%------------------------------------------------------------------------------ % File : Princess---230619 % Problem : KRS141+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 : n024.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 05:51:24 EDT 2023 % Result : Theorem 4.13s 1.34s % Output : Proof 5.58s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.06/0.12 % Problem : KRS141+1 : TPTP v8.1.2. Released v3.1.0. % 0.06/0.12 % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s % 0.12/0.33 % Computer : n024.cluster.edu % 0.12/0.33 % Model : x86_64 x86_64 % 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.12/0.33 % Memory : 8042.1875MB % 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.12/0.33 % CPULimit : 300 % 0.12/0.33 % WCLimit : 300 % 0.12/0.33 % DateTime : Mon Aug 28 01:49:38 EDT 2023 % 0.12/0.33 % CPUTime : % 0.18/0.59 ________ _____ % 0.18/0.59 ___ __ \_________(_)________________________________ % 0.18/0.59 __ /_/ /_ ___/_ /__ __ \ ___/ _ \_ ___/_ ___/ % 0.18/0.59 _ ____/_ / _ / _ / / / /__ / __/(__ )_(__ ) % 0.18/0.59 /_/ /_/ /_/ /_/ /_/\___/ \___//____/ /____/ % 0.18/0.59 % 0.18/0.59 A Theorem Prover for First-Order Logic modulo Linear Integer Arithmetic % 0.18/0.59 (2023-06-19) % 0.18/0.59 % 0.18/0.59 (c) Philipp Rümmer, 2009-2023 % 0.18/0.59 Contributors: Peter Backeman, Peter Baumgartner, Angelo Brillout, Zafer Esen, % 0.18/0.59 Amanda Stjerna. % 0.18/0.59 Free software under BSD-3-Clause. % 0.18/0.59 % 0.18/0.59 For more information, visit http://www.philipp.ruemmer.org/princess.shtml % 0.18/0.59 % 0.18/0.59 Loading /export/starexec/sandbox2/benchmark/theBenchmark.p ... % 0.18/0.60 Running up to 7 provers in parallel. % 0.18/0.63 Prover 0: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893 % 0.18/0.63 Prover 2: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1065072994 % 0.18/0.63 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1571432423 % 0.18/0.63 Prover 3: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996 % 0.18/0.63 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696 % 0.18/0.63 Prover 5: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288 % 0.18/0.63 Prover 6: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365 % 2.20/0.99 Prover 4: Preprocessing ... % 2.20/1.00 Prover 1: Preprocessing ... % 2.31/1.04 Prover 3: Preprocessing ... % 2.31/1.04 Prover 5: Preprocessing ... % 2.31/1.04 Prover 0: Preprocessing ... % 2.31/1.04 Prover 6: Preprocessing ... % 2.31/1.04 Prover 2: Preprocessing ... % 2.88/1.15 Prover 5: Proving ... % 2.88/1.15 Prover 2: Proving ... % 3.50/1.19 Prover 3: Constructing countermodel ... % 3.50/1.20 Prover 6: Proving ... % 