%------------------------------------------------------------------------------ % File : Princess---230619 % Problem : KRS160+1 : TPTP v8.1.2. Released v3.1.0. % Transfm : none % Format : tptp % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s % Computer : n017.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 300s % DateTime : Thu Aug 31 05:51:29 EDT 2023 % Result : Theorem 6.80s 1.61s % Output : Proof 9.12s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.08/0.14 % Problem : KRS160+1 : TPTP v8.1.2. Released v3.1.0. % 0.08/0.14 % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s % 0.14/0.36 % Computer : n017.cluster.edu % 0.14/0.36 % Model : x86_64 x86_64 % 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.14/0.36 % Memory : 8042.1875MB % 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64 % 0.14/0.36 % CPULimit : 300 % 0.14/0.36 % WCLimit : 300 % 0.14/0.36 % DateTime : Mon Aug 28 00:47:57 EDT 2023 % 0.14/0.36 % CPUTime : % 0.22/0.61 ________ _____ % 0.22/0.61 ___ __ \_________(_)________________________________ % 0.22/0.61 __ /_/ /_ ___/_ /__ __ \ ___/ _ \_ ___/_ ___/ % 0.22/0.61 _ ____/_ / _ / _ / / / /__ / __/(__ )_(__ ) % 0.22/0.61 /_/ /_/ /_/ /_/ /_/\___/ \___//____/ /____/ % 0.22/0.61 % 0.22/0.61 A Theorem Prover for First-Order Logic modulo Linear Integer Arithmetic % 0.22/0.61 (2023-06-19) % 0.22/0.61 % 0.22/0.61 (c) Philipp Rümmer, 2009-2023 % 0.22/0.61 Contributors: Peter Backeman, Peter Baumgartner, Angelo Brillout, Zafer Esen, % 0.22/0.61 Amanda Stjerna. % 0.22/0.61 Free software under BSD-3-Clause. % 0.22/0.61 % 0.22/0.61 For more information, visit http://www.philipp.ruemmer.org/princess.shtml % 0.22/0.61 % 0.22/0.62 Loading /export/starexec/sandbox2/benchmark/theBenchmark.p ... % 0.22/0.63 Running up to 7 provers in parallel. % 0.22/0.64 Prover 3: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996 % 0.22/0.64 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1571432423 % 0.22/0.64 Prover 2: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1065072994 % 0.22/0.64 Prover 0: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893 % 0.22/0.64 Prover 5: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288 % 0.22/0.64 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696 % 0.22/0.64 Prover 6: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365 % 2.35/1.00 Prover 4: Preprocessing ... % 2.35/1.00 Prover 1: Preprocessing ... % 2.35/1.04 Prover 2: Preprocessing ... % 2.35/1.04 Prover 0: Preprocessing ... % 2.35/1.04 Prover 5: Preprocessing ... % 2.35/1.04 Prover 6: Preprocessing ... % 2.35/1.04 Prover 3: Preprocessing ... % 4.47/1.30 Prover 5: Proving ... % 4.47/1.30 Prover 2: Proving ... % 5.25/1.42 Prover 6: Proving ... % 5.25/1.44 Prover 3: Constructing countermodel ... % 5.68/1.46 Prover 1: Constructing countermodel ... % 6.29/1.54 Prover 4: Constructing countermodel ... % 6.36/1.61 Prover 2: proved (970ms) % 6.36/1.61 % 6.80/1.61 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p % 6.80/1.61 % 6.80/1.61 Prover 3: stopped % 6.80/1.61 Prover 5: stopped % 6.80/1.61 Prover 6: stopped % 6.80/1.62 Prover 8: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089 % 6.80/1.62 Prover 7: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470 % 6.80/1.62 Prover 11: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1509710984 % 6.80/1.62 Prover 10: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=919308125 % 6.80/1.62 Prover 0: Proving ... % 6.80/1.63 Prover 0: stopped % 6.80/1.63 Prover 13: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=1138197443 % 7.14/1.66 Prover 8: Preprocessing ... % 7.14/1.66 Prover 7: Preprocessing ... % 7.14/1.66 Prover 10: Preprocessing ... % 7.14/1.67 Prover 11: Preprocessing ... % 7.14/1.68 Prover 13: Preprocessing ... % 7.14/1.72 Prover 7: Warning: ignoring some quantifiers % 7.14/1.72 Prover 10: Warning: ignoring some quantifiers % 7.14/1.73 Prover 10: Constructing countermodel ... % 7.14/1.74 Prover 7: Constructing countermodel ... % 7.14/1.74 Prover 13: Warning: ignoring some quantifiers % 7.83/1.75 Prover 13: Constructing countermodel ... % 8.61/1.85 Prover 1: Found proof (size 69) % 8.61/1.86 Prover 1: proved (1219ms) % 8.61/1.86 Prover 10: stopped % 8.61/1.86 Prover 4: stopped % 8.61/1.86 Prover 7: stopped % 8.61/1.86 Prover 13: stopped % 8.61/1.87 Prover 11: Constructing countermodel ... % 8.61/1.87 Prover 8: Warning: ignoring some quantifiers % 8.61/1.88 Prover 8: Constructing countermodel ... % 8.61/1.88 Prover 11: stopped % 8.61/1.89 Prover 8: stopped % 8.61/1.89 % 8.61/1.89 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p % 8.61/1.89 % 8.61/1.90 % SZS output start Proof for theBenchmark % 8.61/1.90 Assumptions after simplification: % 8.61/1.90 --------------------------------- % 8.61/1.90 % 8.61/1.90 (axiom_0) % 8.61/1.93 ! [v0: $i] : ! [v1: int] : (v1 = 0 | ~ (cowlThing(v0) = v1) | ~ $i(v0)) & % 8.61/1.93 ! [v0: $i] : ( ~ (cowlNothing(v0) = 0) | ~ $i(v0)) % 8.61/1.93 % 8.61/1.93 (axiom_1) % 8.61/1.93 ! [v0: $i] : ! [v1: int] : (v1 = 0 | ~ (xsd_string(v0) = v1) | ~ $i(v0) | % 8.61/1.93 xsd_integer(v0) = 0) & ! [v0: $i] : ( ~ (xsd_string(v0) = 0) | ~ $i(v0) | % 8.61/1.93 ? [v1: int] : ( ~ (v1 = 0) & xsd_integer(v0) = v1)) % 8.61/1.93 % 8.61/1.93 (axiom_12) % 8.61/1.93 ! [v0: $i] : ! [v1: int] : (v1 = 0 | ~ (cTEST(v0) = v1) | ~ $i(v0) | ? % 8.61/1.93 [v2: any] : ? [v3: any] : (cC8xcomp(v0) = v2 & cC12(v0) = v3 & ( ~ (v3 = 0) % 8.61/1.93 | ~ (v2 = 0)))) & ! [v0: $i] : ( ~ (cTEST(v0) = 0) | ~ $i(v0) | % 8.61/1.93 (cC8xcomp(v0) = 0 & cC12(v0) = 0)) % 8.61/1.93 % 8.61/1.93 (axiom_13) % 8.61/1.93 cTEST(iV21080) = 0 & $i(iV21080) % 8.61/1.93 % 8.61/1.93 (axiom_15) % 8.61/1.93 cowlThing(iV21080) = 0 & $i(iV21080) % 8.61/1.93 % 8.61/1.93 (axiom_18) % 8.61/1.93 cC4(iV21081) = 0 & $i(iV21081) % 8.61/1.93 % 8.61/1.93 (axiom_2) % 8.61/1.94 ! [v0: $i] : ! [v1: any] : ( ~ (cC4(v0) = v1) | ~ $i(v0) | ? [v2: any] : % 8.61/1.94 ? [v3: any] : (cC10(v0) = v2 & cC2(v0) = v3 & ( ~ (v2 = 0) | (v3 = 0 & v1 = % 8.61/1.94 0)))) & ! [v0: $i] : ( ~ (cC4(v0) = 0) | ~ $i(v0) | ? [v1: any] : % 8.61/1.94 ? [v2: any] : (cC10(v0) = v2 & cC2(v0) = v1 & ( ~ (v1 = 0) | v2 = 0))) % 8.61/1.94 % 8.61/1.94 (axiom_20) % 8.61/1.94 cC2(iV21081) = 0 & $i(iV21081) % 8.61/1.94 % 8.61/1.94 (axiom_21) % 8.61/1.94 cowlThing(iV21081) = 0 & $i(iV21081) % 8.61/1.94 % 8.61/1.94 (the_axiom) % 8.61/1.94 $i(iV21081) & $i(iV21080) & ? [v0: any] : ? [v1: any] : ? [v2: any] : ? % 8.61/1.94 [v3: any] : (cC12(iV21080) = v1 & cC10(iV21081) = v2 & cowlThing(iV21081) = v3 % 8.61/1.94 & cowlThing(iV21080) = v0 & ( ~ (v3 = 0) | ~ (v2 = 0) | ~ (v1 = 0) | ~ % 8.61/1.94 (v0 = 0) | ? [v4: $i] : ? [v5: any] : ? [v6: any] : (xsd_string(v4) = % 8.61/1.94 v5 & xsd_integer(v4) = v6 & $i(v4) & ((v6 = 0 & v5 = 0) | ( ~ (v6 = 0) & % 8.61/1.94 ~ (v5 = 0)))) | ? [v4: $i] : ? [v5: any] : ? [v6: any] : % 8.61/1.94 (cowlNothing(v4) = v6 & cowlThing(v4) = v5 & $i(v4) & ( ~ (v5 = 0) | v6 = % 8.61/1.94 0)))) % 8.61/1.94 % 8.61/1.94 (function-axioms) % 8.61/1.95 ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : ! % 8.61/1.95 [v3: $i] : (v1 = v0 | ~ (ra_Px2(v3, v2) = v1) | ~ (ra_Px2(v3, v2) = v0)) & % 8.61/1.95 ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : ! [v3: % 8.61/1.95 $i] : (v1 = v0 | ~ (ra_Px4(v3, v2) = v1) | ~ (ra_Px4(v3, v2) = v0)) & ! % 8.61/1.95 [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : ! [v3: % 8.61/1.95 $i] : (v1 = v0 | ~ (ra_Px1(v3, v2) = v1) | ~ (ra_Px1(v3, v2) = v0)) & ! % 8.61/1.95 [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : ! [v3: % 8.61/1.95 $i] : (v1 = v0 | ~ (rR1(v3, v2) = v1) | ~ (rR1(v3, v2) = v0)) & ! [v0: % 8.61/1.95 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 | % 8.61/1.95 ~ (cTEST(v2) = v1) | ~ (cTEST(v2) = v0)) & ! [v0: MultipleValueBool] : ! % 8.61/1.95 [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~ (cC8xcomp(v2) = v1) | ~ % 8.61/1.95 (cC8xcomp(v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1: % 8.61/1.95 MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~ (cC8(v2) = v1) | ~ % 8.61/1.95 (cC8(v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : % 8.61/1.95 ! [v2: $i] : (v1 = v0 | ~ (cC6xcomp(v2) = v1) | ~ (cC6xcomp(v2) = v0)) & ! % 8.61/1.95 [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 % 8.61/1.95 | ~ (cC6(v2) = v1) | ~ (cC6(v2) = v0)) & ! [v0: MultipleValueBool] : ! % 8.61/1.95 [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~ (cC2xcomp(v2) = v1) | ~ % 8.61/1.95 (cC2xcomp(v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1: % 8.61/1.95 MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~ (cC12(v2) = v1) | ~ % 8.61/1.95 (cC12(v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : % 8.61/1.95 ! [v2: $i] : (v1 = v0 | ~ (cC4(v2) = v1) | ~ (cC4(v2) = v0)) & ! [v0: % 8.61/1.95 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 | % 8.61/1.95 ~ (cC10(v2) = v1) | ~ (cC10(v2) = v0)) & ! [v0: MultipleValueBool] : ! % 8.61/1.95 [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~ (cC2(v2) = v1) | ~ % 8.61/1.95 (cC2(v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : % 8.61/1.95 ! [v2: $i] : (v1 = v0 | ~ (xsd_string(v2) = v1) | ~ (xsd_string(v2) = v0)) & % 8.61/1.95 ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : (v1 = % 8.61/1.95 v0 | ~ (xsd_integer(v2) = v1) | ~ (xsd_integer(v2) = v0)) & ! [v0: % 8.61/1.95 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 | % 8.61/1.95 ~ (cowlNothing(v2) = v1) | ~ (cowlNothing(v2) = v0)) & ! [v0: % 8.61/1.95 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 | % 8.61/1.95 ~ (cowlThing(v2) = v1) | ~ (cowlThing(v2) = v0)) % 8.61/1.95 % 8.61/1.95 Further assumptions not needed in the proof: % 8.61/1.95 -------------------------------------------- % 8.61/1.95 axiom_10, axiom_11, axiom_14, axiom_16, axiom_17, axiom_19, axiom_3, axiom_4, % 8.61/1.95 axiom_5, axiom_6, axiom_7, axiom_8, axiom_9 % 8.61/1.95 % 8.61/1.95 Those formulas are unsatisfiable: % 8.61/1.95 --------------------------------- % 8.61/1.95 % 8.61/1.95 Begin of proof % 8.61/1.95 | % 8.61/1.95 | ALPHA: (axiom_0) implies: % 8.61/1.96 | (1) ! [v0: $i] : ( ~ (cowlNothing(v0) = 0) | ~ $i(v0)) % 8.61/1.96 | (2) ! [v0: $i] : ! [v1: int] : (v1 = 0 | ~ (cowlThing(v0) = v1) | ~ % 8.61/1.96 | $i(v0)) % 