%------------------------------------------------------------------------------
% File : ConnectPP---0.7.2
% Problem : COM125+1 : TPTP v9.3.1. Released v6.4.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/connect++ --verbosity 1 --no-colour --tptp-proof --schedule default --timeout 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n010.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 08:14:52 AM UTC 2026
% Result : Theorem 32.66s 32.98s
% Output : Proof 32.66s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : COM125+1 : TPTP v9.3.1. Released v6.4.0.
% 0.00/0.03 This is a FOF_THM_RFO_SEQ problem
% 0.00/0.04 % Command : /export/starexec/sandbox2/solver/bin/connect++ --verbosity 1 --no-colour --tptp-proof --schedule default --timeout 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.36 % Computer : n010.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Sun Sep 20 15:23:09 UTC 2026
% 0.10/0.36 % CPUTime :
% 32.66/32.98 % SZS status Theorem for theBenchmark
% 32.66/32.98 % SZS output start Proof for theBenchmark
% 32.66/32.99 fof(EQ-var, axiom,
% 32.66/32.99 ! [ VVar0,VVar1 ] : ( ( vvar(VVar0) = vvar(VVar1) => VVar0 = VVar1 ) & ( VVar0 = VVar1 => vvar(VVar0) = vvar(VVar1) ) ),
% 32.66/32.99 file('COM001+0.ax', EQ-var) ).
% 32.66/32.99
% 32.66/32.99 fof(EQ-abs, axiom,
% 32.66/32.99 ! [ VVar0,VTyp0,VExp0,VVar1,VTyp1,VExp1 ] : ( ( vabs(VVar0, VTyp0, VExp0) = vabs(VVar1, VTyp1, VExp1) => ( VVar0 = VVar1 & VTyp0 = VTyp1 & VExp0 = VExp1 ) ) & ( ( VVar0 = VVar1 & VTyp0 = VTyp1 & VExp0 = VExp1 ) => vabs(VVar0, VTyp0, VExp0) = vabs(VVar1, VTyp1, VExp1) ) ),
% 32.66/32.99 file('COM001+0.ax', EQ-abs) ).
% 32.66/32.99
% 32.66/32.99 fof(EQ-app, axiom,
% 32.66/32.99 ! [ VExp0,VExp1,VExp2,VExp3 ] : ( ( vapp(VExp0, VExp1) = vapp(VExp2, VExp3) => ( VExp0 = VExp2 & VExp1 = VExp3 ) ) & ( ( VExp0 = VExp2 & VExp1 = VExp3 ) => vapp(VExp0, VExp1) = vapp(VExp2, VExp3) ) ),
% 32.66/32.99 file('COM001+0.ax', EQ-app) ).
% 32.66/32.99
% 32.66/32.99 fof(DIFF-var-abs, axiom,
% 32.66/32.99 ! [ VVar0,VVar1,VTyp0,VExp0 ] : ~( vvar(VVar0) = vabs(VVar1, VTyp0, VExp0) ),
% 32.66/32.99 file('COM001+0.ax', DIFF-var-abs) ).
% 32.66/32.99
% 32.66/32.99 fof(DIFF-var-app, axiom,
% 32.66/32.99 ! [ VVar0,VExp0,VExp1 ] : ~( vvar(VVar0) = vapp(VExp0, VExp1) ),
% 32.66/32.99 file('COM001+0.ax', DIFF-var-app) ).
% 32.66/32.99
% 32.66/32.99 fof(DIFF-abs-app, axiom,
% 32.66/32.99 ! [ VVar0,VTyp0,VExp0,VExp1,VExp2 ] : ~( vabs(VVar0, VTyp0, VExp0) = vapp(VExp1, VExp2) ),
% 32.66/32.99 file('COM001+0.ax', DIFF-abs-app) ).
% 32.66/32.99
% 32.66/32.99 fof(isValue0, axiom,
% 32.66/32.99 ! [ Vx,VS,Ve,VExp0 ] : ( VExp0 = vabs(Vx, VS, Ve) => visValue(VExp0) ),
% 32.66/32.99 file('COM001+0.ax', isValue0) ).
% 32.66/32.99
% 32.66/32.99 fof(isValue1, axiom,
% 32.66/32.99 ! [ Vx,VExp0 ] : ( VExp0 = vvar(Vx) => ~( visValue(VExp0) ) ),
% 32.66/32.99 file('COM001+0.ax', isValue1) ).
% 32.66/32.99
% 32.66/32.99 fof(isValue2, axiom,
% 32.66/32.99 ! [ Ve1,Ve2,VExp0 ] : ( VExp0 = vapp(Ve1, Ve2) => ~( visValue(VExp0) ) ),
% 32.66/32.99 file('COM001+0.ax', isValue2) ).
% 32.66/32.99
% 32.66/32.99 fof(isFreeVar0, axiom,
% 32.66/32.99 ! [ VVar0,VExp0,Vx,Vv ] : ( ( VVar0 = Vv & VExp0 = vvar(Vx) ) => ( ( Vx = Vv => visFreeVar(VVar0, VExp0) ) & ( visFreeVar(VVar0, VExp0) => Vx = Vv ) ) ),
% 32.66/32.99 file('COM001+0.ax', isFreeVar0) ).
% 32.66/32.99
% 32.66/32.99 fof(isFreeVar1, axiom,
% 32.66/32.99 ! [ VT,VVar0,VExp0,Vx,Vv,Ve ] : ( ( VVar0 = Vv & VExp0 = vabs(Vx, VT, Ve) ) => ( ( ( ~( Vx = Vv ) & visFreeVar(Vv, Ve) ) => visFreeVar(VVar0, VExp0) ) & ( visFreeVar(VVar0, VExp0) => ( ~( Vx = Vv ) & visFreeVar(Vv, Ve) ) ) ) ),
% 32.66/32.99 file('COM001+0.ax', isFreeVar1) ).
% 32.66/32.99
% 32.66/32.99 fof(isFreeVar2, axiom,
% 32.66/32.99 ! [ VVar0,VExp0,Ve1,Vv,Ve2 ] : ( ( VVar0 = Vv & VExp0 = vapp(Ve1, Ve2) ) => ( ( ( visFreeVar(Vv, Ve1) | visFreeVar(Vv, Ve2) ) => visFreeVar(VVar0, VExp0) ) & ( visFreeVar(VVar0, VExp0) => ( visFreeVar(Vv, Ve1) | visFreeVar(Vv, Ve2) ) ) ) ),
% 32.66/32.99 file('COM001+0.ax', isFreeVar2) ).
% 32.66/32.99
% 32.66/32.99 fof(EQ-empty, axiom,
% 32.66/32.99 ( ( vempty = vempty => $true ) & ( $true => vempty = vempty ) ),
% 32.66/32.99 file('COM001+0.ax', EQ-empty) ).
% 32.66/32.99
% 32.66/32.99 fof(EQ-bind, axiom,
% 32.66/32.99 ! [ VVar0,VTyp0,VCtx0,VVar1,VTyp1,VCtx1 ] : ( ( vbind(VVar0, VTyp0, VCtx0) = vbind(VVar1, VTyp1, VCtx1) => ( VVar0 = VVar1 & VTyp0 = VTyp1 & VCtx0 = VCtx1 ) ) & ( ( VVar0 = VVar1 & VTyp0 = VTyp1 & VCtx0 = VCtx1 ) => vbind(VVar0, VTyp0, VCtx0) = vbind(VVar1, VTyp1, VCtx1) ) ),
% 32.66/32.99 file('COM001+0.ax', EQ-bind) ).
% 32.66/32.99
% 32.66/32.99 fof(EQ-noType, axiom,
% 32.66/32.99 ( ( vnoType = vnoType => $true ) & ( $true => vnoType = vnoType ) ),
% 32.66/32.99 file('COM001+0.ax', EQ-noType) ).
% 32.66/32.99
% 32.66/32.99 fof(EQ-someType, axiom,
% 32.66/32.99 ! [ VTyp0,VTyp1 ] : ( ( vsomeType(VTyp0) = vsomeType(VTyp1) => VTyp0 = VTyp1 ) & ( VTyp0 = VTyp1 => vsomeType(VTyp0) = vsomeType(VTyp1) ) ),
% 32.66/32.99 file('COM001+0.ax', EQ-someType) ).
% 32.66/32.99
% 32.66/32.99 fof(DIFF-empty-bind, axiom,
% 32.66/32.99 ! [ VVar0,VTyp0,VCtx0 ] : ~( vempty = vbind(VVar0, VTyp0, VCtx0) ),
% 32.66/32.99 file('COM001+0.ax', DIFF-empty-bind) ).
% 32.66/32.99
% 32.66/32.99 fof(DIFF-noType-someType, axiom,
% 32.66/32.99 ! [ VTyp0 ] : ~( vnoType = vsomeType(VTyp0) ),
% 32.66/32.99 file('COM001+0.ax', DIFF-noType-someType) ).
% 32.66/32.99
% 32.66/32.99 fof(isSomeType0, axiom,
% 32.66/32.99 ! [ VOptTyp0 ] : ( VOptTyp0 = vnoType => ~( visSomeType(VOptTyp0) ) ),
% 32.66/32.99 file('COM001+0.ax', isSomeType0) ).
% 32.66/32.99
% 32.66/32.99 fof(isSomeType1, axiom,
% 32.66/32.99 ! [ Ve,VOptTyp0 ] : ( VOptTyp0 = vsomeType(Ve) => visSomeType(VOptTyp0) ),
% 32.66/32.99 file('COM001+0.ax', isSomeType1) ).
% 32.66/32.99
% 32.66/32.99 fof(getSomeType0, axiom,
% 32.66/32.99 ! [ VOptTyp0,RESULT,Ve ] : ( VOptTyp0 = vsomeType(Ve) => ( RESULT = vgetSomeType(VOptTyp0) => RESULT = Ve ) ),
% 32.66/32.99 file('COM001+0.ax', getSomeType0) ).
% 32.66/32.99
% 32.66/32.99 fof(lookup0, axiom,
% 32.66/32.99 ! [ Vx,VVar0,VCtx0,RESULT ] : ( ( VVar0 = Vx & VCtx0 = vempty ) => ( RESULT = vlookup(VVar0, VCtx0) => RESULT = vnoType ) ),
% 32.66/32.99 file('COM001+0.ax', lookup0) ).
% 32.66/32.99
% 32.66/32.99 fof(lookup1, axiom,
% 32.66/32.99 ! [ VC,Vx,Vy,VVar0,VCtx0,RESULT,VTy ] : ( ( VVar0 = Vx & VCtx0 = vbind(Vy, VTy, VC) ) => ( Vx = Vy => ( RESULT = vlookup(VVar0, VCtx0) => RESULT = vsomeType(VTy) ) ) ),
% 32.66/32.99 file('COM001+0.ax', lookup1) ).
% 32.66/32.99
% 32.66/32.99 fof(lookup2, axiom,
% 32.66/32.99 ! [ VTy,Vy,VVar0,VCtx0,RESULT,Vx,VC ] : ( ( VVar0 = Vx & VCtx0 = vbind(Vy, VTy, VC) ) => ( ~( Vx = Vy ) => ( RESULT = vlookup(VVar0, VCtx0) => RESULT = vlookup(Vx, VC) ) ) ),
% 32.66/32.99 file('COM001+0.ax', lookup2) ).
% 32.66/32.99
% 32.66/32.99 fof(lookup-INV, axiom,
% 32.66/32.99 ! [ VVar0,VCtx0,RESULT ] : ( vlookup(VVar0, VCtx0) = RESULT => ( ? [ Vx ] : ( VVar0 = Vx & VCtx0 = vempty & RESULT = vnoType ) | ? [ VC,Vx,Vy,VTy ] : ( VVar0 = Vx & VCtx0 = vbind(Vy, VTy, VC) & Vx = Vy & RESULT = vsomeType(VTy) ) | ? [ VTy,Vy,Vx,VC ] : ( VVar0 = Vx & VCtx0 = vbind(Vy, VTy, VC) & ~( Vx = Vy ) & RESULT = vlookup(Vx, VC) ) ) ),
% 32.66/32.99 file('COM001+0.ax', lookup-INV) ).
% 32.66/32.99
% 32.66/32.99 fof(T-Context-Duplicate, axiom,
% 32.66/32.99 ! [ Vy,VTy,Vx,VTx,VC,Ve,VT ] : ( ( Vx = Vy & vtcheck(vbind(Vx, VTx, vbind(Vy, VTy, VC)), Ve, VT) ) => vtcheck(vbind(Vx, VTx, VC), Ve, VT) ),
% 32.66/32.99 file('COM001+0.ax', T-Context-Duplicate) ).
% 32.66/32.99
% 32.66/32.99 fof(T-Context-Swap, axiom,
% 32.66/32.99 ! [ Vy,VTy,Vx,VTx,VC,Ve,VT ] : ( ( ~( Vx = Vy ) & vtcheck(vbind(Vx, VTx, vbind(Vy, VTy, VC)), Ve, VT) ) => vtcheck(vbind(Vy, VTy, vbind(Vx, VTx, VC)), Ve, VT) ),
% 32.66/32.99 file('COM001+0.ax', T-Context-Swap) ).
% 32.66/32.99
% 32.66/32.99 fof(gensym-is-fresh, axiom,
% 32.66/32.99 ! [ Vv,Ve ] : ( vgensym(Ve) = Vv => ~( visFreeVar(Vv, Ve) ) ),
% 32.66/32.99 file('COM001+0.ax', gensym-is-fresh) ).
% 32.66/32.99
% 32.66/32.99 fof(subst0, axiom,
% 32.66/32.99 ! [ Vx,Vy,VVar0,VExp0,VExp1,RESULT,Ve ] : ( ( VVar0 = Vx & VExp0 = Ve & VExp1 = vvar(Vy) ) => ( Vx = Vy => ( RESULT = vsubst(VVar0, VExp0, VExp1) => RESULT = Ve ) ) ),
% 32.66/32.99 file('COM001+0.ax', subst0) ).
% 32.66/32.99
% 32.66/32.99 fof(subst1, axiom,
% 32.66/32.99 ! [ Ve,Vx,VVar0,VExp0,VExp1,RESULT,Vy ] : ( ( VVar0 = Vx & VExp0 = Ve & VExp1 = vvar(Vy) ) => ( ~( Vx = Vy ) => ( RESULT = vsubst(VVar0, VExp0, VExp1) => RESULT = vvar(Vy) ) ) ),
% 32.66/32.99 file('COM001+0.ax', subst1) ).
% 32.66/32.99
% 32.66/32.99 fof(subst2, axiom,
% 32.66/32.99 ! [ VVar0,VExp0,VExp1,RESULT,Ve1,Vx,Ve,Ve2 ] : ( ( VVar0 = Vx & VExp0 = Ve & VExp1 = vapp(Ve1, Ve2) ) => ( RESULT = vsubst(VVar0, VExp0, VExp1) => RESULT = vapp(vsubst(Vx, Ve, Ve1), vsubst(Vx, Ve, Ve2)) ) ),
% 32.66/32.99 file('COM001+0.ax', subst2) ).
% 32.66/32.99
% 32.66/32.99 fof(subst3, axiom,
% 32.66/32.99 ! [ Ve,Vx,VVar0,VExp0,VExp1,RESULT,Vy,VT,Ve1 ] : ( ( VVar0 = Vx & VExp0 = Ve & VExp1 = vabs(Vy, VT, Ve1) ) => ( Vx = Vy => ( RESULT = vsubst(VVar0, VExp0, VExp1) => RESULT = vabs(Vy, VT, Ve1) ) ) ),
% 32.66/32.99 file('COM001+0.ax', subst3) ).
% 32.66/32.99
% 32.66/32.99 fof(subst4, axiom,
% 32.66/32.99 ! [ VVar0,VExp0,VExp1,RESULT,Vx,Ve,VT,Vy,Vfresh,Ve1 ] : ( ( VVar0 = Vx & VExp0 = Ve & VExp1 = vabs(Vy, VT, Ve1) ) => ( ( ~( Vx = Vy ) & visFreeVar(Vy, Ve) & Vfresh = vgensym(vapp(vapp(Ve, Ve1), vvar(Vx))) ) => ( RESULT = vsubst(VVar0, VExp0, VExp1) => RESULT = vsubst(Vx, Ve, vabs(Vfresh, VT, vsubst(Vy, vvar(Vfresh), Ve1))) ) ) ),
% 32.66/32.99 file('COM001+0.ax', subst4) ).
% 32.66/32.99
% 32.66/32.99 fof(subst5, axiom,
% 32.66/32.99 ! [ VVar0,VExp0,VExp1,RESULT,Vy,VT,Vx,Ve,Ve1 ] : ( ( VVar0 = Vx & VExp0 = Ve & VExp1 = vabs(Vy, VT, Ve1) ) => ( ( ~( Vx = Vy ) & ~( visFreeVar(Vy, Ve) ) ) => ( RESULT = vsubst(VVar0, VExp0, VExp1) => RESULT = vabs(Vy, VT, vsubst(Vx, Ve, Ve1)) ) ) ),
% 32.66/32.99 file('COM001+0.ax', subst5) ).
% 32.66/32.99
% 32.66/32.99 fof(subst-INV, axiom,
% 32.66/32.99 ! [ VVar0,VExp0,VExp1,RESULT ] : ( vsubst(VVar0, VExp0, VExp1) = RESULT => ( ? [ Vx,Vy,Ve ] : ( VVar0 = Vx & VExp0 = Ve & VExp1 = vvar(Vy) & Vx = Vy & RESULT = Ve ) | ? [ Ve,Vx,Vy ] : ( VVar0 = Vx & VExp0 = Ve & VExp1 = vvar(Vy) & ~( Vx = Vy ) & RESULT = vvar(Vy) ) | ? [ Ve1,Vx,Ve,Ve2 ] : ( VVar0 = Vx & VExp0 = Ve & VExp1 = vapp(Ve1, Ve2) & RESULT = vapp(vsubst(Vx, Ve, Ve1), vsubst(Vx, Ve, Ve2)) ) | ? [ Ve,Vx,Vy,VT,Ve1 ] : ( VVar0 = Vx & VExp0 = Ve & VExp1 = vabs(Vy, VT, Ve1) & Vx = Vy & RESULT = vabs(Vy, VT, Ve1) ) | ? [ Vx,Ve,VT,Vy,Vfresh,Ve1 ] : ( VVar0 = Vx & VExp0 = Ve & VExp1 = vabs(Vy, VT, Ve1) & ~( Vx = Vy ) & visFreeVar(Vy, Ve) & Vfresh = vgensym(vapp(vapp(Ve, Ve1), vvar(Vx))) & RESULT = vsubst(Vx, Ve, vabs(Vfresh, VT, vsubst(Vy, vvar(Vfresh), Ve1))) ) | ? [ Vy,VT,Vx,Ve,Ve1 ] : ( VVar0 = Vx & VExp0 = Ve & VExp1 = vabs(Vy, VT, Ve1) & ~( Vx = Vy ) & ~( visFreeVar(Vy, Ve) ) & RESULT = vabs(Vy, VT, vsubst(Vx, Ve, Ve1)) ) ) ),
% 32.66/32.99 file('COM001+0.ax', subst-INV) ).
% 32.66/32.99
% 32.66/32.99 fof(EQ-noExp, axiom,
% 32.66/32.99 ( ( vnoExp = vnoExp => $true ) & ( $true => vnoExp = vnoExp ) ),
% 32.66/32.99 file('COM001+0.ax', EQ-noExp) ).
% 32.66/32.99
% 32.66/32.99 fof(EQ-someExp, axiom,
% 32.66/32.99 ! [ VExp0,VExp1 ] : ( ( vsomeExp(VExp0) = vsomeExp(VExp1) => VExp0 = VExp1 ) & ( VExp0 = VExp1 => vsomeExp(VExp0) = vsomeExp(VExp1) ) ),
% 32.66/32.99 file('COM001+0.ax', EQ-someExp) ).
% 32.66/32.99
% 32.66/32.99 fof(DIFF-noExp-someExp, axiom,
% 32.66/32.99 ! [ VExp0 ] : ~( vnoExp = vsomeExp(VExp0) ),
% 32.66/32.99 file('COM001+0.ax', DIFF-noExp-someExp) ).
% 32.66/32.99
% 32.66/32.99 fof(isSomeExp0, axiom,
% 32.66/32.99 ! [ VOptExp0 ] : ( VOptExp0 = vnoExp => ~( visSomeExp(VOptExp0) ) ),
% 32.66/32.99 file('COM001+0.ax', isSomeExp0) ).
% 32.66/32.99
% 32.66/32.99 fof(isSomeExp1, axiom,
% 32.66/32.99 ! [ Ve,VOptExp0 ] : ( VOptExp0 = vsomeExp(Ve) => visSomeExp(VOptExp0) ),
% 32.66/32.99 file('COM001+0.ax', isSomeExp1) ).
% 32.66/32.99
% 32.66/32.99 fof(getSomeExp0, axiom,
% 32.66/32.99 ! [ VOptExp0,RESULT,Ve ] : ( VOptExp0 = vsomeExp(Ve) => ( RESULT = vgetSomeExp(VOptExp0) => RESULT = Ve ) ),
% 32.66/32.99 file('COM001+0.ax', getSomeExp0) ).
% 32.66/32.99
% 32.66/32.99 fof(reduce0, axiom,
% 32.66/32.99 ! [ Vx,VExp0,RESULT ] : ( VExp0 = vvar(Vx) => ( RESULT = vreduce(VExp0) => RESULT = vnoExp ) ),
% 32.66/32.99 file('COM001+0.ax', reduce0) ).
% 32.66/32.99
% 32.66/32.99 fof(reduce1, axiom,
% 32.66/32.99 ! [ Vx,VS,Ve,VExp0,RESULT ] : ( VExp0 = vabs(Vx, VS, Ve) => ( RESULT = vreduce(VExp0) => RESULT = vnoExp ) ),
% 32.66/32.99 file('COM001+0.ax', reduce1) ).
% 32.66/32.99
% 32.66/32.99 fof(reduce2, axiom,
% 32.66/32.99 ! [ Ve2,VExp0,RESULT,Vx,VS,Ve1,Ve2red ] : ( VExp0 = vapp(vabs(Vx, VS, Ve1), Ve2) => ( ( Ve2red = vreduce(Ve2) & visSomeExp(Ve2red) ) => ( RESULT = vreduce(VExp0) => RESULT = vsomeExp(vapp(vabs(Vx, VS, Ve1), vgetSomeExp(Ve2red))) ) ) ),
% 32.66/32.99 file('COM001+0.ax', reduce2) ).
% 32.66/32.99
% 32.66/32.99 fof(reduce3, axiom,
% 32.66/32.99 ! [ VS,Ve2red,VExp0,RESULT,Vx,Ve2,Ve1 ] : ( VExp0 = vapp(vabs(Vx, VS, Ve1), Ve2) => ( ( Ve2red = vreduce(Ve2) & ~( visSomeExp(Ve2red) ) & visValue(Ve2) ) => ( RESULT = vreduce(VExp0) => RESULT = vsomeExp(vsubst(Vx, Ve2, Ve1)) ) ) ),
% 32.66/32.99 file('COM001+0.ax', reduce3) ).
% 32.66/32.99
% 32.66/32.99 fof(reduce4, axiom,
% 32.66/32.99 ! [ Vx,VS,Ve1,Ve2red,Ve2,VExp0,RESULT ] : ( VExp0 = vapp(vabs(Vx, VS, Ve1), Ve2) => ( ( Ve2red = vreduce(Ve2) & ~( visSomeExp(Ve2red) ) & ~( visValue(Ve2) ) ) => ( RESULT = vreduce(VExp0) => RESULT = vnoExp ) ) ),
% 32.66/32.99 file('COM001+0.ax', reduce4) ).
% 32.66/32.99
% 32.66/32.99 fof(reduce5, axiom,
% 32.66/32.99 ! [ Ve1,VExp0,RESULT,Ve1red,Ve2 ] : ( ( VExp0 = vapp(Ve1, Ve2) & ! [ VVx0,VVS0,VVe10 ] : ~( Ve1 = vabs(VVx0, VVS0, VVe10) ) ) => ( ( Ve1red = vreduce(Ve1) & visSomeExp(Ve1red) ) => ( RESULT = vreduce(VExp0) => RESULT = vsomeExp(vapp(vgetSomeExp(Ve1red), Ve2)) ) ) ),
% 32.66/32.99 file('COM001+0.ax', reduce5) ).
% 32.66/32.99
% 32.66/32.99 fof(reduce6, axiom,
% 32.66/32.99 ! [ Ve2,Ve1,Ve1red,VExp0,RESULT ] : ( ( VExp0 = vapp(Ve1, Ve2) & ! [ VVx0,VVS0,VVe10 ] : ~( Ve1 = vabs(VVx0, VVS0, VVe10) ) ) => ( ( Ve1red = vreduce(Ve1) & ~( visSomeExp(Ve1red) ) ) => ( RESULT = vreduce(VExp0) => RESULT = vnoExp ) ) ),
% 32.66/32.99 file('COM001+0.ax', reduce6) ).
% 32.66/32.99
% 32.66/32.99 fof(reduce-INV, axiom,
% 32.66/32.99 ! [ VExp0,RESULT ] : ( vreduce(VExp0) = RESULT => ( ? [ Vx ] : ( VExp0 = vvar(Vx) & RESULT = vnoExp ) | ? [ Vx,VS,Ve ] : ( VExp0 = vabs(Vx, VS, Ve) & RESULT = vnoExp ) | ? [ Ve2,Vx,VS,Ve1,Ve2red ] : ( VExp0 = vapp(vabs(Vx, VS, Ve1), Ve2) & Ve2red = vreduce(Ve2) & visSomeExp(Ve2red) & RESULT = vsomeExp(vapp(vabs(Vx, VS, Ve1), vgetSomeExp(Ve2red))) ) | ? [ VS,Ve2red,Vx,Ve2,Ve1 ] : ( VExp0 = vapp(vabs(Vx, VS, Ve1), Ve2) & Ve2red = vreduce(Ve2) & ~( visSomeExp(Ve2red) ) & visValue(Ve2) & RESULT = vsomeExp(vsubst(Vx, Ve2, Ve1)) ) | ? [ Vx,VS,Ve1,Ve2red,Ve2 ] : ( VExp0 = vapp(vabs(Vx, VS, Ve1), Ve2) & Ve2red = vreduce(Ve2) & ~( visSomeExp(Ve2red) ) & ~( visValue(Ve2) ) & RESULT = vnoExp ) | ? [ Ve1,Ve1red,Ve2 ] : ( VExp0 = vapp(Ve1, Ve2) & ! [ VVx0,VVS0,VVe10 ] : ~( Ve1 = vabs(VVx0, VVS0, VVe10) ) & Ve1red = vreduce(Ve1) & visSomeExp(Ve1red) & RESULT = vsomeExp(vapp(vgetSomeExp(Ve1red), Ve2)) ) | ? [ Ve2,Ve1,Ve1red ] : ( VExp0 = vapp(Ve1, Ve2) & ! [ VVx0,VVS0,VVe10 ] : ~( Ve1 = vabs(VVx0, VVS0, VVe10) ) & Ve1red = vreduce(Ve1) & ~( visSomeExp(Ve1red) ) & RESULT = vnoExp ) ) ),
% 32.66/32.99 file('COM001+0.ax', reduce-INV) ).
% 32.66/32.99
% 32.66/32.99 fof(EQ-arrow, axiom,
% 32.66/32.99 ! [ VTyp0,VTyp1,VTyp2,VTyp3 ] : ( ( varrow(VTyp0, VTyp1) = varrow(VTyp2, VTyp3) => ( VTyp0 = VTyp2 & VTyp1 = VTyp3 ) ) & ( ( VTyp0 = VTyp2 & VTyp1 = VTyp3 ) => varrow(VTyp0, VTyp1) = varrow(VTyp2, VTyp3) ) ),
% 32.66/32.99 file('COM001+0.ax', EQ-arrow) ).
% 32.66/32.99
% 32.66/32.99 fof(T-var, axiom,
% 32.66/32.99 ! [ VC,Vx,VT ] : ( vlookup(Vx, VC) = vsomeType(VT) => vtcheck(VC, vvar(Vx), VT) ),
% 32.66/32.99 file('COM001+0.ax', T-var) ).
% 32.66/32.99
% 32.66/32.99 fof(T-abs, axiom,
% 32.66/32.99 ! [ VC,Vx,Ve,VS,VT ] : ( vtcheck(vbind(Vx, VS, VC), Ve, VT) => vtcheck(VC, vabs(Vx, VS, Ve), varrow(VS, VT)) ),
% 32.66/32.99 file('COM001+0.ax', T-abs) ).
% 32.66/32.99
% 32.66/32.99 fof(T-app, axiom,
% 32.66/32.99 ! [ VS,VC,Ve1,Ve2,VT ] : ( ( vtcheck(VC, Ve1, varrow(VS, VT)) & vtcheck(VC, Ve2, VS) ) => vtcheck(VC, vapp(Ve1, Ve2), VT) ),
% 32.66/32.99 file('COM001+0.ax', T-app) ).
% 32.66/32.99
% 32.66/32.99 fof(T-inv, axiom,
% 32.66/32.99 ! [ Ve,VT,VC ] : ( vtcheck(VC, Ve, VT) => ( ? [ Vx ] : ( Ve = vvar(Vx) & vlookup(Vx, VC) = vsomeType(VT) ) | ? [ Vx,Ve2,VT1,VT2 ] : ( Ve = vabs(Vx, VT1, Ve2) & VT = varrow(VT1, VT2) & vtcheck(vbind(Vx, VT1, VC), Ve2, VT2) ) | ? [ Ve1,Ve2,VS ] : ( Ve = vapp(Ve1, Ve2) & vtcheck(VC, Ve1, varrow(VS, VT)) & vtcheck(VC, Ve2, VS) ) ) ),
% 32.66/32.99 file('COM001+0.ax', T-inv) ).
% 32.66/32.99
% 32.66/32.99 fof(T-Weak, axiom,
% 32.66/32.99 ! [ Vx,VS,VC,Ve,VT ] : ( ( vlookup(Vx, VC) = vnoType & vtcheck(VC, Ve, VT) ) => vtcheck(vbind(Vx, VS, VC), Ve, VT) ),
% 32.66/32.99 file('theBenchmark.p', T-Weak) ).
% 32.66/32.99
% 32.66/32.99 fof(T-Strong, axiom,
% 32.66/32.99 ! [ Vx,VS,VC,Ve,VT ] : ( ( ~( visFreeVar(Vx, Ve) ) & vtcheck(vbind(Vx, VS, VC), Ve, VT) ) => vtcheck(VC, Ve, VT) ),
% 32.66/32.99 file('theBenchmark.p', T-Strong) ).
% 32.66/32.99
% 32.66/32.99 fof(T-Weak-FreeVar-abs-IH, axiom,
% 32.66/32.99 ! [ Vx,VS,VC,VT ] : ( ( ~( visFreeVar(Vx, veabs) ) & vtcheck(VC, veabs, VT) ) => vtcheck(vbind(Vx, VS, VC), veabs, VT) ),
% 32.66/32.99 file('theBenchmark.p', T-Weak-FreeVar-abs-IH) ).
% 32.66/32.99
% 32.66/32.99 fof(T-Weak-FreeVar-abs-1, axiom,
% 32.66/32.99 ! [ Vx,VS,VC,Vy,VS1,VT ] : ( ( ~( Vx = Vy ) & ~( visFreeVar(Vx, vabs(Vy, VS1, veabs)) ) & vtcheck(VC, vabs(Vy, VS1, veabs), VT) ) => vtcheck(vbind(Vx, VS, VC), vabs(Vy, VS1, veabs), VT) ),
% 32.66/32.99 file('theBenchmark.p', T-Weak-FreeVar-abs-1) ).
% 32.66/32.99
% 32.66/32.99 fof(T-Weak-FreeVar-abs-2, axiom,
% 32.66/32.99 ! [ Vx,VS,VC,Vy,VS1,VT ] : ( ( Vx = Vy & ~( visFreeVar(Vx, vabs(Vy, VS1, veabs)) ) & vtcheck(VC, vabs(Vy, VS1, veabs), VT) ) => vtcheck(vbind(Vx, VS, VC), vabs(Vy, VS1, veabs), VT) ),
% 32.66/32.99 file('theBenchmark.p', T-Weak-FreeVar-abs-2) ).
% 32.66/32.99
% 32.66/32.99 fof(T-Weak-FreeVar-abs, conjecture,
% 32.66/32.99 ! [ Vx,VS,VC,Vy,VS1,VT ] : ( ( ~( visFreeVar(Vx, vabs(Vy, VS1, veabs)) ) & vtcheck(VC, vabs(Vy, VS1, veabs), VT) ) => vtcheck(vbind(Vx, VS, VC), vabs(Vy, VS1, veabs), VT) ),
% 32.66/32.99 file('theBenchmark.p', T-Weak-FreeVar-abs) ).
% 32.66/32.99
% 32.66/32.99 fof(f_1_1, plain,
% 32.66/32.99 ! [ VVar0,VVar1 ] : ( ( ~( vvar(VVar0) = vvar(VVar1) ) | VVar0 = VVar1 ) & ( ~( VVar0 = VVar1 ) | vvar(VVar0) = vvar(VVar1) ) ),
% 32.66/32.99 inference(fof_nnf,[status(thm)],[EQ-var]) ).
% 32.66/32.99
% 32.66/32.99 fof(f_1_2, plain,
% 32.66/32.99 ! [ U_1,U_0 ] : ( ( ~( vvar(U_1) = vvar(U_0) ) | U_1 = U_0 ) & ( ~( U_1 = U_0 ) | vvar(U_1) = vvar(U_0) ) ),
% 32.66/32.99 inference(variable_rename,[status(thm)],[f_1_1]) ).
% 32.66/32.99
% 32.66/32.99 fof(f_1_3, plain,
% 32.66/32.99 ( ! [ U_4,U_2 ] : ( ~( vvar(U_4) = vvar(U_2) ) | U_4 = U_2 ) & ! [ U_5,U_3 ] : ( ~( U_5 = U_3 ) | vvar(U_5) = vvar(U_3) ) ),
% 32.66/32.99 inference(miniscope,[status(thm)],[f_1_2]) ).
% 32.66/32.99
% 32.66/32.99 fof(f_1_4, plain,
% 32.66/32.99 ( ( ! [U_4, U_2] : ( vvar(U_4) != vvar(U_2) | U_4 = U_2 ) ) & ( ! [U_5, U_3] : ( U_5 != U_3 | vvar(U_5) = vvar(U_3) ) ) ),
% 32.66/32.99 inference(definitional_conversion,[status(esa)],[f_1_3]) ).
% 32.66/32.99
% 32.66/32.99 cnf(f_1_5, plain,
% 32.66/32.99 ( vvar(U_4) != vvar(U_2) | U_4 = U_2 ),
% 32.66/32.99 inference(clausify,[status(thm)],[f_1_4]) ).
% 32.66/32.99
% 32.66/32.99 cnf(f_1_6, plain,
% 32.66/32.99 ( U_5 != U_3 | vvar(U_5) = vvar(U_3) ),
% 32.66/32.99 inference(clausify,[status(thm)],[f_1_4]) ).
% 32.66/32.99
% 32.66/32.99 fof(f_2_1, plain,
% 32.66/32.99 ! [ VVar0,VTyp0,VExp0,VVar1,VTyp1,VExp1 ] : ( ( ~( vabs(VVar0, VTyp0, VExp0) = vabs(VVar1, VTyp1, VExp1) ) | ( VVar0 = VVar1 & VTyp0 = VTyp1 & VExp0 = VExp1 ) ) & ( ( ~( VVar0 = VVar1 ) | ~( VTyp0 = VTyp1 ) | ~( VExp0 = VExp1 ) ) | vabs(VVar0, VTyp0, VExp0) = vabs(VVar1, VTyp1, VExp1) ) ),
% 32.66/32.99 inference(fof_nnf,[status(thm)],[EQ-abs]) ).
% 32.66/32.99
% 32.66/32.99 fof(f_2_2, plain,
% 32.66/32.99 ! [ U_11,U_10,U_9,U_8,U_7,U_6 ] : ( ( ~( vabs(U_11, U_10, U_9) = vabs(U_8, U_7, U_6) ) | ( U_11 = U_8 & U_10 = U_7 & U_9 = U_6 ) ) & ( ( ~( U_11 = U_8 ) | ~( U_10 = U_7 ) | ~( U_9 = U_6 ) ) | vabs(U_11, U_10, U_9) = vabs(U_8, U_7, U_6) ) ),
% 32.66/32.99 inference(variable_rename,[status(thm)],[f_2_1]) ).
% 32.66/32.99
% 32.66/32.99 fof(f_2_3, plain,
% 32.66/32.99 ( ! [ U_22,U_20,U_18,U_16,U_14,U_12 ] : ( ~( vabs(U_22, U_20, U_18) = vabs(U_16, U_14, U_12) ) | ( U_22 = U_16 & U_20 = U_14 & U_18 = U_12 ) ) & ! [ U_23,U_21,U_19,U_17,U_15,U_13 ] : ( ( ~( U_23 = U_17 ) | ~( U_21 = U_15 ) | ~( U_19 = U_13 ) ) | vabs(U_23, U_21, U_19) = vabs(U_17, U_15, U_13) ) ),
% 32.66/32.99 inference(miniscope,[status(thm)],[f_2_2]) ).
% 32.66/32.99
% 32.66/32.99 fof(f_2_4, plain,
% 32.66/32.99 ( ( ! [U_16, U_14, U_22, U_12, U_20, U_18] : ( vabs(U_22, U_20, U_18) != vabs(U_16, U_14, U_12) | sP0(U_16, U_14, U_22, U_12, U_20, U_18) ) ) & ( ! [U_15, U_21, U_17, U_19, U_13, U_23] : ( U_23 != U_17 | U_21 != U_15 | U_19 != U_13 | vabs(U_23, U_21, U_19) = vabs(U_17, U_15, U_13) ) ) & ( ! [U_16, U_14, U_22, U_12, U_20, U_18] : ( ~sP0(U_16, U_14, U_22, U_12, U_20, U_18) | U_22 = U_16 ) ) & ( ! [U_16, U_14, U_22, U_12, U_20, U_18] : ( ~sP0(U_16, U_14, U_22, U_12, U_20, U_18) | U_20 = U_14 ) ) & ( ! [U_16, U_14, U_22, U_12, U_20, U_18] : ( ~sP0(U_16, U_14, U_22, U_12, U_20, U_18) | U_18 = U_12 ) ) ),
% 32.66/32.99 inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP0])],[f_2_3]) ).
% 32.66/32.99
% 32.66/32.99 cnf(f_2_5, plain,
% 32.66/32.99 ( vabs(U_22, U_20, U_18) != vabs(U_16, U_14, U_12) | sP0(U_16, U_14, U_22, U_12, U_20, U_18) ),
% 32.66/32.99 inference(clausify,[status(thm)],[f_2_4]) ).
% 32.66/32.99
% 32.66/32.99 cnf(f_2_6, plain,
% 32.66/32.99 ( U_23 != U_17 | U_21 != U_15 | U_19 != U_13 | vabs(U_23, U_21, U_19) = vabs(U_17, U_15, U_13) ),
% 32.66/32.99 inference(clausify,[status(thm)],[f_2_4]) ).
% 32.66/32.99
% 32.66/32.99 cnf(f_2_7, plain,
% 32.66/32.99 ( ~sP0(U_16, U_14, U_22, U_12, U_20, U_18) | U_22 = U_16 ),
% 32.66/32.99 inference(clausify,[status(thm)],[f_2_4]) ).
% 32.66/32.99
% 32.66/32.99 cnf(f_2_8, plain,
% 32.66/32.99 ( ~sP0(U_16, U_14, U_22, U_12, U_20, U_18) | U_20 = U_14 ),
% 32.66/32.99 inference(clausify,[status(thm)],[f_2_4]) ).
% 32.66/32.99
% 32.66/32.99 cnf(f_2_9, plain,
% 32.66/32.99 ( ~sP0(U_16, U_14, U_22, U_12, U_20, U_18) | U_18 = U_12 ),
% 32.66/32.99 inference(clausify,[status(thm)],[f_2_4]) ).
% 32.66/32.99
% 32.66/32.99 fof(f_3_1, plain,
% 32.66/32.99 ! [ VExp0,VExp1,VExp2,VExp3 ] : ( ( ~( vapp(VExp0, VExp1) = vapp(VExp2, VExp3) ) | ( VExp0 = VExp2 & VExp1 = VExp3 ) ) & ( ( ~( VExp0 = VExp2 ) | ~( VExp1 = VExp3 ) ) | vapp(VExp0, VExp1) = vapp(VExp2, VExp3) ) ),
% 32.66/32.99 inference(fof_nnf,[status(thm)],[EQ-app]) ).
% 32.66/32.99
% 32.66/32.99 fof(f_3_2, plain,
% 32.66/32.99 ! [ U_27,U_26,U_25,U_24 ] : ( ( ~( vapp(U_27, U_26) = vapp(U_25, U_24) ) | ( U_27 = U_25 & U_26 = U_24 ) ) & ( ( ~( U_27 = U_25 ) | ~( U_26 = U_24 ) ) | vapp(U_27, U_26) = vapp(U_25, U_24) ) ),
% 32.66/32.99 inference(variable_rename,[status(thm)],[f_3_1]) ).
% 32.66/32.99
% 32.66/32.99 fof(f_3_3, plain,
% 32.66/32.99 ( ! [ U_34,U_32,U_30,U_28 ] : ( ~( vapp(U_34, U_32) = vapp(U_30, U_28) ) | ( U_34 = U_30 & U_32 = U_28 ) ) & ! [ U_35,U_33,U_31,U_29 ] : ( ( ~( U_35 = U_31 ) | ~( U_33 = U_29 ) ) | vapp(U_35, U_33) = vapp(U_31, U_29) ) ),
% 32.66/32.99 inference(miniscope,[status(thm)],[f_3_2]) ).
% 32.66/32.99
% 32.66/32.99 fof(f_3_4, plain,
% 32.66/32.99 ( ( ! [U_28, U_32, U_34, U_30] : ( vapp(U_34, U_32) != vapp(U_30, U_28) | sP1(U_28, U_32, U_34, U_30) ) ) & ( ! [U_35, U_31, U_29, U_33] : ( U_35 != U_31 | U_33 != U_29 | vapp(U_35, U_33) = vapp(U_31, U_29) ) ) & ( ! [U_28, U_32, U_34, U_30] : ( ~sP1(U_28, U_32, U_34, U_30) | U_34 = U_30 ) ) & ( ! [U_28, U_32, U_34, U_30] : ( ~sP1(U_28, U_32, U_34, U_30) | U_32 = U_28 ) ) ),
% 32.66/32.99 inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP1])],[f_3_3]) ).
% 32.66/32.99
% 32.66/32.99 cnf(f_3_5, plain,
% 32.66/32.99 ( vapp(U_34, U_32) != vapp(U_30, U_28) | sP1(U_28, U_32, U_34, U_30) ),
% 32.66/32.99 inference(clausify,[status(thm)],[f_3_4]) ).
% 32.66/32.99
% 32.66/32.99 cnf(f_3_6, plain,
% 32.66/32.99 ( U_35 != U_31 | U_33 != U_29 | vapp(U_35, U_33) = vapp(U_31, U_29) ),
% 32.66/32.99 inference(clausify,[status(thm)],[f_3_4]) ).
% 32.66/32.99
% 32.66/32.99 cnf(f_3_7, plain,
% 32.66/32.99 ( ~sP1(U_28, U_32, U_34, U_30) | U_34 = U_30 ),
% 32.66/32.99 inference(clausify,[status(thm)],[f_3_4]) ).
% 32.66/32.99
% 32.66/32.99 cnf(f_3_8, plain,
% 32.66/32.99 ( ~sP1(U_28, U_32, U_34, U_30) | U_32 = U_28 ),
% 32.66/32.99 inference(clausify,[status(thm)],[f_3_4]) ).
% 32.66/32.99
% 32.66/32.99 fof(f_4_1, plain,
% 32.66/32.99 ! [ VVar0,VVar1,VTyp0,VExp0 ] : ~( vvar(VVar0) = vabs(VVar1, VTyp0, VExp0) ),
% 32.66/32.99 inference(fof_nnf,[status(thm)],[DIFF-var-abs]) ).
% 32.66/32.99
% 32.66/32.99 fof(f_4_2, plain,
% 32.66/32.99 ! [ U_39,U_38,U_37,U_36 ] : ~( vvar(U_39) = vabs(U_38, U_37, U_36) ),
% 32.66/32.99 inference(variable_rename,[status(thm)],[f_4_1]) ).
% 32.66/32.99
% 32.66/32.99 fof(f_4_3, plain,
% 32.66/32.99 ( ( ! [U_39, U_38, U_37, U_36] : ( vvar(U_39) != vabs(U_38, U_37, U_36) ) ) ),
% 32.66/32.99 inference(definitional_conversion,[status(esa)],[f_4_2]) ).
% 32.66/32.99
% 32.66/32.99 cnf(f_4_4, plain,
% 32.66/32.99 ( vvar(U_39) != vabs(U_38, U_37, U_36) ),
% 32.66/32.99 inference(clausify,[status(thm)],[f_4_3]) ).
% 32.66/32.99
% 32.66/32.99 fof(f_5_1, plain,
% 32.66/32.99 ! [ VVar0,VExp0,VExp1 ] : ~( vvar(VVar0) = vapp(VExp0, VExp1) ),
% 32.66/32.99 inference(fof_nnf,[status(thm)],[DIFF-var-app]) ).
% 32.66/32.99
% 32.66/32.99 fof(f_5_2, plain,
% 32.66/32.99 ! [ U_42,U_41,U_40 ] : ~( vvar(U_42) = vapp(U_41, U_40) ),
% 32.66/32.99 inference(variable_rename,[status(thm)],[f_5_1]) ).
% 32.66/32.99
% 32.66/32.99 fof(f_5_3, plain,
% 32.66/32.99 ( ( ! [U_40, U_42, U_41] : ( vvar(U_42) != vapp(U_41, U_40) ) ) ),
% 32.66/32.99 inference(definitional_conversion,[status(esa)],[f_5_2]) ).
% 32.66/32.99
% 32.66/32.99 cnf(f_5_4, plain,
% 32.66/32.99 ( vvar(U_42) != vapp(U_41, U_40) ),
% 32.66/32.99 inference(clausify,[status(thm)],[f_5_3]) ).
% 32.66/32.99
% 32.66/32.99 fof(f_6_1, plain,
% 32.66/32.99 ! [ VVar0,VTyp0,VExp0,VExp1,VExp2 ] : ~( vabs(VVar0, VTyp0, VExp0) = vapp(VExp1, VExp2) ),
% 32.66/32.99 inference(fof_nnf,[status(thm)],[DIFF-abs-app]) ).
% 32.66/32.99
% 32.66/32.99 fof(f_6_2, plain,
% 32.66/32.99 ! [ U_47,U_46,U_45,U_44,U_43 ] : ~( vabs(U_47, U_46, U_45) = vapp(U_44, U_43) ),
% 32.66/32.99 inference(variable_rename,[status(thm)],[f_6_1]) ).
% 32.66/32.99
% 32.66/32.99 fof(f_6_3, plain,
% 32.66/32.99 ( ( ! [U_44, U_47, U_46, U_45, U_43] : ( vabs(U_47, U_46, U_45) != vapp(U_44, U_43) ) ) ),
% 32.66/32.99 inference(definitional_conversion,[status(esa)],[f_6_2]) ).
% 32.66/32.99
% 32.66/32.99 cnf(f_6_4, plain,
% 32.66/32.99 ( vabs(U_47, U_46, U_45) != vapp(U_44, U_43) ),
% 32.66/32.99 inference(clausify,[status(thm)],[f_6_3]) ).
% 32.66/32.99
% 32.66/32.99 fof(f_7_1, plain,
% 32.66/32.99 ! [ Vx,VS,Ve,VExp0 ] : ( ~( VExp0 = vabs(Vx, VS, Ve) ) | visValue(VExp0) ),
% 32.66/32.99 inference(fof_nnf,[status(thm)],[isValue0]) ).
% 32.66/32.99
% 32.66/32.99 fof(f_7_2, plain,
% 32.66/32.99 ! [ U_51,U_50,U_49,U_48 ] : ( ~( U_48 = vabs(U_51, U_50, U_49) ) | visValue(U_48) ),
% 32.66/32.99 inference(variable_rename,[status(thm)],[f_7_1]) ).
% 32.66/32.99
% 32.66/32.99 fof(f_7_3, plain,
% 32.66/32.99 ( ( ! [U_51, U_49, U_50, U_48] : ( U_48 != vabs(U_51, U_50, U_49) | visValue(U_48) ) ) ),
% 32.66/32.99 inference(definitional_conversion,[status(esa)],[f_7_2]) ).
% 32.66/32.99
% 32.66/32.99 cnf(f_7_4, plain,
% 32.66/32.99 ( U_48 != vabs(U_51, U_50, U_49) | visValue(U_48) ),
% 32.66/32.99 inference(clausify,[status(thm)],[f_7_3]) ).
% 32.66/32.99
% 32.66/32.99 fof(f_8_1, plain,
% 32.66/32.99 ! [ Vx,VExp0 ] : ( ~( VExp0 = vvar(Vx) ) | ~( visValue(VExp0) ) ),
% 32.66/32.99 inference(fof_nnf,[status(thm)],[isValue1]) ).
% 32.66/32.99
% 32.66/32.99 fof(f_8_2, plain,
% 32.66/32.99 ! [ U_53,U_52 ] : ( ~( U_52 = vvar(U_53) ) | ~( visValue(U_52) ) ),
% 32.66/32.99 inference(variable_rename,[status(thm)],[f_8_1]) ).
% 32.66/32.99
% 32.66/32.99 fof(f_8_3, plain,
% 32.66/32.99 ( ( ! [U_53, U_52] : ( U_52 != vvar(U_53) | ~visValue(U_52) ) ) ),
% 32.66/32.99 inference(definitional_conversion,[status(esa)],[f_8_2]) ).
% 32.66/32.99
% 32.66/32.99 cnf(f_8_4, plain,
% 32.66/32.99 ( U_52 != vvar(U_53) | ~visValue(U_52) ),
% 32.66/32.99 inference(clausify,[status(thm)],[f_8_3]) ).
% 32.66/32.99
% 32.66/32.99 fof(f_9_1, plain,
% 32.66/32.99 ! [ Ve1,Ve2,VExp0 ] : ( ~( VExp0 = vapp(Ve1, Ve2) ) | ~( visValue(VExp0) ) ),
% 32.66/32.99 inference(fof_nnf,[status(thm)],[isValue2]) ).
% 32.66/32.99
% 32.66/32.99 fof(f_9_2, plain,
% 32.66/32.99 ! [ U_56,U_55,U_54 ] : ( ~( U_54 = vapp(U_56, U_55) ) | ~( visValue(U_54) ) ),
% 32.66/32.99 inference(variable_rename,[status(thm)],[f_9_1]) ).
% 32.66/32.99
% 32.66/32.99 fof(f_9_3, plain,
% 32.66/32.99 ( ( ! [U_54, U_56, U_55] : ( U_54 != vapp(U_56, U_55) | ~visValue(U_54) ) ) ),
% 32.66/32.99 inference(definitional_conversion,[status(esa)],[f_9_2]) ).
% 32.66/32.99
% 32.66/32.99 cnf(f_9_4, plain,
% 32.66/32.99 ( U_54 != vapp(U_56, U_55) | ~visValue(U_54) ),
% 32.66/32.99 inference(clausify,[status(thm)],[f_9_3]) ).
% 32.66/32.99
% 32.66/32.99 fof(f_10_1, plain,
% 32.66/32.99 ! [ VVar0,VExp0,Vx,Vv ] : ( ( ~( VVar0 = Vv ) | ~( VExp0 = vvar(Vx) ) ) | ( ( ~( Vx = Vv ) | visFreeVar(VVar0, VExp0) ) & ( ~( visFreeVar(VVar0, VExp0) ) | Vx = Vv ) ) ),
% 32.66/32.99 inference(fof_nnf,[status(thm)],[isFreeVar0]) ).
% 32.66/32.99
% 32.66/32.99 fof(f_10_2, plain,
% 32.66/32.99 ! [ U_60,U_59,U_58,U_57 ] : ( ( ~( U_60 = U_57 ) | ~( U_59 = vvar(U_58) ) ) | ( ( ~( U_58 = U_57 ) | visFreeVar(U_60, U_59) ) & ( ~( visFreeVar(U_60, U_59) ) | U_58 = U_57 ) ) ),
% 32.66/32.99 inference(variable_rename,[status(thm)],[f_10_1]) ).
% 32.66/32.99
% 32.66/32.99 fof(f_10_3, plain,
% 32.66/32.99 ( ( ! [U_58, U_60, U_59, U_57] : ( U_60 != U_57 | U_59 != vvar(U_58) | sP2(U_58, U_60, U_59, U_57) ) ) & ( ! [U_58, U_60, U_59, U_57] : ( ~sP2(U_58, U_60, U_59, U_57) | U_58 != U_57 | visFreeVar(U_60, U_59) ) ) & ( ! [U_58, U_60, U_59, U_57] : ( ~sP2(U_58, U_60, U_59, U_57) | ~visFreeVar(U_60, U_59) | U_58 = U_57 ) ) ),
% 32.66/32.99 inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP2])],[f_10_2]) ).
% 32.66/32.99
% 32.66/32.99 cnf(f_10_4, plain,
% 32.66/32.99 ( U_60 != U_57 | U_59 != vvar(U_58) | sP2(U_58, U_60, U_59, U_57) ),
% 32.66/32.99 inference(clausify,[status(thm)],[f_10_3]) ).
% 32.66/32.99
% 32.66/32.99 cnf(f_10_5, plain,
% 32.66/32.99 ( ~sP2(U_58, U_60, U_59, U_57) | U_58 != U_57 | visFreeVar(U_60, U_59) ),
% 32.66/32.99 inference(clausify,[status(thm)],[f_10_3]) ).
% 32.66/32.99
% 32.66/32.99 cnf(f_10_6, plain,
% 32.66/32.99 ( ~sP2(U_58, U_60, U_59, U_57) | ~visFreeVar(U_60, U_59) | U_58 = U_57 ),
% 32.66/32.99 inference(clausify,[status(thm)],[f_10_3]) ).
% 32.66/32.99
% 32.66/32.99 fof(f_11_1, plain,
% 32.66/32.99 ! [ VT,VVar0,VExp0,Vx,Vv,Ve ] : ( ( ~( VVar0 = Vv ) | ~( VExp0 = vabs(Vx, VT, Ve) ) ) | ( ( ( Vx = Vv | ~( visFreeVar(Vv, Ve) ) ) | visFreeVar(VVar0, VExp0) ) & ( ~( visFreeVar(VVar0, VExp0) ) | ( ~( Vx = Vv ) & visFreeVar(Vv, Ve) ) ) ) ),
% 32.66/32.99 inference(fof_nnf,[status(thm)],[isFreeVar1]) ).
% 32.66/32.99
% 32.66/32.99 fof(f_11_2, plain,
% 32.66/32.99 ! [ U_66,U_65,U_64,U_63,U_62,U_61 ] : ( ( ~( U_65 = U_62 ) | ~( U_64 = vabs(U_63, U_66, U_61) ) ) | ( ( ( U_63 = U_62 | ~( visFreeVar(U_62, U_61) ) ) | visFreeVar(U_65, U_64) ) & ( ~( visFreeVar(U_65, U_64) ) | ( ~( U_63 = U_62 ) & visFreeVar(U_62, U_61) ) ) ) ),
% 32.66/32.99 inference(variable_rename,[status(thm)],[f_11_1]) ).
% 32.66/32.99
% 32.66/32.99 fof(f_11_3, plain,
% 32.66/32.99 ( ( ! [U_66, U_61, U_63, U_65, U_62, U_64] : ( U_65 != U_62 | U_64 != vabs(U_63, U_66, U_61) | sP4(U_61, U_63, U_65, U_62, U_64) ) ) & ( ! [U_61, U_63, U_65, U_62, U_64] : ( ~sP4(U_61, U_63, U_65, U_62, U_64) | U_63 = U_62 | ~visFreeVar(U_62, U_61) | visFreeVar(U_65, U_64) ) ) & ( ! [U_61, U_63, U_65, U_62, U_64] : ( ~sP4(U_61, U_63, U_65, U_62, U_64) | ~visFreeVar(U_65, U_64) | sP3(U_61, U_63, U_62) ) ) & ( ! [U_61, U_63, U_62] : ( ~sP3(U_61, U_63, U_62) | U_63 != U_62 ) ) & ( ! [U_61, U_63, U_62] : ( ~sP3(U_61, U_63, U_62) | visFreeVar(U_62, U_61) ) ) ),
% 32.66/32.99 inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP3, sP4])],[f_11_2]) ).
% 32.66/32.99
% 32.66/32.99 cnf(f_11_4, plain,
% 32.66/32.99 ( U_65 != U_62 | U_64 != vabs(U_63, U_66, U_61) | sP4(U_61, U_63, U_65, U_62, U_64) ),
% 32.66/32.99 inference(clausify,[status(thm)],[f_11_3]) ).
% 32.66/32.99
% 32.66/32.99 cnf(f_11_5, plain,
% 32.66/32.99 ( ~sP4(U_61, U_63, U_65, U_62, U_64) | U_63 = U_62 | ~visFreeVar(U_62, U_61) | visFreeVar(U_65, U_64) ),
% 32.66/32.99 inference(clausify,[status(thm)],[f_11_3]) ).
% 32.66/32.99
% 32.66/32.99 cnf(f_11_6, plain,
% 32.66/32.99 ( ~sP4(U_61, U_63, U_65, U_62, U_64) | ~visFreeVar(U_65, U_64) | sP3(U_61, U_63, U_62) ),
% 32.66/32.99 inference(clausify,[status(thm)],[f_11_3]) ).