3.50/1.22 Prover 1: Constructing countermodel ... % 3.50/1.22 Prover 4: Constructing countermodel ... % 3.50/1.22 Prover 0: Proving ... % 4.13/1.34 Prover 3: proved (721ms) % 4.13/1.34 % 4.13/1.34 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p % 4.13/1.34 % 4.13/1.34 Prover 6: stopped % 4.13/1.34 Prover 7: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470 % 4.13/1.34 Prover 5: stopped % 4.13/1.34 Prover 0: stopped % 4.13/1.35 Prover 10: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=919308125 % 4.13/1.35 Prover 8: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089 % 4.13/1.35 Prover 2: stopped % 4.13/1.36 Prover 11: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1509710984 % 4.13/1.36 Prover 7: Preprocessing ... % 4.13/1.36 Prover 13: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=1138197443 % 4.13/1.36 Prover 10: Preprocessing ... % 4.13/1.37 Prover 8: Preprocessing ... % 4.26/1.38 Prover 11: Preprocessing ... % 4.26/1.38 Prover 7: Warning: ignoring some quantifiers % 4.26/1.38 Prover 13: Preprocessing ... % 4.26/1.38 Prover 7: Constructing countermodel ... % 4.26/1.38 Prover 10: Warning: ignoring some quantifiers % 4.83/1.38 Prover 10: Constructing countermodel ... % 4.95/1.41 Prover 13: Warning: ignoring some quantifiers % 5.02/1.42 Prover 13: Constructing countermodel ... % 5.02/1.43 Prover 1: Found proof (size 49) % 5.02/1.43 Prover 1: proved (819ms) % 5.02/1.43 Prover 4: stopped % 5.02/1.43 Prover 10: stopped % 5.02/1.43 Prover 13: stopped % 5.02/1.43 Prover 7: stopped % 5.02/1.44 Prover 8: Warning: ignoring some quantifiers % 5.02/1.45 Prover 8: Constructing countermodel ... % 5.02/1.45 Prover 8: stopped % 5.02/1.46 Prover 11: Constructing countermodel ... % 5.02/1.46 Prover 11: stopped % 5.02/1.47 % 5.02/1.47 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p % 5.02/1.47 % 5.02/1.48 % SZS output start Proof for theBenchmark % 5.02/1.48 Assumptions after simplification: % 5.02/1.48 --------------------------------- % 5.02/1.48 % 5.02/1.48 (axiom_0) % 5.58/1.51 ! [v0: $i] : ! [v1: int] : (v1 = 0 | ~ (cowlThing(v0) = v1) | ~ $i(v0)) & % 5.58/1.51 ! [v0: $i] : ( ~ (cowlNothing(v0) = 0) | ~ $i(v0)) % 5.58/1.51 % 5.58/1.51 (axiom_1) % 5.58/1.51 ! [v0: $i] : ! [v1: int] : (v1 = 0 | ~ (xsd_string(v0) = v1) | ~ $i(v0) | % 5.58/1.51 xsd_integer(v0) = 0) & ! [v0: $i] : ( ~ (xsd_string(v0) = 0) | ~ $i(v0) | % 5.58/1.51 ? [v1: int] : ( ~ (v1 = 0) & xsd_integer(v0) = v1)) % 5.58/1.51 % 5.58/1.51 (axiom_2) % 5.58/1.51 ! [v0: $i] : ( ~ (cr(v0) = 0) | ~ $i(v0) | ! [v1: $i] : ( ~ (rp(v0, v1) = % 5.58/1.51 0) | ~ $i(v1) | cc(v1) = 0)) % 5.58/1.51 % 5.58/1.51 (axiom_3) % 5.58/1.52 