8.61/1.96 | % 8.61/1.96 | ALPHA: (axiom_1) implies: % 8.61/1.96 | (3) ! [v0: $i] : ( ~ (xsd_string(v0) = 0) | ~ $i(v0) | ? [v1: int] : ( ~ % 8.61/1.96 | (v1 = 0) & xsd_integer(v0) = v1)) % 8.61/1.96 | (4) ! [v0: $i] : ! [v1: int] : (v1 = 0 | ~ (xsd_string(v0) = v1) | ~ % 8.61/1.96 | $i(v0) | xsd_integer(v0) = 0) % 8.61/1.96 | % 8.61/1.96 | ALPHA: (axiom_2) implies: % 8.61/1.96 | (5) ! [v0: $i] : ( ~ (cC4(v0) = 0) | ~ $i(v0) | ? [v1: any] : ? [v2: % 8.61/1.96 | any] : (cC10(v0) = v2 & cC2(v0) = v1 & ( ~ (v1 = 0) | v2 = 0))) % 8.61/1.96 | % 8.61/1.96 | ALPHA: (axiom_12) implies: % 8.61/1.96 | (6) ! [v0: $i] : ( ~ (cTEST(v0) = 0) | ~ $i(v0) | (cC8xcomp(v0) = 0 & % 8.61/1.96 | cC12(v0) = 0)) % 8.61/1.96 | % 8.61/1.96 | ALPHA: (axiom_13) implies: % 8.61/1.96 | (7) cTEST(iV21080) = 0 % 8.61/1.96 | % 8.61/1.96 | ALPHA: (axiom_15) implies: % 8.61/1.96 | (8) cowlThing(iV21080) = 0 % 8.61/1.96 | % 8.61/1.96 | ALPHA: (axiom_18) implies: % 8.61/1.96 | (9) cC4(iV21081) = 0 % 8.61/1.96 | % 8.61/1.96 | ALPHA: (axiom_20) implies: % 8.61/1.96 | (10) cC2(iV21081) = 0 % 8.61/1.96 | % 8.61/1.96 | ALPHA: (axiom_21) implies: % 8.61/1.96 | (11) cowlThing(iV21081) = 0 % 8.61/1.96 | % 8.61/1.96 | ALPHA: (the_axiom) implies: % 8.61/1.96 | (12) $i(iV21080) % 8.61/1.96 | (13) $i(iV21081) % 8.61/1.96 | (14) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? [v3: any] : % 8.61/1.96 | (cC12(iV21080) = v1 & cC10(iV21081) = v2 & cowlThing(iV21081) = v3 & % 8.61/1.96 | cowlThing(iV21080) = v0 & ( ~ (v3 = 0) | ~ (v2 = 0) | ~ (v1 = 0) | % 8.61/1.96 | ~ (v0 = 0) | ? [v4: $i] : ? [v5: any] : ? [v6: any] : % 8.61/1.96 | (xsd_string(v4) = v5 & xsd_integer(v4) = v6 & $i(v4) & ((v6 = 0 & % 8.61/1.96 | v5 = 0) | ( ~ (v6 = 0) & ~ (v5 = 0)))) | ? [v4: $i] : ? % 8.61/1.96 | [v5: any] : ? [v6: any] : (cowlNothing(v4) = v6 & cowlThing(v4) = % 8.61/1.96 | v5 & $i(v4) & ( ~ (v5 = 0) | v6 = 0)))) % 8.61/1.96 | % 8.61/1.96 | ALPHA: (function-axioms) implies: % 8.61/1.97 | (15) ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] % 8.61/1.97 | : (v1 = v0 | ~ (cowlThing(v2) = v1) | ~ (cowlThing(v2) = v0)) % 8.61/1.97 | (16) ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] % 8.61/1.97 | : (v1 = v0 | ~ (xsd_integer(v2) = v1) | ~ (xsd_integer(v2) = v0)) % 8.61/1.97 | (17) ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] % 8.61/1.97 | : (v1 = v0 | ~ (cC2(v2) = v1) | ~ (cC2(v2) = v0)) % 8.61/1.97 | (18) ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] % 8.61/1.97 | : (v1 = v0 | ~ (cC10(v2) = v1) | ~ (cC10(v2) = v0)) % 8.61/1.97 | (19) ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] % 8.61/1.97 | : (v1 = v0 | ~ (cC12(v2) = v1) | ~ (cC12(v2) = v0)) % 8.61/1.97 | % 8.61/1.97 | DELTA: instantiating (14) with fresh symbols all_18_0, all_18_1, all_18_2, % 8.61/1.97 | all_18_3 gives: % 8.61/1.97 | (20) cC12(iV21080) = all_18_2 & cC10(iV21081) = all_18_1 & % 8.61/1.97 | cowlThing(iV21081) = all_18_0 & cowlThing(iV21080) = all_18_3 & ( ~ % 8.61/1.97 | (all_18_0 = 0) | ~ (all_18_1 = 0) | ~ (all_18_2 = 0) | ~ % 8.61/1.97 | (all_18_3 = 0) | ? [v0: $i] : ? [v1: any] : ? [v2: any] : % 8.61/1.97 | (xsd_string(v0) = v1 & xsd_integer(v0) = v2 & $i(v0) & ((v2 = 0 & v1 % 8.61/1.97 | = 0) | ( ~ (v2 = 0) & ~ (v1 = 0)))) | ? [v0: $i] : ? [v1: % 8.61/1.97 | any] : ? [v2: any] : (cowlNothing(v0) = v2 & cowlThing(v0) = v1 & % 8.61/1.97 | $i(v0) & ( ~ (v1 = 0) | v2 = 0))) % 8.61/1.97 | % 8.61/1.97 | ALPHA: (20) implies: % 8.61/1.97 | (21) cowlThing(iV21080) = all_18_3 % 8.61/1.97 | (22) cowlThing(iV21081) = all_18_0 % 8.61/1.97 | (23) cC10(iV21081) = all_18_1 % 8.61/1.97 | (24) cC12(iV21080) = all_18_2 % 8.61/1.97 | (25) ~ (all_18_0 = 0) | ~ (all_18_1 = 0) | ~ (all_18_2 = 0) | ~ % 8.61/1.97 | (all_18_3 = 0) | ? [v0: $i] : ? [v1: any] : ? [v2: any] : % 8.61/1.97 | (xsd_string(v0) = v1 & xsd_integer(v0) = v2 & $i(v0) & ((v2 = 0 & v1 = % 8.61/1.97 | 0) | ( ~ (v2 = 0) & ~ (v1 = 0)))) | ? [v0: $i] : ? [v1: any] % 8.61/1.97 | : ? [v2: any] : (cowlNothing(v0) = v2 & cowlThing(v0) = v1 & $i(v0) & % 8.61/1.97 | ( ~ (v1 = 0) | v2 = 0)) % 8.61/1.97 | % 8.61/1.98 | GROUND_INST: instantiating (15) with 0, all_18_3, iV21080, simplifying with % 8.61/1.98 | (8), (21) gives: % 8.61/1.98 | (26) all_18_3 = 0 % 8.61/1.98 | % 8.61/1.98 | GROUND_INST: instantiating (15) with 0, all_18_0, iV21081, simplifying with % 8.61/1.98 | (11), (22) gives: % 8.61/1.98 | (27) all_18_0 = 0 % 8.61/1.98 | % 8.61/1.98 | GROUND_INST: instantiating (5) with iV21081, simplifying with (9), (13) gives: % 8.61/1.98 | (28) ? [v0: any] : ? [v1: any] : (cC10(iV21081) = v1 & cC2(iV21081) = v0 % 8.61/1.98 | & ( ~ (v0 = 0) | v1 = 0)) % 8.61/1.98 | % 8.61/1.98 | GROUND_INST: instantiating (6) with iV21080, simplifying with (7), (12) gives: % 8.61/1.98 | (29) cC8xcomp(iV21080) = 0 & cC12(iV21080) = 0 % 8.61/1.98 | % 8.61/1.98 | ALPHA: (29) implies: % 8.61/1.98 | (30) cC12(iV21080) = 0 % 8.61/1.98 | % 8.61/1.98 | DELTA: instantiating (28) with fresh symbols all_34_0, all_34_1 gives: % 8.61/1.98 | (31) cC10(iV21081) = all_34_0 & cC2(iV21081) = all_34_1 & ( ~ (all_34_1 = % 8.61/1.98 | 0) | all_34_0 = 0) % 8.61/1.98 | % 8.61/1.98 | ALPHA: (31) implies: % 8.61/1.98 | (32) cC2(iV21081) = all_34_1 % 8.61/1.98 | (33) cC10(iV21081) = all_34_0 % 8.61/1.98 | (34) ~ (all_34_1 = 0) | all_34_0 = 0 % 8.61/1.98 | % 8.61/1.98 | GROUND_INST: instantiating (17) with 0, all_34_1, iV21081, simplifying with % 8.61/1.98 | (10), (32) gives: % 8.61/1.98 | (35) all_34_1 = 0 % 8.61/1.98 | % 8.61/1.98 | GROUND_INST: instantiating (18) with all_18_1, all_34_0, iV21081, simplifying % 8.61/1.98 | with (23), (33) gives: % 8.61/1.98 | (36) all_34_0 = all_18_1 % 8.61/1.98 | % 8.61/1.98 | GROUND_INST: instantiating (19) with all_18_2, 0, iV21080, simplifying with % 8.61/1.98 | (24), (30) gives: % 8.61/1.98 | (37) all_18_2 = 0 % 8.61/1.98 | % 8.61/1.98 | BETA: splitting (34) gives: % 8.61/1.98 | % 8.61/1.98 | Case 1: % 8.61/1.98 | | % 8.61/1.98 | | (38) ~ (all_34_1 = 0) % 8.61/1.98 | | % 8.61/1.98 | | REDUCE: (35), (38) imply: % 8.61/1.98 | | (39) $false % 8.61/1.98 | | % 8.61/1.98 | | CLOSE: (39) is inconsistent. % 8.61/1.98 | | % 8.61/1.98 | Case 2: % 8.61/1.98 | | % 8.61/1.98 | | (40) all_34_0 = 0 % 8.61/1.98 | | % 8.61/1.98 | | COMBINE_EQS: (36), (40) imply: % 8.61/1.98 | | (41) all_18_1 = 0 % 8.61/1.98 | | % 8.61/1.98 | | BETA: splitting (25) gives: % 8.61/1.98 | | % 8.61/1.98 | | Case 1: % 8.61/1.98 | | | % 8.61/1.98 | | | (42) ~ (all_18_0 = 0) % 8.61/1.98 | | | % 8.61/1.98 | | | REDUCE: (27), (42) imply: % 8.61/1.98 | | | (43) $false % 8.61/1.98 | | | % 8.61/1.98 | | | CLOSE: (43) is inconsistent. % 8.61/1.98 | | | % 8.61/1.98 | | Case 2: % 8.61/1.98 | | | % 8.61/1.99 | | | (44) ~ (all_18_1 = 0) | ~ (all_18_2 = 0) | ~ (all_18_3 = 0) | ? % 8.61/1.99 | | | [v0: $i] : ? [v1: any] : ? [v2: any] : (xsd_string(v0) = v1 & % 8.61/1.99 | | | xsd_integer(v0) = v2 & $i(v0) & ((v2 = 0 & v1 = 0) | ( ~ (v2 = % 8.61/1.99 | | | 0) & ~ (v1 = 0)))) | ? [v0: $i] : ? [v1: any] : ? [v2: % 8.61/1.99 | | | any] : (cowlNothing(v0) = v2 & cowlThing(v0) = v1 & $i(v0) & ( ~ % 8.61/1.99 | | | (v1 = 0) | v2 = 0)) % 8.61/1.99 | | | % 8.61/1.99 | | | BETA: splitting (44) gives: % 8.61/1.99 | | | % 8.61/1.99 | | | Case 1: % 8.61/1.99 | | | | % 8.61/1.99 | | | | (45) ~ (all_18_1 = 0) % 8.61/1.99 | | | | % 8.61/1.99 | | | | REDUCE: (41), (45) imply: % 8.61/1.99 | | | | (46) $false % 8.61/1.99 | | | | % 8.61/1.99 | | | | CLOSE: (46) is inconsistent. % 8.61/1.99 | | | | % 8.61/1.99 | | | Case 2: % 8.61/1.99 | | | | % 8.61/1.99 | | | | (47) ~ (all_18_2 = 0) | ~ (all_18_3 = 0) | ? [v0: $i] : ? [v1: % 8.61/1.99 | | | | any] : ? [v2: any] : (xsd_string(v0) = v1 & xsd_integer(v0) = % 8.61/1.99 | | | | v2 & $i(v0) & ((v2 = 0 & v1 = 0) | ( ~ (v2 = 0) & ~ (v1 = % 8.61/1.99 | | | | 0)))) | ? [v0: $i] : ? [v1: any] : ? [v2: any] : % 8.61/1.99 | | | | (cowlNothing(v0) = v2 & cowlThing(v0) = v1 & $i(v0) & ( ~ (v1 = % 8.61/1.99 | | | | 0) | v2 = 0)) % 8.61/1.99 | | | | % 8.61/1.99 | | | | BETA: splitting (47) gives: % 8.61/1.99 | | | | % 8.61/1.99 | | | | Case 1: % 8.61/1.99 | | | | | % 8.61/1.99 | | | | | (48) ~ (all_18_2 = 0) % 8.61/1.99 | | | | | % 8.61/1.99 | | | | | REDUCE: (37), (48) imply: % 8.61/1.99 | | | | | (49) $false % 8.61/1.99 | | | | | % 8.61/1.99 | | | | | CLOSE: (49) is inconsistent. % 8.61/1.99 | | | | | % 8.61/1.99 | | | | Case 2: % 8.61/1.99 | | | | | % 8.61/1.99 | | | | | (50) ~ (all_18_3 = 0) | ? [v0: $i] : ? [v1: any] : ? [v2: any] % 8.61/1.99 | | | | | : (xsd_string(v0) = v1 & xsd_integer(v0) = v2 & $i(v0) & ((v2 % 8.61/1.99 | | | | | = 0 & v1 = 0) | ( ~ (v2 = 0) & ~ (v1 = 0)))) | ? [v0: % 8.61/1.99 | | | | | $i] : ? [v1: any] : ? [v2: any] : (cowlNothing(v0) = v2 & % 8.61/1.99 | | | | | cowlThing(v0) = v1 & $i(v0) & ( ~ (v1 = 0) | v2 = 0)) % 8.61/1.99 | | | | | % 8.61/1.99 | | | | | BETA: splitting (50) gives: % 8.61/1.99 | | | | | % 8.61/1.99 | | | | | Case 1: % 8.61/1.99 | | | | | | % 8.61/1.99 | | | | | | (51) ~ (all_18_3 = 0) % 8.61/1.99 | | | | | | % 8.61/1.99 | | | | | | REDUCE: (26), (51) imply: % 8.61/1.99 | | | | | | (52) $false % 8.61/1.99 | | | | | | % 8.61/1.99 | | | | | | CLOSE: (52) is inconsistent. % 8.61/1.99 | | | | | | % 8.61/1.99 | | | | | Case 2: % 8.61/1.99 | | | | | | % 8.61/1.99 | | | | | | (53) ? [v0: $i] : ? [v1: any] : ? [v2: any] : (xsd_string(v0) % 8.61/1.99 | | | | | | = v1 & xsd_integer(v0) = v2 & $i(v0) & ((v2 = 0 & v1 = 0) % 8.61/1.99 | | | | | | | ( ~ (v2 = 0) & ~ (v1 = 0)))) | ? [v0: $i] : ? [v1: % 8.61/1.99 | | | | | | any] : ? [v2: any] : (cowlNothing(v0) = v2 & % 8.61/1.99 | | | | | | cowlThing(v0) = v1 & $i(v0) & ( ~ (v1 = 0) | v2 = 0)) % 8.61/1.99 | | | | | | % 8.61/1.99 | | | | | | BETA: splitting (53) gives: % 8.61/1.99 | | | | | | % 8.61/1.99 | | | | | | Case 1: % 8.61/1.99 | | | | | | | % 8.61/1.99 | | | | | | | (54) ? [v0: $i] : ? [v1: any] : ? [v2: any] : % 8.61/1.99 | | | | | | | (xsd_string(v0) = v1 & xsd_integer(v0) = v2 & $i(v0) & % 8.61/1.99 | | | | | | | ((v2 = 0 & v1 = 0) | ( ~ (v2 = 0) & ~ (v1 = 0)))) % 8.61/1.99 | | | | | | | % 8.61/1.99 | | | | | | | DELTA: instantiating (54) with fresh symbols all_98_0, all_98_1, % 8.61/1.99 | | | | | | | all_98_2 gives: % 8.61/1.99 | | | | | | | (55) xsd_string(all_98_2) = all_98_1 & xsd_integer(all_98_2) = % 