TSTP Solution File: KRS147+1 by Princess---230619
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Princess---230619
% Problem : KRS147+1 : TPTP v8.1.2. Released v3.1.0.
% Transfm : none
% Format : tptp
% Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s
% Computer : n001.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 05:51:26 EDT 2023
% Result : Theorem 18.27s 3.30s
% Output : Proof 23.67s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14 % Problem : KRS147+1 : TPTP v8.1.2. Released v3.1.0.
% 0.00/0.14 % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s
% 0.14/0.36 % Computer : n001.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Mon Aug 28 02:12:49 EDT 2023
% 0.14/0.36 % CPUTime :
% 0.21/0.63 ________ _____
% 0.21/0.63 ___ __ \_________(_)________________________________
% 0.21/0.63 __ /_/ /_ ___/_ /__ __ \ ___/ _ \_ ___/_ ___/
% 0.21/0.63 _ ____/_ / _ / _ / / / /__ / __/(__ )_(__ )
% 0.21/0.63 /_/ /_/ /_/ /_/ /_/\___/ \___//____/ /____/
% 0.21/0.63
% 0.21/0.63 A Theorem Prover for First-Order Logic modulo Linear Integer Arithmetic
% 0.21/0.63 (2023-06-19)
% 0.21/0.63
% 0.21/0.63 (c) Philipp Rümmer, 2009-2023
% 0.21/0.63 Contributors: Peter Backeman, Peter Baumgartner, Angelo Brillout, Zafer Esen,
% 0.21/0.63 Amanda Stjerna.
% 0.21/0.63 Free software under BSD-3-Clause.
% 0.21/0.63
% 0.21/0.63 For more information, visit http://www.philipp.ruemmer.org/princess.shtml
% 0.21/0.63
% 0.21/0.64 Loading /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 0.21/0.65 Running up to 7 provers in parallel.
% 0.21/0.66 Prover 0: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893
% 0.21/0.66 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1571432423
% 0.21/0.66 Prover 3: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996
% 0.21/0.66 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696
% 0.21/0.66 Prover 5: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288
% 0.21/0.66 Prover 2: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1065072994
% 0.21/0.66 Prover 6: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365
% 3.45/1.29 Prover 4: Preprocessing ...
% 3.45/1.29 Prover 1: Preprocessing ...
% 3.45/1.32 Prover 2: Preprocessing ...
% 3.45/1.32 Prover 5: Preprocessing ...
% 4.16/1.33 Prover 0: Preprocessing ...
% 4.16/1.33 Prover 6: Preprocessing ...
% 4.16/1.33 Prover 3: Preprocessing ...
% 8.52/1.98 Prover 2: Proving ...
% 8.52/2.01 Prover 5: Proving ...
% 10.78/2.30 Prover 6: Proving ...
% 10.78/2.32 Prover 1: Constructing countermodel ...
% 10.78/2.35 Prover 3: Constructing countermodel ...
% 12.66/2.54 Prover 0: Proving ...
% 13.05/2.61 Prover 4: Constructing countermodel ...
% 18.27/3.30 Prover 3: proved (2642ms)
% 18.27/3.30
% 18.27/3.30 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 18.27/3.30
% 18.27/3.30 Prover 5: stopped
% 18.27/3.32 Prover 0: stopped
% 18.27/3.32 Prover 2: stopped
% 18.27/3.32 Prover 7: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470
% 18.27/3.32 Prover 6: stopped
% 18.27/3.33 Prover 8: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089
% 18.27/3.33 Prover 10: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=919308125
% 18.27/3.33 Prover 11: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1509710984
% 18.27/3.33 Prover 13: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=1138197443
% 18.99/3.45 Prover 8: Preprocessing ...
% 18.99/3.45 Prover 7: Preprocessing ...
% 18.99/3.45 Prover 11: Preprocessing ...
% 18.99/3.46 Prover 10: Preprocessing ...
% 18.99/3.48 Prover 13: Preprocessing ...
% 18.99/3.56 Prover 7: Warning: ignoring some quantifiers
% 18.99/3.59 Prover 7: Constructing countermodel ...
% 20.08/3.67 Prover 10: Warning: ignoring some quantifiers
% 20.08/3.67 Prover 13: Warning: ignoring some quantifiers
% 20.08/3.68 Prover 10: Constructing countermodel ...
% 20.08/3.68 Prover 13: Constructing countermodel ...
% 21.96/3.82 Prover 8: Warning: ignoring some quantifiers
% 21.96/3.84 Prover 8: Constructing countermodel ...
% 22.34/3.90 Prover 1: Found proof (size 300)
% 22.34/3.90 Prover 1: proved (3241ms)
% 22.34/3.90 Prover 10: stopped
% 22.34/3.90 Prover 13: stopped
% 22.34/3.90 Prover 8: stopped
% 22.34/3.90 Prover 4: stopped
% 22.34/3.90 Prover 7: stopped
% 22.93/3.95 Prover 11: Constructing countermodel ...
% 22.93/3.96 Prover 11: stopped
% 22.93/3.96
% 22.93/3.96 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 22.93/3.96
% 22.93/3.99 % SZS output start Proof for theBenchmark
% 23.13/3.99 Assumptions after simplification:
% 23.13/3.99 ---------------------------------
% 23.13/3.99
% 23.13/3.99 (axiom_0)
% 23.13/4.02 ! [v0: $i] : ! [v1: int] : (v1 = 0 | ~ (cowlThing(v0) = v1) | ~ $i(v0)) &
% 23.13/4.02 ! [v0: $i] : ( ~ (cowlNothing(v0) = 0) | ~ $i(v0))
% 23.13/4.02
% 23.13/4.02 (axiom_1)
% 23.13/4.02 ! [v0: $i] : ! [v1: int] : (v1 = 0 | ~ (xsd_string(v0) = v1) | ~ $i(v0) |
% 23.13/4.02 xsd_integer(v0) = 0) & ! [v0: $i] : ( ~ (xsd_string(v0) = 0) | ~ $i(v0) |
% 23.13/4.02 ? [v1: int] : ( ~ (v1 = 0) & xsd_integer(v0) = v1))
% 23.13/4.02
% 23.13/4.02 (axiom_14)
% 23.13/4.02 ! [v0: $i] : ! [v1: int] : (v1 = 0 | ~ (cC34(v0) = v1) | ~ $i(v0) | !
% 23.13/4.02 [v2: $i] : ! [v3: int] : (v3 = 0 | ~ (cC32(v2) = v3) | ~ $i(v2) | ? [v4:
% 23.13/4.02 int] : ( ~ (v4 = 0) & rR1(v0, v2) = v4))) & ! [v0: $i] : ( ~ (cC34(v0)
% 23.13/4.02 = 0) | ~ $i(v0) | ? [v1: $i] : ? [v2: int] : ( ~ (v2 = 0) & cC32(v1) =
% 23.13/4.02 v2 & rR1(v0, v1) = 0 & $i(v1)))
% 23.13/4.02
% 23.13/4.02 (axiom_17)
% 23.13/4.02 ! [v0: $i] : ! [v1: int] : (v1 = 0 | ~ (cC4(v0) = v1) | ~ $i(v0) | ! [v2:
% 23.13/4.02 $i] : ! [v3: int] : (v3 = 0 | ~ (cC2(v2) = v3) | ~ $i(v2) | ? [v4:
% 23.13/4.02 int] : ( ~ (v4 = 0) & rR1(v0, v2) = v4))) & ! [v0: $i] : ( ~ (cC4(v0) =
% 23.13/4.02 0) | ~ $i(v0) | ? [v1: $i] : ? [v2: int] : ( ~ (v2 = 0) & cC2(v1) = v2
% 23.13/4.02 & rR1(v0, v1) = 0 & $i(v1)))
% 23.13/4.02
% 23.13/4.02 (axiom_2)
% 23.13/4.03 ! [v0: $i] : ! [v1: any] : ( ~ (cC8(v0) = v1) | ~ $i(v0) | ? [v2: any] :
% 23.13/4.03 ? [v3: any] : (cC10(v0) = v2 & cC4(v0) = v3 & ( ~ (v2 = 0) | (v3 = 0 & v1 =
% 23.13/4.03 0)))) & ! [v0: $i] : ( ~ (cC8(v0) = 0) | ~ $i(v0) | ? [v1: any] :
% 23.13/4.03 ? [v2: any] : (cC10(v0) = v2 & cC4(v0) = v1 & ( ~ (v1 = 0) | v2 = 0)))
% 23.13/4.03
% 23.13/4.03 (axiom_22)
% 23.13/4.03 ! [v0: $i] : ! [v1: int] : (v1 = 0 | ~ (cC48(v0) = v1) | ~ $i(v0) | !
% 23.13/4.03 [v2: $i] : ! [v3: int] : (v3 = 0 | ~ (cC2(v2) = v3) | ~ $i(v2) | ? [v4:
% 23.13/4.03 int] : ( ~ (v4 = 0) & rR1(v0, v2) = v4))) & ! [v0: $i] : ( ~ (cC48(v0)
% 23.13/4.03 = 0) | ~ $i(v0) | ? [v1: $i] : ? [v2: int] : ( ~ (v2 = 0) & cC2(v1) =
% 23.13/4.03 v2 & rR1(v0, v1) = 0 & $i(v1)))
% 23.13/4.03
% 23.13/4.03 (axiom_27)
% 23.13/4.03 ! [v0: $i] : ! [v1: int] : (v1 = 0 | ~ (cC58(v0) = v1) | ~ $i(v0) | !
% 23.13/4.03 [v2: $i] : ( ~ (cC2(v2) = 0) | ~ $i(v2) | ? [v3: int] : ( ~ (v3 = 0) &
% 23.13/4.03 rR1(v0, v2) = v3))) & ! [v0: $i] : ( ~ (cC58(v0) = 0) | ~ $i(v0) | ?
% 23.13/4.03 [v1: $i] : (cC2(v1) = 0 & rR1(v0, v1) = 0 & $i(v1)))
% 23.13/4.03
% 23.13/4.03 (axiom_29)
% 23.13/4.03 ! [v0: $i] : ! [v1: int] : (v1 = 0 | ~ (cC60(v0) = v1) | ~ $i(v0) | ?
% 23.13/4.03 [v2: any] : ? [v3: any] : (cC58(v0) = v2 & cC2(v0) = v3 & ( ~ (v2 = 0) | v3
% 23.13/4.03 = 0))) & ! [v0: $i] : ( ~ (cC60(v0) = 0) | ~ $i(v0) | ? [v1: int] : (
% 23.13/4.03 ~ (v1 = 0) & cC58(v0) = 0 & cC2(v0) = v1))
% 23.13/4.03
% 23.13/4.03 (axiom_30)
% 23.13/4.03 ! [v0: $i] : ! [v1: int] : (v1 = 0 | ~ (cC62(v0) = v1) | ~ $i(v0) | !
% 23.13/4.03 [v2: $i] : ( ~ (cC60(v2) = 0) | ~ $i(v2) | ? [v3: int] : ( ~ (v3 = 0) &
% 23.13/4.03 rR1(v0, v2) = v3))) & ! [v0: $i] : ( ~ (cC62(v0) = 0) | ~ $i(v0) | ?
% 23.13/4.03 [v1: $i] : (cC60(v1) = 0 & rR1(v0, v1) = 0 & $i(v1)))
% 23.13/4.03
% 23.13/4.03 (axiom_38)
% 23.13/4.04 ! [v0: $i] : ! [v1: int] : (v1 = 0 | ~ (cC78(v0) = v1) | ~ $i(v0) | !
% 23.13/4.04 [v2: $i] : ! [v3: int] : (v3 = 0 | ~ (cC2(v2) = v3) | ~ $i(v2) | ? [v4:
% 23.13/4.04 int] : ( ~ (v4 = 0) & rR1(v0, v2) = v4))) & ! [v0: $i] : ( ~ (cC78(v0)
% 23.13/4.04 = 0) | ~ $i(v0) | ? [v1: $i] : ? [v2: int] : ( ~ (v2 = 0) & cC2(v1) =
% 23.13/4.04 v2 & rR1(v0, v1) = 0 & $i(v1)))
% 23.13/4.04
% 23.13/4.04 (axiom_39)
% 23.13/4.04 ! [v0: $i] : ! [v1: int] : (v1 = 0 | ~ (cC8(v0) = v1) | ~ $i(v0) | ! [v2:
% 23.13/4.04 $i] : ! [v3: int] : (v3 = 0 | ~ (cC6(v2) = v3) | ~ $i(v2) | ? [v4:
% 23.13/4.04 int] : ( ~ (v4 = 0) & rR1(v0, v2) = v4))) & ! [v0: $i] : ( ~ (cC8(v0) =
% 23.13/4.04 0) | ~ $i(v0) | ? [v1: $i] : ? [v2: int] : ( ~ (v2 = 0) & cC6(v1) = v2
% 23.13/4.04 & rR1(v0, v1) = 0 & $i(v1)))
% 23.13/4.04
% 23.13/4.04 (axiom_4)
% 23.13/4.04 ! [v0: $i] : ! [v1: int] : (v1 = 0 | ~ (cC14(v0) = v1) | ~ $i(v0) | !
% 23.13/4.04 [v2: $i] : ( ~ (cTOP(v2) = 0) | ~ $i(v2) | ? [v3: int] : ( ~ (v3 = 0) &
% 23.13/4.04 rR1(v0, v2) = v3))) & ! [v0: $i] : ( ~ (cC14(v0) = 0) | ~ $i(v0) | ?
% 23.13/4.04 [v1: $i] : (cTOP(v1) = 0 & rR1(v0, v1) = 0 & $i(v1)))
% 23.13/4.04
% 23.13/4.04 (axiom_40)
% 23.13/4.04 ! [v0: $i] : ! [v1: int] : (v1 = 0 | ~ (cC80(v0) = v1) | ~ $i(v0) | ?
% 23.13/4.04 [v2: any] : ? [v3: any] : (cC78(v0) = v3 & cC2(v0) = v2 & (v3 = 0 | v2 =
% 23.13/4.04 0))) & ! [v0: $i] : ( ~ (cC80(v0) = 0) | ~ $i(v0) | ? [v1: int] : ?
% 23.13/4.04 [v2: int] : ( ~ (v2 = 0) & ~ (v1 = 0) & cC78(v0) = v2 & cC2(v0) = v1))
% 23.13/4.04
% 23.13/4.04 (axiom_41)
% 23.13/4.04 ! [v0: $i] : ! [v1: int] : (v1 = 0 | ~ (cC82(v0) = v1) | ~ $i(v0) | !
% 23.13/4.04 [v2: $i] : ( ~ (cC80(v2) = 0) | ~ $i(v2) | ? [v3: int] : ( ~ (v3 = 0) &
% 23.13/4.04 rR1(v0, v2) = v3))) & ! [v0: $i] : ( ~ (cC82(v0) = 0) | ~ $i(v0) | ?
% 23.13/4.04 [v1: $i] : (cC80(v1) = 0 & rR1(v0, v1) = 0 & $i(v1)))
% 23.13/4.04
% 23.13/4.04 (axiom_52)
% 23.13/4.04 cowlThing(iV8467) = 0 & $i(iV8467)
% 23.13/4.04
% 23.13/4.04 (axiom_55)
% 23.13/4.04 rR1(iV8467, iV8471) = 0 & $i(iV8471) & $i(iV8467)
% 23.13/4.04
% 23.13/4.04 (axiom_58)
% 23.13/4.04 rR1(iV8467, iV8469) = 0 & $i(iV8469) & $i(iV8467)
% 23.13/4.04
% 23.13/4.04 (axiom_60)
% 23.37/4.04 rR1(iV8467, iV8472) = 0 & $i(iV8472) & $i(iV8467)
% 23.37/4.04
% 23.37/4.04 (axiom_61)
% 23.37/4.04 rR1(iV8467, iV8474) = 0 & $i(iV8474) & $i(iV8467)
% 23.37/4.04
% 23.37/4.04 (axiom_62)
% 23.37/4.04 rR1(iV8467, iV8470) = 0 & $i(iV8470) & $i(iV8467)
% 23.37/4.04
% 23.37/4.04 (axiom_65)
% 23.37/4.04 $i(iV8469) & ? [v0: int] : ( ~ (v0 = 0) & cC6(iV8469) = v0)
% 23.37/4.04
% 23.37/4.04 (axiom_67)
% 23.37/4.04 cowlThing(iV8469) = 0 & $i(iV8469)
% 23.37/4.04
% 23.37/4.04 (axiom_68)
% 23.37/4.04 cTOP(iV8470) = 0 & $i(iV8470)
% 23.37/4.04
% 23.37/4.04 (axiom_69)
% 23.37/4.04 cowlThing(iV8470) = 0 & $i(iV8470)
% 23.37/4.04
% 23.37/4.04 (axiom_7)
% 23.37/4.05 ! [v0: $i] : ! [v1: int] : (v1 = 0 | ~ (cC20(v0) = v1) | ~ $i(v0) | !
% 23.37/4.05 [v2: $i] : ! [v3: int] : (v3 = 0 | ~ (cC2(v2) = v3) | ~ $i(v2) | ? [v4:
% 23.37/4.05 int] : ( ~ (v4 = 0) & rR1(v0, v2) = v4))) & ! [v0: $i] : ( ~ (cC20(v0)
% 23.37/4.05 = 0) | ~ $i(v0) | ? [v1: $i] : ? [v2: int] : ( ~ (v2 = 0) & cC2(v1) =
% 23.37/4.05 v2 & rR1(v0, v1) = 0 & $i(v1)))
% 23.37/4.05
% 23.37/4.05 (axiom_70)
% 23.37/4.05 $i(iV8471) & ? [v0: int] : ( ~ (v0 = 0) & cC2(iV8471) = v0)
% 23.37/4.05
% 23.37/4.05 (axiom_71)
% 23.37/4.05 $i(iV8471) & ? [v0: int] : ( ~ (v0 = 0) & cC78(iV8471) = v0)
% 23.37/4.05
% 23.37/4.05 (axiom_72)
% 23.40/4.05 cowlThing(iV8471) = 0 & $i(iV8471)
% 23.40/4.05
% 23.40/4.05 (axiom_74)
% 23.40/4.05 $i(iV8472) & ? [v0: int] : ( ~ (v0 = 0) & cC2(iV8472) = v0)
% 23.40/4.05
% 23.40/4.05 (axiom_75)
% 23.40/4.05 cowlThing(iV8472) = 0 & $i(iV8472)
% 23.40/4.05
% 23.40/4.05 (axiom_76)
% 23.40/4.05 rR1(iV8472, iV8476) = 0 & $i(iV8476) & $i(iV8472)
% 23.40/4.05
% 23.40/4.05 (axiom_80)
% 23.40/4.05 $i(iV8474) & ? [v0: int] : ( ~ (v0 = 0) & cC32(iV8474) = v0)
% 23.40/4.05
% 23.40/4.05 (axiom_81)
% 23.40/4.05 cowlThing(iV8474) = 0 & $i(iV8474)
% 23.40/4.05
% 23.40/4.05 (axiom_84)
% 23.40/4.05 cC2(iV8476) = 0 & $i(iV8476)
% 23.40/4.05
% 23.40/4.05 (axiom_85)
% 23.40/4.05 cowlThing(iV8476) = 0 & $i(iV8476)
% 23.40/4.05
% 23.40/4.05 (the_axiom)
% 23.40/4.05 $i(iV8472) & $i(iV8471) & $i(iV8467) & ? [v0: any] : ? [v1: any] : ? [v2:
% 23.40/4.05 any] : ? [v3: any] : ? [v4: any] : ? [v5: any] : ? [v6: any] : ? [v7:
% 23.40/4.05 any] : ? [v8: any] : ? [v9: any] : ? [v10: any] : ? [v11: any] : ?
