TSTP Solution File: KRS137+1 by Princess---230619
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%------------------------------------------------------------------------------
% File : Princess---230619
% Problem : KRS137+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 : n005.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 05:51:23 EDT 2023
% Result : Theorem 3.74s 1.33s
% Output : Proof 6.07s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : KRS137+1 : TPTP v8.1.2. Released v3.1.0.
% 0.13/0.13 % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s
% 0.13/0.33 % Computer : n005.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Mon Aug 28 02:00:08 EDT 2023
% 0.13/0.33 % CPUTime :
% 0.19/0.59 ________ _____
% 0.19/0.59 ___ __ \_________(_)________________________________
% 0.19/0.59 __ /_/ /_ ___/_ /__ __ \ ___/ _ \_ ___/_ ___/
% 0.19/0.59 _ ____/_ / _ / _ / / / /__ / __/(__ )_(__ )
% 0.19/0.59 /_/ /_/ /_/ /_/ /_/\___/ \___//____/ /____/
% 0.19/0.59
% 0.19/0.59 A Theorem Prover for First-Order Logic modulo Linear Integer Arithmetic
% 0.19/0.59 (2023-06-19)
% 0.19/0.59
% 0.19/0.59 (c) Philipp Rümmer, 2009-2023
% 0.19/0.59 Contributors: Peter Backeman, Peter Baumgartner, Angelo Brillout, Zafer Esen,
% 0.19/0.59 Amanda Stjerna.
% 0.19/0.59 Free software under BSD-3-Clause.
% 0.19/0.59
% 0.19/0.59 For more information, visit http://www.philipp.ruemmer.org/princess.shtml
% 0.19/0.59
% 0.19/0.59 Loading /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 0.19/0.60 Running up to 7 provers in parallel.
% 0.19/0.62 Prover 0: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893
% 0.19/0.62 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1571432423
% 0.19/0.62 Prover 2: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1065072994
% 0.19/0.62 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696
% 0.19/0.62 Prover 5: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288
% 0.19/0.62 Prover 3: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996
% 0.19/0.62 Prover 6: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365
% 1.75/0.96 Prover 4: Preprocessing ...
% 1.75/0.97 Prover 1: Preprocessing ...
% 2.17/1.01 Prover 5: Preprocessing ...
% 2.17/1.01 Prover 0: Preprocessing ...
% 2.17/1.01 Prover 3: Preprocessing ...
% 2.17/1.01 Prover 2: Preprocessing ...
% 2.17/1.01 Prover 6: Preprocessing ...
% 3.22/1.13 Prover 5: Proving ...
% 3.22/1.13 Prover 2: Proving ...
% 3.22/1.16 Prover 1: Constructing countermodel ...
% 3.22/1.16 Prover 6: Constructing countermodel ...
% 3.22/1.16 Prover 4: Constructing countermodel ...
% 3.22/1.16 Prover 3: Constructing countermodel ...
% 3.22/1.19 Prover 0: Proving ...
% 3.74/1.32 Prover 3: proved (703ms)
% 3.74/1.33
% 3.74/1.33 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.74/1.33
% 3.74/1.33 Prover 5: stopped
% 3.74/1.33 Prover 0: stopped
% 3.74/1.33 Prover 7: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470
% 3.74/1.33 Prover 2: stopped
% 3.74/1.33 Prover 11: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1509710984
% 3.74/1.33 Prover 8: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089
% 3.74/1.34 Prover 10: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=919308125
% 4.46/1.34 Prover 6: stopped
% 4.46/1.35 Prover 7: Preprocessing ...
% 4.46/1.35 Prover 13: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=1138197443
% 4.46/1.36 Prover 10: Preprocessing ...
% 4.46/1.36 Prover 8: Preprocessing ...
% 4.46/1.36 Prover 7: Warning: ignoring some quantifiers
% 4.46/1.37 Prover 11: Preprocessing ...
% 4.46/1.37 Prover 7: Constructing countermodel ...
% 4.46/1.37 Prover 10: Warning: ignoring some quantifiers
% 4.46/1.37 Prover 13: Preprocessing ...
% 4.46/1.37 Prover 10: Constructing countermodel ...
% 4.46/1.39 Prover 13: Warning: ignoring some quantifiers
% 4.46/1.39 Prover 13: Constructing countermodel ...
% 4.46/1.43 Prover 11: Constructing countermodel ...
