%------------------------------------------------------------------------------ % File : Princess---230619 % Problem : KRS130+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 05:51:21 EDT 2023 % Result : Theorem 4.08s 1.29s % Output : Proof 5.49s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.12/0.12 % Problem : KRS130+1 : TPTP v8.1.2. Released v3.1.0. % 0.12/0.13 % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s % 0.12/0.34 % Computer : n009.cluster.edu % 0.12/0.34 % Model : x86_64 x86_64 % 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.12/0.34 % Memory : 8042.1875MB % 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.12/0.34 % CPULimit : 300 % 0.12/0.34 % WCLimit : 300 % 0.12/0.34 % DateTime : Mon Aug 28 01:54:05 EDT 2023 % 0.19/0.34 % CPUTime : % 0.62/0.60 ________ _____ % 0.62/0.60 ___ __ \_________(_)________________________________ % 0.62/0.60 __ /_/ /_ ___/_ /__ __ \ ___/ _ \_ ___/_ ___/ % 0.62/0.60 _ ____/_ / _ / _ / / / /__ / __/(__ )_(__ ) % 0.62/0.60 /_/ /_/ /_/ /_/ /_/\___/ \___//____/ /____/ % 0.62/0.60 % 0.62/0.60 A Theorem Prover for First-Order Logic modulo Linear Integer Arithmetic % 0.62/0.60 (2023-06-19) % 0.62/0.60 % 0.62/0.60 (c) Philipp Rümmer, 2009-2023 % 0.62/0.60 Contributors: Peter Backeman, Peter Baumgartner, Angelo Brillout, Zafer Esen, % 0.62/0.60 Amanda Stjerna. % 0.62/0.60 Free software under BSD-3-Clause. % 0.62/0.60 % 0.62/0.60 For more information, visit http://www.philipp.ruemmer.org/princess.shtml % 0.62/0.60 % 0.62/0.60 Loading /export/starexec/sandbox2/benchmark/theBenchmark.p ... % 0.62/0.61 Running up to 7 provers in parallel. % 0.62/0.63 Prover 0: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893 % 0.62/0.63 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1571432423 % 0.62/0.63 Prover 2: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1065072994 % 0.62/0.63 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696 % 0.62/0.63 Prover 3: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996 % 0.62/0.63 Prover 5: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288 % 0.62/0.63 Prover 6: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365 % 2.04/0.95 Prover 4: Preprocessing ... % 2.04/0.96 Prover 1: Preprocessing ... % 2.41/1.00 Prover 2: Preprocessing ... % 2.41/1.00 Prover 5: Preprocessing ... % 2.41/1.00 Prover 6: Preprocessing ... % 2.41/1.00 Prover 0: Preprocessing ... % 2.41/1.00 Prover 3: Preprocessing ... % 2.89/1.12 Prover 5: Proving ... % 2.89/1.13 Prover 2: Proving ... % 2.89/1.13 Prover 3: Constructing countermodel ... % 2.89/1.13 Prover 6: Proving ... % 2.89/1.13 Prover 1: Constructing countermodel ... % 2.89/1.14 Prover 0: Proving ... % 2.89/1.14 Prover 4: Constructing countermodel ... % 4.08/1.28 Prover 3: proved (662ms) % 4.08/1.28 % 4.08/1.29 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p % 4.08/1.29 % 4.08/1.29 Prover 5: stopped % 4.08/1.29 Prover 0: stopped % 4.08/1.29 Prover 6: stopped % 4.08/1.29 Prover 7: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470 % 4.08/1.29 Prover 8: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089 % 4.08/1.29 Prover 2: proved (677ms) % 4.08/1.29 % 4.08/1.29 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p % 4.08/1.30 % 4.08/1.31 Prover 10: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=919308125 % 4.08/1.31 Prover 11: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1509710984 % 4.08/1.31 Prover 8: Preprocessing ... % 4.08/1.31 Prover 7: Preprocessing ... % 4.08/1.32 Prover 10: Preprocessing ... % 4.08/1.32 Prover 11: Preprocessing ... % 4.08/1.32 Prover 13: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=1138197443 % 4.73/1.33 Prover 13: Preprocessing ... % 4.73/1.35 Prover 10: Warning: ignoring some quantifiers % 4.73/1.36 Prover 10: Constructing countermodel ... % 4.73/1.36 Prover 13: Warning: ignoring some quantifiers % 4.73/1.36 Prover 13: Constructing countermodel ... % 4.73/1.37 Prover 7: Warning: ignoring some quantifiers % 4.73/1.37 Prover 7: Constructing countermodel ... % 4.73/1.37 Prover 8: Warning: ignoring some quantifiers % 4.73/1.38 Prover 1: Found proof (size 49) % 4.73/1.38 Prover 1: proved (760ms) % 4.73/1.38 Prover 10: gave up % 4.73/1.38 Prover 4: stopped % 4.73/1.38 Prover 13: stopped % 4.73/1.38 Prover 7: stopped % 4.73/1.38 Prover 8: Constructing countermodel ... % 4.73/1.39 Prover 11: Constructing countermodel ... % 4.73/1.39 Prover 8: stopped % 5.11/1.39 Prover 11: stopped % 5.11/1.39 % 5.11/1.39 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p % 5.11/1.39 % 5.11/1.40 % SZS output start Proof for theBenchmark % 5.11/1.40 Assumptions after simplification: % 5.11/1.40 --------------------------------- % 5.11/1.40 % 5.11/1.40 (axiom_0) % 5.11/1.43 ! [v0: $i] : ! [v1: int] : (v1 = 0 | ~ (cowlThing(v0) = v1) | ~ $i(v0)) & % 5.11/1.43 ! [v0: $i] : ( ~ (cowlNothing(v0) = 0) | ~ $i(v0)) % 5.11/1.43 % 5.11/1.43 (axiom_1) % 5.11/1.43 ! [v0: $i] : ! [v1: int] : (v1 = 0 | ~ (xsd_string(v0) = v1) | ~ $i(v0) | % 5.11/1.43 xsd_integer(v0) = 0) & ! [v0: $i] : ( ~ (xsd_string(v0) = 0) | ~ $i(v0) | % 5.11/1.43 ? [v1: int] : ( ~ (v1 = 0) & xsd_integer(v0) = v1)) % 5.11/1.43 % 5.11/1.43 (axiom_2) % 5.11/1.43 ! [v0: $i] : ( ~ (cNothing(v0) = 0) | ~ $i(v0) | ! [v1: $i] : ( ~ (rp(v0, % 5.11/1.43 v1) = 0) | ~ $i(v1))) % 5.11/1.43 % 5.11/1.43 (axiom_3) % 5.11/1.43 ! [v0: $i] : ( ~ (cNothing(v0) = 0) | ~ $i(v0) | ? [v1: $i] : (rp(v0, v1) = % 5.11/1.43 0 & $i(v1))) % 5.11/1.43 % 5.11/1.43 (the_axiom) % 5.11/1.44 ? [v0: $i] : ? [v1: any] : ? [v2: any] : (cNothing(v0) = v1 & % 5.11/1.44 cowlNothing(v0) = v2 & $i(v0) & ((v2 = 0 & ~ (v1 = 0)) | (v1 = 0 & ~ (v2 = % 5.11/1.44 0)))) | ? [v0: $i] : ? [v1: any] : ? [v2: any] : (xsd_string(v0) = % 