TSTP Solution File: KRS148+1 by Princess---230619
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%------------------------------------------------------------------------------
% File : Princess---230619
% Problem : KRS148+1 : TPTP v8.1.2. Released v3.1.0.
% Transfm : none
% Format : tptp
% Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s
% Computer : n001.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Aug 31 05:51:26 EDT 2023
% Result : Theorem 15.55s 3.09s
% Output : Proof 23.43s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14 % Problem : KRS148+1 : TPTP v8.1.2. Released v3.1.0.
% 0.00/0.15 % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s
% 0.15/0.37 % Computer : n001.cluster.edu
% 0.15/0.37 % Model : x86_64 x86_64
% 0.15/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.37 % Memory : 8042.1875MB
% 0.15/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.37 % CPULimit : 300
% 0.15/0.37 % WCLimit : 300
% 0.15/0.37 % DateTime : Mon Aug 28 01:37:04 EDT 2023
% 0.15/0.37 % CPUTime :
% 0.23/0.64 ________ _____
% 0.23/0.64 ___ __ \_________(_)________________________________
% 0.23/0.64 __ /_/ /_ ___/_ /__ __ \ ___/ _ \_ ___/_ ___/
% 0.23/0.64 _ ____/_ / _ / _ / / / /__ / __/(__ )_(__ )
% 0.23/0.64 /_/ /_/ /_/ /_/ /_/\___/ \___//____/ /____/
% 0.23/0.64
% 0.23/0.64 A Theorem Prover for First-Order Logic modulo Linear Integer Arithmetic
% 0.23/0.64 (2023-06-19)
% 0.23/0.64
% 0.23/0.64 (c) Philipp Rümmer, 2009-2023
% 0.23/0.64 Contributors: Peter Backeman, Peter Baumgartner, Angelo Brillout, Zafer Esen,
% 0.23/0.64 Amanda Stjerna.
% 0.23/0.64 Free software under BSD-3-Clause.
% 0.23/0.64
% 0.23/0.64 For more information, visit http://www.philipp.ruemmer.org/princess.shtml
% 0.23/0.64
% 0.23/0.64 Loading /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 0.23/0.65 Running up to 7 provers in parallel.
% 0.23/0.67 Prover 0: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893
% 0.23/0.67 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1571432423
% 0.23/0.67 Prover 2: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1065072994
% 0.23/0.67 Prover 3: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996
% 0.23/0.67 Prover 5: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288
% 0.23/0.67 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696
% 0.23/0.67 Prover 6: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365
% 3.69/1.34 Prover 1: Preprocessing ...
% 3.69/1.35 Prover 4: Preprocessing ...
% 3.94/1.42 Prover 5: Preprocessing ...
% 3.94/1.42 Prover 3: Preprocessing ...
% 3.94/1.42 Prover 0: Preprocessing ...
% 3.94/1.42 Prover 6: Preprocessing ...
% 3.94/1.42 Prover 2: Preprocessing ...
% 9.12/2.29 Prover 5: Proving ...
% 9.12/2.31 Prover 2: Proving ...
% 12.69/2.70 Prover 1: Constructing countermodel ...
% 12.69/2.73 Prover 6: Proving ...
% 12.69/2.74 Prover 3: Constructing countermodel ...
% 15.55/3.09 Prover 5: proved (2419ms)
% 15.55/3.09
% 15.55/3.09 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 15.55/3.09
% 15.55/3.09 Prover 7: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470
% 15.55/3.09 Prover 6: stopped
% 15.55/3.09 Prover 8: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089
% 15.55/3.09 Prover 2: stopped
% 15.55/3.09 Prover 10: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=919308125
% 15.55/3.10 Prover 3: stopped
% 15.55/3.12 Prover 11: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1509710984
% 15.55/3.15 Prover 4: Constructing countermodel ...
% 15.55/3.23 Prover 0: Proving ...
% 15.55/3.23 Prover 0: stopped
% 15.55/3.24 Prover 13: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=1138197443
% 15.55/3.28 Prover 7: Preprocessing ...
% 15.55/3.29 Prover 10: Preprocessing ...
% 15.55/3.30 Prover 11: Preprocessing ...
% 15.55/3.30 Prover 8: Preprocessing ...
% 17.73/3.41 Prover 13: Preprocessing ...
% 18.68/3.53 Prover 7: Warning: ignoring some quantifiers
% 18.68/3.57 Prover 7: Constructing countermodel ...
% 19.20/3.60 Prover 10: Warning: ignoring some quantifiers
% 19.20/3.63 Prover 10: Constructing countermodel ...
% 20.03/3.71 Prover 13: Warning: ignoring some quantifiers
% 20.30/3.73 Prover 13: Constructing countermodel ...
% 20.41/3.86 Prover 1: Found proof (size 88)
% 20.41/3.86 Prover 1: proved (3200ms)
% 20.41/3.86 Prover 13: stopped
% 20.41/3.87 Prover 4: stopped
% 20.41/3.87 Prover 10: stopped
% 20.41/3.87 Prover 7: stopped
% 20.41/3.96 Prover 8: Warning: ignoring some quantifiers
% 20.41/3.98 Prover 8: Constructing countermodel ...
% 21.59/4.00 Prover 8: stopped
% 22.65/4.15 Prover 11: Constructing countermodel ...
% 22.65/4.18 Prover 11: stopped
% 22.65/4.18
% 22.65/4.18 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 22.65/4.18
% 22.85/4.19 % SZS output start Proof for theBenchmark
% 22.85/4.20 Assumptions after simplification:
% 22.85/4.20 ---------------------------------
% 22.85/4.20
% 22.85/4.20 (axiom_0)
% 22.85/4.22 ! [v0: $i] : ! [v1: int] : (v1 = 0 | ~ (cowlThing(v0) = v1) | ~ $i(v0)) &
% 22.85/4.22 ! [v0: $i] : ( ~ (cowlNothing(v0) = 0) | ~ $i(v0))
% 22.85/4.22
% 22.85/4.22 (axiom_1)
% 22.85/4.22 ! [v0: $i] : ! [v1: int] : (v1 = 0 | ~ (xsd_string(v0) = v1) | ~ $i(v0) |
% 22.85/4.22 xsd_integer(v0) = 0) & ! [v0: $i] : ( ~ (xsd_string(v0) = 0) | ~ $i(v0) |
% 22.85/4.22 ? [v1: int] : ( ~ (v1 = 0) & xsd_integer(v0) = v1))
% 22.85/4.22
% 22.85/4.22 (axiom_11)
% 22.85/4.22 ! [v0: $i] : ! [v1: any] : ( ~ (cTOP(v0) = v1) | ~ $i(v0) | ? [v2: any] :
% 22.85/4.22 ? [v3: any] : (cC116(v0) = v2 & cC114(v0) = v3 & ( ~ (v2 = 0) | (v1 = 0 & ~
% 22.85/4.22 (v3 = 0))))) & ! [v0: $i] : ( ~ (cTOP(v0) = 0) | ~ $i(v0) | ? [v1:
% 22.85/4.22 any] : ? [v2: any] : (cC116(v0) = v2 & cC114(v0) = v1 & (v2 = 0 | v1 =
% 22.85/4.22 0)))
% 22.85/4.22
% 22.85/4.22 (axiom_25)
% 22.85/4.23 ! [v0: $i] : ! [v1: any] : ( ~ (cTOP(v0) = v1) | ~ $i(v0) | ? [v2: any] :
% 22.85/4.23 ? [v3: any] : (cC140(v0) = v2 & cC138(v0) = v3 & ( ~ (v2 = 0) | (v3 = 0 & v1
% 22.85/4.23 = 0)))) & ! [v0: $i] : ( ~ (cTOP(v0) = 0) | ~ $i(v0) | ? [v1: any]
% 22.85/4.23 : ? [v2: any] : (cC140(v0) = v2 & cC138(v0) = v1 & ( ~ (v1 = 0) | v2 = 0)))
% 22.85/4.23
% 22.85/4.23 (axiom_71)
% 22.85/4.23 ! [v0: $i] : ! [v1: int] : (v1 = 0 | ~ (cTEST(v0) = v1) | ~ $i(v0) | ?
