%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : COM134+1 : TPTP v9.2.1. Released v6.4.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% Computer : n019.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 135.09s 98.14s
% Output : CNFRefutation 149.46s
% 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/sandbox/benchmark/Axioms/COM001+0.ax','subst-INV') ).
fof(reduce6,axiom,
! [X13,X12,X27,X4,X19] :
( ( X4 = vapp(X12,X13)
& ! [X28,X29,X30] : X12 != vabs(X28,X29,X30) )
=> ( ( X27 = vreduce(X12)
& ~ visSomeExp(X27) )
=> ( X19 = vreduce(X4)
=> X19 = vnoExp ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/COM001+0.ax',reduce6) ).
fof(subst5,axiom,
! [X1,X4,X6,X19,X21,X15,X9,X11,X12] :
( ( X1 = X9
& X4 = X11
& X6 = vabs(X21,X15,X12) )
=> ( ( X9 != X21
& ~ visFreeVar(X21,X11) )
=> ( X19 = vsubst(X1,X4,X6)
=> X19 = vabs(X21,X15,vsubst(X9,X11,X12)) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/COM001+0.ax',subst5) ).
fof(reduce3,axiom,
! [X10,X26,X4,X19,X9,X13,X12] :
( X4 = vapp(vabs(X9,X10,X12),X13)
=> ( ( X26 = vreduce(X13)
& ~ visSomeExp(X26)
& visValue(X13) )
=> ( X19 = vreduce(X4)
=> X19 = vsomeExp(vsubst(X9,X13,X12)) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/COM001+0.ax',reduce3) ).
fof('T-Strong',axiom,
! [X9,X10,X20,X11,X15] :
( ( ~ visFreeVar(X9,X11)
& vtcheck(vbind(X9,X10,X20),X11,X15) )
=> vtcheck(X20,X11,X15) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','T-Strong') ).
fof('T-subst-app',conjecture,
! [X15,X20,X9,X11,X34] :
( ( vtcheck(X20,X11,X15)
& vtcheck(vbind(X9,X15,X20),vapp(ve1,ve2),X34) )
=> vtcheck(X20,vsubst(X9,X11,vapp(ve1,ve2)),X34) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','T-subst-app') ).
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/sandbox/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/sandbox/benchmark/Axioms/COM001+0.ax',reduce4) ).
fof('reduce-INV',axiom,
! [X4,X19] :
( vreduce(X4) = X19
=> ( ? [X9] :
( X4 = vvar(X9)
& X19 = vnoExp )
| ? [X9,X10,X11] :
( X4 = vabs(X9,X10,X11)
& X19 = vnoExp )
| ? [X13,X9,X10,X12,X26] :
( X4 = vapp(vabs(X9,X10,X12),X13)
& X26 = vreduce(X13)
& visSomeExp(X26)
& X19 = vsomeExp(vapp(vabs(X9,X10,X12),vgetSomeExp(X26))) )
| ? [X10,X26,X9,X13,X12] :
( X4 = vapp(vabs(X9,X10,X12),X13)
& X26 = vreduce(X13)
& ~ visSomeExp(X26)
& visValue(X13)
& X19 = vsomeExp(vsubst(X9,X13,X12)) )
| ? [X9,X10,X12,X26,X13] :
( X4 = vapp(vabs(X9,X10,X12),X13)
& X26 = vreduce(X13)
& ~ visSomeExp(X26)
& ~ visValue(X13)
& X19 = vnoExp )
| ? [X12,X27,X13] :
( X4 = vapp(X12,X13)
& ! [X28,X29,X30] : X12 != vabs(X28,X29,X30)
& X27 = vreduce(X12)
& visSomeExp(X27)
& X19 = vsomeExp(vapp(vgetSomeExp(X27),X13)) )
| ? [X13,X12,X27] :
( X4 = vapp(X12,X13)
& ! [X28,X29,X30] : X12 != vabs(X28,X29,X30)
& X27 = vreduce(X12)
& ~ visSomeExp(X27)
& X19 = vnoExp ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/COM001+0.ax','reduce-INV') ).
fof(isValue2,axiom,
! [X12,X13,X4] :
( X4 = vapp(X12,X13)
=> ~ visValue(X4) ),
file('/export/starexec/sandbox/benchmark/Axioms/COM001+0.ax',isValue2) ).
fof('gensym-is-fresh',axiom,
! [X14,X11] :
( vgensym(X11) = X14
=> ~ visFreeVar(X14,X11) ),
file('/export/starexec/sandbox/benchmark/Axioms/COM001+0.ax','gensym-is-fresh') ).
fof(isValue1,axiom,
! [X9,X4] :
( X4 = vvar(X9)
=> ~ visValue(X4) ),
file('/export/starexec/sandbox/benchmark/Axioms/COM001+0.ax',isValue1) ).
fof(isSomeExp0,axiom,
! [X25] :
( X25 = vnoExp
=> ~ visSomeExp(X25) ),
file('/export/starexec/sandbox/benchmark/Axioms/COM001+0.ax',isSomeExp0) ).
fof(isSomeType0,axiom,
! [X18] :
( X18 = vnoType
=> ~ visSomeType(X18) ),
file('/export/starexec/sandbox/benchmark/Axioms/COM001+0.ax',isSomeType0) ).
fof(reduce5,axiom,
! [X12,X4,X19,X27,X13] :
( ( X4 = vapp(X12,X13)
& ! [X28,X29,X30] : X12 != vabs(X28,X29,X30) )
=> ( ( X27 = vreduce(X12)
& visSomeExp(X27) )
=> ( X19 = vreduce(X4)
=> X19 = vsomeExp(vapp(vgetSomeExp(X27),X13)) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/COM001+0.ax',reduce5) ).
fof('T-inv',axiom,
! [X11,X15,X20] :
( vtcheck(X20,X11,X15)
=> ( ? [X9] :
( X11 = vvar(X9)
& vlookup(X9,X20) = vsomeType(X15) )
| ? [X9,X13,X33,X34] :
( X11 = vabs(X9,X33,X13)
& X15 = varrow(X33,X34)
& vtcheck(vbind(X9,X33,X20),X13,X34) )
| ? [X12,X13,X10] :
( X11 = vapp(X12,X13)
& vtcheck(X20,X12,varrow(X10,X15))
& vtcheck(X20,X13,X10) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/COM001+0.ax','T-inv') ).
fof('T-Context-Swap',axiom,
! [X21,X22,X9,X23,X20,X11,X15] :
( ( X9 != X21
& vtcheck(vbind(X9,X23,vbind(X21,X22,X20)),X11,X15) )
=> vtcheck(vbind(X21,X22,vbind(X9,X23,X20)),X11,X15) ),
file('/export/starexec/sandbox/benchmark/Axioms/COM001+0.ax','T-Context-Swap') ).
fof('lookup-INV',axiom,
! [X1,X16,X19] :
( vlookup(X1,X16) = X19
=> ( ? [X9] :
( X1 = X9
& X16 = vempty
& X19 = vnoType )
| ? [X20,X9,X21,X22] :
( X1 = X9
& X16 = vbind(X21,X22,X20)
& X9 = X21
& X19 = vsomeType(X22) )
| ? [X22,X21,X9,X20] :
( X1 = X9
& X16 = vbind(X21,X22,X20)
& X9 != X21
& X19 = vlookup(X9,X20) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/COM001+0.ax','lookup-INV') ).
fof(subst4,axiom,
! [X1,X4,X6,X19,X9,X11,X15,X21,X24,X12] :
( ( X1 = X9
& X4 = X11
& X6 = vabs(X21,X15,X12) )
=> ( ( X9 != X21
& visFreeVar(X21,X11)
& X24 = vgensym(vapp(vapp(X11,X12),vvar(X9))) )
=> ( X19 = vsubst(X1,X4,X6)
=> X19 = vsubst(X9,X11,vabs(X24,X15,vsubst(X21,vvar(X24),X12))) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/COM001+0.ax',subst4) ).
fof('T-Context-Duplicate',axiom,
! [X21,X22,X9,X23,X20,X11,X15] :
( ( X9 = X21
& vtcheck(vbind(X9,X23,vbind(X21,X22,X20)),X11,X15) )
=> vtcheck(vbind(X9,X23,X20),X11,X15) ),
file('/export/starexec/sandbox/benchmark/Axioms/COM001+0.ax','T-Context-Duplicate') ).
fof('T-subst-IH-app2',axiom,
! [X15,X20,X9,X11,X34] :
( ( vtcheck(X20,X11,X15)
& vtcheck(vbind(X9,X15,X20),ve2,X34) )
=> vtcheck(X20,vsubst(X9,X11,ve2),X34) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','T-subst-IH-app2') ).
fof('T-subst-IH-app1',axiom,
! [X15,X20,X9,X11,X34] :
( ( vtcheck(X20,X11,X15)
& vtcheck(vbind(X9,X15,X20),ve1,X34) )
=> vtcheck(X20,vsubst(X9,X11,ve1),X34) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','T-subst-IH-app1') ).
fof(reduce2,axiom,
! [X13,X4,X19,X9,X10,X12,X26] :
( X4 = vapp(vabs(X9,X10,X12),X13)
=> ( ( X26 = vreduce(X13)
& visSomeExp(X26) )
=> ( X19 = vreduce(X4)
=> X19 = vsomeExp(vapp(vabs(X9,X10,X12),vgetSomeExp(X26))) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/COM001+0.ax',reduce2) ).
fof('T-abs',axiom,
! [X20,X9,X11,X10,X15] :
( vtcheck(vbind(X9,X10,X20),X11,X15)
=> vtcheck(X20,vabs(X9,X10,X11),varrow(X10,X15)) ),
file('/export/starexec/sandbox/benchmark/Axioms/COM001+0.ax','T-abs') ).
fof(subst2,axiom,
! [X1,X4,X6,X19,X12,X9,X11,X13] :
( ( X1 = X9
& X4 = X11
& X6 = vapp(X12,X13) )
=> ( X19 = vsubst(X1,X4,X6)
=> X19 = vapp(vsubst(X9,X11,X12),vsubst(X9,X11,X13)) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/COM001+0.ax',subst2) ).
fof('T-app',axiom,
! [X10,X20,X12,X13,X15] :
( ( vtcheck(X20,X12,varrow(X10,X15))
& vtcheck(X20,X13,X10) )
=> vtcheck(X20,vapp(X12,X13),X15) ),
file('/export/starexec/sandbox/benchmark/Axioms/COM001+0.ax','T-app') ).
fof('T-Weak',axiom,
! [X9,X10,X20,X11,X15] :
( ( vlookup(X9,X20) = vnoType
& vtcheck(X20,X11,X15) )
=> vtcheck(vbind(X9,X10,X20),X11,X15) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','T-Weak') ).
fof(subst3,axiom,
! [X11,X9,X1,X4,X6,X19,X21,X15,X12] :
( ( X1 = X9
& X4 = X11
& X6 = vabs(X21,X15,X12) )
=> ( X9 = X21
=> ( X19 = vsubst(X1,X4,X6)
=> X19 = vabs(X21,X15,X12) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/COM001+0.ax',subst3) ).
fof('EQ-bind',axiom,
! [X1,X3,X16,X2,X5,X17] :
( ( vbind(X1,X3,X16) = vbind(X2,X5,X17)
=> ( X1 = X2
& X3 = X5
& X16 = X17 ) )
& ( ( X1 = X2
& X3 = X5
& X16 = X17 )
=> vbind(X1,X3,X16) = vbind(X2,X5,X17) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/COM001+0.ax','EQ-bind') ).
fof('EQ-abs',axiom,
! [X1,X3,X4,X2,X5,X6] :
( ( vabs(X1,X3,X4) = vabs(X2,X5,X6)
=> ( X1 = X2
& X3 = X5
& X4 = X6 ) )
& ( ( X1 = X2
& X3 = X5
& X4 = X6 )
=> vabs(X1,X3,X4) = vabs(X2,X5,X6) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/COM001+0.ax','EQ-abs') ).
fof(lookup2,axiom,
! [X22,X21,X1,X16,X19,X9,X20] :
( ( X1 = X9
& X16 = vbind(X21,X22,X20) )
=> ( X9 != X21
=> ( X19 = vlookup(X1,X16)
=> X19 = vlookup(X9,X20) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/COM001+0.ax',lookup2) ).
fof(isFreeVar1,axiom,
! [X15,X1,X4,X9,X14,X11] :
( ( X1 = X14
& X4 = vabs(X9,X15,X11) )
=> ( ( ( X9 != X14
& visFreeVar(X14,X11) )
=> visFreeVar(X1,X4) )
& ( visFreeVar(X1,X4)
=> ( X9 != X14
& visFreeVar(X14,X11) ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/COM001+0.ax',isFreeVar1) ).
fof(lookup1,axiom,
! [X20,X9,X21,X1,X16,X19,X22] :
( ( X1 = X9
& X16 = vbind(X21,X22,X20) )
=> ( X9 = X21
=> ( X19 = vlookup(X1,X16)
=> X19 = vsomeType(X22) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/COM001+0.ax',lookup1) ).
fof(subst1,axiom,
! [X11,X9,X1,X4,X6,X19,X21] :
( ( X1 = X9
& X4 = X11
& X6 = vvar(X21) )
=> ( X9 != X21
=> ( X19 = vsubst(X1,X4,X6)
=> X19 = vvar(X21) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/COM001+0.ax',subst1) ).
fof(subst0,axiom,
! [X9,X21,X1,X4,X6,X19,X11] :
( ( X1 = X9
& X4 = X11
& X6 = vvar(X21) )
=> ( X9 = X21
=> ( X19 = vsubst(X1,X4,X6)
=> X19 = X11 ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/COM001+0.ax',subst0) ).
fof('DIFF-abs-app',axiom,
! [X1,X3,X4,X6,X7] : vabs(X1,X3,X4) != vapp(X6,X7),
file('/export/starexec/sandbox/benchmark/Axioms/COM001+0.ax','DIFF-abs-app') ).
fof(reduce1,axiom,
! [X9,X10,X11,X4,X19] :
( X4 = vabs(X9,X10,X11)
=> ( X19 = vreduce(X4)
=> X19 = vnoExp ) ),
file('/export/starexec/sandbox/benchmark/Axioms/COM001+0.ax',reduce1) ).
fof('DIFF-var-abs',axiom,
! [X1,X2,X3,X4] : vvar(X1) != vabs(X2,X3,X4),
file('/export/starexec/sandbox/benchmark/Axioms/COM001+0.ax','DIFF-var-abs') ).
fof(isValue0,axiom,
! [X9,X10,X11,X4] :
( X4 = vabs(X9,X10,X11)
=> visValue(X4) ),
file('/export/starexec/sandbox/benchmark/Axioms/COM001+0.ax',isValue0) ).
fof('T-var',axiom,
! [X20,X9,X15] :
( vlookup(X9,X20) = vsomeType(X15)
=> vtcheck(X20,vvar(X9),X15) ),
file('/export/starexec/sandbox/benchmark/Axioms/COM001+0.ax','T-var') ).
fof('DIFF-empty-bind',axiom,
! [X1,X3,X16] : vempty != vbind(X1,X3,X16),
file('/export/starexec/sandbox/benchmark/Axioms/COM001+0.ax','DIFF-empty-bind') ).
fof(isFreeVar2,axiom,
! [X1,X4,X12,X14,X13] :
( ( X1 = X14
& X4 = vapp(X12,X13) )
=> ( ( ( visFreeVar(X14,X12)
| visFreeVar(X14,X13) )
=> visFreeVar(X1,X4) )
& ( visFreeVar(X1,X4)
=> ( visFreeVar(X14,X12)
| visFreeVar(X14,X13) ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/COM001+0.ax',isFreeVar2) ).
fof('EQ-arrow',axiom,
! [X3,X5,X31,X32] :
( ( varrow(X3,X5) = varrow(X31,X32)
=> ( X3 = X31
& X5 = X32 ) )
& ( ( X3 = X31
& X5 = X32 )
=> varrow(X3,X5) = varrow(X31,X32) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/COM001+0.ax','EQ-arrow') ).
fof('EQ-app',axiom,
! [X4,X6,X7,X8] :
( ( vapp(X4,X6) = vapp(X7,X8)
=> ( X4 = X7
& X6 = X8 ) )
& ( ( X4 = X7
& X6 = X8 )
=> vapp(X4,X6) = vapp(X7,X8) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/COM001+0.ax','EQ-app') ).
fof(isFreeVar0,axiom,
! [X1,X4,X9,X14] :
( ( X1 = X14
& X4 = vvar(X9) )
=> ( ( X9 = X14
=> visFreeVar(X1,X4) )
& ( visFreeVar(X1,X4)
=> X9 = X14 ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/COM001+0.ax',isFreeVar0) ).
fof(lookup0,axiom,
! [X9,X1,X16,X19] :
( ( X1 = X9
& X16 = vempty )
=> ( X19 = vlookup(X1,X16)
=> X19 = vnoType ) ),
file('/export/starexec/sandbox/benchmark/Axioms/COM001+0.ax',lookup0) ).
fof('DIFF-var-app',axiom,
! [X1,X4,X6] : vvar(X1) != vapp(X4,X6),
file('/export/starexec/sandbox/benchmark/Axioms/COM001+0.ax','DIFF-var-app') ).
fof(getSomeExp0,axiom,
! [X25,X19,X11] :
( X25 = vsomeExp(X11)
=> ( X19 = vgetSomeExp(X25)
=> X19 = X11 ) ),
file('/export/starexec/sandbox/benchmark/Axioms/COM001+0.ax',getSomeExp0) ).
fof(getSomeType0,axiom,
! [X18,X19,X11] :
( X18 = vsomeType(X11)
=> ( X19 = vgetSomeType(X18)
=> X19 = X11 ) ),
file('/export/starexec/sandbox/benchmark/Axioms/COM001+0.ax',getSomeType0) ).
fof(reduce0,axiom,
! [X9,X4,X19] :
( X4 = vvar(X9)
=> ( X19 = vreduce(X4)
=> X19 = vnoExp ) ),
file('/export/starexec/sandbox/benchmark/Axioms/COM001+0.ax',reduce0) ).
fof('EQ-someExp',axiom,
! [X4,X6] :
( ( vsomeExp(X4) = vsomeExp(X6)
=> X4 = X6 )
& ( X4 = X6
=> vsomeExp(X4) = vsomeExp(X6) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/COM001+0.ax','EQ-someExp') ).
fof('EQ-someType',axiom,
! [X3,X5] :
( ( vsomeType(X3) = vsomeType(X5)
=> X3 = X5 )
& ( X3 = X5
=> vsomeType(X3) = vsomeType(X5) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/COM001+0.ax','EQ-someType') ).
fof('EQ-var',axiom,
! [X1,X2] :
( ( vvar(X1) = vvar(X2)
=> X1 = X2 )
& ( X1 = X2
=> vvar(X1) = vvar(X2) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/COM001+0.ax','EQ-var') ).
fof(isSomeExp1,axiom,
! [X11,X25] :
( X25 = vsomeExp(X11)
=> visSomeExp(X25) ),
file('/export/starexec/sandbox/benchmark/Axioms/COM001+0.ax',isSomeExp1) ).
fof(isSomeType1,axiom,
! [X11,X18] :
( X18 = vsomeType(X11)
=> visSomeType(X18) ),
file('/export/starexec/sandbox/benchmark/Axioms/COM001+0.ax',isSomeType1) ).
fof('DIFF-noExp-someExp',axiom,
! [X4] : vnoExp != vsomeExp(X4),
file('/export/starexec/sandbox/benchmark/Axioms/COM001+0.ax','DIFF-noExp-someExp') ).
fof('DIFF-noType-someType',axiom,
! [X3] : vnoType != vsomeType(X3),
file('/export/starexec/sandbox/benchmark/Axioms/COM001+0.ax','DIFF-noType-someType') ).
fof(i_0_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,
! [X692,X693] :
( ( X692 = vapp(vabs(esk69_2(X692,X693),esk67_2(X692,X693),esk71_2(X692,X693)),esk70_2(X692,X693))
| X692 = vapp(vabs(esk63_2(X692,X693),esk64_2(X692,X693),esk65_2(X692,X693)),esk62_2(X692,X693))
| X692 = vabs(esk59_2(X692,X693),esk60_2(X692,X693),esk61_2(X692,X693))
| X692 = vvar(esk58_2(X692,X693))
| ~ epred3_2(X693,X692) )
& ( esk68_2(X692,X693) = vreduce(esk70_2(X692,X693))
| X692 = vapp(vabs(esk63_2(X692,X693),esk64_2(X692,X693),esk65_2(X692,X693)),esk62_2(X692,X693))
| X692 = vabs(esk59_2(X692,X693),esk60_2(X692,X693),esk61_2(X692,X693))
| X692 = vvar(esk58_2(X692,X693))
| ~ epred3_2(X693,X692) )
& ( ~ visSomeExp(esk68_2(X692,X693))
| X692 = vapp(vabs(esk63_2(X692,X693),esk64_2(X692,X693),esk65_2(X692,X693)),esk62_2(X692,X693))
| X692 = vabs(esk59_2(X692,X693),esk60_2(X692,X693),esk61_2(X692,X693))
| X692 = vvar(esk58_2(X692,X693))
| ~ epred3_2(X693,X692) )
& ( visValue(esk70_2(X692,X693))
| X692 = vapp(vabs(esk63_2(X692,X693),esk64_2(X692,X693),esk65_2(X692,X693)),esk62_2(X692,X693))
| X692 = vabs(esk59_2(X692,X693),esk60_2(X692,X693),esk61_2(X692,X693))
| X692 = vvar(esk58_2(X692,X693))
| ~ epred3_2(X693,X692) )
& ( X693 = vsomeExp(vsubst(esk69_2(X692,X693),esk70_2(X692,X693),esk71_2(X692,X693)))
| X692 = vapp(vabs(esk63_2(X692,X693),esk64_2(X692,X693),esk65_2(X692,X693)),esk62_2(X692,X693))
| X692 = vabs(esk59_2(X692,X693),esk60_2(X692,X693),esk61_2(X692,X693))
| X692 = vvar(esk58_2(X692,X693))
| ~ epred3_2(X693,X692) )
& ( X692 = vapp(vabs(esk69_2(X692,X693),esk67_2(X692,X693),esk71_2(X692,X693)),esk70_2(X692,X693))
| esk66_2(X692,X693) = vreduce(esk62_2(X692,X693))
| X692 = vabs(esk59_2(X692,X693),esk60_2(X692,X693),esk61_2(X692,X693))
| X692 = vvar(esk58_2(X692,X693))
| ~ epred3_2(X693,X692) )
& ( esk68_2(X692,X693) = vreduce(esk70_2(X692,X693))
| esk66_2(X692,X693) = vreduce(esk62_2(X692,X693))
| X692 = vabs(esk59_2(X692,X693),esk60_2(X692,X693),esk61_2(X692,X693))
| X692 = vvar(esk58_2(X692,X693))
| ~ epred3_2(X693,X692) )
& ( ~ visSomeExp(esk68_2(X692,X693))
| esk66_2(X692,X693) = vreduce(esk62_2(X692,X693))
| X692 = vabs(esk59_2(X692,X693),esk60_2(X692,X693),esk61_2(X692,X693))
| X692 = vvar(esk58_2(X692,X693))
| ~ epred3_2(X693,X692) )
& ( visValue(esk70_2(X692,X693))
| esk66_2(X692,X693) = vreduce(esk62_2(X692,X693))
| X692 = vabs(esk59_2(X692,X693),esk60_2(X692,X693),esk61_2(X692,X693))
| X692 = vvar(esk58_2(X692,X693))
| ~ epred3_2(X693,X692) )
& ( X693 = vsomeExp(vsubst(esk69_2(X692,X693),esk70_2(X692,X693),esk71_2(X692,X693)))
| esk66_2(X692,X693) = vreduce(esk62_2(X692,X693))
| X692 = vabs(esk59_2(X692,X693),esk60_2(X692,X693),esk61_2(X692,X693))
| X692 = vvar(esk58_2(X692,X693))
| ~ epred3_2(X693,X692) )
& ( X692 = vapp(vabs(esk69_2(X692,X693),esk67_2(X692,X693),esk71_2(X692,X693)),esk70_2(X692,X693))
| visSomeExp(esk66_2(X692,X693))
| X692 = vabs(esk59_2(X692,X693),esk60_2(X692,X693),esk61_2(X692,X693))
| X692 = vvar(esk58_2(X692,X693))
| ~ epred3_2(X693,X692) )
& ( esk68_2(X692,X693) = vreduce(esk70_2(X692,X693))
| visSomeExp(esk66_2(X692,X693))
| X692 = vabs(esk59_2(X692,X693),esk60_2(X692,X693),esk61_2(X692,X693))
| X692 = vvar(esk58_2(X692,X693))
| ~ epred3_2(X693,X692) )
& ( ~ visSomeExp(esk68_2(X692,X693))
| visSomeExp(esk66_2(X692,X693))
| X692 = vabs(esk59_2(X692,X693),esk60_2(X692,X693),esk61_2(X692,X693))
| X692 = vvar(esk58_2(X692,X693))
| ~ epred3_2(X693,X692) )
& ( visValue(esk70_2(X692,X693))
| visSomeExp(esk66_2(X692,X693))
| X692 = vabs(esk59_2(X692,X693),esk60_2(X692,X693),esk61_2(X692,X693))
| X692 = vvar(esk58_2(X692,X693))
| ~ epred3_2(X693,X692) )
& ( X693 = vsomeExp(vsubst(esk69_2(X692,X693),esk70_2(X692,X693),esk71_2(X692,X693)))
| visSomeExp(esk66_2(X692,X693))
| X692 = vabs(esk59_2(X692,X693),esk60_2(X692,X693),esk61_2(X692,X693))
| X692 = vvar(esk58_2(X692,X693))
| ~ epred3_2(X693,X692) )
& ( X692 = vapp(vabs(esk69_2(X692,X693),esk67_2(X692,X693),esk71_2(X692,X693)),esk70_2(X692,X693))
| X693 = vsomeExp(vapp(vabs(esk63_2(X692,X693),esk64_2(X692,X693),esk65_2(X692,X693)),vgetSomeExp(esk66_2(X692,X693))))
| X692 = vabs(esk59_2(X692,X693),esk60_2(X692,X693),esk61_2(X692,X693))
| X692 = vvar(esk58_2(X692,X693))
| ~ epred3_2(X693,X692) )
& ( esk68_2(X692,X693) = vreduce(esk70_2(X692,X693))
| X693 = vsomeExp(vapp(vabs(esk63_2(X692,X693),esk64_2(X692,X693),esk65_2(X692,X693)),vgetSomeExp(esk66_2(X692,X693))))
| X692 = vabs(esk59_2(X692,X693),esk60_2(X692,X693),esk61_2(X692,X693))
| X692 = vvar(esk58_2(X692,X693))
| ~ epred3_2(X693,X692) )
& ( ~ visSomeExp(esk68_2(X692,X693))
| X693 = vsomeExp(vapp(vabs(esk63_2(X692,X693),esk64_2(X692,X693),esk65_2(X692,X693)),vgetSomeExp(esk66_2(X692,X693))))
| X692 = vabs(esk59_2(X692,X693),esk60_2(X692,X693),esk61_2(X692,X693))
| X692 = vvar(esk58_2(X692,X693))
| ~ epred3_2(X693,X692) )
& ( visValue(esk70_2(X692,X693))
| X693 = vsomeExp(vapp(vabs(esk63_2(X692,X693),esk64_2(X692,X693),esk65_2(X692,X693)),vgetSomeExp(esk66_2(X692,X693))))
| X692 = vabs(esk59_2(X692,X693),esk60_2(X692,X693),esk61_2(X692,X693))
| X692 = vvar(esk58_2(X692,X693))
| ~ epred3_2(X693,X692) )
& ( X693 = vsomeExp(vsubst(esk69_2(X692,X693),esk70_2(X692,X693),esk71_2(X692,X693)))
| X693 = vsomeExp(vapp(vabs(esk63_2(X692,X693),esk64_2(X692,X693),esk65_2(X692,X693)),vgetSomeExp(esk66_2(X692,X693))))
| X692 = vabs(esk59_2(X692,X693),esk60_2(X692,X693),esk61_2(X692,X693))
| X692 = vvar(esk58_2(X692,X693))
| ~ epred3_2(X693,X692) )
& ( X692 = vapp(vabs(esk69_2(X692,X693),esk67_2(X692,X693),esk71_2(X692,X693)),esk70_2(X692,X693))
| X692 = vapp(vabs(esk63_2(X692,X693),esk64_2(X692,X693),esk65_2(X692,X693)),esk62_2(X692,X693))
| X693 = vnoExp
| X692 = vvar(esk58_2(X692,X693))
| ~ epred3_2(X693,X692) )
& ( esk68_2(X692,X693) = vreduce(esk70_2(X692,X693))
| X692 = vapp(vabs(esk63_2(X692,X693),esk64_2(X692,X693),esk65_2(X692,X693)),esk62_2(X692,X693))
| X693 = vnoExp
| X692 = vvar(esk58_2(X692,X693))
| ~ epred3_2(X693,X692) )
& ( ~ visSomeExp(esk68_2(X692,X693))
| X692 = vapp(vabs(esk63_2(X692,X693),esk64_2(X692,X693),esk65_2(X692,X693)),esk62_2(X692,X693))
| X693 = vnoExp
| X692 = vvar(esk58_2(X692,X693))
| ~ epred3_2(X693,X692) )
& ( visValue(esk70_2(X692,X693))
| X692 = vapp(vabs(esk63_2(X692,X693),esk64_2(X692,X693),esk65_2(X692,X693)),esk62_2(X692,X693))
| X693 = vnoExp
| X692 = vvar(esk58_2(X692,X693))
| ~ epred3_2(X693,X692) )
& ( X693 = vsomeExp(vsubst(esk69_2(X692,X693),esk70_2(X692,X693),esk71_2(X692,X693)))
| X692 = vapp(vabs(esk63_2(X692,X693),esk64_2(X692,X693),esk65_2(X692,X693)),esk62_2(X692,X693))
| X693 = vnoExp
| X692 = vvar(esk58_2(X692,X693))
| ~ epred3_2(X693,X692) )
& ( X692 = vapp(vabs(esk69_2(X692,X693),esk67_2(X692,X693),esk71_2(X692,X693)),esk70_2(X692,X693))
| esk66_2(X692,X693) = vreduce(esk62_2(X692,X693))
| X693 = vnoExp
| X692 = vvar(esk58_2(X692,X693))
| ~ epred3_2(X693,X692) )
& ( esk68_2(X692,X693) = vreduce(esk70_2(X692,X693))
| esk66_2(X692,X693) = vreduce(esk62_2(X692,X693))
| X693 = vnoExp
| X692 = vvar(esk58_2(X692,X693))
| ~ epred3_2(X693,X692) )
& ( ~ visSomeExp(esk68_2(X692,X693))
| esk66_2(X692,X693) = vreduce(esk62_2(X692,X693))
| X693 = vnoExp
| X692 = vvar(esk58_2(X692,X693))
| ~ epred3_2(X693,X692) )
& ( visValue(esk70_2(X692,X693))
| esk66_2(X692,X693) = vreduce(esk62_2(X692,X693))
| X693 = vnoExp
| X692 = vvar(esk58_2(X692,X693))
| ~ epred3_2(X693,X692) )
& ( X693 = vsomeExp(vsubst(esk69_2(X692,X693),esk70_2(X692,X693),esk71_2(X692,X693)))
| esk66_2(X692,X693) = vreduce(esk62_2(X692,X693))
| X693 = vnoExp
| X692 = vvar(esk58_2(X692,X693))
| ~ epred3_2(X693,X692) )
& ( X692 = vapp(vabs(esk69_2(X692,X693),esk67_2(X692,X693),esk71_2(X692,X693)),esk70_2(X692,X693))
| visSomeExp(esk66_2(X692,X693))
| X693 = vnoExp
| X692 = vvar(esk58_2(X692,X693))
| ~ epred3_2(X693,X692) )
& ( esk68_2(X692,X693) = vreduce(esk70_2(X692,X693))
| visSomeExp(esk66_2(X692,X693))
| X693 = vnoExp
| X692 = vvar(esk58_2(X692,X693))
| ~ epred3_2(X693,X692) )
& ( ~ visSomeExp(esk68_2(X692,X693))
| visSomeExp(esk66_2(X692,X693))
| X693 = vnoExp
| X692 = vvar(esk58_2(X692,X693))
| ~ epred3_2(X693,X692) )
& ( visValue(esk70_2(X692,X693))
| visSomeExp(esk66_2(X692,X693))
| X693 = vnoExp
| X692 = vvar(esk58_2(X692,X693))
| ~ epred3_2(X693,X692) )
& ( X693 = vsomeExp(vsubst(esk69_2(X692,X693),esk70_2(X692,X693),esk71_2(X692,X693)))
| visSomeExp(esk66_2(X692,X693))
| X693 = vnoExp
| X692 = vvar(esk58_2(X692,X693))
| ~ epred3_2(X693,X692) )
& ( X692 = vapp(vabs(esk69_2(X692,X693),esk67_2(X692,X693),esk71_2(X692,X693)),esk70_2(X692,X693))
| X693 = vsomeExp(vapp(vabs(esk63_2(X692,X693),esk64_2(X692,X693),esk65_2(X692,X693)),vgetSomeExp(esk66_2(X692,X693))))
| X693 = vnoExp
| X692 = vvar(esk58_2(X692,X693))
| ~ epred3_2(X693,X692) )
& ( esk68_2(X692,X693) = vreduce(esk70_2(X692,X693))
| X693 = vsomeExp(vapp(vabs(esk63_2(X692,X693),esk64_2(X692,X693),esk65_2(X692,X693)),vgetSomeExp(esk66_2(X692,X693))))
| X693 = vnoExp
| X692 = vvar(esk58_2(X692,X693))
| ~ epred3_2(X693,X692) )
& ( ~ visSomeExp(esk68_2(X692,X693))
| X693 = vsomeExp(vapp(vabs(esk63_2(X692,X693),esk64_2(X692,X693),esk65_2(X692,X693)),vgetSomeExp(esk66_2(X692,X693))))
| X693 = vnoExp
| X692 = vvar(esk58_2(X692,X693))
| ~ epred3_2(X693,X692) )
& ( visValue(esk70_2(X692,X693))
| X693 = vsomeExp(vapp(vabs(esk63_2(X692,X693),esk64_2(X692,X693),esk65_2(X692,X693)),vgetSomeExp(esk66_2(X692,X693))))
| X693 = vnoExp
| X692 = vvar(esk58_2(X692,X693))
| ~ epred3_2(X693,X692) )
& ( X693 = vsomeExp(vsubst(esk69_2(X692,X693),esk70_2(X692,X693),esk71_2(X692,X693)))
| X693 = vsomeExp(vapp(vabs(esk63_2(X692,X693),esk64_2(X692,X693),esk65_2(X692,X693)),vgetSomeExp(esk66_2(X692,X693))))
| X693 = vnoExp
| X692 = vvar(esk58_2(X692,X693))
| ~ epred3_2(X693,X692) )
& ( X692 = vapp(vabs(esk69_2(X692,X693),esk67_2(X692,X693),esk71_2(X692,X693)),esk70_2(X692,X693))
| X692 = vapp(vabs(esk63_2(X692,X693),esk64_2(X692,X693),esk65_2(X692,X693)),esk62_2(X692,X693))
| X692 = vabs(esk59_2(X692,X693),esk60_2(X692,X693),esk61_2(X692,X693))
| X693 = vnoExp
| ~ epred3_2(X693,X692) )
& ( esk68_2(X692,X693) = vreduce(esk70_2(X692,X693))
| X692 = vapp(vabs(esk63_2(X692,X693),esk64_2(X692,X693),esk65_2(X692,X693)),esk62_2(X692,X693))
| X692 = vabs(esk59_2(X692,X693),esk60_2(X692,X693),esk61_2(X692,X693))
| X693 = vnoExp
| ~ epred3_2(X693,X692) )
& ( ~ visSomeExp(esk68_2(X692,X693))
| X692 = vapp(vabs(esk63_2(X692,X693),esk64_2(X692,X693),esk65_2(X692,X693)),esk62_2(X692,X693))
| X692 = vabs(esk59_2(X692,X693),esk60_2(X692,X693),esk61_2(X692,X693))
| X693 = vnoExp
| ~ epred3_2(X693,X692) )
& ( visValue(esk70_2(X692,X693))
| X692 = vapp(vabs(esk63_2(X692,X693),esk64_2(X692,X693),esk65_2(X692,X693)),esk62_2(X692,X693))
| X692 = vabs(esk59_2(X692,X693),esk60_2(X692,X693),esk61_2(X692,X693))
| X693 = vnoExp
| ~ epred3_2(X693,X692) )
& ( X693 = vsomeExp(vsubst(esk69_2(X692,X693),esk70_2(X692,X693),esk71_2(X692,X693)))
| X692 = vapp(vabs(esk63_2(X692,X693),esk64_2(X692,X693),esk65_2(X692,X693)),esk62_2(X692,X693))
| X692 = vabs(esk59_2(X692,X693),esk60_2(X692,X693),esk61_2(X692,X693))
| X693 = vnoExp
| ~ epred3_2(X693,X692) )
& ( X692 = vapp(vabs(esk69_2(X692,X693),esk67_2(X692,X693),esk71_2(X692,X693)),esk70_2(X692,X693))
| esk66_2(X692,X693) = vreduce(esk62_2(X692,X693))
| X692 = vabs(esk59_2(X692,X693),esk60_2(X692,X693),esk61_2(X692,X693))
| X693 = vnoExp
| ~ epred3_2(X693,X692) )
& ( esk68_2(X692,X693) = vreduce(esk70_2(X692,X693))
| esk66_2(X692,X693) = vreduce(esk62_2(X692,X693))
| X692 = vabs(esk59_2(X692,X693),esk60_2(X692,X693),esk61_2(X692,X693))
| X693 = vnoExp
| ~ epred3_2(X693,X692) )
& ( ~ visSomeExp(esk68_2(X692,X693))
| esk66_2(X692,X693) = vreduce(esk62_2(X692,X693))
| X692 = vabs(esk59_2(X692,X693),esk60_2(X692,X693),esk61_2(X692,X693))
| X693 = vnoExp
| ~ epred3_2(X693,X692) )
& ( visValue(esk70_2(X692,X693))
| esk66_2(X692,X693) = vreduce(esk62_2(X692,X693))
| X692 = vabs(esk59_2(X692,X693),esk60_2(X692,X693),esk61_2(X692,X693))
| X693 = vnoExp
| ~ epred3_2(X693,X692) )
& ( X693 = vsomeExp(vsubst(esk69_2(X692,X693),esk70_2(X692,X693),esk71_2(X692,X693)))
| esk66_2(X692,X693) = vreduce(esk62_2(X692,X693))
| X692 = vabs(esk59_2(X692,X693),esk60_2(X692,X693),esk61_2(X692,X693))
| X693 = vnoExp
| ~ epred3_2(X693,X692) )
& ( X692 = vapp(vabs(esk69_2(X692,X693),esk67_2(X692,X693),esk71_2(X692,X693)),esk70_2(X692,X693))
| visSomeExp(esk66_2(X692,X693))
| X692 = vabs(esk59_2(X692,X693),esk60_2(X692,X693),esk61_2(X692,X693))
| X693 = vnoExp
| ~ epred3_2(X693,X692) )
& ( esk68_2(X692,X693) = vreduce(esk70_2(X692,X693))
| visSomeExp(esk66_2(X692,X693))
| X692 = vabs(esk59_2(X692,X693),esk60_2(X692,X693),esk61_2(X692,X693))
| X693 = vnoExp
| ~ epred3_2(X693,X692) )
& ( ~ visSomeExp(esk68_2(X692,X693))
| visSomeExp(esk66_2(X692,X693))
| X692 = vabs(esk59_2(X692,X693),esk60_2(X692,X693),esk61_2(X692,X693))
| X693 = vnoExp
| ~ epred3_2(X693,X692) )
& ( visValue(esk70_2(X692,X693))
| visSomeExp(esk66_2(X692,X693))
| X692 = vabs(esk59_2(X692,X693),esk60_2(X692,X693),esk61_2(X692,X693))
| X693 = vnoExp
| ~ epred3_2(X693,X692) )
& ( X693 = vsomeExp(vsubst(esk69_2(X692,X693),esk70_2(X692,X693),esk71_2(X692,X693)))
| visSomeExp(esk66_2(X692,X693))
| X692 = vabs(esk59_2(X692,X693),esk60_2(X692,X693),esk61_2(X692,X693))
| X693 = vnoExp
| ~ epred3_2(X693,X692) )
& ( X692 = vapp(vabs(esk69_2(X692,X693),esk67_2(X692,X693),esk71_2(X692,X693)),esk70_2(X692,X693))
| X693 = vsomeExp(vapp(vabs(esk63_2(X692,X693),esk64_2(X692,X693),esk65_2(X692,X693)),vgetSomeExp(esk66_2(X692,X693))))
| X692 = vabs(esk59_2(X692,X693),esk60_2(X692,X693),esk61_2(X692,X693))
| X693 = vnoExp
| ~ epred3_2(X693,X692) )
& ( esk68_2(X692,X693) = vreduce(esk70_2(X692,X693))
| X693 = vsomeExp(vapp(vabs(esk63_2(X692,X693),esk64_2(X692,X693),esk65_2(X692,X693)),vgetSomeExp(esk66_2(X692,X693))))
| X692 = vabs(esk59_2(X692,X693),esk60_2(X692,X693),esk61_2(X692,X693))
| X693 = vnoExp
| ~ epred3_2(X693,X692) )
& ( ~ visSomeExp(esk68_2(X692,X693))
| X693 = vsomeExp(vapp(vabs(esk63_2(X692,X693),esk64_2(X692,X693),esk65_2(X692,X693)),vgetSomeExp(esk66_2(X692,X693))))
| X692 = vabs(esk59_2(X692,X693),esk60_2(X692,X693),esk61_2(X692,X693))
| X693 = vnoExp
| ~ epred3_2(X693,X692) )
& ( visValue(esk70_2(X692,X693))
| X693 = vsomeExp(vapp(vabs(esk63_2(X692,X693),esk64_2(X692,X693),esk65_2(X692,X693)),vgetSomeExp(esk66_2(X692,X693))))
| X692 = vabs(esk59_2(X692,X693),esk60_2(X692,X693),esk61_2(X692,X693))
| X693 = vnoExp
| ~ epred3_2(X693,X692) )
& ( X693 = vsomeExp(vsubst(esk69_2(X692,X693),esk70_2(X692,X693),esk71_2(X692,X693)))
| X693 = vsomeExp(vapp(vabs(esk63_2(X692,X693),esk64_2(X692,X693),esk65_2(X692,X693)),vgetSomeExp(esk66_2(X692,X693))))
| X692 = vabs(esk59_2(X692,X693),esk60_2(X692,X693),esk61_2(X692,X693))
| X693 = vnoExp
| ~ epred3_2(X693,X692) )
& ( X692 = vapp(vabs(esk69_2(X692,X693),esk67_2(X692,X693),esk71_2(X692,X693)),esk70_2(X692,X693))
| X692 = vapp(vabs(esk63_2(X692,X693),esk64_2(X692,X693),esk65_2(X692,X693)),esk62_2(X692,X693))
| X693 = vnoExp
| X693 = vnoExp
| ~ epred3_2(X693,X692) )
& ( esk68_2(X692,X693) = vreduce(esk70_2(X692,X693))
| X692 = vapp(vabs(esk63_2(X692,X693),esk64_2(X692,X693),esk65_2(X692,X693)),esk62_2(X692,X693))
| X693 = vnoExp
| X693 = vnoExp
| ~ epred3_2(X693,X692) )
& ( ~ visSomeExp(esk68_2(X692,X693))
| X692 = vapp(vabs(esk63_2(X692,X693),esk64_2(X692,X693),esk65_2(X692,X693)),esk62_2(X692,X693))
| X693 = vnoExp
| X693 = vnoExp
| ~ epred3_2(X693,X692) )
& ( visValue(esk70_2(X692,X693))
| X692 = vapp(vabs(esk63_2(X692,X693),esk64_2(X692,X693),esk65_2(X692,X693)),esk62_2(X692,X693))
| X693 = vnoExp
| X693 = vnoExp
| ~ epred3_2(X693,X692) )
& ( X693 = vsomeExp(vsubst(esk69_2(X692,X693),esk70_2(X692,X693),esk71_2(X692,X693)))
| X692 = vapp(vabs(esk63_2(X692,X693),esk64_2(X692,X693),esk65_2(X692,X693)),esk62_2(X692,X693))
| X693 = vnoExp
| X693 = vnoExp
| ~ epred3_2(X693,X692) )
& ( X692 = vapp(vabs(esk69_2(X692,X693),esk67_2(X692,X693),esk71_2(X692,X693)),esk70_2(X692,X693))
| esk66_2(X692,X693) = vreduce(esk62_2(X692,X693))
| X693 = vnoExp
| X693 = vnoExp
| ~ epred3_2(X693,X692) )
& ( esk68_2(X692,X693) = vreduce(esk70_2(X692,X693))
| esk66_2(X692,X693) = vreduce(esk62_2(X692,X693))
| X693 = vnoExp
| X693 = vnoExp
| ~ epred3_2(X693,X692) )
& ( ~ visSomeExp(esk68_2(X692,X693))
| esk66_2(X692,X693) = vreduce(esk62_2(X692,X693))
| X693 = vnoExp
| X693 = vnoExp
| ~ epred3_2(X693,X692) )
& ( visValue(esk70_2(X692,X693))
| esk66_2(X692,X693) = vreduce(esk62_2(X692,X693))
| X693 = vnoExp
| X693 = vnoExp
| ~ epred3_2(X693,X692) )
& ( X693 = vsomeExp(vsubst(esk69_2(X692,X693),esk70_2(X692,X693),esk71_2(X692,X693)))
| esk66_2(X692,X693) = vreduce(esk62_2(X692,X693))
| X693 = vnoExp
| X693 = vnoExp
| ~ epred3_2(X693,X692) )
& ( X692 = vapp(vabs(esk69_2(X692,X693),esk67_2(X692,X693),esk71_2(X692,X693)),esk70_2(X692,X693))
| visSomeExp(esk66_2(X692,X693))
| X693 = vnoExp
| X693 = vnoExp
| ~ epred3_2(X693,X692) )
& ( esk68_2(X692,X693) = vreduce(esk70_2(X692,X693))
| visSomeExp(esk66_2(X692,X693))
| X693 = vnoExp
| X693 = vnoExp
| ~ epred3_2(X693,X692) )
& ( ~ visSomeExp(esk68_2(X692,X693))
| visSomeExp(esk66_2(X692,X693))
| X693 = vnoExp
| X693 = vnoExp
| ~ epred3_2(X693,X692) )
& ( visValue(esk70_2(X692,X693))
| visSomeExp(esk66_2(X692,X693))
| X693 = vnoExp
| X693 = vnoExp
| ~ epred3_2(X693,X692) )
& ( X693 = vsomeExp(vsubst(esk69_2(X692,X693),esk70_2(X692,X693),esk71_2(X692,X693)))
| visSomeExp(esk66_2(X692,X693))
| X693 = vnoExp
| X693 = vnoExp
| ~ epred3_2(X693,X692) )
& ( X692 = vapp(vabs(esk69_2(X692,X693),esk67_2(X692,X693),esk71_2(X692,X693)),esk70_2(X692,X693))
| X693 = vsomeExp(vapp(vabs(esk63_2(X692,X693),esk64_2(X692,X693),esk65_2(X692,X693)),vgetSomeExp(esk66_2(X692,X693))))
| X693 = vnoExp
| X693 = vnoExp
| ~ epred3_2(X693,X692) )
& ( esk68_2(X692,X693) = vreduce(esk70_2(X692,X693))
| X693 = vsomeExp(vapp(vabs(esk63_2(X692,X693),esk64_2(X692,X693),esk65_2(X692,X693)),vgetSomeExp(esk66_2(X692,X693))))
| X693 = vnoExp
| X693 = vnoExp
| ~ epred3_2(X693,X692) )
& ( ~ visSomeExp(esk68_2(X692,X693))
| X693 = vsomeExp(vapp(vabs(esk63_2(X692,X693),esk64_2(X692,X693),esk65_2(X692,X693)),vgetSomeExp(esk66_2(X692,X693))))
| X693 = vnoExp
| X693 = vnoExp
| ~ epred3_2(X693,X692) )
& ( visValue(esk70_2(X692,X693))
| X693 = vsomeExp(vapp(vabs(esk63_2(X692,X693),esk64_2(X692,X693),esk65_2(X692,X693)),vgetSomeExp(esk66_2(X692,X693))))
| X693 = vnoExp
| X693 = vnoExp
| ~ epred3_2(X693,X692) )
& ( X693 = vsomeExp(vsubst(esk69_2(X692,X693),esk70_2(X692,X693),esk71_2(X692,X693)))
| X693 = vsomeExp(vapp(vabs(esk63_2(X692,X693),esk64_2(X692,X693),esk65_2(X692,X693)),vgetSomeExp(esk66_2(X692,X693))))
| X693 = vnoExp
| X693 = vnoExp
| ~ epred3_2(X693,X692) ) ),
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,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_68,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_69,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_70,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_71,negated_conjecture,
~ ! [X15,X20,X9,X11,X34] :
( ( vtcheck(X20,X11,X15)
& vtcheck(vbind(X9,X15,X20),vapp(ve1,ve2),X34) )
=> vtcheck(X20,vsubst(X9,X11,vapp(ve1,ve2)),X34) ),
inference(assume_negation,[status(cth)],['T-subst-app']) ).
