X2,X3,X4,X1),vsubst(esk57_4(X2,X3,X4,X1),vvar(esk58_4(X2,X3,X4,X1)),esk59_4(X2,X3,X4,X1))))
| X1 = vabs(esk51_4(X2,X3,X4,X1),esk52_4(X2,X3,X4,X1),esk53_4(X2,X3,X4,X1))
| X4 = vapp(esk45_4(X2,X3,X4,X1),esk48_4(X2,X3,X4,X1))
| epred1_4(X1,X4,X3,X2)
| ~ epred2_4(X1,X4,X3,X2) ),
inference(split_conjunct,[status(thm)],[i_0_80]),
[final] ).
cnf(i_0_168,plain,
( X1 = vsubst(esk54_4(X2,X3,X4,X1),esk55_4(X2,X3,X4,X1),vabs(esk58_4(X2,X3,X4,X1),esk56_4(X2,X3,X4,X1),vsubst(esk57_4(X2,X3,X4,X1),vvar(esk58_4(X2,X3,X4,X1)),esk59_4(X2,X3,X4,X1))))
| X4 = vabs(esk51_4(X2,X3,X4,X1),esk52_4(X2,X3,X4,X1),esk53_4(X2,X3,X4,X1))
| X4 = vapp(esk45_4(X2,X3,X4,X1),esk48_4(X2,X3,X4,X1))
| epred1_4(X1,X4,X3,X2)
| ~ epred2_4(X1,X4,X3,X2) ),
inference(split_conjunct,[status(thm)],[i_0_80]),
[final] ).
cnf(i_0_169,plain,
( X1 = vsubst(esk54_4(X2,X3,X4,X1),esk55_4(X2,X3,X4,X1),vabs(esk58_4(X2,X3,X4,X1),esk56_4(X2,X3,X4,X1),vsubst(esk57_4(X2,X3,X4,X1),vvar(esk58_4(X2,X3,X4,X1)),esk59_4(X2,X3,X4,X1))))
| X1 = vabs(esk51_4(X2,X3,X4,X1),esk52_4(X2,X3,X4,X1),esk53_4(X2,X3,X4,X1))
| X2 = 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_80]),
[final] ).
cnf(i_0_170,plain,
( X1 = vsubst(esk54_4(X2,X3,X4,X1),esk55_4(X2,X3,X4,X1),vabs(esk58_4(X2,X3,X4,X1),esk56_4(X2,X3,X4,X1),vsubst(esk57_4(X2,X3,X4,X1),vvar(esk58_4(X2,X3,X4,X1)),esk59_4(X2,X3,X4,X1))))
| X4 = vabs(esk51_4(X2,X3,X4,X1),esk52_4(X2,X3,X4,X1),esk53_4(X2,X3,X4,X1))
| X2 = 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_80]),
[final] ).
cnf(i_0_171,plain,
( X1 = vsubst(esk54_4(X2,X3,X4,X1),esk55_4(X2,X3,X4,X1),vabs(esk58_4(X2,X3,X4,X1),esk56_4(X2,X3,X4,X1),vsubst(esk57_4(X2,X3,X4,X1),vvar(esk58_4(X2,X3,X4,X1)),esk59_4(X2,X3,X4,X1))))
| X1 = vabs(esk51_4(X2,X3,X4,X1),esk52_4(X2,X3,X4,X1),esk53_4(X2,X3,X4,X1))
| X3 = 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_80]),
[final] ).
cnf(i_0_172,plain,
( X1 = vsubst(esk54_4(X2,X3,X4,X1),esk55_4(X2,X3,X4,X1),vabs(esk58_4(X2,X3,X4,X1),esk56_4(X2,X3,X4,X1),vsubst(esk57_4(X2,X3,X4,X1),vvar(esk58_4(X2,X3,X4,X1)),esk59_4(X2,X3,X4,X1))))
| X4 = vabs(esk51_4(X2,X3,X4,X1),esk52_4(X2,X3,X4,X1),esk53_4(X2,X3,X4,X1))
| X3 = 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_80]),
[final] ).
cnf(i_0_173,plain,
( esk58_4(X1,X2,X3,X4) = vgensym(vapp(vapp(esk55_4(X1,X2,X3,X4),esk59_4(X1,X2,X3,X4)),vvar(esk54_4(X1,X2,X3,X4))))
| esk50_4(X1,X2,X3,X4) = esk51_4(X1,X2,X3,X4)
| X4 = vapp(vsubst(esk46_4(X1,X2,X3,X4),esk47_4(X1,X2,X3,X4),esk45_4(X1,X2,X3,X4)),vsubst(esk46_4(X1,X2,X3,X4),esk47_4(X1,X2,X3,X4),esk48_4(X1,X2,X3,X4)))
| epred1_4(X4,X3,X2,X1)
| ~ epred2_4(X4,X3,X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_80]),
[final] ).
cnf(i_0_174,plain,
( X1 = vsubst(esk54_4(X2,X3,X4,X1),esk55_4(X2,X3,X4,X1),vabs(esk58_4(X2,X3,X4,X1),esk56_4(X2,X3,X4,X1),vsubst(esk57_4(X2,X3,X4,X1),vvar(esk58_4(X2,X3,X4,X1)),esk59_4(X2,X3,X4,X1))))
| esk50_4(X2,X3,X4,X1) = esk51_4(X2,X3,X4,X1)
| X4 = vapp(esk45_4(X2,X3,X4,X1),esk48_4(X2,X3,X4,X1))
| epred1_4(X1,X4,X3,X2)
| ~ epred2_4(X1,X4,X3,X2) ),
inference(split_conjunct,[status(thm)],[i_0_80]),
[final] ).
cnf(i_0_175,plain,
( esk58_4(X1,X2,X3,X4) = vgensym(vapp(vapp(esk55_4(X1,X2,X3,X4),esk59_4(X1,X2,X3,X4)),vvar(esk54_4(X1,X2,X3,X4))))
| X1 = esk50_4(X1,X2,X3,X4)
| X4 = vapp(vsubst(esk46_4(X1,X2,X3,X4),esk47_4(X1,X2,X3,X4),esk45_4(X1,X2,X3,X4)),vsubst(esk46_4(X1,X2,X3,X4),esk47_4(X1,X2,X3,X4),esk48_4(X1,X2,X3,X4)))
| epred1_4(X4,X3,X2,X1)
| ~ epred2_4(X4,X3,X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_80]),
[final] ).
cnf(i_0_176,plain,
( esk58_4(X1,X2,X3,X4) = vgensym(vapp(vapp(esk55_4(X1,X2,X3,X4),esk59_4(X1,X2,X3,X4)),vvar(esk54_4(X1,X2,X3,X4))))
| X2 = esk49_4(X1,X2,X3,X4)
| X4 = vapp(vsubst(esk46_4(X1,X2,X3,X4),esk47_4(X1,X2,X3,X4),esk45_4(X1,X2,X3,X4)),vsubst(esk46_4(X1,X2,X3,X4),esk47_4(X1,X2,X3,X4),esk48_4(X1,X2,X3,X4)))
| epred1_4(X4,X3,X2,X1)
| ~ epred2_4(X4,X3,X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_80]),
[final] ).
cnf(i_0_177,plain,
( X1 = vsubst(esk54_4(X2,X3,X4,X1),esk55_4(X2,X3,X4,X1),vabs(esk58_4(X2,X3,X4,X1),esk56_4(X2,X3,X4,X1),vsubst(esk57_4(X2,X3,X4,X1),vvar(esk58_4(X2,X3,X4,X1)),esk59_4(X2,X3,X4,X1))))
| X2 = esk50_4(X2,X3,X4,X1)
| X4 = vapp(esk45_4(X2,X3,X4,X1),esk48_4(X2,X3,X4,X1))
| epred1_4(X1,X4,X3,X2)
| ~ epred2_4(X1,X4,X3,X2) ),
inference(split_conjunct,[status(thm)],[i_0_80]),
[final] ).
cnf(i_0_178,plain,
( X1 = vsubst(esk54_4(X2,X3,X4,X1),esk55_4(X2,X3,X4,X1),vabs(esk58_4(X2,X3,X4,X1),esk56_4(X2,X3,X4,X1),vsubst(esk57_4(X2,X3,X4,X1),vvar(esk58_4(X2,X3,X4,X1)),esk59_4(X2,X3,X4,X1))))
| X3 = esk49_4(X2,X3,X4,X1)
| X4 = vapp(esk45_4(X2,X3,X4,X1),esk48_4(X2,X3,X4,X1))
| epred1_4(X1,X4,X3,X2)
| ~ epred2_4(X1,X4,X3,X2) ),
inference(split_conjunct,[status(thm)],[i_0_80]),
[final] ).
cnf(i_0_179,plain,
( X1 = vsubst(esk54_4(X2,X3,X4,X1),esk55_4(X2,X3,X4,X1),vabs(esk58_4(X2,X3,X4,X1),esk56_4(X2,X3,X4,X1),vsubst(esk57_4(X2,X3,X4,X1),vvar(esk58_4(X2,X3,X4,X1)),esk59_4(X2,X3,X4,X1))))
| esk50_4(X2,X3,X4,X1) = esk51_4(X2,X3,X4,X1)
| X2 = 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_80]),
[final] ).
cnf(i_0_180,plain,
( X1 = vsubst(esk54_4(X2,X3,X4,X1),esk55_4(X2,X3,X4,X1),vabs(esk58_4(X2,X3,X4,X1),esk56_4(X2,X3,X4,X1),vsubst(esk57_4(X2,X3,X4,X1),vvar(esk58_4(X2,X3,X4,X1)),esk59_4(X2,X3,X4,X1))))
| esk50_4(X2,X3,X4,X1) = esk51_4(X2,X3,X4,X1)
| X3 = 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_80]),
[final] ).
cnf(i_0_181,plain,
( X1 = vsubst(esk54_4(X2,X3,X4,X1),esk55_4(X2,X3,X4,X1),vabs(esk58_4(X2,X3,X4,X1),esk56_4(X2,X3,X4,X1),vsubst(esk57_4(X2,X3,X4,X1),vvar(esk58_4(X2,X3,X4,X1)),esk59_4(X2,X3,X4,X1))))
| X2 = esk50_4(X2,X3,X4,X1)
| X2 = 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_80]),
[final] ).
cnf(i_0_182,plain,
( X1 = vsubst(esk54_4(X2,X3,X4,X1),esk55_4(X2,X3,X4,X1),vabs(esk58_4(X2,X3,X4,X1),esk56_4(X2,X3,X4,X1),vsubst(esk57_4(X2,X3,X4,X1),vvar(esk58_4(X2,X3,X4,X1)),esk59_4(X2,X3,X4,X1))))
| X3 = esk49_4(X2,X3,X4,X1)
| X2 = 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_80]),
[final] ).
cnf(i_0_183,plain,
( X1 = vsubst(esk54_4(X2,X3,X4,X1),esk55_4(X2,X3,X4,X1),vabs(esk58_4(X2,X3,X4,X1),esk56_4(X2,X3,X4,X1),vsubst(esk57_4(X2,X3,X4,X1),vvar(esk58_4(X2,X3,X4,X1)),esk59_4(X2,X3,X4,X1))))
| X2 = esk50_4(X2,X3,X4,X1)
| X3 = 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_80]),
[final] ).
cnf(i_0_184,plain,
( X1 = vsubst(esk54_4(X2,X3,X4,X1),esk55_4(X2,X3,X4,X1),vabs(esk58_4(X2,X3,X4,X1),esk56_4(X2,X3,X4,X1),vsubst(esk57_4(X2,X3,X4,X1),vvar(esk58_4(X2,X3,X4,X1)),esk59_4(X2,X3,X4,X1))))
| X3 = esk49_4(X2,X3,X4,X1)
| X3 = 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_80]),
[final] ).
cnf(i_0_185,plain,
( X1 = vabs(esk57_4(X2,X3,X1,X4),esk56_4(X2,X3,X1,X4),esk59_4(X2,X3,X1,X4))
| X1 = vabs(esk51_4(X2,X3,X1,X4),esk52_4(X2,X3,X1,X4),esk53_4(X2,X3,X1,X4))
| X4 = vapp(vsubst(esk46_4(X2,X3,X1,X4),esk47_4(X2,X3,X1,X4),esk45_4(X2,X3,X1,X4)),vsubst(esk46_4(X2,X3,X1,X4),esk47_4(X2,X3,X1,X4),esk48_4(X2,X3,X1,X4)))
| epred1_4(X4,X1,X3,X2)
| ~ epred2_4(X4,X1,X3,X2) ),
inference(split_conjunct,[status(thm)],[i_0_80]),
[final] ).
cnf(i_0_186,plain,
( X1 = vabs(esk57_4(X2,X3,X1,X4),esk56_4(X2,X3,X1,X4),esk59_4(X2,X3,X1,X4))
| X4 = vabs(esk51_4(X2,X3,X1,X4),esk52_4(X2,X3,X1,X4),esk53_4(X2,X3,X1,X4))
| X4 = vapp(vsubst(esk46_4(X2,X3,X1,X4),esk47_4(X2,X3,X1,X4),esk45_4(X2,X3,X1,X4)),vsubst(esk46_4(X2,X3,X1,X4),esk47_4(X2,X3,X1,X4),esk48_4(X2,X3,X1,X4)))
| epred1_4(X4,X1,X3,X2)
| ~ epred2_4(X4,X1,X3,X2) ),
inference(split_conjunct,[status(thm)],[i_0_80]),
[final] ).
cnf(i_0_187,plain,
( esk58_4(X1,X2,X3,X4) = vgensym(vapp(vapp(esk55_4(X1,X2,X3,X4),esk59_4(X1,X2,X3,X4)),vvar(esk54_4(X1,X2,X3,X4))))
| X3 = vabs(esk51_4(X1,X2,X3,X4),esk52_4(X1,X2,X3,X4),esk53_4(X1,X2,X3,X4))
| X3 = vapp(esk45_4(X1,X2,X3,X4),esk48_4(X1,X2,X3,X4))
| epred1_4(X4,X3,X2,X1)
| ~ epred2_4(X4,X3,X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_80]),
[final] ).
cnf(i_0_188,plain,
( esk58_4(X1,X2,X3,X4) = vgensym(vapp(vapp(esk55_4(X1,X2,X3,X4),esk59_4(X1,X2,X3,X4)),vvar(esk54_4(X1,X2,X3,X4))))
| X4 = vabs(esk51_4(X1,X2,X3,X4),esk52_4(X1,X2,X3,X4),esk53_4(X1,X2,X3,X4))
| X3 = vapp(esk45_4(X1,X2,X3,X4),esk48_4(X1,X2,X3,X4))
| epred1_4(X4,X3,X2,X1)
| ~ epred2_4(X4,X3,X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_80]),
[final] ).
cnf(i_0_189,plain,
( visFreeVar(esk57_4(X1,X2,X3,X4),esk55_4(X1,X2,X3,X4))
| X3 = vabs(esk51_4(X1,X2,X3,X4),esk52_4(X1,X2,X3,X4),esk53_4(X1,X2,X3,X4))
| X4 = vapp(vsubst(esk46_4(X1,X2,X3,X4),esk47_4(X1,X2,X3,X4),esk45_4(X1,X2,X3,X4)),vsubst(esk46_4(X1,X2,X3,X4),esk47_4(X1,X2,X3,X4),esk48_4(X1,X2,X3,X4)))
| epred1_4(X4,X3,X2,X1)
| ~ epred2_4(X4,X3,X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_80]),
[final] ).
cnf(i_0_190,plain,
( visFreeVar(esk57_4(X1,X2,X3,X4),esk55_4(X1,X2,X3,X4))
| X4 = vabs(esk51_4(X1,X2,X3,X4),esk52_4(X1,X2,X3,X4),esk53_4(X1,X2,X3,X4))
| X4 = vapp(vsubst(esk46_4(X1,X2,X3,X4),esk47_4(X1,X2,X3,X4),esk45_4(X1,X2,X3,X4)),vsubst(esk46_4(X1,X2,X3,X4),esk47_4(X1,X2,X3,X4),esk48_4(X1,X2,X3,X4)))
| epred1_4(X4,X3,X2,X1)
| ~ epred2_4(X4,X3,X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_80]),
[final] ).
cnf(i_0_191,plain,
( X3 = vabs(esk51_4(X1,X2,X3,X4),esk52_4(X1,X2,X3,X4),esk53_4(X1,X2,X3,X4))
| X4 = vapp(vsubst(esk46_4(X1,X2,X3,X4),esk47_4(X1,X2,X3,X4),esk45_4(X1,X2,X3,X4)),vsubst(esk46_4(X1,X2,X3,X4),esk47_4(X1,X2,X3,X4),esk48_4(X1,X2,X3,X4)))
| epred1_4(X4,X3,X2,X1)
| esk54_4(X1,X2,X3,X4) != esk57_4(X1,X2,X3,X4)
| ~ epred2_4(X4,X3,X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_80]),
[final] ).
cnf(i_0_192,plain,
( X4 = vabs(esk51_4(X1,X2,X3,X4),esk52_4(X1,X2,X3,X4),esk53_4(X1,X2,X3,X4))
| X4 = vapp(vsubst(esk46_4(X1,X2,X3,X4),esk47_4(X1,X2,X3,X4),esk45_4(X1,X2,X3,X4)),vsubst(esk46_4(X1,X2,X3,X4),esk47_4(X1,X2,X3,X4),esk48_4(X1,X2,X3,X4)))
| epred1_4(X4,X3,X2,X1)
| esk54_4(X1,X2,X3,X4) != esk57_4(X1,X2,X3,X4)
| ~ epred2_4(X4,X3,X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_80]),
[final] ).
cnf(i_0_193,plain,
( X1 = vabs(esk57_4(X2,X3,X1,X4),esk56_4(X2,X3,X1,X4),esk59_4(X2,X3,X1,X4))
| esk50_4(X2,X3,X1,X4) = esk51_4(X2,X3,X1,X4)
| X4 = vapp(vsubst(esk46_4(X2,X3,X1,X4),esk47_4(X2,X3,X1,X4),esk45_4(X2,X3,X1,X4)),vsubst(esk46_4(X2,X3,X1,X4),esk47_4(X2,X3,X1,X4),esk48_4(X2,X3,X1,X4)))
| epred1_4(X4,X1,X3,X2)
| ~ epred2_4(X4,X1,X3,X2) ),
inference(split_conjunct,[status(thm)],[i_0_80]),
[final] ).
cnf(i_0_194,plain,
( esk58_4(X1,X2,X3,X4) = vgensym(vapp(vapp(esk55_4(X1,X2,X3,X4),esk59_4(X1,X2,X3,X4)),vvar(esk54_4(X1,X2,X3,X4))))
| X3 = vabs(esk51_4(X1,X2,X3,X4),esk52_4(X1,X2,X3,X4),esk53_4(X1,X2,X3,X4))
| X1 = 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_80]),
[final] ).
cnf(i_0_195,plain,
( esk58_4(X1,X2,X3,X4) = vgensym(vapp(vapp(esk55_4(X1,X2,X3,X4),esk59_4(X1,X2,X3,X4)),vvar(esk54_4(X1,X2,X3,X4))))
| X4 = vabs(esk51_4(X1,X2,X3,X4),esk52_4(X1,X2,X3,X4),esk53_4(X1,X2,X3,X4))
| X1 = 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_80]),
[final] ).
cnf(i_0_196,plain,
( esk58_4(X1,X2,X3,X4) = vgensym(vapp(vapp(esk55_4(X1,X2,X3,X4),esk59_4(X1,X2,X3,X4)),vvar(esk54_4(X1,X2,X3,X4))))
| X3 = vabs(esk51_4(X1,X2,X3,X4),esk52_4(X1,X2,X3,X4),esk53_4(X1,X2,X3,X4))
| X2 = 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_80]),
[final] ).
cnf(i_0_197,plain,
( esk58_4(X1,X2,X3,X4) = vgensym(vapp(vapp(esk55_4(X1,X2,X3,X4),esk59_4(X1,X2,X3,X4)),vvar(esk54_4(X1,X2,X3,X4))))
| X4 = vabs(esk51_4(X1,X2,X3,X4),esk52_4(X1,X2,X3,X4),esk53_4(X1,X2,X3,X4))
| X2 = 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_80]),
[final] ).
cnf(i_0_198,plain,
( X1 = esk55_4(X2,X1,X3,X4)
| X3 = vabs(esk51_4(X2,X1,X3,X4),esk52_4(X2,X1,X3,X4),esk53_4(X2,X1,X3,X4))
| X4 = vapp(vsubst(esk46_4(X2,X1,X3,X4),esk47_4(X2,X1,X3,X4),esk45_4(X2,X1,X3,X4)),vsubst(esk46_4(X2,X1,X3,X4),esk47_4(X2,X1,X3,X4),esk48_4(X2,X1,X3,X4)))
| epred1_4(X4,X3,X1,X2)
| ~ epred2_4(X4,X3,X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_80]),
[final] ).
cnf(i_0_199,plain,
( X1 = esk55_4(X2,X1,X3,X4)
| X4 = vabs(esk51_4(X2,X1,X3,X4),esk52_4(X2,X1,X3,X4),esk53_4(X2,X1,X3,X4))
| X4 = vapp(vsubst(esk46_4(X2,X1,X3,X4),esk47_4(X2,X1,X3,X4),esk45_4(X2,X1,X3,X4)),vsubst(esk46_4(X2,X1,X3,X4),esk47_4(X2,X1,X3,X4),esk48_4(X2,X1,X3,X4)))
| epred1_4(X4,X3,X1,X2)
| ~ epred2_4(X4,X3,X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_80]),
[final] ).
cnf(i_0_200,plain,
( X1 = esk54_4(X1,X2,X3,X4)
| X3 = vabs(esk51_4(X1,X2,X3,X4),esk52_4(X1,X2,X3,X4),esk53_4(X1,X2,X3,X4))
| X4 = vapp(vsubst(esk46_4(X1,X2,X3,X4),esk47_4(X1,X2,X3,X4),esk45_4(X1,X2,X3,X4)),vsubst(esk46_4(X1,X2,X3,X4),esk47_4(X1,X2,X3,X4),esk48_4(X1,X2,X3,X4)))
| epred1_4(X4,X3,X2,X1)
| ~ epred2_4(X4,X3,X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_80]),
[final] ).
cnf(i_0_201,plain,
( X1 = esk54_4(X1,X2,X3,X4)
| X4 = vabs(esk51_4(X1,X2,X3,X4),esk52_4(X1,X2,X3,X4),esk53_4(X1,X2,X3,X4))
| X4 = vapp(vsubst(esk46_4(X1,X2,X3,X4),esk47_4(X1,X2,X3,X4),esk45_4(X1,X2,X3,X4)),vsubst(esk46_4(X1,X2,X3,X4),esk47_4(X1,X2,X3,X4),esk48_4(X1,X2,X3,X4)))
| epred1_4(X4,X3,X2,X1)
| ~ epred2_4(X4,X3,X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_80]),
[final] ).
cnf(i_0_202,plain,
( X1 = vabs(esk57_4(X2,X3,X1,X4),esk56_4(X2,X3,X1,X4),esk59_4(X2,X3,X1,X4))
| X2 = esk50_4(X2,X3,X1,X4)
| X4 = vapp(vsubst(esk46_4(X2,X3,X1,X4),esk47_4(X2,X3,X1,X4),esk45_4(X2,X3,X1,X4)),vsubst(esk46_4(X2,X3,X1,X4),esk47_4(X2,X3,X1,X4),esk48_4(X2,X3,X1,X4)))
| epred1_4(X4,X1,X3,X2)
| ~ epred2_4(X4,X1,X3,X2) ),
inference(split_conjunct,[status(thm)],[i_0_80]),
[final] ).
cnf(i_0_203,plain,
( X1 = vabs(esk57_4(X2,X3,X1,X4),esk56_4(X2,X3,X1,X4),esk59_4(X2,X3,X1,X4))
| X3 = esk49_4(X2,X3,X1,X4)
| X4 = vapp(vsubst(esk46_4(X2,X3,X1,X4),esk47_4(X2,X3,X1,X4),esk45_4(X2,X3,X1,X4)),vsubst(esk46_4(X2,X3,X1,X4),esk47_4(X2,X3,X1,X4),esk48_4(X2,X3,X1,X4)))
| epred1_4(X4,X1,X3,X2)
| ~ epred2_4(X4,X1,X3,X2) ),
inference(split_conjunct,[status(thm)],[i_0_80]),
[final] ).