% 23.40/4.05 [v12: any] : ? [v13: any] : ? [v14: any] : (cC82(iV8467) = v3 & cC80(iV8471)
% 23.40/4.05 = v11 & cC62(iV8467) = v8 & cC60(iV8472) = v12 & cC58(iV8472) = v14 &
% 23.40/4.05 cC48(iV8467) = v1 & cC34(iV8467) = v9 & cC20(iV8467) = v6 & cC14(iV8467) =
% 23.40/4.05 v4 & cC8(iV8467) = v5 & cC10(iV8467) = v0 & cC4(iV8467) = v2 &
% 23.40/4.05 cowlThing(iV8472) = v13 & cowlThing(iV8471) = v10 & cowlThing(iV8467) = v7 &
% 23.40/4.05 ( ~ (v14 = 0) | ~ (v13 = 0) | ~ (v12 = 0) | ~ (v11 = 0) | ~ (v10 = 0) |
% 23.40/4.05 ~ (v9 = 0) | ~ (v8 = 0) | ~ (v7 = 0) | ~ (v6 = 0) | ~ (v5 = 0) | ~
% 23.40/4.05 (v4 = 0) | ~ (v3 = 0) | ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 = 0) | ?
% 23.40/4.05 [v15: $i] : ? [v16: any] : ? [v17: any] : (xsd_string(v15) = v16 &
% 23.40/4.05 xsd_integer(v15) = v17 & $i(v15) & ((v17 = 0 & v16 = 0) | ( ~ (v17 = 0)
% 23.40/4.05 & ~ (v16 = 0)))) | ? [v15: $i] : ? [v16: any] : ? [v17: any] :
% 23.40/4.05 (cowlNothing(v15) = v17 & cowlThing(v15) = v16 & $i(v15) & ( ~ (v16 = 0) |
% 23.40/4.05 v17 = 0))))
% 23.40/4.05
% 23.40/4.05 (function-axioms)
% 23.40/4.07 ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : !
% 23.40/4.07 [v3: $i] : (v1 = v0 | ~ (rR1(v3, v2) = v1) | ~ (rR1(v3, v2) = v0)) & ! [v0:
% 23.40/4.07 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 |
% 23.40/4.07 ~ (cTEST(v2) = v1) | ~ (cTEST(v2) = v0)) & ! [v0: MultipleValueBool] : !
% 23.40/4.07 [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~ (cC94(v2) = v1) | ~
% 23.40/4.07 (cC94(v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] :
% 23.40/4.07 ! [v2: $i] : (v1 = v0 | ~ (cC92(v2) = v1) | ~ (cC92(v2) = v0)) & ! [v0:
% 23.40/4.07 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 |
% 23.40/4.07 ~ (cC90(v2) = v1) | ~ (cC90(v2) = v0)) & ! [v0: MultipleValueBool] : !
% 23.40/4.07 [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~ (cC88(v2) = v1) | ~
% 23.40/4.07 (cC88(v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] :
% 23.40/4.07 ! [v2: $i] : (v1 = v0 | ~ (cC86(v2) = v1) | ~ (cC86(v2) = v0)) & ! [v0:
% 23.40/4.07 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 |
% 23.40/4.07 ~ (cC84(v2) = v1) | ~ (cC84(v2) = v0)) & ! [v0: MultipleValueBool] : !
% 23.40/4.07 [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~ (cC82(v2) = v1) | ~
% 23.40/4.07 (cC82(v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] :
% 23.40/4.07 ! [v2: $i] : (v1 = v0 | ~ (cC80(v2) = v1) | ~ (cC80(v2) = v0)) & ! [v0:
% 23.40/4.07 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 |
% 23.40/4.07 ~ (cC78(v2) = v1) | ~ (cC78(v2) = v0)) & ! [v0: MultipleValueBool] : !
% 23.40/4.07 [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~ (cC76(v2) = v1) | ~
% 23.40/4.07 (cC76(v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] :
% 23.40/4.07 ! [v2: $i] : (v1 = v0 | ~ (cC74(v2) = v1) | ~ (cC74(v2) = v0)) & ! [v0:
% 23.40/4.07 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 |
% 23.40/4.07 ~ (cC72(v2) = v1) | ~ (cC72(v2) = v0)) & ! [v0: MultipleValueBool] : !
% 23.40/4.07 [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~ (cC70(v2) = v1) | ~
% 23.40/4.07 (cC70(v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] :
% 23.40/4.07 ! [v2: $i] : (v1 = v0 | ~ (cC68(v2) = v1) | ~ (cC68(v2) = v0)) & ! [v0:
% 23.40/4.07 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 |
% 23.40/4.07 ~ (cC66(v2) = v1) | ~ (cC66(v2) = v0)) & ! [v0: MultipleValueBool] : !
% 23.40/4.07 [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~ (cC64(v2) = v1) | ~
% 23.40/4.07 (cC64(v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] :
% 23.40/4.07 ! [v2: $i] : (v1 = v0 | ~ (cC62(v2) = v1) | ~ (cC62(v2) = v0)) & ! [v0:
% 23.40/4.07 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 |
% 23.40/4.07 ~ (cC60(v2) = v1) | ~ (cC60(v2) = v0)) & ! [v0: MultipleValueBool] : !
% 23.40/4.07 [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~ (cC6(v2) = v1) | ~
% 23.40/4.07 (cC6(v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] :
% 23.40/4.07 ! [v2: $i] : (v1 = v0 | ~ (cC58(v2) = v1) | ~ (cC58(v2) = v0)) & ! [v0:
% 23.40/4.07 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 |
% 23.40/4.07 ~ (cC56(v2) = v1) | ~ (cC56(v2) = v0)) & ! [v0: MultipleValueBool] : !
% 23.40/4.07 [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~ (cC54(v2) = v1) | ~
% 23.40/4.07 (cC54(v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] :
% 23.40/4.07 ! [v2: $i] : (v1 = v0 | ~ (cC52(v2) = v1) | ~ (cC52(v2) = v0)) & ! [v0:
% 23.40/4.07 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 |
% 23.40/4.07 ~ (cC50(v2) = v1) | ~ (cC50(v2) = v0)) & ! [v0: MultipleValueBool] : !
% 23.40/4.07 [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~ (cC48(v2) = v1) | ~
% 23.40/4.07 (cC48(v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] :
% 23.40/4.07 ! [v2: $i] : (v1 = v0 | ~ (cC46(v2) = v1) | ~ (cC46(v2) = v0)) & ! [v0:
% 23.40/4.07 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 |
% 23.40/4.07 ~ (cC44(v2) = v1) | ~ (cC44(v2) = v0)) & ! [v0: MultipleValueBool] : !
% 23.40/4.07 [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~ (cC42(v2) = v1) | ~
% 23.40/4.07 (cC42(v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] :
% 23.40/4.07 ! [v2: $i] : (v1 = v0 | ~ (cC40(v2) = v1) | ~ (cC40(v2) = v0)) & ! [v0:
% 23.40/4.07 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 |
% 23.40/4.07 ~ (cC38(v2) = v1) | ~ (cC38(v2) = v0)) & ! [v0: MultipleValueBool] : !
% 23.40/4.07 [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~ (cC36(v2) = v1) | ~
% 23.40/4.07 (cC36(v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] :
% 23.40/4.07 ! [v2: $i] : (v1 = v0 | ~ (cC34(v2) = v1) | ~ (cC34(v2) = v0)) & ! [v0:
% 23.40/4.07 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 |
% 23.40/4.07 ~ (cC32(v2) = v1) | ~ (cC32(v2) = v0)) & ! [v0: MultipleValueBool] : !
% 23.40/4.07 [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~ (cC30(v2) = v1) | ~
% 23.40/4.07 (cC30(v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] :
% 23.40/4.07 ! [v2: $i] : (v1 = v0 | ~ (cC28(v2) = v1) | ~ (cC28(v2) = v0)) & ! [v0:
% 23.40/4.07 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 |
% 23.40/4.07 ~ (cC26(v2) = v1) | ~ (cC26(v2) = v0)) & ! [v0: MultipleValueBool] : !
% 23.40/4.07 [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~ (cC24(v2) = v1) | ~
% 23.40/4.07 (cC24(v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] :
% 23.40/4.07 ! [v2: $i] : (v1 = v0 | ~ (cC22(v2) = v1) | ~ (cC22(v2) = v0)) & ! [v0:
% 23.40/4.07 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 |
% 23.40/4.07 ~ (cC20(v2) = v1) | ~ (cC20(v2) = v0)) & ! [v0: MultipleValueBool] : !
% 23.40/4.07 [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~ (cC2(v2) = v1) | ~
% 23.40/4.07 (cC2(v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] :
% 23.40/4.07 ! [v2: $i] : (v1 = v0 | ~ (cC18(v2) = v1) | ~ (cC18(v2) = v0)) & ! [v0:
% 23.40/4.07 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 |
% 23.40/4.07 ~ (cC16(v2) = v1) | ~ (cC16(v2) = v0)) & ! [v0: MultipleValueBool] : !
% 23.40/4.07 [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~ (cC14(v2) = v1) | ~
% 23.40/4.07 (cC14(v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] :
% 23.40/4.07 ! [v2: $i] : (v1 = v0 | ~ (cTOP(v2) = v1) | ~ (cTOP(v2) = v0)) & ! [v0:
% 23.40/4.07 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 |
% 23.40/4.07 ~ (cC12(v2) = v1) | ~ (cC12(v2) = v0)) & ! [v0: MultipleValueBool] : !
% 23.40/4.07 [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~ (cC8(v2) = v1) | ~
% 23.40/4.07 (cC8(v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] :
% 23.40/4.07 ! [v2: $i] : (v1 = v0 | ~ (cC10(v2) = v1) | ~ (cC10(v2) = v0)) & ! [v0:
% 23.40/4.07 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 |
% 23.40/4.07 ~ (cC4(v2) = v1) | ~ (cC4(v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1:
% 23.40/4.07 MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~ (xsd_string(v2) = v1) | ~
% 23.40/4.07 (xsd_string(v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1:
% 23.40/4.07 MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~ (xsd_integer(v2) = v1) | ~
% 23.40/4.07 (xsd_integer(v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1:
% 23.40/4.07 MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~ (cowlNothing(v2) = v1) | ~
% 23.40/4.07 (cowlNothing(v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1:
% 23.40/4.07 MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~ (cowlThing(v2) = v1) | ~
% 23.40/4.07 (cowlThing(v2) = v0))
% 23.40/4.07
% 23.40/4.07 Further assumptions not needed in the proof:
% 23.40/4.07 --------------------------------------------
% 23.40/4.07 axiom_10, axiom_11, axiom_12, axiom_13, axiom_15, axiom_16, axiom_18, axiom_19,
% 23.40/4.07 axiom_20, axiom_21, axiom_23, axiom_24, axiom_25, axiom_26, axiom_28, axiom_3,
% 23.40/4.07 axiom_31, axiom_32, axiom_33, axiom_34, axiom_35, axiom_36, axiom_37, axiom_42,
% 23.40/4.07 axiom_43, axiom_44, axiom_45, axiom_46, axiom_47, axiom_48, axiom_49, axiom_5,
% 23.40/4.07 axiom_50, axiom_51, axiom_53, axiom_54, axiom_56, axiom_57, axiom_59, axiom_6,
% 23.40/4.07 axiom_63, axiom_64, axiom_66, axiom_73, axiom_77, axiom_78, axiom_79, axiom_8,
% 23.40/4.07 axiom_82, axiom_83, axiom_9
% 23.40/4.07
% 23.40/4.07 Those formulas are unsatisfiable:
% 23.40/4.07 ---------------------------------
% 23.40/4.07
% 23.40/4.07 Begin of proof
% 23.40/4.07 |
% 23.40/4.07 | ALPHA: (axiom_0) implies:
% 23.40/4.08 | (1) ! [v0: $i] : ( ~ (cowlNothing(v0) = 0) | ~ $i(v0))
% 23.40/4.08 | (2) ! [v0: $i] : ! [v1: int] : (v1 = 0 | ~ (cowlThing(v0) = v1) | ~
% 23.40/4.08 | $i(v0))
% 23.40/4.08 |
% 23.40/4.08 | ALPHA: (axiom_1) implies:
% 23.40/4.08 | (3) ! [v0: $i] : ( ~ (xsd_string(v0) = 0) | ~ $i(v0) | ? [v1: int] : ( ~
% 23.40/4.08 | (v1 = 0) & xsd_integer(v0) = v1))
% 23.40/4.08 | (4) ! [v0: $i] : ! [v1: int] : (v1 = 0 | ~ (xsd_string(v0) = v1) | ~
% 23.40/4.08 | $i(v0) | xsd_integer(v0) = 0)
% 23.40/4.08 |
% 23.40/4.08 | ALPHA: (axiom_2) implies:
% 23.40/4.08 | (5) ! [v0: $i] : ( ~ (cC8(v0) = 0) | ~ $i(v0) | ? [v1: any] : ? [v2:
% 23.40/4.08 | any] : (cC10(v0) = v2 & cC4(v0) = v1 & ( ~ (v1 = 0) | v2 = 0)))
% 23.40/4.08 | (6) ! [v0: $i] : ! [v1: any] : ( ~ (cC8(v0) = v1) | ~ $i(v0) | ? [v2:
% 23.40/4.08 | any] : ? [v3: any] : (cC10(v0) = v2 & cC4(v0) = v3 & ( ~ (v2 = 0)
% 23.40/4.08 | | (v3 = 0 & v1 = 0))))
% 23.40/4.08 |
% 23.40/4.08 | ALPHA: (axiom_4) implies:
% 23.40/4.08 | (7) ! [v0: $i] : ! [v1: int] : (v1 = 0 | ~ (cC14(v0) = v1) | ~ $i(v0) |
% 23.40/4.08 | ! [v2: $i] : ( ~ (cTOP(v2) = 0) | ~ $i(v2) | ? [v3: int] : ( ~ (v3
% 23.40/4.08 | = 0) & rR1(v0, v2) = v3)))
% 23.40/4.08 |
% 23.40/4.08 | ALPHA: (axiom_7) implies:
% 23.40/4.08 | (8) ! [v0: $i] : ! [v1: int] : (v1 = 0 | ~ (cC20(v0) = v1) | ~ $i(v0) |
% 23.40/4.08 | ! [v2: $i] : ! [v3: int] : (v3 = 0 | ~ (cC2(v2) = v3) | ~ $i(v2)
% 23.40/4.08 | | ? [v4: int] : ( ~ (v4 = 0) & rR1(v0, v2) = v4)))
% 23.40/4.08 |
% 23.40/4.08 | ALPHA: (axiom_14) implies:
% 23.40/4.08 | (9) ! [v0: $i] : ! [v1: int] : (v1 = 0 | ~ (cC34(v0) = v1) | ~ $i(v0) |
% 23.40/4.08 | ! [v2: $i] : ! [v3: int] : (v3 = 0 | ~ (cC32(v2) = v3) | ~ $i(v2)
% 23.40/4.08 | | ? [v4: int] : ( ~ (v4 = 0) & rR1(v0, v2) = v4)))
% 23.40/4.08 |
