TSTP Solution File: NUM604+1 by Princess---230619
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%------------------------------------------------------------------------------
% File : Princess---230619
% Problem : NUM604+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp
% Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s
% Computer : n012.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Aug 31 11:48:54 EDT 2023
% Result : Theorem 110.37s 15.40s
% Output : Proof 110.77s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : NUM604+1 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.13 % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s
% 0.13/0.34 % Computer : n012.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Fri Aug 25 15:30:26 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.19/0.62 ________ _____
% 0.19/0.62 ___ __ \_________(_)________________________________
% 0.19/0.62 __ /_/ /_ ___/_ /__ __ \ ___/ _ \_ ___/_ ___/
% 0.19/0.62 _ ____/_ / _ / _ / / / /__ / __/(__ )_(__ )
% 0.19/0.62 /_/ /_/ /_/ /_/ /_/\___/ \___//____/ /____/
% 0.19/0.62
% 0.19/0.62 A Theorem Prover for First-Order Logic modulo Linear Integer Arithmetic
% 0.19/0.62 (2023-06-19)
% 0.19/0.62
% 0.19/0.62 (c) Philipp Rümmer, 2009-2023
% 0.19/0.62 Contributors: Peter Backeman, Peter Baumgartner, Angelo Brillout, Zafer Esen,
% 0.19/0.62 Amanda Stjerna.
% 0.19/0.62 Free software under BSD-3-Clause.
% 0.19/0.62
% 0.19/0.62 For more information, visit http://www.philipp.ruemmer.org/princess.shtml
% 0.19/0.62
% 0.19/0.62 Loading /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 0.19/0.63 Running up to 7 provers in parallel.
% 0.19/0.65 Prover 0: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893
% 0.19/0.65 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1571432423
% 0.19/0.65 Prover 2: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1065072994
% 0.19/0.66 Prover 3: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996
% 0.19/0.66 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696
% 0.19/0.66 Prover 5: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288
% 0.19/0.66 Prover 6: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365
% 5.93/1.60 Prover 4: Preprocessing ...
% 5.93/1.60 Prover 1: Preprocessing ...
% 6.13/1.64 Prover 0: Preprocessing ...
% 6.13/1.64 Prover 2: Preprocessing ...
% 6.13/1.64 Prover 3: Preprocessing ...
% 6.13/1.64 Prover 5: Preprocessing ...
% 6.13/1.64 Prover 6: Preprocessing ...
% 15.64/2.91 Prover 1: Constructing countermodel ...
% 15.89/2.95 Prover 3: Constructing countermodel ...
% 15.89/2.97 Prover 6: Proving ...
% 16.48/3.05 Prover 5: Proving ...
% 18.08/3.32 Prover 2: Proving ...
% 21.50/3.78 Prover 4: Constructing countermodel ...
% 22.89/3.95 Prover 0: Proving ...
% 72.30/10.40 Prover 2: stopped
% 72.30/10.42 Prover 7: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470
% 73.57/10.56 Prover 7: Preprocessing ...
% 76.00/10.87 Prover 7: Constructing countermodel ...
% 99.73/13.98 Prover 5: stopped
% 99.73/13.98 Prover 8: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089
% 100.68/14.12 Prover 8: Preprocessing ...
% 102.77/14.40 Prover 8: Warning: ignoring some quantifiers
% 103.18/14.41 Prover 8: Constructing countermodel ...
% 110.37/15.39 Prover 7: Found proof (size 125)
% 110.37/15.39 Prover 7: proved (4958ms)
% 110.37/15.39 Prover 6: stopped
% 110.37/15.39 Prover 3: stopped
% 110.37/15.39 Prover 8: stopped
% 110.37/15.39 Prover 4: stopped
% 110.37/15.40 Prover 1: stopped
% 110.37/15.40 Prover 0: stopped
% 110.37/15.40
% 110.37/15.40 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 110.37/15.40
% 110.77/15.41 % SZS output start Proof for theBenchmark
% 110.77/15.42 Assumptions after simplification:
% 110.77/15.42 ---------------------------------
% 110.77/15.42
% 110.77/15.42 (mCountNFin_01)
% 110.77/15.42 $i(slcrc0) & ( ~ isCountable0(slcrc0) | ~ aSet0(slcrc0))
% 110.77/15.42
% 110.77/15.42 (mDefEmp)
% 110.77/15.43 $i(slcrc0) & aSet0(slcrc0) & ! [v0: $i] : (v0 = slcrc0 | ~ $i(v0) | ~
% 110.77/15.43 aSet0(v0) | ? [v1: $i] : ($i(v1) & aElementOf0(v1, v0))) & ! [v0: $i] : (
% 110.77/15.43 ~ $i(v0) | ~ aElementOf0(v0, slcrc0))
% 110.77/15.43
% 110.77/15.43 (mDefMin)
% 110.77/15.45 $i(szNzAzT0) & $i(slcrc0) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v2 = v1
% 110.77/15.45 | v0 = slcrc0 | ~ (szmzizndt0(v0) = v1) | ~ $i(v2) | ~ $i(v0) | ~
% 110.77/15.45 aSubsetOf0(v0, szNzAzT0) | ~ aElementOf0(v2, v0) | ? [v3: $i] : ($i(v3) &
% 110.77/15.45 aElementOf0(v3, v0) & ~ sdtlseqdt0(v2, v3))) & ! [v0: $i] : ! [v1: $i]
% 110.77/15.45 : ! [v2: $i] : (v0 = slcrc0 | ~ (szmzizndt0(v0) = v1) | ~ $i(v2) | ~
% 110.77/15.45 $i(v1) | ~ $i(v0) | ~ aSubsetOf0(v0, szNzAzT0) | ~ aElementOf0(v2, v0) |
% 110.77/15.45 sdtlseqdt0(v1, v2)) & ! [v0: $i] : ! [v1: $i] : (v0 = slcrc0 | ~
% 110.77/15.45 (szmzizndt0(v0) = v1) | ~ $i(v1) | ~ $i(v0) | ~ aSubsetOf0(v0, szNzAzT0)
% 110.77/15.45 | aElementOf0(v1, v0))
% 110.77/15.45
% 110.77/15.45 (mDefSeg)
% 110.77/15.46 $i(szNzAzT0) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~
% 110.77/15.46 (slbdtrb0(v0) = v1) | ~ (szszuzczcdt0(v2) = v3) | ~ $i(v2) | ~ $i(v1) |
% 110.77/15.46 ~ $i(v0) | ~ sdtlseqdt0(v3, v0) | ~ aElementOf0(v2, szNzAzT0) | ~
% 110.77/15.46 aElementOf0(v0, szNzAzT0) | aElementOf0(v2, v1)) & ! [v0: $i] : ! [v1: $i]
% 110.77/15.46 : ! [v2: $i] : ! [v3: $i] : ( ~ (slbdtrb0(v0) = v1) | ~ (szszuzczcdt0(v2) =
% 110.77/15.46 v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~ aElementOf0(v2, v1) | ~
% 110.77/15.46 aElementOf0(v0, szNzAzT0) | sdtlseqdt0(v3, v0)) & ! [v0: $i] : ! [v1: $i]
% 110.77/15.46 : ! [v2: $i] : ! [v3: $i] : ( ~ (slbdtrb0(v0) = v1) | ~ (szszuzczcdt0(v2) =
% 110.77/15.46 v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~ aElementOf0(v2, v1) | ~
% 110.77/15.46 aElementOf0(v0, szNzAzT0) | aElementOf0(v2, szNzAzT0)) & ! [v0: $i] : !