% 22.85/4.23 [v2: any] : ? [v3: any] : (cC140(v0) = v2 & cC116(v0) = v3 & ( ~ (v3 = 0) |
% 22.85/4.23 ~ (v2 = 0)))) & ! [v0: $i] : ( ~ (cTEST(v0) = 0) | ~ $i(v0) |
% 22.85/4.23 (cC140(v0) = 0 & cC116(v0) = 0))
% 22.85/4.23
% 22.85/4.23 (axiom_72)
% 22.85/4.23 cTEST(iV5475) = 0 & $i(iV5475)
% 22.85/4.23
% 22.85/4.23 (axiom_73)
% 22.85/4.23 cTOP(iV5475) = 0 & $i(iV5475)
% 22.85/4.23
% 22.85/4.23 (axiom_74)
% 22.85/4.23 cowlThing(iV5475) = 0 & $i(iV5475)
% 22.85/4.23
% 22.85/4.23 (the_axiom)
% 22.85/4.23 $i(iV5475) & ? [v0: any] : ? [v1: any] : ? [v2: any] : ? [v3: any] :
% 22.85/4.23 (cC140(iV5475) = v3 & cC138(iV5475) = v0 & cC116(iV5475) = v2 &
% 22.85/4.23 cowlThing(iV5475) = v1 & ( ~ (v3 = 0) | ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 =
% 22.85/4.23 0) | ? [v4: $i] : ? [v5: any] : ? [v6: any] : (xsd_string(v4) = v5 &
% 22.85/4.23 xsd_integer(v4) = v6 & $i(v4) & ((v6 = 0 & v5 = 0) | ( ~ (v6 = 0) & ~
% 22.85/4.23 (v5 = 0)))) | ? [v4: $i] : ? [v5: any] : ? [v6: any] :
% 22.85/4.23 (cowlNothing(v4) = v6 & cowlThing(v4) = v5 & $i(v4) & ( ~ (v5 = 0) | v6 =
% 22.85/4.23 0))))
% 22.85/4.23
% 22.85/4.23 (function-axioms)
% 23.14/4.25 ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : !
% 23.14/4.25 [v3: $i] : (v1 = v0 | ~ (rR1(v3, v2) = v1) | ~ (rR1(v3, v2) = v0)) & ! [v0:
% 23.14/4.25 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 |
% 23.14/4.25 ~ (cTEST(v2) = v1) | ~ (cTEST(v2) = v0)) & ! [v0: MultipleValueBool] : !
% 23.14/4.25 [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~ (cC96(v2) = v1) | ~
% 23.14/4.25 (cC96(v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] :
% 23.14/4.25 ! [v2: $i] : (v1 = v0 | ~ (cC92(v2) = v1) | ~ (cC92(v2) = v0)) & ! [v0:
% 23.14/4.25 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 |
% 23.14/4.25 ~ (cC90(v2) = v1) | ~ (cC90(v2) = v0)) & ! [v0: MultipleValueBool] : !
% 23.14/4.25 [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~ (cC86(v2) = v1) | ~
% 23.14/4.25 (cC86(v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] :
% 23.14/4.25 ! [v2: $i] : (v1 = v0 | ~ (cC82(v2) = v1) | ~ (cC82(v2) = v0)) & ! [v0:
% 23.14/4.25 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 |
% 23.14/4.25 ~ (cC80(v2) = v1) | ~ (cC80(v2) = v0)) & ! [v0: MultipleValueBool] : !
% 23.14/4.25 [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~ (cC78(v2) = v1) | ~
% 23.14/4.25 (cC78(v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] :
% 23.14/4.25 ! [v2: $i] : (v1 = v0 | ~ (cC76(v2) = v1) | ~ (cC76(v2) = v0)) & ! [v0:
% 23.14/4.25 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 |
% 23.14/4.25 ~ (cC74(v2) = v1) | ~ (cC74(v2) = v0)) & ! [v0: MultipleValueBool] : !
% 23.14/4.25 [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~ (cC72(v2) = v1) | ~
% 23.14/4.25 (cC72(v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] :
% 23.14/4.25 ! [v2: $i] : (v1 = v0 | ~ (cC70(v2) = v1) | ~ (cC70(v2) = v0)) & ! [v0:
% 23.14/4.25 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 |
% 23.14/4.25 ~ (cC68(v2) = v1) | ~ (cC68(v2) = v0)) & ! [v0: MultipleValueBool] : !
% 23.14/4.25 [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~ (cC66(v2) = v1) | ~
% 23.14/4.25 (cC66(v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] :
% 23.14/4.25 ! [v2: $i] : (v1 = v0 | ~ (cC64(v2) = v1) | ~ (cC64(v2) = v0)) & ! [v0:
% 23.14/4.25 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 |
% 23.14/4.25 ~ (cC60(v2) = v1) | ~ (cC60(v2) = v0)) & ! [v0: MultipleValueBool] : !
% 23.14/4.25 [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~ (cC6(v2) = v1) | ~
% 23.14/4.25 (cC6(v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] :
% 23.14/4.25 ! [v2: $i] : (v1 = v0 | ~ (cC58(v2) = v1) | ~ (cC58(v2) = v0)) & ! [v0:
% 23.14/4.25 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 |
% 23.14/4.25 ~ (cC56(v2) = v1) | ~ (cC56(v2) = v0)) & ! [v0: MultipleValueBool] : !
% 23.14/4.25 [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~ (cC54(v2) = v1) | ~
% 23.14/4.25 (cC54(v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] :
% 23.14/4.25 ! [v2: $i] : (v1 = v0 | ~ (cC52(v2) = v1) | ~ (cC52(v2) = v0)) & ! [v0:
% 23.14/4.25 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 |
% 23.14/4.25 ~ (cC50(v2) = v1) | ~ (cC50(v2) = v0)) & ! [v0: MultipleValueBool] : !
% 23.14/4.25 [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~ (cC48(v2) = v1) | ~
% 23.14/4.25 (cC48(v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] :
% 23.14/4.25 ! [v2: $i] : (v1 = v0 | ~ (cC46(v2) = v1) | ~ (cC46(v2) = v0)) & ! [v0:
% 23.14/4.25 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 |
% 23.14/4.25 ~ (cC44(v2) = v1) | ~ (cC44(v2) = v0)) & ! [v0: MultipleValueBool] : !