% 32.66/32.99
% 32.66/32.99 cnf(f_11_7, plain,
% 32.66/32.99 ( ~sP3(U_61, U_63, U_62) | U_63 != U_62 ),
% 32.66/32.99 inference(clausify,[status(thm)],[f_11_3]) ).
% 32.66/32.99
% 32.66/32.99 cnf(f_11_8, plain,
% 32.66/32.99 ( ~sP3(U_61, U_63, U_62) | visFreeVar(U_62, U_61) ),
% 32.66/32.99 inference(clausify,[status(thm)],[f_11_3]) ).
% 32.66/32.99
% 32.66/32.99 fof(f_12_1, plain,
% 32.66/32.99 ! [ VVar0,VExp0,Ve1,Vv,Ve2 ] : ( ( ~( VVar0 = Vv ) | ~( VExp0 = vapp(Ve1, Ve2) ) ) | ( ( ( ~( visFreeVar(Vv, Ve1) ) & ~( visFreeVar(Vv, Ve2) ) ) | visFreeVar(VVar0, VExp0) ) & ( ~( visFreeVar(VVar0, VExp0) ) | ( visFreeVar(Vv, Ve1) | visFreeVar(Vv, Ve2) ) ) ) ),
% 32.66/32.99 inference(fof_nnf,[status(thm)],[isFreeVar2]) ).
% 32.66/32.99
% 32.66/32.99 fof(f_12_2, plain,
% 32.66/32.99 ! [ U_71,U_70,U_69,U_68,U_67 ] : ( ( ~( U_71 = U_68 ) | ~( U_70 = vapp(U_69, U_67) ) ) | ( ( ( ~( visFreeVar(U_68, U_69) ) & ~( visFreeVar(U_68, U_67) ) ) | visFreeVar(U_71, U_70) ) & ( ~( visFreeVar(U_71, U_70) ) | ( visFreeVar(U_68, U_69) | visFreeVar(U_68, U_67) ) ) ) ),
% 32.66/32.99 inference(variable_rename,[status(thm)],[f_12_1]) ).
% 32.66/32.99
% 32.66/32.99 fof(f_12_3, plain,
% 32.66/32.99 ( ( ! [U_71, U_67, U_69, U_70, U_68] : ( U_71 != U_68 | U_70 != vapp(U_69, U_67) | sP6(U_71, U_67, U_69, U_70, U_68) ) ) & ( ! [U_71, U_67, U_69, U_70, U_68] : ( ~sP6(U_71, U_67, U_69, U_70, U_68) | sP5(U_67, U_69, U_68) | visFreeVar(U_71, U_70) ) ) & ( ! [U_71, U_67, U_69, U_70, U_68] : ( ~sP6(U_71, U_67, U_69, U_70, U_68) | ~visFreeVar(U_71, U_70) | visFreeVar(U_68, U_69) | visFreeVar(U_68, U_67) ) ) & ( ! [U_67, U_69, U_68] : ( ~sP5(U_67, U_69, U_68) | ~visFreeVar(U_68, U_69) ) ) & ( ! [U_67, U_69, U_68] : ( ~sP5(U_67, U_69, U_68) | ~visFreeVar(U_68, U_67) ) ) ),
% 32.66/32.99 inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP5, sP6])],[f_12_2]) ).
% 32.66/32.99
% 32.66/32.99 cnf(f_12_4, plain,
% 32.66/32.99 ( U_71 != U_68 | U_70 != vapp(U_69, U_67) | sP6(U_71, U_67, U_69, U_70, U_68) ),
% 32.66/32.99 inference(clausify,[status(thm)],[f_12_3]) ).
% 32.66/32.99
% 32.66/32.99 cnf(f_12_5, plain,
% 32.66/32.99 ( ~sP6(U_71, U_67, U_69, U_70, U_68) | sP5(U_67, U_69, U_68) | visFreeVar(U_71, U_70) ),
% 32.66/32.99 inference(clausify,[status(thm)],[f_12_3]) ).
% 32.66/32.99
% 32.66/32.99 cnf(f_12_6, plain,
% 32.66/32.99 ( ~sP6(U_71, U_67, U_69, U_70, U_68) | ~visFreeVar(U_71, U_70) | visFreeVar(U_68, U_69) | visFreeVar(U_68, U_67) ),
% 32.66/32.99 inference(clausify,[status(thm)],[f_12_3]) ).
% 32.66/32.99
% 32.66/32.99 cnf(f_12_7, plain,
% 32.66/32.99 ( ~sP5(U_67, U_69, U_68) | ~visFreeVar(U_68, U_69) ),
% 32.66/32.99 inference(clausify,[status(thm)],[f_12_3]) ).
% 32.66/32.99
% 32.66/32.99 cnf(f_12_8, plain,
% 32.66/32.99 ( ~sP5(U_67, U_69, U_68) | ~visFreeVar(U_68, U_67) ),
% 32.66/32.99 inference(clausify,[status(thm)],[f_12_3]) ).
% 32.66/32.99
% 32.66/32.99 fof(f_13_1, plain,
% 32.66/32.99 ( ( ~( vempty = vempty ) | $true ) & ( ~( $true ) | vempty = vempty ) ),
% 32.66/32.99 inference(fof_nnf,[status(thm)],[EQ-empty]) ).
% 32.66/32.99
% 32.66/32.99 fof(f_13_2, plain,
% 32.66/32.99 ( ( ( vempty != vempty | $true ) ) & ( ( ~$true | vempty = vempty ) ) ),
% 32.66/32.99 inference(definitional_conversion,[status(esa)],[f_13_1]) ).
% 32.66/32.99
% 32.66/32.99 cnf(f_13_3, plain,
% 32.66/32.99 ( vempty != vempty | $true ),
% 32.66/32.99 inference(clausify,[status(thm)],[f_13_2]) ).
% 32.66/32.99
% 32.66/32.99 cnf(f_13_4, plain,
% 32.66/32.99 ( ~$true | vempty = vempty ),
% 32.66/32.99 inference(clausify,[status(thm)],[f_13_2]) ).
% 32.66/32.99
% 32.66/32.99 fof(f_14_1, plain,
% 32.66/32.99 ! [ VVar0,VTyp0,VCtx0,VVar1,VTyp1,VCtx1 ] : ( ( ~( vbind(VVar0, VTyp0, VCtx0) = vbind(VVar1, VTyp1, VCtx1) ) | ( VVar0 = VVar1 & VTyp0 = VTyp1 & VCtx0 = VCtx1 ) ) & ( ( ~( VVar0 = VVar1 ) | ~( VTyp0 = VTyp1 ) | ~( VCtx0 = VCtx1 ) ) | vbind(VVar0, VTyp0, VCtx0) = vbind(VVar1, VTyp1, VCtx1) ) ),
% 32.66/32.99 inference(fof_nnf,[status(thm)],[EQ-bind]) ).
% 32.66/32.99
% 32.66/32.99 fof(f_14_2, plain,
% 32.66/32.99 ! [ U_77,U_76,U_75,U_74,U_73,U_72 ] : ( ( ~( vbind(U_77, U_76, U_75) = vbind(U_74, U_73, U_72) ) | ( U_77 = U_74 & U_76 = U_73 & U_75 = U_72 ) ) & ( ( ~( U_77 = U_74 ) | ~( U_76 = U_73 ) | ~( U_75 = U_72 ) ) | vbind(U_77, U_76, U_75) = vbind(U_74, U_73, U_72) ) ),
% 32.66/32.99 inference(variable_rename,[status(thm)],[f_14_1]) ).
% 32.66/32.99
% 32.66/32.99 fof(f_14_3, plain,
% 32.66/32.99 ( ! [ U_88,U_86,U_84,U_82,U_80,U_78 ] : ( ~( vbind(U_88, U_86, U_84) = vbind(U_82, U_80, U_78) ) | ( U_88 = U_82 & U_86 = U_80 & U_84 = U_78 ) ) & ! [ U_89,U_87,U_85,U_83,U_81,U_79 ] : ( ( ~( U_89 = U_83 ) | ~( U_87 = U_81 ) | ~( U_85 = U_79 ) ) | vbind(U_89, U_87, U_85) = vbind(U_83, U_81, U_79) ) ),
% 32.66/32.99 inference(miniscope,[status(thm)],[f_14_2]) ).
% 32.66/32.99
% 32.66/32.99 fof(f_14_4, plain,
% 32.66/32.99 ( ( ! [U_82, U_88, U_84, U_80, U_78, U_86] : ( vbind(U_88, U_86, U_84) != vbind(U_82, U_80, U_78) | sP7(U_82, U_88, U_84, U_80, U_78, U_86) ) ) & ( ! [U_79, U_89, U_81, U_87, U_85, U_83] : ( U_89 != U_83 | U_87 != U_81 | U_85 != U_79 | vbind(U_89, U_87, U_85) = vbind(U_83, U_81, U_79) ) ) & ( ! [U_82, U_88, U_84, U_80, U_78, U_86] : ( ~sP7(U_82, U_88, U_84, U_80, U_78, U_86) | U_88 = U_82 ) ) & ( ! [U_82, U_88, U_84, U_80, U_78, U_86] : ( ~sP7(U_82, U_88, U_84, U_80, U_78, U_86) | U_86 = U_80 ) ) & ( ! [U_82, U_88, U_84, U_80, U_78, U_86] : ( ~sP7(U_82, U_88, U_84, U_80, U_78, U_86) | U_84 = U_78 ) ) ),
% 32.66/32.99 inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP7])],[f_14_3]) ).
% 32.66/32.99
% 32.66/32.99 cnf(f_14_5, plain,
% 32.66/32.99 ( vbind(U_88, U_86, U_84) != vbind(U_82, U_80, U_78) | sP7(U_82, U_88, U_84, U_80, U_78, U_86) ),
% 32.66/32.99 inference(clausify,[status(thm)],[f_14_4]) ).
% 32.66/32.99
% 32.66/32.99 cnf(f_14_6, plain,
% 32.66/32.99 ( U_89 != U_83 | U_87 != U_81 | U_85 != U_79 | vbind(U_89, U_87, U_85) = vbind(U_83, U_81, U_79) ),
% 32.66/32.99 inference(clausify,[status(thm)],[f_14_4]) ).
% 32.66/32.99
% 32.66/32.99 cnf(f_14_7, plain,
% 32.66/32.99 ( ~sP7(U_82, U_88, U_84, U_80, U_78, U_86) | U_88 = U_82 ),
% 32.66/32.99 inference(clausify,[status(thm)],[f_14_4]) ).
% 32.66/32.99
% 32.66/32.99 cnf(f_14_8, plain,
% 32.66/32.99 ( ~sP7(U_82, U_88, U_84, U_80, U_78, U_86) | U_86 = U_80 ),
% 32.66/32.99 inference(clausify,[status(thm)],[f_14_4]) ).
% 32.66/32.99
% 32.66/32.99 cnf(f_14_9, plain,
% 32.66/32.99 ( ~sP7(U_82, U_88, U_84, U_80, U_78, U_86) | U_84 = U_78 ),
% 32.66/32.99 inference(clausify,[status(thm)],[f_14_4]) ).
% 32.66/32.99
% 32.66/32.99 fof(f_15_1, plain,
% 32.66/32.99 ( ( ~( vnoType = vnoType ) | $true ) & ( ~( $true ) | vnoType = vnoType ) ),
% 32.66/32.99 inference(fof_nnf,[status(thm)],[EQ-noType]) ).
% 32.66/32.99
% 32.66/32.99 fof(f_15_2, plain,
% 32.66/32.99 ( ( ( vnoType != vnoType | $true ) ) & ( ( ~$true | vnoType = vnoType ) ) ),
% 32.66/32.99 inference(definitional_conversion,[status(esa)],[f_15_1]) ).
% 32.66/32.99
% 32.66/32.99 cnf(f_15_3, plain,
% 32.66/32.99 ( vnoType != vnoType | $true ),
% 32.66/32.99 inference(clausify,[status(thm)],[f_15_2]) ).
% 32.66/32.99
% 32.66/32.99 cnf(f_15_4, plain,
% 32.66/32.99 ( ~$true | vnoType = vnoType ),
% 32.66/32.99 inference(clausify,[status(thm)],[f_15_2]) ).
% 32.66/32.99
% 32.66/32.99 fof(f_16_1, plain,
% 32.66/32.99 ! [ VTyp0,VTyp1 ] : ( ( ~( vsomeType(VTyp0) = vsomeType(VTyp1) ) | VTyp0 = VTyp1 ) & ( ~( VTyp0 = VTyp1 ) | vsomeType(VTyp0) = vsomeType(VTyp1) ) ),
% 32.66/32.99 inference(fof_nnf,[status(thm)],[EQ-someType]) ).
% 32.66/32.99
% 32.66/32.99 fof(f_16_2, plain,
% 32.66/32.99 ! [ U_91,U_90 ] : ( ( ~( vsomeType(U_91) = vsomeType(U_90) ) | U_91 = U_90 ) & ( ~( U_91 = U_90 ) | vsomeType(U_91) = vsomeType(U_90) ) ),
% 32.66/32.99 inference(variable_rename,[status(thm)],[f_16_1]) ).
% 32.66/32.99
% 32.66/32.99 fof(f_16_3, plain,
% 32.66/32.99 ( ! [ U_94,U_92 ] : ( ~( vsomeType(U_94) = vsomeType(U_92) ) | U_94 = U_92 ) & ! [ U_95,U_93 ] : ( ~( U_95 = U_93 ) | vsomeType(U_95) = vsomeType(U_93) ) ),
% 32.66/32.99 inference(miniscope,[status(thm)],[f_16_2]) ).
% 32.66/32.99
% 32.66/32.99 fof(f_16_4, plain,
% 32.66/32.99 ( ( ! [U_92, U_94] : ( vsomeType(U_94) != vsomeType(U_92) | U_94 = U_92 ) ) & ( ! [U_93, U_95] : ( U_95 != U_93 | vsomeType(U_95) = vsomeType(U_93) ) ) ),
% 32.66/32.99 inference(definitional_conversion,[status(esa)],[f_16_3]) ).
% 32.66/32.99
% 32.66/32.99 cnf(f_16_5, plain,
% 32.66/32.99 ( vsomeType(U_94) != vsomeType(U_92) | U_94 = U_92 ),
% 32.66/32.99 inference(clausify,[status(thm)],[f_16_4]) ).
% 32.66/32.99
% 32.66/32.99 cnf(f_16_6, plain,
% 32.66/32.99 ( U_95 != U_93 | vsomeType(U_95) = vsomeType(U_93) ),
% 32.66/32.99 inference(clausify,[status(thm)],[f_16_4]) ).
% 32.66/32.99
% 32.66/32.99 fof(f_17_1, plain,
% 32.66/32.99 ! [ VVar0,VTyp0,VCtx0 ] : ~( vempty = vbind(VVar0, VTyp0, VCtx0) ),
% 32.66/32.99 inference(fof_nnf,[status(thm)],[DIFF-empty-bind]) ).
% 32.66/32.99
% 32.66/32.99 fof(f_17_2, plain,
% 32.66/32.99 ! [ U_98,U_97,U_96 ] : ~( vempty = vbind(U_98, U_97, U_96) ),
% 32.66/32.99 inference(variable_rename,[status(thm)],[f_17_1]) ).
% 32.66/32.99
% 32.66/32.99 fof(f_17_3, plain,
% 32.66/32.99 ( ( ! [U_98, U_97, U_96] : ( vempty != vbind(U_98, U_97, U_96) ) ) ),
% 32.66/32.99 inference(definitional_conversion,[status(esa)],[f_17_2]) ).
% 32.66/32.99
% 32.66/32.99 cnf(f_17_4, plain,
% 32.66/32.99 ( vempty != vbind(U_98, U_97, U_96) ),
% 32.66/32.99 inference(clausify,[status(thm)],[f_17_3]) ).
% 32.66/32.99
% 32.66/32.99 fof(f_18_1, plain,
% 32.66/32.99 ! [ VTyp0 ] : ~( vnoType = vsomeType(VTyp0) ),
% 32.66/32.99 inference(fof_nnf,[status(thm)],[DIFF-noType-someType]) ).
% 32.66/32.99
% 32.66/32.99 fof(f_18_2, plain,
% 32.66/32.99 ! [ U_99 ] : ~( vnoType = vsomeType(U_99) ),
% 32.66/32.99 inference(variable_rename,[status(thm)],[f_18_1]) ).
% 32.66/32.99
% 32.66/32.99 fof(f_18_3, plain,
% 32.66/32.99 ( ( ! [U_99] : ( vnoType != vsomeType(U_99) ) ) ),
% 32.66/32.99 inference(definitional_conversion,[status(esa)],[f_18_2]) ).
% 32.66/32.99
% 32.66/32.99 cnf(f_18_4, plain,
% 32.66/32.99 ( vnoType != vsomeType(U_99) ),
% 32.66/32.99 inference(clausify,[status(thm)],[f_18_3]) ).
% 32.66/32.99
% 32.66/32.99 fof(f_19_1, plain,
% 32.66/32.99 ! [ VOptTyp0 ] : ( ~( VOptTyp0 = vnoType ) | ~( visSomeType(VOptTyp0) ) ),
% 32.66/32.99 inference(fof_nnf,[status(thm)],[isSomeType0]) ).
% 32.66/32.99
% 32.66/32.99 fof(f_19_2, plain,
% 32.66/32.99 ! [ U_100 ] : ( ~( U_100 = vnoType ) | ~( visSomeType(U_100) ) ),
% 32.66/32.99 inference(variable_rename,[status(thm)],[f_19_1]) ).
% 32.66/32.99
% 32.66/32.99 fof(f_19_3, plain,
% 32.66/32.99 ( ( ! [U_100] : ( U_100 != vnoType | ~visSomeType(U_100) ) ) ),
% 32.66/32.99 inference(definitional_conversion,[status(esa)],[f_19_2]) ).
% 32.66/32.99
% 32.66/32.99 cnf(f_19_4, plain,
% 32.66/32.99 ( U_100 != vnoType | ~visSomeType(U_100) ),
% 32.66/32.99 inference(clausify,[status(thm)],[f_19_3]) ).
% 32.66/32.99
% 32.66/32.99 fof(f_20_1, plain,
% 32.66/33.00 ! [ Ve,VOptTyp0 ] : ( ~( VOptTyp0 = vsomeType(Ve) ) | visSomeType(VOptTyp0) ),
% 32.66/33.00 inference(fof_nnf,[status(thm)],[isSomeType1]) ).
% 32.66/33.00
% 32.66/33.00 fof(f_20_2, plain,
% 32.66/33.00 ! [ U_102,U_101 ] : ( ~( U_101 = vsomeType(U_102) ) | visSomeType(U_101) ),
% 32.66/33.00 inference(variable_rename,[status(thm)],[f_20_1]) ).
% 32.66/33.00
% 32.66/33.00 fof(f_20_3, plain,
% 32.66/33.00 ( ( ! [U_102, U_101] : ( U_101 != vsomeType(U_102) | visSomeType(U_101) ) ) ),
% 32.66/33.00 inference(definitional_conversion,[status(esa)],[f_20_2]) ).
% 32.66/33.00
% 32.66/33.00 cnf(f_20_4, plain,
% 32.66/33.00 ( U_101 != vsomeType(U_102) | visSomeType(U_101) ),
% 32.66/33.00 inference(clausify,[status(thm)],[f_20_3]) ).
% 32.66/33.00
% 32.66/33.00 fof(f_21_1, plain,
% 32.66/33.00 ! [ VOptTyp0,RESULT,Ve ] : ( ~( VOptTyp0 = vsomeType(Ve) ) | ( ~( RESULT = vgetSomeType(VOptTyp0) ) | RESULT = Ve ) ),
% 32.66/33.00 inference(fof_nnf,[status(thm)],[getSomeType0]) ).
% 32.66/33.00
% 32.66/33.00 fof(f_21_2, plain,
% 32.66/33.00 ! [ U_105,U_104,U_103 ] : ( ~( U_105 = vsomeType(U_103) ) | ( ~( U_104 = vgetSomeType(U_105) ) | U_104 = U_103 ) ),
% 32.66/33.00 inference(variable_rename,[status(thm)],[f_21_1]) ).
% 32.66/33.00
% 32.66/33.00 fof(f_21_3, plain,
% 32.66/33.00 ( ( ! [U_103, U_104, U_105] : ( U_105 != vsomeType(U_103) | U_104 != vgetSomeType(U_105) | U_104 = U_103 ) ) ),
% 32.66/33.00 inference(definitional_conversion,[status(esa)],[f_21_2]) ).
% 32.66/33.00
% 32.66/33.00 cnf(f_21_4, plain,
% 32.66/33.00 ( U_105 != vsomeType(U_103) | U_104 != vgetSomeType(U_105) | U_104 = U_103 ),
% 32.66/33.00 inference(clausify,[status(thm)],[f_21_3]) ).
% 32.66/33.00
% 32.66/33.00 fof(f_22_1, plain,
% 32.66/33.00 ! [ Vx,VVar0,VCtx0,RESULT ] : ( ( ~( VVar0 = Vx ) | ~( VCtx0 = vempty ) ) | ( ~( RESULT = vlookup(VVar0, VCtx0) ) | RESULT = vnoType ) ),
% 32.66/33.00 inference(fof_nnf,[status(thm)],[lookup0]) ).
% 32.66/33.00
% 32.66/33.00 fof(f_22_2, plain,
% 32.66/33.00 ! [ U_109,U_108,U_107,U_106 ] : ( ( ~( U_108 = U_109 ) | ~( U_107 = vempty ) ) | ( ~( U_106 = vlookup(U_108, U_107) ) | U_106 = vnoType ) ),
% 32.66/33.00 inference(variable_rename,[status(thm)],[f_22_1]) ).
% 32.66/33.00
% 32.66/33.00 fof(f_22_3, plain,
% 32.66/33.00 ! [ U_109,U_108,U_107 ] : ( ( ~( U_108 = U_109 ) | ~( U_107 = vempty ) ) | ! [ U_106 ] : ( ~( U_106 = vlookup(U_108, U_107) ) | U_106 = vnoType ) ),
% 32.66/33.00 inference(miniscope,[status(thm)],[f_22_2]) ).
% 32.66/33.00
% 32.66/33.00 fof(f_22_4, plain,
% 32.66/33.00 ( ( ! [U_109, U_107, U_106, U_108] : ( U_108 != U_109 | U_107 != vempty | U_106 != vlookup(U_108, U_107) | U_106 = vnoType ) ) ),
% 32.66/33.00 inference(definitional_conversion,[status(esa)],[f_22_3]) ).
% 32.66/33.00
% 32.66/33.00 cnf(f_22_5, plain,
% 32.66/33.00 ( U_108 != U_109 | U_107 != vempty | U_106 != vlookup(U_108, U_107) | U_106 = vnoType ),
% 32.66/33.00 inference(clausify,[status(thm)],[f_22_4]) ).
% 32.66/33.00
% 32.66/33.00 fof(f_23_1, plain,
% 32.66/33.00 ! [ VC,Vx,Vy,VVar0,VCtx0,RESULT,VTy ] : ( ( ~( VVar0 = Vx ) | ~( VCtx0 = vbind(Vy, VTy, VC) ) ) | ( ~( Vx = Vy ) | ( ~( RESULT = vlookup(VVar0, VCtx0) ) | RESULT = vsomeType(VTy) ) ) ),
% 32.66/33.00 inference(fof_nnf,[status(thm)],[lookup1]) ).
% 32.66/33.00
% 32.66/33.00 fof(f_23_2, plain,
% 32.66/33.00 ! [ U_116,U_115,U_114,U_113,U_112,U_111,U_110 ] : ( ( ~( U_113 = U_115 ) | ~( U_112 = vbind(U_114, U_110, U_116) ) ) | ( ~( U_115 = U_114 ) | ( ~( U_111 = vlookup(U_113, U_112) ) | U_111 = vsomeType(U_110) ) ) ),
% 32.66/33.00 inference(variable_rename,[status(thm)],[f_23_1]) ).
% 32.66/33.00
% 32.66/33.00 fof(f_23_3, plain,
% 32.66/33.00 ( ( ! [U_116, U_111, U_113, U_110, U_114, U_115, U_112] : ( U_113 != U_115 | U_112 != vbind(U_114, U_110, U_116) | U_115 != U_114 | U_111 != vlookup(U_113, U_112) | U_111 = vsomeType(U_110) ) ) ),
% 32.66/33.00 inference(definitional_conversion,[status(esa)],[f_23_2]) ).
% 32.66/33.00
% 32.66/33.00 cnf(f_23_4, plain,
% 32.66/33.00 ( U_113 != U_115 | U_112 != vbind(U_114, U_110, U_116) | U_115 != U_114 | U_111 != vlookup(U_113, U_112) | U_111 = vsomeType(U_110) ),
% 32.66/33.00 inference(clausify,[status(thm)],[f_23_3]) ).
% 32.66/33.00
% 32.66/33.00 fof(f_24_1, plain,
% 32.66/33.00 ! [ VTy,Vy,VVar0,VCtx0,RESULT,Vx,VC ] : ( ( ~( VVar0 = Vx ) | ~( VCtx0 = vbind(Vy, VTy, VC) ) ) | ( Vx = Vy | ( ~( RESULT = vlookup(VVar0, VCtx0) ) | RESULT = vlookup(Vx, VC) ) ) ),
% 32.66/33.00 inference(fof_nnf,[status(thm)],[lookup2]) ).
% 32.66/33.00
% 32.66/33.00 fof(f_24_2, plain,
% 32.66/33.00 ! [ U_123,U_122,U_121,U_120,U_119,U_118,U_117 ] : ( ( ~( U_121 = U_118 ) | ~( U_120 = vbind(U_122, U_123, U_117) ) ) | ( U_118 = U_122 | ( ~( U_119 = vlookup(U_121, U_120) ) | U_119 = vlookup(U_118, U_117) ) ) ),
% 32.66/33.00 inference(variable_rename,[status(thm)],[f_24_1]) ).
% 32.66/33.00
% 32.66/33.00 fof(f_24_3, plain,
% 32.66/33.00 ( ( ! [U_123, U_117, U_121, U_120, U_119, U_122, U_118] : ( U_121 != U_118 | U_120 != vbind(U_122, U_123, U_117) | U_118 = U_122 | U_119 != vlookup(U_121, U_120) | U_119 = vlookup(U_118, U_117) ) ) ),
% 32.66/33.00 inference(definitional_conversion,[status(esa)],[f_24_2]) ).
% 32.66/33.00
% 32.66/33.00 cnf(f_24_4, plain,
% 32.66/33.00 ( U_121 != U_118 | U_120 != vbind(U_122, U_123, U_117) | U_118 = U_122 | U_119 != vlookup(U_121, U_120) | U_119 = vlookup(U_118, U_117) ),
% 32.66/33.00 inference(clausify,[status(thm)],[f_24_3]) ).
% 32.66/33.00
% 32.66/33.00 fof(f_25_1, plain,
% 32.66/33.00 ! [ VVar0,VCtx0,RESULT ] : ( ~( vlookup(VVar0, VCtx0) = RESULT ) | ( ? [ Vx ] : ( VVar0 = Vx & VCtx0 = vempty & RESULT = vnoType ) | ? [ VC,Vx,Vy,VTy ] : ( VVar0 = Vx & VCtx0 = vbind(Vy, VTy, VC) & Vx = Vy & RESULT = vsomeType(VTy) ) | ? [ VTy,Vy,Vx,VC ] : ( VVar0 = Vx & VCtx0 = vbind(Vy, VTy, VC) & ~( Vx = Vy ) & RESULT = vlookup(Vx, VC) ) ) ),
% 32.66/33.00 inference(fof_nnf,[status(thm)],[lookup-INV]) ).
% 32.66/33.00
% 32.66/33.00 fof(f_25_2, plain,
% 32.66/33.00 ! [ U_135,U_134,U_133 ] : ( ~( vlookup(U_135, U_134) = U_133 ) | ( ? [ U_124 ] : ( U_135 = U_124 & U_134 = vempty & U_133 = vnoType ) | ? [ U_128,U_127,U_126,U_125 ] : ( U_135 = U_127 & U_134 = vbind(U_126, U_125, U_128) & U_127 = U_126 & U_133 = vsomeType(U_125) ) | ? [ U_132,U_131,U_130,U_129 ] : ( U_135 = U_130 & U_134 = vbind(U_131, U_132, U_129) & ~( U_130 = U_131 ) & U_133 = vlookup(U_130, U_129) ) ) ),
% 32.66/33.00 inference(variable_rename,[status(thm)],[f_25_1]) ).
% 32.66/33.00
% 32.66/33.00 fof(f_25_3, plain,
% 32.66/33.00 ! [ U_135,U_134,U_133 ] : ( ~( vlookup(U_135, U_134) = U_133 ) | ( ( U_134 = vempty & U_133 = vnoType & ? [ U_124 ] : U_135 = U_124 ) | ? [ U_128,U_127 ] : ( U_135 = U_127 & ? [ U_126 ] : ( U_127 = U_126 & ? [ U_125 ] : ( U_134 = vbind(U_126, U_125, U_128) & U_133 = vsomeType(U_125) ) ) ) | ? [ U_132,U_131,U_130 ] : ( U_135 = U_130 & ~( U_130 = U_131 ) & ? [ U_129 ] : ( U_134 = vbind(U_131, U_132, U_129) & U_133 = vlookup(U_130, U_129) ) ) ) ),
% 32.66/33.00 inference(miniscope,[status(thm)],[f_25_2]) ).
% 32.66/33.00
% 32.66/33.00 fof(f_25_4, plain,
% 32.66/33.00 ! [ U_135,U_134,U_133 ] : ( ~( vlookup(U_135, U_134) = U_133 ) | ( ( U_134 = vempty & U_133 = vnoType & U_135 = sK1(U_135, U_134, U_133) ) | ? [ U_128,U_127 ] : ( U_135 = U_127 & ? [ U_126 ] : ( U_127 = U_126 & ? [ U_125 ] : ( U_134 = vbind(U_126, U_125, U_128) & U_133 = vsomeType(U_125) ) ) ) | ? [ U_132,U_131,U_130 ] : ( U_135 = U_130 & ~( U_130 = U_131 ) & ? [ U_129 ] : ( U_134 = vbind(U_131, U_132, U_129) & U_133 = vlookup(U_130, U_129) ) ) ) ),
% 32.66/33.00 inference(skolemize,[status(esa),new_symbols(skolem,[sK1]),skolemize(U_124,sK1(U_135, U_134, U_133))],[f_25_3]) ).
% 32.66/33.00
% 32.66/33.00 fof(f_25_5, plain,
% 32.66/33.00 ! [ U_135,U_134,U_133 ] : ( ~( vlookup(U_135, U_134) = U_133 ) | ( ( U_134 = vempty & U_133 = vnoType & U_135 = sK1(U_135, U_134, U_133) ) | ? [ U_127 ] : ( U_135 = U_127 & ? [ U_126 ] : ( U_127 = U_126 & ? [ U_125 ] : ( U_134 = vbind(U_126, U_125, sK2(U_135, U_134, U_133)) & U_133 = vsomeType(U_125) ) ) ) | ? [ U_132,U_131,U_130 ] : ( U_135 = U_130 & ~( U_130 = U_131 ) & ? [ U_129 ] : ( U_134 = vbind(U_131, U_132, U_129) & U_133 = vlookup(U_130, U_129) ) ) ) ),
% 32.66/33.00 inference(skolemize,[status(esa),new_symbols(skolem,[sK2]),skolemize(U_128,sK2(U_135, U_134, U_133))],[f_25_4]) ).
% 32.66/33.00
% 32.66/33.00 fof(f_25_6, plain,
% 32.66/33.00 ! [ U_135,U_134,U_133 ] : ( ~( vlookup(U_135, U_134) = U_133 ) | ( ( U_134 = vempty & U_133 = vnoType & U_135 = sK1(U_135, U_134, U_133) ) | ( U_135 = sK3(U_135, U_134, U_133) & ? [ U_126 ] : ( sK3(U_135, U_134, U_133) = U_126 & ? [ U_125 ] : ( U_134 = vbind(U_126, U_125, sK2(U_135, U_134, U_133)) & U_133 = vsomeType(U_125) ) ) ) | ? [ U_132,U_131,U_130 ] : ( U_135 = U_130 & ~( U_130 = U_131 ) & ? [ U_129 ] : ( U_134 = vbind(U_131, U_132, U_129) & U_133 = vlookup(U_130, U_129) ) ) ) ),
% 32.66/33.00 inference(skolemize,[status(esa),new_symbols(skolem,[sK3]),skolemize(U_127,sK3(U_135, U_134, U_133))],[f_25_5]) ).
% 32.66/33.00
% 32.66/33.00 fof(f_25_7, plain,
% 32.66/33.00 ! [ U_135,U_134,U_133 ] : ( ~( vlookup(U_135, U_134) = U_133 ) | ( ( U_134 = vempty & U_133 = vnoType & U_135 = sK1(U_135, U_134, U_133) ) | ( U_135 = sK3(U_135, U_134, U_133) & ( sK3(U_135, U_134, U_133) = sK4(U_135, U_134, U_133) & ? [ U_125 ] : ( U_134 = vbind(sK4(U_135, U_134, U_133), U_125, sK2(U_135, U_134, U_133)) & U_133 = vsomeType(U_125) ) ) ) | ? [ U_132,U_131,U_130 ] : ( U_135 = U_130 & ~( U_130 = U_131 ) & ? [ U_129 ] : ( U_134 = vbind(U_131, U_132, U_129) & U_133 = vlookup(U_130, U_129) ) ) ) ),
% 32.66/33.00 inference(skolemize,[status(esa),new_symbols(skolem,[sK4]),skolemize(U_126,sK4(U_135, U_134, U_133))],[f_25_6]) ).
% 32.66/33.00
% 32.66/33.00 fof(f_25_8, plain,
% 32.66/33.00 ! [ U_135,U_134,U_133 ] : ( ~( vlookup(U_135, U_134) = U_133 ) | ( ( U_134 = vempty & U_133 = vnoType & U_135 = sK1(U_135, U_134, U_133) ) | ( U_135 = sK3(U_135, U_134, U_133) & ( sK3(U_135, U_134, U_133) = sK4(U_135, U_134, U_133) & ( U_134 = vbind(sK4(U_135, U_134, U_133), sK5(U_135, U_134, U_133), sK2(U_135, U_134, U_133)) & U_133 = vsomeType(sK5(U_135, U_134, U_133)) ) ) ) | ? [ U_132,U_131,U_130 ] : ( U_135 = U_130 & ~( U_130 = U_131 ) & ? [ U_129 ] : ( U_134 = vbind(U_131, U_132, U_129) & U_133 = vlookup(U_130, U_129) ) ) ) ),
% 32.66/33.00 inference(skolemize,[status(esa),new_symbols(skolem,[sK5]),skolemize(U_125,sK5(U_135, U_134, U_133))],[f_25_7]) ).
% 32.66/33.00
% 32.66/33.00 fof(f_25_9, plain,
% 32.66/33.00 ! [ U_135,U_134,U_133 ] : ( ~( vlookup(U_135, U_134) = U_133 ) | ( ( U_134 = vempty & U_133 = vnoType & U_135 = sK1(U_135, U_134, U_133) ) | ( U_135 = sK3(U_135, U_134, U_133) & ( sK3(U_135, U_134, U_133) = sK4(U_135, U_134, U_133) & ( U_134 = vbind(sK4(U_135, U_134, U_133), sK5(U_135, U_134, U_133), sK2(U_135, U_134, U_133)) & U_133 = vsomeType(sK5(U_135, U_134, U_133)) ) ) ) | ? [ U_131,U_130 ] : ( U_135 = U_130 & ~( U_130 = U_131 ) & ? [ U_129 ] : ( U_134 = vbind(U_131, sK6(U_135, U_134, U_133), U_129) & U_133 = vlookup(U_130, U_129) ) ) ) ),
% 32.66/33.00 inference(skolemize,[status(esa),new_symbols(skolem,[sK6]),skolemize(U_132,sK6(U_135, U_134, U_133))],[f_25_8]) ).
% 32.66/33.00
% 32.66/33.00 fof(f_25_10, plain,
% 32.66/33.00 ! [ U_135,U_134,U_133 ] : ( ~( vlookup(U_135, U_134) = U_133 ) | ( ( U_134 = vempty & U_133 = vnoType & U_135 = sK1(U_135, U_134, U_133) ) | ( U_135 = sK3(U_135, U_134, U_133) & ( sK3(U_135, U_134, U_133) = sK4(U_135, U_134, U_133) & ( U_134 = vbind(sK4(U_135, U_134, U_133), sK5(U_135, U_134, U_133), sK2(U_135, U_134, U_133)) & U_133 = vsomeType(sK5(U_135, U_134, U_133)) ) ) ) | ? [ U_130 ] : ( U_135 = U_130 & ~( U_130 = sK7(U_135, U_134, U_133) ) & ? [ U_129 ] : ( U_134 = vbind(sK7(U_135, U_134, U_133), sK6(U_135, U_134, U_133), U_129) & U_133 = vlookup(U_130, U_129) ) ) ) ),
% 32.66/33.00 inference(skolemize,[status(esa),new_symbols(skolem,[sK7]),skolemize(U_131,sK7(U_135, U_134, U_133))],[f_25_9]) ).
% 32.66/33.00
% 32.66/33.00 fof(f_25_11, plain,
% 32.66/33.00 ! [ U_135,U_134,U_133 ] : ( ~( vlookup(U_135, U_134) = U_133 ) | ( ( U_134 = vempty & U_133 = vnoType & U_135 = sK1(U_135, U_134, U_133) ) | ( U_135 = sK3(U_135, U_134, U_133) & ( sK3(U_135, U_134, U_133) = sK4(U_135, U_134, U_133) & ( U_134 = vbind(sK4(U_135, U_134, U_133), sK5(U_135, U_134, U_133), sK2(U_135, U_134, U_133)) & U_133 = vsomeType(sK5(U_135, U_134, U_133)) ) ) ) | ( U_135 = sK8(U_135, U_134, U_133) & ~( sK8(U_135, U_134, U_133) = sK7(U_135, U_134, U_133) ) & ? [ U_129 ] : ( U_134 = vbind(sK7(U_135, U_134, U_133), sK6(U_135, U_134, U_133), U_129) & U_133 = vlookup(sK8(U_135, U_134, U_133), U_129) ) ) ) ),
% 32.66/33.00 inference(skolemize,[status(esa),new_symbols(skolem,[sK8]),skolemize(U_130,sK8(U_135, U_134, U_133))],[f_25_10]) ).
% 32.66/33.00
% 32.66/33.00 fof(f_25_12, plain,
% 32.66/33.00 ! [ U_135,U_134,U_133 ] : ( ~( vlookup(U_135, U_134) = U_133 ) | ( ( U_134 = vempty & U_133 = vnoType & U_135 = sK1(U_135, U_134, U_133) ) | ( U_135 = sK3(U_135, U_134, U_133) & ( sK3(U_135, U_134, U_133) = sK4(U_135, U_134, U_133) & ( U_134 = vbind(sK4(U_135, U_134, U_133), sK5(U_135, U_134, U_133), sK2(U_135, U_134, U_133)) & U_133 = vsomeType(sK5(U_135, U_134, U_133)) ) ) ) | ( U_135 = sK8(U_135, U_134, U_133) & ~( sK8(U_135, U_134, U_133) = sK7(U_135, U_134, U_133) ) & ( U_134 = vbind(sK7(U_135, U_134, U_133), sK6(U_135, U_134, U_133), sK9(U_135, U_134, U_133)) & U_133 = vlookup(sK8(U_135, U_134, U_133), sK9(U_135, U_134, U_133)) ) ) ) ),
% 32.66/33.00 inference(skolemize,[status(esa),new_symbols(skolem,[sK9]),skolemize(U_129,sK9(U_135, U_134, U_133))],[f_25_11]) ).
% 32.66/33.00
% 32.66/33.00 fof(f_25_13, plain,
% 32.66/33.00 ( ( ! [U_135, U_133, U_134] : ( vlookup(U_135, U_134) != U_133 | sP8(U_135, U_133, U_134) | sP9(U_135, U_133, U_134) | sP10(U_135, U_133, U_134) ) ) & ( ! [U_135, U_133, U_134] : ( ~sP8(U_135, U_133, U_134) | U_134 = vempty ) ) & ( ! [U_135, U_133, U_134] : ( ~sP8(U_135, U_133, U_134) | U_133 = vnoType ) ) & ( ! [U_135, U_133, U_134] : ( ~sP8(U_135, U_133, U_134) | U_135 = sK1(U_135, U_134, U_133) ) ) & ( ! [U_135, U_133, U_134] : ( ~sP9(U_135, U_133, U_134) | U_135 = sK3(U_135, U_134, U_133) ) ) & ( ! [U_135, U_133, U_134] : ( ~sP9(U_135, U_133, U_134) | sK3(U_135, U_134, U_133) = sK4(U_135, U_134, U_133) ) ) & ( ! [U_135, U_133, U_134] : ( ~sP9(U_135, U_133, U_134) | U_134 = vbind(sK4(U_135, U_134, U_133), sK5(U_135, U_134, U_133), sK2(U_135, U_134, U_133)) ) ) & ( ! [U_135, U_133, U_134] : ( ~sP9(U_135, U_133, U_134) | U_133 = vsomeType(sK5(U_135, U_134, U_133)) ) ) & ( ! [U_135, U_133, U_134] : ( ~sP10(U_135, U_133, U_134) | U_135 = sK8(U_135, U_134, U_133) ) ) & ( ! [U_135, U_133, U_134] : ( ~sP10(U_135, U_133, U_134) | sK8(U_135, U_134, U_133) != sK7(U_135, U_134, U_133) ) ) & ( ! [U_135, U_133, U_134] : ( ~sP10(U_135, U_133, U_134) | U_134 = vbind(sK7(U_135, U_134, U_133), sK6(U_135, U_134, U_133), sK9(U_135, U_134, U_133)) ) ) & ( ! [U_135, U_133, U_134] : ( ~sP10(U_135, U_133, U_134) | U_133 = vlookup(sK8(U_135, U_134, U_133), sK9(U_135, U_134, U_133)) ) ) ),
% 32.66/33.00 inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP8, sP9, sP10])],[f_25_12]) ).
% 32.66/33.00
% 32.66/33.00 cnf(f_25_14, plain,
% 32.66/33.00 ( vlookup(U_135, U_134) != U_133 | sP8(U_135, U_133, U_134) | sP9(U_135, U_133, U_134) | sP10(U_135, U_133, U_134) ),
% 32.66/33.00 inference(clausify,[status(thm)],[f_25_13]) ).
% 32.66/33.00
% 32.66/33.00 cnf(f_25_15, plain,
% 32.66/33.00 ( ~sP8(U_135, U_133, U_134) | U_134 = vempty ),
% 32.66/33.00 inference(clausify,[status(thm)],[f_25_13]) ).
% 32.66/33.00
% 32.66/33.00 cnf(f_25_16, plain,
% 32.66/33.00 ( ~sP8(U_135, U_133, U_134) | U_133 = vnoType ),
% 32.66/33.00 inference(clausify,[status(thm)],[f_25_13]) ).
% 32.66/33.00
% 32.66/33.00 cnf(f_25_17, plain,
% 32.66/33.00 ( ~sP8(U_135, U_133, U_134) | U_135 = sK1(U_135, U_134, U_133) ),
% 32.66/33.00 inference(clausify,[status(thm)],[f_25_13]) ).
% 32.66/33.00
% 32.66/33.00 cnf(f_25_18, plain,
% 32.66/33.00 ( ~sP9(U_135, U_133, U_134) | U_135 = sK3(U_135, U_134, U_133) ),
% 32.66/33.00 inference(clausify,[status(thm)],[f_25_13]) ).
% 32.66/33.00
% 32.66/33.00 cnf(f_25_19, plain,
% 32.66/33.00 ( ~sP9(U_135, U_133, U_134) | sK3(U_135, U_134, U_133) = sK4(U_135, U_134, U_133) ),
% 32.66/33.00 inference(clausify,[status(thm)],[f_25_13]) ).
% 32.66/33.00
% 32.66/33.00 cnf(f_25_20, plain,
% 32.66/33.00 ( ~sP9(U_135, U_133, U_134) | U_134 = vbind(sK4(U_135, U_134, U_133), sK5(U_135, U_134, U_133), sK2(U_135, U_134, U_133)) ),
% 32.66/33.00 inference(clausify,[status(thm)],[f_25_13]) ).
% 32.66/33.00
% 32.66/33.00 cnf(f_25_21, plain,
% 32.66/33.00 ( ~sP9(U_135, U_133, U_134) | U_133 = vsomeType(sK5(U_135, U_134, U_133)) ),
% 32.66/33.00 inference(clausify,[status(thm)],[f_25_13]) ).
% 32.66/33.00
% 32.66/33.00 cnf(f_25_22, plain,
% 32.66/33.00 ( ~sP10(U_135, U_133, U_134) | U_135 = sK8(U_135, U_134, U_133) ),
% 32.66/33.00 inference(clausify,[status(thm)],[f_25_13]) ).
% 32.66/33.00
% 32.66/33.00 cnf(f_25_23, plain,
% 32.66/33.00 ( ~sP10(U_135, U_133, U_134) | sK8(U_135, U_134, U_133) != sK7(U_135, U_134, U_133) ),
% 32.66/33.00 inference(clausify,[status(thm)],[f_25_13]) ).
% 32.66/33.00
% 32.66/33.00 cnf(f_25_24, plain,
% 32.66/33.00 ( ~sP10(U_135, U_133, U_134) | U_134 = vbind(sK7(U_135, U_134, U_133), sK6(U_135, U_134, U_133), sK9(U_135, U_134, U_133)) ),
% 32.66/33.00 inference(clausify,[status(thm)],[f_25_13]) ).
% 32.66/33.00
% 32.66/33.00 cnf(f_25_25, plain,
% 32.66/33.00 ( ~sP10(U_135, U_133, U_134) | U_133 = vlookup(sK8(U_135, U_134, U_133), sK9(U_135, U_134, U_133)) ),
% 32.66/33.00 inference(clausify,[status(thm)],[f_25_13]) ).
% 32.66/33.00
% 32.66/33.00 fof(f_26_1, plain,
% 32.66/33.00 ! [ Vy,VTy,Vx,VTx,VC,Ve,VT ] : ( ( ~( Vx = Vy ) | ~( vtcheck(vbind(Vx, VTx, vbind(Vy, VTy, VC)), Ve, VT) ) ) | vtcheck(vbind(Vx, VTx, VC), Ve, VT) ),
% 32.66/33.00 inference(fof_nnf,[status(thm)],[T-Context-Duplicate]) ).
% 32.66/33.00
% 32.66/33.00 fof(f_26_2, plain,
% 32.66/33.00 ! [ U_142,U_141,U_140,U_139,U_138,U_137,U_136 ] : ( ( ~( U_140 = U_142 ) | ~( vtcheck(vbind(U_140, U_139, vbind(U_142, U_141, U_138)), U_137, U_136) ) ) | vtcheck(vbind(U_140, U_139, U_138), U_137, U_136) ),
% 32.66/33.00 inference(variable_rename,[status(thm)],[f_26_1]) ).
% 32.66/33.00
% 32.66/33.00 fof(f_26_3, plain,
% 32.66/33.00 ( ( ! [U_137, U_140, U_141, U_138, U_136, U_142, U_139] : ( U_140 != U_142 | ~vtcheck(vbind(U_140, U_139, vbind(U_142, U_141, U_138)), U_137, U_136) | vtcheck(vbind(U_140, U_139, U_138), U_137, U_136) ) ) ),
% 32.66/33.00 inference(definitional_conversion,[status(esa)],[f_26_2]) ).
% 32.66/33.00
% 32.66/33.00 cnf(f_26_4, plain,
% 32.66/33.00 ( U_140 != U_142 | ~vtcheck(vbind(U_140, U_139, vbind(U_142, U_141, U_138)), U_137, U_136) | vtcheck(vbind(U_140, U_139, U_138), U_137, U_136) ),
% 32.66/33.00 inference(clausify,[status(thm)],[f_26_3]) ).
% 32.66/33.00
% 32.66/33.00 fof(f_27_1, plain,
% 32.66/33.00 ! [ Vy,VTy,Vx,VTx,VC,Ve,VT ] : ( ( Vx = Vy | ~( vtcheck(vbind(Vx, VTx, vbind(Vy, VTy, VC)), Ve, VT) ) ) | vtcheck(vbind(Vy, VTy, vbind(Vx, VTx, VC)), Ve, VT) ),
% 32.66/33.00 inference(fof_nnf,[status(thm)],[T-Context-Swap]) ).
% 32.66/33.00
% 32.66/33.00 fof(f_27_2, plain,
% 32.66/33.00 ! [ U_149,U_148,U_147,U_146,U_145,U_144,U_143 ] : ( ( U_147 = U_149 | ~( vtcheck(vbind(U_147, U_146, vbind(U_149, U_148, U_145)), U_144, U_143) ) ) | vtcheck(vbind(U_149, U_148, vbind(U_147, U_146, U_145)), U_144, U_143) ),
% 32.66/33.00 inference(variable_rename,[status(thm)],[f_27_1]) ).
% 32.66/33.00
% 32.66/33.00 fof(f_27_3, plain,
% 32.66/33.00 ( ( ! [U_146, U_145, U_144, U_149, U_148, U_147, U_143] : ( U_147 = U_149 | ~vtcheck(vbind(U_147, U_146, vbind(U_149, U_148, U_145)), U_144, U_143) | vtcheck(vbind(U_149, U_148, vbind(U_147, U_146, U_145)), U_144, U_143) ) ) ),
% 32.66/33.00 inference(definitional_conversion,[status(esa)],[f_27_2]) ).
% 32.66/33.00
% 32.66/33.00 cnf(f_27_4, plain,
% 32.66/33.00 ( U_147 = U_149 | ~vtcheck(vbind(U_147, U_146, vbind(U_149, U_148, U_145)), U_144, U_143) | vtcheck(vbind(U_149, U_148, vbind(U_147, U_146, U_145)), U_144, U_143) ),
% 32.66/33.00 inference(clausify,[status(thm)],[f_27_3]) ).
% 32.66/33.00
% 32.66/33.00 fof(f_28_1, plain,
% 32.66/33.00 ! [ Vv,Ve ] : ( ~( vgensym(Ve) = Vv ) | ~( visFreeVar(Vv, Ve) ) ),
% 32.66/33.00 inference(fof_nnf,[status(thm)],[gensym-is-fresh]) ).
% 32.66/33.00
% 32.66/33.00 fof(f_28_2, plain,
% 32.66/33.00 ! [ U_151,U_150 ] : ( ~( vgensym(U_150) = U_151 ) | ~( visFreeVar(U_151, U_150) ) ),
% 32.66/33.00 inference(variable_rename,[status(thm)],[f_28_1]) ).
% 32.66/33.00
% 32.66/33.00 fof(f_28_3, plain,
% 32.66/33.00 ( ( ! [U_150, U_151] : ( vgensym(U_150) != U_151 | ~visFreeVar(U_151, U_150) ) ) ),
% 32.66/33.00 inference(definitional_conversion,[status(esa)],[f_28_2]) ).
% 32.66/33.00
% 32.66/33.00 cnf(f_28_4, plain,
% 32.66/33.00 ( vgensym(U_150) != U_151 | ~visFreeVar(U_151, U_150) ),
% 32.66/33.00 inference(clausify,[status(thm)],[f_28_3]) ).
% 32.66/33.00
% 32.66/33.00 fof(f_29_1, plain,
% 32.66/33.00 ! [ Vx,Vy,VVar0,VExp0,VExp1,RESULT,Ve ] : ( ( ~( VVar0 = Vx ) | ~( VExp0 = Ve ) | ~( VExp1 = vvar(Vy) ) ) | ( ~( Vx = Vy ) | ( ~( RESULT = vsubst(VVar0, VExp0, VExp1) ) | RESULT = Ve ) ) ),
% 32.66/33.00 inference(fof_nnf,[status(thm)],[subst0]) ).
% 32.66/33.00
% 32.66/33.00 fof(f_29_2, plain,
% 32.66/33.00 ! [ U_158,U_157,U_156,U_155,U_154,U_153,U_152 ] : ( ( ~( U_156 = U_158 ) | ~( U_155 = U_152 ) | ~( U_154 = vvar(U_157) ) ) | ( ~( U_158 = U_157 ) | ( ~( U_153 = vsubst(U_156, U_155, U_154) ) | U_153 = U_152 ) ) ),
% 32.66/33.00 inference(variable_rename,[status(thm)],[f_29_1]) ).
% 32.66/33.00
% 32.66/33.00 fof(f_29_3, plain,
% 32.66/33.00 ( ( ! [U_153, U_156, U_155, U_158, U_152, U_154, U_157] : ( U_156 != U_158 | U_155 != U_152 | U_154 != vvar(U_157) | U_158 != U_157 | U_153 != vsubst(U_156, U_155, U_154) | U_153 = U_152 ) ) ),
% 32.66/33.00 inference(definitional_conversion,[status(esa)],[f_29_2]) ).
% 32.66/33.00
% 32.66/33.00 cnf(f_29_4, plain,
% 32.66/33.00 ( U_156 != U_158 | U_155 != U_152 | U_154 != vvar(U_157) | U_158 != U_157 | U_153 != vsubst(U_156, U_155, U_154) | U_153 = U_152 ),
% 32.66/33.00 inference(clausify,[status(thm)],[f_29_3]) ).
% 32.66/33.00
% 32.66/33.00 fof(f_30_1, plain,
% 32.66/33.00 ! [ Ve,Vx,VVar0,VExp0,VExp1,RESULT,Vy ] : ( ( ~( VVar0 = Vx ) | ~( VExp0 = Ve ) | ~( VExp1 = vvar(Vy) ) ) | ( Vx = Vy | ( ~( RESULT = vsubst(VVar0, VExp0, VExp1) ) | RESULT = vvar(Vy) ) ) ),
% 32.66/33.00 inference(fof_nnf,[status(thm)],[subst1]) ).
% 32.66/33.00
% 32.66/33.00 fof(f_30_2, plain,
% 32.66/33.00 ! [ U_165,U_164,U_163,U_162,U_161,U_160,U_159 ] : ( ( ~( U_163 = U_164 ) | ~( U_162 = U_165 ) | ~( U_161 = vvar(U_159) ) ) | ( U_164 = U_159 | ( ~( U_160 = vsubst(U_163, U_162, U_161) ) | U_160 = vvar(U_159) ) ) ),
% 32.66/33.00 inference(variable_rename,[status(thm)],[f_30_1]) ).
% 32.66/33.00
% 32.66/33.00 fof(f_30_3, plain,
% 32.66/33.00 ( ( ! [U_160, U_164, U_162, U_165, U_163, U_161, U_159] : ( U_163 != U_164 | U_162 != U_165 | U_161 != vvar(U_159) | U_164 = U_159 | U_160 != vsubst(U_163, U_162, U_161) | U_160 = vvar(U_159) ) ) ),
% 32.66/33.00 inference(definitional_conversion,[status(esa)],[f_30_2]) ).
% 32.66/33.00
% 32.66/33.00 cnf(f_30_4, plain,
% 32.66/33.00 ( U_163 != U_164 | U_162 != U_165 | U_161 != vvar(U_159) | U_164 = U_159 | U_160 != vsubst(U_163, U_162, U_161) | U_160 = vvar(U_159) ),
% 32.66/33.00 inference(clausify,[status(thm)],[f_30_3]) ).
% 32.66/33.00
% 32.66/33.00 fof(f_31_1, plain,
% 32.66/33.00 ! [ VVar0,VExp0,VExp1,RESULT,Ve1,Vx,Ve,Ve2 ] : ( ( ~( VVar0 = Vx ) | ~( VExp0 = Ve ) | ~( VExp1 = vapp(Ve1, Ve2) ) ) | ( ~( RESULT = vsubst(VVar0, VExp0, VExp1) ) | RESULT = vapp(vsubst(Vx, Ve, Ve1), vsubst(Vx, Ve, Ve2)) ) ),
% 32.66/33.00 inference(fof_nnf,[status(thm)],[subst2]) ).
% 32.66/33.00
% 32.66/33.00 fof(f_31_2, plain,
% 32.66/33.00 ! [ U_173,U_172,U_171,U_170,U_169,U_168,U_167,U_166 ] : ( ( ~( U_173 = U_168 ) | ~( U_172 = U_167 ) | ~( U_171 = vapp(U_169, U_166) ) ) | ( ~( U_170 = vsubst(U_173, U_172, U_171) ) | U_170 = vapp(vsubst(U_168, U_167, U_169), vsubst(U_168, U_167, U_166)) ) ),
% 32.66/33.00 inference(variable_rename,[status(thm)],[f_31_1]) ).
% 32.66/33.00
% 32.66/33.00 fof(f_31_3, plain,
% 32.66/33.00 ( ( ! [U_171, U_168, U_169, U_173, U_167, U_172, U_166, U_170] : ( U_173 != U_168 | U_172 != U_167 | U_171 != vapp(U_169, U_166) | U_170 != vsubst(U_173, U_172, U_171) | U_170 = vapp(vsubst(U_168, U_167, U_169), vsubst(U_168, U_167, U_166)) ) ) ),
% 32.66/33.00 inference(definitional_conversion,[status(esa)],[f_31_2]) ).
% 32.66/33.00
% 32.66/33.00 cnf(f_31_4, plain,
% 32.66/33.00 ( U_173 != U_168 | U_172 != U_167 | U_171 != vapp(U_169, U_166) | U_170 != vsubst(U_173, U_172, U_171) | U_170 = vapp(vsubst(U_168, U_167, U_169), vsubst(U_168, U_167, U_166)) ),
% 32.66/33.00 inference(clausify,[status(thm)],[f_31_3]) ).
