%------------------------------------------------------------------------------ % File : Princess---230619 % Problem : SET746+4 : TPTP v8.1.2. Bugfixed v2.2.1. % Transfm : none % Format : tptp % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s % Computer : n010.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 15:26:15 EDT 2023 % Result : Theorem 11.94s 2.42s % Output : Proof 22.78s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SET746+4 : TPTP v8.1.2. Bugfixed v2.2.1. % 0.00/0.13 % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s % 0.13/0.33 % Computer : n010.cluster.edu % 0.13/0.33 % Model : x86_64 x86_64 % 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.13/0.33 % Memory : 8042.1875MB % 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.13/0.33 % CPULimit : 300 % 0.13/0.33 % WCLimit : 300 % 0.13/0.33 % DateTime : Sat Aug 26 11:41:50 EDT 2023 % 0.13/0.33 % CPUTime : % 0.18/0.61 ________ _____ % 0.18/0.61 ___ __ \_________(_)________________________________ % 0.18/0.61 __ /_/ /_ ___/_ /__ __ \ ___/ _ \_ ___/_ ___/ % 0.18/0.61 _ ____/_ / _ / _ / / / /__ / __/(__ )_(__ ) % 0.18/0.61 /_/ /_/ /_/ /_/ /_/\___/ \___//____/ /____/ % 0.18/0.61 % 0.18/0.61 A Theorem Prover for First-Order Logic modulo Linear Integer Arithmetic % 0.18/0.61 (2023-06-19) % 0.18/0.61 % 0.18/0.61 (c) Philipp Rümmer, 2009-2023 % 0.18/0.61 Contributors: Peter Backeman, Peter Baumgartner, Angelo Brillout, Zafer Esen, % 0.18/0.61 Amanda Stjerna. % 0.18/0.61 Free software under BSD-3-Clause. % 0.18/0.61 % 0.18/0.61 For more information, visit http://www.philipp.ruemmer.org/princess.shtml % 0.18/0.61 % 0.18/0.61 Loading /export/starexec/sandbox/benchmark/theBenchmark.p ... % 0.18/0.62 Running up to 7 provers in parallel. % 0.18/0.64 Prover 0: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893 % 0.18/0.64 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1571432423 % 0.18/0.64 Prover 2: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1065072994 % 0.18/0.64 Prover 3: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996 % 0.18/0.64 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696 % 0.18/0.64 Prover 6: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365 % 0.18/0.64 Prover 5: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288 % 3.35/1.23 Prover 4: Preprocessing ... % 3.35/1.23 Prover 1: Preprocessing ... % 3.35/1.26 Prover 6: Preprocessing ... % 3.35/1.26 Prover 2: Preprocessing ... % 3.35/1.27 Prover 0: Preprocessing ... % 3.35/1.27 Prover 5: Preprocessing ... % 3.35/1.27 Prover 3: Preprocessing ... % 8.33/1.94 Prover 5: Proving ... % 8.88/2.02 Prover 2: Proving ... % 8.88/2.09 Prover 6: Proving ... % 9.04/2.10 Prover 3: Constructing countermodel ... % 10.08/2.13 Prover 1: Constructing countermodel ... % 11.94/2.41 Prover 3: proved (1776ms) % 11.94/2.42 % 11.94/2.42 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p % 11.94/2.42 % 11.94/2.42 Prover 7: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470 % 12.37/2.43 Prover 6: stopped % 12.37/2.45 Prover 4: Constructing countermodel ... % 12.37/2.45 Prover 5: stopped % 12.57/2.46 Prover 2: stopped % 12.57/2.47 Prover 8: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089 % 12.57/2.47 Prover 0: Proving ... % 12.57/2.47 Prover 0: stopped % 12.57/2.47 Prover 10: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=919308125 % 12.57/2.47 Prover 11: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1509710984 % 12.57/2.47 Prover 13: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=1138197443 % 12.96/2.54 Prover 7: Preprocessing ... % 12.96/2.55 Prover 8: Preprocessing ... % 13.22/2.58 Prover 10: Preprocessing ... % 13.22/2.58 Prover 11: Preprocessing ... % 13.22/2.62 Prover 13: Preprocessing ... % 13.22/2.66 Prover 7: Warning: ignoring some quantifiers % 13.22/2.69 Prover 7: Constructing countermodel ... % 13.22/2.75 Prover 10: Warning: ignoring some quantifiers % 13.22/2.78 Prover 10: Constructing countermodel ... % 13.84/2.82 Prover 13: Warning: ignoring some quantifiers % 15.28/2.87 Prover 8: Warning: ignoring some quantifiers % 15.28/2.88 Prover 13: Constructing countermodel ... % 15.28/2.89 Prover 8: Constructing countermodel ... % 15.73/2.92 Prover 10: gave up % 15.73/2.92 Prover 16: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=completeFrugal -randomSeed=-2043353683 % 16.10/2.96 Prover 16: Preprocessing ... % 17.58/3.15 Prover 16: Warning: ignoring some quantifiers % 17.58/3.20 Prover 16: Constructing countermodel ... % 19.06/3.37 Prover 11: Constructing countermodel ... % 21.34/3.68 Prover 1: Found proof (size 341) % 21.34/3.68 Prover 1: proved (3051ms) % 21.34/3.68 Prover 4: stopped % 21.34/3.68 Prover 11: stopped % 21.34/3.68 Prover 13: stopped % 21.34/3.68 Prover 8: stopped % 21.34/3.68 Prover 16: stopped % 21.34/3.68 Prover 7: stopped % 21.34/3.68 % 21.34/3.68 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p % 21.34/3.68 % 22.00/3.83 % SZS output start Proof for theBenchmark % 22.00/3.83 Assumptions after simplification: % 22.00/3.83 --------------------------------- % 22.00/3.83 % 22.00/3.83 (compose_function) % 22.32/3.86 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: % 22.32/3.86 $i] : ! [v6: $i] : ! [v7: $i] : ! [v8: any] : ( ~ (compose_function(v0, % 22.32/3.86 v1, v2, v3, v4) = v7) | ~ (apply(v7, v5, v6) = v8) | ~ $i(v6) | ~ % 22.32/3.86 $i(v5) | ~ $i(v4) | ~ $i(v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v9: % 22.32/3.86 any] : ? [v10: any] : (member(v6, v4) = v10 & member(v5, v2) = v9 & ( ~ % 22.32/3.86 (v10 = 0) | ~ (v9 = 0))) | (( ~ (v8 = 0) | ? [v9: $i] : (apply(v1, v5, % 22.32/3.86 v9) = 0 & apply(v0, v9, v6) = 0 & member(v9, v3) = 0 & $i(v9))) & % 22.32/3.86 (v8 = 0 | ! [v9: $i] : ( ~ (apply(v0, v9, v6) = 0) | ~ $i(v9) | ? [v10: % 22.32/3.86 any] : ? [v11: any] : (apply(v1, v5, v9) = v11 & member(v9, v3) = % 22.32/3.86 v10 & ( ~ (v11 = 0) | ~ (v10 = 0))))))) % 22.32/3.86 % 22.32/3.86 (increasing_function) % 22.32/3.87 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: % 22.32/3.87 int] : (v5 = 0 | ~ (increasing(v0, v1, v2, v3, v4) = v5) | ~ $i(v4) | ~ % 22.32/3.87 $i(v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v6: $i] : ? [v7: $i] : ? % 22.32/3.87 [v8: $i] : ? [v9: $i] : ? [v10: int] : ( ~ (v10 = 0) & apply(v4, v7, v9) = % 22.32/3.87 v10 & apply(v2, v6, v8) = 0 & apply(v0, v8, v9) = 0 & apply(v0, v6, v7) = % 22.32/3.87 0 & member(v9, v3) = 0 & member(v8, v1) = 0 & member(v7, v3) = 0 & % 22.32/3.87 member(v6, v1) = 0 & $i(v9) & $i(v8) & $i(v7) & $i(v6))) & ! [v0: $i] : % 22.32/3.87 ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ( ~ (increasing(v0, v1, % 22.32/3.87 v2, v3, v4) = 0) | ~ $i(v4) | ~ $i(v3) | ~ $i(v2) | ~ $i(v1) | ~ % 22.32/3.87 $i(v0) | ! [v5: $i] : ! [v6: $i] : ! [v7: $i] : ! [v8: $i] : ( ~ % 22.32/3.87 (apply(v0, v7, v8) = 0) | ~ (apply(v0, v5, v6) = 0) | ~ $i(v8) | ~ % 22.32/3.87 $i(v7) | ~ $i(v6) | ~ $i(v5) | ? [v9: any] : ? [v10: any] : ? [v11: % 22.32/3.87 any] : ? [v12: any] : ? [v13: any] : ? [v14: any] : (apply(v4, v6, % 22.32/3.87 v8) = v14 & apply(v2, v5, v7) = v13 & member(v8, v3) = v12 & % 22.32/3.87 member(v7, v1) = v11 & member(v6, v3) = v10 & member(v5, v1) = v9 & ( ~ % 22.32/3.87 (v13 = 0) | ~ (v12 = 0) | ~ (v11 = 0) | ~ (v10 = 0) | ~ (v9 = 0) | % 22.32/3.87 v14 = 0)))) % 22.32/3.87 % 22.32/3.87 (maps) % 22.32/3.87 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: int] : (v3 = 0 | ~ % 22.32/3.87 (maps(v0, v1, v2) = v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v4: $i] : % 22.32/3.87 ? [v5: $i] : ? [v6: $i] : ( ~ (v6 = v5) & apply(v0, v4, v6) = 0 & apply(v0, % 22.32/3.87 v4, v5) = 0 & member(v6, v2) = 0 & member(v5, v2) = 0 & member(v4, v1) = % 22.32/3.87 0 & $i(v6) & $i(v5) & $i(v4)) | ? [v4: $i] : (member(v4, v1) = 0 & $i(v4) % 22.32/3.87 & ! [v5: $i] : ( ~ (apply(v0, v4, v5) = 0) | ~ $i(v5) | ? [v6: int] : ( % 22.32/3.87 ~ (v6 = 0) & member(v5, v2) = v6)))) & ! [v0: $i] : ! [v1: $i] : ! % 22.32/3.87 [v2: $i] : ( ~ (maps(v0, v1, v2) = 0) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ( % 22.32/3.87 ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : (v5 = v4 | ~ (apply(v0, v3, v5) % 22.32/3.87 = 0) | ~ (apply(v0, v3, v4) = 0) | ~ $i(v5) | ~ $i(v4) | ~ $i(v3) % 22.32/3.87 | ? [v6: any] : ? [v7: any] : ? [v8: any] : (member(v5, v2) = v8 & % 22.32/3.87 member(v4, v2) = v7 & member(v3, v1) = v6 & ( ~ (v8 = 0) | ~ (v7 = 0) % 22.32/3.87 | ~ (v6 = 0)))) & ! [v3: $i] : ( ~ (member(v3, v1) = 0) | ~ % 22.32/3.87 $i(v3) | ? [v4: $i] : (apply(v0, v3, v4) = 0 & member(v4, v2) = 0 & % 22.32/3.87 $i(v4))))) % 22.32/3.87 % 22.32/3.87 (thII37) % 22.32/3.87 ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] : ? [v5: % 22.32/3.87 $i] : ? [v6: $i] : ? [v7: $i] : ? [v8: $i] : ? [v9: int] : ( ~ (v9 = 0) % 22.32/3.87 & increasing(v8, v2, v5, v4, v7) = v9 & increasing(v1, v3, v6, v4, v7) = 0 & % 22.32/3.87 increasing(v0, v2, v5, v3, v6) = 0 & compose_function(v1, v0, v2, v3, v4) = % 22.32/3.87 v8 & maps(v1, v3, v4) = 0 & maps(v0, v2, v3) = 0 & $i(v8) & $i(v7) & $i(v6) % 22.32/3.87 & $i(v5) & $i(v4) & $i(v3) & $i(v2) & $i(v1) & $i(v0)) % 22.32/3.87 % 22.32/3.87 (function-axioms) % 22.32/3.88 ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : ! % 22.32/3.88 [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : ! [v7: $i] : (v1 = v0 | % 22.32/3.88 ~ (compose_predicate(v7, v6, v5, v4, v3, v2) = v1) | ~ % 22.32/3.88 (compose_predicate(v7, v6, v5, v4, v3, v2) = v0)) & ! [v0: % 22.32/3.88 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : ! [v3: $i] % 22.32/3.88 : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : (v1 = v0 | ~ (isomorphism(v6, v5, % 22.32/3.88 v4, v3, v2) = v1) | ~ (isomorphism(v6, v5, v4, v3, v2) = v0)) & ! [v0: % 22.32/3.88 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : ! [v3: $i] % 22.32/3.88 : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : (v1 = v0 | ~ (decreasing(v6, v5, % 22.32/3.88 v4, v3, v2) = v1) | ~ (decreasing(v6, v5, v4, v3, v2) = v0)) & ! [v0: % 22.32/3.88 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : ! [v3: $i] % 22.32/3.88 : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : (v1 = v0 | ~ (increasing(v6, v5, % 22.32/3.88 v4, v3, v2) = v1) | ~ (increasing(v6, v5, v4, v3, v2) = v0)) & ! [v0: % 22.32/3.88 $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : % 22.32/3.88 ! [v6: $i] : (v1 = v0 | ~ (compose_function(v6, v5, v4, v3, v2) = v1) | ~ % 22.32/3.88 (compose_function(v6, v5, v4, v3, v2) = v0)) & ! [v0: MultipleValueBool] : % 22.32/3.88 ! [v1: MultipleValueBool] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: % 22.32/3.88 $i] : (v1 = v0 | ~ (inverse_predicate(v5, v4, v3, v2) = v1) | ~ % 22.32/3.88 (inverse_predicate(v5, v4, v3, v2) = v0)) & ! [v0: MultipleValueBool] : ! % 22.32/3.88 [v1: MultipleValueBool] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: % 22.32/3.88 $i] : (v1 = v0 | ~ (equal_maps(v5, v4, v3, v2) = v1) | ~ (equal_maps(v5, % 22.32/3.88 v4, v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: % 22.32/3.88 $i] : ! [v4: $i] : (v1 = v0 | ~ (inverse_image3(v4, v3, v2) = v1) | ~ % 22.32/3.88 (inverse_image3(v4, v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] % 22.32/3.88 : ! [v3: $i] : ! [v4: $i] : (v1 = v0 | ~ (image3(v4, v3, v2) = v1) | ~ % 22.32/3.88 (image3(v4, v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! % 22.32/3.88 [v3: $i] : ! [v4: $i] : (v1 = v0 | ~ (inverse_function(v4, v3, v2) = v1) | % 22.32/3.88 ~ (inverse_function(v4, v3, v2) = v0)) & ! [v0: MultipleValueBool] : ! % 22.32/3.88 [v1: MultipleValueBool] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : (v1 = v0 | % 22.32/3.88 ~ (one_to_one(v4, v3, v2) = v1) | ~ (one_to_one(v4, v3, v2) = v0)) & ! % 22.32/3.88 [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : ! [v3: % 22.32/3.88 $i] : ! [v4: $i] : (v1 = v0 | ~ (surjective(v4, v3, v2) = v1) | ~ % 22.32/3.88 (surjective(v4, v3, v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1: % 22.32/3.88 MultipleValueBool] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : (v1 = v0 | ~ % 22.32/3.88 (injective(v4, v3, v2) = v1) | ~ (injective(v4, v3, v2) = v0)) & ! [v0: % 22.32/3.88 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : ! [v3: $i] % 22.32/3.88 : ! [v4: $i] : (v1 = v0 | ~ (maps(v4, v3, v2) = v1) | ~ (maps(v4, v3, v2) = % 22.32/3.88 v0)) & ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: % 22.32/3.88 $i] : ! [v3: $i] : ! [v4: $i] : (v1 = v0 | ~ (apply(v4, v3, v2) = v1) | % 22.32/3.88 ~ (apply(v4, v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! % 22.32/3.88 [v3: $i] : (v1 = v0 | ~ (inverse_image2(v3, v2) = v1) | ~ % 22.32/3.88 (inverse_image2(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : % 22.32/3.88 ! [v3: $i] : (v1 = v0 | ~ (image2(v3, v2) = v1) | ~ (image2(v3, v2) = v0)) & % 22.32/3.88 ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : ! % 22.32/3.88 [v3: $i] : (v1 = v0 | ~ (identity(v3, v2) = v1) | ~ (identity(v3, v2) = v0)) % 22.32/3.88 & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 22.32/3.88 (unordered_pair(v3, v2) = v1) | ~ (unordered_pair(v3, v2) = v0)) & ! [v0: % 22.32/3.88 $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 