% 5.43/1.44 Prover 10: gave up
% 5.43/1.44 Prover 16: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=completeFrugal -randomSeed=-2043353683
% 5.43/1.45 Prover 13: gave up
% 5.43/1.46 Prover 8: Warning: ignoring some quantifiers
% 5.43/1.46 Prover 8: Constructing countermodel ...
% 5.43/1.46 Prover 7: gave up
% 5.43/1.46 Prover 16: Preprocessing ...
% 5.43/1.46 Prover 4: Found proof (size 61)
% 5.43/1.46 Prover 4: proved (837ms)
% 5.43/1.46 Prover 1: stopped
% 5.43/1.46 Prover 19: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=-1780594085
% 5.43/1.46 Prover 11: stopped
% 5.43/1.46 Prover 8: stopped
% 5.59/1.47 Prover 19: Preprocessing ...
% 5.59/1.48 Prover 16: Warning: ignoring some quantifiers
% 5.59/1.48 Prover 16: Constructing countermodel ...
% 5.59/1.48 Prover 16: stopped
% 5.59/1.51 Prover 19: Warning: ignoring some quantifiers
% 5.59/1.51 Prover 19: Constructing countermodel ...
% 5.89/1.52 Prover 19: stopped
% 5.89/1.52
% 5.89/1.52 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 5.89/1.52
% 5.89/1.53 % SZS output start Proof for theBenchmark
% 5.89/1.54 Assumptions after simplification:
% 5.89/1.54 ---------------------------------
% 5.89/1.54
% 5.89/1.54 (axiom_0)
% 6.07/1.57 ! [v0: $i] : ! [v1: int] : (v1 = 0 | ~ (cowlThing(v0) = v1) | ~ $i(v0)) &
% 6.07/1.57 ! [v0: $i] : ( ~ (cowlNothing(v0) = 0) | ~ $i(v0))
% 6.07/1.57
% 6.07/1.57 (axiom_1)
% 6.07/1.57 ! [v0: $i] : ! [v1: int] : (v1 = 0 | ~ (xsd_integer(v0) = v1) | ~ $i(v0) |
% 6.07/1.57 xsd_string(v0) = 0) & ! [v0: $i] : ! [v1: int] : (v1 = 0 | ~
% 6.07/1.57 (xsd_string(v0) = v1) | ~ $i(v0) | xsd_integer(v0) = 0) & ! [v0: $i] : ( ~
% 6.07/1.57 (xsd_integer(v0) = 0) | ~ $i(v0) | ? [v1: int] : ( ~ (v1 = 0) &
% 6.07/1.57 xsd_string(v0) = v1)) & ! [v0: $i] : ( ~ (xsd_string(v0) = 0) | ~ $i(v0)
% 6.07/1.57 | ? [v1: int] : ( ~ (v1 = 0) & xsd_integer(v0) = v1))
% 6.07/1.57
% 6.07/1.57 (axiom_2)
% 6.07/1.57 ! [v0: $i] : ! [v1: int] : (v1 = 0 | ~ (cAutomobile(v0) = v1) | ~ $i(v0) |
% 6.07/1.57 ? [v2: int] : ( ~ (v2 = 0) & cCar(v0) = v2)) & ! [v0: $i] : ! [v1: int] :
% 6.07/1.57 (v1 = 0 | ~ (cCar(v0) = v1) | ~ $i(v0) | ? [v2: int] : ( ~ (v2 = 0) &
% 6.07/1.57 cAutomobile(v0) = v2)) & ! [v0: $i] : ( ~ (cAutomobile(v0) = 0) | ~
% 6.07/1.57 $i(v0) | cCar(v0) = 0) & ! [v0: $i] : ( ~ (cCar(v0) = 0) | ~ $i(v0) |
% 6.07/1.57 cAutomobile(v0) = 0)
% 6.07/1.57
% 6.07/1.57 (axiom_3)
% 6.07/1.57 cowlThing(iauto) = 0 & $i(iauto)
% 6.07/1.57
% 6.07/1.57 (axiom_4)
% 6.07/1.57 cAutomobile(iauto) = 0 & $i(iauto)
% 6.07/1.57
% 6.07/1.57 (axiom_5)
% 6.07/1.57 cowlThing(icar) = 0 & $i(icar)
% 6.07/1.57
% 6.07/1.58 (axiom_6)
% 6.07/1.58 cCar(icar) = 0 & $i(icar)
% 6.07/1.58
% 6.07/1.58 (the_axiom)
% 6.07/1.58 $i(icar) & $i(iauto) & ? [v0: any] : ? [v1: any] : ? [v2: any] : ? [v3:
% 6.07/1.58 any] : ? [v4: $i] : ? [v5: any] : ? [v6: any] : ? [v7: $i] : ? [v8:
% 6.07/1.58 any] : ? [v9: any] : (cAutomobile(icar) = v3 & cCar(iauto) = v0 &