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,
! [X673,X674,X675,X676] :
( ( X673 = esk52_4(X673,X674,X675,X676)
| X673 = esk48_4(X673,X674,X675,X676)
| X673 = esk44_4(X673,X674,X675,X676)
| epred1_4(X676,X675,X674,X673)
| ~ epred2_4(X676,X675,X674,X673) )
& ( X674 = esk53_4(X673,X674,X675,X676)
| X673 = esk48_4(X673,X674,X675,X676)
| X673 = esk44_4(X673,X674,X675,X676)
| epred1_4(X676,X675,X674,X673)
| ~ epred2_4(X676,X675,X674,X673) )
& ( X675 = vabs(esk55_4(X673,X674,X675,X676),esk54_4(X673,X674,X675,X676),esk57_4(X673,X674,X675,X676))
| X673 = esk48_4(X673,X674,X675,X676)
| X673 = esk44_4(X673,X674,X675,X676)
| epred1_4(X676,X675,X674,X673)
| ~ epred2_4(X676,X675,X674,X673) )
& ( esk52_4(X673,X674,X675,X676) != esk55_4(X673,X674,X675,X676)
| X673 = esk48_4(X673,X674,X675,X676)
| X673 = esk44_4(X673,X674,X675,X676)
| epred1_4(X676,X675,X674,X673)
| ~ epred2_4(X676,X675,X674,X673) )
& ( visFreeVar(esk55_4(X673,X674,X675,X676),esk53_4(X673,X674,X675,X676))
| X673 = esk48_4(X673,X674,X675,X676)
| X673 = esk44_4(X673,X674,X675,X676)
| epred1_4(X676,X675,X674,X673)
| ~ epred2_4(X676,X675,X674,X673) )
& ( esk56_4(X673,X674,X675,X676) = vgensym(vapp(vapp(esk53_4(X673,X674,X675,X676),esk57_4(X673,X674,X675,X676)),vvar(esk52_4(X673,X674,X675,X676))))
| X673 = esk48_4(X673,X674,X675,X676)
| X673 = esk44_4(X673,X674,X675,X676)
| epred1_4(X676,X675,X674,X673)
| ~ epred2_4(X676,X675,X674,X673) )
& ( X676 = vsubst(esk52_4(X673,X674,X675,X676),esk53_4(X673,X674,X675,X676),vabs(esk56_4(X673,X674,X675,X676),esk54_4(X673,X674,X675,X676),vsubst(esk55_4(X673,X674,X675,X676),vvar(esk56_4(X673,X674,X675,X676)),esk57_4(X673,X674,X675,X676))))
| X673 = esk48_4(X673,X674,X675,X676)
| X673 = esk44_4(X673,X674,X675,X676)
| epred1_4(X676,X675,X674,X673)
| ~ epred2_4(X676,X675,X674,X673) )
& ( X673 = esk52_4(X673,X674,X675,X676)
| X674 = esk47_4(X673,X674,X675,X676)
| X673 = esk44_4(X673,X674,X675,X676)
| epred1_4(X676,X675,X674,X673)
| ~ epred2_4(X676,X675,X674,X673) )
& ( X674 = esk53_4(X673,X674,X675,X676)
| X674 = esk47_4(X673,X674,X675,X676)
| X673 = esk44_4(X673,X674,X675,X676)
| epred1_4(X676,X675,X674,X673)
| ~ epred2_4(X676,X675,X674,X673) )
& ( X675 = vabs(esk55_4(X673,X674,X675,X676),esk54_4(X673,X674,X675,X676),esk57_4(X673,X674,X675,X676))
| X674 = esk47_4(X673,X674,X675,X676)
| X673 = esk44_4(X673,X674,X675,X676)
| epred1_4(X676,X675,X674,X673)
| ~ epred2_4(X676,X675,X674,X673) )
& ( esk52_4(X673,X674,X675,X676) != esk55_4(X673,X674,X675,X676)
| X674 = esk47_4(X673,X674,X675,X676)
| X673 = esk44_4(X673,X674,X675,X676)
| epred1_4(X676,X675,X674,X673)
| ~ epred2_4(X676,X675,X674,X673) )
& ( visFreeVar(esk55_4(X673,X674,X675,X676),esk53_4(X673,X674,X675,X676))
| X674 = esk47_4(X673,X674,X675,X676)
| X673 = esk44_4(X673,X674,X675,X676)
| epred1_4(X676,X675,X674,X673)
| ~ epred2_4(X676,X675,X674,X673) )
& ( esk56_4(X673,X674,X675,X676) = vgensym(vapp(vapp(esk53_4(X673,X674,X675,X676),esk57_4(X673,X674,X675,X676)),vvar(esk52_4(X673,X674,X675,X676))))
| X674 = esk47_4(X673,X674,X675,X676)
| X673 = esk44_4(X673,X674,X675,X676)
| epred1_4(X676,X675,X674,X673)
| ~ epred2_4(X676,X675,X674,X673) )
& ( X676 = vsubst(esk52_4(X673,X674,X675,X676),esk53_4(X673,X674,X675,X676),vabs(esk56_4(X673,X674,X675,X676),esk54_4(X673,X674,X675,X676),vsubst(esk55_4(X673,X674,X675,X676),vvar(esk56_4(X673,X674,X675,X676)),esk57_4(X673,X674,X675,X676))))
| X674 = esk47_4(X673,X674,X675,X676)
| X673 = esk44_4(X673,X674,X675,X676)
| epred1_4(X676,X675,X674,X673)
| ~ epred2_4(X676,X675,X674,X673) )
& ( X673 = esk52_4(X673,X674,X675,X676)
| X675 = vabs(esk49_4(X673,X674,X675,X676),esk50_4(X673,X674,X675,X676),esk51_4(X673,X674,X675,X676))
| X673 = esk44_4(X673,X674,X675,X676)
| epred1_4(X676,X675,X674,X673)
| ~ epred2_4(X676,X675,X674,X673) )
& ( X674 = esk53_4(X673,X674,X675,X676)
| X675 = vabs(esk49_4(X673,X674,X675,X676),esk50_4(X673,X674,X675,X676),esk51_4(X673,X674,X675,X676))
| X673 = esk44_4(X673,X674,X675,X676)
| epred1_4(X676,X675,X674,X673)
| ~ epred2_4(X676,X675,X674,X673) )
& ( X675 = vabs(esk55_4(X673,X674,X675,X676),esk54_4(X673,X674,X675,X676),esk57_4(X673,X674,X675,X676))
| X675 = vabs(esk49_4(X673,X674,X675,X676),esk50_4(X673,X674,X675,X676),esk51_4(X673,X674,X675,X676))
| X673 = esk44_4(X673,X674,X675,X676)
| epred1_4(X676,X675,X674,X673)
| ~ epred2_4(X676,X675,X674,X673) )
& ( esk52_4(X673,X674,X675,X676) != esk55_4(X673,X674,X675,X676)
| X675 = vabs(esk49_4(X673,X674,X675,X676),esk50_4(X673,X674,X675,X676),esk51_4(X673,X674,X675,X676))
| X673 = esk44_4(X673,X674,X675,X676)
| epred1_4(X676,X675,X674,X673)
| ~ epred2_4(X676,X675,X674,X673) )
& ( visFreeVar(esk55_4(X673,X674,X675,X676),esk53_4(X673,X674,X675,X676))
| X675 = vabs(esk49_4(X673,X674,X675,X676),esk50_4(X673,X674,X675,X676),esk51_4(X673,X674,X675,X676))
| X673 = esk44_4(X673,X674,X675,X676)
| epred1_4(X676,X675,X674,X673)
| ~ epred2_4(X676,X675,X674,X673) )
& ( esk56_4(X673,X674,X675,X676) = vgensym(vapp(vapp(esk53_4(X673,X674,X675,X676),esk57_4(X673,X674,X675,X676)),vvar(esk52_4(X673,X674,X675,X676))))
| X675 = vabs(esk49_4(X673,X674,X675,X676),esk50_4(X673,X674,X675,X676),esk51_4(X673,X674,X675,X676))
| X673 = esk44_4(X673,X674,X675,X676)
| epred1_4(X676,X675,X674,X673)
| ~ epred2_4(X676,X675,X674,X673) )
& ( X676 = vsubst(esk52_4(X673,X674,X675,X676),esk53_4(X673,X674,X675,X676),vabs(esk56_4(X673,X674,X675,X676),esk54_4(X673,X674,X675,X676),vsubst(esk55_4(X673,X674,X675,X676),vvar(esk56_4(X673,X674,X675,X676)),esk57_4(X673,X674,X675,X676))))
| X675 = vabs(esk49_4(X673,X674,X675,X676),esk50_4(X673,X674,X675,X676),esk51_4(X673,X674,X675,X676))
| X673 = esk44_4(X673,X674,X675,X676)
| epred1_4(X676,X675,X674,X673)
| ~ epred2_4(X676,X675,X674,X673) )
& ( X673 = esk52_4(X673,X674,X675,X676)
| esk48_4(X673,X674,X675,X676) = esk49_4(X673,X674,X675,X676)
| X673 = esk44_4(X673,X674,X675,X676)
| epred1_4(X676,X675,X674,X673)
| ~ epred2_4(X676,X675,X674,X673) )
& ( X674 = esk53_4(X673,X674,X675,X676)
| esk48_4(X673,X674,X675,X676) = esk49_4(X673,X674,X675,X676)
| X673 = esk44_4(X673,X674,X675,X676)
| epred1_4(X676,X675,X674,X673)
| ~ epred2_4(X676,X675,X674,X673) )
& ( X675 = vabs(esk55_4(X673,X674,X675,X676),esk54_4(X673,X674,X675,X676),esk57_4(X673,X674,X675,X676))
| esk48_4(X673,X674,X675,X676) = esk49_4(X673,X674,X675,X676)
| X673 = esk44_4(X673,X674,X675,X676)
| epred1_4(X676,X675,X674,X673)
| ~ epred2_4(X676,X675,X674,X673) )
& ( esk52_4(X673,X674,X675,X676) != esk55_4(X673,X674,X675,X676)
| esk48_4(X673,X674,X675,X676) = esk49_4(X673,X674,X675,X676)
| X673 = esk44_4(X673,X674,X675,X676)
| epred1_4(X676,X675,X674,X673)
| ~ epred2_4(X676,X675,X674,X673) )
& ( visFreeVar(esk55_4(X673,X674,X675,X676),esk53_4(X673,X674,X675,X676))
| esk48_4(X673,X674,X675,X676) = esk49_4(X673,X674,X675,X676)
| X673 = esk44_4(X673,X674,X675,X676)
| epred1_4(X676,X675,X674,X673)
| ~ epred2_4(X676,X675,X674,X673) )
& ( esk56_4(X673,X674,X675,X676) = vgensym(vapp(vapp(esk53_4(X673,X674,X675,X676),esk57_4(X673,X674,X675,X676)),vvar(esk52_4(X673,X674,X675,X676))))
| esk48_4(X673,X674,X675,X676) = esk49_4(X673,X674,X675,X676)
| X673 = esk44_4(X673,X674,X675,X676)
| epred1_4(X676,X675,X674,X673)
| ~ epred2_4(X676,X675,X674,X673) )
& ( X676 = vsubst(esk52_4(X673,X674,X675,X676),esk53_4(X673,X674,X675,X676),vabs(esk56_4(X673,X674,X675,X676),esk54_4(X673,X674,X675,X676),vsubst(esk55_4(X673,X674,X675,X676),vvar(esk56_4(X673,X674,X675,X676)),esk57_4(X673,X674,X675,X676))))
| esk48_4(X673,X674,X675,X676) = esk49_4(X673,X674,X675,X676)
| X673 = esk44_4(X673,X674,X675,X676)
| epred1_4(X676,X675,X674,X673)
| ~ epred2_4(X676,X675,X674,X673) )
& ( X673 = esk52_4(X673,X674,X675,X676)
| X676 = vabs(esk49_4(X673,X674,X675,X676),esk50_4(X673,X674,X675,X676),esk51_4(X673,X674,X675,X676))
| X673 = esk44_4(X673,X674,X675,X676)
| epred1_4(X676,X675,X674,X673)
| ~ epred2_4(X676,X675,X674,X673) )
& ( X674 = esk53_4(X673,X674,X675,X676)
| X676 = vabs(esk49_4(X673,X674,X675,X676),esk50_4(X673,X674,X675,X676),esk51_4(X673,X674,X675,X676))
| X673 = esk44_4(X673,X674,X675,X676)
| epred1_4(X676,X675,X674,X673)
| ~ epred2_4(X676,X675,X674,X673) )
& ( X675 = vabs(esk55_4(X673,X674,X675,X676),esk54_4(X673,X674,X675,X676),esk57_4(X673,X674,X675,X676))
| X676 = vabs(esk49_4(X673,X674,X675,X676),esk50_4(X673,X674,X675,X676),esk51_4(X673,X674,X675,X676))
| X673 = esk44_4(X673,X674,X675,X676)
| epred1_4(X676,X675,X674,X673)
| ~ epred2_4(X676,X675,X674,X673) )
& ( esk52_4(X673,X674,X675,X676) != esk55_4(X673,X674,X675,X676)
| X676 = vabs(esk49_4(X673,X674,X675,X676),esk50_4(X673,X674,X675,X676),esk51_4(X673,X674,X675,X676))
| X673 = esk44_4(X673,X674,X675,X676)
| epred1_4(X676,X675,X674,X673)
| ~ epred2_4(X676,X675,X674,X673) )
& ( visFreeVar(esk55_4(X673,X674,X675,X676),esk53_4(X673,X674,X675,X676))
| X676 = vabs(esk49_4(X673,X674,X675,X676),esk50_4(X673,X674,X675,X676),esk51_4(X673,X674,X675,X676))
| X673 = esk44_4(X673,X674,X675,X676)
| epred1_4(X676,X675,X674,X673)
| ~ epred2_4(X676,X675,X674,X673) )
& ( esk56_4(X673,X674,X675,X676) = vgensym(vapp(vapp(esk53_4(X673,X674,X675,X676),esk57_4(X673,X674,X675,X676)),vvar(esk52_4(X673,X674,X675,X676))))
| X676 = vabs(esk49_4(X673,X674,X675,X676),esk50_4(X673,X674,X675,X676),esk51_4(X673,X674,X675,X676))
| X673 = esk44_4(X673,X674,X675,X676)
| epred1_4(X676,X675,X674,X673)
| ~ epred2_4(X676,X675,X674,X673) )
& ( X676 = vsubst(esk52_4(X673,X674,X675,X676),esk53_4(X673,X674,X675,X676),vabs(esk56_4(X673,X674,X675,X676),esk54_4(X673,X674,X675,X676),vsubst(esk55_4(X673,X674,X675,X676),vvar(esk56_4(X673,X674,X675,X676)),esk57_4(X673,X674,X675,X676))))
| X676 = vabs(esk49_4(X673,X674,X675,X676),esk50_4(X673,X674,X675,X676),esk51_4(X673,X674,X675,X676))
| X673 = esk44_4(X673,X674,X675,X676)
| epred1_4(X676,X675,X674,X673)
| ~ epred2_4(X676,X675,X674,X673) )
& ( X673 = esk52_4(X673,X674,X675,X676)
| X673 = esk48_4(X673,X674,X675,X676)
| X674 = esk45_4(X673,X674,X675,X676)
| epred1_4(X676,X675,X674,X673)
| ~ epred2_4(X676,X675,X674,X673) )
& ( X674 = esk53_4(X673,X674,X675,X676)
| X673 = esk48_4(X673,X674,X675,X676)
| X674 = esk45_4(X673,X674,X675,X676)
| epred1_4(X676,X675,X674,X673)
| ~ epred2_4(X676,X675,X674,X673) )
& ( X675 = vabs(esk55_4(X673,X674,X675,X676),esk54_4(X673,X674,X675,X676),esk57_4(X673,X674,X675,X676))
| X673 = esk48_4(X673,X674,X675,X676)
| X674 = esk45_4(X673,X674,X675,X676)
| epred1_4(X676,X675,X674,X673)
| ~ epred2_4(X676,X675,X674,X673) )
& ( esk52_4(X673,X674,X675,X676) != esk55_4(X673,X674,X675,X676)
| X673 = esk48_4(X673,X674,X675,X676)
| X674 = esk45_4(X673,X674,X675,X676)
| epred1_4(X676,X675,X674,X673)
| ~ epred2_4(X676,X675,X674,X673) )
& ( visFreeVar(esk55_4(X673,X674,X675,X676),esk53_4(X673,X674,X675,X676))
| X673 = esk48_4(X673,X674,X675,X676)
| X674 = esk45_4(X673,X674,X675,X676)
| epred1_4(X676,X675,X674,X673)
| ~ epred2_4(X676,X675,X674,X673) )
& ( esk56_4(X673,X674,X675,X676) = vgensym(vapp(vapp(esk53_4(X673,X674,X675,X676),esk57_4(X673,X674,X675,X676)),vvar(esk52_4(X673,X674,X675,X676))))
| X673 = esk48_4(X673,X674,X675,X676)
| X674 = esk45_4(X673,X674,X675,X676)
| epred1_4(X676,X675,X674,X673)
| ~ epred2_4(X676,X675,X674,X673) )
& ( X676 = vsubst(esk52_4(X673,X674,X675,X676),esk53_4(X673,X674,X675,X676),vabs(esk56_4(X673,X674,X675,X676),esk54_4(X673,X674,X675,X676),vsubst(esk55_4(X673,X674,X675,X676),vvar(esk56_4(X673,X674,X675,X676)),esk57_4(X673,X674,X675,X676))))
| X673 = esk48_4(X673,X674,X675,X676)
| X674 = esk45_4(X673,X674,X675,X676)
| epred1_4(X676,X675,X674,X673)
| ~ epred2_4(X676,X675,X674,X673) )
& ( X673 = esk52_4(X673,X674,X675,X676)
| X674 = esk47_4(X673,X674,X675,X676)
| X674 = esk45_4(X673,X674,X675,X676)
| epred1_4(X676,X675,X674,X673)
| ~ epred2_4(X676,X675,X674,X673) )
& ( X674 = esk53_4(X673,X674,X675,X676)
| X674 = esk47_4(X673,X674,X675,X676)
| X674 = esk45_4(X673,X674,X675,X676)
| epred1_4(X676,X675,X674,X673)
| ~ epred2_4(X676,X675,X674,X673) )
& ( X675 = vabs(esk55_4(X673,X674,X675,X676),esk54_4(X673,X674,X675,X676),esk57_4(X673,X674,X675,X676))
| X674 = esk47_4(X673,X674,X675,X676)
| X674 = esk45_4(X673,X674,X675,X676)
| epred1_4(X676,X675,X674,X673)
| ~ epred2_4(X676,X675,X674,X673) )
& ( esk52_4(X673,X674,X675,X676) != esk55_4(X673,X674,X675,X676)
| X674 = esk47_4(X673,X674,X675,X676)
| X674 = esk45_4(X673,X674,X675,X676)
| epred1_4(X676,X675,X674,X673)
| ~ epred2_4(X676,X675,X674,X673) )
& ( visFreeVar(esk55_4(X673,X674,X675,X676),esk53_4(X673,X674,X675,X676))
| X674 = esk47_4(X673,X674,X675,X676)
| X674 = esk45_4(X673,X674,X675,X676)
| epred1_4(X676,X675,X674,X673)
| ~ epred2_4(X676,X675,X674,X673) )
& ( esk56_4(X673,X674,X675,X676) = vgensym(vapp(vapp(esk53_4(X673,X674,X675,X676),esk57_4(X673,X674,X675,X676)),vvar(esk52_4(X673,X674,X675,X676))))
| X674 = esk47_4(X673,X674,X675,X676)
| X674 = esk45_4(X673,X674,X675,X676)
| epred1_4(X676,X675,X674,X673)
| ~ epred2_4(X676,X675,X674,X673) )
& ( X676 = vsubst(esk52_4(X673,X674,X675,X676),esk53_4(X673,X674,X675,X676),vabs(esk56_4(X673,X674,X675,X676),esk54_4(X673,X674,X675,X676),vsubst(esk55_4(X673,X674,X675,X676),vvar(esk56_4(X673,X674,X675,X676)),esk57_4(X673,X674,X675,X676))))
| X674 = esk47_4(X673,X674,X675,X676)
| X674 = esk45_4(X673,X674,X675,X676)
| epred1_4(X676,X675,X674,X673)
| ~ epred2_4(X676,X675,X674,X673) )
& ( X673 = esk52_4(X673,X674,X675,X676)
| X675 = vabs(esk49_4(X673,X674,X675,X676),esk50_4(X673,X674,X675,X676),esk51_4(X673,X674,X675,X676))
| X674 = esk45_4(X673,X674,X675,X676)
| epred1_4(X676,X675,X674,X673)
| ~ epred2_4(X676,X675,X674,X673) )
& ( X674 = esk53_4(X673,X674,X675,X676)
| X675 = vabs(esk49_4(X673,X674,X675,X676),esk50_4(X673,X674,X675,X676),esk51_4(X673,X674,X675,X676))
| X674 = esk45_4(X673,X674,X675,X676)
| epred1_4(X676,X675,X674,X673)
| ~ epred2_4(X676,X675,X674,X673) )
& ( X675 = vabs(esk55_4(X673,X674,X675,X676),esk54_4(X673,X674,X675,X676),esk57_4(X673,X674,X675,X676))
| X675 = vabs(esk49_4(X673,X674,X675,X676),esk50_4(X673,X674,X675,X676),esk51_4(X673,X674,X675,X676))
| X674 = esk45_4(X673,X674,X675,X676)
| epred1_4(X676,X675,X674,X673)
| ~ epred2_4(X676,X675,X674,X673) )
& ( esk52_4(X673,X674,X675,X676) != esk55_4(X673,X674,X675,X676)
| X675 = vabs(esk49_4(X673,X674,X675,X676),esk50_4(X673,X674,X675,X676),esk51_4(X673,X674,X675,X676))
| X674 = esk45_4(X673,X674,X675,X676)
| epred1_4(X676,X675,X674,X673)
| ~ epred2_4(X676,X675,X674,X673) )
& ( visFreeVar(esk55_4(X673,X674,X675,X676),esk53_4(X673,X674,X675,X676))
| X675 = vabs(esk49_4(X673,X674,X675,X676),esk50_4(X673,X674,X675,X676),esk51_4(X673,X674,X675,X676))
| X674 = esk45_4(X673,X674,X675,X676)
| epred1_4(X676,X675,X674,X673)
| ~ epred2_4(X676,X675,X674,X673) )
& ( esk56_4(X673,X674,X675,X676) = vgensym(vapp(vapp(esk53_4(X673,X674,X675,X676),esk57_4(X673,X674,X675,X676)),vvar(esk52_4(X673,X674,X675,X676))))
| X675 = vabs(esk49_4(X673,X674,X675,X676),esk50_4(X673,X674,X675,X676),esk51_4(X673,X674,X675,X676))
| X674 = esk45_4(X673,X674,X675,X676)
| epred1_4(X676,X675,X674,X673)
| ~ epred2_4(X676,X675,X674,X673) )
& ( X676 = vsubst(esk52_4(X673,X674,X675,X676),esk53_4(X673,X674,X675,X676),vabs(esk56_4(X673,X674,X675,X676),esk54_4(X673,X674,X675,X676),vsubst(esk55_4(X673,X674,X675,X676),vvar(esk56_4(X673,X674,X675,X676)),esk57_4(X673,X674,X675,X676))))
| X675 = vabs(esk49_4(X673,X674,X675,X676),esk50_4(X673,X674,X675,X676),esk51_4(X673,X674,X675,X676))
| X674 = esk45_4(X673,X674,X675,X676)
| epred1_4(X676,X675,X674,X673)
| ~ epred2_4(X676,X675,X674,X673) )
& ( X673 = esk52_4(X673,X674,X675,X676)
| esk48_4(X673,X674,X675,X676) = esk49_4(X673,X674,X675,X676)
| X674 = esk45_4(X673,X674,X675,X676)
| epred1_4(X676,X675,X674,X673)
| ~ epred2_4(X676,X675,X674,X673) )
& ( X674 = esk53_4(X673,X674,X675,X676)
| esk48_4(X673,X674,X675,X676) = esk49_4(X673,X674,X675,X676)
| X674 = esk45_4(X673,X674,X675,X676)
| epred1_4(X676,X675,X674,X673)
| ~ epred2_4(X676,X675,X674,X673) )
& ( X675 = vabs(esk55_4(X673,X674,X675,X676),esk54_4(X673,X674,X675,X676),esk57_4(X673,X674,X675,X676))
| esk48_4(X673,X674,X675,X676) = esk49_4(X673,X674,X675,X676)
| X674 = esk45_4(X673,X674,X675,X676)
| epred1_4(X676,X675,X674,X673)
| ~ epred2_4(X676,X675,X674,X673) )
& ( esk52_4(X673,X674,X675,X676) != esk55_4(X673,X674,X675,X676)
| esk48_4(X673,X674,X675,X676) = esk49_4(X673,X674,X675,X676)
| X674 = esk45_4(X673,X674,X675,X676)
| epred1_4(X676,X675,X674,X673)
| ~ epred2_4(X676,X675,X674,X673) )
& ( visFreeVar(esk55_4(X673,X674,X675,X676),esk53_4(X673,X674,X675,X676))
| esk48_4(X673,X674,X675,X676) = esk49_4(X673,X674,X675,X676)
| X674 = esk45_4(X673,X674,X675,X676)
| epred1_4(X676,X675,X674,X673)
| ~ epred2_4(X676,X675,X674,X673) )
& ( esk56_4(X673,X674,X675,X676) = vgensym(vapp(vapp(esk53_4(X673,X674,X675,X676),esk57_4(X673,X674,X675,X676)),vvar(esk52_4(X673,X674,X675,X676))))
| esk48_4(X673,X674,X675,X676) = esk49_4(X673,X674,X675,X676)
| X674 = esk45_4(X673,X674,X675,X676)
| epred1_4(X676,X675,X674,X673)
| ~ epred2_4(X676,X675,X674,X673) )
& ( X676 = vsubst(esk52_4(X673,X674,X675,X676),esk53_4(X673,X674,X675,X676),vabs(esk56_4(X673,X674,X675,X676),esk54_4(X673,X674,X675,X676),vsubst(esk55_4(X673,X674,X675,X676),vvar(esk56_4(X673,X674,X675,X676)),esk57_4(X673,X674,X675,X676))))
| esk48_4(X673,X674,X675,X676) = esk49_4(X673,X674,X675,X676)
| X674 = esk45_4(X673,X674,X675,X676)
| epred1_4(X676,X675,X674,X673)
| ~ epred2_4(X676,X675,X674,X673) )
& ( X673 = esk52_4(X673,X674,X675,X676)
| X676 = vabs(esk49_4(X673,X674,X675,X676),esk50_4(X673,X674,X675,X676),esk51_4(X673,X674,X675,X676))
| X674 = esk45_4(X673,X674,X675,X676)
| epred1_4(X676,X675,X674,X673)
| ~ epred2_4(X676,X675,X674,X673) )
& ( X674 = esk53_4(X673,X674,X675,X676)
| X676 = vabs(esk49_4(X673,X674,X675,X676),esk50_4(X673,X674,X675,X676),esk51_4(X673,X674,X675,X676))
| X674 = esk45_4(X673,X674,X675,X676)
| epred1_4(X676,X675,X674,X673)
| ~ epred2_4(X676,X675,X674,X673) )
& ( X675 = vabs(esk55_4(X673,X674,X675,X676),esk54_4(X673,X674,X675,X676),esk57_4(X673,X674,X675,X676))
| X676 = vabs(esk49_4(X673,X674,X675,X676),esk50_4(X673,X674,X675,X676),esk51_4(X673,X674,X675,X676))
| X674 = esk45_4(X673,X674,X675,X676)
| epred1_4(X676,X675,X674,X673)
| ~ epred2_4(X676,X675,X674,X673) )
& ( esk52_4(X673,X674,X675,X676) != esk55_4(X673,X674,X675,X676)
| X676 = vabs(esk49_4(X673,X674,X675,X676),esk50_4(X673,X674,X675,X676),esk51_4(X673,X674,X675,X676))
| X674 = esk45_4(X673,X674,X675,X676)
| epred1_4(X676,X675,X674,X673)
| ~ epred2_4(X676,X675,X674,X673) )
& ( visFreeVar(esk55_4(X673,X674,X675,X676),esk53_4(X673,X674,X675,X676))
| X676 = vabs(esk49_4(X673,X674,X675,X676),esk50_4(X673,X674,X675,X676),esk51_4(X673,X674,X675,X676))
| X674 = esk45_4(X673,X674,X675,X676)
| epred1_4(X676,X675,X674,X673)
| ~ epred2_4(X676,X675,X674,X673) )
& ( esk56_4(X673,X674,X675,X676) = vgensym(vapp(vapp(esk53_4(X673,X674,X675,X676),esk57_4(X673,X674,X675,X676)),vvar(esk52_4(X673,X674,X675,X676))))
| X676 = vabs(esk49_4(X673,X674,X675,X676),esk50_4(X673,X674,X675,X676),esk51_4(X673,X674,X675,X676))
| X674 = esk45_4(X673,X674,X675,X676)
| epred1_4(X676,X675,X674,X673)
| ~ epred2_4(X676,X675,X674,X673) )
& ( X676 = vsubst(esk52_4(X673,X674,X675,X676),esk53_4(X673,X674,X675,X676),vabs(esk56_4(X673,X674,X675,X676),esk54_4(X673,X674,X675,X676),vsubst(esk55_4(X673,X674,X675,X676),vvar(esk56_4(X673,X674,X675,X676)),esk57_4(X673,X674,X675,X676))))
| X676 = vabs(esk49_4(X673,X674,X675,X676),esk50_4(X673,X674,X675,X676),esk51_4(X673,X674,X675,X676))
| X674 = esk45_4(X673,X674,X675,X676)
| epred1_4(X676,X675,X674,X673)
| ~ epred2_4(X676,X675,X674,X673) )
& ( X673 = esk52_4(X673,X674,X675,X676)
| X673 = esk48_4(X673,X674,X675,X676)
| X675 = vapp(esk43_4(X673,X674,X675,X676),esk46_4(X673,X674,X675,X676))
| epred1_4(X676,X675,X674,X673)
| ~ epred2_4(X676,X675,X674,X673) )
& ( X674 = esk53_4(X673,X674,X675,X676)
| X673 = esk48_4(X673,X674,X675,X676)
| X675 = vapp(esk43_4(X673,X674,X675,X676),esk46_4(X673,X674,X675,X676))
| epred1_4(X676,X675,X674,X673)
| ~ epred2_4(X676,X675,X674,X673) )
& ( X675 = vabs(esk55_4(X673,X674,X675,X676),esk54_4(X673,X674,X675,X676),esk57_4(X673,X674,X675,X676))
| X673 = esk48_4(X673,X674,X675,X676)
| X675 = vapp(esk43_4(X673,X674,X675,X676),esk46_4(X673,X674,X675,X676))
| epred1_4(X676,X675,X674,X673)
| ~ epred2_4(X676,X675,X674,X673) )
& ( esk52_4(X673,X674,X675,X676) != esk55_4(X673,X674,X675,X676)
| X673 = esk48_4(X673,X674,X675,X676)
| X675 = vapp(esk43_4(X673,X674,X675,X676),esk46_4(X673,X674,X675,X676))
| epred1_4(X676,X675,X674,X673)
| ~ epred2_4(X676,X675,X674,X673) )
& ( visFreeVar(esk55_4(X673,X674,X675,X676),esk53_4(X673,X674,X675,X676))
| X673 = esk48_4(X673,X674,X675,X676)
| X675 = vapp(esk43_4(X673,X674,X675,X676),esk46_4(X673,X674,X675,X676))
| epred1_4(X676,X675,X674,X673)
| ~ epred2_4(X676,X675,X674,X673) )
& ( esk56_4(X673,X674,X675,X676) = vgensym(vapp(vapp(esk53_4(X673,X674,X675,X676),esk57_4(X673,X674,X675,X676)),vvar(esk52_4(X673,X674,X675,X676))))
| X673 = esk48_4(X673,X674,X675,X676)
| X675 = vapp(esk43_4(X673,X674,X675,X676),esk46_4(X673,X674,X675,X676))
| epred1_4(X676,X675,X674,X673)
| ~ epred2_4(X676,X675,X674,X673) )
& ( X676 = vsubst(esk52_4(X673,X674,X675,X676),esk53_4(X673,X674,X675,X676),vabs(esk56_4(X673,X674,X675,X676),esk54_4(X673,X674,X675,X676),vsubst(esk55_4(X673,X674,X675,X676),vvar(esk56_4(X673,X674,X675,X676)),esk57_4(X673,X674,X675,X676))))
| X673 = esk48_4(X673,X674,X675,X676)
| X675 = vapp(esk43_4(X673,X674,X675,X676),esk46_4(X673,X674,X675,X676))
| epred1_4(X676,X675,X674,X673)
| ~ epred2_4(X676,X675,X674,X673) )
& ( X673 = esk52_4(X673,X674,X675,X676)
| X674 = esk47_4(X673,X674,X675,X676)
| X675 = vapp(esk43_4(X673,X674,X675,X676),esk46_4(X673,X674,X675,X676))
| epred1_4(X676,X675,X674,X673)
| ~ epred2_4(X676,X675,X674,X673) )
& ( X674 = esk53_4(X673,X674,X675,X676)
| X674 = esk47_4(X673,X674,X675,X676)
| X675 = vapp(esk43_4(X673,X674,X675,X676),esk46_4(X673,X674,X675,X676))
| epred1_4(X676,X675,X674,X673)
| ~ epred2_4(X676,X675,X674,X673) )
& ( X675 = vabs(esk55_4(X673,X674,X675,X676),esk54_4(X673,X674,X675,X676),esk57_4(X673,X674,X675,X676))
| X674 = esk47_4(X673,X674,X675,X676)
| X675 = vapp(esk43_4(X673,X674,X675,X676),esk46_4(X673,X674,X675,X676))
| epred1_4(X676,X675,X674,X673)
| ~ epred2_4(X676,X675,X674,X673) )
& ( esk52_4(X673,X674,X675,X676) != esk55_4(X673,X674,X675,X676)
| X674 = esk47_4(X673,X674,X675,X676)
| X675 = vapp(esk43_4(X673,X674,X675,X676),esk46_4(X673,X674,X675,X676))
| epred1_4(X676,X675,X674,X673)
| ~ epred2_4(X676,X675,X674,X673) )
& ( visFreeVar(esk55_4(X673,X674,X675,X676),esk53_4(X673,X674,X675,X676))
| X674 = esk47_4(X673,X674,X675,X676)
| X675 = vapp(esk43_4(X673,X674,X675,X676),esk46_4(X673,X674,X675,X676))
| epred1_4(X676,X675,X674,X673)
| ~ epred2_4(X676,X675,X674,X673) )
& ( esk56_4(X673,X674,X675,X676) = vgensym(vapp(vapp(esk53_4(X673,X674,X675,X676),esk57_4(X673,X674,X675,X676)),vvar(esk52_4(X673,X674,X675,X676))))
| X674 = esk47_4(X673,X674,X675,X676)
| X675 = vapp(esk43_4(X673,X674,X675,X676),esk46_4(X673,X674,X675,X676))
| epred1_4(X676,X675,X674,X673)
| ~ epred2_4(X676,X675,X674,X673) )
& ( X676 = vsubst(esk52_4(X673,X674,X675,X676),esk53_4(X673,X674,X675,X676),vabs(esk56_4(X673,X674,X675,X676),esk54_4(X673,X674,X675,X676),vsubst(esk55_4(X673,X674,X675,X676),vvar(esk56_4(X673,X674,X675,X676)),esk57_4(X673,X674,X675,X676))))
| X674 = esk47_4(X673,X674,X675,X676)
| X675 = vapp(esk43_4(X673,X674,X675,X676),esk46_4(X673,X674,X675,X676))
| epred1_4(X676,X675,X674,X673)
| ~ epred2_4(X676,X675,X674,X673) )
& ( X673 = esk52_4(X673,X674,X675,X676)
| X675 = vabs(esk49_4(X673,X674,X675,X676),esk50_4(X673,X674,X675,X676),esk51_4(X673,X674,X675,X676))
| X675 = vapp(esk43_4(X673,X674,X675,X676),esk46_4(X673,X674,X675,X676))
| epred1_4(X676,X675,X674,X673)
| ~ epred2_4(X676,X675,X674,X673) )
& ( X674 = esk53_4(X673,X674,X675,X676)
| X675 = vabs(esk49_4(X673,X674,X675,X676),esk50_4(X673,X674,X675,X676),esk51_4(X673,X674,X675,X676))
| X675 = vapp(esk43_4(X673,X674,X675,X676),esk46_4(X673,X674,X675,X676))
| epred1_4(X676,X675,X674,X673)
| ~ epred2_4(X676,X675,X674,X673) )
& ( X675 = vabs(esk55_4(X673,X674,X675,X676),esk54_4(X673,X674,X675,X676),esk57_4(X673,X674,X675,X676))
| X675 = vabs(esk49_4(X673,X674,X675,X676),esk50_4(X673,X674,X675,X676),esk51_4(X673,X674,X675,X676))
| X675 = vapp(esk43_4(X673,X674,X675,X676),esk46_4(X673,X674,X675,X676))
| epred1_4(X676,X675,X674,X673)
| ~ epred2_4(X676,X675,X674,X673) )
& ( esk52_4(X673,X674,X675,X676) != esk55_4(X673,X674,X675,X676)
| X675 = vabs(esk49_4(X673,X674,X675,X676),esk50_4(X673,X674,X675,X676),esk51_4(X673,X674,X675,X676))
| X675 = vapp(esk43_4(X673,X674,X675,X676),esk46_4(X673,X674,X675,X676))
| epred1_4(X676,X675,X674,X673)
| ~ epred2_4(X676,X675,X674,X673) )
& ( visFreeVar(esk55_4(X673,X674,X675,X676),esk53_4(X673,X674,X675,X676))
| X675 = vabs(esk49_4(X673,X674,X675,X676),esk50_4(X673,X674,X675,X676),esk51_4(X673,X674,X675,X676))
| X675 = vapp(esk43_4(X673,X674,X675,X676),esk46_4(X673,X674,X675,X676))
| epred1_4(X676,X675,X674,X673)
| ~ epred2_4(X676,X675,X674,X673) )
& ( esk56_4(X673,X674,X675,X676) = vgensym(vapp(vapp(esk53_4(X673,X674,X675,X676),esk57_4(X673,X674,X675,X676)),vvar(esk52_4(X673,X674,X675,X676))))
| X675 = vabs(esk49_4(X673,X674,X675,X676),esk50_4(X673,X674,X675,X676),esk51_4(X673,X674,X675,X676))
| X675 = vapp(esk43_4(X673,X674,X675,X676),esk46_4(X673,X674,X675,X676))
| epred1_4(X676,X675,X674,X673)
| ~ epred2_4(X676,X675,X674,X673) )
& ( X676 = vsubst(esk52_4(X673,X674,X675,X676),esk53_4(X673,X674,X675,X676),vabs(esk56_4(X673,X674,X675,X676),esk54_4(X673,X674,X675,X676),vsubst(esk55_4(X673,X674,X675,X676),vvar(esk56_4(X673,X674,X675,X676)),esk57_4(X673,X674,X675,X676))))
| X675 = vabs(esk49_4(X673,X674,X675,X676),esk50_4(X673,X674,X675,X676),esk51_4(X673,X674,X675,X676))
| X675 = vapp(esk43_4(X673,X674,X675,X676),esk46_4(X673,X674,X675,X676))
| epred1_4(X676,X675,X674,X673)
| ~ epred2_4(X676,X675,X674,X673) )
& ( X673 = esk52_4(X673,X674,X675,X676)
| esk48_4(X673,X674,X675,X676) = esk49_4(X673,X674,X675,X676)
| X675 = vapp(esk43_4(X673,X674,X675,X676),esk46_4(X673,X674,X675,X676))
| epred1_4(X676,X675,X674,X673)
| ~ epred2_4(X676,X675,X674,X673) )
& ( X674 = esk53_4(X673,X674,X675,X676)
| esk48_4(X673,X674,X675,X676) = esk49_4(X673,X674,X675,X676)
| X675 = vapp(esk43_4(X673,X674,X675,X676),esk46_4(X673,X674,X675,X676))
| epred1_4(X676,X675,X674,X673)
| ~ epred2_4(X676,X675,X674,X673) )
& ( X675 = vabs(esk55_4(X673,X674,X675,X676),esk54_4(X673,X674,X675,X676),esk57_4(X673,X674,X675,X676))
| esk48_4(X673,X674,X675,X676) = esk49_4(X673,X674,X675,X676)
| X675 = vapp(esk43_4(X673,X674,X675,X676),esk46_4(X673,X674,X675,X676))
| epred1_4(X676,X675,X674,X673)
| ~ epred2_4(X676,X675,X674,X673) )
& ( esk52_4(X673,X674,X675,X676) != esk55_4(X673,X674,X675,X676)
| esk48_4(X673,X674,X675,X676) = esk49_4(X673,X674,X675,X676)
| X675 = vapp(esk43_4(X673,X674,X675,X676),esk46_4(X673,X674,X675,X676))
| epred1_4(X676,X675,X674,X673)
| ~ epred2_4(X676,X675,X674,X673) )
& ( visFreeVar(esk55_4(X673,X674,X675,X676),esk53_4(X673,X674,X675,X676))
| esk48_4(X673,X674,X675,X676) = esk49_4(X673,X674,X675,X676)
| X675 = vapp(esk43_4(X673,X674,X675,X676),esk46_4(X673,X674,X675,X676))
| epred1_4(X676,X675,X674,X673)
| ~ epred2_4(X676,X675,X674,X673) )
& ( esk56_4(X673,X674,X675,X676) = vgensym(vapp(vapp(esk53_4(X673,X674,X675,X676),esk57_4(X673,X674,X675,X676)),vvar(esk52_4(X673,X674,X675,X676))))
| esk48_4(X673,X674,X675,X676) = esk49_4(X673,X674,X675,X676)
| X675 = vapp(esk43_4(X673,X674,X675,X676),esk46_4(X673,X674,X675,X676))
| epred1_4(X676,X675,X674,X673)
| ~ epred2_4(X676,X675,X674,X673) )
& ( X676 = vsubst(esk52_4(X673,X674,X675,X676),esk53_4(X673,X674,X675,X676),vabs(esk56_4(X673,X674,X675,X676),esk54_4(X673,X674,X675,X676),vsubst(esk55_4(X673,X674,X675,X676),vvar(esk56_4(X673,X674,X675,X676)),esk57_4(X673,X674,X675,X676))))
| esk48_4(X673,X674,X675,X676) = esk49_4(X673,X674,X675,X676)
| X675 = vapp(esk43_4(X673,X674,X675,X676),esk46_4(X673,X674,X675,X676))
| epred1_4(X676,X675,X674,X673)
| ~ epred2_4(X676,X675,X674,X673) )
& ( X673 = esk52_4(X673,X674,X675,X676)
| X676 = vabs(esk49_4(X673,X674,X675,X676),esk50_4(X673,X674,X675,X676),esk51_4(X673,X674,X675,X676))
