%------------------------------------------------------------------------------ % File : Princess---230619 % Problem : GRP775+1 : TPTP v8.1.2. Released v4.1.0. % Transfm : none % Format : tptp % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s % Computer : n015.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 01:13:20 EDT 2023 % Result : Theorem 16.68s 3.02s % Output : Proof 52.36s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : GRP775+1 : TPTP v8.1.2. Released v4.1.0. % 0.00/0.13 % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s % 0.12/0.34 % Computer : n015.cluster.edu % 0.12/0.34 % Model : x86_64 x86_64 % 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.12/0.34 % Memory : 8042.1875MB % 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.12/0.34 % CPULimit : 300 % 0.12/0.34 % WCLimit : 300 % 0.12/0.34 % DateTime : Tue Aug 29 02:51:26 EDT 2023 % 0.12/0.34 % CPUTime : % 0.19/0.59 ________ _____ % 0.19/0.59 ___ __ \_________(_)________________________________ % 0.19/0.59 __ /_/ /_ ___/_ /__ __ \ ___/ _ \_ ___/_ ___/ % 0.19/0.59 _ ____/_ / _ / _ / / / /__ / __/(__ )_(__ ) % 0.19/0.59 /_/ /_/ /_/ /_/ /_/\___/ \___//____/ /____/ % 0.19/0.59 % 0.19/0.59 A Theorem Prover for First-Order Logic modulo Linear Integer Arithmetic % 0.19/0.59 (2023-06-19) % 0.19/0.59 % 0.19/0.59 (c) Philipp Rümmer, 2009-2023 % 0.19/0.60 Contributors: Peter Backeman, Peter Baumgartner, Angelo Brillout, Zafer Esen, % 0.19/0.60 Amanda Stjerna. % 0.19/0.60 Free software under BSD-3-Clause. % 0.19/0.60 % 0.19/0.60 For more information, visit http://www.philipp.ruemmer.org/princess.shtml % 0.19/0.60 % 0.19/0.60 Loading /export/starexec/sandbox2/benchmark/theBenchmark.p ... % 0.19/0.61 Running up to 7 provers in parallel. % 0.19/0.63 Prover 0: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893 % 0.19/0.63 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1571432423 % 0.19/0.63 Prover 2: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1065072994 % 0.19/0.63 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696 % 0.19/0.63 Prover 5: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288 % 0.19/0.63 Prover 6: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365 % 0.19/0.63 Prover 3: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996 % 1.82/0.93 Prover 4: Preprocessing ... % 1.82/0.93 Prover 1: Preprocessing ... % 1.82/0.97 Prover 6: Preprocessing ... % 1.82/0.97 Prover 5: Preprocessing ... % 1.82/0.97 Prover 2: Preprocessing ... % 1.82/0.97 Prover 0: Preprocessing ... % 2.34/0.97 Prover 3: Preprocessing ... % 3.85/1.20 Prover 6: Proving ... % 3.85/1.20 Prover 1: Constructing countermodel ... % 3.85/1.20 Prover 3: Constructing countermodel ... % 3.85/1.22 Prover 5: Proving ... % 3.85/1.25 Prover 4: Constructing countermodel ... % 3.85/1.25 Prover 2: Proving ... % 4.45/1.28 Prover 0: Proving ... % 8.61/1.88 Prover 3: gave up % 9.00/1.90 Prover 7: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470 % 9.00/1.92 Prover 7: Preprocessing ... % 9.40/1.98 Prover 7: Constructing countermodel ... % 13.60/2.56 Prover 1: gave up % 13.78/2.57 Prover 8: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089 % 13.78/2.58 Prover 8: Preprocessing ... % 13.78/2.63 Prover 8: Warning: ignoring some quantifiers % 13.78/2.68 Prover 8: Constructing countermodel ... % 15.58/2.85 Prover 8: gave up % 15.58/2.87 Prover 9: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allMinimal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1423531889 % 15.94/2.88 Prover 9: Preprocessing ... % 16.50/2.95 Prover 9: Constructing countermodel ... % 16.68/3.02 Prover 0: proved (2404ms) % 16.68/3.02 % 16.68/3.02 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p % 16.68/3.02 % 17.10/3.03 Prover 9: stopped % 17.10/3.03 Prover 2: stopped % 17.10/3.04 Prover 6: stopped % 17.30/3.05 Prover 5: stopped % 17.30/3.07 Prover 10: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=919308125 % 17.30/3.07 Prover 11: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1509710984 % 17.30/3.07 Prover 13: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=1138197443 % 17.30/3.07 Prover 11: Preprocessing ... % 17.30/3.07 Prover 10: Preprocessing ... % 17.30/3.07 Prover 13: Preprocessing ... % 17.30/3.07 Prover 16: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=completeFrugal -randomSeed=-2043353683 % 17.30/3.07 Prover 16: Preprocessing ... % 17.30/3.07 Prover 19: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=-1780594085 % 17.30/3.08 Prover 19: Preprocessing ... % 17.30/3.09 Prover 10: Constructing countermodel ... % 17.30/3.10 Prover 16: Warning: ignoring some quantifiers % 17.30/3.10 Prover 13: Warning: ignoring some quantifiers % 17.30/3.10 Prover 13: Constructing countermodel ... % 17.30/3.10 Prover 11: Constructing countermodel ... % 17.30/3.11 Prover 16: Constructing countermodel ... % 17.30/3.12 Prover 19: Warning: ignoring some quantifiers % 17.30/3.12 Prover 19: Constructing countermodel ... % 17.90/3.15 Prover 16: gave up % 18.80/3.32 Prover 19: gave up % 25.04/4.13 Prover 10: gave up % 47.62/7.41 Prover 4: Found proof (size 2941) % 47.62/7.42 Prover 4: proved (6791ms) % 47.62/7.42 Prover 7: stopped % 47.62/7.42 Prover 13: stopped % 47.62/7.42 Prover 11: stopped % 48.29/7.42 % 48.29/7.42 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p % 48.29/7.42 % 49.21/7.91 % SZS output start Proof for theBenchmark % 49.21/7.91 Assumptions after simplification: % 49.21/7.91 --------------------------------- % 49.21/7.91 % 49.21/7.91 (goals) % 49.21/7.94 ? [v0: $i] : ? [v1: $i] : ? [v2: any] : ? [v3: $i] : ? [v4: $i] : ? [v5: % 49.21/7.94 $i] : ? [v6: $i] : (d(v0, v1) = v2 & product(v1, v5) = v6 & product(v1, v0) % 49.21/7.94 = v3 & product(v0, v3) = v4 & product(v0, v1) = v5 & $i(v6) & $i(v5) & % 49.21/7.94 $i(v4) & $i(v3) & $i(v1) & $i(v0) & ((v6 = v1 & v4 = v0 & ~ (v2 = 0)) | (v2 % 49.21/7.94 = 0 & ( ~ (v6 = v1) | ~ (v4 = v0))))) % 49.21/7.94 % 49.21/7.94 (sos01) % 49.21/7.94 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ( ~ % 49.21/7.94 (product(v3, v0) = v4) | ~ (product(v2, v1) = v3) | ~ $i(v2) | ~ $i(v1) | % 49.21/7.94 ~ $i(v0) | ? [v5: $i] : (product(v2, v5) = v4 & product(v1, v0) = v5 & % 49.21/7.94 $i(v5) & $i(v4))) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] % 49.21/7.94 : ! [v4: $i] : ( ~ (product(v2, v3) = v4) | ~ (product(v1, v0) = v3) | ~ % 49.21/7.94 $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v5: $i] : (product(v5, v0) = v4 & % 49.21/7.95 product(v2, v1) = v5 & $i(v5) & $i(v4))) % 49.21/7.95 % 49.21/7.95 (sos02) % 49.21/7.95 ! [v0: $i] : ! [v1: $i] : (v1 = v0 | ~ (product(v0, v0) = v1) | ~ $i(v0)) % 49.21/7.95 % 49.21/7.95 (sos03) % 49.21/7.96 ! [v0: $i] : ! [v1: $i] : ! [v2: int] : (v2 = 0 | ~ (l(v0, v1) = v2) | ~ % 49.21/7.96 $i(v1) | ~ $i(v0) | ? [v3: $i] : ? [v4: $i] : (product(v1, v0) = v4 & % 49.21/7.96 product(v0, v1) = v3 & $i(v4) & $i(v3) & ( ~ (v4 = v1) | ~ (v3 = v0)))) & % 49.21/7.96 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ (product(v1, v0) = v2) | ~ % 49.21/7.96 $i(v1) | ~ $i(v0) | ? [v3: any] : ? [v4: $i] : (l(v0, v1) = v3 & % 49.21/7.96 product(v0, v1) = v4 & $i(v4) & ( ~ (v3 = 0) | (v4 = v0 & v2 = v1)))) & ! % 49.21/7.96 [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ (product(v0, v1) = v2) | ~ $i(v1) % 49.21/7.96 | ~ $i(v0) | ? [v3: any] : ? [v4: $i] : (l(v0, v1) = v3 & product(v1, v0) % 49.21/7.96 = v4 & $i(v4) & ( ~ (v3 = 0) | (v4 = v1 & v2 = v0)))) & ! [v0: $i] : ! % 49.21/7.96 [v1: $i] : ( ~ (l(v0, v1) = 0) | ~ $i(v1) | ~ $i(v0) | (product(v1, v0) = v1 % 49.21/7.96 & product(v0, v1) = v0)) & ! [v0: $i] : ! [v1: $i] : ( ~ (product(v1, % 49.21/7.96 v0) = v1) | ~ $i(v1) | ~ $i(v0) | ? [v2: $i] : ? [v3: any] : (l(v0, % 49.21/7.96 v1) = v3 & product(v0, v1) = v2 & $i(v2) & ( ~ (v2 = v0) | v3 = 0))) & % 49.21/7.96 ! [v0: $i] : ! [v1: $i] : ( ~ (product(v0, v1) = v0) | ~ $i(v1) | ~ $i(v0) % 49.21/7.96 | ? [v2: $i] : ? [v3: any] : (l(v0, v1) = v3 & product(v1, v0) = v2 & % 49.21/7.96 $i(v2) & ( ~ (v2 = v1) | v3 = 0))) % 49.21/7.96 % 49.21/7.96 (sos04) % 49.21/7.97 ! [v0: $i] : ! [v1: $i] : ! [v2: int] : (v2 = 0 | ~ (r(v0, v1) = v2) | ~ % 49.21/7.97 $i(v1) | ~ $i(v0) | ? [v3: $i] : ? [v4: $i] : (product(v1, v0) = v4 & % 49.21/7.97 product(v0, v1) = v3 & $i(v4) & $i(v3) & ( ~ (v4 = v0) | ~ (v3 = v1)))) & % 49.21/7.97 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ (product(v1, v0) = v2) | ~ % 49.21/7.97 $i(v1) | ~ $i(v0) | ? [v3: any] : ? [v4: $i] : (r(v0, v1) = v3 & % 49.21/7.97 product(v0, v1) = v4 & $i(v4) & ( ~ (v3 = 0) | (v4 = v1 & v2 = v0)))) & ! % 49.21/7.97 [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ (product(v0, v1) = v2) | ~ $i(v1) % 49.21/7.97 | ~ $i(v0) | ? [v3: any] : ? [v4: $i] : (r(v0, v1) = v3 & product(v1, v0) % 49.21/7.97 = v4 & $i(v4) & ( ~ (v3 = 0) | (v4 = v0 & v2 = v1)))) & ! [v0: $i] : ! % 49.21/7.97 [v1: $i] : ( ~ (r(v0, v1) = 0) | ~ $i(v1) | ~ $i(v0) | (product(v1, v0) = v0 % 49.21/7.97 & product(v0, v1) = v1)) & ! [v0: $i] : ! [v1: $i] : ( ~ (product(v1, % 49.21/7.97 v0) = v0) | ~ $i(v1) | ~ $i(v0) | ? [v2: $i] : ? [v3: any] : (r(v0, % 49.21/7.97 v1) = v3 & product(v0, v1) = v2 & $i(v2) & ( ~ (v2 = v1) | v3 = 0))) & % 49.21/7.97 ! [v0: $i] : ! [v1: $i] : ( ~ (product(v0, v1) = v1) | ~ $i(v1) | ~ $i(v0) % 49.21/7.97 | ? [v2: $i] : ? [v3: any] : (r(v0, v1) = v3 & product(v1, v0) = v2 & % 49.21/7.97 $i(v2) & ( ~ (v2 = v0) | v3 = 0))) % 49.21/7.97 % 49.21/7.97 (sos05) % 49.21/7.97 ! [v0: $i] : ! [v1: $i] : ! [v2: int] : ! [v3: $i] : (v2 = 0 | ~ (d(v0, % 49.21/7.97 v1) = v2) | ~ (r(v0, v3) = 0) | ~ $i(v3) | ~ $i(v1) | ~ $i(v0) | ? % 49.21/7.97 [v4: int] : ( ~ (v4 = 0) & l(v3, v1) = v4)) & ! [v0: $i] : ! [v1: $i] : ! % 49.21/7.97 [v2: int] : ! [v3: $i] : (v2 = 0 | ~ (d(v0, v1) = v2) | ~ (l(v3, v1) = 0) | % 49.21/7.97 ~ $i(v3) | ~ $i(v1) | ~ $i(v0) | ? [v4: int] : ( ~ (v4 = 0) & r(v0, v3) % 49.21/7.97 = v4)) & ! [v0: $i] : ! [v1: $i] : ( ~ (d(v0, v1) = 0) | ~ $i(v1) | ~ % 49.21/7.97 $i(v0) | ? [v2: $i] : (r(v0, v2) = 0 & l(v2, v1) = 0 & $i(v2))) % 49.21/7.97 % 49.21/7.97 (function-axioms) % 49.21/7.97 ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : ! % 49.21/7.97 [v3: $i] : (v1 = v0 | ~ (d(v3, v2) = v1) | ~ (d(v3, v2) = v0)) & ! [v0: % 49.21/7.97 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : ! [v3: $i] % 49.21/7.97 : (v1 = v0 | ~ (r(v3, v2) = v1) | ~ (r(v3, v2) = v0)) & ! [v0: % 49.21/7.97 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : ! [v3: $i] % 49.21/7.97 : (v1 = v0 | ~ (l(v3, v2) = v1) | ~ (l(v3, v2) = v0)) & ! [v0: $i] : ! % 49.21/7.97 [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ (product(v3, v2) = v1) | % 49.21/7.97 ~ (product(v3, v2) = v0)) % 49.21/7.97 % 49.21/7.97 Those formulas are unsatisfiable: % 49.21/7.97 --------------------------------- % 49.21/7.97 % 49.21/7.97 Begin of proof % 49.92/7.98 | % 49.92/7.98 | ALPHA: (sos01) implies: % 49.92/7.98 | (1) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ( % 49.92/7.98 | ~ (product(v2, v3) = v4) | ~ (product(v1, v0) = v3) | ~ $i(v2) | ~ % 49.92/7.98 | $i(v1) | ~ $i(v0) | ? [v5: $i] : (product(v5, v0) = v4 & % 49.92/7.98 | product(v2, v1) = v5 & $i(v5) & $i(v4))) % 49.92/7.98 | (2) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ( % 49.92/7.98 | ~ (product(v3, v0) = v4) | ~ (product(v2, v1) = v3) | ~ $i(v2) | ~ % 49.92/7.98 | $i(v1) | ~ $i(v0) | ? [v5: $i] : (product(v2, v5) = v4 & % 49.92/7.98 | product(v1, v0) = v5 & $i(v5) & $i(v4))) % 49.92/7.98 | % 49.92/7.98 | ALPHA: (sos03) implies: % 49.92/7.99 | (3) ! [v0: $i] : ! [v1: $i] : ( ~ (product(v0, v1) = v0) | ~ $i(v1) | ~ % 49.92/7.99 | $i(v0) | ? [v2: $i] : ? [v3: any] : (l(v0, v1) = v3 & product(v1, % 49.92/7.99 | v0) = v2 & $i(v2) & ( ~ (v2 = v1) | v3 = 0))) % 49.92/7.99 | (4) ! [v0: $i] : ! [v1: $i] : ( ~ (product(v1, v0) = v1) | ~ $i(v1) | ~ % 49.92/7.99 | $i(v0) | ? [v2: $i] : ? [v3: any] : (l(v0, v1) = v3 & product(v0, % 49.92/7.99 | v1) = v2 & $i(v2) & ( ~ (v2 = v0) | v3 = 0))) % 49.92/7.99 | (5) ! [v0: $i] : ! [v1: $i] : ( ~ (l(v0, v1) = 0) | ~ $i(v1) | ~ $i(v0) % 49.92/7.99 | | (product(v1, v0) = v1 & product(v0, v1) = v0)) % 49.92/7.99 | (6) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ (product(v0, v1) = v2) | % 49.92/7.99 | ~ $i(v1) | ~ $i(v0) | ? [v3: any] : ? [v4: $i] : (l(v0, v1) = v3 & % 49.92/7.99 | product(v1, v0) = v4 & $i(v4) & ( ~ (v3 = 0) | (v4 = v1 & v2 = % 49.92/7.99 | v0)))) % 49.92/7.99 | (7) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ (product(v1, v0) = v2) | % 49.92/7.99 | ~ $i(v1) | ~ $i(v0) | ? [v3: any] : ? [v4: $i] : (l(v0, v1) = v3 & % 49.92/7.99 | product(v0, v1) = v4 & $i(v4) & ( ~ (v3 = 0) | (v4 = v0 & v2 = % 49.92/7.99 | v1)))) % 49.92/7.99 | (8) ! [v0: $i] : ! [v1: $i] : ! [v2: int] : (v2 = 0 | ~ (l(v0, v1) = % 49.92/7.99 | v2) | ~ $i(v1) | ~ $i(v0) | ? [v3: $i] : ? [v4: $i] : % 49.92/7.99 | (product(v1, v0) = v4 & product(v0, v1) = v3 & $i(v4) & $i(v3) & ( ~ % 49.92/7.99 | (v4 = v1) | ~ (v3 = v0)))) % 49.92/7.99 | % 49.92/7.99 | ALPHA: (sos04) implies: % 49.92/7.99 | (9) ! [v0: $i] : ! [v1: $i] : ( ~ (product(v0, v1) = v1) | ~ $i(v1) | ~ % 49.92/7.99 | $i(v0) | ? [v2: $i] : ? [v3: any] : (r(v0, v1) = v3 & product(v1, % 49.92/7.99 | v0) = v2 & $i(v2) & ( ~ (v2 = v0) | v3 = 0))) % 49.92/7.99 | (10) ! [v0: $i] : ! [v1: $i] : ( ~ (product(v1, v0) = v0) | ~ $i(v1) | % 49.92/7.99 | ~ $i(v0) | ? [v2: $i] : ? [v3: any] : (r(v0, v1) = v3 & % 49.92/7.99 | product(v0, v1) = v2 & $i(v2) & ( ~ (v2 = v1) | v3 = 0))) % 49.92/8.00 | (11) ! [v0: $i] : ! [v1: $i] : ( ~ (r(v0, v1) = 0) | ~ $i(v1) | ~ % 49.92/8.00 | $i(v0) | (product(v1, v0) = v0 & product(v0, v1) = v1)) % 49.92/8.00 | (12) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ (product(v0, v1) = v2) | % 49.92/8.00 | ~ $i(v1) | ~ $i(v0) | ? [v3: any] : ? [v4: $i] : (r(v0, v1) = v3 % 49.92/8.00 | & product(v1, v0) = v4 & $i(v4) & ( ~ (v3 = 0) | (v4 = v0 & v2 = % 49.92/8.00 | v1)))) % 49.92/8.00 | (13) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ (product(v1, v0) = v2) | % 49.92/8.00 | ~ $i(v1) | ~ $i(v0) | ? [v3: any] : ? [v4: $i] : (r(v0, v1) = v3 % 49.92/8.00 | & product(v0, v1) = v4 & $i(v4) & ( ~ (v3 = 0) | (v4 = v1 & v2 = % 49.92/8.00 | v0)))) % 49.92/8.00 | (14) ! [v0: $i] : ! [v1: $i] : ! [v2: int] : (v2 = 0 | ~ (r(v0, v1) = % 49.92/8.00 | v2) | ~ $i(v1) | ~ $i(v0) | ? [v3: $i] : ? [v4: $i] : % 49.92/8.00 | (product(v1, v0) = v4 & product(v0, v1) = v3 & $i(v4) & $i(v3) & ( ~ % 49.92/8.00 | (v4 = v0) | ~ (v3 = v1)))) % 49.92/8.00 | % 49.92/8.00 | ALPHA: (sos05) implies: % 49.92/8.00 | (15) ! [v0: $i] : ! [v1: $i] : ( ~ (d(v0, v1) = 0) | ~ $i(v1) | ~ % 49.92/8.00 | $i(v0) | ? [v2: $i] : (r(v0, v2) = 0 & l(v2, v1) = 0 & $i(v2))) % 49.92/8.00 | (16) ! [v0: $i] : ! [v1: $i] : ! [v2: int] : ! [v3: $i] : (v2 = 0 | ~ % 49.92/8.00 | (d(v0, v1) = v2) | ~ (r(v0, v3) = 0) | ~ $i(v3) | ~ $i(v1) | ~ % 49.92/8.00 | $i(v0) | ? [v4: int] : ( ~ (v4 = 0) & l(v3, v1) = v4)) % 49.92/8.00 | % 49.92/8.00 | ALPHA: (function-axioms) implies: % 49.92/8.00 | (17) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 49.92/8.00 | (product(v3, v2) = v1) | ~ (product(v3, v2) = v0)) % 49.92/8.00 | (18) ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] % 49.92/8.00 | : ! [v3: $i] : (v1 = v0 | ~ (l(v3, v2) = v1) | ~ (l(v3, v2) = v0)) % 49.92/8.00 | (19) ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] % 49.92/8.00 | : ! [v3: $i] : (v1 = v0 | ~ (r(v3, v2) = v1) | ~ (r(v3, v2) = v0)) % 49.92/8.00 | % 49.92/8.00 | DELTA: instantiating (goals) with fresh symbols all_8_0, all_8_1, all_8_2, % 49.92/8.00 | all_8_3, all_8_4, all_8_5, all_8_6 gives: % 49.92/8.01 | (20) d(all_8_6, all_8_5) = all_8_4 & product(all_8_5, all_8_1) = all_8_0 & % 49.92/8.01 | product(all_8_5, all_8_6) = all_8_3 & product(all_8_6, all_8_3) = % 49.92/8.01 | all_8_2 & product(all_8_6, all_8_5) = all_8_1 & $i(all_8_0) & % 49.92/8.01 | $i(all_8_1) & $i(all_8_2) & $i(all_8_3) & $i(all_8_5) & $i(all_8_6) & % 49.92/8.01 | ((all_8_0 = all_8_5 & all_8_2 = all_8_6 & ~ (all_8_4 = 0)) | (all_8_4 % 49.92/8.01 | = 0 & ( ~ (all_8_0 = all_8_5) | ~ (all_8_2 = all_8_6)))) % 49.92/8.01 | % 49.92/8.01 | ALPHA: (20) implies: % 49.92/8.01 | (21) $i(all_8_6) % 49.92/8.01 | (22) $i(all_8_5) % 49.92/8.01 | (23) $i(all_8_3) % 49.92/8.01 | (24) $i(all_8_1) % 49.92/8.01 | (25) product(all_8_6, all_8_5) = all_8_1 % 49.92/8.01 | (26) product(all_8_6, all_8_3) = all_8_2 % 49.92/8.01 | (27) product(all_8_5, all_8_6) = all_8_3 % 49.92/8.01 | (28) product(all_8_5, all_8_1) = all_8_0 % 49.92/8.01 | (29) d(all_8_6, all_8_5) = all_8_4 % 49.92/8.01 | (30) (all_8_0 = all_8_5 & all_8_2 = all_8_6 & ~ (all_8_4 = 0)) | (all_8_4 % 49.92/8.01 | = 0 & ( ~ (all_8_0 = all_8_5) | ~ (all_8_2 = all_8_6))) % 49.92/8.01 | % 49.92/8.01 | GROUND_INST: instantiating (13) with all_8_5, all_8_6, all_8_1, simplifying % 49.92/8.01 | with (21), (22), (25) gives: % 49.92/8.01 | (31) ? [v0: any] : ? [v1: $i] : (r(all_8_5, all_8_6) = v0 & % 49.92/8.01 | product(all_8_5, all_8_6) = v1 & $i(v1) & ( ~ (v0 = 0) | (v1 = % 49.92/8.01 | all_8_6 & all_8_1 = all_8_5))) % 49.92/8.01 | % 49.92/8.01 | GROUND_INST: instantiating (7) with all_8_5, all_8_6, all_8_1, simplifying % 49.92/8.01 | with (21), (22), (25) gives: % 49.92/8.01 | (32) ? [v0: any] : ? [v1: $i] : (l(all_8_5, all_8_6) = v0 & % 49.92/8.01 | product(all_8_5, all_8_6) = v1 & $i(v1) & ( ~ (v0 = 0) | (v1 = % 49.92/8.01 | all_8_5 & all_8_1 = all_8_6))) % 49.92/8.01 | % 49.92/8.01 | GROUND_INST: instantiating (12) with all_8_6, all_8_5, all_8_1, simplifying % 49.92/8.01 | with (21), (22), (25) gives: % 49.92/8.01 | (33) ? [v0: any] : ? [v1: $i] : (r(all_8_6, all_8_5) = v0 & % 49.92/8.01 | product(all_8_5, all_8_6) = v1 & $i(v1) & ( ~ (v0 = 0) | (v1 = % 49.92/8.01 | all_8_6 & all_8_1 = all_8_5))) % 49.92/8.01 | % 49.92/8.01 | GROUND_INST: instantiating (6) with all_8_6, all_8_5, all_8_1, simplifying % 49.92/8.01 | with (21), (22), (25) gives: % 49.92/8.01 | (34) ? [v0: any] : ? [v1: $i] : (l(all_8_6, all_8_5) = v0 & % 49.92/8.01 | product(all_8_5, all_8_6) = v1 & $i(v1) & ( ~ (v0 = 0) | (v1 = % 49.92/8.01 | all_8_5 & all_8_1 = all_8_6))) % 49.92/8.01 | % 49.92/8.01 | GROUND_INST: instantiating (13) with all_8_3, all_8_6, all_8_2, simplifying % 49.92/8.01 | with (21), (23), (26) gives: % 49.92/8.02 | (35) ? [v0: any] : ? [v1: $i] : (r(all_8_3, all_8_6) = v0 & % 49.92/8.02 | product(all_8_3, all_8_6) = v1 & $i(v1) & ( ~ (v0 = 0) | (v1 = % 49.92/8.02 | all_8_6 & all_8_2 = all_8_3))) % 49.92/8.02 | % 49.92/8.02 | GROUND_INST: instantiating (7) with all_8_3, all_8_6, all_8_2, simplifying % 49.92/8.02 | with (21), (23), (26) gives: % 49.92/8.02 | (36) ? [v0: any] : ? [v1: $i] : (l(all_8_3, all_8_6) = v0 & % 49.92/8.02 | product(all_8_3, all_8_6) = v1 & $i(v1) & ( ~ (v0 = 0) | (v1 = % 49.92/8.02 | all_8_3 & all_8_2 = all_8_6))) % 49.92/8.02 | % 49.92/8.02 | GROUND_INST: instantiating (12) with all_8_6, all_8_3, all_8_2, simplifying % 49.92/8.02 | with (21), (23), (26) gives: % 49.92/8.02 | (37) ? [v0: any] : ? [v1: $i] : (r(all_8_6, all_8_3) = v0 & % 49.92/8.02 | product(all_8_3, all_8_6) = v1 & $i(v1) & ( ~ (v0 = 0) | (v1 = % 49.92/8.02 | all_8_6 & all_8_2 = all_8_3))) % 49.92/8.02 | % 49.92/8.02 | GROUND_INST: instantiating (6) with all_8_6, all_8_3, all_8_2, simplifying % 49.92/8.02 | with (21), (23), (26) gives: % 49.92/8.02 | (38) ? [v0: any] : ? [v1: $i] : (l(all_8_6, all_8_3) = v0 & % 49.92/8.02 | product(all_8_3, all_8_6) = v1 & $i(v1) & ( ~ (v0 = 0) | (v1 = % 49.92/8.02 | all_8_3 & all_8_2 = all_8_6))) % 49.92/8.02 | % 49.92/8.02 | GROUND_INST: instantiating (1) with all_8_6, all_8_5, all_8_6, all_8_3, % 49.92/8.02 | all_8_2, simplifying with (21), (22), (26), (27) gives: % 49.92/8.02 | (39) ? [v0: $i] : (product(v0, all_8_6) = all_8_2 & product(all_8_6, % 49.92/8.02 | all_8_5) = v0 & $i(v0) & $i(all_8_2)) % 49.92/8.02 | % 49.92/8.02 | GROUND_INST: instantiating (13) with all_8_6, all_8_5, all_8_3, simplifying % 49.92/8.02 | with (21), (22), (27) gives: % 49.92/8.02 | (40) ? [v0: any] : ? [v1: $i] : (r(all_8_6, all_8_5) = v0 & % 49.92/8.02 | product(all_8_6, all_8_5) = v1 & $i(v1) & ( ~ (v0 = 0) | (v1 = % 49.92/8.02 | all_8_5 & all_8_3 = all_8_6))) % 49.92/8.02 | % 49.92/8.02 | GROUND_INST: instantiating (7) with all_8_6, all_8_5, all_8_3, simplifying % 49.92/8.02 | with (21), (22), (27) gives: % 49.92/8.02 | (41) ? [v0: any] : ? [v1: $i] : (l(all_8_6, all_8_5) = v0 & % 49.92/8.02 | product(all_8_6, all_8_5) = v1 & $i(v1) & ( ~ (v0 = 0) | (v1 = % 49.92/8.02 | all_8_6 & all_8_3 = all_8_5))) % 49.92/8.02 | % 49.92/8.02 | GROUND_INST: instantiating (12) with all_8_5, all_8_6, all_8_3, simplifying % 49.92/8.02 | with (21), (22), (27) gives: % 49.92/8.02 | (42) ? [v0: any] : ? [v1: $i] : (r(all_8_5, all_8_6) = v0 & % 49.92/8.02 | product(all_8_6, all_8_5) = v1 & $i(v1) & ( ~ (v0 = 0) | (v1 = % 49.92/8.02 | all_8_5 & all_8_3 = all_8_6))) % 49.92/8.02 | % 49.92/8.02 | GROUND_INST: instantiating (6) with all_8_5, all_8_6, all_8_3, simplifying % 49.92/8.02 | with (21), (22), (27) gives: % 49.92/8.03 | (43) ? [v0: any] : ? [v1: $i] : (l(all_8_5, all_8_6) = v0 & % 49.92/8.03 | product(all_8_6, all_8_5) = v1 & $i(v1) & ( ~ (v0 = 0) | (v1 = % 49.92/8.03 | all_8_6 & all_8_3 = all_8_5))) % 49.92/8.03 | % 49.92/8.03 | GROUND_INST: instantiating (1) with all_8_5, all_8_6, all_8_5, all_8_1, % 49.92/8.03 | all_8_0, simplifying with (21), (22), (25), (28) gives: % 49.92/8.03 | (44) ? [v0: $i] : (product(v0, all_8_5) = all_8_0 & product(all_8_5, % 49.92/8.03 | all_8_6) = v0 & $i(v0) & $i(all_8_0)) % 49.92/8.03 | % 49.92/8.03 | GROUND_INST: instantiating (13) with all_8_1, all_8_5, all_8_0, simplifying % 49.92/8.03 | with (22), (24), (28) gives: % 49.92/8.03 | (45) ? [v0: any] : ? [v1: $i] : (r(all_8_1, all_8_5) = v0 & % 49.92/8.03 | product(all_8_1, all_8_5) = v1 & $i(v1) & ( ~ (v0 = 0) | (v1 = % 49.92/8.03 | all_8_5 & all_8_0 = all_8_1))) % 49.92/8.03 | % 49.92/8.03 | GROUND_INST: instantiating (7) with all_8_1, all_8_5, all_8_0, simplifying % 49.92/8.03 | with (22), (24), (28) gives: % 49.92/8.03 | (46) ? [v0: any] : ? [v1: $i] : (l(all_8_1, all_8_5) = v0 & % 49.92/8.03 | product(all_8_1, all_8_5) = v1 & $i(v1) & ( ~ (v0 = 0) | (v1 = % 49.92/8.03 | all_8_1 & all_8_0 = all_8_5))) % 49.92/8.03 | % 49.92/8.03 | GROUND_INST: instantiating (12) with all_8_5, all_8_1, all_8_0, simplifying % 49.92/8.03 | with (22), (24), (28) gives: % 49.92/8.03 | (47) ? [v0: any] : ? [v1: $i] : (r(all_8_5, all_8_1) = v0 & % 49.92/8.03 | product(all_8_1, all_8_5) = v1 & $i(v1) & ( ~ (v0 = 0) | (v1 = % 49.92/8.03 | all_8_5 & all_8_0 = all_8_1))) % 49.92/8.03 | % 49.92/8.03 | GROUND_INST: instantiating (6) with all_8_5, all_8_1, all_8_0, simplifying % 49.92/8.03 | with (22), (24), (28) gives: % 49.92/8.03 | (48) ? [v0: any] : ? [v1: $i] : (l(all_8_5, all_8_1) = v0 & % 49.92/8.03 | product(all_8_1, all_8_5) = v1 & $i(v1) & ( ~ (v0 = 0) | (v1 = % 49.92/8.03 | all_8_1 & all_8_0 = all_8_5))) % 49.92/8.03 | % 49.92/8.03 | DELTA: instantiating (44) with fresh symbol all_15_0 gives: % 49.92/8.03 | (49) product(all_15_0, all_8_5) = all_8_0 & product(all_8_5, all_8_6) = % 49.92/8.03 | all_15_0 & $i(all_15_0) & $i(all_8_0) % 49.92/8.03 | % 49.92/8.03 | ALPHA: (49) implies: % 49.92/8.03 | (50) $i(all_15_0) % 49.92/8.03 | (51) product(all_8_5, all_8_6) = all_15_0 % 49.92/8.03 | (52) product(all_15_0, all_8_5) = all_8_0 % 49.92/8.03 | % 49.92/8.03 | DELTA: instantiating (39) with fresh symbol all_17_0 gives: % 49.92/8.03 | (53) product(all_17_0, all_8_6) = all_8_2 & product(all_8_6, all_8_5) = % 49.92/8.03 | all_17_0 & $i(all_17_0) & $i(all_8_2) % 49.92/8.03 | % 49.92/8.03 | ALPHA: (53) implies: % 49.92/8.03 | (54) $i(all_17_0) % 49.92/8.03 | (55) product(all_8_6, all_8_5) = all_17_0 % 49.92/8.03 | (56) product(all_17_0, all_8_6) = all_8_2 % 49.92/8.03 | % 49.92/8.03 | DELTA: instantiating (48) with fresh symbols all_19_0, all_19_1 gives: % 49.92/8.03 | (57) l(all_8_5, all_8_1) = all_19_1 & product(all_8_1, all_8_5) = all_19_0 % 49.92/8.03 | & $i(all_19_0) & ( ~ (all_19_1 = 0) | (all_19_0 = all_8_1 & all_8_0 = % 49.92/8.03 | all_8_5)) % 49.92/8.03 | % 49.92/8.03 | ALPHA: (57) implies: % 49.92/8.04 | (58) product(all_8_1, all_8_5) = all_19_0 % 49.92/8.04 | (59) l(all_8_5, all_8_1) = all_19_1 % 49.92/8.04 | (60) ~ (all_19_1 = 0) | (all_19_0 = all_8_1 & all_8_0 = all_8_5) % 49.92/8.04 | % 49.92/8.04 | DELTA: instantiating (41) with fresh symbols all_21_0, all_21_1 gives: % 49.92/8.04 | (61) l(all_8_6, all_8_5) = all_21_1 & product(all_8_6, all_8_5) = all_21_0 % 49.92/8.04 | & $i(all_21_0) & ( ~ (all_21_1 = 0) | (all_21_0 = all_8_6 & all_8_3 = % 49.92/8.04 | all_8_5)) % 49.92/8.04 | % 49.92/8.04 | ALPHA: (61) implies: % 49.92/8.04 | (62) product(all_8_6, all_8_5) = all_21_0 % 49.92/8.04 | (63) l(all_8_6, all_8_5) = all_21_1 % 49.92/8.04 | (64) ~ (all_21_1 = 0) | (all_21_0 = all_8_6 & all_8_3 = all_8_5) % 49.92/8.04 | % 49.92/8.04 | DELTA: instantiating (40) with fresh symbols all_23_0, all_23_1 gives: % 49.92/8.04 | (65) r(all_8_6, all_8_5) = all_23_1 & product(all_8_6, all_8_5) = all_23_0 % 49.92/8.04 | & $i(all_23_0) & ( ~ (all_23_1 = 0) | (all_23_0 = all_8_5 & all_8_3 = % 49.92/8.04 | all_8_6)) % 49.92/8.04 | % 49.92/8.04 | ALPHA: (65) implies: % 49.92/8.04 | (66) product(all_8_6, all_8_5) = all_23_0 % 49.92/8.04 | (67) r(all_8_6, all_8_5) = all_23_1 % 49.92/8.04 | (68) ~ (all_23_1 = 0) | (all_23_0 = all_8_5 & all_8_3 = all_8_6) % 49.92/8.04 | % 49.92/8.04 | DELTA: instantiating (47) with fresh symbols all_25_0, all_25_1 gives: % 49.92/8.04 | (69) r(all_8_5, all_8_1) = all_25_1 & product(all_8_1, all_8_5) = all_25_0 % 49.92/8.04 | & $i(all_25_0) & ( ~ (all_25_1 = 0) | (all_25_0 = all_8_5 & all_8_0 = % 49.92/8.04 | all_8_1)) % 49.92/8.04 | % 49.92/8.04 | ALPHA: (69) implies: % 49.92/8.04 | (70) product(all_8_1, all_8_5) = all_25_0 % 49.92/8.04 | (71) r(all_8_5, all_8_1) = all_25_1 % 49.92/8.04 | (72) ~ (all_25_1 = 0) | (all_25_0 = all_8_5 & all_8_0 = all_8_1) % 49.92/8.04 | % 49.92/8.04 | DELTA: instantiating (45) with fresh symbols all_27_0, all_27_1 gives: % 49.92/8.04 | (73) r(all_8_1, all_8_5) = all_27_1 & product(all_8_1, all_8_5) = all_27_0 % 49.92/8.04 | & $i(all_27_0) & ( ~ (all_27_1 = 0) | (all_27_0 = all_8_5 & all_8_0 = % 49.92/8.04 | all_8_1)) % 49.92/8.04 | % 49.92/8.04 | ALPHA: (73) implies: % 49.92/8.04 | (74) product(all_8_1, all_8_5) = all_27_0 % 49.92/8.04 | % 49.92/8.04 | DELTA: instantiating (38) with fresh symbols all_29_0, all_29_1 gives: % 49.92/8.04 | (75) l(all_8_6, all_8_3) = all_29_1 & product(all_8_3, all_8_6) = all_29_0 % 49.92/8.04 | & $i(all_29_0) & ( ~ (all_29_1 = 0) | (all_29_0 = all_8_3 & all_8_2 = % 49.92/8.04 | all_8_6)) % 49.92/8.04 | % 49.92/8.04 | ALPHA: (75) implies: % 49.92/8.04 | (76) product(all_8_3, all_8_6) = all_29_0 % 49.92/8.04 | (77) l(all_8_6, all_8_3) = all_29_1 % 49.92/8.04 | (78) ~ (all_29_1 = 0) | (all_29_0 = all_8_3 & all_8_2 = all_8_6) % 49.92/8.04 | % 49.92/8.04 | DELTA: instantiating (43) with fresh symbols all_31_0, all_31_1 gives: % 49.92/8.04 | (79) l(all_8_5, all_8_6) = all_31_1 & product(all_8_6, all_8_5) = all_31_0 % 49.92/8.04 | & $i(all_31_0) & ( ~ (all_31_1 = 0) | (all_31_0 = all_8_6 & all_8_3 = % 49.92/8.04 | all_8_5)) % 49.92/8.04 | % 49.92/8.04 | ALPHA: (79) implies: % 49.92/8.04 | (80) product(all_8_6, all_8_5) = all_31_0 % 49.92/8.04 | (81) l(all_8_5, all_8_6) = all_31_1 % 49.92/8.04 | (82) ~ (all_31_1 = 0) | (all_31_0 = all_8_6 & all_8_3 = all_8_5) % 49.92/8.04 | % 49.92/8.04 | DELTA: instantiating (42) with fresh symbols all_33_0, all_33_1 gives: % 49.92/8.04 | (83) r(all_8_5, all_8_6) = all_33_1 & product(all_8_6, all_8_5) = all_33_0 % 49.92/8.04 | & $i(all_33_0) & ( ~ (all_33_1 = 0) | (all_33_0 = all_8_5 & all_8_3 = % 49.92/8.04 | all_8_6)) % 49.92/8.04 | % 49.92/8.04 | ALPHA: (83) implies: % 49.92/8.04 | (84) product(all_8_6, all_8_5) = all_33_0 % 49.92/8.04 | (85) r(all_8_5, all_8_6) = all_33_1 % 49.92/8.05 | (86) ~ (all_33_1 = 0) | (all_33_0 = all_8_5 & all_8_3 = all_8_6) % 49.92/8.05 | % 49.92/8.05 | DELTA: instantiating (37) with fresh symbols all_35_0, all_35_1 gives: % 49.92/8.05 | (87) r(all_8_6, all_8_3) = all_35_1 & product(all_8_3, all_8_6) = all_35_0 % 49.92/8.05 | & $i(all_35_0) & ( ~ (all_35_1 = 0) | (all_35_0 = all_8_6 & all_8_2 = % 49.92/8.05 | all_8_3)) % 49.92/8.05 | % 49.92/8.05 | ALPHA: (87) implies: % 49.92/8.05 | (88) product(all_8_3, all_8_6) = all_35_0 % 49.92/8.05 | (89) r(all_8_6, all_8_3) = all_35_1 % 49.92/8.05 | (90) ~ (all_35_1 = 0) | (all_35_0 = all_8_6 & all_8_2 = all_8_3) % 49.92/8.05 | % 49.92/8.05 | DELTA: instantiating (36) with fresh symbols all_37_0, all_37_1 gives: % 49.92/8.05 | (91) l(all_8_3, all_8_6) = all_37_1 & product(all_8_3, all_8_6) = all_37_0 % 49.92/8.05 | & $i(all_37_0) & ( ~ (all_37_1 = 0) | (all_37_0 = all_8_3 & all_8_2 = % 49.92/8.05 | all_8_6)) % 49.92/8.05 | % 49.92/8.05 | ALPHA: (91) implies: % 49.92/8.05 | (92) product(all_8_3, all_8_6) = all_37_0 % 49.92/8.05 | % 49.92/8.05 | DELTA: instantiating (33) with fresh symbols all_39_0, all_39_1 gives: % 49.92/8.05 | (93) r(all_8_6, all_8_5) = all_39_1 & product(all_8_5, all_8_6) = all_39_0 % 49.92/8.05 | & $i(all_39_0) & ( ~ (all_39_1 = 0) | (all_39_0 = all_8_6 & all_8_1 = % 49.92/8.05 | all_8_5)) % 49.92/8.05 | % 49.92/8.05 | ALPHA: (93) implies: % 49.92/8.05 | (94) product(all_8_5, all_8_6) = all_39_0 % 49.92/8.05 | (95) r(all_8_6, all_8_5) = all_39_1 % 49.92/8.05 | % 49.92/8.05 | DELTA: instantiating (32) with fresh symbols all_41_0, all_41_1 gives: % 50.29/8.05 | (96) l(all_8_5, all_8_6) = all_41_1 & product(all_8_5, all_8_6) = all_41_0 % 50.29/8.05 | & $i(all_41_0) & ( ~ (all_41_1 = 0) | (all_41_0 = all_8_5 & all_8_1 = % 50.29/8.05 | all_8_6)) % 50.29/8.05 | % 50.29/8.05 | ALPHA: (96) implies: % 50.29/8.05 | (97) product(all_8_5, all_8_6) = all_41_0 % 50.29/8.05 | (98) l(all_8_5, all_8_6) = all_41_1 % 50.29/8.05 | % 50.29/8.05 | DELTA: instantiating (35) with fresh symbols all_43_0, all_43_1 gives: % 50.29/8.05 | (99) r(all_8_3, all_8_6) = all_43_1 & product(all_8_3, all_8_6) = all_43_0 % 50.29/8.05 | & $i(all_43_0) & ( ~ (all_43_1 = 0) | (all_43_0 = all_8_6 & all_8_2 = % 50.29/8.05 | all_8_3)) % 50.29/8.05 | % 50.29/8.05 | ALPHA: (99) implies: % 50.29/8.05 | (100) product(all_8_3, all_8_6) = all_43_0 % 50.29/8.05 | % 50.29/8.05 | DELTA: instantiating (31) with fresh symbols all_45_0, all_45_1 gives: % 50.29/8.05 | (101) r(all_8_5, all_8_6) = all_45_1 & product(all_8_5, all_8_6) = all_45_0 % 50.29/8.05 | & $i(all_45_0) & ( ~ (all_45_1 = 0) | (all_45_0 = all_8_6 & all_8_1 = % 50.29/8.05 | all_8_5)) % 50.29/8.05 | % 50.29/8.05 | ALPHA: (101) implies: % 50.29/8.05 | (102) product(all_8_5, all_8_6) = all_45_0 % 50.29/8.05 | (103) r(all_8_5, all_8_6) = all_45_1 % 50.29/8.05 | % 50.29/8.05 | DELTA: instantiating (34) with fresh symbols all_47_0, all_47_1 gives: % 50.29/8.05 | (104) l(all_8_6, all_8_5) = all_47_1 & product(all_8_5, all_8_6) = all_47_0 % 50.29/8.05 | & $i(all_47_0) & ( ~ (all_47_1 = 0) | (all_47_0 = all_8_5 & all_8_1 = % 50.29/8.05 | all_8_6)) % 50.29/8.05 | % 50.29/8.05 | ALPHA: (104) implies: % 50.29/8.05 | (105) product(all_8_5, all_8_6) = all_47_0 % 50.29/8.05 | (106) l(all_8_6, all_8_5) = all_47_1 % 50.29/8.05 | % 50.29/8.05 | DELTA: instantiating (46) with fresh symbols all_49_0, all_49_1 gives: % 50.29/8.05 | (107) l(all_8_1, all_8_5) = all_49_1 & product(all_8_1, all_8_5) = all_49_0 % 50.29/8.05 | & $i(all_49_0) & ( ~ (all_49_1 = 0) | (all_49_0 = all_8_1 & all_8_0 = % 50.29/8.05 | all_8_5)) % 50.29/8.05 | % 50.29/8.05 | ALPHA: (107) implies: % 50.29/8.05 | (108) product(all_8_1, all_8_5) = all_49_0 % 50.29/8.05 | (109) l(all_8_1, all_8_5) = all_49_1 % 50.29/8.05 | % 50.29/8.06 | GROUND_INST: instantiating (17) with all_8_1, all_31_0, all_8_5, all_8_6, % 50.29/8.06 | simplifying with (25), (80) gives: % 50.29/8.06 | (110) all_31_0 = all_8_1 % 50.29/8.06 | % 50.29/8.06 | GROUND_INST: instantiating (17) with all_23_0, all_31_0, all_8_5, all_8_6, % 50.29/8.06 | simplifying with (66), (80) gives: % 50.29/8.06 | (111) all_31_0 = all_23_0 % 50.29/8.06 | % 50.29/8.06 | GROUND_INST: instantiating (17) with all_31_0, all_33_0, all_8_5, all_8_6, % 50.29/8.06 | simplifying with (80), (84) gives: % 50.29/8.06 | (112) all_33_0 = all_31_0 % 50.29/8.06 | % 50.29/8.06 | GROUND_INST: instantiating (17) with all_21_0, all_33_0, all_8_5, all_8_6, % 50.29/8.06 | simplifying with (62), (84) gives: % 50.29/8.06 | (113) all_33_0 = all_21_0 % 50.29/8.06 | % 50.29/8.06 | GROUND_INST: instantiating (17) with all_17_0, all_33_0, all_8_5, all_8_6, % 50.29/8.06 | simplifying with (55), (84) gives: % 50.29/8.06 | (114) all_33_0 = all_17_0 % 50.29/8.06 | % 50.29/8.06 | GROUND_INST: instantiating (17) with all_15_0, all_41_0, all_8_6, all_8_5, % 50.29/8.06 | simplifying with (51), (97) gives: % 50.29/8.06 | (115) all_41_0 = all_15_0 % 50.29/8.06 | % 50.29/8.06 | GROUND_INST: instantiating (17) with all_8_3, all_45_0, all_8_6, all_8_5, % 50.29/8.06 | simplifying with (27), (102) gives: % 50.29/8.06 | (116) all_45_0 = all_8_3 % 50.29/8.06 | % 50.29/8.06 | GROUND_INST: instantiating (17) with all_45_0, all_47_0, all_8_6, all_8_5, % 50.29/8.06 | simplifying with (102), (105) gives: % 50.29/8.06 | (117) all_47_0 = all_45_0 % 50.29/8.06 | % 50.29/8.06 | GROUND_INST: instantiating (17) with all_41_0, all_47_0, all_8_6, all_8_5, % 50.29/8.06 | simplifying with (97), (105) gives: % 50.29/8.06 | (118) all_47_0 = all_41_0 % 50.29/8.06 | % 50.29/8.06 | GROUND_INST: instantiating (17) with all_39_0, all_47_0, all_8_6, all_8_5, % 50.29/8.06 | simplifying with (94), (105) gives: % 50.29/8.06 | (119) all_47_0 = all_39_0 % 50.29/8.06 | % 50.29/8.06 | GROUND_INST: instantiating (17) with all_35_0, all_37_0, all_8_6, all_8_3, % 50.29/8.06 | simplifying with (88), (92) gives: % 50.29/8.06 | (120) all_37_0 = all_35_0 % 50.29/8.06 | % 50.29/8.06 | GROUND_INST: instantiating (17) with all_37_0, all_43_0, all_8_6, all_8_3, % 50.29/8.06 | simplifying with (92), (100) gives: % 50.29/8.06 | (121) all_43_0 = all_37_0 % 50.29/8.06 | % 50.29/8.06 | GROUND_INST: instantiating (17) with all_29_0, all_43_0, all_8_6, all_8_3, % 50.29/8.06 | simplifying with (76), (100) gives: % 50.29/8.06 | (122) all_43_0 = all_29_0 % 50.29/8.06 | % 50.29/8.06 | GROUND_INST: instantiating (17) with all_27_0, all_49_0, all_8_5, all_8_1, % 50.29/8.06 | simplifying with (74), (108) gives: % 50.29/8.06 | (123) all_49_0 = all_27_0 % 50.29/8.06 | % 50.29/8.06 | GROUND_INST: instantiating (17) with all_25_0, all_49_0, all_8_5, all_8_1, % 50.29/8.06 | simplifying with (70), (108) gives: % 50.29/8.06 | (124) all_49_0 = all_25_0 % 50.29/8.06 | % 50.29/8.06 | GROUND_INST: instantiating (17) with all_19_0, all_49_0, all_8_5, all_8_1, % 50.29/8.06 | simplifying with (58), (108) gives: % 50.29/8.06 | (125) all_49_0 = all_19_0 % 50.29/8.06 | % 50.29/8.06 | GROUND_INST: instantiating (18) with all_21_1, all_47_1, all_8_5, all_8_6, % 50.29/8.06 | simplifying with (63), (106) gives: % 50.29/8.06 | (126) all_47_1 = all_21_1 % 50.29/8.06 | % 50.29/8.06 | GROUND_INST: instantiating (18) with all_31_1, all_41_1, all_8_6, all_8_5, % 50.29/8.06 | simplifying with (81), (98) gives: % 50.29/8.06 | (127) all_41_1 = all_31_1 % 50.29/8.06 | % 50.29/8.06 | GROUND_INST: instantiating (19) with all_23_1, all_39_1, all_8_5, all_8_6, % 50.29/8.06 | simplifying with (67), (95) gives: % 50.29/8.07 | (128) all_39_1 = all_23_1 % 50.29/8.07 | % 50.29/8.07 | GROUND_INST: instantiating (19) with all_33_1, all_45_1, all_8_6, all_8_5, % 50.29/8.07 | simplifying with (85), (103) gives: % 50.29/8.07 | (129) all_45_1 = all_33_1 % 50.29/8.07 | % 50.29/8.07 | COMBINE_EQS: (123), (124) imply: % 50.29/8.07 | (130) all_27_0 = all_25_0 % 50.29/8.07 | % 50.29/8.07 | COMBINE_EQS: (123), (125) imply: % 50.29/8.07 | (131) all_27_0 = all_19_0 % 50.29/8.07 | % 50.29/8.07 | COMBINE_EQS: (118), (119) imply: % 50.29/8.07 | (132) all_41_0 = all_39_0 % 50.29/8.07 | % 50.29/8.07 | SIMP: (132) implies: % 50.29/8.07 | (133) all_41_0 = all_39_0 % 50.29/8.07 | % 50.29/8.07 | COMBINE_EQS: (117), (119) imply: % 50.29/8.07 | (134) all_45_0 = all_39_0 % 50.29/8.07 | % 50.29/8.07 | SIMP: (134) implies: % 50.29/8.07 | (135) all_45_0 = all_39_0 % 50.29/8.07 | % 50.29/8.07 | COMBINE_EQS: (116), (135) imply: % 50.29/8.07 | (136) all_39_0 = all_8_3 % 50.29/8.07 | % 50.29/8.07 | SIMP: (136) implies: % 50.29/8.07 | (137) all_39_0 = all_8_3 % 50.29/8.07 | % 50.29/8.07 | COMBINE_EQS: (121), (122) imply: % 50.29/8.07 | (138) all_37_0 = all_29_0 % 50.29/8.07 | % 50.29/8.07 | SIMP: (138) implies: % 50.29/8.07 | (139) all_37_0 = all_29_0 % 50.29/8.07 | % 50.29/8.07 | COMBINE_EQS: (115), (133) imply: % 50.29/8.07 | (140) all_39_0 = all_15_0 % 50.29/8.07 | % 50.29/8.07 | SIMP: (140) implies: % 50.29/8.07 | (141) all_39_0 = all_15_0 % 50.29/8.07 | % 50.29/8.07 | COMBINE_EQS: (137), (141) imply: % 50.29/8.07 | (142) all_15_0 = all_8_3 % 50.29/8.07 | % 50.29/8.07 | SIMP: (142) implies: % 50.29/8.07 | (143) all_15_0 = all_8_3 % 50.29/8.07 | % 50.29/8.07 | COMBINE_EQS: (120), (139) imply: % 50.29/8.07 | (144) all_35_0 = all_29_0 % 50.29/8.07 | % 50.29/8.07 | SIMP: (144) implies: % 50.29/8.07 | (145) all_35_0 = all_29_0 % 50.29/8.07 | % 50.29/8.07 | COMBINE_EQS: (112), (113) imply: % 50.29/8.07 | (146) all_31_0 = all_21_0 % 50.29/8.07 | % 50.29/8.07 | SIMP: (146) implies: % 50.29/8.07 | (147) all_31_0 = all_21_0 % 50.29/8.07 | % 50.29/8.07 | COMBINE_EQS: (113), (114) imply: % 50.29/8.07 | (148) all_21_0 = all_17_0 % 50.29/8.07 | % 50.29/8.07 | COMBINE_EQS: (110), (111) imply: % 50.29/8.07 | (149) all_23_0 = all_8_1 % 50.29/8.07 | % 50.29/8.07 | COMBINE_EQS: (111), (147) imply: % 50.29/8.07 | (150) all_23_0 = all_21_0 % 50.29/8.07 | % 50.29/8.07 | COMBINE_EQS: (130), (131) imply: % 50.29/8.07 | (151) all_25_0 = all_19_0 % 50.29/8.07 | % 50.29/8.07 | SIMP: (151) implies: % 50.29/8.07 | (152) all_25_0 = all_19_0 % 50.29/8.07 | % 50.29/8.07 | COMBINE_EQS: (149), (150) imply: % 50.29/8.07 | (153) all_21_0 = all_8_1 % 50.29/8.07 | % 50.29/8.07 | SIMP: (153) implies: % 50.39/8.07 | (154) all_21_0 = all_8_1 % 50.39/8.07 | % 50.39/8.07 | COMBINE_EQS: (148), (154) imply: % 50.39/8.07 | (155) all_17_0 = all_8_1 % 50.39/8.07 | % 50.39/8.07 | COMBINE_EQS: (113), (154) imply: % 50.39/8.07 | (156) all_33_0 = all_8_1 % 50.39/8.07 | % 50.39/8.07 | REDUCE: (56), (155) imply: % 50.39/8.07 | (157) product(all_8_1, all_8_6) = all_8_2 % 50.39/8.07 | % 50.39/8.07 | REDUCE: (52), (143) imply: % 50.39/8.07 | (158) product(all_8_3, all_8_5) = all_8_0 % 50.39/8.07 | % 50.39/8.07 | GROUND_INST: instantiating (2) with all_8_6, all_8_6, all_8_5, all_8_3, % 50.39/8.07 | all_29_0, simplifying with (21), (22), (27), (76) gives: % 50.39/8.07 | (159) ? [v0: $i] : (product(all_8_5, v0) = all_29_0 & product(all_8_6, % 50.39/8.07 | all_8_6) = v0 & $i(v0) & $i(all_29_0)) % 50.39/8.07 | % 50.39/8.07 | GROUND_INST: instantiating (13) with all_8_6, all_8_3, all_29_0, simplifying % 50.39/8.07 | with (21), (23), (76) gives: % 50.39/8.08 | (160) ? [v0: any] : ? [v1: $i] : (r(all_8_6, all_8_3) = v0 & % 50.39/8.08 | product(all_8_6, all_8_3) = v1 & $i(v1) & ( ~ (v0 = 0) | (v1 = % 50.39/8.08 | all_8_3 & all_29_0 = all_8_6))) % 50.39/8.08 | % 50.39/8.08 | GROUND_INST: instantiating (7) with all_8_6, all_8_3, all_29_0, simplifying % 50.39/8.08 | with (21), (23), (76) gives: % 50.39/8.08 | (161) ? [v0: any] : ? [v1: $i] : (l(all_8_6, all_8_3) = v0 & % 50.39/8.08 | product(all_8_6, all_8_3) = v1 & $i(v1) & ( ~ (v0 = 0) | (v1 = % 50.39/8.08 | all_8_6 & all_29_0 = all_8_3))) % 50.39/8.08 | % 50.39/8.08 | GROUND_INST: instantiating (12) with all_8_3, all_8_6, all_29_0, simplifying % 50.39/8.08 | with (21), (23), (76) gives: % 50.39/8.08 | (162) ? [v0: any] : ? [v1: $i] : (r(all_8_3, all_8_6) = v0 & % 50.39/8.08 | product(all_8_6, all_8_3) = v1 & $i(v1) & ( ~ (v0 = 0) | (v1 = % 50.39/8.08 | all_8_3 & all_29_0 = all_8_6))) % 50.39/8.08 | % 50.39/8.08 | GROUND_INST: instantiating (6) with all_8_3, all_8_6, all_29_0, simplifying % 50.39/8.08 | with (21), (23), (76) gives: % 50.39/8.08 | (163) ? [v0: any] : ? [v1: $i] : (l(all_8_3, all_8_6) = v0 & % 50.39/8.08 | product(all_8_6, all_8_3) = v1 & $i(v1) & ( ~ (v0 = 0) | (v1 = % 50.39/8.08 | all_8_6 & all_29_0 = all_8_3))) % 50.39/8.08 | % 50.39/8.08 | GROUND_INST: instantiating (13) with all_8_5, all_8_3, all_8_0, simplifying % 50.39/8.08 | with (22), (23), (158) gives: % 50.39/8.08 | (164) ? [v0: any] : ? [v1: $i] : (r(all_8_5, all_8_3) = v0 & % 50.39/8.08 | product(all_8_5, all_8_3) = v1 & $i(v1) & ( ~ (v0 = 0) | (v1 = % 50.39/8.08 | all_8_3 & all_8_0 = all_8_5))) % 50.39/8.08 | % 50.39/8.08 | GROUND_INST: instantiating (7) with all_8_5, all_8_3, all_8_0, simplifying % 50.39/8.08 | with (22), (23), (158) gives: % 50.39/8.08 | (165) ? [v0: any] : ? [v1: $i] : (l(all_8_5, all_8_3) = v0 & % 50.39/8.08 | product(all_8_5, all_8_3) = v1 & $i(v1) & ( ~ (v0 = 0) | (v1 = % 50.39/8.08 | all_8_5 & all_8_0 = all_8_3))) % 50.39/8.08 | % 50.39/8.08 | GROUND_INST: instantiating (12) with all_8_3, all_8_5, all_8_0, simplifying % 50.39/8.08 | with (22), (23), (158) gives: % 50.39/8.08 | (166) ? [v0: any] : ? [v1: $i] : (r(all_8_3, all_8_5) = v0 & % 50.39/8.08 | product(all_8_5, all_8_3) = v1 & $i(v1) & ( ~ (v0 = 0) | (v1 = % 50.39/8.08 | all_8_3 & all_8_0 = all_8_5))) % 50.39/8.08 | % 50.39/8.08 | GROUND_INST: instantiating (6) with all_8_3, all_8_5, all_8_0, simplifying % 50.39/8.08 | with (22), (23), (158) gives: % 50.39/8.08 | (167) ? [v0: any] : ? [v1: $i] : (l(all_8_3, all_8_5) = v0 & % 50.39/8.08 | product(all_8_5, all_8_3) = v1 & $i(v1) & ( ~ (v0 = 0) | (v1 = % 50.39/8.08 | all_8_5 & all_8_0 = all_8_3))) % 50.39/8.08 | % 50.39/8.08 | GROUND_INST: instantiating (13) with all_8_6, all_8_1, all_8_2, simplifying % 50.39/8.08 | with (21), (24), (157) gives: % 50.39/8.08 | (168) ? [v0: any] : ? [v1: $i] : (r(all_8_6, all_8_1) = v0 & % 50.39/8.08 | product(all_8_6, all_8_1) = v1 & $i(v1) & ( ~ (v0 = 0) | (v1 = % 50.39/8.08 | all_8_1 & all_8_2 = all_8_6))) % 50.39/8.08 | % 50.39/8.08 | GROUND_INST: instantiating (7) with all_8_6, all_8_1, all_8_2, simplifying % 50.39/8.08 | with (21), (24), (157) gives: % 50.39/8.08 | (169) ? [v0: any] : ? [v1: $i] : (l(all_8_6, all_8_1) = v0 & % 50.39/8.08 | product(all_8_6, all_8_1) = v1 & $i(v1) & ( ~ (v0 = 0) | (v1 = % 50.39/8.08 | all_8_6 & all_8_1 = all_8_2))) % 50.39/8.08 | % 50.39/8.08 | GROUND_INST: instantiating (12) with all_8_1, all_8_6, all_8_2, simplifying % 50.39/8.08 | with (21), (24), (157) gives: % 50.39/8.09 | (170) ? [v0: any] : ? [v1: $i] : (r(all_8_1, all_8_6) = v0 & % 50.39/8.09 | product(all_8_6, all_8_1) = v1 & $i(v1) & ( ~ (v0 = 0) | (v1 = % 50.39/8.09 | all_8_1 & all_8_2 = all_8_6))) % 50.39/8.09 | % 50.39/8.09 | GROUND_INST: instantiating (6) with all_8_1, all_8_6, all_8_2, simplifying % 50.39/8.09 | with (21), (24), (157) gives: % 50.39/8.09 | (171) ? [v0: any] : ? [v1: $i] : (l(all_8_1, all_8_6) = v0 & % 50.39/8.09 | product(all_8_6, all_8_1) = v1 & $i(v1) & ( ~ (v0 = 0) | (v1 = % 50.39/8.09 | all_8_6 & all_8_1 = all_8_2))) % 50.39/8.09 | % 50.39/8.09 | GROUND_INST: instantiating (2) with all_8_5, all_8_5, all_8_6, all_8_1, % 50.39/8.09 | all_19_0, simplifying with (21), (22), (25), (58) gives: % 50.39/8.09 | (172) ? [v0: $i] : (product(all_8_5, all_8_5) = v0 & product(all_8_6, v0) % 50.39/8.09 | = all_19_0 & $i(v0) & $i(all_19_0)) % 50.39/8.09 | % 50.39/8.09 | GROUND_INST: instantiating (13) with all_8_5, all_8_1, all_19_0, simplifying % 50.39/8.09 | with (22), (24), (58) gives: % 50.39/8.09 | (173) ? [v0: any] : ? [v1: $i] : (r(all_8_5, all_8_1) = v0 & % 50.39/8.09 | product(all_8_5, all_8_1) = v1 & $i(v1) & ( ~ (v0 = 0) | (v1 = % 50.39/8.09 | all_8_1 & all_19_0 = all_8_5))) % 50.39/8.09 | % 50.39/8.09 | GROUND_INST: instantiating (7) with all_8_5, all_8_1, all_19_0, simplifying % 50.39/8.09 | with (22), (24), (58) gives: % 50.39/8.09 | (174) ? [v0: any] : ? [v1: $i] : (l(all_8_5, all_8_1) = v0 & % 50.39/8.09 | product(all_8_5, all_8_1) = v1 & $i(v1) & ( ~ (v0 = 0) | (v1 = % 50.39/8.09 | all_8_5 & all_19_0 = all_8_1))) % 50.39/8.09 | % 50.39/8.09 | GROUND_INST: instantiating (12) with all_8_1, all_8_5, all_19_0, simplifying % 50.39/8.09 | with (22), (24), (58) gives: % 50.39/8.09 | (175) ? [v0: any] : ? [v1: $i] : (r(all_8_1, all_8_5) = v0 & % 50.39/8.09 | product(all_8_5, all_8_1) = v1 & $i(v1) & ( ~ (v0 = 0) | (v1 = % 50.39/8.09 | all_8_1 & all_19_0 = all_8_5))) % 50.39/8.09 | % 50.39/8.09 | GROUND_INST: instantiating (6) with all_8_1, all_8_5, all_19_0, simplifying % 50.39/8.09 | with (22), (24), (58) gives: % 50.39/8.09 | (176) ? [v0: any] : ? [v1: $i] : (l(all_8_1, all_8_5) = v0 & % 50.39/8.09 | product(all_8_5, all_8_1) = v1 & $i(v1) & ( ~ (v0 = 0) | (v1 = % 50.39/8.09 | all_8_5 & all_19_0 = all_8_1))) % 50.39/8.09 | % 50.39/8.09 | GROUND_INST: instantiating (8) with all_8_6, all_8_5, all_21_1, simplifying % 50.39/8.09 | with (21), (22), (63) gives: % 50.39/8.09 | (177) all_21_1 = 0 | ? [v0: $i] : ? [v1: $i] : (product(all_8_5, all_8_6) % 50.39/8.09 | = v1 & product(all_8_6, all_8_5) = v0 & $i(v1) & $i(v0) & ( ~ (v1 = % 50.39/8.09 | all_8_5) | ~ (v0 = all_8_6))) % 50.39/8.09 | % 50.39/8.09 | GROUND_INST: instantiating (8) with all_8_6, all_8_3, all_29_1, simplifying % 50.39/8.09 | with (21), (23), (77) gives: % 50.39/8.09 | (178) all_29_1 = 0 | ? [v0: $i] : ? [v1: $i] : (product(all_8_3, all_8_6) % 50.39/8.09 | = v1 & product(all_8_6, all_8_3) = v0 & $i(v1) & $i(v0) & ( ~ (v1 = % 50.39/8.09 | all_8_3) | ~ (v0 = all_8_6))) % 50.39/8.09 | % 50.39/8.09 | GROUND_INST: instantiating (8) with all_8_5, all_8_6, all_31_1, simplifying % 50.39/8.09 | with (21), (22), (81) gives: % 50.39/8.09 | (179) all_31_1 = 0 | ? [v0: $i] : ? [v1: $i] : (product(all_8_5, all_8_6) % 50.39/8.09 | = v0 & product(all_8_6, all_8_5) = v1 & $i(v1) & $i(v0) & ( ~ (v1 = % 50.39/8.09 | all_8_6) | ~ (v0 = all_8_5))) % 50.39/8.09 | % 50.39/8.10 | GROUND_INST: instantiating (8) with all_8_5, all_8_1, all_19_1, simplifying % 50.39/8.10 | with (22), (24), (59) gives: % 50.39/8.10 | (180) all_19_1 = 0 | ? [v0: $i] : ? [v1: $i] : (product(all_8_1, all_8_5) % 50.39/8.10 | = v1 & product(all_8_5, all_8_1) = v0 & $i(v1) & $i(v0) & ( ~ (v1 = % 50.39/8.10 | all_8_1) | ~ (v0 = all_8_5))) % 50.39/8.10 | % 50.39/8.10 | GROUND_INST: instantiating (8) with all_8_1, all_8_5, all_49_1, simplifying % 50.39/8.10 | with (22), (24), (109) gives: % 50.39/8.10 | (181) all_49_1 = 0 | ? [v0: $i] : ? [v1: $i] : (product(all_8_1, all_8_5) % 50.39/8.10 | = v0 & product(all_8_5, all_8_1) = v1 & $i(v1) & $i(v0) & ( ~ (v1 = % 50.39/8.10 | all_8_5) | ~ (v0 = all_8_1))) % 50.39/8.10 | % 50.39/8.10 | GROUND_INST: instantiating (14) with all_8_6, all_8_5, all_23_1, simplifying % 50.39/8.10 | with (21), (22), (67) gives: % 50.39/8.10 | (182) all_23_1 = 0 | ? [v0: $i] : ? [v1: $i] : (product(all_8_5, all_8_6) % 50.39/8.10 | = v1 & product(all_8_6, all_8_5) = v0 & $i(v1) & $i(v0) & ( ~ (v1 = % 50.39/8.10 | all_8_6) | ~ (v0 = all_8_5))) % 50.39/8.10 | % 50.39/8.10 | GROUND_INST: instantiating (14) with all_8_6, all_8_3, all_35_1, simplifying % 50.39/8.10 | with (21), (23), (89) gives: % 50.39/8.10 | (183) all_35_1 = 0 | ? [v0: $i] : ? [v1: $i] : (product(all_8_3, all_8_6) % 50.39/8.10 | = v1 & product(all_8_6, all_8_3) = v0 & $i(v1) & $i(v0) & ( ~ (v1 = % 50.39/8.10 | all_8_6) | ~ (v0 = all_8_3))) % 50.39/8.10 | % 50.39/8.10 | GROUND_INST: instantiating (14) with all_8_5, all_8_6, all_33_1, simplifying % 50.39/8.10 | with (21), (22), (85) gives: % 50.39/8.10 | (184) all_33_1 = 0 | ? [v0: $i] : ? [v1: $i] : (product(all_8_5, all_8_6) % 50.39/8.10 | = v0 & product(all_8_6, all_8_5) = v1 & $i(v1) & $i(v0) & ( ~ (v1 = % 50.39/8.10 | all_8_5) | ~ (v0 = all_8_6))) % 50.39/8.10 | % 50.39/8.10 | GROUND_INST: instantiating (14) with all_8_5, all_8_1, all_25_1, simplifying % 50.39/8.10 | with (22), (24), (71) gives: % 50.39/8.10 | (185) all_25_1 = 0 | ? [v0: $i] : ? [v1: $i] : (product(all_8_1, all_8_5) % 50.39/8.10 | = v1 & product(all_8_5, all_8_1) = v0 & $i(v1) & $i(v0) & ( ~ (v1 = % 50.39/8.10 | all_8_5) | ~ (v0 = all_8_1))) % 50.39/8.10 | % 50.39/8.10 | DELTA: instantiating (172) with fresh symbol all_60_0 gives: % 50.39/8.10 | (186) product(all_8_5, all_8_5) = all_60_0 & product(all_8_6, all_60_0) = % 50.39/8.10 | all_19_0 & $i(all_60_0) & $i(all_19_0) % 50.39/8.10 | % 50.39/8.10 | ALPHA: (186) implies: % 50.39/8.10 | (187) $i(all_60_0) % 50.39/8.10 | (188) product(all_8_6, all_60_0) = all_19_0 % 50.39/8.10 | (189) product(all_8_5, all_8_5) = all_60_0 % 50.39/8.10 | % 50.39/8.10 | DELTA: instantiating (159) with fresh symbol all_62_0 gives: % 50.39/8.10 | (190) product(all_8_5, all_62_0) = all_29_0 & product(all_8_6, all_8_6) = % 50.39/8.10 | all_62_0 & $i(all_62_0) & $i(all_29_0) % 50.39/8.10 | % 50.39/8.10 | ALPHA: (190) implies: % 50.39/8.10 | (191) $i(all_62_0) % 50.39/8.10 | (192) product(all_8_6, all_8_6) = all_62_0 % 50.39/8.10 | (193) product(all_8_5, all_62_0) = all_29_0 % 50.39/8.10 | % 50.39/8.10 | DELTA: instantiating (166) with fresh symbols all_64_0, all_64_1 gives: % 50.39/8.10 | (194) r(all_8_3, all_8_5) = all_64_1 & product(all_8_5, all_8_3) = all_64_0 % 50.39/8.10 | & $i(all_64_0) & ( ~ (all_64_1 = 0) | (all_64_0 = all_8_3 & all_8_0 = % 50.39/8.10 | all_8_5)) % 50.39/8.10 | % 50.39/8.10 | ALPHA: (194) implies: % 50.39/8.10 | (195) product(all_8_5, all_8_3) = all_64_0 % 50.39/8.10 | % 50.39/8.10 | DELTA: instantiating (164) with fresh symbols all_66_0, all_66_1 gives: % 50.39/8.10 | (196) r(all_8_5, all_8_3) = all_66_1 & product(all_8_5, all_8_3) = all_66_0 % 50.39/8.10 | & $i(all_66_0) & ( ~ (all_66_1 = 0) | (all_66_0 = all_8_3 & all_8_0 = % 50.39/8.10 | all_8_5)) % 50.39/8.10 | % 50.39/8.10 | ALPHA: (196) implies: % 50.39/8.10 | (197) product(all_8_5, all_8_3) = all_66_0 % 50.39/8.10 | % 50.39/8.10 | DELTA: instantiating (163) with fresh symbols all_68_0, all_68_1 gives: % 50.39/8.10 | (198) l(all_8_3, all_8_6) = all_68_1 & product(all_8_6, all_8_3) = all_68_0 % 50.39/8.10 | & $i(all_68_0) & ( ~ (all_68_1 = 0) | (all_68_0 = all_8_6 & all_29_0 % 50.39/8.10 | = all_8_3)) % 50.39/8.10 | % 50.39/8.10 | ALPHA: (198) implies: % 50.39/8.10 | (199) product(all_8_6, all_8_3) = all_68_0 % 50.39/8.10 | % 50.39/8.10 | DELTA: instantiating (165) with fresh symbols all_70_0, all_70_1 gives: % 50.39/8.11 | (200) l(all_8_5, all_8_3) = all_70_1 & product(all_8_5, all_8_3) = all_70_0 % 50.39/8.11 | & $i(all_70_0) & ( ~ (all_70_1 = 0) | (all_70_0 = all_8_5 & all_8_0 = % 50.39/8.11 | all_8_3)) % 50.39/8.11 | % 50.39/8.11 | ALPHA: (200) implies: % 50.39/8.11 | (201) product(all_8_5, all_8_3) = all_70_0 % 50.39/8.11 | (202) l(all_8_5, all_8_3) = all_70_1 % 50.39/8.11 | (203) ~ (all_70_1 = 0) | (all_70_0 = all_8_5 & all_8_0 = all_8_3) % 50.39/8.11 | % 50.39/8.11 | DELTA: instantiating (174) with fresh symbols all_72_0, all_72_1 gives: % 50.39/8.11 | (204) l(all_8_5, all_8_1) = all_72_1 & product(all_8_5, all_8_1) = all_72_0 % 50.39/8.11 | & $i(all_72_0) & ( ~ (all_72_1 = 0) | (all_72_0 = all_8_5 & all_19_0 % 50.39/8.11 | = all_8_1)) % 50.39/8.11 | % 50.39/8.11 | ALPHA: (204) implies: % 50.39/8.11 | (205) product(all_8_5, all_8_1) = all_72_0 % 50.39/8.11 | (206) l(all_8_5, all_8_1) = all_72_1 % 50.39/8.11 | % 50.39/8.11 | DELTA: instantiating (173) with fresh symbols all_74_0, all_74_1 gives: % 50.39/8.11 | (207) r(all_8_5, all_8_1) = all_74_1 & product(all_8_5, all_8_1) = all_74_0 % 50.39/8.11 | & $i(all_74_0) & ( ~ (all_74_1 = 0) | (all_74_0 = all_8_1 & all_19_0 % 50.39/8.11 | = all_8_5)) % 50.39/8.11 | % 50.39/8.11 | ALPHA: (207) implies: % 50.39/8.11 | (208) product(all_8_5, all_8_1) = all_74_0 % 50.39/8.11 | % 50.39/8.11 | DELTA: instantiating (176) with fresh symbols all_76_0, all_76_1 gives: % 50.39/8.11 | (209) l(all_8_1, all_8_5) = all_76_1 & product(all_8_5, all_8_1) = all_76_0 % 50.39/8.11 | & $i(all_76_0) & ( ~ (all_76_1 = 0) | (all_76_0 = all_8_5 & all_19_0 % 50.39/8.11 | = all_8_1)) % 50.39/8.11 | % 50.39/8.11 | ALPHA: (209) implies: % 50.39/8.11 | (210) product(all_8_5, all_8_1) = all_76_0 % 50.39/8.11 | (211) l(all_8_1, all_8_5) = all_76_1 % 50.39/8.11 | % 50.39/8.11 | DELTA: instantiating (175) with fresh symbols all_78_0, all_78_1 gives: % 50.39/8.11 | (212) r(all_8_1, all_8_5) = all_78_1 & product(all_8_5, all_8_1) = all_78_0 % 50.39/8.11 | & $i(all_78_0) & ( ~ (all_78_1 = 0) | (all_78_0 = all_8_1 & all_19_0 % 50.39/8.11 | = all_8_5)) % 50.39/8.11 | % 50.39/8.11 | ALPHA: (212) implies: % 50.39/8.11 | (213) product(all_8_5, all_8_1) = all_78_0 % 50.39/8.11 | % 50.39/8.11 | DELTA: instantiating (171) with fresh symbols all_80_0, all_80_1 gives: % 50.39/8.11 | (214) l(all_8_1, all_8_6) = all_80_1 & product(all_8_6, all_8_1) = all_80_0 % 50.39/8.11 | & $i(all_80_0) & ( ~ (all_80_1 = 0) | (all_80_0 = all_8_6 & all_8_1 = % 50.39/8.11 | all_8_2)) % 50.39/8.11 | % 50.39/8.11 | ALPHA: (214) implies: % 50.39/8.11 | (215) product(all_8_6, all_8_1) = all_80_0 % 50.39/8.11 | (216) l(all_8_1, all_8_6) = all_80_1 % 50.39/8.11 | (217) ~ (all_80_1 = 0) | (all_80_0 = all_8_6 & all_8_1 = all_8_2) % 50.39/8.11 | % 50.39/8.11 | DELTA: instantiating (170) with fresh symbols all_82_0, all_82_1 gives: % 50.39/8.11 | (218) r(all_8_1, all_8_6) = all_82_1 & product(all_8_6, all_8_1) = all_82_0 % 50.39/8.11 | & $i(all_82_0) & ( ~ (all_82_1 = 0) | (all_82_0 = all_8_1 & all_8_2 = % 50.39/8.11 | all_8_6)) % 50.39/8.11 | % 50.39/8.11 | ALPHA: (218) implies: % 50.39/8.11 | (219) product(all_8_6, all_8_1) = all_82_0 % 50.39/8.11 | % 50.39/8.11 | DELTA: instantiating (169) with fresh symbols all_84_0, all_84_1 gives: % 50.39/8.11 | (220) l(all_8_6, all_8_1) = all_84_1 & product(all_8_6, all_8_1) = all_84_0 % 50.39/8.11 | & $i(all_84_0) & ( ~ (all_84_1 = 0) | (all_84_0 = all_8_6 & all_8_1 = % 50.39/8.11 | all_8_2)) % 50.39/8.11 | % 50.39/8.11 | ALPHA: (220) implies: % 50.39/8.11 | (221) product(all_8_6, all_8_1) = all_84_0 % 50.39/8.11 | % 50.39/8.11 | DELTA: instantiating (168) with fresh symbols all_86_0, all_86_1 gives: % 50.39/8.11 | (222) r(all_8_6, all_8_1) = all_86_1 & product(all_8_6, all_8_1) = all_86_0 % 50.39/8.11 | & $i(all_86_0) & ( ~ (all_86_1 = 0) | (all_86_0 = all_8_1 & all_8_2 = % 50.39/8.11 | all_8_6)) % 50.39/8.11 | % 50.39/8.11 | ALPHA: (222) implies: % 50.39/8.11 | (223) product(all_8_6, all_8_1) = all_86_0 % 50.39/8.11 | (224) r(all_8_6, all_8_1) = all_86_1 % 50.39/8.11 | % 50.39/8.11 | DELTA: instantiating (167) with fresh symbols all_88_0, all_88_1 gives: % 50.39/8.11 | (225) l(all_8_3, all_8_5) = all_88_1 & product(all_8_5, all_8_3) = all_88_0 % 50.39/8.11 | & $i(all_88_0) & ( ~ (all_88_1 = 0) | (all_88_0 = all_8_5 & all_8_0 = % 50.39/8.11 | all_8_3)) % 50.39/8.11 | % 50.39/8.11 | ALPHA: (225) implies: % 50.39/8.11 | (226) product(all_8_5, all_8_3) = all_88_0 % 50.39/8.11 | (227) l(all_8_3, all_8_5) = all_88_1 % 50.39/8.11 | (228) ~ (all_88_1 = 0) | (all_88_0 = all_8_5 & all_8_0 = all_8_3) % 50.39/8.11 | % 50.39/8.11 | DELTA: instantiating (162) with fresh symbols all_90_0, all_90_1 gives: % 50.39/8.11 | (229) r(all_8_3, all_8_6) = all_90_1 & product(all_8_6, all_8_3) = all_90_0 % 50.39/8.11 | & $i(all_90_0) & ( ~ (all_90_1 = 0) | (all_90_0 = all_8_3 & all_29_0 % 50.39/8.11 | = all_8_6)) % 50.39/8.11 | % 50.39/8.11 | ALPHA: (229) implies: % 50.39/8.11 | (230) product(all_8_6, all_8_3) = all_90_0 % 50.39/8.11 | % 50.39/8.11 | DELTA: instantiating (161) with fresh symbols all_92_0, all_92_1 gives: % 50.39/8.11 | (231) l(all_8_6, all_8_3) = all_92_1 & product(all_8_6, all_8_3) = all_92_0 % 50.39/8.11 | & $i(all_92_0) & ( ~ (all_92_1 = 0) | (all_92_0 = all_8_6 & all_29_0 % 50.39/8.11 | = all_8_3)) % 50.39/8.11 | % 50.39/8.11 | ALPHA: (231) implies: % 50.39/8.11 | (232) product(all_8_6, all_8_3) = all_92_0 % 50.39/8.11 | (233) l(all_8_6, all_8_3) = all_92_1 % 50.39/8.11 | % 50.39/8.11 | DELTA: instantiating (160) with fresh symbols all_94_0, all_94_1 gives: % 50.39/8.11 | (234) r(all_8_6, all_8_3) = all_94_1 & product(all_8_6, all_8_3) = all_94_0 % 50.39/8.11 | & $i(all_94_0) & ( ~ (all_94_1 = 0) | (all_94_0 = all_8_3 & all_29_0 % 50.39/8.11 | = all_8_6)) % 50.39/8.11 | % 50.39/8.12 | ALPHA: (234) implies: % 50.39/8.12 | (235) product(all_8_6, all_8_3) = all_94_0 % 50.39/8.12 | % 50.39/8.12 | GROUND_INST: instantiating (17) with all_68_0, all_90_0, all_8_3, all_8_6, % 50.39/8.12 | simplifying with (199), (230) gives: % 50.39/8.12 | (236) all_90_0 = all_68_0 % 50.39/8.12 | % 50.39/8.12 | GROUND_INST: instantiating (17) with all_8_2, all_94_0, all_8_3, all_8_6, % 50.39/8.12 | simplifying with (26), (235) gives: % 50.39/8.12 | (237) all_94_0 = all_8_2 % 50.39/8.12 | % 50.39/8.12 | GROUND_INST: instantiating (17) with all_92_0, all_94_0, all_8_3, all_8_6, % 50.39/8.12 | simplifying with (232), (235) gives: % 50.39/8.12 | (238) all_94_0 = all_92_0 % 50.39/8.12 | % 50.39/8.12 | GROUND_INST: instantiating (17) with all_90_0, all_94_0, all_8_3, all_8_6, % 50.39/8.12 | simplifying with (230), (235) gives: % 50.39/8.12 | (239) all_94_0 = all_90_0 % 50.39/8.12 | % 50.39/8.12 | GROUND_INST: instantiating (17) with all_84_0, all_86_0, all_8_1, all_8_6, % 50.39/8.12 | simplifying with (221), (223) gives: % 50.39/8.12 | (240) all_86_0 = all_84_0 % 50.39/8.12 | % 50.39/8.12 | GROUND_INST: instantiating (17) with all_82_0, all_86_0, all_8_1, all_8_6, % 50.39/8.12 | simplifying with (219), (223) gives: % 50.39/8.12 | (241) all_86_0 = all_82_0 % 50.39/8.12 | % 50.39/8.12 | GROUND_INST: instantiating (17) with all_80_0, all_86_0, all_8_1, all_8_6, % 50.39/8.12 | simplifying with (215), (223) gives: % 50.39/8.12 | (242) all_86_0 = all_80_0 % 50.39/8.12 | % 50.39/8.12 | GROUND_INST: instantiating (17) with all_66_0, all_70_0, all_8_3, all_8_5, % 50.39/8.12 | simplifying with (197), (201) gives: % 50.39/8.12 | (243) all_70_0 = all_66_0 % 50.39/8.12 | % 50.62/8.12 | GROUND_INST: instantiating (17) with all_70_0, all_88_0, all_8_3, all_8_5, % 50.62/8.12 | simplifying with (201), (226) gives: % 50.62/8.12 | (244) all_88_0 = all_70_0 % 50.62/8.12 | % 50.62/8.12 | GROUND_INST: instantiating (17) with all_64_0, all_88_0, all_8_3, all_8_5, % 50.62/8.12 | simplifying with (195), (226) gives: % 50.62/8.12 | (245) all_88_0 = all_64_0 % 50.62/8.12 | % 50.62/8.12 | GROUND_INST: instantiating (17) with all_8_0, all_76_0, all_8_1, all_8_5, % 50.62/8.12 | simplifying with (28), (210) gives: % 50.62/8.12 | (246) all_76_0 = all_8_0 % 50.62/8.12 | % 50.62/8.12 | GROUND_INST: instantiating (17) with all_76_0, all_78_0, all_8_1, all_8_5, % 50.62/8.12 | simplifying with (210), (213) gives: % 50.62/8.12 | (247) all_78_0 = all_76_0 % 50.62/8.12 | % 50.62/8.12 | GROUND_INST: instantiating (17) with all_74_0, all_78_0, all_8_1, all_8_5, % 50.62/8.12 | simplifying with (208), (213) gives: % 50.62/8.12 | (248) all_78_0 = all_74_0 % 50.62/8.12 | % 50.62/8.12 | GROUND_INST: instantiating (17) with all_72_0, all_78_0, all_8_1, all_8_5, % 50.62/8.12 | simplifying with (205), (213) gives: % 50.62/8.12 | (249) all_78_0 = all_72_0 % 50.62/8.12 | % 50.62/8.12 | GROUND_INST: instantiating (18) with all_29_1, all_92_1, all_8_3, all_8_6, % 50.62/8.12 | simplifying with (77), (233) gives: % 50.62/8.12 | (250) all_92_1 = all_29_1 % 50.62/8.12 | % 50.62/8.12 | GROUND_INST: instantiating (18) with all_19_1, all_72_1, all_8_1, all_8_5, % 50.62/8.12 | simplifying with (59), (206) gives: % 50.62/8.12 | (251) all_72_1 = all_19_1 % 50.62/8.12 | % 50.62/8.12 | GROUND_INST: instantiating (18) with all_49_1, all_76_1, all_8_5, all_8_1, % 50.62/8.12 | simplifying with (109), (211) gives: % 50.62/8.12 | (252) all_76_1 = all_49_1 % 50.62/8.12 | % 50.62/8.12 | COMBINE_EQS: (237), (238) imply: % 50.62/8.12 | (253) all_92_0 = all_8_2 % 50.62/8.12 | % 50.62/8.12 | COMBINE_EQS: (238), (239) imply: % 50.62/8.12 | (254) all_92_0 = all_90_0 % 50.62/8.12 | % 50.62/8.12 | COMBINE_EQS: (253), (254) imply: % 50.62/8.12 | (255) all_90_0 = all_8_2 % 50.62/8.12 | % 50.62/8.12 | SIMP: (255) implies: % 50.62/8.12 | (256) all_90_0 = all_8_2 % 50.62/8.12 | % 50.62/8.12 | COMBINE_EQS: (236), (256) imply: % 50.62/8.12 | (257) all_68_0 = all_8_2 % 50.62/8.12 | % 50.62/8.12 | SIMP: (257) implies: % 50.62/8.12 | (258) all_68_0 = all_8_2 % 50.62/8.12 | % 50.62/8.12 | COMBINE_EQS: (244), (245) imply: % 50.62/8.12 | (259) all_70_0 = all_64_0 % 50.62/8.12 | % 50.62/8.12 | SIMP: (259) implies: % 50.62/8.12 | (260) all_70_0 = all_64_0 % 50.62/8.12 | % 50.62/8.12 | COMBINE_EQS: (240), (241) imply: % 50.62/8.12 | (261) all_84_0 = all_82_0 % 50.62/8.12 | % 50.62/8.12 | COMBINE_EQS: (240), (242) imply: % 50.62/8.12 | (262) all_84_0 = all_80_0 % 50.62/8.12 | % 50.62/8.12 | COMBINE_EQS: (261), (262) imply: % 50.62/8.12 | (263) all_82_0 = all_80_0 % 50.62/8.12 | % 50.62/8.12 | SIMP: (263) implies: % 50.62/8.12 | (264) all_82_0 = all_80_0 % 50.62/8.12 | % 50.62/8.12 | COMBINE_EQS: (248), (249) imply: % 50.62/8.12 | (265) all_74_0 = all_72_0 % 50.62/8.12 | % 50.62/8.12 | COMBINE_EQS: (247), (248) imply: % 50.62/8.12 | (266) all_76_0 = all_74_0 % 50.62/8.12 | % 50.62/8.12 | SIMP: (266) implies: % 50.62/8.12 | (267) all_76_0 = all_74_0 % 50.62/8.12 | % 50.62/8.12 | COMBINE_EQS: (246), (267) imply: % 50.62/8.12 | (268) all_74_0 = all_8_0 % 50.62/8.12 | % 50.62/8.12 | SIMP: (268) implies: % 50.62/8.12 | (269) all_74_0 = all_8_0 % 50.62/8.12 | % 50.62/8.12 | COMBINE_EQS: (265), (269) imply: % 50.62/8.12 | (270) all_72_0 = all_8_0 % 50.62/8.12 | % 50.62/8.12 | SIMP: (270) implies: % 50.62/8.12 | (271) all_72_0 = all_8_0 % 50.62/8.12 | % 50.62/8.12 | COMBINE_EQS: (243), (260) imply: % 50.62/8.12 | (272) all_66_0 = all_64_0 % 50.62/8.12 | % 50.62/8.12 | GROUND_INST: instantiating (sos02) with all_8_6, all_62_0, simplifying with % 50.62/8.12 | (21), (192) gives: % 50.62/8.12 | (273) all_62_0 = all_8_6 % 50.62/8.12 | % 50.62/8.12 | GROUND_INST: instantiating (13) with all_8_6, all_8_6, all_62_0, simplifying % 50.62/8.12 | with (21), (192) gives: % 50.62/8.12 | (274) ? [v0: any] : ? [v1: $i] : (r(all_8_6, all_8_6) = v0 & % 50.62/8.12 | product(all_8_6, all_8_6) = v1 & $i(v1) & ( ~ (v0 = 0) | (v1 = % 50.62/8.12 | all_8_6 & all_62_0 = all_8_6))) % 50.62/8.12 | % 50.62/8.12 | GROUND_INST: instantiating (7) with all_8_6, all_8_6, all_62_0, simplifying % 50.62/8.12 | with (21), (192) gives: % 50.62/8.12 | (275) ? [v0: any] : ? [v1: $i] : (l(all_8_6, all_8_6) = v0 & % 50.62/8.12 | product(all_8_6, all_8_6) = v1 & $i(v1) & ( ~ (v0 = 0) | (v1 = % 50.62/8.12 | all_8_6 & all_62_0 = all_8_6))) % 50.62/8.12 | % 50.62/8.13 | GROUND_INST: instantiating (1) with all_8_5, all_8_6, all_8_6, all_8_1, % 50.62/8.13 | all_80_0, simplifying with (21), (22), (25), (215) gives: % 50.62/8.13 | (276) ? [v0: $i] : (product(v0, all_8_5) = all_80_0 & product(all_8_6, % 50.62/8.13 | all_8_6) = v0 & $i(v0) & $i(all_80_0)) % 50.62/8.13 | % 50.62/8.13 | GROUND_INST: instantiating (13) with all_8_1, all_8_6, all_80_0, simplifying % 50.62/8.13 | with (21), (24), (215) gives: % 50.62/8.13 | (277) ? [v0: any] : ? [v1: $i] : (r(all_8_1, all_8_6) = v0 & % 50.62/8.13 | product(all_8_1, all_8_6) = v1 & $i(v1) & ( ~ (v0 = 0) | (v1 = % 50.62/8.13 | all_8_6 & all_80_0 = all_8_1))) % 50.62/8.13 | % 50.62/8.13 | GROUND_INST: instantiating (7) with all_8_1, all_8_6, all_80_0, simplifying % 50.62/8.13 | with (21), (24), (215) gives: % 50.62/8.13 | (278) ? [v0: any] : ? [v1: $i] : (l(all_8_1, all_8_6) = v0 & % 50.62/8.13 | product(all_8_1, all_8_6) = v1 & $i(v1) & ( ~ (v0 = 0) | (v1 = % 50.62/8.13 | all_8_1 & all_80_0 = all_8_6))) % 50.62/8.13 | % 50.62/8.13 | GROUND_INST: instantiating (12) with all_8_6, all_8_1, all_80_0, simplifying % 50.62/8.13 | with (21), (24), (215) gives: % 50.62/8.13 | (279) ? [v0: any] : ? [v1: $i] : (r(all_8_6, all_8_1) = v0 & % 50.62/8.13 | product(all_8_1, all_8_6) = v1 & $i(v1) & ( ~ (v0 = 0) | (v1 = % 50.62/8.13 | all_8_6 & all_80_0 = all_8_1))) % 50.62/8.13 | % 50.62/8.13 | GROUND_INST: instantiating (6) with all_8_6, all_8_1, all_80_0, simplifying % 50.62/8.13 | with (21), (24), (215) gives: % 50.62/8.13 | (280) ? [v0: any] : ? [v1: $i] : (l(all_8_6, all_8_1) = v0 & % 50.62/8.13 | product(all_8_1, all_8_6) = v1 & $i(v1) & ( ~ (v0 = 0) | (v1 = % 50.62/8.13 | all_8_1 & all_80_0 = all_8_6))) % 50.62/8.13 | % 50.62/8.13 | GROUND_INST: instantiating (13) with all_60_0, all_8_6, all_19_0, simplifying % 50.62/8.13 | with (21), (187), (188) gives: % 50.62/8.13 | (281) ? [v0: any] : ? [v1: $i] : (r(all_60_0, all_8_6) = v0 & % 50.62/8.13 | product(all_60_0, all_8_6) = v1 & $i(v1) & ( ~ (v0 = 0) | (v1 = % 50.62/8.13 | all_8_6 & all_60_0 = all_19_0))) % 50.62/8.13 | % 50.62/8.13 | GROUND_INST: instantiating (7) with all_60_0, all_8_6, all_19_0, simplifying % 50.62/8.13 | with (21), (187), (188) gives: % 50.62/8.13 | (282) ? [v0: any] : ? [v1: $i] : (l(all_60_0, all_8_6) = v0 & % 50.62/8.13 | product(all_60_0, all_8_6) = v1 & $i(v1) & ( ~ (v0 = 0) | (v1 = % 50.62/8.13 | all_60_0 & all_19_0 = all_8_6))) % 50.62/8.13 | % 50.62/8.13 | GROUND_INST: instantiating (12) with all_8_6, all_60_0, all_19_0, simplifying % 50.62/8.13 | with (21), (187), (188) gives: % 50.62/8.13 | (283) ? [v0: any] : ? [v1: $i] : (r(all_8_6, all_60_0) = v0 & % 50.62/8.13 | product(all_60_0, all_8_6) = v1 & $i(v1) & ( ~ (v0 = 0) | (v1 = % 50.62/8.13 | all_8_6 & all_60_0 = all_19_0))) % 50.62/8.13 | % 50.62/8.13 | GROUND_INST: instantiating (6) with all_8_6, all_60_0, all_19_0, simplifying % 50.62/8.13 | with (21), (187), (188) gives: % 50.62/8.13 | (284) ? [v0: any] : ? [v1: $i] : (l(all_8_6, all_60_0) = v0 & % 50.62/8.13 | product(all_60_0, all_8_6) = v1 & $i(v1) & ( ~ (v0 = 0) | (v1 = % 50.62/8.13 | all_60_0 & all_19_0 = all_8_6))) % 50.62/8.13 | % 50.62/8.13 | GROUND_INST: instantiating (sos02) with all_8_5, all_60_0, simplifying with % 50.62/8.13 | (22), (189) gives: % 50.62/8.13 | (285) all_60_0 = all_8_5 % 50.62/8.13 | % 50.62/8.13 | GROUND_INST: instantiating (13) with all_8_5, all_8_5, all_60_0, simplifying % 50.62/8.13 | with (22), (189) gives: % 50.62/8.13 | (286) ? [v0: any] : ? [v1: $i] : (r(all_8_5, all_8_5) = v0 & % 50.62/8.13 | product(all_8_5, all_8_5) = v1 & $i(v1) & ( ~ (v0 = 0) | (v1 = % 50.62/8.13 | all_8_5 & all_60_0 = all_8_5))) % 50.62/8.13 | % 50.62/8.13 | GROUND_INST: instantiating (7) with all_8_5, all_8_5, all_60_0, simplifying % 50.62/8.13 | with (22), (189) gives: % 50.62/8.13 | (287) ? [v0: any] : ? [v1: $i] : (l(all_8_5, all_8_5) = v0 & % 50.62/8.13 | product(all_8_5, all_8_5) = v1 & $i(v1) & ( ~ (v0 = 0) | (v1 = % 50.62/8.13 | all_8_5 & all_60_0 = all_8_5))) % 50.62/8.13 | % 50.62/8.13 | GROUND_INST: instantiating (1) with all_8_6, all_8_5, all_8_5, all_8_3, % 50.62/8.13 | all_64_0, simplifying with (21), (22), (27), (195) gives: % 50.62/8.13 | (288) ? [v0: $i] : (product(v0, all_8_6) = all_64_0 & product(all_8_5, % 50.62/8.13 | all_8_5) = v0 & $i(v0) & $i(all_64_0)) % 50.62/8.13 | % 50.62/8.13 | GROUND_INST: instantiating (13) with all_8_3, all_8_5, all_64_0, simplifying % 50.62/8.13 | with (22), (23), (195) gives: % 50.62/8.13 | (289) ? [v0: any] : ? [v1: $i] : (r(all_8_3, all_8_5) = v0 & % 50.62/8.13 | product(all_8_3, all_8_5) = v1 & $i(v1) & ( ~ (v0 = 0) | (v1 = % 50.62/8.13 | all_8_5 & all_64_0 = all_8_3))) % 50.62/8.13 | % 50.62/8.13 | GROUND_INST: instantiating (7) with all_8_3, all_8_5, all_64_0, simplifying % 50.62/8.13 | with (22), (23), (195) gives: % 50.62/8.13 | (290) ? [v0: any] : ? [v1: $i] : (l(all_8_3, all_8_5) = v0 & % 50.62/8.13 | product(all_8_3, all_8_5) = v1 & $i(v1) & ( ~ (v0 = 0) | (v1 = % 50.62/8.13 | all_8_3 & all_64_0 = all_8_5))) % 50.62/8.13 | % 50.62/8.13 | GROUND_INST: instantiating (12) with all_8_5, all_8_3, all_64_0, simplifying % 50.62/8.13 | with (22), (23), (195) gives: % 50.62/8.13 | (291) ? [v0: any] : ? [v1: $i] : (r(all_8_5, all_8_3) = v0 & % 50.62/8.13 | product(all_8_3, all_8_5) = v1 & $i(v1) & ( ~ (v0 = 0) | (v1 = % 50.62/8.13 | all_8_5 & all_64_0 = all_8_3))) % 50.62/8.13 | % 50.62/8.13 | GROUND_INST: instantiating (6) with all_8_5, all_8_3, all_64_0, simplifying % 50.62/8.13 | with (22), (23), (195) gives: % 50.62/8.14 | (292) ? [v0: any] : ? [v1: $i] : (l(all_8_5, all_8_3) = v0 & % 50.62/8.14 | product(all_8_3, all_8_5) = v1 & $i(v1) & ( ~ (v0 = 0) | (v1 = % 50.62/8.14 | all_8_3 & all_64_0 = all_8_5))) % 50.62/8.14 | % 50.62/8.14 | GROUND_INST: instantiating (13) with all_62_0, all_8_5, all_29_0, simplifying % 50.62/8.14 | with (22), (191), (193) gives: % 50.62/8.14 | (293) ? [v0: any] : ? [v1: $i] : (r(all_62_0, all_8_5) = v0 & % 50.62/8.14 | product(all_62_0, all_8_5) = v1 & $i(v1) & ( ~ (v0 = 0) | (v1 = % 50.62/8.14 | all_8_5 & all_62_0 = all_29_0))) % 50.62/8.14 | % 50.62/8.14 | GROUND_INST: instantiating (7) with all_62_0, all_8_5, all_29_0, simplifying % 50.62/8.14 | with (22), (191), (193) gives: % 50.62/8.14 | (294) ? [v0: any] : ? [v1: $i] : (l(all_62_0, all_8_5) = v0 & % 50.62/8.14 | product(all_62_0, all_8_5) = v1 & $i(v1) & ( ~ (v0 = 0) | (v1 = % 50.62/8.14 | all_62_0 & all_29_0 = all_8_5))) % 50.62/8.14 | % 50.62/8.14 | GROUND_INST: instantiating (12) with all_8_5, all_62_0, all_29_0, simplifying % 50.62/8.14 | with (22), (191), (193) gives: % 50.62/8.14 | (295) ? [v0: any] : ? [v1: $i] : (r(all_8_5, all_62_0) = v0 & % 50.62/8.14 | product(all_62_0, all_8_5) = v1 & $i(v1) & ( ~ (v0 = 0) | (v1 = % 50.62/8.14 | all_8_5 & all_62_0 = all_29_0))) % 50.62/8.14 | % 50.62/8.14 | GROUND_INST: instantiating (6) with all_8_5, all_62_0, all_29_0, simplifying % 50.62/8.14 | with (22), (191), (193) gives: % 50.62/8.14 | (296) ? [v0: any] : ? [v1: $i] : (l(all_8_5, all_62_0) = v0 & % 50.62/8.14 | product(all_62_0, all_8_5) = v1 & $i(v1) & ( ~ (v0 = 0) | (v1 = % 50.62/8.14 | all_62_0 & all_29_0 = all_8_5))) % 50.62/8.14 | % 50.62/8.14 | GROUND_INST: instantiating (8) with all_8_5, all_8_3, all_70_1, simplifying % 50.62/8.14 | with (22), (23), (202) gives: % 50.62/8.14 | (297) all_70_1 = 0 | ? [v0: $i] : ? [v1: $i] : (product(all_8_3, all_8_5) % 50.62/8.14 | = v1 & product(all_8_5, all_8_3) = v0 & $i(v1) & $i(v0) & ( ~ (v1 = % 50.62/8.14 | all_8_3) | ~ (v0 = all_8_5))) % 50.62/8.14 | % 50.62/8.14 | GROUND_INST: instantiating (8) with all_8_3, all_8_5, all_88_1, simplifying % 50.62/8.14 | with (22), (23), (227) gives: % 50.62/8.14 | (298) all_88_1 = 0 | ? [v0: $i] : ? [v1: $i] : (product(all_8_3, all_8_5) % 50.62/8.14 | = v0 & product(all_8_5, all_8_3) = v1 & $i(v1) & $i(v0) & ( ~ (v1 = % 50.62/8.14 | all_8_5) | ~ (v0 = all_8_3))) % 50.62/8.14 | % 50.62/8.14 | GROUND_INST: instantiating (8) with all_8_1, all_8_6, all_80_1, simplifying % 50.62/8.14 | with (21), (24), (216) gives: % 50.62/8.14 | (299) all_80_1 = 0 | ? [v0: $i] : ? [v1: $i] : (product(all_8_1, all_8_6) % 50.62/8.14 | = v0 & product(all_8_6, all_8_1) = v1 & $i(v1) & $i(v0) & ( ~ (v1 = % 50.62/8.14 | all_8_6) | ~ (v0 = all_8_1))) % 50.62/8.14 | % 50.62/8.14 | GROUND_INST: instantiating (14) with all_8_6, all_8_1, all_86_1, simplifying % 50.62/8.14 | with (21), (24), (224) gives: % 50.62/8.14 | (300) all_86_1 = 0 | ? [v0: $i] : ? [v1: $i] : (product(all_8_1, all_8_6) % 50.62/8.14 | = v1 & product(all_8_6, all_8_1) = v0 & $i(v1) & $i(v0) & ( ~ (v1 = % 50.62/8.14 | all_8_6) | ~ (v0 = all_8_1))) % 50.62/8.14 | % 50.62/8.14 | DELTA: instantiating (288) with fresh symbol all_106_0 gives: % 50.62/8.14 | (301) product(all_106_0, all_8_6) = all_64_0 & product(all_8_5, all_8_5) = % 50.62/8.14 | all_106_0 & $i(all_106_0) & $i(all_64_0) % 50.62/8.14 | % 50.62/8.14 | ALPHA: (301) implies: % 50.62/8.14 | (302) $i(all_64_0) % 50.62/8.14 | (303) $i(all_106_0) % 50.62/8.14 | (304) product(all_8_5, all_8_5) = all_106_0 % 50.62/8.14 | (305) product(all_106_0, all_8_6) = all_64_0 % 50.62/8.14 | % 50.62/8.14 | DELTA: instantiating (276) with fresh symbol all_108_0 gives: % 50.62/8.14 | (306) product(all_108_0, all_8_5) = all_80_0 & product(all_8_6, all_8_6) = % 50.62/8.14 | all_108_0 & $i(all_108_0) & $i(all_80_0) % 50.62/8.14 | % 50.62/8.14 | ALPHA: (306) implies: % 50.62/8.14 | (307) $i(all_80_0) % 50.62/8.14 | (308) $i(all_108_0) % 50.62/8.14 | (309) product(all_8_6, all_8_6) = all_108_0 % 50.62/8.14 | (310) product(all_108_0, all_8_5) = all_80_0 % 50.62/8.14 | % 50.62/8.14 | DELTA: instantiating (287) with fresh symbols all_110_0, all_110_1 gives: % 50.62/8.14 | (311) l(all_8_5, all_8_5) = all_110_1 & product(all_8_5, all_8_5) = % 50.62/8.14 | all_110_0 & $i(all_110_0) & ( ~ (all_110_1 = 0) | (all_110_0 = % 50.62/8.14 | all_8_5 & all_60_0 = all_8_5)) % 50.62/8.14 | % 50.62/8.14 | ALPHA: (311) implies: % 50.62/8.14 | (312) product(all_8_5, all_8_5) = all_110_0 % 50.62/8.14 | % 50.62/8.14 | DELTA: instantiating (296) with fresh symbols all_112_0, all_112_1 gives: % 50.74/8.14 | (313) l(all_8_5, all_62_0) = all_112_1 & product(all_62_0, all_8_5) = % 50.74/8.14 | all_112_0 & $i(all_112_0) & ( ~ (all_112_1 = 0) | (all_112_0 = % 50.74/8.14 | all_62_0 & all_29_0 = all_8_5)) % 50.74/8.14 | % 50.74/8.14 | ALPHA: (313) implies: % 50.74/8.14 | (314) product(all_62_0, all_8_5) = all_112_0 % 50.74/8.14 | (315) l(all_8_5, all_62_0) = all_112_1 % 50.74/8.14 | % 50.74/8.14 | DELTA: instantiating (295) with fresh symbols all_114_0, all_114_1 gives: % 50.74/8.14 | (316) r(all_8_5, all_62_0) = all_114_1 & product(all_62_0, all_8_5) = % 50.74/8.14 | all_114_0 & $i(all_114_0) & ( ~ (all_114_1 = 0) | (all_114_0 = % 50.74/8.14 | all_8_5 & all_62_0 = all_29_0)) % 50.74/8.14 | % 50.74/8.14 | ALPHA: (316) implies: % 50.74/8.14 | (317) product(all_62_0, all_8_5) = all_114_0 % 50.74/8.14 | % 50.74/8.14 | DELTA: instantiating (286) with fresh symbols all_116_0, all_116_1 gives: % 50.74/8.14 | (318) r(all_8_5, all_8_5) = all_116_1 & product(all_8_5, all_8_5) = % 50.74/8.14 | all_116_0 & $i(all_116_0) & ( ~ (all_116_1 = 0) | (all_116_0 = % 50.74/8.14 | all_8_5 & all_60_0 = all_8_5)) % 50.74/8.14 | % 50.74/8.14 | ALPHA: (318) implies: % 50.74/8.14 | (319) product(all_8_5, all_8_5) = all_116_0 % 50.74/8.14 | % 50.74/8.14 | DELTA: instantiating (284) with fresh symbols all_118_0, all_118_1 gives: % 50.74/8.15 | (320) l(all_8_6, all_60_0) = all_118_1 & product(all_60_0, all_8_6) = % 50.74/8.15 | all_118_0 & $i(all_118_0) & ( ~ (all_118_1 = 0) | (all_118_0 = % 50.74/8.15 | all_60_0 & all_19_0 = all_8_6)) % 50.74/8.15 | % 50.74/8.15 | ALPHA: (320) implies: % 50.74/8.15 | (321) product(all_60_0, all_8_6) = all_118_0 % 50.74/8.15 | (322) l(all_8_6, all_60_0) = all_118_1 % 50.74/8.15 | % 50.74/8.15 | DELTA: instantiating (283) with fresh symbols all_120_0, all_120_1 gives: % 50.74/8.15 | (323) r(all_8_6, all_60_0) = all_120_1 & product(all_60_0, all_8_6) = % 50.74/8.15 | all_120_0 & $i(all_120_0) & ( ~ (all_120_1 = 0) | (all_120_0 = % 50.74/8.15 | all_8_6 & all_60_0 = all_19_0)) % 50.74/8.15 | % 50.74/8.15 | ALPHA: (323) implies: % 50.74/8.15 | (324) product(all_60_0, all_8_6) = all_120_0 % 50.74/8.15 | % 50.74/8.15 | DELTA: instantiating (282) with fresh symbols all_122_0, all_122_1 gives: % 50.74/8.15 | (325) l(all_60_0, all_8_6) = all_122_1 & product(all_60_0, all_8_6) = % 50.74/8.15 | all_122_0 & $i(all_122_0) & ( ~ (all_122_1 = 0) | (all_122_0 = % 50.74/8.15 | all_60_0 & all_19_0 = all_8_6)) % 50.74/8.15 | % 50.74/8.15 | ALPHA: (325) implies: % 50.74/8.15 | (326) product(all_60_0, all_8_6) = all_122_0 % 50.74/8.15 | (327) l(all_60_0, all_8_6) = all_122_1 % 50.74/8.15 | % 50.74/8.15 | DELTA: instantiating (292) with fresh symbols all_124_0, all_124_1 gives: % 50.74/8.15 | (328) l(all_8_5, all_8_3) = all_124_1 & product(all_8_3, all_8_5) = % 50.74/8.15 | all_124_0 & $i(all_124_0) & ( ~ (all_124_1 = 0) | (all_124_0 = % 50.74/8.15 | all_8_3 & all_64_0 = all_8_5)) % 50.74/8.15 | % 50.74/8.15 | ALPHA: (328) implies: % 50.74/8.15 | (329) product(all_8_3, all_8_5) = all_124_0 % 50.74/8.15 | (330) l(all_8_5, all_8_3) = all_124_1 % 50.74/8.15 | (331) ~ (all_124_1 = 0) | (all_124_0 = all_8_3 & all_64_0 = all_8_5) % 50.74/8.15 | % 50.74/8.15 | DELTA: instantiating (291) with fresh symbols all_126_0, all_126_1 gives: % 50.74/8.15 | (332) r(all_8_5, all_8_3) = all_126_1 & product(all_8_3, all_8_5) = % 50.74/8.15 | all_126_0 & $i(all_126_0) & ( ~ (all_126_1 = 0) | (all_126_0 = % 50.74/8.15 | all_8_5 & all_64_0 = all_8_3)) % 50.74/8.15 | % 50.74/8.15 | ALPHA: (332) implies: % 50.74/8.15 | (333) product(all_8_3, all_8_5) = all_126_0 % 50.74/8.15 | % 50.74/8.15 | DELTA: instantiating (294) with fresh symbols all_128_0, all_128_1 gives: % 50.74/8.15 | (334) l(all_62_0, all_8_5) = all_128_1 & product(all_62_0, all_8_5) = % 50.74/8.15 | all_128_0 & $i(all_128_0) & ( ~ (all_128_1 = 0) | (all_128_0 = % 50.74/8.15 | all_62_0 & all_29_0 = all_8_5)) % 50.74/8.15 | % 50.74/8.15 | ALPHA: (334) implies: % 50.74/8.15 | (335) product(all_62_0, all_8_5) = all_128_0 % 50.74/8.15 | (336) l(all_62_0, all_8_5) = all_128_1 % 50.74/8.15 | % 50.74/8.15 | DELTA: instantiating (290) with fresh symbols all_130_0, all_130_1 gives: % 50.74/8.15 | (337) l(all_8_3, all_8_5) = all_130_1 & product(all_8_3, all_8_5) = % 50.74/8.15 | all_130_0 & $i(all_130_0) & ( ~ (all_130_1 = 0) | (all_130_0 = % 50.74/8.15 | all_8_3 & all_64_0 = all_8_5)) % 50.74/8.15 | % 50.74/8.15 | ALPHA: (337) implies: % 50.74/8.15 | (338) product(all_8_3, all_8_5) = all_130_0 % 50.74/8.15 | (339) l(all_8_3, all_8_5) = all_130_1 % 50.74/8.15 | % 50.74/8.15 | DELTA: instantiating (289) with fresh symbols all_132_0, all_132_1 gives: % 50.74/8.15 | (340) r(all_8_3, all_8_5) = all_132_1 & product(all_8_3, all_8_5) = % 50.74/8.15 | all_132_0 & $i(all_132_0) & ( ~ (all_132_1 = 0) | (all_132_0 = % 50.74/8.15 | all_8_5 & all_64_0 = all_8_3)) % 50.74/8.15 | % 50.74/8.15 | ALPHA: (340) implies: % 50.74/8.15 | (341) product(all_8_3, all_8_5) = all_132_0 % 50.74/8.15 | % 50.74/8.15 | DELTA: instantiating (293) with fresh symbols all_134_0, all_134_1 gives: % 50.74/8.15 | (342) r(all_62_0, all_8_5) = all_134_1 & product(all_62_0, all_8_5) = % 50.74/8.15 | all_134_0 & $i(all_134_0) & ( ~ (all_134_1 = 0) | (all_134_0 = % 50.74/8.15 | all_8_5 & all_62_0 = all_29_0)) % 50.74/8.15 | % 50.74/8.15 | ALPHA: (342) implies: % 50.74/8.15 | (343) product(all_62_0, all_8_5) = all_134_0 % 50.74/8.15 | % 50.74/8.15 | DELTA: instantiating (275) with fresh symbols all_136_0, all_136_1 gives: % 50.74/8.15 | (344) l(all_8_6, all_8_6) = all_136_1 & product(all_8_6, all_8_6) = % 50.74/8.15 | all_136_0 & $i(all_136_0) & ( ~ (all_136_1 = 0) | (all_136_0 = % 50.74/8.15 | all_8_6 & all_62_0 = all_8_6)) % 50.74/8.15 | % 50.74/8.15 | ALPHA: (344) implies: % 50.74/8.15 | (345) product(all_8_6, all_8_6) = all_136_0 % 50.74/8.15 | % 50.74/8.15 | DELTA: instantiating (280) with fresh symbols all_138_0, all_138_1 gives: % 50.74/8.15 | (346) l(all_8_6, all_8_1) = all_138_1 & product(all_8_1, all_8_6) = % 50.74/8.15 | all_138_0 & $i(all_138_0) & ( ~ (all_138_1 = 0) | (all_138_0 = % 50.74/8.15 | all_8_1 & all_80_0 = all_8_6)) % 50.74/8.15 | % 50.74/8.15 | ALPHA: (346) implies: % 50.74/8.15 | (347) product(all_8_1, all_8_6) = all_138_0 % 50.74/8.15 | % 50.74/8.15 | DELTA: instantiating (279) with fresh symbols all_140_0, all_140_1 gives: % 50.74/8.15 | (348) r(all_8_6, all_8_1) = all_140_1 & product(all_8_1, all_8_6) = % 50.74/8.15 | all_140_0 & $i(all_140_0) & ( ~ (all_140_1 = 0) | (all_140_0 = % 50.74/8.15 | all_8_6 & all_80_0 = all_8_1)) % 50.74/8.15 | % 50.74/8.15 | ALPHA: (348) implies: % 50.74/8.15 | (349) product(all_8_1, all_8_6) = all_140_0 % 50.74/8.15 | (350) r(all_8_6, all_8_1) = all_140_1 % 50.74/8.15 | % 50.74/8.15 | DELTA: instantiating (281) with fresh symbols all_142_0, all_142_1 gives: % 50.74/8.15 | (351) r(all_60_0, all_8_6) = all_142_1 & product(all_60_0, all_8_6) = % 50.74/8.15 | all_142_0 & $i(all_142_0) & ( ~ (all_142_1 = 0) | (all_142_0 = % 50.74/8.15 | all_8_6 & all_60_0 = all_19_0)) % 50.74/8.15 | % 50.74/8.15 | ALPHA: (351) implies: % 50.74/8.15 | (352) product(all_60_0, all_8_6) = all_142_0 % 50.74/8.15 | % 50.74/8.15 | DELTA: instantiating (274) with fresh symbols all_144_0, all_144_1 gives: % 50.74/8.15 | (353) r(all_8_6, all_8_6) = all_144_1 & product(all_8_6, all_8_6) = % 50.74/8.15 | all_144_0 & $i(all_144_0) & ( ~ (all_144_1 = 0) | (all_144_0 = % 50.74/8.15 | all_8_6 & all_62_0 = all_8_6)) % 50.74/8.15 | % 50.74/8.15 | ALPHA: (353) implies: % 50.74/8.15 | (354) product(all_8_6, all_8_6) = all_144_0 % 50.74/8.15 | % 50.74/8.15 | DELTA: instantiating (278) with fresh symbols all_146_0, all_146_1 gives: % 50.74/8.15 | (355) l(all_8_1, all_8_6) = all_146_1 & product(all_8_1, all_8_6) = % 50.74/8.15 | all_146_0 & $i(all_146_0) & ( ~ (all_146_1 = 0) | (all_146_0 = % 50.74/8.15 | all_8_1 & all_80_0 = all_8_6)) % 50.74/8.15 | % 50.74/8.15 | ALPHA: (355) implies: % 50.74/8.15 | (356) product(all_8_1, all_8_6) = all_146_0 % 50.74/8.15 | % 50.74/8.15 | DELTA: instantiating (277) with fresh symbols all_148_0, all_148_1 gives: % 50.74/8.15 | (357) r(all_8_1, all_8_6) = all_148_1 & product(all_8_1, all_8_6) = % 50.74/8.15 | all_148_0 & $i(all_148_0) & ( ~ (all_148_1 = 0) | (all_148_0 = % 50.74/8.15 | all_8_6 & all_80_0 = all_8_1)) % 50.74/8.15 | % 50.74/8.15 | ALPHA: (357) implies: % 50.74/8.15 | (358) product(all_8_1, all_8_6) = all_148_0 % 50.74/8.15 | % 50.74/8.15 | REDUCE: (273), (336) imply: % 50.74/8.15 | (359) l(all_8_6, all_8_5) = all_128_1 % 50.74/8.15 | % 50.74/8.15 | REDUCE: (285), (327) imply: % 50.74/8.15 | (360) l(all_8_5, all_8_6) = all_122_1 % 50.74/8.15 | % 50.74/8.15 | REDUCE: (273), (315) imply: % 50.74/8.15 | (361) l(all_8_5, all_8_6) = all_112_1 % 50.74/8.15 | % 50.74/8.15 | REDUCE: (285), (322) imply: % 50.74/8.15 | (362) l(all_8_6, all_8_5) = all_118_1 % 50.74/8.15 | % 50.74/8.15 | REDUCE: (273), (343) imply: % 50.74/8.15 | (363) product(all_8_6, all_8_5) = all_134_0 % 50.74/8.15 | % 50.74/8.15 | REDUCE: (273), (335) imply: % 50.74/8.15 | (364) product(all_8_6, all_8_5) = all_128_0 % 50.74/8.15 | % 50.74/8.15 | REDUCE: (273), (317) imply: % 50.74/8.15 | (365) product(all_8_6, all_8_5) = all_114_0 % 50.74/8.15 | % 50.74/8.15 | REDUCE: (273), (314) imply: % 50.74/8.16 | (366) product(all_8_6, all_8_5) = all_112_0 % 50.74/8.16 | % 50.74/8.16 | REDUCE: (285), (352) imply: % 50.74/8.16 | (367) product(all_8_5, all_8_6) = all_142_0 % 50.74/8.16 | % 50.74/8.16 | REDUCE: (285), (326) imply: % 50.74/8.16 | (368) product(all_8_5, all_8_6) = all_122_0 % 50.74/8.16 | % 50.74/8.16 | REDUCE: (285), (324) imply: % 50.74/8.16 | (369) product(all_8_5, all_8_6) = all_120_0 % 50.74/8.16 | % 50.74/8.16 | REDUCE: (285), (321) imply: % 50.74/8.16 | (370) product(all_8_5, all_8_6) = all_118_0 % 50.74/8.16 | % 50.74/8.16 | REDUCE: (193), (273) imply: % 50.74/8.16 | (371) product(all_8_5, all_8_6) = all_29_0 % 50.74/8.16 | % 50.74/8.16 | REDUCE: (189), (285) imply: % 50.74/8.16 | (372) product(all_8_5, all_8_5) = all_8_5 % 50.74/8.16 | % 50.74/8.16 | REDUCE: (188), (285) imply: % 50.74/8.16 | (373) product(all_8_6, all_8_5) = all_19_0 % 50.74/8.16 | % 50.74/8.16 | REDUCE: (192), (273) imply: % 50.74/8.16 | (374) product(all_8_6, all_8_6) = all_8_6 % 50.74/8.16 | % 50.74/8.16 | GROUND_INST: instantiating (17) with all_108_0, all_136_0, all_8_6, all_8_6, % 50.74/8.16 | simplifying with (309), (345) gives: % 50.74/8.16 | (375) all_136_0 = all_108_0 % 50.74/8.16 | % 50.74/8.16 | GROUND_INST: instantiating (17) with all_136_0, all_144_0, all_8_6, all_8_6, % 50.74/8.16 | simplifying with (345), (354) gives: % 50.74/8.16 | (376) all_144_0 = all_136_0 % 50.74/8.16 | % 50.74/8.16 | GROUND_INST: instantiating (17) with all_8_6, all_144_0, all_8_6, all_8_6, % 50.74/8.16 | simplifying with (354), (374) gives: % 50.74/8.16 | (377) all_144_0 = all_8_6 % 50.74/8.16 | % 50.74/8.16 | GROUND_INST: instantiating (17) with all_8_1, all_112_0, all_8_5, all_8_6, % 50.74/8.16 | simplifying with (25), (366) gives: % 50.74/8.16 | (378) all_112_0 = all_8_1 % 50.74/8.16 | % 50.74/8.16 | GROUND_INST: instantiating (17) with all_112_0, all_114_0, all_8_5, all_8_6, % 50.74/8.16 | simplifying with (365), (366) gives: % 50.74/8.16 | (379) all_114_0 = all_112_0 % 50.74/8.16 | % 50.74/8.16 | GROUND_INST: instantiating (17) with all_114_0, all_128_0, all_8_5, all_8_6, % 50.74/8.16 | simplifying with (364), (365) gives: % 50.74/8.16 | (380) all_128_0 = all_114_0 % 50.74/8.16 | % 50.74/8.16 | GROUND_INST: instantiating (17) with all_128_0, all_134_0, all_8_5, all_8_6, % 50.74/8.16 | simplifying with (363), (364) gives: % 50.74/8.16 | (381) all_134_0 = all_128_0 % 50.74/8.16 | % 50.74/8.16 | GROUND_INST: instantiating (17) with all_19_0, all_134_0, all_8_5, all_8_6, % 50.74/8.16 | simplifying with (363), (373) gives: % 50.74/8.16 | (382) all_134_0 = all_19_0 % 50.74/8.16 | % 50.74/8.16 | GROUND_INST: instantiating (17) with all_8_3, all_120_0, all_8_6, all_8_5, % 50.74/8.16 | simplifying with (27), (369) gives: % 50.74/8.16 | (383) all_120_0 = all_8_3 % 50.74/8.16 | % 50.74/8.16 | GROUND_INST: instantiating (17) with all_120_0, all_122_0, all_8_6, all_8_5, % 50.74/8.16 | simplifying with (368), (369) gives: % 50.74/8.16 | (384) all_122_0 = all_120_0 % 50.74/8.16 | % 50.74/8.16 | GROUND_INST: instantiating (17) with all_29_0, all_122_0, all_8_6, all_8_5, % 50.74/8.16 | simplifying with (368), (371) gives: % 50.74/8.16 | (385) all_122_0 = all_29_0 % 50.74/8.16 | % 50.74/8.16 | GROUND_INST: instantiating (17) with all_122_0, all_142_0, all_8_6, all_8_5, % 50.74/8.16 | simplifying with (367), (368) gives: % 50.74/8.16 | (386) all_142_0 = all_122_0 % 50.74/8.16 | % 50.74/8.16 | GROUND_INST: instantiating (17) with all_118_0, all_142_0, all_8_6, all_8_5, % 50.74/8.16 | simplifying with (367), (370) gives: % 50.74/8.16 | (387) all_142_0 = all_118_0 % 50.74/8.16 | % 50.74/8.16 | GROUND_INST: instantiating (17) with all_8_5, all_110_0, all_8_5, all_8_5, % 50.74/8.16 | simplifying with (312), (372) gives: % 50.74/8.16 | (388) all_110_0 = all_8_5 % 50.74/8.16 | % 50.74/8.16 | GROUND_INST: instantiating (17) with all_110_0, all_116_0, all_8_5, all_8_5, % 50.74/8.16 | simplifying with (312), (319) gives: % 50.74/8.16 | (389) all_116_0 = all_110_0 % 50.74/8.16 | % 50.74/8.16 | GROUND_INST: instantiating (17) with all_106_0, all_116_0, all_8_5, all_8_5, % 50.74/8.16 | simplifying with (304), (319) gives: % 50.74/8.16 | (390) all_116_0 = all_106_0 % 50.74/8.16 | % 50.74/8.16 | GROUND_INST: instantiating (17) with all_8_0, all_126_0, all_8_5, all_8_3, % 50.74/8.16 | simplifying with (158), (333) gives: % 50.74/8.16 | (391) all_126_0 = all_8_0 % 50.74/8.16 | % 50.74/8.16 | GROUND_INST: instantiating (17) with all_126_0, all_130_0, all_8_5, all_8_3, % 50.74/8.16 | simplifying with (333), (338) gives: % 50.74/8.16 | (392) all_130_0 = all_126_0 % 50.74/8.16 | % 50.74/8.16 | GROUND_INST: instantiating (17) with all_130_0, all_132_0, all_8_5, all_8_3, % 50.74/8.16 | simplifying with (338), (341) gives: % 50.74/8.16 | (393) all_132_0 = all_130_0 % 50.74/8.16 | % 50.74/8.16 | GROUND_INST: instantiating (17) with all_124_0, all_132_0, all_8_5, all_8_3, % 50.74/8.16 | simplifying with (329), (341) gives: % 50.74/8.16 | (394) all_132_0 = all_124_0 % 50.74/8.16 | % 50.74/8.16 | GROUND_INST: instantiating (17) with all_8_2, all_146_0, all_8_6, all_8_1, % 50.74/8.16 | simplifying with (157), (356) gives: % 50.74/8.16 | (395) all_146_0 = all_8_2 % 50.74/8.16 | % 50.74/8.16 | GROUND_INST: instantiating (17) with all_140_0, all_146_0, all_8_6, all_8_1, % 50.74/8.16 | simplifying with (349), (356) gives: % 50.74/8.16 | (396) all_146_0 = all_140_0 % 50.74/8.16 | % 50.74/8.16 | GROUND_INST: instantiating (17) with all_140_0, all_148_0, all_8_6, all_8_1, % 50.74/8.16 | simplifying with (349), (358) gives: % 50.74/8.16 | (397) all_148_0 = all_140_0 % 50.74/8.16 | % 50.74/8.16 | GROUND_INST: instantiating (17) with all_138_0, all_148_0, all_8_6, all_8_1, % 50.74/8.16 | simplifying with (347), (358) gives: % 50.74/8.16 | (398) all_148_0 = all_138_0 % 50.74/8.16 | % 50.74/8.16 | GROUND_INST: instantiating (18) with all_21_1, all_128_1, all_8_5, all_8_6, % 50.74/8.16 | simplifying with (63), (359) gives: % 50.74/8.16 | (399) all_128_1 = all_21_1 % 50.74/8.16 | % 50.74/8.16 | GROUND_INST: instantiating (18) with all_118_1, all_128_1, all_8_5, all_8_6, % 50.74/8.16 | simplifying with (359), (362) gives: % 50.74/8.16 | (400) all_128_1 = all_118_1 % 50.74/8.16 | % 50.74/8.16 | GROUND_INST: instantiating (18) with all_31_1, all_122_1, all_8_6, all_8_5, % 50.74/8.16 | simplifying with (81), (360) gives: % 50.74/8.16 | (401) all_122_1 = all_31_1 % 50.74/8.16 | % 50.74/8.16 | GROUND_INST: instantiating (18) with all_112_1, all_122_1, all_8_6, all_8_5, % 50.74/8.16 | simplifying with (360), (361) gives: % 50.74/8.16 | (402) all_122_1 = all_112_1 % 50.74/8.16 | % 50.74/8.16 | GROUND_INST: instantiating (18) with all_70_1, all_124_1, all_8_3, all_8_5, % 50.74/8.16 | simplifying with (202), (330) gives: % 50.74/8.16 | (403) all_124_1 = all_70_1 % 50.74/8.16 | % 50.74/8.16 | GROUND_INST: instantiating (18) with all_88_1, all_130_1, all_8_5, all_8_3, % 50.74/8.16 | simplifying with (227), (339) gives: % 50.74/8.16 | (404) all_130_1 = all_88_1 % 50.74/8.16 | % 50.74/8.16 | GROUND_INST: instantiating (19) with all_86_1, all_140_1, all_8_1, all_8_6, % 50.74/8.16 | simplifying with (224), (350) gives: % 50.74/8.16 | (405) all_140_1 = all_86_1 % 50.74/8.16 | % 50.74/8.16 | COMBINE_EQS: (397), (398) imply: % 50.74/8.16 | (406) all_140_0 = all_138_0 % 50.74/8.16 | % 50.74/8.16 | SIMP: (406) implies: % 50.74/8.16 | (407) all_140_0 = all_138_0 % 50.74/8.16 | % 50.74/8.16 | COMBINE_EQS: (395), (396) imply: % 50.74/8.16 | (408) all_140_0 = all_8_2 % 50.74/8.16 | % 50.74/8.16 | SIMP: (408) implies: % 50.74/8.16 | (409) all_140_0 = all_8_2 % 50.74/8.16 | % 50.74/8.16 | COMBINE_EQS: (376), (377) imply: % 50.74/8.16 | (410) all_136_0 = all_8_6 % 50.74/8.16 | % 50.74/8.16 | SIMP: (410) implies: % 50.74/8.16 | (411) all_136_0 = all_8_6 % 50.74/8.16 | % 50.74/8.16 | COMBINE_EQS: (386), (387) imply: % 50.74/8.16 | (412) all_122_0 = all_118_0 % 50.74/8.16 | % 50.74/8.16 | SIMP: (412) implies: % 50.74/8.16 | (413) all_122_0 = all_118_0 % 50.74/8.16 | % 50.74/8.16 | COMBINE_EQS: (407), (409) imply: % 50.74/8.16 | (414) all_138_0 = all_8_2 % 50.74/8.16 | % 50.74/8.16 | COMBINE_EQS: (375), (411) imply: % 50.74/8.16 | (415) all_108_0 = all_8_6 % 50.74/8.16 | % 50.74/8.16 | SIMP: (415) implies: % 50.74/8.16 | (416) all_108_0 = all_8_6 % 50.74/8.16 | % 50.74/8.16 | COMBINE_EQS: (381), (382) imply: % 50.74/8.16 | (417) all_128_0 = all_19_0 % 50.74/8.16 | % 50.74/8.16 | SIMP: (417) implies: % 50.74/8.16 | (418) all_128_0 = all_19_0 % 50.74/8.16 | % 50.74/8.16 | COMBINE_EQS: (393), (394) imply: % 50.74/8.16 | (419) all_130_0 = all_124_0 % 50.74/8.16 | % 50.74/8.16 | SIMP: (419) implies: % 50.74/8.16 | (420) all_130_0 = all_124_0 % 50.74/8.16 | % 50.74/8.16 | COMBINE_EQS: (392), (420) imply: % 50.74/8.16 | (421) all_126_0 = all_124_0 % 50.74/8.16 | % 50.74/8.16 | SIMP: (421) implies: % 50.74/8.16 | (422) all_126_0 = all_124_0 % 50.74/8.16 | % 50.74/8.16 | COMBINE_EQS: (380), (418) imply: % 50.74/8.16 | (423) all_114_0 = all_19_0 % 50.74/8.16 | % 50.74/8.16 | SIMP: (423) implies: % 50.74/8.16 | (424) all_114_0 = all_19_0 % 50.74/8.16 | % 50.74/8.16 | COMBINE_EQS: (399), (400) imply: % 50.74/8.16 | (425) all_118_1 = all_21_1 % 50.74/8.16 | % 50.74/8.16 | COMBINE_EQS: (391), (422) imply: % 50.74/8.16 | (426) all_124_0 = all_8_0 % 50.74/8.16 | % 50.74/8.16 | COMBINE_EQS: (384), (413) imply: % 50.74/8.16 | (427) all_120_0 = all_118_0 % 50.74/8.16 | % 50.74/8.16 | SIMP: (427) implies: % 50.74/8.16 | (428) all_120_0 = all_118_0 % 50.74/8.16 | % 50.74/8.16 | COMBINE_EQS: (385), (413) imply: % 50.74/8.16 | (429) all_118_0 = all_29_0 % 50.74/8.16 | % 50.74/8.16 | COMBINE_EQS: (401), (402) imply: % 50.74/8.16 | (430) all_112_1 = all_31_1 % 50.74/8.16 | % 50.74/8.16 | SIMP: (430) implies: % 50.74/8.16 | (431) all_112_1 = all_31_1 % 50.74/8.16 | % 50.74/8.16 | COMBINE_EQS: (383), (428) imply: % 50.74/8.16 | (432) all_118_0 = all_8_3 % 50.74/8.16 | % 50.74/8.16 | SIMP: (432) implies: % 50.74/8.16 | (433) all_118_0 = all_8_3 % 50.74/8.16 | % 50.74/8.16 | COMBINE_EQS: (429), (433) imply: % 50.74/8.16 | (434) all_29_0 = all_8_3 % 50.74/8.16 | % 50.74/8.17 | COMBINE_EQS: (389), (390) imply: % 50.74/8.17 | (435) all_110_0 = all_106_0 % 50.74/8.17 | % 50.74/8.17 | SIMP: (435) implies: % 50.74/8.17 | (436) all_110_0 = all_106_0 % 50.74/8.17 | % 50.74/8.17 | COMBINE_EQS: (379), (424) imply: % 50.74/8.17 | (437) all_112_0 = all_19_0 % 50.74/8.17 | % 50.74/8.17 | SIMP: (437) implies: % 50.74/8.17 | (438) all_112_0 = all_19_0 % 50.74/8.17 | % 50.74/8.17 | COMBINE_EQS: (378), (438) imply: % 50.74/8.17 | (439) all_19_0 = all_8_1 % 50.74/8.17 | % 50.74/8.17 | COMBINE_EQS: (388), (436) imply: % 50.74/8.17 | (440) all_106_0 = all_8_5 % 50.74/8.17 | % 50.74/8.17 | REDUCE: (310), (416) imply: % 50.74/8.17 | (441) product(all_8_6, all_8_5) = all_80_0 % 50.74/8.17 | % 50.74/8.17 | REDUCE: (305), (440) imply: % 50.74/8.17 | (442) product(all_8_5, all_8_6) = all_64_0 % 50.74/8.17 | % 50.74/8.17 | REDUCE: (58), (439) imply: % 50.74/8.17 | (443) product(all_8_1, all_8_5) = all_8_1 % 50.74/8.17 | % 50.74/8.17 | REDUCE: (76), (434) imply: % 50.74/8.17 | (444) product(all_8_3, all_8_6) = all_8_3 % 50.74/8.17 | % 50.74/8.17 | GROUND_INST: instantiating (17) with all_8_1, all_80_0, all_8_5, all_8_6, % 50.74/8.17 | simplifying with (25), (441) gives: % 50.74/8.17 | (445) all_80_0 = all_8_1 % 50.74/8.17 | % 50.74/8.17 | GROUND_INST: instantiating (17) with all_8_3, all_64_0, all_8_6, all_8_5, % 50.74/8.17 | simplifying with (27), (442) gives: % 50.74/8.17 | (446) all_64_0 = all_8_3 % 50.74/8.17 | % 50.74/8.17 | COMBINE_EQS: (245), (446) imply: % 50.74/8.17 | (447) all_88_0 = all_8_3 % 50.74/8.17 | % 50.74/8.17 | REDUCE: (195), (446) imply: % 50.74/8.17 | (448) product(all_8_5, all_8_3) = all_8_3 % 50.74/8.17 | % 50.74/8.17 | REDUCE: (215), (445) imply: % 50.74/8.17 | (449) product(all_8_6, all_8_1) = all_8_1 % 50.74/8.17 | % 50.74/8.17 | GROUND_INST: instantiating (1) with all_8_6, all_8_6, all_8_1, all_8_6, % 50.74/8.17 | all_8_2, simplifying with (21), (24), (157), (374) gives: % 50.74/8.17 | (450) ? [v0: $i] : (product(v0, all_8_6) = all_8_2 & product(all_8_1, % 50.74/8.17 | all_8_6) = v0 & $i(v0) & $i(all_8_2)) % 50.74/8.17 | % 50.74/8.17 | GROUND_INST: instantiating (2) with all_8_3, all_8_6, all_8_6, all_8_6, % 50.74/8.17 | all_8_2, simplifying with (21), (23), (26), (374) gives: % 50.74/8.17 | (451) ? [v0: $i] : (product(all_8_6, v0) = all_8_2 & product(all_8_6, % 50.74/8.17 | all_8_3) = v0 & $i(v0) & $i(all_8_2)) % 50.74/8.17 | % 50.74/8.17 | GROUND_INST: instantiating (4) with all_8_6, all_8_6, simplifying with (21), % 50.74/8.17 | (374) gives: % 50.74/8.17 | (452) ? [v0: $i] : ? [v1: any] : (l(all_8_6, all_8_6) = v1 & % 50.74/8.17 | product(all_8_6, all_8_6) = v0 & $i(v0) & ( ~ (v0 = all_8_6) | v1 = % 50.74/8.17 | 0)) % 50.74/8.17 | % 50.74/8.17 | GROUND_INST: instantiating (10) with all_8_6, all_8_6, simplifying with (21), % 50.74/8.17 | (374) gives: % 50.74/8.17 | (453) ? [v0: $i] : ? [v1: any] : (r(all_8_6, all_8_6) = v1 & % 50.74/8.17 | product(all_8_6, all_8_6) = v0 & $i(v0) & ( ~ (v0 = all_8_6) | v1 = % 50.74/8.17 | 0)) % 50.74/8.17 | % 50.74/8.17 | GROUND_INST: instantiating (2) with all_8_6, all_8_1, all_8_6, all_8_1, % 50.74/8.17 | all_8_2, simplifying with (21), (24), (157), (449) gives: % 50.74/8.17 | (454) ? [v0: $i] : (product(all_8_1, all_8_6) = v0 & product(all_8_6, v0) % 50.74/8.17 | = all_8_2 & $i(v0) & $i(all_8_2)) % 50.74/8.17 | % 50.74/8.17 | GROUND_INST: instantiating (1) with all_8_1, all_8_6, all_8_5, all_8_1, % 50.74/8.17 | all_8_0, simplifying with (21), (22), (24), (28), (449) gives: % 50.74/8.17 | (455) ? [v0: $i] : (product(v0, all_8_1) = all_8_0 & product(all_8_5, % 50.74/8.17 | all_8_6) = v0 & $i(v0) & $i(all_8_0)) % 50.74/8.17 | % 50.74/8.17 | GROUND_INST: instantiating (10) with all_8_1, all_8_6, simplifying with (21), % 50.74/8.17 | (24), (449) gives: % 50.74/8.17 | (456) ? [v0: $i] : ? [v1: any] : (r(all_8_1, all_8_6) = v1 & % 50.74/8.17 | product(all_8_1, all_8_6) = v0 & $i(v0) & ( ~ (v0 = all_8_6) | v1 = % 50.74/8.17 | 0)) % 50.74/8.17 | % 50.74/8.17 | GROUND_INST: instantiating (9) with all_8_6, all_8_1, simplifying with (21), % 50.74/8.17 | (24), (449) gives: % 50.74/8.17 | (457) ? [v0: $i] : ? [v1: any] : (r(all_8_6, all_8_1) = v1 & % 50.74/8.17 | product(all_8_1, all_8_6) = v0 & $i(v0) & ( ~ (v0 = all_8_6) | v1 = % 50.74/8.17 | 0)) % 50.74/8.17 | % 50.74/8.17 | GROUND_INST: instantiating (1) with all_8_5, all_8_5, all_8_3, all_8_5, % 50.74/8.17 | all_8_0, simplifying with (22), (23), (158), (372) gives: % 50.74/8.17 | (458) ? [v0: $i] : (product(v0, all_8_5) = all_8_0 & product(all_8_3, % 50.74/8.17 | all_8_5) = v0 & $i(v0) & $i(all_8_0)) % 50.74/8.17 | % 50.74/8.17 | GROUND_INST: instantiating (2) with all_8_1, all_8_5, all_8_5, all_8_5, % 50.74/8.17 | all_8_0, simplifying with (22), (24), (28), (372) gives: % 50.74/8.17 | (459) ? [v0: $i] : (product(all_8_5, v0) = all_8_0 & product(all_8_5, % 50.74/8.17 | all_8_1) = v0 & $i(v0) & $i(all_8_0)) % 50.74/8.17 | % 50.74/8.17 | GROUND_INST: instantiating (4) with all_8_5, all_8_5, simplifying with (22), % 50.74/8.17 | (372) gives: % 50.74/8.17 | (460) ? [v0: $i] : ? [v1: any] : (l(all_8_5, all_8_5) = v1 & % 50.74/8.17 | product(all_8_5, all_8_5) = v0 & $i(v0) & ( ~ (v0 = all_8_5) | v1 = % 50.74/8.17 | 0)) % 50.74/8.17 | % 50.74/8.17 | GROUND_INST: instantiating (10) with all_8_5, all_8_5, simplifying with (22), % 50.74/8.17 | (372) gives: % 50.74/8.17 | (461) ? [v0: $i] : ? [v1: any] : (r(all_8_5, all_8_5) = v1 & % 50.74/8.17 | product(all_8_5, all_8_5) = v0 & $i(v0) & ( ~ (v0 = all_8_5) | v1 = % 50.74/8.17 | 0)) % 50.74/8.17 | % 50.74/8.17 | GROUND_INST: instantiating (2) with all_8_5, all_8_3, all_8_5, all_8_3, % 50.74/8.17 | all_8_0, simplifying with (22), (23), (158), (448) gives: % 50.74/8.17 | (462) ? [v0: $i] : (product(all_8_3, all_8_5) = v0 & product(all_8_5, v0) % 50.74/8.17 | = all_8_0 & $i(v0) & $i(all_8_0)) % 50.74/8.17 | % 50.74/8.17 | GROUND_INST: instantiating (1) with all_8_3, all_8_5, all_8_6, all_8_3, % 50.74/8.17 | all_8_2, simplifying with (21), (22), (23), (26), (448) gives: % 50.74/8.17 | (463) ? [v0: $i] : (product(v0, all_8_3) = all_8_2 & product(all_8_6, % 50.74/8.17 | all_8_5) = v0 & $i(v0) & $i(all_8_2)) % 50.74/8.17 | % 50.74/8.17 | GROUND_INST: instantiating (10) with all_8_3, all_8_5, simplifying with (22), % 50.74/8.17 | (23), (448) gives: % 50.74/8.17 | (464) ? [v0: $i] : ? [v1: any] : (r(all_8_3, all_8_5) = v1 & % 50.74/8.17 | product(all_8_3, all_8_5) = v0 & $i(v0) & ( ~ (v0 = all_8_5) | v1 = % 50.74/8.17 | 0)) % 50.74/8.17 | % 50.74/8.17 | GROUND_INST: instantiating (9) with all_8_5, all_8_3, simplifying with (22), % 50.74/8.17 | (23), (448) gives: % 50.74/8.17 | (465) ? [v0: $i] : ? [v1: any] : (r(all_8_5, all_8_3) = v1 & % 50.74/8.17 | product(all_8_3, all_8_5) = v0 & $i(v0) & ( ~ (v0 = all_8_5) | v1 = % 50.74/8.17 | 0)) % 50.74/8.17 | % 50.74/8.17 | GROUND_INST: instantiating (2) with all_8_5, all_8_6, all_8_3, all_8_3, % 50.74/8.17 | all_8_0, simplifying with (21), (22), (23), (158), (444) gives: % 50.74/8.17 | (466) ? [v0: $i] : (product(all_8_3, v0) = all_8_0 & product(all_8_6, % 50.74/8.17 | all_8_5) = v0 & $i(v0) & $i(all_8_0)) % 50.74/8.17 | % 50.74/8.17 | GROUND_INST: instantiating (1) with all_8_6, all_8_3, all_8_6, all_8_3, % 50.74/8.17 | all_8_2, simplifying with (21), (23), (26), (444) gives: % 50.74/8.18 | (467) ? [v0: $i] : (product(v0, all_8_6) = all_8_2 & product(all_8_6, % 50.74/8.18 | all_8_3) = v0 & $i(v0) & $i(all_8_2)) % 50.74/8.18 | % 50.74/8.18 | GROUND_INST: instantiating (4) with all_8_6, all_8_3, simplifying with (21), % 50.74/8.18 | (23), (444) gives: % 50.74/8.18 | (468) ? [v0: $i] : ? [v1: any] : (l(all_8_6, all_8_3) = v1 & % 50.74/8.18 | product(all_8_6, all_8_3) = v0 & $i(v0) & ( ~ (v0 = all_8_6) | v1 = % 50.74/8.18 | 0)) % 50.74/8.18 | % 50.74/8.18 | GROUND_INST: instantiating (3) with all_8_3, all_8_6, simplifying with (21), % 50.74/8.18 | (23), (444) gives: % 50.74/8.18 | (469) ? [v0: $i] : ? [v1: any] : (l(all_8_3, all_8_6) = v1 & % 50.74/8.18 | product(all_8_6, all_8_3) = v0 & $i(v0) & ( ~ (v0 = all_8_6) | v1 = % 50.74/8.18 | 0)) % 50.74/8.18 | % 50.74/8.18 | GROUND_INST: instantiating (2) with all_8_6, all_8_5, all_8_1, all_8_1, % 50.74/8.18 | all_8_2, simplifying with (21), (22), (24), (157), (443) gives: % 50.74/8.18 | (470) ? [v0: $i] : (product(all_8_1, v0) = all_8_2 & product(all_8_5, % 50.74/8.18 | all_8_6) = v0 & $i(v0) & $i(all_8_2)) % 50.74/8.18 | % 50.74/8.18 | GROUND_INST: instantiating (1) with all_8_5, all_8_1, all_8_5, all_8_1, % 50.74/8.18 | all_8_0, simplifying with (22), (24), (28), (443) gives: % 50.74/8.18 | (471) ? [v0: $i] : (product(v0, all_8_5) = all_8_0 & product(all_8_5, % 50.74/8.18 | all_8_1) = v0 & $i(v0) & $i(all_8_0)) % 50.74/8.18 | % 50.74/8.18 | GROUND_INST: instantiating (4) with all_8_5, all_8_1, simplifying with (22), % 50.74/8.18 | (24), (443) gives: % 50.74/8.18 | (472) ? [v0: $i] : ? [v1: any] : (l(all_8_5, all_8_1) = v1 & % 50.74/8.18 | product(all_8_5, all_8_1) = v0 & $i(v0) & ( ~ (v0 = all_8_5) | v1 = % 50.74/8.18 | 0)) % 50.74/8.18 | % 50.74/8.18 | GROUND_INST: instantiating (3) with all_8_1, all_8_5, simplifying with (22), % 50.74/8.18 | (24), (443) gives: % 50.74/8.18 | (473) ? [v0: $i] : ? [v1: any] : (l(all_8_1, all_8_5) = v1 & % 50.74/8.18 | product(all_8_5, all_8_1) = v0 & $i(v0) & ( ~ (v0 = all_8_5) | v1 = % 50.74/8.18 | 0)) % 50.74/8.18 | % 50.74/8.18 | DELTA: instantiating (471) with fresh symbol all_163_0 gives: % 50.74/8.18 | (474) product(all_163_0, all_8_5) = all_8_0 & product(all_8_5, all_8_1) = % 50.74/8.18 | all_163_0 & $i(all_163_0) & $i(all_8_0) % 50.74/8.18 | % 50.74/8.18 | ALPHA: (474) implies: % 50.74/8.18 | (475) $i(all_163_0) % 50.74/8.18 | (476) product(all_8_5, all_8_1) = all_163_0 % 50.74/8.18 | (477) product(all_163_0, all_8_5) = all_8_0 % 50.74/8.18 | % 50.74/8.18 | DELTA: instantiating (463) with fresh symbol all_165_0 gives: % 50.74/8.18 | (478) product(all_165_0, all_8_3) = all_8_2 & product(all_8_6, all_8_5) = % 50.74/8.18 | all_165_0 & $i(all_165_0) & $i(all_8_2) % 50.74/8.18 | % 50.74/8.18 | ALPHA: (478) implies: % 50.74/8.18 | (479) $i(all_165_0) % 50.74/8.18 | (480) product(all_8_6, all_8_5) = all_165_0 % 50.74/8.18 | % 50.74/8.18 | DELTA: instantiating (462) with fresh symbol all_167_0 gives: % 50.74/8.18 | (481) product(all_8_3, all_8_5) = all_167_0 & product(all_8_5, all_167_0) = % 50.74/8.18 | all_8_0 & $i(all_167_0) & $i(all_8_0) % 50.74/8.18 | % 50.74/8.18 | ALPHA: (481) implies: % 50.74/8.18 | (482) product(all_8_5, all_167_0) = all_8_0 % 50.74/8.18 | (483) product(all_8_3, all_8_5) = all_167_0 % 50.74/8.18 | % 50.74/8.18 | DELTA: instantiating (459) with fresh symbol all_169_0 gives: % 50.74/8.18 | (484) product(all_8_5, all_169_0) = all_8_0 & product(all_8_5, all_8_1) = % 50.74/8.18 | all_169_0 & $i(all_169_0) & $i(all_8_0) % 50.74/8.18 | % 50.74/8.18 | ALPHA: (484) implies: % 50.74/8.18 | (485) product(all_8_5, all_8_1) = all_169_0 % 50.74/8.18 | % 50.74/8.18 | DELTA: instantiating (458) with fresh symbol all_171_0 gives: % 50.74/8.18 | (486) product(all_171_0, all_8_5) = all_8_0 & product(all_8_3, all_8_5) = % 50.74/8.18 | all_171_0 & $i(all_171_0) & $i(all_8_0) % 50.74/8.18 | % 50.74/8.18 | ALPHA: (486) implies: % 50.74/8.18 | (487) product(all_8_3, all_8_5) = all_171_0 % 50.74/8.18 | % 50.74/8.18 | DELTA: instantiating (455) with fresh symbol all_173_0 gives: % 50.74/8.18 | (488) product(all_173_0, all_8_1) = all_8_0 & product(all_8_5, all_8_6) = % 50.74/8.18 | all_173_0 & $i(all_173_0) & $i(all_8_0) % 50.74/8.18 | % 50.74/8.18 | ALPHA: (488) implies: % 50.74/8.18 | (489) $i(all_173_0) % 50.74/8.18 | (490) product(all_8_5, all_8_6) = all_173_0 % 50.74/8.18 | % 50.74/8.18 | DELTA: instantiating (454) with fresh symbol all_175_0 gives: % 50.74/8.18 | (491) product(all_8_1, all_8_6) = all_175_0 & product(all_8_6, all_175_0) = % 50.74/8.18 | all_8_2 & $i(all_175_0) & $i(all_8_2) % 50.74/8.18 | % 50.74/8.18 | ALPHA: (491) implies: % 50.74/8.18 | (492) $i(all_175_0) % 50.74/8.18 | (493) product(all_8_6, all_175_0) = all_8_2 % 50.74/8.18 | (494) product(all_8_1, all_8_6) = all_175_0 % 50.74/8.18 | % 50.74/8.18 | DELTA: instantiating (451) with fresh symbol all_177_0 gives: % 50.74/8.18 | (495) product(all_8_6, all_177_0) = all_8_2 & product(all_8_6, all_8_3) = % 50.74/8.18 | all_177_0 & $i(all_177_0) & $i(all_8_2) % 50.74/8.18 | % 50.74/8.18 | ALPHA: (495) implies: % 50.74/8.18 | (496) product(all_8_6, all_8_3) = all_177_0 % 50.74/8.18 | % 50.74/8.18 | DELTA: instantiating (470) with fresh symbol all_179_0 gives: % 50.74/8.18 | (497) product(all_8_1, all_179_0) = all_8_2 & product(all_8_5, all_8_6) = % 50.74/8.18 | all_179_0 & $i(all_179_0) & $i(all_8_2) % 50.74/8.18 | % 50.74/8.18 | ALPHA: (497) implies: % 50.74/8.18 | (498) product(all_8_5, all_8_6) = all_179_0 % 50.74/8.18 | (499) product(all_8_1, all_179_0) = all_8_2 % 50.74/8.18 | % 50.74/8.18 | DELTA: instantiating (467) with fresh symbol all_181_0 gives: % 50.74/8.18 | (500) product(all_181_0, all_8_6) = all_8_2 & product(all_8_6, all_8_3) = % 50.74/8.18 | all_181_0 & $i(all_181_0) & $i(all_8_2) % 50.74/8.18 | % 50.74/8.18 | ALPHA: (500) implies: % 50.74/8.18 | (501) product(all_8_6, all_8_3) = all_181_0 % 50.74/8.18 | (502) product(all_181_0, all_8_6) = all_8_2 % 50.74/8.18 | % 50.74/8.18 | DELTA: instantiating (466) with fresh symbol all_183_0 gives: % 50.74/8.18 | (503) product(all_8_3, all_183_0) = all_8_0 & product(all_8_6, all_8_5) = % 50.74/8.18 | all_183_0 & $i(all_183_0) & $i(all_8_0) % 50.74/8.18 | % 50.74/8.18 | ALPHA: (503) implies: % 50.74/8.18 | (504) product(all_8_6, all_8_5) = all_183_0 % 50.74/8.18 | (505) product(all_8_3, all_183_0) = all_8_0 % 50.74/8.18 | % 50.74/8.18 | DELTA: instantiating (450) with fresh symbol all_185_0 gives: % 50.74/8.18 | (506) product(all_185_0, all_8_6) = all_8_2 & product(all_8_1, all_8_6) = % 50.74/8.18 | all_185_0 & $i(all_185_0) & $i(all_8_2) % 50.74/8.18 | % 50.74/8.18 | ALPHA: (506) implies: % 50.74/8.18 | (507) product(all_8_1, all_8_6) = all_185_0 % 50.74/8.18 | % 50.74/8.18 | DELTA: instantiating (469) with fresh symbols all_187_0, all_187_1 gives: % 50.74/8.18 | (508) l(all_8_3, all_8_6) = all_187_0 & product(all_8_6, all_8_3) = % 50.74/8.18 | all_187_1 & $i(all_187_1) & ( ~ (all_187_1 = all_8_6) | all_187_0 = % 50.74/8.18 | 0) % 50.74/8.18 | % 50.74/8.18 | ALPHA: (508) implies: % 50.74/8.18 | (509) product(all_8_6, all_8_3) = all_187_1 % 50.74/8.18 | % 50.74/8.18 | DELTA: instantiating (453) with fresh symbols all_189_0, all_189_1 gives: % 50.74/8.18 | (510) r(all_8_6, all_8_6) = all_189_0 & product(all_8_6, all_8_6) = % 50.74/8.18 | all_189_1 & $i(all_189_1) & ( ~ (all_189_1 = all_8_6) | all_189_0 = % 50.74/8.18 | 0) % 50.74/8.18 | % 50.74/8.18 | ALPHA: (510) implies: % 50.74/8.18 | (511) $i(all_189_1) % 50.74/8.18 | (512) product(all_8_6, all_8_6) = all_189_1 % 50.74/8.18 | % 50.74/8.18 | DELTA: instantiating (452) with fresh symbols all_191_0, all_191_1 gives: % 50.74/8.18 | (513) l(all_8_6, all_8_6) = all_191_0 & product(all_8_6, all_8_6) = % 50.74/8.18 | all_191_1 & $i(all_191_1) & ( ~ (all_191_1 = all_8_6) | all_191_0 = % 50.74/8.18 | 0) % 50.74/8.18 | % 50.74/8.18 | ALPHA: (513) implies: % 50.74/8.18 | (514) product(all_8_6, all_8_6) = all_191_1 % 50.74/8.18 | % 50.74/8.18 | DELTA: instantiating (468) with fresh symbols all_193_0, all_193_1 gives: % 50.74/8.18 | (515) l(all_8_6, all_8_3) = all_193_0 & product(all_8_6, all_8_3) = % 50.74/8.18 | all_193_1 & $i(all_193_1) & ( ~ (all_193_1 = all_8_6) | all_193_0 = % 50.74/8.18 | 0) % 50.74/8.18 | % 50.74/8.18 | ALPHA: (515) implies: % 50.74/8.18 | (516) product(all_8_6, all_8_3) = all_193_1 % 50.74/8.18 | (517) l(all_8_6, all_8_3) = all_193_0 % 50.74/8.18 | (518) ~ (all_193_1 = all_8_6) | all_193_0 = 0 % 50.74/8.18 | % 50.74/8.18 | DELTA: instantiating (465) with fresh symbols all_195_0, all_195_1 gives: % 50.74/8.19 | (519) r(all_8_5, all_8_3) = all_195_0 & product(all_8_3, all_8_5) = % 50.74/8.19 | all_195_1 & $i(all_195_1) & ( ~ (all_195_1 = all_8_5) | all_195_0 = % 50.74/8.19 | 0) % 50.74/8.19 | % 50.74/8.19 | ALPHA: (519) implies: % 50.74/8.19 | (520) product(all_8_3, all_8_5) = all_195_1 % 50.74/8.19 | % 50.74/8.19 | DELTA: instantiating (464) with fresh symbols all_197_0, all_197_1 gives: % 50.74/8.19 | (521) r(all_8_3, all_8_5) = all_197_0 & product(all_8_3, all_8_5) = % 50.74/8.19 | all_197_1 & $i(all_197_1) & ( ~ (all_197_1 = all_8_5) | all_197_0 = % 50.74/8.19 | 0) % 50.74/8.19 | % 50.74/8.19 | ALPHA: (521) implies: % 50.74/8.19 | (522) product(all_8_3, all_8_5) = all_197_1 % 50.74/8.19 | % 50.74/8.19 | DELTA: instantiating (461) with fresh symbols all_199_0, all_199_1 gives: % 50.74/8.19 | (523) r(all_8_5, all_8_5) = all_199_0 & product(all_8_5, all_8_5) = % 50.74/8.19 | all_199_1 & $i(all_199_1) & ( ~ (all_199_1 = all_8_5) | all_199_0 = % 50.74/8.19 | 0) % 50.74/8.19 | % 50.74/8.19 | ALPHA: (523) implies: % 50.74/8.19 | (524) $i(all_199_1) % 50.74/8.19 | (525) product(all_8_5, all_8_5) = all_199_1 % 50.74/8.19 | % 50.74/8.19 | DELTA: instantiating (460) with fresh symbols all_201_0, all_201_1 gives: % 50.74/8.19 | (526) l(all_8_5, all_8_5) = all_201_0 & product(all_8_5, all_8_5) = % 50.74/8.19 | all_201_1 & $i(all_201_1) & ( ~ (all_201_1 = all_8_5) | all_201_0 = % 50.74/8.19 | 0) % 50.74/8.19 | % 50.74/8.19 | ALPHA: (526) implies: % 50.74/8.19 | (527) product(all_8_5, all_8_5) = all_201_1 % 50.74/8.19 | % 50.74/8.19 | DELTA: instantiating (457) with fresh symbols all_203_0, all_203_1 gives: % 50.74/8.19 | (528) r(all_8_6, all_8_1) = all_203_0 & product(all_8_1, all_8_6) = % 50.74/8.19 | all_203_1 & $i(all_203_1) & ( ~ (all_203_1 = all_8_6) | all_203_0 = % 50.74/8.19 | 0) % 50.74/8.19 | % 50.74/8.19 | ALPHA: (528) implies: % 50.74/8.19 | (529) product(all_8_1, all_8_6) = all_203_1 % 50.74/8.19 | (530) r(all_8_6, all_8_1) = all_203_0 % 50.74/8.19 | (531) ~ (all_203_1 = all_8_6) | all_203_0 = 0 % 50.74/8.19 | % 50.74/8.19 | DELTA: instantiating (473) with fresh symbols all_205_0, all_205_1 gives: % 50.74/8.19 | (532) l(all_8_1, all_8_5) = all_205_0 & product(all_8_5, all_8_1) = % 50.74/8.19 | all_205_1 & $i(all_205_1) & ( ~ (all_205_1 = all_8_5) | all_205_0 = % 50.74/8.19 | 0) % 50.74/8.19 | % 50.74/8.19 | ALPHA: (532) implies: % 50.74/8.19 | (533) product(all_8_5, all_8_1) = all_205_1 % 50.74/8.19 | (534) l(all_8_1, all_8_5) = all_205_0 % 50.74/8.19 | (535) ~ (all_205_1 = all_8_5) | all_205_0 = 0 % 50.74/8.19 | % 50.74/8.19 | DELTA: instantiating (456) with fresh symbols all_207_0, all_207_1 gives: % 50.74/8.19 | (536) r(all_8_1, all_8_6) = all_207_0 & product(all_8_1, all_8_6) = % 50.74/8.19 | all_207_1 & $i(all_207_1) & ( ~ (all_207_1 = all_8_6) | all_207_0 = % 50.74/8.19 | 0) % 50.74/8.19 | % 50.74/8.19 | ALPHA: (536) implies: % 50.74/8.19 | (537) product(all_8_1, all_8_6) = all_207_1 % 50.74/8.19 | % 50.74/8.19 | DELTA: instantiating (472) with fresh symbols all_209_0, all_209_1 gives: % 50.74/8.19 | (538) l(all_8_5, all_8_1) = all_209_0 & product(all_8_5, all_8_1) = % 50.74/8.19 | all_209_1 & $i(all_209_1) & ( ~ (all_209_1 = all_8_5) | all_209_0 = % 50.74/8.19 | 0) % 50.74/8.19 | % 50.74/8.19 | ALPHA: (538) implies: % 50.74/8.19 | (539) product(all_8_5, all_8_1) = all_209_1 % 50.74/8.19 | (540) l(all_8_5, all_8_1) = all_209_0 % 50.74/8.19 | (541) ~ (all_209_1 = all_8_5) | all_209_0 = 0 % 50.74/8.19 | % 50.74/8.19 | GROUND_INST: instantiating (17) with all_8_6, all_191_1, all_8_6, all_8_6, % 50.74/8.19 | simplifying with (374), (514) gives: % 50.74/8.19 | (542) all_191_1 = all_8_6 % 50.74/8.19 | % 50.74/8.19 | GROUND_INST: instantiating (17) with all_189_1, all_191_1, all_8_6, all_8_6, % 50.74/8.19 | simplifying with (512), (514) gives: % 50.74/8.19 | (543) all_191_1 = all_189_1 % 50.74/8.19 | % 50.74/8.19 | GROUND_INST: instantiating (17) with all_8_1, all_183_0, all_8_5, all_8_6, % 50.74/8.19 | simplifying with (25), (504) gives: % 50.74/8.19 | (544) all_183_0 = all_8_1 % 50.74/8.19 | % 50.74/8.19 | GROUND_INST: instantiating (17) with all_165_0, all_183_0, all_8_5, all_8_6, % 50.74/8.19 | simplifying with (480), (504) gives: % 50.74/8.19 | (545) all_183_0 = all_165_0 % 50.74/8.19 | % 50.74/8.19 | GROUND_INST: instantiating (17) with all_8_2, all_187_1, all_8_3, all_8_6, % 50.74/8.19 | simplifying with (26), (509) gives: % 50.74/8.19 | (546) all_187_1 = all_8_2 % 50.74/8.19 | % 50.74/8.19 | GROUND_INST: instantiating (17) with all_181_0, all_187_1, all_8_3, all_8_6, % 50.74/8.19 | simplifying with (501), (509) gives: % 50.74/8.19 | (547) all_187_1 = all_181_0 % 50.74/8.19 | % 50.74/8.19 | GROUND_INST: instantiating (17) with all_181_0, all_193_1, all_8_3, all_8_6, % 50.74/8.19 | simplifying with (501), (516) gives: % 50.74/8.19 | (548) all_193_1 = all_181_0 % 50.74/8.19 | % 50.74/8.19 | GROUND_INST: instantiating (17) with all_177_0, all_193_1, all_8_3, all_8_6, % 50.74/8.19 | simplifying with (496), (516) gives: % 50.74/8.19 | (549) all_193_1 = all_177_0 % 50.74/8.19 | % 50.74/8.19 | GROUND_INST: instantiating (17) with all_8_3, all_179_0, all_8_6, all_8_5, % 50.74/8.19 | simplifying with (27), (498) gives: % 50.74/8.19 | (550) all_179_0 = all_8_3 % 50.74/8.19 | % 50.74/8.19 | GROUND_INST: instantiating (17) with all_173_0, all_179_0, all_8_6, all_8_5, % 50.74/8.19 | simplifying with (490), (498) gives: % 50.74/8.19 | (551) all_179_0 = all_173_0 % 50.74/8.19 | % 50.74/8.19 | GROUND_INST: instantiating (17) with all_8_5, all_201_1, all_8_5, all_8_5, % 50.74/8.19 | simplifying with (372), (527) gives: % 50.74/8.19 | (552) all_201_1 = all_8_5 % 50.74/8.19 | % 50.74/8.19 | GROUND_INST: instantiating (17) with all_199_1, all_201_1, all_8_5, all_8_5, % 50.74/8.19 | simplifying with (525), (527) gives: % 50.74/8.19 | (553) all_201_1 = all_199_1 % 50.74/8.19 | % 50.74/8.19 | GROUND_INST: instantiating (17) with all_8_0, all_205_1, all_8_1, all_8_5, % 50.74/8.19 | simplifying with (28), (533) gives: % 50.74/8.19 | (554) all_205_1 = all_8_0 % 50.74/8.19 | % 50.74/8.19 | GROUND_INST: instantiating (17) with all_163_0, all_205_1, all_8_1, all_8_5, % 50.74/8.19 | simplifying with (476), (533) gives: % 50.74/8.19 | (555) all_205_1 = all_163_0 % 50.74/8.19 | % 50.74/8.19 | GROUND_INST: instantiating (17) with all_205_1, all_209_1, all_8_1, all_8_5, % 50.74/8.19 | simplifying with (533), (539) gives: % 50.74/8.19 | (556) all_209_1 = all_205_1 % 50.74/8.19 | % 50.74/8.19 | GROUND_INST: instantiating (17) with all_169_0, all_209_1, all_8_1, all_8_5, % 50.74/8.19 | simplifying with (485), (539) gives: % 50.74/8.19 | (557) all_209_1 = all_169_0 % 50.74/8.19 | % 50.74/8.19 | GROUND_INST: instantiating (17) with all_8_0, all_195_1, all_8_5, all_8_3, % 50.74/8.19 | simplifying with (158), (520) gives: % 50.74/8.19 | (558) all_195_1 = all_8_0 % 50.74/8.19 | % 50.74/8.19 | GROUND_INST: instantiating (17) with all_171_0, all_195_1, all_8_5, all_8_3, % 50.74/8.19 | simplifying with (487), (520) gives: % 50.74/8.19 | (559) all_195_1 = all_171_0 % 50.74/8.19 | % 50.74/8.19 | GROUND_INST: instantiating (17) with all_195_1, all_197_1, all_8_5, all_8_3, % 50.74/8.19 | simplifying with (520), (522) gives: % 50.74/8.19 | (560) all_197_1 = all_195_1 % 50.74/8.19 | % 50.74/8.19 | GROUND_INST: instantiating (17) with all_167_0, all_197_1, all_8_5, all_8_3, % 50.74/8.19 | simplifying with (483), (522) gives: % 50.74/8.19 | (561) all_197_1 = all_167_0 % 50.74/8.19 | % 50.74/8.19 | GROUND_INST: instantiating (17) with all_8_2, all_185_0, all_8_6, all_8_1, % 50.74/8.19 | simplifying with (157), (507) gives: % 50.74/8.19 | (562) all_185_0 = all_8_2 % 50.74/8.19 | % 50.74/8.19 | GROUND_INST: instantiating (17) with all_185_0, all_203_1, all_8_6, all_8_1, % 50.74/8.19 | simplifying with (507), (529) gives: % 50.74/8.19 | (563) all_203_1 = all_185_0 % 50.74/8.19 | % 50.74/8.19 | GROUND_INST: instantiating (17) with all_203_1, all_207_1, all_8_6, all_8_1, % 50.74/8.19 | simplifying with (529), (537) gives: % 50.74/8.19 | (564) all_207_1 = all_203_1 % 50.74/8.19 | % 50.74/8.19 | GROUND_INST: instantiating (17) with all_175_0, all_207_1, all_8_6, all_8_1, % 50.74/8.19 | simplifying with (494), (537) gives: % 50.74/8.19 | (565) all_207_1 = all_175_0 % 50.74/8.19 | % 50.74/8.19 | GROUND_INST: instantiating (18) with all_29_1, all_193_0, all_8_3, all_8_6, % 50.74/8.19 | simplifying with (77), (517) gives: % 50.74/8.19 | (566) all_193_0 = all_29_1 % 50.74/8.19 | % 50.74/8.19 | GROUND_INST: instantiating (18) with all_19_1, all_209_0, all_8_1, all_8_5, % 50.74/8.19 | simplifying with (59), (540) gives: % 50.74/8.19 | (567) all_209_0 = all_19_1 % 50.74/8.19 | % 50.74/8.19 | GROUND_INST: instantiating (18) with all_49_1, all_205_0, all_8_5, all_8_1, % 50.74/8.19 | simplifying with (109), (534) gives: % 50.74/8.19 | (568) all_205_0 = all_49_1 % 50.74/8.19 | % 50.74/8.19 | GROUND_INST: instantiating (19) with all_86_1, all_203_0, all_8_1, all_8_6, % 50.74/8.19 | simplifying with (224), (530) gives: % 50.74/8.19 | (569) all_203_0 = all_86_1 % 50.74/8.19 | % 50.74/8.19 | COMBINE_EQS: (556), (557) imply: % 50.74/8.19 | (570) all_205_1 = all_169_0 % 50.74/8.19 | % 50.74/8.19 | SIMP: (570) implies: % 50.74/8.19 | (571) all_205_1 = all_169_0 % 50.74/8.19 | % 50.74/8.19 | COMBINE_EQS: (564), (565) imply: % 50.74/8.19 | (572) all_203_1 = all_175_0 % 50.74/8.19 | % 50.74/8.19 | SIMP: (572) implies: % 50.74/8.19 | (573) all_203_1 = all_175_0 % 50.74/8.19 | % 50.74/8.19 | COMBINE_EQS: (555), (571) imply: % 50.74/8.19 | (574) all_169_0 = all_163_0 % 50.74/8.19 | % 50.74/8.19 | COMBINE_EQS: (554), (571) imply: % 50.74/8.19 | (575) all_169_0 = all_8_0 % 50.74/8.19 | % 50.74/8.19 | COMBINE_EQS: (563), (573) imply: % 50.74/8.19 | (576) all_185_0 = all_175_0 % 50.74/8.19 | % 50.74/8.19 | SIMP: (576) implies: % 50.74/8.19 | (577) all_185_0 = all_175_0 % 50.74/8.19 | % 50.74/8.19 | COMBINE_EQS: (552), (553) imply: % 50.74/8.19 | (578) all_199_1 = all_8_5 % 50.74/8.19 | % 50.74/8.19 | COMBINE_EQS: (560), (561) imply: % 50.74/8.19 | (579) all_195_1 = all_167_0 % 50.74/8.19 | % 50.74/8.19 | SIMP: (579) implies: % 50.74/8.19 | (580) all_195_1 = all_167_0 % 50.74/8.19 | % 50.74/8.19 | COMBINE_EQS: (558), (559) imply: % 50.74/8.19 | (581) all_171_0 = all_8_0 % 50.74/8.19 | % 50.74/8.19 | COMBINE_EQS: (559), (580) imply: % 50.74/8.19 | (582) all_171_0 = all_167_0 % 50.74/8.19 | % 50.74/8.19 | COMBINE_EQS: (548), (549) imply: % 50.74/8.19 | (583) all_181_0 = all_177_0 % 50.74/8.19 | % 50.74/8.19 | SIMP: (583) implies: % 50.74/8.19 | (584) all_181_0 = all_177_0 % 50.74/8.19 | % 50.74/8.19 | COMBINE_EQS: (542), (543) imply: % 50.74/8.19 | (585) all_189_1 = all_8_6 % 50.74/8.19 | % 50.74/8.19 | SIMP: (585) implies: % 50.74/8.19 | (586) all_189_1 = all_8_6 % 50.74/8.19 | % 50.74/8.19 | COMBINE_EQS: (546), (547) imply: % 50.74/8.19 | (587) all_181_0 = all_8_2 % 50.74/8.19 | % 50.74/8.19 | SIMP: (587) implies: % 50.74/8.19 | (588) all_181_0 = all_8_2 % 50.74/8.19 | % 50.74/8.19 | COMBINE_EQS: (562), (577) imply: % 50.74/8.19 | (589) all_175_0 = all_8_2 % 50.74/8.19 | % 50.74/8.19 | COMBINE_EQS: (544), (545) imply: % 50.74/8.19 | (590) all_165_0 = all_8_1 % 50.74/8.19 | % 50.74/8.19 | COMBINE_EQS: (584), (588) imply: % 50.74/8.19 | (591) all_177_0 = all_8_2 % 50.74/8.19 | % 50.74/8.19 | COMBINE_EQS: (550), (551) imply: % 50.74/8.19 | (592) all_173_0 = all_8_3 % 50.74/8.19 | % 50.74/8.19 | COMBINE_EQS: (581), (582) imply: % 50.74/8.19 | (593) all_167_0 = all_8_0 % 50.74/8.19 | % 50.74/8.19 | COMBINE_EQS: (574), (575) imply: % 50.74/8.19 | (594) all_163_0 = all_8_0 % 50.74/8.19 | % 50.74/8.19 | COMBINE_EQS: (549), (591) imply: % 50.74/8.19 | (595) all_193_1 = all_8_2 % 50.74/8.19 | % 50.74/8.19 | COMBINE_EQS: (573), (589) imply: % 50.74/8.19 | (596) all_203_1 = all_8_2 % 50.74/8.19 | % 50.74/8.19 | COMBINE_EQS: (557), (575) imply: % 50.74/8.19 | (597) all_209_1 = all_8_0 % 50.74/8.19 | % 50.74/8.19 | REDUCE: (502), (588) imply: % 50.74/8.19 | (598) product(all_8_2, all_8_6) = all_8_2 % 50.74/8.19 | % 50.74/8.19 | REDUCE: (477), (594) imply: % 50.74/8.20 | (599) product(all_8_0, all_8_5) = all_8_0 % 50.74/8.20 | % 50.74/8.20 | REDUCE: (499), (550) imply: % 50.74/8.20 | (600) product(all_8_1, all_8_3) = all_8_2 % 50.74/8.20 | % 50.74/8.20 | REDUCE: (505), (544) imply: % 50.74/8.20 | (601) product(all_8_3, all_8_1) = all_8_0 % 50.74/8.20 | % 50.74/8.20 | REDUCE: (482), (593) imply: % 50.74/8.20 | (602) product(all_8_5, all_8_0) = all_8_0 % 50.74/8.20 | % 50.74/8.20 | REDUCE: (493), (589) imply: % 50.74/8.20 | (603) product(all_8_6, all_8_2) = all_8_2 % 50.74/8.20 | % 50.74/8.20 | REDUCE: (492), (589) imply: % 50.74/8.20 | (604) $i(all_8_2) % 50.74/8.20 | % 50.74/8.20 | REDUCE: (475), (594) imply: % 50.74/8.20 | (605) $i(all_8_0) % 50.74/8.20 | % 50.74/8.20 | BETA: splitting (30) gives: % 50.74/8.20 | % 50.74/8.20 | Case 1: % 50.74/8.20 | | % 50.74/8.20 | | (606) all_8_0 = all_8_5 & all_8_2 = all_8_6 & ~ (all_8_4 = 0) % 50.74/8.20 | | % 50.74/8.20 | | ALPHA: (606) implies: % 50.74/8.20 | | (607) all_8_2 = all_8_6 % 50.74/8.20 | | (608) all_8_0 = all_8_5 % 50.74/8.20 | | (609) ~ (all_8_4 = 0) % 50.74/8.20 | | % 50.74/8.20 | | COMBINE_EQS: (595), (607) imply: % 50.74/8.20 | | (610) all_193_1 = all_8_6 % 50.74/8.20 | | % 50.74/8.20 | | COMBINE_EQS: (596), (607) imply: % 50.74/8.20 | | (611) all_203_1 = all_8_6 % 50.74/8.20 | | % 50.74/8.20 | | COMBINE_EQS: (554), (608) imply: % 50.74/8.20 | | (612) all_205_1 = all_8_5 % 50.74/8.20 | | % 50.74/8.20 | | BETA: splitting (178) gives: % 50.74/8.20 | | % 50.74/8.20 | | Case 1: % 50.74/8.20 | | | % 50.74/8.20 | | | (613) all_29_1 = 0 % 50.74/8.20 | | | % 50.74/8.20 | | | REDUCE: (77), (613) imply: % 50.74/8.20 | | | (614) l(all_8_6, all_8_3) = 0 % 50.74/8.20 | | | % 50.74/8.20 | | | BETA: splitting (181) gives: % 50.74/8.20 | | | % 50.74/8.20 | | | Case 1: % 50.74/8.20 | | | | % 50.74/8.20 | | | | (615) all_49_1 = 0 % 50.74/8.20 | | | | % 50.74/8.20 | | | | REDUCE: (109), (615) imply: % 50.74/8.20 | | | | (616) l(all_8_1, all_8_5) = 0 % 50.74/8.20 | | | | % 50.74/8.20 | | | | BETA: splitting (300) gives: % 50.74/8.20 | | | | % 50.74/8.20 | | | | Case 1: % 50.74/8.20 | | | | | % 50.74/8.20 | | | | | (617) all_86_1 = 0 % 50.74/8.20 | | | | | % 50.74/8.20 | | | | | REDUCE: (224), (617) imply: % 50.74/8.20 | | | | | (618) r(all_8_6, all_8_1) = 0 % 50.74/8.20 | | | | | % 50.74/8.20 | | | | | BETA: splitting (64) gives: % 50.74/8.20 | | | | | % 50.74/8.20 | | | | | Case 1: % 50.74/8.20 | | | | | | % 50.74/8.20 | | | | | | (619) ~ (all_21_1 = 0) % 50.74/8.20 | | | | | | % 50.74/8.20 | | | | | | BETA: splitting (82) gives: % 50.74/8.20 | | | | | | % 50.74/8.20 | | | | | | Case 1: % 50.74/8.20 | | | | | | | % 50.74/8.20 | | | | | | | (620) ~ (all_31_1 = 0) % 50.74/8.20 | | | | | | | % 50.74/8.20 | | | | | | | BETA: splitting (177) gives: % 50.74/8.20 | | | | | | | % 50.74/8.20 | | | | | | | Case 1: % 50.74/8.20 | | | | | | | | % 50.74/8.20 | | | | | | | | (621) all_21_1 = 0 % 50.74/8.20 | | | | | | | | % 50.74/8.20 | | | | | | | | REDUCE: (619), (621) imply: % 50.74/8.20 | | | | | | | | (622) $false % 50.74/8.20 | | | | | | | | % 50.74/8.20 | | | | | | | | CLOSE: (622) is inconsistent. % 50.74/8.20 | | | | | | | | % 50.74/8.20 | | | | | | | Case 2: % 50.74/8.20 | | | | | | | | % 50.74/8.20 | | | | | | | | (623) ? [v0: $i] : ? [v1: $i] : (product(all_8_5, all_8_6) % 50.74/8.20 | | | | | | | | = v1 & product(all_8_6, all_8_5) = v0 & $i(v1) & % 50.74/8.20 | | | | | | | | $i(v0) & ( ~ (v1 = all_8_5) | ~ (v0 = all_8_6))) % 50.74/8.20 | | | | | | | | % 50.74/8.20 | | | | | | | | DELTA: instantiating (623) with fresh symbols all_345_0, % 50.74/8.20 | | | | | | | | all_345_1 gives: % 50.74/8.20 | | | | | | | | (624) product(all_8_5, all_8_6) = all_345_0 & % 50.74/8.20 | | | | | | | | product(all_8_6, all_8_5) = all_345_1 & $i(all_345_0) & % 50.74/8.20 | | | | | | | | $i(all_345_1) & ( ~ (all_345_0 = all_8_5) | ~ % 50.74/8.20 | | | | | | | | (all_345_1 = all_8_6)) % 50.74/8.20 | | | | | | | | % 50.74/8.20 | | | | | | | | ALPHA: (624) implies: % 50.74/8.20 | | | | | | | | (625) product(all_8_6, all_8_5) = all_345_1 % 50.74/8.20 | | | | | | | | % 50.74/8.20 | | | | | | | | GROUND_INST: instantiating (17) with all_8_1, all_345_1, % 50.74/8.20 | | | | | | | | all_8_5, all_8_6, simplifying with (25), (625) % 50.74/8.20 | | | | | | | | gives: % 50.74/8.20 | | | | | | | | (626) all_345_1 = all_8_1 % 50.74/8.20 | | | | | | | | % 50.74/8.20 | | | | | | | | BETA: splitting (179) gives: % 50.74/8.20 | | | | | | | | % 50.74/8.20 | | | | | | | | Case 1: % 50.74/8.20 | | | | | | | | | % 50.74/8.20 | | | | | | | | | (627) all_31_1 = 0 % 50.74/8.20 | | | | | | | | | % 50.74/8.20 | | | | | | | | | REDUCE: (620), (627) imply: % 50.74/8.20 | | | | | | | | | (628) $false % 50.74/8.20 | | | | | | | | | % 50.74/8.20 | | | | | | | | | CLOSE: (628) is inconsistent. % 50.74/8.20 | | | | | | | | | % 50.74/8.20 | | | | | | | | Case 2: % 50.74/8.20 | | | | | | | | | % 50.74/8.20 | | | | | | | | | (629) ? [v0: $i] : ? [v1: $i] : (product(all_8_5, % 50.74/8.20 | | | | | | | | | all_8_6) = v0 & product(all_8_6, all_8_5) = v1 & % 50.74/8.20 | | | | | | | | | $i(v1) & $i(v0) & ( ~ (v1 = all_8_6) | ~ (v0 = % 50.74/8.20 | | | | | | | | | all_8_5))) % 50.74/8.20 | | | | | | | | | % 50.74/8.20 | | | | | | | | | DELTA: instantiating (629) with fresh symbols all_357_0, % 50.74/8.20 | | | | | | | | | all_357_1 gives: % 50.74/8.20 | | | | | | | | | (630) product(all_8_5, all_8_6) = all_357_1 & % 50.74/8.20 | | | | | | | | | product(all_8_6, all_8_5) = all_357_0 & $i(all_357_0) % 50.74/8.20 | | | | | | | | | & $i(all_357_1) & ( ~ (all_357_0 = all_8_6) | ~ % 50.74/8.20 | | | | | | | | | (all_357_1 = all_8_5)) % 50.74/8.20 | | | | | | | | | % 50.74/8.20 | | | | | | | | | ALPHA: (630) implies: % 50.74/8.20 | | | | | | | | | (631) $i(all_357_0) % 50.74/8.20 | | | | | | | | | (632) product(all_8_6, all_8_5) = all_357_0 % 50.74/8.20 | | | | | | | | | % 50.74/8.20 | | | | | | | | | GROUND_INST: instantiating (17) with all_8_1, all_357_0, % 50.74/8.20 | | | | | | | | | all_8_5, all_8_6, simplifying with (25), (632) % 50.74/8.20 | | | | | | | | | gives: % 50.74/8.20 | | | | | | | | | (633) all_357_0 = all_8_1 % 50.74/8.20 | | | | | | | | | % 50.74/8.20 | | | | | | | | | GROUND_INST: instantiating (16) with all_8_6, all_8_5, all_8_4, % 50.74/8.20 | | | | | | | | | all_8_1, simplifying with (21), (22), (24), (29), % 50.74/8.20 | | | | | | | | | (618) gives: % 50.74/8.20 | | | | | | | | | (634) all_8_4 = 0 | ? [v0: int] : ( ~ (v0 = 0) & % 50.74/8.20 | | | | | | | | | l(all_8_1, all_8_5) = v0) % 50.74/8.20 | | | | | | | | | % 50.74/8.20 | | | | | | | | | BETA: splitting (634) gives: % 50.74/8.20 | | | | | | | | | % 50.74/8.20 | | | | | | | | | Case 1: % 50.74/8.20 | | | | | | | | | | % 50.74/8.20 | | | | | | | | | | (635) all_8_4 = 0 % 50.74/8.20 | | | | | | | | | | % 50.74/8.20 | | | | | | | | | | REDUCE: (609), (635) imply: % 50.74/8.20 | | | | | | | | | | (636) $false % 50.74/8.20 | | | | | | | | | | % 50.74/8.20 | | | | | | | | | | CLOSE: (636) is inconsistent. % 50.74/8.20 | | | | | | | | | | % 50.74/8.20 | | | | | | | | | Case 2: % 50.74/8.20 | | | | | | | | | | % 50.74/8.20 | | | | | | | | | | (637) ? [v0: int] : ( ~ (v0 = 0) & l(all_8_1, all_8_5) = % 50.74/8.20 | | | | | | | | | | v0) % 50.74/8.20 | | | | | | | | | | % 50.74/8.20 | | | | | | | | | | DELTA: instantiating (637) with fresh symbol all_432_0 % 50.74/8.20 | | | | | | | | | | gives: % 50.74/8.20 | | | | | | | | | | (638) ~ (all_432_0 = 0) & l(all_8_1, all_8_5) = % 50.74/8.20 | | | | | | | | | | all_432_0 % 50.74/8.20 | | | | | | | | | | % 50.74/8.20 | | | | | | | | | | ALPHA: (638) implies: % 50.74/8.20 | | | | | | | | | | (639) ~ (all_432_0 = 0) % 50.74/8.20 | | | | | | | | | | (640) l(all_8_1, all_8_5) = all_432_0 % 50.74/8.20 | | | | | | | | | | % 50.74/8.20 | | | | | | | | | | GROUND_INST: instantiating (18) with 0, all_432_0, all_8_5, % 50.74/8.20 | | | | | | | | | | all_8_1, simplifying with (616), (640) gives: % 50.74/8.20 | | | | | | | | | | (641) all_432_0 = 0 % 50.74/8.20 | | | | | | | | | | % 50.74/8.20 | | | | | | | | | | REDUCE: (639), (641) imply: % 50.74/8.20 | | | | | | | | | | (642) $false % 50.74/8.20 | | | | | | | | | | % 50.74/8.20 | | | | | | | | | | CLOSE: (642) is inconsistent. % 50.74/8.20 | | | | | | | | | | % 50.74/8.20 | | | | | | | | | End of split % 50.74/8.20 | | | | | | | | | % 50.74/8.20 | | | | | | | | End of split % 50.74/8.20 | | | | | | | | % 50.74/8.20 | | | | | | | End of split % 50.74/8.20 | | | | | | | % 50.74/8.20 | | | | | | Case 2: % 50.74/8.20 | | | | | | | % 50.74/8.20 | | | | | | | (643) all_31_0 = all_8_6 & all_8_3 = all_8_5 % 50.74/8.20 | | | | | | | % 50.74/8.20 | | | | | | | ALPHA: (643) implies: % 50.74/8.20 | | | | | | | (644) all_8_3 = all_8_5 % 50.74/8.20 | | | | | | | (645) all_31_0 = all_8_6 % 50.74/8.20 | | | | | | | % 50.74/8.20 | | | | | | | COMBINE_EQS: (110), (645) imply: % 50.74/8.20 | | | | | | | (646) all_8_1 = all_8_6 % 50.74/8.20 | | | | | | | % 50.74/8.20 | | | | | | | SIMP: (646) implies: % 50.74/8.20 | | | | | | | (647) all_8_1 = all_8_6 % 50.74/8.20 | | | | | | | % 50.74/8.20 | | | | | | | REDUCE: (618), (647) imply: % 50.74/8.20 | | | | | | | (648) r(all_8_6, all_8_6) = 0 % 50.74/8.20 | | | | | | | % 50.74/8.20 | | | | | | | REDUCE: (614), (644) imply: % 50.74/8.20 | | | | | | | (649) l(all_8_6, all_8_5) = 0 % 50.74/8.20 | | | | | | | % 50.74/8.20 | | | | | | | REF_CLOSE: (16), (18), (21), (22), (29), (609), (648), (649) are % 50.74/8.20 | | | | | | | inconsistent by sub-proof #5. % 50.74/8.20 | | | | | | | % 50.74/8.20 | | | | | | End of split % 50.74/8.20 | | | | | | % 50.74/8.20 | | | | | Case 2: % 50.74/8.20 | | | | | | % 50.74/8.20 | | | | | | (650) all_21_1 = 0 % 50.74/8.21 | | | | | | (651) all_21_0 = all_8_6 & all_8_3 = all_8_5 % 50.74/8.21 | | | | | | % 50.74/8.21 | | | | | | ALPHA: (651) implies: % 50.74/8.21 | | | | | | (652) all_8_3 = all_8_5 % 50.74/8.21 | | | | | | (653) all_21_0 = all_8_6 % 50.74/8.21 | | | | | | % 50.74/8.21 | | | | | | COMBINE_EQS: (154), (653) imply: % 50.74/8.21 | | | | | | (654) all_8_1 = all_8_6 % 50.74/8.21 | | | | | | % 50.74/8.21 | | | | | | SIMP: (654) implies: % 50.74/8.21 | | | | | | (655) all_8_1 = all_8_6 % 50.74/8.21 | | | | | | % 50.74/8.21 | | | | | | REDUCE: (618), (655) imply: % 50.74/8.21 | | | | | | (656) r(all_8_6, all_8_6) = 0 % 50.74/8.21 | | | | | | % 50.74/8.21 | | | | | | REDUCE: (63), (650) imply: % 50.74/8.21 | | | | | | (657) l(all_8_6, all_8_5) = 0 % 50.74/8.21 | | | | | | % 50.74/8.21 | | | | | | REF_CLOSE: (16), (18), (21), (22), (29), (609), (656), (657) are % 50.74/8.21 | | | | | | inconsistent by sub-proof #5. % 50.74/8.21 | | | | | | % 50.74/8.21 | | | | | End of split % 50.74/8.21 | | | | | % 50.74/8.21 | | | | Case 2: % 50.74/8.21 | | | | | % 50.74/8.21 | | | | | (658) ~ (all_86_1 = 0) % 50.74/8.21 | | | | | % 50.74/8.21 | | | | | BETA: splitting (531) gives: % 50.74/8.21 | | | | | % 50.74/8.21 | | | | | Case 1: % 50.74/8.21 | | | | | | % 50.74/8.21 | | | | | | (659) ~ (all_203_1 = all_8_6) % 50.74/8.21 | | | | | | % 50.74/8.21 | | | | | | REDUCE: (611), (659) imply: % 50.74/8.21 | | | | | | (660) $false % 50.74/8.21 | | | | | | % 50.74/8.21 | | | | | | CLOSE: (660) is inconsistent. % 50.74/8.21 | | | | | | % 50.74/8.21 | | | | | Case 2: % 50.74/8.21 | | | | | | % 50.74/8.21 | | | | | | (661) all_203_0 = 0 % 50.74/8.21 | | | | | | % 50.74/8.21 | | | | | | COMBINE_EQS: (569), (661) imply: % 50.74/8.21 | | | | | | (662) all_86_1 = 0 % 50.74/8.21 | | | | | | % 50.74/8.21 | | | | | | REDUCE: (658), (662) imply: % 50.74/8.21 | | | | | | (663) $false % 50.74/8.21 | | | | | | % 50.74/8.21 | | | | | | CLOSE: (663) is inconsistent. % 50.74/8.21 | | | | | | % 50.74/8.21 | | | | | End of split % 50.74/8.21 | | | | | % 50.74/8.21 | | | | End of split % 50.74/8.21 | | | | % 50.74/8.21 | | | Case 2: % 50.74/8.21 | | | | % 50.74/8.21 | | | | (664) ~ (all_49_1 = 0) % 50.74/8.21 | | | | % 50.74/8.21 | | | | BETA: splitting (535) gives: % 50.74/8.21 | | | | % 50.74/8.21 | | | | Case 1: % 50.74/8.21 | | | | | % 50.74/8.21 | | | | | (665) ~ (all_205_1 = all_8_5) % 50.74/8.21 | | | | | % 50.74/8.21 | | | | | REDUCE: (612), (665) imply: % 50.74/8.21 | | | | | (666) $false % 50.74/8.21 | | | | | % 50.74/8.21 | | | | | CLOSE: (666) is inconsistent. % 50.74/8.21 | | | | | % 50.74/8.21 | | | | Case 2: % 50.74/8.21 | | | | | % 50.74/8.21 | | | | | (667) all_205_0 = 0 % 50.74/8.21 | | | | | % 50.74/8.21 | | | | | COMBINE_EQS: (568), (667) imply: % 50.74/8.21 | | | | | (668) all_49_1 = 0 % 50.74/8.21 | | | | | % 50.74/8.21 | | | | | REDUCE: (664), (668) imply: % 50.74/8.21 | | | | | (669) $false % 50.74/8.21 | | | | | % 50.74/8.21 | | | | | CLOSE: (669) is inconsistent. % 50.74/8.21 | | | | | % 50.74/8.21 | | | | End of split % 50.74/8.21 | | | | % 50.74/8.21 | | | End of split % 50.74/8.21 | | | % 50.74/8.21 | | Case 2: % 50.74/8.21 | | | % 50.74/8.21 | | | (670) ~ (all_29_1 = 0) % 50.74/8.21 | | | % 50.74/8.21 | | | BETA: splitting (518) gives: % 50.74/8.21 | | | % 50.74/8.21 | | | Case 1: % 50.74/8.21 | | | | % 50.74/8.21 | | | | (671) ~ (all_193_1 = all_8_6) % 50.74/8.21 | | | | % 50.74/8.21 | | | | REDUCE: (610), (671) imply: % 50.74/8.21 | | | | (672) $false % 50.74/8.21 | | | | % 50.74/8.21 | | | | CLOSE: (672) is inconsistent. % 50.74/8.21 | | | | % 50.74/8.21 | | | Case 2: % 50.74/8.21 | | | | % 50.74/8.21 | | | | (673) all_193_0 = 0 % 50.74/8.21 | | | | % 50.74/8.21 | | | | COMBINE_EQS: (566), (673) imply: % 50.74/8.21 | | | | (674) all_29_1 = 0 % 50.74/8.21 | | | | % 50.74/8.21 | | | | SIMP: (674) implies: % 50.74/8.21 | | | | (675) all_29_1 = 0 % 50.74/8.21 | | | | % 50.74/8.21 | | | | REDUCE: (670), (675) imply: % 50.74/8.21 | | | | (676) $false % 50.74/8.21 | | | | % 50.74/8.21 | | | | CLOSE: (676) is inconsistent. % 50.74/8.21 | | | | % 50.74/8.21 | | | End of split % 50.74/8.21 | | | % 50.74/8.21 | | End of split % 50.74/8.21 | | % 50.74/8.21 | Case 2: % 50.74/8.21 | | % 50.74/8.21 | | (677) all_8_4 = 0 & ( ~ (all_8_0 = all_8_5) | ~ (all_8_2 = all_8_6)) % 50.74/8.21 | | % 50.74/8.21 | | ALPHA: (677) implies: % 50.74/8.21 | | (678) all_8_4 = 0 % 50.74/8.21 | | (679) ~ (all_8_0 = all_8_5) | ~ (all_8_2 = all_8_6) % 50.74/8.21 | | % 50.74/8.21 | | REDUCE: (29), (678) imply: % 50.74/8.21 | | (680) d(all_8_6, all_8_5) = 0 % 50.74/8.21 | | % 50.74/8.21 | | BETA: splitting (60) gives: % 50.74/8.21 | | % 50.74/8.21 | | Case 1: % 50.74/8.21 | | | % 50.74/8.21 | | | (681) ~ (all_19_1 = 0) % 50.74/8.21 | | | % 50.74/8.21 | | | BETA: splitting (180) gives: % 50.74/8.21 | | | % 50.74/8.21 | | | Case 1: % 50.74/8.21 | | | | % 50.74/8.21 | | | | (682) all_19_1 = 0 % 50.74/8.21 | | | | % 50.74/8.21 | | | | REDUCE: (681), (682) imply: % 50.74/8.21 | | | | (683) $false % 50.74/8.21 | | | | % 50.74/8.21 | | | | CLOSE: (683) is inconsistent. % 50.74/8.21 | | | | % 50.74/8.21 | | | Case 2: % 50.74/8.21 | | | | % 50.74/8.21 | | | | (684) ? [v0: $i] : ? [v1: $i] : (product(all_8_1, all_8_5) = v1 & % 50.74/8.21 | | | | product(all_8_5, all_8_1) = v0 & $i(v1) & $i(v0) & ( ~ (v1 = % 50.74/8.21 | | | | all_8_1) | ~ (v0 = all_8_5))) % 50.74/8.21 | | | | % 50.74/8.21 | | | | DELTA: instantiating (684) with fresh symbols all_247_0, all_247_1 % 50.74/8.21 | | | | gives: % 50.74/8.21 | | | | (685) product(all_8_1, all_8_5) = all_247_0 & product(all_8_5, % 50.74/8.21 | | | | all_8_1) = all_247_1 & $i(all_247_0) & $i(all_247_1) & ( ~ % 50.74/8.21 | | | | (all_247_0 = all_8_1) | ~ (all_247_1 = all_8_5)) % 50.74/8.21 | | | | % 50.74/8.21 | | | | ALPHA: (685) implies: % 50.74/8.21 | | | | (686) $i(all_247_1) % 50.74/8.21 | | | | (687) product(all_8_5, all_8_1) = all_247_1 % 50.74/8.21 | | | | (688) product(all_8_1, all_8_5) = all_247_0 % 50.74/8.21 | | | | % 50.74/8.21 | | | | BETA: splitting (541) gives: % 50.74/8.21 | | | | % 50.74/8.21 | | | | Case 1: % 50.74/8.21 | | | | | % 50.74/8.21 | | | | | (689) ~ (all_209_1 = all_8_5) % 50.74/8.21 | | | | | % 50.74/8.21 | | | | | REDUCE: (597), (689) imply: % 50.74/8.21 | | | | | (690) ~ (all_8_0 = all_8_5) % 50.74/8.21 | | | | | % 50.74/8.21 | | | | | BETA: splitting (331) gives: % 50.74/8.21 | | | | | % 50.74/8.21 | | | | | Case 1: % 50.74/8.21 | | | | | | % 50.74/8.21 | | | | | | (691) ~ (all_124_1 = 0) % 50.74/8.21 | | | | | | % 50.74/8.21 | | | | | | REDUCE: (403), (691) imply: % 50.74/8.21 | | | | | | (692) ~ (all_70_1 = 0) % 50.74/8.21 | | | | | | % 50.74/8.21 | | | | | | BETA: splitting (228) gives: % 50.74/8.21 | | | | | | % 50.74/8.21 | | | | | | Case 1: % 50.74/8.21 | | | | | | | % 50.74/8.21 | | | | | | | (693) ~ (all_88_1 = 0) % 50.74/8.21 | | | | | | | % 50.74/8.21 | | | | | | | GROUND_INST: instantiating (17) with all_8_0, all_247_1, all_8_1, % 50.74/8.21 | | | | | | | all_8_5, simplifying with (28), (687) gives: % 50.74/8.21 | | | | | | | (694) all_247_1 = all_8_0 % 50.74/8.21 | | | | | | | % 50.74/8.21 | | | | | | | GROUND_INST: instantiating (17) with all_8_1, all_247_0, all_8_5, % 50.74/8.21 | | | | | | | all_8_1, simplifying with (443), (688) gives: % 50.74/8.21 | | | | | | | (695) all_247_0 = all_8_1 % 50.74/8.21 | | | | | | | % 50.74/8.21 | | | | | | | BETA: splitting (64) gives: % 50.74/8.21 | | | | | | | % 50.74/8.21 | | | | | | | Case 1: % 50.74/8.21 | | | | | | | | % 50.74/8.21 | | | | | | | | (696) ~ (all_21_1 = 0) % 50.74/8.21 | | | | | | | | % 50.74/8.21 | | | | | | | | BETA: splitting (68) gives: % 50.74/8.21 | | | | | | | | % 50.74/8.21 | | | | | | | | Case 1: % 50.74/8.21 | | | | | | | | | % 50.74/8.21 | | | | | | | | | (697) ~ (all_23_1 = 0) % 50.74/8.21 | | | | | | | | | % 50.74/8.21 | | | | | | | | | BETA: splitting (78) gives: % 50.74/8.21 | | | | | | | | | % 50.74/8.21 | | | | | | | | | Case 1: % 50.74/8.21 | | | | | | | | | | % 50.74/8.21 | | | | | | | | | | (698) ~ (all_29_1 = 0) % 50.74/8.21 | | | | | | | | | | % 50.74/8.21 | | | | | | | | | | BETA: splitting (178) gives: % 50.74/8.21 | | | | | | | | | | % 50.74/8.21 | | | | | | | | | | Case 1: % 50.74/8.21 | | | | | | | | | | | % 50.74/8.21 | | | | | | | | | | | (699) all_29_1 = 0 % 50.74/8.21 | | | | | | | | | | | % 50.74/8.21 | | | | | | | | | | | REDUCE: (698), (699) imply: % 50.74/8.21 | | | | | | | | | | | (700) $false % 50.74/8.21 | | | | | | | | | | | % 50.74/8.21 | | | | | | | | | | | CLOSE: (700) is inconsistent. % 50.74/8.21 | | | | | | | | | | | % 50.74/8.21 | | | | | | | | | | Case 2: % 50.74/8.21 | | | | | | | | | | | % 50.74/8.21 | | | | | | | | | | | (701) ? [v0: $i] : ? [v1: $i] : (product(all_8_3, % 50.74/8.21 | | | | | | | | | | | all_8_6) = v1 & product(all_8_6, all_8_3) = v0 % 50.74/8.21 | | | | | | | | | | | & $i(v1) & $i(v0) & ( ~ (v1 = all_8_3) | ~ (v0 % 50.74/8.21 | | | | | | | | | | | = all_8_6))) % 50.74/8.21 | | | | | | | | | | | % 50.74/8.21 | | | | | | | | | | | DELTA: instantiating (701) with fresh symbols all_307_0, % 50.74/8.21 | | | | | | | | | | | all_307_1 gives: % 50.74/8.21 | | | | | | | | | | | (702) product(all_8_3, all_8_6) = all_307_0 & % 50.74/8.21 | | | | | | | | | | | product(all_8_6, all_8_3) = all_307_1 & % 50.74/8.21 | | | | | | | | | | | $i(all_307_0) & $i(all_307_1) & ( ~ (all_307_0 = % 50.74/8.21 | | | | | | | | | | | all_8_3) | ~ (all_307_1 = all_8_6)) % 50.74/8.21 | | | | | | | | | | | % 50.74/8.21 | | | | | | | | | | | ALPHA: (702) implies: % 50.74/8.21 | | | | | | | | | | | (703) $i(all_307_1) % 50.74/8.21 | | | | | | | | | | | (704) product(all_8_6, all_8_3) = all_307_1 % 50.74/8.21 | | | | | | | | | | | (705) product(all_8_3, all_8_6) = all_307_0 % 50.74/8.21 | | | | | | | | | | | % 50.74/8.21 | | | | | | | | | | | BETA: splitting (518) gives: % 50.74/8.21 | | | | | | | | | | | % 50.74/8.21 | | | | | | | | | | | Case 1: % 50.74/8.21 | | | | | | | | | | | | % 50.74/8.21 | | | | | | | | | | | | (706) ~ (all_193_1 = all_8_6) % 50.74/8.21 | | | | | | | | | | | | % 50.74/8.21 | | | | | | | | | | | | REDUCE: (595), (706) imply: % 50.74/8.21 | | | | | | | | | | | | (707) ~ (all_8_2 = all_8_6) % 50.74/8.21 | | | | | | | | | | | | % 50.74/8.21 | | | | | | | | | | | | GROUND_INST: instantiating (17) with all_8_2, all_307_1, % 50.74/8.21 | | | | | | | | | | | | all_8_3, all_8_6, simplifying with (26), (704) % 50.74/8.21 | | | | | | | | | | | | gives: % 50.74/8.21 | | | | | | | | | | | | (708) all_307_1 = all_8_2 % 50.74/8.21 | | | | | | | | | | | | % 50.74/8.21 | | | | | | | | | | | | GROUND_INST: instantiating (17) with all_8_3, all_307_0, % 50.74/8.21 | | | | | | | | | | | | all_8_6, all_8_3, simplifying with (444), (705) % 50.74/8.21 | | | | | | | | | | | | gives: % 50.74/8.21 | | | | | | | | | | | | (709) all_307_0 = all_8_3 % 50.74/8.21 | | | | | | | | | | | | % 50.74/8.21 | | | | | | | | | | | | BETA: splitting (82) gives: % 50.74/8.21 | | | | | | | | | | | | % 50.74/8.21 | | | | | | | | | | | | Case 1: % 50.74/8.21 | | | | | | | | | | | | | % 50.74/8.21 | | | | | | | | | | | | | (710) ~ (all_31_1 = 0) % 50.74/8.21 | | | | | | | | | | | | | % 50.74/8.21 | | | | | | | | | | | | | BETA: splitting (86) gives: % 50.74/8.21 | | | | | | | | | | | | | % 50.74/8.21 | | | | | | | | | | | | | Case 1: % 50.74/8.21 | | | | | | | | | | | | | | % 50.74/8.21 | | | | | | | | | | | | | | (711) ~ (all_33_1 = 0) % 50.74/8.21 | | | | | | | | | | | | | | % 50.74/8.21 | | | | | | | | | | | | | | BETA: splitting (182) gives: % 50.74/8.21 | | | | | | | | | | | | | | % 50.74/8.21 | | | | | | | | | | | | | | Case 1: % 50.74/8.21 | | | | | | | | | | | | | | | % 50.74/8.21 | | | | | | | | | | | | | | | (712) all_23_1 = 0 % 50.74/8.21 | | | | | | | | | | | | | | | % 50.74/8.21 | | | | | | | | | | | | | | | REDUCE: (697), (712) imply: % 50.74/8.21 | | | | | | | | | | | | | | | (713) $false % 50.74/8.21 | | | | | | | | | | | | | | | % 50.74/8.21 | | | | | | | | | | | | | | | CLOSE: (713) is inconsistent. % 50.74/8.21 | | | | | | | | | | | | | | | % 50.74/8.21 | | | | | | | | | | | | | | Case 2: % 50.74/8.21 | | | | | | | | | | | | | | | % 50.74/8.21 | | | | | | | | | | | | | | | (714) ? [v0: $i] : ? [v1: $i] : (product(all_8_5, % 50.74/8.21 | | | | | | | | | | | | | | | all_8_6) = v1 & product(all_8_6, all_8_5) = v0 % 50.74/8.21 | | | | | | | | | | | | | | | & $i(v1) & $i(v0) & ( ~ (v1 = all_8_6) | ~ (v0 % 50.74/8.21 | | | | | | | | | | | | | | | = all_8_5))) % 50.74/8.21 | | | | | | | | | | | | | | | % 50.74/8.21 | | | | | | | | | | | | | | | DELTA: instantiating (714) with fresh symbols all_363_0, % 50.74/8.21 | | | | | | | | | | | | | | | all_363_1 gives: % 50.74/8.21 | | | | | | | | | | | | | | | (715) product(all_8_5, all_8_6) = all_363_0 & % 50.74/8.21 | | | | | | | | | | | | | | | product(all_8_6, all_8_5) = all_363_1 & % 50.74/8.21 | | | | | | | | | | | | | | | $i(all_363_0) & $i(all_363_1) & ( ~ (all_363_0 = % 50.74/8.21 | | | | | | | | | | | | | | | all_8_6) | ~ (all_363_1 = all_8_5)) % 50.74/8.21 | | | | | | | | | | | | | | | % 50.74/8.21 | | | | | | | | | | | | | | | ALPHA: (715) implies: % 50.74/8.21 | | | | | | | | | | | | | | | (716) product(all_8_6, all_8_5) = all_363_1 % 50.74/8.21 | | | | | | | | | | | | | | | (717) product(all_8_5, all_8_6) = all_363_0 % 50.74/8.21 | | | | | | | | | | | | | | | % 50.74/8.21 | | | | | | | | | | | | | | | GROUND_INST: instantiating (17) with all_8_1, all_363_1, % 50.74/8.21 | | | | | | | | | | | | | | | all_8_5, all_8_6, simplifying with (25), (716) % 50.74/8.21 | | | | | | | | | | | | | | | gives: % 50.74/8.21 | | | | | | | | | | | | | | | (718) all_363_1 = all_8_1 % 50.74/8.21 | | | | | | | | | | | | | | | % 50.74/8.21 | | | | | | | | | | | | | | | GROUND_INST: instantiating (17) with all_8_3, all_363_0, % 50.74/8.21 | | | | | | | | | | | | | | | all_8_6, all_8_5, simplifying with (27), (717) % 50.74/8.21 | | | | | | | | | | | | | | | gives: % 50.74/8.22 | | | | | | | | | | | | | | | (719) all_363_0 = all_8_3 % 50.74/8.22 | | | | | | | | | | | | | | | % 50.74/8.22 | | | | | | | | | | | | | | | BETA: splitting (179) gives: % 50.74/8.22 | | | | | | | | | | | | | | | % 50.74/8.22 | | | | | | | | | | | | | | | Case 1: % 50.74/8.22 | | | | | | | | | | | | | | | | % 50.74/8.22 | | | | | | | | | | | | | | | | (720) all_31_1 = 0 % 50.74/8.22 | | | | | | | | | | | | | | | | % 50.74/8.22 | | | | | | | | | | | | | | | | REDUCE: (710), (720) imply: % 50.74/8.22 | | | | | | | | | | | | | | | | (721) $false % 50.74/8.22 | | | | | | | | | | | | | | | | % 50.74/8.22 | | | | | | | | | | | | | | | | CLOSE: (721) is inconsistent. % 50.74/8.22 | | | | | | | | | | | | | | | | % 50.74/8.22 | | | | | | | | | | | | | | | Case 2: % 50.74/8.22 | | | | | | | | | | | | | | | | % 50.74/8.22 | | | | | | | | | | | | | | | | (722) ? [v0: $i] : ? [v1: $i] : (product(all_8_5, % 50.74/8.22 | | | | | | | | | | | | | | | | all_8_6) = v0 & product(all_8_6, all_8_5) = v1 % 50.74/8.22 | | | | | | | | | | | | | | | | & $i(v1) & $i(v0) & ( ~ (v1 = all_8_6) | ~ (v0 % 50.74/8.22 | | | | | | | | | | | | | | | | = all_8_5))) % 50.74/8.22 | | | | | | | | | | | | | | | | % 50.74/8.22 | | | | | | | | | | | | | | | | DELTA: instantiating (722) with fresh symbols all_375_0, % 50.74/8.22 | | | | | | | | | | | | | | | | all_375_1 gives: % 50.74/8.22 | | | | | | | | | | | | | | | | (723) product(all_8_5, all_8_6) = all_375_1 & % 50.74/8.22 | | | | | | | | | | | | | | | | product(all_8_6, all_8_5) = all_375_0 & % 50.74/8.22 | | | | | | | | | | | | | | | | $i(all_375_0) & $i(all_375_1) & ( ~ (all_375_0 = % 50.74/8.22 | | | | | | | | | | | | | | | | all_8_6) | ~ (all_375_1 = all_8_5)) % 50.74/8.22 | | | | | | | | | | | | | | | | % 50.74/8.22 | | | | | | | | | | | | | | | | ALPHA: (723) implies: % 50.74/8.22 | | | | | | | | | | | | | | | | (724) product(all_8_6, all_8_5) = all_375_0 % 50.74/8.22 | | | | | | | | | | | | | | | | (725) product(all_8_5, all_8_6) = all_375_1 % 50.74/8.22 | | | | | | | | | | | | | | | | (726) ~ (all_375_0 = all_8_6) | ~ (all_375_1 = % 50.74/8.22 | | | | | | | | | | | | | | | | all_8_5) % 50.74/8.22 | | | | | | | | | | | | | | | | % 50.74/8.22 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (17) with all_8_1, all_375_0, % 50.74/8.22 | | | | | | | | | | | | | | | | all_8_5, all_8_6, simplifying with (25), (724) % 50.74/8.22 | | | | | | | | | | | | | | | | gives: % 50.74/8.22 | | | | | | | | | | | | | | | | (727) all_375_0 = all_8_1 % 50.74/8.22 | | | | | | | | | | | | | | | | % 50.74/8.22 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (17) with all_8_3, all_375_1, % 50.74/8.22 | | | | | | | | | | | | | | | | all_8_6, all_8_5, simplifying with (27), (725) % 50.74/8.22 | | | | | | | | | | | | | | | | gives: % 50.74/8.22 | | | | | | | | | | | | | | | | (728) all_375_1 = all_8_3 % 50.74/8.22 | | | | | | | | | | | | | | | | % 50.74/8.22 | | | | | | | | | | | | | | | | BETA: splitting (177) gives: % 50.74/8.22 | | | | | | | | | | | | | | | | % 50.74/8.22 | | | | | | | | | | | | | | | | Case 1: % 50.74/8.22 | | | | | | | | | | | | | | | | | % 50.74/8.22 | | | | | | | | | | | | | | | | | (729) all_21_1 = 0 % 50.74/8.22 | | | | | | | | | | | | | | | | | % 50.74/8.22 | | | | | | | | | | | | | | | | | REDUCE: (696), (729) imply: % 50.74/8.22 | | | | | | | | | | | | | | | | | (730) $false % 50.74/8.22 | | | | | | | | | | | | | | | | | % 50.74/8.22 | | | | | | | | | | | | | | | | | CLOSE: (730) is inconsistent. % 50.74/8.22 | | | | | | | | | | | | | | | | | % 50.74/8.22 | | | | | | | | | | | | | | | | Case 2: % 50.74/8.22 | | | | | | | | | | | | | | | | | % 50.74/8.22 | | | | | | | | | | | | | | | | | (731) ? [v0: $i] : ? [v1: $i] : (product(all_8_5, % 50.74/8.22 | | | | | | | | | | | | | | | | | all_8_6) = v1 & product(all_8_6, all_8_5) = v0 % 50.74/8.22 | | | | | | | | | | | | | | | | | & $i(v1) & $i(v0) & ( ~ (v1 = all_8_5) | ~ (v0 % 50.74/8.22 | | | | | | | | | | | | | | | | | = all_8_6))) % 50.74/8.22 | | | | | | | | | | | | | | | | | % 50.74/8.22 | | | | | | | | | | | | | | | | | DELTA: instantiating (731) with fresh symbols all_387_0, % 50.74/8.22 | | | | | | | | | | | | | | | | | all_387_1 gives: % 50.74/8.22 | | | | | | | | | | | | | | | | | (732) product(all_8_5, all_8_6) = all_387_0 & % 50.74/8.22 | | | | | | | | | | | | | | | | | product(all_8_6, all_8_5) = all_387_1 & % 50.74/8.22 | | | | | | | | | | | | | | | | | $i(all_387_0) & $i(all_387_1) & ( ~ (all_387_0 = % 50.74/8.22 | | | | | | | | | | | | | | | | | all_8_5) | ~ (all_387_1 = all_8_6)) % 50.74/8.22 | | | | | | | | | | | | | | | | | % 50.74/8.22 | | | | | | | | | | | | | | | | | ALPHA: (732) implies: % 50.74/8.22 | | | | | | | | | | | | | | | | | (733) product(all_8_6, all_8_5) = all_387_1 % 50.74/8.22 | | | | | | | | | | | | | | | | | (734) product(all_8_5, all_8_6) = all_387_0 % 50.74/8.22 | | | | | | | | | | | | | | | | | % 50.74/8.22 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (17) with all_8_1, all_387_1, % 50.74/8.22 | | | | | | | | | | | | | | | | | all_8_5, all_8_6, simplifying with (25), (733) % 50.74/8.22 | | | | | | | | | | | | | | | | | gives: % 50.74/8.22 | | | | | | | | | | | | | | | | | (735) all_387_1 = all_8_1 % 50.74/8.22 | | | | | | | | | | | | | | | | | % 50.74/8.22 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (17) with all_8_3, all_387_0, % 50.74/8.22 | | | | | | | | | | | | | | | | | all_8_6, all_8_5, simplifying with (27), (734) % 50.74/8.22 | | | | | | | | | | | | | | | | | gives: % 50.74/8.22 | | | | | | | | | | | | | | | | | (736) all_387_0 = all_8_3 % 50.74/8.22 | | | | | | | | | | | | | | | | | % 50.74/8.22 | | | | | | | | | | | | | | | | | BETA: splitting (184) gives: % 50.74/8.22 | | | | | | | | | | | | | | | | | % 50.74/8.22 | | | | | | | | | | | | | | | | | Case 1: % 50.74/8.22 | | | | | | | | | | | | | | | | | | % 50.74/8.22 | | | | | | | | | | | | | | | | | | (737) all_33_1 = 0 % 50.74/8.22 | | | | | | | | | | | | | | | | | | % 50.74/8.22 | | | | | | | | | | | | | | | | | | REDUCE: (711), (737) imply: % 50.74/8.22 | | | | | | | | | | | | | | | | | | (738) $false % 50.74/8.22 | | | | | | | | | | | | | | | | | | % 50.74/8.22 | | | | | | | | | | | | | | | | | | CLOSE: (738) is inconsistent. % 50.74/8.22 | | | | | | | | | | | | | | | | | | % 50.74/8.22 | | | | | | | | | | | | | | | | | Case 2: % 50.74/8.22 | | | | | | | | | | | | | | | | | | % 50.74/8.22 | | | | | | | | | | | | | | | | | | (739) ? [v0: $i] : ? [v1: $i] : (product(all_8_5, % 50.74/8.22 | | | | | | | | | | | | | | | | | | all_8_6) = v0 & product(all_8_6, all_8_5) = v1 % 50.74/8.22 | | | | | | | | | | | | | | | | | | & $i(v1) & $i(v0) & ( ~ (v1 = all_8_5) | ~ (v0 % 50.74/8.22 | | | | | | | | | | | | | | | | | | = all_8_6))) % 50.74/8.22 | | | | | | | | | | | | | | | | | | % 50.74/8.22 | | | | | | | | | | | | | | | | | | DELTA: instantiating (739) with fresh symbols all_399_0, % 50.74/8.22 | | | | | | | | | | | | | | | | | | all_399_1 gives: % 50.74/8.22 | | | | | | | | | | | | | | | | | | (740) product(all_8_5, all_8_6) = all_399_1 & % 50.74/8.22 | | | | | | | | | | | | | | | | | | product(all_8_6, all_8_5) = all_399_0 & % 50.74/8.22 | | | | | | | | | | | | | | | | | | $i(all_399_0) & $i(all_399_1) & ( ~ (all_399_0 = % 50.74/8.22 | | | | | | | | | | | | | | | | | | all_8_5) | ~ (all_399_1 = all_8_6)) % 50.74/8.22 | | | | | | | | | | | | | | | | | | % 50.74/8.22 | | | | | | | | | | | | | | | | | | ALPHA: (740) implies: % 50.74/8.22 | | | | | | | | | | | | | | | | | | (741) $i(all_399_1) % 50.74/8.22 | | | | | | | | | | | | | | | | | | (742) $i(all_399_0) % 50.74/8.22 | | | | | | | | | | | | | | | | | | (743) product(all_8_6, all_8_5) = all_399_0 % 50.74/8.22 | | | | | | | | | | | | | | | | | | (744) product(all_8_5, all_8_6) = all_399_1 % 50.74/8.22 | | | | | | | | | | | | | | | | | | % 50.74/8.22 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (17) with all_8_1, all_399_0, % 50.74/8.22 | | | | | | | | | | | | | | | | | | all_8_5, all_8_6, simplifying with (25), (743) % 50.74/8.22 | | | | | | | | | | | | | | | | | | gives: % 50.74/8.22 | | | | | | | | | | | | | | | | | | (745) all_399_0 = all_8_1 % 50.74/8.22 | | | | | | | | | | | | | | | | | | % 50.74/8.22 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (17) with all_8_3, all_399_1, % 50.74/8.22 | | | | | | | | | | | | | | | | | | all_8_6, all_8_5, simplifying with (27), (744) % 50.74/8.22 | | | | | | | | | | | | | | | | | | gives: % 50.74/8.22 | | | | | | | | | | | | | | | | | | (746) all_399_1 = all_8_3 % 50.74/8.22 | | | | | | | | | | | | | | | | | | % 50.74/8.22 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (10) with all_8_2, all_8_6, % 50.74/8.22 | | | | | | | | | | | | | | | | | | simplifying with (21), (603), (604) gives: % 50.74/8.22 | | | | | | | | | | | | | | | | | | (747) ? [v0: $i] : ? [v1: any] : (r(all_8_2, all_8_6) % 50.74/8.22 | | | | | | | | | | | | | | | | | | = v1 & product(all_8_2, all_8_6) = v0 & $i(v0) & % 50.74/8.22 | | | | | | | | | | | | | | | | | | ( ~ (v0 = all_8_6) | v1 = 0)) % 50.74/8.22 | | | | | | | | | | | | | | | | | | % 50.74/8.22 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (9) with all_8_6, all_8_2, % 50.74/8.22 | | | | | | | | | | | | | | | | | | simplifying with (21), (603), (604) gives: % 50.74/8.22 | | | | | | | | | | | | | | | | | | (748) ? [v0: $i] : ? [v1: any] : (r(all_8_6, all_8_2) % 50.74/8.22 | | | | | | | | | | | | | | | | | | = v1 & product(all_8_2, all_8_6) = v0 & $i(v0) & % 50.74/8.22 | | | | | | | | | | | | | | | | | | ( ~ (v0 = all_8_6) | v1 = 0)) % 50.74/8.22 | | | | | | | | | | | | | | | | | | % 50.74/8.22 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (13) with all_8_2, all_8_6, all_8_2, % 50.74/8.22 | | | | | | | | | | | | | | | | | | simplifying with (21), (603), (604) gives: % 51.09/8.22 | | | | | | | | | | | | | | | | | | (749) ? [v0: any] : ? [v1: $i] : (r(all_8_2, all_8_6) % 51.09/8.22 | | | | | | | | | | | | | | | | | | = v0 & product(all_8_2, all_8_6) = v1 & $i(v1) & % 51.09/8.22 | | | | | | | | | | | | | | | | | | ( ~ (v0 = 0) | v1 = all_8_6)) % 51.09/8.22 | | | | | | | | | | | | | | | | | | % 51.09/8.22 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (7) with all_8_2, all_8_6, all_8_2, % 51.09/8.22 | | | | | | | | | | | | | | | | | | simplifying with (21), (603), (604) gives: % 51.09/8.22 | | | | | | | | | | | | | | | | | | (750) ? [v0: any] : ? [v1: $i] : (l(all_8_2, all_8_6) % 51.09/8.22 | | | | | | | | | | | | | | | | | | = v0 & product(all_8_2, all_8_6) = v1 & $i(v1) & % 51.09/8.22 | | | | | | | | | | | | | | | | | | ( ~ (v0 = 0) | (v1 = all_8_6 & all_8_2 = % 51.09/8.22 | | | | | | | | | | | | | | | | | | all_8_6))) % 51.09/8.22 | | | | | | | | | | | | | | | | | | % 51.09/8.22 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (12) with all_8_6, all_8_2, all_8_2, % 51.09/8.22 | | | | | | | | | | | | | | | | | | simplifying with (21), (603), (604) gives: % 51.09/8.22 | | | | | | | | | | | | | | | | | | (751) ? [v0: any] : ? [v1: $i] : (r(all_8_6, all_8_2) % 51.09/8.22 | | | | | | | | | | | | | | | | | | = v0 & product(all_8_2, all_8_6) = v1 & $i(v1) & % 51.09/8.22 | | | | | | | | | | | | | | | | | | ( ~ (v0 = 0) | v1 = all_8_6)) % 51.09/8.22 | | | | | | | | | | | | | | | | | | % 51.09/8.22 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (6) with all_8_6, all_8_2, all_8_2, % 51.09/8.22 | | | | | | | | | | | | | | | | | | simplifying with (21), (603), (604) gives: % 51.09/8.22 | | | | | | | | | | | | | | | | | | (752) ? [v0: any] : ? [v1: $i] : (l(all_8_6, all_8_2) % 51.09/8.22 | | | | | | | | | | | | | | | | | | = v0 & product(all_8_2, all_8_6) = v1 & $i(v1) & % 51.09/8.22 | | | | | | | | | | | | | | | | | | ( ~ (v0 = 0) | (v1 = all_8_6 & all_8_2 = % 51.09/8.22 | | | | | | | | | | | | | | | | | | all_8_6))) % 51.09/8.22 | | | | | | | | | | | | | | | | | | % 51.09/8.22 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (10) with all_8_0, all_8_5, % 51.09/8.22 | | | | | | | | | | | | | | | | | | simplifying with (22), (602), (605) gives: % 51.09/8.22 | | | | | | | | | | | | | | | | | | (753) ? [v0: $i] : ? [v1: any] : (r(all_8_0, all_8_5) % 51.09/8.22 | | | | | | | | | | | | | | | | | | = v1 & product(all_8_0, all_8_5) = v0 & $i(v0) & % 51.09/8.22 | | | | | | | | | | | | | | | | | | ( ~ (v0 = all_8_5) | v1 = 0)) % 51.09/8.22 | | | | | | | | | | | | | | | | | | % 51.09/8.22 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (9) with all_8_5, all_8_0, % 51.09/8.22 | | | | | | | | | | | | | | | | | | simplifying with (22), (602), (605) gives: % 51.09/8.22 | | | | | | | | | | | | | | | | | | (754) ? [v0: $i] : ? [v1: any] : (r(all_8_5, all_8_0) % 51.09/8.22 | | | | | | | | | | | | | | | | | | = v1 & product(all_8_0, all_8_5) = v0 & $i(v0) & % 51.09/8.22 | | | | | | | | | | | | | | | | | | ( ~ (v0 = all_8_5) | v1 = 0)) % 51.09/8.22 | | | | | | | | | | | | | | | | | | % 51.09/8.22 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (13) with all_8_0, all_8_5, all_8_0, % 51.09/8.22 | | | | | | | | | | | | | | | | | | simplifying with (22), (602), (605) gives: % 51.09/8.22 | | | | | | | | | | | | | | | | | | (755) ? [v0: any] : ? [v1: $i] : (r(all_8_0, all_8_5) % 51.09/8.22 | | | | | | | | | | | | | | | | | | = v0 & product(all_8_0, all_8_5) = v1 & $i(v1) & % 51.09/8.22 | | | | | | | | | | | | | | | | | | ( ~ (v0 = 0) | v1 = all_8_5)) % 51.09/8.22 | | | | | | | | | | | | | | | | | | % 51.09/8.22 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (7) with all_8_0, all_8_5, all_8_0, % 51.09/8.22 | | | | | | | | | | | | | | | | | | simplifying with (22), (602), (605) gives: % 51.09/8.23 | | | | | | | | | | | | | | | | | | (756) ? [v0: any] : ? [v1: $i] : (l(all_8_0, all_8_5) % 51.09/8.23 | | | | | | | | | | | | | | | | | | = v0 & product(all_8_0, all_8_5) = v1 & $i(v1) & % 51.09/8.23 | | | | | | | | | | | | | | | | | | ( ~ (v0 = 0) | (v1 = all_8_5 & all_8_0 = % 51.09/8.23 | | | | | | | | | | | | | | | | | | all_8_5))) % 51.09/8.23 | | | | | | | | | | | | | | | | | | % 51.09/8.23 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (12) with all_8_5, all_8_0, all_8_0, % 51.09/8.23 | | | | | | | | | | | | | | | | | | simplifying with (22), (602), (605) gives: % 51.09/8.23 | | | | | | | | | | | | | | | | | | (757) ? [v0: any] : ? [v1: $i] : (r(all_8_5, all_8_0) % 51.09/8.23 | | | | | | | | | | | | | | | | | | = v0 & product(all_8_0, all_8_5) = v1 & $i(v1) & % 51.09/8.23 | | | | | | | | | | | | | | | | | | ( ~ (v0 = 0) | v1 = all_8_5)) % 51.09/8.23 | | | | | | | | | | | | | | | | | | % 51.09/8.23 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (6) with all_8_5, all_8_0, all_8_0, % 51.09/8.23 | | | | | | | | | | | | | | | | | | simplifying with (22), (602), (605) gives: % 51.09/8.23 | | | | | | | | | | | | | | | | | | (758) ? [v0: any] : ? [v1: $i] : (l(all_8_5, all_8_0) % 51.09/8.23 | | | | | | | | | | | | | | | | | | = v0 & product(all_8_0, all_8_5) = v1 & $i(v1) & % 51.09/8.23 | | | | | | | | | | | | | | | | | | ( ~ (v0 = 0) | (v1 = all_8_5 & all_8_0 = % 51.09/8.23 | | | | | | | | | | | | | | | | | | all_8_5))) % 51.09/8.23 | | | | | | | | | | | | | | | | | | % 51.09/8.23 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (13) with all_8_1, all_8_3, all_8_0, % 51.09/8.23 | | | | | | | | | | | | | | | | | | simplifying with (23), (24), (601) gives: % 51.09/8.23 | | | | | | | | | | | | | | | | | | (759) ? [v0: any] : ? [v1: $i] : (r(all_8_1, all_8_3) % 51.09/8.23 | | | | | | | | | | | | | | | | | | = v0 & product(all_8_1, all_8_3) = v1 & $i(v1) & % 51.09/8.23 | | | | | | | | | | | | | | | | | | ( ~ (v0 = 0) | (v1 = all_8_3 & all_8_0 = % 51.09/8.23 | | | | | | | | | | | | | | | | | | all_8_1))) % 51.09/8.23 | | | | | | | | | | | | | | | | | | % 51.09/8.23 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (7) with all_8_1, all_8_3, all_8_0, % 51.09/8.23 | | | | | | | | | | | | | | | | | | simplifying with (23), (24), (601) gives: % 51.09/8.23 | | | | | | | | | | | | | | | | | | (760) ? [v0: any] : ? [v1: $i] : (l(all_8_1, all_8_3) % 51.09/8.23 | | | | | | | | | | | | | | | | | | = v0 & product(all_8_1, all_8_3) = v1 & $i(v1) & % 51.09/8.23 | | | | | | | | | | | | | | | | | | ( ~ (v0 = 0) | (v1 = all_8_1 & all_8_0 = % 51.09/8.23 | | | | | | | | | | | | | | | | | | all_8_3))) % 51.09/8.23 | | | | | | | | | | | | | | | | | | % 51.09/8.23 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (12) with all_8_3, all_8_1, all_8_0, % 51.09/8.23 | | | | | | | | | | | | | | | | | | simplifying with (23), (24), (601) gives: % 51.09/8.23 | | | | | | | | | | | | | | | | | | (761) ? [v0: any] : ? [v1: $i] : (r(all_8_3, all_8_1) % 51.09/8.23 | | | | | | | | | | | | | | | | | | = v0 & product(all_8_1, all_8_3) = v1 & $i(v1) & % 51.09/8.23 | | | | | | | | | | | | | | | | | | ( ~ (v0 = 0) | (v1 = all_8_3 & all_8_0 = % 51.09/8.23 | | | | | | | | | | | | | | | | | | all_8_1))) % 51.09/8.23 | | | | | | | | | | | | | | | | | | % 51.09/8.23 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (6) with all_8_3, all_8_1, all_8_0, % 51.09/8.23 | | | | | | | | | | | | | | | | | | simplifying with (23), (24), (601) gives: % 51.09/8.23 | | | | | | | | | | | | | | | | | | (762) ? [v0: any] : ? [v1: $i] : (l(all_8_3, all_8_1) % 51.09/8.23 | | | | | | | | | | | | | | | | | | = v0 & product(all_8_1, all_8_3) = v1 & $i(v1) & % 51.09/8.23 | | | | | | | | | | | | | | | | | | ( ~ (v0 = 0) | (v1 = all_8_1 & all_8_0 = % 51.09/8.23 | | | | | | | | | | | | | | | | | | all_8_3))) % 51.09/8.23 | | | | | | | | | | | | | | | | | | % 51.09/8.23 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_8_6, all_8_2, % 51.09/8.23 | | | | | | | | | | | | | | | | | | simplifying with (21), (598), (604) gives: % 51.09/8.23 | | | | | | | | | | | | | | | | | | (763) ? [v0: $i] : ? [v1: any] : (l(all_8_6, all_8_2) % 51.09/8.23 | | | | | | | | | | | | | | | | | | = v1 & product(all_8_6, all_8_2) = v0 & $i(v0) & % 51.09/8.23 | | | | | | | | | | | | | | | | | | ( ~ (v0 = all_8_6) | v1 = 0)) % 51.09/8.23 | | | | | | | | | | | | | | | | | | % 51.09/8.23 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with all_8_2, all_8_6, % 51.09/8.23 | | | | | | | | | | | | | | | | | | simplifying with (21), (598), (604) gives: % 51.09/8.23 | | | | | | | | | | | | | | | | | | (764) ? [v0: $i] : ? [v1: any] : (l(all_8_2, all_8_6) % 51.09/8.23 | | | | | | | | | | | | | | | | | | = v1 & product(all_8_6, all_8_2) = v0 & $i(v0) & % 51.09/8.23 | | | | | | | | | | | | | | | | | | ( ~ (v0 = all_8_6) | v1 = 0)) % 51.09/8.23 | | | | | | | | | | | | | | | | | | % 51.09/8.23 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (13) with all_8_6, all_8_2, all_8_2, % 51.09/8.23 | | | | | | | | | | | | | | | | | | simplifying with (21), (598), (604) gives: % 51.09/8.23 | | | | | | | | | | | | | | | | | | (765) ? [v0: any] : ? [v1: $i] : (r(all_8_6, all_8_2) % 51.09/8.23 | | | | | | | | | | | | | | | | | | = v0 & product(all_8_6, all_8_2) = v1 & $i(v1) & % 51.09/8.23 | | | | | | | | | | | | | | | | | | ( ~ (v0 = 0) | (v1 = all_8_6 & all_8_2 = % 51.09/8.23 | | | | | | | | | | | | | | | | | | all_8_6))) % 51.09/8.23 | | | | | | | | | | | | | | | | | | % 51.09/8.23 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (7) with all_8_6, all_8_2, all_8_2, % 51.09/8.23 | | | | | | | | | | | | | | | | | | simplifying with (21), (598), (604) gives: % 51.09/8.23 | | | | | | | | | | | | | | | | | | (766) ? [v0: any] : ? [v1: $i] : (l(all_8_6, all_8_2) % 51.09/8.23 | | | | | | | | | | | | | | | | | | = v0 & product(all_8_6, all_8_2) = v1 & $i(v1) & % 51.09/8.23 | | | | | | | | | | | | | | | | | | ( ~ (v0 = 0) | v1 = all_8_6)) % 51.09/8.23 | | | | | | | | | | | | | | | | | | % 51.09/8.23 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (12) with all_8_2, all_8_6, all_8_2, % 51.09/8.23 | | | | | | | | | | | | | | | | | | simplifying with (21), (598), (604) gives: % 51.09/8.23 | | | | | | | | | | | | | | | | | | (767) ? [v0: any] : ? [v1: $i] : (r(all_8_2, all_8_6) % 51.09/8.23 | | | | | | | | | | | | | | | | | | = v0 & product(all_8_6, all_8_2) = v1 & $i(v1) & % 51.09/8.23 | | | | | | | | | | | | | | | | | | ( ~ (v0 = 0) | (v1 = all_8_6 & all_8_2 = % 51.09/8.23 | | | | | | | | | | | | | | | | | | all_8_6))) % 51.09/8.23 | | | | | | | | | | | | | | | | | | % 51.09/8.23 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (6) with all_8_2, all_8_6, all_8_2, % 51.09/8.23 | | | | | | | | | | | | | | | | | | simplifying with (21), (598), (604) gives: % 51.09/8.23 | | | | | | | | | | | | | | | | | | (768) ? [v0: any] : ? [v1: $i] : (l(all_8_2, all_8_6) % 51.09/8.23 | | | | | | | | | | | | | | | | | | = v0 & product(all_8_6, all_8_2) = v1 & $i(v1) & % 51.09/8.23 | | | | | | | | | | | | | | | | | | ( ~ (v0 = 0) | v1 = all_8_6)) % 51.09/8.23 | | | | | | | | | | | | | | | | | | % 51.09/8.23 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (13) with all_8_3, all_8_1, all_8_2, % 51.09/8.23 | | | | | | | | | | | | | | | | | | simplifying with (23), (24), (600) gives: % 51.09/8.23 | | | | | | | | | | | | | | | | | | (769) ? [v0: any] : ? [v1: $i] : (r(all_8_3, all_8_1) % 51.09/8.23 | | | | | | | | | | | | | | | | | | = v0 & product(all_8_3, all_8_1) = v1 & $i(v1) & % 51.09/8.23 | | | | | | | | | | | | | | | | | | ( ~ (v0 = 0) | (v1 = all_8_1 & all_8_2 = % 51.09/8.23 | | | | | | | | | | | | | | | | | | all_8_3))) % 51.09/8.23 | | | | | | | | | | | | | | | | | | % 51.09/8.23 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (7) with all_8_3, all_8_1, all_8_2, % 51.09/8.23 | | | | | | | | | | | | | | | | | | simplifying with (23), (24), (600) gives: % 51.09/8.23 | | | | | | | | | | | | | | | | | | (770) ? [v0: any] : ? [v1: $i] : (l(all_8_3, all_8_1) % 51.09/8.23 | | | | | | | | | | | | | | | | | | = v0 & product(all_8_3, all_8_1) = v1 & $i(v1) & % 51.09/8.23 | | | | | | | | | | | | | | | | | | ( ~ (v0 = 0) | (v1 = all_8_3 & all_8_1 = % 51.09/8.23 | | | | | | | | | | | | | | | | | | all_8_2))) % 51.09/8.23 | | | | | | | | | | | | | | | | | | % 51.09/8.23 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (12) with all_8_1, all_8_3, all_8_2, % 51.09/8.23 | | | | | | | | | | | | | | | | | | simplifying with (23), (24), (600) gives: % 51.09/8.23 | | | | | | | | | | | | | | | | | | (771) ? [v0: any] : ? [v1: $i] : (r(all_8_1, all_8_3) % 51.09/8.23 | | | | | | | | | | | | | | | | | | = v0 & product(all_8_3, all_8_1) = v1 & $i(v1) & % 51.09/8.23 | | | | | | | | | | | | | | | | | | ( ~ (v0 = 0) | (v1 = all_8_1 & all_8_2 = % 51.09/8.23 | | | | | | | | | | | | | | | | | | all_8_3))) % 51.09/8.23 | | | | | | | | | | | | | | | | | | % 51.09/8.23 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (6) with all_8_1, all_8_3, all_8_2, % 51.09/8.23 | | | | | | | | | | | | | | | | | | simplifying with (23), (24), (600) gives: % 51.09/8.23 | | | | | | | | | | | | | | | | | | (772) ? [v0: any] : ? [v1: $i] : (l(all_8_1, all_8_3) % 51.09/8.23 | | | | | | | | | | | | | | | | | | = v0 & product(all_8_3, all_8_1) = v1 & $i(v1) & % 51.09/8.23 | | | | | | | | | | | | | | | | | | ( ~ (v0 = 0) | (v1 = all_8_3 & all_8_1 = % 51.09/8.23 | | | | | | | | | | | | | | | | | | all_8_2))) % 51.09/8.23 | | | | | | | | | | | | | | | | | | % 51.09/8.23 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_8_5, all_8_0, % 51.09/8.23 | | | | | | | | | | | | | | | | | | simplifying with (22), (599), (605) gives: % 51.09/8.23 | | | | | | | | | | | | | | | | | | (773) ? [v0: $i] : ? [v1: any] : (l(all_8_5, all_8_0) % 51.09/8.23 | | | | | | | | | | | | | | | | | | = v1 & product(all_8_5, all_8_0) = v0 & $i(v0) & % 51.09/8.23 | | | | | | | | | | | | | | | | | | ( ~ (v0 = all_8_5) | v1 = 0)) % 51.09/8.23 | | | | | | | | | | | | | | | | | | % 51.09/8.23 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with all_8_0, all_8_5, % 51.09/8.23 | | | | | | | | | | | | | | | | | | simplifying with (22), (599), (605) gives: % 51.09/8.23 | | | | | | | | | | | | | | | | | | (774) ? [v0: $i] : ? [v1: any] : (l(all_8_0, all_8_5) % 51.09/8.23 | | | | | | | | | | | | | | | | | | = v1 & product(all_8_5, all_8_0) = v0 & $i(v0) & % 51.09/8.23 | | | | | | | | | | | | | | | | | | ( ~ (v0 = all_8_5) | v1 = 0)) % 51.09/8.23 | | | | | | | | | | | | | | | | | | % 51.09/8.23 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (13) with all_8_5, all_8_0, all_8_0, % 51.09/8.23 | | | | | | | | | | | | | | | | | | simplifying with (22), (599), (605) gives: % 51.09/8.23 | | | | | | | | | | | | | | | | | | (775) ? [v0: any] : ? [v1: $i] : (r(all_8_5, all_8_0) % 51.09/8.23 | | | | | | | | | | | | | | | | | | = v0 & product(all_8_5, all_8_0) = v1 & $i(v1) & % 51.09/8.23 | | | | | | | | | | | | | | | | | | ( ~ (v0 = 0) | (v1 = all_8_5 & all_8_0 = % 51.09/8.23 | | | | | | | | | | | | | | | | | | all_8_5))) % 51.09/8.23 | | | | | | | | | | | | | | | | | | % 51.09/8.23 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (7) with all_8_5, all_8_0, all_8_0, % 51.09/8.23 | | | | | | | | | | | | | | | | | | simplifying with (22), (599), (605) gives: % 51.09/8.23 | | | | | | | | | | | | | | | | | | (776) ? [v0: any] : ? [v1: $i] : (l(all_8_5, all_8_0) % 51.09/8.23 | | | | | | | | | | | | | | | | | | = v0 & product(all_8_5, all_8_0) = v1 & $i(v1) & % 51.09/8.23 | | | | | | | | | | | | | | | | | | ( ~ (v0 = 0) | v1 = all_8_5)) % 51.09/8.23 | | | | | | | | | | | | | | | | | | % 51.09/8.23 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (12) with all_8_0, all_8_5, all_8_0, % 51.09/8.23 | | | | | | | | | | | | | | | | | | simplifying with (22), (599), (605) gives: % 51.09/8.24 | | | | | | | | | | | | | | | | | | (777) ? [v0: any] : ? [v1: $i] : (r(all_8_0, all_8_5) % 51.09/8.24 | | | | | | | | | | | | | | | | | | = v0 & product(all_8_5, all_8_0) = v1 & $i(v1) & % 51.09/8.24 | | | | | | | | | | | | | | | | | | ( ~ (v0 = 0) | (v1 = all_8_5 & all_8_0 = % 51.09/8.24 | | | | | | | | | | | | | | | | | | all_8_5))) % 51.09/8.24 | | | | | | | | | | | | | | | | | | % 51.09/8.24 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (6) with all_8_0, all_8_5, all_8_0, % 51.09/8.24 | | | | | | | | | | | | | | | | | | simplifying with (22), (599), (605) gives: % 51.09/8.24 | | | | | | | | | | | | | | | | | | (778) ? [v0: any] : ? [v1: $i] : (l(all_8_0, all_8_5) % 51.09/8.24 | | | | | | | | | | | | | | | | | | = v0 & product(all_8_5, all_8_0) = v1 & $i(v1) & % 51.09/8.24 | | | | | | | | | | | | | | | | | | ( ~ (v0 = 0) | v1 = all_8_5)) % 51.09/8.24 | | | | | | | | | | | | | | | | | | % 51.09/8.24 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (15) with all_8_6, all_8_5, % 51.09/8.24 | | | | | | | | | | | | | | | | | | simplifying with (21), (22), (680) gives: % 51.09/8.24 | | | | | | | | | | | | | | | | | | (779) ? [v0: $i] : (r(all_8_6, v0) = 0 & l(v0, all_8_5) % 51.09/8.24 | | | | | | | | | | | | | | | | | | = 0 & $i(v0)) % 51.09/8.24 | | | | | | | | | | | | | | | | | | % 51.09/8.24 | | | | | | | | | | | | | | | | | | DELTA: instantiating (779) with fresh symbol all_410_0 % 51.09/8.24 | | | | | | | | | | | | | | | | | | gives: % 51.09/8.24 | | | | | | | | | | | | | | | | | | (780) r(all_8_6, all_410_0) = 0 & l(all_410_0, all_8_5) % 51.09/8.24 | | | | | | | | | | | | | | | | | | = 0 & $i(all_410_0) % 51.09/8.24 | | | | | | | | | | | | | | | | | | % 51.09/8.24 | | | | | | | | | | | | | | | | | | ALPHA: (780) implies: % 51.09/8.24 | | | | | | | | | | | | | | | | | | (781) $i(all_410_0) % 51.09/8.24 | | | | | | | | | | | | | | | | | | (782) l(all_410_0, all_8_5) = 0 % 51.09/8.24 | | | | | | | | | | | | | | | | | | (783) r(all_8_6, all_410_0) = 0 % 51.09/8.24 | | | | | | | | | | | | | | | | | | % 51.09/8.24 | | | | | | | | | | | | | | | | | | DELTA: instantiating (774) with fresh symbols all_412_0, % 51.09/8.24 | | | | | | | | | | | | | | | | | | all_412_1 gives: % 51.09/8.24 | | | | | | | | | | | | | | | | | | (784) l(all_8_0, all_8_5) = all_412_0 & product(all_8_5, % 51.09/8.24 | | | | | | | | | | | | | | | | | | all_8_0) = all_412_1 & $i(all_412_1) & ( ~ % 51.09/8.24 | | | | | | | | | | | | | | | | | | (all_412_1 = all_8_5) | all_412_0 = 0) % 51.09/8.24 | | | | | | | | | | | | | | | | | | % 51.09/8.24 | | | | | | | | | | | | | | | | | | ALPHA: (784) implies: % 51.09/8.24 | | | | | | | | | | | | | | | | | | (785) $i(all_412_1) % 51.09/8.24 | | | | | | | | | | | | | | | | | | (786) product(all_8_5, all_8_0) = all_412_1 % 51.09/8.24 | | | | | | | | | | | | | | | | | | % 51.09/8.24 | | | | | | | | | | | | | | | | | | DELTA: instantiating (773) with fresh symbols all_414_0, % 51.09/8.24 | | | | | | | | | | | | | | | | | | all_414_1 gives: % 51.09/8.24 | | | | | | | | | | | | | | | | | | (787) l(all_8_5, all_8_0) = all_414_0 & product(all_8_5, % 51.09/8.24 | | | | | | | | | | | | | | | | | | all_8_0) = all_414_1 & $i(all_414_1) & ( ~ % 51.09/8.24 | | | | | | | | | | | | | | | | | | (all_414_1 = all_8_5) | all_414_0 = 0) % 51.09/8.24 | | | | | | | | | | | | | | | | | | % 51.09/8.24 | | | | | | | | | | | | | | | | | | ALPHA: (787) implies: % 51.09/8.24 | | | | | | | | | | | | | | | | | | (788) product(all_8_5, all_8_0) = all_414_1 % 51.09/8.24 | | | | | | | | | | | | | | | | | | % 51.09/8.24 | | | | | | | | | | | | | | | | | | DELTA: instantiating (768) with fresh symbols all_416_0, % 51.09/8.24 | | | | | | | | | | | | | | | | | | all_416_1 gives: % 51.09/8.24 | | | | | | | | | | | | | | | | | | (789) l(all_8_2, all_8_6) = all_416_1 & product(all_8_6, % 51.09/8.24 | | | | | | | | | | | | | | | | | | all_8_2) = all_416_0 & $i(all_416_0) & ( ~ % 51.09/8.24 | | | | | | | | | | | | | | | | | | (all_416_1 = 0) | all_416_0 = all_8_6) % 51.09/8.24 | | | | | | | | | | | | | | | | | | % 51.09/8.24 | | | | | | | | | | | | | | | | | | ALPHA: (789) implies: % 51.09/8.24 | | | | | | | | | | | | | | | | | | (790) $i(all_416_0) % 51.09/8.24 | | | | | | | | | | | | | | | | | | (791) product(all_8_6, all_8_2) = all_416_0 % 51.09/8.24 | | | | | | | | | | | | | | | | | | % 51.09/8.24 | | | | | | | | | | | | | | | | | | DELTA: instantiating (766) with fresh symbols all_418_0, % 51.09/8.24 | | | | | | | | | | | | | | | | | | all_418_1 gives: % 51.09/8.24 | | | | | | | | | | | | | | | | | | (792) l(all_8_6, all_8_2) = all_418_1 & product(all_8_6, % 51.09/8.24 | | | | | | | | | | | | | | | | | | all_8_2) = all_418_0 & $i(all_418_0) & ( ~ % 51.09/8.24 | | | | | | | | | | | | | | | | | | (all_418_1 = 0) | all_418_0 = all_8_6) % 51.09/8.24 | | | | | | | | | | | | | | | | | | % 51.09/8.24 | | | | | | | | | | | | | | | | | | ALPHA: (792) implies: % 51.09/8.24 | | | | | | | | | | | | | | | | | | (793) product(all_8_6, all_8_2) = all_418_0 % 51.09/8.24 | | | | | | | | | | | | | | | | | | % 51.09/8.24 | | | | | | | | | | | | | | | | | | DELTA: instantiating (764) with fresh symbols all_420_0, % 51.09/8.24 | | | | | | | | | | | | | | | | | | all_420_1 gives: % 51.09/8.24 | | | | | | | | | | | | | | | | | | (794) l(all_8_2, all_8_6) = all_420_0 & product(all_8_6, % 51.09/8.24 | | | | | | | | | | | | | | | | | | all_8_2) = all_420_1 & $i(all_420_1) & ( ~ % 51.09/8.24 | | | | | | | | | | | | | | | | | | (all_420_1 = all_8_6) | all_420_0 = 0) % 51.09/8.24 | | | | | | | | | | | | | | | | | | % 51.09/8.24 | | | | | | | | | | | | | | | | | | ALPHA: (794) implies: % 51.09/8.24 | | | | | | | | | | | | | | | | | | (795) product(all_8_6, all_8_2) = all_420_1 % 51.09/8.24 | | | | | | | | | | | | | | | | | | % 51.09/8.24 | | | | | | | | | | | | | | | | | | DELTA: instantiating (757) with fresh symbols all_422_0, % 51.09/8.24 | | | | | | | | | | | | | | | | | | all_422_1 gives: % 51.09/8.24 | | | | | | | | | | | | | | | | | | (796) r(all_8_5, all_8_0) = all_422_1 & product(all_8_0, % 51.09/8.24 | | | | | | | | | | | | | | | | | | all_8_5) = all_422_0 & $i(all_422_0) & ( ~ % 51.09/8.24 | | | | | | | | | | | | | | | | | | (all_422_1 = 0) | all_422_0 = all_8_5) % 51.09/8.24 | | | | | | | | | | | | | | | | | | % 51.09/8.24 | | | | | | | | | | | | | | | | | | ALPHA: (796) implies: % 51.09/8.24 | | | | | | | | | | | | | | | | | | (797) product(all_8_0, all_8_5) = all_422_0 % 51.09/8.24 | | | | | | | | | | | | | | | | | | % 51.09/8.24 | | | | | | | | | | | | | | | | | | DELTA: instantiating (755) with fresh symbols all_424_0, % 51.09/8.24 | | | | | | | | | | | | | | | | | | all_424_1 gives: % 51.09/8.24 | | | | | | | | | | | | | | | | | | (798) r(all_8_0, all_8_5) = all_424_1 & product(all_8_0, % 51.09/8.24 | | | | | | | | | | | | | | | | | | all_8_5) = all_424_0 & $i(all_424_0) & ( ~ % 51.09/8.24 | | | | | | | | | | | | | | | | | | (all_424_1 = 0) | all_424_0 = all_8_5) % 51.09/8.24 | | | | | | | | | | | | | | | | | | % 51.09/8.24 | | | | | | | | | | | | | | | | | | ALPHA: (798) implies: % 51.09/8.24 | | | | | | | | | | | | | | | | | | (799) product(all_8_0, all_8_5) = all_424_0 % 51.09/8.24 | | | | | | | | | | | | | | | | | | % 51.09/8.24 | | | | | | | | | | | | | | | | | | DELTA: instantiating (749) with fresh symbols all_426_0, % 51.09/8.24 | | | | | | | | | | | | | | | | | | all_426_1 gives: % 51.09/8.24 | | | | | | | | | | | | | | | | | | (800) r(all_8_2, all_8_6) = all_426_1 & product(all_8_2, % 51.09/8.24 | | | | | | | | | | | | | | | | | | all_8_6) = all_426_0 & $i(all_426_0) & ( ~ % 51.09/8.24 | | | | | | | | | | | | | | | | | | (all_426_1 = 0) | all_426_0 = all_8_6) % 51.09/8.24 | | | | | | | | | | | | | | | | | | % 51.09/8.24 | | | | | | | | | | | | | | | | | | ALPHA: (800) implies: % 51.09/8.24 | | | | | | | | | | | | | | | | | | (801) product(all_8_2, all_8_6) = all_426_0 % 51.09/8.24 | | | | | | | | | | | | | | | | | | % 51.09/8.24 | | | | | | | | | | | | | | | | | | DELTA: instantiating (748) with fresh symbols all_428_0, % 51.09/8.24 | | | | | | | | | | | | | | | | | | all_428_1 gives: % 51.09/8.24 | | | | | | | | | | | | | | | | | | (802) r(all_8_6, all_8_2) = all_428_0 & product(all_8_2, % 51.09/8.24 | | | | | | | | | | | | | | | | | | all_8_6) = all_428_1 & $i(all_428_1) & ( ~ % 51.09/8.24 | | | | | | | | | | | | | | | | | | (all_428_1 = all_8_6) | all_428_0 = 0) % 51.09/8.24 | | | | | | | | | | | | | | | | | | % 51.09/8.24 | | | | | | | | | | | | | | | | | | ALPHA: (802) implies: % 51.09/8.24 | | | | | | | | | | | | | | | | | | (803) product(all_8_2, all_8_6) = all_428_1 % 51.09/8.24 | | | | | | | | | | | | | | | | | | % 51.09/8.24 | | | | | | | | | | | | | | | | | | DELTA: instantiating (747) with fresh symbols all_430_0, % 51.09/8.24 | | | | | | | | | | | | | | | | | | all_430_1 gives: % 51.09/8.24 | | | | | | | | | | | | | | | | | | (804) r(all_8_2, all_8_6) = all_430_0 & product(all_8_2, % 51.09/8.24 | | | | | | | | | | | | | | | | | | all_8_6) = all_430_1 & $i(all_430_1) & ( ~ % 51.09/8.24 | | | | | | | | | | | | | | | | | | (all_430_1 = all_8_6) | all_430_0 = 0) % 51.09/8.24 | | | | | | | | | | | | | | | | | | % 51.09/8.24 | | | | | | | | | | | | | | | | | | ALPHA: (804) implies: % 51.09/8.24 | | | | | | | | | | | | | | | | | | (805) product(all_8_2, all_8_6) = all_430_1 % 51.09/8.24 | | | | | | | | | | | | | | | | | | % 51.09/8.24 | | | | | | | | | | | | | | | | | | DELTA: instantiating (754) with fresh symbols all_432_0, % 51.09/8.24 | | | | | | | | | | | | | | | | | | all_432_1 gives: % 51.09/8.24 | | | | | | | | | | | | | | | | | | (806) r(all_8_5, all_8_0) = all_432_0 & product(all_8_0, % 51.09/8.24 | | | | | | | | | | | | | | | | | | all_8_5) = all_432_1 & $i(all_432_1) & ( ~ % 51.09/8.24 | | | | | | | | | | | | | | | | | | (all_432_1 = all_8_5) | all_432_0 = 0) % 51.09/8.24 | | | | | | | | | | | | | | | | | | % 51.09/8.24 | | | | | | | | | | | | | | | | | | ALPHA: (806) implies: % 51.09/8.24 | | | | | | | | | | | | | | | | | | (807) product(all_8_0, all_8_5) = all_432_1 % 51.09/8.24 | | | | | | | | | | | | | | | | | | % 51.09/8.24 | | | | | | | | | | | | | | | | | | DELTA: instantiating (751) with fresh symbols all_434_0, % 51.09/8.24 | | | | | | | | | | | | | | | | | | all_434_1 gives: % 51.09/8.24 | | | | | | | | | | | | | | | | | | (808) r(all_8_6, all_8_2) = all_434_1 & product(all_8_2, % 51.09/8.24 | | | | | | | | | | | | | | | | | | all_8_6) = all_434_0 & $i(all_434_0) & ( ~ % 51.09/8.24 | | | | | | | | | | | | | | | | | | (all_434_1 = 0) | all_434_0 = all_8_6) % 51.09/8.24 | | | | | | | | | | | | | | | | | | % 51.09/8.24 | | | | | | | | | | | | | | | | | | ALPHA: (808) implies: % 51.09/8.24 | | | | | | | | | | | | | | | | | | (809) product(all_8_2, all_8_6) = all_434_0 % 51.09/8.24 | | | | | | | | | | | | | | | | | | % 51.09/8.24 | | | | | | | | | | | | | | | | | | DELTA: instantiating (753) with fresh symbols all_436_0, % 51.09/8.24 | | | | | | | | | | | | | | | | | | all_436_1 gives: % 51.09/8.24 | | | | | | | | | | | | | | | | | | (810) r(all_8_0, all_8_5) = all_436_0 & product(all_8_0, % 51.09/8.24 | | | | | | | | | | | | | | | | | | all_8_5) = all_436_1 & $i(all_436_1) & ( ~ % 51.09/8.24 | | | | | | | | | | | | | | | | | | (all_436_1 = all_8_5) | all_436_0 = 0) % 51.09/8.24 | | | | | | | | | | | | | | | | | | % 51.09/8.24 | | | | | | | | | | | | | | | | | | ALPHA: (810) implies: % 51.09/8.24 | | | | | | | | | | | | | | | | | | (811) product(all_8_0, all_8_5) = all_436_1 % 51.09/8.24 | | | | | | | | | | | | | | | | | | % 51.09/8.24 | | | | | | | | | | | | | | | | | | DELTA: instantiating (763) with fresh symbols all_438_0, % 51.09/8.24 | | | | | | | | | | | | | | | | | | all_438_1 gives: % 51.09/8.24 | | | | | | | | | | | | | | | | | | (812) l(all_8_6, all_8_2) = all_438_0 & product(all_8_6, % 51.09/8.24 | | | | | | | | | | | | | | | | | | all_8_2) = all_438_1 & $i(all_438_1) & ( ~ % 51.09/8.24 | | | | | | | | | | | | | | | | | | (all_438_1 = all_8_6) | all_438_0 = 0) % 51.09/8.24 | | | | | | | | | | | | | | | | | | % 51.09/8.24 | | | | | | | | | | | | | | | | | | ALPHA: (812) implies: % 51.09/8.24 | | | | | | | | | | | | | | | | | | (813) product(all_8_6, all_8_2) = all_438_1 % 51.09/8.24 | | | | | | | | | | | | | | | | | | % 51.09/8.24 | | | | | | | | | | | | | | | | | | DELTA: instantiating (778) with fresh symbols all_440_0, % 51.09/8.24 | | | | | | | | | | | | | | | | | | all_440_1 gives: % 51.09/8.24 | | | | | | | | | | | | | | | | | | (814) l(all_8_0, all_8_5) = all_440_1 & product(all_8_5, % 51.09/8.24 | | | | | | | | | | | | | | | | | | all_8_0) = all_440_0 & $i(all_440_0) & ( ~ % 51.09/8.24 | | | | | | | | | | | | | | | | | | (all_440_1 = 0) | all_440_0 = all_8_5) % 51.09/8.24 | | | | | | | | | | | | | | | | | | % 51.09/8.24 | | | | | | | | | | | | | | | | | | ALPHA: (814) implies: % 51.09/8.24 | | | | | | | | | | | | | | | | | | (815) product(all_8_5, all_8_0) = all_440_0 % 51.09/8.24 | | | | | | | | | | | | | | | | | | % 51.09/8.24 | | | | | | | | | | | | | | | | | | DELTA: instantiating (776) with fresh symbols all_442_0, % 51.09/8.24 | | | | | | | | | | | | | | | | | | all_442_1 gives: % 51.09/8.24 | | | | | | | | | | | | | | | | | | (816) l(all_8_5, all_8_0) = all_442_1 & product(all_8_5, % 51.09/8.24 | | | | | | | | | | | | | | | | | | all_8_0) = all_442_0 & $i(all_442_0) & ( ~ % 51.09/8.24 | | | | | | | | | | | | | | | | | | (all_442_1 = 0) | all_442_0 = all_8_5) % 51.09/8.24 | | | | | | | | | | | | | | | | | | % 51.09/8.24 | | | | | | | | | | | | | | | | | | ALPHA: (816) implies: % 51.09/8.24 | | | | | | | | | | | | | | | | | | (817) product(all_8_5, all_8_0) = all_442_0 % 51.09/8.24 | | | | | | | | | | | | | | | | | | % 51.09/8.24 | | | | | | | | | | | | | | | | | | DELTA: instantiating (775) with fresh symbols all_444_0, % 51.09/8.24 | | | | | | | | | | | | | | | | | | all_444_1 gives: % 51.09/8.24 | | | | | | | | | | | | | | | | | | (818) r(all_8_5, all_8_0) = all_444_1 & product(all_8_5, % 51.09/8.24 | | | | | | | | | | | | | | | | | | all_8_0) = all_444_0 & $i(all_444_0) & ( ~ % 51.09/8.24 | | | | | | | | | | | | | | | | | | (all_444_1 = 0) | (all_444_0 = all_8_5 & all_8_0 % 51.09/8.24 | | | | | | | | | | | | | | | | | | = all_8_5)) % 51.09/8.24 | | | | | | | | | | | | | | | | | | % 51.09/8.24 | | | | | | | | | | | | | | | | | | ALPHA: (818) implies: % 51.09/8.24 | | | | | | | | | | | | | | | | | | (819) product(all_8_5, all_8_0) = all_444_0 % 51.09/8.24 | | | | | | | | | | | | | | | | | | % 51.09/8.24 | | | | | | | | | | | | | | | | | | DELTA: instantiating (770) with fresh symbols all_446_0, % 51.09/8.24 | | | | | | | | | | | | | | | | | | all_446_1 gives: % 51.09/8.24 | | | | | | | | | | | | | | | | | | (820) l(all_8_3, all_8_1) = all_446_1 & product(all_8_3, % 51.09/8.24 | | | | | | | | | | | | | | | | | | all_8_1) = all_446_0 & $i(all_446_0) & ( ~ % 51.09/8.24 | | | | | | | | | | | | | | | | | | (all_446_1 = 0) | (all_446_0 = all_8_3 & all_8_1 % 51.09/8.24 | | | | | | | | | | | | | | | | | | = all_8_2)) % 51.09/8.24 | | | | | | | | | | | | | | | | | | % 51.09/8.24 | | | | | | | | | | | | | | | | | | ALPHA: (820) implies: % 51.09/8.24 | | | | | | | | | | | | | | | | | | (821) product(all_8_3, all_8_1) = all_446_0 % 51.09/8.24 | | | | | | | | | | | | | | | | | | (822) l(all_8_3, all_8_1) = all_446_1 % 51.09/8.24 | | | | | | | | | | | | | | | | | | (823) ~ (all_446_1 = 0) | (all_446_0 = all_8_3 & % 51.09/8.24 | | | | | | | | | | | | | | | | | | all_8_1 = all_8_2) % 51.09/8.24 | | | | | | | | | | | | | | | | | | % 51.09/8.24 | | | | | | | | | | | | | | | | | | DELTA: instantiating (769) with fresh symbols all_448_0, % 51.09/8.24 | | | | | | | | | | | | | | | | | | all_448_1 gives: % 51.09/8.24 | | | | | | | | | | | | | | | | | | (824) r(all_8_3, all_8_1) = all_448_1 & product(all_8_3, % 51.09/8.24 | | | | | | | | | | | | | | | | | | all_8_1) = all_448_0 & $i(all_448_0) & ( ~ % 51.09/8.24 | | | | | | | | | | | | | | | | | | (all_448_1 = 0) | (all_448_0 = all_8_1 & all_8_2 % 51.09/8.24 | | | | | | | | | | | | | | | | | | = all_8_3)) % 51.09/8.24 | | | | | | | | | | | | | | | | | | % 51.09/8.24 | | | | | | | | | | | | | | | | | | ALPHA: (824) implies: % 51.09/8.24 | | | | | | | | | | | | | | | | | | (825) product(all_8_3, all_8_1) = all_448_0 % 51.09/8.24 | | | | | | | | | | | | | | | | | | (826) r(all_8_3, all_8_1) = all_448_1 % 51.09/8.24 | | | | | | | | | | | | | | | | | | (827) ~ (all_448_1 = 0) | (all_448_0 = all_8_1 & % 51.09/8.24 | | | | | | | | | | | | | | | | | | all_8_2 = all_8_3) % 51.09/8.24 | | | | | | | | | | | | | | | | | | % 51.09/8.24 | | | | | | | | | | | | | | | | | | DELTA: instantiating (772) with fresh symbols all_450_0, % 51.09/8.24 | | | | | | | | | | | | | | | | | | all_450_1 gives: % 51.09/8.24 | | | | | | | | | | | | | | | | | | (828) l(all_8_1, all_8_3) = all_450_1 & product(all_8_3, % 51.09/8.24 | | | | | | | | | | | | | | | | | | all_8_1) = all_450_0 & $i(all_450_0) & ( ~ % 51.09/8.24 | | | | | | | | | | | | | | | | | | (all_450_1 = 0) | (all_450_0 = all_8_3 & all_8_1 % 51.09/8.24 | | | | | | | | | | | | | | | | | | = all_8_2)) % 51.09/8.24 | | | | | | | | | | | | | | | | | | % 51.09/8.24 | | | | | | | | | | | | | | | | | | ALPHA: (828) implies: % 51.09/8.24 | | | | | | | | | | | | | | | | | | (829) product(all_8_3, all_8_1) = all_450_0 % 51.09/8.24 | | | | | | | | | | | | | | | | | | (830) l(all_8_1, all_8_3) = all_450_1 % 51.09/8.24 | | | | | | | | | | | | | | | | | | (831) ~ (all_450_1 = 0) | (all_450_0 = all_8_3 & % 51.09/8.24 | | | | | | | | | | | | | | | | | | all_8_1 = all_8_2) % 51.09/8.24 | | | | | | | | | | | | | | | | | | % 51.09/8.24 | | | | | | | | | | | | | | | | | | DELTA: instantiating (756) with fresh symbols all_452_0, % 51.09/8.24 | | | | | | | | | | | | | | | | | | all_452_1 gives: % 51.09/8.24 | | | | | | | | | | | | | | | | | | (832) l(all_8_0, all_8_5) = all_452_1 & product(all_8_0, % 51.09/8.24 | | | | | | | | | | | | | | | | | | all_8_5) = all_452_0 & $i(all_452_0) & ( ~ % 51.09/8.24 | | | | | | | | | | | | | | | | | | (all_452_1 = 0) | (all_452_0 = all_8_5 & all_8_0 % 51.09/8.24 | | | | | | | | | | | | | | | | | | = all_8_5)) % 51.09/8.24 | | | | | | | | | | | | | | | | | | % 51.09/8.24 | | | | | | | | | | | | | | | | | | ALPHA: (832) implies: % 51.09/8.24 | | | | | | | | | | | | | | | | | | (833) product(all_8_0, all_8_5) = all_452_0 % 51.09/8.24 | | | | | | | | | | | | | | | | | | % 51.09/8.24 | | | | | | | | | | | | | | | | | | DELTA: instantiating (758) with fresh symbols all_454_0, % 51.09/8.24 | | | | | | | | | | | | | | | | | | all_454_1 gives: % 51.09/8.25 | | | | | | | | | | | | | | | | | | (834) l(all_8_5, all_8_0) = all_454_1 & product(all_8_0, % 51.09/8.25 | | | | | | | | | | | | | | | | | | all_8_5) = all_454_0 & $i(all_454_0) & ( ~ % 51.09/8.25 | | | | | | | | | | | | | | | | | | (all_454_1 = 0) | (all_454_0 = all_8_5 & all_8_0 % 51.09/8.25 | | | | | | | | | | | | | | | | | | = all_8_5)) % 51.09/8.25 | | | | | | | | | | | | | | | | | | % 51.09/8.25 | | | | | | | | | | | | | | | | | | ALPHA: (834) implies: % 51.09/8.25 | | | | | | | | | | | | | | | | | | (835) product(all_8_0, all_8_5) = all_454_0 % 51.09/8.25 | | | | | | | | | | | | | | | | | | % 51.09/8.25 | | | | | | | | | | | | | | | | | | DELTA: instantiating (767) with fresh symbols all_456_0, % 51.09/8.25 | | | | | | | | | | | | | | | | | | all_456_1 gives: % 51.09/8.25 | | | | | | | | | | | | | | | | | | (836) r(all_8_2, all_8_6) = all_456_1 & product(all_8_6, % 51.09/8.25 | | | | | | | | | | | | | | | | | | all_8_2) = all_456_0 & $i(all_456_0) & ( ~ % 51.09/8.25 | | | | | | | | | | | | | | | | | | (all_456_1 = 0) | (all_456_0 = all_8_6 & all_8_2 % 51.09/8.25 | | | | | | | | | | | | | | | | | | = all_8_6)) % 51.09/8.25 | | | | | | | | | | | | | | | | | | % 51.09/8.25 | | | | | | | | | | | | | | | | | | ALPHA: (836) implies: % 51.09/8.25 | | | | | | | | | | | | | | | | | | (837) product(all_8_6, all_8_2) = all_456_0 % 51.09/8.25 | | | | | | | | | | | | | | | | | | % 51.09/8.25 | | | | | | | | | | | | | | | | | | DELTA: instantiating (771) with fresh symbols all_458_0, % 51.09/8.25 | | | | | | | | | | | | | | | | | | all_458_1 gives: % 51.09/8.25 | | | | | | | | | | | | | | | | | | (838) r(all_8_1, all_8_3) = all_458_1 & product(all_8_3, % 51.09/8.25 | | | | | | | | | | | | | | | | | | all_8_1) = all_458_0 & $i(all_458_0) & ( ~ % 51.09/8.25 | | | | | | | | | | | | | | | | | | (all_458_1 = 0) | (all_458_0 = all_8_1 & all_8_2 % 51.09/8.25 | | | | | | | | | | | | | | | | | | = all_8_3)) % 51.09/8.25 | | | | | | | | | | | | | | | | | | % 51.09/8.25 | | | | | | | | | | | | | | | | | | ALPHA: (838) implies: % 51.09/8.25 | | | | | | | | | | | | | | | | | | (839) product(all_8_3, all_8_1) = all_458_0 % 51.09/8.25 | | | | | | | | | | | | | | | | | | (840) r(all_8_1, all_8_3) = all_458_1 % 51.09/8.25 | | | | | | | | | | | | | | | | | | (841) ~ (all_458_1 = 0) | (all_458_0 = all_8_1 & % 51.09/8.25 | | | | | | | | | | | | | | | | | | all_8_2 = all_8_3) % 51.09/8.25 | | | | | | | | | | | | | | | | | | % 51.09/8.25 | | | | | | | | | | | | | | | | | | DELTA: instantiating (752) with fresh symbols all_460_0, % 51.09/8.25 | | | | | | | | | | | | | | | | | | all_460_1 gives: % 51.09/8.25 | | | | | | | | | | | | | | | | | | (842) l(all_8_6, all_8_2) = all_460_1 & product(all_8_2, % 51.09/8.25 | | | | | | | | | | | | | | | | | | all_8_6) = all_460_0 & $i(all_460_0) & ( ~ % 51.09/8.25 | | | | | | | | | | | | | | | | | | (all_460_1 = 0) | (all_460_0 = all_8_6 & all_8_2 % 51.09/8.25 | | | | | | | | | | | | | | | | | | = all_8_6)) % 51.09/8.25 | | | | | | | | | | | | | | | | | | % 51.09/8.25 | | | | | | | | | | | | | | | | | | ALPHA: (842) implies: % 51.09/8.25 | | | | | | | | | | | | | | | | | | (843) product(all_8_2, all_8_6) = all_460_0 % 51.09/8.25 | | | | | | | | | | | | | | | | | | (844) ~ (all_460_1 = 0) | (all_460_0 = all_8_6 & % 51.09/8.25 | | | | | | | | | | | | | | | | | | all_8_2 = all_8_6) % 51.09/8.25 | | | | | | | | | | | | | | | | | | % 51.09/8.25 | | | | | | | | | | | | | | | | | | DELTA: instantiating (750) with fresh symbols all_462_0, % 51.09/8.25 | | | | | | | | | | | | | | | | | | all_462_1 gives: % 51.09/8.25 | | | | | | | | | | | | | | | | | | (845) l(all_8_2, all_8_6) = all_462_1 & product(all_8_2, % 51.09/8.25 | | | | | | | | | | | | | | | | | | all_8_6) = all_462_0 & $i(all_462_0) & ( ~ % 51.09/8.25 | | | | | | | | | | | | | | | | | | (all_462_1 = 0) | (all_462_0 = all_8_6 & all_8_2 % 51.09/8.25 | | | | | | | | | | | | | | | | | | = all_8_6)) % 51.09/8.25 | | | | | | | | | | | | | | | | | | % 51.09/8.25 | | | | | | | | | | | | | | | | | | ALPHA: (845) implies: % 51.09/8.25 | | | | | | | | | | | | | | | | | | (846) product(all_8_2, all_8_6) = all_462_0 % 51.09/8.25 | | | | | | | | | | | | | | | | | | % 51.09/8.25 | | | | | | | | | | | | | | | | | | DELTA: instantiating (765) with fresh symbols all_464_0, % 51.09/8.25 | | | | | | | | | | | | | | | | | | all_464_1 gives: % 51.09/8.25 | | | | | | | | | | | | | | | | | | (847) r(all_8_6, all_8_2) = all_464_1 & product(all_8_6, % 51.09/8.25 | | | | | | | | | | | | | | | | | | all_8_2) = all_464_0 & $i(all_464_0) & ( ~ % 51.09/8.25 | | | | | | | | | | | | | | | | | | (all_464_1 = 0) | (all_464_0 = all_8_6 & all_8_2 % 51.09/8.25 | | | | | | | | | | | | | | | | | | = all_8_6)) % 51.09/8.25 | | | | | | | | | | | | | | | | | | % 51.09/8.25 | | | | | | | | | | | | | | | | | | ALPHA: (847) implies: % 51.09/8.25 | | | | | | | | | | | | | | | | | | (848) product(all_8_6, all_8_2) = all_464_0 % 51.09/8.25 | | | | | | | | | | | | | | | | | | % 51.09/8.25 | | | | | | | | | | | | | | | | | | DELTA: instantiating (762) with fresh symbols all_466_0, % 51.09/8.25 | | | | | | | | | | | | | | | | | | all_466_1 gives: % 51.09/8.25 | | | | | | | | | | | | | | | | | | (849) l(all_8_3, all_8_1) = all_466_1 & product(all_8_1, % 51.09/8.25 | | | | | | | | | | | | | | | | | | all_8_3) = all_466_0 & $i(all_466_0) & ( ~ % 51.09/8.25 | | | | | | | | | | | | | | | | | | (all_466_1 = 0) | (all_466_0 = all_8_1 & all_8_0 % 51.09/8.25 | | | | | | | | | | | | | | | | | | = all_8_3)) % 51.09/8.25 | | | | | | | | | | | | | | | | | | % 51.09/8.25 | | | | | | | | | | | | | | | | | | ALPHA: (849) implies: % 51.09/8.25 | | | | | | | | | | | | | | | | | | (850) product(all_8_1, all_8_3) = all_466_0 % 51.09/8.25 | | | | | | | | | | | | | | | | | | (851) l(all_8_3, all_8_1) = all_466_1 % 51.09/8.25 | | | | | | | | | | | | | | | | | | % 51.09/8.25 | | | | | | | | | | | | | | | | | | DELTA: instantiating (760) with fresh symbols all_468_0, % 51.09/8.25 | | | | | | | | | | | | | | | | | | all_468_1 gives: % 51.09/8.25 | | | | | | | | | | | | | | | | | | (852) l(all_8_1, all_8_3) = all_468_1 & product(all_8_1, % 51.09/8.25 | | | | | | | | | | | | | | | | | | all_8_3) = all_468_0 & $i(all_468_0) & ( ~ % 51.09/8.25 | | | | | | | | | | | | | | | | | | (all_468_1 = 0) | (all_468_0 = all_8_1 & all_8_0 % 51.09/8.25 | | | | | | | | | | | | | | | | | | = all_8_3)) % 51.09/8.25 | | | | | | | | | | | | | | | | | | % 51.09/8.25 | | | | | | | | | | | | | | | | | | ALPHA: (852) implies: % 51.09/8.25 | | | | | | | | | | | | | | | | | | (853) product(all_8_1, all_8_3) = all_468_0 % 51.09/8.25 | | | | | | | | | | | | | | | | | | (854) l(all_8_1, all_8_3) = all_468_1 % 51.09/8.25 | | | | | | | | | | | | | | | | | | % 51.09/8.25 | | | | | | | | | | | | | | | | | | DELTA: instantiating (761) with fresh symbols all_470_0, % 51.09/8.25 | | | | | | | | | | | | | | | | | | all_470_1 gives: % 51.09/8.25 | | | | | | | | | | | | | | | | | | (855) r(all_8_3, all_8_1) = all_470_1 & product(all_8_1, % 51.09/8.25 | | | | | | | | | | | | | | | | | | all_8_3) = all_470_0 & $i(all_470_0) & ( ~ % 51.09/8.25 | | | | | | | | | | | | | | | | | | (all_470_1 = 0) | (all_470_0 = all_8_3 & all_8_0 % 51.09/8.25 | | | | | | | | | | | | | | | | | | = all_8_1)) % 51.09/8.25 | | | | | | | | | | | | | | | | | | % 51.09/8.25 | | | | | | | | | | | | | | | | | | ALPHA: (855) implies: % 51.09/8.25 | | | | | | | | | | | | | | | | | | (856) product(all_8_1, all_8_3) = all_470_0 % 51.09/8.25 | | | | | | | | | | | | | | | | | | (857) r(all_8_3, all_8_1) = all_470_1 % 51.09/8.25 | | | | | | | | | | | | | | | | | | % 51.09/8.25 | | | | | | | | | | | | | | | | | | DELTA: instantiating (759) with fresh symbols all_472_0, % 51.09/8.25 | | | | | | | | | | | | | | | | | | all_472_1 gives: % 51.09/8.25 | | | | | | | | | | | | | | | | | | (858) r(all_8_1, all_8_3) = all_472_1 & product(all_8_1, % 51.09/8.25 | | | | | | | | | | | | | | | | | | all_8_3) = all_472_0 & $i(all_472_0) & ( ~ % 51.09/8.25 | | | | | | | | | | | | | | | | | | (all_472_1 = 0) | (all_472_0 = all_8_3 & all_8_0 % 51.09/8.25 | | | | | | | | | | | | | | | | | | = all_8_1)) % 51.09/8.25 | | | | | | | | | | | | | | | | | | % 51.09/8.25 | | | | | | | | | | | | | | | | | | ALPHA: (858) implies: % 51.09/8.25 | | | | | | | | | | | | | | | | | | (859) product(all_8_1, all_8_3) = all_472_0 % 51.09/8.25 | | | | | | | | | | | | | | | | | | (860) r(all_8_1, all_8_3) = all_472_1 % 51.09/8.25 | | | | | | | | | | | | | | | | | | % 51.09/8.25 | | | | | | | | | | | | | | | | | | DELTA: instantiating (777) with fresh symbols all_474_0, % 51.09/8.25 | | | | | | | | | | | | | | | | | | all_474_1 gives: % 51.09/8.25 | | | | | | | | | | | | | | | | | | (861) r(all_8_0, all_8_5) = all_474_1 & product(all_8_5, % 51.09/8.25 | | | | | | | | | | | | | | | | | | all_8_0) = all_474_0 & $i(all_474_0) & ( ~ % 51.09/8.25 | | | | | | | | | | | | | | | | | | (all_474_1 = 0) | (all_474_0 = all_8_5 & all_8_0 % 51.09/8.25 | | | | | | | | | | | | | | | | | | = all_8_5)) % 51.09/8.25 | | | | | | | | | | | | | | | | | | % 51.09/8.25 | | | | | | | | | | | | | | | | | | ALPHA: (861) implies: % 51.09/8.25 | | | | | | | | | | | | | | | | | | (862) product(all_8_5, all_8_0) = all_474_0 % 51.09/8.25 | | | | | | | | | | | | | | | | | | % 51.09/8.25 | | | | | | | | | | | | | | | | | | BETA: splitting (844) gives: % 51.09/8.25 | | | | | | | | | | | | | | | | | | % 51.09/8.25 | | | | | | | | | | | | | | | | | | Case 1: % 51.09/8.25 | | | | | | | | | | | | | | | | | | | % 51.09/8.25 | | | | | | | | | | | | | | | | | | | % 51.09/8.25 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (17) with all_8_2, all_418_0, % 51.09/8.25 | | | | | | | | | | | | | | | | | | | all_8_2, all_8_6, simplifying with (603), (793) % 51.09/8.25 | | | | | | | | | | | | | | | | | | | gives: % 51.09/8.25 | | | | | | | | | | | | | | | | | | | (863) all_418_0 = all_8_2 % 51.09/8.25 | | | | | | | | | | | | | | | | | | | % 51.09/8.25 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (17) with all_438_1, all_456_0, % 51.09/8.25 | | | | | | | | | | | | | | | | | | | all_8_2, all_8_6, simplifying with (813), (837) % 51.09/8.25 | | | | | | | | | | | | | | | | | | | gives: % 51.09/8.25 | | | | | | | | | | | | | | | | | | | (864) all_456_0 = all_438_1 % 51.09/8.25 | | | | | | | | | | | | | | | | | | | % 51.09/8.25 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (17) with all_416_0, all_456_0, % 51.09/8.25 | | | | | | | | | | | | | | | | | | | all_8_2, all_8_6, simplifying with (791), (837) % 51.09/8.25 | | | | | | | | | | | | | | | | | | | gives: % 51.09/8.25 | | | | | | | | | | | | | | | | | | | (865) all_456_0 = all_416_0 % 51.09/8.25 | | | | | | | | | | | | | | | | | | | % 51.09/8.25 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (17) with all_438_1, all_464_0, % 51.09/8.25 | | | | | | | | | | | | | | | | | | | all_8_2, all_8_6, simplifying with (813), (848) % 51.09/8.25 | | | | | | | | | | | | | | | | | | | gives: % 51.09/8.25 | | | | | | | | | | | | | | | | | | | (866) all_464_0 = all_438_1 % 51.09/8.25 | | | | | | | | | | | | | | | | | | | % 51.09/8.25 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (17) with all_420_1, all_464_0, % 51.09/8.25 | | | | | | | | | | | | | | | | | | | all_8_2, all_8_6, simplifying with (795), (848) % 51.09/8.25 | | | | | | | | | | | | | | | | | | | gives: % 51.09/8.25 | | | | | | | | | | | | | | | | | | | (867) all_464_0 = all_420_1 % 51.09/8.25 | | | | | | | | | | | | | | | | | | | % 51.09/8.25 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (17) with all_418_0, all_464_0, % 51.09/8.25 | | | | | | | | | | | | | | | | | | | all_8_2, all_8_6, simplifying with (793), (848) % 51.09/8.25 | | | | | | | | | | | | | | | | | | | gives: % 51.09/8.25 | | | | | | | | | | | | | | | | | | | (868) all_464_0 = all_418_0 % 51.09/8.25 | | | | | | | | | | | | | | | | | | | % 51.09/8.25 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (17) with all_8_0, all_442_0, % 51.09/8.25 | | | | | | | | | | | | | | | | | | | all_8_0, all_8_5, simplifying with (602), (817) % 51.09/8.25 | | | | | | | | | | | | | | | | | | | gives: % 51.09/8.25 | | | | | | | | | | | | | | | | | | | (869) all_442_0 = all_8_0 % 51.09/8.25 | | | | | | | | | | | | | | | | | | | % 51.09/8.25 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (17) with all_440_0, all_442_0, % 51.09/8.25 | | | | | | | | | | | | | | | | | | | all_8_0, all_8_5, simplifying with (815), (817) % 51.09/8.25 | | | | | | | | | | | | | | | | | | | gives: % 51.09/8.25 | | | | | | | | | | | | | | | | | | | (870) all_442_0 = all_440_0 % 51.09/8.25 | | | | | | | | | | | | | | | | | | | % 51.09/8.25 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (17) with all_442_0, all_444_0, % 51.09/8.25 | | | | | | | | | | | | | | | | | | | all_8_0, all_8_5, simplifying with (817), (819) % 51.09/8.25 | | | | | | | | | | | | | | | | | | | gives: % 51.09/8.25 | | | | | | | | | | | | | | | | | | | (871) all_444_0 = all_442_0 % 51.09/8.25 | | | | | | | | | | | | | | | | | | | % 51.09/8.25 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (17) with all_414_1, all_444_0, % 51.09/8.25 | | | | | | | | | | | | | | | | | | | all_8_0, all_8_5, simplifying with (788), (819) % 51.09/8.25 | | | | | | | | | | | | | | | | | | | gives: % 51.09/8.25 | | | | | | | | | | | | | | | | | | | (872) all_444_0 = all_414_1 % 51.09/8.25 | | | | | | | | | | | | | | | | | | | % 51.09/8.25 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (17) with all_442_0, all_474_0, % 51.09/8.25 | | | | | | | | | | | | | | | | | | | all_8_0, all_8_5, simplifying with (817), (862) % 51.09/8.25 | | | | | | | | | | | | | | | | | | | gives: % 51.09/8.25 | | | | | | | | | | | | | | | | | | | (873) all_474_0 = all_442_0 % 51.09/8.25 | | | | | | | | | | | | | | | | | | | % 51.09/8.25 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (17) with all_412_1, all_474_0, % 51.09/8.25 | | | | | | | | | | | | | | | | | | | all_8_0, all_8_5, simplifying with (786), (862) % 51.09/8.25 | | | | | | | | | | | | | | | | | | | gives: % 51.09/8.25 | | | | | | | | | | | | | | | | | | | (874) all_474_0 = all_412_1 % 51.09/8.25 | | | | | | | | | | | | | | | | | | | % 51.09/8.25 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (17) with all_8_0, all_448_0, % 51.09/8.25 | | | | | | | | | | | | | | | | | | | all_8_1, all_8_3, simplifying with (601), (825) % 51.09/8.25 | | | | | | | | | | | | | | | | | | | gives: % 51.09/8.25 | | | | | | | | | | | | | | | | | | | (875) all_448_0 = all_8_0 % 51.09/8.25 | | | | | | | | | | | | | | | | | | | % 51.09/8.25 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (17) with all_448_0, all_450_0, % 51.09/8.25 | | | | | | | | | | | | | | | | | | | all_8_1, all_8_3, simplifying with (825), (829) % 51.09/8.25 | | | | | | | | | | | | | | | | | | | gives: % 51.09/8.25 | | | | | | | | | | | | | | | | | | | (876) all_450_0 = all_448_0 % 51.09/8.25 | | | | | | | | | | | | | | | | | | | % 51.09/8.25 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (17) with all_450_0, all_458_0, % 51.09/8.25 | | | | | | | | | | | | | | | | | | | all_8_1, all_8_3, simplifying with (829), (839) % 51.09/8.25 | | | | | | | | | | | | | | | | | | | gives: % 51.09/8.25 | | | | | | | | | | | | | | | | | | | (877) all_458_0 = all_450_0 % 51.09/8.25 | | | | | | | | | | | | | | | | | | | % 51.09/8.25 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (17) with all_446_0, all_458_0, % 51.09/8.25 | | | | | | | | | | | | | | | | | | | all_8_1, all_8_3, simplifying with (821), (839) % 51.09/8.25 | | | | | | | | | | | | | | | | | | | gives: % 51.09/8.25 | | | | | | | | | | | | | | | | | | | (878) all_458_0 = all_446_0 % 51.09/8.25 | | | | | | | | | | | | | | | | | | | % 51.09/8.25 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (17) with all_430_1, all_434_0, % 51.09/8.25 | | | | | | | | | | | | | | | | | | | all_8_6, all_8_2, simplifying with (805), (809) % 51.09/8.25 | | | | | | | | | | | | | | | | | | | gives: % 51.09/8.25 | | | | | | | | | | | | | | | | | | | (879) all_434_0 = all_430_1 % 51.09/8.25 | | | | | | | | | | | | | | | | | | | % 51.09/8.25 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (17) with all_428_1, all_434_0, % 51.09/8.25 | | | | | | | | | | | | | | | | | | | all_8_6, all_8_2, simplifying with (803), (809) % 51.09/8.25 | | | | | | | | | | | | | | | | | | | gives: % 51.09/8.25 | | | | | | | | | | | | | | | | | | | (880) all_434_0 = all_428_1 % 51.09/8.25 | | | | | | | | | | | | | | | | | | | % 51.09/8.25 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (17) with all_8_2, all_460_0, % 51.09/8.25 | | | | | | | | | | | | | | | | | | | all_8_6, all_8_2, simplifying with (598), (843) % 51.09/8.25 | | | | | | | | | | | | | | | | | | | gives: % 51.09/8.25 | | | | | | | | | | | | | | | | | | | (881) all_460_0 = all_8_2 % 51.09/8.25 | | | | | | | | | | | | | | | | | | | % 51.09/8.25 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (17) with all_434_0, all_460_0, % 51.09/8.25 | | | | | | | | | | | | | | | | | | | all_8_6, all_8_2, simplifying with (809), (843) % 51.09/8.25 | | | | | | | | | | | | | | | | | | | gives: % 51.09/8.25 | | | | | | | | | | | | | | | | | | | (882) all_460_0 = all_434_0 % 51.09/8.25 | | | | | | | | | | | | | | | | | | | % 51.09/8.25 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (17) with all_434_0, all_462_0, % 51.09/8.25 | | | | | | | | | | | | | | | | | | | all_8_6, all_8_2, simplifying with (809), (846) % 51.09/8.25 | | | | | | | | | | | | | | | | | | | gives: % 51.09/8.25 | | | | | | | | | | | | | | | | | | | (883) all_462_0 = all_434_0 % 51.09/8.25 | | | | | | | | | | | | | | | | | | | % 51.09/8.25 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (17) with all_426_0, all_462_0, % 51.09/8.25 | | | | | | | | | | | | | | | | | | | all_8_6, all_8_2, simplifying with (801), (846) % 51.09/8.25 | | | | | | | | | | | | | | | | | | | gives: % 51.09/8.25 | | | | | | | | | | | | | | | | | | | (884) all_462_0 = all_426_0 % 51.09/8.25 | | | | | | | | | | | | | | | | | | | % 51.09/8.25 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (17) with all_8_2, all_470_0, % 51.09/8.25 | | | | | | | | | | | | | | | | | | | all_8_3, all_8_1, simplifying with (600), (856) % 51.09/8.25 | | | | | | | | | | | | | | | | | | | gives: % 51.09/8.25 | | | | | | | | | | | | | | | | | | | (885) all_470_0 = all_8_2 % 51.09/8.25 | | | | | | | | | | | | | | | | | | | % 51.09/8.25 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (17) with all_470_0, all_472_0, % 51.09/8.25 | | | | | | | | | | | | | | | | | | | all_8_3, all_8_1, simplifying with (856), (859) % 51.09/8.25 | | | | | | | | | | | | | | | | | | | gives: % 51.09/8.25 | | | | | | | | | | | | | | | | | | | (886) all_472_0 = all_470_0 % 51.09/8.25 | | | | | | | | | | | | | | | | | | | % 51.09/8.25 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (17) with all_468_0, all_472_0, % 51.09/8.25 | | | | | | | | | | | | | | | | | | | all_8_3, all_8_1, simplifying with (853), (859) % 51.09/8.25 | | | | | | | | | | | | | | | | | | | gives: % 51.09/8.25 | | | | | | | | | | | | | | | | | | | (887) all_472_0 = all_468_0 % 51.09/8.25 | | | | | | | | | | | | | | | | | | | % 51.09/8.25 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (17) with all_466_0, all_472_0, % 51.09/8.25 | | | | | | | | | | | | | | | | | | | all_8_3, all_8_1, simplifying with (850), (859) % 51.09/8.25 | | | | | | | | | | | | | | | | | | | gives: % 51.09/8.25 | | | | | | | | | | | | | | | | | | | (888) all_472_0 = all_466_0 % 51.09/8.25 | | | | | | | | | | | | | | | | | | | % 51.09/8.25 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (17) with all_424_0, all_436_1, % 51.09/8.25 | | | | | | | | | | | | | | | | | | | all_8_5, all_8_0, simplifying with (799), (811) % 51.09/8.25 | | | | | | | | | | | | | | | | | | | gives: % 51.09/8.25 | | | | | | | | | | | | | | | | | | | (889) all_436_1 = all_424_0 % 51.09/8.25 | | | | | | | | | | | | | | | | | | | % 51.09/8.26 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (17) with all_422_0, all_436_1, % 51.09/8.26 | | | | | | | | | | | | | | | | | | | all_8_5, all_8_0, simplifying with (797), (811) % 51.09/8.26 | | | | | | | | | | | | | | | | | | | gives: % 51.09/8.26 | | | | | | | | | | | | | | | | | | | (890) all_436_1 = all_422_0 % 51.09/8.26 | | | | | | | | | | | | | | | | | | | % 51.09/8.26 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (17) with all_432_1, all_452_0, % 51.09/8.26 | | | | | | | | | | | | | | | | | | | all_8_5, all_8_0, simplifying with (807), (833) % 51.09/8.26 | | | | | | | | | | | | | | | | | | | gives: % 51.09/8.26 | | | | | | | | | | | | | | | | | | | (891) all_452_0 = all_432_1 % 51.09/8.26 | | | | | | | | | | | | | | | | | | | % 51.09/8.26 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (17) with all_424_0, all_452_0, % 51.09/8.26 | | | | | | | | | | | | | | | | | | | all_8_5, all_8_0, simplifying with (799), (833) % 51.09/8.26 | | | | | | | | | | | | | | | | | | | gives: % 51.09/8.26 | | | | | | | | | | | | | | | | | | | (892) all_452_0 = all_424_0 % 51.09/8.26 | | | | | | | | | | | | | | | | | | | % 51.09/8.26 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (17) with all_8_0, all_454_0, % 51.09/8.26 | | | | | | | | | | | | | | | | | | | all_8_5, all_8_0, simplifying with (599), (835) % 51.09/8.26 | | | | | | | | | | | | | | | | | | | gives: % 51.09/8.26 | | | | | | | | | | | | | | | | | | | (893) all_454_0 = all_8_0 % 51.09/8.26 | | | | | | | | | | | | | | | | | | | % 51.09/8.26 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (17) with all_452_0, all_454_0, % 51.09/8.26 | | | | | | | | | | | | | | | | | | | all_8_5, all_8_0, simplifying with (833), (835) % 51.09/8.26 | | | | | | | | | | | | | | | | | | | gives: % 51.09/8.26 | | | | | | | | | | | | | | | | | | | (894) all_454_0 = all_452_0 % 51.09/8.26 | | | | | | | | | | | | | | | | | | | % 51.09/8.26 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (18) with all_446_1, all_466_1, % 51.09/8.26 | | | | | | | | | | | | | | | | | | | all_8_1, all_8_3, simplifying with (822), (851) % 51.09/8.26 | | | | | | | | | | | | | | | | | | | gives: % 51.09/8.26 | | | | | | | | | | | | | | | | | | | (895) all_466_1 = all_446_1 % 51.09/8.26 | | | | | | | | | | | | | | | | | | | % 51.09/8.26 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (18) with all_450_1, all_468_1, % 51.09/8.26 | | | | | | | | | | | | | | | | | | | all_8_3, all_8_1, simplifying with (830), (854) % 51.09/8.26 | | | | | | | | | | | | | | | | | | | gives: % 51.09/8.26 | | | | | | | | | | | | | | | | | | | (896) all_468_1 = all_450_1 % 51.09/8.26 | | | | | | | | | | | | | | | | | | | % 51.09/8.26 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (19) with all_448_1, all_470_1, % 51.09/8.26 | | | | | | | | | | | | | | | | | | | all_8_1, all_8_3, simplifying with (826), (857) % 51.09/8.26 | | | | | | | | | | | | | | | | | | | gives: % 51.09/8.26 | | | | | | | | | | | | | | | | | | | (897) all_470_1 = all_448_1 % 51.09/8.26 | | | | | | | | | | | | | | | | | | | % 51.09/8.26 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (19) with all_458_1, all_472_1, % 51.09/8.26 | | | | | | | | | | | | | | | | | | | all_8_3, all_8_1, simplifying with (840), (860) % 51.09/8.26 | | | | | | | | | | | | | | | | | | | gives: % 51.09/8.26 | | | | | | | | | | | | | | | | | | | (898) all_472_1 = all_458_1 % 51.09/8.26 | | | | | | | | | | | | | | | | | | | % 51.09/8.26 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (873), (874) imply: % 51.09/8.26 | | | | | | | | | | | | | | | | | | | (899) all_442_0 = all_412_1 % 51.09/8.26 | | | | | | | | | | | | | | | | | | | % 51.09/8.26 | | | | | | | | | | | | | | | | | | | SIMP: (899) implies: % 51.09/8.26 | | | | | | | | | | | | | | | | | | | (900) all_442_0 = all_412_1 % 51.09/8.26 | | | | | | | | | | | | | | | | | | | % 51.09/8.26 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (886), (887) imply: % 51.09/8.26 | | | | | | | | | | | | | | | | | | | (901) all_470_0 = all_468_0 % 51.09/8.26 | | | | | | | | | | | | | | | | | | | % 51.09/8.26 | | | | | | | | | | | | | | | | | | | SIMP: (901) implies: % 51.09/8.26 | | | | | | | | | | | | | | | | | | | (902) all_470_0 = all_468_0 % 51.09/8.26 | | | | | | | | | | | | | | | | | | | % 51.09/8.26 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (887), (888) imply: % 51.09/8.26 | | | | | | | | | | | | | | | | | | | (903) all_468_0 = all_466_0 % 51.09/8.26 | | | | | | | | | | | | | | | | | | | % 51.09/8.26 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (885), (902) imply: % 51.09/8.26 | | | | | | | | | | | | | | | | | | | (904) all_468_0 = all_8_2 % 51.09/8.26 | | | | | | | | | | | | | | | | | | | % 51.09/8.26 | | | | | | | | | | | | | | | | | | | SIMP: (904) implies: % 51.09/8.26 | | | | | | | | | | | | | | | | | | | (905) all_468_0 = all_8_2 % 51.09/8.26 | | | | | | | | | | | | | | | | | | | % 51.09/8.26 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (903), (905) imply: % 51.09/8.26 | | | | | | | | | | | | | | | | | | | (906) all_466_0 = all_8_2 % 51.09/8.26 | | | | | | | | | | | | | | | | | | | % 51.09/8.26 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (867), (868) imply: % 51.09/8.26 | | | | | | | | | | | | | | | | | | | (907) all_420_1 = all_418_0 % 51.09/8.26 | | | | | | | | | | | | | | | | | | | % 51.09/8.26 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (866), (867) imply: % 51.09/8.26 | | | | | | | | | | | | | | | | | | | (908) all_438_1 = all_420_1 % 51.09/8.26 | | | | | | | | | | | | | | | | | | | % 51.09/8.26 | | | | | | | | | | | | | | | | | | | SIMP: (908) implies: % 51.09/8.26 | | | | | | | | | | | | | | | | | | | (909) all_438_1 = all_420_1 % 51.09/8.26 | | | | | | | | | | | | | | | | | | | % 51.09/8.26 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (883), (884) imply: % 51.09/8.26 | | | | | | | | | | | | | | | | | | | (910) all_434_0 = all_426_0 % 51.09/8.26 | | | | | | | | | | | | | | | | | | | % 51.09/8.26 | | | | | | | | | | | | | | | | | | | SIMP: (910) implies: % 51.09/8.26 | | | | | | | | | | | | | | | | | | | (911) all_434_0 = all_426_0 % 51.09/8.26 | | | | | | | | | | | | | | | | | | | % 51.09/8.26 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (881), (882) imply: % 51.09/8.26 | | | | | | | | | | | | | | | | | | | (912) all_434_0 = all_8_2 % 51.09/8.26 | | | | | | | | | | | | | | | | | | | % 51.09/8.26 | | | | | | | | | | | | | | | | | | | SIMP: (912) implies: % 51.09/8.26 | | | | | | | | | | | | | | | | | | | (913) all_434_0 = all_8_2 % 51.09/8.26 | | | | | | | | | | | | | | | | | | | % 51.09/8.26 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (877), (878) imply: % 51.09/8.26 | | | | | | | | | | | | | | | | | | | (914) all_450_0 = all_446_0 % 51.09/8.26 | | | | | | | | | | | | | | | | | | | % 51.09/8.26 | | | | | | | | | | | | | | | | | | | SIMP: (914) implies: % 51.09/8.26 | | | | | | | | | | | | | | | | | | | (915) all_450_0 = all_446_0 % 51.09/8.26 | | | | | | | | | | | | | | | | | | | % 51.09/8.26 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (864), (865) imply: % 51.09/8.26 | | | | | | | | | | | | | | | | | | | (916) all_438_1 = all_416_0 % 51.09/8.26 | | | | | | | | | | | | | | | | | | | % 51.09/8.26 | | | | | | | | | | | | | | | | | | | SIMP: (916) implies: % 51.09/8.26 | | | | | | | | | | | | | | | | | | | (917) all_438_1 = all_416_0 % 51.09/8.26 | | | | | | | | | | | | | | | | | | | % 51.09/8.26 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (893), (894) imply: % 51.09/8.26 | | | | | | | | | | | | | | | | | | | (918) all_452_0 = all_8_0 % 51.09/8.26 | | | | | | | | | | | | | | | | | | | % 51.09/8.26 | | | | | | | | | | | | | | | | | | | SIMP: (918) implies: % 51.09/8.26 | | | | | | | | | | | | | | | | | | | (919) all_452_0 = all_8_0 % 51.09/8.26 | | | | | | | | | | | | | | | | | | | % 51.09/8.26 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (891), (892) imply: % 51.09/8.26 | | | | | | | | | | | | | | | | | | | (920) all_432_1 = all_424_0 % 51.09/8.26 | | | | | | | | | | | | | | | | | | | % 51.09/8.26 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (891), (919) imply: % 51.09/8.26 | | | | | | | | | | | | | | | | | | | (921) all_432_1 = all_8_0 % 51.09/8.26 | | | | | | | | | | | | | | | | | | | % 51.09/8.26 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (876), (915) imply: % 51.09/8.26 | | | | | | | | | | | | | | | | | | | (922) all_448_0 = all_446_0 % 51.09/8.26 | | | | | | | | | | | | | | | | | | | % 51.09/8.26 | | | | | | | | | | | | | | | | | | | SIMP: (922) implies: % 51.09/8.26 | | | | | | | | | | | | | | | | | | | (923) all_448_0 = all_446_0 % 51.09/8.26 | | | | | | | | | | | | | | | | | | | % 51.09/8.26 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (875), (923) imply: % 51.09/8.26 | | | | | | | | | | | | | | | | | | | (924) all_446_0 = all_8_0 % 51.09/8.26 | | | | | | | | | | | | | | | | | | | % 51.09/8.26 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (871), (872) imply: % 51.09/8.26 | | | | | | | | | | | | | | | | | | | (925) all_442_0 = all_414_1 % 51.09/8.26 | | | | | | | | | | | | | | | | | | | % 51.09/8.26 | | | | | | | | | | | | | | | | | | | SIMP: (925) implies: % 51.09/8.26 | | | | | | | | | | | | | | | | | | | (926) all_442_0 = all_414_1 % 51.09/8.26 | | | | | | | | | | | | | | | | | | | % 51.09/8.26 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (869), (870) imply: % 51.09/8.26 | | | | | | | | | | | | | | | | | | | (927) all_440_0 = all_8_0 % 51.09/8.26 | | | | | | | | | | | | | | | | | | | % 51.09/8.26 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (870), (900) imply: % 51.09/8.26 | | | | | | | | | | | | | | | | | | | (928) all_440_0 = all_412_1 % 51.09/8.26 | | | | | | | | | | | | | | | | | | | % 51.09/8.26 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (870), (926) imply: % 51.09/8.26 | | | | | | | | | | | | | | | | | | | (929) all_440_0 = all_414_1 % 51.09/8.26 | | | | | | | | | | | | | | | | | | | % 51.09/8.26 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (927), (929) imply: % 51.09/8.26 | | | | | | | | | | | | | | | | | | | (930) all_414_1 = all_8_0 % 51.09/8.26 | | | | | | | | | | | | | | | | | | | % 51.09/8.26 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (928), (929) imply: % 51.09/8.26 | | | | | | | | | | | | | | | | | | | (931) all_414_1 = all_412_1 % 51.09/8.26 | | | | | | | | | | | | | | | | | | | % 51.09/8.26 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (909), (917) imply: % 51.09/8.26 | | | | | | | | | | | | | | | | | | | (932) all_420_1 = all_416_0 % 51.09/8.26 | | | | | | | | | | | | | | | | | | | % 51.09/8.26 | | | | | | | | | | | | | | | | | | | SIMP: (932) implies: % 51.09/8.26 | | | | | | | | | | | | | | | | | | | (933) all_420_1 = all_416_0 % 51.09/8.26 | | | | | | | | | | | | | | | | | | | % 51.09/8.26 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (889), (890) imply: % 51.09/8.26 | | | | | | | | | | | | | | | | | | | (934) all_424_0 = all_422_0 % 51.09/8.26 | | | | | | | | | | | | | | | | | | | % 51.09/8.26 | | | | | | | | | | | | | | | | | | | SIMP: (934) implies: % 51.09/8.26 | | | | | | | | | | | | | | | | | | | (935) all_424_0 = all_422_0 % 51.09/8.26 | | | | | | | | | | | | | | | | | | | % 51.09/8.26 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (879), (880) imply: % 51.09/8.26 | | | | | | | | | | | | | | | | | | | (936) all_430_1 = all_428_1 % 51.09/8.26 | | | | | | | | | | | | | | | | | | | % 51.09/8.26 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (879), (913) imply: % 51.09/8.26 | | | | | | | | | | | | | | | | | | | (937) all_430_1 = all_8_2 % 51.09/8.26 | | | | | | | | | | | | | | | | | | | % 51.09/8.26 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (879), (911) imply: % 51.09/8.26 | | | | | | | | | | | | | | | | | | | (938) all_430_1 = all_426_0 % 51.09/8.26 | | | | | | | | | | | | | | | | | | | % 51.09/8.26 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (920), (921) imply: % 51.09/8.26 | | | | | | | | | | | | | | | | | | | (939) all_424_0 = all_8_0 % 51.09/8.26 | | | | | | | | | | | | | | | | | | | % 51.09/8.26 | | | | | | | | | | | | | | | | | | | SIMP: (939) implies: % 51.09/8.26 | | | | | | | | | | | | | | | | | | | (940) all_424_0 = all_8_0 % 51.09/8.26 | | | | | | | | | | | | | | | | | | | % 51.09/8.26 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (936), (938) imply: % 51.09/8.26 | | | | | | | | | | | | | | | | | | | (941) all_428_1 = all_426_0 % 51.09/8.26 | | | | | | | | | | | | | | | | | | | % 51.09/8.26 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (936), (937) imply: % 51.09/8.26 | | | | | | | | | | | | | | | | | | | (942) all_428_1 = all_8_2 % 51.09/8.26 | | | | | | | | | | | | | | | | | | | % 51.09/8.26 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (941), (942) imply: % 51.09/8.26 | | | | | | | | | | | | | | | | | | | (943) all_426_0 = all_8_2 % 51.09/8.26 | | | | | | | | | | | | | | | | | | | % 51.09/8.26 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (935), (940) imply: % 51.09/8.26 | | | | | | | | | | | | | | | | | | | (944) all_422_0 = all_8_0 % 51.09/8.26 | | | | | | | | | | | | | | | | | | | % 51.09/8.26 | | | | | | | | | | | | | | | | | | | SIMP: (944) implies: % 51.09/8.26 | | | | | | | | | | | | | | | | | | | (945) all_422_0 = all_8_0 % 51.09/8.26 | | | | | | | | | | | | | | | | | | | % 51.09/8.26 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (907), (933) imply: % 51.09/8.26 | | | | | | | | | | | | | | | | | | | (946) all_418_0 = all_416_0 % 51.09/8.26 | | | | | | | | | | | | | | | | | | | % 51.09/8.26 | | | | | | | | | | | | | | | | | | | SIMP: (946) implies: % 51.09/8.26 | | | | | | | | | | | | | | | | | | | (947) all_418_0 = all_416_0 % 51.09/8.26 | | | | | | | | | | | | | | | | | | | % 51.09/8.26 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (863), (947) imply: % 51.09/8.26 | | | | | | | | | | | | | | | | | | | (948) all_416_0 = all_8_2 % 51.09/8.26 | | | | | | | | | | | | | | | | | | | % 51.09/8.26 | | | | | | | | | | | | | | | | | | | SIMP: (948) implies: % 51.09/8.26 | | | | | | | | | | | | | | | | | | | (949) all_416_0 = all_8_2 % 51.09/8.26 | | | | | | | | | | | | | | | | | | | % 51.09/8.26 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (930), (931) imply: % 51.09/8.26 | | | | | | | | | | | | | | | | | | | (950) all_412_1 = all_8_0 % 51.09/8.26 | | | | | | | | | | | | | | | | | | | % 51.09/8.26 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (915), (924) imply: % 51.09/8.26 | | | | | | | | | | | | | | | | | | | (951) all_450_0 = all_8_0 % 51.09/8.26 | | | | | | | | | | | | | | | | | | | % 51.09/8.26 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (8) with all_8_3, all_8_1, % 51.09/8.26 | | | | | | | | | | | | | | | | | | | all_446_1, simplifying with (23), (24), (822) % 51.09/8.26 | | | | | | | | | | | | | | | | | | | gives: % 51.09/8.26 | | | | | | | | | | | | | | | | | | | (952) all_446_1 = 0 | ? [v0: $i] : ? [v1: $i] : % 51.09/8.26 | | | | | | | | | | | | | | | | | | | (product(all_8_1, all_8_3) = v1 & product(all_8_3, % 51.09/8.26 | | | | | | | | | | | | | | | | | | | all_8_1) = v0 & $i(v1) & $i(v0) & ( ~ (v1 = % 51.09/8.26 | | | | | | | | | | | | | | | | | | | all_8_1) | ~ (v0 = all_8_3))) % 51.09/8.26 | | | | | | | | | | | | | | | | | | | % 51.09/8.26 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (8) with all_8_1, all_8_3, % 51.09/8.26 | | | | | | | | | | | | | | | | | | | all_450_1, simplifying with (23), (24), (830) % 51.09/8.26 | | | | | | | | | | | | | | | | | | | gives: % 51.09/8.26 | | | | | | | | | | | | | | | | | | | (953) all_450_1 = 0 | ? [v0: $i] : ? [v1: $i] : % 51.09/8.26 | | | | | | | | | | | | | | | | | | | (product(all_8_1, all_8_3) = v0 & product(all_8_3, % 51.09/8.26 | | | | | | | | | | | | | | | | | | | all_8_1) = v1 & $i(v1) & $i(v0) & ( ~ (v1 = % 51.09/8.26 | | | | | | | | | | | | | | | | | | | all_8_3) | ~ (v0 = all_8_1))) % 51.09/8.26 | | | | | | | | | | | | | | | | | | | % 51.09/8.26 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (5) with all_410_0, all_8_5, % 51.09/8.26 | | | | | | | | | | | | | | | | | | | simplifying with (22), (781), (782) gives: % 51.09/8.26 | | | | | | | | | | | | | | | | | | | (954) product(all_410_0, all_8_5) = all_410_0 & % 51.09/8.26 | | | | | | | | | | | | | | | | | | | product(all_8_5, all_410_0) = all_8_5 % 51.09/8.26 | | | | | | | | | | | | | | | | | | | % 51.09/8.26 | | | | | | | | | | | | | | | | | | | ALPHA: (954) implies: % 51.09/8.26 | | | | | | | | | | | | | | | | | | | (955) product(all_8_5, all_410_0) = all_8_5 % 51.09/8.26 | | | | | | | | | | | | | | | | | | | (956) product(all_410_0, all_8_5) = all_410_0 % 51.09/8.26 | | | | | | | | | | | | | | | | | | | % 51.09/8.26 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (11) with all_8_6, all_410_0, % 51.09/8.26 | | | | | | | | | | | | | | | | | | | simplifying with (21), (781), (783) gives: % 51.09/8.26 | | | | | | | | | | | | | | | | | | | (957) product(all_410_0, all_8_6) = all_8_6 & % 51.09/8.26 | | | | | | | | | | | | | | | | | | | product(all_8_6, all_410_0) = all_410_0 % 51.09/8.26 | | | | | | | | | | | | | | | | | | | % 51.09/8.26 | | | | | | | | | | | | | | | | | | | ALPHA: (957) implies: % 51.09/8.26 | | | | | | | | | | | | | | | | | | | (958) product(all_8_6, all_410_0) = all_410_0 % 51.09/8.26 | | | | | | | | | | | | | | | | | | | (959) product(all_410_0, all_8_6) = all_8_6 % 51.09/8.26 | | | | | | | | | | | | | | | | | | | % 51.09/8.26 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (14) with all_8_3, all_8_1, % 51.09/8.26 | | | | | | | | | | | | | | | | | | | all_448_1, simplifying with (23), (24), (826) % 51.09/8.26 | | | | | | | | | | | | | | | | | | | gives: % 51.09/8.26 | | | | | | | | | | | | | | | | | | | (960) all_448_1 = 0 | ? [v0: $i] : ? [v1: $i] : % 51.09/8.26 | | | | | | | | | | | | | | | | | | | (product(all_8_1, all_8_3) = v1 & product(all_8_3, % 51.09/8.26 | | | | | | | | | | | | | | | | | | | all_8_1) = v0 & $i(v1) & $i(v0) & ( ~ (v1 = % 51.09/8.26 | | | | | | | | | | | | | | | | | | | all_8_3) | ~ (v0 = all_8_1))) % 51.09/8.26 | | | | | | | | | | | | | | | | | | | % 51.09/8.26 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (14) with all_8_1, all_8_3, % 51.09/8.26 | | | | | | | | | | | | | | | | | | | all_458_1, simplifying with (23), (24), (840) % 51.09/8.26 | | | | | | | | | | | | | | | | | | | gives: % 51.09/8.26 | | | | | | | | | | | | | | | | | | | (961) all_458_1 = 0 | ? [v0: $i] : ? [v1: $i] : % 51.09/8.26 | | | | | | | | | | | | | | | | | | | (product(all_8_1, all_8_3) = v0 & product(all_8_3, % 51.09/8.26 | | | | | | | | | | | | | | | | | | | all_8_1) = v1 & $i(v1) & $i(v0) & ( ~ (v1 = % 51.09/8.26 | | | | | | | | | | | | | | | | | | | all_8_1) | ~ (v0 = all_8_3))) % 51.09/8.26 | | | | | | | | | | | | | | | | | | | % 51.09/8.26 | | | | | | | | | | | | | | | | | | | BETA: splitting (726) gives: % 51.09/8.26 | | | | | | | | | | | | | | | | | | | % 51.09/8.26 | | | | | | | | | | | | | | | | | | | Case 1: % 51.09/8.26 | | | | | | | | | | | | | | | | | | | | % 51.09/8.26 | | | | | | | | | | | | | | | | | | | | % 51.09/8.26 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (10) with all_410_0, all_8_6, % 51.09/8.26 | | | | | | | | | | | | | | | | | | | | simplifying with (21), (781), (958) gives: % 51.09/8.26 | | | | | | | | | | | | | | | | | | | | (962) ? [v0: $i] : ? [v1: any] : (r(all_410_0, % 51.09/8.26 | | | | | | | | | | | | | | | | | | | | all_8_6) = v1 & product(all_410_0, all_8_6) = % 51.09/8.26 | | | | | | | | | | | | | | | | | | | | v0 & $i(v0) & ( ~ (v0 = all_8_6) | v1 = 0)) % 51.09/8.26 | | | | | | | | | | | | | | | | | | | | % 51.09/8.26 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (13) with all_410_0, all_8_6, % 51.09/8.26 | | | | | | | | | | | | | | | | | | | | all_410_0, simplifying with (21), (781), (958) % 51.09/8.26 | | | | | | | | | | | | | | | | | | | | gives: % 51.09/8.26 | | | | | | | | | | | | | | | | | | | | (963) ? [v0: any] : ? [v1: $i] : (r(all_410_0, % 51.09/8.26 | | | | | | | | | | | | | | | | | | | | all_8_6) = v0 & product(all_410_0, all_8_6) = % 51.09/8.26 | | | | | | | | | | | | | | | | | | | | v1 & $i(v1) & ( ~ (v0 = 0) | v1 = all_8_6)) % 51.09/8.26 | | | | | | | | | | | | | | | | | | | | % 51.09/8.26 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (7) with all_410_0, all_8_6, % 51.09/8.26 | | | | | | | | | | | | | | | | | | | | all_410_0, simplifying with (21), (781), (958) % 51.09/8.26 | | | | | | | | | | | | | | | | | | | | gives: % 51.09/8.26 | | | | | | | | | | | | | | | | | | | | (964) ? [v0: any] : ? [v1: $i] : (l(all_410_0, % 51.09/8.26 | | | | | | | | | | | | | | | | | | | | all_8_6) = v0 & product(all_410_0, all_8_6) = % 51.09/8.26 | | | | | | | | | | | | | | | | | | | | v1 & $i(v1) & ( ~ (v0 = 0) | (v1 = all_8_6 & % 51.09/8.26 | | | | | | | | | | | | | | | | | | | | all_410_0 = all_8_6))) % 51.09/8.26 | | | | | | | | | | | | | | | | | | | | % 51.09/8.26 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (6) with all_8_6, all_410_0, % 51.09/8.26 | | | | | | | | | | | | | | | | | | | | all_410_0, simplifying with (21), (781), (958) % 51.09/8.26 | | | | | | | | | | | | | | | | | | | | gives: % 51.09/8.26 | | | | | | | | | | | | | | | | | | | | (965) ? [v0: any] : ? [v1: $i] : (l(all_8_6, % 51.09/8.26 | | | | | | | | | | | | | | | | | | | | all_410_0) = v0 & product(all_410_0, all_8_6) % 51.09/8.26 | | | | | | | | | | | | | | | | | | | | = v1 & $i(v1) & ( ~ (v0 = 0) | (v1 = all_8_6 & % 51.09/8.26 | | | | | | | | | | | | | | | | | | | | all_410_0 = all_8_6))) % 51.09/8.27 | | | | | | | | | | | | | | | | | | | | % 51.09/8.27 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (1) with all_410_0, all_8_5, % 51.09/8.27 | | | | | | | | | | | | | | | | | | | | all_8_0, all_8_5, all_8_0, simplifying with (22), % 51.09/8.27 | | | | | | | | | | | | | | | | | | | | (599), (605), (781), (955) gives: % 51.09/8.27 | | | | | | | | | | | | | | | | | | | | (966) ? [v0: $i] : (product(v0, all_410_0) = all_8_0 & % 51.09/8.27 | | | | | | | | | | | | | | | | | | | | product(all_8_0, all_8_5) = v0 & $i(v0)) % 51.09/8.27 | | | | | | | | | | | | | | | | | | | | % 51.09/8.27 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (1) with all_410_0, all_8_5, % 51.09/8.27 | | | | | | | | | | | | | | | | | | | | all_8_1, all_8_5, all_8_1, simplifying with (22), % 51.09/8.27 | | | | | | | | | | | | | | | | | | | | (24), (443), (781), (955) gives: % 51.09/8.27 | | | | | | | | | | | | | | | | | | | | (967) ? [v0: $i] : (product(v0, all_410_0) = all_8_1 & % 51.09/8.27 | | | | | | | | | | | | | | | | | | | | product(all_8_1, all_8_5) = v0 & $i(v0)) % 51.09/8.27 | | | | | | | | | | | | | | | | | | | | % 51.09/8.27 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (1) with all_410_0, all_8_5, % 51.09/8.27 | | | | | | | | | | | | | | | | | | | | all_8_3, all_8_5, all_8_0, simplifying with (22), % 51.09/8.27 | | | | | | | | | | | | | | | | | | | | (23), (158), (781), (955) gives: % 51.09/8.27 | | | | | | | | | | | | | | | | | | | | (968) ? [v0: $i] : (product(v0, all_410_0) = all_8_0 & % 51.09/8.27 | | | | | | | | | | | | | | | | | | | | product(all_8_3, all_8_5) = v0 & $i(v0) & % 51.09/8.27 | | | | | | | | | | | | | | | | | | | | $i(all_8_0)) % 51.09/8.27 | | | | | | | | | | | | | | | | | | | | % 51.09/8.27 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with all_8_0, all_410_0, % 51.09/8.27 | | | | | | | | | | | | | | | | | | | | all_8_5, all_8_5, all_8_0, simplifying with (22), % 51.09/8.27 | | | | | | | | | | | | | | | | | | | | (602), (605), (781), (955) gives: % 51.09/8.27 | | | | | | | | | | | | | | | | | | | | (969) ? [v0: $i] : (product(all_410_0, all_8_0) = v0 & % 51.09/8.27 | | | | | | | | | | | | | | | | | | | | product(all_8_5, v0) = all_8_0 & $i(v0)) % 51.09/8.27 | | | | | | | | | | | | | | | | | | | | % 51.09/8.27 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with all_8_3, all_410_0, % 51.09/8.27 | | | | | | | | | | | | | | | | | | | | all_8_5, all_8_5, all_8_3, simplifying with (22), % 51.09/8.27 | | | | | | | | | | | | | | | | | | | | (23), (448), (781), (955) gives: % 51.09/8.27 | | | | | | | | | | | | | | | | | | | | (970) ? [v0: $i] : (product(all_410_0, all_8_3) = v0 & % 51.09/8.27 | | | | | | | | | | | | | | | | | | | | product(all_8_5, v0) = all_8_3 & $i(v0)) % 51.09/8.27 | | | | | | | | | | | | | | | | | | | | % 51.09/8.27 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with all_410_0, all_410_0, % 51.09/8.27 | | | | | | | | | | | | | | | | | | | | all_8_5, all_8_5, all_8_5, simplifying with (22), % 51.09/8.27 | | | | | | | | | | | | | | | | | | | | (781), (955) gives: % 51.09/8.27 | | | | | | | | | | | | | | | | | | | | (971) ? [v0: $i] : (product(all_410_0, all_410_0) = v0 % 51.09/8.27 | | | | | | | | | | | | | | | | | | | | & product(all_8_5, v0) = all_8_5 & $i(v0)) % 51.09/8.27 | | | | | | | | | | | | | | | | | | | | % 51.09/8.27 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (1) with all_410_0, all_8_6, % 51.09/8.27 | | | | | | | | | | | | | | | | | | | | all_8_5, all_410_0, all_8_5, simplifying with % 51.09/8.27 | | | | | | | | | | | | | | | | | | | | (21), (22), (781), (955), (958) gives: % 51.09/8.27 | | | | | | | | | | | | | | | | | | | | (972) ? [v0: $i] : (product(v0, all_410_0) = all_8_5 & % 51.09/8.27 | | | | | | | | | | | | | | | | | | | | product(all_8_5, all_8_6) = v0 & $i(v0)) % 51.09/8.27 | | | | | | | | | | | | | | | | | | | | % 51.09/8.27 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (1) with all_8_6, all_410_0, % 51.09/8.27 | | | | | | | | | | | | | | | | | | | | all_8_1, all_8_6, all_8_2, simplifying with (21), % 51.09/8.27 | | | | | | | | | | | | | | | | | | | | (24), (157), (781), (959) gives: % 51.09/8.27 | | | | | | | | | | | | | | | | | | | | (973) ? [v0: $i] : (product(v0, all_8_6) = all_8_2 & % 51.09/8.27 | | | | | | | | | | | | | | | | | | | | product(all_8_1, all_410_0) = v0 & $i(v0) & % 51.09/8.27 | | | | | | | | | | | | | | | | | | | | $i(all_8_2)) % 51.09/8.27 | | | | | | | | | | | | | | | | | | | | % 51.09/8.27 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (1) with all_8_6, all_410_0, % 51.09/8.27 | | | | | | | | | | | | | | | | | | | | all_8_2, all_8_6, all_8_2, simplifying with (21), % 51.09/8.27 | | | | | | | | | | | | | | | | | | | | (598), (604), (781), (959) gives: % 51.09/8.27 | | | | | | | | | | | | | | | | | | | | (974) ? [v0: $i] : (product(v0, all_8_6) = all_8_2 & % 51.09/8.27 | | | | | | | | | | | | | | | | | | | | product(all_8_2, all_410_0) = v0 & $i(v0)) % 51.09/8.27 | | | | | | | | | | | | | | | | | | | | % 51.09/8.27 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (1) with all_8_6, all_410_0, % 51.09/8.27 | | | | | | | | | | | | | | | | | | | | all_8_3, all_8_6, all_8_3, simplifying with (21), % 51.09/8.27 | | | | | | | | | | | | | | | | | | | | (23), (444), (781), (959) gives: % 51.09/8.27 | | | | | | | | | | | | | | | | | | | | (975) ? [v0: $i] : (product(v0, all_8_6) = all_8_3 & % 51.09/8.27 | | | | | | | | | | | | | | | | | | | | product(all_8_3, all_410_0) = v0 & $i(v0)) % 51.09/8.27 | | | | | | | | | | | | | | | | | | | | % 51.09/8.27 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with all_8_1, all_8_6, % 51.09/8.27 | | | | | | | | | | | | | | | | | | | | all_410_0, all_8_6, all_8_1, simplifying with % 51.09/8.27 | | | | | | | | | | | | | | | | | | | | (21), (24), (449), (781), (959) gives: % 51.09/8.27 | | | | | | | | | | | | | | | | | | | | (976) ? [v0: $i] : (product(all_410_0, v0) = all_8_1 & % 51.09/8.27 | | | | | | | | | | | | | | | | | | | | product(all_8_6, all_8_1) = v0 & $i(v0)) % 51.09/8.27 | | | | | | | | | | | | | | | | | | | | % 51.09/8.27 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with all_8_2, all_8_6, % 51.09/8.27 | | | | | | | | | | | | | | | | | | | | all_410_0, all_8_6, all_8_2, simplifying with % 51.09/8.27 | | | | | | | | | | | | | | | | | | | | (21), (603), (604), (781), (959) gives: % 51.09/8.27 | | | | | | | | | | | | | | | | | | | | (977) ? [v0: $i] : (product(all_410_0, v0) = all_8_2 & % 51.09/8.27 | | | | | | | | | | | | | | | | | | | | product(all_8_6, all_8_2) = v0 & $i(v0)) % 51.09/8.27 | | | | | | | | | | | | | | | | | | | | % 51.09/8.27 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with all_8_3, all_8_6, % 51.09/8.27 | | | | | | | | | | | | | | | | | | | | all_410_0, all_8_6, all_8_2, simplifying with % 51.09/8.27 | | | | | | | | | | | | | | | | | | | | (21), (23), (26), (781), (959) gives: % 51.09/8.27 | | | | | | | | | | | | | | | | | | | | (978) ? [v0: $i] : (product(all_410_0, v0) = all_8_2 & % 51.09/8.27 | | | | | | | | | | | | | | | | | | | | product(all_8_6, all_8_3) = v0 & $i(v0) & % 51.09/8.27 | | | | | | | | | | | | | | | | | | | | $i(all_8_2)) % 51.09/8.27 | | | | | | | | | | | | | | | | | | | | % 51.09/8.27 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (1) with all_8_6, all_410_0, % 51.09/8.27 | | | | | | | | | | | | | | | | | | | | all_410_0, all_8_6, all_8_6, simplifying