% 6.07/1.58 cowlThing(icar) = v2 & cowlThing(iauto) = v1 & $i(v7) & $i(v4) & ( ~ (v3 =
% 6.07/1.58 0) | ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 = 0) | (xsd_integer(v4) = v6 &
% 6.07/1.58 xsd_string(v4) = v5 & ((v6 = 0 & v5 = 0) | ( ~ (v6 = 0) & ~ (v5 = 0))))
% 6.07/1.58 | (cowlNothing(v7) = v9 & cowlThing(v7) = v8 & ( ~ (v8 = 0) | v9 = 0))))
% 6.07/1.58
% 6.07/1.58 (function-axioms)
% 6.07/1.59 ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : (v1 =
% 6.07/1.59 v0 | ~ (cAutomobile(v2) = v1) | ~ (cAutomobile(v2) = v0)) & ! [v0:
% 6.07/1.59 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 |
% 6.07/1.59 ~ (cCar(v2) = v1) | ~ (cCar(v2) = v0)) & ! [v0: MultipleValueBool] : !
% 6.07/1.59 [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~ (xsd_integer(v2) = v1) |
% 6.07/1.59 ~ (xsd_integer(v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1:
% 6.07/1.59 MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~ (xsd_string(v2) = v1) | ~
% 6.07/1.59 (xsd_string(v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1:
% 6.07/1.59 MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~ (cowlNothing(v2) = v1) | ~
% 6.07/1.59 (cowlNothing(v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1:
% 6.07/1.59 MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~ (cowlThing(v2) = v1) | ~
% 6.07/1.59 (cowlThing(v2) = v0))
% 6.07/1.59
% 6.07/1.59 Those formulas are unsatisfiable:
% 6.07/1.59 ---------------------------------
% 6.07/1.59
% 6.07/1.59 Begin of proof
% 6.07/1.59 |
% 6.07/1.59 | ALPHA: (axiom_0) implies:
% 6.07/1.59 | (1) ! [v0: $i] : ( ~ (cowlNothing(v0) = 0) | ~ $i(v0))
% 6.07/1.59 | (2) ! [v0: $i] : ! [v1: int] : (v1 = 0 | ~ (cowlThing(v0) = v1) | ~
% 6.07/1.59 | $i(v0))
% 6.07/1.59 |
% 6.07/1.59 | ALPHA: (axiom_1) implies:
% 6.07/1.59 | (3) ! [v0: $i] : ( ~ (xsd_integer(v0) = 0) | ~ $i(v0) | ? [v1: int] : (
% 6.07/1.59 | ~ (v1 = 0) & xsd_string(v0) = v1))
% 6.07/1.59 | (4) ! [v0: $i] : ! [v1: int] : (v1 = 0 | ~ (xsd_integer(v0) = v1) | ~
% 6.07/1.59 | $i(v0) | xsd_string(v0) = 0)
% 6.07/1.59 |
% 6.07/1.59 | ALPHA: (axiom_2) implies:
% 6.07/1.59 | (5) ! [v0: $i] : ( ~ (cCar(v0) = 0) | ~ $i(v0) | cAutomobile(v0) = 0)
% 6.07/1.59 | (6) ! [v0: $i] : ( ~ (cAutomobile(v0) = 0) | ~ $i(v0) | cCar(v0) = 0)
% 6.07/1.59 |
% 6.07/1.59 | ALPHA: (axiom_3) implies:
% 6.07/1.59 | (7) cowlThing(iauto) = 0
% 6.07/1.59 |
% 6.07/1.59 | ALPHA: (axiom_4) implies:
% 6.07/1.59 | (8) cAutomobile(iauto) = 0
% 6.07/1.59 |
% 6.07/1.59 | ALPHA: (axiom_5) implies:
% 6.07/1.60 | (9) cowlThing(icar) = 0
% 6.07/1.60 |
% 6.07/1.60 | ALPHA: (axiom_6) implies:
% 6.07/1.60 | (10) cCar(icar) = 0
% 6.07/1.60 |
% 6.07/1.60 | ALPHA: (the_axiom) implies:
% 6.07/1.60 | (11) $i(iauto)
% 6.07/1.60 | (12) $i(icar)
% 6.07/1.60 | (13) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? [v3: any] : ? [v4:
% 6.07/1.60 | $i] : ? [v5: any] : ? [v6: any] : ? [v7: $i] : ? [v8: any] : ?