% 23.14/4.25 [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~ (cC42(v2) = v1) | ~
% 23.14/4.25 (cC42(v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] :
% 23.14/4.25 ! [v2: $i] : (v1 = v0 | ~ (cC40(v2) = v1) | ~ (cC40(v2) = v0)) & ! [v0:
% 23.14/4.25 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 |
% 23.14/4.25 ~ (cC4(v2) = v1) | ~ (cC4(v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1:
% 23.14/4.25 MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~ (cC38(v2) = v1) | ~
% 23.14/4.25 (cC38(v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] :
% 23.14/4.25 ! [v2: $i] : (v1 = v0 | ~ (cC36(v2) = v1) | ~ (cC36(v2) = v0)) & ! [v0:
% 23.14/4.25 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 |
% 23.14/4.25 ~ (cC34(v2) = v1) | ~ (cC34(v2) = v0)) & ! [v0: MultipleValueBool] : !
% 23.14/4.25 [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~ (cC32(v2) = v1) | ~
% 23.14/4.25 (cC32(v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] :
% 23.14/4.25 ! [v2: $i] : (v1 = v0 | ~ (cC30(v2) = v1) | ~ (cC30(v2) = v0)) & ! [v0:
% 23.14/4.25 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 |
% 23.14/4.25 ~ (cC28(v2) = v1) | ~ (cC28(v2) = v0)) & ! [v0: MultipleValueBool] : !
% 23.14/4.25 [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~ (cC26(v2) = v1) | ~
% 23.14/4.25 (cC26(v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] :
% 23.14/4.25 ! [v2: $i] : (v1 = v0 | ~ (cC24(v2) = v1) | ~ (cC24(v2) = v0)) & ! [v0:
% 23.14/4.25 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 |
% 23.14/4.25 ~ (cC22(v2) = v1) | ~ (cC22(v2) = v0)) & ! [v0: MultipleValueBool] : !
% 23.14/4.25 [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~ (cC20(v2) = v1) | ~
% 23.14/4.25 (cC20(v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] :
% 23.14/4.25 ! [v2: $i] : (v1 = v0 | ~ (cC18(v2) = v1) | ~ (cC18(v2) = v0)) & ! [v0:
% 23.14/4.25 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 |
% 23.14/4.25 ~ (cC16(v2) = v1) | ~ (cC16(v2) = v0)) & ! [v0: MultipleValueBool] : !
% 23.14/4.25 [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~ (cC140(v2) = v1) | ~
% 23.14/4.25 (cC140(v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool]
% 23.14/4.25 : ! [v2: $i] : (v1 = v0 | ~ (cC14(v2) = v1) | ~ (cC14(v2) = v0)) & ! [v0:
% 23.14/4.25 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 |
% 23.14/4.25 ~ (cC138(v2) = v1) | ~ (cC138(v2) = v0)) & ! [v0: MultipleValueBool] : !
% 23.14/4.25 [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~ (cC136(v2) = v1) | ~
% 23.14/4.25 (cC136(v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool]
% 23.14/4.25 : ! [v2: $i] : (v1 = v0 | ~ (cC134(v2) = v1) | ~ (cC134(v2) = v0)) & !
% 23.14/4.25 [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0
% 23.14/4.25 | ~ (cC132(v2) = v1) | ~ (cC132(v2) = v0)) & ! [v0: MultipleValueBool] :
% 23.14/4.25 ! [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~ (cC130(v2) = v1) | ~
% 23.14/4.25 (cC130(v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool]
% 23.14/4.25 : ! [v2: $i] : (v1 = v0 | ~ (cC128(v2) = v1) | ~ (cC128(v2) = v0)) & !
% 23.14/4.25 [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0
% 23.14/4.25 | ~ (cC126(v2) = v1) | ~ (cC126(v2) = v0)) & ! [v0: MultipleValueBool] :
% 23.14/4.25 ! [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~ (cC124(v2) = v1) | ~
% 23.14/4.25 (cC124(v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool]
% 23.14/4.25 : ! [v2: $i] : (v1 = v0 | ~ (cC122(v2) = v1) | ~ (cC122(v2) = v0)) & !
% 23.14/4.25 [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0
% 23.14/4.25 | ~ (cC120(v2) = v1) | ~ (cC120(v2) = v0)) & ! [v0: MultipleValueBool] :
% 23.14/4.25 ! [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~ (cC12(v2) = v1) | ~
% 23.14/4.25 (cC12(v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] :
% 23.14/4.25 ! [v2: $i] : (v1 = v0 | ~ (cC118(v2) = v1) | ~ (cC118(v2) = v0)) & ! [v0:
% 23.14/4.25 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 |
% 23.14/4.25 ~ (cTOP(v2) = v1) | ~ (cTOP(v2) = v0)) & ! [v0: MultipleValueBool] : !
% 23.14/4.25 [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~ (cC116(v2) = v1) | ~
% 23.14/4.25 (cC116(v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool]
% 23.14/4.25 : ! [v2: $i] : (v1 = v0 | ~ (cC114(v2) = v1) | ~ (cC114(v2) = v0)) & !
% 23.14/4.25 [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0
% 23.14/4.25 | ~ (cC112(v2) = v1) | ~ (cC112(v2) = v0)) & ! [v0: MultipleValueBool] :
% 23.14/4.25 ! [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~ (cC62(v2) = v1) | ~
% 23.14/4.25 (cC62(v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] :
% 23.14/4.25 ! [v2: $i] : (v1 = v0 | ~ (cC110(v2) = v1) | ~ (cC110(v2) = v0)) & ! [v0:
% 23.14/4.25 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 |
% 23.14/4.26 ~ (cC84(v2) = v1) | ~ (cC84(v2) = v0)) & ! [v0: MultipleValueBool] : !
% 23.14/4.26 [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~ (cC108(v2) = v1) | ~
% 23.14/4.26 (cC108(v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool]
% 23.14/4.26 : ! [v2: $i] : (v1 = v0 | ~ (cC106(v2) = v1) | ~ (cC106(v2) = v0)) & !
% 23.14/4.26 [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0
% 23.14/4.26 | ~ (cC88(v2) = v1) | ~ (cC88(v2) = v0)) & ! [v0: MultipleValueBool] : !
% 23.14/4.26 [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~ (cC104(v2) = v1) | ~
% 23.14/4.26 (cC104(v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool]
% 23.14/4.26 : ! [v2: $i] : (v1 = v0 | ~ (cC102(v2) = v1) | ~ (cC102(v2) = v0)) & !
% 23.14/4.26 [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0
% 23.14/4.26 | ~ (cC98(v2) = v1) | ~ (cC98(v2) = v0)) & ! [v0: MultipleValueBool] : !