| X675 = vapp(esk43_4(X673,X674,X675,X676),esk46_4(X673,X674,X675,X676))
| epred1_4(X676,X675,X674,X673)
| ~ epred2_4(X676,X675,X674,X673) )
& ( X674 = esk53_4(X673,X674,X675,X676)
| X676 = vabs(esk49_4(X673,X674,X675,X676),esk50_4(X673,X674,X675,X676),esk51_4(X673,X674,X675,X676))
| X675 = vapp(esk43_4(X673,X674,X675,X676),esk46_4(X673,X674,X675,X676))
| epred1_4(X676,X675,X674,X673)
| ~ epred2_4(X676,X675,X674,X673) )
& ( X675 = vabs(esk55_4(X673,X674,X675,X676),esk54_4(X673,X674,X675,X676),esk57_4(X673,X674,X675,X676))
| X676 = vabs(esk49_4(X673,X674,X675,X676),esk50_4(X673,X674,X675,X676),esk51_4(X673,X674,X675,X676))
| X675 = vapp(esk43_4(X673,X674,X675,X676),esk46_4(X673,X674,X675,X676))
| epred1_4(X676,X675,X674,X673)
| ~ epred2_4(X676,X675,X674,X673) )
& ( esk52_4(X673,X674,X675,X676) != esk55_4(X673,X674,X675,X676)
| X676 = vabs(esk49_4(X673,X674,X675,X676),esk50_4(X673,X674,X675,X676),esk51_4(X673,X674,X675,X676))
| X675 = vapp(esk43_4(X673,X674,X675,X676),esk46_4(X673,X674,X675,X676))
| epred1_4(X676,X675,X674,X673)
| ~ epred2_4(X676,X675,X674,X673) )
& ( visFreeVar(esk55_4(X673,X674,X675,X676),esk53_4(X673,X674,X675,X676))
| X676 = vabs(esk49_4(X673,X674,X675,X676),esk50_4(X673,X674,X675,X676),esk51_4(X673,X674,X675,X676))
| X675 = vapp(esk43_4(X673,X674,X675,X676),esk46_4(X673,X674,X675,X676))
| epred1_4(X676,X675,X674,X673)
| ~ epred2_4(X676,X675,X674,X673) )
& ( esk56_4(X673,X674,X675,X676) = vgensym(vapp(vapp(esk53_4(X673,X674,X675,X676),esk57_4(X673,X674,X675,X676)),vvar(esk52_4(X673,X674,X675,X676))))
| X676 = vabs(esk49_4(X673,X674,X675,X676),esk50_4(X673,X674,X675,X676),esk51_4(X673,X674,X675,X676))
| X675 = vapp(esk43_4(X673,X674,X675,X676),esk46_4(X673,X674,X675,X676))
| epred1_4(X676,X675,X674,X673)
| ~ epred2_4(X676,X675,X674,X673) )
& ( X676 = vsubst(esk52_4(X673,X674,X675,X676),esk53_4(X673,X674,X675,X676),vabs(esk56_4(X673,X674,X675,X676),esk54_4(X673,X674,X675,X676),vsubst(esk55_4(X673,X674,X675,X676),vvar(esk56_4(X673,X674,X675,X676)),esk57_4(X673,X674,X675,X676))))
| X676 = vabs(esk49_4(X673,X674,X675,X676),esk50_4(X673,X674,X675,X676),esk51_4(X673,X674,X675,X676))
| X675 = vapp(esk43_4(X673,X674,X675,X676),esk46_4(X673,X674,X675,X676))
| epred1_4(X676,X675,X674,X673)
| ~ epred2_4(X676,X675,X674,X673) )
& ( X673 = esk52_4(X673,X674,X675,X676)
| X673 = esk48_4(X673,X674,X675,X676)
| X676 = vapp(vsubst(esk44_4(X673,X674,X675,X676),esk45_4(X673,X674,X675,X676),esk43_4(X673,X674,X675,X676)),vsubst(esk44_4(X673,X674,X675,X676),esk45_4(X673,X674,X675,X676),esk46_4(X673,X674,X675,X676)))
| epred1_4(X676,X675,X674,X673)
| ~ epred2_4(X676,X675,X674,X673) )
& ( X674 = esk53_4(X673,X674,X675,X676)
| X673 = esk48_4(X673,X674,X675,X676)
| X676 = vapp(vsubst(esk44_4(X673,X674,X675,X676),esk45_4(X673,X674,X675,X676),esk43_4(X673,X674,X675,X676)),vsubst(esk44_4(X673,X674,X675,X676),esk45_4(X673,X674,X675,X676),esk46_4(X673,X674,X675,X676)))
| epred1_4(X676,X675,X674,X673)
| ~ epred2_4(X676,X675,X674,X673) )
& ( X675 = vabs(esk55_4(X673,X674,X675,X676),esk54_4(X673,X674,X675,X676),esk57_4(X673,X674,X675,X676))
| X673 = esk48_4(X673,X674,X675,X676)
| X676 = vapp(vsubst(esk44_4(X673,X674,X675,X676),esk45_4(X673,X674,X675,X676),esk43_4(X673,X674,X675,X676)),vsubst(esk44_4(X673,X674,X675,X676),esk45_4(X673,X674,X675,X676),esk46_4(X673,X674,X675,X676)))
| epred1_4(X676,X675,X674,X673)
| ~ epred2_4(X676,X675,X674,X673) )
& ( esk52_4(X673,X674,X675,X676) != esk55_4(X673,X674,X675,X676)
| X673 = esk48_4(X673,X674,X675,X676)
| X676 = vapp(vsubst(esk44_4(X673,X674,X675,X676),esk45_4(X673,X674,X675,X676),esk43_4(X673,X674,X675,X676)),vsubst(esk44_4(X673,X674,X675,X676),esk45_4(X673,X674,X675,X676),esk46_4(X673,X674,X675,X676)))
| epred1_4(X676,X675,X674,X673)
| ~ epred2_4(X676,X675,X674,X673) )
& ( visFreeVar(esk55_4(X673,X674,X675,X676),esk53_4(X673,X674,X675,X676))
| X673 = esk48_4(X673,X674,X675,X676)
| X676 = vapp(vsubst(esk44_4(X673,X674,X675,X676),esk45_4(X673,X674,X675,X676),esk43_4(X673,X674,X675,X676)),vsubst(esk44_4(X673,X674,X675,X676),esk45_4(X673,X674,X675,X676),esk46_4(X673,X674,X675,X676)))
| epred1_4(X676,X675,X674,X673)
| ~ epred2_4(X676,X675,X674,X673) )
& ( esk56_4(X673,X674,X675,X676) = vgensym(vapp(vapp(esk53_4(X673,X674,X675,X676),esk57_4(X673,X674,X675,X676)),vvar(esk52_4(X673,X674,X675,X676))))
| X673 = esk48_4(X673,X674,X675,X676)
| X676 = vapp(vsubst(esk44_4(X673,X674,X675,X676),esk45_4(X673,X674,X675,X676),esk43_4(X673,X674,X675,X676)),vsubst(esk44_4(X673,X674,X675,X676),esk45_4(X673,X674,X675,X676),esk46_4(X673,X674,X675,X676)))
| epred1_4(X676,X675,X674,X673)
| ~ epred2_4(X676,X675,X674,X673) )
& ( X676 = vsubst(esk52_4(X673,X674,X675,X676),esk53_4(X673,X674,X675,X676),vabs(esk56_4(X673,X674,X675,X676),esk54_4(X673,X674,X675,X676),vsubst(esk55_4(X673,X674,X675,X676),vvar(esk56_4(X673,X674,X675,X676)),esk57_4(X673,X674,X675,X676))))
| X673 = esk48_4(X673,X674,X675,X676)
| X676 = vapp(vsubst(esk44_4(X673,X674,X675,X676),esk45_4(X673,X674,X675,X676),esk43_4(X673,X674,X675,X676)),vsubst(esk44_4(X673,X674,X675,X676),esk45_4(X673,X674,X675,X676),esk46_4(X673,X674,X675,X676)))
| epred1_4(X676,X675,X674,X673)
| ~ epred2_4(X676,X675,X674,X673) )
& ( X673 = esk52_4(X673,X674,X675,X676)
| X674 = esk47_4(X673,X674,X675,X676)
| X676 = vapp(vsubst(esk44_4(X673,X674,X675,X676),esk45_4(X673,X674,X675,X676),esk43_4(X673,X674,X675,X676)),vsubst(esk44_4(X673,X674,X675,X676),esk45_4(X673,X674,X675,X676),esk46_4(X673,X674,X675,X676)))
| epred1_4(X676,X675,X674,X673)
| ~ epred2_4(X676,X675,X674,X673) )
& ( X674 = esk53_4(X673,X674,X675,X676)
| X674 = esk47_4(X673,X674,X675,X676)
| X676 = vapp(vsubst(esk44_4(X673,X674,X675,X676),esk45_4(X673,X674,X675,X676),esk43_4(X673,X674,X675,X676)),vsubst(esk44_4(X673,X674,X675,X676),esk45_4(X673,X674,X675,X676),esk46_4(X673,X674,X675,X676)))
| epred1_4(X676,X675,X674,X673)
| ~ epred2_4(X676,X675,X674,X673) )
& ( X675 = vabs(esk55_4(X673,X674,X675,X676),esk54_4(X673,X674,X675,X676),esk57_4(X673,X674,X675,X676))
| X674 = esk47_4(X673,X674,X675,X676)
| X676 = vapp(vsubst(esk44_4(X673,X674,X675,X676),esk45_4(X673,X674,X675,X676),esk43_4(X673,X674,X675,X676)),vsubst(esk44_4(X673,X674,X675,X676),esk45_4(X673,X674,X675,X676),esk46_4(X673,X674,X675,X676)))
| epred1_4(X676,X675,X674,X673)
| ~ epred2_4(X676,X675,X674,X673) )
& ( esk52_4(X673,X674,X675,X676) != esk55_4(X673,X674,X675,X676)
| X674 = esk47_4(X673,X674,X675,X676)
| X676 = vapp(vsubst(esk44_4(X673,X674,X675,X676),esk45_4(X673,X674,X675,X676),esk43_4(X673,X674,X675,X676)),vsubst(esk44_4(X673,X674,X675,X676),esk45_4(X673,X674,X675,X676),esk46_4(X673,X674,X675,X676)))
| epred1_4(X676,X675,X674,X673)
| ~ epred2_4(X676,X675,X674,X673) )
& ( visFreeVar(esk55_4(X673,X674,X675,X676),esk53_4(X673,X674,X675,X676))
| X674 = esk47_4(X673,X674,X675,X676)
| X676 = vapp(vsubst(esk44_4(X673,X674,X675,X676),esk45_4(X673,X674,X675,X676),esk43_4(X673,X674,X675,X676)),vsubst(esk44_4(X673,X674,X675,X676),esk45_4(X673,X674,X675,X676),esk46_4(X673,X674,X675,X676)))
| epred1_4(X676,X675,X674,X673)
| ~ epred2_4(X676,X675,X674,X673) )
& ( esk56_4(X673,X674,X675,X676) = vgensym(vapp(vapp(esk53_4(X673,X674,X675,X676),esk57_4(X673,X674,X675,X676)),vvar(esk52_4(X673,X674,X675,X676))))
| X674 = esk47_4(X673,X674,X675,X676)
| X676 = vapp(vsubst(esk44_4(X673,X674,X675,X676),esk45_4(X673,X674,X675,X676),esk43_4(X673,X674,X675,X676)),vsubst(esk44_4(X673,X674,X675,X676),esk45_4(X673,X674,X675,X676),esk46_4(X673,X674,X675,X676)))
| epred1_4(X676,X675,X674,X673)
| ~ epred2_4(X676,X675,X674,X673) )
& ( X676 = vsubst(esk52_4(X673,X674,X675,X676),esk53_4(X673,X674,X675,X676),vabs(esk56_4(X673,X674,X675,X676),esk54_4(X673,X674,X675,X676),vsubst(esk55_4(X673,X674,X675,X676),vvar(esk56_4(X673,X674,X675,X676)),esk57_4(X673,X674,X675,X676))))
| X674 = esk47_4(X673,X674,X675,X676)
| X676 = vapp(vsubst(esk44_4(X673,X674,X675,X676),esk45_4(X673,X674,X675,X676),esk43_4(X673,X674,X675,X676)),vsubst(esk44_4(X673,X674,X675,X676),esk45_4(X673,X674,X675,X676),esk46_4(X673,X674,X675,X676)))
| epred1_4(X676,X675,X674,X673)
| ~ epred2_4(X676,X675,X674,X673) )
& ( X673 = esk52_4(X673,X674,X675,X676)
| X675 = vabs(esk49_4(X673,X674,X675,X676),esk50_4(X673,X674,X675,X676),esk51_4(X673,X674,X675,X676))
| X676 = vapp(vsubst(esk44_4(X673,X674,X675,X676),esk45_4(X673,X674,X675,X676),esk43_4(X673,X674,X675,X676)),vsubst(esk44_4(X673,X674,X675,X676),esk45_4(X673,X674,X675,X676),esk46_4(X673,X674,X675,X676)))
| epred1_4(X676,X675,X674,X673)
| ~ epred2_4(X676,X675,X674,X673) )
& ( X674 = esk53_4(X673,X674,X675,X676)
| X675 = vabs(esk49_4(X673,X674,X675,X676),esk50_4(X673,X674,X675,X676),esk51_4(X673,X674,X675,X676))
| X676 = vapp(vsubst(esk44_4(X673,X674,X675,X676),esk45_4(X673,X674,X675,X676),esk43_4(X673,X674,X675,X676)),vsubst(esk44_4(X673,X674,X675,X676),esk45_4(X673,X674,X675,X676),esk46_4(X673,X674,X675,X676)))
| epred1_4(X676,X675,X674,X673)
| ~ epred2_4(X676,X675,X674,X673) )
& ( X675 = vabs(esk55_4(X673,X674,X675,X676),esk54_4(X673,X674,X675,X676),esk57_4(X673,X674,X675,X676))
| X675 = vabs(esk49_4(X673,X674,X675,X676),esk50_4(X673,X674,X675,X676),esk51_4(X673,X674,X675,X676))
| X676 = vapp(vsubst(esk44_4(X673,X674,X675,X676),esk45_4(X673,X674,X675,X676),esk43_4(X673,X674,X675,X676)),vsubst(esk44_4(X673,X674,X675,X676),esk45_4(X673,X674,X675,X676),esk46_4(X673,X674,X675,X676)))
| epred1_4(X676,X675,X674,X673)
| ~ epred2_4(X676,X675,X674,X673) )
& ( esk52_4(X673,X674,X675,X676) != esk55_4(X673,X674,X675,X676)
| X675 = vabs(esk49_4(X673,X674,X675,X676),esk50_4(X673,X674,X675,X676),esk51_4(X673,X674,X675,X676))
| X676 = vapp(vsubst(esk44_4(X673,X674,X675,X676),esk45_4(X673,X674,X675,X676),esk43_4(X673,X674,X675,X676)),vsubst(esk44_4(X673,X674,X675,X676),esk45_4(X673,X674,X675,X676),esk46_4(X673,X674,X675,X676)))
| epred1_4(X676,X675,X674,X673)
| ~ epred2_4(X676,X675,X674,X673) )
& ( visFreeVar(esk55_4(X673,X674,X675,X676),esk53_4(X673,X674,X675,X676))
| X675 = vabs(esk49_4(X673,X674,X675,X676),esk50_4(X673,X674,X675,X676),esk51_4(X673,X674,X675,X676))
| X676 = vapp(vsubst(esk44_4(X673,X674,X675,X676),esk45_4(X673,X674,X675,X676),esk43_4(X673,X674,X675,X676)),vsubst(esk44_4(X673,X674,X675,X676),esk45_4(X673,X674,X675,X676),esk46_4(X673,X674,X675,X676)))
| epred1_4(X676,X675,X674,X673)
| ~ epred2_4(X676,X675,X674,X673) )
& ( esk56_4(X673,X674,X675,X676) = vgensym(vapp(vapp(esk53_4(X673,X674,X675,X676),esk57_4(X673,X674,X675,X676)),vvar(esk52_4(X673,X674,X675,X676))))
| X675 = vabs(esk49_4(X673,X674,X675,X676),esk50_4(X673,X674,X675,X676),esk51_4(X673,X674,X675,X676))
| X676 = vapp(vsubst(esk44_4(X673,X674,X675,X676),esk45_4(X673,X674,X675,X676),esk43_4(X673,X674,X675,X676)),vsubst(esk44_4(X673,X674,X675,X676),esk45_4(X673,X674,X675,X676),esk46_4(X673,X674,X675,X676)))
| epred1_4(X676,X675,X674,X673)
| ~ epred2_4(X676,X675,X674,X673) )
& ( X676 = vsubst(esk52_4(X673,X674,X675,X676),esk53_4(X673,X674,X675,X676),vabs(esk56_4(X673,X674,X675,X676),esk54_4(X673,X674,X675,X676),vsubst(esk55_4(X673,X674,X675,X676),vvar(esk56_4(X673,X674,X675,X676)),esk57_4(X673,X674,X675,X676))))
| X675 = vabs(esk49_4(X673,X674,X675,X676),esk50_4(X673,X674,X675,X676),esk51_4(X673,X674,X675,X676))
| X676 = vapp(vsubst(esk44_4(X673,X674,X675,X676),esk45_4(X673,X674,X675,X676),esk43_4(X673,X674,X675,X676)),vsubst(esk44_4(X673,X674,X675,X676),esk45_4(X673,X674,X675,X676),esk46_4(X673,X674,X675,X676)))
| epred1_4(X676,X675,X674,X673)
| ~ epred2_4(X676,X675,X674,X673) )
& ( X673 = esk52_4(X673,X674,X675,X676)
| esk48_4(X673,X674,X675,X676) = esk49_4(X673,X674,X675,X676)
| X676 = vapp(vsubst(esk44_4(X673,X674,X675,X676),esk45_4(X673,X674,X675,X676),esk43_4(X673,X674,X675,X676)),vsubst(esk44_4(X673,X674,X675,X676),esk45_4(X673,X674,X675,X676),esk46_4(X673,X674,X675,X676)))
| epred1_4(X676,X675,X674,X673)
| ~ epred2_4(X676,X675,X674,X673) )
& ( X674 = esk53_4(X673,X674,X675,X676)
| esk48_4(X673,X674,X675,X676) = esk49_4(X673,X674,X675,X676)
| X676 = vapp(vsubst(esk44_4(X673,X674,X675,X676),esk45_4(X673,X674,X675,X676),esk43_4(X673,X674,X675,X676)),vsubst(esk44_4(X673,X674,X675,X676),esk45_4(X673,X674,X675,X676),esk46_4(X673,X674,X675,X676)))
| epred1_4(X676,X675,X674,X673)
| ~ epred2_4(X676,X675,X674,X673) )
& ( X675 = vabs(esk55_4(X673,X674,X675,X676),esk54_4(X673,X674,X675,X676),esk57_4(X673,X674,X675,X676))
| esk48_4(X673,X674,X675,X676) = esk49_4(X673,X674,X675,X676)
| X676 = vapp(vsubst(esk44_4(X673,X674,X675,X676),esk45_4(X673,X674,X675,X676),esk43_4(X673,X674,X675,X676)),vsubst(esk44_4(X673,X674,X675,X676),esk45_4(X673,X674,X675,X676),esk46_4(X673,X674,X675,X676)))
| epred1_4(X676,X675,X674,X673)
| ~ epred2_4(X676,X675,X674,X673) )
& ( esk52_4(X673,X674,X675,X676) != esk55_4(X673,X674,X675,X676)
| esk48_4(X673,X674,X675,X676) = esk49_4(X673,X674,X675,X676)
| X676 = vapp(vsubst(esk44_4(X673,X674,X675,X676),esk45_4(X673,X674,X675,X676),esk43_4(X673,X674,X675,X676)),vsubst(esk44_4(X673,X674,X675,X676),esk45_4(X673,X674,X675,X676),esk46_4(X673,X674,X675,X676)))
| epred1_4(X676,X675,X674,X673)
| ~ epred2_4(X676,X675,X674,X673) )
& ( visFreeVar(esk55_4(X673,X674,X675,X676),esk53_4(X673,X674,X675,X676))
| esk48_4(X673,X674,X675,X676) = esk49_4(X673,X674,X675,X676)
| X676 = vapp(vsubst(esk44_4(X673,X674,X675,X676),esk45_4(X673,X674,X675,X676),esk43_4(X673,X674,X675,X676)),vsubst(esk44_4(X673,X674,X675,X676),esk45_4(X673,X674,X675,X676),esk46_4(X673,X674,X675,X676)))
| epred1_4(X676,X675,X674,X673)
| ~ epred2_4(X676,X675,X674,X673) )
& ( esk56_4(X673,X674,X675,X676) = vgensym(vapp(vapp(esk53_4(X673,X674,X675,X676),esk57_4(X673,X674,X675,X676)),vvar(esk52_4(X673,X674,X675,X676))))
| esk48_4(X673,X674,X675,X676) = esk49_4(X673,X674,X675,X676)
| X676 = vapp(vsubst(esk44_4(X673,X674,X675,X676),esk45_4(X673,X674,X675,X676),esk43_4(X673,X674,X675,X676)),vsubst(esk44_4(X673,X674,X675,X676),esk45_4(X673,X674,X675,X676),esk46_4(X673,X674,X675,X676)))
| epred1_4(X676,X675,X674,X673)
| ~ epred2_4(X676,X675,X674,X673) )
& ( X676 = vsubst(esk52_4(X673,X674,X675,X676),esk53_4(X673,X674,X675,X676),vabs(esk56_4(X673,X674,X675,X676),esk54_4(X673,X674,X675,X676),vsubst(esk55_4(X673,X674,X675,X676),vvar(esk56_4(X673,X674,X675,X676)),esk57_4(X673,X674,X675,X676))))
| esk48_4(X673,X674,X675,X676) = esk49_4(X673,X674,X675,X676)
| X676 = vapp(vsubst(esk44_4(X673,X674,X675,X676),esk45_4(X673,X674,X675,X676),esk43_4(X673,X674,X675,X676)),vsubst(esk44_4(X673,X674,X675,X676),esk45_4(X673,X674,X675,X676),esk46_4(X673,X674,X675,X676)))
| epred1_4(X676,X675,X674,X673)
| ~ epred2_4(X676,X675,X674,X673) )
& ( X673 = esk52_4(X673,X674,X675,X676)
| X676 = vabs(esk49_4(X673,X674,X675,X676),esk50_4(X673,X674,X675,X676),esk51_4(X673,X674,X675,X676))
| X676 = vapp(vsubst(esk44_4(X673,X674,X675,X676),esk45_4(X673,X674,X675,X676),esk43_4(X673,X674,X675,X676)),vsubst(esk44_4(X673,X674,X675,X676),esk45_4(X673,X674,X675,X676),esk46_4(X673,X674,X675,X676)))
| epred1_4(X676,X675,X674,X673)
| ~ epred2_4(X676,X675,X674,X673) )
& ( X674 = esk53_4(X673,X674,X675,X676)
| X676 = vabs(esk49_4(X673,X674,X675,X676),esk50_4(X673,X674,X675,X676),esk51_4(X673,X674,X675,X676))
| X676 = vapp(vsubst(esk44_4(X673,X674,X675,X676),esk45_4(X673,X674,X675,X676),esk43_4(X673,X674,X675,X676)),vsubst(esk44_4(X673,X674,X675,X676),esk45_4(X673,X674,X675,X676),esk46_4(X673,X674,X675,X676)))
| epred1_4(X676,X675,X674,X673)
| ~ epred2_4(X676,X675,X674,X673) )
& ( X675 = vabs(esk55_4(X673,X674,X675,X676),esk54_4(X673,X674,X675,X676),esk57_4(X673,X674,X675,X676))
| X676 = vabs(esk49_4(X673,X674,X675,X676),esk50_4(X673,X674,X675,X676),esk51_4(X673,X674,X675,X676))
| X676 = vapp(vsubst(esk44_4(X673,X674,X675,X676),esk45_4(X673,X674,X675,X676),esk43_4(X673,X674,X675,X676)),vsubst(esk44_4(X673,X674,X675,X676),esk45_4(X673,X674,X675,X676),esk46_4(X673,X674,X675,X676)))
| epred1_4(X676,X675,X674,X673)
| ~ epred2_4(X676,X675,X674,X673) )
& ( esk52_4(X673,X674,X675,X676) != esk55_4(X673,X674,X675,X676)
| X676 = vabs(esk49_4(X673,X674,X675,X676),esk50_4(X673,X674,X675,X676),esk51_4(X673,X674,X675,X676))
| X676 = vapp(vsubst(esk44_4(X673,X674,X675,X676),esk45_4(X673,X674,X675,X676),esk43_4(X673,X674,X675,X676)),vsubst(esk44_4(X673,X674,X675,X676),esk45_4(X673,X674,X675,X676),esk46_4(X673,X674,X675,X676)))
| epred1_4(X676,X675,X674,X673)
| ~ epred2_4(X676,X675,X674,X673) )
& ( visFreeVar(esk55_4(X673,X674,X675,X676),esk53_4(X673,X674,X675,X676))
| X676 = vabs(esk49_4(X673,X674,X675,X676),esk50_4(X673,X674,X675,X676),esk51_4(X673,X674,X675,X676))
| X676 = vapp(vsubst(esk44_4(X673,X674,X675,X676),esk45_4(X673,X674,X675,X676),esk43_4(X673,X674,X675,X676)),vsubst(esk44_4(X673,X674,X675,X676),esk45_4(X673,X674,X675,X676),esk46_4(X673,X674,X675,X676)))
| epred1_4(X676,X675,X674,X673)
| ~ epred2_4(X676,X675,X674,X673) )
& ( esk56_4(X673,X674,X675,X676) = vgensym(vapp(vapp(esk53_4(X673,X674,X675,X676),esk57_4(X673,X674,X675,X676)),vvar(esk52_4(X673,X674,X675,X676))))
| X676 = vabs(esk49_4(X673,X674,X675,X676),esk50_4(X673,X674,X675,X676),esk51_4(X673,X674,X675,X676))
| X676 = vapp(vsubst(esk44_4(X673,X674,X675,X676),esk45_4(X673,X674,X675,X676),esk43_4(X673,X674,X675,X676)),vsubst(esk44_4(X673,X674,X675,X676),esk45_4(X673,X674,X675,X676),esk46_4(X673,X674,X675,X676)))
| epred1_4(X676,X675,X674,X673)
| ~ epred2_4(X676,X675,X674,X673) )
& ( X676 = vsubst(esk52_4(X673,X674,X675,X676),esk53_4(X673,X674,X675,X676),vabs(esk56_4(X673,X674,X675,X676),esk54_4(X673,X674,X675,X676),vsubst(esk55_4(X673,X674,X675,X676),vvar(esk56_4(X673,X674,X675,X676)),esk57_4(X673,X674,X675,X676))))
| X676 = vabs(esk49_4(X673,X674,X675,X676),esk50_4(X673,X674,X675,X676),esk51_4(X673,X674,X675,X676))
| X676 = vapp(vsubst(esk44_4(X673,X674,X675,X676),esk45_4(X673,X674,X675,X676),esk43_4(X673,X674,X675,X676)),vsubst(esk44_4(X673,X674,X675,X676),esk45_4(X673,X674,X675,X676),esk46_4(X673,X674,X675,X676)))
| epred1_4(X676,X675,X674,X673)
| ~ epred2_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_62])])])]) ).
fof(i_0_81,plain,
! [X581,X582,X583,X584,X585] :
( X582 != vapp(X581,X585)
| X581 = vabs(esk15_5(X581,X582,X583,X584,X585),esk16_5(X581,X582,X583,X584,X585),esk17_5(X581,X582,X583,X584,X585))
| X584 != vreduce(X581)
| ~ visSomeExp(X584)
| X583 != vreduce(X582)
| X583 = vsomeExp(vapp(vgetSomeExp(X584),X585)) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[reduce5])])]) ).
fof(i_0_82,plain,
! [X534,X535,X536,X537] :
( ( X534 = esk12_4(X534,X535,X536,X537)
| epred2_4(X537,X536,X535,X534)
| vsubst(X534,X535,X536) != X537 )
& ( X535 = esk13_4(X534,X535,X536,X537)
| epred2_4(X537,X536,X535,X534)
| vsubst(X534,X535,X536) != X537 )
& ( X536 = vabs(esk10_4(X534,X535,X536,X537),esk11_4(X534,X535,X536,X537),esk14_4(X534,X535,X536,X537))
| epred2_4(X537,X536,X535,X534)
| vsubst(X534,X535,X536) != X537 )
& ( esk12_4(X534,X535,X536,X537) != esk10_4(X534,X535,X536,X537)
| epred2_4(X537,X536,X535,X534)
| vsubst(X534,X535,X536) != X537 )
& ( ~ visFreeVar(esk10_4(X534,X535,X536,X537),esk13_4(X534,X535,X536,X537))
| epred2_4(X537,X536,X535,X534)
| vsubst(X534,X535,X536) != X537 )
& ( X537 = vabs(esk10_4(X534,X535,X536,X537),esk11_4(X534,X535,X536,X537),vsubst(esk12_4(X534,X535,X536,X537),esk13_4(X534,X535,X536,X537),esk14_4(X534,X535,X536,X537)))
| epred2_4(X537,X536,X535,X534)
| vsubst(X534,X535,X536) != X537 ) ),
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,
! [X663,X664,X665,X666] :
( ( X663 = esk41_4(X663,X664,X665,X666)
| X663 = esk37_4(X663,X664,X665,X666)
| ~ epred1_4(X666,X665,X664,X663) )
& ( X664 = esk40_4(X663,X664,X665,X666)
| X663 = esk37_4(X663,X664,X665,X666)
| ~ epred1_4(X666,X665,X664,X663) )
& ( X665 = vvar(esk42_4(X663,X664,X665,X666))
| X663 = esk37_4(X663,X664,X665,X666)
| ~ epred1_4(X666,X665,X664,X663) )
& ( esk41_4(X663,X664,X665,X666) != esk42_4(X663,X664,X665,X666)
| X663 = esk37_4(X663,X664,X665,X666)
| ~ epred1_4(X666,X665,X664,X663) )
& ( X666 = vvar(esk42_4(X663,X664,X665,X666))
| X663 = esk37_4(X663,X664,X665,X666)
| ~ epred1_4(X666,X665,X664,X663) )
& ( X663 = esk41_4(X663,X664,X665,X666)
| X664 = esk39_4(X663,X664,X665,X666)
| ~ epred1_4(X666,X665,X664,X663) )
& ( X664 = esk40_4(X663,X664,X665,X666)
| X664 = esk39_4(X663,X664,X665,X666)
| ~ epred1_4(X666,X665,X664,X663) )
& ( X665 = vvar(esk42_4(X663,X664,X665,X666))
| X664 = esk39_4(X663,X664,X665,X666)
| ~ epred1_4(X666,X665,X664,X663) )
& ( esk41_4(X663,X664,X665,X666) != esk42_4(X663,X664,X665,X666)
| X664 = esk39_4(X663,X664,X665,X666)
| ~ epred1_4(X666,X665,X664,X663) )
& ( X666 = vvar(esk42_4(X663,X664,X665,X666))
| X664 = esk39_4(X663,X664,X665,X666)
| ~ epred1_4(X666,X665,X664,X663) )
& ( X663 = esk41_4(X663,X664,X665,X666)
| X665 = vvar(esk38_4(X663,X664,X665,X666))
| ~ epred1_4(X666,X665,X664,X663) )
& ( X664 = esk40_4(X663,X664,X665,X666)
| X665 = vvar(esk38_4(X663,X664,X665,X666))
| ~ epred1_4(X666,X665,X664,X663) )
& ( X665 = vvar(esk42_4(X663,X664,X665,X666))
| X665 = vvar(esk38_4(X663,X664,X665,X666))
| ~ epred1_4(X666,X665,X664,X663) )
& ( esk41_4(X663,X664,X665,X666) != esk42_4(X663,X664,X665,X666)
| X665 = vvar(esk38_4(X663,X664,X665,X666))
| ~ epred1_4(X666,X665,X664,X663) )
& ( X666 = vvar(esk42_4(X663,X664,X665,X666))
| X665 = vvar(esk38_4(X663,X664,X665,X666))
| ~ epred1_4(X666,X665,X664,X663) )
& ( X663 = esk41_4(X663,X664,X665,X666)
| esk37_4(X663,X664,X665,X666) = esk38_4(X663,X664,X665,X666)
| ~ epred1_4(X666,X665,X664,X663) )
& ( X664 = esk40_4(X663,X664,X665,X666)
| esk37_4(X663,X664,X665,X666) = esk38_4(X663,X664,X665,X666)
| ~ epred1_4(X666,X665,X664,X663) )
& ( X665 = vvar(esk42_4(X663,X664,X665,X666))
| esk37_4(X663,X664,X665,X666) = esk38_4(X663,X664,X665,X666)
| ~ epred1_4(X666,X665,X664,X663) )
& ( esk41_4(X663,X664,X665,X666) != esk42_4(X663,X664,X665,X666)
| esk37_4(X663,X664,X665,X666) = esk38_4(X663,X664,X665,X666)
| ~ epred1_4(X666,X665,X664,X663) )
& ( X666 = vvar(esk42_4(X663,X664,X665,X666))
| esk37_4(X663,X664,X665,X666) = esk38_4(X663,X664,X665,X666)
| ~ epred1_4(X666,X665,X664,X663) )
& ( X663 = esk41_4(X663,X664,X665,X666)
| X666 = esk39_4(X663,X664,X665,X666)
| ~ epred1_4(X666,X665,X664,X663) )
& ( X664 = esk40_4(X663,X664,X665,X666)
| X666 = esk39_4(X663,X664,X665,X666)
| ~ epred1_4(X666,X665,X664,X663) )
& ( X665 = vvar(esk42_4(X663,X664,X665,X666))
| X666 = esk39_4(X663,X664,X665,X666)
| ~ epred1_4(X666,X665,X664,X663) )
& ( esk41_4(X663,X664,X665,X666) != esk42_4(X663,X664,X665,X666)
| X666 = esk39_4(X663,X664,X665,X666)
| ~ epred1_4(X666,X665,X664,X663) )
& ( X666 = vvar(esk42_4(X663,X664,X665,X666))
| X666 = esk39_4(X663,X664,X665,X666)
| ~ epred1_4(X666,X665,X664,X663) ) ),
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,
! [X589,X590,X591,X592,X596] :
( X592 != vapp(X590,X589)
| X590 = vabs(esk18_4(X589,X590,X591,X592),esk19_4(X589,X590,X591,X592),esk20_4(X589,X590,X591,X592))
| X591 != vreduce(X590)
| visSomeExp(X591)
| X596 != vreduce(X592)
| X596 = 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,
! [X622,X623,X624] :
( ( X622 = vapp(esk29_3(X622,X623,X624),esk30_3(X622,X623,X624))
| X622 = vabs(esk25_3(X622,X623,X624),esk27_3(X622,X623,X624),esk26_3(X622,X623,X624))
| X622 = vvar(esk24_3(X622,X623,X624))
| ~ vtcheck(X624,X622,X623) )
& ( vtcheck(X624,esk29_3(X622,X623,X624),varrow(esk31_3(X622,X623,X624),X623))
| X622 = vabs(esk25_3(X622,X623,X624),esk27_3(X622,X623,X624),esk26_3(X622,X623,X624))
| X622 = vvar(esk24_3(X622,X623,X624))
| ~ vtcheck(X624,X622,X623) )
& ( vtcheck(X624,esk30_3(X622,X623,X624),esk31_3(X622,X623,X624))
| X622 = vabs(esk25_3(X622,X623,X624),esk27_3(X622,X623,X624),esk26_3(X622,X623,X624))
| X622 = vvar(esk24_3(X622,X623,X624))
| ~ vtcheck(X624,X622,X623) )
& ( X622 = vapp(esk29_3(X622,X623,X624),esk30_3(X622,X623,X624))
| X623 = varrow(esk27_3(X622,X623,X624),esk28_3(X622,X623,X624))
| X622 = vvar(esk24_3(X622,X623,X624))
| ~ vtcheck(X624,X622,X623) )
& ( vtcheck(X624,esk29_3(X622,X623,X624),varrow(esk31_3(X622,X623,X624),X623))
| X623 = varrow(esk27_3(X622,X623,X624),esk28_3(X622,X623,X624))
| X622 = vvar(esk24_3(X622,X623,X624))
| ~ vtcheck(X624,X622,X623) )
& ( vtcheck(X624,esk30_3(X622,X623,X624),esk31_3(X622,X623,X624))
| X623 = varrow(esk27_3(X622,X623,X624),esk28_3(X622,X623,X624))
| X622 = vvar(esk24_3(X622,X623,X624))
| ~ vtcheck(X624,X622,X623) )
& ( X622 = vapp(esk29_3(X622,X623,X624),esk30_3(X622,X623,X624))
| vtcheck(vbind(esk25_3(X622,X623,X624),esk27_3(X622,X623,X624),X624),esk26_3(X622,X623,X624),esk28_3(X622,X623,X624))
| X622 = vvar(esk24_3(X622,X623,X624))
| ~ vtcheck(X624,X622,X623) )
& ( vtcheck(X624,esk29_3(X622,X623,X624),varrow(esk31_3(X622,X623,X624),X623))
| vtcheck(vbind(esk25_3(X622,X623,X624),esk27_3(X622,X623,X624),X624),esk26_3(X622,X623,X624),esk28_3(X622,X623,X624))
| X622 = vvar(esk24_3(X622,X623,X624))
| ~ vtcheck(X624,X622,X623) )
& ( vtcheck(X624,esk30_3(X622,X623,X624),esk31_3(X622,X623,X624))
| vtcheck(vbind(esk25_3(X622,X623,X624),esk27_3(X622,X623,X624),X624),esk26_3(X622,X623,X624),esk28_3(X622,X623,X624))
| X622 = vvar(esk24_3(X622,X623,X624))
| ~ vtcheck(X624,X622,X623) )
& ( X622 = vapp(esk29_3(X622,X623,X624),esk30_3(X622,X623,X624))
| X622 = vabs(esk25_3(X622,X623,X624),esk27_3(X622,X623,X624),esk26_3(X622,X623,X624))
| vlookup(esk24_3(X622,X623,X624),X624) = vsomeType(X623)
| ~ vtcheck(X624,X622,X623) )
& ( vtcheck(X624,esk29_3(X622,X623,X624),varrow(esk31_3(X622,X623,X624),X623))
| X622 = vabs(esk25_3(X622,X623,X624),esk27_3(X622,X623,X624),esk26_3(X622,X623,X624))
| vlookup(esk24_3(X622,X623,X624),X624) = vsomeType(X623)
| ~ vtcheck(X624,X622,X623) )
& ( vtcheck(X624,esk30_3(X622,X623,X624),esk31_3(X622,X623,X624))
| X622 = vabs(esk25_3(X622,X623,X624),esk27_3(X622,X623,X624),esk26_3(X622,X623,X624))
| vlookup(esk24_3(X622,X623,X624),X624) = vsomeType(X623)
| ~ vtcheck(X624,X622,X623) )
& ( X622 = vapp(esk29_3(X622,X623,X624),esk30_3(X622,X623,X624))
| X623 = varrow(esk27_3(X622,X623,X624),esk28_3(X622,X623,X624))
| vlookup(esk24_3(X622,X623,X624),X624) = vsomeType(X623)
| ~ vtcheck(X624,X622,X623) )
& ( vtcheck(X624,esk29_3(X622,X623,X624),varrow(esk31_3(X622,X623,X624),X623))
| X623 = varrow(esk27_3(X622,X623,X624),esk28_3(X622,X623,X624))
| vlookup(esk24_3(X622,X623,X624),X624) = vsomeType(X623)
| ~ vtcheck(X624,X622,X623) )
& ( vtcheck(X624,esk30_3(X622,X623,X624),esk31_3(X622,X623,X624))
| X623 = varrow(esk27_3(X622,X623,X624),esk28_3(X622,X623,X624))
| vlookup(esk24_3(X622,X623,X624),X624) = vsomeType(X623)
| ~ vtcheck(X624,X622,X623) )
& ( X622 = vapp(esk29_3(X622,X623,X624),esk30_3(X622,X623,X624))
| vtcheck(vbind(esk25_3(X622,X623,X624),esk27_3(X622,X623,X624),X624),esk26_3(X622,X623,X624),esk28_3(X622,X623,X624))
| vlookup(esk24_3(X622,X623,X624),X624) = vsomeType(X623)
| ~ vtcheck(X624,X622,X623) )
& ( vtcheck(X624,esk29_3(X622,X623,X624),varrow(esk31_3(X622,X623,X624),X623))
| vtcheck(vbind(esk25_3(X622,X623,X624),esk27_3(X622,X623,X624),X624),esk26_3(X622,X623,X624),esk28_3(X622,X623,X624))
| vlookup(esk24_3(X622,X623,X624),X624) = vsomeType(X623)
| ~ vtcheck(X624,X622,X623) )
& ( vtcheck(X624,esk30_3(X622,X623,X624),esk31_3(X622,X623,X624))
| vtcheck(vbind(esk25_3(X622,X623,X624),esk27_3(X622,X623,X624),X624),esk26_3(X622,X623,X624),esk28_3(X622,X623,X624))
| vlookup(esk24_3(X622,X623,X624),X624) = vsomeType(X623)
| ~ vtcheck(X624,X622,X623) ) ),
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(esk69_2(X1,X2),esk67_2(X1,X2),esk71_2(X1,X2)),esk70_2(X1,X2))
| X2 = vsomeExp(vapp(vabs(esk63_2(X1,X2),esk64_2(X1,X2),esk65_2(X1,X2)),vgetSomeExp(esk66_2(X1,X2))))
| X2 = vnoExp
| X2 = vnoExp
| ~ epred3_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_66]) ).
fof(i_0_87,plain,
! [X475,X476,X477,X478,X479,X480,X481] :
( X477 = X475
| ~ vtcheck(vbind(X477,X478,vbind(X475,X476,X479)),X480,X481)
| vtcheck(vbind(X475,X476,vbind(X477,X478,X479)),X480,X481) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['T-Context-Swap'])]) ).
cnf(i_0_88,plain,
( X1 = vsomeExp(vsubst(esk69_2(X2,X1),esk70_2(X2,X1),esk71_2(X2,X1)))
| X1 = vsomeExp(vapp(vabs(esk63_2(X2,X1),esk64_2(X2,X1),esk65_2(X2,X1)),vgetSomeExp(esk66_2(X2,X1))))
| X1 = vnoExp
| X1 = vnoExp
| ~ epred3_2(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_66]) ).
