%------------------------------------------------------------------------------ % File : Princess---230619 % Problem : SET159+4 : TPTP v8.1.2. Released v2.2.0. % Transfm : none % Format : tptp % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s % Computer : n005.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 15:24:05 EDT 2023 % Result : Theorem 7.11s 1.68s % Output : Proof 9.28s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.11/0.12 % Problem : SET159+4 : TPTP v8.1.2. Released v2.2.0. % 0.11/0.13 % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s % 0.12/0.33 % Computer : n005.cluster.edu % 0.12/0.33 % Model : x86_64 x86_64 % 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.12/0.33 % Memory : 8042.1875MB % 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.12/0.33 % CPULimit : 300 % 0.12/0.33 % WCLimit : 300 % 0.12/0.33 % DateTime : Sat Aug 26 15:28:53 EDT 2023 % 0.12/0.33 % CPUTime : % 0.19/0.60 ________ _____ % 0.19/0.60 ___ __ \_________(_)________________________________ % 0.19/0.60 __ /_/ /_ ___/_ /__ __ \ ___/ _ \_ ___/_ ___/ % 0.19/0.60 _ ____/_ / _ / _ / / / /__ / __/(__ )_(__ ) % 0.19/0.60 /_/ /_/ /_/ /_/ /_/\___/ \___//____/ /____/ % 0.19/0.60 % 0.19/0.60 A Theorem Prover for First-Order Logic modulo Linear Integer Arithmetic % 0.19/0.60 (2023-06-19) % 0.19/0.60 % 0.19/0.60 (c) Philipp Rümmer, 2009-2023 % 0.19/0.60 Contributors: Peter Backeman, Peter Baumgartner, Angelo Brillout, Zafer Esen, % 0.19/0.60 Amanda Stjerna. % 0.19/0.60 Free software under BSD-3-Clause. % 0.19/0.60 % 0.19/0.60 For more information, visit http://www.philipp.ruemmer.org/princess.shtml % 0.19/0.60 % 0.19/0.60 Loading /export/starexec/sandbox2/benchmark/theBenchmark.p ... % 0.19/0.61 Running up to 7 provers in parallel. % 0.19/0.63 Prover 0: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893 % 0.19/0.63 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1571432423 % 0.19/0.63 Prover 2: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1065072994 % 0.19/0.63 Prover 3: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996 % 0.19/0.63 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696 % 0.19/0.63 Prover 5: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288 % 0.19/0.63 Prover 6: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365 % 2.10/1.00 Prover 4: Preprocessing ... % 2.10/1.00 Prover 1: Preprocessing ... % 2.62/1.04 Prover 6: Preprocessing ... % 2.62/1.04 Prover 0: Preprocessing ... % 2.62/1.04 Prover 5: Preprocessing ... % 2.62/1.04 Prover 3: Preprocessing ... % 2.62/1.04 Prover 2: Preprocessing ... % 5.24/1.41 Prover 5: Proving ... % 5.24/1.41 Prover 3: Constructing countermodel ... % 5.24/1.43 Prover 6: Proving ... % 5.24/1.43 Prover 1: Constructing countermodel ... % 5.24/1.44 Prover 2: Proving ... % 5.76/1.46 Prover 4: Constructing countermodel ... % 5.76/1.49 Prover 0: Proving ... % 7.11/1.68 Prover 3: proved (1060ms) % 7.11/1.68 % 7.11/1.68 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p % 7.11/1.68 % 7.11/1.69 Prover 0: stopped % 7.11/1.69 Prover 2: stopped % 7.46/1.69 Prover 6: stopped % 7.46/1.69 Prover 7: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470 % 7.46/1.69 Prover 10: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=919308125 % 7.46/1.69 Prover 5: stopped % 7.46/1.69 Prover 8: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089 % 7.46/1.69 Prover 11: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1509710984 % 7.46/1.69 Prover 13: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=1138197443 % 7.46/1.73 Prover 10: Preprocessing ... % 7.46/1.73 Prover 7: Preprocessing ... % 7.82/1.74 Prover 8: Preprocessing ... % 7.90/1.75 Prover 13: Preprocessing ... % 7.90/1.76 Prover 11: Preprocessing ... % 7.90/1.78 Prover 7: Warning: ignoring some quantifiers % 7.90/1.79 Prover 10: Warning: ignoring some quantifiers % 7.90/1.80 Prover 7: Constructing countermodel ... % 7.90/1.80 Prover 1: Found proof (size 100) % 7.90/1.80 Prover 1: proved (1186ms) % 7.90/1.80 Prover 4: stopped % 7.90/1.80 Prover 13: stopped % 7.90/1.80 Prover 11: stopped % 8.29/1.81 Prover 10: Constructing countermodel ... % 8.29/1.81 Prover 7: stopped % 8.29/1.82 