% 23.40/4.08 | ALPHA: (axiom_17) implies:
% 23.40/4.08 | (10) ! [v0: $i] : ! [v1: int] : (v1 = 0 | ~ (cC4(v0) = v1) | ~ $i(v0) |
% 23.40/4.08 | ! [v2: $i] : ! [v3: int] : (v3 = 0 | ~ (cC2(v2) = v3) | ~ $i(v2)
% 23.40/4.08 | | ? [v4: int] : ( ~ (v4 = 0) & rR1(v0, v2) = v4)))
% 23.40/4.08 |
% 23.40/4.08 | ALPHA: (axiom_22) implies:
% 23.40/4.08 | (11) ! [v0: $i] : ! [v1: int] : (v1 = 0 | ~ (cC48(v0) = v1) | ~ $i(v0)
% 23.40/4.08 | | ! [v2: $i] : ! [v3: int] : (v3 = 0 | ~ (cC2(v2) = v3) | ~
% 23.40/4.08 | $i(v2) | ? [v4: int] : ( ~ (v4 = 0) & rR1(v0, v2) = v4)))
% 23.40/4.08 |
% 23.40/4.08 | ALPHA: (axiom_27) implies:
% 23.40/4.08 | (12) ! [v0: $i] : ! [v1: int] : (v1 = 0 | ~ (cC58(v0) = v1) | ~ $i(v0)
% 23.40/4.08 | | ! [v2: $i] : ( ~ (cC2(v2) = 0) | ~ $i(v2) | ? [v3: int] : ( ~
% 23.40/4.08 | (v3 = 0) & rR1(v0, v2) = v3)))
% 23.40/4.09 |
% 23.40/4.09 | ALPHA: (axiom_29) implies:
% 23.40/4.09 | (13) ! [v0: $i] : ! [v1: int] : (v1 = 0 | ~ (cC60(v0) = v1) | ~ $i(v0)
% 23.40/4.09 | | ? [v2: any] : ? [v3: any] : (cC58(v0) = v2 & cC2(v0) = v3 & ( ~
% 23.40/4.09 | (v2 = 0) | v3 = 0)))
% 23.40/4.09 |
% 23.40/4.09 | ALPHA: (axiom_30) implies:
% 23.40/4.09 | (14) ! [v0: $i] : ! [v1: int] : (v1 = 0 | ~ (cC62(v0) = v1) | ~ $i(v0)
% 23.40/4.09 | | ! [v2: $i] : ( ~ (cC60(v2) = 0) | ~ $i(v2) | ? [v3: int] : ( ~
% 23.40/4.09 | (v3 = 0) & rR1(v0, v2) = v3)))
% 23.40/4.09 |
% 23.40/4.09 | ALPHA: (axiom_38) implies:
% 23.40/4.09 | (15) ! [v0: $i] : ! [v1: int] : (v1 = 0 | ~ (cC78(v0) = v1) | ~ $i(v0)
% 23.40/4.09 | | ! [v2: $i] : ! [v3: int] : (v3 = 0 | ~ (cC2(v2) = v3) | ~
% 23.40/4.09 | $i(v2) | ? [v4: int] : ( ~ (v4 = 0) & rR1(v0, v2) = v4)))
% 23.40/4.09 |
% 23.40/4.09 | ALPHA: (axiom_39) implies:
% 23.40/4.09 | (16) ! [v0: $i] : ! [v1: int] : (v1 = 0 | ~ (cC8(v0) = v1) | ~ $i(v0) |
% 23.40/4.09 | ! [v2: $i] : ! [v3: int] : (v3 = 0 | ~ (cC6(v2) = v3) | ~ $i(v2)
% 23.40/4.09 | | ? [v4: int] : ( ~ (v4 = 0) & rR1(v0, v2) = v4)))
% 23.40/4.09 |
% 23.40/4.09 | ALPHA: (axiom_40) implies:
% 23.40/4.09 | (17) ! [v0: $i] : ! [v1: int] : (v1 = 0 | ~ (cC80(v0) = v1) | ~ $i(v0)
% 23.40/4.09 | | ? [v2: any] : ? [v3: any] : (cC78(v0) = v3 & cC2(v0) = v2 & (v3
% 23.40/4.09 | = 0 | v2 = 0)))
% 23.40/4.09 |
% 23.40/4.09 | ALPHA: (axiom_41) implies:
% 23.40/4.09 | (18) ! [v0: $i] : ! [v1: int] : (v1 = 0 | ~ (cC82(v0) = v1) | ~ $i(v0)
% 23.40/4.09 | | ! [v2: $i] : ( ~ (cC80(v2) = 0) | ~ $i(v2) | ? [v3: int] : ( ~
% 23.40/4.09 | (v3 = 0) & rR1(v0, v2) = v3)))
% 23.40/4.09 |
% 23.40/4.09 | ALPHA: (axiom_52) implies:
% 23.40/4.09 | (19) cowlThing(iV8467) = 0
% 23.40/4.09 |
% 23.40/4.09 | ALPHA: (axiom_55) implies:
% 23.40/4.09 | (20) rR1(iV8467, iV8471) = 0
% 23.40/4.09 |
% 23.40/4.09 | ALPHA: (axiom_58) implies:
% 23.40/4.09 | (21) rR1(iV8467, iV8469) = 0
% 23.40/4.09 |
% 23.40/4.09 | ALPHA: (axiom_60) implies:
% 23.40/4.09 | (22) rR1(iV8467, iV8472) = 0
% 23.40/4.09 |
% 23.40/4.09 | ALPHA: (axiom_61) implies:
% 23.40/4.09 | (23) rR1(iV8467, iV8474) = 0
% 23.40/4.09 |
% 23.40/4.09 | ALPHA: (axiom_62) implies:
% 23.40/4.09 | (24) rR1(iV8467, iV8470) = 0
% 23.40/4.09 |
% 23.40/4.09 | ALPHA: (axiom_65) implies:
% 23.40/4.09 | (25) ? [v0: int] : ( ~ (v0 = 0) & cC6(iV8469) = v0)
% 23.40/4.09 |
% 23.40/4.09 | ALPHA: (axiom_67) implies:
% 23.40/4.09 | (26) $i(iV8469)
% 23.40/4.09 |
% 23.40/4.09 | ALPHA: (axiom_68) implies:
% 23.40/4.09 | (27) cTOP(iV8470) = 0
% 23.40/4.09 |
% 23.40/4.09 | ALPHA: (axiom_69) implies:
% 23.40/4.09 | (28) $i(iV8470)
% 23.40/4.09 |
% 23.40/4.09 | ALPHA: (axiom_70) implies:
% 23.40/4.09 | (29) ? [v0: int] : ( ~ (v0 = 0) & cC2(iV8471) = v0)
% 23.40/4.09 |
% 23.40/4.09 | ALPHA: (axiom_71) implies:
% 23.40/4.09 | (30) ? [v0: int] : ( ~ (v0 = 0) & cC78(iV8471) = v0)
% 23.40/4.09 |
% 23.40/4.09 | ALPHA: (axiom_72) implies:
% 23.40/4.09 | (31) cowlThing(iV8471) = 0
% 23.40/4.09 |
% 23.40/4.09 | ALPHA: (axiom_74) implies:
% 23.40/4.09 | (32) ? [v0: int] : ( ~ (v0 = 0) & cC2(iV8472) = v0)
% 23.40/4.09 |
% 23.40/4.09 | ALPHA: (axiom_75) implies:
% 23.40/4.09 | (33) cowlThing(iV8472) = 0
% 23.40/4.09 |
% 23.40/4.09 | ALPHA: (axiom_76) implies:
% 23.40/4.09 | (34) rR1(iV8472, iV8476) = 0
% 23.40/4.09 |
% 23.40/4.09 | ALPHA: (axiom_80) implies:
% 23.40/4.09 | (35) ? [v0: int] : ( ~ (v0 = 0) & cC32(iV8474) = v0)
% 23.40/4.09 |
% 23.40/4.09 | ALPHA: (axiom_81) implies:
% 23.40/4.09 | (36) $i(iV8474)
% 23.40/4.09 |
% 23.40/4.09 | ALPHA: (axiom_84) implies:
% 23.40/4.09 | (37) cC2(iV8476) = 0
% 23.40/4.09 |
% 23.40/4.09 | ALPHA: (axiom_85) implies:
% 23.40/4.09 | (38) $i(iV8476)
% 23.40/4.09 |
% 23.40/4.09 | ALPHA: (the_axiom) implies:
% 23.40/4.09 | (39) $i(iV8467)
% 23.40/4.09 | (40) $i(iV8471)
% 23.40/4.09 | (41) $i(iV8472)
% 23.40/4.10 | (42) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? [v3: any] : ? [v4:
% 23.40/4.10 | any] : ? [v5: any] : ? [v6: any] : ? [v7: any] : ? [v8: any] :
% 23.40/4.10 | ? [v9: any] : ? [v10: any] : ? [v11: any] : ? [v12: any] : ? [v13:
% 23.40/4.10 | any] : ? [v14: any] : (cC82(iV8467) = v3 & cC80(iV8471) = v11 &
% 23.40/4.10 | cC62(iV8467) = v8 & cC60(iV8472) = v12 & cC58(iV8472) = v14 &
% 23.40/4.10 | cC48(iV8467) = v1 & cC34(iV8467) = v9 & cC20(iV8467) = v6 &
% 23.40/4.10 | cC14(iV8467) = v4 & cC8(iV8467) = v5 & cC10(iV8467) = v0 &
% 23.40/4.10 | cC4(iV8467) = v2 & cowlThing(iV8472) = v13 & cowlThing(iV8471) = v10
% 23.40/4.10 | & cowlThing(iV8467) = v7 & ( ~ (v14 = 0) | ~ (v13 = 0) | ~ (v12 =
% 23.40/4.10 | 0) | ~ (v11 = 0) | ~ (v10 = 0) | ~ (v9 = 0) | ~ (v8 = 0) |
% 23.40/4.10 | ~ (v7 = 0) | ~ (v6 = 0) | ~ (v5 = 0) | ~ (v4 = 0) | ~ (v3 = 0)
% 23.40/4.10 | | ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 = 0) | ? [v15: $i] : ?
% 23.40/4.10 | [v16: any] : ? [v17: any] : (xsd_string(v15) = v16 &
% 23.40/4.10 | xsd_integer(v15) = v17 & $i(v15) & ((v17 = 0 & v16 = 0) | ( ~
% 23.40/4.10 | (v17 = 0) & ~ (v16 = 0)))) | ? [v15: $i] : ? [v16: any] :
% 23.40/4.10 | ? [v17: any] : (cowlNothing(v15) = v17 & cowlThing(v15) = v16 &
% 23.40/4.10 | $i(v15) & ( ~ (v16 = 0) | v17 = 0))))
% 23.40/4.10 |
% 23.40/4.10 | ALPHA: (function-axioms) implies:
% 23.40/4.10 | (43) ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i]
% 23.40/4.10 | : (v1 = v0 | ~ (cowlThing(v2) = v1) | ~ (cowlThing(v2) = v0))
% 23.40/4.10 | (44) ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i]
% 23.40/4.10 | : (v1 = v0 | ~ (xsd_integer(v2) = v1) | ~ (xsd_integer(v2) = v0))
% 23.40/4.10 | (45) ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i]
% 23.40/4.10 | : (v1 = v0 | ~ (cC4(v2) = v1) | ~ (cC4(v2) = v0))
% 23.40/4.10 | (46) ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i]
% 23.40/4.10 | : (v1 = v0 | ~ (cC10(v2) = v1) | ~ (cC10(v2) = v0))
% 23.40/4.10 | (47) ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i]
% 23.40/4.10 | : (v1 = v0 | ~ (cC2(v2) = v1) | ~ (cC2(v2) = v0))
% 23.40/4.10 | (48) ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i]
% 23.40/4.10 | : (v1 = v0 | ~ (cC58(v2) = v1) | ~ (cC58(v2) = v0))
% 23.40/4.10 | (49) ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i]
% 23.40/4.10 | : (v1 = v0 | ~ (cC78(v2) = v1) | ~ (cC78(v2) = v0))
% 23.40/4.10 | (50) ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i]
% 23.40/4.10 | : ! [v3: $i] : (v1 = v0 | ~ (rR1(v3, v2) = v1) | ~ (rR1(v3, v2) =
% 23.40/4.10 | v0))
% 23.40/4.10 |
% 23.40/4.10 | DELTA: instantiating (29) with fresh symbol all_60_0 gives:
% 23.40/4.10 | (51) ~ (all_60_0 = 0) & cC2(iV8471) = all_60_0
% 23.40/4.10 |
% 23.40/4.10 | ALPHA: (51) implies:
% 23.40/4.10 | (52) ~ (all_60_0 = 0)
% 23.67/4.10 | (53) cC2(iV8471) = all_60_0
% 23.67/4.10 |
% 23.67/4.10 | DELTA: instantiating (30) with fresh symbol all_64_0 gives:
% 23.67/4.10 | (54) ~ (all_64_0 = 0) & cC78(iV8471) = all_64_0
% 23.67/4.10 |
% 23.67/4.10 | ALPHA: (54) implies:
% 23.67/4.10 | (55) ~ (all_64_0 = 0)
% 23.67/4.10 | (56) cC78(iV8471) = all_64_0
% 23.67/4.10 |
% 23.67/4.10 | DELTA: instantiating (35) with fresh symbol all_66_0 gives:
% 23.67/4.10 | (57) ~ (all_66_0 = 0) & cC32(iV8474) = all_66_0
% 23.67/4.10 |
% 23.67/4.10 | ALPHA: (57) implies:
% 23.67/4.10 | (58) ~ (all_66_0 = 0)
% 23.67/4.10 | (59) cC32(iV8474) = all_66_0
% 23.67/4.10 |
% 23.67/4.10 | DELTA: instantiating (32) with fresh symbol all_72_0 gives:
% 23.67/4.10 | (60) ~ (all_72_0 = 0) & cC2(iV8472) = all_72_0
% 23.67/4.10 |
% 23.67/4.10 | ALPHA: (60) implies:
% 23.67/4.10 | (61) ~ (all_72_0 = 0)
% 23.67/4.10 | (62) cC2(iV8472) = all_72_0
% 23.67/4.10 |
% 23.67/4.10 | DELTA: instantiating (25) with fresh symbol all_74_0 gives:
% 23.67/4.10 | (63) ~ (all_74_0 = 0) & cC6(iV8469) = all_74_0
% 23.67/4.10 |
% 23.67/4.10 | ALPHA: (63) implies:
% 23.67/4.10 | (64) ~ (all_74_0 = 0)
% 23.67/4.10 | (65) cC6(iV8469) = all_74_0
% 23.67/4.10 |
% 23.67/4.10 | DELTA: instantiating (42) with fresh symbols all_82_0, all_82_1, all_82_2,
% 23.67/4.10 | all_82_3, all_82_4, all_82_5, all_82_6, all_82_7, all_82_8, all_82_9,
% 23.67/4.10 | all_82_10, all_82_11, all_82_12, all_82_13, all_82_14 gives:
% 23.67/4.11 | (66) cC82(iV8467) = all_82_11 & cC80(iV8471) = all_82_3 & cC62(iV8467) =
% 23.67/4.11 | all_82_6 & cC60(iV8472) = all_82_2 & cC58(iV8472) = all_82_0 &
% 23.67/4.11 | cC48(iV8467) = all_82_13 & cC34(iV8467) = all_82_5 & cC20(iV8467) =
% 23.67/4.11 | all_82_8 & cC14(iV8467) = all_82_10 & cC8(iV8467) = all_82_9 &
% 23.67/4.11 | cC10(iV8467) = all_82_14 & cC4(iV8467) = all_82_12 & cowlThing(iV8472)
% 23.67/4.11 | = all_82_1 & cowlThing(iV8471) = all_82_4 & cowlThing(iV8467) =
% 23.67/4.11 | all_82_7 & ( ~ (all_82_0 = 0) | ~ (all_82_1 = 0) | ~ (all_82_2 = 0)
% 23.67/4.11 | | ~ (all_82_3 = 0) | ~ (all_82_4 = 0) | ~ (all_82_5 = 0) | ~
% 23.67/4.11 | (all_82_6 = 0) | ~ (all_82_7 = 0) | ~ (all_82_8 = 0) | ~
% 23.67/4.11 | (all_82_9 = 0) | ~ (all_82_10 = 0) | ~ (all_82_11 = 0) | ~
% 23.67/4.11 | (all_82_12 = 0) | ~ (all_82_13 = 0) | ~ (all_82_14 = 0) | ? [v0:
% 23.67/4.11 | $i] : ? [v1: any] : ? [v2: any] : (xsd_string(v0) = v1 &
% 23.67/4.11 | xsd_integer(v0) = v2 & $i(v0) & ((v2 = 0 & v1 = 0) | ( ~ (v2 = 0)
% 23.67/4.11 | & ~ (v1 = 0)))) | ? [v0: $i] : ? [v1: any] : ? [v2: any] :
% 23.67/4.11 | (cowlNothing(v0) = v2 & cowlThing(v0) = v1 & $i(v0) & ( ~ (v1 = 0) |
% 23.67/4.11 | v2 = 0)))
% 23.67/4.11 |
% 23.67/4.11 | ALPHA: (66) implies:
% 23.67/4.11 | (67) cowlThing(iV8467) = all_82_7
% 23.67/4.11 | (68) cowlThing(iV8471) = all_82_4
% 23.67/4.11 | (69) cowlThing(iV8472) = all_82_1
% 23.67/4.11 | (70) cC4(iV8467) = all_82_12
% 23.67/4.11 | (71) cC10(iV8467) = all_82_14
% 23.67/4.11 | (72) cC8(iV8467) = all_82_9
% 23.67/4.11 | (73) cC14(iV8467) = all_82_10
% 23.67/4.11 | (74) cC20(iV8467) = all_82_8
% 23.67/4.11 | (75) cC34(iV8467) = all_82_5
% 23.67/4.11 | (76) cC48(iV8467) = all_82_13
% 23.67/4.11 | (77) cC58(iV8472) = all_82_0
% 23.67/4.11 | (78) cC60(iV8472) = all_82_2
% 23.67/4.11 | (79) cC62(iV8467) = all_82_6
% 23.67/4.11 | (80) cC80(iV8471) = all_82_3
% 23.67/4.11 | (81) cC82(iV8467) = all_82_11
% 23.67/4.11 | (82) ~ (all_82_0 = 0) | ~ (all_82_1 = 0) | ~ (all_82_2 = 0) | ~
% 23.67/4.11 | (all_82_3 = 0) | ~ (all_82_4 = 0) | ~ (all_82_5 = 0) | ~ (all_82_6
% 23.67/4.11 | = 0) | ~ (all_82_7 = 0) | ~ (all_82_8 = 0) | ~ (all_82_9 = 0) |
% 23.67/4.11 | ~ (all_82_10 = 0) | ~ (all_82_11 = 0) | ~ (all_82_12 = 0) | ~
% 23.67/4.11 | (all_82_13 = 0) | ~ (all_82_14 = 0) | ? [v0: $i] : ? [v1: any] : ?