% 110.77/15.46 [v1: $i] : ! [v2: $i] : (v2 = v1 | ~ (slbdtrb0(v0) = v1) | ~ $i(v2) | ~
% 110.77/15.46 $i(v0) | ~ aElementOf0(v0, szNzAzT0) | ~ aSet0(v2) | ? [v3: $i] : ? [v4:
% 110.77/15.46 $i] : ($i(v3) & ( ~ aElementOf0(v3, v2) | ~ aElementOf0(v3, szNzAzT0) |
% 110.77/15.46 (szszuzczcdt0(v3) = v4 & $i(v4) & ~ sdtlseqdt0(v4, v0))) &
% 110.77/15.46 (aElementOf0(v3, v2) | (szszuzczcdt0(v3) = v4 & $i(v4) & sdtlseqdt0(v4,
% 110.77/15.46 v0) & aElementOf0(v3, szNzAzT0))))) & ! [v0: $i] : ! [v1: $i] : (
% 110.77/15.46 ~ (slbdtrb0(v0) = v1) | ~ $i(v1) | ~ $i(v0) | ~ aElementOf0(v0, szNzAzT0)
% 110.77/15.46 | aSet0(v1))
% 110.77/15.46
% 110.77/15.46 (mDefSub)
% 110.77/15.46 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ $i(v2) | ~ $i(v1) | ~ $i(v0) |
% 110.77/15.46 ~ aSubsetOf0(v1, v0) | ~ aElementOf0(v2, v1) | ~ aSet0(v0) |
% 110.77/15.46 aElementOf0(v2, v0)) & ! [v0: $i] : ! [v1: $i] : ( ~ $i(v1) | ~ $i(v0) |
% 110.77/15.46 ~ aSubsetOf0(v1, v0) | ~ aSet0(v0) | aSet0(v1)) & ! [v0: $i] : ! [v1: $i]
% 110.77/15.46 : ( ~ $i(v1) | ~ $i(v0) | ~ aSet0(v1) | ~ aSet0(v0) | aSubsetOf0(v1, v0) |
% 110.77/15.46 ? [v2: $i] : ($i(v2) & aElementOf0(v2, v1) & ~ aElementOf0(v2, v0)))
% 110.77/15.46
% 110.77/15.46 (mDirichlet)
% 110.77/15.46 ! [v0: $i] : ! [v1: $i] : ( ~ (szDzizrdt0(v0) = v1) | ~ $i(v0) | ~
% 110.77/15.46 aFunction0(v0) | ? [v2: $i] : ? [v3: $i] : ? [v4: $i] : ((sdtlbdtrb0(v0,
% 110.77/15.46 v1) = v4 & $i(v4) & isCountable0(v4) & aElement0(v1)) |
% 110.77/15.46 (szDzozmdt0(v0) = v2 & $i(v2) & ( ~ isCountable0(v2) | (sdtlcdtrc0(v0, v2)
% 110.77/15.46 = v3 & $i(v3) & ~ isFinite0(v3)))))) & ! [v0: $i] : ! [v1: $i] :
% 110.77/15.46 ( ~ (szDzozmdt0(v0) = v1) | ~ $i(v0) | ~ aFunction0(v0) | ~
% 110.77/15.46 isCountable0(v1) | ? [v2: $i] : ? [v3: $i] : ? [v4: $i] :
% 110.77/15.46 ((szDzizrdt0(v0) = v3 & sdtlbdtrb0(v0, v3) = v4 & $i(v4) & $i(v3) &
% 110.77/15.46 isCountable0(v4) & aElement0(v3)) | (sdtlcdtrc0(v0, v1) = v2 & $i(v2) &
% 110.77/15.46 ~ isFinite0(v2))))
% 110.77/15.46
% 110.77/15.46 (mImgRng)
% 110.77/15.46 ! [v0: $i] : ! [v1: $i] : ( ~ (szDzozmdt0(v0) = v1) | ~ $i(v0) | ~
% 110.77/15.46 aFunction0(v0) | ? [v2: $i] : (sdtlcdtrc0(v0, v1) = v2 & $i(v2) & ! [v3:
% 110.77/15.46 $i] : ! [v4: $i] : ( ~ (sdtlpdtrp0(v0, v3) = v4) | ~ $i(v3) | ~
% 110.77/15.46 aElementOf0(v3, v1) | aElementOf0(v4, v2))))
% 110.77/15.46
% 110.77/15.46 (mNATSet)
% 110.77/15.46 $i(szNzAzT0) & isCountable0(szNzAzT0) & aSet0(szNzAzT0)
% 110.77/15.46
% 110.77/15.46 (mSegZero)
% 110.77/15.46 slbdtrb0(sz00) = slcrc0 & $i(sz00) & $i(slcrc0)
% 110.77/15.46
% 110.77/15.46 (mSubFSet)
% 110.77/15.46 ! [v0: $i] : ! [v1: $i] : ( ~ $i(v1) | ~ $i(v0) | ~ aSubsetOf0(v1, v0) |
% 110.77/15.46 ~ isFinite0(v0) | ~ aSet0(v0) | isFinite0(v1))
% 110.77/15.46
% 110.77/15.46 (mZeroNum)
% 110.77/15.46 $i(sz00) & $i(szNzAzT0) & aElementOf0(sz00, szNzAzT0)
% 110.77/15.46
% 110.77/15.46 (m__)
% 110.77/15.47 $i(xx) & $i(xS) & ~ aElementOf0(xx, xS)
% 110.77/15.47
% 110.77/15.47 (m__3291)
% 110.77/15.47 $i(xT) & isFinite0(xT) & aSet0(xT)
% 110.77/15.47
% 110.77/15.47 (m__3435)
% 110.77/15.47 $i(xS) & $i(szNzAzT0) & aSubsetOf0(xS, szNzAzT0) & isCountable0(xS)
% 110.77/15.47
% 110.77/15.47 (m__3623)
% 110.77/15.47 sdtlpdtrp0(xN, sz00) = xS & szDzozmdt0(xN) = szNzAzT0 & $i(xN) & $i(xS) &
% 110.77/15.47 $i(sz00) & $i(szNzAzT0) & aFunction0(xN) & ! [v0: $i] : ! [v1: $i] : ( ~
% 110.77/15.47 (sdtlpdtrp0(xN, v0) = v1) | ~ $i(v0) | ~ aSubsetOf0(v1, szNzAzT0) | ~
% 110.77/15.47 isCountable0(v1) | ~ aElementOf0(v0, szNzAzT0) | ? [v2: $i] : ? [v3: $i]
% 110.77/15.47 : ? [v4: $i] : ? [v5: $i] : (sdtlpdtrp0(xN, v2) = v3 & szmzizndt0(v1) = v4
% 110.77/15.47 & szszuzczcdt0(v0) = v2 & sdtmndt0(v1, v4) = v5 & $i(v5) & $i(v4) & $i(v3)
% 110.77/15.47 & $i(v2) & aSubsetOf0(v3, v5) & isCountable0(v3))) & ! [v0: $i] : ! [v1:
% 110.77/15.47 $i] : ( ~ (szszuzczcdt0(v0) = v1) | ~ $i(v0) | ~ aElementOf0(v0, szNzAzT0)
% 110.77/15.47 | ? [v2: $i] : ? [v3: $i] : ? [v4: $i] : ? [v5: $i] : (sdtlpdtrp0(xN,
% 110.77/15.47 v0) = v2 & $i(v2) & ( ~ aSubsetOf0(v2, szNzAzT0) | ~ isCountable0(v2) |
% 110.77/15.47 (sdtlpdtrp0(xN, v1) = v3 & szmzizndt0(v2) = v4 & sdtmndt0(v2, v4) = v5 &
% 110.77/15.47 $i(v5) & $i(v4) & $i(v3) & aSubsetOf0(v3, v5) & isCountable0(v3)))))
% 110.77/15.47
% 110.77/15.47 (m__3671)
% 110.77/15.47 $i(xN) & $i(szNzAzT0) & ! [v0: $i] : ! [v1: $i] : ( ~ (sdtlpdtrp0(xN, v0) =
% 110.77/15.47 v1) | ~ $i(v0) | ~ aElementOf0(v0, szNzAzT0) | aSubsetOf0(v1, szNzAzT0))
% 110.77/15.47 & ! [v0: $i] : ! [v1: $i] : ( ~ (sdtlpdtrp0(xN, v0) = v1) | ~ $i(v0) | ~
% 110.77/15.47 aElementOf0(v0, szNzAzT0) | isCountable0(v1))
% 110.77/15.47
% 110.77/15.47 (m__4660)
% 110.77/15.47 szDzozmdt0(xe) = szNzAzT0 & $i(xe) & $i(xN) & $i(szNzAzT0) & aFunction0(xe) &
% 110.77/15.47 ! [v0: $i] : ! [v1: $i] : ( ~ (sdtlpdtrp0(xe, v0) = v1) | ~ $i(v0) | ~
% 110.77/15.47 aElementOf0(v0, szNzAzT0) | ? [v2: $i] : (sdtlpdtrp0(xN, v0) = v2 &
% 110.77/15.47 szmzizndt0(v2) = v1 & $i(v2) & $i(v1))) & ! [v0: $i] : ! [v1: $i] : ( ~
% 110.77/15.47 (sdtlpdtrp0(xN, v0) = v1) | ~ $i(v0) | ~ aElementOf0(v0, szNzAzT0) | ?
% 110.77/15.47 [v2: $i] : (sdtlpdtrp0(xe, v0) = v2 & szmzizndt0(v1) = v2 & $i(v2)))
% 110.77/15.47
% 110.77/15.47 (m__4730)
% 110.77/15.48 szDzozmdt0(xd) = szNzAzT0 & $i(xd) & $i(xC) & $i(xN) & $i(xk) & $i(szNzAzT0) &
% 110.77/15.48 aFunction0(xd) & ! [v0: $i] : ! [v1: $i] : ( ~ (sdtlpdtrp0(xd, v0) = v1) |
% 110.77/15.48 ~ $i(v0) | ~ aElementOf0(v0, szNzAzT0) | ? [v2: $i] : ? [v3: $i] : ?