8.61/1.99 | | | | | | | all_98_0 & $i(all_98_2) & ((all_98_0 = 0 & all_98_1 = 0) | % 8.61/1.99 | | | | | | | ( ~ (all_98_0 = 0) & ~ (all_98_1 = 0))) % 8.61/1.99 | | | | | | | % 8.61/1.99 | | | | | | | ALPHA: (55) implies: % 8.61/1.99 | | | | | | | (56) $i(all_98_2) % 8.61/1.99 | | | | | | | (57) xsd_integer(all_98_2) = all_98_0 % 8.61/2.00 | | | | | | | (58) xsd_string(all_98_2) = all_98_1 % 8.61/2.00 | | | | | | | (59) (all_98_0 = 0 & all_98_1 = 0) | ( ~ (all_98_0 = 0) & ~ % 8.61/2.00 | | | | | | | (all_98_1 = 0)) % 8.61/2.00 | | | | | | | % 8.61/2.00 | | | | | | | GROUND_INST: instantiating (4) with all_98_2, all_98_1, % 8.61/2.00 | | | | | | | simplifying with (56), (58) gives: % 8.61/2.00 | | | | | | | (60) all_98_1 = 0 | xsd_integer(all_98_2) = 0 % 8.61/2.00 | | | | | | | % 8.61/2.00 | | | | | | | BETA: splitting (59) gives: % 8.61/2.00 | | | | | | | % 8.61/2.00 | | | | | | | Case 1: % 8.61/2.00 | | | | | | | | % 8.61/2.00 | | | | | | | | (61) all_98_0 = 0 & all_98_1 = 0 % 8.61/2.00 | | | | | | | | % 8.61/2.00 | | | | | | | | ALPHA: (61) implies: % 8.61/2.00 | | | | | | | | (62) all_98_1 = 0 % 8.61/2.00 | | | | | | | | (63) all_98_0 = 0 % 8.61/2.00 | | | | | | | | % 8.61/2.00 | | | | | | | | REDUCE: (58), (62) imply: % 8.61/2.00 | | | | | | | | (64) xsd_string(all_98_2) = 0 % 8.61/2.00 | | | | | | | | % 8.61/2.00 | | | | | | | | REDUCE: (57), (63) imply: % 8.61/2.00 | | | | | | | | (65) xsd_integer(all_98_2) = 0 % 8.61/2.00 | | | | | | | | % 8.61/2.00 | | | | | | | | GROUND_INST: instantiating (3) with all_98_2, simplifying with % 8.61/2.00 | | | | | | | | (56), (64) gives: % 8.61/2.00 | | | | | | | | (66) ? [v0: int] : ( ~ (v0 = 0) & xsd_integer(all_98_2) = % 8.61/2.00 | | | | | | | | v0) % 8.61/2.00 | | | | | | | | % 8.61/2.00 | | | | | | | | DELTA: instantiating (66) with fresh symbol all_112_0 gives: % 8.61/2.00 | | | | | | | | (67) ~ (all_112_0 = 0) & xsd_integer(all_98_2) = all_112_0 % 8.61/2.00 | | | | | | | | % 8.61/2.00 | | | | | | | | ALPHA: (67) implies: % 8.61/2.00 | | | | | | | | (68) ~ (all_112_0 = 0) % 8.61/2.00 | | | | | | | | (69) xsd_integer(all_98_2) = all_112_0 % 8.61/2.00 | | | | | | | | % 8.61/2.00 | | | | | | | | GROUND_INST: instantiating (16) with 0, all_112_0, all_98_2, % 8.61/2.00 | | | | | | | | simplifying with (65), (69) gives: % 8.61/2.00 | | | | | | | | (70) all_112_0 = 0 % 8.61/2.00 | | | | | | | | % 8.61/2.00 | | | | | | | | REDUCE: (68), (70) imply: % 8.61/2.00 | | | | | | | | (71) $false % 8.61/2.00 | | | | | | | | % 8.61/2.00 | | | | | | | | CLOSE: (71) is inconsistent. % 8.61/2.00 | | | | | | | | % 8.61/2.00 | | | | | | | Case 2: % 8.61/2.00 | | | | | | | | % 8.61/2.00 | | | | | | | | (72) ~ (all_98_0 = 0) & ~ (all_98_1 = 0) % 8.61/2.00 | | | | | | | | % 8.61/2.00 | | | | | | | | ALPHA: (72) implies: % 8.61/2.00 | | | | | | | | (73) ~ (all_98_1 = 0) % 8.61/2.00 | | | | | | | | (74) ~ (all_98_0 = 0) % 8.61/2.00 | | | | | | | | % 8.61/2.00 | | | | | | | | BETA: splitting (60) gives: % 8.61/2.00 | | | | | | | | % 8.61/2.00 | | | | | | | | Case 1: % 8.61/2.00 | | | | | | | | | % 8.61/2.00 | | | | | | | | | (75) xsd_integer(all_98_2) = 0 % 8.61/2.00 | | | | | | | | | % 9.12/2.01 | | | | | | | | | GROUND_INST: instantiating (16) with all_98_0, 0, all_98_2, % 9.12/2.01 | | | | | | | | | simplifying with (57), (75) gives: % 9.12/2.01 | | | | | | | | | (76) all_98_0 = 0 % 9.12/2.01 | | | | | | | | | % 9.12/2.01 | | | | | | | | | REDUCE: (74), (76) imply: % 9.12/2.01 | | | | | | | | | (77) $false % 9.12/2.01 | | | | | | | | | % 9.12/2.01 | | | | | | | | | CLOSE: (77) is inconsistent. % 9.12/2.01 | | | | | | | | | % 9.12/2.01 | | | | | | | | Case 2: % 9.12/2.01 | | | | | | | | | % 9.12/2.01 | | | | | | | | | (78) all_98_1 = 0 % 9.12/2.01 | | | | | | | | | % 9.12/2.01 | | | | | | | | | REDUCE: (73), (78) imply: % 9.12/2.01 | | | | | | | | | (79) $false % 9.12/2.01 | | | | | | | | | % 9.12/2.01 | | | | | | | | | CLOSE: (79) is inconsistent. % 9.12/2.01 | | | | | | | | | % 9.12/2.01 | | | | | | | | End of split % 9.12/2.01 | | | | | | | | % 9.12/2.01 | | | | | | | End of split % 9.12/2.01 | | | | | | | % 9.12/2.01 | | | | | | Case 2: % 9.12/2.01 | | | | | | | % 9.12/2.02 | | | | | | | (80) ? [v0: $i] : ? [v1: any] : ? [v2: any] : % 9.12/2.02 | | | | | | | (cowlNothing(v0) = v2 & cowlThing(v0) = v1 & $i(v0) & ( ~ % 9.12/2.02 | | | | | | | (v1 = 0) | v2 = 0)) % 9.12/2.02 | | | | | | | % 9.12/2.02 | | | | | | | DELTA: instantiating (80) with fresh symbols all_98_0, all_98_1, % 9.12/2.02 | | | | | | | all_98_2 gives: % 9.12/2.02 | | | | | | | (81) cowlNothing(all_98_2) = all_98_0 & cowlThing(all_98_2) = % 9.12/2.02 | | | | | | | all_98_1 & $i(all_98_2) & ( ~ (all_98_1 = 0) | all_98_0 = % 9.12/2.02 | | | | | | | 0) % 9.12/2.02 | | | | | | | % 9.12/2.02 | | | | | | | ALPHA: (81) implies: % 9.12/2.02 | | | | | | | (82) $i(all_98_2) % 9.12/2.02 | | | | | | | (83) cowlThing(all_98_2) = all_98_1 % 9.12/2.02 | | | | | | | (84) cowlNothing(all_98_2) = all_98_0 % 9.12/2.02 | | | | | | | (85) ~ (all_98_1 = 0) | all_98_0 = 0 % 9.12/2.02 | | | | | | | % 9.12/2.02 | | | | | | | GROUND_INST: instantiating (2) with all_98_2, all_98_1, % 9.12/2.02 | | | | | | | simplifying with (82), (83) gives: % 9.12/2.02 | | | | | | | (86) all_98_1 = 0 % 9.12/2.02 | | | | | | | % 9.12/2.02 | | | | | | | BETA: splitting (85) gives: % 9.12/2.02 | | | | | | | % 9.12/2.02 | | | | | | | Case 1: % 9.12/2.02 | | | | | | | | % 9.12/2.02 | | | | | | | | (87) ~ (all_98_1 = 0) % 9.12/2.02 | | | | | | | | % 9.12/2.02 | | | | | | | | REDUCE: (86), (87) imply: % 9.12/2.02 | | | | | | | | (88) $false % 9.12/2.02 | | | | | | | | % 9.12/2.02 | | | | | | | | CLOSE: (88) is inconsistent. % 9.12/2.02 | | | | | | | | % 9.12/2.02 | | | | | | | Case 2: % 9.12/2.02 | | | | | | | | % 9.12/2.02 | | | | | | | | (89) all_98_0 = 0 % 9.12/2.02 | | | | | | | | % 9.12/2.02 | | | | | | | | REDUCE: (84), (89) imply: % 9.12/2.02 | | | | | | | | (90) cowlNothing(all_98_2) = 0 % 9.12/2.02 | | | | | | | | % 9.12/2.02 | | | | | | | | GROUND_INST: instantiating (1) with all_98_2, simplifying with % 9.12/2.02 | | | | | | | | (82), (90) gives: % 9.12/2.02 | | | | | | | | (91) $false % 9.12/2.02 | | | | | | | | % 9.12/2.02 | | | | | | | | CLOSE: (91) is inconsistent. % 9.12/2.02 | | | | | | | | % 9.12/2.02 | | | | | | | End of split % 9.12/2.02 | | | | | | | % 9.12/2.02 | | | | | | End of split % 9.12/2.02 | | | | | | % 9.12/2.02 | | | | | End of split % 9.12/2.02 | | | | | % 9.12/2.02 | | | | End of split % 9.12/2.02 | | | | % 9.12/2.02 | | | End of split % 9.12/2.02 | | | % 9.12/2.02 | | End of split % 9.12/2.02 | | % 9.12/2.02 | End of split % 9.12/2.02 | % 9.12/2.02 End of proof % 9.12/2.02 % SZS output end Proof for theBenchmark % 9.12/2.02 % 9.12/2.02 1409ms %------------------------------------------------------------------------------