fof(i_0_89,plain,
! [X456,X457,X458] :
( ( X456 = esk8_3(X456,X457,X458)
| X456 = esk3_3(X456,X457,X458)
| X456 = esk1_3(X456,X457,X458)
| vlookup(X456,X457) != X458 )
& ( X457 = vbind(esk7_3(X456,X457,X458),esk6_3(X456,X457,X458),esk9_3(X456,X457,X458))
| X456 = esk3_3(X456,X457,X458)
| X456 = esk1_3(X456,X457,X458)
| vlookup(X456,X457) != X458 )
& ( esk8_3(X456,X457,X458) != esk7_3(X456,X457,X458)
| X456 = esk3_3(X456,X457,X458)
| X456 = esk1_3(X456,X457,X458)
| vlookup(X456,X457) != X458 )
& ( X458 = vlookup(esk8_3(X456,X457,X458),esk9_3(X456,X457,X458))
| X456 = esk3_3(X456,X457,X458)
| X456 = esk1_3(X456,X457,X458)
| vlookup(X456,X457) != X458 )
& ( X456 = esk8_3(X456,X457,X458)
| X457 = vbind(esk4_3(X456,X457,X458),esk5_3(X456,X457,X458),esk2_3(X456,X457,X458))
| X456 = esk1_3(X456,X457,X458)
| vlookup(X456,X457) != X458 )
& ( X457 = vbind(esk7_3(X456,X457,X458),esk6_3(X456,X457,X458),esk9_3(X456,X457,X458))
| X457 = vbind(esk4_3(X456,X457,X458),esk5_3(X456,X457,X458),esk2_3(X456,X457,X458))
| X456 = esk1_3(X456,X457,X458)
| vlookup(X456,X457) != X458 )
& ( esk8_3(X456,X457,X458) != esk7_3(X456,X457,X458)
| X457 = vbind(esk4_3(X456,X457,X458),esk5_3(X456,X457,X458),esk2_3(X456,X457,X458))
| X456 = esk1_3(X456,X457,X458)
| vlookup(X456,X457) != X458 )
& ( X458 = vlookup(esk8_3(X456,X457,X458),esk9_3(X456,X457,X458))
| X457 = vbind(esk4_3(X456,X457,X458),esk5_3(X456,X457,X458),esk2_3(X456,X457,X458))
| X456 = esk1_3(X456,X457,X458)
| vlookup(X456,X457) != X458 )
& ( X456 = esk8_3(X456,X457,X458)
| esk3_3(X456,X457,X458) = esk4_3(X456,X457,X458)
| X456 = esk1_3(X456,X457,X458)
| vlookup(X456,X457) != X458 )
& ( X457 = vbind(esk7_3(X456,X457,X458),esk6_3(X456,X457,X458),esk9_3(X456,X457,X458))
| esk3_3(X456,X457,X458) = esk4_3(X456,X457,X458)
| X456 = esk1_3(X456,X457,X458)
| vlookup(X456,X457) != X458 )
& ( esk8_3(X456,X457,X458) != esk7_3(X456,X457,X458)
| esk3_3(X456,X457,X458) = esk4_3(X456,X457,X458)
| X456 = esk1_3(X456,X457,X458)
| vlookup(X456,X457) != X458 )
& ( X458 = vlookup(esk8_3(X456,X457,X458),esk9_3(X456,X457,X458))
| esk3_3(X456,X457,X458) = esk4_3(X456,X457,X458)
| X456 = esk1_3(X456,X457,X458)
| vlookup(X456,X457) != X458 )
& ( X456 = esk8_3(X456,X457,X458)
| X458 = vsomeType(esk5_3(X456,X457,X458))
| X456 = esk1_3(X456,X457,X458)
| vlookup(X456,X457) != X458 )
& ( X457 = vbind(esk7_3(X456,X457,X458),esk6_3(X456,X457,X458),esk9_3(X456,X457,X458))
| X458 = vsomeType(esk5_3(X456,X457,X458))
| X456 = esk1_3(X456,X457,X458)
| vlookup(X456,X457) != X458 )
& ( esk8_3(X456,X457,X458) != esk7_3(X456,X457,X458)
| X458 = vsomeType(esk5_3(X456,X457,X458))
| X456 = esk1_3(X456,X457,X458)
| vlookup(X456,X457) != X458 )
& ( X458 = vlookup(esk8_3(X456,X457,X458),esk9_3(X456,X457,X458))
| X458 = vsomeType(esk5_3(X456,X457,X458))
| X456 = esk1_3(X456,X457,X458)
| vlookup(X456,X457) != X458 )
& ( X456 = esk8_3(X456,X457,X458)
| X456 = esk3_3(X456,X457,X458)
| X457 = vempty
| vlookup(X456,X457) != X458 )
& ( X457 = vbind(esk7_3(X456,X457,X458),esk6_3(X456,X457,X458),esk9_3(X456,X457,X458))
| X456 = esk3_3(X456,X457,X458)
| X457 = vempty
| vlookup(X456,X457) != X458 )
& ( esk8_3(X456,X457,X458) != esk7_3(X456,X457,X458)
| X456 = esk3_3(X456,X457,X458)
| X457 = vempty
| vlookup(X456,X457) != X458 )
& ( X458 = vlookup(esk8_3(X456,X457,X458),esk9_3(X456,X457,X458))
| X456 = esk3_3(X456,X457,X458)
| X457 = vempty
| vlookup(X456,X457) != X458 )
& ( X456 = esk8_3(X456,X457,X458)
| X457 = vbind(esk4_3(X456,X457,X458),esk5_3(X456,X457,X458),esk2_3(X456,X457,X458))
| X457 = vempty
| vlookup(X456,X457) != X458 )
& ( X457 = vbind(esk7_3(X456,X457,X458),esk6_3(X456,X457,X458),esk9_3(X456,X457,X458))
| X457 = vbind(esk4_3(X456,X457,X458),esk5_3(X456,X457,X458),esk2_3(X456,X457,X458))
| X457 = vempty
| vlookup(X456,X457) != X458 )
& ( esk8_3(X456,X457,X458) != esk7_3(X456,X457,X458)
| X457 = vbind(esk4_3(X456,X457,X458),esk5_3(X456,X457,X458),esk2_3(X456,X457,X458))
| X457 = vempty
| vlookup(X456,X457) != X458 )
& ( X458 = vlookup(esk8_3(X456,X457,X458),esk9_3(X456,X457,X458))
| X457 = vbind(esk4_3(X456,X457,X458),esk5_3(X456,X457,X458),esk2_3(X456,X457,X458))
| X457 = vempty
| vlookup(X456,X457) != X458 )
& ( X456 = esk8_3(X456,X457,X458)
| esk3_3(X456,X457,X458) = esk4_3(X456,X457,X458)
| X457 = vempty
| vlookup(X456,X457) != X458 )
& ( X457 = vbind(esk7_3(X456,X457,X458),esk6_3(X456,X457,X458),esk9_3(X456,X457,X458))
| esk3_3(X456,X457,X458) = esk4_3(X456,X457,X458)
| X457 = vempty
| vlookup(X456,X457) != X458 )
& ( esk8_3(X456,X457,X458) != esk7_3(X456,X457,X458)
| esk3_3(X456,X457,X458) = esk4_3(X456,X457,X458)
| X457 = vempty
| vlookup(X456,X457) != X458 )
& ( X458 = vlookup(esk8_3(X456,X457,X458),esk9_3(X456,X457,X458))
| esk3_3(X456,X457,X458) = esk4_3(X456,X457,X458)
| X457 = vempty
| vlookup(X456,X457) != X458 )
& ( X456 = esk8_3(X456,X457,X458)
| X458 = vsomeType(esk5_3(X456,X457,X458))
| X457 = vempty
| vlookup(X456,X457) != X458 )
& ( X457 = vbind(esk7_3(X456,X457,X458),esk6_3(X456,X457,X458),esk9_3(X456,X457,X458))
| X458 = vsomeType(esk5_3(X456,X457,X458))
| X457 = vempty
| vlookup(X456,X457) != X458 )
& ( esk8_3(X456,X457,X458) != esk7_3(X456,X457,X458)
| X458 = vsomeType(esk5_3(X456,X457,X458))
| X457 = vempty
| vlookup(X456,X457) != X458 )
& ( X458 = vlookup(esk8_3(X456,X457,X458),esk9_3(X456,X457,X458))
| X458 = vsomeType(esk5_3(X456,X457,X458))
| X457 = vempty
| vlookup(X456,X457) != X458 )
& ( X456 = esk8_3(X456,X457,X458)
| X456 = esk3_3(X456,X457,X458)
| X458 = vnoType
| vlookup(X456,X457) != X458 )
& ( X457 = vbind(esk7_3(X456,X457,X458),esk6_3(X456,X457,X458),esk9_3(X456,X457,X458))
| X456 = esk3_3(X456,X457,X458)
| X458 = vnoType
| vlookup(X456,X457) != X458 )
& ( esk8_3(X456,X457,X458) != esk7_3(X456,X457,X458)
| X456 = esk3_3(X456,X457,X458)
| X458 = vnoType
| vlookup(X456,X457) != X458 )
& ( X458 = vlookup(esk8_3(X456,X457,X458),esk9_3(X456,X457,X458))
| X456 = esk3_3(X456,X457,X458)
| X458 = vnoType
| vlookup(X456,X457) != X458 )
& ( X456 = esk8_3(X456,X457,X458)
| X457 = vbind(esk4_3(X456,X457,X458),esk5_3(X456,X457,X458),esk2_3(X456,X457,X458))
| X458 = vnoType
| vlookup(X456,X457) != X458 )
& ( X457 = vbind(esk7_3(X456,X457,X458),esk6_3(X456,X457,X458),esk9_3(X456,X457,X458))
| X457 = vbind(esk4_3(X456,X457,X458),esk5_3(X456,X457,X458),esk2_3(X456,X457,X458))
| X458 = vnoType
| vlookup(X456,X457) != X458 )
& ( esk8_3(X456,X457,X458) != esk7_3(X456,X457,X458)
| X457 = vbind(esk4_3(X456,X457,X458),esk5_3(X456,X457,X458),esk2_3(X456,X457,X458))
| X458 = vnoType
| vlookup(X456,X457) != X458 )
& ( X458 = vlookup(esk8_3(X456,X457,X458),esk9_3(X456,X457,X458))
| X457 = vbind(esk4_3(X456,X457,X458),esk5_3(X456,X457,X458),esk2_3(X456,X457,X458))
| X458 = vnoType
| vlookup(X456,X457) != X458 )
& ( X456 = esk8_3(X456,X457,X458)
| esk3_3(X456,X457,X458) = esk4_3(X456,X457,X458)
| X458 = vnoType
| vlookup(X456,X457) != X458 )
& ( X457 = vbind(esk7_3(X456,X457,X458),esk6_3(X456,X457,X458),esk9_3(X456,X457,X458))
| esk3_3(X456,X457,X458) = esk4_3(X456,X457,X458)
| X458 = vnoType
| vlookup(X456,X457) != X458 )
& ( esk8_3(X456,X457,X458) != esk7_3(X456,X457,X458)
| esk3_3(X456,X457,X458) = esk4_3(X456,X457,X458)
| X458 = vnoType
| vlookup(X456,X457) != X458 )
& ( X458 = vlookup(esk8_3(X456,X457,X458),esk9_3(X456,X457,X458))
| esk3_3(X456,X457,X458) = esk4_3(X456,X457,X458)
| X458 = vnoType
| vlookup(X456,X457) != X458 )
& ( X456 = esk8_3(X456,X457,X458)
| X458 = vsomeType(esk5_3(X456,X457,X458))
| X458 = vnoType
| vlookup(X456,X457) != X458 )
& ( X457 = vbind(esk7_3(X456,X457,X458),esk6_3(X456,X457,X458),esk9_3(X456,X457,X458))
| X458 = vsomeType(esk5_3(X456,X457,X458))
| X458 = vnoType
| vlookup(X456,X457) != X458 )
& ( esk8_3(X456,X457,X458) != esk7_3(X456,X457,X458)
| X458 = vsomeType(esk5_3(X456,X457,X458))
| X458 = vnoType
| vlookup(X456,X457) != X458 )
& ( X458 = vlookup(esk8_3(X456,X457,X458),esk9_3(X456,X457,X458))
| X458 = vsomeType(esk5_3(X456,X457,X458))
| X458 = vnoType
| vlookup(X456,X457) != X458 ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],['lookup-INV'])])])])]) ).
fof(i_0_90,plain,
! [X515,X516,X517,X518,X519,X520,X521,X522,X523,X524] :
( X515 != X519
| X516 != X520
| X517 != vabs(X522,X521,X524)
| X519 = X522
| ~ visFreeVar(X522,X520)
| X523 != vgensym(vapp(vapp(X520,X524),vvar(X519)))
| X518 != vsubst(X515,X516,X517)
| X518 = vsubst(X519,X520,vabs(X523,X521,vsubst(X522,vvar(X523),X524))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[subst4])]) ).
fof(i_0_91,plain,
! [X468,X469,X470,X471,X472,X473,X474] :
( X470 != X468
| ~ vtcheck(vbind(X470,X471,vbind(X468,X469,X472)),X473,X474)
| vtcheck(vbind(X470,X471,X472),X473,X474) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['T-Context-Duplicate'])]) ).
cnf(i_0_92,plain,
( X2 = vsomeExp(vapp(vabs(esk63_2(X1,X2),esk64_2(X1,X2),esk65_2(X1,X2)),vgetSomeExp(esk66_2(X1,X2))))
| X2 = vnoExp
| X2 = vnoExp
| ~ visSomeExp(esk68_2(X1,X2))
| ~ epred3_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_66]) ).
cnf(i_0_93,plain,
( esk68_2(X1,X2) = vreduce(esk70_2(X1,X2))
| X2 = vsomeExp(vapp(vabs(esk63_2(X1,X2),esk64_2(X1,X2),esk65_2(X1,X2)),vgetSomeExp(esk66_2(X1,X2))))
| X2 = vnoExp
| X2 = vnoExp
| ~ epred3_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_66]) ).
cnf(i_0_94,plain,
( visValue(esk70_2(X1,X2))
| X2 = vsomeExp(vapp(vabs(esk63_2(X1,X2),esk64_2(X1,X2),esk65_2(X1,X2)),vgetSomeExp(esk66_2(X1,X2))))
| X2 = vnoExp
| X2 = vnoExp
| ~ epred3_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_66]) ).
cnf(i_0_95,plain,
( X1 = vapp(vabs(esk69_2(X1,X2),esk67_2(X1,X2),esk71_2(X1,X2)),esk70_2(X1,X2))
| X1 = vapp(vabs(esk63_2(X1,X2),esk64_2(X1,X2),esk65_2(X1,X2)),esk62_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 = vsomeExp(vsubst(esk69_2(X2,X1),esk70_2(X2,X1),esk71_2(X2,X1)))
| X2 = vapp(vabs(esk63_2(X2,X1),esk64_2(X2,X1),esk65_2(X2,X1)),esk62_2(X2,X1))
| X1 = vnoExp
| X1 = vnoExp
| ~ epred3_2(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_66]) ).
fof(i_0_97,plain,
! [X708,X709,X718,X719,X720] :
( ( X708 = vapp(esk77_2(X708,X709),esk79_2(X708,X709))
| X708 = vapp(vabs(esk72_2(X708,X709),esk73_2(X708,X709),esk74_2(X708,X709)),esk76_2(X708,X709))
| epred3_2(X709,X708)
| ~ epred4_2(X709,X708) )
& ( esk77_2(X708,X709) != vabs(X718,X719,X720)
| X708 = vapp(vabs(esk72_2(X708,X709),esk73_2(X708,X709),esk74_2(X708,X709)),esk76_2(X708,X709))
| epred3_2(X709,X708)
| ~ epred4_2(X709,X708) )
& ( esk78_2(X708,X709) = vreduce(esk77_2(X708,X709))
| X708 = vapp(vabs(esk72_2(X708,X709),esk73_2(X708,X709),esk74_2(X708,X709)),esk76_2(X708,X709))
| epred3_2(X709,X708)
| ~ epred4_2(X709,X708) )
& ( visSomeExp(esk78_2(X708,X709))
| X708 = vapp(vabs(esk72_2(X708,X709),esk73_2(X708,X709),esk74_2(X708,X709)),esk76_2(X708,X709))
| epred3_2(X709,X708)
| ~ epred4_2(X709,X708) )
& ( X709 = vsomeExp(vapp(vgetSomeExp(esk78_2(X708,X709)),esk79_2(X708,X709)))
| X708 = vapp(vabs(esk72_2(X708,X709),esk73_2(X708,X709),esk74_2(X708,X709)),esk76_2(X708,X709))
| epred3_2(X709,X708)
| ~ epred4_2(X709,X708) )
& ( X708 = vapp(esk77_2(X708,X709),esk79_2(X708,X709))
| esk75_2(X708,X709) = vreduce(esk76_2(X708,X709))
| epred3_2(X709,X708)
| ~ epred4_2(X709,X708) )
& ( esk77_2(X708,X709) != vabs(X718,X719,X720)
| esk75_2(X708,X709) = vreduce(esk76_2(X708,X709))
| epred3_2(X709,X708)
| ~ epred4_2(X709,X708) )
& ( esk78_2(X708,X709) = vreduce(esk77_2(X708,X709))
| esk75_2(X708,X709) = vreduce(esk76_2(X708,X709))
| epred3_2(X709,X708)
| ~ epred4_2(X709,X708) )
& ( visSomeExp(esk78_2(X708,X709))
| esk75_2(X708,X709) = vreduce(esk76_2(X708,X709))
| epred3_2(X709,X708)
| ~ epred4_2(X709,X708) )
& ( X709 = vsomeExp(vapp(vgetSomeExp(esk78_2(X708,X709)),esk79_2(X708,X709)))
| esk75_2(X708,X709) = vreduce(esk76_2(X708,X709))
| epred3_2(X709,X708)
| ~ epred4_2(X709,X708) )
& ( X708 = vapp(esk77_2(X708,X709),esk79_2(X708,X709))
| ~ visSomeExp(esk75_2(X708,X709))
| epred3_2(X709,X708)
| ~ epred4_2(X709,X708) )
& ( esk77_2(X708,X709) != vabs(X718,X719,X720)
| ~ visSomeExp(esk75_2(X708,X709))
| epred3_2(X709,X708)
| ~ epred4_2(X709,X708) )
& ( esk78_2(X708,X709) = vreduce(esk77_2(X708,X709))
| ~ visSomeExp(esk75_2(X708,X709))
| epred3_2(X709,X708)
| ~ epred4_2(X709,X708) )
& ( visSomeExp(esk78_2(X708,X709))
| ~ visSomeExp(esk75_2(X708,X709))
| epred3_2(X709,X708)
| ~ epred4_2(X709,X708) )
& ( X709 = vsomeExp(vapp(vgetSomeExp(esk78_2(X708,X709)),esk79_2(X708,X709)))
| ~ visSomeExp(esk75_2(X708,X709))
| epred3_2(X709,X708)
| ~ epred4_2(X709,X708) )
& ( X708 = vapp(esk77_2(X708,X709),esk79_2(X708,X709))
| ~ visValue(esk76_2(X708,X709))
| epred3_2(X709,X708)
| ~ epred4_2(X709,X708) )
& ( esk77_2(X708,X709) != vabs(X718,X719,X720)
| ~ visValue(esk76_2(X708,X709))
| epred3_2(X709,X708)
| ~ epred4_2(X709,X708) )
& ( esk78_2(X708,X709) = vreduce(esk77_2(X708,X709))
| ~ visValue(esk76_2(X708,X709))
| epred3_2(X709,X708)
| ~ epred4_2(X709,X708) )
& ( visSomeExp(esk78_2(X708,X709))
| ~ visValue(esk76_2(X708,X709))
| epred3_2(X709,X708)
| ~ epred4_2(X709,X708) )
& ( X709 = vsomeExp(vapp(vgetSomeExp(esk78_2(X708,X709)),esk79_2(X708,X709)))
| ~ visValue(esk76_2(X708,X709))
| epred3_2(X709,X708)
| ~ epred4_2(X709,X708) )
& ( X708 = vapp(esk77_2(X708,X709),esk79_2(X708,X709))
| X709 = vnoExp
| epred3_2(X709,X708)
| ~ epred4_2(X709,X708) )
& ( esk77_2(X708,X709) != vabs(X718,X719,X720)
| X709 = vnoExp
| epred3_2(X709,X708)
| ~ epred4_2(X709,X708) )
& ( esk78_2(X708,X709) = vreduce(esk77_2(X708,X709))
| X709 = vnoExp
| epred3_2(X709,X708)
| ~ epred4_2(X709,X708) )
& ( visSomeExp(esk78_2(X708,X709))
| X709 = vnoExp
| epred3_2(X709,X708)
| ~ epred4_2(X709,X708) )
& ( X709 = vsomeExp(vapp(vgetSomeExp(esk78_2(X708,X709)),esk79_2(X708,X709)))
| X709 = vnoExp
| epred3_2(X709,X708)
| ~ epred4_2(X709,X708) ) ),
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_67])])])])])]) ).
fof(i_0_98,plain,
! [X653,X654,X655,X656,X657] :
( ~ vtcheck(X654,X656,X653)
| ~ vtcheck(vbind(X655,X653,X654),ve2,X657)
| vtcheck(X654,vsubst(X655,X656,ve2),X657) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['T-subst-IH-app2'])]) ).
fof(i_0_99,plain,
! [X648,X649,X650,X651,X652] :
( ~ vtcheck(X649,X651,X648)
| ~ vtcheck(vbind(X650,X648,X649),ve1,X652)
| vtcheck(X649,vsubst(X650,X651,ve1),X652) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['T-subst-IH-app1'])]) ).
fof(i_0_100,plain,
! [X560,X561,X562,X563,X564,X565,X566] :
( X561 != vapp(vabs(X563,X564,X565),X560)
| X566 != vreduce(X560)
| ~ visSomeExp(X566)
| X562 != vreduce(X561)
| X562 = vsomeExp(vapp(vabs(X563,X564,X565),vgetSomeExp(X566))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[reduce2])]) ).
fof(i_0_101,plain,
! [X612,X613,X614,X615,X616] :
( ~ vtcheck(vbind(X613,X615,X612),X614,X616)
| vtcheck(X612,vabs(X613,X615,X614),varrow(X615,X616)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['T-abs'])]) ).
cnf(i_0_102,plain,
( X1 = vapp(vabs(esk63_2(X1,X2),esk64_2(X1,X2),esk65_2(X1,X2)),esk62_2(X1,X2))
| X2 = vnoExp
| X2 = vnoExp
| ~ visSomeExp(esk68_2(X1,X2))
| ~ epred3_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_66]) ).
cnf(i_0_103,plain,
( esk68_2(X1,X2) = vreduce(esk70_2(X1,X2))
| X1 = vapp(vabs(esk63_2(X1,X2),esk64_2(X1,X2),esk65_2(X1,X2)),esk62_2(X1,X2))
| X2 = vnoExp
| X2 = vnoExp
| ~ epred3_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_66]) ).
cnf(i_0_104,plain,
( X1 = vapp(vabs(esk69_2(X1,X2),esk67_2(X1,X2),esk71_2(X1,X2)),esk70_2(X1,X2))
| esk66_2(X1,X2) = vreduce(esk62_2(X1,X2))
| X2 = vnoExp
| X2 = vnoExp
| ~ epred3_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_66]) ).
fof(i_0_105,plain,
! [X525,X526,X527,X528,X529,X530,X531,X532,X533] :
( X525 != X531
| X526 != X532
| X527 != vabs(X529,X530,X533)
| X531 = X529
| visFreeVar(X529,X532)
| X528 != vsubst(X525,X526,X527)
| X528 = vabs(X529,X530,vsubst(X531,X532,X533)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_68])]) ).
cnf(i_0_106,plain,
( X1 = vapp(vabs(esk69_2(X1,X2),esk67_2(X1,X2),esk71_2(X1,X2)),esk70_2(X1,X2))
| visSomeExp(esk66_2(X1,X2))
| X2 = vnoExp
| X2 = vnoExp
| ~ epred3_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_66]) ).
cnf(i_0_107,plain,
( visValue(esk70_2(X1,X2))
| X1 = vapp(vabs(esk63_2(X1,X2),esk64_2(X1,X2),esk65_2(X1,X2)),esk62_2(X1,X2))
| X2 = vnoExp
| X2 = vnoExp
| ~ epred3_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_66]) ).
fof(i_0_108,plain,
! [X498,X499,X500,X501,X502,X503,X504,X505] :
( X498 != X503
| X499 != X504
| X500 != vapp(X502,X505)
| X501 != vsubst(X498,X499,X500)
| X501 = vapp(vsubst(X503,X504,X502),vsubst(X503,X504,X505)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[subst2])]) ).
cnf(i_0_109,plain,
( X1 = vsomeExp(vsubst(esk69_2(X2,X1),esk70_2(X2,X1),esk71_2(X2,X1)))
| esk66_2(X2,X1) = vreduce(esk62_2(X2,X1))
| X1 = vnoExp
| X1 = vnoExp
| ~ epred3_2(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_66]) ).
fof(i_0_110,plain,
! [X567,X568,X569,X570,X571,X572,X573] :
( X569 != vapp(vabs(X571,X567,X573),X572)
| X568 != vreduce(X572)
| visSomeExp(X568)
| ~ visValue(X572)
| X570 != vreduce(X569)
| X570 = vsomeExp(vsubst(X571,X572,X573)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_69])]) ).
fof(i_0_111,plain,
! [X638,X639,X640,X641,X642] :
( visFreeVar(X638,X641)
| ~ vtcheck(vbind(X638,X639,X640),X641,X642)
| vtcheck(X640,X641,X642) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_70])]) ).
cnf(i_0_112,plain,
( X1 = vsomeExp(vsubst(esk69_2(X2,X1),esk70_2(X2,X1),esk71_2(X2,X1)))
| visSomeExp(esk66_2(X2,X1))
| X1 = vnoExp
| X1 = vnoExp
| ~ epred3_2(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_66]) ).
fof(i_0_113,negated_conjecture,
( vtcheck(esk33_0,esk35_0,esk32_0)
& vtcheck(vbind(esk34_0,esk32_0,esk33_0),vapp(ve1,ve2),esk36_0)
& ~ vtcheck(esk33_0,vsubst(esk34_0,esk35_0,vapp(ve1,ve2)),esk36_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_71])])]) ).
fof(i_0_114,plain,
! [X617,X618,X619,X620,X621] :
( ~ vtcheck(X618,X619,varrow(X617,X621))
| ~ vtcheck(X618,X620,X617)
| vtcheck(X618,vapp(X619,X620),X621) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['T-app'])]) ).
fof(i_0_115,plain,
! [X633,X634,X635,X636,X637] :
( vlookup(X633,X635) != vnoType
| ~ vtcheck(X635,X636,X637)
| vtcheck(vbind(X633,X634,X635),X636,X637) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['T-Weak'])]) ).
fof(i_0_116,plain,
! [X643,X644,X645,X646,X647] :
( visFreeVar(X643,X646)
| ~ vtcheck(X645,X646,X647)
| vtcheck(vbind(X643,X644,X645),X646,X647) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_72])]) ).
fof(i_0_117,plain,
! [X506,X507,X508,X509,X510,X511,X512,X513,X514] :
( X508 != X507
| X509 != X506
| X510 != vabs(X512,X513,X514)
| X507 != X512
| X511 != vsubst(X508,X509,X510)
| X511 = vabs(X512,X513,X514) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[subst3])]) ).
fof(i_0_118,plain,
! [X574,X575,X576,X577,X578,X579,X580] :
( X579 != vapp(vabs(X574,X575,X576),X578)
| X577 != vreduce(X578)
| visSomeExp(X577)
| visValue(X578)
| X580 != vreduce(X579)
| X580 = vnoExp ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_73])]) ).
fof(i_0_119,plain,
! [X420,X421,X422,X423,X424,X425] :
( ( X420 = X423
| vbind(X420,X421,X422) != vbind(X423,X424,X425) )
& ( X421 = X424
| vbind(X420,X421,X422) != vbind(X423,X424,X425) )
& ( X422 = X425
| vbind(X420,X421,X422) != vbind(X423,X424,X425) )
& ( X420 != X423
| X421 != X424
| X422 != X425
| vbind(X420,X421,X422) = vbind(X423,X424,X425) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['EQ-bind'])])]) ).
fof(i_0_120,plain,
! [X374,X375,X376,X377,X378,X379] :
( ( X374 = X377
| vabs(X374,X375,X376) != vabs(X377,X378,X379) )
& ( X375 = X378
| vabs(X374,X375,X376) != vabs(X377,X378,X379) )
& ( X376 = X379
| vabs(X374,X375,X376) != vabs(X377,X378,X379) )
& ( X374 != X377
| X375 != X378
| X376 != X379
| vabs(X374,X375,X376) = vabs(X377,X378,X379) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['EQ-abs'])])]) ).
fof(i_0_121,plain,
! [X449,X450,X451,X452,X453,X454,X455] :
( X451 != X454
| X452 != vbind(X450,X449,X455)
| X454 = X450
| X453 != vlookup(X451,X452)
| X453 = vlookup(X454,X455) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[lookup2])]) ).
fof(i_0_122,plain,
! [X597,X598,X602,X603,X604] :
( ( X597 = vapp(esk22_2(X597,X598),esk21_2(X597,X598))
| epred4_2(X598,X597)
| vreduce(X597) != X598 )
& ( esk22_2(X597,X598) != vabs(X602,X603,X604)
| epred4_2(X598,X597)
| vreduce(X597) != X598 )
& ( esk23_2(X597,X598) = vreduce(esk22_2(X597,X598))
| epred4_2(X598,X597)
| vreduce(X597) != X598 )
& ( ~ visSomeExp(esk23_2(X597,X598))
| epred4_2(X598,X597)
| vreduce(X597) != X598 )
& ( X598 = vnoExp
| epred4_2(X598,X597)
| vreduce(X597) != X598 ) ),
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,
! [X409,X410,X411,X412,X413,X414] :
( ( X412 = X413
| ~ visFreeVar(X413,X414)
| visFreeVar(X410,X411)
| X410 != X413
| X411 != vabs(X412,X409,X414) )
& ( X412 != X413
| ~ visFreeVar(X410,X411)
| X410 != X413
| X411 != vabs(X412,X409,X414) )
& ( visFreeVar(X413,X414)
| ~ visFreeVar(X410,X411)
| X410 != X413
| X411 != vabs(X412,X409,X414) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[isFreeVar1])])]) ).
fof(i_0_124,plain,
! [X442,X443,X444,X445,X446,X447,X448] :
( X445 != X443
| X446 != vbind(X444,X448,X442)
| X443 != X444
| X447 != vlookup(X445,X446)
| X447 = vsomeType(X448) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[lookup1])]) ).
cnf(i_0_125,plain,
( esk66_2(X1,X2) = vreduce(esk62_2(X1,X2))
| X2 = vnoExp
| X2 = vnoExp
| ~ visSomeExp(esk68_2(X1,X2))
| ~ epred3_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_66]) ).
cnf(i_0_126,plain,
( esk68_2(X1,X2) = vreduce(esk70_2(X1,X2))
| esk66_2(X1,X2) = vreduce(esk62_2(X1,X2))
| X2 = vnoExp
| X2 = vnoExp
| ~ epred3_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_66]) ).
fof(i_0_127,plain,
! [X491,X492,X493,X494,X495,X496,X497] :
( X493 != X492
| X494 != X491
| X495 != vvar(X497)
| X492 = X497
| X496 != vsubst(X493,X494,X495)
| X496 = vvar(X497) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[subst1])]) ).
fof(i_0_128,plain,
! [X484,X485,X486,X487,X488,X489,X490] :
( X486 != X484
| X487 != X490
| X488 != vvar(X485)
| X484 != X485
| X489 != vsubst(X486,X487,X488)
| X489 = X490 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[subst0])]) ).
fof(i_0_129,plain,
! [X391,X392,X393,X394,X395] : vabs(X391,X392,X393) != vapp(X394,X395),
inference(variable_rename,[status(thm)],['DIFF-abs-app']) ).
cnf(i_0_130,plain,
( visSomeExp(esk66_2(X1,X2))
| X2 = vnoExp
| X2 = vnoExp
| ~ visSomeExp(esk68_2(X1,X2))
| ~ epred3_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_66]) ).
cnf(i_0_131,plain,
( esk68_2(X1,X2) = vreduce(esk70_2(X1,X2))
| visSomeExp(esk66_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(esk70_2(X1,X2))
| esk66_2(X1,X2) = vreduce(esk62_2(X1,X2))
| X2 = vnoExp
| X2 = vnoExp
| ~ epred3_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_66]) ).
fof(i_0_133,plain,
! [X555,X556,X557,X558,X559] :
( X558 != vabs(X555,X556,X557)
| X559 != vreduce(X558)
| X559 = vnoExp ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[reduce1])]) ).
fof(i_0_134,plain,
! [X384,X385,X386,X387] : vvar(X384) != vabs(X385,X386,X387),
inference(variable_rename,[status(thm)],['DIFF-var-abs']) ).
fof(i_0_135,plain,
! [X396,X397,X398,X399] :
( X399 != vabs(X396,X397,X398)
| visValue(X399) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[isValue0])]) ).
fof(i_0_136,plain,
! [X609,X610,X611] :
( vlookup(X610,X609) != vsomeType(X611)
| vtcheck(X609,vvar(X610),X611) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['T-var'])]) ).
fof(i_0_137,plain,
! [X428,X429,X430] : vempty != vbind(X428,X429,X430),
inference(variable_rename,[status(thm)],['DIFF-empty-bind']) ).
cnf(i_0_138,plain,
( visValue(esk70_2(X1,X2))
| visSomeExp(esk66_2(X1,X2))
| X2 = vnoExp
| X2 = vnoExp
| ~ epred3_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_66]) ).
fof(i_0_139,plain,
! [X415,X416,X417,X418,X419] :
( ( ~ visFreeVar(X418,X417)
| visFreeVar(X415,X416)
| X415 != X418
| X416 != vapp(X417,X419) )
& ( ~ visFreeVar(X418,X419)
| visFreeVar(X415,X416)
| X415 != X418
| X416 != vapp(X417,X419) )
& ( ~ visFreeVar(X415,X416)
| visFreeVar(X418,X417)
| visFreeVar(X418,X419)
| X415 != X418
| X416 != vapp(X417,X419) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[isFreeVar2])])]) ).
fof(i_0_140,plain,
! [X605,X606,X607,X608] :
( ( X605 = X607
| varrow(X605,X606) != varrow(X607,X608) )
& ( X606 = X608
| varrow(X605,X606) != varrow(X607,X608) )
& ( X605 != X607
| X606 != X608
| varrow(X605,X606) = varrow(X607,X608) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['EQ-arrow'])])]) ).
fof(i_0_141,plain,
! [X380,X381,X382,X383] :
( ( X380 = X382
| vapp(X380,X381) != vapp(X382,X383) )
& ( X381 = X383
| vapp(X380,X381) != vapp(X382,X383) )
& ( X380 != X382
| X381 != X383
| vapp(X380,X381) = vapp(X382,X383) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['EQ-app'])])]) ).
fof(i_0_142,plain,
! [X405,X406,X407,X408] :
( ( X407 != X408
| visFreeVar(X405,X406)
| X405 != X408
| X406 != vvar(X407) )
& ( ~ visFreeVar(X405,X406)
| X407 = X408
| X405 != X408
| X406 != vvar(X407) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[isFreeVar0])])]) ).
fof(i_0_143,plain,
! [X438,X439,X440,X441] :
( X439 != X438
| X440 != vempty
| X441 != vlookup(X439,X440)
| X441 = vnoType ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[lookup0])]) ).
fof(i_0_144,plain,
! [X402,X403,X404] :
( X404 != vapp(X402,X403)
| ~ visValue(X404) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_75])]) ).
fof(i_0_145,plain,
! [X482,X483] :
( vgensym(X483) != X482
| ~ visFreeVar(X482,X483) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_76])]) ).
fof(i_0_146,plain,
! [X388,X389,X390] : vvar(X388) != vapp(X389,X390),
inference(variable_rename,[status(thm)],['DIFF-var-app']) ).
fof(i_0_147,plain,
! [X549,X550,X551] :
( X549 != vsomeExp(X551)
| X550 != vgetSomeExp(X549)
| X550 = X551 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[getSomeExp0])]) ).
fof(i_0_148,plain,
! [X435,X436,X437] :
( X435 != vsomeType(X437)
| X436 != vgetSomeType(X435)
| X436 = X437 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[getSomeType0])]) ).
fof(i_0_149,plain,
! [X552,X553,X554] :
( X553 != vvar(X552)
| X554 != vreduce(X553)
| X554 = vnoExp ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[reduce0])]) ).
fof(i_0_150,plain,
! [X400,X401] :
( X401 != vvar(X400)
| ~ visValue(X401) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_77])]) ).
fof(i_0_151,plain,
! [X543,X544] :
( ( vsomeExp(X543) != vsomeExp(X544)
| X543 = X544 )
& ( X543 != X544
| vsomeExp(X543) = vsomeExp(X544) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['EQ-someExp'])]) ).
fof(i_0_152,plain,
! [X426,X427] :
( ( vsomeType(X426) != vsomeType(X427)
| X426 = X427 )
& ( X426 != X427
| vsomeType(X426) = vsomeType(X427) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['EQ-someType'])]) ).
fof(i_0_153,plain,
! [X372,X373] :
( ( vvar(X372) != vvar(X373)
| X372 = X373 )
& ( X372 != X373
| vvar(X372) = vvar(X373) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['EQ-var'])]) ).
fof(i_0_154,plain,
! [X547,X548] :
( X548 != vsomeExp(X547)
| visSomeExp(X548) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[isSomeExp1])]) ).
fof(i_0_155,plain,
! [X433,X434] :
( X434 != vsomeType(X433)
| visSomeType(X434) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[isSomeType1])]) ).
fof(i_0_156,plain,
! [X546] :
( X546 != vnoExp
| ~ visSomeExp(X546) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_78])]) ).
fof(i_0_157,plain,
! [X432] :
( X432 != vnoType
| ~ visSomeType(X432) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_79])]) ).
fof(i_0_158,plain,
! [X545] : vnoExp != vsomeExp(X545),
inference(variable_rename,[status(thm)],['DIFF-noExp-someExp']) ).
fof(i_0_159,plain,
! [X431] : vnoType != vsomeType(X431),
inference(variable_rename,[status(thm)],['DIFF-noType-someType']) ).
cnf(i_0_160,plain,
( X1 = vsubst(esk52_4(X2,X3,X4,X1),esk53_4(X2,X3,X4,X1),vabs(esk56_4(X2,X3,X4,X1),esk54_4(X2,X3,X4,X1),vsubst(esk55_4(X2,X3,X4,X1),vvar(esk56_4(X2,X3,X4,X1)),esk57_4(X2,X3,X4,X1))))
| X1 = vabs(esk49_4(X2,X3,X4,X1),esk50_4(X2,X3,X4,X1),esk51_4(X2,X3,X4,X1))
| X1 = vapp(vsubst(esk44_4(X2,X3,X4,X1),esk45_4(X2,X3,X4,X1),esk43_4(X2,X3,X4,X1)),vsubst(esk44_4(X2,X3,X4,X1),esk45_4(X2,X3,X4,X1),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_161,plain,
( X1 = vsubst(esk52_4(X2,X3,X4,X1),esk53_4(X2,X3,X4,X1),vabs(esk56_4(X2,X3,X4,X1),esk54_4(X2,X3,X4,X1),vsubst(esk55_4(X2,X3,X4,X1),vvar(esk56_4(X2,X3,X4,X1)),esk57_4(X2,X3,X4,X1))))
| X4 = vabs(esk49_4(X2,X3,X4,X1),esk50_4(X2,X3,X4,X1),esk51_4(X2,X3,X4,X1))
| X1 = vapp(vsubst(esk44_4(X2,X3,X4,X1),esk45_4(X2,X3,X4,X1),esk43_4(X2,X3,X4,X1)),vsubst(esk44_4(X2,X3,X4,X1),esk45_4(X2,X3,X4,X1),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_162,plain,
( X1 = vsubst(esk52_4(X2,X3,X4,X1),esk53_4(X2,X3,X4,X1),vabs(esk56_4(X2,X3,X4,X1),esk54_4(X2,X3,X4,X1),vsubst(esk55_4(X2,X3,X4,X1),vvar(esk56_4(X2,X3,X4,X1)),esk57_4(X2,X3,X4,X1))))
| esk48_4(X2,X3,X4,X1) = esk49_4(X2,X3,X4,X1)
| X1 = vapp(vsubst(esk44_4(X2,X3,X4,X1),esk45_4(X2,X3,X4,X1),esk43_4(X2,X3,X4,X1)),vsubst(esk44_4(X2,X3,X4,X1),esk45_4(X2,X3,X4,X1),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_163,plain,
( X1 = vsubst(esk52_4(X2,X3,X4,X1),esk53_4(X2,X3,X4,X1),vabs(esk56_4(X2,X3,X4,X1),esk54_4(X2,X3,X4,X1),vsubst(esk55_4(X2,X3,X4,X1),vvar(esk56_4(X2,X3,X4,X1)),esk57_4(X2,X3,X4,X1))))
| X2 = esk48_4(X2,X3,X4,X1)
| X1 = vapp(vsubst(esk44_4(X2,X3,X4,X1),esk45_4(X2,X3,X4,X1),esk43_4(X2,X3,X4,X1)),vsubst(esk44_4(X2,X3,X4,X1),esk45_4(X2,X3,X4,X1),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_164,plain,
( X1 = vsubst(esk52_4(X2,X3,X4,X1),esk53_4(X2,X3,X4,X1),vabs(esk56_4(X2,X3,X4,X1),esk54_4(X2,X3,X4,X1),vsubst(esk55_4(X2,X3,X4,X1),vvar(esk56_4(X2,X3,X4,X1)),esk57_4(X2,X3,X4,X1))))
| X3 = esk47_4(X2,X3,X4,X1)
| X1 = vapp(vsubst(esk44_4(X2,X3,X4,X1),esk45_4(X2,X3,X4,X1),esk43_4(X2,X3,X4,X1)),vsubst(esk44_4(X2,X3,X4,X1),esk45_4(X2,X3,X4,X1),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_165,plain,
( esk56_4(X1,X2,X3,X4) = vgensym(vapp(vapp(esk53_4(X1,X2,X3,X4),esk57_4(X1,X2,X3,X4)),vvar(esk52_4(X1,X2,X3,X4))))
| X3 = vabs(esk49_4(X1,X2,X3,X4),esk50_4(X1,X2,X3,X4),esk51_4(X1,X2,X3,X4))
| X4 = vapp(vsubst(esk44_4(X1,X2,X3,X4),esk45_4(X1,X2,X3,X4),esk43_4(X1,X2,X3,X4)),vsubst(esk44_4(X1,X2,X3,X4),esk45_4(X1,X2,X3,X4),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_166,plain,
( esk56_4(X1,X2,X3,X4) = vgensym(vapp(vapp(esk53_4(X1,X2,X3,X4),esk57_4(X1,X2,X3,X4)),vvar(esk52_4(X1,X2,X3,X4))))
| X4 = vabs(esk49_4(X1,X2,X3,X4),esk50_4(X1,X2,X3,X4),esk51_4(X1,X2,X3,X4))
| X4 = vapp(vsubst(esk44_4(X1,X2,X3,X4),esk45_4(X1,X2,X3,X4),esk43_4(X1,X2,X3,X4)),vsubst(esk44_4(X1,X2,X3,X4),esk45_4(X1,X2,X3,X4),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_167,plain,
( X1 = vsubst(esk52_4(X2,X3,X4,X1),esk53_4(X2,X3,X4,X1),vabs(esk56_4(X2,X3,X4,X1),esk54_4(X2,X3,X4,X1),vsubst(esk55_4(X2,X3,X4,X1),vvar(esk56_4(X2,X3,X4,X1)),esk57_4(X2,X3,X4,X1))))
| X1 = vabs(esk49_4(X2,X3,X4,X1),esk50_4(X2,X3,X4,X1),esk51_4(X2,X3,X4,X1))
| X4 = vapp(esk43_4(X2,X3,X4,X1),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_168,plain,
( X1 = vsubst(esk52_4(X2,X3,X4,X1),esk53_4(X2,X3,X4,X1),vabs(esk56_4(X2,X3,X4,X1),esk54_4(X2,X3,X4,X1),vsubst(esk55_4(X2,X3,X4,X1),vvar(esk56_4(X2,X3,X4,X1)),esk57_4(X2,X3,X4,X1))))
| X4 = vabs(esk49_4(X2,X3,X4,X1),esk50_4(X2,X3,X4,X1),esk51_4(X2,X3,X4,X1))
| X4 = vapp(esk43_4(X2,X3,X4,X1),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_169,plain,
( X1 = vsubst(esk52_4(X2,X3,X4,X1),esk53_4(X2,X3,X4,X1),vabs(esk56_4(X2,X3,X4,X1),esk54_4(X2,X3,X4,X1),vsubst(esk55_4(X2,X3,X4,X1),vvar(esk56_4(X2,X3,X4,X1)),esk57_4(X2,X3,X4,X1))))
| X1 = vabs(esk49_4(X2,X3,X4,X1),esk50_4(X2,X3,X4,X1),esk51_4(X2,X3,X4,X1))
| X2 = esk44_4(X2,X3,X4,X1)
| epred1_4(X1,X4,X3,X2)
| ~ epred2_4(X1,X4,X3,X2) ),
inference(split_conjunct,[status(thm)],[i_0_80]),
[final] ).
cnf(i_0_170,plain,
( X1 = vsubst(esk52_4(X2,X3,X4,X1),esk53_4(X2,X3,X4,X1),vabs(esk56_4(X2,X3,X4,X1),esk54_4(X2,X3,X4,X1),vsubst(esk55_4(X2,X3,X4,X1),vvar(esk56_4(X2,X3,X4,X1)),esk57_4(X2,X3,X4,X1))))
| X4 = vabs(esk49_4(X2,X3,X4,X1),esk50_4(X2,X3,X4,X1),esk51_4(X2,X3,X4,X1))
| X2 = esk44_4(X2,X3,X4,X1)
| epred1_4(X1,X4,X3,X2)
| ~ epred2_4(X1,X4,X3,X2) ),
inference(split_conjunct,[status(thm)],[i_0_80]),
[final] ).
cnf(i_0_171,plain,
( X1 = vsubst(esk52_4(X2,X3,X4,X1),esk53_4(X2,X3,X4,X1),vabs(esk56_4(X2,X3,X4,X1),esk54_4(X2,X3,X4,X1),vsubst(esk55_4(X2,X3,X4,X1),vvar(esk56_4(X2,X3,X4,X1)),esk57_4(X2,X3,X4,X1))))
| X1 = vabs(esk49_4(X2,X3,X4,X1),esk50_4(X2,X3,X4,X1),esk51_4(X2,X3,X4,X1))
| X3 = esk45_4(X2,X3,X4,X1)
| epred1_4(X1,X4,X3,X2)
| ~ epred2_4(X1,X4,X3,X2) ),
inference(split_conjunct,[status(thm)],[i_0_80]),
[final] ).
cnf(i_0_172,plain,
( X1 = vsubst(esk52_4(X2,X3,X4,X1),esk53_4(X2,X3,X4,X1),vabs(esk56_4(X2,X3,X4,X1),esk54_4(X2,X3,X4,X1),vsubst(esk55_4(X2,X3,X4,X1),vvar(esk56_4(X2,X3,X4,X1)),esk57_4(X2,X3,X4,X1))))
| X4 = vabs(esk49_4(X2,X3,X4,X1),esk50_4(X2,X3,X4,X1),esk51_4(X2,X3,X4,X1))
| X3 = esk45_4(X2,X3,X4,X1)
| epred1_4(X1,X4,X3,X2)
| ~ epred2_4(X1,X4,X3,X2) ),
inference(split_conjunct,[status(thm)],[i_0_80]),
[final] ).