with % 51.09/8.27 | | | | | | | | | | | | | | | | | | | | (21), (781), (959) gives: % 51.09/8.27 | | | | | | | | | | | | | | | | | | | | (979) ? [v0: $i] : (product(v0, all_8_6) = all_8_6 & % 51.09/8.27 | | | | | | | | | | | | | | | | | | | | product(all_410_0, all_410_0) = v0 & $i(v0)) % 51.09/8.27 | | | | | | | | | | | | | | | | | | | | % 51.09/8.27 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with all_410_0, all_8_6, % 51.09/8.27 | | | | | | | | | | | | | | | | | | | | all_410_0, all_8_6, all_410_0, simplifying with % 51.09/8.27 | | | | | | | | | | | | | | | | | | | | (21), (781), (958), (959) gives: % 51.09/8.27 | | | | | | | | | | | | | | | | | | | | (980) ? [v0: $i] : (product(all_410_0, v0) = all_410_0 % 51.09/8.27 | | | | | | | | | | | | | | | | | | | | & product(all_8_6, all_410_0) = v0 & $i(v0)) % 51.09/8.27 | | | | | | | | | | | | | | | | | | | | % 51.09/8.27 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (9) with all_410_0, all_8_6, % 51.09/8.27 | | | | | | | | | | | | | | | | | | | | simplifying with (21), (781), (959) gives: % 51.09/8.27 | | | | | | | | | | | | | | | | | | | | (981) ? [v0: $i] : ? [v1: any] : (r(all_410_0, % 51.09/8.27 | | | | | | | | | | | | | | | | | | | | all_8_6) = v1 & product(all_8_6, all_410_0) = % 51.09/8.27 | | | | | | | | | | | | | | | | | | | | v0 & $i(v0) & ( ~ (v0 = all_410_0) | v1 = 0)) % 51.09/8.27 | | | | | | | | | | | | | | | | | | | | % 51.09/8.27 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (7) with all_8_6, all_410_0, % 51.09/8.27 | | | | | | | | | | | | | | | | | | | | all_8_6, simplifying with (21), (781), (959) % 51.09/8.27 | | | | | | | | | | | | | | | | | | | | gives: % 51.09/8.27 | | | | | | | | | | | | | | | | | | | | (982) ? [v0: any] : ? [v1: $i] : (l(all_8_6, % 51.09/8.27 | | | | | | | | | | | | | | | | | | | | all_410_0) = v0 & product(all_8_6, all_410_0) % 51.09/8.27 | | | | | | | | | | | | | | | | | | | | = v1 & $i(v1) & ( ~ (v0 = 0) | (v1 = all_8_6 & % 51.09/8.27 | | | | | | | | | | | | | | | | | | | | all_410_0 = all_8_6))) % 51.09/8.27 | | | | | | | | | | | | | | | | | | | | % 51.09/8.27 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (12) with all_410_0, all_8_6, % 51.09/8.27 | | | | | | | | | | | | | | | | | | | | all_8_6, simplifying with (21), (781), (959) % 51.09/8.27 | | | | | | | | | | | | | | | | | | | | gives: % 51.09/8.27 | | | | | | | | | | | | | | | | | | | | (983) ? [v0: any] : ? [v1: $i] : (r(all_410_0, % 51.09/8.27 | | | | | | | | | | | | | | | | | | | | all_8_6) = v0 & product(all_8_6, all_410_0) = % 51.09/8.27 | | | | | | | | | | | | | | | | | | | | v1 & $i(v1) & ( ~ (v0 = 0) | v1 = all_410_0)) % 51.09/8.27 | | | | | | | | | | | | | | | | | | | | % 51.09/8.27 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (6) with all_410_0, all_8_6, % 51.09/8.27 | | | | | | | | | | | | | | | | | | | | all_8_6, simplifying with (21), (781), (959) % 51.09/8.27 | | | | | | | | | | | | | | | | | | | | gives: % 51.09/8.27 | | | | | | | | | | | | | | | | | | | | (984) ? [v0: any] : ? [v1: $i] : (l(all_410_0, % 51.09/8.27 | | | | | | | | | | | | | | | | | | | | all_8_6) = v0 & product(all_8_6, all_410_0) = % 51.09/8.27 | | | | | | | | | | | | | | | | | | | | v1 & $i(v1) & ( ~ (v0 = 0) | (v1 = all_8_6 & % 51.09/8.27 | | | | | | | | | | | | | | | | | | | | all_410_0 = all_8_6))) % 51.09/8.27 | | | | | | | | | | | | | | | | | | | | % 51.09/8.27 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with all_8_6, all_8_5, % 51.09/8.27 | | | | | | | | | | | | | | | | | | | | all_410_0, all_410_0, all_8_6, simplifying with % 51.09/8.27 | | | | | | | | | | | | | | | | | | | | (21), (22), (781), (956), (959) gives: % 51.09/8.27 | | | | | | | | | | | | | | | | | | | | (985) ? [v0: $i] : (product(all_410_0, v0) = all_8_6 & % 51.09/8.27 | | | | | | | | | | | | | | | | | | | | product(all_8_5, all_8_6) = v0 & $i(v0)) % 51.09/8.27 | | | | | | | | | | | | | | | | | | | | % 51.09/8.27 | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (977) with fresh symbol all_537_0 % 51.09/8.27 | | | | | | | | | | | | | | | | | | | | gives: % 51.09/8.27 | | | | | | | | | | | | | | | | | | | | (986) product(all_410_0, all_537_0) = all_8_2 & % 51.09/8.27 | | | | | | | | | | | | | | | | | | | | product(all_8_6, all_8_2) = all_537_0 & % 51.09/8.27 | | | | | | | | | | | | | | | | | | | | $i(all_537_0) % 51.09/8.27 | | | | | | | | | | | | | | | | | | | | % 51.09/8.27 | | | | | | | | | | | | | | | | | | | | ALPHA: (986) implies: % 51.09/8.27 | | | | | | | | | | | | | | | | | | | | (987) $i(all_537_0) % 51.09/8.27 | | | | | | | | | | | | | | | | | | | | (988) product(all_8_6, all_8_2) = all_537_0 % 51.09/8.27 | | | | | | | | | | | | | | | | | | | | (989) product(all_410_0, all_537_0) = all_8_2 % 51.09/8.27 | | | | | | | | | | | | | | | | | | | | % 51.09/8.27 | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (976) with fresh symbol all_539_0 % 51.09/8.27 | | | | | | | | | | | | | | | | | | | | gives: % 51.09/8.27 | | | | | | | | | | | | | | | | | | | | (990) product(all_410_0, all_539_0) = all_8_1 & % 51.09/8.27 | | | | | | | | | | | | | | | | | | | | product(all_8_6, all_8_1) = all_539_0 & % 51.09/8.27 | | | | | | | | | | | | | | | | | | | | $i(all_539_0) % 51.09/8.27 | | | | | | | | | | | | | | | | | | | | % 51.09/8.27 | | | | | | | | | | | | | | | | | | | | ALPHA: (990) implies: % 51.09/8.27 | | | | | | | | | | | | | | | | | | | | (991) product(all_8_6, all_8_1) = all_539_0 % 51.09/8.27 | | | | | | | | | | | | | | | | | | | | % 51.09/8.27 | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (972) with fresh symbol all_541_0 % 51.09/8.27 | | | | | | | | | | | | | | | | | | | | gives: % 51.09/8.27 | | | | | | | | | | | | | | | | | | | | (992) product(all_541_0, all_410_0) = all_8_5 & % 51.09/8.27 | | | | | | | | | | | | | | | | | | | | product(all_8_5, all_8_6) = all_541_0 & % 51.09/8.27 | | | | | | | | | | | | | | | | | | | | $i(all_541_0) % 51.09/8.27 | | | | | | | | | | | | | | | | | | | | % 51.09/8.27 | | | | | | | | | | | | | | | | | | | | ALPHA: (992) implies: % 51.09/8.27 | | | | | | | | | | | | | | | | | | | | (993) $i(all_541_0) % 51.09/8.27 | | | | | | | | | | | | | | | | | | | | (994) product(all_8_5, all_8_6) = all_541_0 % 51.09/8.27 | | | | | | | | | | | | | | | | | | | | (995) product(all_541_0, all_410_0) = all_8_5 % 51.09/8.27 | | | | | | | | | | | | | | | | | | | | % 51.09/8.27 | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (969) with fresh symbol all_543_0 % 51.09/8.27 | | | | | | | | | | | | | | | | | | | | gives: % 51.09/8.27 | | | | | | | | | | | | | | | | | | | | (996) product(all_410_0, all_8_0) = all_543_0 & % 51.09/8.27 | | | | | | | | | | | | | | | | | | | | product(all_8_5, all_543_0) = all_8_0 & % 51.09/8.27 | | | | | | | | | | | | | | | | | | | | $i(all_543_0) % 51.09/8.27 | | | | | | | | | | | | | | | | | | | | % 51.09/8.27 | | | | | | | | | | | | | | | | | | | | ALPHA: (996) implies: % 51.09/8.27 | | | | | | | | | | | | | | | | | | | | (997) $i(all_543_0) % 51.09/8.27 | | | | | | | | | | | | | | | | | | | | (998) product(all_8_5, all_543_0) = all_8_0 % 51.09/8.27 | | | | | | | | | | | | | | | | | | | | (999) product(all_410_0, all_8_0) = all_543_0 % 51.09/8.27 | | | | | | | | | | | | | | | | | | | | % 51.09/8.27 | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (975) with fresh symbol all_545_0 % 51.09/8.27 | | | | | | | | | | | | | | | | | | | | gives: % 51.09/8.27 | | | | | | | | | | | | | | | | | | | | (1000) product(all_545_0, all_8_6) = all_8_3 & % 51.09/8.27 | | | | | | | | | | | | | | | | | | | | product(all_8_3, all_410_0) = all_545_0 & % 51.09/8.27 | | | | | | | | | | | | | | | | | | | | $i(all_545_0) % 51.09/8.27 | | | | | | | | | | | | | | | | | | | | % 51.09/8.27 | | | | | | | | | | | | | | | | | | | | ALPHA: (1000) implies: % 51.09/8.27 | | | | | | | | | | | | | | | | | | | | (1001) $i(all_545_0) % 51.09/8.27 | | | | | | | | | | | | | | | | | | | | (1002) product(all_8_3, all_410_0) = all_545_0 % 51.09/8.27 | | | | | | | | | | | | | | | | | | | | % 51.09/8.27 | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (985) with fresh symbol all_547_0 % 51.09/8.27 | | | | | | | | | | | | | | | | | | | | gives: % 51.09/8.27 | | | | | | | | | | | | | | | | | | | | (1003) product(all_410_0, all_547_0) = all_8_6 & % 51.09/8.27 | | | | | | | | | | | | | | | | | | | | product(all_8_5, all_8_6) = all_547_0 & % 51.09/8.27 | | | | | | | | | | | | | | | | | | | | $i(all_547_0) % 51.09/8.27 | | | | | | | | | | | | | | | | | | | | % 51.09/8.27 | | | | | | | | | | | | | | | | | | | | ALPHA: (1003) implies: % 51.09/8.27 | | | | | | | | | | | | | | | | | | | | (1004) product(all_8_5, all_8_6) = all_547_0 % 51.09/8.27 | | | | | | | | | | | | | | | | | | | | (1005) product(all_410_0, all_547_0) = all_8_6 % 51.09/8.27 | | | | | | | | | | | | | | | | | | | | % 51.09/8.27 | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (980) with fresh symbol all_549_0 % 51.09/8.27 | | | | | | | | | | | | | | | | | | | | gives: % 51.09/8.27 | | | | | | | | | | | | | | | | | | | | (1006) product(all_410_0, all_549_0) = all_410_0 & % 51.09/8.27 | | | | | | | | | | | | | | | | | | | | product(all_8_6, all_410_0) = all_549_0 & % 51.09/8.27 | | | | | | | | | | | | | | | | | | | | $i(all_549_0) % 51.09/8.27 | | | | | | | | | | | | | | | | | | | | % 51.09/8.27 | | | | | | | | | | | | | | | | | | | | ALPHA: (1006) implies: % 51.09/8.27 | | | | | | | | | | | | | | | | | | | | (1007) product(all_8_6, all_410_0) = all_549_0 % 51.09/8.27 | | | | | | | | | | | | | | | | | | | | (1008) product(all_410_0, all_549_0) = all_410_0 % 51.09/8.27 | | | | | | | | | | | | | | | | | | | | % 51.09/8.27 | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (979) with fresh symbol all_551_0 % 51.09/8.27 | | | | | | | | | | | | | | | | | | | | gives: % 51.31/8.27 | | | | | | | | | | | | | | | | | | | | (1009) product(all_551_0, all_8_6) = all_8_6 & % 51.31/8.27 | | | | | | | | | | | | | | | | | | | | product(all_410_0, all_410_0) = all_551_0 & % 51.31/8.27 | | | | | | | | | | | | | | | | | | | | $i(all_551_0) % 51.31/8.27 | | | | | | | | | | | | | | | | | | | | % 51.31/8.27 | | | | | | | | | | | | | | | | | | | | ALPHA: (1009) implies: % 51.31/8.28 | | | | | | | | | | | | | | | | | | | | (1010) product(all_410_0, all_410_0) = all_551_0 % 51.31/8.28 | | | | | | | | | | | | | | | | | | | | % 51.31/8.28 | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (974) with fresh symbol all_553_0 % 51.31/8.28 | | | | | | | | | | | | | | | | | | | | gives: % 51.31/8.28 | | | | | | | | | | | | | | | | | | | | (1011) product(all_553_0, all_8_6) = all_8_2 & % 51.31/8.28 | | | | | | | | | | | | | | | | | | | | product(all_8_2, all_410_0) = all_553_0 & % 51.31/8.28 | | | | | | | | | | | | | | | | | | | | $i(all_553_0) % 51.31/8.28 | | | | | | | | | | | | | | | | | | | | % 51.31/8.28 | | | | | | | | | | | | | | | | | | | | ALPHA: (1011) implies: % 51.31/8.28 | | | | | | | | | | | | | | | | | | | | (1012) $i(all_553_0) % 51.31/8.28 | | | | | | | | | | | | | | | | | | | | (1013) product(all_8_2, all_410_0) = all_553_0 % 51.31/8.28 | | | | | | | | | | | | | | | | | | | | (1014) product(all_553_0, all_8_6) = all_8_2 % 51.31/8.28 | | | | | | | | | | | | | | | | | | | | % 51.31/8.28 | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (967) with fresh symbol all_555_0 % 51.31/8.28 | | | | | | | | | | | | | | | | | | | | gives: % 51.31/8.28 | | | | | | | | | | | | | | | | | | | | (1015) product(all_555_0, all_410_0) = all_8_1 & % 51.31/8.28 | | | | | | | | | | | | | | | | | | | | product(all_8_1, all_8_5) = all_555_0 & % 51.31/8.28 | | | | | | | | | | | | | | | | | | | | $i(all_555_0) % 51.31/8.28 | | | | | | | | | | | | | | | | | | | | % 51.31/8.28 | | | | | | | | | | | | | | | | | | | | ALPHA: (1015) implies: % 51.31/8.28 | | | | | | | | | | | | | | | | | | | | (1016) product(all_8_1, all_8_5) = all_555_0 % 51.31/8.28 | | | | | | | | | | | | | | | | | | | | (1017) product(all_555_0, all_410_0) = all_8_1 % 51.31/8.28 | | | | | | | | | | | | | | | | | | | | % 51.31/8.28 | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (966) with fresh symbol all_557_0 % 51.31/8.28 | | | | | | | | | | | | | | | | | | | | gives: % 51.31/8.28 | | | | | | | | | | | | | | | | | | | | (1018) product(all_557_0, all_410_0) = all_8_0 & % 51.31/8.28 | | | | | | | | | | | | | | | | | | | | product(all_8_0, all_8_5) = all_557_0 & % 51.31/8.28 | | | | | | | | | | | | | | | | | | | | $i(all_557_0) % 51.31/8.28 | | | | | | | | | | | | | | | | | | | | % 51.31/8.28 | | | | | | | | | | | | | | | | | | | | ALPHA: (1018) implies: % 51.31/8.28 | | | | | | | | | | | | | | | | | | | | (1019) $i(all_557_0) % 51.31/8.28 | | | | | | | | | | | | | | | | | | | | (1020) product(all_8_0, all_8_5) = all_557_0 % 51.31/8.28 | | | | | | | | | | | | | | | | | | | | (1021) product(all_557_0, all_410_0) = all_8_0 % 51.31/8.28 | | | | | | | | | | | | | | | | | | | | % 51.31/8.28 | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (971) with fresh symbol all_559_0 % 51.31/8.28 | | | | | | | | | | | | | | | | | | | | gives: % 51.31/8.28 | | | | | | | | | | | | | | | | | | | | (1022) product(all_410_0, all_410_0) = all_559_0 & % 51.31/8.28 | | | | | | | | | | | | | | | | | | | | product(all_8_5, all_559_0) = all_8_5 & % 51.31/8.28 | | | | | | | | | | | | | | | | | | | | $i(all_559_0) % 51.31/8.28 | | | | | | | | | | | | | | | | | | | | % 51.31/8.28 | | | | | | | | | | | | | | | | | | | | ALPHA: (1022) implies: % 51.31/8.28 | | | | | | | | | | | | | | | | | | | | (1023) $i(all_559_0) % 51.31/8.28 | | | | | | | | | | | | | | | | | | | | (1024) product(all_410_0, all_410_0) = all_559_0 % 51.31/8.28 | | | | | | | | | | | | | | | | | | | | % 51.31/8.28 | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (970) with fresh symbol all_561_0 % 51.31/8.28 | | | | | | | | | | | | | | | | | | | | gives: % 51.31/8.28 | | | | | | | | | | | | | | | | | | | | (1025) product(all_410_0, all_8_3) = all_561_0 & % 51.31/8.28 | | | | | | | | | | | | | | | | | | | | product(all_8_5, all_561_0) = all_8_3 & % 51.31/8.28 | | | | | | | | | | | | | | | | | | | | $i(all_561_0) % 51.31/8.28 | | | | | | | | | | | | | | | | | | | | % 51.31/8.28 | | | | | | | | | | | | | | | | | | | | ALPHA: (1025) implies: % 51.31/8.28 | | | | | | | | | | | | | | | | | | | | (1026) $i(all_561_0) % 51.31/8.28 | | | | | | | | | | | | | | | | | | | | (1027) product(all_410_0, all_8_3) = all_561_0 % 51.31/8.28 | | | | | | | | | | | | | | | | | | | | % 51.31/8.28 | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (968) with fresh symbol all_563_0 % 51.31/8.28 | | | | | | | | | | | | | | | | | | | | gives: % 51.31/8.28 | | | | | | | | | | | | | | | | | | | | (1028) product(all_563_0, all_410_0) = all_8_0 & % 51.31/8.28 | | | | | | | | | | | | | | | | | | | | product(all_8_3, all_8_5) = all_563_0 & % 51.31/8.28 | | | | | | | | | | | | | | | | | | | | $i(all_563_0) & $i(all_8_0) % 51.31/8.28 | | | | | | | | | | | | | | | | | | | | % 51.31/8.28 | | | | | | | | | | | | | | | | | | | | ALPHA: (1028) implies: % 51.31/8.28 | | | | | | | | | | | | | | | | | | | | (1029) product(all_8_3, all_8_5) = all_563_0 % 51.31/8.28 | | | | | | | | | | | | | | | | | | | | % 51.31/8.28 | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (973) with fresh symbol all_565_0 % 51.31/8.28 | | | | | | | | | | | | | | | | | | | | gives: % 51.31/8.28 | | | | | | | | | | | | | | | | | | | | (1030) product(all_565_0, all_8_6) = all_8_2 & % 51.31/8.28 | | | | | | | | | | | | | | | | | | | | product(all_8_1, all_410_0) = all_565_0 & % 51.31/8.28 | | | | | | | | | | | | | | | | | | | | $i(all_565_0) & $i(all_8_2) % 51.31/8.28 | | | | | | | | | | | | | | | | | | | | % 51.31/8.28 | | | | | | | | | | | | | | | | | | | | ALPHA: (1030) implies: % 51.31/8.28 | | | | | | | | | | | | | | | | | | | | (1031) $i(all_565_0) % 51.31/8.28 | | | | | | | | | | | | | | | | | | | | (1032) product(all_8_1, all_410_0) = all_565_0 % 51.31/8.28 | | | | | | | | | | | | | | | | | | | | (1033) product(all_565_0, all_8_6) = all_8_2 % 51.31/8.28 | | | | | | | | | | | | | | | | | | | | % 51.31/8.28 | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (978) with fresh symbol all_573_0 % 51.31/8.28 | | | | | | | | | | | | | | | | | | | | gives: % 51.31/8.28 | | | | | | | | | | | | | | | | | | | | (1034) product(all_410_0, all_573_0) = all_8_2 & % 51.31/8.28 | | | | | | | | | | | | | | | | | | | | product(all_8_6, all_8_3) = all_573_0 & % 51.31/8.28 | | | | | | | | | | | | | | | | | | | | $i(all_573_0) & $i(all_8_2) % 51.31/8.28 | | | | | | | | | | | | | | | | | | | | % 51.31/8.28 | | | | | | | | | | | | | | | | | | | | ALPHA: (1034) implies: % 51.31/8.28 | | | | | | | | | | | | | | | | | | | | (1035) product(all_8_6, all_8_3) = all_573_0 % 51.31/8.28 | | | | | | | | | | | | | | | | | | | | % 51.31/8.28 | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (983) with fresh symbols all_581_0, % 51.31/8.28 | | | | | | | | | | | | | | | | | | | | all_581_1 gives: % 51.31/8.28 | | | | | | | | | | | | | | | | | | | | (1036) r(all_410_0, all_8_6) = all_581_1 & % 51.31/8.28 | | | | | | | | | | | | | | | | | | | | product(all_8_6, all_410_0) = all_581_0 & % 51.31/8.28 | | | | | | | | | | | | | | | | | | | | $i(all_581_0) & ( ~ (all_581_1 = 0) | all_581_0 = % 51.31/8.28 | | | | | | | | | | | | | | | | | | | | all_410_0) % 51.31/8.28 | | | | | | | | | | | | | | | | | | | | % 51.31/8.28 | | | | | | | | | | | | | | | | | | | | ALPHA: (1036) implies: % 51.31/8.28 | | | | | | | | | | | | | | | | | | | | (1037) product(all_8_6, all_410_0) = all_581_0 % 51.31/8.28 | | | | | | | | | | | | | | | | | | | | % 51.31/8.28 | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (981) with fresh symbols all_583_0, % 51.31/8.28 | | | | | | | | | | | | | | | | | | | | all_583_1 gives: % 51.31/8.28 | | | | | | | | | | | | | | | | | | | | (1038) r(all_410_0, all_8_6) = all_583_0 & % 51.31/8.28 | | | | | | | | | | | | | | | | | | | | product(all_8_6, all_410_0) = all_583_1 & % 51.31/8.28 | | | | | | | | | | | | | | | | | | | | $i(all_583_1) & ( ~ (all_583_1 = all_410_0) | % 51.31/8.28 | | | | | | | | | | | | | | | | | | | | all_583_0 = 0) % 51.31/8.28 | | | | | | | | | | | | | | | | | | | | % 51.31/8.28 | | | | | | | | | | | | | | | | | | | | ALPHA: (1038) implies: % 51.31/8.28 | | | | | | | | | | | | | | | | | | | | (1039) product(all_8_6, all_410_0) = all_583_1 % 51.31/8.28 | | | | | | | | | | | | | | | | | | | | % 51.31/8.28 | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (963) with fresh symbols all_587_0, % 51.31/8.28 | | | | | | | | | | | | | | | | | | | | all_587_1 gives: % 51.31/8.28 | | | | | | | | | | | | | | | | | | | | (1040) r(all_410_0, all_8_6) = all_587_1 & % 51.31/8.28 | | | | | | | | | | | | | | | | | | | | product(all_410_0, all_8_6) = all_587_0 & % 51.31/8.28 | | | | | | | | | | | | | | | | | | | | $i(all_587_0) & ( ~ (all_587_1 = 0) | all_587_0 = % 51.31/8.28 | | | | | | | | | | | | | | | | | | | | all_8_6) % 51.31/8.28 | | | | | | | | | | | | | | | | | | | | % 51.31/8.28 | | | | | | | | | | | | | | | | | | | | ALPHA: (1040) implies: % 51.31/8.28 | | | | | | | | | | | | | | | | | | | | (1041) product(all_410_0, all_8_6) = all_587_0 % 51.31/8.28 | | | | | | | | | | | | | | | | | | | | % 51.31/8.28 | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (962) with fresh symbols all_589_0, % 51.31/8.28 | | | | | | | | | | | | | | | | | | | | all_589_1 gives: % 51.31/8.28 | | | | | | | | | | | | | | | | | | | | (1042) r(all_410_0, all_8_6) = all_589_0 & % 51.31/8.28 | | | | | | | | | | | | | | | | | | | | product(all_410_0, all_8_6) = all_589_1 & % 51.31/8.28 | | | | | | | | | | | | | | | | | | | | $i(all_589_1) & ( ~ (all_589_1 = all_8_6) | % 51.31/8.28 | | | | | | | | | | | | | | | | | | | | all_589_0 = 0) % 51.31/8.28 | | | | | | | | | | | | | | | | | | | | % 51.31/8.28 | | | | | | | | | | | | | | | | | | | | ALPHA: (1042) implies: % 51.31/8.28 | | | | | | | | | | | | | | | | | | | | (1043) product(all_410_0, all_8_6) = all_589_1 % 51.31/8.28 | | | | | | | | | | | | | | | | | | | | (1044) ~ (all_589_1 = all_8_6) | all_589_0 = 0 % 51.31/8.28 | | | | | | | | | | | | | | | | | | | | % 51.31/8.28 | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (984) with fresh symbols all_593_0, % 51.31/8.28 | | | | | | | | | | | | | | | | | | | | all_593_1 gives: % 51.31/8.28 | | | | | | | | | | | | | | | | | | | | (1045) l(all_410_0, all_8_6) = all_593_1 & % 51.31/8.28 | | | | | | | | | | | | | | | | | | | | product(all_8_6, all_410_0) = all_593_0 & % 51.31/8.28 | | | | | | | | | | | | | | | | | | | | $i(all_593_0) & ( ~ (all_593_1 = 0) | (all_593_0 = % 51.31/8.28 | | | | | | | | | | | | | | | | | | | | all_8_6 & all_410_0 = all_8_6)) % 51.31/8.28 | | | | | | | | | | | | | | | | | | | | % 51.31/8.28 | | | | | | | | | | | | | | | | | | | | ALPHA: (1045) implies: % 51.31/8.28 | | | | | | | | | | | | | | | | | | | | (1046) product(all_8_6, all_410_0) = all_593_0 % 51.31/8.28 | | | | | | | | | | | | | | | | | | | | % 51.31/8.28 | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (982) with fresh symbols all_599_0, % 51.31/8.28 | | | | | | | | | | | | | | | | | | | | all_599_1 gives: % 51.31/8.28 | | | | | | | | | | | | | | | | | | | | (1047) l(all_8_6, all_410_0) = all_599_1 & % 51.31/8.28 | | | | | | | | | | | | | | | | | | | | product(all_8_6, all_410_0) = all_599_0 & % 51.31/8.28 | | | | | | | | | | | | | | | | | | | | $i(all_599_0) & ( ~ (all_599_1 = 0) | (all_599_0 = % 51.31/8.28 | | | | | | | | | | | | | | | | | | | | all_8_6 & all_410_0 = all_8_6)) % 51.31/8.28 | | | | | | | | | | | | | | | | | | | | % 51.31/8.28 | | | | | | | | | | | | | | | | | | | | ALPHA: (1047) implies: % 51.31/8.28 | | | | | | | | | | | | | | | | | | | | (1048) product(all_8_6, all_410_0) = all_599_0 % 51.31/8.28 | | | | | | | | | | | | | | | | | | | | % 51.31/8.28 | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (965) with fresh symbols all_601_0, % 51.31/8.28 | | | | | | | | | | | | | | | | | | | | all_601_1 gives: % 51.31/8.28 | | | | | | | | | | | | | | | | | | | | (1049) l(all_8_6, all_410_0) = all_601_1 & % 51.31/8.28 | | | | | | | | | | | | | | | | | | | | product(all_410_0, all_8_6) = all_601_0 & % 51.31/8.28 | | | | | | | | | | | | | | | | | | | | $i(all_601_0) & ( ~ (all_601_1 = 0) | (all_601_0 = % 51.31/8.28 | | | | | | | | | | | | | | | | | | | | all_8_6 & all_410_0 = all_8_6)) % 51.31/8.28 | | | | | | | | | | | | | | | | | | | | % 51.31/8.28 | | | | | | | | | | | | | | | | | | | | ALPHA: (1049) implies: % 51.31/8.28 | | | | | | | | | | | | | | | | | | | | (1050) product(all_410_0, all_8_6) = all_601_0 % 51.31/8.28 | | | | | | | | | | | | | | | | | | | | % 51.31/8.28 | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (964) with fresh symbols all_605_0, % 51.31/8.28 | | | | | | | | | | | | | | | | | | | | all_605_1 gives: % 51.31/8.28 | | | | | | | | | | | | | | | | | | | | (1051) l(all_410_0, all_8_6) = all_605_1 & % 51.31/8.28 | | | | | | | | | | | | | | | | | | | | product(all_410_0, all_8_6) = all_605_0 & % 51.31/8.28 | | | | | | | | | | | | | | | | | | | | $i(all_605_0) & ( ~ (all_605_1 = 0) | (all_605_0 = % 51.31/8.28 | | | | | | | | | | | | | | | | | | | | all_8_6 & all_410_0 = all_8_6)) % 51.31/8.28 | | | | | | | | | | | | | | | | | | | | % 51.31/8.28 | | | | | | | | | | | | | | | | | | | | ALPHA: (1051) implies: % 51.31/8.28 | | | | | | | | | | | | | | | | | | | | (1052) product(all_410_0, all_8_6) = all_605_0 % 51.31/8.28 | | | | | | | | | | | | | | | | | | | | % 51.31/8.28 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (17) with all_8_2, all_573_0, % 51.31/8.28 | | | | | | | | | | | | | | | | | | | | all_8_3, all_8_6, simplifying with (26), (1035) % 51.31/8.28 | | | | | | | | | | | | | | | | | | | | gives: % 51.31/8.28 | | | | | | | | | | | | | | | | | | | | (1053) all_573_0 = all_8_2 % 51.31/8.28 | | | | | | | | | | | | | | | | | | | | % 51.31/8.28 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (17) with all_8_2, all_537_0, % 51.31/8.28 | | | | | | | | | | | | | | | | | | | | all_8_2, all_8_6, simplifying with (603), (988) % 51.31/8.28 | | | | | | | | | | | | | | | | | | | | gives: % 51.31/8.28 | | | | | | | | | | | | | | | | | | | | (1054) all_537_0 = all_8_2 % 51.31/8.28 | | | | | | | | | | | | | | | | | | | | % 51.31/8.28 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (17) with all_8_1, all_539_0, % 51.31/8.28 | | | | | | | | | | | | | | | | | | | | all_8_1, all_8_6, simplifying with (449), (991) % 51.31/8.28 | | | | | | | | | | | | | | | | | | | | gives: % 51.31/8.28 | | | | | | | | | | | | | | | | | | | | (1055) all_539_0 = all_8_1 % 51.31/8.28 | | | | | | | | | | | | | | | | | | | | % 51.31/8.28 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (17) with all_410_0, all_583_1, % 51.31/8.28 | | | | | | | | | | | | | | | | | | | | all_410_0, all_8_6, simplifying with (958), (1039) % 51.31/8.28 | | | | | | | | | | | | | | | | | | | | gives: % 51.31/8.28 | | | | | | | | | | | | | | | | | | | | (1056) all_583_1 = all_410_0 % 51.31/8.28 | | | | | | | | | | | | | | | | | | | | % 51.31/8.28 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (17) with all_583_1, all_593_0, % 51.31/8.28 | | | | | | | | | | | | | | | | | | | | all_410_0, all_8_6, simplifying with (1039), % 51.31/8.28 | | | | | | | | | | | | | | | | | | | | (1046) gives: % 51.31/8.28 | | | | | | | | | | | | | | | | | | | | (1057) all_593_0 = all_583_1 % 51.31/8.28 | | | | | | | | | | | | | | | | | | | | % 51.31/8.28 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (17) with all_581_0, all_593_0, % 51.31/8.28 | | | | | | | | | | | | | | | | | | | | all_410_0, all_8_6, simplifying with (1037), % 51.31/8.28 | | | | | | | | | | | | | | | | | | | | (1046) gives: % 51.31/8.28 | | | | | | | | | | | | | | | | | | | | (1058) all_593_0 = all_581_0 % 51.31/8.28 | | | | | | | | | | | | | | | | | | | | % 51.31/8.28 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (17) with all_583_1, all_599_0, % 51.31/8.28 | | | | | | | | | | | | | | | | | | | | all_410_0, all_8_6, simplifying with (1039), % 51.31/8.28 | | | | | | | | | | | | | | | | | | | | (1048) gives: % 51.31/8.28 | | | | | | | | | | | | | | | | | | | | (1059) all_599_0 = all_583_1 % 51.31/8.28 | | | | | | | | | | | | | | | | | | | | % 51.31/8.28 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (17) with all_549_0, all_599_0, % 51.31/8.28 | | | | | | | | | | | | | | | | | | | | all_410_0, all_8_6, simplifying with (1007), % 51.31/8.28 | | | | | | | | | | | | | | | | | | | | (1048) gives: % 51.31/8.28 | | | | | | | | | | | | | | | | | | | | (1060) all_599_0 = all_549_0 % 51.31/8.28 | | | | | | | | | | | | | | | | | | | | % 51.31/8.28 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (17) with all_8_3, all_547_0, % 51.31/8.28 | | | | | | | | | | | | | | | | | | | | all_8_6, all_8_5, simplifying with (27), (1004) % 51.31/8.28 | | | | | | | | | | | | | | | | | | | | gives: % 51.31/8.28 | | | | | | | | | | | | | | | | | | | | (1061) all_547_0 = all_8_3 % 51.31/8.28 | | | | | | | | | | | | | | | | | | | | % 51.31/8.28 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (17) with all_541_0, all_547_0, % 51.31/8.28 | | | | | | | | | | | | | | | | | | | | all_8_6, all_8_5, simplifying with (994), (1004) % 51.31/8.28 | | | | | | | | | | | | | | | | | | | | gives: % 51.31/8.28 | | | | | | | | | | | | | | | | | | | | (1062) all_547_0 = all_541_0 % 51.31/8.28 | | | | | | | | | | | | | | | | | | | | % 51.31/8.28 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (17) with all_8_0, all_563_0, % 51.31/8.28 | | | | | | | | | | | | | | | | | | | | all_8_5, all_8_3, simplifying with (158), (1029) % 51.31/8.28 | | | | | | | | | | | | | | | | | | | | gives: % 51.31/8.28 | | | | | | | | | | | | | | | | | | | | (1063) all_563_0 = all_8_0 % 51.31/8.28 | | | | | | | | | | | | | | | | | | | | % 51.31/8.28 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (17) with all_8_1, all_555_0, % 51.31/8.28 | | | | | | | | | | | | | | | | | | | | all_8_5, all_8_1, simplifying with (443), (1016) % 51.31/8.28 | | | | | | | | | | | | | | | | | | | | gives: % 51.31/8.28 | | | | | | | | | | | | | | | | | | | | (1064) all_555_0 = all_8_1 % 51.31/8.28 | | | | | | | | | | | | | | | | | | | | % 51.31/8.28 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (17) with all_8_0, all_557_0, % 51.31/8.28 | | | | | | | | | | | | | | | | | | | | all_8_5, all_8_0, simplifying with (599), (1020) % 51.31/8.28 | | | | | | | | | | | | | | | | | | | | gives: % 51.31/8.28 | | | | | | | | | | | | | | | | | | | | (1065) all_557_0 = all_8_0 % 51.31/8.28 | | | | | | | | | | | | | | | | | | | | % 51.31/8.28 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (17) with all_8_6, all_589_1, % 51.31/8.28 | | | | | | | | | | | | | | | | | | | | all_8_6, all_410_0, simplifying with (959), (1043) % 51.31/8.28 | | | | | | | | | | | | | | | | | | | | gives: % 51.31/8.28 | | | | | | | | | | | | | | | | | | | | (1066) all_589_1 = all_8_6 % 51.31/8.28 | | | | | | | | | | | | | | | | | | | | % 51.31/8.28 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (17) with all_589_1, all_601_0, % 51.31/8.28 | | | | | | | | | | | | | | | | | | | | all_8_6, all_410_0, simplifying with (1043), % 51.31/8.28 | | | | | | | | | | | | | | | | | | | | (1050) gives: % 51.31/8.28 | | | | | | | | | | | | | | | | | | | | (1067) all_601_0 = all_589_1 % 51.31/8.28 | | | | | | | | | | | | | | | | | | | | % 51.31/8.28 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (17) with all_601_0, all_605_0, % 51.31/8.28 | | | | | | | | | | | | | | | | | | | | all_8_6, all_410_0, simplifying with (1050), % 51.31/8.28 | | | | | | | | | | | | | | | | | | | | (1052) gives: % 51.31/8.28 | | | | | | | | | | | | | | | | | | | | (1068) all_605_0 = all_601_0 % 51.31/8.28 | | | | | | | | | | | | | | | | | | | | % 51.31/8.28 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (17) with all_587_0, all_605_0, % 51.31/8.28 | | | | | | | | | | | | | | | | | | | | all_8_6, all_410_0, simplifying with (1041), % 51.31/8.28 | | | | | | | | | | | | | | | | | | | | (1052) gives: % 51.31/8.28 | | | | | | | | | | | | | | | | | | | | (1069) all_605_0 = all_587_0 % 51.31/8.28 | | | | | | | | | | | | | | | | | | | | % 51.31/8.28 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (17) with all_551_0, all_559_0, % 51.31/8.28 | | | | | | | | | | | | | | | | | | | | all_410_0, all_410_0, simplifying with (1010), % 51.31/8.28 | | | | | | | | | | | | | | | | | | | | (1024) gives: % 51.31/8.28 | | | | | | | | | | | | | | | | | | | | (1070) all_559_0 = all_551_0 % 51.31/8.28 | | | | | | | | | | | | | | | | | | | | % 51.31/8.28 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1068), (1069) imply: % 51.31/8.28 | | | | | | | | | | | | | | | | | | | | (1071) all_601_0 = all_587_0 % 51.31/8.28 | | | | | | | | | | | | | | | | | | | | % 51.31/8.28 | | | | | | | | | | | | | | | | | | | | SIMP: (1071) implies: % 51.31/8.28 | | | | | | | | | | | | | | | | | | | | (1072) all_601_0 = all_587_0 % 51.31/8.28 | | | | | | | | | | | | | | | | | | | | % 51.31/8.28 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1067), (1072) imply: % 51.31/8.28 | | | | | | | | | | | | | | | | | | | | (1073) all_589_1 = all_587_0 % 51.31/8.28 | | | | | | | | | | | | | | | | | | | | % 51.31/8.28 | | | | | | | | | | | | | | | | | | | | SIMP: (1073) implies: % 51.31/8.28 | | | | | | | | | | | | | | | | | | | | (1074) all_589_1 = all_587_0 % 51.31/8.28 | | | | | | | | | | | | | | | | | | | | % 51.31/8.28 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1059), (1060) imply: % 51.31/8.28 | | | | | | | | | | | | | | | | | | | | (1075) all_583_1 = all_549_0 % 51.31/8.28 | | | | | | | | | | | | | | | | | | | | % 51.31/8.28 | | | | | | | | | | | | | | | | | | | | SIMP: (1075) implies: % 51.31/8.28 | | | | | | | | | | | | | | | | | | | | (1076) all_583_1 = all_549_0 % 51.31/8.28 | | | | | | | | | | | | | | | | | | | | % 51.31/8.28 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1057), (1058) imply: % 51.31/8.28 | | | | | | | | | | | | | | | | | | | | (1077) all_583_1 = all_581_0 % 51.31/8.28 | | | | | | | | | | | | | | | | | | | | % 51.31/8.28 | | | | | | | | | | | | | | | | | | | | SIMP: (1077) implies: % 51.31/8.28 | | | | | | | | | | | | | | | | | | | | (1078) all_583_1 = all_581_0 % 51.31/8.28 | | | | | | | | | | | | | | | | | | | | % 51.31/8.28 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1066), (1074) imply: % 51.31/8.28 | | | | | | | | | | | | | | | | | | | | (1079) all_587_0 = all_8_6 % 51.31/8.28 | | | | | | | | | | | | | | | | | | | | % 51.31/8.28 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1076), (1078) imply: % 51.31/8.28 | | | | | | | | | | | | | | | | | | | | (1080) all_581_0 = all_549_0 % 51.31/8.28 | | | | | | | | | | | | | | | | | | | | % 51.31/8.28 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1056), (1078) imply: % 51.31/8.28 | | | | | | | | | | | | | | | | | | | | (1081) all_581_0 = all_410_0 % 51.31/8.28 | | | | | | | | | | | | | | | | | | | | % 51.31/8.28 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1080), (1081) imply: % 51.31/8.28 | | | | | | | | | | | | | | | | | | | | (1082) all_549_0 = all_410_0 % 51.31/8.28 | | | | | | | | | | | | | | | | | | | | % 51.31/8.28 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1061), (1062) imply: % 51.31/8.28 | | | | | | | | | | | | | | | | | | | | (1083) all_541_0 = all_8_3 % 51.31/8.28 | | | | | | | | | | | | | | | | | | | | % 51.31/8.28 | | | | | | | | | | | | | | | | | | | | REDUCE: (1021), (1065) imply: % 51.31/8.28 | | | | | | | | | | | | | | | | | | | | (1084) product(all_8_0, all_410_0) = all_8_0 % 51.31/8.28 | | | | | | | | | | | | | | | | | | | | % 51.31/8.28 | | | | | | | | | | | | | | | | | | | | REDUCE: (1017), (1064) imply: % 51.31/8.28 | | | | | | | | | | | | | | | | | | | | (1085) product(all_8_1, all_410_0) = all_8_1 % 51.31/8.28 | | | | | | | | | | | | | | | | | | | | % 51.31/8.28 | | | | | | | | | | | | | | | | | | | | REDUCE: (995), (1083) imply: % 51.31/8.28 | | | | | | | | | | | | | | | | | | | | (1086) product(all_8_3, all_410_0) = all_8_5 % 51.31/8.28 | | | | | | | | | | | | | | | | | | | | % 51.31/8.28 | | | | | | | | | | | | | | | | | | | | REDUCE: (1008), (1082) imply: % 51.31/8.29 | | | | | | | | | | | | | | | | | | | | (1087) product(all_410_0, all_410_0) = all_410_0 % 51.31/8.29 | | | | | | | | | | | | | | | | | | | | % 51.31/8.29 | | | | | | | | | | | | | | | | | | | | REDUCE: (1005), (1061) imply: % 51.31/8.29 | | | | | | | | | | | | | | | | | | | | (1088) product(all_410_0, all_8_3) = all_8_6 % 51.31/8.29 | | | | | | | | | | | | | | | | | | | | % 51.31/8.29 | | | | | | | | | | | | | | | | | | | | REDUCE: (989), (1054) imply: % 51.31/8.29 | | | | | | | | | | | | | | | | | | | | (1089) product(all_410_0, all_8_2) = all_8_2 % 51.31/8.29 | | | | | | | | | | | | | | | | | | | | % 51.31/8.29 | | | | | | | | | | | | | | | | | | | | REDUCE: (1023), (1070) imply: % 51.31/8.29 | | | | | | | | | | | | | | | | | | | | (1090) $i(all_551_0) % 51.31/8.29 | | | | | | | | | | | | | | | | | | | | % 51.31/8.29 | | | | | | | | | | | | | | | | | | | | BETA: splitting (1044) gives: % 51.31/8.29 | | | | | | | | | | | | | | | | | | | | % 51.31/8.29 | | | | | | | | | | | | | | | | | | | | Case 1: % 51.31/8.29 | | | | | | | | | | | | | | | | | | | | | % 51.31/8.29 | | | | | | | | | | | | | | | | | | | | | (1091) ~ (all_589_1 = all_8_6) % 51.31/8.29 | | | | | | | | | | | | | | | | | | | | | % 51.31/8.29 | | | | | | | | | | | | | | | | | | | | | REDUCE: (1066), (1091) imply: % 51.31/8.29 | | | | | | | | | | | | | | | | | | | | | (1092) $false % 51.31/8.29 | | | | | | | | | | | | | | | | | | | | | % 51.31/8.29 | | | | | | | | | | | | | | | | | | | | | CLOSE: (1092) is inconsistent. % 51.31/8.29 | | | | | | | | | | | | | | | | | | | | | % 51.31/8.29 | | | | | | | | | | | | | | | | | | | | Case 2: % 51.31/8.29 | | | | | | | | | | | | | | | | | | | | | % 51.31/8.29 | | | | | | | | | | | | | | | | | | | | | % 51.31/8.29 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (17) with all_545_0, all_8_5, % 51.31/8.29 | | | | | | | | | | | | | | | | | | | | | all_410_0, all_8_3, simplifying with (1002), % 51.31/8.29 | | | | | | | | | | | | | | | | | | | | | (1086) gives: % 51.31/8.29 | | | | | | | | | | | | | | | | | | | | | (1093) all_545_0 = all_8_5 % 51.31/8.29 | | | | | | | | | | | | | | | | | | | | | % 51.31/8.29 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (17) with all_565_0, all_8_1, % 51.31/8.29 | | | | | | | | | | | | | | | | | | | | | all_410_0, all_8_1, simplifying with (1032), % 51.31/8.29 | | | | | | | | | | | | | | | | | | | | | (1085) gives: % 51.31/8.29 | | | | | | | | | | | | | | | | | | | | | (1094) all_565_0 = all_8_1 % 51.31/8.29 | | | | | | | | | | | | | | | | | | | | | % 51.31/8.29 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (17) with all_561_0, all_8_6, % 51.31/8.29 | | | | | | | | | | | | | | | | | | | | | all_8_3, all_410_0, simplifying with (1027), % 51.31/8.29 | | | | | | | | | | | | | | | | | | | | | (1088) gives: % 51.31/8.29 | | | | | | | | | | | | | | | | | | | | | (1095) all_561_0 = all_8_6 % 51.31/8.29 | | | | | | | | | | | | | | | | | | | | | % 51.31/8.29 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (17) with all_551_0, all_410_0, % 51.31/8.29 | | | | | | | | | | | | | | | | | | | | | all_410_0, all_410_0, simplifying with (1010), % 51.31/8.29 | | | | | | | | | | | | | | | | | | | | | (1087) gives: % 51.31/8.29 | | | | | | | | | | | | | | | | | | | | | (1096) all_551_0 = all_410_0 % 51.31/8.29 | | | | | | | | | | | | | | | | | | | | | % 51.31/8.29 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (7) with all_543_0, all_8_5, % 51.31/8.29 | | | | | | | | | | | | | | | | | | | | | all_8_0, simplifying with (22), (997), (998) % 51.31/8.29 | | | | | | | | | | | | | | | | | | | | | gives: % 51.31/8.29 | | | | | | | | | | | | | | | | | | | | | (1097) ? [v0: any] : ? [v1: $i] : (l(all_543_0, % 51.31/8.29 | | | | | | | | | | | | | | | | | | | | | all_8_5) = v0 & product(all_543_0, all_8_5) = % 51.31/8.29 | | | | | | | | | | | | | | | | | | | | | v1 & $i(v1) & ( ~ (v0 = 0) | (v1 = all_543_0 & % 51.31/8.29 | | | | | | | | | | | | | | | | | | | | | all_8_0 = all_8_5))) % 51.31/8.29 | | | | | | | | | | | | | | | | | | | | | % 51.31/8.29 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (1) with all_410_0, all_8_3, % 51.31/8.29 | | | | | | | | | | | | | | | | | | | | | all_8_0, all_8_5, all_8_0, simplifying with (23), % 51.31/8.29 | | | | | | | | | | | | | | | | | | | | | (599), (605), (781), (1086) gives: % 51.31/8.29 | | | | | | | | | | | | | | | | | | | | | (1098) ? [v0: $i] : (product(v0, all_410_0) = all_8_0 & % 51.31/8.29 | | | | | | | | | | | | | | | | | | | | | product(all_8_0, all_8_3) = v0 & $i(v0)) % 51.31/8.29 | | | | | | | | | | | | | | | | | | | | | % 51.31/8.29 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (1) with all_410_0, all_8_3, % 51.31/8.29 | | | | | | | | | | | | | | | | | | | | | all_8_3, all_8_5, all_8_0, simplifying with (23), % 51.31/8.29 | | | | | | | | | | | | | | | | | | | | | (158), (781), (1086) gives: % 51.31/8.29 | | | | | | | | | | | | | | | | | | | | | (1099) ? [v0: $i] : (product(v0, all_410_0) = all_8_0 & % 51.31/8.29 | | | | | | | | | | | | | | | | | | | | | product(all_8_3, all_8_3) = v0 & $i(v0) & % 51.31/8.29 | | | | | | | | | | | | | | | | | | | | | $i(all_8_0)) % 51.31/8.29 | | | | | | | | | | | | | | | | | | | | | % 51.31/8.29 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (13) with all_410_0, all_8_3, % 51.31/8.29 | | | | | | | | | | | | | | | | | | | | | all_8_5, simplifying with (23), (781), (1086) % 51.31/8.29 | | | | | | | | | | | | | | | | | | | | | gives: % 51.31/8.29 | | | | | | | | | | | | | | | | | | | | | (1100) ? [v0: any] : ? [v1: $i] : (r(all_410_0, % 51.31/8.29 | | | | | | | | | | | | | | | | | | | | | all_8_3) = v0 & product(all_410_0, all_8_3) = % 51.31/8.29 | | | | | | | | | | | | | | | | | | | | | v1 & $i(v1) & ( ~ (v0 = 0) | (v1 = all_8_3 & % 51.31/8.29 | | | | | | | | | | | | | | | | | | | | | all_410_0 = all_8_5))) % 51.31/8.29 | | | | | | | | | | | | | | | | | | | | | % 51.31/8.29 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (7) with all_410_0, all_8_3, % 51.31/8.29 | | | | | | | | | | | | | | | | | | | | | all_8_5, simplifying with (23), (781), (1086) % 51.31/8.29 | | | | | | | | | | | | | | | | | | | | | gives: % 51.31/8.29 | | | | | | | | | | | | | | | | | | | | | (1101) ? [v0: any] : ? [v1: $i] : (l(all_410_0, % 51.31/8.29 | | | | | | | | | | | | | | | | | | | | | all_8_3) = v0 & product(all_410_0, all_8_3) = % 51.31/8.29 | | | | | | | | | | | | | | | | | | | | | v1 & $i(v1) & ( ~ (v0 = 0) | (v1 = all_410_0 & % 51.31/8.29 | | | | | | | | | | | | | | | | | | | | | all_8_3 = all_8_5))) % 51.31/8.29 | | | | | | | | | | | | | | | | | | | | | % 51.31/8.29 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (12) with all_8_3, all_410_0, % 51.31/8.29 | | | | | | | | | | | | | | | | | | | | | all_8_5, simplifying with (23), (781), (1086) % 51.31/8.29 | | | | | | | | | | | | | | | | | | | | | gives: % 51.31/8.29 | | | | | | | | | | | | | | | | | | | | | (1102) ? [v0: any] : ? [v1: $i] : (r(all_8_3, % 51.31/8.29 | | | | | | | | | | | | | | | | | | | | | all_410_0) = v0 & product(all_410_0, all_8_3) % 51.31/8.29 | | | | | | | | | | | | | | | | | | | | | = v1 & $i(v1) & ( ~ (v0 = 0) | (v1 = all_8_3 & % 51.31/8.29 | | | | | | | | | | | | | | | | | | | | | all_410_0 = all_8_5))) % 51.31/8.29 | | | | | | | | | | | | | | | | | | | | | % 51.31/8.29 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (6) with all_8_3, all_410_0, % 51.31/8.29 | | | | | | | | | | | | | | | | | | | | | all_8_5, simplifying with (23), (781), (1086) % 51.31/8.29 | | | | | | | | | | | | | | | | | | | | | gives: % 51.31/8.29 | | | | | | | | | | | | | | | | | | | | | (1103) ? [v0: any] : ? [v1: $i] : (l(all_8_3, % 51.31/8.29 | | | | | | | | | | | | | | | | | | | | | all_410_0) = v0 & product(all_410_0, all_8_3) % 51.31/8.29 | | | | | | | | | | | | | | | | | | | | | = v1 & $i(v1) & ( ~ (v0 = 0) | (v1 = all_410_0 & % 51.31/8.29 | | | | | | | | | | | | | | | | | | | | | all_8_3 = all_8_5))) % 51.31/8.29 | | | | | | | | | | | | | | | | | | | | | % 51.31/8.29 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with all_410_0, all_8_3, % 51.31/8.29 | | | | | | | | | | | | | | | | | | | | | all_8_1, all_8_2, all_553_0, simplifying with % 51.31/8.29 | | | | | | | | | | | | | | | | | | | | | (23), (24), (600), (781), (1013) gives: % 51.31/8.29 | | | | | | | | | | | | | | | | | | | | | (1104) ? [v0: $i] : (product(all_8_1, v0) = all_553_0 & % 51.31/8.29 | | | | | | | | | | | | | | | | | | | | | product(all_8_3, all_410_0) = v0 & $i(v0) & % 51.31/8.29 | | | | | | | | | | | | | | | | | | | | | $i(all_553_0)) % 51.31/8.29 | | | | | | | | | | | | | | | | | | | | | % 51.31/8.29 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with all_410_0, all_8_6, % 51.31/8.29 | | | | | | | | | | | | | | | | | | | | | all_8_1, all_8_2, all_553_0, simplifying with % 51.31/8.29 | | | | | | | | | | | | | | | | | | | | | (21), (24), (157), (781), (1013) gives: % 51.31/8.29 | | | | | | | | | | | | | | | | | | | | | (1105) ? [v0: $i] : (product(all_8_1, v0) = all_553_0 & % 51.31/8.29 | | | | | | | | | | | | | | | | | | | | | product(all_8_6, all_410_0) = v0 & $i(v0) & % 51.31/8.29 | | | | | | | | | | | | | | | | | | | | | $i(all_553_0)) % 51.31/8.29 | | | | | | | | | | | | | | | | | | | | | % 51.31/8.29 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with all_410_0, all_8_3, % 51.31/8.29 | | | | | | | | | | | | | | | | | | | | | all_8_6, all_8_2, all_553_0, simplifying with % 51.31/8.29 | | | | | | | | | | | | | | | | | | | | | (21), (23), (26), (781), (1013) gives: % 51.31/8.29 | | | | | | | | | | | | | | | | | | | | | (1106) ? [v0: $i] : (product(all_8_3, all_410_0) = v0 & % 51.31/8.29 | | | | | | | | | | | | | | | | | | | | | product(all_8_6, v0) = all_553_0 & $i(v0) & % 51.31/8.29 | | | | | | | | | | | | | | | | | | | | | $i(all_553_0)) % 51.31/8.29 | | | | | | | | | | | | | | | | | | | | | % 51.31/8.29 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (13) with all_410_0, all_8_2, % 51.31/8.29 | | | | | | | | | | | | | | | | | | | | | all_553_0, simplifying with (604), (781), (1013) % 51.31/8.29 | | | | | | | | | | | | | | | | | | | | | gives: % 51.31/8.29 | | | | | | | | | | | | | | | | | | | | | (1107) ? [v0: any] : ? [v1: $i] : (r(all_410_0, % 51.31/8.29 | | | | | | | | | | | | | | | | | | | | | all_8_2) = v0 & product(all_410_0, all_8_2) = % 51.31/8.29 | | | | | | | | | | | | | | | | | | | | | v1 & $i(v1) & ( ~ (v0 = 0) | (v1 = all_8_2 & % 51.31/8.29 | | | | | | | | | | | | | | | | | | | | | all_553_0 = all_410_0))) % 51.31/8.29 | | | | | | | | | | | | | | | | | | | | | % 51.31/8.29 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (7) with all_410_0, all_8_2, % 51.31/8.29 | | | | | | | | | | | | | | | | | | | | | all_553_0, simplifying with (604), (781), (1013) % 51.31/8.29 | | | | | | | | | | | | | | | | | | | | | gives: % 51.31/8.29 | | | | | | | | | | | | | | | | | | | | | (1108) ? [v0: any] : ? [v1: $i] : (l(all_410_0, % 51.31/8.29 | | | | | | | | | | | | | | | | | | | | | all_8_2) = v0 & product(all_410_0, all_8_2) = % 51.31/8.29 | | | | | | | | | | | | | | | | | | | | | v1 & $i(v1) & ( ~ (v0 = 0) | (v1 = all_410_0 & % 51.31/8.29 | | | | | | | | | | | | | | | | | | | | | all_553_0 = all_8_2))) % 51.31/8.29 | | | | | | | | | | | | | | | | | | | | | % 51.31/8.29 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (12) with all_8_2, all_410_0, % 51.31/8.29 | | | | | | | | | | | | | | | | | | | | | all_553_0, simplifying with (604), (781), (1013) % 51.31/8.29 | | | | | | | | | | | | | | | | | | | | | gives: % 51.31/8.29 | | | | | | | | | | | | | | | | | | | | | (1109) ? [v0: any] : ? [v1: $i] : (r(all_8_2, % 51.31/8.29 | | | | | | | | | | | | | | | | | | | | | all_410_0) = v0 & product(all_410_0, all_8_2) % 51.31/8.29 | | | | | | | | | | | | | | | | | | | | | = v1 & $i(v1) & ( ~ (v0 = 0) | (v1 = all_8_2 & % 51.31/8.29 | | | | | | | | | | | | | | | | | | | | | all_553_0 = all_410_0))) % 51.31/8.29 | | | | | | | | | | | | | | | | | | | | | % 51.31/8.29 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (6) with all_8_2, all_410_0, % 51.31/8.29 | | | | | | | | | | | | | | | | | | | | | all_553_0, simplifying with (604), (781), (1013) % 51.31/8.29 | | | | | | | | | | | | | | | | | | | | | gives: % 51.31/8.29 | | | | | | | | | | | | | | | | | | | | | (1110) ? [v0: any] : ? [v1: $i] : (l(all_8_2, % 51.31/8.29 | | | | | | | | | | | | | | | | | | | | | all_410_0) = v0 & product(all_410_0, all_8_2) % 51.31/8.29 | | | | | | | | | | | | | | | | | | | | | = v1 & $i(v1) & ( ~ (v0 = 0) | (v1 = all_410_0 & % 51.31/8.29 | | | | | | | | | | | | | | | | | | | | | all_553_0 = all_8_2))) % 51.31/8.29 | | | | | | | | | | | | | | | | | | | | | % 51.31/8.29 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (1) with all_410_0, all_8_6, % 51.31/8.29 | | | | | | | | | | | | | | | | | | | | | all_8_0, all_410_0, all_8_0, simplifying with % 51.31/8.29 | | | | | | | | | | | | | | | | | | | | | (21), (605), (781), (958), (1084) gives: % 51.31/8.29 | | | | | | | | | | | | | | | | | | | | | (1111) ? [v0: $i] : (product(v0, all_410_0) = all_8_0 & % 51.31/8.29 | | | | | | | | | | | | | | | | | | | | | product(all_8_0, all_8_6) = v0 & $i(v0)) % 51.31/8.29 | | | | | | | | | | | | | | | | | | | | | % 51.31/8.29 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with all_8_1, all_8_3, % 51.31/8.29 | | | | | | | | | | | | | | | | | | | | | all_410_0, all_8_6, all_8_1, simplifying with % 51.31/8.29 | | | | | | | | | | | | | | | | | | | | | (23), (24), (449), (781), (1088) gives: % 51.31/8.29 | | | | | | | | | | | | | | | | | | | | | (1112) ? [v0: $i] : (product(all_410_0, v0) = all_8_1 & % 51.31/8.29 | | | | | | | | | | | | | | | | | | | | | product(all_8_3, all_8_1) = v0 & $i(v0)) % 51.31/8.29 | | | | | | | | | | | | | | | | | | | | | % 51.31/8.29 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with all_8_3, all_8_3, % 51.31/8.29 | | | | | | | | | | | | | | | | | | | | | all_410_0, all_8_6, all_8_2, simplifying with % 51.31/8.29 | | | | | | | | | | | | | | | | | | | | | (23), (26), (781), (1088) gives: % 51.31/8.29 | | | | | | | | | | | | | | | | | | | | | (1113) ? [v0: $i] : (product(all_410_0, v0) = all_8_2 & % 51.31/8.29 | | | | | | | | | | | | | | | | | | | | | product(all_8_3, all_8_3) = v0 & $i(v0) & % 51.31/8.29 | | | | | | | | | | | | | | | | | | | | | $i(all_8_2)) % 51.31/8.29 | | | | | | | | | | | | | | | | | | | | | % 51.31/8.29 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (13) with all_8_3, all_410_0, % 51.31/8.29 | | | | | | | | | | | | | | | | | | | | | all_8_6, simplifying with (23), (781), (1088) % 51.31/8.29 | | | | | | | | | | | | | | | | | | | | | gives: % 51.31/8.29 | | | | | | | | | | | | | | | | | | | | | (1114) ? [v0: any] : ? [v1: $i] : (r(all_8_3, % 51.31/8.29 | | | | | | | | | | | | | | | | | | | | | all_410_0) = v0 & product(all_8_3, all_410_0) % 51.31/8.29 | | | | | | | | | | | | | | | | | | | | | = v1 & $i(v1) & ( ~ (v0 = 0) | (v1 = all_410_0 & % 51.31/8.29 | | | | | | | | | | | | | | | | | | | | | all_8_3 = all_8_6))) % 51.31/8.29 | | | | | | | | | | | | | | | | | | | | | % 51.31/8.29 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (7) with all_8_3, all_410_0, % 51.31/8.29 | | | | | | | | | | | | | | | | | | | | | all_8_6, simplifying with (23), (781), (1088) % 51.31/8.29 | | | | | | | | | | | | | | | | | | | | | gives: % 51.31/8.29 | | | | | | | | | | | | | | | | | | | | | (1115) ? [v0: any] : ? [v1: $i] : (l(all_8_3, % 51.31/8.29 | | | | | | | | | | | | | | | | | | | | | all_410_0) = v0 & product(all_8_3, all_410_0) % 51.31/8.29 | | | | | | | | | | | | | | | | | | | | | = v1 & $i(v1) & ( ~ (v0 = 0) | (v1 = all_8_3 & % 51.31/8.29 | | | | | | | | | | | | | | | | | | | | | all_410_0 = all_8_6))) % 51.31/8.29 | | | | | | | | | | | | | | | | | | | | | % 51.31/8.29 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (12) with all_410_0, all_8_3, % 51.31/8.29 | | | | | | | | | | | | | | | | | | | | | all_8_6, simplifying with (23), (781), (1088) % 51.31/8.29 | | | | | | | | | | | | | | | | | | | | | gives: % 51.31/8.30 | | | | | | | | | | | | | | | | | | | | | (1116) ? [v0: any] : ? [v1: $i] : (r(all_410_0, % 51.31/8.30 | | | | | | | | | | | | | | | | | | | | | all_8_3) = v0 & product(all_8_3, all_410_0) = % 51.31/8.30 | | | | | | | | | | | | | | | | | | | | | v1 & $i(v1) & ( ~ (v0 = 0) | (v1 = all_410_0 & % 51.31/8.30 | | | | | | | | | | | | | | | | | | | | | all_8_3 = all_8_6))) % 51.31/8.30 | | | | | | | | | | | | | | | | | | | | | % 51.31/8.30 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (6) with all_410_0, all_8_3, % 51.31/8.30 | | | | | | | | | | | | | | | | | | | | | all_8_6, simplifying with (23), (781), (1088) % 51.31/8.30 | | | | | | | | | | | | | | | | | | | | | gives: % 51.31/8.30 | | | | | | | | | | | | | | | | | | | | | (1117) ? [v0: any] : ? [v1: $i] : (l(all_410_0, % 51.31/8.30 | | | | | | | | | | | | | | | | | | | | | all_8_3) = v0 & product(all_8_3, all_410_0) = % 51.31/8.30 | | | | | | | | | | | | | | | | | | | | | v1 & $i(v1) & ( ~ (v0 = 0) | (v1 = all_8_3 & % 51.31/8.30 | | | | | | | | | | | | | | | | | | | | | all_410_0 = all_8_6))) % 51.31/8.30 | | | | | | | | | | | | | | | | | | | | | % 51.31/8.30 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (1) with all_8_1, all_8_3, % 51.31/8.30 | | | | | | | | | | | | | | | | | | | | | all_410_0, all_8_0, all_543_0, simplifying with % 51.31/8.30 | | | | | | | | | | | | | | | | | | | | | (23), (24), (601), (781), (999) gives: % 51.31/8.30 | | | | | | | | | | | | | | | | | | | | | (1118) ? [v0: $i] : (product(v0, all_8_1) = all_543_0 & % 51.31/8.30 | | | | | | | | | | | | | | | | | | | | | product(all_410_0, all_8_3) = v0 & $i(v0) & % 51.31/8.30 | | | | | | | | | | | | | | | | | | | | | $i(all_543_0)) % 51.31/8.30 | | | | | | | | | | | | | | | | | | | | | % 51.31/8.30 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (1) with all_8_5, all_8_3, % 51.31/8.30 | | | | | | | | | | | | | | | | | | | | | all_410_0, all_8_0, all_543_0, simplifying with % 51.31/8.30 | | | | | | | | | | | | | | | | | | | | | (22), (23), (158), (781), (999) gives: % 51.31/8.30 | | | | | | | | | | | | | | | | | | | | | (1119) ? [v0: $i] : (product(v0, all_8_5) = all_543_0 & % 51.31/8.30 | | | | | | | | | | | | | | | | | | | | | product(all_410_0, all_8_3) = v0 & $i(v0) & % 51.31/8.30 | | | | | | | | | | | | | | | | | | | | | $i(all_543_0)) % 51.31/8.30 | | | | | | | | | | | | | | | | | | | | | % 51.31/8.30 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (13) with all_8_0, all_410_0, % 51.31/8.30 | | | | | | | | | | | | | | | | | | | | | all_543_0, simplifying with (605), (781), (999) % 51.31/8.30 | | | | | | | | | | | | | | | | | | | | | gives: % 51.31/8.30 | | | | | | | | | | | | | | | | | | | | | (1120) ? [v0: any] : ? [v1: $i] : (r(all_8_0, % 51.31/8.30 | | | | | | | | | | | | | | | | | | | | | all_410_0) = v0 & product(all_8_0, all_410_0) % 51.31/8.30 | | | | | | | | | | | | | | | | | | | | | = v1 & $i(v1) & ( ~ (v0 = 0) | (v1 = all_410_0 & % 51.31/8.30 | | | | | | | | | | | | | | | | | | | | | all_543_0 = all_8_0))) % 51.31/8.30 | | | | | | | | | | | | | | | | | | | | | % 51.31/8.30 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (7) with all_8_0, all_410_0, % 51.31/8.30 | | | | | | | | | | | | | | | | | | | | | all_543_0, simplifying with (605), (781), (999) % 51.31/8.30 | | | | | | | | | | | | | | | | | | | | | gives: % 51.31/8.30 | | | | | | | | | | | | | | | | | | | | | (1121) ? [v0: any] : ? [v1: $i] : (l(all_8_0, % 51.31/8.30 | | | | | | | | | | | | | | | | | | | | | all_410_0) = v0 & product(all_8_0, all_410_0) % 51.31/8.30 | | | | | | | | | | | | | | | | | | | | | = v1 & $i(v1) & ( ~ (v0 = 0) | (v1 = all_8_0 & % 51.31/8.30 | | | | | | | | | | | | | | | | | | | | | all_543_0 = all_410_0))) % 51.31/8.30 | | | | | | | | | | | | | | | | | | | | | % 51.31/8.30 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (12) with all_410_0, all_8_0, % 51.31/8.30 | | | | | | | | | | | | | | | | | | | | | all_543_0, simplifying with (605), (781), (999) % 51.31/8.30 | | | | | | | | | | | | | | | | | | | | | gives: % 51.31/8.30 | | | | | | | | | | | | | | | | | | | | | (1122) ? [v0: any] : ? [v1: $i] : (r(all_410_0, % 51.31/8.30 | | | | | | | | | | | | | | | | | | | | | all_8_0) = v0 & product(all_8_0, all_410_0) = % 51.31/8.30 | | | | | | | | | | | | | | | | | | | | | v1 & $i(v1) & ( ~ (v0 = 0) | (v1 = all_410_0 & % 51.31/8.30 | | | | | | | | | | | | | | | | | | | | | all_543_0 = all_8_0))) % 51.31/8.30 | | | | | | | | | | | | | | | | | | | | | % 51.31/8.30 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (6) with all_410_0, all_8_0, % 51.31/8.30 | | | | | | | | | | | | | | | | | | | | | all_543_0, simplifying with (605), (781), (999) % 51.31/8.30 | | | | | | | | | | | | | | | | | | | | | gives: % 51.31/8.30 | | | | | | | | | | | | | | | | | | | | | (1123) ? [v0: any] : ? [v1: $i] : (l(all_410_0, % 51.31/8.30 | | | | | | | | | | | | | | | | | | | | | all_8_0) = v0 & product(all_8_0, all_410_0) = % 51.31/8.30 | | | | | | | | | | | | | | | | | | | | | v1 & $i(v1) & ( ~ (v0 = 0) | (v1 = all_8_0 & % 51.31/8.30 | | | | | | | | | | | | | | | | | | | | | all_543_0 = all_410_0))) % 51.31/8.30 | | | | | | | | | | | | | | | | | | | | | % 51.31/8.30 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with all_410_0, all_8_6, % 51.31/8.30 | | | | | | | | | | | | | | | | | | | | | all_553_0, all_8_2, all_553_0, simplifying with % 51.31/8.30 | | | | | | | | | | | | | | | | | | | | | (21), (781), (1012), (1013), (1014) gives: % 51.31/8.30 | | | | | | | | | | | | | | | | | | | | | (1124) ? [v0: $i] : (product(all_553_0, v0) = all_553_0 % 51.31/8.30 | | | | | | | | | | | | | | | | | | | | | & product(all_8_6, all_410_0) = v0 & $i(v0)) % 51.31/8.30 | | | | | | | | | | | | | | | | | | | | | % 51.31/8.30 | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (1124) with fresh symbol all_628_0 % 51.31/8.30 | | | | | | | | | | | | | | | | | | | | | gives: % 51.31/8.30 | | | | | | | | | | | | | | | | | | | | | (1125) product(all_553_0, all_628_0) = all_553_0 & % 51.31/8.30 | | | | | | | | | | | | | | | | | | | | | product(all_8_6, all_410_0) = all_628_0 & % 51.31/8.30 | | | | | | | | | | | | | | | | | | | | | $i(all_628_0) % 51.31/8.30 | | | | | | | | | | | | | | | | | | | | | % 51.31/8.30 | | | | | | | | | | | | | | | | | | | | | ALPHA: (1125) implies: % 51.31/8.30 | | | | | | | | | | | | | | | | | | | | | (1126) $i(all_628_0) % 51.31/8.30 | | | | | | | | | | | | | | | | | | | | | (1127) product(all_8_6, all_410_0) = all_628_0 % 51.31/8.30 | | | | | | | | | | | | | | | | | | | | | % 51.31/8.30 | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (1098) with fresh symbol all_642_0 % 51.31/8.30 | | | | | | | | | | | | | | | | | | | | | gives: % 51.31/8.30 | | | | | | | | | | | | | | | | | | | | | (1128) product(all_642_0, all_410_0) = all_8_0 & % 51.31/8.30 | | | | | | | | | | | | | | | | | | | | | product(all_8_0, all_8_3) = all_642_0 & % 51.31/8.30 | | | | | | | | | | | | | | | | | | | | | $i(all_642_0) % 51.31/8.30 | | | | | | | | | | | | | | | | | | | | | % 51.31/8.30 | | | | | | | | | | | | | | | | | | | | | ALPHA: (1128) implies: % 51.31/8.30 | | | | | | | | | | | | | | | | | | | | | (1129) $i(all_642_0) % 51.31/8.30 | | | | | | | | | | | | | | | | | | | | | (1130) product(all_8_0, all_8_3) = all_642_0 % 51.31/8.30 | | | | | | | | | | | | | | | | | | | | | (1131) product(all_642_0, all_410_0) = all_8_0 % 51.31/8.30 | | | | | | | | | | | | | | | | | | | | | % 51.31/8.30 | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (1112) with fresh symbol all_644_0 % 51.31/8.30 | | | | | | | | | | | | | | | | | | | | | gives: % 51.31/8.30 | | | | | | | | | | | | | | | | | | | | | (1132) product(all_410_0, all_644_0) = all_8_1 & % 51.31/8.30 | | | | | | | | | | | | | | | | | | | | | product(all_8_3, all_8_1) = all_644_0 & % 51.31/8.30 | | | | | | | | | | | | | | | | | | | | | $i(all_644_0) % 51.31/8.30 | | | | | | | | | | | | | | | | | | | | | % 51.31/8.30 | | | | | | | | | | | | | | | | | | | | | ALPHA: (1132) implies: % 51.31/8.30 | | | | | | | | | | | | | | | | | | | | | (1133) product(all_8_3, all_8_1) = all_644_0 % 51.31/8.30 | | | | | | | | | | | | | | | | | | | | | % 51.31/8.30 | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (1111) with fresh symbol all_648_0 % 51.31/8.30 | | | | | | | | | | | | | | | | | | | | | gives: % 51.31/8.30 | | | | | | | | | | | | | | | | | | | | | (1134) product(all_648_0, all_410_0) = all_8_0 & % 51.31/8.30 | | | | | | | | | | | | | | | | | | | | | product(all_8_0, all_8_6) = all_648_0 & % 51.31/8.30 | | | | | | | | | | | | | | | | | | | | | $i(all_648_0) % 51.31/8.30 | | | | | | | | | | | | | | | | | | | | | % 51.31/8.30 | | | | | | | | | | | | | | | | | | | | | ALPHA: (1134) implies: % 51.31/8.30 | | | | | | | | | | | | | | | | | | | | | (1135) $i(all_648_0) % 51.31/8.30 | | | | | | | | | | | | | | | | | | | | | (1136) product(all_648_0, all_410_0) = all_8_0 % 51.31/8.30 | | | | | | | | | | | | | | | | | | | | | % 51.31/8.30 | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (1106) with fresh symbol all_652_0 % 51.31/8.30 | | | | | | | | | | | | | | | | | | | | | gives: % 51.31/8.30 | | | | | | | | | | | | | | | | | | | | | (1137) product(all_8_3, all_410_0) = all_652_0 & % 51.31/8.30 | | | | | | | | | | | | | | | | | | | | | product(all_8_6, all_652_0) = all_553_0 & % 51.31/8.30 | | | | | | | | | | | | | | | | | | | | | $i(all_652_0) & $i(all_553_0) % 51.31/8.30 | | | | | | | | | | | | | | | | | | | | | % 51.31/8.30 | | | | | | | | | | | | | | | | | | | | | ALPHA: (1137) implies: % 51.31/8.30 | | | | | | | | | | | | | | | | | | | | | (1138) product(all_8_3, all_410_0) = all_652_0 % 51.31/8.30 | | | | | | | | | | | | | | | | | | | | | % 51.31/8.30 | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (1105) with fresh symbol all_656_0 % 51.31/8.30 | | | | | | | | | | | | | | | | | | | | | gives: % 51.31/8.30 | | | | | | | | | | | | | | | | | | | | | (1139) product(all_8_1, all_656_0) = all_553_0 & % 51.31/8.30 | | | | | | | | | | | | | | | | | | | | | product(all_8_6, all_410_0) = all_656_0 & % 51.31/8.30 | | | | | | | | | | | | | | | | | | | | | $i(all_656_0) & $i(all_553_0) % 51.31/8.30 | | | | | | | | | | | | | | | | | | | | | % 51.31/8.30 | | | | | | | | | | | | | | | | | | | | | ALPHA: (1139) implies: % 51.31/8.30 | | | | | | | | | | | | | | | | | | | | | (1140) product(all_8_6, all_410_0) = all_656_0 % 51.31/8.30 | | | | | | | | | | | | | | | | | | | | | % 51.31/8.30 | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (1118) with fresh symbol all_662_0 % 51.31/8.30 | | | | | | | | | | | | | | | | | | | | | gives: % 51.31/8.30 | | | | | | | | | | | | | | | | | | | | | (1141) product(all_662_0, all_8_1) = all_543_0 & % 51.31/8.30 | | | | | | | | | | | | | | | | | | | | | product(all_410_0, all_8_3) = all_662_0 & % 51.31/8.30 | | | | | | | | | | | | | | | | | | | | | $i(all_662_0) & $i(all_543_0) % 51.31/8.30 | | | | | | | | | | | | | | | | | | | | | % 51.31/8.30 | | | | | | | | | | | | | | | | | | | | | ALPHA: (1141) implies: % 51.31/8.30 | | | | | | | | | | | | | | | | | | | | | (1142) product(all_410_0, all_8_3) = all_662_0 % 51.31/8.30 | | | | | | | | | | | | | | | | | | | | | % 51.31/8.30 | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (1113) with fresh symbol all_678_0 % 51.31/8.30 | | | | | | | | | | | | | | | | | | | | | gives: % 51.31/8.30 | | | | | | | | | | | | | | | | | | | | | (1143) product(all_410_0, all_678_0) = all_8_2 & % 51.31/8.30 | | | | | | | | | | | | | | | | | | | | | product(all_8_3, all_8_3) = all_678_0 & % 51.31/8.30 | | | | | | | | | | | | | | | | | | | | | $i(all_678_0) & $i(all_8_2) % 51.31/8.30 | | | | | | | | | | | | | | | | | | | | | % 51.31/8.30 | | | | | | | | | | | | | | | | | | | | | ALPHA: (1143) implies: % 51.31/8.30 | | | | | | | | | | | | | | | | | | | | | (1144) product(all_8_3, all_8_3) = all_678_0 % 51.31/8.30 | | | | | | | | | | | | | | | | | | | | | (1145) product(all_410_0, all_678_0) = all_8_2 % 51.31/8.30 | | | | | | | | | | | | | | | | | | | | | % 51.31/8.30 | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (1099) with fresh symbol all_680_0 % 51.31/8.30 | | | | | | | | | | | | | | | | | | | | | gives: % 51.31/8.30 | | | | | | | | | | | | | | | | | | | | | (1146) product(all_680_0, all_410_0) = all_8_0 & % 51.31/8.30 | | | | | | | | | | | | | | | | | | | | | product(all_8_3, all_8_3) = all_680_0 & % 51.31/8.30 | | | | | | | | | | | | | | | | | | | | | $i(all_680_0) & $i(all_8_0) % 51.31/8.30 | | | | | | | | | | | | | | | | | | | | | % 51.31/8.30 | | | | | | | | | | | | | | | | | | | | | ALPHA: (1146) implies: % 51.31/8.30 | | | | | | | | | | | | | | | | | | | | | (1147) $i(all_680_0) % 51.31/8.30 | | | | | | | | | | | | | | | | | | | | | (1148) product(all_8_3, all_8_3) = all_680_0 % 51.31/8.30 | | | | | | | | | | | | | | | | | | | | | (1149) product(all_680_0, all_410_0) = all_8_0 % 51.31/8.30 | | | | | | | | | | | | | | | | | | | | | % 51.31/8.30 | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (1119) with fresh symbol all_684_0 % 51.31/8.30 | | | | | | | | | | | | | | | | | | | | | gives: % 51.31/8.30 | | | | | | | | | | | | | | | | | | | | | (1150) product(all_684_0, all_8_5) = all_543_0 & % 51.31/8.30 | | | | | | | | | | | | | | | | | | | | | product(all_410_0, all_8_3) = all_684_0 & % 51.31/8.30 | | | | | | | | | | | | | | | | | | | | | $i(all_684_0) & $i(all_543_0) % 51.31/8.30 | | | | | | | | | | | | | | | | | | | | | % 51.31/8.30 | | | | | | | | | | | | | | | | | | | | | ALPHA: (1150) implies: % 51.31/8.30 | | | | | | | | | | | | | | | | | | | | | (1151) product(all_410_0, all_8_3) = all_684_0 % 51.31/8.30 | | | | | | | | | | | | | | | | | | | | | % 51.31/8.30 | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (1104) with fresh symbol all_688_0 % 51.31/8.30 | | | | | | | | | | | | | | | | | | | | | gives: % 51.31/8.30 | | | | | | | | | | | | | | | | | | | | | (1152) product(all_8_1, all_688_0) = all_553_0 & % 51.31/8.30 | | | | | | | | | | | | | | | | | | | | | product(all_8_3, all_410_0) = all_688_0 & % 51.31/8.30 | | | | | | | | | | | | | | | | | | | | | $i(all_688_0) & $i(all_553_0) % 51.31/8.30 | | | | | | | | | | | | | | | | | | | | | % 51.31/8.30 | | | | | | | | | | | | | | | | | | | | | ALPHA: (1152) implies: % 51.31/8.30 | | | | | | | | | | | | | | | | | | | | | (1153) product(all_8_3, all_410_0) = all_688_0 % 51.31/8.30 | | | | | | | | | | | | | | | | | | | | | % 51.31/8.30 | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (1110) with fresh symbols all_746_0, % 51.31/8.30 | | | | | | | | | | | | | | | | | | | | | all_746_1 gives: % 51.31/8.30 | | | | | | | | | | | | | | | | | | | | | (1154) l(all_8_2, all_410_0) = all_746_1 & % 51.31/8.30 | | | | | | | | | | | | | | | | | | | | | product(all_410_0, all_8_2) = all_746_0 & % 51.31/8.30 | | | | | | | | | | | | | | | | | | | | | $i(all_746_0) & ( ~ (all_746_1 = 0) | (all_746_0 = % 51.31/8.30 | | | | | | | | | | | | | | | | | | | | | all_410_0 & all_553_0 = all_8_2)) % 51.31/8.30 | | | | | | | | | | | | | | | | | | | | | % 51.31/8.30 | | | | | | | | | | | | | | | | | | | | | ALPHA: (1154) implies: % 51.31/8.30 | | | | | | | | | | | | | | | | | | | | | (1155) product(all_410_0, all_8_2) = all_746_0 % 51.31/8.30 | | | | | | | | | | | | | | | | | | | | | % 51.31/8.30 | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (1116) with fresh symbols all_748_0, % 51.31/8.30 | | | | | | | | | | | | | | | | | | | | | all_748_1 gives: % 51.31/8.30 | | | | | | | | | | | | | | | | | | | | | (1156) r(all_410_0, all_8_3) = all_748_1 & % 51.31/8.30 | | | | | | | | | | | | | | | | | | | | | product(all_8_3, all_410_0) = all_748_0 & % 51.31/8.30 | | | | | | | | | | | | | | | | | | | | | $i(all_748_0) & ( ~ (all_748_1 = 0) | (all_748_0 = % 51.31/8.30 | | | | | | | | | | | | | | | | | | | | | all_410_0 & all_8_3 = all_8_6)) % 51.31/8.30 | | | | | | | | | | | | | | | | | | | | | % 51.31/8.30 | | | | | | | | | | | | | | | | | | | | | ALPHA: (1156) implies: % 51.31/8.30 | | | | | | | | | | | | | | | | | | | | | (1157) product(all_8_3, all_410_0) = all_748_0 % 51.31/8.30 | | | | | | | | | | | | | | | | | | | | | % 51.31/8.30 | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (1097) with fresh symbols all_750_0, % 51.31/8.30 | | | | | | | | | | | | | | | | | | | | | all_750_1 gives: % 51.31/8.30 | | | | | | | | | | | | | | | | | | | | | (1158) l(all_543_0, all_8_5) = all_750_1 & % 51.31/8.30 | | | | | | | | | | | | | | | | | | | | | product(all_543_0, all_8_5) = all_750_0 & % 51.31/8.30 | | | | | | | | | | | | | | | | | | | | | $i(all_750_0) & ( ~ (all_750_1 = 0) | (all_750_0 = % 51.31/8.30 | | | | | | | | | | | | | | | | | | | | | all_543_0 & all_8_0 = all_8_5)) % 51.31/8.30 | | | | | | | | | | | | | | | | | | | | | % 51.31/8.30 | | | | | | | | | | | | | | | | | | | | | ALPHA: (1158) implies: % 51.31/8.30 | | | | | | | | | | | | | | | | | | | | | (1159) ~ (all_750_1 = 0) | (all_750_0 = all_543_0 & % 51.31/8.30 | | | | | | | | | | | | | | | | | | | | | all_8_0 = all_8_5) % 51.31/8.30 | | | | | | | | | | | | | | | | | | | | | % 51.31/8.30 | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (1109) with fresh symbols all_752_0, % 51.31/8.30 | | | | | | | | | | | | | | | | | | | | | all_752_1 gives: % 51.31/8.30 | | | | | | | | | | | | | | | | | | | | | (1160) r(all_8_2, all_410_0) = all_752_1 & % 51.31/8.30 | | | | | | | | | | | | | | | | | | | | | product(all_410_0, all_8_2) = all_752_0 & % 51.31/8.30 | | | | | | | | | | | | | | | | | | | | | $i(all_752_0) & ( ~ (all_752_1 = 0) | (all_752_0 = % 51.31/8.30 | | | | | | | | | | | | | | | | | | | | | all_8_2 & all_553_0 = all_410_0)) % 51.31/8.30 | | | | | | | | | | | | | | | | | | | | | % 51.31/8.30 | | | | | | | | | | | | | | | | | | | | | ALPHA: (1160) implies: % 51.31/8.30 | | | | | | | | | | | | | | | | | | | | | (1161) product(all_410_0, all_8_2) = all_752_0 % 51.31/8.30 | | | | | | | | | | | | | | | | | | | | | % 51.31/8.30 | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (1123) with fresh symbols all_758_0, % 51.31/8.30 | | | | | | | | | | | | | | | | | | | | | all_758_1 gives: % 51.31/8.30 | | | | | | | | | | | | | | | | | | | | | (1162) l(all_410_0, all_8_0) = all_758_1 & % 51.31/8.30 | | | | | | | | | | | | | | | | | | | | | product(all_8_0, all_410_0) = all_758_0 & % 51.31/8.30 | | | | | | | | | | | | | | | | | | | | | $i(all_758_0) & ( ~ (all_758_1 = 0) | (all_758_0 = % 51.31/8.30 | | | | | | | | | | | | | | | | | | | | | all_8_0 & all_543_0 = all_410_0)) % 51.31/8.30 | | | | | | | | | | | | | | | | | | | | | % 51.31/8.30 | | | | | | | | | | | | | | | | | | | | | ALPHA: (1162) implies: % 51.31/8.30 | | | | | | | | | | | | | | | | | | | | | (1163) product(all_8_0, all_410_0) = all_758_0 % 51.31/8.30 | | | | | | | | | | | | | | | | | | | | | % 51.31/8.30 | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (1108) with fresh symbols all_764_0, % 51.31/8.30 | | | | | | | | | | | | | | | | | | | | | all_764_1 gives: % 51.31/8.30 | | | | | | | | | | | | | | | | | | | | | (1164) l(all_410_0, all_8_2) = all_764_1 & % 51.31/8.30 | | | | | | | | | | | | | | | | | | | | | product(all_410_0, all_8_2) = all_764_0 & % 51.31/8.30 | | | | | | | | | | | | | | | | | | | | | $i(all_764_0) & ( ~ (all_764_1 = 0) | (all_764_0 = % 51.31/8.30 | | | | | | | | | | | | | | | | | | | | | all_410_0 & all_553_0 = all_8_2)) % 51.31/8.30 | | | | | | | | | | | | | | | | | | | | | % 51.31/8.30 | | | | | | | | | | | | | | | | | | | | | ALPHA: (1164) implies: % 51.31/8.30 | | | | | | | | | | | | | | | | | | | | | (1165) product(all_410_0, all_8_2) = all_764_0 % 51.31/8.30 | | | | | | | | | | | | | | | | | | | | | % 51.31/8.30 | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (1117) with fresh symbols all_768_0, % 51.31/8.30 | | | | | | | | | | | | | | | | | | | | | all_768_1 gives: % 51.31/8.30 | | | | | | | | | | | | | | | | | | | | | (1166) l(all_410_0, all_8_3) = all_768_1 & % 51.31/8.30 | | | | | | | | | | | | | | | | | | | | | product(all_8_3, all_410_0) = all_768_0 & % 51.31/8.31 | | | | | | | | | | | | | | | | | | | | | $i(all_768_0) & ( ~ (all_768_1 = 0) | (all_768_0 = % 51.31/8.31 | | | | | | | | | | | | | | | | | | | | | all_8_3 & all_410_0 = all_8_6)) % 51.31/8.31 | | | | | | | | | | | | | | | | | | | | | % 51.31/8.31 | | | | | | | | | | | | | | | | | | | | | ALPHA: (1166) implies: % 51.31/8.31 | | | | | | | | | | | | | | | | | | | | | (1167) product(all_8_3, all_410_0) = all_768_0 % 51.31/8.31 | | | | | | | | | | | | | | | | | | | | | % 51.31/8.31 | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (1115) with fresh symbols all_774_0, % 51.31/8.31 | | | | | | | | | | | | | | | | | | | | | all_774_1 gives: % 51.31/8.31 | | | | | | | | | | | | | | | | | | | | | (1168) l(all_8_3, all_410_0) = all_774_1 & % 51.31/8.31 | | | | | | | | | | | | | | | | | | | | | product(all_8_3, all_410_0) = all_774_0 & % 51.31/8.31 | | | | | | | | | | | | | | | | | | | | | $i(all_774_0) & ( ~ (all_774_1 = 0) | (all_774_0 = % 51.31/8.31 | | | | | | | | | | | | | | | | | | | | | all_8_3 & all_410_0 = all_8_6)) % 51.31/8.31 | | | | | | | | | | | | | | | | | | | | | % 51.31/8.31 | | | | | | | | | | | | | | | | | | | | | ALPHA: (1168) implies: % 51.31/8.31 | | | | | | | | | | | | | | | | | | | | | (1169) product(all_8_3, all_410_0) = all_774_0 % 51.31/8.31 | | | | | | | | | | | | | | | | | | | | | % 51.31/8.31 | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (1103) with fresh symbols all_780_0, % 51.31/8.31 | | | | | | | | | | | | | | | | | | | | | all_780_1 gives: % 51.31/8.31 | | | | | | | | | | | | | | | | | | | | | (1170) l(all_8_3, all_410_0) = all_780_1 & % 51.31/8.31 | | | | | | | | | | | | | | | | | | | | | product(all_410_0, all_8_3) = all_780_0 & % 51.31/8.31 | | | | | | | | | | | | | | | | | | | | | $i(all_780_0) & ( ~ (all_780_1 = 0) | (all_780_0 = % 51.31/8.31 | | | | | | | | | | | | | | | | | | | | | all_410_0 & all_8_3 = all_8_5)) % 51.31/8.31 | | | | | | | | | | | | | | | | | | | | | % 51.31/8.31 | | | | | | | | | | | | | | | | | | | | | ALPHA: (1170) implies: % 51.31/8.31 | | | | | | | | | | | | | | | | | | | | | (1171) product(all_410_0, all_8_3) = all_780_0 % 51.31/8.31 | | | | | | | | | | | | | | | | | | | | | % 51.31/8.31 | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (1102) with fresh symbols all_782_0, % 51.31/8.31 | | | | | | | | | | | | | | | | | | | | | all_782_1 gives: % 51.31/8.31 | | | | | | | | | | | | | | | | | | | | | (1172) r(all_8_3, all_410_0) = all_782_1 & % 51.31/8.31 | | | | | | | | | | | | | | | | | | | | | product(all_410_0, all_8_3) = all_782_0 & % 51.31/8.31 | | | | | | | | | | | | | | | | | | | | | $i(all_782_0) & ( ~ (all_782_1 = 0) | (all_782_0 = % 51.31/8.31 | | | | | | | | | | | | | | | | | | | | | all_8_3 & all_410_0 = all_8_5)) % 51.31/8.31 | | | | | | | | | | | | | | | | | | | | | % 51.31/8.31 | | | | | | | | | | | | | | | | | | | | | ALPHA: (1172) implies: % 51.31/8.31 | | | | | | | | | | | | | | | | | | | | | (1173) product(all_410_0, all_8_3) = all_782_0 % 51.31/8.31 | | | | | | | | | | | | | | | | | | | | | % 51.31/8.31 | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (1101) with fresh symbols all_786_0, % 51.31/8.31 | | | | | | | | | | | | | | | | | | | | | all_786_1 gives: % 51.31/8.31 | | | | | | | | | | | | | | | | | | | | | (1174) l(all_410_0, all_8_3) = all_786_1 & % 51.31/8.31 | | | | | | | | | | | | | | | | | | | | | product(all_410_0, all_8_3) = all_786_0 & % 51.31/8.31 | | | | | | | | | | | | | | | | | | | | | $i(all_786_0) & ( ~ (all_786_1 = 0) | (all_786_0 = % 51.31/8.31 | | | | | | | | | | | | | | | | | | | | | all_410_0 & all_8_3 = all_8_5)) % 51.31/8.31 | | | | | | | | | | | | | | | | | | | | | % 51.31/8.31 | | | | | | | | | | | | | | | | | | | | | ALPHA: (1174) implies: % 51.31/8.31 | | | | | | | | | | | | | | | | | | | | | (1175) product(all_410_0, all_8_3) = all_786_0 % 51.31/8.31 | | | | | | | | | | | | | | | | | | | | | % 51.31/8.31 | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (1107) with fresh symbols all_788_0, % 51.31/8.31 | | | | | | | | | | | | | | | | | | | | | all_788_1 gives: % 51.31/8.31 | | | | | | | | | | | | | | | | | | | | | (1176) r(all_410_0, all_8_2) = all_788_1 & % 51.31/8.31 | | | | | | | | | | | | | | | | | | | | | product(all_410_0, all_8_2) = all_788_0 & % 51.31/8.31 | | | | | | | | | | | | | | | | | | | | | $i(all_788_0) & ( ~ (all_788_1 = 0) | (all_788_0 = % 51.31/8.31 | | | | | | | | | | | | | | | | | | | | | all_8_2 & all_553_0 = all_410_0)) % 51.31/8.31 | | | | | | | | | | | | | | | | | | | | | % 51.31/8.31 | | | | | | | | | | | | | | | | | | | | | ALPHA: (1176) implies: % 51.31/8.31 | | | | | | | | | | | | | | | | | | | | | (1177) product(all_410_0, all_8_2) = all_788_0 % 51.31/8.31 | | | | | | | | | | | | | | | | | | | | | % 51.31/8.31 | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (1100) with fresh symbols all_790_0, % 51.31/8.31 | | | | | | | | | | | | | | | | | | | | | all_790_1 gives: % 51.31/8.31 | | | | | | | | | | | | | | | | | | | | | (1178) r(all_410_0, all_8_3) = all_790_1 & % 51.31/8.31 | | | | | | | | | | | | | | | | | | | | | product(all_410_0, all_8_3) = all_790_0 & % 51.31/8.31 | | | | | | | | | | | | | | | | | | | | | $i(all_790_0) & ( ~ (all_790_1 = 0) | (all_790_0 = % 51.31/8.31 | | | | | | | | | | | | | | | | | | | | | all_8_3 & all_410_0 = all_8_5)) % 51.31/8.31 | | | | | | | | | | | | | | | | | | | | | % 51.31/8.31 | | | | | | | | | | | | | | | | | | | | | ALPHA: (1178) implies: % 51.31/8.31 | | | | | | | | | | | | | | | | | | | | | (1179) product(all_410_0, all_8_3) = all_790_0 % 51.31/8.31 | | | | | | | | | | | | | | | | | | | | | % 51.31/8.31 | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (1122) with fresh symbols all_800_0, % 51.31/8.31 | | | | | | | | | | | | | | | | | | | | | all_800_1 gives: % 51.31/8.31 | | | | | | | | | | | | | | | | | | | | | (1180) r(all_410_0, all_8_0) = all_800_1 & % 51.31/8.31 | | | | | | | | | | | | | | | | | | | | | product(all_8_0, all_410_0) = all_800_0 & % 51.31/8.31 | | | | | | | | | | | | | | | | | | | | | $i(all_800_0) & ( ~ (all_800_1 = 0) | (all_800_0 = % 51.31/8.31 | | | | | | | | | | | | | | | | | | | | | all_410_0 & all_543_0 = all_8_0)) % 51.31/8.31 | | | | | | | | | | | | | | | | | | | | | % 51.31/8.31 | | | | | | | | | | | | | | | | | | | | | ALPHA: (1180) implies: % 51.31/8.31 | | | | | | | | | | | | | | | | | | | | | (1181) product(all_8_0, all_410_0) = all_800_0 % 51.31/8.31 | | | | | | | | | | | | | | | | | | | | | % 51.31/8.31 | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (1121) with fresh symbols all_802_0, % 51.31/8.31 | | | | | | | | | | | | | | | | | | | | | all_802_1 gives: % 51.31/8.31 | | | | | | | | | | | | | | | | | | | | | (1182) l(all_8_0, all_410_0) = all_802_1 & % 51.31/8.31 | | | | | | | | | | | | | | | | | | | | | product(all_8_0, all_410_0) = all_802_0 & % 51.31/8.31 | | | | | | | | | | | | | | | | | | | | | $i(all_802_0) & ( ~ (all_802_1 = 0) | (all_802_0 = % 51.31/8.31 | | | | | | | | | | | | | | | | | | | | | all_8_0 & all_543_0 = all_410_0)) % 51.31/8.31 | | | | | | | | | | | | | | | | | | | | | % 51.31/8.31 | | | | | | | | | | | | | | | | | | | | | ALPHA: (1182) implies: % 51.31/8.31 | | | | | | | | | | | | | | | | | | | | | (1183) product(all_8_0, all_410_0) = all_802_0 % 51.31/8.31 | | | | | | | | | | | | | | | | | | | | | % 51.31/8.31 | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (1114) with fresh symbols all_804_0, % 51.31/8.31 | | | | | | | | | | | | | | | | | | | | | all_804_1 gives: % 51.31/8.31 | | | | | | | | | | | | | | | | | | | | | (1184) r(all_8_3, all_410_0) = all_804_1 & % 51.31/8.31 | | | | | | | | | | | | | | | | | | | | | product(all_8_3, all_410_0) = all_804_0 & % 51.31/8.31 | | | | | | | | | | | | | | | | | | | | | $i(all_804_0) & ( ~ (all_804_1 = 0) | (all_804_0 = % 51.31/8.31 | | | | | | | | | | | | | | | | | | | | | all_410_0 & all_8_3 = all_8_6)) % 51.31/8.31 | | | | | | | | | | | | | | | | | | | | | % 51.31/8.31 | | | | | | | | | | | | | | | | | | | | | ALPHA: (1184) implies: % 51.31/8.31 | | | | | | | | | | | | | | | | | | | | | (1185) product(all_8_3, all_410_0) = all_804_0 % 51.31/8.31 | | | | | | | | | | | | | | | | | | | | | % 51.31/8.31 | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (1120) with fresh symbols all_806_0, % 51.31/8.31 | | | | | | | | | | | | | | | | | | | | | all_806_1 gives: % 51.31/8.31 | | | | | | | | | | | | | | | | | | | | | (1186) r(all_8_0, all_410_0) = all_806_1 & % 51.31/8.31 | | | | | | | | | | | | | | | | | | | | | product(all_8_0, all_410_0) = all_806_0 & % 51.31/8.31 | | | | | | | | | | | | | | | | | | | | | $i(all_806_0) & ( ~ (all_806_1 = 0) | (all_806_0 = % 51.31/8.31 | | | | | | | | | | | | | | | | | | | | | all_410_0 & all_543_0 = all_8_0)) % 51.31/8.31 | | | | | | | | | | | | | | | | | | | | | % 51.31/8.31 | | | | | | | | | | | | | | | | | | | | | ALPHA: (1186) implies: % 51.31/8.31 | | | | | | | | | | | | | | | | | | | | | (1187) product(all_8_0, all_410_0) = all_806_0 % 51.31/8.31 | | | | | | | | | | | | | | | | | | | | | % 51.31/8.31 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1159) gives: % 51.31/8.31 | | | | | | | | | | | | | | | | | | | | | % 51.31/8.31 | | | | | | | | | | | | | | | | | | | | | Case 1: % 51.31/8.31 | | | | | | | | | | | | | | | | | | | | | | % 51.31/8.31 | | | | | | | | | | | | | | | | | | | | | | % 51.31/8.31 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (17) with all_410_0, all_656_0, % 51.31/8.31 | | | | | | | | | | | | | | | | | | | | | | all_410_0, all_8_6, simplifying with (958), (1140) % 51.31/8.31 | | | | | | | | | | | | | | | | | | | | | | gives: % 51.31/8.31 | | | | | | | | | | | | | | | | | | | | | | (1188) all_656_0 = all_410_0 % 51.31/8.31 | | | | | | | | | | | | | | | | | | | | | | % 51.31/8.31 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (17) with all_628_0, all_656_0, % 51.31/8.31 | | | | | | | | | | | | | | | | | | | | | | all_410_0, all_8_6, simplifying with (1127), % 51.31/8.31 | | | | | | | | | | | | | | | | | | | | | | (1140) gives: % 51.31/8.31 | | | | | | | | | | | | | | | | | | | | | | (1189) all_656_0 = all_628_0 % 51.31/8.31 | | | | | | | | | | | | | | | | | | | | | | % 51.31/8.31 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (17) with all_678_0, all_680_0, % 51.31/8.31 | | | | | | | | | | | | | | | | | | | | | | all_8_3, all_8_3, simplifying with (1144), (1148) % 51.31/8.31 | | | | | | | | | | | | | | | | | | | | | | gives: % 51.31/8.31 | | | | | | | | | | | | | | | | | | | | | | (1190) all_680_0 = all_678_0 % 51.31/8.31 | | | | | | | | | | | | | | | | | | | | | | % 51.31/8.31 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (17) with all_8_0, all_644_0, % 51.31/8.31 | | | | | | | | | | | | | | | | | | | | | | all_8_1, all_8_3, simplifying with (601), (1133) % 51.31/8.31 | | | | | | | | | | | | | | | | | | | | | | gives: % 51.31/8.31 | | | | | | | | | | | | | | | | | | | | | | (1191) all_644_0 = all_8_0 % 51.31/8.31 | | | | | | | | | | | | | | | | | | | | | | % 51.31/8.31 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (17) with all_8_5, all_688_0, % 51.31/8.31 | | | | | | | | | | | | | | | | | | | | | | all_410_0, all_8_3, simplifying with (1086), % 51.31/8.31 | | | | | | | | | | | | | | | | | | | | | | (1153) gives: % 51.31/8.31 | | | | | | | | | | | | | | | | | | | | | | (1192) all_688_0 = all_8_5 % 51.31/8.31 | | | | | | | | | | | | | | | | | | | | | | % 51.31/8.31 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (17) with all_768_0, all_774_0, % 51.31/8.31 | | | | | | | | | | | | | | | | | | | | | | all_410_0, all_8_3, simplifying with (1167), % 51.31/8.31 | | | | | | | | | | | | | | | | | | | | | | (1169) gives: % 51.31/8.31 | | | | | | | | | | | | | | | | | | | | | | (1193) all_774_0 = all_768_0 % 51.31/8.31 | | | | | | | | | | | | | | | | | | | | | | % 51.31/8.31 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (17) with all_688_0, all_774_0, % 51.31/8.31 | | | | | | | | | | | | | | | | | | | | | | all_410_0, all_8_3, simplifying with (1153), % 51.31/8.31 | | | | | | | | | | | | | | | | | | | | | | (1169) gives: % 51.31/8.31 | | | | | | | | | | | | | | | | | | | | | | (1194) all_774_0 = all_688_0 % 51.31/8.31 | | | | | | | | | | | | | | | | | | | | | | % 51.31/8.31 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (17) with all_652_0, all_774_0, % 51.31/8.31 | | | | | | | | | | | | | | | | | | | | | | all_410_0, all_8_3, simplifying with (1138), % 51.31/8.31 | | | | | | | | | | | | | | | | | | | | | | (1169) gives: % 51.31/8.31 | | | | | | | | | | | | | | | | | | | | | | (1195) all_774_0 = all_652_0 % 51.31/8.31 | | | | | | | | | | | | | | | | | | | | | | % 51.31/8.31 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (17) with all_774_0, all_804_0, % 51.31/8.31 | | | | | | | | | | | | | | | | | | | | | | all_410_0, all_8_3, simplifying with (1169), % 51.31/8.31 | | | | | | | | | | | | | | | | | | | | | | (1185) gives: % 51.31/8.31 | | | | | | | | | | | | | | | | | | | | | | (1196) all_804_0 = all_774_0 % 51.31/8.31 | | | | | | | | | | | | | | | | | | | | | | % 51.31/8.31 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (17) with all_748_0, all_804_0, % 51.31/8.31 | | | | | | | | | | | | | | | | | | | | | | all_410_0, all_8_3, simplifying with (1157), % 51.31/8.31 | | | | | | | | | | | | | | | | | | | | | | (1185) gives: % 51.31/8.31 | | | | | | | | | | | | | | | | | | | | | | (1197) all_804_0 = all_748_0 % 51.31/8.31 | | | | | | | | | | | | | | | | | | | | | | % 51.31/8.31 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (17) with all_8_0, all_800_0, % 51.31/8.31 | | | | | | | | | | | | | | | | | | | | | | all_410_0, all_8_0, simplifying with (1084), % 51.31/8.31 | | | | | | | | | | | | | | | | | | | | | | (1181) gives: % 51.31/8.31 | | | | | | | | | | | | | | | | | | | | | | (1198) all_800_0 = all_8_0 % 51.31/8.31 | | | | | | | | | | | | | | | | | | | | | | % 51.31/8.31 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (17) with all_800_0, all_802_0, % 51.31/8.31 | | | | | | | | | | | | | | | | | | | | | | all_410_0, all_8_0, simplifying with (1181), % 51.31/8.31 | | | | | | | | | | | | | | | | | | | | | | (1183) gives: % 51.31/8.31 | | | | | | | | | | | | | | | | | | | | | | (1199) all_802_0 = all_800_0 % 51.31/8.31 | | | | | | | | | | | | | | | | | | | | | | % 51.31/8.31 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (17) with all_802_0, all_806_0, % 51.31/8.31 | | | | | | | | | | | | | | | | | | | | | | all_410_0, all_8_0, simplifying with (1183), % 51.31/8.31 | | | | | | | | | | | | | | | | | | | | | | (1187) gives: % 51.31/8.31 | | | | | | | | | | | | | | | | | | | | | | (1200) all_806_0 = all_802_0 % 51.31/8.31 | | | | | | | | | | | | | | | | | | | | | | % 51.31/8.31 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (17) with all_758_0, all_806_0, % 51.31/8.31 | | | | | | | | | | | | | | | | | | | | | | all_410_0, all_8_0, simplifying with (1163), % 51.31/8.31 | | | | | | | | | | | | | | | | | | | | | | (1187) gives: % 51.31/8.31 | | | | | | | | | | | | | | | | | | | | | | (1201) all_806_0 = all_758_0 % 51.31/8.31 | | | | | | | | | | | | | | | | | | | | | | % 51.31/8.31 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (17) with all_684_0, all_780_0, % 51.31/8.31 | | | | | | | | | | | | | | | | | | | | | | all_8_3, all_410_0, simplifying with (1151), % 51.31/8.31 | | | | | | | | | | | | | | | | | | | | | | (1171) gives: % 51.31/8.31 | | | | | | | | | | | | | | | | | | | | | | (1202) all_780_0 = all_684_0 % 51.31/8.31 | | | | | | | | | | | | | | | | | | | | | | % 51.31/8.31 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (17) with all_780_0, all_782_0, % 51.31/8.31 | | | | | | | | | | | | | | | | | | | | | | all_8_3, all_410_0, simplifying with (1171), % 51.31/8.31 | | | | | | | | | | | | | | | | | | | | | | (1173) gives: % 51.31/8.31 | | | | | | | | | | | | | | | | | | | | | | (1203) all_782_0 = all_780_0 % 51.31/8.31 | | | | | | | | | | | | | | | | | | | | | | % 51.31/8.31 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (17) with all_8_6, all_786_0, % 51.31/8.31 | | | | | | | | | | | | | | | | | | | | | | all_8_3, all_410_0, simplifying with (1088), % 51.31/8.31 | | | | | | | | | | | | | | | | | | | | | | (1175) gives: % 51.31/8.31 | | | | | | | | | | | | | | | | | | | | | | (1204) all_786_0 = all_8_6 % 51.31/8.31 | | | | | | | | | | | | | | | | | | | | | | % 51.31/8.31 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (17) with all_780_0, all_786_0, % 51.31/8.31 | | | | | | | | | | | | | | | | | | | | | | all_8_3, all_410_0, simplifying with (1171), % 51.31/8.31 | | | | | | | | | | | | | | | | | | | | | | (1175) gives: % 51.31/8.31 | | | | | | | | | | | | | | | | | | | | | | (1205) all_786_0 = all_780_0 % 51.31/8.31 | | | | | | | | | | | | | | | | | | | | | | % 51.31/8.31 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (17) with all_782_0, all_790_0, % 51.31/8.31 | | | | | | | | | | | | | | | | | | | | | | all_8_3, all_410_0, simplifying with (1173), % 51.31/8.31 | | | | | | | | | | | | | | | | | | | | | | (1179) gives: % 51.31/8.31 | | | | | | | | | | | | | | | | | | | | | | (1206) all_790_0 = all_782_0 % 51.31/8.31 | | | | | | | | | | | | | | | | | | | | | | % 51.31/8.31 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (17) with all_662_0, all_790_0, % 51.31/8.31 | | | | | | | | | | | | | | | | | | | | | | all_8_3, all_410_0, simplifying with (1142), % 51.31/8.31 | | | | | | | | | | | | | | | | | | | | | | (1179) gives: % 51.31/8.31 | | | | | | | | | | | | | | | | | | | | | | (1207) all_790_0 = all_662_0 % 51.31/8.31 | | | | | | | | | | | | | | | | | | | | | | % 51.31/8.31 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (17) with all_8_2, all_752_0, % 51.31/8.31 | | | | | | | | | | | | | | | | | | | | | | all_8_2, all_410_0, simplifying with (1089), % 51.31/8.31 | | | | | | | | | | | | | | | | | | | | | | (1161) gives: % 51.31/8.31 | | | | | | | | | | | | | | | | | | | | | | (1208) all_752_0 = all_8_2 % 51.31/8.31 | | | | | | | | | | | | | | | | | | | | | | % 51.31/8.31 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (17) with all_764_0, all_788_0, % 51.31/8.31 | | | | | | | | | | | | | | | | | | | | | | all_8_2, all_410_0, simplifying with (1165), % 51.31/8.31 | | | | | | | | | | | | | | | | | | | | | | (1177) gives: % 51.31/8.31 | | | | | | | | | | | | | | | | | | | | | | (1209) all_788_0 = all_764_0 % 51.31/8.31 | | | | | | | | | | | | | | | | | | | | | | % 51.31/8.31 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (17) with all_752_0, all_788_0, % 51.31/8.31 | | | | | | | | | | | | | | | | | | | | | | all_8_2, all_410_0, simplifying with (1161), % 51.31/8.31 | | | | | | | | | | | | | | | | | | | | | | (1177) gives: % 51.31/8.31 | | | | | | | | | | | | | | | | | | | | | | (1210) all_788_0 = all_752_0 % 51.31/8.31 | | | | | | | | | | | | | | | | | | | | | | % 51.31/8.31 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (17) with all_746_0, all_788_0, % 51.31/8.31 | | | | | | | | | | | | | | | | | | | | | | all_8_2, all_410_0, simplifying with (1155), % 51.31/8.31 | | | | | | | | | | | | | | | | | | | | | | (1177) gives: % 51.31/8.31 | | | | | | | | | | | | | | | | | | | | | | (1211) all_788_0 = all_746_0 % 51.31/8.31 | | | | | | | | | | | | | | | | | | | | | | % 51.31/8.31 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1200), (1201) imply: % 51.31/8.31 | | | | | | | | | | | | | | | | | | | | | | (1212) all_802_0 = all_758_0 % 51.31/8.31 | | | | | | | | | | | | | | | | | | | | | | % 51.31/8.31 | | | | | | | | | | | | | | | | | | | | | | SIMP: (1212) implies: % 51.31/8.31 | | | | | | | | | | | | | | | | | | | | | | (1213) all_802_0 = all_758_0 % 51.31/8.31 | | | | | | | | | | | | | | | | | | | | | | % 51.31/8.31 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1196), (1197) imply: % 51.31/8.31 | | | | | | | | | | | | | | | | | | | | | | (1214) all_774_0 = all_748_0 % 51.31/8.31 | | | | | | | | | | | | | | | | | | | | | | % 51.31/8.31 | | | | | | | | | | | | | | | | | | | | | | SIMP: (1214) implies: % 51.31/8.31 | | | | | | | | | | | | | | | | | | | | | | (1215) all_774_0 = all_748_0 % 51.31/8.31 | | | | | | | | | | | | | | | | | | | | | | % 51.31/8.31 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1199), (1213) imply: % 51.31/8.31 | | | | | | | | | | | | | | | | | | | | | | (1216) all_800_0 = all_758_0 % 51.31/8.31 | | | | | | | | | | | | | | | | | | | | | | % 51.31/8.31 | | | | | | | | | | | | | | | | | | | | | | SIMP: (1216) implies: % 51.31/8.31 | | | | | | | | | | | | | | | | | | | | | | (1217) all_800_0 = all_758_0 % 51.31/8.31 | | | | | | | | | | | | | | | | | | | | | | % 51.31/8.31 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1198), (1217) imply: % 51.31/8.31 | | | | | | | | | | | | | | | | | | | | | | (1218) all_758_0 = all_8_0 % 51.31/8.31 | | | | | | | | | | | | | | | | | | | | | | % 51.31/8.31 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1206), (1207) imply: % 51.31/8.31 | | | | | | | | | | | | | | | | | | | | | | (1219) all_782_0 = all_662_0 % 51.31/8.31 | | | | | | | | | | | | | | | | | | | | | | % 51.31/8.31 | | | | | | | | | | | | | | | | | | | | | | SIMP: (1219) implies: % 51.31/8.31 | | | | | | | | | | | | | | | | | | | | | | (1220) all_782_0 = all_662_0 % 51.31/8.31 | | | | | | | | | | | | | | | | | | | | | | % 51.31/8.31 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1209), (1211) imply: % 51.31/8.31 | | | | | | | | | | | | | | | | | | | | | | (1221) all_764_0 = all_746_0 % 51.31/8.31 | | | | | | | | | | | | | | | | | | | | | | % 51.31/8.31 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1209), (1210) imply: % 51.31/8.31 | | | | | | | | | | | | | | | | | | | | | | (1222) all_764_0 = all_752_0 % 51.31/8.31 | | | | | | | | | | | | | | | | | | | | | | % 51.31/8.31 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1204), (1205) imply: % 51.31/8.31 | | | | | | | | | | | | | | | | | | | | | | (1223) all_780_0 = all_8_6 % 51.31/8.31 | | | | | | | | | | | | | | | | | | | | | | % 51.31/8.31 | | | | | | | | | | | | | | | | | | | | | | SIMP: (1223) implies: % 51.31/8.31 | | | | | | | | | | | | | | | | | | | | | | (1224) all_780_0 = all_8_6 % 51.31/8.31 | | | | | | | | | | | | | | | | | | | | | | % 51.31/8.31 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1203), (1220) imply: % 51.31/8.31 | | | | | | | | | | | | | | | | | | | | | | (1225) all_780_0 = all_662_0 % 51.31/8.31 | | | | | | | | | | | | | | | | | | | | | | % 51.31/8.31 | | | | | | | | | | | | | | | | | | | | | | SIMP: (1225) implies: % 51.31/8.31 | | | | | | | | | | | | | | | | | | | | | | (1226) all_780_0 = all_662_0 % 51.31/8.31 | | | | | | | | | | | | | | | | | | | | | | % 51.31/8.31 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1202), (1224) imply: % 51.31/8.31 | | | | | | | | | | | | | | | | | | | | | | (1227) all_684_0 = all_8_6 % 51.31/8.31 | | | | | | | | | | | | | | | | | | | | | | % 51.31/8.31 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1202), (1226) imply: % 51.31/8.31 | | | | | | | | | | | | | | | | | | | | | | (1228) all_684_0 = all_662_0 % 51.31/8.31 | | | | | | | | | | | | | | | | | | | | | | % 51.31/8.31 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1193), (1194) imply: % 51.31/8.31 | | | | | | | | | | | | | | | | | | | | | | (1229) all_768_0 = all_688_0 % 51.31/8.31 | | | | | | | | | | | | | | | | | | | | | | % 51.31/8.31 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1193), (1195) imply: % 51.31/8.31 | | | | | | | | | | | | | | | | | | | | | | (1230) all_768_0 = all_652_0 % 51.31/8.31 | | | | | | | | | | | | | | | | | | | | | | % 51.31/8.31 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1193), (1215) imply: % 51.31/8.31 | | | | | | | | | | | | | | | | | | | | | | (1231) all_768_0 = all_748_0 % 51.31/8.31 | | | | | | | | | | | | | | | | | | | | | | % 51.31/8.31 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1229), (1231) imply: % 51.31/8.31 | | | | | | | | | | | | | | | | | | | | | | (1232) all_748_0 = all_688_0 % 51.31/8.31 | | | | | | | | | | | | | | | | | | | | | | % 51.31/8.31 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1230), (1231) imply: % 51.31/8.31 | | | | | | | | | | | | | | | | | | | | | | (1233) all_748_0 = all_652_0 % 51.31/8.31 | | | | | | | | | | | | | | | | | | | | | | % 51.31/8.31 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1221), (1222) imply: % 51.31/8.31 | | | | | | | | | | | | | | | | | | | | | | (1234) all_752_0 = all_746_0 % 51.31/8.31 | | | | | | | | | | | | | | | | | | | | | | % 51.31/8.31 | | | | | | | | | | | | | | | | | | | | | | SIMP: (1234) implies: % 51.31/8.31 | | | | | | | | | | | | | | | | | | | | | | (1235) all_752_0 = all_746_0 % 51.31/8.31 | | | | | | | | | | | | | | | | | | | | | | % 51.31/8.31 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1208), (1235) imply: % 51.31/8.31 | | | | | | | | | | | | | | | | | | | | | | (1236) all_746_0 = all_8_2 % 51.31/8.31 | | | | | | | | | | | | | | | | | | | | | | % 51.31/8.31 | | | | | | | | | | | | | | | | | | | | | | SIMP: (1236) implies: % 51.31/8.31 | | | | | | | | | | | | | | | | | | | | | | (1237) all_746_0 = all_8_2 % 51.31/8.31 | | | | | | | | | | | | | | | | | | | | | | % 51.31/8.31 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1232), (1233) imply: % 51.31/8.31 | | | | | | | | | | | | | | | | | | | | | | (1238) all_688_0 = all_652_0 % 51.31/8.31 | | | | | | | | | | | | | | | | | | | | | | % 51.31/8.31 | | | | | | | | | | | | | | | | | | | | | | SIMP: (1238) implies: % 51.31/8.31 | | | | | | | | | | | | | | | | | | | | | | (1239) all_688_0 = all_652_0 % 51.31/8.31 | | | | | | | | | | | | | | | | | | | | | | % 51.31/8.31 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1192), (1239) imply: % 51.31/8.31 | | | | | | | | | | | | | | | | | | | | | | (1240) all_652_0 = all_8_5 % 51.31/8.31 | | | | | | | | | | | | | | | | | | | | | | % 51.31/8.31 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1227), (1228) imply: % 51.31/8.31 | | | | | | | | | | | | | | | | | | | | | | (1241) all_662_0 = all_8_6 % 51.31/8.31 | | | | | | | | | | | | | | | | | | | | | | % 51.31/8.31 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1188), (1189) imply: % 51.31/8.31 | | | | | | | | | | | | | | | | | | | | | | (1242) all_628_0 = all_410_0 % 51.31/8.31 | | | | | | | | | | | | | | | | | | | | | | % 51.31/8.31 | | | | | | | | | | | | | | | | | | | | | | SIMP: (1242) implies: % 51.31/8.31 | | | | | | | | | | | | | | | | | | | | | | (1243) all_628_0 = all_410_0 % 51.31/8.31 | | | | | | | | | | | | | | | | | | | | | | % 51.31/8.31 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1149), (1190) imply: % 51.31/8.31 | | | | | | | | | | | | | | | | | | | | | | (1244) product(all_678_0, all_410_0) = all_8_0 % 51.31/8.31 | | | | | | | | | | | | | | | | | | | | | | % 51.31/8.31 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1147), (1190) imply: % 51.31/8.31 | | | | | | | | | | | | | | | | | | | | | | (1245) $i(all_678_0) % 51.31/8.31 | | | | | | | | | | | | | | | | | | | | | | % 51.31/8.31 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (823) gives: % 51.31/8.31 | | | | | | | | | | | | | | | | | | | | | | % 51.31/8.31 | | | | | | | | | | | | | | | | | | | | | | Case 1: % 51.31/8.31 | | | | | | | | | | | | | | | | | | | | | | | % 51.31/8.31 | | | | | | | | | | | | | | | | | | | | | | | (1246) ~ (all_446_1 = 0) % 51.31/8.31 | | | | | | | | | | | | | | | | | | | | | | | % 51.31/8.31 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (827) gives: % 51.31/8.31 | | | | | | | | | | | | | | | | | | | | | | | % 51.31/8.31 | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 51.31/8.31 | | | | | | | | | | | | | | | | | | | | | | | | % 51.31/8.31 | | | | | | | | | | | | | | | | | | | | | | | | (1247) ~ (all_448_1 = 0) % 51.31/8.31 | | | | | | | | | | | | | | | | | | | | | | | | % 51.31/8.31 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (831) gives: % 51.31/8.31 | | | | | | | | | | | | | | | | | | | | | | | | % 51.31/8.31 | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 51.31/8.31 | | | | | | | | | | | | | | | | | | | | | | | | | % 51.31/8.31 | | | | | | | | | | | | | | | | | | | | | | | | | (1248) ~ (all_450_1 = 0) % 51.31/8.31 | | | | | | | | | | | | | | | | | | | | | | | | | % 51.31/8.31 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (841) gives: % 51.31/8.31 | | | | | | | | | | | | | | | | | | | | | | | | | % 51.31/8.31 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 51.31/8.31 | | | | | | | | | | | | | | | | | | | | | | | | | | % 51.31/8.31 | | | | | | | | | | | | | | | | | | | | | | | | | | (1249) ~ (all_458_1 = 0) % 51.31/8.31 | | | | | | | | | | | | | | | | | | | | | | | | | | % 51.31/8.31 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (952) gives: % 51.31/8.31 | | | | | | | | | | | | | | | | | | | | | | | | | | % 51.31/8.31 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 51.31/8.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 51.31/8.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1250) all_446_1 = 0 % 51.31/8.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 51.31/8.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1246), (1250) imply: % 51.31/8.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1251) $false % 51.31/8.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 51.31/8.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1251) is inconsistent. % 51.31/8.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 51.31/8.31 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 51.31/8.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 51.31/8.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1252) ? [v0: $i] : ? [v1: $i] : (product(all_8_1, % 51.31/8.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_3) = v1 & product(all_8_3, all_8_1) = v0 % 51.31/8.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(v1) & $i(v0) & ( ~ (v1 = all_8_1) | ~ (v0 % 51.31/8.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_3))) % 51.31/8.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 51.31/8.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (1252) with fresh symbols all_898_0, % 51.31/8.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_898_1 gives: % 51.31/8.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1253) product(all_8_1, all_8_3) = all_898_0 & % 51.31/8.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | product(all_8_3, all_8_1) = all_898_1 & % 51.31/8.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_898_0) & $i(all_898_1) & ( ~ (all_898_0 = % 51.31/8.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_1) | ~ (all_898_1 = all_8_3)) % 51.31/8.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 51.31/8.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1253) implies: % 51.31/8.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1254) product(all_8_3, all_8_1) = all_898_1 % 51.31/8.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 51.31/8.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (17) with all_8_0, all_898_1, % 51.31/8.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_1, all_8_3, simplifying with (601), (1254) % 51.31/8.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | gives: % 51.31/8.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1255) all_898_1 = all_8_0 % 51.31/8.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 51.31/8.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (960) gives: % 51.31/8.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 51.31/8.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 51.31/8.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 51.31/8.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1256) all_448_1 = 0 % 51.31/8.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 51.31/8.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1247), (1256) imply: % 51.31/8.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1257) $false % 51.31/8.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 51.31/8.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1257) is inconsistent. % 51.31/8.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 51.31/8.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 51.31/8.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 51.31/8.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1258) ? [v0: $i] : ? [v1: $i] : (product(all_8_1, % 51.31/8.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_3) = v1 & product(all_8_3, all_8_1) = v0 % 51.31/8.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(v1) & $i(v0) & ( ~ (v1 = all_8_3) | ~ (v0 % 51.31/8.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_1))) % 51.31/8.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 51.31/8.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (1258) with fresh symbols all_910_0, % 51.31/8.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_910_1 gives: % 51.31/8.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1259) product(all_8_1, all_8_3) = all_910_0 & % 51.31/8.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | product(all_8_3, all_8_1) = all_910_1 & % 51.31/8.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_910_0) & $i(all_910_1) & ( ~ (all_910_0 = % 51.31/8.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_3) | ~ (all_910_1 = all_8_1)) % 51.31/8.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 51.31/8.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1259) implies: % 51.31/8.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1260) product(all_8_3, all_8_1) = all_910_1 % 51.31/8.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 51.31/8.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (17) with all_8_0, all_910_1, % 51.31/8.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_1, all_8_3, simplifying with (601), (1260) % 51.31/8.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives: % 51.31/8.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1261) all_910_1 = all_8_0 % 51.31/8.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 51.31/8.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (961) gives: % 51.31/8.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 51.31/8.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 51.31/8.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 51.31/8.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1262) all_458_1 = 0 % 51.31/8.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 51.31/8.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1249), (1262) imply: % 51.31/8.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1263) $false % 51.31/8.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 51.31/8.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1263) is inconsistent. % 51.31/8.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 51.31/8.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 51.31/8.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 51.31/8.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1264) ? [v0: $i] : ? [v1: $i] : (product(all_8_1, % 51.31/8.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_3) = v0 & product(all_8_3, all_8_1) = v1 % 51.31/8.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(v1) & $i(v0) & ( ~ (v1 = all_8_1) | ~ (v0 % 51.31/8.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_3))) % 51.31/8.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 51.31/8.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (1264) with fresh symbols all_922_0, % 51.31/8.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_922_1 gives: % 51.31/8.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1265) product(all_8_1, all_8_3) = all_922_1 & % 51.31/8.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | product(all_8_3, all_8_1) = all_922_0 & % 51.31/8.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_922_0) & $i(all_922_1) & ( ~ (all_922_0 = % 51.31/8.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_1) | ~ (all_922_1 = all_8_3)) % 51.31/8.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 51.31/8.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1265) implies: % 51.31/8.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1266) product(all_8_3, all_8_1) = all_922_0 % 51.31/8.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 51.31/8.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (17) with all_8_0, all_922_0, % 51.31/8.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_1, all_8_3, simplifying with (601), (1266) % 51.31/8.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives: % 51.31/8.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1267) all_922_0 = all_8_0 % 51.31/8.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 51.31/8.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (953) gives: % 51.31/8.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 51.31/8.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 51.31/8.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 51.31/8.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1268) all_450_1 = 0 % 51.31/8.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 51.31/8.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1248), (1268) imply: % 51.31/8.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1269) $false % 51.31/8.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 51.31/8.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1269) is inconsistent. % 51.31/8.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 51.31/8.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 51.31/8.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 51.31/8.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1270) ? [v0: $i] : ? [v1: $i] : (product(all_8_1, % 51.31/8.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_3) = v0 & product(all_8_3, all_8_1) = v1 % 51.31/8.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(v1) & $i(v0) & ( ~ (v1 = all_8_3) | ~ (v0 % 51.31/8.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_1))) % 51.31/8.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 51.31/8.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (1270) with fresh symbols all_934_0, % 51.31/8.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_934_1 gives: % 51.31/8.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1271) product(all_8_1, all_8_3) = all_934_1 & % 51.31/8.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | product(all_8_3, all_8_1) = all_934_0 & % 51.31/8.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_934_0) & $i(all_934_1) & ( ~ (all_934_0 = % 51.31/8.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_3) | ~ (all_934_1 = all_8_1)) % 51.31/8.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 51.31/8.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1271) implies: % 51.31/8.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1272) $i(all_934_0) % 51.31/8.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1273) product(all_8_3, all_8_1) = all_934_0 % 51.31/8.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 51.31/8.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (17) with all_8_0, all_934_0, % 51.31/8.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_1, all_8_3, simplifying with (601), (1273) % 51.31/8.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives: % 51.31/8.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1274) all_934_0 = all_8_0 % 51.31/8.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 51.31/8.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (sos02) with all_8_3, all_678_0, % 51.31/8.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (23), (1144) gives: % 51.31/8.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1275) all_678_0 = all_8_3 % 51.31/8.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 51.31/8.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with all_8_3, all_410_0, % 51.31/8.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_0, all_8_0, all_642_0, simplifying with % 51.31/8.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (23), (605), (781), (1084), (1130) gives: % 51.31/8.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1276) ? [v0: $i] : (product(all_410_0, all_8_3) = v0 & % 51.31/8.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | product(all_8_0, v0) = all_642_0 & $i(v0) & % 51.31/8.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_642_0)) % 51.31/8.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 51.31/8.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with all_8_3, all_410_0, % 51.31/8.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_642_0, all_8_0, all_642_0, simplifying with % 51.31/8.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (23), (781), (1129), (1130), (1131) gives: % 51.31/8.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1277) ? [v0: $i] : (product(all_642_0, v0) = all_642_0 % 51.31/8.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & product(all_410_0, all_8_3) = v0 & $i(v0)) % 51.31/8.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 51.31/8.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with all_8_3, all_410_0, % 51.31/8.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_648_0, all_8_0, all_642_0, simplifying with % 51.31/8.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (23), (781), (1130), (1135), (1136) gives: % 51.31/8.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1278) ? [v0: $i] : (product(all_648_0, v0) = all_642_0 % 51.31/8.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & product(all_410_0, all_8_3) = v0 & $i(v0) & % 51.31/8.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_642_0)) % 51.31/8.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 51.31/8.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with all_8_3, all_410_0, % 51.31/8.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_678_0, all_8_0, all_642_0, simplifying with % 51.31/8.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (23), (781), (1130), (1244), (1245) gives: % 51.31/8.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1279) ? [v0: $i] : (product(all_678_0, v0) = all_642_0 % 51.31/8.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & product(all_410_0, all_8_3) = v0 & $i(v0) & % 51.31/8.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_642_0)) % 51.31/8.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 51.31/8.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (13) with all_410_0, all_678_0, % 51.31/8.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_0, simplifying with (781), (1244), (1245) % 51.31/8.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives: % 51.31/8.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1280) ? [v0: any] : ? [v1: $i] : (r(all_410_0, % 51.31/8.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_678_0) = v0 & product(all_410_0, % 51.31/8.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_678_0) = v1 & $i(v1) & ( ~ (v0 = 0) | (v1 % 51.31/8.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_678_0 & all_410_0 = all_8_0))) % 51.31/8.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 51.31/8.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (7) with all_410_0, all_678_0, % 51.31/8.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_0, simplifying with (781), (1244), (1245) % 51.31/8.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives: % 51.31/8.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1281) ? [v0: any] : ? [v1: $i] : (l(all_410_0, % 51.31/8.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_678_0) = v0 & product(all_410_0, % 51.31/8.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_678_0) = v1 & $i(v1) & ( ~ (v0 = 0) | (v1 % 51.31/8.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_410_0 & all_678_0 = all_8_0))) % 51.31/8.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 51.31/8.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (12) with all_678_0, all_410_0, % 51.31/8.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_0, simplifying with (781), (1244), (1245) % 51.31/8.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives: % 51.31/8.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1282) ? [v0: any] : ? [v1: $i] : (r(all_678_0, % 51.31/8.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_410_0) = v0 & product(all_410_0, % 51.31/8.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_678_0) = v1 & $i(v1) & ( ~ (v0 = 0) | (v1 % 51.31/8.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_678_0 & all_410_0 = all_8_0))) % 51.31/8.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 51.31/8.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (6) with all_678_0, all_410_0, % 51.31/8.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_0, simplifying with (781), (1244), (1245) % 51.31/8.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives: % 51.31/8.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1283) ? [v0: any] : ? [v1: $i] : (l(all_678_0, % 51.31/8.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_410_0) = v0 & product(all_410_0, % 51.31/8.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_678_0) = v1 & $i(v1) & ( ~ (v0 = 0) | (v1 % 51.31/8.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_410_0 & all_678_0 = all_8_0))) % 51.31/8.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 51.31/8.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (1277) with fresh symbol all_948_0 % 51.31/8.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives: % 51.31/8.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1284) product(all_642_0, all_948_0) = all_642_0 & % 51.31/8.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | product(all_410_0, all_8_3) = all_948_0 & % 51.31/8.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_948_0) % 51.31/8.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 51.31/8.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1284) implies: % 51.31/8.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1285) product(all_410_0, all_8_3) = all_948_0 % 51.31/8.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 51.31/8.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (1279) with fresh symbol all_954_0 % 51.31/8.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives: % 51.31/8.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1286) product(all_678_0, all_954_0) = all_642_0 & % 51.31/8.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | product(all_410_0, all_8_3) = all_954_0 & % 51.31/8.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_954_0) & $i(all_642_0) % 51.31/8.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 51.31/8.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1286) implies: % 51.31/8.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1287) product(all_410_0, all_8_3) = all_954_0 % 51.31/8.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 51.31/8.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (1278) with fresh symbol all_972_0 % 51.31/8.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives: % 51.31/8.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1288) product(all_648_0, all_972_0) = all_642_0 & % 51.31/8.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | product(all_410_0, all_8_3) = all_972_0 & % 51.31/8.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_972_0) & $i(all_642_0) % 51.31/8.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 51.31/8.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1288) implies: % 51.31/8.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1289) product(all_410_0, all_8_3) = all_972_0 % 51.31/8.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 51.31/8.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (1276) with fresh symbol all_1014_0 % 51.31/8.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives: % 51.31/8.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1290) product(all_410_0, all_8_3) = all_1014_0 & % 51.31/8.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | product(all_8_0, all_1014_0) = all_642_0 & % 51.31/8.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_1014_0) & $i(all_642_0) % 51.31/8.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 51.31/8.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1290) implies: % 51.31/8.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1291) product(all_410_0, all_8_3) = all_1014_0 % 51.31/8.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 51.31/8.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (1283) with fresh symbols % 51.31/8.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_1078_0, all_1078_1 gives: % 51.31/8.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1292) l(all_678_0, all_410_0) = all_1078_1 & % 51.31/8.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | product(all_410_0, all_678_0) = all_1078_0 & % 51.31/8.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_1078_0) & ( ~ (all_1078_1 = 0) | % 51.31/8.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_1078_0 = all_410_0 & all_678_0 = all_8_0)) % 51.31/8.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 51.31/8.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1292) implies: % 51.31/8.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1293) product(all_410_0, all_678_0) = all_1078_0 % 51.31/8.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 51.31/8.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (1280) with fresh symbols % 51.31/8.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_1148_0, all_1148_1 gives: % 51.31/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1294) r(all_410_0, all_678_0) = all_1148_1 & % 51.31/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | product(all_410_0, all_678_0) = all_1148_0 & % 51.31/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_1148_0) & ( ~ (all_1148_1 = 0) | % 51.31/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_1148_0 = all_678_0 & all_410_0 = all_8_0)) % 51.31/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 51.31/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1294) implies: % 51.31/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1295) product(all_410_0, all_678_0) = all_1148_0 % 51.31/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 51.31/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (1282) with fresh symbols % 51.31/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_1152_0, all_1152_1 gives: % 51.31/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1296) r(all_678_0, all_410_0) = all_1152_1 & % 51.31/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | product(all_410_0, all_678_0) = all_1152_0 & % 51.31/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_1152_0) & ( ~ (all_1152_1 = 0) | % 51.31/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_1152_0 = all_678_0 & all_410_0 = all_8_0)) % 51.31/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 51.31/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1296) implies: % 51.31/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1297) product(all_410_0, all_678_0) = all_1152_0 % 51.31/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 51.31/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (1281) with fresh symbols % 51.31/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_1154_0, all_1154_1 gives: % 51.31/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1298) l(all_410_0, all_678_0) = all_1154_1 & % 51.31/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | product(all_410_0, all_678_0) = all_1154_0 & % 51.31/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_1154_0) & ( ~ (all_1154_1 = 0) | % 51.31/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_1154_0 = all_410_0 & all_678_0 = all_8_0)) % 51.31/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 51.31/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1298) implies: % 51.31/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1299) product(all_410_0, all_678_0) = all_1154_0 % 51.31/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 51.31/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1275), (1299) imply: % 51.31/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1300) product(all_410_0, all_8_3) = all_1154_0 % 51.31/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 51.31/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1275), (1297) imply: % 51.31/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1301) product(all_410_0, all_8_3) = all_1152_0 % 51.31/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 51.31/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1275), (1295) imply: % 51.31/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1302) product(all_410_0, all_8_3) = all_1148_0 % 51.31/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 51.31/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1275), (1293) imply: % 51.31/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1303) product(all_410_0, all_8_3) = all_1078_0 % 51.31/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 51.31/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1145), (1275) imply: % 51.31/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1304) product(all_410_0, all_8_3) = all_8_2 % 51.31/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 51.31/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (17) with all_8_2, all_954_0, % 51.31/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_3, all_410_0, simplifying with (1287), % 51.31/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1304) gives: % 51.31/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1305) all_954_0 = all_8_2 % 51.31/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 51.31/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (17) with all_948_0, all_1078_0, % 51.31/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_3, all_410_0, simplifying with (1285), % 51.31/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1303) gives: % 51.31/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1306) all_1078_0 = all_948_0 % 51.31/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 51.31/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (17) with all_8_6, all_1148_0, % 51.31/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_3, all_410_0, simplifying with (1088), % 51.31/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1302) gives: % 51.31/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1307) all_1148_0 = all_8_6 % 51.31/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 51.31/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (17) with all_1078_0, all_1148_0, % 51.31/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_3, all_410_0, simplifying with (1302), % 51.31/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1303) gives: % 51.31/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1308) all_1148_0 = all_1078_0 % 51.31/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 51.31/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (17) with all_1014_0, all_1148_0, % 51.31/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_3, all_410_0, simplifying with (1291), % 51.31/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1302) gives: % 51.31/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1309) all_1148_0 = all_1014_0 % 51.31/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 51.31/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (17) with all_954_0, all_1148_0, % 51.31/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_3, all_410_0, simplifying with (1287), % 51.31/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1302) gives: % 51.31/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1310) all_1148_0 = all_954_0 % 51.31/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 51.31/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (17) with all_1148_0, all_1152_0, % 51.31/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_3, all_410_0, simplifying with (1301), % 51.31/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1302) gives: % 51.31/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1311) all_1152_0 = all_1148_0 % 51.31/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 51.31/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (17) with all_1152_0, all_1154_0, % 51.31/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_3, all_410_0, simplifying with (1300), % 51.31/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1301) gives: % 51.31/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1312) all_1154_0 = all_1152_0 % 51.31/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 51.31/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (17) with all_972_0, all_1154_0, % 51.31/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_3, all_410_0, simplifying with (1289), % 51.31/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1300) gives: % 51.31/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1313) all_1154_0 = all_972_0 % 51.31/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 51.31/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1312), (1313) imply: % 51.31/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1314) all_1152_0 = all_972_0 % 51.31/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 51.31/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1314) implies: % 51.31/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1315) all_1152_0 = all_972_0 % 51.31/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 51.31/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1311), (1315) imply: % 51.31/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1316) all_1148_0 = all_972_0 % 51.31/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 51.31/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1316) implies: % 51.31/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1317) all_1148_0 = all_972_0 % 51.31/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 51.31/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1308), (1309) imply: % 51.31/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1318) all_1078_0 = all_1014_0 % 51.31/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 51.31/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1318) implies: % 51.31/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1319) all_1078_0 = all_1014_0 % 51.31/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 51.31/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1309), (1310) imply: % 51.31/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1320) all_1014_0 = all_954_0 % 51.31/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 51.31/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1309), (1317) imply: % 51.31/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1321) all_1014_0 = all_972_0 % 51.31/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 51.31/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1307), (1309) imply: % 51.31/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1322) all_1014_0 = all_8_6 % 51.31/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 51.31/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1306), (1319) imply: % 51.31/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1323) all_1014_0 = all_948_0 % 51.31/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 51.31/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1323) implies: % 51.31/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1324) all_1014_0 = all_948_0 % 51.31/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 51.31/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1321), (1322) imply: % 51.31/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1325) all_972_0 = all_8_6 % 51.31/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 51.31/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1320), (1321) imply: % 51.31/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1326) all_972_0 = all_954_0 % 51.31/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 51.31/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1321), (1324) imply: % 51.31/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1327) all_972_0 = all_948_0 % 51.31/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 51.31/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1326), (1327) imply: % 51.31/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1328) all_954_0 = all_948_0 % 51.31/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 51.31/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1328) implies: % 51.31/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1329) all_954_0 = all_948_0 % 51.31/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 51.31/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1325), (1327) imply: % 51.31/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1330) all_948_0 = all_8_6 % 51.31/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 51.31/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1305), (1329) imply: % 51.31/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1331) all_948_0 = all_8_2 % 51.31/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 51.31/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1331) implies: % 51.31/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1332) all_948_0 = all_8_2 % 51.31/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 51.31/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1330), (1332) imply: % 51.31/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1333) all_8_2 = all_8_6 % 51.31/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 51.31/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1333) implies: % 51.31/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1334) all_8_2 = all_8_6 % 51.31/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 51.31/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (707), (1334) imply: % 51.31/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1335) $false % 51.31/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 51.31/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1335) is inconsistent. % 51.31/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 51.31/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 51.31/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 51.31/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 51.31/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 51.31/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 51.31/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 51.31/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 51.31/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | % 51.31/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 51.31/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | % 51.31/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | (1336) all_458_0 = all_8_1 & all_8_2 = all_8_3 % 51.31/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | % 51.31/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1336) implies: % 51.31/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | (1337) all_8_2 = all_8_3 % 51.31/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | % 51.31/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (17), (707), (1088), (1089), (1337) are % 51.31/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #4. % 51.31/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | | % 51.31/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 51.31/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | % 51.31/8.33 | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 51.31/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | % 51.31/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | (1338) all_450_0 = all_8_3 & all_8_1 = all_8_2 % 51.31/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | % 51.31/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1338) implies: % 51.31/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | (1339) all_450_0 = all_8_3 % 51.31/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | % 51.31/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (951), (1339) imply: % 51.31/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | (1340) all_8_0 = all_8_3 % 51.31/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | % 51.31/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1340) implies: % 51.31/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | (1341) all_8_0 = all_8_3 % 51.31/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | % 51.31/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (17), (690), (1084), (1086), (1341) are % 51.31/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3. % 51.31/8.33 | | | | | | | | | | | | | | | | | | | | | | | | | % 51.31/8.33 | | | | | | | | | | | | | | | | | | | | | | | | End of split % 51.31/8.33 | | | | | | | | | | | | | | | | | | | | | | | | % 51.31/8.33 | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 51.31/8.33 | | | | | | | | | | | | | | | | | | | | | | | | % 51.31/8.33 | | | | | | | | | | | | | | | | | | | | | | | | (1342) all_448_0 = all_8_1 & all_8_2 = all_8_3 % 51.31/8.33 | | | | | | | | | | | | | | | | | | | | | | | | % 51.31/8.33 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1342) implies: % 51.31/8.33 | | | | | | | | | | | | | | | | | | | | | | | | (1343) all_8_2 = all_8_3 % 51.31/8.33 | | | | | | | | | | | | | | | | | | | | | | | | % 51.31/8.33 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (17), (707), (1088), (1089), (1343) are % 51.31/8.33 | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #4. % 51.31/8.33 | | | | | | | | | | | | | | | | | | | | | | | | % 51.31/8.33 | | | | | | | | | | | | | | | | | | | | | | | End of split % 51.31/8.33 | | | | | | | | | | | | | | | | | | | | | | | % 51.31/8.33 | | | | | | | | | | | | | | | | | | | | | | Case 2: % 51.31/8.33 | | | | | | | | | | | | | | | | | | | | | | | % 51.31/8.33 | | | | | | | | | | | | | | | | | | | | | | | (1344) all_446_0 = all_8_3 & all_8_1 = all_8_2 % 51.31/8.33 | | | | | | | | | | | | | | | | | | | | | | | % 51.31/8.33 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1344) implies: % 51.31/8.33 | | | | | | | | | | | | | | | | | | | | | | | (1345) all_446_0 = all_8_3 % 51.31/8.33 | | | | | | | | | | | | | | | | | | | | | | | % 51.31/8.33 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (924), (1345) imply: % 51.31/8.33 | | | | | | | | | | | | | | | | | | | | | | | (1346) all_8_0 = all_8_3 % 51.31/8.33 | | | | | | | | | | | | | | | | | | | | | | | % 51.31/8.33 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (17), (690), (1084), (1086), (1346) are % 51.31/8.33 | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3. % 51.31/8.33 | | | | | | | | | | | | | | | | | | | | | | | % 51.31/8.33 | | | | | | | | | | | | | | | | | | | | | | End of split % 51.31/8.33 | | | | | | | | | | | | | | | | | | | | | | % 51.31/8.34 | | | | | | | | | | | | | | | | | | | | | Case 2: % 51.31/8.34 | | | | | | | | | | | | | | | | | | | | | | % 51.31/8.34 | | | | | | | | | | | | | | | | | | | | | | (1347) all_750_0 = all_543_0 & all_8_0 = all_8_5 % 51.31/8.34 | | | | | | | | | | | | | | | | | | | | | | % 51.31/8.34 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1347) implies: % 51.31/8.34 | | | | | | | | | | | | | | | | | | | | | | (1348) all_8_0 = all_8_5 % 51.31/8.34 | | | | | | | | | | | | | | | | | | | | | | % 51.31/8.34 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (690), (1348) imply: % 51.31/8.34 | | | | | | | | | | | | | | | | | | | | | | (1349) $false % 51.31/8.34 | | | | | | | | | | | | | | | | | | | | | | % 51.31/8.34 | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1349) is inconsistent. % 51.31/8.34 | | | | | | | | | | | | | | | | | | | | | | % 51.31/8.34 | | | | | | | | | | | | | | | | | | | | | End of split % 51.31/8.34 | | | | | | | | | | | | | | | | | | | | | % 51.31/8.34 | | | | | | | | | | | | | | | | | | | | End of split % 51.31/8.34 | | | | | | | | | | | | | | | | | | | | % 51.31/8.34 | | | | | | | | | | | | | | | | | | | Case 2: % 51.31/8.34 | | | | | | | | | | | | | | | | | | | | % 51.31/8.34 | | | | | | | | | | | | | | | | | | | | (1350) all_375_0 = all_8_6 % 51.31/8.34 | | | | | | | | | | | | | | | | | | | | % 51.31/8.34 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (727), (1350) imply: % 51.31/8.34 | | | | | | | | | | | | | | | | | | | | (1351) all_8_1 = all_8_6 % 51.31/8.34 | | | | | | | | | | | | | | | | | | | | % 51.31/8.34 | | | | | | | | | | | | | | | | | | | | SIMP: (1351) implies: % 51.31/8.34 | | | | | | | | | | | | | | | | | | | | (1352) all_8_1 = all_8_6 % 51.31/8.34 | | | | | | | | | | | | | | | | | | | | % 51.31/8.34 | | | | | | | | | | | | | | | | | | | | REDUCE: (157), (1352) imply: % 51.31/8.34 | | | | | | | | | | | | | | | | | | | | (1353) product(all_8_6, all_8_6) = all_8_2 % 51.31/8.34 | | | | | | | | | | | | | | | | | | | | % 51.31/8.34 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (17), (374), (707), (1353) are inconsistent by % 51.31/8.34 | | | | | | | | | | | | | | | | | | | | sub-proof #2. % 51.31/8.34 | | | | | | | | | | | | | | | | | | | | % 51.31/8.34 | | | | | | | | | | | | | | | | | | | End of split % 51.31/8.34 | | | | | | | | | | | | | | | | | | | % 51.31/8.35 | | | | | | | | | | | | | | | | | | Case 2: % 51.31/8.35 | | | | | | | | | | | | | | | | | | | % 51.31/8.35 | | | | | | | | | | | | | | | | | | | (1354) all_460_0 = all_8_6 & all_8_2 = all_8_6 % 51.31/8.35 | | | | | | | | | | | | | | | | | | | % 51.31/8.35 | | | | | | | | | | | | | | | | | | | ALPHA: (1354) implies: % 51.31/8.35 | | | | | | | | | | | | | | | | | | | (1355) all_8_2 = all_8_6 % 51.31/8.35 | | | | | | | | | | | | | | | | | | | % 51.31/8.35 | | | | | | | | | | | | | | | | | | | REDUCE: (707), (1355) imply: % 51.31/8.35 | | | | | | | | | | | | | | | | | | | (1356) $false % 51.31/8.35 | | | | | | | | | | | | | | | | | | | % 51.31/8.35 | | | | | | | | | | | | | | | | | | | CLOSE: (1356) is inconsistent. % 51.31/8.35 | | | | | | | | | | | | | | | | | | | % 51.31/8.35 | | | | | | | | | | | | | | | | | | End of split % 51.31/8.35 | | | | | | | | | | | | | | | | | | % 51.61/8.35 | | | | | | | | | | | | | | | | | End of split % 51.61/8.35 | | | | | | | | | | | | | | | | | % 51.61/8.35 | | | | | | | | | | | | | | | | End of split % 51.61/8.35 | | | | | | | | | | | | | | | | % 51.61/8.35 | | | | | | | | | | | | | | | End of split % 51.61/8.35 | | | | | | | | | | | | | | | % 51.61/8.35 | | | | | | | | | | | | | | End of split % 51.61/8.35 | | | | | | | | | | | | | | % 51.61/8.35 | | | | | | | | | | | | | Case 2: % 51.61/8.35 | | | | | | | | | | | | | | % 51.61/8.35 | | | | | | | | | | | | | | (1357) all_33_0 = all_8_5 & all_8_3 = all_8_6 % 51.61/8.35 | | | | | | | | | | | | | | % 51.61/8.35 | | | | | | | | | | | | | | ALPHA: (1357) implies: % 51.61/8.35 | | | | | | | | | | | | | | (1358) all_8_3 = all_8_6 % 51.61/8.35 | | | | | | | | | | | | | | % 51.61/8.35 | | | | | | | | | | | | | | REDUCE: (26), (1358) imply: % 51.61/8.35 | | | | | | | | | | | | | | (1359) product(all_8_6, all_8_6) = all_8_2 % 51.61/8.35 | | | | | | | | | | | | | | % 51.61/8.35 | | | | | | | | | | | | | | REF_CLOSE: (17), (374), (707), (1359) are inconsistent by % 51.61/8.35 | | | | | | | | | | | | | | sub-proof #2. % 51.61/8.35 | | | | | | | | | | | | | | % 51.61/8.35 | | | | | | | | | | | | | End of split % 51.61/8.35 | | | | | | | | | | | | | % 51.61/8.35 | | | | | | | | | | | | Case 2: % 51.61/8.35 | | | | | | | | | | | | | % 51.61/8.35 | | | | | | | | | | | | | (1360) all_31_0 = all_8_6 & all_8_3 = all_8_5 % 51.61/8.35 | | | | | | | | | | | | | % 51.61/8.35 | | | | | | | | | | | | | ALPHA: (1360) implies: % 51.61/8.35 | | | | | | | | | | | | | (1361) all_8_3 = all_8_5 % 51.61/8.35 | | | | | | | | | | | | | % 51.61/8.35 | | | | | | | | | | | | | REDUCE: (158), (1361) imply: % 51.61/8.35 | | | | | | | | | | | | | (1362) product(all_8_5, all_8_5) = all_8_0 % 51.61/8.35 | | | | | | | | | | | | | % 51.61/8.35 | | | | | | | | | | | | | REF_CLOSE: (17), (372), (690), (1362) are inconsistent by % 51.61/8.35 | | | | | | | | | | | | | sub-proof #1. % 51.61/8.35 | | | | | | | | | | | | | % 51.61/8.35 | | | | | | | | | | | | End of split % 51.61/8.35 | | | | | | | | | | | | % 51.61/8.35 | | | | | | | | | | | Case 2: % 51.61/8.35 | | | | | | | | | | | | % 51.61/8.35 | | | | | | | | | | | | (1363) all_193_0 = 0 % 51.61/8.35 | | | | | | | | | | | | % 51.61/8.35 | | | | | | | | | | | | COMBINE_EQS: (566), (1363) imply: % 51.61/8.35 | | | | | | | | | | | | (1364) all_29_1 = 0 % 51.61/8.35 | | | | | | | | | | | | % 51.61/8.35 | | | | | | | | | | | | REDUCE: (698), (1364) imply: % 51.61/8.35 | | | | | | | | | | | | (1365) $false % 51.61/8.35 | | | | | | | | | | | | % 51.61/8.35 | | | | | | | | | | | | CLOSE: (1365) is inconsistent. % 51.61/8.35 | | | | | | | | | | | | % 51.61/8.35 | | | | | | | | | | | End of split % 51.61/8.35 | | | | | | | | | | | % 51.61/8.35 | | | | | | | | | | End of split % 51.61/8.35 | | | | | | | | | | % 51.61/8.35 | | | | | | | | | Case 2: % 51.61/8.35 | | | | | | | | | | % 51.61/8.35 | | | | | | | | | | (1366) all_29_0 = all_8_3 & all_8_2 = all_8_6 % 51.61/8.35 | | | | | | | | | | % 51.61/8.35 | | | | | | | | | | ALPHA: (1366) implies: % 51.61/8.35 | | | | | | | | | | (1367) all_8_2 = all_8_6 % 51.61/8.35 | | | | | | | | | | % 51.61/8.35 | | | | | | | | | | REDUCE: (600), (1367) imply: % 51.61/8.35 | | | | | | | | | | (1368) product(all_8_1, all_8_3) = all_8_6 % 51.61/8.35 | | | | | | | | | | % 51.61/8.35 | | | | | | | | | | REDUCE: (157), (1367) imply: % 51.61/8.35 | | | | | | | | | | (1369) product(all_8_1, all_8_6) = all_8_6 % 51.61/8.35 | | | | | | | | | | % 51.61/8.35 | | | | | | | | | | REDUCE: (26), (1367) imply: % 51.61/8.35 | | | | | | | | | | (1370) product(all_8_6, all_8_3) = all_8_6 % 51.61/8.35 | | | | | | | | | | % 51.61/8.35 | | | | | | | | | | BETA: splitting (82) gives: % 51.61/8.35 | | | | | | | | | | % 51.61/8.35 | | | | | | | | | | Case 1: % 51.61/8.35 | | | | | | | | | | | % 51.61/8.35 | | | | | | | | | | | (1371) ~ (all_31_1 = 0) % 51.61/8.35 | | | | | | | | | | | % 51.61/8.35 | | | | | | | | | | | BETA: splitting (86) gives: % 51.61/8.35 | | | | | | | | | | | % 51.61/8.35 | | | | | | | | | | | Case 1: % 51.61/8.35 | | | | | | | | | | | | % 51.61/8.35 | | | | | | | | | | | | (1372) ~ (all_33_1 = 0) % 51.61/8.35 | | | | | | | | | | | | % 51.61/8.35 | | | | | | | | | | | | BETA: splitting (90) gives: % 51.61/8.35 | | | | | | | | | | | | % 51.61/8.35 | | | | | | | | | | | | Case 1: % 51.61/8.35 | | | | | | | | | | | | | % 51.61/8.35 | | | | | | | | | | | | | (1373) ~ (all_35_1 = 0) % 51.61/8.35 | | | | | | | | | | | | | % 51.61/8.35 | | | | | | | | | | | | | BETA: splitting (183) gives: % 51.61/8.35 | | | | | | | | | | | | | % 51.61/8.35 | | | | | | | | | | | | | Case 1: % 51.61/8.35 | | | | | | | | | | | | | | % 51.61/8.35 | | | | | | | | | | | | | | (1374) all_35_1 = 0 % 51.61/8.35 | | | | | | | | | | | | | | % 51.61/8.35 | | | | | | | | | | | | | | REDUCE: (1373), (1374) imply: % 51.61/8.35 | | | | | | | | | | | | | | (1375) $false % 51.61/8.35 | | | | | | | | | | | | | | % 51.61/8.35 | | | | | | | | | | | | | | CLOSE: (1375) is inconsistent. % 51.61/8.35 | | | | | | | | | | | | | | % 51.61/8.35 | | | | | | | | | | | | | Case 2: % 51.61/8.35 | | | | | | | | | | | | | | % 51.61/8.35 | | | | | | | | | | | | | | (1376) ? [v0: $i] : ? [v1: $i] : (product(all_8_3, % 51.61/8.35 | | | | | | | | | | | | | | all_8_6) = v1 & product(all_8_6, all_8_3) = v0 % 51.61/8.35 | | | | | | | | | | | | | | & $i(v1) & $i(v0) & ( ~ (v1 = all_8_6) | ~ (v0 % 51.61/8.35 | | | | | | | | | | | | | | = all_8_3))) % 51.61/8.35 | | | | | | | | | | | | | | % 51.61/8.35 | | | | | | | | | | | | | | DELTA: instantiating (1376) with fresh symbols all_337_0, % 51.61/8.35 | | | | | | | | | | | | | | all_337_1 gives: % 51.61/8.35 | | | | | | | | | | | | | | (1377) product(all_8_3, all_8_6) = all_337_0 & % 51.61/8.35 | | | | | | | | | | | | | | product(all_8_6, all_8_3) = all_337_1 & % 51.61/8.35 | | | | | | | | | | | | | | $i(all_337_0) & $i(all_337_1) & ( ~ (all_337_0 = % 51.61/8.35 | | | | | | | | | | | | | | all_8_6) | ~ (all_337_1 = all_8_3)) % 51.61/8.35 | | | | | | | | | | | | | | % 51.61/8.35 | | | | | | | | | | | | | | ALPHA: (1377) implies: % 51.61/8.35 | | | | | | | | | | | | | | (1378) $i(all_337_1) % 51.61/8.35 | | | | | | | | | | | | | | (1379) product(all_8_6, all_8_3) = all_337_1 % 51.61/8.35 | | | | | | | | | | | | | | (1380) product(all_8_3, all_8_6) = all_337_0 % 51.61/8.35 | | | | | | | | | | | | | | (1381) ~ (all_337_0 = all_8_6) | ~ (all_337_1 = % 51.61/8.35 | | | | | | | | | | | | | | all_8_3) % 51.61/8.35 | | | | | | | | | | | | | | % 51.61/8.35 | | | | | | | | | | | | | | GROUND_INST: instantiating (17) with all_8_6, all_337_1, % 51.61/8.35 | | | | | | | | | | | | | | all_8_3, all_8_6, simplifying with (1370), (1379) % 51.61/8.35 | | | | | | | | | | | | | | gives: % 51.61/8.35 | | | | | | | | | | | | | | (1382) all_337_1 = all_8_6 % 51.61/8.35 | | | | | | | | | | | | | | % 51.61/8.36 | | | | | | | | | | | | | | GROUND_INST: instantiating (17) with all_8_3, all_337_0, % 51.61/8.36 | | | | | | | | | | | | | | all_8_6, all_8_3, simplifying with (444), (1380) % 51.61/8.36 | | | | | | | | | | | | | | gives: % 51.61/8.36 | | | | | | | | | | | | | | (1383) all_337_0 = all_8_3 % 51.61/8.36 | | | | | | | | | | | | | | % 51.61/8.36 | | | | | | | | | | | | | | BETA: splitting (1381) gives: % 51.61/8.36 | | | | | | | | | | | | | | % 51.61/8.36 | | | | | | | | | | | | | | Case 1: % 51.61/8.36 | | | | | | | | | | | | | | | % 51.61/8.36 | | | | | | | | | | | | | | | (1384) ~ (all_337_0 = all_8_6) % 51.61/8.36 | | | | | | | | | | | | | | | % 51.61/8.36 | | | | | | | | | | | | | | | REDUCE: (1383), (1384) imply: % 51.61/8.36 | | | | | | | | | | | | | | | (1385) ~ (all_8_3 = all_8_6) % 51.61/8.36 | | | | | | | | | | | | | | | % 51.61/8.36 | | | | | | | | | | | | | | | BETA: splitting (177) gives: % 51.61/8.36 | | | | | | | | | | | | | | | % 51.61/8.36 | | | | | | | | | | | | | | | Case 1: % 51.61/8.36 | | | | | | | | | | | | | | | | % 51.61/8.36 | | | | | | | | | | | | | | | | (1386) all_21_1 = 0 % 51.61/8.36 | | | | | | | | | | | | | | | | % 51.61/8.36 | | | | | | | | | | | | | | | | REDUCE: (696), (1386) imply: % 51.61/8.36 | | | | | | | | | | | | | | | | (1387) $false % 51.61/8.36 | | | | | | | | | | | | | | | | % 51.61/8.36 | | | | | | | | | | | | | | | | CLOSE: (1387) is inconsistent. % 51.61/8.36 | | | | | | | | | | | | | | | | % 51.61/8.36 | | | | | | | | | | | | | | | Case 2: % 51.61/8.36 | | | | | | | | | | | | | | | | % 51.61/8.36 | | | | | | | | | | | | | | | | (1388) ? [v0: $i] : ? [v1: $i] : (product(all_8_5, % 51.61/8.36 | | | | | | | | | | | | | | | | all_8_6) = v1 & product(all_8_6, all_8_5) = v0 % 51.61/8.36 | | | | | | | | | | | | | | | | & $i(v1) & $i(v0) & ( ~ (v1 = all_8_5) | ~ (v0 % 51.61/8.36 | | | | | | | | | | | | | | | | = all_8_6))) % 51.61/8.36 | | | | | | | | | | | | | | | | % 51.61/8.36 | | | | | | | | | | | | | | | | DELTA: instantiating (1388) with fresh symbols all_357_0, % 51.61/8.36 | | | | | | | | | | | | | | | | all_357_1 gives: % 51.61/8.36 | | | | | | | | | | | | | | | | (1389) product(all_8_5, all_8_6) = all_357_0 & % 51.61/8.36 | | | | | | | | | | | | | | | | product(all_8_6, all_8_5) = all_357_1 & % 51.61/8.36 | | | | | | | | | | | | | | | | $i(all_357_0) & $i(all_357_1) & ( ~ (all_357_0 = % 51.61/8.36 | | | | | | | | | | | | | | | | all_8_5) | ~ (all_357_1 = all_8_6)) % 51.61/8.36 | | | | | | | | | | | | | | | | % 51.61/8.36 | | | | | | | | | | | | | | | | ALPHA: (1389) implies: % 51.61/8.36 | | | | | | | | | | | | | | | | (1390) product(all_8_6, all_8_5) = all_357_1 % 51.61/8.36 | | | | | | | | | | | | | | | | (1391) product(all_8_5, all_8_6) = all_357_0 % 51.61/8.36 | | | | | | | | | | | | | | | | % 51.61/8.36 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (17) with all_8_1, all_357_1, % 51.61/8.36 | | | | | | | | | | | | | | | | all_8_5, all_8_6, simplifying with (25), (1390) % 51.61/8.36 | | | | | | | | | | | | | | | | gives: % 51.61/8.36 | | | | | | | | | | | | | | | | (1392) all_357_1 = all_8_1 % 51.61/8.36 | | | | | | | | | | | | | | | | % 51.61/8.36 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (17) with all_8_3, all_357_0, % 51.61/8.36 | | | | | | | | | | | | | | | | all_8_6, all_8_5, simplifying with (27), (1391) % 51.61/8.36 | | | | | | | | | | | | | | | | gives: % 51.61/8.36 | | | | | | | | | | | | | | | | (1393) all_357_0 = all_8_3 % 51.61/8.36 | | | | | | | | | | | | | | | | % 51.61/8.36 | | | | | | | | | | | | | | | | BETA: splitting (179) gives: % 51.61/8.36 | | | | | | | | | | | | | | | | % 51.61/8.36 | | | | | | | | | | | | | | | | Case 1: % 51.61/8.36 | | | | | | | | | | | | | | | | | % 51.61/8.36 | | | | | | | | | | | | | | | | | (1394) all_31_1 = 0 % 51.61/8.36 | | | | | | | | | | | | | | | | | % 51.61/8.36 | | | | | | | | | | | | | | | | | REDUCE: (1371), (1394) imply: % 51.61/8.36 | | | | | | | | | | | | | | | | | (1395) $false % 51.61/8.36 | | | | | | | | | | | | | | | | | % 51.61/8.36 | | | | | | | | | | | | | | | | | CLOSE: (1395) is inconsistent. % 51.61/8.36 | | | | | | | | | | | | | | | | | % 51.61/8.36 | | | | | | | | | | | | | | | | Case 2: % 51.61/8.36 | | | | | | | | | | | | | | | | | % 51.61/8.36 | | | | | | | | | | | | | | | | | (1396) ? [v0: $i] : ? [v1: $i] : (product(all_8_5, % 51.61/8.36 | | | | | | | | | | | | | | | | | all_8_6) = v0 & product(all_8_6, all_8_5) = v1 % 51.61/8.36 | | | | | | | | | | | | | | | | | & $i(v1) & $i(v0) & ( ~ (v1 = all_8_6) | ~ (v0 % 51.61/8.36 | | | | | | | | | | | | | | | | | = all_8_5))) % 51.61/8.36 | | | | | | | | | | | | | | | | | % 51.61/8.36 | | | | | | | | | | | | | | | | | DELTA: instantiating (1396) with fresh symbols all_369_0, % 51.61/8.36 | | | | | | | | | | | | | | | | | all_369_1 gives: % 51.61/8.36 | | | | | | | | | | | | | | | | | (1397) product(all_8_5, all_8_6) = all_369_1 & % 51.61/8.36 | | | | | | | | | | | | | | | | | product(all_8_6, all_8_5) = all_369_0 & % 51.61/8.36 | | | | | | | | | | | | | | | | | $i(all_369_0) & $i(all_369_1) & ( ~ (all_369_0 = % 51.61/8.36 | | | | | | | | | | | | | | | | | all_8_6) | ~ (all_369_1 = all_8_5)) % 51.61/8.36 | | | | | | | | | | | | | | | | | % 51.61/8.36 | | | | | | | | | | | | | | | | | ALPHA: (1397) implies: % 51.61/8.36 | | | | | | | | | | | | | | | | | (1398) $i(all_369_1) % 51.61/8.36 | | | | | | | | | | | | | | | | | (1399) $i(all_369_0) % 51.61/8.36 | | | | | | | | | | | | | | | | | (1400) product(all_8_6, all_8_5) = all_369_0 % 51.61/8.36 | | | | | | | | | | | | | | | | | (1401) product(all_8_5, all_8_6) = all_369_1 % 51.61/8.36 | | | | | | | | | | | | | | | | | % 51.61/8.36 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (17) with all_8_1, all_369_0, % 51.61/8.36 | | | | | | | | | | | | | | | | | all_8_5, all_8_6, simplifying with (25), (1400) % 51.61/8.36 | | | | | | | | | | | | | | | | | gives: % 51.61/8.36 | | | | | | | | | | | | | | | | | (1402) all_369_0 = all_8_1 % 51.61/8.36 | | | | | | | | | | | | | | | | | % 51.61/8.36 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (17) with all_8_3, all_369_1, % 51.61/8.36 | | | | | | | | | | | | | | | | | all_8_6, all_8_5, simplifying with (27), (1401) % 51.61/8.36 | | | | | | | | | | | | | | | | | gives: % 51.61/8.36 | | | | | | | | | | | | | | | | | (1403) all_369_1 = all_8_3 % 51.61/8.36 | | | | | | | | | | | | | | | | | % 51.61/8.36 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (1) with all_8_3, all_8_6, all_8_3, % 51.61/8.36 | | | | | | | | | | | | | | | | | all_8_6, all_8_3, simplifying with (21), (23), % 51.61/8.36 | | | | | | | | | | | | | | | | | (444), (1370) gives: % 51.61/8.36 | | | | | | | | | | | | | | | | | (1404) ? [v0: $i] : (product(v0, all_8_3) = all_8_3 & % 51.61/8.36 | | | | | | | | | | | | | | | | | product(all_8_3, all_8_6) = v0 & $i(v0)) % 51.61/8.36 | | | | | | | | | | | | | | | | | % 51.61/8.36 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (1) with all_8_3, all_8_6, all_8_5, % 51.61/8.36 | | | | | | | | | | | | | | | | | all_8_6, all_8_3, simplifying with (21), (22), % 51.61/8.36 | | | | | | | | | | | | | | | | | (23), (27), (1370) gives: % 51.61/8.36 | | | | | | | | | | | | | | | | | (1405) ? [v0: $i] : (product(v0, all_8_3) = all_8_3 & % 51.61/8.36 | | | | | | | | | | | | | | | | | product(all_8_5, all_8_6) = v0 & $i(v0)) % 51.61/8.36 | | | | | | | | | | | | | | | | | % 51.61/8.36 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with all_8_1, all_8_3, all_8_6, % 51.61/8.36 | | | | | | | | | | | | | | | | | all_8_6, all_8_1, simplifying with (21), (23), % 51.61/8.36 | | | | | | | | | | | | | | | | | (24), (449), (1370) gives: % 51.61/8.36 | | | | | | | | | | | | | | | | | (1406) ? [v0: $i] : (product(all_8_3, all_8_1) = v0 & % 51.61/8.36 | | | | | | | | | | | | | | | | | product(all_8_6, v0) = all_8_1 & $i(v0)) % 51.61/8.36 | | | | | | | | | | | | | | | | | % 51.61/8.36 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with all_8_5, all_8_3, all_8_6, % 51.61/8.36 | | | | | | | | | | | | | | | | | all_8_6, all_8_1, simplifying with (21), (22), % 51.61/8.36 | | | | | | | | | | | | | | | | | (23), (25), (1370) gives: % 51.61/8.36 | | | | | | | | | | | | | | | | | (1407) ? [v0: $i] : (product(all_8_3, all_8_5) = v0 & % 51.61/8.36 | | | | | | | | | | | | | | | | | product(all_8_6, v0) = all_8_1 & $i(v0) & % 51.61/8.36 | | | | | | | | | | | | | | | | | $i(all_8_1)) % 51.61/8.36 | | | | | | | | | | | | | | | | | % 51.61/8.36 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with all_8_3, all_8_3, all_8_6, % 51.61/8.36 | | | | | | | | | | | | | | | | | all_8_6, all_8_6, simplifying with (21), (23), % 51.61/8.36 | | | | | | | | | | | | | | | | | (1370) gives: % 51.61/8.36 | | | | | | | | | | | | | | | | | (1408) ? [v0: $i] : (product(all_8_3, all_8_3) = v0 & % 51.61/8.36 | | | | | | | | | | | | | | | | | product(all_8_6, v0) = all_8_6 & $i(v0)) % 51.61/8.36 | | | | | | | | | | | | | | | | | % 51.61/8.36 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (1) with all_8_6, all_8_1, all_8_3, % 51.61/8.36 | | | | | | | | | | | | | | | | | all_8_6, all_8_3, simplifying with (21), (23), % 51.61/8.36 | | | | | | | | | | | | | | | | | (24), (444), (1369) gives: % 51.61/8.36 | | | | | | | | | | | | | | | | | (1409) ? [v0: $i] : (product(v0, all_8_6) = all_8_3 & % 51.61/8.36 | | | | | | | | | | | | | | | | | product(all_8_3, all_8_1) = v0 & $i(v0)) % 51.61/8.36 | | | | | | | | | | | | | | | | | % 51.61/8.36 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (1) with all_8_6, all_8_1, all_8_5, % 51.61/8.36 | | | | | | | | | | | | | | | | | all_8_6, all_8_3, simplifying with (21), (22), % 51.61/8.36 | | | | | | | | | | | | | | | | | (24), (27), (1369) gives: % 51.61/8.36 | | | | | | | | | | | | | | | | | (1410) ? [v0: $i] : (product(v0, all_8_6) = all_8_3 & % 51.61/8.36 | | | | | | | | | | | | | | | | | product(all_8_5, all_8_1) = v0 & $i(v0) & % 51.61/8.36 | | | | | | | | | | | | | | | | | $i(all_8_3)) % 51.61/8.36 | | | | | | | | | | | | | | | | | % 51.61/8.36 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with all_8_1, all_8_6, all_8_1, % 51.61/8.36 | | | | | | | | | | | | | | | | | all_8_6, all_8_1, simplifying with (21), (24), % 51.61/8.36 | | | | | | | | | | | | | | | | | (449), (1369) gives: % 