cr(ii) = 0 & $i(ii) % 5.58/1.52 % 5.58/1.52 (axiom_5) % 5.58/1.52 rp(ii, io) = 0 & $i(io) & $i(ii) % 5.58/1.52 % 5.58/1.52 (axiom_6) % 5.58/1.52 cowlThing(io) = 0 & $i(io) % 5.58/1.52 % 5.58/1.52 (the_axiom) % 5.58/1.52 $i(io) & ? [v0: any] : ? [v1: any] : (cc(io) = v0 & cowlThing(io) = v1 & ( ~ % 5.58/1.52 (v1 = 0) | ~ (v0 = 0) | ? [v2: $i] : ? [v3: any] : ? [v4: any] : % 5.58/1.52 (xsd_string(v2) = v3 & xsd_integer(v2) = v4 & $i(v2) & ((v4 = 0 & v3 = 0) % 5.58/1.52 | ( ~ (v4 = 0) & ~ (v3 = 0)))) | ? [v2: $i] : ? [v3: any] : ? [v4: % 5.58/1.52 any] : (cowlNothing(v2) = v4 & cowlThing(v2) = v3 & $i(v2) & ( ~ (v3 = % 5.58/1.52 0) | v4 = 0)))) % 5.58/1.52 % 5.58/1.52 (function-axioms) % 5.58/1.53 ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : ! % 5.58/1.53 [v3: $i] : (v1 = v0 | ~ (rp(v3, v2) = v1) | ~ (rp(v3, v2) = v0)) & ! [v0: % 5.58/1.53 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 | % 5.58/1.53 ~ (cr(v2) = v1) | ~ (cr(v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1: % 5.58/1.53 MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~ (cc(v2) = v1) | ~ (cc(v2) % 5.58/1.53 = v0)) & ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: % 5.58/1.53 $i] : (v1 = v0 | ~ (xsd_string(v2) = v1) | ~ (xsd_string(v2) = v0)) & ! % 5.58/1.53 [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 % 5.58/1.53 | ~ (xsd_integer(v2) = v1) | ~ (xsd_integer(v2) = v0)) & ! [v0: % 5.58/1.53 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 | % 5.58/1.53 ~ (cowlNothing(v2) = v1) | ~ (cowlNothing(v2) = v0)) & ! [v0: % 5.58/1.53 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 | % 5.58/1.53 ~ (cowlThing(v2) = v1) | ~ (cowlThing(v2) = v0)) % 5.58/1.53 % 5.58/1.53 Further assumptions not needed in the proof: % 5.58/1.53 -------------------------------------------- % 5.58/1.53 axiom_4 % 5.58/1.53 % 5.58/1.53 Those formulas are unsatisfiable: % 5.58/1.53 --------------------------------- % 5.58/1.53 % 5.58/1.53 Begin of proof % 5.58/1.53 | % 5.58/1.53 | ALPHA: (axiom_0) implies: % 5.58/1.53 | (1) ! [v0: $i] : ( ~ (cowlNothing(v0) = 0) | ~ $i(v0)) % 5.58/1.53 | (2) ! [v0: $i] : ! [v1: int] : (v1 = 0 | ~ (cowlThing(v0) = v1) | ~ % 5.58/1.53 | $i(v0)) % 5.58/1.53 | % 5.58/1.53 | ALPHA: (axiom_1) implies: % 5.58/1.53 | (3) ! [v0: $i] : ( ~ (xsd_string(v0) = 0) | ~ $i(v0) | ? [v1: int] : ( ~ % 5.58/1.53 | (v1 = 0) & xsd_integer(v0) = v1)) % 5.58/1.53 | (4) ! [v0: $i] : ! [v1: int] : (v1 = 0 | ~ (xsd_string(v0) = v1) | ~ % 5.58/1.53 | $i(v0) | xsd_integer(v0) = 0) % 5.58/1.53 | % 5.58/1.53 | ALPHA: (axiom_3) implies: % 5.58/1.54 | (5) cr(ii) = 0 % 5.58/1.54 | % 5.58/1.54 | ALPHA: (axiom_5) implies: % 5.58/1.54 | (6) $i(ii) % 5.58/1.54 | (7) rp(ii, io) = 0 % 5.58/1.54 | % 5.58/1.54 | ALPHA: (axiom_6) implies: % 5.58/1.54 | (8) cowlThing(io) = 0 % 5.58/1.54 | % 5.58/1.54 | ALPHA: (the_axiom) implies: % 5.58/1.54 | (9) $i(io) % 5.58/1.54 | (10) ? [v0: any] : ? [v1: any] : (cc(io) = v0 & cowlThing(io) = v1 & ( ~ % 5.58/1.54 | (v1 = 0) | ~ (v0 = 0) | ? [v2: $i] : ? [v3: any] : ? [v4: any] % 5.58/1.54 | : (xsd_string(v2) = v3 & xsd_integer(v2) = v4 & $i(v2) & ((v4 = 0 % 5.58/1.54 | & v3 = 0) | ( ~ (v4 = 0) & ~ (v3 = 0)))) | ? [v2: $i] : ? % 5.58/1.54 | [v3: any] : ? [v4: any] : (cowlNothing(v2) = v4 & cowlThing(v2) = % 5.58/1.54 | v3 & $i(v2) & ( ~ (v3 = 0) | v4 = 0)))) % 5.58/1.54 | % 5.58/1.54 | ALPHA: (function-axioms) implies: % 5.58/1.54 | (11) ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] % 5.58/1.54 | : (v1 = v0 | ~ (cowlThing(v2) = v1) | ~ (cowlThing(v2) = v0)) % 5.58/1.54 | (12) ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] % 5.58/1.54 | : (v1 = v0 | ~ (xsd_integer(v2) = v1) | ~ (xsd_integer(v2) = v0)) % 5.58/1.54 | (13) ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] % 5.58/1.54 | : (v1 = v0 | ~ (cc(v2) = v1) | ~ (cc(v2) = v0)) % 5.58/1.54 | % 5.58/1.54 | DELTA: instantiating (10) with fresh symbols all_7_0, all_7_1 gives: % 5.58/1.55 | (14) cc(io) = all_7_1 & cowlThing(io) = all_7_0 & ( ~ (all_7_0 = 0) | ~ % 5.58/1.55 | (all_7_1 = 0) | ? [v0: $i] : ? [v1: any] : ? [v2: any] : % 5.58/1.55 | (xsd_string(v0) = v1 & xsd_integer(v0) = v2 & $i(v0) & ((v2 = 0 & v1 % 5.58/1.55 | = 0) | ( ~ (v2 = 0) & ~ (v1 = 0)))) | ? [v0: $i] : ? [v1: % 5.58/1.55 | any] : ? [v2: any] : (cowlNothing(v0) = v2 & cowlThing(v0) = v1 & % 5.58/1.55 | $i(v0) & ( ~ (v1 = 0) | v2 = 0))) % 5.58/1.55 | % 5.58/1.55 | ALPHA: (14) implies: % 5.58/1.55 | (15) cowlThing(io) = all_7_0 % 5.58/1.55 | (16) cc(io) = all_7_1 % 5.58/1.55 | (17) ~ (all_7_0 = 0) | ~ (all_7_1 = 0) | ? [v0: $i] : ? [v1: any] : ? % 5.58/1.55 | [v2: any] : (xsd_string(v0) = v1 & xsd_integer(v0) = v2 & $i(v0) & % 5.58/1.55 | ((v2 = 0 & v1 = 0) | ( ~ (v2 = 0) & ~ (v1 = 0)))) | ? [v0: $i] : % 5.58/1.55 | ? [v1: any] : ? [v2: any] : (cowlNothing(v0) = v2 & cowlThing(v0) = % 5.58/1.55 | v1 & $i(v0) & ( ~ (v1 = 0) | v2 = 0)) % 5.58/1.55 | % 5.58/1.55 | GROUND_INST: instantiating (11) with 0, all_7_0, io, simplifying with (8), % 5.58/1.55 | (15) gives: % 5.58/1.55 | (18) all_7_0 = 0 % 5.58/1.55 | % 5.58/1.55 | GROUND_INST: instantiating (axiom_2) with ii, simplifying with (5), (6) gives: % 5.58/1.55 | (19) ! [v0: $i] : ( ~ (rp(ii, v0) = 0) | ~ $i(v0) | cc(v0) = 0) % 5.58/1.55 | % 5.58/1.55 | GROUND_INST: instantiating (19) with io, simplifying with (7), (9) gives: % 