%------------------------------------------------------------------------------ % File : Princess---230619 % Problem : SET747+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 : n028.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 15:26:16 EDT 2023 % Result : Theorem 12.67s 2.42s % Output : Proof 22.62s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SET747+4 : TPTP v8.1.2. Bugfixed v2.2.1. % 0.13/0.13 % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s % 0.13/0.34 % Computer : n028.cluster.edu % 0.13/0.34 % Model : x86_64 x86_64 % 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.13/0.34 % Memory : 8042.1875MB % 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.13/0.34 % CPULimit : 300 % 0.13/0.34 % WCLimit : 300 % 0.13/0.34 % DateTime : Sat Aug 26 13:48:37 EDT 2023 % 0.13/0.34 % CPUTime : % 0.20/0.61 ________ _____ % 0.20/0.61 ___ __ \_________(_)________________________________ % 0.20/0.61 __ /_/ /_ ___/_ /__ __ \ ___/ _ \_ ___/_ ___/ % 0.20/0.61 _ ____/_ / _ / _ / / / /__ / __/(__ )_(__ ) % 0.20/0.61 /_/ /_/ /_/ /_/ /_/\___/ \___//____/ /____/ % 0.20/0.61 % 0.20/0.61 A Theorem Prover for First-Order Logic modulo Linear Integer Arithmetic % 0.20/0.61 (2023-06-19) % 0.20/0.61 % 0.20/0.61 (c) Philipp Rümmer, 2009-2023 % 0.20/0.61 Contributors: Peter Backeman, Peter Baumgartner, Angelo Brillout, Zafer Esen, % 0.20/0.61 Amanda Stjerna. % 0.20/0.61 Free software under BSD-3-Clause. % 0.20/0.61 % 0.20/0.61 For more information, visit http://www.philipp.ruemmer.org/princess.shtml % 0.20/0.61 % 0.20/0.61 Loading /export/starexec/sandbox/benchmark/theBenchmark.p ... % 0.20/0.62 Running up to 7 provers in parallel. % 0.20/0.64 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1571432423 % 0.20/0.64 Prover 0: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893 % 0.20/0.64 Prover 2: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1065072994 % 0.20/0.64 Prover 3: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996 % 0.20/0.65 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696 % 0.20/0.65 Prover 5: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288 % 0.20/0.65 Prover 6: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365 % 3.49/1.18 Prover 4: Preprocessing ... % 3.49/1.18 Prover 1: Preprocessing ... % 3.76/1.22 Prover 3: Preprocessing ... % 3.76/1.22 Prover 2: Preprocessing ... % 3.76/1.22 Prover 5: Preprocessing ... % 3.76/1.22 Prover 0: Preprocessing ... % 3.76/1.22 Prover 6: Preprocessing ... % 9.30/1.99 Prover 5: Proving ... % 9.30/2.03 Prover 2: Proving ... % 9.94/2.07 Prover 6: Proving ... % 10.27/2.09 Prover 1: Constructing countermodel ... % 10.27/2.10 Prover 3: Constructing countermodel ... % 12.20/2.39 Prover 4: Constructing countermodel ... % 12.20/2.41 Prover 3: proved (1766ms) % 12.20/2.41 % 12.67/2.42 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p % 12.67/2.42 % 12.67/2.42 Prover 6: stopped % 12.67/2.42 Prover 5: stopped % 12.67/2.44 Prover 7: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470 % 12.67/2.44 Prover 2: stopped % 12.67/2.46 Prover 8: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089 % 12.67/2.46 Prover 0: Proving ... % 12.67/2.46 Prover 0: stopped % 12.97/2.50 Prover 10: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=919308125 % 12.97/2.50 Prover 11: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1509710984 % 12.97/2.50 Prover 7: Preprocessing ... % 12.97/2.50 Prover 13: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=1138197443 % 13.54/2.54 Prover 11: Preprocessing ... % 13.54/2.54 Prover 10: Preprocessing ... % 13.54/2.55 Prover 8: Preprocessing ... % 13.54/2.56 Prover 13: Preprocessing ... % 13.86/2.63 Prover 7: Warning: ignoring some quantifiers % 14.32/2.65 Prover 10: Warning: ignoring some quantifiers % 14.46/2.66 Prover 7: Constructing countermodel ... % 14.46/2.70 Prover 10: Constructing countermodel ... % 14.93/2.74 Prover 13: Warning: ignoring some quantifiers % 14.93/2.79 Prover 13: Constructing countermodel ... % 14.93/2.84 Prover 8: Warning: ignoring some quantifiers % 14.93/2.86 Prover 8: Constructing countermodel ... % 14.93/2.94 Prover 10: gave up % 15.78/2.95 Prover 16: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=completeFrugal -randomSeed=-2043353683 % 17.14/3.03 Prover 16: Preprocessing ... % 17.46/3.12 Prover 16: Warning: ignoring some quantifiers % 18.06/3.14 Prover 16: Constructing countermodel ... % 18.37/3.22 Prover 11: Constructing countermodel ... % 20.66/3.53 Prover 1: Found proof (size 342) % 20.66/3.53 Prover 1: proved (2900ms) % 20.66/3.53 Prover 4: stopped % 20.66/3.53 Prover 11: stopped % 20.66/3.53 Prover 16: stopped % 20.66/3.53 Prover 7: stopped % 20.66/3.53 Prover 8: stopped % 20.66/3.54 Prover 13: stopped % 20.66/3.54 % 20.66/3.54 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p % 20.66/3.54 % 21.60/3.68 % SZS output start Proof for theBenchmark % 21.60/3.68 Assumptions after simplification: % 21.60/3.68 --------------------------------- % 21.60/3.68 % 21.60/3.68 (compose_function) % 21.60/3.71 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: % 21.60/3.71 $i] : ! [v6: $i] : ! [v7: $i] : ! [v8: any] : ( ~ (compose_function(v0, % 21.60/3.71 v1, v2, v3, v4) = v7) | ~ (apply(v7, v5, v6) = v8) | ~ $i(v6) | ~ % 21.60/3.71 $i(v5) | ~ $i(v4) | ~ $i(v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v9: % 21.60/3.71 any] : ? [v10: any] : (member(v6, v4) = v10 & member(v5, v2) = v9 & ( ~ % 21.60/3.71 (v10 = 0) | ~ (v9 = 0))) | (( ~ (v8 = 0) | ? [v9: $i] : (apply(v1, v5, % 21.60/3.71 v9) = 0 & apply(v0, v9, v6) = 0 & member(v9, v3) = 0 & $i(v9))) & % 21.60/3.71 (v8 = 0 | ! [v9: $i] : ( ~ (apply(v0, v9, v6) = 0) | ~ $i(v9) | ? [v10: % 21.60/3.71 any] : ? [v11: any] : (apply(v1, v5, v9) = v11 & member(v9, v3) = % 21.60/3.71 v10 & ( ~ (v11 = 0) | ~ (v10 = 0))))))) % 21.60/3.71 % 21.60/3.71 (decreasing_function) % 21.86/3.71 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: % 21.86/3.71 int] : (v5 = 0 | ~ (decreasing(v0, v1, v2, v3, v4) = v5) | ~ $i(v4) | ~ % 21.86/3.71 $i(v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v6: $i] : ? [v7: $i] : ? % 21.86/3.71 [v8: $i] : ? [v9: $i] : ? [v10: int] : ( ~ (v10 = 0) & apply(v4, v9, v7) = % 21.86/3.71 v10 & apply(v2, v6, v8) = 0 & apply(v0, v8, v9) = 0 & apply(v0, v6, v7) = % 21.86/3.71 0 & member(v9, v3) = 0 & member(v8, v1) = 0 & member(v7, v3) = 0 & % 21.86/3.71 member(v6, v1) = 0 & $i(v9) & $i(v8) & $i(v7) & $i(v6))) & ! [v0: $i] : % 21.86/3.71 ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ( ~ (decreasing(v0, v1, % 21.86/3.71 v2, v3, v4) = 0) | ~ $i(v4) | ~ $i(v3) | ~ $i(v2) | ~ $i(v1) | ~ % 21.86/3.71 $i(v0) | ! [v5: $i] : ! [v6: $i] : ! [v7: $i] : ! [v8: $i] : ( ~ % 21.86/3.71 (apply(v0, v7, v8) = 0) | ~ (apply(v0, v5, v6) = 0) | ~ $i(v8) | ~ % 21.86/3.71 $i(v7) | ~ $i(v6) | ~ $i(v5) | ? [v9: any] : ? [v10: any] : ? [v11: % 21.86/3.71 any] : ? [v12: any] : ? [v13: any] : ? [v14: any] : (apply(v4, v8, % 21.86/3.71 v6) = v14 & apply(v2, v5, v7) = v13 & member(v8, v3) = v12 & % 21.86/3.71 member(v7, v1) = v11 & member(v6, v3) = v10 & member(v5, v1) = v9 & ( ~ % 21.86/3.71 (v13 = 0) | ~ (v12 = 0) | ~ (v11 = 0) | ~ (v10 = 0) | ~ (v9 = 0) | % 21.86/3.72 v14 = 0)))) % 21.86/3.72 % 21.86/3.72 (increasing_function) % 21.86/3.72 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: % 21.86/3.72 int] : (v5 = 0 | ~ (increasing(v0, v1, v2, v3, v4) = v5) | ~ $i(v4) | ~ % 21.86/3.72 $i(v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v6: $i] : ? [v7: $i] : ? % 21.86/3.72 [v8: $i] : ? [v9: $i] : ? [v10: int] : ( ~ (v10 = 0) & apply(v4, v7, v9) = % 21.86/3.72 v10 & apply(v2, v6, v8) = 0 & apply(v0, v8, v9) = 0 & apply(v0, v6, v7) = % 21.86/3.72 0 & member(v9, v3) = 0 & member(v8, v1) = 0 & member(v7, v3) = 0 & % 21.86/3.72 member(v6, v1) = 0 & $i(v9) & $i(v8) & $i(v7) & $i(v6))) & ! [v0: $i] : % 21.86/3.72 ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ( ~ (increasing(v0, v1, % 21.86/3.72 v2, v3, v4) = 0) | ~ $i(v4) | ~ $i(v3) | ~ $i(v2) | ~ $i(v1) | ~ % 21.86/3.72 $i(v0) | ! [v5: $i] : ! [v6: $i] : ! [v7: $i] : ! [v8: $i] : ( ~ % 21.86/3.72 (apply(v0, v7, v8) = 0) | ~ (apply(v0, v5, v6) = 0) | ~ $i(v8) | ~ % 21.86/3.72 $i(v7) | ~ $i(v6) | ~ $i(v5) | ? [v9: any] : ? [v10: any] : ? [v11: % 21.86/3.72 any] : ? [v12: any] : ? [v13: any] : ? [v14: any] : (apply(v4, v6, % 21.86/3.72 v8) = v14 & apply(v2, v5, v7) = v13 & member(v8, v3) = v12 & % 21.86/3.72 member(v7, v1) = v11 & member(v6, v3) = v10 & member(v5, v1) = v9 & ( ~ % 21.86/3.72 (v13 = 0) | ~ (v12 = 0) | ~ (v11 = 0) | ~ (v10 = 0) | ~ (v9 = 0) | % 21.86/3.72 v14 = 0)))) % 21.86/3.72 % 21.86/3.72 (maps) % 21.86/3.72 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: int] : (v3 = 0 | ~ % 21.86/3.72 (maps(v0, v1, v2) = v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v4: $i] : % 21.86/3.72 ? [v5: $i] : ? [v6: $i] : ( ~ (v6 = v5) & apply(v0, v4, v6) = 0 & apply(v0, % 21.86/3.72 v4, v5) = 0 & member(v6, v2) = 0 & member(v5, v2) = 0 & member(v4, v1) = % 21.86/3.72 0 & $i(v6) & $i(v5) & $i(v4)) | ? [v4: $i] : (member(v4, v1) = 0 & $i(v4) % 21.86/3.72 & ! [v5: $i] : ( ~ (apply(v0, v4, v5) = 0) | ~ $i(v5) | ? [v6: int] : ( % 21.86/3.72 ~ (v6 = 0) & member(v5, v2) = v6)))) & ! [v0: $i] : ! [v1: $i] : ! % 21.86/3.72 [v2: $i] : ( ~ (maps(v0, v1, v2) = 0) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ( % 21.86/3.72 ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : (v5 = v4 | ~ (apply(v0, v3, v5) % 21.86/3.72 = 0) | ~ (apply(v0, v3, v4) = 0) | ~ $i(v5) | ~ $i(v4) | ~ $i(v3) % 21.86/3.72 | ? [v6: any] : ? [v7: any] : ? [v8: any] : (member(v5, v2) = v8 & % 21.86/3.72 member(v4, v2) = v7 & member(v3, v1) = v6 & ( ~ (v8 = 0) | ~ (v7 = 0) % 21.86/3.72 | ~ (v6 = 0)))) & ! [v3: $i] : ( ~ (member(v3, v1) = 0) | ~ % 21.86/3.72 $i(v3) | ? [v4: $i] : (apply(v0, v3, v4) = 0 & member(v4, v2) = 0 & % 21.86/3.72 $i(v4))))) % 21.86/3.72 % 21.86/3.72 (thII38) % 21.86/3.73 ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] : ? [v5: % 21.86/3.73 $i] : ? [v6: $i] : ? [v7: $i] : ? [v8: $i] : ? [v9: int] : ( ~ (v9 = 0) % 21.86/3.73 & decreasing(v8, v2, v5, v4, v7) = v9 & decreasing(v1, v3, v6, v4, v7) = 0 & % 21.86/3.73 increasing(v0, v2, v5, v3, v6) = 0 & compose_function(v1, v0, v2, v3, v4) = % 21.86/3.73 v8 & maps(v1, v3, v4) = 0 & maps(v0, v2, v3) = 0 & $i(v8) & $i(v7) & $i(v6) % 21.86/3.73 & $i(v5) & $i(v4) & $i(v3) & $i(v2) & $i(v1) & $i(v0)) % 21.86/3.73 % 21.86/3.73 (function-axioms) % 21.86/3.73 ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : ! % 21.86/3.73 [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : ! [v7: $i] : (v1 = v0 | % 21.86/3.73 ~ (compose_predicate(v7, v6, v5, v4, v3, v2) = v1) | ~ % 21.86/3.73 (compose_predicate(v7, v6, v5, v4, v3, v2) = v0)) & ! [v0: % 21.86/3.73 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : ! [v3: $i] % 21.86/3.73 : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : (v1 = v0 | ~ (isomorphism(v6, v5, % 21.86/3.73 v4, v3, v2) = v1) | ~ (isomorphism(v6, v5, v4, v3, v2) = v0)) & ! [v0: % 21.86/3.73 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : ! [v3: $i] % 21.86/3.73 : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : (v1 = v0 | ~ (decreasing(v6, v5, % 21.86/3.73 v4, v3, v2) = v1) | ~ (decreasing(v6, v5, v4, v3, v2) = v0)) & ! [v0: % 21.86/3.73 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : ! [v3: $i] % 21.86/3.73 : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : (v1 = v0 | ~ (increasing(v6, v5, % 21.86/3.73 v4, v3, v2) = v1) | ~ (increasing(v6, v5, v4, v3, v2) = v0)) & ! [v0: % 21.86/3.73 $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : % 21.86/3.73 ! [v6: $i] : (v1 = v0 | ~ (compose_function(v6, v5, v4, v3, v2) = v1) | ~ % 21.86/3.73 (compose_function(v6, v5, v4, v3, v2) = v0)) & ! [v0: MultipleValueBool] : % 21.86/3.73 ! [v1: MultipleValueBool] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: % 21.86/3.74 $i] : (v1 = v0 | ~ (inverse_predicate(v5, v4, v3, v2) = v1) | ~ % 21.86/3.74 (inverse_predicate(v5, v4, v3, v2) = v0)) & ! [v0: MultipleValueBool] : ! % 21.86/3.74 [v1: MultipleValueBool] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: % 21.86/3.74 $i] : (v1 = v0 | ~ (equal_maps(v5, v4, v3, v2) = v1) | ~ (equal_maps(v5, % 21.86/3.74 v4, v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: % 21.86/3.74 $i] : ! [v4: $i] : (v1 = v0 | ~ (inverse_image3(v4, v3, v2) = v1) | ~ % 21.86/3.74 (inverse_image3(v4, v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] % 21.86/3.74 : ! [v3: $i] : ! [v4: $i] : (v1 = v0 | ~ (image3(v4, v3, v2) = v1) | ~ % 21.86/3.74 (image3(v4, v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! % 21.86/3.74 [v3: $i] : ! [v4: $i] : (v1 = v0 | ~ (inverse_function(v4, v3, v2) = v1) | % 21.86/3.74 ~ (inverse_function(v4, v3, v2) = v0)) & ! [v0: MultipleValueBool] : ! % 21.86/3.74 [v1: MultipleValueBool] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : (v1 = v0 | % 21.86/3.74 ~ (one_to_one(v4, v3, v2) = v1) | ~ (one_to_one(v4, v3, v2) = v0)) & ! % 21.86/3.74 [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : ! [v3: % 21.86/3.74 $i] : ! [v4: $i] : (v1 = v0 | ~ (surjective(v4, v3, v2) = v1) | ~ % 21.86/3.74 (surjective(v4, v3, v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1: % 21.86/3.74 MultipleValueBool] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : (v1 = v0 | ~ % 21.86/3.74 (injective(v4, v3, v2) = v1) | ~ (injective(v4, v3, v2) = v0)) & ! [v0: % 21.86/3.74 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : ! [v3: $i] % 21.86/3.74 : ! [v4: $i] : (v1 = v0 | ~ (maps(v4, v3, v2) = v1) | ~ (maps(v4, v3, v2) = % 21.86/3.74 v0)) & ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: % 21.86/3.74 $i] : ! [v3: $i] : ! [v4: $i] : (v1 = v0 | ~ (apply(v4, v3, v2) = v1) | % 21.86/3.74 ~ (apply(v4, v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! % 21.86/3.74 [v3: $i] : (v1 = v0 | ~ (inverse_image2(v3, v2) = v1) | ~ % 21.86/3.74 (inverse_image2(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : % 21.86/3.74 ! [v3: $i] : (v1 = v0 | ~ (image2(v3, v2) = v1) | ~ (image2(v3, v2) = v0)) & % 21.86/3.74 ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : ! % 21.86/3.74 [v3: $i] : (v1 = v0 | ~ (identity(v3, v2) = v1) | ~ (identity(v3, v2) = v0)) % 21.86/3.74 & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 21.86/3.74 (unordered_pair(v3, v2) = v1) | ~ (unordered_pair(v3, v2) = v0)) & ! [v0: % 21.86/3.74 $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 21.86/3.74 (difference(v3, v2) = v1) | ~ (difference(v3, v2) = v0)) & ! [v0: $i] : ! % 21.86/3.74 [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ (union(v3, v2) = v1) | ~ % 21.86/3.74 (union(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: % 21.86/3.74 $i] : (v1 = v0 | ~ (intersection(v3, v2) = v1) | ~ (intersection(v3, v2) = % 21.86/3.74 v0)) & ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: % 21.86/3.74 $i] : ! [v3: $i] : (v1 = v0 | ~ (equal_set(v3, v2) = v1) | ~ % 21.86/3.74 (equal_set(v3, v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1: % 21.86/3.74 MultipleValueBool] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ (subset(v3, % 21.86/3.74 v2) = v1) | ~ (subset(v3, v2) = v0)) & ! [v0: MultipleValueBool] : ! % 21.86/3.74 [v1: MultipleValueBool] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 21.86/3.74 (member(v3, v2) = v1) | ~ (member(v3, v2) = v0)) & ! [v0: $i] : ! [v1: % 21.86/3.74 $i] : ! [v2: $i] : (v1 = v0 | ~ (product(v2) = v1) | ~ (product(v2) = % 21.86/3.74 v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (sum(v2) = % 21.86/3.74 v1) | ~ (sum(v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = % 21.86/3.74 v0 | ~ (singleton(v2) = v1) | ~ (singleton(v2) = v0)) & ! [v0: $i] : ! % 21.86/3.74 [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (power_set(v2) = v1) | ~ % 21.86/3.74 (power_set(v2) = v0)) % 21.86/3.74 % 21.86/3.74 Further assumptions not needed in the proof: % 21.86/3.74 -------------------------------------------- % 21.86/3.74 compose_predicate, difference, empty_set, equal_maps, equal_set, identity, % 21.86/3.74 image2, image3, injective, intersection, inverse_function, inverse_image2, % 21.86/3.74 inverse_image3, inverse_predicate, isomorphism, one_to_one, power_set, product, % 21.86/3.74 singleton, subset, sum, surjective, union, unordered_pair % 21.86/3.74 % 21.86/3.74 Those formulas are unsatisfiable: % 21.86/3.74 --------------------------------- % 21.86/3.74 % 21.86/3.74 Begin of proof % 21.86/3.74 | % 21.86/3.74 | ALPHA: (maps) implies: % 21.86/3.74 | (1) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ (maps(v0, v1, v2) = 0) | % 21.86/3.74 | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ( ! [v3: $i] : ! [v4: $i] : ! % 21.86/3.74 | [v5: $i] : (v5 = v4 | ~ (apply(v0, v3, v5) = 0) | ~ (apply(v0, % 21.86/3.74 | v3, v4) = 0) | ~ $i(v5) | ~ $i(v4) | ~ $i(v3) | ? [v6: % 21.86/3.74 | any] : ? [v7: any] : ? [v8: any] : (member(v5, v2) = v8 & % 21.86/3.74 | member(v4, v2) = v7 & member(v3, v1) = v6 & ( ~ (v8 = 0) | ~ % 21.86/3.74 | (v7 = 0) | ~ (v6 = 0)))) & ! [v3: $i] : ( ~ (member(v3, v1) % 21.86/3.74 | = 0) | ~ $i(v3) | ? [v4: $i] : (apply(v0, v3, v4) = 0 & % 21.86/3.74 | member(v4, v2) = 0 & $i(v4))))) % 21.86/3.74 | % 21.86/3.74 | ALPHA: (increasing_function) implies: % 21.86/3.74 | (2) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ( % 21.86/3.74 | ~ (increasing(v0, v1, v2, v3, v4) = 0) | ~ $i(v4) | ~ $i(v3) | ~ % 21.86/3.74 | $i(v2) | ~ $i(v1) | ~ $i(v0) | ! [v5: $i] : ! [v6: $i] : ! [v7: % 21.86/3.74 | $i] : ! [v8: $i] : ( ~ (apply(v0, v7, v8) = 0) | ~ (apply(v0, v5, % 21.86/3.74 | v6) = 0) | ~ $i(v8) | ~ $i(v7) | ~ $i(v6) | ~ $i(v5) | ? % 21.86/3.74 | [v9: any] : ? [v10: any] : ? [v11: any] : ? [v12: any] : ? % 21.86/3.74 | [v13: any] : ? [v14: any] : (apply(v4, v6, v8) = v14 & apply(v2, % 21.86/3.74 | v5, v7) = v13 & member(v8, v3) = v12 & member(v7, v1) = v11 & % 21.86/3.74 | member(v6, v3) = v10 & member(v5, v1) = v9 & ( ~ (v13 = 0) | ~ % 21.86/3.74 | (v12 = 0) | ~ (v11 = 0) | ~ (v10 = 0) | ~ (v9 = 0) | v14 = % 21.86/3.74 | 0)))) % 21.86/3.74 | % 21.86/3.74 | ALPHA: (decreasing_function) implies: % 21.86/3.75 | (3) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ( % 21.86/3.75 | ~ (decreasing(v0, v1, v2, v3, v4) = 0) | ~ $i(v4) | ~ $i(v3) | ~ % 21.86/3.75 | $i(v2) | ~ $i(v1) | ~ $i(v0) | ! [v5: $i] : ! [v6: $i] : ! [v7: % 21.86/3.75 | $i] : ! [v8: $i] : ( ~ (apply(v0, v7, v8) = 0) | ~ (apply(v0, v5, % 21.86/3.75 | v6) = 0) | ~ $i(v8) | ~ $i(v7) | ~ $i(v6) | ~ $i(v5) | ? % 21.86/3.75 | [v9: any] : ? [v10: any] : ? [v11: any] : ? [v12: any] : ? % 21.86/3.75 | [v13: any] : ? [v14: any] : (apply(v4, v8, v6) = v14 & apply(v2, % 21.86/3.75 | v5, v7) = v13 & member(v8, v3) = v12 & member(v7, v1) = v11 & % 21.86/3.75 | member(v6, v3) = v10 & member(v5, v1) = v9 & ( ~ (v13 = 0) | ~ % 21.86/3.75 | (v12 = 0) | ~ (v11 = 0) | ~ (v10 = 0) | ~ (v9 = 0) | v14 = % 21.86/3.75 | 0)))) % 21.86/3.75 | (4) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : % 21.86/3.75 | ! [v5: int] : (v5 = 0 | ~ (decreasing(v0, v1, v2, v3, v4) = v5) | ~ % 21.86/3.75 | $i(v4) | ~ $i(v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v6: $i] % 21.86/3.75 | : ? [v7: $i] : ? [v8: $i] : ? [v9: $i] : ? [v10: int] : ( ~ (v10 % 21.86/3.75 | = 0) & apply(v4, v9, v7) = v10 & apply(v2, v6, v8) = 0 & % 21.86/3.75 | apply(v0, v8, v9) = 0 & apply(v0, v6, v7) = 0 & member(v9, v3) = 0 % 21.86/3.75 | & member(v8, v1) = 0 & member(v7, v3) = 0 & member(v6, v1) = 0 & % 21.86/3.75 | $i(v9) & $i(v8) & $i(v7) & $i(v6))) % 21.86/3.75 | % 21.86/3.75 | ALPHA: (function-axioms) implies: % 21.86/3.75 | (5) ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : % 21.86/3.75 | ! [v3: $i] : (v1 = v0 | ~ (member(v3, v2) = v1) | ~ (member(v3, v2) % 21.86/3.75 | = v0)) % 21.86/3.75 | (6) ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : % 21.86/3.75 | ! [v3: $i] : ! [v4: $i] : (v1 = v0 | ~ (apply(v4, v3, v2) = v1) | ~ % 21.86/3.75 | (apply(v4, v3, v2) = v0)) % 21.86/3.75 | % 21.86/3.75 | DELTA: instantiating (thII38) with fresh symbols all_32_0, all_32_1, all_32_2, % 21.86/3.75 | all_32_3, all_32_4, all_32_5, all_32_6, all_32_7, all_32_8, all_32_9 % 21.86/3.75 | gives: % 21.86/3.75 | (7) ~ (all_32_0 = 0) & decreasing(all_32_1, all_32_7, all_32_4, all_32_5, % 21.86/3.75 | all_32_2) = all_32_0 & decreasing(all_32_8, all_32_6, all_32_3, % 21.86/3.75 | all_32_5, all_32_2) = 0 & increasing(all_32_9, all_32_7, all_32_4, % 21.86/3.75 | all_32_6, all_32_3) = 0 & compose_function(all_32_8, all_32_9, % 21.86/3.75 | all_32_7, all_32_6, all_32_5) = all_32_1 & maps(all_32_8, all_32_6, % 21.86/3.75 | all_32_5) = 0 & maps(all_32_9, all_32_7, all_32_6) = 0 & $i(all_32_1) % 21.86/3.75 | & $i(all_32_2) & $i(all_32_3) & $i(all_32_4) & $i(all_32_5) & % 21.86/3.75 | $i(all_32_6) & $i(all_32_7) & $i(all_32_8) & $i(all_32_9) % 21.86/3.75 | % 21.86/3.75 | ALPHA: (7) implies: % 21.86/3.75 | (8) ~ (all_32_0 = 0) % 21.86/3.75 | (9) $i(all_32_9) % 21.86/3.75 | (10) $i(all_32_8) % 21.86/3.75 | (11) $i(all_32_7) % 21.86/3.75 | (12) $i(all_32_6) % 21.86/3.75 | (13) $i(all_32_5) % 21.86/3.75 | (14) $i(all_32_4) % 21.86/3.75 | (15) $i(all_32_3) % 21.86/3.75 | (16) $i(all_32_2) % 21.86/3.75 | (17) $i(all_32_1) % 21.86/3.75 | (18) maps(all_32_9, all_32_7, all_32_6) = 0 % 21.86/3.75 | (19) compose_function(all_32_8, all_32_9, all_32_7, all_32_6, all_32_5) = % 21.86/3.75 | all_32_1 % 21.86/3.75 | (20) increasing(all_32_9, all_32_7, all_32_4, all_32_6, all_32_3) = 0 % 21.86/3.75 | (21) decreasing(all_32_8, all_32_6, all_32_3, all_32_5, all_32_2) = 0 % 21.86/3.75 | (22) decreasing(all_32_1, all_32_7, all_32_4, all_32_5, all_32_2) = % 21.86/3.75 | all_32_0 % 21.86/3.75 | % 21.86/3.76 | GROUND_INST: instantiating (1) with all_32_9, all_32_7, all_32_6, simplifying % 21.86/3.76 | with (9), (11), (12), (18) gives: % 21.86/3.76 | (23) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v2 = v1 | ~ % 21.86/3.76 | (apply(all_32_9, v0, v2) = 0) | ~ (apply(all_32_9, v0, v1) = 0) | % 21.86/3.76 | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v3: any] : ? [v4: any] : ? % 22.08/3.76 | [v5: any] : (member(v2, all_32_6) = v5 & member(v1, all_32_6) = v4 & % 22.08/3.76 | member(v0, all_32_7) = v3 & ( ~ (v5 = 0) | ~ (v4 = 0) | ~ (v3 = % 22.08/3.76 | 0)))) & ! [v0: $i] : ( ~ (member(v0, all_32_7) = 0) | ~ % 22.08/3.76 | $i(v0) | ? [v1: $i] : (apply(all_32_9, v0, v1) = 0 & member(v1, % 22.08/3.76 | all_32_6) = 0 & $i(v1))) % 22.08/3.76 | % 22.08/3.76 | ALPHA: (23) implies: % 22.08/3.76 | (24) ! [v0: $i] : ( ~ (member(v0, all_32_7) = 0) | ~ $i(v0) | ? [v1: $i] % 22.08/3.76 | : (apply(all_32_9, v0, v1) = 0 & member(v1, all_32_6) = 0 & $i(v1))) % 22.08/3.76 | % 22.08/3.76 | GROUND_INST: instantiating (2) with all_32_9, all_32_7, all_32_4, all_32_6, % 22.08/3.76 | all_32_3, simplifying with (9), (11), (12), (14), (15), (20) % 22.08/3.76 | gives: % 22.08/3.76 | (25) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~ % 22.08/3.76 | (apply(all_32_9, v2, v3) = 0) | ~ (apply(all_32_9, v0, v1) = 0) | % 22.08/3.76 | ~ $i(v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v4: any] : ? % 22.08/3.76 | [v5: any] : ? [v6: any] : ? [v7: any] : ? [v8: any] : ? [v9: % 22.08/3.76 | any] : (apply(all_32_3, v1, v3) = v9 & apply(all_32_4, v0, v2) = % 22.08/3.76 | v8 & member(v3, all_32_6) = v7 & member(v2, all_32_7) = v6 & % 22.08/3.76 | member(v1, all_32_6) = v5 & member(v0, all_32_7) = v4 & ( ~ (v8 = % 22.08/3.76 | 0) | ~ (v7 = 0) | ~ (v6 = 0) | ~ (v5 = 0) | ~ (v4 = 0) | % 22.08/3.76 | v9 = 0))) % 22.08/3.76 | % 22.08/3.76 | GROUND_INST: instantiating (3) with all_32_8, all_32_6, all_32_3, all_32_5, % 22.08/3.76 | all_32_2, simplifying with (10), (12), (13), (15), (16), (21) % 22.08/3.76 | gives: % 22.08/3.76 | (26) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~ % 22.08/3.76 | (apply(all_32_8, v2, v3) = 0) | ~ (apply(all_32_8, v0, v1) = 0) | % 22.08/3.76 | ~ $i(v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v4: any] : ? % 22.08/3.76 | [v5: any] : ? [v6: any] : ? [v7: any] : ? [v8: any] : ? [v9: % 22.08/3.76 | any] : (apply(all_32_2, v3, v1) = v9 & apply(all_32_3, v0, v2) = % 22.08/3.76 | v8 & member(v3, all_32_5) = v7 & member(v2, all_32_6) = v6 & % 22.08/3.76 | member(v1, all_32_5) = v5 & member(v0, all_32_6) = v4 & ( ~ (v8 = % 22.08/3.76 | 0) | ~ (v7 = 0) | ~ (v6 = 0) | ~ (v5 = 0) | ~ (v4 = 0) | % 22.08/3.76 | v9 = 0))) % 22.08/3.76 | % 22.08/3.76 | GROUND_INST: instantiating (4) with all_32_1, all_32_7, all_32_4, all_32_5, % 22.08/3.76 | all_32_2, all_32_0, simplifying with (11), (13), (14), (16), % 22.08/3.76 | (17), (22) gives: % 22.08/3.76 | (27) all_32_0 = 0 | ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : % 22.08/3.76 | ? [v4: int] : ( ~ (v4 = 0) & apply(all_32_1, v2, v3) = 0 & % 22.08/3.76 | apply(all_32_1, v0, v1) = 0 & apply(all_32_2, v3, v1) = v4 & % 22.08/3.76 | apply(all_32_4, v0, v2) = 0 & member(v3, all_32_5) = 0 & member(v2, % 22.08/3.76 | all_32_7) = 0 & member(v1, all_32_5) = 0 & member(v0, all_32_7) = % 22.08/3.76 | 0 & $i(v3) & $i(v2) & $i(v1) & $i(v0)) % 22.08/3.76 | % 22.08/3.76 | BETA: splitting (27) gives: % 22.08/3.76 | % 22.08/3.77 | Case 1: % 22.08/3.77 | | % 22.08/3.77 | | (28) all_32_0 = 0 % 22.08/3.77 | | % 22.08/3.77 | | REDUCE: (8), (28) imply: % 22.08/3.77 | | (29) $false % 22.08/3.77 | | % 22.08/3.77 | | CLOSE: (29) is inconsistent. % 22.08/3.77 | | % 22.08/3.77 | Case 2: % 22.08/3.77 | | % 22.08/3.77 | | (30) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: int] % 22.08/3.77 | | : ( ~ (v4 = 0) & apply(all_32_1, v2, v3) = 0 & apply(all_32_1, v0, % 22.08/3.77 | | v1) = 0 & apply(all_32_2, v3, v1) = v4 & apply(all_32_4, v0, v2) % 22.08/3.77 | | = 0 & member(v3, all_32_5) = 0 & member(v2, all_32_7) = 0 & % 22.08/3.77 | | member(v1, all_32_5) = 0 & member(v0, all_32_7) = 0 & $i(v3) & % 22.08/3.77 | | $i(v2) & $i(v1) & $i(v0)) % 22.08/3.77 | | % 22.08/3.77 | | DELTA: instantiating (30) with fresh symbols all_46_0, all_46_1, all_46_2, % 22.08/3.77 | | all_46_3, all_46_4 gives: % 22.08/3.77 | | (31) ~ (all_46_0 = 0) & apply(all_32_1, all_46_2, all_46_1) = 0 & % 22.08/3.77 | | apply(all_32_1, all_46_4, all_46_3) = 0 & apply(all_32_2, all_46_1, % 22.08/3.77 | | all_46_3) = all_46_0 & apply(all_32_4, all_46_4, all_46_2) = 0 & % 22.08/3.77 | | member(all_46_1, all_32_5) = 0 & member(all_46_2, all_32_7) = 0 & % 22.08/3.77 | | member(all_46_3, all_32_5) = 0 & member(all_46_4, all_32_7) = 0 & % 22.08/3.77 | | $i(all_46_1) & $i(all_46_2) & $i(all_46_3) & $i(all_46_4) % 22.08/3.77 | | % 22.08/3.77 | | ALPHA: (31) implies: % 22.08/3.77 | | (32) ~ (all_46_0 = 0) % 22.08/3.77 | | (33) $i(all_46_4) % 22.08/3.77 | | (34) $i(all_46_3) % 22.08/3.77 | | (35) $i(all_46_2) % 22.08/3.77 | | (36) $i(all_46_1) % 22.08/3.77 | | (37) member(all_46_4, all_32_7) = 0 % 22.08/3.77 | | (38) member(all_46_3, all_32_5) = 