%------------------------------------------------------------------------------ % File : Princess---230619 % Problem : KRS162+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 05:51:30 EDT 2023 % Result : Theorem 11.61s 2.25s % Output : Proof 13.63s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.10/0.11 % Problem : KRS162+1 : TPTP v8.1.2. Released v3.1.0. % 0.10/0.11 % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s % 0.11/0.32 % Computer : n024.cluster.edu % 0.11/0.32 % Model : x86_64 x86_64 % 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.11/0.32 % Memory : 8042.1875MB % 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64 % 0.11/0.32 % CPULimit : 300 % 0.11/0.32 % WCLimit : 300 % 0.11/0.32 % DateTime : Mon Aug 28 02:26:08 EDT 2023 % 0.11/0.32 % CPUTime : % 0.18/0.60 ________ _____ % 0.18/0.60 ___ __ \_________(_)________________________________ % 0.18/0.60 __ /_/ /_ ___/_ /__ __ \ ___/ _ \_ ___/_ ___/ % 0.18/0.60 _ ____/_ / _ / _ / / / /__ / __/(__ )_(__ ) % 0.18/0.60 /_/ /_/ /_/ /_/ /_/\___/ \___//____/ /____/ % 0.18/0.60 % 0.18/0.60 A Theorem Prover for First-Order Logic modulo Linear Integer Arithmetic % 0.18/0.60 (2023-06-19) % 0.18/0.60 % 0.18/0.60 (c) Philipp Rümmer, 2009-2023 % 0.18/0.60 Contributors: Peter Backeman, Peter Baumgartner, Angelo Brillout, Zafer Esen, % 0.18/0.60 Amanda Stjerna. % 0.18/0.60 Free software under BSD-3-Clause. % 0.18/0.60 % 0.18/0.60 For more information, visit http://www.philipp.ruemmer.org/princess.shtml % 0.18/0.60 % 0.18/0.60 Loading /export/starexec/sandbox2/benchmark/theBenchmark.p ... % 0.58/0.61 Running up to 7 provers in parallel. % 0.58/0.62 Prover 0: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893 % 0.58/0.62 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1571432423 % 0.58/0.62 Prover 2: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1065072994 % 0.58/0.62 Prover 3: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996 % 0.58/0.62 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696 % 0.58/0.62 Prover 5: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288 % 0.58/0.62 Prover 6: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365 % 2.58/1.02 Prover 4: Preprocessing ... % 2.58/1.02 Prover 1: Preprocessing ... % 2.58/1.06 Prover 2: Preprocessing ... % 2.58/1.06 Prover 0: Preprocessing ... % 2.58/1.06 Prover 3: Preprocessing ... % 2.58/1.06 Prover 5: Preprocessing ... % 2.58/1.06 Prover 6: Preprocessing ... % 3.87/1.27 Prover 5: Proving ... % 3.87/1.28 Prover 2: Proving ... % 4.62/1.31 Prover 6: Proving ... % 4.91/1.36 Prover 0: Proving ... % 5.09/1.37 Prover 3: Constructing countermodel ... % 5.09/1.37 Prover 1: Constructing countermodel ... % 5.09/1.38 Prover 4: Constructing countermodel ... % 11.61/2.24 Prover 3: proved (1622ms) % 11.61/2.25 % 11.61/2.25 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p % 11.61/2.25 % 11.61/2.25 Prover 0: stopped % 11.61/2.25 Prover 2: stopped % 11.61/2.25 Prover 6: stopped % 11.61/2.25 Prover 7: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470 % 11.61/2.25 Prover 5: stopped % 11.61/2.25 Prover 8: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089 % 11.61/2.26 Prover 13: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=1138197443 % 11.87/2.27 Prover 11: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1509710984 % 11.87/2.27 Prover 10: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=919308125 % 11.87/2.30 Prover 10: Preprocessing ... % 11.87/2.31 Prover 7: Preprocessing ... % 11.87/2.31 Prover 8: Preprocessing ... % 11.87/2.31 Prover 13: Preprocessing ... % 11.87/2.31 Prover 11: Preprocessing ... % 12.37/2.34 Prover 7: Warning: ignoring some quantifiers % 12.37/2.35 Prover 7: Constructing countermodel ... % 12.37/2.35 Prover 10: Warning: ignoring some quantifiers % 12.37/2.35 Prover 13: Warning: ignoring some quantifiers % 12.37/2.36 Prover 10: Constructing countermodel ... % 12.61/2.36 Prover 13: Constructing countermodel ... % 12.61/2.38 Prover 7: gave up % 12.61/2.38 Prover 10: gave up % 12.61/2.38 Prover 19: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=-1780594085 % 12.61/2.39 Prover 16: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=completeFrugal -randomSeed=-2043353683 % 12.61/2.40 Prover 13: gave up % 12.61/2.42 Prover 19: Preprocessing ... % 12.61/2.42 Prover 16: Preprocessing ... % 12.61/2.42 Prover 4: Found proof (size 112) % 12.61/2.42 Prover 4: proved (1798ms) % 12.61/2.42 Prover 1: stopped % 12.61/2.42 Prover 8: Warning: ignoring some quantifiers % 12.61/2.43 Prover 11: Constructing countermodel ... % 13.11/2.43 Prover 8: Constructing countermodel ... % 13.11/2.43 Prover 11: stopped % 13.11/2.43 Prover 8: stopped % 13.11/2.43 Prover 16: stopped % 13.29/2.48 Prover 19: Warning: ignoring some quantifiers % 13.29/2.48 Prover 19: Constructing countermodel ... % 13.29/2.48 Prover 19: stopped % 13.29/2.48 % 13.29/2.48 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p % 13.29/2.48 % 13.29/2.50 % SZS output start Proof for theBenchmark % 13.29/2.50 Assumptions after simplification: % 13.29/2.50 --------------------------------- % 13.29/2.50 % 13.29/2.50 (axiom_0) % 13.29/2.52 ! [v0: $i] : ! [v1: int] : (v1 = 0 | ~ (cowlThing(v0) = v1) | ~ $i(v0)) & % 13.29/2.52 ! [v0: $i] : ( ~ (cowlNothing(v0) = 0) | ~ $i(v0)) % 13.29/2.52 % 13.29/2.52 (axiom_1) % 13.29/2.52 ! [v0: $i] : ! [v1: int] : (v1 = 0 | ~ (xsd_string(v0) = v1) | ~ $i(v0) | % 13.29/2.52 xsd_integer(v0) = 0) & ! [v0: $i] : ! [v1: int] : (v1 = 0 | ~ % 13.29/2.52 (xsd_integer(v0) = v1) | ~ $i(v0) | xsd_string(v0) = 0) & ! [v0: $i] : ( ~ % 13.29/2.52 (xsd_string(v0) = 0) | ~ $i(v0) | ? [v1: int] : ( ~ (v1 = 0) & % 13.29/2.52 xsd_integer(v0) = v1)) & ! [v0: $i] : ( ~ (xsd_integer(v0) = 0) | ~ % 13.29/2.52 $i(v0) | ? [v1: int] : ( ~ (v1 = 0) & xsd_string(v0) = v1)) % 13.29/2.52 % 13.29/2.52 (axiom_2) % 13.29/2.53 ! [v0: $i] : ! [v1: $i] : ( ~ (rp(v0, v1) = 0) | ~ $i(v1) | ~ $i(v0) | % 13.29/2.53 cA(v1) = 0) % 13.29/2.53 % 13.29/2.53 (axiom_3) % 13.29/2.53 ! [v0: $i] : ! [v1: $i] : ( ~ (rq(v0, v1) = 0) | ~ $i(v1) | ~ $i(v0) | % 13.29/2.53 cB(v1) = 0) % 13.29/2.53 % 13.29/2.53 (axiom_4) % 13.29/2.53 ! [v0: $i] : ( ~ (cB(v0) = 0) | ~ $i(v0) | ? [v1: int] : ( ~ (v1 = 0) & % 13.29/2.53 cA(v0) = v1)) & ! [v0: $i] : ( ~ (cA(v0) = 0) | ~ $i(v0) | ? [v1: int] % 13.29/2.53 : ( ~ (v1 = 0) & cB(v0) = v1)) % 13.29/2.53 % 13.29/2.53 (axiom_5) % 13.29/2.53 ! [v0: $i] : ! [v1: $i] : ! [v2: int] : (v2 = 0 | ~ (rr(v0, v1) = v2) | ~ % 13.29/2.53 $i(v1) | ~ $i(v0) | ? [v3: int] : ( ~ (v3 = 0) & rq(v0, v1) = v3)) & ! % 13.29/2.53 [v0: $i] : ! [v1: $i] : ( ~ (rq(v0, v1) = 0) | ~ $i(v1) | ~ $i(v0) | rr(v0, % 13.63/2.53 v1) = 0) % 13.63/2.53 % 13.63/2.53 (axiom_6) % 13.63/2.53 ! [v0: $i] : ! [v1: $i] : ! [v2: int] : (v2 = 0 | ~ (rr(v0, v1) = v2) | ~ % 13.63/2.53 $i(v1) | ~ $i(v0) | ? [v3: int] : ( ~ (v3 = 0) & rp(v0, v1) = v3)) & ! % 13.63/2.53 [v0: $i] : ! [v1: $i] : ( ~ (rp(v0, v1) = 0) | ~ $i(v1) | ~ $i(v0) | rr(v0, % 13.63/2.53 v1) = 0) % 13.63/2.53 % 13.63/2.53 (the_axiom) % 13.63/2.54 ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: int] : ? [v5: % 13.63/2.54 int] : ? [v6: int] : ? [v7: $i] : ? [v8: $i] : ? [v9: int] : ? [v10: % 13.63/2.54 int] : ? [v11: $i] : ? [v12: any] : ? [v13: any] : ? [v14: $i] : ? % 13.63/2.54 [v15: any] : ? [v16: any] : ($i(v14) & $i(v11) & $i(v8) & $i(v7) & $i(v3) & % 13.63/2.54 $i(v2) & $i(v1) & $i(v0) & ((v10 = 0 & v9 = 0 & v6 = 0 & v5 = 0 & v4 = 0 & % 13.63/2.54 ~ (v8 = v7) & ~ (v3 = v2) & ~ (v3 = v1) & ~ (v2 = v1) & rq(v0, v3) = % 13.63/2.54 0 & rq(v0, v2) = 0 & rq(v0, v1) = 0 & rp(v0, v8) = 0 & rp(v0, v7) = 0 & % 13.63/2.54 ! [v17: $i] : ! [v18: $i] : ! [v19: $i] : ! [v20: $i] : ! [v21: $i] % 13.63/2.54 : (v21 = v20 | v21 = v19 | v21 = v18 | v21 = v17 | v20 = v19 | v20 = v18 % 13.63/2.54 | v20 = v17 | v19 = v18 | v19 = v17 | v18 = v17 | ~ (rr(v0, v21) = 0) % 13.63/2.54 | ~ (rr(v0, v20) = 0) | ~ (rr(v0, v19) = 0) | ~ (rr(v0, v18) = 0) | % 13.63/2.54 ~ (rr(v0, v17) = 0) | ~ $i(v21) | ~ $i(v20) | ~ $i(v19) | ~ % 13.63/2.54 $i(v18) | ~ $i(v17))) | (xsd_string(v11) = v12 & xsd_integer(v11) = % 13.63/2.54 v13 & ((v13 = 0 & v12 = 0) | ( ~ (v13 = 0) & ~ (v12 = 0)))) | % 13.63/2.54 (cowlThing(v14) = v15 & cowlNothing(v14) = v16 & ( ~ (v15 = 0) | v16 = % 13.63/2.54 0)))) % 13.63/2.54 % 13.63/2.54 (function-axioms) % 13.63/2.54 ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : ! % 13.63/2.54 [v3: $i] : (v1 = v0 | ~ (rr(v3, v2) = v1) | ~ (rr(v3, v2) = v0)) & ! [v0: % 13.63/2.54 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : ! [v3: $i] % 13.63/2.54 : (v1 = v0 | ~ (rq(v3, v2) = v1) | ~ (rq(v3, v2) = v0)) & ! [v0: % 13.63/2.54 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : ! [v3: $i] % 13.63/2.54 : (v1 = v0 | ~ (rp(v3, v2) = v1) | ~ (rp(v3, v2) = v0)) & ! [v0: % 13.63/2.54 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 | % 13.63/2.54 ~ (xsd_string(v2) = v1) | ~ (xsd_string(v2) = v0)) & ! [v0: % 13.63/2.54 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 | % 13.63/2.54 ~ (xsd_integer(v2) = v1) | ~ (xsd_integer(v2) = v0)) & ! [v0: % 13.63/2.54 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 | % 13.63/2.54 ~ (cowlThing(v2) = v1) | ~ (cowlThing(v2) = v0)) & ! [v0: % 13.63/2.54 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 | % 13.63/2.54 ~ (cowlNothing(v2) = v1) | ~ (cowlNothing(v2) = v0)) & ! [v0: % 13.63/2.54 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 | % 13.63/2.54 ~ (cB(v2) = v1) | ~ (cB(v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1: % 13.63/2.54 MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~ (cA(v2) = v1) | ~ (cA(v2) % 13.63/2.54 = v0)) % 13.63/2.54 % 13.63/2.54 Further assumptions not needed in the proof: % 13.63/2.54 -------------------------------------------- % 13.63/2.54 cA_substitution_1, cB_substitution_1, cowlNothing_substitution_1, % 13.63/2.54 cowlThing_substitution_1, rp_substitution_1, rp_substitution_2, % 13.63/2.54 rq_substitution_1, rq_substitution_2, rr_substitution_1, rr_substitution_2, % 13.63/2.54 xsd_integer_substitution_1, xsd_string_substitution_1 % 13.63/2.54 % 13.63/2.54 Those formulas are unsatisfiable: % 13.63/2.54 --------------------------------- % 13.63/2.54 % 13.63/2.54 Begin of proof % 13.63/2.54 | % 13.63/2.54 | ALPHA: (axiom_0) implies: % 13.63/2.54 | (1) ! [v0: $i] : ( ~ (cowlNothing(v0) = 0) | ~ $i(v0)) % 13.63/2.54 | (2) ! [v0: $i] : ! [v1: int] : (v1 = 0 | ~ (cowlThing(v0) = v1) | ~ % 13.63/2.54 | $i(v0)) % 13.63/2.54 | % 13.63/2.54 | ALPHA: (axiom_1) implies: % 13.63/2.54 | (3) ! [v0: $i] : ( ~ (xsd_string(v0) = 0) | ~ $i(v0) | ? [v1: int] : ( ~ % 13.63/2.54 | (v1 = 0) & xsd_integer(v0) = v1)) % 13.63/2.54 | (4) ! [v0: $i] : ! [v1: int] : (v1 = 0 | ~ (xsd_integer(v0) = v1) | ~ % 13.63/2.54 | $i(v0) | xsd_string(v0) = 0) % 13.63/2.55 | (5) ! [v0: $i] : ! [v1: int] : (v1 = 0 | ~ (xsd_string(v0) = v1) | ~ % 13.63/2.55 | $i(v0) | xsd_integer(v0) = 0) % 13.63/2.55 | % 13.63/2.55 | ALPHA: (axiom_4) implies: % 13.63/2.55 | (6) ! [v0: $i] : ( ~ (cA(v0) = 0) | ~ $i(v0) | ? [v1: int] : ( ~ (v1 = % 13.63/2.55 | 0) & cB(v0) = v1)) % 13.63/2.55 | (7) ! [v0: $i] : ( ~ (cB(v0) = 0) | ~ $i(v0) | ? [v1: int] : ( ~ (v1 = % 13.63/2.55 | 0) & cA(v0) = v1)) % 13.63/2.55 | % 13.63/2.55 | ALPHA: (axiom_5) implies: % 13.63/2.55 | (8) ! [v0: $i] : ! [v1: $i] : ( ~ (rq(v0, v1) = 0) | ~ $i(v1) | ~ % 13.63/2.55 | $i(v0) | rr(v0, v1) = 0) % 13.63/2.55 | % 13.63/2.55 | ALPHA: (axiom_6) implies: % 13.63/2.55 | (9) ! [v0: $i] : ! [v1: $i] : ( ~ (rp(v0, v1) = 0) | ~ $i(v1) | ~ % 13.63/2.55 | $i(v0) | rr(v0, v1) = 0) % 13.63/2.55 | % 13.63/2.55 | ALPHA: (function-axioms) implies: % 13.63/2.55 | (10) ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] % 13.63/2.55 | : (v1 = v0 | ~ (cA(v2) = v1) | ~ (cA(v2) = v0)) % 13.63/2.55 | (11) ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] % 13.63/2.55 | : (v1 = v0 | ~ (cB(v2) = v1) | ~ (cB(v2) = v0)) % 13.63/2.55 | (12) ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] % 13.63/2.55 | : (v1 = v0 | ~ (xsd_integer(v2) = v1) | ~ (xsd_integer(v2) = v0)) % 13.63/2.55 | % 13.63/2.55 | DELTA: instantiating (the_axiom) with fresh symbols all_10_0, all_10_1, % 13.63/2.55 | all_10_2, all_10_3, all_10_4, all_10_5, all_10_6, all_10_7, all_10_8, % 13.63/2.55 | all_10_9, all_10_10, all_10_11, all_10_12, all_10_13, all_10_14, % 13.63/2.55 | all_10_15, all_10_16 gives: % 13.63/2.55 | (13) $i(all_10_2) & $i(all_10_5) & $i(all_10_8) & $i(all_10_9) & % 13.63/2.55 | $i(all_10_13) & $i(all_10_14) & $i(all_10_15) & $i(all_10_16) & % 13.63/2.55 | ((all_10_6 = 0 & all_10_7 = 0 & all_10_10 = 0 & all_10_11 = 0 & % 13.63/2.55 | all_10_12 = 0 & ~ (all_10_8 = all_10_9) & ~ (all_10_13 = % 13.63/2.55 | all_10_14) & ~ (all_10_13 = all_10_15) & ~ (all_10_14 = % 13.63/2.55 | all_10_15) & rq(all_10_16, all_10_13) = 0 & rq(all_10_16, % 13.63/2.55 | all_10_14) = 0 & rq(all_10_16, all_10_15) = 0 & rp(all_10_16, % 13.63/2.55 | all_10_8) = 0 & rp(all_10_16, all_10_9) = 0 & ! [v0: $i] : ! % 13.63/2.55 | [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : (v4 = v3 | v4 % 13.63/2.55 | = v2 | v4 = v1 | v4 = v0 | v3 = v2 | v3 = v1 | v3 = v0 | v2 = v1 % 13.63/2.55 | | v2 = v0 | v1 = v0 | ~ (rr(all_10_16, v4) = 0) | ~ % 13.63/2.55 | (rr(all_10_16, v3) = 0) | ~ (rr(all_10_16, v2) = 0) | ~ % 13.63/2.55 | (rr(all_10_16, v1) = 0) | ~ (rr(all_10_16, v0) = 0) | ~ $i(v4) % 13.63/2.55 | | ~ $i(v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0))) | % 13.63/2.55 | (xsd_string(all_10_5) = all_10_4 & xsd_integer(all_10_5) = all_10_3 % 13.63/2.55 | & ((all_10_3 = 0 & all_10_4 = 0) | ( ~ (all_10_3 = 0) & ~ % 13.63/2.55 | (all_10_4 = 0)))) | (cowlThing(all_10_2) = all_10_1 & % 13.63/2.55 | cowlNothing(all_10_2) = all_10_0 & ( ~ (all_10_1 = 0) | all_10_0 = % 13.63/2.55 | 0))) % 13.63/2.55 | % 13.63/2.55 | ALPHA: (13) implies: % 13.63/2.55 | (14) $i(all_10_16) % 13.63/2.55 | (15) $i(all_10_15) % 13.63/2.55 | (16) $i(all_10_14) % 13.63/2.55 | (17) $i(all_10_13) % 13.63/2.55 | (18) $i(all_10_9) % 13.63/2.55 | (19) $i(all_10_8) % 13.63/2.55 | (20) $i(all_10_5) % 13.63/2.55 | (21) $i(all_10_2) % 13.63/2.56 | (22) (all_10_6 = 0 & all_10_7 = 0 & all_10_10 = 0 & all_10_11 = 0 & % 13.63/2.56 | all_10_12 = 0 & ~ (all_10_8 = all_10_9) & ~ (all_10_13 = % 