%------------------------------------------------------------------------------ % File : Princess---230619 % Problem : KRS150+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 : n011.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 8.19s 1.78s % Output : Proof 12.32s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.06/0.12 % Problem : KRS150+1 : TPTP v8.1.2. Released v3.1.0. % 0.06/0.12 % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s % 0.12/0.33 % Computer : n011.cluster.edu % 0.12/0.33 % Model : x86_64 x86_64 % 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.12/0.33 % Memory : 8042.1875MB % 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.12/0.33 % CPULimit : 300 % 0.12/0.33 % WCLimit : 300 % 0.12/0.33 % DateTime : Mon Aug 28 02:06:40 EDT 2023 % 0.12/0.33 % CPUTime : % 0.19/0.58 ________ _____ % 0.19/0.58 ___ __ \_________(_)________________________________ % 0.19/0.58 __ /_/ /_ ___/_ /__ __ \ ___/ _ \_ ___/_ ___/ % 0.19/0.58 _ ____/_ / _ / _ / / / /__ / __/(__ )_(__ ) % 0.19/0.58 /_/ /_/ /_/ /_/ /_/\___/ \___//____/ /____/ % 0.19/0.58 % 0.19/0.58 A Theorem Prover for First-Order Logic modulo Linear Integer Arithmetic % 0.19/0.58 (2023-06-19) % 0.19/0.58 % 0.19/0.58 (c) Philipp Rümmer, 2009-2023 % 0.19/0.58 Contributors: Peter Backeman, Peter Baumgartner, Angelo Brillout, Zafer Esen, % 0.19/0.58 Amanda Stjerna. % 0.19/0.58 Free software under BSD-3-Clause. % 0.19/0.58 % 0.19/0.58 For more information, visit http://www.philipp.ruemmer.org/princess.shtml % 0.19/0.58 % 0.19/0.58 Loading /export/starexec/sandbox2/benchmark/theBenchmark.p ... % 0.19/0.60 Running up to 7 provers in parallel. % 0.19/0.61 Prover 0: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893 % 0.19/0.61 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1571432423 % 0.19/0.61 Prover 3: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996 % 0.19/0.61 Prover 2: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1065072994 % 0.19/0.61 Prover 5: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288 % 0.19/0.61 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696 % 0.19/0.61 Prover 6: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365 % 2.49/0.98 Prover 1: Preprocessing ... % 2.49/0.98 Prover 4: Preprocessing ... % 2.49/1.03 Prover 2: Preprocessing ... % 2.49/1.03 Prover 3: Preprocessing ... % 3.01/1.04 Prover 0: Preprocessing ... % 3.01/1.04 Prover 5: Preprocessing ... % 3.01/1.04 Prover 6: Preprocessing ... % 4.94/1.36 Prover 5: Proving ... % 4.94/1.36 Prover 2: Proving ... % 5.49/1.43 Prover 6: Proving ... % 5.49/1.46 Prover 1: Constructing countermodel ... % 5.49/1.46 Prover 3: Constructing countermodel ... % 6.00/1.51 Prover 4: Constructing countermodel ... % 6.71/1.57 Prover 0: Proving ... % 8.19/1.78 Prover 3: proved (1175ms) % 8.19/1.78 % 8.19/1.78 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p % 8.19/1.78 % 8.19/1.78 Prover 7: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470 % 8.19/1.78 Prover 2: stopped % 8.19/1.78 Prover 0: stopped % 8.19/1.79 Prover 6: stopped % 8.19/1.79 Prover 11: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1509710984 % 8.19/1.79 Prover 5: stopped % 8.19/1.79 Prover 10: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=919308125 % 8.19/1.79 Prover 8: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089 % 8.19/1.79 Prover 13: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=1138197443 % 8.19/1.84 Prover 11: Preprocessing ... % 8.19/1.84 Prover 7: Preprocessing ... % 8.19/1.85 Prover 10: Preprocessing ... % 8.19/1.85 Prover 13: Preprocessing ... % 8.19/1.85 Prover 8: Preprocessing ... % 8.91/1.89 Prover 7: Warning: ignoring some quantifiers % 8.91/1.89 Prover 7: Constructing countermodel ... % 8.91/1.90 Prover 10: Warning: ignoring some quantifiers % 8.91/1.90 Prover 10: Constructing countermodel ... % 8.91/1.96 Prover 13: Warning: ignoring some quantifiers % 9.45/1.98 Prover 13: Constructing countermodel ... % 9.82/2.00 Prover 8: Warning: ignoring some quantifiers % 9.85/2.01 Prover 8: Constructing countermodel ... % 9.85/2.05 Prover 11: Constructing countermodel ... % 9.85/2.07 Prover 10: gave up % 9.85/2.07 Prover 16: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=completeFrugal -randomSeed=-2043353683 % 9.85/2.09 Prover 16: Preprocessing ... % 10.63/2.12 Prover 16: Warning: ignoring some quantifiers % 10.63/2.13 Prover 13: gave up % 10.63/2.13 Prover 19: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=-1780594085 % 10.63/2.13 Prover 16: Constructing countermodel ... % 10.63/2.14 Prover 7: gave up % 10.63/2.16 Prover 19: Preprocessing ... % 10.63/2.17 Prover 1: Found proof (size 161) % 10.63/2.17 Prover 1: proved (1567ms) % 10.63/2.17 Prover 11: stopped % 10.63/2.17 Prover 8: stopped % 10.63/2.17 Prover 4: stopped % 10.63/2.17 Prover 16: stopped % 11.31/2.24 Prover 19: Warning: ignoring some quantifiers % 11.31/2.25 Prover 19: Constructing countermodel ... % 11.31/2.26 Prover 19: stopped % 11.31/2.26 % 11.31/2.26 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p % 11.31/2.26 % 11.31/2.28 % SZS output start Proof for theBenchmark % 11.31/2.29 Assumptions after simplification: % 11.31/2.29 --------------------------------- % 11.31/2.29 % 11.31/2.29 (axiom_0) % 11.77/2.31 ! [v0: $i] : ! [v1: int] : (v1 = 0 | ~ (cowlThing(v0) = v1) | ~ $i(v0)) & % 11.77/2.31 ! [v0: $i] : ( ~ (cowlNothing(v0) = 0) | ~ $i(v0)) % 11.77/2.31 % 11.77/2.31 (axiom_1) % 11.77/2.31 ! [v0: $i] : ! [v1: int] : (v1 = 0 | ~ (xsd_string(v0) = v1) | ~ $i(v0) | % 11.77/2.31 xsd_integer(v0) = 0) & ! [v0: $i] : ( ~ (xsd_string(v0) = 0) | ~ $i(v0) | % 11.77/2.31 ? [v1: int] : ( ~ (v1 = 0) & xsd_integer(v0) = v1)) % 11.77/2.31 % 11.77/2.31 (axiom_10) % 11.77/2.32 ! [v0: $i] : ! [v1: int] : (v1 = 0 | ~ (cTEST(v0) = v1) | ~ $i(v0) | ? % 11.77/2.32 [v2: any] : ? [v3: any] : (cTOP(v0) = v3 & cC18(v0) = v2 & ( ~ (v3 = 0) | % 11.77/2.32 ~ (v2 = 0)))) & ! [v0: $i] : ( ~ (cTEST(v0) = 0) | ~ $i(v0) | % 11.77/2.32 (cTOP(v0) = 0 & cC18(v0) = 0)) % 11.77/2.32 % 11.77/2.32 (axiom_11) % 11.77/2.32 cTOP(iV16560) = 0 & $i(iV16560) % 11.77/2.32 % 11.77/2.32 (axiom_12) % 11.77/2.32 cTEST(iV16560) = 0 & $i(iV16560) % 11.77/2.32 % 11.77/2.32 (axiom_13) % 11.77/2.32 cowlThing(iV16560) = 0 & $i(iV16560) % 11.77/2.32 % 11.77/2.32 (axiom_16) % 11.77/2.32 $i(iV16561) & ? [v0: int] : ( ~ (v0 = 0) & cC4(iV16561) = v0) % 11.77/2.32 % 11.77/2.32 (axiom_17) % 11.77/2.32 cowlThing(iV16561) = 0 & $i(iV16561) % 11.77/2.32 % 11.77/2.32 (axiom_19) % 11.77/2.32 $i(iV16561) & ? [v0: int] : ( ~ (v0 = 0) & cC2(iV16561) = v0) % 11.77/2.32 % 11.77/2.32 (axiom_2) % 11.77/2.32 ! [v0: $i] : ! [v1: int] : (v1 = 0 | ~ (cC10(v0) = v1) | ~ $i(v0) | ! % 11.77/2.32 [v2: $i] : ( ~ (rR1(v0, v2) = 0) | ~ $i(v2) | cC2(v2) = 0)) & ! [v0: $i] : % 11.77/2.32 ( ~ (cC10(v0) = 0) | ~ $i(v0) | ? [v1: $i] : ? [v2: int] : ( ~ (v2 = 0) & % 11.77/2.32 rR1(v0, v1) = 0 & cC2(v1) = v2 & $i(v1))) % 11.77/2.32 % 11.77/2.32 (axiom_20) % 11.77/2.32 $i(iV16562) & ? [v0: int] : ( ~ (v0 = 0) & cC10(iV16562) = v0) % 11.77/2.32 % 11.77/2.32 (axiom_21) % 11.77/2.32 $i(iV16562) & ? [v0: int] : ( ~ (v0 = 0) & cC2(iV16562) = v0) % 11.77/2.32 % 11.77/2.32 (axiom_22) % 11.77/2.32 cowlThing(iV16562) = 0 & $i(iV16562) % 11.77/2.32 % 11.77/2.32 (axiom_3) % 11.77/2.33 ! [v0: $i] : ! [v1: int] : (v1 = 0 | ~ (cC12(v0) = v1) | ~ $i(v0) | ? % 11.77/2.33 [v2: any] : ? [v3: any] : (cC10(v0) = v3 & cC2(v0) = v2 & (v3 = 0 | v2 = % 11.77/2.33 0))) & ! [v0: $i] : ( ~ (cC12(v0) = 0) | ~ $i(v0) | ? [v1: int] : ? % 11.77/2.33 [v2: int] : ( ~ (v2 = 0) & ~ (v1 = 0) & cC10(v0) = v2 & cC2(v0) = v1)) % 11.77/2.33 % 11.77/2.33 (axiom_5) % 11.77/2.33 ! [v0: $i] : ! [v1: any] : ( ~ (cC8(v0) = v1) | ~ $i(v0) | ? [v2: any] : % 11.77/2.33 ? [v3: any] : (cC16(v0) = v2 & cC14(v0) = v3 & ( ~ (v2 = 0) | (v3 = 0 & v1 = % 11.77/2.33 0)))) & ! [v0: $i] : ( ~ (cC8(v0) = 0) | ~ $i(v0) | ? [v1: any] : % 11.77/2.33 ? [v2: any] : (cC16(v0) = v2 & cC14(v0) = v1 & ( ~ (v1 = 0) | v2 = 0))) % 11.77/2.33 % 11.77/2.33 (axiom_6) % 11.77/2.33 ! [v0: $i] : ! [v1: any] : ( ~ (cTOP(v0) = v1) | ~ $i(v0) | ? [v2: any] : % 11.77/2.33 ? [v3: any] : (cC18(v0) = v2 & cC16(v0) = v3 & ( ~ (v2 = 0) | (v3 = 0 & v1 = % 11.77/2.33 0)))) & ! [v0: $i] : ( ~ (cTOP(v0) = 0) | ~ $i(v0) | ? [v1: any] : % 11.77/2.33 ? [v2: any] : (cC18(v0) = v2 & cC16(v0) = v1 & ( ~ (v1 = 0) | v2 = 0))) % 11.77/2.33 % 11.77/2.33 (axiom_8) % 11.77/2.33 ! [v0: $i] : ! [v1: int] : (v1 = 0 | ~ (cC6(v0) = v1) | ~ $i(v0) | ? [v2: % 11.77/2.33 any] : ? [v3: any] : (cC4(v0) = v3 & cC2(v0) = v2 & (v3 = 0 | v2 = 0))) & % 11.77/2.33 ! [v0: $i] : ( ~ (cC6(v0) = 0) | ~ $i(v0) | ? [v1: int] : ? [v2: int] : ( % 11.77/2.33 ~ (v2 = 0) & ~ (v1 = 0) & cC4(v0) = v2 & cC2(v0) = v1)) % 11.77/2.33 % 11.77/2.33 (the_axiom) % 11.77/2.34 $i(iV16561) & $i(iV16562) & $i(iV16560) & ? [v0: any] : ? [v1: any] : ? % 11.77/2.34 [v2: any] : ? [v3: any] : ? [v4: any] : ? [v5: any] : ? [v6: any] : ? % 11.77/2.34 [v7: any] : ? [v8: any] : (cC6(iV16561) = v6 & cC18(iV16560) = v0 & % 11.77/2.34 cC8(iV16560) = v4 & cC16(iV16560) = v1 & cC14(iV16560) = v3 & cC12(iV16562) % 11.77/2.34 = v8 & cowlThing(iV16561) = v5 & cowlThing(iV16562) = v7 & % 11.77/2.34 cowlThing(iV16560) = v2 & ( ~ (v8 = 0) | ~ (v7 = 0) | ~ (v6 = 0) | ~ (v5 % 11.77/2.34 = 0) | ~ (v4 = 0) | ~ (v3 = 0) | ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 = % 11.77/2.34 0) | ? [v9: $i] : ? [v10: any] : ? [v11: any] : (xsd_string(v9) = v10 % 11.77/2.34 & xsd_integer(v9) = v11 & $i(v9) & ((v11 = 0 & v10 = 0) | ( ~ (v11 = 0) % 11.77/2.34 & ~ (v10 = 0)))) | ? [v9: $i] : ? [v10: any] : ? [v11: any] : % 11.77/2.34 (cowlNothing(v9) = v11 & cowlThing(v9) = v10 & $i(v9) & ( ~ (v10 = 0) | % 11.77/2.34 v11 = 0)))) % 11.77/2.34 % 11.77/2.34 (function-axioms) % 11.77/2.34 ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : ! % 11.77/2.34 [v3: $i] : (v1 = v0 | ~ (rR1(v3, v2) = v1) | ~ (rR1(v3, v2) = v0)) & ! [v0: % 11.77/2.34 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 | % 11.77/2.34 ~ (cTEST(v2) = v1) | ~ (cTEST(v2) = v0)) & ! [v0: MultipleValueBool] : ! % 11.77/2.34 [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~ (cC6(v2) = v1) | ~ % 11.77/2.34 (cC6(v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : % 11.77/2.34 ! [v2: $i] : (v1 = v0 | ~ (cC4(v2) = v1) | ~ (cC4(v2) = v0)) & ! [v0: % 11.77/2.34 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 | % 11.77/2.34 ~ (cTOP(v2) = v1) | ~ (cTOP(v2) = v0)) & ! [v0: MultipleValueBool] : ! % 11.77/2.34 [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~ (cC18(v2) = v1) | ~ % 11.77/2.34 (cC18(v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : % 11.77/2.34 ! [v2: $i] : (v1 = v0 | ~ (cC8(v2) = v1) | ~ (cC8(v2) = v0)) & ! [v0: % 11.77/2.34 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 | % 11.77/2.34 ~ (cC16(v2) = v1) | ~ (cC16(v2) = v0)) & ! [v0: MultipleValueBool] : ! % 11.77/2.34 [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~ (cC14(v2) = v1) | ~ % 11.77/2.34 (cC14(v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : % 11.77/2.34 ! [v2: $i] : (v1 = v0 | ~ (cC12(v2) = v1) | ~ (cC12(v2) = v0)) & ! [v0: % 11.77/2.34 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 | % 11.77/2.34 ~ (cC10(v2) = v1) | ~ (cC10(v2) = v0)) & ! [v0: MultipleValueBool] : ! % 11.77/2.34 [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~ (cC2(v2) = v1) | ~ % 11.77/2.34 (cC2(v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : % 11.77/2.34 ! [v2: $i] : (v1 = v0 | ~ (xsd_string(v2) = v1) | ~ (xsd_string(v2) = v0)) & % 11.77/2.34 ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : (v1 = % 11.77/2.34 v0 | ~ (xsd_integer(v2) = v1) | ~ (xsd_integer(v2) = v0)) & ! [v0: % 11.77/2.34 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 | % 11.77/2.34 ~ (cowlNothing(v2) = v1) | ~ (cowlNothing(v2) = v0)) & ! [v0: % 11.77/2.34 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 | % 11.77/2.34 ~ (cowlThing(v2) = v1) | ~ (cowlThing(v2) = v0)) % 11.77/2.34 % 11.77/2.34 Further assumptions not needed in the proof: % 11.77/2.34 -------------------------------------------- % 11.77/2.34 axiom_14, axiom_15, axiom_18, axiom_23, axiom_4, axiom_7, axiom_9 % 11.77/2.34 % 11.77/2.34 Those formulas are unsatisfiable: % 11.77/2.34 --------------------------------- % 11.77/2.34 % 11.77/2.34 Begin of proof % 11.77/2.35 | % 11.77/2.35 | ALPHA: (axiom_0) implies: % 11.77/2.35 | (1) ! [v0: $i] : ( ~ (cowlNothing(v0) = 0) | ~ $i(v0)) % 11.77/2.35 | (2) ! [v0: $i] : ! [v1: int] : (v1 = 0 | ~ (cowlThing(v0) = v1) | ~ % 11.77/2.35 | $i(v0)) % 11.77/2.35 | % 11.77/2.35 | ALPHA: (axiom_1) implies: % 11.77/2.35 | (3) ! [v0: $i] : ( ~ (xsd_string(v0) = 0) | ~ $i(v0) | ? [v1: int] : ( ~ % 11.77/2.35 | (v1 = 0) & xsd_integer(v0) = v1)) % 11.77/2.35 | (4) ! [v0: $i] : ! [v1: int] : (v1 = 0 | ~ (xsd_string(v0) = v1) | ~ % 11.77/2.35 | $i(v0) | xsd_integer(v0) = 0) % 11.77/2.35 | % 11.77/2.35 | ALPHA: (axiom_2) implies: % 11.77/2.35 | (5) ! [v0: $i] : ! [v1: int] : (v1 = 0 | ~ (cC10(v0) = v1) | ~ $i(v0) | % 11.77/2.35 | ! [v2: $i] : ( ~ (rR1(v0, v2) = 0) | ~ $i(v2) | cC2(v2) = 0)) % 11.77/2.35 | % 11.77/2.35 | ALPHA: (axiom_3) implies: % 11.77/2.35 | (6) ! [v0: $i] : ! [v1: int] : (v1 = 0 | ~ (cC12(v0) = v1) | ~ $i(v0) | % 11.77/2.35 | ? [v2: any] : ? [v3: any] : (cC10(v0) = v3 & cC2(v0) = v2 & (v3 = 0 % 11.77/2.35 | | v2 = 0))) % 11.77/2.35 | % 11.77/2.35 | ALPHA: (axiom_5) implies: % 11.77/2.35 | (7) ! [v0: $i] : ! [v1: any] : ( ~ (cC8(v0) = v1) | ~ $i(v0) | ? [v2: % 11.77/2.35 | any] : ? [v3: any] : (cC16(v0) = v2 & cC14(v0) = v3 & ( ~ (v2 = 0) % 11.77/2.35 | | (v3 = 0 & v1 = 0)))) % 11.77/2.35 | % 11.77/2.35 | ALPHA: (axiom_6) implies: % 