% 23.67/4.11 | [v2: any] : (xsd_string(v0) = v1 & xsd_integer(v0) = v2 & $i(v0) &
% 23.67/4.11 | ((v2 = 0 & v1 = 0) | ( ~ (v2 = 0) & ~ (v1 = 0)))) | ? [v0: $i] :
% 23.67/4.11 | ? [v1: any] : ? [v2: any] : (cowlNothing(v0) = v2 & cowlThing(v0) =
% 23.67/4.11 | v1 & $i(v0) & ( ~ (v1 = 0) | v2 = 0))
% 23.67/4.11 |
% 23.67/4.11 | GROUND_INST: instantiating (43) with 0, all_82_7, iV8467, simplifying with
% 23.67/4.11 | (19), (67) gives:
% 23.67/4.11 | (83) all_82_7 = 0
% 23.67/4.11 |
% 23.67/4.11 | GROUND_INST: instantiating (43) with 0, all_82_4, iV8471, simplifying with
% 23.67/4.11 | (31), (68) gives:
% 23.67/4.11 | (84) all_82_4 = 0
% 23.67/4.11 |
% 23.67/4.11 | GROUND_INST: instantiating (43) with 0, all_82_1, iV8472, simplifying with
% 23.67/4.11 | (33), (69) gives:
% 23.67/4.11 | (85) all_82_1 = 0
% 23.67/4.11 |
% 23.67/4.11 | GROUND_INST: instantiating (10) with iV8467, all_82_12, simplifying with (39),
% 23.67/4.11 | (70) gives:
% 23.67/4.11 | (86) all_82_12 = 0 | ! [v0: $i] : ! [v1: int] : (v1 = 0 | ~ (cC2(v0) =
% 23.67/4.11 | v1) | ~ $i(v0) | ? [v2: int] : ( ~ (v2 = 0) & rR1(iV8467, v0) =
% 23.67/4.11 | v2))
% 23.67/4.11 |
% 23.67/4.11 | GROUND_INST: instantiating (16) with iV8467, all_82_9, simplifying with (39),
% 23.67/4.11 | (72) gives:
% 23.67/4.11 | (87) all_82_9 = 0 | ! [v0: $i] : ! [v1: int] : (v1 = 0 | ~ (cC6(v0) =
% 23.67/4.11 | v1) | ~ $i(v0) | ? [v2: int] : ( ~ (v2 = 0) & rR1(iV8467, v0) =
% 23.67/4.11 | v2))
% 23.67/4.11 |
% 23.67/4.11 | GROUND_INST: instantiating (6) with iV8467, all_82_9, simplifying with (39),
% 23.67/4.11 | (72) gives:
% 23.67/4.11 | (88) ? [v0: any] : ? [v1: any] : (cC10(iV8467) = v0 & cC4(iV8467) = v1 &
% 23.67/4.11 | ( ~ (v0 = 0) | (v1 = 0 & all_82_9 = 0)))
% 23.67/4.11 |
% 23.67/4.11 | GROUND_INST: instantiating (7) with iV8467, all_82_10, simplifying with (39),
% 23.67/4.11 | (73) gives:
% 23.67/4.11 | (89) all_82_10 = 0 | ! [v0: $i] : ( ~ (cTOP(v0) = 0) | ~ $i(v0) | ? [v1:
% 23.67/4.11 | int] : ( ~ (v1 = 0) & rR1(iV8467, v0) = v1))
% 23.67/4.11 |
% 23.67/4.11 | GROUND_INST: instantiating (8) with iV8467, all_82_8, simplifying with (39),
% 23.67/4.11 | (74) gives:
% 23.67/4.11 | (90) all_82_8 = 0 | ! [v0: $i] : ! [v1: int] : (v1 = 0 | ~ (cC2(v0) =
% 23.67/4.11 | v1) | ~ $i(v0) | ? [v2: int] : ( ~ (v2 = 0) & rR1(iV8467, v0) =
% 23.67/4.11 | v2))
% 23.67/4.11 |
% 23.67/4.11 | GROUND_INST: instantiating (9) with iV8467, all_82_5, simplifying with (39),
% 23.67/4.11 | (75) gives:
% 23.67/4.12 | (91) all_82_5 = 0 | ! [v0: $i] : ! [v1: int] : (v1 = 0 | ~ (cC32(v0) =
% 23.67/4.12 | v1) | ~ $i(v0) | ? [v2: int] : ( ~ (v2 = 0) & rR1(iV8467, v0) =
% 23.67/4.12 | v2))
% 23.67/4.12 |
% 23.67/4.12 | GROUND_INST: instantiating (11) with iV8467, all_82_13, simplifying with (39),
% 23.67/4.12 | (76) gives:
% 23.67/4.12 | (92) all_82_13 = 0 | ! [v0: $i] : ! [v1: int] : (v1 = 0 | ~ (cC2(v0) =
% 23.67/4.12 | v1) | ~ $i(v0) | ? [v2: int] : ( ~ (v2 = 0) & rR1(iV8467, v0) =
% 23.67/4.12 | v2))
% 23.67/4.12 |
% 23.67/4.12 | GROUND_INST: instantiating (12) with iV8472, all_82_0, simplifying with (41),
% 23.67/4.12 | (77) gives:
% 23.67/4.12 | (93) all_82_0 = 0 | ! [v0: $i] : ( ~ (cC2(v0) = 0) | ~ $i(v0) | ? [v1:
% 23.67/4.12 | int] : ( ~ (v1 = 0) & rR1(iV8472, v0) = v1))
% 23.67/4.12 |
% 23.67/4.12 | GROUND_INST: instantiating (13) with iV8472, all_82_2, simplifying with (41),
% 23.67/4.12 | (78) gives:
% 23.67/4.12 | (94) all_82_2 = 0 | ? [v0: any] : ? [v1: any] : (cC58(iV8472) = v0 &
% 23.67/4.12 | cC2(iV8472) = v1 & ( ~ (v0 = 0) | v1 = 0))
% 23.67/4.12 |
% 23.67/4.12 | GROUND_INST: instantiating (14) with iV8467, all_82_6, simplifying with (39),
% 23.67/4.12 | (79) gives:
% 23.67/4.12 | (95) all_82_6 = 0 | ! [v0: $i] : ( ~ (cC60(v0) = 0) | ~ $i(v0) | ? [v1:
% 23.67/4.12 | int] : ( ~ (v1 = 0) & rR1(iV8467, v0) = v1))
% 23.67/4.12 |
% 23.67/4.12 | GROUND_INST: instantiating (15) with iV8471, all_64_0, simplifying with (40),
% 23.67/4.12 | (56) gives:
% 23.67/4.12 | (96) all_64_0 = 0 | ! [v0: $i] : ! [v1: int] : (v1 = 0 | ~ (cC2(v0) =
% 23.67/4.12 | v1) | ~ $i(v0) | ? [v2: int] : ( ~ (v2 = 0) & rR1(iV8471, v0) =
% 23.67/4.12 | v2))
% 23.67/4.12 |
% 23.67/4.12 | GROUND_INST: instantiating (17) with iV8471, all_82_3, simplifying with (40),
% 23.67/4.12 | (80) gives:
% 23.67/4.12 | (97) all_82_3 = 0 | ? [v0: any] : ? [v1: any] : (cC78(iV8471) = v1 &
% 23.67/4.12 | cC2(iV8471) = v0 & (v1 = 0 | v0 = 0))
% 23.67/4.12 |
% 23.67/4.12 | GROUND_INST: instantiating (18) with iV8467, all_82_11, simplifying with (39),
% 23.67/4.12 | (81) gives:
% 23.67/4.12 | (98) all_82_11 = 0 | ! [v0: $i] : ( ~ (cC80(v0) = 0) | ~ $i(v0) | ? [v1:
% 23.67/4.12 | int] : ( ~ (v1 = 0) & rR1(iV8467, v0) = v1))
% 23.67/4.12 |
% 23.67/4.12 | DELTA: instantiating (88) with fresh symbols all_93_0, all_93_1 gives:
% 23.67/4.12 | (99) cC10(iV8467) = all_93_1 & cC4(iV8467) = all_93_0 & ( ~ (all_93_1 = 0)
% 23.67/4.12 | | (all_93_0 = 0 & all_82_9 = 0))
% 23.67/4.12 |
% 23.67/4.12 | ALPHA: (99) implies:
% 23.67/4.12 | (100) cC4(iV8467) = all_93_0
% 23.67/4.12 | (101) cC10(iV8467) = all_93_1
% 23.67/4.12 |
% 23.67/4.12 | BETA: splitting (97) gives:
% 23.67/4.12 |
% 23.67/4.12 | Case 1:
% 23.67/4.12 | |
% 23.67/4.12 | | (102) all_82_3 = 0
% 23.67/4.12 | |
% 23.67/4.12 | | REDUCE: (80), (102) imply:
% 23.67/4.12 | | (103) cC80(iV8471) = 0
% 23.67/4.12 | |
% 23.67/4.12 | | GROUND_INST: instantiating (45) with all_82_12, all_93_0, iV8467,
% 23.67/4.12 | | simplifying with (70), (100) gives:
% 23.67/4.12 | | (104) all_93_0 = all_82_12
% 23.67/4.12 | |
% 23.67/4.12 | | GROUND_INST: instantiating (46) with all_82_14, all_93_1, iV8467,
% 23.67/4.12 | | simplifying with (71), (101) gives:
% 23.67/4.12 | | (105) all_93_1 = all_82_14
% 23.67/4.12 | |
% 23.67/4.12 | | BETA: splitting (95) gives:
% 23.67/4.12 | |
% 23.67/4.12 | | Case 1:
% 23.67/4.12 | | |
% 23.67/4.12 | | | (106) all_82_6 = 0
% 23.67/4.12 | | |
% 23.67/4.12 | | | BETA: splitting (92) gives:
% 23.67/4.12 | | |
% 23.67/4.12 | | | Case 1:
% 23.67/4.12 | | | |
% 23.67/4.12 | | | | (107) all_82_13 = 0
% 23.67/4.12 | | | |
% 23.67/4.12 | | | | BETA: splitting (89) gives:
% 23.67/4.12 | | | |
% 23.67/4.12 | | | | Case 1:
% 23.67/4.12 | | | | |
% 23.67/4.12 | | | | | (108) all_82_10 = 0
% 23.67/4.12 | | | | |
% 23.67/4.12 | | | | | BETA: splitting (98) gives:
% 23.67/4.12 | | | | |
% 23.67/4.12 | | | | | Case 1:
% 23.67/4.12 | | | | | |
% 23.67/4.12 | | | | | | (109) all_82_11 = 0
% 23.67/4.12 | | | | | |
% 23.67/4.12 | | | | | | BETA: splitting (86) gives:
% 23.67/4.12 | | | | | |
% 23.67/4.12 | | | | | | Case 1:
% 23.67/4.12 | | | | | | |
% 23.67/4.12 | | | | | | | (110) all_82_12 = 0
% 23.67/4.12 | | | | | | |
% 23.67/4.12 | | | | | | | REDUCE: (70), (110) imply:
% 23.67/4.12 | | | | | | | (111) cC4(iV8467) = 0
% 23.67/4.12 | | | | | | |
% 23.67/4.12 | | | | | | | BETA: splitting (93) gives:
% 23.67/4.12 | | | | | | |
% 23.67/4.12 | | | | | | | Case 1:
% 23.67/4.12 | | | | | | | |
% 23.67/4.12 | | | | | | | | (112) all_82_0 = 0
% 23.67/4.12 | | | | | | | |
% 23.67/4.12 | | | | | | | | REDUCE: (77), (112) imply:
% 23.67/4.12 | | | | | | | | (113) cC58(iV8472) = 0
% 23.67/4.12 | | | | | | | |
% 23.67/4.12 | | | | | | | | BETA: splitting (94) gives:
% 23.67/4.12 | | | | | | | |
% 23.67/4.12 | | | | | | | | Case 1:
% 23.67/4.12 | | | | | | | | |
% 23.67/4.12 | | | | | | | | | (114) all_82_2 = 0
% 23.67/4.12 | | | | | | | | |
% 23.67/4.12 | | | | | | | | | BETA: splitting (90) gives:
% 23.67/4.12 | | | | | | | | |
% 23.67/4.12 | | | | | | | | | Case 1:
% 23.67/4.12 | | | | | | | | | |
% 23.67/4.12 | | | | | | | | | | (115) all_82_8 = 0
% 23.67/4.12 | | | | | | | | | |
% 23.67/4.12 | | | | | | | | | | BETA: splitting (91) gives:
% 23.67/4.12 | | | | | | | | | |
% 23.67/4.12 | | | | | | | | | | Case 1:
% 23.67/4.12 | | | | | | | | | | |
% 23.67/4.12 | | | | | | | | | | | (116) all_82_5 = 0
% 23.67/4.12 | | | | | | | | | | |
% 23.67/4.12 | | | | | | | | | | | BETA: splitting (87) gives:
% 23.67/4.12 | | | | | | | | | | |
% 23.67/4.12 | | | | | | | | | | | Case 1:
% 23.67/4.12 | | | | | | | | | | | |
% 23.67/4.12 | | | | | | | | | | | | (117) all_82_9 = 0
% 23.67/4.12 | | | | | | | | | | | |
% 23.67/4.12 | | | | | | | | | | | | REDUCE: (72), (117) imply:
% 23.67/4.12 | | | | | | | | | | | | (118) cC8(iV8467) = 0
% 23.67/4.12 | | | | | | | | | | | |
% 23.67/4.13 | | | | | | | | | | | | GROUND_INST: instantiating (5) with iV8467, simplifying with
% 23.67/4.13 | | | | | | | | | | | | (39), (118) gives:
% 23.67/4.13 | | | | | | | | | | | | (119) ? [v0: any] : ? [v1: any] : (cC10(iV8467) = v1 &
% 23.67/4.13 | | | | | | | | | | | | cC4(iV8467) = v0 & ( ~ (v0 = 0) | v1 = 0))
% 23.67/4.13 | | | | | | | | | | | |
% 23.67/4.13 | | | | | | | | | | | | DELTA: instantiating (119) with fresh symbols all_272_0,
% 23.67/4.13 | | | | | | | | | | | | all_272_1 gives:
% 23.67/4.13 | | | | | | | | | | | | (120) cC10(iV8467) = all_272_0 & cC4(iV8467) = all_272_1
% 23.67/4.13 | | | | | | | | | | | | & ( ~ (all_272_1 = 0) | all_272_0 = 0)
% 23.67/4.13 | | | | | | | | | | | |
% 23.67/4.13 | | | | | | | | | | | | ALPHA: (120) implies:
% 23.67/4.13 | | | | | | | | | | | | (121) cC4(iV8467) = all_272_1
% 23.67/4.13 | | | | | | | | | | | | (122) cC10(iV8467) = all_272_0
% 23.67/4.13 | | | | | | | | | | | | (123) ~ (all_272_1 = 0) | all_272_0 = 0
% 23.67/4.13 | | | | | | | | | | | |
% 23.67/4.13 | | | | | | | | | | | | GROUND_INST: instantiating (45) with 0, all_272_1, iV8467,
% 23.67/4.13 | | | | | | | | | | | | simplifying with (111), (121) gives:
% 23.67/4.13 | | | | | | | | | | | | (124) all_272_1 = 0
% 23.67/4.13 | | | | | | | | | | | |
% 23.67/4.13 | | | | | | | | | | | | GROUND_INST: instantiating (46) with all_82_14, all_272_0,
% 23.67/4.13 | | | | | | | | | | | | iV8467, simplifying with (71), (122) gives:
% 23.67/4.13 | | | | | | | | | | | | (125) all_272_0 = all_82_14
% 23.67/4.13 | | | | | | | | | | | |
% 23.67/4.13 | | | | | | | | | | | | BETA: splitting (123) gives:
% 23.67/4.13 | | | | | | | | | | | |
% 23.67/4.13 | | | | | | | | | | | | Case 1:
% 23.67/4.13 | | | | | | | | | | | | |
% 23.67/4.13 | | | | | | | | | | | | | (126) ~ (all_272_1 = 0)
% 23.67/4.13 | | | | | | | | | | | | |
% 23.67/4.13 | | | | | | | | | | | | | REDUCE: (124), (126) imply:
% 23.67/4.13 | | | | | | | | | | | | | (127) $false
% 23.67/4.13 | | | | | | | | | | | | |
% 23.67/4.13 | | | | | | | | | | | | | CLOSE: (127) is inconsistent.
% 23.67/4.13 | | | | | | | | | | | | |
% 23.67/4.13 | | | | | | | | | | | | Case 2:
% 23.67/4.13 | | | | | | | | | | | | |
% 23.67/4.13 | | | | | | | | | | | | | (128) all_272_0 = 0
% 23.67/4.13 | | | | | | | | | | | | |
% 23.67/4.13 | | | | | | | | | | | | | COMBINE_EQS: (125), (128) imply:
% 23.67/4.13 | | | | | | | | | | | | | (129) all_82_14 = 0
% 23.67/4.13 | | | | | | | | | | | | |
% 23.67/4.13 | | | | | | | | | | | | | BETA: splitting (82) gives:
% 23.67/4.13 | | | | | | | | | | | | |
% 23.67/4.13 | | | | | | | | | | | | | Case 1:
% 23.67/4.13 | | | | | | | | | | | | | |
% 23.67/4.13 | | | | | | | | | | | | | | (130) ~ (all_82_0 = 0)
% 23.67/4.13 | | | | | | | | | | | | | |
% 23.67/4.13 | | | | | | | | | | | | | | REDUCE: (112), (130) imply:
% 23.67/4.13 | | | | | | | | | | | | | | (131) $false
% 23.67/4.13 | | | | | | | | | | | | | |
% 23.67/4.13 | | | | | | | | | | | | | | CLOSE: (131) is inconsistent.
% 23.67/4.13 | | | | | | | | | | | | | |
% 23.67/4.13 | | | | | | | | | | | | | Case 2:
% 23.67/4.13 | | | | | | | | | | | | | |
% 23.67/4.13 | | | | | | | | | | | | | | (132) ~ (all_82_1 = 0) | ~ (all_82_2 = 0) | ~
% 23.67/4.13 | | | | | | | | | | | | | | (all_82_3 = 0) | ~ (all_82_4 = 0) | ~ (all_82_5
% 23.67/4.13 | | | | | | | | | | | | | | = 0) | ~ (all_82_6 = 0) | ~ (all_82_7 = 0) |
% 23.67/4.13 | | | | | | | | | | | | | | ~ (all_82_8 = 0) | ~ (all_82_9 = 0) | ~
% 23.67/4.13 | | | | | | | | | | | | | | (all_82_10 = 0) | ~ (all_82_11 = 0) | ~
% 23.67/4.13 | | | | | | | | | | | | | | (all_82_12 = 0) | ~ (all_82_13 = 0) | ~
% 23.67/4.13 | | | | | | | | | | | | | | (all_82_14 = 0) | ? [v0: $i] : ? [v1: any] : ?
% 23.67/4.13 | | | | | | | | | | | | | | [v2: any] : (xsd_string(v0) = v1 & xsd_integer(v0)
% 23.67/4.13 | | | | | | | | | | | | | | = v2 & $i(v0) & ((v2 = 0 & v1 = 0) | ( ~ (v2 =
% 23.67/4.13 | | | | | | | | | | | | | | 0) & ~ (v1 = 0)))) | ? [v0: $i] : ?
% 23.67/4.13 | | | | | | | | | | | | | | [v1: any] : ? [v2: any] : (cowlNothing(v0) = v2 &
% 23.67/4.13 | | | | | | | | | | | | | | cowlThing(v0) = v1 & $i(v0) & ( ~ (v1 = 0) | v2
% 23.67/4.13 | | | | | | | | | | | | | | = 0))
% 23.67/4.13 | | | | | | | | | | | | | |
% 23.67/4.13 | | | | | | | | | | | | | | BETA: splitting (132) gives:
% 23.67/4.13 | | | | | | | | | | | | | |
% 23.67/4.13 | | | | | | | | | | | | | | Case 1:
% 23.67/4.13 | | | | | | | | | | | | | | |
% 23.67/4.13 | | | | | | | | | | | | | | | (133) ~ (all_82_1 = 0)
% 23.67/4.13 | | | | | | | | | | | | | | |
% 23.67/4.13 | | | | | | | | | | | | | | | REDUCE: (85), (133) imply:
% 23.67/4.13 | | | | | | | | | | | | | | | (134) $false
% 23.67/4.13 | | | | | | | | | | | | | | |
% 23.67/4.13 | | | | | | | | | | | | | | | CLOSE: (134) is inconsistent.