5.58/1.55 | (20) cc(io) = 0 % 5.58/1.55 | % 5.58/1.55 | GROUND_INST: instantiating (13) with all_7_1, 0, io, simplifying with (16), % 5.58/1.55 | (20) gives: % 5.58/1.55 | (21) all_7_1 = 0 % 5.58/1.55 | % 5.58/1.55 | BETA: splitting (17) gives: % 5.58/1.55 | % 5.58/1.55 | Case 1: % 5.58/1.55 | | % 5.58/1.55 | | (22) ~ (all_7_0 = 0) % 5.58/1.55 | | % 5.58/1.55 | | REDUCE: (18), (22) imply: % 5.58/1.55 | | (23) $false % 5.58/1.55 | | % 5.58/1.55 | | CLOSE: (23) is inconsistent. % 5.58/1.55 | | % 5.58/1.55 | Case 2: % 5.58/1.55 | | % 5.58/1.55 | | (24) ~ (all_7_1 = 0) | ? [v0: $i] : ? [v1: any] : ? [v2: any] : % 5.58/1.55 | | (xsd_string(v0) = v1 & xsd_integer(v0) = v2 & $i(v0) & ((v2 = 0 & v1 % 5.58/1.55 | | = 0) | ( ~ (v2 = 0) & ~ (v1 = 0)))) | ? [v0: $i] : ? [v1: % 5.58/1.55 | | any] : ? [v2: any] : (cowlNothing(v0) = v2 & cowlThing(v0) = v1 & % 5.58/1.55 | | $i(v0) & ( ~ (v1 = 0) | v2 = 0)) % 5.58/1.55 | | % 5.58/1.55 | | BETA: splitting (24) gives: % 5.58/1.55 | | % 5.58/1.55 | | Case 1: % 5.58/1.55 | | | % 5.58/1.55 | | | (25) ~ (all_7_1 = 0) % 5.58/1.56 | | | % 5.58/1.56 | | | REDUCE: (21), (25) imply: % 5.58/1.56 | | | (26) $false % 5.58/1.56 | | | % 5.58/1.56 | | | CLOSE: (26) is inconsistent. % 5.58/1.56 | | | % 5.58/1.56 | | Case 2: % 5.58/1.56 | | | % 5.58/1.56 | | | (27) ? [v0: $i] : ? [v1: any] : ? [v2: any] : (xsd_string(v0) = v1 & % 5.58/1.56 | | | xsd_integer(v0) = v2 & $i(v0) & ((v2 = 0 & v1 = 0) | ( ~ (v2 = % 5.58/1.56 | | | 0) & ~ (v1 = 0)))) | ? [v0: $i] : ? [v1: any] : ? [v2: % 5.58/1.56 | | | any] : (cowlNothing(v0) = v2 & cowlThing(v0) = v1 & $i(v0) & ( ~ % 5.58/1.56 | | | (v1 = 0) | v2 = 0)) % 5.58/1.56 | | | % 5.58/1.56 | | | BETA: splitting (27) gives: % 5.58/1.56 | | | % 5.58/1.56 | | | Case 1: % 5.58/1.56 | | | | % 5.58/1.56 | | | | (28) ? [v0: $i] : ? [v1: any] : ? [v2: any] : (xsd_string(v0) = v1 % 5.58/1.56 | | | | & xsd_integer(v0) = v2 & $i(v0) & ((v2 = 0 & v1 = 0) | ( ~ (v2 % 5.58/1.56 | | | | = 0) & ~ (v1 = 0)))) % 5.58/1.56 | | | | % 5.58/1.56 | | | | DELTA: instantiating (28) with fresh symbols all_44_0, all_44_1, % 5.58/1.56 | | | | all_44_2 gives: % 5.58/1.56 | | | | (29) xsd_string(all_44_2) = all_44_1 & xsd_integer(all_44_2) = % 5.58/1.56 | | | | all_44_0 & $i(all_44_2) & ((all_44_0 = 0 & all_44_1 = 0) | ( ~ % 5.58/1.56 | | | | (all_44_0 = 0) & ~ (all_44_1 = 0))) % 5.58/1.56 | | | | % 5.58/1.56 | | | | ALPHA: (29) implies: % 5.58/1.56 | | | | (30) $i(all_44_2) % 5.58/1.56 | | | | (31) xsd_integer(all_44_2) = all_44_0 % 5.58/1.56 | | | | (32) xsd_string(all_44_2) = all_44_1 % 5.58/1.56 | | | | (33) (all_44_0 = 0 & all_44_1 = 0) | ( ~ (all_44_0 = 0) & ~ % 5.58/1.56 | | | | (all_44_1 = 0)) % 5.58/1.56 | | | | % 5.58/1.56 | | | | GROUND_INST: instantiating (4) with all_44_2, all_44_1, simplifying with % 5.58/1.56 | | | | (30), (32) gives: % 5.58/1.56 | | | | (34) all_44_1 = 0 | xsd_integer(all_44_2) = 0 % 5.58/1.56 | | | | % 5.58/1.56 | | | | BETA: splitting (33) gives: % 5.58/1.56 | | | | % 5.58/1.56 | | | | Case 1: % 5.58/1.56 | | | | | % 5.58/1.56 | | | | | (35) all_44_0 = 0 & all_44_1 = 0 % 5.58/1.56 | | | | | % 5.58/1.56 | | | | | ALPHA: (35) implies: % 5.58/1.56 | | | | | (36) all_44_1 = 0 % 5.58/1.56 | | | | | (37) all_44_0 = 0 % 5.58/1.56 | | | | | % 5.58/1.56 | | | | | REDUCE: (32), (36) imply: % 5.58/1.56 | | | | | (38) xsd_string(all_44_2) = 0 % 5.58/1.56 | | | | | % 5.58/1.56 | | | | | REDUCE: (31), (37) imply: % 5.58/1.56 | | | | | (39) xsd_integer(all_44_2) = 0 % 5.58/1.56 | | | | | % 5.58/1.56 | | | | | GROUND_INST: instantiating (3) with all_44_2, simplifying with (30), % 5.58/1.56 | | | | | (38) gives: % 5.58/1.56 | | | | | (40) ? [v0: int] : ( ~ (v0 = 0) & xsd_integer(all_44_2) = v0) % 5.58/1.56 | | | | | % 5.58/1.56 | | | | | DELTA: instantiating (40) with fresh symbol all_58_0 gives: % 5.58/1.56 | | | | | (41) ~ (all_58_0 = 0) & xsd_integer(all_44_2) = all_58_0 % 5.58/1.56 | | | | | % 5.58/1.56 | | | | | ALPHA: (41) implies: % 5.58/1.56 | | | | | (42) ~ (all_58_0 = 0) % 5.58/1.56 | | | | | (43) xsd_integer(all_44_2) = all_58_0 % 5.58/1.56 | | | | | % 5.58/1.56 | | | | | GROUND_INST: instantiating (12) with 0, all_58_0, all_44_2, % 5.58/1.56 | | | | | simplifying with (39), (43) gives: % 5.58/1.56 | | | | | (44) all_58_0 = 0 % 5.58/1.56 | | | | | % 5.58/1.56 | | | | | REDUCE: (42), (44) imply: % 5.58/1.56 | | | | | (45) $false % 5.58/1.56 | | | | | % 5.58/1.56 | | | | | CLOSE: (45) is inconsistent. % 5.58/1.56 | | | | | % 5.58/1.56 | | | | Case 2: % 5.58/1.56 | | | | | % 5.58/1.57 | | | | | (46) ~ (all_44_0 = 0) & ~ (all_44_1 = 0) % 5.58/1.57 | | | | | % 5.58/1.57 | | | | | ALPHA: (46) implies: % 5.58/1.57 | | | | | (47) ~ (all_44_1 = 0) % 5.58/1.57 | | | | | (48) ~ (all_44_0 = 0) % 5.58/1.57 | | | | | % 5.58/1.57 | | | | | BETA: splitting (34) gives: % 5.58/1.57 | | | | | % 5.58/1.57 | | | | | Case 1: % 5.58/1.57 | | | | | | % 5.58/1.57 | | | | | | (49) xsd_integer(all_44_2) = 0 % 5.58/1.57 | | | | | | % 5.58/1.57 | | | | | | GROUND_INST: instantiating (12) with all_44_0, 0, all_44_2, % 5.58/1.57 | | | | | | simplifying with (31), (49) gives: % 5.58/1.57 | | | | | | (50) all_44_0 = 0 % 5.58/1.57 | | | | | | % 5.58/1.57 | | | | | | REDUCE: (48), (50) imply: % 5.58/1.57 | | | | | | (51) $false % 5.58/1.57 | | | | | | % 5.58/1.57 | | | | | | CLOSE: (51) is inconsistent. % 