Prover 10: stopped % 8.29/1.85 Prover 8: Warning: ignoring some quantifiers % 8.29/1.85 Prover 8: Constructing countermodel ... % 8.29/1.86 Prover 8: stopped % 8.29/1.86 % 8.29/1.86 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p % 8.29/1.86 % 8.29/1.88 % SZS output start Proof for theBenchmark % 8.29/1.88 Assumptions after simplification: % 8.29/1.88 --------------------------------- % 8.29/1.88 % 8.29/1.88 (equal_set) % 8.29/1.92 ! [v0: $i] : ! [v1: $i] : ! [v2: int] : (v2 = 0 | ~ (equal_set(v0, v1) = % 8.29/1.93 v2) | ~ $i(v1) | ~ $i(v0) | ? [v3: any] : ? [v4: any] : (subset(v1, % 8.29/1.93 v0) = v4 & subset(v0, v1) = v3 & ( ~ (v4 = 0) | ~ (v3 = 0)))) & ! [v0: % 8.29/1.93 $i] : ! [v1: $i] : ( ~ (equal_set(v0, v1) = 0) | ~ $i(v1) | ~ $i(v0) | % 8.29/1.93 (subset(v1, v0) = 0 & subset(v0, v1) = 0)) % 8.29/1.93 % 8.29/1.93 (subset) % 8.29/1.93 ! [v0: $i] : ! [v1: $i] : ! [v2: int] : (v2 = 0 | ~ (subset(v0, v1) = v2) % 8.29/1.93 | ~ $i(v1) | ~ $i(v0) | ? [v3: $i] : ? [v4: int] : ( ~ (v4 = 0) & % 8.29/1.93 member(v3, v1) = v4 & member(v3, v0) = 0 & $i(v3))) & ! [v0: $i] : ! % 8.29/1.93 [v1: $i] : ( ~ (subset(v0, v1) = 0) | ~ $i(v1) | ~ $i(v0) | ! [v2: $i] : ( % 8.29/1.93 ~ (member(v2, v0) = 0) | ~ $i(v2) | member(v2, v1) = 0)) % 8.29/1.93 % 8.29/1.93 (thI09) % 8.29/1.93 ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] : ? [v5: % 8.29/1.93 $i] : ? [v6: $i] : ? [v7: int] : ( ~ (v7 = 0) & union(v3, v2) = v4 & % 8.29/1.93 union(v1, v2) = v5 & union(v0, v5) = v6 & union(v0, v1) = v3 & equal_set(v4, % 8.29/1.93 v6) = v7 & $i(v6) & $i(v5) & $i(v4) & $i(v3) & $i(v2) & $i(v1) & $i(v0)) % 8.29/1.93 % 8.29/1.93 (union) % 8.87/1.94 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: int] : (v4 = 0 % 8.87/1.94 | ~ (union(v1, v2) = v3) | ~ (member(v0, v3) = v4) | ~ $i(v2) | ~ $i(v1) % 8.87/1.94 | ~ $i(v0) | ? [v5: int] : ? [v6: int] : ( ~ (v6 = 0) & ~ (v5 = 0) & % 8.87/1.94 member(v0, v2) = v6 & member(v0, v1) = v5)) & ! [v0: $i] : ! [v1: $i] : % 8.87/1.94 ! [v2: $i] : ! [v3: $i] : ( ~ (union(v1, v2) = v3) | ~ (member(v0, v3) = 0) % 8.87/1.94 | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v4: any] : ? [v5: any] : % 8.87/1.94 (member(v0, v2) = v5 & member(v0, v1) = v4 & (v5 = 0 | v4 = 0))) % 8.87/1.94 % 8.87/1.94 (function-axioms) % 8.87/1.95 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 8.87/1.95 (unordered_pair(v3, v2) = v1) | ~ (unordered_pair(v3, v2) = v0)) & ! [v0: % 8.87/1.95 $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 8.87/1.95 (difference(v3, v2) = v1) | ~ (difference(v3, v2) = v0)) & ! [v0: $i] : ! % 8.87/1.95 [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ (union(v3, v2) = v1) | ~ % 8.87/1.95 (union(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: % 8.87/1.95 $i] : (v1 = v0 | ~ (intersection(v3, v2) = v1) | ~ (intersection(v3, v2) = % 8.87/1.95 v0)) & ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: % 8.87/1.95 $i] : ! [v3: $i] : (v1 = v0 | ~ (equal_set(v3, v2) = v1) | ~ % 8.87/1.95 (equal_set(v3, v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1: % 8.87/1.95 MultipleValueBool] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ (subset(v3, % 8.87/1.95 v2) = v1) | ~ (subset(v3, v2) = v0)) & ! [v0: MultipleValueBool] : ! % 8.87/1.95 [v1: MultipleValueBool] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 8.87/1.95 (member(v3, v2) = v1) | ~ (member(v3, v2) = v0)) & ! [v0: $i] : ! [v1: % 8.87/1.95 $i] : ! [v2: $i] : (v1 = v0 | ~ (product(v2) = v1) | ~ (product(v2) = % 8.87/1.95 v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (sum(v2) = % 8.87/1.95 v1) | ~ (sum(v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = % 8.87/1.95 v0 | ~ (singleton(v2) = v1) | ~ (singleton(v2) = v0)) & ! [v0: $i] : ! % 8.87/1.95 [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (power_set(v2) = v1) | ~ % 8.87/1.95 (power_set(v2) = v0)) % 8.87/1.95 % 8.87/1.95 Further assumptions not needed in the proof: % 8.87/1.95 -------------------------------------------- % 8.87/1.95 difference, empty_set, intersection, power_set, product, singleton, sum, % 8.87/1.95 unordered_pair % 8.87/1.95 % 8.87/1.95 Those formulas are unsatisfiable: % 8.87/1.95 --------------------------------- % 8.87/1.95 % 8.87/1.95 Begin of proof % 8.87/1.95 | % 8.87/1.95 | ALPHA: (subset) implies: % 8.87/1.96 | (1) ! [v0: $i] : ! [v1: $i] : ! [v2: int] : (v2 = 0 | ~ (subset(v0, v1) % 8.87/1.96 | = v2) | ~ $i(v1) | ~ $i(v0) | ? [v3: $i] : ? [v4: int] : ( ~ % 8.87/1.96 | (v4 = 0) & member(v3, v1) = v4 & member(v3, v0) = 0 & $i(v3))) % 8.87/1.96 | % 8.87/1.96 | ALPHA: (equal_set) implies: % 8.87/1.96 | (2) ! [v0: $i] : ! [v1: $i] : ! [v2: int] : (v2 = 0 | ~ (equal_set(v0, % 8.87/1.96 | v1) = v2) | ~ $i(v1) | ~ $i(v0) | ? [v3: any] : ? [v4: any] : % 8.87/1.96 | (subset(v1, v0) = v4 & subset(v0, v1) = v3 & ( ~ (v4 = 0) | ~ (v3 = % 8.87/1.96 | 0)))) % 8.87/1.96 | % 8.87/1.96 | ALPHA: (union) implies: % 8.87/1.96 | (3) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~ (union(v1, % 8.87/1.96 | v2) = v3) | ~ (member(v0, v3) = 0) | ~ $i(v2) | ~ $i(v1) | ~ % 8.87/1.96 | $i(v0) | ? [v4: any] : ? [v5: any] : (member(v0, v2) = v5 & % 8.87/1.96 | member(v0, v1) = v4 & (v5 = 0 | v4 = 0))) % 8.87/1.96 | (4) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: int] : % 8.87/1.96 | (v4 = 0 | ~ (union(v1, v2) = v3) | ~ (member(v0, v3) = v4) | ~ % 8.87/1.96 | $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v5: int] : ? [v6: int] : ( ~ % 8.87/1.96 | (v6 = 0) & ~ (v5 = 0) & member(v0, v2) = v6 & member(v0, v1) = % 8.87/1.96 | v5)) % 8.87/1.96 | % 8.87/1.96 | ALPHA: (function-axioms) implies: % 8.87/1.97 | (5) ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : % 8.87/1.97 | ! [v3: $i] : (v1 = v0 | ~ (member(v3, v2) = v1) | ~ (member(v3, v2) % 8.87/1.97 | = v0)) % 8.87/1.97 | % 8.87/1.97 | DELTA: instantiating (thI09) with fresh symbols all_15_0, all_15_1, all_15_2, % 8.87/1.97 | all_15_3, all_15_4, all_15_5, all_15_6, all_15_7 gives: % 8.87/1.97 | (6) ~ (all_15_0 = 0) & union(all_15_4, all_15_5) = all_15_3 & % 8.87/1.97 | union(all_15_6, all_15_5) = all_15_2 & union(all_15_7, all_15_2) = % 8.87/1.97 | all_15_1 & union(all_15_7, all_15_6) = all_15_4 & equal_set(all_15_3, % 8.87/1.97 | all_15_1) = all_15_0 & $i(all_15_1) & $i(all_15_2) & $i(all_15_3) & % 8.87/1.97 | $i(all_15_4) & $i(all_15_5) & $i(all_15_6) & $i(all_15_7) % 8.87/1.97 | % 8.87/1.97 | ALPHA: (6) implies: % 8.87/1.97 | (7) ~ (all_15_0 = 0) % 8.87/1.97 | (8) $i(all_15_7) % 8.87/1.97 | (9) $i(all_15_6) % 8.87/1.97 | (10) $i(all_15_5) % 8.87/1.97 | (11) $i(all_15_4) % 8.87/1.97 | (12) $i(all_15_3) % 8.87/1.97 | (13) $i(all_15_2) % 8.87/1.97 | (14) $i(all_15_1) % 8.87/1.97 | (15) equal_set(all_15_3, all_15_1) = all_15_0 % 8.87/1.97 | (16) union(all_15_7, all_15_6) = all_15_4 % 8.87/1.97 | (17) union(all_15_7, all_15_2) = all_15_1 % 8.87/1.97 | (18) union(all_15_6, all_15_5) = all_15_2 % 8.87/1.97 | (19) union(all_15_4, all_15_5) = all_15_3 % 8.87/1.97 | % 8.87/1.97 | GROUND_INST: instantiating (2) with all_15_3, all_15_1, all_15_0, simplifying % 8.87/1.97 | with (12), (14), (15) gives: % 8.87/1.97 | (20) all_15_0 = 0 | ? [v0: any] : ? [v1: any] : (subset(all_15_1, % 8.87/1.97 | all_15_3) = v1 & subset(all_15_3, all_15_1) = v0 & ( ~ (v1 = 0) | % 8.87/1.97 | ~ (v0 = 0))) % 8.87/1.97 | % 8.87/1.97 | BETA: splitting (20) gives: % 8.87/1.97 | % 8.87/1.98 | Case 1: % 8.87/1.98 | | % 8.87/1.98 | | (21) all_15_0 = 0 % 8.87/1.98 | | % 8.87/1.98 | | REDUCE: (7), (21) imply: % 8.87/1.98 | | (22) $false % 8.87/1.98 | | % 8.87/1.98 | | CLOSE: (22) is inconsistent. % 8.87/1.98 | | % 8.87/1.98 | Case 2: % 8.87/1.98 | | % 8.87/1.98 | | (23) ? [v0: any] : ? [v1: any] : (subset(all_15_1, all_15_3) = v1 & % 8.87/1.98 | | subset(all_15_3, all_15_1) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0))) % 8.87/1.98 | | % 8.87/1.98 | | DELTA: instantiating (23) with fresh symbols all_24_0, all_24_1 gives: % 8.87/1.98 | | (24) subset(all_15_1, all_15_3) = all_24_0 & subset(all_15_3, all_15_1) = % 8.87/1.98 | | all_24_1 & ( ~ (all_24_0 = 0) | ~ (all_24_1 = 0)) % 8.87/1.98 | | % 8.87/1.98 | | ALPHA: (24) implies: % 8.87/1.98 | | (25) subset(all_15_3, all_15_1) = all_24_1 % 8.87/1.98 | | (26) subset(all_15_1, all_15_3) = all_24_0 % 8.87/1.98 | | (27) ~ (all_24_0 = 0) | ~ (all_24_1 = 0) % 8.87/1.98 | | % 8.87/1.98 | | GROUND_INST: instantiating (1) with