TSTP Solution File: KRS175+1 by Princess---230619
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%------------------------------------------------------------------------------
% File : Princess---230619
% Problem : KRS175+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 : n032.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 05:51:32 EDT 2023
% Result : Theorem 4.42s 1.34s
% Output : Proof 7.42s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09 % Problem : KRS175+1 : TPTP v8.1.2. Released v3.1.0.
% 0.00/0.10 % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s
% 0.09/0.29 % Computer : n032.cluster.edu
% 0.09/0.29 % Model : x86_64 x86_64
% 0.09/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.29 % Memory : 8042.1875MB
% 0.09/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.29 % CPULimit : 300
% 0.09/0.29 % WCLimit : 300
% 0.09/0.29 % DateTime : Mon Aug 28 01:34:00 EDT 2023
% 0.09/0.29 % CPUTime :
% 0.15/0.49 ________ _____
% 0.15/0.49 ___ __ \_________(_)________________________________
% 0.15/0.49 __ /_/ /_ ___/_ /__ __ \ ___/ _ \_ ___/_ ___/
% 0.15/0.49 _ ____/_ / _ / _ / / / /__ / __/(__ )_(__ )
% 0.15/0.49 /_/ /_/ /_/ /_/ /_/\___/ \___//____/ /____/
% 0.15/0.49
% 0.15/0.49 A Theorem Prover for First-Order Logic modulo Linear Integer Arithmetic
% 0.15/0.49 (2023-06-19)
% 0.15/0.49
% 0.15/0.49 (c) Philipp Rümmer, 2009-2023
% 0.15/0.49 Contributors: Peter Backeman, Peter Baumgartner, Angelo Brillout, Zafer Esen,
% 0.15/0.49 Amanda Stjerna.
% 0.15/0.49 Free software under BSD-3-Clause.
% 0.15/0.49
% 0.15/0.49 For more information, visit http://www.philipp.ruemmer.org/princess.shtml
% 0.15/0.49
% 0.15/0.49 Loading /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 0.15/0.50 Running up to 7 provers in parallel.
% 0.15/0.51 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1571432423
% 0.15/0.51 Prover 0: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893
% 0.15/0.51 Prover 2: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1065072994
% 0.15/0.51 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696
% 0.15/0.51 Prover 5: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288
% 0.15/0.51 Prover 3: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996
% 0.15/0.51 Prover 6: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365
% 1.94/0.85 Prover 1: Preprocessing ...
% 1.94/0.85 Prover 4: Preprocessing ...
% 1.95/0.89 Prover 0: Preprocessing ...
% 1.95/0.89 Prover 3: Preprocessing ...
% 1.95/0.89 Prover 6: Preprocessing ...
% 1.95/0.89 Prover 2: Preprocessing ...
% 1.95/0.89 Prover 5: Preprocessing ...
% 3.62/1.10 Prover 5: Proving ...
% 3.62/1.10 Prover 2: Proving ...
% 3.62/1.12 Prover 3: Constructing countermodel ...
% 3.62/1.12 Prover 6: Constructing countermodel ...
% 4.02/1.15 Prover 1: Constructing countermodel ...
% 4.02/1.16 Prover 4: Constructing countermodel ...
% 4.02/1.19 Prover 0: Proving ...
% 4.42/1.24 Prover 3: gave up
% 4.42/1.25 Prover 7: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470
% 4.42/1.26 Prover 6: gave up
% 4.42/1.28 Prover 8: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089
% 4.42/1.28 Prover 7: Preprocessing ...
% 4.42/1.32 Prover 8: Preprocessing ...
% 4.42/1.34 Prover 2: proved (831ms)
% 4.42/1.34
% 4.42/1.34 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 4.42/1.34
% 4.42/1.35 Prover 0: stopped
% 4.42/1.35 Prover 10: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=919308125
% 4.42/1.35 Prover 5: stopped
% 4.42/1.35 Prover 11: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1509710984
% 4.42/1.35 Prover 7: Warning: ignoring some quantifiers
% 4.42/1.35 Prover 13: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=1138197443
% 4.42/1.35 Prover 7: Constructing countermodel ...
% 4.42/1.35 Prover 1: gave up
% 4.42/1.35 Prover 16: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=completeFrugal -randomSeed=-2043353683
% 4.42/1.37 Prover 10: Preprocessing ...
% 4.42/1.37 Prover 11: Preprocessing ...
% 4.42/1.38 Prover 13: Preprocessing ...
% 5.45/1.38 Prover 16: Preprocessing ...
% 5.45/1.40 Prover 10: Warning: ignoring some quantifiers
% 5.45/1.41 Prover 10: Constructing countermodel ...
% 5.45/1.41 Prover 16: Warning: ignoring some quantifiers
% 5.45/1.42 Prover 13: Warning: ignoring some quantifiers
% 5.45/1.42 Prover 13: Constructing countermodel ...
% 5.45/1.42 Prover 8: Warning: ignoring some quantifiers
% 5.45/1.43 Prover 8: Constructing countermodel ...
% 5.45/1.43 Prover 16: Constructing countermodel ...
% 5.45/1.46 Prover 7: gave up
% 6.37/1.48 Prover 19: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=-1780594085
% 6.37/1.48 Prover 13: gave up
% 6.37/1.48 Prover 16: gave up
% 6.37/1.49 Prover 11: Constructing countermodel ...
% 6.37/1.49 Prover 19: Preprocessing ...
% 6.37/1.50 Prover 10: gave up
% 6.37/1.52 Prover 4: Found proof (size 81)
% 6.37/1.52 Prover 4: proved (1006ms)
% 6.37/1.52 Prover 8: stopped
% 6.37/1.52 Prover 11: stopped
% 6.79/1.55 Prover 19: Warning: ignoring some quantifiers
% 6.79/1.55 Prover 19: Constructing countermodel ...
