%------------------------------------------------------------------------------ % File : Princess---230619 % Problem : KRS163+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 : n009.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 05:51:30 EDT 2023 % Result : Theorem 4.89s 1.33s % Output : Proof 6.34s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.07/0.12 % Problem : KRS163+1 : TPTP v8.1.2. Released v3.1.0. % 0.07/0.12 % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s % 0.13/0.33 % Computer : n009.cluster.edu % 0.13/0.33 % Model : x86_64 x86_64 % 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.13/0.33 % Memory : 8042.1875MB % 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.13/0.33 % CPULimit : 300 % 0.13/0.33 % WCLimit : 300 % 0.13/0.33 % DateTime : Mon Aug 28 02:01:35 EDT 2023 % 0.13/0.33 % CPUTime : % 0.19/0.59 ________ _____ % 0.19/0.59 ___ __ \_________(_)________________________________ % 0.19/0.59 __ /_/ /_ ___/_ /__ __ \ ___/ _ \_ ___/_ ___/ % 0.19/0.59 _ ____/_ / _ / _ / / / /__ / __/(__ )_(__ ) % 0.19/0.59 /_/ /_/ /_/ /_/ /_/\___/ \___//____/ /____/ % 0.19/0.59 % 0.19/0.59 A Theorem Prover for First-Order Logic modulo Linear Integer Arithmetic % 0.19/0.59 (2023-06-19) % 0.19/0.59 % 0.19/0.59 (c) Philipp Rümmer, 2009-2023 % 0.19/0.59 Contributors: Peter Backeman, Peter Baumgartner, Angelo Brillout, Zafer Esen, % 0.19/0.59 Amanda Stjerna. % 0.19/0.59 Free software under BSD-3-Clause. % 0.19/0.59 % 0.19/0.59 For more information, visit http://www.philipp.ruemmer.org/princess.shtml % 0.19/0.59 % 0.19/0.59 Loading /export/starexec/sandbox/benchmark/theBenchmark.p ... % 0.62/0.60 Running up to 7 provers in parallel. % 0.71/0.61 Prover 2: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1065072994 % 0.71/0.61 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1571432423 % 0.71/0.61 Prover 0: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893 % 0.71/0.61 Prover 3: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996 % 0.71/0.61 Prover 5: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288 % 0.71/0.61 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696 % 0.71/0.61 Prover 6: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365 % 2.19/0.95 Prover 1: Preprocessing ... % 2.19/0.95 Prover 4: Preprocessing ... % 2.19/0.99 Prover 0: Preprocessing ... % 2.19/0.99 Prover 2: Preprocessing ... % 2.19/0.99 Prover 6: Preprocessing ... % 2.19/0.99 Prover 3: Preprocessing ... % 2.19/0.99 Prover 5: Preprocessing ... % 3.29/1.15 Prover 2: Proving ... % 3.29/1.16 Prover 5: Proving ... % 3.29/1.16 Prover 6: Constructing countermodel ... % 3.92/1.18 Prover 3: Constructing countermodel ... % 3.92/1.18 Prover 1: Constructing countermodel ... % 3.92/1.18 Prover 4: Constructing countermodel ... % 4.02/1.20 Prover 0: Proving ... % 4.89/1.33 Prover 3: proved (711ms) % 4.89/1.33 % 4.89/1.33 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p % 4.89/1.33 % 4.89/1.33 Prover 6: proved (710ms) % 4.89/1.33 % 4.89/1.33 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p % 4.89/1.33 % 4.89/1.33 Prover 2: stopped % 4.89/1.33 Prover 5: stopped % 4.89/1.33 Prover 0: stopped % 4.89/1.34 Prover 7: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470 % 4.89/1.34 Prover 8: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089 % 4.89/1.34 Prover 10: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=919308125 % 4.89/1.34 Prover 11: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1509710984 % 4.89/1.34 Prover 13: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=1138197443 % 4.89/1.36 Prover 10: Preprocessing ... % 4.89/1.36 Prover 8: Preprocessing ... % 4.89/1.38 Prover 13: Preprocessing ... % 4.89/1.38 Prover 11: Preprocessing ... % 5.42/1.39 Prover 7: Preprocessing ... % 5.42/1.41 Prover 7: Warning: ignoring some quantifiers % 5.42/1.41 Prover 7: Constructing countermodel ... % 5.42/1.42 Prover 13: Warning: ignoring some quantifiers % 5.42/1.42 Prover 13: Constructing countermodel ... % 5.42/1.43 Prover 8: Warning: ignoring some quantifiers % 5.42/1.43 Prover 10: Warning: ignoring some quantifiers % 5.42/1.43 Prover 10: Constructing countermodel ... % 5.42/1.43 Prover 8: Constructing countermodel ... % 5.42/1.46 Prover 1: Found proof (size 56) % 5.42/1.46 Prover 4: Found proof (size 63) % 5.42/1.46 Prover 1: proved (851ms) % 5.42/1.46 Prover 4: proved (846ms) % 5.42/1.46 Prover 8: stopped % 5.42/1.46 Prover 13: stopped % 5.42/1.46 Prover 10: stopped % 5.42/1.46 Prover 7: stopped % 6.10/1.47 Prover 11: Constructing countermodel ... % 6.10/1.48 Prover 11: stopped % 6.10/1.48 % 6.10/1.48 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p % 6.10/1.48 % 6.18/1.49 % SZS output start Proof for theBenchmark % 6.18/1.49 Assumptions after simplification: % 6.18/1.49 --------------------------------- % 6.18/1.49 % 6.18/1.50 (axiom_0) % 6.34/1.52 ! [v0: $i] : ! [v1: int] : (v1 = 0 | ~ (cowlThing(v0) = v1) | ~ $i(v0)) & % 6.34/1.52 ! [v0: $i] : ( ~ (cowlNothing(v0) = 0) | ~ $i(v0)) % 6.34/1.52 % 6.34/1.52 (axiom_1) % 6.34/1.53 ! [v0: $i] : ! [v1: int] : (v1 = 0 | ~ (xsd_string(v0) = v1) | ~ $i(v0) | % 6.34/1.53 