13.63/2.56 | all_10_14) & ~ (all_10_13 = all_10_15) & ~ (all_10_14 = % 13.63/2.56 | all_10_15) & rq(all_10_16, all_10_13) = 0 & rq(all_10_16, % 13.63/2.56 | all_10_14) = 0 & rq(all_10_16, all_10_15) = 0 & rp(all_10_16, % 13.63/2.56 | all_10_8) = 0 & rp(all_10_16, all_10_9) = 0 & ! [v0: $i] : ! % 13.63/2.56 | [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : (v4 = v3 | v4 = % 13.63/2.56 | v2 | v4 = v1 | v4 = v0 | v3 = v2 | v3 = v1 | v3 = v0 | v2 = v1 | % 13.63/2.56 | v2 = v0 | v1 = v0 | ~ (rr(all_10_16, v4) = 0) | ~ (rr(all_10_16, % 13.63/2.56 | v3) = 0) | ~ (rr(all_10_16, v2) = 0) | ~ (rr(all_10_16, v1) % 13.63/2.56 | = 0) | ~ (rr(all_10_16, v0) = 0) | ~ $i(v4) | ~ $i(v3) | ~ % 13.63/2.56 | $i(v2) | ~ $i(v1) | ~ $i(v0))) | (xsd_string(all_10_5) = % 13.63/2.56 | all_10_4 & xsd_integer(all_10_5) = all_10_3 & ((all_10_3 = 0 & % 13.63/2.56 | all_10_4 = 0) | ( ~ (all_10_3 = 0) & ~ (all_10_4 = 0)))) | % 13.63/2.56 | (cowlThing(all_10_2) = all_10_1 & cowlNothing(all_10_2) = all_10_0 & ( % 13.63/2.56 | ~ (all_10_1 = 0) | all_10_0 = 0)) % 13.63/2.56 | % 13.63/2.56 | BETA: splitting (22) gives: % 13.63/2.56 | % 13.63/2.56 | Case 1: % 13.63/2.56 | | % 13.63/2.56 | | (23) all_10_6 = 0 & all_10_7 = 0 & all_10_10 = 0 & all_10_11 = 0 & % 13.63/2.56 | | all_10_12 = 0 & ~ (all_10_8 = all_10_9) & ~ (all_10_13 = % 13.63/2.56 | | all_10_14) & ~ (all_10_13 = all_10_15) & ~ (all_10_14 = % 13.63/2.56 | | all_10_15) & rq(all_10_16, all_10_13) = 0 & rq(all_10_16, % 13.63/2.56 | | all_10_14) = 0 & rq(all_10_16, all_10_15) = 0 & rp(all_10_16, % 13.63/2.56 | | all_10_8) = 0 & rp(all_10_16, all_10_9) = 0 & ! [v0: $i] : ! % 13.63/2.56 | | [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : (v4 = v3 | v4 = % 13.63/2.56 | | v2 | v4 = v1 | v4 = v0 | v3 = v2 | v3 = v1 | v3 = v0 | v2 = v1 | % 13.63/2.56 | | v2 = v0 | v1 = v0 | ~ (rr(all_10_16, v4) = 0) | ~ (rr(all_10_16, % 13.63/2.56 | | v3) = 0) | ~ (rr(all_10_16, v2) = 0) | ~ (rr(all_10_16, v1) % 13.63/2.56 | | = 0) | ~ (rr(all_10_16, v0) = 0) | ~ $i(v4) | ~ $i(v3) | ~ % 13.63/2.56 | | $i(v2) | ~ $i(v1) | ~ $i(v0)) % 13.63/2.56 | | % 13.63/2.56 | | ALPHA: (23) implies: % 13.63/2.56 | | (24) ~ (all_10_14 = all_10_15) % 13.63/2.56 | | (25) ~ (all_10_13 = all_10_15) % 13.63/2.56 | | (26) ~ (all_10_13 = all_10_14) % 13.63/2.56 | | (27) ~ (all_10_8 = all_10_9) % 13.63/2.56 | | (28) rp(all_10_16, all_10_9) = 0 % 13.63/2.56 | | (29) rp(all_10_16, all_10_8) = 0 % 13.63/2.56 | | (30) rq(all_10_16, all_10_15) = 0 % 13.63/2.56 | | (31) rq(all_10_16, all_10_14) = 0 % 13.63/2.56 | | (32) rq(all_10_16, all_10_13) = 0 % 13.63/2.56 | | (33) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] % 13.63/2.56 | | : (v4 = v3 | v4 = v2 | v4 = v1 | v4 = v0 | v3 = v2 | v3 = v1 | v3 = % 13.63/2.56 | | v0 | v2 = v1 | v2 = v0 | v1 = v0 | ~ (rr(all_10_16, v4) = 0) | ~ % 13.63/2.56 | | (rr(all_10_16, v3) = 0) | ~ (rr(all_10_16, v2) = 0) | ~ % 13.63/2.56 | | (rr(all_10_16, v1) = 0) | ~ (rr(all_10_16, v0) = 0) | ~ $i(v4) | % 13.63/2.56 | | ~ $i(v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0)) % 13.63/2.56 | | % 13.63/2.56 | | GROUND_INST: instantiating (9) with all_10_16, all_10_9, simplifying with % 13.63/2.56 | | (14), (18), (28) gives: % 13.63/2.56 | | (34) rr(all_10_16, all_10_9) = 0 % 13.63/2.56 | | % 13.63/2.56 | | GROUND_INST: instantiating (axiom_2) with all_10_16, all_10_9, simplifying % 13.63/2.56 | | with (14), (18), (28) gives: % 13.63/2.56 | | (35) cA(all_10_9) = 0 % 13.63/2.56 | | % 13.63/2.56 | | GROUND_INST: instantiating (9) with all_10_16, all_10_8, simplifying with % 13.63/2.56 | | (14), (19), (29) gives: % 13.63/2.58 | | (36) rr(all_10_16, all_10_8) = 0 % 13.63/2.58 | | % 13.63/2.58 | | GROUND_INST: instantiating (axiom_2) with all_10_16, all_10_8, simplifying % 13.63/2.58 | | with (14), (19), (29) gives: % 13.63/2.58 | | (37) cA(all_10_8) = 0 % 13.63/2.58 | | % 13.63/2.58 | | GROUND_INST: instantiating (8) with all_10_16, all_10_15, simplifying with % 13.63/2.58 | | (14), (15), (30) gives: % 13.63/2.58 | | (38) rr(all_10_16, all_10_15) = 0 % 13.63/2.58 | | % 13.63/2.58 | | GROUND_INST: instantiating (axiom_3) with all_10_16, all_10_15, simplifying % 13.63/2.58 | | with (14), (15), (30) gives: % 13.63/2.58 | | (39) cB(all_10_15) = 0 % 13.63/2.58 | | % 13.63/2.58 | | GROUND_INST: instantiating (8) with all_10_16, all_10_14, simplifying with % 13.63/2.58 | | (14), (16), (31) gives: % 13.63/2.58 | | (40) rr(all_10_16, all_10_14) = 0 % 13.63/2.59 | | % 13.63/2.59 | | GROUND_INST: instantiating (axiom_3) with all_10_16, all_10_14, simplifying % 13.63/2.59 | | with (14), (16), (31) gives: % 13.63/2.59 | | (41) cB(all_10_14) = 0 % 13.63/2.59 | | % 13.63/2.59 | | GROUND_INST: instantiating (8) with all_10_16, all_10_13, simplifying with % 