% 6.79/1.55 Prover 19: stopped
% 6.79/1.56
% 6.79/1.56 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 6.79/1.56
% 6.79/1.57 % SZS output start Proof for theBenchmark
% 6.79/1.57 Assumptions after simplification:
% 6.79/1.57 ---------------------------------
% 6.79/1.57
% 6.79/1.57 (axiom_0)
% 6.79/1.60 ! [v0: $i] : ! [v1: int] : (v1 = 0 | ~ (cowlThing(v0) = v1) | ~ $i(v0)) &
% 6.79/1.60 ! [v0: $i] : ( ~ (cowlNothing(v0) = 0) | ~ $i(v0))
% 6.79/1.60
% 6.79/1.60 (axiom_1)
% 6.79/1.60 ! [v0: $i] : ! [v1: int] : (v1 = 0 | ~ (xsd_string(v0) = v1) | ~ $i(v0) |
% 6.79/1.60 xsd_integer(v0) = 0) & ! [v0: $i] : ! [v1: int] : (v1 = 0 | ~
% 6.79/1.60 (xsd_integer(v0) = v1) | ~ $i(v0) | xsd_string(v0) = 0) & ! [v0: $i] : ( ~
% 6.79/1.60 (xsd_string(v0) = 0) | ~ $i(v0) | ? [v1: int] : ( ~ (v1 = 0) &
% 6.79/1.60 xsd_integer(v0) = v1)) & ! [v0: $i] : ( ~ (xsd_integer(v0) = 0) | ~
% 6.79/1.60 $i(v0) | ? [v1: int] : ( ~ (v1 = 0) & xsd_string(v0) = v1))
% 6.79/1.60
% 6.79/1.60 (axiom_2)
% 6.79/1.60 $i(ia) & ! [v0: $i] : (v0 = ia | ~ (cA(v0) = 0) | ~ $i(v0)) & ! [v0: int]
% 6.79/1.60 : (v0 = 0 | ~ (cA(ia) = v0))
% 6.79/1.60
% 6.79/1.60 (axiom_3)
% 6.79/1.61 ! [v0: $i] : ! [v1: int] : (v1 = 0 | ~ (cB(v0) = v1) | ~ $i(v0) | ? [v2:
% 6.79/1.61 any] : ? [v3: any] : (cA_and_B(v0) = v2 & cA(v0) = v3 & ( ~ (v2 = 0) | v3
% 6.79/1.61 = 0))) & ! [v0: $i] : ! [v1: int] : (v1 = 0 | ~ (cA_and_B(v0) = v1) |
% 6.79/1.61 ~ $i(v0) | ? [v2: int] : ? [v3: int] : ( ~ (v3 = 0) & ~ (v2 = 0) &
% 6.79/1.61 cB(v0) = v3 & cA(v0) = v2)) & ! [v0: $i] : ! [v1: int] : (v1 = 0 | ~
% 6.79/1.61 (cA(v0) = v1) | ~ $i(v0) | ? [v2: any] : ? [v3: any] : (cB(v0) = v3 &
% 6.79/1.61 cA_and_B(v0) = v2 & ( ~ (v2 = 0) | v3 = 0))) & ! [v0: $i] : ! [v1: any]
% 6.79/1.61 : ( ~ (cB(v0) = v1) | ~ $i(v0) | ? [v2: any] : ? [v3: any] : (cA_and_B(v0)
% 6.79/1.61 = v3 & cA(v0) = v2 & (v3 = 0 | ( ~ (v2 = 0) & ~ (v1 = 0))))) & ! [v0:
% 6.79/1.61 $i] : ! [v1: any] : ( ~ (cA(v0) = v1) | ~ $i(v0) | ? [v2: any] : ? [v3:
% 6.79/1.61 any] : (cB(v0) = v2 & cA_and_B(v0) = v3 & (v3 = 0 | ( ~ (v2 = 0) & ~ (v1
% 6.79/1.61 = 0))))) & ! [v0: $i] : ( ~ (cA_and_B(v0) = 0) | ~ $i(v0) | ?
% 6.79/1.61 [v1: any] : ? [v2: any] : (cB(v0) = v2 & cA(v0) = v1 & (v2 = 0 | v1 = 0)))
% 6.79/1.61
% 6.79/1.61 (axiom_4)
% 6.79/1.61 $i(ib) & ! [v0: $i] : (v0 = ib | ~ (cB(v0) = 0) | ~ $i(v0)) & ! [v0: int]
% 6.79/1.61 : (v0 = 0 | ~ (cB(ib) = v0))
% 6.79/1.61
% 6.79/1.61 (axiom_5)
% 6.79/1.61 cowlThing(ia) = 0 & $i(ia)
% 6.79/1.61
% 6.79/1.61 (axiom_6)
% 6.79/1.61 cowlThing(ib) = 0 & $i(ib)
% 6.79/1.61
% 6.79/1.61 (the_axiom)
% 7.15/1.62 $i(ib) & $i(ia) & ? [v0: any] : ? [v1: any] : ? [v2: $i] : ? [v3: any] :
% 7.15/1.62 ? [v4: $i] : ? [v5: any] : ? [v6: any] : ? [v7: $i] : ? [v8: any] : ?