% 6.07/1.60 | [v9: any] : (cAutomobile(icar) = v3 & cCar(iauto) = v0 &
% 6.07/1.60 | cowlThing(icar) = v2 & cowlThing(iauto) = v1 & $i(v7) & $i(v4) & ( ~
% 6.07/1.60 | (v3 = 0) | ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 = 0) |
% 6.07/1.60 | (xsd_integer(v4) = v6 & xsd_string(v4) = v5 & ((v6 = 0 & v5 = 0) |
% 6.07/1.60 | ( ~ (v6 = 0) & ~ (v5 = 0)))) | (cowlNothing(v7) = v9 &
% 6.07/1.60 | cowlThing(v7) = v8 & ( ~ (v8 = 0) | v9 = 0))))
% 6.07/1.60 |
% 6.07/1.60 | ALPHA: (function-axioms) implies:
% 6.07/1.60 | (14) ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i]
% 6.07/1.60 | : (v1 = v0 | ~ (cowlThing(v2) = v1) | ~ (cowlThing(v2) = v0))
% 6.07/1.60 | (15) ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i]
% 6.07/1.60 | : (v1 = v0 | ~ (xsd_string(v2) = v1) | ~ (xsd_string(v2) = v0))
% 6.07/1.60 | (16) ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i]
% 6.07/1.60 | : (v1 = v0 | ~ (cCar(v2) = v1) | ~ (cCar(v2) = v0))
% 6.07/1.60 | (17) ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i]
% 6.07/1.60 | : (v1 = v0 | ~ (cAutomobile(v2) = v1) | ~ (cAutomobile(v2) = v0))
% 6.07/1.60 |
% 6.07/1.60 | DELTA: instantiating (13) with fresh symbols all_7_0, all_7_1, all_7_2,
% 6.07/1.60 | all_7_3, all_7_4, all_7_5, all_7_6, all_7_7, all_7_8, all_7_9 gives:
% 6.07/1.60 | (18) cAutomobile(icar) = all_7_6 & cCar(iauto) = all_7_9 & cowlThing(icar)
% 6.07/1.60 | = all_7_7 & cowlThing(iauto) = all_7_8 & $i(all_7_2) & $i(all_7_5) & (
% 6.07/1.60 | ~ (all_7_6 = 0) | ~ (all_7_7 = 0) | ~ (all_7_8 = 0) | ~ (all_7_9
% 6.07/1.60 | = 0) | (xsd_integer(all_7_5) = all_7_3 & xsd_string(all_7_5) =
% 6.07/1.60 | all_7_4 & ((all_7_3 = 0 & all_7_4 = 0) | ( ~ (all_7_3 = 0) & ~
% 6.07/1.60 | (all_7_4 = 0)))) | (cowlNothing(all_7_2) = all_7_0 &
% 6.07/1.60 | cowlThing(all_7_2) = all_7_1 & ( ~ (all_7_1 = 0) | all_7_0 = 0)))
% 6.07/1.60 |
% 6.07/1.60 | ALPHA: (18) implies:
% 6.07/1.60 | (19) $i(all_7_5)
% 6.07/1.60 | (20) $i(all_7_2)
% 6.07/1.60 | (21) cowlThing(iauto) = all_7_8
% 6.07/1.61 | (22) cowlThing(icar) = all_7_7
% 6.07/1.61 | (23) cCar(iauto) = all_7_9
% 6.07/1.61 | (24) cAutomobile(icar) = all_7_6
% 6.07/1.61 | (25) ~ (all_7_6 = 0) | ~ (all_7_7 = 0) | ~ (all_7_8 = 0) | ~ (all_7_9 =
% 6.07/1.61 | 0) | (xsd_integer(all_7_5) = all_7_3 & xsd_string(all_7_5) = all_7_4
% 6.07/1.61 | & ((all_7_3 = 0 & all_7_4 = 0) | ( ~ (all_7_3 = 0) & ~ (all_7_4 =
% 6.07/1.61 | 0)))) | (cowlNothing(all_7_2) = all_7_0 & cowlThing(all_7_2) =
% 6.07/1.61 | all_7_1 & ( ~ (all_7_1 = 0) | all_7_0 = 0))
% 6.07/1.61 |