% 23.67/4.13 | | | | | | | | | | | | | | |
% 23.67/4.13 | | | | | | | | | | | | | | Case 2:
% 23.67/4.13 | | | | | | | | | | | | | | |
% 23.67/4.13 | | | | | | | | | | | | | | | (135) ~ (all_82_2 = 0) | ~ (all_82_3 = 0) | ~
% 23.67/4.13 | | | | | | | | | | | | | | | (all_82_4 = 0) | ~ (all_82_5 = 0) | ~ (all_82_6
% 23.67/4.13 | | | | | | | | | | | | | | | = 0) | ~ (all_82_7 = 0) | ~ (all_82_8 = 0) |
% 23.67/4.13 | | | | | | | | | | | | | | | ~ (all_82_9 = 0) | ~ (all_82_10 = 0) | ~
% 23.67/4.13 | | | | | | | | | | | | | | | (all_82_11 = 0) | ~ (all_82_12 = 0) | ~
% 23.67/4.13 | | | | | | | | | | | | | | | (all_82_13 = 0) | ~ (all_82_14 = 0) | ? [v0: $i]
% 23.67/4.13 | | | | | | | | | | | | | | | : ? [v1: any] : ? [v2: any] : (xsd_string(v0) =
% 23.67/4.13 | | | | | | | | | | | | | | | v1 & xsd_integer(v0) = v2 & $i(v0) & ((v2 = 0 &
% 23.67/4.13 | | | | | | | | | | | | | | | v1 = 0) | ( ~ (v2 = 0) & ~ (v1 = 0)))) | ?
% 23.67/4.13 | | | | | | | | | | | | | | | [v0: $i] : ? [v1: any] : ? [v2: any] :
% 23.67/4.13 | | | | | | | | | | | | | | | (cowlNothing(v0) = v2 & cowlThing(v0) = v1 &
% 23.67/4.13 | | | | | | | | | | | | | | | $i(v0) & ( ~ (v1 = 0) | v2 = 0))
% 23.67/4.13 | | | | | | | | | | | | | | |
% 23.67/4.13 | | | | | | | | | | | | | | | BETA: splitting (135) gives:
% 23.67/4.13 | | | | | | | | | | | | | | |
% 23.67/4.13 | | | | | | | | | | | | | | | Case 1:
% 23.67/4.13 | | | | | | | | | | | | | | | |
% 23.67/4.13 | | | | | | | | | | | | | | | | (136) ~ (all_82_2 = 0)
% 23.67/4.13 | | | | | | | | | | | | | | | |
% 23.67/4.13 | | | | | | | | | | | | | | | | REDUCE: (114), (136) imply:
% 23.67/4.13 | | | | | | | | | | | | | | | | (137) $false
% 23.67/4.13 | | | | | | | | | | | | | | | |
% 23.67/4.13 | | | | | | | | | | | | | | | | CLOSE: (137) is inconsistent.
% 23.67/4.13 | | | | | | | | | | | | | | | |
% 23.67/4.13 | | | | | | | | | | | | | | | Case 2:
% 23.67/4.13 | | | | | | | | | | | | | | | |
% 23.67/4.13 | | | | | | | | | | | | | | | | (138) ~ (all_82_3 = 0) | ~ (all_82_4 = 0) | ~
% 23.67/4.13 | | | | | | | | | | | | | | | | (all_82_5 = 0) | ~ (all_82_6 = 0) | ~ (all_82_7
% 23.67/4.13 | | | | | | | | | | | | | | | | = 0) | ~ (all_82_8 = 0) | ~ (all_82_9 = 0) |
% 23.67/4.13 | | | | | | | | | | | | | | | | ~ (all_82_10 = 0) | ~ (all_82_11 = 0) | ~
% 23.67/4.13 | | | | | | | | | | | | | | | | (all_82_12 = 0) | ~ (all_82_13 = 0) | ~
% 23.67/4.13 | | | | | | | | | | | | | | | | (all_82_14 = 0) | ? [v0: $i] : ? [v1: any] : ?
% 23.67/4.13 | | | | | | | | | | | | | | | | [v2: any] : (xsd_string(v0) = v1 & xsd_integer(v0)
% 23.67/4.13 | | | | | | | | | | | | | | | | = v2 & $i(v0) & ((v2 = 0 & v1 = 0) | ( ~ (v2 =
% 23.67/4.13 | | | | | | | | | | | | | | | | 0) & ~ (v1 = 0)))) | ? [v0: $i] : ?
% 23.67/4.13 | | | | | | | | | | | | | | | | [v1: any] : ? [v2: any] : (cowlNothing(v0) = v2 &
% 23.67/4.13 | | | | | | | | | | | | | | | | cowlThing(v0) = v1 & $i(v0) & ( ~ (v1 = 0) | v2
% 23.67/4.13 | | | | | | | | | | | | | | | | = 0))
% 23.67/4.13 | | | | | | | | | | | | | | | |
% 23.67/4.13 | | | | | | | | | | | | | | | | BETA: splitting (138) gives:
% 23.67/4.13 | | | | | | | | | | | | | | | |
% 23.67/4.13 | | | | | | | | | | | | | | | | Case 1:
% 23.67/4.13 | | | | | | | | | | | | | | | | |
% 23.67/4.13 | | | | | | | | | | | | | | | | | (139) ~ (all_82_3 = 0)
% 23.67/4.13 | | | | | | | | | | | | | | | | |
% 23.67/4.13 | | | | | | | | | | | | | | | | | REDUCE: (102), (139) imply:
% 23.67/4.13 | | | | | | | | | | | | | | | | | (140) $false
% 23.67/4.13 | | | | | | | | | | | | | | | | |
% 23.67/4.13 | | | | | | | | | | | | | | | | | CLOSE: (140) is inconsistent.
% 23.67/4.13 | | | | | | | | | | | | | | | | |
% 23.67/4.13 | | | | | | | | | | | | | | | | Case 2:
% 23.67/4.13 | | | | | | | | | | | | | | | | |
% 23.67/4.14 | | | | | | | | | | | | | | | | | (141) ~ (all_82_4 = 0) | ~ (all_82_5 = 0) | ~
% 23.67/4.14 | | | | | | | | | | | | | | | | | (all_82_6 = 0) | ~ (all_82_7 = 0) | ~ (all_82_8
% 23.67/4.14 | | | | | | | | | | | | | | | | | = 0) | ~ (all_82_9 = 0) | ~ (all_82_10 = 0) |
% 23.67/4.14 | | | | | | | | | | | | | | | | | ~ (all_82_11 = 0) | ~ (all_82_12 = 0) | ~
% 23.67/4.14 | | | | | | | | | | | | | | | | | (all_82_13 = 0) | ~ (all_82_14 = 0) | ? [v0: $i]
% 23.67/4.14 | | | | | | | | | | | | | | | | | : ? [v1: any] : ? [v2: any] : (xsd_string(v0) =
% 23.67/4.14 | | | | | | | | | | | | | | | | | v1 & xsd_integer(v0) = v2 & $i(v0) & ((v2 = 0 &
% 23.67/4.14 | | | | | | | | | | | | | | | | | v1 = 0) | ( ~ (v2 = 0) & ~ (v1 = 0)))) | ?
% 23.67/4.14 | | | | | | | | | | | | | | | | | [v0: $i] : ? [v1: any] : ? [v2: any] :
% 23.67/4.14 | | | | | | | | | | | | | | | | | (cowlNothing(v0) = v2 & cowlThing(v0) = v1 &
% 23.67/4.14 | | | | | | | | | | | | | | | | | $i(v0) & ( ~ (v1 = 0) | v2 = 0))
% 23.67/4.14 | | | | | | | | | | | | | | | | |
% 23.67/4.14 | | | | | | | | | | | | | | | | | BETA: splitting (141) gives:
% 23.67/4.14 | | | | | | | | | | | | | | | | |
% 23.67/4.14 | | | | | | | | | | | | | | | | | Case 1:
% 23.67/4.14 | | | | | | | | | | | | | | | | | |
% 23.67/4.14 | | | | | | | | | | | | | | | | | | (142) ~ (all_82_4 = 0)
% 23.67/4.14 | | | | | | | | | | | | | | | | | |
% 23.67/4.14 | | | | | | | | | | | | | | | | | | REDUCE: (84), (142) imply:
% 23.67/4.14 | | | | | | | | | | | | | | | | | | (143) $false
% 23.67/4.14 | | | | | | | | | | | | | | | | | |
% 23.67/4.14 | | | | | | | | | | | | | | | | | | CLOSE: (143) is inconsistent.
% 23.67/4.14 | | | | | | | | | | | | | | | | | |
% 23.67/4.14 | | | | | | | | | | | | | | | | | Case 2:
% 23.67/4.14 | | | | | | | | | | | | | | | | | |
% 23.67/4.14 | | | | | | | | | | | | | | | | | | (144) ~ (all_82_5 = 0) | ~ (all_82_6 = 0) | ~
% 23.67/4.14 | | | | | | | | | | | | | | | | | | (all_82_7 = 0) | ~ (all_82_8 = 0) | ~ (all_82_9
% 23.67/4.14 | | | | | | | | | | | | | | | | | | = 0) | ~ (all_82_10 = 0) | ~ (all_82_11 = 0) |
% 23.67/4.14 | | | | | | | | | | | | | | | | | | ~ (all_82_12 = 0) | ~ (all_82_13 = 0) | ~
% 23.67/4.14 | | | | | | | | | | | | | | | | | | (all_82_14 = 0) | ? [v0: $i] : ? [v1: any] : ?
% 23.67/4.14 | | | | | | | | | | | | | | | | | | [v2: any] : (xsd_string(v0) = v1 & xsd_integer(v0)
% 23.67/4.14 | | | | | | | | | | | | | | | | | | = v2 & $i(v0) & ((v2 = 0 & v1 = 0) | ( ~ (v2 =
% 23.67/4.14 | | | | | | | | | | | | | | | | | | 0) & ~ (v1 = 0)))) | ? [v0: $i] : ?
% 23.67/4.14 | | | | | | | | | | | | | | | | | | [v1: any] : ? [v2: any] : (cowlNothing(v0) = v2 &
% 23.67/4.14 | | | | | | | | | | | | | | | | | | cowlThing(v0) = v1 & $i(v0) & ( ~ (v1 = 0) | v2
% 23.67/4.14 | | | | | | | | | | | | | | | | | | = 0))
% 23.67/4.14 | | | | | | | | | | | | | | | | | |
% 23.67/4.14 | | | | | | | | | | | | | | | | | | BETA: splitting (144) gives:
% 23.67/4.14 | | | | | | | | | | | | | | | | | |
% 23.67/4.14 | | | | | | | | | | | | | | | | | | Case 1:
% 23.67/4.14 | | | | | | | | | | | | | | | | | | |
% 23.67/4.14 | | | | | | | | | | | | | | | | | | | (145) ~ (all_82_5 = 0)
% 23.67/4.14 | | | | | | | | | | | | | | | | | | |
% 23.67/4.14 | | | | | | | | | | | | | | | | | | | REDUCE: (116), (145) imply:
% 23.67/4.14 | | | | | | | | | | | | | | | | | | | (146) $false
% 23.67/4.14 | | | | | | | | | | | | | | | | | | |
% 23.67/4.14 | | | | | | | | | | | | | | | | | | | CLOSE: (146) is inconsistent.
% 23.67/4.14 | | | | | | | | | | | | | | | | | | |
% 23.67/4.14 | | | | | | | | | | | | | | | | | | Case 2:
% 23.67/4.14 | | | | | | | | | | | | | | | | | | |
% 23.67/4.14 | | | | | | | | | | | | | | | | | | | (147) ~ (all_82_6 = 0) | ~ (all_82_7 = 0) | ~
% 23.67/4.14 | | | | | | | | | | | | | | | | | | | (all_82_8 = 0) | ~ (all_82_9 = 0) | ~ (all_82_10
% 23.67/4.14 | | | | | | | | | | | | | | | | | | | = 0) | ~ (all_82_11 = 0) | ~ (all_82_12 = 0) |
% 23.67/4.14 | | | | | | | | | | | | | | | | | | | ~ (all_82_13 = 0) | ~ (all_82_14 = 0) | ? [v0:
% 23.67/4.14 | | | | | | | | | | | | | | | | | | | $i] : ? [v1: any] : ? [v2: any] :
% 23.67/4.14 | | | | | | | | | | | | | | | | | | | (xsd_string(v0) = v1 & xsd_integer(v0) = v2 &
% 23.67/4.14 | | | | | | | | | | | | | | | | | | | $i(v0) & ((v2 = 0 & v1 = 0) | ( ~ (v2 = 0) & ~
% 23.67/4.14 | | | | | | | | | | | | | | | | | | | (v1 = 0)))) | ? [v0: $i] : ? [v1: any] :
% 23.67/4.14 | | | | | | | | | | | | | | | | | | | ? [v2: any] : (cowlNothing(v0) = v2 &
% 23.67/4.14 | | | | | | | | | | | | | | | | | | | cowlThing(v0) = v1 & $i(v0) & ( ~ (v1 = 0) | v2
% 23.67/4.14 | | | | | | | | | | | | | | | | | | | = 0))
% 23.67/4.14 | | | | | | | | | | | | | | | | | | |
% 23.67/4.14 | | | | | | | | | | | | | | | | | | | BETA: splitting (147) gives:
% 23.67/4.14 | | | | | | | | | | | | | | | | | | |
% 23.67/4.14 | | | | | | | | | | | | | | | | | | | Case 1:
% 23.67/4.14 | | | | | | | | | | | | | | | | | | | |
% 23.67/4.14 | | | | | | | | | | | | | | | | | | | | (148) ~ (all_82_6 = 0)
% 23.67/4.14 | | | | | | | | | | | | | | | | | | | |
% 23.67/4.14 | | | | | | | | | | | | | | | | | | | | REDUCE: (106), (148) imply:
% 23.67/4.14 | | | | | | | | | | | | | | | | | | | | (149) $false
% 23.67/4.14 | | | | | | | | | | | | | | | | | | | |
% 23.67/4.14 | | | | | | | | | | | | | | | | | | | | CLOSE: (149) is inconsistent.
% 23.67/4.14 | | | | | | | | | | | | | | | | | | | |
% 23.67/4.14 | | | | | | | | | | | | | | | | | | | Case 2:
% 23.67/4.14 | | | | | | | | | | | | | | | | | | | |
% 23.67/4.14 | | | | | | | | | | | | | | | | | | | | (150) ~ (all_82_7 = 0) | ~ (all_82_8 = 0) | ~
% 23.67/4.14 | | | | | | | | | | | | | | | | | | | | (all_82_9 = 0) | ~ (all_82_10 = 0) | ~
% 23.67/4.14 | | | | | | | | | | | | | | | | | | | | (all_82_11 = 0) | ~ (all_82_12 = 0) | ~
% 23.67/4.14 | | | | | | | | | | | | | | | | | | | | (all_82_13 = 0) | ~ (all_82_14 = 0) | ? [v0: $i]
% 23.67/4.14 | | | | | | | | | | | | | | | | | | | | : ? [v1: any] : ? [v2: any] : (xsd_string(v0) =
% 23.67/4.14 | | | | | | | | | | | | | | | | | | | | v1 & xsd_integer(v0) = v2 & $i(v0) & ((v2 = 0 &
% 23.67/4.14 | | | | | | | | | | | | | | | | | | | | v1 = 0) | ( ~ (v2 = 0) & ~ (v1 = 0)))) | ?
% 23.67/4.14 | | | | | | | | | | | | | | | | | | | | [v0: $i] : ? [v1: any] : ? [v2: any] :
% 23.67/4.14 | | | | | | | | | | | | | | | | | | | | (cowlNothing(v0) = v2 & cowlThing(v0) = v1 &
% 23.67/4.14 | | | | | | | | | | | | | | | | | | | | $i(v0) & ( ~ (v1 = 0) | v2 = 0))
% 23.67/4.14 | | | | | | | | | | | | | | | | | | | |
% 23.67/4.14 | | | | | | | | | | | | | | | | | | | | BETA: splitting (150) gives:
% 23.67/4.14 | | | | | | | | | | | | | | | | | | | |
% 23.67/4.14 | | | | | | | | | | | | | | | | | | | | Case 1:
% 23.67/4.14 | | | | | | | | | | | | | | | | | | | | |
% 23.67/4.14 | | | | | | | | | | | | | | | | | | | | | (151) ~ (all_82_7 = 0)
% 23.67/4.14 | | | | | | | | | | | | | | | | | | | | |
% 23.67/4.14 | | | | | | | | | | | | | | | | | | | | | REDUCE: (83), (151) imply:
% 23.67/4.14 | | | | | | | | | | | | | | | | | | | | | (152) $false
% 23.67/4.14 | | | | | | | | | | | | | | | | | | | | |
% 23.67/4.14 | | | | | | | | | | | | | | | | | | | | | CLOSE: (152) is inconsistent.
% 23.67/4.14 | | | | | | | | | | | | | | | | | | | | |
% 23.67/4.14 | | | | | | | | | | | | | | | | | | | | Case 2:
% 23.67/4.14 | | | | | | | | | | | | | | | | | | | | |
% 23.67/4.14 | | | | | | | | | | | | | | | | | | | | | (153) ~ (all_82_8 = 0) | ~ (all_82_9 = 0) | ~
% 23.67/4.14 | | | | | | | | | | | | | | | | | | | | | (all_82_10 = 0) | ~ (all_82_11 = 0) | ~
% 23.67/4.14 | | | | | | | | | | | | | | | | | | | | | (all_82_12 = 0) | ~ (all_82_13 = 0) | ~
% 23.67/4.14 | | | | | | | | | | | | | | | | | | | | | (all_82_14 = 0) | ? [v0: $i] : ? [v1: any] : ?
% 23.67/4.14 | | | | | | | | | | | | | | | | | | | | | [v2: any] : (xsd_string(v0) = v1 & xsd_integer(v0)
% 23.67/4.14 | | | | | | | | | | | | | | | | | | | | | = v2 & $i(v0) & ((v2 = 0 & v1 = 0) | ( ~ (v2 =
% 23.67/4.14 | | | | | | | | | | | | | | | | | | | | | 0) & ~ (v1 = 0)))) | ? [v0: $i] : ?
% 23.67/4.14 | | | | | | | | | | | | | | | | | | | | | [v1: any] : ? [v2: any] : (cowlNothing(v0) = v2 &
% 23.67/4.14 | | | | | | | | | | | | | | | | | | | | | cowlThing(v0) = v1 & $i(v0) & ( ~ (v1 = 0) | v2
% 23.67/4.14 | | | | | | | | | | | | | | | | | | | | | = 0))
% 23.67/4.14 | | | | | | | | | | | | | | | | | | | | |
% 23.67/4.14 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (153) gives:
% 23.67/4.14 | | | | | | | | | | | | | | | | | | | | |
% 23.67/4.14 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 23.67/4.14 | | | | | | | | | | | | | | | | | | | | | |
% 23.67/4.14 | | | | | | | | | | | | | | | | | | | | | | (154) ~ (all_82_8 = 0)
% 23.67/4.14 | | | | | | | | | | | | | | | | | | | | | |
% 23.67/4.14 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (115), (154) imply:
% 23.67/4.14 | | | | | | | | | | | | | | | | | | | | | | (155) $false
% 23.67/4.14 | | | | | | | | | | | | | | | | | | | | | |
% 23.67/4.14 | | | | | | | | | | | | | | | | | | | | | | CLOSE: (155) is inconsistent.
