%------------------------------------------------------------------------------ % File : Princess---230619 % Problem : MGT056+1 : TPTP v9.3.0. Released v2.4.0. % 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 : 8046.5625MB % OS : Linux 6.8.0-71-generic % CPULimit : 300s % WCLimit : 300s % DateTime : Tue Sep 8 06:17:27 AM UTC 2026 % Result : Theorem 11.67s 2.37s % Output : Proof 16.52s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.03 % Problem : MGT056+1 : TPTP v9.3.0. Released v2.4.0. % 0.00/0.04 % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s % 0.09/0.36 % Computer : n009.cluster.edu % 0.09/0.36 % Model : x86_64 x86_64 % 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.09/0.36 % Memory : 8046.5625MB % 0.09/0.36 % OS : Linux 6.8.0-71-generic % 0.09/0.36 % CPULimit : 300 % 0.09/0.36 % WCLimit : 300 % 0.09/0.36 % DateTime : Mon Sep 7 13:28:07 UTC 2026 % 0.02/0.36 % CPUTime : % 0.02/0.38 OpenJDK 64-Bit Server VM warning: Options -Xverify:none and -noverify were deprecated in JDK 13 and will likely be removed in a future release. % 0.67/0.73 ________ _____ % 0.67/0.73 ___ __ \_________(_)________________________________ % 0.67/0.73 __ /_/ /_ ___/_ /__ __ \ ___/ _ \_ ___/_ ___/ % 0.67/0.73 _ ____/_ / _ / _ / / / /__ / __/(__ )_(__ ) % 0.67/0.73 /_/ /_/ /_/ /_/ /_/\___/ \___//____/ /____/ % 0.67/0.73 % 0.67/0.73 A Theorem Prover for First-Order Logic modulo Linear Integer Arithmetic % 0.67/0.73 (2023-06-19) % 0.67/0.73 % 0.67/0.73 (c) Philipp Rümmer, 2009-2023 % 0.67/0.73 Contributors: Peter Backeman, Peter Baumgartner, Angelo Brillout, Zafer Esen, % 0.67/0.73 Amanda Stjerna. % 0.67/0.73 Free software under BSD-3-Clause. % 0.67/0.73 % 0.67/0.73 For more information, visit http://www.philipp.ruemmer.org/princess.shtml % 0.67/0.73 % 0.67/0.73 Loading /export/starexec/sandbox2/benchmark/theBenchmark.p ... % 0.67/0.75 Running up to 7 provers in parallel. % 0.67/0.76 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1571432423 % 0.67/0.76 Prover 2: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1065072994 % 0.67/0.76 Prover 3: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996 % 0.67/0.76 Prover 0: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893 % 0.67/0.76 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696 % 0.67/0.76 Prover 5: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288 % 0.67/0.76 Prover 6: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365 % 2.84/1.19 Prover 4: Preprocessing ... % 2.84/1.19 Prover 1: Preprocessing ... % 3.15/1.26 Prover 5: Preprocessing ... % 3.15/1.26 Prover 0: Preprocessing ... % 3.15/1.26 Prover 2: Preprocessing ... % 3.15/1.27 Prover 3: Preprocessing ... % 3.15/1.27 Prover 6: Preprocessing ... % 6.25/1.62 Prover 1: Warning: ignoring some quantifiers % 6.25/1.65 Prover 1: Constructing countermodel ... % 6.25/1.67 Prover 3: Warning: ignoring some quantifiers % 6.25/1.70 Prover 5: Proving ... % 7.04/1.70 Prover 3: Constructing countermodel ... % 7.04/1.74 Prover 2: Proving ... % 7.04/1.74 Prover 6: Proving ... % 8.60/1.94 Prover 0: Proving ... % 8.60/1.94 Prover 4: Constructing countermodel ... % 11.67/2.36 Prover 3: proved (1601ms) % 11.67/2.37 % 11.67/2.37 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p % 11.67/2.37 % 11.67/2.38 Prover 2: stopped % 11.67/2.38 Prover 5: stopped % 11.67/2.38 Prover 6: stopped % 11.67/2.38 Prover 0: stopped % 11.67/2.39 Prover 7: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470 % 11.67/2.39 Prover 8: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089 % 11.67/2.39 Prover 10: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=919308125 % 11.67/2.39 Prover 11: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1509710984 % 11.67/2.39 Prover 13: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=1138197443 % 12.48/2.48 Prover 10: Preprocessing ... % 12.48/2.49 Prover 8: Preprocessing ... % 12.48/2.49 Prover 7: Preprocessing ... % 13.25/2.53 Prover 13: Preprocessing ... % 13.25/2.53 Prover 11: Preprocessing ... % 14.04/2.61 Prover 7: Warning: ignoring some quantifiers % 14.04/2.62 Prover 8: Warning: ignoring some quantifiers % 14.04/2.62 Prover 10: Warning: ignoring some quantifiers % 14.04/2.62 Prover 7: Constructing countermodel ... % 14.04/2.63 Prover 8: Constructing countermodel ... % 14.04/2.63 Prover 10: Constructing countermodel ... % 14.04/2.65 Prover 13: Warning: ignoring some quantifiers % 14.04/2.69 Prover 13: Constructing countermodel ... % 14.83/2.71 Prover 1: Found proof (size 144) % 14.83/2.71 Prover 1: proved (1949ms) % 14.83/2.71 Prover 10: stopped % 14.83/2.71 Prover 7: stopped % 14.83/2.71 Prover 8: stopped % 14.83/2.71 Prover 4: stopped % 14.83/2.71 Prover 13: stopped % 14.83/2.77 Prover 11: Constructing countermodel ... % 14.83/2.78 Prover 11: stopped % 14.83/2.79 % 14.83/2.79 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p % 14.83/2.79 % 15.36/2.84 % SZS output start Proof for theBenchmark % 15.36/2.85 Assumptions after simplification: % 15.36/2.85 --------------------------------- % 15.36/2.85 % 15.36/2.85 (assumption_2) % 15.82/2.90 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : (v4 = v3 % 15.82/2.90 | ~ (hazard_of_mortality(v0, v2) = v4) | ~ (hazard_of_mortality(v0, v1) = % 15.82/2.90 v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v5: any] : ? [v6: any] : ? % 15.82/2.90 [v7: any] : (organization(v0) = v5 & has_immunity(v0, v2) = v7 & % 15.82/2.90 has_immunity(v0, v1) = v6 & ( ~ (v7 = 0) | ~ (v6 = 0) | ~ (v5 = 0)))) % 15.82/2.90 % 15.82/2.91 (assumption_3) % 15.82/2.91 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: % 15.82/2.91 int] : (v5 = 0 | ~ (hazard_of_mortality(v0, v2) = v3) | ~ % 15.82/2.91 (hazard_of_mortality(v0, v1) = v4) | ~ (greater(v3, v4) = v5) | ~ $i(v2) | % 15.82/2.91 ~ $i(v1) | ~ $i(v0) | ? [v6: any] : ? [v7: any] : ? [v8: any] : % 15.82/2.91 (organization(v0) = v6 & has_immunity(v0, v2) = v8 & has_immunity(v0, v1) = % 15.82/2.91 v7 & ( ~ (v7 = 0) | ~ (v6 = 0) | v8 = 0))) % 15.82/2.91 % 15.82/2.91 (definition_1) % 15.82/2.92 $i(eta) & ! [v0: $i] : ! [v1: int] : (v1 = 0 | ~ (has_endowment(v0) = v1) | % 15.82/2.92 ~ $i(v0) | ? [v2: any] : (organization(v0) = v2 & ? [v3: $i] : ? [v4: % 15.82/2.92 $i] : ? [v5: any] : ? [v6: any] : ? [v7: any] : (age(v0, v3) = v4 & % 15.82/2.92 has_immunity(v0, v3) = v6 & greater(v4, eta) = v7 & smaller_or_equal(v4, % 15.82/2.92 eta) = v5 & $i(v4) & $i(v3) & ( ~ (v2 = 0) | (v7 = 0 & v6 = 0) | (v5 = % 15.82/2.92 0 & ~ (v6 = 0)))))) & ! [v0: $i] : ( ~ (has_endowment(v0) = 0) | % 15.82/2.92 ~ $i(v0) | ( ! [v1: $i] : ! [v2: $i] : ( ~ (age(v0, v1) = v2) | ~ $i(v1) | % 15.82/2.92 ? [v3: any] : ? [v4: any] : (has_immunity(v0, v1) = v4 & greater(v2, % 15.82/2.92 eta) = v3 & ( ~ (v4 = 0) | ~ (v3 = 0)))) & ! [v1: $i] : ! [v2: % 15.82/2.92 $i] : ( ~ (age(v0, v1) = v2) | ~ $i(v1) | ? [v3: any] : ? [v4: any] : % 15.82/2.92 (has_immunity(v0, v1) = v4 & smaller_or_equal(v2, eta) = v3 & ( ~ (v3 = % 15.82/2.92 0) | v4 = 0))) & ? [v1: any] : (organization(v0) = v1 & ? [v2: % 15.82/2.92 $i] : (v1 = 0 | ~ $i(v2))))) % 15.82/2.92 % 15.82/2.92 (definition_greater_or_equal) % 15.82/2.92 ! [v0: $i] : ! [v1: $i] : ! [v2: int] : (v2 = 0 | ~ (greater_or_equal(v0, % 15.82/2.92 v1) = v2) | ~ $i(v1) | ~ $i(v0) | ( ~ (v1 = v0) & ? [v3: int] : ( ~ % 15.82/2.92 (v3 = 0) & greater(v0, v1) = v3))) & ! [v0: $i] : ! [v1: $i] : (v1 = % 15.82/2.92 v0 | ~ (greater_or_equal(v0, v1) = 0) | ~ $i(v1) | ~ $i(v0) | greater(v0, % 15.82/2.92 v1) = 0) % 15.82/2.92 % 15.82/2.93 (definition_smaller_or_equal) % 15.82/2.93 ! [v0: $i] : ! [v1: $i] : ! [v2: int] : (v2 = 0 | ~ (smaller_or_equal(v0, % 15.82/2.93 v1) = v2) | ~ $i(v1) | ~ $i(v0) | ( ~ (v1 = v0) & ? [v3: int] : ( ~ % 15.82/2.93 (v3 = 0) & smaller(v0, v1) = v3))) & ! [v0: $i] : ! [v1: $i] : (v1 = % 15.82/2.93 v0 | ~ (smaller_or_equal(v0, v1) = 0) | ~ $i(v1) | ~ $i(v0) | smaller(v0, % 15.82/2.93 v1) = 0) % 15.82/2.93 % 15.82/2.93 (lemma_9) % 15.82/2.93 $i(sigma) & $i(zero) & $i(eta) & ? [v0: any] : ? [v1: any] : % 15.82/2.93 (greater_or_equal(eta, sigma) = v0 & greater(sigma, zero) = v1 & ? [v2: $i] : % 15.82/2.93 ? [v3: $i] : ? [v4: $i] : ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : ? % 15.82/2.93 [v8: $i] : ? [v9: $i] : ? [v10: any] : ? [v11: $i] : (v1 = 0 & v0 = 0 & % 15.82/2.93 hazard_of_mortality(v2, v5) = v8 & hazard_of_mortality(v2, v4) = v9 & % 15.82/2.93 hazard_of_mortality(v2, v3) = v11 & has_endowment(v2) = 0 & % 15.82/2.93 organization(v2) = 0 & age(v2, v5) = v7 & age(v2, v4) = v6 & age(v2, v3) = % 15.82/2.93 zero & greater(v8, v9) = v10 & greater(v7, eta) = 0 & smaller_or_equal(v6, % 15.82/2.93 eta) = 0 & $i(v11) & $i(v9) & $i(v8) & $i(v7) & $i(v6) & $i(v5) & $i(v4) % 15.82/2.93 & $i(v3) & $i(v2) & ( ~ (v11 = v9) | ~ (v10 = 0)))) % 15.82/2.93 % 15.82/2.93 (meaning_postulate_greater_comparable) % 15.82/2.93 ! [v0: $i] : ! [v1: $i] : ! [v2: int] : (v2 = 0 | v1 = v0 | ~ (smaller(v0, % 15.82/2.93 v1) = v2) | ~ $i(v1) | ~ $i(v0) | greater(v0, v1) = 0) % 15.82/2.93 % 15.82/2.93 (meaning_postulate_greater_strict) % 15.82/2.94 ! [v0: $i] : ! [v1: $i] : ( ~ (greater(v0, v1) = 0) | ~ $i(v1) | ~ $i(v0) % 15.82/2.94 | ? [v2: int] : ( ~ (v2 = 0) & greater(v1, v0) = v2)) % 15.82/2.94 % 15.82/2.94 (meaning_postulate_greater_transitive) % 15.82/2.94 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: int] : (v3 = 0 | ~ % 15.82/2.94 (greater(v0, v2) = v3) | ~ (greater(v0, v1) = 0) | ~ $i(v2) | ~ $i(v1) | % 15.82/2.94 ~ $i(v0) | ? [v4: int] : ( ~ (v4 = 0) & greater(v1, v2) = v4)) % 15.82/2.94 % 15.82/2.94 (function-axioms) % 15.82/2.94 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 15.82/2.94 (hazard_of_mortality(v3, v2) = v1) | ~ (hazard_of_mortality(v3, v2) = v0)) % 15.82/2.94 & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 15.82/2.94 (age(v3, v2) = v1) | ~ (age(v3, v2) = v0)) & ! [v0: MultipleValueBool] : % 15.82/2.94 ! [v1: MultipleValueBool] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 15.82/2.94 (has_immunity(v3, v2) = v1) | ~ (has_immunity(v3, v2) = v0)) & ! [v0: % 15.82/2.94 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : ! [v3: $i] % 15.82/2.94 : (v1 = v0 | ~ (greater_or_equal(v3, v2) = v1) | ~ (greater_or_equal(v3, v2) % 15.82/2.94 = v0)) & ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: % 15.82/2.94 $i] : ! [v3: $i] : (v1 = v0 | ~ (greater(v3, v2) = v1) | ~ (greater(v3, % 15.82/2.94 v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : % 15.82/2.94 ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ (smaller_or_equal(v3, v2) = v1) | ~ % 15.82/2.94 (smaller_or_equal(v3, v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1: % 15.82/2.94 MultipleValueBool] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ (smaller(v3, % 15.82/2.94 v2) = v1) | ~ (smaller(v3, v2) = v0)) & ! [v0: MultipleValueBool] : ! % 15.82/2.94 [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~ (has_endowment(v2) = v1) % 15.82/2.94 | ~ (has_endowment(v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1: % 15.82/2.94 MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~ (organization(v2) = v1) | % 15.82/2.94 ~ (organization(v2) = v0)) % 15.82/2.94 % 15.82/2.94 Further assumptions not needed in the proof: % 15.82/2.94 -------------------------------------------- % 15.82/2.94 definition_smaller % 15.82/2.94 % 15.82/2.94 Those formulas are unsatisfiable: % 15.82/2.94 --------------------------------- % 15.82/2.94 % 15.82/2.94 Begin of proof % 15.82/2.95 | % 15.82/2.95 | ALPHA: (definition_smaller_or_equal) implies: % 15.82/2.95 | (1) ! [v0: $i] : ! [v1: $i] : ! [v2: int] : (v2 = 0 | ~ % 15.82/2.95 | (smaller_or_equal(v0, v1) = v2) | ~ $i(v1) | ~ $i(v0) | ( ~ (v1 = % 15.82/2.95 | v0) & ? [v3: int] : ( ~ (v3 = 0) & smaller(v0, v1) = v3))) % 15.82/2.95 | % 15.82/2.95 | ALPHA: (definition_greater_or_equal) implies: % 15.82/2.95 | (2) ! [v0: $i] : ! [v1: $i] : (v1 = v0 | ~ (greater_or_equal(v0, v1) = % 15.82/2.95 | 0) | ~ $i(v1) | ~ $i(v0) | greater(v0, v1) = 0) % 15.82/2.95 | % 15.82/2.95 | ALPHA: (definition_1) implies: % 15.82/2.95 | (3) ! [v0: $i] : ( ~ (has_endowment(v0) = 0) | ~ $i(v0) | ( ! [v1: $i] : % 15.82/2.95 | ! [v2: $i] : ( ~ (age(v0, v1) = v2) | ~ $i(v1) | ? [v3: any] : ? % 15.82/2.95 | [v4: any] : (has_immunity(v0, v1) = v4 & greater(v2, eta) = v3 & % 15.82/2.95 | ( ~ (v4 = 0) | ~ (v3 = 0)))) & ! [v1: $i] : ! [v2: $i] : ( ~ % 15.82/2.95 | (age(v0, v1) = v2) | ~ $i(v1) | ? [v3: any] : ? [v4: any] : % 15.82/2.95 | (has_immunity(v0, v1) = v4 & smaller_or_equal(v2, eta) = v3 & ( ~ % 15.82/2.95 | (v3 = 0) | v4 = 0))) & ? [v1: any] : (organization(v0) = v1 % 15.82/2.96 | & ? [v2: $i] : (v1 = 0 | ~ $i(v2))))) % 15.82/2.96 | % 15.82/2.96 | ALPHA: (lemma_9) implies: % 15.82/2.96 | (4) $i(eta) % 15.82/2.96 | (5) $i(zero) % 15.82/2.96 | (6) $i(sigma) % 15.82/2.96 | (7) ? [v0: any] : ? [v1: any] : (greater_or_equal(eta, sigma) = v0 & % 15.82/2.96 | greater(sigma, zero) = v1 & ? [v2: $i] : ? [v3: $i] : ? [v4: $i] : % 15.82/2.96 | ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : ? [v8: $i] : ? [v9: $i] : % 15.82/2.96 | ? [v10: any] : ? [v11: $i] : (v1 = 0 & v0 = 0 & % 15.82/2.96 | hazard_of_mortality(v2, v5) = v8 & hazard_of_mortality(v2, v4) = v9 % 15.82/2.96 | & hazard_of_mortality(v2, v3) = v11 & has_endowment(v2) = 0 & % 15.82/2.96 | organization(v2) = 0 & age(v2, v5) = v7 & age(v2, v4) = v6 & % 15.82/2.96 | age(v2, v3) = zero & greater(v8, v9) = v10 & greater(v7, eta) = 0 & % 15.82/2.96 | smaller_or_equal(v6, eta) = 0 & $i(v11) & $i(v9) & $i(v8) & $i(v7) % 15.82/2.96 | & $i(v6) & $i(v5) & $i(v4) & $i(v3) & $i(v2) & ( ~ (v11 = v9) | ~ % 15.82/2.96 | (v10 = 0)))) % 15.82/2.96 | % 15.82/2.96 | ALPHA: (function-axioms) implies: % 15.82/2.97 | (8) ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : % 15.82/2.97 | (v1 = v0 | ~ (organization(v2) = v1) | ~ (organization(v2) = v0)) % 15.82/2.97 | (9) ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : % 15.82/2.97 | ! [v3: $i] : (v1 = v0 | ~ (smaller_or_equal(v3, v2) = v1) | ~ % 15.82/2.97 | (smaller_or_equal(v3, v2) = v0)) % 15.82/2.97 | (10) ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] % 15.82/2.97 | : ! [v3: $i] : (v1 = v0 | ~ (greater(v3, v2) = v1) | ~ (greater(v3, % 15.82/2.97 | v2) = v0)) % 15.82/2.97 | (11) ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] % 15.82/2.97 | : ! [v3: $i] : (v1 = v0 | ~ (has_immunity(v3, v2) = v1) | ~ % 15.82/2.97 | (has_immunity(v3, v2) = v0)) % 15.82/2.97 | % 15.82/2.97 | DELTA: instantiating (7) with fresh symbols all_13_0, all_13_1 gives: % 15.82/2.97 | (12) greater_or_equal(eta, sigma) = all_13_1 & greater(sigma, zero) = % 15.82/2.97 | all_13_0 & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? % 15.82/2.97 | [v4: $i] : ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : ? [v8: any] : ? % 15.82/2.97 | [v9: $i] : (all_13_0 = 0 & all_13_1 = 0 & hazard_of_mortality(v0, v3) % 15.82/2.97 | = v6 & hazard_of_mortality(v0, v2) = v7 & hazard_of_mortality(v0, % 15.82/2.97 | v1) = v9 & has_endowment(v0) = 0 & organization(v0) = 0 & age(v0, % 15.82/2.98 | v3) = v5 & age(v0, v2) = v4 & age(v0, v1) = zero & greater(v6, v7) % 15.82/2.98 | = v8 & greater(v5, eta) = 0 & smaller_or_equal(v4, eta) = 0 & $i(v9) % 15.82/2.98 | & $i(v7) & $i(v6) & $i(v5) & $i(v4) & $i(v3) & $i(v2) & $i(v1) & % 15.82/2.98 | $i(v0) & ( ~ (v9 = v7) | ~ (v8 = 0))) % 15.82/2.98 | % 15.82/2.98 | ALPHA: (12) implies: % 15.82/2.98 | (13) greater(sigma, zero) = all_13_0 % 15.82/2.98 | (14) greater_or_equal(eta, sigma) = all_13_1 % 15.82/2.98 | (15) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] : % 15.82/2.98 | ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : ? [v8: any] : ? [v9: $i] : % 15.82/2.98 | (all_13_0 = 0 & all_13_1 = 0 & hazard_of_mortality(v0, v3) = v6 & % 15.82/2.98 | hazard_of_mortality(v0, v2) = v7 & hazard_of_mortality(v0, v1) = v9 % 15.82/2.98 | & has_endowment(v0) = 0 & organization(v0) = 0 & age(v0, v3) = v5 & % 15.82/2.98 | age(v0, v2) = v4 & age(v0, v1) = zero & greater(v6, v7) = v8 & % 15.82/2.98 | greater(v5, eta) = 0 & smaller_or_equal(v4, eta) = 0 & $i(v9) & % 15.82/2.98 | $i(v7) & $i(v6) & $i(v5) & $i(v4) & $i(v3) & $i(v2) & $i(v1) & % 15.82/2.98 | $i(v0) & ( ~ (v9 = v7) | ~ (v8 = 0))) % 15.82/2.98 | % 15.82/2.98 | DELTA: instantiating (15) with fresh symbols all_15_0, all_15_1, all_15_2, % 15.82/2.98 | all_15_3, all_15_4, all_15_5, all_15_6, all_15_7, all_15_8, all_15_9 % 15.82/2.98 | gives: % 15.82/2.98 | (16) all_13_0 = 0 & all_13_1 = 0 & hazard_of_mortality(all_15_9, all_15_6) % 15.82/2.98 | = all_15_3 & hazard_of_mortality(all_15_9, all_15_7) = all_15_2 & % 15.82/2.98 | hazard_of_mortality(all_15_9, all_15_8) = all_15_0 & % 15.82/2.98 | has_endowment(all_15_9) = 0 & organization(all_15_9) = 0 & % 15.82/2.98 | age(all_15_9, all_15_6) = all_15_4 & age(all_15_9, all_15_7) = % 15.82/2.98 | all_15_5 & age(all_15_9, all_15_8) = zero & greater(all_15_3, % 15.82/2.98 | all_15_2) = all_15_1 & greater(all_15_4, eta) = 0 & % 15.82/2.98 | smaller_or_equal(all_15_5, eta) = 0 & $i(all_15_0) & $i(all_15_2) & % 15.82/2.98 | $i(all_15_3) & $i(all_15_4) & $i(all_15_5) & $i(all_15_6) & % 15.82/2.98 | $i(all_15_7) & $i(all_15_8) & $i(all_15_9) & ( ~ (all_15_0 = all_15_2) % 15.82/2.98 | | ~ (all_15_1 = 0)) % 15.82/2.98 | % 15.82/2.98 | ALPHA: (16) implies: % 15.82/2.99 | (17) all_13_1 = 0 % 15.82/2.99 | (18) all_13_0 = 0 % 15.82/2.99 | (19) $i(all_15_9) % 15.82/2.99 | (20) $i(all_15_8) % 15.82/2.99 | (21) $i(all_15_7) % 15.82/2.99 | (22) $i(all_15_6) % 15.82/2.99 | (23) smaller_or_equal(all_15_5, eta) = 0 % 15.82/2.99 | (24) greater(all_15_4, eta) = 0 % 15.82/2.99 | (25) greater(all_15_3, all_15_2) = all_15_1 % 15.82/2.99 | (26) age(all_15_9, all_15_8) = zero % 15.82/2.99 | (27) age(all_15_9, all_15_7) = all_15_5 % 15.82/2.99 | (28) age(all_15_9, all_15_6) = all_15_4 % 15.82/2.99 | (29) organization(all_15_9) = 0 % 15.82/2.99 | (30) has_endowment(all_15_9) = 0 % 15.82/2.99 | (31) hazard_of_mortality(all_15_9, all_15_8) = all_15_0 % 15.82/2.99 | (32) hazard_of_mortality(all_15_9, all_15_7) = all_15_2 % 15.82/2.99 | (33) hazard_of_mortality(all_15_9, all_15_6) = all_15_3 % 15.82/2.99 | (34) ~ (all_15_0 = all_15_2) | ~ (all_15_1 = 0) % 15.82/2.99 | % 15.82/2.99 | REDUCE: (14), (17) imply: % 15.82/2.99 | (35) greater_or_equal(eta, sigma) = 0 % 15.82/2.99 | % 15.82/2.99 | REDUCE: (13), (18) imply: % 15.82/2.99 | (36) greater(sigma, zero) = 0 % 15.82/2.99 | % 15.82/2.99 | GROUND_INST: instantiating (meaning_postulate_greater_strict) with sigma, % 15.82/2.99 | zero, simplifying with (5), (6), (36) gives: % 15.82/3.00 | (37) ? [v0: int] : ( ~ (v0 = 0) & greater(zero, sigma) = v0) % 15.82/3.00 | % 15.82/3.00 | GROUND_INST: instantiating (2) with eta, sigma, simplifying with (4), (6), % 15.82/3.00 | (35) gives: % 15.82/3.00 | (38) sigma = eta | greater(eta, sigma) = 0 % 15.82/3.00 | % 15.82/3.00 | GROUND_INST: instantiating (3) with all_15_9, simplifying with (19), (30) % 15.82/3.00 | gives: % 15.82/3.00 | (39) ! [v0: $i] : ! [v1: $i] : ( ~ (age(all_15_9, v0) = v1) | ~ $i(v0) | % 15.82/3.00 | ? [v2: any] : ? [v3: any] : (has_immunity(all_15_9, v0) = v3 & % 15.82/3.00 | greater(v1, eta) = v2 & ( ~ (v3 = 0) | ~ (v2 = 0)))) & ! [v0: % 15.82/3.00 | $i] : ! [v1: $i] : ( ~ (age(all_15_9, v0) = v1) | ~ $i(v0) | ? % 15.82/3.00 | [v2: any] : ? [v3: any] : (has_immunity(all_15_9, v0) = v3 & % 15.82/3.00 | smaller_or_equal(v1, eta) = v2 & ( ~ (v2 = 0) | v3 = 0))) & ? % 15.82/3.00 | [v0: any] : (organization(all_15_9) = v0 & ? [v1: $i] : (v0 = 0 | ~ % 15.82/3.00 | $i(v1))) % 15.82/3.00 | % 15.82/3.00 | ALPHA: (39) implies: % 15.82/3.00 | (40) ! [v0: $i] : ! [v1: $i] : ( ~ (age(all_15_9, v0) = v1) | ~ $i(v0) | % 15.82/3.00 | ? [v2: any] : ? [v3: any] : (has_immunity(all_15_9, v0) = v3 & % 15.82/3.00 | smaller_or_equal(v1, eta) = v2 & ( ~ (v2 = 0) | v3 = 0))) % 15.82/3.00 | (41) ! [v0: $i] : ! [v1: $i] : ( ~ (age(all_15_9, v0) = v1) | ~ $i(v0) | % 15.82/3.00 | ? [v2: any] : ? [v3: any] : (has_immunity(all_15_9, v0) = v3 & % 15.82/3.00 | greater(v1, eta) = v2 & ( ~ (v3 = 0) | ~ (v2 = 0)))) % 15.82/3.00 | (42) ? [v0: any] : (organization(all_15_9) = v0 & ? [v1: $i] : (v0 = 0 | % 15.82/3.00 | ~ $i(v1))) % 15.82/3.00 | % 15.82/3.00 | GROUND_INST: instantiating (assumption_2) with all_15_9, all_15_8, all_15_7, % 15.82/3.00 | all_15_0, all_15_2, simplifying with (19), (20), (21), (31), (32) % 15.82/3.00 | gives: % 15.82/3.01 | (43) all_15_0 = all_15_2 | ? [v0: any] : ? [v1: any] : ? [v2: any] : % 15.82/3.01 | (organization(all_15_9) = v0 & has_immunity(all_15_9, all_15_7) = v2 & % 15.82/3.01 | has_immunity(all_15_9, all_15_8) = v1 & ( ~ (v2 = 0) | ~ (v1 = 0) | % 15.82/3.01 | ~ (v0 = 0))) % 15.82/3.01 | % 15.82/3.01 | GROUND_INST: instantiating (assumption_2) with all_15_9, all_15_7, all_15_8, % 15.82/3.01 | all_15_2, all_15_0, simplifying with (19), (20), (21), (31), (32) % 15.82/3.01 | gives: % 15.82/3.01 | (44) all_15_0 = all_15_2 | ? [v0: any] : ? [v1: any] : ? [v2: any] : % 15.82/3.01 | (organization(all_15_9) = v0 & has_immunity(all_15_9, all_15_7) = v1 & % 15.82/3.01 | has_immunity(all_15_9, all_15_8) = v2 & ( ~ (v2 = 0) | ~ (v1 = 0) | % 15.82/3.01 | ~ (v0 = 0))) % 15.82/3.01 | % 15.82/3.01 | GROUND_INST: instantiating (assumption_3) with all_15_9, all_15_7, all_15_6, % 15.82/3.01 | all_15_3, all_15_2, all_15_1, simplifying with (19), (21), (22), % 15.82/3.01 | (25), (32), (33) gives: % 15.82/3.01 | (45) all_15_1 = 0 | ? [v0: any] : ? [v1: any] : ? [v2: any] : % 15.82/3.01 | (organization(all_15_9) = v0 & has_immunity(all_15_9, all_15_6) = v2 & % 15.82/3.01 | has_immunity(all_15_9, all_15_7) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | % 15.82/3.01 | v2 = 0)) % 15.82/3.01 | % 15.82/3.01 | GROUND_INST: instantiating (41) with all_15_8, zero, simplifying with (20), % 15.82/3.01 | (26) gives: % 15.82/3.01 | (46) ? [v0: any] : ? [v1: any] : (has_immunity(all_15_9, all_15_8) = v1 & % 15.82/3.01 | greater(zero, eta) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0))) % 15.82/3.01 | % 15.82/3.01 | GROUND_INST: instantiating (40) with all_15_8, zero, simplifying with (20), % 15.82/3.01 | (26) gives: % 15.82/3.01 | (47) ? [v0: any] : ? [v1: any] : (has_immunity(all_15_9, all_15_8) = v1 & % 15.82/3.01 | smaller_or_equal(zero, eta) = v0 & ( ~ (v0 = 0) | v1 = 0)) % 15.82/3.01 | % 15.82/3.01 | GROUND_INST: instantiating (41) with all_15_7, all_15_5, simplifying with % 15.82/3.01 | (21), (27) gives: % 15.82/3.01 | (48) ? [v0: any] : ? [v1: any] : (has_immunity(all_15_9, all_15_7) = v1 & % 15.82/3.01 | greater(all_15_5, eta) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0))) % 15.82/3.01 | % 15.82/3.01 | GROUND_INST: instantiating (40) with all_15_7, all_15_5, simplifying with % 15.82/3.01 | (21), (27) gives: % 15.82/3.01 | (49) ? [v0: any] : ? [v1: any] : (has_immunity(all_15_9, all_15_7) = v1 & % 15.82/3.01 | smaller_or_equal(all_15_5, eta) = v0 & ( ~ (v0 = 0) | v1 = 0)) % 15.82/3.02 | % 15.82/3.02 | GROUND_INST: instantiating (41) with all_15_6, all_15_4, simplifying with % 15.82/3.02 | (22), (28) gives: % 15.82/3.02 | (50) ? [v0: any] : ? [v1: any] : (has_immunity(all_15_9, all_15_6) = v1 & % 15.82/3.02 | greater(all_15_4, eta) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0))) % 15.82/3.02 | % 15.82/3.02 | GROUND_INST: instantiating (40) with all_15_6, all_15_4, simplifying with % 15.82/3.02 | (22), (28) gives: % 15.82/3.02 | (51) ? [v0: any] : ? [v1: any] : (has_immunity(all_15_9, all_15_6) = v1 & % 15.82/3.02 | smaller_or_equal(all_15_4, eta) = v0 & ( ~ (v0 = 0) | v1 = 0)) % 15.82/3.02 | % 15.82/3.02 | DELTA: instantiating (37) with fresh symbol all_25_0 gives: % 15.82/3.02 | (52) ~ (all_25_0 = 0) & greater(zero, sigma) = all_25_0 % 15.82/3.02 | % 15.82/3.02 | ALPHA: (52) implies: % 15.82/3.02 | (53) ~ (all_25_0 = 0) % 15.82/3.02 | (54) greater(zero, sigma) = all_25_0 % 15.82/3.02 | % 15.82/3.02 | DELTA: instantiating (42) with fresh symbol all_27_0 gives: % 15.82/3.02 | (55) organization(all_15_9) = all_27_0 & ? [v0: $i] : (all_27_0 = 0 | ~ % 15.82/3.02 | $i(v0)) % 15.82/3.02 | % 15.82/3.02 | ALPHA: (55) implies: % 15.82/3.02 | (56) organization(all_15_9) = all_27_0 % 15.82/3.02 | % 15.82/3.02 | DELTA: instantiating (51) with fresh symbols