% 6.07/1.61 | GROUND_INST: instantiating (14) with 0, all_7_8, iauto, simplifying with (7),
% 6.07/1.61 | (21) gives:
% 6.07/1.61 | (26) all_7_8 = 0
% 6.07/1.61 |
% 6.07/1.61 | GROUND_INST: instantiating (14) with 0, all_7_7, icar, simplifying with (9),
% 6.07/1.61 | (22) gives:
% 6.07/1.61 | (27) all_7_7 = 0
% 6.07/1.61 |
% 6.07/1.61 | GROUND_INST: instantiating (5) with icar, simplifying with (10), (12) gives:
% 6.07/1.61 | (28) cAutomobile(icar) = 0
% 6.07/1.61 |
% 6.07/1.61 | GROUND_INST: instantiating (6) with iauto, simplifying with (8), (11) gives:
% 6.07/1.61 | (29) cCar(iauto) = 0
% 6.07/1.61 |
% 6.07/1.61 | BETA: splitting (25) gives:
% 6.07/1.61 |
% 6.07/1.61 | Case 1:
% 6.07/1.61 | |
% 6.07/1.61 | | (30) ~ (all_7_6 = 0)
% 6.07/1.61 | |
% 6.07/1.61 | | GROUND_INST: instantiating (17) with all_7_6, 0, icar, simplifying with
% 6.07/1.61 | | (24), (28) gives:
% 6.07/1.61 | | (31) all_7_6 = 0
% 6.07/1.61 | |
% 6.07/1.61 | | REDUCE: (30), (31) imply:
% 6.07/1.61 | | (32) $false
% 6.07/1.61 | |
% 6.07/1.61 | | CLOSE: (32) is inconsistent.
% 6.07/1.61 | |
% 6.07/1.61 | Case 2:
% 6.07/1.61 | |
% 6.07/1.61 | | (33) ~ (all_7_7 = 0) | ~ (all_7_8 = 0) | ~ (all_7_9 = 0) |
% 6.07/1.61 | | (xsd_integer(all_7_5) = all_7_3 & xsd_string(all_7_5) = all_7_4 &
% 6.07/1.61 | | ((all_7_3 = 0 & all_7_4 = 0) | ( ~ (all_7_3 = 0) & ~ (all_7_4 =
% 6.07/1.61 | | 0)))) | (cowlNothing(all_7_2) = all_7_0 & cowlThing(all_7_2)
% 6.07/1.61 | | = all_7_1 & ( ~ (all_7_1 = 0) | all_7_0 = 0))
% 6.07/1.61 | |
% 6.07/1.61 | | BETA: splitting (33) gives:
% 6.07/1.61 | |
% 6.07/1.61 | | Case 1:
% 6.07/1.61 | | |
% 6.07/1.61 | | | (34) ~ (all_7_7 = 0)
% 6.07/1.61 | | |
% 6.07/1.61 | | | REDUCE: (27), (34) imply:
% 6.07/1.61 | | | (35) $false
% 6.07/1.61 | | |
% 6.07/1.61 | | | CLOSE: (35) is inconsistent.
% 6.07/1.61 | | |
% 6.07/1.61 | | Case 2:
% 6.07/1.61 | | |
% 6.07/1.61 | | | (36) ~ (all_7_8 = 0) | ~ (all_7_9 = 0) | (xsd_integer(all_7_5) =
% 6.07/1.61 | | | all_7_3 & xsd_string(all_7_5) = all_7_4 & ((all_7_3 = 0 &
% 6.07/1.61 | | | all_7_4 = 0) | ( ~ (all_7_3 = 0) & ~ (all_7_4 = 0)))) |
% 6.07/1.61 | | | (cowlNothing(all_7_2) = all_7_0 & cowlThing(all_7_2) = all_7_1 & (
% 6.07/1.61 | | | ~ (all_7_1 = 0) | all_7_0 = 0))
% 6.07/1.61 | | |
% 6.07/1.61 | | | BETA: splitting (36) gives:
% 6.07/1.61 | | |
% 6.07/1.61 | | | Case 1:
% 6.07/1.61 | | | |
% 6.07/1.61 | | | | (37) ~ (all_7_8 = 0)
% 6.07/1.61 | | | |
% 6.07/1.61 | | | | REDUCE: (26), (37) imply:
% 6.07/1.62 | | | | (38) $false
% 6.07/1.62 | | | |
% 6.07/1.62 | | | | CLOSE: (38) is inconsistent.