% 23.67/4.14 | | | | | | | | | | | | | | | | | | | | | |
% 23.67/4.14 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 23.67/4.14 | | | | | | | | | | | | | | | | | | | | | |
% 23.67/4.14 | | | | | | | | | | | | | | | | | | | | | | (156) ~ (all_82_9 = 0) | ~ (all_82_10 = 0) | ~
% 23.67/4.14 | | | | | | | | | | | | | | | | | | | | | | (all_82_11 = 0) | ~ (all_82_12 = 0) | ~
% 23.67/4.14 | | | | | | | | | | | | | | | | | | | | | | (all_82_13 = 0) | ~ (all_82_14 = 0) | ? [v0: $i]
% 23.67/4.14 | | | | | | | | | | | | | | | | | | | | | | : ? [v1: any] : ? [v2: any] : (xsd_string(v0) =
% 23.67/4.14 | | | | | | | | | | | | | | | | | | | | | | v1 & xsd_integer(v0) = v2 & $i(v0) & ((v2 = 0 &
% 23.67/4.14 | | | | | | | | | | | | | | | | | | | | | | v1 = 0) | ( ~ (v2 = 0) & ~ (v1 = 0)))) | ?
% 23.67/4.14 | | | | | | | | | | | | | | | | | | | | | | [v0: $i] : ? [v1: any] : ? [v2: any] :
% 23.67/4.14 | | | | | | | | | | | | | | | | | | | | | | (cowlNothing(v0) = v2 & cowlThing(v0) = v1 &
% 23.67/4.14 | | | | | | | | | | | | | | | | | | | | | | $i(v0) & ( ~ (v1 = 0) | v2 = 0))
% 23.67/4.14 | | | | | | | | | | | | | | | | | | | | | |
% 23.67/4.14 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (156) gives:
% 23.67/4.14 | | | | | | | | | | | | | | | | | | | | | |
% 23.67/4.14 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 23.67/4.14 | | | | | | | | | | | | | | | | | | | | | | |
% 23.67/4.14 | | | | | | | | | | | | | | | | | | | | | | | (157) ~ (all_82_9 = 0)
% 23.67/4.14 | | | | | | | | | | | | | | | | | | | | | | |
% 23.67/4.14 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (117), (157) imply:
% 23.67/4.14 | | | | | | | | | | | | | | | | | | | | | | | (158) $false
% 23.67/4.14 | | | | | | | | | | | | | | | | | | | | | | |
% 23.67/4.14 | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (158) is inconsistent.
% 23.67/4.14 | | | | | | | | | | | | | | | | | | | | | | |
% 23.67/4.14 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 23.67/4.14 | | | | | | | | | | | | | | | | | | | | | | |
% 23.67/4.14 | | | | | | | | | | | | | | | | | | | | | | | (159) ~ (all_82_10 = 0) | ~ (all_82_11 = 0) | ~
% 23.67/4.14 | | | | | | | | | | | | | | | | | | | | | | | (all_82_12 = 0) | ~ (all_82_13 = 0) | ~
% 23.67/4.14 | | | | | | | | | | | | | | | | | | | | | | | (all_82_14 = 0) | ? [v0: $i] : ? [v1: any] : ?
% 23.67/4.14 | | | | | | | | | | | | | | | | | | | | | | | [v2: any] : (xsd_string(v0) = v1 & xsd_integer(v0)
% 23.67/4.14 | | | | | | | | | | | | | | | | | | | | | | | = v2 & $i(v0) & ((v2 = 0 & v1 = 0) | ( ~ (v2 =
% 23.67/4.14 | | | | | | | | | | | | | | | | | | | | | | | 0) & ~ (v1 = 0)))) | ? [v0: $i] : ?
% 23.67/4.14 | | | | | | | | | | | | | | | | | | | | | | | [v1: any] : ? [v2: any] : (cowlNothing(v0) = v2 &
% 23.67/4.14 | | | | | | | | | | | | | | | | | | | | | | | cowlThing(v0) = v1 & $i(v0) & ( ~ (v1 = 0) | v2
% 23.67/4.14 | | | | | | | | | | | | | | | | | | | | | | | = 0))
% 23.67/4.14 | | | | | | | | | | | | | | | | | | | | | | |
% 23.67/4.14 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (159) gives:
% 23.67/4.14 | | | | | | | | | | | | | | | | | | | | | | |
% 23.67/4.14 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 23.67/4.14 | | | | | | | | | | | | | | | | | | | | | | | |
% 23.67/4.14 | | | | | | | | | | | | | | | | | | | | | | | | (160) ~ (all_82_10 = 0)
% 23.67/4.14 | | | | | | | | | | | | | | | | | | | | | | | |
% 23.67/4.14 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (108), (160) imply:
% 23.67/4.14 | | | | | | | | | | | | | | | | | | | | | | | | (161) $false
% 23.67/4.14 | | | | | | | | | | | | | | | | | | | | | | | |
% 23.67/4.14 | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (161) is inconsistent.
% 23.67/4.14 | | | | | | | | | | | | | | | | | | | | | | | |
% 23.67/4.14 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 23.67/4.14 | | | | | | | | | | | | | | | | | | | | | | | |
% 23.67/4.14 | | | | | | | | | | | | | | | | | | | | | | | | (162) ~ (all_82_11 = 0) | ~ (all_82_12 = 0) | ~
% 23.67/4.14 | | | | | | | | | | | | | | | | | | | | | | | | (all_82_13 = 0) | ~ (all_82_14 = 0) | ? [v0: $i]
% 23.67/4.14 | | | | | | | | | | | | | | | | | | | | | | | | : ? [v1: any] : ? [v2: any] : (xsd_string(v0) =
% 23.67/4.14 | | | | | | | | | | | | | | | | | | | | | | | | v1 & xsd_integer(v0) = v2 & $i(v0) & ((v2 = 0 &
% 23.67/4.14 | | | | | | | | | | | | | | | | | | | | | | | | v1 = 0) | ( ~ (v2 = 0) & ~ (v1 = 0)))) | ?
% 23.67/4.14 | | | | | | | | | | | | | | | | | | | | | | | | [v0: $i] : ? [v1: any] : ? [v2: any] :
% 23.67/4.14 | | | | | | | | | | | | | | | | | | | | | | | | (cowlNothing(v0) = v2 & cowlThing(v0) = v1 &
% 23.67/4.14 | | | | | | | | | | | | | | | | | | | | | | | | $i(v0) & ( ~ (v1 = 0) | v2 = 0))
% 23.67/4.14 | | | | | | | | | | | | | | | | | | | | | | | |
% 23.67/4.14 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (162) gives:
% 23.67/4.14 | | | | | | | | | | | | | | | | | | | | | | | |
% 23.67/4.14 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 23.67/4.14 | | | | | | | | | | | | | | | | | | | | | | | | |
% 23.67/4.14 | | | | | | | | | | | | | | | | | | | | | | | | | (163) ~ (all_82_11 = 0)
% 23.67/4.14 | | | | | | | | | | | | | | | | | | | | | | | | |
% 23.67/4.14 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (109), (163) imply:
% 23.67/4.14 | | | | | | | | | | | | | | | | | | | | | | | | | (164) $false
% 23.67/4.14 | | | | | | | | | | | | | | | | | | | | | | | | |
% 23.67/4.14 | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (164) is inconsistent.
% 23.67/4.14 | | | | | | | | | | | | | | | | | | | | | | | | |
% 23.67/4.14 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 23.67/4.14 | | | | | | | | | | | | | | | | | | | | | | | | |
% 23.67/4.15 | | | | | | | | | | | | | | | | | | | | | | | | | (165) ~ (all_82_12 = 0) | ~ (all_82_13 = 0) | ~
% 23.67/4.15 | | | | | | | | | | | | | | | | | | | | | | | | | (all_82_14 = 0) | ? [v0: $i] : ? [v1: any] : ?
% 23.67/4.15 | | | | | | | | | | | | | | | | | | | | | | | | | [v2: any] : (xsd_string(v0) = v1 & xsd_integer(v0)
% 23.67/4.15 | | | | | | | | | | | | | | | | | | | | | | | | | = v2 & $i(v0) & ((v2 = 0 & v1 = 0) | ( ~ (v2 =
% 23.67/4.15 | | | | | | | | | | | | | | | | | | | | | | | | | 0) & ~ (v1 = 0)))) | ? [v0: $i] : ?
% 23.67/4.15 | | | | | | | | | | | | | | | | | | | | | | | | | [v1: any] : ? [v2: any] : (cowlNothing(v0) = v2 &
% 23.67/4.15 | | | | | | | | | | | | | | | | | | | | | | | | | cowlThing(v0) = v1 & $i(v0) & ( ~ (v1 = 0) | v2
% 23.67/4.15 | | | | | | | | | | | | | | | | | | | | | | | | | = 0))
% 23.67/4.15 | | | | | | | | | | | | | | | | | | | | | | | | |
% 23.67/4.15 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (165) gives:
% 23.67/4.15 | | | | | | | | | | | | | | | | | | | | | | | | |
% 23.67/4.15 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 23.67/4.15 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 23.67/4.15 | | | | | | | | | | | | | | | | | | | | | | | | | | (166) ~ (all_82_12 = 0)
% 23.67/4.15 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 23.67/4.15 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (110), (166) imply:
% 23.67/4.15 | | | | | | | | | | | | | | | | | | | | | | | | | | (167) $false
% 23.67/4.15 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 23.67/4.15 | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (167) is inconsistent.
% 23.67/4.15 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 23.67/4.15 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 23.67/4.15 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 23.67/4.15 | | | | | | | | | | | | | | | | | | | | | | | | | | (168) ~ (all_82_13 = 0) | ~ (all_82_14 = 0) | ? [v0:
% 23.67/4.15 | | | | | | | | | | | | | | | | | | | | | | | | | | $i] : ? [v1: any] : ? [v2: any] :
% 23.67/4.15 | | | | | | | | | | | | | | | | | | | | | | | | | | (xsd_string(v0) = v1 & xsd_integer(v0) = v2 &
% 23.67/4.15 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(v0) & ((v2 = 0 & v1 = 0) | ( ~ (v2 = 0) & ~
% 23.67/4.15 | | | | | | | | | | | | | | | | | | | | | | | | | | (v1 = 0)))) | ? [v0: $i] : ? [v1: any] :
% 23.67/4.15 | | | | | | | | | | | | | | | | | | | | | | | | | | ? [v2: any] : (cowlNothing(v0) = v2 &
% 23.67/4.15 | | | | | | | | | | | | | | | | | | | | | | | | | | cowlThing(v0) = v1 & $i(v0) & ( ~ (v1 = 0) | v2
% 23.67/4.15 | | | | | | | | | | | | | | | | | | | | | | | | | | = 0))
% 23.67/4.15 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 23.67/4.15 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (168) gives:
% 23.67/4.15 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 23.67/4.15 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 23.67/4.15 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 23.67/4.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | (169) ~ (all_82_13 = 0)
% 23.67/4.15 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 23.67/4.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (107), (169) imply:
% 23.67/4.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | (170) $false
% 23.67/4.15 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 23.67/4.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (170) is inconsistent.
% 23.67/4.15 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 23.67/4.15 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 23.67/4.15 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 23.67/4.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | (171) ~ (all_82_14 = 0) | ? [v0: $i] : ? [v1: any] :
% 23.67/4.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | ? [v2: any] : (xsd_string(v0) = v1 &
% 23.67/4.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | xsd_integer(v0) = v2 & $i(v0) & ((v2 = 0 & v1 =
% 23.67/4.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | 0) | ( ~ (v2 = 0) & ~ (v1 = 0)))) | ? [v0:
% 23.67/4.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i] : ? [v1: any] : ? [v2: any] :
% 23.67/4.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | (cowlNothing(v0) = v2 & cowlThing(v0) = v1 &
% 23.67/4.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(v0) & ( ~ (v1 = 0) | v2 = 0))
% 23.67/4.15 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 23.67/4.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (171) gives:
% 23.67/4.15 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 23.67/4.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 23.67/4.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 23.67/4.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (172) ~ (all_82_14 = 0)
% 23.67/4.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 23.67/4.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (129), (172) imply:
% 23.67/4.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (173) $false
% 23.67/4.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 23.67/4.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (173) is inconsistent.
% 23.67/4.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 23.67/4.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 23.67/4.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 23.67/4.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (174) ? [v0: $i] : ? [v1: any] : ? [v2: any] :
% 23.67/4.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (xsd_string(v0) = v1 & xsd_integer(v0) = v2 &
% 23.67/4.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(v0) & ((v2 = 0 & v1 = 0) | ( ~ (v2 = 0) & ~
% 23.67/4.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (v1 = 0)))) | ? [v0: $i] : ? [v1: any] :
% 23.67/4.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ? [v2: any] : (cowlNothing(v0) = v2 &
% 23.67/4.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | cowlThing(v0) = v1 & $i(v0) & ( ~ (v1 = 0) | v2
% 23.67/4.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | = 0))
% 23.67/4.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 23.67/4.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (174) gives:
% 23.67/4.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 23.67/4.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 23.67/4.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 23.67/4.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (175) ? [v0: $i] : ? [v1: any] : ? [v2: any] :
% 23.67/4.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (xsd_string(v0) = v1 & xsd_integer(v0) = v2 &
% 23.67/4.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(v0) & ((v2 = 0 & v1 = 0) | ( ~ (v2 = 0) & ~
% 23.67/4.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (v1 = 0))))
% 23.67/4.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 23.67/4.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (175) with fresh symbols all_529_0,
% 23.67/4.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_529_1, all_529_2 gives:
% 23.67/4.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (176) xsd_string(all_529_2) = all_529_1 &
% 23.67/4.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | xsd_integer(all_529_2) = all_529_0 & $i(all_529_2)
% 23.67/4.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ((all_529_0 = 0 & all_529_1 = 0) | ( ~
% 23.67/4.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_529_0 = 0) & ~ (all_529_1 = 0)))
% 23.67/4.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 23.67/4.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (176) implies:
% 23.67/4.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (177) $i(all_529_2)
% 23.67/4.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (178) xsd_integer(all_529_2) = all_529_0
% 23.67/4.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (179) xsd_string(all_529_2) = all_529_1
% 23.67/4.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (180) (all_529_0 = 0 & all_529_1 = 0) | ( ~ (all_529_0 =
% 23.67/4.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 0) & ~ (all_529_1 = 0))
% 23.67/4.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 23.67/4.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_529_2, all_529_1,
% 23.67/4.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (177), (179) gives:
% 23.67/4.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (181) all_529_1 = 0 | xsd_integer(all_529_2) = 0
% 23.67/4.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 23.67/4.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (180) gives:
% 23.67/4.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 23.67/4.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 23.67/4.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 23.67/4.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (182) all_529_0 = 0 & all_529_1 = 0
% 23.67/4.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 23.67/4.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (182) implies:
% 23.67/4.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (183) all_529_1 = 0
% 23.67/4.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (184) all_529_0 = 0
% 23.67/4.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 23.67/4.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (179), (183) imply:
% 23.67/4.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (185) xsd_string(all_529_2) = 0
% 23.67/4.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 23.67/4.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (178), (184) imply:
% 23.67/4.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (186) xsd_integer(all_529_2) = 0
% 23.67/4.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 23.67/4.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with all_529_2, simplifying with
% 23.67/4.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (177), (185) gives:
% 23.67/4.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (187) ? [v0: int] : ( ~ (v0 = 0) &
% 23.67/4.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | xsd_integer(all_529_2) = v0)
% 23.67/4.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 23.67/4.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (187) with fresh symbol all_543_0
% 23.67/4.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 23.67/4.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (188) ~ (all_543_0 = 0) & xsd_integer(all_529_2) =
% 23.67/4.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_543_0
% 23.67/4.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 23.67/4.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (188) implies:
% 23.67/4.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (189) ~ (all_543_0 = 0)
% 23.67/4.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (190) xsd_integer(all_529_2) = all_543_0
% 23.67/4.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 23.67/4.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (44) with 0, all_543_0, all_529_2,
% 23.67/4.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (186), (190) gives:
% 23.67/4.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (191) all_543_0 = 0
% 23.67/4.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 23.67/4.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (189), (191) imply:
% 23.67/4.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (192) $false
% 23.67/4.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 23.67/4.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (192) is inconsistent.
% 23.67/4.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 23.67/4.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 23.67/4.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 23.67/4.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (193) ~ (all_529_0 = 0) & ~ (all_529_1 = 0)
% 23.67/4.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 23.67/4.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (193) implies:
% 23.67/4.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (194) ~ (all_529_1 = 0)
% 23.67/4.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (195) ~ (all_529_0 = 0)
% 23.67/4.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 23.67/4.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (181) gives:
% 23.67/4.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 23.67/4.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 23.67/4.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 23.67/4.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (196) xsd_integer(all_529_2) = 0
% 23.67/4.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 23.67/4.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (44) with all_529_0, 0, all_529_2,
% 23.67/4.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (178), (196) gives:
% 23.67/4.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (197) all_529_0 = 0
% 23.67/4.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 23.67/4.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (195), (197) imply:
% 23.67/4.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (198) $false
% 23.67/4.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 23.67/4.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (198) is inconsistent.
% 23.67/4.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 23.67/4.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 23.67/4.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 23.67/4.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (199) all_529_1 = 0
% 23.67/4.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 23.67/4.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (194), (199) imply:
% 23.67/4.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (200) $false
% 23.67/4.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 23.67/4.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (200) is inconsistent.
% 23.67/4.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 23.67/4.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 23.67/4.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 23.67/4.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 23.67/4.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 23.67/4.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 23.67/4.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 23.67/4.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (201) ? [v0: $i] : ? [v1: any] : ? [v2: any] :
% 23.67/4.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (cowlNothing(v0) = v2 & cowlThing(v0) = v1 &
% 23.67/4.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(v0) & ( ~ (v1 = 0) | v2 = 0))
% 23.67/4.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 23.67/4.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (201) with fresh symbols all_529_0,
% 23.67/4.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_529_1, all_529_2 gives:
% 23.67/4.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (202) cowlNothing(all_529_2) = all_529_0 &
% 23.67/4.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | cowlThing(all_529_2) = all_529_1 & $i(all_529_2) &
% 23.67/4.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_529_1 = 0) | all_529_0 = 0)
% 23.67/4.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 23.67/4.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (202) implies:
% 23.67/4.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (203) $i(all_529_2)
% 23.67/4.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (204) cowlThing(all_529_2) = all_529_1
% 23.67/4.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (205) cowlNothing(all_529_2) = all_529_0
% 23.67/4.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (206) ~ (all_529_1 = 0) | all_529_0 = 0
% 23.67/4.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 23.67/4.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with all_529_2, all_529_1,
% 23.67/4.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (203), (204) gives:
% 23.67/4.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (207) all_529_1 = 0
% 23.67/4.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 23.67/4.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (206) gives:
% 23.67/4.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 23.67/4.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 23.67/4.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 23.67/4.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (208) ~ (all_529_1 = 0)
% 23.67/4.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 23.67/4.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (207), (208) imply:
% 23.67/4.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (209) $false
% 23.67/4.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 23.67/4.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (209) is inconsistent.