cnf(i_0_173,plain,
( esk56_4(X1,X2,X3,X4) = vgensym(vapp(vapp(esk53_4(X1,X2,X3,X4),esk57_4(X1,X2,X3,X4)),vvar(esk52_4(X1,X2,X3,X4))))
| esk48_4(X1,X2,X3,X4) = esk49_4(X1,X2,X3,X4)
| X4 = vapp(vsubst(esk44_4(X1,X2,X3,X4),esk45_4(X1,X2,X3,X4),esk43_4(X1,X2,X3,X4)),vsubst(esk44_4(X1,X2,X3,X4),esk45_4(X1,X2,X3,X4),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_174,plain,
( X1 = vsubst(esk52_4(X2,X3,X4,X1),esk53_4(X2,X3,X4,X1),vabs(esk56_4(X2,X3,X4,X1),esk54_4(X2,X3,X4,X1),vsubst(esk55_4(X2,X3,X4,X1),vvar(esk56_4(X2,X3,X4,X1)),esk57_4(X2,X3,X4,X1))))
| esk48_4(X2,X3,X4,X1) = esk49_4(X2,X3,X4,X1)
| X4 = vapp(esk43_4(X2,X3,X4,X1),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_175,plain,
( esk56_4(X1,X2,X3,X4) = vgensym(vapp(vapp(esk53_4(X1,X2,X3,X4),esk57_4(X1,X2,X3,X4)),vvar(esk52_4(X1,X2,X3,X4))))
| X1 = esk48_4(X1,X2,X3,X4)
| X4 = vapp(vsubst(esk44_4(X1,X2,X3,X4),esk45_4(X1,X2,X3,X4),esk43_4(X1,X2,X3,X4)),vsubst(esk44_4(X1,X2,X3,X4),esk45_4(X1,X2,X3,X4),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_176,plain,
( esk56_4(X1,X2,X3,X4) = vgensym(vapp(vapp(esk53_4(X1,X2,X3,X4),esk57_4(X1,X2,X3,X4)),vvar(esk52_4(X1,X2,X3,X4))))
| X2 = esk47_4(X1,X2,X3,X4)
| X4 = vapp(vsubst(esk44_4(X1,X2,X3,X4),esk45_4(X1,X2,X3,X4),esk43_4(X1,X2,X3,X4)),vsubst(esk44_4(X1,X2,X3,X4),esk45_4(X1,X2,X3,X4),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_177,plain,
( X1 = vsubst(esk52_4(X2,X3,X4,X1),esk53_4(X2,X3,X4,X1),vabs(esk56_4(X2,X3,X4,X1),esk54_4(X2,X3,X4,X1),vsubst(esk55_4(X2,X3,X4,X1),vvar(esk56_4(X2,X3,X4,X1)),esk57_4(X2,X3,X4,X1))))
| X2 = esk48_4(X2,X3,X4,X1)
| X4 = vapp(esk43_4(X2,X3,X4,X1),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_178,plain,
( X1 = vsubst(esk52_4(X2,X3,X4,X1),esk53_4(X2,X3,X4,X1),vabs(esk56_4(X2,X3,X4,X1),esk54_4(X2,X3,X4,X1),vsubst(esk55_4(X2,X3,X4,X1),vvar(esk56_4(X2,X3,X4,X1)),esk57_4(X2,X3,X4,X1))))
| X3 = esk47_4(X2,X3,X4,X1)
| X4 = vapp(esk43_4(X2,X3,X4,X1),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_179,plain,
( X1 = vsubst(esk52_4(X2,X3,X4,X1),esk53_4(X2,X3,X4,X1),vabs(esk56_4(X2,X3,X4,X1),esk54_4(X2,X3,X4,X1),vsubst(esk55_4(X2,X3,X4,X1),vvar(esk56_4(X2,X3,X4,X1)),esk57_4(X2,X3,X4,X1))))
| esk48_4(X2,X3,X4,X1) = esk49_4(X2,X3,X4,X1)
| X2 = esk44_4(X2,X3,X4,X1)
| epred1_4(X1,X4,X3,X2)
| ~ epred2_4(X1,X4,X3,X2) ),
inference(split_conjunct,[status(thm)],[i_0_80]),
[final] ).
cnf(i_0_180,plain,
( X1 = vsubst(esk52_4(X2,X3,X4,X1),esk53_4(X2,X3,X4,X1),vabs(esk56_4(X2,X3,X4,X1),esk54_4(X2,X3,X4,X1),vsubst(esk55_4(X2,X3,X4,X1),vvar(esk56_4(X2,X3,X4,X1)),esk57_4(X2,X3,X4,X1))))
| esk48_4(X2,X3,X4,X1) = esk49_4(X2,X3,X4,X1)
| X3 = esk45_4(X2,X3,X4,X1)
| epred1_4(X1,X4,X3,X2)
| ~ epred2_4(X1,X4,X3,X2) ),
inference(split_conjunct,[status(thm)],[i_0_80]),
[final] ).
cnf(i_0_181,plain,
( X1 = vsubst(esk52_4(X2,X3,X4,X1),esk53_4(X2,X3,X4,X1),vabs(esk56_4(X2,X3,X4,X1),esk54_4(X2,X3,X4,X1),vsubst(esk55_4(X2,X3,X4,X1),vvar(esk56_4(X2,X3,X4,X1)),esk57_4(X2,X3,X4,X1))))
| X2 = esk48_4(X2,X3,X4,X1)
| X2 = esk44_4(X2,X3,X4,X1)
| epred1_4(X1,X4,X3,X2)
| ~ epred2_4(X1,X4,X3,X2) ),
inference(split_conjunct,[status(thm)],[i_0_80]),
[final] ).
cnf(i_0_182,plain,
( X1 = vsubst(esk52_4(X2,X3,X4,X1),esk53_4(X2,X3,X4,X1),vabs(esk56_4(X2,X3,X4,X1),esk54_4(X2,X3,X4,X1),vsubst(esk55_4(X2,X3,X4,X1),vvar(esk56_4(X2,X3,X4,X1)),esk57_4(X2,X3,X4,X1))))
| X3 = esk47_4(X2,X3,X4,X1)
| X2 = esk44_4(X2,X3,X4,X1)
| epred1_4(X1,X4,X3,X2)
| ~ epred2_4(X1,X4,X3,X2) ),
inference(split_conjunct,[status(thm)],[i_0_80]),
[final] ).
cnf(i_0_183,plain,
( X1 = vsubst(esk52_4(X2,X3,X4,X1),esk53_4(X2,X3,X4,X1),vabs(esk56_4(X2,X3,X4,X1),esk54_4(X2,X3,X4,X1),vsubst(esk55_4(X2,X3,X4,X1),vvar(esk56_4(X2,X3,X4,X1)),esk57_4(X2,X3,X4,X1))))
| X2 = esk48_4(X2,X3,X4,X1)
| X3 = esk45_4(X2,X3,X4,X1)
| epred1_4(X1,X4,X3,X2)
| ~ epred2_4(X1,X4,X3,X2) ),
inference(split_conjunct,[status(thm)],[i_0_80]),
[final] ).
cnf(i_0_184,plain,
( X1 = vsubst(esk52_4(X2,X3,X4,X1),esk53_4(X2,X3,X4,X1),vabs(esk56_4(X2,X3,X4,X1),esk54_4(X2,X3,X4,X1),vsubst(esk55_4(X2,X3,X4,X1),vvar(esk56_4(X2,X3,X4,X1)),esk57_4(X2,X3,X4,X1))))
| X3 = esk47_4(X2,X3,X4,X1)
| X3 = esk45_4(X2,X3,X4,X1)
| epred1_4(X1,X4,X3,X2)
| ~ epred2_4(X1,X4,X3,X2) ),
inference(split_conjunct,[status(thm)],[i_0_80]),
[final] ).
cnf(i_0_185,plain,
( X1 = vabs(esk55_4(X2,X3,X1,X4),esk54_4(X2,X3,X1,X4),esk57_4(X2,X3,X1,X4))
| X1 = vabs(esk49_4(X2,X3,X1,X4),esk50_4(X2,X3,X1,X4),esk51_4(X2,X3,X1,X4))
| X4 = vapp(vsubst(esk44_4(X2,X3,X1,X4),esk45_4(X2,X3,X1,X4),esk43_4(X2,X3,X1,X4)),vsubst(esk44_4(X2,X3,X1,X4),esk45_4(X2,X3,X1,X4),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_186,plain,
( X1 = vabs(esk55_4(X2,X3,X1,X4),esk54_4(X2,X3,X1,X4),esk57_4(X2,X3,X1,X4))
| X4 = vabs(esk49_4(X2,X3,X1,X4),esk50_4(X2,X3,X1,X4),esk51_4(X2,X3,X1,X4))
| X4 = vapp(vsubst(esk44_4(X2,X3,X1,X4),esk45_4(X2,X3,X1,X4),esk43_4(X2,X3,X1,X4)),vsubst(esk44_4(X2,X3,X1,X4),esk45_4(X2,X3,X1,X4),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_187,plain,
( esk56_4(X1,X2,X3,X4) = vgensym(vapp(vapp(esk53_4(X1,X2,X3,X4),esk57_4(X1,X2,X3,X4)),vvar(esk52_4(X1,X2,X3,X4))))
| X3 = vabs(esk49_4(X1,X2,X3,X4),esk50_4(X1,X2,X3,X4),esk51_4(X1,X2,X3,X4))
| X3 = vapp(esk43_4(X1,X2,X3,X4),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_188,plain,
( esk56_4(X1,X2,X3,X4) = vgensym(vapp(vapp(esk53_4(X1,X2,X3,X4),esk57_4(X1,X2,X3,X4)),vvar(esk52_4(X1,X2,X3,X4))))
| X4 = vabs(esk49_4(X1,X2,X3,X4),esk50_4(X1,X2,X3,X4),esk51_4(X1,X2,X3,X4))
| X3 = vapp(esk43_4(X1,X2,X3,X4),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_189,plain,
( visFreeVar(esk55_4(X1,X2,X3,X4),esk53_4(X1,X2,X3,X4))
| X3 = vabs(esk49_4(X1,X2,X3,X4),esk50_4(X1,X2,X3,X4),esk51_4(X1,X2,X3,X4))
| X4 = vapp(vsubst(esk44_4(X1,X2,X3,X4),esk45_4(X1,X2,X3,X4),esk43_4(X1,X2,X3,X4)),vsubst(esk44_4(X1,X2,X3,X4),esk45_4(X1,X2,X3,X4),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_190,plain,
( visFreeVar(esk55_4(X1,X2,X3,X4),esk53_4(X1,X2,X3,X4))
| X4 = vabs(esk49_4(X1,X2,X3,X4),esk50_4(X1,X2,X3,X4),esk51_4(X1,X2,X3,X4))
| X4 = vapp(vsubst(esk44_4(X1,X2,X3,X4),esk45_4(X1,X2,X3,X4),esk43_4(X1,X2,X3,X4)),vsubst(esk44_4(X1,X2,X3,X4),esk45_4(X1,X2,X3,X4),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_191,plain,
( X3 = vabs(esk49_4(X1,X2,X3,X4),esk50_4(X1,X2,X3,X4),esk51_4(X1,X2,X3,X4))
| X4 = vapp(vsubst(esk44_4(X1,X2,X3,X4),esk45_4(X1,X2,X3,X4),esk43_4(X1,X2,X3,X4)),vsubst(esk44_4(X1,X2,X3,X4),esk45_4(X1,X2,X3,X4),esk46_4(X1,X2,X3,X4)))
| epred1_4(X4,X3,X2,X1)
| esk52_4(X1,X2,X3,X4) != esk55_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(esk49_4(X1,X2,X3,X4),esk50_4(X1,X2,X3,X4),esk51_4(X1,X2,X3,X4))
| X4 = vapp(vsubst(esk44_4(X1,X2,X3,X4),esk45_4(X1,X2,X3,X4),esk43_4(X1,X2,X3,X4)),vsubst(esk44_4(X1,X2,X3,X4),esk45_4(X1,X2,X3,X4),esk46_4(X1,X2,X3,X4)))
| epred1_4(X4,X3,X2,X1)
| esk52_4(X1,X2,X3,X4) != esk55_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(esk55_4(X2,X3,X1,X4),esk54_4(X2,X3,X1,X4),esk57_4(X2,X3,X1,X4))
| esk48_4(X2,X3,X1,X4) = esk49_4(X2,X3,X1,X4)
| X4 = vapp(vsubst(esk44_4(X2,X3,X1,X4),esk45_4(X2,X3,X1,X4),esk43_4(X2,X3,X1,X4)),vsubst(esk44_4(X2,X3,X1,X4),esk45_4(X2,X3,X1,X4),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_194,plain,
( esk56_4(X1,X2,X3,X4) = vgensym(vapp(vapp(esk53_4(X1,X2,X3,X4),esk57_4(X1,X2,X3,X4)),vvar(esk52_4(X1,X2,X3,X4))))
| X3 = vabs(esk49_4(X1,X2,X3,X4),esk50_4(X1,X2,X3,X4),esk51_4(X1,X2,X3,X4))
| X1 = esk44_4(X1,X2,X3,X4)
| epred1_4(X4,X3,X2,X1)
| ~ epred2_4(X4,X3,X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_80]),
[final] ).
cnf(i_0_195,plain,
( esk56_4(X1,X2,X3,X4) = vgensym(vapp(vapp(esk53_4(X1,X2,X3,X4),esk57_4(X1,X2,X3,X4)),vvar(esk52_4(X1,X2,X3,X4))))
| X4 = vabs(esk49_4(X1,X2,X3,X4),esk50_4(X1,X2,X3,X4),esk51_4(X1,X2,X3,X4))
| X1 = esk44_4(X1,X2,X3,X4)
| epred1_4(X4,X3,X2,X1)
| ~ epred2_4(X4,X3,X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_80]),
[final] ).
cnf(i_0_196,plain,
( esk56_4(X1,X2,X3,X4) = vgensym(vapp(vapp(esk53_4(X1,X2,X3,X4),esk57_4(X1,X2,X3,X4)),vvar(esk52_4(X1,X2,X3,X4))))
| X3 = vabs(esk49_4(X1,X2,X3,X4),esk50_4(X1,X2,X3,X4),esk51_4(X1,X2,X3,X4))
| X2 = esk45_4(X1,X2,X3,X4)
| epred1_4(X4,X3,X2,X1)
| ~ epred2_4(X4,X3,X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_80]),
[final] ).
cnf(i_0_197,plain,
( esk56_4(X1,X2,X3,X4) = vgensym(vapp(vapp(esk53_4(X1,X2,X3,X4),esk57_4(X1,X2,X3,X4)),vvar(esk52_4(X1,X2,X3,X4))))
| X4 = vabs(esk49_4(X1,X2,X3,X4),esk50_4(X1,X2,X3,X4),esk51_4(X1,X2,X3,X4))
| X2 = esk45_4(X1,X2,X3,X4)
| epred1_4(X4,X3,X2,X1)
| ~ epred2_4(X4,X3,X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_80]),
[final] ).
cnf(i_0_198,plain,
( X1 = esk53_4(X2,X1,X3,X4)
| X3 = vabs(esk49_4(X2,X1,X3,X4),esk50_4(X2,X1,X3,X4),esk51_4(X2,X1,X3,X4))
| X4 = vapp(vsubst(esk44_4(X2,X1,X3,X4),esk45_4(X2,X1,X3,X4),esk43_4(X2,X1,X3,X4)),vsubst(esk44_4(X2,X1,X3,X4),esk45_4(X2,X1,X3,X4),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_199,plain,
( X1 = esk53_4(X2,X1,X3,X4)
| X4 = vabs(esk49_4(X2,X1,X3,X4),esk50_4(X2,X1,X3,X4),esk51_4(X2,X1,X3,X4))
| X4 = vapp(vsubst(esk44_4(X2,X1,X3,X4),esk45_4(X2,X1,X3,X4),esk43_4(X2,X1,X3,X4)),vsubst(esk44_4(X2,X1,X3,X4),esk45_4(X2,X1,X3,X4),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_200,plain,
( X1 = esk52_4(X1,X2,X3,X4)
| X3 = vabs(esk49_4(X1,X2,X3,X4),esk50_4(X1,X2,X3,X4),esk51_4(X1,X2,X3,X4))
| X4 = vapp(vsubst(esk44_4(X1,X2,X3,X4),esk45_4(X1,X2,X3,X4),esk43_4(X1,X2,X3,X4)),vsubst(esk44_4(X1,X2,X3,X4),esk45_4(X1,X2,X3,X4),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_201,plain,
( X1 = esk52_4(X1,X2,X3,X4)
| X4 = vabs(esk49_4(X1,X2,X3,X4),esk50_4(X1,X2,X3,X4),esk51_4(X1,X2,X3,X4))
| X4 = vapp(vsubst(esk44_4(X1,X2,X3,X4),esk45_4(X1,X2,X3,X4),esk43_4(X1,X2,X3,X4)),vsubst(esk44_4(X1,X2,X3,X4),esk45_4(X1,X2,X3,X4),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_202,plain,
( X1 = vabs(esk55_4(X2,X3,X1,X4),esk54_4(X2,X3,X1,X4),esk57_4(X2,X3,X1,X4))
| X2 = esk48_4(X2,X3,X1,X4)
| X4 = vapp(vsubst(esk44_4(X2,X3,X1,X4),esk45_4(X2,X3,X1,X4),esk43_4(X2,X3,X1,X4)),vsubst(esk44_4(X2,X3,X1,X4),esk45_4(X2,X3,X1,X4),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_203,plain,
( X1 = vabs(esk55_4(X2,X3,X1,X4),esk54_4(X2,X3,X1,X4),esk57_4(X2,X3,X1,X4))
| X3 = esk47_4(X2,X3,X1,X4)
| X4 = vapp(vsubst(esk44_4(X2,X3,X1,X4),esk45_4(X2,X3,X1,X4),esk43_4(X2,X3,X1,X4)),vsubst(esk44_4(X2,X3,X1,X4),esk45_4(X2,X3,X1,X4),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_204,plain,
( esk56_4(X1,X2,X3,X4) = vgensym(vapp(vapp(esk53_4(X1,X2,X3,X4),esk57_4(X1,X2,X3,X4)),vvar(esk52_4(X1,X2,X3,X4))))
| esk48_4(X1,X2,X3,X4) = esk49_4(X1,X2,X3,X4)
| X3 = vapp(esk43_4(X1,X2,X3,X4),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_205,plain,
( visFreeVar(esk55_4(X1,X2,X3,X4),esk53_4(X1,X2,X3,X4))
| esk48_4(X1,X2,X3,X4) = esk49_4(X1,X2,X3,X4)
| X4 = vapp(vsubst(esk44_4(X1,X2,X3,X4),esk45_4(X1,X2,X3,X4),esk43_4(X1,X2,X3,X4)),vsubst(esk44_4(X1,X2,X3,X4),esk45_4(X1,X2,X3,X4),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_206,plain,
( esk56_4(X1,X2,X3,X4) = vgensym(vapp(vapp(esk53_4(X1,X2,X3,X4),esk57_4(X1,X2,X3,X4)),vvar(esk52_4(X1,X2,X3,X4))))
| X1 = esk48_4(X1,X2,X3,X4)
| X3 = vapp(esk43_4(X1,X2,X3,X4),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_207,plain,
( esk56_4(X1,X2,X3,X4) = vgensym(vapp(vapp(esk53_4(X1,X2,X3,X4),esk57_4(X1,X2,X3,X4)),vvar(esk52_4(X1,X2,X3,X4))))
| X2 = esk47_4(X1,X2,X3,X4)
| X3 = vapp(esk43_4(X1,X2,X3,X4),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_208,plain,
( esk48_4(X1,X2,X3,X4) = esk49_4(X1,X2,X3,X4)
| X4 = vapp(vsubst(esk44_4(X1,X2,X3,X4),esk45_4(X1,X2,X3,X4),esk43_4(X1,X2,X3,X4)),vsubst(esk44_4(X1,X2,X3,X4),esk45_4(X1,X2,X3,X4),esk46_4(X1,X2,X3,X4)))
| epred1_4(X4,X3,X2,X1)
| esk52_4(X1,X2,X3,X4) != esk55_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(esk55_4(X1,X2,X3,X4),esk53_4(X1,X2,X3,X4))
| X1 = esk48_4(X1,X2,X3,X4)
| X4 = vapp(vsubst(esk44_4(X1,X2,X3,X4),esk45_4(X1,X2,X3,X4),esk43_4(X1,X2,X3,X4)),vsubst(esk44_4(X1,X2,X3,X4),esk45_4(X1,X2,X3,X4),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_210,plain,
( visFreeVar(esk55_4(X1,X2,X3,X4),esk53_4(X1,X2,X3,X4))
| X2 = esk47_4(X1,X2,X3,X4)
| X4 = vapp(vsubst(esk44_4(X1,X2,X3,X4),esk45_4(X1,X2,X3,X4),esk43_4(X1,X2,X3,X4)),vsubst(esk44_4(X1,X2,X3,X4),esk45_4(X1,X2,X3,X4),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_211,plain,
( X1 = esk48_4(X1,X2,X3,X4)
| X4 = vapp(vsubst(esk44_4(X1,X2,X3,X4),esk45_4(X1,X2,X3,X4),esk43_4(X1,X2,X3,X4)),vsubst(esk44_4(X1,X2,X3,X4),esk45_4(X1,X2,X3,X4),esk46_4(X1,X2,X3,X4)))
| epred1_4(X4,X3,X2,X1)
| esk52_4(X1,X2,X3,X4) != esk55_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 = esk47_4(X1,X2,X3,X4)
| X4 = vapp(vsubst(esk44_4(X1,X2,X3,X4),esk45_4(X1,X2,X3,X4),esk43_4(X1,X2,X3,X4)),vsubst(esk44_4(X1,X2,X3,X4),esk45_4(X1,X2,X3,X4),esk46_4(X1,X2,X3,X4)))
| epred1_4(X4,X3,X2,X1)
| esk52_4(X1,X2,X3,X4) != esk55_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,
( esk56_4(X1,X2,X3,X4) = vgensym(vapp(vapp(esk53_4(X1,X2,X3,X4),esk57_4(X1,X2,X3,X4)),vvar(esk52_4(X1,X2,X3,X4))))
| esk48_4(X1,X2,X3,X4) = esk49_4(X1,X2,X3,X4)
| X1 = esk44_4(X1,X2,X3,X4)
| epred1_4(X4,X3,X2,X1)
| ~ epred2_4(X4,X3,X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_80]),
[final] ).
cnf(i_0_214,plain,
( esk56_4(X1,X2,X3,X4) = vgensym(vapp(vapp(esk53_4(X1,X2,X3,X4),esk57_4(X1,X2,X3,X4)),vvar(esk52_4(X1,X2,X3,X4))))
| esk48_4(X1,X2,X3,X4) = esk49_4(X1,X2,X3,X4)
| X2 = esk45_4(X1,X2,X3,X4)
| epred1_4(X4,X3,X2,X1)
| ~ epred2_4(X4,X3,X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_80]),
[final] ).
cnf(i_0_215,plain,
( X1 = esk53_4(X2,X1,X3,X4)
| esk48_4(X2,X1,X3,X4) = esk49_4(X2,X1,X3,X4)
| X4 = vapp(vsubst(esk44_4(X2,X1,X3,X4),esk45_4(X2,X1,X3,X4),esk43_4(X2,X1,X3,X4)),vsubst(esk44_4(X2,X1,X3,X4),esk45_4(X2,X1,X3,X4),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_216,plain,
( X1 = esk52_4(X1,X2,X3,X4)
| esk48_4(X1,X2,X3,X4) = esk49_4(X1,X2,X3,X4)
| X4 = vapp(vsubst(esk44_4(X1,X2,X3,X4),esk45_4(X1,X2,X3,X4),esk43_4(X1,X2,X3,X4)),vsubst(esk44_4(X1,X2,X3,X4),esk45_4(X1,X2,X3,X4),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_217,plain,
( esk56_4(X1,X2,X3,X4) = vgensym(vapp(vapp(esk53_4(X1,X2,X3,X4),esk57_4(X1,X2,X3,X4)),vvar(esk52_4(X1,X2,X3,X4))))
| X1 = esk48_4(X1,X2,X3,X4)
| X1 = esk44_4(X1,X2,X3,X4)
| epred1_4(X4,X3,X2,X1)
| ~ epred2_4(X4,X3,X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_80]),
[final] ).
cnf(i_0_218,plain,
( esk56_4(X1,X2,X3,X4) = vgensym(vapp(vapp(esk53_4(X1,X2,X3,X4),esk57_4(X1,X2,X3,X4)),vvar(esk52_4(X1,X2,X3,X4))))
| X2 = esk47_4(X1,X2,X3,X4)
| X1 = esk44_4(X1,X2,X3,X4)
| epred1_4(X4,X3,X2,X1)
| ~ epred2_4(X4,X3,X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_80]),
[final] ).
cnf(i_0_219,plain,
( esk56_4(X1,X2,X3,X4) = vgensym(vapp(vapp(esk53_4(X1,X2,X3,X4),esk57_4(X1,X2,X3,X4)),vvar(esk52_4(X1,X2,X3,X4))))
| X1 = esk48_4(X1,X2,X3,X4)
| X2 = esk45_4(X1,X2,X3,X4)
| epred1_4(X4,X3,X2,X1)
| ~ epred2_4(X4,X3,X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_80]),
[final] ).
cnf(i_0_220,plain,
( esk56_4(X1,X2,X3,X4) = vgensym(vapp(vapp(esk53_4(X1,X2,X3,X4),esk57_4(X1,X2,X3,X4)),vvar(esk52_4(X1,X2,X3,X4))))
| X2 = esk47_4(X1,X2,X3,X4)
| X2 = esk45_4(X1,X2,X3,X4)
| epred1_4(X4,X3,X2,X1)
| ~ epred2_4(X4,X3,X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_80]),
[final] ).
cnf(i_0_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 = esk52_4(X1,X2,X3,X4)
| X1 = esk48_4(X1,X2,X3,X4)
| X4 = vapp(vsubst(esk44_4(X1,X2,X3,X4),esk45_4(X1,X2,X3,X4),esk43_4(X1,X2,X3,X4)),vsubst(esk44_4(X1,X2,X3,X4),esk45_4(X1,X2,X3,X4),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_223,plain,
( X1 = esk53_4(X2,X1,X3,X4)
| X1 = esk47_4(X2,X1,X3,X4)
| X4 = vapp(vsubst(esk44_4(X2,X1,X3,X4),esk45_4(X2,X1,X3,X4),esk43_4(X2,X1,X3,X4)),vsubst(esk44_4(X2,X1,X3,X4),esk45_4(X2,X1,X3,X4),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_224,plain,
( X1 = esk53_4(X2,X1,X3,X4)
| X2 = esk48_4(X2,X1,X3,X4)
| X4 = vapp(vsubst(esk44_4(X2,X1,X3,X4),esk45_4(X2,X1,X3,X4),esk43_4(X2,X1,X3,X4)),vsubst(esk44_4(X2,X1,X3,X4),esk45_4(X2,X1,X3,X4),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_225,plain,
( X1 = esk52_4(X1,X2,X3,X4)
| X2 = esk47_4(X1,X2,X3,X4)
| X4 = vapp(vsubst(esk44_4(X1,X2,X3,X4),esk45_4(X1,X2,X3,X4),esk43_4(X1,X2,X3,X4)),vsubst(esk44_4(X1,X2,X3,X4),esk45_4(X1,X2,X3,X4),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_226,plain,
( X1 = vabs(esk55_4(X2,X3,X1,X4),esk54_4(X2,X3,X1,X4),esk57_4(X2,X3,X1,X4))
| X1 = vabs(esk49_4(X2,X3,X1,X4),esk50_4(X2,X3,X1,X4),esk51_4(X2,X3,X1,X4))
| X1 = vapp(esk43_4(X2,X3,X1,X4),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_227,plain,
( X1 = vabs(esk55_4(X2,X3,X1,X4),esk54_4(X2,X3,X1,X4),esk57_4(X2,X3,X1,X4))
| X4 = vabs(esk49_4(X2,X3,X1,X4),esk50_4(X2,X3,X1,X4),esk51_4(X2,X3,X1,X4))
| X1 = vapp(esk43_4(X2,X3,X1,X4),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_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(esk55_4(X1,X2,X3,X4),esk53_4(X1,X2,X3,X4))
| X3 = vabs(esk49_4(X1,X2,X3,X4),esk50_4(X1,X2,X3,X4),esk51_4(X1,X2,X3,X4))
| X3 = vapp(esk43_4(X1,X2,X3,X4),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_230,plain,
( visFreeVar(esk55_4(X1,X2,X3,X4),esk53_4(X1,X2,X3,X4))
| X4 = vabs(esk49_4(X1,X2,X3,X4),esk50_4(X1,X2,X3,X4),esk51_4(X1,X2,X3,X4))
| X3 = vapp(esk43_4(X1,X2,X3,X4),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_231,plain,
( X1 = vabs(esk55_4(X2,X3,X1,X4),esk54_4(X2,X3,X1,X4),esk57_4(X2,X3,X1,X4))
| X1 = vabs(esk49_4(X2,X3,X1,X4),esk50_4(X2,X3,X1,X4),esk51_4(X2,X3,X1,X4))
| X2 = esk44_4(X2,X3,X1,X4)
| epred1_4(X4,X1,X3,X2)
| ~ epred2_4(X4,X1,X3,X2) ),
inference(split_conjunct,[status(thm)],[i_0_80]),
[final] ).
cnf(i_0_232,plain,
( X1 = vabs(esk55_4(X2,X3,X1,X4),esk54_4(X2,X3,X1,X4),esk57_4(X2,X3,X1,X4))
| X4 = vabs(esk49_4(X2,X3,X1,X4),esk50_4(X2,X3,X1,X4),esk51_4(X2,X3,X1,X4))
| X2 = esk44_4(X2,X3,X1,X4)
| epred1_4(X4,X1,X3,X2)
| ~ epred2_4(X4,X1,X3,X2) ),
inference(split_conjunct,[status(thm)],[i_0_80]),
[final] ).
cnf(i_0_233,plain,
( X1 = vabs(esk55_4(X2,X3,X1,X4),esk54_4(X2,X3,X1,X4),esk57_4(X2,X3,X1,X4))
| X1 = vabs(esk49_4(X2,X3,X1,X4),esk50_4(X2,X3,X1,X4),esk51_4(X2,X3,X1,X4))
| X3 = esk45_4(X2,X3,X1,X4)
| epred1_4(X4,X1,X3,X2)
| ~ epred2_4(X4,X1,X3,X2) ),
inference(split_conjunct,[status(thm)],[i_0_80]),
[final] ).
cnf(i_0_234,plain,
( X1 = vabs(esk55_4(X2,X3,X1,X4),esk54_4(X2,X3,X1,X4),esk57_4(X2,X3,X1,X4))
| X4 = vabs(esk49_4(X2,X3,X1,X4),esk50_4(X2,X3,X1,X4),esk51_4(X2,X3,X1,X4))
| X3 = esk45_4(X2,X3,X1,X4)
| epred1_4(X4,X1,X3,X2)
| ~ epred2_4(X4,X1,X3,X2) ),
inference(split_conjunct,[status(thm)],[i_0_80]),
[final] ).
cnf(i_0_235,plain,
( X3 = vabs(esk49_4(X1,X2,X3,X4),esk50_4(X1,X2,X3,X4),esk51_4(X1,X2,X3,X4))
| X3 = vapp(esk43_4(X1,X2,X3,X4),esk46_4(X1,X2,X3,X4))
| epred1_4(X4,X3,X2,X1)
| esk52_4(X1,X2,X3,X4) != esk55_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(esk49_4(X1,X2,X3,X4),esk50_4(X1,X2,X3,X4),esk51_4(X1,X2,X3,X4))
| X3 = vapp(esk43_4(X1,X2,X3,X4),esk46_4(X1,X2,X3,X4))
| epred1_4(X4,X3,X2,X1)
| esk52_4(X1,X2,X3,X4) != esk55_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(esk55_4(X2,X3,X1,X4),esk54_4(X2,X3,X1,X4),esk57_4(X2,X3,X1,X4))
| esk48_4(X2,X3,X1,X4) = esk49_4(X2,X3,X1,X4)
| X1 = vapp(esk43_4(X2,X3,X1,X4),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_238,plain,
( X1 = esk53_4(X2,X1,X3,X4)
| X3 = vabs(esk49_4(X2,X1,X3,X4),esk50_4(X2,X1,X3,X4),esk51_4(X2,X1,X3,X4))
| X3 = vapp(esk43_4(X2,X1,X3,X4),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_239,plain,
( X1 = esk53_4(X2,X1,X3,X4)
| X4 = vabs(esk49_4(X2,X1,X3,X4),esk50_4(X2,X1,X3,X4),esk51_4(X2,X1,X3,X4))
| X3 = vapp(esk43_4(X2,X1,X3,X4),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_240,plain,
( X1 = esk52_4(X1,X2,X3,X4)
| X3 = vabs(esk49_4(X1,X2,X3,X4),esk50_4(X1,X2,X3,X4),esk51_4(X1,X2,X3,X4))
| X3 = vapp(esk43_4(X1,X2,X3,X4),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_241,plain,
( X1 = esk52_4(X1,X2,X3,X4)
| X4 = vabs(esk49_4(X1,X2,X3,X4),esk50_4(X1,X2,X3,X4),esk51_4(X1,X2,X3,X4))
| X3 = vapp(esk43_4(X1,X2,X3,X4),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_242,plain,
( X1 = vabs(esk55_4(X2,X3,X1,X4),esk54_4(X2,X3,X1,X4),esk57_4(X2,X3,X1,X4))
| X2 = esk48_4(X2,X3,X1,X4)
| X1 = vapp(esk43_4(X2,X3,X1,X4),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_243,plain,
( X1 = vabs(esk55_4(X2,X3,X1,X4),esk54_4(X2,X3,X1,X4),esk57_4(X2,X3,X1,X4))
| X3 = esk47_4(X2,X3,X1,X4)
| X1 = vapp(esk43_4(X2,X3,X1,X4),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_244,plain,
( visFreeVar(esk55_4(X1,X2,X3,X4),esk53_4(X1,X2,X3,X4))
| X3 = vabs(esk49_4(X1,X2,X3,X4),esk50_4(X1,X2,X3,X4),esk51_4(X1,X2,X3,X4))
| X1 = esk44_4(X1,X2,X3,X4)
| epred1_4(X4,X3,X2,X1)
| ~ epred2_4(X4,X3,X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_80]),
[final] ).
cnf(i_0_245,plain,
( visFreeVar(esk55_4(X1,X2,X3,X4),esk53_4(X1,X2,X3,X4))
| X4 = vabs(esk49_4(X1,X2,X3,X4),esk50_4(X1,X2,X3,X4),esk51_4(X1,X2,X3,X4))
| X1 = esk44_4(X1,X2,X3,X4)
| epred1_4(X4,X3,X2,X1)
| ~ epred2_4(X4,X3,X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_80]),
[final] ).
cnf(i_0_246,plain,
( visFreeVar(esk55_4(X1,X2,X3,X4),esk53_4(X1,X2,X3,X4))
| X3 = vabs(esk49_4(X1,X2,X3,X4),esk50_4(X1,X2,X3,X4),esk51_4(X1,X2,X3,X4))
| X2 = esk45_4(X1,X2,X3,X4)
| epred1_4(X4,X3,X2,X1)
| ~ epred2_4(X4,X3,X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_80]),
[final] ).
cnf(i_0_247,plain,
( visFreeVar(esk55_4(X1,X2,X3,X4),esk53_4(X1,X2,X3,X4))
| X4 = vabs(esk49_4(X1,X2,X3,X4),esk50_4(X1,X2,X3,X4),esk51_4(X1,X2,X3,X4))
| X2 = esk45_4(X1,X2,X3,X4)
| epred1_4(X4,X3,X2,X1)
| ~ epred2_4(X4,X3,X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_80]),
[final] ).
cnf(i_0_248,plain,
( X3 = vabs(esk49_4(X1,X2,X3,X4),esk50_4(X1,X2,X3,X4),esk51_4(X1,X2,X3,X4))
| X1 = esk44_4(X1,X2,X3,X4)
| epred1_4(X4,X3,X2,X1)
| esk52_4(X1,X2,X3,X4) != esk55_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(esk49_4(X1,X2,X3,X4),esk50_4(X1,X2,X3,X4),esk51_4(X1,X2,X3,X4))
| X1 = esk44_4(X1,X2,X3,X4)
| epred1_4(X4,X3,X2,X1)
| esk52_4(X1,X2,X3,X4) != esk55_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(esk49_4(X1,X2,X3,X4),esk50_4(X1,X2,X3,X4),esk51_4(X1,X2,X3,X4))
| X2 = esk45_4(X1,X2,X3,X4)
| epred1_4(X4,X3,X2,X1)
| esk52_4(X1,X2,X3,X4) != esk55_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(esk49_4(X1,X2,X3,X4),esk50_4(X1,X2,X3,X4),esk51_4(X1,X2,X3,X4))
| X2 = esk45_4(X1,X2,X3,X4)
| epred1_4(X4,X3,X2,X1)
| esk52_4(X1,X2,X3,X4) != esk55_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(esk55_4(X1,X2,X3,X4),esk53_4(X1,X2,X3,X4))
| esk48_4(X1,X2,X3,X4) = esk49_4(X1,X2,X3,X4)
| X3 = vapp(esk43_4(X1,X2,X3,X4),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_253,plain,
( X1 = vabs(esk55_4(X2,X3,X1,X4),esk54_4(X2,X3,X1,X4),esk57_4(X2,X3,X1,X4))
| esk48_4(X2,X3,X1,X4) = esk49_4(X2,X3,X1,X4)
| X2 = esk44_4(X2,X3,X1,X4)
| epred1_4(X4,X1,X3,X2)
| ~ epred2_4(X4,X1,X3,X2) ),
inference(split_conjunct,[status(thm)],[i_0_80]),
[final] ).
cnf(i_0_254,plain,
( X1 = vabs(esk55_4(X2,X3,X1,X4),esk54_4(X2,X3,X1,X4),esk57_4(X2,X3,X1,X4))
| esk48_4(X2,X3,X1,X4) = esk49_4(X2,X3,X1,X4)
| X3 = esk45_4(X2,X3,X1,X4)
| epred1_4(X4,X1,X3,X2)
| ~ epred2_4(X4,X1,X3,X2) ),
inference(split_conjunct,[status(thm)],[i_0_80]),
[final] ).
cnf(i_0_255,plain,
( esk48_4(X1,X2,X3,X4) = esk49_4(X1,X2,X3,X4)
| X3 = vapp(esk43_4(X1,X2,X3,X4),esk46_4(X1,X2,X3,X4))
| epred1_4(X4,X3,X2,X1)
| esk52_4(X1,X2,X3,X4) != esk55_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(esk55_4(X1,X2,X3,X4),esk53_4(X1,X2,X3,X4))
| X1 = esk48_4(X1,X2,X3,X4)
| X3 = vapp(esk43_4(X1,X2,X3,X4),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_257,plain,
( visFreeVar(esk55_4(X1,X2,X3,X4),esk53_4(X1,X2,X3,X4))
| X2 = esk47_4(X1,X2,X3,X4)
| X3 = vapp(esk43_4(X1,X2,X3,X4),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_258,plain,
( X1 = esk53_4(X2,X1,X3,X4)
| X3 = vabs(esk49_4(X2,X1,X3,X4),esk50_4(X2,X1,X3,X4),esk51_4(X2,X1,X3,X4))
| X1 = esk45_4(X2,X1,X3,X4)
| epred1_4(X4,X3,X1,X2)
| ~ epred2_4(X4,X3,X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_80]),
[final] ).
cnf(i_0_259,plain,
( X1 = esk53_4(X2,X1,X3,X4)
| X4 = vabs(esk49_4(X2,X1,X3,X4),esk50_4(X2,X1,X3,X4),esk51_4(X2,X1,X3,X4))
| X1 = esk45_4(X2,X1,X3,X4)
| epred1_4(X4,X3,X1,X2)
| ~ epred2_4(X4,X3,X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_80]),
[final] ).
cnf(i_0_260,plain,
( X1 = esk52_4(X1,X2,X3,X4)
| X3 = vabs(esk49_4(X1,X2,X3,X4),esk50_4(X1,X2,X3,X4),esk51_4(X1,X2,X3,X4))
| X1 = esk44_4(X1,X2,X3,X4)
| epred1_4(X4,X3,X2,X1)
| ~ epred2_4(X4,X3,X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_80]),
[final] ).
cnf(i_0_261,plain,
( X1 = esk52_4(X1,X2,X3,X4)
| X4 = vabs(esk49_4(X1,X2,X3,X4),esk50_4(X1,X2,X3,X4),esk51_4(X1,X2,X3,X4))
| X1 = esk44_4(X1,X2,X3,X4)
| epred1_4(X4,X3,X2,X1)
| ~ epred2_4(X4,X3,X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_80]),
[final] ).
cnf(i_0_262,plain,
( X1 = esk52_4(X1,X2,X3,X4)
| X3 = vabs(esk49_4(X1,X2,X3,X4),esk50_4(X1,X2,X3,X4),esk51_4(X1,X2,X3,X4))
| X2 = esk45_4(X1,X2,X3,X4)
| epred1_4(X4,X3,X2,X1)
| ~ epred2_4(X4,X3,X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_80]),
[final] ).
cnf(i_0_263,plain,
( X1 = esk52_4(X1,X2,X3,X4)
| X4 = vabs(esk49_4(X1,X2,X3,X4),esk50_4(X1,X2,X3,X4),esk51_4(X1,X2,X3,X4))
| X2 = esk45_4(X1,X2,X3,X4)
| epred1_4(X4,X3,X2,X1)
| ~ epred2_4(X4,X3,X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_80]),
[final] ).
cnf(i_0_264,plain,
( X1 = esk53_4(X2,X1,X3,X4)
| X3 = vabs(esk49_4(X2,X1,X3,X4),esk50_4(X2,X1,X3,X4),esk51_4(X2,X1,X3,X4))
| X2 = esk44_4(X2,X1,X3,X4)
| epred1_4(X4,X3,X1,X2)
| ~ epred2_4(X4,X3,X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_80]),
[final] ).
cnf(i_0_265,plain,
( X1 = esk53_4(X2,X1,X3,X4)
| X4 = vabs(esk49_4(X2,X1,X3,X4),esk50_4(X2,X1,X3,X4),esk51_4(X2,X1,X3,X4))
| X2 = esk44_4(X2,X1,X3,X4)
| epred1_4(X4,X3,X1,X2)
| ~ epred2_4(X4,X3,X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_80]),
[final] ).
cnf(i_0_266,plain,
( X1 = vabs(esk55_4(X2,X3,X1,X4),esk54_4(X2,X3,X1,X4),esk57_4(X2,X3,X1,X4))
| X2 = esk48_4(X2,X3,X1,X4)
| X2 = esk44_4(X2,X3,X1,X4)
| epred1_4(X4,X1,X3,X2)
| ~ epred2_4(X4,X1,X3,X2) ),
inference(split_conjunct,[status(thm)],[i_0_80]),
[final] ).
cnf(i_0_267,plain,
( X1 = vabs(esk55_4(X2,X3,X1,X4),esk54_4(X2,X3,X1,X4),esk57_4(X2,X3,X1,X4))
| X3 = esk47_4(X2,X3,X1,X4)
| X2 = esk44_4(X2,X3,X1,X4)
| epred1_4(X4,X1,X3,X2)
| ~ epred2_4(X4,X1,X3,X2) ),
inference(split_conjunct,[status(thm)],[i_0_80]),
[final] ).
cnf(i_0_268,plain,
( X1 = vabs(esk55_4(X2,X3,X1,X4),esk54_4(X2,X3,X1,X4),esk57_4(X2,X3,X1,X4))
| X2 = esk48_4(X2,X3,X1,X4)
| X3 = esk45_4(X2,X3,X1,X4)
| epred1_4(X4,X1,X3,X2)
| ~ epred2_4(X4,X1,X3,X2) ),
inference(split_conjunct,[status(thm)],[i_0_80]),
[final] ).
cnf(i_0_269,plain,
( X1 = vabs(esk55_4(X2,X3,X1,X4),esk54_4(X2,X3,X1,X4),esk57_4(X2,X3,X1,X4))
| X3 = esk47_4(X2,X3,X1,X4)
| X3 = esk45_4(X2,X3,X1,X4)
| epred1_4(X4,X1,X3,X2)
| ~ epred2_4(X4,X1,X3,X2) ),
inference(split_conjunct,[status(thm)],[i_0_80]),
[final] ).
cnf(i_0_270,plain,
( X1 = esk48_4(X1,X2,X3,X4)
| X3 = vapp(esk43_4(X1,X2,X3,X4),esk46_4(X1,X2,X3,X4))
| epred1_4(X4,X3,X2,X1)
| esk52_4(X1,X2,X3,X4) != esk55_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 = esk47_4(X1,X2,X3,X4)
| X3 = vapp(esk43_4(X1,X2,X3,X4),esk46_4(X1,X2,X3,X4))
| epred1_4(X4,X3,X2,X1)
| esk52_4(X1,X2,X3,X4) != esk55_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 = esk53_4(X2,X1,X3,X4)
| esk48_4(X2,X1,X3,X4) = esk49_4(X2,X1,X3,X4)
| X3 = vapp(esk43_4(X2,X1,X3,X4),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_273,plain,
( X1 = esk52_4(X1,X2,X3,X4)
| esk48_4(X1,X2,X3,X4) = esk49_4(X1,X2,X3,X4)
| X3 = vapp(esk43_4(X1,X2,X3,X4),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_274,plain,
( visFreeVar(esk55_4(X1,X2,X3,X4),esk53_4(X1,X2,X3,X4))
| esk48_4(X1,X2,X3,X4) = esk49_4(X1,X2,X3,X4)
| X1 = esk44_4(X1,X2,X3,X4)
| epred1_4(X4,X3,X2,X1)
| ~ epred2_4(X4,X3,X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_80]),
[final] ).