% 6.07/1.62 | | | |
% 6.07/1.62 | | | Case 2:
% 6.07/1.62 | | | |
% 6.07/1.62 | | | | (39) ~ (all_7_9 = 0) | (xsd_integer(all_7_5) = all_7_3 &
% 6.07/1.62 | | | | xsd_string(all_7_5) = all_7_4 & ((all_7_3 = 0 & all_7_4 = 0) |
% 6.07/1.62 | | | | ( ~ (all_7_3 = 0) & ~ (all_7_4 = 0)))) |
% 6.07/1.62 | | | | (cowlNothing(all_7_2) = all_7_0 & cowlThing(all_7_2) = all_7_1 &
% 6.07/1.62 | | | | ( ~ (all_7_1 = 0) | all_7_0 = 0))
% 6.07/1.62 | | | |
% 6.07/1.62 | | | | BETA: splitting (39) gives:
% 6.07/1.62 | | | |
% 6.07/1.62 | | | | Case 1:
% 6.07/1.62 | | | | |
% 6.07/1.62 | | | | | (40) ~ (all_7_9 = 0)
% 6.07/1.62 | | | | |
% 6.07/1.62 | | | | | GROUND_INST: instantiating (16) with all_7_9, 0, iauto, simplifying
% 6.07/1.62 | | | | | with (23), (29) gives:
% 6.07/1.62 | | | | | (41) all_7_9 = 0
% 6.07/1.62 | | | | |
% 6.07/1.62 | | | | | REDUCE: (40), (41) imply:
% 6.07/1.62 | | | | | (42) $false
% 6.07/1.62 | | | | |
% 6.07/1.62 | | | | | CLOSE: (42) is inconsistent.
% 6.07/1.62 | | | | |
% 6.07/1.62 | | | | Case 2:
% 6.07/1.62 | | | | |
% 6.07/1.62 | | | | | (43) (xsd_integer(all_7_5) = all_7_3 & xsd_string(all_7_5) =
% 6.07/1.62 | | | | | all_7_4 & ((all_7_3 = 0 & all_7_4 = 0) | ( ~ (all_7_3 = 0) &
% 6.07/1.62 | | | | | ~ (all_7_4 = 0)))) | (cowlNothing(all_7_2) = all_7_0 &
% 6.07/1.62 | | | | | cowlThing(all_7_2) = all_7_1 & ( ~ (all_7_1 = 0) | all_7_0 =
% 6.07/1.62 | | | | | 0))
% 6.07/1.62 | | | | |
% 6.07/1.62 | | | | | BETA: splitting (43) gives:
% 6.07/1.62 | | | | |
% 6.07/1.62 | | | | | Case 1:
% 6.07/1.62 | | | | | |
% 6.07/1.62 | | | | | | (44) xsd_integer(all_7_5) = all_7_3 & xsd_string(all_7_5) =
% 6.07/1.62 | | | | | | all_7_4 & ((all_7_3 = 0 & all_7_4 = 0) | ( ~ (all_7_3 = 0) &
% 6.07/1.62 | | | | | | ~ (all_7_4 = 0)))
% 6.07/1.62 | | | | | |
% 6.07/1.62 | | | | | | ALPHA: (44) implies:
% 6.07/1.62 | | | | | | (45) xsd_string(all_7_5) = all_7_4
% 6.07/1.62 | | | | | | (46) xsd_integer(all_7_5) = all_7_3
% 6.07/1.62 | | | | | | (47) (all_7_3 = 0 & all_7_4 = 0) | ( ~ (all_7_3 = 0) & ~
% 6.07/1.62 | | | | | | (all_7_4 = 0))
% 6.07/1.62 | | | | | |
% 6.07/1.62 | | | | | | GROUND_INST: instantiating (4) with all_7_5, all_7_3, simplifying
% 6.07/1.62 | | | | | | with (19), (46) gives:
% 6.07/1.62 | | | | | | (48) all_7_3 = 0 | xsd_string(all_7_5) = 0
% 6.07/1.62 | | | | | |
% 6.07/1.62 | | | | | | BETA: splitting (47) gives:
% 6.07/1.62 | | | | | |
% 6.07/1.62 | | | | | | Case 1:
% 6.07/1.62 | | | | | | |
