TSTP Solution File: KRS154+1 by Princess---230619
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%------------------------------------------------------------------------------
% File : Princess---230619
% Problem : KRS154+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 : n017.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 05:51:28 EDT 2023
% Result : Theorem 16.12s 2.93s
% Output : Proof 25.46s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13 % Problem : KRS154+1 : TPTP v8.1.2. Released v3.1.0.
% 0.11/0.13 % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s
% 0.15/0.35 % Computer : n017.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Mon Aug 28 01:33:12 EDT 2023
% 0.15/0.35 % 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
% 0.21/0.63 Loading /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 0.21/0.65 Running up to 7 provers in parallel.
% 0.21/0.67 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1571432423
% 0.21/0.67 Prover 3: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996
% 0.21/0.67 Prover 0: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893
% 0.21/0.67 Prover 5: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288
% 0.21/0.67 Prover 2: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1065072994
% 0.21/0.67 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696
% 0.21/0.68 Prover 6: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365
% 4.56/1.40 Prover 1: Preprocessing ...
% 4.56/1.40 Prover 4: Preprocessing ...
% 4.56/1.43 Prover 0: Preprocessing ...
% 4.56/1.43 Prover 6: Preprocessing ...
% 4.56/1.43 Prover 5: Preprocessing ...
% 4.56/1.43 Prover 3: Preprocessing ...
% 4.56/1.43 Prover 2: Preprocessing ...
% 12.24/2.41 Prover 5: Proving ...
% 12.24/2.42 Prover 2: Proving ...
% 15.52/2.88 Prover 6: Proving ...
% 15.52/2.90 Prover 1: Constructing countermodel ...
% 16.12/2.93 Prover 5: proved (2263ms)
% 16.12/2.93
% 16.12/2.93 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 16.12/2.93
% 16.12/2.93 Prover 7: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470
% 16.12/2.94 Prover 3: Constructing countermodel ...
% 16.12/2.94 Prover 2: stopped
% 16.12/2.94 Prover 8: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089
% 16.12/2.94 Prover 6: stopped
% 16.12/2.94 Prover 10: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=919308125
% 16.12/2.97 Prover 3: stopped
% 16.69/2.99 Prover 11: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1509710984
% 17.44/3.09 Prover 10: Preprocessing ...
% 17.44/3.10 Prover 8: Preprocessing ...
% 17.65/3.13 Prover 4: Constructing countermodel ...
% 17.65/3.18 Prover 7: Preprocessing ...
% 17.65/3.20 Prover 11: Preprocessing ...
% 19.23/3.37 Prover 0: Proving ...
% 19.23/3.37 Prover 0: stopped
% 19.23/3.37 Prover 13: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=1138197443
% 19.23/3.40 Prover 7: Warning: ignoring some quantifiers
% 19.80/3.43 Prover 10: Warning: ignoring some quantifiers
% 19.80/3.44 Prover 7: Constructing countermodel ...
% 20.33/3.48 Prover 10: Constructing countermodel ...
% 20.33/3.49 Prover 13: Preprocessing ...
% 21.56/3.66 Prover 13: Warning: ignoring some quantifiers
% 21.56/3.68 Prover 8: Warning: ignoring some quantifiers
% 21.56/3.70 Prover 13: Constructing countermodel ...
% 22.13/3.71 Prover 8: Constructing countermodel ...
% 24.50/4.05 Prover 1: Found proof (size 352)
% 24.50/4.05 Prover 1: proved (3390ms)
% 24.50/4.05 Prover 4: stopped
% 24.50/4.05 Prover 8: stopped
% 24.50/4.06 Prover 10: stopped
% 24.50/4.06 Prover 13: stopped
% 24.50/4.06 Prover 7: stopped
% 24.50/4.06 Prover 11: Constructing countermodel ...
% 24.50/4.06 Prover 11: stopped
% 24.50/4.06
% 24.50/4.06 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 24.50/4.06
% 24.50/4.08 % SZS output start Proof for theBenchmark
% 24.50/4.09 Assumptions after simplification:
% 24.50/4.09 ---------------------------------
% 24.50/4.09
% 24.50/4.09 (axiom_0)
% 25.05/4.11 ! [v0: $i] : ! [v1: int] : (v1 = 0 | ~ (cowlThing(v0) = v1) | ~ $i(v0)) &
% 25.05/4.11 ! [v0: $i] : ( ~ (cowlNothing(v0) = 0) | ~ $i(v0))
% 25.05/4.11
% 25.05/4.11 (axiom_1)
% 25.05/4.11 ! [v0: $i] : ! [v1: int] : (v1 = 0 | ~ (xsd_string(v0) = v1) | ~ $i(v0) |
% 25.05/4.11 xsd_integer(v0) = 0) & ! [v0: $i] : ( ~ (xsd_string(v0) = 0) | ~ $i(v0) |
% 25.05/4.11 ? [v1: int] : ( ~ (v1 = 0) & xsd_integer(v0) = v1))
% 25.05/4.11
% 25.05/4.11 (axiom_117)
% 25.05/4.12 ! [v0: $i] : ! [v1: int] : (v1 = 0 | ~ (cC80(v0) = v1) | ~ $i(v0) | ?
% 25.05/4.12 [v2: any] : ? [v3: any] : (cC78xcomp(v0) = v2 & cC76xcomp(v0) = v3 & ( ~
% 25.05/4.12 (v3 = 0) | ~ (v2 = 0)))) & ! [v0: $i] : ( ~ (cC80(v0) = 0) | ~ $i(v0)
% 25.05/4.12 | (cC78xcomp(v0) = 0 & cC76xcomp(v0) = 0))
% 25.05/4.12
% 25.05/4.12 (axiom_136)
% 25.05/4.12 ! [v0: $i] : ! [v1: int] : (v1 = 0 | ~ (cC94(v0) = v1) | ~ $i(v0) | ?
% 25.05/4.12 [v2: any] : ? [v3: any] : (cC92xcomp(v0) = v3 & cC86xcomp(v0) = v2 & ( ~
% 25.05/4.12 (v3 = 0) | ~ (v2 = 0)))) & ! [v0: $i] : ( ~ (cC94(v0) = 0) | ~ $i(v0)
% 25.05/4.12 | (cC92xcomp(v0) = 0 & cC86xcomp(v0) = 0))
% 25.05/4.12
% 25.05/4.12 (axiom_137)
% 25.05/4.12 ! [v0: $i] : ! [v1: int] : (v1 = 0 | ~ (cC94(v0) = v1) | ~ $i(v0) | !
% 25.05/4.12 [v2: $i] : ( ~ (ra_Px30(v0, v2) = 0) | ~ $i(v2))) & ! [v0: $i] : ( ~
% 25.05/4.12 (cC94(v0) = 0) | ~ $i(v0) | ? [v1: $i] : (ra_Px30(v0, v1) = 0 & $i(v1)))
% 25.05/4.12
% 25.05/4.12 (axiom_147)
% 25.05/4.12 cC102xcomp(iV822576) = 0 & $i(iV822576)
% 25.05/4.12
% 25.05/4.12 (axiom_148)
% 25.05/4.12 cC108xcomp(iV822576) = 0 & $i(iV822576)
% 25.05/4.12
% 25.05/4.12 (axiom_149)
% 25.05/4.12 cC4(iV822576) = 0 & $i(iV822576)
% 25.05/4.12
% 25.05/4.12 (axiom_15)
% 25.05/4.12 ! [v0: $i] : ! [v1: int] : (v1 = 0 | ~ (cC110(v0) = v1) | ~ $i(v0) | ?
% 25.05/4.12 [v2: any] : ? [v3: any] : (cC108xcomp(v0) = v3 & cC102xcomp(v0) = v2 & ( ~
% 25.05/4.12 (v3 = 0) | ~ (v2 = 0)))) & ! [v0: $i] : ( ~ (cC110(v0) = 0) | ~
% 25.05/4.12 $i(v0) | (cC108xcomp(v0) = 0 & cC102xcomp(v0) = 0))
% 25.05/4.12
% 25.05/4.12 (axiom_151)
% 25.05/4.12 cC112xcomp(iV822576) = 0 & $i(iV822576)
% 25.05/4.12
% 25.05/4.12 (axiom_152)
% 25.05/4.12 cC76xcomp(iV822576) = 0 & $i(iV822576)
% 25.05/4.12
% 25.05/4.12 (axiom_153)
% 25.05/4.12 cC96xcomp(iV822576) = 0 & $i(iV822576)
% 25.05/4.12
% 25.05/4.12 (axiom_158)
% 25.05/4.12 cC78xcomp(iV822576) = 0 & $i(iV822576)
% 25.05/4.12
% 25.05/4.12 (axiom_160)
% 25.05/4.12 cC134xcomp(iV822576) = 0 & $i(iV822576)
% 25.05/4.12
% 25.05/4.12 (axiom_161)
% 25.05/4.12 cC86xcomp(iV822576) = 0 & $i(iV822576)
% 25.05/4.12
% 25.05/4.12 (axiom_162)
% 25.05/4.12 cC34(iV822576) = 0 & $i(iV822576)
% 25.05/4.12
% 25.05/4.12 (axiom_166)
% 25.05/4.12 cowlThing(iV822576) = 0 & $i(iV822576)
% 25.05/4.12
% 25.05/4.12 (axiom_167)
% 25.05/4.13 cC10xcomp(iV822576) = 0 & $i(iV822576)
% 25.05/4.13
% 25.05/4.13 (axiom_168)
% 25.05/4.13 cC92xcomp(iV822576) = 0 & $i(iV822576)
% 25.05/4.13
% 25.05/4.13 (axiom_21)
% 25.05/4.13 ! [v0: $i] : ! [v1: any] : ( ~ (cC96xcomp(v0) = v1) | ~ $i(v0) | ? [v2:
% 25.05/4.13 any] : ? [v3: any] : (cC114(v0) = v2 & cC112xcomp(v0) = v3 & ( ~ (v2 = 0)
% 25.05/4.13 | (v3 = 0 & v1 = 0)))) & ! [v0: $i] : ( ~ (cC96xcomp(v0) = 0) | ~
% 25.05/4.13 $i(v0) | ? [v1: any] : ? [v2: any] : (cC114(v0) = v2 & cC112xcomp(v0) = v1
% 25.05/4.13 & ( ~ (v1 = 0) | v2 = 0)))
% 25.05/4.13
% 25.05/4.13 (axiom_22)
% 25.05/4.13 ! [v0: $i] : ! [v1: any] : ( ~ (cC80(v0) = v1) | ~ $i(v0) | ? [v2: any] :
% 25.05/4.13 ? [v3: any] : (cC116(v0) = v2 & cC114(v0) = v3 & ( ~ (v2 = 0) | (v3 = 0 & v1
% 25.05/4.13 = 0)))) & ! [v0: $i] : ( ~ (cC80(v0) = 0) | ~ $i(v0) | ? [v1: any]
% 25.05/4.13 : ? [v2: any] : (cC116(v0) = v2 & cC114(v0) = v1 & ( ~ (v1 = 0) | v2 = 0)))
% 25.05/4.13
% 25.05/4.13 (axiom_42)
% 25.05/4.13 ! [v0: $i] : ! [v1: int] : (v1 = 0 | ~ (cC136(v0) = v1) | ~ $i(v0) | ?
% 25.05/4.13 [v2: any] : ? [v3: any] : (cC134xcomp(v0) = v2 & cC116(v0) = v3 & ( ~ (v3 =
% 25.05/4.13 0) | ~ (v2 = 0)))) & ! [v0: $i] : ( ~ (cC136(v0) = 0) | ~ $i(v0) |
% 25.05/4.13 (cC134xcomp(v0) = 0 & cC116(v0) = 0))
% 25.05/4.13
% 25.05/4.13 (axiom_93)
% 25.05/4.13 ! [v0: $i] : ! [v1: int] : (v1 = 0 | ~ (cC56(v0) = v1) | ~ $i(v0) | ?
% 25.05/4.13 [v2: any] : ? [v3: any] : (cC4(v0) = v2 & cC10xcomp(v0) = v3 & ( ~ (v3 = 0)
% 25.05/4.13 | ~ (v2 = 0)))) & ! [v0: $i] : ( ~ (cC56(v0) = 0) | ~ $i(v0) |
% 25.05/4.13 (cC4(v0) = 0 & cC10xcomp(v0) = 0))
% 25.05/4.13
% 25.05/4.13 (axiom_94)
% 25.05/4.13 ! [v0: $i] : ! [v1: int] : (v1 = 0 | ~ (cC58(v0) = v1) | ~ $i(v0) | ?
% 25.05/4.13 [v2: any] : ? [v3: any] : (cC56(v0) = v3 & cC34(v0) = v2 & ( ~ (v3 = 0) |
% 25.05/4.13 ~ (v2 = 0)))) & ! [v0: $i] : ( ~ (cC58(v0) = 0) | ~ $i(v0) | (cC56(v0)
% 25.05/4.13 = 0 & cC34(v0) = 0))
% 25.05/4.13
% 25.05/4.13 (the_axiom)
% 25.05/4.13 $i(iV822576) & ? [v0: any] : ? [v1: any] : ? [v2: any] : ? [v3: any] : ?
% 25.05/4.13 [v4: any] : ? [v5: any] : ? [v6: any] : ? [v7: any] : ? [v8: any] :
% 25.05/4.13 (cC94(iV822576) = v4 & cC58(iV822576) = v0 & cC56(iV822576) = v8 &
% 25.05/4.13 cC136(iV822576) = v7 & cC80(iV822576) = v5 & cC116(iV822576) = v1 &
% 25.05/4.13 cC114(iV822576) = v2 & cC110(iV822576) = v6 & cowlThing(iV822576) = v3 & ( ~
% 25.05/4.13 (v8 = 0) | ~ (v7 = 0) | ~ (v6 = 0) | ~ (v5 = 0) | ~ (v4 = 0) | ~ (v3
% 25.05/4.13 = 0) | ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 = 0) | ? [v9: $i] : ? [v10:
% 25.05/4.13 any] : ? [v11: any] : (xsd_string(v9) = v10 & xsd_integer(v9) = v11 &
% 25.05/4.13 $i(v9) & ((v11 = 0 & v10 = 0) | ( ~ (v11 = 0) & ~ (v10 = 0)))) | ?
% 25.05/4.13 [v9: $i] : ? [v10: any] : ? [v11: any] : (cowlNothing(v9) = v11 &
% 25.05/4.13 cowlThing(v9) = v10 & $i(v9) & ( ~ (v10 = 0) | v11 = 0))))
% 25.05/4.13
% 25.05/4.14 (function-axioms)
% 25.05/4.17 ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : !
% 25.05/4.17 [v3: $i] : (v1 = v0 | ~ (ra_Px63(v3, v2) = v1) | ~ (ra_Px63(v3, v2) = v0)) &
% 25.05/4.17 ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : !
% 25.05/4.17 [v3: $i] : (v1 = v0 | ~ (ra_Px38(v3, v2) = v1) | ~ (ra_Px38(v3, v2) = v0)) &
% 25.05/4.17 ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : !
% 25.05/4.17 [v3: $i] : (v1 = v0 | ~ (ra_Px30(v3, v2) = v1) | ~ (ra_Px30(v3, v2) = v0)) &
% 25.05/4.17 ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : !
% 25.05/4.17 [v3: $i] : (v1 = v0 | ~ (ra_Px29(v3, v2) = v1) | ~ (ra_Px29(v3, v2) = v0)) &
% 25.05/4.17 ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : !
% 25.05/4.17 [v3: $i] : (v1 = v0 | ~ (ra_Px52(v3, v2) = v1) | ~ (ra_Px52(v3, v2) = v0)) &
% 25.05/4.17 ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : !
% 25.05/4.17 [v3: $i] : (v1 = v0 | ~ (ra_Px64(v3, v2) = v1) | ~ (ra_Px64(v3, v2) = v0)) &
% 25.05/4.17 ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : !
% 25.05/4.17 [v3: $i] : (v1 = v0 | ~ (ra_Px28(v3, v2) = v1) | ~ (ra_Px28(v3, v2) = v0)) &
% 25.05/4.17 ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : !
% 25.05/4.17 [v3: $i] : (v1 = v0 | ~ (ra_Px53(v3, v2) = v1) | ~ (ra_Px53(v3, v2) = v0)) &
% 25.05/4.17 ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : !
% 25.05/4.17 [v3: $i] : (v1 = v0 | ~ (ra_Px65(v3, v2) = v1) | ~ (ra_Px65(v3, v2) = v0)) &
% 25.05/4.17 ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : !
% 25.05/4.17 [v3: $i] : (v1 = v0 | ~ (ra_Px2(v3, v2) = v1) | ~ (ra_Px2(v3, v2) = v0)) &
% 25.05/4.17 ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : ! [v3:
% 25.05/4.17 $i] : (v1 = v0 | ~ (ra_Px25(v3, v2) = v1) | ~ (ra_Px25(v3, v2) = v0)) & !
% 25.05/4.17 [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : ! [v3:
% 25.05/4.17 $i] : (v1 = v0 | ~ (ra_Px24(v3, v2) = v1) | ~ (ra_Px24(v3, v2) = v0)) & !
% 25.05/4.17 [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : ! [v3:
% 25.05/4.17 $i] : (v1 = v0 | ~ (ra_Px21(v3, v2) = v1) | ~ (ra_Px21(v3, v2) = v0)) & !
% 25.05/4.17 [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : ! [v3:
% 25.05/4.17 $i] : (v1 = v0 | ~ (ra_Px20(v3, v2) = v1) | ~ (ra_Px20(v3, v2) = v0)) & !