51.61/8.36 | | | | | | | | | | | | | | | | | (1411) ? [v0: $i] : (product(all_8_1, v0) = all_8_1 & % 51.61/8.36 | | | | | | | | | | | | | | | | | product(all_8_6, all_8_1) = v0 & $i(v0)) % 51.61/8.36 | | | | | | | | | | | | | | | | | % 51.61/8.36 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with all_8_5, all_8_6, all_8_1, % 51.61/8.36 | | | | | | | | | | | | | | | | | all_8_6, all_8_1, simplifying with (21), (22), % 51.61/8.36 | | | | | | | | | | | | | | | | | (24), (25), (1369) gives: % 51.61/8.36 | | | | | | | | | | | | | | | | | (1412) ? [v0: $i] : (product(all_8_1, v0) = all_8_1 & % 51.61/8.36 | | | | | | | | | | | | | | | | | product(all_8_6, all_8_5) = v0 & $i(v0)) % 51.61/8.36 | | | | | | | | | | | | | | | | | % 51.61/8.36 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (1) with all_8_6, all_8_1, all_8_1, % 51.61/8.36 | | | | | | | | | | | | | | | | | all_8_6, all_8_6, simplifying with (21), (24), % 51.61/8.36 | | | | | | | | | | | | | | | | | (1369) gives: % 51.61/8.36 | | | | | | | | | | | | | | | | | (1413) ? [v0: $i] : (product(v0, all_8_6) = all_8_6 & % 51.61/8.36 | | | | | | | | | | | | | | | | | product(all_8_1, all_8_1) = v0 & $i(v0)) % 51.61/8.36 | | | | | | | | | | | | | | | | | % 51.61/8.36 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (1) with all_8_3, all_8_1, all_8_3, % 51.61/8.36 | | | | | | | | | | | | | | | | | all_8_6, all_8_3, simplifying with (23), (24), % 51.61/8.36 | | | | | | | | | | | | | | | | | (444), (1368) gives: % 51.61/8.36 | | | | | | | | | | | | | | | | | (1414) ? [v0: $i] : (product(v0, all_8_3) = all_8_3 & % 51.61/8.36 | | | | | | | | | | | | | | | | | product(all_8_3, all_8_1) = v0 & $i(v0)) % 51.61/8.36 | | | | | | | | | | | | | | | | | % 51.61/8.36 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (1) with all_8_3, all_8_1, all_8_5, % 51.61/8.36 | | | | | | | | | | | | | | | | | all_8_6, all_8_3, simplifying with (22), (23), % 51.61/8.36 | | | | | | | | | | | | | | | | | (24), (27), (1368) gives: % 51.61/8.36 | | | | | | | | | | | | | | | | | (1415) ? [v0: $i] : (product(v0, all_8_3) = all_8_3 & % 51.61/8.36 | | | | | | | | | | | | | | | | | product(all_8_5, all_8_1) = v0 & $i(v0)) % 51.61/8.36 | | | | | | | | | | | | | | | | | % 51.61/8.36 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with all_8_1, all_8_3, all_8_1, % 51.61/8.36 | | | | | | | | | | | | | | | | | all_8_6, all_8_1, simplifying with (23), (24), % 51.61/8.36 | | | | | | | | | | | | | | | | | (449), (1368) gives: % 51.61/8.36 | | | | | | | | | | | | | | | | | (1416) ? [v0: $i] : (product(all_8_1, v0) = all_8_1 & % 51.61/8.36 | | | | | | | | | | | | | | | | | product(all_8_3, all_8_1) = v0 & $i(v0)) % 51.61/8.36 | | | | | | | | | | | | | | | | | % 51.61/8.36 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with all_8_5, all_8_3, all_8_1, % 51.61/8.36 | | | | | | | | | | | | | | | | | all_8_6, all_8_1, simplifying with (22), (23), % 51.61/8.36 | | | | | | | | | | | | | | | | | (24), (25), (1368) gives: % 51.61/8.36 | | | | | | | | | | | | | | | | | (1417) ? [v0: $i] : (product(all_8_1, v0) = all_8_1 & % 51.61/8.36 | | | | | | | | | | | | | | | | | product(all_8_3, all_8_5) = v0 & $i(v0)) % 51.61/8.36 | | | | | | | | | | | | | | | | | % 51.61/8.36 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (1) with all_8_3, all_8_1, all_8_1, % 51.61/8.36 | | | | | | | | | | | | | | | | | all_8_6, all_8_6, simplifying with (23), (24), % 51.61/8.36 | | | | | | | | | | | | | | | | | (1368), (1369) gives: % 51.61/8.36 | | | | | | | | | | | | | | | | | (1418) ? [v0: $i] : (product(v0, all_8_3) = all_8_6 & % 51.61/8.36 | | | | | | | | | | | | | | | | | product(all_8_1, all_8_1) = v0 & $i(v0) & % 51.61/8.36 | | | | | | | | | | | | | | | | | $i(all_8_6)) % 51.61/8.36 | | | | | | | | | | | | | | | | | % 51.61/8.36 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with all_8_3, all_8_3, all_8_1, % 51.61/8.36 | | | | | | | | | | | | | | | | | all_8_6, all_8_6, simplifying with (23), (24), % 51.61/8.36 | | | | | | | | | | | | | | | | | (1368), (1370) gives: % 51.61/8.36 | | | | | | | | | | | | | | | | | (1419) ? [v0: $i] : (product(all_8_1, v0) = all_8_6 & % 51.61/8.36 | | | | | | | | | | | | | | | | | product(all_8_3, all_8_3) = v0 & $i(v0) & % 51.61/8.36 | | | | | | | | | | | | | | | | | $i(all_8_6)) % 51.61/8.36 | | | | | | | | | | | | | | | | | % 51.61/8.36 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (13) with all_8_3, all_8_1, all_8_6, % 51.61/8.36 | | | | | | | | | | | | | | | | | simplifying with (23), (24), (1368) gives: % 51.61/8.36 | | | | | | | | | | | | | | | | | (1420) ? [v0: any] : ? [v1: $i] : (r(all_8_3, all_8_1) % 51.61/8.36 | | | | | | | | | | | | | | | | | = v0 & product(all_8_3, all_8_1) = v1 & $i(v1) & % 51.61/8.36 | | | | | | | | | | | | | | | | | ( ~ (v0 = 0) | (v1 = all_8_1 & all_8_3 = % 51.61/8.36 | | | | | | | | | | | | | | | | | all_8_6))) % 51.61/8.36 | | | | | | | | | | | | | | | | | % 51.61/8.36 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (7) with all_8_3, all_8_1, all_8_6, % 51.61/8.36 | | | | | | | | | | | | | | | | | simplifying with (23), (24), (1368) gives: % 51.61/8.36 | | | | | | | | | | | | | | | | | (1421) ? [v0: any] : ? [v1: $i] : (l(all_8_3, all_8_1) % 51.61/8.36 | | | | | | | | | | | | | | | | | = v0 & product(all_8_3, all_8_1) = v1 & $i(v1) & % 51.61/8.36 | | | | | | | | | | | | | | | | | ( ~ (v0 = 0) | (v1 = all_8_3 & all_8_1 = % 51.61/8.36 | | | | | | | | | | | | | | | | | all_8_6))) % 51.61/8.36 | | | | | | | | | | | | | | | | | % 51.61/8.36 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (12) with all_8_1, all_8_3, all_8_6, % 51.61/8.36 | | | | | | | | | | | | | | | | | simplifying with (23), (24), (1368) gives: % 51.61/8.37 | | | | | | | | | | | | | | | | | (1422) ? [v0: any] : ? [v1: $i] : (r(all_8_1, all_8_3) % 51.61/8.37 | | | | | | | | | | | | | | | | | = v0 & product(all_8_3, all_8_1) = v1 & $i(v1) & % 51.61/8.37 | | | | | | | | | | | | | | | | | ( ~ (v0 = 0) | (v1 = all_8_1 & all_8_3 = % 51.61/8.37 | | | | | | | | | | | | | | | | | all_8_6))) % 51.61/8.37 | | | | | | | | | | | | | | | | | % 51.61/8.37 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (6) with all_8_1, all_8_3, all_8_6, % 51.61/8.37 | | | | | | | | | | | | | | | | | simplifying with (23), (24), (1368) gives: % 51.61/8.37 | | | | | | | | | | | | | | | | | (1423) ? [v0: any] : ? [v1: $i] : (l(all_8_1, all_8_3) % 51.61/8.37 | | | | | | | | | | | | | | | | | = v0 & product(all_8_3, all_8_1) = v1 & $i(v1) & % 51.61/8.37 | | | | | | | | | | | | | | | | | ( ~ (v0 = 0) | (v1 = all_8_3 & all_8_1 = % 51.61/8.37 | | | | | | | | | | | | | | | | | all_8_6))) % 51.61/8.37 | | | | | | | | | | | | | | | | | % 51.61/8.37 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (15) with all_8_6, all_8_5, % 51.61/8.37 | | | | | | | | | | | | | | | | | simplifying with (21), (22), (680) gives: % 51.61/8.37 | | | | | | | | | | | | | | | | | (1424) ? [v0: $i] : (r(all_8_6, v0) = 0 & l(v0, all_8_5) % 51.61/8.37 | | | | | | | | | | | | | | | | | = 0 & $i(v0)) % 51.61/8.37 | | | | | | | | | | | | | | | | | % 51.61/8.37 | | | | | | | | | | | | | | | | | DELTA: instantiating (1424) with fresh symbol all_380_0 % 51.61/8.37 | | | | | | | | | | | | | | | | | gives: % 51.61/8.37 | | | | | | | | | | | | | | | | | (1425) r(all_8_6, all_380_0) = 0 & l(all_380_0, all_8_5) % 51.61/8.37 | | | | | | | | | | | | | | | | | = 0 & $i(all_380_0) % 51.61/8.37 | | | | | | | | | | | | | | | | | % 51.61/8.37 | | | | | | | | | | | | | | | | | ALPHA: (1425) implies: % 51.61/8.37 | | | | | | | | | | | | | | | | | (1426) $i(all_380_0) % 51.61/8.37 | | | | | | | | | | | | | | | | | (1427) l(all_380_0, all_8_5) = 0 % 51.61/8.37 | | | | | | | | | | | | | | | | | (1428) r(all_8_6, all_380_0) = 0 % 51.61/8.37 | | | | | | | | | | | | | | | | | % 51.61/8.37 | | | | | | | | | | | | | | | | | DELTA: instantiating (1417) with fresh symbol all_382_0 % 51.61/8.37 | | | | | | | | | | | | | | | | | gives: % 51.61/8.37 | | | | | | | | | | | | | | | | | (1429) product(all_8_1, all_382_0) = all_8_1 & % 51.61/8.37 | | | | | | | | | | | | | | | | | product(all_8_3, all_8_5) = all_382_0 & % 51.61/8.37 | | | | | | | | | | | | | | | | | $i(all_382_0) % 51.61/8.37 | | | | | | | | | | | | | | | | | % 51.61/8.37 | | | | | | | | | | | | | | | | | ALPHA: (1429) implies: % 51.61/8.37 | | | | | | | | | | | | | | | | | (1430) $i(all_382_0) % 51.61/8.37 | | | | | | | | | | | | | | | | | (1431) product(all_8_3, all_8_5) = all_382_0 % 51.61/8.37 | | | | | | | | | | | | | | | | | (1432) product(all_8_1, all_382_0) = all_8_1 % 51.61/8.37 | | | | | | | | | | | | | | | | | % 51.61/8.37 | | | | | | | | | | | | | | | | | DELTA: instantiating (1416) with fresh symbol all_384_0 % 51.61/8.37 | | | | | | | | | | | | | | | | | gives: % 51.61/8.37 | | | | | | | | | | | | | | | | | (1433) product(all_8_1, all_384_0) = all_8_1 & % 51.61/8.37 | | | | | | | | | | | | | | | | | product(all_8_3, all_8_1) = all_384_0 & % 51.61/8.37 | | | | | | | | | | | | | | | | | $i(all_384_0) % 51.61/8.37 | | | | | | | | | | | | | | | | | % 51.61/8.37 | | | | | | | | | | | | | | | | | ALPHA: (1433) implies: % 51.61/8.37 | | | | | | | | | | | | | | | | | (1434) product(all_8_3, all_8_1) = all_384_0 % 51.61/8.37 | | | | | | | | | | | | | | | | | % 51.61/8.37 | | | | | | | | | | | | | | | | | DELTA: instantiating (1408) with fresh symbol all_386_0 % 51.61/8.37 | | | | | | | | | | | | | | | | | gives: % 51.61/8.37 | | | | | | | | | | | | | | | | | (1435) product(all_8_3, all_8_3) = all_386_0 & % 51.61/8.37 | | | | | | | | | | | | | | | | | product(all_8_6, all_386_0) = all_8_6 & % 51.61/8.37 | | | | | | | | | | | | | | | | | $i(all_386_0) % 51.61/8.37 | | | | | | | | | | | | | | | | | % 51.61/8.37 | | | | | | | | | | | | | | | | | ALPHA: (1435) implies: % 51.61/8.37 | | | | | | | | | | | | | | | | | (1436) product(all_8_6, all_386_0) = all_8_6 % 51.61/8.37 | | | | | | | | | | | | | | | | | (1437) product(all_8_3, all_8_3) = all_386_0 % 51.61/8.37 | | | | | | | | | | | | | | | | | % 51.61/8.37 | | | | | | | | | | | | | | | | | DELTA: instantiating (1406) with fresh symbol all_388_0 % 51.61/8.37 | | | | | | | | | | | | | | | | | gives: % 51.61/8.37 | | | | | | | | | | | | | | | | | (1438) product(all_8_3, all_8_1) = all_388_0 & % 51.61/8.37 | | | | | | | | | | | | | | | | | product(all_8_6, all_388_0) = all_8_1 & % 51.61/8.37 | | | | | | | | | | | | | | | | | $i(all_388_0) % 51.61/8.37 | | | | | | | | | | | | | | | | | % 51.61/8.37 | | | | | | | | | | | | | | | | | ALPHA: (1438) implies: % 51.61/8.37 | | | | | | | | | | | | | | | | | (1439) product(all_8_6, all_388_0) = all_8_1 % 51.61/8.37 | | | | | | | | | | | | | | | | | (1440) product(all_8_3, all_8_1) = all_388_0 % 51.61/8.37 | | | | | | | | | | | | | | | | | % 51.61/8.37 | | | | | | | | | | | | | | | | | DELTA: instantiating (1405) with fresh symbol all_390_0 % 51.61/8.37 | | | | | | | | | | | | | | | | | gives: % 51.61/8.37 | | | | | | | | | | | | | | | | | (1441) product(all_390_0, all_8_3) = all_8_3 & % 51.61/8.37 | | | | | | | | | | | | | | | | | product(all_8_5, all_8_6) = all_390_0 & % 51.61/8.37 | | | | | | | | | | | | | | | | | $i(all_390_0) % 51.61/8.37 | | | | | | | | | | | | | | | | | % 51.61/8.37 | | | | | | | | | | | | | | | | | ALPHA: (1441) implies: % 51.61/8.37 | | | | | | | | | | | | | | | | | (1442) product(all_8_5, all_8_6) = all_390_0 % 51.61/8.37 | | | | | | | | | | | | | | | | | (1443) product(all_390_0, all_8_3) = all_8_3 % 51.61/8.37 | | | | | | | | | | | | | | | | | % 51.61/8.37 | | | | | | | | | | | | | | | | | DELTA: instantiating (1413) with fresh symbol all_392_0 % 51.61/8.37 | | | | | | | | | | | | | | | | | gives: % 51.61/8.37 | | | | | | | | | | | | | | | | | (1444) product(all_392_0, all_8_6) = all_8_6 & % 51.61/8.37 | | | | | | | | | | | | | | | | | product(all_8_1, all_8_1) = all_392_0 & % 51.61/8.37 | | | | | | | | | | | | | | | | | $i(all_392_0) % 51.61/8.37 | | | | | | | | | | | | | | | | | % 51.61/8.37 | | | | | | | | | | | | | | | | | ALPHA: (1444) implies: % 51.61/8.37 | | | | | | | | | | | | | | | | | (1445) product(all_8_1, all_8_1) = all_392_0 % 51.61/8.37 | | | | | | | | | | | | | | | | | (1446) product(all_392_0, all_8_6) = all_8_6 % 51.61/8.37 | | | | | | | | | | | | | | | | | % 51.61/8.37 | | | | | | | | | | | | | | | | | DELTA: instantiating (1412) with fresh symbol all_394_0 % 51.61/8.37 | | | | | | | | | | | | | | | | | gives: % 51.61/8.37 | | | | | | | | | | | | | | | | | (1447) product(all_8_1, all_394_0) = all_8_1 & % 51.61/8.37 | | | | | | | | | | | | | | | | | product(all_8_6, all_8_5) = all_394_0 & % 51.61/8.37 | | | | | | | | | | | | | | | | | $i(all_394_0) % 51.61/8.37 | | | | | | | | | | | | | | | | | % 51.61/8.37 | | | | | | | | | | | | | | | | | ALPHA: (1447) implies: % 51.61/8.37 | | | | | | | | | | | | | | | | | (1448) product(all_8_6, all_8_5) = all_394_0 % 51.61/8.37 | | | | | | | | | | | | | | | | | (1449) product(all_8_1, all_394_0) = all_8_1 % 51.61/8.37 | | | | | | | | | | | | | | | | | % 51.61/8.37 | | | | | | | | | | | | | | | | | DELTA: instantiating (1411) with fresh symbol all_396_0 % 51.61/8.37 | | | | | | | | | | | | | | | | | gives: % 51.61/8.37 | | | | | | | | | | | | | | | | | (1450) product(all_8_1, all_396_0) = all_8_1 & % 51.61/8.37 | | | | | | | | | | | | | | | | | product(all_8_6, all_8_1) = all_396_0 & % 51.61/8.37 | | | | | | | | | | | | | | | | | $i(all_396_0) % 51.61/8.37 | | | | | | | | | | | | | | | | | % 51.61/8.37 | | | | | | | | | | | | | | | | | ALPHA: (1450) implies: % 51.61/8.37 | | | | | | | | | | | | | | | | | (1451) product(all_8_6, all_8_1) = all_396_0 % 51.61/8.37 | | | | | | | | | | | | | | | | | % 51.61/8.37 | | | | | | | | | | | | | | | | | DELTA: instantiating (1415) with fresh symbol all_398_0 % 51.61/8.37 | | | | | | | | | | | | | | | | | gives: % 51.61/8.37 | | | | | | | | | | | | | | | | | (1452) product(all_398_0, all_8_3) = all_8_3 & % 51.61/8.37 | | | | | | | | | | | | | | | | | product(all_8_5, all_8_1) = all_398_0 & % 51.61/8.37 | | | | | | | | | | | | | | | | | $i(all_398_0) % 51.61/8.37 | | | | | | | | | | | | | | | | | % 51.61/8.37 | | | | | | | | | | | | | | | | | ALPHA: (1452) implies: % 51.61/8.37 | | | | | | | | | | | | | | | | | (1453) product(all_8_5, all_8_1) = all_398_0 % 51.61/8.37 | | | | | | | | | | | | | | | | | (1454) product(all_398_0, all_8_3) = all_8_3 % 51.61/8.37 | | | | | | | | | | | | | | | | | % 51.61/8.37 | | | | | | | | | | | | | | | | | DELTA: instantiating (1409) with fresh symbol all_400_0 % 51.61/8.37 | | | | | | | | | | | | | | | | | gives: % 51.61/8.37 | | | | | | | | | | | | | | | | | (1455) product(all_400_0, all_8_6) = all_8_3 & % 51.61/8.37 | | | | | | | | | | | | | | | | | product(all_8_3, all_8_1) = all_400_0 & % 51.61/8.37 | | | | | | | | | | | | | | | | | $i(all_400_0) % 51.61/8.37 | | | | | | | | | | | | | | | | | % 51.61/8.37 | | | | | | | | | | | | | | | | | ALPHA: (1455) implies: % 51.61/8.37 | | | | | | | | | | | | | | | | | (1456) product(all_8_3, all_8_1) = all_400_0 % 51.61/8.37 | | | | | | | | | | | | | | | | | (1457) product(all_400_0, all_8_6) = all_8_3 % 51.61/8.37 | | | | | | | | | | | | | | | | | % 51.61/8.37 | | | | | | | | | | | | | | | | | DELTA: instantiating (1414) with fresh symbol all_402_0 % 51.61/8.37 | | | | | | | | | | | | | | | | | gives: % 51.61/8.37 | | | | | | | | | | | | | | | | | (1458) product(all_402_0, all_8_3) = all_8_3 & % 51.61/8.37 | | | | | | | | | | | | | | | | | product(all_8_3, all_8_1) = all_402_0 & % 51.61/8.37 | | | | | | | | | | | | | | | | | $i(all_402_0) % 51.61/8.37 | | | | | | | | | | | | | | | | | % 51.61/8.37 | | | | | | | | | | | | | | | | | ALPHA: (1458) implies: % 51.61/8.37 | | | | | | | | | | | | | | | | | (1459) product(all_8_3, all_8_1) = all_402_0 % 51.61/8.37 | | | | | | | | | | | | | | | | | % 51.61/8.37 | | | | | | | | | | | | | | | | | DELTA: instantiating (1404) with fresh symbol all_404_0 % 51.61/8.37 | | | | | | | | | | | | | | | | | gives: % 51.61/8.37 | | | | | | | | | | | | | | | | | (1460) product(all_404_0, all_8_3) = all_8_3 & % 51.61/8.37 | | | | | | | | | | | | | | | | | product(all_8_3, all_8_6) = all_404_0 & % 51.61/8.37 | | | | | | | | | | | | | | | | | $i(all_404_0) % 51.61/8.37 | | | | | | | | | | | | | | | | | % 51.61/8.37 | | | | | | | | | | | | | | | | | ALPHA: (1460) implies: % 51.61/8.37 | | | | | | | | | | | | | | | | | (1461) product(all_8_3, all_8_6) = all_404_0 % 51.61/8.37 | | | | | | | | | | | | | | | | | % 51.61/8.37 | | | | | | | | | | | | | | | | | DELTA: instantiating (1410) with fresh symbol all_406_0 % 51.61/8.37 | | | | | | | | | | | | | | | | | gives: % 51.61/8.37 | | | | | | | | | | | | | | | | | (1462) product(all_406_0, all_8_6) = all_8_3 & % 51.61/8.37 | | | | | | | | | | | | | | | | | product(all_8_5, all_8_1) = all_406_0 & % 51.61/8.37 | | | | | | | | | | | | | | | | | $i(all_406_0) & $i(all_8_3) % 51.61/8.37 | | | | | | | | | | | | | | | | | % 51.61/8.37 | | | | | | | | | | | | | | | | | ALPHA: (1462) implies: % 51.61/8.37 | | | | | | | | | | | | | | | | | (1463) product(all_8_5, all_8_1) = all_406_0 % 51.61/8.37 | | | | | | | | | | | | | | | | | % 51.61/8.37 | | | | | | | | | | | | | | | | | DELTA: instantiating (1419) with fresh symbol all_408_0 % 51.61/8.37 | | | | | | | | | | | | | | | | | gives: % 51.61/8.37 | | | | | | | | | | | | | | | | | (1464) product(all_8_1, all_408_0) = all_8_6 & % 51.61/8.37 | | | | | | | | | | | | | | | | | product(all_8_3, all_8_3) = all_408_0 & % 51.61/8.37 | | | | | | | | | | | | | | | | | $i(all_408_0) & $i(all_8_6) % 51.61/8.37 | | | | | | | | | | | | | | | | | % 51.61/8.37 | | | | | | | | | | | | | | | | | ALPHA: (1464) implies: % 51.61/8.37 | | | | | | | | | | | | | | | | | (1465) $i(all_408_0) % 51.61/8.37 | | | | | | | | | | | | | | | | | (1466) product(all_8_3, all_8_3) = all_408_0 % 51.61/8.37 | | | | | | | | | | | | | | | | | (1467) product(all_8_1, all_408_0) = all_8_6 % 51.61/8.37 | | | | | | | | | | | | | | | | | % 51.61/8.37 | | | | | | | | | | | | | | | | | DELTA: instantiating (1407) with fresh symbol all_410_0 % 51.61/8.37 | | | | | | | | | | | | | | | | | gives: % 51.61/8.37 | | | | | | | | | | | | | | | | | (1468) product(all_8_3, all_8_5) = all_410_0 & % 51.61/8.37 | | | | | | | | | | | | | | | | | product(all_8_6, all_410_0) = all_8_1 & % 51.61/8.37 | | | | | | | | | | | | | | | | | $i(all_410_0) & $i(all_8_1) % 51.61/8.37 | | | | | | | | | | | | | | | | | % 51.61/8.37 | | | | | | | | | | | | | | | | | ALPHA: (1468) implies: % 51.61/8.37 | | | | | | | | | | | | | | | | | (1469) product(all_8_3, all_8_5) = all_410_0 % 51.61/8.37 | | | | | | | | | | | | | | | | | % 51.61/8.37 | | | | | | | | | | | | | | | | | DELTA: instantiating (1418) with fresh symbol all_412_0 % 51.61/8.37 | | | | | | | | | | | | | | | | | gives: % 51.70/8.37 | | | | | | | | | | | | | | | | | (1470) product(all_412_0, all_8_3) = all_8_6 & % 51.70/8.37 | | | | | | | | | | | | | | | | | product(all_8_1, all_8_1) = all_412_0 & % 51.70/8.37 | | | | | | | | | | | | | | | | | $i(all_412_0) & $i(all_8_6) % 51.70/8.37 | | | | | | | | | | | | | | | | | % 51.70/8.37 | | | | | | | | | | | | | | | | | ALPHA: (1470) implies: % 51.70/8.37 | | | | | | | | | | | | | | | | | (1471) $i(all_412_0) % 51.70/8.37 | | | | | | | | | | | | | | | | | (1472) product(all_8_1, all_8_1) = all_412_0 % 51.70/8.37 | | | | | | | | | | | | | | | | | % 51.70/8.37 | | | | | | | | | | | | | | | | | DELTA: instantiating (1421) with fresh symbols all_430_0, % 51.70/8.37 | | | | | | | | | | | | | | | | | all_430_1 gives: % 51.70/8.37 | | | | | | | | | | | | | | | | | (1473) l(all_8_3, all_8_1) = all_430_1 & product(all_8_3, % 51.70/8.37 | | | | | | | | | | | | | | | | | all_8_1) = all_430_0 & $i(all_430_0) & ( ~ % 51.70/8.37 | | | | | | | | | | | | | | | | | (all_430_1 = 0) | (all_430_0 = all_8_3 & all_8_1 % 51.70/8.37 | | | | | | | | | | | | | | | | | = all_8_6)) % 51.70/8.37 | | | | | | | | | | | | | | | | | % 51.70/8.37 | | | | | | | | | | | | | | | | | ALPHA: (1473) implies: % 51.70/8.37 | | | | | | | | | | | | | | | | | (1474) product(all_8_3, all_8_1) = all_430_0 % 51.70/8.37 | | | | | | | | | | | | | | | | | % 51.70/8.37 | | | | | | | | | | | | | | | | | DELTA: instantiating (1420) with fresh symbols all_432_0, % 51.70/8.37 | | | | | | | | | | | | | | | | | all_432_1 gives: % 51.70/8.37 | | | | | | | | | | | | | | | | | (1475) r(all_8_3, all_8_1) = all_432_1 & product(all_8_3, % 51.70/8.37 | | | | | | | | | | | | | | | | | all_8_1) = all_432_0 & $i(all_432_0) & ( ~ % 51.70/8.37 | | | | | | | | | | | | | | | | | (all_432_1 = 0) | (all_432_0 = all_8_1 & all_8_3 % 51.70/8.37 | | | | | | | | | | | | | | | | | = all_8_6)) % 51.70/8.37 | | | | | | | | | | | | | | | | | % 51.70/8.37 | | | | | | | | | | | | | | | | | ALPHA: (1475) implies: % 51.70/8.37 | | | | | | | | | | | | | | | | | (1476) product(all_8_3, all_8_1) = all_432_0 % 51.70/8.37 | | | | | | | | | | | | | | | | | % 51.70/8.37 | | | | | | | | | | | | | | | | | DELTA: instantiating (1423) with fresh symbols all_440_0, % 51.70/8.37 | | | | | | | | | | | | | | | | | all_440_1 gives: % 51.70/8.37 | | | | | | | | | | | | | | | | | (1477) l(all_8_1, all_8_3) = all_440_1 & product(all_8_3, % 51.70/8.37 | | | | | | | | | | | | | | | | | all_8_1) = all_440_0 & $i(all_440_0) & ( ~ % 51.70/8.37 | | | | | | | | | | | | | | | | | (all_440_1 = 0) | (all_440_0 = all_8_3 & all_8_1 % 51.70/8.37 | | | | | | | | | | | | | | | | | = all_8_6)) % 51.70/8.37 | | | | | | | | | | | | | | | | | % 51.70/8.37 | | | | | | | | | | | | | | | | | ALPHA: (1477) implies: % 51.70/8.37 | | | | | | | | | | | | | | | | | (1478) product(all_8_3, all_8_1) = all_440_0 % 51.70/8.37 | | | | | | | | | | | | | | | | | (1479) ~ (all_440_1 = 0) | (all_440_0 = all_8_3 & % 51.70/8.37 | | | | | | | | | | | | | | | | | all_8_1 = all_8_6) % 51.70/8.37 | | | | | | | | | | | | | | | | | % 51.70/8.37 | | | | | | | | | | | | | | | | | DELTA: instantiating (1422) with fresh symbols all_442_0, % 51.70/8.37 | | | | | | | | | | | | | | | | | all_442_1 gives: % 51.70/8.37 | | | | | | | | | | | | | | | | | (1480) r(all_8_1, all_8_3) = all_442_1 & product(all_8_3, % 51.70/8.37 | | | | | | | | | | | | | | | | | all_8_1) = all_442_0 & $i(all_442_0) & ( ~ % 51.70/8.37 | | | | | | | | | | | | | | | | | (all_442_1 = 0) | (all_442_0 = all_8_1 & all_8_3 % 51.70/8.37 | | | | | | | | | | | | | | | | | = all_8_6)) % 51.70/8.37 | | | | | | | | | | | | | | | | | % 51.70/8.37 | | | | | | | | | | | | | | | | | ALPHA: (1480) implies: % 51.70/8.37 | | | | | | | | | | | | | | | | | (1481) product(all_8_3, all_8_1) = all_442_0 % 51.70/8.37 | | | | | | | | | | | | | | | | | % 51.70/8.37 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (17) with all_8_1, all_394_0, % 51.70/8.37 | | | | | | | | | | | | | | | | | all_8_5, all_8_6, simplifying with (25), (1448) % 51.70/8.37 | | | | | | | | | | | | | | | | | gives: % 51.70/8.37 | | | | | | | | | | | | | | | | | (1482) all_394_0 = all_8_1 % 51.70/8.37 | | | | | | | | | | | | | | | | | % 51.70/8.37 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (17) with all_8_1, all_396_0, % 51.70/8.37 | | | | | | | | | | | | | | | | | all_8_1, all_8_6, simplifying with (449), (1451) % 51.70/8.37 | | | | | | | | | | | | | | | | | gives: % 51.70/8.37 | | | | | | | | | | | | | | | | | (1483) all_396_0 = all_8_1 % 51.70/8.37 | | | | | | | | | | | | | | | | | % 51.70/8.37 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (17) with all_8_3, all_390_0, % 51.70/8.37 | | | | | | | | | | | | | | | | | all_8_6, all_8_5, simplifying with (27), (1442) % 51.70/8.37 | | | | | | | | | | | | | | | | | gives: % 51.70/8.37 | | | | | | | | | | | | | | | | | (1484) all_390_0 = all_8_3 % 51.70/8.37 | | | | | | | | | | | | | | | | | % 51.70/8.37 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (17) with all_8_0, all_406_0, % 51.70/8.37 | | | | | | | | | | | | | | | | | all_8_1, all_8_5, simplifying with (28), (1463) % 51.70/8.37 | | | | | | | | | | | | | | | | | gives: % 51.70/8.37 | | | | | | | | | | | | | | | | | (1485) all_406_0 = all_8_0 % 51.70/8.37 | | | | | | | | | | | | | | | | | % 51.70/8.37 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (17) with all_398_0, all_406_0, % 51.70/8.37 | | | | | | | | | | | | | | | | | all_8_1, all_8_5, simplifying with (1453), (1463) % 51.70/8.37 | | | | | | | | | | | | | | | | | gives: % 51.70/8.37 | | | | | | | | | | | | | | | | | (1486) all_406_0 = all_398_0 % 51.70/8.37 | | | | | | | | | | | | | | | | | % 51.70/8.37 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (17) with all_8_3, all_404_0, % 51.70/8.37 | | | | | | | | | | | | | | | | | all_8_6, all_8_3, simplifying with (444), (1461) % 51.70/8.37 | | | | | | | | | | | | | | | | | gives: % 51.70/8.37 | | | | | | | | | | | | | | | | | (1487) all_404_0 = all_8_3 % 51.70/8.37 | | | | | | | | | | | | | | | | | % 51.70/8.37 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (17) with all_8_0, all_410_0, % 51.70/8.37 | | | | | | | | | | | | | | | | | all_8_5, all_8_3, simplifying with (158), (1469) % 51.70/8.37 | | | | | | | | | | | | | | | | | gives: % 51.70/8.37 | | | | | | | | | | | | | | | | | (1488) all_410_0 = all_8_0 % 51.70/8.37 | | | | | | | | | | | | | | | | | % 51.70/8.37 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (17) with all_382_0, all_410_0, % 51.70/8.37 | | | | | | | | | | | | | | | | | all_8_5, all_8_3, simplifying with (1431), (1469) % 51.70/8.37 | | | | | | | | | | | | | | | | | gives: % 51.70/8.37 | | | | | | | | | | | | | | | | | (1489) all_410_0 = all_382_0 % 51.70/8.37 | | | | | | | | | | | | | | | | | % 51.70/8.37 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (17) with all_386_0, all_408_0, % 51.70/8.37 | | | | | | | | | | | | | | | | | all_8_3, all_8_3, simplifying with (1437), (1466) % 51.70/8.37 | | | | | | | | | | | | | | | | | gives: % 51.70/8.37 | | | | | | | | | | | | | | | | | (1490) all_408_0 = all_386_0 % 51.70/8.37 | | | | | | | | | | | | | | | | | % 51.70/8.38 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (17) with all_402_0, all_430_0, % 51.70/8.38 | | | | | | | | | | | | | | | | | all_8_1, all_8_3, simplifying with (1459), (1474) % 51.70/8.38 | | | | | | | | | | | | | | | | | gives: % 51.70/8.38 | | | | | | | | | | | | | | | | | (1491) all_430_0 = all_402_0 % 51.70/8.38 | | | | | | | | | | | | | | | | | % 51.70/8.38 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (17) with all_384_0, all_430_0, % 51.70/8.38 | | | | | | | | | | | | | | | | | all_8_1, all_8_3, simplifying with (1434), (1474) % 51.70/8.38 | | | | | | | | | | | | | | | | | gives: % 51.70/8.38 | | | | | | | | | | | | | | | | | (1492) all_430_0 = all_384_0 % 51.70/8.38 | | | | | | | | | | | | | | | | | % 51.70/8.38 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (17) with all_8_0, all_440_0, % 51.70/8.38 | | | | | | | | | | | | | | | | | all_8_1, all_8_3, simplifying with (601), (1478) % 51.70/8.38 | | | | | | | | | | | | | | | | | gives: % 51.70/8.38 | | | | | | | | | | | | | | | | | (1493) all_440_0 = all_8_0 % 51.70/8.38 | | | | | | | | | | | | | | | | | % 51.70/8.38 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (17) with all_400_0, all_440_0, % 51.70/8.38 | | | | | | | | | | | | | | | | | all_8_1, all_8_3, simplifying with (1456), (1478) % 51.70/8.38 | | | | | | | | | | | | | | | | | gives: % 51.70/8.38 | | | | | | | | | | | | | | | | | (1494) all_440_0 = all_400_0 % 51.70/8.38 | | | | | | | | | | | | | | | | | % 51.70/8.38 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (17) with all_432_0, all_442_0, % 51.70/8.38 | | | | | | | | | | | | | | | | | all_8_1, all_8_3, simplifying with (1476), (1481) % 51.70/8.38 | | | | | | | | | | | | | | | | | gives: % 51.70/8.38 | | | | | | | | | | | | | | | | | (1495) all_442_0 = all_432_0 % 51.70/8.38 | | | | | | | | | | | | | | | | | % 51.70/8.38 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (17) with all_402_0, all_442_0, % 51.70/8.38 | | | | | | | | | | | | | | | | | all_8_1, all_8_3, simplifying with (1459), (1481) % 51.70/8.38 | | | | | | | | | | | | | | | | | gives: % 51.70/8.38 | | | | | | | | | | | | | | | | | (1496) all_442_0 = all_402_0 % 51.70/8.38 | | | | | | | | | | | | | | | | | % 51.70/8.38 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (17) with all_400_0, all_442_0, % 51.70/8.38 | | | | | | | | | | | | | | | | | all_8_1, all_8_3, simplifying with (1456), (1481) % 51.70/8.38 | | | | | | | | | | | | | | | | | gives: % 51.70/8.38 | | | | | | | | | | | | | | | | | (1497) all_442_0 = all_400_0 % 51.70/8.38 | | | | | | | | | | | | | | | | | % 51.70/8.38 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (17) with all_388_0, all_442_0, % 51.70/8.38 | | | | | | | | | | | | | | | | | all_8_1, all_8_3, simplifying with (1440), (1481) % 51.70/8.38 | | | | | | | | | | | | | | | | | gives: % 51.70/8.38 | | | | | | | | | | | | | | | | | (1498) all_442_0 = all_388_0 % 51.70/8.38 | | | | | | | | | | | | | | | | | % 51.70/8.38 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (17) with all_392_0, all_412_0, % 51.70/8.38 | | | | | | | | | | | | | | | | | all_8_1, all_8_1, simplifying with (1445), (1472) % 51.70/8.38 | | | | | | | | | | | | | | | | | gives: % 51.70/8.38 | | | | | | | | | | | | | | | | | (1499) all_412_0 = all_392_0 % 51.70/8.38 | | | | | | | | | | | | | | | | | % 51.70/8.38 | | | | | | | | | | | | | | | | | COMBINE_EQS: (1495), (1498) imply: % 51.70/8.38 | | | | | | | | | | | | | | | | | (1500) all_432_0 = all_388_0 % 51.70/8.38 | | | | | | | | | | | | | | | | | % 51.70/8.38 | | | | | | | | | | | | | | | | | COMBINE_EQS: (1495), (1497) imply: % 51.70/8.38 | | | | | | | | | | | | | | | | | (1501) all_432_0 = all_400_0 % 51.70/8.38 | | | | | | | | | | | | | | | | | % 51.70/8.38 | | | | | | | | | | | | | | | | | COMBINE_EQS: (1495), (1496) imply: % 51.70/8.38 | | | | | | | | | | | | | | | | | (1502) all_432_0 = all_402_0 % 51.70/8.38 | | | | | | | | | | | | | | | | | % 51.70/8.38 | | | | | | | | | | | | | | | | | COMBINE_EQS: (1493), (1494) imply: % 51.70/8.38 | | | | | | | | | | | | | | | | | (1503) all_400_0 = all_8_0 % 51.70/8.38 | | | | | | | | | | | | | | | | | % 51.70/8.38 | | | | | | | | | | | | | | | | | SIMP: (1503) implies: % 51.70/8.38 | | | | | | | | | | | | | | | | | (1504) all_400_0 = all_8_0 % 51.70/8.38 | | | | | | | | | | | | | | | | | % 51.70/8.38 | | | | | | | | | | | | | | | | | COMBINE_EQS: (1500), (1501) imply: % 51.70/8.38 | | | | | | | | | | | | | | | | | (1505) all_400_0 = all_388_0 % 51.70/8.38 | | | | | | | | | | | | | | | | | % 51.70/8.38 | | | | | | | | | | | | | | | | | SIMP: (1505) implies: % 51.70/8.38 | | | | | | | | | | | | | | | | | (1506) all_400_0 = all_388_0 % 51.70/8.38 | | | | | | | | | | | | | | | | | % 51.70/8.38 | | | | | | | | | | | | | | | | | COMBINE_EQS: (1500), (1502) imply: % 51.70/8.38 | | | | | | | | | | | | | | | | | (1507) all_402_0 = all_388_0 % 51.70/8.38 | | | | | | | | | | | | | | | | | % 51.70/8.38 | | | | | | | | | | | | | | | | | SIMP: (1507) implies: % 51.70/8.38 | | | | | | | | | | | | | | | | | (1508) all_402_0 = all_388_0 % 51.70/8.38 | | | | | | | | | | | | | | | | | % 51.70/8.38 | | | | | | | | | | | | | | | | | COMBINE_EQS: (1491), (1492) imply: % 51.70/8.38 | | | | | | | | | | | | | | | | | (1509) all_402_0 = all_384_0 % 51.70/8.38 | | | | | | | | | | | | | | | | | % 51.70/8.38 | | | | | | | | | | | | | | | | | SIMP: (1509) implies: % 51.70/8.38 | | | | | | | | | | | | | | | | | (1510) all_402_0 = all_384_0 % 51.70/8.38 | | | | | | | | | | | | | | | | | % 51.70/8.38 | | | | | | | | | | | | | | | | | COMBINE_EQS: (1488), (1489) imply: % 51.70/8.38 | | | | | | | | | | | | | | | | | (1511) all_382_0 = all_8_0 % 51.70/8.38 | | | | | | | | | | | | | | | | | % 51.70/8.38 | | | | | | | | | | | | | | | | | SIMP: (1511) implies: % 51.70/8.38 | | | | | | | | | | | | | | | | | (1512) all_382_0 = all_8_0 % 51.70/8.38 | | | | | | | | | | | | | | | | | % 51.70/8.38 | | | | | | | | | | | | | | | | | COMBINE_EQS: (1485), (1486) imply: % 51.70/8.38 | | | | | | | | | | | | | | | | | (1513) all_398_0 = all_8_0 % 51.70/8.38 | | | | | | | | | | | | | | | | | % 51.70/8.38 | | | | | | | | | | | | | | | | | SIMP: (1513) implies: % 51.70/8.38 | | | | | | | | | | | | | | | | | (1514) all_398_0 = all_8_0 % 51.70/8.38 | | | | | | | | | | | | | | | | | % 51.70/8.38 | | | | | | | | | | | | | | | | | COMBINE_EQS: (1508), (1510) imply: % 51.70/8.38 | | | | | | | | | | | | | | | | | (1515) all_388_0 = all_384_0 % 51.70/8.38 | | | | | | | | | | | | | | | | | % 51.70/8.38 | | | | | | | | | | | | | | | | | SIMP: (1515) implies: % 51.70/8.38 | | | | | | | | | | | | | | | | | (1516) all_388_0 = all_384_0 % 51.70/8.38 | | | | | | | | | | | | | | | | | % 51.70/8.38 | | | | | | | | | | | | | | | | | COMBINE_EQS: (1504), (1506) imply: % 51.70/8.38 | | | | | | | | | | | | | | | | | (1517) all_388_0 = all_8_0 % 51.70/8.38 | | | | | | | | | | | | | | | | | % 51.70/8.38 | | | | | | | | | | | | | | | | | SIMP: (1517) implies: % 51.70/8.38 | | | | | | | | | | | | | | | | | (1518) all_388_0 = all_8_0 % 51.70/8.38 | | | | | | | | | | | | | | | | | % 51.70/8.38 | | | | | | | | | | | | | | | | | COMBINE_EQS: (1516), (1518) imply: % 51.70/8.38 | | | | | | | | | | | | | | | | | (1519) all_384_0 = all_8_0 % 51.70/8.38 | | | | | | | | | | | | | | | | | % 51.70/8.38 | | | | | | | | | | | | | | | | | REDUCE: (1457), (1504) imply: % 51.70/8.38 | | | | | | | | | | | | | | | | | (1520) product(all_8_0, all_8_6) = all_8_3 % 51.70/8.38 | | | | | | | | | | | | | | | | | % 51.70/8.38 | | | | | | | | | | | | | | | | | REDUCE: (1454), (1514) imply: % 51.70/8.38 | | | | | | | | | | | | | | | | | (1521) product(all_8_0, all_8_3) = all_8_3 % 51.70/8.38 | | | | | | | | | | | | | | | | | % 51.70/8.38 | | | | | | | | | | | | | | | | | REDUCE: (1443), (1484) imply: % 51.70/8.38 | | | | | | | | | | | | | | | | | (1522) product(all_8_3, all_8_3) = all_8_3 % 51.70/8.38 | | | | | | | | | | | | | | | | | % 51.70/8.38 | | | | | | | | | | | | | | | | | REDUCE: (1467), (1490) imply: % 51.70/8.38 | | | | | | | | | | | | | | | | | (1523) product(all_8_1, all_386_0) = all_8_6 % 51.70/8.38 | | | | | | | | | | | | | | | | | % 51.70/8.38 | | | | | | | | | | | | | | | | | REDUCE: (1449), (1482) imply: % 51.70/8.38 | | | | | | | | | | | | | | | | | (1524) product(all_8_1, all_8_1) = all_8_1 % 51.70/8.38 | | | | | | | | | | | | | | | | | % 51.70/8.38 | | | | | | | | | | | | | | | | | REDUCE: (1432), (1512) imply: % 51.70/8.38 | | | | | | | | | | | | | | | | | (1525) product(all_8_1, all_8_0) = all_8_1 % 51.70/8.38 | | | | | | | | | | | | | | | | | % 51.70/8.38 | | | | | | | | | | | | | | | | | REDUCE: (1439), (1518) imply: % 51.70/8.38 | | | | | | | | | | | | | | | | | (1526) product(all_8_6, all_8_0) = all_8_1 % 51.70/8.38 | | | | | | | | | | | | | | | | | % 51.70/8.38 | | | | | | | | | | | | | | | | | REDUCE: (1471), (1499) imply: % 51.70/8.38 | | | | | | | | | | | | | | | | | (1527) $i(all_392_0) % 51.70/8.38 | | | | | | | | | | | | | | | | | % 51.70/8.38 | | | | | | | | | | | | | | | | | REDUCE: (1465), (1490) imply: % 51.70/8.38 | | | | | | | | | | | | | | | | | (1528) $i(all_386_0) % 51.70/8.38 | | | | | | | | | | | | | | | | | % 51.70/8.38 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (17) with all_386_0, all_8_3, % 51.70/8.38 | | | | | | | | | | | | | | | | | all_8_3, all_8_3, simplifying with (1437), (1522) % 51.70/8.38 | | | | | | | | | | | | | | | | | gives: % 51.70/8.38 | | | | | | | | | | | | | | | | | (1529) all_386_0 = all_8_3 % 51.70/8.38 | | | | | | | | | | | | | | | | | % 51.70/8.38 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (17) with all_392_0, all_8_1, % 51.70/8.38 | | | | | | | | | | | | | | | | | all_8_1, all_8_1, simplifying with (1445), (1524) % 51.70/8.38 | | | | | | | | | | | | | | | | | gives: % 51.70/8.38 | | | | | | | | | | | | | | | | | (1530) all_392_0 = all_8_1 % 51.70/8.38 | | | | | | | | | | | | | | | | | % 51.70/8.38 | | | | | | | | | | | | | | | | | BETA: splitting (217) gives: % 51.70/8.38 | | | | | | | | | | | | | | | | | % 51.70/8.38 | | | | | | | | | | | | | | | | | Case 1: % 51.70/8.38 | | | | | | | | | | | | | | | | | | % 51.70/8.38 | | | | | | | | | | | | | | | | | | (1531) ~ (all_80_1 = 0) % 51.70/8.38 | | | | | | | | | | | | | | | | | | % 51.70/8.38 | | | | | | | | | | | | | | | | | | BETA: splitting (299) gives: % 51.70/8.38 | | | | | | | | | | | | | | | | | | % 51.70/8.38 | | | | | | | | | | | | | | | | | | Case 1: % 51.70/8.38 | | | | | | | | | | | | | | | | | | | % 51.70/8.38 | | | | | | | | | | | | | | | | | | | (1532) all_80_1 = 0 % 51.70/8.38 | | | | | | | | | | | | | | | | | | | % 51.70/8.38 | | | | | | | | | | | | | | | | | | | REDUCE: (1531), (1532) imply: % 51.70/8.38 | | | | | | | | | | | | | | | | | | | (1533) $false % 51.70/8.38 | | | | | | | | | | | | | | | | | | | % 51.70/8.38 | | | | | | | | | | | | | | | | | | | CLOSE: (1533) is inconsistent. % 51.70/8.38 | | | | | | | | | | | | | | | | | | | % 51.70/8.38 | | | | | | | | | | | | | | | | | | Case 2: % 51.70/8.38 | | | | | | | | | | | | | | | | | | | % 51.70/8.38 | | | | | | | | | | | | | | | | | | | (1534) ? [v0: $i] : ? [v1: $i] : (product(all_8_1, % 51.70/8.38 | | | | | | | | | | | | | | | | | | | all_8_6) = v0 & product(all_8_6, all_8_1) = v1 % 51.70/8.38 | | | | | | | | | | | | | | | | | | | & $i(v1) & $i(v0) & ( ~ (v1 = all_8_6) | ~ (v0 % 51.70/8.38 | | | | | | | | | | | | | | | | | | | = all_8_1))) % 51.70/8.38 | | | | | | | | | | | | | | | | | | | % 51.70/8.38 | | | | | | | | | | | | | | | | | | | DELTA: instantiating (1534) with fresh symbols all_496_0, % 51.70/8.38 | | | | | | | | | | | | | | | | | | | all_496_1 gives: % 51.70/8.38 | | | | | | | | | | | | | | | | | | | (1535) product(all_8_1, all_8_6) = all_496_1 & % 51.70/8.38 | | | | | | | | | | | | | | | | | | | product(all_8_6, all_8_1) = all_496_0 & % 51.70/8.38 | | | | | | | | | | | | | | | | | | | $i(all_496_0) & $i(all_496_1) & ( ~ (all_496_0 = % 51.70/8.38 | | | | | | | | | | | | | | | | | | | all_8_6) | ~ (all_496_1 = all_8_1)) % 51.70/8.38 | | | | | | | | | | | | | | | | | | | % 51.70/8.38 | | | | | | | | | | | | | | | | | | | ALPHA: (1535) implies: % 51.70/8.38 | | | | | | | | | | | | | | | | | | | (1536) $i(all_496_1) % 51.70/8.38 | | | | | | | | | | | | | | | | | | | (1537) $i(all_496_0) % 51.70/8.38 | | | | | | | | | | | | | | | | | | | (1538) product(all_8_6, all_8_1) = all_496_0 % 51.70/8.38 | | | | | | | | | | | | | | | | | | | (1539) product(all_8_1, all_8_6) = all_496_1 % 51.70/8.38 | | | | | | | | | | | | | | | | | | | (1540) ~ (all_496_0 = all_8_6) | ~ (all_496_1 = % 51.70/8.38 | | | | | | | | | | | | | | | | | | | all_8_1) % 51.70/8.38 | | | | | | | | | | | | | | | | | | | % 51.70/8.38 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (17) with all_8_1, all_496_0, % 51.70/8.38 | | | | | | | | | | | | | | | | | | | all_8_1, all_8_6, simplifying with (449), (1538) % 51.70/8.38 | | | | | | | | | | | | | | | | | | | gives: % 51.70/8.38 | | | | | | | | | | | | | | | | | | | (1541) all_496_0 = all_8_1 % 51.70/8.38 | | | | | | | | | | | | | | | | | | | % 51.70/8.38 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (17) with all_8_6, all_496_1, % 51.70/8.38 | | | | | | | | | | | | | | | | | | | all_8_6, all_8_1, simplifying with (1369), (1539) % 51.70/8.38 | | | | | | | | | | | | | | | | | | | gives: % 51.70/8.38 | | | | | | | | | | | | | | | | | | | (1542) all_496_1 = all_8_6 % 51.70/8.38 | | | | | | | | | | | | | | | | | | | % 51.70/8.38 | | | | | | | | | | | | | | | | | | | BETA: splitting (1540) gives: % 51.70/8.38 | | | | | | | | | | | | | | | | | | | % 51.70/8.38 | | | | | | | | | | | | | | | | | | | Case 1: % 51.70/8.38 | | | | | | | | | | | | | | | | | | | | % 51.70/8.38 | | | | | | | | | | | | | | | | | | | | (1543) ~ (all_496_0 = all_8_6) % 51.70/8.38 | | | | | | | | | | | | | | | | | | | | % 51.70/8.38 | | | | | | | | | | | | | | | | | | | | REDUCE: (1541), (1543) imply: % 51.70/8.38 | | | | | | | | | | | | | | | | | | | | (1544) ~ (all_8_1 = all_8_6) % 51.70/8.38 | | | | | | | | | | | | | | | | | | | | % 51.70/8.38 | | | | | | | | | | | | | | | | | | | | BETA: splitting (1479) gives: % 51.70/8.38 | | | | | | | | | | | | | | | | | | | | % 51.70/8.38 | | | | | | | | | | | | | | | | | | | | Case 1: % 51.70/8.38 | | | | | | | | | | | | | | | | | | | | | % 51.70/8.38 | | | | | | | | | | | | | | | | | | | | | % 51.70/8.38 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with all_8_0, all_8_3, all_8_1, % 51.70/8.38 | | | | | | | | | | | | | | | | | | | | | all_8_6, all_8_1, simplifying with (23), (24), % 51.70/8.38 | | | | | | | | | | | | | | | | | | | | | (605), (1368), (1526) gives: % 51.70/8.38 | | | | | | | | | | | | | | | | | | | | | (1545) ? [v0: $i] : (product(all_8_1, v0) = all_8_1 & % 51.70/8.38 | | | | | | | | | | | | | | | | | | | | | product(all_8_3, all_8_0) = v0 & $i(v0)) % 51.70/8.38 | | | | | | | | | | | | | | | | | | | | | % 51.70/8.38 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (1) with all_8_0, all_8_6, all_8_5, % 51.70/8.38 | | | | | | | | | | | | | | | | | | | | | all_8_1, all_8_0, simplifying with (21), (22), % 51.70/8.38 | | | | | | | | | | | | | | | | | | | | | (28), (605), (1526) gives: % 51.70/8.38 | | | | | | | | | | | | | | | | | | | | | (1546) ? [v0: $i] : (product(v0, all_8_0) = all_8_0 & % 51.70/8.38 | | | | | | | | | | | | | | | | | | | | | product(all_8_5, all_8_6) = v0 & $i(v0)) % 51.70/8.38 | | | | | | | | | | | | | | | | | | | | | % 51.70/8.38 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with all_8_0, all_8_3, all_8_6, % 51.70/8.38 | | | | | | | | | | | | | | | | | | | | | all_8_6, all_8_1, simplifying with (21), (23), % 51.70/8.38 | | | | | | | | | | | | | | | | | | | | | (605), (1370), (1526) gives: % 51.70/8.38 | | | | | | | | | | | | | | | | | | | | | (1547) ? [v0: $i] : (product(all_8_3, all_8_0) = v0 & % 51.70/8.38 | | | | | | | | | | | | | | | | | | | | | product(all_8_6, v0) = all_8_1 & $i(v0) & % 51.70/8.38 | | | | | | | | | | | | | | | | | | | | | $i(all_8_1)) % 51.70/8.38 | | | | | | | | | | | | | | | | | | | | | % 51.70/8.38 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with all_8_1, all_8_3, all_8_3, % 51.70/8.38 | | | | | | | | | | | | | | | | | | | | | all_8_3, all_8_0, simplifying with (23), (24), % 51.70/8.38 | | | | | | | | | | | | | | | | | | | | | (601), (1522) gives: % 51.70/8.38 | | | | | | | | | | | | | | | | | | | | | (1548) ? [v0: $i] : (product(all_8_3, v0) = all_8_0 & % 51.70/8.38 | | | | | | | | | | | | | | | | | | | | | product(all_8_3, all_8_1) = v0 & $i(v0) & % 51.70/8.38 | | | | | | | | | | | | | | | | | | | | | $i(all_8_0)) % 51.70/8.38 | | | | | | | | | | | | | | | | | | | | | % 51.70/8.38 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with all_8_5, all_8_3, all_8_3, % 51.70/8.38 | | | | | | | | | | | | | | | | | | | | | all_8_3, all_8_0, simplifying with (22), (23), % 51.70/8.38 | | | | | | | | | | | | | | | | | | | | | (158), (1522) gives: % 51.70/8.38 | | | | | | | | | | | | | | | | | | | | | (1549) ? [v0: $i] : (product(all_8_3, v0) = all_8_0 & % 51.70/8.38 | | | | | | | | | | | | | | | | | | | | | product(all_8_3, all_8_5) = v0 & $i(v0) & % 51.70/8.38 | | | | | | | | | | | | | | | | | | | | | $i(all_8_0)) % 51.70/8.38 | | | | | | | | | | | | | | | | | | | | | % 51.70/8.38 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_8_3, all_8_3, % 51.70/8.38 | | | | | | | | | | | | | | | | | | | | | simplifying with (23), (1522) gives: % 51.70/8.38 | | | | | | | | | | | | | | | | | | | | | (1550) ? [v0: $i] : ? [v1: any] : (l(all_8_3, all_8_3) % 51.70/8.38 | | | | | | | | | | | | | | | | | | | | | = v1 & product(all_8_3, all_8_3) = v0 & $i(v0) & % 51.70/8.38 | | | | | | | | | | | | | | | | | | | | | ( ~ (v0 = all_8_3) | v1 = 0)) % 51.70/8.38 | | | | | | | | | | | | | | | | | | | | | % 51.70/8.38 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (10) with all_8_3, all_8_3, % 51.70/8.38 | | | | | | | | | | | | | | | | | | | | | simplifying with (23), (1522) gives: % 51.70/8.38 | | | | | | | | | | | | | | | | | | | | | (1551) ? [v0: $i] : ? [v1: any] : (r(all_8_3, all_8_3) % 51.70/8.38 | | | | | | | | | | | | | | | | | | | | | = v1 & product(all_8_3, all_8_3) = v0 & $i(v0) & % 51.70/8.38 | | | | | | | | | | | | | | | | | | | | | ( ~ (v0 = all_8_3) | v1 = 0)) % 51.70/8.38 | | | | | | | | | | | | | | | | | | | | | % 51.70/8.38 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (13) with all_8_3, all_8_3, all_8_3, % 51.70/8.38 | | | | | | | | | | | | | | | | | | | | | simplifying with (23), (1522) gives: % 51.70/8.38 | | | | | | | | | | | | | | | | | | | | | (1552) ? [v0: any] : ? [v1: $i] : (r(all_8_3, all_8_3) % 51.70/8.38 | | | | | | | | | | | | | | | | | | | | | = v0 & product(all_8_3, all_8_3) = v1 & $i(v1) & % 51.70/8.38 | | | | | | | | | | | | | | | | | | | | | ( ~ (v0 = 0) | v1 = all_8_3)) % 51.70/8.38 | | | | | | | | | | | | | | | | | | | | | % 51.70/8.38 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (7) with all_8_3, all_8_3, all_8_3, % 51.70/8.38 | | | | | | | | | | | | | | | | | | | | | simplifying with (23), (1522) gives: % 51.70/8.38 | | | | | | | | | | | | | | | | | | | | | (1553) ? [v0: any] : ? [v1: $i] : (l(all_8_3, all_8_3) % 51.70/8.38 | | | | | | | | | | | | | | | | | | | | | = v0 & product(all_8_3, all_8_3) = v1 & $i(v1) & % 51.70/8.38 | | | | | | | | | | | | | | | | | | | | | ( ~ (v0 = 0) | v1 = all_8_3)) % 51.70/8.38 | | | | | | | | | | | | | | | | | | | | | % 51.70/8.38 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (1) with all_8_1, all_8_1, all_8_3, % 51.70/8.38 | | | | | | | | | | | | | | | | | | | | | all_8_1, all_8_0, simplifying with (23), (24), % 51.70/8.38 | | | | | | | | | | | | | | | | | | | | | (601), (1524) gives: % 51.70/8.38 | | | | | | | | | | | | | | | | | | | | | (1554) ? [v0: $i] : (product(v0, all_8_1) = all_8_0 & % 51.70/8.38 | | | | | | | | | | | | | | | | | | | | | product(all_8_3, all_8_1) = v0 & $i(v0) & % 51.70/8.38 | | | | | | | | | | | | | | | | | | | | | $i(all_8_0)) % 51.70/8.38 | | | | | | | | | | | | | | | | | | | | | % 51.70/8.38 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (1) with all_8_0, all_8_1, all_8_3, % 51.70/8.38 | | | | | | | | | | | | | | | | | | | | | all_8_1, all_8_0, simplifying with (23), (24), % 51.70/8.38 | | | | | | | | | | | | | | | | | | | | | (601), (605), (1525) gives: % 51.70/8.38 | | | | | | | | | | | | | | | | | | | | | (1555) ? [v0: $i] : (product(v0, all_8_0) = all_8_0 & % 51.70/8.38 | | | | | | | | | | | | | | | | | | | | | product(all_8_3, all_8_1) = v0 & $i(v0)) % 51.70/8.38 | | | | | | | | | | | | | | | | | | | | | % 51.70/8.38 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with all_8_5, all_8_6, all_8_0, % 51.70/8.38 | | | | | | | | | | | | | | | | | | | | | all_8_3, all_8_0, simplifying with (21), (22), % 51.70/8.38 | | | | | | | | | | | | | | | | | | | | | (158), (605), (1520) gives: % 51.70/8.39 | | | | | | | | | | | | | | | | | | | | | (1556) ? [v0: $i] : (product(all_8_0, v0) = all_8_0 & % 51.70/8.39 | | | | | | | | | | | | | | | | | | | | | product(all_8_6, all_8_5) = v0 & $i(v0)) % 51.70/8.39 | | | | | | | | | | | | | | | | | | | | | % 51.70/8.39 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (1) with all_8_6, all_8_0, all_8_3, % 51.70/8.39 | | | | | | | | | | | | | | | | | | | | | all_8_3, all_8_3, simplifying with (21), (23), % 51.70/8.39 | | | | | | | | | | | | | | | | | | | | | (605), (1520), (1522) gives: % 51.70/8.39 | | | | | | | | | | | | | | | | | | | | | (1557) ? [v0: $i] : (product(v0, all_8_6) = all_8_3 & % 51.70/8.39 | | | | | | | | | | | | | | | | | | | | | product(all_8_3, all_8_0) = v0 & $i(v0)) % 51.70/8.39 | | | | | | | | | | | | | | | | | | | | | % 51.70/8.39 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (12) with all_8_0, all_8_6, all_8_3, % 51.70/8.39 | | | | | | | | | | | | | | | | | | | | | simplifying with (21), (605), (1520) gives: % 51.70/8.39 | | | | | | | | | | | | | | | | | | | | | (1558) ? [v0: any] : ? [v1: $i] : (r(all_8_0, all_8_6) % 51.70/8.39 | | | | | | | | | | | | | | | | | | | | | = v0 & product(all_8_6, all_8_0) = v1 & $i(v1) & % 51.70/8.39 | | | | | | | | | | | | | | | | | | | | | ( ~ (v0 = 0) | (v1 = all_8_0 & all_8_3 = % 51.70/8.39 | | | | | | | | | | | | | | | | | | | | | all_8_6))) % 51.70/8.39 | | | | | | | | | | | | | | | | | | | | | % 51.70/8.39 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with all_8_1, all_8_3, all_8_0, % 51.70/8.39 | | | | | | | | | | | | | | | | | | | | | all_8_3, all_8_0, simplifying with (23), (24), % 51.70/8.39 | | | | | | | | | | | | | | | | | | | | | (601), (605), (1521) gives: % 51.70/8.39 | | | | | | | | | | | | | | | | | | | | | (1559) ? [v0: $i] : (product(all_8_0, v0) = all_8_0 & % 51.70/8.39 | | | | | | | | | | | | | | | | | | | | | product(all_8_3, all_8_1) = v0 & $i(v0)) % 51.70/8.39 | | | | | | | | | | | | | | | | | | | | | % 51.70/8.39 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (1) with all_8_3, all_8_0, all_8_3, % 51.70/8.39 | | | | | | | | | | | | | | | | | | | | | all_8_3, all_8_3, simplifying with (23), (605), % 51.70/8.39 | | | | | | | | | | | | | | | | | | | | | (1521), (1522) gives: % 51.70/8.39 | | | | | | | | | | | | | | | | | | | | | (1560) ? [v0: $i] : (product(v0, all_8_3) = all_8_3 & % 51.70/8.39 | | | | | | | | | | | | | | | | | | | | | product(all_8_3, all_8_0) = v0 & $i(v0)) % 51.70/8.39 | | | | | | | | | | | | | | | | | | | | | % 51.70/8.39 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (10) with all_8_3, all_8_0, % 51.70/8.39 | | | | | | | | | | | | | | | | | | | | | simplifying with (23), (605), (1521) gives: % 51.70/8.39 | | | | | | | | | | | | | | | | | | | | | (1561) ? [v0: $i] : ? [v1: any] : (r(all_8_3, all_8_0) % 51.70/8.39 | | | | | | | | | | | | | | | | | | | | | = v1 & product(all_8_3, all_8_0) = v0 & $i(v0) & % 51.70/8.39 | | | | | | | | | | | | | | | | | | | | | ( ~ (v0 = all_8_0) | v1 = 0)) % 51.70/8.39 | | | | | | | | | | | | | | | | | | | | | % 51.70/8.39 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (9) with all_8_0, all_8_3, % 51.70/8.39 | | | | | | | | | | | | | | | | | | | | | simplifying with (23), (605), (1521) gives: % 51.70/8.39 | | | | | | | | | | | | | | | | | | | | | (1562) ? [v0: $i] : ? [v1: any] : (r(all_8_0, all_8_3) % 51.70/8.39 | | | | | | | | | | | | | | | | | | | | | = v1 & product(all_8_3, all_8_0) = v0 & $i(v0) & % 51.70/8.39 | | | | | | | | | | | | | | | | | | | | | ( ~ (v0 = all_8_0) | v1 = 0)) % 51.70/8.39 | | | | | | | | | | | | | | | | | | | | | % 51.70/8.39 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (13) with all_8_3, all_8_0, all_8_3, % 51.70/8.39 | | | | | | | | | | | | | | | | | | | | | simplifying with (23), (605), (1521) gives: % 51.70/8.39 | | | | | | | | | | | | | | | | | | | | | (1563) ? [v0: any] : ? [v1: $i] : (r(all_8_3, all_8_0) % 51.70/8.39 | | | | | | | | | | | | | | | | | | | | | = v0 & product(all_8_3, all_8_0) = v1 & $i(v1) & % 51.70/8.39 | | | | | | | | | | | | | | | | | | | | | ( ~ (v0 = 0) | v1 = all_8_0)) % 51.70/8.39 | | | | | | | | | | | | | | | | | | | | | % 51.70/8.39 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (7) with all_8_3, all_8_0, all_8_3, % 51.70/8.39 | | | | | | | | | | | | | | | | | | | | | simplifying with (23), (605), (1521) gives: % 51.70/8.39 | | | | | | | | | | | | | | | | | | | | | (1564) ? [v0: any] : ? [v1: $i] : (l(all_8_3, all_8_0) % 51.70/8.39 | | | | | | | | | | | | | | | | | | | | | = v0 & product(all_8_3, all_8_0) = v1 & $i(v1) & % 51.70/8.39 | | | | | | | | | | | | | | | | | | | | | ( ~ (v0 = 0) | (v1 = all_8_3 & all_8_0 = % 51.70/8.39 | | | | | | | | | | | | | | | | | | | | | all_8_3))) % 51.70/8.39 | | | | | | | | | | | | | | | | | | | | | % 51.70/8.39 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (12) with all_8_0, all_8_3, all_8_3, % 51.70/8.39 | | | | | | | | | | | | | | | | | | | | | simplifying with (23), (605), (1521) gives: % 51.70/8.39 | | | | | | | | | | | | | | | | | | | | | (1565) ? [v0: any] : ? [v1: $i] : (r(all_8_0, all_8_3) % 51.70/8.39 | | | | | | | | | | | | | | | | | | | | | = v0 & product(all_8_3, all_8_0) = v1 & $i(v1) & % 51.70/8.39 | | | | | | | | | | | | | | | | | | | | | ( ~ (v0 = 0) | v1 = all_8_0)) % 51.70/8.39 | | | | | | | | | | | | | | | | | | | | | % 51.70/8.39 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (6) with all_8_0, all_8_3, all_8_3, % 51.70/8.39 | | | | | | | | | | | | | | | | | | | | | simplifying with (23), (605), (1521) gives: % 51.70/8.39 | | | | | | | | | | | | | | | | | | | | | (1566) ? [v0: any] : ? [v1: $i] : (l(all_8_0, all_8_3) % 51.70/8.39 | | | | | | | | | | | | | | | | | | | | | = v0 & product(all_8_3, all_8_0) = v1 & $i(v1) & % 51.70/8.39 | | | | | | | | | | | | | | | | | | | | | ( ~ (v0 = 0) | (v1 = all_8_3 & all_8_0 = % 51.70/8.39 | | | | | | | | | | | | | | | | | | | | | all_8_3))) % 51.70/8.39 | | | | | | | | | | | | | | | | | | | | | % 51.70/8.39 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (5) with all_380_0, all_8_5, % 51.70/8.39 | | | | | | | | | | | | | | | | | | | | | simplifying with (22), (1426), (1427) gives: % 51.70/8.39 | | | | | | | | | | | | | | | | | | | | | (1567) product(all_380_0, all_8_5) = all_380_0 & % 51.70/8.39 | | | | | | | | | | | | | | | | | | | | | product(all_8_5, all_380_0) = all_8_5 % 51.70/8.39 | | | | | | | | | | | | | | | | | | | | | % 51.70/8.39 | | | | | | | | | | | | | | | | | | | | | ALPHA: (1567) implies: % 51.70/8.39 | | | | | | | | | | | | | | | | | | | | | (1568) product(all_8_5, all_380_0) = all_8_5 % 51.70/8.39 | | | | | | | | | | | | | | | | | | | | | (1569) product(all_380_0, all_8_5) = all_380_0 % 51.70/8.39 | | | | | | | | | | | | | | | | | | | | | % 51.70/8.39 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (11) with all_8_6, all_380_0, % 51.70/8.39 | | | | | | | | | | | | | | | | | | | | | simplifying with (21), (1426), (1428) gives: % 51.70/8.39 | | | | | | | | | | | | | | | | | | | | | (1570) product(all_380_0, all_8_6) = all_8_6 & % 51.70/8.39 | | | | | | | | | | | | | | | | | | | | | product(all_8_6, all_380_0) = all_380_0 % 51.70/8.39 | | | | | | | | | | | | | | | | | | | | | % 51.70/8.39 | | | | | | | | | | | | | | | | | | | | | ALPHA: (1570) implies: % 51.70/8.39 | | | | | | | | | | | | | | | | | | | | | (1571) product(all_8_6, all_380_0) = all_380_0 % 51.70/8.39 | | | | | | | | | | | | | | | | | | | | | (1572) product(all_380_0, all_8_6) = all_8_6 % 51.70/8.39 | | | | | | | | | | | | | | | | | | | | | % 51.70/8.39 | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (1560) with fresh symbol all_524_0 % 51.70/8.39 | | | | | | | | | | | | | | | | | | | | | gives: % 51.70/8.39 | | | | | | | | | | | | | | | | | | | | | (1573) product(all_524_0, all_8_3) = all_8_3 & % 51.70/8.39 | | | | | | | | | | | | | | | | | | | | | product(all_8_3, all_8_0) = all_524_0 & % 51.70/8.39 | | | | | | | | | | | | | | | | | | | | | $i(all_524_0) % 51.70/8.39 | | | | | | | | | | | | | | | | | | | | | % 51.70/8.39 | | | | | | | | | | | | | | | | | | | | | ALPHA: (1573) implies: % 51.70/8.39 | | | | | | | | | | | | | | | | | | | | | (1574) product(all_8_3, all_8_0) = all_524_0 % 51.70/8.39 | | | | | | | | | | | | | | | | | | | | | % 51.70/8.39 | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (1557) with fresh symbol all_526_0 % 51.70/8.39 | | | | | | | | | | | | | | | | | | | | | gives: % 51.70/8.39 | | | | | | | | | | | | | | | | | | | | | (1575) product(all_526_0, all_8_6) = all_8_3 & % 51.70/8.39 | | | | | | | | | | | | | | | | | | | | | product(all_8_3, all_8_0) = all_526_0 & % 51.70/8.39 | | | | | | | | | | | | | | | | | | | | | $i(all_526_0) % 51.70/8.39 | | | | | | | | | | | | | | | | | | | | | % 51.70/8.39 | | | | | | | | | | | | | | | | | | | | | ALPHA: (1575) implies: % 51.70/8.39 | | | | | | | | | | | | | | | | | | | | | (1576) product(all_8_3, all_8_0) = all_526_0 % 51.70/8.39 | | | | | | | | | | | | | | | | | | | | | % 51.70/8.39 | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (1546) with fresh symbol all_534_0 % 51.70/8.39 | | | | | | | | | | | | | | | | | | | | | gives: % 51.70/8.39 | | | | | | | | | | | | | | | | | | | | | (1577) product(all_534_0, all_8_0) = all_8_0 & % 51.70/8.39 | | | | | | | | | | | | | | | | | | | | | product(all_8_5, all_8_6) = all_534_0 & % 51.70/8.39 | | | | | | | | | | | | | | | | | | | | | $i(all_534_0) % 51.70/8.39 | | | | | | | | | | | | | | | | | | | | | % 51.70/8.39 | | | | | | | | | | | | | | | | | | | | | ALPHA: (1577) implies: % 51.70/8.39 | | | | | | | | | | | | | | | | | | | | | (1578) product(all_8_5, all_8_6) = all_534_0 % 51.70/8.39 | | | | | | | | | | | | | | | | | | | | | % 51.70/8.39 | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (1555) with fresh symbol all_538_0 % 51.70/8.39 | | | | | | | | | | | | | | | | | | | | | gives: % 51.70/8.39 | | | | | | | | | | | | | | | | | | | | | (1579) product(all_538_0, all_8_0) = all_8_0 & % 51.70/8.39 | | | | | | | | | | | | | | | | | | | | | product(all_8_3, all_8_1) = all_538_0 & % 51.70/8.39 | | | | | | | | | | | | | | | | | | | | | $i(all_538_0) % 51.70/8.39 | | | | | | | | | | | | | | | | | | | | | % 51.70/8.39 | | | | | | | | | | | | | | | | | | | | | ALPHA: (1579) implies: % 51.70/8.39 | | | | | | | | | | | | | | | | | | | | | (1580) product(all_8_3, all_8_1) = all_538_0 % 51.70/8.39 | | | | | | | | | | | | | | | | | | | | | % 51.70/8.39 | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (1559) with fresh symbol all_544_0 % 51.70/8.39 | | | | | | | | | | | | | | | | | | | | | gives: % 51.70/8.39 | | | | | | | | | | | | | | | | | | | | | (1581) product(all_8_0, all_544_0) = all_8_0 & % 51.70/8.39 | | | | | | | | | | | | | | | | | | | | | product(all_8_3, all_8_1) = all_544_0 & % 51.70/8.39 | | | | | | | | | | | | | | | | | | | | | $i(all_544_0) % 51.70/8.39 | | | | | | | | | | | | | | | | | | | | | % 51.70/8.39 | | | | | | | | | | | | | | | | | | | | | ALPHA: (1581) implies: % 51.70/8.39 | | | | | | | | | | | | | | | | | | | | | (1582) product(all_8_3, all_8_1) = all_544_0 % 51.70/8.39 | | | | | | | | | | | | | | | | | | | | | % 51.70/8.39 | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (1545) with fresh symbol all_548_0 % 51.70/8.39 | | | | | | | | | | | | | | | | | | | | | gives: % 51.70/8.39 | | | | | | | | | | | | | | | | | | | | | (1583) product(all_8_1, all_548_0) = all_8_1 & % 51.70/8.39 | | | | | | | | | | | | | | | | | | | | | product(all_8_3, all_8_0) = all_548_0 & % 51.70/8.39 | | | | | | | | | | | | | | | | | | | | | $i(all_548_0) % 51.70/8.39 | | | | | | | | | | | | | | | | | | | | | % 51.70/8.39 | | | | | | | | | | | | | | | | | | | | | ALPHA: (1583) implies: % 51.70/8.39 | | | | | | | | | | | | | | | | | | | | | (1584) product(all_8_3, all_8_0) = all_548_0 % 51.70/8.39 | | | | | | | | | | | | | | | | | | | | | % 51.70/8.39 | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (1556) with fresh symbol all_550_0 % 51.70/8.39 | | | | | | | | | | | | | | | | | | | | | gives: % 51.70/8.39 | | | | | | | | | | | | | | | | | | | | | (1585) product(all_8_0, all_550_0) = all_8_0 & % 51.70/8.39 | | | | | | | | | | | | | | | | | | | | | product(all_8_6, all_8_5) = all_550_0 & % 51.70/8.39 | | | | | | | | | | | | | | | | | | | | | $i(all_550_0) % 51.70/8.39 | | | | | | | | | | | | | | | | | | | | | % 51.70/8.39 | | | | | | | | | | | | | | | | | | | | | ALPHA: (1585) implies: % 51.70/8.39 | | | | | | | | | | | | | | | | | | | | | (1586) $i(all_550_0) % 51.70/8.39 | | | | | | | | | | | | | | | | | | | | | (1587) product(all_8_6, all_8_5) = all_550_0 % 51.70/8.39 | | | | | | | | | | | | | | | | | | | | | % 51.70/8.39 | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (1554) with fresh symbol all_560_0 % 51.70/8.39 | | | | | | | | | | | | | | | | | | | | | gives: % 51.70/8.39 | | | | | | | | | | | | | | | | | | | | | (1588) product(all_560_0, all_8_1) = all_8_0 & % 51.70/8.39 | | | | | | | | | | | | | | | | | | | | | product(all_8_3, all_8_1) = all_560_0 & % 51.70/8.39 | | | | | | | | | | | | | | | | | | | | | $i(all_560_0) & $i(all_8_0) % 51.70/8.39 | | | | | | | | | | | | | | | | | | | | | % 51.70/8.39 | | | | | | | | | | | | | | | | | | | | | ALPHA: (1588) implies: % 51.70/8.39 | | | | | | | | | | | | | | | | | | | | | (1589) product(all_8_3, all_8_1) = all_560_0 % 51.70/8.39 | | | | | | | | | | | | | | | | | | | | | % 51.70/8.39 | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (1549) with fresh symbol all_564_0 % 51.70/8.39 | | | | | | | | | | | | | | | | | | | | | gives: % 51.70/8.39 | | | | | | | | | | | | | | | | | | | | | (1590) product(all_8_3, all_564_0) = all_8_0 & % 51.70/8.39 | | | | | | | | | | | | | | | | | | | | | product(all_8_3, all_8_5) = all_564_0 & % 51.70/8.39 | | | | | | | | | | | | | | | | | | | | | $i(all_564_0) & $i(all_8_0) % 51.70/8.39 | | | | | | | | | | | | | | | | | | | | | % 51.70/8.39 | | | | | | | | | | | | | | | | | | | | | ALPHA: (1590) implies: % 51.70/8.39 | | | | | | | | | | | | | | | | | | | | | (1591) product(all_8_3, all_8_5) = all_564_0 % 51.70/8.39 | | | | | | | | | | | | | | | | | | | | | (1592) product(all_8_3, all_564_0) = all_8_0 % 51.70/8.39 | | | | | | | | | | | | | | | | | | | | | % 51.70/8.39 | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (1548) with fresh symbol all_566_0 % 51.70/8.39 | | | | | | | | | | | | | | | | | | | | | gives: % 51.70/8.39 | | | | | | | | | | | | | | | | | | | | | (1593) product(all_8_3, all_566_0) = all_8_0 & % 51.70/8.39 | | | | | | | | | | | | | | | | | | | | | product(all_8_3, all_8_1) = all_566_0 & % 51.70/8.39 | | | | | | | | | | | | | | | | | | | | | $i(all_566_0) & $i(all_8_0) % 51.70/8.39 | | | | | | | | | | | | | | | | | | | | | % 51.70/8.39 | | | | | | | | | | | | | | | | | | | | | ALPHA: (1593) implies: % 51.70/8.39 | | | | | | | | | | | | | | | | | | | | | (1594) product(all_8_3, all_8_1) = all_566_0 % 51.70/8.39 | | | | | | | | | | | | | | | | | | | | | % 51.70/8.39 | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (1547) with fresh symbol all_570_0 % 51.70/8.39 | | | | | | | | | | | | | | | | | | | | | gives: % 51.70/8.39 | | | | | | | | | | | | | | | | | | | | | (1595) product(all_8_3, all_8_0) = all_570_0 & % 51.70/8.39 | | | | | | | | | | | | | | | | | | | | | product(all_8_6, all_570_0) = all_8_1 & % 51.70/8.39 | | | | | | | | | | | | | | | | | | | | | $i(all_570_0) & $i(all_8_1) % 51.70/8.39 | | | | | | | | | | | | | | | | | | | | | % 51.70/8.39 | | | | | | | | | | | | | | | | | | | | | ALPHA: (1595) implies: % 51.70/8.39 | | | | | | | | | | | | | | | | | | | | | (1596) product(all_8_3, all_8_0) = all_570_0 % 51.70/8.39 | | | | | | | | | | | | | | | | | | | | | % 51.70/8.39 | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (1551) with fresh symbols all_582_0, % 51.70/8.39 | | | | | | | | | | | | | | | | | | | | | all_582_1 gives: % 51.70/8.39 | | | | | | | | | | | | | | | | | | | | | (1597) r(all_8_3, all_8_3) = all_582_0 & product(all_8_3, % 51.70/8.39 | | | | | | | | | | | | | | | | | | | | | all_8_3) = all_582_1 & $i(all_582_1) & ( ~ % 51.70/8.39 | | | | | | | | | | | | | | | | | | | | | (all_582_1 = all_8_3) | all_582_0 = 0) % 51.70/8.39 | | | | | | | | | | | | | | | | | | | | | % 51.70/8.39 | | | | | | | | | | | | | | | | | | | | | ALPHA: (1597) implies: % 51.70/8.39 | | | | | | | | | | | | | | | | | | | | | (1598) product(all_8_3, all_8_3) = all_582_1 % 51.70/8.39 | | | | | | | | | | | | | | | | | | | | | % 51.70/8.39 | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (1550) with fresh symbols all_584_0, % 51.70/8.39 | | | | | | | | | | | | | | | | | | | | | all_584_1 gives: % 51.70/8.39 | | | | | | | | | | | | | | | | | | | | | (1599) l(all_8_3, all_8_3) = all_584_0 & product(all_8_3, % 51.70/8.39 | | | | | | | | | | | | | | | | | | | | | all_8_3) = all_584_1 & $i(all_584_1) & ( ~ % 51.70/8.39 | | | | | | | | | | | | | | | | | | | | | (all_584_1 = all_8_3) | all_584_0 = 0) % 51.70/8.39 | | | | | | | | | | | | | | | | | | | | | % 51.70/8.39 | | | | | | | | | | | | | | | | | | | | | ALPHA: (1599) implies: % 51.70/8.39 | | | | | | | | | | | | | | | | | | | | | (1600) product(all_8_3, all_8_3) = all_584_1 % 51.70/8.39 | | | | | | | | | | | | | | | | | | | | | (1601) ~ (all_584_1 = all_8_3) | all_584_0 = 0 % 51.70/8.39 | | | | | | | | | | | | | | | | | | | | | % 51.70/8.39 | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (1562) with fresh symbols all_586_0, % 51.70/8.39 | | | | | | | | | | | | | | | | | | | | | all_586_1 gives: % 51.70/8.39 | | | | | | | | | | | | | | | | | | | | | (1602) r(all_8_0, all_8_3) = all_586_0 & product(all_8_3, % 51.70/8.39 | | | | | | | | | | | | | | | | | | | | | all_8_0) = all_586_1 & $i(all_586_1) & ( ~ % 51.70/8.39 | | | | | | | | | | | | | | | | | | | | | (all_586_1 = all_8_0) | all_586_0 = 0) % 51.70/8.39 | | | | | | | | | | | | | | | | | | | | | % 51.70/8.39 | | | | | | | | | | | | | | | | | | | | | ALPHA: (1602) implies: % 51.70/8.39 | | | | | | | | | | | | | | | | | | | | | (1603) product(all_8_3, all_8_0) = all_586_1 % 51.70/8.39 | | | | | | | | | | | | | | | | | | | | | % 51.70/8.39 | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (1561) with fresh symbols all_592_0, % 51.70/8.39 | | | | | | | | | | | | | | | | | | | | | all_592_1 gives: % 51.70/8.39 | | | | | | | | | | | | | | | | | | | | | (1604) r(all_8_3, all_8_0) = all_592_0 & product(all_8_3, % 51.70/8.39 | | | | | | | | | | | | | | | | | | | | | all_8_0) = all_592_1 & $i(all_592_1) & ( ~ % 51.70/8.39 | | | | | | | | | | | | | | | | | | | | | (all_592_1 = all_8_0) | all_592_0 = 0) % 51.70/8.39 | | | | | | | | | | | | | | | | | | | | | % 51.70/8.39 | | | | | | | | | | | | | | | | | | | | | ALPHA: (1604) implies: % 51.70/8.39 | | | | | | | | | | | | | | | | | | | | | (1605) product(all_8_3, all_8_0) = all_592_1 % 51.70/8.39 | | | | | | | | | | | | | | | | | | | | | (1606) ~ (all_592_1 = all_8_0) | all_592_0 = 0 % 51.70/8.39 | | | | | | | | | | | | | | | | | | | | | % 51.70/8.39 | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (1553) with fresh symbols all_594_0, % 51.70/8.39 | | | | | | | | | | | | | | | | | | | | | all_594_1 gives: % 51.70/8.39 | | | | | | | | | | | | | | | | | | | | | (1607) l(all_8_3, all_8_3) = all_594_1 & product(all_8_3, % 51.70/8.39 | | | | | | | | | | | | | | | | | | | | | all_8_3) = all_594_0 & $i(all_594_0) & ( ~ % 51.70/8.39 | | | | | | | | | | | | | | | | | | | | | (all_594_1 = 0) | all_594_0 = all_8_3) % 51.70/8.39 | | | | | | | | | | | | | | | | | | | | | % 51.70/8.39 | | | | | | | | | | | | | | | | | | | | | ALPHA: (1607) implies: % 51.70/8.39 | | | | | | | | | | | | | | | | | | | | | (1608) product(all_8_3, all_8_3) = all_594_0 % 51.70/8.39 | | | | | | | | | | | | | | | | | | | | | % 51.70/8.39 | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (1565) with fresh symbols all_598_0, % 51.70/8.39 | | | | | | | | | | | | | | | | | | | | | all_598_1 gives: % 51.70/8.40 | | | | | | | | | | | | | | | | | | | | | (1609) r(all_8_0, all_8_3) = all_598_1 & product(all_8_3, % 51.70/8.40 | | | | | | | | | | | | | | | | | | | | | all_8_0) = all_598_0 & $i(all_598_0) & ( ~ % 51.70/8.40 | | | | | | | | | | | | | | | | | | | | | (all_598_1 = 0) | all_598_0 = all_8_0) % 51.70/8.40 | | | | | | | | | | | | | | | | | | | | | % 51.70/8.40 | | | | | | | | | | | | | | | | | | | | | ALPHA: (1609) implies: % 51.70/8.40 | | | | | | | | | | | | | | | | | | | | | (1610) product(all_8_3, all_8_0) = all_598_0 % 51.70/8.40 | | | | | | | | | | | | | | | | | | | | | % 51.70/8.40 | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (1552) with fresh symbols all_600_0, % 51.70/8.40 | | | | | | | | | | | | | | | | | | | | | all_600_1 gives: % 51.70/8.40 | | | | | | | | | | | | | | | | | | | | | (1611) r(all_8_3, all_8_3) = all_600_1 & product(all_8_3, % 51.70/8.40 | | | | | | | | | | | | | | | | | | | | | all_8_3) = all_600_0 & $i(all_600_0) & ( ~ % 51.70/8.40 | | | | | | | | | | | | | | | | | | | | | (all_600_1 = 0) | all_600_0 = all_8_3) % 51.70/8.40 | | | | | | | | | | | | | | | | | | | | | % 51.70/8.40 | | | | | | | | | | | | | | | | | | | | | ALPHA: (1611) implies: % 51.70/8.40 | | | | | | | | | | | | | | | | | | | | | (1612) product(all_8_3, all_8_3) = all_600_0 % 51.70/8.40 | | | | | | | | | | | | | | | | | | | | | % 51.70/8.40 | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (1563) with fresh symbols all_602_0, % 51.70/8.40 | | | | | | | | | | | | | | | | | | | | | all_602_1 gives: % 51.70/8.40 | | | | | | | | | | | | | | | | | | | | | (1613) r(all_8_3, all_8_0) = all_602_1 & product(all_8_3, % 51.70/8.40 | | | | | | | | | | | | | | | | | | | | | all_8_0) = all_602_0 & $i(all_602_0) & ( ~ % 51.70/8.40 | | | | | | | | | | | | | | | | | | | | | (all_602_1 = 0) | all_602_0 = all_8_0) % 51.70/8.40 | | | | | | | | | | | | | | | | | | | | | % 51.70/8.40 | | | | | | | | | | | | | | | | | | | | | ALPHA: (1613) implies: % 51.70/8.40 | | | | | | | | | | | | | | | | | | | | | (1614) product(all_8_3, all_8_0) = all_602_0 % 51.70/8.40 | | | | | | | | | | | | | | | | | | | | | % 51.70/8.40 | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (1558) with fresh symbols all_612_0, % 51.70/8.40 | | | | | | | | | | | | | | | | | | | | | all_612_1 gives: % 51.70/8.40 | | | | | | | | | | | | | | | | | | | | | (1615) r(all_8_0, all_8_6) = all_612_1 & product(all_8_6, % 51.70/8.40 | | | | | | | | | | | | | | | | | | | | | all_8_0) = all_612_0 & $i(all_612_0) & ( ~ % 51.70/8.40 | | | | | | | | | | | | | | | | | | | | | (all_612_1 = 0) | (all_612_0 = all_8_0 & all_8_3 % 51.70/8.40 | | | | | | | | | | | | | | | | | | | | | = all_8_6)) % 51.70/8.40 | | | | | | | | | | | | | | | | | | | | | % 51.70/8.40 | | | | | | | | | | | | | | | | | | | | | ALPHA: (1615) implies: % 51.70/8.40 | | | | | | | | | | | | | | | | | | | | | (1616) ~ (all_612_1 = 0) | (all_612_0 = all_8_0 & % 51.70/8.40 | | | | | | | | | | | | | | | | | | | | | all_8_3 = all_8_6) % 51.70/8.40 | | | | | | | | | | | | | | | | | | | | | % 51.70/8.40 | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (1566) with fresh symbols all_616_0, % 51.70/8.40 | | | | | | | | | | | | | | | | | | | | | all_616_1 gives: % 51.70/8.40 | | | | | | | | | | | | | | | | | | | | | (1617) l(all_8_0, all_8_3) = all_616_1 & product(all_8_3, % 51.70/8.40 | | | | | | | | | | | | | | | | | | | | | all_8_0) = all_616_0 & $i(all_616_0) & ( ~ % 51.70/8.40 | | | | | | | | | | | | | | | | | | | | | (all_616_1 = 0) | (all_616_0 = all_8_3 & all_8_0 % 51.70/8.40 | | | | | | | | | | | | | | | | | | | | | = all_8_3)) % 51.70/8.40 | | | | | | | | | | | | | | | | | | | | | % 51.70/8.40 | | | | | | | | | | | | | | | | | | | | | ALPHA: (1617) implies: % 51.70/8.40 | | | | | | | | | | | | | | | | | | | | | (1618) product(all_8_3, all_8_0) = all_616_0 % 51.70/8.40 | | | | | | | | | | | | | | | | | | | | | % 51.70/8.40 | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (1564) with fresh symbols all_618_0, % 51.70/8.40 | | | | | | | | | | | | | | | | | | | | | all_618_1 gives: % 51.70/8.40 | | | | | | | | | | | | | | | | | | | | | (1619) l(all_8_3, all_8_0) = all_618_1 & product(all_8_3, % 51.70/8.40 | | | | | | | | | | | | | | | | | | | | | all_8_0) = all_618_0 & $i(all_618_0) & ( ~ % 51.70/8.40 | | | | | | | | | | | | | | | | | | | | | (all_618_1 = 0) | (all_618_0 = all_8_3 & all_8_0 % 51.70/8.40 | | | | | | | | | | | | | | | | | | | | | = all_8_3)) % 51.70/8.40 | | | | | | | | | | | | | | | | | | | | | % 51.70/8.40 | | | | | | | | | | | | | | | | | | | | | ALPHA: (1619) implies: % 51.70/8.40 | | | | | | | | | | | | | | | | | | | | | (1620) product(all_8_3, all_8_0) = all_618_0 % 51.70/8.40 | | | | | | | | | | | | | | | | | | | | | % 51.70/8.40 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1616) gives: % 51.70/8.40 | | | | | | | | | | | | | | | | | | | | | % 51.70/8.40 | | | | | | | | | | | | | | | | | | | | | Case 1: % 51.70/8.40 | | | | | | | | | | | | | | | | | | | | | | % 51.70/8.40 | | | | | | | | | | | | | | | | | | | | | | % 51.70/8.40 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (17) with all_8_1, all_550_0, % 51.70/8.40 | | | | | | | | | | | | | | | | | | | | | | all_8_5, all_8_6, simplifying with (25), (1587) % 51.70/8.40 | | | | | | | | | | | | | | | | | | | | | | gives: % 51.70/8.40 | | | | | | | | | | | | | | | | | | | | | | (1621) all_550_0 = all_8_1 % 51.70/8.40 | | | | | | | | | | | | | | | | | | | | | | % 51.70/8.40 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (17) with all_8_3, all_534_0, % 51.70/8.40 | | | | | | | | | | | | | | | | | | | | | | all_8_6, all_8_5, simplifying with (27), (1578) % 51.70/8.40 | | | | | | | | | | | | | | | | | | | | | | gives: % 51.70/8.40 | | | | | | | | | | | | | | | | | | | | | | (1622) all_534_0 = all_8_3 % 51.70/8.40 | | | | | | | | | | | | | | | | | | | | | | % 51.70/8.40 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (17) with all_8_0, all_564_0, % 51.70/8.40 | | | | | | | | | | | | | | | | | | | | | | all_8_5, all_8_3, simplifying with (158), (1591) % 51.70/8.40 | | | | | | | | | | | | | | | | | | | | | | gives: % 51.70/8.40 | | | | | | | | | | | | | | | | | | | | | | (1623) all_564_0 = all_8_0 % 51.70/8.40 | | | | | | | | | | | | | | | | | | | | | | % 51.70/8.40 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (17) with all_8_3, all_584_1, % 51.70/8.40 | | | | | | | | | | | | | | | | | | | | | | all_8_3, all_8_3, simplifying with (1522), (1600) % 51.70/8.40 | | | | | | | | | | | | | | | | | | | | | | gives: % 51.70/8.40 | | | | | | | | | | | | | | | | | | | | | | (1624) all_584_1 = all_8_3 % 51.70/8.40 | | | | | | | | | | | | | | | | | | | | | | % 51.70/8.40 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (17) with all_584_1, all_594_0, % 51.70/8.40 | | | | | | | | | | | | | | | | | | | | | | all_8_3, all_8_3, simplifying with (1600), (1608) % 51.70/8.40 | | | | | | | | | | | | | | | | | | | | | | gives: % 51.70/8.40 | | | | | | | | | | | | | | | | | | | | | | (1625) all_594_0 = all_584_1 % 51.70/8.40 | | | | | | | | | | | | | | | | | | | | | | % 51.70/8.40 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (17) with all_594_0, all_600_0, % 51.70/8.40 | | | | | | | | | | | | | | | | | | | | | | all_8_3, all_8_3, simplifying with (1608), (1612) % 51.70/8.40 | | | | | | | | | | | | | | | | | | | | | | gives: % 51.70/8.40 | | | | | | | | | | | | | | | | | | | | | | (1626) all_600_0 = all_594_0 % 51.70/8.40 | | | | | | | | | | | | | | | | | | | | | | % 51.70/8.40 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (17) with all_582_1, all_600_0, % 51.70/8.40 | | | | | | | | | | | | | | | | | | | | | | all_8_3, all_8_3, simplifying with (1598), (1612) % 51.70/8.40 | | | | | | | | | | | | | | | | | | | | | | gives: % 51.70/8.40 | | | | | | | | | | | | | | | | | | | | | | (1627) all_600_0 = all_582_1 % 51.70/8.40 | | | | | | | | | | | | | | | | | | | | | | % 51.70/8.40 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (17) with all_544_0, all_560_0, % 51.70/8.40 | | | | | | | | | | | | | | | | | | | | | | all_8_1, all_8_3, simplifying with (1582), (1589) % 51.70/8.40 | | | | | | | | | | | | | | | | | | | | | | gives: % 51.70/8.40 | | | | | | | | | | | | | | | | | | | | | | (1628) all_560_0 = all_544_0 % 51.70/8.40 | | | | | | | | | | | | | | | | | | | | | | % 51.70/8.40 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (17) with all_538_0, all_560_0, % 51.70/8.40 | | | | | | | | | | | | | | | | | | | | | | all_8_1, all_8_3, simplifying with (1580), (1589) % 51.70/8.40 | | | | | | | | | | | | | | | | | | | | | | gives: % 51.70/8.40 | | | | | | | | | | | | | | | | | | | | | | (1629) all_560_0 = all_538_0 % 51.70/8.40 | | | | | | | | | | | | | | | | | | | | | | % 51.70/8.40 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (17) with all_8_0, all_566_0, % 51.70/8.40 | | | | | | | | | | | | | | | | | | | | | | all_8_1, all_8_3, simplifying with (601), (1594) % 51.70/8.40 | | | | | | | | | | | | | | | | | | | | | | gives: % 51.70/8.40 | | | | | | | | | | | | | | | | | | | | | | (1630) all_566_0 = all_8_0 % 51.70/8.40 | | | | | | | | | | | | | | | | | | | | | | % 51.70/8.40 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (17) with all_544_0, all_566_0, % 51.70/8.40 | | | | | | | | | | | | | | | | | | | | | | all_8_1, all_8_3, simplifying with (1582), (1594) % 51.70/8.40 | | | | | | | | | | | | | | | | | | | | | | gives: % 51.70/8.40 | | | | | | | | | | | | | | | | | | | | | | (1631) all_566_0 = all_544_0 % 51.70/8.40 | | | | | | | | | | | | | | | | | | | | | | % 51.70/8.40 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (17) with all_592_1, all_598_0, % 51.70/8.40 | | | | | | | | | | | | | | | | | | | | | | all_8_0, all_8_3, simplifying with (1605), (1610) % 51.70/8.40 | | | | | | | | | | | | | | | | | | | | | | gives: % 51.70/8.40 | | | | | | | | | | | | | | | | | | | | | | (1632) all_598_0 = all_592_1 % 51.70/8.40 | | | | | | | | | | | | | | | | | | | | | | % 51.70/8.40 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (17) with all_586_1, all_598_0, % 51.70/8.40 | | | | | | | | | | | | | | | | | | | | | | all_8_0, all_8_3, simplifying with (1603), (1610) % 51.70/8.40 | | | | | | | | | | | | | | | | | | | | | | gives: % 51.70/8.40 | | | | | | | | | | | | | | | | | | | | | | (1633) all_598_0 = all_586_1 % 51.70/8.40 | | | | | | | | | | | | | | | | | | | | | | % 51.70/8.40 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (17) with all_570_0, all_598_0, % 51.70/8.40 | | | | | | | | | | | | | | | | | | | | | | all_8_0, all_8_3, simplifying with (1596), (1610) % 51.70/8.40 | | | | | | | | | | | | | | | | | | | | | | gives: % 51.70/8.40 | | | | | | | | | | | | | | | | | | | | | | (1634) all_598_0 = all_570_0 % 51.70/8.40 | | | | | | | | | | | | | | | | | | | | | | % 51.70/8.40 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (17) with all_526_0, all_598_0, % 51.70/8.40 | | | | | | | | | | | | | | | | | | | | | | all_8_0, all_8_3, simplifying with (1576), (1610) % 51.70/8.40 | | | | | | | | | | | | | | | | | | | | | | gives: % 51.70/8.40 | | | | | | | | | | | | | | | | | | | | | | (1635) all_598_0 = all_526_0 % 51.70/8.40 | | | | | | | | | | | | | | | | | | | | | | % 51.70/8.40 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (17) with all_524_0, all_598_0, % 51.70/8.40 | | | | | | | | | | | | | | | | | | | | | | all_8_0, all_8_3, simplifying with (1574), (1610) % 51.70/8.40 | | | | | | | | | | | | | | | | | | | | | | gives: % 51.70/8.40 | | | | | | | | | | | | | | | | | | | | | | (1636) all_598_0 = all_524_0 % 51.70/8.40 | | | | | | | | | | | | | | | | | | | | | | % 51.70/8.40 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (17) with all_548_0, all_616_0, % 51.70/8.40 | | | | | | | | | | | | | | | | | | | | | | all_8_0, all_8_3, simplifying with (1584), (1618) % 51.70/8.40 | | | | | | | | | | | | | | | | | | | | | | gives: % 51.70/8.40 | | | | | | | | | | | | | | | | | | | | | | (1637) all_616_0 = all_548_0 % 51.70/8.40 | | | | | | | | | | | | | | | | | | | | | | % 51.70/8.40 