% 6.07/1.62 | | | | | | | (49) all_7_3 = 0 & all_7_4 = 0
% 6.07/1.62 | | | | | | |
% 6.07/1.62 | | | | | | | ALPHA: (49) implies:
% 6.07/1.62 | | | | | | | (50) all_7_4 = 0
% 6.07/1.62 | | | | | | | (51) all_7_3 = 0
% 6.07/1.62 | | | | | | |
% 6.07/1.62 | | | | | | | REDUCE: (46), (51) imply:
% 6.07/1.62 | | | | | | | (52) xsd_integer(all_7_5) = 0
% 6.07/1.62 | | | | | | |
% 6.07/1.62 | | | | | | | REDUCE: (45), (50) imply:
% 6.07/1.62 | | | | | | | (53) xsd_string(all_7_5) = 0
% 6.07/1.62 | | | | | | |
% 6.07/1.62 | | | | | | | GROUND_INST: instantiating (3) with all_7_5, simplifying with
% 6.07/1.62 | | | | | | | (19), (52) gives:
% 6.07/1.62 | | | | | | | (54) ? [v0: int] : ( ~ (v0 = 0) & xsd_string(all_7_5) = v0)
% 6.07/1.62 | | | | | | |
% 6.07/1.62 | | | | | | | DELTA: instantiating (54) with fresh symbol all_74_0 gives:
% 6.07/1.62 | | | | | | | (55) ~ (all_74_0 = 0) & xsd_string(all_7_5) = all_74_0
% 6.07/1.62 | | | | | | |
% 6.07/1.62 | | | | | | | ALPHA: (55) implies:
% 6.07/1.62 | | | | | | | (56) ~ (all_74_0 = 0)
% 6.07/1.62 | | | | | | | (57) xsd_string(all_7_5) = all_74_0
% 6.07/1.62 | | | | | | |
% 6.07/1.62 | | | | | | | GROUND_INST: instantiating (15) with 0, all_74_0, all_7_5,
% 6.07/1.62 | | | | | | | simplifying with (53), (57) gives:
% 6.07/1.62 | | | | | | | (58) all_74_0 = 0
% 6.07/1.62 | | | | | | |
% 6.07/1.62 | | | | | | | REDUCE: (56), (58) imply:
% 6.07/1.62 | | | | | | | (59) $false
% 6.07/1.62 | | | | | | |
% 6.07/1.62 | | | | | | | CLOSE: (59) is inconsistent.
% 6.07/1.62 | | | | | | |
% 6.07/1.62 | | | | | | Case 2:
% 6.07/1.62 | | | | | | |
% 6.07/1.62 | | | | | | | (60) ~ (all_7_3 = 0) & ~ (all_7_4 = 0)
% 6.07/1.62 | | | | | | |
% 6.07/1.62 | | | | | | | ALPHA: (60) implies:
% 6.07/1.62 | | | | | | | (61) ~ (all_7_4 = 0)
% 6.07/1.62 | | | | | | | (62) ~ (all_7_3 = 0)
% 6.07/1.62 | | | | | | |
% 6.07/1.62 | | | | | | | BETA: splitting (48) gives:
% 6.07/1.62 | | | | | | |
% 6.07/1.62 | | | | | | | Case 1:
% 6.07/1.62 | | | | | | | |
% 6.07/1.63 | | | | | | | | (63) xsd_string(all_7_5) = 0
% 6.07/1.63 | | | | | | | |
% 6.07/1.63 | | | | | | | | GROUND_INST: instantiating (15) with all_7_4, 0, all_7_5,
% 6.07/1.63 | | | | | | | | simplifying with (45), (63) gives:
% 6.07/1.63 | | | | | | | | (64) all_7_4 = 0
% 6.07/1.63 | | | | | | | |
% 6.07/1.63 | | | | | | | | REDUCE: (61), (64) imply:
% 6.07/1.63 | | | | | | | | (65) $false
% 6.07/1.63 | | | | | | | |
% 6.07/1.63 | | | | | | | | CLOSE: (65) is inconsistent.