% 32.66/33.00
% 32.66/33.00 fof(f_32_1, plain,
% 32.66/33.00 ! [ Ve,Vx,VVar0,VExp0,VExp1,RESULT,Vy,VT,Ve1 ] : ( ( ~( VVar0 = Vx ) | ~( VExp0 = Ve ) | ~( VExp1 = vabs(Vy, VT, Ve1) ) ) | ( ~( Vx = Vy ) | ( ~( RESULT = vsubst(VVar0, VExp0, VExp1) ) | RESULT = vabs(Vy, VT, Ve1) ) ) ),
% 32.66/33.00 inference(fof_nnf,[status(thm)],[subst3]) ).
% 32.66/33.00
% 32.66/33.00 fof(f_32_2, plain,
% 32.66/33.00 ! [ U_182,U_181,U_180,U_179,U_178,U_177,U_176,U_175,U_174 ] : ( ( ~( U_180 = U_181 ) | ~( U_179 = U_182 ) | ~( U_178 = vabs(U_176, U_175, U_174) ) ) | ( ~( U_181 = U_176 ) | ( ~( U_177 = vsubst(U_180, U_179, U_178) ) | U_177 = vabs(U_176, U_175, U_174) ) ) ),
% 32.66/33.00 inference(variable_rename,[status(thm)],[f_32_1]) ).
% 32.66/33.00
% 32.66/33.00 fof(f_32_3, plain,
% 32.66/33.00 ( ( ! [U_181, U_180, U_174, U_182, U_175, U_177, U_179, U_176, U_178] : ( U_180 != U_181 | U_179 != U_182 | U_178 != vabs(U_176, U_175, U_174) | U_181 != U_176 | U_177 != vsubst(U_180, U_179, U_178) | U_177 = vabs(U_176, U_175, U_174) ) ) ),
% 32.66/33.00 inference(definitional_conversion,[status(esa)],[f_32_2]) ).
% 32.66/33.00
% 32.66/33.00 cnf(f_32_4, plain,
% 32.66/33.00 ( U_180 != U_181 | U_179 != U_182 | U_178 != vabs(U_176, U_175, U_174) | U_181 != U_176 | U_177 != vsubst(U_180, U_179, U_178) | U_177 = vabs(U_176, U_175, U_174) ),
% 32.66/33.00 inference(clausify,[status(thm)],[f_32_3]) ).
% 32.66/33.00
% 32.66/33.00 fof(f_33_1, plain,
% 32.66/33.00 ! [ VVar0,VExp0,VExp1,RESULT,Vx,Ve,VT,Vy,Vfresh,Ve1 ] : ( ( ~( VVar0 = Vx ) | ~( VExp0 = Ve ) | ~( VExp1 = vabs(Vy, VT, Ve1) ) ) | ( ( Vx = Vy | ~( visFreeVar(Vy, Ve) ) | ~( Vfresh = vgensym(vapp(vapp(Ve, Ve1), vvar(Vx))) ) ) | ( ~( RESULT = vsubst(VVar0, VExp0, VExp1) ) | RESULT = vsubst(Vx, Ve, vabs(Vfresh, VT, vsubst(Vy, vvar(Vfresh), Ve1))) ) ) ),
% 32.66/33.00 inference(fof_nnf,[status(thm)],[subst4]) ).
% 32.66/33.00
% 32.66/33.00 fof(f_33_2, plain,
% 32.66/33.00 ! [ U_192,U_191,U_190,U_189,U_188,U_187,U_186,U_185,U_184,U_183 ] : ( ( ~( U_192 = U_188 ) | ~( U_191 = U_187 ) | ~( U_190 = vabs(U_185, U_186, U_183) ) ) | ( ( U_188 = U_185 | ~( visFreeVar(U_185, U_187) ) | ~( U_184 = vgensym(vapp(vapp(U_187, U_183), vvar(U_188))) ) ) | ( ~( U_189 = vsubst(U_192, U_191, U_190) ) | U_189 = vsubst(U_188, U_187, vabs(U_184, U_186, vsubst(U_185, vvar(U_184), U_183))) ) ) ),
% 32.66/33.00 inference(variable_rename,[status(thm)],[f_33_1]) ).
% 32.66/33.00
% 32.66/33.00 fof(f_33_3, plain,
% 32.66/33.00 ( ( ! [U_183, U_189, U_185, U_186, U_192, U_187, U_184, U_190, U_188, U_191] : ( U_192 != U_188 | U_191 != U_187 | U_190 != vabs(U_185, U_186, U_183) | U_188 = U_185 | ~visFreeVar(U_185, U_187) | U_184 != vgensym(vapp(vapp(U_187, U_183), vvar(U_188))) | U_189 != vsubst(U_192, U_191, U_190) | U_189 = vsubst(U_188, U_187, vabs(U_184, U_186, vsubst(U_185, vvar(U_184), U_183))) ) ) ),
% 32.66/33.00 inference(definitional_conversion,[status(esa)],[f_33_2]) ).
% 32.66/33.00
% 32.66/33.00 cnf(f_33_4, plain,
% 32.66/33.00 ( U_192 != U_188 | U_191 != U_187 | U_190 != vabs(U_185, U_186, U_183) | U_188 = U_185 | ~visFreeVar(U_185, U_187) | U_184 != vgensym(vapp(vapp(U_187, U_183), vvar(U_188))) | U_189 != vsubst(U_192, U_191, U_190) | U_189 = vsubst(U_188, U_187, vabs(U_184, U_186, vsubst(U_185, vvar(U_184), U_183))) ),
% 32.66/33.00 inference(clausify,[status(thm)],[f_33_3]) ).
% 32.66/33.00
% 32.66/33.00 fof(f_34_1, plain,
% 32.66/33.00 ! [ VVar0,VExp0,VExp1,RESULT,Vy,VT,Vx,Ve,Ve1 ] : ( ( ~( VVar0 = Vx ) | ~( VExp0 = Ve ) | ~( VExp1 = vabs(Vy, VT, Ve1) ) ) | ( ( Vx = Vy | visFreeVar(Vy, Ve) ) | ( ~( RESULT = vsubst(VVar0, VExp0, VExp1) ) | RESULT = vabs(Vy, VT, vsubst(Vx, Ve, Ve1)) ) ) ),
% 32.66/33.00 inference(fof_nnf,[status(thm)],[subst5]) ).
% 32.66/33.00
% 32.66/33.00 fof(f_34_2, plain,
% 32.66/33.00 ! [ U_201,U_200,U_199,U_198,U_197,U_196,U_195,U_194,U_193 ] : ( ( ~( U_201 = U_195 ) | ~( U_200 = U_194 ) | ~( U_199 = vabs(U_197, U_196, U_193) ) ) | ( ( U_195 = U_197 | visFreeVar(U_197, U_194) ) | ( ~( U_198 = vsubst(U_201, U_200, U_199) ) | U_198 = vabs(U_197, U_196, vsubst(U_195, U_194, U_193)) ) ) ),
% 32.66/33.00 inference(variable_rename,[status(thm)],[f_34_1]) ).
% 32.66/33.00
% 32.66/33.00 fof(f_34_3, plain,
% 32.66/33.00 ( ( ! [U_200, U_193, U_196, U_201, U_199, U_198, U_195, U_197, U_194] : ( U_201 != U_195 | U_200 != U_194 | U_199 != vabs(U_197, U_196, U_193) | U_195 = U_197 | visFreeVar(U_197, U_194) | U_198 != vsubst(U_201, U_200, U_199) | U_198 = vabs(U_197, U_196, vsubst(U_195, U_194, U_193)) ) ) ),
% 32.66/33.00 inference(definitional_conversion,[status(esa)],[f_34_2]) ).
% 32.66/33.00
% 32.66/33.00 cnf(f_34_4, plain,
% 32.66/33.00 ( U_201 != U_195 | U_200 != U_194 | U_199 != vabs(U_197, U_196, U_193) | U_195 = U_197 | visFreeVar(U_197, U_194) | U_198 != vsubst(U_201, U_200, U_199) | U_198 = vabs(U_197, U_196, vsubst(U_195, U_194, U_193)) ),
% 32.66/33.00 inference(clausify,[status(thm)],[f_34_3]) ).
% 32.66/33.00
% 32.66/33.00 fof(f_35_1, plain,
% 32.66/33.00 ! [ VVar0,VExp0,VExp1,RESULT ] : ( ~( vsubst(VVar0, VExp0, VExp1) = RESULT ) | ( ? [ Vx,Vy,Ve ] : ( VVar0 = Vx & VExp0 = Ve & VExp1 = vvar(Vy) & Vx = Vy & RESULT = Ve ) | ? [ Ve,Vx,Vy ] : ( VVar0 = Vx & VExp0 = Ve & VExp1 = vvar(Vy) & ~( Vx = Vy ) & RESULT = vvar(Vy) ) | ? [ Ve1,Vx,Ve,Ve2 ] : ( VVar0 = Vx & VExp0 = Ve & VExp1 = vapp(Ve1, Ve2) & RESULT = vapp(vsubst(Vx, Ve, Ve1), vsubst(Vx, Ve, Ve2)) ) | ? [ Ve,Vx,Vy,VT,Ve1 ] : ( VVar0 = Vx & VExp0 = Ve & VExp1 = vabs(Vy, VT, Ve1) & Vx = Vy & RESULT = vabs(Vy, VT, Ve1) ) | ? [ Vx,Ve,VT,Vy,Vfresh,Ve1 ] : ( VVar0 = Vx & VExp0 = Ve & VExp1 = vabs(Vy, VT, Ve1) & ~( Vx = Vy ) & visFreeVar(Vy, Ve) & Vfresh = vgensym(vapp(vapp(Ve, Ve1), vvar(Vx))) & RESULT = vsubst(Vx, Ve, vabs(Vfresh, VT, vsubst(Vy, vvar(Vfresh), Ve1))) ) | ? [ Vy,VT,Vx,Ve,Ve1 ] : ( VVar0 = Vx & VExp0 = Ve & VExp1 = vabs(Vy, VT, Ve1) & ~( Vx = Vy ) & ~( visFreeVar(Vy, Ve) ) & RESULT = vabs(Vy, VT, vsubst(Vx, Ve, Ve1)) ) ) ),
% 32.66/33.00 inference(fof_nnf,[status(thm)],[subst-INV]) ).
% 32.66/33.00
% 32.66/33.00 fof(f_35_2, plain,
% 32.66/33.00 ! [ U_231,U_230,U_229,U_228 ] : ( ~( vsubst(U_231, U_230, U_229) = U_228 ) | ( ? [ U_204,U_203,U_202 ] : ( U_231 = U_204 & U_230 = U_202 & U_229 = vvar(U_203) & U_204 = U_203 & U_228 = U_202 ) | ? [ U_207,U_206,U_205 ] : ( U_231 = U_206 & U_230 = U_207 & U_229 = vvar(U_205) & ~( U_206 = U_205 ) & U_228 = vvar(U_205) ) | ? [ U_211,U_210,U_209,U_208 ] : ( U_231 = U_210 & U_230 = U_209 & U_229 = vapp(U_211, U_208) & U_228 = vapp(vsubst(U_210, U_209, U_211), vsubst(U_210, U_209, U_208)) ) | ? [ U_216,U_215,U_214,U_213,U_212 ] : ( U_231 = U_215 & U_230 = U_216 & U_229 = vabs(U_214, U_213, U_212) & U_215 = U_214 & U_228 = vabs(U_214, U_213, U_212) ) | ? [ U_222,U_221,U_220,U_219,U_218,U_217 ] : ( U_231 = U_222 & U_230 = U_221 & U_229 = vabs(U_219, U_220, U_217) & ~( U_222 = U_219 ) & visFreeVar(U_219, U_221) & U_218 = vgensym(vapp(vapp(U_221, U_217), vvar(U_222))) & U_228 = vsubst(U_222, U_221, vabs(U_218, U_220, vsubst(U_219, vvar(U_218), U_217))) ) | ? [ U_227,U_226,U_225,U_224,U_223 ] : ( U_231 = U_225 & U_230 = U_224 & U_229 = vabs(U_227, U_226, U_223) & ~( U_225 = U_227 ) & ~( visFreeVar(U_227, U_224) ) & U_228 = vabs(U_227, U_226, vsubst(U_225, U_224, U_223)) ) ) ),
% 32.66/33.00 inference(variable_rename,[status(thm)],[f_35_1]) ).
% 32.66/33.00
% 32.66/33.00 fof(f_35_3, plain,
% 32.66/33.00 ! [ U_231,U_230,U_229,U_228 ] : ( ~( vsubst(U_231, U_230, U_229) = U_228 ) | ( ( ? [ U_202 ] : ( U_230 = U_202 & U_228 = U_202 ) & ? [ U_204 ] : ( U_231 = U_204 & ? [ U_203 ] : ( U_229 = vvar(U_203) & U_204 = U_203 ) ) ) | ( ? [ U_206 ] : ( U_231 = U_206 & ? [ U_205 ] : ( U_229 = vvar(U_205) & ~( U_206 = U_205 ) & U_228 = vvar(U_205) ) ) & ? [ U_207 ] : U_230 = U_207 ) | ? [ U_211,U_210 ] : ( U_231 = U_210 & ? [ U_209 ] : ( U_230 = U_209 & ? [ U_208 ] : ( U_229 = vapp(U_211, U_208) & U_228 = vapp(vsubst(U_210, U_209, U_211), vsubst(U_210, U_209, U_208)) ) ) ) | ( ? [ U_215 ] : ( U_231 = U_215 & ? [ U_214 ] : ( U_215 = U_214 & ? [ U_213,U_212 ] : ( U_229 = vabs(U_214, U_213, U_212) & U_228 = vabs(U_214, U_213, U_212) ) ) ) & ? [ U_216 ] : U_230 = U_216 ) | ? [ U_222 ] : ( U_231 = U_222 & ? [ U_221 ] : ( U_230 = U_221 & ? [ U_220,U_219 ] : ( ~( U_222 = U_219 ) & visFreeVar(U_219, U_221) & ? [ U_218,U_217 ] : ( U_229 = vabs(U_219, U_220, U_217) & U_218 = vgensym(vapp(vapp(U_221, U_217), vvar(U_222))) & U_228 = vsubst(U_222, U_221, vabs(U_218, U_220, vsubst(U_219, vvar(U_218), U_217))) ) ) ) ) | ? [ U_227,U_226,U_225 ] : ( U_231 = U_225 & ~( U_225 = U_227 ) & ? [ U_224 ] : ( U_230 = U_224 & ~( visFreeVar(U_227, U_224) ) & ? [ U_223 ] : ( U_229 = vabs(U_227, U_226, U_223) & U_228 = vabs(U_227, U_226, vsubst(U_225, U_224, U_223)) ) ) ) ) ),
% 32.66/33.00 inference(miniscope,[status(thm)],[f_35_2]) ).
% 32.66/33.00
% 32.66/33.00 fof(f_35_4, plain,
% 32.66/33.00 ! [ U_231,U_230,U_229,U_228 ] : ( ~( vsubst(U_231, U_230, U_229) = U_228 ) | ( ( ( U_230 = sK10(U_231, U_230, U_229, U_228) & U_228 = sK10(U_231, U_230, U_229, U_228) ) & ? [ U_204 ] : ( U_231 = U_204 & ? [ U_203 ] : ( U_229 = vvar(U_203) & U_204 = U_203 ) ) ) | ( ? [ U_206 ] : ( U_231 = U_206 & ? [ U_205 ] : ( U_229 = vvar(U_205) & ~( U_206 = U_205 ) & U_228 = vvar(U_205) ) ) & ? [ U_207 ] : U_230 = U_207 ) | ? [ U_211,U_210 ] : ( U_231 = U_210 & ? [ U_209 ] : ( U_230 = U_209 & ? [ U_208 ] : ( U_229 = vapp(U_211, U_208) & U_228 = vapp(vsubst(U_210, U_209, U_211), vsubst(U_210, U_209, U_208)) ) ) ) | ( ? [ U_215 ] : ( U_231 = U_215 & ? [ U_214 ] : ( U_215 = U_214 & ? [ U_213,U_212 ] : ( U_229 = vabs(U_214, U_213, U_212) & U_228 = vabs(U_214, U_213, U_212) ) ) ) & ? [ U_216 ] : U_230 = U_216 ) | ? [ U_222 ] : ( U_231 = U_222 & ? [ U_221 ] : ( U_230 = U_221 & ? [ U_220,U_219 ] : ( ~( U_222 = U_219 ) & visFreeVar(U_219, U_221) & ? [ U_218,U_217 ] : ( U_229 = vabs(U_219, U_220, U_217) & U_218 = vgensym(vapp(vapp(U_221, U_217), vvar(U_222))) & U_228 = vsubst(U_222, U_221, vabs(U_218, U_220, vsubst(U_219, vvar(U_218), U_217))) ) ) ) ) | ? [ U_227,U_226,U_225 ] : ( U_231 = U_225 & ~( U_225 = U_227 ) & ? [ U_224 ] : ( U_230 = U_224 & ~( visFreeVar(U_227, U_224) ) & ? [ U_223 ] : ( U_229 = vabs(U_227, U_226, U_223) & U_228 = vabs(U_227, U_226, vsubst(U_225, U_224, U_223)) ) ) ) ) ),
% 32.66/33.00 inference(skolemize,[status(esa),new_symbols(skolem,[sK10]),skolemize(U_202,sK10(U_231, U_230, U_229, U_228))],[f_35_3]) ).
% 32.66/33.00
% 32.66/33.00 fof(f_35_5, plain,
% 32.66/33.00 ! [ U_231,U_230,U_229,U_228 ] : ( ~( vsubst(U_231, U_230, U_229) = U_228 ) | ( ( ( U_230 = sK10(U_231, U_230, U_229, U_228) & U_228 = sK10(U_231, U_230, U_229, U_228) ) & ( U_231 = sK11(U_231, U_230, U_229, U_228) & ? [ U_203 ] : ( U_229 = vvar(U_203) & sK11(U_231, U_230, U_229, U_228) = U_203 ) ) ) | ( ? [ U_206 ] : ( U_231 = U_206 & ? [ U_205 ] : ( U_229 = vvar(U_205) & ~( U_206 = U_205 ) & U_228 = vvar(U_205) ) ) & ? [ U_207 ] : U_230 = U_207 ) | ? [ U_211,U_210 ] : ( U_231 = U_210 & ? [ U_209 ] : ( U_230 = U_209 & ? [ U_208 ] : ( U_229 = vapp(U_211, U_208) & U_228 = vapp(vsubst(U_210, U_209, U_211), vsubst(U_210, U_209, U_208)) ) ) ) | ( ? [ U_215 ] : ( U_231 = U_215 & ? [ U_214 ] : ( U_215 = U_214 & ? [ U_213,U_212 ] : ( U_229 = vabs(U_214, U_213, U_212) & U_228 = vabs(U_214, U_213, U_212) ) ) ) & ? [ U_216 ] : U_230 = U_216 ) | ? [ U_222 ] : ( U_231 = U_222 & ? [ U_221 ] : ( U_230 = U_221 & ? [ U_220,U_219 ] : ( ~( U_222 = U_219 ) & visFreeVar(U_219, U_221) & ? [ U_218,U_217 ] : ( U_229 = vabs(U_219, U_220, U_217) & U_218 = vgensym(vapp(vapp(U_221, U_217), vvar(U_222))) & U_228 = vsubst(U_222, U_221, vabs(U_218, U_220, vsubst(U_219, vvar(U_218), U_217))) ) ) ) ) | ? [ U_227,U_226,U_225 ] : ( U_231 = U_225 & ~( U_225 = U_227 ) & ? [ U_224 ] : ( U_230 = U_224 & ~( visFreeVar(U_227, U_224) ) & ? [ U_223 ] : ( U_229 = vabs(U_227, U_226, U_223) & U_228 = vabs(U_227, U_226, vsubst(U_225, U_224, U_223)) ) ) ) ) ),
% 32.66/33.00 inference(skolemize,[status(esa),new_symbols(skolem,[sK11]),skolemize(U_204,sK11(U_231, U_230, U_229, U_228))],[f_35_4]) ).
% 32.66/33.00
% 32.66/33.00 fof(f_35_6, plain,
% 32.66/33.00 ! [ U_231,U_230,U_229,U_228 ] : ( ~( vsubst(U_231, U_230, U_229) = U_228 ) | ( ( ( U_230 = sK10(U_231, U_230, U_229, U_228) & U_228 = sK10(U_231, U_230, U_229, U_228) ) & ( U_231 = sK11(U_231, U_230, U_229, U_228) & ( U_229 = vvar(sK12(U_231, U_230, U_229, U_228)) & sK11(U_231, U_230, U_229, U_228) = sK12(U_231, U_230, U_229, U_228) ) ) ) | ( ? [ U_206 ] : ( U_231 = U_206 & ? [ U_205 ] : ( U_229 = vvar(U_205) & ~( U_206 = U_205 ) & U_228 = vvar(U_205) ) ) & ? [ U_207 ] : U_230 = U_207 ) | ? [ U_211,U_210 ] : ( U_231 = U_210 & ? [ U_209 ] : ( U_230 = U_209 & ? [ U_208 ] : ( U_229 = vapp(U_211, U_208) & U_228 = vapp(vsubst(U_210, U_209, U_211), vsubst(U_210, U_209, U_208)) ) ) ) | ( ? [ U_215 ] : ( U_231 = U_215 & ? [ U_214 ] : ( U_215 = U_214 & ? [ U_213,U_212 ] : ( U_229 = vabs(U_214, U_213, U_212) & U_228 = vabs(U_214, U_213, U_212) ) ) ) & ? [ U_216 ] : U_230 = U_216 ) | ? [ U_222 ] : ( U_231 = U_222 & ? [ U_221 ] : ( U_230 = U_221 & ? [ U_220,U_219 ] : ( ~( U_222 = U_219 ) & visFreeVar(U_219, U_221) & ? [ U_218,U_217 ] : ( U_229 = vabs(U_219, U_220, U_217) & U_218 = vgensym(vapp(vapp(U_221, U_217), vvar(U_222))) & U_228 = vsubst(U_222, U_221, vabs(U_218, U_220, vsubst(U_219, vvar(U_218), U_217))) ) ) ) ) | ? [ U_227,U_226,U_225 ] : ( U_231 = U_225 & ~( U_225 = U_227 ) & ? [ U_224 ] : ( U_230 = U_224 & ~( visFreeVar(U_227, U_224) ) & ? [ U_223 ] : ( U_229 = vabs(U_227, U_226, U_223) & U_228 = vabs(U_227, U_226, vsubst(U_225, U_224, U_223)) ) ) ) ) ),
% 32.66/33.00 inference(skolemize,[status(esa),new_symbols(skolem,[sK12]),skolemize(U_203,sK12(U_231, U_230, U_229, U_228))],[f_35_5]) ).
% 32.66/33.00
% 32.66/33.00 fof(f_35_7, plain,
% 32.66/33.00 ! [ U_231,U_230,U_229,U_228 ] : ( ~( vsubst(U_231, U_230, U_229) = U_228 ) | ( ( ( U_230 = sK10(U_231, U_230, U_229, U_228) & U_228 = sK10(U_231, U_230, U_229, U_228) ) & ( U_231 = sK11(U_231, U_230, U_229, U_228) & ( U_229 = vvar(sK12(U_231, U_230, U_229, U_228)) & sK11(U_231, U_230, U_229, U_228) = sK12(U_231, U_230, U_229, U_228) ) ) ) | ( ( U_231 = sK13(U_231, U_230, U_229, U_228) & ? [ U_205 ] : ( U_229 = vvar(U_205) & ~( sK13(U_231, U_230, U_229, U_228) = U_205 ) & U_228 = vvar(U_205) ) ) & ? [ U_207 ] : U_230 = U_207 ) | ? [ U_211,U_210 ] : ( U_231 = U_210 & ? [ U_209 ] : ( U_230 = U_209 & ? [ U_208 ] : ( U_229 = vapp(U_211, U_208) & U_228 = vapp(vsubst(U_210, U_209, U_211), vsubst(U_210, U_209, U_208)) ) ) ) | ( ? [ U_215 ] : ( U_231 = U_215 & ? [ U_214 ] : ( U_215 = U_214 & ? [ U_213,U_212 ] : ( U_229 = vabs(U_214, U_213, U_212) & U_228 = vabs(U_214, U_213, U_212) ) ) ) & ? [ U_216 ] : U_230 = U_216 ) | ? [ U_222 ] : ( U_231 = U_222 & ? [ U_221 ] : ( U_230 = U_221 & ? [ U_220,U_219 ] : ( ~( U_222 = U_219 ) & visFreeVar(U_219, U_221) & ? [ U_218,U_217 ] : ( U_229 = vabs(U_219, U_220, U_217) & U_218 = vgensym(vapp(vapp(U_221, U_217), vvar(U_222))) & U_228 = vsubst(U_222, U_221, vabs(U_218, U_220, vsubst(U_219, vvar(U_218), U_217))) ) ) ) ) | ? [ U_227,U_226,U_225 ] : ( U_231 = U_225 & ~( U_225 = U_227 ) & ? [ U_224 ] : ( U_230 = U_224 & ~( visFreeVar(U_227, U_224) ) & ? [ U_223 ] : ( U_229 = vabs(U_227, U_226, U_223) & U_228 = vabs(U_227, U_226, vsubst(U_225, U_224, U_223)) ) ) ) ) ),
% 32.66/33.00 inference(skolemize,[status(esa),new_symbols(skolem,[sK13]),skolemize(U_206,sK13(U_231, U_230, U_229, U_228))],[f_35_6]) ).
% 32.66/33.00
% 32.66/33.00 fof(f_35_8, plain,
% 32.66/33.00 ! [ U_231,U_230,U_229,U_228 ] : ( ~( vsubst(U_231, U_230, U_229) = U_228 ) | ( ( ( U_230 = sK10(U_231, U_230, U_229, U_228) & U_228 = sK10(U_231, U_230, U_229, U_228) ) & ( U_231 = sK11(U_231, U_230, U_229, U_228) & ( U_229 = vvar(sK12(U_231, U_230, U_229, U_228)) & sK11(U_231, U_230, U_229, U_228) = sK12(U_231, U_230, U_229, U_228) ) ) ) | ( ( U_231 = sK13(U_231, U_230, U_229, U_228) & ( U_229 = vvar(sK14(U_231, U_230, U_229, U_228)) & ~( sK13(U_231, U_230, U_229, U_228) = sK14(U_231, U_230, U_229, U_228) ) & U_228 = vvar(sK14(U_231, U_230, U_229, U_228)) ) ) & ? [ U_207 ] : U_230 = U_207 ) | ? [ U_211,U_210 ] : ( U_231 = U_210 & ? [ U_209 ] : ( U_230 = U_209 & ? [ U_208 ] : ( U_229 = vapp(U_211, U_208) & U_228 = vapp(vsubst(U_210, U_209, U_211), vsubst(U_210, U_209, U_208)) ) ) ) | ( ? [ U_215 ] : ( U_231 = U_215 & ? [ U_214 ] : ( U_215 = U_214 & ? [ U_213,U_212 ] : ( U_229 = vabs(U_214, U_213, U_212) & U_228 = vabs(U_214, U_213, U_212) ) ) ) & ? [ U_216 ] : U_230 = U_216 ) | ? [ U_222 ] : ( U_231 = U_222 & ? [ U_221 ] : ( U_230 = U_221 & ? [ U_220,U_219 ] : ( ~( U_222 = U_219 ) & visFreeVar(U_219, U_221) & ? [ U_218,U_217 ] : ( U_229 = vabs(U_219, U_220, U_217) & U_218 = vgensym(vapp(vapp(U_221, U_217), vvar(U_222))) & U_228 = vsubst(U_222, U_221, vabs(U_218, U_220, vsubst(U_219, vvar(U_218), U_217))) ) ) ) ) | ? [ U_227,U_226,U_225 ] : ( U_231 = U_225 & ~( U_225 = U_227 ) & ? [ U_224 ] : ( U_230 = U_224 & ~( visFreeVar(U_227, U_224) ) & ? [ U_223 ] : ( U_229 = vabs(U_227, U_226, U_223) & U_228 = vabs(U_227, U_226, vsubst(U_225, U_224, U_223)) ) ) ) ) ),
% 32.66/33.00 inference(skolemize,[status(esa),new_symbols(skolem,[sK14]),skolemize(U_205,sK14(U_231, U_230, U_229, U_228))],[f_35_7]) ).
% 32.66/33.00
% 32.66/33.00 fof(f_35_9, plain,
% 32.66/33.00 ! [ U_231,U_230,U_229,U_228 ] : ( ~( vsubst(U_231, U_230, U_229) = U_228 ) | ( ( ( U_230 = sK10(U_231, U_230, U_229, U_228) & U_228 = sK10(U_231, U_230, U_229, U_228) ) & ( U_231 = sK11(U_231, U_230, U_229, U_228) & ( U_229 = vvar(sK12(U_231, U_230, U_229, U_228)) & sK11(U_231, U_230, U_229, U_228) = sK12(U_231, U_230, U_229, U_228) ) ) ) | ( ( U_231 = sK13(U_231, U_230, U_229, U_228) & ( U_229 = vvar(sK14(U_231, U_230, U_229, U_228)) & ~( sK13(U_231, U_230, U_229, U_228) = sK14(U_231, U_230, U_229, U_228) ) & U_228 = vvar(sK14(U_231, U_230, U_229, U_228)) ) ) & U_230 = sK15(U_231, U_230, U_229, U_228) ) | ? [ U_211,U_210 ] : ( U_231 = U_210 & ? [ U_209 ] : ( U_230 = U_209 & ? [ U_208 ] : ( U_229 = vapp(U_211, U_208) & U_228 = vapp(vsubst(U_210, U_209, U_211), vsubst(U_210, U_209, U_208)) ) ) ) | ( ? [ U_215 ] : ( U_231 = U_215 & ? [ U_214 ] : ( U_215 = U_214 & ? [ U_213,U_212 ] : ( U_229 = vabs(U_214, U_213, U_212) & U_228 = vabs(U_214, U_213, U_212) ) ) ) & ? [ U_216 ] : U_230 = U_216 ) | ? [ U_222 ] : ( U_231 = U_222 & ? [ U_221 ] : ( U_230 = U_221 & ? [ U_220,U_219 ] : ( ~( U_222 = U_219 ) & visFreeVar(U_219, U_221) & ? [ U_218,U_217 ] : ( U_229 = vabs(U_219, U_220, U_217) & U_218 = vgensym(vapp(vapp(U_221, U_217), vvar(U_222))) & U_228 = vsubst(U_222, U_221, vabs(U_218, U_220, vsubst(U_219, vvar(U_218), U_217))) ) ) ) ) | ? [ U_227,U_226,U_225 ] : ( U_231 = U_225 & ~( U_225 = U_227 ) & ? [ U_224 ] : ( U_230 = U_224 & ~( visFreeVar(U_227, U_224) ) & ? [ U_223 ] : ( U_229 = vabs(U_227, U_226, U_223) & U_228 = vabs(U_227, U_226, vsubst(U_225, U_224, U_223)) ) ) ) ) ),
% 32.66/33.00 inference(skolemize,[status(esa),new_symbols(skolem,[sK15]),skolemize(U_207,sK15(U_231, U_230, U_229, U_228))],[f_35_8]) ).
% 32.66/33.00
% 32.66/33.00 fof(f_35_10, plain,
% 32.66/33.00 ! [ U_231,U_230,U_229,U_228 ] : ( ~( vsubst(U_231, U_230, U_229) = U_228 ) | ( ( ( U_230 = sK10(U_231, U_230, U_229, U_228) & U_228 = sK10(U_231, U_230, U_229, U_228) ) & ( U_231 = sK11(U_231, U_230, U_229, U_228) & ( U_229 = vvar(sK12(U_231, U_230, U_229, U_228)) & sK11(U_231, U_230, U_229, U_228) = sK12(U_231, U_230, U_229, U_228) ) ) ) | ( ( U_231 = sK13(U_231, U_230, U_229, U_228) & ( U_229 = vvar(sK14(U_231, U_230, U_229, U_228)) & ~( sK13(U_231, U_230, U_229, U_228) = sK14(U_231, U_230, U_229, U_228) ) & U_228 = vvar(sK14(U_231, U_230, U_229, U_228)) ) ) & U_230 = sK15(U_231, U_230, U_229, U_228) ) | ? [ U_210 ] : ( U_231 = U_210 & ? [ U_209 ] : ( U_230 = U_209 & ? [ U_208 ] : ( U_229 = vapp(sK16(U_231, U_230, U_229, U_228), U_208) & U_228 = vapp(vsubst(U_210, U_209, sK16(U_231, U_230, U_229, U_228)), vsubst(U_210, U_209, U_208)) ) ) ) | ( ? [ U_215 ] : ( U_231 = U_215 & ? [ U_214 ] : ( U_215 = U_214 & ? [ U_213,U_212 ] : ( U_229 = vabs(U_214, U_213, U_212) & U_228 = vabs(U_214, U_213, U_212) ) ) ) & ? [ U_216 ] : U_230 = U_216 ) | ? [ U_222 ] : ( U_231 = U_222 & ? [ U_221 ] : ( U_230 = U_221 & ? [ U_220,U_219 ] : ( ~( U_222 = U_219 ) & visFreeVar(U_219, U_221) & ? [ U_218,U_217 ] : ( U_229 = vabs(U_219, U_220, U_217) & U_218 = vgensym(vapp(vapp(U_221, U_217), vvar(U_222))) & U_228 = vsubst(U_222, U_221, vabs(U_218, U_220, vsubst(U_219, vvar(U_218), U_217))) ) ) ) ) | ? [ U_227,U_226,U_225 ] : ( U_231 = U_225 & ~( U_225 = U_227 ) & ? [ U_224 ] : ( U_230 = U_224 & ~( visFreeVar(U_227, U_224) ) & ? [ U_223 ] : ( U_229 = vabs(U_227, U_226, U_223) & U_228 = vabs(U_227, U_226, vsubst(U_225, U_224, U_223)) ) ) ) ) ),
% 32.66/33.00 inference(skolemize,[status(esa),new_symbols(skolem,[sK16]),skolemize(U_211,sK16(U_231, U_230, U_229, U_228))],[f_35_9]) ).
% 32.66/33.00
% 32.66/33.00 fof(f_35_11, plain,
% 32.66/33.00 ! [ U_231,U_230,U_229,U_228 ] : ( ~( vsubst(U_231, U_230, U_229) = U_228 ) | ( ( ( U_230 = sK10(U_231, U_230, U_229, U_228) & U_228 = sK10(U_231, U_230, U_229, U_228) ) & ( U_231 = sK11(U_231, U_230, U_229, U_228) & ( U_229 = vvar(sK12(U_231, U_230, U_229, U_228)) & sK11(U_231, U_230, U_229, U_228) = sK12(U_231, U_230, U_229, U_228) ) ) ) | ( ( U_231 = sK13(U_231, U_230, U_229, U_228) & ( U_229 = vvar(sK14(U_231, U_230, U_229, U_228)) & ~( sK13(U_231, U_230, U_229, U_228) = sK14(U_231, U_230, U_229, U_228) ) & U_228 = vvar(sK14(U_231, U_230, U_229, U_228)) ) ) & U_230 = sK15(U_231, U_230, U_229, U_228) ) | ( U_231 = sK17(U_231, U_230, U_229, U_228) & ? [ U_209 ] : ( U_230 = U_209 & ? [ U_208 ] : ( U_229 = vapp(sK16(U_231, U_230, U_229, U_228), U_208) & U_228 = vapp(vsubst(sK17(U_231, U_230, U_229, U_228), U_209, sK16(U_231, U_230, U_229, U_228)), vsubst(sK17(U_231, U_230, U_229, U_228), U_209, U_208)) ) ) ) | ( ? [ U_215 ] : ( U_231 = U_215 & ? [ U_214 ] : ( U_215 = U_214 & ? [ U_213,U_212 ] : ( U_229 = vabs(U_214, U_213, U_212) & U_228 = vabs(U_214, U_213, U_212) ) ) ) & ? [ U_216 ] : U_230 = U_216 ) | ? [ U_222 ] : ( U_231 = U_222 & ? [ U_221 ] : ( U_230 = U_221 & ? [ U_220,U_219 ] : ( ~( U_222 = U_219 ) & visFreeVar(U_219, U_221) & ? [ U_218,U_217 ] : ( U_229 = vabs(U_219, U_220, U_217) & U_218 = vgensym(vapp(vapp(U_221, U_217), vvar(U_222))) & U_228 = vsubst(U_222, U_221, vabs(U_218, U_220, vsubst(U_219, vvar(U_218), U_217))) ) ) ) ) | ? [ U_227,U_226,U_225 ] : ( U_231 = U_225 & ~( U_225 = U_227 ) & ? [ U_224 ] : ( U_230 = U_224 & ~( visFreeVar(U_227, U_224) ) & ? [ U_223 ] : ( U_229 = vabs(U_227, U_226, U_223) & U_228 = vabs(U_227, U_226, vsubst(U_225, U_224, U_223)) ) ) ) ) ),
% 32.66/33.00 inference(skolemize,[status(esa),new_symbols(skolem,[sK17]),skolemize(U_210,sK17(U_231, U_230, U_229, U_228))],[f_35_10]) ).
% 32.66/33.00
% 32.66/33.00 fof(f_35_12, plain,
% 32.66/33.00 ! [ U_231,U_230,U_229,U_228 ] : ( ~( vsubst(U_231, U_230, U_229) = U_228 ) | ( ( ( U_230 = sK10(U_231, U_230, U_229, U_228) & U_228 = sK10(U_231, U_230, U_229, U_228) ) & ( U_231 = sK11(U_231, U_230, U_229, U_228) & ( U_229 = vvar(sK12(U_231, U_230, U_229, U_228)) & sK11(U_231, U_230, U_229, U_228) = sK12(U_231, U_230, U_229, U_228) ) ) ) | ( ( U_231 = sK13(U_231, U_230, U_229, U_228) & ( U_229 = vvar(sK14(U_231, U_230, U_229, U_228)) & ~( sK13(U_231, U_230, U_229, U_228) = sK14(U_231, U_230, U_229, U_228) ) & U_228 = vvar(sK14(U_231, U_230, U_229, U_228)) ) ) & U_230 = sK15(U_231, U_230, U_229, U_228) ) | ( U_231 = sK17(U_231, U_230, U_229, U_228) & ( U_230 = sK18(U_231, U_230, U_229, U_228) & ? [ U_208 ] : ( U_229 = vapp(sK16(U_231, U_230, U_229, U_228), U_208) & U_228 = vapp(vsubst(sK17(U_231, U_230, U_229, U_228), sK18(U_231, U_230, U_229, U_228), sK16(U_231, U_230, U_229, U_228)), vsubst(sK17(U_231, U_230, U_229, U_228), sK18(U_231, U_230, U_229, U_228), U_208)) ) ) ) | ( ? [ U_215 ] : ( U_231 = U_215 & ? [ U_214 ] : ( U_215 = U_214 & ? [ U_213,U_212 ] : ( U_229 = vabs(U_214, U_213, U_212) & U_228 = vabs(U_214, U_213, U_212) ) ) ) & ? [ U_216 ] : U_230 = U_216 ) | ? [ U_222 ] : ( U_231 = U_222 & ? [ U_221 ] : ( U_230 = U_221 & ? [ U_220,U_219 ] : ( ~( U_222 = U_219 ) & visFreeVar(U_219, U_221) & ? [ U_218,U_217 ] : ( U_229 = vabs(U_219, U_220, U_217) & U_218 = vgensym(vapp(vapp(U_221, U_217), vvar(U_222))) & U_228 = vsubst(U_222, U_221, vabs(U_218, U_220, vsubst(U_219, vvar(U_218), U_217))) ) ) ) ) | ? [ U_227,U_226,U_225 ] : ( U_231 = U_225 & ~( U_225 = U_227 ) & ? [ U_224 ] : ( U_230 = U_224 & ~( visFreeVar(U_227, U_224) ) & ? [ U_223 ] : ( U_229 = vabs(U_227, U_226, U_223) & U_228 = vabs(U_227, U_226, vsubst(U_225, U_224, U_223)) ) ) ) ) ),
% 32.66/33.00 inference(skolemize,[status(esa),new_symbols(skolem,[sK18]),skolemize(U_209,sK18(U_231, U_230, U_229, U_228))],[f_35_11]) ).
% 32.66/33.00
% 32.66/33.00 fof(f_35_13, plain,
% 32.66/33.00 ! [ U_231,U_230,U_229,U_228 ] : ( ~( vsubst(U_231, U_230, U_229) = U_228 ) | ( ( ( U_230 = sK10(U_231, U_230, U_229, U_228) & U_228 = sK10(U_231, U_230, U_229, U_228) ) & ( U_231 = sK11(U_231, U_230, U_229, U_228) & ( U_229 = vvar(sK12(U_231, U_230, U_229, U_228)) & sK11(U_231, U_230, U_229, U_228) = sK12(U_231, U_230, U_229, U_228) ) ) ) | ( ( U_231 = sK13(U_231, U_230, U_229, U_228) & ( U_229 = vvar(sK14(U_231, U_230, U_229, U_228)) & ~( sK13(U_231, U_230, U_229, U_228) = sK14(U_231, U_230, U_229, U_228) ) & U_228 = vvar(sK14(U_231, U_230, U_229, U_228)) ) ) & U_230 = sK15(U_231, U_230, U_229, U_228) ) | ( U_231 = sK17(U_231, U_230, U_229, U_228) & ( U_230 = sK18(U_231, U_230, U_229, U_228) & ( U_229 = vapp(sK16(U_231, U_230, U_229, U_228), sK19(U_231, U_230, U_229, U_228)) & U_228 = vapp(vsubst(sK17(U_231, U_230, U_229, U_228), sK18(U_231, U_230, U_229, U_228), sK16(U_231, U_230, U_229, U_228)), vsubst(sK17(U_231, U_230, U_229, U_228), sK18(U_231, U_230, U_229, U_228), sK19(U_231, U_230, U_229, U_228))) ) ) ) | ( ? [ U_215 ] : ( U_231 = U_215 & ? [ U_214 ] : ( U_215 = U_214 & ? [ U_213,U_212 ] : ( U_229 = vabs(U_214, U_213, U_212) & U_228 = vabs(U_214, U_213, U_212) ) ) ) & ? [ U_216 ] : U_230 = U_216 ) | ? [ U_222 ] : ( U_231 = U_222 & ? [ U_221 ] : ( U_230 = U_221 & ? [ U_220,U_219 ] : ( ~( U_222 = U_219 ) & visFreeVar(U_219, U_221) & ? [ U_218,U_217 ] : ( U_229 = vabs(U_219, U_220, U_217) & U_218 = vgensym(vapp(vapp(U_221, U_217), vvar(U_222))) & U_228 = vsubst(U_222, U_221, vabs(U_218, U_220, vsubst(U_219, vvar(U_218), U_217))) ) ) ) ) | ? [ U_227,U_226,U_225 ] : ( U_231 = U_225 & ~( U_225 = U_227 ) & ? [ U_224 ] : ( U_230 = U_224 & ~( visFreeVar(U_227, U_224) ) & ? [ U_223 ] : ( U_229 = vabs(U_227, U_226, U_223) & U_228 = vabs(U_227, U_226, vsubst(U_225, U_224, U_223)) ) ) ) ) ),
% 32.66/33.00 inference(skolemize,[status(esa),new_symbols(skolem,[sK19]),skolemize(U_208,sK19(U_231, U_230, U_229, U_228))],[f_35_12]) ).
% 32.66/33.00
% 32.66/33.00 fof(f_35_14, plain,
% 32.66/33.00 ! [ U_231,U_230,U_229,U_228 ] : ( ~( vsubst(U_231, U_230, U_229) = U_228 ) | ( ( ( U_230 = sK10(U_231, U_230, U_229, U_228) & U_228 = sK10(U_231, U_230, U_229, U_228) ) & ( U_231 = sK11(U_231, U_230, U_229, U_228) & ( U_229 = vvar(sK12(U_231, U_230, U_229, U_228)) & sK11(U_231, U_230, U_229, U_228) = sK12(U_231, U_230, U_229, U_228) ) ) ) | ( ( U_231 = sK13(U_231, U_230, U_229, U_228) & ( U_229 = vvar(sK14(U_231, U_230, U_229, U_228)) & ~( sK13(U_231, U_230, U_229, U_228) = sK14(U_231, U_230, U_229, U_228) ) & U_228 = vvar(sK14(U_231, U_230, U_229, U_228)) ) ) & U_230 = sK15(U_231, U_230, U_229, U_228) ) | ( U_231 = sK17(U_231, U_230, U_229, U_228) & ( U_230 = sK18(U_231, U_230, U_229, U_228) & ( U_229 = vapp(sK16(U_231, U_230, U_229, U_228), sK19(U_231, U_230, U_229, U_228)) & U_228 = vapp(vsubst(sK17(U_231, U_230, U_229, U_228), sK18(U_231, U_230, U_229, U_228), sK16(U_231, U_230, U_229, U_228)), vsubst(sK17(U_231, U_230, U_229, U_228), sK18(U_231, U_230, U_229, U_228), sK19(U_231, U_230, U_229, U_228))) ) ) ) | ( ( U_231 = sK20(U_231, U_230, U_229, U_228) & ? [ U_214 ] : ( sK20(U_231, U_230, U_229, U_228) = U_214 & ? [ U_213,U_212 ] : ( U_229 = vabs(U_214, U_213, U_212) & U_228 = vabs(U_214, U_213, U_212) ) ) ) & ? [ U_216 ] : U_230 = U_216 ) | ? [ U_222 ] : ( U_231 = U_222 & ? [ U_221 ] : ( U_230 = U_221 & ? [ U_220,U_219 ] : ( ~( U_222 = U_219 ) & visFreeVar(U_219, U_221) & ? [ U_218,U_217 ] : ( U_229 = vabs(U_219, U_220, U_217) & U_218 = vgensym(vapp(vapp(U_221, U_217), vvar(U_222))) & U_228 = vsubst(U_222, U_221, vabs(U_218, U_220, vsubst(U_219, vvar(U_218), U_217))) ) ) ) ) | ? [ U_227,U_226,U_225 ] : ( U_231 = U_225 & ~( U_225 = U_227 ) & ? [ U_224 ] : ( U_230 = U_224 & ~( visFreeVar(U_227, U_224) ) & ? [ U_223 ] : ( U_229 = vabs(U_227, U_226, U_223) & U_228 = vabs(U_227, U_226, vsubst(U_225, U_224, U_223)) ) ) ) ) ),
% 32.66/33.00 inference(skolemize,[status(esa),new_symbols(skolem,[sK20]),skolemize(U_215,sK20(U_231, U_230, U_229, U_228))],[f_35_13]) ).
% 32.66/33.00
% 32.66/33.00 fof(f_35_15, plain,
% 32.66/33.00 ! [ U_231,U_230,U_229,U_228 ] : ( ~( vsubst(U_231, U_230, U_229) = U_228 ) | ( ( ( U_230 = sK10(U_231, U_230, U_229, U_228) & U_228 = sK10(U_231, U_230, U_229, U_228) ) & ( U_231 = sK11(U_231, U_230, U_229, U_228) & ( U_229 = vvar(sK12(U_231, U_230, U_229, U_228)) & sK11(U_231, U_230, U_229, U_228) = sK12(U_231, U_230, U_229, U_228) ) ) ) | ( ( U_231 = sK13(U_231, U_230, U_229, U_228) & ( U_229 = vvar(sK14(U_231, U_230, U_229, U_228)) & ~( sK13(U_231, U_230, U_229, U_228) = sK14(U_231, U_230, U_229, U_228) ) & U_228 = vvar(sK14(U_231, U_230, U_229, U_228)) ) ) & U_230 = sK15(U_231, U_230, U_229, U_228) ) | ( U_231 = sK17(U_231, U_230, U_229, U_228) & ( U_230 = sK18(U_231, U_230, U_229, U_228) & ( U_229 = vapp(sK16(U_231, U_230, U_229, U_228), sK19(U_231, U_230, U_229, U_228)) & U_228 = vapp(vsubst(sK17(U_231, U_230, U_229, U_228), sK18(U_231, U_230, U_229, U_228), sK16(U_231, U_230, U_229, U_228)), vsubst(sK17(U_231, U_230, U_229, U_228), sK18(U_231, U_230, U_229, U_228), sK19(U_231, U_230, U_229, U_228))) ) ) ) | ( ( U_231 = sK20(U_231, U_230, U_229, U_228) & ( sK20(U_231, U_230, U_229, U_228) = sK21(U_231, U_230, U_229, U_228) & ? [ U_213,U_212 ] : ( U_229 = vabs(sK21(U_231, U_230, U_229, U_228), U_213, U_212) & U_228 = vabs(sK21(U_231, U_230, U_229, U_228), U_213, U_212) ) ) ) & ? [ U_216 ] : U_230 = U_216 ) | ? [ U_222 ] : ( U_231 = U_222 & ? [ U_221 ] : ( U_230 = U_221 & ? [ U_220,U_219 ] : ( ~( U_222 = U_219 ) & visFreeVar(U_219, U_221) & ? [ U_218,U_217 ] : ( U_229 = vabs(U_219, U_220, U_217) & U_218 = vgensym(vapp(vapp(U_221, U_217), vvar(U_222))) & U_228 = vsubst(U_222, U_221, vabs(U_218, U_220, vsubst(U_219, vvar(U_218), U_217))) ) ) ) ) | ? [ U_227,U_226,U_225 ] : ( U_231 = U_225 & ~( U_225 = U_227 ) & ? [ U_224 ] : ( U_230 = U_224 & ~( visFreeVar(U_227, U_224) ) & ? [ U_223 ] : ( U_229 = vabs(U_227, U_226, U_223) & U_228 = vabs(U_227, U_226, vsubst(U_225, U_224, U_223)) ) ) ) ) ),
% 32.66/33.00 inference(skolemize,[status(esa),new_symbols(skolem,[sK21]),skolemize(U_214,sK21(U_231, U_230, U_229, U_228))],[f_35_14]) ).
% 32.66/33.00
% 32.66/33.00 fof(f_35_16, plain,
% 32.66/33.00 ! [ U_231,U_230,U_229,U_228 ] : ( ~( vsubst(U_231, U_230, U_229) = U_228 ) | ( ( ( U_230 = sK10(U_231, U_230, U_229, U_228) & U_228 = sK10(U_231, U_230, U_229, U_228) ) & ( U_231 = sK11(U_231, U_230, U_229, U_228) & ( U_229 = vvar(sK12(U_231, U_230, U_229, U_228)) & sK11(U_231, U_230, U_229, U_228) = sK12(U_231, U_230, U_229, U_228) ) ) ) | ( ( U_231 = sK13(U_231, U_230, U_229, U_228) & ( U_229 = vvar(sK14(U_231, U_230, U_229, U_228)) & ~( sK13(U_231, U_230, U_229, U_228) = sK14(U_231, U_230, U_229, U_228) ) & U_228 = vvar(sK14(U_231, U_230, U_229, U_228)) ) ) & U_230 = sK15(U_231, U_230, U_229, U_228) ) | ( U_231 = sK17(U_231, U_230, U_229, U_228) & ( U_230 = sK18(U_231, U_230, U_229, U_228) & ( U_229 = vapp(sK16(U_231, U_230, U_229, U_228), sK19(U_231, U_230, U_229, U_228)) & U_228 = vapp(vsubst(sK17(U_231, U_230, U_229, U_228), sK18(U_231, U_230, U_229, U_228), sK16(U_231, U_230, U_229, U_228)), vsubst(sK17(U_231, U_230, U_229, U_228), sK18(U_231, U_230, U_229, U_228), sK19(U_231, U_230, U_229, U_228))) ) ) ) | ( ( U_231 = sK20(U_231, U_230, U_229, U_228) & ( sK20(U_231, U_230, U_229, U_228) = sK21(U_231, U_230, U_229, U_228) & ? [ U_212 ] : ( U_229 = vabs(sK21(U_231, U_230, U_229, U_228), sK22(U_231, U_230, U_229, U_228), U_212) & U_228 = vabs(sK21(U_231, U_230, U_229, U_228), sK22(U_231, U_230, U_229, U_228), U_212) ) ) ) & ? [ U_216 ] : U_230 = U_216 ) | ? [ U_222 ] : ( U_231 = U_222 & ? [ U_221 ] : ( U_230 = U_221 & ? [ U_220,U_219 ] : ( ~( U_222 = U_219 ) & visFreeVar(U_219, U_221) & ? [ U_218,U_217 ] : ( U_229 = vabs(U_219, U_220, U_217) & U_218 = vgensym(vapp(vapp(U_221, U_217), vvar(U_222))) & U_228 = vsubst(U_222, U_221, vabs(U_218, U_220, vsubst(U_219, vvar(U_218), U_217))) ) ) ) ) | ? [ U_227,U_226,U_225 ] : ( U_231 = U_225 & ~( U_225 = U_227 ) & ? [ U_224 ] : ( U_230 = U_224 & ~( visFreeVar(U_227, U_224) ) & ? [ U_223 ] : ( U_229 = vabs(U_227, U_226, U_223) & U_228 = vabs(U_227, U_226, vsubst(U_225, U_224, U_223)) ) ) ) ) ),
% 32.66/33.00 inference(skolemize,[status(esa),new_symbols(skolem,[sK22]),skolemize(U_213,sK22(U_231, U_230, U_229, U_228))],[f_35_15]) ).
% 32.66/33.00
% 32.66/33.00 fof(f_35_17, plain,
% 32.66/33.00 ! [ U_231,U_230,U_229,U_228 ] : ( ~( vsubst(U_231, U_230, U_229) = U_228 ) | ( ( ( U_230 = sK10(U_231, U_230, U_229, U_228) & U_228 = sK10(U_231, U_230, U_229, U_228) ) & ( U_231 = sK11(U_231, U_230, U_229, U_228) & ( U_229 = vvar(sK12(U_231, U_230, U_229, U_228)) & sK11(U_231, U_230, U_229, U_228) = sK12(U_231, U_230, U_229, U_228) ) ) ) | ( ( U_231 = sK13(U_231, U_230, U_229, U_228) & ( U_229 = vvar(sK14(U_231, U_230, U_229, U_228)) & ~( sK13(U_231, U_230, U_229, U_228) = sK14(U_231, U_230, U_229, U_228) ) & U_228 = vvar(sK14(U_231, U_230, U_229, U_228)) ) ) & U_230 = sK15(U_231, U_230, U_229, U_228) ) | ( U_231 = sK17(U_231, U_230, U_229, U_228) & ( U_230 = sK18(U_231, U_230, U_229, U_228) & ( U_229 = vapp(sK16(U_231, U_230, U_229, U_228), sK19(U_231, U_230, U_229, U_228)) & U_228 = vapp(vsubst(sK17(U_231, U_230, U_229, U_228), sK18(U_231, U_230, U_229, U_228), sK16(U_231, U_230, U_229, U_228)), vsubst(sK17(U_231, U_230, U_229, U_228), sK18(U_231, U_230, U_229, U_228), sK19(U_231, U_230, U_229, U_228))) ) ) ) | ( ( U_231 = sK20(U_231, U_230, U_229, U_228) & ( sK20(U_231, U_230, U_229, U_228) = sK21(U_231, U_230, U_229, U_228) & ( U_229 = vabs(sK21(U_231, U_230, U_229, U_228), sK22(U_231, U_230, U_229, U_228), sK23(U_231, U_230, U_229, U_228)) & U_228 = vabs(sK21(U_231, U_230, U_229, U_228), sK22(U_231, U_230, U_229, U_228), sK23(U_231, U_230, U_229, U_228)) ) ) ) & ? [ U_216 ] : U_230 = U_216 ) | ? [ U_222 ] : ( U_231 = U_222 & ? [ U_221 ] : ( U_230 = U_221 & ? [ U_220,U_219 ] : ( ~( U_222 = U_219 ) & visFreeVar(U_219, U_221) & ? [ U_218,U_217 ] : ( U_229 = vabs(U_219, U_220, U_217) & U_218 = vgensym(vapp(vapp(U_221, U_217), vvar(U_222))) & U_228 = vsubst(U_222, U_221, vabs(U_218, U_220, vsubst(U_219, vvar(U_218), U_217))) ) ) ) ) | ? [ U_227,U_226,U_225 ] : ( U_231 = U_225 & ~( U_225 = U_227 ) & ? [ U_224 ] : ( U_230 = U_224 & ~( visFreeVar(U_227, U_224) ) & ? [ U_223 ] : ( U_229 = vabs(U_227, U_226, U_223) & U_228 = vabs(U_227, U_226, vsubst(U_225, U_224, U_223)) ) ) ) ) ),
% 32.66/33.00 inference(skolemize,[status(esa),new_symbols(skolem,[sK23]),skolemize(U_212,sK23(U_231, U_230, U_229, U_228))],[f_35_16]) ).