13.63/2.59 | | (14), (17), (32) gives: % 13.63/2.59 | | (42) rr(all_10_16, all_10_13) = 0 % 13.63/2.59 | | % 13.63/2.59 | | GROUND_INST: instantiating (axiom_3) with all_10_16, all_10_13, simplifying % 13.63/2.59 | | with (14), (17), (32) gives: % 13.63/2.59 | | (43) cB(all_10_13) = 0 % 13.63/2.59 | | % 13.63/2.59 | | GROUND_INST: instantiating (6) with all_10_9, simplifying with (18), (35) % 13.63/2.59 | | gives: % 13.63/2.59 | | (44) ? [v0: int] : ( ~ (v0 = 0) & cB(all_10_9) = v0) % 13.63/2.59 | | % 13.63/2.59 | | GROUND_INST: instantiating (6) with all_10_8, simplifying with (19), (37) % 13.63/2.59 | | gives: % 13.63/2.59 | | (45) ? [v0: int] : ( ~ (v0 = 0) & cB(all_10_8) = v0) % 13.63/2.59 | | % 13.63/2.59 | | GROUND_INST: instantiating (7) with all_10_14, simplifying with (16), (41) % 13.63/2.59 | | gives: % 13.63/2.59 | | (46) ? [v0: int] : ( ~ (v0 = 0) & cA(all_10_14) = v0) % 13.63/2.59 | | % 13.63/2.59 | | GROUND_INST: instantiating (7) with all_10_13, simplifying with (17), (43) % 13.63/2.59 | | gives: % 13.63/2.59 | | (47) ? [v0: int] : ( ~ (v0 = 0) & cA(all_10_13) = v0) % 13.63/2.59 | | % 13.63/2.59 | | GROUND_INST: instantiating (33) with all_10_15, all_10_14, all_10_13, % 13.63/2.59 | | all_10_9, all_10_8, simplifying with (15), (16), (17), (18), % 13.63/2.59 | | (19), (34), (36), (38), (40), (42) gives: % 13.63/2.59 | | (48) all_10_8 = all_10_9 | all_10_8 = all_10_13 | all_10_8 = all_10_14 | % 13.63/2.59 | | all_10_8 = all_10_15 | all_10_9 = all_10_13 | all_10_9 = all_10_14 | % 13.63/2.59 | | all_10_9 = all_10_15 | all_10_13 = all_10_14 | all_10_13 = all_10_15 % 13.63/2.59 | | | all_10_14 = all_10_15 % 13.63/2.59 | | % 13.63/2.59 | | DELTA: instantiating (47) with fresh symbol all_31_0 gives: % 13.63/2.59 | | (49) ~ (all_31_0 = 0) & cA(all_10_13) = all_31_0 % 13.63/2.59 | | % 13.63/2.59 | | ALPHA: (49) implies: % 13.63/2.59 | | (50) ~ (all_31_0 = 0) % 13.63/2.59 | | (51) cA(all_10_13) = all_31_0 % 13.63/2.59 | | % 13.63/2.59 | | DELTA: instantiating (46) with fresh symbol all_33_0 gives: % 13.63/2.59 | | (52) ~ (all_33_0 = 0) & cA(all_10_14) = all_33_0 % 13.63/2.59 | | % 13.63/2.59 | | ALPHA: (52) implies: % 13.63/2.59 | | (53) ~ (all_33_0 = 0) % 13.63/2.59 | | (54) cA(all_10_14) = all_33_0 % 13.63/2.59 | | % 13.63/2.59 | | DELTA: instantiating (45) with fresh symbol all_35_0 gives: % 13.63/2.59 | | (55) ~ (all_35_0 = 0) & cB(all_10_8) = all_35_0 % 13.63/2.59 | | % 13.63/2.59 | | ALPHA: (55) implies: % 13.63/2.59 | | (56) ~ (all_35_0 = 0) % 13.63/2.59 | | (57) cB(all_10_8) = all_35_0 % 13.63/2.59 | | % 13.63/2.59 | | DELTA: instantiating (44) with fresh symbol all_37_0 gives: % 13.63/2.59 | | (58) ~ (all_37_0 = 0) & cB(all_10_9) = all_37_0 % 13.63/2.59 | | % 13.63/2.59 | | ALPHA: (58) implies: % 13.63/2.59 | | (59) ~ (all_37_0 = 0) % 13.63/2.59 | | (60) cB(all_10_9) = all_37_0 % 13.63/2.59 | | % 13.63/2.59 | | BETA: splitting (48) gives: % 13.63/2.59 | | % 13.63/2.59 | | Case 1: % 13.63/2.59 | | | % 13.63/2.59 | | | (61) all_10_8 = all_10_9 % 13.63/2.59 | | | % 13.63/2.59 | | | REDUCE: (27), (61) imply: % 13.63/2.59 | | | (62) $false % 13.63/2.59 | | | % 13.63/2.59 | | | CLOSE: (62) is inconsistent. % 13.63/2.59 | | | % 13.63/2.59 | | Case 2: % 13.63/2.59 | | | % 13.63/2.59 | | | (63) all_10_8 = all_10_13 | all_10_8 = all_10_14 | all_10_8 = all_10_15 % 13.63/2.59 | | | | all_10_9 = all_10_13 | all_10_9 = all_10_14 | all_10_9 = % 13.63/2.59 | | | all_10_15 | all_10_13 = all_10_14 | all_10_13 = all_10_15 | % 13.63/2.59 | | | all_10_14 = all_10_15 % 13.63/2.59 | | | % 13.63/2.59 | | | BETA: splitting (63) gives: % 13.63/2.59 | | | % 13.63/2.59 | | | Case 1: % 13.63/2.59 | | | | % 13.63/2.60 | | | | (64) all_10_8 = all_10_13 % 13.63/2.60 | | | | % 13.63/2.60 | | | | REDUCE: (37), (64) imply: % 13.63/2.60 | | | | (65) cA(all_10_13) = 0 % 13.63/2.60 | | | | % 13.63/2.60 | | | | GROUND_INST: instantiating (10) with all_31_0, 0, all_10_13, simplifying % 13.63/2.60 | | | | with (51), (65) gives: % 13.63/2.60 | | | | (66) all_31_0 = 0 % 13.63/2.60 | | | | % 13.63/2.60 | | | | REDUCE: (50), (66) imply: % 13.63/2.60 | | | | (67) $false % 13.63/2.60 | | | | % 13.63/2.60 | | | | CLOSE: (67) is inconsistent. % 13.63/2.60 | | | | % 13.63/2.60 | | | Case 2: % 13.63/2.60 | | | | % 13.63/2.60 | | | | (68) all_10_8 = all_10_14 | all_10_8 = all_10_15 | all_10_9 = % 13.63/2.60 | | | | all_10_13 | all_10_9 = all_10_14 | all_10_9 = all_10_15 | % 13.63/2.60 | | | | all_10_13 = all_10_14 | all_10_13 = all_10_15 | all_10_14 = % 13.63/2.60 | | | | all_10_15 % 13.63/2.60 | | | | % 13.63/2.60 | | | | BETA: splitting (68) gives: % 13.63/2.60 | | | | % 13.63/2.60 | | | | Case 1: % 13.63/2.60 | | | | | % 13.63/2.60 | | | | | (69) all_10_8 = all_10_14 % 13.63/2.60 | | | | | % 