% 7.15/1.62 [v9: any] : (cowlThing(ib) = v1 & cowlThing(ia) = v0 & $i(v7) & $i(v4) &
% 7.15/1.62 $i(v2) & ( ~ (v1 = 0) | ~ (v0 = 0) | (xsd_string(v4) = v5 & xsd_integer(v4)
% 7.15/1.62 = v6 & ((v6 = 0 & v5 = 0) | ( ~ (v6 = 0) & ~ (v5 = 0)))) |
% 7.15/1.62 (cowlThing(v7) = v8 & cowlNothing(v7) = v9 & ( ~ (v8 = 0) | v9 = 0)) |
% 7.15/1.62 (cA_and_B(v2) = v3 & ((v3 = 0 & ~ (v2 = ib) & ~ (v2 = ia)) | ( ~ (v3 =
% 7.15/1.62 0) & (v2 = ib | v2 = ia))))))
% 7.15/1.62
% 7.15/1.62 (function-axioms)
% 7.15/1.62 ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : (v1 =
% 7.15/1.62 v0 | ~ (xsd_string(v2) = v1) | ~ (xsd_string(v2) = v0)) & ! [v0:
% 7.15/1.62 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 |
% 7.15/1.62 ~ (xsd_integer(v2) = v1) | ~ (xsd_integer(v2) = v0)) & ! [v0:
% 7.15/1.62 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 |
% 7.15/1.62 ~ (cowlThing(v2) = v1) | ~ (cowlThing(v2) = v0)) & ! [v0:
% 7.15/1.62 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 |
% 7.15/1.62 ~ (cowlNothing(v2) = v1) | ~ (cowlNothing(v2) = v0)) & ! [v0:
% 7.15/1.62 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 |
% 7.15/1.62 ~ (cB(v2) = v1) | ~ (cB(v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1:
% 7.15/1.62 MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~ (cA_and_B(v2) = v1) | ~
% 7.15/1.62 (cA_and_B(v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1:
% 7.15/1.62 MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~ (cA(v2) = v1) | ~ (cA(v2)
% 7.15/1.62 = v0))
% 7.15/1.63
% 7.15/1.63 Further assumptions not needed in the proof:
% 7.15/1.63 --------------------------------------------
% 7.15/1.63 cA_and_B_substitution_1, cA_substitution_1, cB_substitution_1,
% 7.15/1.63 cowlNothing_substitution_1, cowlThing_substitution_1,
% 7.15/1.63 xsd_integer_substitution_1, xsd_string_substitution_1
% 7.15/1.63
% 7.15/1.63 Those formulas are unsatisfiable:
% 7.15/1.63 ---------------------------------
% 7.15/1.63
% 7.15/1.63 Begin of proof
% 7.15/1.63 |
% 7.15/1.63 | ALPHA: (axiom_0) implies:
% 7.15/1.63 | (1) ! [v0: $i] : ( ~ (cowlNothing(v0) = 0) | ~ $i(v0))
% 7.15/1.63 | (2) ! [v0: $i] : ! [v1: int] : (v1 = 0 | ~ (cowlThing(v0) = v1) | ~
% 7.15/1.63 | $i(v0))
% 7.15/1.63 |
% 7.15/1.63 | ALPHA: (axiom_1) implies:
% 7.15/1.63 | (3) ! [v0: $i] : ( ~ (xsd_string(v0) = 0) | ~ $i(v0) | ? [v1: int] : ( ~
% 7.15/1.63 | (v1 = 0) & xsd_integer(v0) = v1))
% 7.15/1.63 | (4) ! [v0: $i] : ! [v1: int] : (v1 = 0 | ~ (xsd_integer(v0) = v1) | ~
% 7.15/1.63 | $i(v0) | xsd_string(v0) = 0)
% 7.15/1.63 |
% 7.15/1.63 | ALPHA: (axiom_2) implies:
% 7.15/1.63 | (5) ! [v0: int] : (v0 = 0 | ~ (cA(ia) = v0))
% 7.15/1.63 | (6) ! [v0: $i] : (v0 = ia | ~ (cA(v0) = 0) | ~ $i(v0))
% 7.15/1.63 |
% 7.15/1.63 | ALPHA: (axiom_3) implies:
% 7.15/1.63 | (7) ! [v0: $i] : ( ~ (cA_and_B(v0) = 0) | ~ $i(v0) | ? [v1: any] : ?
% 7.15/1.63 | [v2: any] : (cB(v0) = v2 & cA(v0) = v1 & (v2 = 0 | v1 = 0)))
% 7.15/1.63 | (8) ! [v0: $i] : ! [v1: int] : (v1 = 0 | ~ (cA_and_B(v0) = v1) | ~
% 7.15/1.63 | $i(v0) | ? [v2: int] : ? [v3: int] : ( ~ (v3 = 0) & ~ (v2 = 0) &
% 7.15/1.63 | cB(v0) = v3 & cA(v0) = v2))
% 7.15/1.63 |
% 7.15/1.63 | ALPHA: (axiom_4) implies:
% 7.15/1.64 | (9) ! [v0: int] : (v0 = 0 | ~ (cB(ib) = v0))
% 7.15/1.64 | (10) ! [v0: $i] : (v0 = ib | ~ (cB(v0) = 0) | ~ $i(v0))
% 7.15/1.64 |
% 7.15/1.64 | ALPHA: (axiom_5) implies:
% 7.15/1.64 | (11) cowlThing(ia) = 0
% 7.15/1.64 |
% 7.15/1.64 | ALPHA: (axiom_6) implies:
% 7.15/1.64 | (12) cowlThing(ib) = 0
% 7.15/1.64 |
% 7.15/1.64 | ALPHA: (the_axiom) implies:
% 7.15/1.64 | (13) ? [v0: any] : ? [v1: any] : ? [v2: $i] : ? [v3: any] : ? [v4: $i]
% 7.15/1.64 | : ? [v5: any] : ? [v6: any] : ? [v7: $i] : ? [v8: any] : ? [v9:
% 7.15/1.64 | any] : (cowlThing(ib) = v1 & cowlThing(ia) = v0 & $i(v7) & $i(v4) &
% 7.15/1.64 | $i(v2) & ( ~ (v1 = 0) | ~ (v0 = 0) | (xsd_string(v4) = v5 &
% 7.15/1.64 | xsd_integer(v4) = v6 & ((v6 = 0 & v5 = 0) | ( ~ (v6 = 0) & ~
% 7.15/1.64 | (v5 = 0)))) | (cowlThing(v7) = v8 & cowlNothing(v7) = v9 & (
% 7.15/1.64 | ~ (v8 = 0) | v9 = 0)) | (cA_and_B(v2) = v3 & ((v3 = 0 & ~ (v2
% 7.15/1.64 | = ib) & ~ (v2 = ia)) | ( ~ (v3 = 0) & (v2 = ib | v2 =
% 7.15/1.64 | ia))))))
% 7.15/1.64 |
% 7.15/1.64 | ALPHA: (function-axioms) implies:
% 7.15/1.64 | (14) ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i]
% 7.15/1.64 | : (v1 = v0 | ~ (cowlThing(v2) = v1) | ~ (cowlThing(v2) = v0))
% 7.15/1.64 | (15) ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i]
% 7.15/1.64 | : (v1 = v0 | ~ (xsd_integer(v2) = v1) | ~ (xsd_integer(v2) = v0))
% 7.15/1.64 | (16) ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i]
% 7.15/1.64 | : (v1 = v0 | ~ (xsd_string(v2) = v1) | ~ (xsd_string(v2) = v0))
% 7.15/1.64 |
% 7.15/1.64 | DELTA: instantiating (13) with fresh symbols all_9_0, all_9_1, all_9_2,
% 7.15/1.64 | all_9_3, all_9_4, all_9_5, all_9_6, all_9_7, all_9_8, all_9_9 gives:
% 7.15/1.64 | (17) cowlThing(ib) = all_9_8 & cowlThing(ia) = all_9_9 & $i(all_9_2) &
% 7.15/1.64 | $i(all_9_5) & $i(all_9_7) & ( ~ (all_9_8 = 0) | ~ (all_9_9 = 0) |
% 7.15/1.64 | (xsd_string(all_9_5) = all_9_4 & xsd_integer(all_9_5) = all_9_3 &
% 7.15/1.64 | ((all_9_3 = 0 & all_9_4 = 0) | ( ~ (all_9_3 = 0) & ~ (all_9_4 =
% 7.15/1.64 | 0)))) | (cowlThing(all_9_2) = all_9_1 & cowlNothing(all_9_2)
% 7.15/1.64 | = all_9_0 & ( ~ (all_9_1 = 0) | all_9_0 = 0)) | (cA_and_B(all_9_7)
% 7.15/1.64 | = all_9_6 & ((all_9_6 = 0 & ~ (all_9_7 = ib) & ~ (all_9_7 = ia))
% 7.15/1.64 | | ( ~ (all_9_6 = 0) & (all_9_7 = ib | all_9_7 = ia)))))
% 7.15/1.64 |
% 7.15/1.64 | ALPHA: (17) implies:
% 7.15/1.65 | (18) $i(all_9_7)
% 7.15/1.65 | (19) $i(all_9_5)
% 7.15/1.65 | (20) $i(all_9_2)
% 7.15/1.65 | (21) cowlThing(ia) = all_9_9
% 7.15/1.65 | (22) cowlThing(ib) = all_9_8
% 7.15/1.65 | (23) ~ (all_9_8 = 0) | ~ (all_9_9 = 0) | (xsd_string(all_9_5) = all_9_4 &
% 7.15/1.65 | xsd_integer(all_9_5) = all_9_3 & ((all_9_3 = 0 & all_9_4 = 0) | ( ~
% 7.15/1.65 | (all_9_3 = 0) & ~ (all_9_4 = 0)))) | (cowlThing(all_9_2) =
% 7.15/1.65 | all_9_1 & cowlNothing(all_9_2) = all_9_0 & ( ~ (all_9_1 = 0) |
% 7.15/1.65 | all_9_0 = 0)) | (cA_and_B(all_9_7) = all_9_6 & ((all_9_6 = 0 & ~
% 7.15/1.65 | (all_9_7 = ib) & ~ (all_9_7 = ia)) | ( ~ (all_9_6 = 0) &
% 7.15/1.65 | (all_9_7 = ib | all_9_7 = ia))))
% 7.15/1.65 |
% 7.15/1.65 | GROUND_INST: instantiating (14) with 0, all_9_9, ia, simplifying with (11),
% 7.15/1.65 | (21) gives:
% 7.15/1.65 | (24) all_9_9 = 0
% 7.15/1.65 |
% 7.15/1.65 | GROUND_INST: instantiating (14) with 0, all_9_8, ib, simplifying with (12),
% 7.15/1.65 | (22) gives:
% 7.15/1.65 | (25) all_9_8 = 0
% 7.15/1.65 |
% 7.15/1.65 | BETA: splitting (23) gives:
% 7.15/1.65 |
% 7.15/1.65 | Case 1:
% 7.15/1.65 | |
% 7.15/1.65 | | (26) ~ (all_9_8 = 0)
% 7.15/1.65 | |
% 7.15/1.65 | | REDUCE: (25), (26) imply:
% 7.15/1.65 | | (27) $false
% 7.15/1.65 | |
% 7.15/1.65 | | CLOSE: (27) is inconsistent.
