%------------------------------------------------------------------------------ % File : Princess---230619 % Problem : KRS152+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 05:51:27 EDT 2023 % Result : Theorem 5.92s 1.53s % Output : Proof 7.83s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.12/0.14 % Problem : KRS152+1 : TPTP v8.1.2. Released v3.1.0. % 0.12/0.14 % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s % 0.14/0.35 % Computer : n011.cluster.edu % 0.14/0.35 % Model : x86_64 x86_64 % 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.14/0.35 % Memory : 8042.1875MB % 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.14/0.35 % CPULimit : 300 % 0.14/0.35 % WCLimit : 300 % 0.14/0.35 % DateTime : Mon Aug 28 01:24:40 EDT 2023 % 0.14/0.35 % CPUTime : % 0.21/0.60 ________ _____ % 0.21/0.60 ___ __ \_________(_)________________________________ % 0.21/0.60 __ /_/ /_ ___/_ /__ __ \ ___/ _ \_ ___/_ ___/ % 0.21/0.60 _ ____/_ / _ / _ / / / /__ / __/(__ )_(__ ) % 0.21/0.60 /_/ /_/ /_/ /_/ /_/\___/ \___//____/ /____/ % 0.21/0.60 % 0.21/0.60 A Theorem Prover for First-Order Logic modulo Linear Integer Arithmetic % 0.21/0.60 (2023-06-19) % 0.21/0.60 % 0.21/0.60 (c) Philipp Rümmer, 2009-2023 % 0.21/0.60 Contributors: Peter Backeman, Peter Baumgartner, Angelo Brillout, Zafer Esen, % 0.21/0.60 Amanda Stjerna. % 0.21/0.60 Free software under BSD-3-Clause. % 0.21/0.60 % 0.21/0.60 For more information, visit http://www.philipp.ruemmer.org/princess.shtml % 0.21/0.60 % 0.21/0.60 Loading /export/starexec/sandbox2/benchmark/theBenchmark.p ... % 0.21/0.61 Running up to 7 provers in parallel. % 0.21/0.63 Prover 0: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893 % 0.21/0.63 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1571432423 % 0.21/0.63 Prover 2: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1065072994 % 0.21/0.63 Prover 3: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996 % 0.21/0.63 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696 % 0.21/0.63 Prover 5: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288 % 0.21/0.63 Prover 6: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365 % 2.21/1.02 Prover 1: Preprocessing ... % 2.21/1.02 Prover 4: Preprocessing ... % 2.21/1.06 Prover 5: Preprocessing ... % 2.21/1.06 Prover 6: Preprocessing ... % 2.21/1.06 Prover 2: Preprocessing ... % 2.21/1.06 Prover 3: Preprocessing ... % 2.21/1.06 Prover 0: Preprocessing ... % 3.77/1.27 Prover 2: Proving ... % 3.77/1.28 Prover 5: Proving ... % 3.77/1.33 Prover 1: Constructing countermodel ... % 3.77/1.35 Prover 6: Proving ... % 4.56/1.36 Prover 3: Constructing countermodel ... % 4.56/1.41 Prover 4: Constructing countermodel ... % 5.42/1.45 Prover 0: Proving ... % 5.92/1.53 Prover 5: proved (897ms) % 5.92/1.53 % 5.92/1.53 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p % 5.92/1.53 % 5.92/1.53 Prover 0: stopped % 5.92/1.53 Prover 2: stopped % 5.92/1.54 Prover 6: stopped % 5.92/1.54 Prover 7: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470 % 5.92/1.54 Prover 3: stopped % 5.92/1.54 Prover 8: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089 % 5.92/1.54 Prover 10: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=919308125 % 5.92/1.54 Prover 11: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1509710984 % 5.92/1.54 Prover 13: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=1138197443 % 6.23/1.56 Prover 7: Preprocessing ... % 6.23/1.56 Prover 11: Preprocessing ... % 6.23/1.57 Prover 10: Preprocessing ... % 6.23/1.57 Prover 8: Preprocessing ... % 6.23/1.59 Prover 13: Preprocessing ... % 6.23/1.59 Prover 10: Warning: ignoring some quantifiers % 6.23/1.60 Prover 7: Warning: ignoring some quantifiers % 6.23/1.60 Prover 10: Constructing countermodel ... % 6.23/1.61 Prover 7: Constructing countermodel ... % 6.23/1.62 Prover 13: Warning: ignoring some quantifiers % 6.23/1.64 Prover 13: Constructing countermodel ... % 7.20/1.69 Prover 8: Warning: ignoring some quantifiers % 7.20/1.70 Prover 1: Found proof (size 71) % 7.20/1.70 Prover 1: proved (1075ms) % 7.20/1.70 Prover 13: stopped % 7.20/1.70 Prover 4: stopped % 7.20/1.70 Prover 7: stopped % 7.20/1.70 Prover 8: Constructing countermodel ... % 7.20/1.70 Prover 10: stopped % 7.20/1.70 Prover 11: Constructing countermodel ... % 7.20/1.71 Prover 8: stopped % 7.20/1.71 Prover 11: stopped % 7.20/1.71 % 7.20/1.71 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p % 7.20/1.71 % 7.20/1.72 % SZS output start Proof for theBenchmark % 7.20/1.73 Assumptions after simplification: % 7.20/1.73 --------------------------------- % 7.20/1.73 % 7.20/1.73 (axiom_0) % 7.57/1.75 ! [v0: $i] : ! [v1: int] : (v1 = 0 | ~ (cowlThing(v0) = v1) | ~ $i(v0)) & % 7.57/1.75 ! [v0: $i] : ( ~ (cowlNothing(v0) = 0) | ~ $i(v0)) % 7.57/1.75 % 7.57/1.75 (axiom_1) % 7.57/1.76 ! [v0: $i] : ! [v1: int] : (v1 = 0 | ~ (xsd_string(v0) = v1) | ~ $i(v0) | % 7.57/1.76 xsd_integer(v0) = 0) & ! [v0: $i] : ( ~ (xsd_string(v0) = 0) | ~ $i(v0) | % 7.57/1.76 ? [v1: int] : ( ~ (v1 = 0) & xsd_integer(v0) = v1)) % 7.57/1.76 % 7.57/1.76 (axiom_13) % 7.57/1.76 cowlThing(iV21081) = 0 & $i(iV21081) % 7.57/1.76 % 7.57/1.76 (axiom_14) % 7.57/1.76 cC2(iV21081) = 0 & $i(iV21081) % 7.57/1.76 % 7.57/1.76 (axiom_15) % 7.57/1.76 cC4(iV21081) = 0 & $i(iV21081) % 7.57/1.76 % 7.57/1.76 (axiom_2) % 7.57/1.76 ! [v0: $i] : ! [v1: any] : ( ~ (cC4(v0) = v1) | ~ $i(v0) | ? [v2: any] : % 7.57/1.76 ? [v3: any] : (cC10(v0) = v2 & cC2(v0) = v3 & ( ~ (v2 = 0) | (v3 = 0 & v1 = % 7.57/1.76 0)))) & ! [v0: $i] : ( ~ (cC4(v0) = 0) | ~ $i(v0) | ? [v1: any] : % 7.57/1.76 ? [v2: any] : (cC10(v0) = v2 & cC2(v0) = v1 & ( ~ (v1 = 0) | v2 = 0))) % 7.57/1.76 % 7.57/1.76 (axiom_6) % 7.57/1.76 ! [v0: $i] : ! [v1: int] : (v1 = 0 | ~ (cTEST(v0) = v1) | ~ $i(v0) | ? % 7.57/1.76 [v2: any] : ? [v3: any] : (cC8(v0) = v3 & cC12(v0) = v2 & ( ~ (v2 = 0) | v3 % 7.57/1.76 = 0))) & ! [v0: $i] : ( ~ (cTEST(v0) = 0) | ~ $i(v0) | ? [v1: int] : % 7.57/1.76 ( ~ (v1 = 0) & cC8(v0) = v1 & cC12(v0) = 0)) % 7.57/1.76 % 7.57/1.76 (axiom_7) % 7.57/1.76 cTEST(iV21080) = 0 & $i(iV21080) % 7.57/1.76 % 7.57/1.76 (axiom_8) % 7.57/1.76 cowlThing(iV21080) = 0 & $i(iV21080) % 7.57/1.76 % 7.57/1.77 (the_axiom) % 7.57/1.77 $i(iV21081) & $i(iV21080) & ? [v0: any] : ? [v1: any] : ? [v2: any] : ? % 7.57/1.77 [v3: any] : (cC12(iV21080) = v1 & cC10(iV21081) = v2 & cowlThing(iV21081) = v3 % 7.57/1.77 & cowlThing(iV21080) = v0 & ( ~ (v3 = 0) | ~ (v2 = 0) | ~ (v1 = 0) | ~ % 7.57/1.77 (v0 = 0) | ? [v4: $i] : ? [v5: any] : ? [v6: any] : (xsd_string(v4) = % 7.57/1.77 v5 & xsd_integer(v4) = v6 & $i(v4) & ((v6 = 0 & v5 = 0) | ( ~ (v6 = 