% 25.05/4.17 [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : ! [v3:
% 25.05/4.17 $i] : (v1 = v0 | ~ (ra_Px15(v3, v2) = v1) | ~ (ra_Px15(v3, v2) = v0)) & !
% 25.05/4.17 [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : ! [v3:
% 25.05/4.17 $i] : (v1 = v0 | ~ (ra_Px13(v3, v2) = v1) | ~ (ra_Px13(v3, v2) = v0)) & !
% 25.05/4.17 [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : ! [v3:
% 25.05/4.17 $i] : (v1 = v0 | ~ (ra_Px12(v3, v2) = v1) | ~ (ra_Px12(v3, v2) = v0)) & !
% 25.05/4.17 [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : ! [v3:
% 25.05/4.17 $i] : (v1 = v0 | ~ (ra_Px11(v3, v2) = v1) | ~ (ra_Px11(v3, v2) = v0)) & !
% 25.05/4.17 [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : ! [v3:
% 25.05/4.17 $i] : (v1 = v0 | ~ (ra_Px1(v3, v2) = v1) | ~ (ra_Px1(v3, v2) = v0)) & !
% 25.05/4.17 [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : ! [v3:
% 25.05/4.17 $i] : (v1 = v0 | ~ (ra_Px9(v3, v2) = v1) | ~ (ra_Px9(v3, v2) = v0)) & !
% 25.05/4.17 [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : ! [v3:
% 25.05/4.17 $i] : (v1 = v0 | ~ (ra_Px14(v3, v2) = v1) | ~ (ra_Px14(v3, v2) = v0)) & !
% 25.05/4.17 [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : ! [v3:
% 25.05/4.17 $i] : (v1 = v0 | ~ (ra_Px8(v3, v2) = v1) | ~ (ra_Px8(v3, v2) = v0)) & !
% 25.05/4.17 [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : ! [v3:
% 25.05/4.17 $i] : (v1 = v0 | ~ (ra_Px7(v3, v2) = v1) | ~ (ra_Px7(v3, v2) = v0)) & !
% 25.05/4.17 [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : ! [v3:
% 25.05/4.17 $i] : (v1 = v0 | ~ (ra_Px6(v3, v2) = v1) | ~ (ra_Px6(v3, v2) = v0)) & !
% 25.05/4.17 [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : ! [v3:
% 25.05/4.17 $i] : (v1 = v0 | ~ (ra_Px22(v3, v2) = v1) | ~ (ra_Px22(v3, v2) = v0)) & !
% 25.05/4.17 [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : ! [v3:
% 25.05/4.17 $i] : (v1 = v0 | ~ (ra_Px56(v3, v2) = v1) | ~ (ra_Px56(v3, v2) = v0)) & !
% 25.05/4.17 [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : ! [v3:
% 25.05/4.17 $i] : (v1 = v0 | ~ (ra_Px4(v3, v2) = v1) | ~ (ra_Px4(v3, v2) = v0)) & !
% 25.05/4.17 [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : ! [v3:
% 25.05/4.17 $i] : (v1 = v0 | ~ (ra_Px47(v3, v2) = v1) | ~ (ra_Px47(v3, v2) = v0)) & !
% 25.05/4.17 [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : ! [v3:
% 25.05/4.17 $i] : (v1 = v0 | ~ (ra_Px46(v3, v2) = v1) | ~ (ra_Px46(v3, v2) = v0)) & !
% 25.05/4.17 [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : ! [v3:
% 25.05/4.17 $i] : (v1 = v0 | ~ (ra_Px45(v3, v2) = v1) | ~ (ra_Px45(v3, v2) = v0)) & !
% 25.05/4.17 [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : ! [v3:
% 25.05/4.17 $i] : (v1 = v0 | ~ (ra_Px48(v3, v2) = v1) | ~ (ra_Px48(v3, v2) = v0)) & !
% 25.05/4.17 [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : ! [v3:
% 25.05/4.17 $i] : (v1 = v0 | ~ (ra_Px44(v3, v2) = v1) | ~ (ra_Px44(v3, v2) = v0)) & !
% 25.05/4.17 [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : ! [v3:
% 25.05/4.17 $i] : (v1 = v0 | ~ (ra_Px3(v3, v2) = v1) | ~ (ra_Px3(v3, v2) = v0)) & !
% 25.05/4.17 [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : ! [v3:
% 25.05/4.17 $i] : (v1 = v0 | ~ (ra_Px39(v3, v2) = v1) | ~ (ra_Px39(v3, v2) = v0)) & !
% 25.05/4.17 [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : ! [v3:
% 25.05/4.17 $i] : (v1 = v0 | ~ (ra_Px37(v3, v2) = v1) | ~ (ra_Px37(v3, v2) = v0)) & !
% 25.05/4.17 [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : ! [v3:
% 25.05/4.17 $i] : (v1 = v0 | ~ (ra_Px36(v3, v2) = v1) | ~ (ra_Px36(v3, v2) = v0)) & !
% 25.05/4.17 [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : ! [v3:
% 25.05/4.17 $i] : (v1 = v0 | ~ (ra_Px35(v3, v2) = v1) | ~ (ra_Px35(v3, v2) = v0)) & !
% 25.05/4.17 [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : ! [v3:
% 25.05/4.17 $i] : (v1 = v0 | ~ (ra_Px49(v3, v2) = v1) | ~ (ra_Px49(v3, v2) = v0)) & !
% 25.05/4.17 [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : ! [v3:
% 25.05/4.17 $i] : (v1 = v0 | ~ (rR1(v3, v2) = v1) | ~ (rR1(v3, v2) = v0)) & ! [v0:
% 25.05/4.17 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : ! [v3: $i]
% 25.05/4.17 : (v1 = v0 | ~ (ra_Px16(v3, v2) = v1) | ~ (ra_Px16(v3, v2) = v0)) & ! [v0:
% 25.05/4.17 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 |
% 25.05/4.17 ~ (cTEST(v2) = v1) | ~ (cTEST(v2) = v0)) & ! [v0: MultipleValueBool] : !
% 25.05/4.17 [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~ (cC98xcomp(v2) = v1) |
% 25.05/4.17 ~ (cC98xcomp(v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1:
% 25.05/4.17 MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~ (cC96(v2) = v1) | ~
% 25.05/4.17 (cC96(v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] :
% 25.05/4.17 ! [v2: $i] : (v1 = v0 | ~ (cC94xcomp(v2) = v1) | ~ (cC94xcomp(v2) = v0)) &
% 25.05/4.17 ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : (v1 =
% 25.05/4.17 v0 | ~ (cC94(v2) = v1) | ~ (cC94(v2) = v0)) & ! [v0: MultipleValueBool] :
% 25.05/4.17 ! [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~ (cC92xcomp(v2) = v1)
% 25.05/4.17 | ~ (cC92xcomp(v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1:
% 25.05/4.17 MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~ (cC92(v2) = v1) | ~
% 25.05/4.17 (cC92(v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] :
% 25.05/4.17 ! [v2: $i] : (v1 = v0 | ~ (cC90xcomp(v2) = v1) | ~ (cC90xcomp(v2) = v0)) &
% 25.05/4.17 ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : (v1 =
% 25.05/4.17 v0 | ~ (cC90(v2) = v1) | ~ (cC90(v2) = v0)) & ! [v0: MultipleValueBool] :
% 25.05/4.17 ! [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~ (cC88xcomp(v2) = v1)
% 25.05/4.17 | ~ (cC88xcomp(v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1:
% 25.05/4.17 MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~ (cC88(v2) = v1) | ~
% 25.05/4.17 (cC88(v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] :
% 25.05/4.17 ! [v2: $i] : (v1 = v0 | ~ (cC86xcomp(v2) = v1) | ~ (cC86xcomp(v2) = v0)) &
% 25.05/4.17 ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : (v1 =
% 25.05/4.17 v0 | ~ (cC86(v2) = v1) | ~ (cC86(v2) = v0)) & ! [v0: MultipleValueBool] :
% 25.05/4.17 ! [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~ (cC84xcomp(v2) = v1)
% 25.05/4.17 | ~ (cC84xcomp(v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1:
% 25.05/4.17 MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~ (cC84(v2) = v1) | ~
% 25.05/4.17 (cC84(v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] :
% 25.05/4.17 ! [v2: $i] : (v1 = v0 | ~ (cC82xcomp(v2) = v1) | ~ (cC82xcomp(v2) = v0)) &
% 25.05/4.17 ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : (v1 =
% 25.05/4.17 v0 | ~ (cC82(v2) = v1) | ~ (cC82(v2) = v0)) & ! [v0: MultipleValueBool] :
% 25.05/4.17 ! [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~ (cC8(v2) = v1) | ~
% 25.05/4.17 (cC8(v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] :
% 25.05/4.17 ! [v2: $i] : (v1 = v0 | ~ (cC78xcomp(v2) = v1) | ~ (cC78xcomp(v2) = v0)) &
% 25.05/4.17 ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : (v1 =
% 25.05/4.17 v0 | ~ (cC78(v2) = v1) | ~ (cC78(v2) = v0)) & ! [v0: MultipleValueBool] :
% 25.05/4.17 ! [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~ (cC76xcomp(v2) = v1)
% 25.05/4.17 | ~ (cC76xcomp(v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1:
% 25.05/4.17 MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~ (cC76(v2) = v1) | ~
% 25.05/4.17 (cC76(v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] :
% 25.05/4.17 ! [v2: $i] : (v1 = v0 | ~ (cC72xcomp(v2) = v1) | ~ (cC72xcomp(v2) = v0)) &
% 25.05/4.17 ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : (v1 =
% 25.05/4.17 v0 | ~ (cC72(v2) = v1) | ~ (cC72(v2) = v0)) & ! [v0: MultipleValueBool] :
% 25.05/4.17 ! [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~ (cC70(v2) = v1) | ~
% 25.05/4.17 (cC70(v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] :
% 25.05/4.17 ! [v2: $i] : (v1 = v0 | ~ (cC68xcomp(v2) = v1) | ~ (cC68xcomp(v2) = v0)) &
% 25.05/4.17 ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : (v1 =
% 25.05/4.17 v0 | ~ (cC68(v2) = v1) | ~ (cC68(v2) = v0)) & ! [v0: MultipleValueBool] :
% 25.05/4.17 ! [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~ (cC66(v2) = v1) | ~
% 25.05/4.17 (cC66(v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] :
% 25.05/4.17 ! [v2: $i] : (v1 = v0 | ~ (cC64(v2) = v1) | ~ (cC64(v2) = v0)) & ! [v0:
% 25.05/4.17 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 |
% 25.05/4.17 ~ (cC62(v2) = v1) | ~ (cC62(v2) = v0)) & ! [v0: MultipleValueBool] : !
% 25.05/4.17 [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~ (cC60(v2) = v1) | ~
% 25.05/4.17 (cC60(v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] :
% 25.05/4.17 ! [v2: $i] : (v1 = v0 | ~ (cC6(v2) = v1) | ~ (cC6(v2) = v0)) & ! [v0:
% 25.05/4.17 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 |
% 25.05/4.17 ~ (cC58(v2) = v1) | ~ (cC58(v2) = v0)) & ! [v0: MultipleValueBool] : !
% 25.05/4.17 [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~ (cC56(v2) = v1) | ~
% 25.05/4.17 (cC56(v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] :
% 25.05/4.17 ! [v2: $i] : (v1 = v0 | ~ (cC54(v2) = v1) | ~ (cC54(v2) = v0)) & ! [v0:
% 25.05/4.17 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 |
% 25.05/4.17 ~ (cC52(v2) = v1) | ~ (cC52(v2) = v0)) & ! [v0: MultipleValueBool] : !
% 25.05/4.17 [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~ (cC50xcomp(v2) = v1) |
% 25.05/4.17 ~ (cC50xcomp(v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1:
% 25.05/4.17 MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~ (cC50(v2) = v1) | ~
% 25.05/4.17 (cC50(v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] :
% 25.05/4.17 ! [v2: $i] : (v1 = v0 | ~ (cC48xcomp(v2) = v1) | ~ (cC48xcomp(v2) = v0)) &
% 25.05/4.17 ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : (v1 =
% 25.05/4.17 v0 | ~ (cC48(v2) = v1) | ~ (cC48(v2) = v0)) & ! [v0: MultipleValueBool] :
% 25.05/4.17 ! [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~ (cC46xcomp(v2) = v1)
% 25.05/4.17 | ~ (cC46xcomp(v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1:
% 25.05/4.17 MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~ (cC46(v2) = v1) | ~
% 25.05/4.17 (cC46(v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] :
% 25.05/4.17 ! [v2: $i] : (v1 = v0 | ~ (cC44(v2) = v1) | ~ (cC44(v2) = v0)) & ! [v0:
% 25.05/4.17 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 |
% 25.05/4.17 ~ (cC42(v2) = v1) | ~ (cC42(v2) = v0)) & ! [v0: MultipleValueBool] : !
% 25.05/4.17 [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~ (cC40xcomp(v2) = v1) |
% 25.05/4.17 ~ (cC40xcomp(v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1:
% 25.05/4.17 MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~ (cC40(v2) = v1) | ~
% 25.05/4.17 (cC40(v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] :
% 25.05/4.17 ! [v2: $i] : (v1 = v0 | ~ (cC38(v2) = v1) | ~ (cC38(v2) = v0)) & ! [v0:
% 25.05/4.17 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 |
% 25.05/4.17 ~ (cC36(v2) = v1) | ~ (cC36(v2) = v0)) & ! [v0: MultipleValueBool] : !
% 25.05/4.17 [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~ (cC32xcomp(v2) = v1) |
% 25.05/4.17 ~ (cC32xcomp(v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1:
% 25.05/4.17 MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~ (cC32(v2) = v1) | ~
% 25.05/4.17 (cC32(v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] :
% 25.05/4.17 ! [v2: $i] : (v1 = v0 | ~ (cC30xcomp(v2) = v1) | ~ (cC30xcomp(v2) = v0)) &
% 25.05/4.17 ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : (v1 =
% 25.05/4.17 v0 | ~ (cC30(v2) = v1) | ~ (cC30(v2) = v0)) & ! [v0: MultipleValueBool] :
% 25.05/4.17 ! [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~ (cC28xcomp(v2) = v1)
% 25.05/4.17 | ~ (cC28xcomp(v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1:
% 25.05/4.17 MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~ (cC28(v2) = v1) | ~
% 25.05/4.17 (cC28(v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] :
% 25.05/4.17 ! [v2: $i] : (v1 = v0 | ~ (cC26(v2) = v1) | ~ (cC26(v2) = v0)) & ! [v0:
% 25.05/4.17 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 |
% 25.05/4.17 ~ (cC24(v2) = v1) | ~ (cC24(v2) = v0)) & ! [v0: MultipleValueBool] : !
% 25.05/4.17 [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~ (cC22xcomp(v2) = v1) |
% 25.05/4.17 ~ (cC22xcomp(v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1:
% 25.05/4.17 MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~ (cC22(v2) = v1) | ~
% 25.05/4.17 (cC22(v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] :
% 25.05/4.17 ! [v2: $i] : (v1 = v0 | ~ (cC20(v2) = v1) | ~ (cC20(v2) = v0)) & ! [v0:
% 25.05/4.17 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 |
% 25.05/4.17 ~ (cC2xcomp(v2) = v1) | ~ (cC2xcomp(v2) = v0)) & ! [v0: MultipleValueBool]
% 25.05/4.17 : ! [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~ (cC18xcomp(v2) =
% 25.05/4.17 v1) | ~ (cC18xcomp(v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1:
% 25.05/4.17 MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~ (cC18(v2) = v1) | ~
% 25.05/4.17 (cC18(v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] :
% 25.05/4.17 ! [v2: $i] : (v1 = v0 | ~ (cC16xcomp(v2) = v1) | ~ (cC16xcomp(v2) = v0)) &
% 25.05/4.17 ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : (v1 =
% 25.05/4.17 v0 | ~ (cC16(v2) = v1) | ~ (cC16(v2) = v0)) & ! [v0: MultipleValueBool] :
% 25.05/4.17 ! [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~ (cC74(v2) = v1) | ~
% 25.05/4.17 (cC74(v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] :
% 25.05/4.17 ! [v2: $i] : (v1 = v0 | ~ (cC140(v2) = v1) | ~ (cC140(v2) = v0)) & ! [v0:
% 25.05/4.17 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 |
% 25.05/4.17 ~ (cC8xcomp(v2) = v1) | ~ (cC8xcomp(v2) = v0)) & ! [v0: MultipleValueBool]
% 25.05/4.17 : ! [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~ (cC14(v2) = v1) |
% 25.05/4.17 ~ (cC14(v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool]
% 25.05/4.17 : ! [v2: $i] : (v1 = v0 | ~ (cC138xcomp(v2) = v1) | ~ (cC138xcomp(v2) =
% 25.05/4.17 v0)) & ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2:
% 25.05/4.17 $i] : (v1 = v0 | ~ (cC138(v2) = v1) | ~ (cC138(v2) = v0)) & ! [v0:
% 25.05/4.17 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 |
% 25.05/4.17 ~ (cC136xcomp(v2) = v1) | ~ (cC136xcomp(v2) = v0)) & ! [v0:
% 25.05/4.17 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 |
% 25.05/4.17 ~ (cC136(v2) = v1) | ~ (cC136(v2) = v0)) & ! [v0: MultipleValueBool] : !