% 23.67/4.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 23.67/4.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 23.67/4.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 23.67/4.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (210) all_529_0 = 0
% 23.67/4.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 23.67/4.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (205), (210) imply:
% 23.67/4.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (211) cowlNothing(all_529_2) = 0
% 23.67/4.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 23.67/4.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (1) with all_529_2, simplifying with
% 23.67/4.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (203), (211) gives:
% 23.67/4.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (212) $false
% 23.67/4.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 23.67/4.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (212) is inconsistent.
% 23.67/4.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 23.67/4.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 23.67/4.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 23.67/4.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 23.67/4.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 23.67/4.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 23.67/4.16 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 23.67/4.16 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 23.67/4.16 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 23.67/4.16 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 23.67/4.16 | | | | | | | | | | | | | | | | | | | | | | | | |
% 23.67/4.16 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 23.67/4.16 | | | | | | | | | | | | | | | | | | | | | | | |
% 23.67/4.16 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 23.67/4.16 | | | | | | | | | | | | | | | | | | | | | | |
% 23.67/4.16 | | | | | | | | | | | | | | | | | | | | | | End of split
% 23.67/4.16 | | | | | | | | | | | | | | | | | | | | | |
% 23.67/4.16 | | | | | | | | | | | | | | | | | | | | | End of split
% 23.67/4.16 | | | | | | | | | | | | | | | | | | | | |
% 23.67/4.16 | | | | | | | | | | | | | | | | | | | | End of split
% 23.67/4.16 | | | | | | | | | | | | | | | | | | | |
% 23.67/4.16 | | | | | | | | | | | | | | | | | | | End of split
% 23.67/4.16 | | | | | | | | | | | | | | | | | | |
% 23.67/4.16 | | | | | | | | | | | | | | | | | | End of split
% 23.67/4.16 | | | | | | | | | | | | | | | | | |
% 23.67/4.16 | | | | | | | | | | | | | | | | | End of split
% 23.67/4.16 | | | | | | | | | | | | | | | | |
% 23.67/4.16 | | | | | | | | | | | | | | | | End of split
% 23.67/4.16 | | | | | | | | | | | | | | | |
% 23.67/4.16 | | | | | | | | | | | | | | | End of split
% 23.67/4.16 | | | | | | | | | | | | | | |
% 23.67/4.16 | | | | | | | | | | | | | | End of split
% 23.67/4.16 | | | | | | | | | | | | | |
% 23.67/4.16 | | | | | | | | | | | | | End of split
% 23.67/4.16 | | | | | | | | | | | | |
% 23.67/4.16 | | | | | | | | | | | | End of split
% 23.67/4.16 | | | | | | | | | | | |
% 23.67/4.16 | | | | | | | | | | | Case 2:
% 23.67/4.16 | | | | | | | | | | | |
% 23.67/4.16 | | | | | | | | | | | | (213) ! [v0: $i] : ! [v1: int] : (v1 = 0 | ~ (cC6(v0)
% 23.67/4.16 | | | | | | | | | | | | = v1) | ~ $i(v0) | ? [v2: int] : ( ~ (v2 =
% 23.67/4.16 | | | | | | | | | | | | 0) & rR1(iV8467, v0) = v2))
% 23.67/4.16 | | | | | | | | | | | |
% 23.67/4.16 | | | | | | | | | | | | GROUND_INST: instantiating (213) with iV8469, all_74_0,
% 23.67/4.16 | | | | | | | | | | | | simplifying with (26), (65) gives:
% 23.67/4.16 | | | | | | | | | | | | (214) all_74_0 = 0 | ? [v0: int] : ( ~ (v0 = 0) &
% 23.67/4.16 | | | | | | | | | | | | rR1(iV8467, iV8469) = v0)
% 23.67/4.16 | | | | | | | | | | | |
% 23.67/4.16 | | | | | | | | | | | | BETA: splitting (214) gives:
% 23.67/4.16 | | | | | | | | | | | |
% 23.67/4.16 | | | | | | | | | | | | Case 1:
% 23.67/4.16 | | | | | | | | | | | | |
% 23.67/4.16 | | | | | | | | | | | | | (215) all_74_0 = 0
% 23.67/4.16 | | | | | | | | | | | | |
% 23.67/4.16 | | | | | | | | | | | | | REDUCE: (64), (215) imply:
% 23.67/4.16 | | | | | | | | | | | | | (216) $false
% 23.67/4.16 | | | | | | | | | | | | |
% 23.67/4.16 | | | | | | | | | | | | | CLOSE: (216) is inconsistent.
% 23.67/4.16 | | | | | | | | | | | | |
% 23.67/4.16 | | | | | | | | | | | | Case 2:
% 23.67/4.16 | | | | | | | | | | | | |
% 23.67/4.16 | | | | | | | | | | | | | (217) ? [v0: int] : ( ~ (v0 = 0) & rR1(iV8467, iV8469)
% 23.67/4.16 | | | | | | | | | | | | | = v0)
% 23.67/4.16 | | | | | | | | | | | | |
% 23.67/4.16 | | | | | | | | | | | | | DELTA: instantiating (217) with fresh symbol all_264_0
% 23.67/4.16 | | | | | | | | | | | | | gives:
% 23.67/4.16 | | | | | | | | | | | | | (218) ~ (all_264_0 = 0) & rR1(iV8467, iV8469) =
% 23.67/4.16 | | | | | | | | | | | | | all_264_0
% 23.67/4.16 | | | | | | | | | | | | |
% 23.67/4.16 | | | | | | | | | | | | | ALPHA: (218) implies:
% 23.67/4.16 | | | | | | | | | | | | | (219) ~ (all_264_0 = 0)
% 23.67/4.16 | | | | | | | | | | | | | (220) rR1(iV8467, iV8469) = all_264_0
% 23.67/4.16 | | | | | | | | | | | | |
% 23.67/4.16 | | | | | | | | | | | | | GROUND_INST: instantiating (50) with 0, all_264_0, iV8469,
% 23.67/4.16 | | | | | | | | | | | | | iV8467, simplifying with (21), (220) gives:
% 23.67/4.16 | | | | | | | | | | | | | (221) all_264_0 = 0
% 23.67/4.16 | | | | | | | | | | | | |
% 23.67/4.16 | | | | | | | | | | | | | REDUCE: (219), (221) imply:
% 23.67/4.16 | | | | | | | | | | | | | (222) $false
% 23.67/4.16 | | | | | | | | | | | | |
% 23.67/4.16 | | | | | | | | | | | | | CLOSE: (222) is inconsistent.
% 23.67/4.16 | | | | | | | | | | | | |
% 23.67/4.16 | | | | | | | | | | | | End of split
% 23.67/4.16 | | | | | | | | | | | |
% 23.67/4.16 | | | | | | | | | | | End of split
% 23.67/4.16 | | | | | | | | | | |
% 23.67/4.16 | | | | | | | | | | Case 2:
% 23.67/4.16 | | | | | | | | | | |
% 23.67/4.16 | | | | | | | | | | | (223) ! [v0: $i] : ! [v1: int] : (v1 = 0 | ~
% 23.67/4.16 | | | | | | | | | | | (cC32(v0) = v1) | ~ $i(v0) | ? [v2: int] : ( ~
% 23.67/4.16 | | | | | | | | | | | (v2 = 0) & rR1(iV8467, v0) = v2))
% 23.67/4.16 | | | | | | | | | | |
% 23.67/4.16 | | | | | | | | | | | GROUND_INST: instantiating (223) with iV8474, all_66_0,
% 23.67/4.16 | | | | | | | | | | | simplifying with (36), (59) gives:
% 23.67/4.16 | | | | | | | | | | | (224) all_66_0 = 0 | ? [v0: int] : ( ~ (v0 = 0) &
% 23.67/4.16 | | | | | | | | | | | rR1(iV8467, iV8474) = v0)
% 23.67/4.16 | | | | | | | | | | |
% 23.67/4.16 | | | | | | | | | | | BETA: splitting (224) gives:
% 23.67/4.16 | | | | | | | | | | |
% 23.67/4.16 | | | | | | | | | | | Case 1:
% 23.67/4.16 | | | | | | | | | | | |
% 23.67/4.16 | | | | | | | | | | | | (225) all_66_0 = 0
% 23.67/4.16 | | | | | | | | | | | |
% 23.67/4.16 | | | | | | | | | | | | REDUCE: (58), (225) imply:
% 23.67/4.16 | | | | | | | | | | | | (226) $false
% 23.67/4.16 | | | | | | | | | | | |
% 23.67/4.16 | | | | | | | | | | | | CLOSE: (226) is inconsistent.
% 23.67/4.16 | | | | | | | | | | | |
% 23.67/4.16 | | | | | | | | | | | Case 2:
% 23.67/4.16 | | | | | | | | | | | |
% 23.67/4.16 | | | | | | | | | | | | (227) ? [v0: int] : ( ~ (v0 = 0) & rR1(iV8467, iV8474)
% 23.67/4.16 | | | | | | | | | | | | = v0)
% 23.67/4.16 | | | | | | | | | | | |
% 23.67/4.16 | | | | | | | | | | | | DELTA: instantiating (227) with fresh symbol all_247_0
% 23.67/4.16 | | | | | | | | | | | | gives:
% 23.67/4.16 | | | | | | | | | | | | (228) ~ (all_247_0 = 0) & rR1(iV8467, iV8474) =
% 23.67/4.16 | | | | | | | | | | | | all_247_0
% 23.67/4.16 | | | | | | | | | | | |
% 23.67/4.16 | | | | | | | | | | | | ALPHA: (228) implies:
% 23.67/4.16 | | | | | | | | | | | | (229) ~ (all_247_0 = 0)
% 23.67/4.16 | | | | | | | | | | | | (230) rR1(iV8467, iV8474) = all_247_0
% 23.67/4.16 | | | | | | | | | | | |
% 23.67/4.16 | | | | | | | | | | | | GROUND_INST: instantiating (50) with 0, all_247_0, iV8474,
% 23.67/4.16 | | | | | | | | | | | | iV8467, simplifying with (23), (230) gives:
% 23.67/4.16 | | | | | | | | | | | | (231) all_247_0 = 0
% 23.67/4.16 | | | | | | | | | | | |
% 23.67/4.16 | | | | | | | | | | | | REDUCE: (229), (231) imply:
% 23.67/4.16 | | | | | | | | | | | | (232) $false
% 23.67/4.16 | | | | | | | | | | | |
% 23.67/4.16 | | | | | | | | | | | | CLOSE: (232) is inconsistent.
% 23.67/4.16 | | | | | | | | | | | |
% 23.67/4.16 | | | | | | | | | | | End of split
% 23.67/4.16 | | | | | | | | | | |
% 23.67/4.16 | | | | | | | | | | End of split
% 23.67/4.16 | | | | | | | | | |
% 23.67/4.16 | | | | | | | | | Case 2:
% 23.67/4.16 | | | | | | | | | |
% 23.67/4.16 | | | | | | | | | | (233) ! [v0: $i] : ! [v1: int] : (v1 = 0 | ~ (cC2(v0)
% 23.67/4.16 | | | | | | | | | | = v1) | ~ $i(v0) | ? [v2: int] : ( ~ (v2 = 0)
% 23.67/4.16 | | | | | | | | | | & rR1(iV8467, v0) = v2))
% 23.67/4.16 | | | | | | | | | |
% 23.67/4.16 | | | | | | | | | | REF_CLOSE: (22), (41), (50), (61), (62), (233) are
% 23.67/4.16 | | | | | | | | | | inconsistent by sub-proof #3.
% 23.67/4.16 | | | | | | | | | |
% 23.67/4.16 | | | | | | | | | End of split
% 23.67/4.16 | | | | | | | | |
% 23.67/4.16 | | | | | | | | Case 2:
% 23.67/4.16 | | | | | | | | |
% 23.67/4.16 | | | | | | | | | (234) ? [v0: any] : ? [v1: any] : (cC58(iV8472) = v0 &
% 23.67/4.16 | | | | | | | | | cC2(iV8472) = v1 & ( ~ (v0 = 0) | v1 = 0))
% 23.67/4.16 | | | | | | | | |
% 23.67/4.16 | | | | | | | | | DELTA: instantiating (234) with fresh symbols all_230_0,
% 23.67/4.16 | | | | | | | | | all_230_1 gives:
% 23.67/4.16 | | | | | | | | | (235) cC58(iV8472) = all_230_1 & cC2(iV8472) = all_230_0 &
% 23.67/4.16 | | | | | | | | | ( ~ (all_230_1 = 0) | all_230_0 = 0)
% 23.67/4.16 | | | | | | | | |
% 23.67/4.16 | | | | | | | | | REF_CLOSE: (47), (48), (61), (62), (113), (235) are
% 23.67/4.16 | | | | | | | | | inconsistent by sub-proof #2.
% 23.67/4.16 | | | | | | | | |
% 23.67/4.16 | | | | | | | | End of split
% 23.67/4.16 | | | | | | | |
% 23.67/4.16 | | | | | | | Case 2:
% 23.67/4.16 | | | | | | | |
% 23.67/4.17 | | | | | | | | (236) ! [v0: $i] : ( ~ (cC2(v0) = 0) | ~ $i(v0) | ? [v1:
% 23.67/4.17 | | | | | | | | int] : ( ~ (v1 = 0) & rR1(iV8472, v0) = v1))
% 23.67/4.17 | | | | | | | |
% 23.67/4.17 | | | | | | | | GROUND_INST: instantiating (236) with iV8476, simplifying with
% 23.67/4.17 | | | | | | | | (37), (38) gives:
% 23.67/4.17 | | | | | | | | (237) ? [v0: int] : ( ~ (v0 = 0) & rR1(iV8472, iV8476) = v0)
% 23.67/4.17 | | | | | | | |
% 23.67/4.17 | | | | | | | | REF_CLOSE: (34), (50), (237) are inconsistent by sub-proof #1.
% 23.67/4.17 | | | | | | | |
% 23.67/4.17 | | | | | | | End of split
% 23.67/4.17 | | | | | | |
% 23.67/4.17 | | | | | | Case 2:
% 23.67/4.17 | | | | | | |
% 23.67/4.17 | | | | | | | (238) ! [v0: $i] : ! [v1: int] : (v1 = 0 | ~ (cC2(v0) = v1)
% 23.67/4.17 | | | | | | | | ~ $i(v0) | ? [v2: int] : ( ~ (v2 = 0) & rR1(iV8467,
% 23.67/4.17 | | | | | | | v0) = v2))
% 23.67/4.17 | | | | | | |
% 23.67/4.17 | | | | | | | REF_CLOSE: (22), (41), (50), (61), (62), (238) are inconsistent by
% 23.67/4.17 | | | | | | | sub-proof #3.
% 23.67/4.17 | | | | | | |
% 23.67/4.17 | | | | | | End of split
% 23.67/4.17 | | | | | |
% 23.67/4.17 | | | | | Case 2:
% 23.67/4.17 | | | | | |
% 23.67/4.17 | | | | | | (239) ! [v0: $i] : ( ~ (cC80(v0) = 0) | ~ $i(v0) | ? [v1: int]
% 23.67/4.17 | | | | | | : ( ~ (v1 = 0) & rR1(iV8467, v0) = v1))
% 23.67/4.17 | | | | | |
% 23.67/4.17 | | | | | | GROUND_INST: instantiating (239) with iV8471, simplifying with (40),
% 23.67/4.17 | | | | | | (103) gives:
% 23.67/4.17 | | | | | | (240) ? [v0: int] : ( ~ (v0 = 0) & rR1(iV8467, iV8471) = v0)
% 23.67/4.17 | | | | | |
% 23.67/4.17 | | | | | | DELTA: instantiating (240) with fresh symbol all_226_0 gives:
% 23.67/4.17 | | | | | | (241) ~ (all_226_0 = 0) & rR1(iV8467, iV8471) = all_226_0
% 23.67/4.17 | | | | | |
% 23.67/4.17 | | | | | | ALPHA: (241) implies:
% 23.67/4.17 | | | | | | (242) ~ (all_226_0 = 0)
% 23.67/4.17 | | | | | | (243) rR1(iV8467, iV8471) = all_226_0
% 23.67/4.17 | | | | | |
% 23.67/4.17 | | | | | | GROUND_INST: instantiating (50) with 0, all_226_0, iV8471, iV8467,
% 23.67/4.17 | | | | | | simplifying with (20), (243) gives:
% 23.67/4.17 | | | | | | (244) all_226_0 = 0
% 23.67/4.17 | | | | | |
% 23.67/4.17 | | | | | | REDUCE: (242), (244) imply:
% 23.67/4.17 | | | | | | (245) $false
% 23.67/4.17 | | | | | |
% 23.67/4.17 | | | | | | CLOSE: (245) is inconsistent.
% 23.67/4.17 | | | | | |
% 23.67/4.17 | | | | | End of split
% 23.67/4.17 | | | | |
% 23.67/4.17 | | | | Case 2:
% 23.67/4.17 | | | | |
% 23.67/4.17 | | | | | (246) ! [v0: $i] : ( ~ (cTOP(v0) = 0) | ~ $i(v0) | ? [v1: int] :
% 23.67/4.17 | | | | | ( ~ (v1 = 0) & rR1(iV8467, v0) = v1))
% 23.67/4.17 | | | | |
% 23.67/4.17 | | | | | GROUND_INST: instantiating (246) with iV8470, simplifying with (27),
% 23.67/4.17 | | | | | (28) gives:
% 23.67/4.17 | | | | | (247) ? [v0: int] : ( ~ (v0 = 0) & rR1(iV8467, iV8470) = v0)
% 23.67/4.17 | | | | |
% 23.67/4.17 | | | | | DELTA: instantiating (247) with fresh symbol all_220_0 gives:
% 23.67/4.17 | | | | | (248) ~ (all_220_0 = 0) & rR1(iV8467, iV8470) = all_220_0
% 23.67/4.17 | | | | |
% 23.67/4.17 | | | | | ALPHA: (248) implies:
% 23.67/4.17 | | | | | (249) ~ (all_220_0 = 0)
% 23.67/4.17 | | | | | (250) rR1(iV8467, iV8470) = all_220_0
% 23.67/4.17 | | | | |
% 23.67/4.17 | | | | | GROUND_INST: instantiating (50) with 0, all_220_0, iV8470, iV8467,
% 23.67/4.17 | | | | | simplifying with (24), (250) gives:
% 23.67/4.17 | | | | | (251) all_220_0 = 0
% 23.67/4.17 | | | | |
% 23.67/4.17 | | | | | REDUCE: (249), (251) imply:
% 23.67/4.17 | | | | | (252) $false
% 23.67/4.17 | | | | |
% 23.67/4.17 | | | | | CLOSE: (252) is inconsistent.