11.77/2.35 | (8) ! [v0: $i] : ( ~ (cTOP(v0) = 0) | ~ $i(v0) | ? [v1: any] : ? [v2: % 11.77/2.35 | any] : (cC18(v0) = v2 & cC16(v0) = v1 & ( ~ (v1 = 0) | v2 = 0))) % 11.77/2.35 | (9) ! [v0: $i] : ! [v1: any] : ( ~ (cTOP(v0) = v1) | ~ $i(v0) | ? [v2: % 11.77/2.35 | any] : ? [v3: any] : (cC18(v0) = v2 & cC16(v0) = v3 & ( ~ (v2 = 0) % 11.77/2.35 | | (v3 = 0 & v1 = 0)))) % 11.77/2.35 | % 11.77/2.35 | ALPHA: (axiom_8) implies: % 11.77/2.36 | (10) ! [v0: $i] : ! [v1: int] : (v1 = 0 | ~ (cC6(v0) = v1) | ~ $i(v0) | % 11.77/2.36 | ? [v2: any] : ? [v3: any] : (cC4(v0) = v3 & cC2(v0) = v2 & (v3 = 0 % 11.77/2.36 | | v2 = 0))) % 11.77/2.36 | % 11.77/2.36 | ALPHA: (axiom_10) implies: % 11.77/2.36 | (11) ! [v0: $i] : ( ~ (cTEST(v0) = 0) | ~ $i(v0) | (cTOP(v0) = 0 & % 11.77/2.36 | cC18(v0) = 0)) % 11.77/2.36 | % 11.77/2.36 | ALPHA: (axiom_11) implies: % 11.77/2.36 | (12) cTOP(iV16560) = 0 % 11.77/2.36 | % 11.77/2.36 | ALPHA: (axiom_12) implies: % 11.77/2.36 | (13) cTEST(iV16560) = 0 % 11.77/2.36 | % 11.77/2.36 | ALPHA: (axiom_13) implies: % 11.77/2.36 | (14) cowlThing(iV16560) = 0 % 11.77/2.36 | % 11.77/2.36 | ALPHA: (axiom_16) implies: % 11.77/2.36 | (15) ? [v0: int] : ( ~ (v0 = 0) & cC4(iV16561) = v0) % 11.77/2.36 | % 11.77/2.36 | ALPHA: (axiom_17) implies: % 11.77/2.36 | (16) cowlThing(iV16561) = 0 % 11.77/2.36 | % 11.77/2.36 | ALPHA: (axiom_19) implies: % 11.77/2.36 | (17) ? [v0: int] : ( ~ (v0 = 0) & cC2(iV16561) = v0) % 11.77/2.36 | % 11.77/2.36 | ALPHA: (axiom_20) implies: % 11.77/2.36 | (18) ? [v0: int] : ( ~ (v0 = 0) & cC10(iV16562) = v0) % 11.77/2.36 | % 11.77/2.36 | ALPHA: (axiom_21) implies: % 11.77/2.36 | (19) ? [v0: int] : ( ~ (v0 = 0) & cC2(iV16562) = v0) % 11.77/2.36 | % 11.77/2.36 | ALPHA: (axiom_22) implies: % 11.77/2.36 | (20) cowlThing(iV16562) = 0 % 11.77/2.36 | % 11.77/2.36 | ALPHA: (the_axiom) implies: % 11.77/2.36 | (21) $i(iV16560) % 11.77/2.36 | (22) $i(iV16562) % 11.77/2.36 | (23) $i(iV16561) % 11.77/2.36 | (24) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? [v3: any] : ? [v4: % 11.77/2.36 | any] : ? [v5: any] : ? [v6: any] : ? [v7: any] : ? [v8: any] : % 11.77/2.36 | (cC6(iV16561) = v6 & cC18(iV16560) = v0 & cC8(iV16560) = v4 & % 11.77/2.36 | cC16(iV16560) = v1 & cC14(iV16560) = v3 & cC12(iV16562) = v8 & % 11.77/2.36 | cowlThing(iV16561) = v5 & cowlThing(iV16562) = v7 & % 11.77/2.36 | cowlThing(iV16560) = v2 & ( ~ (v8 = 0) | ~ (v7 = 0) | ~ (v6 = 0) | % 11.77/2.36 | ~ (v5 = 0) | ~ (v4 = 0) | ~ (v3 = 0) | ~ (v2 = 0) | ~ (v1 = % 11.77/2.36 | 0) | ~ (v0 = 0) | ? [v9: $i] : ? [v10: any] : ? [v11: any] : % 11.77/2.36 | (xsd_string(v9) = v10 & xsd_integer(v9) = v11 & $i(v9) & ((v11 = 0 % 11.77/2.36 | & v10 = 0) | ( ~ (v11 = 0) & ~ (v10 = 0)))) | ? [v9: $i] : % 11.77/2.36 | ? [v10: any] : ? [v11: any] : (cowlNothing(v9) = v11 & % 11.77/2.36 | cowlThing(v9) = v10 & $i(v9) & ( ~ (v10 = 0) | v11 = 0)))) % 11.77/2.36 | % 11.77/2.36 | ALPHA: (function-axioms) implies: % 11.77/2.36 | (25) ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] % 11.77/2.36 | : (v1 = v0 | ~ (cowlThing(v2) = v1) | ~ (cowlThing(v2) = v0)) % 11.77/2.36 | (26) ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] % 11.77/2.36 | : (v1 = v0 | ~ (xsd_integer(v2) = v1) | ~ (xsd_integer(v2) = v0)) % 11.77/2.36 | (27) ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] % 11.77/2.36 | : (v1 = v0 | ~ (cC2(v2) = v1) | ~ (cC2(v2) = v0)) % 11.77/2.37 | (28) ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] % 11.77/2.37 | : (v1 = v0 | ~ (cC10(v2) = v1) | ~ (cC10(v2) = v0)) % 11.77/2.37 | (29) ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] % 11.77/2.37 | : (v1 = v0 | ~ (cC14(v2) = v1) | ~ (cC14(v2) = v0)) % 11.77/2.37 | (30) ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] % 11.77/2.37 | : (v1 = v0 | ~ (cC16(v2) = v1) | ~ (cC16(v2) = v0)) % 11.77/2.37 | (31) ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] % 11.77/2.37 | : (v1 = v0 | ~ (cC18(v2) = v1) | ~ (cC18(v2) = v0)) % 11.77/2.37 | (32) ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] % 11.77/2.37 | : (v1 = v0 | ~ (cC4(v2) = v1) | ~ (cC4(v2) = v0)) % 11.77/2.37 | % 11.77/2.37 | DELTA: instantiating (17) with fresh symbol all_17_0 gives: % 11.77/2.37 | (33) ~ (all_17_0 = 0) & cC2(iV16561) = all_17_0 % 11.77/2.37 | % 11.77/2.37 | ALPHA: (33) implies: % 11.77/2.37 | (34) ~ (all_17_0 = 0) % 11.77/2.37 | (35) cC2(iV16561) = all_17_0 % 11.77/2.37 | % 11.77/2.37 | DELTA: instantiating (19) with fresh symbol all_19_0 gives: % 11.77/2.37 | (36) ~ (all_19_0 = 0) & cC2(iV16562) = all_19_0 % 11.77/2.37 | % 11.77/2.37 | ALPHA: (36) implies: % 11.77/2.37 | (37) ~ (all_19_0 = 0) % 11.77/2.37 | (38) cC2(iV16562) = all_19_0 % 11.77/2.37 | % 11.77/2.37 | DELTA: instantiating (18) with fresh symbol all_21_0 gives: % 11.77/2.37 | (39) ~ (all_21_0 = 0) & cC10(iV16562) = all_21_0 % 11.77/2.37 | % 11.77/2.37 | ALPHA: (39) implies: % 11.77/2.37 | (40) ~ (all_21_0 = 0) % 11.77/2.37 | (41) cC10(iV16562) = all_21_0 % 11.77/2.37 | % 11.77/2.37 | DELTA: instantiating (15) with fresh symbol all_23_0 gives: % 11.77/2.37 | (42) ~ (all_23_0 = 0) & cC4(iV16561) = all_23_0 % 11.77/2.37 | % 11.77/2.37 | ALPHA: (42) implies: % 11.77/2.37 | (43) ~ (all_23_0 = 0) % 11.77/2.37 | (44) cC4(iV16561) = all_23_0 % 11.77/2.37 | % 11.77/2.37 | DELTA: instantiating (24) with fresh symbols all_25_0, all_25_1, all_25_2, % 11.77/2.37 | all_25_3, all_25_4, all_25_5, all_25_6, all_25_7, all_25_8 gives: % 11.77/2.37 | (45) cC6(iV16561) = all_25_2 & cC18(iV16560) = all_25_8 & cC8(iV16560) = % 11.77/2.37 | all_25_4 & cC16(iV16560) = all_25_7 & cC14(iV16560) = all_25_5 & % 11.77/2.37 | cC12(iV16562) = all_25_0 & cowlThing(iV16561) = all_25_3 & % 11.77/2.37 | cowlThing(iV16562) = all_25_1 & cowlThing(iV16560) = all_25_6 & ( ~ % 11.77/2.37 | (all_25_0 = 0) | ~ (all_25_1 = 0) | ~ (all_25_2 = 0) | ~ % 11.77/2.37 | (all_25_3 = 0) | ~ (all_25_4 = 0) | ~ (all_25_5 = 0) | ~ % 11.77/2.37 | (all_25_6 = 0) | ~ (all_25_7 = 0) | ~ (all_25_8 = 0) | ? [v0: $i] % 11.77/2.37 | : ? [v1: any] : ? [v2: any] : (xsd_string(v0) = v1 & % 11.77/2.37 | xsd_integer(v0) = v2 & $i(v0) & ((v2 = 0 & v1 = 0) | ( ~ (v2 = 0) % 11.77/2.37 | & ~ (v1 = 0)))) | ? [v0: $i] : ? [v1: any] : ? [v2: any] : % 11.77/2.37 | (cowlNothing(v0) = v2 & cowlThing(v0) = v1 & $i(v0) & ( ~ (v1 = 0) | % 11.77/2.37 | v2 = 0))) % 11.77/2.37 | % 11.77/2.37 | ALPHA: (45) implies: % 11.77/2.37 | (46) cowlThing(iV16560) = all_25_6 % 11.77/2.37 | (47) cowlThing(iV16562) = all_25_1 % 11.77/2.37 | (48) cowlThing(iV16561) = all_25_3 % 11.77/2.37 | (49) cC12(iV16562) = all_25_0 % 11.77/2.38 | (50) cC14(iV16560) = all_25_5 % 11.77/2.38 | (51) cC16(iV16560) = all_25_7 % 11.77/2.38 | (52) cC8(iV16560) = all_25_4 % 11.77/2.38 | (53) cC18(iV16560) = all_25_8 % 11.77/2.38 | (54) cC6(iV16561) = all_25_2 % 11.77/2.38 | (55) ~ (all_25_0 = 0) | ~ (all_25_1 = 0) | ~ (all_25_2 = 0) | ~ % 11.77/2.38 | (all_25_3 = 0) | ~ (all_25_4 = 0) | ~ (all_25_5 = 0) | ~ (all_25_6 % 11.77/2.38 | = 0) | ~ (all_25_7 = 0) | ~ (all_25_8 = 0) | ? [v0: $i] : ? [v1: % 11.77/2.38 | any] : ? [v2: any] : (xsd_string(v0) = v1 & xsd_integer(v0) = v2 & % 11.77/2.38 | $i(v0) & ((v2 = 0 & v1 = 0) | ( ~ (v2 = 0) & ~ (v1 = 0)))) | ? % 11.77/2.38 | [v0: $i] : ? [v1: any] : ? [v2: any] : (cowlNothing(v0) = v2 & % 11.77/2.38 | cowlThing(v0) = v1 & $i(v0) & ( ~ (v1 = 0) | v2 = 0)) % 11.77/2.38 | % 11.77/2.38 | GROUND_INST: instantiating (25) with 0, all_25_6, iV16560, simplifying with % 11.77/2.38 | (14), (46) gives: % 11.77/2.38 | (56) all_25_6 = 0 % 11.77/2.38 | % 11.77/2.38 | GROUND_INST: instantiating (25) with 0, all_25_1, iV16562, simplifying with % 11.77/2.38 | (20), (47) gives: % 11.77/2.38 | (57) all_25_1 = 0 % 11.77/2.38 | % 11.77/2.38 | GROUND_INST: instantiating (25) with 0, all_25_3, iV16561, simplifying with % 11.77/2.38 | (16), (48) gives: % 11.77/2.38 | (58) all_25_3 = 0 % 11.77/2.38 | % 11.77/2.38 | GROUND_INST: instantiating (5) with iV16562, all_21_0, simplifying with (22), % 11.77/2.38 | (41) gives: % 11.77/2.38 | (59) all_21_0 = 0 | ! [v0: $i] : ( ~ (rR1(iV16562, v0) = 0) | ~ $i(v0) | % 11.77/2.38 | cC2(v0) = 0) % 11.77/2.38 | % 11.77/2.38 | GROUND_INST: instantiating (6) with iV16562, all_25_0, simplifying with (22), % 11.77/2.38 | (49) gives: % 11.77/2.38 | (60) all_25_0 = 0 | ? [v0: any] : ? [v1: any] : (cC10(iV16562) = v1 & % 11.77/2.38 | cC2(iV16562) = v0 & (v1 = 0 | v0 = 0)) % 11.77/2.38 | % 11.77/2.38 | GROUND_INST: instantiating (7) with iV16560, all_25_4, simplifying with (21), % 11.77/2.38 | (52) gives: % 11.77/2.38 | (61) ? [v0: any] : ? [v1: any] : (cC16(iV16560) = v0 & cC14(iV16560) = v1 % 11.77/2.38 | & ( ~ (v0 = 0) | (v1 = 0 & all_25_4 = 0))) % 11.77/2.38 | % 11.77/2.38 | GROUND_INST: instantiating (8) with iV16560, simplifying with (12), (21) % 11.77/2.38 | gives: % 11.77/2.38 | (62) ? [v0: any] : ? [v1: any] : (cC18(iV16560) = v1 & cC16(iV16560) = v0 % 11.77/2.38 | & ( ~ (v0 = 0) | v1 = 0)) % 11.77/2.38 | % 11.77/2.38 | GROUND_INST: instantiating (9) with iV16560, 0, simplifying with (12), (21) % 11.77/2.38 | gives: % 11.77/2.38 | (63) ? [v0: any] : ? [v1: any] : (cC18(iV16560) = v0 & cC16(iV16560) = v1 % 11.77/2.38 | & ( ~ (v0 = 0) | v1 = 0)) % 11.77/2.38 | % 11.77/2.38 | GROUND_INST: instantiating (10) with iV16561, all_25_2, simplifying with (23), % 11.77/2.38 | (54) gives: % 11.77/2.38 | (64) all_25_2 = 0 | ? [v0: any] : ? [v1: any] : (cC4(iV16561) = v1 & % 11.77/2.38 | cC2(iV16561) = v0 & (v1 = 0 | v0 = 0)) % 11.77/2.38 | % 11.77/2.38 | GROUND_INST: instantiating (11) with iV16560, simplifying with (13), (21) % 11.77/2.38 | gives: % 11.77/2.39 | (65) cTOP(iV16560) = 0 & cC18(iV16560) = 0 % 11.77/2.39 | % 11.77/2.39 | ALPHA: (65) implies: % 11.77/2.39 | (66) cC18(iV16560) = 0 % 11.77/2.39 | % 11.77/2.39 | DELTA: instantiating (63) with fresh symbols all_37_0, all_37_1 gives: % 11.77/2.39 | (67) cC18(iV16560) = all_37_1 & cC16(iV16560) = all_37_0 & ( ~ (all_37_1 = % 11.77/2.39 | 0) | all_37_0 = 0) % 11.77/2.39 | % 11.77/2.39 | ALPHA: (67) implies: % 11.77/2.39 | (68) cC16(iV16560) = all_37_0 % 11.77/2.39 | (69) cC18(iV16560) = all_37_1 % 11.77/2.39 | (70) ~ (all_37_1 = 0) | all_37_0 = 0 % 11.77/2.39 | % 11.77/2.39 | DELTA: instantiating (62) with fresh symbols all_39_0, all_39_1 gives: % 11.77/2.39 | (71) cC18(iV16560) = all_39_0 & cC16(iV16560) = all_39_1 & ( ~ (all_39_1 = % 11.77/2.39 | 0) | all_39_0 = 0) % 11.77/2.39 | % 11.77/2.39 | ALPHA: (71) implies: % 11.77/2.39 | (72) cC16(iV16560) = all_39_1 % 11.77/2.39 | (73) cC18(iV16560) = all_39_0 % 11.77/2.39 | % 11.77/2.39 | DELTA: instantiating (61) with fresh symbols all_41_0, all_41_1 gives: % 11.77/2.39 | (74) cC16(iV16560) = all_41_1 & cC14(iV16560) = all_41_0 & ( ~ (all_41_1 = % 11.77/2.39 | 0) | (all_41_0 = 0 & all_25_4 = 0)) % 11.77/2.39 | % 11.77/2.39 | ALPHA: (74) implies: % 11.77/2.39 | (75) cC14(iV16560) = all_41_0 % 11.77/2.39 | (76) cC16(iV16560) = all_41_1 % 11.77/2.39 | (77) ~ (all_41_1 = 0) | (all_41_0 = 0 & all_25_4 = 0) % 11.77/2.39 | % 11.77/2.39 | BETA: splitting (64) gives: % 11.77/2.39 | % 11.77/2.39 | Case 1: % 11.77/2.39 | | % 11.77/2.39 | | (78) all_25_2 = 0 % 11.77/2.39 | | % 11.77/2.39 | | BETA: splitting (60) gives: % 11.77/2.39 | | % 11.77/2.39 | | Case 1: % 11.77/2.39 | | | % 11.77/2.39 | | | (79) all_25_0 = 0 % 11.77/2.39 | | | % 11.77/2.39 | | | GROUND_INST: instantiating (29) with all_25_5, all_41_0, iV16560, % 11.77/2.39 | | | simplifying with (50), (75) gives: % 11.77/2.39 | | | (80) all_41_0 = all_25_5 % 11.77/2.39 | | | % 11.77/2.39 | | | GROUND_INST: instantiating (30) with all_25_7, all_41_1, iV16560, % 11.77/2.39 | | | simplifying with (51), (76) gives: % 11.77/2.39 | | | (81) all_41_1 = all_25_7 % 11.77/2.39 | | | % 11.77/2.39 | | | GROUND_INST: instantiating (30) with all_39_1, all_41_1, iV16560, % 11.77/2.39 | | | simplifying with (72), (76) gives: % 11.77/2.39 | | | (82) all_41_1 = all_39_1 % 11.77/2.39 | | | % 11.77/2.39 | | | GROUND_INST: instantiating (30) with all_37_0, all_41_1, iV16560, % 11.77/2.39 | | | simplifying with (68), (76) gives: % 11.77/2.39 | | | (83) all_41_1 = all_37_0 % 11.77/2.39 | | | % 12.27/2.39 | | | GROUND_INST: instantiating (31) with all_25_8, all_37_1, iV16560, % 12.27/2.39 | | | simplifying with (53), (69) gives: % 12.27/2.39 | | | (84) all_37_1 = all_25_8 % 12.27/2.39 | | | % 12.27/2.39 | | | GROUND_INST: instantiating (31) with all_37_1, all_39_0, iV16560, % 12.27/2.39 | | | simplifying with (69), (73) gives: % 12.27/2.39 | | | (85) all_39_0 = all_37_1 % 12.27/2.39 | | | % 12.27/2.39 | | | GROUND_INST: instantiating (31) with 0, all_39_0, iV16560, simplifying % 12.27/2.39 | | | with (66), (73) gives: % 12.27/2.39 | | | (86) all_39_0 = 0 % 12.27/2.39 | | | % 12.27/2.39 | | | COMBINE_EQS: (81), (82) imply: % 12.27/2.39 | | | (87) all_39_1 = all_25_7 % 12.27/2.39 | | | % 12.27/2.39 | | | COMBINE_EQS: (82), (83) imply: % 12.27/2.39 | | | (88) all_39_1 = all_37_0 % 12.27/2.39 | | | % 12.27/2.39 | | | COMBINE_EQS: (85), (86) imply: % 12.27/2.39 | | | (89) all_37_1 = 0 % 12.27/2.39 | | | % 12.27/2.39 | | | SIMP: (89) implies: % 12.27/2.39 | | | (90) all_37_1 = 0 % 12.27/2.39 | | | % 12.27/2.39 | | | COMBINE_EQS: (87), (88) imply: % 12.27/2.39 | | | (91) all_37_0 = all_25_7 % 12.27/2.39 | | | % 12.27/2.39 | | | COMBINE_EQS: (84), (90) imply: % 12.27/2.39 | | | (92) all_25_8 = 0 % 12.27/2.39 | | | % 12.27/2.39 | | | SIMP: (92) implies: % 12.27/2.39 | | | (93) all_25_8 = 0 % 12.27/2.39 | | | % 12.27/2.39 | | | BETA: splitting (70) gives: % 12.27/2.39 | | | % 12.27/2.39 | | | Case 1: % 12.27/2.39 | | | | % 12.27/2.39 | | | | (94) ~ (all_37_1 = 0) % 12.27/2.39 | | | | % 12.27/2.39 | | | | REDUCE: (90), (94) imply: % 12.27/2.39 | | | | (95) $false % 12.27/2.39 | | | | % 12.27/2.39 | | | | CLOSE: (95) is inconsistent. % 12.27/2.39 | | | | % 12.27/2.40 | | | Case 2: % 12.27/2.40 | | | | % 12.27/2.40 | | | | (96) all_37_0 = 0 % 12.28/2.40 | | | | % 12.28/2.40 | | | | COMBINE_EQS: (91), (96) imply: % 12.28/2.40 | | | | (97) all_25_7 = 0 % 12.28/2.40 | | | | % 12.28/2.40 | | | | COMBINE_EQS: (81), (97) imply: % 12.28/2.40 | | | | (98) all_41_1 = 0 % 12.28/2.40 | | | | % 12.28/2.40 | | | | BETA: splitting (77) gives: % 12.28/2.40 | | | | % 12.28/2.40 | | | | Case 1: % 12.28/2.40 | | | | | % 12.28/2.40 | | | | | (99) ~ (all_41_1 = 0) % 12.28/2.40 | | | | | % 12.28/2.40 | | | | | REDUCE: (98), (99) imply: % 12.28/2.40 | | | | | (100) $false % 12.28/2.40 | | | | | % 12.28/2.40 | | | | | CLOSE: (100) is inconsistent. % 12.28/2.40 | | | | | % 12.28/2.40 | | | | Case 2: % 12.28/2.40 | | | | | % 12.28/2.40 | | | | | (101) all_41_0 = 0 & all_25_4 = 0 % 12.28/2.40 | | | | | % 12.28/2.40 | | | | | ALPHA: (101) implies: % 12.28/2.40 | | | | | (102) all_25_4 = 0 % 12.28/2.40 | | | | | (103) all_41_0 = 0 % 12.28/2.40 | | | | | % 12.28/2.40 | | | | | COMBINE_EQS: (80), (103) imply: % 12.28/2.40 | | | | | (104) all_25_5 = 0 % 12.28/2.40 | | | | | % 12.28/2.40 | | | | | BETA: splitting (55) gives: % 12.28/2.40 | | | | | % 12.28/2.40 | | | | | Case 1: % 12.28/2.40 | | | | | | % 12.28/2.40 | | | | | | (105) ~ (all_25_0 = 0) % 12.28/2.40 | | | | | | % 12.28/2.40 | | | | | | REDUCE: (79), (105) imply: % 12.28/2.40 | | | | | | (106) $false % 12.28/2.40 | | | | | | % 12.28/2.40 | | | | | | CLOSE: (106) is inconsistent. % 12.28/2.40 | | | | | | % 12.28/2.40 | | | | | Case 2: % 12.28/2.40 | | | | | | % 12.28/2.40 | | | | | | (107) ~ (all_25_1 = 0) | ~ (all_25_2 = 0) | ~ (all_25_3 = 0) | % 12.28/2.40 | | | | | | ~ (all_25_4 = 0) | ~ (all_25_5 = 0) | ~ (all_25_6 = 0) | % 12.28/2.40 | | | | | | ~ (all_25_7 = 0) | ~ (all_25_8 = 0) | ? [v0: $i] : ? % 12.28/2.40 | | | | | | [v1: any] : ? [v2: any] : (xsd_string(v0) = v1 & % 12.28/2.40 | | | | | | xsd_integer(v0) = v2 & $i(v0) & ((v2 = 0 & v1 = 0) | ( ~ % 12.28/2.40 | | | | | | (v2 = 0) & ~ (v1 = 0)))) | ? [v0: $i] : ? [v1: % 12.28/2.40 | | | | | | any] : ? [v2: any] : (cowlNothing(v0) = v2 & % 12.28/2.40 | | | | | | cowlThing(v0) = v1 & $i(v0) & ( ~ (v1 = 0) | v2 = 0)) % 12.28/2.40 | | | | | | % 12.28/2.40 | | | | | | BETA: splitting (107) gives: % 12.28/2.40 | | | | | | % 12.28/2.40 | | | | | | Case 1: % 12.28/2.40 | | | | | | | % 12.28/2.40 | | | | | | | (108) ~ (all_25_1 = 0) % 12.28/2.40 | | | | | | | % 12.28/2.40 | | | | | | | REDUCE: (57), (108) imply: % 12.28/2.40 | | | | | | | (109) $false % 12.28/2.40 | | | | | | | % 12.28/2.40 | | | | | | | CLOSE: (109) is inconsistent. % 12.28/2.40 | | | | | | | % 12.28/2.40 | | | | | | Case 2: % 12.28/2.40 | | | | | | | % 12.31/2.40 | | | | | | | (110) ~ (all_25_2 = 0) | ~ (all_25_3 = 0) | ~ (all_25_4 = 0) % 12.31/2.40 | | | | | | | | ~ (all_25_5 = 0) | ~ (all_25_6 = 0) | ~ (all_25_7 = % 12.31/2.40 | | | | | | | 0) | ~ (all_25_8 = 0) | ? [v0: $i] : ? [v1: any] : % 12.31/2.40 | | | | | | | ? [v2: any] : (xsd_string(v0) = v1 & xsd_integer(v0) = v2 % 12.31/2.40 | | | | | | | & $i(v0) & ((v2 = 0 & v1 = 0) | ( ~ (v2 = 0) & ~ (v1 = % 12.31/2.40 | | | | | | | 0)))) | ? [v0: $i] : ? [v1: any] : ? [v2: any] % 12.31/2.40 | | | | | | | : (cowlNothing(v0) = v2 & cowlThing(v0) = v1 & $i(v0) & ( % 12.32/2.40 | | | | | | | ~ (v1 = 0) | v2 = 0)) % 12.32/2.40 | | | | | | | % 12.32/2.40 | | | | | | | BETA: splitting (110) gives: % 12.32/2.40 | | | | | | | % 12.32/2.40 | | | | | | | Case 1: % 12.32/2.40 | | | | | | | | % 12.32/2.40 | | | | | | | | (111) ~ (all_25_2 = 0) % 12.32/2.40 | | | | | | | | % 12.32/2.40 | | | | | | | | REDUCE: (78), (111) imply: % 12.32/2.40 | | | | | | | | (112) $false % 12.32/2.40 | | | | | | | | % 12.32/2.40 | | | | | | | | CLOSE: (112) is inconsistent. % 12.32/2.40 | | | | | | | | % 12.32/2.40 | | | | | | | Case 2: % 12.32/2.40 | | | | | | | | % 12.32/2.40 | | | | | | | | (113) ~ (all_25_3 = 0) | ~ (all_25_4 = 0) | ~ (all_25_5 = % 12.32/2.40 | | | | | | | | 0) | ~ (all_25_6 = 0) | ~ (all_25_7 = 0) | ~ % 12.32/2.40 | | | | | | | | (all_25_8 = 0) | ? [v0: $i] : ? [v1: any] : ? [v2: % 12.32/2.40 | | | | | | | | any] : (xsd_string(v0) = v1 & xsd_integer(v0) = v2 & % 12.32/2.40 | | | | | | | | $i(v0) & ((v2 = 0 & v1 = 0) | ( ~ (v2 = 0) & ~ (v1 = % 12.32/2.40 | | | | | | | | 0)))) | ? [v0: $i] : ? [v1: any] : ? [v2: % 12.32/2.40 | | | | | | | | any] : (cowlNothing(v0) = v2 & cowlThing(v0) = v1 & % 12.32/2.40 | | | | | | | | $i(v0) & ( ~ (v1 = 0) | v2 = 0)) % 12.32/2.40 | | | | | | | | % 12.32/2.40 | | | | | | | | BETA: splitting (113) gives: % 12.32/2.40 | | | | | | | | % 12.32/2.40 | | | | | | | | Case 1: % 12.32/2.40 | | | | | | | | | % 12.32/2.40 | | | | | | | | | (114) ~ (all_25_3 = 0) % 12.32/2.40 | | | | | | | | | % 12.32/2.40 | | | | | | | | | REDUCE: (58), (114) imply: % 12.32/2.40 | | | | | | | | | (115) $false % 12.32/2.40 | | | | | | | | | % 12.32/2.40 | | | | | | | | | CLOSE: (115) is inconsistent. % 12.32/2.40 | | | | | | | | | % 12.32/2.40 | | | | | | | | Case 2: % 12.32/2.40 | | | | | | | | | % 12.32/2.40 | | | | | | | | | (116) ~ (all_25_4 = 0) | ~ (all_25_5 = 0) | ~ (all_25_6 % 12.32/2.40 | | | | | | | | | = 0) | ~ (all_25_7 = 0) | ~ (all_25_8 = 0) | ? % 12.32/2.40 | | | | | | | | | [v0: $i] : ? [v1: any] : ? [v2: any] : % 12.32/2.40 | | | | | | | | | (xsd_string(v0) = v1 & xsd_integer(v0) = v2 & $i(v0) % 12.32/2.40 | | | | | | | | | & ((v2 = 0 & v1 = 0) | ( ~ (v2 = 0) & ~ (v1 = % 12.32/2.40 | | | | | | | | | 0)))) | ? [v0: $i] : ? [v1: any] : ? [v2: % 12.32/2.40 | | | | | | | | | any] : (cowlNothing(v0) = v2 & cowlThing(v0) = v1 & % 12.32/2.40 | | | | | | | | | $i(v0) & ( ~ (v1 = 0) | v2 = 0)) % 12.32/2.40 | | | | | | | | | % 12.32/2.40 | | | | | | | | | BETA: splitting (116) gives: % 12.32/2.40 | | | | | | | | | % 12.32/2.40 | | | | | | | | | Case 1: % 12.32/2.40 | | | | | | | | | | % 12.32/2.40 | | | | | | | | | | (117) ~ (all_25_4 = 0) % 12.32/2.40 | | | | | | | | | | % 12.32/2.40 | | | | | | | | | | REDUCE: (102), (117) imply: % 12.32/2.40 | | | | | | | | | | (118) $false % 12.32/2.40 | | | | | | | | | | % 12.32/2.40 | | | | | | | | | | CLOSE: (118) is inconsistent. % 12.32/2.40 | | | | | | | | | | % 12.32/2.40 | | | | | | | | | Case 2: % 12.32/2.40 | | | | | | | | | | % 12.32/2.41 | | | | | | | | | | (119) ~ (all_25_5 = 0) | ~ (all_25_6 = 0) | ~ % 12.32/2.41 | | | | | | | | | | (all_25_7 = 0) | ~ (all_25_8 = 0) | ? [v0: $i] : % 12.32/2.41 | | | | | | | | | | ? [v1: any] : ? [v2: any] : (xsd_string(v0) = v1 & % 12.32/2.41 | | | | | | | | | | xsd_integer(v0) = v2 & $i(v0) & ((v2 = 0 & v1 = % 12.32/2.41 | | | | | | | | | | 0) | ( ~ (v2 = 0) & ~ (v1 = 0)))) | ? [v0: % 12.32/2.41 | | | | | | | | | | $i] : ? [v1: any] : ? [v2: any] : % 12.32/2.41 | | | | | | | | | | (cowlNothing(v0) = v2 & cowlThing(v0) = v1 & $i(v0) % 12.32/2.41 | | | | | | | | | | & ( ~ (v1 = 0) | v2 = 0)) % 12.32/2.41 | | | | | | | | | | % 12.32/2.41 | | | | | | | | | | BETA: splitting (119) gives: % 12.32/2.41 | | | | | | | | | | % 12.32/2.41 | | | | | | | | | | Case 1: % 12.32/2.41 | | | | | | | | | | | % 12.32/2.41 | | | | | | | | | | | (120) ~ (all_25_5 = 0) % 12.32/2.41 | | | | | | | | | | | % 12.32/2.41 | | | | | | | | | | | REDUCE: (104), (120) imply: % 12.32/2.41 | | | | | | | | | | | (121) $false % 12.32/2.41 | | | | | | | | | | | % 12.32/2.41 | | | | | | | | | | | CLOSE: (121) is inconsistent. % 12.32/2.41 | | | | | | | | | | | % 12.32/2.41 | | | | | | | | | | Case 2: % 12.32/2.41 | | | | | | | | | | | % 12.32/2.41 | | | | | | | | | | | (122) ~ (all_25_6 = 0) | ~ (all_25_7 = 0) | ~ % 12.32/2.41 | | | | | | | | | | | (all_25_8 = 0) | ? [v0: $i] : ? [v1: any] : ? % 12.32/2.41 | | | | | | | | | | | [v2: any] : (xsd_string(v0) = v1 & xsd_integer(v0) % 12.32/2.41 | | | | | | | | | | | = v2 & $i(v0) & ((v2 = 0 & v1 = 0) | ( ~ (v2 = % 12.32/2.41 | | | | | | | | | | | 0) & ~ (v1 = 0)))) | ? [v0: $i] : ? % 12.32/2.41 | | | | | | | | | | | [v1: any] : ? [v2: any] : (cowlNothing(v0) = v2 & % 12.32/2.41 | | | | | | | | | | | cowlThing(v0) = v1 & $i(v0) & ( ~ (v1 = 0) | v2 % 12.32/2.41 | | | | | | | | | | | = 0)) % 12.32/2.41 | | | | | | | | | | | % 12.32/2.41 | | | | | | | | | | | BETA: splitting (122) gives: % 12.32/2.41 | | | | | | | | | | | % 12.32/2.41 | | | | | | | | | | | Case 1: % 12.32/2.41 | | | | | | | | | | | | % 12.32/2.41 | | | | | | | | | | | | (123) ~ (all_25_6 = 0) % 12.32/2.41 | | | | | | | | | | | | % 12.32/2.41 | | | | | | | | | | | | REDUCE: (56), (123) imply: % 12.32/2.41 | | | | | | | | | | | | (124) $false % 12.32/2.41 | | | | | | | | | | | | % 12.32/2.41 | | | | | | | | | | | | CLOSE: (124) is inconsistent. % 12.32/2.41 | | | | | | | | | | | | % 12.32/2.41 | | | | | | | | | | | Case 2: % 12.32/2.41 | | | | | | | | | | | | % 12.32/2.41 | | | | | | | | | | | | (125) ~ (all_25_7 = 0) | ~ (all_25_8 = 0) | ? [v0: % 12.32/2.41 | | | | | | | | | | | | $i] : ? [v1: any] : ? [v2: any] : % 12.32/2.41 | | | | | | | | | | | | (xsd_string(v0) = v1 & xsd_integer(v0) = v2 & % 12.32/2.41 | | | | | | | | | | | | $i(v0) & ((v2 = 0 & v1 = 0) | ( ~ (v2 = 0) & ~ % 12.32/2.41 | | | | | | | | | | | | (v1 = 0)))) | ? [v0: $i] : ? [v1: any] : % 12.32/2.41 | | | | | | | | | | | | ? [v2: any] : (cowlNothing(v0) = v2 & % 12.32/2.41 | | | | | | | | | | | | cowlThing(v0) = v1 & $i(v0) & ( ~ (v1 = 0) | v2 % 12.32/2.41 | | | | | | | | | | | | = 0)) % 12.32/2.41 | | | | | | | | | | | | % 12.32/2.41 | | | | | | | | | | | | BETA: splitting (125) gives: % 12.32/2.41 | | | | | | | | | | | | % 12.32/2.41 | | | | | | | | | | | | Case 1: % 12.32/2.41 | | | | | | | | | | | | | % 12.32/2.41 | | | | | | | | | | | | | (126) ~ (all_25_7 = 0) % 12.32/2.41 | | | | | | | | | | | | | % 12.32/2.41 | | | | | | | | | | | | | REDUCE: (97), (126) imply: % 12.32/2.41 | | | | | | | | | | | | | (127) $false % 12.32/2.41 | | | | | | | | | | | | | % 12.32/2.41 | | | | | | | | | | | | | CLOSE: (127) is inconsistent. % 12.32/2.41 | | | | | | | | | | | | | % 12.32/2.41 | | | | | | | | | | | | Case 2: % 12.32/2.41 | | | | | | | | | | | | | % 12.32/2.41 | | | | | | | | | | | | | (128) ~ (all_25_8 = 0) | ? [v0: $i] : ? [v1: any] : % 12.32/2.41 | | | | | | | | | | | | | ? [v2: any] : (xsd_string(v0) = v1 & % 12.32/2.41 | | | | | | | | | | | | | xsd_integer(v0) = v2 & $i(v0) & ((v2 = 0 & v1 = % 12.32/2.41 | | | | | | | | | | | | | 0) | ( ~ (v2 = 0) & ~ (v1 = 0)))) | ? [v0: % 12.32/2.41 | | | | | | | | | | | | | $i] : ? [v1: any] : ? [v2: any] : % 12.32/2.41 | | | | | | | | | | | | | (cowlNothing(v0) = v2 & cowlThing(v0) = v1 & % 12.32/2.41 | | | | | | | | | | | | | $i(v0) & ( ~ (v1 = 0) | v2 = 0)) % 12.32/2.41 | | | | | | | | | | | | | % 12.32/2.41 | | | | | | | | | | | | | BETA: splitting (128) gives: % 12.32/2.41 | | | | | | | | | | | | | % 12.32/2.41 | | | | | | | | | | | | | Case 1: % 12.32/2.41 | | | | | | | | | | | | | | % 12.32/2.41 | | | | | | | | | | | | | | (129) ~ (all_25_8 = 0) % 12.32/2.41 | | | | | | | | | | | | | | % 12.32/2.41 | | | | | | | | | | | | | | REDUCE: (93), (129) imply: % 12.32/2.41 | | | | | | | | | | | | | | (130) $false % 12.32/2.41 | | | | | | | | | | | | | | % 12.32/2.41 | | | | | | | | | | | | | | CLOSE: (130) is inconsistent. % 12.32/2.41 | | | | | | | | | | | | | | % 12.32/2.41 | | | | | | | | | | | | | Case 2: % 12.32/2.41 | | | | | | | | | | | | | | % 12.32/2.41 | | | | | | | | | | | | | | (131) ? [v0: $i] : ? [v1: any] : ? [v2: any] : % 12.32/2.41 | | | | | | | | | | | | | | (xsd_string(v0) = v1 & xsd_integer(v0) = v2 & % 12.32/2.41 | | | | | | | | | | | | | | $i(v0) & ((v2 = 0 & v1 = 0) | ( ~ (v2 = 0) & ~ % 12.32/2.41 | | | | | | | | | | | | | | (v1 = 0)))) | ? [v0: $i] : ? [v1: any] : % 12.32/2.41 | | | | | | | | | | | | | | ? [v2: any] : (cowlNothing(v0) = v2 & % 12.32/2.41 | | | | | | | | | | | | | | cowlThing(v0) = v1 & $i(v0) & ( ~ (v1 = 0) | v2 % 12.32/2.41 | | | | | | | | | | | | | | = 0)) % 12.32/2.41 | | | | | | | | | | | | | | % 12.32/2.41 | | | | | | | | | | | | | | BETA: splitting (131) gives: % 12.32/2.41 | | | | | | | | | | | | | | % 12.32/2.41 | | | | | | | | | | | | | | Case 1: % 12.32/2.41 | | | | | | | | | | | | | | | % 12.32/2.41 | | | | | | | | | | | | | | | (132) ? [v0: $i] : ? [v1: any] : ? [v2: any] : % 12.32/2.41 | | | | | | | | | | | | | | | (xsd_string(v0) = v1 & xsd_integer(v0) = v2 & % 12.32/2.41 | | | | | | | | | | | | | | | $i(v0) & ((v2 = 0 & v1 = 0) | ( ~ (v2 = 0) & ~ % 12.32/2.41 | | | | | | | | | | | | | | | (v1 = 0)))) % 12.32/2.41 | | | | | | | | | | | | | | | % 12.32/2.41 | | | | | | | | | | | | | | | DELTA: instantiating (132) with fresh symbols all_167_0, % 12.32/2.41 | | | | | | | | | | | | | | | all_167_1, all_167_2 gives: % 12.32/2.41 | | | | | | | | | | | | | | | (133) xsd_string(all_167_2) = all_167_1 & % 12.32/2.41 | | | | | | | | | | | | | | | xsd_integer(all_167_2) = all_167_0 & $i(all_167_2) % 12.32/2.41 | | | | | | | | | | | | | | | & ((all_167_0 = 0 & all_167_1 = 0) | ( ~ % 12.32/2.41 | | | | | | | | | | | | | | | (all_167_0 = 0) & ~ (all_167_1 = 0))) % 12.32/2.41 | | | | | | | | | | | | | | | % 12.32/2.41 | | | | | | | | | | | | | | | ALPHA: (133) implies: % 12.32/2.41 | | | | | | | | | | | | | | | (134) $i(all_167_2) % 12.32/2.41 | | | | | | | | | | | | | | | (135) xsd_integer(all_167_2) = all_167_0 % 12.32/2.41 | | | | | | | | | | | | | | | (136) xsd_string(all_167_2) = all_167_1 % 12.32/2.41 | | | | | | | | | | | | | | | (137) (all_167_0 = 0 & all_167_1 = 0) | ( ~ (all_167_0 = % 12.32/2.41 | | | | | | | | | | | | | | | 0) & ~ (all_167_1 = 0)) % 12.32/2.41 | | | | | | | | | | | | | | | % 12.32/2.41 | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_167_2, all_167_1, % 12.32/2.41 | | | | | | | | | | | | | | | simplifying with (134), (136) gives: % 12.32/2.41 | | | | | | | | | | | | | | | (138) all_167_1 = 0 | xsd_integer(all_167_2) = 0 % 12.32/2.41 | | | | | | | | | | | | | | | % 12.32/2.41 | | | | | | | | | | | | | | | BETA: splitting (137) gives: % 12.32/2.41 | | | | | | | | | | | | | | | % 12.32/2.41 | | | | | | | | | | | | | | | Case 1: % 12.32/2.41 | | | | | | | | | | | | | | | | % 12.32/2.41 | | | | | | | | | | | | | | | | (139) all_167_0 = 0 & all_167_1 = 0 % 12.32/2.41 | | | | | | | | | | | | | | | | % 12.32/2.41 | | | | | | | | | | | | | | | | ALPHA: (139) implies: % 12.32/2.42 | | | | | | | | | | | | | | | | (140) all_167_1 = 0 % 12.32/2.42 | | | | | | | | | | | | | | | | (141) all_167_0 = 0 % 12.32/2.42 | | | | | | | | | | | | | | | | % 12.32/2.42 | | | | | | | | | | | | | | | | REDUCE: (136), (140) imply: % 12.32/2.42 | | | | | | | | | | | | | | | | (142) xsd_string(all_167_2) = 0 % 12.32/2.42 | | | | | | | | | | | | | | | | % 12.32/2.42 | | | | | | | | | | | | | | | | REDUCE: (135), (141) imply: % 12.32/2.42 | | | | | | | | | | | | | | | | (143) xsd_integer(all_167_2) = 0 % 12.32/2.42 | | | | | | | | | | | | | | | | % 12.32/2.42 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with all_167_2, simplifying with % 12.32/2.42 | | | | | | | | | | | | | | | | (134), (142) gives: % 12.32/2.42 | | | | | | | | | | | | | | | | (144) ? [v0: int] : ( ~ (v0 = 0) & % 12.32/2.42 | | | | | | | | | | | | | | | | xsd_integer(all_167_2) = v0) % 12.32/2.42 | | | | | | | | | | | | | | | | % 12.32/2.42 | | | | | | | | | | | | | | | | DELTA: instantiating (144) with fresh symbol all_181_0 % 12.32/2.42 | | | | | | | | | | | | | | | | gives: % 12.32/2.42 | | | | | | | | | | | | | | | | (145) ~ (all_181_0 = 0) & xsd_integer(all_167_2) = % 12.32/2.42 | | | | | | | | | | | | | | | | all_181_0 % 12.32/2.42 | | | | | | | | | | | | | | | | % 12.32/2.42 | | | | | | | | | | | | | | | | ALPHA: (145) implies: % 12.32/2.42 | | | | | | | | | | | | | | | | (146) ~ (all_181_0 = 0) % 12.32/2.42 | | | | | | | | | | | | | | | | (147) xsd_integer(all_167_2) = all_181_0 % 12.32/2.42 | | | | | | | | | | | | | | | | % 12.32/2.42 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (26) with 0, all_181_0, all_167_2, % 12.32/2.42 | | | | | | | | | | | | | | | | simplifying with (143), (147) gives: % 12.32/2.42 | | | | | | | | | | | | | | | | (148) all_181_0 = 0 % 12.32/2.42 | | | | | | | | | | | | | | | | % 12.32/2.42 | | | | | | | | | | | | | | | | REDUCE: (146), (148) imply: % 12.32/2.42 | | | | | | | | | | | | | | | | (149) $false % 12.32/2.42 | | | | | | | | | | | | | | | | % 12.32/2.42 | | | | | | | | | | | | | | | | CLOSE: (149) is inconsistent. % 12.32/2.42 | | | | | | | | | | | | | | | | % 12.32/2.42 | | | | | | | | | | | | | | | Case 2: % 12.32/2.42 | | | | | | | | | | | | | | | | % 12.32/2.42 | | | | | | | | | | | | | | | | (150) ~ (all_167_0 = 0) & ~ (all_167_1 = 0) % 12.32/2.42 | | | | | | | | | | | | | | | | % 12.32/2.42 | | | | | | | | | | | | | | | | ALPHA: (150) implies: % 12.32/2.42 | | | | | | | | | | | | | | | | (151) ~ (all_167_1 = 0) % 12.32/2.42 | | | | | | | | | | | | | | | | (152) ~ (all_167_0 = 0) % 12.32/2.42 | | | | | | | | | | | | | | | | % 12.32/2.42 | | | | | | | | | | | | | | | | BETA: splitting (138) gives: % 12.32/2.42 | | | | | | | | | | | | | | | | % 12.32/2.42 | | | | | | | | | | | | | | | | Case 1: % 12.32/2.42 | | | | | | | | | | | | | | | | | % 12.32/2.42 | | | | | | | | | | | | | | | | | (153) xsd_integer(all_167_2) = 0 % 12.32/2.42 | | | | | | | | | | | | | | | | | % 12.32/2.42 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (26) with all_167_0, 0, all_167_2, % 12.32/2.42 | | | | | | | | | | | | | | | | | simplifying with (135), (153) gives: % 12.32/2.42 | | | | | | | | | | | | | | | | | (154) all_167_0 = 0 % 12.32/2.42 | | | | | | | | | | | | | | | | | % 12.32/2.42 | | | | | | | | | | | | | | | | | REDUCE: (152), (154) imply: % 12.32/2.42 | | | | | | | | | | | | | | | | | (155) $false % 12.32/2.42 | | | | | | | | | | | | | | | | | % 12.32/2.42 | | | | | | | | | | | | | | | | | CLOSE: (155) is inconsistent. % 12.32/2.42 | | | | | | | | | | | | | | | | | % 12.32/2.42 | | | | | | | | | | | | | | | | Case 2: % 12.32/2.42 | | | | | | | | | | | | | | | | | % 12.32/2.42 | | | | | | | | | | | | | | | | | (156) all_167_1 = 0 % 12.32/2.42 | | | | | | | | | | | | | | | | | % 12.32/2.42 | | | | | | | | | | | | | | | | | REDUCE: (151), (156) imply: % 12.32/2.42 | | | | | | | | | | | | | | | | | (157) $false % 12.32/2.42 | | | | | | | | | | | | | | | | | % 12.32/2.42 | | | | | | | | | | | | | | | | | CLOSE: (157) is inconsistent. % 12.32/2.42 | | | | | | | | | | | | | | | | | % 12.32/2.42 | | | | | | | | | | | | | | | | End of split % 12.32/2.42 | | | | | | | | | | | | | | | | % 12.32/2.42 | | | | | | | | | | | | | | | End of split % 12.32/2.42 | | | | | | | | | | | | | | | % 12.32/2.42 | | | | | | | | | | | | | | Case 2: % 12.32/2.42 | | | | | | | | | | | | | | | % 12.32/2.42 | | | | | | | | | | | | | | | (158) ? [v0: $i] : ? [v1: any] : ? [v2: any] : % 12.32/2.42 | | | | | | | | | | | | | | | (cowlNothing(v0) = v2 & cowlThing(v0) = v1 & % 12.32/2.42 | | | | | | | | | | | | | | | $i(v0) & ( ~ (v1 = 0) | v2 = 0)) % 12.32/2.42 | | | | | | | | | | | | | | | % 12.32/2.42 | | | | | | | | | | | | | | | DELTA: instantiating (158) with fresh symbols all_167_0, % 12.32/2.42 | | | | | | | | | | | | | | | all_167_1, all_167_2 gives: % 12.32/2.42 | | | | | | | | | | | | | | | (159) cowlNothing(all_167_2) = all_167_0 & % 12.32/2.42 | | | | | | | | | | | | | | | cowlThing(all_167_2) = all_167_1 & $i(all_167_2) & % 12.32/2.42 | | | | | | | | | | | | | | | ( ~ (all_167_1 = 0) | all_167_0 = 0) % 12.32/2.42 | | | | | | | | | | | | | | | % 12.32/2.42 | | | | | | | | | | | | | | | ALPHA: (159) implies: % 12.32/2.42 | | | | | | | | | | | | | | | (160) $i(all_167_2) % 12.32/2.42 | | | | | | | | | | | | | | | (161) cowlThing(all_167_2) = all_167_1 % 12.32/2.42 | | | | | | | | | | | | | | | (162) cowlNothing(all_167_2) = all_167_0 % 12.32/2.42 | | | | | | | | | | | | | | | (163) ~ (all_167_1 = 0) | all_167_0 = 0 % 12.32/2.42 | | | | | | | | | | | | | | | % 12.32/2.42 | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with all_167_2, all_167_1, % 12.32/2.42 | | | | | | | | | | | | | | | simplifying with (160), (161) gives: % 12.32/2.42 | | | | | | | | | | | | | | | (164) all_167_1 = 0 % 12.32/2.42 | | | | | | | | | | | | | | | % 12.32/2.42 | | | | | | | | | | | | | | | BETA: splitting (163) gives: % 12.32/2.42 | | | | | | | | | | | | | | | % 12.32/2.42 | | | | | | | | | | | | | | | Case 1: % 12.32/2.42 | | | | | | | | | | | | | | | | % 12.32/2.42 | | | | | | | | | | | | | | | | (165) ~ (all_167_1 = 0) % 12.32/2.42 | | | | | | | | | | | | | | | | % 