% 25.05/4.17 [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~ (cC134xcomp(v2) = v1) |
% 25.05/4.17 ~ (cC134xcomp(v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1:
% 25.05/4.17 MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~ (cC134(v2) = v1) | ~
% 25.05/4.17 (cC134(v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool]
% 25.05/4.17 : ! [v2: $i] : (v1 = v0 | ~ (cC132xcomp(v2) = v1) | ~ (cC132xcomp(v2) =
% 25.05/4.18 v0)) & ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2:
% 25.05/4.18 $i] : (v1 = v0 | ~ (cC132(v2) = v1) | ~ (cC132(v2) = v0)) & ! [v0:
% 25.05/4.18 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 |
% 25.05/4.18 ~ (cC2(v2) = v1) | ~ (cC2(v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1:
% 25.05/4.18 MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~ (cC130xcomp(v2) = v1) | ~
% 25.05/4.18 (cC130xcomp(v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1:
% 25.05/4.18 MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~ (cC130(v2) = v1) | ~
% 25.05/4.18 (cC130(v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool]
% 25.05/4.18 : ! [v2: $i] : (v1 = v0 | ~ (cC128(v2) = v1) | ~ (cC128(v2) = v0)) & !
% 25.05/4.18 [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0
% 25.05/4.18 | ~ (cC126(v2) = v1) | ~ (cC126(v2) = v0)) & ! [v0: MultipleValueBool] :
% 25.05/4.18 ! [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~ (cC124(v2) = v1) | ~
% 25.05/4.18 (cC124(v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool]
% 25.05/4.18 : ! [v2: $i] : (v1 = v0 | ~ (cC122(v2) = v1) | ~ (cC122(v2) = v0)) & !
% 25.05/4.18 [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0
% 25.05/4.18 | ~ (cC120(v2) = v1) | ~ (cC120(v2) = v0)) & ! [v0: MultipleValueBool] :
% 25.05/4.18 ! [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~ (cC12xcomp(v2) = v1) |
% 25.05/4.18 ~ (cC12xcomp(v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1:
% 25.05/4.18 MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~ (cC12(v2) = v1) | ~
% 25.05/4.18 (cC12(v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] :
% 25.05/4.18 ! [v2: $i] : (v1 = v0 | ~ (cC4xcomp(v2) = v1) | ~ (cC4xcomp(v2) = v0)) & !
% 25.05/4.18 [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0
% 25.05/4.18 | ~ (cC118(v2) = v1) | ~ (cC118(v2) = v0)) & ! [v0: MultipleValueBool] :
% 25.05/4.18 ! [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~ (cC80(v2) = v1) | ~
% 25.05/4.18 (cC80(v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] :
% 25.05/4.18 ! [v2: $i] : (v1 = v0 | ~ (cC116(v2) = v1) | ~ (cC116(v2) = v0)) & ! [v0:
% 25.05/4.18 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 |
% 25.05/4.18 ~ (cC96xcomp(v2) = v1) | ~ (cC96xcomp(v2) = v0)) & ! [v0:
% 25.05/4.18 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 |
% 25.05/4.18 ~ (cC114(v2) = v1) | ~ (cC114(v2) = v0)) & ! [v0: MultipleValueBool] : !
% 25.05/4.18 [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~ (cC112xcomp(v2) = v1) |
% 25.05/4.18 ~ (cC112xcomp(v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1:
% 25.05/4.18 MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~ (cC112(v2) = v1) | ~
% 25.05/4.18 (cC112(v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool]
% 25.05/4.18 : ! [v2: $i] : (v1 = v0 | ~ (cC110xcomp(v2) = v1) | ~ (cC110xcomp(v2) =
% 25.05/4.18 v0)) & ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2:
% 25.05/4.18 $i] : (v1 = v0 | ~ (cC110(v2) = v1) | ~ (cC110(v2) = v0)) & ! [v0:
% 25.05/4.18 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 |
% 25.05/4.18 ~ (cC108xcomp(v2) = v1) | ~ (cC108xcomp(v2) = v0)) & ! [v0:
% 25.05/4.18 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 |
% 25.05/4.18 ~ (cC108(v2) = v1) | ~ (cC108(v2) = v0)) & ! [v0: MultipleValueBool] : !
% 25.05/4.18 [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~ (cC34xcomp(v2) = v1) |
% 25.05/4.18 ~ (cC34xcomp(v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1:
% 25.05/4.18 MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~ (cC106(v2) = v1) | ~
% 25.05/4.18 (cC106(v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool]
% 25.05/4.18 : ! [v2: $i] : (v1 = v0 | ~ (cC104(v2) = v1) | ~ (cC104(v2) = v0)) & !
% 25.05/4.18 [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0
% 25.05/4.18 | ~ (cC4(v2) = v1) | ~ (cC4(v2) = v0)) & ! [v0: MultipleValueBool] : !
% 25.05/4.18 [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~ (cC102xcomp(v2) = v1) |
% 25.05/4.18 ~ (cC102xcomp(v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1:
% 25.05/4.18 MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~ (cC34(v2) = v1) | ~
% 25.05/4.18 (cC34(v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] :
% 25.05/4.18 ! [v2: $i] : (v1 = v0 | ~ (cC102(v2) = v1) | ~ (cC102(v2) = v0)) & ! [v0:
% 25.05/4.18 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 |
% 25.05/4.18 ~ (cC100xcomp(v2) = v1) | ~ (cC100xcomp(v2) = v0)) & ! [v0:
% 25.05/4.18 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 |
% 25.05/4.18 ~ (cC100(v2) = v1) | ~ (cC100(v2) = v0)) & ! [v0: MultipleValueBool] : !
% 25.05/4.18 [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~ (cC98(v2) = v1) | ~
% 25.05/4.18 (cC98(v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] :
% 25.05/4.18 ! [v2: $i] : (v1 = v0 | ~ (cC10xcomp(v2) = v1) | ~ (cC10xcomp(v2) = v0)) &
% 25.05/4.18 ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : (v1 =
% 25.05/4.18 v0 | ~ (cC10(v2) = v1) | ~ (cC10(v2) = v0)) & ! [v0: MultipleValueBool] :
% 25.05/4.18 ! [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~ (xsd_string(v2) = v1)
% 25.05/4.18 | ~ (xsd_string(v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1:
% 25.05/4.18 MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~ (xsd_integer(v2) = v1) | ~
% 25.05/4.18 (xsd_integer(v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1:
% 25.05/4.18 MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~ (cowlNothing(v2) = v1) | ~
% 25.05/4.18 (cowlNothing(v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1:
% 25.05/4.18 MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~ (cowlThing(v2) = v1) | ~
% 25.05/4.18 (cowlThing(v2) = v0))
% 25.05/4.18
% 25.05/4.18 Further assumptions not needed in the proof:
% 25.05/4.18 --------------------------------------------
% 25.05/4.18 axiom_10, axiom_100, axiom_101, axiom_102, axiom_103, axiom_104, axiom_105,
% 25.05/4.18 axiom_106, axiom_107, axiom_108, axiom_109, axiom_11, axiom_110, axiom_111,
% 25.05/4.18 axiom_112, axiom_113, axiom_114, axiom_115, axiom_116, axiom_118, axiom_119,
% 25.05/4.18 axiom_12, axiom_120, axiom_121, axiom_122, axiom_123, axiom_124, axiom_125,
% 25.05/4.18 axiom_126, axiom_127, axiom_128, axiom_129, axiom_13, axiom_130, axiom_131,
% 25.05/4.18 axiom_132, axiom_133, axiom_134, axiom_135, axiom_138, axiom_139, axiom_14,
% 25.05/4.18 axiom_140, axiom_141, axiom_142, axiom_143, axiom_144, axiom_145, axiom_146,
% 25.05/4.18 axiom_150, axiom_154, axiom_155, axiom_156, axiom_157, axiom_159, axiom_16,
% 25.05/4.18 axiom_163, axiom_164, axiom_165, axiom_17, axiom_18, axiom_19, axiom_2,
% 25.05/4.18 axiom_20, axiom_23, axiom_24, axiom_25, axiom_26, axiom_27, axiom_28, axiom_29,
% 25.05/4.18 axiom_3, axiom_30, axiom_31, axiom_32, axiom_33, axiom_34, axiom_35, axiom_36,
% 25.05/4.18 axiom_37, axiom_38, axiom_39, axiom_4, axiom_40, axiom_41, axiom_43, axiom_44,
% 25.05/4.18 axiom_45, axiom_46, axiom_47, axiom_48, axiom_49, axiom_5, axiom_50, axiom_51,
% 25.05/4.18 axiom_52, axiom_53, axiom_54, axiom_55, axiom_56, axiom_57, axiom_58, axiom_59,
% 25.05/4.18 axiom_6, axiom_60, axiom_61, axiom_62, axiom_63, axiom_64, axiom_65, axiom_66,
% 25.05/4.18 axiom_67, axiom_68, axiom_69, axiom_7, axiom_70, axiom_71, axiom_72, axiom_73,
% 25.05/4.18 axiom_74, axiom_75, axiom_76, axiom_77, axiom_78, axiom_79, axiom_8, axiom_80,
% 25.05/4.18 axiom_81, axiom_82, axiom_83, axiom_84, axiom_85, axiom_86, axiom_87, axiom_88,
% 25.05/4.18 axiom_89, axiom_9, axiom_90, axiom_91, axiom_92, axiom_95, axiom_96, axiom_97,
% 25.05/4.18 axiom_98, axiom_99
% 25.05/4.18
% 25.05/4.18 Those formulas are unsatisfiable:
% 25.05/4.18 ---------------------------------
% 25.05/4.18
% 25.05/4.18 Begin of proof
% 25.05/4.18 |
% 25.05/4.18 | ALPHA: (axiom_0) implies:
% 25.05/4.18 | (1) ! [v0: $i] : ( ~ (cowlNothing(v0) = 0) | ~ $i(v0))
% 25.05/4.18 | (2) ! [v0: $i] : ! [v1: int] : (v1 = 0 | ~ (cowlThing(v0) = v1) | ~
% 25.05/4.18 | $i(v0))
% 25.05/4.18 |
% 25.05/4.18 | ALPHA: (axiom_1) implies:
% 25.05/4.18 | (3) ! [v0: $i] : ( ~ (xsd_string(v0) = 0) | ~ $i(v0) | ? [v1: int] : ( ~
% 25.05/4.18 | (v1 = 0) & xsd_integer(v0) = v1))
% 25.05/4.18 | (4) ! [v0: $i] : ! [v1: int] : (v1 = 0 | ~ (xsd_string(v0) = v1) | ~
% 25.05/4.18 | $i(v0) | xsd_integer(v0) = 0)
% 25.05/4.18 |
% 25.05/4.18 | ALPHA: (axiom_15) implies:
% 25.05/4.18 | (5) ! [v0: $i] : ! [v1: int] : (v1 = 0 | ~ (cC110(v0) = v1) | ~ $i(v0)
% 25.05/4.18 | | ? [v2: any] : ? [v3: any] : (cC108xcomp(v0) = v3 & cC102xcomp(v0)
% 25.05/4.18 | = v2 & ( ~ (v3 = 0) | ~ (v2 = 0))))
% 25.05/4.18 |
% 25.05/4.18 | ALPHA: (axiom_21) implies:
% 25.05/4.18 | (6) ! [v0: $i] : ( ~ (cC96xcomp(v0) = 0) | ~ $i(v0) | ? [v1: any] : ?
% 25.05/4.18 | [v2: any] : (cC114(v0) = v2 & cC112xcomp(v0) = v1 & ( ~ (v1 = 0) | v2
% 25.05/4.18 | = 0)))
% 25.05/4.18 |
% 25.05/4.18 | ALPHA: (axiom_22) implies:
% 25.05/4.18 | (7) ! [v0: $i] : ( ~ (cC80(v0) = 0) | ~ $i(v0) | ? [v1: any] : ? [v2:
% 25.05/4.18 | any] : (cC116(v0) = v2 & cC114(v0) = v1 & ( ~ (v1 = 0) | v2 = 0)))
% 25.05/4.18 | (8) ! [v0: $i] : ! [v1: any] : ( ~ (cC80(v0) = v1) | ~ $i(v0) | ? [v2:
% 25.05/4.18 | any] : ? [v3: any] : (cC116(v0) = v2 & cC114(v0) = v3 & ( ~ (v2 =
% 25.05/4.18 | 0) | (v3 = 0 & v1 = 0))))
% 25.05/4.18 |
% 25.05/4.18 | ALPHA: (axiom_42) implies:
% 25.05/4.19 | (9) ! [v0: $i] : ! [v1: int] : (v1 = 0 | ~ (cC136(v0) = v1) | ~ $i(v0)
% 25.05/4.19 | | ? [v2: any] : ? [v3: any] : (cC134xcomp(v0) = v2 & cC116(v0) = v3
% 25.05/4.19 | & ( ~ (v3 = 0) | ~ (v2 = 0))))
% 25.46/4.19 |
% 25.46/4.19 | ALPHA: (axiom_93) implies:
% 25.46/4.19 | (10) ! [v0: $i] : ! [v1: int] : (v1 = 0 | ~ (cC56(v0) = v1) | ~ $i(v0)
% 25.46/4.19 | | ? [v2: any] : ? [v3: any] : (cC4(v0) = v2 & cC10xcomp(v0) = v3 &
% 25.46/4.19 | ( ~ (v3 = 0) | ~ (v2 = 0))))
% 25.46/4.19 |
% 25.46/4.19 | ALPHA: (axiom_94) implies:
% 25.46/4.19 | (11) ! [v0: $i] : ! [v1: int] : (v1 = 0 | ~ (cC58(v0) = v1) | ~ $i(v0)
% 25.46/4.19 | | ? [v2: any] : ? [v3: any] : (cC56(v0) = v3 & cC34(v0) = v2 & ( ~
% 25.46/4.19 | (v3 = 0) | ~ (v2 = 0))))
% 25.46/4.19 |
% 25.46/4.19 | ALPHA: (axiom_117) implies:
% 25.46/4.19 | (12) ! [v0: $i] : ! [v1: int] : (v1 = 0 | ~ (cC80(v0) = v1) | ~ $i(v0)
% 25.46/4.19 | | ? [v2: any] : ? [v3: any] : (cC78xcomp(v0) = v2 & cC76xcomp(v0)
% 25.46/4.19 | = v3 & ( ~ (v3 = 0) | ~ (v2 = 0))))
% 25.46/4.19 |
% 25.46/4.19 | ALPHA: (axiom_136) implies:
% 25.46/4.19 | (13) ! [v0: $i] : ! [v1: int] : (v1 = 0 | ~ (cC94(v0) = v1) | ~ $i(v0)
% 25.46/4.19 | | ? [v2: any] : ? [v3: any] : (cC92xcomp(v0) = v3 & cC86xcomp(v0)
% 25.46/4.19 | = v2 & ( ~ (v3 = 0) | ~ (v2 = 0))))
% 25.46/4.19 |
% 25.46/4.19 | ALPHA: (axiom_137) implies:
% 25.46/4.19 | (14) ! [v0: $i] : ! [v1: int] : (v1 = 0 | ~ (cC94(v0) = v1) | ~ $i(v0)
% 25.46/4.19 | | ! [v2: $i] : ( ~ (ra_Px30(v0, v2) = 0) | ~ $i(v2)))
% 25.46/4.19 |
% 25.46/4.19 | ALPHA: (axiom_147) implies:
% 25.46/4.19 | (15) cC102xcomp(iV822576) = 0
% 25.46/4.19 |
% 25.46/4.19 | ALPHA: (axiom_148) implies:
% 25.46/4.19 | (16) cC108xcomp(iV822576) = 0
% 25.46/4.19 |
% 25.46/4.19 | ALPHA: (axiom_149) implies:
% 25.46/4.19 | (17) cC4(iV822576) = 0
% 25.46/4.19 |
% 25.46/4.19 | ALPHA: (axiom_151) implies:
% 25.46/4.19 | (18) cC112xcomp(iV822576) = 0
% 25.46/4.19 |
% 25.46/4.19 | ALPHA: (axiom_152) implies:
% 25.46/4.19 | (19) cC76xcomp(iV822576) = 0
% 25.46/4.19 |
% 25.46/4.19 | ALPHA: (axiom_153) implies:
% 25.46/4.19 | (20) cC96xcomp(iV822576) = 0
% 25.46/4.19 |
% 25.46/4.19 | ALPHA: (axiom_158) implies:
% 25.46/4.19 | (21) cC78xcomp(iV822576) = 0
% 25.46/4.19 |
% 25.46/4.19 | ALPHA: (axiom_160) implies:
% 25.46/4.19 | (22) cC134xcomp(iV822576) = 0
% 25.46/4.19 |
% 25.46/4.19 | ALPHA: (axiom_161) implies:
% 25.46/4.19 | (23) cC86xcomp(iV822576) = 0
% 25.46/4.19 |
% 25.46/4.19 | ALPHA: (axiom_162) implies:
% 25.46/4.19 | (24) cC34(iV822576) = 0
% 25.46/4.19 |
% 25.46/4.19 | ALPHA: (axiom_166) implies:
% 25.46/4.19 | (25) cowlThing(iV822576) = 0
% 25.46/4.19 |
% 25.46/4.19 | ALPHA: (axiom_167) implies:
% 25.46/4.19 | (26) cC10xcomp(iV822576) = 0