% 7.15/1.65 | |
% 7.15/1.65 | Case 2:
% 7.15/1.65 | |
% 7.15/1.65 | | (28) ~ (all_9_9 = 0) | (xsd_string(all_9_5) = all_9_4 &
% 7.15/1.65 | | xsd_integer(all_9_5) = all_9_3 & ((all_9_3 = 0 & all_9_4 = 0) | (
% 7.15/1.65 | | ~ (all_9_3 = 0) & ~ (all_9_4 = 0)))) | (cowlThing(all_9_2) =
% 7.15/1.65 | | all_9_1 & cowlNothing(all_9_2) = all_9_0 & ( ~ (all_9_1 = 0) |
% 7.15/1.65 | | all_9_0 = 0)) | (cA_and_B(all_9_7) = all_9_6 & ((all_9_6 = 0 &
% 7.15/1.65 | | ~ (all_9_7 = ib) & ~ (all_9_7 = ia)) | ( ~ (all_9_6 = 0) &
% 7.15/1.65 | | (all_9_7 = ib | all_9_7 = ia))))
% 7.15/1.65 | |
% 7.15/1.65 | | BETA: splitting (28) gives:
% 7.15/1.65 | |
% 7.15/1.65 | | Case 1:
% 7.15/1.65 | | |
% 7.15/1.65 | | | (29) ~ (all_9_9 = 0)
% 7.15/1.65 | | |
% 7.15/1.65 | | | REDUCE: (24), (29) imply:
% 7.15/1.65 | | | (30) $false
% 7.15/1.65 | | |
% 7.15/1.65 | | | CLOSE: (30) is inconsistent.
% 7.15/1.65 | | |
% 7.15/1.65 | | Case 2:
% 7.15/1.65 | | |
% 7.15/1.65 | | | (31) (xsd_string(all_9_5) = all_9_4 & xsd_integer(all_9_5) = all_9_3 &
% 7.15/1.65 | | | ((all_9_3 = 0 & all_9_4 = 0) | ( ~ (all_9_3 = 0) & ~ (all_9_4 =
% 7.15/1.65 | | | 0)))) | (cowlThing(all_9_2) = all_9_1 &
% 7.15/1.65 | | | cowlNothing(all_9_2) = all_9_0 & ( ~ (all_9_1 = 0) | all_9_0 =
% 7.15/1.65 | | | 0)) | (cA_and_B(all_9_7) = all_9_6 & ((all_9_6 = 0 & ~
% 7.15/1.65 | | | (all_9_7 = ib) & ~ (all_9_7 = ia)) | ( ~ (all_9_6 = 0) &
% 7.15/1.65 | | | (all_9_7 = ib | all_9_7 = ia))))
% 7.15/1.65 | | |
% 7.15/1.65 | | | BETA: splitting (31) gives:
% 7.15/1.65 | | |
% 7.15/1.65 | | | Case 1:
% 7.15/1.65 | | | |
% 7.15/1.66 | | | | (32) xsd_string(all_9_5) = all_9_4 & xsd_integer(all_9_5) = all_9_3 &
% 7.15/1.66 | | | | ((all_9_3 = 0 & all_9_4 = 0) | ( ~ (all_9_3 = 0) & ~ (all_9_4 =
% 7.15/1.66 | | | | 0)))
% 7.15/1.66 | | | |
% 7.15/1.66 | | | | ALPHA: (32) implies:
% 7.15/1.66 | | | | (33) xsd_integer(all_9_5) = all_9_3
% 7.15/1.66 | | | | (34) xsd_string(all_9_5) = all_9_4
% 7.15/1.66 | | | | (35) (all_9_3 = 0 & all_9_4 = 0) | ( ~ (all_9_3 = 0) & ~ (all_9_4 =
% 7.15/1.66 | | | | 0))
% 7.15/1.66 | | | |
% 7.15/1.66 | | | | GROUND_INST: instantiating (4) with all_9_5, all_9_3, simplifying with
% 7.15/1.66 | | | | (19), (33) gives:
% 7.15/1.66 | | | | (36) all_9_3 = 0 | xsd_string(all_9_5) = 0
% 7.15/1.66 | | | |
% 7.15/1.66 | | | | BETA: splitting (35) gives:
% 7.15/1.66 | | | |
% 7.15/1.66 | | | | Case 1:
% 7.15/1.66 | | | | |
% 7.15/1.66 | | | | | (37) all_9_3 = 0 & all_9_4 = 0
% 7.15/1.66 | | | | |
% 7.15/1.66 | | | | | ALPHA: (37) implies:
% 7.15/1.66 | | | | | (38) all_9_4 = 0
% 7.15/1.66 | | | | | (39) all_9_3 = 0
% 7.15/1.66 | | | | |
% 7.15/1.66 | | | | | REDUCE: (34), (38) imply:
% 7.15/1.66 | | | | | (40) xsd_string(all_9_5) = 0
% 7.15/1.66 | | | | |
% 7.15/1.66 | | | | | REDUCE: (33), (39) imply:
% 7.15/1.66 | | | | | (41) xsd_integer(all_9_5) = 0
% 7.15/1.66 | | | | |
% 7.15/1.66 | | | | | GROUND_INST: instantiating (3) with all_9_5, simplifying with (19),
% 7.15/1.66 | | | | | (40) gives:
% 7.15/1.66 | | | | | (42) ? [v0: int] : ( ~ (v0 = 0) & xsd_integer(all_9_5) = v0)
% 7.15/1.66 | | | | |
% 7.15/1.66 | | | | | DELTA: instantiating (42) with fresh symbol all_48_0 gives:
% 7.15/1.66 | | | | | (43) ~ (all_48_0 = 0) & xsd_integer(all_9_5) = all_48_0
% 7.15/1.66 | | | | |
% 7.15/1.66 | | | | | ALPHA: (43) implies:
% 7.15/1.66 | | | | | (44) ~ (all_48_0 = 0)
% 7.15/1.66 | | | | | (45) xsd_integer(all_9_5) = all_48_0
% 7.15/1.66 | | | | |
% 7.15/1.66 | | | | | GROUND_INST: instantiating (15) with 0, all_48_0, all_9_5, simplifying
% 7.15/1.66 | | | | | with (41), (45) gives:
% 7.15/1.66 | | | | | (46) all_48_0 = 0
% 7.15/1.66 | | | | |
% 7.15/1.66 | | | | | REDUCE: (44), (46) imply:
% 7.15/1.66 | | | | | (47) $false
% 7.15/1.66 | | | | |
% 7.15/1.66 | | | | | CLOSE: (47) is inconsistent.