% 110.77/15.48 [v4: $i] : ? [v5: $i] : (sdtlpdtrp0(xC, v0) = v5 & sdtlpdtrp0(xN, v2) = v3
% 110.77/15.48 & slbdtsldtrb0(v3, xk) = v4 & szszuzczcdt0(v0) = v2 & $i(v5) & $i(v4) &
% 110.77/15.48 $i(v3) & $i(v2) & ! [v6: $i] : ! [v7: $i] : (v7 = v1 | ~
% 110.77/15.48 (sdtlpdtrp0(v5, v6) = v7) | ~ $i(v6) | ~ aElementOf0(v6, v4) | ~
% 110.77/15.48 aSet0(v6)))) & ! [v0: $i] : ! [v1: $i] : ( ~ (sdtlpdtrp0(xC, v0) = v1)
% 110.77/15.48 | ~ $i(v0) | ~ aElementOf0(v0, szNzAzT0) | ? [v2: $i] : ? [v3: $i] : ?
% 110.77/15.48 [v4: $i] : ? [v5: $i] : (sdtlpdtrp0(xd, v0) = v5 & sdtlpdtrp0(xN, v2) = v3
% 110.77/15.48 & slbdtsldtrb0(v3, xk) = v4 & szszuzczcdt0(v0) = v2 & $i(v5) & $i(v4) &
% 110.77/15.48 $i(v3) & $i(v2) & ! [v6: $i] : ! [v7: $i] : (v7 = v5 | ~
% 110.77/15.48 (sdtlpdtrp0(v1, v6) = v7) | ~ $i(v6) | ~ aElementOf0(v6, v4) | ~
% 110.77/15.48 aSet0(v6)))) & ! [v0: $i] : ! [v1: $i] : ( ~ (szszuzczcdt0(v0) = v1) |
% 110.77/15.48 ~ $i(v0) | ~ aElementOf0(v0, szNzAzT0) | ? [v2: $i] : ? [v3: $i] : ?
% 110.77/15.48 [v4: $i] : ? [v5: $i] : (sdtlpdtrp0(xd, v0) = v4 & sdtlpdtrp0(xC, v0) = v5
% 110.77/15.48 & sdtlpdtrp0(xN, v1) = v2 & slbdtsldtrb0(v2, xk) = v3 & $i(v5) & $i(v4) &
% 110.77/15.48 $i(v3) & $i(v2) & ! [v6: $i] : ! [v7: $i] : (v7 = v4 | ~
% 110.77/15.48 (sdtlpdtrp0(v5, v6) = v7) | ~ $i(v6) | ~ aElementOf0(v6, v3) | ~
% 110.77/15.48 aSet0(v6))))
% 110.77/15.48
% 110.77/15.48 (m__4758)
% 110.77/15.48 $i(xd) & $i(xT) & ? [v0: $i] : ? [v1: $i] : (sdtlcdtrc0(xd, v0) = v1 &
% 110.77/15.48 szDzozmdt0(xd) = v0 & $i(v1) & $i(v0) & aSubsetOf0(v1, xT))
% 110.77/15.48
% 110.77/15.48 (m__4854)
% 110.77/15.48 $i(xd) & $i(xT) & ? [v0: $i] : ? [v1: $i] : (szDzizrdt0(xd) = v0 &
% 110.77/15.48 sdtlbdtrb0(xd, v0) = v1 & $i(v1) & $i(v0) & isCountable0(v1) &
% 110.77/15.48 aElementOf0(v0, xT))
% 110.77/15.48
% 110.77/15.48 (m__4891)
% 110.77/15.48 $i(xO) & $i(xd) & $i(xe) & ? [v0: $i] : ? [v1: $i] : (szDzizrdt0(xd) = v0 &
% 110.77/15.48 sdtlcdtrc0(xe, v1) = xO & sdtlbdtrb0(xd, v0) = v1 & $i(v1) & $i(v0) &
% 110.77/15.48 aSet0(xO))
% 110.77/15.48
% 110.77/15.48 (m__4908)
% 110.77/15.48 $i(xO) & isCountable0(xO) & aSet0(xO)
% 110.77/15.48
% 110.77/15.48 (m__4982)
% 110.77/15.48 $i(xO) & $i(xd) & $i(xe) & $i(szNzAzT0) & ? [v0: $i] : ? [v1: $i] :
% 110.77/15.48 (szDzizrdt0(xd) = v0 & sdtlbdtrb0(xd, v0) = v1 & $i(v1) & $i(v0) & ! [v2: $i]
% 110.77/15.48 : ( ~ $i(v2) | ~ aElementOf0(v2, xO) | ? [v3: $i] : (sdtlpdtrp0(xe, v3) =
% 110.77/15.48 v2 & $i(v3) & aElementOf0(v3, v1) & aElementOf0(v3, szNzAzT0))))
% 110.77/15.48
% 110.77/15.48 (m__5009)
% 110.77/15.48 $i(xx) & $i(xO) & aElementOf0(xx, xO)
% 110.77/15.48
% 110.77/15.48 (m__5034)
% 110.77/15.48 sdtlpdtrp0(xe, xi) = xx & $i(xi) & $i(xx) & $i(xe) & $i(szNzAzT0) &
% 110.77/15.48 aElementOf0(xi, szNzAzT0)
% 110.77/15.48
% 110.77/15.48 (m__5045)
% 110.77/15.48 $i(xi) & $i(xN) & $i(xS) & ? [v0: $i] : (sdtlpdtrp0(xN, xi) = v0 & $i(v0) &
% 110.77/15.48 aSubsetOf0(v0, xS))
% 110.77/15.48
% 110.77/15.48 (function-axioms)
% 110.77/15.49 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 110.77/15.49 (sdtexdt0(v3, v2) = v1) | ~ (sdtexdt0(v3, v2) = v0)) & ! [v0: $i] : !
% 110.77/15.49 [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ (sdtlcdtrc0(v3, v2) = v1)
% 110.77/15.49 | ~ (sdtlcdtrc0(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] :
% 110.77/15.49 ! [v3: $i] : (v1 = v0 | ~ (sdtlbdtrb0(v3, v2) = v1) | ~ (sdtlbdtrb0(v3, v2)
% 110.77/15.49 = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0
% 110.77/15.49 | ~ (sdtlpdtrp0(v3, v2) = v1) | ~ (sdtlpdtrp0(v3, v2) = v0)) & ! [v0: $i]
% 110.77/15.49 : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ (slbdtsldtrb0(v3,
% 110.77/15.49 v2) = v1) | ~ (slbdtsldtrb0(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i]
% 110.77/15.49 : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ (sdtmndt0(v3, v2) = v1) | ~
% 110.77/15.49 (sdtmndt0(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3:
% 110.77/15.49 $i] : (v1 = v0 | ~ (sdtpldt0(v3, v2) = v1) | ~ (sdtpldt0(v3, v2) = v0)) &
% 110.77/15.49 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (szDzizrdt0(v2) = v1) |
% 110.77/15.49 ~ (szDzizrdt0(v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 =
% 110.77/15.49 v0 | ~ (szDzozmdt0(v2) = v1) | ~ (szDzozmdt0(v2) = v0)) & ! [v0: $i] : !