% 25.46/4.19 |
% 25.46/4.19 | ALPHA: (axiom_168) implies:
% 25.46/4.19 | (27) cC92xcomp(iV822576) = 0
% 25.46/4.19 |
% 25.46/4.19 | ALPHA: (the_axiom) implies:
% 25.46/4.19 | (28) $i(iV822576)
% 25.46/4.19 | (29) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? [v3: any] : ? [v4:
% 25.46/4.19 | any] : ? [v5: any] : ? [v6: any] : ? [v7: any] : ? [v8: any] :
% 25.46/4.19 | (cC94(iV822576) = v4 & cC58(iV822576) = v0 & cC56(iV822576) = v8 &
% 25.46/4.19 | cC136(iV822576) = v7 & cC80(iV822576) = v5 & cC116(iV822576) = v1 &
% 25.46/4.19 | cC114(iV822576) = v2 & cC110(iV822576) = v6 & cowlThing(iV822576) =
% 25.46/4.19 | v3 & ( ~ (v8 = 0) | ~ (v7 = 0) | ~ (v6 = 0) | ~ (v5 = 0) | ~ (v4
% 25.46/4.19 | = 0) | ~ (v3 = 0) | ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 = 0) |
% 25.46/4.19 | ? [v9: $i] : ? [v10: any] : ? [v11: any] : (xsd_string(v9) = v10
% 25.46/4.19 | & xsd_integer(v9) = v11 & $i(v9) & ((v11 = 0 & v10 = 0) | ( ~
% 25.46/4.19 | (v11 = 0) & ~ (v10 = 0)))) | ? [v9: $i] : ? [v10: any] :
% 25.46/4.19 | ? [v11: any] : (cowlNothing(v9) = v11 & cowlThing(v9) = v10 &
% 25.46/4.19 | $i(v9) & ( ~ (v10 = 0) | v11 = 0))))
% 25.46/4.19 |
% 25.46/4.19 | ALPHA: (function-axioms) implies:
% 25.46/4.19 | (30) ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i]
% 25.46/4.19 | : (v1 = v0 | ~ (cowlThing(v2) = v1) | ~ (cowlThing(v2) = v0))
% 25.46/4.19 | (31) ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i]
% 25.46/4.19 | : (v1 = v0 | ~ (xsd_integer(v2) = v1) | ~ (xsd_integer(v2) = v0))
% 25.46/4.19 | (32) ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i]
% 25.46/4.19 | : (v1 = v0 | ~ (cC10xcomp(v2) = v1) | ~ (cC10xcomp(v2) = v0))
% 25.46/4.19 | (33) ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i]
% 25.46/4.19 | : (v1 = v0 | ~ (cC34(v2) = v1) | ~ (cC34(v2) = v0))
% 25.46/4.20 | (34) ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i]
% 25.46/4.20 | : (v1 = v0 | ~ (cC102xcomp(v2) = v1) | ~ (cC102xcomp(v2) = v0))
% 25.46/4.20 | (35) ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i]
% 25.46/4.20 | : (v1 = v0 | ~ (cC4(v2) = v1) | ~ (cC4(v2) = v0))
% 25.46/4.20 | (36) ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i]
% 25.46/4.20 | : (v1 = v0 | ~ (cC108xcomp(v2) = v1) | ~ (cC108xcomp(v2) = v0))
% 25.46/4.20 | (37) ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i]
% 25.46/4.20 | : (v1 = v0 | ~ (cC112xcomp(v2) = v1) | ~ (cC112xcomp(v2) = v0))
% 25.46/4.20 | (38) ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i]
% 25.46/4.20 | : (v1 = v0 | ~ (cC114(v2) = v1) | ~ (cC114(v2) = v0))
% 25.46/4.20 | (39) ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i]
% 25.46/4.20 | : (v1 = v0 | ~ (cC116(v2) = v1) | ~ (cC116(v2) = v0))
% 25.46/4.20 | (40) ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i]
% 25.46/4.20 | : (v1 = v0 | ~ (cC134xcomp(v2) = v1) | ~ (cC134xcomp(v2) = v0))
% 25.46/4.20 | (41) ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i]
% 25.46/4.20 | : (v1 = v0 | ~ (cC56(v2) = v1) | ~ (cC56(v2) = v0))
% 25.46/4.20 | (42) ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i]
% 25.46/4.20 | : (v1 = v0 | ~ (cC76xcomp(v2) = v1) | ~ (cC76xcomp(v2) = v0))
% 25.46/4.20 | (43) ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i]
% 25.46/4.20 | : (v1 = v0 | ~ (cC78xcomp(v2) = v1) | ~ (cC78xcomp(v2) = v0))
% 25.46/4.20 | (44) ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i]
% 25.46/4.20 | : (v1 = v0 | ~ (cC86xcomp(v2) = v1) | ~ (cC86xcomp(v2) = v0))
% 25.46/4.20 | (45) ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i]
% 25.46/4.20 | : (v1 = v0 | ~ (cC92xcomp(v2) = v1) | ~ (cC92xcomp(v2) = v0))
% 25.46/4.20 |
% 25.46/4.20 | DELTA: instantiating (29) with fresh symbols all_153_0, all_153_1, all_153_2,
% 25.46/4.20 | all_153_3, all_153_4, all_153_5, all_153_6, all_153_7, all_153_8 gives:
% 25.46/4.20 | (46) cC94(iV822576) = all_153_4 & cC58(iV822576) = all_153_8 &
% 25.46/4.20 | cC56(iV822576) = all_153_0 & cC136(iV822576) = all_153_1 &
% 25.46/4.20 | cC80(iV822576) = all_153_3 & cC116(iV822576) = all_153_7 &
% 25.46/4.20 | cC114(iV822576) = all_153_6 & cC110(iV822576) = all_153_2 &
% 25.46/4.20 | cowlThing(iV822576) = all_153_5 & ( ~ (all_153_0 = 0) | ~ (all_153_1
% 25.46/4.20 | = 0) | ~ (all_153_2 = 0) | ~ (all_153_3 = 0) | ~ (all_153_4 =
% 25.46/4.20 | 0) | ~ (all_153_5 = 0) | ~ (all_153_6 = 0) | ~ (all_153_7 = 0)
% 25.46/4.20 | | ~ (all_153_8 = 0) | ? [v0: $i] : ? [v1: any] : ? [v2: any] :
% 25.46/4.20 | (xsd_string(v0) = v1 & xsd_integer(v0) = v2 & $i(v0) & ((v2 = 0 & v1
% 25.46/4.20 | = 0) | ( ~ (v2 = 0) & ~ (v1 = 0)))) | ? [v0: $i] : ? [v1:
% 25.46/4.20 | any] : ? [v2: any] : (cowlNothing(v0) = v2 & cowlThing(v0) = v1 &
% 25.46/4.20 | $i(v0) & ( ~ (v1 = 0) | v2 = 0)))
% 25.46/4.20 |
% 25.46/4.20 | ALPHA: (46) implies:
% 25.46/4.20 | (47) cowlThing(iV822576) = all_153_5
% 25.46/4.20 | (48) cC110(iV822576) = all_153_2
% 25.46/4.20 | (49) cC114(iV822576) = all_153_6
% 25.46/4.20 | (50) cC116(iV822576) = all_153_7
% 25.46/4.20 | (51) cC80(iV822576) = all_153_3
% 25.46/4.20 | (52) cC136(iV822576) = all_153_1
% 25.46/4.20 | (53) cC56(iV822576) = all_153_0
% 25.46/4.20 | (54) cC58(iV822576) = all_153_8
% 25.46/4.20 | (55) cC94(iV822576) = all_153_4
% 25.46/4.20 | (56) ~ (all_153_0 = 0) | ~ (all_153_1 = 0) | ~ (all_153_2 = 0) | ~
% 25.46/4.20 | (all_153_3 = 0) | ~ (all_153_4 = 0) | ~ (all_153_5 = 0) | ~
% 25.46/4.20 | (all_153_6 = 0) | ~ (all_153_7 = 0) | ~ (all_153_8 = 0) | ? [v0:
% 25.46/4.20 | $i] : ? [v1: any] : ? [v2: any] : (xsd_string(v0) = v1 &
% 25.46/4.20 | xsd_integer(v0) = v2 & $i(v0) & ((v2 = 0 & v1 = 0) | ( ~ (v2 = 0) &
% 25.46/4.20 | ~ (v1 = 0)))) | ? [v0: $i] : ? [v1: any] : ? [v2: any] :
% 25.46/4.20 | (cowlNothing(v0) = v2 & cowlThing(v0) = v1 & $i(v0) & ( ~ (v1 = 0) |
% 25.46/4.20 | v2 = 0))
% 25.46/4.20 |
% 25.46/4.20 | GROUND_INST: instantiating (30) with 0, all_153_5, iV822576, simplifying with
% 25.46/4.20 | (25), (47) gives:
% 25.46/4.20 | (57) all_153_5 = 0
% 25.46/4.20 |
% 25.46/4.20 | GROUND_INST: instantiating (5) with iV822576, all_153_2, simplifying with
% 25.46/4.20 | (28), (48) gives:
% 25.46/4.20 | (58) all_153_2 = 0 | ? [v0: any] : ? [v1: any] : (cC108xcomp(iV822576) =
% 25.46/4.20 | v1 & cC102xcomp(iV822576) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0)))
% 25.46/4.20 |
% 25.46/4.21 | GROUND_INST: instantiating (6) with iV822576, simplifying with (20), (28)
% 25.46/4.21 | gives:
% 25.46/4.21 | (59) ? [v0: any] : ? [v1: any] : (cC114(iV822576) = v1 &
% 25.46/4.21 | cC112xcomp(iV822576) = v0 & ( ~ (v0 = 0) | v1 = 0))
% 25.46/4.21 |
% 25.46/4.21 | GROUND_INST: instantiating (12) with iV822576, all_153_3, simplifying with
% 25.46/4.21 | (28), (51) gives:
% 25.46/4.21 | (60) all_153_3 = 0 | ? [v0: any] : ? [v1: any] : (cC78xcomp(iV822576) =
% 25.46/4.21 | v0 & cC76xcomp(iV822576) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0)))
% 25.46/4.21 |
% 25.46/4.21 | GROUND_INST: instantiating (8) with iV822576, all_153_3, simplifying with
% 25.46/4.21 | (28), (51) gives:
% 25.46/4.21 | (61) ? [v0: any] : ? [v1: any] : (cC116(iV822576) = v0 & cC114(iV822576)
% 25.46/4.21 | = v1 & ( ~ (v0 = 0) | (v1 = 0 & all_153_3 = 0)))
% 25.46/4.21 |
% 25.46/4.21 | GROUND_INST: instantiating (9) with iV822576, all_153_1, simplifying with
% 25.46/4.21 | (28), (52) gives:
% 25.46/4.21 | (62) all_153_1 = 0 | ? [v0: any] : ? [v1: any] : (cC134xcomp(iV822576) =
% 25.46/4.21 | v0 & cC116(iV822576) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0)))
% 25.46/4.21 |
% 25.46/4.21 | GROUND_INST: instantiating (10) with iV822576, all_153_0, simplifying with
% 25.46/4.21 | (28), (53) gives:
% 25.46/4.21 | (63) all_153_0 = 0 | ? [v0: any] : ? [v1: any] : (cC4(iV822576) = v0 &
% 25.46/4.21 | cC10xcomp(iV822576) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0)))
% 25.46/4.21 |
% 25.46/4.21 | GROUND_INST: instantiating (11) with iV822576, all_153_8, simplifying with
% 25.46/4.21 | (28), (54) gives:
% 25.46/4.21 | (64) all_153_8 = 0 | ? [v0: any] : ? [v1: any] : (cC56(iV822576) = v1 &
% 25.46/4.21 | cC34(iV822576) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0)))
% 25.46/4.21 |
% 25.46/4.21 | GROUND_INST: instantiating (13) with iV822576, all_153_4, simplifying with
% 25.46/4.21 | (28), (55) gives:
% 25.46/4.21 | (65) all_153_4 = 0 | ? [v0: any] : ? [v1: any] : (cC92xcomp(iV822576) =
% 25.46/4.21 | v1 & cC86xcomp(iV822576) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0)))
% 25.46/4.21 |
% 25.46/4.21 | GROUND_INST: instantiating (14) with iV822576, all_153_4, simplifying with
% 25.46/4.21 | (28), (55) gives:
% 25.46/4.21 | (66) all_153_4 = 0 | ! [v0: $i] : ( ~ (ra_Px30(iV822576, v0) = 0) | ~
% 25.46/4.21 | $i(v0))
% 25.46/4.21 |
% 25.46/4.21 | DELTA: instantiating (59) with fresh symbols all_189_0, all_189_1 gives:
% 25.46/4.21 | (67) cC114(iV822576) = all_189_0 & cC112xcomp(iV822576) = all_189_1 & ( ~
% 25.46/4.21 | (all_189_1 = 0) | all_189_0 = 0)
% 25.46/4.21 |
% 25.46/4.21 | ALPHA: (67) implies:
% 25.46/4.21 | (68) cC112xcomp(iV822576) = all_189_1
% 25.46/4.21 | (69) cC114(iV822576) = all_189_0
% 25.46/4.21 | (70) ~ (all_189_1 = 0) | all_189_0 = 0
% 25.46/4.21 |
% 25.46/4.21 | DELTA: instantiating (61) with fresh symbols all_191_0, all_191_1 gives:
% 25.46/4.21 | (71) cC116(iV822576) = all_191_1 & cC114(iV822576) = all_191_0 & ( ~
% 25.46/4.21 | (all_191_1 = 0) | (all_191_0 = 0 & all_153_3 = 0))
% 25.46/4.21 |
% 25.46/4.21 | ALPHA: (71) implies:
% 25.46/4.21 | (72) cC114(iV822576) = all_191_0
% 25.46/4.21 | (73) cC116(iV822576) = all_191_1
% 25.46/4.21 |
% 25.46/4.21 | BETA: splitting (60) gives:
% 25.46/4.21 |
% 25.46/4.21 | Case 1:
% 25.46/4.21 | |
% 25.46/4.21 | | (74) all_153_3 = 0
% 25.46/4.21 | |
% 25.46/4.21 | | REDUCE: (51), (74) imply:
% 25.46/4.21 | | (75) cC80(iV822576) = 0
% 25.46/4.21 | |
% 25.46/4.21 | | BETA: splitting (65) gives:
% 25.46/4.21 | |
% 25.46/4.21 | | Case 1:
% 25.46/4.21 | | |
% 25.46/4.21 | | | (76) all_153_4 = 0
% 25.46/4.21 | | |
% 25.46/4.21 | | | REF_CLOSE: (1), (2), (3), (4), (7), (15), (16), (17), (18), (22), (24),
% 25.46/4.21 | | | (26), (28), (31), (32), (33), (34), (35), (36), (37), (38),
% 25.46/4.21 | | | (39), (40), (41), (49), (50), (53), (56), (57), (58), (62),
% 25.46/4.21 | | | (63), (64), (68), (69), (70), (72), (73), (74), (75), (76) are
% 25.46/4.21 | | | inconsistent by sub-proof #1.
% 25.46/4.21 | | |
% 25.46/4.21 | | Case 2:
% 25.46/4.21 | | |
% 25.46/4.21 | | | (77) ? [v0: any] : ? [v1: any] : (cC92xcomp(iV822576) = v1 &
% 25.46/4.21 | | | cC86xcomp(iV822576) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0)))
% 25.46/4.21 | | |
% 25.46/4.21 | | | DELTA: instantiating (77) with fresh symbols all_201_0, all_201_1 gives:
% 25.46/4.21 | | | (78) cC92xcomp(iV822576) = all_201_0 & cC86xcomp(iV822576) = all_201_1
% 25.46/4.21 | | | & ( ~ (all_201_0 = 0) | ~ (all_201_1 = 0))
% 25.46/4.21 | | |
% 25.46/4.21 | | | ALPHA: (78) implies:
% 25.46/4.21 | | | (79) cC86xcomp(iV822576) = all_201_1
% 25.46/4.22 | | | (80) cC92xcomp(iV822576) = all_201_0
% 25.46/4.22 | | | (81) ~ (all_201_0 = 0) | ~ (all_201_1 = 0)
% 25.46/4.22 | | |
% 25.46/4.22 | | | BETA: splitting (66) gives:
% 25.46/4.22 | | |
% 25.46/4.22 | | | Case 1:
% 25.46/4.22 | | | |
% 25.46/4.22 | | | | (82) all_153_4 = 0
% 25.46/4.22 | | | |
% 25.46/4.22 | | | | REF_CLOSE: (1), (2), (3), (4), (7), (15), (16), (17), (18), (22), (24),
% 25.46/4.22 | | | | (26), (28), (31), (32), (33), (34), (35), (36), (37), (38),
% 25.46/4.22 | | | | (39), (40), (41), (49), (50), (53), (56), (57), (58), (62),
% 25.46/4.22 | | | | (63), (64), (68), (69), (70), (72), (73), (74), (75), (82)
% 25.46/4.22 | | | | are inconsistent by sub-proof #1.
% 25.46/4.22 | | | |
% 25.46/4.22 | | | Case 2:
% 25.46/4.22 | | | |
% 25.46/4.22 | | | |
% 25.46/4.22 | | | | GROUND_INST: instantiating (44) with 0, all_201_1, iV822576, simplifying
% 25.46/4.22 | | | | with (23), (79) gives:
% 25.46/4.22 | | | | (83) all_201_1 = 0
% 25.46/4.22 | | | |
% 25.46/4.22 | | | | GROUND_INST: instantiating (45) with 0, all_201_0, iV822576, simplifying
% 25.46/4.22 | | | | with (27), (80) gives:
% 25.46/4.22 | | | | (84) all_201_0 = 0
% 25.46/4.22 | | | |
% 25.46/4.22 | | | | BETA: splitting (81) gives:
% 25.46/4.22 | | | |
% 25.46/4.22 | | | | Case 1:
% 25.46/4.22 | | | | |
% 25.46/4.22 | | | | | (85) ~ (all_201_0 = 0)
% 25.46/4.22 | | | | |
% 25.46/4.22 | | | | | REDUCE: (84), (85) imply:
% 25.46/4.22 | | | | | (86) $false
% 25.46/4.22 | | | | |
% 25.46/4.22 | | | | | CLOSE: (86) is inconsistent.