% 32.66/33.00
% 32.66/33.00 fof(f_35_18, plain,
% 32.66/33.00 ! [ U_231,U_230,U_229,U_228 ] : ( ~( vsubst(U_231, U_230, U_229) = U_228 ) | ( ( ( U_230 = sK10(U_231, U_230, U_229, U_228) & U_228 = sK10(U_231, U_230, U_229, U_228) ) & ( U_231 = sK11(U_231, U_230, U_229, U_228) & ( U_229 = vvar(sK12(U_231, U_230, U_229, U_228)) & sK11(U_231, U_230, U_229, U_228) = sK12(U_231, U_230, U_229, U_228) ) ) ) | ( ( U_231 = sK13(U_231, U_230, U_229, U_228) & ( U_229 = vvar(sK14(U_231, U_230, U_229, U_228)) & ~( sK13(U_231, U_230, U_229, U_228) = sK14(U_231, U_230, U_229, U_228) ) & U_228 = vvar(sK14(U_231, U_230, U_229, U_228)) ) ) & U_230 = sK15(U_231, U_230, U_229, U_228) ) | ( U_231 = sK17(U_231, U_230, U_229, U_228) & ( U_230 = sK18(U_231, U_230, U_229, U_228) & ( U_229 = vapp(sK16(U_231, U_230, U_229, U_228), sK19(U_231, U_230, U_229, U_228)) & U_228 = vapp(vsubst(sK17(U_231, U_230, U_229, U_228), sK18(U_231, U_230, U_229, U_228), sK16(U_231, U_230, U_229, U_228)), vsubst(sK17(U_231, U_230, U_229, U_228), sK18(U_231, U_230, U_229, U_228), sK19(U_231, U_230, U_229, U_228))) ) ) ) | ( ( U_231 = sK20(U_231, U_230, U_229, U_228) & ( sK20(U_231, U_230, U_229, U_228) = sK21(U_231, U_230, U_229, U_228) & ( U_229 = vabs(sK21(U_231, U_230, U_229, U_228), sK22(U_231, U_230, U_229, U_228), sK23(U_231, U_230, U_229, U_228)) & U_228 = vabs(sK21(U_231, U_230, U_229, U_228), sK22(U_231, U_230, U_229, U_228), sK23(U_231, U_230, U_229, U_228)) ) ) ) & U_230 = sK24(U_231, U_230, U_229, U_228) ) | ? [ U_222 ] : ( U_231 = U_222 & ? [ U_221 ] : ( U_230 = U_221 & ? [ U_220,U_219 ] : ( ~( U_222 = U_219 ) & visFreeVar(U_219, U_221) & ? [ U_218,U_217 ] : ( U_229 = vabs(U_219, U_220, U_217) & U_218 = vgensym(vapp(vapp(U_221, U_217), vvar(U_222))) & U_228 = vsubst(U_222, U_221, vabs(U_218, U_220, vsubst(U_219, vvar(U_218), U_217))) ) ) ) ) | ? [ U_227,U_226,U_225 ] : ( U_231 = U_225 & ~( U_225 = U_227 ) & ? [ U_224 ] : ( U_230 = U_224 & ~( visFreeVar(U_227, U_224) ) & ? [ U_223 ] : ( U_229 = vabs(U_227, U_226, U_223) & U_228 = vabs(U_227, U_226, vsubst(U_225, U_224, U_223)) ) ) ) ) ),
% 32.66/33.00 inference(skolemize,[status(esa),new_symbols(skolem,[sK24]),skolemize(U_216,sK24(U_231, U_230, U_229, U_228))],[f_35_17]) ).
% 32.66/33.00
% 32.66/33.00 fof(f_35_19, plain,
% 32.66/33.00 ! [ U_231,U_230,U_229,U_228 ] : ( ~( vsubst(U_231, U_230, U_229) = U_228 ) | ( ( ( U_230 = sK10(U_231, U_230, U_229, U_228) & U_228 = sK10(U_231, U_230, U_229, U_228) ) & ( U_231 = sK11(U_231, U_230, U_229, U_228) & ( U_229 = vvar(sK12(U_231, U_230, U_229, U_228)) & sK11(U_231, U_230, U_229, U_228) = sK12(U_231, U_230, U_229, U_228) ) ) ) | ( ( U_231 = sK13(U_231, U_230, U_229, U_228) & ( U_229 = vvar(sK14(U_231, U_230, U_229, U_228)) & ~( sK13(U_231, U_230, U_229, U_228) = sK14(U_231, U_230, U_229, U_228) ) & U_228 = vvar(sK14(U_231, U_230, U_229, U_228)) ) ) & U_230 = sK15(U_231, U_230, U_229, U_228) ) | ( U_231 = sK17(U_231, U_230, U_229, U_228) & ( U_230 = sK18(U_231, U_230, U_229, U_228) & ( U_229 = vapp(sK16(U_231, U_230, U_229, U_228), sK19(U_231, U_230, U_229, U_228)) & U_228 = vapp(vsubst(sK17(U_231, U_230, U_229, U_228), sK18(U_231, U_230, U_229, U_228), sK16(U_231, U_230, U_229, U_228)), vsubst(sK17(U_231, U_230, U_229, U_228), sK18(U_231, U_230, U_229, U_228), sK19(U_231, U_230, U_229, U_228))) ) ) ) | ( ( U_231 = sK20(U_231, U_230, U_229, U_228) & ( sK20(U_231, U_230, U_229, U_228) = sK21(U_231, U_230, U_229, U_228) & ( U_229 = vabs(sK21(U_231, U_230, U_229, U_228), sK22(U_231, U_230, U_229, U_228), sK23(U_231, U_230, U_229, U_228)) & U_228 = vabs(sK21(U_231, U_230, U_229, U_228), sK22(U_231, U_230, U_229, U_228), sK23(U_231, U_230, U_229, U_228)) ) ) ) & U_230 = sK24(U_231, U_230, U_229, U_228) ) | ( U_231 = sK25(U_231, U_230, U_229, U_228) & ? [ U_221 ] : ( U_230 = U_221 & ? [ U_220,U_219 ] : ( ~( sK25(U_231, U_230, U_229, U_228) = U_219 ) & visFreeVar(U_219, U_221) & ? [ U_218,U_217 ] : ( U_229 = vabs(U_219, U_220, U_217) & U_218 = vgensym(vapp(vapp(U_221, U_217), vvar(sK25(U_231, U_230, U_229, U_228)))) & U_228 = vsubst(sK25(U_231, U_230, U_229, U_228), U_221, vabs(U_218, U_220, vsubst(U_219, vvar(U_218), U_217))) ) ) ) ) | ? [ U_227,U_226,U_225 ] : ( U_231 = U_225 & ~( U_225 = U_227 ) & ? [ U_224 ] : ( U_230 = U_224 & ~( visFreeVar(U_227, U_224) ) & ? [ U_223 ] : ( U_229 = vabs(U_227, U_226, U_223) & U_228 = vabs(U_227, U_226, vsubst(U_225, U_224, U_223)) ) ) ) ) ),
% 32.66/33.00 inference(skolemize,[status(esa),new_symbols(skolem,[sK25]),skolemize(U_222,sK25(U_231, U_230, U_229, U_228))],[f_35_18]) ).
% 32.66/33.00
% 32.66/33.00 fof(f_35_20, plain,
% 32.66/33.00 ! [ U_231,U_230,U_229,U_228 ] : ( ~( vsubst(U_231, U_230, U_229) = U_228 ) | ( ( ( U_230 = sK10(U_231, U_230, U_229, U_228) & U_228 = sK10(U_231, U_230, U_229, U_228) ) & ( U_231 = sK11(U_231, U_230, U_229, U_228) & ( U_229 = vvar(sK12(U_231, U_230, U_229, U_228)) & sK11(U_231, U_230, U_229, U_228) = sK12(U_231, U_230, U_229, U_228) ) ) ) | ( ( U_231 = sK13(U_231, U_230, U_229, U_228) & ( U_229 = vvar(sK14(U_231, U_230, U_229, U_228)) & ~( sK13(U_231, U_230, U_229, U_228) = sK14(U_231, U_230, U_229, U_228) ) & U_228 = vvar(sK14(U_231, U_230, U_229, U_228)) ) ) & U_230 = sK15(U_231, U_230, U_229, U_228) ) | ( U_231 = sK17(U_231, U_230, U_229, U_228) & ( U_230 = sK18(U_231, U_230, U_229, U_228) & ( U_229 = vapp(sK16(U_231, U_230, U_229, U_228), sK19(U_231, U_230, U_229, U_228)) & U_228 = vapp(vsubst(sK17(U_231, U_230, U_229, U_228), sK18(U_231, U_230, U_229, U_228), sK16(U_231, U_230, U_229, U_228)), vsubst(sK17(U_231, U_230, U_229, U_228), sK18(U_231, U_230, U_229, U_228), sK19(U_231, U_230, U_229, U_228))) ) ) ) | ( ( U_231 = sK20(U_231, U_230, U_229, U_228) & ( sK20(U_231, U_230, U_229, U_228) = sK21(U_231, U_230, U_229, U_228) & ( U_229 = vabs(sK21(U_231, U_230, U_229, U_228), sK22(U_231, U_230, U_229, U_228), sK23(U_231, U_230, U_229, U_228)) & U_228 = vabs(sK21(U_231, U_230, U_229, U_228), sK22(U_231, U_230, U_229, U_228), sK23(U_231, U_230, U_229, U_228)) ) ) ) & U_230 = sK24(U_231, U_230, U_229, U_228) ) | ( U_231 = sK25(U_231, U_230, U_229, U_228) & ( U_230 = sK26(U_231, U_230, U_229, U_228) & ? [ U_220,U_219 ] : ( ~( sK25(U_231, U_230, U_229, U_228) = U_219 ) & visFreeVar(U_219, sK26(U_231, U_230, U_229, U_228)) & ? [ U_218,U_217 ] : ( U_229 = vabs(U_219, U_220, U_217) & U_218 = vgensym(vapp(vapp(sK26(U_231, U_230, U_229, U_228), U_217), vvar(sK25(U_231, U_230, U_229, U_228)))) & U_228 = vsubst(sK25(U_231, U_230, U_229, U_228), sK26(U_231, U_230, U_229, U_228), vabs(U_218, U_220, vsubst(U_219, vvar(U_218), U_217))) ) ) ) ) | ? [ U_227,U_226,U_225 ] : ( U_231 = U_225 & ~( U_225 = U_227 ) & ? [ U_224 ] : ( U_230 = U_224 & ~( visFreeVar(U_227, U_224) ) & ? [ U_223 ] : ( U_229 = vabs(U_227, U_226, U_223) & U_228 = vabs(U_227, U_226, vsubst(U_225, U_224, U_223)) ) ) ) ) ),
% 32.66/33.00 inference(skolemize,[status(esa),new_symbols(skolem,[sK26]),skolemize(U_221,sK26(U_231, U_230, U_229, U_228))],[f_35_19]) ).
% 32.66/33.00
% 32.66/33.00 fof(f_35_21, plain,
% 32.66/33.00 ! [ U_231,U_230,U_229,U_228 ] : ( ~( vsubst(U_231, U_230, U_229) = U_228 ) | ( ( ( U_230 = sK10(U_231, U_230, U_229, U_228) & U_228 = sK10(U_231, U_230, U_229, U_228) ) & ( U_231 = sK11(U_231, U_230, U_229, U_228) & ( U_229 = vvar(sK12(U_231, U_230, U_229, U_228)) & sK11(U_231, U_230, U_229, U_228) = sK12(U_231, U_230, U_229, U_228) ) ) ) | ( ( U_231 = sK13(U_231, U_230, U_229, U_228) & ( U_229 = vvar(sK14(U_231, U_230, U_229, U_228)) & ~( sK13(U_231, U_230, U_229, U_228) = sK14(U_231, U_230, U_229, U_228) ) & U_228 = vvar(sK14(U_231, U_230, U_229, U_228)) ) ) & U_230 = sK15(U_231, U_230, U_229, U_228) ) | ( U_231 = sK17(U_231, U_230, U_229, U_228) & ( U_230 = sK18(U_231, U_230, U_229, U_228) & ( U_229 = vapp(sK16(U_231, U_230, U_229, U_228), sK19(U_231, U_230, U_229, U_228)) & U_228 = vapp(vsubst(sK17(U_231, U_230, U_229, U_228), sK18(U_231, U_230, U_229, U_228), sK16(U_231, U_230, U_229, U_228)), vsubst(sK17(U_231, U_230, U_229, U_228), sK18(U_231, U_230, U_229, U_228), sK19(U_231, U_230, U_229, U_228))) ) ) ) | ( ( U_231 = sK20(U_231, U_230, U_229, U_228) & ( sK20(U_231, U_230, U_229, U_228) = sK21(U_231, U_230, U_229, U_228) & ( U_229 = vabs(sK21(U_231, U_230, U_229, U_228), sK22(U_231, U_230, U_229, U_228), sK23(U_231, U_230, U_229, U_228)) & U_228 = vabs(sK21(U_231, U_230, U_229, U_228), sK22(U_231, U_230, U_229, U_228), sK23(U_231, U_230, U_229, U_228)) ) ) ) & U_230 = sK24(U_231, U_230, U_229, U_228) ) | ( U_231 = sK25(U_231, U_230, U_229, U_228) & ( U_230 = sK26(U_231, U_230, U_229, U_228) & ? [ U_219 ] : ( ~( sK25(U_231, U_230, U_229, U_228) = U_219 ) & visFreeVar(U_219, sK26(U_231, U_230, U_229, U_228)) & ? [ U_218,U_217 ] : ( U_229 = vabs(U_219, sK27(U_231, U_230, U_229, U_228), U_217) & U_218 = vgensym(vapp(vapp(sK26(U_231, U_230, U_229, U_228), U_217), vvar(sK25(U_231, U_230, U_229, U_228)))) & U_228 = vsubst(sK25(U_231, U_230, U_229, U_228), sK26(U_231, U_230, U_229, U_228), vabs(U_218, sK27(U_231, U_230, U_229, U_228), vsubst(U_219, vvar(U_218), U_217))) ) ) ) ) | ? [ U_227,U_226,U_225 ] : ( U_231 = U_225 & ~( U_225 = U_227 ) & ? [ U_224 ] : ( U_230 = U_224 & ~( visFreeVar(U_227, U_224) ) & ? [ U_223 ] : ( U_229 = vabs(U_227, U_226, U_223) & U_228 = vabs(U_227, U_226, vsubst(U_225, U_224, U_223)) ) ) ) ) ),
% 32.66/33.00 inference(skolemize,[status(esa),new_symbols(skolem,[sK27]),skolemize(U_220,sK27(U_231, U_230, U_229, U_228))],[f_35_20]) ).
% 32.66/33.00
% 32.66/33.00 fof(f_35_22, plain,
% 32.66/33.00 ! [ U_231,U_230,U_229,U_228 ] : ( ~( vsubst(U_231, U_230, U_229) = U_228 ) | ( ( ( U_230 = sK10(U_231, U_230, U_229, U_228) & U_228 = sK10(U_231, U_230, U_229, U_228) ) & ( U_231 = sK11(U_231, U_230, U_229, U_228) & ( U_229 = vvar(sK12(U_231, U_230, U_229, U_228)) & sK11(U_231, U_230, U_229, U_228) = sK12(U_231, U_230, U_229, U_228) ) ) ) | ( ( U_231 = sK13(U_231, U_230, U_229, U_228) & ( U_229 = vvar(sK14(U_231, U_230, U_229, U_228)) & ~( sK13(U_231, U_230, U_229, U_228) = sK14(U_231, U_230, U_229, U_228) ) & U_228 = vvar(sK14(U_231, U_230, U_229, U_228)) ) ) & U_230 = sK15(U_231, U_230, U_229, U_228) ) | ( U_231 = sK17(U_231, U_230, U_229, U_228) & ( U_230 = sK18(U_231, U_230, U_229, U_228) & ( U_229 = vapp(sK16(U_231, U_230, U_229, U_228), sK19(U_231, U_230, U_229, U_228)) & U_228 = vapp(vsubst(sK17(U_231, U_230, U_229, U_228), sK18(U_231, U_230, U_229, U_228), sK16(U_231, U_230, U_229, U_228)), vsubst(sK17(U_231, U_230, U_229, U_228), sK18(U_231, U_230, U_229, U_228), sK19(U_231, U_230, U_229, U_228))) ) ) ) | ( ( U_231 = sK20(U_231, U_230, U_229, U_228) & ( sK20(U_231, U_230, U_229, U_228) = sK21(U_231, U_230, U_229, U_228) & ( U_229 = vabs(sK21(U_231, U_230, U_229, U_228), sK22(U_231, U_230, U_229, U_228), sK23(U_231, U_230, U_229, U_228)) & U_228 = vabs(sK21(U_231, U_230, U_229, U_228), sK22(U_231, U_230, U_229, U_228), sK23(U_231, U_230, U_229, U_228)) ) ) ) & U_230 = sK24(U_231, U_230, U_229, U_228) ) | ( U_231 = sK25(U_231, U_230, U_229, U_228) & ( U_230 = sK26(U_231, U_230, U_229, U_228) & ( ~( sK25(U_231, U_230, U_229, U_228) = sK28(U_231, U_230, U_229, U_228) ) & visFreeVar(sK28(U_231, U_230, U_229, U_228), sK26(U_231, U_230, U_229, U_228)) & ? [ U_218,U_217 ] : ( U_229 = vabs(sK28(U_231, U_230, U_229, U_228), sK27(U_231, U_230, U_229, U_228), U_217) & U_218 = vgensym(vapp(vapp(sK26(U_231, U_230, U_229, U_228), U_217), vvar(sK25(U_231, U_230, U_229, U_228)))) & U_228 = vsubst(sK25(U_231, U_230, U_229, U_228), sK26(U_231, U_230, U_229, U_228), vabs(U_218, sK27(U_231, U_230, U_229, U_228), vsubst(sK28(U_231, U_230, U_229, U_228), vvar(U_218), U_217))) ) ) ) ) | ? [ U_227,U_226,U_225 ] : ( U_231 = U_225 & ~( U_225 = U_227 ) & ? [ U_224 ] : ( U_230 = U_224 & ~( visFreeVar(U_227, U_224) ) & ? [ U_223 ] : ( U_229 = vabs(U_227, U_226, U_223) & U_228 = vabs(U_227, U_226, vsubst(U_225, U_224, U_223)) ) ) ) ) ),
% 32.66/33.00 inference(skolemize,[status(esa),new_symbols(skolem,[sK28]),skolemize(U_219,sK28(U_231, U_230, U_229, U_228))],[f_35_21]) ).
% 32.66/33.00
% 32.66/33.00 fof(f_35_23, plain,
% 32.66/33.00 ! [ U_231,U_230,U_229,U_228 ] : ( ~( vsubst(U_231, U_230, U_229) = U_228 ) | ( ( ( U_230 = sK10(U_231, U_230, U_229, U_228) & U_228 = sK10(U_231, U_230, U_229, U_228) ) & ( U_231 = sK11(U_231, U_230, U_229, U_228) & ( U_229 = vvar(sK12(U_231, U_230, U_229, U_228)) & sK11(U_231, U_230, U_229, U_228) = sK12(U_231, U_230, U_229, U_228) ) ) ) | ( ( U_231 = sK13(U_231, U_230, U_229, U_228) & ( U_229 = vvar(sK14(U_231, U_230, U_229, U_228)) & ~( sK13(U_231, U_230, U_229, U_228) = sK14(U_231, U_230, U_229, U_228) ) & U_228 = vvar(sK14(U_231, U_230, U_229, U_228)) ) ) & U_230 = sK15(U_231, U_230, U_229, U_228) ) | ( U_231 = sK17(U_231, U_230, U_229, U_228) & ( U_230 = sK18(U_231, U_230, U_229, U_228) & ( U_229 = vapp(sK16(U_231, U_230, U_229, U_228), sK19(U_231, U_230, U_229, U_228)) & U_228 = vapp(vsubst(sK17(U_231, U_230, U_229, U_228), sK18(U_231, U_230, U_229, U_228), sK16(U_231, U_230, U_229, U_228)), vsubst(sK17(U_231, U_230, U_229, U_228), sK18(U_231, U_230, U_229, U_228), sK19(U_231, U_230, U_229, U_228))) ) ) ) | ( ( U_231 = sK20(U_231, U_230, U_229, U_228) & ( sK20(U_231, U_230, U_229, U_228) = sK21(U_231, U_230, U_229, U_228) & ( U_229 = vabs(sK21(U_231, U_230, U_229, U_228), sK22(U_231, U_230, U_229, U_228), sK23(U_231, U_230, U_229, U_228)) & U_228 = vabs(sK21(U_231, U_230, U_229, U_228), sK22(U_231, U_230, U_229, U_228), sK23(U_231, U_230, U_229, U_228)) ) ) ) & U_230 = sK24(U_231, U_230, U_229, U_228) ) | ( U_231 = sK25(U_231, U_230, U_229, U_228) & ( U_230 = sK26(U_231, U_230, U_229, U_228) & ( ~( sK25(U_231, U_230, U_229, U_228) = sK28(U_231, U_230, U_229, U_228) ) & visFreeVar(sK28(U_231, U_230, U_229, U_228), sK26(U_231, U_230, U_229, U_228)) & ? [ U_217 ] : ( U_229 = vabs(sK28(U_231, U_230, U_229, U_228), sK27(U_231, U_230, U_229, U_228), U_217) & sK29(U_231, U_230, U_229, U_228) = vgensym(vapp(vapp(sK26(U_231, U_230, U_229, U_228), U_217), vvar(sK25(U_231, U_230, U_229, U_228)))) & U_228 = vsubst(sK25(U_231, U_230, U_229, U_228), sK26(U_231, U_230, U_229, U_228), vabs(sK29(U_231, U_230, U_229, U_228), sK27(U_231, U_230, U_229, U_228), vsubst(sK28(U_231, U_230, U_229, U_228), vvar(sK29(U_231, U_230, U_229, U_228)), U_217))) ) ) ) ) | ? [ U_227,U_226,U_225 ] : ( U_231 = U_225 & ~( U_225 = U_227 ) & ? [ U_224 ] : ( U_230 = U_224 & ~( visFreeVar(U_227, U_224) ) & ? [ U_223 ] : ( U_229 = vabs(U_227, U_226, U_223) & U_228 = vabs(U_227, U_226, vsubst(U_225, U_224, U_223)) ) ) ) ) ),
% 32.66/33.00 inference(skolemize,[status(esa),new_symbols(skolem,[sK29]),skolemize(U_218,sK29(U_231, U_230, U_229, U_228))],[f_35_22]) ).
% 32.66/33.00
% 32.66/33.00 fof(f_35_24, plain,
% 32.66/33.00 ! [ U_231,U_230,U_229,U_228 ] : ( ~( vsubst(U_231, U_230, U_229) = U_228 ) | ( ( ( U_230 = sK10(U_231, U_230, U_229, U_228) & U_228 = sK10(U_231, U_230, U_229, U_228) ) & ( U_231 = sK11(U_231, U_230, U_229, U_228) & ( U_229 = vvar(sK12(U_231, U_230, U_229, U_228)) & sK11(U_231, U_230, U_229, U_228) = sK12(U_231, U_230, U_229, U_228) ) ) ) | ( ( U_231 = sK13(U_231, U_230, U_229, U_228) & ( U_229 = vvar(sK14(U_231, U_230, U_229, U_228)) & ~( sK13(U_231, U_230, U_229, U_228) = sK14(U_231, U_230, U_229, U_228) ) & U_228 = vvar(sK14(U_231, U_230, U_229, U_228)) ) ) & U_230 = sK15(U_231, U_230, U_229, U_228) ) | ( U_231 = sK17(U_231, U_230, U_229, U_228) & ( U_230 = sK18(U_231, U_230, U_229, U_228) & ( U_229 = vapp(sK16(U_231, U_230, U_229, U_228), sK19(U_231, U_230, U_229, U_228)) & U_228 = vapp(vsubst(sK17(U_231, U_230, U_229, U_228), sK18(U_231, U_230, U_229, U_228), sK16(U_231, U_230, U_229, U_228)), vsubst(sK17(U_231, U_230, U_229, U_228), sK18(U_231, U_230, U_229, U_228), sK19(U_231, U_230, U_229, U_228))) ) ) ) | ( ( U_231 = sK20(U_231, U_230, U_229, U_228) & ( sK20(U_231, U_230, U_229, U_228) = sK21(U_231, U_230, U_229, U_228) & ( U_229 = vabs(sK21(U_231, U_230, U_229, U_228), sK22(U_231, U_230, U_229, U_228), sK23(U_231, U_230, U_229, U_228)) & U_228 = vabs(sK21(U_231, U_230, U_229, U_228), sK22(U_231, U_230, U_229, U_228), sK23(U_231, U_230, U_229, U_228)) ) ) ) & U_230 = sK24(U_231, U_230, U_229, U_228) ) | ( U_231 = sK25(U_231, U_230, U_229, U_228) & ( U_230 = sK26(U_231, U_230, U_229, U_228) & ( ~( sK25(U_231, U_230, U_229, U_228) = sK28(U_231, U_230, U_229, U_228) ) & visFreeVar(sK28(U_231, U_230, U_229, U_228), sK26(U_231, U_230, U_229, U_228)) & ( U_229 = vabs(sK28(U_231, U_230, U_229, U_228), sK27(U_231, U_230, U_229, U_228), sK30(U_231, U_230, U_229, U_228)) & sK29(U_231, U_230, U_229, U_228) = vgensym(vapp(vapp(sK26(U_231, U_230, U_229, U_228), sK30(U_231, U_230, U_229, U_228)), vvar(sK25(U_231, U_230, U_229, U_228)))) & U_228 = vsubst(sK25(U_231, U_230, U_229, U_228), sK26(U_231, U_230, U_229, U_228), vabs(sK29(U_231, U_230, U_229, U_228), sK27(U_231, U_230, U_229, U_228), vsubst(sK28(U_231, U_230, U_229, U_228), vvar(sK29(U_231, U_230, U_229, U_228)), sK30(U_231, U_230, U_229, U_228)))) ) ) ) ) | ? [ U_227,U_226,U_225 ] : ( U_231 = U_225 & ~( U_225 = U_227 ) & ? [ U_224 ] : ( U_230 = U_224 & ~( visFreeVar(U_227, U_224) ) & ? [ U_223 ] : ( U_229 = vabs(U_227, U_226, U_223) & U_228 = vabs(U_227, U_226, vsubst(U_225, U_224, U_223)) ) ) ) ) ),
% 32.66/33.00 inference(skolemize,[status(esa),new_symbols(skolem,[sK30]),skolemize(U_217,sK30(U_231, U_230, U_229, U_228))],[f_35_23]) ).
% 32.66/33.00
% 32.66/33.00 fof(f_35_25, plain,
% 32.66/33.00 ! [ U_231,U_230,U_229,U_228 ] : ( ~( vsubst(U_231, U_230, U_229) = U_228 ) | ( ( ( U_230 = sK10(U_231, U_230, U_229, U_228) & U_228 = sK10(U_231, U_230, U_229, U_228) ) & ( U_231 = sK11(U_231, U_230, U_229, U_228) & ( U_229 = vvar(sK12(U_231, U_230, U_229, U_228)) & sK11(U_231, U_230, U_229, U_228) = sK12(U_231, U_230, U_229, U_228) ) ) ) | ( ( U_231 = sK13(U_231, U_230, U_229, U_228) & ( U_229 = vvar(sK14(U_231, U_230, U_229, U_228)) & ~( sK13(U_231, U_230, U_229, U_228) = sK14(U_231, U_230, U_229, U_228) ) & U_228 = vvar(sK14(U_231, U_230, U_229, U_228)) ) ) & U_230 = sK15(U_231, U_230, U_229, U_228) ) | ( U_231 = sK17(U_231, U_230, U_229, U_228) & ( U_230 = sK18(U_231, U_230, U_229, U_228) & ( U_229 = vapp(sK16(U_231, U_230, U_229, U_228), sK19(U_231, U_230, U_229, U_228)) & U_228 = vapp(vsubst(sK17(U_231, U_230, U_229, U_228), sK18(U_231, U_230, U_229, U_228), sK16(U_231, U_230, U_229, U_228)), vsubst(sK17(U_231, U_230, U_229, U_228), sK18(U_231, U_230, U_229, U_228), sK19(U_231, U_230, U_229, U_228))) ) ) ) | ( ( U_231 = sK20(U_231, U_230, U_229, U_228) & ( sK20(U_231, U_230, U_229, U_228) = sK21(U_231, U_230, U_229, U_228) & ( U_229 = vabs(sK21(U_231, U_230, U_229, U_228), sK22(U_231, U_230, U_229, U_228), sK23(U_231, U_230, U_229, U_228)) & U_228 = vabs(sK21(U_231, U_230, U_229, U_228), sK22(U_231, U_230, U_229, U_228), sK23(U_231, U_230, U_229, U_228)) ) ) ) & U_230 = sK24(U_231, U_230, U_229, U_228) ) | ( U_231 = sK25(U_231, U_230, U_229, U_228) & ( U_230 = sK26(U_231, U_230, U_229, U_228) & ( ~( sK25(U_231, U_230, U_229, U_228) = sK28(U_231, U_230, U_229, U_228) ) & visFreeVar(sK28(U_231, U_230, U_229, U_228), sK26(U_231, U_230, U_229, U_228)) & ( U_229 = vabs(sK28(U_231, U_230, U_229, U_228), sK27(U_231, U_230, U_229, U_228), sK30(U_231, U_230, U_229, U_228)) & sK29(U_231, U_230, U_229, U_228) = vgensym(vapp(vapp(sK26(U_231, U_230, U_229, U_228), sK30(U_231, U_230, U_229, U_228)), vvar(sK25(U_231, U_230, U_229, U_228)))) & U_228 = vsubst(sK25(U_231, U_230, U_229, U_228), sK26(U_231, U_230, U_229, U_228), vabs(sK29(U_231, U_230, U_229, U_228), sK27(U_231, U_230, U_229, U_228), vsubst(sK28(U_231, U_230, U_229, U_228), vvar(sK29(U_231, U_230, U_229, U_228)), sK30(U_231, U_230, U_229, U_228)))) ) ) ) ) | ? [ U_226,U_225 ] : ( U_231 = U_225 & ~( U_225 = sK31(U_231, U_230, U_229, U_228) ) & ? [ U_224 ] : ( U_230 = U_224 & ~( visFreeVar(sK31(U_231, U_230, U_229, U_228), U_224) ) & ? [ U_223 ] : ( U_229 = vabs(sK31(U_231, U_230, U_229, U_228), U_226, U_223) & U_228 = vabs(sK31(U_231, U_230, U_229, U_228), U_226, vsubst(U_225, U_224, U_223)) ) ) ) ) ),
% 32.66/33.00 inference(skolemize,[status(esa),new_symbols(skolem,[sK31]),skolemize(U_227,sK31(U_231, U_230, U_229, U_228))],[f_35_24]) ).
% 32.66/33.00
% 32.66/33.00 fof(f_35_26, plain,
% 32.66/33.00 ! [ U_231,U_230,U_229,U_228 ] : ( ~( vsubst(U_231, U_230, U_229) = U_228 ) | ( ( ( U_230 = sK10(U_231, U_230, U_229, U_228) & U_228 = sK10(U_231, U_230, U_229, U_228) ) & ( U_231 = sK11(U_231, U_230, U_229, U_228) & ( U_229 = vvar(sK12(U_231, U_230, U_229, U_228)) & sK11(U_231, U_230, U_229, U_228) = sK12(U_231, U_230, U_229, U_228) ) ) ) | ( ( U_231 = sK13(U_231, U_230, U_229, U_228) & ( U_229 = vvar(sK14(U_231, U_230, U_229, U_228)) & ~( sK13(U_231, U_230, U_229, U_228) = sK14(U_231, U_230, U_229, U_228) ) & U_228 = vvar(sK14(U_231, U_230, U_229, U_228)) ) ) & U_230 = sK15(U_231, U_230, U_229, U_228) ) | ( U_231 = sK17(U_231, U_230, U_229, U_228) & ( U_230 = sK18(U_231, U_230, U_229, U_228) & ( U_229 = vapp(sK16(U_231, U_230, U_229, U_228), sK19(U_231, U_230, U_229, U_228)) & U_228 = vapp(vsubst(sK17(U_231, U_230, U_229, U_228), sK18(U_231, U_230, U_229, U_228), sK16(U_231, U_230, U_229, U_228)), vsubst(sK17(U_231, U_230, U_229, U_228), sK18(U_231, U_230, U_229, U_228), sK19(U_231, U_230, U_229, U_228))) ) ) ) | ( ( U_231 = sK20(U_231, U_230, U_229, U_228) & ( sK20(U_231, U_230, U_229, U_228) = sK21(U_231, U_230, U_229, U_228) & ( U_229 = vabs(sK21(U_231, U_230, U_229, U_228), sK22(U_231, U_230, U_229, U_228), sK23(U_231, U_230, U_229, U_228)) & U_228 = vabs(sK21(U_231, U_230, U_229, U_228), sK22(U_231, U_230, U_229, U_228), sK23(U_231, U_230, U_229, U_228)) ) ) ) & U_230 = sK24(U_231, U_230, U_229, U_228) ) | ( U_231 = sK25(U_231, U_230, U_229, U_228) & ( U_230 = sK26(U_231, U_230, U_229, U_228) & ( ~( sK25(U_231, U_230, U_229, U_228) = sK28(U_231, U_230, U_229, U_228) ) & visFreeVar(sK28(U_231, U_230, U_229, U_228), sK26(U_231, U_230, U_229, U_228)) & ( U_229 = vabs(sK28(U_231, U_230, U_229, U_228), sK27(U_231, U_230, U_229, U_228), sK30(U_231, U_230, U_229, U_228)) & sK29(U_231, U_230, U_229, U_228) = vgensym(vapp(vapp(sK26(U_231, U_230, U_229, U_228), sK30(U_231, U_230, U_229, U_228)), vvar(sK25(U_231, U_230, U_229, U_228)))) & U_228 = vsubst(sK25(U_231, U_230, U_229, U_228), sK26(U_231, U_230, U_229, U_228), vabs(sK29(U_231, U_230, U_229, U_228), sK27(U_231, U_230, U_229, U_228), vsubst(sK28(U_231, U_230, U_229, U_228), vvar(sK29(U_231, U_230, U_229, U_228)), sK30(U_231, U_230, U_229, U_228)))) ) ) ) ) | ? [ U_225 ] : ( U_231 = U_225 & ~( U_225 = sK31(U_231, U_230, U_229, U_228) ) & ? [ U_224 ] : ( U_230 = U_224 & ~( visFreeVar(sK31(U_231, U_230, U_229, U_228), U_224) ) & ? [ U_223 ] : ( U_229 = vabs(sK31(U_231, U_230, U_229, U_228), sK32(U_231, U_230, U_229, U_228), U_223) & U_228 = vabs(sK31(U_231, U_230, U_229, U_228), sK32(U_231, U_230, U_229, U_228), vsubst(U_225, U_224, U_223)) ) ) ) ) ),
% 32.66/33.00 inference(skolemize,[status(esa),new_symbols(skolem,[sK32]),skolemize(U_226,sK32(U_231, U_230, U_229, U_228))],[f_35_25]) ).
% 32.66/33.00
% 32.66/33.00 fof(f_35_27, plain,
% 32.66/33.00 ! [ U_231,U_230,U_229,U_228 ] : ( ~( vsubst(U_231, U_230, U_229) = U_228 ) | ( ( ( U_230 = sK10(U_231, U_230, U_229, U_228) & U_228 = sK10(U_231, U_230, U_229, U_228) ) & ( U_231 = sK11(U_231, U_230, U_229, U_228) & ( U_229 = vvar(sK12(U_231, U_230, U_229, U_228)) & sK11(U_231, U_230, U_229, U_228) = sK12(U_231, U_230, U_229, U_228) ) ) ) | ( ( U_231 = sK13(U_231, U_230, U_229, U_228) & ( U_229 = vvar(sK14(U_231, U_230, U_229, U_228)) & ~( sK13(U_231, U_230, U_229, U_228) = sK14(U_231, U_230, U_229, U_228) ) & U_228 = vvar(sK14(U_231, U_230, U_229, U_228)) ) ) & U_230 = sK15(U_231, U_230, U_229, U_228) ) | ( U_231 = sK17(U_231, U_230, U_229, U_228) & ( U_230 = sK18(U_231, U_230, U_229, U_228) & ( U_229 = vapp(sK16(U_231, U_230, U_229, U_228), sK19(U_231, U_230, U_229, U_228)) & U_228 = vapp(vsubst(sK17(U_231, U_230, U_229, U_228), sK18(U_231, U_230, U_229, U_228), sK16(U_231, U_230, U_229, U_228)), vsubst(sK17(U_231, U_230, U_229, U_228), sK18(U_231, U_230, U_229, U_228), sK19(U_231, U_230, U_229, U_228))) ) ) ) | ( ( U_231 = sK20(U_231, U_230, U_229, U_228) & ( sK20(U_231, U_230, U_229, U_228) = sK21(U_231, U_230, U_229, U_228) & ( U_229 = vabs(sK21(U_231, U_230, U_229, U_228), sK22(U_231, U_230, U_229, U_228), sK23(U_231, U_230, U_229, U_228)) & U_228 = vabs(sK21(U_231, U_230, U_229, U_228), sK22(U_231, U_230, U_229, U_228), sK23(U_231, U_230, U_229, U_228)) ) ) ) & U_230 = sK24(U_231, U_230, U_229, U_228) ) | ( U_231 = sK25(U_231, U_230, U_229, U_228) & ( U_230 = sK26(U_231, U_230, U_229, U_228) & ( ~( sK25(U_231, U_230, U_229, U_228) = sK28(U_231, U_230, U_229, U_228) ) & visFreeVar(sK28(U_231, U_230, U_229, U_228), sK26(U_231, U_230, U_229, U_228)) & ( U_229 = vabs(sK28(U_231, U_230, U_229, U_228), sK27(U_231, U_230, U_229, U_228), sK30(U_231, U_230, U_229, U_228)) & sK29(U_231, U_230, U_229, U_228) = vgensym(vapp(vapp(sK26(U_231, U_230, U_229, U_228), sK30(U_231, U_230, U_229, U_228)), vvar(sK25(U_231, U_230, U_229, U_228)))) & U_228 = vsubst(sK25(U_231, U_230, U_229, U_228), sK26(U_231, U_230, U_229, U_228), vabs(sK29(U_231, U_230, U_229, U_228), sK27(U_231, U_230, U_229, U_228), vsubst(sK28(U_231, U_230, U_229, U_228), vvar(sK29(U_231, U_230, U_229, U_228)), sK30(U_231, U_230, U_229, U_228)))) ) ) ) ) | ( U_231 = sK33(U_231, U_230, U_229, U_228) & ~( sK33(U_231, U_230, U_229, U_228) = sK31(U_231, U_230, U_229, U_228) ) & ? [ U_224 ] : ( U_230 = U_224 & ~( visFreeVar(sK31(U_231, U_230, U_229, U_228), U_224) ) & ? [ U_223 ] : ( U_229 = vabs(sK31(U_231, U_230, U_229, U_228), sK32(U_231, U_230, U_229, U_228), U_223) & U_228 = vabs(sK31(U_231, U_230, U_229, U_228), sK32(U_231, U_230, U_229, U_228), vsubst(sK33(U_231, U_230, U_229, U_228), U_224, U_223)) ) ) ) ) ),
% 32.66/33.00 inference(skolemize,[status(esa),new_symbols(skolem,[sK33]),skolemize(U_225,sK33(U_231, U_230, U_229, U_228))],[f_35_26]) ).
% 32.66/33.00
% 32.66/33.00 fof(f_35_28, plain,
% 32.66/33.00 ! [ U_231,U_230,U_229,U_228 ] : ( ~( vsubst(U_231, U_230, U_229) = U_228 ) | ( ( ( U_230 = sK10(U_231, U_230, U_229, U_228) & U_228 = sK10(U_231, U_230, U_229, U_228) ) & ( U_231 = sK11(U_231, U_230, U_229, U_228) & ( U_229 = vvar(sK12(U_231, U_230, U_229, U_228)) & sK11(U_231, U_230, U_229, U_228) = sK12(U_231, U_230, U_229, U_228) ) ) ) | ( ( U_231 = sK13(U_231, U_230, U_229, U_228) & ( U_229 = vvar(sK14(U_231, U_230, U_229, U_228)) & ~( sK13(U_231, U_230, U_229, U_228) = sK14(U_231, U_230, U_229, U_228) ) & U_228 = vvar(sK14(U_231, U_230, U_229, U_228)) ) ) & U_230 = sK15(U_231, U_230, U_229, U_228) ) | ( U_231 = sK17(U_231, U_230, U_229, U_228) & ( U_230 = sK18(U_231, U_230, U_229, U_228) & ( U_229 = vapp(sK16(U_231, U_230, U_229, U_228), sK19(U_231, U_230, U_229, U_228)) & U_228 = vapp(vsubst(sK17(U_231, U_230, U_229, U_228), sK18(U_231, U_230, U_229, U_228), sK16(U_231, U_230, U_229, U_228)), vsubst(sK17(U_231, U_230, U_229, U_228), sK18(U_231, U_230, U_229, U_228), sK19(U_231, U_230, U_229, U_228))) ) ) ) | ( ( U_231 = sK20(U_231, U_230, U_229, U_228) & ( sK20(U_231, U_230, U_229, U_228) = sK21(U_231, U_230, U_229, U_228) & ( U_229 = vabs(sK21(U_231, U_230, U_229, U_228), sK22(U_231, U_230, U_229, U_228), sK23(U_231, U_230, U_229, U_228)) & U_228 = vabs(sK21(U_231, U_230, U_229, U_228), sK22(U_231, U_230, U_229, U_228), sK23(U_231, U_230, U_229, U_228)) ) ) ) & U_230 = sK24(U_231, U_230, U_229, U_228) ) | ( U_231 = sK25(U_231, U_230, U_229, U_228) & ( U_230 = sK26(U_231, U_230, U_229, U_228) & ( ~( sK25(U_231, U_230, U_229, U_228) = sK28(U_231, U_230, U_229, U_228) ) & visFreeVar(sK28(U_231, U_230, U_229, U_228), sK26(U_231, U_230, U_229, U_228)) & ( U_229 = vabs(sK28(U_231, U_230, U_229, U_228), sK27(U_231, U_230, U_229, U_228), sK30(U_231, U_230, U_229, U_228)) & sK29(U_231, U_230, U_229, U_228) = vgensym(vapp(vapp(sK26(U_231, U_230, U_229, U_228), sK30(U_231, U_230, U_229, U_228)), vvar(sK25(U_231, U_230, U_229, U_228)))) & U_228 = vsubst(sK25(U_231, U_230, U_229, U_228), sK26(U_231, U_230, U_229, U_228), vabs(sK29(U_231, U_230, U_229, U_228), sK27(U_231, U_230, U_229, U_228), vsubst(sK28(U_231, U_230, U_229, U_228), vvar(sK29(U_231, U_230, U_229, U_228)), sK30(U_231, U_230, U_229, U_228)))) ) ) ) ) | ( U_231 = sK33(U_231, U_230, U_229, U_228) & ~( sK33(U_231, U_230, U_229, U_228) = sK31(U_231, U_230, U_229, U_228) ) & ( U_230 = sK34(U_231, U_230, U_229, U_228) & ~( visFreeVar(sK31(U_231, U_230, U_229, U_228), sK34(U_231, U_230, U_229, U_228)) ) & ? [ U_223 ] : ( U_229 = vabs(sK31(U_231, U_230, U_229, U_228), sK32(U_231, U_230, U_229, U_228), U_223) & U_228 = vabs(sK31(U_231, U_230, U_229, U_228), sK32(U_231, U_230, U_229, U_228), vsubst(sK33(U_231, U_230, U_229, U_228), sK34(U_231, U_230, U_229, U_228), U_223)) ) ) ) ) ),
% 32.66/33.00 inference(skolemize,[status(esa),new_symbols(skolem,[sK34]),skolemize(U_224,sK34(U_231, U_230, U_229, U_228))],[f_35_27]) ).
% 32.66/33.00
% 32.66/33.00 fof(f_35_29, plain,
% 32.66/33.00 ! [ U_231,U_230,U_229,U_228 ] : ( ~( vsubst(U_231, U_230, U_229) = U_228 ) | ( ( ( U_230 = sK10(U_231, U_230, U_229, U_228) & U_228 = sK10(U_231, U_230, U_229, U_228) ) & ( U_231 = sK11(U_231, U_230, U_229, U_228) & ( U_229 = vvar(sK12(U_231, U_230, U_229, U_228)) & sK11(U_231, U_230, U_229, U_228) = sK12(U_231, U_230, U_229, U_228) ) ) ) | ( ( U_231 = sK13(U_231, U_230, U_229, U_228) & ( U_229 = vvar(sK14(U_231, U_230, U_229, U_228)) & ~( sK13(U_231, U_230, U_229, U_228) = sK14(U_231, U_230, U_229, U_228) ) & U_228 = vvar(sK14(U_231, U_230, U_229, U_228)) ) ) & U_230 = sK15(U_231, U_230, U_229, U_228) ) | ( U_231 = sK17(U_231, U_230, U_229, U_228) & ( U_230 = sK18(U_231, U_230, U_229, U_228) & ( U_229 = vapp(sK16(U_231, U_230, U_229, U_228), sK19(U_231, U_230, U_229, U_228)) & U_228 = vapp(vsubst(sK17(U_231, U_230, U_229, U_228), sK18(U_231, U_230, U_229, U_228), sK16(U_231, U_230, U_229, U_228)), vsubst(sK17(U_231, U_230, U_229, U_228), sK18(U_231, U_230, U_229, U_228), sK19(U_231, U_230, U_229, U_228))) ) ) ) | ( ( U_231 = sK20(U_231, U_230, U_229, U_228) & ( sK20(U_231, U_230, U_229, U_228) = sK21(U_231, U_230, U_229, U_228) & ( U_229 = vabs(sK21(U_231, U_230, U_229, U_228), sK22(U_231, U_230, U_229, U_228), sK23(U_231, U_230, U_229, U_228)) & U_228 = vabs(sK21(U_231, U_230, U_229, U_228), sK22(U_231, U_230, U_229, U_228), sK23(U_231, U_230, U_229, U_228)) ) ) ) & U_230 = sK24(U_231, U_230, U_229, U_228) ) | ( U_231 = sK25(U_231, U_230, U_229, U_228) & ( U_230 = sK26(U_231, U_230, U_229, U_228) & ( ~( sK25(U_231, U_230, U_229, U_228) = sK28(U_231, U_230, U_229, U_228) ) & visFreeVar(sK28(U_231, U_230, U_229, U_228), sK26(U_231, U_230, U_229, U_228)) & ( U_229 = vabs(sK28(U_231, U_230, U_229, U_228), sK27(U_231, U_230, U_229, U_228), sK30(U_231, U_230, U_229, U_228)) & sK29(U_231, U_230, U_229, U_228) = vgensym(vapp(vapp(sK26(U_231, U_230, U_229, U_228), sK30(U_231, U_230, U_229, U_228)), vvar(sK25(U_231, U_230, U_229, U_228)))) & U_228 = vsubst(sK25(U_231, U_230, U_229, U_228), sK26(U_231, U_230, U_229, U_228), vabs(sK29(U_231, U_230, U_229, U_228), sK27(U_231, U_230, U_229, U_228), vsubst(sK28(U_231, U_230, U_229, U_228), vvar(sK29(U_231, U_230, U_229, U_228)), sK30(U_231, U_230, U_229, U_228)))) ) ) ) ) | ( U_231 = sK33(U_231, U_230, U_229, U_228) & ~( sK33(U_231, U_230, U_229, U_228) = sK31(U_231, U_230, U_229, U_228) ) & ( U_230 = sK34(U_231, U_230, U_229, U_228) & ~( visFreeVar(sK31(U_231, U_230, U_229, U_228), sK34(U_231, U_230, U_229, U_228)) ) & ( U_229 = vabs(sK31(U_231, U_230, U_229, U_228), sK32(U_231, U_230, U_229, U_228), sK35(U_231, U_230, U_229, U_228)) & U_228 = vabs(sK31(U_231, U_230, U_229, U_228), sK32(U_231, U_230, U_229, U_228), vsubst(sK33(U_231, U_230, U_229, U_228), sK34(U_231, U_230, U_229, U_228), sK35(U_231, U_230, U_229, U_228))) ) ) ) ) ),
% 32.66/33.00 inference(skolemize,[status(esa),new_symbols(skolem,[sK35]),skolemize(U_223,sK35(U_231, U_230, U_229, U_228))],[f_35_28]) ).
% 32.66/33.00
% 32.66/33.00 fof(f_35_30, plain,
% 32.66/33.00 ( ( ! [U_229, U_231, U_228, U_230] : ( vsubst(U_231, U_230, U_229) != U_228 | sP11(U_229, U_231, U_228, U_230) | sP12(U_229, U_231, U_228, U_230) | sP13(U_229, U_231, U_228, U_230) | sP14(U_229, U_231, U_228, U_230) | sP15(U_229, U_231, U_228, U_230) | sP16(U_229, U_231, U_228, U_230) ) ) & ( ! [U_229, U_231, U_228, U_230] : ( ~sP11(U_229, U_231, U_228, U_230) | U_230 = sK10(U_231, U_230, U_229, U_228) ) ) & ( ! [U_229, U_231, U_228, U_230] : ( ~sP11(U_229, U_231, U_228, U_230) | U_228 = sK10(U_231, U_230, U_229, U_228) ) ) & ( ! [U_229, U_231, U_228, U_230] : ( ~sP11(U_229, U_231, U_228, U_230) | U_231 = sK11(U_231, U_230, U_229, U_228) ) ) & ( ! [U_229, U_231, U_228, U_230] : ( ~sP11(U_229, U_231, U_228, U_230) | U_229 = vvar(sK12(U_231, U_230, U_229, U_228)) ) ) & ( ! [U_229, U_231, U_228, U_230] : ( ~sP11(U_229, U_231, U_228, U_230) | sK11(U_231, U_230, U_229, U_228) = sK12(U_231, U_230, U_229, U_228) ) ) & ( ! [U_229, U_231, U_228, U_230] : ( ~sP12(U_229, U_231, U_228, U_230) | U_231 = sK13(U_231, U_230, U_229, U_228) ) ) & ( ! [U_229, U_231, U_228, U_230] : ( ~sP12(U_229, U_231, U_228, U_230) | U_229 = vvar(sK14(U_231, U_230, U_229, U_228)) ) ) & ( ! [U_229, U_231, U_228, U_230] : ( ~sP12(U_229, U_231, U_228, U_230) | sK13(U_231, U_230, U_229, U_228) != sK14(U_231, U_230, U_229, U_228) ) ) & ( ! [U_229, U_231, U_228, U_230] : ( ~sP12(U_229, U_231, U_228, U_230) | U_228 = vvar(sK14(U_231, U_230, U_229, U_228)) ) ) & ( ! [U_229, U_231, U_228, U_230] : ( ~sP12(U_229, U_231, U_228, U_230) | U_230 = sK15(U_231, U_230, U_229, U_228) ) ) & ( ! [U_229, U_231, U_228, U_230] : ( ~sP13(U_229, U_231, U_228, U_230) | U_231 = sK17(U_231, U_230, U_229, U_228) ) ) & ( ! [U_229, U_231, U_228, U_230] : ( ~sP13(U_229, U_231, U_228, U_230) | U_230 = sK18(U_231, U_230, U_229, U_228) ) ) & ( ! [U_229, U_231, U_228, U_230] : ( ~sP13(U_229, U_231, U_228, U_230) | U_229 = vapp(sK16(U_231, U_230, U_229, U_228), sK19(U_231, U_230, U_229, U_228)) ) ) & ( ! [U_229, U_231, U_228, U_230] : ( ~sP13(U_229, U_231, U_228, U_230) | U_228 = vapp(vsubst(sK17(U_231, U_230, U_229, U_228), sK18(U_231, U_230, U_229, U_228), sK16(U_231, U_230, U_229, U_228)), vsubst(sK17(U_231, U_230, U_229, U_228), sK18(U_231, U_230, U_229, U_228), sK19(U_231, U_230, U_229, U_228))) ) ) & ( ! [U_229, U_231, U_228, U_230] : ( ~sP14(U_229, U_231, U_228, U_230) | U_231 = sK20(U_231, U_230, U_229, U_228) ) ) & ( ! [U_229, U_231, U_228, U_230] : ( ~sP14(U_229, U_231, U_228, U_230) | sK20(U_231, U_230, U_229, U_228) = sK21(U_231, U_230, U_229, U_228) ) ) & ( ! [U_229, U_231, U_228, U_230] : ( ~sP14(U_229, U_231, U_228, U_230) | U_229 = vabs(sK21(U_231, U_230, U_229, U_228), sK22(U_231, U_230, U_229, U_228), sK23(U_231, U_230, U_229, U_228)) ) ) & ( ! [U_229, U_231, U_228, U_230] : ( ~sP14(U_229, U_231, U_228, U_230) | U_228 = vabs(sK21(U_231, U_230, U_229, U_228), sK22(U_231, U_230, U_229, U_228), sK23(U_231, U_230, U_229, U_228)) ) ) & ( ! [U_229, U_231, U_228, U_230] : ( ~sP14(U_229, U_231, U_228, U_230) | U_230 = sK24(U_231, U_230, U_229, U_228) ) ) & ( ! [U_229, U_231, U_228, U_230] : ( ~sP15(U_229, U_231, U_228, U_230) | U_231 = sK25(U_231, U_230, U_229, U_228) ) ) & ( ! [U_229, U_231, U_228, U_230] : ( ~sP15(U_229, U_231, U_228, U_230) | U_230 = sK26(U_231, U_230, U_229, U_228) ) ) & ( ! [U_229, U_231, U_228, U_230] : ( ~sP15(U_229, U_231, U_228, U_230) | sK25(U_231, U_230, U_229, U_228) != sK28(U_231, U_230, U_229, U_228) ) ) & ( ! [U_229, U_231, U_228, U_230] : ( ~sP15(U_229, U_231, U_228, U_230) | visFreeVar(sK28(U_231, U_230, U_229, U_228), sK26(U_231, U_230, U_229, U_228)) ) ) & ( ! [U_229, U_231, U_228, U_230] : ( ~sP15(U_229, U_231, U_228, U_230) | U_229 = vabs(sK28(U_231, U_230, U_229, U_228), sK27(U_231, U_230, U_229, U_228), sK30(U_231, U_230, U_229, U_228)) ) ) & ( ! [U_229, U_231, U_228, U_230] : ( ~sP15(U_229, U_231, U_228, U_230) | sK29(U_231, U_230, U_229, U_228) = vgensym(vapp(vapp(sK26(U_231, U_230, U_229, U_228), sK30(U_231, U_230, U_229, U_228)), vvar(sK25(U_231, U_230, U_229, U_228)))) ) ) & ( ! [U_229, U_231, U_228, U_230] : ( ~sP15(U_229, U_231, U_228, U_230) | U_228 = vsubst(sK25(U_231, U_230, U_229, U_228), sK26(U_231, U_230, U_229, U_228), vabs(sK29(U_231, U_230, U_229, U_228), sK27(U_231, U_230, U_229, U_228), vsubst(sK28(U_231, U_230, U_229, U_228), vvar(sK29(U_231, U_230, U_229, U_228)), sK30(U_231, U_230, U_229, U_228)))) ) ) & ( ! [U_229, U_231, U_228, U_230] : ( ~sP16(U_229, U_231, U_228, U_230) | U_231 = sK33(U_231, U_230, U_229, U_228) ) ) & ( ! [U_229, U_231, U_228, U_230] : ( ~sP16(U_229, U_231, U_228, U_230) | sK33(U_231, U_230, U_229, U_228) != sK31(U_231, U_230, U_229, U_228) ) ) & ( ! [U_229, U_231, U_228, U_230] : ( ~sP16(U_229, U_231, U_228, U_230) | U_230 = sK34(U_231, U_230, U_229, U_228) ) ) & ( ! [U_229, U_231, U_228, U_230] : ( ~sP16(U_229, U_231, U_228, U_230) | ~visFreeVar(sK31(U_231, U_230, U_229, U_228), sK34(U_231, U_230, U_229, U_228)) ) ) & ( ! [U_229, U_231, U_228, U_230] : ( ~sP16(U_229, U_231, U_228, U_230) | U_229 = vabs(sK31(U_231, U_230, U_229, U_228), sK32(U_231, U_230, U_229, U_228), sK35(U_231, U_230, U_229, U_228)) ) ) & ( ! [U_229, U_231, U_228, U_230] : ( ~sP16(U_229, U_231, U_228, U_230) | U_228 = vabs(sK31(U_231, U_230, U_229, U_228), sK32(U_231, U_230, U_229, U_228), vsubst(sK33(U_231, U_230, U_229, U_228), sK34(U_231, U_230, U_229, U_228), sK35(U_231, U_230, U_229, U_228))) ) ) ),
% 32.66/33.00 inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP11, sP12, sP13, sP14, sP15, sP16])],[f_35_29]) ).
% 32.66/33.00
% 32.66/33.00 cnf(f_35_31, plain,
% 32.66/33.00 ( vsubst(U_231, U_230, U_229) != U_228 | sP11(U_229, U_231, U_228, U_230) | sP12(U_229, U_231, U_228, U_230) | sP13(U_229, U_231, U_228, U_230) | sP14(U_229, U_231, U_228, U_230) | sP15(U_229, U_231, U_228, U_230) | sP16(U_229, U_231, U_228, U_230) ),
% 32.66/33.00 inference(clausify,[status(thm)],[f_35_30]) ).
% 32.66/33.00
% 32.66/33.00 cnf(f_35_32, plain,
% 32.66/33.00 ( ~sP11(U_229, U_231, U_228, U_230) | U_230 = sK10(U_231, U_230, U_229, U_228) ),
% 32.66/33.00 inference(clausify,[status(thm)],[f_35_30]) ).
% 32.66/33.00
% 32.66/33.00 cnf(f_35_33, plain,
% 32.66/33.00 ( ~sP11(U_229, U_231, U_228, U_230) | U_228 = sK10(U_231, U_230, U_229, U_228) ),
% 32.66/33.00 inference(clausify,[status(thm)],[f_35_30]) ).
% 32.66/33.00
% 32.66/33.00 cnf(f_35_34, plain,
% 32.66/33.00 ( ~sP11(U_229, U_231, U_228, U_230) | U_231 = sK11(U_231, U_230, U_229, U_228) ),
% 32.66/33.00 inference(clausify,[status(thm)],[f_35_30]) ).
% 32.66/33.00
% 32.66/33.00 cnf(f_35_35, plain,
% 32.66/33.00 ( ~sP11(U_229, U_231, U_228, U_230) | U_229 = vvar(sK12(U_231, U_230, U_229, U_228)) ),
% 32.66/33.00 inference(clausify,[status(thm)],[f_35_30]) ).
% 32.66/33.00
% 32.66/33.00 cnf(f_35_36, plain,
% 32.66/33.00 ( ~sP11(U_229, U_231, U_228, U_230) | sK11(U_231, U_230, U_229, U_228) = sK12(U_231, U_230, U_229, U_228) ),
% 32.66/33.00 inference(clausify,[status(thm)],[f_35_30]) ).