% 7.15/1.66 | | | | |
% 7.15/1.66 | | | | Case 2:
% 7.15/1.66 | | | | |
% 7.15/1.66 | | | | | (48) ~ (all_9_3 = 0) & ~ (all_9_4 = 0)
% 7.15/1.66 | | | | |
% 7.15/1.66 | | | | | ALPHA: (48) implies:
% 7.15/1.66 | | | | | (49) ~ (all_9_4 = 0)
% 7.15/1.66 | | | | | (50) ~ (all_9_3 = 0)
% 7.15/1.66 | | | | |
% 7.15/1.66 | | | | | BETA: splitting (36) gives:
% 7.15/1.66 | | | | |
% 7.15/1.66 | | | | | Case 1:
% 7.15/1.66 | | | | | |
% 7.15/1.66 | | | | | | (51) xsd_string(all_9_5) = 0
% 7.15/1.66 | | | | | |
% 7.15/1.66 | | | | | | GROUND_INST: instantiating (16) with all_9_4, 0, all_9_5,
% 7.15/1.66 | | | | | | simplifying with (34), (51) gives:
% 7.15/1.66 | | | | | | (52) all_9_4 = 0
% 7.15/1.66 | | | | | |
% 7.15/1.66 | | | | | | REDUCE: (49), (52) imply:
% 7.15/1.66 | | | | | | (53) $false
% 7.15/1.66 | | | | | |
% 7.15/1.66 | | | | | | CLOSE: (53) is inconsistent.
% 7.15/1.66 | | | | | |
% 7.15/1.66 | | | | | Case 2:
% 7.15/1.66 | | | | | |
% 7.15/1.66 | | | | | | (54) all_9_3 = 0
% 7.15/1.66 | | | | | |
% 7.15/1.66 | | | | | | REDUCE: (50), (54) imply:
% 7.15/1.66 | | | | | | (55) $false
% 7.15/1.66 | | | | | |
% 7.15/1.66 | | | | | | CLOSE: (55) is inconsistent.
% 7.15/1.66 | | | | | |
% 7.15/1.66 | | | | | End of split
% 7.15/1.66 | | | | |
% 7.15/1.66 | | | | End of split
% 7.15/1.66 | | | |
% 7.15/1.66 | | | Case 2:
% 7.15/1.66 | | | |
% 7.15/1.67 | | | | (56) (cowlThing(all_9_2) = all_9_1 & cowlNothing(all_9_2) = all_9_0 &
% 7.15/1.67 | | | | ( ~ (all_9_1 = 0) | all_9_0 = 0)) | (cA_and_B(all_9_7) =
% 7.15/1.67 | | | | all_9_6 & ((all_9_6 = 0 & ~ (all_9_7 = ib) & ~ (all_9_7 =
% 7.15/1.67 | | | | ia)) | ( ~ (all_9_6 = 0) & (all_9_7 = ib | all_9_7 =
% 7.15/1.67 | | | | ia))))
% 7.15/1.67 | | | |
% 7.15/1.67 | | | | BETA: splitting (56) gives:
% 7.15/1.67 | | | |
% 7.15/1.67 | | | | Case 1:
% 7.15/1.67 | | | | |
% 7.15/1.67 | | | | | (57) cowlThing(all_9_2) = all_9_1 & cowlNothing(all_9_2) = all_9_0
% 7.15/1.67 | | | | | & ( ~ (all_9_1 = 0) | all_9_0 = 0)
% 7.15/1.67 | | | | |
% 7.15/1.67 | | | | | ALPHA: (57) implies:
% 7.15/1.67 | | | | | (58) cowlNothing(all_9_2) = all_9_0
% 7.15/1.67 | | | | | (59) cowlThing(all_9_2) = all_9_1
% 7.15/1.67 | | | | | (60) ~ (all_9_1 = 0) | all_9_0 = 0
% 7.15/1.67 | | | | |
% 7.15/1.67 | | | | | GROUND_INST: instantiating (2) with all_9_2, all_9_1, simplifying with
% 7.15/1.67 | | | | | (20), (59) gives:
% 7.15/1.67 | | | | | (61) all_9_1 = 0
% 7.15/1.67 | | | | |
% 7.15/1.67 | | | | | BETA: splitting (60) gives:
% 7.15/1.67 | | | | |
% 7.15/1.67 | | | | | Case 1:
% 7.15/1.67 | | | | | |
% 7.15/1.67 | | | | | | (62) ~ (all_9_1 = 0)
% 7.15/1.67 | | | | | |
% 7.15/1.67 | | | | | | REDUCE: (61), (62) imply:
% 7.15/1.67 | | | | | | (63) $false
% 7.15/1.67 | | | | | |
% 7.15/1.67 | | | | | | CLOSE: (63) is inconsistent.
% 7.15/1.67 | | | | | |
% 7.15/1.67 | | | | | Case 2:
% 7.15/1.67 | | | | | |
% 7.15/1.67 | | | | | | (64) all_9_0 = 0
% 7.15/1.67 | | | | | |
% 7.15/1.67 | | | | | | REDUCE: (58), (64) imply:
% 7.15/1.67 | | | | | | (65) cowlNothing(all_9_2) = 0
% 7.15/1.67 | | | | | |
% 7.15/1.67 | | | | | | GROUND_INST: instantiating (1) with all_9_2, simplifying with (20),
% 7.15/1.67 | | | | | | (65) gives:
% 7.15/1.67 | | | | | | (66) $false
% 7.15/1.67 | | | | | |
% 7.15/1.67 | | | | | | CLOSE: (66) is inconsistent.