% 25.46/4.22 | | | | |
% 25.46/4.22 | | | | Case 2:
% 25.46/4.22 | | | | |
% 25.46/4.22 | | | | | (87) ~ (all_201_1 = 0)
% 25.46/4.22 | | | | |
% 25.46/4.22 | | | | | REDUCE: (83), (87) imply:
% 25.46/4.22 | | | | | (88) $false
% 25.46/4.22 | | | | |
% 25.46/4.22 | | | | | CLOSE: (88) is inconsistent.
% 25.46/4.22 | | | | |
% 25.46/4.22 | | | | End of split
% 25.46/4.22 | | | |
% 25.46/4.22 | | | End of split
% 25.46/4.22 | | |
% 25.46/4.22 | | End of split
% 25.46/4.22 | |
% 25.46/4.22 | Case 2:
% 25.46/4.22 | |
% 25.46/4.22 | | (89) ? [v0: any] : ? [v1: any] : (cC78xcomp(iV822576) = v0 &
% 25.46/4.22 | | cC76xcomp(iV822576) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0)))
% 25.46/4.22 | |
% 25.46/4.22 | | DELTA: instantiating (89) with fresh symbols all_197_0, all_197_1 gives:
% 25.46/4.22 | | (90) cC78xcomp(iV822576) = all_197_1 & cC76xcomp(iV822576) = all_197_0 &
% 25.46/4.22 | | ( ~ (all_197_0 = 0) | ~ (all_197_1 = 0))
% 25.46/4.22 | |
% 25.46/4.22 | | ALPHA: (90) implies:
% 25.46/4.22 | | (91) cC76xcomp(iV822576) = all_197_0
% 25.46/4.22 | | (92) cC78xcomp(iV822576) = all_197_1
% 25.46/4.22 | | (93) ~ (all_197_0 = 0) | ~ (all_197_1 = 0)
% 25.46/4.22 | |
% 25.46/4.22 | | BETA: splitting (63) gives:
% 25.46/4.22 | |
% 25.46/4.22 | | Case 1:
% 25.46/4.22 | | |
% 25.46/4.22 | | |
% 25.46/4.22 | | | GROUND_INST: instantiating (42) with 0, all_197_0, iV822576, simplifying
% 25.46/4.22 | | | with (19), (91) gives:
% 25.46/4.22 | | | (94) all_197_0 = 0
% 25.46/4.22 | | |
% 25.46/4.22 | | | GROUND_INST: instantiating (43) with 0, all_197_1, iV822576, simplifying
% 25.46/4.22 | | | with (21), (92) gives:
% 25.46/4.22 | | | (95) all_197_1 = 0
% 25.46/4.22 | | |
% 25.46/4.22 | | | BETA: splitting (93) gives:
% 25.46/4.22 | | |
% 25.46/4.22 | | | Case 1:
% 25.46/4.22 | | | |
% 25.46/4.22 | | | | (96) ~ (all_197_0 = 0)
% 25.46/4.22 | | | |
% 25.46/4.22 | | | | REDUCE: (94), (96) imply:
% 25.46/4.22 | | | | (97) $false
% 25.46/4.22 | | | |
% 25.46/4.22 | | | | CLOSE: (97) is inconsistent.
% 25.46/4.22 | | | |
% 25.46/4.22 | | | Case 2:
% 25.46/4.22 | | | |
% 25.46/4.22 | | | | (98) ~ (all_197_1 = 0)
% 25.46/4.22 | | | |
% 25.46/4.22 | | | | REDUCE: (95), (98) imply:
% 25.46/4.22 | | | | (99) $false
% 25.46/4.22 | | | |
% 25.46/4.22 | | | | CLOSE: (99) is inconsistent.
% 25.46/4.22 | | | |
% 25.46/4.22 | | | End of split
% 25.46/4.22 | | |
% 25.46/4.22 | | Case 2:
% 25.46/4.22 | | |
% 25.46/4.22 | | | (100) ? [v0: any] : ? [v1: any] : (cC4(iV822576) = v0 &
% 25.46/4.22 | | | cC10xcomp(iV822576) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0)))
% 25.46/4.22 | | |
% 25.46/4.22 | | | DELTA: instantiating (100) with fresh symbols all_223_0, all_223_1 gives:
% 25.46/4.22 | | | (101) cC4(iV822576) = all_223_1 & cC10xcomp(iV822576) = all_223_0 & ( ~
% 25.46/4.22 | | | (all_223_0 = 0) | ~ (all_223_1 = 0))
% 25.46/4.22 | | |
% 25.46/4.22 | | | ALPHA: (101) implies:
% 25.46/4.22 | | | (102) cC10xcomp(iV822576) = all_223_0
% 25.46/4.22 | | | (103) cC4(iV822576) = all_223_1
% 25.46/4.22 | | | (104) ~ (all_223_0 = 0) | ~ (all_223_1 = 0)
% 25.46/4.22 | | |
% 25.46/4.22 | | | GROUND_INST: instantiating (32) with 0, all_223_0, iV822576, simplifying
% 25.46/4.22 | | | with (26), (102) gives:
% 25.46/4.22 | | | (105) all_223_0 = 0
% 25.46/4.22 | | |
% 25.46/4.22 | | | GROUND_INST: instantiating (35) with 0, all_223_1, iV822576, simplifying
% 25.46/4.22 | | | with (17), (103) gives:
% 25.46/4.22 | | | (106) all_223_1 = 0
% 25.46/4.22 | | |
% 25.46/4.22 | | | BETA: splitting (104) gives:
% 25.46/4.22 | | |
% 25.46/4.22 | | | Case 1:
% 25.46/4.22 | | | |
% 25.46/4.22 | | | | (107) ~ (all_223_0 = 0)
% 25.46/4.22 | | | |
% 25.46/4.22 | | | | REDUCE: (105), (107) imply:
% 25.46/4.22 | | | | (108) $false
% 25.46/4.22 | | | |
% 25.46/4.22 | | | | CLOSE: (108) is inconsistent.
% 25.46/4.22 | | | |
% 25.46/4.22 | | | Case 2:
% 25.46/4.22 | | | |
% 25.46/4.22 | | | | (109) ~ (all_223_1 = 0)
% 25.46/4.22 | | | |
% 25.46/4.22 | | | | REDUCE: (106), (109) imply:
% 25.46/4.22 | | | | (110) $false
% 25.46/4.22 | | | |
% 25.46/4.22 | | | | CLOSE: (110) is inconsistent.
% 25.46/4.22 | | | |
% 25.46/4.22 | | | End of split
% 25.46/4.22 | | |
% 25.46/4.22 | | End of split
% 25.46/4.22 | |
% 25.46/4.22 | End of split
% 25.46/4.22 |
% 25.46/4.22 End of proof
% 25.46/4.22
% 25.46/4.22 Sub-proof #1 shows that the following formulas are inconsistent:
% 25.46/4.22 ----------------------------------------------------------------
% 25.46/4.22 (1) ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] :
% 25.46/4.22 (v1 = v0 | ~ (cC108xcomp(v2) = v1) | ~ (cC108xcomp(v2) = v0))
% 25.46/4.22 (2) ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] :
% 25.46/4.22 (v1 = v0 | ~ (cC34(v2) = v1) | ~ (cC34(v2) = v0))
% 25.46/4.22 (3) cC34(iV822576) = 0
% 25.46/4.22 (4) cC102xcomp(iV822576) = 0
% 25.46/4.22 (5) ~ (all_189_1 = 0) | all_189_0 = 0
% 25.46/4.22 (6) cC10xcomp(iV822576) = 0
% 25.46/4.22 (7) ! [v0: $i] : ! [v1: int] : (v1 = 0 | ~ (cowlThing(v0) = v1) | ~
% 25.46/4.22 $i(v0))
% 25.46/4.22 (8) cC116(iV822576) = all_191_1
% 25.46/4.22 (9) cC134xcomp(iV822576) = 0
% 25.46/4.23 (10) ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] :
% 25.46/4.23 (v1 = v0 | ~ (cC134xcomp(v2) = v1) | ~ (cC134xcomp(v2) = v0))
% 25.46/4.23 (11) cC112xcomp(iV822576) = 0
% 25.46/4.23 (12) cC80(iV822576) = 0
% 25.46/4.23 (13) cC114(iV822576) = all_189_0
% 25.46/4.23 (14) ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] :
% 25.46/4.23 (v1 = v0 | ~ (cC112xcomp(v2) = v1) | ~ (cC112xcomp(v2) = v0))
% 25.46/4.23 (15) cC56(iV822576) = all_153_0
% 25.46/4.23 (16) cC114(iV822576) = all_191_0
% 25.46/4.23 (17) ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] :
% 25.46/4.23 (v1 = v0 | ~ (cC4(v2) = v1) | ~ (cC4(v2) = v0))
% 25.46/4.23 (18) ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] :
% 25.46/4.23 (v1 = v0 | ~ (xsd_integer(v2) = v1) | ~ (xsd_integer(v2) = v0))
% 25.46/4.23 (19) ! [v0: $i] : ( ~ (cC80(v0) = 0) | ~ $i(v0) | ? [v1: any] : ? [v2:
% 25.46/4.23 any] : (cC116(v0) = v2 & cC114(v0) = v1 & ( ~ (v1 = 0) | v2 = 0)))
% 25.46/4.23 (20) cC108xcomp(iV822576) = 0
% 25.46/4.23 (21) cC112xcomp(iV822576) = all_189_1
% 25.46/4.23 (22) $i(iV822576)
% 25.46/4.23 (23) all_153_4 = 0
% 25.46/4.23 (24) all_153_1 = 0 | ? [v0: any] : ? [v1: any] : (cC134xcomp(iV822576) = v0
% 25.46/4.23 & cC116(iV822576) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0)))
% 25.46/4.23 (25) all_153_3 = 0
% 25.46/4.23 (26) ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] :
% 25.46/4.23 (v1 = v0 | ~ (cC56(v2) = v1) | ~ (cC56(v2) = v0))
% 25.46/4.23 (27) ~ (all_153_0 = 0) | ~ (all_153_1 = 0) | ~ (all_153_2 = 0) | ~
% 25.46/4.23 (all_153_3 = 0) | ~ (all_153_4 = 0) | ~ (all_153_5 = 0) | ~
% 25.46/4.23 (all_153_6 = 0) | ~ (all_153_7 = 0) | ~ (all_153_8 = 0) | ? [v0: $i]
% 25.46/4.23 : ? [v1: any] : ? [v2: any] : (xsd_string(v0) = v1 & xsd_integer(v0) =
% 25.46/4.23 v2 & $i(v0) & ((v2 = 0 & v1 = 0) | ( ~ (v2 = 0) & ~ (v1 = 0)))) | ?
% 25.46/4.23 [v0: $i] : ? [v1: any] : ? [v2: any] : (cowlNothing(v0) = v2 &
% 25.46/4.23 cowlThing(v0) = v1 & $i(v0) & ( ~ (v1 = 0) | v2 = 0))
% 25.46/4.23 (28) cC4(iV822576) = 0
% 25.46/4.23 (29) ! [v0: $i] : ( ~ (cowlNothing(v0) = 0) | ~ $i(v0))
% 25.46/4.23 (30) ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] :
% 25.46/4.23 (v1 = v0 | ~ (cC116(v2) = v1) | ~ (cC116(v2) = v0))
% 25.46/4.23 (31) all_153_0 = 0 | ? [v0: any] : ? [v1: any] : (cC4(iV822576) = v0 &
% 25.46/4.23 cC10xcomp(iV822576) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0)))
% 25.46/4.23 (32) all_153_2 = 0 | ? [v0: any] : ? [v1: any] : (cC108xcomp(iV822576) = v1
% 25.46/4.23 & cC102xcomp(iV822576) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0)))
% 25.46/4.23 (33) ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] :
% 25.46/4.23 (v1 = v0 | ~ (cC10xcomp(v2) = v1) | ~ (cC10xcomp(v2) = v0))
% 25.46/4.23 (34) ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] :
% 25.46/4.23 (v1 = v0 | ~ (cC114(v2) = v1) | ~ (cC114(v2) = v0))
% 25.46/4.23 (35) all_153_5 = 0
% 25.46/4.23 (36) cC114(iV822576) = all_153_6
% 25.46/4.23 (37) cC116(iV822576) = all_153_7
% 25.46/4.23 (38) all_153_8 = 0 | ? [v0: any] : ? [v1: any] : (cC56(iV822576) = v1 &
% 25.46/4.23 cC34(iV822576) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0)))
% 25.46/4.23 (39) ! [v0: $i] : ( ~ (xsd_string(v0) = 0) | ~ $i(v0) | ? [v1: int] : ( ~
% 25.46/4.23 (v1 = 0) & xsd_integer(v0) = v1))
% 25.46/4.23 (40) ! [v0: $i] : ! [v1: int] : (v1 = 0 | ~ (xsd_string(v0) = v1) | ~
% 25.46/4.23 $i(v0) | xsd_integer(v0) = 0)
% 25.46/4.23 (41) ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] :
% 25.46/4.23 (v1 = v0 | ~ (cC102xcomp(v2) = v1) | ~ (cC102xcomp(v2) = v0))
% 25.46/4.23
% 25.46/4.23 Begin of proof
% 25.46/4.23 |
% 25.46/4.23 | BETA: splitting (31) gives:
% 25.46/4.23 |
% 25.46/4.23 | Case 1:
% 25.46/4.23 | |
% 25.46/4.23 | | (42) all_153_0 = 0
% 25.46/4.23 | |
% 25.46/4.23 | | REDUCE: (15), (42) imply:
% 25.46/4.23 | | (43) cC56(iV822576) = 0
% 25.46/4.23 | |
% 25.46/4.23 | | BETA: splitting (38) gives:
% 25.46/4.23 | |
% 25.46/4.23 | | Case 1:
% 25.46/4.23 | | |
% 25.46/4.23 | | | (44) all_153_8 = 0
% 25.46/4.23 | | |
% 25.46/4.23 | | | BETA: splitting (32) gives:
% 25.46/4.23 | | |
% 25.46/4.23 | | | Case 1:
% 25.46/4.23 | | | |
% 25.46/4.23 | | | | (45) all_153_2 = 0
% 25.46/4.23 | | | |
% 25.46/4.23 | | | | GROUND_INST: instantiating (14) with 0, all_189_1, iV822576, simplifying
% 25.46/4.23 | | | | with (11), (21) gives:
% 25.46/4.23 | | | | (46) all_189_1 = 0
% 25.46/4.23 | | | |
% 25.46/4.23 | | | | GROUND_INST: instantiating (34) with all_153_6, all_191_0, iV822576,
% 25.46/4.23 | | | | simplifying with (16), (36) gives:
% 25.46/4.23 | | | | (47) all_191_0 = all_153_6
% 25.46/4.23 | | | |
% 25.46/4.23 | | | | GROUND_INST: instantiating (34) with all_189_0, all_191_0, iV822576,
% 25.46/4.23 | | | | simplifying with (13), (16) gives:
% 25.46/4.23 | | | | (48) all_191_0 = all_189_0
% 25.46/4.23 | | | |
% 25.46/4.23 | | | | GROUND_INST: instantiating (30) with all_153_7, all_191_1, iV822576,
% 25.46/4.23 | | | | simplifying with (8), (37) gives:
% 25.46/4.23 | | | | (49) all_191_1 = all_153_7
% 25.46/4.23 | | | |
% 25.46/4.23 | | | | COMBINE_EQS: (47), (48) imply:
% 25.46/4.23 | | | | (50) all_189_0 = all_153_6
% 25.46/4.23 | | | |
% 25.46/4.23 | | | | BETA: splitting (5) gives:
% 25.46/4.23 | | | |
% 25.46/4.23 | | | | Case 1:
% 25.46/4.23 | | | | |
% 25.46/4.23 | | | | | (51) ~ (all_189_1 = 0)
% 25.46/4.23 | | | | |
% 25.46/4.23 | | | | | REDUCE: (46), (51) imply:
% 25.46/4.23 | | | | | (52) $false
% 25.46/4.23 | | | | |
% 25.46/4.23 | | | | | CLOSE: (52) is inconsistent.