cnf(i_0_204,plain,
( esk58_4(X1,X2,X3,X4) = vgensym(vapp(vapp(esk55_4(X1,X2,X3,X4),esk59_4(X1,X2,X3,X4)),vvar(esk54_4(X1,X2,X3,X4))))
| esk50_4(X1,X2,X3,X4) = esk51_4(X1,X2,X3,X4)
| X3 = vapp(esk45_4(X1,X2,X3,X4),esk48_4(X1,X2,X3,X4))
| epred1_4(X4,X3,X2,X1)
| ~ epred2_4(X4,X3,X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_80]),
[final] ).
cnf(i_0_205,plain,
( visFreeVar(esk57_4(X1,X2,X3,X4),esk55_4(X1,X2,X3,X4))
| esk50_4(X1,X2,X3,X4) = esk51_4(X1,X2,X3,X4)
| X4 = vapp(vsubst(esk46_4(X1,X2,X3,X4),esk47_4(X1,X2,X3,X4),esk45_4(X1,X2,X3,X4)),vsubst(esk46_4(X1,X2,X3,X4),esk47_4(X1,X2,X3,X4),esk48_4(X1,X2,X3,X4)))
| epred1_4(X4,X3,X2,X1)
| ~ epred2_4(X4,X3,X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_80]),
[final] ).
cnf(i_0_206,plain,
( esk58_4(X1,X2,X3,X4) = vgensym(vapp(vapp(esk55_4(X1,X2,X3,X4),esk59_4(X1,X2,X3,X4)),vvar(esk54_4(X1,X2,X3,X4))))
| X1 = esk50_4(X1,X2,X3,X4)
| X3 = vapp(esk45_4(X1,X2,X3,X4),esk48_4(X1,X2,X3,X4))
| epred1_4(X4,X3,X2,X1)
| ~ epred2_4(X4,X3,X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_80]),
[final] ).
cnf(i_0_207,plain,
( esk58_4(X1,X2,X3,X4) = vgensym(vapp(vapp(esk55_4(X1,X2,X3,X4),esk59_4(X1,X2,X3,X4)),vvar(esk54_4(X1,X2,X3,X4))))
| X2 = esk49_4(X1,X2,X3,X4)
| X3 = vapp(esk45_4(X1,X2,X3,X4),esk48_4(X1,X2,X3,X4))
| epred1_4(X4,X3,X2,X1)
| ~ epred2_4(X4,X3,X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_80]),
[final] ).
cnf(i_0_208,plain,
( esk50_4(X1,X2,X3,X4) = esk51_4(X1,X2,X3,X4)
| X4 = vapp(vsubst(esk46_4(X1,X2,X3,X4),esk47_4(X1,X2,X3,X4),esk45_4(X1,X2,X3,X4)),vsubst(esk46_4(X1,X2,X3,X4),esk47_4(X1,X2,X3,X4),esk48_4(X1,X2,X3,X4)))
| epred1_4(X4,X3,X2,X1)
| esk54_4(X1,X2,X3,X4) != esk57_4(X1,X2,X3,X4)
| ~ epred2_4(X4,X3,X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_80]),
[final] ).
cnf(i_0_209,plain,
( visFreeVar(esk57_4(X1,X2,X3,X4),esk55_4(X1,X2,X3,X4))
| X1 = esk50_4(X1,X2,X3,X4)
| X4 = vapp(vsubst(esk46_4(X1,X2,X3,X4),esk47_4(X1,X2,X3,X4),esk45_4(X1,X2,X3,X4)),vsubst(esk46_4(X1,X2,X3,X4),esk47_4(X1,X2,X3,X4),esk48_4(X1,X2,X3,X4)))
| epred1_4(X4,X3,X2,X1)
| ~ epred2_4(X4,X3,X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_80]),
[final] ).
cnf(i_0_210,plain,
( visFreeVar(esk57_4(X1,X2,X3,X4),esk55_4(X1,X2,X3,X4))
| X2 = esk49_4(X1,X2,X3,X4)
| X4 = vapp(vsubst(esk46_4(X1,X2,X3,X4),esk47_4(X1,X2,X3,X4),esk45_4(X1,X2,X3,X4)),vsubst(esk46_4(X1,X2,X3,X4),esk47_4(X1,X2,X3,X4),esk48_4(X1,X2,X3,X4)))
| epred1_4(X4,X3,X2,X1)
| ~ epred2_4(X4,X3,X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_80]),
[final] ).
cnf(i_0_211,plain,
( X1 = esk50_4(X1,X2,X3,X4)
| X4 = vapp(vsubst(esk46_4(X1,X2,X3,X4),esk47_4(X1,X2,X3,X4),esk45_4(X1,X2,X3,X4)),vsubst(esk46_4(X1,X2,X3,X4),esk47_4(X1,X2,X3,X4),esk48_4(X1,X2,X3,X4)))
| epred1_4(X4,X3,X2,X1)
| esk54_4(X1,X2,X3,X4) != esk57_4(X1,X2,X3,X4)
| ~ epred2_4(X4,X3,X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_80]),
[final] ).
cnf(i_0_212,plain,
( X2 = esk49_4(X1,X2,X3,X4)
| X4 = vapp(vsubst(esk46_4(X1,X2,X3,X4),esk47_4(X1,X2,X3,X4),esk45_4(X1,X2,X3,X4)),vsubst(esk46_4(X1,X2,X3,X4),esk47_4(X1,X2,X3,X4),esk48_4(X1,X2,X3,X4)))
| epred1_4(X4,X3,X2,X1)
| esk54_4(X1,X2,X3,X4) != esk57_4(X1,X2,X3,X4)
| ~ epred2_4(X4,X3,X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_80]),
[final] ).
cnf(i_0_213,plain,
( esk58_4(X1,X2,X3,X4) = vgensym(vapp(vapp(esk55_4(X1,X2,X3,X4),esk59_4(X1,X2,X3,X4)),vvar(esk54_4(X1,X2,X3,X4))))
| esk50_4(X1,X2,X3,X4) = esk51_4(X1,X2,X3,X4)
| X1 = 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_80]),
[final] ).
cnf(i_0_214,plain,
( esk58_4(X1,X2,X3,X4) = vgensym(vapp(vapp(esk55_4(X1,X2,X3,X4),esk59_4(X1,X2,X3,X4)),vvar(esk54_4(X1,X2,X3,X4))))
| esk50_4(X1,X2,X3,X4) = esk51_4(X1,X2,X3,X4)
| X2 = 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_80]),
[final] ).
cnf(i_0_215,plain,
( X1 = esk55_4(X2,X1,X3,X4)
| esk50_4(X2,X1,X3,X4) = esk51_4(X2,X1,X3,X4)
| X4 = vapp(vsubst(esk46_4(X2,X1,X3,X4),esk47_4(X2,X1,X3,X4),esk45_4(X2,X1,X3,X4)),vsubst(esk46_4(X2,X1,X3,X4),esk47_4(X2,X1,X3,X4),esk48_4(X2,X1,X3,X4)))
| epred1_4(X4,X3,X1,X2)
| ~ epred2_4(X4,X3,X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_80]),
[final] ).
cnf(i_0_216,plain,
( X1 = esk54_4(X1,X2,X3,X4)
| esk50_4(X1,X2,X3,X4) = esk51_4(X1,X2,X3,X4)
| X4 = vapp(vsubst(esk46_4(X1,X2,X3,X4),esk47_4(X1,X2,X3,X4),esk45_4(X1,X2,X3,X4)),vsubst(esk46_4(X1,X2,X3,X4),esk47_4(X1,X2,X3,X4),esk48_4(X1,X2,X3,X4)))
| epred1_4(X4,X3,X2,X1)
| ~ epred2_4(X4,X3,X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_80]),
[final] ).
cnf(i_0_217,plain,
( esk58_4(X1,X2,X3,X4) = vgensym(vapp(vapp(esk55_4(X1,X2,X3,X4),esk59_4(X1,X2,X3,X4)),vvar(esk54_4(X1,X2,X3,X4))))
| X1 = esk50_4(X1,X2,X3,X4)
| X1 = 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_80]),
[final] ).
cnf(i_0_218,plain,
( esk58_4(X1,X2,X3,X4) = vgensym(vapp(vapp(esk55_4(X1,X2,X3,X4),esk59_4(X1,X2,X3,X4)),vvar(esk54_4(X1,X2,X3,X4))))
| X2 = esk49_4(X1,X2,X3,X4)
| X1 = 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_80]),
[final] ).
cnf(i_0_219,plain,
( esk58_4(X1,X2,X3,X4) = vgensym(vapp(vapp(esk55_4(X1,X2,X3,X4),esk59_4(X1,X2,X3,X4)),vvar(esk54_4(X1,X2,X3,X4))))
| X1 = esk50_4(X1,X2,X3,X4)
| X2 = 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_80]),
[final] ).
cnf(i_0_220,plain,
( esk58_4(X1,X2,X3,X4) = vgensym(vapp(vapp(esk55_4(X1,X2,X3,X4),esk59_4(X1,X2,X3,X4)),vvar(esk54_4(X1,X2,X3,X4))))
| X2 = esk49_4(X1,X2,X3,X4)
| X2 = 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_80]),
[final] ).
cnf(i_0_221,plain,
( X2 = vabs(esk15_5(X2,X1,X4,X5,X3),esk16_5(X2,X1,X4,X5,X3),esk17_5(X2,X1,X4,X5,X3))
| X4 = vsomeExp(vapp(vgetSomeExp(X5),X3))
| X1 != vapp(X2,X3)
| X5 != vreduce(X2)
| ~ visSomeExp(X5)
| X4 != vreduce(X1) ),
inference(split_conjunct,[status(thm)],[i_0_81]),
[final] ).
cnf(i_0_222,plain,
( X1 = esk54_4(X1,X2,X3,X4)
| X1 = esk50_4(X1,X2,X3,X4)
| X4 = vapp(vsubst(esk46_4(X1,X2,X3,X4),esk47_4(X1,X2,X3,X4),esk45_4(X1,X2,X3,X4)),vsubst(esk46_4(X1,X2,X3,X4),esk47_4(X1,X2,X3,X4),esk48_4(X1,X2,X3,X4)))
| epred1_4(X4,X3,X2,X1)
| ~ epred2_4(X4,X3,X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_80]),
[final] ).
cnf(i_0_223,plain,
( X1 = esk55_4(X2,X1,X3,X4)
| X1 = esk49_4(X2,X1,X3,X4)
| X4 = vapp(vsubst(esk46_4(X2,X1,X3,X4),esk47_4(X2,X1,X3,X4),esk45_4(X2,X1,X3,X4)),vsubst(esk46_4(X2,X1,X3,X4),esk47_4(X2,X1,X3,X4),esk48_4(X2,X1,X3,X4)))
| epred1_4(X4,X3,X1,X2)
| ~ epred2_4(X4,X3,X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_80]),
[final] ).
cnf(i_0_224,plain,
( X1 = esk55_4(X2,X1,X3,X4)
| X2 = esk50_4(X2,X1,X3,X4)
| X4 = vapp(vsubst(esk46_4(X2,X1,X3,X4),esk47_4(X2,X1,X3,X4),esk45_4(X2,X1,X3,X4)),vsubst(esk46_4(X2,X1,X3,X4),esk47_4(X2,X1,X3,X4),esk48_4(X2,X1,X3,X4)))
| epred1_4(X4,X3,X1,X2)
| ~ epred2_4(X4,X3,X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_80]),
[final] ).
cnf(i_0_225,plain,
( X1 = esk54_4(X1,X2,X3,X4)
| X2 = esk49_4(X1,X2,X3,X4)
| X4 = vapp(vsubst(esk46_4(X1,X2,X3,X4),esk47_4(X1,X2,X3,X4),esk45_4(X1,X2,X3,X4)),vsubst(esk46_4(X1,X2,X3,X4),esk47_4(X1,X2,X3,X4),esk48_4(X1,X2,X3,X4)))
| epred1_4(X4,X3,X2,X1)
| ~ epred2_4(X4,X3,X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_80]),
[final] ).
cnf(i_0_226,plain,
( X1 = vabs(esk57_4(X2,X3,X1,X4),esk56_4(X2,X3,X1,X4),esk59_4(X2,X3,X1,X4))
| X1 = vabs(esk51_4(X2,X3,X1,X4),esk52_4(X2,X3,X1,X4),esk53_4(X2,X3,X1,X4))
| X1 = vapp(esk45_4(X2,X3,X1,X4),esk48_4(X2,X3,X1,X4))
| epred1_4(X4,X1,X3,X2)
| ~ epred2_4(X4,X1,X3,X2) ),
inference(split_conjunct,[status(thm)],[i_0_80]),
[final] ).
cnf(i_0_227,plain,
( X1 = vabs(esk57_4(X2,X3,X1,X4),esk56_4(X2,X3,X1,X4),esk59_4(X2,X3,X1,X4))
| X4 = vabs(esk51_4(X2,X3,X1,X4),esk52_4(X2,X3,X1,X4),esk53_4(X2,X3,X1,X4))
| X1 = vapp(esk45_4(X2,X3,X1,X4),esk48_4(X2,X3,X1,X4))
| epred1_4(X4,X1,X3,X2)
| ~ epred2_4(X4,X1,X3,X2) ),
inference(split_conjunct,[status(thm)],[i_0_80]),
[final] ).
cnf(i_0_228,plain,
( X1 = vabs(esk10_4(X2,X3,X4,X1),esk11_4(X2,X3,X4,X1),vsubst(esk12_4(X2,X3,X4,X1),esk13_4(X2,X3,X4,X1),esk14_4(X2,X3,X4,X1)))
| epred2_4(X1,X4,X3,X2)
| vsubst(X2,X3,X4) != X1 ),
inference(split_conjunct,[status(thm)],[i_0_82]),
[final] ).
cnf(i_0_229,plain,
( visFreeVar(esk57_4(X1,X2,X3,X4),esk55_4(X1,X2,X3,X4))
| X3 = vabs(esk51_4(X1,X2,X3,X4),esk52_4(X1,X2,X3,X4),esk53_4(X1,X2,X3,X4))
| X3 = vapp(esk45_4(X1,X2,X3,X4),esk48_4(X1,X2,X3,X4))
| epred1_4(X4,X3,X2,X1)
| ~ epred2_4(X4,X3,X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_80]),
[final] ).
cnf(i_0_230,plain,
( visFreeVar(esk57_4(X1,X2,X3,X4),esk55_4(X1,X2,X3,X4))
| X4 = vabs(esk51_4(X1,X2,X3,X4),esk52_4(X1,X2,X3,X4),esk53_4(X1,X2,X3,X4))
| X3 = vapp(esk45_4(X1,X2,X3,X4),esk48_4(X1,X2,X3,X4))
| epred1_4(X4,X3,X2,X1)
| ~ epred2_4(X4,X3,X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_80]),
[final] ).
cnf(i_0_231,plain,
( X1 = vabs(esk57_4(X2,X3,X1,X4),esk56_4(X2,X3,X1,X4),esk59_4(X2,X3,X1,X4))
| X1 = vabs(esk51_4(X2,X3,X1,X4),esk52_4(X2,X3,X1,X4),esk53_4(X2,X3,X1,X4))
| X2 = 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_80]),
[final] ).
cnf(i_0_232,plain,
( X1 = vabs(esk57_4(X2,X3,X1,X4),esk56_4(X2,X3,X1,X4),esk59_4(X2,X3,X1,X4))
| X4 = vabs(esk51_4(X2,X3,X1,X4),esk52_4(X2,X3,X1,X4),esk53_4(X2,X3,X1,X4))
| X2 = 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_80]),
[final] ).
cnf(i_0_233,plain,
( X1 = vabs(esk57_4(X2,X3,X1,X4),esk56_4(X2,X3,X1,X4),esk59_4(X2,X3,X1,X4))
| X1 = vabs(esk51_4(X2,X3,X1,X4),esk52_4(X2,X3,X1,X4),esk53_4(X2,X3,X1,X4))
| X3 = 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_80]),
[final] ).
cnf(i_0_234,plain,
( X1 = vabs(esk57_4(X2,X3,X1,X4),esk56_4(X2,X3,X1,X4),esk59_4(X2,X3,X1,X4))
| X4 = vabs(esk51_4(X2,X3,X1,X4),esk52_4(X2,X3,X1,X4),esk53_4(X2,X3,X1,X4))
| X3 = 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_80]),
[final] ).
cnf(i_0_235,plain,
( X3 = vabs(esk51_4(X1,X2,X3,X4),esk52_4(X1,X2,X3,X4),esk53_4(X1,X2,X3,X4))
| X3 = vapp(esk45_4(X1,X2,X3,X4),esk48_4(X1,X2,X3,X4))
| epred1_4(X4,X3,X2,X1)
| esk54_4(X1,X2,X3,X4) != esk57_4(X1,X2,X3,X4)
| ~ epred2_4(X4,X3,X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_80]),
[final] ).
cnf(i_0_236,plain,
( X4 = vabs(esk51_4(X1,X2,X3,X4),esk52_4(X1,X2,X3,X4),esk53_4(X1,X2,X3,X4))
| X3 = vapp(esk45_4(X1,X2,X3,X4),esk48_4(X1,X2,X3,X4))
| epred1_4(X4,X3,X2,X1)
| esk54_4(X1,X2,X3,X4) != esk57_4(X1,X2,X3,X4)
| ~ epred2_4(X4,X3,X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_80]),
[final] ).
cnf(i_0_237,plain,
( X1 = vabs(esk57_4(X2,X3,X1,X4),esk56_4(X2,X3,X1,X4),esk59_4(X2,X3,X1,X4))
| esk50_4(X2,X3,X1,X4) = esk51_4(X2,X3,X1,X4)
| X1 = vapp(esk45_4(X2,X3,X1,X4),esk48_4(X2,X3,X1,X4))
| epred1_4(X4,X1,X3,X2)
| ~ epred2_4(X4,X1,X3,X2) ),
inference(split_conjunct,[status(thm)],[i_0_80]),
[final] ).
cnf(i_0_238,plain,
( X1 = esk55_4(X2,X1,X3,X4)
| X3 = vabs(esk51_4(X2,X1,X3,X4),esk52_4(X2,X1,X3,X4),esk53_4(X2,X1,X3,X4))
| X3 = vapp(esk45_4(X2,X1,X3,X4),esk48_4(X2,X1,X3,X4))
| epred1_4(X4,X3,X1,X2)
| ~ epred2_4(X4,X3,X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_80]),
[final] ).
cnf(i_0_239,plain,
( X1 = esk55_4(X2,X1,X3,X4)
| X4 = vabs(esk51_4(X2,X1,X3,X4),esk52_4(X2,X1,X3,X4),esk53_4(X2,X1,X3,X4))
| X3 = vapp(esk45_4(X2,X1,X3,X4),esk48_4(X2,X1,X3,X4))
| epred1_4(X4,X3,X1,X2)
| ~ epred2_4(X4,X3,X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_80]),
[final] ).
cnf(i_0_240,plain,
( X1 = esk54_4(X1,X2,X3,X4)
| X3 = vabs(esk51_4(X1,X2,X3,X4),esk52_4(X1,X2,X3,X4),esk53_4(X1,X2,X3,X4))
| X3 = vapp(esk45_4(X1,X2,X3,X4),esk48_4(X1,X2,X3,X4))
| epred1_4(X4,X3,X2,X1)
| ~ epred2_4(X4,X3,X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_80]),
[final] ).
cnf(i_0_241,plain,
( X1 = esk54_4(X1,X2,X3,X4)
| X4 = vabs(esk51_4(X1,X2,X3,X4),esk52_4(X1,X2,X3,X4),esk53_4(X1,X2,X3,X4))
| X3 = vapp(esk45_4(X1,X2,X3,X4),esk48_4(X1,X2,X3,X4))
| epred1_4(X4,X3,X2,X1)
| ~ epred2_4(X4,X3,X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_80]),
[final] ).
cnf(i_0_242,plain,
( X1 = vabs(esk57_4(X2,X3,X1,X4),esk56_4(X2,X3,X1,X4),esk59_4(X2,X3,X1,X4))
| X2 = esk50_4(X2,X3,X1,X4)
| X1 = vapp(esk45_4(X2,X3,X1,X4),esk48_4(X2,X3,X1,X4))
| epred1_4(X4,X1,X3,X2)
| ~ epred2_4(X4,X1,X3,X2) ),
inference(split_conjunct,[status(thm)],[i_0_80]),
[final] ).
cnf(i_0_243,plain,
( X1 = vabs(esk57_4(X2,X3,X1,X4),esk56_4(X2,X3,X1,X4),esk59_4(X2,X3,X1,X4))
| X3 = esk49_4(X2,X3,X1,X4)
| X1 = vapp(esk45_4(X2,X3,X1,X4),esk48_4(X2,X3,X1,X4))
| epred1_4(X4,X1,X3,X2)
| ~ epred2_4(X4,X1,X3,X2) ),
inference(split_conjunct,[status(thm)],[i_0_80]),
[final] ).
cnf(i_0_244,plain,
( visFreeVar(esk57_4(X1,X2,X3,X4),esk55_4(X1,X2,X3,X4))
| X3 = vabs(esk51_4(X1,X2,X3,X4),esk52_4(X1,X2,X3,X4),esk53_4(X1,X2,X3,X4))
| X1 = 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_80]),
[final] ).
cnf(i_0_245,plain,
( visFreeVar(esk57_4(X1,X2,X3,X4),esk55_4(X1,X2,X3,X4))
| X4 = vabs(esk51_4(X1,X2,X3,X4),esk52_4(X1,X2,X3,X4),esk53_4(X1,X2,X3,X4))
| X1 = 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_80]),
[final] ).
cnf(i_0_246,plain,
( visFreeVar(esk57_4(X1,X2,X3,X4),esk55_4(X1,X2,X3,X4))
| X3 = vabs(esk51_4(X1,X2,X3,X4),esk52_4(X1,X2,X3,X4),esk53_4(X1,X2,X3,X4))
| X2 = 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_80]),
[final] ).
cnf(i_0_247,plain,
( visFreeVar(esk57_4(X1,X2,X3,X4),esk55_4(X1,X2,X3,X4))
| X4 = vabs(esk51_4(X1,X2,X3,X4),esk52_4(X1,X2,X3,X4),esk53_4(X1,X2,X3,X4))
| X2 = 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_80]),
[final] ).
cnf(i_0_248,plain,
( X3 = vabs(esk51_4(X1,X2,X3,X4),esk52_4(X1,X2,X3,X4),esk53_4(X1,X2,X3,X4))
| X1 = esk46_4(X1,X2,X3,X4)
| epred1_4(X4,X3,X2,X1)
| esk54_4(X1,X2,X3,X4) != esk57_4(X1,X2,X3,X4)
| ~ epred2_4(X4,X3,X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_80]),
[final] ).
cnf(i_0_249,plain,
( X4 = vabs(esk51_4(X1,X2,X3,X4),esk52_4(X1,X2,X3,X4),esk53_4(X1,X2,X3,X4))
| X1 = esk46_4(X1,X2,X3,X4)
| epred1_4(X4,X3,X2,X1)
| esk54_4(X1,X2,X3,X4) != esk57_4(X1,X2,X3,X4)
| ~ epred2_4(X4,X3,X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_80]),
[final] ).
cnf(i_0_250,plain,
( X3 = vabs(esk51_4(X1,X2,X3,X4),esk52_4(X1,X2,X3,X4),esk53_4(X1,X2,X3,X4))
| X2 = esk47_4(X1,X2,X3,X4)
| epred1_4(X4,X3,X2,X1)
| esk54_4(X1,X2,X3,X4) != esk57_4(X1,X2,X3,X4)
| ~ epred2_4(X4,X3,X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_80]),
[final] ).
cnf(i_0_251,plain,
( X4 = vabs(esk51_4(X1,X2,X3,X4),esk52_4(X1,X2,X3,X4),esk53_4(X1,X2,X3,X4))
| X2 = esk47_4(X1,X2,X3,X4)
| epred1_4(X4,X3,X2,X1)
| esk54_4(X1,X2,X3,X4) != esk57_4(X1,X2,X3,X4)
| ~ epred2_4(X4,X3,X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_80]),
[final] ).
cnf(i_0_252,plain,
( visFreeVar(esk57_4(X1,X2,X3,X4),esk55_4(X1,X2,X3,X4))
| esk50_4(X1,X2,X3,X4) = esk51_4(X1,X2,X3,X4)
| X3 = vapp(esk45_4(X1,X2,X3,X4),esk48_4(X1,X2,X3,X4))
| epred1_4(X4,X3,X2,X1)
| ~ epred2_4(X4,X3,X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_80]),
[final] ).
cnf(i_0_253,plain,
( X1 = vabs(esk57_4(X2,X3,X1,X4),esk56_4(X2,X3,X1,X4),esk59_4(X2,X3,X1,X4))
| esk50_4(X2,X3,X1,X4) = esk51_4(X2,X3,X1,X4)
| X2 = 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_80]),
[final] ).