% 7.15/1.67 | | | | | |
% 7.15/1.67 | | | | | End of split
% 7.15/1.67 | | | | |
% 7.15/1.67 | | | | Case 2:
% 7.15/1.67 | | | | |
% 7.15/1.67 | | | | | (67) cA_and_B(all_9_7) = all_9_6 & ((all_9_6 = 0 & ~ (all_9_7 =
% 7.15/1.67 | | | | | ib) & ~ (all_9_7 = ia)) | ( ~ (all_9_6 = 0) & (all_9_7
% 7.15/1.67 | | | | | = ib | all_9_7 = ia)))
% 7.15/1.67 | | | | |
% 7.15/1.67 | | | | | ALPHA: (67) implies:
% 7.15/1.67 | | | | | (68) cA_and_B(all_9_7) = all_9_6
% 7.15/1.67 | | | | | (69) (all_9_6 = 0 & ~ (all_9_7 = ib) & ~ (all_9_7 = ia)) | ( ~
% 7.15/1.67 | | | | | (all_9_6 = 0) & (all_9_7 = ib | all_9_7 = ia))
% 7.15/1.67 | | | | |
% 7.15/1.67 | | | | | GROUND_INST: instantiating (8) with all_9_7, all_9_6, simplifying with
% 7.15/1.67 | | | | | (18), (68) gives:
% 7.15/1.67 | | | | | (70) all_9_6 = 0 | ? [v0: int] : ? [v1: int] : ( ~ (v1 = 0) & ~
% 7.15/1.67 | | | | | (v0 = 0) & cB(all_9_7) = v1 & cA(all_9_7) = v0)
% 7.15/1.67 | | | | |
% 7.15/1.67 | | | | | BETA: splitting (69) gives:
% 7.15/1.67 | | | | |
% 7.15/1.67 | | | | | Case 1:
% 7.15/1.67 | | | | | |
% 7.15/1.67 | | | | | | (71) all_9_6 = 0 & ~ (all_9_7 = ib) & ~ (all_9_7 = ia)
% 7.15/1.67 | | | | | |
% 7.15/1.67 | | | | | | ALPHA: (71) implies:
% 7.42/1.67 | | | | | | (72) all_9_6 = 0
% 7.42/1.67 | | | | | | (73) ~ (all_9_7 = ia)
% 7.42/1.67 | | | | | | (74) ~ (all_9_7 = ib)
% 7.42/1.67 | | | | | |
% 7.42/1.67 | | | | | | REDUCE: (68), (72) imply:
% 7.42/1.67 | | | | | | (75) cA_and_B(all_9_7) = 0
% 7.42/1.67 | | | | | |
% 7.42/1.67 | | | | | | GROUND_INST: instantiating (7) with all_9_7, simplifying with (18),
% 7.42/1.67 | | | | | | (75) gives:
% 7.42/1.67 | | | | | | (76) ? [v0: any] : ? [v1: any] : (cB(all_9_7) = v1 &
% 7.42/1.67 | | | | | | cA(all_9_7) = v0 & (v1 = 0 | v0 = 0))
% 7.42/1.67 | | | | | |
% 7.42/1.67 | | | | | | DELTA: instantiating (76) with fresh symbols all_48_0, all_48_1
% 7.42/1.67 | | | | | | gives:
% 7.42/1.68 | | | | | | (77) cB(all_9_7) = all_48_0 & cA(all_9_7) = all_48_1 & (all_48_0
% 7.42/1.68 | | | | | | = 0 | all_48_1 = 0)
% 7.42/1.68 | | | | | |
% 7.42/1.68 | | | | | | ALPHA: (77) implies:
% 7.42/1.68 | | | | | | (78) cA(all_9_7) = all_48_1
% 7.42/1.68 | | | | | | (79) cB(all_9_7) = all_48_0
% 7.42/1.68 | | | | | | (80) all_48_0 = 0 | all_48_1 = 0
% 7.42/1.68 | | | | | |
% 7.42/1.68 | | | | | | BETA: splitting (80) gives:
% 7.42/1.68 | | | | | |
% 7.42/1.68 | | | | | | Case 1:
% 7.42/1.68 | | | | | | |
% 7.42/1.68 | | | | | | | (81) all_48_0 = 0
% 7.42/1.68 | | | | | | |
% 7.42/1.68 | | | | | | | REDUCE: (79), (81) imply:
% 7.42/1.68 | | | | | | | (82) cB(all_9_7) = 0
% 7.42/1.68 | | | | | | |
% 7.42/1.68 | | | | | | | GROUND_INST: instantiating (10) with all_9_7, simplifying with
% 7.42/1.68 | | | | | | | (18), (82) gives:
% 7.42/1.68 | | | | | | | (83) all_9_7 = ib
% 7.42/1.68 | | | | | | |
% 7.42/1.68 | | | | | | | REDUCE: (74), (83) imply:
% 7.42/1.68 | | | | | | | (84) $false
% 7.42/1.68 | | | | | | |
% 7.42/1.68 | | | | | | | CLOSE: (84) is inconsistent.
% 7.42/1.68 | | | | | | |
% 7.42/1.68 | | | | | | Case 2:
% 7.42/1.68 | | | | | | |
% 7.42/1.68 | | | | | | | (85) all_48_1 = 0
% 7.42/1.68 | | | | | | |
% 7.42/1.68 | | | | | | | REDUCE: (78), (85) imply:
% 7.42/1.68 | | | | | | | (86) cA(all_9_7) = 0
% 7.42/1.68 | | | | | | |
% 7.42/1.68 | | | | | | | GROUND_INST: instantiating (6) with all_9_7, simplifying with
% 7.42/1.68 | | | | | | | (18), (86) gives:
% 7.42/1.68 | | | | | | | (87) all_9_7 = ia
% 7.42/1.68 | | | | | | |
% 7.42/1.68 | | | | | | | REDUCE: (73), (87) imply:
% 7.42/1.68 | | | | | | | (88) $false
% 7.42/1.68 | | | | | | |
% 7.42/1.68 | | | | | | | CLOSE: (88) is inconsistent.