% 110.77/15.49 [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (slbdtrb0(v2) = v1) | ~ (slbdtrb0(v2)
% 110.77/15.49 = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~
% 110.77/15.49 (szmzazxdt0(v2) = v1) | ~ (szmzazxdt0(v2) = v0)) & ! [v0: $i] : ! [v1:
% 110.77/15.49 $i] : ! [v2: $i] : (v1 = v0 | ~ (szmzizndt0(v2) = v1) | ~ (szmzizndt0(v2)
% 110.77/15.49 = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~
% 110.77/15.49 (sbrdtbr0(v2) = v1) | ~ (sbrdtbr0(v2) = v0)) & ! [v0: $i] : ! [v1: $i] :
% 110.77/15.49 ! [v2: $i] : (v1 = v0 | ~ (szszuzczcdt0(v2) = v1) | ~ (szszuzczcdt0(v2) =
% 110.77/15.49 v0))
% 110.77/15.49
% 110.77/15.49 Further assumptions not needed in the proof:
% 110.77/15.49 --------------------------------------------
% 110.77/15.49 mCConsSet, mCDiffSet, mCardCons, mCardDiff, mCardEmpty, mCardNum, mCardS,
% 110.77/15.49 mCardSeg, mCardSub, mCardSubEx, mCntRel, mConsDiff, mCountNFin, mDefCons,
% 110.77/15.49 mDefDiff, mDefMax, mDefPtt, mDefRst, mDefSImg, mDefSel, mDiffCons, mDomSet,
% 110.77/15.49 mEOfElem, mElmSort, mEmpFin, mFConsSet, mFDiffSet, mFinRel, mFinSubSeg,
% 110.77/15.49 mFunSort, mIH, mIHSort, mImgCount, mImgElm, mLessASymm, mLessRefl, mLessRel,
% 110.77/15.49 mLessSucc, mLessTotal, mLessTrans, mMinMin, mNatExtra, mNatNSucc, mNoScLessZr,
% 110.77/15.49 mPttSet, mSegFin, mSegLess, mSegSucc, mSelCSet, mSelExtra, mSelFSet, mSelNSet,
% 110.77/15.49 mSelSub, mSetSort, mSubASymm, mSubRefl, mSubTrans, mSuccEquSucc, mSuccLess,
% 110.77/15.49 mSuccNum, mZeroLess, m__3398, m__3418, m__3453, m__3462, m__3520, m__3533,
% 110.77/15.49 m__3754, m__3821, m__3965, m__4151, m__4182, m__4331, m__4411, m__4618
% 110.77/15.49
% 110.77/15.49 Those formulas are unsatisfiable:
% 110.77/15.49 ---------------------------------
% 110.77/15.49
% 110.77/15.49 Begin of proof
% 110.77/15.49 |
% 110.77/15.49 | ALPHA: (mDefEmp) implies:
% 110.77/15.49 | (1) aSet0(slcrc0)
% 110.77/15.49 |
% 110.77/15.49 | ALPHA: (mCountNFin_01) implies:
% 110.77/15.49 | (2) ~ isCountable0(slcrc0) | ~ aSet0(slcrc0)
% 110.77/15.49 |
% 110.77/15.49 | ALPHA: (mDefSub) implies:
% 110.77/15.49 | (3) ! [v0: $i] : ! [v1: $i] : ( ~ $i(v1) | ~ $i(v0) | ~ aSubsetOf0(v1,
% 110.77/15.49 | v0) | ~ aSet0(v0) | aSet0(v1))
% 110.77/15.49 | (4) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ $i(v2) | ~ $i(v1) | ~
% 110.77/15.49 | $i(v0) | ~ aSubsetOf0(v1, v0) | ~ aElementOf0(v2, v1) | ~
% 110.77/15.49 | aSet0(v0) | aElementOf0(v2, v0))
% 110.77/15.49 |
% 110.77/15.49 | ALPHA: (mNATSet) implies:
% 110.77/15.49 | (5) aSet0(szNzAzT0)
% 110.77/15.49 | (6) isCountable0(szNzAzT0)
% 110.77/15.49 |
% 110.77/15.49 | ALPHA: (mZeroNum) implies:
% 110.77/15.49 | (7) aElementOf0(sz00, szNzAzT0)
% 110.77/15.49 |
% 110.77/15.49 | ALPHA: (mDefMin) implies:
% 110.77/15.49 | (8) ! [v0: $i] : ! [v1: $i] : (v0 = slcrc0 | ~ (szmzizndt0(v0) = v1) |
% 110.77/15.49 | ~ $i(v1) | ~ $i(v0) | ~ aSubsetOf0(v0, szNzAzT0) | aElementOf0(v1,
% 110.77/15.49 | v0))
% 110.77/15.49 |
% 110.77/15.49 | ALPHA: (mDefSeg) implies:
% 110.77/15.49 | (9) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v2 = v1 | ~ (slbdtrb0(v0) =
% 110.77/15.49 | v1) | ~ $i(v2) | ~ $i(v0) | ~ aElementOf0(v0, szNzAzT0) | ~
% 110.77/15.49 | aSet0(v2) | ? [v3: $i] : ? [v4: $i] : ($i(v3) & ( ~ aElementOf0(v3,
% 110.77/15.49 | v2) | ~ aElementOf0(v3, szNzAzT0) | (szszuzczcdt0(v3) = v4 &
% 110.77/15.49 | $i(v4) & ~ sdtlseqdt0(v4, v0))) & (aElementOf0(v3, v2) |
% 110.77/15.49 | (szszuzczcdt0(v3) = v4 & $i(v4) & sdtlseqdt0(v4, v0) &
% 110.77/15.49 | aElementOf0(v3, szNzAzT0)))))
% 110.77/15.50 |
% 110.77/15.50 | ALPHA: (mSegZero) implies:
% 110.77/15.50 | (10) slbdtrb0(sz00) = slcrc0
% 110.77/15.50 |
% 110.77/15.50 | ALPHA: (mDirichlet) implies:
% 110.77/15.50 | (11) ! [v0: $i] : ! [v1: $i] : ( ~ (szDzozmdt0(v0) = v1) | ~ $i(v0) | ~
% 110.77/15.50 | aFunction0(v0) | ~ isCountable0(v1) | ? [v2: $i] : ? [v3: $i] :
% 110.77/15.50 | ? [v4: $i] : ((szDzizrdt0(v0) = v3 & sdtlbdtrb0(v0, v3) = v4 &
% 110.77/15.50 | $i(v4) & $i(v3) & isCountable0(v4) & aElement0(v3)) |
% 110.77/15.50 | (sdtlcdtrc0(v0, v1) = v2 & $i(v2) & ~ isFinite0(v2))))
% 110.77/15.50 | (12) ! [v0: $i] : ! [v1: $i] : ( ~ (szDzizrdt0(v0) = v1) | ~ $i(v0) | ~
% 110.77/15.50 | aFunction0(v0) | ? [v2: $i] : ? [v3: $i] : ? [v4: $i] :
% 110.77/15.50 | ((sdtlbdtrb0(v0, v1) = v4 & $i(v4) & isCountable0(v4) &
% 110.77/15.50 | aElement0(v1)) | (szDzozmdt0(v0) = v2 & $i(v2) & ( ~
% 110.77/15.50 | isCountable0(v2) | (sdtlcdtrc0(v0, v2) = v3 & $i(v3) & ~
% 110.77/15.50 | isFinite0(v3))))))
% 110.77/15.50 |
% 110.77/15.50 | ALPHA: (m__3291) implies:
% 110.77/15.50 | (13) aSet0(xT)
% 110.77/15.50 | (14) isFinite0(xT)
% 110.77/15.50 |
% 110.77/15.50 | ALPHA: (m__3435) implies:
% 110.77/15.50 | (15) aSubsetOf0(xS, szNzAzT0)
% 110.77/15.50 |
% 110.77/15.50 | ALPHA: (m__3623) implies:
% 110.77/15.50 | (16) $i(sz00)
% 110.77/15.50 |
% 110.77/15.50 | ALPHA: (m__3671) implies:
% 110.77/15.50 | (17) ! [v0: $i] : ! [v1: $i] : ( ~ (sdtlpdtrp0(xN, v0) = v1) | ~ $i(v0)
% 110.77/15.50 | | ~ aElementOf0(v0, szNzAzT0) | isCountable0(v1))
% 110.77/15.50 | (18) ! [v0: $i] : ! [v1: $i] : ( ~ (sdtlpdtrp0(xN, v0) = v1) | ~ $i(v0)
% 110.77/15.50 | | ~ aElementOf0(v0, szNzAzT0) | aSubsetOf0(v1, szNzAzT0))
% 110.77/15.50 |
% 110.77/15.50 | ALPHA: (m__4660) implies:
% 110.77/15.50 | (19) ! [v0: $i] : ! [v1: $i] : ( ~ (sdtlpdtrp0(xN, v0) = v1) | ~ $i(v0)
% 110.77/15.50 | | ~ aElementOf0(v0, szNzAzT0) | ? [v2: $i] : (sdtlpdtrp0(xe, v0) =
% 110.77/15.50 | v2 & szmzizndt0(v1) = v2 & $i(v2)))
% 110.77/15.50 | (20) ! [v0: $i] : ! [v1: $i] : ( ~ (sdtlpdtrp0(xe, v0) = v1) | ~ $i(v0)
% 110.77/15.50 | | ~ aElementOf0(v0, szNzAzT0) | ? [v2: $i] : (sdtlpdtrp0(xN, v0) =
% 110.77/15.50 | v2 & szmzizndt0(v2) = v1 & $i(v2) & $i(v1)))
% 110.77/15.50 |
% 110.77/15.50 | ALPHA: (m__4730) implies:
% 110.77/15.50 | (21) aFunction0(xd)
% 110.77/15.50 | (22) szDzozmdt0(xd) = szNzAzT0
% 110.77/15.50 |
% 110.77/15.50 | ALPHA: (m__4758) implies:
% 110.77/15.50 | (23) ? [v0: $i] : ? [v1: $i] : (sdtlcdtrc0(xd, v0) = v1 & szDzozmdt0(xd)
% 110.77/15.50 | = v0 & $i(v1) & $i(v0) & aSubsetOf0(v1, xT))
% 110.77/15.50 |
% 110.77/15.50 | ALPHA: (m__4854) implies:
% 110.77/15.50 | (24) $i(xT)
% 110.77/15.50 | (25) ? [v0: $i] : ? [v1: $i] : (szDzizrdt0(xd) = v0 & sdtlbdtrb0(xd, v0)
% 110.77/15.50 | = v1 & $i(v1) & $i(v0) & isCountable0(v1) & aElementOf0(v0, xT))
% 110.77/15.50 |
% 110.77/15.50 | ALPHA: (m__4891) implies:
% 110.77/15.50 | (26) ? [v0: $i] : ? [v1: $i] : (szDzizrdt0(xd) = v0 & sdtlcdtrc0(xe, v1)
% 110.77/15.50 | = xO & sdtlbdtrb0(xd, v0) = v1 & $i(v1) & $i(v0) & aSet0(xO))
% 110.77/15.50 |
% 110.77/15.50 | ALPHA: (m__4908) implies:
% 110.77/15.50 | (27) isCountable0(xO)
% 110.77/15.50 |
% 110.77/15.50 | ALPHA: (m__4982) implies:
% 110.77/15.50 | (28) $i(xd)
% 110.77/15.51 | (29) ? [v0: $i] : ? [v1: $i] : (szDzizrdt0(xd) = v0 & sdtlbdtrb0(xd, v0)
% 110.77/15.51 | = v1 & $i(v1) & $i(v0) & ! [v2: $i] : ( ~ $i(v2) | ~
% 110.77/15.51 | aElementOf0(v2, xO) | ? [v3: $i] : (sdtlpdtrp0(xe, v3) = v2 &
% 110.77/15.51 | $i(v3) & aElementOf0(v3, v1) & aElementOf0(v3, szNzAzT0))))
% 110.77/15.51 |
% 110.77/15.51 | ALPHA: (m__5009) implies:
% 110.77/15.51 | (30) $i(xO)
% 110.77/15.51 |
% 110.77/15.51 | ALPHA: (m__5034) implies:
% 110.77/15.51 | (31) aElementOf0(xi, szNzAzT0)
% 110.77/15.51 | (32) sdtlpdtrp0(xe, xi) = xx
% 110.77/15.51 |
% 110.77/15.51 | ALPHA: (m__5045) implies:
% 110.77/15.51 | (33) $i(xi)
% 110.77/15.51 | (34) ? [v0: $i] : (sdtlpdtrp0(xN, xi) = v0 & $i(v0) & aSubsetOf0(v0, xS))
% 110.77/15.51 |
% 110.77/15.51 | ALPHA: (m__) implies:
% 110.77/15.51 | (35) ~ aElementOf0(xx, xS)
% 110.77/15.51 | (36) $i(xS)
% 110.77/15.51 |
% 110.77/15.51 | ALPHA: (function-axioms) implies:
% 110.77/15.51 | (37) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~
% 110.77/15.51 | (szDzozmdt0(v2) = v1) | ~ (szDzozmdt0(v2) = v0))
% 110.77/15.51 | (38) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~
% 110.77/15.51 | (szDzizrdt0(v2) = v1) | ~ (szDzizrdt0(v2) = v0))
% 110.77/15.51 | (39) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 110.77/15.51 | (sdtlpdtrp0(v3, v2) = v1) | ~ (sdtlpdtrp0(v3, v2) = v0))
% 110.77/15.51 | (40) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 110.77/15.51 | (sdtlbdtrb0(v3, v2) = v1) | ~ (sdtlbdtrb0(v3, v2) = v0))
% 110.77/15.51 | (41) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 110.77/15.51 | (sdtlcdtrc0(v3, v2) = v1) | ~ (sdtlcdtrc0(v3, v2) = v0))
% 110.77/15.51 |
% 110.77/15.51 | DELTA: instantiating (34) with fresh symbol all_76_0 gives:
% 110.77/15.51 | (42) sdtlpdtrp0(xN, xi) = all_76_0 & $i(all_76_0) & aSubsetOf0(all_76_0,
% 110.77/15.51 | xS)
% 110.77/15.51 |
% 110.77/15.51 | ALPHA: (42) implies:
% 110.77/15.51 | (43) aSubsetOf0(all_76_0, xS)
% 110.77/15.51 | (44) sdtlpdtrp0(xN, xi) = all_76_0
% 110.77/15.51 |
% 110.77/15.51 | DELTA: instantiating (23) with fresh symbols all_78_0, all_78_1 gives:
% 110.77/15.51 | (45) sdtlcdtrc0(xd, all_78_1) = all_78_0 & szDzozmdt0(xd) = all_78_1 &
% 110.77/15.51 | $i(all_78_0) & $i(all_78_1) & aSubsetOf0(all_78_0, xT)
% 110.77/15.51 |
% 110.77/15.51 | ALPHA: (45) implies:
% 110.77/15.51 | (46) aSubsetOf0(all_78_0, xT)
% 110.77/15.51 | (47) $i(all_78_1)
% 110.77/15.51 | (48) $i(all_78_0)
% 110.77/15.51 | (49) szDzozmdt0(xd) = all_78_1
% 110.77/15.51 | (50) sdtlcdtrc0(xd, all_78_1) = all_78_0
% 110.77/15.51 |
% 110.77/15.51 | DELTA: instantiating (25) with fresh symbols all_80_0, all_80_1 gives:
% 110.77/15.51 | (51) szDzizrdt0(xd) = all_80_1 & sdtlbdtrb0(xd, all_80_1) = all_80_0 &
% 110.77/15.51 | $i(all_80_0) & $i(all_80_1) & isCountable0(all_80_0) &
% 110.77/15.51 | aElementOf0(all_80_1, xT)
% 110.77/15.51 |
% 110.77/15.51 | ALPHA: (51) implies:
% 110.77/15.51 | (52) szDzizrdt0(xd) = all_80_1
% 110.77/15.51 |
% 110.77/15.51 | DELTA: instantiating (26) with fresh symbols all_82_0, all_82_1 gives:
% 110.77/15.51 | (53) szDzizrdt0(xd) = all_82_1 & sdtlcdtrc0(xe, all_82_0) = xO &
% 110.77/15.51 | sdtlbdtrb0(xd, all_82_1) = all_82_0 & $i(all_82_0) & $i(all_82_1) &
% 110.77/15.51 | aSet0(xO)
% 110.77/15.51 |
% 110.77/15.51 | ALPHA: (53) implies:
% 110.77/15.51 | (54) aSet0(xO)
% 110.77/15.51 | (55) sdtlbdtrb0(xd, all_82_1) = all_82_0
% 110.77/15.51 | (56) szDzizrdt0(xd) = all_82_1
% 110.77/15.51 |
% 110.77/15.51 | DELTA: instantiating (29) with fresh symbols all_86_0, all_86_1 gives:
% 110.77/15.51 | (57) szDzizrdt0(xd) = all_86_1 & sdtlbdtrb0(xd, all_86_1) = all_86_0 &
% 110.77/15.51 | $i(all_86_0) & $i(all_86_1) & ! [v0: $i] : ( ~ $i(v0) | ~
% 110.77/15.51 | aElementOf0(v0, xO) | ? [v1: $i] : (sdtlpdtrp0(xe, v1) = v0 &
% 110.77/15.51 | $i(v1) & aElementOf0(v1, all_86_0) & aElementOf0(v1, szNzAzT0)))
% 110.77/15.51 |
% 110.77/15.51 | ALPHA: (57) implies:
% 110.77/15.51 | (58) sdtlbdtrb0(xd, all_86_1) = all_86_0
% 110.77/15.51 | (59) szDzizrdt0(xd) = all_86_1
% 110.77/15.51 |
% 110.77/15.51 | BETA: splitting (2) gives:
% 110.77/15.51 |
% 110.77/15.52 | Case 1:
% 110.77/15.52 | |
% 110.77/15.52 | | (60) ~ isCountable0(slcrc0)
% 110.77/15.52 | |
% 110.77/15.52 | | GROUND_INST: instantiating (37) with szNzAzT0, all_78_1, xd, simplifying
% 110.77/15.52 | | with (22), (49) gives:
% 110.77/15.52 | | (61) all_78_1 = szNzAzT0
% 110.77/15.52 | |
% 110.77/15.52 | | GROUND_INST: instantiating (40) with all_82_0, all_86_0, all_82_1, xd,
% 110.77/15.52 | | simplifying with (55) gives:
% 110.77/15.52 | | (62) all_86_0 = all_82_0 | ~ (sdtlbdtrb0(xd, all_82_1) = all_86_0)
% 110.77/15.52 | |
% 110.77/15.52 | | GROUND_INST: instantiating (38) with all_82_1, all_86_1, xd, simplifying
% 110.77/15.52 | | with (56), (59) gives:
% 110.77/15.52 | | (63) all_86_1 = all_82_1
% 110.77/15.52 | |
% 110.77/15.52 | | GROUND_INST: instantiating (38) with all_80_1, all_86_1, xd, simplifying
% 110.77/15.52 | | with (52), (59) gives:
% 110.77/15.52 | | (64) all_86_1 = all_80_1
% 110.77/15.52 | |
% 110.77/15.52 | | PRED_UNIFY: (27), (60) imply:
% 110.77/15.52 | | (65) ~ (xO = slcrc0)
% 110.77/15.52 | |
% 110.77/15.52 | | COMBINE_EQS: (63), (64) imply:
% 110.77/15.52 | | (66) all_82_1 = all_80_1
% 110.77/15.52 | |
% 110.77/15.52 | | REDUCE: (50), (61) imply:
% 110.77/15.52 | | (67) sdtlcdtrc0(xd, szNzAzT0) = all_78_0
% 110.77/15.52 | |
% 110.77/15.52 | | REDUCE: (58), (64) imply:
% 110.77/15.52 | | (68) sdtlbdtrb0(xd, all_80_1) = all_86_0
% 110.77/15.52 | |
% 110.77/15.52 | | REDUCE: (47), (61) imply:
% 110.77/15.52 | | (69) $i(szNzAzT0)
% 110.77/15.52 | |
% 110.77/15.52 | | BETA: splitting (62) gives:
% 110.77/15.52 | |
% 110.77/15.52 | | Case 1:
% 110.77/15.52 | | |
% 110.77/15.52 | | | (70) ~ (sdtlbdtrb0(xd, all_82_1) = all_86_0)
% 110.77/15.52 | | |
% 110.77/15.52 | | | REDUCE: (66), (70) imply:
% 110.77/15.52 | | | (71) ~ (sdtlbdtrb0(xd, all_80_1) = all_86_0)
% 110.77/15.52 | | |
% 110.77/15.52 | | | PRED_UNIFY: (68), (71) imply:
% 110.77/15.52 | | | (72) $false
% 110.77/15.52 | | |
% 110.77/15.52 | | | CLOSE: (72) is inconsistent.