0) & % 7.57/1.77 ~ (v5 = 0)))) | ? [v4: $i] : ? [v5: any] : ? [v6: any] : % 7.57/1.77 (cowlNothing(v4) = v6 & cowlThing(v4) = v5 & $i(v4) & ( ~ (v5 = 0) | v6 = % 7.57/1.77 0)))) % 7.57/1.77 % 7.57/1.77 (function-axioms) % 7.57/1.78 ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : ! % 7.57/1.78 [v3: $i] : (v1 = v0 | ~ (rR1(v3, v2) = v1) | ~ (rR1(v3, v2) = v0)) & ! [v0: % 7.57/1.78 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 | % 7.57/1.78 ~ (cTEST(v2) = v1) | ~ (cTEST(v2) = v0)) & ! [v0: MultipleValueBool] : ! % 7.57/1.78 [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~ (cC8(v2) = v1) | ~ % 7.57/1.78 (cC8(v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : % 7.57/1.78 ! [v2: $i] : (v1 = v0 | ~ (cC6(v2) = v1) | ~ (cC6(v2) = v0)) & ! [v0: % 7.57/1.78 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 | % 7.57/1.78 ~ (cC12(v2) = v1) | ~ (cC12(v2) = v0)) & ! [v0: MultipleValueBool] : ! % 7.57/1.78 [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~ (cC4(v2) = v1) | ~ % 7.57/1.78 (cC4(v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : % 7.57/1.78 ! [v2: $i] : (v1 = v0 | ~ (cC10(v2) = v1) | ~ (cC10(v2) = v0)) & ! [v0: % 7.57/1.78 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 | % 7.57/1.78 ~ (cC2(v2) = v1) | ~ (cC2(v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1: % 7.57/1.78 MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~ (xsd_string(v2) = v1) | ~ % 7.57/1.78 (xsd_string(v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1: % 7.57/1.78 MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~ (xsd_integer(v2) = v1) | ~ % 7.57/1.78 (xsd_integer(v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1: % 7.57/1.78 MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~ (cowlNothing(v2) = v1) | ~ % 7.57/1.78 (cowlNothing(v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1: % 7.57/1.78 MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~ (cowlThing(v2) = v1) | ~ % 7.57/1.78 (cowlThing(v2) = v0)) % 7.57/1.78 % 7.57/1.78 Further assumptions not needed in the proof: % 7.57/1.78 -------------------------------------------- % 7.57/1.78 axiom_10, axiom_11, axiom_12, axiom_3, axiom_4, axiom_5, axiom_9 % 7.57/1.78 % 7.57/1.78 Those formulas are unsatisfiable: % 7.57/1.78 --------------------------------- % 7.57/1.78 % 7.57/1.78 Begin of proof % 7.57/1.78 | % 7.57/1.78 | ALPHA: (axiom_0) implies: % 7.57/1.78 | (1) ! [v0: $i] : ( ~ (cowlNothing(v0) = 0) | ~ $i(v0)) % 7.57/1.78 | (2) ! [v0: $i] : ! [v1: int] : (v1 = 0 | ~ (cowlThing(v0) = v1) | ~ % 7.57/1.78 | $i(v0)) % 7.57/1.78 | % 7.57/1.78 | ALPHA: (axiom_1) implies: % 7.57/1.78 | (3) ! [v0: $i] : ( ~ (xsd_string(v0) = 0) | ~ $i(v0) | ? [v1: int] : ( ~ % 7.57/1.78 | (v1 = 0) & xsd_integer(v0) = v1)) % 7.57/1.78 | (4) ! [v0: $i] : ! [v1: int] : (v1 = 0 | ~ (xsd_string(v0) = v1) | ~ % 7.57/1.78 | $i(v0) | xsd_integer(v0) = 0) % 7.57/1.78 | % 7.57/1.78 | ALPHA: (axiom_2) implies: % 7.57/1.78 | (5) ! [v0: $i] : ( ~ (cC4(v0) = 0) | ~ $i(v0) | ? [v1: any] : ? [v2: % 7.57/1.78 | any] : (cC10(v0) = v2 & cC2(v0) = v1 & ( ~ (v1 = 0) | v2 = 0))) % 7.57/1.78 | % 7.57/1.78 | ALPHA: (axiom_6) implies: % 7.57/1.78 | (6) ! [v0: $i] : ( ~ (cTEST(v0) = 0) | ~ $i(v0) | ? [v1: int] : ( ~ (v1 % 7.57/1.78 | = 0) & cC8(v0) = v1 & cC12(v0) = 0)) % 7.57/1.78 | % 7.57/1.78 | ALPHA: (axiom_7) implies: % 7.57/1.78 | (7) cTEST(iV21080) = 0 % 7.57/1.78 | % 7.57/1.78 | ALPHA: (axiom_8) implies: % 7.57/1.78 | (8) cowlThing(iV21080) = 0 % 7.57/1.78 | % 7.57/1.78 | ALPHA: (axiom_13) implies: % 7.57/1.78 | (9) cowlThing(iV21081) = 0 % 7.57/1.78 | % 7.57/1.78 | ALPHA: (axiom_14) implies: % 7.57/1.78 | (10) cC2(iV21081) = 0 % 7.57/1.78 | % 7.57/1.78 | ALPHA: (axiom_15) implies: % 7.57/1.79 | (11) cC4(iV21081) = 0 % 7.57/1.79 | % 7.57/1.79 | ALPHA: (the_axiom) implies: % 7.57/1.79 | (12) $i(iV21080) % 7.57/1.79 | (13) $i(iV21081) % 7.57/1.79 | (14) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? [v3: any] : % 7.57/1.79 | (cC12(iV21080) = v1 & cC10(iV21081) = v2 & cowlThing(iV21081) = v3 & % 7.57/1.79 | cowlThing(iV21080) = v0 & ( ~ (v3 = 0) | ~ (v2 = 0) | ~ (v1 = 0) | % 7.57/1.79 | ~ (v0 = 0) | ? [v4: $i] : ? [v5: any] : ? [v6: any] : % 7.57/1.79 | (xsd_string(v4) = v5 & xsd_integer(v4) = v6 & $i(v4) & ((v6 = 0 & % 7.57/1.79 | v5 = 0) | ( ~ (v6 = 0) & ~ (v5 = 0)))) | ? [v4: $i] : ? % 7.57/1.79 | [v5: any] : ? [v6: any] : (cowlNothing(v4) = v6 & cowlThing(v4) = % 7.57/1.79 | v5 & $i(v4) & ( ~ (v5 = 0) | v6 = 0)))) % 7.57/1.79 | % 7.57/1.79 | ALPHA: (function-axioms) implies: % 7.57/1.79 | (15) ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] % 7.57/1.79 | : (v1 = v0 | ~ (cowlThing(v2) = v1) | ~ (cowlThing(v2) = v0)) % 7.57/1.79 | (16) ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] % 7.57/1.79 | : (v1 = v0 | ~ (xsd_integer(v2) = v1) | ~ (xsd_integer(v2) = v0)) % 7.57/1.79 | (17) ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] % 7.57/1.79 | : (v1 = v0 | ~ (cC2(v2) = v1) | ~ (cC2(v2) = v0)) % 7.57/1.79 | (18) ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] % 7.57/1.79 | : (v1 = v0 | ~ (cC10(v2) = v1) | ~ (cC10(v2) = v0)) % 7.57/1.79 | (19) ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] % 7.57/1.79 | : (v1 = v0 | ~ (cC12(v2) = v1) | ~ (cC12(v2) = v0)) % 7.57/1.79 | % 7.57/1.79 | DELTA: instantiating (14) with fresh symbols all_16_0, all_16_1, all_16_2, % 7.57/1.79 | all_16_3 gives: % 7.57/1.79 | (20) cC12(iV21080) = all_16_2 & cC10(iV21081) = all_16_1 & % 7.57/1.79 | cowlThing(iV21081) = all_16_0 & cowlThing(iV21080) = all_16_3 & ( ~ % 7.57/1.79 | (all_16_0 = 0) | ~ (all_16_1 = 0) | ~ (all_16_2 = 0) | ~ % 7.57/1.79 | (all_16_3 = 0) | ? [v0: $i] : ? [v1: any] : ? [v2: any] : % 7.57/1.79 | (xsd_string(v0) = v1 & xsd_integer(v0) = v2 & $i(v0) & ((v2 = 0 & v1 % 7.57/1.79 | = 0) | ( ~ (v2 = 0) & ~ (v1 = 0)))) | ? [v0: $i] : ? [v1: % 7.57/1.79 | any] : ? [v2: any] : (cowlNothing(v0) = v2 & cowlThing(v0) = v1 & % 7.57/1.79 | $i(v0) & ( ~ (v1 = 0) | v2 = 0))) % 7.57/1.79 | % 7.57/1.79 | ALPHA: (20) implies: % 7.57/1.79 | (21) cowlThing(iV21080) = all_16_3 % 7.57/1.80 | (22) cowlThing(iV21081) = all_16_0 % 7.57/1.80 | (23) cC10(iV21081) = all_16_1 % 7.57/1.80 | (24) cC12(iV21080) = all_16_2 % 7.57/1.80 | (25) ~ (all_16_0 = 0) | ~ (all_16_1 = 0) | ~ (all_16_2 = 0) | ~ % 7.57/1.80 | (all_16_3 = 0) | ? [v0: $i] : ? [v1: any] : ? [v2: any] : % 7.57/1.80 | (xsd_string(v0) = v1 & xsd_integer(v0) = v2 & $i(v0) & ((v2 = 0 & v1 = % 7.57/1.80 | 0) | ( ~ (v2 = 0) & ~ (v1 = 0)))) | ? [v0: $i] : ? [v1: any] % 7.57/1.80 | : ? [v2: any] : (cowlNothing(v0) = v2 & cowlThing(v0) = v1 & $i(v0) & % 7.57/1.80 | ( ~ (v1 = 