% 23.14/4.26 [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~ (cC100(v2) = v1) | ~
% 23.14/4.26 (cC100(v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool]
% 23.14/4.26 : ! [v2: $i] : (v1 = v0 | ~ (cC94(v2) = v1) | ~ (cC94(v2) = v0)) & ! [v0:
% 23.14/4.26 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 |
% 23.14/4.26 ~ (cC8(v2) = v1) | ~ (cC8(v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1:
% 23.14/4.26 MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~ (cC10(v2) = v1) | ~
% 23.14/4.26 (cC10(v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] :
% 23.14/4.26 ! [v2: $i] : (v1 = v0 | ~ (cC2(v2) = v1) | ~ (cC2(v2) = v0)) & ! [v0:
% 23.14/4.26 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 |
% 23.14/4.26 ~ (xsd_string(v2) = v1) | ~ (xsd_string(v2) = v0)) & ! [v0:
% 23.14/4.26 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 |
% 23.14/4.26 ~ (xsd_integer(v2) = v1) | ~ (xsd_integer(v2) = v0)) & ! [v0:
% 23.14/4.26 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 |
% 23.14/4.26 ~ (cowlNothing(v2) = v1) | ~ (cowlNothing(v2) = v0)) & ! [v0:
% 23.14/4.26 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 |
% 23.14/4.26 ~ (cowlThing(v2) = v1) | ~ (cowlThing(v2) = v0))
% 23.14/4.26
% 23.14/4.26 Further assumptions not needed in the proof:
% 23.14/4.26 --------------------------------------------
% 23.14/4.26 axiom_10, axiom_12, axiom_13, axiom_14, axiom_15, axiom_16, axiom_17, axiom_18,
% 23.14/4.26 axiom_19, axiom_2, axiom_20, axiom_21, axiom_22, axiom_23, axiom_24, axiom_26,
% 23.14/4.26 axiom_27, axiom_28, axiom_29, axiom_3, axiom_30, axiom_31, axiom_32, axiom_33,
% 23.14/4.26 axiom_34, axiom_35, axiom_36, axiom_37, axiom_38, axiom_39, axiom_4, axiom_40,
% 23.14/4.26 axiom_41, axiom_42, axiom_43, axiom_44, axiom_45, axiom_46, axiom_47, axiom_48,
% 23.14/4.26 axiom_49, axiom_5, axiom_50, axiom_51, axiom_52, axiom_53, axiom_54, axiom_55,
% 23.14/4.26 axiom_56, axiom_57, axiom_58, axiom_59, axiom_6, axiom_60, axiom_61, axiom_62,
% 23.14/4.26 axiom_63, axiom_64, axiom_65, axiom_66, axiom_67, axiom_68, axiom_69, axiom_7,
% 23.14/4.26 axiom_70, axiom_75, axiom_76, axiom_77, axiom_78, axiom_79, axiom_8, axiom_80,
% 23.14/4.26 axiom_81, axiom_82, axiom_83, axiom_84, axiom_85, axiom_86, axiom_87, axiom_88,
% 23.14/4.26 axiom_9
% 23.14/4.26
% 23.14/4.26 Those formulas are unsatisfiable:
% 23.14/4.26 ---------------------------------
% 23.14/4.26
% 23.14/4.26 Begin of proof
% 23.20/4.26 |
% 23.20/4.26 | ALPHA: (axiom_0) implies:
% 23.20/4.26 | (1) ! [v0: $i] : ( ~ (cowlNothing(v0) = 0) | ~ $i(v0))
% 23.20/4.26 | (2) ! [v0: $i] : ! [v1: int] : (v1 = 0 | ~ (cowlThing(v0) = v1) | ~
% 23.20/4.26 | $i(v0))
% 23.20/4.26 |
% 23.20/4.26 | ALPHA: (axiom_1) implies:
% 23.20/4.26 | (3) ! [v0: $i] : ( ~ (xsd_string(v0) = 0) | ~ $i(v0) | ? [v1: int] : ( ~
% 23.20/4.26 | (v1 = 0) & xsd_integer(v0) = v1))
% 23.20/4.26 | (4) ! [v0: $i] : ! [v1: int] : (v1 = 0 | ~ (xsd_string(v0) = v1) | ~
% 23.20/4.26 | $i(v0) | xsd_integer(v0) = 0)
% 23.20/4.26 |
% 23.20/4.26 | ALPHA: (axiom_11) implies:
% 23.20/4.26 | (5) ! [v0: $i] : ( ~ (cTOP(v0) = 0) | ~ $i(v0) | ? [v1: any] : ? [v2:
% 23.20/4.26 | any] : (cC116(v0) = v2 & cC114(v0) = v1 & (v2 = 0 | v1 = 0)))
% 23.20/4.26 |
% 23.20/4.26 | ALPHA: (axiom_25) implies:
% 23.20/4.26 | (6) ! [v0: $i] : ( ~ (cTOP(v0) = 0) | ~ $i(v0) | ? [v1: any] : ? [v2:
% 23.20/4.26 | any] : (cC140(v0) = v2 & cC138(v0) = v1 & ( ~ (v1 = 0) | v2 = 0)))
% 23.20/4.27 | (7) ! [v0: $i] : ! [v1: any] : ( ~ (cTOP(v0) = v1) | ~ $i(v0) | ? [v2:
% 23.20/4.27 | any] : ? [v3: any] : (cC140(v0) = v2 & cC138(v0) = v3 & ( ~ (v2 =
% 23.20/4.27 | 0) | (v3 = 0 & v1 = 0))))
% 23.20/4.27 |
% 23.20/4.27 | ALPHA: (axiom_71) implies:
% 23.20/4.27 | (8) ! [v0: $i] : ( ~ (cTEST(v0) = 0) | ~ $i(v0) | (cC140(v0) = 0 &
% 23.20/4.27 | cC116(v0) = 0))
% 23.20/4.27 |
% 23.20/4.27 | ALPHA: (axiom_72) implies:
% 23.20/4.27 | (9) cTEST(iV5475) = 0
% 23.20/4.27 |
% 23.20/4.27 | ALPHA: (axiom_73) implies:
% 23.20/4.27 | (10) cTOP(iV5475) = 0
% 23.20/4.27 |
% 23.20/4.27 | ALPHA: (axiom_74) implies:
% 23.20/4.27 | (11) cowlThing(iV5475) = 0
% 23.20/4.27 |
% 23.20/4.27 | ALPHA: (the_axiom) implies:
% 23.20/4.27 | (12) $i(iV5475)
% 23.20/4.27 | (13) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? [v3: any] :
% 23.20/4.27 | (cC140(iV5475) = v3 & cC138(iV5475) = v0 & cC116(iV5475) = v2 &
% 23.20/4.27 | cowlThing(iV5475) = v1 & ( ~ (v3 = 0) | ~ (v2 = 0) | ~ (v1 = 0) |
% 23.20/4.27 | ~ (v0 = 0) | ? [v4: $i] : ? [v5: any] : ? [v6: any] :
% 23.20/4.27 | (xsd_string(v4) = v5 & xsd_integer(v4) = v6 & $i(v4) & ((v6 = 0 &
% 23.20/4.27 | v5 = 0) | ( ~ (v6 = 0) & ~ (v5 = 0)))) | ? [v4: $i] : ?