% 110.77/15.52 | | |
% 110.77/15.52 | | Case 2:
% 110.77/15.52 | | |
% 110.77/15.52 | | |
% 110.77/15.52 | | | GROUND_INST: instantiating (3) with szNzAzT0, xS, simplifying with (5),
% 110.77/15.52 | | | (15), (36), (69) gives:
% 110.77/15.52 | | | (73) aSet0(xS)
% 110.77/15.52 | | |
% 110.77/15.52 | | | GROUND_INST: instantiating (mSubFSet) with xT, all_78_0, simplifying with
% 110.77/15.52 | | | (13), (14), (24), (46), (48) gives:
% 110.77/15.52 | | | (74) isFinite0(all_78_0)
% 110.77/15.52 | | |
% 110.77/15.52 | | | GROUND_INST: instantiating (9) with sz00, slcrc0, xO, simplifying with
% 110.77/15.52 | | | (7), (10), (16), (30), (54) gives:
% 110.77/15.52 | | | (75) xO = slcrc0 | ? [v0: $i] : ? [v1: $i] : ($i(v0) & ( ~
% 110.77/15.52 | | | aElementOf0(v0, xO) | ~ aElementOf0(v0, szNzAzT0) |
% 110.77/15.52 | | | (szszuzczcdt0(v0) = v1 & $i(v1) & ~ sdtlseqdt0(v1, sz00))) &
% 110.77/15.52 | | | (aElementOf0(v0, xO) | (szszuzczcdt0(v0) = v1 & $i(v1) &
% 110.77/15.52 | | | sdtlseqdt0(v1, sz00) & aElementOf0(v0, szNzAzT0))))
% 110.77/15.52 | | |
% 110.77/15.52 | | | GROUND_INST: instantiating (11) with xd, szNzAzT0, simplifying with (6),
% 110.77/15.52 | | | (21), (22), (28) gives:
% 110.77/15.52 | | | (76) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ((szDzizrdt0(xd) = v1 &
% 110.77/15.52 | | | sdtlbdtrb0(xd, v1) = v2 & $i(v2) & $i(v1) & isCountable0(v2) &
% 110.77/15.52 | | | aElement0(v1)) | (sdtlcdtrc0(xd, szNzAzT0) = v0 & $i(v0) & ~
% 110.77/15.52 | | | isFinite0(v0)))
% 110.77/15.52 | | |
% 110.77/15.52 | | | GROUND_INST: instantiating (mImgRng) with xd, szNzAzT0, simplifying with
% 110.77/15.52 | | | (21), (22), (28) gives:
% 110.77/15.53 | | | (77) ? [v0: $i] : (sdtlcdtrc0(xd, szNzAzT0) = v0 & $i(v0) & ! [v1:
% 110.77/15.53 | | | $i] : ! [v2: $i] : ( ~ (sdtlpdtrp0(xd, v1) = v2) | ~ $i(v1)
% 110.77/15.53 | | | | ~ aElementOf0(v1, szNzAzT0) | aElementOf0(v2, v0)))
% 110.77/15.53 | | |
% 110.77/15.53 | | | GROUND_INST: instantiating (18) with xi, all_76_0, simplifying with (31),
% 110.77/15.53 | | | (33), (44) gives:
% 110.77/15.53 | | | (78) aSubsetOf0(all_76_0, szNzAzT0)
% 110.77/15.53 | | |
% 110.77/15.53 | | | GROUND_INST: instantiating (17) with xi, all_76_0, simplifying with (31),
% 110.77/15.53 | | | (33), (44) gives:
% 110.77/15.53 | | | (79) isCountable0(all_76_0)
% 110.77/15.53 | | |
% 110.77/15.53 | | | GROUND_INST: instantiating (19) with xi, all_76_0, simplifying with (31),
% 110.77/15.53 | | | (33), (44) gives:
% 110.77/15.53 | | | (80) ? [v0: $i] : (sdtlpdtrp0(xe, xi) = v0 & szmzizndt0(all_76_0) = v0
% 110.77/15.53 | | | & $i(v0))
% 110.77/15.53 | | |
% 110.77/15.53 | | | GROUND_INST: instantiating (20) with xi, xx, simplifying with (31), (32),
% 110.77/15.53 | | | (33) gives:
% 110.77/15.53 | | | (81) ? [v0: $i] : (sdtlpdtrp0(xN, xi) = v0 & szmzizndt0(v0) = xx &
% 110.77/15.53 | | | $i(v0) & $i(xx))
% 110.77/15.53 | | |
% 110.77/15.53 | | | GROUND_INST: instantiating (12) with xd, all_80_1, simplifying with (21),
% 110.77/15.53 | | | (28), (52) gives:
% 110.77/15.53 | | | (82) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ((sdtlbdtrb0(xd,
% 110.77/15.53 | | | all_80_1) = v2 & $i(v2) & isCountable0(v2) &
% 110.77/15.53 | | | aElement0(all_80_1)) | (szDzozmdt0(xd) = v0 & $i(v0) & ( ~
% 110.77/15.53 | | | isCountable0(v0) | (sdtlcdtrc0(xd, v0) = v1 & $i(v1) & ~
% 110.77/15.53 | | | isFinite0(v1)))))
% 110.77/15.53 | | |
% 110.77/15.53 | | | DELTA: instantiating (80) with fresh symbol all_114_0 gives:
% 110.77/15.53 | | | (83) sdtlpdtrp0(xe, xi) = all_114_0 & szmzizndt0(all_76_0) = all_114_0
% 110.77/15.53 | | | & $i(all_114_0)
% 110.77/15.53 | | |
% 110.77/15.53 | | | ALPHA: (83) implies:
% 110.77/15.53 | | | (84) $i(all_114_0)
% 110.77/15.53 | | | (85) szmzizndt0(all_76_0) = all_114_0
% 110.77/15.53 | | | (86) sdtlpdtrp0(xe, xi) = all_114_0
% 110.77/15.53 | | |
% 110.77/15.53 | | | DELTA: instantiating (81) with fresh symbol all_118_0 gives:
% 110.77/15.53 | | | (87) sdtlpdtrp0(xN, xi) = all_118_0 & szmzizndt0(all_118_0) = xx &
% 110.77/15.53 | | | $i(all_118_0) & $i(xx)
% 110.77/15.53 | | |
% 110.77/15.53 | | | ALPHA: (87) implies:
% 110.77/15.53 | | | (88) $i(all_118_0)
% 110.77/15.53 | | | (89) sdtlpdtrp0(xN, xi) = all_118_0
% 110.77/15.53 | | |
% 110.77/15.53 | | | DELTA: instantiating (77) with fresh symbol all_128_0 gives:
% 110.77/15.53 | | | (90) sdtlcdtrc0(xd, szNzAzT0) = all_128_0 & $i(all_128_0) & ! [v0: $i]
% 110.77/15.53 | | | : ! [v1: $i] : ( ~ (sdtlpdtrp0(xd, v0) = v1) | ~ $i(v0) | ~
% 110.77/15.53 | | | aElementOf0(v0, szNzAzT0) | aElementOf0(v1, all_128_0))
% 110.77/15.53 | | |
% 110.77/15.53 | | | ALPHA: (90) implies:
% 110.77/15.53 | | | (91) sdtlcdtrc0(xd, szNzAzT0) = all_128_0
% 110.77/15.53 | | |