cnf(i_0_275,plain,
( visFreeVar(esk55_4(X1,X2,X3,X4),esk53_4(X1,X2,X3,X4))
| esk48_4(X1,X2,X3,X4) = esk49_4(X1,X2,X3,X4)
| X2 = esk45_4(X1,X2,X3,X4)
| epred1_4(X4,X3,X2,X1)
| ~ epred2_4(X4,X3,X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_80]),
[final] ).
cnf(i_0_276,plain,
( esk48_4(X1,X2,X3,X4) = esk49_4(X1,X2,X3,X4)
| X1 = esk44_4(X1,X2,X3,X4)
| epred1_4(X4,X3,X2,X1)
| esk52_4(X1,X2,X3,X4) != esk55_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,
( esk48_4(X1,X2,X3,X4) = esk49_4(X1,X2,X3,X4)
| X2 = esk45_4(X1,X2,X3,X4)
| epred1_4(X4,X3,X2,X1)
| esk52_4(X1,X2,X3,X4) != esk55_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 = esk52_4(X1,X2,X3,X4)
| X1 = esk48_4(X1,X2,X3,X4)
| X3 = vapp(esk43_4(X1,X2,X3,X4),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_279,plain,
( X1 = esk53_4(X2,X1,X3,X4)
| X1 = esk47_4(X2,X1,X3,X4)
| X3 = vapp(esk43_4(X2,X1,X3,X4),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_280,plain,
( X1 = esk53_4(X2,X1,X3,X4)
| X2 = esk48_4(X2,X1,X3,X4)
| X3 = vapp(esk43_4(X2,X1,X3,X4),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_281,plain,
( X1 = esk52_4(X1,X2,X3,X4)
| X2 = esk47_4(X1,X2,X3,X4)
| X3 = vapp(esk43_4(X1,X2,X3,X4),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_282,plain,
( visFreeVar(esk55_4(X1,X2,X3,X4),esk53_4(X1,X2,X3,X4))
| X1 = esk48_4(X1,X2,X3,X4)
| X1 = esk44_4(X1,X2,X3,X4)
| epred1_4(X4,X3,X2,X1)
| ~ epred2_4(X4,X3,X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_80]),
[final] ).
cnf(i_0_283,plain,
( visFreeVar(esk55_4(X1,X2,X3,X4),esk53_4(X1,X2,X3,X4))
| X2 = esk47_4(X1,X2,X3,X4)
| X1 = esk44_4(X1,X2,X3,X4)
| epred1_4(X4,X3,X2,X1)
| ~ epred2_4(X4,X3,X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_80]),
[final] ).
cnf(i_0_284,plain,
( visFreeVar(esk55_4(X1,X2,X3,X4),esk53_4(X1,X2,X3,X4))
| X1 = esk48_4(X1,X2,X3,X4)
| X2 = esk45_4(X1,X2,X3,X4)
| epred1_4(X4,X3,X2,X1)
| ~ epred2_4(X4,X3,X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_80]),
[final] ).
cnf(i_0_285,plain,
( visFreeVar(esk55_4(X1,X2,X3,X4),esk53_4(X1,X2,X3,X4))
| X2 = esk47_4(X1,X2,X3,X4)
| X2 = esk45_4(X1,X2,X3,X4)
| epred1_4(X4,X3,X2,X1)
| ~ epred2_4(X4,X3,X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_80]),
[final] ).
cnf(i_0_286,plain,
( X1 = esk48_4(X1,X2,X3,X4)
| X1 = esk44_4(X1,X2,X3,X4)
| epred1_4(X4,X3,X2,X1)
| esk52_4(X1,X2,X3,X4) != esk55_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 = esk47_4(X1,X2,X3,X4)
| X1 = esk44_4(X1,X2,X3,X4)
| epred1_4(X4,X3,X2,X1)
| esk52_4(X1,X2,X3,X4) != esk55_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 = esk48_4(X1,X2,X3,X4)
| X2 = esk45_4(X1,X2,X3,X4)
| epred1_4(X4,X3,X2,X1)
| esk52_4(X1,X2,X3,X4) != esk55_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 = esk47_4(X1,X2,X3,X4)
| X2 = esk45_4(X1,X2,X3,X4)
| epred1_4(X4,X3,X2,X1)
| esk52_4(X1,X2,X3,X4) != esk55_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(esk38_4(X1,X2,X3,X4))
| esk41_4(X1,X2,X3,X4) != esk42_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,
( esk37_4(X1,X2,X3,X4) = esk38_4(X1,X2,X3,X4)
| esk41_4(X1,X2,X3,X4) != esk42_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 = esk53_4(X2,X1,X3,X4)
| esk48_4(X2,X1,X3,X4) = esk49_4(X2,X1,X3,X4)
| X1 = esk45_4(X2,X1,X3,X4)
| epred1_4(X4,X3,X1,X2)
| ~ epred2_4(X4,X3,X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_80]),
[final] ).
cnf(i_0_295,plain,
( X1 = esk52_4(X1,X2,X3,X4)
| esk48_4(X1,X2,X3,X4) = esk49_4(X1,X2,X3,X4)
| X1 = esk44_4(X1,X2,X3,X4)
| epred1_4(X4,X3,X2,X1)
| ~ epred2_4(X4,X3,X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_80]),
[final] ).
cnf(i_0_296,plain,
( X1 = esk52_4(X1,X2,X3,X4)
| esk48_4(X1,X2,X3,X4) = esk49_4(X1,X2,X3,X4)
| X2 = esk45_4(X1,X2,X3,X4)
| epred1_4(X4,X3,X2,X1)
| ~ epred2_4(X4,X3,X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_80]),
[final] ).
cnf(i_0_297,plain,
( X1 = esk53_4(X2,X1,X3,X4)
| esk48_4(X2,X1,X3,X4) = esk49_4(X2,X1,X3,X4)
| X2 = esk44_4(X2,X1,X3,X4)
| epred1_4(X4,X3,X1,X2)
| ~ epred2_4(X4,X3,X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_80]),
[final] ).
cnf(i_0_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 = esk37_4(X1,X2,X3,X4)
| esk41_4(X1,X2,X3,X4) != esk42_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 = esk39_4(X1,X2,X3,X4)
| esk41_4(X1,X2,X3,X4) != esk42_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 = esk39_4(X1,X2,X3,X4)
| esk41_4(X1,X2,X3,X4) != esk42_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(esk42_4(X2,X3,X1,X4))
| X1 = vvar(esk38_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(esk42_4(X2,X3,X4,X1))
| X4 = vvar(esk38_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 = esk53_4(X2,X1,X3,X4)
| X1 = esk47_4(X2,X1,X3,X4)
| X1 = esk45_4(X2,X1,X3,X4)
| epred1_4(X4,X3,X1,X2)
| ~ epred2_4(X4,X3,X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_80]),
[final] ).
cnf(i_0_307,plain,
( X1 = esk52_4(X1,X2,X3,X4)
| X1 = esk48_4(X1,X2,X3,X4)
| X1 = esk44_4(X1,X2,X3,X4)
| epred1_4(X4,X3,X2,X1)
| ~ epred2_4(X4,X3,X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_80]),
[final] ).
cnf(i_0_308,plain,
( X1 = esk53_4(X2,X1,X3,X4)
| X2 = esk48_4(X2,X1,X3,X4)
| X1 = esk45_4(X2,X1,X3,X4)
| epred1_4(X4,X3,X1,X2)
| ~ epred2_4(X4,X3,X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_80]),
[final] ).
cnf(i_0_309,plain,
( X1 = esk52_4(X1,X2,X3,X4)
| X2 = esk47_4(X1,X2,X3,X4)
| X1 = esk44_4(X1,X2,X3,X4)
| epred1_4(X4,X3,X2,X1)
| ~ epred2_4(X4,X3,X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_80]),
[final] ).
cnf(i_0_310,plain,
( X1 = esk52_4(X1,X2,X3,X4)
| X1 = esk48_4(X1,X2,X3,X4)
| X2 = esk45_4(X1,X2,X3,X4)
| epred1_4(X4,X3,X2,X1)
| ~ epred2_4(X4,X3,X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_80]),
[final] ).
cnf(i_0_311,plain,
( X1 = esk52_4(X1,X2,X3,X4)
| X2 = esk47_4(X1,X2,X3,X4)
| X2 = esk45_4(X1,X2,X3,X4)
| epred1_4(X4,X3,X2,X1)
| ~ epred2_4(X4,X3,X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_80]),
[final] ).
cnf(i_0_312,plain,
( X1 = esk53_4(X2,X1,X3,X4)
| X1 = esk47_4(X2,X1,X3,X4)
| X2 = esk44_4(X2,X1,X3,X4)
| epred1_4(X4,X3,X1,X2)
| ~ epred2_4(X4,X3,X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_80]),
[final] ).
cnf(i_0_313,plain,
( X1 = esk53_4(X2,X1,X3,X4)
| X2 = esk48_4(X2,X1,X3,X4)
| X2 = esk44_4(X2,X1,X3,X4)
| epred1_4(X4,X3,X1,X2)
| ~ epred2_4(X4,X3,X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_80]),
[final] ).
cnf(i_0_314,plain,
( X1 = vvar(esk42_4(X2,X3,X1,X4))
| esk37_4(X2,X3,X1,X4) = esk38_4(X2,X3,X1,X4)
| ~ epred1_4(X4,X1,X3,X2) ),
inference(split_conjunct,[status(thm)],[i_0_83]),
[final] ).
cnf(i_0_315,plain,
( X1 = vvar(esk42_4(X2,X3,X4,X1))
| esk37_4(X2,X3,X4,X1) = esk38_4(X2,X3,X4,X1)
| ~ epred1_4(X1,X4,X3,X2) ),
inference(split_conjunct,[status(thm)],[i_0_83]),
[final] ).
cnf(i_0_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(esk69_2(X1,X2),esk67_2(X1,X2),esk71_2(X1,X2)),esk70_2(X1,X2))
| X2 = vsomeExp(vapp(vabs(esk63_2(X1,X2),esk64_2(X1,X2),esk65_2(X1,X2)),vgetSomeExp(esk66_2(X1,X2))))
| X1 = vabs(esk59_2(X1,X2),esk60_2(X1,X2),esk61_2(X1,X2))
| X1 = vvar(esk58_2(X1,X2))
| ~ epred3_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_66]),
[final] ).
cnf(i_0_321,plain,
( X1 = esk41_4(X1,X2,X3,X4)
| X3 = vvar(esk38_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 = esk40_4(X2,X1,X3,X4)
| X3 = vvar(esk38_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(esk42_4(X2,X3,X4,X1))
| X1 = esk39_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(esk42_4(X2,X3,X1,X4))
| X2 = esk37_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(esk42_4(X2,X3,X4,X1))
| X2 = esk37_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(esk42_4(X2,X3,X1,X4))
| X3 = esk39_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(esk42_4(X2,X3,X4,X1))
| X3 = esk39_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(esk42_4(X2,X3,X1,X4))
| X4 = esk39_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(esk69_2(X1,X2),esk67_2(X1,X2),esk71_2(X1,X2)),esk70_2(X1,X2))
| X2 = vsomeExp(vapp(vabs(esk63_2(X1,X2),esk64_2(X1,X2),esk65_2(X1,X2)),vgetSomeExp(esk66_2(X1,X2))))
| X1 = vabs(esk59_2(X1,X2),esk60_2(X1,X2),esk61_2(X1,X2))
| X2 = vnoExp
| ~ epred3_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_66]),
[final] ).
cnf(i_0_330,plain,
( X1 = esk41_4(X1,X2,X3,X4)
| esk37_4(X1,X2,X3,X4) = esk38_4(X1,X2,X3,X4)
| ~ epred1_4(X4,X3,X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_83]),
[final] ).
cnf(i_0_331,plain,
( X1 = esk40_4(X2,X1,X3,X4)
| esk37_4(X2,X1,X3,X4) = esk38_4(X2,X1,X3,X4)
| ~ epred1_4(X4,X3,X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_83]),
[final] ).
cnf(i_0_332,plain,
( X1 = vsomeExp(vsubst(esk69_2(X2,X1),esk70_2(X2,X1),esk71_2(X2,X1)))
| X1 = vsomeExp(vapp(vabs(esk63_2(X2,X1),esk64_2(X2,X1),esk65_2(X2,X1)),vgetSomeExp(esk66_2(X2,X1))))
| X2 = vabs(esk59_2(X2,X1),esk60_2(X2,X1),esk61_2(X2,X1))
| X2 = vvar(esk58_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(esk69_2(X2,X1),esk70_2(X2,X1),esk71_2(X2,X1)))
| X1 = vsomeExp(vapp(vabs(esk63_2(X2,X1),esk64_2(X2,X1),esk65_2(X2,X1)),vgetSomeExp(esk66_2(X2,X1))))
| X2 = vabs(esk59_2(X2,X1),esk60_2(X2,X1),esk61_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(esk69_2(X1,X2),esk67_2(X1,X2),esk71_2(X1,X2)),esk70_2(X1,X2))
| X2 = vsomeExp(vapp(vabs(esk63_2(X1,X2),esk64_2(X1,X2),esk65_2(X1,X2)),vgetSomeExp(esk66_2(X1,X2))))
| X2 = vnoExp
| X1 = vvar(esk58_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(esk69_2(X1,X2),esk67_2(X1,X2),esk71_2(X1,X2)),esk70_2(X1,X2))
| X2 = vsomeExp(vapp(vabs(esk63_2(X1,X2),esk64_2(X1,X2),esk65_2(X1,X2)),vgetSomeExp(esk66_2(X1,X2))))
| ~ epred3_2(X2,X1) ),
inference(cn,[status(thm)],[i_0_86]),
[final] ).
cnf(i_0_337,plain,
( X1 = vsomeExp(vsubst(esk69_2(X2,X1),esk70_2(X2,X1),esk71_2(X2,X1)))
| X1 = vsomeExp(vapp(vabs(esk63_2(X2,X1),esk64_2(X2,X1),esk65_2(X2,X1)),vgetSomeExp(esk66_2(X2,X1))))
| X1 = vnoExp
| X2 = vvar(esk58_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(esk69_2(X2,X1),esk70_2(X2,X1),esk71_2(X2,X1)))
| X1 = vsomeExp(vapp(vabs(esk63_2(X2,X1),esk64_2(X2,X1),esk65_2(X2,X1)),vgetSomeExp(esk66_2(X2,X1))))
| ~ epred3_2(X1,X2) ),
inference(cn,[status(thm)],[i_0_88]),
[final] ).
cnf(i_0_342,plain,
( X2 = vsomeExp(vapp(vabs(esk63_2(X1,X2),esk64_2(X1,X2),esk65_2(X1,X2)),vgetSomeExp(esk66_2(X1,X2))))
| X1 = vabs(esk59_2(X1,X2),esk60_2(X1,X2),esk61_2(X1,X2))
| X1 = vvar(esk58_2(X1,X2))
| ~ visSomeExp(esk68_2(X1,X2))
| ~ epred3_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_66]),
[final] ).
cnf(i_0_343,plain,
( esk68_2(X1,X2) = vreduce(esk70_2(X1,X2))
| X2 = vsomeExp(vapp(vabs(esk63_2(X1,X2),esk64_2(X1,X2),esk65_2(X1,X2)),vgetSomeExp(esk66_2(X1,X2))))
| X1 = vabs(esk59_2(X1,X2),esk60_2(X1,X2),esk61_2(X1,X2))
| X1 = vvar(esk58_2(X1,X2))
| ~ epred3_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_66]),
[final] ).
cnf(i_0_344,plain,
( visValue(esk70_2(X1,X2))
| X2 = vsomeExp(vapp(vabs(esk63_2(X1,X2),esk64_2(X1,X2),esk65_2(X1,X2)),vgetSomeExp(esk66_2(X1,X2))))
| X1 = vabs(esk59_2(X1,X2),esk60_2(X1,X2),esk61_2(X1,X2))
| X1 = vvar(esk58_2(X1,X2))
| ~ epred3_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_66]),
[final] ).
cnf(i_0_345,plain,
( X1 = esk40_4(X2,X1,X3,X4)
| X1 = esk39_4(X2,X1,X3,X4)
| ~ epred1_4(X4,X3,X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_83]),
[final] ).
cnf(i_0_346,plain,
( X1 = esk41_4(X1,X2,X3,X4)
| X1 = esk37_4(X1,X2,X3,X4)
| ~ epred1_4(X4,X3,X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_83]),
[final] ).
cnf(i_0_347,plain,
( X1 = esk41_4(X1,X2,X3,X4)
| X2 = 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 = esk40_4(X2,X1,X3,X4)
| X2 = esk37_4(X2,X1,X3,X4)
| ~ epred1_4(X4,X3,X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_83]),
[final] ).
cnf(i_0_349,plain,
( X1 = esk41_4(X1,X2,X3,X4)
| X4 = esk39_4(X1,X2,X3,X4)
| ~ epred1_4(X4,X3,X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_83]),
[final] ).
cnf(i_0_350,plain,
( X1 = esk40_4(X2,X1,X3,X4)
| X4 = esk39_4(X2,X1,X3,X4)
| ~ epred1_4(X4,X3,X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_83]),
[final] ).
cnf(i_0_351,plain,
( X2 = vsomeExp(vapp(vabs(esk63_2(X1,X2),esk64_2(X1,X2),esk65_2(X1,X2)),vgetSomeExp(esk66_2(X1,X2))))
| X1 = vabs(esk59_2(X1,X2),esk60_2(X1,X2),esk61_2(X1,X2))
| X2 = vnoExp
| ~ visSomeExp(esk68_2(X1,X2))
| ~ epred3_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_66]),
[final] ).
cnf(i_0_352,plain,
( esk68_2(X1,X2) = vreduce(esk70_2(X1,X2))
| X2 = vsomeExp(vapp(vabs(esk63_2(X1,X2),esk64_2(X1,X2),esk65_2(X1,X2)),vgetSomeExp(esk66_2(X1,X2))))
| X1 = vabs(esk59_2(X1,X2),esk60_2(X1,X2),esk61_2(X1,X2))
| X2 = vnoExp
| ~ epred3_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_66]),
[final] ).
cnf(i_0_353,plain,
( visValue(esk70_2(X1,X2))
| X2 = vsomeExp(vapp(vabs(esk63_2(X1,X2),esk64_2(X1,X2),esk65_2(X1,X2)),vgetSomeExp(esk66_2(X1,X2))))
| X1 = vabs(esk59_2(X1,X2),esk60_2(X1,X2),esk61_2(X1,X2))
| X2 = vnoExp
| ~ epred3_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_66]),
[final] ).
cnf(i_0_354,plain,
( vtcheck(X1,esk30_3(X2,X3,X1),esk31_3(X2,X3,X1))
| X2 = vabs(esk25_3(X2,X3,X1),esk27_3(X2,X3,X1),esk26_3(X2,X3,X1))
| 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_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))
| X2 = vvar(esk24_3(X2,X3,X1))
| ~ vtcheck(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[i_0_85]),
[final] ).
cnf(i_0_356,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_357,plain,
( X1 = vbind(esk7_3(X2,X1,X3),esk6_3(X2,X1,X3),esk9_3(X2,X1,X3))
| X1 = vbind(esk4_3(X2,X1,X3),esk5_3(X2,X1,X3),esk2_3(X2,X1,X3))
| X2 = esk1_3(X2,X1,X3)
| vlookup(X2,X1) != X3 ),
inference(split_conjunct,[status(thm)],[i_0_89]),
[final] ).
cnf(i_0_358,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_359,plain,
( X1 = vapp(esk29_3(X1,X2,X3),esk30_3(X1,X2,X3))
| X1 = vabs(esk25_3(X1,X2,X3),esk27_3(X1,X2,X3),esk26_3(X1,X2,X3))
| 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_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))
| X1 = vvar(esk24_3(X1,X2,X3))
| ~ vtcheck(X3,X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_85]),
[final] ).
cnf(i_0_361,plain,
( X1 = vapp(vabs(esk69_2(X1,X2),esk67_2(X1,X2),esk71_2(X1,X2)),esk70_2(X1,X2))
| X1 = vapp(vabs(esk63_2(X1,X2),esk64_2(X1,X2),esk65_2(X1,X2)),esk62_2(X1,X2))
| X1 = vabs(esk59_2(X1,X2),esk60_2(X1,X2),esk61_2(X1,X2))
| X1 = vvar(esk58_2(X1,X2))
| ~ epred3_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_66]),
[final] ).
cnf(i_0_362,plain,
( X1 = vbind(esk7_3(X2,X1,X3),esk6_3(X2,X1,X3),esk9_3(X2,X1,X3))
| X1 = vbind(esk4_3(X2,X1,X3),esk5_3(X2,X1,X3),esk2_3(X2,X1,X3))
| X1 = vempty
| vlookup(X2,X1) != X3 ),
inference(split_conjunct,[status(thm)],[i_0_89]),
[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))
| X3 = vnoType
| vlookup(X2,X1) != X3 ),
inference(split_conjunct,[status(thm)],[i_0_89]),
[final] ).
cnf(i_0_364,plain,
( X2 = vsomeExp(vapp(vabs(esk63_2(X1,X2),esk64_2(X1,X2),esk65_2(X1,X2)),vgetSomeExp(esk66_2(X1,X2))))
| X2 = vnoExp
| X1 = vvar(esk58_2(X1,X2))
| ~ visSomeExp(esk68_2(X1,X2))
| ~ epred3_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_66]),
[final] ).
cnf(i_0_365,plain,
( esk68_2(X1,X2) = vreduce(esk70_2(X1,X2))
| X2 = vsomeExp(vapp(vabs(esk63_2(X1,X2),esk64_2(X1,X2),esk65_2(X1,X2)),vgetSomeExp(esk66_2(X1,X2))))
| X2 = vnoExp
| X1 = vvar(esk58_2(X1,X2))
| ~ epred3_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_66]),
[final] ).
cnf(i_0_366,plain,
( X1 = vapp(vabs(esk69_2(X1,X2),esk67_2(X1,X2),esk71_2(X1,X2)),esk70_2(X1,X2))
| X1 = vapp(vabs(esk63_2(X1,X2),esk64_2(X1,X2),esk65_2(X1,X2)),esk62_2(X1,X2))
| X1 = vabs(esk59_2(X1,X2),esk60_2(X1,X2),esk61_2(X1,X2))
| X2 = vnoExp
| ~ epred3_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_66]),
[final] ).
cnf(i_0_367,plain,
( X1 = vsomeExp(vsubst(esk69_2(X2,X1),esk70_2(X2,X1),esk71_2(X2,X1)))
| X2 = vapp(vabs(esk63_2(X2,X1),esk64_2(X2,X1),esk65_2(X2,X1)),esk62_2(X2,X1))
| X2 = vabs(esk59_2(X2,X1),esk60_2(X2,X1),esk61_2(X2,X1))
| X2 = vvar(esk58_2(X2,X1))
| ~ epred3_2(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_66]),
[final] ).
cnf(i_0_368,plain,
( visValue(esk70_2(X1,X2))
| X2 = vsomeExp(vapp(vabs(esk63_2(X1,X2),esk64_2(X1,X2),esk65_2(X1,X2)),vgetSomeExp(esk66_2(X1,X2))))
| X2 = vnoExp
| X1 = vvar(esk58_2(X1,X2))
| ~ epred3_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_66]),
[final] ).
cnf(i_0_369,plain,
( X2 = X6
| X10 = vsubst(X2,X4,vabs(X9,X7,vsubst(X6,vvar(X9),X8)))
| X1 != X2
| X3 != X4
| X5 != vabs(X6,X7,X8)
| ~ visFreeVar(X6,X4)
| X9 != vgensym(vapp(vapp(X4,X8),vvar(X2)))
| X10 != vsubst(X1,X3,X5) ),
inference(split_conjunct,[status(thm)],[i_0_90]),
[final] ).
cnf(i_0_370,plain,
( vtcheck(vbind(X1,X3,X5),X6,X7)
| X1 != X2
| ~ vtcheck(vbind(X1,X3,vbind(X2,X4,X5)),X6,X7) ),
inference(split_conjunct,[status(thm)],[i_0_91]),
[final] ).
cnf(i_0_371,plain,
( X2 = vnoExp
| X2 = vsomeExp(vapp(vabs(esk63_2(X1,X2),esk64_2(X1,X2),esk65_2(X1,X2)),vgetSomeExp(esk66_2(X1,X2))))
| ~ epred3_2(X2,X1)
| ~ visSomeExp(esk68_2(X1,X2)) ),
inference(cn,[status(thm)],[i_0_92]),
[final] ).
cnf(i_0_372,plain,
( X2 = vnoExp
| esk68_2(X1,X2) = vreduce(esk70_2(X1,X2))
| X2 = vsomeExp(vapp(vabs(esk63_2(X1,X2),esk64_2(X1,X2),esk65_2(X1,X2)),vgetSomeExp(esk66_2(X1,X2))))
| ~ epred3_2(X2,X1) ),
inference(cn,[status(thm)],[i_0_93]),
[final] ).
cnf(i_0_373,plain,
( X1 = vsomeExp(vsubst(esk69_2(X2,X1),esk70_2(X2,X1),esk71_2(X2,X1)))
| X2 = vapp(vabs(esk63_2(X2,X1),esk64_2(X2,X1),esk65_2(X2,X1)),esk62_2(X2,X1))
| X2 = vabs(esk59_2(X2,X1),esk60_2(X2,X1),esk61_2(X2,X1))
| X1 = vnoExp
| ~ epred3_2(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_66]),
[final] ).
cnf(i_0_374,plain,
( X2 = vnoExp
| X2 = vsomeExp(vapp(vabs(esk63_2(X1,X2),esk64_2(X1,X2),esk65_2(X1,X2)),vgetSomeExp(esk66_2(X1,X2))))
| visValue(esk70_2(X1,X2))
| ~ epred3_2(X2,X1) ),
inference(cn,[status(thm)],[i_0_94]),
[final] ).
cnf(i_0_375,plain,
( vtcheck(X1,esk30_3(X2,X3,X1),esk31_3(X2,X3,X1))
| X3 = varrow(esk27_3(X2,X3,X1),esk28_3(X2,X3,X1))
| 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_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))
| X2 = vvar(esk24_3(X2,X3,X1))
| ~ vtcheck(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[i_0_85]),
[final] ).
cnf(i_0_377,plain,
( X1 = vlookup(esk8_3(X2,X3,X1),esk9_3(X2,X3,X1))
| X3 = vbind(esk4_3(X2,X3,X1),esk5_3(X2,X3,X1),esk2_3(X2,X3,X1))
| X2 = esk1_3(X2,X3,X1)
| vlookup(X2,X3) != X1 ),
inference(split_conjunct,[status(thm)],[i_0_89]),
[final] ).
cnf(i_0_378,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_379,plain,
( X1 = vapp(vabs(esk69_2(X1,X2),esk67_2(X1,X2),esk71_2(X1,X2)),esk70_2(X1,X2))
| X1 = vapp(vabs(esk63_2(X1,X2),esk64_2(X1,X2),esk65_2(X1,X2)),esk62_2(X1,X2))
| X2 = vnoExp
| X1 = vvar(esk58_2(X1,X2))
| ~ epred3_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_66]),
[final] ).
cnf(i_0_380,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_381,plain,
( X2 = vnoExp
| X1 = vapp(vabs(esk63_2(X1,X2),esk64_2(X1,X2),esk65_2(X1,X2)),esk62_2(X1,X2))
| X1 = vapp(vabs(esk69_2(X1,X2),esk67_2(X1,X2),esk71_2(X1,X2)),esk70_2(X1,X2))
| ~ epred3_2(X2,X1) ),
inference(cn,[status(thm)],[i_0_95]),
[final] ).
cnf(i_0_382,plain,
( X1 = vlookup(esk8_3(X2,X3,X1),esk9_3(X2,X3,X1))
| X3 = vbind(esk4_3(X2,X3,X1),esk5_3(X2,X3,X1),esk2_3(X2,X3,X1))
| X1 = vnoType
| vlookup(X2,X3) != X1 ),
inference(split_conjunct,[status(thm)],[i_0_89]),
[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))
| X3 = vempty
| vlookup(X2,X3) != X1 ),
inference(split_conjunct,[status(thm)],[i_0_89]),
[final] ).
cnf(i_0_384,plain,
( X2 = vbind(esk4_3(X1,X2,X3),esk5_3(X1,X2,X3),esk2_3(X1,X2,X3))
| X1 = esk1_3(X1,X2,X3)
| esk8_3(X1,X2,X3) != esk7_3(X1,X2,X3)
| vlookup(X1,X2) != X3 ),
inference(split_conjunct,[status(thm)],[i_0_89]),
[final] ).
cnf(i_0_385,plain,
( X1 = vsomeExp(vsubst(esk69_2(X2,X1),esk70_2(X2,X1),esk71_2(X2,X1)))
| X2 = vapp(vabs(esk63_2(X2,X1),esk64_2(X2,X1),esk65_2(X2,X1)),esk62_2(X2,X1))
| X1 = vnoExp
| X2 = vvar(esk58_2(X2,X1))
| ~ epred3_2(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_66]),
[final] ).
cnf(i_0_386,plain,
( X1 = vnoExp
| X1 = vsomeExp(vsubst(esk69_2(X2,X1),esk70_2(X2,X1),esk71_2(X2,X1)))
| X2 = vapp(vabs(esk63_2(X2,X1),esk64_2(X2,X1),esk65_2(X2,X1)),esk62_2(X2,X1))
| ~ epred3_2(X1,X2) ),
inference(cn,[status(thm)],[i_0_96]),
[final] ).
cnf(i_0_387,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_388,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_389,plain,
( X2 = vbind(esk4_3(X1,X2,X3),esk5_3(X1,X2,X3),esk2_3(X1,X2,X3))
| X2 = vempty
| esk8_3(X1,X2,X3) != esk7_3(X1,X2,X3)
| vlookup(X1,X2) != X3 ),
inference(split_conjunct,[status(thm)],[i_0_89]),
[final] ).
cnf(i_0_390,plain,
( X2 = vbind(esk4_3(X1,X2,X3),esk5_3(X1,X2,X3),esk2_3(X1,X2,X3))
| X3 = vnoType
| esk8_3(X1,X2,X3) != esk7_3(X1,X2,X3)
| vlookup(X1,X2) != X3 ),
inference(split_conjunct,[status(thm)],[i_0_89]),
[final] ).
cnf(i_0_391,plain,
( X1 = vbind(esk7_3(X2,X1,X3),esk6_3(X2,X1,X3),esk9_3(X2,X1,X3))
| X3 = vsomeType(esk5_3(X2,X1,X3))
| X2 = esk1_3(X2,X1,X3)
| vlookup(X2,X1) != X3 ),
inference(split_conjunct,[status(thm)],[i_0_89]),
[final] ).
cnf(i_0_392,plain,
( X1 = vbind(esk7_3(X2,X1,X3),esk6_3(X2,X1,X3),esk9_3(X2,X1,X3))
| esk3_3(X2,X1,X3) = esk4_3(X2,X1,X3)
| X2 = esk1_3(X2,X1,X3)
| vlookup(X2,X1) != X3 ),
inference(split_conjunct,[status(thm)],[i_0_89]),
[final] ).
cnf(i_0_393,plain,
( X1 = vsomeExp(vapp(vgetSomeExp(esk78_2(X2,X1)),esk79_2(X2,X1)))
| X2 = vapp(vabs(esk72_2(X2,X1),esk73_2(X2,X1),esk74_2(X2,X1)),esk76_2(X2,X1))
| epred3_2(X1,X2)
| ~ epred4_2(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_97]),
[final] ).
cnf(i_0_394,plain,
( X1 = vapp(vabs(esk63_2(X1,X2),esk64_2(X1,X2),esk65_2(X1,X2)),esk62_2(X1,X2))
| X1 = vabs(esk59_2(X1,X2),esk60_2(X1,X2),esk61_2(X1,X2))
| X1 = vvar(esk58_2(X1,X2))
| ~ visSomeExp(esk68_2(X1,X2))
| ~ epred3_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_66]),
[final] ).
cnf(i_0_395,plain,
( esk68_2(X1,X2) = vreduce(esk70_2(X1,X2))
| X1 = vapp(vabs(esk63_2(X1,X2),esk64_2(X1,X2),esk65_2(X1,X2)),esk62_2(X1,X2))
| X1 = vabs(esk59_2(X1,X2),esk60_2(X1,X2),esk61_2(X1,X2))
| X1 = vvar(esk58_2(X1,X2))
| ~ epred3_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_66]),
[final] ).
cnf(i_0_396,plain,
( X1 = vapp(vabs(esk69_2(X1,X2),esk67_2(X1,X2),esk71_2(X1,X2)),esk70_2(X1,X2))
| esk66_2(X1,X2) = vreduce(esk62_2(X1,X2))
| X1 = vabs(esk59_2(X1,X2),esk60_2(X1,X2),esk61_2(X1,X2))
| X1 = vvar(esk58_2(X1,X2))
| ~ epred3_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_66]),
[final] ).
cnf(i_0_397,plain,
( X1 = vapp(vabs(esk69_2(X1,X2),esk67_2(X1,X2),esk71_2(X1,X2)),esk70_2(X1,X2))
| visSomeExp(esk66_2(X1,X2))
| X1 = vabs(esk59_2(X1,X2),esk60_2(X1,X2),esk61_2(X1,X2))
| X1 = vvar(esk58_2(X1,X2))
| ~ epred3_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_66]),
[final] ).
cnf(i_0_398,plain,
( visValue(esk70_2(X1,X2))
| X1 = vapp(vabs(esk63_2(X1,X2),esk64_2(X1,X2),esk65_2(X1,X2)),esk62_2(X1,X2))
| X1 = vabs(esk59_2(X1,X2),esk60_2(X1,X2),esk61_2(X1,X2))
| X1 = vvar(esk58_2(X1,X2))
| ~ epred3_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_66]),
[final] ).
cnf(i_0_399,plain,
( X1 = vbind(esk7_3(X2,X1,X3),esk6_3(X2,X1,X3),esk9_3(X2,X1,X3))
| X3 = vsomeType(esk5_3(X2,X1,X3))
| X1 = vempty
| vlookup(X2,X1) != X3 ),
inference(split_conjunct,[status(thm)],[i_0_89]),
[final] ).
cnf(i_0_400,plain,
( X1 = vbind(esk7_3(X2,X1,X3),esk6_3(X2,X1,X3),esk9_3(X2,X1,X3))
| X3 = vsomeType(esk5_3(X2,X1,X3))
| X3 = vnoType
| vlookup(X2,X1) != X3 ),
inference(split_conjunct,[status(thm)],[i_0_89]),
[final] ).
cnf(i_0_401,plain,
( X1 = esk8_3(X1,X2,X3)
| X2 = vbind(esk4_3(X1,X2,X3),esk5_3(X1,X2,X3),esk2_3(X1,X2,X3))
| X1 = esk1_3(X1,X2,X3)
| vlookup(X1,X2) != X3 ),
inference(split_conjunct,[status(thm)],[i_0_89]),
[final] ).
cnf(i_0_402,plain,
( X1 = vbind(esk7_3(X2,X1,X3),esk6_3(X2,X1,X3),esk9_3(X2,X1,X3))
| X2 = esk3_3(X2,X1,X3)
| X2 = esk1_3(X2,X1,X3)
| vlookup(X2,X1) != X3 ),
inference(split_conjunct,[status(thm)],[i_0_89]),
[final] ).
cnf(i_0_403,plain,
( X1 = vbind(esk7_3(X2,X1,X3),esk6_3(X2,X1,X3),esk9_3(X2,X1,X3))
| esk3_3(X2,X1,X3) = esk4_3(X2,X1,X3)
| X1 = vempty
| vlookup(X2,X1) != X3 ),
inference(split_conjunct,[status(thm)],[i_0_89]),
[final] ).
cnf(i_0_404,plain,
( X1 = vbind(esk7_3(X2,X1,X3),esk6_3(X2,X1,X3),esk9_3(X2,X1,X3))
| esk3_3(X2,X1,X3) = esk4_3(X2,X1,X3)
| X3 = vnoType
| vlookup(X2,X1) != X3 ),
inference(split_conjunct,[status(thm)],[i_0_89]),
[final] ).
cnf(i_0_405,plain,
( X1 = vapp(vabs(esk63_2(X1,X2),esk64_2(X1,X2),esk65_2(X1,X2)),esk62_2(X1,X2))
| X1 = vabs(esk59_2(X1,X2),esk60_2(X1,X2),esk61_2(X1,X2))
| X2 = vnoExp
| ~ visSomeExp(esk68_2(X1,X2))
| ~ epred3_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_66]),
[final] ).
cnf(i_0_406,plain,
( esk68_2(X1,X2) = vreduce(esk70_2(X1,X2))
| X1 = vapp(vabs(esk63_2(X1,X2),esk64_2(X1,X2),esk65_2(X1,X2)),esk62_2(X1,X2))
| X1 = vabs(esk59_2(X1,X2),esk60_2(X1,X2),esk61_2(X1,X2))
| X2 = vnoExp
| ~ epred3_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_66]),
[final] ).
cnf(i_0_407,plain,
( X1 = vapp(vabs(esk69_2(X1,X2),esk67_2(X1,X2),esk71_2(X1,X2)),esk70_2(X1,X2))
| esk66_2(X1,X2) = vreduce(esk62_2(X1,X2))
| X1 = vabs(esk59_2(X1,X2),esk60_2(X1,X2),esk61_2(X1,X2))
| X2 = vnoExp
| ~ epred3_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_66]),
[final] ).
cnf(i_0_408,plain,
( X1 = vsomeExp(vsubst(esk69_2(X2,X1),esk70_2(X2,X1),esk71_2(X2,X1)))
| esk66_2(X2,X1) = vreduce(esk62_2(X2,X1))
| X2 = vabs(esk59_2(X2,X1),esk60_2(X2,X1),esk61_2(X2,X1))
| X2 = vvar(esk58_2(X2,X1))
| ~ epred3_2(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_66]),
[final] ).
cnf(i_0_409,plain,
( vtcheck(X1,vsubst(X4,X2,ve2),X5)
| ~ vtcheck(X1,X2,X3)
| ~ vtcheck(vbind(X4,X3,X1),ve2,X5) ),
inference(split_conjunct,[status(thm)],[i_0_98]),
[final] ).
cnf(i_0_410,plain,
( vtcheck(X1,vsubst(X4,X2,ve1),X5)
| ~ vtcheck(X1,X2,X3)
| ~ vtcheck(vbind(X4,X3,X1),ve1,X5) ),
inference(split_conjunct,[status(thm)],[i_0_99]),
[final] ).
cnf(i_0_411,plain,
( X1 = vapp(vabs(esk69_2(X1,X2),esk67_2(X1,X2),esk71_2(X1,X2)),esk70_2(X1,X2))
| visSomeExp(esk66_2(X1,X2))
| X1 = vabs(esk59_2(X1,X2),esk60_2(X1,X2),esk61_2(X1,X2))
| X2 = vnoExp
| ~ epred3_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_66]),
[final] ).
cnf(i_0_412,plain,
( visValue(esk70_2(X1,X2))
| X1 = vapp(vabs(esk63_2(X1,X2),esk64_2(X1,X2),esk65_2(X1,X2)),esk62_2(X1,X2))
| X1 = vabs(esk59_2(X1,X2),esk60_2(X1,X2),esk61_2(X1,X2))
| X2 = vnoExp
| ~ epred3_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_66]),
[final] ).
cnf(i_0_413,plain,
( X1 = vsomeExp(vsubst(esk69_2(X2,X1),esk70_2(X2,X1),esk71_2(X2,X1)))
| visSomeExp(esk66_2(X2,X1))
| X2 = vabs(esk59_2(X2,X1),esk60_2(X2,X1),esk61_2(X2,X1))
| X2 = vvar(esk58_2(X2,X1))
| ~ epred3_2(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_66]),
[final] ).
cnf(i_0_414,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_100]),
[final] ).
cnf(i_0_415,plain,
( X1 = vsomeExp(vsubst(esk69_2(X2,X1),esk70_2(X2,X1),esk71_2(X2,X1)))
| esk66_2(X2,X1) = vreduce(esk62_2(X2,X1))
| X2 = vabs(esk59_2(X2,X1),esk60_2(X2,X1),esk61_2(X2,X1))
| X1 = vnoExp
| ~ epred3_2(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_66]),
[final] ).
cnf(i_0_416,plain,
( X1 = vbind(esk7_3(X2,X1,X3),esk6_3(X2,X1,X3),esk9_3(X2,X1,X3))
| X2 = esk3_3(X2,X1,X3)
| X1 = vempty
| vlookup(X2,X1) != X3 ),
inference(split_conjunct,[status(thm)],[i_0_89]),
[final] ).
cnf(i_0_417,plain,
( X1 = esk8_3(X1,X2,X3)
| X2 = vbind(esk4_3(X1,X2,X3),esk5_3(X1,X2,X3),esk2_3(X1,X2,X3))
| X2 = vempty
| vlookup(X1,X2) != X3 ),
inference(split_conjunct,[status(thm)],[i_0_89]),
[final] ).
cnf(i_0_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))
| X3 = vnoType
| vlookup(X1,X2) != X3 ),
inference(split_conjunct,[status(thm)],[i_0_89]),
[final] ).
cnf(i_0_419,plain,
( X1 = vbind(esk7_3(X2,X1,X3),esk6_3(X2,X1,X3),esk9_3(X2,X1,X3))
| X2 = esk3_3(X2,X1,X3)
| X3 = vnoType
| vlookup(X2,X1) != X3 ),
inference(split_conjunct,[status(thm)],[i_0_89]),
[final] ).
cnf(i_0_420,plain,
( X1 = vsomeExp(vsubst(esk69_2(X2,X1),esk70_2(X2,X1),esk71_2(X2,X1)))
| visSomeExp(esk66_2(X2,X1))
| X2 = vabs(esk59_2(X2,X1),esk60_2(X2,X1),esk61_2(X2,X1))
| X1 = vnoExp
| ~ epred3_2(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_66]),
[final] ).
cnf(i_0_421,plain,
( X1 = vapp(vabs(esk72_2(X1,X2),esk73_2(X1,X2),esk74_2(X1,X2)),esk76_2(X1,X2))
| epred3_2(X2,X1)
| esk77_2(X1,X2) != vabs(X3,X4,X5)
| ~ epred4_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_97]),
[final] ).
cnf(i_0_422,plain,
( vtcheck(X3,vabs(X1,X2,X4),varrow(X2,X5))
| ~ vtcheck(vbind(X1,X2,X3),X4,X5) ),
inference(split_conjunct,[status(thm)],[i_0_101]),
[final] ).
cnf(i_0_423,plain,
( X1 = vlookup(esk8_3(X2,X3,X1),esk9_3(X2,X3,X1))
| X1 = vsomeType(esk5_3(X2,X3,X1))
| X2 = esk1_3(X2,X3,X1)
| vlookup(X2,X3) != X1 ),
inference(split_conjunct,[status(thm)],[i_0_89]),
[final] ).
cnf(i_0_424,plain,
( X1 = vlookup(esk8_3(X2,X3,X1),esk9_3(X2,X3,X1))
| esk3_3(X2,X3,X1) = esk4_3(X2,X3,X1)
| X2 = esk1_3(X2,X3,X1)
| vlookup(X2,X3) != X1 ),
inference(split_conjunct,[status(thm)],[i_0_89]),
[final] ).
cnf(i_0_425,plain,
( X1 = vapp(esk77_2(X1,X2),esk79_2(X1,X2))
| X1 = vapp(vabs(esk72_2(X1,X2),esk73_2(X1,X2),esk74_2(X1,X2)),esk76_2(X1,X2))
| epred3_2(X2,X1)
| ~ epred4_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_97]),
[final] ).
cnf(i_0_426,plain,
( X1 = vapp(vabs(esk63_2(X1,X2),esk64_2(X1,X2),esk65_2(X1,X2)),esk62_2(X1,X2))
| X2 = vnoExp
| X1 = vvar(esk58_2(X1,X2))
| ~ visSomeExp(esk68_2(X1,X2))
| ~ epred3_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_66]),
[final] ).
cnf(i_0_427,plain,
( esk68_2(X1,X2) = vreduce(esk70_2(X1,X2))
| X1 = vapp(vabs(esk63_2(X1,X2),esk64_2(X1,X2),esk65_2(X1,X2)),esk62_2(X1,X2))
| X2 = vnoExp
| X1 = vvar(esk58_2(X1,X2))
| ~ epred3_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_66]),
[final] ).
cnf(i_0_428,plain,
( X1 = vapp(vabs(esk69_2(X1,X2),esk67_2(X1,X2),esk71_2(X1,X2)),esk70_2(X1,X2))
| esk66_2(X1,X2) = vreduce(esk62_2(X1,X2))
| X2 = vnoExp
| X1 = vvar(esk58_2(X1,X2))
| ~ epred3_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_66]),
[final] ).
cnf(i_0_429,plain,
( X1 = vapp(vabs(esk69_2(X1,X2),esk67_2(X1,X2),esk71_2(X1,X2)),esk70_2(X1,X2))
| visSomeExp(esk66_2(X1,X2))
| X2 = vnoExp
| X1 = vvar(esk58_2(X1,X2))
| ~ epred3_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_66]),
[final] ).
cnf(i_0_430,plain,
( visValue(esk70_2(X1,X2))
| X1 = vapp(vabs(esk63_2(X1,X2),esk64_2(X1,X2),esk65_2(X1,X2)),esk62_2(X1,X2))
| X2 = vnoExp
| X1 = vvar(esk58_2(X1,X2))
| ~ epred3_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_66]),
[final] ).
cnf(i_0_431,plain,
( esk78_2(X1,X2) = vreduce(esk77_2(X1,X2))
| X1 = vapp(vabs(esk72_2(X1,X2),esk73_2(X1,X2),esk74_2(X1,X2)),esk76_2(X1,X2))
| epred3_2(X2,X1)
| ~ epred4_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_97]),
[final] ).