% 23.20/4.27 | [v5: any] : ? [v6: any] : (cowlNothing(v4) = v6 & cowlThing(v4) =
% 23.20/4.27 | v5 & $i(v4) & ( ~ (v5 = 0) | v6 = 0))))
% 23.20/4.27 |
% 23.20/4.27 | ALPHA: (function-axioms) implies:
% 23.20/4.27 | (14) ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i]
% 23.20/4.27 | : (v1 = v0 | ~ (cowlThing(v2) = v1) | ~ (cowlThing(v2) = v0))
% 23.20/4.27 | (15) ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i]
% 23.20/4.27 | : (v1 = v0 | ~ (xsd_integer(v2) = v1) | ~ (xsd_integer(v2) = v0))
% 23.20/4.27 | (16) ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i]
% 23.20/4.27 | : (v1 = v0 | ~ (cC116(v2) = v1) | ~ (cC116(v2) = v0))
% 23.20/4.27 | (17) ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i]
% 23.20/4.27 | : (v1 = v0 | ~ (cC138(v2) = v1) | ~ (cC138(v2) = v0))
% 23.20/4.27 | (18) ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i]
% 23.20/4.27 | : (v1 = v0 | ~ (cC140(v2) = v1) | ~ (cC140(v2) = v0))
% 23.20/4.27 |
% 23.20/4.27 | DELTA: instantiating (13) with fresh symbols all_92_0, all_92_1, all_92_2,
% 23.20/4.27 | all_92_3 gives:
% 23.20/4.27 | (19) cC140(iV5475) = all_92_0 & cC138(iV5475) = all_92_3 & cC116(iV5475) =
% 23.20/4.27 | all_92_1 & cowlThing(iV5475) = all_92_2 & ( ~ (all_92_0 = 0) | ~
% 23.20/4.27 | (all_92_1 = 0) | ~ (all_92_2 = 0) | ~ (all_92_3 = 0) | ? [v0: $i]
% 23.20/4.27 | : ? [v1: any] : ? [v2: any] : (xsd_string(v0) = v1 &
% 23.20/4.27 | xsd_integer(v0) = v2 & $i(v0) & ((v2 = 0 & v1 = 0) | ( ~ (v2 = 0)
% 23.20/4.27 | & ~ (v1 = 0)))) | ? [v0: $i] : ? [v1: any] : ? [v2: any] :
% 23.20/4.27 | (cowlNothing(v0) = v2 & cowlThing(v0) = v1 & $i(v0) & ( ~ (v1 = 0) |
% 23.20/4.27 | v2 = 0)))
% 23.20/4.27 |
% 23.20/4.27 | ALPHA: (19) implies:
% 23.20/4.28 | (20) cowlThing(iV5475) = all_92_2
% 23.20/4.28 | (21) cC116(iV5475) = all_92_1
% 23.20/4.28 | (22) cC138(iV5475) = all_92_3
% 23.20/4.28 | (23) cC140(iV5475) = all_92_0
% 23.20/4.28 | (24) ~ (all_92_0 = 0) | ~ (all_92_1 = 0) | ~ (all_92_2 = 0) | ~
% 23.20/4.28 | (all_92_3 = 0) | ? [v0: $i] : ? [v1: any] : ? [v2: any] :
% 23.20/4.28 | (xsd_string(v0) = v1 & xsd_integer(v0) = v2 & $i(v0) & ((v2 = 0 & v1 =
% 23.20/4.28 | 0) | ( ~ (v2 = 0) & ~ (v1 = 0)))) | ? [v0: $i] : ? [v1: any]
% 23.20/4.28 | : ? [v2: any] : (cowlNothing(v0) = v2 & cowlThing(v0) = v1 & $i(v0) &
% 23.20/4.28 | ( ~ (v1 = 0) | v2 = 0))
% 23.20/4.28 |
% 23.20/4.28 | GROUND_INST: instantiating (14) with 0, all_92_2, iV5475, simplifying with
% 23.20/4.28 | (11), (20) gives:
% 23.20/4.28 | (25) all_92_2 = 0
% 23.20/4.28 |
% 23.20/4.28 | GROUND_INST: instantiating (6) with iV5475, simplifying with (10), (12) gives:
% 23.20/4.28 | (26) ? [v0: any] : ? [v1: any] : (cC140(iV5475) = v1 & cC138(iV5475) = v0
% 23.20/4.28 | & ( ~ (v0 = 0) | v1 = 0))
% 23.20/4.28 |
% 23.20/4.28 | GROUND_INST: instantiating (5) with iV5475, simplifying with (10), (12) gives:
% 23.20/4.28 | (27) ? [v0: any] : ? [v1: any] : (cC116(iV5475) = v1 & cC114(iV5475) = v0
% 23.20/4.28 | & (v1 = 0 | v0 = 0))
% 23.20/4.28 |
% 23.20/4.28 | GROUND_INST: instantiating (7) with iV5475, 0, simplifying with (10), (12)
% 23.20/4.28 | gives:
% 23.20/4.28 | (28) ? [v0: any] : ? [v1: any] : (cC140(iV5475) = v0 & cC138(iV5475) = v1
% 23.20/4.28 | & ( ~ (v0 = 0) | v1 = 0))
% 23.20/4.28 |
% 23.20/4.28 | GROUND_INST: instantiating (8) with iV5475, simplifying with (9), (12) gives:
% 23.20/4.28 | (29) cC140(iV5475) = 0 & cC116(iV5475) = 0
% 23.20/4.28 |
% 23.20/4.28 | ALPHA: (29) implies:
% 23.20/4.28 | (30) cC116(iV5475) = 0
% 23.20/4.28 | (31) cC140(iV5475) = 0
% 23.20/4.28 |
% 23.20/4.28 | DELTA: instantiating (28) with fresh symbols all_106_0, all_106_1 gives:
% 23.20/4.28 | (32) cC140(iV5475) = all_106_1 & cC138(iV5475) = all_106_0 & ( ~ (all_106_1
% 23.20/4.28 | = 0) | all_106_0 = 0)
% 23.20/4.28 |
% 23.20/4.28 | ALPHA: (32) implies:
% 23.20/4.28 | (33) cC138(iV5475) = all_106_0
% 23.20/4.28 | (34) cC140(iV5475) = all_106_1
% 23.20/4.28 | (35) ~ (all_106_1 = 0) | all_106_0 = 0
% 23.20/4.28 |
% 23.20/4.28 | DELTA: instantiating (27) with fresh symbols all_108_0, all_108_1 gives:
% 23.20/4.28 | (36) cC116(iV5475) = all_108_0 & cC114(iV5475) = all_108_1 & (all_108_0 = 0
% 23.20/4.28 | | all_108_1 = 0)
% 23.20/4.28 |
% 23.20/4.28 | ALPHA: (36) implies:
% 23.20/4.29 | (37) cC116(iV5475) = all_108_0
% 23.20/4.29 |
% 23.20/4.29 | DELTA: instantiating (26) with fresh symbols all_110_0, all_110_1 gives:
% 23.20/4.29 | (38) cC140(iV5475) = all_110_0 & cC138(iV5475) = all_110_1 & ( ~ (all_110_1
% 23.20/4.29 | = 0) | all_110_0 = 0)
% 23.20/4.29 |
% 23.20/4.29 | ALPHA: (38) implies:
% 23.20/4.29 | (39) cC138(iV5475) = all_110_1