cnf(i_0_254,plain,
( X1 = vabs(esk57_4(X2,X3,X1,X4),esk56_4(X2,X3,X1,X4),esk59_4(X2,X3,X1,X4))
| esk50_4(X2,X3,X1,X4) = esk51_4(X2,X3,X1,X4)
| X3 = 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_80]),
[final] ).
cnf(i_0_255,plain,
( esk50_4(X1,X2,X3,X4) = esk51_4(X1,X2,X3,X4)
| X3 = vapp(esk45_4(X1,X2,X3,X4),esk48_4(X1,X2,X3,X4))
| epred1_4(X4,X3,X2,X1)
| esk54_4(X1,X2,X3,X4) != esk57_4(X1,X2,X3,X4)
| ~ epred2_4(X4,X3,X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_80]),
[final] ).
cnf(i_0_256,plain,
( visFreeVar(esk57_4(X1,X2,X3,X4),esk55_4(X1,X2,X3,X4))
| X1 = esk50_4(X1,X2,X3,X4)
| X3 = vapp(esk45_4(X1,X2,X3,X4),esk48_4(X1,X2,X3,X4))
| epred1_4(X4,X3,X2,X1)
| ~ epred2_4(X4,X3,X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_80]),
[final] ).
cnf(i_0_257,plain,
( visFreeVar(esk57_4(X1,X2,X3,X4),esk55_4(X1,X2,X3,X4))
| X2 = esk49_4(X1,X2,X3,X4)
| X3 = vapp(esk45_4(X1,X2,X3,X4),esk48_4(X1,X2,X3,X4))
| epred1_4(X4,X3,X2,X1)
| ~ epred2_4(X4,X3,X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_80]),
[final] ).
cnf(i_0_258,plain,
( X1 = esk55_4(X2,X1,X3,X4)
| X3 = vabs(esk51_4(X2,X1,X3,X4),esk52_4(X2,X1,X3,X4),esk53_4(X2,X1,X3,X4))
| X1 = 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_80]),
[final] ).
cnf(i_0_259,plain,
( X1 = esk55_4(X2,X1,X3,X4)
| X4 = vabs(esk51_4(X2,X1,X3,X4),esk52_4(X2,X1,X3,X4),esk53_4(X2,X1,X3,X4))
| X1 = 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_80]),
[final] ).
cnf(i_0_260,plain,
( X1 = esk54_4(X1,X2,X3,X4)
| X3 = vabs(esk51_4(X1,X2,X3,X4),esk52_4(X1,X2,X3,X4),esk53_4(X1,X2,X3,X4))
| X1 = 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_80]),
[final] ).
cnf(i_0_261,plain,
( X1 = esk54_4(X1,X2,X3,X4)
| X4 = vabs(esk51_4(X1,X2,X3,X4),esk52_4(X1,X2,X3,X4),esk53_4(X1,X2,X3,X4))
| X1 = 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_80]),
[final] ).
cnf(i_0_262,plain,
( X1 = esk54_4(X1,X2,X3,X4)
| X3 = vabs(esk51_4(X1,X2,X3,X4),esk52_4(X1,X2,X3,X4),esk53_4(X1,X2,X3,X4))
| X2 = 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_80]),
[final] ).
cnf(i_0_263,plain,
( X1 = esk54_4(X1,X2,X3,X4)
| X4 = vabs(esk51_4(X1,X2,X3,X4),esk52_4(X1,X2,X3,X4),esk53_4(X1,X2,X3,X4))
| X2 = 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_80]),
[final] ).
cnf(i_0_264,plain,
( X1 = esk55_4(X2,X1,X3,X4)
| X3 = vabs(esk51_4(X2,X1,X3,X4),esk52_4(X2,X1,X3,X4),esk53_4(X2,X1,X3,X4))
| X2 = 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_80]),
[final] ).
cnf(i_0_265,plain,
( X1 = esk55_4(X2,X1,X3,X4)
| X4 = vabs(esk51_4(X2,X1,X3,X4),esk52_4(X2,X1,X3,X4),esk53_4(X2,X1,X3,X4))
| X2 = 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_80]),
[final] ).
cnf(i_0_266,plain,
( X1 = vabs(esk57_4(X2,X3,X1,X4),esk56_4(X2,X3,X1,X4),esk59_4(X2,X3,X1,X4))
| X2 = esk50_4(X2,X3,X1,X4)
| X2 = 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_80]),
[final] ).
cnf(i_0_267,plain,
( X1 = vabs(esk57_4(X2,X3,X1,X4),esk56_4(X2,X3,X1,X4),esk59_4(X2,X3,X1,X4))
| X3 = esk49_4(X2,X3,X1,X4)
| X2 = 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_80]),
[final] ).
cnf(i_0_268,plain,
( X1 = vabs(esk57_4(X2,X3,X1,X4),esk56_4(X2,X3,X1,X4),esk59_4(X2,X3,X1,X4))
| X2 = esk50_4(X2,X3,X1,X4)
| X3 = 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_80]),
[final] ).
cnf(i_0_269,plain,
( X1 = vabs(esk57_4(X2,X3,X1,X4),esk56_4(X2,X3,X1,X4),esk59_4(X2,X3,X1,X4))
| X3 = esk49_4(X2,X3,X1,X4)
| X3 = 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_80]),
[final] ).
cnf(i_0_270,plain,
( X1 = esk50_4(X1,X2,X3,X4)
| X3 = vapp(esk45_4(X1,X2,X3,X4),esk48_4(X1,X2,X3,X4))
| epred1_4(X4,X3,X2,X1)
| esk54_4(X1,X2,X3,X4) != esk57_4(X1,X2,X3,X4)
| ~ epred2_4(X4,X3,X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_80]),
[final] ).
cnf(i_0_271,plain,
( X2 = esk49_4(X1,X2,X3,X4)
| X3 = vapp(esk45_4(X1,X2,X3,X4),esk48_4(X1,X2,X3,X4))
| epred1_4(X4,X3,X2,X1)
| esk54_4(X1,X2,X3,X4) != esk57_4(X1,X2,X3,X4)
| ~ epred2_4(X4,X3,X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_80]),
[final] ).
cnf(i_0_272,plain,
( X1 = esk55_4(X2,X1,X3,X4)
| esk50_4(X2,X1,X3,X4) = esk51_4(X2,X1,X3,X4)
| X3 = vapp(esk45_4(X2,X1,X3,X4),esk48_4(X2,X1,X3,X4))
| epred1_4(X4,X3,X1,X2)
| ~ epred2_4(X4,X3,X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_80]),
[final] ).
cnf(i_0_273,plain,
( X1 = esk54_4(X1,X2,X3,X4)
| esk50_4(X1,X2,X3,X4) = esk51_4(X1,X2,X3,X4)
| X3 = vapp(esk45_4(X1,X2,X3,X4),esk48_4(X1,X2,X3,X4))
| epred1_4(X4,X3,X2,X1)
| ~ epred2_4(X4,X3,X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_80]),
[final] ).
cnf(i_0_274,plain,
( visFreeVar(esk57_4(X1,X2,X3,X4),esk55_4(X1,X2,X3,X4))
| esk50_4(X1,X2,X3,X4) = esk51_4(X1,X2,X3,X4)
| X1 = 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_80]),
[final] ).
cnf(i_0_275,plain,
( visFreeVar(esk57_4(X1,X2,X3,X4),esk55_4(X1,X2,X3,X4))
| esk50_4(X1,X2,X3,X4) = esk51_4(X1,X2,X3,X4)
| X2 = 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_80]),
[final] ).
cnf(i_0_276,plain,
( esk50_4(X1,X2,X3,X4) = esk51_4(X1,X2,X3,X4)
| X1 = esk46_4(X1,X2,X3,X4)
| epred1_4(X4,X3,X2,X1)
| esk54_4(X1,X2,X3,X4) != esk57_4(X1,X2,X3,X4)
| ~ epred2_4(X4,X3,X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_80]),
[final] ).
cnf(i_0_277,plain,
( esk50_4(X1,X2,X3,X4) = esk51_4(X1,X2,X3,X4)
| X2 = esk47_4(X1,X2,X3,X4)
| epred1_4(X4,X3,X2,X1)
| esk54_4(X1,X2,X3,X4) != esk57_4(X1,X2,X3,X4)
| ~ epred2_4(X4,X3,X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_80]),
[final] ).
cnf(i_0_278,plain,
( X1 = esk54_4(X1,X2,X3,X4)
| X1 = esk50_4(X1,X2,X3,X4)
| X3 = vapp(esk45_4(X1,X2,X3,X4),esk48_4(X1,X2,X3,X4))
| epred1_4(X4,X3,X2,X1)
| ~ epred2_4(X4,X3,X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_80]),
[final] ).
cnf(i_0_279,plain,
( X1 = esk55_4(X2,X1,X3,X4)
| X1 = esk49_4(X2,X1,X3,X4)
| X3 = vapp(esk45_4(X2,X1,X3,X4),esk48_4(X2,X1,X3,X4))
| epred1_4(X4,X3,X1,X2)
| ~ epred2_4(X4,X3,X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_80]),
[final] ).
cnf(i_0_280,plain,
( X1 = esk55_4(X2,X1,X3,X4)
| X2 = esk50_4(X2,X1,X3,X4)
| X3 = vapp(esk45_4(X2,X1,X3,X4),esk48_4(X2,X1,X3,X4))
| epred1_4(X4,X3,X1,X2)
| ~ epred2_4(X4,X3,X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_80]),
[final] ).
cnf(i_0_281,plain,
( X1 = esk54_4(X1,X2,X3,X4)
| X2 = esk49_4(X1,X2,X3,X4)
| X3 = vapp(esk45_4(X1,X2,X3,X4),esk48_4(X1,X2,X3,X4))
| epred1_4(X4,X3,X2,X1)
| ~ epred2_4(X4,X3,X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_80]),
[final] ).
cnf(i_0_282,plain,
( visFreeVar(esk57_4(X1,X2,X3,X4),esk55_4(X1,X2,X3,X4))
| X1 = esk50_4(X1,X2,X3,X4)
| X1 = 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_80]),
[final] ).
cnf(i_0_283,plain,
( visFreeVar(esk57_4(X1,X2,X3,X4),esk55_4(X1,X2,X3,X4))
| X2 = esk49_4(X1,X2,X3,X4)
| X1 = 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_80]),
[final] ).
cnf(i_0_284,plain,
( visFreeVar(esk57_4(X1,X2,X3,X4),esk55_4(X1,X2,X3,X4))
| X1 = esk50_4(X1,X2,X3,X4)
| X2 = 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_80]),
[final] ).
cnf(i_0_285,plain,
( visFreeVar(esk57_4(X1,X2,X3,X4),esk55_4(X1,X2,X3,X4))
| X2 = esk49_4(X1,X2,X3,X4)
| X2 = 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_80]),
[final] ).
cnf(i_0_286,plain,
( X1 = esk50_4(X1,X2,X3,X4)
| X1 = esk46_4(X1,X2,X3,X4)
| epred1_4(X4,X3,X2,X1)
| esk54_4(X1,X2,X3,X4) != esk57_4(X1,X2,X3,X4)
| ~ epred2_4(X4,X3,X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_80]),
[final] ).
cnf(i_0_287,plain,
( X2 = esk49_4(X1,X2,X3,X4)
| X1 = esk46_4(X1,X2,X3,X4)
| epred1_4(X4,X3,X2,X1)
| esk54_4(X1,X2,X3,X4) != esk57_4(X1,X2,X3,X4)
| ~ epred2_4(X4,X3,X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_80]),
[final] ).
cnf(i_0_288,plain,
( X1 = esk50_4(X1,X2,X3,X4)
| X2 = esk47_4(X1,X2,X3,X4)
| epred1_4(X4,X3,X2,X1)
| esk54_4(X1,X2,X3,X4) != esk57_4(X1,X2,X3,X4)
| ~ epred2_4(X4,X3,X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_80]),
[final] ).
cnf(i_0_289,plain,
( X2 = esk49_4(X1,X2,X3,X4)
| X2 = esk47_4(X1,X2,X3,X4)
| epred1_4(X4,X3,X2,X1)
| esk54_4(X1,X2,X3,X4) != esk57_4(X1,X2,X3,X4)
| ~ epred2_4(X4,X3,X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_80]),
[final] ).
cnf(i_0_290,plain,
( epred2_4(X4,X3,X2,X1)
| ~ visFreeVar(esk10_4(X1,X2,X3,X4),esk13_4(X1,X2,X3,X4))
| vsubst(X1,X2,X3) != X4 ),
inference(split_conjunct,[status(thm)],[i_0_82]),
[final] ).
cnf(i_0_291,plain,
( X1 = vabs(esk10_4(X2,X3,X1,X4),esk11_4(X2,X3,X1,X4),esk14_4(X2,X3,X1,X4))
| epred2_4(X4,X1,X3,X2)
| vsubst(X2,X3,X1) != X4 ),
inference(split_conjunct,[status(thm)],[i_0_82]),
[final] ).
cnf(i_0_292,plain,
( X3 = vvar(esk40_4(X1,X2,X3,X4))
| esk43_4(X1,X2,X3,X4) != esk44_4(X1,X2,X3,X4)
| ~ epred1_4(X4,X3,X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_83]),
[final] ).
cnf(i_0_293,plain,
( esk39_4(X1,X2,X3,X4) = esk40_4(X1,X2,X3,X4)
| esk43_4(X1,X2,X3,X4) != esk44_4(X1,X2,X3,X4)
| ~ epred1_4(X4,X3,X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_83]),
[final] ).
cnf(i_0_294,plain,
( X1 = esk55_4(X2,X1,X3,X4)
| esk50_4(X2,X1,X3,X4) = esk51_4(X2,X1,X3,X4)
| X1 = 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_80]),
[final] ).
cnf(i_0_295,plain,
( X1 = esk54_4(X1,X2,X3,X4)
| esk50_4(X1,X2,X3,X4) = esk51_4(X1,X2,X3,X4)
| X1 = 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_80]),
[final] ).
cnf(i_0_296,plain,
( X1 = esk54_4(X1,X2,X3,X4)
| esk50_4(X1,X2,X3,X4) = esk51_4(X1,X2,X3,X4)
| X2 = 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_80]),
[final] ).
cnf(i_0_297,plain,
( X1 = esk55_4(X2,X1,X3,X4)
| esk50_4(X2,X1,X3,X4) = esk51_4(X2,X1,X3,X4)
| X2 = 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_80]),
[final] ).
cnf(i_0_298,plain,
( X2 = vabs(esk18_4(X3,X2,X4,X1),esk19_4(X3,X2,X4,X1),esk20_4(X3,X2,X4,X1))
| visSomeExp(X4)
| X5 = vnoExp
| X1 != vapp(X2,X3)
| X4 != vreduce(X2)
| X5 != vreduce(X1) ),
inference(split_conjunct,[status(thm)],[i_0_84]),
[final] ).
cnf(i_0_299,plain,
( X1 = esk39_4(X1,X2,X3,X4)
| esk43_4(X1,X2,X3,X4) != esk44_4(X1,X2,X3,X4)
| ~ epred1_4(X4,X3,X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_83]),
[final] ).
cnf(i_0_300,plain,
( X2 = esk41_4(X1,X2,X3,X4)
| esk43_4(X1,X2,X3,X4) != esk44_4(X1,X2,X3,X4)
| ~ epred1_4(X4,X3,X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_83]),
[final] ).
cnf(i_0_301,plain,
( X4 = esk41_4(X1,X2,X3,X4)
| esk43_4(X1,X2,X3,X4) != esk44_4(X1,X2,X3,X4)
| ~ epred1_4(X4,X3,X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_83]),
[final] ).
cnf(i_0_302,plain,
( vtcheck(X1,esk29_3(X2,X3,X1),varrow(esk31_3(X2,X3,X1),X3))
| vtcheck(vbind(esk25_3(X2,X3,X1),esk27_3(X2,X3,X1),X1),esk26_3(X2,X3,X1),esk28_3(X2,X3,X1))
| vlookup(esk24_3(X2,X3,X1),X1) = vsomeType(X3)
| ~ vtcheck(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[i_0_85]),
[final] ).
cnf(i_0_303,plain,
( vtcheck(X1,esk29_3(X2,X3,X1),varrow(esk31_3(X2,X3,X1),X3))
| vtcheck(vbind(esk25_3(X2,X3,X1),esk27_3(X2,X3,X1),X1),esk26_3(X2,X3,X1),esk28_3(X2,X3,X1))
| X2 = vvar(esk24_3(X2,X3,X1))
| ~ vtcheck(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[i_0_85]),
[final] ).
cnf(i_0_304,plain,
( X1 = vvar(esk44_4(X2,X3,X1,X4))
| X1 = vvar(esk40_4(X2,X3,X1,X4))
| ~ epred1_4(X4,X1,X3,X2) ),
inference(split_conjunct,[status(thm)],[i_0_83]),
[final] ).
cnf(i_0_305,plain,
( X1 = vvar(esk44_4(X2,X3,X4,X1))
| X4 = vvar(esk40_4(X2,X3,X4,X1))
| ~ epred1_4(X1,X4,X3,X2) ),
inference(split_conjunct,[status(thm)],[i_0_83]),
[final] ).
cnf(i_0_306,plain,
( X1 = esk55_4(X2,X1,X3,X4)
| X1 = esk49_4(X2,X1,X3,X4)
| X1 = 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_80]),
[final] ).
cnf(i_0_307,plain,
( X1 = esk54_4(X1,X2,X3,X4)
| X1 = esk50_4(X1,X2,X3,X4)
| X1 = 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_80]),
[final] ).
cnf(i_0_308,plain,
( X1 = esk55_4(X2,X1,X3,X4)
| X2 = esk50_4(X2,X1,X3,X4)
| X1 = 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_80]),
[final] ).
cnf(i_0_309,plain,
( X1 = esk54_4(X1,X2,X3,X4)
| X2 = esk49_4(X1,X2,X3,X4)
| X1 = 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_80]),
[final] ).
cnf(i_0_310,plain,
( X1 = esk54_4(X1,X2,X3,X4)
| X1 = esk50_4(X1,X2,X3,X4)
| X2 = 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_80]),
[final] ).
cnf(i_0_311,plain,
( X1 = esk54_4(X1,X2,X3,X4)
| X2 = esk49_4(X1,X2,X3,X4)
| X2 = 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_80]),
[final] ).
cnf(i_0_312,plain,
( X1 = esk55_4(X2,X1,X3,X4)
| X1 = esk49_4(X2,X1,X3,X4)
| X2 = 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_80]),
[final] ).
cnf(i_0_313,plain,
( X1 = esk55_4(X2,X1,X3,X4)
| X2 = esk50_4(X2,X1,X3,X4)
| X2 = 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_80]),
[final] ).
cnf(i_0_314,plain,
( X1 = vvar(esk44_4(X2,X3,X1,X4))
| esk39_4(X2,X3,X1,X4) = esk40_4(X2,X3,X1,X4)
| ~ epred1_4(X4,X1,X3,X2) ),
inference(split_conjunct,[status(thm)],[i_0_83]),
[final] ).
cnf(i_0_315,plain,
( X1 = vvar(esk44_4(X2,X3,X4,X1))
| esk39_4(X2,X3,X4,X1) = esk40_4(X2,X3,X4,X1)
| ~ epred1_4(X1,X4,X3,X2) ),
inference(split_conjunct,[status(thm)],[i_0_83]),
[final] ).
cnf(i_0_316,plain,
( vtcheck(X1,esk30_3(X2,X3,X1),esk31_3(X2,X3,X1))
| vtcheck(vbind(esk25_3(X2,X3,X1),esk27_3(X2,X3,X1),X1),esk26_3(X2,X3,X1),esk28_3(X2,X3,X1))
| vlookup(esk24_3(X2,X3,X1),X1) = vsomeType(X3)
| ~ vtcheck(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[i_0_85]),
[final] ).
cnf(i_0_317,plain,
( vtcheck(X1,esk30_3(X2,X3,X1),esk31_3(X2,X3,X1))
| vtcheck(vbind(esk25_3(X2,X3,X1),esk27_3(X2,X3,X1),X1),esk26_3(X2,X3,X1),esk28_3(X2,X3,X1))
| X2 = vvar(esk24_3(X2,X3,X1))
| ~ vtcheck(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[i_0_85]),
[final] ).
cnf(i_0_318,plain,
( X1 = vapp(esk29_3(X1,X2,X3),esk30_3(X1,X2,X3))
| vtcheck(vbind(esk25_3(X1,X2,X3),esk27_3(X1,X2,X3),X3),esk26_3(X1,X2,X3),esk28_3(X1,X2,X3))
| vlookup(esk24_3(X1,X2,X3),X3) = vsomeType(X2)
| ~ vtcheck(X3,X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_85]),
[final] ).
cnf(i_0_319,plain,
( X1 = vapp(esk29_3(X1,X2,X3),esk30_3(X1,X2,X3))
| vtcheck(vbind(esk25_3(X1,X2,X3),esk27_3(X1,X2,X3),X3),esk26_3(X1,X2,X3),esk28_3(X1,X2,X3))
| X1 = vvar(esk24_3(X1,X2,X3))
| ~ vtcheck(X3,X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_85]),
[final] ).
cnf(i_0_320,plain,
( X1 = vapp(vabs(esk71_2(X1,X2),esk69_2(X1,X2),esk73_2(X1,X2)),esk72_2(X1,X2))
| X2 = vsomeExp(vapp(vabs(esk65_2(X1,X2),esk66_2(X1,X2),esk67_2(X1,X2)),vgetSomeExp(esk68_2(X1,X2))))
| X1 = vabs(esk61_2(X1,X2),esk62_2(X1,X2),esk63_2(X1,X2))
| X1 = vvar(esk60_2(X1,X2))
| ~ epred3_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_66]),
[final] ).
cnf(i_0_321,plain,
( X1 = esk43_4(X1,X2,X3,X4)
| X3 = vvar(esk40_4(X1,X2,X3,X4))
| ~ epred1_4(X4,X3,X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_83]),
[final] ).
cnf(i_0_322,plain,
( X1 = esk42_4(X2,X1,X3,X4)
| X3 = vvar(esk40_4(X2,X1,X3,X4))
| ~ epred1_4(X4,X3,X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_83]),
[final] ).
cnf(i_0_323,plain,
( X1 = vvar(esk44_4(X2,X3,X4,X1))
| X1 = esk41_4(X2,X3,X4,X1)
| ~ epred1_4(X1,X4,X3,X2) ),
inference(split_conjunct,[status(thm)],[i_0_83]),
[final] ).
cnf(i_0_324,plain,
( X1 = vvar(esk44_4(X2,X3,X1,X4))
| X2 = esk39_4(X2,X3,X1,X4)
| ~ epred1_4(X4,X1,X3,X2) ),
inference(split_conjunct,[status(thm)],[i_0_83]),
[final] ).
cnf(i_0_325,plain,
( X1 = vvar(esk44_4(X2,X3,X4,X1))
| X2 = esk39_4(X2,X3,X4,X1)
| ~ epred1_4(X1,X4,X3,X2) ),
inference(split_conjunct,[status(thm)],[i_0_83]),
[final] ).
cnf(i_0_326,plain,
( X1 = vvar(esk44_4(X2,X3,X1,X4))
| X3 = esk41_4(X2,X3,X1,X4)
| ~ epred1_4(X4,X1,X3,X2) ),
inference(split_conjunct,[status(thm)],[i_0_83]),
[final] ).
cnf(i_0_327,plain,
( X1 = vvar(esk44_4(X2,X3,X4,X1))
| X3 = esk41_4(X2,X3,X4,X1)
| ~ epred1_4(X1,X4,X3,X2) ),
inference(split_conjunct,[status(thm)],[i_0_83]),
[final] ).
cnf(i_0_328,plain,
( X1 = vvar(esk44_4(X2,X3,X1,X4))
| X4 = esk41_4(X2,X3,X1,X4)
| ~ epred1_4(X4,X1,X3,X2) ),
inference(split_conjunct,[status(thm)],[i_0_83]),
[final] ).
cnf(i_0_329,plain,
( X1 = vapp(vabs(esk71_2(X1,X2),esk69_2(X1,X2),esk73_2(X1,X2)),esk72_2(X1,X2))
| X2 = vsomeExp(vapp(vabs(esk65_2(X1,X2),esk66_2(X1,X2),esk67_2(X1,X2)),vgetSomeExp(esk68_2(X1,X2))))
| X1 = vabs(esk61_2(X1,X2),esk62_2(X1,X2),esk63_2(X1,X2))
| X2 = vnoExp
| ~ epred3_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_66]),
[final] ).