% 110.77/15.53 | | | DELTA: instantiating (76) with fresh symbols all_141_0, all_141_1,
% 110.77/15.53 | | | all_141_2 gives:
% 110.77/15.53 | | | (92) (szDzizrdt0(xd) = all_141_1 & sdtlbdtrb0(xd, all_141_1) =
% 110.77/15.53 | | | all_141_0 & $i(all_141_0) & $i(all_141_1) &
% 110.77/15.53 | | | isCountable0(all_141_0) & aElement0(all_141_1)) |
% 110.77/15.53 | | | (sdtlcdtrc0(xd, szNzAzT0) = all_141_2 & $i(all_141_2) & ~
% 110.77/15.53 | | | isFinite0(all_141_2))
% 110.77/15.53 | | |
% 110.77/15.53 | | | DELTA: instantiating (82) with fresh symbols all_145_0, all_145_1,
% 110.77/15.53 | | | all_145_2 gives:
% 110.77/15.53 | | | (93) (sdtlbdtrb0(xd, all_80_1) = all_145_0 & $i(all_145_0) &
% 110.77/15.53 | | | isCountable0(all_145_0) & aElement0(all_80_1)) | (szDzozmdt0(xd)
% 110.77/15.53 | | | = all_145_2 & $i(all_145_2) & ( ~ isCountable0(all_145_2) |
% 110.77/15.53 | | | (sdtlcdtrc0(xd, all_145_2) = all_145_1 & $i(all_145_1) & ~
% 110.77/15.53 | | | isFinite0(all_145_1))))
% 110.77/15.53 | | |
% 110.77/15.53 | | | BETA: splitting (75) gives:
% 110.77/15.53 | | |
% 110.77/15.53 | | | Case 1:
% 110.77/15.53 | | | |
% 110.77/15.53 | | | | (94) xO = slcrc0
% 110.77/15.53 | | | |
% 110.77/15.53 | | | | REDUCE: (65), (94) imply:
% 110.77/15.53 | | | | (95) $false
% 110.77/15.53 | | | |
% 110.77/15.53 | | | | CLOSE: (95) is inconsistent.
% 110.77/15.53 | | | |
% 110.77/15.53 | | | Case 2:
% 110.77/15.53 | | | |
% 110.77/15.53 | | | |
% 110.77/15.53 | | | | PRED_UNIFY: (60), (79) imply:
% 110.77/15.53 | | | | (96) ~ (all_76_0 = slcrc0)
% 110.77/15.53 | | | |
% 110.77/15.53 | | | | GROUND_INST: instantiating (39) with all_76_0, all_118_0, xi, xN,
% 110.77/15.53 | | | | simplifying with (44), (89) gives:
% 110.77/15.53 | | | | (97) all_118_0 = all_76_0
% 110.77/15.53 | | | |
% 110.77/15.53 | | | | GROUND_INST: instantiating (39) with xx, all_114_0, xi, xe, simplifying
% 110.77/15.53 | | | | with (32), (86) gives:
% 110.77/15.53 | | | | (98) all_114_0 = xx
% 110.77/15.53 | | | |
% 110.77/15.53 | | | | GROUND_INST: instantiating (41) with all_78_0, all_128_0, szNzAzT0, xd,
% 110.77/15.53 | | | | simplifying with (67), (91) gives:
% 110.77/15.53 | | | | (99) all_128_0 = all_78_0
% 110.77/15.53 | | | |
% 110.77/15.53 | | | | REDUCE: (85), (98) imply:
% 110.77/15.53 | | | | (100) szmzizndt0(all_76_0) = xx
% 110.77/15.53 | | | |
% 110.77/15.53 | | | | REDUCE: (88), (97) imply:
% 110.77/15.53 | | | | (101) $i(all_76_0)
% 110.77/15.53 | | | |
% 110.77/15.53 | | | | REDUCE: (84), (98) imply:
% 110.77/15.53 | | | | (102) $i(xx)
% 110.77/15.53 | | | |
% 110.77/15.53 | | | | BETA: splitting (92) gives:
% 110.77/15.53 | | | |
% 110.77/15.53 | | | | Case 1:
% 110.77/15.53 | | | | |
% 110.77/15.53 | | | | | (103) szDzizrdt0(xd) = all_141_1 & sdtlbdtrb0(xd, all_141_1) =
% 110.77/15.53 | | | | | all_141_0 & $i(all_141_0) & $i(all_141_1) &
% 110.77/15.53 | | | | | isCountable0(all_141_0) & aElement0(all_141_1)
% 110.77/15.53 | | | | |
% 110.77/15.53 | | | | | ALPHA: (103) implies:
% 110.77/15.53 | | | | | (104) sdtlbdtrb0(xd, all_141_1) = all_141_0
% 110.77/15.53 | | | | | (105) szDzizrdt0(xd) = all_141_1
% 110.77/15.53 | | | | |
% 110.77/15.53 | | | | | BETA: splitting (93) gives:
% 110.77/15.53 | | | | |
% 110.77/15.53 | | | | | Case 1:
% 110.77/15.53 | | | | | |
% 110.77/15.53 | | | | | | (106) sdtlbdtrb0(xd, all_80_1) = all_145_0 & $i(all_145_0) &
% 110.77/15.53 | | | | | | isCountable0(all_145_0) & aElement0(all_80_1)
% 110.77/15.53 | | | | | |
% 110.77/15.53 | | | | | | ALPHA: (106) implies:
% 110.77/15.53 | | | | | | (107) sdtlbdtrb0(xd, all_80_1) = all_145_0
% 110.77/15.53 | | | | | |
% 110.77/15.53 | | | | | | GROUND_INST: instantiating (40) with all_145_0, all_141_0, all_80_1,
% 110.77/15.53 | | | | | | xd, simplifying with (107) gives:
% 110.77/15.53 | | | | | | (108) all_145_0 = all_141_0 | ~ (sdtlbdtrb0(xd, all_80_1) =
% 110.77/15.53 | | | | | | all_141_0)
% 110.77/15.53 | | | | | |
% 110.77/15.53 | | | | | | GROUND_INST: instantiating (38) with all_80_1, all_141_1, xd,
% 110.77/15.53 | | | | | | simplifying with (52), (105) gives:
% 110.77/15.53 | | | | | | (109) all_141_1 = all_80_1
% 110.77/15.53 | | | | | |
% 110.77/15.53 | | | | | | REDUCE: (104), (109) imply:
% 110.77/15.53 | | | | | | (110) sdtlbdtrb0(xd, all_80_1) = all_141_0
% 110.77/15.53 | | | | | |
% 110.77/15.53 | | | | | | BETA: splitting (108) gives:
% 110.77/15.53 | | | | | |
% 110.77/15.53 | | | | | | Case 1:
% 110.77/15.53 | | | | | | |
% 110.77/15.53 | | | | | | | (111) ~ (sdtlbdtrb0(xd, all_80_1) = all_141_0)
% 110.77/15.53 | | | | | | |
% 110.77/15.53 | | | | | | | PRED_UNIFY: (110), (111) imply:
% 110.77/15.53 | | | | | | | (112) $false
% 110.77/15.53 | | | | | | |
% 110.77/15.54 | | | | | | | CLOSE: (112) is inconsistent.