% 23.20/4.29 | (40) cC140(iV5475) = all_110_0
% 23.20/4.29 |
% 23.20/4.29 | GROUND_INST: instantiating (16) with all_92_1, all_108_0, iV5475, simplifying
% 23.20/4.29 | with (21), (37) gives:
% 23.20/4.29 | (41) all_108_0 = all_92_1
% 23.20/4.29 |
% 23.20/4.29 | GROUND_INST: instantiating (16) with 0, all_108_0, iV5475, simplifying with
% 23.20/4.29 | (30), (37) gives:
% 23.20/4.29 | (42) all_108_0 = 0
% 23.20/4.29 |
% 23.20/4.29 | GROUND_INST: instantiating (17) with all_92_3, all_110_1, iV5475, simplifying
% 23.20/4.29 | with (22), (39) gives:
% 23.20/4.29 | (43) all_110_1 = all_92_3
% 23.20/4.29 |
% 23.20/4.29 | GROUND_INST: instantiating (17) with all_106_0, all_110_1, iV5475, simplifying
% 23.20/4.29 | with (33), (39) gives:
% 23.20/4.29 | (44) all_110_1 = all_106_0
% 23.20/4.29 |
% 23.20/4.29 | GROUND_INST: instantiating (18) with all_92_0, all_106_1, iV5475, simplifying
% 23.20/4.29 | with (23), (34) gives:
% 23.20/4.29 | (45) all_106_1 = all_92_0
% 23.20/4.29 |
% 23.20/4.29 | GROUND_INST: instantiating (18) with all_106_1, all_110_0, iV5475, simplifying
% 23.20/4.29 | with (34), (40) gives:
% 23.20/4.29 | (46) all_110_0 = all_106_1
% 23.20/4.29 |
% 23.20/4.29 | GROUND_INST: instantiating (18) with 0, all_110_0, iV5475, simplifying with
% 23.20/4.29 | (31), (40) gives:
% 23.20/4.29 | (47) all_110_0 = 0
% 23.20/4.29 |
% 23.20/4.29 | COMBINE_EQS: (46), (47) imply:
% 23.20/4.29 | (48) all_106_1 = 0
% 23.20/4.29 |
% 23.20/4.29 | SIMP: (48) implies:
% 23.20/4.29 | (49) all_106_1 = 0
% 23.20/4.29 |
% 23.20/4.29 | COMBINE_EQS: (43), (44) imply:
% 23.20/4.29 | (50) all_106_0 = all_92_3
% 23.20/4.29 |
% 23.20/4.29 | COMBINE_EQS: (41), (42) imply:
% 23.20/4.29 | (51) all_92_1 = 0
% 23.20/4.29 |
% 23.20/4.29 | SIMP: (51) implies:
% 23.20/4.29 | (52) all_92_1 = 0
% 23.20/4.29 |
% 23.20/4.29 | COMBINE_EQS: (45), (49) imply:
% 23.20/4.29 | (53) all_92_0 = 0
% 23.20/4.29 |
% 23.20/4.29 | SIMP: (53) implies:
% 23.20/4.29 | (54) all_92_0 = 0
% 23.20/4.29 |
% 23.20/4.29 | BETA: splitting (35) gives:
% 23.20/4.29 |
% 23.20/4.29 | Case 1:
% 23.20/4.29 | |
% 23.20/4.29 | | (55) ~ (all_106_1 = 0)
% 23.20/4.29 | |
% 23.20/4.29 | | REDUCE: (49), (55) imply:
% 23.20/4.29 | | (56) $false
% 23.20/4.29 | |
% 23.20/4.29 | | CLOSE: (56) is inconsistent.
% 23.20/4.29 | |
% 23.20/4.29 | Case 2:
% 23.20/4.29 | |
% 23.20/4.29 | | (57) all_106_0 = 0
% 23.20/4.29 | |
% 23.20/4.29 | | COMBINE_EQS: (50), (57) imply:
% 23.20/4.29 | | (58) all_92_3 = 0
% 23.20/4.29 | |
% 23.20/4.29 | | SIMP: (58) implies:
% 23.20/4.29 | | (59) all_92_3 = 0
% 23.20/4.29 | |
% 23.20/4.29 | | BETA: splitting (24) gives:
% 23.20/4.29 | |
% 23.20/4.29 | | Case 1:
% 23.20/4.29 | | |
% 23.20/4.29 | | | (60) ~ (all_92_0 = 0)
% 23.20/4.29 | | |
% 23.20/4.29 | | | REDUCE: (54), (60) imply:
% 23.20/4.29 | | | (61) $false
% 23.20/4.29 | | |
% 23.20/4.29 | | | CLOSE: (61) is inconsistent.
% 23.20/4.29 | | |
% 23.20/4.29 | | Case 2:
% 23.20/4.29 | | |
% 23.20/4.30 | | | (62) ~ (all_92_1 = 0) | ~ (all_92_2 = 0) | ~ (all_92_3 = 0) | ?
% 23.20/4.30 | | | [v0: $i] : ? [v1: any] : ? [v2: any] : (xsd_string(v0) = v1 &
% 23.20/4.30 | | | xsd_integer(v0) = v2 & $i(v0) & ((v2 = 0 & v1 = 0) | ( ~ (v2 =
% 23.20/4.30 | | | 0) & ~ (v1 = 0)))) | ? [v0: $i] : ? [v1: any] : ? [v2:
% 23.20/4.30 | | | any] : (cowlNothing(v0) = v2 & cowlThing(v0) = v1 & $i(v0) & ( ~
% 23.20/4.30 | | | (v1 = 0) | v2 = 0))
% 23.20/4.30 | | |
% 23.20/4.30 | | | BETA: splitting (62) gives:
% 23.20/4.30 | | |
% 23.20/4.30 | | | Case 1:
% 23.20/4.30 | | | |
% 23.20/4.30 | | | | (63) ~ (all_92_1 = 0)
% 23.20/4.30 | | | |
% 23.20/4.30 | | | | REDUCE: (52), (63) imply:
% 23.20/4.30 | | | | (64) $false
% 23.20/4.30 | | | |
% 23.20/4.30 | | | | CLOSE: (64) is inconsistent.
% 23.20/4.30 | | | |
% 23.20/4.30 | | | Case 2:
% 23.20/4.30 | | | |
% 23.20/4.30 | | | | (65) ~ (all_92_2 = 0) | ~ (all_92_3 = 0) | ? [v0: $i] : ? [v1:
% 23.20/4.30 | | | | any] : ? [v2: any] : (xsd_string(v0) = v1 & xsd_integer(v0) =
% 23.20/4.30 | | | | v2 & $i(v0) & ((v2 = 0 & v1 = 0) | ( ~ (v2 = 0) & ~ (v1 =
% 23.20/4.30 | | | | 0)))) | ? [v0: $i] : ? [v1: any] : ? [v2: any] :
% 23.20/4.30 | | | | (cowlNothing(v0) = v2 & cowlThing(v0) = v1 & $i(v0) & ( ~ (v1 =
% 23.20/4.30 | | | | 0) | v2 = 0))
% 23.20/4.30 | | | |
% 23.20/4.30 | | | | BETA: splitting (65) gives:
% 23.20/4.30 | | | |
% 23.20/4.30 | | | | Case 1:
% 23.20/4.30 | | | | |
% 23.20/4.30 | | | | | (66) ~ (all_92_2 = 0)
% 23.20/4.30 | | | | |
% 23.20/4.30 | | | | | REDUCE: (25), (66) imply:
% 23.20/4.30 | | | | | (67) $false
% 23.20/4.30 | | | | |
% 23.20/4.30 | | | | | CLOSE: (67) is inconsistent.