cnf(i_0_330,plain,
( X1 = esk43_4(X1,X2,X3,X4)
| esk39_4(X1,X2,X3,X4) = esk40_4(X1,X2,X3,X4)
| ~ epred1_4(X4,X3,X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_83]),
[final] ).
cnf(i_0_331,plain,
( X1 = esk42_4(X2,X1,X3,X4)
| esk39_4(X2,X1,X3,X4) = esk40_4(X2,X1,X3,X4)
| ~ epred1_4(X4,X3,X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_83]),
[final] ).
cnf(i_0_332,plain,
( X1 = vsomeExp(vsubst(esk71_2(X2,X1),esk72_2(X2,X1),esk73_2(X2,X1)))
| X1 = vsomeExp(vapp(vabs(esk65_2(X2,X1),esk66_2(X2,X1),esk67_2(X2,X1)),vgetSomeExp(esk68_2(X2,X1))))
| X2 = vabs(esk61_2(X2,X1),esk62_2(X2,X1),esk63_2(X2,X1))
| X2 = vvar(esk60_2(X2,X1))
| ~ epred3_2(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_66]),
[final] ).
cnf(i_0_333,plain,
( epred2_4(X4,X3,X2,X1)
| esk12_4(X1,X2,X3,X4) != esk10_4(X1,X2,X3,X4)
| vsubst(X1,X2,X3) != X4 ),
inference(split_conjunct,[status(thm)],[i_0_82]),
[final] ).
cnf(i_0_334,plain,
( X1 = vsomeExp(vsubst(esk71_2(X2,X1),esk72_2(X2,X1),esk73_2(X2,X1)))
| X1 = vsomeExp(vapp(vabs(esk65_2(X2,X1),esk66_2(X2,X1),esk67_2(X2,X1)),vgetSomeExp(esk68_2(X2,X1))))
| X2 = vabs(esk61_2(X2,X1),esk62_2(X2,X1),esk63_2(X2,X1))
| X1 = vnoExp
| ~ epred3_2(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_66]),
[final] ).
cnf(i_0_335,plain,
( X1 = vapp(vabs(esk71_2(X1,X2),esk69_2(X1,X2),esk73_2(X1,X2)),esk72_2(X1,X2))
| X2 = vsomeExp(vapp(vabs(esk65_2(X1,X2),esk66_2(X1,X2),esk67_2(X1,X2)),vgetSomeExp(esk68_2(X1,X2))))
| X2 = vnoExp
| X1 = vvar(esk60_2(X1,X2))
| ~ epred3_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_66]),
[final] ).
cnf(i_0_336,plain,
( X2 = vnoExp
| X1 = vapp(vabs(esk71_2(X1,X2),esk69_2(X1,X2),esk73_2(X1,X2)),esk72_2(X1,X2))
| X2 = vsomeExp(vapp(vabs(esk65_2(X1,X2),esk66_2(X1,X2),esk67_2(X1,X2)),vgetSomeExp(esk68_2(X1,X2))))
| ~ epred3_2(X2,X1) ),
inference(cn,[status(thm)],[i_0_86]),
[final] ).
cnf(i_0_337,plain,
( X1 = vsomeExp(vsubst(esk71_2(X2,X1),esk72_2(X2,X1),esk73_2(X2,X1)))
| X1 = vsomeExp(vapp(vabs(esk65_2(X2,X1),esk66_2(X2,X1),esk67_2(X2,X1)),vgetSomeExp(esk68_2(X2,X1))))
| X1 = vnoExp
| X2 = vvar(esk60_2(X2,X1))
| ~ epred3_2(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_66]),
[final] ).
cnf(i_0_338,plain,
( vtcheck(X1,esk29_3(X2,X3,X1),varrow(esk31_3(X2,X3,X1),X3))
| X2 = vabs(esk25_3(X2,X3,X1),esk27_3(X2,X3,X1),esk26_3(X2,X3,X1))
| vlookup(esk24_3(X2,X3,X1),X1) = vsomeType(X3)
| ~ vtcheck(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[i_0_85]),
[final] ).
cnf(i_0_339,plain,
( vtcheck(X1,esk29_3(X2,X3,X1),varrow(esk31_3(X2,X3,X1),X3))
| X2 = vabs(esk25_3(X2,X3,X1),esk27_3(X2,X3,X1),esk26_3(X2,X3,X1))
| X2 = vvar(esk24_3(X2,X3,X1))
| ~ vtcheck(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[i_0_85]),
[final] ).
cnf(i_0_340,plain,
( X1 = X2
| vtcheck(vbind(X2,X4,vbind(X1,X3,X5)),X6,X7)
| ~ vtcheck(vbind(X1,X3,vbind(X2,X4,X5)),X6,X7) ),
inference(split_conjunct,[status(thm)],[i_0_87]),
[final] ).
cnf(i_0_341,plain,
( X1 = vnoExp
| X1 = vsomeExp(vsubst(esk71_2(X2,X1),esk72_2(X2,X1),esk73_2(X2,X1)))
| X1 = vsomeExp(vapp(vabs(esk65_2(X2,X1),esk66_2(X2,X1),esk67_2(X2,X1)),vgetSomeExp(esk68_2(X2,X1))))
| ~ epred3_2(X1,X2) ),
inference(cn,[status(thm)],[i_0_88]),
[final] ).
cnf(i_0_342,plain,
( X2 = vsomeExp(vapp(vabs(esk65_2(X1,X2),esk66_2(X1,X2),esk67_2(X1,X2)),vgetSomeExp(esk68_2(X1,X2))))
| X1 = vabs(esk61_2(X1,X2),esk62_2(X1,X2),esk63_2(X1,X2))
| X1 = vvar(esk60_2(X1,X2))
| ~ visSomeExp(esk70_2(X1,X2))
| ~ epred3_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_66]),
[final] ).
cnf(i_0_343,plain,
( esk70_2(X1,X2) = vreduce(esk72_2(X1,X2))
| X2 = vsomeExp(vapp(vabs(esk65_2(X1,X2),esk66_2(X1,X2),esk67_2(X1,X2)),vgetSomeExp(esk68_2(X1,X2))))
| X1 = vabs(esk61_2(X1,X2),esk62_2(X1,X2),esk63_2(X1,X2))
| X1 = vvar(esk60_2(X1,X2))
| ~ epred3_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_66]),
[final] ).
cnf(i_0_344,plain,
( visValue(esk72_2(X1,X2))
| X2 = vsomeExp(vapp(vabs(esk65_2(X1,X2),esk66_2(X1,X2),esk67_2(X1,X2)),vgetSomeExp(esk68_2(X1,X2))))
| X1 = vabs(esk61_2(X1,X2),esk62_2(X1,X2),esk63_2(X1,X2))
| X1 = vvar(esk60_2(X1,X2))
| ~ epred3_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_66]),
[final] ).
cnf(i_0_345,plain,
( vtcheck(X3,vsubst(X1,X4,vabs(X2,X6,X7)),X8)
| X1 != X2
| ~ vtcheck(X3,X4,X5)
| ~ vtcheck(vbind(X1,X5,X3),vabs(X2,X6,X7),X8) ),
inference(split_conjunct,[status(thm)],[i_0_89]),
[final] ).
cnf(i_0_346,plain,
( X1 = esk42_4(X2,X1,X3,X4)
| X1 = esk41_4(X2,X1,X3,X4)
| ~ epred1_4(X4,X3,X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_83]),
[final] ).
cnf(i_0_347,plain,
( X1 = esk43_4(X1,X2,X3,X4)
| X1 = esk39_4(X1,X2,X3,X4)
| ~ epred1_4(X4,X3,X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_83]),
[final] ).
cnf(i_0_348,plain,
( X1 = esk43_4(X1,X2,X3,X4)
| X2 = esk41_4(X1,X2,X3,X4)
| ~ epred1_4(X4,X3,X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_83]),
[final] ).
cnf(i_0_349,plain,
( X1 = esk42_4(X2,X1,X3,X4)
| X2 = esk39_4(X2,X1,X3,X4)
| ~ epred1_4(X4,X3,X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_83]),
[final] ).
cnf(i_0_350,plain,
( X1 = esk43_4(X1,X2,X3,X4)
| X4 = esk41_4(X1,X2,X3,X4)
| ~ epred1_4(X4,X3,X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_83]),
[final] ).
cnf(i_0_351,plain,
( X1 = esk42_4(X2,X1,X3,X4)
| X4 = esk41_4(X2,X1,X3,X4)
| ~ epred1_4(X4,X3,X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_83]),
[final] ).
cnf(i_0_352,plain,
( X2 = vsomeExp(vapp(vabs(esk65_2(X1,X2),esk66_2(X1,X2),esk67_2(X1,X2)),vgetSomeExp(esk68_2(X1,X2))))
| X1 = vabs(esk61_2(X1,X2),esk62_2(X1,X2),esk63_2(X1,X2))
| X2 = vnoExp
| ~ visSomeExp(esk70_2(X1,X2))
| ~ epred3_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_66]),
[final] ).
cnf(i_0_353,plain,
( esk70_2(X1,X2) = vreduce(esk72_2(X1,X2))
| X2 = vsomeExp(vapp(vabs(esk65_2(X1,X2),esk66_2(X1,X2),esk67_2(X1,X2)),vgetSomeExp(esk68_2(X1,X2))))
| X1 = vabs(esk61_2(X1,X2),esk62_2(X1,X2),esk63_2(X1,X2))
| X2 = vnoExp
| ~ epred3_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_66]),
[final] ).
cnf(i_0_354,plain,
( visValue(esk72_2(X1,X2))
| X2 = vsomeExp(vapp(vabs(esk65_2(X1,X2),esk66_2(X1,X2),esk67_2(X1,X2)),vgetSomeExp(esk68_2(X1,X2))))
| X1 = vabs(esk61_2(X1,X2),esk62_2(X1,X2),esk63_2(X1,X2))
| X2 = vnoExp
| ~ epred3_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_66]),
[final] ).
cnf(i_0_355,plain,
( vtcheck(X1,esk30_3(X2,X3,X1),esk31_3(X2,X3,X1))
| X2 = vabs(esk25_3(X2,X3,X1),esk27_3(X2,X3,X1),esk26_3(X2,X3,X1))
| vlookup(esk24_3(X2,X3,X1),X1) = vsomeType(X3)
| ~ vtcheck(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[i_0_85]),
[final] ).
cnf(i_0_356,plain,
( vtcheck(X1,esk30_3(X2,X3,X1),esk31_3(X2,X3,X1))
| X2 = vabs(esk25_3(X2,X3,X1),esk27_3(X2,X3,X1),esk26_3(X2,X3,X1))
| X2 = vvar(esk24_3(X2,X3,X1))
| ~ vtcheck(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[i_0_85]),
[final] ).
cnf(i_0_357,plain,
( vtcheck(X1,esk29_3(X2,X3,X1),varrow(esk31_3(X2,X3,X1),X3))
| X3 = varrow(esk27_3(X2,X3,X1),esk28_3(X2,X3,X1))
| vlookup(esk24_3(X2,X3,X1),X1) = vsomeType(X3)
| ~ vtcheck(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[i_0_85]),
[final] ).
cnf(i_0_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))
| X2 = esk1_3(X2,X1,X3)
| vlookup(X2,X1) != X3 ),
inference(split_conjunct,[status(thm)],[i_0_90]),
[final] ).
cnf(i_0_359,plain,
( vtcheck(X1,esk29_3(X2,X3,X1),varrow(esk31_3(X2,X3,X1),X3))
| X3 = varrow(esk27_3(X2,X3,X1),esk28_3(X2,X3,X1))
| X2 = vvar(esk24_3(X2,X3,X1))
| ~ vtcheck(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[i_0_85]),
[final] ).
cnf(i_0_360,plain,
( X1 = vapp(esk29_3(X1,X2,X3),esk30_3(X1,X2,X3))
| X1 = vabs(esk25_3(X1,X2,X3),esk27_3(X1,X2,X3),esk26_3(X1,X2,X3))
| vlookup(esk24_3(X1,X2,X3),X3) = vsomeType(X2)
| ~ vtcheck(X3,X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_85]),
[final] ).
cnf(i_0_361,plain,
( X1 = vapp(esk29_3(X1,X2,X3),esk30_3(X1,X2,X3))
| X1 = vabs(esk25_3(X1,X2,X3),esk27_3(X1,X2,X3),esk26_3(X1,X2,X3))
| X1 = vvar(esk24_3(X1,X2,X3))
| ~ vtcheck(X3,X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_85]),
[final] ).
cnf(i_0_362,plain,
( X1 = vapp(vabs(esk71_2(X1,X2),esk69_2(X1,X2),esk73_2(X1,X2)),esk72_2(X1,X2))
| X1 = vapp(vabs(esk65_2(X1,X2),esk66_2(X1,X2),esk67_2(X1,X2)),esk64_2(X1,X2))
| X1 = vabs(esk61_2(X1,X2),esk62_2(X1,X2),esk63_2(X1,X2))
| X1 = vvar(esk60_2(X1,X2))
| ~ epred3_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_66]),
[final] ).
cnf(i_0_363,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_90]),
[final] ).
cnf(i_0_364,plain,
( X1 = vbind(esk7_3(X2,X1,X3),esk6_3(X2,X1,X3),esk9_3(X2,X1,X3))
| X1 = vbind(esk4_3(X2,X1,X3),esk5_3(X2,X1,X3),esk2_3(X2,X1,X3))
| X3 = vnoType
| vlookup(X2,X1) != X3 ),
inference(split_conjunct,[status(thm)],[i_0_90]),
[final] ).
cnf(i_0_365,plain,
( X2 = vsomeExp(vapp(vabs(esk65_2(X1,X2),esk66_2(X1,X2),esk67_2(X1,X2)),vgetSomeExp(esk68_2(X1,X2))))
| X2 = vnoExp
| X1 = vvar(esk60_2(X1,X2))
| ~ visSomeExp(esk70_2(X1,X2))
| ~ epred3_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_66]),
[final] ).
cnf(i_0_366,plain,
( esk70_2(X1,X2) = vreduce(esk72_2(X1,X2))
| X2 = vsomeExp(vapp(vabs(esk65_2(X1,X2),esk66_2(X1,X2),esk67_2(X1,X2)),vgetSomeExp(esk68_2(X1,X2))))
| X2 = vnoExp
| X1 = vvar(esk60_2(X1,X2))
| ~ epred3_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_66]),
[final] ).
cnf(i_0_367,plain,
( X1 = vapp(vabs(esk71_2(X1,X2),esk69_2(X1,X2),esk73_2(X1,X2)),esk72_2(X1,X2))
| X1 = vapp(vabs(esk65_2(X1,X2),esk66_2(X1,X2),esk67_2(X1,X2)),esk64_2(X1,X2))
| X1 = vabs(esk61_2(X1,X2),esk62_2(X1,X2),esk63_2(X1,X2))
| X2 = vnoExp
| ~ epred3_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_66]),
[final] ).
cnf(i_0_368,plain,
( X1 = vsomeExp(vsubst(esk71_2(X2,X1),esk72_2(X2,X1),esk73_2(X2,X1)))
| X2 = vapp(vabs(esk65_2(X2,X1),esk66_2(X2,X1),esk67_2(X2,X1)),esk64_2(X2,X1))
| X2 = vabs(esk61_2(X2,X1),esk62_2(X2,X1),esk63_2(X2,X1))
| X2 = vvar(esk60_2(X2,X1))
| ~ epred3_2(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_66]),
[final] ).
cnf(i_0_369,plain,
( visValue(esk72_2(X1,X2))
| X2 = vsomeExp(vapp(vabs(esk65_2(X1,X2),esk66_2(X1,X2),esk67_2(X1,X2)),vgetSomeExp(esk68_2(X1,X2))))
| X2 = vnoExp
| X1 = vvar(esk60_2(X1,X2))
| ~ epred3_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_66]),
[final] ).
cnf(i_0_370,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_91]),
[final] ).
cnf(i_0_371,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_92]),
[final] ).
cnf(i_0_372,plain,
( X2 = vnoExp
| X2 = vsomeExp(vapp(vabs(esk65_2(X1,X2),esk66_2(X1,X2),esk67_2(X1,X2)),vgetSomeExp(esk68_2(X1,X2))))
| ~ epred3_2(X2,X1)
| ~ visSomeExp(esk70_2(X1,X2)) ),
inference(cn,[status(thm)],[i_0_93]),
[final] ).
cnf(i_0_373,plain,
( X2 = vnoExp
| esk70_2(X1,X2) = vreduce(esk72_2(X1,X2))
| X2 = vsomeExp(vapp(vabs(esk65_2(X1,X2),esk66_2(X1,X2),esk67_2(X1,X2)),vgetSomeExp(esk68_2(X1,X2))))
| ~ epred3_2(X2,X1) ),
inference(cn,[status(thm)],[i_0_94]),
[final] ).
cnf(i_0_374,plain,
( X1 = vsomeExp(vsubst(esk71_2(X2,X1),esk72_2(X2,X1),esk73_2(X2,X1)))
| X2 = vapp(vabs(esk65_2(X2,X1),esk66_2(X2,X1),esk67_2(X2,X1)),esk64_2(X2,X1))
| X2 = vabs(esk61_2(X2,X1),esk62_2(X2,X1),esk63_2(X2,X1))
| X1 = vnoExp
| ~ epred3_2(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_66]),
[final] ).
cnf(i_0_375,plain,
( X2 = vnoExp
| X2 = vsomeExp(vapp(vabs(esk65_2(X1,X2),esk66_2(X1,X2),esk67_2(X1,X2)),vgetSomeExp(esk68_2(X1,X2))))
| visValue(esk72_2(X1,X2))
| ~ epred3_2(X2,X1) ),
inference(cn,[status(thm)],[i_0_95]),
[final] ).
cnf(i_0_376,plain,
( vtcheck(X1,esk30_3(X2,X3,X1),esk31_3(X2,X3,X1))
| X3 = varrow(esk27_3(X2,X3,X1),esk28_3(X2,X3,X1))
| vlookup(esk24_3(X2,X3,X1),X1) = vsomeType(X3)
| ~ vtcheck(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[i_0_85]),
[final] ).
cnf(i_0_377,plain,
( vtcheck(X1,esk30_3(X2,X3,X1),esk31_3(X2,X3,X1))
| X3 = varrow(esk27_3(X2,X3,X1),esk28_3(X2,X3,X1))
| X2 = vvar(esk24_3(X2,X3,X1))
| ~ vtcheck(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[i_0_85]),
[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))
| X2 = esk1_3(X2,X3,X1)
| vlookup(X2,X3) != X1 ),
inference(split_conjunct,[status(thm)],[i_0_90]),
[final] ).
cnf(i_0_379,plain,
( X1 = vapp(esk29_3(X1,X2,X3),esk30_3(X1,X2,X3))
| X2 = varrow(esk27_3(X1,X2,X3),esk28_3(X1,X2,X3))
| vlookup(esk24_3(X1,X2,X3),X3) = vsomeType(X2)
| ~ vtcheck(X3,X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_85]),
[final] ).
cnf(i_0_380,plain,
( X1 = vapp(vabs(esk71_2(X1,X2),esk69_2(X1,X2),esk73_2(X1,X2)),esk72_2(X1,X2))
| X1 = vapp(vabs(esk65_2(X1,X2),esk66_2(X1,X2),esk67_2(X1,X2)),esk64_2(X1,X2))
| X2 = vnoExp
| X1 = vvar(esk60_2(X1,X2))
| ~ epred3_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_66]),
[final] ).
cnf(i_0_381,plain,
( X1 = vapp(esk29_3(X1,X2,X3),esk30_3(X1,X2,X3))
| X2 = varrow(esk27_3(X1,X2,X3),esk28_3(X1,X2,X3))
| X1 = vvar(esk24_3(X1,X2,X3))
| ~ vtcheck(X3,X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_85]),
[final] ).
cnf(i_0_382,plain,
( X2 = vnoExp
| X1 = vapp(vabs(esk65_2(X1,X2),esk66_2(X1,X2),esk67_2(X1,X2)),esk64_2(X1,X2))
| X1 = vapp(vabs(esk71_2(X1,X2),esk69_2(X1,X2),esk73_2(X1,X2)),esk72_2(X1,X2))
| ~ epred3_2(X2,X1) ),
inference(cn,[status(thm)],[i_0_96]),
[final] ).
cnf(i_0_383,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_90]),
[final] ).
cnf(i_0_384,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_90]),
[final] ).
cnf(i_0_385,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_90]),
[final] ).
cnf(i_0_386,plain,
( X1 = vsomeExp(vsubst(esk71_2(X2,X1),esk72_2(X2,X1),esk73_2(X2,X1)))
| X2 = vapp(vabs(esk65_2(X2,X1),esk66_2(X2,X1),esk67_2(X2,X1)),esk64_2(X2,X1))
| X1 = vnoExp
| X2 = vvar(esk60_2(X2,X1))
| ~ epred3_2(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_66]),
[final] ).
cnf(i_0_387,plain,
( X1 = vnoExp
| X1 = vsomeExp(vsubst(esk71_2(X2,X1),esk72_2(X2,X1),esk73_2(X2,X1)))
| X2 = vapp(vabs(esk65_2(X2,X1),esk66_2(X2,X1),esk67_2(X2,X1)),esk64_2(X2,X1))
| ~ epred3_2(X1,X2) ),
inference(cn,[status(thm)],[i_0_97]),
[final] ).
cnf(i_0_388,plain,
( X1 = esk13_4(X2,X1,X3,X4)
| epred2_4(X4,X3,X1,X2)
| vsubst(X2,X1,X3) != X4 ),
inference(split_conjunct,[status(thm)],[i_0_82]),
[final] ).
cnf(i_0_389,plain,
( X1 = esk12_4(X1,X2,X3,X4)
| epred2_4(X4,X3,X2,X1)
| vsubst(X1,X2,X3) != X4 ),
inference(split_conjunct,[status(thm)],[i_0_82]),
[final] ).
cnf(i_0_390,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_90]),
[final] ).
cnf(i_0_391,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_90]),
[final] ).
cnf(i_0_392,plain,
( X1 = vbind(esk7_3(X2,X1,X3),esk6_3(X2,X1,X3),esk9_3(X2,X1,X3))
| X3 = vsomeType(esk5_3(X2,X1,X3))
| X2 = esk1_3(X2,X1,X3)
| vlookup(X2,X1) != X3 ),
inference(split_conjunct,[status(thm)],[i_0_90]),
[final] ).
cnf(i_0_393,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_90]),
[final] ).
cnf(i_0_394,negated_conjecture,
~ vtcheck(esk33_0,vsubst(esk34_0,esk35_0,vabs(esk36_0,esk37_0,veabs)),esk38_0),
inference(split_conjunct,[status(thm)],[i_0_98]),
[final] ).
cnf(i_0_395,plain,
( X1 = vsomeExp(vapp(vgetSomeExp(esk80_2(X2,X1)),esk81_2(X2,X1)))
| X2 = vapp(vabs(esk74_2(X2,X1),esk75_2(X2,X1),esk76_2(X2,X1)),esk78_2(X2,X1))
| epred3_2(X1,X2)
| ~ epred4_2(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_99]),
[final] ).
cnf(i_0_396,plain,
( X1 = vapp(vabs(esk65_2(X1,X2),esk66_2(X1,X2),esk67_2(X1,X2)),esk64_2(X1,X2))
| X1 = vabs(esk61_2(X1,X2),esk62_2(X1,X2),esk63_2(X1,X2))
| X1 = vvar(esk60_2(X1,X2))
| ~ visSomeExp(esk70_2(X1,X2))
| ~ epred3_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_66]),
[final] ).
cnf(i_0_397,plain,
( esk70_2(X1,X2) = vreduce(esk72_2(X1,X2))
| X1 = vapp(vabs(esk65_2(X1,X2),esk66_2(X1,X2),esk67_2(X1,X2)),esk64_2(X1,X2))
| X1 = vabs(esk61_2(X1,X2),esk62_2(X1,X2),esk63_2(X1,X2))
| X1 = vvar(esk60_2(X1,X2))
| ~ epred3_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_66]),
[final] ).
cnf(i_0_398,plain,
( X1 = vapp(vabs(esk71_2(X1,X2),esk69_2(X1,X2),esk73_2(X1,X2)),esk72_2(X1,X2))
| esk68_2(X1,X2) = vreduce(esk64_2(X1,X2))
| X1 = vabs(esk61_2(X1,X2),esk62_2(X1,X2),esk63_2(X1,X2))
| X1 = vvar(esk60_2(X1,X2))
| ~ epred3_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_66]),
[final] ).