% 32.66/33.00
% 32.66/33.00 cnf(f_35_37, plain,
% 32.66/33.00 ( ~sP12(U_229, U_231, U_228, U_230) | U_231 = sK13(U_231, U_230, U_229, U_228) ),
% 32.66/33.00 inference(clausify,[status(thm)],[f_35_30]) ).
% 32.66/33.00
% 32.66/33.00 cnf(f_35_38, plain,
% 32.66/33.00 ( ~sP12(U_229, U_231, U_228, U_230) | U_229 = vvar(sK14(U_231, U_230, U_229, U_228)) ),
% 32.66/33.00 inference(clausify,[status(thm)],[f_35_30]) ).
% 32.66/33.00
% 32.66/33.00 cnf(f_35_39, plain,
% 32.66/33.00 ( ~sP12(U_229, U_231, U_228, U_230) | sK13(U_231, U_230, U_229, U_228) != sK14(U_231, U_230, U_229, U_228) ),
% 32.66/33.00 inference(clausify,[status(thm)],[f_35_30]) ).
% 32.66/33.00
% 32.66/33.00 cnf(f_35_40, plain,
% 32.66/33.00 ( ~sP12(U_229, U_231, U_228, U_230) | U_228 = vvar(sK14(U_231, U_230, U_229, U_228)) ),
% 32.66/33.00 inference(clausify,[status(thm)],[f_35_30]) ).
% 32.66/33.00
% 32.66/33.00 cnf(f_35_41, plain,
% 32.66/33.00 ( ~sP12(U_229, U_231, U_228, U_230) | U_230 = sK15(U_231, U_230, U_229, U_228) ),
% 32.66/33.00 inference(clausify,[status(thm)],[f_35_30]) ).
% 32.66/33.00
% 32.66/33.00 cnf(f_35_42, plain,
% 32.66/33.00 ( ~sP13(U_229, U_231, U_228, U_230) | U_231 = sK17(U_231, U_230, U_229, U_228) ),
% 32.66/33.00 inference(clausify,[status(thm)],[f_35_30]) ).
% 32.66/33.00
% 32.66/33.00 cnf(f_35_43, plain,
% 32.66/33.00 ( ~sP13(U_229, U_231, U_228, U_230) | U_230 = sK18(U_231, U_230, U_229, U_228) ),
% 32.66/33.00 inference(clausify,[status(thm)],[f_35_30]) ).
% 32.66/33.00
% 32.66/33.00 cnf(f_35_44, plain,
% 32.66/33.00 ( ~sP13(U_229, U_231, U_228, U_230) | U_229 = vapp(sK16(U_231, U_230, U_229, U_228), sK19(U_231, U_230, U_229, U_228)) ),
% 32.66/33.00 inference(clausify,[status(thm)],[f_35_30]) ).
% 32.66/33.00
% 32.66/33.00 cnf(f_35_45, plain,
% 32.66/33.00 ( ~sP13(U_229, U_231, U_228, U_230) | U_228 = vapp(vsubst(sK17(U_231, U_230, U_229, U_228), sK18(U_231, U_230, U_229, U_228), sK16(U_231, U_230, U_229, U_228)), vsubst(sK17(U_231, U_230, U_229, U_228), sK18(U_231, U_230, U_229, U_228), sK19(U_231, U_230, U_229, U_228))) ),
% 32.66/33.00 inference(clausify,[status(thm)],[f_35_30]) ).
% 32.66/33.00
% 32.66/33.00 cnf(f_35_46, plain,
% 32.66/33.00 ( ~sP14(U_229, U_231, U_228, U_230) | U_231 = sK20(U_231, U_230, U_229, U_228) ),
% 32.66/33.00 inference(clausify,[status(thm)],[f_35_30]) ).
% 32.66/33.00
% 32.66/33.00 cnf(f_35_47, plain,
% 32.66/33.00 ( ~sP14(U_229, U_231, U_228, U_230) | sK20(U_231, U_230, U_229, U_228) = sK21(U_231, U_230, U_229, U_228) ),
% 32.66/33.00 inference(clausify,[status(thm)],[f_35_30]) ).
% 32.66/33.00
% 32.66/33.00 cnf(f_35_48, plain,
% 32.66/33.00 ( ~sP14(U_229, U_231, U_228, U_230) | U_229 = vabs(sK21(U_231, U_230, U_229, U_228), sK22(U_231, U_230, U_229, U_228), sK23(U_231, U_230, U_229, U_228)) ),
% 32.66/33.00 inference(clausify,[status(thm)],[f_35_30]) ).
% 32.66/33.00
% 32.66/33.00 cnf(f_35_49, plain,
% 32.66/33.00 ( ~sP14(U_229, U_231, U_228, U_230) | U_228 = vabs(sK21(U_231, U_230, U_229, U_228), sK22(U_231, U_230, U_229, U_228), sK23(U_231, U_230, U_229, U_228)) ),
% 32.66/33.00 inference(clausify,[status(thm)],[f_35_30]) ).
% 32.66/33.00
% 32.66/33.00 cnf(f_35_50, plain,
% 32.66/33.00 ( ~sP14(U_229, U_231, U_228, U_230) | U_230 = sK24(U_231, U_230, U_229, U_228) ),
% 32.66/33.00 inference(clausify,[status(thm)],[f_35_30]) ).
% 32.66/33.00
% 32.66/33.00 cnf(f_35_51, plain,
% 32.66/33.00 ( ~sP15(U_229, U_231, U_228, U_230) | U_231 = sK25(U_231, U_230, U_229, U_228) ),
% 32.66/33.00 inference(clausify,[status(thm)],[f_35_30]) ).
% 32.66/33.00
% 32.66/33.00 cnf(f_35_52, plain,
% 32.66/33.00 ( ~sP15(U_229, U_231, U_228, U_230) | U_230 = sK26(U_231, U_230, U_229, U_228) ),
% 32.66/33.00 inference(clausify,[status(thm)],[f_35_30]) ).
% 32.66/33.00
% 32.66/33.00 cnf(f_35_53, plain,
% 32.66/33.00 ( ~sP15(U_229, U_231, U_228, U_230) | sK25(U_231, U_230, U_229, U_228) != sK28(U_231, U_230, U_229, U_228) ),
% 32.66/33.00 inference(clausify,[status(thm)],[f_35_30]) ).
% 32.66/33.00
% 32.66/33.00 cnf(f_35_54, plain,
% 32.66/33.00 ( ~sP15(U_229, U_231, U_228, U_230) | visFreeVar(sK28(U_231, U_230, U_229, U_228), sK26(U_231, U_230, U_229, U_228)) ),
% 32.66/33.00 inference(clausify,[status(thm)],[f_35_30]) ).
% 32.66/33.00
% 32.66/33.00 cnf(f_35_55, plain,
% 32.66/33.00 ( ~sP15(U_229, U_231, U_228, U_230) | U_229 = vabs(sK28(U_231, U_230, U_229, U_228), sK27(U_231, U_230, U_229, U_228), sK30(U_231, U_230, U_229, U_228)) ),
% 32.66/33.00 inference(clausify,[status(thm)],[f_35_30]) ).
% 32.66/33.00
% 32.66/33.00 cnf(f_35_56, plain,
% 32.66/33.00 ( ~sP15(U_229, U_231, U_228, U_230) | sK29(U_231, U_230, U_229, U_228) = vgensym(vapp(vapp(sK26(U_231, U_230, U_229, U_228), sK30(U_231, U_230, U_229, U_228)), vvar(sK25(U_231, U_230, U_229, U_228)))) ),
% 32.66/33.00 inference(clausify,[status(thm)],[f_35_30]) ).
% 32.66/33.00
% 32.66/33.00 cnf(f_35_57, plain,
% 32.66/33.00 ( ~sP15(U_229, U_231, U_228, U_230) | U_228 = vsubst(sK25(U_231, U_230, U_229, U_228), sK26(U_231, U_230, U_229, U_228), vabs(sK29(U_231, U_230, U_229, U_228), sK27(U_231, U_230, U_229, U_228), vsubst(sK28(U_231, U_230, U_229, U_228), vvar(sK29(U_231, U_230, U_229, U_228)), sK30(U_231, U_230, U_229, U_228)))) ),
% 32.66/33.00 inference(clausify,[status(thm)],[f_35_30]) ).
% 32.66/33.00
% 32.66/33.00 cnf(f_35_58, plain,
% 32.66/33.00 ( ~sP16(U_229, U_231, U_228, U_230) | U_231 = sK33(U_231, U_230, U_229, U_228) ),
% 32.66/33.00 inference(clausify,[status(thm)],[f_35_30]) ).
% 32.66/33.00
% 32.66/33.00 cnf(f_35_59, plain,
% 32.66/33.00 ( ~sP16(U_229, U_231, U_228, U_230) | sK33(U_231, U_230, U_229, U_228) != sK31(U_231, U_230, U_229, U_228) ),
% 32.66/33.00 inference(clausify,[status(thm)],[f_35_30]) ).
% 32.66/33.00
% 32.66/33.00 cnf(f_35_60, plain,
% 32.66/33.00 ( ~sP16(U_229, U_231, U_228, U_230) | U_230 = sK34(U_231, U_230, U_229, U_228) ),
% 32.66/33.00 inference(clausify,[status(thm)],[f_35_30]) ).
% 32.66/33.00
% 32.66/33.00 cnf(f_35_61, plain,
% 32.66/33.00 ( ~sP16(U_229, U_231, U_228, U_230) | ~visFreeVar(sK31(U_231, U_230, U_229, U_228), sK34(U_231, U_230, U_229, U_228)) ),
% 32.66/33.00 inference(clausify,[status(thm)],[f_35_30]) ).
% 32.66/33.00
% 32.66/33.00 cnf(f_35_62, plain,
% 32.66/33.00 ( ~sP16(U_229, U_231, U_228, U_230) | U_229 = vabs(sK31(U_231, U_230, U_229, U_228), sK32(U_231, U_230, U_229, U_228), sK35(U_231, U_230, U_229, U_228)) ),
% 32.66/33.00 inference(clausify,[status(thm)],[f_35_30]) ).
% 32.66/33.00
% 32.66/33.00 cnf(f_35_63, plain,
% 32.66/33.00 ( ~sP16(U_229, U_231, U_228, U_230) | U_228 = vabs(sK31(U_231, U_230, U_229, U_228), sK32(U_231, U_230, U_229, U_228), vsubst(sK33(U_231, U_230, U_229, U_228), sK34(U_231, U_230, U_229, U_228), sK35(U_231, U_230, U_229, U_228))) ),
% 32.66/33.00 inference(clausify,[status(thm)],[f_35_30]) ).
% 32.66/33.00
% 32.66/33.00 fof(f_36_1, plain,
% 32.66/33.00 ( ( ~( vnoExp = vnoExp ) | $true ) & ( ~( $true ) | vnoExp = vnoExp ) ),
% 32.66/33.00 inference(fof_nnf,[status(thm)],[EQ-noExp]) ).
% 32.66/33.00
% 32.66/33.00 fof(f_36_2, plain,
% 32.66/33.00 ( ( ( vnoExp != vnoExp | $true ) ) & ( ( ~$true | vnoExp = vnoExp ) ) ),
% 32.66/33.00 inference(definitional_conversion,[status(esa)],[f_36_1]) ).
% 32.66/33.00
% 32.66/33.00 cnf(f_36_3, plain,
% 32.66/33.00 ( vnoExp != vnoExp | $true ),
% 32.66/33.00 inference(clausify,[status(thm)],[f_36_2]) ).
% 32.66/33.00
% 32.66/33.00 cnf(f_36_4, plain,
% 32.66/33.00 ( ~$true | vnoExp = vnoExp ),
% 32.66/33.00 inference(clausify,[status(thm)],[f_36_2]) ).
% 32.66/33.00
% 32.66/33.00 fof(f_37_1, plain,
% 32.66/33.00 ! [ VExp0,VExp1 ] : ( ( ~( vsomeExp(VExp0) = vsomeExp(VExp1) ) | VExp0 = VExp1 ) & ( ~( VExp0 = VExp1 ) | vsomeExp(VExp0) = vsomeExp(VExp1) ) ),
% 32.66/33.00 inference(fof_nnf,[status(thm)],[EQ-someExp]) ).
% 32.66/33.00
% 32.66/33.00 fof(f_37_2, plain,
% 32.66/33.00 ! [ U_233,U_232 ] : ( ( ~( vsomeExp(U_233) = vsomeExp(U_232) ) | U_233 = U_232 ) & ( ~( U_233 = U_232 ) | vsomeExp(U_233) = vsomeExp(U_232) ) ),
% 32.66/33.00 inference(variable_rename,[status(thm)],[f_37_1]) ).
% 32.66/33.00
% 32.66/33.00 fof(f_37_3, plain,
% 32.66/33.00 ( ! [ U_236,U_234 ] : ( ~( vsomeExp(U_236) = vsomeExp(U_234) ) | U_236 = U_234 ) & ! [ U_237,U_235 ] : ( ~( U_237 = U_235 ) | vsomeExp(U_237) = vsomeExp(U_235) ) ),
% 32.66/33.00 inference(miniscope,[status(thm)],[f_37_2]) ).
% 32.66/33.00
% 32.66/33.00 fof(f_37_4, plain,
% 32.66/33.00 ( ( ! [U_234, U_236] : ( vsomeExp(U_236) != vsomeExp(U_234) | U_236 = U_234 ) ) & ( ! [U_237, U_235] : ( U_237 != U_235 | vsomeExp(U_237) = vsomeExp(U_235) ) ) ),
% 32.66/33.00 inference(definitional_conversion,[status(esa)],[f_37_3]) ).
% 32.66/33.00
% 32.66/33.00 cnf(f_37_5, plain,
% 32.66/33.00 ( vsomeExp(U_236) != vsomeExp(U_234) | U_236 = U_234 ),
% 32.66/33.00 inference(clausify,[status(thm)],[f_37_4]) ).
% 32.66/33.00
% 32.66/33.00 cnf(f_37_6, plain,
% 32.66/33.00 ( U_237 != U_235 | vsomeExp(U_237) = vsomeExp(U_235) ),
% 32.66/33.00 inference(clausify,[status(thm)],[f_37_4]) ).
% 32.66/33.00
% 32.66/33.00 fof(f_38_1, plain,
% 32.66/33.00 ! [ VExp0 ] : ~( vnoExp = vsomeExp(VExp0) ),
% 32.66/33.00 inference(fof_nnf,[status(thm)],[DIFF-noExp-someExp]) ).
% 32.66/33.00
% 32.66/33.00 fof(f_38_2, plain,
% 32.66/33.00 ! [ U_238 ] : ~( vnoExp = vsomeExp(U_238) ),
% 32.66/33.00 inference(variable_rename,[status(thm)],[f_38_1]) ).
% 32.66/33.00
% 32.66/33.00 fof(f_38_3, plain,
% 32.66/33.00 ( ( ! [U_238] : ( vnoExp != vsomeExp(U_238) ) ) ),
% 32.66/33.00 inference(definitional_conversion,[status(esa)],[f_38_2]) ).
% 32.66/33.00
% 32.66/33.00 cnf(f_38_4, plain,
% 32.66/33.00 ( vnoExp != vsomeExp(U_238) ),
% 32.66/33.00 inference(clausify,[status(thm)],[f_38_3]) ).
% 32.66/33.00
% 32.66/33.00 fof(f_39_1, plain,
% 32.66/33.00 ! [ VOptExp0 ] : ( ~( VOptExp0 = vnoExp ) | ~( visSomeExp(VOptExp0) ) ),
% 32.66/33.00 inference(fof_nnf,[status(thm)],[isSomeExp0]) ).
% 32.66/33.00
% 32.66/33.00 fof(f_39_2, plain,
% 32.66/33.00 ! [ U_239 ] : ( ~( U_239 = vnoExp ) | ~( visSomeExp(U_239) ) ),
% 32.66/33.00 inference(variable_rename,[status(thm)],[f_39_1]) ).
% 32.66/33.00
% 32.66/33.00 fof(f_39_3, plain,
% 32.66/33.00 ( ( ! [U_239] : ( U_239 != vnoExp | ~visSomeExp(U_239) ) ) ),
% 32.66/33.00 inference(definitional_conversion,[status(esa)],[f_39_2]) ).
% 32.66/33.00
% 32.66/33.00 cnf(f_39_4, plain,
% 32.66/33.00 ( U_239 != vnoExp | ~visSomeExp(U_239) ),
% 32.66/33.00 inference(clausify,[status(thm)],[f_39_3]) ).
% 32.66/33.00
% 32.66/33.00 fof(f_40_1, plain,
% 32.66/33.00 ! [ Ve,VOptExp0 ] : ( ~( VOptExp0 = vsomeExp(Ve) ) | visSomeExp(VOptExp0) ),
% 32.66/33.00 inference(fof_nnf,[status(thm)],[isSomeExp1]) ).
% 32.66/33.00
% 32.66/33.00 fof(f_40_2, plain,
% 32.66/33.00 ! [ U_241,U_240 ] : ( ~( U_240 = vsomeExp(U_241) ) | visSomeExp(U_240) ),
% 32.66/33.00 inference(variable_rename,[status(thm)],[f_40_1]) ).
% 32.66/33.00
% 32.66/33.00 fof(f_40_3, plain,
% 32.66/33.00 ( ( ! [U_240, U_241] : ( U_240 != vsomeExp(U_241) | visSomeExp(U_240) ) ) ),
% 32.66/33.00 inference(definitional_conversion,[status(esa)],[f_40_2]) ).
% 32.66/33.00
% 32.66/33.00 cnf(f_40_4, plain,
% 32.66/33.00 ( U_240 != vsomeExp(U_241) | visSomeExp(U_240) ),
% 32.66/33.00 inference(clausify,[status(thm)],[f_40_3]) ).
% 32.66/33.00
% 32.66/33.00 fof(f_41_1, plain,
% 32.66/33.00 ! [ VOptExp0,RESULT,Ve ] : ( ~( VOptExp0 = vsomeExp(Ve) ) | ( ~( RESULT = vgetSomeExp(VOptExp0) ) | RESULT = Ve ) ),
% 32.66/33.00 inference(fof_nnf,[status(thm)],[getSomeExp0]) ).
% 32.66/33.00
% 32.66/33.00 fof(f_41_2, plain,
% 32.66/33.00 ! [ U_244,U_243,U_242 ] : ( ~( U_244 = vsomeExp(U_242) ) | ( ~( U_243 = vgetSomeExp(U_244) ) | U_243 = U_242 ) ),
% 32.66/33.00 inference(variable_rename,[status(thm)],[f_41_1]) ).
% 32.66/33.00
% 32.66/33.00 fof(f_41_3, plain,
% 32.66/33.00 ( ( ! [U_243, U_244, U_242] : ( U_244 != vsomeExp(U_242) | U_243 != vgetSomeExp(U_244) | U_243 = U_242 ) ) ),
% 32.66/33.00 inference(definitional_conversion,[status(esa)],[f_41_2]) ).
% 32.66/33.00
% 32.66/33.00 cnf(f_41_4, plain,
% 32.66/33.00 ( U_244 != vsomeExp(U_242) | U_243 != vgetSomeExp(U_244) | U_243 = U_242 ),
% 32.66/33.00 inference(clausify,[status(thm)],[f_41_3]) ).
% 32.66/33.00
% 32.66/33.00 fof(f_42_1, plain,
% 32.66/33.00 ! [ Vx,VExp0,RESULT ] : ( ~( VExp0 = vvar(Vx) ) | ( ~( RESULT = vreduce(VExp0) ) | RESULT = vnoExp ) ),
% 32.66/33.00 inference(fof_nnf,[status(thm)],[reduce0]) ).
% 32.66/33.00
% 32.66/33.00 fof(f_42_2, plain,
% 32.66/33.00 ! [ U_247,U_246,U_245 ] : ( ~( U_246 = vvar(U_247) ) | ( ~( U_245 = vreduce(U_246) ) | U_245 = vnoExp ) ),
% 32.66/33.00 inference(variable_rename,[status(thm)],[f_42_1]) ).
% 32.66/33.00
% 32.66/33.00 fof(f_42_3, plain,
% 32.66/33.00 ! [ U_247,U_246 ] : ( ~( U_246 = vvar(U_247) ) | ! [ U_245 ] : ( ~( U_245 = vreduce(U_246) ) | U_245 = vnoExp ) ),
% 32.66/33.00 inference(miniscope,[status(thm)],[f_42_2]) ).
% 32.66/33.00
% 32.66/33.00 fof(f_42_4, plain,
% 32.66/33.00 ( ( ! [U_247, U_246, U_245] : ( U_246 != vvar(U_247) | U_245 != vreduce(U_246) | U_245 = vnoExp ) ) ),
% 32.66/33.00 inference(definitional_conversion,[status(esa)],[f_42_3]) ).
% 32.66/33.00
% 32.66/33.00 cnf(f_42_5, plain,
% 32.66/33.00 ( U_246 != vvar(U_247) | U_245 != vreduce(U_246) | U_245 = vnoExp ),
% 32.66/33.00 inference(clausify,[status(thm)],[f_42_4]) ).
% 32.66/33.00
% 32.66/33.00 fof(f_43_1, plain,
% 32.66/33.00 ! [ Vx,VS,Ve,VExp0,RESULT ] : ( ~( VExp0 = vabs(Vx, VS, Ve) ) | ( ~( RESULT = vreduce(VExp0) ) | RESULT = vnoExp ) ),
% 32.66/33.00 inference(fof_nnf,[status(thm)],[reduce1]) ).
% 32.66/33.00
% 32.66/33.00 fof(f_43_2, plain,
% 32.66/33.00 ! [ U_252,U_251,U_250,U_249,U_248 ] : ( ~( U_249 = vabs(U_252, U_251, U_250) ) | ( ~( U_248 = vreduce(U_249) ) | U_248 = vnoExp ) ),
% 32.66/33.00 inference(variable_rename,[status(thm)],[f_43_1]) ).
% 32.66/33.00
% 32.66/33.00 fof(f_43_3, plain,
% 32.66/33.00 ! [ U_252,U_251,U_250,U_249 ] : ( ~( U_249 = vabs(U_252, U_251, U_250) ) | ! [ U_248 ] : ( ~( U_248 = vreduce(U_249) ) | U_248 = vnoExp ) ),
% 32.66/33.00 inference(miniscope,[status(thm)],[f_43_2]) ).
% 32.66/33.00
% 32.66/33.00 fof(f_43_4, plain,
% 32.66/33.00 ( ( ! [U_251, U_250, U_252, U_248, U_249] : ( U_249 != vabs(U_252, U_251, U_250) | U_248 != vreduce(U_249) | U_248 = vnoExp ) ) ),
% 32.66/33.00 inference(definitional_conversion,[status(esa)],[f_43_3]) ).
% 32.66/33.00
% 32.66/33.00 cnf(f_43_5, plain,
% 32.66/33.00 ( U_249 != vabs(U_252, U_251, U_250) | U_248 != vreduce(U_249) | U_248 = vnoExp ),
% 32.66/33.00 inference(clausify,[status(thm)],[f_43_4]) ).
% 32.66/33.00
% 32.66/33.00 fof(f_44_1, plain,
% 32.66/33.00 ! [ Ve2,VExp0,RESULT,Vx,VS,Ve1,Ve2red ] : ( ~( VExp0 = vapp(vabs(Vx, VS, Ve1), Ve2) ) | ( ( ~( Ve2red = vreduce(Ve2) ) | ~( visSomeExp(Ve2red) ) ) | ( ~( RESULT = vreduce(VExp0) ) | RESULT = vsomeExp(vapp(vabs(Vx, VS, Ve1), vgetSomeExp(Ve2red))) ) ) ),
% 32.66/33.00 inference(fof_nnf,[status(thm)],[reduce2]) ).
% 32.66/33.00
% 32.66/33.00 fof(f_44_2, plain,
% 32.66/33.00 ! [ U_259,U_258,U_257,U_256,U_255,U_254,U_253 ] : ( ~( U_258 = vapp(vabs(U_256, U_255, U_254), U_259) ) | ( ( ~( U_253 = vreduce(U_259) ) | ~( visSomeExp(U_253) ) ) | ( ~( U_257 = vreduce(U_258) ) | U_257 = vsomeExp(vapp(vabs(U_256, U_255, U_254), vgetSomeExp(U_253))) ) ) ),
% 32.66/33.00 inference(variable_rename,[status(thm)],[f_44_1]) ).
% 32.66/33.00
% 32.66/33.00 fof(f_44_3, plain,
% 32.66/33.00 ! [ U_259,U_258,U_257,U_256,U_255,U_254 ] : ( ~( U_258 = vapp(vabs(U_256, U_255, U_254), U_259) ) | ! [ U_253 ] : ( ( ~( U_253 = vreduce(U_259) ) | ~( visSomeExp(U_253) ) ) | ( ~( U_257 = vreduce(U_258) ) | U_257 = vsomeExp(vapp(vabs(U_256, U_255, U_254), vgetSomeExp(U_253))) ) ) ),
% 32.66/33.00 inference(miniscope,[status(thm)],[f_44_2]) ).
% 32.66/33.00
% 32.66/33.00 fof(f_44_4, plain,
% 32.66/33.00 ( ( ! [U_255, U_254, U_258, U_257, U_253, U_256, U_259] : ( U_258 != vapp(vabs(U_256, U_255, U_254), U_259) | U_253 != vreduce(U_259) | ~visSomeExp(U_253) | U_257 != vreduce(U_258) | U_257 = vsomeExp(vapp(vabs(U_256, U_255, U_254), vgetSomeExp(U_253))) ) ) ),
% 32.66/33.00 inference(definitional_conversion,[status(esa)],[f_44_3]) ).
% 32.66/33.00
% 32.66/33.00 cnf(f_44_5, plain,
% 32.66/33.00 ( U_258 != vapp(vabs(U_256, U_255, U_254), U_259) | U_253 != vreduce(U_259) | ~visSomeExp(U_253) | U_257 != vreduce(U_258) | U_257 = vsomeExp(vapp(vabs(U_256, U_255, U_254), vgetSomeExp(U_253))) ),
% 32.66/33.00 inference(clausify,[status(thm)],[f_44_4]) ).
% 32.66/33.00
% 32.66/33.00 fof(f_45_1, plain,
% 32.66/33.00 ! [ VS,Ve2red,VExp0,RESULT,Vx,Ve2,Ve1 ] : ( ~( VExp0 = vapp(vabs(Vx, VS, Ve1), Ve2) ) | ( ( ~( Ve2red = vreduce(Ve2) ) | visSomeExp(Ve2red) | ~( visValue(Ve2) ) ) | ( ~( RESULT = vreduce(VExp0) ) | RESULT = vsomeExp(vsubst(Vx, Ve2, Ve1)) ) ) ),
% 32.66/33.00 inference(fof_nnf,[status(thm)],[reduce3]) ).
% 32.66/33.00
% 32.66/33.00 fof(f_45_2, plain,
% 32.66/33.00 ! [ U_266,U_265,U_264,U_263,U_262,U_261,U_260 ] : ( ~( U_264 = vapp(vabs(U_262, U_266, U_260), U_261) ) | ( ( ~( U_265 = vreduce(U_261) ) | visSomeExp(U_265) | ~( visValue(U_261) ) ) | ( ~( U_263 = vreduce(U_264) ) | U_263 = vsomeExp(vsubst(U_262, U_261, U_260)) ) ) ),
% 32.66/33.00 inference(variable_rename,[status(thm)],[f_45_1]) ).
% 32.66/33.00
% 32.66/33.00 fof(f_45_3, plain,
% 32.66/33.00 ( ( ! [U_261, U_262, U_264, U_265, U_263, U_266, U_260] : ( U_264 != vapp(vabs(U_262, U_266, U_260), U_261) | U_265 != vreduce(U_261) | visSomeExp(U_265) | ~visValue(U_261) | U_263 != vreduce(U_264) | U_263 = vsomeExp(vsubst(U_262, U_261, U_260)) ) ) ),
% 32.66/33.00 inference(definitional_conversion,[status(esa)],[f_45_2]) ).
% 32.66/33.00
% 32.66/33.00 cnf(f_45_4, plain,
% 32.66/33.00 ( U_264 != vapp(vabs(U_262, U_266, U_260), U_261) | U_265 != vreduce(U_261) | visSomeExp(U_265) | ~visValue(U_261) | U_263 != vreduce(U_264) | U_263 = vsomeExp(vsubst(U_262, U_261, U_260)) ),
% 32.66/33.00 inference(clausify,[status(thm)],[f_45_3]) ).
% 32.66/33.00
% 32.66/33.00 fof(f_46_1, plain,
% 32.66/33.00 ! [ Vx,VS,Ve1,Ve2red,Ve2,VExp0,RESULT ] : ( ~( VExp0 = vapp(vabs(Vx, VS, Ve1), Ve2) ) | ( ( ~( Ve2red = vreduce(Ve2) ) | visSomeExp(Ve2red) | visValue(Ve2) ) | ( ~( RESULT = vreduce(VExp0) ) | RESULT = vnoExp ) ) ),
% 32.66/33.00 inference(fof_nnf,[status(thm)],[reduce4]) ).
% 32.66/33.00
% 32.66/33.00 fof(f_46_2, plain,
% 32.66/33.00 ! [ U_273,U_272,U_271,U_270,U_269,U_268,U_267 ] : ( ~( U_268 = vapp(vabs(U_273, U_272, U_271), U_269) ) | ( ( ~( U_270 = vreduce(U_269) ) | visSomeExp(U_270) | visValue(U_269) ) | ( ~( U_267 = vreduce(U_268) ) | U_267 = vnoExp ) ) ),
% 32.66/33.00 inference(variable_rename,[status(thm)],[f_46_1]) ).
% 32.66/33.00
% 32.66/33.00 fof(f_46_3, plain,
% 32.66/33.00 ! [ U_273,U_272,U_271,U_270,U_269,U_268 ] : ( ~( U_268 = vapp(vabs(U_273, U_272, U_271), U_269) ) | ( ( ~( U_270 = vreduce(U_269) ) | visSomeExp(U_270) | visValue(U_269) ) | ! [ U_267 ] : ( ~( U_267 = vreduce(U_268) ) | U_267 = vnoExp ) ) ),
% 32.66/33.00 inference(miniscope,[status(thm)],[f_46_2]) ).
% 32.66/33.00
% 32.66/33.00 fof(f_46_4, plain,
% 32.66/33.00 ( ( ! [U_272, U_269, U_273, U_271, U_268, U_267, U_270] : ( U_268 != vapp(vabs(U_273, U_272, U_271), U_269) | U_270 != vreduce(U_269) | visSomeExp(U_270) | visValue(U_269) | U_267 != vreduce(U_268) | U_267 = vnoExp ) ) ),
% 32.66/33.00 inference(definitional_conversion,[status(esa)],[f_46_3]) ).
% 32.66/33.00
% 32.66/33.00 cnf(f_46_5, plain,
% 32.66/33.00 ( U_268 != vapp(vabs(U_273, U_272, U_271), U_269) | U_270 != vreduce(U_269) | visSomeExp(U_270) | visValue(U_269) | U_267 != vreduce(U_268) | U_267 = vnoExp ),
% 32.66/33.00 inference(clausify,[status(thm)],[f_46_4]) ).
% 32.66/33.00
% 32.66/33.00 fof(f_47_1, plain,
% 32.66/33.00 ! [ Ve1,VExp0,RESULT,Ve1red,Ve2 ] : ( ( ~( VExp0 = vapp(Ve1, Ve2) ) | ? [ VVx0,VVS0,VVe10 ] : Ve1 = vabs(VVx0, VVS0, VVe10) ) | ( ( ~( Ve1red = vreduce(Ve1) ) | ~( visSomeExp(Ve1red) ) ) | ( ~( RESULT = vreduce(VExp0) ) | RESULT = vsomeExp(vapp(vgetSomeExp(Ve1red), Ve2)) ) ) ),
% 32.66/33.00 inference(fof_nnf,[status(thm)],[reduce5]) ).
% 32.66/33.00
% 32.66/33.00 fof(f_47_2, plain,
% 32.66/33.00 ! [ U_281,U_280,U_279,U_278,U_277 ] : ( ( ~( U_280 = vapp(U_281, U_277) ) | ? [ U_276,U_275,U_274 ] : U_281 = vabs(U_276, U_275, U_274) ) | ( ( ~( U_278 = vreduce(U_281) ) | ~( visSomeExp(U_278) ) ) | ( ~( U_279 = vreduce(U_280) ) | U_279 = vsomeExp(vapp(vgetSomeExp(U_278), U_277)) ) ) ),
% 32.66/33.00 inference(variable_rename,[status(thm)],[f_47_1]) ).
% 32.66/33.00
% 32.66/33.00 fof(f_47_3, plain,
% 32.66/33.00 ! [ U_281,U_280,U_279,U_278,U_277 ] : ( ( ~( U_280 = vapp(U_281, U_277) ) | ? [ U_275,U_274 ] : U_281 = vabs(sK36(U_281, U_280, U_279, U_278, U_277), U_275, U_274) ) | ( ( ~( U_278 = vreduce(U_281) ) | ~( visSomeExp(U_278) ) ) | ( ~( U_279 = vreduce(U_280) ) | U_279 = vsomeExp(vapp(vgetSomeExp(U_278), U_277)) ) ) ),
% 32.66/33.00 inference(skolemize,[status(esa),new_symbols(skolem,[sK36]),skolemize(U_276,sK36(U_281, U_280, U_279, U_278, U_277))],[f_47_2]) ).
% 32.66/33.00
% 32.66/33.00 fof(f_47_4, plain,
% 32.66/33.00 ! [ U_281,U_280,U_279,U_278,U_277 ] : ( ( ~( U_280 = vapp(U_281, U_277) ) | ? [ U_274 ] : U_281 = vabs(sK36(U_281, U_280, U_279, U_278, U_277), sK37(U_281, U_280, U_279, U_278, U_277), U_274) ) | ( ( ~( U_278 = vreduce(U_281) ) | ~( visSomeExp(U_278) ) ) | ( ~( U_279 = vreduce(U_280) ) | U_279 = vsomeExp(vapp(vgetSomeExp(U_278), U_277)) ) ) ),
% 32.66/33.00 inference(skolemize,[status(esa),new_symbols(skolem,[sK37]),skolemize(U_275,sK37(U_281, U_280, U_279, U_278, U_277))],[f_47_3]) ).
% 32.66/33.00
% 32.66/33.00 fof(f_47_5, plain,
% 32.66/33.00 ! [ U_281,U_280,U_279,U_278,U_277 ] : ( ( ~( U_280 = vapp(U_281, U_277) ) | U_281 = vabs(sK36(U_281, U_280, U_279, U_278, U_277), sK37(U_281, U_280, U_279, U_278, U_277), sK38(U_281, U_280, U_279, U_278, U_277)) ) | ( ( ~( U_278 = vreduce(U_281) ) | ~( visSomeExp(U_278) ) ) | ( ~( U_279 = vreduce(U_280) ) | U_279 = vsomeExp(vapp(vgetSomeExp(U_278), U_277)) ) ) ),
% 32.66/33.00 inference(skolemize,[status(esa),new_symbols(skolem,[sK38]),skolemize(U_274,sK38(U_281, U_280, U_279, U_278, U_277))],[f_47_4]) ).
% 32.66/33.00
% 32.66/33.00 fof(f_47_6, plain,
% 32.66/33.00 ( ( ! [U_278, U_279, U_281, U_277, U_280] : ( U_280 != vapp(U_281, U_277) | U_281 = vabs(sK36(U_281, U_280, U_279, U_278, U_277), sK37(U_281, U_280, U_279, U_278, U_277), sK38(U_281, U_280, U_279, U_278, U_277)) | U_278 != vreduce(U_281) | ~visSomeExp(U_278) | U_279 != vreduce(U_280) | U_279 = vsomeExp(vapp(vgetSomeExp(U_278), U_277)) ) ) ),
% 32.66/33.00 inference(definitional_conversion,[status(esa)],[f_47_5]) ).
% 32.66/33.00
% 32.66/33.00 cnf(f_47_7, plain,
% 32.66/33.00 ( U_280 != vapp(U_281, U_277) | U_281 = vabs(sK36(U_281, U_280, U_279, U_278, U_277), sK37(U_281, U_280, U_279, U_278, U_277), sK38(U_281, U_280, U_279, U_278, U_277)) | U_278 != vreduce(U_281) | ~visSomeExp(U_278) | U_279 != vreduce(U_280) | U_279 = vsomeExp(vapp(vgetSomeExp(U_278), U_277)) ),
% 32.66/33.00 inference(clausify,[status(thm)],[f_47_6]) ).
% 32.66/33.00
% 32.66/33.00 fof(f_48_1, plain,
% 32.66/33.00 ! [ Ve2,Ve1,Ve1red,VExp0,RESULT ] : ( ( ~( VExp0 = vapp(Ve1, Ve2) ) | ? [ VVx0,VVS0,VVe10 ] : Ve1 = vabs(VVx0, VVS0, VVe10) ) | ( ( ~( Ve1red = vreduce(Ve1) ) | visSomeExp(Ve1red) ) | ( ~( RESULT = vreduce(VExp0) ) | RESULT = vnoExp ) ) ),
% 32.66/33.00 inference(fof_nnf,[status(thm)],[reduce6]) ).
% 32.66/33.00
% 32.66/33.00 fof(f_48_2, plain,
% 32.66/33.00 ! [ U_289,U_288,U_287,U_286,U_285 ] : ( ( ~( U_286 = vapp(U_288, U_289) ) | ? [ U_284,U_283,U_282 ] : U_288 = vabs(U_284, U_283, U_282) ) | ( ( ~( U_287 = vreduce(U_288) ) | visSomeExp(U_287) ) | ( ~( U_285 = vreduce(U_286) ) | U_285 = vnoExp ) ) ),
% 32.66/33.00 inference(variable_rename,[status(thm)],[f_48_1]) ).
% 32.66/33.00
% 32.66/33.00 fof(f_48_3, plain,
% 32.66/33.00 ! [ U_289,U_288,U_287,U_286 ] : ( ( ~( U_286 = vapp(U_288, U_289) ) | ? [ U_284,U_283,U_282 ] : U_288 = vabs(U_284, U_283, U_282) ) | ( ( ~( U_287 = vreduce(U_288) ) | visSomeExp(U_287) ) | ! [ U_285 ] : ( ~( U_285 = vreduce(U_286) ) | U_285 = vnoExp ) ) ),
% 32.66/33.00 inference(miniscope,[status(thm)],[f_48_2]) ).
% 32.66/33.00
% 32.66/33.00 fof(f_48_4, plain,
% 32.66/33.00 ! [ U_289,U_288,U_287,U_286 ] : ( ( ~( U_286 = vapp(U_288, U_289) ) | ? [ U_283,U_282 ] : U_288 = vabs(sK39(U_289, U_288, U_287, U_286), U_283, U_282) ) | ( ( ~( U_287 = vreduce(U_288) ) | visSomeExp(U_287) ) | ! [ U_285 ] : ( ~( U_285 = vreduce(U_286) ) | U_285 = vnoExp ) ) ),
% 32.66/33.00 inference(skolemize,[status(esa),new_symbols(skolem,[sK39]),skolemize(U_284,sK39(U_289, U_288, U_287, U_286))],[f_48_3]) ).
% 32.66/33.00
% 32.66/33.00 fof(f_48_5, plain,
% 32.66/33.00 ! [ U_289,U_288,U_287,U_286 ] : ( ( ~( U_286 = vapp(U_288, U_289) ) | ? [ U_282 ] : U_288 = vabs(sK39(U_289, U_288, U_287, U_286), sK40(U_289, U_288, U_287, U_286), U_282) ) | ( ( ~( U_287 = vreduce(U_288) ) | visSomeExp(U_287) ) | ! [ U_285 ] : ( ~( U_285 = vreduce(U_286) ) | U_285 = vnoExp ) ) ),
% 32.66/33.00 inference(skolemize,[status(esa),new_symbols(skolem,[sK40]),skolemize(U_283,sK40(U_289, U_288, U_287, U_286))],[f_48_4]) ).
% 32.66/33.00
% 32.66/33.00 fof(f_48_6, plain,
% 32.66/33.00 ! [ U_289,U_288,U_287,U_286 ] : ( ( ~( U_286 = vapp(U_288, U_289) ) | U_288 = vabs(sK39(U_289, U_288, U_287, U_286), sK40(U_289, U_288, U_287, U_286), sK41(U_289, U_288, U_287, U_286)) ) | ( ( ~( U_287 = vreduce(U_288) ) | visSomeExp(U_287) ) | ! [ U_285 ] : ( ~( U_285 = vreduce(U_286) ) | U_285 = vnoExp ) ) ),
% 32.66/33.00 inference(skolemize,[status(esa),new_symbols(skolem,[sK41]),skolemize(U_282,sK41(U_289, U_288, U_287, U_286))],[f_48_5]) ).
% 32.66/33.00
% 32.66/33.00 fof(f_48_7, plain,
% 32.66/33.00 ( ( ! [U_286, U_287, U_289, U_285, U_288] : ( U_286 != vapp(U_288, U_289) | U_288 = vabs(sK39(U_289, U_288, U_287, U_286), sK40(U_289, U_288, U_287, U_286), sK41(U_289, U_288, U_287, U_286)) | U_287 != vreduce(U_288) | visSomeExp(U_287) | U_285 != vreduce(U_286) | U_285 = vnoExp ) ) ),
% 32.66/33.00 inference(definitional_conversion,[status(esa)],[f_48_6]) ).
% 32.66/33.00
% 32.66/33.00 cnf(f_48_8, plain,
% 32.66/33.00 ( U_286 != vapp(U_288, U_289) | U_288 = vabs(sK39(U_289, U_288, U_287, U_286), sK40(U_289, U_288, U_287, U_286), sK41(U_289, U_288, U_287, U_286)) | U_287 != vreduce(U_288) | visSomeExp(U_287) | U_285 != vreduce(U_286) | U_285 = vnoExp ),
% 32.66/33.00 inference(clausify,[status(thm)],[f_48_7]) ).
% 32.66/33.00
% 32.66/33.00 fof(f_49_1, plain,
% 32.66/33.00 ! [ VExp0,RESULT ] : ( ~( vreduce(VExp0) = RESULT ) | ( ? [ Vx ] : ( VExp0 = vvar(Vx) & RESULT = vnoExp ) | ? [ Vx,VS,Ve ] : ( VExp0 = vabs(Vx, VS, Ve) & RESULT = vnoExp ) | ? [ Ve2,Vx,VS,Ve1,Ve2red ] : ( VExp0 = vapp(vabs(Vx, VS, Ve1), Ve2) & Ve2red = vreduce(Ve2) & visSomeExp(Ve2red) & RESULT = vsomeExp(vapp(vabs(Vx, VS, Ve1), vgetSomeExp(Ve2red))) ) | ? [ VS,Ve2red,Vx,Ve2,Ve1 ] : ( VExp0 = vapp(vabs(Vx, VS, Ve1), Ve2) & Ve2red = vreduce(Ve2) & ~( visSomeExp(Ve2red) ) & visValue(Ve2) & RESULT = vsomeExp(vsubst(Vx, Ve2, Ve1)) ) | ? [ Vx,VS,Ve1,Ve2red,Ve2 ] : ( VExp0 = vapp(vabs(Vx, VS, Ve1), Ve2) & Ve2red = vreduce(Ve2) & ~( visSomeExp(Ve2red) ) & ~( visValue(Ve2) ) & RESULT = vnoExp ) | ? [ Ve1,Ve1red,Ve2 ] : ( VExp0 = vapp(Ve1, Ve2) & ! [ VVx0,VVS0,VVe10 ] : ~( Ve1 = vabs(VVx0, VVS0, VVe10) ) & Ve1red = vreduce(Ve1) & visSomeExp(Ve1red) & RESULT = vsomeExp(vapp(vgetSomeExp(Ve1red), Ve2)) ) | ? [ Ve2,Ve1,Ve1red ] : ( VExp0 = vapp(Ve1, Ve2) & ! [ VVx0,VVS0,VVe10 ] : ~( Ve1 = vabs(VVx0, VVS0, VVe10) ) & Ve1red = vreduce(Ve1) & ~( visSomeExp(Ve1red) ) & RESULT = vnoExp ) ) ),
% 32.66/33.00 inference(fof_nnf,[status(thm)],[reduce-INV]) ).
% 32.66/33.00
% 32.66/33.00 fof(f_49_2, plain,
% 32.66/33.00 ! [ U_322,U_321 ] : ( ~( vreduce(U_322) = U_321 ) | ( ? [ U_290 ] : ( U_322 = vvar(U_290) & U_321 = vnoExp ) | ? [ U_293,U_292,U_291 ] : ( U_322 = vabs(U_293, U_292, U_291) & U_321 = vnoExp ) | ? [ U_298,U_297,U_296,U_295,U_294 ] : ( U_322 = vapp(vabs(U_297, U_296, U_295), U_298) & U_294 = vreduce(U_298) & visSomeExp(U_294) & U_321 = vsomeExp(vapp(vabs(U_297, U_296, U_295), vgetSomeExp(U_294))) ) | ? [ U_303,U_302,U_301,U_300,U_299 ] : ( U_322 = vapp(vabs(U_301, U_303, U_299), U_300) & U_302 = vreduce(U_300) & ~( visSomeExp(U_302) ) & visValue(U_300) & U_321 = vsomeExp(vsubst(U_301, U_300, U_299)) ) | ? [ U_308,U_307,U_306,U_305,U_304 ] : ( U_322 = vapp(vabs(U_308, U_307, U_306), U_304) & U_305 = vreduce(U_304) & ~( visSomeExp(U_305) ) & ~( visValue(U_304) ) & U_321 = vnoExp ) | ? [ U_314,U_313,U_312 ] : ( U_322 = vapp(U_314, U_312) & ! [ U_311,U_310,U_309 ] : ~( U_314 = vabs(U_311, U_310, U_309) ) & U_313 = vreduce(U_314) & visSomeExp(U_313) & U_321 = vsomeExp(vapp(vgetSomeExp(U_313), U_312)) ) | ? [ U_320,U_319,U_318 ] : ( U_322 = vapp(U_319, U_320) & ! [ U_317,U_316,U_315 ] : ~( U_319 = vabs(U_317, U_316, U_315) ) & U_318 = vreduce(U_319) & ~( visSomeExp(U_318) ) & U_321 = vnoExp ) ) ),
% 32.66/33.00 inference(variable_rename,[status(thm)],[f_49_1]) ).
% 32.66/33.00
% 32.66/33.00 fof(f_49_3, plain,
% 32.66/33.00 ! [ U_322,U_321 ] : ( ~( vreduce(U_322) = U_321 ) | ( ( U_321 = vnoExp & ? [ U_290 ] : U_322 = vvar(U_290) ) | ( U_321 = vnoExp & ? [ U_293,U_292,U_291 ] : U_322 = vabs(U_293, U_292, U_291) ) | ? [ U_298,U_297,U_296,U_295 ] : ( U_322 = vapp(vabs(U_297, U_296, U_295), U_298) & ? [ U_294 ] : ( U_294 = vreduce(U_298) & visSomeExp(U_294) & U_321 = vsomeExp(vapp(vabs(U_297, U_296, U_295), vgetSomeExp(U_294))) ) ) | ? [ U_303,U_302 ] : ( ~( visSomeExp(U_302) ) & ? [ U_301,U_300 ] : ( U_302 = vreduce(U_300) & visValue(U_300) & ? [ U_299 ] : ( U_322 = vapp(vabs(U_301, U_303, U_299), U_300) & U_321 = vsomeExp(vsubst(U_301, U_300, U_299)) ) ) ) | ( U_321 = vnoExp & ? [ U_308,U_307,U_306,U_305 ] : ( ~( visSomeExp(U_305) ) & ? [ U_304 ] : ( U_322 = vapp(vabs(U_308, U_307, U_306), U_304) & U_305 = vreduce(U_304) & ~( visValue(U_304) ) ) ) ) | ? [ U_314 ] : ( ! [ U_311,U_310,U_309 ] : ~( U_314 = vabs(U_311, U_310, U_309) ) & ? [ U_313 ] : ( U_313 = vreduce(U_314) & visSomeExp(U_313) & ? [ U_312 ] : ( U_322 = vapp(U_314, U_312) & U_321 = vsomeExp(vapp(vgetSomeExp(U_313), U_312)) ) ) ) | ( U_321 = vnoExp & ? [ U_320,U_319 ] : ( U_322 = vapp(U_319, U_320) & ! [ U_317,U_316,U_315 ] : ~( U_319 = vabs(U_317, U_316, U_315) ) & ? [ U_318 ] : ( U_318 = vreduce(U_319) & ~( visSomeExp(U_318) ) ) ) ) ) ),
% 32.66/33.00 inference(miniscope,[status(thm)],[f_49_2]) ).
% 32.66/33.00
% 32.66/33.00 fof(f_49_4, plain,
% 32.66/33.00 ! [ U_322,U_321 ] : ( ~( vreduce(U_322) = U_321 ) | ( ( U_321 = vnoExp & U_322 = vvar(sK42(U_322, U_321)) ) | ( U_321 = vnoExp & ? [ U_293,U_292,U_291 ] : U_322 = vabs(U_293, U_292, U_291) ) | ? [ U_298,U_297,U_296,U_295 ] : ( U_322 = vapp(vabs(U_297, U_296, U_295), U_298) & ? [ U_294 ] : ( U_294 = vreduce(U_298) & visSomeExp(U_294) & U_321 = vsomeExp(vapp(vabs(U_297, U_296, U_295), vgetSomeExp(U_294))) ) ) | ? [ U_303,U_302 ] : ( ~( visSomeExp(U_302) ) & ? [ U_301,U_300 ] : ( U_302 = vreduce(U_300) & visValue(U_300) & ? [ U_299 ] : ( U_322 = vapp(vabs(U_301, U_303, U_299), U_300) & U_321 = vsomeExp(vsubst(U_301, U_300, U_299)) ) ) ) | ( U_321 = vnoExp & ? [ U_308,U_307,U_306,U_305 ] : ( ~( visSomeExp(U_305) ) & ? [ U_304 ] : ( U_322 = vapp(vabs(U_308, U_307, U_306), U_304) & U_305 = vreduce(U_304) & ~( visValue(U_304) ) ) ) ) | ? [ U_314 ] : ( ! [ U_311,U_310,U_309 ] : ~( U_314 = vabs(U_311, U_310, U_309) ) & ? [ U_313 ] : ( U_313 = vreduce(U_314) & visSomeExp(U_313) & ? [ U_312 ] : ( U_322 = vapp(U_314, U_312) & U_321 = vsomeExp(vapp(vgetSomeExp(U_313), U_312)) ) ) ) | ( U_321 = vnoExp & ? [ U_320,U_319 ] : ( U_322 = vapp(U_319, U_320) & ! [ U_317,U_316,U_315 ] : ~( U_319 = vabs(U_317, U_316, U_315) ) & ? [ U_318 ] : ( U_318 = vreduce(U_319) & ~( visSomeExp(U_318) ) ) ) ) ) ),
% 32.66/33.00 inference(skolemize,[status(esa),new_symbols(skolem,[sK42]),skolemize(U_290,sK42(U_322, U_321))],[f_49_3]) ).
% 32.66/33.00
% 32.66/33.00 fof(f_49_5, plain,
% 32.66/33.00 ! [ U_322,U_321 ] : ( ~( vreduce(U_322) = U_321 ) | ( ( U_321 = vnoExp & U_322 = vvar(sK42(U_322, U_321)) ) | ( U_321 = vnoExp & ? [ U_292,U_291 ] : U_322 = vabs(sK43(U_322, U_321), U_292, U_291) ) | ? [ U_298,U_297,U_296,U_295 ] : ( U_322 = vapp(vabs(U_297, U_296, U_295), U_298) & ? [ U_294 ] : ( U_294 = vreduce(U_298) & visSomeExp(U_294) & U_321 = vsomeExp(vapp(vabs(U_297, U_296, U_295), vgetSomeExp(U_294))) ) ) | ? [ U_303,U_302 ] : ( ~( visSomeExp(U_302) ) & ? [ U_301,U_300 ] : ( U_302 = vreduce(U_300) & visValue(U_300) & ? [ U_299 ] : ( U_322 = vapp(vabs(U_301, U_303, U_299), U_300) & U_321 = vsomeExp(vsubst(U_301, U_300, U_299)) ) ) ) | ( U_321 = vnoExp & ? [ U_308,U_307,U_306,U_305 ] : ( ~( visSomeExp(U_305) ) & ? [ U_304 ] : ( U_322 = vapp(vabs(U_308, U_307, U_306), U_304) & U_305 = vreduce(U_304) & ~( visValue(U_304) ) ) ) ) | ? [ U_314 ] : ( ! [ U_311,U_310,U_309 ] : ~( U_314 = vabs(U_311, U_310, U_309) ) & ? [ U_313 ] : ( U_313 = vreduce(U_314) & visSomeExp(U_313) & ? [ U_312 ] : ( U_322 = vapp(U_314, U_312) & U_321 = vsomeExp(vapp(vgetSomeExp(U_313), U_312)) ) ) ) | ( U_321 = vnoExp & ? [ U_320,U_319 ] : ( U_322 = vapp(U_319, U_320) & ! [ U_317,U_316,U_315 ] : ~( U_319 = vabs(U_317, U_316, U_315) ) & ? [ U_318 ] : ( U_318 = vreduce(U_319) & ~( visSomeExp(U_318) ) ) ) ) ) ),
% 32.66/33.00 inference(skolemize,[status(esa),new_symbols(skolem,[sK43]),skolemize(U_293,sK43(U_322, U_321))],[f_49_4]) ).
% 32.66/33.00
% 32.66/33.00 fof(f_49_6, plain,
% 32.66/33.00 ! [ U_322,U_321 ] : ( ~( vreduce(U_322) = U_321 ) | ( ( U_321 = vnoExp & U_322 = vvar(sK42(U_322, U_321)) ) | ( U_321 = vnoExp & ? [ U_291 ] : U_322 = vabs(sK43(U_322, U_321), sK44(U_322, U_321), U_291) ) | ? [ U_298,U_297,U_296,U_295 ] : ( U_322 = vapp(vabs(U_297, U_296, U_295), U_298) & ? [ U_294 ] : ( U_294 = vreduce(U_298) & visSomeExp(U_294) & U_321 = vsomeExp(vapp(vabs(U_297, U_296, U_295), vgetSomeExp(U_294))) ) ) | ? [ U_303,U_302 ] : ( ~( visSomeExp(U_302) ) & ? [ U_301,U_300 ] : ( U_302 = vreduce(U_300) & visValue(U_300) & ? [ U_299 ] : ( U_322 = vapp(vabs(U_301, U_303, U_299), U_300) & U_321 = vsomeExp(vsubst(U_301, U_300, U_299)) ) ) ) | ( U_321 = vnoExp & ? [ U_308,U_307,U_306,U_305 ] : ( ~( visSomeExp(U_305) ) & ? [ U_304 ] : ( U_322 = vapp(vabs(U_308, U_307, U_306), U_304) & U_305 = vreduce(U_304) & ~( visValue(U_304) ) ) ) ) | ? [ U_314 ] : ( ! [ U_311,U_310,U_309 ] : ~( U_314 = vabs(U_311, U_310, U_309) ) & ? [ U_313 ] : ( U_313 = vreduce(U_314) & visSomeExp(U_313) & ? [ U_312 ] : ( U_322 = vapp(U_314, U_312) & U_321 = vsomeExp(vapp(vgetSomeExp(U_313), U_312)) ) ) ) | ( U_321 = vnoExp & ? [ U_320,U_319 ] : ( U_322 = vapp(U_319, U_320) & ! [ U_317,U_316,U_315 ] : ~( U_319 = vabs(U_317, U_316, U_315) ) & ? [ U_318 ] : ( U_318 = vreduce(U_319) & ~( visSomeExp(U_318) ) ) ) ) ) ),
% 32.66/33.00 inference(skolemize,[status(esa),new_symbols(skolem,[sK44]),skolemize(U_292,sK44(U_322, U_321))],[f_49_5]) ).
% 32.66/33.00
% 32.66/33.00 fof(f_49_7, plain,
% 32.66/33.00 ! [ U_322,U_321 ] : ( ~( vreduce(U_322) = U_321 ) | ( ( U_321 = vnoExp & U_322 = vvar(sK42(U_322, U_321)) ) | ( U_321 = vnoExp & U_322 = vabs(sK43(U_322, U_321), sK44(U_322, U_321), sK45(U_322, U_321)) ) | ? [ U_298,U_297,U_296,U_295 ] : ( U_322 = vapp(vabs(U_297, U_296, U_295), U_298) & ? [ U_294 ] : ( U_294 = vreduce(U_298) & visSomeExp(U_294) & U_321 = vsomeExp(vapp(vabs(U_297, U_296, U_295), vgetSomeExp(U_294))) ) ) | ? [ U_303,U_302 ] : ( ~( visSomeExp(U_302) ) & ? [ U_301,U_300 ] : ( U_302 = vreduce(U_300) & visValue(U_300) & ? [ U_299 ] : ( U_322 = vapp(vabs(U_301, U_303, U_299), U_300) & U_321 = vsomeExp(vsubst(U_301, U_300, U_299)) ) ) ) | ( U_321 = vnoExp & ? [ U_308,U_307,U_306,U_305 ] : ( ~( visSomeExp(U_305) ) & ? [ U_304 ] : ( U_322 = vapp(vabs(U_308, U_307, U_306), U_304) & U_305 = vreduce(U_304) & ~( visValue(U_304) ) ) ) ) | ? [ U_314 ] : ( ! [ U_311,U_310,U_309 ] : ~( U_314 = vabs(U_311, U_310, U_309) ) & ? [ U_313 ] : ( U_313 = vreduce(U_314) & visSomeExp(U_313) & ? [ U_312 ] : ( U_322 = vapp(U_314, U_312) & U_321 = vsomeExp(vapp(vgetSomeExp(U_313), U_312)) ) ) ) | ( U_321 = vnoExp & ? [ U_320,U_319 ] : ( U_322 = vapp(U_319, U_320) & ! [ U_317,U_316,U_315 ] : ~( U_319 = vabs(U_317, U_316, U_315) ) & ? [ U_318 ] : ( U_318 = vreduce(U_319) & ~( visSomeExp(U_318) ) ) ) ) ) ),
% 32.66/33.00 inference(skolemize,[status(esa),new_symbols(skolem,[sK45]),skolemize(U_291,sK45(U_322, U_321))],[f_49_6]) ).