all_29_0, all_29_1 gives: % 15.82/3.02 | (57) has_immunity(all_15_9, all_15_6) = all_29_0 & % 15.82/3.02 | smaller_or_equal(all_15_4, eta) = all_29_1 & ( ~ (all_29_1 = 0) | % 15.82/3.02 | all_29_0 = 0) % 15.82/3.02 | % 15.82/3.02 | ALPHA: (57) implies: % 15.82/3.02 | (58) has_immunity(all_15_9, all_15_6) = all_29_0 % 15.82/3.02 | % 15.82/3.02 | DELTA: instantiating (50) with fresh symbols all_31_0, all_31_1 gives: % 15.82/3.02 | (59) has_immunity(all_15_9, all_15_6) = all_31_0 & greater(all_15_4, eta) = % 15.82/3.02 | all_31_1 & ( ~ (all_31_0 = 0) | ~ (all_31_1 = 0)) % 15.82/3.02 | % 15.82/3.02 | ALPHA: (59) implies: % 15.82/3.02 | (60) greater(all_15_4, eta) = all_31_1 % 15.82/3.02 | (61) has_immunity(all_15_9, all_15_6) = all_31_0 % 15.82/3.02 | (62) ~ (all_31_0 = 0) | ~ (all_31_1 = 0) % 15.82/3.02 | % 15.82/3.02 | DELTA: instantiating (49) with fresh symbols all_33_0, all_33_1 gives: % 15.82/3.02 | (63) has_immunity(all_15_9, all_15_7) = all_33_0 & % 15.82/3.02 | smaller_or_equal(all_15_5, eta) = all_33_1 & ( ~ (all_33_1 = 0) | % 15.82/3.02 | all_33_0 = 0) % 15.82/3.02 | % 15.82/3.02 | ALPHA: (63) implies: % 15.82/3.02 | (64) smaller_or_equal(all_15_5, eta) = all_33_1 % 15.82/3.02 | (65) has_immunity(all_15_9, all_15_7) = all_33_0 % 15.82/3.02 | (66) ~ (all_33_1 = 0) | all_33_0 = 0 % 15.82/3.02 | % 15.82/3.02 | DELTA: instantiating (48) with fresh symbols all_35_0, all_35_1 gives: % 15.82/3.02 | (67) has_immunity(all_15_9, all_15_7) = all_35_0 & greater(all_15_5, eta) = % 15.82/3.02 | all_35_1 & ( ~ (all_35_0 = 0) | ~ (all_35_1 = 0)) % 15.82/3.03 | % 15.82/3.03 | ALPHA: (67) implies: % 15.82/3.03 | (68) has_immunity(all_15_9, all_15_7) = all_35_0 % 15.82/3.03 | % 15.82/3.03 | DELTA: instantiating (47) with fresh symbols all_37_0, all_37_1 gives: % 15.82/3.03 | (69) has_immunity(all_15_9, all_15_8) = all_37_0 & smaller_or_equal(zero, % 15.82/3.03 | eta) = all_37_1 & ( ~ (all_37_1 = 0) | all_37_0 = 0) % 15.82/3.03 | % 15.82/3.03 | ALPHA: (69) implies: % 15.82/3.03 | (70) smaller_or_equal(zero, eta) = all_37_1 % 15.82/3.03 | (71) has_immunity(all_15_9, all_15_8) = all_37_0 % 15.82/3.03 | (72) ~ (all_37_1 = 0) | all_37_0 = 0 % 15.82/3.03 | % 15.82/3.03 | DELTA: instantiating (46) with fresh symbols all_39_0, all_39_1 gives: % 15.82/3.03 | (73) has_immunity(all_15_9, all_15_8) = all_39_0 & greater(zero, eta) = % 15.82/3.03 | all_39_1 & ( ~ (all_39_0 = 0) | ~ (all_39_1 = 0)) % 15.82/3.03 | % 15.82/3.03 | ALPHA: (73) implies: % 15.82/3.03 | (74) has_immunity(all_15_9, all_15_8) = all_39_0 % 15.82/3.03 | % 15.82/3.03 | GROUND_INST: instantiating (9) with 0, all_33_1, eta, all_15_5, simplifying % 15.82/3.03 | with (23), (64) gives: % 15.82/3.03 | (75) all_33_1 = 0 % 15.82/3.03 | % 15.82/3.03 | GROUND_INST: instantiating (10) with 0, all_31_1, eta, all_15_4, simplifying % 15.82/3.03 | with (24), (60) gives: % 15.82/3.03 | (76) all_31_1 = 0 % 15.82/3.03 | % 15.82/3.03 | GROUND_INST: instantiating (11) with all_37_0, all_39_0, all_15_8, all_15_9, % 15.82/3.03 | simplifying with (71), (74) gives: % 15.82/3.03 | (77) all_39_0 = all_37_0 % 15.82/3.03 | % 15.82/3.03 | GROUND_INST: instantiating (11) with all_33_0, all_35_0, all_15_7, all_15_9, % 15.82/3.03 | simplifying with (65), (68) gives: % 15.82/3.03 | (78) all_35_0 = all_33_0 % 15.82/3.03 | % 15.82/3.03 | GROUND_INST: instantiating (11) with all_29_0, all_31_0, all_15_6, all_15_9, % 15.82/3.03 | simplifying with (58), (61) gives: % 15.82/3.03 | (79) all_31_0 = all_29_0 % 15.82/3.03 | % 15.82/3.03 | GROUND_INST: instantiating (8) with 0, all_27_0, all_15_9, simplifying with % 15.82/3.03 | (29), (56) gives: % 15.82/3.03 | (80) all_27_0 = 0 % 15.82/3.03 | % 15.82/3.03 | BETA: splitting (62) gives: % 15.82/3.03 | % 15.82/3.03 | Case 1: % 15.82/3.03 | | % 15.82/3.03 | | (81) ~ (all_31_0 = 0) % 15.82/3.03 | | % 15.82/3.03 | | REDUCE: (79), (81) imply: % 15.82/3.03 | | (82) ~ (all_29_0 = 0) % 15.82/3.03 | | % 15.82/3.03 | | BETA: splitting (66) gives: % 15.82/3.03 | | % 15.82/3.03 | | Case 1: % 15.82/3.03 | | | % 15.82/3.03 | | | (83) ~ (all_33_1 = 0) % 15.82/3.03 | | | % 15.82/3.03 | | | REDUCE: (75), (83) imply: % 15.82/3.03 | | | (84) $false % 15.82/3.04 | | | % 15.82/3.04 | | | CLOSE: (84) is inconsistent. % 15.82/3.04 | | | % 15.82/3.04 | | Case 2: % 15.82/3.04 | | | % 15.82/3.04 | | | (85) all_33_0 = 0 % 15.82/3.04 | | | % 15.82/3.04 | | | REDUCE: (65), (85) imply: % 15.82/3.04 | | | (86) has_immunity(all_15_9, all_15_7) = 0 % 15.82/3.04 | | | % 15.82/3.04 | | | BETA: splitting (45) gives: % 15.82/3.04 | | | % 15.82/3.04 | | | Case 1: % 15.82/3.04 | | | | % 15.82/3.04 | | | | (87) all_15_1 = 0 % 15.82/3.04 | | | | % 15.82/3.04 | | | | BETA: splitting (34) gives: % 15.82/3.04 | | | | % 15.82/3.04 | | | | Case 1: % 15.82/3.04 | | | | | % 15.82/3.04 | | | | | (88) ~ (all_15_1 = 0) % 15.82/3.04 | | | | | % 15.82/3.04 | | | | | REDUCE: (87), (88) imply: % 15.82/3.04 | | | | | (89) $false % 15.82/3.04 | | | | | % 15.82/3.04 | | | | | CLOSE: (89) is inconsistent. % 15.82/3.04 | | | | | % 15.82/3.04 | | | | Case 2: % 15.82/3.04 | | | | | % 15.82/3.04 | | | | | (90) ~ (all_15_0 = all_15_2) % 15.82/3.04 | | | | | % 15.82/3.04 | | | | | BETA: splitting (44) gives: % 15.82/3.04 | | | | | % 15.82/3.04 | | | | | Case 1: % 15.82/3.04 | | | | | | % 15.82/3.04 | | | | | | (91) all_15_0 = all_15_2 % 15.82/3.04 | | | | | | % 15.82/3.04 | | | | | | REDUCE: (90), (91) imply: % 15.82/3.04 | | | | | | (92) $false % 15.82/3.04 | | | | | | % 15.82/3.04 | | | | | | CLOSE: (92) is inconsistent. % 15.82/3.04 | | | | | | % 15.82/3.04 | | | | | Case 2: % 15.82/3.04 | | | | | | % 15.82/3.04 | | | | | | (93) ? [v0: any] : ? [v1: any] : ? [v2: any] : % 15.82/3.04 | | | | | | (organization(all_15_9) = v0 & has_immunity(all_15_9, % 15.82/3.04 | | | | | | all_15_7) = v1 & has_immunity(all_15_9, all_15_8) = v2 & % 15.82/3.04 | | | | | | ( ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 = 0))) % 15.82/3.04 | | | | | | % 15.82/3.04 | | | | | | DELTA: instantiating (93) with fresh symbols all_70_0, all_70_1, % 15.82/3.04 | | | | | | all_70_2 gives: % 15.82/3.04 | | | | | | (94) organization(all_15_9) = all_70_2 & has_immunity(all_15_9, % 15.82/3.04 | | | | | | all_15_7) = all_70_1 & has_immunity(all_15_9, all_15_8) = % 15.82/3.04 | | | | | | all_70_0 & ( ~ (all_70_0 = 0) | ~ (all_70_1 = 0) | ~ % 15.82/3.04 | | | | | | (all_70_2 = 0)) % 15.82/3.04 | | | | | | % 15.82/3.04 | | | | | | ALPHA: (94) implies: % 15.82/3.04 | | | | | | (95) has_immunity(all_15_9, all_15_8) = all_70_0 % 15.82/3.04 | | | | | | (96) has_immunity(all_15_9, all_15_7) = all_70_1 % 15.82/3.04 | | | | | | (97) organization(all_15_9) = all_70_2 % 15.82/3.04 | | | | | | (98) ~ (all_70_0 = 0) | ~ (all_70_1 = 0) | ~ (all_70_2 = 0) % 15.82/3.04 | | | | | | % 15.82/3.04 | | | | | | BETA: splitting (43) gives: % 15.82/3.04 | | | | | | % 15.82/3.04 | | | | | | Case 1: % 15.82/3.04 | | | | | | | % 15.82/3.04 | | | | | | | (99) all_15_0 = all_15_2 % 15.82/3.04 | | | | | | | % 15.82/3.04 | | | | | | | REDUCE: (90), (99) imply: % 15.82/3.04 | | | | | | | (100) $false % 15.82/3.04 | | | | | | | % 15.82/3.04 | | | | | | | CLOSE: (100) is inconsistent. % 15.82/3.04 | | | | | | | % 15.82/3.04 | | | | | | Case 2: % 15.82/3.04 | | | | | | | % 16.52/3.05 | | | | | | | (101) ? [v0: any] : ? [v1: any] : ? [v2: any] : % 16.52/3.05 | | | | | | | (organization(all_15_9) = v0 & has_immunity(all_15_9, % 16.52/3.05 | | | | | | | all_15_7) = v2 & has_immunity(all_15_9, all_15_8) = % 16.52/3.05 | | | | | | | v1 & ( ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 = 0))) % 16.52/3.05 | | | | | | | % 16.52/3.05 | | | | | | | DELTA: instantiating (101) with fresh symbols all_80_0, all_80_1, % 16.52/3.05 | | | | | | | all_80_2 gives: % 16.52/3.05 | | | | | | | (102) organization(all_15_9) = all_80_2 & % 16.52/3.05 | | | | | | | has_immunity(all_15_9, all_15_7) = all_80_0 & % 16.52/3.05 | | | | | | | has_immunity(all_15_9, all_15_8) = all_80_1 & ( ~ % 16.52/3.05 | | | | | | | (all_80_0 = 0) | ~ (all_80_1 = 0) | ~ (all_80_2 = 0)) % 16.52/3.05 | | | | | | | % 16.52/3.05 | | | | | | | ALPHA: (102) implies: % 16.52/3.05 | | | | | | | (103) has_immunity(all_15_9, all_15_8) = all_80_1 % 16.52/3.05 | | | | | | | (104) has_immunity(all_15_9, all_15_7) = all_80_0 % 16.52/3.05 | | | | | | | (105) organization(all_15_9) = all_80_2 % 16.52/3.05 | | | | | | | % 16.52/3.05 | | | | | | | GROUND_INST: instantiating (11) with all_37_0, all_80_1, all_15_8, % 16.52/3.05 | | | | | | | all_15_9, simplifying with (71), (103) gives: % 16.52/3.05 | | | | | | | (106) all_80_1 = all_37_0 % 16.52/3.05 | | | | | | | % 16.52/3.05 | | | | | | | GROUND_INST: instantiating (11) with all_70_0, all_80_1, all_15_8, % 16.52/3.05 | | | | | | | all_15_9, simplifying with (95), (103) gives: % 16.52/3.05 | | | | | | | (107) all_80_1 = all_70_0 % 16.52/3.05 | | | | | | | % 16.52/3.05 | | | | | | | GROUND_INST: instantiating (11) with all_70_1, all_80_0, all_15_7, % 16.52/3.05 | | | | | | | all_15_9, simplifying with (96), (104) gives: % 16.52/3.05 | | | | | | | (108) all_80_0 = all_70_1 % 16.52/3.05 | | | | | | | % 16.52/3.05 | | | | | | | GROUND_INST: instantiating (11) with 0, all_80_0, all_15_7, % 16.52/3.05 | | | | | | | all_15_9, simplifying with (86), (104) gives: % 16.52/3.05 | | | | | | | (109) all_80_0 = 0 % 16.52/3.05 | | | | | | | % 16.52/3.05 | | | | | | | GROUND_INST: instantiating (8) with 0, all_80_2, all_15_9, % 16.52/3.05 | | | | | | | simplifying with (29), (105) gives: % 16.52/3.05 | | | | | | | (110) all_80_2 = 0 % 16.52/3.05 | | | | | | | % 16.52/3.05 | | | | | | | GROUND_INST: instantiating (8) with all_70_2, all_80_2, all_15_9, % 16.52/3.05 | | | | | | | simplifying with (97), (105) gives: % 16.52/3.05 | | | | | | | (111) all_80_2 = all_70_2 % 16.52/3.05 | | | | | | | % 16.52/3.05 | | | | | | | COMBINE_EQS: (108), (109) imply: % 16.52/3.05 | | | | | | | (112) all_70_1 = 0 % 16.52/3.05 | | | | | | | % 16.52/3.05 | | | | | | | SIMP: (112) implies: % 16.52/3.05 | | | | | | | (113) all_70_1 = 0 % 16.52/3.05 | | | | | | | % 16.52/3.05 | | | | | | | COMBINE_EQS: (106), (107) imply: % 16.52/3.05 | | | | | | | (114) all_70_0 = all_37_0 % 16.52/3.05 | | | | | | | % 16.52/3.05 | | | | | | | SIMP: (114) implies: % 16.52/3.05 | | | | | | | (115) all_70_0 = all_37_0 % 16.52/3.05 | | | | | | | % 16.52/3.05 | | | | | | | COMBINE_EQS: (110), (111) imply: % 16.52/3.05 | | | | | | | (116) all_70_2 = 0 % 16.52/3.05 | | | | | | | % 16.52/3.05 | | | | | | | BETA: splitting (98) gives: % 16.52/3.05 | | | | | | | % 16.52/3.05 | | | | | | | Case 1: % 16.52/3.05 | | | | | | | | % 16.52/3.05 | | | | | | | | (117) ~ (all_70_0 = 0) % 16.52/3.05 | | | | | | | | % 16.52/3.05 | | | | | | | | REDUCE: (115), (117) imply: % 16.52/3.05 | | | | | | | | (118) ~ (all_37_0 = 0) % 16.52/3.05 | | | | | | | | % 16.52/3.05 | | | | | | | | BETA: splitting (72) gives: % 16.52/3.05 | | | | | | | | % 16.52/3.05 | | | | | | | | Case 1: % 16.52/3.05 | | | | | | | | | % 16.52/3.05 | | | | | | | | | (119) ~ (all_37_1 = 0) % 16.52/3.05 | | | | | | | | | % 16.52/3.05 | | | | | | | | | GROUND_INST: instantiating (1) with zero, eta, all_37_1, % 16.52/3.05 | | | | | | | | | simplifying with (4), (5), (70) gives: % 16.52/3.06 | | | | | | | | | (120) all_37_1 = 0 | ( ~ (zero = eta) & ? [v0: int] : ( ~ % 16.52/3.06 | | | | | | | | | (v0 = 0) & smaller(zero, eta) = v0)) % 16.52/3.06 | | | | | | | | | % 16.52/3.06 | | | | | | | | | BETA: splitting (120) gives: % 16.52/3.06 | | | | | | | | | % 16.52/3.06 | | | | | | | | | Case 1: % 16.52/3.06 | | | | | | | | | | % 16.52/3.06 | | | | | | | | | | (121) all_37_1 = 0 % 16.52/3.06 | | | | | | | | | | % 16.52/3.06 | | | | | | | | | | REDUCE: (119), (121) imply: % 16.52/3.06 | | | | | | | | | | (122) $false % 16.52/3.06 | | | | | | | | | | % 16.52/3.06 | | | | | | | | | | CLOSE: (122) is inconsistent. % 16.52/3.06 | | | | | | | | | | % 16.52/3.06 | | | | | | | | | Case 2: % 16.52/3.06 | | | | | | | | | | % 16.52/3.06 | | | | | | | | | | (123) ~ (zero = eta) & ? [v0: int] : ( ~ (v0 = 0) & % 16.52/3.06 | | | | | | | | | | smaller(zero, eta) = v0) % 