all_15_3, all_15_1, all_24_1, % 8.87/1.98 | | simplifying with (12), (14), (25) gives: % 8.87/1.98 | | (28) all_24_1 = 0 | ? [v0: $i] : ? [v1: int] : ( ~ (v1 = 0) & % 8.87/1.98 | | member(v0, all_15_1) = v1 & member(v0, all_15_3) = 0 & $i(v0)) % 8.87/1.98 | | % 8.87/1.98 | | GROUND_INST: instantiating (1) with all_15_1, all_15_3, all_24_0, % 8.87/1.98 | | simplifying with (12), (14), (26) gives: % 8.87/1.98 | | (29) all_24_0 = 0 | ? [v0: $i] : ? [v1: int] : ( ~ (v1 = 0) & % 8.87/1.98 | | member(v0, all_15_1) = 0 & member(v0, all_15_3) = v1 & $i(v0)) % 8.87/1.98 | | % 8.87/1.98 | | BETA: splitting (27) gives: % 8.87/1.98 | | % 8.87/1.98 | | Case 1: % 8.87/1.98 | | | % 8.87/1.98 | | | (30) ~ (all_24_0 = 0) % 8.87/1.98 | | | % 8.87/1.98 | | | BETA: splitting (29) gives: % 8.87/1.98 | | | % 8.87/1.98 | | | Case 1: % 8.87/1.98 | | | | % 8.87/1.98 | | | | (31) all_24_0 = 0 % 8.87/1.98 | | | | % 8.87/1.98 | | | | REDUCE: (30), (31) imply: % 8.87/1.98 | | | | (32) $false % 8.87/1.98 | | | | % 8.87/1.98 | | | | CLOSE: (32) is inconsistent. % 8.87/1.98 | | | | % 8.87/1.98 | | | Case 2: % 8.87/1.98 | | | | % 8.87/1.98 | | | | (33) ? [v0: $i] : ? [v1: int] : ( ~ (v1 = 0) & member(v0, all_15_1) % 8.87/1.98 | | | | = 0 & member(v0, all_15_3) = v1 & $i(v0)) % 8.87/1.98 | | | | % 8.87/1.98 | | | | DELTA: instantiating (33) with fresh symbols all_37_0, all_37_1 gives: % 8.87/1.98 | | | | (34) ~ (all_37_0 = 0) & member(all_37_1, all_15_1) = 0 & % 8.87/1.98 | | | | member(all_37_1, all_15_3) = all_37_0 & $i(all_37_1) % 8.87/1.98 | | | | % 8.87/1.98 | | | | ALPHA: (34) implies: % 8.87/1.98 | | | | (35) ~ (all_37_0 = 0) % 8.87/1.99 | | | | (36) $i(all_37_1) % 8.87/1.99 | | | | (37) member(all_37_1, all_15_3) = all_37_0 % 8.87/1.99 | | | | (38) member(all_37_1, all_15_1) = 0 % 8.87/1.99 | | | | % 8.87/1.99 | | | | GROUND_INST: instantiating (4) with all_37_1, all_15_4, all_15_5, % 8.87/1.99 | | | | all_15_3, all_37_0, simplifying with (10), (11), (19), % 8.87/1.99 | | | | (36), (37) gives: % 8.87/1.99 | | | | (39) all_37_0 = 0 | ? [v0: int] : ? [v1: int] : ( ~ (v1 = 0) & ~ % 8.87/1.99 | | | | (v0 = 0) & member(all_37_1, all_15_4) = v0 & member(all_37_1, % 8.87/1.99 | | | | all_15_5) = v1) % 8.87/1.99 | | | | % 8.87/1.99 | | | | GROUND_INST: instantiating (3) with all_37_1, all_15_7, all_15_2, % 8.87/1.99 | | | | all_15_1, simplifying with (8), (13), (17), (36), (38) % 8.87/1.99 | | | | gives: % 8.87/1.99 | | | | (40) ? [v0: any] : ? [v1: any] : (member(all_37_1, all_15_2) = v1 & % 8.87/1.99 | | | | member(all_37_1, all_15_7) = v0 & (v1 = 0 | v0 = 0)) % 8.87/1.99 | | | | % 8.87/1.99 | | | | DELTA: instantiating (40) with fresh symbols all_44_0, all_44_1 gives: % 8.87/1.99 | | | | (41) member(all_37_1, all_15_2) = all_44_0 & member(all_37_1, % 8.87/1.99 | | | | all_15_7) = all_44_1 & (all_44_0 = 0 | all_44_1 = 0) % 8.87/1.99 | | | | % 8.87/1.99 | | | | ALPHA: (41) implies: % 8.87/1.99 | | | | (42) member(all_37_1, all_15_7) = all_44_1 % 8.87/1.99 | | | | (43) member(all_37_1, all_15_2) = all_44_0 % 8.87/1.99 | | | | (44) all_44_0 = 0 | all_44_1 = 0 % 8.87/1.99 | | | | % 8.87/1.99 | | | | BETA: splitting (39) gives: % 8.87/1.99 | | | | % 8.87/1.99 | | | | Case 1: % 8.87/1.99 | | | | | % 8.87/1.99 | | | | | (45) all_37_0 = 0 % 8.87/1.99 | | | | | % 8.87/1.99 | | | | | REDUCE: (35), (45) imply: % 8.87/1.99 | | | | | (46) $false % 8.87/1.99 | | | | | % 8.87/1.99 | | | | | CLOSE: (46) is inconsistent. % 8.87/1.99 | | | | | % 8.87/1.99 | | | | Case 2: % 8.87/1.99 | | | | | % 8.87/1.99 | | | | | (47) ? [v0: int] : ? [v1: int] : ( ~ (v1 = 0) & ~ (v0 = 0) & % 8.87/1.99 | | | | | member(all_37_1, all_15_4) = v0 & member(all_37_1, all_15_5) % 8.87/1.99 | | | | | = v1) % 8.87/1.99 | | | | | % 8.87/1.99 | | | | | DELTA: instantiating (47) with fresh symbols all_50_0, all_50_1 gives: % 8.87/1.99 | | | | | (48) ~ (all_50_0 = 0) & ~ (all_50_1 = 0) & member(all_37_1, % 8.87/1.99 | | | | | all_15_4) = all_50_1 & member(all_37_1, all_15_5) = all_50_0 % 8.87/1.99 | | | | | % 8.87/1.99 | | | | | ALPHA: (48) implies: % 8.87/1.99 | | | | | (49) ~ (all_50_1 = 0) % 8.87/1.99 | | | | | (50) ~ (all_50_0 = 0) % 8.87/1.99 | | | | | (51) member(all_37_1, all_15_5) = all_50_0 % 8.87/1.99 | | | | | (52) member(all_37_1, all_15_4) = all_50_1 % 8.87/1.99 | | | | | % 8.87/1.99 | | | | | GROUND_INST: instantiating (4) with all_37_1, all_15_7, all_15_6, % 8.87/1.99 | | | | | all_15_4, all_50_1, simplifying with (8), (9), (16), % 8.87/1.99 | | | | | (36), (52) gives: % 8.87/2.00 | | | | | (53) all_50_1 = 0 | ? [v0: int] : ? [v1: int] : ( ~ (v1 = 0) & ~ % 8.87/2.00 | | | | | (v0 = 0) & member(all_37_1, all_15_6) = v1 & % 8.87/2.00 | | | | | member(all_37_1, all_15_7) = v0) % 8.87/2.00 | | | | | % 8.87/2.00 | | | | | BETA: splitting (53) gives: % 8.87/2.00 | | | | | % 8.87/2.00 | | | | | Case 1: % 8.87/2.00 | | | | | | % 8.87/2.00 | | | | | | (54) all_50_1 = 0 % 8.87/2.00 | | | | | | % 8.87/2.00 | | | | | | REDUCE: (49), (54) imply: % 8.87/2.00 | | | | | | (55) $false % 8.87/2.00 | | | | | | % 8.87/2.00 | | | | | | CLOSE: (55) is inconsistent. % 8.87/2.00 | | | | | | % 8.87/2.00 | | | | | Case 2: % 8.87/2.00 | | | | | | % 8.87/2.00 | | | | | | (56) ? [v0: int] : ? [v1: int] : ( ~ (v1 = 0) & ~ (v0 = 0) & % 8.87/2.00 | | | | | | member(all_37_1, all_15_6) = v1 & member(all_37_1, % 8.87/2.00 | | | | | | all_15_7) = v0) % 8.87/2.00 | | | | | | % 8.87/2.00 | | | | | | DELTA: instantiating (56) with fresh symbols all_65_0, all_65_1 % 8.87/2.00 | | | | | | gives: % 8.87/2.00 | | | | | | (57) ~ (all_65_0 = 0) & ~ (all_65_1 = 0) & member(all_37_1, % 8.87/2.00 | | | | | | all_15_6) = all_65_0 & member(all_37_1, all_15_7) = % 8.87/2.00 | | | | | | all_65_1 % 8.87/2.00 | | | | | | % 8.87/2.00 | | | | | | ALPHA: (57) implies: % 8.87/2.00 | | | | | | (58) ~ (all_65_1 = 0) % 8.87/2.00 | | | | | | (59) ~ (all_65_0 = 0) % 8.87/2.00 | | | | | | (60) member(all_37_1, all_15_7) = all_65_1 % 8.87/2.00 | | | | | | (61) member(all_37_1, all_15_6) = all_65_0 % 8.87/2.00 | | | | | | % 8.87/2.00 | | | | | | GROUND_INST: instantiating (5) with all_44_1, all_65_1, all_15_7, % 8.87/2.00 | | | | | | all_37_1, simplifying with (42), (60) gives: % 8.87/2.00 | | | | | | (62) all_65_1 = all_44_1 % 8.87/2.00 | | | | | | % 8.87/2.00 | | | | | | REDUCE: (58), (62) imply: % 8.87/2.00 | | | | | | (63) ~ (all_44_1 = 0) % 8.87/2.00 | | | | | | % 8.87/2.00 | | | | | | BETA: splitting (44) gives: % 8.87/2.00 | | | | | | % 8.87/2.00 | | | | | | Case 1: % 8.87/2.00 | | | | | | | % 8.87/2.00 | | | | | | | (64) all_44_0 = 0 % 8.87/2.00 | | | | | | | % 8.87/2.00 | | | | | | | REDUCE: (43), (64) imply: % 8.87/2.00 | | | | | | | (65) member(all_37_1, all_15_2) = 0 % 8.87/2.00 | | | | | | | % 8.87/2.00 | | | | | | | GROUND_INST: instantiating (3) with all_37_1, all_15_6, all_15_5, % 8.87/2.00 | | | | | | | all_15_2, simplifying with (9), (10), (18), (36), % 8.87/2.00 | | | | | | | (65) gives: % 8.87/2.00 | | | | | | | (66) ? [v0: any] : ? [v1: any] : (member(all_37_1, all_15_5) % 8.87/2.00 | | | | | | | = v1 & member(all_37_1, all_15_6) = v0 & (v1 = 0 | v0 = % 8.87/2.00 | | | | | | | 0)) % 8.87/2.00 | | | | | | | % 8.87/2.00 | | | | | | | DELTA: instantiating (66) with fresh symbols all_82_0, all_82_1 % 8.87/2.00 | | | | | | | gives: % 8.87/2.00 | | | | | | | (67) member(all_37_1, all_15_5) = all_82_0 & member(all_37_1, % 8.87/2.00 | | | | | | | all_15_6) = all_82_1 & (all_82_0 = 0 | all_82_1 = 0) % 8.87/2.00 | | | | | | | % 8.87/2.00 | | | | | | | ALPHA: (67) implies: % 8.87/2.00 | | | | | | | (68) member(all_37_1, all_15_6) = all_82_1 % 8.87/2.00 | | | | | | | (69) member(all_37_1, all_15_5) = all_82_0 % 8.87/2.00 | | | | | | | (70) all_82_0 = 0 | all_82_1 = 0 % 8.87/2.00 | | | | | | | % 8.87/2.00 | | | | | | | GROUND_INST: instantiating (5) with all_65_0, all_82_1, all_15_6, % 8.87/2.00 | | | | | | | all_37_1, simplifying with (61), (68) gives: % 8.87/2.00 | | | | | | | (71) all_82_1 = all_65_0 % 8.87/2.00 | | | | | | | % 8.87/2.00 | | | | | | | GROUND_INST: instantiating (5) with all_50_0, all_82_0, all_15_5, % 8.87/2.00 | | | | | | | all_37_1, simplifying with (51), (69) gives: % 8.87/2.00 | | | | | | | (72) all_82_0 = all_50_0 % 8.87/2.00 | | | | | | | % 8.87/2.00 | | | | | | | BETA: splitting (70) gives: % 8.87/2.00 | | | | | | | % 8.87/2.00 | | | | | | | Case 1: % 8.87/2.00 | | | | | | | | % 8.87/2.00 | | | | | | | | (73) all_82_0 = 0 % 8.87/2.00 | | | | | | | | % 8.87/2.00 | | | | | | | | COMBINE_EQS: (72), (73) imply: % 8.87/2.00 | | | | | | | | (74) all_50_0 = 0 % 8.87/2.00 | | | | | | | | % 8.87/2.00 | | | | | | | | REDUCE: (50), (74) imply: % 8.87/2.00 | | | | | | | | (75) $false % 8.87/2.00 | | | | | | | | % 8.87/2.00 | | | | | | | | CLOSE: (75) is inconsistent. % 8.87/2.00 | | | | | | | | % 8.87/2.00 | | | | | | | Case 2: % 8.87/2.00 | | | | | | | | % 8.87/2.00 | | | | | | | | (76) all_82_1 = 0 % 8.87/2.00 | | | | | | | | % 8.87/2.00 | | | | | | | | COMBINE_EQS: (71), (76) imply: % 8.87/2.00 | | | | | | | | (77) all_65_0 = 0 % 8.87/2.00 | | | | | | | | % 8.87/2.00 | | | | | | | | SIMP: (77) implies: % 8.87/2.01 | | | | | | | | (78) all_65_0 = 0 % 8.87/2.01 | | | | | | | | % 8.87/2.01 | | | | | | | | REDUCE: (59), (78) imply: % 8.87/2.01 | | | | | | | | (79) $false % 8.87/2.01 | | | | | | | | % 8.87/2.01 | | | | | | | | CLOSE: (79) is inconsistent. % 8.87/2.01 | | | | | | | | % 8.87/2.01 | | | | | | | End of split % 8.87/2.01 | | | | | | | % 8.87/2.01 | | | | | | Case 2: % 8.87/2.01 | | | | | | | % 8.87/2.01 | | | | | | | (80) all_44_1 = 0 % 8.87/2.01 | | | | | | | % 8.87/2.01 | | | | | | | REDUCE: (63), (80) imply: % 8.87/2.01 | | | | | | | (81) $false % 8.87/2.01 | | | | | | | % 8.87/2.01 | | | | | | | CLOSE: (81) is inconsistent. % 8.87/2.01 | | | | | | | % 8.87/2.01 | | | | | | End of split % 8.87/2.01 | | | | | | % 8.87/2.01 | | | | | End of split % 8.87/2.01 | | | | | % 8.87/2.01 | | | | End of split % 8.87/2.01 | | | | % 8.87/2.01 | | | End of split % 8.87/2.01 | | | % 8.87/2.01 | | Case 2: % 8.87/2.01 | | | % 8.87/2.01 | | | (82) ~ (all_24_1 = 0) % 8.87/2.01 | | | % 8.87/2.01 | | | BETA: splitting (28) gives: % 8.87/2.01 | | | % 8.87/2.01 | | | Case 1: % 8.87/2.01 | | | | % 8.87/2.01 | | | | (83) all_24_1 = 0 % 8.87/2.01 | | | | % 8.87/2.01 | | | | REDUCE: (82), (83) imply: % 8.87/2.01 | | | | (84) $false % 8.87/2.01 | | | | % 8.87/2.01 | | | | CLOSE: (84) is inconsistent. % 8.87/2.01 | | | | % 8.87/2.01 | | | Case 2: % 8.87/2.01 | | | | % 8.87/2.01 | | | | (85) ? [v0: $i] : ? [v1: int] : ( ~ (v1 = 0) & member(v0, all_15_1) % 8.87/2.01 | | | | = v1 & member(v0, all_15_3) = 0 & $i(v0)) % 8.87/2.01 | | | | % 8.87/2.01 | | | | DELTA: instantiating (85) with fresh symbols all_37_0, all_37_1 gives: % 8.87/2.01 | | | | (86) ~ (all_37_0 = 0) & member(all_37_1, all_15_1) = all_37_0 & % 8.87/2.01 | | | | member(all_37_1, all_15_3) = 0 & $i(all_37_1) % 8.87/2.01 | | | | % 8.87/2.01 | | | | ALPHA: (86) implies: % 8.87/2.01 | | | | (87) ~ (all_37_0 = 0) % 8.87/2.01 | | | | (88) $i(all_37_1) % 8.87/2.01 | | | | (89) member(all_37_1, all_15_3) = 0 % 8.87/2.01 | | | | (90) member(all_37_1, all_15_1) = all_37_0 % 8.87/2.01 | | | | % 8.87/2.01 | | | | GROUND_INST: instantiating (3) with all_37_1, all_15_4, all_15_5, % 8.87/2.01 | | | | all_15_3, simplifying with (10), (11), (19), (88), (89) % 8.87/2.01 | | | | gives: % 8.87/2.01 | | | | (91) ? [v0: any] : ? [v1: any] : (member(all_37_1, all_15_4) = v0 & % 8.87/2.01 | | | | member(all_37_1, all_15_5) = v1 & (v1 = 0 | v0 = 0)) % 8.87/2.01 | | | | % 8.87/2.01 | | | | GROUND_INST: instantiating (4) with all_37_1, all_15_7, all_15_2, % 8.87/2.01 | | | | all_15_1, all_37_0, simplifying with (8), (13), (17), (88), % 8.87/2.01 | | | | (90) gives: % 8.87/2.01 | | | | (92) all_37_0 = 0 | ? [v0: int] : ? [v1: int] : ( ~ (v1 = 0) & ~ % 8.87/2.01 | | | | (v0 = 0) & member(all_37_1, all_15_2) = v1 & member(all_37_1, % 8.87/2.01 | | | | all_15_7) = v0) % 8.87/2.01 | | | | % 8.87/2.01 | | | | DELTA: instantiating (91) with fresh symbols all_45_0, all_45_1 gives: % 8.87/2.01 | | | | (93) member(all_37_1, all_15_4) = all_45_1 & member(all_37_1, % 8.87/2.01 | | | | all_15_5) = all_45_0 & (all_45_0 = 0 | all_45_1 = 0) % 8.87/2.01 | | | | % 8.87/2.01 | | | | ALPHA: (93) implies: % 8.87/2.01 | | | | (94) member(all_37_1, all_15_5) = all_45_0 % 8.87/2.01 | | | | (95) member(all_37_1, all_15_4) = all_45_1 % 8.87/2.01 | | | | (96) all_45_0 = 0 | all_45_1 = 0 % 8.87/2.01 | | | | % 8.87/2.01 | | | | BETA: splitting (92) gives: % 8.87/2.01 | | | | % 8.87/2.01 | | | | Case 1: % 8.87/2.01 | | | | | % 8.87/2.01 | | | | | (97) all_37_0 = 0 % 8.87/2.01 | | | | | % 8.87/2.01 | | | | | REDUCE: (87), (97) imply: % 8.87/2.01 | | | | | (98) $false % 8.87/2.01 | | | | | % 8.87/2.01 | | | | | CLOSE: (98) is inconsistent. % 8.87/2.01 | | | | | % 8.87/2.01 | | | | Case 2: % 8.87/2.01 | | | | | % 8.87/2.02 | | | | | (99) ? [v0: int] : ? [v1: int] : ( ~ (v1 = 0) & ~ (v0 = 0) & % 8.87/2.02 | | | | | member(all_37_1, all_15_2) = v1 & member(all_37_1, all_15_7) % 8.87/2.02 | | | | | = v0) % 8.87/2.02 | | | | | % 8.87/2.02 | | | | | DELTA: instantiating (99) with fresh symbols all_51_0, all_51_1 gives: % 8.87/2.02 | | | | | (100) ~ (all_51_0 = 0) & ~ (all_51_1 = 0) & member(all_37_1, % 8.87/2.02 | | | | | all_15_2) = all_51_0 & member(all_37_1, all_15_7) = % 8.87/2.02 | | | | | all_51_1 % 8.87/2.02 | | | | | % 8.87/2.02 | | | | | ALPHA: (100) implies: % 8.87/2.02 | | | | | (101) ~ (all_51_1 = 0) % 8.87/2.02 | | | | | (102) ~ (all_51_0 = 0) % 8.87/2.02 | | | | | (103) member(all_37_1, all_15_7) = all_51_1 % 8.87/2.02 | | | | | (104) member(all_37_1, all_15_2) = all_51_0 % 8.87/2.02 | | | | | % 8.87/2.02 | | | | | GROUND_INST: instantiating (4) with all_37_1, all_15_6, all_15_5, % 8.87/2.02 | | | | | all_15_2, all_51_0, simplifying with (9), (10), (18), % 8.87/2.02 | | | | | (88), (104) gives: % 8.87/2.02 | | | | | (105) all_51_0 = 0 | ? [v0: int] : ? [v1: int] : ( ~ (v1 = 0) & % 8.87/2.02 | | | | | ~ (v0 = 0) & member(all_37_1, all_15_5) = v1 & % 8.87/2.02 | | | | | member(all_37_1, all_15_6) = v0) % 8.87/2.02 | | | | | % 8.87/2.02 | | | | | BETA: splitting (96) gives: % 8.87/2.02 | | | | | % 8.87/2.02 | | | | | Case 1: % 8.87/2.02 | | | | | | % 8.87/2.02 | | | | | | (106) all_45_0 = 0 % 8.87/2.02 | | | | | | % 8.87/2.02 | | | | | | REDUCE: (94), (106) imply: % 8.87/2.02 | | | | | | (107) member(all_37_1, all_15_5) = 0 % 8.87/2.02 | | | | | | % 8.87/2.02 | | | | | | BETA: splitting (105) gives: % 8.87/2.02 | | | | | | % 8.87/2.02 | | | | | | Case 1: % 8.87/2.02 | | | | | | | % 8.87/2.02 | | | | | | | (108) all_51_0 = 0 % 8.87/2.02 | | | | | | | % 8.87/2.02 | | | | | | | REDUCE: (102), (108) imply: % 8.87/2.02 | | | | | | | (109) $false % 8.87/2.02 | | | | | | | % 8.87/2.02 | | | | | | | CLOSE: (109) is inconsistent. % 8.87/2.02 | | | | | | | % 8.87/2.02 | | | | | | Case 2: % 8.87/2.02 | | | | | | | % 8.87/2.02 | | | | | | | (110) ? [v0: int] : ? [v1: int] : ( ~ (v1 = 0) & ~ (v0 = 0) % 8.87/2.02 | | | | | | | & member(all_37_1, all_15_5) = v1 & member(all_37_1, % 8.87/2.02 | | | | | | | all_15_6) = v0) % 8.87/2.02 | | | | | | | % 8.87/2.02 | | | | | | | DELTA: instantiating (110) with fresh symbols all_64_0, all_64_1 % 8.87/2.02 | | | | | | | gives: % 8.87/2.02 | | | | | | | (111) ~ (all_64_0 = 0) & ~ (all_64_1 = 0) & member(all_37_1, % 8.87/2.02 | | | | | | | all_15_5) = all_64_0 & member(all_37_1, all_15_6) = % 8.87/2.02 | | | | | | | all_64_1 % 8.87/2.02 | | | | | | | % 8.87/2.02 | | | | | | | ALPHA: (111) implies: % 8.87/2.02 | | | | | | | (112) ~ (all_64_0 = 0) % 8.87/2.02 | | | | | | | (113) member(all_37_1, all_15_5) = all_64_0 % 8.87/2.02 | | | | | | | % 8.87/2.02 | | | | | | | GROUND_INST: instantiating (5) with 0, all_64_0, all_15_5, % 8.87/2.02 | | | | | | | all_37_1, simplifying with (107), (113) gives: % 8.87/2.02 | | | | | | | (114) all_64_0 = 0 % 8.87/2.02 | | | | | | | % 8.87/2.02 | | | | | | | REDUCE: (112), (114) imply: % 8.87/2.02 | | | | | | | (115) $false % 8.87/2.02 | | | | | | | % 8.87/2.02 | | | | | | | CLOSE: (115) is inconsistent. % 8.87/2.02 | | | | | | | % 8.87/2.02 | | | | | | End of split % 8.87/2.02 | | | | | | % 8.87/2.02 | | | | | Case 2: % 8.87/2.02 | | | | | | % 8.87/2.02 | | | | | | (116) all_45_1 = 0 % 8.87/2.02 | | | | | | % 8.87/2.02 | | | | | | REDUCE: (95), (116) imply: % 8.87/2.02 | | | | | | (117) member(all_37_1, all_15_4) = 0 % 8.87/2.02 | | | | | | % 8.87/2.02 | | | | | | BETA: splitting (105) gives: % 8.87/2.02 | | | | | | % 8.87/2.02 | | | | | | Case 1: % 8.87/2.02 | | | | | | | % 8.87/2.02 | | | | | | | (118) all_51_0 = 0 % 8.87/2.02 | | | | | | | % 8.87/2.02 | | | | | | | REDUCE: (102), (118) imply: % 8.87/2.02 | | | | | | | (119) $false % 