22.32/3.88 (difference(v3, v2) = v1) | ~ (difference(v3, v2) = v0)) & ! [v0: $i] : ! % 22.32/3.88 [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ (union(v3, v2) = v1) | ~ % 22.32/3.88 (union(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: % 22.32/3.88 $i] : (v1 = v0 | ~ (intersection(v3, v2) = v1) | ~ (intersection(v3, v2) = % 22.32/3.88 v0)) & ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: % 22.32/3.88 $i] : ! [v3: $i] : (v1 = v0 | ~ (equal_set(v3, v2) = v1) | ~ % 22.32/3.88 (equal_set(v3, v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1: % 22.32/3.88 MultipleValueBool] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ (subset(v3, % 22.32/3.88 v2) = v1) | ~ (subset(v3, v2) = v0)) & ! [v0: MultipleValueBool] : ! % 22.32/3.88 [v1: MultipleValueBool] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 22.32/3.88 (member(v3, v2) = v1) | ~ (member(v3, v2) = v0)) & ! [v0: $i] : ! [v1: % 22.32/3.88 $i] : ! [v2: $i] : (v1 = v0 | ~ (product(v2) = v1) | ~ (product(v2) = % 22.32/3.88 v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (sum(v2) = % 22.32/3.88 v1) | ~ (sum(v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = % 22.32/3.88 v0 | ~ (singleton(v2) = v1) | ~ (singleton(v2) = v0)) & ! [v0: $i] : ! % 22.32/3.88 [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (power_set(v2) = v1) | ~ % 22.32/3.88 (power_set(v2) = v0)) % 22.32/3.88 % 22.32/3.88 Further assumptions not needed in the proof: % 22.32/3.88 -------------------------------------------- % 22.32/3.88 compose_predicate, decreasing_function, difference, empty_set, equal_maps, % 22.32/3.88 equal_set, identity, image2, image3, injective, intersection, inverse_function, % 22.32/3.88 inverse_image2, inverse_image3, inverse_predicate, isomorphism, one_to_one, % 22.32/3.88 power_set, product, singleton, subset, sum, surjective, union, unordered_pair % 22.32/3.88 % 22.32/3.88 Those formulas are unsatisfiable: % 22.32/3.88 --------------------------------- % 22.32/3.88 % 22.32/3.88 Begin of proof % 22.32/3.88 | % 22.32/3.88 | ALPHA: (maps) implies: % 22.32/3.88 | (1) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ (maps(v0, v1, v2) = 0) | % 22.32/3.88 | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ( ! [v3: $i] : ! [v4: $i] : ! % 22.32/3.88 | [v5: $i] : (v5 = v4 | ~ (apply(v0, v3, v5) = 0) | ~ (apply(v0, % 22.32/3.88 | v3, v4) = 0) | ~ $i(v5) | ~ $i(v4) | ~ $i(v3) | ? [v6: % 22.32/3.88 | any] : ? [v7: any] : ? [v8: any] : (member(v5, v2) = v8 & % 22.32/3.88 | member(v4, v2) = v7 & member(v3, v1) = v6 & ( ~ (v8 = 0) | ~ % 22.32/3.88 | (v7 = 0) | ~ (v6 = 0)))) & ! [v3: $i] : ( ~ (member(v3, v1) % 22.32/3.88 | = 0) | ~ $i(v3) | ? [v4: $i] : (apply(v0, v3, v4) = 0 & % 22.32/3.88 | member(v4, v2) = 0 & $i(v4))))) % 22.32/3.88 | % 22.32/3.88 | ALPHA: (increasing_function) implies: % 22.32/3.89 | (2) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ( % 22.32/3.89 | ~ (increasing(v0, v1, v2, v3, v4) = 0) | ~ $i(v4) | ~ $i(v3) | ~ % 22.32/3.89 | $i(v2) | ~ $i(v1) | ~ $i(v0) | ! [v5: $i] : ! [v6: $i] : ! [v7: % 22.32/3.89 | $i] : ! [v8: $i] : ( ~ (apply(v0, v7, v8) = 0) | ~ (apply(v0, v5, % 22.32/3.89 | v6) = 0) | ~ $i(v8) | ~ $i(v7) | ~ $i(v6) | ~ $i(v5) | ? % 22.32/3.89 | [v9: any] : ? [v10: any] : ? [v11: any] : ? [v12: any] : ? % 22.32/3.89 | [v13: any] : ? [v14: any] : (apply(v4, v6, v8) = v14 & apply(v2, % 22.32/3.89 | v5, v7) = v13 & member(v8, v3) = v12 & member(v7, v1) = v11 & % 22.32/3.89 | member(v6, v3) = v10 & member(v5, v1) = v9 & ( ~ (v13 = 0) | ~ % 22.32/3.89 | (v12 = 0) | ~ (v11 = 0) | ~ (v10 = 0) | ~ (v9 = 0) | v14 = % 22.32/3.89 | 0)))) % 22.32/3.89 | (3) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : % 22.32/3.89 | ! [v5: int] : (v5 = 0 | ~ (increasing(v0, v1, v2, v3, v4) = v5) | ~ % 22.32/3.89 | $i(v4) | ~ $i(v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v6: $i] % 22.32/3.89 | : ? [v7: $i] : ? [v8: $i] : ? [v9: $i] : ? [v10: int] : ( ~ (v10 % 22.32/3.89 | = 0) & apply(v4, v7, v9) = v10 & apply(v2, v6, v8) = 0 & % 22.32/3.89 | apply(v0, v8, v9) = 0 & apply(v0, v6, v7) = 0 & member(v9, v3) = 0 % 22.32/3.89 | & member(v8, v1) = 0 & member(v7, v3) = 0 & member(v6, v1) = 0 & % 22.32/3.89 | $i(v9) & $i(v8) & $i(v7) & $i(v6))) % 22.32/3.89 | % 22.32/3.89 | ALPHA: (function-axioms) implies: % 22.32/3.89 | (4) ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : % 22.32/3.89 | ! [v3: $i] : (v1 = v0 | ~ (member(v3, v2) = v1) | ~ (member(v3, v2) % 22.32/3.89 | = v0)) % 22.32/3.89 | (5) ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : % 22.32/3.89 | ! [v3: $i] : ! [v4: $i] : (v1 = v0 | ~ (apply(v4, v3, v2) = v1) | ~ % 22.32/3.89 | (apply(v4, v3, v2) = v0)) % 22.32/3.89 | % 22.32/3.89 | DELTA: instantiating (thII37) with fresh symbols all_32_0, all_32_1, all_32_2, % 22.32/3.89 | all_32_3, all_32_4, all_32_5, all_32_6, all_32_7, all_32_8, all_32_9 % 22.32/3.89 | gives: % 22.32/3.89 | (6) ~ (all_32_0 = 0) & increasing(all_32_1, all_32_7, all_32_4, all_32_5, % 22.32/3.89 | all_32_2) = all_32_0 & increasing(all_32_8, all_32_6, all_32_3, % 22.32/3.89 | all_32_5, all_32_2) = 0 & increasing(all_32_9, all_32_7, all_32_4, % 22.32/3.89 | all_32_6, all_32_3) = 0 & compose_function(all_32_8, all_32_9, % 22.32/3.89 | all_32_7, all_32_6, all_32_5) = all_32_1 & maps(all_32_8, all_32_6, % 22.32/3.89 | all_32_5) = 0 & maps(all_32_9, all_32_7, all_32_6) = 0 & $i(all_32_1) % 22.32/3.89 | & $i(all_32_2) & $i(all_32_3) & $i(all_32_4) & $i(all_32_5) & % 22.32/3.89 | $i(all_32_6) & $i(all_32_7) & $i(all_32_8) & $i(all_32_9) % 22.32/3.89 | % 22.32/3.89 | ALPHA: (6) implies: % 22.32/3.89 | (7) ~ (all_32_0 = 0) % 22.32/3.89 | (8) $i(all_32_9) % 22.32/3.89 | (9) $i(all_32_8) % 22.32/3.89 | (10) $i(all_32_7) % 22.32/3.89 | (11) $i(all_32_6) % 22.32/3.89 | (12) $i(all_32_5) % 22.32/3.89 | (13) $i(all_32_4) % 22.32/3.89 | (14) $i(all_32_3) % 22.32/3.89 | (15) $i(all_32_2) % 22.32/3.89 | (16) $i(all_32_1) % 22.32/3.89 | (17) maps(all_32_9, all_32_7, all_32_6) = 0 % 22.32/3.89 | (18) compose_function(all_32_8, all_32_9, all_32_7, all_32_6, all_32_5) = % 22.32/3.89 | all_32_1 % 22.32/3.89 | (19) increasing(all_32_9, all_32_7, all_32_4, all_32_6, all_32_3) = 0 % 22.32/3.89 | (20) increasing(all_32_8, all_32_6, all_32_3, all_32_5, all_32_2) = 0 % 22.32/3.89 | (21) increasing(all_32_1, all_32_7, all_32_4, all_32_5, all_32_2) = % 22.32/3.89 | all_32_0 % 22.32/3.89 | % 22.32/3.89 | GROUND_INST: instantiating (1) with all_32_9, all_32_7, all_32_6, simplifying % 22.32/3.89 | with (8), (10), (11), (17) gives: % 22.32/3.89 | (22) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v2 = v1 | ~ % 22.32/3.89 | (apply(all_32_9, v0, v2) = 0) | ~ (apply(all_32_9, v0, v1) = 0) | % 22.32/3.89 | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v3: any] : ? [v4: any] : ? % 22.32/3.89 | [v5: any] : (member(v2, all_32_6) = v5 & member(v1, all_32_6) = v4 & % 22.32/3.89 | member(v0, all_32_7) = v3 & ( ~ (v5 = 0) | ~ (v4 = 0) | ~ (v3 = % 22.32/3.89 | 0)))) & ! [v0: $i] : ( ~ (member(v0, all_32_7) = 0) | ~ % 22.32/3.89 | $i(v0) | ? [v1: $i] : (apply(all_32_9, v0, v1) = 0 & member(v1, % 22.32/3.89 | all_32_6) = 0 & $i(v1))) % 22.32/3.89 | % 22.32/3.89 | ALPHA: (22) implies: % 22.32/3.90 | (23) ! [v0: $i] : ( ~ (member(v0, all_32_7) = 0) | ~ $i(v0) | ? [v1: $i] % 22.32/3.90 | : (apply(all_32_9, v0, v1) = 0 & member(v1, all_32_6) = 0 & $i(v1))) % 22.32/3.90 | % 22.32/3.90 | GROUND_INST: instantiating (2) with all_32_9, all_32_7, all_32_4, all_32_6, % 22.32/3.90 | all_32_3, simplifying with (8), (10), (11), (13), (14), (19) % 22.32/3.90 | gives: % 22.32/3.90 | (24) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~ % 22.32/3.90 | (apply(all_32_9, v2, v3) = 0) | ~ (apply(all_32_9, v0, v1) = 0) | % 22.32/3.90 | ~ $i(v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v4: any] : ? % 22.32/3.90 | [v5: any] : ? [v6: any] : ? [v7: any] : ? [v8: any] : ? [v9: % 22.32/3.90 | any] : (apply(all_32_3, v1, v3) = v9 & apply(all_32_4, v0, v2) = % 22.32/3.90 | v8 & member(v3, all_32_6) = v7 & member(v2, all_32_7) = v6 & % 22.32/3.90 | member(v1, all_32_6) = v5 & member(v0, all_32_7) = v4 & ( ~ (v8 = % 22.32/3.90 | 0) | ~ (v7 = 0) | ~ (v6 = 0) | ~ (v5 = 0) | ~ (v4 = 0) | % 22.32/3.90 | v9 = 0))) % 22.32/3.90 | % 22.32/3.90 | GROUND_INST: instantiating (2) with all_32_8, all_32_6, all_32_3, all_32_5, % 22.32/3.90 | all_32_2, simplifying with (9), (11), (12), (14), (15), (20) % 22.32/3.90 | gives: % 22.32/3.90 | (25) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~ % 22.32/3.90 | (apply(all_32_8, v2, v3) = 0) | ~ (apply(all_32_8, v0, v1) = 0) | % 22.32/3.90 | ~ $i(v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v4: any] : ? % 22.32/3.90 | [v5: any] : ? [v6: any] : ? [v7: any] : ? [v8: any] : ? [v9: % 22.32/3.90 | any] : (apply(all_32_2, v1, v3) = v9 & apply(all_32_3, v0, v2) = % 22.32/3.90 | v8 & member(v3, all_32_5) = v7 & member(v2, all_32_6) = v6 & % 22.32/3.90 | member(v1, all_32_5) = v5 & member(v0, all_32_6) = v4 & ( ~ (v8 = % 22.32/3.90 | 0) | ~ (v7 = 0) | ~ (v6 = 0) | ~ (v5 = 0) | ~ (v4 = 0) | % 22.32/3.90 | v9 = 0))) % 22.32/3.90 | % 22.32/3.90 | GROUND_INST: instantiating (3) with all_32_1, all_32_7, all_32_4, all_32_5, % 22.32/3.90 | all_32_2, all_32_0, simplifying with (10), (12), (13), (15), % 22.32/3.90 | (16), (21) gives: % 22.32/3.90 | (26) all_32_0 = 0 | ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : % 22.32/3.90 | ? [v4: int] : ( ~ (v4 = 0) & apply(all_32_1, v2, v3) = 0 & % 22.32/3.90 | apply(all_32_1, v0, v1) = 0 & apply(all_32_2, v1, v3) = v4 & % 22.32/3.90 | apply(all_32_4, v0, v2) = 0 & member(v3, all_32_5) = 0 & member(v2, % 22.32/3.90 | all_32_7) = 0 & member(v1, all_32_5) = 0 & member(v0, all_32_7) = % 22.32/3.90 | 0 & $i(v3) & $i(v2) & $i(v1) & $i(v0)) % 22.32/3.90 | % 22.32/3.90 | BETA: splitting (26) gives: % 22.32/3.90 | % 22.32/3.90 | Case 1: % 22.32/3.90 | | % 22.32/3.90 | | (27) all_32_0 = 0 % 22.32/3.90 | | % 22.32/3.90 | | REDUCE: (7), (27) imply: % 22.32/3.90 | | (28) $false % 22.32/3.90 | | % 22.32/3.90 | | CLOSE: (28) is inconsistent. % 22.32/3.90 | | % 22.32/3.90 | Case 2: % 22.32/3.90 | | % 22.32/3.90 | | (29) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: int] % 22.32/3.90 | | : ( ~ (v4 = 0) & apply(all_32_1, v2, v3) = 0 & apply(all_32_1, v0, % 22.32/3.90 | | v1) = 0 & apply(all_32_2, v1, v3) = v4 & apply(all_32_4, v0, v2) % 22.32/3.90 | | = 0 & member(v3, all_32_5) = 0 & member(v2, all_32_7) = 0 & % 22.32/3.90 | | member(v1, all_32_5) = 0 & member(v0, all_32_7) = 0 & $i(v3) & % 22.32/3.90 | | $i(v2) & $i(v1) & $i(v0)) % 22.32/3.90 | | % 22.32/3.90 | | DELTA: instantiating (29) with fresh symbols all_46_0, all_46_1, all_46_2, % 22.32/3.90 | | all_46_3, all_46_4 gives: % 22.32/3.90 | | (30) ~ (all_46_0 = 0) & apply(all_32_1, all_46_2, all_46_1) = 0 & % 22.32/3.90 | | apply(all_32_1, all_46_4, all_46_3) = 0 & apply(all_32_2, all_46_3, % 22.32/3.90 | | all_46_1) = all_46_0 & apply(all_32_4, all_46_4, all_46_2) = 0 & % 22.32/3.90 | | member(all_46_1, all_32_5) = 0 & member(all_46_2, all_32_7) = 0 & % 22.32/3.90 | | member(all_46_3, all_32_5) = 0 & member(all_46_4, all_32_7) = 0 & % 22.32/3.90 | | $i(all_46_1) & $i(all_46_2) & $i(all_46_3) & $i(all_46_4) % 22.32/3.90 | | % 22.32/3.90 | | ALPHA: (30) implies: % 22.32/3.91 | | (31) ~ (all_46_0 = 0) % 22.32/3.91 | | (32) $i(all_46_4) % 22.32/3.91 | | (33) $i(all_46_3) % 22.32/3.91 | | (34) $i(all_46_2) % 22.32/3.91 | | (35) $i(all_46_1) % 22.32/3.91 | | (36) member(all_46_4, all_32_7) = 0 % 22.32/3.91 | | (37) member(all_46_3, all_32_5) = 0 % 22.32/3.91 | | (38) member(all_46_2, all_32_7) = 0 % 22.32/3.91 | | (39) member(all_46_1, all_32_5) = 0 % 22.32/3.91 | | (40) apply(all_32_4, all_46_4, all_46_2) = 0 % 22.32/3.91 | | (41) apply(all_32_2, all_46_3, all_46_1) = all_46_0 % 22.32/3.91 | | (42) apply(all_32_1, all_46_4, all_46_3) = 0 % 22.32/3.91 | | (43) apply(all_32_1, all_46_2, all_46_1) = 0 % 22.32/3.91 | | % 22.32/3.91 | | GROUND_INST: instantiating (23) with all_46_4, simplifying with (32), (36) % 22.32/3.91 | | gives: % 22.32/3.91 | | (44) ? [v0: $i] : (apply(all_32_9, all_46_4, v0) = 0 & member(v0, % 22.32/3.91 | | all_32_6) = 0 & $i(v0)) % 22.32/3.91 | | % 22.32/3.91 | | GROUND_INST: instantiating (23) with all_46_2, simplifying with (34), (38) % 22.32/3.91 | | gives: % 22.32/3.91 | | (45) ? [v0: $i] : (apply(all_32_9, all_46_2, v0) = 0 & member(v0, % 22.32/3.91 | | all_32_6) = 0 & $i(v0)) % 22.32/3.91 | | % 22.32/3.91 | | GROUND_INST: instantiating (compose_function) with all_32_8, all_32_9, % 22.32/3.91 | | all_32_7, all_32_6, all_32_5, all_46_4, all_46_3, all_32_1, 0, % 22.32/3.91 | | simplifying with (8), (9), (10), (11), (12), (18), (32), (33), % 22.32/3.91 | | (42) gives: % 22.58/3.91 | | (46) ? [v0: any] : ? [v1: any] : (member(all_46_3, all_32_5) = v1 & % 22.58/3.91 | | member(all_46_4, all_32_7) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0))) | % 22.58/3.91 | | ? [v0: $i] : (apply(all_32_8, v0, all_46_3) = 0 & apply(all_32_9, % 22.58/3.91 | | all_46_4, v0) = 0 & member(v0, all_32_6) = 0 & $i(v0)) % 22.58/3.91 | | % 22.58/3.91 | | GROUND_INST: instantiating (compose_function) with