13.63/2.60 | | | | | REDUCE: (37), (69) imply: % 13.63/2.60 | | | | | (70) cA(all_10_14) = 0 % 13.63/2.60 | | | | | % 13.63/2.60 | | | | | GROUND_INST: instantiating (10) with all_33_0, 0, all_10_14, % 13.63/2.60 | | | | | simplifying with (54), (70) gives: % 13.63/2.60 | | | | | (71) all_33_0 = 0 % 13.63/2.60 | | | | | % 13.63/2.60 | | | | | REDUCE: (53), (71) imply: % 13.63/2.60 | | | | | (72) $false % 13.63/2.60 | | | | | % 13.63/2.60 | | | | | CLOSE: (72) is inconsistent. % 13.63/2.60 | | | | | % 13.63/2.60 | | | | Case 2: % 13.63/2.60 | | | | | % 13.63/2.60 | | | | | (73) all_10_8 = all_10_15 | all_10_9 = all_10_13 | all_10_9 = % 13.63/2.60 | | | | | all_10_14 | all_10_9 = all_10_15 | all_10_13 = all_10_14 | % 13.63/2.60 | | | | | all_10_13 = all_10_15 | all_10_14 = all_10_15 % 13.63/2.60 | | | | | % 13.63/2.60 | | | | | BETA: splitting (73) gives: % 13.63/2.60 | | | | | % 13.63/2.60 | | | | | Case 1: % 13.63/2.60 | | | | | | % 13.63/2.60 | | | | | | (74) all_10_8 = all_10_15 % 13.63/2.60 | | | | | | % 13.63/2.60 | | | | | | REDUCE: (57), (74) imply: % 13.63/2.60 | | | | | | (75) cB(all_10_15) = all_35_0 % 13.63/2.60 | | | | | | % 13.63/2.60 | | | | | | GROUND_INST: instantiating (11) with 0, all_35_0, all_10_15, % 13.63/2.60 | | | | | | simplifying with (39), (75) gives: % 13.63/2.60 | | | | | | (76) all_35_0 = 0 % 13.63/2.60 | | | | | | % 13.63/2.60 | | | | | | REDUCE: (56), (76) imply: % 13.63/2.60 | | | | | | (77) $false % 13.63/2.60 | | | | | | % 13.63/2.60 | | | | | | CLOSE: (77) is inconsistent. % 13.63/2.60 | | | | | | % 13.63/2.60 | | | | | Case 2: % 13.63/2.60 | | | | | | % 13.63/2.60 | | | | | | (78) all_10_9 = all_10_13 | all_10_9 = all_10_14 | all_10_9 = % 13.63/2.60 | | | | | | all_10_15 | all_10_13 = all_10_14 | all_10_13 = all_10_15 | % 13.63/2.60 | | | | | | all_10_14 = all_10_15 % 13.63/2.60 | | | | | | % 13.63/2.60 | | | | | | BETA: splitting (78) gives: % 13.63/2.60 | | | | | | % 13.63/2.60 | | | | | | Case 1: % 13.63/2.60 | | | | | | | % 13.63/2.60 | | | | | | | (79) all_10_9 = all_10_13 % 13.63/2.60 | | | | | | | % 13.63/2.60 | | | | | | | REDUCE: (35), (79) imply: % 13.63/2.60 | | | | | | | (80) cA(all_10_13) = 0 % 13.63/2.60 | | | | | | | % 13.63/2.60 | | | | | | | GROUND_INST: instantiating (10) with all_31_0, 0, all_10_13, % 13.63/2.60 | | | | | | | simplifying with (51), (80) gives: % 13.63/2.60 | | | | | | | (81) all_31_0 = 0 % 13.63/2.60 | | | | | | | % 13.63/2.60 | | | | | | | REDUCE: (50), (81) imply: % 13.63/2.60 | | | | | | | (82) $false % 13.63/2.60 | | | | | | | % 13.63/2.60 | | | | | | | CLOSE: (82) is inconsistent. % 13.63/2.60 | | | | | | | % 13.63/2.60 | | | | | | Case 2: % 13.63/2.60 | | | | | | | % 13.63/2.60 | | | | | | | (83) all_10_9 = all_10_14 | all_10_9 = all_10_15 | all_10_13 = % 13.63/2.60 | | | | | | | all_10_14 | all_10_13 = all_10_15 | all_10_14 = all_10_15 % 13.63/2.60 | | | | | | | % 13.63/2.60 | | | | | | | BETA: splitting (83) gives: % 13.63/2.60 | | | | | | | % 13.63/2.60 | | | | | | | Case 1: % 13.63/2.60 | | | | | | | | % 13.63/2.60 | | | | | | | | (84) all_10_9 = all_10_14 % 13.63/2.60 | | | | | | | | % 13.63/2.60 | | | | | | | | REDUCE: (35), (84) imply: % 13.63/2.60 | | | | | | | | (85) cA(all_10_14) = 0 % 13.63/2.60 | | | | | | | | % 13.63/2.60 | | | | | | | | GROUND_INST: instantiating (10) with all_33_0, 0, all_10_14, % 13.63/2.60 | | | | | | | | simplifying with (54), (85) gives: % 13.63/2.60 | | | | | | | | (86) all_33_0 = 0 % 13.63/2.60 | | | | | | | | % 13.63/2.60 | | | | | | | | REDUCE: (53), (86) imply: % 13.63/2.60 | | | | | | | | (87) $false % 13.63/2.60 | | | | | | | | % 13.63/2.60 | | | | | | | | CLOSE: (87) is inconsistent. % 13.63/2.60 | | | | | | | | % 13.63/2.60 | | | | | | | Case 2: % 13.63/2.60 | | | | | | | | % 13.63/2.60 | | | | | | | | (88) all_10_9 = all_10_15 | all_10_13 = all_10_14 | all_10_13 % 13.63/2.60 | | | | | | | | = all_10_15 | all_10_14 = all_10_15 % 13.63/2.60 | | | | | | | | % 13.63/2.60 | | | | | | | | BETA: splitting (88) gives: % 13.63/2.60 | | | | | | | | % 13.63/2.60 | | | | | | | | Case 1: % 13.63/2.60 | | | | | | | | | % 13.63/2.60 | | | | | | | | | (89) all_10_9 = all_10_15 % 13.63/2.60 | | | | | | | | | % 13.63/2.60 | | | | | | | | | REDUCE: (60), (89) imply: % 13.63/2.60 | | | | | | | | | (90) cB(all_10_15) = all_37_0 % 13.63/2.60 | | | | | | | | | % 13.63/2.60 | | | | | | | | | GROUND_INST: instantiating (11) with 0, all_37_0, all_10_15, % 13.63/2.60 | | | | | | | | | simplifying with (39), (90) gives: % 13.63/2.60 | | | | | | | | | (91) all_37_0 = 0 % 13.63/2.60 | | | | | | | | | % 13.63/2.60 | | | | | | | | | REDUCE: (59), (91) imply: % 13.63/2.60 | | | | | | | | | (92) $false % 13.63/2.60 | | | | | | | | | % 13.63/2.60 | | | | | | | | | CLOSE: (92) is