% 25.46/4.23 | | | | |
% 25.46/4.23 | | | | Case 2:
% 25.46/4.23 | | | | |
% 25.46/4.23 | | | | | (53) all_189_0 = 0
% 25.46/4.23 | | | | |
% 25.46/4.23 | | | | | COMBINE_EQS: (50), (53) imply:
% 25.46/4.23 | | | | | (54) all_153_6 = 0
% 25.46/4.23 | | | | |
% 25.46/4.23 | | | | | REDUCE: (36), (54) imply:
% 25.46/4.23 | | | | | (55) cC114(iV822576) = 0
% 25.46/4.23 | | | | |
% 25.46/4.23 | | | | | GROUND_INST: instantiating (19) with iV822576, simplifying with (12),
% 25.46/4.23 | | | | | (22) gives:
% 25.46/4.23 | | | | | (56) ? [v0: any] : ? [v1: any] : (cC116(iV822576) = v1 &
% 25.46/4.23 | | | | | cC114(iV822576) = v0 & ( ~ (v0 = 0) | v1 = 0))
% 25.46/4.23 | | | | |
% 25.46/4.23 | | | | | DELTA: instantiating (56) with fresh symbols all_229_0, all_229_1
% 25.46/4.23 | | | | | gives:
% 25.46/4.23 | | | | | (57) cC116(iV822576) = all_229_0 & cC114(iV822576) = all_229_1 & (
% 25.46/4.23 | | | | | ~ (all_229_1 = 0) | all_229_0 = 0)
% 25.46/4.23 | | | | |
% 25.46/4.24 | | | | | ALPHA: (57) implies:
% 25.46/4.24 | | | | | (58) cC114(iV822576) = all_229_1
% 25.46/4.24 | | | | | (59) cC116(iV822576) = all_229_0
% 25.46/4.24 | | | | | (60) ~ (all_229_1 = 0) | all_229_0 = 0
% 25.46/4.24 | | | | |
% 25.46/4.24 | | | | | GROUND_INST: instantiating (34) with 0, all_229_1, iV822576,
% 25.46/4.24 | | | | | simplifying with (55), (58) gives:
% 25.46/4.24 | | | | | (61) all_229_1 = 0
% 25.46/4.24 | | | | |
% 25.46/4.24 | | | | | GROUND_INST: instantiating (30) with all_153_7, all_229_0, iV822576,
% 25.46/4.24 | | | | | simplifying with (37), (59) gives:
% 25.46/4.24 | | | | | (62) all_229_0 = all_153_7
% 25.46/4.24 | | | | |
% 25.46/4.24 | | | | | BETA: splitting (60) gives:
% 25.46/4.24 | | | | |
% 25.46/4.24 | | | | | Case 1:
% 25.46/4.24 | | | | | |
% 25.46/4.24 | | | | | | (63) ~ (all_229_1 = 0)
% 25.46/4.24 | | | | | |
% 25.46/4.24 | | | | | | REDUCE: (61), (63) imply:
% 25.46/4.24 | | | | | | (64) $false
% 25.46/4.24 | | | | | |
% 25.46/4.24 | | | | | | CLOSE: (64) is inconsistent.
% 25.46/4.24 | | | | | |
% 25.46/4.24 | | | | | Case 2:
% 25.46/4.24 | | | | | |
% 25.46/4.24 | | | | | | (65) all_229_0 = 0
% 25.46/4.24 | | | | | |
% 25.46/4.24 | | | | | | COMBINE_EQS: (62), (65) imply:
% 25.46/4.24 | | | | | | (66) all_153_7 = 0
% 25.46/4.24 | | | | | |
% 25.46/4.24 | | | | | | REDUCE: (37), (66) imply:
% 25.46/4.24 | | | | | | (67) cC116(iV822576) = 0
% 25.46/4.24 | | | | | |
% 25.46/4.24 | | | | | | BETA: splitting (24) gives:
% 25.46/4.24 | | | | | |
% 25.46/4.24 | | | | | | Case 1:
% 25.46/4.24 | | | | | | |
% 25.46/4.24 | | | | | | | (68) all_153_1 = 0
% 25.46/4.24 | | | | | | |
% 25.46/4.24 | | | | | | | BETA: splitting (27) gives:
% 25.46/4.24 | | | | | | |
% 25.46/4.24 | | | | | | | Case 1:
% 25.46/4.24 | | | | | | | |
% 25.46/4.24 | | | | | | | | (69) ~ (all_153_0 = 0)
% 25.46/4.24 | | | | | | | |
% 25.46/4.24 | | | | | | | | REDUCE: (42), (69) imply:
% 25.46/4.24 | | | | | | | | (70) $false
% 25.46/4.24 | | | | | | | |
% 25.46/4.24 | | | | | | | | CLOSE: (70) is inconsistent.
% 25.46/4.24 | | | | | | | |
% 25.46/4.24 | | | | | | | Case 2:
% 25.46/4.24 | | | | | | | |
% 25.46/4.24 | | | | | | | | (71) ~ (all_153_1 = 0) | ~ (all_153_2 = 0) | ~ (all_153_3
% 25.46/4.24 | | | | | | | | = 0) | ~ (all_153_4 = 0) | ~ (all_153_5 = 0) | ~
% 25.46/4.24 | | | | | | | | (all_153_6 = 0) | ~ (all_153_7 = 0) | ~ (all_153_8 =
% 25.46/4.24 | | | | | | | | 0) | ? [v0: $i] : ? [v1: any] : ? [v2: any] :
% 25.46/4.24 | | | | | | | | (xsd_string(v0) = v1 & xsd_integer(v0) = v2 & $i(v0) &
% 25.46/4.24 | | | | | | | | ((v2 = 0 & v1 = 0) | ( ~ (v2 = 0) & ~ (v1 = 0)))) |
% 25.46/4.24 | | | | | | | | ? [v0: $i] : ? [v1: any] : ? [v2: any] :
% 25.46/4.24 | | | | | | | | (cowlNothing(v0) = v2 & cowlThing(v0) = v1 & $i(v0) & (
% 25.46/4.24 | | | | | | | | ~ (v1 = 0) | v2 = 0))
% 25.46/4.24 | | | | | | | |
% 25.46/4.24 | | | | | | | | BETA: splitting (71) gives:
% 25.46/4.24 | | | | | | | |
% 25.46/4.24 | | | | | | | | Case 1:
% 25.46/4.24 | | | | | | | | |
% 25.46/4.24 | | | | | | | | | (72) ~ (all_153_1 = 0)
% 25.46/4.24 | | | | | | | | |
% 25.46/4.24 | | | | | | | | | REDUCE: (68), (72) imply:
% 25.46/4.24 | | | | | | | | | (73) $false
% 25.46/4.24 | | | | | | | | |
% 25.46/4.24 | | | | | | | | | CLOSE: (73) is inconsistent.
% 25.46/4.24 | | | | | | | | |
% 25.46/4.24 | | | | | | | | Case 2:
% 25.46/4.24 | | | | | | | | |
% 25.46/4.24 | | | | | | | | | (74) ~ (all_153_2 = 0) | ~ (all_153_3 = 0) | ~
% 25.46/4.24 | | | | | | | | | (all_153_4 = 0) | ~ (all_153_5 = 0) | ~ (all_153_6 =
% 25.46/4.24 | | | | | | | | | 0) | ~ (all_153_7 = 0) | ~ (all_153_8 = 0) | ?
% 25.46/4.24 | | | | | | | | | [v0: $i] : ? [v1: any] : ? [v2: any] :
% 25.46/4.24 | | | | | | | | | (xsd_string(v0) = v1 & xsd_integer(v0) = v2 & $i(v0) &
% 25.46/4.24 | | | | | | | | | ((v2 = 0 & v1 = 0) | ( ~ (v2 = 0) & ~ (v1 = 0)))) |
% 25.46/4.24 | | | | | | | | | ? [v0: $i] : ? [v1: any] : ? [v2: any] :
% 25.46/4.24 | | | | | | | | | (cowlNothing(v0) = v2 & cowlThing(v0) = v1 & $i(v0) &
% 25.46/4.24 | | | | | | | | | ( ~ (v1 = 0) | v2 = 0))
% 25.46/4.24 | | | | | | | | |
% 25.46/4.24 | | | | | | | | | BETA: splitting (74) gives:
% 25.46/4.24 | | | | | | | | |
% 25.46/4.24 | | | | | | | | | Case 1:
% 25.46/4.24 | | | | | | | | | |
% 25.46/4.24 | | | | | | | | | | (75) ~ (all_153_2 = 0)
% 25.46/4.24 | | | | | | | | | |
% 25.46/4.24 | | | | | | | | | | REDUCE: (45), (75) imply:
% 25.46/4.24 | | | | | | | | | | (76) $false
% 25.46/4.24 | | | | | | | | | |
% 25.46/4.24 | | | | | | | | | | CLOSE: (76) is inconsistent.
% 25.46/4.24 | | | | | | | | | |
% 25.46/4.24 | | | | | | | | | Case 2:
% 25.46/4.24 | | | | | | | | | |
% 25.46/4.24 | | | | | | | | | | (77) ~ (all_153_3 = 0) | ~ (all_153_4 = 0) | ~
% 25.46/4.24 | | | | | | | | | | (all_153_5 = 0) | ~ (all_153_6 = 0) | ~ (all_153_7
% 25.46/4.24 | | | | | | | | | | = 0) | ~ (all_153_8 = 0) | ? [v0: $i] : ? [v1:
% 25.46/4.24 | | | | | | | | | | any] : ? [v2: any] : (xsd_string(v0) = v1 &
% 25.46/4.24 | | | | | | | | | | xsd_integer(v0) = v2 & $i(v0) & ((v2 = 0 & v1 = 0)
% 25.46/4.24 | | | | | | | | | | | ( ~ (v2 = 0) & ~ (v1 = 0)))) | ? [v0: $i] :
% 25.46/4.24 | | | | | | | | | | ? [v1: any] : ? [v2: any] : (cowlNothing(v0) = v2 &
% 25.46/4.24 | | | | | | | | | | cowlThing(v0) = v1 & $i(v0) & ( ~ (v1 = 0) | v2 =
% 25.46/4.24 | | | | | | | | | | 0))
% 25.46/4.24 | | | | | | | | | |
% 25.46/4.24 | | | | | | | | | | BETA: splitting (77) gives:
% 25.46/4.24 | | | | | | | | | |
% 25.46/4.24 | | | | | | | | | | Case 1:
% 25.46/4.24 | | | | | | | | | | |
% 25.46/4.24 | | | | | | | | | | | (78) ~ (all_153_3 = 0)
% 25.46/4.24 | | | | | | | | | | |
% 25.46/4.24 | | | | | | | | | | | REDUCE: (25), (78) imply:
% 25.46/4.24 | | | | | | | | | | | (79) $false
% 25.46/4.24 | | | | | | | | | | |
% 25.46/4.24 | | | | | | | | | | | CLOSE: (79) is inconsistent.
% 25.46/4.24 | | | | | | | | | | |
% 25.46/4.24 | | | | | | | | | | Case 2:
% 25.46/4.24 | | | | | | | | | | |
% 25.46/4.24 | | | | | | | | | | | (80) ~ (all_153_4 = 0) | ~ (all_153_5 = 0) | ~
% 25.46/4.24 | | | | | | | | | | | (all_153_6 = 0) | ~ (all_153_7 = 0) | ~
% 25.46/4.24 | | | | | | | | | | | (all_153_8 = 0) | ? [v0: $i] : ? [v1: any] : ?
% 25.46/4.24 | | | | | | | | | | | [v2: any] : (xsd_string(v0) = v1 & xsd_integer(v0)
% 25.46/4.24 | | | | | | | | | | | = v2 & $i(v0) & ((v2 = 0 & v1 = 0) | ( ~ (v2 =
% 25.46/4.24 | | | | | | | | | | | 0) & ~ (v1 = 0)))) | ? [v0: $i] : ?
% 25.46/4.24 | | | | | | | | | | | [v1: any] : ? [v2: any] : (cowlNothing(v0) = v2 &
% 25.46/4.24 | | | | | | | | | | | cowlThing(v0) = v1 & $i(v0) & ( ~ (v1 = 0) | v2
% 25.46/4.24 | | | | | | | | | | | = 0))
% 25.46/4.24 | | | | | | | | | | |
% 25.46/4.24 | | | | | | | | | | | BETA: splitting (80) gives:
% 25.46/4.24 | | | | | | | | | | |
% 25.46/4.24 | | | | | | | | | | | Case 1:
% 25.46/4.24 | | | | | | | | | | | |
% 25.46/4.24 | | | | | | | | | | | | (81) ~ (all_153_4 = 0)
% 25.46/4.24 | | | | | | | | | | | |
% 25.46/4.24 | | | | | | | | | | | | REDUCE: (23), (81) imply:
% 25.46/4.24 | | | | | | | | | | | | (82) $false
% 25.46/4.24 | | | | | | | | | | | |
% 25.46/4.24 | | | | | | | | | | | | CLOSE: (82) is inconsistent.
% 25.46/4.24 | | | | | | | | | | | |
% 25.46/4.24 | | | | | | | | | | | Case 2:
% 25.46/4.24 | | | | | | | | | | | |
% 25.46/4.24 | | | | | | | | | | | | (83) ~ (all_153_5 = 0) | ~ (all_153_6 = 0) | ~
% 25.46/4.24 | | | | | | | | | | | | (all_153_7 = 0) | ~ (all_153_8 = 0) | ? [v0: $i]
% 25.46/4.24 | | | | | | | | | | | | : ? [v1: any] : ? [v2: any] : (xsd_string(v0) =
% 25.46/4.24 | | | | | | | | | | | | v1 & xsd_integer(v0) = v2 & $i(v0) & ((v2 = 0 &
% 25.46/4.24 | | | | | | | | | | | | v1 = 0) | ( ~ (v2 = 0) & ~ (v1 = 0)))) | ?
% 25.46/4.24 | | | | | | | | | | | | [v0: $i] : ? [v1: any] : ? [v2: any] :
% 25.46/4.24 | | | | | | | | | | | | (cowlNothing(v0) = v2 & cowlThing(v0) = v1 &
% 25.46/4.24 | | | | | | | | | | | | $i(v0) & ( ~ (v1 = 0) | v2 = 0))
% 25.46/4.24 | | | | | | | | | | | |
% 25.46/4.24 | | | | | | | | | | | | BETA: splitting (83) gives:
% 25.46/4.24 | | | | | | | | | | | |
% 25.46/4.24 | | | | | | | | | | | | Case 1:
% 25.46/4.24 | | | | | | | | | | | | |
% 25.46/4.24 | | | | | | | | | | | | | (84) ~ (all_153_5 = 0)
% 25.46/4.24 | | | | | | | | | | | | |
% 25.46/4.24 | | | | | | | | | | | | | REDUCE: (35), (84) imply:
% 25.46/4.24 | | | | | | | | | | | | | (85) $false
% 25.46/4.24 | | | | | | | | | | | | |
% 25.46/4.24 | | | | | | | | | | | | | CLOSE: (85) is inconsistent.
% 25.46/4.24 | | | | | | | | | | | | |
% 25.46/4.24 | | | | | | | | | | | | Case 2:
% 25.46/4.24 | | | | | | | | | | | | |
% 25.46/4.24 | | | | | | | | | | | | | (86) ~ (all_153_6 = 0) | ~ (all_153_7 = 0) | ~
% 25.46/4.24 | | | | | | | | | | | | | (all_153_8 = 0) | ? [v0: $i] : ? [v1: any] : ?
% 25.46/4.24 | | | | | | | | | | | | | [v2: any] : (xsd_string(v0) = v1 & xsd_integer(v0)
% 25.46/4.24 | | | | | | | | | | | | | = v2 & $i(v0) & ((v2 = 0 & v1 = 0) | ( ~ (v2 =
% 25.46/4.24 | | | | | | | | | | | | | 0) & ~ (v1 = 0)))) | ? [v0: $i] : ?
% 25.46/4.24 | | | | | | | | | | | | | [v1: any] : ? [v2: any] : (cowlNothing(v0) = v2 &
% 25.46/4.24 | | | | | | | | | | | | | cowlThing(v0) = v1 & $i(v0) & ( ~ (v1 = 0) | v2
% 25.46/4.24 | | | | | | | | | | | | | = 0))
% 25.46/4.24 | | | | | | | | | | | | |
% 25.46/4.24 | | | | | | | | | | | | | BETA: splitting (86) gives:
% 25.46/4.24 | | | | | | | | | | | | |
% 25.46/4.24 | | | | | | | | | | | | | Case 1:
% 25.46/4.24 | | | | | | | | | | | | | |
% 25.46/4.24 | | | | | | | | | | | | | | (87) ~ (all_153_6 = 0)
% 25.46/4.24 | | | | | | | | | | | | | |
% 25.46/4.24 | | | | | | | | | | | | | | REDUCE: (54), (87) imply:
% 25.46/4.24 | | | | | | | | | | | | | | (88) $false
% 25.46/4.24 | | | | | | | | | | | | | |
% 25.46/4.24 | | | | | | | | | | | | | | CLOSE: (88) is inconsistent.
% 25.46/4.24 | | | | | | | | | | | | | |
% 25.46/4.24 | | | | | | | | | | | | | Case 2:
% 25.46/4.24 | | | | | | | | | | | | | |
% 25.46/4.24 | | | | | | | | | | | | | | (89) ~ (all_153_7 = 0) | ~ (all_153_8 = 0) | ? [v0:
% 25.46/4.24 | | | | | | | | | | | | | | $i] : ? [v1: any] : ? [v2: any] :
% 25.46/4.24 | | | | | | | | | | | | | | (xsd_string(v0) = v1 & xsd_integer(v0) = v2 &
% 25.46/4.24 | | | | | | | | | | | | | | $i(v0) & ((v2 = 0 & v1 = 0) | ( ~ (v2 = 0) & ~
% 25.46/4.24 | | | | | | | | | | | | | | (v1 = 0)))) | ? [v0: $i] : ? [v1: any] :
% 25.46/4.24 | | | | | | | | | | | | | | ? [v2: any] : (cowlNothing(v0) = v2 &
% 25.46/4.24 | | | | | | | | | | | | | | cowlThing(v0) = v1 & $i(v0) & ( ~ (v1 = 0) | v2
% 25.46/4.24 | | | | | | | | | | | | | | = 0))
% 25.46/4.24 | | | | | | | | | | | | | |
% 25.46/4.24 | | | | | | | | | | | | | | BETA: splitting (89) gives:
% 25.46/4.24 | | | | | | | | | | | | | |
% 25.46/4.24 | | | | | | | | | | | | | | Case 1:
% 25.46/4.24 | | | | | | | | | | | | | | |
% 25.46/4.24 | | | | | | | | | | | | | | | (90) ~ (all_153_7 = 0)
% 25.46/4.24 | | | | | | | | | | | | | | |
% 25.46/4.25 | | | | | | | | | | | | | | | REDUCE: (66), (90) imply:
% 25.46/4.25 | | | | | | | | | | | | | | | (91) $false
% 25.46/4.25 | | | | | | | | | | | | | | |
% 25.46/4.25 | | | | | | | | | | | | | | | CLOSE: (91) is inconsistent.