% 23.20/4.30 | | | | |
% 23.20/4.30 | | | | Case 2:
% 23.20/4.30 | | | | |
% 23.20/4.30 | | | | | (68) ~ (all_92_3 = 0) | ? [v0: $i] : ? [v1: any] : ? [v2: any]
% 23.20/4.30 | | | | | : (xsd_string(v0) = v1 & xsd_integer(v0) = v2 & $i(v0) & ((v2
% 23.20/4.30 | | | | | = 0 & v1 = 0) | ( ~ (v2 = 0) & ~ (v1 = 0)))) | ? [v0:
% 23.20/4.30 | | | | | $i] : ? [v1: any] : ? [v2: any] : (cowlNothing(v0) = v2 &
% 23.20/4.30 | | | | | cowlThing(v0) = v1 & $i(v0) & ( ~ (v1 = 0) | v2 = 0))
% 23.20/4.30 | | | | |
% 23.20/4.30 | | | | | BETA: splitting (68) gives:
% 23.20/4.30 | | | | |
% 23.20/4.30 | | | | | Case 1:
% 23.20/4.30 | | | | | |
% 23.20/4.30 | | | | | | (69) ~ (all_92_3 = 0)
% 23.20/4.30 | | | | | |
% 23.20/4.30 | | | | | | REDUCE: (59), (69) imply:
% 23.20/4.30 | | | | | | (70) $false
% 23.20/4.30 | | | | | |
% 23.20/4.30 | | | | | | CLOSE: (70) is inconsistent.
% 23.20/4.30 | | | | | |
% 23.20/4.30 | | | | | Case 2:
% 23.20/4.30 | | | | | |
% 23.20/4.30 | | | | | | (71) ? [v0: $i] : ? [v1: any] : ? [v2: any] : (xsd_string(v0)
% 23.20/4.30 | | | | | | = v1 & xsd_integer(v0) = v2 & $i(v0) & ((v2 = 0 & v1 = 0)
% 23.20/4.30 | | | | | | | ( ~ (v2 = 0) & ~ (v1 = 0)))) | ? [v0: $i] : ? [v1:
% 23.20/4.30 | | | | | | any] : ? [v2: any] : (cowlNothing(v0) = v2 &
% 23.20/4.30 | | | | | | cowlThing(v0) = v1 & $i(v0) & ( ~ (v1 = 0) | v2 = 0))
% 23.20/4.30 | | | | | |
% 23.20/4.30 | | | | | | BETA: splitting (71) gives:
% 23.20/4.30 | | | | | |
% 23.20/4.30 | | | | | | Case 1:
% 23.20/4.30 | | | | | | |
% 23.20/4.30 | | | | | | | (72) ? [v0: $i] : ? [v1: any] : ? [v2: any] :
% 23.20/4.30 | | | | | | | (xsd_string(v0) = v1 & xsd_integer(v0) = v2 & $i(v0) &
% 23.20/4.30 | | | | | | | ((v2 = 0 & v1 = 0) | ( ~ (v2 = 0) & ~ (v1 = 0))))
% 23.20/4.30 | | | | | | |
% 23.20/4.30 | | | | | | | DELTA: instantiating (72) with fresh symbols all_240_0, all_240_1,
% 23.20/4.30 | | | | | | | all_240_2 gives:
% 23.20/4.30 | | | | | | | (73) xsd_string(all_240_2) = all_240_1 & xsd_integer(all_240_2)
% 23.20/4.30 | | | | | | | = all_240_0 & $i(all_240_2) & ((all_240_0 = 0 & all_240_1
% 23.20/4.30 | | | | | | | = 0) | ( ~ (all_240_0 = 0) & ~ (all_240_1 = 0)))
% 23.20/4.30 | | | | | | |
% 23.20/4.31 | | | | | | | ALPHA: (73) implies:
% 23.20/4.31 | | | | | | | (74) $i(all_240_2)
% 23.20/4.31 | | | | | | | (75) xsd_integer(all_240_2) = all_240_0
% 23.20/4.31 | | | | | | | (76) xsd_string(all_240_2) = all_240_1
% 23.20/4.31 | | | | | | | (77) (all_240_0 = 0 & all_240_1 = 0) | ( ~ (all_240_0 = 0) & ~
% 23.20/4.31 | | | | | | | (all_240_1 = 0))
% 23.20/4.31 | | | | | | |
% 23.20/4.31 | | | | | | | GROUND_INST: instantiating (4) with all_240_2, all_240_1,
% 23.20/4.31 | | | | | | | simplifying with (74), (76) gives:
% 23.20/4.31 | | | | | | | (78) all_240_1 = 0 | xsd_integer(all_240_2) = 0
% 23.20/4.31 | | | | | | |
% 23.20/4.31 | | | | | | | BETA: splitting (77) gives:
% 23.20/4.31 | | | | | | |
% 23.20/4.31 | | | | | | | Case 1:
% 23.20/4.31 | | | | | | | |
% 23.20/4.31 | | | | | | | | (79) all_240_0 = 0 & all_240_1 = 0
% 23.20/4.31 | | | | | | | |
% 23.20/4.31 | | | | | | | | ALPHA: (79) implies:
% 23.20/4.31 | | | | | | | | (80) all_240_1 = 0
% 23.20/4.31 | | | | | | | | (81) all_240_0 = 0
% 23.20/4.31 | | | | | | | |
% 23.20/4.31 | | | | | | | | REDUCE: (76), (80) imply:
% 23.20/4.31 | | | | | | | | (82) xsd_string(all_240_2) = 0
% 23.20/4.31 | | | | | | | |
% 23.20/4.31 | | | | | | | | REDUCE: (75), (81) imply:
% 23.20/4.31 | | | | | | | | (83) xsd_integer(all_240_2) = 0
% 23.20/4.31 | | | | | | | |
% 23.20/4.31 | | | | | | | | GROUND_INST: instantiating (3) with all_240_2, simplifying with
% 23.20/4.31 | | | | | | | | (74), (82) gives:
% 23.20/4.31 | | | | | | | | (84) ? [v0: int] : ( ~ (v0 = 0) & xsd_integer(all_240_2) =
% 23.20/4.31 | | | | | | | | v0)
% 23.20/4.31 | | | | | | | |
% 23.20/4.31 | | | | | | | | DELTA: instantiating (84) with fresh symbol all_254_0 gives:
% 23.20/4.31 | | | | | | | | (85) ~ (all_254_0 = 0) & xsd_integer(all_240_2) = all_254_0
% 23.20/4.31 | | | | | | | |
% 23.20/4.31 | | | | | | | | ALPHA: (85) implies:
% 23.43/4.31 | | | | | | | | (86) ~ (all_254_0 = 0)
% 23.43/4.31 | | | | | | | | (87) xsd_integer(all_240_2) = all_254_0
% 23.43/4.31 | | | | | | | |
% 23.43/4.31 | | | | | | | | GROUND_INST: instantiating (15) with 0, all_254_0, all_240_2,
% 23.43/4.31 | | | | | | | | simplifying with (83), (87) gives:
% 23.43/4.31 | | | | | | | | (88) all_254_0 = 0
% 23.43/4.31 | | | | | | | |
% 23.43/4.31 | | | | | | | | REDUCE: (86), (88) imply:
% 23.43/4.31 | | | | | | | | (89) $false
% 23.43/4.31 | | | | | | | |
% 23.43/4.31 | | | | | | | | CLOSE: (89) is inconsistent.