16.52/3.06 | | | | | | | | | | % 16.52/3.06 | | | | | | | | | | ALPHA: (123) implies: % 16.52/3.06 | | | | | | | | | | (124) ~ (zero = eta) % 16.52/3.06 | | | | | | | | | | (125) ? [v0: int] : ( ~ (v0 = 0) & smaller(zero, eta) = % 16.52/3.06 | | | | | | | | | | v0) % 16.52/3.06 | | | | | | | | | | % 16.52/3.06 | | | | | | | | | | DELTA: instantiating (125) with fresh symbol all_115_0 % 16.52/3.06 | | | | | | | | | | gives: % 16.52/3.06 | | | | | | | | | | (126) ~ (all_115_0 = 0) & smaller(zero, eta) = all_115_0 % 16.52/3.06 | | | | | | | | | | % 16.52/3.06 | | | | | | | | | | ALPHA: (126) implies: % 16.52/3.06 | | | | | | | | | | (127) ~ (all_115_0 = 0) % 16.52/3.06 | | | | | | | | | | (128) smaller(zero, eta) = all_115_0 % 16.52/3.06 | | | | | | | | | | % 16.52/3.06 | | | | | | | | | | GROUND_INST: instantiating % 16.52/3.06 | | | | | | | | | | (meaning_postulate_greater_comparable) with zero, % 16.52/3.06 | | | | | | | | | | eta, all_115_0, simplifying with (4), (5), (128) % 16.52/3.06 | | | | | | | | | | gives: % 16.52/3.06 | | | | | | | | | | (129) all_115_0 = 0 | zero = eta | greater(zero, eta) = 0 % 16.52/3.06 | | | | | | | | | | % 16.52/3.06 | | | | | | | | | | BETA: splitting (129) gives: % 16.52/3.06 | | | | | | | | | | % 16.52/3.06 | | | | | | | | | | Case 1: % 16.52/3.06 | | | | | | | | | | | % 16.52/3.06 | | | | | | | | | | | (130) greater(zero, eta) = 0 % 16.52/3.06 | | | | | | | | | | | % 16.52/3.06 | | | | | | | | | | | BETA: splitting (38) gives: % 16.52/3.06 | | | | | | | | | | | % 16.52/3.06 | | | | | | | | | | | Case 1: % 16.52/3.06 | | | | | | | | | | | | % 16.52/3.06 | | | | | | | | | | | | (131) greater(eta, sigma) = 0 % 16.52/3.06 | | | | | | | | | | | | % 16.52/3.06 | | | | | | | | | | | | GROUND_INST: instantiating % 16.52/3.06 | | | | | | | | | | | | (meaning_postulate_greater_transitive) with zero, % 16.52/3.06 | | | | | | | | | | | | eta, sigma, all_25_0, simplifying with (4), (5), % 16.52/3.06 | | | | | | | | | | | | (6), (54), (130) gives: % 16.52/3.06 | | | | | | | | | | | | (132) all_25_0 = 0 | ? [v0: int] : ( ~ (v0 = 0) & % 16.52/3.06 | | | | | | | | | | | | greater(eta, sigma) = v0) % 16.52/3.06 | | | | | | | | | | | | % 16.52/3.06 | | | | | | | | | | | | BETA: splitting (132) gives: % 16.52/3.06 | | | | | | | | | | | | % 16.52/3.06 | | | | | | | | | | | | Case 1: % 16.52/3.06 | | | | | | | | | | | | | % 16.52/3.06 | | | | | | | | | | | | | (133) all_25_0 = 0 % 16.52/3.06 | | | | | | | | | | | | | % 16.52/3.06 | | | | | | | | | | | | | REDUCE: (53), (133) imply: % 16.52/3.06 | | | | | | | | | | | | | (134) $false % 16.52/3.06 | | | | | | | | | | | | | % 16.52/3.06 | | | | | | | | | | | | | CLOSE: (134) is inconsistent. % 16.52/3.06 | | | | | | | | | | | | | % 16.52/3.06 | | | | | | | | | | | | Case 2: % 16.52/3.06 | | | | | | | | | | | | | % 16.52/3.06 | | | | | | | | | | | | | (135) ? [v0: int] : ( ~ (v0 = 0) & greater(eta, sigma) % 16.52/3.06 | | | | | | | | | | | | | = v0) % 16.52/3.06 | | | | | | | | | | | | | % 16.52/3.06 | | | | | | | | | | | | | DELTA: instantiating (135) with fresh symbol all_151_0 % 16.52/3.06 | | | | | | | | | | | | | gives: % 16.52/3.06 | | | | | | | | | | | | | (136) ~ (all_151_0 = 0) & greater(eta, sigma) = % 16.52/3.06 | | | | | | | | | | | | | all_151_0 % 16.52/3.06 | | | | | | | | | | | | | % 16.52/3.06 | | | | | | | | | | | | | ALPHA: (136) implies: % 16.52/3.06 | | | | | | | | | | | | | (137) ~ (all_151_0 = 0) % 16.52/3.06 | | | | | | | | | | | | | (138) greater(eta, sigma) = all_151_0 % 16.52/3.06 | | | | | | | | | | | | | % 16.52/3.06 | | | | | | | | | | | | | GROUND_INST: instantiating (10) with 0, all_151_0, sigma, eta, % 16.52/3.06 | | | | | | | | | | | | | simplifying with (131), (138) gives: % 16.52/3.07 | | | | | | | | | | | | | (139) all_151_0 = 0 % 16.52/3.07 | | | | | | | | | | | | | % 16.52/3.07 | | | | | | | | | | | | | REDUCE: (137), (139) imply: % 16.52/3.07 | | | | | | | | | | | | | (140) $false % 16.52/3.07 | | | | | | | | | | | | | % 16.52/3.07 | | | | | | | | | | | | | CLOSE: (140) is inconsistent. % 16.52/3.07 | | | | | | | | | | | | | % 16.52/3.07 | | | | | | | | | | | | End of split % 16.52/3.07 | | | | | | | | | | | | % 16.52/3.07 | | | | | | | | | | | Case 2: % 16.52/3.07 | | | | | | | | | | | | % 16.52/3.07 | | | | | | | | | | | | (141) sigma = eta % 16.52/3.07 | | | | | | | | | | | | % 16.52/3.07 | | | | | | | | | | | | REDUCE: (54), (141) imply: % 16.52/3.07 | | | | | | | | | | | | (142) greater(zero, eta) = all_25_0 % 16.52/3.07 | | | | | | | | | | | | % 16.52/3.07 | | | | | | | | | | | | GROUND_INST: instantiating (10) with 0, all_25_0, eta, zero, % 16.52/3.07 | | | | | | | | | | | | simplifying with (130), (142) gives: % 16.52/3.07 | | | | | | | | | | | | (143) all_25_0 = 0 % 16.52/3.07 | | | | | | | | | | | | % 16.52/3.07 | | | | | | | | | | | | REDUCE: (53), (143) imply: % 16.52/3.07 | | | | | | | | | | | | (144) $false % 16.52/3.07 | | | | | | | | | | | | % 16.52/3.07 | | | | | | | | | | | | CLOSE: (144) is inconsistent. % 16.52/3.07 | | | | | | | | | | | | % 16.52/3.07 | | | | | | | | | | | End of split % 16.52/3.07 | | | | | | | | | | | % 16.52/3.07 | | | | | | | | | | Case 2: % 16.52/3.07 | | | | | | | | | | | % 16.52/3.07 | | | | | | | | | | | (145) all_115_0 = 0 | zero = eta % 16.52/3.07 | | | | | | | | | | | % 16.52/3.07 | | | | | | | | | | | BETA: splitting (145) gives: % 16.52/3.07 | | | | | | | | | | | % 16.52/3.07 | | | | | | | | | | | Case 1: % 16.52/3.07 | | | | | | | | | | | | % 16.52/3.07 | | | | | | | | | | | | (146) zero = eta % 16.52/3.07 | | | | | | | | | | | | % 16.52/3.07 | | | | | | | | | | | | REDUCE: (124), (146) imply: % 16.52/3.07 | | | | | | | | | | | | (147) $false % 16.52/3.07 | | | | | | | | | | | | % 16.52/3.07 | | | | | | | | | | | | CLOSE: (147) is inconsistent. % 16.52/3.07 | | | | | | | | | | | | % 16.52/3.07 | | | | | | | | | | | Case 2: % 16.52/3.07 | | | | | | | | | | | | % 16.52/3.07 | | | | | | | | | | | | (148) all_115_0 = 0 % 16.52/3.07 | | | | | | | | | | | | % 16.52/3.07 | | | | | | | | | | | | REDUCE: (127), (148) imply: % 16.52/3.07 | | | | | | | | | | | | (149) $false % 16.52/3.07 | | | | | | | | | | | | % 16.52/3.07 | | | | | | | | | | | | CLOSE: (149) is inconsistent. % 16.52/3.07 | | | | | | | | | | | | % 16.52/3.07 | | | | | | | | | | | End of split % 16.52/3.07 | | | | | | | | | | | % 16.52/3.07 | | | | | | | | | | End of split % 16.52/3.07 | | | | | | | | | | % 16.52/3.07 | | | | | | | | | End of split % 16.52/3.07 | | | | | | | | | % 16.52/3.07 | | | | | | | | Case 2: % 16.52/3.07 | | | | | | | | | % 16.52/3.07 | | | | | | | | | (150) all_37_0 = 0 % 16.52/3.07 | | | | | | | | | % 16.52/3.07 | | | | | | | | | REDUCE: (118), (150) imply: % 16.52/3.07 | | | | | | | | | (151) $false % 16.52/3.07 | | | | | | | | | % 16.52/3.07 | | | | | | | | | CLOSE: (151) is inconsistent. % 16.52/3.07 | | | | | | | | | % 16.52/3.07 | | | | | | | | End of split % 16.52/3.07 | | | | | | | | % 16.52/3.07 | | | | | | | Case 2: % 16.52/3.07 | | | | | | | | % 16.52/3.07 | | | | | | | | (152) ~ (all_70_1 = 0) | ~ (all_70_2 = 0) % 16.52/3.07 | | | | | | | | % 16.52/3.07 | | | | | | | | BETA: splitting (152) gives: % 16.52/3.07 | | | | | | | | % 16.52/3.07 | | | | | | | | Case 1: % 16.52/3.07 | | | | | | | | | % 16.52/3.07 | | | | | | | | | (153) ~ (all_70_1 = 0) % 16.52/3.07 | | | | | | | | | % 16.52/3.07 | | | | | | | | | REDUCE: (113), (153) imply: % 16.52/3.07 | | | | | | | | | (154) $false % 16.52/3.07 | | | | | | | | | % 16.52/3.07 | | | | | | | | | CLOSE: (154) is inconsistent. % 16.52/3.07 | | | | | | | | | % 16.52/3.07 | | | | | | | | Case 2: % 16.52/3.07 | | | | | | | | | % 16.52/3.07 | | | | | | | | | (155) ~ (all_70_2 = 0) % 16.52/3.07 | | | | | | | | | % 16.52/3.07 | | | | | | | | | REDUCE: (116), (155) imply: % 16.52/3.07 | | | | | | | | | (156) $false % 16.52/3.07 | | | | | | | | | % 16.52/3.07 | | | | | | | | | CLOSE: (156) is inconsistent. % 16.52/3.07 | | | | | | | | | % 16.52/3.07 | | | | | | | | End of split % 16.52/3.07 | | | | | | | | % 16.52/3.07 | | | | | | | End of split % 16.52/3.07 | | | | | | | % 16.52/3.07 | | | | | | End of split % 16.52/3.07 | | | | | | % 16.52/3.07 | | | | | End of split % 16.52/3.07 | | | | | % 16.52/3.07 | | | | End of split % 16.52/3.07 | | | | % 16.52/3.07 | | | Case 2: % 16.52/3.07 | | | | % 16.52/3.08 | | | | (157) ? [v0: any] : ? [v1: any] : ? [v2: any] : % 16.52/3.08 | | | | (organization(all_15_9) = v0 & has_immunity(all_15_9, all_15_6) % 16.52/3.08 | | | | = v2 & has_immunity(all_15_9, all_15_7) = v1 & ( ~ (v1 = 0) | % 16.52/3.08 | | | | ~ (v0 = 0) | v2 = 0)) % 16.52/3.08 | | | | % 16.52/3.08 | | | | DELTA: instantiating (157) with fresh symbols all_62_0, all_62_1, % 16.52/3.08 | | | | all_62_2 gives: % 16.52/3.08 | | | | (158) organization(all_15_9) = all_62_2 & has_immunity(all_15_9, % 16.52/3.08 | | | | all_15_6) = all_62_0 & has_immunity(all_15_9, all_15_7) = % 16.52/3.08 | | | | all_62_1 & ( ~ (all_62_1 = 0) | ~ (all_62_2 = 0) | all_62_0 = % 16.52/3.08 | | | | 0) % 16.52/3.08 | | | | % 16.52/3.08 | | | | ALPHA: (158) implies: % 16.52/3.08 | | | | (159) has_immunity(all_15_9, all_15_7) = all_62_1 % 16.52/3.08 | | | | (160) has_immunity(all_15_9, all_15_6) = all_62_0 % 16.52/3.08 | | | | (161) organization(all_15_9) = all_62_2 % 16.52/3.08 | | | | (162) ~ (all_62_1 = 0) | ~ (all_62_2 = 0) | all_62_0 = 0 % 16.52/3.08 | | | | % 16.52/3.08 | | | | GROUND_INST: instantiating (11) with 0, all_62_1, all_15_7, all_15_9, % 16.52/3.08 | | | | simplifying with (86), (159) gives: % 16.52/3.08 | | | | (163) all_62_1 = 0 % 16.52/3.08 | | | | % 16.52/3.08 | | | | GROUND_INST: instantiating (11) with all_29_0, all_62_0, all_15_6, % 16.52/3.08 | | | | all_15_9, simplifying with (58), (160) gives: % 16.52/3.08 | | | | (164) all_62_0 = all_29_0 % 16.52/3.08 | | | | % 16.52/3.08 | | | | GROUND_INST: instantiating (8) with 0, all_62_2, all_15_9, simplifying % 16.52/3.08 | | | | with (29), (161) gives: % 16.52/3.08 | | | | (165) all_62_2 = 0 % 16.52/3.08 | | | | % 16.52/3.08 | | | | BETA: splitting (162) gives: % 16.52/3.08 | | | | % 16.52/3.08 | | | | Case 1: % 16.52/3.08 | | | | | % 16.52/3.08 | | | | | (166) ~ (all_62_1 = 0) % 16.52/3.08 | | | | | % 16.52/3.08 | | | | | REDUCE: (163), (166) imply: % 16.52/3.08 | | | | | (167) $false % 16.52/3.08 | | | | | % 16.52/3.08 | | | | | CLOSE: (167) is inconsistent. % 16.52/3.08 | | | | | % 16.52/3.08 | | | | Case 2: % 16.52/3.08 | | | | | % 16.52/3.08 | | | | | (168) ~ (all_62_2 = 0) | all_62_0 = 0 % 16.52/3.08 | | | | | % 16.52/3.08 | | | | | BETA: splitting (168) gives: % 16.52/3.08 | | | | | % 16.52/3.08 | | | | | Case 1: % 16.52/3.08 | | | | | | % 16.52/3.08 | | | | | | (169) ~ (all_62_2 = 0) % 16.52/3.08 | | | | | | % 16.52/3.08 | | | | | | REDUCE: (165), (169) imply: % 16.52/3.08 | | | | | | (170) $false % 16.52/3.08 | | | | | | % 16.52/3.08 | | | | | | CLOSE: (170) is inconsistent. % 16.52/3.08 | | | | | | % 16.52/3.08 | | | | | Case 2: % 16.52/3.08 | | | | | | % 16.52/3.08 | | | | | | (171) all_62_0 = 0 % 16.52/3.08 | | | | | | % 16.52/3.08 | | | | | | COMBINE_EQS: (164), (171) imply: % 16.52/3.08 | | | | | | (172) all_29_0 = 0 % 16.52/3.08 | | | | | | % 16.52/3.08 | | | | | | REDUCE: (82), (172) imply: % 16.52/3.08 | | | | | | (173) $false % 16.52/3.08 | | | | | | % 16.52/3.08 | | | | | | CLOSE: (173) is inconsistent. % 16.52/3.08 | | | | | | % 16.52/3.08 | | | | | End of split % 16.52/3.08 | | | | | % 16.52/3.08 | | | | End of split % 16.52/3.08 | | | | % 16.52/3.08 | | | End of split % 16.52/3.08 | | | % 16.52/3.08 | | End of split % 16.52/3.08 | | % 16.52/3.08 | Case 2: % 16.52/3.08 | | % 16.52/3.08 | | (174) ~ (all_31_1 = 0) % 16.52/3.08 | | % 16.52/3.08 | | REDUCE: (76), (174) imply: % 16.52/3.08 | | (175) $false % 16.52/3.08 | | % 16.52/3.08 | | CLOSE: (175) is inconsistent. % 16.52/3.08 | | % 16.52/3.08 | End of split % 16.52/3.08 | % 16.52/3.08 End of proof % 16.52/3.09 % SZS output end Proof for theBenchmark % 16.52/3.09 % 16.52/3.09 2355ms %------------------------------------------------------------------------------