5.58/1.57 | | | | | | % 5.58/1.57 | | | | | Case 2: % 5.58/1.57 | | | | | | % 5.58/1.57 | | | | | | (52) all_44_1 = 0 % 5.58/1.57 | | | | | | % 5.58/1.57 | | | | | | REDUCE: (47), (52) imply: % 5.58/1.57 | | | | | | (53) $false % 5.58/1.57 | | | | | | % 5.58/1.57 | | | | | | CLOSE: (53) is inconsistent. % 5.58/1.57 | | | | | | % 5.58/1.57 | | | | | End of split % 5.58/1.57 | | | | | % 5.58/1.57 | | | | End of split % 5.58/1.57 | | | | % 5.58/1.57 | | | Case 2: % 5.58/1.57 | | | | % 5.58/1.57 | | | | (54) ? [v0: $i] : ? [v1: any] : ? [v2: any] : (cowlNothing(v0) = % 5.58/1.57 | | | | v2 & cowlThing(v0) = v1 & $i(v0) & ( ~ (v1 = 0) | v2 = 0)) % 5.58/1.57 | | | | % 5.58/1.57 | | | | DELTA: instantiating (54) with fresh symbols all_44_0, all_44_1, % 5.58/1.57 | | | | all_44_2 gives: % 5.58/1.57 | | | | (55) cowlNothing(all_44_2) = all_44_0 & cowlThing(all_44_2) = % 5.58/1.57 | | | | all_44_1 & $i(all_44_2) & ( ~ (all_44_1 = 0) | all_44_0 = 0) % 5.58/1.57 | | | | % 5.58/1.57 | | | | ALPHA: (55) implies: % 5.58/1.57 | | | | (56) $i(all_44_2) % 5.58/1.57 | | | | (57) cowlThing(all_44_2) = all_44_1 % 5.58/1.57 | | | | (58) cowlNothing(all_44_2) = all_44_0 % 5.58/1.57 | | | | (59) ~ (all_44_1 = 0) | all_44_0 = 0 % 5.58/1.57 | | | | % 5.58/1.57 | | | | GROUND_INST: instantiating (2) with all_44_2, all_44_1, simplifying with % 5.58/1.57 | | | | (56), (57) gives: % 5.58/1.57 | | | | (60) all_44_1 = 0 % 5.58/1.57 | | | | % 5.58/1.57 | | | | BETA: splitting (59) gives: % 5.58/1.57 | | | | % 5.58/1.57 | | | | Case 1: % 5.58/1.57 | | | | | % 5.58/1.57 | | | | | (61) ~ (all_44_1 = 0) % 5.58/1.57 | | | | | % 5.58/1.57 | | | | | REDUCE: (60), (61) imply: % 5.58/1.57 | | | | | (62) $false % 5.58/1.57 | | | | | % 5.58/1.57 | | | | | CLOSE: (62) is inconsistent. % 5.58/1.57 | | | | | % 5.58/1.57 | | | | Case 2: % 5.58/1.57 | | | | | % 5.58/1.57 | | | | | (63) all_44_0 = 0 % 5.58/1.57 | | | | | % 5.58/1.57 | | | | | REDUCE: (58), (63) imply: % 5.58/1.57 | | | | | (64) cowlNothing(all_44_2) = 0 % 5.58/1.57 | | | | | % 5.58/1.57 | | | | | GROUND_INST: instantiating (1) with all_44_2, simplifying with (56), % 5.58/1.57 | | | | | (64) gives: % 5.58/1.57 | | | | | (65) $false % 5.58/1.57 | | | | | % 5.58/1.57 | | | | | CLOSE: (65) is inconsistent. % 5.58/1.57 | | | | | % 5.58/1.57 | | | | End of split % 5.58/1.57 | | | | % 5.58/1.57 | | | End of split % 5.58/1.57 | | | % 5.58/1.57 | | End of split % 5.58/1.57 | | % 5.58/1.57 | End of split % 5.58/1.57 | % 5.58/1.57 End of proof % 5.58/1.57 % SZS output end Proof for theBenchmark % 5.58/1.57 % 5.58/1.57 979ms %------------------------------------------------------------------------------