% 32.66/33.00
% 32.66/33.00 fof(f_49_8, plain,
% 32.66/33.00 ! [ U_322,U_321 ] : ( ~( vreduce(U_322) = U_321 ) | ( ( U_321 = vnoExp & U_322 = vvar(sK42(U_322, U_321)) ) | ( U_321 = vnoExp & U_322 = vabs(sK43(U_322, U_321), sK44(U_322, U_321), sK45(U_322, U_321)) ) | ? [ U_297,U_296,U_295 ] : ( U_322 = vapp(vabs(U_297, U_296, U_295), sK46(U_322, U_321)) & ? [ U_294 ] : ( U_294 = vreduce(sK46(U_322, U_321)) & visSomeExp(U_294) & U_321 = vsomeExp(vapp(vabs(U_297, U_296, U_295), vgetSomeExp(U_294))) ) ) | ? [ U_303,U_302 ] : ( ~( visSomeExp(U_302) ) & ? [ U_301,U_300 ] : ( U_302 = vreduce(U_300) & visValue(U_300) & ? [ U_299 ] : ( U_322 = vapp(vabs(U_301, U_303, U_299), U_300) & U_321 = vsomeExp(vsubst(U_301, U_300, U_299)) ) ) ) | ( U_321 = vnoExp & ? [ U_308,U_307,U_306,U_305 ] : ( ~( visSomeExp(U_305) ) & ? [ U_304 ] : ( U_322 = vapp(vabs(U_308, U_307, U_306), U_304) & U_305 = vreduce(U_304) & ~( visValue(U_304) ) ) ) ) | ? [ U_314 ] : ( ! [ U_311,U_310,U_309 ] : ~( U_314 = vabs(U_311, U_310, U_309) ) & ? [ U_313 ] : ( U_313 = vreduce(U_314) & visSomeExp(U_313) & ? [ U_312 ] : ( U_322 = vapp(U_314, U_312) & U_321 = vsomeExp(vapp(vgetSomeExp(U_313), U_312)) ) ) ) | ( U_321 = vnoExp & ? [ U_320,U_319 ] : ( U_322 = vapp(U_319, U_320) & ! [ U_317,U_316,U_315 ] : ~( U_319 = vabs(U_317, U_316, U_315) ) & ? [ U_318 ] : ( U_318 = vreduce(U_319) & ~( visSomeExp(U_318) ) ) ) ) ) ),
% 32.66/33.00 inference(skolemize,[status(esa),new_symbols(skolem,[sK46]),skolemize(U_298,sK46(U_322, U_321))],[f_49_7]) ).
% 32.66/33.00
% 32.66/33.00 fof(f_49_9, plain,
% 32.66/33.00 ! [ U_322,U_321 ] : ( ~( vreduce(U_322) = U_321 ) | ( ( U_321 = vnoExp & U_322 = vvar(sK42(U_322, U_321)) ) | ( U_321 = vnoExp & U_322 = vabs(sK43(U_322, U_321), sK44(U_322, U_321), sK45(U_322, U_321)) ) | ? [ U_296,U_295 ] : ( U_322 = vapp(vabs(sK47(U_322, U_321), U_296, U_295), sK46(U_322, U_321)) & ? [ U_294 ] : ( U_294 = vreduce(sK46(U_322, U_321)) & visSomeExp(U_294) & U_321 = vsomeExp(vapp(vabs(sK47(U_322, U_321), U_296, U_295), vgetSomeExp(U_294))) ) ) | ? [ U_303,U_302 ] : ( ~( visSomeExp(U_302) ) & ? [ U_301,U_300 ] : ( U_302 = vreduce(U_300) & visValue(U_300) & ? [ U_299 ] : ( U_322 = vapp(vabs(U_301, U_303, U_299), U_300) & U_321 = vsomeExp(vsubst(U_301, U_300, U_299)) ) ) ) | ( U_321 = vnoExp & ? [ U_308,U_307,U_306,U_305 ] : ( ~( visSomeExp(U_305) ) & ? [ U_304 ] : ( U_322 = vapp(vabs(U_308, U_307, U_306), U_304) & U_305 = vreduce(U_304) & ~( visValue(U_304) ) ) ) ) | ? [ U_314 ] : ( ! [ U_311,U_310,U_309 ] : ~( U_314 = vabs(U_311, U_310, U_309) ) & ? [ U_313 ] : ( U_313 = vreduce(U_314) & visSomeExp(U_313) & ? [ U_312 ] : ( U_322 = vapp(U_314, U_312) & U_321 = vsomeExp(vapp(vgetSomeExp(U_313), U_312)) ) ) ) | ( U_321 = vnoExp & ? [ U_320,U_319 ] : ( U_322 = vapp(U_319, U_320) & ! [ U_317,U_316,U_315 ] : ~( U_319 = vabs(U_317, U_316, U_315) ) & ? [ U_318 ] : ( U_318 = vreduce(U_319) & ~( visSomeExp(U_318) ) ) ) ) ) ),
% 32.66/33.00 inference(skolemize,[status(esa),new_symbols(skolem,[sK47]),skolemize(U_297,sK47(U_322, U_321))],[f_49_8]) ).
% 32.66/33.00
% 32.66/33.00 fof(f_49_10, plain,
% 32.66/33.00 ! [ U_322,U_321 ] : ( ~( vreduce(U_322) = U_321 ) | ( ( U_321 = vnoExp & U_322 = vvar(sK42(U_322, U_321)) ) | ( U_321 = vnoExp & U_322 = vabs(sK43(U_322, U_321), sK44(U_322, U_321), sK45(U_322, U_321)) ) | ? [ U_295 ] : ( U_322 = vapp(vabs(sK47(U_322, U_321), sK48(U_322, U_321), U_295), sK46(U_322, U_321)) & ? [ U_294 ] : ( U_294 = vreduce(sK46(U_322, U_321)) & visSomeExp(U_294) & U_321 = vsomeExp(vapp(vabs(sK47(U_322, U_321), sK48(U_322, U_321), U_295), vgetSomeExp(U_294))) ) ) | ? [ U_303,U_302 ] : ( ~( visSomeExp(U_302) ) & ? [ U_301,U_300 ] : ( U_302 = vreduce(U_300) & visValue(U_300) & ? [ U_299 ] : ( U_322 = vapp(vabs(U_301, U_303, U_299), U_300) & U_321 = vsomeExp(vsubst(U_301, U_300, U_299)) ) ) ) | ( U_321 = vnoExp & ? [ U_308,U_307,U_306,U_305 ] : ( ~( visSomeExp(U_305) ) & ? [ U_304 ] : ( U_322 = vapp(vabs(U_308, U_307, U_306), U_304) & U_305 = vreduce(U_304) & ~( visValue(U_304) ) ) ) ) | ? [ U_314 ] : ( ! [ U_311,U_310,U_309 ] : ~( U_314 = vabs(U_311, U_310, U_309) ) & ? [ U_313 ] : ( U_313 = vreduce(U_314) & visSomeExp(U_313) & ? [ U_312 ] : ( U_322 = vapp(U_314, U_312) & U_321 = vsomeExp(vapp(vgetSomeExp(U_313), U_312)) ) ) ) | ( U_321 = vnoExp & ? [ U_320,U_319 ] : ( U_322 = vapp(U_319, U_320) & ! [ U_317,U_316,U_315 ] : ~( U_319 = vabs(U_317, U_316, U_315) ) & ? [ U_318 ] : ( U_318 = vreduce(U_319) & ~( visSomeExp(U_318) ) ) ) ) ) ),
% 32.66/33.00 inference(skolemize,[status(esa),new_symbols(skolem,[sK48]),skolemize(U_296,sK48(U_322, U_321))],[f_49_9]) ).
% 32.66/33.00
% 32.66/33.00 fof(f_49_11, plain,
% 32.66/33.00 ! [ U_322,U_321 ] : ( ~( vreduce(U_322) = U_321 ) | ( ( U_321 = vnoExp & U_322 = vvar(sK42(U_322, U_321)) ) | ( U_321 = vnoExp & U_322 = vabs(sK43(U_322, U_321), sK44(U_322, U_321), sK45(U_322, U_321)) ) | ( U_322 = vapp(vabs(sK47(U_322, U_321), sK48(U_322, U_321), sK49(U_322, U_321)), sK46(U_322, U_321)) & ? [ U_294 ] : ( U_294 = vreduce(sK46(U_322, U_321)) & visSomeExp(U_294) & U_321 = vsomeExp(vapp(vabs(sK47(U_322, U_321), sK48(U_322, U_321), sK49(U_322, U_321)), vgetSomeExp(U_294))) ) ) | ? [ U_303,U_302 ] : ( ~( visSomeExp(U_302) ) & ? [ U_301,U_300 ] : ( U_302 = vreduce(U_300) & visValue(U_300) & ? [ U_299 ] : ( U_322 = vapp(vabs(U_301, U_303, U_299), U_300) & U_321 = vsomeExp(vsubst(U_301, U_300, U_299)) ) ) ) | ( U_321 = vnoExp & ? [ U_308,U_307,U_306,U_305 ] : ( ~( visSomeExp(U_305) ) & ? [ U_304 ] : ( U_322 = vapp(vabs(U_308, U_307, U_306), U_304) & U_305 = vreduce(U_304) & ~( visValue(U_304) ) ) ) ) | ? [ U_314 ] : ( ! [ U_311,U_310,U_309 ] : ~( U_314 = vabs(U_311, U_310, U_309) ) & ? [ U_313 ] : ( U_313 = vreduce(U_314) & visSomeExp(U_313) & ? [ U_312 ] : ( U_322 = vapp(U_314, U_312) & U_321 = vsomeExp(vapp(vgetSomeExp(U_313), U_312)) ) ) ) | ( U_321 = vnoExp & ? [ U_320,U_319 ] : ( U_322 = vapp(U_319, U_320) & ! [ U_317,U_316,U_315 ] : ~( U_319 = vabs(U_317, U_316, U_315) ) & ? [ U_318 ] : ( U_318 = vreduce(U_319) & ~( visSomeExp(U_318) ) ) ) ) ) ),
% 32.66/33.00 inference(skolemize,[status(esa),new_symbols(skolem,[sK49]),skolemize(U_295,sK49(U_322, U_321))],[f_49_10]) ).
% 32.66/33.00
% 32.66/33.00 fof(f_49_12, plain,
% 32.66/33.00 ! [ U_322,U_321 ] : ( ~( vreduce(U_322) = U_321 ) | ( ( U_321 = vnoExp & U_322 = vvar(sK42(U_322, U_321)) ) | ( U_321 = vnoExp & U_322 = vabs(sK43(U_322, U_321), sK44(U_322, U_321), sK45(U_322, U_321)) ) | ( U_322 = vapp(vabs(sK47(U_322, U_321), sK48(U_322, U_321), sK49(U_322, U_321)), sK46(U_322, U_321)) & ( sK50(U_322, U_321) = vreduce(sK46(U_322, U_321)) & visSomeExp(sK50(U_322, U_321)) & U_321 = vsomeExp(vapp(vabs(sK47(U_322, U_321), sK48(U_322, U_321), sK49(U_322, U_321)), vgetSomeExp(sK50(U_322, U_321)))) ) ) | ? [ U_303,U_302 ] : ( ~( visSomeExp(U_302) ) & ? [ U_301,U_300 ] : ( U_302 = vreduce(U_300) & visValue(U_300) & ? [ U_299 ] : ( U_322 = vapp(vabs(U_301, U_303, U_299), U_300) & U_321 = vsomeExp(vsubst(U_301, U_300, U_299)) ) ) ) | ( U_321 = vnoExp & ? [ U_308,U_307,U_306,U_305 ] : ( ~( visSomeExp(U_305) ) & ? [ U_304 ] : ( U_322 = vapp(vabs(U_308, U_307, U_306), U_304) & U_305 = vreduce(U_304) & ~( visValue(U_304) ) ) ) ) | ? [ U_314 ] : ( ! [ U_311,U_310,U_309 ] : ~( U_314 = vabs(U_311, U_310, U_309) ) & ? [ U_313 ] : ( U_313 = vreduce(U_314) & visSomeExp(U_313) & ? [ U_312 ] : ( U_322 = vapp(U_314, U_312) & U_321 = vsomeExp(vapp(vgetSomeExp(U_313), U_312)) ) ) ) | ( U_321 = vnoExp & ? [ U_320,U_319 ] : ( U_322 = vapp(U_319, U_320) & ! [ U_317,U_316,U_315 ] : ~( U_319 = vabs(U_317, U_316, U_315) ) & ? [ U_318 ] : ( U_318 = vreduce(U_319) & ~( visSomeExp(U_318) ) ) ) ) ) ),
% 32.66/33.00 inference(skolemize,[status(esa),new_symbols(skolem,[sK50]),skolemize(U_294,sK50(U_322, U_321))],[f_49_11]) ).
% 32.66/33.00
% 32.66/33.00 fof(f_49_13, plain,
% 32.66/33.00 ! [ U_322,U_321 ] : ( ~( vreduce(U_322) = U_321 ) | ( ( U_321 = vnoExp & U_322 = vvar(sK42(U_322, U_321)) ) | ( U_321 = vnoExp & U_322 = vabs(sK43(U_322, U_321), sK44(U_322, U_321), sK45(U_322, U_321)) ) | ( U_322 = vapp(vabs(sK47(U_322, U_321), sK48(U_322, U_321), sK49(U_322, U_321)), sK46(U_322, U_321)) & ( sK50(U_322, U_321) = vreduce(sK46(U_322, U_321)) & visSomeExp(sK50(U_322, U_321)) & U_321 = vsomeExp(vapp(vabs(sK47(U_322, U_321), sK48(U_322, U_321), sK49(U_322, U_321)), vgetSomeExp(sK50(U_322, U_321)))) ) ) | ? [ U_302 ] : ( ~( visSomeExp(U_302) ) & ? [ U_301,U_300 ] : ( U_302 = vreduce(U_300) & visValue(U_300) & ? [ U_299 ] : ( U_322 = vapp(vabs(U_301, sK51(U_322, U_321), U_299), U_300) & U_321 = vsomeExp(vsubst(U_301, U_300, U_299)) ) ) ) | ( U_321 = vnoExp & ? [ U_308,U_307,U_306,U_305 ] : ( ~( visSomeExp(U_305) ) & ? [ U_304 ] : ( U_322 = vapp(vabs(U_308, U_307, U_306), U_304) & U_305 = vreduce(U_304) & ~( visValue(U_304) ) ) ) ) | ? [ U_314 ] : ( ! [ U_311,U_310,U_309 ] : ~( U_314 = vabs(U_311, U_310, U_309) ) & ? [ U_313 ] : ( U_313 = vreduce(U_314) & visSomeExp(U_313) & ? [ U_312 ] : ( U_322 = vapp(U_314, U_312) & U_321 = vsomeExp(vapp(vgetSomeExp(U_313), U_312)) ) ) ) | ( U_321 = vnoExp & ? [ U_320,U_319 ] : ( U_322 = vapp(U_319, U_320) & ! [ U_317,U_316,U_315 ] : ~( U_319 = vabs(U_317, U_316, U_315) ) & ? [ U_318 ] : ( U_318 = vreduce(U_319) & ~( visSomeExp(U_318) ) ) ) ) ) ),
% 32.66/33.00 inference(skolemize,[status(esa),new_symbols(skolem,[sK51]),skolemize(U_303,sK51(U_322, U_321))],[f_49_12]) ).
% 32.66/33.00
% 32.66/33.00 fof(f_49_14, plain,
% 32.66/33.00 ! [ U_322,U_321 ] : ( ~( vreduce(U_322) = U_321 ) | ( ( U_321 = vnoExp & U_322 = vvar(sK42(U_322, U_321)) ) | ( U_321 = vnoExp & U_322 = vabs(sK43(U_322, U_321), sK44(U_322, U_321), sK45(U_322, U_321)) ) | ( U_322 = vapp(vabs(sK47(U_322, U_321), sK48(U_322, U_321), sK49(U_322, U_321)), sK46(U_322, U_321)) & ( sK50(U_322, U_321) = vreduce(sK46(U_322, U_321)) & visSomeExp(sK50(U_322, U_321)) & U_321 = vsomeExp(vapp(vabs(sK47(U_322, U_321), sK48(U_322, U_321), sK49(U_322, U_321)), vgetSomeExp(sK50(U_322, U_321)))) ) ) | ( ~( visSomeExp(sK52(U_322, U_321)) ) & ? [ U_301,U_300 ] : ( sK52(U_322, U_321) = vreduce(U_300) & visValue(U_300) & ? [ U_299 ] : ( U_322 = vapp(vabs(U_301, sK51(U_322, U_321), U_299), U_300) & U_321 = vsomeExp(vsubst(U_301, U_300, U_299)) ) ) ) | ( U_321 = vnoExp & ? [ U_308,U_307,U_306,U_305 ] : ( ~( visSomeExp(U_305) ) & ? [ U_304 ] : ( U_322 = vapp(vabs(U_308, U_307, U_306), U_304) & U_305 = vreduce(U_304) & ~( visValue(U_304) ) ) ) ) | ? [ U_314 ] : ( ! [ U_311,U_310,U_309 ] : ~( U_314 = vabs(U_311, U_310, U_309) ) & ? [ U_313 ] : ( U_313 = vreduce(U_314) & visSomeExp(U_313) & ? [ U_312 ] : ( U_322 = vapp(U_314, U_312) & U_321 = vsomeExp(vapp(vgetSomeExp(U_313), U_312)) ) ) ) | ( U_321 = vnoExp & ? [ U_320,U_319 ] : ( U_322 = vapp(U_319, U_320) & ! [ U_317,U_316,U_315 ] : ~( U_319 = vabs(U_317, U_316, U_315) ) & ? [ U_318 ] : ( U_318 = vreduce(U_319) & ~( visSomeExp(U_318) ) ) ) ) ) ),
% 32.66/33.00 inference(skolemize,[status(esa),new_symbols(skolem,[sK52]),skolemize(U_302,sK52(U_322, U_321))],[f_49_13]) ).
% 32.66/33.00
% 32.66/33.00 fof(f_49_15, plain,
% 32.66/33.00 ! [ U_322,U_321 ] : ( ~( vreduce(U_322) = U_321 ) | ( ( U_321 = vnoExp & U_322 = vvar(sK42(U_322, U_321)) ) | ( U_321 = vnoExp & U_322 = vabs(sK43(U_322, U_321), sK44(U_322, U_321), sK45(U_322, U_321)) ) | ( U_322 = vapp(vabs(sK47(U_322, U_321), sK48(U_322, U_321), sK49(U_322, U_321)), sK46(U_322, U_321)) & ( sK50(U_322, U_321) = vreduce(sK46(U_322, U_321)) & visSomeExp(sK50(U_322, U_321)) & U_321 = vsomeExp(vapp(vabs(sK47(U_322, U_321), sK48(U_322, U_321), sK49(U_322, U_321)), vgetSomeExp(sK50(U_322, U_321)))) ) ) | ( ~( visSomeExp(sK52(U_322, U_321)) ) & ? [ U_300 ] : ( sK52(U_322, U_321) = vreduce(U_300) & visValue(U_300) & ? [ U_299 ] : ( U_322 = vapp(vabs(sK53(U_322, U_321), sK51(U_322, U_321), U_299), U_300) & U_321 = vsomeExp(vsubst(sK53(U_322, U_321), U_300, U_299)) ) ) ) | ( U_321 = vnoExp & ? [ U_308,U_307,U_306,U_305 ] : ( ~( visSomeExp(U_305) ) & ? [ U_304 ] : ( U_322 = vapp(vabs(U_308, U_307, U_306), U_304) & U_305 = vreduce(U_304) & ~( visValue(U_304) ) ) ) ) | ? [ U_314 ] : ( ! [ U_311,U_310,U_309 ] : ~( U_314 = vabs(U_311, U_310, U_309) ) & ? [ U_313 ] : ( U_313 = vreduce(U_314) & visSomeExp(U_313) & ? [ U_312 ] : ( U_322 = vapp(U_314, U_312) & U_321 = vsomeExp(vapp(vgetSomeExp(U_313), U_312)) ) ) ) | ( U_321 = vnoExp & ? [ U_320,U_319 ] : ( U_322 = vapp(U_319, U_320) & ! [ U_317,U_316,U_315 ] : ~( U_319 = vabs(U_317, U_316, U_315) ) & ? [ U_318 ] : ( U_318 = vreduce(U_319) & ~( visSomeExp(U_318) ) ) ) ) ) ),
% 32.66/33.00 inference(skolemize,[status(esa),new_symbols(skolem,[sK53]),skolemize(U_301,sK53(U_322, U_321))],[f_49_14]) ).
% 32.66/33.00
% 32.66/33.00 fof(f_49_16, plain,
% 32.66/33.00 ! [ U_322,U_321 ] : ( ~( vreduce(U_322) = U_321 ) | ( ( U_321 = vnoExp & U_322 = vvar(sK42(U_322, U_321)) ) | ( U_321 = vnoExp & U_322 = vabs(sK43(U_322, U_321), sK44(U_322, U_321), sK45(U_322, U_321)) ) | ( U_322 = vapp(vabs(sK47(U_322, U_321), sK48(U_322, U_321), sK49(U_322, U_321)), sK46(U_322, U_321)) & ( sK50(U_322, U_321) = vreduce(sK46(U_322, U_321)) & visSomeExp(sK50(U_322, U_321)) & U_321 = vsomeExp(vapp(vabs(sK47(U_322, U_321), sK48(U_322, U_321), sK49(U_322, U_321)), vgetSomeExp(sK50(U_322, U_321)))) ) ) | ( ~( visSomeExp(sK52(U_322, U_321)) ) & ( sK52(U_322, U_321) = vreduce(sK54(U_322, U_321)) & visValue(sK54(U_322, U_321)) & ? [ U_299 ] : ( U_322 = vapp(vabs(sK53(U_322, U_321), sK51(U_322, U_321), U_299), sK54(U_322, U_321)) & U_321 = vsomeExp(vsubst(sK53(U_322, U_321), sK54(U_322, U_321), U_299)) ) ) ) | ( U_321 = vnoExp & ? [ U_308,U_307,U_306,U_305 ] : ( ~( visSomeExp(U_305) ) & ? [ U_304 ] : ( U_322 = vapp(vabs(U_308, U_307, U_306), U_304) & U_305 = vreduce(U_304) & ~( visValue(U_304) ) ) ) ) | ? [ U_314 ] : ( ! [ U_311,U_310,U_309 ] : ~( U_314 = vabs(U_311, U_310, U_309) ) & ? [ U_313 ] : ( U_313 = vreduce(U_314) & visSomeExp(U_313) & ? [ U_312 ] : ( U_322 = vapp(U_314, U_312) & U_321 = vsomeExp(vapp(vgetSomeExp(U_313), U_312)) ) ) ) | ( U_321 = vnoExp & ? [ U_320,U_319 ] : ( U_322 = vapp(U_319, U_320) & ! [ U_317,U_316,U_315 ] : ~( U_319 = vabs(U_317, U_316, U_315) ) & ? [ U_318 ] : ( U_318 = vreduce(U_319) & ~( visSomeExp(U_318) ) ) ) ) ) ),
% 32.66/33.00 inference(skolemize,[status(esa),new_symbols(skolem,[sK54]),skolemize(U_300,sK54(U_322, U_321))],[f_49_15]) ).
% 32.66/33.00
% 32.66/33.00 fof(f_49_17, plain,
% 32.66/33.00 ! [ U_322,U_321 ] : ( ~( vreduce(U_322) = U_321 ) | ( ( U_321 = vnoExp & U_322 = vvar(sK42(U_322, U_321)) ) | ( U_321 = vnoExp & U_322 = vabs(sK43(U_322, U_321), sK44(U_322, U_321), sK45(U_322, U_321)) ) | ( U_322 = vapp(vabs(sK47(U_322, U_321), sK48(U_322, U_321), sK49(U_322, U_321)), sK46(U_322, U_321)) & ( sK50(U_322, U_321) = vreduce(sK46(U_322, U_321)) & visSomeExp(sK50(U_322, U_321)) & U_321 = vsomeExp(vapp(vabs(sK47(U_322, U_321), sK48(U_322, U_321), sK49(U_322, U_321)), vgetSomeExp(sK50(U_322, U_321)))) ) ) | ( ~( visSomeExp(sK52(U_322, U_321)) ) & ( sK52(U_322, U_321) = vreduce(sK54(U_322, U_321)) & visValue(sK54(U_322, U_321)) & ( U_322 = vapp(vabs(sK53(U_322, U_321), sK51(U_322, U_321), sK55(U_322, U_321)), sK54(U_322, U_321)) & U_321 = vsomeExp(vsubst(sK53(U_322, U_321), sK54(U_322, U_321), sK55(U_322, U_321))) ) ) ) | ( U_321 = vnoExp & ? [ U_308,U_307,U_306,U_305 ] : ( ~( visSomeExp(U_305) ) & ? [ U_304 ] : ( U_322 = vapp(vabs(U_308, U_307, U_306), U_304) & U_305 = vreduce(U_304) & ~( visValue(U_304) ) ) ) ) | ? [ U_314 ] : ( ! [ U_311,U_310,U_309 ] : ~( U_314 = vabs(U_311, U_310, U_309) ) & ? [ U_313 ] : ( U_313 = vreduce(U_314) & visSomeExp(U_313) & ? [ U_312 ] : ( U_322 = vapp(U_314, U_312) & U_321 = vsomeExp(vapp(vgetSomeExp(U_313), U_312)) ) ) ) | ( U_321 = vnoExp & ? [ U_320,U_319 ] : ( U_322 = vapp(U_319, U_320) & ! [ U_317,U_316,U_315 ] : ~( U_319 = vabs(U_317, U_316, U_315) ) & ? [ U_318 ] : ( U_318 = vreduce(U_319) & ~( visSomeExp(U_318) ) ) ) ) ) ),
% 32.66/33.00 inference(skolemize,[status(esa),new_symbols(skolem,[sK55]),skolemize(U_299,sK55(U_322, U_321))],[f_49_16]) ).
% 32.66/33.00
% 32.66/33.00 fof(f_49_18, plain,
% 32.66/33.00 ! [ U_322,U_321 ] : ( ~( vreduce(U_322) = U_321 ) | ( ( U_321 = vnoExp & U_322 = vvar(sK42(U_322, U_321)) ) | ( U_321 = vnoExp & U_322 = vabs(sK43(U_322, U_321), sK44(U_322, U_321), sK45(U_322, U_321)) ) | ( U_322 = vapp(vabs(sK47(U_322, U_321), sK48(U_322, U_321), sK49(U_322, U_321)), sK46(U_322, U_321)) & ( sK50(U_322, U_321) = vreduce(sK46(U_322, U_321)) & visSomeExp(sK50(U_322, U_321)) & U_321 = vsomeExp(vapp(vabs(sK47(U_322, U_321), sK48(U_322, U_321), sK49(U_322, U_321)), vgetSomeExp(sK50(U_322, U_321)))) ) ) | ( ~( visSomeExp(sK52(U_322, U_321)) ) & ( sK52(U_322, U_321) = vreduce(sK54(U_322, U_321)) & visValue(sK54(U_322, U_321)) & ( U_322 = vapp(vabs(sK53(U_322, U_321), sK51(U_322, U_321), sK55(U_322, U_321)), sK54(U_322, U_321)) & U_321 = vsomeExp(vsubst(sK53(U_322, U_321), sK54(U_322, U_321), sK55(U_322, U_321))) ) ) ) | ( U_321 = vnoExp & ? [ U_307,U_306,U_305 ] : ( ~( visSomeExp(U_305) ) & ? [ U_304 ] : ( U_322 = vapp(vabs(sK56(U_322, U_321), U_307, U_306), U_304) & U_305 = vreduce(U_304) & ~( visValue(U_304) ) ) ) ) | ? [ U_314 ] : ( ! [ U_311,U_310,U_309 ] : ~( U_314 = vabs(U_311, U_310, U_309) ) & ? [ U_313 ] : ( U_313 = vreduce(U_314) & visSomeExp(U_313) & ? [ U_312 ] : ( U_322 = vapp(U_314, U_312) & U_321 = vsomeExp(vapp(vgetSomeExp(U_313), U_312)) ) ) ) | ( U_321 = vnoExp & ? [ U_320,U_319 ] : ( U_322 = vapp(U_319, U_320) & ! [ U_317,U_316,U_315 ] : ~( U_319 = vabs(U_317, U_316, U_315) ) & ? [ U_318 ] : ( U_318 = vreduce(U_319) & ~( visSomeExp(U_318) ) ) ) ) ) ),
% 32.66/33.00 inference(skolemize,[status(esa),new_symbols(skolem,[sK56]),skolemize(U_308,sK56(U_322, U_321))],[f_49_17]) ).
% 32.66/33.00
% 32.66/33.00 fof(f_49_19, plain,
% 32.66/33.00 ! [ U_322,U_321 ] : ( ~( vreduce(U_322) = U_321 ) | ( ( U_321 = vnoExp & U_322 = vvar(sK42(U_322, U_321)) ) | ( U_321 = vnoExp & U_322 = vabs(sK43(U_322, U_321), sK44(U_322, U_321), sK45(U_322, U_321)) ) | ( U_322 = vapp(vabs(sK47(U_322, U_321), sK48(U_322, U_321), sK49(U_322, U_321)), sK46(U_322, U_321)) & ( sK50(U_322, U_321) = vreduce(sK46(U_322, U_321)) & visSomeExp(sK50(U_322, U_321)) & U_321 = vsomeExp(vapp(vabs(sK47(U_322, U_321), sK48(U_322, U_321), sK49(U_322, U_321)), vgetSomeExp(sK50(U_322, U_321)))) ) ) | ( ~( visSomeExp(sK52(U_322, U_321)) ) & ( sK52(U_322, U_321) = vreduce(sK54(U_322, U_321)) & visValue(sK54(U_322, U_321)) & ( U_322 = vapp(vabs(sK53(U_322, U_321), sK51(U_322, U_321), sK55(U_322, U_321)), sK54(U_322, U_321)) & U_321 = vsomeExp(vsubst(sK53(U_322, U_321), sK54(U_322, U_321), sK55(U_322, U_321))) ) ) ) | ( U_321 = vnoExp & ? [ U_306,U_305 ] : ( ~( visSomeExp(U_305) ) & ? [ U_304 ] : ( U_322 = vapp(vabs(sK56(U_322, U_321), sK57(U_322, U_321), U_306), U_304) & U_305 = vreduce(U_304) & ~( visValue(U_304) ) ) ) ) | ? [ U_314 ] : ( ! [ U_311,U_310,U_309 ] : ~( U_314 = vabs(U_311, U_310, U_309) ) & ? [ U_313 ] : ( U_313 = vreduce(U_314) & visSomeExp(U_313) & ? [ U_312 ] : ( U_322 = vapp(U_314, U_312) & U_321 = vsomeExp(vapp(vgetSomeExp(U_313), U_312)) ) ) ) | ( U_321 = vnoExp & ? [ U_320,U_319 ] : ( U_322 = vapp(U_319, U_320) & ! [ U_317,U_316,U_315 ] : ~( U_319 = vabs(U_317, U_316, U_315) ) & ? [ U_318 ] : ( U_318 = vreduce(U_319) & ~( visSomeExp(U_318) ) ) ) ) ) ),
% 32.66/33.00 inference(skolemize,[status(esa),new_symbols(skolem,[sK57]),skolemize(U_307,sK57(U_322, U_321))],[f_49_18]) ).
% 32.66/33.00
% 32.66/33.00 fof(f_49_20, plain,
% 32.66/33.00 ! [ U_322,U_321 ] : ( ~( vreduce(U_322) = U_321 ) | ( ( U_321 = vnoExp & U_322 = vvar(sK42(U_322, U_321)) ) | ( U_321 = vnoExp & U_322 = vabs(sK43(U_322, U_321), sK44(U_322, U_321), sK45(U_322, U_321)) ) | ( U_322 = vapp(vabs(sK47(U_322, U_321), sK48(U_322, U_321), sK49(U_322, U_321)), sK46(U_322, U_321)) & ( sK50(U_322, U_321) = vreduce(sK46(U_322, U_321)) & visSomeExp(sK50(U_322, U_321)) & U_321 = vsomeExp(vapp(vabs(sK47(U_322, U_321), sK48(U_322, U_321), sK49(U_322, U_321)), vgetSomeExp(sK50(U_322, U_321)))) ) ) | ( ~( visSomeExp(sK52(U_322, U_321)) ) & ( sK52(U_322, U_321) = vreduce(sK54(U_322, U_321)) & visValue(sK54(U_322, U_321)) & ( U_322 = vapp(vabs(sK53(U_322, U_321), sK51(U_322, U_321), sK55(U_322, U_321)), sK54(U_322, U_321)) & U_321 = vsomeExp(vsubst(sK53(U_322, U_321), sK54(U_322, U_321), sK55(U_322, U_321))) ) ) ) | ( U_321 = vnoExp & ? [ U_305 ] : ( ~( visSomeExp(U_305) ) & ? [ U_304 ] : ( U_322 = vapp(vabs(sK56(U_322, U_321), sK57(U_322, U_321), sK58(U_322, U_321)), U_304) & U_305 = vreduce(U_304) & ~( visValue(U_304) ) ) ) ) | ? [ U_314 ] : ( ! [ U_311,U_310,U_309 ] : ~( U_314 = vabs(U_311, U_310, U_309) ) & ? [ U_313 ] : ( U_313 = vreduce(U_314) & visSomeExp(U_313) & ? [ U_312 ] : ( U_322 = vapp(U_314, U_312) & U_321 = vsomeExp(vapp(vgetSomeExp(U_313), U_312)) ) ) ) | ( U_321 = vnoExp & ? [ U_320,U_319 ] : ( U_322 = vapp(U_319, U_320) & ! [ U_317,U_316,U_315 ] : ~( U_319 = vabs(U_317, U_316, U_315) ) & ? [ U_318 ] : ( U_318 = vreduce(U_319) & ~( visSomeExp(U_318) ) ) ) ) ) ),
% 32.66/33.00 inference(skolemize,[status(esa),new_symbols(skolem,[sK58]),skolemize(U_306,sK58(U_322, U_321))],[f_49_19]) ).
% 32.66/33.00
% 32.66/33.00 fof(f_49_21, plain,
% 32.66/33.00 ! [ U_322,U_321 ] : ( ~( vreduce(U_322) = U_321 ) | ( ( U_321 = vnoExp & U_322 = vvar(sK42(U_322, U_321)) ) | ( U_321 = vnoExp & U_322 = vabs(sK43(U_322, U_321), sK44(U_322, U_321), sK45(U_322, U_321)) ) | ( U_322 = vapp(vabs(sK47(U_322, U_321), sK48(U_322, U_321), sK49(U_322, U_321)), sK46(U_322, U_321)) & ( sK50(U_322, U_321) = vreduce(sK46(U_322, U_321)) & visSomeExp(sK50(U_322, U_321)) & U_321 = vsomeExp(vapp(vabs(sK47(U_322, U_321), sK48(U_322, U_321), sK49(U_322, U_321)), vgetSomeExp(sK50(U_322, U_321)))) ) ) | ( ~( visSomeExp(sK52(U_322, U_321)) ) & ( sK52(U_322, U_321) = vreduce(sK54(U_322, U_321)) & visValue(sK54(U_322, U_321)) & ( U_322 = vapp(vabs(sK53(U_322, U_321), sK51(U_322, U_321), sK55(U_322, U_321)), sK54(U_322, U_321)) & U_321 = vsomeExp(vsubst(sK53(U_322, U_321), sK54(U_322, U_321), sK55(U_322, U_321))) ) ) ) | ( U_321 = vnoExp & ( ~( visSomeExp(sK59(U_322, U_321)) ) & ? [ U_304 ] : ( U_322 = vapp(vabs(sK56(U_322, U_321), sK57(U_322, U_321), sK58(U_322, U_321)), U_304) & sK59(U_322, U_321) = vreduce(U_304) & ~( visValue(U_304) ) ) ) ) | ? [ U_314 ] : ( ! [ U_311,U_310,U_309 ] : ~( U_314 = vabs(U_311, U_310, U_309) ) & ? [ U_313 ] : ( U_313 = vreduce(U_314) & visSomeExp(U_313) & ? [ U_312 ] : ( U_322 = vapp(U_314, U_312) & U_321 = vsomeExp(vapp(vgetSomeExp(U_313), U_312)) ) ) ) | ( U_321 = vnoExp & ? [ U_320,U_319 ] : ( U_322 = vapp(U_319, U_320) & ! [ U_317,U_316,U_315 ] : ~( U_319 = vabs(U_317, U_316, U_315) ) & ? [ U_318 ] : ( U_318 = vreduce(U_319) & ~( visSomeExp(U_318) ) ) ) ) ) ),
% 32.66/33.00 inference(skolemize,[status(esa),new_symbols(skolem,[sK59]),skolemize(U_305,sK59(U_322, U_321))],[f_49_20]) ).
% 32.66/33.00
% 32.66/33.00 fof(f_49_22, plain,
% 32.66/33.00 ! [ U_322,U_321 ] : ( ~( vreduce(U_322) = U_321 ) | ( ( U_321 = vnoExp & U_322 = vvar(sK42(U_322, U_321)) ) | ( U_321 = vnoExp & U_322 = vabs(sK43(U_322, U_321), sK44(U_322, U_321), sK45(U_322, U_321)) ) | ( U_322 = vapp(vabs(sK47(U_322, U_321), sK48(U_322, U_321), sK49(U_322, U_321)), sK46(U_322, U_321)) & ( sK50(U_322, U_321) = vreduce(sK46(U_322, U_321)) & visSomeExp(sK50(U_322, U_321)) & U_321 = vsomeExp(vapp(vabs(sK47(U_322, U_321), sK48(U_322, U_321), sK49(U_322, U_321)), vgetSomeExp(sK50(U_322, U_321)))) ) ) | ( ~( visSomeExp(sK52(U_322, U_321)) ) & ( sK52(U_322, U_321) = vreduce(sK54(U_322, U_321)) & visValue(sK54(U_322, U_321)) & ( U_322 = vapp(vabs(sK53(U_322, U_321), sK51(U_322, U_321), sK55(U_322, U_321)), sK54(U_322, U_321)) & U_321 = vsomeExp(vsubst(sK53(U_322, U_321), sK54(U_322, U_321), sK55(U_322, U_321))) ) ) ) | ( U_321 = vnoExp & ( ~( visSomeExp(sK59(U_322, U_321)) ) & ( U_322 = vapp(vabs(sK56(U_322, U_321), sK57(U_322, U_321), sK58(U_322, U_321)), sK60(U_322, U_321)) & sK59(U_322, U_321) = vreduce(sK60(U_322, U_321)) & ~( visValue(sK60(U_322, U_321)) ) ) ) ) | ? [ U_314 ] : ( ! [ U_311,U_310,U_309 ] : ~( U_314 = vabs(U_311, U_310, U_309) ) & ? [ U_313 ] : ( U_313 = vreduce(U_314) & visSomeExp(U_313) & ? [ U_312 ] : ( U_322 = vapp(U_314, U_312) & U_321 = vsomeExp(vapp(vgetSomeExp(U_313), U_312)) ) ) ) | ( U_321 = vnoExp & ? [ U_320,U_319 ] : ( U_322 = vapp(U_319, U_320) & ! [ U_317,U_316,U_315 ] : ~( U_319 = vabs(U_317, U_316, U_315) ) & ? [ U_318 ] : ( U_318 = vreduce(U_319) & ~( visSomeExp(U_318) ) ) ) ) ) ),
% 32.66/33.00 inference(skolemize,[status(esa),new_symbols(skolem,[sK60]),skolemize(U_304,sK60(U_322, U_321))],[f_49_21]) ).
% 32.66/33.00
% 32.66/33.00 fof(f_49_23, plain,
% 32.66/33.00 ! [ U_322,U_321 ] : ( ~( vreduce(U_322) = U_321 ) | ( ( U_321 = vnoExp & U_322 = vvar(sK42(U_322, U_321)) ) | ( U_321 = vnoExp & U_322 = vabs(sK43(U_322, U_321), sK44(U_322, U_321), sK45(U_322, U_321)) ) | ( U_322 = vapp(vabs(sK47(U_322, U_321), sK48(U_322, U_321), sK49(U_322, U_321)), sK46(U_322, U_321)) & ( sK50(U_322, U_321) = vreduce(sK46(U_322, U_321)) & visSomeExp(sK50(U_322, U_321)) & U_321 = vsomeExp(vapp(vabs(sK47(U_322, U_321), sK48(U_322, U_321), sK49(U_322, U_321)), vgetSomeExp(sK50(U_322, U_321)))) ) ) | ( ~( visSomeExp(sK52(U_322, U_321)) ) & ( sK52(U_322, U_321) = vreduce(sK54(U_322, U_321)) & visValue(sK54(U_322, U_321)) & ( U_322 = vapp(vabs(sK53(U_322, U_321), sK51(U_322, U_321), sK55(U_322, U_321)), sK54(U_322, U_321)) & U_321 = vsomeExp(vsubst(sK53(U_322, U_321), sK54(U_322, U_321), sK55(U_322, U_321))) ) ) ) | ( U_321 = vnoExp & ( ~( visSomeExp(sK59(U_322, U_321)) ) & ( U_322 = vapp(vabs(sK56(U_322, U_321), sK57(U_322, U_321), sK58(U_322, U_321)), sK60(U_322, U_321)) & sK59(U_322, U_321) = vreduce(sK60(U_322, U_321)) & ~( visValue(sK60(U_322, U_321)) ) ) ) ) | ( ! [ U_311,U_310,U_309 ] : ~( sK61(U_322, U_321) = vabs(U_311, U_310, U_309) ) & ? [ U_313 ] : ( U_313 = vreduce(sK61(U_322, U_321)) & visSomeExp(U_313) & ? [ U_312 ] : ( U_322 = vapp(sK61(U_322, U_321), U_312) & U_321 = vsomeExp(vapp(vgetSomeExp(U_313), U_312)) ) ) ) | ( U_321 = vnoExp & ? [ U_320,U_319 ] : ( U_322 = vapp(U_319, U_320) & ! [ U_317,U_316,U_315 ] : ~( U_319 = vabs(U_317, U_316, U_315) ) & ? [ U_318 ] : ( U_318 = vreduce(U_319) & ~( visSomeExp(U_318) ) ) ) ) ) ),
% 32.66/33.00 inference(skolemize,[status(esa),new_symbols(skolem,[sK61]),skolemize(U_314,sK61(U_322, U_321))],[f_49_22]) ).
% 32.66/33.00
% 32.66/33.00 fof(f_49_24, plain,
% 32.66/33.00 ! [ U_322,U_321 ] : ( ~( vreduce(U_322) = U_321 ) | ( ( U_321 = vnoExp & U_322 = vvar(sK42(U_322, U_321)) ) | ( U_321 = vnoExp & U_322 = vabs(sK43(U_322, U_321), sK44(U_322, U_321), sK45(U_322, U_321)) ) | ( U_322 = vapp(vabs(sK47(U_322, U_321), sK48(U_322, U_321), sK49(U_322, U_321)), sK46(U_322, U_321)) & ( sK50(U_322, U_321) = vreduce(sK46(U_322, U_321)) & visSomeExp(sK50(U_322, U_321)) & U_321 = vsomeExp(vapp(vabs(sK47(U_322, U_321), sK48(U_322, U_321), sK49(U_322, U_321)), vgetSomeExp(sK50(U_322, U_321)))) ) ) | ( ~( visSomeExp(sK52(U_322, U_321)) ) & ( sK52(U_322, U_321) = vreduce(sK54(U_322, U_321)) & visValue(sK54(U_322, U_321)) & ( U_322 = vapp(vabs(sK53(U_322, U_321), sK51(U_322, U_321), sK55(U_322, U_321)), sK54(U_322, U_321)) & U_321 = vsomeExp(vsubst(sK53(U_322, U_321), sK54(U_322, U_321), sK55(U_322, U_321))) ) ) ) | ( U_321 = vnoExp & ( ~( visSomeExp(sK59(U_322, U_321)) ) & ( U_322 = vapp(vabs(sK56(U_322, U_321), sK57(U_322, U_321), sK58(U_322, U_321)), sK60(U_322, U_321)) & sK59(U_322, U_321) = vreduce(sK60(U_322, U_321)) & ~( visValue(sK60(U_322, U_321)) ) ) ) ) | ( ! [ U_311,U_310,U_309 ] : ~( sK61(U_322, U_321) = vabs(U_311, U_310, U_309) ) & ( sK62(U_322, U_321) = vreduce(sK61(U_322, U_321)) & visSomeExp(sK62(U_322, U_321)) & ? [ U_312 ] : ( U_322 = vapp(sK61(U_322, U_321), U_312) & U_321 = vsomeExp(vapp(vgetSomeExp(sK62(U_322, U_321)), U_312)) ) ) ) | ( U_321 = vnoExp & ? [ U_320,U_319 ] : ( U_322 = vapp(U_319, U_320) & ! [ U_317,U_316,U_315 ] : ~( U_319 = vabs(U_317, U_316, U_315) ) & ? [ U_318 ] : ( U_318 = vreduce(U_319) & ~( visSomeExp(U_318) ) ) ) ) ) ),
% 32.66/33.00 inference(skolemize,[status(esa),new_symbols(skolem,[sK62]),skolemize(U_313,sK62(U_322, U_321))],[f_49_23]) ).
% 32.66/33.00
% 32.66/33.00 fof(f_49_25, plain,
% 32.66/33.00 ! [ U_322,U_321 ] : ( ~( vreduce(U_322) = U_321 ) | ( ( U_321 = vnoExp & U_322 = vvar(sK42(U_322, U_321)) ) | ( U_321 = vnoExp & U_322 = vabs(sK43(U_322, U_321), sK44(U_322, U_321), sK45(U_322, U_321)) ) | ( U_322 = vapp(vabs(sK47(U_322, U_321), sK48(U_322, U_321), sK49(U_322, U_321)), sK46(U_322, U_321)) & ( sK50(U_322, U_321) = vreduce(sK46(U_322, U_321)) & visSomeExp(sK50(U_322, U_321)) & U_321 = vsomeExp(vapp(vabs(sK47(U_322, U_321), sK48(U_322, U_321), sK49(U_322, U_321)), vgetSomeExp(sK50(U_322, U_321)))) ) ) | ( ~( visSomeExp(sK52(U_322, U_321)) ) & ( sK52(U_322, U_321) = vreduce(sK54(U_322, U_321)) & visValue(sK54(U_322, U_321)) & ( U_322 = vapp(vabs(sK53(U_322, U_321), sK51(U_322, U_321), sK55(U_322, U_321)), sK54(U_322, U_321)) & U_321 = vsomeExp(vsubst(sK53(U_322, U_321), sK54(U_322, U_321), sK55(U_322, U_321))) ) ) ) | ( U_321 = vnoExp & ( ~( visSomeExp(sK59(U_322, U_321)) ) & ( U_322 = vapp(vabs(sK56(U_322, U_321), sK57(U_322, U_321), sK58(U_322, U_321)), sK60(U_322, U_321)) & sK59(U_322, U_321) = vreduce(sK60(U_322, U_321)) & ~( visValue(sK60(U_322, U_321)) ) ) ) ) | ( ! [ U_311,U_310,U_309 ] : ~( sK61(U_322, U_321) = vabs(U_311, U_310, U_309) ) & ( sK62(U_322, U_321) = vreduce(sK61(U_322, U_321)) & visSomeExp(sK62(U_322, U_321)) & ( U_322 = vapp(sK61(U_322, U_321), sK63(U_322, U_321)) & U_321 = vsomeExp(vapp(vgetSomeExp(sK62(U_322, U_321)), sK63(U_322, U_321))) ) ) ) | ( U_321 = vnoExp & ? [ U_320,U_319 ] : ( U_322 = vapp(U_319, U_320) & ! [ U_317,U_316,U_315 ] : ~( U_319 = vabs(U_317, U_316, U_315) ) & ? [ U_318 ] : ( U_318 = vreduce(U_319) & ~( visSomeExp(U_318) ) ) ) ) ) ),
% 32.66/33.00 inference(skolemize,[status(esa),new_symbols(skolem,[sK63]),skolemize(U_312,sK63(U_322, U_321))],[f_49_24]) ).
% 32.66/33.00
% 32.66/33.00 fof(f_49_26, plain,
% 32.66/33.00 ! [ U_322,U_321 ] : ( ~( vreduce(U_322) = U_321 ) | ( ( U_321 = vnoExp & U_322 = vvar(sK42(U_322, U_321)) ) | ( U_321 = vnoExp & U_322 = vabs(sK43(U_322, U_321), sK44(U_322, U_321), sK45(U_322, U_321)) ) | ( U_322 = vapp(vabs(sK47(U_322, U_321), sK48(U_322, U_321), sK49(U_322, U_321)), sK46(U_322, U_321)) & ( sK50(U_322, U_321) = vreduce(sK46(U_322, U_321)) & visSomeExp(sK50(U_322, U_321)) & U_321 = vsomeExp(vapp(vabs(sK47(U_322, U_321), sK48(U_322, U_321), sK49(U_322, U_321)), vgetSomeExp(sK50(U_322, U_321)))) ) ) | ( ~( visSomeExp(sK52(U_322, U_321)) ) & ( sK52(U_322, U_321) = vreduce(sK54(U_322, U_321)) & visValue(sK54(U_322, U_321)) & ( U_322 = vapp(vabs(sK53(U_322, U_321), sK51(U_322, U_321), sK55(U_322, U_321)), sK54(U_322, U_321)) & U_321 = vsomeExp(vsubst(sK53(U_322, U_321), sK54(U_322, U_321), sK55(U_322, U_321))) ) ) ) | ( U_321 = vnoExp & ( ~( visSomeExp(sK59(U_322, U_321)) ) & ( U_322 = vapp(vabs(sK56(U_322, U_321), sK57(U_322, U_321), sK58(U_322, U_321)), sK60(U_322, U_321)) & sK59(U_322, U_321) = vreduce(sK60(U_322, U_321)) & ~( visValue(sK60(U_322, U_321)) ) ) ) ) | ( ! [ U_311,U_310,U_309 ] : ~( sK61(U_322, U_321) = vabs(U_311, U_310, U_309) ) & ( sK62(U_322, U_321) = vreduce(sK61(U_322, U_321)) & visSomeExp(sK62(U_322, U_321)) & ( U_322 = vapp(sK61(U_322, U_321), sK63(U_322, U_321)) & U_321 = vsomeExp(vapp(vgetSomeExp(sK62(U_322, U_321)), sK63(U_322, U_321))) ) ) ) | ( U_321 = vnoExp & ? [ U_319 ] : ( U_322 = vapp(U_319, sK64(U_322, U_321)) & ! [ U_317,U_316,U_315 ] : ~( U_319 = vabs(U_317, U_316, U_315) ) & ? [ U_318 ] : ( U_318 = vreduce(U_319) & ~( visSomeExp(U_318) ) ) ) ) ) ),
% 32.66/33.00 inference(skolemize,[status(esa),new_symbols(skolem,[sK64]),skolemize(U_320,sK64(U_322, U_321))],[f_49_25]) ).
% 32.66/33.00
% 32.66/33.00 fof(f_49_27, plain,
% 32.66/33.00 ! [ U_322,U_321 ] : ( ~( vreduce(U_322) = U_321 ) | ( ( U_321 = vnoExp & U_322 = vvar(sK42(U_322, U_321)) ) | ( U_321 = vnoExp & U_322 = vabs(sK43(U_322, U_321), sK44(U_322, U_321), sK45(U_322, U_321)) ) | ( U_322 = vapp(vabs(sK47(U_322, U_321), sK48(U_322, U_321), sK49(U_322, U_321)), sK46(U_322, U_321)) & ( sK50(U_322, U_321) = vreduce(sK46(U_322, U_321)) & visSomeExp(sK50(U_322, U_321)) & U_321 = vsomeExp(vapp(vabs(sK47(U_322, U_321), sK48(U_322, U_321), sK49(U_322, U_321)), vgetSomeExp(sK50(U_322, U_321)))) ) ) | ( ~( visSomeExp(sK52(U_322, U_321)) ) & ( sK52(U_322, U_321) = vreduce(sK54(U_322, U_321)) & visValue(sK54(U_322, U_321)) & ( U_322 = vapp(vabs(sK53(U_322, U_321), sK51(U_322, U_321), sK55(U_322, U_321)), sK54(U_322, U_321)) & U_321 = vsomeExp(vsubst(sK53(U_322, U_321), sK54(U_322, U_321), sK55(U_322, U_321))) ) ) ) | ( U_321 = vnoExp & ( ~( visSomeExp(sK59(U_322, U_321)) ) & ( U_322 = vapp(vabs(sK56(U_322, U_321), sK57(U_322, U_321), sK58(U_322, U_321)), sK60(U_322, U_321)) & sK59(U_322, U_321) = vreduce(sK60(U_322, U_321)) & ~( visValue(sK60(U_322, U_321)) ) ) ) ) | ( ! [ U_311,U_310,U_309 ] : ~( sK61(U_322, U_321) = vabs(U_311, U_310, U_309) ) & ( sK62(U_322, U_321) = vreduce(sK61(U_322, U_321)) & visSomeExp(sK62(U_322, U_321)) & ( U_322 = vapp(sK61(U_322, U_321), sK63(U_322, U_321)) & U_321 = vsomeExp(vapp(vgetSomeExp(sK62(U_322, U_321)), sK63(U_322, U_321))) ) ) ) | ( U_321 = vnoExp & ( U_322 = vapp(sK65(U_322, U_321), sK64(U_322, U_321)) & ! [ U_317,U_316,U_315 ] : ~( sK65(U_322, U_321) = vabs(U_317, U_316, U_315) ) & ? [ U_318 ] : ( U_318 = vreduce(sK65(U_322, U_321)) & ~( visSomeExp(U_318) ) ) ) ) ) ),
% 32.66/33.00 inference(skolemize,[status(esa),new_symbols(skolem,[sK65]),skolemize(U_319,sK65(U_322, U_321))],[f_49_26]) ).
% 32.66/33.00
% 32.66/33.00 fof(f_49_28, plain,
% 32.66/33.00 ! [ U_322,U_321 ] : ( ~( vreduce(U_322) = U_321 ) | ( ( U_321 = vnoExp & U_322 = vvar(sK42(U_322, U_321)) ) | ( U_321 = vnoExp & U_322 = vabs(sK43(U_322, U_321), sK44(U_322, U_321), sK45(U_322, U_321)) ) | ( U_322 = vapp(vabs(sK47(U_322, U_321), sK48(U_322, U_321), sK49(U_322, U_321)), sK46(U_322, U_321)) & ( sK50(U_322, U_321) = vreduce(sK46(U_322, U_321)) & visSomeExp(sK50(U_322, U_321)) & U_321 = vsomeExp(vapp(vabs(sK47(U_322, U_321), sK48(U_322, U_321), sK49(U_322, U_321)), vgetSomeExp(sK50(U_322, U_321)))) ) ) | ( ~( visSomeExp(sK52(U_322, U_321)) ) & ( sK52(U_322, U_321) = vreduce(sK54(U_322, U_321)) & visValue(sK54(U_322, U_321)) & ( U_322 = vapp(vabs(sK53(U_322, U_321), sK51(U_322, U_321), sK55(U_322, U_321)), sK54(U_322, U_321)) & U_321 = vsomeExp(vsubst(sK53(U_322, U_321), sK54(U_322, U_321), sK55(U_322, U_321))) ) ) ) | ( U_321 = vnoExp & ( ~( visSomeExp(sK59(U_322, U_321)) ) & ( U_322 = vapp(vabs(sK56(U_322, U_321), sK57(U_322, U_321), sK58(U_322, U_321)), sK60(U_322, U_321)) & sK59(U_322, U_321) = vreduce(sK60(U_322, U_321)) & ~( visValue(sK60(U_322, U_321)) ) ) ) ) | ( ! [ U_311,U_310,U_309 ] : ~( sK61(U_322, U_321) = vabs(U_311, U_310, U_309) ) & ( sK62(U_322, U_321) = vreduce(sK61(U_322, U_321)) & visSomeExp(sK62(U_322, U_321)) & ( U_322 = vapp(sK61(U_322, U_321), sK63(U_322, U_321)) & U_321 = vsomeExp(vapp(vgetSomeExp(sK62(U_322, U_321)), sK63(U_322, U_321))) ) ) ) | ( U_321 = vnoExp & ( U_322 = vapp(sK65(U_322, U_321), sK64(U_322, U_321)) & ! [ U_317,U_316,U_315 ] : ~( sK65(U_322, U_321) = vabs(U_317, U_316, U_315) ) & ( sK66(U_322, U_321) = vreduce(sK65(U_322, U_321)) & ~( visSomeExp(sK66(U_322, U_321)) ) ) ) ) ) ),
% 32.66/33.00 inference(skolemize,[status(esa),new_symbols(skolem,[sK66]),skolemize(U_318,sK66(U_322, U_321))],[f_49_27]) ).