all_32_8, all_32_9, % 22.58/3.91 | | all_32_7, all_32_6, all_32_5, all_46_2, all_46_1, all_32_1, 0, % 22.58/3.91 | | simplifying with (8), (9), (10), (11), (12), (18), (34), (35), % 22.58/3.91 | | (43) gives: % 22.58/3.91 | | (47) ? [v0: any] : ? [v1: any] : (member(all_46_1, all_32_5) = v1 & % 22.58/3.91 | | member(all_46_2, all_32_7) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0))) | % 22.58/3.91 | | ? [v0: $i] : (apply(all_32_8, v0, all_46_1) = 0 & apply(all_32_9, % 22.58/3.91 | | all_46_2, v0) = 0 & member(v0, all_32_6) = 0 & $i(v0)) % 22.58/3.91 | | % 22.58/3.91 | | DELTA: instantiating (45) with fresh symbol all_53_0 gives: % 22.58/3.91 | | (48) apply(all_32_9, all_46_2, all_53_0) = 0 & member(all_53_0, all_32_6) % 22.58/3.91 | | = 0 & $i(all_53_0) % 22.58/3.91 | | % 22.58/3.91 | | ALPHA: (48) implies: % 22.58/3.91 | | (49) $i(all_53_0) % 22.58/3.91 | | (50) apply(all_32_9, all_46_2, all_53_0) = 0 % 22.58/3.91 | | % 22.58/3.91 | | DELTA: instantiating (44) with fresh symbol all_55_0 gives: % 22.58/3.91 | | (51) apply(all_32_9, all_46_4, all_55_0) = 0 & member(all_55_0, all_32_6) % 22.58/3.91 | | = 0 & $i(all_55_0) % 22.58/3.91 | | % 22.58/3.91 | | ALPHA: (51) implies: % 22.58/3.91 | | (52) $i(all_55_0) % 22.58/3.91 | | (53) apply(all_32_9, all_46_4, all_55_0) = 0 % 22.58/3.91 | | % 22.58/3.91 | | BETA: splitting (47) gives: % 22.58/3.91 | | % 22.58/3.91 | | Case 1: % 22.58/3.91 | | | % 22.58/3.91 | | | (54) ? [v0: any] : ? [v1: any] : (member(all_46_1, all_32_5) = v1 & % 22.58/3.91 | | | member(all_46_2, all_32_7) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0))) % 22.58/3.91 | | | % 22.58/3.91 | | | DELTA: instantiating (54) with fresh symbols all_60_0, all_60_1 gives: % 22.58/3.92 | | | (55) member(all_46_1, all_32_5) = all_60_0 & member(all_46_2, all_32_7) % 22.58/3.92 | | | = all_60_1 & ( ~ (all_60_0 = 0) | ~ (all_60_1 = 0)) % 22.58/3.92 | | | % 22.58/3.92 | | | ALPHA: (55) implies: % 22.58/3.92 | | | (56) member(all_46_2, all_32_7) = all_60_1 % 22.58/3.92 | | | (57) member(all_46_1, all_32_5) = all_60_0 % 22.58/3.92 | | | (58) ~ (all_60_0 = 0) | ~ (all_60_1 = 0) % 22.58/3.92 | | | % 22.58/3.92 | | | GROUND_INST: instantiating (4) with 0, all_60_1, all_32_7, all_46_2, % 22.58/3.92 | | | simplifying with (38), (56) gives: % 22.58/3.92 | | | (59) all_60_1 = 0 % 22.58/3.92 | | | % 22.58/3.92 | | | GROUND_INST: instantiating (4) with 0, all_60_0, all_32_5, all_46_1, % 22.58/3.92 | | | simplifying with (39), (57) gives: % 22.58/3.92 | | | (60) all_60_0 = 0 % 22.58/3.92 | | | % 22.58/3.92 | | | BETA: splitting (58) gives: % 22.58/3.92 | | | % 22.58/3.92 | | | Case 1: % 22.58/3.92 | | | | % 22.58/3.92 | | | | (61) ~ (all_60_0 = 0) % 22.58/3.92 | | | | % 22.58/3.92 | | | | REDUCE: (60), (61) imply: % 22.58/3.92 | | | | (62) $false % 22.58/3.92 | | | | % 22.58/3.92 | | | | CLOSE: (62) is inconsistent. % 22.58/3.92 | | | | % 22.58/3.92 | | | Case 2: % 22.58/3.92 | | | | % 22.58/3.92 | | | | (63) ~ (all_60_1 = 0) % 22.58/3.92 | | | | % 22.58/3.92 | | | | REDUCE: (59), (63) imply: % 22.58/3.92 | | | | (64) $false % 22.58/3.92 | | | | % 22.58/3.92 | | | | CLOSE: (64) is inconsistent. % 22.58/3.92 | | | | % 22.58/3.92 | | | End of split % 22.58/3.92 | | | % 22.58/3.92 | | Case 2: % 22.58/3.92 | | | % 22.58/3.92 | | | (65) ? [v0: $i] : (apply(all_32_8, v0, all_46_1) = 0 & apply(all_32_9, % 22.58/3.92 | | | all_46_2, v0) = 0 & member(v0, all_32_6) = 0 & $i(v0)) % 22.58/3.92 | | | % 22.58/3.92 | | | DELTA: instantiating (65) with fresh symbol all_60_0 gives: % 22.58/3.92 | | | (66) apply(all_32_8, all_60_0, all_46_1) = 0 & apply(all_32_9, % 22.58/3.92 | | | all_46_2, all_60_0) = 0 & member(all_60_0, all_32_6) = 0 & % 22.58/3.92 | | | $i(all_60_0) % 22.58/3.92 | | | % 22.58/3.92 | | | ALPHA: (66) implies: % 22.58/3.92 | | | (67) $i(all_60_0) % 22.58/3.92 | | | (68) member(all_60_0, all_32_6) = 0 % 22.58/3.92 | | | (69) apply(all_32_9, all_46_2, all_60_0) = 0 % 22.58/3.92 | | | (70) apply(all_32_8, all_60_0, all_46_1) = 0 % 22.58/3.92 | | | % 22.58/3.92 | | | BETA: splitting (46) gives: % 22.58/3.92 | | | % 22.58/3.92 | | | Case 1: % 22.58/3.92 | | | | % 22.58/3.92 | | | | (71) ? [v0: any] : ? [v1: any] : (member(all_46_3, all_32_5) = v1 & % 22.58/3.92 | | | | member(all_46_4, all_32_7) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0))) % 22.58/3.92 | | | | % 22.58/3.92 | | | | DELTA: instantiating (71) with fresh symbols all_64_0, all_64_1 gives: % 22.58/3.92 | | | | (72) member(all_46_3, all_32_5) = all_64_0 & member(all_46_4, % 22.58/3.92 | | | | all_32_7) = all_64_1 & ( ~ (all_64_0 = 0) | ~ (all_64_1 = 0)) % 22.58/3.92 | | | | % 22.58/3.92 | | | | ALPHA: (72) implies: % 22.58/3.92 | | | | (73) member(all_46_4, all_32_7) = all_64_1 % 22.58/3.92 | | | | (74) member(all_46_3, all_32_5) = all_64_0 % 22.58/3.92 | | | | (75) ~ (all_64_0 = 0) | ~ (all_64_1 = 0) % 22.58/3.92 | | | | % 22.58/3.92 | | | | GROUND_INST: instantiating (4) with 0, all_64_1, all_32_7, all_46_4, % 22.58/3.92 | | | | simplifying with (36), (73) gives: % 22.58/3.92 | | | | (76) all_64_1 = 0 % 22.58/3.92 | | | | % 22.58/3.92 | | | | GROUND_INST: instantiating (4) with 0, all_64_0, all_32_5, all_46_3, % 22.58/3.92 | | | | simplifying with (37), (74) gives: % 22.58/3.92 | | | | (77) all_64_0 = 0 % 22.58/3.92 | | | | % 22.58/3.92 | | | | BETA: splitting (75) gives: % 22.58/3.92 | | | | % 22.58/3.92 | | | | Case 1: % 22.58/3.92 | | | | | % 22.58/3.92 | | | | | (78) ~ (all_64_0 = 0) % 22.58/3.92 | | | | | % 22.58/3.92 | | | | | REDUCE: (77), (78) imply: % 22.58/3.92 | | | | | (79) $false % 22.58/3.92 | | | | | % 22.58/3.92 | | | | | CLOSE: (79) is inconsistent. % 22.58/3.92 | | | | | % 22.58/3.92 | | | | Case 2: % 22.58/3.92 | | | | | % 22.58/3.92 | | | | | (80) ~ (all_64_1 = 0) % 22.58/3.92 | | | | | % 22.58/3.92 | | | | | REDUCE: (76), (80) imply: % 22.58/3.92 | | | | | (81) $false % 22.58/3.92 | | | | | % 22.58/3.92 | | | | | CLOSE: (81) is inconsistent. % 22.58/3.92 | | | | | % 22.58/3.92 | | | | End of split % 22.58/3.92 | | | | % 22.58/3.92 | | | Case 2: % 22.58/3.92 | | | | % 22.58/3.92 | | | | (82) ? [v0: $i] : (apply(all_32_8, v0, all_46_3) = 0 & % 22.58/3.92 | | | | apply(all_32_9, all_46_4, v0) = 0 & member(v0, all_32_6) = 0 & % 22.58/3.92 | | | | $i(v0)) % 22.58/3.92 | | | | % 22.58/3.92 | | | | DELTA: instantiating (82) with fresh symbol all_64_0 gives: % 22.58/3.92 | | | | (83) apply(all_32_8, all_64_0, all_46_3) = 0 & apply(all_32_9, % 22.58/3.92 | | | | all_46_4, all_64_0) = 0 & member(all_64_0, all_32_6) = 0 & % 22.58/3.92 | | | | $i(all_64_0) % 22.58/3.92 | | | | % 22.58/3.92 | | | | ALPHA: (83) implies: % 22.58/3.92 | | | | (84) $i(all_64_0) % 22.58/3.92 | | | | (85) member(all_64_0, all_32_6) = 0 % 22.58/3.92 | | | | (86) apply(all_32_9, all_46_4, all_64_0) = 0 % 22.58/3.92 | | | | (87) apply(all_32_8, all_64_0, all_46_3) = 0 % 22.58/3.92 | | | | % 22.58/3.92 | | | | GROUND_INST: instantiating (24) with all_46_4, all_55_0, all_46_4, % 22.58/3.92 | | | | all_55_0, simplifying with (32), (52), (53) gives: % 22.58/3.92 | | | | (88) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? [v3: any] : ? % 22.58/3.92 | | | | [v4: any] : ? [v5: any] : (apply(all_32_3, all_55_0, all_55_0) % 22.58/3.92 | | | | = v5 & apply(all_32_4, all_46_4, all_46_4) = v4 & % 22.58/3.92 | | | | member(all_55_0, all_32_6) = v3 & member(all_55_0, all_32_6) = % 22.58/3.92 | | | | v1 & member(all_46_4, all_32_7) = v2 & member(all_46_4, % 22.58/3.92 | | | | all_32_7) = v0 & ( ~ (v4 = 0) | ~ (v3 = 0) | ~ (v2 = 0) | % 22.58/3.92 | | | | ~ (v1 = 0) | ~ (v0 = 0) | v5 = 0)) % 22.58/3.93 | | | | % 22.58/3.93 | | | | GROUND_INST: instantiating (24) with all_46_4, all_64_0, all_46_4, % 22.58/3.93 | | | | all_64_0, simplifying with (32), (84), (86) gives: % 22.58/3.93 | | | | (89) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? [v3: any] : ? % 22.58/3.93 | | | | [v4: any] : ? [v5: any] : (apply(all_32_3, all_64_0, all_64_0) % 22.58/3.93 | | | | = v5 & apply(all_32_4, all_46_4, all_46_4) = v4 & % 22.58/3.93 | | | | member(all_64_0, all_32_6) = v3 & member(all_64_0, all_32_6) = % 22.58/3.93 | | | | v1 & member(all_46_4, all_32_7) = v2 & member(all_46_4, % 22.58/3.93 | | | | all_32_7) = v0 & ( ~ (v4 = 0) | ~ (v3 = 0) | ~ (v2 = 0) | % 22.58/3.93 | | | | ~ (v1 = 0) | ~ (v0 = 0) | v5 = 0)) % 22.58/3.93 | | | | % 22.58/3.93 | | | | GROUND_INST: instantiating (24) with all_46_4, all_55_0, all_46_4, % 22.58/3.93 | | | | all_64_0, simplifying with (32), (52), (53), (84), (86) % 22.58/3.93 | | | | gives: % 22.58/3.93 | | | | (90) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? [v3: any] : ? % 22.58/3.93 | | | | [v4: any] : ? [v5: any] : (apply(all_32_3, all_55_0, all_64_0) % 22.58/3.93 | | | | = v5 & apply(all_32_4, all_46_4, all_46_4) = v4 & % 22.58/3.93 | | | | member(all_64_0, all_32_6) = v3 & member(all_55_0, all_32_6) = % 22.58/3.93 | | | | v1 & member(all_46_4, all_32_7) = v2 & member(all_46_4, % 22.58/3.93 | | | | all_32_7) = v0 & ( ~ (v4 = 0) | ~ (v3 = 0) | ~ (v2 = 0) | % 22.58/3.93 | | | | ~ (v1 = 0) | ~ (v0 = 0) | v5 = 0)) % 22.58/3.93 | | | | % 22.58/3.93 | | | | GROUND_INST: instantiating (24) with all_46_4, all_64_0, all_46_4, % 22.58/3.93 | | | | all_55_0, simplifying with (32), (52), (53), (84), (86) % 22.58/3.93 | | | | gives: % 22.58/3.93 | | | | (91) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? [v3: any] : ? % 22.58/3.93 | | | | [v4: any] : ? [v5: any] : (apply(all_32_3, all_64_0, all_55_0) % 22.58/3.93 | | | | = v5 & apply(all_32_4, all_46_4, all_46_4) = v4 & % 22.58/3.93 | | | | member(all_64_0, all_32_6) = v1 & member(all_55_0, all_32_6) = % 22.58/3.93 | | | | v3 & member(all_46_4, all_32_7) = v2 & member(all_46_4, % 22.58/3.93 | | | | all_32_7) = v0 & ( ~ (v4 = 0) | ~ (v3 = 0) | ~ (v2 = 0) | % 22.58/3.93 | | | | ~ (v1 = 0) | ~ (v0 = 0) | v5 = 0)) % 22.58/3.93 | | | | % 22.58/3.93 | | | | GROUND_INST: instantiating (24) with all_46_2, all_53_0, all_46_2, % 22.58/3.93 | | | | all_53_0, simplifying with (34), (49), (50) gives: % 22.58/3.93 | | | | (92) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? [v3: any] : ? % 22.58/3.93 | | | | [v4: any] : ? [v5: any] : (apply(all_32_3, all_53_0, all_53_0) % 22.58/3.93 | | | | = v5 & apply(all_32_4, all_46_2, all_46_2) = v4 & % 22.58/3.93 | | | | member(all_53_0, all_32_6) = v3 & member(all_53_0, all_32_6) = % 22.58/3.93 | | | | v1 & member(all_46_2, all_32_7) = v2 & member(all_46_2, % 22.58/3.93 | | | | all_32_7) = v0 & ( ~ (v4 = 0) | ~ (v3 = 0) | ~ (v2 = 0) | % 22.58/3.93 | | | | ~ (v1 = 0) | ~ (v0 = 0) | v5 = 0)) % 22.58/3.93 | | | | % 22.58/3.93 | | | | GROUND_INST: instantiating (24) with all_46_4, all_64_0, all_46_2, % 22.58/3.93 | | | | all_53_0, simplifying with (32), (34), (49), (50), (84), % 22.58/3.93 | | | | (86) gives: % 22.58/3.93 | | | | (93) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? [v3: any] : ? % 22.58/3.93 | | | | [v4: any] : ? [v5: any] : (apply(all_32_3, all_64_0, all_53_0) % 22.58/3.93 | | | | = v5 & apply(all_32_4, all_46_4, all_46_2) = v4 & % 22.58/3.93 | | | | member(all_64_0, all_32_6) = v1 & member(all_53_0, all_32_6) = % 22.58/3.93 | | | | v3 & member(all_46_2, all_32_7) = v2 & member(all_46_4, % 22.58/3.93 | | | | all_32_7) = v0 & ( ~ (v4 = 0) | ~ (v3 = 0) | ~ (v2 = 0) | % 22.58/3.93 | | | | ~ (v1 = 0) | ~ (v0 = 0) | v5 = 0)) % 22.58/3.93 | | | | % 22.58/3.93 | | | | GROUND_INST: instantiating (24) with all_46_2, all_53_0, all_46_4, % 22.58/3.93 | | | | all_64_0, simplifying with (32), (34), (49), (50), (84), % 22.58/3.93 | | | | (86) gives: % 22.58/3.93 | | | | (94) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? [v3: any] : ? % 22.58/3.93 | | | | [v4: any] : ? [v5: any] : (apply(all_32_3, all_53_0, all_64_0) % 22.58/3.93 | | | | = v5 & apply(all_32_4, all_46_2, all_46_4) = v4 & % 22.58/3.93 | | | | member(all_64_0, all_32_6) = v3 & member(all_53_0, all_32_6) = % 22.58/3.93 | | | | v1 & member(all_46_2, all_32_7) = v0 & member(all_46_4, % 22.58/3.93 | | | | all_32_7) = v2 & ( ~ (v4 = 0) | ~ (v3 = 0) | ~ (v2 = 0) | % 22.58/3.93 | | | | ~ (v1 = 0) | ~ (v0 = 0) | v5 = 0)) % 22.58/3.93 | | | | % 22.58/3.93 | | | | GROUND_INST: instantiating (24) with all_46_4, all_55_0, all_46_2, % 22.58/3.93 | | | | all_53_0, simplifying with (32), (34), (49), (50), (52), % 22.58/3.93 | | | | (53) gives: % 22.58/3.93 | | | | (95) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? [v3: any] : ? % 22.58/3.93 | | | | [v4: any] : ? [v5: any] : (apply(all_32_3, all_55_0, all_53_0) % 22.58/3.93 | | | | = v5 & apply(all_32_4, all_46_4, all_46_2) = v4 & % 22.58/3.93 | | | | member(all_55_0, all_32_6) = v1 & member(all_53_0, all_32_6) = % 22.58/3.93 | | | | v3 & member(all_46_2, all_32_7) = v2 & member(all_46_4, % 22.58/3.93 | | | | all_32_7) = v0 & ( ~ (v4 = 0) | ~ (v3 = 0) | ~ (v2 = 0) | % 22.58/3.93 | | | | ~ (v1 = 0) | ~ (v0 = 0) | v5 = 0)) % 22.58/3.93 | | | | % 22.58/3.93 | | | | GROUND_INST: instantiating (24) with all_46_2, all_53_0, all_46_4, % 22.58/3.93 | | | | all_55_0, simplifying with (32), (34), (49), (50), (52), % 22.58/3.93 | | | | (53) gives: % 22.58/3.93 | | | | (96) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? [v3: any] : ? % 22.58/3.93 | | | | [v4: any] : ? [v5: any] : (apply(all_32_3, all_53_0, all_55_0) % 22.58/3.93 | | | | = v5 & apply(all_32_4, all_46_2, all_46_4) = v4 & % 22.58/3.93 | | | | member(all_55_0, all_32_6) = v3 & member(all_53_0, all_32_6) = % 22.58/3.93 | | | | v1 & member(all_46_2, all_32_7) = v0 & member(all_46_4, % 22.58/3.93 | | | | all_32_7) = v2 & ( ~ (v4 = 0) | ~ (v3 = 0) | ~ (v2 = 0) | % 22.58/3.93 | | | | ~ (v1 = 0) | ~ (v0 = 0) | v5 = 0)) % 22.58/3.93 | | | | % 22.58/3.93 | | | | GROUND_INST: instantiating (24) with all_46_2, all_60_0, all_46_2, % 22.58/3.93 | | | | all_60_0, simplifying with (34), (67), (69) gives: % 22.58/3.93 | | | | (97) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? [v3: any] : ? % 22.58/3.93 | | | | [v4: any] : ? [v5: any] : (apply(all_32_3, all_60_0, all_60_0) % 22.58/3.93 | | | | = v5 & apply(all_32_4, all_46_2, all_46_2) = v4 & % 22.58/3.93 | | | | member(all_60_0, all_32_6) = v3 & member(all_60_0, all_32_6) = % 22.58/3.93 | | | | v1 & member(all_46_2, all_32_7) = v2 & member(all_46_2, % 22.58/3.93 | | | | all_32_7) = v0 & ( ~ (v4 = 0) | ~ (v3 = 0) | ~ (v2 = 0) | % 22.58/3.93 | | | | ~ (v1 = 0) | ~ (v0 = 0) | v5 = 0)) % 22.58/3.93 | | | | % 22.58/3.93 | | | | GROUND_INST: instantiating (24) with all_46_2, all_53_0, all_46_2, % 22.58/3.93 | | | | all_60_0, simplifying with (34), (49), (50), (67), (69) % 22.58/3.93 | | | | gives: % 22.58/3.93 | | | | (98) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? [v3: any] : ? % 22.58/3.93 | | | | [v4: any] : ? [v5: any] : (apply(all_32_3, all_53_0, all_60_0) % 22.58/3.93 | | | | = v5 & apply(all_32_4, all_46_2, all_46_2) = v4 & % 22.58/3.93 | | | | member(all_60_0, all_32_6) = v3 & member(all_53_0, all_32_6) = % 22.58/3.93 | | | | v1 & member(all_46_2, all_32_7) = v2 & member(all_46_2, % 22.58/3.93 | | | | all_32_7) = v0 & ( ~ (v4 = 0) | ~ (v3 = 0) | ~ (v2 = 0) | % 22.58/3.93 | | | | ~ (v1 = 0) | ~ (v0 = 0) | v5 = 0)) % 22.58/3.93 | | | | % 22.58/3.94 | | | | GROUND_INST: instantiating (24) with all_46_2, all_60_0, all_46_2, % 22.58/3.94 | | | | all_53_0, simplifying with (34), (49), (50), (67), (69) % 22.58/3.94 | | | | gives: % 22.58/3.94 | | | | (99) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? [v3: any] : ? % 22.58/3.94 | | | | [v4: any] : ? [v5: any] : (apply(all_32_3, all_60_0, all_53_0) % 22.58/3.94 | | | | = v5 & apply(all_32_4, all_46_2, all_46_2) = v4 & % 22.58/3.94 | | | | member(all_60_0, all_32_6) = v1 & member(all_53_0, all_32_6) = % 22.58/3.94 | | | | v3 & member(all_46_2, all_32_7) = v2 & member(all_46_2, % 22.58/3.94 | | | | all_32_7) = v0 & ( ~ (v4 = 0) | ~ (v3 = 0) | ~ (v2 = 0) | % 22.58/3.94 | | | | ~ (v1 = 0) | ~ (v0 = 0) | v5 = 0)) % 22.58/3.94 | | | | % 22.58/3.94 | | | | GROUND_INST: instantiating (24) with all_46_4, all_64_0, all_46_2, % 22.58/3.94 | | | | all_60_0, simplifying with (32), (34), (67), (69), (84), % 22.58/3.94 | | | | (86) gives: % 22.58/3.94 | | | | (100) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? [v3: any] : ? % 22.58/3.94 | | | | [v4: any] : ? [v5: any] : (apply(all_32_3, all_64_0, all_60_0) % 22.58/3.94 | | | | = v5 & apply(all_32_4, all_46_4, all_46_2) = v4 & % 22.58/3.94 | | | | member(all_64_0, all_32_6) = v1 & member(all_60_0, all_32_6) % 22.58/3.94 | | | | = v3 & member(all_46_2, all_32_7) = v2 & member(all_46_4, % 22.58/3.94 | | | | all_32_7) = v0 & ( ~ (v4 = 0) | ~ (v3 = 0) | ~ (v2 = 0) | % 22.58/3.94 | | | | ~ (v1 = 0) | ~ (v0 = 0) | v5 = 0)) % 22.58/3.94 | | | | % 22.58/3.94 | | | | GROUND_INST: instantiating (24) with all_46_2, all_60_0, all_46_4, % 22.58/3.94 | | | | all_64_0, simplifying with (32), (34), (67), (69), (84), % 22.58/3.94 | | | | (86) gives: % 22.58/3.94 | | | | (101) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? [v3: any] : ? % 22.58/3.94 | | | | [v4: any] : ? [v5: any] : (apply(all_32_3, all_60_0, all_64_0) % 22.58/3.94 | | | | = v5 & apply(all_32_4, all_46_2, all_46_4) = v4 & % 22.58/3.94 | | | | member(all_64_0, all_32_6) = v3 & member(all_60_0, all_32_6) % 22.58/3.94 | | | | = v1 & member(all_46_2, all_32_7) = v0 & member(all_46_4, % 22.58/3.94 | | | | all_32_7) = v2 & ( ~ (v4 = 0) | ~ (v3 = 0) | ~ (v2 = 0) | % 22.58/3.94 | | | | ~ (v1 = 0) | ~ (v0 = 0) | v5 = 0)) % 22.58/3.94 | | | | % 22.58/3.94 | | | | GROUND_INST: instantiating (24) with all_46_4, all_55_0, all_46_2, % 22.58/3.94 | | | | all_60_0, simplifying with (32), (34), (52), (53), (67), % 22.58/3.94 | | | | (69) gives: % 22.58/3.94 | | | | (102) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? [v3: any] : ? % 22.58/3.94 | | | | [v4: any] : ? [v5: any] : (apply(all_32_3, all_55_0, all_60_0) % 22.58/3.94 | | | | = v5 & apply(all_32_4, all_46_4, all_46_2) = v4 & % 22.58/3.94 | | | | member(all_60_0, all_32_6) = v3 & member(all_55_0, all_32_6) % 22.58/3.94 | | | | = v1 & member(all_46_2, all_32_7) = v2 & member(all_46_4, % 22.58/3.94 | | | | all_32_7) = v0 & ( ~ (v4 = 0) | ~ (v3 = 0) | ~ (v2 = 0) | % 22.58/3.94 | | | | ~ (v1 = 0) | ~ (v0 = 0) | v5 = 0)) % 22.58/3.94 | | | | % 22.58/3.94 | | | | GROUND_INST: instantiating (24) with all_46_2, all_60_0, all_46_4, % 22.58/3.94 | | | | all_55_0, simplifying with (32), (34), (52), (53), (67), % 22.58/3.94 | | | | (69) gives: % 22.58/3.94 | | | | (103) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? [v3: any] : ? % 22.58/3.94 | | | | [v4: any] : ? [v5: any] : (apply(all_32_3, all_60_0, all_55_0) % 22.58/3.94 | | | | = v5 & apply(all_32_4, all_46_2, all_46_4) = v4 & % 22.58/3.94 | | | | member(all_60_0, all_32_6) = v1 & member(all_55_0, all_32_6) % 22.58/3.94 | | | | = v3 & member(all_46_2, all_32_7) = v0 & member(all_46_4, % 22.58/3.94 | | | | all_32_7) = v2 & ( ~ (v4 = 0) | ~ (v3 = 0) | ~ (v2 = 0) | % 22.58/3.94 | | | | ~ (v1 = 0) | ~ (v0 = 0) | v5 = 0)) % 22.58/3.94 | | | | % 22.58/3.94 | | | | GROUND_INST: instantiating (25) with all_60_0, all_46_1, all_60_0, % 22.58/3.94 | | | | all_46_1, simplifying with (35), (67), (70) gives: % 22.58/3.94 | | | | (104) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? [v3: any] : ? % 22.58/3.94 | | | | [v4: any] : ? [v5: any] : (apply(all_32_2, all_46_1, all_46_1) % 22.58/3.94 | | | | = v5 & apply(all_32_3, all_60_0, all_60_0) = v4 & % 22.58/3.94 | | | | member(all_60_0, all_32_6) = v2 & member(all_60_0, all_32_6) % 22.58/3.94 | | | | = v0 & member(all_46_1, all_32_5) = v3 & member(all_46_1, % 22.58/3.94 | | | | all_32_5) = v1 & ( ~ (v4 = 0) | ~ (v3 = 0) | ~ (v2 = 0) | % 22.58/3.94 | | | | ~ (v1 = 0) | ~ (v0 = 0) | v5 = 0)) % 22.58/3.94 | | | | % 22.58/3.94 | | | | GROUND_INST: instantiating (25) with all_64_0, all_46_3, all_64_0, % 22.58/3.94 | | | | all_46_3, simplifying with (33), (84), (87) gives: % 22.58/3.94 | | | | (105) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? [v3: any] : ? % 22.58/3.94 | | | | [v4: any] : ? [v5: any] : (apply(all_32_2, all_46_3, all_46_3) % 22.58/3.94 | | | | = v5 & apply(all_32_3, all_64_0, all_64_0) = v4 & % 22.58/3.94 | | | | member(all_64_0, all_32_6) = v2 & member(all_64_0, all_32_6) % 22.58/3.94 | | | | = v0 & member(all_46_3, all_32_5) = v3 & member(all_46_3, % 22.58/3.94 | | | | all_32_5) = v1 & ( ~ (v4 = 0) | ~ (v3 = 0) | ~ (v2 = 0) | % 22.58/3.94 | | | | ~ (v1 = 0) | ~ (v0 = 0) | v5 = 0)) % 22.58/3.94 | | | | % 22.58/3.94 | | | | GROUND_INST: instantiating (25) with all_60_0, all_46_1, all_64_0, % 22.58/3.94 | | | | all_46_3, simplifying with (33), (35), (67), (70), (84), % 22.58/3.94 | | | | (87) gives: % 22.58/3.94 | | | | (106) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? [v3: any] : ? % 22.58/3.94 | | | | [v4: any] : ? [v5: any] : (apply(all_32_2, all_46_1, all_46_3) % 22.58/3.94 | | | | = v5 & apply(all_32_3, all_60_0, all_64_0) = v4 & % 22.58/3.94 | | | | member(all_64_0, all_32_6) = v2 & member(all_60_0, all_32_6) % 22.58/3.94 | | | | = v0 & member(all_46_1, all_32_5) = v1 & member(all_46_3, % 22.58/3.94 | | | | all_32_5) = v3 & ( ~ (v4 = 0) | ~ (v3 = 0) | ~ (v2 = 0) | % 22.58/3.94 | | | | ~ (v1 = 0) | ~ (v0 = 0) | v5 = 0)) % 22.58/3.94 | | | | % 22.58/3.94 | | | | GROUND_INST: instantiating (25) with all_64_0, all_46_3, all_60_0, % 22.58/3.94 | | | | all_46_1, simplifying with (33), (35), (67), (70), (84), % 22.58/3.94 | | | | (87) gives: % 22.58/3.94 | | | | (107) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? [v3: any] : ? % 22.58/3.94 | | | | [v4: any] : ? [v5: any] : (apply(all_32_2, all_46_3, all_46_1) % 22.58/3.94 | | | | = v5 & apply(all_32_3, all_64_0, all_60_0) = v4 & % 22.58/3.94 | | | | member(all_64_0, all_32_6) = v0 & member(all_60_0, all_32_6) % 22.58/3.94 | | | | = v2 & member(all_46_1, all_32_5) = v3 & member(all_46_3, % 22.58/3.94 | | | | all_32_5) = v1 & ( ~ (v4 = 0) | ~ (v3 = 0) | ~ (v2 = 0) | % 22.58/3.94 | | | | ~ (v1 = 0) | ~ (v0 = 0) | v5 = 0)) % 22.58/3.94 | | | | % 22.58/3.94 | | | | DELTA: instantiating (89) with fresh symbols all_79_0, all_79_1, % 22.58/3.94 | | | | all_79_2, all_79_3, all_79_4, all_79_5 gives: % 22.58/3.94 | | | | (108) apply(all_32_3, all_64_0, all_64_0) = all_79_0 & % 22.58/3.94 | | | | apply(all_32_4, all_46_4, all_46_4) = all_79_1 & % 22.58/3.94 | | | | member(all_64_0, all_32_6) = all_79_2 & member(all_64_0, % 22.58/3.94 | | | | all_32_6) = all_79_4 & member(all_46_4, all_32_7) = all_79_3 % 22.58/3.94 | | | | & member(all_46_4, all_32_7) = all_79_5 & ( ~ (all_79_1 = 0) | % 22.58/3.94 | | | | ~ (all_79_2 = 0) | ~ (all_79_3 = 0) | ~ (all_79_4 = 0) | ~ % 22.58/3.94 | | | | (all_79_5 = 0) | all_79_0 = 0) % 22.58/3.94 | | | | % 22.58/3.94 | | | | ALPHA: (108) implies: % 22.58/3.94 | | | | (109) member(all_46_4, all_32_7) = all_79_5 % 22.58/3.94 | | | | (110) member(all_46_4, all_32_7) = all_79_3 % 22.58/3.94 | | | | % 22.58/3.94 | | | | DELTA: instantiating (107) with fresh symbols all_81_0, all_81_1, % 22.58/3.94 | | | | all_81_2, all_81_3, all_81_4, all_81_5 gives: % 22.58/3.94 | | | | (111) apply(all_32_2, all_46_3, all_46_1) = all_81_0 & % 22.58/3.94 | | | | apply(all_32_3, all_64_0, all_60_0) = all_81_1 & % 22.58/3.94 | | | | member(all_64_0, all_32_6) = all_81_5 & member(all_60_0, % 22.58/3.94 | | | | all_32_6) = all_81_3 & member(all_46_1, all_32_5) = all_81_2 % 22.58/3.94 | | | | & member(all_46_3, all_32_5) = all_81_4 & ( ~ (all_81_1 = 0) | % 22.58/3.94 | | | | ~ (all_81_2 = 0) | ~ (all_81_3 = 0) | ~ (all_81_4 = 0) | ~ % 22.58/3.94 | | | | (all_81_5 = 0) | all_81_0 = 0) % 22.58/3.94 | | | | % 22.58/3.94 | | | | ALPHA: (111) implies: % 22.58/3.94 | | | | (112) member(all_46_3, all_32_5) = all_81_4 % 22.58/3.94 | | | | (113) member(all_46_1, all_32_5) = all_81_2 % 22.58/3.94 | | | | (114) member(all_60_0, all_32_6) = all_81_3 % 22.58/3.94 | | | | (115) member(all_64_0, all_32_6) = all_81_5 % 22.58/3.94 | | | | (116) apply(all_32_3, all_64_0, all_60_0) = all_81_1 % 22.58/3.94 | | | | (117) apply(all_32_2, all_46_3, all_46_1) = all_81_0 % 22.58/3.94 | | | | (118) ~ (all_81_1 = 0) | ~ (all_81_2 = 0) | ~ (all_81_3 = 0) | ~ % 22.58/3.94 | | | | (all_81_4 = 0) | ~ (all_81_5 = 0) | all_81_0 = 0 % 22.58/3.94 | | | | % 22.58/3.94 | | | | DELTA: instantiating (106) with fresh symbols all_83_0, all_83_1, % 22.58/3.94 | | | | all_83_2, all_83_3, all_83_4, all_83_5 gives: % 22.58/3.94 | | | | (119) apply(all_32_2, all_46_1, all_46_3) = all_83_0 & % 22.58/3.94 | | | | apply(all_32_3, all_60_0, all_64_0) = all_83_1 & % 22.58/3.94 | | | | member(all_64_0, all_32_6) = all_83_3 & member(all_60_0, % 22.58/3.94 | | | | all_32_6) = all_83_5 & member(all_46_1, all_32_5) = all_83_4 % 22.58/3.94 | | | | & member(all_46_3, all_32_5) = all_83_2 & ( ~ (all_83_1 = 0) | % 22.58/3.94 | | | | ~ (all_83_2 = 0) | ~ (all_83_3 = 0) | ~ (all_83_4 = 0) | ~ % 22.58/3.94 | | | | (all_83_5 = 0) | all_83_0 = 0) % 22.58/3.94 | | | | % 22.58/3.94 | | | | ALPHA: (119) implies: % 22.58/3.94 | | | | (120) member(all_46_3, all_32_5) = all_83_2 % 22.58/3.94 | | | | (121) member(all_46_1, all_32_5) = all_83_4 % 22.58/3.94 | | | | (122) member(all_60_0, all_32_6) = all_83_5 % 22.58/3.94 | | | | (123) member(all_64_0, all_32_6) = all_83_3 % 22.58/3.94 | | | | % 22.58/3.94 | | | | DELTA: instantiating (103) with fresh symbols all_85_0, all_85_1, % 22.58/3.94 | | | | all_85_2, all_85_3, all_85_4, all_85_5 gives: % 22.58/3.95 | | | | (124) apply(all_32_3, all_60_0, all_55_0) = all_85_0 & % 22.58/3.95 | | | | apply(all_32_4, all_46_2, all_46_4) = all_85_1 & % 22.58/3.95 | | | | member(all_60_0, all_32_6) = all_85_4 & member(all_55_0, % 22.58/3.95 | | | | all_32_6) = all_85_2 & member(all_46_2, all_32_7) = all_85_5 % 22.58/3.95 | | | | & member(all_46_4, all_32_7) = all_85_3 & ( ~ (all_85_1 = 0) | % 22.58/3.95 | | | | ~ (all_85_2 = 0) | ~ (all_85_3 = 0) | ~ (all_85_4 = 0) | ~ % 22.58/3.95 | | | | (all_85_5 = 0) | all_85_0 = 0) % 22.58/3.95 | | | | % 22.58/3.95 | | | | ALPHA: (124) implies: % 22.58/3.95 | | | | (125) member(all_46_4, all_32_7) = all_85_3 % 22.58/3.95 | | | | (126) member(all_46_2, all_32_7) = all_85_5 % 22.58/3.95 | | | | (127) member(all_60_0, all_32_6) = all_85_4 % 22.58/3.95 | | | | % 22.58/3.95 | | | | DELTA: instantiating (102) with fresh symbols all_87_0, all_87_1, % 22.58/3.95 | | | | all_87_2, all_87_3, all_87_4, all_87_5 gives: % 22.58/3.95 | | | | (128) apply(all_32_3, all_55_0, all_60_0) = all_87_0 & % 22.58/3.95 | | | | apply(all_32_4, all_46_4, all_46_2) = all_87_1 & % 22.58/3.95 | | | | member(all_60_0, all_32_6) = all_87_2 & member(all_55_0, % 22.58/3.95 | | | | all_32_6) = all_87_4 & member(all_46_2, all_32_7) = all_87_3 % 22.58/3.95 | | | | & member(all_46_4, all_32_7) = all_87_5 & ( ~ (all_87_1 = 0) | % 22.58/3.95 | | | | ~ (all_87_2 = 0) | ~ (all_87_3 = 0) | ~ (all_87_4 = 0) | ~ % 22.58/3.95 | | | | (all_87_5 = 0) | all_87_0 = 0) % 22.58/3.95 | | | | % 22.58/3.95 | | | | ALPHA: (128) implies: % 22.58/3.95 | | | | (129) member(all_46_4, all_32_7) = all_87_5 % 22.58/3.95 | | | | (130) member(all_46_2, all_32_7) = all_87_3 % 22.58/3.95 | | | | (131) member(all_60_0, all_32_6) = all_87_2 % 22.58/3.95 | | | | % 22.58/3.95 | | | | DELTA: instantiating (99) with fresh symbols all_89_0, all_89_1, % 22.58/3.95 | | | | all_89_2, all_89_3, all_89_4, all_89_5 gives: % 22.58/3.95 | | | | (132) apply(all_32_3, all_60_0, all_53_0) = all_89_0 & % 22.58/3.95 | | | | apply(all_32_4, all_46_2, all_46_2) = all_89_1 & % 22.58/3.95 | | | | member(all_60_0, all_32_6) = all_89_4 & member(all_53_0, % 22.58/3.95 | | | | all_32_6) = all_89_2 & member(all_46_2, all_32_7) = all_89_3 % 22.58/3.95 | | | | & member(all_46_2, all_32_7) = all_89_5 & ( ~ (all_89_1 = 0) | % 22.58/3.95 | | | | ~ (all_89_2 = 0) | ~ (all_89_3 = 0) | ~ (all_89_4 = 0) | ~ % 22.58/3.95 | | | | (all_89_5 = 0) | all_89_0 = 0) % 22.58/3.95 | | | | % 22.58/3.95 | | | | ALPHA: (132) implies: % 22.58/3.95 | | | | (133) member(all_46_2, all_32_7) = all_89_5 % 22.58/3.95 | | | | (134) member(all_46_2, all_32_7) = all_89_3 % 22.58/3.95 | | | | (135) member(all_60_0, all_32_6) = all_89_4 % 22.58/3.95 | | | | % 22.58/3.95 | | | | DELTA: instantiating (98) with fresh symbols all_91_0, all_91_1, % 22.58/3.95 | | | | all_91_2, all_91_3, all_91_4, all_91_5 gives: % 22.58/3.95 | | | | (136) apply(all_32_3, all_53_0, all_60_0) = all_91_0 & % 22.58/3.95 | | | | apply(all_32_4, all_46_2, all_46_2) = all_91_1 & % 22.58/3.95 | | | | member(all_60_0, all_32_6) = all_91_2 & member(all_53_0, % 22.58/3.95 | | | | all_32_6) = all_91_4 & member(all_46_2, all_32_7) = all_91_3 % 22.58/3.95 | | | | & member(all_46_2, all_32_7) = all_91_5 & ( ~ (all_91_1 = 0) | % 22.58/3.95 | | | | ~ (all_91_2 = 0) | ~ (all_91_3 = 0) | ~ (all_91_4 = 0) | ~ % 22.58/3.95 | | | | (all_91_5 = 0) | all_91_0 = 0) % 22.58/3.95 | | | | % 22.58/3.95 | | | | ALPHA: (136) implies: % 22.58/3.95 | | | | (137) member(all_46_2, all_32_7) = all_91_5 % 22.58/3.95 | | | | (138) member(all_46_2, all_32_7) = all_91_3 % 22.58/3.95 | | | | (139) member(all_60_0, all_32_6) = all_91_2 % 22.58/3.95 | | | | % 22.58/3.95 | | | | DELTA: instantiating (101) with fresh symbols all_93_0, all_93_1, % 22.58/3.95 | | | | all_93_2, all_93_3, all_93_4, all_93_5 gives: % 22.58/3.95 | | | | (140) apply(all_32_3, all_60_0, all_64_0) = all_93_0 & % 22.58/3.95 | | | | apply(all_32_4, all_46_2, all_46_4) = all_93_1 & % 22.58/3.95 | | | | member(all_64_0, all_32_6) = all_93_2 & member(all_60_0, % 22.58/3.95 | | | | all_32_6) = all_93_4 & member(all_46_2, all_32_7) = all_93_5 % 22.58/3.95 | | | | & member(all_46_4, all_32_7) = all_93_3 & ( ~ (all_93_1 = 0) | % 22.58/3.95 | | | | ~ (all_93_2 = 0) | ~ (all_93_3 = 0) | ~ (all_93_4 = 0) | ~ % 22.58/3.95 | | | | (all_93_5 = 0) | all_93_0 = 0) % 22.58/3.95 | | | | % 22.58/3.95 | | | | ALPHA: (140) implies: % 22.58/3.95 | | | | (141) member(all_46_4, all_32_7) = all_93_3 % 22.58/3.95 | | | | (142) member(all_46_2, all_32_7) = all_93_5 % 22.58/3.95 | | | | (143) member(all_60_0, all_32_6) = all_93_4 % 22.58/3.95 | | | | (144) member(all_64_0, all_32_6) = all_93_2 % 22.58/3.95 | | | | % 22.58/3.95 | | | | DELTA: instantiating (100) with fresh symbols all_95_0, all_95_1, % 22.58/3.95 | | | | all_95_2, all_95_3, all_95_4, all_95_5 gives: % 22.58/3.95 | | | | (145) apply(all_32_3, all_64_0, all_60_0) = all_95_0 & % 22.58/3.95 | | | | apply(all_32_4, all_46_4, all_46_2) = all_95_1 & % 22.58/3.95 | | | | member(all_64_0, all_32_6) = all_95_4 & member(all_60_0, % 22.58/3.95 | | | | all_32_6) = all_95_2 & member(all_46_2, all_32_7) = all_95_3 % 22.58/3.95 | | | | & member(all_46_4, all_32_7) = all_95_5 & ( ~ (all_95_1 = 0) | % 22.58/3.95 | | | | ~ (all_95_2 = 0) | ~ (all_95_3 = 0) | ~ (all_95_4 = 0) | ~ % 22.58/3.95 | | | | (all_95_5 = 0) | all_95_0 = 0) % 22.58/3.95 | | | | % 22.58/3.95 | | | | ALPHA: (145) implies: % 22.58/3.95 | | | | (146) member(all_46_4, all_32_7) = all_95_5 % 22.58/3.95 | | | | (147) member(all_46_2, all_32_7) = all_95_3 % 22.58/3.95 | | | | (148) member(all_60_0, all_32_6) = all_95_2 % 22.58/3.95 | | | | (149) member(all_64_0, all_32_6) = all_95_4 % 22.58/3.95 | | | | (150) apply(all_32_4, all_46_4, all_46_2) = all_95_1 % 22.58/3.95 | | | | (151) apply(all_32_3, all_64_0, all_60_0) = all_95_0 % 22.78/3.95 | | | | (152) ~ (all_95_1 = 0) | ~ (all_95_2 = 0) | ~ (all_95_3 = 0) | ~ % 22.78/3.95 | | | | (all_95_4 = 0) | ~ (all_95_5 = 0) | all_95_0 = 0 % 22.78/3.95 | | | | % 22.78/3.95 | | | | DELTA: instantiating (105) with fresh symbols all_97_0, all_97_1, % 22.78/3.95 | | | | all_97_2, all_97_3, all_97_4, all_97_5 gives: % 22.78/3.95 | | | | (153) apply(all_32_2, all_46_3, all_46_3) = all_97_0 & % 22.78/3.95 | | | | apply(all_32_3, all_64_0, all_64_0) = all_97_1 & % 22.78/3.95 | | | | member(all_64_0, all_32_6) = all_97_3 & member(all_64_0, % 22.78/3.95 | | | | all_32_6) = all_97_5 & member(all_46_3, all_32_5) = all_97_2 % 22.78/3.95 | | | | & member(all_46_3, all_32_5) = all_97_4 & ( ~ (all_97_1 = 0) | % 22.78/3.95 | | | | ~ (all_97_2 = 0) | ~ (all_97_3 = 0) | ~ (all_97_4 = 0) | ~ % 22.78/3.95 | | | | (all_97_5 = 0) | all_97_0 = 0) % 22.78/3.95 | | | | % 22.78/3.95 | | | | ALPHA: (153) implies: % 22.78/3.95 | | | | (154) member(all_46_3, all_32_5) = all_97_4 % 22.78/3.95 | | | | (155) member(all_46_3, all_32_5) = all_97_2 % 22.78/3.95 | | | | (156) member(all_64_0, all_32_6) = all_97_5 % 22.78/3.95 | | | | (157) member(all_64_0, all_32_6) = all_97_3 % 22.78/3.95 | | | | % 22.78/3.95 | | | | DELTA: instantiating (104) with fresh symbols all_99_0, all_99_1, % 22.78/3.95 | | | | all_99_2, all_99_3, all_99_4, all_99_5 gives: % 22.78/3.95 | | | | (158) apply(all_32_2, all_46_1, all_46_1) = all_99_0 & % 22.78/3.95 | | | | apply(all_32_3, all_60_0, all_60_0) = all_99_1 & % 22.78/3.95 | | | | member(all_60_0, all_32_6) = all_99_3 & member(all_60_0, % 22.78/3.95 | | | | all_32_6) = all_99_5 & member(all_46_1, all_32_5) = all_99_2 % 22.78/3.95 | | | | & member(all_46_1, all_32_5) = all_99_4 & ( ~ (all_99_1 = 0) | % 22.78/3.95 | | | | ~ (all_99_2 = 0) | ~ (all_99_3 = 0) | ~ (all_99_4 = 0) | ~ % 22.78/3.95 | | | | (all_99_5 = 0) | all_99_0 = 0) % 22.78/3.95 | | | | % 22.78/3.95 | | | | ALPHA: (158) implies: % 22.78/3.95 | | | | (159) member(all_46_1, all_32_5) = all_99_4 % 22.78/3.95 | | | | (160) member(all_46_1, all_32_5) = all_99_2 % 22.78/3.95 | | | | (161) member(all_60_0, all_32_6) = all_99_5 % 22.78/3.95 | | | | (162) member(all_60_0, all_32_6) = all_99_3 % 22.78/3.95 | | | | % 22.78/3.95 | | | | DELTA: instantiating (88) with fresh symbols all_101_0, all_101_1, % 22.78/3.95 | | | | all_101_2, all_101_3, all_101_4, all_101_5 gives: % 22.78/3.95 | | | | (163) apply(all_32_3, all_55_0, all_55_0) = all_101_0 & % 22.78/3.95 | | | | apply(all_32_4, all_46_4, all_46_4) = all_101_1 & % 22.78/3.95 | | | | member(all_55_0, all_32_6) = all_101_2 & member(all_55_0, % 22.78/3.95 | | | | all_32_6) = all_101_4 & member(all_46_4, all_32_7) = % 22.78/3.95 | | | | all_101_3 & member(all_46_4, all_32_7) = all_101_5 & ( ~ % 22.78/3.95 | | | | (all_101_1 = 0) | ~ (all_101_2 = 0) | ~ (all_101_3 = 0) | % 22.78/3.95 | | | | ~ (all_101_4 = 0) | ~ (all_101_5 = 0) | all_101_0 = 0) % 22.78/3.95 | | | | % 22.78/3.95 | | | | ALPHA: (163) implies: % 22.78/3.95 | | | | (164) member(all_46_4, all_32_7) = all_101_5 % 22.78/3.95 | | | | (165) member(all_46_4, all_32_7) = all_101_3 % 22.78/3.95 | | | | % 22.78/3.95 | | | | DELTA: instantiating (97) with fresh symbols all_103_0, all_103_1, % 22.78/3.95 | | | | all_103_2, all_103_3, all_103_4, all_103_5 gives: % 22.78/3.95 | | | | (166) apply(all_32_3, all_60_0, all_60_0) = all_103_0 & % 22.78/3.95 | | | | apply(all_32_4, all_46_2, all_46_2) = all_103_1 & % 22.78/3.95 | | | | member(all_60_0, all_32_6) = all_103_2 & member(all_60_0, % 22.78/3.95 | | | | all_32_6) = all_103_4 & member(all_46_2, all_32_7) = % 22.78/3.95 | | | | all_103_3 & member(all_46_2, all_32_7) = all_103_5 & ( ~ % 22.78/3.95 | | | | (all_103_1 = 0) | ~ (all_103_2 = 0) | ~ (all_103_3 = 0) | % 22.78/3.95 | | | | ~ (all_103_4 = 0) | ~ (all_103_5 = 0) | all_103_0 = 0) % 22.78/3.95 | | | | % 22.78/3.95 | | | | ALPHA: (166) implies: % 22.78/3.95 | | | | (167) member(all_46_2, all_32_7) = all_103_5 % 22.78/3.95 | | | | (168) member(all_46_2, all_32_7) = all_103_3 % 22.78/3.95 | | | | (169) member(all_60_0, all_32_6) = all_103_4 % 22.78/3.95 | | | | (170) member(all_60_0, all_32_6) = all_103_2 % 22.78/3.95 | | | | % 22.78/3.95 | | | | DELTA: instantiating (96) with fresh symbols all_105_0, all_105_1, % 22.78/3.95 | | | | all_105_2, all_105_3, all_105_4, all_105_5 gives: % 22.78/3.95 | | | | (171) apply(all_32_3, all_53_0, all_55_0) = all_105_0 & % 22.78/3.95 | | | | apply(all_32_4, all_46_2, all_46_4) = all_105_1 & % 22.78/3.95 | | | | member(all_55_0, all_32_6) = all_105_2 & member(all_53_0, % 22.78/3.95 | | | | all_32_6) = all_105_4 & member(all_46_2, all_32_7) = % 22.78/3.95 | | | | all_105_5 & member(all_46_4, all_32_7) = all_105_3 & ( ~ % 22.78/3.95 | | | | (all_105_1 = 0) | ~ (all_105_2 = 0) | ~ (all_105_3 = 0) | % 22.78/3.95 | | | | ~ (all_105_4 = 0) | ~ (all_105_5 = 0) | all_105_0 = 0) % 22.78/3.95 | | | | % 22.78/3.95 | | | | ALPHA: (171) implies: % 22.78/3.95 | | | | (172) member(all_46_4, all_32_7) = all_105_3 % 22.78/3.95 | | | | (173) member(all_46_2, all_32_7) = all_105_5 % 22.78/3.95 | | | | % 22.78/3.95 | | | | DELTA: instantiating (93) with fresh symbols all_107_0, all_107_1, % 22.78/3.95 | | | | all_107_2, all_107_3, all_107_4, all_107_5 gives: % 22.78/3.95 | | | | (174) apply(all_32_3, all_64_0, all_53_0) = all_107_0 & % 22.78/3.95 | | | | apply(all_32_4, all_46_4, all_46_2) = all_107_1 & % 22.78/3.95 | | | | member(all_64_0, all_32_6) = all_107_4 & member(all_53_0, % 22.78/3.95 | | | | all_32_6) = all_107_2 & member(all_46_2, all_32_7) = % 22.78/3.95 | | | | all_107_3 & member(all_46_4, all_32_7) = all_107_5 & ( ~ % 22.78/3.95 | | | | (all_107_1 = 0) | ~ (all_107_2 = 0) | ~ (all_107_3 = 0) | % 22.78/3.95 | | | | ~ (all_107_4 = 0) | ~ (all_107_5 = 0) | all_107_0 = 0) % 22.78/3.95 | | | | % 22.78/3.95 | | | | ALPHA: (174) implies: % 22.78/3.95 | | | | (175) member(all_46_4, all_32_7) = all_107_5 % 22.78/3.95 | | | | (176) member(all_46_2, all_32_7) = all_107_3 % 22.78/3.95 | | | | (177) member(all_64_0, all_32_6) = all_107_4 % 22.78/3.95 | | | | (178) apply(all_32_4, all_46_4, all_46_2) = all_107_1 % 22.78/3.96 | | | | % 22.78/3.96 | | | | DELTA: instantiating (92) with fresh symbols all_109_0, all_109_1, % 22.78/3.96 | | | | all_109_2, all_109_3, all_109_4, all_109_5 gives: % 22.78/3.96 | | | | (179) apply(all_32_3, all_53_0, all_53_0) = all_109_0 & % 22.78/3.96 | | | | apply(all_32_4, all_46_2, all_46_2) = all_109_1 & % 22.78/3.96 | | | | member(all_53_0, all_32_6) = all_109_2 & member(all_53_0, % 22.78/3.96 | | | | all_32_6) = all_109_4 & member(all_46_2, all_32_7) = % 22.78/3.96 | | | | all_109_3 & member(all_46_2, all_32_7) = all_109_5 & ( ~ % 22.78/3.96 | | | | (all_109_1 = 0) | ~ (all_109_2 = 0) | ~ (all_109_3 = 0) | % 22.78/3.96 | | | | ~ (all_109_4 = 0) | ~ (all_109_5 = 0) | all_109_0 = 0) % 22.78/3.96 | | | | % 22.78/3.96 | | | | ALPHA: (179) implies: % 22.78/3.96 | | | | (180) member(all_46_2, all_32_7) = all_109_5 % 22.78/3.96 | | | | (181) member(all_46_2, all_32_7) = all_109_3 % 22.78/3.96 | | | | % 22.78/3.96 | | | | DELTA: instantiating (95) with fresh symbols all_111_0, all_111_1, % 22.78/3.96 | | | | all_111_2, all_111_3, all_111_4, all_111_5 gives: % 22.78/3.96 | | | | (182) apply(all_32_3, all_55_0, all_53_0) = all_111_0 & % 22.78/3.96 | | | | apply(all_32_4, all_46_4, all_46_2) = all_111_1 & % 22.78/3.96 | | | | member(all_55_0, all_32_6) = all_111_4 & member(all_53_0, % 22.78/3.96 | | | | all_32_6) = all_111_2 & member(all_46_2, all_32_7) = % 22.78/3.96 | | | | all_111_3 & member(all_46_4, all_32_7) = all_111_5 & ( ~ % 22.78/3.96 | | | | (all_111_1 = 0) | ~ (all_111_2 = 0) | ~ (all_111_3 = 0) | % 22.78/3.96 | | | | ~ (all_111_4 = 0) | ~ (all_111_5 = 0) | all_111_0 = 0) % 22.78/3.96 | | | | % 22.78/3.96 | | | | ALPHA: (182) implies: % 22.78/3.96 | | | | (183) member(all_46_4, all_32_7) = all_111_5 % 22.78/3.96 | | | | (184) member(all_46_2, all_32_7) = all_111_3 % 22.78/3.96 | | | | % 22.78/3.96 | | | | DELTA: instantiating (94) with fresh symbols all_113_0, all_113_1, % 22.78/3.96 | | | | all_113_2, all_113_3, all_113_4, all_113_5 gives: % 22.78/3.96 | | | | (185) apply(all_32_3, all_53_0, all_64_0) = all_113_0 & % 22.78/3.96 | | | | apply(all_32_4, all_46_2, all_46_4) = all_113_1 & % 