12.32/2.42 | | | | | | | | | | | | | | | | REDUCE: (164), (165) imply: % 12.32/2.42 | | | | | | | | | | | | | | | | (166) $false % 12.32/2.42 | | | | | | | | | | | | | | | | % 12.32/2.42 | | | | | | | | | | | | | | | | CLOSE: (166) is inconsistent. % 12.32/2.42 | | | | | | | | | | | | | | | | % 12.32/2.42 | | | | | | | | | | | | | | | Case 2: % 12.32/2.42 | | | | | | | | | | | | | | | | % 12.32/2.42 | | | | | | | | | | | | | | | | (167) all_167_0 = 0 % 12.32/2.42 | | | | | | | | | | | | | | | | % 12.32/2.42 | | | | | | | | | | | | | | | | REDUCE: (162), (167) imply: % 12.32/2.42 | | | | | | | | | | | | | | | | (168) cowlNothing(all_167_2) = 0 % 12.32/2.42 | | | | | | | | | | | | | | | | % 12.32/2.42 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (1) with all_167_2, simplifying with % 12.32/2.42 | | | | | | | | | | | | | | | | (160), (168) gives: % 12.32/2.42 | | | | | | | | | | | | | | | | (169) $false % 12.32/2.42 | | | | | | | | | | | | | | | | % 12.32/2.42 | | | | | | | | | | | | | | | | CLOSE: (169) is inconsistent. % 12.32/2.42 | | | | | | | | | | | | | | | | % 12.32/2.42 | | | | | | | | | | | | | | | End of split % 12.32/2.42 | | | | | | | | | | | | | | | % 12.32/2.42 | | | | | | | | | | | | | | End of split % 12.32/2.42 | | | | | | | | | | | | | | % 12.32/2.42 | | | | | | | | | | | | | End of split % 12.32/2.42 | | | | | | | | | | | | | % 12.32/2.42 | | | | | | | | | | | | End of split % 12.32/2.42 | | | | | | | | | | | | % 12.32/2.42 | | | | | | | | | | | End of split % 12.32/2.42 | | | | | | | | | | | % 12.32/2.42 | | | | | | | | | | End of split % 12.32/2.42 | | | | | | | | | | % 12.32/2.42 | | | | | | | | | End of split % 12.32/2.42 | | | | | | | | | % 12.32/2.42 | | | | | | | | End of split % 12.32/2.42 | | | | | | | | % 12.32/2.42 | | | | | | | End of split % 12.32/2.42 | | | | | | | % 12.32/2.42 | | | | | | End of split % 12.32/2.42 | | | | | | % 12.32/2.42 | | | | | End of split % 12.32/2.42 | | | | | % 12.32/2.42 | | | | End of split % 12.32/2.42 | | | | % 12.32/2.42 | | | End of split % 12.32/2.42 | | | % 12.32/2.42 | | Case 2: % 12.32/2.42 | | | % 12.32/2.42 | | | (170) ? [v0: any] : ? [v1: any] : (cC10(iV16562) = v1 & cC2(iV16562) % 12.32/2.42 | | | = v0 & (v1 = 0 | v0 = 0)) % 12.32/2.42 | | | % 12.32/2.42 | | | DELTA: instantiating (170) with fresh symbols all_59_0, all_59_1 gives: % 12.32/2.42 | | | (171) cC10(iV16562) = all_59_0 & cC2(iV16562) = all_59_1 & (all_59_0 = % 12.32/2.42 | | | 0 | all_59_1 = 0) % 12.32/2.42 | | | % 12.32/2.42 | | | ALPHA: (171) implies: % 12.32/2.42 | | | (172) cC2(iV16562) = all_59_1 % 12.32/2.42 | | | (173) cC10(iV16562) = all_59_0 % 12.32/2.42 | | | (174) all_59_0 = 0 | all_59_1 = 0 % 12.32/2.42 | | | % 12.32/2.42 | | | GROUND_INST: instantiating (27) with all_19_0, all_59_1, iV16562, % 12.32/2.42 | | | simplifying with (38), (172) gives: % 12.32/2.42 | | | (175) all_59_1 = all_19_0 % 12.32/2.42 | | | % 12.32/2.42 | | | GROUND_INST: instantiating (28) with all_21_0, all_59_0, iV16562, % 12.32/2.42 | | | simplifying with (41), (173) gives: % 12.32/2.42 | | | (176) all_59_0 = all_21_0 % 12.32/2.42 | | | % 12.32/2.42 | | | BETA: splitting (174) gives: % 12.32/2.42 | | | % 12.32/2.42 | | | Case 1: % 12.32/2.42 | | | | % 12.32/2.42 | | | | (177) all_59_0 = 0 % 12.32/2.42 | | | | % 12.32/2.42 | | | | COMBINE_EQS: (176), (177) imply: % 12.32/2.42 | | | | (178) all_21_0 = 0 % 12.32/2.42 | | | | % 12.32/2.43 | | | | REDUCE: (40), (178) imply: % 12.32/2.43 | | | | (179) $false % 12.32/2.43 | | | | % 12.32/2.43 | | | | CLOSE: (179) is inconsistent. % 12.32/2.43 | | | | % 12.32/2.43 | | | Case 2: % 12.32/2.43 | | | | % 12.32/2.43 | | | | (180) all_59_1 = 0 % 12.32/2.43 | | | | % 12.32/2.43 | | | | COMBINE_EQS: (175), (180) imply: % 12.32/2.43 | | | | (181) all_19_0 = 0 % 12.32/2.43 | | | | % 12.32/2.43 | | | | REDUCE: (37), (181) imply: % 12.32/2.43 | | | | (182) $false % 12.32/2.43 | | | | % 12.32/2.43 | | | | CLOSE: (182) is inconsistent. % 12.32/2.43 | | | | % 12.32/2.43 | | | End of split % 12.32/2.43 | | | % 12.32/2.43 | | End of split % 12.32/2.43 | | % 12.32/2.43 | Case 2: % 12.32/2.43 | | % 12.32/2.43 | | (183) ? [v0: any] : ? [v1: any] : (cC4(iV16561) = v1 & cC2(iV16561) = % 12.32/2.43 | | v0 & (v1 = 0 | v0 = 0)) % 12.32/2.43 | | % 12.32/2.43 | | BETA: splitting (59) gives: % 12.32/2.43 | | % 12.32/2.43 | | Case 1: % 12.32/2.43 | | | % 12.32/2.43 | | | (184) all_21_0 = 0 % 12.32/2.43 | | | % 12.32/2.43 | | | REDUCE: (40), (184) imply: % 12.32/2.43 | | | (185) $false % 12.32/2.43 | | | % 12.32/2.43 | | | CLOSE: (185) is inconsistent. % 12.32/2.43 | | | % 12.32/2.43 | | Case 2: % 12.32/2.43 | | | % 12.32/2.43 | | | % 12.32/2.43 | | | DELTA: instantiating (183) with fresh symbols all_55_0, all_55_1 gives: % 12.32/2.43 | | | (186) cC4(iV16561) = all_55_0 & cC2(iV16561) = all_55_1 & (all_55_0 = 0 % 12.32/2.43 | | | | all_55_1 = 0) % 12.32/2.43 | | | % 12.32/2.43 | | | ALPHA: (186) implies: % 12.32/2.43 | | | (187) cC2(iV16561) = all_55_1 % 12.32/2.43 | | | (188) cC4(iV16561) = all_55_0 % 12.32/2.43 | | | (189) all_55_0 = 0 | all_55_1 = 0 % 12.32/2.43 | | | % 12.32/2.43 | | | GROUND_INST: instantiating (27) with all_17_0, all_55_1, iV16561, % 12.32/2.43 | | | simplifying with (35), (187) gives: % 12.32/2.43 | | | (190) all_55_1 = all_17_0 % 12.32/2.43 | | | % 12.32/2.43 | | | GROUND_INST: instantiating (32) with all_23_0, all_55_0, iV16561, % 12.32/2.43 | | | simplifying with (44), (188) gives: % 12.32/2.43 | | | (191) all_55_0 = all_23_0 % 12.32/2.43 | | | % 12.32/2.43 | | | BETA: splitting (189) gives: % 12.32/2.43 | | | % 12.32/2.43 | | | Case 1: % 12.32/2.43 | | | | % 12.32/2.43 | | | | (192) all_55_0 = 0 % 12.32/2.43 | | | | % 12.32/2.43 | | | | COMBINE_EQS: (191), (192) imply: % 12.32/2.43 | | | | (193) all_23_0 = 0 % 12.32/2.43 | | | | % 12.32/2.43 | | | | SIMP: (193) implies: % 12.32/2.43 | | | | (194) all_23_0 = 0 % 12.32/2.43 | | | | % 12.32/2.43 | | | | REDUCE: (43), (194) imply: % 12.32/2.43 | | | | (195) $false % 12.32/2.43 | | | | % 12.32/2.43 | | | | CLOSE: (195) is inconsistent. % 12.32/2.43 | | | | % 12.32/2.43 | | | Case 2: % 12.32/2.43 | | | | % 12.32/2.43 | | | | (196) all_55_1 = 0 % 12.32/2.43 | | | | % 12.32/2.43 | | | | COMBINE_EQS: (190), (196) imply: % 12.32/2.43 | | | | (197) all_17_0 = 0 % 12.32/2.43 | | | | % 12.32/2.43 | | | | REDUCE: (34), (197) imply: % 12.32/2.43 | | | | (198) $false % 12.32/2.43 | | | | % 12.32/2.43 | | | | CLOSE: (198) is inconsistent. % 12.32/2.43 | | | | % 12.32/2.43 | | | End of split % 12.32/2.43 | | | % 12.32/2.43 | | End of split % 12.32/2.43 | | % 12.32/2.43 | End of split % 12.32/2.43 | % 12.32/2.43 End of proof % 12.32/2.43 % SZS output end Proof for theBenchmark % 12.32/2.43 % 12.32/2.43 1845ms %------------------------------------------------------------------------------