8.87/2.02 | | | | | | | % 8.87/2.02 | | | | | | | CLOSE: (119) is inconsistent. % 8.87/2.02 | | | | | | | % 8.87/2.02 | | | | | | Case 2: % 8.87/2.02 | | | | | | | % 8.87/2.02 | | | | | | | (120) ? [v0: int] : ? [v1: int] : ( ~ (v1 = 0) & ~ (v0 = 0) % 8.87/2.02 | | | | | | | & member(all_37_1, all_15_5) = v1 & member(all_37_1, % 8.87/2.02 | | | | | | | all_15_6) = v0) % 8.87/2.02 | | | | | | | % 8.87/2.02 | | | | | | | DELTA: instantiating (120) with fresh symbols all_64_0, all_64_1 % 8.87/2.02 | | | | | | | gives: % 8.87/2.03 | | | | | | | (121) ~ (all_64_0 = 0) & ~ (all_64_1 = 0) & member(all_37_1, % 8.87/2.03 | | | | | | | all_15_5) = all_64_0 & member(all_37_1, all_15_6) = % 8.87/2.03 | | | | | | | all_64_1 % 8.87/2.03 | | | | | | | % 8.87/2.03 | | | | | | | ALPHA: (121) implies: % 8.87/2.03 | | | | | | | (122) ~ (all_64_1 = 0) % 8.87/2.03 | | | | | | | (123) member(all_37_1, all_15_6) = all_64_1 % 8.87/2.03 | | | | | | | % 8.87/2.03 | | | | | | | GROUND_INST: instantiating (3) with all_37_1, all_15_7, all_15_6, % 8.87/2.03 | | | | | | | all_15_4, simplifying with (8), (9), (16), (88), % 8.87/2.03 | | | | | | | (117) gives: % 8.87/2.03 | | | | | | | (124) ? [v0: any] : ? [v1: any] : (member(all_37_1, all_15_6) % 8.87/2.03 | | | | | | | = v1 & member(all_37_1, all_15_7) = v0 & (v1 = 0 | v0 = % 8.87/2.03 | | | | | | | 0)) % 8.87/2.03 | | | | | | | % 8.87/2.03 | | | | | | | DELTA: instantiating (124) with fresh symbols all_75_0, all_75_1 % 8.87/2.03 | | | | | | | gives: % 8.87/2.03 | | | | | | | (125) member(all_37_1, all_15_6) = all_75_0 & member(all_37_1, % 8.87/2.03 | | | | | | | all_15_7) = all_75_1 & (all_75_0 = 0 | all_75_1 = 0) % 9.28/2.03 | | | | | | | % 9.28/2.03 | | | | | | | ALPHA: (125) implies: % 9.28/2.03 | | | | | | | (126) member(all_37_1, all_15_7) = all_75_1 % 9.28/2.03 | | | | | | | (127) member(all_37_1, all_15_6) = all_75_0 % 9.28/2.03 | | | | | | | (128) all_75_0 = 0 | all_75_1 = 0 % 9.28/2.03 | | | | | | | % 9.28/2.03 | | | | | | | GROUND_INST: instantiating (5) with all_51_1, all_75_1, all_15_7, % 9.28/2.03 | | | | | | | all_37_1, simplifying with (103), (126) gives: % 9.28/2.03 | | | | | | | (129) all_75_1 = all_51_1 % 9.28/2.03 | | | | | | | % 9.28/2.03 | | | | | | | GROUND_INST: instantiating (5) with all_64_1, all_75_0, all_15_6, % 9.28/2.03 | | | | | | | all_37_1, simplifying with (123), (127) gives: % 9.28/2.03 | | | | | | | (130) all_75_0 = all_64_1 % 9.28/2.03 | | | | | | | % 9.28/2.03 | | | | | | | BETA: splitting (128) gives: % 9.28/2.03 | | | | | | | % 9.28/2.03 | | | | | | | Case 1: % 9.28/2.03 | | | | | | | | % 9.28/2.03 | | | | | | | | (131) all_75_0 = 0 % 9.28/2.03 | | | | | | | | % 9.28/2.03 | | | | | | | | COMBINE_EQS: (130), (131) imply: % 9.28/2.03 | | | | | | | | (132) all_64_1 = 0 % 9.28/2.03 | | | | | | | | % 9.28/2.03 | | | | | | | | REDUCE: (122), (132) imply: % 9.28/2.03 | | | | | | | | (133) $false % 9.28/2.03 | | | | | | | | % 9.28/2.03 | | | | | | | | CLOSE: (133) is inconsistent. % 9.28/2.03 | | | | | | | | % 9.28/2.03 | | | | | | | Case 2: % 9.28/2.03 | | | | | | | | % 9.28/2.03 | | | | | | | | (134) all_75_1 = 0 % 9.28/2.03 | | | | | | | | % 9.28/2.03 | | | | | | | | COMBINE_EQS: (129), (134) imply: % 9.28/2.03 | | | | | | | | (135) all_51_1 = 0 % 9.28/2.03 | | | | | | | | % 9.28/2.03 | | | | | | | | SIMP: (135) implies: % 9.28/2.03 | | | | | | | | (136) all_51_1 = 0 % 9.28/2.03 | | | | | | | | % 9.28/2.03 | | | | | | | | REDUCE: (101), (136) imply: % 9.28/2.03 | | | | | | | | (137) $false % 9.28/2.03 | | | | | | | | % 9.28/2.03 | | | | | | | | CLOSE: (137) is inconsistent. % 9.28/2.03 | | | | | | | | % 9.28/2.03 | | | | | | | End of split % 9.28/2.03 | | | | | | | % 9.28/2.03 | | | | | | End of split % 9.28/2.03 | | | | | | % 9.28/2.03 | | | | | End of split % 9.28/2.03 | | | | | % 9.28/2.03 | | | | End of split % 9.28/2.03 | | | | % 9.28/2.03 | | | End of split % 9.28/2.03 | | | % 9.28/2.03 | | End of split % 9.28/2.03 | | % 9.28/2.03 | End of split % 9.28/2.03 | % 9.28/2.03 End of proof % 9.28/2.03 % SZS output end Proof for theBenchmark % 9.28/2.03 % 9.28/2.03 1434ms %------------------------------------------------------------------------------