% 23.43/4.31 | | | | | | | |
% 23.43/4.31 | | | | | | | Case 2:
% 23.43/4.31 | | | | | | | |
% 23.43/4.31 | | | | | | | | (90) ~ (all_240_0 = 0) & ~ (all_240_1 = 0)
% 23.43/4.31 | | | | | | | |
% 23.43/4.31 | | | | | | | | ALPHA: (90) implies:
% 23.43/4.31 | | | | | | | | (91) ~ (all_240_1 = 0)
% 23.43/4.31 | | | | | | | | (92) ~ (all_240_0 = 0)
% 23.43/4.31 | | | | | | | |
% 23.43/4.31 | | | | | | | | BETA: splitting (78) gives:
% 23.43/4.31 | | | | | | | |
% 23.43/4.31 | | | | | | | | Case 1:
% 23.43/4.31 | | | | | | | | |
% 23.43/4.31 | | | | | | | | | (93) xsd_integer(all_240_2) = 0
% 23.43/4.31 | | | | | | | | |
% 23.43/4.31 | | | | | | | | | GROUND_INST: instantiating (15) with all_240_0, 0, all_240_2,
% 23.43/4.31 | | | | | | | | | simplifying with (75), (93) gives:
% 23.43/4.31 | | | | | | | | | (94) all_240_0 = 0
% 23.43/4.31 | | | | | | | | |
% 23.43/4.31 | | | | | | | | | REDUCE: (92), (94) imply:
% 23.43/4.31 | | | | | | | | | (95) $false
% 23.43/4.31 | | | | | | | | |
% 23.43/4.31 | | | | | | | | | CLOSE: (95) is inconsistent.
% 23.43/4.31 | | | | | | | | |
% 23.43/4.31 | | | | | | | | Case 2:
% 23.43/4.31 | | | | | | | | |
% 23.43/4.31 | | | | | | | | | (96) all_240_1 = 0
% 23.43/4.31 | | | | | | | | |
% 23.43/4.31 | | | | | | | | | REDUCE: (91), (96) imply:
% 23.43/4.31 | | | | | | | | | (97) $false
% 23.43/4.31 | | | | | | | | |
% 23.43/4.31 | | | | | | | | | CLOSE: (97) is inconsistent.
% 23.43/4.31 | | | | | | | | |
% 23.43/4.31 | | | | | | | | End of split
% 23.43/4.31 | | | | | | | |
% 23.43/4.31 | | | | | | | End of split
% 23.43/4.31 | | | | | | |
% 23.43/4.31 | | | | | | Case 2:
% 23.43/4.31 | | | | | | |
% 23.43/4.31 | | | | | | | (98) ? [v0: $i] : ? [v1: any] : ? [v2: any] :
% 23.43/4.31 | | | | | | | (cowlNothing(v0) = v2 & cowlThing(v0) = v1 & $i(v0) & ( ~
% 23.43/4.31 | | | | | | | (v1 = 0) | v2 = 0))
% 23.43/4.31 | | | | | | |
% 23.43/4.31 | | | | | | | DELTA: instantiating (98) with fresh symbols all_240_0, all_240_1,
% 23.43/4.31 | | | | | | | all_240_2 gives:
% 23.43/4.31 | | | | | | | (99) cowlNothing(all_240_2) = all_240_0 & cowlThing(all_240_2)
% 23.43/4.31 | | | | | | | = all_240_1 & $i(all_240_2) & ( ~ (all_240_1 = 0) |
% 23.43/4.31 | | | | | | | all_240_0 = 0)
% 23.43/4.31 | | | | | | |
% 23.43/4.31 | | | | | | | ALPHA: (99) implies:
% 23.43/4.31 | | | | | | | (100) $i(all_240_2)
% 23.43/4.31 | | | | | | | (101) cowlThing(all_240_2) = all_240_1
% 23.43/4.31 | | | | | | | (102) cowlNothing(all_240_2) = all_240_0
% 23.43/4.31 | | | | | | | (103) ~ (all_240_1 = 0) | all_240_0 = 0
% 23.43/4.31 | | | | | | |
% 23.43/4.31 | | | | | | | GROUND_INST: instantiating (2) with all_240_2, all_240_1,
% 23.43/4.31 | | | | | | | simplifying with (100), (101) gives:
% 23.43/4.31 | | | | | | | (104) all_240_1 = 0
% 23.43/4.31 | | | | | | |
% 23.43/4.31 | | | | | | | BETA: splitting (103) gives:
% 23.43/4.31 | | | | | | |
% 23.43/4.31 | | | | | | | Case 1:
% 23.43/4.31 | | | | | | | |
% 23.43/4.31 | | | | | | | | (105) ~ (all_240_1 = 0)
% 23.43/4.31 | | | | | | | |
% 23.43/4.31 | | | | | | | | REDUCE: (104), (105) imply:
% 23.43/4.31 | | | | | | | | (106) $false
% 23.43/4.31 | | | | | | | |
% 23.43/4.31 | | | | | | | | CLOSE: (106) is inconsistent.
% 23.43/4.31 | | | | | | | |
% 23.43/4.31 | | | | | | | Case 2:
% 23.43/4.32 | | | | | | | |
% 23.43/4.32 | | | | | | | | (107) all_240_0 = 0
% 23.43/4.32 | | | | | | | |
% 23.43/4.32 | | | | | | | | REDUCE: (102), (107) imply:
% 23.43/4.32 | | | | | | | | (108) cowlNothing(all_240_2) = 0
% 23.43/4.32 | | | | | | | |
% 23.43/4.32 | | | | | | | | GROUND_INST: instantiating (1) with all_240_2, simplifying with
% 23.43/4.32 | | | | | | | | (100), (108) gives:
% 23.43/4.32 | | | | | | | | (109) $false
% 23.43/4.32 | | | | | | | |
% 23.43/4.32 | | | | | | | | CLOSE: (109) is inconsistent.
% 23.43/4.32 | | | | | | | |
% 23.43/4.32 | | | | | | | End of split
% 23.43/4.32 | | | | | | |
% 23.43/4.32 | | | | | | End of split
% 23.43/4.32 | | | | | |
% 23.43/4.32 | | | | | End of split
% 23.43/4.32 | | | | |
% 23.43/4.32 | | | | End of split
% 23.43/4.32 | | | |
% 23.43/4.32 | | | End of split
% 23.43/4.32 | | |
% 23.43/4.32 | | End of split
% 23.43/4.32 | |
% 23.43/4.32 | End of split
% 23.43/4.32 |
% 23.43/4.32 End of proof
% 23.43/4.32 % SZS output end Proof for theBenchmark
% 23.43/4.32
% 23.43/4.32 3673ms
%------------------------------------------------------------------------------