% 110.77/15.54 | | | | | | |
% 110.77/15.54 | | | | | | Case 2:
% 110.77/15.54 | | | | | | |
% 110.77/15.54 | | | | | | |
% 110.77/15.54 | | | | | | | GROUND_INST: instantiating (4) with xS, all_76_0, xx, simplifying
% 110.77/15.54 | | | | | | | with (35), (36), (43), (73), (101), (102) gives:
% 110.77/15.54 | | | | | | | (113) ~ aElementOf0(xx, all_76_0)
% 110.77/15.54 | | | | | | |
% 110.77/15.54 | | | | | | | GROUND_INST: instantiating (8) with all_76_0, xx, simplifying with
% 110.77/15.54 | | | | | | | (78), (100), (101), (102) gives:
% 110.77/15.54 | | | | | | | (114) all_76_0 = slcrc0 | aElementOf0(xx, all_76_0)
% 110.77/15.54 | | | | | | |
% 110.77/15.54 | | | | | | | BETA: splitting (114) gives:
% 110.77/15.54 | | | | | | |
% 110.77/15.54 | | | | | | | Case 1:
% 110.77/15.54 | | | | | | | |
% 110.77/15.54 | | | | | | | | (115) aElementOf0(xx, all_76_0)
% 110.77/15.54 | | | | | | | |
% 110.77/15.54 | | | | | | | | PRED_UNIFY: (113), (115) imply:
% 110.77/15.54 | | | | | | | | (116) $false
% 110.77/15.54 | | | | | | | |
% 110.77/15.54 | | | | | | | | CLOSE: (116) is inconsistent.
% 110.77/15.54 | | | | | | | |
% 110.77/15.54 | | | | | | | Case 2:
% 110.77/15.54 | | | | | | | |
% 110.77/15.54 | | | | | | | | (117) all_76_0 = slcrc0
% 110.77/15.54 | | | | | | | |
% 110.77/15.54 | | | | | | | | REDUCE: (96), (117) imply:
% 110.77/15.54 | | | | | | | | (118) $false
% 110.77/15.54 | | | | | | | |
% 110.77/15.54 | | | | | | | | CLOSE: (118) is inconsistent.
% 110.77/15.54 | | | | | | | |
% 110.77/15.54 | | | | | | | End of split
% 110.77/15.54 | | | | | | |
% 110.77/15.54 | | | | | | End of split
% 110.77/15.54 | | | | | |
% 110.77/15.54 | | | | | Case 2:
% 110.77/15.54 | | | | | |
% 110.77/15.54 | | | | | | (119) szDzozmdt0(xd) = all_145_2 & $i(all_145_2) & ( ~
% 110.77/15.54 | | | | | | isCountable0(all_145_2) | (sdtlcdtrc0(xd, all_145_2) =
% 110.77/15.54 | | | | | | all_145_1 & $i(all_145_1) & ~ isFinite0(all_145_1)))
% 110.77/15.54 | | | | | |
% 110.77/15.54 | | | | | | ALPHA: (119) implies:
% 110.77/15.54 | | | | | | (120) szDzozmdt0(xd) = all_145_2
% 110.77/15.54 | | | | | | (121) ~ isCountable0(all_145_2) | (sdtlcdtrc0(xd, all_145_2) =
% 110.77/15.54 | | | | | | all_145_1 & $i(all_145_1) & ~ isFinite0(all_145_1))
% 110.77/15.54 | | | | | |
% 110.77/15.54 | | | | | | GROUND_INST: instantiating (37) with szNzAzT0, all_145_2, xd,
% 110.77/15.54 | | | | | | simplifying with (22), (120) gives:
% 110.77/15.54 | | | | | | (122) all_145_2 = szNzAzT0
% 110.77/15.54 | | | | | |
% 110.77/15.54 | | | | | | BETA: splitting (121) gives:
% 110.77/15.54 | | | | | |
% 110.77/15.54 | | | | | | Case 1:
% 110.77/15.54 | | | | | | |
% 110.77/15.54 | | | | | | | (123) ~ isCountable0(all_145_2)
% 110.77/15.54 | | | | | | |
% 110.77/15.54 | | | | | | | REDUCE: (122), (123) imply:
% 110.77/15.54 | | | | | | | (124) ~ isCountable0(szNzAzT0)
% 110.77/15.54 | | | | | | |
% 110.77/15.54 | | | | | | | PRED_UNIFY: (6), (124) imply:
% 110.77/15.54 | | | | | | | (125) $false
% 110.77/15.54 | | | | | | |
% 110.77/15.54 | | | | | | | CLOSE: (125) is inconsistent.
% 110.77/15.54 | | | | | | |
% 110.77/15.54 | | | | | | Case 2:
% 110.77/15.54 | | | | | | |
% 110.77/15.54 | | | | | | | (126) sdtlcdtrc0(xd, all_145_2) = all_145_1 & $i(all_145_1) &
% 110.77/15.54 | | | | | | | ~ isFinite0(all_145_1)
% 110.77/15.54 | | | | | | |
% 110.77/15.54 | | | | | | | ALPHA: (126) implies:
% 110.77/15.54 | | | | | | | (127) ~ isFinite0(all_145_1)
% 110.77/15.54 | | | | | | | (128) sdtlcdtrc0(xd, all_145_2) = all_145_1
% 110.77/15.54 | | | | | | |
% 110.77/15.54 | | | | | | | REDUCE: (122), (128) imply:
% 110.77/15.54 | | | | | | | (129) sdtlcdtrc0(xd, szNzAzT0) = all_145_1
% 110.77/15.54 | | | | | | |
% 110.77/15.54 | | | | | | | GROUND_INST: instantiating (41) with all_78_0, all_145_1,
% 110.77/15.54 | | | | | | | szNzAzT0, xd, simplifying with (67), (129) gives:
% 110.77/15.54 | | | | | | | (130) all_145_1 = all_78_0
% 110.77/15.54 | | | | | | |
% 110.77/15.54 | | | | | | | PRED_UNIFY: (74), (127) imply:
% 110.77/15.54 | | | | | | | (131) ~ (all_145_1 = all_78_0)
% 110.77/15.54 | | | | | | |
% 110.77/15.54 | | | | | | | REDUCE: (130), (131) imply:
% 110.77/15.54 | | | | | | | (132) $false
% 110.77/15.54 | | | | | | |
% 110.77/15.54 | | | | | | | CLOSE: (132) is inconsistent.
% 110.77/15.54 | | | | | | |
% 110.77/15.54 | | | | | | End of split
% 110.77/15.54 | | | | | |
% 110.77/15.54 | | | | | End of split
% 110.77/15.54 | | | | |
% 110.77/15.54 | | | | Case 2:
% 110.77/15.54 | | | | |
% 110.77/15.54 | | | | | (133) sdtlcdtrc0(xd, szNzAzT0) = all_141_2 & $i(all_141_2) & ~
% 110.77/15.54 | | | | | isFinite0(all_141_2)
% 110.77/15.54 | | | | |
% 110.77/15.54 | | | | | ALPHA: (133) implies:
% 110.77/15.54 | | | | | (134) ~ isFinite0(all_141_2)
% 110.77/15.54 | | | | | (135) sdtlcdtrc0(xd, szNzAzT0) = all_141_2
% 110.77/15.54 | | | | |
% 110.77/15.54 | | | | | GROUND_INST: instantiating (41) with all_78_0, all_141_2, szNzAzT0,
% 110.77/15.54 | | | | | xd, simplifying with (67), (135) gives:
% 110.77/15.54 | | | | | (136) all_141_2 = all_78_0
% 110.77/15.54 | | | | |
% 110.77/15.54 | | | | | PRED_UNIFY: (74), (134) imply:
% 110.77/15.54 | | | | | (137) ~ (all_141_2 = all_78_0)
% 110.77/15.54 | | | | |
% 110.77/15.54 | | | | | REDUCE: (136), (137) imply:
% 110.77/15.54 | | | | | (138) $false
% 110.77/15.54 | | | | |
% 110.77/15.54 | | | | | CLOSE: (138) is inconsistent.
% 110.77/15.54 | | | | |
% 110.77/15.54 | | | | End of split
% 110.77/15.54 | | | |
% 110.77/15.54 | | | End of split
% 110.77/15.54 | | |
% 110.77/15.54 | | End of split
% 110.77/15.54 | |
% 110.77/15.54 | Case 2:
% 110.77/15.54 | |
% 110.77/15.54 | | (139) ~ aSet0(slcrc0)
% 110.77/15.54 | |
% 110.77/15.54 | | PRED_UNIFY: (1), (139) imply:
% 110.77/15.54 | | (140) $false
% 110.77/15.54 | |
% 110.77/15.54 | | CLOSE: (140) is inconsistent.
% 110.77/15.54 | |
% 110.77/15.54 | End of split
% 110.77/15.54 |
% 110.77/15.54 End of proof
% 110.77/15.54 % SZS output end Proof for theBenchmark
% 110.77/15.54
% 110.77/15.54 14920ms
%------------------------------------------------------------------------------