% 23.67/4.17 | | | | |
% 23.67/4.17 | | | | End of split
% 23.67/4.17 | | | |
% 23.67/4.17 | | | Case 2:
% 23.67/4.17 | | | |
% 23.67/4.17 | | | | (253) ! [v0: $i] : ! [v1: int] : (v1 = 0 | ~ (cC2(v0) = v1) | ~
% 23.67/4.17 | | | | $i(v0) | ? [v2: int] : ( ~ (v2 = 0) & rR1(iV8467, v0) = v2))
% 23.67/4.17 | | | |
% 23.67/4.17 | | | | REF_CLOSE: (22), (41), (50), (61), (62), (253) are inconsistent by
% 23.67/4.17 | | | | sub-proof #3.
% 23.67/4.17 | | | |
% 23.67/4.17 | | | End of split
% 23.67/4.17 | | |
% 23.67/4.17 | | Case 2:
% 23.67/4.17 | | |
% 23.67/4.17 | | | (254) ! [v0: $i] : ( ~ (cC60(v0) = 0) | ~ $i(v0) | ? [v1: int] : ( ~
% 23.67/4.17 | | | (v1 = 0) & rR1(iV8467, v0) = v1))
% 23.67/4.17 | | |
% 23.67/4.17 | | | BETA: splitting (93) gives:
% 23.67/4.17 | | |
% 23.67/4.17 | | | Case 1:
% 23.67/4.17 | | | |
% 23.67/4.17 | | | | (255) all_82_0 = 0
% 23.67/4.17 | | | |
% 23.67/4.17 | | | | REDUCE: (77), (255) imply:
% 23.67/4.17 | | | | (256) cC58(iV8472) = 0
% 23.67/4.17 | | | |
% 23.67/4.17 | | | | BETA: splitting (94) gives:
% 23.67/4.17 | | | |
% 23.67/4.17 | | | | Case 1:
% 23.67/4.17 | | | | |
% 23.67/4.17 | | | | | (257) all_82_2 = 0
% 23.67/4.17 | | | | |
% 23.67/4.17 | | | | | REDUCE: (78), (257) imply:
% 23.67/4.17 | | | | | (258) cC60(iV8472) = 0
% 23.67/4.17 | | | | |
% 23.67/4.17 | | | | | GROUND_INST: instantiating (254) with iV8472, simplifying with (41),
% 23.67/4.17 | | | | | (258) gives:
% 23.67/4.17 | | | | | (259) ? [v0: int] : ( ~ (v0 = 0) & rR1(iV8467, iV8472) = v0)
% 23.67/4.17 | | | | |
% 23.67/4.17 | | | | | DELTA: instantiating (259) with fresh symbol all_253_0 gives:
% 23.67/4.17 | | | | | (260) ~ (all_253_0 = 0) & rR1(iV8467, iV8472) = all_253_0
% 23.67/4.17 | | | | |
% 23.67/4.17 | | | | | ALPHA: (260) implies:
% 23.67/4.17 | | | | | (261) ~ (all_253_0 = 0)
% 23.67/4.17 | | | | | (262) rR1(iV8467, iV8472) = all_253_0
% 23.67/4.17 | | | | |
% 23.67/4.17 | | | | | GROUND_INST: instantiating (50) with 0, all_253_0, iV8472, iV8467,
% 23.67/4.17 | | | | | simplifying with (22), (262) gives:
% 23.67/4.17 | | | | | (263) all_253_0 = 0
% 23.67/4.17 | | | | |
% 23.67/4.17 | | | | | REDUCE: (261), (263) imply:
% 23.67/4.17 | | | | | (264) $false
% 23.67/4.17 | | | | |
% 23.67/4.17 | | | | | CLOSE: (264) is inconsistent.
% 23.67/4.17 | | | | |
% 23.67/4.17 | | | | Case 2:
% 23.67/4.17 | | | | |
% 23.67/4.17 | | | | | (265) ? [v0: any] : ? [v1: any] : (cC58(iV8472) = v0 &
% 23.67/4.17 | | | | | cC2(iV8472) = v1 & ( ~ (v0 = 0) | v1 = 0))
% 23.67/4.17 | | | | |
% 23.67/4.17 | | | | | DELTA: instantiating (265) with fresh symbols all_230_0, all_230_1
% 23.67/4.17 | | | | | gives:
% 23.67/4.17 | | | | | (266) cC58(iV8472) = all_230_1 & cC2(iV8472) = all_230_0 & ( ~
% 23.67/4.17 | | | | | (all_230_1 = 0) | all_230_0 = 0)
% 23.67/4.17 | | | | |
% 23.67/4.17 | | | | | REF_CLOSE: (47), (48), (61), (62), (256), (266) are inconsistent by
% 23.67/4.17 | | | | | sub-proof #2.
% 23.67/4.17 | | | | |
% 23.67/4.17 | | | | End of split
% 23.67/4.17 | | | |
% 23.67/4.17 | | | Case 2:
% 23.67/4.17 | | | |
% 23.67/4.17 | | | | (267) ! [v0: $i] : ( ~ (cC2(v0) = 0) | ~ $i(v0) | ? [v1: int] : (
% 23.67/4.17 | | | | ~ (v1 = 0) & rR1(iV8472, v0) = v1))
% 23.67/4.17 | | | |
% 23.67/4.17 | | | | GROUND_INST: instantiating (267) with iV8476, simplifying with (37),
% 23.67/4.17 | | | | (38) gives:
% 23.67/4.17 | | | | (268) ? [v0: int] : ( ~ (v0 = 0) & rR1(iV8472, iV8476) = v0)
% 23.67/4.17 | | | |
% 23.67/4.17 | | | | REF_CLOSE: (34), (50), (268) are inconsistent by sub-proof #1.
% 23.67/4.17 | | | |
% 23.67/4.17 | | | End of split
% 23.67/4.17 | | |
% 23.67/4.17 | | End of split
% 23.67/4.17 | |
% 23.67/4.17 | Case 2:
% 23.67/4.17 | |
% 23.67/4.17 | | (269) ? [v0: any] : ? [v1: any] : (cC78(iV8471) = v1 & cC2(iV8471) = v0
% 23.67/4.17 | | & (v1 = 0 | v0 = 0))
% 23.67/4.17 | |
% 23.67/4.17 | | BETA: splitting (96) gives:
% 23.67/4.17 | |
% 23.67/4.17 | | Case 1:
% 23.67/4.17 | | |
% 23.67/4.17 | | | (270) all_64_0 = 0
% 23.67/4.17 | | |
% 23.67/4.17 | | | REDUCE: (55), (270) imply:
% 23.67/4.17 | | | (271) $false
% 23.67/4.17 | | |
% 23.67/4.17 | | | CLOSE: (271) is inconsistent.
% 23.67/4.17 | | |
% 23.67/4.17 | | Case 2:
% 23.67/4.17 | | |
% 23.67/4.17 | | |
% 23.67/4.17 | | | DELTA: instantiating (269) with fresh symbols all_111_0, all_111_1 gives:
% 23.67/4.17 | | | (272) cC78(iV8471) = all_111_0 & cC2(iV8471) = all_111_1 & (all_111_0 =
% 23.67/4.17 | | | 0 | all_111_1 = 0)
% 23.67/4.17 | | |
% 23.67/4.18 | | | ALPHA: (272) implies:
% 23.67/4.18 | | | (273) cC2(iV8471) = all_111_1
% 23.67/4.18 | | | (274) cC78(iV8471) = all_111_0
% 23.67/4.18 | | | (275) all_111_0 = 0 | all_111_1 = 0
% 23.67/4.18 | | |
% 23.67/4.18 | | | GROUND_INST: instantiating (47) with all_60_0, all_111_1, iV8471,
% 23.67/4.18 | | | simplifying with (53), (273) gives:
% 23.67/4.18 | | | (276) all_111_1 = all_60_0
% 23.67/4.18 | | |
% 23.67/4.18 | | | GROUND_INST: instantiating (49) with all_64_0, all_111_0, iV8471,
% 23.67/4.18 | | | simplifying with (56), (274) gives:
% 23.67/4.18 | | | (277) all_111_0 = all_64_0
% 23.67/4.18 | | |
% 23.67/4.18 | | | BETA: splitting (275) gives:
% 23.67/4.18 | | |
% 23.67/4.18 | | | Case 1:
% 23.67/4.18 | | | |
% 23.67/4.18 | | | | (278) all_111_0 = 0
% 23.67/4.18 | | | |
% 23.67/4.18 | | | | COMBINE_EQS: (277), (278) imply:
% 23.67/4.18 | | | | (279) all_64_0 = 0
% 23.67/4.18 | | | |
% 23.67/4.18 | | | | REDUCE: (55), (279) imply:
% 23.67/4.18 | | | | (280) $false
% 23.67/4.18 | | | |
% 23.67/4.18 | | | | CLOSE: (280) is inconsistent.
% 23.67/4.18 | | | |
% 23.67/4.18 | | | Case 2:
% 23.67/4.18 | | | |
% 23.67/4.18 | | | | (281) all_111_1 = 0
% 23.67/4.18 | | | |
% 23.67/4.18 | | | | COMBINE_EQS: (276), (281) imply:
% 23.67/4.18 | | | | (282) all_60_0 = 0
% 23.67/4.18 | | | |
% 23.67/4.18 | | | | REDUCE: (52), (282) imply:
% 23.67/4.18 | | | | (283) $false
% 23.67/4.18 | | | |
% 23.67/4.18 | | | | CLOSE: (283) is inconsistent.
% 23.67/4.18 | | | |
% 23.67/4.18 | | | End of split
% 23.67/4.18 | | |
% 23.67/4.18 | | End of split
% 23.67/4.18 | |
% 23.67/4.18 | End of split
% 23.67/4.18 |
% 23.67/4.18 End of proof
% 23.67/4.18
% 23.67/4.18 Sub-proof #1 shows that the following formulas are inconsistent:
% 23.67/4.18 ----------------------------------------------------------------
% 23.67/4.18 (1) ? [v0: int] : ( ~ (v0 = 0) & rR1(iV8472, iV8476) = v0)
% 23.67/4.18 (2) ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] :
% 23.67/4.18 ! [v3: $i] : (v1 = v0 | ~ (rR1(v3, v2) = v1) | ~ (rR1(v3, v2) = v0))
% 23.67/4.18 (3) rR1(iV8472, iV8476) = 0
% 23.67/4.18
% 23.67/4.18 Begin of proof
% 23.67/4.18 |
% 23.67/4.18 | DELTA: instantiating (1) with fresh symbol all_227_0 gives:
% 23.67/4.18 | (4) ~ (all_227_0 = 0) & rR1(iV8472, iV8476) = all_227_0
% 23.67/4.18 |
% 23.67/4.18 | ALPHA: (4) implies:
% 23.67/4.18 | (5) ~ (all_227_0 = 0)
% 23.67/4.18 | (6) rR1(iV8472, iV8476) = all_227_0
% 23.67/4.18 |
% 23.67/4.18 | GROUND_INST: instantiating (2) with 0, all_227_0, iV8476, iV8472, simplifying
% 23.67/4.18 | with (3), (6) gives:
% 23.67/4.18 | (7) all_227_0 = 0
% 23.67/4.18 |
% 23.67/4.18 | REDUCE: (5), (7) imply:
% 23.67/4.18 | (8) $false
% 23.67/4.18 |
% 23.67/4.18 | CLOSE: (8) is inconsistent.
% 23.67/4.18 |
% 23.67/4.18 End of proof
% 23.67/4.18
% 23.67/4.18 Sub-proof #2 shows that the following formulas are inconsistent:
% 23.67/4.18 ----------------------------------------------------------------
% 23.67/4.18 (1) ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] :
% 23.67/4.18 (v1 = v0 | ~ (cC58(v2) = v1) | ~ (cC58(v2) = v0))
% 23.67/4.18 (2) ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] :
% 23.67/4.18 (v1 = v0 | ~ (cC2(v2) = v1) | ~ (cC2(v2) = v0))
% 23.67/4.18 (3) cC58(iV8472) = all_230_1 & cC2(iV8472) = all_230_0 & ( ~ (all_230_1 = 0)
% 23.67/4.18 | all_230_0 = 0)
% 23.67/4.18 (4) ~ (all_72_0 = 0)
% 23.67/4.18 (5) cC58(iV8472) = 0
% 23.67/4.18 (6) cC2(iV8472) = all_72_0
% 23.67/4.18
% 23.67/4.18 Begin of proof
% 23.67/4.18 |
% 23.67/4.18 | ALPHA: (3) implies:
% 23.67/4.18 | (7) cC2(iV8472) = all_230_0
% 23.67/4.18 | (8) cC58(iV8472) = all_230_1
% 23.67/4.18 | (9) ~ (all_230_1 = 0) | all_230_0 = 0
% 23.67/4.18 |
% 23.67/4.18 | GROUND_INST: instantiating (2) with all_72_0, all_230_0, iV8472, simplifying
% 23.67/4.18 | with (6), (7) gives:
% 23.67/4.18 | (10) all_230_0 = all_72_0
% 23.67/4.18 |
% 23.67/4.18 | GROUND_INST: instantiating (1) with 0, all_230_1, iV8472, simplifying with
% 23.67/4.18 | (5), (8) gives:
% 23.67/4.18 | (11) all_230_1 = 0
% 23.67/4.18 |
% 23.67/4.18 | BETA: splitting (9) gives:
% 23.67/4.18 |
% 23.67/4.18 | Case 1:
% 23.67/4.18 | |
% 23.67/4.18 | | (12) ~ (all_230_1 = 0)
% 23.67/4.18 | |
% 23.67/4.18 | | REDUCE: (11), (12) imply:
% 23.67/4.18 | | (13) $false
% 23.67/4.18 | |
% 23.67/4.18 | | CLOSE: (13) is inconsistent.
% 23.67/4.18 | |
% 23.67/4.18 | Case 2:
% 23.67/4.18 | |
% 23.67/4.18 | | (14) all_230_0 = 0
% 23.67/4.18 | |
% 23.67/4.18 | | COMBINE_EQS: (10), (14) imply:
% 23.67/4.18 | | (15) all_72_0 = 0
% 23.67/4.18 | |
% 23.67/4.18 | | REDUCE: (4), (15) imply:
% 23.67/4.18 | | (16) $false
% 23.67/4.18 | |
% 23.67/4.18 | | CLOSE: (16) is inconsistent.
% 23.67/4.18 | |
% 23.67/4.18 | End of split
% 23.67/4.18 |
% 23.67/4.18 End of proof
% 23.67/4.18
% 23.67/4.18 Sub-proof #3 shows that the following formulas are inconsistent:
% 23.67/4.18 ----------------------------------------------------------------
% 23.67/4.18 (1) ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] :
% 23.67/4.18 ! [v3: $i] : (v1 = v0 | ~ (rR1(v3, v2) = v1) | ~ (rR1(v3, v2) = v0))
% 23.67/4.18 (2) rR1(iV8467, iV8472) = 0
% 23.67/4.18 (3) ~ (all_72_0 = 0)
% 23.67/4.18 (4) ! [v0: $i] : ! [v1: int] : (v1 = 0 | ~ (cC2(v0) = v1) | ~ $i(v0) | ?
% 23.67/4.18 [v2: int] : ( ~ (v2 = 0) & rR1(iV8467, v0) = v2))
% 23.67/4.18 (5) cC2(iV8472) = all_72_0
% 23.67/4.18 (6) $i(iV8472)
% 23.67/4.18
% 23.67/4.18 Begin of proof
% 23.67/4.18 |
% 23.67/4.18 | GROUND_INST: instantiating (4) with iV8472, all_72_0, simplifying with (5),
% 23.67/4.18 | (6) gives:
% 23.67/4.18 | (7) all_72_0 = 0 | ? [v0: int] : ( ~ (v0 = 0) & rR1(iV8467, iV8472) = v0)
% 23.67/4.18 |
% 23.67/4.18 | BETA: splitting (7) gives:
% 23.67/4.18 |
% 23.67/4.18 | Case 1:
% 23.67/4.18 | |
% 23.67/4.18 | | (8) all_72_0 = 0
% 23.67/4.18 | |
% 23.67/4.18 | | REDUCE: (3), (8) imply:
% 23.67/4.18 | | (9) $false
% 23.67/4.18 | |
% 23.67/4.18 | | CLOSE: (9) is inconsistent.
% 23.67/4.18 | |
% 23.67/4.18 | Case 2:
% 23.67/4.18 | |
% 23.67/4.18 | | (10) ? [v0: int] : ( ~ (v0 = 0) & rR1(iV8467, iV8472) = v0)
% 23.67/4.18 | |
% 23.67/4.18 | | DELTA: instantiating (10) with fresh symbol all_188_0 gives:
% 23.67/4.18 | | (11) ~ (all_188_0 = 0) & rR1(iV8467, iV8472) = all_188_0
% 23.67/4.18 | |
% 23.67/4.18 | | ALPHA: (11) implies:
% 23.67/4.18 | | (12) ~ (all_188_0 = 0)
% 23.67/4.18 | | (13) rR1(iV8467, iV8472) = all_188_0
% 23.67/4.18 | |
% 23.67/4.18 | | GROUND_INST: instantiating (1) with 0, all_188_0, iV8472, iV8467,
% 23.67/4.18 | | simplifying with (2), (13) gives:
% 23.67/4.18 | | (14) all_188_0 = 0
% 23.67/4.18 | |
% 23.67/4.18 | | REDUCE: (12), (14) imply:
% 23.67/4.18 | | (15) $false
% 23.67/4.18 | |
% 23.67/4.18 | | CLOSE: (15) is inconsistent.
% 23.67/4.18 | |
% 23.67/4.18 | End of split
% 23.67/4.18 |
% 23.67/4.18 End of proof
% 23.67/4.18 % SZS output end Proof for theBenchmark
% 23.67/4.18
% 23.67/4.18 3549ms
%------------------------------------------------------------------------------