cnf(i_0_399,plain,
( X1 = vapp(vabs(esk71_2(X1,X2),esk69_2(X1,X2),esk73_2(X1,X2)),esk72_2(X1,X2))
| visSomeExp(esk68_2(X1,X2))
| X1 = vabs(esk61_2(X1,X2),esk62_2(X1,X2),esk63_2(X1,X2))
| X1 = vvar(esk60_2(X1,X2))
| ~ epred3_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_66]),
[final] ).
cnf(i_0_400,plain,
( visValue(esk72_2(X1,X2))
| X1 = vapp(vabs(esk65_2(X1,X2),esk66_2(X1,X2),esk67_2(X1,X2)),esk64_2(X1,X2))
| X1 = vabs(esk61_2(X1,X2),esk62_2(X1,X2),esk63_2(X1,X2))
| X1 = vvar(esk60_2(X1,X2))
| ~ epred3_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_66]),
[final] ).
cnf(i_0_401,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_90]),
[final] ).
cnf(i_0_402,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_90]),
[final] ).
cnf(i_0_403,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_90]),
[final] ).
cnf(i_0_404,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_90]),
[final] ).
cnf(i_0_405,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_90]),
[final] ).
cnf(i_0_406,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_90]),
[final] ).
cnf(i_0_407,plain,
( X1 = vapp(vabs(esk65_2(X1,X2),esk66_2(X1,X2),esk67_2(X1,X2)),esk64_2(X1,X2))
| X1 = vabs(esk61_2(X1,X2),esk62_2(X1,X2),esk63_2(X1,X2))
| X2 = vnoExp
| ~ visSomeExp(esk70_2(X1,X2))
| ~ epred3_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_66]),
[final] ).
cnf(i_0_408,plain,
( esk70_2(X1,X2) = vreduce(esk72_2(X1,X2))
| X1 = vapp(vabs(esk65_2(X1,X2),esk66_2(X1,X2),esk67_2(X1,X2)),esk64_2(X1,X2))
| X1 = vabs(esk61_2(X1,X2),esk62_2(X1,X2),esk63_2(X1,X2))
| X2 = vnoExp
| ~ epred3_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_66]),
[final] ).
cnf(i_0_409,plain,
( X1 = vapp(vabs(esk71_2(X1,X2),esk69_2(X1,X2),esk73_2(X1,X2)),esk72_2(X1,X2))
| esk68_2(X1,X2) = vreduce(esk64_2(X1,X2))
| X1 = vabs(esk61_2(X1,X2),esk62_2(X1,X2),esk63_2(X1,X2))
| X2 = vnoExp
| ~ epred3_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_66]),
[final] ).
cnf(i_0_410,plain,
( X1 = vsomeExp(vsubst(esk71_2(X2,X1),esk72_2(X2,X1),esk73_2(X2,X1)))
| esk68_2(X2,X1) = vreduce(esk64_2(X2,X1))
| X2 = vabs(esk61_2(X2,X1),esk62_2(X2,X1),esk63_2(X2,X1))
| X2 = vvar(esk60_2(X2,X1))
| ~ epred3_2(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_66]),
[final] ).
cnf(i_0_411,plain,
( vtcheck(X1,vsubst(X4,X2,veabs),X5)
| ~ vtcheck(X1,X2,X3)
| ~ vtcheck(vbind(X4,X3,X1),veabs,X5) ),
inference(split_conjunct,[status(thm)],[i_0_100]),
[final] ).
cnf(i_0_412,plain,
( X1 = vapp(vabs(esk71_2(X1,X2),esk69_2(X1,X2),esk73_2(X1,X2)),esk72_2(X1,X2))
| visSomeExp(esk68_2(X1,X2))
| X1 = vabs(esk61_2(X1,X2),esk62_2(X1,X2),esk63_2(X1,X2))
| X2 = vnoExp
| ~ epred3_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_66]),
[final] ).
cnf(i_0_413,plain,
( visValue(esk72_2(X1,X2))
| X1 = vapp(vabs(esk65_2(X1,X2),esk66_2(X1,X2),esk67_2(X1,X2)),esk64_2(X1,X2))
| X1 = vabs(esk61_2(X1,X2),esk62_2(X1,X2),esk63_2(X1,X2))
| X2 = vnoExp
| ~ epred3_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_66]),
[final] ).
cnf(i_0_414,plain,
( X1 = vsomeExp(vsubst(esk71_2(X2,X1),esk72_2(X2,X1),esk73_2(X2,X1)))
| visSomeExp(esk68_2(X2,X1))
| X2 = vabs(esk61_2(X2,X1),esk62_2(X2,X1),esk63_2(X2,X1))
| X2 = vvar(esk60_2(X2,X1))
| ~ epred3_2(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_66]),
[final] ).
cnf(i_0_415,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_101]),
[final] ).
cnf(i_0_416,plain,
( X1 = vsomeExp(vsubst(esk71_2(X2,X1),esk72_2(X2,X1),esk73_2(X2,X1)))
| esk68_2(X2,X1) = vreduce(esk64_2(X2,X1))
| X2 = vabs(esk61_2(X2,X1),esk62_2(X2,X1),esk63_2(X2,X1))
| X1 = vnoExp
| ~ epred3_2(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_66]),
[final] ).
cnf(i_0_417,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_90]),
[final] ).
cnf(i_0_418,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_90]),
[final] ).
cnf(i_0_419,plain,
( X1 = esk8_3(X1,X2,X3)
| X2 = vbind(esk4_3(X1,X2,X3),esk5_3(X1,X2,X3),esk2_3(X1,X2,X3))
| X3 = vnoType
| vlookup(X1,X2) != X3 ),
inference(split_conjunct,[status(thm)],[i_0_90]),
[final] ).
cnf(i_0_420,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_90]),
[final] ).
cnf(i_0_421,plain,
( X1 = vsomeExp(vsubst(esk71_2(X2,X1),esk72_2(X2,X1),esk73_2(X2,X1)))
| visSomeExp(esk68_2(X2,X1))
| X2 = vabs(esk61_2(X2,X1),esk62_2(X2,X1),esk63_2(X2,X1))
| X1 = vnoExp
| ~ epred3_2(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_66]),
[final] ).
cnf(i_0_422,plain,
( X1 = vapp(vabs(esk74_2(X1,X2),esk75_2(X1,X2),esk76_2(X1,X2)),esk78_2(X1,X2))
| epred3_2(X2,X1)
| esk79_2(X1,X2) != vabs(X3,X4,X5)
| ~ epred4_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_99]),
[final] ).
cnf(i_0_423,plain,
( vtcheck(X3,vabs(X1,X2,X4),varrow(X2,X5))
| ~ vtcheck(vbind(X1,X2,X3),X4,X5) ),
inference(split_conjunct,[status(thm)],[i_0_102]),
[final] ).
cnf(i_0_424,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_90]),
[final] ).
cnf(i_0_425,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_90]),
[final] ).
cnf(i_0_426,plain,
( X1 = vapp(esk79_2(X1,X2),esk81_2(X1,X2))
| X1 = vapp(vabs(esk74_2(X1,X2),esk75_2(X1,X2),esk76_2(X1,X2)),esk78_2(X1,X2))
| epred3_2(X2,X1)
| ~ epred4_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_99]),
[final] ).
cnf(i_0_427,plain,
( X1 = vapp(vabs(esk65_2(X1,X2),esk66_2(X1,X2),esk67_2(X1,X2)),esk64_2(X1,X2))
| X2 = vnoExp
| X1 = vvar(esk60_2(X1,X2))
| ~ visSomeExp(esk70_2(X1,X2))
| ~ epred3_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_66]),
[final] ).
cnf(i_0_428,plain,
( esk70_2(X1,X2) = vreduce(esk72_2(X1,X2))
| X1 = vapp(vabs(esk65_2(X1,X2),esk66_2(X1,X2),esk67_2(X1,X2)),esk64_2(X1,X2))
| X2 = vnoExp
| X1 = vvar(esk60_2(X1,X2))
| ~ epred3_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_66]),
[final] ).
cnf(i_0_429,plain,
( X1 = vapp(vabs(esk71_2(X1,X2),esk69_2(X1,X2),esk73_2(X1,X2)),esk72_2(X1,X2))
| esk68_2(X1,X2) = vreduce(esk64_2(X1,X2))
| X2 = vnoExp
| X1 = vvar(esk60_2(X1,X2))
| ~ epred3_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_66]),
[final] ).
cnf(i_0_430,plain,
( X1 = vapp(vabs(esk71_2(X1,X2),esk69_2(X1,X2),esk73_2(X1,X2)),esk72_2(X1,X2))
| visSomeExp(esk68_2(X1,X2))
| X2 = vnoExp
| X1 = vvar(esk60_2(X1,X2))
| ~ epred3_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_66]),
[final] ).
cnf(i_0_431,plain,
( visValue(esk72_2(X1,X2))
| X1 = vapp(vabs(esk65_2(X1,X2),esk66_2(X1,X2),esk67_2(X1,X2)),esk64_2(X1,X2))
| X2 = vnoExp
| X1 = vvar(esk60_2(X1,X2))
| ~ epred3_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_66]),
[final] ).
cnf(i_0_432,plain,
( esk80_2(X1,X2) = vreduce(esk79_2(X1,X2))
| X1 = vapp(vabs(esk74_2(X1,X2),esk75_2(X1,X2),esk76_2(X1,X2)),esk78_2(X1,X2))
| epred3_2(X2,X1)
| ~ epred4_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_99]),
[final] ).
cnf(i_0_433,plain,
( X2 = vnoExp
| X1 = vapp(vabs(esk65_2(X1,X2),esk66_2(X1,X2),esk67_2(X1,X2)),esk64_2(X1,X2))
| ~ epred3_2(X2,X1)
| ~ visSomeExp(esk70_2(X1,X2)) ),
inference(cn,[status(thm)],[i_0_103]),
[final] ).
cnf(i_0_434,plain,
( X2 = vnoExp
| esk70_2(X1,X2) = vreduce(esk72_2(X1,X2))
| X1 = vapp(vabs(esk65_2(X1,X2),esk66_2(X1,X2),esk67_2(X1,X2)),esk64_2(X1,X2))
| ~ epred3_2(X2,X1) ),
inference(cn,[status(thm)],[i_0_104]),
[final] ).
cnf(i_0_435,plain,
( X2 = vnoExp
| esk68_2(X1,X2) = vreduce(esk64_2(X1,X2))
| X1 = vapp(vabs(esk71_2(X1,X2),esk69_2(X1,X2),esk73_2(X1,X2)),esk72_2(X1,X2))
| ~ epred3_2(X2,X1) ),
inference(cn,[status(thm)],[i_0_105]),
[final] ).
cnf(i_0_436,plain,
( visSomeExp(esk80_2(X1,X2))
| X1 = vapp(vabs(esk74_2(X1,X2),esk75_2(X1,X2),esk76_2(X1,X2)),esk78_2(X1,X2))
| epred3_2(X2,X1)
| ~ epred4_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_99]),
[final] ).
cnf(i_0_437,plain,
( X1 = vsomeExp(vsubst(esk71_2(X2,X1),esk72_2(X2,X1),esk73_2(X2,X1)))
| esk68_2(X2,X1) = vreduce(esk64_2(X2,X1))
| X1 = vnoExp
| X2 = vvar(esk60_2(X2,X1))
| ~ epred3_2(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_66]),
[final] ).
cnf(i_0_438,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_90]),
[final] ).
cnf(i_0_439,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_90]),
[final] ).
cnf(i_0_440,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_90]),
[final] ).
cnf(i_0_441,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_90]),
[final] ).
cnf(i_0_442,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_90]),
[final] ).
cnf(i_0_443,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_90]),
[final] ).
cnf(i_0_444,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_106]),
[final] ).
cnf(i_0_445,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_90]),
[final] ).
cnf(i_0_446,plain,
( X2 = vnoExp
| X1 = vapp(vabs(esk71_2(X1,X2),esk69_2(X1,X2),esk73_2(X1,X2)),esk72_2(X1,X2))
| visSomeExp(esk68_2(X1,X2))
| ~ epred3_2(X2,X1) ),
inference(cn,[status(thm)],[i_0_107]),
[final] ).
cnf(i_0_447,plain,
( X2 = vnoExp
| X1 = vapp(vabs(esk65_2(X1,X2),esk66_2(X1,X2),esk67_2(X1,X2)),esk64_2(X1,X2))
| visValue(esk72_2(X1,X2))
| ~ epred3_2(X2,X1) ),
inference(cn,[status(thm)],[i_0_108]),
[final] ).
cnf(i_0_448,plain,
( X1 = vsomeExp(vsubst(esk71_2(X2,X1),esk72_2(X2,X1),esk73_2(X2,X1)))
| visSomeExp(esk68_2(X2,X1))
| X1 = vnoExp
| X2 = vvar(esk60_2(X2,X1))
| ~ epred3_2(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_66]),
[final] ).
cnf(i_0_449,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_109]),
[final] ).
cnf(i_0_450,plain,
( X1 = vnoExp
| esk68_2(X2,X1) = vreduce(esk64_2(X2,X1))
| X1 = vsomeExp(vsubst(esk71_2(X2,X1),esk72_2(X2,X1),esk73_2(X2,X1)))
| ~ epred3_2(X1,X2) ),
inference(cn,[status(thm)],[i_0_110]),
[final] ).
cnf(i_0_451,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_111]),
[final] ).
cnf(i_0_452,plain,
( visFreeVar(X1,X2)
| vtcheck(X4,X2,X5)
| ~ vtcheck(vbind(X1,X3,X4),X2,X5) ),
inference(split_conjunct,[status(thm)],[i_0_112]),
[final] ).
cnf(i_0_453,plain,
( X1 = vnoExp
| X1 = vsomeExp(vsubst(esk71_2(X2,X1),esk72_2(X2,X1),esk73_2(X2,X1)))
| visSomeExp(esk68_2(X2,X1))
| ~ epred3_2(X1,X2) ),
inference(cn,[status(thm)],[i_0_113]),
[final] ).
cnf(i_0_454,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_90]),
[final] ).
cnf(i_0_455,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_90]),
[final] ).
cnf(i_0_456,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_90]),
[final] ).
cnf(i_0_457,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_90]),
[final] ).
cnf(i_0_458,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_90]),
[final] ).
cnf(i_0_459,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_90]),
[final] ).
cnf(i_0_460,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_90]),
[final] ).
cnf(i_0_461,plain,
( vtcheck(X1,vapp(X2,X5),X4)
| ~ vtcheck(X1,X2,varrow(X3,X4))
| ~ vtcheck(X1,X5,X3) ),
inference(split_conjunct,[status(thm)],[i_0_114]),
[final] ).
cnf(i_0_462,plain,
( X1 = vsomeExp(vapp(vgetSomeExp(esk80_2(X2,X1)),esk81_2(X2,X1)))
| epred3_2(X1,X2)
| ~ visSomeExp(esk77_2(X2,X1))
| ~ epred4_2(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_99]),
[final] ).
cnf(i_0_463,plain,
( X1 = vsomeExp(vapp(vgetSomeExp(esk80_2(X2,X1)),esk81_2(X2,X1)))
| epred3_2(X1,X2)
| ~ visValue(esk78_2(X2,X1))
| ~ epred4_2(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_99]),
[final] ).
cnf(i_0_464,plain,
( X1 = vsomeExp(vapp(vgetSomeExp(esk80_2(X2,X1)),esk81_2(X2,X1)))
| esk77_2(X2,X1) = vreduce(esk78_2(X2,X1))
| epred3_2(X1,X2)
| ~ epred4_2(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_99]),
[final] ).
cnf(i_0_465,plain,
( esk68_2(X1,X2) = vreduce(esk64_2(X1,X2))
| X1 = vabs(esk61_2(X1,X2),esk62_2(X1,X2),esk63_2(X1,X2))
| X1 = vvar(esk60_2(X1,X2))
| ~ visSomeExp(esk70_2(X1,X2))
| ~ epred3_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_66]),
[final] ).
cnf(i_0_466,plain,
( esk70_2(X1,X2) = vreduce(esk72_2(X1,X2))
| esk68_2(X1,X2) = vreduce(esk64_2(X1,X2))
| X1 = vabs(esk61_2(X1,X2),esk62_2(X1,X2),esk63_2(X1,X2))
| X1 = vvar(esk60_2(X1,X2))
| ~ epred3_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_66]),
[final] ).
cnf(i_0_467,plain,
( vtcheck(vbind(X1,X5,X2),X3,X4)
| vlookup(X1,X2) != vnoType
| ~ vtcheck(X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[i_0_115]),
[final] ).
cnf(i_0_468,plain,
( visSomeExp(esk68_2(X1,X2))
| X1 = vabs(esk61_2(X1,X2),esk62_2(X1,X2),esk63_2(X1,X2))
| X1 = vvar(esk60_2(X1,X2))
| ~ visSomeExp(esk70_2(X1,X2))
| ~ epred3_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_66]),
[final] ).
cnf(i_0_469,plain,
( visFreeVar(X1,X2)
| vtcheck(vbind(X1,X5,X3),X2,X4)
| ~ vtcheck(X3,X2,X4) ),
inference(split_conjunct,[status(thm)],[i_0_116]),
[final] ).
cnf(i_0_470,plain,
( esk70_2(X1,X2) = vreduce(esk72_2(X1,X2))
| visSomeExp(esk68_2(X1,X2))
| X1 = vabs(esk61_2(X1,X2),esk62_2(X1,X2),esk63_2(X1,X2))
| X1 = vvar(esk60_2(X1,X2))
| ~ epred3_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_66]),
[final] ).
cnf(i_0_471,plain,
( visValue(esk72_2(X1,X2))
| esk68_2(X1,X2) = vreduce(esk64_2(X1,X2))
| X1 = vabs(esk61_2(X1,X2),esk62_2(X1,X2),esk63_2(X1,X2))
| X1 = vvar(esk60_2(X1,X2))
| ~ epred3_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_66]),
[final] ).
cnf(i_0_472,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_90]),
[final] ).
cnf(i_0_473,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_90]),
[final] ).
cnf(i_0_474,plain,
( esk68_2(X1,X2) = vreduce(esk64_2(X1,X2))
| X1 = vabs(esk61_2(X1,X2),esk62_2(X1,X2),esk63_2(X1,X2))
| X2 = vnoExp
| ~ visSomeExp(esk70_2(X1,X2))
| ~ epred3_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_66]),
[final] ).
cnf(i_0_475,negated_conjecture,
vtcheck(vbind(esk34_0,esk32_0,esk33_0),vabs(esk36_0,esk37_0,veabs),esk38_0),
inference(split_conjunct,[status(thm)],[i_0_98]),
[final] ).
cnf(i_0_476,plain,
( visValue(esk72_2(X1,X2))
| visSomeExp(esk68_2(X1,X2))
| X1 = vabs(esk61_2(X1,X2),esk62_2(X1,X2),esk63_2(X1,X2))
| X1 = vvar(esk60_2(X1,X2))
| ~ epred3_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_66]),
[final] ).
cnf(i_0_477,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_90]),
[final] ).
cnf(i_0_478,plain,
( esk70_2(X1,X2) = vreduce(esk72_2(X1,X2))
| esk68_2(X1,X2) = vreduce(esk64_2(X1,X2))
| X1 = vabs(esk61_2(X1,X2),esk62_2(X1,X2),esk63_2(X1,X2))
| X2 = vnoExp
| ~ epred3_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_66]),
[final] ).
cnf(i_0_479,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_90]),
[final] ).
cnf(i_0_480,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_117]),
[final] ).
cnf(i_0_481,plain,
( X1 = vsomeExp(vapp(vgetSomeExp(esk80_2(X2,X1)),esk81_2(X2,X1)))
| X1 = vnoExp
| epred3_2(X1,X2)
| ~ epred4_2(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_99]),
[final] ).
cnf(i_0_482,plain,
( visSomeExp(esk68_2(X1,X2))
| X1 = vabs(esk61_2(X1,X2),esk62_2(X1,X2),esk63_2(X1,X2))
| X2 = vnoExp
| ~ visSomeExp(esk70_2(X1,X2))
| ~ epred3_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_66]),
[final] ).
cnf(i_0_483,plain,
( esk70_2(X1,X2) = vreduce(esk72_2(X1,X2))
| visSomeExp(esk68_2(X1,X2))
| X1 = vabs(esk61_2(X1,X2),esk62_2(X1,X2),esk63_2(X1,X2))
| X2 = vnoExp
| ~ epred3_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_66]),
[final] ).
cnf(i_0_484,plain,
( visValue(esk72_2(X1,X2))
| esk68_2(X1,X2) = vreduce(esk64_2(X1,X2))
| X1 = vabs(esk61_2(X1,X2),esk62_2(X1,X2),esk63_2(X1,X2))
| X2 = vnoExp
| ~ epred3_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_66]),
[final] ).
cnf(i_0_485,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_118]),
[final] ).
cnf(i_0_486,plain,
( visValue(esk72_2(X1,X2))
| visSomeExp(esk68_2(X1,X2))
| X1 = vabs(esk61_2(X1,X2),esk62_2(X1,X2),esk63_2(X1,X2))
| X2 = vnoExp
| ~ epred3_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_66]),
[final] ).
cnf(i_0_487,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_90]),
[final] ).
cnf(i_0_488,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_90]),
[final] ).
cnf(i_0_489,plain,
( epred3_2(X2,X1)
| esk79_2(X1,X2) != vabs(X3,X4,X5)
| ~ visSomeExp(esk77_2(X1,X2))
| ~ epred4_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_99]),
[final] ).
cnf(i_0_490,plain,
( epred3_2(X2,X1)
| esk79_2(X1,X2) != vabs(X3,X4,X5)
| ~ visValue(esk78_2(X1,X2))
| ~ epred4_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_99]),
[final] ).
cnf(i_0_491,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_90]),
[final] ).
cnf(i_0_492,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_90]),
[final] ).
cnf(i_0_493,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_90]),
[final] ).
cnf(i_0_494,plain,
( esk77_2(X1,X2) = vreduce(esk78_2(X1,X2))
| epred3_2(X2,X1)
| esk79_2(X1,X2) != vabs(X3,X4,X5)
| ~ epred4_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_99]),
[final] ).
cnf(i_0_495,plain,
( X1 = X2
| vbind(X1,X3,X4) != vbind(X2,X5,X6) ),
inference(split_conjunct,[status(thm)],[i_0_119]),
[final] ).
cnf(i_0_496,plain,
( X1 = X2
| vbind(X3,X1,X4) != vbind(X5,X2,X6) ),
inference(split_conjunct,[status(thm)],[i_0_119]),
[final] ).
cnf(i_0_497,plain,
( X1 = X2
| vbind(X3,X4,X1) != vbind(X5,X6,X2) ),
inference(split_conjunct,[status(thm)],[i_0_119]),
[final] ).
cnf(i_0_498,plain,
( X1 = X2
| vabs(X1,X3,X4) != vabs(X2,X5,X6) ),
inference(split_conjunct,[status(thm)],[i_0_120]),
[final] ).
cnf(i_0_499,plain,
( X1 = X2
| vabs(X3,X1,X4) != vabs(X5,X2,X6) ),
inference(split_conjunct,[status(thm)],[i_0_120]),
[final] ).
cnf(i_0_500,plain,
( X1 = X2
| vabs(X3,X4,X1) != vabs(X5,X6,X2) ),
inference(split_conjunct,[status(thm)],[i_0_120]),
[final] ).
cnf(i_0_501,plain,
( X1 = vapp(esk79_2(X1,X2),esk81_2(X1,X2))
| epred3_2(X2,X1)
| ~ visSomeExp(esk77_2(X1,X2))
| ~ epred4_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_99]),
[final] ).
cnf(i_0_502,plain,
( X1 = vapp(esk79_2(X1,X2),esk81_2(X1,X2))
| epred3_2(X2,X1)
| ~ visValue(esk78_2(X1,X2))
| ~ epred4_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_99]),
[final] ).
cnf(i_0_503,plain,
( X1 = vapp(esk79_2(X1,X2),esk81_2(X1,X2))
| esk77_2(X1,X2) = vreduce(esk78_2(X1,X2))
| epred3_2(X2,X1)
| ~ epred4_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_99]),
[final] ).
cnf(i_0_504,plain,
( esk68_2(X1,X2) = vreduce(esk64_2(X1,X2))
| X2 = vnoExp
| X1 = vvar(esk60_2(X1,X2))
| ~ visSomeExp(esk70_2(X1,X2))
| ~ epred3_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_66]),
[final] ).
cnf(i_0_505,plain,
( X2 = vnoExp
| epred3_2(X2,X1)
| esk79_2(X1,X2) != vabs(X3,X4,X5)
| ~ epred4_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_99]),
[final] ).