cnf(i_0_432,plain,
( X2 = vnoExp
| X1 = vapp(vabs(esk63_2(X1,X2),esk64_2(X1,X2),esk65_2(X1,X2)),esk62_2(X1,X2))
| ~ epred3_2(X2,X1)
| ~ visSomeExp(esk68_2(X1,X2)) ),
inference(cn,[status(thm)],[i_0_102]),
[final] ).
cnf(i_0_433,plain,
( X2 = vnoExp
| esk68_2(X1,X2) = vreduce(esk70_2(X1,X2))
| X1 = vapp(vabs(esk63_2(X1,X2),esk64_2(X1,X2),esk65_2(X1,X2)),esk62_2(X1,X2))
| ~ epred3_2(X2,X1) ),
inference(cn,[status(thm)],[i_0_103]),
[final] ).
cnf(i_0_434,plain,
( X2 = vnoExp
| esk66_2(X1,X2) = vreduce(esk62_2(X1,X2))
| X1 = vapp(vabs(esk69_2(X1,X2),esk67_2(X1,X2),esk71_2(X1,X2)),esk70_2(X1,X2))
| ~ epred3_2(X2,X1) ),
inference(cn,[status(thm)],[i_0_104]),
[final] ).
cnf(i_0_435,plain,
( visSomeExp(esk78_2(X1,X2))
| X1 = vapp(vabs(esk72_2(X1,X2),esk73_2(X1,X2),esk74_2(X1,X2)),esk76_2(X1,X2))
| epred3_2(X2,X1)
| ~ epred4_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_97]),
[final] ).
cnf(i_0_436,plain,
( X1 = vsomeExp(vsubst(esk69_2(X2,X1),esk70_2(X2,X1),esk71_2(X2,X1)))
| esk66_2(X2,X1) = vreduce(esk62_2(X2,X1))
| X1 = vnoExp
| X2 = vvar(esk58_2(X2,X1))
| ~ epred3_2(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_66]),
[final] ).
cnf(i_0_437,plain,
( X1 = vlookup(esk8_3(X2,X3,X1),esk9_3(X2,X3,X1))
| X1 = vsomeType(esk5_3(X2,X3,X1))
| X1 = vnoType
| vlookup(X2,X3) != X1 ),
inference(split_conjunct,[status(thm)],[i_0_89]),
[final] ).
cnf(i_0_438,plain,
( X1 = vlookup(esk8_3(X2,X3,X1),esk9_3(X2,X3,X1))
| X1 = vsomeType(esk5_3(X2,X3,X1))
| X3 = vempty
| vlookup(X2,X3) != X1 ),
inference(split_conjunct,[status(thm)],[i_0_89]),
[final] ).
cnf(i_0_439,plain,
( X1 = vlookup(esk8_3(X2,X3,X1),esk9_3(X2,X3,X1))
| X2 = esk3_3(X2,X3,X1)
| X2 = esk1_3(X2,X3,X1)
| vlookup(X2,X3) != X1 ),
inference(split_conjunct,[status(thm)],[i_0_89]),
[final] ).
cnf(i_0_440,plain,
( X1 = vlookup(esk8_3(X2,X3,X1),esk9_3(X2,X3,X1))
| esk3_3(X2,X3,X1) = esk4_3(X2,X3,X1)
| X1 = vnoType
| vlookup(X2,X3) != X1 ),
inference(split_conjunct,[status(thm)],[i_0_89]),
[final] ).
cnf(i_0_441,plain,
( X1 = vlookup(esk8_3(X2,X3,X1),esk9_3(X2,X3,X1))
| esk3_3(X2,X3,X1) = esk4_3(X2,X3,X1)
| X3 = vempty
| vlookup(X2,X3) != X1 ),
inference(split_conjunct,[status(thm)],[i_0_89]),
[final] ).
cnf(i_0_442,plain,
( X3 = vsomeType(esk5_3(X1,X2,X3))
| X1 = esk1_3(X1,X2,X3)
| esk8_3(X1,X2,X3) != esk7_3(X1,X2,X3)
| vlookup(X1,X2) != X3 ),
inference(split_conjunct,[status(thm)],[i_0_89]),
[final] ).
cnf(i_0_443,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_105]),
[final] ).
cnf(i_0_444,plain,
( esk3_3(X1,X2,X3) = esk4_3(X1,X2,X3)
| X1 = esk1_3(X1,X2,X3)
| esk8_3(X1,X2,X3) != esk7_3(X1,X2,X3)
| vlookup(X1,X2) != X3 ),
inference(split_conjunct,[status(thm)],[i_0_89]),
[final] ).
cnf(i_0_445,plain,
( X2 = vnoExp
| X1 = vapp(vabs(esk69_2(X1,X2),esk67_2(X1,X2),esk71_2(X1,X2)),esk70_2(X1,X2))
| visSomeExp(esk66_2(X1,X2))
| ~ epred3_2(X2,X1) ),
inference(cn,[status(thm)],[i_0_106]),
[final] ).
cnf(i_0_446,plain,
( X2 = vnoExp
| X1 = vapp(vabs(esk63_2(X1,X2),esk64_2(X1,X2),esk65_2(X1,X2)),esk62_2(X1,X2))
| visValue(esk70_2(X1,X2))
| ~ epred3_2(X2,X1) ),
inference(cn,[status(thm)],[i_0_107]),
[final] ).
cnf(i_0_447,plain,
( X1 = vsomeExp(vsubst(esk69_2(X2,X1),esk70_2(X2,X1),esk71_2(X2,X1)))
| visSomeExp(esk66_2(X2,X1))
| X1 = vnoExp
| X2 = vvar(esk58_2(X2,X1))
| ~ epred3_2(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_66]),
[final] ).
cnf(i_0_448,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_108]),
[final] ).
cnf(i_0_449,plain,
( X1 = vnoExp
| esk66_2(X2,X1) = vreduce(esk62_2(X2,X1))
| X1 = vsomeExp(vsubst(esk69_2(X2,X1),esk70_2(X2,X1),esk71_2(X2,X1)))
| ~ epred3_2(X1,X2) ),
inference(cn,[status(thm)],[i_0_109]),
[final] ).
cnf(i_0_450,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_110]),
[final] ).
cnf(i_0_451,plain,
( visFreeVar(X1,X2)
| vtcheck(X4,X2,X5)
| ~ vtcheck(vbind(X1,X3,X4),X2,X5) ),
inference(split_conjunct,[status(thm)],[i_0_111]),
[final] ).
cnf(i_0_452,plain,
( X1 = vnoExp
| X1 = vsomeExp(vsubst(esk69_2(X2,X1),esk70_2(X2,X1),esk71_2(X2,X1)))
| visSomeExp(esk66_2(X2,X1))
| ~ epred3_2(X1,X2) ),
inference(cn,[status(thm)],[i_0_112]),
[final] ).
cnf(i_0_453,plain,
( X1 = vlookup(esk8_3(X2,X3,X1),esk9_3(X2,X3,X1))
| X2 = esk3_3(X2,X3,X1)
| X1 = vnoType
| vlookup(X2,X3) != X1 ),
inference(split_conjunct,[status(thm)],[i_0_89]),
[final] ).
cnf(i_0_454,plain,
( X1 = vlookup(esk8_3(X2,X3,X1),esk9_3(X2,X3,X1))
| X2 = esk3_3(X2,X3,X1)
| X3 = vempty
| vlookup(X2,X3) != X1 ),
inference(split_conjunct,[status(thm)],[i_0_89]),
[final] ).
cnf(i_0_455,plain,
( X3 = vsomeType(esk5_3(X1,X2,X3))
| X2 = vempty
| esk8_3(X1,X2,X3) != esk7_3(X1,X2,X3)
| vlookup(X1,X2) != X3 ),
inference(split_conjunct,[status(thm)],[i_0_89]),
[final] ).
cnf(i_0_456,plain,
( X3 = vsomeType(esk5_3(X1,X2,X3))
| X3 = vnoType
| esk8_3(X1,X2,X3) != esk7_3(X1,X2,X3)
| vlookup(X1,X2) != X3 ),
inference(split_conjunct,[status(thm)],[i_0_89]),
[final] ).
cnf(i_0_457,plain,
( X1 = esk3_3(X1,X2,X3)
| X1 = esk1_3(X1,X2,X3)
| esk8_3(X1,X2,X3) != esk7_3(X1,X2,X3)
| vlookup(X1,X2) != X3 ),
inference(split_conjunct,[status(thm)],[i_0_89]),
[final] ).
cnf(i_0_458,plain,
( esk3_3(X1,X2,X3) = esk4_3(X1,X2,X3)
| X2 = vempty
| esk8_3(X1,X2,X3) != esk7_3(X1,X2,X3)
| vlookup(X1,X2) != X3 ),
inference(split_conjunct,[status(thm)],[i_0_89]),
[final] ).
cnf(i_0_459,plain,
( esk3_3(X1,X2,X3) = esk4_3(X1,X2,X3)
| X3 = vnoType
| esk8_3(X1,X2,X3) != esk7_3(X1,X2,X3)
| vlookup(X1,X2) != X3 ),
inference(split_conjunct,[status(thm)],[i_0_89]),
[final] ).
cnf(i_0_460,negated_conjecture,
~ vtcheck(esk33_0,vsubst(esk34_0,esk35_0,vapp(ve1,ve2)),esk36_0),
inference(split_conjunct,[status(thm)],[i_0_113]),
[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(esk78_2(X2,X1)),esk79_2(X2,X1)))
| epred3_2(X1,X2)
| ~ visSomeExp(esk75_2(X2,X1))
| ~ epred4_2(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_97]),
[final] ).
cnf(i_0_463,plain,
( X1 = vsomeExp(vapp(vgetSomeExp(esk78_2(X2,X1)),esk79_2(X2,X1)))
| epred3_2(X1,X2)
| ~ visValue(esk76_2(X2,X1))
| ~ epred4_2(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_97]),
[final] ).
cnf(i_0_464,plain,
( X1 = vsomeExp(vapp(vgetSomeExp(esk78_2(X2,X1)),esk79_2(X2,X1)))
| esk75_2(X2,X1) = vreduce(esk76_2(X2,X1))
| epred3_2(X1,X2)
| ~ epred4_2(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_97]),
[final] ).
cnf(i_0_465,plain,
( esk66_2(X1,X2) = vreduce(esk62_2(X1,X2))
| X1 = vabs(esk59_2(X1,X2),esk60_2(X1,X2),esk61_2(X1,X2))
| X1 = vvar(esk58_2(X1,X2))
| ~ visSomeExp(esk68_2(X1,X2))
| ~ epred3_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_66]),
[final] ).
cnf(i_0_466,plain,
( esk68_2(X1,X2) = vreduce(esk70_2(X1,X2))
| esk66_2(X1,X2) = vreduce(esk62_2(X1,X2))
| X1 = vabs(esk59_2(X1,X2),esk60_2(X1,X2),esk61_2(X1,X2))
| X1 = vvar(esk58_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(esk66_2(X1,X2))
| X1 = vabs(esk59_2(X1,X2),esk60_2(X1,X2),esk61_2(X1,X2))
| X1 = vvar(esk58_2(X1,X2))
| ~ visSomeExp(esk68_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,
( esk68_2(X1,X2) = vreduce(esk70_2(X1,X2))
| visSomeExp(esk66_2(X1,X2))
| X1 = vabs(esk59_2(X1,X2),esk60_2(X1,X2),esk61_2(X1,X2))
| X1 = vvar(esk58_2(X1,X2))
| ~ epred3_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_66]),
[final] ).
cnf(i_0_471,plain,
( visValue(esk70_2(X1,X2))
| esk66_2(X1,X2) = vreduce(esk62_2(X1,X2))
| X1 = vabs(esk59_2(X1,X2),esk60_2(X1,X2),esk61_2(X1,X2))
| X1 = vvar(esk58_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_89]),
[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_89]),
[final] ).
cnf(i_0_474,plain,
( esk66_2(X1,X2) = vreduce(esk62_2(X1,X2))
| X1 = vabs(esk59_2(X1,X2),esk60_2(X1,X2),esk61_2(X1,X2))
| X2 = vnoExp
| ~ visSomeExp(esk68_2(X1,X2))
| ~ epred3_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_66]),
[final] ).
cnf(i_0_475,plain,
( visValue(esk70_2(X1,X2))
| visSomeExp(esk66_2(X1,X2))
| X1 = vabs(esk59_2(X1,X2),esk60_2(X1,X2),esk61_2(X1,X2))
| X1 = vvar(esk58_2(X1,X2))
| ~ epred3_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_66]),
[final] ).
cnf(i_0_476,plain,
( X1 = esk8_3(X1,X2,X3)
| X3 = vsomeType(esk5_3(X1,X2,X3))
| X1 = esk1_3(X1,X2,X3)
| vlookup(X1,X2) != X3 ),
inference(split_conjunct,[status(thm)],[i_0_89]),
[final] ).
cnf(i_0_477,plain,
( esk68_2(X1,X2) = vreduce(esk70_2(X1,X2))
| esk66_2(X1,X2) = vreduce(esk62_2(X1,X2))
| X1 = vabs(esk59_2(X1,X2),esk60_2(X1,X2),esk61_2(X1,X2))
| X2 = vnoExp
| ~ epred3_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_66]),
[final] ).
cnf(i_0_478,plain,
( X1 = esk8_3(X1,X2,X3)
| esk3_3(X1,X2,X3) = esk4_3(X1,X2,X3)
| X1 = esk1_3(X1,X2,X3)
| vlookup(X1,X2) != X3 ),
inference(split_conjunct,[status(thm)],[i_0_89]),
[final] ).
cnf(i_0_479,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_480,plain,
( X1 = vsomeExp(vapp(vgetSomeExp(esk78_2(X2,X1)),esk79_2(X2,X1)))
| X1 = vnoExp
| epred3_2(X1,X2)
| ~ epred4_2(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_97]),
[final] ).
cnf(i_0_481,plain,
( visSomeExp(esk66_2(X1,X2))
| X1 = vabs(esk59_2(X1,X2),esk60_2(X1,X2),esk61_2(X1,X2))
| X2 = vnoExp
| ~ visSomeExp(esk68_2(X1,X2))
| ~ epred3_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_66]),
[final] ).
cnf(i_0_482,plain,
( esk68_2(X1,X2) = vreduce(esk70_2(X1,X2))
| visSomeExp(esk66_2(X1,X2))
| X1 = vabs(esk59_2(X1,X2),esk60_2(X1,X2),esk61_2(X1,X2))
| X2 = vnoExp
| ~ epred3_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_66]),
[final] ).
cnf(i_0_483,plain,
( visValue(esk70_2(X1,X2))
| esk66_2(X1,X2) = vreduce(esk62_2(X1,X2))
| X1 = vabs(esk59_2(X1,X2),esk60_2(X1,X2),esk61_2(X1,X2))
| X2 = vnoExp
| ~ epred3_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_66]),
[final] ).
cnf(i_0_484,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_485,plain,
( visValue(esk70_2(X1,X2))
| visSomeExp(esk66_2(X1,X2))
| X1 = vabs(esk59_2(X1,X2),esk60_2(X1,X2),esk61_2(X1,X2))
| X2 = vnoExp
| ~ epred3_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_66]),
[final] ).
cnf(i_0_486,plain,
( X1 = esk8_3(X1,X2,X3)
| X3 = vsomeType(esk5_3(X1,X2,X3))
| X2 = vempty
| vlookup(X1,X2) != X3 ),
inference(split_conjunct,[status(thm)],[i_0_89]),
[final] ).
cnf(i_0_487,plain,
( X1 = esk8_3(X1,X2,X3)
| X3 = vsomeType(esk5_3(X1,X2,X3))
| X3 = vnoType
| vlookup(X1,X2) != X3 ),
inference(split_conjunct,[status(thm)],[i_0_89]),
[final] ).
cnf(i_0_488,plain,
( epred3_2(X2,X1)
| esk77_2(X1,X2) != vabs(X3,X4,X5)
| ~ visSomeExp(esk75_2(X1,X2))
| ~ epred4_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_97]),
[final] ).
cnf(i_0_489,plain,
( epred3_2(X2,X1)
| esk77_2(X1,X2) != vabs(X3,X4,X5)
| ~ visValue(esk76_2(X1,X2))
| ~ epred4_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_97]),
[final] ).
cnf(i_0_490,plain,
( X1 = esk8_3(X1,X2,X3)
| X1 = esk3_3(X1,X2,X3)
| X1 = esk1_3(X1,X2,X3)
| vlookup(X1,X2) != X3 ),
inference(split_conjunct,[status(thm)],[i_0_89]),
[final] ).
cnf(i_0_491,plain,
( X1 = esk8_3(X1,X2,X3)
| esk3_3(X1,X2,X3) = esk4_3(X1,X2,X3)
| X2 = vempty
| vlookup(X1,X2) != X3 ),
inference(split_conjunct,[status(thm)],[i_0_89]),
[final] ).
cnf(i_0_492,plain,
( X1 = esk8_3(X1,X2,X3)
| esk3_3(X1,X2,X3) = esk4_3(X1,X2,X3)
| X3 = vnoType
| vlookup(X1,X2) != X3 ),
inference(split_conjunct,[status(thm)],[i_0_89]),
[final] ).
cnf(i_0_493,plain,
( esk75_2(X1,X2) = vreduce(esk76_2(X1,X2))
| epred3_2(X2,X1)
| esk77_2(X1,X2) != vabs(X3,X4,X5)
| ~ epred4_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_97]),
[final] ).
cnf(i_0_494,plain,
( X1 = X2
| vbind(X1,X3,X4) != vbind(X2,X5,X6) ),
inference(split_conjunct,[status(thm)],[i_0_119]),
[final] ).
cnf(i_0_495,plain,
( X1 = X2
| vbind(X3,X1,X4) != vbind(X5,X2,X6) ),
inference(split_conjunct,[status(thm)],[i_0_119]),
[final] ).
cnf(i_0_496,plain,
( X1 = X2
| vbind(X3,X4,X1) != vbind(X5,X6,X2) ),
inference(split_conjunct,[status(thm)],[i_0_119]),
[final] ).
cnf(i_0_497,plain,
( X1 = X2
| vabs(X1,X3,X4) != vabs(X2,X5,X6) ),
inference(split_conjunct,[status(thm)],[i_0_120]),
[final] ).
cnf(i_0_498,plain,
( X1 = X2
| vabs(X3,X1,X4) != vabs(X5,X2,X6) ),
inference(split_conjunct,[status(thm)],[i_0_120]),
[final] ).
cnf(i_0_499,plain,
( X1 = X2
| vabs(X3,X4,X1) != vabs(X5,X6,X2) ),
inference(split_conjunct,[status(thm)],[i_0_120]),
[final] ).
cnf(i_0_500,negated_conjecture,
vtcheck(vbind(esk34_0,esk32_0,esk33_0),vapp(ve1,ve2),esk36_0),
inference(split_conjunct,[status(thm)],[i_0_113]),
[final] ).
cnf(i_0_501,plain,
( X1 = vapp(esk77_2(X1,X2),esk79_2(X1,X2))
| epred3_2(X2,X1)
| ~ visSomeExp(esk75_2(X1,X2))
| ~ epred4_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_97]),
[final] ).
cnf(i_0_502,plain,
( X1 = vapp(esk77_2(X1,X2),esk79_2(X1,X2))
| epred3_2(X2,X1)
| ~ visValue(esk76_2(X1,X2))
| ~ epred4_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_97]),
[final] ).
cnf(i_0_503,plain,
( X1 = vapp(esk77_2(X1,X2),esk79_2(X1,X2))
| esk75_2(X1,X2) = vreduce(esk76_2(X1,X2))
| epred3_2(X2,X1)
| ~ epred4_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_97]),
[final] ).
cnf(i_0_504,plain,
( esk66_2(X1,X2) = vreduce(esk62_2(X1,X2))
| X2 = vnoExp
| X1 = vvar(esk58_2(X1,X2))
| ~ visSomeExp(esk68_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)
| esk77_2(X1,X2) != vabs(X3,X4,X5)
| ~ epred4_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_97]),
[final] ).
cnf(i_0_506,plain,
( esk68_2(X1,X2) = vreduce(esk70_2(X1,X2))
| esk66_2(X1,X2) = vreduce(esk62_2(X1,X2))
| X2 = vnoExp
| X1 = vvar(esk58_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_89]),
[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_89]),
[final] ).
cnf(i_0_509,plain,
( visSomeExp(esk66_2(X1,X2))
| X2 = vnoExp
| X1 = vvar(esk58_2(X1,X2))
| ~ visSomeExp(esk68_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,
( esk68_2(X1,X2) = vreduce(esk70_2(X1,X2))
| visSomeExp(esk66_2(X1,X2))
| X2 = vnoExp
| X1 = vvar(esk58_2(X1,X2))
| ~ epred3_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_66]),
[final] ).
cnf(i_0_514,plain,
( visValue(esk70_2(X1,X2))
| esk66_2(X1,X2) = vreduce(esk62_2(X1,X2))
| X2 = vnoExp
| X1 = vvar(esk58_2(X1,X2))
| ~ epred3_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_66]),
[final] ).
cnf(i_0_515,plain,
( esk78_2(X1,X2) = vreduce(esk77_2(X1,X2))
| epred3_2(X2,X1)
| ~ visSomeExp(esk75_2(X1,X2))
| ~ epred4_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_97]),
[final] ).
cnf(i_0_516,plain,
( esk78_2(X1,X2) = vreduce(esk77_2(X1,X2))
| epred3_2(X2,X1)
| ~ visValue(esk76_2(X1,X2))
| ~ epred4_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_97]),
[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,
( esk78_2(X1,X2) = vreduce(esk77_2(X1,X2))
| esk75_2(X1,X2) = vreduce(esk76_2(X1,X2))
| epred3_2(X2,X1)
| ~ epred4_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_97]),
[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(esk70_2(X1,X2))
| visSomeExp(esk66_2(X1,X2))
| X2 = vnoExp
| X1 = vvar(esk58_2(X1,X2))
| ~ epred3_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_66]),
[final] ).
cnf(i_0_522,plain,
( X2 = vnoExp
| esk66_2(X1,X2) = vreduce(esk62_2(X1,X2))
| ~ epred3_2(X2,X1)
| ~ visSomeExp(esk68_2(X1,X2)) ),
inference(cn,[status(thm)],[i_0_125]),
[final] ).
cnf(i_0_523,plain,
( visSomeExp(esk78_2(X1,X2))
| epred3_2(X2,X1)
| ~ visSomeExp(esk75_2(X1,X2))
| ~ epred4_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_97]),
[final] ).
cnf(i_0_524,plain,
( visSomeExp(esk78_2(X1,X2))
| epred3_2(X2,X1)
| ~ visValue(esk76_2(X1,X2))
| ~ epred4_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_97]),
[final] ).
cnf(i_0_525,plain,
( X2 = vnoExp
| esk66_2(X1,X2) = vreduce(esk62_2(X1,X2))
| esk68_2(X1,X2) = vreduce(esk70_2(X1,X2))
| ~ epred3_2(X2,X1) ),
inference(cn,[status(thm)],[i_0_126]),
[final] ).
cnf(i_0_526,plain,
( visSomeExp(esk78_2(X1,X2))
| esk75_2(X1,X2) = vreduce(esk76_2(X1,X2))
| epred3_2(X2,X1)
| ~ epred4_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_97]),
[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(esk77_2(X1,X2),esk79_2(X1,X2))
| X2 = vnoExp
| epred3_2(X2,X1)
| ~ epred4_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_97]),
[final] ).
cnf(i_0_531,plain,
( X2 = vnoExp
| visSomeExp(esk66_2(X1,X2))
| ~ epred3_2(X2,X1)
| ~ visSomeExp(esk68_2(X1,X2)) ),
inference(cn,[status(thm)],[i_0_130]),
[final] ).
cnf(i_0_532,plain,
( X2 = vnoExp
| esk68_2(X1,X2) = vreduce(esk70_2(X1,X2))
| visSomeExp(esk66_2(X1,X2))
| ~ epred3_2(X2,X1) ),
inference(cn,[status(thm)],[i_0_131]),
[final] ).
cnf(i_0_533,plain,
( X2 = vnoExp
| esk66_2(X1,X2) = vreduce(esk62_2(X1,X2))
| visValue(esk70_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(esk70_2(X1,X2))
| visSomeExp(esk66_2(X1,X2))
| ~ epred3_2(X2,X1) ),
inference(cn,[status(thm)],[i_0_138]),
[final] ).
cnf(i_0_541,plain,
( esk78_2(X1,X2) = vreduce(esk77_2(X1,X2))
| X2 = vnoExp
| epred3_2(X2,X1)
| ~ epred4_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_97]),
[final] ).
cnf(i_0_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(esk78_2(X1,X2))
| X2 = vnoExp
| epred3_2(X2,X1)
| ~ epred4_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_97]),
[final] ).
cnf(i_0_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_113]),
[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,plain,
( X1 != vvar(X2)
| ~ visValue(X1) ),
inference(split_conjunct,[status(thm)],[i_0_150]),
[final] ).
cnf(i_0_564,plain,
( X1 = X2
| vsomeExp(X1) != vsomeExp(X2) ),
inference(split_conjunct,[status(thm)],[i_0_151]),
[final] ).
cnf(i_0_565,plain,
( X1 = X2
| vsomeType(X1) != vsomeType(X2) ),
inference(split_conjunct,[status(thm)],[i_0_152]),
[final] ).
cnf(i_0_566,plain,
( X1 = X2
| vvar(X1) != vvar(X2) ),
inference(split_conjunct,[status(thm)],[i_0_153]),
[final] ).
cnf(i_0_567,plain,
( visSomeExp(X1)
| X1 != vsomeExp(X2) ),
inference(split_conjunct,[status(thm)],[i_0_154]),
[final] ).
cnf(i_0_568,plain,
( visSomeType(X1)
| X1 != vsomeType(X2) ),
inference(split_conjunct,[status(thm)],[i_0_155]),
[final] ).
cnf(i_0_569,plain,
( X1 != vnoExp
| ~ visSomeExp(X1) ),
inference(split_conjunct,[status(thm)],[i_0_156]),
[final] ).
cnf(i_0_570,plain,
( X1 != vnoType
| ~ visSomeType(X1) ),
inference(split_conjunct,[status(thm)],[i_0_157]),
[final] ).
cnf(i_0_571,plain,
vnoExp != vsomeExp(X1),
inference(split_conjunct,[status(thm)],[i_0_158]),
[final] ).
cnf(i_0_572,plain,
vnoType != vsomeType(X1),
inference(split_conjunct,[status(thm)],[i_0_159]),
[final] ).
cnf(i_0_573,axiom,
X1 = X1 ).
cnf(i_0_574,axiom,
( X1 = X2
| X2 != X1 ) ).
cnf(i_0_575,axiom,
( X1 = X2
| X1 != X3
| X3 != X2 ) ).
cnf(i_0_576,axiom,
( X1 != X2
| vsubst(X1,X3,X4) = vsubst(X2,X3,X4) ) ).
cnf(i_0_577,axiom,
( X1 != X2
| vsubst(X3,X1,X4) = vsubst(X3,X2,X4) ) ).
cnf(i_0_578,axiom,
( X1 != X2
| vsubst(X3,X4,X1) = vsubst(X3,X4,X2) ) ).
cnf(i_0_579,axiom,
( X1 != X2
| esk49_4(X1,X3,X4,X5) = esk49_4(X2,X3,X4,X5) ) ).
cnf(i_0_580,axiom,
( X1 != X2
| esk49_4(X3,X1,X4,X5) = esk49_4(X3,X2,X4,X5) ) ).
cnf(i_0_581,axiom,
( X1 != X2
| esk49_4(X3,X4,X1,X5) = esk49_4(X3,X4,X2,X5) ) ).
cnf(i_0_582,axiom,
( X1 != X2
| esk49_4(X3,X4,X5,X1) = esk49_4(X3,X4,X5,X2) ) ).
cnf(i_0_583,axiom,
( X1 != X2
| vapp(X1,X3) = vapp(X2,X3) ) ).
cnf(i_0_584,axiom,
( X1 != X2
| vapp(X3,X1) = vapp(X3,X2) ) ).
cnf(i_0_585,axiom,
( X1 != X2
| esk44_4(X1,X3,X4,X5) = esk44_4(X2,X3,X4,X5) ) ).
cnf(i_0_586,axiom,
( X1 != X2
| esk44_4(X3,X1,X4,X5) = esk44_4(X3,X2,X4,X5) ) ).
cnf(i_0_587,axiom,
( X1 != X2
| esk44_4(X3,X4,X1,X5) = esk44_4(X3,X4,X2,X5) ) ).
cnf(i_0_588,axiom,
( X1 != X2
| esk44_4(X3,X4,X5,X1) = esk44_4(X3,X4,X5,X2) ) ).
cnf(i_0_589,axiom,
( X1 != X2
| esk45_4(X1,X3,X4,X5) = esk45_4(X2,X3,X4,X5) ) ).
cnf(i_0_590,axiom,
( X1 != X2
| esk45_4(X3,X1,X4,X5) = esk45_4(X3,X2,X4,X5) ) ).
cnf(i_0_591,axiom,
( X1 != X2
| esk45_4(X3,X4,X1,X5) = esk45_4(X3,X4,X2,X5) ) ).
cnf(i_0_592,axiom,
( X1 != X2
| esk45_4(X3,X4,X5,X1) = esk45_4(X3,X4,X5,X2) ) ).
cnf(i_0_593,axiom,
( X1 != X2
| esk48_4(X1,X3,X4,X5) = esk48_4(X2,X3,X4,X5) ) ).
cnf(i_0_594,axiom,
( X1 != X2
| esk48_4(X3,X1,X4,X5) = esk48_4(X3,X2,X4,X5) ) ).
cnf(i_0_595,axiom,
( X1 != X2
| esk48_4(X3,X4,X1,X5) = esk48_4(X3,X4,X2,X5) ) ).
cnf(i_0_596,axiom,
( X1 != X2
| esk48_4(X3,X4,X5,X1) = esk48_4(X3,X4,X5,X2) ) ).
cnf(i_0_597,axiom,
( X1 != X2
| esk47_4(X1,X3,X4,X5) = esk47_4(X2,X3,X4,X5) ) ).
cnf(i_0_598,axiom,
( X1 != X2
| esk47_4(X3,X1,X4,X5) = esk47_4(X3,X2,X4,X5) ) ).
cnf(i_0_599,axiom,
( X1 != X2
| esk47_4(X3,X4,X1,X5) = esk47_4(X3,X4,X2,X5) ) ).
cnf(i_0_600,axiom,
( X1 != X2
| esk47_4(X3,X4,X5,X1) = esk47_4(X3,X4,X5,X2) ) ).
cnf(i_0_601,axiom,
( X1 != X2
| esk52_4(X1,X3,X4,X5) = esk52_4(X2,X3,X4,X5) ) ).
cnf(i_0_602,axiom,
( X1 != X2
| esk52_4(X3,X1,X4,X5) = esk52_4(X3,X2,X4,X5) ) ).
cnf(i_0_603,axiom,
( X1 != X2
| esk52_4(X3,X4,X1,X5) = esk52_4(X3,X4,X2,X5) ) ).
cnf(i_0_604,axiom,
( X1 != X2
| esk52_4(X3,X4,X5,X1) = esk52_4(X3,X4,X5,X2) ) ).
cnf(i_0_605,axiom,
( X1 != X2
| vgensym(X1) = vgensym(X2) ) ).
cnf(i_0_606,axiom,
( X1 != X2
| vsomeExp(X1) = vsomeExp(X2) ) ).
cnf(i_0_607,axiom,
( X1 != X2
| vgetSomeExp(X1) = vgetSomeExp(X2) ) ).
cnf(i_0_608,axiom,
( X1 != X2
| vreduce(X1) = vreduce(X2) ) ).
cnf(i_0_609,axiom,
( X1 != X2
| esk10_4(X1,X3,X4,X5) = esk10_4(X2,X3,X4,X5) ) ).
cnf(i_0_610,axiom,
( X1 != X2
| esk10_4(X3,X1,X4,X5) = esk10_4(X3,X2,X4,X5) ) ).
cnf(i_0_611,axiom,
( X1 != X2
| esk10_4(X3,X4,X1,X5) = esk10_4(X3,X4,X2,X5) ) ).
cnf(i_0_612,axiom,
( X1 != X2
| esk10_4(X3,X4,X5,X1) = esk10_4(X3,X4,X5,X2) ) ).
cnf(i_0_613,axiom,
( X1 != X2
| esk12_4(X1,X3,X4,X5) = esk12_4(X2,X3,X4,X5) ) ).
cnf(i_0_614,axiom,
( X1 != X2
| esk12_4(X3,X1,X4,X5) = esk12_4(X3,X2,X4,X5) ) ).
cnf(i_0_615,axiom,
( X1 != X2
| esk12_4(X3,X4,X1,X5) = esk12_4(X3,X4,X2,X5) ) ).
cnf(i_0_616,axiom,
( X1 != X2
| esk12_4(X3,X4,X5,X1) = esk12_4(X3,X4,X5,X2) ) ).
cnf(i_0_617,axiom,
( X1 != X2
| esk53_4(X1,X3,X4,X5) = esk53_4(X2,X3,X4,X5) ) ).
cnf(i_0_618,axiom,
( X1 != X2
| esk53_4(X3,X1,X4,X5) = esk53_4(X3,X2,X4,X5) ) ).
cnf(i_0_619,axiom,
( X1 != X2
| esk53_4(X3,X4,X1,X5) = esk53_4(X3,X4,X2,X5) ) ).
cnf(i_0_620,axiom,
( X1 != X2
| esk53_4(X3,X4,X5,X1) = esk53_4(X3,X4,X5,X2) ) ).
cnf(i_0_621,axiom,
( X1 != X2
| esk13_4(X1,X3,X4,X5) = esk13_4(X2,X3,X4,X5) ) ).
cnf(i_0_622,axiom,
( X1 != X2
| esk13_4(X3,X1,X4,X5) = esk13_4(X3,X2,X4,X5) ) ).
cnf(i_0_623,axiom,
( X1 != X2
| esk13_4(X3,X4,X1,X5) = esk13_4(X3,X4,X2,X5) ) ).
cnf(i_0_624,axiom,
( X1 != X2
| esk13_4(X3,X4,X5,X1) = esk13_4(X3,X4,X5,X2) ) ).
cnf(i_0_625,axiom,
( X1 != X2
| esk38_4(X1,X3,X4,X5) = esk38_4(X2,X3,X4,X5) ) ).
cnf(i_0_626,axiom,
( X1 != X2
| esk38_4(X3,X1,X4,X5) = esk38_4(X3,X2,X4,X5) ) ).
cnf(i_0_627,axiom,
( X1 != X2
| esk38_4(X3,X4,X1,X5) = esk38_4(X3,X4,X2,X5) ) ).
cnf(i_0_628,axiom,
( X1 != X2
| esk38_4(X3,X4,X5,X1) = esk38_4(X3,X4,X5,X2) ) ).
cnf(i_0_629,axiom,
( X1 != X2
| esk41_4(X1,X3,X4,X5) = esk41_4(X2,X3,X4,X5) ) ).
cnf(i_0_630,axiom,
( X1 != X2
| esk41_4(X3,X1,X4,X5) = esk41_4(X3,X2,X4,X5) ) ).
cnf(i_0_631,axiom,
( X1 != X2
| esk41_4(X3,X4,X1,X5) = esk41_4(X3,X4,X2,X5) ) ).
cnf(i_0_632,axiom,
( X1 != X2
| esk41_4(X3,X4,X5,X1) = esk41_4(X3,X4,X5,X2) ) ).
cnf(i_0_633,axiom,
( X1 != X2
| esk42_4(X1,X3,X4,X5) = esk42_4(X2,X3,X4,X5) ) ).
cnf(i_0_634,axiom,
( X1 != X2
| esk42_4(X3,X1,X4,X5) = esk42_4(X3,X2,X4,X5) ) ).
cnf(i_0_635,axiom,
( X1 != X2
| esk42_4(X3,X4,X1,X5) = esk42_4(X3,X4,X2,X5) ) ).
cnf(i_0_636,axiom,
( X1 != X2
| esk42_4(X3,X4,X5,X1) = esk42_4(X3,X4,X5,X2) ) ).
cnf(i_0_637,axiom,
( X1 != X2
| esk37_4(X1,X3,X4,X5) = esk37_4(X2,X3,X4,X5) ) ).
cnf(i_0_638,axiom,
( X1 != X2
| esk37_4(X3,X1,X4,X5) = esk37_4(X3,X2,X4,X5) ) ).
cnf(i_0_639,axiom,
( X1 != X2
| esk37_4(X3,X4,X1,X5) = esk37_4(X3,X4,X2,X5) ) ).
cnf(i_0_640,axiom,
( X1 != X2
| esk37_4(X3,X4,X5,X1) = esk37_4(X3,X4,X5,X2) ) ).
cnf(i_0_641,axiom,
( X1 != X2
| esk39_4(X1,X3,X4,X5) = esk39_4(X2,X3,X4,X5) ) ).
cnf(i_0_642,axiom,
( X1 != X2
| esk39_4(X3,X1,X4,X5) = esk39_4(X3,X2,X4,X5) ) ).
cnf(i_0_643,axiom,
( X1 != X2
| esk39_4(X3,X4,X1,X5) = esk39_4(X3,X4,X2,X5) ) ).
cnf(i_0_644,axiom,
( X1 != X2
| esk39_4(X3,X4,X5,X1) = esk39_4(X3,X4,X5,X2) ) ).
cnf(i_0_645,axiom,
( X1 != X2
| vabs(X1,X3,X4) = vabs(X2,X3,X4) ) ).
cnf(i_0_646,axiom,
( X1 != X2
| vabs(X3,X1,X4) = vabs(X3,X2,X4) ) ).
cnf(i_0_647,axiom,
( X1 != X2
| vabs(X3,X4,X1) = vabs(X3,X4,X2) ) ).
cnf(i_0_648,axiom,
( X1 != X2
| varrow(X1,X3) = varrow(X2,X3) ) ).
cnf(i_0_649,axiom,
( X1 != X2
| varrow(X3,X1) = varrow(X3,X2) ) ).
cnf(i_0_650,axiom,
( X1 != X2
| vbind(X1,X3,X4) = vbind(X2,X3,X4) ) ).
cnf(i_0_651,axiom,
( X1 != X2
| vbind(X3,X1,X4) = vbind(X3,X2,X4) ) ).
cnf(i_0_652,axiom,
( X1 != X2
| vbind(X3,X4,X1) = vbind(X3,X4,X2) ) ).
cnf(i_0_653,axiom,
( X1 != X2
| vlookup(X1,X3) = vlookup(X2,X3) ) ).
cnf(i_0_654,axiom,
( X1 != X2
| vlookup(X3,X1) = vlookup(X3,X2) ) ).
cnf(i_0_655,axiom,
( X1 != X2
| esk56_4(X1,X3,X4,X5) = esk56_4(X2,X3,X4,X5) ) ).
cnf(i_0_656,axiom,
( X1 != X2
| esk56_4(X3,X1,X4,X5) = esk56_4(X3,X2,X4,X5) ) ).
cnf(i_0_657,axiom,
( X1 != X2
| esk56_4(X3,X4,X1,X5) = esk56_4(X3,X4,X2,X5) ) ).
cnf(i_0_658,axiom,
( X1 != X2
| esk56_4(X3,X4,X5,X1) = esk56_4(X3,X4,X5,X2) ) ).
cnf(i_0_659,axiom,
( X1 != X2
| vsomeType(X1) = vsomeType(X2) ) ).
cnf(i_0_660,axiom,
( X1 != X2
| esk66_2(X1,X3) = esk66_2(X2,X3) ) ).
cnf(i_0_661,axiom,
( X1 != X2
| esk66_2(X3,X1) = esk66_2(X3,X2) ) ).
cnf(i_0_662,axiom,
( X1 != X2
| esk40_4(X1,X3,X4,X5) = esk40_4(X2,X3,X4,X5) ) ).
cnf(i_0_663,axiom,
( X1 != X2
| esk40_4(X3,X1,X4,X5) = esk40_4(X3,X2,X4,X5) ) ).
cnf(i_0_664,axiom,
( X1 != X2
| esk40_4(X3,X4,X1,X5) = esk40_4(X3,X4,X2,X5) ) ).
cnf(i_0_665,axiom,
( X1 != X2
| esk40_4(X3,X4,X5,X1) = esk40_4(X3,X4,X5,X2) ) ).
cnf(i_0_666,axiom,
( X1 != X2
| esk68_2(X1,X3) = esk68_2(X2,X3) ) ).
cnf(i_0_667,axiom,
( X1 != X2
| esk68_2(X3,X1) = esk68_2(X3,X2) ) ).
cnf(i_0_668,axiom,
( X1 != X2
| esk7_3(X1,X3,X4) = esk7_3(X2,X3,X4) ) ).
cnf(i_0_669,axiom,
( X1 != X2
| esk7_3(X3,X1,X4) = esk7_3(X3,X2,X4) ) ).
cnf(i_0_670,axiom,
( X1 != X2
| esk7_3(X3,X4,X1) = esk7_3(X3,X4,X2) ) ).
cnf(i_0_671,axiom,
( X1 != X2
| esk4_3(X1,X3,X4) = esk4_3(X2,X3,X4) ) ).
cnf(i_0_672,axiom,
( X1 != X2
| esk4_3(X3,X1,X4) = esk4_3(X3,X2,X4) ) ).
cnf(i_0_673,axiom,
( X1 != X2
| esk4_3(X3,X4,X1) = esk4_3(X3,X4,X2) ) ).
cnf(i_0_674,axiom,
( X1 != X2
| esk55_4(X1,X3,X4,X5) = esk55_4(X2,X3,X4,X5) ) ).
cnf(i_0_675,axiom,
( X1 != X2
| esk55_4(X3,X1,X4,X5) = esk55_4(X3,X2,X4,X5) ) ).
cnf(i_0_676,axiom,
( X1 != X2
| esk55_4(X3,X4,X1,X5) = esk55_4(X3,X4,X2,X5) ) ).
cnf(i_0_677,axiom,
( X1 != X2
| esk55_4(X3,X4,X5,X1) = esk55_4(X3,X4,X5,X2) ) ).
cnf(i_0_678,axiom,
( X1 != X2
| esk1_3(X1,X3,X4) = esk1_3(X2,X3,X4) ) ).
cnf(i_0_679,axiom,
( X1 != X2
| esk1_3(X3,X1,X4) = esk1_3(X3,X2,X4) ) ).
cnf(i_0_680,axiom,
( X1 != X2
| esk1_3(X3,X4,X1) = esk1_3(X3,X4,X2) ) ).
cnf(i_0_681,axiom,
( X1 != X2
| esk8_3(X1,X3,X4) = esk8_3(X2,X3,X4) ) ).
cnf(i_0_682,axiom,
( X1 != X2
| esk8_3(X3,X1,X4) = esk8_3(X3,X2,X4) ) ).
cnf(i_0_683,axiom,
( X1 != X2
| esk8_3(X3,X4,X1) = esk8_3(X3,X4,X2) ) ).
cnf(i_0_684,axiom,
( X1 != X2
| esk3_3(X1,X3,X4) = esk3_3(X2,X3,X4) ) ).
cnf(i_0_685,axiom,
( X1 != X2
| esk3_3(X3,X1,X4) = esk3_3(X3,X2,X4) ) ).
cnf(i_0_686,axiom,
( X1 != X2
| esk3_3(X3,X4,X1) = esk3_3(X3,X4,X2) ) ).
cnf(i_0_687,axiom,
( X1 != X2
| esk78_2(X1,X3) = esk78_2(X2,X3) ) ).
cnf(i_0_688,axiom,
( X1 != X2
| esk78_2(X3,X1) = esk78_2(X3,X2) ) ).
cnf(i_0_689,axiom,
( X1 != X2
| vvar(X1) = vvar(X2) ) ).
cnf(i_0_690,axiom,
( X1 != X2
| esk77_2(X1,X3) = esk77_2(X2,X3) ) ).
cnf(i_0_691,axiom,
( X1 != X2
| esk77_2(X3,X1) = esk77_2(X3,X2) ) ).
cnf(i_0_692,axiom,
( X1 != X2
| esk75_2(X1,X3) = esk75_2(X2,X3) ) ).
cnf(i_0_693,axiom,
( X1 != X2
| esk75_2(X3,X1) = esk75_2(X3,X2) ) ).
cnf(i_0_694,axiom,
( X1 != X2
| esk22_2(X1,X3) = esk22_2(X2,X3) ) ).
cnf(i_0_695,axiom,
( X1 != X2
| esk22_2(X3,X1) = esk22_2(X3,X2) ) ).
cnf(i_0_696,axiom,
( X1 != X2
| esk23_2(X1,X3) = esk23_2(X2,X3) ) ).
cnf(i_0_697,axiom,
( X1 != X2
| esk23_2(X3,X1) = esk23_2(X3,X2) ) ).
cnf(i_0_698,axiom,
( X1 != X2
| vgetSomeType(X1) = vgetSomeType(X2) ) ).
cnf(i_0_699,axiom,
( X1 != X2
| ~ epred1_4(X1,X3,X4,X5)
| epred1_4(X2,X3,X4,X5) ) ).
cnf(i_0_700,axiom,
( X1 != X2
| ~ epred1_4(X3,X1,X4,X5)
| epred1_4(X3,X2,X4,X5) ) ).
cnf(i_0_701,axiom,
( X1 != X2
| ~ epred1_4(X3,X4,X1,X5)
| epred1_4(X3,X4,X2,X5) ) ).
cnf(i_0_702,axiom,
( X1 != X2
| ~ epred1_4(X3,X4,X5,X1)
| epred1_4(X3,X4,X5,X2) ) ).
cnf(i_0_703,axiom,
( X1 != X2
| ~ epred2_4(X1,X3,X4,X5)
| epred2_4(X2,X3,X4,X5) ) ).
cnf(i_0_704,axiom,
( X1 != X2
| ~ epred2_4(X3,X1,X4,X5)
| epred2_4(X3,X2,X4,X5) ) ).
cnf(i_0_705,axiom,
( X1 != X2
| ~ epred2_4(X3,X4,X1,X5)
| epred2_4(X3,X4,X2,X5) ) ).
cnf(i_0_706,axiom,
( X1 != X2
| ~ epred2_4(X3,X4,X5,X1)
| epred2_4(X3,X4,X5,X2) ) ).
cnf(i_0_707,axiom,
( X1 != X2
| ~ visFreeVar(X1,X3)
| visFreeVar(X2,X3) ) ).
cnf(i_0_708,axiom,
( X1 != X2
| ~ visFreeVar(X3,X1)
| visFreeVar(X3,X2) ) ).
cnf(i_0_709,axiom,
( X1 != X2
| ~ visSomeExp(X1)
| visSomeExp(X2) ) ).
cnf(i_0_710,axiom,
( X1 != X2
| ~ vtcheck(X1,X3,X4)
| vtcheck(X2,X3,X4) ) ).
cnf(i_0_711,axiom,
( X1 != X2
| ~ vtcheck(X3,X1,X4)
| vtcheck(X3,X2,X4) ) ).
cnf(i_0_712,axiom,
( X1 != X2
| ~ vtcheck(X3,X4,X1)
| vtcheck(X3,X4,X2) ) ).
cnf(i_0_713,axiom,
( X1 != X2
| ~ epred3_2(X1,X3)
| epred3_2(X2,X3) ) ).
cnf(i_0_714,axiom,
( X1 != X2
| ~ epred3_2(X3,X1)
| epred3_2(X3,X2) ) ).
cnf(i_0_715,axiom,
( X1 != X2
| ~ visValue(X1)
| visValue(X2) ) ).
cnf(i_0_716,axiom,
( X1 != X2
| ~ epred4_2(X1,X3)
| epred4_2(X2,X3) ) ).
cnf(i_0_717,axiom,
( X1 != X2
| ~ epred4_2(X3,X1)
| epred4_2(X3,X2) ) ).
cnf(i_0_718,axiom,
( X1 != X2
| ~ visSomeType(X1)
| visSomeType(X2) ) ).
cnf(i_0_759,plain,
X1 = X1,
inference(equality_inference,[],[494]) ).
cnf(i_0_760,plain,
X1 = X1,
inference(equality_inference,[],[495]) ).
cnf(i_0_761,plain,
X1 = X1,
inference(equality_inference,[],[496]) ).
cnf(i_0_762,plain,
X1 = X1,
inference(equality_inference,[],[497]) ).
cnf(i_0_763,plain,
X1 = X1,
inference(equality_inference,[],[498]) ).
cnf(i_0_764,plain,
X1 = X1,
inference(equality_inference,[],[499]) ).
cnf(i_0_767,plain,
visValue(vabs(X1,X2,X3)),
inference(equality_inference,[],[536]) ).
cnf(i_0_771,plain,
X1 = X1,
inference(equality_inference,[],[549]) ).
cnf(i_0_772,plain,
X1 = X1,
inference(equality_inference,[],[550]) ).
cnf(i_0_773,plain,
X1 = X1,
inference(equality_inference,[],[551]) ).
cnf(i_0_774,plain,
X1 = X1,
inference(equality_inference,[],[552]) ).
cnf(i_0_775,plain,
~ visValue(vapp(X1,X2)),
inference(equality_inference,[],[555]) ).
cnf(i_0_776,plain,
~ visFreeVar(vgensym(X1),X1),
inference(equality_inference,[],[556]) ).
cnf(i_0_778,plain,
~ visValue(vvar(X1)),
inference(equality_inference,[],[563]) ).
cnf(i_0_779,plain,
X1 = X1,
inference(equality_inference,[],[564]) ).
cnf(i_0_780,plain,
X1 = X1,
inference(equality_inference,[],[565]) ).
cnf(i_0_781,plain,
X1 = X1,
inference(equality_inference,[],[566]) ).
cnf(i_0_782,plain,
visSomeExp(vsomeExp(X1)),
inference(equality_inference,[],[567]) ).
cnf(i_0_783,plain,
visSomeType(vsomeType(X1)),
inference(equality_inference,[],[568]) ).
cnf(i_0_784,plain,
~ visSomeExp(vnoExp),
inference(equality_inference,[],[569]) ).
cnf(i_0_785,plain,
~ visSomeType(vnoType),
inference(equality_inference,[],[570]) ).
cnf(i_0_786,plain,
vtcheck(esk33_0,vabs(esk34_0,esk32_0,vapp(ve1,ve2)),varrow(esk32_0,esk36_0)),
inference(scs_inference,[],[i_0_500,i_0_422]) ).
cnf(i_0_789,plain,
vvar(X1) != vabs(X2,X3,X4),
inference(rename_variables,[],[i_0_535]) ).
cnf(i_0_792,plain,
vabs(X1,X2,X3) != vapp(X4,X5),
inference(rename_variables,[],[i_0_529]) ).
cnf(i_0_800,plain,
vvar(X1) != vabs(X2,X3,X4),
inference(rename_variables,[],[i_0_535]) ).
cnf(i_0_804,plain,
vvar(X1) != vapp(X2,X3),
inference(rename_variables,[],[i_0_558]) ).
cnf(i_0_807,plain,
vvar(X1) != vabs(X2,X3,X4),
inference(rename_variables,[],[i_0_535]) ).
cnf(i_0_810,plain,
vvar(X1) != vapp(X2,X3),
inference(rename_variables,[],[i_0_558]) ).
cnf(i_0_813,plain,
vempty != vbind(X1,X2,X3),
inference(rename_variables,[],[i_0_539]) ).