% 25.46/4.25 | | | | | | | | | | | | | | |
% 25.46/4.25 | | | | | | | | | | | | | | Case 2:
% 25.46/4.25 | | | | | | | | | | | | | | |
% 25.46/4.25 | | | | | | | | | | | | | | | (92) ~ (all_153_8 = 0) | ? [v0: $i] : ? [v1: any] :
% 25.46/4.25 | | | | | | | | | | | | | | | ? [v2: any] : (xsd_string(v0) = v1 &
% 25.46/4.25 | | | | | | | | | | | | | | | xsd_integer(v0) = v2 & $i(v0) & ((v2 = 0 & v1 =
% 25.46/4.25 | | | | | | | | | | | | | | | 0) | ( ~ (v2 = 0) & ~ (v1 = 0)))) | ? [v0:
% 25.46/4.25 | | | | | | | | | | | | | | | $i] : ? [v1: any] : ? [v2: any] :
% 25.46/4.25 | | | | | | | | | | | | | | | (cowlNothing(v0) = v2 & cowlThing(v0) = v1 &
% 25.46/4.25 | | | | | | | | | | | | | | | $i(v0) & ( ~ (v1 = 0) | v2 = 0))
% 25.46/4.25 | | | | | | | | | | | | | | |
% 25.46/4.25 | | | | | | | | | | | | | | | BETA: splitting (92) gives:
% 25.46/4.25 | | | | | | | | | | | | | | |
% 25.46/4.25 | | | | | | | | | | | | | | | Case 1:
% 25.46/4.25 | | | | | | | | | | | | | | | |
% 25.46/4.25 | | | | | | | | | | | | | | | | (93) ~ (all_153_8 = 0)
% 25.46/4.25 | | | | | | | | | | | | | | | |
% 25.46/4.25 | | | | | | | | | | | | | | | | REDUCE: (44), (93) imply:
% 25.46/4.25 | | | | | | | | | | | | | | | | (94) $false
% 25.46/4.25 | | | | | | | | | | | | | | | |
% 25.46/4.25 | | | | | | | | | | | | | | | | CLOSE: (94) is inconsistent.
% 25.46/4.25 | | | | | | | | | | | | | | | |
% 25.46/4.25 | | | | | | | | | | | | | | | Case 2:
% 25.46/4.25 | | | | | | | | | | | | | | | |
% 25.46/4.25 | | | | | | | | | | | | | | | | (95) ? [v0: $i] : ? [v1: any] : ? [v2: any] :
% 25.46/4.25 | | | | | | | | | | | | | | | | (xsd_string(v0) = v1 & xsd_integer(v0) = v2 &
% 25.46/4.25 | | | | | | | | | | | | | | | | $i(v0) & ((v2 = 0 & v1 = 0) | ( ~ (v2 = 0) & ~
% 25.46/4.25 | | | | | | | | | | | | | | | | (v1 = 0)))) | ? [v0: $i] : ? [v1: any] :
% 25.46/4.25 | | | | | | | | | | | | | | | | ? [v2: any] : (cowlNothing(v0) = v2 &
% 25.46/4.25 | | | | | | | | | | | | | | | | cowlThing(v0) = v1 & $i(v0) & ( ~ (v1 = 0) | v2
% 25.46/4.25 | | | | | | | | | | | | | | | | = 0))
% 25.46/4.25 | | | | | | | | | | | | | | | |
% 25.46/4.25 | | | | | | | | | | | | | | | | BETA: splitting (95) gives:
% 25.46/4.25 | | | | | | | | | | | | | | | |
% 25.46/4.25 | | | | | | | | | | | | | | | | Case 1:
% 25.46/4.25 | | | | | | | | | | | | | | | | |
% 25.46/4.25 | | | | | | | | | | | | | | | | | (96) ? [v0: $i] : ? [v1: any] : ? [v2: any] :
% 25.46/4.25 | | | | | | | | | | | | | | | | | (xsd_string(v0) = v1 & xsd_integer(v0) = v2 &
% 25.46/4.25 | | | | | | | | | | | | | | | | | $i(v0) & ((v2 = 0 & v1 = 0) | ( ~ (v2 = 0) & ~
% 25.46/4.25 | | | | | | | | | | | | | | | | | (v1 = 0))))
% 25.46/4.25 | | | | | | | | | | | | | | | | |
% 25.46/4.25 | | | | | | | | | | | | | | | | | DELTA: instantiating (96) with fresh symbols all_315_0,
% 25.46/4.25 | | | | | | | | | | | | | | | | | all_315_1, all_315_2 gives:
% 25.46/4.25 | | | | | | | | | | | | | | | | | (97) xsd_string(all_315_2) = all_315_1 &
% 25.46/4.25 | | | | | | | | | | | | | | | | | xsd_integer(all_315_2) = all_315_0 & $i(all_315_2)
% 25.46/4.25 | | | | | | | | | | | | | | | | | & ((all_315_0 = 0 & all_315_1 = 0) | ( ~
% 25.46/4.25 | | | | | | | | | | | | | | | | | (all_315_0 = 0) & ~ (all_315_1 = 0)))
% 25.46/4.25 | | | | | | | | | | | | | | | | |
% 25.46/4.25 | | | | | | | | | | | | | | | | | ALPHA: (97) implies:
% 25.46/4.25 | | | | | | | | | | | | | | | | | (98) $i(all_315_2)
% 25.46/4.25 | | | | | | | | | | | | | | | | | (99) xsd_integer(all_315_2) = all_315_0
% 25.46/4.25 | | | | | | | | | | | | | | | | | (100) xsd_string(all_315_2) = all_315_1
% 25.46/4.25 | | | | | | | | | | | | | | | | | (101) (all_315_0 = 0 & all_315_1 = 0) | ( ~ (all_315_0 =
% 25.46/4.25 | | | | | | | | | | | | | | | | | 0) & ~ (all_315_1 = 0))
% 25.46/4.25 | | | | | | | | | | | | | | | | |
% 25.46/4.25 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (40) with all_315_2, all_315_1,
% 25.46/4.25 | | | | | | | | | | | | | | | | | simplifying with (98), (100) gives:
% 25.46/4.25 | | | | | | | | | | | | | | | | | (102) all_315_1 = 0 | xsd_integer(all_315_2) = 0
% 25.46/4.25 | | | | | | | | | | | | | | | | |
% 25.46/4.25 | | | | | | | | | | | | | | | | | BETA: splitting (101) gives:
% 25.46/4.25 | | | | | | | | | | | | | | | | |
% 25.46/4.25 | | | | | | | | | | | | | | | | | Case 1:
% 25.46/4.25 | | | | | | | | | | | | | | | | | |
% 25.46/4.25 | | | | | | | | | | | | | | | | | | (103) all_315_0 = 0 & all_315_1 = 0
% 25.46/4.25 | | | | | | | | | | | | | | | | | |
% 25.46/4.25 | | | | | | | | | | | | | | | | | | ALPHA: (103) implies:
% 25.46/4.25 | | | | | | | | | | | | | | | | | | (104) all_315_1 = 0
% 25.46/4.25 | | | | | | | | | | | | | | | | | | (105) all_315_0 = 0
% 25.46/4.25 | | | | | | | | | | | | | | | | | |
% 25.46/4.25 | | | | | | | | | | | | | | | | | | REDUCE: (100), (104) imply:
% 25.46/4.25 | | | | | | | | | | | | | | | | | | (106) xsd_string(all_315_2) = 0
% 25.46/4.25 | | | | | | | | | | | | | | | | | |
% 25.46/4.25 | | | | | | | | | | | | | | | | | | REDUCE: (99), (105) imply:
% 25.46/4.25 | | | | | | | | | | | | | | | | | | (107) xsd_integer(all_315_2) = 0
% 25.46/4.25 | | | | | | | | | | | | | | | | | |
% 25.46/4.25 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (39) with all_315_2, simplifying
% 25.46/4.25 | | | | | | | | | | | | | | | | | | with (98), (106) gives:
% 25.46/4.25 | | | | | | | | | | | | | | | | | | (108) ? [v0: int] : ( ~ (v0 = 0) &
% 25.46/4.25 | | | | | | | | | | | | | | | | | | xsd_integer(all_315_2) = v0)
% 25.46/4.25 | | | | | | | | | | | | | | | | | |
% 25.46/4.25 | | | | | | | | | | | | | | | | | | DELTA: instantiating (108) with fresh symbol all_329_0
% 25.46/4.25 | | | | | | | | | | | | | | | | | | gives:
% 25.46/4.25 | | | | | | | | | | | | | | | | | | (109) ~ (all_329_0 = 0) & xsd_integer(all_315_2) =
% 25.46/4.25 | | | | | | | | | | | | | | | | | | all_329_0
% 25.46/4.25 | | | | | | | | | | | | | | | | | |
% 25.46/4.25 | | | | | | | | | | | | | | | | | | ALPHA: (109) implies:
% 25.46/4.25 | | | | | | | | | | | | | | | | | | (110) ~ (all_329_0 = 0)
% 25.46/4.25 | | | | | | | | | | | | | | | | | | (111) xsd_integer(all_315_2) = all_329_0
% 25.46/4.25 | | | | | | | | | | | | | | | | | |
% 25.46/4.25 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (18) with 0, all_329_0, all_315_2,
% 25.46/4.25 | | | | | | | | | | | | | | | | | | simplifying with (107), (111) gives:
% 25.46/4.25 | | | | | | | | | | | | | | | | | | (112) all_329_0 = 0
% 25.46/4.25 | | | | | | | | | | | | | | | | | |
% 25.46/4.25 | | | | | | | | | | | | | | | | | | REDUCE: (110), (112) imply:
% 25.46/4.25 | | | | | | | | | | | | | | | | | | (113) $false
% 25.46/4.25 | | | | | | | | | | | | | | | | | |
% 25.46/4.25 | | | | | | | | | | | | | | | | | | CLOSE: (113) is inconsistent.
% 25.46/4.25 | | | | | | | | | | | | | | | | | |
% 25.46/4.25 | | | | | | | | | | | | | | | | | Case 2:
% 25.46/4.25 | | | | | | | | | | | | | | | | | |
% 25.46/4.25 | | | | | | | | | | | | | | | | | | (114) ~ (all_315_0 = 0) & ~ (all_315_1 = 0)
% 25.46/4.25 | | | | | | | | | | | | | | | | | |
% 25.46/4.25 | | | | | | | | | | | | | | | | | | ALPHA: (114) implies:
% 25.46/4.25 | | | | | | | | | | | | | | | | | | (115) ~ (all_315_1 = 0)
% 25.46/4.25 | | | | | | | | | | | | | | | | | | (116) ~ (all_315_0 = 0)
% 25.46/4.25 | | | | | | | | | | | | | | | | | |
% 25.46/4.25 | | | | | | | | | | | | | | | | | | BETA: splitting (102) gives:
% 25.46/4.25 | | | | | | | | | | | | | | | | | |
% 25.46/4.25 | | | | | | | | | | | | | | | | | | Case 1:
% 25.46/4.25 | | | | | | | | | | | | | | | | | | |
% 25.46/4.25 | | | | | | | | | | | | | | | | | | | (117) xsd_integer(all_315_2) = 0
% 25.46/4.25 | | | | | | | | | | | | | | | | | | |
% 25.46/4.25 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (18) with all_315_0, 0, all_315_2,
% 25.46/4.25 | | | | | | | | | | | | | | | | | | | simplifying with (99), (117) gives:
% 25.46/4.25 | | | | | | | | | | | | | | | | | | | (118) all_315_0 = 0
% 25.46/4.25 | | | | | | | | | | | | | | | | | | |
% 25.46/4.25 | | | | | | | | | | | | | | | | | | | REDUCE: (116), (118) imply:
% 25.46/4.25 | | | | | | | | | | | | | | | | | | | (119) $false
% 25.46/4.25 | | | | | | | | | | | | | | | | | | |
% 25.46/4.25 | | | | | | | | | | | | | | | | | | | CLOSE: (119) is inconsistent.
% 25.46/4.25 | | | | | | | | | | | | | | | | | | |
% 25.46/4.25 | | | | | | | | | | | | | | | | | | Case 2:
% 25.46/4.25 | | | | | | | | | | | | | | | | | | |
% 25.46/4.25 | | | | | | | | | | | | | | | | | | | (120) all_315_1 = 0
% 25.46/4.25 | | | | | | | | | | | | | | | | | | |
% 25.46/4.25 | | | | | | | | | | | | | | | | | | | REDUCE: (115), (120) imply:
% 25.46/4.25 | | | | | | | | | | | | | | | | | | | (121) $false
% 25.46/4.25 | | | | | | | | | | | | | | | | | | |
% 25.46/4.25 | | | | | | | | | | | | | | | | | | | CLOSE: (121) is inconsistent.
% 25.46/4.25 | | | | | | | | | | | | | | | | | | |
% 25.46/4.25 | | | | | | | | | | | | | | | | | | End of split
% 25.46/4.25 | | | | | | | | | | | | | | | | | |
% 25.46/4.25 | | | | | | | | | | | | | | | | | End of split
% 25.46/4.25 | | | | | | | | | | | | | | | | |
% 25.46/4.25 | | | | | | | | | | | | | | | | Case 2:
% 25.46/4.25 | | | | | | | | | | | | | | | | |
% 25.46/4.25 | | | | | | | | | | | | | | | | | (122) ? [v0: $i] : ? [v1: any] : ? [v2: any] :
% 25.46/4.25 | | | | | | | | | | | | | | | | | (cowlNothing(v0) = v2 & cowlThing(v0) = v1 &
% 25.46/4.25 | | | | | | | | | | | | | | | | | $i(v0) & ( ~ (v1 = 0) | v2 = 0))
% 25.46/4.25 | | | | | | | | | | | | | | | | |
% 25.46/4.25 | | | | | | | | | | | | | | | | | DELTA: instantiating (122) with fresh symbols all_315_0,
% 25.46/4.25 | | | | | | | | | | | | | | | | | all_315_1, all_315_2 gives:
% 25.46/4.25 | | | | | | | | | | | | | | | | | (123) cowlNothing(all_315_2) = all_315_0 &
% 25.46/4.25 | | | | | | | | | | | | | | | | | cowlThing(all_315_2) = all_315_1 & $i(all_315_2) &
% 25.46/4.25 | | | | | | | | | | | | | | | | | ( ~ (all_315_1 = 0) | all_315_0 = 0)
% 25.46/4.25 | | | | | | | | | | | | | | | | |
% 25.46/4.25 | | | | | | | | | | | | | | | | | ALPHA: (123) implies:
% 25.46/4.25 | | | | | | | | | | | | | | | | | (124) $i(all_315_2)
% 25.46/4.25 | | | | | | | | | | | | | | | | | (125) cowlThing(all_315_2) = all_315_1
% 25.46/4.25 | | | | | | | | | | | | | | | | | (126) cowlNothing(all_315_2) = all_315_0
% 25.46/4.25 | | | | | | | | | | | | | | | | | (127) ~ (all_315_1 = 0) | all_315_0 = 0
% 25.46/4.25 | | | | | | | | | | | | | | | | |
% 25.46/4.25 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (7) with all_315_2, all_315_1,
% 25.46/4.25 | | | | | | | | | | | | | | | | | simplifying with (124), (125) gives:
% 25.46/4.25 | | | | | | | | | | | | | | | | | (128) all_315_1 = 0
% 25.46/4.25 | | | | | | | | | | | | | | | | |
% 25.46/4.25 | | | | | | | | | | | | | | | | | BETA: splitting (127) gives:
% 25.46/4.25 | | | | | | | | | | | | | | | | |
% 25.46/4.25 | | | | | | | | | | | | | | | | | Case 1:
% 25.46/4.25 | | | | | | | | | | | | | | | | | |
% 25.46/4.25 | | | | | | | | | | | | | | | | | | (129) ~ (all_315_1 = 0)
% 25.46/4.25 | | | | | | | | | | | | | | | | | |
% 25.46/4.25 | | | | | | | | | | | | | | | | | | REDUCE: (128), (129) imply:
% 25.46/4.25 | | | | | | | | | | | | | | | | | | (130) $false
% 25.46/4.25 | | | | | | | | | | | | | | | | | |
% 25.46/4.25 | | | | | | | | | | | | | | | | | | CLOSE: (130) is inconsistent.