0 % 22.08/3.77 | | (39) member(all_46_2, all_32_7) = 0 % 22.08/3.77 | | (40) member(all_46_1, all_32_5) = 0 % 22.08/3.77 | | (41) apply(all_32_4, all_46_4, all_46_2) = 0 % 22.08/3.77 | | (42) apply(all_32_2, all_46_1, all_46_3) = all_46_0 % 22.08/3.77 | | (43) apply(all_32_1, all_46_4, all_46_3) = 0 % 22.08/3.77 | | (44) apply(all_32_1, all_46_2, all_46_1) = 0 % 22.08/3.77 | | % 22.08/3.77 | | GROUND_INST: instantiating (24) with all_46_4, simplifying with (33), (37) % 22.08/3.77 | | gives: % 22.08/3.77 | | (45) ? [v0: $i] : (apply(all_32_9, all_46_4, v0) = 0 & member(v0, % 22.08/3.77 | | all_32_6) = 0 & $i(v0)) % 22.08/3.77 | | % 22.08/3.77 | | GROUND_INST: instantiating (24) with all_46_2, simplifying with (35), (39) % 22.08/3.77 | | gives: % 22.08/3.77 | | (46) ? [v0: $i] : (apply(all_32_9, all_46_2, v0) = 0 & member(v0, % 22.08/3.77 | | all_32_6) = 0 & $i(v0)) % 22.08/3.77 | | % 22.08/3.77 | | GROUND_INST: instantiating (compose_function) with all_32_8, all_32_9, % 22.08/3.77 | | all_32_7, all_32_6, all_32_5, all_46_4, all_46_3, all_32_1, 0, % 22.08/3.77 | | simplifying with (9), (10), (11), (12), (13), (19), (33), (34), % 22.08/3.77 | | (43) gives: % 22.08/3.77 | | (47) ? [v0: any] : ? [v1: any] : (member(all_46_3, all_32_5) = v1 & % 22.08/3.77 | | member(all_46_4, all_32_7) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0))) | % 22.08/3.77 | | ? [v0: $i] : (apply(all_32_8, v0, all_46_3) = 0 & apply(all_32_9, % 22.08/3.77 | | all_46_4, v0) = 0 & member(v0, all_32_6) = 0 & $i(v0)) % 22.08/3.77 | | % 22.08/3.78 | | GROUND_INST: instantiating (compose_function) with all_32_8, all_32_9, % 22.08/3.78 | | all_32_7, all_32_6, all_32_5, all_46_2, all_46_1, all_32_1, 0, % 22.08/3.78 | | simplifying with (9), (10), (11), (12), (13), (19), (35), (36), % 22.08/3.78 | | (44) gives: % 22.08/3.78 | | (48) ? [v0: any] : ? [v1: any] : (member(all_46_1, all_32_5) = v1 & % 22.08/3.78 | | member(all_46_2, all_32_7) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0))) | % 22.08/3.78 | | ? [v0: $i] : (apply(all_32_8, v0, all_46_1) = 0 & apply(all_32_9, % 22.08/3.78 | | all_46_2, v0) = 0 & member(v0, all_32_6) = 0 & $i(v0)) % 22.08/3.78 | | % 22.08/3.78 | | DELTA: instantiating (46) with fresh symbol all_53_0 gives: % 22.08/3.78 | | (49) apply(all_32_9, all_46_2, all_53_0) = 0 & member(all_53_0, all_32_6) % 22.08/3.78 | | = 0 & $i(all_53_0) % 22.08/3.78 | | % 22.08/3.78 | | ALPHA: (49) implies: % 22.08/3.78 | | (50) $i(all_53_0) % 22.08/3.78 | | (51) apply(all_32_9, all_46_2, all_53_0) = 0 % 22.08/3.78 | | % 22.08/3.78 | | DELTA: instantiating (45) with fresh symbol all_55_0 gives: % 22.08/3.78 | | (52) apply(all_32_9, all_46_4, all_55_0) = 0 & member(all_55_0, all_32_6) % 22.08/3.78 | | = 0 & $i(all_55_0) % 22.08/3.78 | | % 22.08/3.78 | | ALPHA: (52) implies: % 22.08/3.78 | | (53) $i(all_55_0) % 22.08/3.78 | | (54) apply(all_32_9, all_46_4, all_55_0) = 0 % 22.08/3.78 | | % 22.08/3.78 | | BETA: splitting (48) gives: % 22.08/3.78 | | % 22.08/3.78 | | Case 1: % 22.08/3.78 | | | % 22.08/3.78 | | | (55) ? [v0: any] : ? [v1: any] : (member(all_46_1, all_32_5) = v1 & % 22.08/3.78 | | | member(all_46_2, all_32_7) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0))) % 22.08/3.78 | | | % 22.08/3.78 | | | DELTA: instantiating (55) with fresh symbols all_60_0, all_60_1 gives: % 22.08/3.78 | | | (56) member(all_46_1, all_32_5) = all_60_0 & member(all_46_2, all_32_7) % 22.08/3.78 | | | = all_60_1 & ( ~ (all_60_0 = 0) | ~ (all_60_1 = 0)) % 22.08/3.78 | | | % 22.08/3.78 | | | ALPHA: (56) implies: % 22.08/3.78 | | | (57) member(all_46_2, all_32_7) = all_60_1 % 22.08/3.78 | | | (58) member(all_46_1, all_32_5) = all_60_0 % 22.08/3.78 | | | (59) ~ (all_60_0 = 0) | ~ (all_60_1 = 0) % 22.08/3.78 | | | % 22.08/3.78 | | | GROUND_INST: instantiating (5) with 0, all_60_1, all_32_7, all_46_2, % 22.08/3.78 | | | simplifying with (39), (57) gives: % 22.08/3.78 | | | (60) all_60_1 = 0 % 22.08/3.78 | | | % 22.08/3.78 | | | GROUND_INST: instantiating (5) with 0, all_60_0, all_32_5, all_46_1, % 22.08/3.78 | | | simplifying with (40), (58) gives: % 22.08/3.78 | | | (61) all_60_0 = 0 % 22.08/3.78 | | | % 22.08/3.78 | | | BETA: splitting (59) gives: % 22.08/3.78 | | | % 22.08/3.78 | | | Case 1: % 22.08/3.78 | | | | % 22.08/3.78 | | | | (62) ~ (all_60_0 = 0) % 22.08/3.78 | | | | % 22.08/3.78 | | | | REDUCE: (61), (62) imply: % 22.08/3.78 | | | | (63) $false % 22.08/3.78 | | | | % 22.08/3.78 | | | | CLOSE: (63) is inconsistent. % 22.08/3.78 | | | | % 22.08/3.78 | | | Case 2: % 22.08/3.78 | | | | % 22.08/3.78 | | | | (64) ~ (all_60_1 = 0) % 22.08/3.78 | | | | % 22.08/3.78 | | | | REDUCE: (60), (64) imply: % 22.08/3.78 | | | | (65) $false % 22.08/3.78 | | | | % 22.08/3.78 | | | | CLOSE: (65) is inconsistent. % 22.08/3.78 | | | | % 22.08/3.78 | | | End of split % 22.08/3.78 | | | % 22.08/3.78 | | Case 2: % 22.08/3.78 | | | % 22.08/3.78 | | | (66) ? [v0: $i] : (apply(all_32_8, v0, all_46_1) = 0 & apply(all_32_9, % 22.08/3.78 | | | all_46_2, v0) = 0 & member(v0, all_32_6) = 0 & $i(v0)) % 22.08/3.78 | | | % 22.08/3.78 | | | DELTA: instantiating (66) with fresh symbol all_60_0 gives: % 22.08/3.78 | | | (67) apply(all_32_8, all_60_0, all_46_1) = 0 & apply(all_32_9, % 22.08/3.78 | | | all_46_2, all_60_0) = 0 & member(all_60_0, all_32_6) = 0 & % 22.08/3.78 | | | $i(all_60_0) % 22.08/3.78 | | | % 22.08/3.78 | | | ALPHA: (67) implies: % 22.08/3.78 | | | (68) $i(all_60_0) % 22.08/3.78 | | | (69) member(all_60_0, all_32_6) = 0 % 22.08/3.78 | | | (70) apply(all_32_9, all_46_2, all_60_0) = 0 % 22.08/3.78 | | | (71) apply(all_32_8, all_60_0, all_46_1) = 0 % 22.08/3.78 | | | % 22.08/3.78 | | | BETA: splitting (47) gives: % 22.08/3.78 | | | % 22.08/3.78 | | | Case 1: % 22.08/3.78 | | | | % 22.08/3.78 | | | | (72) ? [v0: any] : ? [v1: any] : (member(all_46_3, all_32_5) = v1 & % 22.08/3.78 | | | | member(all_46_4, all_32_7) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0))) % 22.08/3.78 | | | | % 22.08/3.78 | | | | DELTA: instantiating (72) with fresh symbols all_64_0, all_64_1 gives: % 22.08/3.78 | | | | (73) member(all_46_3, all_32_5) = all_64_0 & member(all_46_4, % 22.08/3.78 | | | | all_32_7) = all_64_1 & ( ~ (all_64_0 = 0) | ~ (all_64_1 = 0)) % 22.08/3.78 | | | | % 22.08/3.78 | | | | ALPHA: (73) implies: % 22.08/3.78 | | | | (74) member(all_46_4, all_32_7) = all_64_1 % 22.08/3.79 | | | | (75) member(all_46_3, all_32_5) = all_64_0 % 22.08/3.79 | | | | (76) ~ (all_64_0 = 0) | ~ (all_64_1 = 0) % 22.08/3.79 | | | | % 22.08/3.79 | | | | GROUND_INST: instantiating (5) with 0, all_64_1, all_32_7, all_46_4, % 22.08/3.79 | | | | simplifying with (37), (74) gives: % 22.08/3.79 | | | | (77) all_64_1 = 0 % 22.08/3.79 | | | | % 22.08/3.79 | | | | GROUND_INST: instantiating (5) with 0, all_64_0, all_32_5, all_46_3, % 22.08/3.79 | | | | simplifying with (38), (75) gives: % 22.08/3.79 | | | | (78) all_64_0 = 0 % 22.08/3.79 | | | | % 22.08/3.79 | | | | BETA: splitting (76) gives: % 22.08/3.79 | | | | % 22.08/3.79 | | | | Case 1: % 22.08/3.79 | | | | | % 22.08/3.79 | | | | | (79) ~ (all_64_0 = 0) % 22.08/3.79 | | | | | % 22.08/3.79 | | | | | REDUCE: (78), (79) imply: % 22.08/3.79 | | | | | (80) $false % 22.08/3.79 | | | | | % 22.08/3.79 | | | | | CLOSE: (80) is inconsistent. % 22.08/3.79 | | | | | % 22.08/3.79 | | | | Case 2: % 22.08/3.79 | | | | | % 22.08/3.79 | | | | | (81) ~ (all_64_1 = 0) % 22.08/3.79 | | | | | % 22.08/3.79 | | | | | REDUCE: (77), (81) imply: % 22.08/3.79 | | | | | (82) $false % 22.08/3.79 | | | | | % 22.08/3.79 | | | | | CLOSE: (82) is inconsistent. % 22.08/3.79 | | | | | % 22.08/3.79 | | | | End of split % 22.08/3.79 | | | | % 22.08/3.79 | | | Case 2: % 22.08/3.79 | | | | % 22.08/3.79 | | | | (83) ? [v0: $i] : (apply(all_32_8, v0, all_46_3) = 0 & % 22.08/3.79 | | | | apply(all_32_9, all_46_4, v0) = 0 & member(v0, all_32_6) = 0 & % 22.08/3.79 | | | | $i(v0)) % 22.08/3.79 | | | | % 22.08/3.79 | | | | DELTA: instantiating (83) with fresh symbol all_64_0 gives: % 22.08/3.79 | | | | (84) apply(all_32_8, all_64_0, all_46_3) = 0 & apply(all_32_9, % 22.08/3.79 | | | | all_46_4, all_64_0) = 0 & member(all_64_0, all_32_6) = 0 & % 22.08/3.79 | | | | $i(all_64_0) % 22.08/3.79 | | | | % 22.08/3.79 | | | | ALPHA: (84) implies: % 22.08/3.79 | | | | (85) $i(all_64_0) % 22.08/3.79 | | | | (86) member(all_64_0, all_32_6) = 0 % 22.08/3.79 | | | | (87) apply(all_32_9, all_46_4, all_64_0) = 0 % 22.08/3.79 | | | | (88) apply(all_32_8, all_64_0, all_46_3) = 0 % 22.08/3.79 | | | | % 22.08/3.79 | | | | GROUND_INST: instantiating (25) with all_46_4, all_55_0, all_46_4, % 22.08/3.79 | | | | all_55_0, simplifying with (33), (53), (54) gives: % 22.08/3.79 | | | | (89) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? [v3: any] : ? % 22.08/3.79 | | | | [v4: any] : ? [v5: any] : (apply(all_32_3, all_55_0, all_55_0) % 22.08/3.79 | | | | = v5 & apply(all_32_4, all_46_4, all_46_4) = v4 & % 22.08/3.79 | | | | member(all_55_0, all_32_6) = v3 & member(all_55_0, all_32_6) = % 22.08/3.79 | | | | v1 & member(all_46_4, all_32_7) = v2 & member(all_46_4, % 22.08/3.79 | | | | all_32_7) = v0 & ( ~ (v4 = 0) | ~ (v3 = 0) | ~ (v2 = 0) | % 22.08/3.79 | | | | ~ (v1 = 0) | ~ (v0 = 0) | v5 = 0)) % 22.08/3.79 | | | | % 22.08/3.79 | | | | GROUND_INST: instantiating (25) with all_46_4, all_64_0, all_46_4, % 22.08/3.79 | | | | all_64_0, simplifying with (33), (85), (87) gives: % 22.08/3.79 | | | | (90) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? [v3: any] : ? % 22.08/3.79 | | | | [v4: any] : ? [v5: any] : (apply(all_32_3, all_64_0, all_64_0) % 22.08/3.79 | | | | = v5 & apply(all_32_4, all_46_4, all_46_4) = v4 & % 22.08/3.79 | | | | member(all_64_0, all_32_6) = v3 & member(all_64_0, all_32_6) = % 22.08/3.79 | | | | v1 & member(all_46_4, all_32_7) = v2 & member(all_46_4, % 22.08/3.79 | | | | all_32_7) = v0 & ( ~ (v4 = 0) | ~ (v3 = 0) | ~ (v2 = 0) | % 22.08/3.79 | | | | ~ (v1 = 0) | ~ (v0 = 0) | v5 = 0)) % 22.08/3.79 | | | | % 22.08/3.79 | | | | GROUND_INST: instantiating (25) with all_46_4, all_55_0, all_46_4, % 22.08/3.79 | | | | all_64_0, simplifying with (33), (53), (54), (85), (87) % 22.08/3.79 | | | | gives: % 22.08/3.79 | | | | (91) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? [v3: any] : ? % 22.08/3.79 | | | | [v4: any] : ? [v5: any] : (apply(all_32_3, all_55_0, all_64_0) % 22.08/3.79 | | | | = v5 & apply(all_32_4, all_46_4, all_46_4) = v4 & % 22.08/3.79 | | | | member(all_64_0, all_32_6) = v3 & member(all_55_0, all_32_6) = % 22.08/3.79 | | | | v1 & member(all_46_4, all_32_7) = v2 & member(all_46_4, % 22.08/3.79 | | | | all_32_7) = v0 & ( ~ (v4 = 0) | ~ (v3 = 0) | ~ (v2 = 0) | % 22.08/3.79 | | | | ~ (v1 = 0) | ~ (v0 = 0) | v5 = 0)) % 22.08/3.79 | | | | % 22.08/3.79 | | | | GROUND_INST: instantiating (25) with all_46_4, all_64_0, all_46_4, % 22.08/3.79 | | | | all_55_0, simplifying with (33), (53), (54), (85), (87) % 22.08/3.79 | | | | gives: % 22.08/3.79 | | | | (92) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? [v3: any] : ? % 22.08/3.79 | | | | [v4: any] : ? [v5: any] : (apply(all_32_3, all_64_0, all_55_0) % 22.08/3.79 | | | | = v5 & apply(all_32_4, all_46_4, all_46_4) = v4 & % 22.08/3.79 | | | | member(all_64_0, all_32_6) = v1 & member(all_55_0, all_32_6) = % 22.08/3.79 | | | | v3 & member(all_46_4, all_32_7) = v2 & member(all_46_4, % 22.08/3.79 | | | | all_32_7) = v0 & ( ~ (v4 = 0) | ~ (v3 = 0) | ~ (v2 = 0) | % 22.08/3.79 | | | | ~ (v1 = 0) | ~ (v0 = 0) | v5 = 0)) % 22.08/3.79 | | | | % 22.08/3.79 | | | | GROUND_INST: instantiating (25) with all_46_2, all_53_0, all_46_2, % 22.08/3.79 | | | | all_53_0, simplifying with (35), (50), (51) gives: % 22.08/3.80 | | | | (93) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? [v3: any] : ? % 22.08/3.80 | | | | [v4: any] : ? [v5: any] : (apply(all_32_3, all_53_0, all_53_0) % 22.08/3.80 | | | | = v5 & apply(all_32_4, all_46_2, all_46_2) = v4 & % 22.08/3.80 | | | | member(all_53_0, all_32_6) = v3 & member(all_53_0, all_32_6) = % 22.08/3.80 | | | | v1 & member(all_46_2, all_32_7) = v2 & member(all_46_2, % 22.08/3.80 | | | | all_32_7) = v0 & ( ~ (v4 = 0) | ~ (v3 = 0) | ~ (v2 = 0) | % 22.08/3.80 | | | | ~ (v1 = 0) | ~ (v0 = 0) | v5 = 0)) % 22.08/3.80 | | | | % 22.08/3.80 | | | | GROUND_INST: instantiating (25) with all_46_4, all_64_0, all_46_2, % 22.08/3.80 | | | | all_53_0, simplifying with (33), (35), (50), (51), (85), % 22.08/3.80 | | | | (87) gives: % 22.08/3.80 | | | | (94) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? [v3: any] : ? % 22.08/3.80 | | | | [v4: any] : ? [v5: any] : (apply(all_32_3, all_64_0, all_53_0) % 22.08/3.80 | | | | = v5 & apply(all_32_4, all_46_4, all_46_2) = v4 & % 22.08/3.80 | | | | member(all_64_0, all_32_6) = v1 & member(all_53_0, all_32_6) = % 22.08/3.80 | | | | v3 & member(all_46_2, all_32_7) = v2 & member(all_46_4, % 22.08/3.80 | | | | all_32_7) = v0 & ( ~ (v4 = 0) | ~ (v3 = 0) | ~ (v2 = 0) | % 22.08/3.80 | | | | ~ (v1 = 0) | ~ (v0 = 0) | v5 = 0)) % 22.08/3.80 | | | | % 22.08/3.80 | | | | GROUND_INST: instantiating (25) with all_46_2, all_53_0, all_46_4, % 22.08/3.80 | | | | all_64_0, simplifying with (33), (35), (50), (51), (85), % 22.08/3.80 | | | | (87) gives: % 22.08/3.80 | | | | (95) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? [v3: any] : ? % 22.08/3.80 | | | | [v4: any] : ? [v5: any] : (apply(all_32_3, all_53_0, all_64_0) % 22.08/3.80 | | | | = v5 & apply(all_32_4, all_46_2, all_46_4) = v4 & % 22.08/3.80 | | | | member(all_64_0, all_32_6) = v3 & member(all_53_0, all_32_6) = % 22.08/3.80 | | | | v1 & member(all_46_2, all_32_7) = v0 & member(all_46_4, % 22.08/3.80 | | | | all_32_7) = v2 & ( ~ (v4 = 0) | ~ (v3 = 0) | ~ (v2 = 0) | % 22.08/3.80 | | | | ~ (v1 = 0) | ~ (v0 = 0) | v5 = 0)) % 22.08/3.80 | | | | % 22.08/3.80 | | | | GROUND_INST: instantiating (25) with all_46_4, all_55_0, all_46_2, % 22.08/3.80 | | | | all_53_0, simplifying with (33), (35), (50), (51), (53), % 22.08/3.80 | | | | (54) gives: % 22.08/3.80 | | | | (96) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? [v3: any] : ? % 22.08/3.80 | | | | [v4: any] : ? [v5: any] : (apply(all_32_3, all_55_0, all_53_0) % 22.08/3.80 | | | | = v5 & apply(all_32_4, all_46_4, all_46_2) = v4 & % 22.08/3.80 | | | | member(all_55_0, all_32_6) = v1 & member(all_53_0, all_32_6) = % 22.08/3.80 | | | | v3 & member(all_46_2, all_32_7) = v2 & member(all_46_4, % 22.08/3.80 | | | | all_32_7) = v0 & ( ~ (v4 = 0) | ~ (v3 = 0) | ~ (v2 = 0) | % 22.08/3.80 | | | | ~ (v1 = 0) | ~ (v0 = 0) | v5 = 0)) % 22.08/3.80 | | | | % 22.08/3.80 | | | | GROUND_INST: instantiating (25) with all_46_2, all_53_0, all_46_4, % 22.08/3.80 | | | | all_55_0, simplifying with (33), (35), (50), (51), (53), % 22.08/3.80 | | | | (54) gives: % 22.08/3.80 | | | | (97) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? [v3: any] : ? % 22.08/3.80 | | | | [v4: any] : ? [v5: any] : (apply(all_32_3, all_53_0, all_55_0) % 22.08/3.80 | | | | = v5 & apply(all_32_4, all_46_2, all_46_4) = v4 & % 22.08/3.80 | | | | member(all_55_0, all_32_6) = v3 & member(all_53_0, all_32_6) = % 22.08/3.80 | | | | v1 & member(all_46_2, all_32_7) = v0 & member(all_46_4, % 22.08/3.80 | | | | all_32_7) = v2 & ( ~ (v4 = 0) | ~ (v3 = 0) | ~ (v2 = 0) | % 22.08/3.80 | | | | ~ (v1 = 0) | ~ (v0 = 0) | v5 = 0)) % 22.08/3.80 | | | | % 22.08/3.80 | | | | GROUND_INST: instantiating (25) with all_46_2, all_60_0, all_46_2, % 22.08/3.80 | | | | all_60_0, simplifying with (35), (68), (70) gives: % 22.08/3.80 | | | | (98) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? [v3: any] : ? % 22.08/3.80 | | | | [v4: any] : ? [v5: any] : (apply(all_32_3, all_60_0, all_60_0) % 22.08/3.80 | | | | = v5 & apply(all_32_4, all_46_2, all_46_2) = v4 & % 22.08/3.80 | | | | member(all_60_0, all_32_6) = v3 & member(all_60_0, all_32_6) = % 22.08/3.80 | | | | v1 & member(all_46_2, all_32_7) = v2 & member(all_46_2, % 22.08/3.80 | | | | all_32_7) = v0 & ( ~ (v4 = 0) | ~ (v3 = 0) | ~ (v2 = 0) | % 22.08/3.80 | | | | ~ (v1 = 0) | ~ (v0 = 0) | v5 = 0)) % 22.08/3.80 | | | | % 22.08/3.80 | | | | GROUND_INST: instantiating (25) with all_46_2, all_53_0, all_46_2, % 22.08/3.80 | | | | all_60_0, simplifying with (35), (50), (51), (68), (70) % 22.08/3.80 | | | | gives: % 22.08/3.80 | | | | (99) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? [v3: any] : ? % 22.08/3.80 | | | | [v4: any] : ? [v5: any] : (apply(all_32_3, all_53_0, all_60_0) % 22.08/3.80 | | | | = v5 & apply(all_32_4, all_46_2, all_46_2) = v4 & % 22.08/3.80 | | | | member(all_60_0, all_32_6) = v3 & member(all_53_0, all_32_6) = % 22.08/3.80 | | | | v1 & member(all_46_2, all_32_7) = v2 & member(all_46_2, % 22.08/3.80 | | | | all_32_7) = v0 & ( ~ (v4 = 0) | ~ (v3 = 0) | ~ (v2 = 0) | % 22.08/3.80 | | | | ~ (v1 = 0) | ~ (v0 = 0) | v5 = 0)) % 22.08/3.80 | | | | % 22.08/3.80 | | | | GROUND_INST: instantiating (25) with all_46_2, all_60_0, all_46_2, % 22.08/3.80 | | | | all_53_0, simplifying with (35), (50), (51), (68), (70) % 22.08/3.80 | | | | gives: % 22.08/3.80 | | | | (100) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? [v3: any] : ? % 22.08/3.80 | | | | [v4: any] : ? [v5: any] : (apply(all_32_3, all_60_0, all_53_0) % 22.08/3.80 | | | | = v5 & apply(all_32_4, all_46_2, all_46_2) = v4 & % 22.08/3.80 | | | | member(all_60_0, all_32_6) = v1 & member(all_53_0, all_32_6) % 22.08/3.80 | | | | = v3 & member(all_46_2, all_32_7) = v2 & member(all_46_2, % 22.08/3.80 | | | | all_32_7) = v0 & ( ~ (v4 = 0) | ~ (v3 = 0) | ~ (v2 = 0) | % 22.08/3.80 | | | | ~ (v1 = 0) | ~ (v0 = 0) | v5 = 0)) % 22.08/3.80 | | | | % 22.08/3.80 | | | | GROUND_INST: instantiating (25) with all_46_4, all_64_0, all_46_2, % 22.08/3.80 | | | | all_60_0, simplifying with (33), (35), (68), (70), (85), % 22.08/3.80 | | | | (87) gives: % 22.08/3.81 | | | | (101) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? [v3: any] : ? % 22.08/3.81 | | | | [v4: any] : ? [v5: any] : (apply(all_32_3, all_64_0, all_60_0) % 22.08/3.81 | | | | = v5 & apply(all_32_4, all_46_4, all_46_2) = v4 & % 22.08/3.81 | | | | member(all_64_0, all_32_6) = v1 & member(all_60_0, all_32_6) % 22.08/3.81 | | | | = v3 & member(all_46_2, all_32_7) = v2 & member(all_46_4, % 22.08/3.81 | | | | all_32_7) = v0 & ( ~ (v4 = 0) | ~ (v3 = 0) | ~ (v2 = 0) | % 22.08/3.81 | | | | ~ (v1 = 0) | ~ (v0 = 0) | v5 = 0)) % 22.08/3.81 | | | | % 22.08/3.81 | | | | GROUND_INST: instantiating (25) with all_46_2, all_60_0, all_46_4, % 22.08/3.81 | | | | all_64_0, simplifying with (33), (35), (68), (70), (85), % 22.08/3.81 | | | | (87) gives: % 22.08/3.81 | | | | (102) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? [v3: any] : ? % 22.08/3.81 | | | | [v4: any] : ? [v5: any] : (apply(all_32_3, all_60_0, all_64_0) % 22.08/3.81 | | | | = v5 & apply(all_32_4, all_46_2, all_46_4) = v4 & % 22.08/3.81 | | | | member(all_64_0, all_32_6) = v3 & member(all_60_0, all_32_6) % 22.08/3.81 | | | | = v1 & member(all_46_2, all_32_7) = v0 & member(all_46_4, % 22.08/3.81 | | | | all_32_7) = v2 & ( ~ (v4 = 0) | ~ (v3 = 0) | ~ (v2 = 0) | % 22.08/3.81 | | | | ~ (v1 = 0) | ~ (v0 = 0) | v5 = 0)) % 22.08/3.81 | | | | % 22.08/3.81 | | | | GROUND_INST: instantiating (25) with all_46_4, all_55_0, all_46_2, % 22.08/3.81 | | | | all_60_0, simplifying with (33), (35), (53), (54), (68), % 22.08/3.81 | | | | (70) gives: % 22.08/3.81 | | | | (103) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? [v3: any] : ? % 22.08/3.81 | | | | [v4: any] : ? [v5: any] : (apply(all_32_3, all_55_0, all_60_0) % 22.08/3.81 | | | | = v5 & apply(all_32_4, all_46_4, all_46_2) = v4 & % 22.08/3.81 | | | | member(all_60_0, all_32_6) = v3 & member(all_55_0, all_32_6) % 22.08/3.81 | | | | = v1 & member(all_46_2, all_32_7) = v2 & member(all_46_4, % 22.08/3.81 | | | | all_32_7) = v0 & ( ~ (v4 = 0) | ~ (v3 = 0) | ~ (v2 = 0) | % 22.08/3.81 | | | | ~ (v1 = 0) | ~ (v0 = 0) | v5 = 0)) % 22.08/3.81 | | | | % 22.08/3.81 | | | | GROUND_INST: instantiating (25) with all_46_2, all_60_0, all_46_4, % 22.08/3.81 | | | | all_55_0, simplifying with (33), (35), (53), (54), (68), % 22.08/3.81 | | | | (70) gives: % 22.08/3.81 | | | | (104) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? [v3: any] : ? % 22.08/3.81 | | | | [v4: any] : ? [v5: any] : (apply(all_32_3, all_60_0, all_55_0) % 22.08/3.81 | | | | = v5 & apply(all_32_4, all_46_2, all_46_4) = v4 & % 22.08/3.81 | | | | member(all_60_0, all_32_6) = v1 & member(all_55_0, all_32_6) % 22.08/3.81 | | | | = v3 & member(all_46_2, all_32_7) = v0 & member(all_46_4, % 22.08/3.81 | | | | all_32_7) = v2 & ( ~ (v4 = 0) | ~ (v3 = 0) | ~ (v2 = 0) | % 22.08/3.81 | | | | ~ (v1 = 0) | ~ (v0 = 0) | v5 = 0)) % 22.08/3.81 | | | | % 22.08/3.81 | | | | GROUND_INST: instantiating (26) with all_60_0, all_46_1, all_60_0, % 22.08/3.81 | | | | all_46_1, simplifying with (36), (68), (71) gives: % 22.08/3.81 | | | | (105) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? [v3: any] : ? % 22.08/3.81 | | | | [v4: any] : ? [v5: any] : (apply(all_32_2, all_46_1, all_46_1) % 22.08/3.81 | | | | = v5 & apply(all_32_3, all_60_0, all_60_0) = v4 & % 22.08/3.81 | | | | member(all_60_0, all_32_6) = v2 & member(all_60_0, all_32_6) % 22.08/3.81 | | | | = v0 & member(all_46_1, all_32_5) = v3 & member(all_46_1, % 22.08/3.81 | | | | all_32_5) = v1 & ( ~ (v4 = 0) | ~ (v3 = 0) | ~ (v2 = 0) | % 22.08/3.81 | | | | ~ (v1 = 0) | ~ (v0 = 0) | v5 = 0)) % 22.08/3.81 | | | | % 22.08/3.81 | | | | GROUND_INST: instantiating (26) with all_64_0, all_46_3, all_64_0, % 22.08/3.81 | | | | all_46_3, simplifying with (34), (85), (88) gives: % 22.08/3.81 | | | | (106) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? [v3: any] : ? % 22.08/3.81 | | | | [v4: any] : ? [v5: any] : (apply(all_32_2, all_46_3, all_46_3) % 22.08/3.81 | | | | = v5 & apply(all_32_3, all_64_0, all_64_0) = v4 & % 22.08/3.81 | | | | member(all_64_0, all_32_6) = v2 & member(all_64_0, all_32_6) % 22.08/3.81 | | | | = v0 & member(all_46_3, all_32_5) = v3 & member(all_46_3, % 22.08/3.81 | | | | all_32_5) = v1 & ( ~ (v4 = 0) | ~ (v3 = 0) | ~ (v2 = 0) | % 22.08/3.81 | | | | ~ (v1 = 0) | ~ (v0 = 0) | v5 = 0)) % 22.08/3.81 | | | | % 22.08/3.81 | | | | GROUND_INST: instantiating (26) with all_60_0, all_46_1, all_64_0, % 22.08/3.81 | | | | all_46_3, simplifying with (34), (36), (68), (71), (85), % 22.08/3.81 | | | | (88) gives: % 22.08/3.81 | | | | (107) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? [v3: any] : ? % 22.08/3.81 | | | | [v4: any] : ? [v5: any] : (apply(all_32_2, all_46_3, all_46_1) % 22.08/3.81 | | | | = v5 & apply(all_32_3, all_60_0, all_64_0) = v4 & % 22.08/3.81 | | | | member(all_64_0, all_32_6) = v2 & member(all_60_0, all_32_6) % 22.08/3.81 | | | | = v0 & member(all_46_1, all_32_5) = v1 & member(all_46_3, % 22.08/3.81 | | | | all_32_5) = v3 & ( ~ (v4 = 0) | ~ (v3 = 0) | ~ (v2 = 0) | % 22.08/3.81 | | | | ~ (v1 = 0) | ~ (v0 = 0) | v5 = 0)) % 22.08/3.81 | | | | % 22.08/3.81 | | | | GROUND_INST: instantiating (26) with all_64_0, all_46_3, all_60_0, % 22.08/3.81 | | | | all_46_1, simplifying with (34), (36), (68), (71), (85), % 22.08/3.81 | | | | (88) gives: % 22.08/3.81 | | | | (108) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? [v3: any] : ? % 22.08/3.81 | | | | [v4: any] : ? [v5: any] : (apply(all_32_2, all_46_1, all_46_3) % 22.08/3.81 | | | | = v5 & apply(all_32_3, all_64_0, all_60_0) = v4 & % 22.08/3.81 | | | | member(all_64_0, all_32_6) = v0 & member(all_60_0, all_32_6) % 22.08/3.81 | | | | = v2 & member(all_46_1, all_32_5) = v3 & member(all_46_3, % 22.08/3.81 | | | | all_32_5) = v1 & ( ~ (v4 = 0) | ~ (v3 = 0) | ~ (v2 = 0) | % 22.08/3.81 | | | | ~ (v1 = 0) | ~ (v0 = 0) | v5 = 0)) % 22.08/3.81 | | | | % 22.08/3.81 | | | | DELTA: instantiating (90) with fresh symbols all_79_0, all_79_1, % 22.08/3.81 | | | | all_79_2, all_79_3, all_79_4, all_79_5 gives: % 22.08/3.81 | | | | (109) apply(all_32_3, all_64_0, all_64_0) = all_79_0 & % 22.08/3.81 | | | | apply(all_32_4, all_46_4, all_46_4) = all_79_1 & % 22.08/3.81 | | | | member(all_64_0, all_32_6) = all_79_2 & member(all_64_0, % 22.08/3.81 | | | | all_32_6) = all_79_4 & member(all_46_4, all_32_7) = all_79_3 % 22.08/3.81 | | | | & member(all_46_4, all_32_7) = all_79_5 & ( ~ (all_79_1 = 0) | % 22.08/3.81 | | | | ~ (all_79_2 = 0) | ~ (all_79_3 = 0) | ~ (all_79_4 = 0) | ~ % 22.08/3.81 | | | | (all_79_5 = 0) | all_79_0 = 0) % 22.08/3.81 | | | | % 22.08/3.81 | | | | ALPHA: (109) implies: % 22.08/3.81 | | | | (110) member(all_46_4, all_32_7) = all_79_5 % 22.08/3.81 | | | | (111) member(all_46_4, all_32_7) = all_79_3 % 22.08/3.81 | | | | % 22.08/3.81 | | | | DELTA: instantiating (108) with fresh symbols all_81_0, all_81_1, % 22.08/3.81 | | | | all_81_2, all_81_3, all_81_4, all_81_5 gives: % 22.08/3.81 | | | | (112) apply(all_32_2, all_46_1, all_46_3) = all_81_0 & % 22.08/3.81 | | | | apply(all_32_3, all_64_0, all_60_0) = all_81_1 & % 22.08/3.81 | | | | member(all_64_0, all_32_6) = all_81_5 & member(all_60_0, % 22.08/3.81 | | | | all_32_6) = all_81_3 & member(all_46_1, all_32_5) = all_81_2 % 22.08/3.81 | | | | & member(all_46_3, all_32_5) = all_81_4 & ( ~ (all_81_1 = 0) | % 22.08/3.81 | | | | ~ (all_81_2 = 0) | ~ (all_81_3 = 0) | ~ (all_81_4 = 0) | ~ % 22.08/3.81 | | | | (all_81_5 = 0) | all_81_0 = 0) % 22.08/3.81 | | | | % 22.08/3.81 | | | | ALPHA: (112) implies: % 22.08/3.82 | | | | (113) member(all_46_3, all_32_5) = all_81_4 % 22.08/3.82 | | | | (114) member(all_46_1, all_32_5) = all_81_2 % 22.08/3.82 | | | | (115) member(all_60_0, all_32_6) = all_81_3 % 22.08/3.82 | | | | (116) member(all_64_0, all_32_6) = all_81_5 % 22.08/3.82 | | | | (117) apply(all_32_3, all_64_0, all_60_0) = all_81_1 % 22.08/3.82 | | | | (118) apply(all_32_2, all_46_1, all_46_3) = all_81_0 % 22.08/3.82 | | | | (119) ~ (all_81_1 = 0) | ~ (all_81_2 = 0) | ~ (all_81_3 = 0) | ~ % 22.08/3.82 | | | | (all_81_4 = 0) | ~ (all_81_5 = 0) | all_81_0 = 0 % 22.08/3.82 | | | | % 22.08/3.82 | | | | DELTA: instantiating (107) with fresh symbols all_83_0, all_83_1, % 22.08/3.82 | | | | all_83_2, all_83_3, all_83_4, all_83_5 gives: % 22.08/3.82 | | | | (120) apply(all_32_2, all_46_3, all_46_1) = all_83_0 & % 22.08/3.82 | | | | apply(all_32_3, all_60_0, all_64_0) = all_83_1 & % 22.08/3.82 | | | | member(all_64_0, all_32_6) = all_83_3 & member(all_60_0, % 22.08/3.82 | | | | all_32_6) = all_83_5 & member(all_46_1, all_32_5) = all_83_4 % 22.08/3.82 | | | | & member(all_46_3, all_32_5) = all_83_2 & ( ~ (all_83_1 = 0) | % 22.08/3.82 | | | | ~ (all_83_2 = 0) | ~ (all_83_3 = 0) | ~ (all_83_4 = 0) | ~ % 22.08/3.82 | | | | (all_83_5 = 0) | all_83_0 = 0) % 22.08/3.82 | | | | % 22.08/3.82 | | | | ALPHA: (120) implies: % 22.08/3.82 | | | | (121) member(all_46_3, all_32_5) = all_83_2 % 22.08/3.82 | | | | (122) member(all_46_1, all_32_5) = all_83_4 % 22.08/3.82 | | | | (123) member(all_60_0, all_32_6) = all_83_5 % 22.08/3.82 | | | | (124) member(all_64_0, all_32_6) = all_83_3 % 22.08/3.82 | | | | % 22.08/3.82 | | | | DELTA: instantiating (104) with fresh symbols all_85_0, all_85_1, % 22.08/3.82 | | | | all_85_2, all_85_3, all_85_4, all_85_5 gives: % 22.08/3.82 | | | | (125) apply(all_32_3, all_60_0, all_55_0) = all_85_0 & % 22.08/3.82 | | | | apply(all_32_4, all_46_2, all_46_4) = all_85_1 & % 22.08/3.82 | | | | member(all_60_0, all_32_6) = all_85_4 & member(all_55_0, % 22.08/3.82 | | | | all_32_6) = all_85_2 & member(all_46_2, all_32_7) = all_85_5 % 22.08/3.82 | | | | & member(all_46_4, all_32_7) = all_85_3 & ( ~ (all_85_1 = 0) | % 22.08/3.82 | | | | ~ (all_85_2 = 0) | ~ (all_85_3 = 0) | ~ (all_85_4 = 0) | ~ % 22.08/3.82 | | | | (all_85_5 = 0) | all_85_0 = 0) % 22.08/3.82 | | | | % 22.08/3.82 | | | | ALPHA: (125) implies: % 22.08/3.82 | | | | (126) member(all_46_4, all_32_7) = all_85_3 % 22.08/3.82 | | | | (127) member(all_46_2, all_32_7) = all_85_5 % 22.08/3.82 | | | | (128) member(all_60_0, all_32_6) = all_85_4 % 22.08/3.82 | | | | % 22.08/3.82 | | | | DELTA: instantiating (103) with fresh symbols all_87_0, all_87_1, % 22.08/3.82 | | | | all_87_2, all_87_3, all_87_4, all_87_5 gives: % 22.08/3.82 | | | | (129) apply(all_32_3, all_55_0, all_60_0) = all_87_0 & % 22.08/3.82 | | | | apply(all_32_4, all_46_4, all_46_2) = all_87_1 & % 22.08/3.82 | | | | member(all_60_0, all_32_6) = all_87_2 & member(all_55_0, % 22.08/3.82 | | | | all_32_6) = all_87_4 & member(all_46_2, all_32_7) = all_87_3 % 22.08/3.82 | | | | & member(all_46_4, all_32_7) = all_87_5 & ( ~ (all_87_1 = 0) | % 22.08/3.82 | | | | ~ (all_87_2 = 0) | ~ (all_87_3 = 0) | ~ (all_87_4 = 0) | ~ % 22.08/3.82 | | | | (all_87_5 = 0) | all_87_0 = 0) % 22.08/3.82 | | | | % 22.08/3.82 | | | | ALPHA: (129) implies: % 22.08/3.82 | | | | (130) member(all_46_4, all_32_7) = all_87_5 % 22.08/3.82 | | | | (131) member(all_46_2, all_32_7) = all_87_3 % 22.08/3.82 | | | | (132) member(all_60_0, all_32_6) = all_87_2 % 22.08/3.82 | | | | % 22.08/3.82 | | | | DELTA: instantiating (100) with fresh symbols all_89_0, all_89_1, % 22.08/3.82 | | | | all_89_2, all_89_3, all_89_4, all_89_5 gives: % 22.08/3.82 | | | | (133) apply(all_32_3, all_60_0, all_53_0) = all_89_0 & % 22.08/3.82 | | | | apply(all_32_4, all_46_2, all_46_2) = all_89_1 & % 22.08/3.82 | | | | member(all_60_0, all_32_6) = all_89_4 & member(all_53_0, % 22.08/3.82 | | | | all_32_6) = all_89_2 & member(all_46_2, all_32_7) = all_89_3 % 22.08/3.82 | | | | & member(all_46_2, all_32_7) = all_89_5 & ( ~ (all_89_1 = 0) | % 22.08/3.82 | | | | ~ (all_89_2 = 0) | ~ (all_89_3 = 0) | ~ (all_89_4 = 0) | ~ % 22.08/3.82 | | | | (all_89_5 = 0) | all_89_0 = 0) % 22.08/3.82 | | | | % 22.08/3.82 | | | | ALPHA: (133) implies: % 22.08/3.82 | | | | (134) member(all_46_2, all_32_7) = all_89_5 % 22.08/3.82 | | | | (135) member(all_46_2, all_32_7) = all_89_3 % 22.08/3.82 | | | | (136) member(all_60_0, all_32_6) = all_89_4 % 22.08/3.82 | | | | % 22.08/3.82 | | | | DELTA: instantiating (99) with fresh symbols all_91_0, all_91_1, % 22.08/3.82 | | | | all_91_2, all_91_3, all_91_4, all_91_5 gives: % 22.08/3.82 | | | | (137) apply(all_32_3, all_53_0, all_60_0) = all_91_0 & % 22.08/3.82 | | | | apply(all_32_4, all_46_2, all_46_2) = all_91_1 & % 22.08/3.82 | | | | member(all_60_0, all_32_6) = all_91_2 & member(all_53_0, % 22.08/3.82 | | | | all_32_6) = all_91_4 & member(all_46_2, all_32_7) = all_91_3 % 22.08/3.82 | | | | & member(all_46_2, all_32_7) = all_91_5 & ( ~ (all_91_1 = 0) | % 22.08/3.82 | | | | ~ (all_91_2 = 0) | ~ (all_91_3 = 0) | ~ (all_91_4 = 0) | ~ % 22.08/3.82 | | | | (all_91_5 = 0) | all_91_0 = 0) % 22.08/3.82 | | | | % 22.08/3.82 | | | | ALPHA: (137) implies: % 22.08/3.82 | | | | (138) member(all_46_2, all_32_7) = all_91_5 % 22.08/3.82 | | | | (139) member(all_46_2, all_32_7) = all_91_3 % 22.08/3.82 | | | | (140) member(all_60_0, all_32_6) = all_91_2 % 22.08/3.82 | | | | % 22.08/3.82 | | | | DELTA: instantiating (102) with fresh symbols all_93_0, all_93_1, % 22.08/3.82 | | | | all_93_2, all_93_3, all_93_4, all_93_5 gives: % 22.08/3.82 | | | | (141) apply(all_32_3, all_60_0, all_64_0) = all_93_0 & % 22.08/3.82 | | | | apply(all_32_4, all_46_2, all_46_4) = all_93_1 & % 22.08/3.82 | | | | member(all_64_0, all_32_6) = all_93_2 & member(all_60_0, % 22.08/3.82 | | | | all_32_6) = all_93_4 & member(all_46_2, all_32_7) = all_93_5 % 22.08/3.82 | | | | & member(all_46_4, all_32_7) = all_93_3 & ( ~ (all_93_1 = 0) | % 22.08/3.82 | | | | ~ (all_93_2 = 0) | ~ (all_93_3 = 0) | ~ (all_93_4 = 0) | ~ % 22.08/3.82 | | | | (all_93_5 = 0) | all_93_0 = 0) % 22.08/3.82 | | | | % 22.08/3.82 | | | | ALPHA: (141) implies: % 22.08/3.82 | | | | (142) member(all_46_4, all_32_7) = all_93_3 % 22.08/3.82 | | | | (143) member(all_46_2, all_32_7) = all_93_5 % 22.08/3.82 | | | | (144) member(all_60_0, all_32_6) = all_93_4 % 22.08/3.82 | | | | (145) member(all_64_0, all_32_6) = all_93_2 % 22.08/3.82 | | | | % 22.08/3.82 | | | | DELTA: instantiating (101) with fresh symbols all_95_0, all_95_1, % 22.08/3.82 | | | | all_95_2, all_95_3, all_95_4, all_95_5 gives: % 22.08/3.82 | | | | (146) apply(all_32_3, all_64_0, all_60_0) = all_95_0 & % 22.08/3.82 | | | | apply(all_32_4, all_46_4, all_46_2) = all_95_1 & % 22.08/3.82 | | | | member(all_64_0, all_32_6) = all_95_4 & member(all_60_0, % 22.08/3.82 | | | | all_32_6) = all_95_2 & member(all_46_2, all_32_7) = all_95_3 % 22.08/3.82 | | | | & member(all_46_4, all_32_7) = all_95_5 & ( ~ (all_95_1 = 0) | % 22.08/3.82 | | | | ~ (all_95_2 = 0) | ~ (all_95_3 = 0) | ~ (all_95_4 = 0) | ~ % 22.08/3.82 | | | | (all_95_5 = 0) | all_95_0 = 0) % 22.08/3.82 | | | | % 22.08/3.82 | | | | ALPHA: (146) implies: % 22.08/3.82 | | | | (147) member(all_46_4, all_32_7) = all_95_5 % 22.08/3.82 | | | | (148) member(all_46_2, all_32_7) = all_95_3 % 22.08/3.82 | | | | (149) member(all_60_0, all_32_6) = all_95_2 % 22.08/3.82 | | | | (150) member(all_64_0, all_32_6) = all_95_4 % 22.08/3.82 | | | | (151) apply(all_32_4, all_46_4, all_46_2) = all_95_1 % 22.08/3.82 | | | | (152) apply(all_32_3, all_64_0, all_60_0) = all_95_0 % 22.08/3.82 | | | | (153) ~ (all_95_1 = 0) | ~ (all_95_2 = 0) | ~ (all_95_3 = 0) | ~ % 22.08/3.82 | | | | (all_95_4 = 0) | ~ (all_95_5 = 0) | all_95_0 = 0 % 22.08/3.82 | | | | % 22.08/3.82 | | | | DELTA: instantiating (106) with fresh symbols all_97_0, all_97_1, % 22.08/3.82 | | | | all_97_2, all_97_3, all_97_4, all_97_5 gives: % 22.08/3.82 | | | | (154) apply(all_32_2, all_46_3, all_46_3) = all_97_0 & % 22.08/3.82 | | | | apply(all_32_3, all_64_0, all_64_0) = all_97_1 & % 22.08/3.82 | | | | member(all_64_0, all_32_6) = all_97_3 & member(all_64_0, % 22.08/3.82 | | | | all_32_6) = all_97_5 & member(all_46_3, all_32_5) = all_97_2 % 22.08/3.82 | | | | & member(all_46_3, all_32_5) = all_97_4 & ( ~ (all_97_1 = 0) | % 22.08/3.82 | | | | ~ (all_97_2 = 0) | ~ (all_97_3 = 0) | ~ (all_97_4 = 0) | ~ % 22.08/3.82 | | | | (all_97_5 = 0) | all_97_0 = 0) % 22.08/3.82 | | | | % 22.08/3.82 | | | | ALPHA: (154) implies: % 22.08/3.83 | | | | (155) member(all_46_3, all_32_5) = all_97_4 % 22.08/3.83 | | | | (156) member(all_46_3, all_32_5) = all_97_2 % 22.08/3.83 | | | | (157) member(all_64_0, all_32_6) = all_97_5 % 22.08/3.83 | | | | (158) member(all_64_0, all_32_6) = all_97_3 % 22.08/3.83 | | | | % 22.08/3.83 | | | | DELTA: instantiating (105) with fresh symbols all_99_0, all_99_1, % 22.08/3.83 | | | | all_99_2, all_99_3, all_99_4, all_99_5 gives: % 22.08/3.83 | | | | (159) apply(all_32_2, all_46_1, all_46_1) = all_99_0 & % 22.08/3.83 | | | | apply(all_32_3, all_60_0, all_60_0) = all_99_1 & % 22.08/3.83 | | | | member(all_60_0, all_32_6) = all_99_3 & member(all_60_0, % 22.08/3.83 | | | | all_32_6) = all_99_5 & member(all_46_1, all_32_5) = all_99_2 % 22.08/3.83 | | | | & member(all_46_1, all_32_5) = all_99_4 & ( ~ (all_99_1 = 0) | % 22.08/3.83 | | | | ~ (all_99_2 = 0) | ~ (all_99_3 = 0) | ~ (all_99_4 = 0) | ~ % 22.08/3.83 | | | | (all_99_5 = 0) | all_99_0 = 0) % 22.08/3.83 | | | | % 22.08/3.83 | | | | ALPHA: (159) implies: % 22.08/3.83 | | | | (160) member(all_46_1, all_32_5) = all_99_4 % 22.08/3.83 | | | | (161) member(all_46_1, all_32_5) = all_99_2 % 22.08/3.83 | | | | (162) member(all_60_0, all_32_6) = all_99_5 % 22.08/3.83 | | | | (163) member(all_60_0, all_32_6) = all_99_3 % 22.08/3.83 | | | | % 22.08/3.83 | | | | DELTA: instantiating (89) with fresh symbols all_101_0, all_101_1, % 22.08/3.83 | | | | all_101_2, all_101_3, all_101_4, all_101_5 gives: % 22.08/3.83 | | | | (164) apply(all_32_3, all_55_0, all_55_0) = all_101_0 & % 22.08/3.83 | | | | apply(all_32_4, all_46_4, all_46_4) = all_101_1 & % 22.08/3.83 | | | | member(all_55_0, all_32_6) = all_101_2 & member(all_55_0, % 22.08/3.83 | | | | all_32_6) = all_101_4 & member(all_46_4, all_32_7) = % 22.08/3.83 | | | | all_101_3 & member(all_46_4, all_32_7) = all_101_5 & ( ~ % 22.08/3.83 | | | | (all_101_1 = 0) | ~ (all_101_2 = 0) | ~ (all_101_3 = 0) | % 22.08/3.83 | | | | ~ (all_101_4 = 0) | ~ (all_101_5 = 0) | all_101_0 = 0) % 22.08/3.83 | | | | % 22.08/3.83 | | | | ALPHA: (164) implies: % 22.08/3.83 | | | | (165) member(all_46_4, all_32_7) = all_101_5 % 22.08/3.83 | | | | (166) member(all_46_4, all_32_7) = all_101_3 % 22.08/3.83 | | | | % 22.08/3.83 | | | | DELTA: instantiating (98) with fresh symbols all_103_0, all_103_1, % 22.08/3.83 | | | | all_103_2, all_103_3, all_103_4, all_103_5 gives: % 22.08/3.83 | | | | (167) apply(all_32_3, all_60_0, all_60_0) = all_103_0 & % 22.08/3.83 | | | | apply(all_32_4, all_46_2, all_46_2) = all_103_1 & % 22.08/3.83 | | | | member(all_60_0, all_32_6) = all_103_2 & member(all_60_0, % 22.08/3.83 | | | | all_32_6) = all_103_4 & member(all_46_2, all_32_7) = % 22.08/3.83 | | | | all_103_3 & member(all_46_2, all_32_7) = all_103_5 & ( ~ % 22.08/3.83 | | | | (all_103_1 = 0) | ~ (all_103_2 = 0) | ~ (all_103_3 = 0) | % 22.08/3.83 | | | | ~ (all_103_4 = 0) | ~ (all_103_5 = 0) | all_103_0 = 0) % 22.08/3.83 | | | | % 22.08/3.83 | | | | ALPHA: (167) implies: % 22.08/3.83 | | | | (168) member(all_46_2, all_32_7) = all_103_5 % 22.08/3.83 | | | | (169) member(all_46_2, all_32_7) = all_103_3 % 22.08/3.83 | | | | (170) member(all_60_0, all_32_6) = all_103_4 % 22.08/3.83 | | | | (171) member(all_60_0, all_32_6) = all_103_2 % 22.08/3.83 | | | | % 22.08/3.83 | | | | DELTA: instantiating (97) with fresh symbols all_105_0, all_105_1, % 22.08/3.83 | | | | all_105_2, all_105_3, all_105_4, all_105_5 gives: % 22.08/3.83 | | | | (172) apply(all_32_3, all_53_0, all_55_0) = all_105_0 & % 22.08/3.83 | | | | apply(all_32_4, all_46_2, all_46_4) = all_105_1 & % 22.08/3.83 | | | | member(all_55_0, all_32_6) = all_105_2 & member(all_53_0, % 22.08/3.83 | | | | all_32_6) = all_105_4 & member(all_46_2, all_32_7) = % 22.08/3.83 | | | | all_105_5 & member(all_46_4, all_32_7) = all_105_3 & ( ~ % 22.08/3.83 | | | | (all_105_1 = 0) | ~ (all_105_2 = 0) | ~ (all_105_3 = 0) | % 22.08/3.83 | | | | ~ (all_105_4 = 0) | ~ (all_105_5 = 0) | all_105_0 = 0) % 22.08/3.83 | | | | % 22.08/3.83 | | | | ALPHA: (172) implies: % 22.08/3.83 | | | | (173) member(all_46_4, all_32_7) = all_105_3 % 22.08/3.83 | | | | (174) member(all_46_2, all_32_7) = all_105_5 % 22.08/3.83 | | | | % 22.08/3.83 | | | | DELTA: instantiating (94) with fresh symbols all_107_0, all_107_1, % 22.08/3.83 | | | | all_107_2, all_107_3, all_107_4, all_107_5 gives: % 22.08/3.83 | | | | (175) apply(all_32_3, all_64_0, all_53_0) = all_107_0 & % 22.08/3.83 | | | | apply(all_32_4, all_46_4, all_46_2) = all_107_1 & % 22.08/3.83 | | | | member(all_64_0, all_32_6) = all_107_4 & member(all_53_0, % 22.08/3.83 | | | | all_32_6) = all_107_2 & member(all_46_2, all_32_7) = % 22.08/3.83 | | | | all_107_3 & member(all_46_4, all_32_7) = all_107_5 & ( ~ % 22.08/3.83 | | | | (all_107_1 = 0) | ~ (all_107_2 = 0) | ~ (all_107_3 = 0) | % 22.08/3.83 | | | | ~ (all_107_4 = 0) | ~ (all_107_5 = 0) | all_107_0 = 0) % 22.08/3.83 | | | | % 22.08/3.83 | | | | ALPHA: (175) implies: % 22.08/3.83 | | | | (176) member(all_46_4, all_32_7) = all_107_5 % 22.08/3.83 | | | | (177) member(all_46_2, all_32_7) = all_107_3 % 22.08/3.83 | | | | (178) member(all_64_0, all_32_6) = all_107_4 % 22.08/3.83 | | | | (179) apply(all_32_4, all_46_4, all_46_2) = all_107_1 % 22.08/3.83 | | | | % 22.08/3.83 | | | | DELTA: instantiating (93) with fresh symbols all_109_0, all_109_1, % 22.08/3.83 | | | | all_109_2, all_109_3, all_109_4, all_109_5 gives: % 22.08/3.83 | | | | (180) apply(all_32_3, all_53_0, all_53_0) = all_109_0 & % 22.08/3.83 | | | | apply(all_32_4, all_46_2, all_46_2) = all_109_1 & % 22.08/3.83 | | | | member(all_53_0, all_32_6) = all_109_2 & member(all_53_0, % 22.08/3.83 | | | | all_32_6) = all_109_4 & member(all_46_2, all_32_7) = % 22.08/3.83 | | | | all_109_3 & member(all_46_2, all_32_7) = all_109_5 & ( ~ % 22.08/3.83 | | | | (all_109_1 = 0) | ~ (all_109_2 = 0) | ~ (all_109_3 = 0) | % 22.08/3.83 | | | | ~ (all_109_4 = 0) | ~ (all_109_5 = 0) | all_109_0 = 0) % 22.08/3.83 | | | | % 22.08/3.83 | | | | ALPHA: (180) implies: % 22.08/3.83 | | | | (181) member(all_46_2, all_32_7) = all_109_5 % 22.08/3.83 | | | | (182) member(all_46_2, all_32_7) = all_109_3 % 22.08/3.83 | | | | % 22.08/3.83 | | | | DELTA: instantiating (96) with fresh symbols all_111_0, all_111_1, % 22.08/3.83 | | | | all_111_2, all_111_3, all_111_4, all_111_5 gives: % 22.08/3.83 | | | | (183) apply(all_32_3, all_55_0, all_53_0) = all_111_0 & % 22.08/3.83 | | | | apply(all_32_4, all_46_4, all_46_2) = all_111_1 & % 22.08/3.83 | | | | member(all_55_0, all_32_6) = all_111_4 & member(all_53_0, % 22.08/3.83 | | | | all_32_6) = all_111_2 & member(all_46_2, all_32_7) = % 22.08/3.83 | | | | all_111_3 & member(all_46_4, all_32_7) = all_111_5 & ( ~ % 22.08/3.83 | | | | (all_111_1 = 0) | ~ (all_111_2 = 0) | ~ (all_111_3 = 0) | % 22.08/3.83 | | | | ~ (all_111_4 = 0) | ~ (all_111_5 = 0) | all_111_0 = 0) % 22.08/3.83 | | | | % 22.08/3.83 | | | | ALPHA: (183) implies: % 22.08/3.83 | | | | (184) member(all_46_4, all_32_7) = all_111_5 % 22.08/3.83 | | | | (185) member(all_46_2, all_32_7) = all_111_3 % 22.08/3.83 | | | | % 22.08/3.83 | | | | DELTA: instantiating (95) with fresh symbols all_113_0, all_113_1, % 22.08/3.83 | | | | all_113_2, all_113_3, all_113_4, all_113_5 gives: % 22.08/3.83 | | | | (186) apply(all_32_3, all_53_0, all_64_0) = all_113_0 & % 22.08/3.83 | | | | apply(all_32_4, all_46_2, all_46_4) = all_113_1 & % 22.08/3.83 | | | | member(all_64_0, all_32_6) = all_113_2 & member(all_53_0, % 22.08/3.83 | | | | all_32_6) = all_113_4 & member(all_46_2, all_32_7) = % 22.08/3.83 | | | | all_113_5 & member(all_46_4, all_32_7) = all_113_3 & ( ~ % 22.08/3.83 | | | | (all_113_1 = 0) | ~ (all_113_2 = 0) | ~ (all_113_3 = 0) | % 22.08/3.83 | | | | ~ (all_113_4 = 0) | ~ (all_113_5 = 0) | all_113_0 = 0) % 22.08/3.83 | | | | % 22.08/3.83 | | | | ALPHA: (186) implies: % 22.08/3.83 | | | | (187) member(all_46_4, all_32_7) = all_113_3 % 22.08/3.83 | | | | (188) member(all_46_2, all_32_7) = all_113_5 % 22.08/3.83 | | | | (189) member(all_64_0, all_32_6) = all_113_2 % 22.08/3.83 | | | | % 22.08/3.83 | | | | DELTA: instantiating (92) with fresh symbols all_115_0, all_115_1, % 22.08/3.83 | | | | all_115_2, all_115_3, all_115_4, all_115_5 gives: % 22.08/3.83 | | | | (190) apply(all_32_3, all_64_0, all_55_0) = all_115_0 & % 22.08/3.83 | | | | apply(all_32_4, all_46_4, all_46_4) = all_115_1 & % 22.08/3.83 | | | | member(all_64_0, all_32_6) = all_115_4 & member(all_55_0, % 22.08/3.83 | | | | all_32_6) = all_115_2 & member(all_46_4, all_32_7) = % 22.08/3.83 | | | | all_115_3 & member(all_46_4, all_32_7) = all_115_5 & ( ~ % 22.08/3.83 | | | | (all_115_1 = 0) | ~ (all_115_2 = 0) | ~ (all_115_3 = 0) | % 22.08/3.83 | | | | ~ (all_115_4 = 0) | ~ (all_115_5 = 0) | all_115_0 = 0) % 22.08/3.83 | | | | % 22.08/3.83 | | | | ALPHA: (190) implies: % 22.08/3.84 | | | | (191) member(all_46_4, all_32_7) = all_115_5 % 22.08/3.84 | | | | (192) member(all_46_4, all_32_7) = all_115_3 % 22.08/3.84 | | | | (193) member(all_64_0, all_32_6) = all_115_4 % 22.08/3.84 | | | | % 22.08/3.84 | | | | DELTA: instantiating (91) with fresh symbols all_117_0, all_117_1, % 22.08/3.84 | | | | all_117_2, all_117_3, all_117_4, all_117_5 gives: % 22.08/3.84 | | | | (194) apply(all_32_3, all_55_0, all_64_0) = all_117_0 & % 22.08/3.84 | | | | apply(all_32_4, all_46_4, all_46_4) = all_117_1 & % 22.08/3.84 | | | | member(all_64_0, all_32_6) = all_117_2 & member(all_55_0, % 22.08/3.84 | | | | all_32_6) = all_117_4 & member(all_46_4, all_32_7) = % 22.08/3.84 | | | | all_117_3 & member(all_46_4, all_32_7) = all_117_5 & ( ~ % 22.08/3.84 | | | | (all_117_1 = 0) | ~ (all_117_2 = 0) | ~ (all_117_3 = 0) | % 22.08/3.84 | | | | ~ (all_117_4 = 0) | ~ (all_117_5 = 0) | all_117_0 = 0) % 22.08/3.84 | | | | % 22.08/3.84 | | | | ALPHA: (194) implies: % 22.08/3.84 | | | | (195) member(all_46_4, all_32_7) = all_117_5 % 22.08/3.84 | | | | (196) member(all_46_4, all_32_7) = all_117_3 % 22.08/3.84 | | | | (197) member(all_64_0, all_32_6) = all_117_2 % 22.08/3.84 | | | | % 22.08/3.84 | | | | GROUND_INST: instantiating (5) with 0, all_87_5, all_32_7, all_46_4, % 22.08/3.84 | | | | simplifying with (37), (130) gives: % 22.08/3.84 | | | | (198) all_87_5 = 0 % 22.08/3.84 | | | | % 22.08/3.84 | | | | GROUND_INST: instantiating (5) with all_79_5, all_87_5, all_32_7, % 22.08/3.84 | | | | all_46_4, simplifying with (110), (130) gives: % 22.08/3.84 | | | | (199) all_87_5 = all_79_5 % 22.08/3.84 | | | | % 22.08/3.84 | | | | GROUND_INST: instantiating (5) with all_87_5, all_95_5, all_32_7, % 22.08/3.84 | | | | all_46_4, simplifying with (130), (147) gives: % 22.08/3.84 | | | | (200) all_95_5 = all_87_5 % 22.08/3.84 | | | | % 22.08/3.84 | | | | GROUND_INST: instantiating (5) with all_87_5, all_101_3, all_32_7, % 22.08/3.84 | | | | all_46_4, simplifying with (130), (166) gives: % 22.08/3.84 | | | | (201) all_101_3 = all_87_5 % 22.08/3.84 | | | | % 22.48/3.84 | | | | GROUND_INST: instantiating (5) with all_101_3, all_107_5, all_32_7, % 22.48/3.84 | | | | all_46_4, simplifying with (166), (176) gives: % 22.48/3.84 | | | | (202) all_107_5 = all_101_3 % 22.48/3.84 | | | | % 22.48/3.84 | | | | GROUND_INST: instantiating (5) with all_93_3, all_107_5, all_32_7, % 22.48/3.84 | | | | all_46_4, simplifying with (142), (176) gives: % 22.48/3.84 | | | | (203) all_107_5 = all_93_3 % 22.48/3.84 | | | | % 22.48/3.84 | | | | GROUND_INST: instantiating (5) with all_79_3, all_111_5, all_32_7, % 22.48/3.84 | | | | all_46_4, simplifying with (111), (184) gives: % 22.48/3.84 | | | | (204) all_111_5 = all_79_3 % 22.48/3.84 | | | | % 22.48/3.84 | | | | GROUND_INST: instantiating (5) with all_101_5, all_113_3, all_32_7, % 22.48/3.84 | | | | all_46_4, simplifying with (165), (187) gives: % 22.48/3.84 | | | | (205) all_113_3 = all_101_5 % 22.48/3.84 | | | | % 22.48/3.84 | | | | GROUND_INST: instantiating (5) with all_95_5, all_113_3, all_32_7, % 22.48/3.84 | | | | all_46_4, simplifying with (147), (187) gives: % 22.48/3.84 | | | | (206) all_113_3 = all_95_5 % 22.48/3.84 | | | | % 22.48/3.84 | | | | GROUND_INST: instantiating (5) with all_113_3, all_115_5, all_32_7, % 22.48/3.84 | | | | all_46_4, simplifying with (187), (191) gives: % 22.48/3.84 | | | | (207) all_115_5 = all_113_3 % 22.48/3.84 | | | | % 22.48/3.84 | | | | GROUND_INST: instantiating (5) with all_85_3, all_115_5, all_32_7, % 22.48/3.84 | | | | all_46_4, simplifying with (126), (191) gives: % 22.48/3.84 | | | | (208) all_115_5 = all_85_3 % 22.48/3.84 | | | | % 22.48/3.84 | | | | GROUND_INST: instantiating (5) with all_111_5, all_115_3, all_32_7, % 22.48/3.84 | | | | all_46_4, simplifying with (184), (192) gives: % 22.48/3.84 | | | | (209) all_115_3 = all_111_5 % 22.48/3.84 | | | | % 22.48/3.85 | | | | GROUND_INST: instantiating (5) with all_101_3, all_115_3, all_32_7, % 22.48/3.85 | | | | all_46_4, simplifying with (166), (192) gives: % 22.48/3.85 | | | | (210) all_115_3 = all_101_3 % 22.48/3.85 | | | | % 22.48/3.85 | | | | GROUND_INST: instantiating (5) with all_115_3, all_117_5, all_32_7, % 22.48/3.85 | | | | all_46_4, simplifying with (192), (195) gives: % 22.48/3.85 | | | | (211) all_117_5 = all_115_3 % 22.48/3.85 | | | | % 22.48/3.85 | | | | GROUND_INST: instantiating (5) with all_117_5, all_117_3, all_32_7, % 22.48/3.85 | | | | all_46_4, simplifying with (195), (196) gives: % 22.48/3.85 | | | | (212) all_117_3 = all_117_5 % 22.48/3.85 | | | | % 22.48/3.85 | | | | GROUND_INST: instantiating (5) with all_105_3, all_117_3, all_32_7, % 22.48/3.85 | | | | all_46_4, simplifying with (173), (196) gives: % 22.48/3.85 | | | | (213) all_117_3 = all_105_3 % 22.48/3.85 | | | | % 22.48/3.85 | | | | GROUND_INST: instantiating (5) with all_81_4, all_83_2, all_32_5, % 22.48/3.85 | | | | all_46_3, simplifying with (113), (121) gives: % 22.48/3.85 | | | | (214) all_83_2 = all_81_4 % 22.48/3.85 | | | | % 22.48/3.85 | | | | GROUND_INST: instantiating (5) with 0, all_97_2, all_32_5, all_46_3, % 22.48/3.85 | | | | simplifying with (38), (156) gives: % 22.48/3.85 | | | | (215) all_97_2 = 0 % 22.48/3.85 | | | | % 22.48/3.85 | | | | GROUND_INST: instantiating (5) with all_97_4, all_97_2, all_32_5, % 22.48/3.85 | | | | all_46_3, simplifying with (155), (156) gives: % 22.48/3.85 | | | | (216) all_97_2 = all_97_4 % 22.48/3.85 | | | | % 22.48/3.85 | | | | GROUND_INST: instantiating (5) with all_83_2, all_97_2, all_32_5, % 22.48/3.85 | | | | all_46_3, simplifying with (121), (156) gives: % 22.48/3.85 | | | | (217) all_97_2 = all_83_2 % 22.48/3.85 | | | | % 22.48/3.85 | | | | GROUND_INST: instantiating (5) with 0, all_89_5, all_32_7, all_46_2, % 22.48/3.85 | | | | simplifying with (39), (134) gives: % 22.48/3.85 | | | | (218) all_89_5 = 0 % 22.48/3.85 | | | | % 22.48/3.85 | | | | GROUND_INST: instantiating (5) with all_85_5, all_89_5, all_32_7, % 22.48/3.85 | | | | all_46_2, simplifying with (127), (134) gives: % 22.48/3.85 | | | | (219) all_89_5 = all_85_5 % 22.48/3.85 | | | | % 22.48/3.85 | | | | GROUND_INST: instantiating (5) with all_89_5, all_89_3, all_32_7, % 22.48/3.85 | | | | all_46_2, simplifying with (134), (135) gives: % 22.48/3.85 | | | | (220) all_89_3 = all_89_5 % 22.48/3.85 | | | | % 22.48/3.85 | | | | GROUND_INST: instantiating (5) with all_93_5, all_95_3, all_32_7, % 22.48/3.85 | | | | all_46_2, simplifying with (143), (148) gives: % 22.48/3.85 | | | | (221) all_95_3 = all_93_5 % 22.48/3.85 | | | | % 22.48/3.85 | | | | GROUND_INST: instantiating (5) with all_93_5, all_103_5, all_32_7, % 22.48/3.85 | | | | all_46_2, simplifying with (143), (168) gives: % 22.48/3.85 | | | | (222) all_103_5 = all_93_5 % 22.48/3.85 | | | | % 22.48/3.85 | | | | GROUND_INST: instantiating (5) with all_91_3, all_103_5, all_32_7, % 22.48/3.85 | | | | all_46_2, simplifying with (139), (168) gives: % 22.48/3.85 | | | | (223) all_103_5 = all_91_3 % 22.48/3.85 | | | | % 22.48/3.85 | | | | GROUND_INST: instantiating (5) with all_91_5, all_103_5, all_32_7, % 22.48/3.85 | | | | all_46_2, simplifying with (138), (168) gives: % 22.48/3.85 | | | | (224) all_103_5 = all_91_5 % 22.48/3.85 | | | | % 22.48/3.85 | | | | GROUND_INST: instantiating (5) with all_89_3, all_103_5, all_32_7, % 22.48/3.85 | | | | all_46_2, simplifying with (135), (168) gives: % 22.48/3.85 | | | | (225) all_103_5 = all_89_3 % 22.48/3.85 | | | | % 22.48/3.85 | | | | GROUND_INST: instantiating (5) with all_107_3, all_109_5, all_32_7, % 22.48/3.85 | | | | all_46_2, simplifying with (177), (181) gives: % 22.48/3.85 | | | | (226) all_109_5 = all_107_3 % 22.48/3.85 | | | | % 22.48/3.85 | | | | GROUND_INST: instantiating (5) with all_103_3, all_109_5, all_32_7, % 22.48/3.85 | | | | all_46_2, simplifying with (169), (181) gives: % 22.48/3.85 | | | | (227) all_109_5 = all_103_3 % 22.48/3.85 | | | | % 22.48/3.85 | | | | GROUND_INST: instantiating (5) with all_107_3, all_109_3, all_32_7, % 22.48/3.85 | | | | all_46_2, simplifying with (177), (182) gives: % 22.48/3.85 | | | | (228) all_109_3 = all_107_3 % 22.48/3.85 | | | | % 22.48/3.85 | | | | GROUND_INST: instantiating (5) with all_95_3, all_109_3, all_32_7, % 22.48/3.85 | | | | all_46_2, simplifying with (148), (182) gives: % 22.48/3.85 | | | | (229) all_109_3 = all_95_3 % 22.48/3.85 | | | | % 22.48/3.86 | | | | GROUND_INST: instantiating (5) with all_87_3, all_109_3, all_32_7, % 22.48/3.86 | | | | all_46_2, simplifying with (131), (182) gives: % 22.48/3.86 | | | | (230) all_109_3 = all_87_3 % 22.48/3.86 | | | | % 22.48/3.86 | | | | GROUND_INST: instantiating (5) with all_111_3, all_113_5, all_32_7, % 22.48/3.86 | | | | all_46_2, simplifying with (185), (188) gives: % 22.48/3.86 | | | | (231) all_113_5 = all_111_3 % 22.48/3.86 | | | | % 22.48/3.86 | | | | GROUND_INST: instantiating (5) with all_109_3, all_113_5, all_32_7, % 22.48/3.86 | | | | all_46_2, simplifying with (182), (188) gives: % 22.48/3.86 | | | | (232) all_113_5 = all_109_3 % 22.48/3.86 | | | | % 22.48/3.86 | | | | GROUND_INST: instantiating (5) with all_105_5, all_113_5, all_32_7, % 22.48/3.86 | | | | all_46_2, simplifying with (174), (188) gives: % 22.48/3.86 | | | | (233) all_113_5 = all_105_5 % 22.48/3.86 | | | | % 22.48/3.86 | | | | GROUND_INST: instantiating (5) with 0, all_83_4, all_32_5, all_46_1, % 22.48/3.86 | | | | simplifying with (40), (122) gives: % 22.48/3.86 | | | | (234) all_83_4 = 0 % 22.48/3.86 | | | | % 22.48/3.86 | | | | GROUND_INST: instantiating (5) with all_83_4, all_99_4, all_32_5, % 22.48/3.86 | | | | all_46_1, simplifying with (122), (160) gives: % 22.48/3.86 | | | | (235) all_99_4 = all_83_4 % 22.48/3.86 | | | | % 22.48/3.86 | | | | GROUND_INST: instantiating (5) with all_99_4, all_99_2, all_32_5, % 22.48/3.86 | | | | all_46_1, simplifying with (160), (161) gives: % 22.48/3.86 | | | | (236) all_99_2 = all_99_4 % 22.48/3.86 | | | | % 22.48/3.86 | | | | GROUND_INST: instantiating (5) with all_81_2, all_99_2, all_32_5, % 22.48/3.86 | | | | all_46_1, simplifying with (114), (161) gives: % 22.48/3.86 | | | | (237) all_99_2 = all_81_2 % 22.48/3.86 | | | | % 22.48/3.86 | | | | GROUND_INST: instantiating (5) with all_87_2, all_91_2, all_32_6, % 22.48/3.86 | | | | all_60_0, simplifying with (132), (140) gives: % 22.48/3.86 | | | | (238) all_91_2 = all_87_2 % 22.48/3.86 | | | | % 22.48/3.86 | | | | GROUND_INST: instantiating (5) with all_91_2, all_93_4, all_32_6, % 22.48/3.86 | | | | all_60_0, simplifying with (140), (144) gives: % 22.48/3.86 | | | | (239) all_93_4 = all_91_2 % 22.48/3.86 | | | | % 22.48/3.86 | | | | GROUND_INST: instantiating (5) with all_81_3, all_93_4, all_32_6, % 22.48/3.86 | | | | all_60_0, simplifying with (115), (144) gives: % 22.48/3.86 | | | | (240) all_93_4 = all_81_3 % 22.48/3.86 | | | | % 22.48/3.86 | | | | GROUND_INST: instantiating (5) with all_91_2, all_99_5, all_32_6, % 22.48/3.86 | | | | all_60_0, simplifying with (140), (162) gives: % 22.48/3.86 | | | | (241) all_99_5 = all_91_2 % 22.48/3.86 | | | | % 22.48/3.86 | | | | GROUND_INST: instantiating (5) with all_89_4, all_99_5, all_32_6, % 22.48/3.86 | | | | all_60_0, simplifying with (136), (162) gives: % 22.48/3.86 | | | | (242) all_99_5 = all_89_4 % 22.48/3.86 | | | | % 22.48/3.86 | | | | GROUND_INST: instantiating (5) with 0, all_99_3, all_32_6, all_60_0, % 22.48/3.86 | | | | simplifying with (69), (163) gives: % 22.48/3.86 | | | | (243) all_99_3 = 0 % 22.48/3.86 | | | | % 22.48/3.86 | | | | GROUND_INST: instantiating (5) with all_87_2, all_99_3, all_32_6, % 22.48/3.86 | | | | all_60_0, simplifying with (132), (163) gives: % 22.48/3.86 | | | | (244) all_99_3 = all_87_2 % 22.48/3.86 | | | | % 22.48/3.86 | | | | GROUND_INST: instantiating (5) with all_95_2, all_103_4, all_32_6, % 22.48/3.86 | | | | all_60_0, simplifying with (149), (170) gives: % 22.48/3.86 | | | | (245) all_103_4 = all_95_2 % 22.48/3.86 | | | | % 22.48/3.86 | | | | GROUND_INST: instantiating (5) with all_87_2, all_103_4, all_32_6, % 22.48/3.86 | | | | all_60_0, simplifying with (132), (170) gives: % 22.48/3.86 | | | | (246) all_103_4 = all_87_2 % 22.48/3.86 | | | | % 22.48/3.86 | | | | GROUND_INST: instantiating (5) with all_83_5, all_103_4, all_32_6, % 22.48/3.86 | | | | all_60_0, simplifying with (123), (170) gives: % 22.48/3.86 | | | | (247) all_103_4 = all_83_5 % 22.48/3.86 | | | | % 22.48/3.86 | | | | GROUND_INST: instantiating (5) with all_99_3, all_103_2, all_32_6, % 22.48/3.86 | | | | all_60_0, simplifying with (163), (171) gives: % 22.48/3.86 | | | | (248) all_103_2 = all_99_3 % 22.48/3.86 | | | | % 22.48/3.86 | | | | GROUND_INST: instantiating (5) with all_85_4, all_103_2, all_32_6, % 22.48/3.86 | | | | all_60_0, simplifying with (128), (171) gives: % 22.48/3.86 | | | | (249) all_103_2 = all_85_4 % 22.48/3.86 | | | | % 22.48/3.86 | | | | GROUND_INST: instantiating (5) with all_81_5, all_83_3, all_32_6, % 22.48/3.86 | | | | all_64_0, simplifying with (116), (124) gives: % 22.48/3.86 | | | | (250) all_83_3 = all_81_5 % 22.48/3.86 | | | | % 22.48/3.86 | | | | GROUND_INST: instantiating (5) with all_83_3, all_93_2, all_32_6, % 22.48/3.86 | | | | all_64_0, simplifying with (124), (145) gives: % 22.48/3.86 | | | | (251) all_93_2 = all_83_3 % 22.48/3.86 | | | | % 22.48/3.86 | | | | GROUND_INST: instantiating (5) with all_95_4, all_97_5, all_32_6, % 22.48/3.86 | | | | all_64_0, simplifying with (150), (157) gives: % 22.48/3.86 | | | | (252) all_97_5 = all_95_4 % 22.48/3.86 | | | | % 22.48/3.86 | | | | GROUND_INST: instantiating (5) with all_93_2, all_97_5, all_32_6, % 22.48/3.86 | | | | all_64_0, simplifying with (145), (157) gives: % 22.48/3.86 | | | | (253) all_97_5 = all_93_2 % 22.48/3.86 | | | | % 22.48/3.86 | | | | GROUND_INST: instantiating (5) with 0, all_107_4, all_32_6, all_64_0, % 22.48/3.86 | | | | simplifying with (86), (178) gives: % 22.48/3.87 | | | | (254) all_107_4 = 0 % 22.48/3.87 | | | | % 22.48/3.87 | | | | GROUND_INST: instantiating (5) with all_97_5, all_107_4, all_32_6, % 22.48/3.87 | | | | all_64_0, simplifying with (157), (178) gives: % 22.48/3.87 | | | | (255) all_107_4 = all_97_5 % 22.48/3.87 | | | | % 22.48/3.87 | | | | GROUND_INST: instantiating (5) with all_107_4, all_113_2, all_32_6, % 22.48/3.87 | | | | all_64_0, simplifying with (178), (189) gives: % 22.48/3.87 | | | | (256) all_113_2 = all_107_4 % 22.48/3.87 | | | | % 22.48/3.87 | | | | GROUND_INST: instantiating (5) with all_113_2, all_115_4, all_32_6, % 22.48/3.87 | | | | all_64_0, simplifying with (189), (193) gives: % 22.48/3.87 | | | | (257) all_115_4 = all_113_2 % 22.48/3.87 | | | | % 22.48/3.87 | | | | GROUND_INST: instantiating (5) with all_115_4, all_117_2, all_32_6, % 22.48/3.87 | | | | all_64_0, simplifying with (193), (197) gives: % 22.48/3.87 | | | | (258) all_117_2 = all_115_4 % 22.48/3.87 | | | | % 22.48/3.87 | | | | GROUND_INST: instantiating (5) with all_97_3, all_117_2, all_32_6, % 22.48/3.87 | | | | all_64_0, simplifying with (158), (197) gives: % 22.48/3.87 | | | | (259) all_117_2 = all_97_3 % 22.48/3.87 | | | | % 22.48/3.87 | | | | GROUND_INST: instantiating (6) with 0, all_107_1, all_46_2, all_46_4, % 22.48/3.87 | | | | all_32_4, simplifying with (41), (179) gives: % 22.48/3.87 | | | | (260) all_107_1 = 0 % 22.48/3.87 | | | | % 22.48/3.87 | | | | GROUND_INST: instantiating (6) with all_95_1, all_107_1, all_46_2, % 22.48/3.87 | | | | all_46_4, all_32_4, simplifying with (151), (179) gives: % 22.48/3.87 | | | | (261) all_107_1 = all_95_1 % 22.48/3.87 | | | | % 22.48/3.87 | | | | GROUND_INST: instantiating (6) with all_81_1, all_95_0, all_60_0, % 22.48/3.87 | | | | all_64_0, all_32_3, simplifying with (117), (152) gives: % 22.48/3.87 | | | | (262) all_95_0 = all_81_1 % 22.48/3.87 | | | | % 22.48/3.87 | | | | GROUND_INST: instantiating (6) with all_46_0, all_81_0, all_46_3, % 22.48/3.87 | | | | all_46_1, all_32_2, simplifying with (42), (118) gives: % 22.48/3.87 | | | | (263) all_81_0 = all_46_0 % 22.48/3.87 | | | | % 22.48/3.87 | | | | COMBINE_EQS: (258), (259) imply: % 22.48/3.87 | | | | (264) all_115_4 = all_97_3 % 22.48/3.87 | | | | % 22.48/3.87 | | | | SIMP: (264) implies: % 22.48/3.87 | | | | (265) all_115_4 = all_97_3 % 22.48/3.87 | | | | % 22.48/3.87 | | | | COMBINE_EQS: (212), (213) imply: % 22.48/3.87 | | | | (266) all_117_5 = all_105_3 % 22.48/3.87 | | | | % 22.48/3.87 | | | | SIMP: (266) implies: % 22.48/3.87 | | | | (267) all_117_5 = all_105_3 % 22.48/3.87 | | | | % 22.48/3.87 | | | | COMBINE_EQS: (211), (267) imply: % 22.48/3.87 | | | | (268) all_115_3 = all_105_3 % 22.48/3.87 | | | | % 22.48/3.87 | | | | SIMP: (268) implies: % 22.48/3.87 | | | | (269) all_115_3 = all_105_3 % 22.48/3.87 | | | | % 22.48/3.87 | | | | COMBINE_EQS: (210), (269) imply: % 22.48/3.87 | | | | (270) all_105_3 = all_101_3 % 22.48/3.87 | | | | % 22.48/3.87 | | | | COMBINE_EQS: (209), (269) imply: % 22.48/3.87 | | | | (271) all_111_5 = all_105_3 % 22.48/3.87 | | | | % 22.48/3.87 | | | | SIMP: (271) implies: % 22.48/3.87 | | | | (272) all_111_5 = all_105_3 % 22.48/3.87 | | | | % 22.48/3.87 | | | | COMBINE_EQS: (257), (265) imply: % 22.48/3.87 | | | | (273) all_113_2 = all_97_3 % 22.48/3.87 | | | | % 22.48/3.87 | | | | SIMP: (273) implies: % 22.48/3.87 | | | | (274) all_113_2 = all_97_3 % 22.48/3.87 | | | | % 22.48/3.87 | | | | COMBINE_EQS: (207), (208) imply: % 22.48/3.87 | | | | (275) all_113_3 = all_85_3 % 22.48/3.87 | | | | % 22.48/3.87 | | | | SIMP: (275) implies: % 22.48/3.87 | | | | (276) all_113_3 = all_85_3 % 22.48/3.87 | | | | % 22.48/3.87 | | | | COMBINE_EQS: (256), (274) imply: % 22.48/3.87 | | | | (277) all_107_4 = all_97_3 % 22.48/3.87 | | | | % 22.48/3.87 | | | | SIMP: (277) implies: % 22.48/3.87 | | | | (278) all_107_4 = all_97_3 % 22.48/3.87 | | | | % 22.48/3.87 | | | | COMBINE_EQS: (205), (206) imply: % 22.48/3.87 | | | | (279) all_101_5 = all_95_5 % 22.48/3.87 | | | | % 22.48/3.87 | | | | COMBINE_EQS: (205), (276) imply: % 22.48/3.87 | | | | (280) all_101_5 = all_85_3 % 22.48/3.87 | | | | % 22.48/3.87 | | | | COMBINE_EQS: (231), (232) imply: % 22.48/3.87 | | | | (281) all_111_3 = all_109_3 % 22.48/3.87 | | | | % 22.48/3.87 | | | | COMBINE_EQS: (231), (233) imply: % 22.48/3.87 | | | | (282) all_111_3 = all_105_5 % 22.48/3.87 | | | | % 22.48/3.87 | | | | COMBINE_EQS: (281), (282) imply: % 22.48/3.87 | | | | (283) all_109_3 = all_105_5 % 22.48/3.87 | | | | % 22.48/3.87 | | | | SIMP: (283) implies: % 22.48/3.87 | | | | (284) all_109_3 = all_105_5 % 22.48/3.87 | | | | % 22.48/3.87 | | | | COMBINE_EQS: (204), (272) imply: % 22.48/3.87 | | | | (285) all_105_3 = all_79_3 % 22.48/3.87 | | | | % 22.48/3.87 | | | | SIMP: (285) implies: % 22.48/3.87 | | | | (286) all_105_3 = all_79_3 % 22.48/3.87 | | | | % 22.48/3.87 | | | | COMBINE_EQS: (230), (284) imply: % 22.48/3.88 | | | | (287) all_105_5 = all_87_3 % 22.48/3.88 | | | | % 22.48/3.88 | | | | COMBINE_EQS: (228), (284) imply: % 22.48/3.88 | | | | (288) all_107_3 = all_105_5 % 22.48/3.88 | | | | % 22.48/3.88 | | | | SIMP: (288) implies: % 22.48/3.88 | | | | (289) all_107_3 = all_105_5 % 22.48/3.88 | | | | % 22.48/3.88 | | | | COMBINE_EQS: (229), (284) imply: % 22.48/3.88 | | | | (290) all_105_5 = all_95_3 % 22.48/3.88 | | | | % 22.48/3.88 | | | | COMBINE_EQS: (226), (227) imply: % 22.48/3.88 | | | | (291) all_107_3 = all_103_3 % 22.48/3.88 | | | | % 22.48/3.88 | | | | SIMP: (291) implies: % 22.48/3.88 | | | | (292) all_107_3 = all_103_3 % 22.48/3.88 | | | | % 22.48/3.88 | | | | COMBINE_EQS: (260), (261) imply: % 22.48/3.88 | | | | (293) all_95_1 = 0 % 22.48/3.88 | | | | % 22.48/3.88 | | | | COMBINE_EQS: (289), (292) imply: % 22.48/3.88 | | | | (294) all_105_5 = all_103_3 % 22.48/3.88 | | | | % 22.48/3.88 | | | | SIMP: (294) implies: % 22.48/3.88 | | | | (295) all_105_5 = all_103_3 % 22.48/3.88 | | | | % 22.48/3.88 | | | | COMBINE_EQS: (255), (278) imply: % 22.48/3.88 | | | | (296) all_97_3 = all_97_5 % 22.48/3.88 | | | | % 22.48/3.88 | | | | COMBINE_EQS: (254), (278) imply: % 22.48/3.88 | | | | (297) all_97_3 = 0 % 22.48/3.88 | | | | % 22.48/3.88 | | | | COMBINE_EQS: (202), (203) imply: % 22.48/3.88 | | | | (298) all_101_3 = all_93_3 % 22.48/3.88 | | | | % 22.48/3.88 | | | | SIMP: (298) implies: % 22.48/3.88 | | | | (299) all_101_3 = all_93_3 % 22.48/3.88 | | | | % 22.48/3.88 | | | | COMBINE_EQS: (270), (286) imply: % 22.48/3.88 | | | | (300) all_101_3 = all_79_3 % 22.48/3.88 | | | | % 22.48/3.88 | | | | SIMP: (300) implies: % 22.48/3.88 | | | | (301) all_101_3 = all_79_3 % 22.48/3.88 | | | | % 22.48/3.88 | | | | COMBINE_EQS: (290), (295) imply: % 22.48/3.88 | | | | (302) all_103_3 = all_95_3 % 22.48/3.88 | | | | % 22.48/3.88 | | | | COMBINE_EQS: (287), (295) imply: % 22.48/3.88 | | | | (303) all_103_3 = all_87_3 % 22.48/3.88 | | | | % 22.48/3.88 | | | | COMBINE_EQS: (248), (249) imply: % 22.48/3.88 | | | | (304) all_99_3 = all_85_4 % 22.48/3.88 | | | | % 22.48/3.88 | | | | SIMP: (304) implies: % 22.48/3.88 | | | | (305) all_99_3 = all_85_4 % 22.48/3.88 | | | | % 22.48/3.88 | | | | COMBINE_EQS: (302), (303) imply: % 22.48/3.88 | | | | (306) all_95_3 = all_87_3 % 22.48/3.88 | | | | % 22.48/3.88 | | | | SIMP: (306) implies: % 22.48/3.88 | | | | (307) all_95_3 = all_87_3 % 22.48/3.88 | | | | % 22.48/3.88 | | | | COMBINE_EQS: (245), (246) imply: % 22.48/3.88 | | | | (308) all_95_2 = all_87_2 % 22.48/3.88 | | | | % 22.48/3.88 | | | | COMBINE_EQS: (245), (247) imply: % 22.62/3.88 | | | | (309) all_95_2 = all_83_5 % 22.62/3.88 | | | | % 22.62/3.88 | | | | COMBINE_EQS: (222), (223) imply: % 22.62/3.88 | | | | (310) all_93_5 = all_91_3 % 22.62/3.88 | | | | % 22.62/3.88 | | | | SIMP: (310) implies: % 22.62/3.88 | | | | (311) all_93_5 = all_91_3 % 22.62/3.88 | | | | % 22.62/3.88 | | | | COMBINE_EQS: (223), (225) imply: % 22.62/3.88 | | | | (312) all_91_3 = all_89_3 % 22.62/3.88 | | | | % 22.62/3.88 | | | | COMBINE_EQS: (223), (224) imply: % 22.62/3.88 | | | | (313) all_91_3 = all_91_5 % 22.62/3.88 | | | | % 22.62/3.88 | | | | COMBINE_EQS: (201), (299) imply: % 22.62/3.88 | | | | (314) all_93_3 = all_87_5 % 22.62/3.88 | | | | % 22.62/3.88 | | | | COMBINE_EQS: (299), (301) imply: % 22.62/3.88 | | | | (315) all_93_3 = all_79_3 % 22.62/3.88 | | | | % 22.62/3.88 | | | | COMBINE_EQS: (279), (280) imply: % 22.62/3.88 | | | | (316) all_95_5 = all_85_3 % 22.62/3.88 | | | | % 22.62/3.88 | | | | SIMP: (316) implies: % 22.62/3.88 | | | | (317) all_95_5 = all_85_3 % 22.62/3.88 | | | | % 22.62/3.88 | | | | COMBINE_EQS: (236), (237) imply: % 22.62/3.88 | | | | (318) all_99_4 = all_81_2 % 22.62/3.88 | | | | % 22.62/3.88 | | | | SIMP: (318) implies: % 22.62/3.88 | | | | (319) all_99_4 = all_81_2 % 22.62/3.88 | | | | % 22.62/3.88 | | | | COMBINE_EQS: (243), (305) imply: % 22.62/3.88 | | | | (320) all_85_4 = 0 % 22.62/3.88 | | | | % 22.62/3.88 | | | | COMBINE_EQS: (244), (305) imply: % 22.62/3.88 | | | | (321) all_87_2 = all_85_4 % 22.62/3.88 | | | | % 22.62/3.88 | | | | SIMP: (321) implies: % 22.62/3.88 | | | | (322) all_87_2 = all_85_4 % 22.62/3.88 | | | | % 22.62/3.88 | | | | COMBINE_EQS: (235), (319) imply: % 22.62/3.88 | | | | (323) all_83_4 = all_81_2 % 22.62/3.88 | | | | % 22.62/3.88 | | | | SIMP: (323) implies: % 22.62/3.88 | | | | (324) all_83_4 = all_81_2 % 22.62/3.88 | | | | % 22.62/3.88 | | | | COMBINE_EQS: (241), (242) imply: % 22.62/3.88 | | | | (325) all_91_2 = all_89_4 % 22.62/3.88 | | | | % 22.62/3.88 | | | | SIMP: (325) implies: % 22.62/3.88 | | | | (326) all_91_2 = all_89_4 % 22.62/3.88 | | | | % 22.62/3.88 | | | | COMBINE_EQS: (215), (216) imply: % 22.62/3.88 | | | | (327) all_97_4 = 0 % 22.62/3.88 | | | | % 22.62/3.88 | | | | COMBINE_EQS: (216), (217) imply: % 22.62/3.88 | | | | (328) all_97_4 = all_83_2 % 22.62/3.88 | | | | % 22.62/3.88 | | | | COMBINE_EQS: (296), (297) imply: % 22.62/3.88 | | | | (329) all_97_5 = 0 % 22.62/3.88 | | | | % 22.62/3.88 | | | | SIMP: (329) implies: % 22.62/3.88 | | | | (330) all_97_5 = 0 % 22.62/3.88 | | | | % 22.62/3.88 | | | | COMBINE_EQS: (327), (328) imply: % 22.62/3.88 | | | | (331) all_83_2 = 0 % 22.62/3.88 | | | | % 22.62/3.88 | | | | SIMP: (331) implies: % 22.62/3.88 | | | | (332) all_83_2 = 0 % 22.62/3.88 | | | | % 22.62/3.88 | | | | COMBINE_EQS: (252), (330) imply: % 22.62/3.88 | | | | (333) all_95_4 = 0 % 22.62/3.88 | | | | % 22.62/3.88 | | | | COMBINE_EQS: (252), (253) imply: % 22.62/3.88 | | | | (334) all_95_4 = all_93_2 % 22.62/3.88 | | | | % 22.62/3.88 | | | | COMBINE_EQS: (308), (309) imply: % 22.62/3.89 | | | | (335) all_87_2 = all_83_5 % 22.62/3.89 | | | | % 22.62/3.89 | | | | SIMP: (335) implies: % 22.62/3.89 | | | | (336) all_87_2 = all_83_5 % 22.62/3.89 | | | | % 22.62/3.89 | | | | COMBINE_EQS: (221), (307) imply: % 22.62/3.89 | | | | (337) all_93_5 = all_87_3 % 22.62/3.89 | | | | % 22.62/3.89 | | | | SIMP: (337) implies: % 22.62/3.89 | | | | (338) all_93_5 = all_87_3 % 22.62/3.89 | | | | % 22.62/3.89 | | | | COMBINE_EQS: (333), (334) imply: % 22.62/3.89 | | | | (339) all_93_2 = 0 % 22.62/3.89 | | | | % 22.62/3.89 | | | | SIMP: (339) implies: % 22.62/3.89 | | | | (340) all_93_2 = 0 % 22.62/3.89 | | | | % 22.62/3.89 | | | | COMBINE_EQS: (200), (317) imply: % 22.62/3.89 | | | | (341) all_87_5 = all_85_3 % 22.62/3.89 | | | | % 22.62/3.89 | | | | SIMP: (341) implies: % 22.62/3.89 | | | | (342) all_87_5 = all_85_3 % 22.62/3.89 | | | | % 22.62/3.89 | | | | COMBINE_EQS: (251), (340) imply: % 22.62/3.89 | | | | (343) all_83_3 = 0 % 22.62/3.89 | | | | % 22.62/3.89 | | | | SIMP: (343) implies: % 22.62/3.89 | | | | (344) all_83_3 = 0 % 22.62/3.89 | | | | % 22.62/3.89 | | | | COMBINE_EQS: (314), (315) imply: % 22.62/3.89 | | | | (345) all_87_5 = all_79_3 % 22.62/3.89 | | | | % 22.62/3.89 | | | | SIMP: (345) implies: % 22.62/3.89 | | | | (346) all_87_5 = all_79_3 % 22.62/3.89 | | | | % 22.62/3.89 | | | | COMBINE_EQS: (239), (240) imply: % 22.62/3.89 | | | | (347) all_91_2 = all_81_3 % 22.62/3.89 | | | | % 22.62/3.89 | | | | SIMP: (347) implies: % 22.62/3.89 | | | | (348) all_91_2 = all_81_3 % 22.62/3.89 | | | | % 22.62/3.89 | | | | COMBINE_EQS: (311), (338) imply: % 22.62/3.89 | | | | (349) all_91_3 = all_87_3 % 22.62/3.89 | | | | % 22.62/3.89 | | | | SIMP: (349) implies: % 22.62/3.89 | | | | (350) all_91_3 = all_87_3 % 22.62/3.89 | | | | % 22.62/3.89 | | | | COMBINE_EQS: (326), (348) imply: % 22.62/3.89 | | | | (351) all_89_4 = all_81_3 % 22.62/3.89 | | | | % 22.62/3.89 | | | | COMBINE_EQS: (238), (326) imply: % 22.62/3.89 | | | | (352) all_89_4 = all_87_2 % 22.62/3.89 | | | | % 22.62/3.89 | | | | COMBINE_EQS: (312), (313) imply: % 22.62/3.89 | | | | (353) all_91_5 = all_89_3 % 22.62/3.89 | | | | % 22.62/3.89 | | | | COMBINE_EQS: (313), (350) imply: % 22.62/3.89 | | | | (354) all_91_5 = all_87_3 % 22.62/3.89 | | | | % 22.62/3.89 | | | | COMBINE_EQS: (353), (354) imply: % 22.62/3.89 | | | | (355) all_89_3 = all_87_3 % 22.62/3.89 | | | | % 22.62/3.89 | | | | SIMP: (355) implies: % 22.62/3.89 | | | | (356) all_89_3 = all_87_3 % 22.62/3.89 | | | | % 22.62/3.89 | | | | COMBINE_EQS: (220), (356) imply: % 22.62/3.89 | | | | (357) all_89_5 = all_87_3 % 22.62/3.89 | | | | % 22.62/3.89 | | | | SIMP: (357) implies: % 22.62/3.89 | | | | (358) all_89_5 = all_87_3 % 22.62/3.89 | | | | % 22.62/3.89 | | | | COMBINE_EQS: (351), (352) imply: % 22.62/3.89 | | | | (359) all_87_2 = all_81_3 % 22.62/3.89 | | | | % 22.62/3.89 | | | | SIMP: (359) implies: % 22.62/3.89 | | | | (360) all_87_2 = all_81_3 % 22.62/3.89 | | | | % 22.62/3.89 | | | | COMBINE_EQS: (219), (358) imply: % 22.62/3.89 | | | | (361) all_87_3 = all_85_5 % 22.62/3.89 | | | | % 22.62/3.89 | | | | COMBINE_EQS: (218), (358) imply: % 22.62/3.89 | | | | (362) all_87_3 = 0 % 22.62/3.89 | | | | % 22.62/3.89 | | | | COMBINE_EQS: (322), (336) imply: % 22.62/3.89 | | | | (363) all_85_4 = all_83_5 % 22.62/3.89 | | | | % 22.62/3.89 | | | | SIMP: (363) implies: % 22.62/3.89 | | | | (364) all_85_4 = all_83_5 % 22.62/3.89 | | | | % 22.62/3.89 | | | | COMBINE_EQS: (336), (360) imply: % 22.62/3.89 | | | | (365) all_83_5 = all_81_3 % 22.62/3.89 | | | | % 22.62/3.89 | | | | COMBINE_EQS: (361), (362) imply: % 22.62/3.89 | | | | (366) all_85_5 = 0 % 22.62/3.89 | | | | % 22.62/3.89 | | | | COMBINE_EQS: (198), (342) imply: % 22.62/3.89 | | | | (367) all_85_3 = 0 % 22.62/3.89 | | | | % 22.62/3.89 | | | | COMBINE_EQS: (199), (342) imply: % 22.62/3.89 | | | | (368) all_85_3 = all_79_5 % 22.62/3.89 | | | | % 22.62/3.89 | | | | COMBINE_EQS: (342), (346) imply: % 22.62/3.89 | | | | (369) all_85_3 = all_79_3 % 22.62/3.89 | | | | % 22.62/3.89 | | | | COMBINE_EQS: (367), (369) imply: % 22.62/3.89 | | | | (370) all_79_3 = 0 % 22.62/3.89 | | | | % 22.62/3.89 | | | | COMBINE_EQS: (368), (369) imply: % 22.62/3.89 | | | | (371) all_79_3 = all_79_5 % 22.62/3.89 | | | | % 22.62/3.89 | | | | COMBINE_EQS: (320), (364) imply: % 22.62/3.89 | | | | (372) all_83_5 = 0 % 22.62/3.89 | | | | % 22.62/3.89 | | | | SIMP: (372) implies: % 22.62/3.89 | | | | (373) all_83_5 = 0 % 22.62/3.89 | | | | % 22.62/3.89 | | | | COMBINE_EQS: (214), (332) imply: % 22.62/3.89 | | | | (374) all_81_4 = 0 % 22.62/3.89 | | | | % 22.62/3.89 | | | | SIMP: (374) implies: % 22.62/3.89 | | | | (375) all_81_4 = 0 % 22.62/3.89 | | | | % 22.62/3.89 | | | | COMBINE_EQS: (250), (344) imply: % 22.62/3.89 | | | | (376) all_81_5 = 0 % 22.62/3.89 | | | | % 22.62/3.89 | | | | SIMP: (376) implies: % 22.62/3.89 | | | | (377) all_81_5 = 0 % 22.62/3.89 | | | | % 22.62/3.89 | | | | COMBINE_EQS: (234), (324) imply: % 22.62/3.89 | | | | (378) all_81_2 = 0 % 22.62/3.89 | | | | % 22.62/3.89 | | | | COMBINE_EQS: (365), (373) imply: % 22.62/3.89 | | | | (379) all_81_3 = 0 % 22.62/3.89 | | | | % 22.62/3.89 | | | | COMBINE_EQS: (370), (371) imply: % 22.62/3.89 | | | | (380) all_79_5 = 0 % 22.62/3.89 | | | | % 22.62/3.89 | | | | COMBINE_EQS: (317), (367) imply: % 22.62/3.89 | | | | (381) all_95_5 = 0 % 22.62/3.89 | | | | % 22.62/3.89 | | | | COMBINE_EQS: (307), (362) imply: % 22.62/3.89 | | | | (382) all_95_3 = 0 % 22.62/3.89 | | | | % 22.62/3.89 | | | | COMBINE_EQS: (309), (373) imply: % 22.62/3.90 | | | | (383) all_95_2 = 0 % 22.62/3.90 | | | | % 22.62/3.90 | | | | BETA: splitting (119) gives: % 22.62/3.90 | | | | % 22.62/3.90 | | | | Case 1: % 22.62/3.90 | | | | | % 22.62/3.90 | | | | | (384) ~ (all_81_1 = 0) % 22.62/3.90 | | | | | % 22.62/3.90 | | | | | BETA: splitting (153) gives: % 22.62/3.90 | | | | | % 22.62/3.90 | | | | | Case 1: % 22.62/3.90 | | | | | | % 22.62/3.90 | | | | | | (385) ~ (all_95_1 = 0) % 22.62/3.90 | | | | | | % 22.62/3.90 | | | | | | REDUCE: (293), (385) imply: % 22.62/3.90 | | | | | | (386) $false % 22.62/3.90 | | | | | | % 22.62/3.90 | | | | | | CLOSE: (386) is inconsistent. % 22.62/3.90 | | | | | | % 22.62/3.90 | | | | | Case 2: % 22.62/3.90 | | | | | | % 22.62/3.90 | | | | | | (387) ~ (all_95_2 = 0) | ~ (all_95_3 = 0) | ~ (all_95_4 = 0) | % 22.62/3.90 | | | | | | ~ (all_95_5 = 0) | all_95_0 = 0 % 22.62/3.90 | | | | | | % 22.62/3.90 | | | | | | BETA: splitting (387) gives: % 22.62/3.90 | | | | | | % 22.62/3.90 | | | | | | Case 1: % 22.62/3.90 | | | | | | | % 22.62/3.90 | | | | | | | (388) ~ (all_95_2 = 0) % 22.62/3.90 | | | | | | | % 22.62/3.90 | | | | | | | REDUCE: (383), (388) imply: % 22.62/3.90 | | | | | | | (389) $false % 22.62/3.90 | | | | | | | % 22.62/3.90 | | | | | | | CLOSE: (389) is inconsistent. % 22.62/3.90 | | | | | | | % 22.62/3.90 | | | | | | Case 2: % 22.62/3.90 | | | | | | | % 22.62/3.90 | | | | | | | (390) ~ (all_95_3 = 0) | ~ (all_95_4 = 0) | ~ (all_95_5 = 0) % 22.62/3.90 | | | | | | | | all_95_0 = 0 % 22.62/3.90 | | | | | | | % 22.62/3.90 | | | | | | | BETA: splitting (390) gives: % 22.62/3.90 | | | | | | | % 22.62/3.90 | | | | | | | Case 1: % 22.62/3.90 | | | | | | | | % 22.62/3.90 | | | | | | | | (391) ~ (all_95_3 = 0) % 22.62/3.90 | | | | | | | | % 22.62/3.90 | | | | | | | | REDUCE: (382), (391) imply: % 22.62/3.90 | | | | | | | | (392) $false % 22.62/3.90 | | | | | | | | % 22.62/3.90 | | | | | | | | CLOSE: (392) is inconsistent. % 22.62/3.90 | | | | | | | | % 22.62/3.90 | | | | | | | Case 2: % 22.62/3.90 | | | | | | | | % 22.62/3.90 | | | | | | | | (393) ~ (all_95_4 = 0) | ~ (all_95_5 = 0) | all_95_0 = 0 % 22.62/3.90 | | | | | | | | % 22.62/3.90 | | | | | | | | BETA: splitting (393) gives: % 22.62/3.90 | | | | | | | | % 22.62/3.90 | | | | | | | | Case 1: % 22.62/3.90 | | | | | | | | | % 22.62/3.90 | | | | | | | | | (394) ~ (all_95_4 = 0) % 22.62/3.90 | | | | | | | | | % 22.62/3.90 | | | | | | | | | REDUCE: (333), (394) imply: % 22.62/3.90 | | | | | | | | | (395) $false % 22.62/3.90 | | | | | | | | | % 22.62/3.90 | | | | | | | | | CLOSE: (395) is inconsistent. % 22.62/3.90 | | | | | | | | | % 22.62/3.90 | | | | | | | | Case 2: % 22.62/3.90 | | | | | | | | | % 22.62/3.90 | | | | | | | | | (396) ~ (all_95_5 = 0) | all_95_0 = 0 % 22.62/3.90 | | | | | | | | | % 22.62/3.90 | | | | | | | | | BETA: splitting (396) gives: % 22.62/3.90 | | | | | | | | | % 22.62/3.90 | | | | | | | | | Case 1: % 22.62/3.90 | | | | | | | | | | % 22.62/3.90 | | | | | | | | | | (397) ~ (all_95_5 = 0) % 22.62/3.90 | | | | | | | | | | % 22.62/3.90 | | | | | | | | | | REDUCE: (381), (397) imply: % 22.62/3.90 | | | | | | | | | | (398) $false % 22.62/3.90 | | | | | | | | | | % 22.62/3.90 | | | | | | | | | | CLOSE: (398) is inconsistent. % 22.62/3.90 | | | | | | | | | | % 22.62/3.90 | | | | | | | | | Case 2: % 22.62/3.90 | | | | | | | | | | % 22.62/3.90 | | | | | | | | | | (399) all_95_0 = 0 % 22.62/3.90 | | | | | | | | | | % 22.62/3.90 | | | | | | | | | | COMBINE_EQS: (262), (399) imply: % 22.62/3.90 | | | | | | | | | | (400) all_81_1 = 0 % 22.62/3.90 | | | | | | | | | | % 22.62/3.90 | | | | | | | | | | SIMP: (400) implies: % 22.62/3.90 | | | | | | | | | | (401) all_81_1 = 0 % 22.62/3.90 | | | | | | | | | | % 22.62/3.90 | | | | | | | | | | REDUCE: (384), (401) imply: % 22.62/3.90 | | | | | | | | | | (402) $false % 22.62/3.90 | | | | | | | | | | % 22.62/3.90 | | | | | | | | | | CLOSE: (402) is inconsistent. % 22.62/3.90 | | | | | | | | | | % 22.62/3.90 | | | | | | | | | End of split % 22.62/3.90 | | | | | | | | | % 22.62/3.90 | | | | | | | | End of split % 22.62/3.90 | | | | | | | | % 22.62/3.90 | | | | | | | End of split % 22.62/3.90 | | | | | | | % 22.62/3.90 | | | | | | End of split % 22.62/3.90 | | | | | | % 22.62/3.90 | | | | | End of split % 22.62/3.90 | | | | | % 22.62/3.90 | | | | Case 2: % 22.62/3.90 | | | | | % 22.62/3.90 | | | | | (403) ~ (all_81_2 = 0) | ~ (all_81_3 = 0) | ~ (all_81_4 = 0) | % 22.62/3.90 | | | | | ~ (all_81_5 = 0) | all_81_0 = 0 % 22.62/3.90 | | | | | % 22.62/3.90 | | | | | BETA: splitting (403) gives: % 22.62/3.90 | | | | | % 22.62/3.90 | | | | | Case 1: % 22.62/3.90 | | | | | | % 22.62/3.90 | | | | | | (404) ~ (all_81_2 = 0) % 22.62/3.90 | | | | | | % 22.62/3.90 | | | | | | REDUCE: (378), (404) imply: % 22.62/3.90 | | | | | | (405) $false % 22.62/3.90 | | | | | | % 22.62/3.90 | | | | | | CLOSE: (405) is inconsistent. % 22.62/3.90 | | | | | | % 22.62/3.90 | | | | | Case 2: % 22.62/3.90 | | | | | | % 22.62/3.90 | | | | | | (406) ~ (all_81_3 = 0) | ~ (all_81_4 = 0) | ~ (all_81_5 = 0) | % 22.62/3.90 | | | | | | all_81_0 = 0 % 22.62/3.90 | | | | | | % 22.62/3.90 | | | | | | BETA: splitting (406) gives: % 22.62/3.90 | | | | | | % 22.62/3.90 | | | | | | Case 1: % 22.62/3.90 | | | | | | | % 22.62/3.90 | | | | | | | (407) ~ (all_81_3 = 0) % 22.62/3.90 | | | | | | | % 22.62/3.90 | | | | | | | REDUCE: (379), (407) imply: % 22.62/3.90 | | | | | | | (408) $false % 22.62/3.90 | | | | | | | % 22.62/3.90 | | | | | | | CLOSE: (408) is inconsistent. % 22.62/3.90 | | | | | | | % 22.62/3.90 | | | | | | Case 2: % 22.62/3.90 | | | | | | | % 22.62/3.90 | | | | | | | (409) ~ (all_81_4 = 0) | ~ (all_81_5 = 0) | all_81_0 = 0 % 22.62/3.90 | | | | | | | % 22.62/3.90 | | | | | | | BETA: splitting (409) gives: % 22.62/3.90 | | | | | | | % 22.62/3.90 | | | | | | | Case 1: % 22.62/3.90 | | | | | | | | % 22.62/3.90 | | | | | | | | (410) ~ (all_81_4 = 0) % 22.62/3.90 | | | | | | | | % 22.62/3.90 | | | | | | | | REDUCE: (375), (410) imply: % 22.62/3.90 | | | | | | | | (411) $false % 22.62/3.90 | | | | | | | | % 22.62/3.90 | | | | | | | | CLOSE: (411) is inconsistent. % 22.62/3.90 | | | | | | | | % 22.62/3.90 | | | | | | | Case 2: % 22.62/3.90 | | | | | | | | % 22.62/3.90 | | | | | | | | (412) ~ (all_81_5 = 0) | all_81_0 = 0 % 22.62/3.90 | | | | | | | | % 22.62/3.90 | | | | | | | | BETA: splitting (412) gives: % 22.62/3.90 | | | | | | | | % 22.62/3.90 | | | | | | | | Case 1: % 22.62/3.90 | | | | | | | | | % 22.62/3.90 | | | | | | | | | (413) ~ (all_81_5 = 0) % 22.62/3.90 | | | | | | | | | % 22.62/3.90 | | | | | | | | | REDUCE: (377), (413) imply: % 22.62/3.90 | | | | | | | | | (414) $false % 22.62/3.90 | | | | | | | | | % 22.62/3.90 | | | | | | | | | CLOSE: (414) is inconsistent. % 22.62/3.90 | | | | | | | | | % 22.62/3.90 | | | | | | | | Case 2: % 22.62/3.90 | | | | | | | | | % 22.62/3.90 | | | | | | | | | (415) all_81_0 = 0 % 22.62/3.90 | | | | | | | | | % 22.62/3.90 | | | | | | | | | COMBINE_EQS: (263), (415) imply: % 22.62/3.90 | | | | | | | | | (416) all_46_0 = 0 % 22.62/3.90 | | | | | | | | | % 22.62/3.90 | | | | | | | | | SIMP: (416) implies: % 22.62/3.90 | | | | | | | | | (417) all_46_0 = 0 % 22.62/3.90 | | | | | | | | | % 22.62/3.90 | | | | | | | | | REDUCE: (32), (417) imply: % 22.62/3.90 | | | | | | | | | (418) $false % 22.62/3.90 | | | | | | | | | % 22.62/3.90 | | | | | | | | | CLOSE: (418) is inconsistent. % 22.62/3.90 | | | | | | | | | % 22.62/3.90 | | | | | | | | End of split % 22.62/3.90 | | | | | | | | % 22.62/3.91 | | | | | | | End of split % 22.62/3.91 | | | | | | | % 22.62/3.91 | | | | | | End of split % 22.62/3.91 | | | | | | % 22.62/3.91 | | | | | End of split % 22.62/3.91 | | | | | % 22.62/3.91 | | | | End of split % 22.62/3.91 | | | | % 22.62/3.91 | | | End of split % 22.62/3.91 | | | % 22.62/3.91 | | End of split % 22.62/3.91 | | % 22.62/3.91 | End of split % 22.62/3.91 | % 22.62/3.91 End of proof % 22.62/3.91 % SZS output end Proof for theBenchmark % 22.62/3.91 % 22.62/3.91 3298ms %------------------------------------------------------------------------------