5.11/1.44 v1 & xsd_integer(v0) = v2 & $i(v0) & ((v2 = 0 & v1 = 0) | ( ~ (v2 = 0) & ~ % 5.11/1.44 (v1 = 0)))) | ? [v0: $i] : ? [v1: any] : ? [v2: any] : % 5.11/1.44 (cowlNothing(v0) = v2 & cowlThing(v0) = v1 & $i(v0) & ( ~ (v1 = 0) | v2 = 0)) % 5.11/1.44 % 5.11/1.44 (function-axioms) % 5.11/1.44 ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : ! % 5.11/1.44 [v3: $i] : (v1 = v0 | ~ (rp(v3, v2) = v1) | ~ (rp(v3, v2) = v0)) & ! [v0: % 5.11/1.44 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 | % 5.11/1.44 ~ (cNothing(v2) = v1) | ~ (cNothing(v2) = v0)) & ! [v0: MultipleValueBool] % 5.11/1.44 : ! [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~ (xsd_string(v2) = % 5.11/1.44 v1) | ~ (xsd_string(v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1: % 5.11/1.44 MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~ (xsd_integer(v2) = v1) | ~ % 5.11/1.44 (xsd_integer(v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1: % 5.11/1.44 MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~ (cowlNothing(v2) = v1) | ~ % 5.11/1.44 (cowlNothing(v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1: % 5.11/1.44 MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~ (cowlThing(v2) = v1) | ~ % 5.11/1.44 (cowlThing(v2) = v0)) % 5.11/1.44 % 5.11/1.44 Those formulas are unsatisfiable: % 5.11/1.44 --------------------------------- % 5.11/1.44 % 5.11/1.44 Begin of proof % 5.11/1.44 | % 5.11/1.45 | ALPHA: (axiom_0) implies: % 5.11/1.45 | (1) ! [v0: $i] : ( ~ (cowlNothing(v0) = 0) | ~ $i(v0)) % 5.11/1.45 | (2) ! [v0: $i] : ! [v1: int] : (v1 = 0 | ~ (cowlThing(v0) = v1) | ~ % 5.11/1.45 | $i(v0)) % 5.11/1.45 | % 5.11/1.45 | ALPHA: (axiom_1) implies: % 5.11/1.45 | (3) ! [v0: $i] : ( ~ (xsd_string(v0) = 0) | ~ $i(v0) | ? [v1: int] : ( ~ % 5.11/1.45 | (v1 = 0) & xsd_integer(v0) = v1)) % 5.11/1.45 | (4) ! [v0: $i] : ! [v1: int] : (v1 = 0 | ~ (xsd_string(v0) = v1) | ~ % 5.11/1.45 | $i(v0) | xsd_integer(v0) = 0) % 5.11/1.45 | % 5.11/1.45 | ALPHA: (function-axioms) implies: % 5.11/1.45 | (5) ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : % 5.11/1.45 | (v1 = v0 | ~ (xsd_integer(v2) = v1) | ~ (xsd_integer(v2) = v0)) % 5.11/1.45 | % 5.11/1.45 | BETA: splitting (the_axiom) gives: % 5.11/1.45 | % 5.11/1.45 | Case 1: % 5.11/1.45 | | % 5.11/1.45 | | (6) ? [v0: $i] : ? [v1: any] : ? [v2: any] : (cNothing(v0) = v1 & % 5.11/1.45 | | cowlNothing(v0) = v2 & $i(v0) & ((v2 = 0 & ~ (v1 = 0)) | (v1 = 0 & % 5.11/1.45 | | ~ (v2 = 0)))) % 5.11/1.45 | | % 5.11/1.45 | | DELTA: instantiating (6) with fresh symbols all_13_0, all_13_1, all_13_2 % 5.11/1.45 | | gives: % 5.11/1.45 | | (7) cNothing(all_13_2) = all_13_1 & cowlNothing(all_13_2) = all_13_0 & % 5.11/1.45 | | $i(all_13_2) & ((all_13_0 = 0 & ~ (all_13_1 = 0)) | (all_13_1 = 0 & % 5.11/1.45 | | ~ (all_13_0 = 0))) % 5.11/1.46 | | % 5.11/1.46 | | ALPHA: (7) implies: % 5.11/1.46 | | (8) $i(all_13_2) % 5.11/1.46 | | (9) cowlNothing(all_13_2) = all_13_0 % 5.11/1.46 | | (10) cNothing(all_13_2) = all_13_1 % 5.11/1.46 | | (11) (all_13_0 = 0 & ~ (all_13_1 = 0)) | (all_13_1 = 0 & ~ (all_13_0 = % 5.11/1.46 | | 0)) % 5.11/1.46 | | % 5.11/1.46 | | BETA: splitting (11) gives: % 5.11/1.46 | | % 5.11/1.46 | | Case 1: % 5.11/1.46 | | | % 5.11/1.46 | | | (12) all_13_0 = 0 & ~ (all_13_1 = 0) % 5.11/1.46 | | | % 5.11/1.46 | | | ALPHA: (12) implies: % 5.11/1.46 | | | (13) all_13_0 = 0 % 5.11/1.46 | | | % 5.11/1.46 | | | REDUCE: (9), (13) imply: % 5.11/1.46 | | | (14) cowlNothing(all_13_2) = 0 % 5.11/1.46 | | | % 5.45/1.46 | | | GROUND_INST: instantiating (1) with all_13_2, simplifying with (8), (14) % 5.45/1.46 | | | gives: % 5.45/1.46 | | | (15) $false % 5.45/1.46 | | | % 5.45/1.46 | | | CLOSE: (15) is inconsistent. % 5.45/1.46 | | | % 5.45/1.46 | | Case 2: % 5.45/1.46 | | | % 5.45/1.46 | | | (16) all_13_1 = 0 & ~ (all_13_0 = 0) % 5.45/1.46 | | | % 5.45/1.46 | | | ALPHA: (16) implies: % 5.45/1.46 | | | (17) all_13_1 = 0 % 5.45/1.46 | | | % 5.45/1.46 | | | REDUCE: (10), (17) imply: % 5.45/1.46 | | | (18) cNothing(all_13_2) = 0 % 5.45/1.46 | | | % 5.45/1.46 | | | GROUND_INST: instantiating (axiom_3) with all_13_2, simplifying with (8), % 5.45/1.46 | | | (18) gives: % 5.45/1.46 | | | (19) ? [v0: $i] : (rp(all_13_2, v0) = 0 & $i(v0)) % 5.45/1.46 | | | % 5.45/1.46 | | | GROUND_INST: instantiating (axiom_2) with all_13_2, simplifying with (8), % 5.45/1.46 | | | (18) gives: % 5.45/1.46 | | | (20) ! [v0: $i] : ( ~ (rp(all_13_2, v0) = 0) | ~ $i(v0)) % 5.45/1.46 | | | % 5.45/1.46 | | | DELTA: instantiating (19) with fresh symbol all_28_0 gives: % 5.45/1.46 | | | (21) rp(all_13_2, all_28_0) = 0 & $i(all_28_0) % 5.45/1.46 | | | % 5.45/1.46 | | | ALPHA: (21) implies: % 5.45/1.46 | | | (22) $i(all_28_0) % 5.45/1.46 | | | (23) rp(all_13_2, all_28_0) = 0 % 5.45/1.46 | | | % 5.45/1.46 | | | GROUND_INST: instantiating (20) with all_28_0, simplifying with (22), (23) % 5.45/1.46 | | | gives: % 5.45/1.46 | | | (24) $false % 5.45/1.46 | | | % 5.45/1.46 | | | CLOSE: (24) is inconsistent. % 5.45/1.46 | | | % 5.45/1.46 | | End of split % 5.45/1.46 | | % 5.45/1.46 | Case 2: % 5.45/1.46 | | % 5.45/1.47 | | (25) ? [v0: $i] : ? [v1: any] : ? [v2: any] : (xsd_string(v0) = v1 & % 5.45/1.47 | | xsd_integer(v0) = v2 & $i(v0) & ((v2 = 0 & v1 = 0) | ( ~ (v2 = 0) % 5.45/1.47 | | & ~ (v1 = 0)))) | ? [v0: $i] : ? [v1: any] : ? [v2: any] : % 5.45/1.47 | | (cowlNothing(v0) = v2 & cowlThing(v0) = v1 & $i(v0) & ( ~ (v1 = 0) | % 5.45/1.47 | | v2 = 0)) % 5.45/1.47 | | % 5.45/1.47 | | BETA: splitting (25) gives: % 5.45/1.47 | | % 5.45/1.47 | | Case 1: % 5.45/1.47 | | | % 5.49/1.47 | | | (26) ? [v0: $i] : ? [v1: any] : ? [v2: any] : (xsd_string(v0) = v1 & % 5.49/1.47 | | | xsd_integer(v0) = v2 & $i(v0) & ((v2 = 0 & v1 = 0) | ( ~ (v2 = % 5.49/1.47 | | | 0) & ~ (v1 = 0)))) % 5.49/1.47 | | | % 5.49/1.47 | | | DELTA: instantiating (26) with fresh symbols all_13_0, all_13_1, all_13_2 % 5.49/1.47 | | | gives: % 5.49/1.47 | | | (27) xsd_string(all_13_2) = all_13_1 & xsd_integer(all_13_2) = all_13_0 % 5.49/1.47 | | | & $i(all_13_2) & ((all_13_0 = 0 & all_13_1 = 0) | ( ~ (all_13_0 = % 5.49/1.47 | | | 0) & ~ (all_13_1 = 0))) % 5.49/1.47 | | | % 5.49/1.47 | | | ALPHA: (27) implies: % 5.49/1.47 | | | (28) $i(all_13_2) % 5.49/1.47 | | | (29) xsd_integer(all_13_2) = all_13_0 % 5.49/1.47 | | | (30) xsd_string(all_13_2) = all_13_1 % 5.49/1.47 | | | (31) (all_13_0 = 0 & all_13_1 = 0) | ( ~ (all_13_0 = 0) & ~ (all_13_1 % 5.49/1.47 | | | = 0)) % 5.49/1.47 | | | % 5.49/1.47 | | | GROUND_INST: instantiating (4) with all_13_2, all_13_1, simplifying with % 5.49/1.47 | | | (28), (30) gives: % 5.49/1.47 | | | (32) all_13_1 = 0 | xsd_integer(all_13_2) = 0 % 5.49/1.47 | | | % 5.49/1.47 | | | BETA: splitting (31) gives: % 5.49/1.47 | | | % 5.49/1.47 | | | Case 1: % 5.49/1.47 | | | | % 5.49/1.47 | | | | (33) all_13_0 = 0 & all_13_1 = 0 % 5.49/1.47 | | | | % 5.49/1.47 | | | | ALPHA: (33) implies: % 5.49/1.47 | | | | (34) all_13_1 = 0 % 5.49/1.47 | | | | (35) all_13_0 = 0 % 5.49/1.47 | | | | % 5.49/1.47 | | | | REDUCE: (30), (34) imply: % 5.49/1.47 | | | | (36) xsd_string(all_13_2) = 0 % 5.49/1.47 | | | | % 5.49/1.47 | | | | REDUCE: (29), (35) imply: % 5.49/1.47 | | | | (37) xsd_integer(all_13_2) = 0 % 5.49/1.47 | | | | % 5.49/1.47 | | | | GROUND_INST: instantiating (3) with all_13_2, simplifying with (28), % 5.49/1.47 | | | | (36) gives: % 5.49/1.47 | | | | (38) ? [v0: int] : ( ~ (v0 = 0) & xsd_integer(all_13_2) = v0) % 5.49/1.47 | | | | % 5.49/1.47 | | | | DELTA: instantiating (38) with fresh symbol all_27_0 gives: % 5.49/1.47 | | | | (39) ~ (all_27_0 = 0) & xsd_integer(all_13_2) = all_27_0 % 5.49/1.47 | | | | % 5.49/1.47 | | | | ALPHA: (39) implies: % 5.49/1.47 | | | | (40) ~ (all_27_0 = 0) % 5.49/1.47 | | | | (41) xsd_integer(all_13_2) = all_27_0 % 5.49/1.47 | | | | % 5.49/1.47 | | | | GROUND_INST: instantiating (5) with 0, all_27_0, all_13_2, simplifying % 5.49/1.47 | | | | with (37), (41) gives: % 5.49/1.47 | | | | (42) all_27_0 = 0 % 5.49/1.47 | | | | % 5.49/1.47 | | | | REDUCE: (40), (42) imply: % 5.49/1.47 | | | | (43) $false % 5.49/1.47 | | | | % 5.49/1.47 | | | | CLOSE: (43) is inconsistent. % 5.49/1.47 | | | | % 5.49/1.47 | | | Case 2: % 5.49/1.47 | | | | % 5.49/1.47 | | | | (44) ~ (all_13_0 = 0) & ~ (all_13_1 = 0) % 5.49/1.47 | | | | % 5.49/1.47 | | | | ALPHA: (44) implies: % 5.49/1.48 | | | | (45) ~ (all_13_1 = 0) % 5.49/1.48 | | | | (46) ~ (all_13_0 = 0) % 5.49/1.48 | | | | % 5.49/1.48 | | | | BETA: splitting (32) gives: % 5.49/1.48 | | | | % 5.49/1.48 | | | | Case 1: % 5.49/1.48 | | | | | % 5.49/1.48 | | | | | (47) xsd_integer(all_13_2) = 0 % 5.49/1.48 | | | | | % 5.49/1.48 | | | | | GROUND_INST: instantiating (5) with all_13_0, 0, all_13_2, simplifying % 5.49/1.48 | | | | | with (29), (47) gives: % 5.49/1.48 | | | | | (48) all_13_0 = 0 % 5.49/1.48 | | | | | % 5.49/1.48 | | | | | REDUCE: (46), (48) imply: % 5.49/1.48 | | | | | (49) $false % 5.49/1.48 | | | | | % 5.49/1.48 | | | | | CLOSE: (49) is inconsistent. % 5.49/1.48 | | | | | % 5.49/1.48 | | | | Case 2: % 5.49/1.48 | | | | | % 5.49/1.48 | | | | | (50) all_13_1 = 0 % 5.49/1.48 | | | | | % 5.49/1.48 | | | | | REDUCE: (45), (50) imply: % 5.49/1.48 | | | | | (51) $false % 5.49/1.48 | | | | | % 5.49/1.48 | | | | | CLOSE: (51) is inconsistent. % 5.49/1.48 | | | | | % 5.49/1.48 | | | | End of split % 5.49/1.48 | | | | % 5.49/1.48 | | | End of split % 5.49/1.48 | | | % 5.49/1.48 | | Case 2: % 5.49/1.48 | | | % 5.49/1.48 | | | (52) ? [v0: $i] : ? [v1: any] : ? [v2: any] : (cowlNothing(v0) = v2 % 5.49/1.48 | | | & cowlThing(v0) = v1 & $i(v0) & ( ~ (v1 = 0) | v2 = 0)) % 5.49/1.48 | | | % 5.49/1.48 | | | DELTA: instantiating (52) with fresh symbols all_13_0, all_13_1, all_13_2 % 5.49/1.48 | | | gives: % 5.49/1.48 | | | (53) cowlNothing(all_13_2) = all_13_0 & cowlThing(all_13_2) = all_13_1 % 5.49/1.48 | | | & $i(all_13_2) & ( ~ (all_13_1 = 0) | all_13_0 = 0) % 5.49/1.48 | | | % 5.49/1.48 | | | ALPHA: (53) implies: % 5.49/1.48 | | | (54) $i(all_13_2) % 5.49/1.48 | | | (55) cowlThing(all_13_2) = all_13_1 % 5.49/1.48 | | | (56) cowlNothing(all_13_2) = all_13_0 % 5.49/1.48 | | | (57) ~ (all_13_1 = 0) | all_13_0 = 0 % 5.49/1.48 | | | % 5.49/1.48 | | | GROUND_INST: instantiating (2) with all_13_2, all_13_1, simplifying with % 5.49/1.48 | | | (54), (55) gives: % 5.49/1.48 | | | (58) all_13_1 = 0 % 5.49/1.48 | | | % 5.49/1.48 | | | BETA: splitting (57) gives: % 5.49/1.48 | | | % 5.49/1.48 | | | Case 1: % 5.49/1.48 | | | | % 5.49/1.48 | | | | (59) ~ (all_13_1 = 0) % 5.49/1.48 | | | | % 5.49/1.48 | | | | REDUCE: (58), (59) imply: % 5.49/1.48 | | | | (60) $false % 5.49/1.48 | | | | % 5.49/1.48 | | | | CLOSE: (60) is inconsistent. % 5.49/1.48 | | | | % 5.49/1.48 | | | Case 2: % 5.49/1.48 | | | | % 5.49/1.48 | | | | (61) all_13_0 = 0 % 5.49/1.48 | | | | % 5.49/1.48 | | | | REDUCE: (56), (61) imply: % 5.49/1.48 | | | | (62) cowlNothing(all_13_2) = 0 % 5.49/1.48 | | | | % 5.49/1.48 | | | | GROUND_INST: instantiating (1) with all_13_2, simplifying with (54), % 5.49/1.48 | | | | (62) gives: % 5.49/1.48 | | | | (63) $false % 5.49/1.48 | | | | % 5.49/1.48 | | | | CLOSE: (63) is inconsistent. % 5.49/1.48 | | | | % 5.49/1.48 | | | End of split % 5.49/1.48 | | | % 5.49/1.48 | | End of split % 5.49/1.48 | | % 5.49/1.48 | End of split % 5.49/1.48 | % 5.49/1.48 End of proof % 5.49/1.48 % SZS output end Proof for theBenchmark % 5.49/1.48 % 5.49/1.48 884ms %------------------------------------------------------------------------------