xsd_integer(v0) = 0) & ! [v0: $i] : ( ~ (xsd_string(v0) = 0) | ~ $i(v0) | % 6.34/1.53 ? [v1: int] : ( ~ (v1 = 0) & xsd_integer(v0) = v1)) % 6.34/1.53 % 6.34/1.53 (axiom_2) % 6.34/1.53 cA(ia) = 0 & $i(ia) % 6.34/1.53 % 6.34/1.53 (axiom_3) % 6.34/1.53 cowlThing(ia) = 0 & $i(ia) % 6.34/1.53 % 6.34/1.53 (axiom_4) % 6.34/1.53 cB(ib) = 0 & $i(ib) % 6.34/1.53 % 6.34/1.53 (axiom_5) % 6.34/1.53 cowlThing(ib) = 0 & $i(ib) % 6.34/1.53 % 6.34/1.53 (axiom_6) % 6.34/1.53 ! [v0: $i] : ( ~ (cB(v0) = 0) | ~ $i(v0) | ? [v1: int] : ( ~ (v1 = 0) & % 6.34/1.53 cA(v0) = v1)) % 6.34/1.53 % 6.34/1.53 (the_axiom) % 6.34/1.54 $i(ib) & $i(ia) & ? [v0: any] : ? [v1: any] : (cowlThing(ib) = v1 & % 6.34/1.54 cowlThing(ia) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | ib = ia | ? [v2: $i] : ? % 6.34/1.54 [v3: any] : ? [v4: any] : (xsd_string(v2) = v3 & xsd_integer(v2) = v4 & % 6.34/1.54 $i(v2) & ((v4 = 0 & v3 = 0) | ( ~ (v4 = 0) & ~ (v3 = 0)))) | ? [v2: % 6.34/1.54 $i] : ? [v3: any] : ? [v4: any] : (cowlThing(v2) = v3 & % 6.34/1.54 cowlNothing(v2) = v4 & $i(v2) & ( ~ (v3 = 0) | v4 = 0)))) % 6.34/1.54 % 6.34/1.54 (function-axioms) % 6.34/1.54 ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : (v1 = % 6.34/1.54 v0 | ~ (xsd_string(v2) = v1) | ~ (xsd_string(v2) = v0)) & ! [v0: % 6.34/1.54 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 | % 6.34/1.54 ~ (xsd_integer(v2) = v1) | ~ (xsd_integer(v2) = v0)) & ! [v0: % 6.34/1.54 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 | % 6.34/1.54 ~ (cowlThing(v2) = v1) | ~ (cowlThing(v2) = v0)) & ! [v0: % 6.34/1.54 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 | % 6.34/1.54 ~ (cowlNothing(v2) = v1) | ~ (cowlNothing(v2) = v0)) & ! [v0: % 6.34/1.54 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 | % 6.34/1.54 ~ (cB(v2) = v1) | ~ (cB(v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1: % 6.34/1.54 MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~ (cA(v2) = v1) | ~ (cA(v2) % 6.34/1.54 = v0)) % 6.34/1.54 % 6.34/1.54 Further assumptions not needed in the proof: % 6.34/1.54 -------------------------------------------- % 6.34/1.54 cA_substitution_1, cB_substitution_1, cowlNothing_substitution_1, % 6.34/1.54 cowlThing_substitution_1, xsd_integer_substitution_1, xsd_string_substitution_1 % 6.34/1.54 % 6.34/1.54 Those formulas are unsatisfiable: % 6.34/1.54 --------------------------------- % 6.34/1.54 % 6.34/1.54 Begin of proof % 6.34/1.54 | % 6.34/1.55 | ALPHA: (axiom_0) implies: % 6.34/1.55 | (1) ! [v0: $i] : ( ~ (cowlNothing(v0) = 0) | ~ $i(v0)) % 6.34/1.55 | (2) ! [v0: $i] : ! [v1: int] : (v1 = 0 | ~ (cowlThing(v0) = v1) | ~ % 6.34/1.55 | $i(v0)) % 6.34/1.55 | % 6.34/1.55 | ALPHA: (axiom_1) implies: % 6.34/1.55 | (3) ! [v0: $i] : ( ~ (xsd_string(v0) = 0) | ~ $i(v0) | ? [v1: int] : ( ~ % 6.34/1.55 | (v1 = 0) & xsd_integer(v0) = v1)) % 6.34/1.55 | (4) ! [v0: $i] : ! [v1: int] : (v1 = 0 | ~ (xsd_string(v0) = v1) | ~ % 6.34/1.55 | $i(v0) | xsd_integer(v0) = 0) % 6.34/1.55 | % 6.34/1.55 | ALPHA: (axiom_2) implies: % 6.34/1.55 | (5) cA(ia) = 0 % 6.34/1.55 | % 6.34/1.55 | ALPHA: (axiom_3) implies: % 6.34/1.55 | (6) cowlThing(ia) = 0 % 6.34/1.55 | % 6.34/1.55 | ALPHA: (axiom_4) implies: % 6.34/1.55 | (7) cB(ib) = 0 % 6.34/1.55 | % 6.34/1.55 | ALPHA: (axiom_5) implies: % 6.34/1.55 | (8) cowlThing(ib) = 0 % 6.34/1.55 | % 6.34/1.55 | ALPHA: (the_axiom) implies: % 6.34/1.55 | (9) $i(ib) % 6.34/1.56 | (10) ? [v0: any] : ? [v1: any] : (cowlThing(ib) = v1 & cowlThing(ia) = v0 % 6.34/1.56 | & ( ~ (v1 = 0) | ~ (v0 = 0) | ib = ia | ? [v2: $i] : ? [v3: any] % 6.34/1.56 | : ? [v4: any] : (xsd_string(v2) = v3 & xsd_integer(v2) = v4 & % 6.34/1.56 | $i(v2) & ((v4 = 0 & v3 = 0) | ( ~ (v4 = 0) & ~ (v3 = 0)))) | ? % 6.34/1.56 | [v2: $i] : ? [v3: any] : ? [v4: any] : (cowlThing(v2) = v3 & % 6.34/1.56 | cowlNothing(v2) = v4 & $i(v2) & ( ~ (v3 = 0) | v4 = 0)))) % 6.34/1.56 | % 6.34/1.56 | ALPHA: (function-axioms) implies: % 6.34/1.56 | (11) ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] % 6.34/1.56 | : (v1 = v0 | ~ (cA(v2) = v1) | ~ (cA(v2) = v0)) % 6.34/1.56 | (12) ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] % 6.34/1.56 | : (v1 = v0 | ~ (cowlThing(v2) = v1) | ~ (cowlThing(v2) = v0)) % 6.34/1.56 | (13) ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] % 6.34/1.56 | : (v1 = v0 | ~ (xsd_integer(v2) = v1) | ~ (xsd_integer(v2) = v0)) % 6.34/1.56 | % 6.34/1.56 | DELTA: instantiating (10) with fresh symbols all_7_0, all_7_1 gives: % 6.34/1.56 | (14) cowlThing(ib) = all_7_0 & cowlThing(ia) = all_7_1 & ( ~ (all_7_0 = 0) % 6.34/1.56 | | ~ (all_7_1 = 0) | ib = ia | ? [v0: $i] : ? [v1: any] : ? [v2: % 6.34/1.56 | any] : (xsd_string(v0) = v1 & xsd_integer(v0) = v2 & $i(v0) & ((v2 % 6.34/1.56 | = 0 & v1 = 0) | ( ~ (v2 = 0) & ~ (v1 = 0)))) | ? [v0: $i] : % 6.34/1.56 | ? [v1: any] : ? [v2: any] : (cowlThing(v0) = v1 & cowlNothing(v0) = % 6.34/1.56 | v2 & $i(v0) & ( ~ (v1 = 0) | v2 = 0))) % 6.34/1.56 | % 6.34/1.56 | ALPHA: (14) implies: % 6.34/1.56 | (15) cowlThing(ia) = all_7_1 % 6.34/1.56 | (16) cowlThing(ib) = all_7_0 % 6.34/1.56 | (17) ~ (all_7_0 = 0) | ~ (all_7_1 = 0) | ib = ia | ? [v0: $i] : ? [v1: % 