% 25.46/4.25 | | | | | | | | | | | | | | | | | |
% 25.46/4.25 | | | | | | | | | | | | | | | | | Case 2:
% 25.46/4.25 | | | | | | | | | | | | | | | | | |
% 25.46/4.25 | | | | | | | | | | | | | | | | | | (131) all_315_0 = 0
% 25.46/4.25 | | | | | | | | | | | | | | | | | |
% 25.46/4.25 | | | | | | | | | | | | | | | | | | REDUCE: (126), (131) imply:
% 25.46/4.25 | | | | | | | | | | | | | | | | | | (132) cowlNothing(all_315_2) = 0
% 25.46/4.25 | | | | | | | | | | | | | | | | | |
% 25.46/4.25 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (29) with all_315_2, simplifying
% 25.46/4.25 | | | | | | | | | | | | | | | | | | with (124), (132) gives:
% 25.46/4.25 | | | | | | | | | | | | | | | | | | (133) $false
% 25.46/4.25 | | | | | | | | | | | | | | | | | |
% 25.46/4.25 | | | | | | | | | | | | | | | | | | CLOSE: (133) is inconsistent.
% 25.46/4.25 | | | | | | | | | | | | | | | | | |
% 25.46/4.25 | | | | | | | | | | | | | | | | | End of split
% 25.46/4.25 | | | | | | | | | | | | | | | | |
% 25.46/4.25 | | | | | | | | | | | | | | | | End of split
% 25.46/4.25 | | | | | | | | | | | | | | | |
% 25.46/4.25 | | | | | | | | | | | | | | | End of split
% 25.46/4.25 | | | | | | | | | | | | | | |
% 25.46/4.25 | | | | | | | | | | | | | | End of split
% 25.46/4.25 | | | | | | | | | | | | | |
% 25.46/4.25 | | | | | | | | | | | | | End of split
% 25.46/4.25 | | | | | | | | | | | | |
% 25.46/4.25 | | | | | | | | | | | | End of split
% 25.46/4.25 | | | | | | | | | | | |
% 25.46/4.25 | | | | | | | | | | | End of split
% 25.46/4.25 | | | | | | | | | | |
% 25.46/4.25 | | | | | | | | | | End of split
% 25.46/4.25 | | | | | | | | | |
% 25.46/4.25 | | | | | | | | | End of split
% 25.46/4.25 | | | | | | | | |
% 25.46/4.25 | | | | | | | | End of split
% 25.46/4.25 | | | | | | | |
% 25.46/4.25 | | | | | | | End of split
% 25.46/4.25 | | | | | | |
% 25.46/4.25 | | | | | | Case 2:
% 25.46/4.25 | | | | | | |
% 25.46/4.25 | | | | | | | (134) ? [v0: any] : ? [v1: any] : (cC134xcomp(iV822576) = v0
% 25.46/4.25 | | | | | | | & cC116(iV822576) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0)))
% 25.46/4.25 | | | | | | |
% 25.46/4.25 | | | | | | | DELTA: instantiating (134) with fresh symbols all_243_0, all_243_1
% 25.46/4.25 | | | | | | | gives:
% 25.46/4.25 | | | | | | | (135) cC134xcomp(iV822576) = all_243_1 & cC116(iV822576) =
% 25.46/4.25 | | | | | | | all_243_0 & ( ~ (all_243_0 = 0) | ~ (all_243_1 = 0))
% 25.46/4.25 | | | | | | |
% 25.46/4.25 | | | | | | | ALPHA: (135) implies:
% 25.46/4.25 | | | | | | | (136) cC116(iV822576) = all_243_0
% 25.46/4.25 | | | | | | | (137) cC134xcomp(iV822576) = all_243_1
% 25.46/4.26 | | | | | | | (138) ~ (all_243_0 = 0) | ~ (all_243_1 = 0)
% 25.46/4.26 | | | | | | |
% 25.46/4.26 | | | | | | | GROUND_INST: instantiating (30) with 0, all_243_0, iV822576,
% 25.46/4.26 | | | | | | | simplifying with (67), (136) gives:
% 25.46/4.26 | | | | | | | (139) all_243_0 = 0
% 25.46/4.26 | | | | | | |
% 25.46/4.26 | | | | | | | GROUND_INST: instantiating (10) with 0, all_243_1, iV822576,
% 25.46/4.26 | | | | | | | simplifying with (9), (137) gives:
% 25.46/4.26 | | | | | | | (140) all_243_1 = 0
% 25.46/4.26 | | | | | | |
% 25.46/4.26 | | | | | | | BETA: splitting (138) gives:
% 25.46/4.26 | | | | | | |
% 25.46/4.26 | | | | | | | Case 1:
% 25.46/4.26 | | | | | | | |
% 25.46/4.26 | | | | | | | | (141) ~ (all_243_0 = 0)
% 25.46/4.26 | | | | | | | |
% 25.46/4.26 | | | | | | | | REDUCE: (139), (141) imply:
% 25.46/4.26 | | | | | | | | (142) $false
% 25.46/4.26 | | | | | | | |
% 25.46/4.26 | | | | | | | | CLOSE: (142) is inconsistent.
% 25.46/4.26 | | | | | | | |
% 25.46/4.26 | | | | | | | Case 2:
% 25.46/4.26 | | | | | | | |
% 25.46/4.26 | | | | | | | | (143) ~ (all_243_1 = 0)
% 25.46/4.26 | | | | | | | |
% 25.46/4.26 | | | | | | | | REDUCE: (140), (143) imply:
% 25.46/4.26 | | | | | | | | (144) $false
% 25.46/4.26 | | | | | | | |
% 25.46/4.26 | | | | | | | | CLOSE: (144) is inconsistent.
% 25.46/4.26 | | | | | | | |
% 25.46/4.26 | | | | | | | End of split
% 25.46/4.26 | | | | | | |
% 25.46/4.26 | | | | | | End of split
% 25.46/4.26 | | | | | |
% 25.46/4.26 | | | | | End of split
% 25.46/4.26 | | | | |
% 25.46/4.26 | | | | End of split
% 25.46/4.26 | | | |
% 25.46/4.26 | | | Case 2:
% 25.46/4.26 | | | |
% 25.46/4.26 | | | | (145) ? [v0: any] : ? [v1: any] : (cC108xcomp(iV822576) = v1 &
% 25.46/4.26 | | | | cC102xcomp(iV822576) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0)))
% 25.46/4.26 | | | |
% 25.46/4.26 | | | | DELTA: instantiating (145) with fresh symbols all_213_0, all_213_1
% 25.46/4.26 | | | | gives:
% 25.46/4.26 | | | | (146) cC108xcomp(iV822576) = all_213_0 & cC102xcomp(iV822576) =
% 25.46/4.26 | | | | all_213_1 & ( ~ (all_213_0 = 0) | ~ (all_213_1 = 0))
% 25.46/4.26 | | | |
% 25.46/4.26 | | | | ALPHA: (146) implies:
% 25.46/4.26 | | | | (147) cC102xcomp(iV822576) = all_213_1
% 25.46/4.26 | | | | (148) cC108xcomp(iV822576) = all_213_0
% 25.46/4.26 | | | | (149) ~ (all_213_0 = 0) | ~ (all_213_1 = 0)
% 25.46/4.26 | | | |
% 25.46/4.26 | | | | GROUND_INST: instantiating (41) with 0, all_213_1, iV822576, simplifying
% 25.46/4.26 | | | | with (4), (147) gives:
% 25.46/4.26 | | | | (150) all_213_1 = 0
% 25.46/4.26 | | | |
% 25.46/4.26 | | | | GROUND_INST: instantiating (1) with 0, all_213_0, iV822576, simplifying
% 25.46/4.26 | | | | with (20), (148) gives:
% 25.46/4.26 | | | | (151) all_213_0 = 0
% 25.46/4.26 | | | |
% 25.46/4.26 | | | | BETA: splitting (149) gives:
% 25.46/4.26 | | | |
% 25.46/4.26 | | | | Case 1:
% 25.46/4.26 | | | | |
% 25.46/4.26 | | | | | (152) ~ (all_213_0 = 0)
% 25.46/4.26 | | | | |
% 25.46/4.26 | | | | | REDUCE: (151), (152) imply:
% 25.46/4.26 | | | | | (153) $false
% 25.46/4.26 | | | | |
% 25.46/4.26 | | | | | CLOSE: (153) is inconsistent.
% 25.46/4.26 | | | | |
% 25.46/4.26 | | | | Case 2:
% 25.46/4.26 | | | | |
% 25.46/4.26 | | | | | (154) ~ (all_213_1 = 0)
% 25.46/4.26 | | | | |
% 25.46/4.26 | | | | | REDUCE: (150), (154) imply:
% 25.46/4.26 | | | | | (155) $false
% 25.46/4.26 | | | | |
% 25.46/4.26 | | | | | CLOSE: (155) is inconsistent.
% 25.46/4.26 | | | | |
% 25.46/4.26 | | | | End of split
% 25.46/4.26 | | | |
% 25.46/4.26 | | | End of split
% 25.46/4.26 | | |
% 25.46/4.26 | | Case 2:
% 25.46/4.26 | | |
% 25.46/4.26 | | | (156) ? [v0: any] : ? [v1: any] : (cC56(iV822576) = v1 &
% 25.46/4.26 | | | cC34(iV822576) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0)))
% 25.46/4.26 | | |
% 25.46/4.26 | | | DELTA: instantiating (156) with fresh symbols all_209_0, all_209_1 gives:
% 25.46/4.26 | | | (157) cC56(iV822576) = all_209_0 & cC34(iV822576) = all_209_1 & ( ~
% 25.46/4.26 | | | (all_209_0 = 0) | ~ (all_209_1 = 0))
% 25.46/4.26 | | |
% 25.46/4.26 | | | ALPHA: (157) implies:
% 25.46/4.26 | | | (158) cC34(iV822576) = all_209_1
% 25.46/4.26 | | | (159) cC56(iV822576) = all_209_0
% 25.46/4.26 | | | (160) ~ (all_209_0 = 0) | ~ (all_209_1 = 0)
% 25.46/4.26 | | |
% 25.46/4.26 | | | GROUND_INST: instantiating (2) with 0, all_209_1, iV822576, simplifying
% 25.46/4.26 | | | with (3), (158) gives:
% 25.46/4.26 | | | (161) all_209_1 = 0
% 25.46/4.26 | | |
% 25.46/4.26 | | | GROUND_INST: instantiating (26) with 0, all_209_0, iV822576, simplifying
% 25.46/4.26 | | | with (43), (159) gives:
% 25.46/4.26 | | | (162) all_209_0 = 0
% 25.46/4.26 | | |
% 25.46/4.26 | | | BETA: splitting (160) gives:
% 25.46/4.26 | | |
% 25.46/4.26 | | | Case 1:
% 25.46/4.26 | | | |
% 25.46/4.26 | | | | (163) ~ (all_209_0 = 0)
% 25.46/4.26 | | | |
% 25.46/4.26 | | | | REDUCE: (162), (163) imply:
% 25.46/4.26 | | | | (164) $false
% 25.46/4.26 | | | |
% 25.46/4.26 | | | | CLOSE: (164) is inconsistent.
% 25.46/4.26 | | | |
% 25.46/4.26 | | | Case 2:
% 25.46/4.26 | | | |
% 25.46/4.26 | | | | (165) ~ (all_209_1 = 0)
% 25.46/4.26 | | | |
% 25.46/4.26 | | | | REDUCE: (161), (165) imply:
% 25.46/4.26 | | | | (166) $false
% 25.46/4.26 | | | |
% 25.46/4.26 | | | | CLOSE: (166) is inconsistent.
% 25.46/4.26 | | | |
% 25.46/4.26 | | | End of split
% 25.46/4.26 | | |
% 25.46/4.26 | | End of split
% 25.46/4.26 | |
% 25.46/4.26 | Case 2:
% 25.46/4.26 | |
% 25.46/4.26 | | (167) ? [v0: any] : ? [v1: any] : (cC4(iV822576) = v0 &
% 25.46/4.26 | | cC10xcomp(iV822576) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0)))
% 25.46/4.26 | |
% 25.46/4.26 | | DELTA: instantiating (167) with fresh symbols all_205_0, all_205_1 gives:
% 25.46/4.26 | | (168) cC4(iV822576) = all_205_1 & cC10xcomp(iV822576) = all_205_0 & ( ~
% 25.46/4.26 | | (all_205_0 = 0) | ~ (all_205_1 = 0))
% 25.46/4.26 | |
% 25.46/4.26 | | ALPHA: (168) implies:
% 25.46/4.26 | | (169) cC10xcomp(iV822576) = all_205_0
% 25.46/4.26 | | (170) cC4(iV822576) = all_205_1
% 25.46/4.26 | | (171) ~ (all_205_0 = 0) | ~ (all_205_1 = 0)
% 25.46/4.26 | |
% 25.46/4.26 | | BETA: splitting (32) gives:
% 25.46/4.26 | |
% 25.46/4.26 | | Case 1:
% 25.46/4.26 | | |
% 25.46/4.26 | | |
% 25.46/4.26 | | | GROUND_INST: instantiating (33) with 0, all_205_0, iV822576, simplifying
% 25.46/4.26 | | | with (6), (169) gives:
% 25.46/4.26 | | | (172) all_205_0 = 0
% 25.46/4.26 | | |
% 25.46/4.26 | | | GROUND_INST: instantiating (17) with 0, all_205_1, iV822576, simplifying
% 25.46/4.26 | | | with (28), (170) gives:
% 25.46/4.26 | | | (173) all_205_1 = 0
% 25.46/4.26 | | |
% 25.46/4.26 | | | BETA: splitting (171) gives:
% 25.46/4.26 | | |
% 25.46/4.26 | | | Case 1:
% 25.46/4.26 | | | |
% 25.46/4.26 | | | | (174) ~ (all_205_0 = 0)
% 25.46/4.26 | | | |
% 25.46/4.26 | | | | REDUCE: (172), (174) imply:
% 25.46/4.26 | | | | (175) $false
% 25.46/4.26 | | | |
% 25.46/4.26 | | | | CLOSE: (175) is inconsistent.
% 25.46/4.26 | | | |
% 25.46/4.26 | | | Case 2:
% 25.46/4.26 | | | |
% 25.46/4.26 | | | | (176) ~ (all_205_1 = 0)
% 25.46/4.26 | | | |
% 25.46/4.26 | | | | REDUCE: (173), (176) imply:
% 25.46/4.26 | | | | (177) $false
% 25.46/4.26 | | | |
% 25.46/4.26 | | | | CLOSE: (177) is inconsistent.
% 25.46/4.26 | | | |
% 25.46/4.26 | | | End of split
% 25.46/4.26 | | |
% 25.46/4.26 | | Case 2:
% 25.46/4.26 | | |
% 25.46/4.26 | | | (178) ? [v0: any] : ? [v1: any] : (cC108xcomp(iV822576) = v1 &
% 25.46/4.26 | | | cC102xcomp(iV822576) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0)))
% 25.46/4.26 | | |
% 25.46/4.26 | | | DELTA: instantiating (178) with fresh symbols all_211_0, all_211_1 gives:
% 25.46/4.26 | | | (179) cC108xcomp(iV822576) = all_211_0 & cC102xcomp(iV822576) =
% 25.46/4.26 | | | all_211_1 & ( ~ (all_211_0 = 0) | ~ (all_211_1 = 0))
% 25.46/4.26 | | |
% 25.46/4.26 | | | ALPHA: (179) implies:
% 25.46/4.26 | | | (180) cC102xcomp(iV822576) = all_211_1
% 25.46/4.26 | | | (181) cC108xcomp(iV822576) = all_211_0
% 25.46/4.26 | | | (182) ~ (all_211_0 = 0) | ~ (all_211_1 = 0)
% 25.46/4.26 | | |
% 25.46/4.26 | | | GROUND_INST: instantiating (41) with 0, all_211_1, iV822576, simplifying
% 25.46/4.26 | | | with (4), (180) gives:
% 25.46/4.26 | | | (183) all_211_1 = 0
% 25.46/4.26 | | |
% 25.46/4.26 | | | GROUND_INST: instantiating (1) with 0, all_211_0, iV822576, simplifying
% 25.46/4.26 | | | with (20), (181) gives:
% 25.46/4.26 | | | (184) all_211_0 = 0
% 25.46/4.26 | | |
% 25.46/4.26 | | | BETA: splitting (182) gives:
% 25.46/4.26 | | |
% 25.46/4.26 | | | Case 1:
% 25.46/4.26 | | | |
% 25.46/4.26 | | | | (185) ~ (all_211_0 = 0)
% 25.46/4.26 | | | |
% 25.46/4.26 | | | | REDUCE: (184), (185) imply:
% 25.46/4.26 | | | | (186) $false
% 25.46/4.26 | | | |
% 25.46/4.26 | | | | CLOSE: (186) is inconsistent.
% 25.46/4.26 | | | |
% 25.46/4.26 | | | Case 2:
% 25.46/4.26 | | | |
% 25.46/4.26 | | | | (187) ~ (all_211_1 = 0)
% 25.46/4.26 | | | |
% 25.46/4.26 | | | | REDUCE: (183), (187) imply:
% 25.46/4.26 | | | | (188) $false
% 25.46/4.26 | | | |
% 25.46/4.26 | | | | CLOSE: (188) is inconsistent.
% 25.46/4.26 | | | |
% 25.46/4.26 | | | End of split
% 25.46/4.26 | | |
% 25.46/4.26 | | End of split
% 25.46/4.26 | |
% 25.46/4.26 | End of split
% 25.46/4.26 |
% 25.46/4.26 End of proof
% 25.46/4.26 % SZS output end Proof for theBenchmark
% 25.46/4.26
% 25.46/4.26 3631ms
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