% 6.07/1.63 | | | | | | | |
% 6.07/1.63 | | | | | | | Case 2:
% 6.07/1.63 | | | | | | | |
% 6.07/1.63 | | | | | | | | (66) all_7_3 = 0
% 6.07/1.63 | | | | | | | |
% 6.07/1.63 | | | | | | | | REDUCE: (62), (66) imply:
% 6.07/1.63 | | | | | | | | (67) $false
% 6.07/1.63 | | | | | | | |
% 6.07/1.63 | | | | | | | | CLOSE: (67) is inconsistent.
% 6.07/1.63 | | | | | | | |
% 6.07/1.63 | | | | | | | End of split
% 6.07/1.63 | | | | | | |
% 6.07/1.63 | | | | | | End of split
% 6.07/1.63 | | | | | |
% 6.07/1.63 | | | | | Case 2:
% 6.07/1.63 | | | | | |
% 6.07/1.63 | | | | | | (68) cowlNothing(all_7_2) = all_7_0 & cowlThing(all_7_2) =
% 6.07/1.63 | | | | | | all_7_1 & ( ~ (all_7_1 = 0) | all_7_0 = 0)
% 6.07/1.63 | | | | | |
% 6.07/1.63 | | | | | | ALPHA: (68) implies:
% 6.07/1.63 | | | | | | (69) cowlThing(all_7_2) = all_7_1
% 6.07/1.63 | | | | | | (70) cowlNothing(all_7_2) = all_7_0
% 6.07/1.63 | | | | | | (71) ~ (all_7_1 = 0) | all_7_0 = 0
% 6.07/1.63 | | | | | |
% 6.07/1.63 | | | | | | GROUND_INST: instantiating (2) with all_7_2, all_7_1, simplifying
% 6.07/1.63 | | | | | | with (20), (69) gives:
% 6.07/1.63 | | | | | | (72) all_7_1 = 0
% 6.07/1.63 | | | | | |
% 6.07/1.63 | | | | | | BETA: splitting (71) gives:
% 6.07/1.63 | | | | | |
% 6.07/1.63 | | | | | | Case 1:
% 6.07/1.63 | | | | | | |
% 6.07/1.63 | | | | | | | (73) ~ (all_7_1 = 0)
% 6.07/1.63 | | | | | | |
% 6.07/1.63 | | | | | | | REDUCE: (72), (73) imply:
% 6.07/1.63 | | | | | | | (74) $false
% 6.07/1.63 | | | | | | |
% 6.07/1.63 | | | | | | | CLOSE: (74) is inconsistent.
% 6.07/1.63 | | | | | | |
% 6.07/1.63 | | | | | | Case 2:
% 6.07/1.63 | | | | | | |
% 6.07/1.63 | | | | | | | (75) all_7_0 = 0
% 6.07/1.63 | | | | | | |
% 6.07/1.63 | | | | | | | REDUCE: (70), (75) imply:
% 6.07/1.63 | | | | | | | (76) cowlNothing(all_7_2) = 0
% 6.07/1.63 | | | | | | |
% 6.07/1.63 | | | | | | | GROUND_INST: instantiating (1) with all_7_2, simplifying with
% 6.07/1.63 | | | | | | | (20), (76) gives:
% 6.07/1.63 | | | | | | | (77) $false
% 6.07/1.63 | | | | | | |
% 6.07/1.63 | | | | | | | CLOSE: (77) is inconsistent.
% 6.07/1.63 | | | | | | |
% 6.07/1.63 | | | | | | End of split
% 6.07/1.63 | | | | | |
% 6.07/1.63 | | | | | End of split
% 6.07/1.63 | | | | |
% 6.07/1.63 | | | | End of split
% 6.07/1.63 | | | |
% 6.07/1.63 | | | End of split
% 6.07/1.63 | | |
% 6.07/1.63 | | End of split
% 6.07/1.63 | |
% 6.07/1.63 | End of split
% 6.07/1.63 |
% 6.07/1.63 End of proof
% 6.07/1.63 % SZS output end Proof for theBenchmark
% 6.07/1.63
% 6.07/1.63 1037ms
%------------------------------------------------------------------------------