22.78/3.96 | | | | member(all_64_0, all_32_6) = all_113_2 & member(all_53_0, % 22.78/3.96 | | | | all_32_6) = all_113_4 & member(all_46_2, all_32_7) = % 22.78/3.96 | | | | all_113_5 & member(all_46_4, all_32_7) = all_113_3 & ( ~ % 22.78/3.96 | | | | (all_113_1 = 0) | ~ (all_113_2 = 0) | ~ (all_113_3 = 0) | % 22.78/3.96 | | | | ~ (all_113_4 = 0) | ~ (all_113_5 = 0) | all_113_0 = 0) % 22.78/3.96 | | | | % 22.78/3.96 | | | | ALPHA: (185) implies: % 22.78/3.96 | | | | (186) member(all_46_4, all_32_7) = all_113_3 % 22.78/3.96 | | | | (187) member(all_46_2, all_32_7) = all_113_5 % 22.78/3.96 | | | | (188) member(all_64_0, all_32_6) = all_113_2 % 22.78/3.96 | | | | % 22.78/3.96 | | | | DELTA: instantiating (91) with fresh symbols all_115_0, all_115_1, % 22.78/3.96 | | | | all_115_2, all_115_3, all_115_4, all_115_5 gives: % 22.78/3.96 | | | | (189) apply(all_32_3, all_64_0, all_55_0) = all_115_0 & % 22.78/3.96 | | | | apply(all_32_4, all_46_4, all_46_4) = all_115_1 & % 22.78/3.96 | | | | member(all_64_0, all_32_6) = all_115_4 & member(all_55_0, % 22.78/3.96 | | | | all_32_6) = all_115_2 & member(all_46_4, all_32_7) = % 22.78/3.96 | | | | all_115_3 & member(all_46_4, all_32_7) = all_115_5 & ( ~ % 22.78/3.96 | | | | (all_115_1 = 0) | ~ (all_115_2 = 0) | ~ (all_115_3 = 0) | % 22.78/3.96 | | | | ~ (all_115_4 = 0) | ~ (all_115_5 = 0) | all_115_0 = 0) % 22.78/3.96 | | | | % 22.78/3.96 | | | | ALPHA: (189) implies: % 22.78/3.96 | | | | (190) member(all_46_4, all_32_7) = all_115_5 % 22.78/3.96 | | | | (191) member(all_46_4, all_32_7) = all_115_3 % 22.78/3.96 | | | | (192) member(all_64_0, all_32_6) = all_115_4 % 22.78/3.96 | | | | % 22.78/3.96 | | | | DELTA: instantiating (90) with fresh symbols all_117_0, all_117_1, % 22.78/3.96 | | | | all_117_2, all_117_3, all_117_4, all_117_5 gives: % 22.78/3.96 | | | | (193) apply(all_32_3, all_55_0, all_64_0) = all_117_0 & % 22.78/3.96 | | | | apply(all_32_4, all_46_4, all_46_4) = all_117_1 & % 22.78/3.96 | | | | member(all_64_0, all_32_6) = all_117_2 & member(all_55_0, % 22.78/3.96 | | | | all_32_6) = all_117_4 & member(all_46_4, all_32_7) = % 22.78/3.96 | | | | all_117_3 & member(all_46_4, all_32_7) = all_117_5 & ( ~ % 22.78/3.96 | | | | (all_117_1 = 0) | ~ (all_117_2 = 0) | ~ (all_117_3 = 0) | % 22.78/3.96 | | | | ~ (all_117_4 = 0) | ~ (all_117_5 = 0) | all_117_0 = 0) % 22.78/3.96 | | | | % 22.78/3.96 | | | | ALPHA: (193) implies: % 22.78/3.96 | | | | (194) member(all_46_4, all_32_7) = all_117_5 % 22.78/3.96 | | | | (195) member(all_46_4, all_32_7) = all_117_3 % 22.78/3.96 | | | | (196) member(all_64_0, all_32_6) = all_117_2 % 22.78/3.96 | | | | % 22.78/3.96 | | | | GROUND_INST: instantiating (4) with 0, all_87_5, all_32_7, all_46_4, % 22.78/3.96 | | | | simplifying with (36), (129) gives: % 22.78/3.96 | | | | (197) all_87_5 = 0 % 22.78/3.96 | | | | % 22.78/3.96 | | | | GROUND_INST: instantiating (4) with all_79_5, all_87_5, all_32_7, % 22.78/3.96 | | | | all_46_4, simplifying with (109), (129) gives: % 22.78/3.96 | | | | (198) all_87_5 = all_79_5 % 22.78/3.96 | | | | % 22.78/3.96 | | | | GROUND_INST: instantiating (4) with all_87_5, all_95_5, all_32_7, % 22.78/3.96 | | | | all_46_4, simplifying with (129), (146) gives: % 22.78/3.96 | | | | (199) all_95_5 = all_87_5 % 22.78/3.96 | | | | % 22.78/3.96 | | | | GROUND_INST: instantiating (4) with all_87_5, all_101_3, all_32_7, % 22.78/3.96 | | | | all_46_4, simplifying with (129), (165) gives: % 22.78/3.96 | | | | (200) all_101_3 = all_87_5 % 22.78/3.96 | | | | % 22.78/3.96 | | | | GROUND_INST: instantiating (4) with all_101_3, all_107_5, all_32_7, % 22.78/3.96 | | | | all_46_4, simplifying with (165), (175) gives: % 22.78/3.96 | | | | (201) all_107_5 = all_101_3 % 22.78/3.96 | | | | % 22.78/3.96 | | | | GROUND_INST: instantiating (4) with all_93_3, all_107_5, all_32_7, % 22.78/3.96 | | | | all_46_4, simplifying with (141), (175) gives: % 22.78/3.96 | | | | (202) all_107_5 = all_93_3 % 22.78/3.96 | | | | % 22.78/3.96 | | | | GROUND_INST: instantiating (4) with all_79_3, all_111_5, all_32_7, % 22.78/3.96 | | | | all_46_4, simplifying with (110), (183) gives: % 22.78/3.96 | | | | (203) all_111_5 = all_79_3 % 22.78/3.96 | | | | % 22.78/3.96 | | | | GROUND_INST: instantiating (4) with all_101_5, all_113_3, all_32_7, % 22.78/3.96 | | | | all_46_4, simplifying with (164), (186) gives: % 22.78/3.96 | | | | (204) all_113_3 = all_101_5 % 22.78/3.96 | | | | % 22.78/3.96 | | | | GROUND_INST: instantiating (4) with all_95_5, all_113_3, all_32_7, % 22.78/3.96 | | | | all_46_4, simplifying with (146), (186) gives: % 22.78/3.96 | | | | (205) all_113_3 = all_95_5 % 22.78/3.96 | | | | % 22.78/3.96 | | | | GROUND_INST: instantiating (4) with all_113_3, all_115_5, all_32_7, % 22.78/3.96 | | | | all_46_4, simplifying with (186), (190) gives: % 22.78/3.96 | | | | (206) all_115_5 = all_113_3 % 22.78/3.96 | | | | % 22.78/3.96 | | | | GROUND_INST: instantiating (4) with all_85_3, all_115_5, all_32_7, % 22.78/3.96 | | | | all_46_4, simplifying with (125), (190) gives: % 22.78/3.96 | | | | (207) all_115_5 = all_85_3 % 22.78/3.96 | | | | % 22.78/3.96 | | | | GROUND_INST: instantiating (4) with all_111_5, all_115_3, all_32_7, % 22.78/3.96 | | | | all_46_4, simplifying with (183), (191) gives: % 22.78/3.96 | | | | (208) all_115_3 = all_111_5 % 22.78/3.96 | | | | % 22.78/3.96 | | | | GROUND_INST: instantiating (4) with all_101_3, all_115_3, all_32_7, % 22.78/3.96 | | | | all_46_4, simplifying with (165), (191) gives: % 22.78/3.96 | | | | (209) all_115_3 = all_101_3 % 22.78/3.96 | | | | % 22.78/3.96 | | | | GROUND_INST: instantiating (4) with all_115_3, all_117_5, all_32_7, % 22.78/3.96 | | | | all_46_4, simplifying with (191), (194) gives: % 22.78/3.96 | | | | (210) all_117_5 = all_115_3 % 22.78/3.96 | | | | % 22.78/3.96 | | | | GROUND_INST: instantiating (4) with all_117_5, all_117_3, all_32_7, % 22.78/3.96 | | | | all_46_4, simplifying with (194), (195) gives: % 22.78/3.96 | | | | (211) all_117_3 = all_117_5 % 22.78/3.96 | | | | % 22.78/3.96 | | | | GROUND_INST: instantiating (4) with all_105_3, all_117_3, all_32_7, % 22.78/3.96 | | | | all_46_4, simplifying with (172), (195) gives: % 22.78/3.96 | | | | (212) all_117_3 = all_105_3 % 22.78/3.96 | | | | % 22.78/3.96 | | | | GROUND_INST: instantiating (4) with all_81_4, all_83_2, all_32_5, % 22.78/3.96 | | | | all_46_3, simplifying with (112), (120) gives: % 22.78/3.96 | | | | (213) all_83_2 = all_81_4 % 22.78/3.96 | | | | % 22.78/3.96 | | | | GROUND_INST: instantiating (4) with 0, all_97_2, all_32_5, all_46_3, % 22.78/3.96 | | | | simplifying with (37), (155) gives: % 22.78/3.96 | | | | (214) all_97_2 = 0 % 22.78/3.96 | | | | % 22.78/3.96 | | | | GROUND_INST: instantiating (4) with all_97_4, all_97_2, all_32_5, % 22.78/3.96 | | | | all_46_3, simplifying with (154), (155) gives: % 22.78/3.96 | | | | (215) all_97_2 = all_97_4 % 22.78/3.96 | | | | % 22.78/3.96 | | | | GROUND_INST: instantiating (4) with all_83_2, all_97_2, all_32_5, % 22.78/3.96 | | | | all_46_3, simplifying with (120), (155) gives: % 22.78/3.96 | | | | (216) all_97_2 = all_83_2 % 22.78/3.96 | | | | % 22.78/3.96 | | | | GROUND_INST: instantiating (4) with 0, all_89_5, all_32_7, all_46_2, % 22.78/3.96 | | | | simplifying with (38), (133) gives: % 22.78/3.96 | | | | (217) all_89_5 = 0 % 22.78/3.96 | | | | % 22.78/3.96 | | | | GROUND_INST: instantiating (4) with all_85_5, all_89_5, all_32_7, % 22.78/3.96 | | | | all_46_2, simplifying with (126), (133) gives: % 22.78/3.96 | | | | (218) all_89_5 = all_85_5 % 22.78/3.96 | | | | % 22.78/3.96 | | | | GROUND_INST: instantiating (4) with all_89_5, all_89_3, all_32_7, % 22.78/3.96 | | | | all_46_2, simplifying with (133), (134) gives: % 22.78/3.96 | | | | (219) all_89_3 = all_89_5 % 22.78/3.96 | | | | % 22.78/3.96 | | | | GROUND_INST: instantiating (4) with all_93_5, all_95_3, all_32_7, % 22.78/3.96 | | | | all_46_2, simplifying with (142), (147) gives: % 22.78/3.96 | | | | (220) all_95_3 = all_93_5 % 22.78/3.96 | | | | % 22.78/3.96 | | | | GROUND_INST: instantiating (4) with all_93_5, all_103_5, all_32_7, % 22.78/3.96 | | | | all_46_2, simplifying with (142), (167) gives: % 22.78/3.96 | | | | (221) all_103_5 = all_93_5 % 22.78/3.96 | | | | % 22.78/3.96 | | | | GROUND_INST: instantiating (4) with all_91_3, all_103_5, all_32_7, % 22.78/3.96 | | | | all_46_2, simplifying with (138), (167) gives: % 22.78/3.96 | | | | (222) all_103_5 = all_91_3 % 22.78/3.96 | | | | % 22.78/3.96 | | | | GROUND_INST: instantiating (4) with all_91_5, all_103_5, all_32_7, % 22.78/3.96 | | | | all_46_2, simplifying with (137), (167) gives: % 22.78/3.96 | | | | (223) all_103_5 = all_91_5 % 22.78/3.96 | | | | % 22.78/3.96 | | | | GROUND_INST: instantiating (4) with all_89_3, all_103_5, all_32_7, % 22.78/3.96 | | | | all_46_2, simplifying with (134), (167) gives: % 22.78/3.96 | | | | (224) all_103_5 = all_89_3 % 22.78/3.96 | | | | % 22.78/3.96 | | | | GROUND_INST: instantiating (4) with all_107_3, all_109_5, all_32_7, % 22.78/3.96 | | | | all_46_2, simplifying with (176), (180) gives: % 22.78/3.96 | | | | (225) all_109_5 = all_107_3 % 22.78/3.96 | | | | % 22.78/3.96 | | | | GROUND_INST: instantiating (4) with all_103_3, all_109_5, all_32_7, % 22.78/3.96 | | | | all_46_2, simplifying with (168), (180) gives: % 22.78/3.96 | | | | (226) all_109_5 = all_103_3 % 22.78/3.96 | | | | % 22.78/3.96 | | | | GROUND_INST: instantiating (4) with all_107_3, all_109_3, all_32_7, % 22.78/3.97 | | | | all_46_2, simplifying with (176), (181) gives: % 22.78/3.97 | | | | (227) all_109_3 = all_107_3 % 22.78/3.97 | | | | % 22.78/3.97 | | | | GROUND_INST: instantiating (4) with all_95_3, all_109_3, all_32_7, % 22.78/3.97 | | | | all_46_2, simplifying with (147), (181) gives: % 22.78/3.97 | | | | (228) all_109_3 = all_95_3 % 22.78/3.97 | | | | % 22.78/3.97 | | | | GROUND_INST: instantiating (4) with all_87_3, all_109_3, all_32_7, % 22.78/3.97 | | | | all_46_2, simplifying with (130), (181) gives: % 22.78/3.97 | | | | (229) all_109_3 = all_87_3 % 22.78/3.97 | | | | % 22.78/3.97 | | | | GROUND_INST: instantiating (4) with all_111_3, all_113_5, all_32_7, % 22.78/3.97 | | | | all_46_2, simplifying with (184), (187) gives: % 22.78/3.97 | | | | (230) all_113_5 = all_111_3 % 22.78/3.97 | | | | % 22.78/3.97 | | | | GROUND_INST: instantiating (4) with all_109_3, all_113_5, all_32_7, % 22.78/3.97 | | | | all_46_2, simplifying with (181), (187) gives: % 22.78/3.97 | | | | (231) all_113_5 = all_109_3 % 22.78/3.97 | | | | % 22.78/3.97 | | | | GROUND_INST: instantiating (4) with all_105_5, all_113_5, all_32_7, % 22.78/3.97 | | | | all_46_2, simplifying with (173), (187) gives: % 22.78/3.97 | | | | (232) all_113_5 = all_105_5 % 22.78/3.97 | | | | % 22.78/3.97 | | | | GROUND_INST: instantiating (4) with 0, all_83_4, all_32_5, all_46_1, % 22.78/3.97 | | | | simplifying with (39), (121) gives: % 22.78/3.97 | | | | (233) all_83_4 = 0 % 22.78/3.97 | | | | % 22.78/3.97 | | | | GROUND_INST: instantiating (4) with all_83_4, all_99_4, all_32_5, % 22.78/3.97 | | | | all_46_1, simplifying with (121), (159) gives: % 22.78/3.97 | | | | (234) all_99_4 = all_83_4 % 22.78/3.97 | | | | % 22.78/3.97 | | | | GROUND_INST: instantiating (4) with all_99_4, all_99_2, all_32_5, % 22.78/3.97 | | | | all_46_1, simplifying with (159), (160) gives: % 22.78/3.97 | | | | (235) all_99_2 = all_99_4 % 22.78/3.97 | | | | % 22.78/3.97 | | | | GROUND_INST: instantiating (4) with all_81_2, all_99_2, all_32_5, % 22.78/3.97 | | | | all_46_1, simplifying with (113), (160) gives: % 22.78/3.97 | | | | (236) all_99_2 = all_81_2 % 22.78/3.97 | | | | % 22.78/3.97 | | | | GROUND_INST: instantiating (4) with all_87_2, all_91_2, all_32_6, % 22.78/3.97 | | | | all_60_0, simplifying with (131), (139) gives: % 22.78/3.97 | | | | (237) all_91_2 = all_87_2 % 22.78/3.97 | | | | % 22.78/3.97 | | | | GROUND_INST: instantiating (4) with all_91_2, all_93_4, all_32_6, % 22.78/3.97 | | | | all_60_0, simplifying with (139), (143) gives: % 22.78/3.97 | | | | (238) all_93_4 = all_91_2 % 22.78/3.97 | | | | % 22.78/3.97 | | | | GROUND_INST: instantiating (4) with all_81_3, all_93_4, all_32_6, % 22.78/3.97 | | | | all_60_0, simplifying with (114), (143) gives: % 22.78/3.97 | | | | (239) all_93_4 = all_81_3 % 22.78/3.97 | | | | % 22.78/3.97 | | | | GROUND_INST: instantiating (4) with all_91_2, all_99_5, all_32_6, % 22.78/3.97 | | | | all_60_0, simplifying with (139), (161) gives: % 22.78/3.97 | | | | (240) all_99_5 = all_91_2 % 22.78/3.97 | | | | % 22.78/3.97 | | | | GROUND_INST: instantiating (4) with all_89_4, all_99_5, all_32_6, % 22.78/3.97 | | | | all_60_0, simplifying with (135), (161) gives: % 22.78/3.97 | | | | (241) all_99_5 = all_89_4 % 22.78/3.97 | | | | % 22.78/3.97 | | | | GROUND_INST: instantiating (4) with 0, all_99_3, all_32_6, all_60_0, % 22.78/3.97 | | | | simplifying with (68), (162) gives: % 22.78/3.97 | | | | (242) all_99_3 = 0 % 22.78/3.97 | | | | % 22.78/3.97 | | | | GROUND_INST: instantiating (4) with all_87_2, all_99_3, all_32_6, % 22.78/3.97 | | | | all_60_0, simplifying with (131), (162) gives: % 22.78/3.97 | | | | (243) all_99_3 = all_87_2 % 22.78/3.97 | | | | % 22.78/3.97 | | | | GROUND_INST: instantiating (4) with all_95_2, all_103_4, all_32_6, % 22.78/3.97 | | | | all_60_0, simplifying with (148), (169) gives: % 22.78/3.97 | | | | (244) all_103_4 = all_95_2 % 22.78/3.97 | | | | % 22.78/3.97 | | | | GROUND_INST: instantiating (4) with all_87_2, all_103_4, all_32_6, % 22.78/3.97 | | | | all_60_0, simplifying with (131), (169) gives: % 22.78/3.97 | | | | (245) all_103_4 = all_87_2 % 22.78/3.97 | | | | % 22.78/3.97 | | | | GROUND_INST: instantiating (4) with all_83_5, all_103_4, all_32_6, % 22.78/3.97 | | | | all_60_0, simplifying with (122), (169) gives: % 22.78/3.97 | | | | (246) all_103_4 = all_83_5 % 22.78/3.97 | | | | % 22.78/3.97 | | | | GROUND_INST: instantiating (4) with all_99_3, all_103_2, all_32_6, % 22.78/3.97 | | | | all_60_0, simplifying with (162), (170) gives: % 22.78/3.97 | | | | (247) all_103_2 = all_99_3 % 22.78/3.97 | | | | % 22.78/3.97 | | | | GROUND_INST: instantiating (4) with all_85_4, all_103_2, all_32_6, % 22.78/3.97 | | | | all_60_0, simplifying with (127), (170) gives: % 22.78/3.97 | | | | (248) all_103_2 = all_85_4 % 22.78/3.97 | | | | % 22.78/3.97 | | | | GROUND_INST: instantiating (4) with all_81_5, all_83_3, all_32_6, % 22.78/3.97 | | | | all_64_0, simplifying with (115), (123) gives: % 22.78/3.97 | | | | (249) all_83_3 = all_81_5 % 22.78/3.97 | | | | % 22.78/3.97 | | | | GROUND_INST: instantiating (4) with all_83_3, all_93_2, all_32_6, % 22.78/3.97 | | | | all_64_0, simplifying with (123), (144) gives: % 22.78/3.97 | | | | (250) all_93_2 = all_83_3 % 22.78/3.97 | | | | % 22.78/3.97 | | | | GROUND_INST: instantiating (4) with all_95_4, all_97_5, all_32_6, % 22.78/3.97 | | | | all_64_0, simplifying with (149), (156) gives: % 22.78/3.97 | | | | (251) all_97_5 = all_95_4 % 22.78/3.97 | | | | % 22.78/3.97 | | | | GROUND_INST: instantiating (4) with all_93_2, all_97_5, all_32_6, % 22.78/3.97 | | | | all_64_0, simplifying with (144), (156) gives: % 22.78/3.97 | | | | (252) all_97_5 = all_93_2 % 22.78/3.97 | | | | % 22.78/3.97 | | | | GROUND_INST: instantiating (4) with 0, all_107_4, all_32_6, all_64_0, % 22.78/3.97 | | | | simplifying with (85), (177) gives: % 22.78/3.97 | | | | (253) all_107_4 = 0 % 22.78/3.97 | | | | % 22.78/3.97 | | | | GROUND_INST: instantiating (4) with all_97_5, all_107_4, all_32_6, % 22.78/3.97 | | | | all_64_0, simplifying with (156), (177) gives: % 22.78/3.97 | | | | (254) all_107_4 = all_97_5 % 22.78/3.97 | | | | % 22.78/3.97 | | | | GROUND_INST: instantiating (4) with all_107_4, all_113_2, all_32_6, % 22.78/3.97 | | | | all_64_0, simplifying with (177), (188) gives: % 22.78/3.97 | | | | (255) all_113_2 = all_107_4 % 22.78/3.97 | | | | % 22.78/3.97 | | | | GROUND_INST: instantiating (4) with all_113_2, all_115_4, all_32_6, % 22.78/3.97 | | | | all_64_0, simplifying with (188), (192) gives: % 22.78/3.97 | | | | (256) all_115_4 = all_113_2 % 22.78/3.97 | | | | % 22.78/3.97 | | | | GROUND_INST: instantiating (4) with all_115_4, all_117_2, all_32_6, % 22.78/3.97 | | | | all_64_0, simplifying with (192), (196) gives: % 22.78/3.97 | | | | (257) all_117_2 = all_115_4 % 22.78/3.97 | | | | % 22.78/3.97 | | | | GROUND_INST: instantiating (4) with all_97_3, all_117_2, all_32_6, % 22.78/3.97 | | | | all_64_0, simplifying with (157), (196) gives: % 22.78/3.97 | | | | (258) all_117_2 = all_97_3 % 22.78/3.97 | | | | % 22.78/3.97 | | | | GROUND_INST: instantiating (5) with 0, all_107_1, all_46_2, all_46_4, % 22.78/3.97 | | | | all_32_4, simplifying with (40), (178) gives: % 22.78/3.97 | | | | (259) all_107_1 = 0 % 22.78/3.97 | | | | % 22.78/3.97 | | | | GROUND_INST: instantiating (5) with all_95_1, all_107_1, all_46_2, % 22.78/3.97 | | | | all_46_4, all_32_4, simplifying with (150), (178) gives: % 22.78/3.97 | | | | (260) all_107_1 = all_95_1 % 22.78/3.97 | | | | % 22.78/3.97 | | | | GROUND_INST: instantiating (5) with all_81_1, all_95_0, all_60_0, % 22.78/3.97 | | | | all_64_0, all_32_3, simplifying with (116), (151) gives: % 22.78/3.97 | | | | (261) all_95_0 = all_81_1 % 22.78/3.97 | | | | % 22.78/3.97 | | | | GROUND_INST: instantiating (5) with all_46_0, all_81_0, all_46_1, % 22.78/3.97 | | | | all_46_3, all_32_2, simplifying with (41), (117) gives: % 22.78/3.97 | | | | (262) all_81_0 = all_46_0 % 22.78/3.97 | | | | % 22.78/3.97 | | | | COMBINE_EQS: (257), (258) imply: % 22.78/3.97 | | | | (263) all_115_4 = all_97_3 % 22.78/3.97 | | | | % 22.78/3.97 | | | | SIMP: (263) implies: % 22.78/3.97 | | | | (264) all_115_4 = all_97_3 % 22.78/3.97 | | | | % 22.78/3.97 | | | | COMBINE_EQS: (211), (212) imply: % 22.78/3.97 | | | | (265) all_117_5 = all_105_3 % 22.78/3.97 | | | | % 22.78/3.97 | | | | SIMP: (265) implies: % 22.78/3.97 | | | | (266) all_117_5 = all_105_3 % 22.78/3.97 | | | | % 22.78/3.97 | | | | COMBINE_EQS: (210), (266) imply: % 22.78/3.97 | | | | (267) all_115_3 = all_105_3 % 22.78/3.97 | | | | % 22.78/3.97 | | | | SIMP: (267) implies: % 22.78/3.97 | | | | (268) all_115_3 = all_105_3 % 22.78/3.97 | | | | % 22.78/3.97 | | | | COMBINE_EQS: (209), (268) imply: % 22.78/3.97 | | | | (269) all_105_3 = all_101_3 % 22.78/3.97 | | | | % 22.78/3.97 | | | | COMBINE_EQS: (208), (268) imply: % 22.78/3.97 | | | | (270) all_111_5 = all_105_3 % 22.78/3.97 | | | | % 22.78/3.97 | | | | SIMP: (270) implies: % 22.78/3.97 | | | | (271) all_111_5 = all_105_3 % 22.78/3.97 | | | | % 22.78/3.97 | | | | COMBINE_EQS: (256), (264) imply: % 22.78/3.97 | | | | (272) all_113_2 = all_97_3 % 22.78/3.97 | | | | % 22.78/3.97 | | | | SIMP: (272) implies: % 22.78/3.97 | | | | (273) all_113_2 = all_97_3 % 22.78/3.97 | | | | % 22.78/3.97 | | | | COMBINE_EQS: (206), (207) imply: % 22.78/3.97 | | | | (274) all_113_3 = all_85_3 % 22.78/3.97 | | | | % 22.78/3.97 | | | | SIMP: (274) implies: % 22.78/3.97 | | | | (275) all_113_3 = all_85_3 % 22.78/3.97 | | | | % 22.78/3.97 | | | | COMBINE_EQS: (255), (273) imply: % 22.78/3.97 | | | | (276) all_107_4 = all_97_3 % 22.78/3.97 | | | | % 22.78/3.97 | | | | SIMP: (276) implies: % 22.78/3.97 | | | | (277) all_107_4 = all_97_3 % 22.78/3.97 | | | | % 22.78/3.97 | | | | COMBINE_EQS: (204), (205) imply: % 22.78/3.97 | | | | (278) all_101_5 = all_95_5 % 22.78/3.97 | | | | % 22.78/3.97 | | | | COMBINE_EQS: (204), (275) imply: % 22.78/3.97 | | | | (279) all_101_5 = all_85_3 % 22.78/3.97 | | | | % 22.78/3.97 | | | | COMBINE_EQS: (230), (231) imply: % 22.78/3.97 | | | | (280) all_111_3 = all_109_3 % 22.78/3.97 | | | | % 22.78/3.97 | | | | COMBINE_EQS: (230), (232) imply: % 22.78/3.97 | | | | (281) all_111_3 = all_105_5 % 22.78/3.97 | | | | % 22.78/3.97 | | | | COMBINE_EQS: (280), (281) imply: % 22.78/3.97 | | | | (282) all_109_3 = all_105_5 % 22.78/3.97 | | | | % 22.78/3.97 | | | | SIMP: (282) implies: % 22.78/3.97 | | | | (283) all_109_3 = all_105_5 % 22.78/3.97 | | | | % 22.78/3.97 | | | | COMBINE_EQS: (203), (271) imply: % 22.78/3.97 | | | | (284) all_105_3 = all_79_3 % 22.78/3.97 | | | | % 22.78/3.97 | | | | SIMP: (284) implies: % 22.78/3.97 | | | | (285) all_105_3 = all_79_3 % 22.78/3.97 | | | | % 22.78/3.97 | | | | COMBINE_EQS: (229), (283) imply: % 22.78/3.97 | | | | (286) all_105_5 = all_87_3 % 22.78/3.97 | | | | % 22.78/3.97 | | | | COMBINE_EQS: (227), (283) imply: % 22.78/3.97 | | | | (287) all_107_3 = all_105_5 % 22.78/3.97 | | | | % 22.78/3.97 | | | | SIMP: (287) implies: % 22.78/3.97 | | | | (288) all_107_3 = all_105_5 % 22.78/3.97 | | | | % 22.78/3.97 | | | | COMBINE_EQS: (228), (283) imply: % 22.78/3.97 | | | | (289) all_105_5 = all_95_3 % 22.78/3.97 | | | | % 22.78/3.97 | | | | COMBINE_EQS: (225), (226) imply: % 22.78/3.97 | | | | (290) all_107_3 = all_103_3 % 22.78/3.97 | | | | % 22.78/3.97 | | | | SIMP: (290) implies: % 22.78/3.97 | | | | (291) all_107_3 = all_103_3 % 22.78/3.97 | | | | % 22.78/3.97 | | | | COMBINE_EQS: (259), (260) imply: % 22.78/3.97 | | | | (292) all_95_1 = 0 % 22.78/3.97 | | | | % 22.78/3.97 | | | | COMBINE_EQS: (288), (291) imply: % 22.78/3.97 | | | | (293) all_105_5 = all_103_3 % 22.78/3.97 | | | | % 22.78/3.97 | | | | SIMP: (293) implies: % 22.78/3.97 | | | | (294) all_105_5 = all_103_3 % 22.78/3.97 | | | | % 22.78/3.97 | | | | COMBINE_EQS: (254), (277) imply: % 22.78/3.97 | | | | (295) all_97_3 = all_97_5 % 22.78/3.97 | | | | % 22.78/3.97 | | | | COMBINE_EQS: (253), (277) imply: % 22.78/3.97 | | | | (296) all_97_3 = 0 % 22.78/3.97 | | | | % 22.78/3.97 | | | | COMBINE_EQS: (201), (202) imply: % 22.78/3.97 | | | | (297) all_101_3 = all_93_3 % 22.78/3.97 | | | | % 22.78/3.97 | | | | SIMP: (297) implies: % 22.78/3.97 | | | | (298) all_101_3 = all_93_3 % 22.78/3.97 | | | | % 22.78/3.97 | | | | COMBINE_EQS: (269), (285) imply: % 22.78/3.97 | | | | (299) all_101_3 = all_79_3 % 22.78/3.97 | | | | % 22.78/3.97 | | | | SIMP: (299) implies: % 22.78/3.97 | | | | (300) all_101_3 = all_79_3 % 22.78/3.97 | | | | % 22.78/3.97 | | | | COMBINE_EQS: (289), (294) imply: % 22.78/3.97 | | | | (301) all_103_3 = all_95_3 % 22.78/3.97 | | | | % 22.78/3.97 | | | | COMBINE_EQS: (286), (294) imply: % 22.78/3.97 | | | | (302) all_103_3 = all_87_3 % 22.78/3.97 | | | | % 22.78/3.97 | | | | COMBINE_EQS: (247), (248) imply: % 22.78/3.97 | | | | (303) all_99_3 = all_85_4 % 22.78/3.97 | | | | % 22.78/3.97 | | | | SIMP: (303) implies: % 22.78/3.97 | | | | (304) all_99_3 = all_85_4 % 22.78/3.97 | | | | % 22.78/3.97 | | | | COMBINE_EQS: (301), (302) imply: % 22.78/3.97 | | | | (305) all_95_3 = all_87_3 % 22.78/3.97 | | | | % 22.78/3.97 | | | | SIMP: (305) implies: % 22.78/3.97 | | | | (306) all_95_3 = all_87_3 % 22.78/3.97 | | | | % 22.78/3.97 | | | | COMBINE_EQS: (244), (245) imply: % 22.78/3.97 | | | | (307) all_95_2 = all_87_2 % 22.78/3.97 | | | | % 22.78/3.97 | | | | COMBINE_EQS: (244), (246) imply: % 22.78/3.97 | | | | (308) all_95_2 = all_83_5 % 22.78/3.97 | | | | % 22.78/3.97 | | | | COMBINE_EQS: (221), (222) imply: % 22.78/3.98 | | | | (309) all_93_5 = all_91_3 % 22.78/3.98 | | | | % 22.78/3.98 | | | | SIMP: (309) implies: % 22.78/3.98 | | | | (310) all_93_5 = all_91_3 % 22.78/3.98 | | | | % 22.78/3.98 | | | | COMBINE_EQS: (222), (224) imply: % 22.78/3.98 | | | | (311) all_91_3 = all_89_3 % 22.78/3.98 | | | | % 22.78/3.98 | | | | COMBINE_EQS: (222), (223) imply: % 22.78/3.98 | | | | (312) all_91_3 = all_91_5 % 22.78/3.98 | | | | % 22.78/3.98 | | | | COMBINE_EQS: (200), (298) imply: % 22.78/3.98 | | | | (313) all_93_3 = all_87_5 % 22.78/3.98 | | | | % 22.78/3.98 | | | | COMBINE_EQS: (298), (300) imply: % 22.78/3.98 | | | | (314) all_93_3 = all_79_3 % 22.78/3.98 | | | | % 22.78/3.98 | | | | COMBINE_EQS: (278), (279) imply: % 22.78/3.98 | | | | (315) all_95_5 = all_85_3 % 22.78/3.98 | | | | % 22.78/3.98 | | | | SIMP: (315) implies: % 22.78/3.98 | | | | (316) all_95_5 = all_85_3 % 22.78/3.98 | | | | % 22.78/3.98 | | | | COMBINE_EQS: (235), (236) imply: % 22.78/3.98 | | | | (317) all_99_4 = all_81_2 % 22.78/3.98 | | | | % 22.78/3.98 | | | | SIMP: (317) implies: % 22.78/3.98 | | | | (318) all_99_4 = all_81_2 % 22.78/3.98 | | | | % 22.78/3.98 | | | | COMBINE_EQS: (242), (304) imply: % 22.78/3.98 | | | | (319) all_85_4 = 0 % 22.78/3.98 | | | | % 22.78/3.98 | | | | COMBINE_EQS: (243), (304) imply: % 22.78/3.98 | | | | (320) all_87_2 = all_85_4 % 22.78/3.98 | | | | % 22.78/3.98 | | | | SIMP: (320) implies: % 22.78/3.98 | | | | (321) all_87_2 = all_85_4 % 22.78/3.98 | | | | % 22.78/3.98 | | | | COMBINE_EQS: (234), (318) imply: % 22.78/3.98 | | | | (322) all_83_4 = all_81_2 % 22.78/3.98 | | | | % 22.78/3.98 | | | | SIMP: (322) implies: % 22.78/3.98 | | | | (323) all_83_4 = all_81_2 % 22.78/3.98 | | | | % 22.78/3.98 | | | | COMBINE_EQS: (240), (241) imply: % 22.78/3.98 | | | | (324) all_91_2 = all_89_4 % 22.78/3.98 | | | | % 22.78/3.98 | | | | SIMP: (324) implies: % 22.78/3.98 | | | | (325) all_91_2 = all_89_4 % 22.78/3.98 | | | | % 22.78/3.98 | | | | COMBINE_EQS: (214), (215) imply: % 22.78/3.98 | | | | (326) all_97_4 = 0 % 22.78/3.98 | | | | % 22.78/3.98 | | | | COMBINE_EQS: (215), (216) imply: % 22.78/3.98 | | | | (327) all_97_4 = all_83_2 % 22.78/3.98 | | | | % 22.78/3.98 | | | | COMBINE_EQS: (295), (296) imply: % 22.78/3.98 | | | | (328) all_97_5 = 0 % 22.78/3.98 | | | | % 22.78/3.98 | | | | SIMP: (328) implies: % 22.78/3.98 | | | | (329) all_97_5 = 0 % 22.78/3.98 | | | | % 22.78/3.98 | | | | COMBINE_EQS: (326), (327) imply: % 22.78/3.98 | | | | (330) all_83_2 = 0 % 22.78/3.98 | | | | % 22.78/3.98 | | | | SIMP: (330) implies: % 22.78/3.98 | | | | (331) all_83_2 = 0 % 22.78/3.98 | | | | % 22.78/3.98 | | | | COMBINE_EQS: (251), (329) imply: % 22.78/3.98 | | | | (332) all_95_4 = 0 % 22.78/3.98 | | | | % 22.78/3.98 | | | | COMBINE_EQS: (251), (252) imply: % 22.78/3.98 | | | | (333) all_95_4 = all_93_2 % 22.78/3.98 | | | | % 22.78/3.98 | | | | COMBINE_EQS: (307), (308) imply: % 22.78/3.98 | | | | (334) all_87_2 = all_83_5 % 22.78/3.98 | | | | % 22.78/3.98 | | | | SIMP: (334) implies: % 22.78/3.98 | | | | (335) all_87_2 = all_83_5 % 22.78/3.98 | | | | % 22.78/3.98 | | | | COMBINE_EQS: (220), (306) imply: % 22.78/3.98 | | | | (336) all_93_5 = all_87_3 % 22.78/3.98 | | | | % 22.78/3.98 | | | | SIMP: (336) implies: % 22.78/3.98 | | | | (337) all_93_5 = all_87_3 % 22.78/3.98 | | | | % 22.78/3.98 | | | | COMBINE_EQS: (332), (333) imply: % 22.78/3.98 | | | | (338) all_93_2 = 0 % 22.78/3.98 | | | | % 22.78/3.98 | | | | SIMP: (338) implies: % 22.78/3.98 | | | | (339) all_93_2 = 0 % 22.78/3.98 | | | | % 22.78/3.98 | | | | COMBINE_EQS: (199), (316) imply: % 22.78/3.98 | | | | (340) all_87_5 = all_85_3 % 22.78/3.98 | | | | % 22.78/3.98 | | | | SIMP: (340) implies: % 22.78/3.98 | | | | (341) all_87_5 = all_85_3 % 22.78/3.98 | | | | % 22.78/3.98 | | | | COMBINE_EQS: (250), (339) imply: % 22.78/3.98 | | | | (342) all_83_3 = 0 % 22.78/3.98 | | | | % 22.78/3.98 | | | | SIMP: (342) implies: % 22.78/3.98 | | | | (343) all_83_3 = 0 % 22.78/3.98 | | | | % 22.78/3.98 | | | | COMBINE_EQS: (313), (314) imply: % 22.78/3.98 | | | | (344) all_87_5 = all_79_3 % 22.78/3.98 | | | | % 22.78/3.98 | | | | SIMP: (344) implies: % 22.78/3.98 | | | | (345) all_87_5 = all_79_3 % 22.78/3.98 | | | | % 22.78/3.98 | | | | COMBINE_EQS: (238), (239) imply: % 22.78/3.98 | | | | (346) all_91_2 = all_81_3 % 22.78/3.98 | | | | % 22.78/3.98 | | | | SIMP: (346) implies: % 22.78/3.98 | | | | (347) all_91_2 = all_81_3 % 22.78/3.98 | | | | % 22.78/3.98 | | | | COMBINE_EQS: (310), (337) imply: % 22.78/3.98 | | | | (348) all_91_3 = all_87_3 % 22.78/3.98 | | | | % 22.78/3.98 | | | | SIMP: (348) implies: % 22.78/3.98 | | | | (349) all_91_3 = all_87_3 % 22.78/3.98 | | | | % 22.78/3.98 | | | | COMBINE_EQS: (325), (347) imply: % 22.78/3.98 | | | | (350) all_89_4 = all_81_3 % 22.78/3.98 | | | | % 22.78/3.98 | | | | COMBINE_EQS: (237), (325) imply: % 22.78/3.98 | | | | (351) all_89_4 = all_87_2 % 22.78/3.98 | | | | % 22.78/3.98 | | | | COMBINE_EQS: (311), (312) imply: % 22.78/3.98 | | | | (352) all_91_5 = all_89_3 % 22.78/3.98 | | | | % 22.78/3.98 | | | | COMBINE_EQS: (312), (349) imply: % 22.78/3.98 | | | | (353) all_91_5 = all_87_3 % 22.78/3.98 | | | | % 22.78/3.98 | | | | COMBINE_EQS: (352), (353) imply: % 22.78/3.98 | | | | (354) all_89_3 = all_87_3 % 22.78/3.98 | | | | % 22.78/3.98 | | | | SIMP: (354) implies: % 22.78/3.98 | | | | (355) all_89_3 = all_87_3 % 22.78/3.98 | | | | % 22.78/3.98 | | | | COMBINE_EQS: (219), (355) imply: % 22.78/3.98 | | | | (356) all_89_5 = all_87_3 % 22.78/3.98 | | | | % 22.78/3.98 | | | | SIMP: (356) implies: % 22.78/3.98 | | | | (357) all_89_5 = all_87_3 % 22.78/3.98 | | | | % 22.78/3.98 | | | | COMBINE_EQS: (350), (351) imply: % 22.78/3.98 | | | | (358) all_87_2 = all_81_3 % 22.78/3.98 | | | | % 22.78/3.98 | | | | SIMP: (358) implies: % 22.78/3.98 | | | | (359) all_87_2 = all_81_3 % 22.78/3.98 | | | | % 22.78/3.98 | | | | COMBINE_EQS: (218), (357) imply: % 22.78/3.98 | | | | (360) all_87_3 = all_85_5 % 22.78/3.98 | | | | % 22.78/3.98 | | | | COMBINE_EQS: (217), (357) imply: % 22.78/3.98 | | | | (361) all_87_3 = 0 % 22.78/3.98 | | | | % 22.78/3.98 | | | | COMBINE_EQS: (321), (335) imply: % 22.78/3.98 | | | | (362) all_85_4 = all_83_5 % 22.78/3.98 | | | | % 22.78/3.98 | | | | SIMP: (362) implies: % 22.78/3.98 | | | | (363) all_85_4 = all_83_5 % 22.78/3.98 | | | | % 22.78/3.98 | | | | COMBINE_EQS: (335), (359) imply: % 22.78/3.98 | | | | (364) all_83_5 = all_81_3 % 22.78/3.98 | | | | % 22.78/3.98 | | | | COMBINE_EQS: (360), (361) imply: % 22.78/3.98 | | | | (365) all_85_5 = 0 % 22.78/3.98 | | | | % 22.78/3.98 | | | | COMBINE_EQS: (197), (341) imply: % 22.78/3.98 | | | | (366) all_85_3 = 0 % 22.78/3.98 | | | | % 22.78/3.98 | | | | COMBINE_EQS: (198), (341) imply: % 22.78/3.98 | | | | (367) all_85_3 = all_79_5 % 22.78/3.98 | | | | % 22.78/3.98 | | | | COMBINE_EQS: (341), (345) imply: % 22.78/3.98 | | | | (368) all_85_3 = all_79_3 % 22.78/3.98 | | | | % 22.78/3.98 | | | | COMBINE_EQS: (366), (368) imply: % 22.78/3.98 | | | | (369) all_79_3 = 0 % 22.78/3.98 | | | | % 22.78/3.98 | | | | COMBINE_EQS: (367), (368) imply: % 22.78/3.98 | | | | (370) all_79_3 = all_79_5 % 22.78/3.98 | | | | % 22.78/3.98 | | | | COMBINE_EQS: (319), (363) imply: % 22.78/3.98 | | | | (371) all_83_5 = 0 % 22.78/3.98 | | | | % 22.78/3.98 | | | | SIMP: (371) implies: % 22.78/3.98 | | | | (372) all_83_5 = 0 % 22.78/3.98 | | | | % 22.78/3.98 | | | | COMBINE_EQS: (213), (331) imply: % 22.78/3.98 | | | | (373) all_81_4 = 0 % 22.78/3.98 | | | | % 22.78/3.98 | | | | SIMP: (373) implies: % 22.78/3.98 | | | | (374) all_81_4 = 0 % 22.78/3.98 | | | | % 22.78/3.98 | | | | COMBINE_EQS: (249), (343) imply: % 22.78/3.98 | | | | (375) all_81_5 = 0 % 22.78/3.98 | | | | % 22.78/3.98 | | | | SIMP: (375) implies: % 22.78/3.98 | | | | (376) all_81_5 = 0 % 22.78/3.98 | | | | % 22.78/3.98 | | | | COMBINE_EQS: (233), (323) imply: % 22.78/3.98 | | | | (377) all_81_2 = 0 % 22.78/3.98 | | | | % 22.78/3.98 | | | | COMBINE_EQS: (364), (372) imply: % 22.78/3.98 | | | | (378) all_81_3 = 0 % 22.78/3.98 | | | | % 22.78/3.98 | | | | COMBINE_EQS: (369), (370) imply: % 22.78/3.98 | | | | (379) all_79_5 = 0 % 22.78/3.98 | | | | % 22.78/3.98 | | | | COMBINE_EQS: (316), (366) imply: % 22.78/3.98 | | | | (380) all_95_5 = 0 % 22.78/3.98 | | | | % 22.78/3.98 | | | | COMBINE_EQS: (306), (361) imply: % 22.78/3.98 | | | | (381) all_95_3 = 0 % 22.78/3.98 | | | | % 22.78/3.98 | | | | COMBINE_EQS: (308), (372) imply: % 22.78/3.98 | | | | (382) all_95_2 = 0 % 22.78/3.98 | | | | % 22.78/3.98 | | | | BETA: splitting (118) gives: % 22.78/3.98 | | | | % 22.78/3.98 | | | | Case 1: % 22.78/3.98 | | | | | % 22.78/3.98 | | | | | (383) ~ (all_81_1 = 0) % 22.78/3.98 | | | | | % 22.78/3.98 | | | | | BETA: splitting (152) gives: % 22.78/3.98 | | | | | % 22.78/3.98 | | | | | Case 1: % 22.78/3.98 | | | | | | % 22.78/3.98 | | | | | | (384) ~ (all_95_1 = 0) % 22.78/3.98 | | | | | | % 22.78/3.98 | | | | | | REDUCE: (292), (384) imply: % 22.78/3.98 | | | | | | (385) $false % 22.78/3.98 | | | | | | % 22.78/3.98 | | | | | | CLOSE: (385) is inconsistent. % 22.78/3.98 | | | | | | % 22.78/3.98 | | | | | Case 2: % 22.78/3.98 | | | | | | % 22.78/3.98 | | | | | | (386) ~ (all_95_2 = 0) | ~ (all_95_3 = 0) | ~ (all_95_4 = 0) | % 22.78/3.98 | | | | | | ~ (all_95_5 = 0) | all_95_0 = 0 % 22.78/3.98 | | | | | | % 22.78/3.98 | | | | | | BETA: splitting (386) gives: % 22.78/3.98 | | | | | | % 22.78/3.98 | | | | | | Case 1: % 22.78/3.98 | | | | | | | % 22.78/3.98 | | | | | | | (387) ~ (all_95_2 = 0) % 22.78/3.98 | | | | | | | % 22.78/3.98 | | | | | | | REDUCE: (382), (387) imply: % 22.78/3.98 | | | | | | | (388) $false % 22.78/3.98 | | | | | | | % 22.78/3.98 | | | | | | | CLOSE: (388) is inconsistent. % 22.78/3.98 | | | | | | | % 22.78/3.98 | | | | | | Case 2: % 22.78/3.98 | | | | | | | % 22.78/3.98 | | | | | | | (389) ~ (all_95_3 = 0) | ~ (all_95_4 = 0) | ~ (all_95_5 = 0) % 22.78/3.98 | | | | | | | | all_95_0 = 0 % 22.78/3.98 | | | | | | | % 22.78/3.98 | | | | | | | BETA: splitting (389) gives: % 22.78/3.98 | | | | | | | % 22.78/3.98 | | | | | | | Case 1: % 22.78/3.98 | | | | | | | | % 22.78/3.98 | | | | | | | | (390) ~ (all_95_3 = 0) % 22.78/3.98 | | | | | | | | % 22.78/3.98 | | | | | | | | REDUCE: (381), (390) imply: % 22.78/3.98 | | | | | | | | (391) $false % 22.78/3.98 | | | | | | | | % 22.78/3.98 | | | | | | | | CLOSE: (391) is inconsistent. % 22.78/3.98 | | | | | | | | % 22.78/3.98 | | | | | | | Case 2: % 22.78/3.98 | | | | | | | | % 22.78/3.98 | | | | | | | | (392) ~ (all_95_4 = 0) | ~ (all_95_5 = 0) | all_95_0 = 0 % 22.78/3.98 | | | | | | | | % 22.78/3.98 | | | | | | | | BETA: splitting (392) gives: % 22.78/3.98 | | | | | | | | % 22.78/3.98 | | | | | | | | Case 1: % 22.78/3.98 | | | | | | | | | % 22.78/3.98 | | | | | | | | | (393) ~ (all_95_4 = 0) % 22.78/3.98 | | | | | | | | | % 22.78/3.98 | | | | | | | | | REDUCE: (332), (393) imply: % 22.78/3.98 | | | | | | | | | (394) $false % 22.78/3.98 | | | | | | | | | % 22.78/3.98 | | | | | | | | | CLOSE: (394) is inconsistent. % 22.78/3.98 | | | | | | | | | % 22.78/3.98 | | | | | | | | Case 2: % 22.78/3.98 | | | | | | | | | % 22.78/3.98 | | | | | | | | | (395) ~ (all_95_5 = 0) | all_95_0 = 0 % 22.78/3.98 | | | | | | | | | % 22.78/3.98 | | | | | | | | | BETA: splitting (395) gives: % 22.78/3.98 | | | | | | | | | % 22.78/3.98 | | | | | | | | | Case 1: % 22.78/3.98 | | | | | | | | | | % 22.78/3.98 | | | | | | | | | | (396) ~ (all_95_5 = 0) % 22.78/3.98 | | | | | | | | | | % 22.78/3.98 | | | | | | | | | | REDUCE: (380), (396) imply: % 22.78/3.98 | | | | | | | | | | (397) $false % 22.78/3.98 | | | | | | | | | | % 22.78/3.98 | | | | | | | | | | CLOSE: (397) is inconsistent. % 22.78/3.98 | | | | | | | | | | % 22.78/3.98 | | | | | | | | | Case 2: % 22.78/3.98 | | | | | | | | | | % 22.78/3.98 | | | | | | | | | | (398) all_95_0 = 0 % 22.78/3.98 | | | | | | | | | | % 22.78/3.98 | | | | | | | | | | COMBINE_EQS: (261), (398) imply: % 22.78/3.98 | | | | | | | | | | (399) all_81_1 = 0 % 22.78/3.98 | | | | | | | | | | % 22.78/3.98 | | | | | | | | | | SIMP: (399) implies: % 22.78/3.98 | | | | | | | | | | (400) all_81_1 = 0 % 22.78/3.98 | | | | | | | | | | % 22.78/3.98 | | | | | | | | | | REDUCE: (383), (400) imply: % 22.78/3.98 | | | | | | | | | | (401) $false % 22.78/3.98 | | | | | | | | | | % 22.78/3.98 | | | | | | | | | | CLOSE: (401) is inconsistent. % 22.78/3.98 | | | | | | | | | | % 22.78/3.98 | | | | | | | | | End of split % 22.78/3.98 | | | | | | | | | % 22.78/3.98 | | | | | | | | End of split % 22.78/3.98 | | | | | | | | % 22.78/3.98 | | | | | | | End of split % 22.78/3.98 | | | | | | | % 22.78/3.98 | | | | | | End of split % 22.78/3.98 | | | | | | % 22.78/3.98 | | | | | End of split % 22.78/3.98 | | | | | % 22.78/3.98 | | | | Case 2: % 22.78/3.98 | | | | | % 22.78/3.98 | | | | | (402) ~ (all_81_2 = 0) | ~ (all_81_3 = 0) | ~ (all_81_4 = 0) | % 22.78/3.98 | | | | | ~ (all_81_5 = 0) | all_81_0 = 0 % 22.78/3.98 | | | | | % 22.78/3.98 | | | | | BETA: splitting (402) gives: % 22.78/3.98 | | | | | % 22.78/3.98 | | | | | Case 1: % 22.78/3.98 | | | | | | % 22.78/3.98 | | | | | | (403) ~ (all_81_2 = 0) % 22.78/3.98 | | | | | | % 22.78/3.98 | | | | | | REDUCE: (377), (403) imply: % 22.78/3.98 | | | | | | (404) $false % 22.78/3.98 | | | | | | % 22.78/3.98 | | | | | | CLOSE: (404) is inconsistent. % 22.78/3.98 | | | | | | % 22.78/3.98 | | | | | Case 2: % 22.78/3.98 | | | | | | % 22.78/3.98 | | | | | | (405) ~ (all_81_3 = 0) | ~ (all_81_4 = 0) | ~ (all_81_5 = 0) | % 22.78/3.98 | | | | | | all_81_0 = 0 % 22.78/3.98 | | | | | | % 22.78/3.98 | | | | | | BETA: splitting (405) gives: % 22.78/3.98 | | | | | | % 22.78/3.98 | | | | | | Case 1: % 22.78/3.98 | | | | | | | % 22.78/3.98 | | | | | | | (406) ~ (all_81_3 = 0) % 22.78/3.98 | | | | | | | % 22.78/3.98 | | | | | | | REDUCE: (378), (406) imply: % 22.78/3.98 | | | | | | | (407) $false % 22.78/3.98 | | | | | | | % 22.78/3.98 | | | | | | | CLOSE: (407) is inconsistent. % 22.78/3.98 | | | | | | | % 22.78/3.98 | | | | | | Case 2: % 22.78/3.98 | | | | | | | % 22.78/3.98 | | | | | | | (408) ~ (all_81_4 = 0) | ~ (all_81_5 = 0) | all_81_0 = 0 % 22.78/3.98 | | | | | | | % 22.78/3.98 | | | | | | | BETA: splitting (408) gives: % 22.78/3.98 | | | | | | | % 22.78/3.98 | | | | | | | Case 1: % 22.78/3.98 | | | | | | | | % 22.78/3.98 | | | | | | | | (409) ~ (all_81_4 = 0) % 22.78/3.98 | | | | | | | | % 22.78/3.98 | | | | | | | | REDUCE: (374), (409) imply: % 22.78/3.98 | | | | | | | | (410) $false % 22.78/3.98 | | | | | | | | % 22.78/3.98 | | | | | | | | CLOSE: (410) is inconsistent. % 22.78/3.98 | | | | | | | | % 22.78/3.98 | | | | | | | Case 2: % 22.78/3.98 | | | | | | | | % 22.78/3.98 | | | | | | | | (411) ~ (all_81_5 = 0) | all_81_0 = 0 % 22.78/3.98 | | | | | | | | % 22.78/3.98 | | | | | | | | BETA: splitting (411) gives: % 22.78/3.98 | | | | | | | | % 22.78/3.98 | | | | | | | | Case 1: % 22.78/3.98 | | | | | | | | | % 22.78/3.98 | | | | | | | | | (412) ~ (all_81_5 = 0) % 22.78/3.98 | | | | | | | | | % 22.78/3.98 | | | | | | | | | REDUCE: (376), (412) imply: % 22.78/3.98 | | | | | | | | | (413) $false % 22.78/3.98 | | | | | | | | | % 22.78/3.98 | | | | | | | | | CLOSE: (413) is inconsistent. % 22.78/3.98 | | | | | | | | | % 22.78/3.98 | | | | | | | | Case 2: % 22.78/3.98 | | | | | | | | | % 22.78/3.98 | | | | | | | | | (414) all_81_0 = 0 % 22.78/3.98 | | | | | | | | | % 22.78/3.98 | | | | | | | | | COMBINE_EQS: (262), (414) imply: % 22.78/3.98 | | | | | | | | | (415) all_46_0 = 0 % 22.78/3.98 | | | | | | | | | % 22.78/3.98 | | | | | | | | | SIMP: (415) implies: % 22.78/3.98 | | | | | | | | | (416) all_46_0 = 0 % 22.78/3.98 | | | | | | | | | % 22.78/3.98 | | | | | | | | | REDUCE: (31), (416) imply: % 22.78/3.98 | | | | | | | | | (417) $false % 22.78/3.98 | | | | | | | | | % 22.78/3.98 | | | | | | | | | CLOSE: (417) is inconsistent. % 22.78/3.98 | | | | | | | | | % 22.78/3.98 | | | | | | | | End of split % 22.78/3.98 | | | | | | | | % 22.78/3.98 | | | | | | | End of split % 22.78/3.98 | | | | | | | % 22.78/3.98 | | | | | | End of split % 22.78/3.98 | | | | | | % 22.78/3.98 | | | | | End of split % 22.78/3.98 | | | | | % 22.78/3.98 | | | | End of split % 22.78/3.98 | | | | % 22.78/3.99 | | | End of split % 22.78/3.99 | | | % 22.78/3.99 | | End of split % 22.78/3.99 | | % 22.78/3.99 | End of split % 22.78/3.99 | % 22.78/3.99 End of proof % 22.78/3.99 % SZS output end Proof for theBenchmark % 22.78/3.99 % 22.78/3.99 3381ms %------------------------------------------------------------------------------