cnf(i_0_506,plain,
( esk70_2(X1,X2) = vreduce(esk72_2(X1,X2))
| esk68_2(X1,X2) = vreduce(esk64_2(X1,X2))
| X2 = vnoExp
| X1 = vvar(esk60_2(X1,X2))
| ~ epred3_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_66]),
[final] ).
cnf(i_0_507,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_90]),
[final] ).
cnf(i_0_508,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_90]),
[final] ).
cnf(i_0_509,plain,
( visSomeExp(esk68_2(X1,X2))
| X2 = vnoExp
| X1 = vvar(esk60_2(X1,X2))
| ~ visSomeExp(esk70_2(X1,X2))
| ~ epred3_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_66]),
[final] ).
cnf(i_0_510,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_121]),
[final] ).
cnf(i_0_511,plain,
( epred4_2(X2,X1)
| esk22_2(X1,X2) != vabs(X3,X4,X5)
| vreduce(X1) != X2 ),
inference(split_conjunct,[status(thm)],[i_0_122]),
[final] ).
cnf(i_0_512,plain,
( X1 = X2
| visFreeVar(X4,X5)
| ~ visFreeVar(X2,X3)
| X4 != X2
| X5 != vabs(X1,X6,X3) ),
inference(split_conjunct,[status(thm)],[i_0_123]),
[final] ).
cnf(i_0_513,plain,
( esk70_2(X1,X2) = vreduce(esk72_2(X1,X2))
| visSomeExp(esk68_2(X1,X2))
| X2 = vnoExp
| X1 = vvar(esk60_2(X1,X2))
| ~ epred3_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_66]),
[final] ).
cnf(i_0_514,plain,
( visValue(esk72_2(X1,X2))
| esk68_2(X1,X2) = vreduce(esk64_2(X1,X2))
| X2 = vnoExp
| X1 = vvar(esk60_2(X1,X2))
| ~ epred3_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_66]),
[final] ).
cnf(i_0_515,plain,
( esk80_2(X1,X2) = vreduce(esk79_2(X1,X2))
| epred3_2(X2,X1)
| ~ visSomeExp(esk77_2(X1,X2))
| ~ epred4_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_99]),
[final] ).
cnf(i_0_516,plain,
( esk80_2(X1,X2) = vreduce(esk79_2(X1,X2))
| epred3_2(X2,X1)
| ~ visValue(esk78_2(X1,X2))
| ~ epred4_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_99]),
[final] ).
cnf(i_0_517,plain,
( visFreeVar(X1,X2)
| ~ visFreeVar(X3,X4)
| X3 != X1
| X4 != vabs(X5,X6,X2) ),
inference(split_conjunct,[status(thm)],[i_0_123]),
[final] ).
cnf(i_0_518,plain,
( esk80_2(X1,X2) = vreduce(esk79_2(X1,X2))
| esk77_2(X1,X2) = vreduce(esk78_2(X1,X2))
| epred3_2(X2,X1)
| ~ epred4_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_99]),
[final] ).
cnf(i_0_519,plain,
( X7 = vsomeType(X5)
| X1 != X2
| X3 != vbind(X4,X5,X6)
| X2 != X4
| X7 != vlookup(X1,X3) ),
inference(split_conjunct,[status(thm)],[i_0_124]),
[final] ).
cnf(i_0_520,plain,
( X1 != X2
| ~ visFreeVar(X3,X4)
| X3 != X2
| X4 != vabs(X1,X5,X6) ),
inference(split_conjunct,[status(thm)],[i_0_123]),
[final] ).
cnf(i_0_521,plain,
( visValue(esk72_2(X1,X2))
| visSomeExp(esk68_2(X1,X2))
| X2 = vnoExp
| X1 = vvar(esk60_2(X1,X2))
| ~ epred3_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_66]),
[final] ).
cnf(i_0_522,plain,
( X2 = vnoExp
| esk68_2(X1,X2) = vreduce(esk64_2(X1,X2))
| ~ epred3_2(X2,X1)
| ~ visSomeExp(esk70_2(X1,X2)) ),
inference(cn,[status(thm)],[i_0_125]),
[final] ).
cnf(i_0_523,plain,
( visSomeExp(esk80_2(X1,X2))
| epred3_2(X2,X1)
| ~ visSomeExp(esk77_2(X1,X2))
| ~ epred4_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_99]),
[final] ).
cnf(i_0_524,plain,
( visSomeExp(esk80_2(X1,X2))
| epred3_2(X2,X1)
| ~ visValue(esk78_2(X1,X2))
| ~ epred4_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_99]),
[final] ).
cnf(i_0_525,plain,
( X2 = vnoExp
| esk68_2(X1,X2) = vreduce(esk64_2(X1,X2))
| esk70_2(X1,X2) = vreduce(esk72_2(X1,X2))
| ~ epred3_2(X2,X1) ),
inference(cn,[status(thm)],[i_0_126]),
[final] ).
cnf(i_0_526,plain,
( visSomeExp(esk80_2(X1,X2))
| esk77_2(X1,X2) = vreduce(esk78_2(X1,X2))
| epred3_2(X2,X1)
| ~ epred4_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_99]),
[final] ).
cnf(i_0_527,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_127]),
[final] ).
cnf(i_0_528,plain,
( X7 = X4
| X1 != X2
| X3 != X4
| X5 != vvar(X6)
| X2 != X6
| X7 != vsubst(X1,X3,X5) ),
inference(split_conjunct,[status(thm)],[i_0_128]),
[final] ).
cnf(i_0_529,plain,
vabs(X1,X2,X3) != vapp(X4,X5),
inference(split_conjunct,[status(thm)],[i_0_129]),
[final] ).
cnf(i_0_530,plain,
( X1 = vapp(esk79_2(X1,X2),esk81_2(X1,X2))
| X2 = vnoExp
| epred3_2(X2,X1)
| ~ epred4_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_99]),
[final] ).
cnf(i_0_531,plain,
( X2 = vnoExp
| visSomeExp(esk68_2(X1,X2))
| ~ epred3_2(X2,X1)
| ~ visSomeExp(esk70_2(X1,X2)) ),
inference(cn,[status(thm)],[i_0_130]),
[final] ).
cnf(i_0_532,plain,
( X2 = vnoExp
| esk70_2(X1,X2) = vreduce(esk72_2(X1,X2))
| visSomeExp(esk68_2(X1,X2))
| ~ epred3_2(X2,X1) ),
inference(cn,[status(thm)],[i_0_131]),
[final] ).
cnf(i_0_533,plain,
( X2 = vnoExp
| esk68_2(X1,X2) = vreduce(esk64_2(X1,X2))
| visValue(esk72_2(X1,X2))
| ~ epred3_2(X2,X1) ),
inference(cn,[status(thm)],[i_0_132]),
[final] ).
cnf(i_0_534,plain,
( X5 = vnoExp
| X1 != vabs(X2,X3,X4)
| X5 != vreduce(X1) ),
inference(split_conjunct,[status(thm)],[i_0_133]),
[final] ).
cnf(i_0_535,plain,
vvar(X1) != vabs(X2,X3,X4),
inference(split_conjunct,[status(thm)],[i_0_134]),
[final] ).
cnf(i_0_536,plain,
( visValue(X1)
| X1 != vabs(X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[i_0_135]),
[final] ).
cnf(i_0_537,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_122]),
[final] ).
cnf(i_0_538,plain,
( vtcheck(X2,vvar(X1),X3)
| vlookup(X1,X2) != vsomeType(X3) ),
inference(split_conjunct,[status(thm)],[i_0_136]),
[final] ).
cnf(i_0_539,plain,
vempty != vbind(X1,X2,X3),
inference(split_conjunct,[status(thm)],[i_0_137]),
[final] ).
cnf(i_0_540,plain,
( X2 = vnoExp
| visValue(esk72_2(X1,X2))
| visSomeExp(esk68_2(X1,X2))
| ~ epred3_2(X2,X1) ),
inference(cn,[status(thm)],[i_0_138]),
[final] ).
cnf(i_0_541,plain,
( esk80_2(X1,X2) = vreduce(esk79_2(X1,X2))
| X2 = vnoExp
| epred3_2(X2,X1)
| ~ epred4_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_99]),
[final] ).
cnf(i_0_542,plain,
( visFreeVar(X3,X4)
| visFreeVar(X3,X5)
| ~ visFreeVar(X1,X2)
| X1 != X3
| X2 != vapp(X4,X5) ),
inference(split_conjunct,[status(thm)],[i_0_139]),
[final] ).
cnf(i_0_543,plain,
( epred4_2(X2,X1)
| ~ visSomeExp(esk23_2(X1,X2))
| vreduce(X1) != X2 ),
inference(split_conjunct,[status(thm)],[i_0_122]),
[final] ).
cnf(i_0_544,plain,
( visSomeExp(esk80_2(X1,X2))
| X2 = vnoExp
| epred3_2(X2,X1)
| ~ epred4_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_99]),
[final] ).
cnf(i_0_545,plain,
( esk23_2(X1,X2) = vreduce(esk22_2(X1,X2))
| epred4_2(X2,X1)
| vreduce(X1) != X2 ),
inference(split_conjunct,[status(thm)],[i_0_122]),
[final] ).
cnf(i_0_546,plain,
( visFreeVar(X3,X4)
| ~ visFreeVar(X1,X2)
| X3 != X1
| X4 != vapp(X2,X5) ),
inference(split_conjunct,[status(thm)],[i_0_139]),
[final] ).
cnf(i_0_547,plain,
( visFreeVar(X3,X4)
| ~ visFreeVar(X1,X2)
| X3 != X1
| X4 != vapp(X5,X2) ),
inference(split_conjunct,[status(thm)],[i_0_139]),
[final] ).
cnf(i_0_548,negated_conjecture,
vtcheck(esk33_0,esk35_0,esk32_0),
inference(split_conjunct,[status(thm)],[i_0_98]),
[final] ).
cnf(i_0_549,plain,
( X1 = X2
| varrow(X1,X3) != varrow(X2,X4) ),
inference(split_conjunct,[status(thm)],[i_0_140]),
[final] ).
cnf(i_0_550,plain,
( X1 = X2
| varrow(X3,X1) != varrow(X4,X2) ),
inference(split_conjunct,[status(thm)],[i_0_140]),
[final] ).
cnf(i_0_551,plain,
( X1 = X2
| vapp(X1,X3) != vapp(X2,X4) ),
inference(split_conjunct,[status(thm)],[i_0_141]),
[final] ).
cnf(i_0_552,plain,
( X1 = X2
| vapp(X3,X1) != vapp(X4,X2) ),
inference(split_conjunct,[status(thm)],[i_0_141]),
[final] ).
cnf(i_0_553,plain,
( X3 = X4
| ~ visFreeVar(X1,X2)
| X1 != X4
| X2 != vvar(X3) ),
inference(split_conjunct,[status(thm)],[i_0_142]),
[final] ).
cnf(i_0_554,plain,
( X4 = vnoType
| X1 != X2
| X3 != vempty
| X4 != vlookup(X1,X3) ),
inference(split_conjunct,[status(thm)],[i_0_143]),
[final] ).
cnf(i_0_555,plain,
( X1 != vapp(X2,X3)
| ~ visValue(X1) ),
inference(split_conjunct,[status(thm)],[i_0_144]),
[final] ).
cnf(i_0_556,plain,
( vgensym(X1) != X2
| ~ visFreeVar(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_145]),
[final] ).
cnf(i_0_557,plain,
( visFreeVar(X3,X4)
| X1 != X2
| X3 != X2
| X4 != vvar(X1) ),
inference(split_conjunct,[status(thm)],[i_0_142]),
[final] ).
cnf(i_0_558,plain,
vvar(X1) != vapp(X2,X3),
inference(split_conjunct,[status(thm)],[i_0_146]),
[final] ).
cnf(i_0_559,plain,
( X1 = vnoExp
| epred4_2(X1,X2)
| vreduce(X2) != X1 ),
inference(split_conjunct,[status(thm)],[i_0_122]),
[final] ).
cnf(i_0_560,plain,
( X3 = X2
| X1 != vsomeExp(X2)
| X3 != vgetSomeExp(X1) ),
inference(split_conjunct,[status(thm)],[i_0_147]),
[final] ).
cnf(i_0_561,plain,
( X3 = X2
| X1 != vsomeType(X2)
| X3 != vgetSomeType(X1) ),
inference(split_conjunct,[status(thm)],[i_0_148]),
[final] ).
cnf(i_0_562,plain,
( X3 = vnoExp
| X1 != vvar(X2)
| X3 != vreduce(X1) ),
inference(split_conjunct,[status(thm)],[i_0_149]),
[final] ).
cnf(i_0_563,negated_conjecture,
~ visFreeVar(esk36_0,esk35_0),
inference(split_conjunct,[status(thm)],[i_0_98]),
[final] ).
cnf(i_0_564,plain,
( X1 != vvar(X2)
| ~ visValue(X1) ),
inference(split_conjunct,[status(thm)],[i_0_150]),
[final] ).
cnf(i_0_565,plain,
( X1 = X2
| vsomeExp(X1) != vsomeExp(X2) ),
inference(split_conjunct,[status(thm)],[i_0_151]),
[final] ).
cnf(i_0_566,plain,
( X1 = X2
| vsomeType(X1) != vsomeType(X2) ),
inference(split_conjunct,[status(thm)],[i_0_152]),
[final] ).
cnf(i_0_567,plain,
( X1 = X2
| vvar(X1) != vvar(X2) ),
inference(split_conjunct,[status(thm)],[i_0_153]),
[final] ).
cnf(i_0_568,plain,
( visSomeExp(X1)
| X1 != vsomeExp(X2) ),
inference(split_conjunct,[status(thm)],[i_0_154]),
[final] ).
cnf(i_0_569,plain,
( visSomeType(X1)
| X1 != vsomeType(X2) ),
inference(split_conjunct,[status(thm)],[i_0_155]),
[final] ).
cnf(i_0_570,plain,
( X1 != vnoExp
| ~ visSomeExp(X1) ),
inference(split_conjunct,[status(thm)],[i_0_156]),
[final] ).
cnf(i_0_571,plain,
( X1 != vnoType
| ~ visSomeType(X1) ),
inference(split_conjunct,[status(thm)],[i_0_157]),
[final] ).
cnf(i_0_572,plain,
vnoExp != vsomeExp(X1),
inference(split_conjunct,[status(thm)],[i_0_158]),
[final] ).
cnf(i_0_573,plain,
vnoType != vsomeType(X1),
inference(split_conjunct,[status(thm)],[i_0_159]),
[final] ).
cnf(i_0_574,negated_conjecture,
esk34_0 != esk36_0,
inference(split_conjunct,[status(thm)],[i_0_98]),
[final] ).
cnf(i_0_575,axiom,
X1 = X1 ).
cnf(i_0_576,axiom,
( X1 = X2
| X2 != X1 ) ).
cnf(i_0_577,axiom,
( X1 = X2
| X1 != X3
| X3 != X2 ) ).
cnf(i_0_578,axiom,
( X1 != X2
| vsubst(X1,X3,X4) = vsubst(X2,X3,X4) ) ).
cnf(i_0_579,axiom,
( X1 != X2
| vsubst(X3,X1,X4) = vsubst(X3,X2,X4) ) ).
cnf(i_0_580,axiom,
( X1 != X2
| vsubst(X3,X4,X1) = vsubst(X3,X4,X2) ) ).
cnf(i_0_581,axiom,
( X1 != X2
| esk51_4(X1,X3,X4,X5) = esk51_4(X2,X3,X4,X5) ) ).
cnf(i_0_582,axiom,
( X1 != X2
| esk51_4(X3,X1,X4,X5) = esk51_4(X3,X2,X4,X5) ) ).
cnf(i_0_583,axiom,
( X1 != X2
| esk51_4(X3,X4,X1,X5) = esk51_4(X3,X4,X2,X5) ) ).
cnf(i_0_584,axiom,
( X1 != X2
| esk51_4(X3,X4,X5,X1) = esk51_4(X3,X4,X5,X2) ) ).
cnf(i_0_585,axiom,
( X1 != X2
| vapp(X1,X3) = vapp(X2,X3) ) ).
cnf(i_0_586,axiom,
( X1 != X2
| vapp(X3,X1) = vapp(X3,X2) ) ).
cnf(i_0_587,axiom,
( X1 != X2
| esk46_4(X1,X3,X4,X5) = esk46_4(X2,X3,X4,X5) ) ).
cnf(i_0_588,axiom,
( X1 != X2
| esk46_4(X3,X1,X4,X5) = esk46_4(X3,X2,X4,X5) ) ).
cnf(i_0_589,axiom,
( X1 != X2
| esk46_4(X3,X4,X1,X5) = esk46_4(X3,X4,X2,X5) ) ).
cnf(i_0_590,axiom,
( X1 != X2
| esk46_4(X3,X4,X5,X1) = esk46_4(X3,X4,X5,X2) ) ).
cnf(i_0_591,axiom,
( X1 != X2
| esk47_4(X1,X3,X4,X5) = esk47_4(X2,X3,X4,X5) ) ).
cnf(i_0_592,axiom,
( X1 != X2
| esk47_4(X3,X1,X4,X5) = esk47_4(X3,X2,X4,X5) ) ).
cnf(i_0_593,axiom,
( X1 != X2
| esk47_4(X3,X4,X1,X5) = esk47_4(X3,X4,X2,X5) ) ).
cnf(i_0_594,axiom,
( X1 != X2
| esk47_4(X3,X4,X5,X1) = esk47_4(X3,X4,X5,X2) ) ).
cnf(i_0_595,axiom,
( X1 != X2
| esk50_4(X1,X3,X4,X5) = esk50_4(X2,X3,X4,X5) ) ).
cnf(i_0_596,axiom,
( X1 != X2
| esk50_4(X3,X1,X4,X5) = esk50_4(X3,X2,X4,X5) ) ).
cnf(i_0_597,axiom,
( X1 != X2
| esk50_4(X3,X4,X1,X5) = esk50_4(X3,X4,X2,X5) ) ).
cnf(i_0_598,axiom,
( X1 != X2
| esk50_4(X3,X4,X5,X1) = esk50_4(X3,X4,X5,X2) ) ).
cnf(i_0_599,axiom,
( X1 != X2
| esk49_4(X1,X3,X4,X5) = esk49_4(X2,X3,X4,X5) ) ).
cnf(i_0_600,axiom,
( X1 != X2
| esk49_4(X3,X1,X4,X5) = esk49_4(X3,X2,X4,X5) ) ).
cnf(i_0_601,axiom,
( X1 != X2
| esk49_4(X3,X4,X1,X5) = esk49_4(X3,X4,X2,X5) ) ).
cnf(i_0_602,axiom,
( X1 != X2
| esk49_4(X3,X4,X5,X1) = esk49_4(X3,X4,X5,X2) ) ).
cnf(i_0_603,axiom,
( X1 != X2
| esk54_4(X1,X3,X4,X5) = esk54_4(X2,X3,X4,X5) ) ).
cnf(i_0_604,axiom,
( X1 != X2
| esk54_4(X3,X1,X4,X5) = esk54_4(X3,X2,X4,X5) ) ).
cnf(i_0_605,axiom,
( X1 != X2
| esk54_4(X3,X4,X1,X5) = esk54_4(X3,X4,X2,X5) ) ).
cnf(i_0_606,axiom,
( X1 != X2
| esk54_4(X3,X4,X5,X1) = esk54_4(X3,X4,X5,X2) ) ).
cnf(i_0_607,axiom,
( X1 != X2
| vgensym(X1) = vgensym(X2) ) ).
cnf(i_0_608,axiom,
( X1 != X2
| vsomeExp(X1) = vsomeExp(X2) ) ).
cnf(i_0_609,axiom,
( X1 != X2
| vgetSomeExp(X1) = vgetSomeExp(X2) ) ).
cnf(i_0_610,axiom,
( X1 != X2
| vreduce(X1) = vreduce(X2) ) ).
cnf(i_0_611,axiom,
( X1 != X2
| esk10_4(X1,X3,X4,X5) = esk10_4(X2,X3,X4,X5) ) ).
cnf(i_0_612,axiom,
( X1 != X2
| esk10_4(X3,X1,X4,X5) = esk10_4(X3,X2,X4,X5) ) ).
cnf(i_0_613,axiom,
( X1 != X2
| esk10_4(X3,X4,X1,X5) = esk10_4(X3,X4,X2,X5) ) ).
cnf(i_0_614,axiom,
( X1 != X2
| esk10_4(X3,X4,X5,X1) = esk10_4(X3,X4,X5,X2) ) ).
cnf(i_0_615,axiom,
( X1 != X2
| esk12_4(X1,X3,X4,X5) = esk12_4(X2,X3,X4,X5) ) ).
cnf(i_0_616,axiom,
( X1 != X2
| esk12_4(X3,X1,X4,X5) = esk12_4(X3,X2,X4,X5) ) ).
cnf(i_0_617,axiom,
( X1 != X2
| esk12_4(X3,X4,X1,X5) = esk12_4(X3,X4,X2,X5) ) ).
cnf(i_0_618,axiom,
( X1 != X2
| esk12_4(X3,X4,X5,X1) = esk12_4(X3,X4,X5,X2) ) ).
cnf(i_0_619,axiom,
( X1 != X2
| esk55_4(X1,X3,X4,X5) = esk55_4(X2,X3,X4,X5) ) ).
cnf(i_0_620,axiom,
( X1 != X2
| esk55_4(X3,X1,X4,X5) = esk55_4(X3,X2,X4,X5) ) ).
cnf(i_0_621,axiom,
( X1 != X2
| esk55_4(X3,X4,X1,X5) = esk55_4(X3,X4,X2,X5) ) ).
cnf(i_0_622,axiom,
( X1 != X2
| esk55_4(X3,X4,X5,X1) = esk55_4(X3,X4,X5,X2) ) ).
cnf(i_0_623,axiom,
( X1 != X2
| esk13_4(X1,X3,X4,X5) = esk13_4(X2,X3,X4,X5) ) ).
cnf(i_0_624,axiom,
( X1 != X2
| esk13_4(X3,X1,X4,X5) = esk13_4(X3,X2,X4,X5) ) ).
cnf(i_0_625,axiom,
( X1 != X2
| esk13_4(X3,X4,X1,X5) = esk13_4(X3,X4,X2,X5) ) ).
cnf(i_0_626,axiom,
( X1 != X2
| esk13_4(X3,X4,X5,X1) = esk13_4(X3,X4,X5,X2) ) ).
cnf(i_0_627,axiom,
( X1 != X2
| esk40_4(X1,X3,X4,X5) = esk40_4(X2,X3,X4,X5) ) ).
cnf(i_0_628,axiom,
( X1 != X2
| esk40_4(X3,X1,X4,X5) = esk40_4(X3,X2,X4,X5) ) ).
cnf(i_0_629,axiom,
( X1 != X2
| esk40_4(X3,X4,X1,X5) = esk40_4(X3,X4,X2,X5) ) ).
cnf(i_0_630,axiom,
( X1 != X2
| esk40_4(X3,X4,X5,X1) = esk40_4(X3,X4,X5,X2) ) ).
cnf(i_0_631,axiom,
( X1 != X2
| esk43_4(X1,X3,X4,X5) = esk43_4(X2,X3,X4,X5) ) ).
cnf(i_0_632,axiom,
( X1 != X2
| esk43_4(X3,X1,X4,X5) = esk43_4(X3,X2,X4,X5) ) ).
cnf(i_0_633,axiom,
( X1 != X2
| esk43_4(X3,X4,X1,X5) = esk43_4(X3,X4,X2,X5) ) ).
cnf(i_0_634,axiom,
( X1 != X2
| esk43_4(X3,X4,X5,X1) = esk43_4(X3,X4,X5,X2) ) ).
cnf(i_0_635,axiom,
( X1 != X2
| esk44_4(X1,X3,X4,X5) = esk44_4(X2,X3,X4,X5) ) ).
cnf(i_0_636,axiom,
( X1 != X2
| esk44_4(X3,X1,X4,X5) = esk44_4(X3,X2,X4,X5) ) ).
cnf(i_0_637,axiom,
( X1 != X2
| esk44_4(X3,X4,X1,X5) = esk44_4(X3,X4,X2,X5) ) ).
cnf(i_0_638,axiom,
( X1 != X2
| esk44_4(X3,X4,X5,X1) = esk44_4(X3,X4,X5,X2) ) ).
cnf(i_0_639,axiom,
( X1 != X2
| esk39_4(X1,X3,X4,X5) = esk39_4(X2,X3,X4,X5) ) ).
cnf(i_0_640,axiom,
( X1 != X2
| esk39_4(X3,X1,X4,X5) = esk39_4(X3,X2,X4,X5) ) ).