6.34/1.56 | any] : ? [v2: any] : (xsd_string(v0) = v1 & xsd_integer(v0) = v2 & % 6.34/1.56 | $i(v0) & ((v2 = 0 & v1 = 0) | ( ~ (v2 = 0) & ~ (v1 = 0)))) | ? % 6.34/1.56 | [v0: $i] : ? [v1: any] : ? [v2: any] : (cowlThing(v0) = v1 & % 6.34/1.56 | cowlNothing(v0) = v2 & $i(v0) & ( ~ (v1 = 0) | v2 = 0)) % 6.34/1.56 | % 6.34/1.57 | GROUND_INST: instantiating (12) with 0, all_7_1, ia, simplifying with (6), % 6.34/1.57 | (15) gives: % 6.34/1.57 | (18) all_7_1 = 0 % 6.34/1.57 | % 6.34/1.57 | GROUND_INST: instantiating (12) with 0, all_7_0, ib, simplifying with (8), % 6.34/1.57 | (16) gives: % 6.34/1.57 | (19) all_7_0 = 0 % 6.34/1.57 | % 6.34/1.57 | GROUND_INST: instantiating (axiom_6) with ib, simplifying with (7), (9) gives: % 6.34/1.57 | (20) ? [v0: int] : ( ~ (v0 = 0) & cA(ib) = v0) % 6.34/1.57 | % 6.34/1.57 | DELTA: instantiating (20) with fresh symbol all_18_0 gives: % 6.34/1.57 | (21) ~ (all_18_0 = 0) & cA(ib) = all_18_0 % 6.34/1.57 | % 6.34/1.57 | ALPHA: (21) implies: % 6.34/1.57 | (22) ~ (all_18_0 = 0) % 6.34/1.57 | (23) cA(ib) = all_18_0 % 6.34/1.57 | % 6.34/1.57 | BETA: splitting (17) gives: % 6.34/1.57 | % 6.34/1.57 | Case 1: % 6.34/1.57 | | % 6.34/1.57 | | (24) ~ (all_7_0 = 0) % 6.34/1.57 | | % 6.34/1.57 | | REDUCE: (19), (24) imply: % 6.34/1.57 | | (25) $false % 6.34/1.57 | | % 6.34/1.57 | | CLOSE: (25) is inconsistent. % 6.34/1.57 | | % 6.34/1.57 | Case 2: % 6.34/1.57 | | % 6.34/1.57 | | (26) ~ (all_7_1 = 0) | ib = ia | ? [v0: $i] : ? [v1: any] : ? [v2: % 6.34/1.57 | | any] : (xsd_string(v0) = v1 & xsd_integer(v0) = v2 & $i(v0) & ((v2 % 6.34/1.57 | | = 0 & v1 = 0) | ( ~ (v2 = 0) & ~ (v1 = 0)))) | ? [v0: $i] : % 6.34/1.57 | | ? [v1: any] : ? [v2: any] : (cowlThing(v0) = v1 & cowlNothing(v0) = % 6.34/1.57 | | v2 & $i(v0) & ( ~ (v1 = 0) | v2 = 0)) % 6.34/1.57 | | % 6.34/1.57 | | BETA: splitting (26) gives: % 6.34/1.57 | | % 6.34/1.57 | | Case 1: % 6.34/1.57 | | | % 6.34/1.57 | | | (27) ~ (all_7_1 = 0) % 6.34/1.57 | | | % 6.34/1.57 | | | REDUCE: (18), (27) imply: % 6.34/1.57 | | | (28) $false % 6.34/1.57 | | | % 6.34/1.57 | | | CLOSE: (28) is inconsistent. % 6.34/1.57 | | | % 6.34/1.57 | | Case 2: % 6.34/1.57 | | | % 6.34/1.58 | | | (29) ib = ia | ? [v0: $i] : ? [v1: any] : ? [v2: any] : % 6.34/1.58 | | | (xsd_string(v0) = v1 & xsd_integer(v0) = v2 & $i(v0) & ((v2 = 0 & % 6.34/1.58 | | | v1 = 0) | ( ~ (v2 = 0) & ~ (v1 = 0)))) | ? [v0: $i] : ? % 6.34/1.58 | | | [v1: any] : ? [v2: any] : (cowlThing(v0) = v1 & cowlNothing(v0) = % 6.34/1.58 | | | v2 & $i(v0) & ( ~ (v1 = 0) | v2 = 0)) % 6.34/1.58 | | | % 6.34/1.58 | | | BETA: splitting (29) gives: % 6.34/1.58 | | | % 6.34/1.58 | | | Case 1: % 6.34/1.58 | | | | % 6.34/1.58 | | | | (30) ib = ia % 6.34/1.58 | | | | % 6.34/1.58 | | | | REDUCE: (23), (30) imply: % 6.34/1.58 | | | | (31) cA(ia) = all_18_0 % 6.34/1.58 | | | | % 6.34/1.58 | | | | GROUND_INST: instantiating (11) with 0, all_18_0, ia, simplifying with % 6.34/1.58 | | | | (5), (31) gives: % 6.34/1.58 | | | | (32) all_18_0 = 0 % 6.34/1.58 | | | | % 6.34/1.58 | | | | REDUCE: (22), (32) imply: % 6.34/1.58 | | | | (33) $false % 6.34/1.58 | | | | % 6.34/1.58 | | | | CLOSE: (33) is inconsistent. % 6.34/1.58 | | | | % 6.34/1.58 | | | Case 2: % 6.34/1.58 | | | | % 6.34/1.58 | | | | (34) ? [v0: $i] : ? [v1: any] : ? [v2: any] : (xsd_string(v0) = v1 % 6.34/1.58 | | | | & xsd_integer(v0) = v2 & $i(v0) & ((v2 = 0 & v1 = 0) | ( ~ (v2 % 6.34/1.58 | | | | = 0) & ~ (v1 = 0)))) | ? [v0: $i] : ? [v1: any] : ? % 6.34/1.58 | | | | [v2: any] : (cowlThing(v0) = v1 & cowlNothing(v0) = v2 & $i(v0) % 6.34/1.58 | | | | & ( ~ (v1 = 0) | v2 = 0)) % 6.34/1.58 | | | | % 6.34/1.58 | | | | BETA: splitting (34) gives: % 6.34/1.58 | | | | % 6.34/1.58 | | | | Case 1: % 6.34/1.58 | | | | | % 6.34/1.58 | | | | | (35) ? [v0: $i] : ? [v1: any] : ? [v2: any] : (xsd_string(v0) = % 6.34/1.58 | | | | | v1 & xsd_integer(v0) = v2 & $i(v0) & ((v2 = 0 & v1 = 0) | ( % 6.34/1.58 | | | | | ~ (v2 = 0) & ~ (v1 = 0)))) % 6.34/1.58 | | | | | % 6.34/1.58 | | | | | DELTA: instantiating (35) with fresh symbols all_47_0, all_47_1, % 6.34/1.58 | | | | | all_47_2 gives: % 6.34/1.58 | | | | | (36) xsd_string(all_47_2) = all_47_1 & xsd_integer(all_47_2) = % 6.34/1.58 | | | | | all_47_0 & $i(all_47_2) & ((all_47_0 = 0 & all_47_1 = 0) | ( ~ % 6.34/1.58 | | | | | (all_47_0 = 0) & ~ (all_47_1 = 0))) % 6.34/1.58 | | | | | % 6.34/1.58 | | | | | ALPHA: (36) implies: % 6.34/1.58 | | | | | (37) $i(all_47_2) % 6.34/1.58 | | | | | (38) xsd_integer(all_47_2) = all_47_0 % 6.34/1.58 | | | | | (39) xsd_string(all_47_2) = all_47_1 % 6.34/1.58 | | | | | (40) (all_47_0 = 0 & all_47_1 = 0) | ( ~ (all_47_0 = 0) & ~ % 6.34/1.58 | | | | | (all_47_1 = 0)) % 6.34/1.58 | | | | | % 6.34/1.58 | | | | | GROUND_INST: instantiating (4) with all_47_2, all_47_1, simplifying % 6.34/1.58 | | | | | with (37), (39) gives: % 6.34/1.58 | | | | | (41) all_47_1 = 0 | xsd_integer(all_47_2) = 0 % 6.34/1.58 | | | | | % 6.34/1.58 | | | | | BETA: splitting (40) gives: % 6.34/1.58 | | | | | % 6.34/1.58 | | | | | Case 1: % 6.34/1.58 | | | | | | % 6.34/1.58 | | | | | | (42) all_47_0 = 0 & all_47_1 = 0 % 6.34/1.58 | | | | | | % 6.34/1.58 | | | | | | ALPHA: (42) implies: % 6.34/1.58 | | | | | | (43) all_47_1 = 0 % 6.34/1.58 | | | | | | (44) all_47_0 = 0 % 6.34/1.58 | | | | | | % 6.34/1.58 | | | | | | REDUCE: (39), (43) imply: % 6.34/1.58 | | | | | | (45) xsd_string(all_47_2) = 0 % 6.34/1.58 | | | | | | % 6.34/1.58 | | | | | | REDUCE: (38), (44) imply: % 6.34/1.58 | | | | | | (46) xsd_integer(all_47_2) = 0 % 6.34/1.58 | | | | | | % 6.34/1.58 | | | | | | GROUND_INST: instantiating (3) with all_47_2, simplifying with (37), % 6.34/1.58 | | | | | | (45) gives: % 6.34/1.58 | | | | | | (47) ? [v0: int] : ( ~ (v0 = 0) & xsd_integer(all_47_2) = v0) % 6.34/1.58 | | | | | | % 6.34/1.58 | | | | | | DELTA: instantiating (47) with fresh symbol all_61_0 gives: % 6.34/1.58 | | | | | | (48) ~ (all_61_0 = 0) & xsd_integer(all_47_2) = all_61_0 % 6.34/1.58 | | | | | | % 6.34/1.58 | | | | | | ALPHA: (48) implies: % 6.34/1.58 | | | | | | (49) ~ (all_61_0 = 0) % 6.34/1.58 | | | | | | (50) xsd_integer(all_47_2) = all_61_0 % 6.34/1.59 | | | | | | % 6.34/1.59 | | | | | | GROUND_INST: instantiating (13) with 0, all_61_0, all_47_2, % 6.34/1.59 | | | | | | simplifying with (46), (50) gives: % 6.34/1.59 | | | | | | (51) all_61_0 = 0 % 6.34/1.59 | | | | | | % 6.34/1.59 | | | | | | REDUCE: (49), (51) imply: % 6.34/1.59 | | | | | | (52) $false % 6.34/1.59 | | | | | | % 6.34/1.59 | | | | | | CLOSE: (52) is inconsistent. % 6.34/1.59 | | | | | | % 6.34/1.59 | | | | | Case 2: % 6.34/1.59 | | | | | | % 6.34/1.59 | | | | | | (53) ~ (all_47_0 = 0) & ~ (all_47_1 = 0) % 6.34/1.59 | | | | | | % 6.34/1.59 | | | | | | ALPHA: (53) implies: % 6.34/1.59 | | | | | | (54) ~ (all_47_1 = 0) % 6.34/1.59 | | | | | | (55) ~ (all_47_0 = 0) % 6.34/1.59 | | | | | | % 6.34/1.59 | | | | | | BETA: splitting (41) gives: % 6.34/1.59 | | | | | | % 6.34/1.59 | | | | | | Case 1: % 6.34/1.59 | | | | | | | % 6.34/1.59 | | | | | | | (56) xsd_integer(all_47_2) = 0 % 6.34/1.59 | | | | | | | % 6.34/1.59 | | | | | | | GROUND_INST: instantiating (13) with all_47_0, 0, all_47_2, % 6.34/1.59 | | | | | | | simplifying with (38), (56) gives: % 6.34/1.59 | | | | | | | (57) all_47_0 = 0 % 6.34/1.59 | | | | | | | % 6.34/1.59 | | | | | | | REDUCE: (55), (57) imply: % 6.34/1.59 | | | | | | | (58) $false % 6.34/1.59 | | | | | | | % 6.34/1.59 | | | | | | | CLOSE: (58) is inconsistent. % 6.34/1.59 | | | | | | | % 6.34/1.59 | | | | | | Case 2: % 6.34/1.59 | | | | | | | % 6.34/1.59 | | | | | | | (59) all_47_1 = 0 % 6.34/1.59 | | | | | | | % 6.34/1.59 | | | | | | | REDUCE: (54), (59) imply: % 6.34/1.59 | | | | | | | (60) $false % 6.34/1.59 | | | | | | | % 