inconsistent. % 13.63/2.60 | | | | | | | | | % 13.63/2.60 | | | | | | | | Case 2: % 13.63/2.60 | | | | | | | | | % 13.63/2.60 | | | | | | | | | (93) all_10_13 = all_10_14 | all_10_13 = all_10_15 | % 13.63/2.60 | | | | | | | | | all_10_14 = all_10_15 % 13.63/2.60 | | | | | | | | | % 13.63/2.60 | | | | | | | | | BETA: splitting (93) gives: % 13.63/2.60 | | | | | | | | | % 13.63/2.60 | | | | | | | | | Case 1: % 13.63/2.60 | | | | | | | | | | % 13.63/2.60 | | | | | | | | | | (94) all_10_13 = all_10_14 % 13.63/2.60 | | | | | | | | | | % 13.63/2.60 | | | | | | | | | | REDUCE: (26), (94) imply: % 13.63/2.60 | | | | | | | | | | (95) $false % 13.63/2.60 | | | | | | | | | | % 13.63/2.60 | | | | | | | | | | CLOSE: (95) is inconsistent. % 13.63/2.60 | | | | | | | | | | % 13.63/2.60 | | | | | | | | | Case 2: % 13.63/2.60 | | | | | | | | | | % 13.63/2.60 | | | | | | | | | | (96) all_10_13 = all_10_15 | all_10_14 = all_10_15 % 13.63/2.60 | | | | | | | | | | % 13.63/2.60 | | | | | | | | | | BETA: splitting (96) gives: % 13.63/2.60 | | | | | | | | | | % 13.63/2.60 | | | | | | | | | | Case 1: % 13.63/2.60 | | | | | | | | | | | % 13.63/2.60 | | | | | | | | | | | (97) all_10_13 = all_10_15 % 13.63/2.60 | | | | | | | | | | | % 13.63/2.60 | | | | | | | | | | | REDUCE: (25), (97) imply: % 13.63/2.60 | | | | | | | | | | | (98) $false % 13.63/2.60 | | | | | | | | | | | % 13.63/2.60 | | | | | | | | | | | CLOSE: (98) is inconsistent. % 13.63/2.60 | | | | | | | | | | | % 13.63/2.60 | | | | | | | | | | Case 2: % 13.63/2.60 | | | | | | | | | | | % 13.63/2.60 | | | | | | | | | | | (99) all_10_14 = all_10_15 % 13.63/2.60 | | | | | | | | | | | % 13.63/2.60 | | | | | | | | | | | REDUCE: (24), (99) imply: % 13.63/2.60 | | | | | | | | | | | (100) $false % 13.63/2.60 | | | | | | | | | | | % 13.63/2.60 | | | | | | | | | | | CLOSE: (100) is inconsistent. % 13.63/2.60 | | | | | | | | | | | % 13.63/2.60 | | | | | | | | | | End of split % 13.63/2.60 | | | | | | | | | | % 13.63/2.60 | | | | | | | | | End of split % 13.63/2.60 | | | | | | | | | % 13.63/2.60 | | | | | | | | End of split % 13.63/2.60 | | | | | | | | % 13.63/2.60 | | | | | | | End of split % 13.63/2.60 | | | | | | | % 13.63/2.60 | | | | | | End of split % 13.63/2.60 | | | | | | % 13.63/2.60 | | | | | End of split % 13.63/2.60 | | | | | % 13.63/2.60 | | | | End of split % 13.63/2.60 | | | | % 13.63/2.60 | | | End of split % 13.63/2.60 | | | % 13.63/2.60 | | End of split % 13.63/2.60 | | % 13.63/2.60 | Case 2: % 13.63/2.60 | | % 13.63/2.60 | | (101) (xsd_string(all_10_5) = all_10_4 & xsd_integer(all_10_5) = all_10_3 % 13.63/2.60 | | & ((all_10_3 = 0 & all_10_4 = 0) | ( ~ (all_10_3 = 0) & ~ % 13.63/2.61 | | (all_10_4 = 0)))) | (cowlThing(all_10_2) = all_10_1 & % 13.63/2.61 | | cowlNothing(all_10_2) = all_10_0 & ( ~ (all_10_1 = 0) | all_10_0 % 13.63/2.61 | | = 0)) % 13.63/2.61 | | % 13.63/2.61 | | BETA: splitting (101) gives: % 13.63/2.61 | | % 13.63/2.61 | | Case 1: % 13.63/2.61 | | | % 13.63/2.61 | | | (102) xsd_string(all_10_5) = all_10_4 & xsd_integer(all_10_5) = % 13.63/2.61 | | | all_10_3 & ((all_10_3 = 0 & all_10_4 = 0) | ( ~ (all_10_3 = 0) & % 13.63/2.61 | | | ~ (all_10_4 = 0))) % 13.63/2.61 | | | % 13.63/2.61 | | | ALPHA: (102) implies: % 13.63/2.61 | | | (103) xsd_integer(all_10_5) = all_10_3 % 13.63/2.61 | | | (104) xsd_string(all_10_5) = all_10_4 % 13.63/2.61 | | | (105) (all_10_3 = 0 & all_10_4 = 0) | ( ~ (all_10_3 = 0) & ~ (all_10_4 % 13.63/2.61 | | | = 0)) % 13.63/2.61 | | | % 13.63/2.61 | | | GROUND_INST: instantiating (4) with all_10_5, all_10_3, simplifying with % 13.63/2.61 | | | (20), (103) gives: % 13.63/2.61 | | | (106) all_10_3 = 0 | xsd_string(all_10_5) = 0 % 13.63/2.61 | | | % 13.63/2.61 | | | GROUND_INST: instantiating (5) with all_10_5, all_10_4, simplifying with % 13.63/2.61 | | | (20), (104) gives: % 13.63/2.61 | | | (107) all_10_4 = 0 | xsd_integer(all_10_5) = 0 % 13.63/2.61 | | | % 13.63/2.61 | | | BETA: splitting (105) gives: % 13.63/2.61 | | | % 13.63/2.61 | | | Case 1: % 13.63/2.61 | | | | % 13.63/2.61 | | | | (108) all_10_3 = 0 & all_10_4 = 0 % 13.63/2.61 | | | | % 13.63/2.61 | | | | ALPHA: (108) implies: % 13.63/2.61 | | | | (109) all_10_4 = 0 % 13.63/2.61 | | | | (110) all_10_3 = 0 % 13.63/2.61 | | | | % 13.63/2.61 | | | | REDUCE: (104), (109) imply: % 13.63/2.61 | | | | (111) xsd_string(all_10_5) = 0 % 13.63/2.61 | | | | % 13.63/2.61 | | | | REDUCE: (103), (110) imply: % 13.63/2.61 | | | | (112) xsd_integer(all_10_5) = 0 % 13.63/2.61 | | | | % 13.63/2.61 | | | | REF_CLOSE: (3), (12), (20), (111), (112) are inconsistent by sub-proof % 13.63/2.61 | | | | #1. % 13.63/2.61 | | | | % 13.63/2.61 | | | Case 2: % 13.63/2.61 | | | | % 13.63/2.61 | | | | (113) ~ (all_10_3 = 0) & ~ (all_10_4 = 0) % 13.63/2.61 | | | | % 13.63/2.61 | | | | ALPHA: (113) implies: % 13.63/2.61 | | | | (114) ~ (all_10_4 = 0) % 13.63/2.61 | | | | (115) ~ (all_10_3 = 0) % 13.63/2.61 | | | | % 13.63/2.61 | | | | BETA: splitting (107) gives: % 13.63/2.61 | | | | % 13.63/2.61 | | | | Case 1: % 13.63/2.61 | | | | | % 13.63/2.61 | | | | | (116) xsd_integer(all_10_5) = 0 % 13.63/2.61 | | | | | % 13.63/2.61 | | | | | BETA: splitting (106) gives: % 13.63/2.61 | | | | | % 13.63/2.61 | | | | | Case 1: % 13.63/2.61 | | | | | | % 13.63/2.61 | | | | | | (117) xsd_string(all_10_5) = 0 % 13.63/2.61 | | | | | | % 13.63/2.61 | | | | | | REF_CLOSE: (3), (12), (20), (116), (117) are inconsistent by % 13.63/2.61 | | | | | | sub-proof #1. % 13.63/2.61 | | | | | | % 13.63/2.61 | | | | | Case 2: % 13.63/2.61 | | | | | | % 13.63/2.61 | | | | | | (118) all_10_3 = 0 % 13.63/2.61 | | | | | | % 13.63/2.61 | | | | | | REDUCE: (115), (118) imply: % 13.63/2.61 | | | | | | (119) $false % 13.63/2.61 | | | | | | % 13.63/2.61 | | | | | | CLOSE: (119) is inconsistent. % 13.63/2.61 | | | | | | % 13.63/2.61 | | | | | End of split % 13.63/2.61 | | | | | % 13.63/2.61 | | | | Case 2: % 13.63/2.61 | | | | | % 13.63/2.61 | | | | | (120) all_10_4 = 0 % 13.63/2.61 | | | | | % 13.63/2.61 | | | | | REDUCE: (114), (120) imply: % 13.63/2.61 | | | | | (121) $false % 13.63/2.61 | | | | | % 13.63/2.61 | | | | | CLOSE: (121) is inconsistent. % 13.63/2.61 | | | | | % 13.63/2.61 | | | | End of split % 13.63/2.61 | | | | % 13.63/2.61 | | | End of split % 13.63/2.61 | | | % 13.63/2.61 | | Case 2: % 13.63/2.61 | | | % 13.63/2.61 | | | (122) cowlThing(all_10_2) = all_10_1 & cowlNothing(all_10_2) = all_10_0 % 13.63/2.61 | | | & ( ~ (all_10_1 = 0) | all_10_0 = 0) % 13.63/2.61 | | | % 13.63/2.61 | | | ALPHA: (122) implies: % 13.63/2.61 | | | (123) cowlNothing(all_10_2) = all_10_0 % 13.63/2.61 | | | (124) cowlThing(all_10_2) = all_10_1 % 13.63/2.61 | | | (125) ~ (all_10_1 = 0) | all_10_0 = 0 % 13.63/2.61 | | | % 13.63/2.61 | | | GROUND_INST: instantiating (2) with all_10_2, all_10_1, simplifying with % 13.63/2.61 | | | (21), (124) gives: % 13.63/2.61 | | | (126) all_10_1 = 0 % 13.63/2.61 | | | % 13.63/2.61 | | | BETA: splitting (125) gives: % 13.63/2.61 | | | % 13.63/2.61 | | | Case 1: % 13.63/2.61 | | | | % 13.63/2.61 | | | | (127) ~ (all_10_1 = 0) % 13.63/2.61 | | | | % 13.63/2.61 | | | | REDUCE: (126), (127) imply: % 13.63/2.61 | | | | (128) $false % 13.63/2.61 | | | | % 13.63/2.61 | | | | CLOSE: (128) is inconsistent. % 13.63/2.61 | | | | % 13.63/2.61 | | | Case 2: % 13.63/2.61 | | | | % 13.63/2.61 | | | | (129) all_10_0 = 0 % 13.63/2.61 | | | | % 13.63/2.61 | | | | REDUCE: (123), (129) imply: % 13.63/2.61 | | | | (130) cowlNothing(all_10_2) = 0 % 13.63/2.61 | | | | % 13.63/2.61 | | | | GROUND_INST: instantiating (1) with all_10_2, simplifying with (21), % 13.63/2.61 | | | | (130) gives: % 13.63/2.61 | | | | (131) $false % 13.63/2.61 | | | | % 13.63/2.61 | | | | CLOSE: (131) is inconsistent. % 13.63/2.61 | | | | % 13.63/2.61 | | | End of split % 13.63/2.61 | | | % 13.63/2.61 | | End of split % 13.63/2.61 | | % 13.63/2.61 | End of split % 13.63/2.61 | % 13.63/2.61 End of proof % 13.63/2.61 % 13.63/2.61 Sub-proof #1 shows that the following formulas are inconsistent: % 13.63/2.61 ---------------------------------------------------------------- % 13.63/2.61 (1) ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : % 13.63/2.61 (v1 = v0 | ~ (xsd_integer(v2) = v1) | ~ (xsd_integer(v2) = v0)) % 13.63/2.61 (2) ! [v0: $i] : ( ~ (xsd_string(v0) = 0) | ~ $i(v0) | ? [v1: int] : ( ~ % 13.63/2.61 (v1 = 0) & xsd_integer(v0) = v1)) % 13.63/2.61 (3) xsd_integer(all_10_5) = 0 % 13.63/2.61 (4) $i(all_10_5) % 13.63/2.61 (5) xsd_string(all_10_5) = 0 % 13.63/2.61 % 13.63/2.61 Begin of proof % 13.63/2.61 | % 13.63/2.61 | GROUND_INST: instantiating (2) with all_10_5, simplifying with (4), (5) gives: % 13.63/2.61 | (6) ? [v0: int] : ( ~ (v0 = 0) & xsd_integer(all_10_5) = v0) % 13.63/2.61 | % 13.63/2.61 | DELTA: instantiating (6) with fresh symbol all_31_0 gives: % 13.63/2.61 | (7) ~ (all_31_0 = 0) & xsd_integer(all_10_5) = all_31_0 % 13.63/2.61 | % 13.63/2.61 | ALPHA: (7) implies: % 13.63/2.61 | (8) ~ (all_31_0 = 0) % 13.63/2.61 | (9) xsd_integer(all_10_5) = all_31_0 % 13.63/2.61 | % 13.63/2.61 | GROUND_INST: instantiating (1) with 0, all_31_0, all_10_5, simplifying with % 13.63/2.61 | (3), (9) gives: % 13.63/2.61 | (10) all_31_0 = 0 % 13.63/2.61 | % 13.63/2.61 | REDUCE: (8), (10) imply: % 13.63/2.62 | (11) $false % 13.63/2.62 | % 13.63/2.62 | CLOSE: (11) is inconsistent. % 13.63/2.62 | % 13.63/2.62 End of proof % 13.63/2.62 % SZS output end Proof for theBenchmark % 13.63/2.62 % 13.63/2.62 2016ms %------------------------------------------------------------------------------