0) | v2 = 0)) % 7.57/1.80 | % 7.57/1.80 | GROUND_INST: instantiating (15) with 0, all_16_3, iV21080, simplifying with % 7.57/1.80 | (8), (21) gives: % 7.57/1.80 | (26) all_16_3 = 0 % 7.57/1.80 | % 7.57/1.80 | GROUND_INST: instantiating (15) with 0, all_16_0, iV21081, simplifying with % 7.57/1.80 | (9), (22) gives: % 7.57/1.80 | (27) all_16_0 = 0 % 7.57/1.80 | % 7.57/1.80 | GROUND_INST: instantiating (5) with iV21081, simplifying with (11), (13) % 7.57/1.80 | gives: % 7.57/1.80 | (28) ? [v0: any] : ? [v1: any] : (cC10(iV21081) = v1 & cC2(iV21081) = v0 % 7.57/1.80 | & ( ~ (v0 = 0) | v1 = 0)) % 7.57/1.80 | % 7.57/1.80 | GROUND_INST: instantiating (6) with iV21080, simplifying with (7), (12) gives: % 7.57/1.80 | (29) ? [v0: int] : ( ~ (v0 = 0) & cC8(iV21080) = v0 & cC12(iV21080) = 0) % 7.57/1.80 | % 7.57/1.80 | DELTA: instantiating (29) with fresh symbol all_27_0 gives: % 7.57/1.80 | (30) ~ (all_27_0 = 0) & cC8(iV21080) = all_27_0 & cC12(iV21080) = 0 % 7.57/1.80 | % 7.57/1.80 | ALPHA: (30) implies: % 7.57/1.80 | (31) cC12(iV21080) = 0 % 7.57/1.80 | % 7.57/1.80 | DELTA: instantiating (28) with fresh symbols all_29_0, all_29_1 gives: % 7.57/1.80 | (32) cC10(iV21081) = all_29_0 & cC2(iV21081) = all_29_1 & ( ~ (all_29_1 = % 7.57/1.80 | 0) | all_29_0 = 0) % 7.57/1.80 | % 7.57/1.80 | ALPHA: (32) implies: % 7.57/1.80 | (33) cC2(iV21081) = all_29_1 % 7.57/1.80 | (34) cC10(iV21081) = all_29_0 % 7.57/1.80 | (35) ~ (all_29_1 = 0) | all_29_0 = 0 % 7.57/1.80 | % 7.57/1.80 | GROUND_INST: instantiating (17) with 0, all_29_1, iV21081, simplifying with % 7.57/1.80 | (10), (33) gives: % 7.57/1.80 | (36) all_29_1 = 0 % 7.57/1.80 | % 7.57/1.80 | GROUND_INST: instantiating (18) with all_16_1, all_29_0, iV21081, simplifying % 7.57/1.80 | with (23), (34) gives: % 7.57/1.80 | (37) all_29_0 = all_16_1 % 7.57/1.80 | % 7.57/1.80 | GROUND_INST: instantiating (19) with all_16_2, 0, iV21080, simplifying with % 7.57/1.80 | (24), (31) gives: % 7.57/1.80 | (38) all_16_2 = 0 % 7.57/1.80 | % 7.57/1.80 | BETA: splitting (35) gives: % 7.57/1.80 | % 7.57/1.80 | Case 1: % 7.57/1.80 | | % 7.57/1.80 | | (39) ~ (all_29_1 = 0) % 7.57/1.80 | | % 7.57/1.80 | | REDUCE: (36), (39) imply: % 7.57/1.80 | | (40) $false % 7.57/1.81 | | % 7.57/1.81 | | CLOSE: (40) is inconsistent. % 7.57/1.81 | | % 7.57/1.81 | Case 2: % 7.57/1.81 | | % 7.83/1.81 | | (41) all_29_0 = 0 % 7.83/1.81 | | % 7.83/1.81 | | COMBINE_EQS: (37), (41) imply: % 7.83/1.81 | | (42) all_16_1 = 0 % 7.83/1.81 | | % 7.83/1.81 | | BETA: splitting (25) gives: % 7.83/1.81 | | % 7.83/1.81 | | Case 1: % 7.83/1.81 | | | % 7.83/1.81 | | | (43) ~ (all_16_0 = 0) % 7.83/1.81 | | | % 7.83/1.81 | | | REDUCE: (27), (43) imply: % 7.83/1.81 | | | (44) $false % 7.83/1.81 | | | % 7.83/1.81 | | | CLOSE: (44) is inconsistent. % 7.83/1.81 | | | % 7.83/1.81 | | Case 2: % 7.83/1.81 | | | % 7.83/1.81 | | | (45) ~ (all_16_1 = 0) | ~ (all_16_2 = 0) | ~ (all_16_3 = 0) | ? % 7.83/1.81 | | | [v0: $i] : ? [v1: any] : ? [v2: any] : (xsd_string(v0) = v1 & % 7.83/1.81 | | | xsd_integer(v0) = v2 & $i(v0) & ((v2 = 0 & v1 = 0) | ( ~ (v2 = % 7.83/1.81 | | | 0) & ~ (v1 = 0)))) | ? [v0: $i] : ? [v1: any] : ? [v2: % 7.83/1.81 | | | any] : (cowlNothing(v0) = v2 & cowlThing(v0) = v1 & $i(v0) & ( ~ % 7.83/1.81 | | | (v1 = 0) | v2 = 0)) % 7.83/1.81 | | | % 7.83/1.81 | | | BETA: splitting (45) gives: % 7.83/1.81 | | | % 7.83/1.81 | | | Case 1: % 7.83/1.81 | | | | % 7.83/1.81 | | | | (46) ~ (all_16_1 = 0) % 7.83/1.81 | | | | % 7.83/1.81 | | | | REDUCE: (42), (46) imply: % 7.83/1.81 | | | | (47) $false % 7.83/1.81 | | | | % 7.83/1.81 | | | | CLOSE: (47) is inconsistent. % 7.83/1.81 | | | | % 7.83/1.81 | | | Case 2: % 7.83/1.81 | | | | % 7.83/1.81 | | | | (48) ~ (all_16_2 = 0) | ~ (all_16_3 = 0) | ? [v0: $i] : ? [v1: % 7.83/1.81 | | | | any] : ? [v2: any] : (xsd_string(v0) = v1 & xsd_integer(v0) = % 7.83/1.81 | | | | v2 & $i(v0) & ((v2 = 0 & v1 = 0) | ( ~ (v2 = 0) & ~ (v1 = % 7.83/1.81 | | | | 0)))) | ? [v0: $i] : ? [v1: any] : ? [v2: any] : % 7.83/1.81 | | | | (cowlNothing(v0) = v2 & cowlThing(v0) = v1 & $i(v0) & ( ~ (v1 = % 7.83/1.81 | | | | 0) | v2 = 0)) % 7.83/1.81 | | | | % 7.83/1.81 | | | | BETA: splitting (48) gives: % 7.83/1.81 | | | | % 7.83/1.81 | | | | Case 1: % 7.83/1.81 | | | | | % 7.83/1.81 | | | | | (49) ~ (all_16_2 = 0) % 7.83/1.81 | | | | | % 7.83/1.81 | | | | | REDUCE: (38), (49) imply: % 7.83/1.81 | | | | | (50) $false % 7.83/1.81 | | | | | % 7.83/1.81 | | | | | CLOSE: (50) is inconsistent. % 7.83/1.81 | | | | | % 7.83/1.81 | | | | Case 2: % 7.83/1.81 | | | | | % 7.83/1.81 | | | | | (51) ~ (all_16_3 = 0) | ? [v0: $i] : ? [v1: any] : ? [v2: any] % 7.83/1.81 | | | | | : (xsd_string(v0) = v1 & xsd_integer(v0) = v2 & $i(v0) & ((v2 % 7.83/1.81 | | | | | = 0 & v1 = 0) | ( ~ (v2 = 0) & ~ (v1 = 0)))) | ? [v0: % 7.83/1.81 | | | | | $i] : ? [v1: any] : ? [v2: any] : (cowlNothing(v0) = v2 & % 7.83/1.81 | | | | | cowlThing(v0) = v1 & $i(v0) & ( ~ (v1 = 0) | v2 = 0)) % 7.83/1.81 | | | | | % 7.83/1.81 | | | | | BETA: splitting (51) gives: % 7.83/1.81 | | | | | % 7.83/1.81 | | | | | Case 1: % 7.83/1.81 | | | | | | % 7.83/1.81 | | | | | | (52) ~ (all_16_3 = 0) % 7.83/1.81 | | | | | | % 7.83/1.81 | | | | | | REDUCE: (26), (52) imply: % 7.83/1.81 | | | | | | (53) $false % 7.83/1.81 | | | | | | % 7.83/1.81 | | | | | | CLOSE: (53) is inconsistent. % 7.83/1.81 | | | | | | % 7.83/1.81 | | | | | Case 2: % 7.83/1.81 | | | | | | % 7.83/1.82 | | | | | | (54) ? [v0: $i] : ? [v1: any] : ? [v2: any] : (xsd_string(v0) % 7.83/1.82 | | | | | | = v1 & xsd_integer(v0) = v2 & $i(v0) & ((v2 = 0 & v1 = 0) % 7.83/1.82 | | | | | | | ( ~ (v2 = 0) & ~ (v1 = 0)))) | ? [v0: $i] : ? [v1: % 7.83/1.82 | | | | | | any] : ? [v2: any] : (cowlNothing(v0) = v2 & % 7.83/1.82 | | | | | | cowlThing(v0) = v1 & $i(v0) & ( ~ (v1 = 0) | v2 = 0)) % 7.83/1.82 | | | | | | % 7.83/1.82 | | | | | | BETA: splitting (54) gives: % 7.83/1.82 | | | | | | % 7.83/1.82 | | | | | | Case 1: % 7.83/1.82 | | | | | | | % 7.83/1.82 | | | | | | | (55) ? [v0: $i] : ? [v1: any] : ? [v2: any] : % 7.83/1.82 | | | | | | | (xsd_string(v0) = v1 & xsd_integer(v0) = v2 & $i(v0) & % 7.83/1.82 | | | | | | | ((v2 = 0 & v1 = 0) | ( ~ (v2 = 0) & ~ (v1 = 0)))) % 7.83/1.82 | | | | | | | % 7.83/1.82 | | | | | | | DELTA: instantiating (55) with fresh symbols all_92_0, all_92_1, % 7.83/1.82 | | | | | | | all_92_2 gives: % 7.83/1.82 | | | | | | | (56) xsd_string(all_92_2) = all_92_1 & xsd_integer(all_92_2) = % 7.83/1.82 | | | | | | | all_92_0 & $i(all_92_2) & ((all_92_0 = 0 & all_92_1 = 0) | % 7.83/1.82 | | | | | | | ( ~ (all_92_0 = 0) & ~ (all_92_1 = 0))) % 7.83/1.82 | | | | | | | % 7.83/1.82 | | | | | | | ALPHA: (56) implies: % 7.83/1.82 | | | | | | | (57) $i(all_92_2) % 7.83/1.82 | | | | | | | (58) xsd_integer(all_92_2) = all_92_0 % 7.83/1.82 | | | | | | | (59) xsd_string(all_92_2) = all_92_1 % 7.83/1.82 | | | | | | | (60) (all_92_0 = 0 & all_92_1 = 0) | ( ~ (all_92_0 = 0) & ~ % 7.83/1.82 | | | | | | | (all_92_1 = 0)) % 7.83/1.82 | | | | | | | % 7.83/1.82 | | | | | | | GROUND_INST: instantiating (4) with all_92_2, all_92_1, % 7.83/1.82 | | | | | | | simplifying with (57), (59) gives: % 7.83/1.82 | | | | | | | (61) all_92_1 = 0 | xsd_integer(all_92_2) = 0 % 7.83/1.82 | | | | | | | % 7.83/1.82 | | | | | | | BETA: splitting (60) gives: % 7.83/1.82 | | | | | | | % 7.83/1.82 | | | | | | | Case 1: % 7.83/1.82 | | | | | | | | % 7.83/1.82 | | | | | | | | (62) all_92_0 = 0 & all_92_1 = 0 % 7.83/1.82 | | | | | | | | % 7.83/1.82 | | | | | | | | ALPHA: (62) implies: % 7.83/1.82 | | | | | | | | (63) all_92_1 = 0 % 7.83/1.82 | | | | | | | | (64) all_92_0 = 0 % 7.83/1.82 | | | | | | | | % 7.83/1.82 | | | | | | | | REDUCE: (59), (63) imply: % 7.83/1.82 | | | | | | | | (65) xsd_string(all_92_2) = 0 % 7.83/1.82 | | | | | | | | % 7.83/1.82 | | | | | | | | REDUCE: (58), (64) imply: % 7.83/1.82 | | | | | | | | (66) xsd_integer(all_92_2) = 0 % 7.83/1.82 | | | | | | | | % 7.83/1.82 | | | | | | | | GROUND_INST: instantiating (3) with all_92_2, simplifying with % 7.83/1.82 | | | | | | | | (57), (65) gives: % 7.83/1.82 | | | | | | | | (67) ? [v0: int] : ( ~ (v0 = 0) & xsd_integer(all_92_2) = % 7.83/1.82 | | | | | | | | v0) % 7.83/1.82 | | | | | | | | % 7.83/1.82 | | | | | | | | DELTA: instantiating (67) with fresh symbol all_106_0 gives: % 7.83/1.82 | | | | | | | | (68) ~ (all_106_0 = 0) & xsd_integer(all_92_2) = all_106_0 % 7.83/1.82 | | | | | | | | % 7.83/1.82 | | | | | | | | ALPHA: (68) implies: % 7.83/1.82 | | | | | | | | (69) ~ (all_106_0 = 0) % 7.83/1.82 | | | | | | | | (70) xsd_integer(all_92_2) = all_106_0 % 7.83/1.82 | | | | | | | | % 7.83/1.82 | | | | | | | | GROUND_INST: instantiating (16) with 0, all_106_0, all_92_2, % 7.83/1.82 | | | | | | | | simplifying with (66), (70) gives: % 7.83/1.82 | | | | | | | | (71) all_106_0 = 0 % 7.83/1.82 | | | | | | | | % 7.83/1.82 | | | | | | | | REDUCE: (69), (71) imply: % 7.83/1.82 | | | | | | | | (72) $false % 7.83/1.82 | | | | | | | | % 7.83/1.82 | | | | | | | | CLOSE: (72) is inconsistent. % 7.83/1.82 | | | | | | | | % 7.83/1.82 | | | | | | | Case 2: % 7.83/1.82 | | | | | | | | % 7.83/1.82 | | | | | | | | (73) ~ (all_92_0 = 0) & ~ (all_92_1 = 0) % 7.83/1.82 | | | | | | | | % 7.83/1.82 | | | | | | | | ALPHA: (73) implies: % 7.83/1.82 | | | | | | | | (74) ~ (all_92_1 = 0) % 7.83/1.82 | | | | | | | | (75) ~ (all_92_0 = 0) % 7.83/1.82 | | | | | | | | % 7.83/1.82 | | | | | | | | BETA: splitting (61) gives: % 7.83/1.82 | | | | | | | | % 7.83/1.82 | | | | | | | | Case 1: % 7.83/1.82 | | | | | | | | | % 7.83/1.82 | | | | | | | | | (76) xsd_integer(all_92_2) = 0 % 7.83/1.82 | | | | | | | | | % 7.83/1.82 | | | | | | | | | GROUND_INST: instantiating (16) with all_92_0, 0, all_92_2, % 7.83/1.82 | | | | | | | | | simplifying with (58), (76) gives: % 7.83/1.83 | | | | | | | | | (77) all_92_0 = 0 % 7.83/1.83 | | | | | | | | | % 7.83/1.83 | | | | | | | | | REDUCE: (75), (77) imply: % 7.83/1.83 | | | | | | | | | (78) $false % 7.83/1.83 | | | | | | | | | % 7.83/1.83 | | | | | | | | | CLOSE: (78) is inconsistent. % 7.83/1.83 | | | | | | | | | % 7.83/1.83 | | | | | | | | Case 2: % 7.83/1.83 | | | | | | | | | % 7.83/1.83 | | | | | | | | | (79) all_92_1 = 0 % 7.83/1.83 | | | | | | | | | % 7.83/1.83 | | | | | | | | | REDUCE: (74), (79) imply: % 7.83/1.83 | | | | | | | | | (80) $false % 7.83/1.83 | | | | | | | | | % 7.83/1.83 | | | | | | | | | CLOSE: (80) is inconsistent. % 7.83/1.83 | | | | | | | | | % 7.83/1.83 | | | | | | | | End of split % 7.83/1.83 | | | | | | | | % 7.83/1.83 | | | | | | | End of split % 7.83/1.83 | | | | | | | % 7.83/1.83 | | | | | | Case 2: % 7.83/1.83 | | | | | | | % 7.83/1.83 | | | | | | | (81) ? [v0: $i] : ? [v1: any] : ? [v2: any] : % 7.83/1.83 | | | | | | | (cowlNothing(v0) = v2 & cowlThing(v0) = v1 & $i(v0) & ( ~ % 7.83/1.83 | | | | | | | (v1 = 0) | v2 = 0)) % 7.83/1.83 | | | | | | | % 7.83/1.83 | | | | | | | DELTA: instantiating (81) with fresh symbols all_92_0, all_92_1, % 7.83/1.83 | | | | | | | all_92_2 gives: % 7.83/1.83 | | | | | | | (82) cowlNothing(all_92_2) = all_92_0 & cowlThing(all_92_2) = % 7.83/1.83 | | | | | | | all_92_1 & $i(all_92_2) & ( ~ (all_92_1 = 0) | all_92_0 = % 7.83/1.83 | | | | | | | 0) % 7.83/1.83 | | | | | | | % 7.83/1.83 | | | | | | | ALPHA: (82) implies: % 7.83/1.83 | | | | | | | (83) $i(all_92_2) % 7.83/1.83 | | | | | | | (84) cowlThing(all_92_2) = all_92_1 % 7.83/1.83 | | | | | | | (85) cowlNothing(all_92_2) = all_92_0 % 7.83/1.83 | | | | | | | (86) ~ (all_92_1 = 0) | all_92_0 = 0 % 7.83/1.83 | | | | | | | % 7.83/1.83 | | | | | | | GROUND_INST: instantiating (2) with all_92_2, all_92_1, % 7.83/1.83 | | | | | | | simplifying with (83), (84) gives: % 7.83/1.83 | | | | | | | (87) all_92_1 = 0 % 7.83/1.83 | | | | | | | % 7.83/1.83 | | | | | | | BETA: splitting (86) gives: % 7.83/1.83 | | | | | | | % 7.83/1.83 | | | | | | | Case 1: % 7.83/1.83 | | | | | | | | % 7.83/1.83 | | | | | | | | (88) ~ (all_92_1 = 0) % 7.83/1.83 | | | | | | | | % 7.83/1.83 | | | | | | | | REDUCE: (87), (88) imply: % 7.83/1.83 | | | | | | | | (89) $false % 7.83/1.83 | | | | | | | | % 7.83/1.83 | | | | | | | | CLOSE: (89) is inconsistent. % 7.83/1.83 | | | | | | | | % 7.83/1.83 | | | | | | | Case 2: % 7.83/1.83 | | | | | | | | % 7.83/1.83 | | | | | | | | (90) all_92_0 = 0 % 7.83/1.83 | | | | | | | | % 7.83/1.83 | | | | | | | | REDUCE: (85), (90) imply: % 7.83/1.83 | | | | | | | | (91) cowlNothing(all_92_2) = 0 % 7.83/1.83 | | | | | | | | % 7.83/1.83 | | | | | | | | GROUND_INST: instantiating (1) with all_92_2, simplifying with % 7.83/1.83 | | | | | | | | (83), (91) gives: % 7.83/1.83 | | | | | | | | (92) $false % 7.83/1.83 | | | | | | | | % 7.83/1.83 | | | | | | | | CLOSE: (92) is inconsistent. % 7.83/1.83 | | | | | | | | % 7.83/1.83 | | | | | | | End of split % 7.83/1.83 | | | | | | | % 7.83/1.83 | | | | | | End of split % 7.83/1.83 | | | | | | % 7.83/1.83 | | | | | End of split % 7.83/1.83 | | | | | % 7.83/1.83 | | | | End of split % 7.83/1.83 | | | | % 7.83/1.83 | | | End of split % 7.83/1.83 | | | % 7.83/1.83 | | End of split % 7.83/1.83 | | % 7.83/1.83 | End of split % 7.83/1.83 | % 7.83/1.83 End of proof % 7.83/1.83 % SZS output end Proof for theBenchmark % 7.83/1.83 % 7.83/1.83 1227ms %------------------------------------------------------------------------------