6.34/1.59 | | | | | | | CLOSE: (60) is inconsistent. % 6.34/1.59 | | | | | | | % 6.34/1.59 | | | | | | End of split % 6.34/1.59 | | | | | | % 6.34/1.59 | | | | | End of split % 6.34/1.59 | | | | | % 6.34/1.59 | | | | Case 2: % 6.34/1.59 | | | | | % 6.34/1.59 | | | | | (61) ? [v0: $i] : ? [v1: any] : ? [v2: any] : (cowlThing(v0) = % 6.34/1.59 | | | | | v1 & cowlNothing(v0) = v2 & $i(v0) & ( ~ (v1 = 0) | v2 = 0)) % 6.34/1.59 | | | | | % 6.34/1.59 | | | | | DELTA: instantiating (61) with fresh symbols all_47_0, all_47_1, % 6.34/1.59 | | | | | all_47_2 gives: % 6.34/1.59 | | | | | (62) cowlThing(all_47_2) = all_47_1 & cowlNothing(all_47_2) = % 6.34/1.59 | | | | | all_47_0 & $i(all_47_2) & ( ~ (all_47_1 = 0) | all_47_0 = 0) % 6.34/1.59 | | | | | % 6.34/1.59 | | | | | ALPHA: (62) implies: % 6.34/1.59 | | | | | (63) $i(all_47_2) % 6.34/1.59 | | | | | (64) cowlNothing(all_47_2) = all_47_0 % 6.34/1.59 | | | | | (65) cowlThing(all_47_2) = all_47_1 % 6.34/1.59 | | | | | (66) ~ (all_47_1 = 0) | all_47_0 = 0 % 6.34/1.59 | | | | | % 6.34/1.59 | | | | | GROUND_INST: instantiating (2) with all_47_2, all_47_1, simplifying % 6.34/1.59 | | | | | with (63), (65) gives: % 6.34/1.59 | | | | | (67) all_47_1 = 0 % 6.34/1.59 | | | | | % 6.34/1.59 | | | | | BETA: splitting (66) gives: % 6.34/1.59 | | | | | % 6.34/1.59 | | | | | Case 1: % 6.34/1.59 | | | | | | % 6.34/1.59 | | | | | | (68) ~ (all_47_1 = 0) % 6.34/1.59 | | | | | | % 6.34/1.59 | | | | | | REDUCE: (67), (68) imply: % 6.34/1.59 | | | | | | (69) $false % 6.34/1.59 | | | | | | % 6.34/1.59 | | | | | | CLOSE: (69) is inconsistent. % 6.34/1.59 | | | | | | % 6.34/1.59 | | | | | Case 2: % 6.34/1.59 | | | | | | % 6.34/1.59 | | | | | | (70) all_47_0 = 0 % 6.34/1.59 | | | | | | % 6.34/1.59 | | | | | | REDUCE: (64), (70) imply: % 6.34/1.59 | | | | | | (71) cowlNothing(all_47_2) = 0 % 6.34/1.59 | | | | | | % 6.34/1.59 | | | | | | GROUND_INST: instantiating (1) with all_47_2, simplifying with (63), % 6.34/1.59 | | | | | | (71) gives: % 6.34/1.59 | | | | | | (72) $false % 6.34/1.59 | | | | | | % 6.34/1.59 | | | | | | CLOSE: (72) is inconsistent. % 6.34/1.59 | | | | | | % 6.34/1.59 | | | | | End of split % 6.34/1.59 | | | | | % 6.34/1.59 | | | | End of split % 6.34/1.59 | | | | % 6.34/1.59 | | | End of split % 6.34/1.59 | | | % 6.34/1.59 | | End of split % 6.34/1.59 | | % 6.34/1.59 | End of split % 6.34/1.59 | % 6.34/1.59 End of proof % 6.34/1.59 % SZS output end Proof for theBenchmark % 6.34/1.59 % 6.34/1.59 1005ms %------------------------------------------------------------------------------