% 32.66/33.00
% 32.66/33.00 fof(f_49_29, plain,
% 32.66/33.00 ( ( ! [U_310, U_321, U_316, U_309, U_317, U_311, U_322, U_315] : ( vreduce(U_322) != U_321 | sP17(U_321, U_322) | sP18(U_321, U_322) | sP19(U_321, U_322) | sP20(U_321, U_322) | sP21(U_321, U_322) | sP22(U_310, U_321, U_309, U_311, U_322) | sP23(U_321, U_316, U_317, U_322, U_315) ) ) & ( ! [U_321, U_322] : ( ~sP17(U_321, U_322) | U_321 = vnoExp ) ) & ( ! [U_321, U_322] : ( ~sP17(U_321, U_322) | U_322 = vvar(sK42(U_322, U_321)) ) ) & ( ! [U_321, U_322] : ( ~sP18(U_321, U_322) | U_321 = vnoExp ) ) & ( ! [U_321, U_322] : ( ~sP18(U_321, U_322) | U_322 = vabs(sK43(U_322, U_321), sK44(U_322, U_321), sK45(U_322, U_321)) ) ) & ( ! [U_321, U_322] : ( ~sP19(U_321, U_322) | U_322 = vapp(vabs(sK47(U_322, U_321), sK48(U_322, U_321), sK49(U_322, U_321)), sK46(U_322, U_321)) ) ) & ( ! [U_321, U_322] : ( ~sP19(U_321, U_322) | sK50(U_322, U_321) = vreduce(sK46(U_322, U_321)) ) ) & ( ! [U_321, U_322] : ( ~sP19(U_321, U_322) | visSomeExp(sK50(U_322, U_321)) ) ) & ( ! [U_321, U_322] : ( ~sP19(U_321, U_322) | U_321 = vsomeExp(vapp(vabs(sK47(U_322, U_321), sK48(U_322, U_321), sK49(U_322, U_321)), vgetSomeExp(sK50(U_322, U_321)))) ) ) & ( ! [U_321, U_322] : ( ~sP20(U_321, U_322) | ~visSomeExp(sK52(U_322, U_321)) ) ) & ( ! [U_321, U_322] : ( ~sP20(U_321, U_322) | sK52(U_322, U_321) = vreduce(sK54(U_322, U_321)) ) ) & ( ! [U_321, U_322] : ( ~sP20(U_321, U_322) | visValue(sK54(U_322, U_321)) ) ) & ( ! [U_321, U_322] : ( ~sP20(U_321, U_322) | U_322 = vapp(vabs(sK53(U_322, U_321), sK51(U_322, U_321), sK55(U_322, U_321)), sK54(U_322, U_321)) ) ) & ( ! [U_321, U_322] : ( ~sP20(U_321, U_322) | U_321 = vsomeExp(vsubst(sK53(U_322, U_321), sK54(U_322, U_321), sK55(U_322, U_321))) ) ) & ( ! [U_321, U_322] : ( ~sP21(U_321, U_322) | U_321 = vnoExp ) ) & ( ! [U_321, U_322] : ( ~sP21(U_321, U_322) | ~visSomeExp(sK59(U_322, U_321)) ) ) & ( ! [U_321, U_322] : ( ~sP21(U_321, U_322) | U_322 = vapp(vabs(sK56(U_322, U_321), sK57(U_322, U_321), sK58(U_322, U_321)), sK60(U_322, U_321)) ) ) & ( ! [U_321, U_322] : ( ~sP21(U_321, U_322) | sK59(U_322, U_321) = vreduce(sK60(U_322, U_321)) ) ) & ( ! [U_321, U_322] : ( ~sP21(U_321, U_322) | ~visValue(sK60(U_322, U_321)) ) ) & ( ! [U_310, U_321, U_309, U_311, U_322] : ( ~sP22(U_310, U_321, U_309, U_311, U_322) | sK61(U_322, U_321) != vabs(U_311, U_310, U_309) ) ) & ( ! [U_310, U_321, U_309, U_311, U_322] : ( ~sP22(U_310, U_321, U_309, U_311, U_322) | sK62(U_322, U_321) = vreduce(sK61(U_322, U_321)) ) ) & ( ! [U_310, U_321, U_309, U_311, U_322] : ( ~sP22(U_310, U_321, U_309, U_311, U_322) | visSomeExp(sK62(U_322, U_321)) ) ) & ( ! [U_310, U_321, U_309, U_311, U_322] : ( ~sP22(U_310, U_321, U_309, U_311, U_322) | U_322 = vapp(sK61(U_322, U_321), sK63(U_322, U_321)) ) ) & ( ! [U_310, U_321, U_309, U_311, U_322] : ( ~sP22(U_310, U_321, U_309, U_311, U_322) | U_321 = vsomeExp(vapp(vgetSomeExp(sK62(U_322, U_321)), sK63(U_322, U_321))) ) ) & ( ! [U_321, U_316, U_317, U_322, U_315] : ( ~sP23(U_321, U_316, U_317, U_322, U_315) | U_321 = vnoExp ) ) & ( ! [U_321, U_316, U_317, U_322, U_315] : ( ~sP23(U_321, U_316, U_317, U_322, U_315) | U_322 = vapp(sK65(U_322, U_321), sK64(U_322, U_321)) ) ) & ( ! [U_321, U_316, U_317, U_322, U_315] : ( ~sP23(U_321, U_316, U_317, U_322, U_315) | sK65(U_322, U_321) != vabs(U_317, U_316, U_315) ) ) & ( ! [U_321, U_316, U_317, U_322, U_315] : ( ~sP23(U_321, U_316, U_317, U_322, U_315) | sK66(U_322, U_321) = vreduce(sK65(U_322, U_321)) ) ) & ( ! [U_321, U_316, U_317, U_322, U_315] : ( ~sP23(U_321, U_316, U_317, U_322, U_315) | ~visSomeExp(sK66(U_322, U_321)) ) ) ),
% 32.66/33.00 inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP17, sP18, sP19, sP20, sP21, sP22, sP23])],[f_49_28]) ).
% 32.66/33.00
% 32.66/33.00 cnf(f_49_30, plain,
% 32.66/33.00 ( vreduce(U_322) != U_321 | sP17(U_321, U_322) | sP18(U_321, U_322) | sP19(U_321, U_322) | sP20(U_321, U_322) | sP21(U_321, U_322) | sP22(U_310, U_321, U_309, U_311, U_322) | sP23(U_321, U_316, U_317, U_322, U_315) ),
% 32.66/33.00 inference(clausify,[status(thm)],[f_49_29]) ).
% 32.66/33.00
% 32.66/33.00 cnf(f_49_31, plain,
% 32.66/33.00 ( ~sP17(U_321, U_322) | U_321 = vnoExp ),
% 32.66/33.00 inference(clausify,[status(thm)],[f_49_29]) ).
% 32.66/33.00
% 32.66/33.00 cnf(f_49_32, plain,
% 32.66/33.00 ( ~sP17(U_321, U_322) | U_322 = vvar(sK42(U_322, U_321)) ),
% 32.66/33.00 inference(clausify,[status(thm)],[f_49_29]) ).
% 32.66/33.00
% 32.66/33.00 cnf(f_49_33, plain,
% 32.66/33.00 ( ~sP18(U_321, U_322) | U_321 = vnoExp ),
% 32.66/33.00 inference(clausify,[status(thm)],[f_49_29]) ).
% 32.66/33.00
% 32.66/33.00 cnf(f_49_34, plain,
% 32.66/33.00 ( ~sP18(U_321, U_322) | U_322 = vabs(sK43(U_322, U_321), sK44(U_322, U_321), sK45(U_322, U_321)) ),
% 32.66/33.00 inference(clausify,[status(thm)],[f_49_29]) ).
% 32.66/33.00
% 32.66/33.00 cnf(f_49_35, plain,
% 32.66/33.00 ( ~sP19(U_321, U_322) | U_322 = vapp(vabs(sK47(U_322, U_321), sK48(U_322, U_321), sK49(U_322, U_321)), sK46(U_322, U_321)) ),
% 32.66/33.00 inference(clausify,[status(thm)],[f_49_29]) ).
% 32.66/33.00
% 32.66/33.00 cnf(f_49_36, plain,
% 32.66/33.00 ( ~sP19(U_321, U_322) | sK50(U_322, U_321) = vreduce(sK46(U_322, U_321)) ),
% 32.66/33.00 inference(clausify,[status(thm)],[f_49_29]) ).
% 32.66/33.00
% 32.66/33.00 cnf(f_49_37, plain,
% 32.66/33.00 ( ~sP19(U_321, U_322) | visSomeExp(sK50(U_322, U_321)) ),
% 32.66/33.00 inference(clausify,[status(thm)],[f_49_29]) ).
% 32.66/33.00
% 32.66/33.00 cnf(f_49_38, plain,
% 32.66/33.00 ( ~sP19(U_321, U_322) | U_321 = vsomeExp(vapp(vabs(sK47(U_322, U_321), sK48(U_322, U_321), sK49(U_322, U_321)), vgetSomeExp(sK50(U_322, U_321)))) ),
% 32.66/33.00 inference(clausify,[status(thm)],[f_49_29]) ).
% 32.66/33.00
% 32.66/33.00 cnf(f_49_39, plain,
% 32.66/33.00 ( ~sP20(U_321, U_322) | ~visSomeExp(sK52(U_322, U_321)) ),
% 32.66/33.00 inference(clausify,[status(thm)],[f_49_29]) ).
% 32.66/33.00
% 32.66/33.00 cnf(f_49_40, plain,
% 32.66/33.00 ( ~sP20(U_321, U_322) | sK52(U_322, U_321) = vreduce(sK54(U_322, U_321)) ),
% 32.66/33.00 inference(clausify,[status(thm)],[f_49_29]) ).
% 32.66/33.00
% 32.66/33.00 cnf(f_49_41, plain,
% 32.66/33.00 ( ~sP20(U_321, U_322) | visValue(sK54(U_322, U_321)) ),
% 32.66/33.00 inference(clausify,[status(thm)],[f_49_29]) ).
% 32.66/33.00
% 32.66/33.00 cnf(f_49_42, plain,
% 32.66/33.00 ( ~sP20(U_321, U_322) | U_322 = vapp(vabs(sK53(U_322, U_321), sK51(U_322, U_321), sK55(U_322, U_321)), sK54(U_322, U_321)) ),
% 32.66/33.00 inference(clausify,[status(thm)],[f_49_29]) ).
% 32.66/33.00
% 32.66/33.00 cnf(f_49_43, plain,
% 32.66/33.00 ( ~sP20(U_321, U_322) | U_321 = vsomeExp(vsubst(sK53(U_322, U_321), sK54(U_322, U_321), sK55(U_322, U_321))) ),
% 32.66/33.00 inference(clausify,[status(thm)],[f_49_29]) ).
% 32.66/33.00
% 32.66/33.00 cnf(f_49_44, plain,
% 32.66/33.00 ( ~sP21(U_321, U_322) | U_321 = vnoExp ),
% 32.66/33.00 inference(clausify,[status(thm)],[f_49_29]) ).
% 32.66/33.00
% 32.66/33.00 cnf(f_49_45, plain,
% 32.66/33.00 ( ~sP21(U_321, U_322) | ~visSomeExp(sK59(U_322, U_321)) ),
% 32.66/33.00 inference(clausify,[status(thm)],[f_49_29]) ).
% 32.66/33.00
% 32.66/33.00 cnf(f_49_46, plain,
% 32.66/33.00 ( ~sP21(U_321, U_322) | U_322 = vapp(vabs(sK56(U_322, U_321), sK57(U_322, U_321), sK58(U_322, U_321)), sK60(U_322, U_321)) ),
% 32.66/33.00 inference(clausify,[status(thm)],[f_49_29]) ).
% 32.66/33.00
% 32.66/33.00 cnf(f_49_47, plain,
% 32.66/33.00 ( ~sP21(U_321, U_322) | sK59(U_322, U_321) = vreduce(sK60(U_322, U_321)) ),
% 32.66/33.00 inference(clausify,[status(thm)],[f_49_29]) ).
% 32.66/33.00
% 32.66/33.00 cnf(f_49_48, plain,
% 32.66/33.00 ( ~sP21(U_321, U_322) | ~visValue(sK60(U_322, U_321)) ),
% 32.66/33.00 inference(clausify,[status(thm)],[f_49_29]) ).
% 32.66/33.00
% 32.66/33.00 cnf(f_49_49, plain,
% 32.66/33.00 ( ~sP22(U_310, U_321, U_309, U_311, U_322) | sK61(U_322, U_321) != vabs(U_311, U_310, U_309) ),
% 32.66/33.00 inference(clausify,[status(thm)],[f_49_29]) ).
% 32.66/33.00
% 32.66/33.00 cnf(f_49_50, plain,
% 32.66/33.00 ( ~sP22(U_310, U_321, U_309, U_311, U_322) | sK62(U_322, U_321) = vreduce(sK61(U_322, U_321)) ),
% 32.66/33.00 inference(clausify,[status(thm)],[f_49_29]) ).
% 32.66/33.00
% 32.66/33.00 cnf(f_49_51, plain,
% 32.66/33.00 ( ~sP22(U_310, U_321, U_309, U_311, U_322) | visSomeExp(sK62(U_322, U_321)) ),
% 32.66/33.00 inference(clausify,[status(thm)],[f_49_29]) ).
% 32.66/33.00
% 32.66/33.00 cnf(f_49_52, plain,
% 32.66/33.00 ( ~sP22(U_310, U_321, U_309, U_311, U_322) | U_322 = vapp(sK61(U_322, U_321), sK63(U_322, U_321)) ),
% 32.66/33.00 inference(clausify,[status(thm)],[f_49_29]) ).
% 32.66/33.00
% 32.66/33.00 cnf(f_49_53, plain,
% 32.66/33.00 ( ~sP22(U_310, U_321, U_309, U_311, U_322) | U_321 = vsomeExp(vapp(vgetSomeExp(sK62(U_322, U_321)), sK63(U_322, U_321))) ),
% 32.66/33.00 inference(clausify,[status(thm)],[f_49_29]) ).
% 32.66/33.00
% 32.66/33.00 cnf(f_49_54, plain,
% 32.66/33.00 ( ~sP23(U_321, U_316, U_317, U_322, U_315) | U_321 = vnoExp ),
% 32.66/33.00 inference(clausify,[status(thm)],[f_49_29]) ).
% 32.66/33.00
% 32.66/33.00 cnf(f_49_55, plain,
% 32.66/33.00 ( ~sP23(U_321, U_316, U_317, U_322, U_315) | U_322 = vapp(sK65(U_322, U_321), sK64(U_322, U_321)) ),
% 32.66/33.00 inference(clausify,[status(thm)],[f_49_29]) ).
% 32.66/33.00
% 32.66/33.00 cnf(f_49_56, plain,
% 32.66/33.00 ( ~sP23(U_321, U_316, U_317, U_322, U_315) | sK65(U_322, U_321) != vabs(U_317, U_316, U_315) ),
% 32.66/33.00 inference(clausify,[status(thm)],[f_49_29]) ).
% 32.66/33.00
% 32.66/33.00 cnf(f_49_57, plain,
% 32.66/33.00 ( ~sP23(U_321, U_316, U_317, U_322, U_315) | sK66(U_322, U_321) = vreduce(sK65(U_322, U_321)) ),
% 32.66/33.00 inference(clausify,[status(thm)],[f_49_29]) ).
% 32.66/33.00
% 32.66/33.00 cnf(f_49_58, plain,
% 32.66/33.00 ( ~sP23(U_321, U_316, U_317, U_322, U_315) | ~visSomeExp(sK66(U_322, U_321)) ),
% 32.66/33.00 inference(clausify,[status(thm)],[f_49_29]) ).
% 32.66/33.00
% 32.66/33.00 fof(f_50_1, plain,
% 32.66/33.00 ! [ VTyp0,VTyp1,VTyp2,VTyp3 ] : ( ( ~( varrow(VTyp0, VTyp1) = varrow(VTyp2, VTyp3) ) | ( VTyp0 = VTyp2 & VTyp1 = VTyp3 ) ) & ( ( ~( VTyp0 = VTyp2 ) | ~( VTyp1 = VTyp3 ) ) | varrow(VTyp0, VTyp1) = varrow(VTyp2, VTyp3) ) ),
% 32.66/33.00 inference(fof_nnf,[status(thm)],[EQ-arrow]) ).
% 32.66/33.00
% 32.66/33.00 fof(f_50_2, plain,
% 32.66/33.00 ! [ U_326,U_325,U_324,U_323 ] : ( ( ~( varrow(U_326, U_325) = varrow(U_324, U_323) ) | ( U_326 = U_324 & U_325 = U_323 ) ) & ( ( ~( U_326 = U_324 ) | ~( U_325 = U_323 ) ) | varrow(U_326, U_325) = varrow(U_324, U_323) ) ),
% 32.66/33.00 inference(variable_rename,[status(thm)],[f_50_1]) ).
% 32.66/33.00
% 32.66/33.00 fof(f_50_3, plain,
% 32.66/33.00 ( ! [ U_333,U_331,U_329,U_327 ] : ( ~( varrow(U_333, U_331) = varrow(U_329, U_327) ) | ( U_333 = U_329 & U_331 = U_327 ) ) & ! [ U_334,U_332,U_330,U_328 ] : ( ( ~( U_334 = U_330 ) | ~( U_332 = U_328 ) ) | varrow(U_334, U_332) = varrow(U_330, U_328) ) ),
% 32.66/33.00 inference(miniscope,[status(thm)],[f_50_2]) ).
% 32.66/33.00
% 32.66/33.00 fof(f_50_4, plain,
% 32.66/33.00 ( ( ! [U_333, U_331, U_327, U_329] : ( varrow(U_333, U_331) != varrow(U_329, U_327) | sP24(U_333, U_331, U_327, U_329) ) ) & ( ! [U_328, U_330, U_332, U_334] : ( U_334 != U_330 | U_332 != U_328 | varrow(U_334, U_332) = varrow(U_330, U_328) ) ) & ( ! [U_333, U_331, U_327, U_329] : ( ~sP24(U_333, U_331, U_327, U_329) | U_333 = U_329 ) ) & ( ! [U_333, U_331, U_327, U_329] : ( ~sP24(U_333, U_331, U_327, U_329) | U_331 = U_327 ) ) ),
% 32.66/33.00 inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP24])],[f_50_3]) ).
% 32.66/33.00
% 32.66/33.00 cnf(f_50_5, plain,
% 32.66/33.00 ( varrow(U_333, U_331) != varrow(U_329, U_327) | sP24(U_333, U_331, U_327, U_329) ),
% 32.66/33.00 inference(clausify,[status(thm)],[f_50_4]) ).
% 32.66/33.00
% 32.66/33.00 cnf(f_50_6, plain,
% 32.66/33.00 ( U_334 != U_330 | U_332 != U_328 | varrow(U_334, U_332) = varrow(U_330, U_328) ),
% 32.66/33.00 inference(clausify,[status(thm)],[f_50_4]) ).
% 32.66/33.00
% 32.66/33.00 cnf(f_50_7, plain,
% 32.66/33.00 ( ~sP24(U_333, U_331, U_327, U_329) | U_333 = U_329 ),
% 32.66/33.00 inference(clausify,[status(thm)],[f_50_4]) ).
% 32.66/33.00
% 32.66/33.00 cnf(f_50_8, plain,
% 32.66/33.00 ( ~sP24(U_333, U_331, U_327, U_329) | U_331 = U_327 ),
% 32.66/33.00 inference(clausify,[status(thm)],[f_50_4]) ).
% 32.66/33.00
% 32.66/33.00 fof(f_51_1, plain,
% 32.66/33.00 ! [ VC,Vx,VT ] : ( ~( vlookup(Vx, VC) = vsomeType(VT) ) | vtcheck(VC, vvar(Vx), VT) ),
% 32.66/33.00 inference(fof_nnf,[status(thm)],[T-var]) ).
% 32.66/33.00
% 32.66/33.00 fof(f_51_2, plain,
% 32.66/33.00 ! [ U_337,U_336,U_335 ] : ( ~( vlookup(U_336, U_337) = vsomeType(U_335) ) | vtcheck(U_337, vvar(U_336), U_335) ),
% 32.66/33.00 inference(variable_rename,[status(thm)],[f_51_1]) ).
% 32.66/33.00
% 32.66/33.00 fof(f_51_3, plain,
% 32.66/33.00 ( ( ! [U_335, U_337, U_336] : ( vlookup(U_336, U_337) != vsomeType(U_335) | vtcheck(U_337, vvar(U_336), U_335) ) ) ),
% 32.66/33.00 inference(definitional_conversion,[status(esa)],[f_51_2]) ).
% 32.66/33.00
% 32.66/33.00 cnf(f_51_4, plain,
% 32.66/33.00 ( vlookup(U_336, U_337) != vsomeType(U_335) | vtcheck(U_337, vvar(U_336), U_335) ),
% 32.66/33.00 inference(clausify,[status(thm)],[f_51_3]) ).
% 32.66/33.00
% 32.66/33.00 fof(f_52_1, plain,
% 32.66/33.00 ! [ VC,Vx,Ve,VS,VT ] : ( ~( vtcheck(vbind(Vx, VS, VC), Ve, VT) ) | vtcheck(VC, vabs(Vx, VS, Ve), varrow(VS, VT)) ),
% 32.66/33.01 inference(fof_nnf,[status(thm)],[T-abs]) ).
% 32.66/33.01
% 32.66/33.01 fof(f_52_2, plain,
% 32.66/33.01 ! [ U_342,U_341,U_340,U_339,U_338 ] : ( ~( vtcheck(vbind(U_341, U_339, U_342), U_340, U_338) ) | vtcheck(U_342, vabs(U_341, U_339, U_340), varrow(U_339, U_338)) ),
% 32.66/33.01 inference(variable_rename,[status(thm)],[f_52_1]) ).
% 32.66/33.01
% 32.66/33.01 fof(f_52_3, plain,
% 32.66/33.01 ( ( ! [U_340, U_342, U_339, U_338, U_341] : ( ~vtcheck(vbind(U_341, U_339, U_342), U_340, U_338) | vtcheck(U_342, vabs(U_341, U_339, U_340), varrow(U_339, U_338)) ) ) ),
% 32.66/33.01 inference(definitional_conversion,[status(esa)],[f_52_2]) ).
% 32.66/33.01
% 32.66/33.01 cnf(f_52_4, plain,
% 32.66/33.01 ( ~vtcheck(vbind(U_341, U_339, U_342), U_340, U_338) | vtcheck(U_342, vabs(U_341, U_339, U_340), varrow(U_339, U_338)) ),
% 32.66/33.01 inference(clausify,[status(thm)],[f_52_3]) ).
% 32.66/33.01
% 32.66/33.01 fof(f_53_1, plain,
% 32.66/33.01 ! [ VS,VC,Ve1,Ve2,VT ] : ( ( ~( vtcheck(VC, Ve1, varrow(VS, VT)) ) | ~( vtcheck(VC, Ve2, VS) ) ) | vtcheck(VC, vapp(Ve1, Ve2), VT) ),
% 32.66/33.01 inference(fof_nnf,[status(thm)],[T-app]) ).
% 32.66/33.01
% 32.66/33.01 fof(f_53_2, plain,
% 32.66/33.01 ! [ U_347,U_346,U_345,U_344,U_343 ] : ( ( ~( vtcheck(U_346, U_345, varrow(U_347, U_343)) ) | ~( vtcheck(U_346, U_344, U_347) ) ) | vtcheck(U_346, vapp(U_345, U_344), U_343) ),
% 32.66/33.01 inference(variable_rename,[status(thm)],[f_53_1]) ).
% 32.66/33.01
% 32.66/33.01 fof(f_53_3, plain,
% 32.66/33.01 ( ( ! [U_345, U_344, U_343, U_347, U_346] : ( ~vtcheck(U_346, U_345, varrow(U_347, U_343)) | ~vtcheck(U_346, U_344, U_347) | vtcheck(U_346, vapp(U_345, U_344), U_343) ) ) ),
% 32.66/33.01 inference(definitional_conversion,[status(esa)],[f_53_2]) ).
% 32.66/33.01
% 32.66/33.01 cnf(f_53_4, plain,
% 32.66/33.01 ( ~vtcheck(U_346, U_345, varrow(U_347, U_343)) | ~vtcheck(U_346, U_344, U_347) | vtcheck(U_346, vapp(U_345, U_344), U_343) ),
% 32.66/33.01 inference(clausify,[status(thm)],[f_53_3]) ).
% 32.66/33.01
% 32.66/33.01 fof(f_54_1, plain,
% 32.66/33.01 ! [ Ve,VT,VC ] : ( ~( vtcheck(VC, Ve, VT) ) | ( ? [ Vx ] : ( Ve = vvar(Vx) & vlookup(Vx, VC) = vsomeType(VT) ) | ? [ Vx,Ve2,VT1,VT2 ] : ( Ve = vabs(Vx, VT1, Ve2) & VT = varrow(VT1, VT2) & vtcheck(vbind(Vx, VT1, VC), Ve2, VT2) ) | ? [ Ve1,Ve2,VS ] : ( Ve = vapp(Ve1, Ve2) & vtcheck(VC, Ve1, varrow(VS, VT)) & vtcheck(VC, Ve2, VS) ) ) ),
% 32.66/33.01 inference(fof_nnf,[status(thm)],[T-inv]) ).
% 32.66/33.01
% 32.66/33.01 fof(f_54_2, plain,
% 32.66/33.01 ! [ U_358,U_357,U_356 ] : ( ~( vtcheck(U_356, U_358, U_357) ) | ( ? [ U_348 ] : ( U_358 = vvar(U_348) & vlookup(U_348, U_356) = vsomeType(U_357) ) | ? [ U_352,U_351,U_350,U_349 ] : ( U_358 = vabs(U_352, U_350, U_351) & U_357 = varrow(U_350, U_349) & vtcheck(vbind(U_352, U_350, U_356), U_351, U_349) ) | ? [ U_355,U_354,U_353 ] : ( U_358 = vapp(U_355, U_354) & vtcheck(U_356, U_355, varrow(U_353, U_357)) & vtcheck(U_356, U_354, U_353) ) ) ),
% 32.66/33.01 inference(variable_rename,[status(thm)],[f_54_1]) ).
% 32.66/33.01
% 32.66/33.01 fof(f_54_3, plain,
% 32.66/33.01 ! [ U_358,U_357,U_356 ] : ( ~( vtcheck(U_356, U_358, U_357) ) | ( ? [ U_348 ] : ( U_358 = vvar(U_348) & vlookup(U_348, U_356) = vsomeType(U_357) ) | ? [ U_352,U_351,U_350 ] : ( U_358 = vabs(U_352, U_350, U_351) & ? [ U_349 ] : ( U_357 = varrow(U_350, U_349) & vtcheck(vbind(U_352, U_350, U_356), U_351, U_349) ) ) | ? [ U_355,U_354 ] : ( U_358 = vapp(U_355, U_354) & ? [ U_353 ] : ( vtcheck(U_356, U_355, varrow(U_353, U_357)) & vtcheck(U_356, U_354, U_353) ) ) ) ),
% 32.66/33.01 inference(miniscope,[status(thm)],[f_54_2]) ).
% 32.66/33.01
% 32.66/33.01 fof(f_54_4, plain,
% 32.66/33.01 ! [ U_358,U_357,U_356 ] : ( ~( vtcheck(U_356, U_358, U_357) ) | ( ( U_358 = vvar(sK67(U_358, U_357, U_356)) & vlookup(sK67(U_358, U_357, U_356), U_356) = vsomeType(U_357) ) | ? [ U_352,U_351,U_350 ] : ( U_358 = vabs(U_352, U_350, U_351) & ? [ U_349 ] : ( U_357 = varrow(U_350, U_349) & vtcheck(vbind(U_352, U_350, U_356), U_351, U_349) ) ) | ? [ U_355,U_354 ] : ( U_358 = vapp(U_355, U_354) & ? [ U_353 ] : ( vtcheck(U_356, U_355, varrow(U_353, U_357)) & vtcheck(U_356, U_354, U_353) ) ) ) ),
% 32.66/33.01 inference(skolemize,[status(esa),new_symbols(skolem,[sK67]),skolemize(U_348,sK67(U_358, U_357, U_356))],[f_54_3]) ).
% 32.66/33.01
% 32.66/33.01 fof(f_54_5, plain,
% 32.66/33.01 ! [ U_358,U_357,U_356 ] : ( ~( vtcheck(U_356, U_358, U_357) ) | ( ( U_358 = vvar(sK67(U_358, U_357, U_356)) & vlookup(sK67(U_358, U_357, U_356), U_356) = vsomeType(U_357) ) | ? [ U_351,U_350 ] : ( U_358 = vabs(sK68(U_358, U_357, U_356), U_350, U_351) & ? [ U_349 ] : ( U_357 = varrow(U_350, U_349) & vtcheck(vbind(sK68(U_358, U_357, U_356), U_350, U_356), U_351, U_349) ) ) | ? [ U_355,U_354 ] : ( U_358 = vapp(U_355, U_354) & ? [ U_353 ] : ( vtcheck(U_356, U_355, varrow(U_353, U_357)) & vtcheck(U_356, U_354, U_353) ) ) ) ),
% 32.66/33.01 inference(skolemize,[status(esa),new_symbols(skolem,[sK68]),skolemize(U_352,sK68(U_358, U_357, U_356))],[f_54_4]) ).
% 32.66/33.01
% 32.66/33.01 fof(f_54_6, plain,
% 32.66/33.01 ! [ U_358,U_357,U_356 ] : ( ~( vtcheck(U_356, U_358, U_357) ) | ( ( U_358 = vvar(sK67(U_358, U_357, U_356)) & vlookup(sK67(U_358, U_357, U_356), U_356) = vsomeType(U_357) ) | ? [ U_350 ] : ( U_358 = vabs(sK68(U_358, U_357, U_356), U_350, sK69(U_358, U_357, U_356)) & ? [ U_349 ] : ( U_357 = varrow(U_350, U_349) & vtcheck(vbind(sK68(U_358, U_357, U_356), U_350, U_356), sK69(U_358, U_357, U_356), U_349) ) ) | ? [ U_355,U_354 ] : ( U_358 = vapp(U_355, U_354) & ? [ U_353 ] : ( vtcheck(U_356, U_355, varrow(U_353, U_357)) & vtcheck(U_356, U_354, U_353) ) ) ) ),
% 32.66/33.01 inference(skolemize,[status(esa),new_symbols(skolem,[sK69]),skolemize(U_351,sK69(U_358, U_357, U_356))],[f_54_5]) ).
% 32.66/33.01
% 32.66/33.01 fof(f_54_7, plain,
% 32.66/33.01 ! [ U_358,U_357,U_356 ] : ( ~( vtcheck(U_356, U_358, U_357) ) | ( ( U_358 = vvar(sK67(U_358, U_357, U_356)) & vlookup(sK67(U_358, U_357, U_356), U_356) = vsomeType(U_357) ) | ( U_358 = vabs(sK68(U_358, U_357, U_356), sK70(U_358, U_357, U_356), sK69(U_358, U_357, U_356)) & ? [ U_349 ] : ( U_357 = varrow(sK70(U_358, U_357, U_356), U_349) & vtcheck(vbind(sK68(U_358, U_357, U_356), sK70(U_358, U_357, U_356), U_356), sK69(U_358, U_357, U_356), U_349) ) ) | ? [ U_355,U_354 ] : ( U_358 = vapp(U_355, U_354) & ? [ U_353 ] : ( vtcheck(U_356, U_355, varrow(U_353, U_357)) & vtcheck(U_356, U_354, U_353) ) ) ) ),
% 32.66/33.01 inference(skolemize,[status(esa),new_symbols(skolem,[sK70]),skolemize(U_350,sK70(U_358, U_357, U_356))],[f_54_6]) ).
% 32.66/33.01
% 32.66/33.01 fof(f_54_8, plain,
% 32.66/33.01 ! [ U_358,U_357,U_356 ] : ( ~( vtcheck(U_356, U_358, U_357) ) | ( ( U_358 = vvar(sK67(U_358, U_357, U_356)) & vlookup(sK67(U_358, U_357, U_356), U_356) = vsomeType(U_357) ) | ( U_358 = vabs(sK68(U_358, U_357, U_356), sK70(U_358, U_357, U_356), sK69(U_358, U_357, U_356)) & ( U_357 = varrow(sK70(U_358, U_357, U_356), sK71(U_358, U_357, U_356)) & vtcheck(vbind(sK68(U_358, U_357, U_356), sK70(U_358, U_357, U_356), U_356), sK69(U_358, U_357, U_356), sK71(U_358, U_357, U_356)) ) ) | ? [ U_355,U_354 ] : ( U_358 = vapp(U_355, U_354) & ? [ U_353 ] : ( vtcheck(U_356, U_355, varrow(U_353, U_357)) & vtcheck(U_356, U_354, U_353) ) ) ) ),
% 32.66/33.01 inference(skolemize,[status(esa),new_symbols(skolem,[sK71]),skolemize(U_349,sK71(U_358, U_357, U_356))],[f_54_7]) ).
% 32.66/33.01
% 32.66/33.01 fof(f_54_9, plain,
% 32.66/33.01 ! [ U_358,U_357,U_356 ] : ( ~( vtcheck(U_356, U_358, U_357) ) | ( ( U_358 = vvar(sK67(U_358, U_357, U_356)) & vlookup(sK67(U_358, U_357, U_356), U_356) = vsomeType(U_357) ) | ( U_358 = vabs(sK68(U_358, U_357, U_356), sK70(U_358, U_357, U_356), sK69(U_358, U_357, U_356)) & ( U_357 = varrow(sK70(U_358, U_357, U_356), sK71(U_358, U_357, U_356)) & vtcheck(vbind(sK68(U_358, U_357, U_356), sK70(U_358, U_357, U_356), U_356), sK69(U_358, U_357, U_356), sK71(U_358, U_357, U_356)) ) ) | ? [ U_354 ] : ( U_358 = vapp(sK72(U_358, U_357, U_356), U_354) & ? [ U_353 ] : ( vtcheck(U_356, sK72(U_358, U_357, U_356), varrow(U_353, U_357)) & vtcheck(U_356, U_354, U_353) ) ) ) ),
% 32.66/33.01 inference(skolemize,[status(esa),new_symbols(skolem,[sK72]),skolemize(U_355,sK72(U_358, U_357, U_356))],[f_54_8]) ).
% 32.66/33.01
% 32.66/33.01 fof(f_54_10, plain,
% 32.66/33.01 ! [ U_358,U_357,U_356 ] : ( ~( vtcheck(U_356, U_358, U_357) ) | ( ( U_358 = vvar(sK67(U_358, U_357, U_356)) & vlookup(sK67(U_358, U_357, U_356), U_356) = vsomeType(U_357) ) | ( U_358 = vabs(sK68(U_358, U_357, U_356), sK70(U_358, U_357, U_356), sK69(U_358, U_357, U_356)) & ( U_357 = varrow(sK70(U_358, U_357, U_356), sK71(U_358, U_357, U_356)) & vtcheck(vbind(sK68(U_358, U_357, U_356), sK70(U_358, U_357, U_356), U_356), sK69(U_358, U_357, U_356), sK71(U_358, U_357, U_356)) ) ) | ( U_358 = vapp(sK72(U_358, U_357, U_356), sK73(U_358, U_357, U_356)) & ? [ U_353 ] : ( vtcheck(U_356, sK72(U_358, U_357, U_356), varrow(U_353, U_357)) & vtcheck(U_356, sK73(U_358, U_357, U_356), U_353) ) ) ) ),
% 32.66/33.01 inference(skolemize,[status(esa),new_symbols(skolem,[sK73]),skolemize(U_354,sK73(U_358, U_357, U_356))],[f_54_9]) ).
% 32.66/33.01
% 32.66/33.01 fof(f_54_11, plain,
% 32.66/33.01 ! [ U_358,U_357,U_356 ] : ( ~( vtcheck(U_356, U_358, U_357) ) | ( ( U_358 = vvar(sK67(U_358, U_357, U_356)) & vlookup(sK67(U_358, U_357, U_356), U_356) = vsomeType(U_357) ) | ( U_358 = vabs(sK68(U_358, U_357, U_356), sK70(U_358, U_357, U_356), sK69(U_358, U_357, U_356)) & ( U_357 = varrow(sK70(U_358, U_357, U_356), sK71(U_358, U_357, U_356)) & vtcheck(vbind(sK68(U_358, U_357, U_356), sK70(U_358, U_357, U_356), U_356), sK69(U_358, U_357, U_356), sK71(U_358, U_357, U_356)) ) ) | ( U_358 = vapp(sK72(U_358, U_357, U_356), sK73(U_358, U_357, U_356)) & ( vtcheck(U_356, sK72(U_358, U_357, U_356), varrow(sK74(U_358, U_357, U_356), U_357)) & vtcheck(U_356, sK73(U_358, U_357, U_356), sK74(U_358, U_357, U_356)) ) ) ) ),
% 32.66/33.01 inference(skolemize,[status(esa),new_symbols(skolem,[sK74]),skolemize(U_353,sK74(U_358, U_357, U_356))],[f_54_10]) ).
% 32.66/33.01
% 32.66/33.01 fof(f_54_12, plain,
% 32.66/33.01 ( ( ! [U_358, U_356, U_357] : ( ~vtcheck(U_356, U_358, U_357) | sP25(U_358, U_356, U_357) | sP26(U_358, U_356, U_357) | sP27(U_358, U_356, U_357) ) ) & ( ! [U_358, U_356, U_357] : ( ~sP25(U_358, U_356, U_357) | U_358 = vvar(sK67(U_358, U_357, U_356)) ) ) & ( ! [U_358, U_356, U_357] : ( ~sP25(U_358, U_356, U_357) | vlookup(sK67(U_358, U_357, U_356), U_356) = vsomeType(U_357) ) ) & ( ! [U_358, U_356, U_357] : ( ~sP26(U_358, U_356, U_357) | U_358 = vabs(sK68(U_358, U_357, U_356), sK70(U_358, U_357, U_356), sK69(U_358, U_357, U_356)) ) ) & ( ! [U_358, U_356, U_357] : ( ~sP26(U_358, U_356, U_357) | U_357 = varrow(sK70(U_358, U_357, U_356), sK71(U_358, U_357, U_356)) ) ) & ( ! [U_358, U_356, U_357] : ( ~sP26(U_358, U_356, U_357) | vtcheck(vbind(sK68(U_358, U_357, U_356), sK70(U_358, U_357, U_356), U_356), sK69(U_358, U_357, U_356), sK71(U_358, U_357, U_356)) ) ) & ( ! [U_358, U_356, U_357] : ( ~sP27(U_358, U_356, U_357) | U_358 = vapp(sK72(U_358, U_357, U_356), sK73(U_358, U_357, U_356)) ) ) & ( ! [U_358, U_356, U_357] : ( ~sP27(U_358, U_356, U_357) | vtcheck(U_356, sK72(U_358, U_357, U_356), varrow(sK74(U_358, U_357, U_356), U_357)) ) ) & ( ! [U_358, U_356, U_357] : ( ~sP27(U_358, U_356, U_357) | vtcheck(U_356, sK73(U_358, U_357, U_356), sK74(U_358, U_357, U_356)) ) ) ),
% 32.66/33.01 inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP25, sP26, sP27])],[f_54_11]) ).
% 32.66/33.01
% 32.66/33.01 cnf(f_54_13, plain,
% 32.66/33.01 ( ~vtcheck(U_356, U_358, U_357) | sP25(U_358, U_356, U_357) | sP26(U_358, U_356, U_357) | sP27(U_358, U_356, U_357) ),
% 32.66/33.01 inference(clausify,[status(thm)],[f_54_12]) ).
% 32.66/33.01
% 32.66/33.01 cnf(f_54_14, plain,
% 32.66/33.01 ( ~sP25(U_358, U_356, U_357) | U_358 = vvar(sK67(U_358, U_357, U_356)) ),
% 32.66/33.01 inference(clausify,[status(thm)],[f_54_12]) ).
% 32.66/33.01
% 32.66/33.01 cnf(f_54_15, plain,
% 32.66/33.01 ( ~sP25(U_358, U_356, U_357) | vlookup(sK67(U_358, U_357, U_356), U_356) = vsomeType(U_357) ),
% 32.66/33.01 inference(clausify,[status(thm)],[f_54_12]) ).
% 32.66/33.01
% 32.66/33.01 cnf(f_54_16, plain,
% 32.66/33.01 ( ~sP26(U_358, U_356, U_357) | U_358 = vabs(sK68(U_358, U_357, U_356), sK70(U_358, U_357, U_356), sK69(U_358, U_357, U_356)) ),
% 32.66/33.01 inference(clausify,[status(thm)],[f_54_12]) ).
% 32.66/33.01
% 32.66/33.01 cnf(f_54_17, plain,
% 32.66/33.01 ( ~sP26(U_358, U_356, U_357) | U_357 = varrow(sK70(U_358, U_357, U_356), sK71(U_358, U_357, U_356)) ),
% 32.66/33.01 inference(clausify,[status(thm)],[f_54_12]) ).
% 32.66/33.01
% 32.66/33.01 cnf(f_54_18, plain,
% 32.66/33.01 ( ~sP26(U_358, U_356, U_357) | vtcheck(vbind(sK68(U_358, U_357, U_356), sK70(U_358, U_357, U_356), U_356), sK69(U_358, U_357, U_356), sK71(U_358, U_357, U_356)) ),
% 32.66/33.01 inference(clausify,[status(thm)],[f_54_12]) ).
% 32.66/33.01
% 32.66/33.01 cnf(f_54_19, plain,
% 32.66/33.01 ( ~sP27(U_358, U_356, U_357) | U_358 = vapp(sK72(U_358, U_357, U_356), sK73(U_358, U_357, U_356)) ),
% 32.66/33.01 inference(clausify,[status(thm)],[f_54_12]) ).
% 32.66/33.01
% 32.66/33.01 cnf(f_54_20, plain,
% 32.66/33.01 ( ~sP27(U_358, U_356, U_357) | vtcheck(U_356, sK72(U_358, U_357, U_356), varrow(sK74(U_358, U_357, U_356), U_357)) ),
% 32.66/33.01 inference(clausify,[status(thm)],[f_54_12]) ).
% 32.66/33.01
% 32.66/33.01 cnf(f_54_21, plain,
% 32.66/33.01 ( ~sP27(U_358, U_356, U_357) | vtcheck(U_356, sK73(U_358, U_357, U_356), sK74(U_358, U_357, U_356)) ),
% 32.66/33.01 inference(clausify,[status(thm)],[f_54_12]) ).
% 32.66/33.01
% 32.66/33.01 fof(f_55_1, plain,
% 32.66/33.01 ! [ Vx,VS,VC,Ve,VT ] : ( ( ~( vlookup(Vx, VC) = vnoType ) | ~( vtcheck(VC, Ve, VT) ) ) | vtcheck(vbind(Vx, VS, VC), Ve, VT) ),
% 32.66/33.01 inference(fof_nnf,[status(thm)],[T-Weak]) ).
% 32.66/33.01
% 32.66/33.01 fof(f_55_2, plain,
% 32.66/33.01 ! [ U_363,U_362,U_361,U_360,U_359 ] : ( ( ~( vlookup(U_363, U_361) = vnoType ) | ~( vtcheck(U_361, U_360, U_359) ) ) | vtcheck(vbind(U_363, U_362, U_361), U_360, U_359) ),
% 32.66/33.01 inference(variable_rename,[status(thm)],[f_55_1]) ).
% 32.66/33.01
% 32.66/33.01 fof(f_55_3, plain,
% 32.66/33.01 ( ( ! [U_361, U_362, U_360, U_359, U_363] : ( vlookup(U_363, U_361) != vnoType | ~vtcheck(U_361, U_360, U_359) | vtcheck(vbind(U_363, U_362, U_361), U_360, U_359) ) ) ),
% 32.66/33.01 inference(definitional_conversion,[status(esa)],[f_55_2]) ).
% 32.66/33.01
% 32.66/33.01 cnf(f_55_4, plain,
% 32.66/33.01 ( vlookup(U_363, U_361) != vnoType | ~vtcheck(U_361, U_360, U_359) | vtcheck(vbind(U_363, U_362, U_361), U_360, U_359) ),
% 32.66/33.01 inference(clausify,[status(thm)],[f_55_3]) ).
% 32.66/33.01
% 32.66/33.01 fof(f_56_1, plain,
% 32.66/33.01 ! [ Vx,VS,VC,Ve,VT ] : ( ( visFreeVar(Vx, Ve) | ~( vtcheck(vbind(Vx, VS, VC), Ve, VT) ) ) | vtcheck(VC, Ve, VT) ),
% 32.66/33.01 inference(fof_nnf,[status(thm)],[T-Strong]) ).
% 32.66/33.01
% 32.66/33.01 fof(f_56_2, plain,
% 32.66/33.01 ! [ U_368,U_367,U_366,U_365,U_364 ] : ( ( visFreeVar(U_368, U_365) | ~( vtcheck(vbind(U_368, U_367, U_366), U_365, U_364) ) ) | vtcheck(U_366, U_365, U_364) ),
% 32.66/33.01 inference(variable_rename,[status(thm)],[f_56_1]) ).
% 32.66/33.01
% 32.66/33.01 fof(f_56_3, plain,
% 32.66/33.01 ( ( ! [U_365, U_366, U_364, U_368, U_367] : ( visFreeVar(U_368, U_365) | ~vtcheck(vbind(U_368, U_367, U_366), U_365, U_364) | vtcheck(U_366, U_365, U_364) ) ) ),
% 32.66/33.01 inference(definitional_conversion,[status(esa)],[f_56_2]) ).
% 32.66/33.01
% 32.66/33.01 cnf(f_56_4, plain,
% 32.66/33.01 ( visFreeVar(U_368, U_365) | ~vtcheck(vbind(U_368, U_367, U_366), U_365, U_364) | vtcheck(U_366, U_365, U_364) ),
% 32.66/33.01 inference(clausify,[status(thm)],[f_56_3]) ).
% 32.66/33.01
% 32.66/33.01 fof(f_57_1, plain,
% 32.66/33.01 ! [ Vx,VS,VC,VT ] : ( ( visFreeVar(Vx, veabs) | ~( vtcheck(VC, veabs, VT) ) ) | vtcheck(vbind(Vx, VS, VC), veabs, VT) ),
% 32.66/33.01 inference(fof_nnf,[status(thm)],[T-Weak-FreeVar-abs-IH]) ).
% 32.66/33.01
% 32.66/33.01 fof(f_57_2, plain,
% 32.66/33.01 ! [ U_372,U_371,U_370,U_369 ] : ( ( visFreeVar(U_372, veabs) | ~( vtcheck(U_370, veabs, U_369) ) ) | vtcheck(vbind(U_372, U_371, U_370), veabs, U_369) ),
% 32.66/33.01 inference(variable_rename,[status(thm)],[f_57_1]) ).
% 32.66/33.01
% 32.66/33.01 fof(f_57_3, plain,
% 32.66/33.01 ( ( ! [U_369, U_370, U_371, U_372] : ( visFreeVar(U_372, veabs) | ~vtcheck(U_370, veabs, U_369) | vtcheck(vbind(U_372, U_371, U_370), veabs, U_369) ) ) ),
% 32.66/33.01 inference(definitional_conversion,[status(esa)],[f_57_2]) ).
% 32.66/33.01
% 32.66/33.01 cnf(f_57_4, plain,
% 32.66/33.01 ( visFreeVar(U_372, veabs) | ~vtcheck(U_370, veabs, U_369) | vtcheck(vbind(U_372, U_371, U_370), veabs, U_369) ),
% 32.66/33.01 inference(clausify,[status(thm)],[f_57_3]) ).
% 32.66/33.01
% 32.66/33.01 fof(f_58_1, plain,
% 32.66/33.01 ! [ Vx,VS,VC,Vy,VS1,VT ] : ( ( Vx = Vy | visFreeVar(Vx, vabs(Vy, VS1, veabs)) | ~( vtcheck(VC, vabs(Vy, VS1, veabs), VT) ) ) | vtcheck(vbind(Vx, VS, VC), vabs(Vy, VS1, veabs), VT) ),
% 32.66/33.01 inference(fof_nnf,[status(thm)],[T-Weak-FreeVar-abs-1]) ).
% 32.66/33.01
% 32.66/33.01 fof(f_58_2, plain,
% 32.66/33.01 ! [ U_378,U_377,U_376,U_375,U_374,U_373 ] : ( ( U_378 = U_375 | visFreeVar(U_378, vabs(U_375, U_374, veabs)) | ~( vtcheck(U_376, vabs(U_375, U_374, veabs), U_373) ) ) | vtcheck(vbind(U_378, U_377, U_376), vabs(U_375, U_374, veabs), U_373) ),
% 32.66/33.01 inference(variable_rename,[status(thm)],[f_58_1]) ).
% 32.66/33.01
% 32.66/33.01 fof(f_58_3, plain,
% 32.66/33.01 ( ( ! [U_375, U_376, U_378, U_374, U_373, U_377] : ( U_378 = U_375 | visFreeVar(U_378, vabs(U_375, U_374, veabs)) | ~vtcheck(U_376, vabs(U_375, U_374, veabs), U_373) | vtcheck(vbind(U_378, U_377, U_376), vabs(U_375, U_374, veabs), U_373) ) ) ),
% 32.66/33.01 inference(definitional_conversion,[status(esa)],[f_58_2]) ).
% 32.66/33.01
% 32.66/33.01 cnf(f_58_4, plain,
% 32.66/33.01 ( U_378 = U_375 | visFreeVar(U_378, vabs(U_375, U_374, veabs)) | ~vtcheck(U_376, vabs(U_375, U_374, veabs), U_373) | vtcheck(vbind(U_378, U_377, U_376), vabs(U_375, U_374, veabs), U_373) ),
% 32.66/33.01 inference(clausify,[status(thm)],[f_58_3]) ).
% 32.66/33.01
% 32.66/33.01 fof(f_59_1, plain,
% 32.66/33.01 ! [ Vx,VS,VC,Vy,VS1,VT ] : ( ( ~( Vx = Vy ) | visFreeVar(Vx, vabs(Vy, VS1, veabs)) | ~( vtcheck(VC, vabs(Vy, VS1, veabs), VT) ) ) | vtcheck(vbind(Vx, VS, VC), vabs(Vy, VS1, veabs), VT) ),
% 32.66/33.01 inference(fof_nnf,[status(thm)],[T-Weak-FreeVar-abs-2]) ).
% 32.66/33.01
% 32.66/33.01 fof(f_59_2, plain,
% 32.66/33.01 ! [ U_384,U_383,U_382,U_381,U_380,U_379 ] : ( ( ~( U_384 = U_381 ) | visFreeVar(U_384, vabs(U_381, U_380, veabs)) | ~( vtcheck(U_382, vabs(U_381, U_380, veabs), U_379) ) ) | vtcheck(vbind(U_384, U_383, U_382), vabs(U_381, U_380, veabs), U_379) ),
% 32.66/33.01 inference(variable_rename,[status(thm)],[f_59_1]) ).
% 32.66/33.01
% 32.66/33.01 fof(f_59_3, plain,
% 32.66/33.01 ( ( ! [U_383, U_384, U_381, U_379, U_380, U_382] : ( U_384 != U_381 | visFreeVar(U_384, vabs(U_381, U_380, veabs)) | ~vtcheck(U_382, vabs(U_381, U_380, veabs), U_379) | vtcheck(vbind(U_384, U_383, U_382), vabs(U_381, U_380, veabs), U_379) ) ) ),
% 32.66/33.01 inference(definitional_conversion,[status(esa)],[f_59_2]) ).
% 32.66/33.01
% 32.66/33.01 cnf(f_59_4, plain,
% 32.66/33.01 ( U_384 != U_381 | visFreeVar(U_384, vabs(U_381, U_380, veabs)) | ~vtcheck(U_382, vabs(U_381, U_380, veabs), U_379) | vtcheck(vbind(U_384, U_383, U_382), vabs(U_381, U_380, veabs), U_379) ),
% 32.66/33.01 inference(clausify,[status(thm)],[f_59_3]) ).
% 32.66/33.01
% 32.66/33.01 fof(f_60_1, negated_conjecture,
% 32.66/33.01 ~( ! [ Vx,VS,VC,Vy,VS1,VT ] : ( ( ~( visFreeVar(Vx, vabs(Vy, VS1, veabs)) ) & vtcheck(VC, vabs(Vy, VS1, veabs), VT) ) => vtcheck(vbind(Vx, VS, VC), vabs(Vy, VS1, veabs), VT) ) ),
% 32.66/33.01 inference(negate,[status(cth)],[T-Weak-FreeVar-abs]) ).
% 32.66/33.01
% 32.66/33.01 fof(f_60_2, negated_conjecture,
% 32.66/33.01 ? [ Vx,VS,VC,Vy,VS1,VT ] : ( ( ~( visFreeVar(Vx, vabs(Vy, VS1, veabs)) ) & vtcheck(VC, vabs(Vy, VS1, veabs), VT) ) & ~( vtcheck(vbind(Vx, VS, VC), vabs(Vy, VS1, veabs), VT) ) ),
% 32.66/33.01 inference(fof_nnf,[status(thm)],[f_60_1]) ).
% 32.66/33.01
% 32.66/33.01 fof(f_60_3, negated_conjecture,
% 32.66/33.01 ? [ U_390,U_389,U_388,U_387,U_386,U_385 ] : ( ( ~( visFreeVar(U_390, vabs(U_387, U_386, veabs)) ) & vtcheck(U_388, vabs(U_387, U_386, veabs), U_385) ) & ~( vtcheck(vbind(U_390, U_389, U_388), vabs(U_387, U_386, veabs), U_385) ) ),
% 32.66/33.01 inference(variable_rename,[status(thm)],[f_60_2]) ).
% 32.66/33.01
% 32.66/33.01 fof(f_60_4, negated_conjecture,
% 32.66/33.01 ? [ U_389,U_388,U_387,U_386,U_385 ] : ( ( ~( visFreeVar(sK75, vabs(U_387, U_386, veabs)) ) & vtcheck(U_388, vabs(U_387, U_386, veabs), U_385) ) & ~( vtcheck(vbind(sK75, U_389, U_388), vabs(U_387, U_386, veabs), U_385) ) ),
% 32.66/33.01 inference(skolemize,[status(esa),new_symbols(skolem,[sK75]),skolemize(U_390,sK75)],[f_60_3]) ).
% 32.66/33.01
% 32.66/33.01 fof(f_60_5, negated_conjecture,
% 32.66/33.01 ? [ U_388,U_387,U_386,U_385 ] : ( ( ~( visFreeVar(sK75, vabs(U_387, U_386, veabs)) ) & vtcheck(U_388, vabs(U_387, U_386, veabs), U_385) ) & ~( vtcheck(vbind(sK75, sK76, U_388), vabs(U_387, U_386, veabs), U_385) ) ),
% 32.66/33.01 inference(skolemize,[status(esa),new_symbols(skolem,[sK76]),skolemize(U_389,sK76)],[f_60_4]) ).
% 32.66/33.01
% 32.66/33.01 fof(f_60_6, negated_conjecture,
% 32.66/33.01 ? [ U_387,U_386,U_385 ] : ( ( ~( visFreeVar(sK75, vabs(U_387, U_386, veabs)) ) & vtcheck(sK77, vabs(U_387, U_386, veabs), U_385) ) & ~( vtcheck(vbind(sK75, sK76, sK77), vabs(U_387, U_386, veabs), U_385) ) ),
% 32.66/33.01 inference(skolemize,[status(esa),new_symbols(skolem,[sK77]),skolemize(U_388,sK77)],[f_60_5]) ).
% 32.66/33.01
% 32.66/33.01 fof(f_60_7, negated_conjecture,
% 32.66/33.01 ? [ U_386,U_385 ] : ( ( ~( visFreeVar(sK75, vabs(sK78, U_386, veabs)) ) & vtcheck(sK77, vabs(sK78, U_386, veabs), U_385) ) & ~( vtcheck(vbind(sK75, sK76, sK77), vabs(sK78, U_386, veabs), U_385) ) ),
% 32.66/33.01 inference(skolemize,[status(esa),new_symbols(skolem,[sK78]),skolemize(U_387,sK78)],[f_60_6]) ).
% 32.66/33.01
% 32.66/33.01 fof(f_60_8, negated_conjecture,
% 32.66/33.01 ? [ U_385 ] : ( ( ~( visFreeVar(sK75, vabs(sK78, sK79, veabs)) ) & vtcheck(sK77, vabs(sK78, sK79, veabs), U_385) ) & ~( vtcheck(vbind(sK75, sK76, sK77), vabs(sK78, sK79, veabs), U_385) ) ),
% 32.66/33.01 inference(skolemize,[status(esa),new_symbols(skolem,[sK79]),skolemize(U_386,sK79)],[f_60_7]) ).
% 32.66/33.01
% 32.66/33.01 fof(f_60_9, negated_conjecture,
% 32.66/33.01 ( ( ~( visFreeVar(sK75, vabs(sK78, sK79, veabs)) ) & vtcheck(sK77, vabs(sK78, sK79, veabs), sK80) ) & ~( vtcheck(vbind(sK75, sK76, sK77), vabs(sK78, sK79, veabs), sK80) ) ),
% 32.66/33.01 inference(skolemize,[status(esa),new_symbols(skolem,[sK80]),skolemize(U_385,sK80)],[f_60_8]) ).
% 32.66/33.01
% 32.66/33.01 fof(f_60_10, negated_conjecture,
% 32.66/33.01 ( ( ( ~visFreeVar(sK75, vabs(sK78, sK79, veabs)) ) ) & ( ( vtcheck(sK77, vabs(sK78, sK79, veabs), sK80) ) ) & ( ( ~vtcheck(vbind(sK75, sK76, sK77), vabs(sK78, sK79, veabs), sK80) ) ) ),
% 32.66/33.01 inference(definitional_conversion,[status(esa)],[f_60_9]) ).
% 32.66/33.01
% 32.66/33.01 cnf(f_60_11, negated_conjecture,
% 32.66/33.01 ( ~visFreeVar(sK75, vabs(sK78, sK79, veabs)) ),
% 32.66/33.01 inference(clausify,[status(thm)],[f_60_10]) ).
% 32.66/33.01
% 32.66/33.01 cnf(f_60_12, negated_conjecture,
% 32.66/33.01 ( vtcheck(sK77, vabs(sK78, sK79, veabs), sK80) ),
% 32.66/33.01 inference(clausify,[status(thm)],[f_60_10]) ).