% 7.42/1.68 | | | | | | |
% 7.42/1.68 | | | | | | End of split
% 7.42/1.68 | | | | | |
% 7.42/1.68 | | | | | Case 2:
% 7.42/1.68 | | | | | |
% 7.42/1.68 | | | | | | (89) ~ (all_9_6 = 0) & (all_9_7 = ib | all_9_7 = ia)
% 7.42/1.68 | | | | | |
% 7.42/1.68 | | | | | | ALPHA: (89) implies:
% 7.42/1.68 | | | | | | (90) ~ (all_9_6 = 0)
% 7.42/1.68 | | | | | | (91) all_9_7 = ib | all_9_7 = ia
% 7.42/1.68 | | | | | |
% 7.42/1.68 | | | | | | BETA: splitting (70) gives:
% 7.42/1.68 | | | | | |
% 7.42/1.68 | | | | | | Case 1:
% 7.42/1.68 | | | | | | |
% 7.42/1.68 | | | | | | | (92) all_9_6 = 0
% 7.42/1.68 | | | | | | |
% 7.42/1.68 | | | | | | | REDUCE: (90), (92) imply:
% 7.42/1.68 | | | | | | | (93) $false
% 7.42/1.68 | | | | | | |
% 7.42/1.68 | | | | | | | CLOSE: (93) is inconsistent.
% 7.42/1.68 | | | | | | |
% 7.42/1.68 | | | | | | Case 2:
% 7.42/1.68 | | | | | | |
% 7.42/1.68 | | | | | | | (94) ? [v0: int] : ? [v1: int] : ( ~ (v1 = 0) & ~ (v0 = 0) &
% 7.42/1.68 | | | | | | | cB(all_9_7) = v1 & cA(all_9_7) = v0)
% 7.42/1.68 | | | | | | |
% 7.42/1.68 | | | | | | | DELTA: instantiating (94) with fresh symbols all_47_0, all_47_1
% 7.42/1.68 | | | | | | | gives:
% 7.42/1.68 | | | | | | | (95) ~ (all_47_0 = 0) & ~ (all_47_1 = 0) & cB(all_9_7) =
% 7.42/1.68 | | | | | | | all_47_0 & cA(all_9_7) = all_47_1
% 7.42/1.68 | | | | | | |
% 7.42/1.68 | | | | | | | ALPHA: (95) implies:
% 7.42/1.68 | | | | | | | (96) ~ (all_47_1 = 0)
% 7.42/1.68 | | | | | | | (97) ~ (all_47_0 = 0)
% 7.42/1.68 | | | | | | | (98) cA(all_9_7) = all_47_1
% 7.42/1.68 | | | | | | | (99) cB(all_9_7) = all_47_0
% 7.42/1.68 | | | | | | |
% 7.42/1.68 | | | | | | | BETA: splitting (91) gives:
% 7.42/1.68 | | | | | | |
% 7.42/1.68 | | | | | | | Case 1:
% 7.42/1.68 | | | | | | | |
% 7.42/1.68 | | | | | | | | (100) all_9_7 = ib
% 7.42/1.68 | | | | | | | |
% 7.42/1.68 | | | | | | | | REDUCE: (99), (100) imply:
% 7.42/1.68 | | | | | | | | (101) cB(ib) = all_47_0
% 7.42/1.68 | | | | | | | |
% 7.42/1.68 | | | | | | | | GROUND_INST: instantiating (9) with all_47_0, simplifying with
% 7.42/1.68 | | | | | | | | (101) gives:
% 7.42/1.68 | | | | | | | | (102) all_47_0 = 0
% 7.42/1.68 | | | | | | | |
% 7.42/1.68 | | | | | | | | REDUCE: (97), (102) imply:
% 7.42/1.68 | | | | | | | | (103) $false
% 7.42/1.68 | | | | | | | |
% 7.42/1.68 | | | | | | | | CLOSE: (103) is inconsistent.
% 7.42/1.68 | | | | | | | |
% 7.42/1.68 | | | | | | | Case 2:
% 7.42/1.68 | | | | | | | |
% 7.42/1.68 | | | | | | | | (104) all_9_7 = ia
% 7.42/1.68 | | | | | | | |
% 7.42/1.68 | | | | | | | | REDUCE: (98), (104) imply:
% 7.42/1.68 | | | | | | | | (105) cA(ia) = all_47_1
% 7.42/1.68 | | | | | | | |
% 7.42/1.68 | | | | | | | | GROUND_INST: instantiating (5) with all_47_1, simplifying with
% 7.42/1.68 | | | | | | | | (105) gives:
% 7.42/1.68 | | | | | | | | (106) all_47_1 = 0
% 7.42/1.68 | | | | | | | |
% 7.42/1.69 | | | | | | | | REDUCE: (96), (106) imply:
% 7.42/1.69 | | | | | | | | (107) $false
% 7.42/1.69 | | | | | | | |
% 7.42/1.69 | | | | | | | | CLOSE: (107) is inconsistent.
% 7.42/1.69 | | | | | | | |
% 7.42/1.69 | | | | | | | End of split
% 7.42/1.69 | | | | | | |
% 7.42/1.69 | | | | | | End of split
% 7.42/1.69 | | | | | |
% 7.42/1.69 | | | | | End of split
% 7.42/1.69 | | | | |
% 7.42/1.69 | | | | End of split
% 7.42/1.69 | | | |
% 7.42/1.69 | | | End of split
% 7.42/1.69 | | |
% 7.42/1.69 | | End of split
% 7.42/1.69 | |
% 7.42/1.69 | End of split
% 7.42/1.69 |
% 7.42/1.69 End of proof
% 7.42/1.69 % SZS output end Proof for theBenchmark
% 7.42/1.69
% 7.42/1.69 1195ms
%------------------------------------------------------------------------------