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_821,plain,
vvar(X1) != vabs(X2,X3,X4),
inference(rename_variables,[],[i_0_535]) ).
cnf(i_0_833,plain,
vabs(X1,X2,X3) != vapp(X4,X5),
inference(rename_variables,[],[i_0_529]) ).
cnf(i_0_879,plain,
vvar(X1) != vapp(X2,X3),
inference(rename_variables,[],[i_0_558]) ).
cnf(i_0_898,plain,
vempty != vbind(X1,X2,X3),
inference(rename_variables,[],[i_0_539]) ).
cnf(i_0_986,plain,
vvar(X1) != vapp(X2,X3),
inference(rename_variables,[],[i_0_558]) ).
cnf(i_0_1023,plain,
vabs(X1,X2,X3) != vapp(X4,X5),
inference(rename_variables,[],[i_0_529]) ).
cnf(i_0_1044,plain,
vvar(X1) != vabs(X2,X3,X4),
inference(rename_variables,[],[i_0_535]) ).
cnf(i_0_1055,plain,
vempty != vbind(X1,X2,X3),
inference(rename_variables,[],[i_0_539]) ).
cnf(i_0_1056,plain,
vempty != vbind(X1,X2,X3),
inference(rename_variables,[],[i_0_539]) ).
cnf(i_0_1085,plain,
vvar(X1) != vabs(X2,X3,X4),
inference(rename_variables,[],[i_0_535]) ).
cnf(i_0_1086,plain,
vvar(X1) != vapp(X2,X3),
inference(rename_variables,[],[i_0_558]) ).
cnf(i_0_1089,plain,
vempty != vbind(X1,X2,X3),
inference(rename_variables,[],[i_0_539]) ).
cnf(i_0_1093,plain,
vempty != vbind(X1,X2,X3),
inference(rename_variables,[],[i_0_539]) ).
cnf(i_0_1097,plain,
vempty != vbind(X1,X2,X3),
inference(rename_variables,[],[i_0_539]) ).
cnf(i_0_1101,plain,
vempty != vbind(X1,X2,X3),
inference(rename_variables,[],[i_0_539]) ).
cnf(i_0_1105,plain,
vempty != vbind(X1,X2,X3),
inference(rename_variables,[],[i_0_539]) ).
cnf(i_0_1109,plain,
vempty != vbind(X1,X2,X3),
inference(rename_variables,[],[i_0_539]) ).
cnf(i_0_1125,plain,
vempty != vbind(X1,X2,X3),
inference(rename_variables,[],[i_0_539]) ).
cnf(i_0_1145,plain,
vvar(X1) != vabs(X2,X3,X4),
inference(rename_variables,[],[i_0_535]) ).
cnf(i_0_1146,plain,
vvar(X1) != vapp(X2,X3),
inference(rename_variables,[],[i_0_558]) ).
cnf(i_0_1152,plain,
vvar(X1) != vabs(X2,X3,X4),
inference(rename_variables,[],[i_0_535]) ).
cnf(i_0_1153,plain,
vempty != vbind(X1,X2,X3),
inference(rename_variables,[],[i_0_539]) ).
cnf(i_0_1167,plain,
vnoType != vsomeType(X1),
inference(rename_variables,[],[i_0_572]) ).
cnf(i_0_1168,plain,
vempty != vbind(X1,X2,X3),
inference(rename_variables,[],[i_0_539]) ).
cnf(i_0_1181,plain,
vnoExp != vsomeExp(X1),
inference(rename_variables,[],[i_0_571]) ).
cnf(i_0_1182,plain,
vabs(X1,X2,X3) != vapp(X4,X5),
inference(rename_variables,[],[i_0_529]) ).
cnf(i_0_1185,plain,
vnoExp != vsomeExp(X1),
inference(rename_variables,[],[i_0_571]) ).
cnf(i_0_1186,plain,
vabs(X1,X2,X3) != vapp(X4,X5),
inference(rename_variables,[],[i_0_529]) ).
cnf(i_0_1205,plain,
vempty != vbind(X1,X2,X3),
inference(rename_variables,[],[i_0_539]) ).
cnf(i_0_1214,plain,
vempty != vbind(X1,X2,X3),
inference(rename_variables,[],[i_0_539]) ).
cnf(i_0_1218,plain,
vempty != vbind(X1,X2,X3),
inference(rename_variables,[],[i_0_539]) ).
cnf(i_0_1220,plain,
vvar(X1) != vabs(X2,X3,X4),
inference(rename_variables,[],[i_0_535]) ).
cnf(i_0_1227,plain,
vempty != vbind(X1,X2,X3),
inference(rename_variables,[],[i_0_539]) ).
cnf(i_0_1269,plain,
vvar(X1) != vabs(X2,X3,X4),
inference(rename_variables,[],[i_0_535]) ).
cnf(i_0_1271,plain,
vvar(X1) != vabs(X2,X3,X4),
inference(rename_variables,[],[i_0_535]) ).
cnf(i_0_1273,plain,
vabs(X1,X2,X3) != vapp(X4,X5),
inference(rename_variables,[],[i_0_529]) ).
cnf(i_0_1284,plain,
vvar(X1) != vapp(X2,X3),
inference(rename_variables,[],[i_0_558]) ).
cnf(i_0_1286,plain,
vvar(X1) != vabs(X2,X3,X4),
inference(rename_variables,[],[i_0_535]) ).
cnf(i_0_1287,plain,
vnoType != vsomeType(X1),
inference(rename_variables,[],[i_0_572]) ).
cnf(i_0_1289,plain,
vabs(X1,X2,X3) != vapp(X4,X5),
inference(rename_variables,[],[i_0_529]) ).
cnf(i_0_1300,plain,
vabs(X1,X2,X3) != vapp(X4,X5),
inference(rename_variables,[],[i_0_529]) ).
cnf(i_0_1311,plain,
vabs(X1,X2,X3) != vapp(X4,X5),
inference(rename_variables,[],[i_0_529]) ).
cnf(i_0_1316,plain,
vabs(X1,X2,X3) != vapp(X4,X5),
inference(rename_variables,[],[i_0_529]) ).
cnf(i_0_1327,plain,
vabs(X1,X2,X3) != vapp(X4,X5),
inference(rename_variables,[],[i_0_529]) ).
cnf(i_0_1332,plain,
vnoExp != vsomeExp(X1),
inference(rename_variables,[],[i_0_571]) ).
cnf(i_0_1333,plain,
vvar(X1) != vapp(X2,X3),
inference(rename_variables,[],[i_0_558]) ).
cnf(i_0_1336,plain,
vnoExp != vsomeExp(X1),
inference(rename_variables,[],[i_0_571]) ).
cnf(i_0_1337,plain,
vvar(X1) != vabs(X2,X3,X4),
inference(rename_variables,[],[i_0_535]) ).
cnf(i_0_1338,plain,
vvar(X1) != vapp(X2,X3),
inference(rename_variables,[],[i_0_558]) ).
cnf(i_0_1345,plain,
vempty != vbind(X1,X2,X3),
inference(rename_variables,[],[i_0_539]) ).
cnf(i_0_1347,plain,
vempty != vbind(X1,X2,X3),
inference(rename_variables,[],[i_0_539]) ).
cnf(i_0_1348,plain,
vvar(X1) != vabs(X2,X3,X4),
inference(rename_variables,[],[i_0_535]) ).
cnf(i_0_1368,plain,
vvar(X1) != vapp(X2,X3),
inference(rename_variables,[],[i_0_558]) ).
cnf(i_0_1387,plain,
vvar(X1) != vapp(X2,X3),
inference(rename_variables,[],[i_0_558]) ).
cnf(i_0_1398,plain,
vvar(X1) != vapp(X2,X3),
inference(rename_variables,[],[i_0_558]) ).
cnf(i_0_1409,plain,
vvar(X1) != vapp(X2,X3),
inference(rename_variables,[],[i_0_558]) ).
cnf(i_0_1420,plain,
vvar(X1) != vapp(X2,X3),
inference(rename_variables,[],[i_0_558]) ).
cnf(i_0_1430,plain,
vabs(X1,X2,X3) != vapp(X4,X5),
inference(rename_variables,[],[i_0_529]) ).
cnf(i_0_1453,plain,
vnoType != vsomeType(X1),
inference(rename_variables,[],[i_0_572]) ).
cnf(i_0_1454,plain,
vnoType != vsomeType(X1),
inference(rename_variables,[],[i_0_572]) ).
cnf(i_0_1474,plain,
vempty != vbind(X1,X2,X3),
inference(rename_variables,[],[i_0_539]) ).
cnf(i_0_1476,plain,
vempty != vbind(X1,X2,X3),
inference(rename_variables,[],[i_0_539]) ).
cnf(i_0_1477,plain,
vvar(X1) != vabs(X2,X3,X4),
inference(rename_variables,[],[i_0_535]) ).
cnf(i_0_1492,plain,
vabs(X1,X2,X3) != vapp(X4,X5),
inference(rename_variables,[],[i_0_529]) ).
cnf(i_0_1496,plain,
vnoType != vsomeType(X1),
inference(rename_variables,[],[i_0_572]) ).
cnf(i_0_1502,plain,
vvar(X1) != vapp(X2,X3),
inference(rename_variables,[],[i_0_558]) ).
cnf(i_0_1503,plain,
vvar(X1) != vabs(X2,X3,X4),
inference(rename_variables,[],[i_0_535]) ).
cnf(i_0_1527,plain,
vvar(X1) != vapp(X2,X3),
inference(rename_variables,[],[i_0_558]) ).
cnf(i_0_1528,plain,
vvar(X1) != vabs(X2,X3,X4),
inference(rename_variables,[],[i_0_535]) ).
cnf(i_0_1532,plain,
vvar(X1) != vapp(X2,X3),
inference(rename_variables,[],[i_0_558]) ).
cnf(i_0_1533,plain,
vvar(X1) != vabs(X2,X3,X4),
inference(rename_variables,[],[i_0_535]) ).
cnf(i_0_1549,plain,
vempty != vbind(X1,X2,X3),
inference(rename_variables,[],[i_0_539]) ).
cnf(i_0_1552,plain,
vempty != vbind(X1,X2,X3),
inference(rename_variables,[],[i_0_539]) ).
cnf(i_0_1554,plain,
vempty != vbind(X1,X2,X3),
inference(rename_variables,[],[i_0_539]) ).
cnf(i_0_1556,plain,
vnoType != vsomeType(X1),
inference(rename_variables,[],[i_0_572]) ).
cnf(i_0_1571,plain,
vempty != vbind(X1,X2,X3),
inference(rename_variables,[],[i_0_539]) ).
cnf(i_0_1582,plain,
vempty != vbind(X1,X2,X3),
inference(rename_variables,[],[i_0_539]) ).
cnf(i_0_1588,plain,
vabs(X1,X2,X3) != vapp(X4,X5),
inference(rename_variables,[],[i_0_529]) ).
cnf(i_0_1590,plain,
vvar(X1) != vabs(X2,X3,X4),
inference(rename_variables,[],[i_0_535]) ).
cnf(i_0_1600,plain,
vempty != vbind(X1,X2,X3),
inference(rename_variables,[],[i_0_539]) ).
cnf(i_0_1603,plain,
vnoType != vsomeType(X1),
inference(rename_variables,[],[i_0_572]) ).
cnf(i_0_1604,plain,
vempty != vbind(X1,X2,X3),
inference(rename_variables,[],[i_0_539]) ).
cnf(i_0_1647,plain,
vempty != vbind(X1,X2,X3),
inference(rename_variables,[],[i_0_539]) ).
cnf(i_0_1754,plain,
vempty != vbind(X1,X2,X3),
inference(rename_variables,[],[i_0_539]) ).
cnf(i_0_1835,plain,
vempty != vbind(X1,X2,X3),
inference(rename_variables,[],[i_0_539]) ).
cnf(i_0_1836,plain,
vempty != vbind(X1,X2,X3),
inference(rename_variables,[],[i_0_539]) ).
cnf(i_0_1849,plain,
vempty != vbind(X1,X2,X3),
inference(rename_variables,[],[i_0_539]) ).
cnf(i_0_1872,plain,
vvar(X1) != vapp(X2,X3),
inference(rename_variables,[],[i_0_558]) ).
cnf(i_0_1876,plain,
vvar(X1) != vapp(X2,X3),
inference(rename_variables,[],[i_0_558]) ).
cnf(i_0_1877,plain,
vvar(X1) != vabs(X2,X3,X4),
inference(rename_variables,[],[i_0_535]) ).
cnf(i_0_1886,plain,
vvar(X1) != vapp(X2,X3),
inference(rename_variables,[],[i_0_558]) ).
cnf(i_0_1921,plain,
vabs(X1,X2,X3) != vapp(X4,X5),
inference(rename_variables,[],[i_0_529]) ).
cnf(i_0_1959,plain,
vempty != vbind(X1,X2,X3),
inference(rename_variables,[],[i_0_539]) ).
cnf(i_0_1970,plain,
vempty != vbind(X1,X2,X3),
inference(rename_variables,[],[i_0_539]) ).
cnf(i_0_1975,plain,
vempty != vbind(X1,X2,X3),
inference(rename_variables,[],[i_0_539]) ).
cnf(i_0_1986,plain,
vvar(X1) != vapp(X2,X3),
inference(rename_variables,[],[i_0_558]) ).
cnf(i_0_2004,plain,
vvar(X1) != vapp(X2,X3),
inference(rename_variables,[],[i_0_558]) ).
cnf(i_0_2005,plain,
vvar(X1) != vabs(X2,X3,X4),
inference(rename_variables,[],[i_0_535]) ).
cnf(i_0_2037,plain,
vvar(X1) != vapp(X2,X3),
inference(rename_variables,[],[i_0_558]) ).
cnf(i_0_2038,plain,
vvar(X1) != vabs(X2,X3,X4),
inference(rename_variables,[],[i_0_535]) ).
cnf(i_0_2046,plain,
vempty != vbind(X1,X2,X3),
inference(rename_variables,[],[i_0_539]) ).
cnf(i_0_2047,plain,
vempty != vbind(X1,X2,X3),
inference(rename_variables,[],[i_0_539]) ).
cnf(i_0_2053,plain,
vvar(X1) != vabs(X2,X3,X4),
inference(rename_variables,[],[i_0_535]) ).
cnf(i_0_2054,plain,
vvar(X1) != vapp(X2,X3),
inference(rename_variables,[],[i_0_558]) ).
cnf(i_0_2059,plain,
vvar(X1) != vapp(X2,X3),
inference(rename_variables,[],[i_0_558]) ).
cnf(i_0_2061,plain,
vabs(X1,X2,X3) != vapp(X4,X5),
inference(rename_variables,[],[i_0_529]) ).
cnf(i_0_2062,plain,
vvar(X1) != vabs(X2,X3,X4),
inference(rename_variables,[],[i_0_535]) ).
cnf(i_0_2070,plain,
vnoExp != vsomeExp(X1),
inference(rename_variables,[],[i_0_571]) ).
cnf(i_0_2071,plain,
vvar(X1) != vabs(X2,X3,X4),
inference(rename_variables,[],[i_0_535]) ).
cnf(i_0_2072,plain,
vvar(X1) != vapp(X2,X3),
inference(rename_variables,[],[i_0_558]) ).
cnf(i_0_2080,plain,
vvar(X1) != vabs(X2,X3,X4),
inference(rename_variables,[],[i_0_535]) ).
cnf(i_0_2099,plain,
vvar(X1) != vabs(X2,X3,X4),
inference(rename_variables,[],[i_0_535]) ).
cnf(i_0_2100,plain,
vvar(X1) != vabs(X2,X3,X4),
inference(rename_variables,[],[i_0_535]) ).
cnf(i_0_2111,plain,
vnoExp != vsomeExp(X1),
inference(rename_variables,[],[i_0_571]) ).
cnf(i_0_2112,plain,
vnoExp != vsomeExp(X1),
inference(rename_variables,[],[i_0_571]) ).
cnf(i_0_2114,plain,
vnoExp != vsomeExp(X1),
inference(rename_variables,[],[i_0_571]) ).
cnf(i_0_2119,plain,
vempty != vbind(X1,X2,X3),
inference(rename_variables,[],[i_0_539]) ).
cnf(i_0_2149,plain,
vvar(X1) != vabs(X2,X3,X4),
inference(rename_variables,[],[i_0_535]) ).
cnf(i_0_2150,plain,
vvar(X1) != vabs(X2,X3,X4),
inference(rename_variables,[],[i_0_535]) ).
cnf(i_0_2160,plain,
vnoExp != vsomeExp(X1),
inference(rename_variables,[],[i_0_571]) ).
cnf(i_0_2161,plain,
vnoExp != vsomeExp(X1),
inference(rename_variables,[],[i_0_571]) ).
cnf(i_0_2172,plain,
vnoExp != vsomeExp(X1),
inference(rename_variables,[],[i_0_571]) ).
cnf(i_0_2203,plain,
vvar(X1) != vapp(X2,X3),
inference(rename_variables,[],[i_0_558]) ).
cnf(i_0_2249,plain,
vempty != vbind(X1,X2,X3),
inference(rename_variables,[],[i_0_539]) ).
cnf(i_0_2256,plain,
vempty != vbind(X1,X2,X3),
inference(rename_variables,[],[i_0_539]) ).
cnf(i_0_2257,plain,
vempty != vbind(X1,X2,X3),
inference(rename_variables,[],[i_0_539]) ).
cnf(i_0_2285,plain,
vvar(X1) != vabs(X2,X3,X4),
inference(rename_variables,[],[i_0_535]) ).
cnf(i_0_2286,plain,
vvar(X1) != vabs(X2,X3,X4),
inference(rename_variables,[],[i_0_535]) ).
cnf(i_0_2289,plain,
vabs(X1,X2,X3) != vapp(X4,X5),
inference(rename_variables,[],[i_0_529]) ).
cnf(i_0_2301,plain,
vempty != vbind(X1,X2,X3),
inference(rename_variables,[],[i_0_539]) ).
cnf(i_0_2306,plain,
vvar(X1) != vabs(X2,X3,X4),
inference(rename_variables,[],[i_0_535]) ).
cnf(i_0_2339,plain,
vvar(X1) != vapp(X2,X3),
inference(rename_variables,[],[i_0_558]) ).
cnf(i_0_2350,plain,
vempty != vbind(X1,X2,X3),
inference(rename_variables,[],[i_0_539]) ).
cnf(i_0_2396,plain,
vabs(X1,X2,X3) != vapp(X4,X5),
inference(rename_variables,[],[i_0_529]) ).
cnf(i_0_2404,plain,
vnoExp != vsomeExp(X1),
inference(rename_variables,[],[i_0_571]) ).
cnf(i_0_2413,plain,
vvar(X1) != vabs(X2,X3,X4),
inference(rename_variables,[],[i_0_535]) ).
cnf(i_0_2414,plain,
vvar(X1) != vapp(X2,X3),
inference(rename_variables,[],[i_0_558]) ).
cnf(i_0_2415,plain,
vempty != vbind(X1,X2,X3),
inference(rename_variables,[],[i_0_539]) ).
cnf(i_0_2417,plain,
vempty != vbind(X1,X2,X3),
inference(rename_variables,[],[i_0_539]) ).
cnf(i_0_2419,plain,
vempty != vbind(X1,X2,X3),
inference(rename_variables,[],[i_0_539]) ).
cnf(i_0_2447,plain,
vempty != vbind(X1,X2,X3),
inference(rename_variables,[],[i_0_539]) ).
cnf(i_0_2479,plain,
vvar(X1) != vabs(X2,X3,X4),
inference(rename_variables,[],[i_0_535]) ).
cnf(i_0_2522,plain,
vempty != vbind(X1,X2,X3),
inference(rename_variables,[],[i_0_539]) ).
cnf(i_0_2536,plain,
vnoExp != vsomeExp(X1),
inference(rename_variables,[],[i_0_571]) ).
cnf(i_0_2544,plain,
vvar(X1) != vabs(X2,X3,X4),
inference(rename_variables,[],[i_0_535]) ).
cnf(i_0_2575,plain,
vempty != vbind(X1,X2,X3),
inference(rename_variables,[],[i_0_539]) ).
cnf(i_0_2578,plain,
vvar(X1) != vabs(X2,X3,X4),
inference(rename_variables,[],[i_0_535]) ).
cnf(i_0_2604,plain,
vnoExp != vsomeExp(X1),
inference(rename_variables,[],[i_0_571]) ).
cnf(i_0_2606,plain,
vnoExp != vsomeExp(X1),
inference(rename_variables,[],[i_0_571]) ).
cnf(i_0_2607,plain,
vnoExp != vsomeExp(X1),
inference(rename_variables,[],[i_0_571]) ).
cnf(i_0_2654,plain,
vnoType != vsomeType(X1),
inference(rename_variables,[],[i_0_572]) ).
cnf(i_0_2699,plain,
vvar(X1) != vabs(X2,X3,X4),
inference(rename_variables,[],[i_0_535]) ).
cnf(i_0_2700,plain,
vvar(X1) != vabs(X2,X3,X4),
inference(rename_variables,[],[i_0_535]) ).
cnf(i_0_2701,plain,
vnoType != vsomeType(X1),
inference(rename_variables,[],[i_0_572]) ).
cnf(i_0_2733,plain,
vnoExp != vsomeExp(X1),
inference(rename_variables,[],[i_0_571]) ).
cnf(i_0_2735,plain,
vnoExp != vsomeExp(X1),
inference(rename_variables,[],[i_0_571]) ).
cnf(i_0_2736,plain,
vnoExp != vsomeExp(X1),
inference(rename_variables,[],[i_0_571]) ).
cnf(i_0_2754,plain,
vnoType != vsomeType(X1),
inference(rename_variables,[],[i_0_572]) ).
cnf(i_0_2767,plain,
vnoExp != vsomeExp(X1),
inference(rename_variables,[],[i_0_571]) ).
cnf(i_0_2768,plain,
vvar(X1) != vabs(X2,X3,X4),
inference(rename_variables,[],[i_0_535]) ).
cnf(i_0_2773,plain,
vvar(X1) != vabs(X2,X3,X4),
inference(rename_variables,[],[i_0_535]) ).
cnf(i_0_2774,plain,
vvar(X1) != vabs(X2,X3,X4),
inference(rename_variables,[],[i_0_535]) ).
cnf(i_0_2812,plain,
vnoExp != vsomeExp(X1),
inference(rename_variables,[],[i_0_571]) ).
cnf(i_0_2813,plain,
vnoExp != vsomeExp(X1),
inference(rename_variables,[],[i_0_571]) ).
cnf(i_0_2823,plain,
vnoExp != vsomeExp(X1),
inference(rename_variables,[],[i_0_571]) ).
cnf(i_0_2850,plain,
vvar(X1) != vabs(X2,X3,X4),
inference(rename_variables,[],[i_0_535]) ).
cnf(i_0_2851,plain,
vvar(X1) != vabs(X2,X3,X4),
inference(rename_variables,[],[i_0_535]) ).
cnf(i_0_2852,plain,
vnoType != vsomeType(X1),
inference(rename_variables,[],[i_0_572]) ).
cnf(i_0_2875,plain,
vnoExp != vsomeExp(X1),
inference(rename_variables,[],[i_0_571]) ).
cnf(i_0_2959,plain,
vabs(X1,X2,X3) != vapp(X4,X5),
inference(rename_variables,[],[i_0_529]) ).
cnf(i_0_3485,plain,
vabs(X1,X2,X3) != vapp(X4,X5),
inference(rename_variables,[],[i_0_529]) ).
cnf(i_0_3489,plain,
vabs(X1,X2,X3) != vapp(X4,X5),
inference(rename_variables,[],[i_0_529]) ).
cnf(i_0_3505,plain,
vvar(X1) != vapp(X2,X3),
inference(rename_variables,[],[i_0_558]) ).
cnf(i_0_3507,plain,
vvar(X1) != vabs(X2,X3,X4),
inference(rename_variables,[],[i_0_535]) ).
cnf(i_0_3508,plain,
vnoExp != vsomeExp(X1),
inference(rename_variables,[],[i_0_571]) ).
cnf(i_0_3531,plain,
vvar(X1) != vabs(X2,X3,X4),
inference(rename_variables,[],[i_0_535]) ).
cnf(i_0_3532,plain,
vvar(X1) != vapp(X2,X3),
inference(rename_variables,[],[i_0_558]) ).
cnf(i_0_3712,plain,
vvar(X1) != vabs(X2,X3,X4),
inference(rename_variables,[],[i_0_535]) ).
cnf(i_0_3756,plain,
vempty != vbind(X1,X2,X3),
inference(rename_variables,[],[i_0_539]) ).
cnf(i_0_3771,plain,
vvar(X1) != vabs(X2,X3,X4),
inference(rename_variables,[],[i_0_535]) ).
cnf(i_0_3772,plain,
vvar(X1) != vapp(X2,X3),
inference(rename_variables,[],[i_0_558]) ).
cnf(i_0_788,plain,
epred2_4(vsubst(X1,X2,vvar(X3)),vvar(X3),X2,X1),
inference(scs_inference,[],[i_0_500,i_0_535,i_0_422,i_0_721]) ).
cnf(i_0_791,plain,
epred4_2(vreduce(vabs(X1,X2,X3)),vabs(X1,X2,X3)),
inference(scs_inference,[],[i_0_500,i_0_529,i_0_535,i_0_422,i_0_721,i_0_768]) ).
cnf(i_0_794,plain,
vsomeExp(X1) != vnoExp,
inference(scs_inference,[],[i_0_500,i_0_782,i_0_529,i_0_535,i_0_784,i_0_422,i_0_721,i_0_768,i_0_709]) ).
cnf(i_0_795,plain,
vsomeType(X1) != vnoType,
inference(scs_inference,[],[i_0_500,i_0_782,i_0_783,i_0_529,i_0_535,i_0_784,i_0_785,i_0_422,i_0_721,i_0_768,i_0_709,i_0_718]) ).
cnf(i_0_799,plain,
~ visFreeVar(vgensym(X1),X1),
inference(rename_variables,[],[i_0_776]) ).
cnf(i_0_803,plain,
epred4_2(vreduce(vvar(X1)),vvar(X1)),
inference(scs_inference,[],[i_0_558,i_0_768]) ).
cnf(i_0_818,plain,
X1 = esk1_3(X1,vempty,vlookup(X1,vempty)),
inference(scs_inference,[],[i_0_558,i_0_804,i_0_539,i_0_813,i_0_816,i_0_535,i_0_768,i_0_291,i_0_537,i_0_722,i_0_726,i_0_575]) ).
cnf(i_0_837,plain,
~ visFreeVar(vgensym(X1),X1),
inference(rename_variables,[],[i_0_776]) ).
cnf(i_0_920,plain,
~ visFreeVar(vgensym(X1),X1),
inference(rename_variables,[],[i_0_776]) ).
cnf(i_0_951,plain,
~ visFreeVar(vgensym(X1),X1),
inference(rename_variables,[],[i_0_776]) ).
cnf(i_0_2211,plain,
~ visFreeVar(vgensym(X1),X1),
inference(rename_variables,[],[i_0_776]) ).
cnf(i_0_2215,plain,
~ visFreeVar(vgensym(X1),X1),
inference(rename_variables,[],[i_0_776]) ).
cnf(i_0_2220,plain,
~ visFreeVar(vgensym(X1),X1),
inference(rename_variables,[],[i_0_776]) ).
cnf(i_0_2225,plain,
~ visFreeVar(vgensym(X1),X1),
inference(rename_variables,[],[i_0_776]) ).
cnf(i_0_2346,plain,
visValue(vabs(X1,X2,X3)),
inference(rename_variables,[],[i_0_767]) ).
cnf(i_0_2407,plain,
visValue(vabs(X1,X2,X3)),
inference(rename_variables,[],[i_0_767]) ).
cnf(i_0_2964,plain,
~ visFreeVar(vgensym(X1),X1),
inference(rename_variables,[],[i_0_776]) ).
cnf(i_0_2972,plain,
~ visFreeVar(vgensym(X1),X1),
inference(rename_variables,[],[i_0_776]) ).
cnf(i_0_2977,plain,
~ visFreeVar(vgensym(X1),X1),
inference(rename_variables,[],[i_0_776]) ).
cnf(i_0_823,plain,
epred2_4(vsubst(X1,X2,vvar(X3)),vvar(X3),X2,X1),
inference(equality_inference,[],[806]) ).
cnf(i_0_824,plain,
epred4_2(vreduce(vvar(X1)),vvar(X1)),
inference(equality_inference,[],[809]) ).
cnf(i_0_825,plain,
~ visFreeVar(esk1_3(vgensym(X1),vempty,vlookup(vgensym(X1),vempty)),X1),
inference(scs_inference,[],[i_0_818,i_0_556]) ).
cnf(i_0_826,plain,
X1 = esk1_3(X1,vempty,vlookup(X1,vempty)),
inference(rename_variables,[],[i_0_818]) ).
cnf(i_0_829,plain,
X1 = esk1_3(X1,vempty,vlookup(X1,vempty)),
inference(rename_variables,[],[i_0_818]) ).
cnf(i_0_834,plain,
X1 = esk1_3(X1,vempty,vlookup(X1,vempty)),
inference(rename_variables,[],[i_0_818]) ).
cnf(i_0_839,plain,
X1 = esk1_3(X1,vempty,vlookup(X1,vempty)),
inference(rename_variables,[],[i_0_818]) ).
cnf(i_0_842,plain,
X1 = esk1_3(X1,vempty,vlookup(X1,vempty)),
inference(rename_variables,[],[i_0_818]) ).
cnf(i_0_845,plain,
X1 = esk1_3(X1,vempty,vlookup(X1,vempty)),
inference(rename_variables,[],[i_0_818]) ).
cnf(i_0_850,plain,
X1 = esk1_3(X1,vempty,vlookup(X1,vempty)),
inference(rename_variables,[],[i_0_818]) ).
cnf(i_0_880,plain,
X1 = esk1_3(X1,vempty,vlookup(X1,vempty)),
inference(rename_variables,[],[i_0_818]) ).
cnf(i_0_899,plain,
X1 = esk1_3(X1,vempty,vlookup(X1,vempty)),
inference(rename_variables,[],[i_0_818]) ).
cnf(i_0_900,plain,
X1 = esk1_3(X1,vempty,vlookup(X1,vempty)),
inference(rename_variables,[],[i_0_818]) ).
cnf(i_0_901,plain,
X1 = esk1_3(X1,vempty,vlookup(X1,vempty)),
inference(rename_variables,[],[i_0_818]) ).
cnf(i_0_971,plain,
X1 = esk1_3(X1,vempty,vlookup(X1,vempty)),
inference(rename_variables,[],[i_0_818]) ).
cnf(i_0_973,plain,
X1 = esk1_3(X1,vempty,vlookup(X1,vempty)),
inference(rename_variables,[],[i_0_818]) ).
cnf(i_0_975,plain,
X1 = esk1_3(X1,vempty,vlookup(X1,vempty)),
inference(rename_variables,[],[i_0_818]) ).
cnf(i_0_977,plain,
X1 = esk1_3(X1,vempty,vlookup(X1,vempty)),
inference(rename_variables,[],[i_0_818]) ).
cnf(i_0_983,plain,
X1 = esk1_3(X1,vempty,vlookup(X1,vempty)),
inference(rename_variables,[],[i_0_818]) ).
cnf(i_0_1011,plain,
X1 = esk1_3(X1,vempty,vlookup(X1,vempty)),
inference(rename_variables,[],[i_0_818]) ).
cnf(i_0_1017,plain,
X1 = esk1_3(X1,vempty,vlookup(X1,vempty)),
inference(rename_variables,[],[i_0_818]) ).
cnf(c_0_573,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_360 ).
cnf(c_0_574,negated_conjecture,
vtcheck(vbind(esk34_0,esk32_0,esk33_0),vapp(ve1,ve2),esk36_0),
i_0_500 ).
cnf(c_0_575,plain,
vabs(X1,X2,X3) != vapp(X4,X5),
i_0_529 ).
cnf(c_0_576,plain,
vvar(X1) != vapp(X2,X3),
i_0_558 ).
cnf(c_0_577,plain,
( X1 = X2
| vapp(X1,X3) != vapp(X2,X4) ),
i_0_551 ).
cnf(c_0_578,negated_conjecture,
vapp(esk29_3(vapp(ve1,ve2),esk36_0,vbind(esk34_0,esk32_0,esk33_0)),esk30_3(vapp(ve1,ve2),esk36_0,vbind(esk34_0,esk32_0,esk33_0))) = vapp(ve1,ve2),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_573,c_0_574]),c_0_575]),c_0_576]) ).
cnf(c_0_579,plain,
( esk29_3(vapp(ve1,ve2),esk36_0,vbind(esk34_0,esk32_0,esk33_0)) = X1
| vapp(ve1,ve2) != vapp(X1,X2) ),
inference(spm,[status(thm)],[c_0_577,c_0_578]) ).
cnf(c_0_580,plain,
esk29_3(vapp(ve1,ve2),esk36_0,vbind(esk34_0,esk32_0,esk33_0)) = ve1,
inference(er,[status(thm)],[c_0_579]) ).
cnf(c_0_581,plain,
( X1 = X2
| vapp(X3,X1) != vapp(X4,X2) ),
i_0_552 ).
cnf(c_0_582,negated_conjecture,
vapp(ve1,esk30_3(vapp(ve1,ve2),esk36_0,vbind(esk34_0,esk32_0,esk33_0))) = vapp(ve1,ve2),
inference(rw,[status(thm)],[c_0_578,c_0_580]) ).
cnf(c_0_583,plain,
( vtcheck(X1,esk29_3(X2,X3,X1),varrow(esk31_3(X2,X3,X1),X3))
| X2 = vabs(esk25_3(X2,X3,X1),esk27_3(X2,X3,X1),esk26_3(X2,X3,X1))
| X2 = vvar(esk24_3(X2,X3,X1))
| ~ vtcheck(X1,X2,X3) ),
i_0_339 ).
cnf(c_0_584,plain,
( vtcheck(X1,esk30_3(X2,X3,X1),esk31_3(X2,X3,X1))
| X2 = vabs(esk25_3(X2,X3,X1),esk27_3(X2,X3,X1),esk26_3(X2,X3,X1))
| X2 = vvar(esk24_3(X2,X3,X1))
| ~ vtcheck(X1,X2,X3) ),
i_0_355 ).
cnf(c_0_585,plain,
( esk30_3(vapp(ve1,ve2),esk36_0,vbind(esk34_0,esk32_0,esk33_0)) = X1
| vapp(ve1,ve2) != vapp(X2,X1) ),
inference(spm,[status(thm)],[c_0_581,c_0_582]) ).
cnf(c_0_586,plain,
( vtcheck(X1,vsubst(X2,X3,ve1),X4)
| ~ vtcheck(X1,X3,X5)
| ~ vtcheck(vbind(X2,X5,X1),ve1,X4) ),
i_0_410 ).
cnf(c_0_587,negated_conjecture,
vtcheck(vbind(esk34_0,esk32_0,esk33_0),ve1,varrow(esk31_3(vapp(ve1,ve2),esk36_0,vbind(esk34_0,esk32_0,esk33_0)),esk36_0)),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_583,c_0_574]),c_0_580]),c_0_575]),c_0_576]) ).
cnf(c_0_588,negated_conjecture,
vtcheck(vbind(esk34_0,esk32_0,esk33_0),esk30_3(vapp(ve1,ve2),esk36_0,vbind(esk34_0,esk32_0,esk33_0)),esk31_3(vapp(ve1,ve2),esk36_0,vbind(esk34_0,esk32_0,esk33_0))),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_584,c_0_574]),c_0_575]),c_0_576]) ).
cnf(c_0_589,plain,
esk30_3(vapp(ve1,ve2),esk36_0,vbind(esk34_0,esk32_0,esk33_0)) = ve2,
inference(er,[status(thm)],[c_0_585]) ).
cnf(c_0_590,plain,
( vtcheck(X1,vapp(X2,X3),X4)
| ~ vtcheck(X1,X2,varrow(X5,X4))
| ~ vtcheck(X1,X3,X5) ),
i_0_461 ).
cnf(c_0_591,plain,
( vtcheck(esk33_0,vsubst(esk34_0,X1,ve1),varrow(esk31_3(vapp(ve1,ve2),esk36_0,vbind(esk34_0,esk32_0,esk33_0)),esk36_0))
| ~ vtcheck(esk33_0,X1,esk32_0) ),
inference(spm,[status(thm)],[c_0_586,c_0_587]) ).
cnf(c_0_592,plain,
( vtcheck(X1,vsubst(X2,X3,ve2),X4)
| ~ vtcheck(X1,X3,X5)
| ~ vtcheck(vbind(X2,X5,X1),ve2,X4) ),
i_0_409 ).
cnf(c_0_593,negated_conjecture,
vtcheck(vbind(esk34_0,esk32_0,esk33_0),ve2,esk31_3(vapp(ve1,ve2),esk36_0,vbind(esk34_0,esk32_0,esk33_0))),
inference(rw,[status(thm)],[c_0_588,c_0_589]) ).
cnf(c_0_594,plain,
( vtcheck(esk33_0,vapp(vsubst(esk34_0,X1,ve1),X2),esk36_0)
| ~ vtcheck(esk33_0,X2,esk31_3(vapp(ve1,ve2),esk36_0,vbind(esk34_0,esk32_0,esk33_0)))
| ~ vtcheck(esk33_0,X1,esk32_0) ),
inference(spm,[status(thm)],[c_0_590,c_0_591]) ).
cnf(c_0_595,plain,
( vtcheck(esk33_0,vsubst(esk34_0,X1,ve2),esk31_3(vapp(ve1,ve2),esk36_0,vbind(esk34_0,esk32_0,esk33_0)))
| ~ vtcheck(esk33_0,X1,esk32_0) ),
inference(spm,[status(thm)],[c_0_592,c_0_593]) ).
cnf(c_0_596,plain,
( X1 = vapp(vsubst(X2,X3,X4),vsubst(X2,X3,X5))
| X6 != X2
| X7 != X3
| X8 != vapp(X4,X5)
| X1 != vsubst(X6,X7,X8) ),
i_0_448 ).
cnf(c_0_597,plain,
( vtcheck(esk33_0,vapp(vsubst(esk34_0,X1,ve1),vsubst(esk34_0,X2,ve2)),esk36_0)
| ~ vtcheck(esk33_0,X1,esk32_0)
| ~ vtcheck(esk33_0,X2,esk32_0) ),
inference(spm,[status(thm)],[c_0_594,c_0_595]) ).
cnf(c_0_598,plain,
vapp(vsubst(X1,X2,X3),vsubst(X1,X2,X4)) = vsubst(X1,X2,vapp(X3,X4)),
inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_596])])])]) ).
cnf(c_0_599,negated_conjecture,
~ vtcheck(esk33_0,vsubst(esk34_0,esk35_0,vapp(ve1,ve2)),esk36_0),
i_0_460 ).
cnf(c_0_600,plain,
( vtcheck(esk33_0,vsubst(esk34_0,X1,vapp(ve1,ve2)),esk36_0)
| ~ vtcheck(esk33_0,X1,esk32_0) ),
inference(spm,[status(thm)],[c_0_597,c_0_598]) ).
cnf(c_0_601,negated_conjecture,
vtcheck(esk33_0,esk35_0,esk32_0),
i_0_548 ).
cnf(c_0_602,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_599,c_0_600]),c_0_601])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : COM134+1 : TPTP v9.2.1. Released v6.4.0.
% 0.00/0.12 % Command : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.15/0.33 % Computer : n019.cluster.edu
% 0.15/0.33 % Model : x86_64 x86_64
% 0.15/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.33 % Memory : 8042.1875MB
% 0.15/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.33 % CPULimit : 300
% 0.15/0.33 % WCLimit : 300
% 0.15/0.33 % DateTime : Mon May 4 16:22:14 EDT 2026
% 0.15/0.33 % CPUTime :
% 0.15/0.34 % start to proof: theBenchmark
% 135.09/98.14 % Version : CSE_E---1.7
% 135.09/98.14 % Problem : theBenchmark.p
% 135.09/98.14 % SZS status Theorem for theBenchmark.p
% 135.09/98.14 % SZS output start CNFRefutation
% See solution above
% 149.46/112.58 % Total time : 97.169s
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