cnf(i_0_641,axiom,
( X1 != X2
| esk39_4(X3,X4,X1,X5) = esk39_4(X3,X4,X2,X5) ) ).
cnf(i_0_642,axiom,
( X1 != X2
| esk39_4(X3,X4,X5,X1) = esk39_4(X3,X4,X5,X2) ) ).
cnf(i_0_643,axiom,
( X1 != X2
| esk41_4(X1,X3,X4,X5) = esk41_4(X2,X3,X4,X5) ) ).
cnf(i_0_644,axiom,
( X1 != X2
| esk41_4(X3,X1,X4,X5) = esk41_4(X3,X2,X4,X5) ) ).
cnf(i_0_645,axiom,
( X1 != X2
| esk41_4(X3,X4,X1,X5) = esk41_4(X3,X4,X2,X5) ) ).
cnf(i_0_646,axiom,
( X1 != X2
| esk41_4(X3,X4,X5,X1) = esk41_4(X3,X4,X5,X2) ) ).
cnf(i_0_647,axiom,
( X1 != X2
| vabs(X1,X3,X4) = vabs(X2,X3,X4) ) ).
cnf(i_0_648,axiom,
( X1 != X2
| vabs(X3,X1,X4) = vabs(X3,X2,X4) ) ).
cnf(i_0_649,axiom,
( X1 != X2
| vabs(X3,X4,X1) = vabs(X3,X4,X2) ) ).
cnf(i_0_650,axiom,
( X1 != X2
| varrow(X1,X3) = varrow(X2,X3) ) ).
cnf(i_0_651,axiom,
( X1 != X2
| varrow(X3,X1) = varrow(X3,X2) ) ).
cnf(i_0_652,axiom,
( X1 != X2
| vbind(X1,X3,X4) = vbind(X2,X3,X4) ) ).
cnf(i_0_653,axiom,
( X1 != X2
| vbind(X3,X1,X4) = vbind(X3,X2,X4) ) ).
cnf(i_0_654,axiom,
( X1 != X2
| vbind(X3,X4,X1) = vbind(X3,X4,X2) ) ).
cnf(i_0_655,axiom,
( X1 != X2
| vlookup(X1,X3) = vlookup(X2,X3) ) ).
cnf(i_0_656,axiom,
( X1 != X2
| vlookup(X3,X1) = vlookup(X3,X2) ) ).
cnf(i_0_657,axiom,
( X1 != X2
| esk58_4(X1,X3,X4,X5) = esk58_4(X2,X3,X4,X5) ) ).
cnf(i_0_658,axiom,
( X1 != X2
| esk58_4(X3,X1,X4,X5) = esk58_4(X3,X2,X4,X5) ) ).
cnf(i_0_659,axiom,
( X1 != X2
| esk58_4(X3,X4,X1,X5) = esk58_4(X3,X4,X2,X5) ) ).
cnf(i_0_660,axiom,
( X1 != X2
| esk58_4(X3,X4,X5,X1) = esk58_4(X3,X4,X5,X2) ) ).
cnf(i_0_661,axiom,
( X1 != X2
| vsomeType(X1) = vsomeType(X2) ) ).
cnf(i_0_662,axiom,
( X1 != X2
| esk68_2(X1,X3) = esk68_2(X2,X3) ) ).
cnf(i_0_663,axiom,
( X1 != X2
| esk68_2(X3,X1) = esk68_2(X3,X2) ) ).
cnf(i_0_664,axiom,
( X1 != X2
| esk42_4(X1,X3,X4,X5) = esk42_4(X2,X3,X4,X5) ) ).
cnf(i_0_665,axiom,
( X1 != X2
| esk42_4(X3,X1,X4,X5) = esk42_4(X3,X2,X4,X5) ) ).
cnf(i_0_666,axiom,
( X1 != X2
| esk42_4(X3,X4,X1,X5) = esk42_4(X3,X4,X2,X5) ) ).
cnf(i_0_667,axiom,
( X1 != X2
| esk42_4(X3,X4,X5,X1) = esk42_4(X3,X4,X5,X2) ) ).
cnf(i_0_668,axiom,
( X1 != X2
| esk70_2(X1,X3) = esk70_2(X2,X3) ) ).
cnf(i_0_669,axiom,
( X1 != X2
| esk70_2(X3,X1) = esk70_2(X3,X2) ) ).
cnf(i_0_670,axiom,
( X1 != X2
| esk7_3(X1,X3,X4) = esk7_3(X2,X3,X4) ) ).
cnf(i_0_671,axiom,
( X1 != X2
| esk7_3(X3,X1,X4) = esk7_3(X3,X2,X4) ) ).
cnf(i_0_672,axiom,
( X1 != X2
| esk7_3(X3,X4,X1) = esk7_3(X3,X4,X2) ) ).
cnf(i_0_673,axiom,
( X1 != X2
| esk4_3(X1,X3,X4) = esk4_3(X2,X3,X4) ) ).
cnf(i_0_674,axiom,
( X1 != X2
| esk4_3(X3,X1,X4) = esk4_3(X3,X2,X4) ) ).
cnf(i_0_675,axiom,
( X1 != X2
| esk4_3(X3,X4,X1) = esk4_3(X3,X4,X2) ) ).
cnf(i_0_676,axiom,
( X1 != X2
| esk57_4(X1,X3,X4,X5) = esk57_4(X2,X3,X4,X5) ) ).
cnf(i_0_677,axiom,
( X1 != X2
| esk57_4(X3,X1,X4,X5) = esk57_4(X3,X2,X4,X5) ) ).
cnf(i_0_678,axiom,
( X1 != X2
| esk57_4(X3,X4,X1,X5) = esk57_4(X3,X4,X2,X5) ) ).
cnf(i_0_679,axiom,
( X1 != X2
| esk57_4(X3,X4,X5,X1) = esk57_4(X3,X4,X5,X2) ) ).
cnf(i_0_680,axiom,
( X1 != X2
| esk1_3(X1,X3,X4) = esk1_3(X2,X3,X4) ) ).
cnf(i_0_681,axiom,
( X1 != X2
| esk1_3(X3,X1,X4) = esk1_3(X3,X2,X4) ) ).
cnf(i_0_682,axiom,
( X1 != X2
| esk1_3(X3,X4,X1) = esk1_3(X3,X4,X2) ) ).
cnf(i_0_683,axiom,
( X1 != X2
| esk8_3(X1,X3,X4) = esk8_3(X2,X3,X4) ) ).
cnf(i_0_684,axiom,
( X1 != X2
| esk8_3(X3,X1,X4) = esk8_3(X3,X2,X4) ) ).
cnf(i_0_685,axiom,
( X1 != X2
| esk8_3(X3,X4,X1) = esk8_3(X3,X4,X2) ) ).
cnf(i_0_686,axiom,
( X1 != X2
| esk3_3(X1,X3,X4) = esk3_3(X2,X3,X4) ) ).
cnf(i_0_687,axiom,
( X1 != X2
| esk3_3(X3,X1,X4) = esk3_3(X3,X2,X4) ) ).
cnf(i_0_688,axiom,
( X1 != X2
| esk3_3(X3,X4,X1) = esk3_3(X3,X4,X2) ) ).
cnf(i_0_689,axiom,
( X1 != X2
| esk80_2(X1,X3) = esk80_2(X2,X3) ) ).
cnf(i_0_690,axiom,
( X1 != X2
| esk80_2(X3,X1) = esk80_2(X3,X2) ) ).
cnf(i_0_691,axiom,
( X1 != X2
| vvar(X1) = vvar(X2) ) ).
cnf(i_0_692,axiom,
( X1 != X2
| esk79_2(X1,X3) = esk79_2(X2,X3) ) ).
cnf(i_0_693,axiom,
( X1 != X2
| esk79_2(X3,X1) = esk79_2(X3,X2) ) ).
cnf(i_0_694,axiom,
( X1 != X2
| esk77_2(X1,X3) = esk77_2(X2,X3) ) ).
cnf(i_0_695,axiom,
( X1 != X2
| esk77_2(X3,X1) = esk77_2(X3,X2) ) ).
cnf(i_0_696,axiom,
( X1 != X2
| esk22_2(X1,X3) = esk22_2(X2,X3) ) ).
cnf(i_0_697,axiom,
( X1 != X2
| esk22_2(X3,X1) = esk22_2(X3,X2) ) ).
cnf(i_0_698,axiom,
( X1 != X2
| esk23_2(X1,X3) = esk23_2(X2,X3) ) ).
cnf(i_0_699,axiom,
( X1 != X2
| esk23_2(X3,X1) = esk23_2(X3,X2) ) ).
cnf(i_0_700,axiom,
( X1 != X2
| vgetSomeType(X1) = vgetSomeType(X2) ) ).
cnf(i_0_701,axiom,
( X1 != X2
| ~ epred1_4(X1,X3,X4,X5)
| epred1_4(X2,X3,X4,X5) ) ).
cnf(i_0_702,axiom,
( X1 != X2
| ~ epred1_4(X3,X1,X4,X5)
| epred1_4(X3,X2,X4,X5) ) ).
cnf(i_0_703,axiom,
( X1 != X2
| ~ epred1_4(X3,X4,X1,X5)
| epred1_4(X3,X4,X2,X5) ) ).
cnf(i_0_704,axiom,
( X1 != X2
| ~ epred1_4(X3,X4,X5,X1)
| epred1_4(X3,X4,X5,X2) ) ).
cnf(i_0_705,axiom,
( X1 != X2
| ~ epred2_4(X1,X3,X4,X5)
| epred2_4(X2,X3,X4,X5) ) ).
cnf(i_0_706,axiom,
( X1 != X2
| ~ epred2_4(X3,X1,X4,X5)
| epred2_4(X3,X2,X4,X5) ) ).
cnf(i_0_707,axiom,
( X1 != X2
| ~ epred2_4(X3,X4,X1,X5)
| epred2_4(X3,X4,X2,X5) ) ).
cnf(i_0_708,axiom,
( X1 != X2
| ~ epred2_4(X3,X4,X5,X1)
| epred2_4(X3,X4,X5,X2) ) ).
cnf(i_0_709,axiom,
( X1 != X2
| ~ visFreeVar(X1,X3)
| visFreeVar(X2,X3) ) ).
cnf(i_0_710,axiom,
( X1 != X2
| ~ visFreeVar(X3,X1)
| visFreeVar(X3,X2) ) ).
cnf(i_0_711,axiom,
( X1 != X2
| ~ visSomeExp(X1)
| visSomeExp(X2) ) ).
cnf(i_0_712,axiom,
( X1 != X2
| ~ vtcheck(X1,X3,X4)
| vtcheck(X2,X3,X4) ) ).
cnf(i_0_713,axiom,
( X1 != X2
| ~ vtcheck(X3,X1,X4)
| vtcheck(X3,X2,X4) ) ).
cnf(i_0_714,axiom,
( X1 != X2
| ~ vtcheck(X3,X4,X1)
| vtcheck(X3,X4,X2) ) ).
cnf(i_0_715,axiom,
( X1 != X2
| ~ epred3_2(X1,X3)
| epred3_2(X2,X3) ) ).
cnf(i_0_716,axiom,
( X1 != X2
| ~ epred3_2(X3,X1)
| epred3_2(X3,X2) ) ).
cnf(i_0_717,axiom,
( X1 != X2
| ~ visValue(X1)
| visValue(X2) ) ).
cnf(i_0_718,axiom,
( X1 != X2
| ~ epred4_2(X1,X3)
| epred4_2(X2,X3) ) ).
cnf(i_0_719,axiom,
( X1 != X2
| ~ epred4_2(X3,X1)
| epred4_2(X3,X2) ) ).
cnf(i_0_720,axiom,
( X1 != X2
| ~ visSomeType(X1)
| visSomeType(X2) ) ).
cnf(i_0_762,plain,
X1 = X1,
inference(equality_inference,[],[495]) ).
cnf(i_0_763,plain,
X1 = X1,
inference(equality_inference,[],[496]) ).
cnf(i_0_764,plain,
X1 = X1,
inference(equality_inference,[],[497]) ).
cnf(i_0_765,plain,
X1 = X1,
inference(equality_inference,[],[498]) ).
cnf(i_0_766,plain,
X1 = X1,
inference(equality_inference,[],[499]) ).
cnf(i_0_767,plain,
X1 = X1,
inference(equality_inference,[],[500]) ).
cnf(i_0_770,plain,
visValue(vabs(X1,X2,X3)),
inference(equality_inference,[],[536]) ).
cnf(i_0_774,plain,
X1 = X1,
inference(equality_inference,[],[549]) ).
cnf(i_0_775,plain,
X1 = X1,
inference(equality_inference,[],[550]) ).
cnf(i_0_776,plain,
X1 = X1,
inference(equality_inference,[],[551]) ).
cnf(i_0_777,plain,
X1 = X1,
inference(equality_inference,[],[552]) ).
cnf(i_0_778,plain,
~ visValue(vapp(X1,X2)),
inference(equality_inference,[],[555]) ).
cnf(i_0_779,plain,
~ visFreeVar(vgensym(X1),X1),
inference(equality_inference,[],[556]) ).
cnf(i_0_781,plain,
~ visValue(vvar(X1)),
inference(equality_inference,[],[564]) ).
cnf(i_0_782,plain,
X1 = X1,
inference(equality_inference,[],[565]) ).
cnf(i_0_783,plain,
X1 = X1,
inference(equality_inference,[],[566]) ).
cnf(i_0_784,plain,
X1 = X1,
inference(equality_inference,[],[567]) ).
cnf(i_0_785,plain,
visSomeExp(vsomeExp(X1)),
inference(equality_inference,[],[568]) ).
cnf(i_0_786,plain,
visSomeType(vsomeType(X1)),
inference(equality_inference,[],[569]) ).
cnf(i_0_787,plain,
~ visSomeExp(vnoExp),
inference(equality_inference,[],[570]) ).
cnf(i_0_788,plain,
~ visSomeType(vnoType),
inference(equality_inference,[],[571]) ).
cnf(i_0_789,plain,
vtcheck(esk33_0,vabs(esk34_0,esk32_0,vabs(esk36_0,esk37_0,veabs)),varrow(esk32_0,esk38_0)),
inference(scs_inference,[],[i_0_475,i_0_423]) ).
cnf(i_0_792,plain,
vvar(X1) != vabs(X2,X3,X4),
inference(rename_variables,[],[i_0_535]) ).
cnf(i_0_795,plain,
vabs(X1,X2,X3) != vapp(X4,X5),
inference(rename_variables,[],[i_0_529]) ).
cnf(i_0_803,plain,
vvar(X1) != vabs(X2,X3,X4),
inference(rename_variables,[],[i_0_535]) ).
cnf(i_0_807,plain,
vvar(X1) != vapp(X2,X3),
inference(rename_variables,[],[i_0_558]) ).
cnf(i_0_810,plain,
vvar(X1) != vabs(X2,X3,X4),
inference(rename_variables,[],[i_0_535]) ).
cnf(i_0_813,plain,
vvar(X1) != vapp(X2,X3),
inference(rename_variables,[],[i_0_558]) ).
cnf(i_0_816,plain,
vempty != vbind(X1,X2,X3),
inference(rename_variables,[],[i_0_539]) ).
cnf(i_0_819,plain,
vempty != vbind(X1,X2,X3),
inference(rename_variables,[],[i_0_539]) ).
cnf(i_0_822,plain,
vvar(X1) != vabs(X2,X3,X4),
inference(rename_variables,[],[i_0_535]) ).
cnf(i_0_829,plain,
vempty != vbind(X1,X2,X3),
inference(rename_variables,[],[i_0_539]) ).
cnf(i_0_831,plain,
vvar(X1) != vabs(X2,X3,X4),
inference(rename_variables,[],[i_0_535]) ).
cnf(i_0_835,plain,
vabs(X1,X2,X3) != vapp(X4,X5),
inference(rename_variables,[],[i_0_529]) ).
cnf(i_0_838,plain,
vnoExp != vsomeExp(X1),
inference(rename_variables,[],[i_0_572]) ).
cnf(i_0_839,plain,
vabs(X1,X2,X3) != vapp(X4,X5),
inference(rename_variables,[],[i_0_529]) ).
cnf(i_0_841,plain,
vempty != vbind(X1,X2,X3),
inference(rename_variables,[],[i_0_539]) ).
cnf(i_0_842,plain,
vempty != vbind(X1,X2,X3),
inference(rename_variables,[],[i_0_539]) ).
cnf(i_0_855,plain,
vvar(X1) != vabs(X2,X3,X4),
inference(rename_variables,[],[i_0_535]) ).
cnf(i_0_889,plain,
vvar(X1) != vapp(X2,X3),
inference(rename_variables,[],[i_0_558]) ).
cnf(i_0_927,plain,
vabs(X1,X2,X3) != vapp(X4,X5),
inference(rename_variables,[],[i_0_529]) ).
cnf(i_0_940,plain,
vabs(X1,X2,X3) != vapp(X4,X5),
inference(rename_variables,[],[i_0_529]) ).
cnf(i_0_1043,plain,
vvar(X1) != vabs(X2,X3,X4),
inference(rename_variables,[],[i_0_535]) ).
cnf(i_0_1044,plain,
vvar(X1) != vapp(X2,X3),
inference(rename_variables,[],[i_0_558]) ).
cnf(i_0_1047,plain,
vempty != vbind(X1,X2,X3),
inference(rename_variables,[],[i_0_539]) ).
cnf(i_0_1051,plain,
vempty != vbind(X1,X2,X3),
inference(rename_variables,[],[i_0_539]) ).
cnf(i_0_1055,plain,
vempty != vbind(X1,X2,X3),
inference(rename_variables,[],[i_0_539]) ).
cnf(i_0_1059,plain,
vempty != vbind(X1,X2,X3),
inference(rename_variables,[],[i_0_539]) ).
cnf(i_0_1063,plain,
vempty != vbind(X1,X2,X3),
inference(rename_variables,[],[i_0_539]) ).
cnf(i_0_1067,plain,
vempty != vbind(X1,X2,X3),
inference(rename_variables,[],[i_0_539]) ).
cnf(i_0_1083,plain,
vempty != vbind(X1,X2,X3),
inference(rename_variables,[],[i_0_539]) ).
cnf(i_0_1087,plain,
vvar(X1) != vabs(X2,X3,X4),
inference(rename_variables,[],[i_0_535]) ).
cnf(i_0_1088,plain,
vvar(X1) != vapp(X2,X3),
inference(rename_variables,[],[i_0_558]) ).
cnf(i_0_1094,plain,
vvar(X1) != vabs(X2,X3,X4),
inference(rename_variables,[],[i_0_535]) ).
cnf(i_0_1148,plain,
vabs(X1,X2,X3) != vapp(X4,X5),
inference(rename_variables,[],[i_0_529]) ).
cnf(i_0_1151,plain,
vvar(X1) != vabs(X2,X3,X4),
inference(rename_variables,[],[i_0_535]) ).
cnf(i_0_1160,plain,
vabs(X1,X2,X3) != vapp(X4,X5),
inference(rename_variables,[],[i_0_529]) ).
cnf(i_0_1163,plain,
vnoType != vsomeType(X1),
inference(rename_variables,[],[i_0_573]) ).
cnf(i_0_1164,plain,
vempty != vbind(X1,X2,X3),
inference(rename_variables,[],[i_0_539]) ).
cnf(i_0_1183,plain,
vabs(X1,X2,X3) != vapp(X4,X5),
inference(rename_variables,[],[i_0_529]) ).
cnf(i_0_1191,plain,
vvar(X1) != vapp(X2,X3),
inference(rename_variables,[],[i_0_558]) ).
cnf(i_0_1193,plain,
vvar(X1) != vabs(X2,X3,X4),
inference(rename_variables,[],[i_0_535]) ).
cnf(i_0_1194,plain,
vvar(X1) != vabs(X2,X3,X4),
inference(rename_variables,[],[i_0_535]) ).
cnf(i_0_1196,plain,
vabs(X1,X2,X3) != vapp(X4,X5),
inference(rename_variables,[],[i_0_529]) ).
cnf(i_0_1199,plain,
vabs(X1,X2,X3) != vapp(X4,X5),
inference(rename_variables,[],[i_0_529]) ).
cnf(i_0_1204,plain,
vvar(X1) != vapp(X2,X3),
inference(rename_variables,[],[i_0_558]) ).
cnf(i_0_1223,plain,
vvar(X1) != vapp(X2,X3),
inference(rename_variables,[],[i_0_558]) ).
cnf(i_0_1229,plain,
vempty != vbind(X1,X2,X3),
inference(rename_variables,[],[i_0_539]) ).
cnf(i_0_1233,plain,
vabs(X1,X2,X3) != vapp(X4,X5),
inference(rename_variables,[],[i_0_529]) ).
cnf(i_0_1240,plain,
vabs(X1,X2,X3) != vapp(X4,X5),
inference(rename_variables,[],[i_0_529]) ).
cnf(i_0_1248,plain,
vnoType != vsomeType(X1),
inference(rename_variables,[],[i_0_573]) ).
cnf(i_0_1250,plain,
vnoType != vsomeType(X1),
inference(rename_variables,[],[i_0_573]) ).
cnf(i_0_1254,plain,
vvar(X1) != vapp(X2,X3),
inference(rename_variables,[],[i_0_558]) ).
cnf(i_0_1258,plain,
vempty != vbind(X1,X2,X3),
inference(rename_variables,[],[i_0_539]) ).
cnf(i_0_1268,plain,
vnoType != vsomeType(X1),
inference(rename_variables,[],[i_0_573]) ).
cnf(i_0_1269,plain,
vnoType != vsomeType(X1),
inference(rename_variables,[],[i_0_573]) ).
cnf(i_0_1278,plain,
vnoExp != vsomeExp(X1),
inference(rename_variables,[],[i_0_572]) ).
cnf(i_0_1280,plain,
vvar(X1) != vapp(X2,X3),
inference(rename_variables,[],[i_0_558]) ).
cnf(i_0_1283,plain,
vempty != vbind(X1,X2,X3),
inference(rename_variables,[],[i_0_539]) ).
cnf(i_0_1287,plain,
vvar(X1) != vabs(X2,X3,X4),
inference(rename_variables,[],[i_0_535]) ).
cnf(i_0_1294,plain,
vempty != vbind(X1,X2,X3),
inference(rename_variables,[],[i_0_539]) ).
cnf(i_0_1296,plain,
vabs(X1,X2,X3) != vapp(X4,X5),
inference(rename_variables,[],[i_0_529]) ).
cnf(i_0_1298,plain,
vvar(X1) != vabs(X2,X3,X4),
inference(rename_variables,[],[i_0_535]) ).
cnf(i_0_1306,plain,
vempty != vbind(X1,X2,X3),
inference(rename_variables,[],[i_0_539]) ).
cnf(i_0_1309,plain,
vnoType != vsomeType(X1),
inference(rename_variables,[],[i_0_573]) ).
cnf(i_0_1310,plain,
vempty != vbind(X1,X2,X3),
inference(rename_variables,[],[i_0_539]) ).
cnf(i_0_1350,plain,
vempty != vbind(X1,X2,X3),
inference(rename_variables,[],[i_0_539]) ).
cnf(i_0_1471,plain,
vempty != vbind(X1,X2,X3),
inference(rename_variables,[],[i_0_539]) ).
cnf(i_0_1499,plain,
vnoExp != vsomeExp(X1),
inference(rename_variables,[],[i_0_572]) ).
cnf(i_0_1500,plain,
vabs(X1,X2,X3) != vapp(X4,X5),
inference(rename_variables,[],[i_0_529]) ).
cnf(i_0_1503,plain,
vnoExp != vsomeExp(X1),
inference(rename_variables,[],[i_0_572]) ).
cnf(i_0_1504,plain,
vabs(X1,X2,X3) != vapp(X4,X5),
inference(rename_variables,[],[i_0_529]) ).
cnf(i_0_1520,plain,
vempty != vbind(X1,X2,X3),
inference(rename_variables,[],[i_0_539]) ).
cnf(i_0_1521,plain,
vempty != vbind(X1,X2,X3),
inference(rename_variables,[],[i_0_539]) ).
cnf(i_0_1572,plain,
vabs(X1,X2,X3) != vapp(X4,X5),
inference(rename_variables,[],[i_0_529]) ).
cnf(i_0_1573,plain,
vabs(X1,X2,X3) != vapp(X4,X5),
inference(rename_variables,[],[i_0_529]) ).
cnf(i_0_1589,plain,
vvar(X1) != vapp(X2,X3),
inference(rename_variables,[],[i_0_558]) ).
cnf(i_0_1590,plain,
vvar(X1) != vabs(X2,X3,X4),
inference(rename_variables,[],[i_0_535]) ).