% 32.66/33.01
% 32.66/33.01 cnf(f_60_13, negated_conjecture,
% 32.66/33.01 ( ~vtcheck(vbind(sK75, sK76, sK77), vabs(sK78, sK79, veabs), sK80) ),
% 32.66/33.01 inference(clausify,[status(thm)],[f_60_10]) ).
% 32.66/33.01
% 32.66/33.01 cnf(f_13_3_true, plain,
% 32.66/33.01 $true,
% 32.66/33.01 inference(clause_is_true,[status(thm)],[f_13_3]) ).
% 32.66/33.01
% 32.66/33.01 cnf(f_13_4_simplified, plain,
% 32.66/33.01 ( vempty = vempty ),
% 32.66/33.01 inference(simplify_clause,[status(thm)],[f_13_4]) ).
% 32.66/33.01
% 32.66/33.01 cnf(f_15_3_true, plain,
% 32.66/33.01 $true,
% 32.66/33.01 inference(clause_is_true,[status(thm)],[f_15_3]) ).
% 32.66/33.01
% 32.66/33.01 cnf(f_15_4_simplified, plain,
% 32.66/33.01 ( vnoType = vnoType ),
% 32.66/33.01 inference(simplify_clause,[status(thm)],[f_15_4]) ).
% 32.66/33.01
% 32.66/33.01 cnf(f_36_3_true, plain,
% 32.66/33.01 $true,
% 32.66/33.01 inference(clause_is_true,[status(thm)],[f_36_3]) ).
% 32.66/33.01
% 32.66/33.01 cnf(f_36_4_simplified, plain,
% 32.66/33.01 ( vnoExp = vnoExp ),
% 32.66/33.01 inference(simplify_clause,[status(thm)],[f_36_4]) ).
% 32.66/33.01
% 32.66/33.01 cnf(equality_1, axiom,
% 32.66/33.01 ( Eq_x_0 = Eq_x_0 ),
% 32.66/33.01 theory(equality,[reflexivity]) ).
% 32.66/33.01
% 32.66/33.01 cnf(equality_2, axiom,
% 32.66/33.01 ( Eq_x_0 != Eq_x_1 | Eq_x_1 = Eq_x_0 ),
% 32.66/33.01 theory(equality,[symmetry]) ).
% 32.66/33.01
% 32.66/33.01 cnf(equality_3, axiom,
% 32.66/33.01 ( Eq_x_0 != Eq_x_1 | Eq_x_1 != Eq_x_2 | Eq_x_0 = Eq_x_2 ),
% 32.66/33.01 theory(equality,[transitivity]) ).
% 32.66/33.01
% 32.66/33.01 cnf(equality_4, axiom,
% 32.66/33.01 ( Eq_x_0 != Eq_y_0 | vvar(Eq_x_0) = vvar(Eq_y_0) ),
% 32.66/33.01 theory(equality,[substitution_functions]) ).
% 32.66/33.01
% 32.66/33.01 cnf(equality_5, axiom,
% 32.66/33.01 ( Eq_x_0 != Eq_y_0 | Eq_x_1 != Eq_y_1 | Eq_x_2 != Eq_y_2 | vabs(Eq_x_0, Eq_x_1, Eq_x_2) = vabs(Eq_y_0, Eq_y_1, Eq_y_2) ),
% 32.66/33.01 theory(equality,[substitution_functions]) ).
% 32.66/33.01
% 32.66/33.01 cnf(equality_6, axiom,
% 32.66/33.01 ( Eq_x_0 != Eq_y_0 | Eq_x_1 != Eq_y_1 | vapp(Eq_x_0, Eq_x_1) = vapp(Eq_y_0, Eq_y_1) ),
% 32.66/33.01 theory(equality,[substitution_functions]) ).
% 32.66/33.01
% 32.66/33.01 cnf(equality_7, axiom,
% 32.66/33.01 ( Eq_x_0 != Eq_y_0 | Eq_x_1 != Eq_y_1 | Eq_x_2 != Eq_y_2 | vbind(Eq_x_0, Eq_x_1, Eq_x_2) = vbind(Eq_y_0, Eq_y_1, Eq_y_2) ),
% 32.66/33.01 theory(equality,[substitution_functions]) ).
% 32.66/33.01
% 32.66/33.01 cnf(equality_8, axiom,
% 32.66/33.01 ( Eq_x_0 != Eq_y_0 | vsomeType(Eq_x_0) = vsomeType(Eq_y_0) ),
% 32.66/33.01 theory(equality,[substitution_functions]) ).
% 32.66/33.01
% 32.66/33.01 cnf(equality_9, axiom,
% 32.66/33.01 ( Eq_x_0 != Eq_y_0 | vgetSomeType(Eq_x_0) = vgetSomeType(Eq_y_0) ),
% 32.66/33.01 theory(equality,[substitution_functions]) ).
% 32.66/33.01
% 32.66/33.01 cnf(equality_10, axiom,
% 32.66/33.01 ( Eq_x_0 != Eq_y_0 | Eq_x_1 != Eq_y_1 | vlookup(Eq_x_0, Eq_x_1) = vlookup(Eq_y_0, Eq_y_1) ),
% 32.66/33.01 theory(equality,[substitution_functions]) ).
% 32.66/33.01
% 32.66/33.01 cnf(equality_11, axiom,
% 32.66/33.01 ( Eq_x_0 != Eq_y_0 | vgensym(Eq_x_0) = vgensym(Eq_y_0) ),
% 32.66/33.01 theory(equality,[substitution_functions]) ).
% 32.66/33.01
% 32.66/33.01 cnf(equality_12, axiom,
% 32.66/33.01 ( Eq_x_0 != Eq_y_0 | Eq_x_1 != Eq_y_1 | Eq_x_2 != Eq_y_2 | vsubst(Eq_x_0, Eq_x_1, Eq_x_2) = vsubst(Eq_y_0, Eq_y_1, Eq_y_2) ),
% 32.66/33.01 theory(equality,[substitution_functions]) ).
% 32.66/33.01
% 32.66/33.01 cnf(equality_13, axiom,
% 32.66/33.01 ( Eq_x_0 != Eq_y_0 | vsomeExp(Eq_x_0) = vsomeExp(Eq_y_0) ),
% 32.66/33.01 theory(equality,[substitution_functions]) ).
% 32.66/33.01
% 32.66/33.01 cnf(equality_14, axiom,
% 32.66/33.01 ( Eq_x_0 != Eq_y_0 | vgetSomeExp(Eq_x_0) = vgetSomeExp(Eq_y_0) ),
% 32.66/33.01 theory(equality,[substitution_functions]) ).
% 32.66/33.01
% 32.66/33.01 cnf(equality_15, axiom,
% 32.66/33.01 ( Eq_x_0 != Eq_y_0 | vreduce(Eq_x_0) = vreduce(Eq_y_0) ),
% 32.66/33.01 theory(equality,[substitution_functions]) ).
% 32.66/33.01
% 32.66/33.01 cnf(equality_16, axiom,
% 32.66/33.01 ( Eq_x_0 != Eq_y_0 | Eq_x_1 != Eq_y_1 | varrow(Eq_x_0, Eq_x_1) = varrow(Eq_y_0, Eq_y_1) ),
% 32.66/33.01 theory(equality,[substitution_functions]) ).
% 32.66/33.01
% 32.66/33.01 cnf(equality_17, axiom,
% 32.66/33.01 ( Eq_x_0 != Eq_y_0 | Eq_x_1 != Eq_y_1 | Eq_x_2 != Eq_y_2 | sK1(Eq_x_0, Eq_x_1, Eq_x_2) = sK1(Eq_y_0, Eq_y_1, Eq_y_2) ),
% 32.66/33.01 theory(equality,[substitution_functions]) ).
% 32.66/33.01
% 32.66/33.01 cnf(equality_18, axiom,
% 32.66/33.01 ( Eq_x_0 != Eq_y_0 | Eq_x_1 != Eq_y_1 | Eq_x_2 != Eq_y_2 | sK2(Eq_x_0, Eq_x_1, Eq_x_2) = sK2(Eq_y_0, Eq_y_1, Eq_y_2) ),
% 32.66/33.01 theory(equality,[substitution_functions]) ).
% 32.66/33.01
% 32.66/33.01 cnf(equality_19, axiom,
% 32.66/33.01 ( Eq_x_0 != Eq_y_0 | Eq_x_1 != Eq_y_1 | Eq_x_2 != Eq_y_2 | sK3(Eq_x_0, Eq_x_1, Eq_x_2) = sK3(Eq_y_0, Eq_y_1, Eq_y_2) ),
% 32.66/33.01 theory(equality,[substitution_functions]) ).
% 32.66/33.01
% 32.66/33.01 cnf(equality_20, axiom,
% 32.66/33.01 ( Eq_x_0 != Eq_y_0 | Eq_x_1 != Eq_y_1 | Eq_x_2 != Eq_y_2 | sK4(Eq_x_0, Eq_x_1, Eq_x_2) = sK4(Eq_y_0, Eq_y_1, Eq_y_2) ),
% 32.66/33.01 theory(equality,[substitution_functions]) ).
% 32.66/33.01
% 32.66/33.01 cnf(equality_21, axiom,
% 32.66/33.01 ( Eq_x_0 != Eq_y_0 | Eq_x_1 != Eq_y_1 | Eq_x_2 != Eq_y_2 | sK5(Eq_x_0, Eq_x_1, Eq_x_2) = sK5(Eq_y_0, Eq_y_1, Eq_y_2) ),
% 32.66/33.01 theory(equality,[substitution_functions]) ).
% 32.66/33.01
% 32.66/33.01 cnf(equality_22, axiom,
% 32.66/33.01 ( Eq_x_0 != Eq_y_0 | Eq_x_1 != Eq_y_1 | Eq_x_2 != Eq_y_2 | sK6(Eq_x_0, Eq_x_1, Eq_x_2) = sK6(Eq_y_0, Eq_y_1, Eq_y_2) ),
% 32.66/33.01 theory(equality,[substitution_functions]) ).
% 32.66/33.01
% 32.66/33.01 cnf(equality_23, axiom,
% 32.66/33.01 ( Eq_x_0 != Eq_y_0 | Eq_x_1 != Eq_y_1 | Eq_x_2 != Eq_y_2 | sK7(Eq_x_0, Eq_x_1, Eq_x_2) = sK7(Eq_y_0, Eq_y_1, Eq_y_2) ),
% 32.66/33.01 theory(equality,[substitution_functions]) ).
% 32.66/33.01
% 32.66/33.01 cnf(equality_24, axiom,
% 32.66/33.01 ( Eq_x_0 != Eq_y_0 | Eq_x_1 != Eq_y_1 | Eq_x_2 != Eq_y_2 | sK8(Eq_x_0, Eq_x_1, Eq_x_2) = sK8(Eq_y_0, Eq_y_1, Eq_y_2) ),
% 32.66/33.01 theory(equality,[substitution_functions]) ).
% 32.66/33.01
% 32.66/33.01 cnf(equality_25, axiom,
% 32.66/33.01 ( Eq_x_0 != Eq_y_0 | Eq_x_1 != Eq_y_1 | Eq_x_2 != Eq_y_2 | sK9(Eq_x_0, Eq_x_1, Eq_x_2) = sK9(Eq_y_0, Eq_y_1, Eq_y_2) ),
% 32.66/33.01 theory(equality,[substitution_functions]) ).
% 32.66/33.01
% 32.66/33.01 cnf(equality_26, axiom,
% 32.66/33.01 ( Eq_x_0 != Eq_y_0 | Eq_x_1 != Eq_y_1 | Eq_x_2 != Eq_y_2 | Eq_x_3 != Eq_y_3 | sK10(Eq_x_0, Eq_x_1, Eq_x_2, Eq_x_3) = sK10(Eq_y_0, Eq_y_1, Eq_y_2, Eq_y_3) ),
% 32.66/33.01 theory(equality,[substitution_functions]) ).
% 32.66/33.01
% 32.66/33.01 cnf(equality_27, axiom,
% 32.66/33.01 ( Eq_x_0 != Eq_y_0 | Eq_x_1 != Eq_y_1 | Eq_x_2 != Eq_y_2 | Eq_x_3 != Eq_y_3 | sK11(Eq_x_0, Eq_x_1, Eq_x_2, Eq_x_3) = sK11(Eq_y_0, Eq_y_1, Eq_y_2, Eq_y_3) ),
% 32.66/33.01 theory(equality,[substitution_functions]) ).
% 32.66/33.01
% 32.66/33.01 cnf(equality_28, axiom,
% 32.66/33.01 ( Eq_x_0 != Eq_y_0 | Eq_x_1 != Eq_y_1 | Eq_x_2 != Eq_y_2 | Eq_x_3 != Eq_y_3 | sK12(Eq_x_0, Eq_x_1, Eq_x_2, Eq_x_3) = sK12(Eq_y_0, Eq_y_1, Eq_y_2, Eq_y_3) ),
% 32.66/33.01 theory(equality,[substitution_functions]) ).
% 32.66/33.01
% 32.66/33.01 cnf(equality_29, axiom,
% 32.66/33.01 ( Eq_x_0 != Eq_y_0 | Eq_x_1 != Eq_y_1 | Eq_x_2 != Eq_y_2 | Eq_x_3 != Eq_y_3 | sK13(Eq_x_0, Eq_x_1, Eq_x_2, Eq_x_3) = sK13(Eq_y_0, Eq_y_1, Eq_y_2, Eq_y_3) ),
% 32.66/33.01 theory(equality,[substitution_functions]) ).
% 32.66/33.01
% 32.66/33.01 cnf(equality_30, axiom,
% 32.66/33.01 ( Eq_x_0 != Eq_y_0 | Eq_x_1 != Eq_y_1 | Eq_x_2 != Eq_y_2 | Eq_x_3 != Eq_y_3 | sK14(Eq_x_0, Eq_x_1, Eq_x_2, Eq_x_3) = sK14(Eq_y_0, Eq_y_1, Eq_y_2, Eq_y_3) ),
% 32.66/33.01 theory(equality,[substitution_functions]) ).
% 32.66/33.01
% 32.66/33.01 cnf(equality_31, axiom,
% 32.66/33.01 ( Eq_x_0 != Eq_y_0 | Eq_x_1 != Eq_y_1 | Eq_x_2 != Eq_y_2 | Eq_x_3 != Eq_y_3 | sK15(Eq_x_0, Eq_x_1, Eq_x_2, Eq_x_3) = sK15(Eq_y_0, Eq_y_1, Eq_y_2, Eq_y_3) ),
% 32.66/33.01 theory(equality,[substitution_functions]) ).
% 32.66/33.01
% 32.66/33.01 cnf(equality_32, axiom,
% 32.66/33.01 ( Eq_x_0 != Eq_y_0 | Eq_x_1 != Eq_y_1 | Eq_x_2 != Eq_y_2 | Eq_x_3 != Eq_y_3 | sK16(Eq_x_0, Eq_x_1, Eq_x_2, Eq_x_3) = sK16(Eq_y_0, Eq_y_1, Eq_y_2, Eq_y_3) ),
% 32.66/33.01 theory(equality,[substitution_functions]) ).
% 32.66/33.01
% 32.66/33.01 cnf(equality_33, axiom,
% 32.66/33.01 ( Eq_x_0 != Eq_y_0 | Eq_x_1 != Eq_y_1 | Eq_x_2 != Eq_y_2 | Eq_x_3 != Eq_y_3 | sK17(Eq_x_0, Eq_x_1, Eq_x_2, Eq_x_3) = sK17(Eq_y_0, Eq_y_1, Eq_y_2, Eq_y_3) ),
% 32.66/33.01 theory(equality,[substitution_functions]) ).
% 32.66/33.01
% 32.66/33.01 cnf(equality_34, axiom,
% 32.66/33.01 ( Eq_x_0 != Eq_y_0 | Eq_x_1 != Eq_y_1 | Eq_x_2 != Eq_y_2 | Eq_x_3 != Eq_y_3 | sK18(Eq_x_0, Eq_x_1, Eq_x_2, Eq_x_3) = sK18(Eq_y_0, Eq_y_1, Eq_y_2, Eq_y_3) ),
% 32.66/33.01 theory(equality,[substitution_functions]) ).
% 32.66/33.01
% 32.66/33.01 cnf(equality_35, axiom,
% 32.66/33.01 ( Eq_x_0 != Eq_y_0 | Eq_x_1 != Eq_y_1 | Eq_x_2 != Eq_y_2 | Eq_x_3 != Eq_y_3 | sK19(Eq_x_0, Eq_x_1, Eq_x_2, Eq_x_3) = sK19(Eq_y_0, Eq_y_1, Eq_y_2, Eq_y_3) ),
% 32.66/33.01 theory(equality,[substitution_functions]) ).
% 32.66/33.01
% 32.66/33.01 cnf(equality_36, axiom,
% 32.66/33.01 ( Eq_x_0 != Eq_y_0 | Eq_x_1 != Eq_y_1 | Eq_x_2 != Eq_y_2 | Eq_x_3 != Eq_y_3 | sK20(Eq_x_0, Eq_x_1, Eq_x_2, Eq_x_3) = sK20(Eq_y_0, Eq_y_1, Eq_y_2, Eq_y_3) ),
% 32.66/33.01 theory(equality,[substitution_functions]) ).
% 32.66/33.01
% 32.66/33.01 cnf(equality_37, axiom,
% 32.66/33.01 ( Eq_x_0 != Eq_y_0 | Eq_x_1 != Eq_y_1 | Eq_x_2 != Eq_y_2 | Eq_x_3 != Eq_y_3 | sK21(Eq_x_0, Eq_x_1, Eq_x_2, Eq_x_3) = sK21(Eq_y_0, Eq_y_1, Eq_y_2, Eq_y_3) ),
% 32.66/33.01 theory(equality,[substitution_functions]) ).
% 32.66/33.01
% 32.66/33.01 cnf(equality_38, axiom,
% 32.66/33.01 ( Eq_x_0 != Eq_y_0 | Eq_x_1 != Eq_y_1 | Eq_x_2 != Eq_y_2 | Eq_x_3 != Eq_y_3 | sK22(Eq_x_0, Eq_x_1, Eq_x_2, Eq_x_3) = sK22(Eq_y_0, Eq_y_1, Eq_y_2, Eq_y_3) ),
% 32.66/33.01 theory(equality,[substitution_functions]) ).
% 32.66/33.01
% 32.66/33.01 cnf(equality_39, axiom,
% 32.66/33.01 ( Eq_x_0 != Eq_y_0 | Eq_x_1 != Eq_y_1 | Eq_x_2 != Eq_y_2 | Eq_x_3 != Eq_y_3 | sK23(Eq_x_0, Eq_x_1, Eq_x_2, Eq_x_3) = sK23(Eq_y_0, Eq_y_1, Eq_y_2, Eq_y_3) ),
% 32.66/33.01 theory(equality,[substitution_functions]) ).
% 32.66/33.01
% 32.66/33.01 cnf(equality_40, axiom,
% 32.66/33.01 ( Eq_x_0 != Eq_y_0 | Eq_x_1 != Eq_y_1 | Eq_x_2 != Eq_y_2 | Eq_x_3 != Eq_y_3 | sK24(Eq_x_0, Eq_x_1, Eq_x_2, Eq_x_3) = sK24(Eq_y_0, Eq_y_1, Eq_y_2, Eq_y_3) ),
% 32.66/33.01 theory(equality,[substitution_functions]) ).
% 32.66/33.01
% 32.66/33.01 cnf(equality_41, axiom,
% 32.66/33.01 ( Eq_x_0 != Eq_y_0 | Eq_x_1 != Eq_y_1 | Eq_x_2 != Eq_y_2 | Eq_x_3 != Eq_y_3 | sK25(Eq_x_0, Eq_x_1, Eq_x_2, Eq_x_3) = sK25(Eq_y_0, Eq_y_1, Eq_y_2, Eq_y_3) ),
% 32.66/33.01 theory(equality,[substitution_functions]) ).
% 32.66/33.01
% 32.66/33.01 cnf(equality_42, axiom,
% 32.66/33.01 ( Eq_x_0 != Eq_y_0 | Eq_x_1 != Eq_y_1 | Eq_x_2 != Eq_y_2 | Eq_x_3 != Eq_y_3 | sK26(Eq_x_0, Eq_x_1, Eq_x_2, Eq_x_3) = sK26(Eq_y_0, Eq_y_1, Eq_y_2, Eq_y_3) ),
% 32.66/33.01 theory(equality,[substitution_functions]) ).
% 32.66/33.01
% 32.66/33.01 cnf(equality_43, axiom,
% 32.66/33.01 ( Eq_x_0 != Eq_y_0 | Eq_x_1 != Eq_y_1 | Eq_x_2 != Eq_y_2 | Eq_x_3 != Eq_y_3 | sK27(Eq_x_0, Eq_x_1, Eq_x_2, Eq_x_3) = sK27(Eq_y_0, Eq_y_1, Eq_y_2, Eq_y_3) ),
% 32.66/33.01 theory(equality,[substitution_functions]) ).
% 32.66/33.01
% 32.66/33.01 cnf(equality_44, axiom,
% 32.66/33.01 ( Eq_x_0 != Eq_y_0 | Eq_x_1 != Eq_y_1 | Eq_x_2 != Eq_y_2 | Eq_x_3 != Eq_y_3 | sK28(Eq_x_0, Eq_x_1, Eq_x_2, Eq_x_3) = sK28(Eq_y_0, Eq_y_1, Eq_y_2, Eq_y_3) ),
% 32.66/33.01 theory(equality,[substitution_functions]) ).
% 32.66/33.01
% 32.66/33.01 cnf(equality_45, axiom,
% 32.66/33.01 ( Eq_x_0 != Eq_y_0 | Eq_x_1 != Eq_y_1 | Eq_x_2 != Eq_y_2 | Eq_x_3 != Eq_y_3 | sK29(Eq_x_0, Eq_x_1, Eq_x_2, Eq_x_3) = sK29(Eq_y_0, Eq_y_1, Eq_y_2, Eq_y_3) ),
% 32.66/33.01 theory(equality,[substitution_functions]) ).
% 32.66/33.01
% 32.66/33.01 cnf(equality_46, axiom,
% 32.66/33.01 ( Eq_x_0 != Eq_y_0 | Eq_x_1 != Eq_y_1 | Eq_x_2 != Eq_y_2 | Eq_x_3 != Eq_y_3 | sK30(Eq_x_0, Eq_x_1, Eq_x_2, Eq_x_3) = sK30(Eq_y_0, Eq_y_1, Eq_y_2, Eq_y_3) ),
% 32.66/33.01 theory(equality,[substitution_functions]) ).
% 32.66/33.01
% 32.66/33.01 cnf(equality_47, axiom,
% 32.66/33.01 ( Eq_x_0 != Eq_y_0 | Eq_x_1 != Eq_y_1 | Eq_x_2 != Eq_y_2 | Eq_x_3 != Eq_y_3 | sK31(Eq_x_0, Eq_x_1, Eq_x_2, Eq_x_3) = sK31(Eq_y_0, Eq_y_1, Eq_y_2, Eq_y_3) ),
% 32.66/33.01 theory(equality,[substitution_functions]) ).
% 32.66/33.01
% 32.66/33.01 cnf(equality_48, axiom,
% 32.66/33.01 ( Eq_x_0 != Eq_y_0 | Eq_x_1 != Eq_y_1 | Eq_x_2 != Eq_y_2 | Eq_x_3 != Eq_y_3 | sK32(Eq_x_0, Eq_x_1, Eq_x_2, Eq_x_3) = sK32(Eq_y_0, Eq_y_1, Eq_y_2, Eq_y_3) ),
% 32.66/33.01 theory(equality,[substitution_functions]) ).
% 32.66/33.01
% 32.66/33.01 cnf(equality_49, axiom,
% 32.66/33.01 ( Eq_x_0 != Eq_y_0 | Eq_x_1 != Eq_y_1 | Eq_x_2 != Eq_y_2 | Eq_x_3 != Eq_y_3 | sK33(Eq_x_0, Eq_x_1, Eq_x_2, Eq_x_3) = sK33(Eq_y_0, Eq_y_1, Eq_y_2, Eq_y_3) ),
% 32.66/33.01 theory(equality,[substitution_functions]) ).
% 32.66/33.01
% 32.66/33.01 cnf(equality_50, axiom,
% 32.66/33.01 ( Eq_x_0 != Eq_y_0 | Eq_x_1 != Eq_y_1 | Eq_x_2 != Eq_y_2 | Eq_x_3 != Eq_y_3 | sK34(Eq_x_0, Eq_x_1, Eq_x_2, Eq_x_3) = sK34(Eq_y_0, Eq_y_1, Eq_y_2, Eq_y_3) ),
% 32.66/33.01 theory(equality,[substitution_functions]) ).
% 32.66/33.01
% 32.66/33.01 cnf(equality_51, axiom,
% 32.66/33.01 ( Eq_x_0 != Eq_y_0 | Eq_x_1 != Eq_y_1 | Eq_x_2 != Eq_y_2 | Eq_x_3 != Eq_y_3 | sK35(Eq_x_0, Eq_x_1, Eq_x_2, Eq_x_3) = sK35(Eq_y_0, Eq_y_1, Eq_y_2, Eq_y_3) ),
% 32.66/33.01 theory(equality,[substitution_functions]) ).
% 32.66/33.01
% 32.66/33.01 cnf(equality_52, axiom,
% 32.66/33.01 ( Eq_x_0 != Eq_y_0 | Eq_x_1 != Eq_y_1 | Eq_x_2 != Eq_y_2 | Eq_x_3 != Eq_y_3 | Eq_x_4 != Eq_y_4 | sK36(Eq_x_0, Eq_x_1, Eq_x_2, Eq_x_3, Eq_x_4) = sK36(Eq_y_0, Eq_y_1, Eq_y_2, Eq_y_3, Eq_y_4) ),
% 32.66/33.01 theory(equality,[substitution_functions]) ).
% 32.66/33.01
% 32.66/33.01 cnf(equality_53, axiom,
% 32.66/33.01 ( Eq_x_0 != Eq_y_0 | Eq_x_1 != Eq_y_1 | Eq_x_2 != Eq_y_2 | Eq_x_3 != Eq_y_3 | Eq_x_4 != Eq_y_4 | sK37(Eq_x_0, Eq_x_1, Eq_x_2, Eq_x_3, Eq_x_4) = sK37(Eq_y_0, Eq_y_1, Eq_y_2, Eq_y_3, Eq_y_4) ),
% 32.66/33.01 theory(equality,[substitution_functions]) ).
% 32.66/33.01
% 32.66/33.01 cnf(equality_54, axiom,
% 32.66/33.01 ( Eq_x_0 != Eq_y_0 | Eq_x_1 != Eq_y_1 | Eq_x_2 != Eq_y_2 | Eq_x_3 != Eq_y_3 | Eq_x_4 != Eq_y_4 | sK38(Eq_x_0, Eq_x_1, Eq_x_2, Eq_x_3, Eq_x_4) = sK38(Eq_y_0, Eq_y_1, Eq_y_2, Eq_y_3, Eq_y_4) ),
% 32.66/33.01 theory(equality,[substitution_functions]) ).
% 32.66/33.01
% 32.66/33.01 cnf(equality_55, axiom,
% 32.66/33.01 ( Eq_x_0 != Eq_y_0 | Eq_x_1 != Eq_y_1 | Eq_x_2 != Eq_y_2 | Eq_x_3 != Eq_y_3 | sK39(Eq_x_0, Eq_x_1, Eq_x_2, Eq_x_3) = sK39(Eq_y_0, Eq_y_1, Eq_y_2, Eq_y_3) ),
% 32.66/33.01 theory(equality,[substitution_functions]) ).
% 32.66/33.01
% 32.66/33.01 cnf(equality_56, axiom,
% 32.66/33.01 ( Eq_x_0 != Eq_y_0 | Eq_x_1 != Eq_y_1 | Eq_x_2 != Eq_y_2 | Eq_x_3 != Eq_y_3 | sK40(Eq_x_0, Eq_x_1, Eq_x_2, Eq_x_3) = sK40(Eq_y_0, Eq_y_1, Eq_y_2, Eq_y_3) ),
% 32.66/33.01 theory(equality,[substitution_functions]) ).
% 32.66/33.01
% 32.66/33.01 cnf(equality_57, axiom,
% 32.66/33.01 ( Eq_x_0 != Eq_y_0 | Eq_x_1 != Eq_y_1 | Eq_x_2 != Eq_y_2 | Eq_x_3 != Eq_y_3 | sK41(Eq_x_0, Eq_x_1, Eq_x_2, Eq_x_3) = sK41(Eq_y_0, Eq_y_1, Eq_y_2, Eq_y_3) ),
% 32.66/33.01 theory(equality,[substitution_functions]) ).
% 32.66/33.01
% 32.66/33.01 cnf(equality_58, axiom,
% 32.66/33.01 ( Eq_x_0 != Eq_y_0 | Eq_x_1 != Eq_y_1 | sK42(Eq_x_0, Eq_x_1) = sK42(Eq_y_0, Eq_y_1) ),
% 32.66/33.01 theory(equality,[substitution_functions]) ).
% 32.66/33.01
% 32.66/33.01 cnf(equality_59, axiom,
% 32.66/33.01 ( Eq_x_0 != Eq_y_0 | Eq_x_1 != Eq_y_1 | sK43(Eq_x_0, Eq_x_1) = sK43(Eq_y_0, Eq_y_1) ),
% 32.66/33.01 theory(equality,[substitution_functions]) ).
% 32.66/33.01
% 32.66/33.01 cnf(equality_60, axiom,
% 32.66/33.01 ( Eq_x_0 != Eq_y_0 | Eq_x_1 != Eq_y_1 | sK44(Eq_x_0, Eq_x_1) = sK44(Eq_y_0, Eq_y_1) ),
% 32.66/33.01 theory(equality,[substitution_functions]) ).
% 32.66/33.01
% 32.66/33.01 cnf(equality_61, axiom,
% 32.66/33.01 ( Eq_x_0 != Eq_y_0 | Eq_x_1 != Eq_y_1 | sK45(Eq_x_0, Eq_x_1) = sK45(Eq_y_0, Eq_y_1) ),
% 32.66/33.01 theory(equality,[substitution_functions]) ).
% 32.66/33.01
% 32.66/33.01 cnf(equality_62, axiom,
% 32.66/33.01 ( Eq_x_0 != Eq_y_0 | Eq_x_1 != Eq_y_1 | sK46(Eq_x_0, Eq_x_1) = sK46(Eq_y_0, Eq_y_1) ),
% 32.66/33.01 theory(equality,[substitution_functions]) ).
% 32.66/33.01
% 32.66/33.01 cnf(equality_63, axiom,
% 32.66/33.01 ( Eq_x_0 != Eq_y_0 | Eq_x_1 != Eq_y_1 | sK47(Eq_x_0, Eq_x_1) = sK47(Eq_y_0, Eq_y_1) ),
% 32.66/33.01 theory(equality,[substitution_functions]) ).
% 32.66/33.01
% 32.66/33.01 cnf(equality_64, axiom,
% 32.66/33.01 ( Eq_x_0 != Eq_y_0 | Eq_x_1 != Eq_y_1 | sK48(Eq_x_0, Eq_x_1) = sK48(Eq_y_0, Eq_y_1) ),
% 32.66/33.01 theory(equality,[substitution_functions]) ).
% 32.66/33.01
% 32.66/33.01 cnf(equality_65, axiom,
% 32.66/33.01 ( Eq_x_0 != Eq_y_0 | Eq_x_1 != Eq_y_1 | sK49(Eq_x_0, Eq_x_1) = sK49(Eq_y_0, Eq_y_1) ),
% 32.66/33.01 theory(equality,[substitution_functions]) ).
% 32.66/33.01
% 32.66/33.01 cnf(equality_66, axiom,
% 32.66/33.01 ( Eq_x_0 != Eq_y_0 | Eq_x_1 != Eq_y_1 | sK50(Eq_x_0, Eq_x_1) = sK50(Eq_y_0, Eq_y_1) ),
% 32.66/33.01 theory(equality,[substitution_functions]) ).
% 32.66/33.01
% 32.66/33.01 cnf(equality_67, axiom,
% 32.66/33.01 ( Eq_x_0 != Eq_y_0 | Eq_x_1 != Eq_y_1 | sK51(Eq_x_0, Eq_x_1) = sK51(Eq_y_0, Eq_y_1) ),
% 32.66/33.01 theory(equality,[substitution_functions]) ).
% 32.66/33.01
% 32.66/33.01 cnf(equality_68, axiom,
% 32.66/33.01 ( Eq_x_0 != Eq_y_0 | Eq_x_1 != Eq_y_1 | sK52(Eq_x_0, Eq_x_1) = sK52(Eq_y_0, Eq_y_1) ),
% 32.66/33.01 theory(equality,[substitution_functions]) ).
% 32.66/33.01
% 32.66/33.01 cnf(equality_69, axiom,
% 32.66/33.01 ( Eq_x_0 != Eq_y_0 | Eq_x_1 != Eq_y_1 | sK53(Eq_x_0, Eq_x_1) = sK53(Eq_y_0, Eq_y_1) ),
% 32.66/33.01 theory(equality,[substitution_functions]) ).
% 32.66/33.01
% 32.66/33.01 cnf(equality_70, axiom,
% 32.66/33.01 ( Eq_x_0 != Eq_y_0 | Eq_x_1 != Eq_y_1 | sK54(Eq_x_0, Eq_x_1) = sK54(Eq_y_0, Eq_y_1) ),
% 32.66/33.01 theory(equality,[substitution_functions]) ).
% 32.66/33.01
% 32.66/33.01 cnf(equality_71, axiom,
% 32.66/33.01 ( Eq_x_0 != Eq_y_0 | Eq_x_1 != Eq_y_1 | sK55(Eq_x_0, Eq_x_1) = sK55(Eq_y_0, Eq_y_1) ),
% 32.66/33.01 theory(equality,[substitution_functions]) ).
% 32.66/33.01
% 32.66/33.01 cnf(equality_72, axiom,
% 32.66/33.01 ( Eq_x_0 != Eq_y_0 | Eq_x_1 != Eq_y_1 | sK56(Eq_x_0, Eq_x_1) = sK56(Eq_y_0, Eq_y_1) ),
% 32.66/33.01 theory(equality,[substitution_functions]) ).
% 32.66/33.01
% 32.66/33.01 cnf(equality_73, axiom,
% 32.66/33.01 ( Eq_x_0 != Eq_y_0 | Eq_x_1 != Eq_y_1 | sK57(Eq_x_0, Eq_x_1) = sK57(Eq_y_0, Eq_y_1) ),
% 32.66/33.01 theory(equality,[substitution_functions]) ).
% 32.66/33.01
% 32.66/33.01 cnf(equality_74, axiom,
% 32.66/33.01 ( Eq_x_0 != Eq_y_0 | Eq_x_1 != Eq_y_1 | sK58(Eq_x_0, Eq_x_1) = sK58(Eq_y_0, Eq_y_1) ),
% 32.66/33.01 theory(equality,[substitution_functions]) ).
% 32.66/33.01
% 32.66/33.01 cnf(equality_75, axiom,
% 32.66/33.01 ( Eq_x_0 != Eq_y_0 | Eq_x_1 != Eq_y_1 | sK59(Eq_x_0, Eq_x_1) = sK59(Eq_y_0, Eq_y_1) ),
% 32.66/33.01 theory(equality,[substitution_functions]) ).
% 32.66/33.01
% 32.66/33.01 cnf(equality_76, axiom,
% 32.66/33.01 ( Eq_x_0 != Eq_y_0 | Eq_x_1 != Eq_y_1 | sK60(Eq_x_0, Eq_x_1) = sK60(Eq_y_0, Eq_y_1) ),
% 32.66/33.01 theory(equality,[substitution_functions]) ).
% 32.66/33.01
% 32.66/33.01 cnf(equality_77, axiom,
% 32.66/33.01 ( Eq_x_0 != Eq_y_0 | Eq_x_1 != Eq_y_1 | sK61(Eq_x_0, Eq_x_1) = sK61(Eq_y_0, Eq_y_1) ),
% 32.66/33.01 theory(equality,[substitution_functions]) ).
% 32.66/33.01
% 32.66/33.01 cnf(equality_78, axiom,
% 32.66/33.01 ( Eq_x_0 != Eq_y_0 | Eq_x_1 != Eq_y_1 | sK62(Eq_x_0, Eq_x_1) = sK62(Eq_y_0, Eq_y_1) ),
% 32.66/33.01 theory(equality,[substitution_functions]) ).
% 32.66/33.01
% 32.66/33.01 cnf(equality_79, axiom,
% 32.66/33.01 ( Eq_x_0 != Eq_y_0 | Eq_x_1 != Eq_y_1 | sK63(Eq_x_0, Eq_x_1) = sK63(Eq_y_0, Eq_y_1) ),
% 32.66/33.01 theory(equality,[substitution_functions]) ).
% 32.66/33.01
% 32.66/33.01 cnf(equality_80, axiom,
% 32.66/33.01 ( Eq_x_0 != Eq_y_0 | Eq_x_1 != Eq_y_1 | sK64(Eq_x_0, Eq_x_1) = sK64(Eq_y_0, Eq_y_1) ),
% 32.66/33.01 theory(equality,[substitution_functions]) ).
% 32.66/33.01
% 32.66/33.01 cnf(equality_81, axiom,
% 32.66/33.01 ( Eq_x_0 != Eq_y_0 | Eq_x_1 != Eq_y_1 | sK65(Eq_x_0, Eq_x_1) = sK65(Eq_y_0, Eq_y_1) ),
% 32.66/33.01 theory(equality,[substitution_functions]) ).
% 32.66/33.01
% 32.66/33.01 cnf(equality_82, axiom,
% 32.66/33.01 ( Eq_x_0 != Eq_y_0 | Eq_x_1 != Eq_y_1 | sK66(Eq_x_0, Eq_x_1) = sK66(Eq_y_0, Eq_y_1) ),
% 32.66/33.01 theory(equality,[substitution_functions]) ).
% 32.66/33.01
% 32.66/33.01 cnf(equality_83, axiom,
% 32.66/33.01 ( Eq_x_0 != Eq_y_0 | Eq_x_1 != Eq_y_1 | Eq_x_2 != Eq_y_2 | sK67(Eq_x_0, Eq_x_1, Eq_x_2) = sK67(Eq_y_0, Eq_y_1, Eq_y_2) ),
% 32.66/33.01 theory(equality,[substitution_functions]) ).
% 32.66/33.01
% 32.66/33.01 cnf(equality_84, axiom,
% 32.66/33.01 ( Eq_x_0 != Eq_y_0 | Eq_x_1 != Eq_y_1 | Eq_x_2 != Eq_y_2 | sK68(Eq_x_0, Eq_x_1, Eq_x_2) = sK68(Eq_y_0, Eq_y_1, Eq_y_2) ),
% 32.66/33.01 theory(equality,[substitution_functions]) ).
% 32.66/33.01
% 32.66/33.01 cnf(equality_85, axiom,
% 32.66/33.01 ( Eq_x_0 != Eq_y_0 | Eq_x_1 != Eq_y_1 | Eq_x_2 != Eq_y_2 | sK69(Eq_x_0, Eq_x_1, Eq_x_2) = sK69(Eq_y_0, Eq_y_1, Eq_y_2) ),
% 32.66/33.01 theory(equality,[substitution_functions]) ).
% 32.66/33.01
% 32.66/33.01 cnf(equality_86, axiom,
% 32.66/33.01 ( Eq_x_0 != Eq_y_0 | Eq_x_1 != Eq_y_1 | Eq_x_2 != Eq_y_2 | sK70(Eq_x_0, Eq_x_1, Eq_x_2) = sK70(Eq_y_0, Eq_y_1, Eq_y_2) ),
% 32.66/33.01 theory(equality,[substitution_functions]) ).
% 32.66/33.01
% 32.66/33.01 cnf(equality_87, axiom,
% 32.66/33.01 ( Eq_x_0 != Eq_y_0 | Eq_x_1 != Eq_y_1 | Eq_x_2 != Eq_y_2 | sK71(Eq_x_0, Eq_x_1, Eq_x_2) = sK71(Eq_y_0, Eq_y_1, Eq_y_2) ),
% 32.66/33.01 theory(equality,[substitution_functions]) ).
% 32.66/33.01
% 32.66/33.01 cnf(equality_88, axiom,
% 32.66/33.01 ( Eq_x_0 != Eq_y_0 | Eq_x_1 != Eq_y_1 | Eq_x_2 != Eq_y_2 | sK72(Eq_x_0, Eq_x_1, Eq_x_2) = sK72(Eq_y_0, Eq_y_1, Eq_y_2) ),
% 32.66/33.01 theory(equality,[substitution_functions]) ).
% 32.66/33.01
% 32.66/33.01 cnf(equality_89, axiom,
% 32.66/33.01 ( Eq_x_0 != Eq_y_0 | Eq_x_1 != Eq_y_1 | Eq_x_2 != Eq_y_2 | sK73(Eq_x_0, Eq_x_1, Eq_x_2) = sK73(Eq_y_0, Eq_y_1, Eq_y_2) ),
% 32.66/33.01 theory(equality,[substitution_functions]) ).
% 32.66/33.01
% 32.66/33.01 cnf(equality_90, axiom,
% 32.66/33.01 ( Eq_x_0 != Eq_y_0 | Eq_x_1 != Eq_y_1 | Eq_x_2 != Eq_y_2 | sK74(Eq_x_0, Eq_x_1, Eq_x_2) = sK74(Eq_y_0, Eq_y_1, Eq_y_2) ),
% 32.66/33.01 theory(equality,[substitution_functions]) ).
% 32.66/33.01
% 32.66/33.01 cnf(equality_91, axiom,
% 32.66/33.01 ( Eq_x_0 != Eq_y_0 | ~visValue(Eq_x_0) | visValue(Eq_y_0) ),
% 32.66/33.01 theory(equality,[substitution_predicates]) ).
% 32.66/33.01
% 32.66/33.01 cnf(equality_92, axiom,
% 32.66/33.01 ( Eq_x_0 != Eq_y_0 | Eq_x_1 != Eq_y_1 | ~visFreeVar(Eq_x_0, Eq_x_1) | visFreeVar(Eq_y_0, Eq_y_1) ),
% 32.66/33.01 theory(equality,[substitution_predicates]) ).
% 32.66/33.01
% 32.66/33.01 cnf(equality_93, axiom,
% 32.66/33.01 ( Eq_x_0 != Eq_y_0 | ~visSomeType(Eq_x_0) | visSomeType(Eq_y_0) ),
% 32.66/33.01 theory(equality,[substitution_predicates]) ).
% 32.66/33.01
% 32.66/33.01 cnf(equality_94, axiom,
% 32.66/33.01 ( Eq_x_0 != Eq_y_0 | Eq_x_1 != Eq_y_1 | Eq_x_2 != Eq_y_2 | ~vtcheck(Eq_x_0, Eq_x_1, Eq_x_2) | vtcheck(Eq_y_0, Eq_y_1, Eq_y_2) ),
% 32.66/33.01 theory(equality,[substitution_predicates]) ).
% 32.66/33.01
% 32.66/33.01 cnf(equality_95, axiom,
% 32.66/33.01 ( Eq_x_0 != Eq_y_0 | ~visSomeExp(Eq_x_0) | visSomeExp(Eq_y_0) ),
% 32.66/33.01 theory(equality,[substitution_predicates]) ).
% 32.66/33.01
% 32.66/33.01 cnf(equality_96, axiom,
% 32.66/33.01 ( Eq_x_0 != Eq_y_0 | Eq_x_1 != Eq_y_1 | Eq_x_2 != Eq_y_2 | Eq_x_3 != Eq_y_3 | Eq_x_4 != Eq_y_4 | Eq_x_5 != Eq_y_5 | ~sP0(Eq_x_0, Eq_x_1, Eq_x_2, Eq_x_3, Eq_x_4, Eq_x_5) | sP0(Eq_y_0, Eq_y_1, Eq_y_2, Eq_y_3, Eq_y_4, Eq_y_5) ),
% 32.66/33.01 theory(equality,[substitution_predicates]) ).
% 32.66/33.01
% 32.66/33.01 cnf(equality_97, axiom,
% 32.66/33.01 ( Eq_x_0 != Eq_y_0 | Eq_x_1 != Eq_y_1 | Eq_x_2 != Eq_y_2 | Eq_x_3 != Eq_y_3 | ~sP1(Eq_x_0, Eq_x_1, Eq_x_2, Eq_x_3) | sP1(Eq_y_0, Eq_y_1, Eq_y_2, Eq_y_3) ),
% 32.66/33.01 theory(equality,[substitution_predicates]) ).
% 32.66/33.01
% 32.66/33.01 cnf(equality_98, axiom,
% 32.66/33.01 ( Eq_x_0 != Eq_y_0 | Eq_x_1 != Eq_y_1 | Eq_x_2 != Eq_y_2 | Eq_x_3 != Eq_y_3 | ~sP2(Eq_x_0, Eq_x_1, Eq_x_2, Eq_x_3) | sP2(Eq_y_0, Eq_y_1, Eq_y_2, Eq_y_3) ),
% 32.66/33.01 theory(equality,[substitution_predicates]) ).
% 32.66/33.01
% 32.66/33.01 cnf(equality_99, axiom,
% 32.66/33.01 ( Eq_x_0 != Eq_y_0 | Eq_x_1 != Eq_y_1 | Eq_x_2 != Eq_y_2 | ~sP3(Eq_x_0, Eq_x_1, Eq_x_2) | sP3(Eq_y_0, Eq_y_1, Eq_y_2) ),
% 32.66/33.01 theory(equality,[substitution_predicates]) ).
% 32.66/33.01
% 32.66/33.01 cnf(equality_100, axiom,
% 32.66/33.01 ( Eq_x_0 != Eq_y_0 | Eq_x_1 != Eq_y_1 | Eq_x_2 != Eq_y_2 | Eq_x_3 != Eq_y_3 | Eq_x_4 != Eq_y_4 | ~sP4(Eq_x_0, Eq_x_1, Eq_x_2, Eq_x_3, Eq_x_4) | sP4(Eq_y_0, Eq_y_1, Eq_y_2, Eq_y_3, Eq_y_4) ),
% 32.66/33.01 theory(equality,[substitution_predicates]) ).
% 32.66/33.01
% 32.66/33.01 cnf(equality_101, axiom,
% 32.66/33.01 ( Eq_x_0 != Eq_y_0 | Eq_x_1 != Eq_y_1 | Eq_x_2 != Eq_y_2 | ~sP5(Eq_x_0, Eq_x_1, Eq_x_2) | sP5(Eq_y_0, Eq_y_1, Eq_y_2) ),
% 32.66/33.01 theory(equality,[substitution_predicates]) ).
% 32.66/33.01
% 32.66/33.01 cnf(equality_102, axiom,
% 32.66/33.01 ( Eq_x_0 != Eq_y_0 | Eq_x_1 != Eq_y_1 | Eq_x_2 != Eq_y_2 | Eq_x_3 != Eq_y_3 | Eq_x_4 != Eq_y_4 | ~sP6(Eq_x_0, Eq_x_1, Eq_x_2, Eq_x_3, Eq_x_4) | sP6(Eq_y_0, Eq_y_1, Eq_y_2, Eq_y_3, Eq_y_4) ),
% 32.66/33.01 theory(equality,[substitution_predicates]) ).
% 32.66/33.01
% 32.66/33.01 cnf(equality_103, axiom,
% 32.66/33.01 ( Eq_x_0 != Eq_y_0 | Eq_x_1 != Eq_y_1 | Eq_x_2 != Eq_y_2 | Eq_x_3 != Eq_y_3 | Eq_x_4 != Eq_y_4 | Eq_x_5 != Eq_y_5 | ~sP7(Eq_x_0, Eq_x_1, Eq_x_2, Eq_x_3, Eq_x_4, Eq_x_5) | sP7(Eq_y_0, Eq_y_1, Eq_y_2, Eq_y_3, Eq_y_4, Eq_y_5) ),
% 32.66/33.01 theory(equality,[substitution_predicates]) ).
% 32.66/33.01
% 32.66/33.01 cnf(equality_104, axiom,
% 32.66/33.01 ( Eq_x_0 != Eq_y_0 | Eq_x_1 != Eq_y_1 | Eq_x_2 != Eq_y_2 | ~sP8(Eq_x_0, Eq_x_1, Eq_x_2) | sP8(Eq_y_0, Eq_y_1, Eq_y_2) ),
% 32.66/33.01 theory(equality,[substitution_predicates]) ).
% 32.66/33.01
% 32.66/33.01 cnf(equality_105, axiom,
% 32.66/33.01 ( Eq_x_0 != Eq_y_0 | Eq_x_1 != Eq_y_1 | Eq_x_2 != Eq_y_2 | ~sP9(Eq_x_0, Eq_x_1, Eq_x_2) | sP9(Eq_y_0, Eq_y_1, Eq_y_2) ),
% 32.66/33.01 theory(equality,[substitution_predicates]) ).
% 32.66/33.01
% 32.66/33.01 cnf(equality_106, axiom,
% 32.66/33.01 ( Eq_x_0 != Eq_y_0 | Eq_x_1 != Eq_y_1 | Eq_x_2 != Eq_y_2 | ~sP10(Eq_x_0, Eq_x_1, Eq_x_2) | sP10(Eq_y_0, Eq_y_1, Eq_y_2) ),
% 32.66/33.01 theory(equality,[substitution_predicates]) ).
% 32.66/33.01
% 32.66/33.01 cnf(equality_107, axiom,
% 32.66/33.01 ( Eq_x_0 != Eq_y_0 | Eq_x_1 != Eq_y_1 | Eq_x_2 != Eq_y_2 | Eq_x_3 != Eq_y_3 | ~sP11(Eq_x_0, Eq_x_1, Eq_x_2, Eq_x_3) | sP11(Eq_y_0, Eq_y_1, Eq_y_2, Eq_y_3) ),
% 32.66/33.01 theory(equality,[substitution_predicates]) ).
% 32.66/33.01
% 32.66/33.01 cnf(equality_108, axiom,
% 32.66/33.01 ( Eq_x_0 != Eq_y_0 | Eq_x_1 != Eq_y_1 | Eq_x_2 != Eq_y_2 | Eq_x_3 != Eq_y_3 | ~sP12(Eq_x_0, Eq_x_1, Eq_x_2, Eq_x_3) | sP12(Eq_y_0, Eq_y_1, Eq_y_2, Eq_y_3) ),
% 32.66/33.01 theory(equality,[substitution_predicates]) ).
% 32.66/33.01
% 32.66/33.01 cnf(equality_109, axiom,
% 32.66/33.01 ( Eq_x_0 != Eq_y_0 | Eq_x_1 != Eq_y_1 | Eq_x_2 != Eq_y_2 | Eq_x_3 != Eq_y_3 | ~sP13(Eq_x_0, Eq_x_1, Eq_x_2, Eq_x_3) | sP13(Eq_y_0, Eq_y_1, Eq_y_2, Eq_y_3) ),
% 32.66/33.01 theory(equality,[substitution_predicates]) ).
% 32.66/33.01
% 32.66/33.01 cnf(equality_110, axiom,
% 32.66/33.01 ( Eq_x_0 != Eq_y_0 | Eq_x_1 != Eq_y_1 | Eq_x_2 != Eq_y_2 | Eq_x_3 != Eq_y_3 | ~sP14(Eq_x_0, Eq_x_1, Eq_x_2, Eq_x_3) | sP14(Eq_y_0, Eq_y_1, Eq_y_2, Eq_y_3) ),
% 32.66/33.01 theory(equality,[substitution_predicates]) ).
% 32.66/33.01
% 32.66/33.01 cnf(equality_111, axiom,
% 32.66/33.01 ( Eq_x_0 != Eq_y_0 | Eq_x_1 != Eq_y_1 | Eq_x_2 != Eq_y_2 | Eq_x_3 != Eq_y_3 | ~sP15(Eq_x_0, Eq_x_1, Eq_x_2, Eq_x_3) | sP15(Eq_y_0, Eq_y_1, Eq_y_2, Eq_y_3) ),
% 32.66/33.01 theory(equality,[substitution_predicates]) ).
% 32.66/33.01
% 32.66/33.01 cnf(equality_112, axiom,
% 32.66/33.01 ( Eq_x_0 != Eq_y_0 | Eq_x_1 != Eq_y_1 | Eq_x_2 != Eq_y_2 | Eq_x_3 != Eq_y_3 | ~sP16(Eq_x_0, Eq_x_1, Eq_x_2, Eq_x_3) | sP16(Eq_y_0, Eq_y_1, Eq_y_2, Eq_y_3) ),
% 32.66/33.01 theory(equality,[substitution_predicates]) ).
% 32.66/33.01
% 32.66/33.01 cnf(equality_113, axiom,
% 32.66/33.01 ( Eq_x_0 != Eq_y_0 | Eq_x_1 != Eq_y_1 | ~sP17(Eq_x_0, Eq_x_1) | sP17(Eq_y_0, Eq_y_1) ),
% 32.66/33.01 theory(equality,[substitution_predicates]) ).
% 32.66/33.01
% 32.66/33.01 cnf(equality_114, axiom,
% 32.66/33.01 ( Eq_x_0 != Eq_y_0 | Eq_x_1 != Eq_y_1 | ~sP18(Eq_x_0, Eq_x_1) | sP18(Eq_y_0, Eq_y_1) ),
% 32.66/33.01 theory(equality,[substitution_predicates]) ).
% 32.66/33.01
% 32.66/33.01 cnf(equality_115, axiom,
% 32.66/33.01 ( Eq_x_0 != Eq_y_0 | Eq_x_1 != Eq_y_1 | ~sP19(Eq_x_0, Eq_x_1) | sP19(Eq_y_0, Eq_y_1) ),
% 32.66/33.01 theory(equality,[substitution_predicates]) ).
% 32.66/33.01
% 32.66/33.01 cnf(equality_116, axiom,
% 32.66/33.01 ( Eq_x_0 != Eq_y_0 | Eq_x_1 != Eq_y_1 | ~sP20(Eq_x_0, Eq_x_1) | sP20(Eq_y_0, Eq_y_1) ),
% 32.66/33.01 theory(equality,[substitution_predicates]) ).
% 32.66/33.01
% 32.66/33.01 cnf(equality_117, axiom,
% 32.66/33.01 ( Eq_x_0 != Eq_y_0 | Eq_x_1 != Eq_y_1 | ~sP21(Eq_x_0, Eq_x_1) | sP21(Eq_y_0, Eq_y_1) ),
% 32.66/33.01 theory(equality,[substitution_predicates]) ).
% 32.66/33.01
% 32.66/33.01 cnf(equality_118, axiom,
% 32.66/33.01 ( Eq_x_0 != Eq_y_0 | Eq_x_1 != Eq_y_1 | Eq_x_2 != Eq_y_2 | Eq_x_3 != Eq_y_3 | Eq_x_4 != Eq_y_4 | ~sP22(Eq_x_0, Eq_x_1, Eq_x_2, Eq_x_3, Eq_x_4) | sP22(Eq_y_0, Eq_y_1, Eq_y_2, Eq_y_3, Eq_y_4) ),
% 32.66/33.01 theory(equality,[substitution_predicates]) ).
% 32.66/33.01
% 32.66/33.01 cnf(equality_119, axiom,
% 32.66/33.01 ( Eq_x_0 != Eq_y_0 | Eq_x_1 != Eq_y_1 | Eq_x_2 != Eq_y_2 | Eq_x_3 != Eq_y_3 | Eq_x_4 != Eq_y_4 | ~sP23(Eq_x_0, Eq_x_1, Eq_x_2, Eq_x_3, Eq_x_4) | sP23(Eq_y_0, Eq_y_1, Eq_y_2, Eq_y_3, Eq_y_4) ),
% 32.66/33.01 theory(equality,[substitution_predicates]) ).
% 32.66/33.01
% 32.66/33.01 cnf(equality_120, axiom,
% 32.66/33.01 ( Eq_x_0 != Eq_y_0 | Eq_x_1 != Eq_y_1 | Eq_x_2 != Eq_y_2 | Eq_x_3 != Eq_y_3 | ~sP24(Eq_x_0, Eq_x_1, Eq_x_2, Eq_x_3) | sP24(Eq_y_0, Eq_y_1, Eq_y_2, Eq_y_3) ),
% 32.66/33.01 theory(equality,[substitution_predicates]) ).
% 32.66/33.01
% 32.66/33.01 cnf(equality_121, axiom,
% 32.66/33.01 ( Eq_x_0 != Eq_y_0 | Eq_x_1 != Eq_y_1 | Eq_x_2 != Eq_y_2 | ~sP25(Eq_x_0, Eq_x_1, Eq_x_2) | sP25(Eq_y_0, Eq_y_1, Eq_y_2) ),
% 32.66/33.01 theory(equality,[substitution_predicates]) ).
% 32.66/33.01
% 32.66/33.01 cnf(equality_122, axiom,
% 32.66/33.01 ( Eq_x_0 != Eq_y_0 | Eq_x_1 != Eq_y_1 | Eq_x_2 != Eq_y_2 | ~sP26(Eq_x_0, Eq_x_1, Eq_x_2) | sP26(Eq_y_0, Eq_y_1, Eq_y_2) ),
% 32.66/33.01 theory(equality,[substitution_predicates]) ).
% 32.66/33.01
% 32.66/33.01 cnf(equality_123, axiom,
% 32.66/33.01 ( Eq_x_0 != Eq_y_0 | Eq_x_1 != Eq_y_1 | Eq_x_2 != Eq_y_2 | ~sP27(Eq_x_0, Eq_x_1, Eq_x_2) | sP27(Eq_y_0, Eq_y_1, Eq_y_2) ),
% 32.66/33.01 theory(equality,[substitution_predicates]) ).
% 32.66/33.01
% 32.66/33.01 cnf(sat_proved, plain, $false,
% 32.66/33.01 inference(cadical, [status(thm)], [
% 32.66/33.03 ]) ).
% 32.66/33.03 % SZS output end Proof for theBenchmark
%------------------------------------------------------------------------------