cnf(i_0_1622,plain,
vvar(X1) != vapp(X2,X3),
inference(rename_variables,[],[i_0_558]) ).
cnf(i_0_1623,plain,
vvar(X1) != vabs(X2,X3,X4),
inference(rename_variables,[],[i_0_535]) ).
cnf(i_0_1632,plain,
vvar(X1) != vapp(X2,X3),
inference(rename_variables,[],[i_0_558]) ).
cnf(i_0_1633,plain,
vvar(X1) != vabs(X2,X3,X4),
inference(rename_variables,[],[i_0_535]) ).
cnf(i_0_1636,plain,
vnoExp != vsomeExp(X1),
inference(rename_variables,[],[i_0_572]) ).
cnf(i_0_1637,plain,
vnoExp != vsomeExp(X1),
inference(rename_variables,[],[i_0_572]) ).
cnf(i_0_1639,plain,
vvar(X1) != vapp(X2,X3),
inference(rename_variables,[],[i_0_558]) ).
cnf(i_0_1640,plain,
vvar(X1) != vabs(X2,X3,X4),
inference(rename_variables,[],[i_0_535]) ).
cnf(i_0_1646,plain,
vempty != vbind(X1,X2,X3),
inference(rename_variables,[],[i_0_539]) ).
cnf(i_0_1650,plain,
vempty != vbind(X1,X2,X3),
inference(rename_variables,[],[i_0_539]) ).
cnf(i_0_1653,plain,
vempty != vbind(X1,X2,X3),
inference(rename_variables,[],[i_0_539]) ).
cnf(i_0_1658,plain,
vempty != vbind(X1,X2,X3),
inference(rename_variables,[],[i_0_539]) ).
cnf(i_0_1663,plain,
vvar(X1) != vapp(X2,X3),
inference(rename_variables,[],[i_0_558]) ).
cnf(i_0_1664,plain,
vvar(X1) != vabs(X2,X3,X4),
inference(rename_variables,[],[i_0_535]) ).
cnf(i_0_1674,plain,
vempty != vbind(X1,X2,X3),
inference(rename_variables,[],[i_0_539]) ).
cnf(i_0_1675,plain,
vempty != vbind(X1,X2,X3),
inference(rename_variables,[],[i_0_539]) ).
cnf(i_0_1678,plain,
vvar(X1) != vabs(X2,X3,X4),
inference(rename_variables,[],[i_0_535]) ).
cnf(i_0_1679,plain,
vvar(X1) != vapp(X2,X3),
inference(rename_variables,[],[i_0_558]) ).
cnf(i_0_1685,plain,
vnoExp != vsomeExp(X1),
inference(rename_variables,[],[i_0_572]) ).
cnf(i_0_1686,plain,
vvar(X1) != vabs(X2,X3,X4),
inference(rename_variables,[],[i_0_535]) ).
cnf(i_0_1687,plain,
vvar(X1) != vapp(X2,X3),
inference(rename_variables,[],[i_0_558]) ).
cnf(i_0_1703,plain,
vvar(X1) != vabs(X2,X3,X4),
inference(rename_variables,[],[i_0_535]) ).
cnf(i_0_1713,plain,
vnoExp != vsomeExp(X1),
inference(rename_variables,[],[i_0_572]) ).
cnf(i_0_1714,plain,
vabs(X1,X2,X3) != vapp(X4,X5),
inference(rename_variables,[],[i_0_529]) ).
cnf(i_0_1738,plain,
vabs(X1,X2,X3) != vapp(X4,X5),
inference(rename_variables,[],[i_0_529]) ).
cnf(i_0_1739,plain,
vvar(X1) != vabs(X2,X3,X4),
inference(rename_variables,[],[i_0_535]) ).
cnf(i_0_1741,plain,
vvar(X1) != vabs(X2,X3,X4),
inference(rename_variables,[],[i_0_535]) ).
cnf(i_0_1744,plain,
vvar(X1) != vabs(X2,X3,X4),
inference(rename_variables,[],[i_0_535]) ).
cnf(i_0_1745,plain,
vvar(X1) != vabs(X2,X3,X4),
inference(rename_variables,[],[i_0_535]) ).
cnf(i_0_1756,plain,
vnoExp != vsomeExp(X1),
inference(rename_variables,[],[i_0_572]) ).
cnf(i_0_1757,plain,
vnoExp != vsomeExp(X1),
inference(rename_variables,[],[i_0_572]) ).
cnf(i_0_1758,plain,
vnoExp != vsomeExp(X1),
inference(rename_variables,[],[i_0_572]) ).
cnf(i_0_1770,plain,
vabs(X1,X2,X3) != vapp(X4,X5),
inference(rename_variables,[],[i_0_529]) ).
cnf(i_0_1771,plain,
vvar(X1) != vabs(X2,X3,X4),
inference(rename_variables,[],[i_0_535]) ).
cnf(i_0_1773,plain,
vvar(X1) != vabs(X2,X3,X4),
inference(rename_variables,[],[i_0_535]) ).
cnf(i_0_1776,plain,
vvar(X1) != vabs(X2,X3,X4),
inference(rename_variables,[],[i_0_535]) ).
cnf(i_0_1777,plain,
vvar(X1) != vabs(X2,X3,X4),
inference(rename_variables,[],[i_0_535]) ).
cnf(i_0_1787,plain,
vnoExp != vsomeExp(X1),
inference(rename_variables,[],[i_0_572]) ).
cnf(i_0_1788,plain,
vnoExp != vsomeExp(X1),
inference(rename_variables,[],[i_0_572]) ).
cnf(i_0_1789,plain,
vnoExp != vsomeExp(X1),
inference(rename_variables,[],[i_0_572]) ).
cnf(i_0_1800,plain,
vabs(X1,X2,X3) != vapp(X4,X5),
inference(rename_variables,[],[i_0_529]) ).
cnf(i_0_1801,plain,
vvar(X1) != vabs(X2,X3,X4),
inference(rename_variables,[],[i_0_535]) ).
cnf(i_0_1803,plain,
vvar(X1) != vabs(X2,X3,X4),
inference(rename_variables,[],[i_0_535]) ).
cnf(i_0_1806,plain,
vvar(X1) != vabs(X2,X3,X4),
inference(rename_variables,[],[i_0_535]) ).
cnf(i_0_1807,plain,
vvar(X1) != vabs(X2,X3,X4),
inference(rename_variables,[],[i_0_535]) ).
cnf(i_0_1817,plain,
vnoExp != vsomeExp(X1),
inference(rename_variables,[],[i_0_572]) ).
cnf(i_0_1818,plain,
vnoExp != vsomeExp(X1),
inference(rename_variables,[],[i_0_572]) ).
cnf(i_0_1819,plain,
vnoExp != vsomeExp(X1),
inference(rename_variables,[],[i_0_572]) ).
cnf(i_0_1830,plain,
vabs(X1,X2,X3) != vapp(X4,X5),
inference(rename_variables,[],[i_0_529]) ).
cnf(i_0_1831,plain,
vvar(X1) != vabs(X2,X3,X4),
inference(rename_variables,[],[i_0_535]) ).
cnf(i_0_1833,plain,
vvar(X1) != vabs(X2,X3,X4),
inference(rename_variables,[],[i_0_535]) ).
cnf(i_0_1836,plain,
vvar(X1) != vabs(X2,X3,X4),
inference(rename_variables,[],[i_0_535]) ).
cnf(i_0_1837,plain,
vvar(X1) != vabs(X2,X3,X4),
inference(rename_variables,[],[i_0_535]) ).
cnf(i_0_1847,plain,
vnoExp != vsomeExp(X1),
inference(rename_variables,[],[i_0_572]) ).
cnf(i_0_1848,plain,
vnoExp != vsomeExp(X1),
inference(rename_variables,[],[i_0_572]) ).
cnf(i_0_1849,plain,
vnoExp != vsomeExp(X1),
inference(rename_variables,[],[i_0_572]) ).
cnf(i_0_1860,plain,
vabs(X1,X2,X3) != vapp(X4,X5),
inference(rename_variables,[],[i_0_529]) ).
cnf(i_0_1861,plain,
vvar(X1) != vabs(X2,X3,X4),
inference(rename_variables,[],[i_0_535]) ).
cnf(i_0_1863,plain,
vvar(X1) != vabs(X2,X3,X4),
inference(rename_variables,[],[i_0_535]) ).
cnf(i_0_1866,plain,
vvar(X1) != vabs(X2,X3,X4),
inference(rename_variables,[],[i_0_535]) ).
cnf(i_0_1867,plain,
vvar(X1) != vabs(X2,X3,X4),
inference(rename_variables,[],[i_0_535]) ).
cnf(i_0_1877,plain,
vnoExp != vsomeExp(X1),
inference(rename_variables,[],[i_0_572]) ).
cnf(i_0_1878,plain,
vnoExp != vsomeExp(X1),
inference(rename_variables,[],[i_0_572]) ).
cnf(i_0_1879,plain,
vnoExp != vsomeExp(X1),
inference(rename_variables,[],[i_0_572]) ).
cnf(i_0_1890,plain,
vabs(X1,X2,X3) != vapp(X4,X5),
inference(rename_variables,[],[i_0_529]) ).
cnf(i_0_1891,plain,
vvar(X1) != vabs(X2,X3,X4),
inference(rename_variables,[],[i_0_535]) ).
cnf(i_0_1893,plain,
vvar(X1) != vabs(X2,X3,X4),
inference(rename_variables,[],[i_0_535]) ).
cnf(i_0_1896,plain,
vvar(X1) != vabs(X2,X3,X4),
inference(rename_variables,[],[i_0_535]) ).
cnf(i_0_1897,plain,
vvar(X1) != vabs(X2,X3,X4),
inference(rename_variables,[],[i_0_535]) ).
cnf(i_0_1907,plain,
vnoExp != vsomeExp(X1),
inference(rename_variables,[],[i_0_572]) ).
cnf(i_0_1908,plain,
vnoExp != vsomeExp(X1),
inference(rename_variables,[],[i_0_572]) ).
cnf(i_0_1909,plain,
vnoExp != vsomeExp(X1),
inference(rename_variables,[],[i_0_572]) ).
cnf(i_0_1920,plain,
vabs(X1,X2,X3) != vapp(X4,X5),
inference(rename_variables,[],[i_0_529]) ).
cnf(i_0_1921,plain,
vvar(X1) != vabs(X2,X3,X4),
inference(rename_variables,[],[i_0_535]) ).
cnf(i_0_1923,plain,
vvar(X1) != vabs(X2,X3,X4),
inference(rename_variables,[],[i_0_535]) ).
cnf(i_0_1926,plain,
vvar(X1) != vabs(X2,X3,X4),
inference(rename_variables,[],[i_0_535]) ).
cnf(i_0_1927,plain,
vvar(X1) != vabs(X2,X3,X4),
inference(rename_variables,[],[i_0_535]) ).
cnf(i_0_1937,plain,
vnoExp != vsomeExp(X1),
inference(rename_variables,[],[i_0_572]) ).
cnf(i_0_1938,plain,
vnoExp != vsomeExp(X1),
inference(rename_variables,[],[i_0_572]) ).
cnf(i_0_1939,plain,
vnoExp != vsomeExp(X1),
inference(rename_variables,[],[i_0_572]) ).
cnf(i_0_1950,plain,
vabs(X1,X2,X3) != vapp(X4,X5),
inference(rename_variables,[],[i_0_529]) ).
cnf(i_0_1951,plain,
vvar(X1) != vabs(X2,X3,X4),
inference(rename_variables,[],[i_0_535]) ).
cnf(i_0_1953,plain,
vvar(X1) != vabs(X2,X3,X4),
inference(rename_variables,[],[i_0_535]) ).
cnf(i_0_1956,plain,
vvar(X1) != vabs(X2,X3,X4),
inference(rename_variables,[],[i_0_535]) ).
cnf(i_0_1957,plain,
vvar(X1) != vabs(X2,X3,X4),
inference(rename_variables,[],[i_0_535]) ).
cnf(i_0_1967,plain,
vnoExp != vsomeExp(X1),
inference(rename_variables,[],[i_0_572]) ).
cnf(i_0_1968,plain,
vnoExp != vsomeExp(X1),
inference(rename_variables,[],[i_0_572]) ).
cnf(i_0_1969,plain,
vnoExp != vsomeExp(X1),
inference(rename_variables,[],[i_0_572]) ).
cnf(i_0_1980,plain,
vabs(X1,X2,X3) != vapp(X4,X5),
inference(rename_variables,[],[i_0_529]) ).
cnf(i_0_1981,plain,
vvar(X1) != vabs(X2,X3,X4),
inference(rename_variables,[],[i_0_535]) ).
cnf(i_0_1983,plain,
vvar(X1) != vabs(X2,X3,X4),
inference(rename_variables,[],[i_0_535]) ).
cnf(i_0_1986,plain,
vvar(X1) != vabs(X2,X3,X4),
inference(rename_variables,[],[i_0_535]) ).
cnf(i_0_1987,plain,
vvar(X1) != vabs(X2,X3,X4),
inference(rename_variables,[],[i_0_535]) ).
cnf(i_0_1997,plain,
vnoExp != vsomeExp(X1),
inference(rename_variables,[],[i_0_572]) ).
cnf(i_0_1998,plain,
vnoExp != vsomeExp(X1),
inference(rename_variables,[],[i_0_572]) ).
cnf(i_0_1999,plain,
vnoExp != vsomeExp(X1),
inference(rename_variables,[],[i_0_572]) ).
cnf(i_0_2010,plain,
vabs(X1,X2,X3) != vapp(X4,X5),
inference(rename_variables,[],[i_0_529]) ).
cnf(i_0_2011,plain,
vvar(X1) != vabs(X2,X3,X4),
inference(rename_variables,[],[i_0_535]) ).
cnf(i_0_2013,plain,
vvar(X1) != vabs(X2,X3,X4),
inference(rename_variables,[],[i_0_535]) ).
cnf(i_0_2016,plain,
vvar(X1) != vabs(X2,X3,X4),
inference(rename_variables,[],[i_0_535]) ).
cnf(i_0_2017,plain,
vvar(X1) != vabs(X2,X3,X4),
inference(rename_variables,[],[i_0_535]) ).
cnf(i_0_2027,plain,
vnoExp != vsomeExp(X1),
inference(rename_variables,[],[i_0_572]) ).
cnf(c_0_593,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_361 ).
cnf(c_0_594,negated_conjecture,
vtcheck(vbind(esk34_0,esk32_0,esk33_0),vabs(esk36_0,esk37_0,veabs),esk38_0),
i_0_475 ).
cnf(c_0_595,plain,
vabs(X1,X2,X3) != vapp(X4,X5),
i_0_529 ).
cnf(c_0_596,plain,
vvar(X1) != vabs(X2,X3,X4),
i_0_535 ).
cnf(c_0_597,plain,
( X1 = X2
| vabs(X1,X3,X4) != vabs(X2,X5,X6) ),
i_0_498 ).
cnf(c_0_598,negated_conjecture,
vabs(esk25_3(vabs(esk36_0,esk37_0,veabs),esk38_0,vbind(esk34_0,esk32_0,esk33_0)),esk27_3(vabs(esk36_0,esk37_0,veabs),esk38_0,vbind(esk34_0,esk32_0,esk33_0)),esk26_3(vabs(esk36_0,esk37_0,veabs),esk38_0,vbind(esk34_0,esk32_0,esk33_0))) = vabs(esk36_0,esk37_0,veabs),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_593,c_0_594]),c_0_595]),c_0_596]) ).
cnf(c_0_599,plain,
( X1 = esk25_3(vabs(esk36_0,esk37_0,veabs),esk38_0,vbind(esk34_0,esk32_0,esk33_0))
| vabs(X1,X2,X3) != vabs(esk36_0,esk37_0,veabs) ),
inference(spm,[status(thm)],[c_0_597,c_0_598]) ).
cnf(c_0_600,plain,
esk25_3(vabs(esk36_0,esk37_0,veabs),esk38_0,vbind(esk34_0,esk32_0,esk33_0)) = esk36_0,
inference(er,[status(thm)],[c_0_599]) ).
cnf(c_0_601,plain,
( X1 = X2
| vabs(X3,X1,X4) != vabs(X5,X2,X6) ),
i_0_499 ).
cnf(c_0_602,negated_conjecture,
vabs(esk36_0,esk27_3(vabs(esk36_0,esk37_0,veabs),esk38_0,vbind(esk34_0,esk32_0,esk33_0)),esk26_3(vabs(esk36_0,esk37_0,veabs),esk38_0,vbind(esk34_0,esk32_0,esk33_0))) = vabs(esk36_0,esk37_0,veabs),
inference(rw,[status(thm)],[c_0_598,c_0_600]) ).
cnf(c_0_603,plain,
( esk27_3(vabs(esk36_0,esk37_0,veabs),esk38_0,vbind(esk34_0,esk32_0,esk33_0)) = X1
| vabs(esk36_0,esk37_0,veabs) != vabs(X2,X1,X3) ),
inference(spm,[status(thm)],[c_0_601,c_0_602]) ).
cnf(c_0_604,plain,
esk27_3(vabs(esk36_0,esk37_0,veabs),esk38_0,vbind(esk34_0,esk32_0,esk33_0)) = esk37_0,
inference(er,[status(thm)],[c_0_603]) ).
cnf(c_0_605,plain,
( X1 = X2
| vabs(X3,X4,X1) != vabs(X5,X6,X2) ),
i_0_500 ).
cnf(c_0_606,negated_conjecture,
vabs(esk36_0,esk37_0,esk26_3(vabs(esk36_0,esk37_0,veabs),esk38_0,vbind(esk34_0,esk32_0,esk33_0))) = vabs(esk36_0,esk37_0,veabs),
inference(rw,[status(thm)],[c_0_602,c_0_604]) ).
cnf(c_0_607,plain,
( esk26_3(vabs(esk36_0,esk37_0,veabs),esk38_0,vbind(esk34_0,esk32_0,esk33_0)) = X1
| vabs(esk36_0,esk37_0,veabs) != vabs(X2,X3,X1) ),
inference(spm,[status(thm)],[c_0_605,c_0_606]) ).
cnf(c_0_608,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_381 ).
cnf(c_0_609,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_319 ).
cnf(c_0_610,plain,
esk26_3(vabs(esk36_0,esk37_0,veabs),esk38_0,vbind(esk34_0,esk32_0,esk33_0)) = veabs,
inference(er,[status(thm)],[c_0_607]) ).
cnf(c_0_611,negated_conjecture,
varrow(esk27_3(vabs(esk36_0,esk37_0,veabs),esk38_0,vbind(esk34_0,esk32_0,esk33_0)),esk28_3(vabs(esk36_0,esk37_0,veabs),esk38_0,vbind(esk34_0,esk32_0,esk33_0))) = esk38_0,
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_608,c_0_594]),c_0_595]),c_0_596]) ).
cnf(c_0_612,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_340 ).
cnf(c_0_613,negated_conjecture,
vtcheck(vbind(esk36_0,esk37_0,vbind(esk34_0,esk32_0,esk33_0)),veabs,esk28_3(vabs(esk36_0,esk37_0,veabs),esk38_0,vbind(esk34_0,esk32_0,esk33_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_609,c_0_594]),c_0_600]),c_0_604]),c_0_610]),c_0_595]),c_0_596]) ).
cnf(c_0_614,negated_conjecture,
esk34_0 != esk36_0,
i_0_574 ).
cnf(c_0_615,plain,
( X1 = X2
| visFreeVar(X2,X3)
| X4 = vabs(X2,X5,vsubst(X1,X3,X6))
| X7 != X1
| X8 != X3
| X9 != vabs(X2,X5,X6)
| X4 != vsubst(X7,X8,X9) ),
i_0_444 ).
cnf(c_0_616,plain,
( vtcheck(X1,vabs(X2,X3,X4),varrow(X3,X5))
| ~ vtcheck(vbind(X2,X3,X1),X4,X5) ),
i_0_423 ).
cnf(c_0_617,negated_conjecture,
varrow(esk37_0,esk28_3(vabs(esk36_0,esk37_0,veabs),esk38_0,vbind(esk34_0,esk32_0,esk33_0))) = esk38_0,
inference(rw,[status(thm)],[c_0_611,c_0_604]) ).
cnf(c_0_618,plain,
( vtcheck(X1,vsubst(X2,X3,veabs),X4)
| ~ vtcheck(X1,X3,X5)
| ~ vtcheck(vbind(X2,X5,X1),veabs,X4) ),
i_0_411 ).
cnf(c_0_619,plain,
vtcheck(vbind(esk34_0,esk32_0,vbind(esk36_0,esk37_0,esk33_0)),veabs,esk28_3(vabs(esk36_0,esk37_0,veabs),esk38_0,vbind(esk34_0,esk32_0,esk33_0))),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_612,c_0_613]),c_0_614]) ).
cnf(c_0_620,negated_conjecture,
~ visFreeVar(esk36_0,esk35_0),
i_0_563 ).
cnf(c_0_621,plain,
( vsubst(X1,X2,vabs(X3,X4,X5)) = vabs(X3,X4,vsubst(X1,X2,X5))
| X1 = X3
| visFreeVar(X3,X2) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_615])])])]) ).
cnf(c_0_622,plain,
( vtcheck(X1,vabs(X2,esk37_0,X3),esk38_0)
| ~ vtcheck(vbind(X2,esk37_0,X1),X3,esk28_3(vabs(esk36_0,esk37_0,veabs),esk38_0,vbind(esk34_0,esk32_0,esk33_0))) ),
inference(spm,[status(thm)],[c_0_616,c_0_617]) ).
cnf(c_0_623,plain,
( vtcheck(vbind(esk36_0,esk37_0,esk33_0),vsubst(esk34_0,X1,veabs),esk28_3(vabs(esk36_0,esk37_0,veabs),esk38_0,vbind(esk34_0,esk32_0,esk33_0)))
| ~ vtcheck(vbind(esk36_0,esk37_0,esk33_0),X1,esk32_0) ),
inference(spm,[status(thm)],[c_0_618,c_0_619]) ).
cnf(c_0_624,plain,
( visFreeVar(X1,X2)
| vtcheck(vbind(X1,X3,X4),X2,X5)
| ~ vtcheck(X4,X2,X5) ),
i_0_469 ).
cnf(c_0_625,negated_conjecture,
vtcheck(esk33_0,esk35_0,esk32_0),
i_0_548 ).
cnf(c_0_626,negated_conjecture,
~ vtcheck(esk33_0,vsubst(esk34_0,esk35_0,vabs(esk36_0,esk37_0,veabs)),esk38_0),
i_0_394 ).
cnf(c_0_627,negated_conjecture,
( vsubst(X1,esk35_0,vabs(esk36_0,X2,X3)) = vabs(esk36_0,X2,vsubst(X1,esk35_0,X3))
| X1 = esk36_0 ),
inference(spm,[status(thm)],[c_0_620,c_0_621]) ).
cnf(c_0_628,plain,
( vtcheck(esk33_0,vabs(esk36_0,esk37_0,vsubst(esk34_0,X1,veabs)),esk38_0)
| ~ vtcheck(vbind(esk36_0,esk37_0,esk33_0),X1,esk32_0) ),
inference(spm,[status(thm)],[c_0_622,c_0_623]) ).
cnf(c_0_629,negated_conjecture,
( vtcheck(vbind(X1,X2,esk33_0),esk35_0,esk32_0)
| visFreeVar(X1,esk35_0) ),
inference(spm,[status(thm)],[c_0_624,c_0_625]) ).
cnf(c_0_630,negated_conjecture,
~ vtcheck(esk33_0,vabs(esk36_0,esk37_0,vsubst(esk34_0,esk35_0,veabs)),esk38_0),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_626,c_0_627]),c_0_614]) ).
cnf(c_0_631,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_628,c_0_629]),c_0_630]),c_0_620]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : COM131+1 : TPTP v9.2.1. Released v6.4.0.
% 0.00/0.11 % Command : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.14/0.32 % Computer : n006.cluster.edu
% 0.14/0.32 % Model : x86_64 x86_64
% 0.14/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.32 % Memory : 8042.1875MB
% 0.14/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.32 % CPULimit : 300
% 0.14/0.32 % WCLimit : 300
% 0.14/0.32 % DateTime : Mon May 4 16:22:01 EDT 2026
% 0.14/0.32 % CPUTime :
% 0.14/0.33 % start to proof: theBenchmark
% 149.40/105.22 % Version : CSE_E---1.7
% 149.40/105.22 % Problem : theBenchmark.p
% 149.40/105.22 % SZS status Theorem for theBenchmark.p
% 149.40/105.22 % SZS output start CNFRefutation
% See solution above
% 165.90/121.72 % Total time : 104.290s
%------------------------------------------------------------------------------