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (17) with all_616_0, all_618_0, % 51.70/8.40 | | | | | | | | | | | | | | | | | | | | | | all_8_0, all_8_3, simplifying with (1618), (1620) % 51.70/8.40 | | | | | | | | | | | | | | | | | | | | | | gives: % 51.70/8.40 | | | | | | | | | | | | | | | | | | | | | | (1638) all_618_0 = all_616_0 % 51.70/8.40 | | | | | | | | | | | | | | | | | | | | | | % 51.70/8.40 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (17) with all_602_0, all_618_0, % 51.70/8.40 | | | | | | | | | | | | | | | | | | | | | | all_8_0, all_8_3, simplifying with (1614), (1620) % 51.70/8.40 | | | | | | | | | | | | | | | | | | | | | | gives: % 51.70/8.40 | | | | | | | | | | | | | | | | | | | | | | (1639) all_618_0 = all_602_0 % 51.70/8.40 | | | | | | | | | | | | | | | | | | | | | | % 51.70/8.40 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (17) with all_586_1, all_618_0, % 51.70/8.40 | | | | | | | | | | | | | | | | | | | | | | all_8_0, all_8_3, simplifying with (1603), (1620) % 51.70/8.40 | | | | | | | | | | | | | | | | | | | | | | gives: % 51.70/8.40 | | | | | | | | | | | | | | | | | | | | | | (1640) all_618_0 = all_586_1 % 51.70/8.40 | | | | | | | | | | | | | | | | | | | | | | % 51.70/8.40 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1638), (1639) imply: % 51.70/8.40 | | | | | | | | | | | | | | | | | | | | | | (1641) all_616_0 = all_602_0 % 51.70/8.40 | | | | | | | | | | | | | | | | | | | | | | % 51.70/8.40 | | | | | | | | | | | | | | | | | | | | | | SIMP: (1641) implies: % 51.70/8.40 | | | | | | | | | | | | | | | | | | | | | | (1642) all_616_0 = all_602_0 % 51.70/8.40 | | | | | | | | | | | | | | | | | | | | | | % 51.70/8.40 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1639), (1640) imply: % 51.70/8.40 | | | | | | | | | | | | | | | | | | | | | | (1643) all_602_0 = all_586_1 % 51.70/8.40 | | | | | | | | | | | | | | | | | | | | | | % 51.70/8.40 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1637), (1642) imply: % 51.70/8.40 | | | | | | | | | | | | | | | | | | | | | | (1644) all_602_0 = all_548_0 % 51.70/8.40 | | | | | | | | | | | | | | | | | | | | | | % 51.70/8.40 | | | | | | | | | | | | | | | | | | | | | | SIMP: (1644) implies: % 51.70/8.40 | | | | | | | | | | | | | | | | | | | | | | (1645) all_602_0 = all_548_0 % 51.70/8.40 | | | | | | | | | | | | | | | | | | | | | | % 51.70/8.40 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1643), (1645) imply: % 51.70/8.40 | | | | | | | | | | | | | | | | | | | | | | (1646) all_586_1 = all_548_0 % 51.70/8.40 | | | | | | | | | | | | | | | | | | | | | | % 51.70/8.40 | | | | | | | | | | | | | | | | | | | | | | SIMP: (1646) implies: % 51.70/8.40 | | | | | | | | | | | | | | | | | | | | | | (1647) all_586_1 = all_548_0 % 51.70/8.40 | | | | | | | | | | | | | | | | | | | | | | % 51.70/8.40 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1626), (1627) imply: % 51.70/8.40 | | | | | | | | | | | | | | | | | | | | | | (1648) all_594_0 = all_582_1 % 51.70/8.40 | | | | | | | | | | | | | | | | | | | | | | % 51.70/8.40 | | | | | | | | | | | | | | | | | | | | | | SIMP: (1648) implies: % 51.70/8.40 | | | | | | | | | | | | | | | | | | | | | | (1649) all_594_0 = all_582_1 % 51.70/8.40 | | | | | | | | | | | | | | | | | | | | | | % 51.70/8.40 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1632), (1636) imply: % 51.70/8.40 | | | | | | | | | | | | | | | | | | | | | | (1650) all_592_1 = all_524_0 % 51.70/8.40 | | | | | | | | | | | | | | | | | | | | | | % 51.70/8.40 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1632), (1635) imply: % 51.70/8.40 | | | | | | | | | | | | | | | | | | | | | | (1651) all_592_1 = all_526_0 % 51.70/8.40 | | | | | | | | | | | | | | | | | | | | | | % 51.70/8.40 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1632), (1634) imply: % 51.70/8.40 | | | | | | | | | | | | | | | | | | | | | | (1652) all_592_1 = all_570_0 % 51.70/8.40 | | | | | | | | | | | | | | | | | | | | | | % 51.70/8.40 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1632), (1633) imply: % 51.70/8.40 | | | | | | | | | | | | | | | | | | | | | | (1653) all_592_1 = all_586_1 % 51.70/8.40 | | | | | | | | | | | | | | | | | | | | | | % 51.70/8.40 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1625), (1649) imply: % 51.70/8.40 | | | | | | | | | | | | | | | | | | | | | | (1654) all_584_1 = all_582_1 % 51.70/8.40 | | | | | | | | | | | | | | | | | | | | | | % 51.70/8.40 | | | | | | | | | | | | | | | | | | | | | | SIMP: (1654) implies: % 51.70/8.40 | | | | | | | | | | | | | | | | | | | | | | (1655) all_584_1 = all_582_1 % 51.70/8.40 | | | | | | | | | | | | | | | | | | | | | | % 51.70/8.40 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1652), (1653) imply: % 51.70/8.40 | | | | | | | | | | | | | | | | | | | | | | (1656) all_586_1 = all_570_0 % 51.70/8.40 | | | | | | | | | | | | | | | | | | | | | | % 51.70/8.40 | | | | | | | | | | | | | | | | | | | | | | SIMP: (1656) implies: % 51.70/8.40 | | | | | | | | | | | | | | | | | | | | | | (1657) all_586_1 = all_570_0 % 51.70/8.40 | | | | | | | | | | | | | | | | | | | | | | % 51.70/8.40 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1650), (1652) imply: % 51.70/8.40 | | | | | | | | | | | | | | | | | | | | | | (1658) all_570_0 = all_524_0 % 51.70/8.40 | | | | | | | | | | | | | | | | | | | | | | % 51.70/8.40 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1651), (1652) imply: % 51.70/8.40 | | | | | | | | | | | | | | | | | | | | | | (1659) all_570_0 = all_526_0 % 51.70/8.40 | | | | | | | | | | | | | | | | | | | | | | % 51.70/8.40 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1647), (1657) imply: % 51.70/8.40 | | | | | | | | | | | | | | | | | | | | | | (1660) all_570_0 = all_548_0 % 51.70/8.40 | | | | | | | | | | | | | | | | | | | | | | % 51.70/8.40 | | | | | | | | | | | | | | | | | | | | | | SIMP: (1660) implies: % 51.70/8.40 | | | | | | | | | | | | | | | | | | | | | | (1661) all_570_0 = all_548_0 % 51.70/8.40 | | | | | | | | | | | | | | | | | | | | | | % 51.70/8.40 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1624), (1655) imply: % 51.70/8.40 | | | | | | | | | | | | | | | | | | | | | | (1662) all_582_1 = all_8_3 % 51.70/8.40 | | | | | | | | | | | | | | | | | | | | | | % 51.70/8.40 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1658), (1661) imply: % 51.70/8.40 | | | | | | | | | | | | | | | | | | | | | | (1663) all_548_0 = all_524_0 % 51.70/8.40 | | | | | | | | | | | | | | | | | | | | | | % 51.70/8.40 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1659), (1661) imply: % 51.70/8.40 | | | | | | | | | | | | | | | | | | | | | | (1664) all_548_0 = all_526_0 % 51.70/8.40 | | | | | | | | | | | | | | | | | | | | | | % 51.70/8.40 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1630), (1631) imply: % 51.70/8.40 | | | | | | | | | | | | | | | | | | | | | | (1665) all_544_0 = all_8_0 % 51.70/8.40 | | | | | | | | | | | | | | | | | | | | | | % 51.70/8.40 | | | | | | | | | | | | | | | | | | | | | | SIMP: (1665) implies: % 51.70/8.40 | | | | | | | | | | | | | | | | | | | | | | (1666) all_544_0 = all_8_0 % 51.70/8.40 | | | | | | | | | | | | | | | | | | | | | | % 51.70/8.40 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1628), (1629) imply: % 51.70/8.40 | | | | | | | | | | | | | | | | | | | | | | (1667) all_544_0 = all_538_0 % 51.70/8.40 | | | | | | | | | | | | | | | | | | | | | | % 51.70/8.40 | | | | | | | | | | | | | | | | | | | | | | SIMP: (1667) implies: % 51.70/8.40 | | | | | | | | | | | | | | | | | | | | | | (1668) all_544_0 = all_538_0 % 51.70/8.40 | | | | | | | | | | | | | | | | | | | | | | % 51.70/8.40 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1663), (1664) imply: % 51.70/8.40 | | | | | | | | | | | | | | | | | | | | | | (1669) all_526_0 = all_524_0 % 51.70/8.40 | | | | | | | | | | | | | | | | | | | | | | % 51.70/8.40 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1666), (1668) imply: % 51.70/8.40 | | | | | | | | | | | | | | | | | | | | | | (1670) all_538_0 = all_8_0 % 51.70/8.40 | | | | | | | | | | | | | | | | | | | | | | % 51.70/8.40 | | | | | | | | | | | | | | | | | | | | | | SIMP: (1670) implies: % 51.70/8.40 | | | | | | | | | | | | | | | | | | | | | | (1671) all_538_0 = all_8_0 % 51.70/8.40 | | | | | | | | | | | | | | | | | | | | | | % 51.70/8.40 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1592), (1623) imply: % 51.70/8.40 | | | | | | | | | | | | | | | | | | | | | | (1672) product(all_8_3, all_8_0) = all_8_0 % 51.70/8.40 | | | | | | | | | | | | | | | | | | | | | | % 51.70/8.40 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1601) gives: % 51.70/8.40 | | | | | | | | | | | | | | | | | | | | | | % 51.70/8.40 | | | | | | | | | | | | | | | | | | | | | | Case 1: % 51.70/8.40 | | | | | | | | | | | | | | | | | | | | | | | % 51.70/8.40 | | | | | | | | | | | | | | | | | | | | | | | (1673) ~ (all_584_1 = all_8_3) % 51.70/8.40 | | | | | | | | | | | | | | | | | | | | | | | % 51.70/8.40 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1624), (1673) imply: % 51.70/8.40 | | | | | | | | | | | | | | | | | | | | | | | (1674) $false % 51.70/8.40 | | | | | | | | | | | | | | | | | | | | | | | % 51.70/8.40 | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1674) is inconsistent. % 51.70/8.40 | | | | | | | | | | | | | | | | | | | | | | | % 51.70/8.40 | | | | | | | | | | | | | | | | | | | | | | Case 2: % 51.70/8.40 | | | | | | | | | | | | | | | | | | | | | | | % 51.70/8.40 | | | | | | | | | | | | | | | | | | | | | | | % 51.70/8.40 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (17) with all_524_0, all_8_0, % 51.70/8.40 | | | | | | | | | | | | | | | | | | | | | | | all_8_0, all_8_3, simplifying with (1574), (1672) % 51.70/8.40 | | | | | | | | | | | | | | | | | | | | | | | gives: % 51.70/8.40 | | | | | | | | | | | | | | | | | | | | | | | (1675) all_524_0 = all_8_0 % 51.70/8.40 | | | | | | | | | | | | | | | | | | | | | | | % 51.70/8.40 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1650), (1675) imply: % 51.70/8.40 | | | | | | | | | | | | | | | | | | | | | | | (1676) all_592_1 = all_8_0 % 51.70/8.40 | | | | | | | | | | | | | | | | | | | | | | | % 51.70/8.40 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1606) gives: % 51.70/8.40 | | | | | | | | | | | | | | | | | | | | | | | % 51.70/8.40 | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 51.70/8.40 | | | | | | | | | | | | | | | | | | | | | | | | % 51.70/8.40 | | | | | | | | | | | | | | | | | | | | | | | | (1677) ~ (all_592_1 = all_8_0) % 51.70/8.40 | | | | | | | | | | | | | | | | | | | | | | | | % 51.70/8.40 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1676), (1677) imply: % 51.70/8.40 | | | | | | | | | | | | | | | | | | | | | | | | (1678) $false % 51.70/8.40 | | | | | | | | | | | | | | | | | | | | | | | | % 51.70/8.40 | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1678) is inconsistent. % 51.70/8.40 | | | | | | | | | | | | | | | | | | | | | | | | % 51.70/8.40 | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 51.70/8.40 | | | | | | | | | | | | | | | | | | | | | | | | % 51.70/8.40 | | | | | | | | | | | | | | | | | | | | | | | | % 51.70/8.40 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with all_380_0, all_8_6, % 51.70/8.40 | | | | | | | | | | | | | | | | | | | | | | | | all_8_1, all_8_6, all_380_0, simplifying with % 51.70/8.40 | | | | | | | | | | | | | | | | | | | | | | | | (21), (24), (1369), (1426), (1571) gives: % 51.70/8.40 | | | | | | | | | | | | | | | | | | | | | | | | (1679) ? [v0: $i] : (product(all_8_1, v0) = all_380_0 & % 51.70/8.40 | | | | | | | | | | | | | | | | | | | | | | | | product(all_8_6, all_380_0) = v0 & $i(v0)) % 51.70/8.40 | | | | | | | | | | | | | | | | | | | | | | | | % 51.70/8.40 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (1) with all_380_0, all_8_5, % 51.70/8.40 | | | | | | | | | | | | | | | | | | | | | | | | all_8_1, all_8_5, all_8_1, simplifying with (22), % 51.70/8.40 | | | | | | | | | | | | | | | | | | | | | | | | (24), (443), (1426), (1568) gives: % 51.70/8.40 | | | | | | | | | | | | | | | | | | | | | | | | (1680) ? [v0: $i] : (product(v0, all_380_0) = all_8_1 & % 51.70/8.40 | | | | | | | | | | | | | | | | | | | | | | | | product(all_8_1, all_8_5) = v0 & $i(v0)) % 51.70/8.40 | | | | | | | | | | | | | | | | | | | | | | | | % 51.70/8.40 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (1) with all_380_0, all_8_6, % 51.70/8.40 | | | | | | | | | | | | | | | | | | | | | | | | all_8_5, all_380_0, all_8_5, simplifying with % 51.70/8.40 | | | | | | | | | | | | | | | | | | | | | | | | (21), (22), (1426), (1568), (1571) gives: % 51.70/8.40 | | | | | | | | | | | | | | | | | | | | | | | | (1681) ? [v0: $i] : (product(v0, all_380_0) = all_8_5 & % 51.70/8.40 | | | | | | | | | | | | | | | | | | | | | | | | product(all_8_5, all_8_6) = v0 & $i(v0)) % 51.70/8.40 | | | | | | | | | | | | | | | | | | | | | | | | % 51.70/8.40 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with all_8_5, all_380_0, % 51.70/8.40 | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (22), (1426), (1568) gives: % 51.70/8.40 | | | | | | | | | | | | | | | | | | | | | | | | (1682) ? [v0: $i] : ? [v1: any] : (l(all_8_5, % 51.70/8.40 | | | | | | | | | | | | | | | | | | | | | | | | all_380_0) = v1 & product(all_380_0, all_8_5) % 51.70/8.40 | | | | | | | | | | | | | | | | | | | | | | | | = v0 & $i(v0) & ( ~ (v0 = all_380_0) | v1 = 0)) % 51.70/8.40 | | | | | | | | | | | | | | | | | | | | | | | | % 51.70/8.40 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (13) with all_380_0, all_8_5, % 51.70/8.40 | | | | | | | | | | | | | | | | | | | | | | | | all_8_5, simplifying with (22), (1426), (1568) % 51.70/8.40 | | | | | | | | | | | | | | | | | | | | | | | | gives: % 51.70/8.40 | | | | | | | | | | | | | | | | | | | | | | | | (1683) ? [v0: any] : ? [v1: $i] : (r(all_380_0, % 51.70/8.40 | | | | | | | | | | | | | | | | | | | | | | | | all_8_5) = v0 & product(all_380_0, all_8_5) = % 51.70/8.40 | | | | | | | | | | | | | | | | | | | | | | | | v1 & $i(v1) & ( ~ (v0 = 0) | (v1 = all_8_5 & % 51.70/8.40 | | | | | | | | | | | | | | | | | | | | | | | | all_380_0 = all_8_5))) % 51.70/8.40 | | | | | | | | | | | | | | | | | | | | | | | | % 51.70/8.40 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (12) with all_8_5, all_380_0, % 51.70/8.40 | | | | | | | | | | | | | | | | | | | | | | | | all_8_5, simplifying with (22), (1426), (1568) % 51.70/8.40 | | | | | | | | | | | | | | | | | | | | | | | | gives: % 51.70/8.41 | | | | | | | | | | | | | | | | | | | | | | | | (1684) ? [v0: any] : ? [v1: $i] : (r(all_8_5, % 51.70/8.41 | | | | | | | | | | | | | | | | | | | | | | | | all_380_0) = v0 & product(all_380_0, all_8_5) % 51.70/8.41 | | | | | | | | | | | | | | | | | | | | | | | | = v1 & $i(v1) & ( ~ (v0 = 0) | (v1 = all_8_5 & % 51.70/8.41 | | | | | | | | | | | | | | | | | | | | | | | | all_380_0 = all_8_5))) % 51.70/8.41 | | | | | | | | | | | | | | | | | | | | | | | | % 51.70/8.41 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (6) with all_8_5, all_380_0, % 51.70/8.41 | | | | | | | | | | | | | | | | | | | | | | | | all_8_5, simplifying with (22), (1426), (1568) % 51.70/8.41 | | | | | | | | | | | | | | | | | | | | | | | | gives: % 51.70/8.41 | | | | | | | | | | | | | | | | | | | | | | | | (1685) ? [v0: any] : ? [v1: $i] : (l(all_8_5, % 51.70/8.41 | | | | | | | | | | | | | | | | | | | | | | | | all_380_0) = v0 & product(all_380_0, all_8_5) % 51.70/8.41 | | | | | | | | | | | | | | | | | | | | | | | | = v1 & $i(v1) & ( ~ (v0 = 0) | v1 = all_380_0)) % 51.70/8.41 | | | | | | | | | | | | | | | | | | | | | | | | % 51.70/8.41 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (1) with all_8_6, all_380_0, % 51.70/8.41 | | | | | | | | | | | | | | | | | | | | | | | | all_8_1, all_8_6, all_8_6, simplifying with (21), % 51.70/8.41 | | | | | | | | | | | | | | | | | | | | | | | | (24), (1369), (1426), (1572) gives: % 51.70/8.41 | | | | | | | | | | | | | | | | | | | | | | | | (1686) ? [v0: $i] : (product(v0, all_8_6) = all_8_6 & % 51.70/8.41 | | | | | | | | | | | | | | | | | | | | | | | | product(all_8_1, all_380_0) = v0 & $i(v0)) % 51.70/8.41 | | | | | | | | | | | | | | | | | | | | | | | | % 51.70/8.41 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with all_380_0, all_8_6, % 51.70/8.41 | | | | | | | | | | | | | | | | | | | | | | | | all_380_0, all_8_6, all_380_0, simplifying with % 51.70/8.41 | | | | | | | | | | | | | | | | | | | | | | | | (21), (1426), (1571), (1572) gives: % 51.70/8.41 | | | | | | | | | | | | | | | | | | | | | | | | (1687) ? [v0: $i] : (product(all_380_0, v0) = all_380_0 % 51.70/8.41 | | | | | | | | | | | | | | | | | | | | | | | | & product(all_8_6, all_380_0) = v0 & $i(v0)) % 51.70/8.41 | | | | | | | | | | | | | | | | | | | | | | | | % 51.70/8.41 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (9) with all_380_0, all_8_6, % 51.70/8.41 | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (21), (1426), (1572) gives: % 51.70/8.41 | | | | | | | | | | | | | | | | | | | | | | | | (1688) ? [v0: $i] : ? [v1: any] : (r(all_380_0, % 51.70/8.41 | | | | | | | | | | | | | | | | | | | | | | | | all_8_6) = v1 & product(all_8_6, all_380_0) = % 51.70/8.41 | | | | | | | | | | | | | | | | | | | | | | | | v0 & $i(v0) & ( ~ (v0 = all_380_0) | v1 = 0)) % 51.70/8.41 | | | | | | | | | | | | | | | | | | | | | | | | % 51.70/8.41 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (7) with all_8_6, all_380_0, % 51.70/8.41 | | | | | | | | | | | | | | | | | | | | | | | | all_8_6, simplifying with (21), (1426), (1572) % 51.70/8.41 | | | | | | | | | | | | | | | | | | | | | | | | gives: % 51.70/8.41 | | | | | | | | | | | | | | | | | | | | | | | | (1689) ? [v0: any] : ? [v1: $i] : (l(all_8_6, % 51.70/8.41 | | | | | | | | | | | | | | | | | | | | | | | | all_380_0) = v0 & product(all_8_6, all_380_0) % 51.70/8.41 | | | | | | | | | | | | | | | | | | | | | | | | = v1 & $i(v1) & ( ~ (v0 = 0) | (v1 = all_8_6 & % 51.70/8.41 | | | | | | | | | | | | | | | | | | | | | | | | all_380_0 = all_8_6))) % 51.70/8.41 | | | | | | | | | | | | | | | | | | | | | | | | % 51.70/8.41 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (12) with all_380_0, all_8_6, % 51.70/8.41 | | | | | | | | | | | | | | | | | | | | | | | | all_8_6, simplifying with (21), (1426), (1572) % 51.70/8.41 | | | | | | | | | | | | | | | | | | | | | | | | gives: % 51.70/8.41 | | | | | | | | | | | | | | | | | | | | | | | | (1690) ? [v0: any] : ? [v1: $i] : (r(all_380_0, % 51.70/8.41 | | | | | | | | | | | | | | | | | | | | | | | | all_8_6) = v0 & product(all_8_6, all_380_0) = % 51.70/8.41 | | | | | | | | | | | | | | | | | | | | | | | | v1 & $i(v1) & ( ~ (v0 = 0) | v1 = all_380_0)) % 51.70/8.41 | | | | | | | | | | | | | | | | | | | | | | | | % 51.70/8.41 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (6) with all_380_0, all_8_6, % 51.70/8.41 | | | | | | | | | | | | | | | | | | | | | | | | all_8_6, simplifying with (21), (1426), (1572) % 51.70/8.41 | | | | | | | | | | | | | | | | | | | | | | | | gives: % 51.70/8.41 | | | | | | | | | | | | | | | | | | | | | | | | (1691) ? [v0: any] : ? [v1: $i] : (l(all_380_0, % 51.70/8.41 | | | | | | | | | | | | | | | | | | | | | | | | all_8_6) = v0 & product(all_8_6, all_380_0) = % 51.70/8.41 | | | | | | | | | | | | | | | | | | | | | | | | v1 & $i(v1) & ( ~ (v0 = 0) | (v1 = all_8_6 & % 51.70/8.41 | | | | | | | | | | | | | | | | | | | | | | | | all_380_0 = all_8_6))) % 51.70/8.41 | | | | | | | | | | | | | | | | | | | | | | | | % 51.70/8.41 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with all_8_6, all_8_5, % 51.70/8.41 | | | | | | | | | | | | | | | | | | | | | | | | all_380_0, all_380_0, all_8_6, simplifying with % 51.70/8.41 | | | | | | | | | | | | | | | | | | | | | | | | (21), (22), (1426), (1569), (1572) gives: % 51.70/8.41 | | | | | | | | | | | | | | | | | | | | | | | | (1692) ? [v0: $i] : (product(all_380_0, v0) = all_8_6 & % 51.70/8.41 | | | | | | | | | | | | | | | | | | | | | | | | product(all_8_5, all_8_6) = v0 & $i(v0)) % 51.70/8.41 | | | | | | | | | | | | | | | | | | | | | | | | % 51.70/8.41 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (1) with all_380_0, all_8_5, % 51.70/8.41 | | | | | | | | | | | | | | | | | | | | | | | | all_380_0, all_8_5, all_380_0, simplifying with % 51.70/8.41 | | | | | | | | | | | | | | | | | | | | | | | | (22), (1426), (1568), (1569) gives: % 51.70/8.41 | | | | | | | | | | | | | | | | | | | | | | | | (1693) ? [v0: $i] : (product(v0, all_380_0) = all_380_0 % 51.70/8.41 | | | | | | | | | | | | | | | | | | | | | | | | & product(all_380_0, all_8_5) = v0 & $i(v0)) % 51.70/8.41 | | | | | | | | | | | | | | | | | | | | | | | | % 51.70/8.41 | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (1693) with fresh symbol all_689_0 % 51.70/8.41 | | | | | | | | | | | | | | | | | | | | | | | | gives: % 51.70/8.41 | | | | | | | | | | | | | | | | | | | | | | | | (1694) product(all_689_0, all_380_0) = all_380_0 & % 51.70/8.41 | | | | | | | | | | | | | | | | | | | | | | | | product(all_380_0, all_8_5) = all_689_0 & % 51.70/8.41 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_689_0) % 51.70/8.41 | | | | | | | | | | | | | | | | | | | | | | | | % 51.70/8.41 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1694) implies: % 51.70/8.41 | | | | | | | | | | | | | | | | | | | | | | | | (1695) product(all_380_0, all_8_5) = all_689_0 % 51.70/8.41 | | | | | | | | | | | | | | | | | | | | | | | | % 51.70/8.41 | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (1686) with fresh symbol all_693_0 % 51.70/8.41 | | | | | | | | | | | | | | | | | | | | | | | | gives: % 51.70/8.41 | | | | | | | | | | | | | | | | | | | | | | | | (1696) product(all_693_0, all_8_6) = all_8_6 & % 51.70/8.41 | | | | | | | | | | | | | | | | | | | | | | | | product(all_8_1, all_380_0) = all_693_0 & % 51.70/8.41 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_693_0) % 51.70/8.41 | | | | | | | | | | | | | | | | | | | | | | | | % 51.70/8.41 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1696) implies: % 51.70/8.41 | | | | | | | | | | | | | | | | | | | | | | | | (1697) product(all_8_1, all_380_0) = all_693_0 % 51.70/8.41 | | | | | | | | | | | | | | | | | | | | | | | | % 51.70/8.41 | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (1681) with fresh symbol all_695_0 % 51.70/8.41 | | | | | | | | | | | | | | | | | | | | | | | | gives: % 51.70/8.41 | | | | | | | | | | | | | | | | | | | | | | | | (1698) product(all_695_0, all_380_0) = all_8_5 & % 51.70/8.41 | | | | | | | | | | | | | | | | | | | | | | | | product(all_8_5, all_8_6) = all_695_0 & % 51.70/8.41 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_695_0) % 51.70/8.41 | | | | | | | | | | | | | | | | | | | | | | | | % 51.70/8.41 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1698) implies: % 51.70/8.41 | | | | | | | | | | | | | | | | | | | | | | | | (1699) product(all_8_5, all_8_6) = all_695_0 % 51.70/8.41 | | | | | | | | | | | | | | | | | | | | | | | | (1700) product(all_695_0, all_380_0) = all_8_5 % 51.70/8.41 | | | | | | | | | | | | | | | | | | | | | | | | % 51.70/8.41 | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (1680) with fresh symbol all_701_0 % 51.70/8.41 | | | | | | | | | | | | | | | | | | | | | | | | gives: % 51.70/8.41 | | | | | | | | | | | | | | | | | | | | | | | | (1701) product(all_701_0, all_380_0) = all_8_1 & % 51.70/8.41 | | | | | | | | | | | | | | | | | | | | | | | | product(all_8_1, all_8_5) = all_701_0 & % 51.70/8.41 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_701_0) % 51.70/8.41 | | | | | | | | | | | | | | | | | | | | | | | | % 51.70/8.41 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1701) implies: % 51.70/8.41 | | | | | | | | | | | | | | | | | | | | | | | | (1702) product(all_8_1, all_8_5) = all_701_0 % 51.70/8.41 | | | | | | | | | | | | | | | | | | | | | | | | (1703) product(all_701_0, all_380_0) = all_8_1 % 51.70/8.41 | | | | | | | | | | | | | | | | | | | | | | | | % 51.70/8.41 | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (1679) with fresh symbol all_707_0 % 51.70/8.41 | | | | | | | | | | | | | | | | | | | | | | | | gives: % 51.70/8.41 | | | | | | | | | | | | | | | | | | | | | | | | (1704) product(all_8_1, all_707_0) = all_380_0 & % 51.70/8.41 | | | | | | | | | | | | | | | | | | | | | | | | product(all_8_6, all_380_0) = all_707_0 & % 51.70/8.41 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_707_0) % 51.70/8.41 | | | | | | | | | | | | | | | | | | | | | | | | % 51.70/8.41 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1704) implies: % 51.70/8.41 | | | | | | | | | | | | | | | | | | | | | | | | (1705) product(all_8_6, all_380_0) = all_707_0 % 51.70/8.41 | | | | | | | | | | | | | | | | | | | | | | | | (1706) product(all_8_1, all_707_0) = all_380_0 % 51.70/8.41 | | | | | | | | | | | | | | | | | | | | | | | | % 51.70/8.41 | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (1692) with fresh symbol all_713_0 % 51.70/8.41 | | | | | | | | | | | | | | | | | | | | | | | | gives: % 51.70/8.41 | | | | | | | | | | | | | | | | | | | | | | | | (1707) product(all_380_0, all_713_0) = all_8_6 & % 51.70/8.41 | | | | | | | | | | | | | | | | | | | | | | | | product(all_8_5, all_8_6) = all_713_0 & % 51.70/8.41 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_713_0) % 51.70/8.41 | | | | | | | | | | | | | | | | | | | | | | | | % 51.70/8.41 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1707) implies: % 51.70/8.41 | | | | | | | | | | | | | | | | | | | | | | | | (1708) product(all_8_5, all_8_6) = all_713_0 % 51.70/8.41 | | | | | | | | | | | | | | | | | | | | | | | | % 51.70/8.41 | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (1687) with fresh symbol all_715_0 % 51.70/8.41 | | | | | | | | | | | | | | | | | | | | | | | | gives: % 51.70/8.41 | | | | | | | | | | | | | | | | | | | | | | | | (1709) product(all_380_0, all_715_0) = all_380_0 & % 51.70/8.41 | | | | | | | | | | | | | | | | | | | | | | | | product(all_8_6, all_380_0) = all_715_0 & % 51.70/8.41 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_715_0) % 51.70/8.41 | | | | | | | | | | | | | | | | | | | | | | | | % 51.70/8.41 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1709) implies: % 51.70/8.41 | | | | | | | | | | | | | | | | | | | | | | | | (1710) product(all_8_6, all_380_0) = all_715_0 % 51.70/8.41 | | | | | | | | | | | | | | | | | | | | | | | | % 51.70/8.41 | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (1688) with fresh symbols all_745_0, % 51.70/8.41 | | | | | | | | | | | | | | | | | | | | | | | | all_745_1 gives: % 51.70/8.41 | | | | | | | | | | | | | | | | | | | | | | | | (1711) r(all_380_0, all_8_6) = all_745_0 & % 51.70/8.41 | | | | | | | | | | | | | | | | | | | | | | | | product(all_8_6, all_380_0) = all_745_1 & % 51.70/8.41 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_745_1) & ( ~ (all_745_1 = all_380_0) | % 51.70/8.41 | | | | | | | | | | | | | | | | | | | | | | | | all_745_0 = 0) % 51.70/8.41 | | | | | | | | | | | | | | | | | | | | | | | | % 51.70/8.41 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1711) implies: % 51.70/8.41 | | | | | | | | | | | | | | | | | | | | | | | | (1712) product(all_8_6, all_380_0) = all_745_1 % 51.70/8.41 | | | | | | | | | | | | | | | | | | | | | | | | % 51.70/8.41 | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (1685) with fresh symbols all_753_0, % 51.70/8.41 | | | | | | | | | | | | | | | | | | | | | | | | all_753_1 gives: % 51.70/8.41 | | | | | | | | | | | | | | | | | | | | | | | | (1713) l(all_8_5, all_380_0) = all_753_1 & % 51.70/8.41 | | | | | | | | | | | | | | | | | | | | | | | | product(all_380_0, all_8_5) = all_753_0 & % 51.70/8.41 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_753_0) & ( ~ (all_753_1 = 0) | all_753_0 = % 51.70/8.41 | | | | | | | | | | | | | | | | | | | | | | | | all_380_0) % 51.70/8.41 | | | | | | | | | | | | | | | | | | | | | | | | % 51.70/8.41 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1713) implies: % 51.70/8.41 | | | | | | | | | | | | | | | | | | | | | | | | (1714) product(all_380_0, all_8_5) = all_753_0 % 51.70/8.41 | | | | | | | | | | | | | | | | | | | | | | | | % 51.70/8.41 | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (1690) with fresh symbols all_755_0, % 51.70/8.41 | | | | | | | | | | | | | | | | | | | | | | | | all_755_1 gives: % 51.70/8.41 | | | | | | | | | | | | | | | | | | | | | | | | (1715) r(all_380_0, all_8_6) = all_755_1 & % 51.70/8.41 | | | | | | | | | | | | | | | | | | | | | | | | product(all_8_6, all_380_0) = all_755_0 & % 51.70/8.41 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_755_0) & ( ~ (all_755_1 = 0) | all_755_0 = % 51.70/8.41 | | | | | | | | | | | | | | | | | | | | | | | | all_380_0) % 51.70/8.41 | | | | | | | | | | | | | | | | | | | | | | | | % 51.70/8.41 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1715) implies: % 51.70/8.41 | | | | | | | | | | | | | | | | | | | | | | | | (1716) product(all_8_6, all_380_0) = all_755_0 % 51.70/8.41 | | | | | | | | | | | | | | | | | | | | | | | | % 51.70/8.41 | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (1682) with fresh symbols all_757_0, % 51.70/8.41 | | | | | | | | | | | | | | | | | | | | | | | | all_757_1 gives: % 51.70/8.41 | | | | | | | | | | | | | | | | | | | | | | | | (1717) l(all_8_5, all_380_0) = all_757_0 & % 51.70/8.41 | | | | | | | | | | | | | | | | | | | | | | | | product(all_380_0, all_8_5) = all_757_1 & % 51.70/8.41 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_757_1) & ( ~ (all_757_1 = all_380_0) | % 51.70/8.41 | | | | | | | | | | | | | | | | | | | | | | | | all_757_0 = 0) % 51.70/8.41 | | | | | | | | | | | | | | | | | | | | | | | | % 51.70/8.41 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1717) implies: % 51.70/8.41 | | | | | | | | | | | | | | | | | | | | | | | | (1718) product(all_380_0, all_8_5) = all_757_1 % 51.70/8.41 | | | | | | | | | | | | | | | | | | | | | | | | (1719) ~ (all_757_1 = all_380_0) | all_757_0 = 0 % 51.70/8.41 | | | | | | | | | | | | | | | | | | | | | | | | % 51.70/8.41 | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (1689) with fresh symbols all_761_0, % 51.70/8.41 | | | | | | | | | | | | | | | | | | | | | | | | all_761_1 gives: % 51.70/8.41 | | | | | | | | | | | | | | | | | | | | | | | | (1720) l(all_8_6, all_380_0) = all_761_1 & % 51.70/8.41 | | | | | | | | | | | | | | | | | | | | | | | | product(all_8_6, all_380_0) = all_761_0 & % 51.70/8.41 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_761_0) & ( ~ (all_761_1 = 0) | (all_761_0 = % 51.70/8.41 | | | | | | | | | | | | | | | | | | | | | | | | all_8_6 & all_380_0 = all_8_6)) % 51.70/8.41 | | | | | | | | | | | | | | | | | | | | | | | | % 51.70/8.41 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1720) implies: % 51.70/8.41 | | | | | | | | | | | | | | | | | | | | | | | | (1721) product(all_8_6, all_380_0) = all_761_0 % 51.70/8.41 | | | | | | | | | | | | | | | | | | | | | | | | % 51.70/8.41 | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (1691) with fresh symbols all_763_0, % 51.70/8.41 | | | | | | | | | | | | | | | | | | | | | | | | all_763_1 gives: % 51.70/8.41 | | | | | | | | | | | | | | | | | | | | | | | | (1722) l(all_380_0, all_8_6) = all_763_1 & % 51.70/8.41 | | | | | | | | | | | | | | | | | | | | | | | | product(all_8_6, all_380_0) = all_763_0 & % 51.70/8.41 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_763_0) & ( ~ (all_763_1 = 0) | (all_763_0 = % 51.70/8.41 | | | | | | | | | | | | | | | | | | | | | | | | all_8_6 & all_380_0 = all_8_6)) % 51.70/8.41 | | | | | | | | | | | | | | | | | | | | | | | | % 51.70/8.41 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1722) implies: % 51.70/8.41 | | | | | | | | | | | | | | | | | | | | | | | | (1723) product(all_8_6, all_380_0) = all_763_0 % 51.70/8.41 | | | | | | | | | | | | | | | | | | | | | | | | % 51.70/8.41 | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (1684) with fresh symbols all_767_0, % 51.70/8.41 | | | | | | | | | | | | | | | | | | | | | | | | all_767_1 gives: % 51.70/8.41 | | | | | | | | | | | | | | | | | | | | | | | | (1724) r(all_8_5, all_380_0) = all_767_1 & % 51.70/8.41 | | | | | | | | | | | | | | | | | | | | | | | | product(all_380_0, all_8_5) = all_767_0 & % 51.70/8.41 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_767_0) & ( ~ (all_767_1 = 0) | (all_767_0 = % 51.70/8.41 | | | | | | | | | | | | | | | | | | | | | | | | all_8_5 & all_380_0 = all_8_5)) % 51.70/8.41 | | | | | | | | | | | | | | | | | | | | | | | | % 51.70/8.41 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1724) implies: % 51.70/8.41 | | | | | | | | | | | | | | | | | | | | | | | | (1725) product(all_380_0, all_8_5) = all_767_0 % 51.70/8.41 | | | | | | | | | | | | | | | | | | | | | | | | % 51.70/8.41 | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (1683) with fresh symbols all_775_0, % 51.70/8.41 | | | | | | | | | | | | | | | | | | | | | | | | all_775_1 gives: % 51.70/8.41 | | | | | | | | | | | | | | | | | | | | | | | | (1726) r(all_380_0, all_8_5) = all_775_1 & % 51.70/8.41 | | | | | | | | | | | | | | | | | | | | | | | | product(all_380_0, all_8_5) = all_775_0 & % 51.70/8.41 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_775_0) & ( ~ (all_775_1 = 0) | (all_775_0 = % 51.70/8.41 | | | | | | | | | | | | | | | | | | | | | | | | all_8_5 & all_380_0 = all_8_5)) % 51.70/8.41 | | | | | | | | | | | | | | | | | | | | | | | | % 51.70/8.41 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1726) implies: % 51.70/8.41 | | | | | | | | | | | | | | | | | | | | | | | | (1727) product(all_380_0, all_8_5) = all_775_0 % 51.70/8.41 | | | | | | | | | | | | | | | | | | | | | | | | % 51.70/8.41 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (17) with all_715_0, all_745_1, % 51.70/8.41 | | | | | | | | | | | | | | | | | | | | | | | | all_380_0, all_8_6, simplifying with (1710), % 51.70/8.41 | | | | | | | | | | | | | | | | | | | | | | | | (1712) gives: % 51.70/8.41 | | | | | | | | | | | | | | | | | | | | | | | | (1728) all_745_1 = all_715_0 % 51.70/8.41 | | | | | | | | | | | | | | | | | | | | | | | | % 51.70/8.41 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (17) with all_745_1, all_755_0, % 51.70/8.41 | | | | | | | | | | | | | | | | | | | | | | | | all_380_0, all_8_6, simplifying with (1712), % 51.70/8.41 | | | | | | | | | | | | | | | | | | | | | | | | (1716) gives: % 51.70/8.41 | | | | | | | | | | | | | | | | | | | | | | | | (1729) all_755_0 = all_745_1 % 51.70/8.41 | | | | | | | | | | | | | | | | | | | | | | | | % 51.70/8.41 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (17) with all_380_0, all_761_0, % 51.70/8.41 | | | | | | | | | | | | | | | | | | | | | | | | all_380_0, all_8_6, simplifying with (1571), % 51.70/8.41 | | | | | | | | | | | | | | | | | | | | | | | | (1721) gives: % 51.70/8.41 | | | | | | | | | | | | | | | | | | | | | | | | (1730) all_761_0 = all_380_0 % 51.70/8.41 | | | | | | | | | | | | | | | | | | | | | | | | % 51.70/8.41 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (17) with all_755_0, all_761_0, % 51.70/8.41 | | | | | | | | | | | | | | | | | | | | | | | | all_380_0, all_8_6, simplifying with (1716), % 51.70/8.41 | | | | | | | | | | | | | | | | | | | | | | | | (1721) gives: % 51.70/8.41 | | | | | | | | | | | | | | | | | | | | | | | | (1731) all_761_0 = all_755_0 % 51.70/8.41 | | | | | | | | | | | | | | | | | | | | | | | | % 51.70/8.41 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (17) with all_745_1, all_763_0, % 51.70/8.41 | | | | | | | | | | | | | | | | | | | | | | | | all_380_0, all_8_6, simplifying with (1712), % 51.70/8.41 | | | | | | | | | | | | | | | | | | | | | | | | (1723) gives: % 51.70/8.41 | | | | | | | | | | | | | | | | | | | | | | | | (1732) all_763_0 = all_745_1 % 51.70/8.41 | | | | | | | | | | | | | | | | | | | | | | | | % 51.70/8.41 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (17) with all_707_0, all_763_0, % 51.70/8.41 | | | | | | | | | | | | | | | | | | | | | | | | all_380_0, all_8_6, simplifying with (1705), % 51.70/8.41 | | | | | | | | | | | | | | | | | | | | | | | | (1723) gives: % 51.70/8.41 | | | | | | | | | | | | | | | | | | | | | | | | (1733) all_763_0 = all_707_0 % 51.70/8.41 | | | | | | | | | | | | | | | | | | | | | | | | % 51.70/8.41 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (17) with all_8_3, all_713_0, % 51.70/8.41 | | | | | | | | | | | | | | | | | | | | | | | | all_8_6, all_8_5, simplifying with (27), (1708) % 51.70/8.41 | | | | | | | | | | | | | | | | | | | | | | | | gives: % 51.70/8.41 | | | | | | | | | | | | | | | | | | | | | | | | (1734) all_713_0 = all_8_3 % 51.70/8.41 | | | | | | | | | | | | | | | | | | | | | | | | % 51.70/8.41 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (17) with all_695_0, all_713_0, % 51.70/8.41 | | | | | | | | | | | | | | | | | | | | | | | | all_8_6, all_8_5, simplifying with (1699), (1708) % 51.70/8.41 | | | | | | | | | | | | | | | | | | | | | | | | gives: % 51.70/8.41 | | | | | | | | | | | | | | | | | | | | | | | | (1735) all_713_0 = all_695_0 % 51.70/8.41 | | | | | | | | | | | | | | | | | | | | | | | | % 51.70/8.42 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (17) with all_8_1, all_701_0, % 51.70/8.42 | | | | | | | | | | | | | | | | | | | | | | | | all_8_5, all_8_1, simplifying with (443), (1702) % 51.70/8.42 | | | | | | | | | | | | | | | | | | | | | | | | gives: % 51.70/8.42 | | | | | | | | | | | | | | | | | | | | | | | | (1736) all_701_0 = all_8_1 % 51.70/8.42 | | | | | | | | | | | | | | | | | | | | | | | | % 51.70/8.42 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (17) with all_380_0, all_753_0, % 51.70/8.42 | | | | | | | | | | | | | | | | | | | | | | | | all_8_5, all_380_0, simplifying with (1569), % 51.70/8.42 | | | | | | | | | | | | | | | | | | | | | | | | (1714) gives: % 51.70/8.42 | | | | | | | | | | | | | | | | | | | | | | | | (1737) all_753_0 = all_380_0 % 51.70/8.42 | | | | | | | | | | | | | | | | | | | | | | | | % 51.70/8.42 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (17) with all_689_0, all_767_0, % 51.70/8.42 | | | | | | | | | | | | | | | | | | | | | | | | all_8_5, all_380_0, simplifying with (1695), % 51.70/8.42 | | | | | | | | | | | | | | | | | | | | | | | | (1725) gives: % 51.70/8.42 | | | | | | | | | | | | | | | | | | | | | | | | (1738) all_767_0 = all_689_0 % 51.70/8.42 | | | | | | | | | | | | | | | | | | | | | | | | % 51.70/8.42 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (17) with all_767_0, all_775_0, % 51.70/8.42 | | | | | | | | | | | | | | | | | | | | | | | | all_8_5, all_380_0, simplifying with (1725), % 51.70/8.42 | | | | | | | | | | | | | | | | | | | | | | | | (1727) gives: % 51.70/8.42 | | | | | | | | | | | | | | | | | | | | | | | | (1739) all_775_0 = all_767_0 % 51.70/8.42 | | | | | | | | | | | | | | | | | | | | | | | | % 51.70/8.42 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (17) with all_757_1, all_775_0, % 51.70/8.42 | | | | | | | | | | | | | | | | | | | | | | | | all_8_5, all_380_0, simplifying with (1718), % 51.70/8.42 | | | | | | | | | | | | | | | | | | | | | | | | (1727) gives: % 51.70/8.42 | | | | | | | | | | | | | | | | | | | | | | | | (1740) all_775_0 = all_757_1 % 51.70/8.42 | | | | | | | | | | | | | | | | | | | | | | | | % 51.70/8.42 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (17) with all_753_0, all_775_0, % 51.70/8.42 | | | | | | | | | | | | | | | | | | | | | | | | all_8_5, all_380_0, simplifying with (1714), % 51.70/8.42 | | | | | | | | | | | | | | | | | | | | | | | | (1727) gives: % 51.70/8.42 | | | | | | | | | | | | | | | | | | | | | | | | (1741) all_775_0 = all_753_0 % 51.70/8.42 | | | | | | | | | | | | | | | | | | | | | | | | % 51.70/8.42 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1739), (1740) imply: % 51.70/8.42 | | | | | | | | | | | | | | | | | | | | | | | | (1742) all_767_0 = all_757_1 % 51.70/8.42 | | | | | | | | | | | | | | | | | | | | | | | | % 51.70/8.42 | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1742) implies: % 51.70/8.42 | | | | | | | | | | | | | | | | | | | | | | | | (1743) all_767_0 = all_757_1 % 51.70/8.42 | | | | | | | | | | | | | | | | | | | | | | | | % 51.70/8.42 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1740), (1741) imply: % 51.70/8.42 | | | | | | | | | | | | | | | | | | | | | | | | (1744) all_757_1 = all_753_0 % 51.70/8.42 | | | | | | | | | | | | | | | | | | | | | | | | % 51.70/8.42 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1738), (1743) imply: % 51.70/8.42 | | | | | | | | | | | | | | | | | | | | | | | | (1745) all_757_1 = all_689_0 % 51.70/8.42 | | | | | | | | | | | | | | | | | | | | | | | | % 51.70/8.42 | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1745) implies: % 51.70/8.42 | | | | | | | | | | | | | | | | | | | | | | | | (1746) all_757_1 = all_689_0 % 51.70/8.42 | | | | | | | | | | | | | | | | | | | | | | | | % 51.70/8.42 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1732), (1733) imply: % 51.70/8.42 | | | | | | | | | | | | | | | | | | | | | | | | (1747) all_745_1 = all_707_0 % 51.70/8.42 | | | | | | | | | | | | | | | | | | | | | | | | % 51.70/8.42 | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1747) implies: % 51.70/8.42 | | | | | | | | | | | | | | | | | | | | | | | | (1748) all_745_1 = all_707_0 % 51.70/8.42 | | | | | | | | | | | | | | | | | | | | | | | | % 51.70/8.42 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1730), (1731) imply: % 51.70/8.42 | | | | | | | | | | | | | | | | | | | | | | | | (1749) all_755_0 = all_380_0 % 51.70/8.42 | | | | | | | | | | | | | | | | | | | | | | | | % 51.70/8.42 | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1749) implies: % 51.70/8.42 | | | | | | | | | | | | | | | | | | | | | | | | (1750) all_755_0 = all_380_0 % 51.70/8.42 | | | | | | | | | | | | | | | | | | | | | | | | % 51.70/8.42 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1744), (1746) imply: % 51.70/8.42 | | | | | | | | | | | | | | | | | | | | | | | | (1751) all_753_0 = all_689_0 % 51.70/8.42 | | | | | | | | | | | | | | | | | | | | | | | | % 51.70/8.42 | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1751) implies: % 51.70/8.42 | | | | | | | | | | | | | | | | | | | | | | | | (1752) all_753_0 = all_689_0 % 51.70/8.42 | | | | | | | | | | | | | | | | | | | | | | | | % 51.70/8.42 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1729), (1750) imply: % 51.70/8.42 | | | | | | | | | | | | | | | | | | | | | | | | (1753) all_745_1 = all_380_0 % 51.70/8.42 | | | | | | | | | | | | | | | | | | | | | | | | % 51.70/8.42 | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1753) implies: % 51.70/8.42 | | | | | | | | | | | | | | | | | | | | | | | | (1754) all_745_1 = all_380_0 % 51.70/8.42 | | | | | | | | | | | | | | | | | | | | | | | | % 51.70/8.42 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1737), (1752) imply: % 51.70/8.42 | | | | | | | | | | | | | | | | | | | | | | | | (1755) all_689_0 = all_380_0 % 51.70/8.42 | | | | | | | | | | | | | | | | | | | | | | | | % 51.70/8.42 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1728), (1754) imply: % 51.70/8.42 | | | | | | | | | | | | | | | | | | | | | | | | (1756) all_715_0 = all_380_0 % 51.70/8.42 | | | | | | | | | | | | | | | | | | | | | | | | % 51.70/8.42 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1728), (1748) imply: % 51.70/8.42 | | | | | | | | | | | | | | | | | | | | | | | | (1757) all_715_0 = all_707_0 % 51.70/8.42 | | | | | | | | | | | | | | | | | | | | | | | | % 51.70/8.42 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1756), (1757) imply: % 51.70/8.42 | | | | | | | | | | | | | | | | | | | | | | | | (1758) all_707_0 = all_380_0 % 51.70/8.42 | | | | | | | | | | | | | | | | | | | | | | | | % 51.70/8.42 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1734), (1735) imply: % 51.70/8.42 | | | | | | | | | | | | | | | | | | | | | | | | (1759) all_695_0 = all_8_3 % 51.70/8.42 | | | | | | | | | | | | | | | | | | | | | | | | % 51.70/8.42 | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1759) implies: % 51.70/8.42 | | | | | | | | | | | | | | | | | | | | | | | | (1760) all_695_0 = all_8_3 % 51.70/8.42 | | | | | | | | | | | | | | | | | | | | | | | | % 51.70/8.42 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1746), (1755) imply: % 51.70/8.42 | | | | | | | | | | | | | | | | | | | | | | | | (1761) all_757_1 = all_380_0 % 51.70/8.42 | | | | | | | | | | | | | | | | | | | | | | | | % 51.70/8.42 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1703), (1736) imply: % 51.70/8.42 | | | | | | | | | | | | | | | | | | | | | | | | (1762) product(all_8_1, all_380_0) = all_8_1 % 51.70/8.42 | | | | | | | | | | | | | | | | | | | | | | | | % 51.70/8.42 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1700), (1760) imply: % 51.70/8.42 | | | | | | | | | | | | | | | | | | | | | | | | (1763) product(all_8_3, all_380_0) = all_8_5 % 51.70/8.42 | | | | | | | | | | | | | | | | | | | | | | | | % 51.70/8.42 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1706), (1758) imply: % 51.70/8.42 | | | | | | | | | | | | | | | | | | | | | | | | (1764) product(all_8_1, all_380_0) = all_380_0 % 51.70/8.42 | | | | | | | | | | | | | | | | | | | | | | | | % 51.70/8.42 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1719) gives: % 51.70/8.42 | | | | | | | | | | | | | | | | | | | | | | | | % 51.70/8.42 | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 51.70/8.42 | | | | | | | | | | | | | | | | | | | | | | | | | % 51.70/8.42 | | | | | | | | | | | | | | | | | | | | | | | | | (1765) ~ (all_757_1 = all_380_0) % 51.70/8.42 | | | | | | | | | | | | | | | | | | | | | | | | | % 51.70/8.42 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1761), (1765) imply: % 51.70/8.42 | | | | | | | | | | | | | | | | | | | | | | | | | (1766) $false % 51.70/8.42 | | | | | | | | | | | | | | | | | | | | | | | | | % 51.70/8.42 | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1766) is inconsistent. % 51.70/8.42 | | | | | | | | | | | | | | | | | | | | | | | | | % 51.70/8.42 | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 51.70/8.42 | | | | | | | | | | | | | | | | | | | | | | | | | % 51.70/8.42 | | | | | | | | | | | | | | | | | | | | | | | | | % 51.70/8.42 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (17) with all_693_0, all_8_1, % 51.70/8.42 | | | | | | | | | | | | | | | | | | | | | | | | | all_380_0, all_8_1, simplifying with (1697), % 51.70/8.42 | | | | | | | | | | | | | | | | | | | | | | | | | (1762) gives: % 51.70/8.42 | | | | | | | | | | | | | | | | | | | | | | | | | (1767) all_693_0 = all_8_1 % 51.70/8.42 | | | | | | | | | | | | | | | | | | | | | | | | | % 51.70/8.42 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (17) with all_693_0, all_380_0, % 51.70/8.42 | | | | | | | | | | | | | | | | | | | | | | | | | all_380_0, all_8_1, simplifying with (1697), % 51.70/8.42 | | | | | | | | | | | | | | | | | | | | | | | | | (1764) gives: % 51.70/8.42 | | | | | | | | | | | | | | | | | | | | | | | | | (1768) all_693_0 = all_380_0 % 51.70/8.42 | | | | | | | | | | | | | | | | | | | | | | | | | % 51.70/8.42 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1767), (1768) imply: % 51.70/8.42 | | | | | | | | | | | | | | | | | | | | | | | | | (1769) all_380_0 = all_8_1 % 51.70/8.42 | | | | | | | | | | | | | | | | | | | | | | | | | % 51.70/8.42 | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1769) implies: % 51.70/8.42 | | | | | | | | | | | | | | | | | | | | | | | | | (1770) all_380_0 = all_8_1 % 51.70/8.42 | | | | | | | | | | | | | | | | | | | | | | | | | % 51.70/8.42 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1763), (1770) imply: % 51.70/8.42 | | | | | | | | | | | | | | | | | | | | | | | | | (1771) product(all_8_3, all_8_1) = all_8_5 % 51.70/8.42 | | | | | | | | | | | | | | | | | | | | | | | | | % 51.70/8.42 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (17) with all_8_0, all_8_5, all_8_1, % 51.70/8.42 | | | | | | | | | | | | | | | | | | | | | | | | | all_8_3, simplifying with (601), (1771) gives: % 51.70/8.42 | | | | | | | | | | | | | | | | | | | | | | | | | (1772) all_8_0 = all_8_5 % 51.70/8.42 | | | | | | | | | | | | | | | | | | | | | | | | | % 51.70/8.42 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (690), (1772) imply: % 51.70/8.42 | | | | | | | | | | | | | | | | | | | | | | | | | (1773) $false % 51.70/8.42 | | | | | | | | | | | | | | | | | | | | | | | | | % 51.70/8.42 | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1773) is inconsistent. % 51.70/8.42 | | | | | | | | | | | | | | | | | | | | | | | | | % 51.90/8.42 | | | | | | | | | | | | | | | | | | | | | | | | End of split % 51.90/8.42 | | | | | | | | | | | | | | | | | | | | | | | | % 51.90/8.42 | | | | | | | | | | | | | | | | | | | | | | | End of split % 51.90/8.42 | | | | | | | | | | | | | | | | | | | | | | | % 51.90/8.42 | | | | | | | | | | | | | | | | | | | | | | End of split % 51.90/8.42 | | | | | | | | | | | | | | | | | | | | | | % 51.90/8.42 | | | | | | | | | | | | | | | | | | | | | Case 2: % 51.90/8.42 | | | | | | | | | | | | | | | | | | | | | | % 51.90/8.42 | | | | | | | | | | | | | | | | | | | | | | (1774) all_612_0 = all_8_0 & all_8_3 = all_8_6 % 51.90/8.42 | | | | | | | | | | | | | | | | | | | | | | % 51.90/8.42 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1774) implies: % 51.90/8.42 | | | | | | | | | | | | | | | | | | | | | | (1775) all_8_3 = all_8_6 % 51.90/8.42 | | | | | | | | | | | | | | | | | | | | | | % 51.90/8.42 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1385), (1775) imply: % 51.90/8.42 | | | | | | | | | | | | | | | | | | | | | | (1776) $false % 51.90/8.42 | | | | | | | | | | | | | | | | | | | | | | % 51.90/8.42 | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1776) is inconsistent. % 51.90/8.42 | | | | | | | | | | | | | | | | | | | | | | % 51.90/8.42 | | | | | | | | | | | | | | | | | | | | | End of split % 51.90/8.42 | | | | | | | | | | | | | | | | | | | | | % 51.90/8.43 | | | | | | | | | | | | | | | | | | | | Case 2: % 51.90/8.43 | | | | | | | | | | | | | | | | | | | | | % 51.90/8.43 | | | | | | | | | | | | | | | | | | | | | (1777) all_440_0 = all_8_3 & all_8_1 = all_8_6 % 51.90/8.43 | | | | | | | | | | | | | | | | | | | | | % 51.90/8.43 | | | | | | | | | | | | | | | | | | | | | ALPHA: (1777) implies: % 51.90/8.43 | | | | | | | | | | | | | | | | | | | | | (1778) all_8_1 = all_8_6 % 51.90/8.43 | | | | | | | | | | | | | | | | | | | | | % 51.90/8.43 | | | | | | | | | | | | | | | | | | | | | REDUCE: (1544), (1778) imply: % 51.90/8.43 | | | | | | | | | | | | | | | | | | | | | (1779) $false % 51.90/8.43 | | | | | | | | | | | | | | | | | | | | | % 51.90/8.43 | | | | | | | | | | | | | | | | | | | | | CLOSE: (1779) is inconsistent. % 51.90/8.43 | | | | | | | | | | | | | | | | | | | | | % 51.90/8.43 | | | | | | | | | | | | | | | | | | | | End of split % 51.90/8.43 | | | | | | | | | | | | | | | | | | | | % 51.90/8.43 | | | | | | | | | | | | | | | | | | | Case 2: % 51.90/8.43 | | | | | | | | | | | | | | | | | | | | % 51.90/8.43 | | | | | | | | | | | | | | | | | | | | (1780) all_496_0 = all_8_6 % 51.90/8.43 | | | | | | | | | | | | | | | | | | | | (1781) ~ (all_496_1 = all_8_1) % 51.90/8.43 | | | | | | | | | | | | | | | | | | | | % 51.90/8.43 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1541), (1780) imply: % 51.90/8.43 | | | | | | | | | | | | | | | | | | | | (1782) all_8_1 = all_8_6 % 51.90/8.43 | | | | | | | | | | | | | | | | | | | | % 51.90/8.43 | | | | | | | | | | | | | | | | | | | | REDUCE: (1542), (1781), (1782) imply: % 51.90/8.43 | | | | | | | | | | | | | | | | | | | | (1783) $false % 51.90/8.43 | | | | | | | | | | | | | | | | | | | | % 51.90/8.43 | | | | | | | | | | | | | | | | | | | | CLOSE: (1783) is inconsistent. % 51.90/8.43 | | | | | | | | | | | | | | | | | | | | % 51.90/8.43 | | | | | | | | | | | | | | | | | | | End of split % 51.90/8.43 | | | | | | | | | | | | | | | | | | | % 51.90/8.43 | | | | | | | | | | | | | | | | | | End of split % 51.90/8.43 | | | | | | | | | | | | | | | | | | % 51.90/8.43 | | | | | | | | | | | | | | | | | Case 2: % 51.90/8.43 | | | | | | | | | | | | | | | | | | % 51.90/8.43 | | | | | | | | | | | | | | | | | | (1784) all_80_0 = all_8_6 & all_8_1 = all_8_2 % 51.90/8.43 | | | | | | | | | | | | | | | | | | % 51.90/8.43 | | | | | | | | | | | | | | | | | | ALPHA: (1784) implies: % 51.90/8.43 | | | | | | | | | | | | | | | | | | (1785) all_80_0 = all_8_6 % 51.90/8.43 | | | | | | | | | | | | | | | | | | % 51.90/8.43 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (445), (1785) imply: % 51.90/8.43 | | | | | | | | | | | | | | | | | | (1786) all_8_1 = all_8_6 % 51.90/8.43 | | | | | | | | | | | | | | | | | | % 51.90/8.43 | | | | | | | | | | | | | | | | | | REDUCE: (601), (1786) imply: % 51.90/8.43 | | | | | | | | | | | | | | | | | | (1787) product(all_8_3, all_8_6) = all_8_0 % 51.90/8.43 | | | | | | | | | | | | | | | | | | % 51.90/8.43 | | | | | | | | | | | | | | | | | | REDUCE: (28), (1786) imply: % 51.90/8.43 | | | | | | | | | | | | | | | | | | (1788) product(all_8_5, all_8_6) = all_8_0 % 51.90/8.43 | | | | | | | | | | | | | | | | | | % 51.90/8.43 | | | | | | | | | | | | | | | | | | REDUCE: (1526), (1786) imply: % 51.90/8.43 | | | | | | | | | | | | | | | | | | (1789) product(all_8_6, all_8_0) = all_8_6 % 51.90/8.43 | | | | | | | | | | | | | | | | | | % 51.90/8.43 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (17) with all_8_3, all_8_0, all_8_6, % 51.90/8.43 | | | | | | | | | | | | | | | | | | all_8_3, simplifying with (444), (1787) gives: % 51.90/8.43 | | | | | | | | | | | | | | | | | | (1790) all_8_0 = all_8_3 % 51.90/8.43 | | | | | | | | | | | | | | | | | | % 51.90/8.43 | | | | | | | | | | | | | | | | | | REDUCE: (690), (1790) imply: % 51.90/8.43 | | | | | | | | | | | | | | | | | | (1791) ~ (all_8_3 = all_8_5) % 51.90/8.43 | | | | | | | | | | | | | | | | | | % 51.90/8.43 | | | | | | | | | | | | | | | | | | REDUCE: (158), (1790) imply: % 51.90/8.43 | | | | | | | | | | | | | | | | | | (1792) product(all_8_3, all_8_5) = all_8_3 % 51.90/8.43 | | | | | | | | | | | | | | | | | | % 51.90/8.43 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_8_3, all_8_3, % 51.90/8.43 | | | | | | | | | | | | | | | | | | simplifying with (23), (1522) gives: % 51.90/8.43 | | | | | | | | | | | | | | | | | | (1793) ? [v0: $i] : ? [v1: any] : (l(all_8_3, all_8_3) % 51.90/8.43 | | | | | | | | | | | | | | | | | | = v1 & product(all_8_3, all_8_3) = v0 & $i(v0) & % 51.90/8.43 | | | | | | | | | | | | | | | | | | ( ~ (v0 = all_8_3) | v1 = 0)) % 51.90/8.43 | | | | | | | | | | | | | | | | | | % 51.90/8.43 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (10) with all_8_3, all_8_3, % 51.90/8.43 | | | | | | | | | | | | | | | | | | simplifying with (23), (1522) gives: % 51.90/8.43 | | | | | | | | | | | | | | | | | | (1794) ? [v0: $i] : ? [v1: any] : (r(all_8_3, all_8_3) % 51.90/8.43 | | | | | | | | | | | | | | | | | | = v1 & product(all_8_3, all_8_3) = v0 & $i(v0) & % 51.90/8.43 | | | | | | | | | | | | | | | | | | ( ~ (v0 = all_8_3) | v1 = 0)) % 51.90/8.43 | | | | | | | | | | | | | | | | | | % 51.90/8.43 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (13) with all_8_3, all_8_3, all_8_3, % 51.90/8.43 | | | | | | | | | | | | | | | | | | simplifying with (23), (1522) gives: % 51.90/8.43 | | | | | | | | | | | | | | | | | | (1795) ? [v0: any] : ? [v1: $i] : (r(all_8_3, all_8_3) % 51.90/8.43 | | | | | | | | | | | | | | | | | | = v0 & product(all_8_3, all_8_3) = v1 & $i(v1) & % 51.90/8.43 | | | | | | | | | | | | | | | | | | ( ~ (v0 = 0) | v1 = all_8_3)) % 51.90/8.43 | | | | | | | | | | | | | | | | | | % 51.90/8.43 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (7) with all_8_3, all_8_3, all_8_3, % 51.90/8.43 | | | | | | | | | | | | | | | | | | simplifying with (23), (1522) gives: % 51.90/8.43 | | | | | | | | | | | | | | | | | | (1796) ? [v0: any] : ? [v1: $i] : (l(all_8_3, all_8_3) % 51.90/8.43 | | | | | | | | | | | | | | | | | | = v0 & product(all_8_3, all_8_3) = v1 & $i(v1) & % 51.90/8.43 | | | | | | | | | | | | | | | | | | ( ~ (v0 = 0) | v1 = all_8_3)) % 51.90/8.43 | | | | | | | | | | | | | | | | | | % 51.90/8.43 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (5) with all_380_0, all_8_5, % 51.90/8.43 | | | | | | | | | | | | | | | | | | simplifying with (22), (1426), (1427) gives: % 51.90/8.43 | | | | | | | | | | | | | | | | | | (1797) product(all_380_0, all_8_5) = all_380_0 & % 51.90/8.43 | | | | | | | | | | | | | | | | | | product(all_8_5, all_380_0) = all_8_5 % 51.90/8.43 | | | | | | | | | | | | | | | | | | % 51.90/8.43 | | | | | | | | | | | | | | | | | | ALPHA: (1797) implies: % 51.90/8.43 | | | | | | | | | | | | | | | | | | (1798) product(all_8_5, all_380_0) = all_8_5 % 51.90/8.43 | | | | | | | | | | | | | | | | | | (1799) product(all_380_0, all_8_5) = all_380_0 % 51.90/8.43 | | | | | | | | | | | | | | | | | | % 51.90/8.43 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (11) with all_8_6, all_380_0, % 51.90/8.43 | | | | | | | | | | | | | | | | | | simplifying with (21), (1426), (1428) gives: % 51.90/8.43 | | | | | | | | | | | | | | | | | | (1800) product(all_380_0, all_8_6) = all_8_6 & % 51.90/8.43 | | | | | | | | | | | | | | | | | | product(all_8_6, all_380_0) = all_380_0 % 51.90/8.43 | | | | | | | | | | | | | | | | | | % 51.90/8.43 | | | | | | | | | | | | | | | | | | ALPHA: (1800) implies: % 51.90/8.43 | | | | | | | | | | | | | | | | | | (1801) product(all_8_6, all_380_0) = all_380_0 % 51.90/8.43 | | | | | | | | | | | | | | | | | | (1802) product(all_380_0, all_8_6) = all_8_6 % 51.90/8.43 | | | | | | | | | | | | | | | | | | % 51.90/8.43 | | | | | | | | | | | | | | | | | | DELTA: instantiating (1796) with fresh symbols all_514_0, % 51.90/8.43 | | | | | | | | | | | | | | | | | | all_514_1 gives: % 51.90/8.43 | | | | | | | | | | | | | | | | | | (1803) l(all_8_3, all_8_3) = all_514_1 & product(all_8_3, % 51.90/8.43 | | | | | | | | | | | | | | | | | | all_8_3) = all_514_0 & $i(all_514_0) & ( ~ % 51.90/8.43 | | | | | | | | | | | | | | | | | | (all_514_1 = 0) | all_514_0 = all_8_3) % 51.90/8.43 | | | | | | | | | | | | | | | | | | % 51.90/8.43 | | | | | | | | | | | | | | | | | | ALPHA: (1803) implies: % 51.90/8.43 | | | | | | | | | | | | | | | | | | (1804) $i(all_514_0) % 51.90/8.43 | | | | | | | | | | | | | | | | | | (1805) product(all_8_3, all_8_3) = all_514_0 % 51.90/8.43 | | | | | | | | | | | | | | | | | | % 51.90/8.43 | | | | | | | | | | | | | | | | | | DELTA: instantiating (1795) with fresh symbols all_516_0, % 51.90/8.43 | | | | | | | | | | | | | | | | | | all_516_1 gives: % 51.90/8.43 | | | | | | | | | | | | | | | | | | (1806) r(all_8_3, all_8_3) = all_516_1 & product(all_8_3, % 51.90/8.43 | | | | | | | | | | | | | | | | | | all_8_3) = all_516_0 & $i(all_516_0) & ( ~ % 51.90/8.43 | | | | | | | | | | | | | | | | | | (all_516_1 = 0) | all_516_0 = all_8_3) % 51.90/8.43 | | | | | | | | | | | | | | | | | | % 51.90/8.43 | | | | | | | | | | | | | | | | | | ALPHA: (1806) implies: % 51.90/8.43 | | | | | | | | | | | | | | | | | | (1807) product(all_8_3, all_8_3) = all_516_0 % 51.90/8.43 | | | | | | | | | | | | | | | | | | % 51.90/8.43 | | | | | | | | | | | | | | | | | | DELTA: instantiating (1794) with fresh symbols all_518_0, % 51.90/8.43 | | | | | | | | | | | | | | | | | | all_518_1 gives: % 51.90/8.43 | | | | | | | | | | | | | | | | | | (1808) r(all_8_3, all_8_3) = all_518_0 & product(all_8_3, % 51.90/8.43 | | | | | | | | | | | | | | | | | | all_8_3) = all_518_1 & $i(all_518_1) & ( ~ % 51.90/8.43 | | | | | | | | | | | | | | | | | | (all_518_1 = all_8_3) | all_518_0 = 0) % 51.90/8.43 | | | | | | | | | | | | | | | | | | % 51.90/8.43 | | | | | | | | | | | | | | | | | | ALPHA: (1808) implies: % 51.90/8.43 | | | | | | | | | | | | | | | | | | (1809) product(all_8_3, all_8_3) = all_518_1 % 51.90/8.43 | | | | | | | | | | | | | | | | | | (1810) ~ (all_518_1 = all_8_3) | all_518_0 = 0 % 51.90/8.43 | | | | | | | | | | | | | | | | | | % 51.90/8.43 | | | | | | | | | | | | | | | | | | DELTA: instantiating (1793) with fresh symbols all_520_0, % 51.90/8.43 | | | | | | | | | | | | | | | | | | all_520_1 gives: % 51.90/8.43 | | | | | | | | | | | | | | | | | | (1811) l(all_8_3, all_8_3) = all_520_0 & product(all_8_3, % 51.90/8.43 | | | | | | | | | | | | | | | | | | all_8_3) = all_520_1 & $i(all_520_1) & ( ~ % 51.90/8.43 | | | | | | | | | | | | | | | | | | (all_520_1 = all_8_3) | all_520_0 = 0) % 51.90/8.43 | | | | | | | | | | | | | | | | | | % 51.90/8.43 | | | | | | | | | | | | | | | | | | ALPHA: (1811) implies: % 51.90/8.43 | | | | | | | | | | | | | | | | | | (1812) product(all_8_3, all_8_3) = all_520_1 % 51.90/8.43 | | | | | | | | | | | | | | | | | | % 51.90/8.43 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (17) with all_514_0, all_516_0, % 51.90/8.43 | | | | | | | | | | | | | | | | | | all_8_3, all_8_3, simplifying with (1805), (1807) % 51.90/8.43 | | | | | | | | | | | | | | | | | | gives: % 51.90/8.43 | | | | | | | | | | | | | | | | | | (1813) all_516_0 = all_514_0 % 51.90/8.43 | | | | | | | | | | | | | | | | | | % 51.90/8.43 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (17) with all_516_0, all_518_1, % 51.90/8.43 | | | | | | | | | | | | | | | | | | all_8_3, all_8_3, simplifying with (1807), (1809) % 51.90/8.43 | | | | | | | | | | | | | | | | | | gives: % 51.90/8.43 | | | | | | | | | | | | | | | | | | (1814) all_518_1 = all_516_0 % 51.90/8.43 | | | | | | | | | | | | | | | | | | % 51.90/8.43 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (17) with all_8_3, all_520_1, % 51.90/8.43 | | | | | | | | | | | | | | | | | | all_8_3, all_8_3, simplifying with (1522), (1812) % 51.90/8.43 | | | | | | | | | | | | | | | | | | gives: % 51.90/8.43 | | | | | | | | | | | | | | | | | | (1815) all_520_1 = all_8_3 % 51.90/8.43 | | | | | | | | | | | | | | | | | | % 51.90/8.43 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (17) with all_518_1, all_520_1, % 51.90/8.43 | | | | | | | | | | | | | | | | | | all_8_3, all_8_3, simplifying with (1809), (1812) % 51.90/8.43 | | | | | | | | | | | | | | | | | | gives: % 51.90/8.43 | | | | | | | | | | | | | | | | | | (1816) all_520_1 = all_518_1 % 51.90/8.43 | | | | | | | | | | | | | | | | | | % 51.90/8.43 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1815), (1816) imply: % 51.90/8.43 | | | | | | | | | | | | | | | | | | (1817) all_518_1 = all_8_3 % 51.90/8.43 | | | | | | | | | | | | | | | | | | % 51.90/8.43 | | | | | | | | | | | | | | | | | | SIMP: (1817) implies: % 51.90/8.43 | | | | | | | | | | | | | | | | | | (1818) all_518_1 = all_8_3 % 51.90/8.43 | | | | | | | | | | | | | | | | | | % 51.90/8.43 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1814), (1818) imply: % 51.90/8.43 | | | | | | | | | | | | | | | | | | (1819) all_516_0 = all_8_3 % 51.90/8.43 | | | | | | | | | | | | | | | | | | % 51.90/8.43 | | | | | | | | | | | | | | | | | | SIMP: (1819) implies: % 51.90/8.43 | | | | | | | | | | | | | | | | | | (1820) all_516_0 = all_8_3 % 51.90/8.43 | | | | | | | | | | | | | | | | | | % 51.90/8.43 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1813), (1820) imply: % 51.90/8.43 | | | | | | | | | | | | | | | | | | (1821) all_514_0 = all_8_3 % 51.90/8.43 | | | | | | | | | | | | | | | | | | % 51.90/8.43 | | | | | | | | | | | | | | | | | | SIMP: (1821) implies: % 51.90/8.43 | | | | | | | | | | | | | | | | | | (1822) all_514_0 = all_8_3 % 51.90/8.43 | | | | | | | | | | | | | | | | | | % 51.90/8.43 | | | | | | | | | | | | | | | | | | BETA: splitting (1810) gives: % 51.90/8.43 | | | | | | | | | | | | | | | | | | % 51.90/8.43 | | | | | | | | | | | | | | | | | | Case 1: % 51.90/8.43 | | | | | | | | | | | | | | | | | | | % 51.90/8.43 | | | | | | | | | | | | | | | | | | | (1823) ~ (all_518_1 = all_8_3) % 51.90/8.43 | | | | | | | | | | | | | | | | | | | % 51.90/8.43 | | | | | | | | | | | | | | | | | | | REDUCE: (1818), (1823) imply: % 51.90/8.43 | | | | | | | | | | | | | | | | | | | (1824) $false % 51.90/8.43 | | | | | | | | | | | | | | | | | | | % 51.90/8.43 | | | | | | | | | | | | | | | | | | | CLOSE: (1824) is inconsistent. % 51.90/8.43 | | | | | | | | | | | | | | | | | | | % 51.90/8.43 | | | | | | | | | | | | | | | | | | Case 2: % 51.90/8.43 | | | | | | | | | | | | | | | | | | | % 51.90/8.43 | | | | | | | | | | | | | | | | | | | % 51.90/8.43 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with all_380_0, all_8_3, % 51.90/8.43 | | | | | | | | | | | | | | | | | | | all_8_6, all_8_6, all_380_0, simplifying with % 51.90/8.43 | | | | | | | | | | | | | | | | | | | (21), (23), (1370), (1426), (1801) gives: % 51.90/8.43 | | | | | | | | | | | | | | | | | | | (1825) ? [v0: $i] : (product(all_8_3, all_380_0) = v0 & % 51.90/8.43 | | | | | | | | | | | | | | | | | | | product(all_8_6, v0) = all_380_0 & $i(v0)) % 51.90/8.43 | | | | | | | | | | | | | | | | | | | % 51.90/8.43 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (1) with all_380_0, all_8_5, % 51.90/8.43 | | | | | | | | | | | | | | | | | | | all_8_3, all_8_5, all_8_3, simplifying with (22), % 51.90/8.43 | | | | | | | | | | | | | | | | | | | (23), (1426), (1792), (1798) gives: % 51.90/8.43 | | | | | | | | | | | | | | | | | | | (1826) ? [v0: $i] : (product(v0, all_380_0) = all_8_3 & % 51.90/8.43 | | | | | | | | | | | | | | | | | | | product(all_8_3, all_8_5) = v0 & $i(v0)) % 51.90/8.43 | | | | | | | | | | | | | | | | | | | % 51.90/8.43 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (1) with all_380_0, all_8_6, % 51.90/8.43 | | | | | | | | | | | | | | | | | | | all_8_5, all_380_0, all_8_5, simplifying with % 51.90/8.43 | | | | | | | | | | | | | | | | | | | (21), (22), (1426), (1798), (1801) gives: % 51.90/8.43 | | | | | | | | | | | | | | | | | | | (1827) ? [v0: $i] : (product(v0, all_380_0) = all_8_5 & % 51.90/8.43 | | | | | | | | | | | | | | | | | | | product(all_8_5, all_8_6) = v0 & $i(v0)) % 51.90/8.43 | | | | | | | | | | | | | | | | | | | % 51.90/8.43 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (1) with all_8_6, all_380_0, % 51.90/8.43 | | | | | | | | | | | | | | | | | | | all_8_3, all_8_6, all_8_3, simplifying with (21), % 51.90/8.43 | | | | | | | | | | | | | | | | | | | (23), (444), (1426), (1802) gives: % 51.90/8.43 | | | | | | | | | | | | | | | | | | | (1828) ? [v0: $i] : (product(v0, all_8_6) = all_8_3 & % 51.90/8.43 | | | | | | | | | | | | | | | | | | | product(all_8_3, all_380_0) = v0 & $i(v0)) % 51.90/8.43 | | | | | | | | | | | | | | | | | | | % 51.90/8.43 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with all_8_6, all_8_5, % 51.90/8.43 | | | | | | | | | | | | | | | | | | | all_380_0, all_380_0, all_8_6, simplifying with % 51.90/8.43 | | | | | | | | | | | | | | | | | | | (21), (22), (1426), (1799), (1802) gives: % 51.90/8.43 | | | | | | | | | | | | | | | | | | | (1829) ? [v0: $i] : (product(all_380_0, v0) = all_8_6 & % 51.90/8.43 | | | | | | | | | | | | | | | | | | | product(all_8_5, all_8_6) = v0 & $i(v0)) % 51.90/8.43 | | | | | | | | | | | | | | | | | | | % 51.90/8.43 | | | | | | | | | | | | | | | | | | | DELTA: instantiating (1829) with fresh symbol all_541_0 % 51.90/8.43 | | | | | | | | | | | | | | | | | | | gives: % 51.90/8.43 | | | | | | | | | | | | | | | | | | | (1830) product(all_380_0, all_541_0) = all_8_6 & % 51.90/8.43 | | | | | | | | | | | | | | | | | | | product(all_8_5, all_8_6) = all_541_0 & % 51.90/8.43 | | | | | | | | | | | | | | | | | | | $i(all_541_0) % 51.90/8.43 | | | | | | | | | | | | | | | | | | | % 51.90/8.43 | | | | | | | | | | | | | | | | | | | ALPHA: (1830) implies: % 51.90/8.43 | | | | | | | | | | | | | | | | | | | (1831) product(all_8_5, all_8_6) = all_541_0 % 51.90/8.43 | | | | | | | | | | | | | | | | | | | % 51.90/8.43 | | | | | | | | | | | | | | | | | | | DELTA: instantiating (1828) with fresh symbol all_543_0 % 51.90/8.43 | | | | | | | | | | | | | | | | | | | gives: % 51.90/8.43 | | | | | | | | | | | | | | | | | | | (1832) product(all_543_0, all_8_6) = all_8_3 & % 51.90/8.43 | | | | | | | | | | | | | | | | | | | product(all_8_3, all_380_0) = all_543_0 & % 51.90/8.43 | | | | | | | | | | | | | | | | | | | $i(all_543_0) % 51.90/8.44 | | | | | | | | | | | | | | | | | | | % 51.90/8.44 | | | | | | | | | | | | | | | | | | | ALPHA: (1832) implies: % 51.90/8.44 | | | | | | | | | | | | | | | | | | | (1833) product(all_8_3, all_380_0) = all_543_0 % 51.90/8.44 | | | | | | | | | | | | | | | | | | | % 51.90/8.44 | | | | | | | | | | | | | | | | | | | DELTA: instantiating (1827) with fresh symbol all_545_0 % 51.90/8.44 | | | | | | | | | | | | | | | | | | | gives: % 51.90/8.44 | | | | | | | | | | | | | | | | | | | (1834) product(all_545_0, all_380_0) = all_8_5 & % 51.90/8.44 | | | | | | | | | | | | | | | | | | | product(all_8_5, all_8_6) = all_545_0 & % 51.90/8.44 | | | | | | | | | | | | | | | | | | | $i(all_545_0) % 51.90/8.44 | | | | | | | | | | | | | | | | | | | % 51.90/8.44 | | | | | | | | | | | | | | | | | | | ALPHA: (1834) implies: % 51.90/8.44 | | | | | | | | | | | | | | | | | | | (1835) product(all_8_5, all_8_6) = all_545_0 % 51.90/8.44 | | | | | | | | | | | | | | | | | | | (1836) product(all_545_0, all_380_0) = all_8_5 % 51.90/8.44 | | | | | | | | | | | | | | | | | | | % 51.90/8.44 | | | | | | | | | | | | | | | | | | | DELTA: instantiating (1826) with fresh symbol all_555_0 % 51.90/8.44 | | | | | | | | | | | | | | | | | | | gives: % 51.90/8.44 | | | | | | | | | | | | | | | | | | | (1837) product(all_555_0, all_380_0) = all_8_3 & % 51.90/8.44 | | | | | | | | | | | | | | | | | | | product(all_8_3, all_8_5) = all_555_0 & % 51.90/8.44 | | | | | | | | | | | | | | | | | | | $i(all_555_0) % 51.90/8.44 | | | | | | | | | | | | | | | | | | | % 51.90/8.44 | | | | | | | | | | | | | | | | | | | ALPHA: (1837) implies: % 51.90/8.44 | | | | | | | | | | | | | | | | | | | (1838) product(all_8_3, all_8_5) = all_555_0 % 51.90/8.44 | | | | | | | | | | | | | | | | | | | (1839) product(all_555_0, all_380_0) = all_8_3 % 51.90/8.44 | | | | | | | | | | | | | | | | | | | % 51.90/8.44 | | | | | | | | | | | | | | | | | | | DELTA: instantiating (1825) with fresh symbol all_559_0 % 51.90/8.44 | | | | | | | | | | | | | | | | | | | gives: % 51.90/8.44 | | | | | | | | | | | | | | | | | | | (1840) product(all_8_3, all_380_0) = all_559_0 & % 51.90/8.44 | | | | | | | | | | | | | | | | | | | product(all_8_6, all_559_0) = all_380_0 & % 51.90/8.44 | | | | | | | | | | | | | | | | | | | $i(all_559_0) % 51.90/8.44 | | | | | | | | | | | | | | | | | | | % 51.90/8.44 | | | | | | | | | | | | | | | | | | | ALPHA: (1840) implies: % 51.90/8.44 | | | | | | | | | | | | | | | | | | | (1841) product(all_8_3, all_380_0) = all_559_0 % 51.90/8.44 | | | | | | | | | | | | | | | | | | | % 51.90/8.44 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (17) with all_8_3, all_545_0, % 51.90/8.44 | | | | | | | | | | | | | | | | | | | all_8_6, all_8_5, simplifying with (27), (1835) % 51.90/8.44 | | | | | | | | | | | | | | | | | | | gives: % 51.90/8.44 | | | | | | | | | | | | | | | | | | | (1842) all_545_0 = all_8_3 % 51.90/8.44 | | | | | | | | | | | | | | | | | | | % 51.90/8.44 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (17) with all_541_0, all_545_0, % 51.90/8.44 | | | | | | | | | | | | | | | | | | | all_8_6, all_8_5, simplifying with (1831), (1835) % 51.90/8.44 | | | | | | | | | | | | | | | | | | | gives: % 51.90/8.44 | | | | | | | | | | | | | | | | | | | (1843) all_545_0 = all_541_0 % 51.90/8.44 | | | | | | | | | | | | | | | | | | | % 51.90/8.44 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (17) with all_8_3, all_555_0, % 51.90/8.44 | | | | | | | | | | | | | | | | | | | all_8_5, all_8_3, simplifying with (1792), (1838) % 51.90/8.44 | | | | | | | | | | | | | | | | | | | gives: % 51.90/8.44 | | | | | | | | | | | | | | | | | | | (1844) all_555_0 = all_8_3 % 51.90/8.44 | | | | | | | | | | | | | | | | | | | % 51.90/8.44 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (17) with all_543_0, all_559_0, % 51.90/8.44 | | | | | | | | | | | | | | | | | | | all_380_0, all_8_3, simplifying with (1833), % 51.90/8.44 | | | | | | | | | | | | | | | | | | | (1841) gives: % 51.90/8.44 | | | | | | | | | | | | | | | | | | | (1845) all_559_0 = all_543_0 % 51.90/8.44 | | | | | | | | | | | | | | | | | | | % 51.90/8.44 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1842), (1843) imply: % 51.90/8.44 | | | | | | | | | | | | | | | | | | | (1846) all_541_0 = all_8_3 % 51.90/8.44 | | | | | | | | | | | | | | | | | | | % 51.90/8.44 | | | | | | | | | | | | | | | | | | | REDUCE: (1839), (1844) imply: % 51.90/8.44 | | | | | | | | | | | | | | | | | | | (1847) product(all_8_3, all_380_0) = all_8_3 % 51.90/8.44 | | | | | | | | | | | | | | | | | | | % 51.90/8.44 | | | | | | | | | | | | | | | | | | | REDUCE: (1836), (1842) imply: % 51.90/8.44 | | | | | | | | | | | | | | | | | | | (1848) product(all_8_3, all_380_0) = all_8_5 % 51.90/8.44 | | | | | | | | | | | | | | | | | | | % 51.90/8.44 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (17) with all_543_0, all_8_5, % 51.90/8.44 | | | | | | | | | | | | | | | | | | | all_380_0, all_8_3, simplifying with (1833), % 51.90/8.44 | | | | | | | | | | | | | | | | | | | (1848) gives: % 51.90/8.44 | | | | | | | | | | | | | | | | | | | (1849) all_543_0 = all_8_5 % 51.90/8.44 | | | | | | | | | | | | | | | | | | | % 51.90/8.44 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (17) with all_543_0, all_8_3, % 51.90/8.44 | | | | | | | | | | | | | | | | | | | all_380_0, all_8_3, simplifying with (1833), % 51.90/8.44 | | | | | | | | | | | | | | | | | | | (1847) gives: % 51.90/8.44 | | | | | | | | | | | | | | | | | | | (1850) all_543_0 = all_8_3 % 51.90/8.44 | | | | | | | | | | | | | | | | | | | % 51.90/8.44 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1849), (1850) imply: % 51.90/8.44 | | | | | | | | | | | | | | | | | | | (1851) all_8_3 = all_8_5 % 51.90/8.44 | | | | | | | | | | | | | | | | | | | % 51.90/8.44 | | | | | | | | | | | | | | | | | | | REDUCE: (1791), (1851) imply: % 51.90/8.44 | | | | | | | | | | | | | | | | | | | (1852) $false % 51.90/8.44 | | | | | | | | | | | | | | | | | | | % 51.90/8.44 | | | | | | | | | | | | | | | | | | | CLOSE: (1852) is inconsistent. % 51.90/8.44 | | | | | | | | | | | | | | | | | | | % 51.90/8.44 | | | | | | | | | | | | | | | | | | End of split % 51.90/8.44 | | | | | | | | | | | | | | | | | | % 51.90/8.44 | | | | | | | | | | | | | | | | | End of split % 51.90/8.44 | | | | | | | | | | | | | | | | | % 51.90/8.44 | | | | | | | | | | | | | | | | End of split % 51.90/8.44 | | | | | | | | | | | | | | | | % 51.90/8.44 | | | | | | | | | | | | | | | End of split % 51.90/8.44 | | | | | | | | | | | | | | | % 51.90/8.44 | | | | | | | | | | | | | | Case 2: % 51.90/8.44 | | | | | | | | | | | | | | | % 51.90/8.44 | | | | | | | | | | | | | | | (1853) all_337_0 = all_8_6 % 51.90/8.44 | | | | | | | | | | | | | | | (1854) ~ (all_337_1 = all_8_3) % 51.90/8.44 | | | | | | | | | | | | | | | % 51.90/8.44 | | | | | | | | | | | | | | | COMBINE_EQS: (1383), (1853) imply: % 51.90/8.44 | | | | | | | | | | | | | | | (1855) all_8_3 = all_8_6 % 51.90/8.44 | | | | | | | | | | | | | | | % 51.90/8.44 | | | | | | | | | | | | | | | REDUCE: (1382), (1854), (1855) imply: % 51.90/8.44 | | | | | | | | | | | | | | | (1856) $false % 51.90/8.44 | | | | | | | | | | | | | | | % 51.90/8.44 | | | | | | | | | | | | | | | CLOSE: (1856) is inconsistent. % 51.90/8.44 | | | | | | | | | | | | | | | % 51.90/8.44 | | | | | | | | | | | | | | End of split % 51.90/8.44 | | | | | | | | | | | | | | % 51.90/8.44 | | | | | | | | | | | | | End of split % 51.90/8.44 | | | | | | | | | | | | | % 51.90/8.44 | | | | | | | | | | | | Case 2: % 51.90/8.44 | | | | | | | | | | | | | % 51.90/8.44 | | | | | | | | | | | | | (1857) all_35_0 = all_8_6 & all_8_2 = all_8_3 % 51.90/8.44 | | | | | | | | | | | | | % 51.90/8.44 | | | | | | | | | | | | | ALPHA: (1857) implies: % 51.90/8.44 | | | | | | | | | | | | | (1858) all_8_2 = all_8_3 % 51.90/8.44 | | | | | | | | | | | | | % 51.90/8.44 | | | | | | | | | | | | | COMBINE_EQS: (1367), (1858) imply: % 51.90/8.44 | | | | | | | | | | | | | (1859) all_8_3 = all_8_6 % 51.90/8.44 | | | | | | | | | | | | | % 51.90/8.44 | | | | | | | | | | | | | SIMP: (1859) implies: % 51.90/8.44 | | | | | | | | | | | | | (1860) all_8_3 = all_8_6 % 51.90/8.44 | | | | | | | | | | | | | % 51.90/8.44 | | | | | | | | | | | | | REDUCE: (227), (1860) imply: % 51.90/8.44 | | | | | | | | | | | | | (1861) l(all_8_6, all_8_5) = all_88_1 % 51.90/8.44 | | | | | | | | | | | | | % 51.90/8.44 | | | | | | | | | | | | | REDUCE: (202), (1860) imply: % 51.90/8.44 | | | | | | | | | | | | | (1862) l(all_8_5, all_8_6) = all_70_1 % 51.90/8.44 | | | | | | | | | | | | | % 51.90/8.44 | | | | | | | | | | | | | REDUCE: (601), (1860) imply: % 51.90/8.44 | | | | | | | | | | | | | (1863) product(all_8_6, all_8_1) = all_8_0 % 51.90/8.44 | | | | | | | | | | | | | % 51.90/8.44 | | | | | | | | | | | | | REDUCE: (158), (1860) imply: % 51.90/8.44 | | | | | | | | | | | | | (1864) product(all_8_6, all_8_5) = all_8_0 % 51.90/8.44 | | | | | | | | | | | | | % 51.90/8.44 | | | | | | | | | | | | | REDUCE: (27), (1860) imply: % 51.90/8.44 | | | | | | | | | | | | | (1865) product(all_8_5, all_8_6) = all_8_6 % 51.90/8.44 | | | | | | | | | | | | | % 51.90/8.44 | | | | | | | | | | | | | BETA: splitting (182) gives: % 51.90/8.44 | | | | | | | | | | | | | % 51.90/8.44 | | | | | | | | | | | | | Case 1: % 51.90/8.44 | | | | | | | | | | | | | | % 51.90/8.44 | | | | | | | | | | | | | | (1866) all_23_1 = 0 % 51.90/8.44 | | | | | | | | | | | | | | % 51.90/8.44 | | | | | | | | | | | | | | REDUCE: (697), (1866) imply: % 51.90/8.44 | | | | | | | | | | | | | | (1867) $false % 51.90/8.44 | | | | | | | | | | | | | | % 51.90/8.44 | | | | | | | | | | | | | | CLOSE: (1867) is inconsistent. % 51.90/8.44 | | | | | | | | | | | | | | % 51.90/8.44 | | | | | | | | | | | | | Case 2: % 51.90/8.44 | | | | | | | | | | | | | | % 51.90/8.44 | | | | | | | | | | | | | | (1868) ? [v0: $i] : ? [v1: $i] : (product(all_8_5, % 51.90/8.44 | | | | | | | | | | | | | | all_8_6) = v1 & product(all_8_6, all_8_5) = v0 % 51.90/8.44 | | | | | | | | | | | | | | & $i(v1) & $i(v0) & ( ~ (v1 = all_8_6) | ~ (v0 % 51.90/8.44 | | | | | | | | | | | | | | = all_8_5))) % 51.90/8.44 | | | | | | | | | | | | | | % 51.90/8.44 | | | | | | | | | | | | | | DELTA: instantiating (1868) with fresh symbols all_337_0, % 51.90/8.44 | | | | | | | | | | | | | | all_337_1 gives: % 51.90/8.44 | | | | | | | | | | | | | | (1869) product(all_8_5, all_8_6) = all_337_0 & % 51.90/8.44 | | | | | | | | | | | | | | product(all_8_6, all_8_5) = all_337_1 & % 51.90/8.44 | | | | | | | | | | | | | | $i(all_337_0) & $i(all_337_1) & ( ~ (all_337_0 = % 51.90/8.44 | | | | | | | | | | | | | | all_8_6) | ~ (all_337_1 = all_8_5)) % 51.90/8.44 | | | | | | | | | | | | | | % 51.90/8.44 | | | | | | | | | | | | | | ALPHA: (1869) implies: % 51.90/8.44 | | | | | | | | | | | | | | (1870) product(all_8_6, all_8_5) = all_337_1 % 51.90/8.44 | | | | | | | | | | | | | | (1871) product(all_8_5, all_8_6) = all_337_0 % 51.90/8.44 | | | | | | | | | | | | | | % 51.90/8.44 | | | | | | | | | | | | | | BETA: splitting (184) gives: % 51.90/8.44 | | | | | | | | | | | | | | % 51.90/8.44 | | | | | | | | | | | | | | Case 1: % 51.90/8.44 | | | | | | | | | | | | | | | % 51.90/8.44 | | | | | | | | | | | | | | | (1872) all_33_1 = 0 % 51.90/8.44 | | | | | | | | | | | | | | | % 51.90/8.45 | | | | | | | | | | | | | | | REDUCE: (1372), (1872) imply: % 51.90/8.45 | | | | | | | | | | | | | | | (1873) $false % 51.90/8.45 | | | | | | | | | | | | | | | % 51.90/8.45 | | | | | | | | | | | | | | | CLOSE: (1873) is inconsistent. % 51.90/8.45 | | | | | | | | | | | | | | | % 51.90/8.45 | | | | | | | | | | | | | | Case 2: % 51.90/8.45 | | | | | | | | | | | | | | | % 51.90/8.45 | | | | | | | | | | | | | | | (1874) ? [v0: $i] : ? [v1: $i] : (product(all_8_5, % 51.90/8.45 | | | | | | | | | | | | | | | all_8_6) = v0 & product(all_8_6, all_8_5) = v1 % 51.90/8.45 | | | | | | | | | | | | | | | & $i(v1) & $i(v0) & ( ~ (v1 = all_8_5) | ~ (v0 % 51.90/8.45 | | | | | | | | | | | | | | | = all_8_6))) % 51.90/8.45 | | | | | | | | | | | | | | | % 51.90/8.45 | | | | | | | | | | | | | | | DELTA: instantiating (1874) with fresh symbols all_347_0, % 51.90/8.45 | | | | | | | | | | | | | | | all_347_1 gives: % 51.90/8.45 | | | | | | | | | | | | | | | (1875) product(all_8_5, all_8_6) = all_347_1 & % 51.90/8.45 | | | | | | | | | | | | | | | product(all_8_6, all_8_5) = all_347_0 & % 51.90/8.45 | | | | | | | | | | | | | | | $i(all_347_0) & $i(all_347_1) & ( ~ (all_347_0 = % 51.90/8.45 | | | | | | | | | | | | | | | all_8_5) | ~ (all_347_1 = all_8_6)) % 51.90/8.45 | | | | | | | | | | | | | | | % 51.90/8.45 | | | | | | | | | | | | | | | ALPHA: (1875) implies: % 51.90/8.45 | | | | | | | | | | | | | | | (1876) product(all_8_6, all_8_5) = all_347_0 % 51.90/8.45 | | | | | | | | | | | | | | | (1877) product(all_8_5, all_8_6) = all_347_1 % 51.90/8.45 | | | | | | | | | | | | | | | % 51.90/8.45 | | | | | | | | | | | | | | | GROUND_INST: instantiating (17) with all_8_1, all_337_1, % 51.90/8.45 | | | | | | | | | | | | | | | all_8_5, all_8_6, simplifying with (25), (1870) % 51.90/8.45 | | | | | | | | | | | | | | | gives: % 51.90/8.45 | | | | | | | | | | | | | | | (1878) all_337_1 = all_8_1 % 51.90/8.45 | | | | | | | | | | | | | | | % 51.90/8.45 | | | | | | | | | | | | | | | GROUND_INST: instantiating (17) with all_337_1, all_347_0, % 51.90/8.45 | | | | | | | | | | | | | | | all_8_5, all_8_6, simplifying with (1870), (1876) % 51.90/8.45 | | | | | | | | | | | | | | | gives: % 51.90/8.45 | | | | | | | | | | | | | | | (1879) all_347_0 = all_337_1 % 51.90/8.45 | | | | | | | | | | | | | | | % 51.90/8.45 | | | | | | | | | | | | | | | GROUND_INST: instantiating (17) with all_8_0, all_347_0, % 51.90/8.45 | | | | | | | | | | | | | | | all_8_5, all_8_6, simplifying with (1864), (1876) % 51.90/8.45 | | | | | | | | | | | | | | | gives: % 51.90/8.45 | | | | | | | | | | | | | | | (1880) all_347_0 = all_8_0 % 51.90/8.45 | | | | | | | | | | | | | | | % 51.90/8.45 | | | | | | | | | | | | | | | GROUND_INST: instantiating (17) with all_337_0, all_347_1, % 51.90/8.45 | | | | | | | | | | | | | | | all_8_6, all_8_5, simplifying with (1871), (1877) % 51.90/8.45 | | | | | | | | | | | | | | | gives: % 51.90/8.45 | | | | | | | | | | | | | | | (1881) all_347_1 = all_337_0 % 51.90/8.45 | | | | | | | | | | | | | | | % 51.90/8.45 | | | | | | | | | | | | | | | GROUND_INST: instantiating (17) with all_8_6, all_347_1, % 51.90/8.45 | | | | | | | | | | | | | | | all_8_6, all_8_5, simplifying with (1865), (1877) % 51.90/8.45 | | | | | | | | | | | | | | | gives: % 51.90/8.45 | | | | | | | | | | | | | | | (1882) all_347_1 = all_8_6 % 51.90/8.45 | | | | | | | | | | | | | | | % 51.90/8.45 | | | | | | | | | | | | | | | GROUND_INST: instantiating (18) with all_21_1, all_88_1, % 51.90/8.45 | | | | | | | | | | | | | | | all_8_5, all_8_6, simplifying with (63), (1861) % 51.90/8.45 | | | | | | | | | | | | | | | gives: % 51.90/8.45 | | | | | | | | | | | | | | | (1883) all_88_1 = all_21_1 % 51.90/8.45 | | | | | | | | | | | | | | | % 51.90/8.45 | | | | | | | | | | | | | | | GROUND_INST: instantiating (18) with all_31_1, all_70_1, % 51.90/8.45 | | | | | | | | | | | | | | | all_8_6, all_8_5, simplifying with (81), (1862) % 51.90/8.45 | | | | | | | | | | | | | | | gives: % 51.90/8.45 | | | | | | | | | | | | | | | (1884) all_70_1 = all_31_1 % 51.90/8.45 | | | | | | | | | | | | | | | % 51.90/8.45 | | | | | | | | | | | | | | | COMBINE_EQS: (1879), (1880) imply: % 51.90/8.45 | | | | | | | | | | | | | | | (1885) all_337_1 = all_8_0 % 51.90/8.45 | | | | | | | | | | | | | | | % 51.90/8.45 | | | | | | | | | | | | | | | SIMP: (1885) implies: % 51.90/8.45 | | | | | | | | | | | | | | | (1886) all_337_1 = all_8_0 % 51.90/8.45 | | | | | | | | | | | | | | | % 51.90/8.45 | | | | | | | | | | | | | | | COMBINE_EQS: (1881), (1882) imply: % 51.90/8.45 | | | | | | | | | | | | | | | (1887) all_337_0 = all_8_6 % 51.90/8.45 | | | | | | | | | | | | | | | % 51.90/8.45 | | | | | | | | | | | | | | | COMBINE_EQS: (1878), (1886) imply: % 51.90/8.45 | | | | | | | | | | | | | | | (1888) all_8_0 = all_8_1 % 51.90/8.45 | | | | | | | | | | | | | | | % 51.90/8.45 | | | | | | | | | | | | | | | REDUCE: (690), (1888) imply: % 51.90/8.45 | | | | | | | | | | | | | | | (1889) ~ (all_8_1 = all_8_5) % 51.90/8.45 | | | | | | | | | | | | | | | % 51.90/8.45 | | | | | | | | | | | | | | | BETA: splitting (177) gives: % 51.90/8.45 | | | | | | | | | | | | | | | % 51.90/8.45 | | | | | | | | | | | | | | | Case 1: % 51.90/8.45 | | | | | | | | | | | | | | | | % 51.90/8.45 | | | | | | | | | | | | | | | | (1890) all_21_1 = 0 % 51.90/8.45 | | | | | | | | | | | | | | | | % 51.90/8.45 | | | | | | | | | | | | | | | | REDUCE: (696), (1890) imply: % 51.90/8.45 | | | | | | | | | | | | | | | | (1891) $false % 51.90/8.45 | | | | | | | | | | | | | | | | % 51.90/8.45 | | | | | | | | | | | | | | | | CLOSE: (1891) is inconsistent. % 51.90/8.45 | | | | | | | | | | | | | | | | % 51.90/8.45 | | | | | | | | | | | | | | | Case 2: % 51.90/8.45 | | | | | | | | | | | | | | | | % 51.90/8.45 | | | | | | | | | | | | | | | | (1892) ? [v0: $i] : ? [v1: $i] : (product(all_8_5, % 51.90/8.45 | | | | | | | | | | | | | | | | all_8_6) = v1 & product(all_8_6, all_8_5) = v0 % 51.90/8.45 | | | | | | | | | | | | | | | | & $i(v1) & $i(v0) & ( ~ (v1 = all_8_5) | ~ (v0 % 51.90/8.45 | | | | | | | | | | | | | | | | = all_8_6))) % 51.90/8.45 | | | | | | | | | | | | | | | | % 51.90/8.45 | | | | | | | | | | | | | | | | DELTA: instantiating (1892) with fresh symbols all_359_0, % 51.90/8.45 | | | | | | | | | | | | | | | | all_359_1 gives: % 51.90/8.45 | | | | | | | | | | | | | | | | (1893) product(all_8_5, all_8_6) = all_359_0 & % 51.90/8.45 | | | | | | | | | | | | | | | | product(all_8_6, all_8_5) = all_359_1 & % 51.90/8.45 | | | | | | | | | | | | | | | | $i(all_359_0) & $i(all_359_1) & ( ~ (all_359_0 = % 51.90/8.45 | | | | | | | | | | | | | | | | all_8_5) | ~ (all_359_1 = all_8_6)) % 51.90/8.45 | | | | | | | | | | | | | | | | % 51.90/8.45 | | | | | | | | | | | | | | | | ALPHA: (1893) implies: % 51.90/8.45 | | | | | | | | | | | | | | | | (1894) product(all_8_6, all_8_5) = all_359_1 % 51.90/8.45 | | | | | | | | | | | | | | | | (1895) product(all_8_5, all_8_6) = all_359_0 % 51.90/8.45 | | | | | | | | | | | | | | | | % 51.90/8.45 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (17) with all_8_1, all_359_1, % 51.90/8.45 | | | | | | | | | | | | | | | | all_8_5, all_8_6, simplifying with (25), (1894) % 51.90/8.45 | | | | | | | | | | | | | | | | gives: % 51.90/8.45 | | | | | | | | | | | | | | | | (1896) all_359_1 = all_8_1 % 51.90/8.45 | | | | | | | | | | | | | | | | % 51.90/8.45 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (17) with all_8_6, all_359_0, % 51.90/8.45 | | | | | | | | | | | | | | | | all_8_6, all_8_5, simplifying with (1865), (1895) % 51.90/8.45 | | | | | | | | | | | | | | | | gives: % 51.90/8.45 | | | | | | | | | | | | | | | | (1897) all_359_0 = all_8_6 % 51.90/8.45 | | | | | | | | | | | | | | | | % 51.90/8.45 | | | | | | | | | | | | | | | | BETA: splitting (179) gives: % 51.90/8.45 | | | | | | | | | | | | | | | | % 51.90/8.45 | | | | | | | | | | | | | | | | Case 1: % 51.90/8.45 | | | | | | | | | | | | | | | | | % 51.90/8.45 | | | | | | | | | | | | | | | | | (1898) all_31_1 = 0 % 51.90/8.45 | | | | | | | | | | | | | | | | | % 51.90/8.45 | | | | | | | | | | | | | | | | | REDUCE: (1371), (1898) imply: % 51.90/8.45 | | | | | | | | | | | | | | | | | (1899) $false % 51.90/8.45 | | | | | | | | | | | | | | | | | % 51.90/8.45 | | | | | | | | | | | | | | | | | CLOSE: (1899) is inconsistent. % 51.90/8.45 | | | | | | | | | | | | | | | | | % 51.90/8.45 | | | | | | | | | | | | | | | | Case 2: % 51.90/8.45 | | | | | | | | | | | | | | | | | % 51.90/8.45 | | | | | | | | | | | | | | | | | (1900) ? [v0: $i] : ? [v1: $i] : (product(all_8_5, % 51.90/8.45 | | | | | | | | | | | | | | | | | all_8_6) = v0 & product(all_8_6, all_8_5) = v1 % 51.90/8.45 | | | | | | | | | | | | | | | | | & $i(v1) & $i(v0) & ( ~ (v1 = all_8_6) | ~ (v0 % 51.90/8.45 | | | | | | | | | | | | | | | | | = all_8_5))) % 51.90/8.45 | | | | | | | | | | | | | | | | | % 51.90/8.45 | | | | | | | | | | | | | | | | | DELTA: instantiating (1900) with fresh symbols all_371_0, % 51.90/8.45 | | | | | | | | | | | | | | | | | all_371_1 gives: % 51.90/8.45 | | | | | | | | | | | | | | | | | (1901) product(all_8_5, all_8_6) = all_371_1 & % 51.90/8.45 | | | | | | | | | | | | | | | | | product(all_8_6, all_8_5) = all_371_0 & % 51.90/8.45 | | | | | | | | | | | | | | | | | $i(all_371_0) & $i(all_371_1) & ( ~ (all_371_0 = % 51.90/8.45 | | | | | | | | | | | | | | | | | all_8_6) | ~ (all_371_1 = all_8_5)) % 51.90/8.45 | | | | | | | | | | | | | | | | | % 51.90/8.45 | | | | | | | | | | | | | | | | | ALPHA: (1901) implies: % 51.90/8.45 | | | | | | | | | | | | | | | | | (1902) $i(all_371_1) % 51.90/8.45 | | | | | | | | | | | | | | | | | (1903) $i(all_371_0) % 51.90/8.45 | | | | | | | | | | | | | | | | | (1904) product(all_8_6, all_8_5) = all_371_0 % 51.90/8.45 | | | | | | | | | | | | | | | | | (1905) product(all_8_5, all_8_6) = all_371_1 % 51.90/8.45 | | | | | | | | | | | | | | | | | % 51.90/8.45 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (17) with all_8_1, all_371_0, % 51.90/8.45 | | | | | | | | | | | | | | | | | all_8_5, all_8_6, simplifying with (25), (1904) % 51.90/8.45 | | | | | | | | | | | | | | | | | gives: % 51.90/8.45 | | | | | | | | | | | | | | | | | (1906) all_371_0 = all_8_1 % 51.90/8.45 | | | | | | | | | | | | | | | | | % 51.90/8.45 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (17) with all_8_6, all_371_1, % 51.90/8.45 | | | | | | | | | | | | | | | | | all_8_6, all_8_5, simplifying with (1865), (1905) % 51.90/8.45 | | | | | | | | | | | | | | | | | gives: % 51.90/8.45 | | | | | | | | | | | | | | | | | (1907) all_371_1 = all_8_6 % 51.90/8.45 | | | | | | | | | | | | | | | | | % 51.90/8.45 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with all_8_1, all_8_6, all_8_1, % 51.90/8.45 | | | | | | | | | | | | | | | | | all_8_6, all_8_1, simplifying with (21), (24), % 51.90/8.45 | | | | | | | | | | | | | | | | | (449), (1369) gives: % 51.90/8.45 | | | | | | | | | | | | | | | | | (1908) ? [v0: $i] : (product(all_8_1, v0) = all_8_1 & % 51.90/8.45 | | | | | | | | | | | | | | | | | product(all_8_6, all_8_1) = v0 & $i(v0)) % 51.90/8.45 | | | | | | | | | | | | | | | | | % 51.90/8.45 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (1) with all_8_6, all_8_1, all_8_1, % 51.90/8.45 | | | | | | | | | | | | | | | | | all_8_6, all_8_6, simplifying with (21), (24), % 51.90/8.45 | | | | | | | | | | | | | | | | | (1369) gives: % 51.90/8.45 | | | | | | | | | | | | | | | | | (1909) ? [v0: $i] : (product(v0, all_8_6) = all_8_6 & % 51.90/8.45 | | | | | | | | | | | | | | | | | product(all_8_1, all_8_1) = v0 & $i(v0)) % 51.90/8.45 | | | | | | | | | | | | | | | | | % 51.90/8.45 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (15) with all_8_6, all_8_5, % 51.90/8.45 | | | | | | | | | | | | | | | | | simplifying with (21), (22), (680) gives: % 51.90/8.45 | | | | | | | | | | | | | | | | | (1910) ? [v0: $i] : (r(all_8_6, v0) = 0 & l(v0, all_8_5) % 51.90/8.45 | | | | | | | | | | | | | | | | | = 0 & $i(v0)) % 51.90/8.45 | | | | | | | | | | | | | | | | | % 51.90/8.45 | | | | | | | | | | | | | | | | | DELTA: instantiating (1910) with fresh symbol all_382_0 % 51.90/8.45 | | | | | | | | | | | | | | | | | gives: % 51.90/8.45 | | | | | | | | | | | | | | | | | (1911) r(all_8_6, all_382_0) = 0 & l(all_382_0, all_8_5) % 51.90/8.45 | | | | | | | | | | | | | | | | | = 0 & $i(all_382_0) % 51.90/8.45 | | | | | | | | | | | | | | | | | % 51.90/8.45 | | | | | | | | | | | | | | | | | ALPHA: (1911) implies: % 51.90/8.45 | | | | | | | | | | | | | | | | | (1912) $i(all_382_0) % 51.90/8.45 | | | | | | | | | | | | | | | | | (1913) l(all_382_0, all_8_5) = 0 % 51.90/8.45 | | | | | | | | | | | | | | | | | (1914) r(all_8_6, all_382_0) = 0 % 51.90/8.45 | | | | | | | | | | | | | | | | | % 51.90/8.45 | | | | | | | | | | | | | | | | | DELTA: instantiating (1909) with fresh symbol all_384_0 % 51.90/8.45 | | | | | | | | | | | | | | | | | gives: % 51.90/8.45 | | | | | | | | | | | | | | | | | (1915) product(all_384_0, all_8_6) = all_8_6 & % 51.90/8.45 | | | | | | | | | | | | | | | | | product(all_8_1, all_8_1) = all_384_0 & % 51.90/8.45 | | | | | | | | | | | | | | | | | $i(all_384_0) % 51.90/8.45 | | | | | | | | | | | | | | | | | % 51.90/8.45 | | | | | | | | | | | | | | | | | ALPHA: (1915) implies: % 51.90/8.45 | | | | | | | | | | | | | | | | | (1916) $i(all_384_0) % 51.90/8.45 | | | | | | | | | | | | | | | | | (1917) product(all_8_1, all_8_1) = all_384_0 % 51.90/8.45 | | | | | | | | | | | | | | | | | (1918) product(all_384_0, all_8_6) = all_8_6 % 51.90/8.45 | | | | | | | | | | | | | | | | | % 51.90/8.45 | | | | | | | | | | | | | | | | | DELTA: instantiating (1908) with fresh symbol all_386_0 % 51.90/8.45 | | | | | | | | | | | | | | | | | gives: % 51.90/8.45 | | | | | | | | | | | | | | | | | (1919) product(all_8_1, all_386_0) = all_8_1 & % 51.90/8.45 | | | | | | | | | | | | | | | | | product(all_8_6, all_8_1) = all_386_0 & % 51.90/8.45 | | | | | | | | | | | | | | | | | $i(all_386_0) % 51.90/8.45 | | | | | | | | | | | | | | | | | % 51.90/8.45 | | | | | | | | | | | | | | | | | ALPHA: (1919) implies: % 51.90/8.45 | | | | | | | | | | | | | | | | | (1920) product(all_8_6, all_8_1) = all_386_0 % 51.90/8.45 | | | | | | | | | | | | | | | | | (1921) product(all_8_1, all_386_0) = all_8_1 % 51.90/8.45 | | | | | | | | | | | | | | | | | % 51.90/8.45 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (17) with all_8_1, all_386_0, % 51.90/8.45 | | | | | | | | | | | | | | | | | all_8_1, all_8_6, simplifying with (449), (1920) % 51.90/8.45 | | | | | | | | | | | | | | | | | gives: % 51.90/8.45 | | | | | | | | | | | | | | | | | (1922) all_386_0 = all_8_1 % 51.90/8.45 | | | | | | | | | | | | | | | | | % 51.90/8.45 | | | | | | | | | | | | | | | | | REDUCE: (1921), (1922) imply: % 51.90/8.45 | | | | | | | | | | | | | | | | | (1923) product(all_8_1, all_8_1) = all_8_1 % 51.90/8.45 | | | | | | | | | | | | | | | | | % 51.90/8.45 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (17) with all_384_0, all_8_1, % 51.90/8.45 | | | | | | | | | | | | | | | | | all_8_1, all_8_1, simplifying with (1917), (1923) % 51.90/8.45 | | | | | | | | | | | | | | | | | gives: % 51.90/8.45 | | | | | | | | | | | | | | | | | (1924) all_384_0 = all_8_1 % 51.90/8.45 | | | | | | | | | | | | | | | | | % 51.90/8.45 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_8_1, all_8_1, % 51.90/8.45 | | | | | | | | | | | | | | | | | simplifying with (24), (1923) gives: % 51.90/8.45 | | | | | | | | | | | | | | | | | (1925) ? [v0: $i] : ? [v1: any] : (l(all_8_1, all_8_1) % 51.90/8.45 | | | | | | | | | | | | | | | | | = v1 & product(all_8_1, all_8_1) = v0 & $i(v0) & % 51.90/8.45 | | | | | | | | | | | | | | | | | ( ~ (v0 = all_8_1) | v1 = 0)) % 51.90/8.45 | | | | | | | | | | | | | | | | | % 51.90/8.45 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (10) with all_8_1, all_8_1, % 51.90/8.45 | | | | | | | | | | | | | | | | | simplifying with (24), (1923) gives: % 51.90/8.45 | | | | | | | | | | | | | | | | | (1926) ? [v0: $i] : ? [v1: any] : (r(all_8_1, all_8_1) % 51.90/8.45 | | | | | | | | | | | | | | | | | = v1 & product(all_8_1, all_8_1) = v0 & $i(v0) & % 51.90/8.45 | | | | | | | | | | | | | | | | | ( ~ (v0 = all_8_1) | v1 = 0)) % 51.90/8.45 | | | | | | | | | | | | | | | | | % 51.90/8.45 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (13) with all_8_1, all_8_1, all_8_1, % 51.90/8.45 | | | | | | | | | | | | | | | | | simplifying with (24), (1923) gives: % 51.90/8.45 | | | | | | | | | | | | | | | | | (1927) ? [v0: any] : ? [v1: $i] : (r(all_8_1, all_8_1) % 51.90/8.45 | | | | | | | | | | | | | | | | | = v0 & product(all_8_1, all_8_1) = v1 & $i(v1) & % 51.90/8.45 | | | | | | | | | | | | | | | | | ( ~ (v0 = 0) | v1 = all_8_1)) % 51.90/8.45 | | | | | | | | | | | | | | | | | % 51.90/8.45 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (7) with all_8_1, all_8_1, all_8_1, % 51.90/8.45 | | | | | | | | | | | | | | | | | simplifying with (24), (1923) gives: % 51.90/8.45 | | | | | | | | | | | | | | | | | (1928) ? [v0: any] : ? [v1: $i] : (l(all_8_1, all_8_1) % 51.90/8.45 | | | | | | | | | | | | | | | | | = v0 & product(all_8_1, all_8_1) = v1 & $i(v1) & % 51.90/8.45 | | | | | | | | | | | | | | | | | ( ~ (v0 = 0) | v1 = all_8_1)) % 51.90/8.45 | | | | | | | | | | | | | | | | | % 51.90/8.45 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (5) with all_382_0, all_8_5, % 51.90/8.45 | | | | | | | | | | | | | | | | | simplifying with (22), (1912), (1913) gives: % 51.90/8.45 | | | | | | | | | | | | | | | | | (1929) product(all_382_0, all_8_5) = all_382_0 & % 51.90/8.45 | | | | | | | | | | | | | | | | | product(all_8_5, all_382_0) = all_8_5 % 51.90/8.45 | | | | | | | | | | | | | | | | | % 51.90/8.45 | | | | | | | | | | | | | | | | | ALPHA: (1929) implies: % 51.90/8.45 | | | | | | | | | | | | | | | | | (1930) product(all_8_5, all_382_0) = all_8_5 % 51.90/8.45 | | | | | | | | | | | | | | | | | (1931) product(all_382_0, all_8_5) = all_382_0 % 51.90/8.45 | | | | | | | | | | | | | | | | | % 51.90/8.46 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (11) with all_8_6, all_382_0, % 51.90/8.46 | | | | | | | | | | | | | | | | | simplifying with (21), (1912), (1914) gives: % 51.90/8.46 | | | | | | | | | | | | | | | | | (1932) product(all_382_0, all_8_6) = all_8_6 & % 51.90/8.46 | | | | | | | | | | | | | | | | | product(all_8_6, all_382_0) = all_382_0 % 51.90/8.46 | | | | | | | | | | | | | | | | | % 51.90/8.46 | | | | | | | | | | | | | | | | | ALPHA: (1932) implies: % 51.90/8.46 | | | | | | | | | | | | | | | | | (1933) product(all_8_6, all_382_0) = all_382_0 % 51.90/8.46 | | | | | | | | | | | | | | | | | (1934) product(all_382_0, all_8_6) = all_8_6 % 51.90/8.46 | | | | | | | | | | | | | | | | | % 51.90/8.46 | | | | | | | | | | | | | | | | | DELTA: instantiating (1928) with fresh symbols all_430_0, % 51.90/8.46 | | | | | | | | | | | | | | | | | all_430_1 gives: % 51.90/8.46 | | | | | | | | | | | | | | | | | (1935) l(all_8_1, all_8_1) = all_430_1 & product(all_8_1, % 51.90/8.46 | | | | | | | | | | | | | | | | | all_8_1) = all_430_0 & $i(all_430_0) & ( ~ % 51.90/8.46 | | | | | | | | | | | | | | | | | (all_430_1 = 0) | all_430_0 = all_8_1) % 51.90/8.46 | | | | | | | | | | | | | | | | | % 51.90/8.46 | | | | | | | | | | | | | | | | | ALPHA: (1935) implies: % 51.90/8.46 | | | | | | | | | | | | | | | | | (1936) $i(all_430_0) % 51.90/8.46 | | | | | | | | | | | | | | | | | (1937) product(all_8_1, all_8_1) = all_430_0 % 51.90/8.46 | | | | | | | | | | | | | | | | | % 51.90/8.46 | | | | | | | | | | | | | | | | | DELTA: instantiating (1927) with fresh symbols all_432_0, % 51.90/8.46 | | | | | | | | | | | | | | | | | all_432_1 gives: % 51.90/8.46 | | | | | | | | | | | | | | | | | (1938) r(all_8_1, all_8_1) = all_432_1 & product(all_8_1, % 51.90/8.46 | | | | | | | | | | | | | | | | | all_8_1) = all_432_0 & $i(all_432_0) & ( ~ % 51.90/8.46 | | | | | | | | | | | | | | | | | (all_432_1 = 0) | all_432_0 = all_8_1) % 51.90/8.46 | | | | | | | | | | | | | | | | | % 51.90/8.46 | | | | | | | | | | | | | | | | | ALPHA: (1938) implies: % 51.90/8.46 | | | | | | | | | | | | | | | | | (1939) product(all_8_1, all_8_1) = all_432_0 % 51.90/8.46 | | | | | | | | | | | | | | | | | % 51.90/8.46 | | | | | | | | | | | | | | | | | DELTA: instantiating (1926) with fresh symbols all_434_0, % 51.90/8.46 | | | | | | | | | | | | | | | | | all_434_1 gives: % 51.90/8.46 | | | | | | | | | | | | | | | | | (1940) r(all_8_1, all_8_1) = all_434_0 & product(all_8_1, % 51.90/8.46 | | | | | | | | | | | | | | | | | all_8_1) = all_434_1 & $i(all_434_1) & ( ~ % 51.90/8.46 | | | | | | | | | | | | | | | | | (all_434_1 = all_8_1) | all_434_0 = 0) % 51.90/8.46 | | | | | | | | | | | | | | | | | % 51.90/8.46 | | | | | | | | | | | | | | | | | ALPHA: (1940) implies: % 51.90/8.46 | | | | | | | | | | | | | | | | | (1941) product(all_8_1, all_8_1) = all_434_1 % 51.90/8.46 | | | | | | | | | | | | | | | | | % 51.90/8.46 | | | | | | | | | | | | | | | | | DELTA: instantiating (1925) with fresh symbols all_436_0, % 51.90/8.46 | | | | | | | | | | | | | | | | | all_436_1 gives: % 51.90/8.46 | | | | | | | | | | | | | | | | | (1942) l(all_8_1, all_8_1) = all_436_0 & product(all_8_1, % 51.90/8.46 | | | | | | | | | | | | | | | | | all_8_1) = all_436_1 & $i(all_436_1) & ( ~ % 51.90/8.46 | | | | | | | | | | | | | | | | | (all_436_1 = all_8_1) | all_436_0 = 0) % 51.90/8.46 | | | | | | | | | | | | | | | | | % 51.90/8.46 | | | | | | | | | | | | | | | | | ALPHA: (1942) implies: % 51.90/8.46 | | | | | | | | | | | | | | | | | (1943) product(all_8_1, all_8_1) = all_436_1 % 51.90/8.46 | | | | | | | | | | | | | | | | | (1944) ~ (all_436_1 = all_8_1) | all_436_0 = 0 % 51.90/8.46 | | | | | | | | | | | | | | | | | % 51.90/8.46 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (17) with all_430_0, all_432_0, % 51.90/8.46 | | | | | | | | | | | | | | | | | all_8_1, all_8_1, simplifying with (1937), (1939) % 51.90/8.46 | | | | | | | | | | | | | | | | | gives: % 51.90/8.46 | | | | | | | | | | | | | | | | | (1945) all_432_0 = all_430_0 % 51.90/8.46 | | | | | | | | | | | | | | | | | % 51.90/8.46 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (17) with all_432_0, all_434_1, % 51.90/8.46 | | | | | | | | | | | | | | | | | all_8_1, all_8_1, simplifying with (1939), (1941) % 51.90/8.46 | | | | | | | | | | | | | | | | | gives: % 51.90/8.46 | | | | | | | | | | | | | | | | | (1946) all_434_1 = all_432_0 % 51.90/8.46 | | | | | | | | | | | | | | | | | % 51.90/8.46 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (17) with all_8_1, all_436_1, % 51.90/8.46 | | | | | | | | | | | | | | | | | all_8_1, all_8_1, simplifying with (1923), (1943) % 51.90/8.46 | | | | | | | | | | | | | | | | | gives: % 51.90/8.46 | | | | | | | | | | | | | | | | | (1947) all_436_1 = all_8_1 % 51.90/8.46 | | | | | | | | | | | | | | | | | % 51.90/8.46 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (17) with all_434_1, all_436_1, % 51.90/8.46 | | | | | | | | | | | | | | | | | all_8_1, all_8_1, simplifying with (1941), (1943) % 51.90/8.46 | | | | | | | | | | | | | | | | | gives: % 51.90/8.46 | | | | | | | | | | | | | | | | | (1948) all_436_1 = all_434_1 % 51.90/8.46 | | | | | | | | | | | | | | | | | % 51.90/8.46 | | | | | | | | | | | | | | | | | COMBINE_EQS: (1947), (1948) imply: % 51.90/8.46 | | | | | | | | | | | | | | | | | (1949) all_434_1 = all_8_1 % 51.90/8.46 | | | | | | | | | | | | | | | | | % 51.90/8.46 | | | | | | | | | | | | | | | | | SIMP: (1949) implies: % 51.90/8.46 | | | | | | | | | | | | | | | | | (1950) all_434_1 = all_8_1 % 51.90/8.46 | | | | | | | | | | | | | | | | | % 51.90/8.46 | | | | | | | | | | | | | | | | | COMBINE_EQS: (1946), (1950) imply: % 51.90/8.46 | | | | | | | | | | | | | | | | | (1951) all_432_0 = all_8_1 % 51.90/8.46 | | | | | | | | | | | | | | | | | % 51.90/8.46 | | | | | | | | | | | | | | | | | SIMP: (1951) implies: % 51.90/8.46 | | | | | | | | | | | | | | | | | (1952) all_432_0 = all_8_1 % 51.90/8.46 | | | | | | | | | | | | | | | | | % 51.90/8.46 | | | | | | | | | | | | | | | | | COMBINE_EQS: (1945), (1952) imply: % 51.90/8.46 | | | | | | | | | | | | | | | | | (1953) all_430_0 = all_8_1 % 51.90/8.46 | | | | | | | | | | | | | | | | | % 51.90/8.46 | | | | | | | | | | | | | | | | | SIMP: (1953) implies: % 51.90/8.46 | | | | | | | | | | | | | | | | | (1954) all_430_0 = all_8_1 % 51.90/8.46 | | | | | | | | | | | | | | | | | % 51.90/8.46 | | | | | | | | | | | | | | | | | BETA: splitting (1944) gives: % 51.90/8.46 | | | | | | | | | | | | | | | | | % 51.90/8.46 | | | | | | | | | | | | | | | | | Case 1: % 51.90/8.46 | | | | | | | | | | | | | | | | | | % 51.90/8.46 | | | | | | | | | | | | | | | | | | (1955) ~ (all_436_1 = all_8_1) % 51.90/8.46 | | | | | | | | | | | | | | | | | | % 51.90/8.46 | | | | | | | | | | | | | | | | | | REDUCE: (1947), (1955) imply: % 51.90/8.46 | | | | | | | | | | | | | | | | | | (1956) $false % 51.90/8.46 | | | | | | | | | | | | | | | | | | % 51.90/8.46 | | | | | | | | | | | | | | | | | | CLOSE: (1956) is inconsistent. % 51.90/8.46 | | | | | | | | | | | | | | | | | | % 51.90/8.46 | | | | | | | | | | | | | | | | | Case 2: % 51.90/8.46 | | | | | | | | | | | | | | | | | | % 51.90/8.46 | | | | | | | | | | | | | | | | | | % 51.90/8.46 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with all_382_0, all_8_6, % 51.90/8.46 | | | | | | | | | | | | | | | | | | all_8_1, all_8_6, all_382_0, simplifying with % 51.90/8.46 | | | | | | | | | | | | | | | | | | (21), (24), (1369), (1912), (1933) gives: % 51.90/8.46 | | | | | | | | | | | | | | | | | | (1957) ? [v0: $i] : (product(all_8_1, v0) = all_382_0 & % 51.90/8.46 | | | | | | | | | | | | | | | | | | product(all_8_6, all_382_0) = v0 & $i(v0)) % 51.90/8.46 | | | | | | | | | | | | | | | | | | % 51.90/8.46 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with all_382_0, all_8_6, % 51.90/8.46 | | | | | | | | | | | | | | | | | | all_8_5, all_8_6, all_382_0, simplifying with % 51.90/8.46 | | | | | | | | | | | | | | | | | | (21), (22), (1865), (1912), (1933) gives: % 51.90/8.46 | | | | | | | | | | | | | | | | | | (1958) ? [v0: $i] : (product(all_8_5, v0) = all_382_0 & % 51.90/8.46 | | | | | | | | | | | | | | | | | | product(all_8_6, all_382_0) = v0 & $i(v0)) % 51.90/8.46 | | | | | | | | | | | | | | | | | | % 51.90/8.46 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (1) with all_382_0, all_8_5, % 51.90/8.46 | | | | | | | | | | | | | | | | | | all_8_1, all_8_5, all_8_1, simplifying with (22), % 51.90/8.46 | | | | | | | | | | | | | | | | | | (24), (443), (1912), (1930) gives: % 51.90/8.46 | | | | | | | | | | | | | | | | | | (1959) ? [v0: $i] : (product(v0, all_382_0) = all_8_1 & % 51.90/8.46 | | | | | | | | | | | | | | | | | | product(all_8_1, all_8_5) = v0 & $i(v0)) % 51.90/8.46 | | | | | | | | | | | | | | | | | | % 51.90/8.46 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (1) with all_8_6, all_382_0, % 51.90/8.46 | | | | | | | | | | | | | | | | | | all_8_1, all_8_6, all_8_6, simplifying with (21), % 51.90/8.46 | | | | | | | | | | | | | | | | | | (24), (1369), (1912), (1934) gives: % 51.90/8.46 | | | | | | | | | | | | | | | | | | (1960) ? [v0: $i] : (product(v0, all_8_6) = all_8_6 & % 51.90/8.46 | | | | | | | | | | | | | | | | | | product(all_8_1, all_382_0) = v0 & $i(v0)) % 51.90/8.46 | | | | | | | | | | | | | | | | | | % 51.90/8.46 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with all_382_0, all_8_6, % 51.90/8.46 | | | | | | | | | | | | | | | | | | all_382_0, all_8_6, all_382_0, simplifying with % 51.90/8.46 | | | | | | | | | | | | | | | | | | (21), (1912), (1933), (1934) gives: % 51.90/8.46 | | | | | | | | | | | | | | | | | | (1961) ? [v0: $i] : (product(all_382_0, v0) = all_382_0 % 51.90/8.46 | | | | | | | | | | | | | | | | | | & product(all_8_6, all_382_0) = v0 & $i(v0)) % 51.90/8.46 | | | | | | | | | | | | | | | | | | % 51.90/8.46 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (9) with all_382_0, all_8_6, % 51.90/8.46 | | | | | | | | | | | | | | | | | | simplifying with (21), (1912), (1934) gives: % 51.90/8.46 | | | | | | | | | | | | | | | | | | (1962) ? [v0: $i] : ? [v1: any] : (r(all_382_0, % 51.90/8.46 | | | | | | | | | | | | | | | | | | all_8_6) = v1 & product(all_8_6, all_382_0) = % 51.90/8.46 | | | | | | | | | | | | | | | | | | v0 & $i(v0) & ( ~ (v0 = all_382_0) | v1 = 0)) % 51.90/8.46 | | | | | | | | | | | | | | | | | | % 51.90/8.46 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (7) with all_8_6, all_382_0, % 51.90/8.46 | | | | | | | | | | | | | | | | | | all_8_6, simplifying with (21), (1912), (1934) % 51.90/8.46 | | | | | | | | | | | | | | | | | | gives: % 51.90/8.46 | | | | | | | | | | | | | | | | | | (1963) ? [v0: any] : ? [v1: $i] : (l(all_8_6, % 51.90/8.46 | | | | | | | | | | | | | | | | | | all_382_0) = v0 & product(all_8_6, all_382_0) % 51.90/8.46 | | | | | | | | | | | | | | | | | | = v1 & $i(v1) & ( ~ (v0 = 0) | (v1 = all_8_6 & % 51.90/8.46 | | | | | | | | | | | | | | | | | | all_382_0 = all_8_6))) % 51.90/8.46 | | | | | | | | | | | | | | | | | | % 51.90/8.46 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (12) with all_382_0, all_8_6, % 51.90/8.46 | | | | | | | | | | | | | | | | | | all_8_6, simplifying with (21), (1912), (1934) % 51.90/8.46 | | | | | | | | | | | | | | | | | | gives: % 51.90/8.46 | | | | | | | | | | | | | | | | | | (1964) ? [v0: any] : ? [v1: $i] : (r(all_382_0, % 51.90/8.46 | | | | | | | | | | | | | | | | | | all_8_6) = v0 & product(all_8_6, all_382_0) = % 51.90/8.46 | | | | | | | | | | | | | | | | | | v1 & $i(v1) & ( ~ (v0 = 0) | v1 = all_382_0)) % 51.90/8.46 | | | | | | | | | | | | | | | | | | % 51.90/8.46 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (6) with all_382_0, all_8_6, % 51.90/8.46 | | | | | | | | | | | | | | | | | | all_8_6, simplifying with (21), (1912), (1934) % 51.90/8.46 | | | | | | | | | | | | | | | | | | gives: % 51.90/8.46 | | | | | | | | | | | | | | | | | | (1965) ? [v0: any] : ? [v1: $i] : (l(all_382_0, % 51.90/8.46 | | | | | | | | | | | | | | | | | | all_8_6) = v0 & product(all_8_6, all_382_0) = % 51.90/8.46 | | | | | | | | | | | | | | | | | | v1 & $i(v1) & ( ~ (v0 = 0) | (v1 = all_8_6 & % 51.90/8.46 | | | | | | | | | | | | | | | | | | all_382_0 = all_8_6))) % 51.90/8.46 | | | | | | | | | | | | | | | | | | % 51.90/8.46 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_8_5, all_382_0, % 51.90/8.46 | | | | | | | | | | | | | | | | | | simplifying with (22), (1912), (1931) gives: % 51.90/8.46 | | | | | | | | | | | | | | | | | | (1966) ? [v0: $i] : ? [v1: any] : (l(all_8_5, % 51.90/8.46 | | | | | | | | | | | | | | | | | | all_382_0) = v1 & product(all_8_5, all_382_0) % 51.90/8.46 | | | | | | | | | | | | | | | | | | = v0 & $i(v0) & ( ~ (v0 = all_8_5) | v1 = 0)) % 51.90/8.46 | | | | | | | | | | | | | | | | | | % 51.90/8.46 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (13) with all_8_5, all_382_0, % 51.90/8.46 | | | | | | | | | | | | | | | | | | all_382_0, simplifying with (22), (1912), (1931) % 51.90/8.46 | | | | | | | | | | | | | | | | | | gives: % 51.90/8.46 | | | | | | | | | | | | | | | | | | (1967) ? [v0: any] : ? [v1: $i] : (r(all_8_5, % 51.90/8.46 | | | | | | | | | | | | | | | | | | all_382_0) = v0 & product(all_8_5, all_382_0) % 51.90/8.46 | | | | | | | | | | | | | | | | | | = v1 & $i(v1) & ( ~ (v0 = 0) | (v1 = all_8_5 & % 51.90/8.46 | | | | | | | | | | | | | | | | | | all_382_0 = all_8_5))) % 51.90/8.46 | | | | | | | | | | | | | | | | | | % 51.90/8.46 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (7) with all_8_5, all_382_0, % 51.90/8.46 | | | | | | | | | | | | | | | | | | all_382_0, simplifying with (22), (1912), (1931) % 51.90/8.46 | | | | | | | | | | | | | | | | | | gives: % 51.90/8.46 | | | | | | | | | | | | | | | | | | (1968) ? [v0: any] : ? [v1: $i] : (l(all_8_5, % 51.90/8.46 | | | | | | | | | | | | | | | | | | all_382_0) = v0 & product(all_8_5, all_382_0) % 51.90/8.46 | | | | | | | | | | | | | | | | | | = v1 & $i(v1) & ( ~ (v0 = 0) | v1 = all_8_5)) % 51.90/8.46 | | | | | | | | | | | | | | | | | | % 51.90/8.46 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (12) with all_382_0, all_8_5, % 51.90/8.46 | | | | | | | | | | | | | | | | | | all_382_0, simplifying with (22), (1912), (1931) % 51.90/8.46 | | | | | | | | | | | | | | | | | | gives: % 51.90/8.46 | | | | | | | | | | | | | | | | | | (1969) ? [v0: any] : ? [v1: $i] : (r(all_382_0, % 51.90/8.46 | | | | | | | | | | | | | | | | | | all_8_5) = v0 & product(all_8_5, all_382_0) = % 51.90/8.46 | | | | | | | | | | | | | | | | | | v1 & $i(v1) & ( ~ (v0 = 0) | (v1 = all_8_5 & % 51.90/8.46 | | | | | | | | | | | | | | | | | | all_382_0 = all_8_5))) % 51.90/8.46 | | | | | | | | | | | | | | | | | | % 51.90/8.46 | | | | | | | | | | | | | | | | | | DELTA: instantiating (1959) with fresh symbol all_465_0 % 51.90/8.46 | | | | | | | | | | | | | | | | | | gives: % 51.90/8.46 | | | | | | | | | | | | | | | | | | (1970) product(all_465_0, all_382_0) = all_8_1 & % 51.90/8.46 | | | | | | | | | | | | | | | | | | product(all_8_1, all_8_5) = all_465_0 & % 51.90/8.46 | | | | | | | | | | | | | | | | | | $i(all_465_0) % 51.90/8.46 | | | | | | | | | | | | | | | | | | % 51.90/8.46 | | | | | | | | | | | | | | | | | | ALPHA: (1970) implies: % 51.90/8.46 | | | | | | | | | | | | | | | | | | (1971) product(all_8_1, all_8_5) = all_465_0 % 51.90/8.46 | | | | | | | | | | | | | | | | | | (1972) product(all_465_0, all_382_0) = all_8_1 % 51.90/8.46 | | | | | | | | | | | | | | | | | | % 51.90/8.46 | | | | | | | | | | | | | | | | | | DELTA: instantiating (1961) with fresh symbol all_467_0 % 51.90/8.46 | | | | | | | | | | | | | | | | | | gives: % 51.90/8.46 | | | | | | | | | | | | | | | | | | (1973) product(all_382_0, all_467_0) = all_382_0 & % 51.90/8.46 | | | | | | | | | | | | | | | | | | product(all_8_6, all_382_0) = all_467_0 & % 51.90/8.46 | | | | | | | | | | | | | | | | | | $i(all_467_0) % 51.90/8.46 | | | | | | | | | | | | | | | | | | % 51.90/8.46 | | | | | | | | | | | | | | | | | | ALPHA: (1973) implies: % 51.90/8.46 | | | | | | | | | | | | | | | | | | (1974) product(all_8_6, all_382_0) = all_467_0 % 51.90/8.46 | | | | | | | | | | | | | | | | | | % 51.90/8.46 | | | | | | | | | | | | | | | | | | DELTA: instantiating (1958) with fresh symbol all_473_0 % 51.90/8.46 | | | | | | | | | | | | | | | | | | gives: % 51.90/8.46 | | | | | | | | | | | | | | | | | | (1975) product(all_8_5, all_473_0) = all_382_0 & % 51.90/8.46 | | | | | | | | | | | | | | | | | | product(all_8_6, all_382_0) = all_473_0 & % 51.90/8.46 | | | | | | | | | | | | | | | | | | $i(all_473_0) % 51.90/8.46 | | | | | | | | | | | | | | | | | | % 51.90/8.46 | | | | | | | | | | | | | | | | | | ALPHA: (1975) implies: % 51.90/8.46 | | | | | | | | | | | | | | | | | | (1976) product(all_8_6, all_382_0) = all_473_0 % 51.90/8.46 | | | | | | | | | | | | | | | | | | (1977) product(all_8_5, all_473_0) = all_382_0 % 51.90/8.46 | | | | | | | | | | | | | | | | | | % 51.90/8.46 | | | | | | | | | | | | | | | | | | DELTA: instantiating (1960) with fresh symbol all_475_0 % 51.90/8.46 | | | | | | | | | | | | | | | | | | gives: % 51.90/8.46 | | | | | | | | | | | | | | | | | | (1978) product(all_475_0, all_8_6) = all_8_6 & % 51.90/8.46 | | | | | | | | | | | | | | | | | | product(all_8_1, all_382_0) = all_475_0 & % 51.90/8.46 | | | | | | | | | | | | | | | | | | $i(all_475_0) % 51.90/8.46 | | | | | | | | | | | | | | | | | | % 51.90/8.46 | | | | | | | | | | | | | | | | | | ALPHA: (1978) implies: % 51.90/8.47 | | | | | | | | | | | | | | | | | | (1979) product(all_8_1, all_382_0) = all_475_0 % 51.90/8.47 | | | | | | | | | | | | | | | | | | % 51.90/8.47 | | | | | | | | | | | | | | | | | | DELTA: instantiating (1957) with fresh symbol all_477_0 % 51.90/8.47 | | | | | | | | | | | | | | | | | | gives: % 51.90/8.47 | | | | | | | | | | | | | | | | | | (1980) product(all_8_1, all_477_0) = all_382_0 & % 51.90/8.47 | | | | | | | | | | | | | | | | | | product(all_8_6, all_382_0) = all_477_0 & % 51.90/8.47 | | | | | | | | | | | | | | | | | | $i(all_477_0) % 51.90/8.47 | | | | | | | | | | | | | | | | | | % 51.90/8.47 | | | | | | | | | | | | | | | | | | ALPHA: (1980) implies: % 51.90/8.47 | | | | | | | | | | | | | | | | | | (1981) product(all_8_6, all_382_0) = all_477_0 % 51.90/8.47 | | | | | | | | | | | | | | | | | | (1982) product(all_8_1, all_477_0) = all_382_0 % 51.90/8.47 | | | | | | | | | | | | | | | | | | % 51.90/8.47 | | | | | | | | | | | | | | | | | | DELTA: instantiating (1968) with fresh symbols all_483_0, % 51.90/8.47 | | | | | | | | | | | | | | | | | | all_483_1 gives: % 51.90/8.47 | | | | | | | | | | | | | | | | | | (1983) l(all_8_5, all_382_0) = all_483_1 & % 51.90/8.47 | | | | | | | | | | | | | | | | | | product(all_8_5, all_382_0) = all_483_0 & % 51.90/8.47 | | | | | | | | | | | | | | | | | | $i(all_483_0) & ( ~ (all_483_1 = 0) | all_483_0 = % 51.90/8.47 | | | | | | | | | | | | | | | | | | all_8_5) % 51.90/8.47 | | | | | | | | | | | | | | | | | | % 51.90/8.47 | | | | | | | | | | | | | | | | | | ALPHA: (1983) implies: % 51.90/8.47 | | | | | | | | | | | | | | | | | | (1984) product(all_8_5, all_382_0) = all_483_0 % 51.90/8.47 | | | | | | | | | | | | | | | | | | % 51.90/8.47 | | | | | | | | | | | | | | | | | | DELTA: instantiating (1966) with fresh symbols all_487_0, % 51.90/8.47 | | | | | | | | | | | | | | | | | | all_487_1 gives: % 51.90/8.47 | | | | | | | | | | | | | | | | | | (1985) l(all_8_5, all_382_0) = all_487_0 & % 51.90/8.47 | | | | | | | | | | | | | | | | | | product(all_8_5, all_382_0) = all_487_1 & % 51.90/8.47 | | | | | | | | | | | | | | | | | | $i(all_487_1) & ( ~ (all_487_1 = all_8_5) | % 51.90/8.47 | | | | | | | | | | | | | | | | | | all_487_0 = 0) % 51.90/8.47 | | | | | | | | | | | | | | | | | | % 51.90/8.47 | | | | | | | | | | | | | | | | | | ALPHA: (1985) implies: % 51.90/8.47 | | | | | | | | | | | | | | | | | | (1986) product(all_8_5, all_382_0) = all_487_1 % 51.90/8.47 | | | | | | | | | | | | | | | | | | % 51.90/8.47 | | | | | | | | | | | | | | | | | | DELTA: instantiating (1964) with fresh symbols all_489_0, % 51.90/8.47 | | | | | | | | | | | | | | | | | | all_489_1 gives: % 51.90/8.47 | | | | | | | | | | | | | | | | | | (1987) r(all_382_0, all_8_6) = all_489_1 & % 51.90/8.47 | | | | | | | | | | | | | | | | | | product(all_8_6, all_382_0) = all_489_0 & % 51.90/8.47 | | | | | | | | | | | | | | | | | | $i(all_489_0) & ( ~ (all_489_1 = 0) | all_489_0 = % 51.90/8.47 | | | | | | | | | | | | | | | | | | all_382_0) % 51.90/8.47 | | | | | | | | | | | | | | | | | | % 51.90/8.47 | | | | | | | | | | | | | | | | | | ALPHA: (1987) implies: % 51.90/8.47 | | | | | | | | | | | | | | | | | | (1988) product(all_8_6, all_382_0) = all_489_0 % 51.90/8.47 | | | | | | | | | | | | | | | | | | % 51.90/8.47 | | | | | | | | | | | | | | | | | | DELTA: instantiating (1962) with fresh symbols all_495_0, % 51.90/8.47 | | | | | | | | | | | | | | | | | | all_495_1 gives: % 51.90/8.47 | | | | | | | | | | | | | | | | | | (1989) r(all_382_0, all_8_6) = all_495_0 & % 51.90/8.47 | | | | | | | | | | | | | | | | | | product(all_8_6, all_382_0) = all_495_1 & % 51.90/8.47 | | | | | | | | | | | | | | | | | | $i(all_495_1) & ( ~ (all_495_1 = all_382_0) | % 51.90/8.47 | | | | | | | | | | | | | | | | | | all_495_0 = 0) % 51.90/8.47 | | | | | | | | | | | | | | | | | | % 51.90/8.47 | | | | | | | | | | | | | | | | | | ALPHA: (1989) implies: % 51.90/8.47 | | | | | | | | | | | | | | | | | | (1990) product(all_8_6, all_382_0) = all_495_1 % 51.90/8.47 | | | | | | | | | | | | | | | | | | % 51.90/8.47 | | | | | | | | | | | | | | | | | | DELTA: instantiating (1967) with fresh symbols all_499_0, % 51.90/8.47 | | | | | | | | | | | | | | | | | | all_499_1 gives: % 51.90/8.47 | | | | | | | | | | | | | | | | | | (1991) r(all_8_5, all_382_0) = all_499_1 & % 51.90/8.47 | | | | | | | | | | | | | | | | | | product(all_8_5, all_382_0) = all_499_0 & % 51.90/8.47 | | | | | | | | | | | | | | | | | | $i(all_499_0) & ( ~ (all_499_1 = 0) | (all_499_0 = % 51.90/8.47 | | | | | | | | | | | | | | | | | | all_8_5 & all_382_0 = all_8_5)) % 51.90/8.47 | | | | | | | | | | | | | | | | | | % 51.90/8.47 | | | | | | | | | | | | | | | | | | ALPHA: (1991) implies: % 51.90/8.47 | | | | | | | | | | | | | | | | | | (1992) product(all_8_5, all_382_0) = all_499_0 % 51.90/8.47 | | | | | | | | | | | | | | | | | | % 51.90/8.47 | | | | | | | | | | | | | | | | | | DELTA: instantiating (1963) with fresh symbols all_507_0, % 51.90/8.47 | | | | | | | | | | | | | | | | | | all_507_1 gives: % 51.90/8.47 | | | | | | | | | | | | | | | | | | (1993) l(all_8_6, all_382_0) = all_507_1 & % 51.90/8.47 | | | | | | | | | | | | | | | | | | product(all_8_6, all_382_0) = all_507_0 & % 51.90/8.47 | | | | | | | | | | | | | | | | | | $i(all_507_0) & ( ~ (all_507_1 = 0) | (all_507_0 = % 51.90/8.47 | | | | | | | | | | | | | | | | | | all_8_6 & all_382_0 = all_8_6)) % 51.90/8.47 | | | | | | | | | | | | | | | | | | % 51.90/8.47 | | | | | | | | | | | | | | | | | | ALPHA: (1993) implies: % 51.90/8.47 | | | | | | | | | | | | | | | | | | (1994) product(all_8_6, all_382_0) = all_507_0 % 51.90/8.47 | | | | | | | | | | | | | | | | | | % 51.90/8.47 | | | | | | | | | | | | | | | | | | DELTA: instantiating (1969) with fresh symbols all_509_0, % 51.90/8.47 | | | | | | | | | | | | | | | | | | all_509_1 gives: % 51.90/8.47 | | | | | | | | | | | | | | | | | | (1995) r(all_382_0, all_8_5) = all_509_1 & % 51.90/8.47 | | | | | | | | | | | | | | | | | | product(all_8_5, all_382_0) = all_509_0 & % 51.90/8.47 | | | | | | | | | | | | | | | | | | $i(all_509_0) & ( ~ (all_509_1 = 0) | (all_509_0 = % 51.90/8.47 | | | | | | | | | | | | | | | | | | all_8_5 & all_382_0 = all_8_5)) % 51.90/8.47 | | | | | | | | | | | | | | | | | | % 51.90/8.47 | | | | | | | | | | | | | | | | | | ALPHA: (1995) implies: % 51.90/8.47 | | | | | | | | | | | | | | | | | | (1996) product(all_8_5, all_382_0) = all_509_0 % 51.90/8.47 | | | | | | | | | | | | | | | | | | % 51.90/8.47 | | | | | | | | | | | | | | | | | | DELTA: instantiating (1965) with fresh symbols all_513_0, % 51.90/8.47 | | | | | | | | | | | | | | | | | | all_513_1 gives: % 51.90/8.47 | | | | | | | | | | | | | | | | | | (1997) l(all_382_0, all_8_6) = all_513_1 & % 51.90/8.47 | | | | | | | | | | | | | | | | | | product(all_8_6, all_382_0) = all_513_0 & % 51.90/8.47 | | | | | | | | | | | | | | | | | | $i(all_513_0) & ( ~ (all_513_1 = 0) | (all_513_0 = % 51.90/8.47 | | | | | | | | | | | | | | | | | | all_8_6 & all_382_0 = all_8_6)) % 51.90/8.47 | | | | | | | | | | | | | | | | | | % 51.90/8.47 | | | | | | | | | | | | | | | | | | ALPHA: (1997) implies: % 51.90/8.47 | | | | | | | | | | | | | | | | | | (1998) product(all_8_6, all_382_0) = all_513_0 % 51.90/8.47 | | | | | | | | | | | | | | | | | | % 51.90/8.47 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (17) with all_382_0, all_477_0, % 51.90/8.47 | | | | | | | | | | | | | | | | | | all_382_0, all_8_6, simplifying with (1933), % 51.90/8.47 | | | | | | | | | | | | | | | | | | (1981) gives: % 51.90/8.47 | | | | | | | | | | | | | | | | | | (1999) all_477_0 = all_382_0 % 51.90/8.47 | | | | | | | | | | | | | | | | | | % 51.90/8.47 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (17) with all_473_0, all_477_0, % 51.90/8.47 | | | | | | | | | | | | | | | | | | all_382_0, all_8_6, simplifying with (1976), % 51.90/8.47 | | | | | | | | | | | | | | | | | | (1981) gives: % 51.90/8.47 | | | | | | | | | | | | | | | | | | (2000) all_477_0 = all_473_0 % 51.90/8.47 | | | | | | | | | | | | | | | | | | % 51.90/8.47 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (17) with all_495_1, all_507_0, % 51.90/8.47 | | | | | | | | | | | | | | | | | | all_382_0, all_8_6, simplifying with (1990), % 51.90/8.47 | | | | | | | | | | | | | | | | | | (1994) gives: % 51.90/8.47 | | | | | | | | | | | | | | | | | | (2001) all_507_0 = all_495_1 % 51.90/8.47 | | | | | | | | | | | | | | | | | | % 51.90/8.47 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (17) with all_489_0, all_507_0, % 51.90/8.47 | | | | | | | | | | | | | | | | | | all_382_0, all_8_6, simplifying with (1988), % 51.90/8.47 | | | | | | | | | | | | | | | | | | (1994) gives: % 51.90/8.47 | | | | | | | | | | | | | | | | | | (2002) all_507_0 = all_489_0 % 51.90/8.47 | | | | | | | | | | | | | | | | | | % 51.90/8.47 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (17) with all_477_0, all_507_0, % 51.90/8.47 | | | | | | | | | | | | | | | | | | all_382_0, all_8_6, simplifying with (1981), % 51.90/8.47 | | | | | | | | | | | | | | | | | | (1994) gives: % 51.90/8.47 | | | | | | | | | | | | | | | | | | (2003) all_507_0 = all_477_0 % 51.90/8.47 | | | | | | | | | | | | | | | | | | % 51.90/8.47 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (17) with all_495_1, all_513_0, % 51.90/8.47 | | | | | | | | | | | | | | | | | | all_382_0, all_8_6, simplifying with (1990), % 51.90/8.47 | | | | | | | | | | | | | | | | | | (1998) gives: % 51.90/8.47 | | | | | | | | | | | | | | | | | | (2004) all_513_0 = all_495_1 % 51.90/8.47 | | | | | | | | | | | | | | | | | | % 51.90/8.47 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (17) with all_467_0, all_513_0, % 51.90/8.47 | | | | | | | | | | | | | | | | | | all_382_0, all_8_6, simplifying with (1974), % 51.90/8.47 | | | | | | | | | | | | | | | | | | (1998) gives: % 51.90/8.47 | | | | | | | | | | | | | | | | | | (2005) all_513_0 = all_467_0 % 51.90/8.47 | | | | | | | | | | | | | | | | | | % 51.90/8.47 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (17) with all_8_5, all_509_0, % 51.90/8.47 | | | | | | | | | | | | | | | | | | all_382_0, all_8_5, simplifying with (1930), % 51.90/8.47 | | | | | | | | | | | | | | | | | | (1996) gives: % 51.90/8.47 | | | | | | | | | | | | | | | | | | (2006) all_509_0 = all_8_5 % 51.90/8.47 | | | | | | | | | | | | | | | | | | % 51.90/8.47 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (17) with all_499_0, all_509_0, % 51.90/8.47 | | | | | | | | | | | | | | | | | | all_382_0, all_8_5, simplifying with (1992), % 51.90/8.47 | | | | | | | | | | | | | | | | | | (1996) gives: % 51.90/8.47 | | | | | | | | | | | | | | | | | | (2007) all_509_0 = all_499_0 % 51.90/8.47 | | | | | | | | | | | | | | | | | | % 51.90/8.47 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (17) with all_487_1, all_509_0, % 51.90/8.47 | | | | | | | | | | | | | | | | | | all_382_0, all_8_5, simplifying with (1986), % 51.90/8.47 | | | | | | | | | | | | | | | | | | (1996) gives: % 51.90/8.47 | | | | | | | | | | | | | | | | | | (2008) all_509_0 = all_487_1 % 51.90/8.47 | | | | | | | | | | | | | | | | | | % 51.90/8.47 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (17) with all_483_0, all_509_0, % 51.90/8.47 | | | | | | | | | | | | | | | | | | all_382_0, all_8_5, simplifying with (1984), % 51.90/8.47 | | | | | | | | | | | | | | | | | | (1996) gives: % 51.90/8.47 | | | | | | | | | | | | | | | | | | (2009) all_509_0 = all_483_0 % 51.90/8.47 | | | | | | | | | | | | | | | | | | % 51.90/8.47 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (17) with all_8_1, all_465_0, % 51.90/8.47 | | | | | | | | | | | | | | | | | | all_8_5, all_8_1, simplifying with (443), (1971) % 51.90/8.47 | | | | | | | | | | | | | | | | | | gives: % 51.90/8.47 | | | | | | | | | | | | | | | | | | (2010) all_465_0 = all_8_1 % 51.90/8.47 | | | | | | | | | | | | | | | | | | % 51.90/8.47 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2004), (2005) imply: % 51.90/8.47 | | | | | | | | | | | | | | | | | | (2011) all_495_1 = all_467_0 % 51.90/8.47 | | | | | | | | | | | | | | | | | | % 51.90/8.47 | | | | | | | | | | | | | | | | | | SIMP: (2011) implies: % 51.90/8.47 | | | | | | | | | | | | | | | | | | (2012) all_495_1 = all_467_0 % 51.90/8.47 | | | | | | | | | | | | | | | | | | % 51.90/8.47 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2007), (2009) imply: % 51.90/8.47 | | | | | | | | | | | | | | | | | | (2013) all_499_0 = all_483_0 % 51.90/8.47 | | | | | | | | | | | | | | | | | | % 51.90/8.47 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2006), (2007) imply: % 51.90/8.47 | | | | | | | | | | | | | | | | | | (2014) all_499_0 = all_8_5 % 51.90/8.47 | | | | | | | | | | | | | | | | | | % 51.90/8.47 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2007), (2008) imply: % 51.90/8.47 | | | | | | | | | | | | | | | | | | (2015) all_499_0 = all_487_1 % 51.90/8.47 | | | | | | | | | | | | | | | | | | % 51.90/8.47 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2002), (2003) imply: % 51.90/8.47 | | | | | | | | | | | | | | | | | | (2016) all_489_0 = all_477_0 % 51.90/8.47 | | | | | | | | | | | | | | | | | | % 51.90/8.47 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2001), (2002) imply: % 51.90/8.47 | | | | | | | | | | | | | | | | | | (2017) all_495_1 = all_489_0 % 51.90/8.47 | | | | | | | | | | | | | | | | | | % 51.90/8.47 | | | | | | | | | | | | | | | | | | SIMP: (2017) implies: % 51.90/8.47 | | | | | | | | | | | | | | | | | | (2018) all_495_1 = all_489_0 % 51.90/8.47 | | | | | | | | | | | | | | | | | | % 51.90/8.47 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2013), (2015) imply: % 51.90/8.47 | | | | | | | | | | | | | | | | | | (2019) all_487_1 = all_483_0 % 51.90/8.47 | | | | | | | | | | | | | | | | | | % 51.90/8.47 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2014), (2015) imply: % 51.90/8.47 | | | | | | | | | | | | | | | | | | (2020) all_487_1 = all_8_5 % 51.90/8.47 | | | | | | | | | | | | | | | | | | % 51.90/8.47 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2012), (2018) imply: % 51.90/8.47 | | | | | | | | | | | | | | | | | | (2021) all_489_0 = all_467_0 % 51.90/8.47 | | | | | | | | | | | | | | | | | | % 51.90/8.47 | | | | | | | | | | | | | | | | | | SIMP: (2021) implies: % 51.90/8.47 | | | | | | | | | | | | | | | | | | (2022) all_489_0 = all_467_0 % 51.90/8.47 | | | | | | | | | | | | | | | | | | % 51.90/8.47 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2016), (2022) imply: % 51.90/8.47 | | | | | | | | | | | | | | | | | | (2023) all_477_0 = all_467_0 % 51.90/8.47 | | | | | | | | | | | | | | | | | | % 51.90/8.47 | | | | | | | | | | | | | | | | | | SIMP: (2023) implies: % 51.90/8.47 | | | | | | | | | | | | | | | | | | (2024) all_477_0 = all_467_0 % 51.90/8.47 | | | | | | | | | | | | | | | | | | % 51.90/8.47 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2019), (2020) imply: % 51.90/8.47 | | | | | | | | | | | | | | | | | | (2025) all_483_0 = all_8_5 % 51.90/8.47 | | | | | | | | | | | | | | | | | | % 51.90/8.47 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1999), (2000) imply: % 51.90/8.47 | | | | | | | | | | | | | | | | | | (2026) all_473_0 = all_382_0 % 51.90/8.47 | | | | | | | | | | | | | | | | | | % 51.90/8.47 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2000), (2024) imply: % 51.90/8.47 | | | | | | | | | | | | | | | | | | (2027) all_473_0 = all_467_0 % 51.90/8.47 | | | | | | | | | | | | | | | | | | % 51.90/8.47 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2026), (2027) imply: % 51.90/8.47 | | | | | | | | | | | | | | | | | | (2028) all_467_0 = all_382_0 % 51.90/8.47 | | | | | | | | | | | | | | | | | | % 51.90/8.47 | | | | | | | | | | | | | | | | | | REDUCE: (1972), (2010) imply: % 51.90/8.47 | | | | | | | | | | | | | | | | | | (2029) product(all_8_1, all_382_0) = all_8_1 % 51.90/8.47 | | | | | | | | | | | | | | | | | | % 51.90/8.47 | | | | | | | | | | | | | | | | | | REDUCE: (1982), (1999) imply: % 51.90/8.47 | | | | | | | | | | | | | | | | | | (2030) product(all_8_1, all_382_0) = all_382_0 % 51.90/8.47 | | | | | | | | | | | | | | | | | | % 51.90/8.47 | | | | | | | | | | | | | | | | | | REDUCE: (1977), (2026) imply: % 51.90/8.47 | | | | | | | | | | | | | | | | | | (2031) product(all_8_5, all_382_0) = all_382_0 % 51.90/8.47 | | | | | | | | | | | | | | | | | | % 51.90/8.47 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (17) with all_8_5, all_382_0, % 51.90/8.47 | | | | | | | | | | | | | | | | | | all_382_0, all_8_5, simplifying with (1930), % 51.90/8.47 | | | | | | | | | | | | | | | | | | (2031) gives: % 51.90/8.47 | | | | | | | | | | | | | | | | | | (2032) all_382_0 = all_8_5 % 51.90/8.47 | | | | | | | | | | | | | | | | | | % 51.90/8.47 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (17) with all_475_0, all_8_1, % 51.90/8.47 | | | | | | | | | | | | | | | | | | all_382_0, all_8_1, simplifying with (1979), % 51.90/8.47 | | | | | | | | | | | | | | | | | | (2029) gives: % 51.90/8.47 | | | | | | | | | | | | | | | | | | (2033) all_475_0 = all_8_1 % 51.90/8.47 | | | | | | | | | | | | | | | | | | % 51.90/8.47 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (17) with all_475_0, all_382_0, % 51.90/8.47 | | | | | | | | | | | | | | | | | | all_382_0, all_8_1, simplifying with (1979), % 51.90/8.47 | | | | | | | | | | | | | | | | | | (2030) gives: % 51.90/8.47 | | | | | | | | | | | | | | | | | | (2034) all_475_0 = all_382_0 % 51.90/8.47 | | | | | | | | | | | | | | | | | | % 51.90/8.47 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2033), (2034) imply: % 51.90/8.47 | | | | | | | | | | | | | | | | | | (2035) all_382_0 = all_8_1 % 51.90/8.47 | | | | | | | | | | | | | | | | | | % 51.90/8.47 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2032), (2035) imply: % 51.90/8.47 | | | | | | | | | | | | | | | | | | (2036) all_8_1 = all_8_5 % 51.90/8.47 | | | | | | | | | | | | | | | | | | % 51.90/8.47 | | | | | | | | | | | | | | | | | | REDUCE: (1889), (2036) imply: % 51.90/8.47 | | | | | | | | | | | | | | | | | | (2037) $false % 51.90/8.47 | | | | | | | | | | | | | | | | | | % 51.90/8.47 | | | | | | | | | | | | | | | | | | CLOSE: (2037) is inconsistent. % 51.90/8.47 | | | | | | | | | | | | | | | | | | % 51.90/8.47 | | | | | | | | | | | | | | | | | End of split % 51.90/8.47 | | | | | | | | | | | | | | | | | % 51.90/8.48 | | | | | | | | | | | | | | | | End of split % 51.90/8.48 | | | | | | | | | | | | | | | | % 51.90/8.48 | | | | | | | | | | | | | | | End of split % 51.90/8.48 | | | | | | | | | | | | | | | % 51.90/8.48 | | | | | | | | | | | | | | End of split % 51.90/8.48 | | | | | | | | | | | | | | % 51.90/8.48 | | | | | | | | | | | | | End of split % 51.90/8.48 | | | | | | | | | | | | | % 51.90/8.48 | | | | | | | | | | | | End of split % 51.90/8.48 | | | | | | | | | | | | % 51.90/8.48 | | | | | | | | | | | Case 2: % 51.90/8.48 | | | | | | | | | | | | % 51.90/8.48 | | | | | | | | | | | | (2038) all_33_0 = all_8_5 & all_8_3 = all_8_6 % 51.90/8.48 | | | | | | | | | | | | % 51.90/8.48 | | | | | | | | | | | | ALPHA: (2038) implies: % 51.90/8.48 | | | | | | | | | | | | (2039) all_33_0 = all_8_5 % 51.90/8.48 | | | | | | | | | | | | % 51.90/8.48 | | | | | | | | | | | | COMBINE_EQS: (156), (2039) imply: % 51.90/8.48 | | | | | | | | | | | | (2040) all_8_1 = all_8_5 % 51.90/8.48 | | | | | | | | | | | | % 51.90/8.48 | | | | | | | | | | | | REDUCE: (28), (2040) imply: % 51.90/8.48 | | | | | | | | | | | | (2041) product(all_8_5, all_8_5) = all_8_0 % 51.90/8.48 | | | | | | | | | | | | % 51.90/8.48 | | | | | | | | | | | | REF_CLOSE: (17), (372), (690), (2041) are inconsistent by % 51.90/8.48 | | | | | | | | | | | | sub-proof #1. % 51.90/8.48 | | | | | | | | | | | | % 51.90/8.48 | | | | | | | | | | | End of split % 51.90/8.48 | | | | | | | | | | | % 51.90/8.48 | | | | | | | | | | Case 2: % 51.90/8.48 | | | | | | | | | | | % 51.90/8.48 | | | | | | | | | | | (2042) all_31_0 = all_8_6 & all_8_3 = all_8_5 % 51.90/8.48 | | | | | | | | | | | % 51.90/8.48 | | | | | | | | | | | ALPHA: (2042) implies: % 51.90/8.48 | | | | | | | | | | | (2043) all_8_3 = all_8_5 % 51.90/8.48 | | | | | | | | | | | % 51.90/8.48 | | | | | | | | | | | REDUCE: (158), (2043) imply: % 51.90/8.48 | | | | | | | | | | | (2044) product(all_8_5, all_8_5) = all_8_0 % 51.90/8.48 | | | | | | | | | | | % 51.90/8.48 | | | | | | | | | | | REF_CLOSE: (17), (372), (690), (2044) are inconsistent by % 51.90/8.48 | | | | | | | | | | | sub-proof #1. % 51.90/8.48 | | | | | | | | | | | % 51.90/8.48 | | | | | | | | | | End of split % 51.90/8.48 | | | | | | | | | | % 51.90/8.48 | | | | | | | | | End of split % 51.90/8.48 | | | | | | | | | % 51.90/8.48 | | | | | | | | Case 2: % 51.90/8.48 | | | | | | | | | % 51.90/8.48 | | | | | | | | | (2045) all_23_0 = all_8_5 & all_8_3 = all_8_6 % 51.90/8.48 | | | | | | | | | % 51.90/8.48 | | | | | | | | | ALPHA: (2045) implies: % 51.90/8.48 | | | | | | | | | (2046) all_23_0 = all_8_5 % 51.90/8.48 | | | | | | | | | % 51.90/8.48 | | | | | | | | | COMBINE_EQS: (149), (2046) imply: % 51.90/8.48 | | | | | | | | | (2047) all_8_1 = all_8_5 % 51.90/8.48 | | | | | | | | | % 51.90/8.48 | | | | | | | | | SIMP: (2047) implies: % 51.90/8.48 | | | | | | | | | (2048) all_8_1 = all_8_5 % 51.90/8.48 | | | | | | | | | % 51.90/8.48 | | | | | | | | | REDUCE: (28), (2048) imply: % 51.90/8.48 | | | | | | | | | (2049) product(all_8_5, all_8_5) = all_8_0 % 51.90/8.48 | | | | | | | | | % 51.90/8.48 | | | | | | | | | REF_CLOSE: (17), (372), (690), (2049) are inconsistent by % 51.90/8.48 | | | | | | | | | sub-proof #1. % 51.90/8.48 | | | | | | | | | % 51.90/8.48 | | | | | | | | End of split % 51.90/8.48 | | | | | | | | % 51.90/8.48 | | | | | | | Case 2: % 51.90/8.48 | | | | | | | | % 51.90/8.48 | | | | | | | | (2050) all_21_0 = all_8_6 & all_8_3 = all_8_5 % 51.90/8.48 | | | | | | | | % 51.90/8.48 | | | | | | | | ALPHA: (2050) implies: % 51.90/8.48 | | | | | | | | (2051) all_8_3 = all_8_5 % 51.90/8.48 | | | | | | | | % 51.90/8.48 | | | | | | | | REDUCE: (158), (2051) imply: % 51.90/8.48 | | | | | | | | (2052) product(all_8_5, all_8_5) = all_8_0 % 51.90/8.48 | | | | | | | | % 51.90/8.48 | | | | | | | | REF_CLOSE: (17), (372), (690), (2052) are inconsistent by % 51.90/8.48 | | | | | | | | sub-proof #1. % 51.90/8.48 | | | | | | | | % 51.90/8.48 | | | | | | | End of split % 51.90/8.48 | | | | | | | % 51.90/8.48 | | | | | | Case 2: % 51.90/8.48 | | | | | | | % 51.90/8.48 | | | | | | | (2053) all_88_0 = all_8_5 & all_8_0 = all_8_3 % 51.90/8.48 | | | | | | | % 51.90/8.48 | | | | | | | ALPHA: (2053) implies: % 51.90/8.48 | | | | | | | (2054) all_8_0 = all_8_3 % 51.90/8.48 | | | | | | | (2055) all_88_0 = all_8_5 % 51.90/8.48 | | | | | | | % 51.90/8.48 | | | | | | | COMBINE_EQS: (447), (2055) imply: % 51.90/8.48 | | | | | | | (2056) all_8_3 = all_8_5 % 51.90/8.48 | | | | | | | % 51.90/8.48 | | | | | | | COMBINE_EQS: (2054), (2056) imply: % 51.90/8.48 | | | | | | | (2057) all_8_0 = all_8_5 % 51.90/8.48 | | | | | | | % 51.90/8.48 | | | | | | | REDUCE: (690), (2057) imply: % 51.90/8.48 | | | | | | | (2058) $false % 51.90/8.48 | | | | | | | % 51.90/8.48 | | | | | | | CLOSE: (2058) is inconsistent. % 51.90/8.48 | | | | | | | % 51.90/8.48 | | | | | | End of split % 51.90/8.48 | | | | | | % 51.90/8.48 | | | | | Case 2: % 51.90/8.48 | | | | | | % 51.90/8.48 | | | | | | (2059) all_124_0 = all_8_3 & all_64_0 = all_8_5 % 51.90/8.48 | | | | | | % 51.90/8.48 | | | | | | ALPHA: (2059) implies: % 51.90/8.48 | | | | | | (2060) all_64_0 = all_8_5 % 51.90/8.48 | | | | | | (2061) all_124_0 = all_8_3 % 51.90/8.48 | | | | | | % 51.90/8.48 | | | | | | COMBINE_EQS: (426), (2061) imply: % 51.90/8.48 | | | | | | (2062) all_8_0 = all_8_3 % 51.90/8.48 | | | | | | % 51.90/8.48 | | | | | | COMBINE_EQS: (446), (2060) imply: % 51.90/8.48 | | | | | | (2063) all_8_3 = all_8_5 % 51.90/8.48 | | | | | | % 51.90/8.48 | | | | | | SIMP: (2063) implies: % 51.90/8.48 | | | | | | (2064) all_8_3 = all_8_5 % 51.90/8.48 | | | | | | % 51.90/8.48 | | | | | | COMBINE_EQS: (2062), (2064) imply: % 51.90/8.48 | | | | | | (2065) all_8_0 = all_8_5 % 51.90/8.48 | | | | | | % 51.90/8.48 | | | | | | REDUCE: (690), (2065) imply: % 51.90/8.48 | | | | | | (2066) $false % 51.90/8.48 | | | | | | % 51.90/8.48 | | | | | | CLOSE: (2066) is inconsistent. % 51.90/8.48 | | | | | | % 51.90/8.48 | | | | | End of split % 51.90/8.48 | | | | | % 51.90/8.48 | | | | Case 2: % 51.90/8.48 | | | | | % 51.90/8.48 | | | | | (2067) all_209_0 = 0 % 51.90/8.48 | | | | | % 51.90/8.48 | | | | | COMBINE_EQS: (567), (2067) imply: % 51.90/8.48 | | | | | (2068) all_19_1 = 0 % 51.90/8.48 | | | | | % 51.90/8.48 | | | | | REDUCE: (681), (2068) imply: % 51.90/8.48 | | | | | (2069) $false % 51.90/8.48 | | | | | % 51.90/8.48 | | | | | CLOSE: (2069) is inconsistent. % 51.90/8.48 | | | | | % 51.90/8.48 | | | | End of split % 51.90/8.48 | | | | % 51.90/8.48 | | | End of split % 51.90/8.48 | | | % 51.90/8.48 | | Case 2: % 51.90/8.48 | | | % 51.90/8.48 | | | (2070) all_19_0 = all_8_1 & all_8_0 = all_8_5 % 51.90/8.48 | | | % 51.90/8.48 | | | ALPHA: (2070) implies: % 51.90/8.48 | | | (2071) all_8_0 = all_8_5 % 51.90/8.48 | | | % 51.90/8.48 | | | REDUCE: (601), (2071) imply: % 51.90/8.48 | | | (2072) product(all_8_3, all_8_1) = all_8_5 % 51.90/8.48 | | | % 51.90/8.48 | | | REDUCE: (158), (2071) imply: % 51.90/8.48 | | | (2073) product(all_8_3, all_8_5) = all_8_5 % 51.90/8.48 | | | % 51.90/8.48 | | | REDUCE: (28), (2071) imply: % 51.90/8.48 | | | (2074) product(all_8_5, all_8_1) = all_8_5 % 51.90/8.48 | | | % 51.90/8.48 | | | BETA: splitting (679) gives: % 51.90/8.48 | | | % 51.90/8.48 | | | Case 1: % 51.90/8.48 | | | | % 51.90/8.48 | | | | (2075) ~ (all_8_0 = all_8_5) % 51.90/8.48 | | | | % 51.90/8.48 | | | | REDUCE: (2071), (2075) imply: % 51.90/8.48 | | | | (2076) $false % 51.90/8.48 | | | | % 51.90/8.48 | | | | CLOSE: (2076) is inconsistent. % 51.90/8.48 | | | | % 51.90/8.48 | | | Case 2: % 51.90/8.48 | | | | % 51.90/8.48 | | | | (2077) ~ (all_8_2 = all_8_6) % 51.90/8.48 | | | | % 51.90/8.48 | | | | BETA: splitting (64) gives: % 51.90/8.48 | | | | % 51.90/8.48 | | | | Case 1: % 51.90/8.48 | | | | | % 51.90/8.48 | | | | | (2078) ~ (all_21_1 = 0) % 51.90/8.48 | | | | | % 51.90/8.48 | | | | | BETA: splitting (68) gives: % 51.90/8.48 | | | | | % 51.90/8.48 | | | | | Case 1: % 51.90/8.48 | | | | | | % 51.90/8.48 | | | | | | (2079) ~ (all_23_1 = 0) % 51.90/8.48 | | | | | | % 51.90/8.48 | | | | | | BETA: splitting (72) gives: % 51.90/8.48 | | | | | | % 51.90/8.48 | | | | | | Case 1: % 51.90/8.48 | | | | | | | % 51.90/8.48 | | | | | | | (2080) ~ (all_25_1 = 0) % 51.90/8.48 | | | | | | | % 51.90/8.48 | | | | | | | BETA: splitting (185) gives: % 51.90/8.48 | | | | | | | % 51.90/8.48 | | | | | | | Case 1: % 51.90/8.48 | | | | | | | | % 51.90/8.48 | | | | | | | | (2081) all_25_1 = 0 % 51.90/8.48 | | | | | | | | % 51.90/8.48 | | | | | | | | REDUCE: (2080), (2081) imply: % 51.90/8.48 | | | | | | | | (2082) $false % 51.90/8.48 | | | | | | | | % 51.90/8.48 | | | | | | | | CLOSE: (2082) is inconsistent. % 51.90/8.48 | | | | | | | | % 51.90/8.48 | | | | | | | Case 2: % 51.90/8.48 | | | | | | | | % 51.90/8.48 | | | | | | | | (2083) ? [v0: $i] : ? [v1: $i] : (product(all_8_1, all_8_5) % 51.90/8.48 | | | | | | | | = v1 & product(all_8_5, all_8_1) = v0 & $i(v1) & % 51.90/8.48 | | | | | | | | $i(v0) & ( ~ (v1 = all_8_5) | ~ (v0 = all_8_1))) % 51.90/8.48 | | | | | | | | % 51.90/8.48 | | | | | | | | DELTA: instantiating (2083) with fresh symbols all_313_0, % 51.90/8.48 | | | | | | | | all_313_1 gives: % 51.90/8.48 | | | | | | | | (2084) product(all_8_1, all_8_5) = all_313_0 & % 51.90/8.48 | | | | | | | | product(all_8_5, all_8_1) = all_313_1 & $i(all_313_0) % 51.90/8.48 | | | | | | | | & $i(all_313_1) & ( ~ (all_313_0 = all_8_5) | ~ % 51.90/8.48 | | | | | | | | (all_313_1 = all_8_1)) % 51.90/8.48 | | | | | | | | % 51.90/8.48 | | | | | | | | ALPHA: (2084) implies: % 51.90/8.48 | | | | | | | | (2085) $i(all_313_1) % 51.90/8.48 | | | | | | | | (2086) product(all_8_5, all_8_1) = all_313_1 % 51.90/8.48 | | | | | | | | (2087) product(all_8_1, all_8_5) = all_313_0 % 51.90/8.48 | | | | | | | | (2088) ~ (all_313_0 = all_8_5) | ~ (all_313_1 = all_8_1) % 51.90/8.48 | | | | | | | | % 51.90/8.48 | | | | | | | | GROUND_INST: instantiating (17) with all_8_5, all_313_1, % 51.90/8.48 | | | | | | | | all_8_1, all_8_5, simplifying with (2074), (2086) % 51.90/8.48 | | | | | | | | gives: % 51.90/8.48 | | | | | | | | (2089) all_313_1 = all_8_5 % 51.90/8.48 | | | | | | | | % 51.90/8.48 | | | | | | | | GROUND_INST: instantiating (17) with all_8_1, all_313_0, % 51.90/8.48 | | | | | | | | all_8_5, all_8_1, simplifying with (443), (2087) % 51.90/8.48 | | | | | | | | gives: % 51.90/8.48 | | | | | | | | (2090) all_313_0 = all_8_1 % 51.90/8.48 | | | | | | | | % 51.90/8.48 | | | | | | | | BETA: splitting (2088) gives: % 51.90/8.48 | | | | | | | | % 51.90/8.48 | | | | | | | | Case 1: % 51.90/8.48 | | | | | | | | | % 51.90/8.48 | | | | | | | | | (2091) ~ (all_313_0 = all_8_5) % 51.90/8.48 | | | | | | | | | % 51.90/8.48 | | | | | | | | | REDUCE: (2090), (2091) imply: % 51.90/8.48 | | | | | | | | | (2092) ~ (all_8_1 = all_8_5) % 51.90/8.48 | | | | | | | | | % 51.90/8.48 | | | | | | | | | BETA: splitting (82) gives: % 51.90/8.48 | | | | | | | | | % 51.90/8.48 | | | | | | | | | Case 1: % 51.90/8.48 | | | | | | | | | | % 51.90/8.48 | | | | | | | | | | (2093) ~ (all_31_1 = 0) % 51.90/8.48 | | | | | | | | | | % 51.90/8.48 | | | | | | | | | | BETA: splitting (177) gives: % 51.90/8.48 | | | | | | | | | | % 51.90/8.48 | | | | | | | | | | Case 1: % 51.90/8.48 | | | | | | | | | | | % 51.90/8.48 | | | | | | | | | | | (2094) all_21_1 = 0 % 51.90/8.48 | | | | | | | | | | | % 51.90/8.48 | | | | | | | | | | | REDUCE: (2078), (2094) imply: % 51.90/8.48 | | | | | | | | | | | (2095) $false % 51.90/8.48 | | | | | | | | | | | % 51.90/8.48 | | | | | | | | | | | CLOSE: (2095) is inconsistent. % 51.90/8.48 | | | | | | | | | | | % 51.90/8.48 | | | | | | | | | | Case 2: % 51.90/8.48 | | | | | | | | | | | % 51.90/8.49 | | | | | | | | | | | (2096) ? [v0: $i] : ? [v1: $i] : (product(all_8_5, % 51.90/8.49 | | | | | | | | | | | all_8_6) = v1 & product(all_8_6, all_8_5) = v0 % 51.90/8.49 | | | | | | | | | | | & $i(v1) & $i(v0) & ( ~ (v1 = all_8_5) | ~ (v0 % 51.90/8.49 | | | | | | | | | | | = all_8_6))) % 51.90/8.49 | | | | | | | | | | | % 51.90/8.49 | | | | | | | | | | | DELTA: instantiating (2096) with fresh symbols all_343_0, % 51.90/8.49 | | | | | | | | | | | all_343_1 gives: % 51.90/8.49 | | | | | | | | | | | (2097) product(all_8_5, all_8_6) = all_343_0 & % 51.90/8.49 | | | | | | | | | | | product(all_8_6, all_8_5) = all_343_1 & % 51.90/8.49 | | | | | | | | | | | $i(all_343_0) & $i(all_343_1) & ( ~ (all_343_0 = % 51.90/8.49 | | | | | | | | | | | all_8_5) | ~ (all_343_1 = all_8_6)) % 51.90/8.49 | | | | | | | | | | | % 51.90/8.49 | | | | | | | | | | | ALPHA: (2097) implies: % 51.90/8.49 | | | | | | | | | | | (2098) product(all_8_6, all_8_5) = all_343_1 % 51.90/8.49 | | | | | | | | | | | (2099) product(all_8_5, all_8_6) = all_343_0 % 51.90/8.49 | | | | | | | | | | | (2100) ~ (all_343_0 = all_8_5) | ~ (all_343_1 = % 51.90/8.49 | | | | | | | | | | | all_8_6) % 51.90/8.49 | | | | | | | | | | | % 51.90/8.49 | | | | | | | | | | | GROUND_INST: instantiating (17) with all_8_1, all_343_1, % 51.90/8.49 | | | | | | | | | | | all_8_5, all_8_6, simplifying with (25), (2098) % 51.90/8.49 | | | | | | | | | | | gives: % 51.90/8.49 | | | | | | | | | | | (2101) all_343_1 = all_8_1 % 51.90/8.49 | | | | | | | | | | | % 51.90/8.49 | | | | | | | | | | | GROUND_INST: instantiating (17) with all_8_3, all_343_0, % 51.90/8.49 | | | | | | | | | | | all_8_6, all_8_5, simplifying with (27), (2099) % 51.90/8.49 | | | | | | | | | | | gives: % 51.90/8.49 | | | | | | | | | | | (2102) all_343_0 = all_8_3 % 51.90/8.49 | | | | | | | | | | | % 51.90/8.49 | | | | | | | | | | | BETA: splitting (179) gives: % 51.90/8.49 | | | | | | | | | | | % 51.90/8.49 | | | | | | | | | | | Case 1: % 51.90/8.49 | | | | | | | | | | | | % 51.90/8.49 | | | | | | | | | | | | (2103) all_31_1 = 0 % 51.90/8.49 | | | | | | | | | | | | % 51.90/8.49 | | | | | | | | | | | | REDUCE: (2093), (2103) imply: % 51.90/8.49 | | | | | | | | | | | | (2104) $false % 51.90/8.49 | | | | | | | | | | | | % 51.90/8.49 | | | | | | | | | | | | CLOSE: (2104) is inconsistent. % 51.90/8.49 | | | | | | | | | | | | % 51.90/8.49 | | | | | | | | | | | Case 2: % 51.90/8.49 | | | | | | | | | | | | % 51.90/8.49 | | | | | | | | | | | | (2105) ? [v0: $i] : ? [v1: $i] : (product(all_8_5, % 51.90/8.49 | | | | | | | | | | | | all_8_6) = v0 & product(all_8_6, all_8_5) = v1 % 51.90/8.49 | | | | | | | | | | | | & $i(v1) & $i(v0) & ( ~ (v1 = all_8_6) | ~ (v0 % 51.90/8.49 | | | | | | | | | | | | = all_8_5))) % 51.90/8.49 | | | | | | | | | | | | % 51.90/8.49 | | | | | | | | | | | | DELTA: instantiating (2105) with fresh symbols all_355_0, % 51.90/8.49 | | | | | | | | | | | | all_355_1 gives: % 51.90/8.49 | | | | | | | | | | | | (2106) product(all_8_5, all_8_6) = all_355_1 & % 51.90/8.49 | | | | | | | | | | | | product(all_8_6, all_8_5) = all_355_0 & % 51.90/8.49 | | | | | | | | | | | | $i(all_355_0) & $i(all_355_1) & ( ~ (all_355_0 = % 51.90/8.49 | | | | | | | | | | | | all_8_6) | ~ (all_355_1 = all_8_5)) % 51.90/8.49 | | | | | | | | | | | | % 51.90/8.49 | | | | | | | | | | | | ALPHA: (2106) implies: % 51.90/8.49 | | | | | | | | | | | | (2107) $i(all_355_1) % 51.90/8.49 | | | | | | | | | | | | (2108) $i(all_355_0) % 51.90/8.49 | | | | | | | | | | | | (2109) product(all_8_6, all_8_5) = all_355_0 % 51.90/8.49 | | | | | | | | | | | | (2110) product(all_8_5, all_8_6) = all_355_1 % 51.90/8.49 | | | | | | | | | | | | % 51.90/8.49 | | | | | | | | | | | | GROUND_INST: instantiating (17) with all_8_1, all_355_0, % 51.90/8.49 | | | | | | | | | | | | all_8_5, all_8_6, simplifying with (25), (2109) % 51.90/8.49 | | | | | | | | | | | | gives: % 51.90/8.49 | | | | | | | | | | | | (2111) all_355_0 = all_8_1 % 51.90/8.49 | | | | | | | | | | | | % 51.90/8.49 | | | | | | | | | | | | GROUND_INST: instantiating (17) with all_8_3, all_355_1, % 51.90/8.49 | | | | | | | | | | | | all_8_6, all_8_5, simplifying with (27), (2110) % 51.90/8.49 | | | | | | | | | | | | gives: % 51.90/8.49 | | | | | | | | | | | | (2112) all_355_1 = all_8_3 % 51.90/8.49 | | | | | | | | | | | | % 51.90/8.49 | | | | | | | | | | | | GROUND_INST: instantiating (1) with all_8_1, all_8_5, all_8_1, % 51.90/8.49 | | | | | | | | | | | | all_8_5, all_8_1, simplifying with (22), (24), % 51.90/8.49 | | | | | | | | | | | | (443), (2074) gives: % 51.90/8.49 | | | | | | | | | | | | (2113) ? [v0: $i] : (product(v0, all_8_1) = all_8_1 & % 51.90/8.49 | | | | | | | | | | | | product(all_8_1, all_8_5) = v0 & $i(v0)) % 51.90/8.49 | | | | | | | | | | | | % 51.90/8.49 | | | | | | | | | | | | GROUND_INST: instantiating (2) with all_8_3, all_8_1, all_8_5, % 51.90/8.49 | | | | | | | | | | | | all_8_5, all_8_3, simplifying with (22), (23), % 51.90/8.49 | | | | | | | | | | | | (24), (448), (2074) gives: % 51.90/8.49 | | | | | | | | | | | | (2114) ? [v0: $i] : (product(all_8_1, all_8_3) = v0 & % 51.90/8.49 | | | | | | | | | | | | product(all_8_5, v0) = all_8_3 & $i(v0)) % 51.90/8.49 | | | | | | | | | | | | % 51.90/8.49 | | | | | | | | | | | | GROUND_INST: instantiating (2) with all_8_6, all_8_1, all_8_5, % 51.90/8.49 | | | | | | | | | | | | all_8_5, all_8_3, simplifying with (21), (22), % 51.90/8.49 | | | | | | | | | | | | (24), (27), (2074) gives: % 51.90/8.49 | | | | | | | | | | | | (2115) ? [v0: $i] : (product(all_8_1, all_8_6) = v0 & % 51.90/8.49 | | | | | | | | | | | | product(all_8_5, v0) = all_8_3 & $i(v0) & % 51.90/8.49 | | | | | | | | | | | | $i(all_8_3)) % 51.90/8.49 | | | | | | | | | | | | % 51.90/8.49 | | | | | | | | | | | | GROUND_INST: instantiating (1) with all_8_1, all_8_5, all_8_6, % 51.90/8.49 | | | | | | | | | | | | all_8_5, all_8_1, simplifying with (21), (22), % 51.90/8.49 | | | | | | | | | | | | (24), (25), (2074) gives: % 51.90/8.49 | | | | | | | | | | | | (2116) ? [v0: $i] : (product(v0, all_8_1) = all_8_1 & % 51.90/8.49 | | | | | | | | | | | | product(all_8_6, all_8_5) = v0 & $i(v0)) % 51.90/8.49 | | | | | | | | | | | | % 51.90/8.49 | | | | | | | | | | | | GROUND_INST: instantiating (2) with all_8_1, all_8_1, all_8_5, % 51.90/8.49 | | | | | | | | | | | | all_8_5, all_8_5, simplifying with (22), (24), % 51.90/8.49 | | | | | | | | | | | | (2074) gives: % 51.90/8.49 | | | | | | | | | | | | (2117) ? [v0: $i] : (product(all_8_1, all_8_1) = v0 & % 51.90/8.49 | | | | | | | | | | | | product(all_8_5, v0) = all_8_5 & $i(v0)) % 51.90/8.49 | | | | | | | | | | | | % 51.90/8.49 | | | | | | | | | | | | GROUND_INST: instantiating (1) with all_8_5, all_8_3, all_8_1, % 51.90/8.49 | | | | | | | | | | | | all_8_5, all_8_1, simplifying with (22), (23), % 51.90/8.49 | | | | | | | | | | | | (24), (443), (2073) gives: % 51.90/8.49 | | | | | | | | | | | | (2118) ? [v0: $i] : (product(v0, all_8_5) = all_8_1 & % 51.90/8.49 | | | | | | | | | | | | product(all_8_1, all_8_3) = v0 & $i(v0)) % 51.90/8.49 | | | | | | | | | | | | % 51.90/8.49 | | | | | | | | | | | | GROUND_INST: instantiating (2) with all_8_3, all_8_5, all_8_3, % 51.90/8.49 | | | | | | | | | | | | all_8_5, all_8_3, simplifying with (22), (23), % 51.90/8.49 | | | | | | | | | | | | (448), (2073) gives: % 51.90/8.49 | | | | | | | | | | | | (2119) ? [v0: $i] : (product(all_8_3, v0) = all_8_3 & % 51.90/8.49 | | | | | | | | | | | | product(all_8_5, all_8_3) = v0 & $i(v0)) % 51.90/8.49 | | | | | | | | | | | | % 51.90/8.49 | | | | | | | | | | | | GROUND_INST: instantiating (2) with all_8_6, all_8_5, all_8_3, % 51.90/8.49 | | | | | | | | | | | | all_8_5, all_8_3, simplifying with (21), (22), % 51.90/8.49 | | | | | | | | | | | | (23), (27), (2073) gives: % 51.90/8.49 | | | | | | | | | | | | (2120) ? [v0: $i] : (product(all_8_3, v0) = all_8_3 & % 51.90/8.49 | | | | | | | | | | | | product(all_8_5, all_8_6) = v0 & $i(v0)) % 51.90/8.49 | | | | | | | | | | | | % 51.90/8.49 | | | | | | | | | | | | GROUND_INST: instantiating (1) with all_8_5, all_8_3, all_8_6, % 51.90/8.49 | | | | | | | | | | | | all_8_5, all_8_1, simplifying with (21), (22), % 51.90/8.49 | | | | | | | | | | | | (23), (25), (2073) gives: % 51.90/8.49 | | | | | | | | | | | | (2121) ? [v0: $i] : (product(v0, all_8_5) = all_8_1 & % 51.90/8.49 | | | | | | | | | | | | product(all_8_6, all_8_3) = v0 & $i(v0) & % 51.90/8.49 | | | | | | | | | | | | $i(all_8_1)) % 51.90/8.49 | | | | | | | | | | | | % 51.90/8.49 | | | | | | | | | | | | GROUND_INST: instantiating (1) with all_8_5, all_8_3, all_8_3, % 51.90/8.49 | | | | | | | | | | | | all_8_5, all_8_5, simplifying with (22), (23), % 51.90/8.49 | | | | | | | | | | | | (2073) gives: % 51.90/8.49 | | | | | | | | | | | | (2122) ? [v0: $i] : (product(v0, all_8_5) = all_8_5 & % 51.90/8.49 | | | | | | | | | | | | product(all_8_3, all_8_3) = v0 & $i(v0)) % 51.90/8.49 | | | | | | | | | | | | % 51.90/8.49 | | | | | | | | | | | | GROUND_INST: instantiating (1) with all_8_1, all_8_3, all_8_1, % 51.90/8.49 | | | | | | | | | | | | all_8_5, all_8_1, simplifying with (23), (24), % 51.90/8.49 | | | | | | | | | | | | (443), (2072) gives: % 51.90/8.49 | | | | | | | | | | | | (2123) ? [v0: $i] : (product(v0, all_8_1) = all_8_1 & % 51.90/8.49 | | | | | | | | | | | | product(all_8_1, all_8_3) = v0 & $i(v0)) % 51.90/8.49 | | | | | | | | | | | | % 51.90/8.49 | | | | | | | | | | | | GROUND_INST: instantiating (2) with all_8_3, all_8_1, all_8_3, % 51.90/8.49 | | | | | | | | | | | | all_8_5, all_8_3, simplifying with (23), (24), % 51.90/8.49 | | | | | | | | | | | | (448), (2072) gives: % 51.90/8.49 | | | | | | | | | | | | (2124) ? [v0: $i] : (product(all_8_1, all_8_3) = v0 & % 51.90/8.49 | | | | | | | | | | | | product(all_8_3, v0) = all_8_3 & $i(v0)) % 51.90/8.49 | | | | | | | | | | | | % 51.90/8.49 | | | | | | | | | | | | GROUND_INST: instantiating (2) with all_8_6, all_8_1, all_8_3, % 51.90/8.49 | | | | | | | | | | | | all_8_5, all_8_3, simplifying with (21), (23), % 51.90/8.49 | | | | | | | | | | | | (24), (27), (2072) gives: % 51.90/8.49 | | | | | | | | | | | | (2125) ? [v0: $i] : (product(all_8_1, all_8_6) = v0 & % 51.90/8.49 | | | | | | | | | | | | product(all_8_3, v0) = all_8_3 & $i(v0)) % 51.90/8.49 | | | | | | | | | | | | % 51.90/8.49 | | | | | | | | | | | | GROUND_INST: instantiating (1) with all_8_1, all_8_3, all_8_6, % 51.90/8.49 | | | | | | | | | | | | all_8_5, all_8_1, simplifying with (21), (23), % 51.90/8.49 | | | | | | | | | | | | (24), (25), (2072) gives: % 51.90/8.49 | | | | | | | | | | | | (2126) ? [v0: $i] : (product(v0, all_8_1) = all_8_1 & % 51.90/8.49 | | | | | | | | | | | | product(all_8_6, all_8_3) = v0 & $i(v0)) % 51.90/8.49 | | | | | | | | | | | | % 51.90/8.49 | | | | | | | | | | | | GROUND_INST: instantiating (1) with all_8_1, all_8_3, all_8_3, % 51.90/8.49 | | | | | | | | | | | | all_8_5, all_8_5, simplifying with (23), (24), % 51.90/8.49 | | | | | | | | | | | | (2072), (2073) gives: % 51.90/8.49 | | | | | | | | | | | | (2127) ? [v0: $i] : (product(v0, all_8_1) = all_8_5 & % 51.90/8.49 | | | | | | | | | | | | product(all_8_3, all_8_3) = v0 & $i(v0) & % 51.90/8.49 | | | | | | | | | | | | $i(all_8_5)) % 51.90/8.49 | | | | | | | | | | | | % 51.90/8.49 | | | | | | | | | | | | GROUND_INST: instantiating (2) with all_8_1, all_8_1, all_8_3, % 51.90/8.49 | | | | | | | | | | | | all_8_5, all_8_5, simplifying with (23), (24), % 51.90/8.49 | | | | | | | | | | | | (2072), (2074) gives: % 51.90/8.49 | | | | | | | | | | | | (2128) ? [v0: $i] : (product(all_8_1, all_8_1) = v0 & % 51.90/8.49 | | | | | | | | | | | | product(all_8_3, v0) = all_8_5 & $i(v0) & % 51.90/8.49 | | | | | | | | | | | | $i(all_8_5)) % 51.90/8.49 | | | | | | | | | | | | % 51.90/8.49 | | | | | | | | | | | | GROUND_INST: instantiating (13) with all_8_1, all_8_3, all_8_5, % 51.90/8.49 | | | | | | | | | | | | simplifying with (23), (24), (2072) gives: % 51.90/8.49 | | | | | | | | | | | | (2129) ? [v0: any] : ? [v1: $i] : (r(all_8_1, all_8_3) % 51.90/8.49 | | | | | | | | | | | | = v0 & product(all_8_1, all_8_3) = v1 & $i(v1) & % 51.90/8.49 | | | | | | | | | | | | ( ~ (v0 = 0) | (v1 = all_8_3 & all_8_1 = % 51.90/8.49 | | | | | | | | | | | | all_8_5))) % 51.90/8.49 | | | | | | | | | | | | % 51.90/8.49 | | | | | | | | | | | | GROUND_INST: instantiating (7) with all_8_1, all_8_3, all_8_5, % 51.90/8.49 | | | | | | | | | | | | simplifying with (23), (24), (2072) gives: % 51.90/8.49 | | | | | | | | | | | | (2130) ? [v0: any] : ? [v1: $i] : (l(all_8_1, all_8_3) % 51.90/8.49 | | | | | | | | | | | | = v0 & product(all_8_1, all_8_3) = v1 & $i(v1) & % 51.90/8.49 | | | | | | | | | | | | ( ~ (v0 = 0) | (v1 = all_8_1 & all_8_3 = % 51.90/8.49 | | | | | | | | | | | | all_8_5))) % 51.90/8.49 | | | | | | | | | | | | % 51.90/8.49 | | | | | | | | | | | | GROUND_INST: instantiating (12) with all_8_3, all_8_1, all_8_5, % 51.90/8.49 | | | | | | | | | | | | simplifying with (23), (24), (2072) gives: % 51.90/8.49 | | | | | | | | | | | | (2131) ? [v0: any] : ? [v1: $i] : (r(all_8_3, all_8_1) % 51.90/8.49 | | | | | | | | | | | | = v0 & product(all_8_1, all_8_3) = v1 & $i(v1) & % 51.90/8.49 | | | | | | | | | | | | ( ~ (v0 = 0) | (v1 = all_8_3 & all_8_1 = % 51.90/8.49 | | | | | | | | | | | | all_8_5))) % 51.90/8.49 | | | | | | | | | | | | % 51.90/8.49 | | | | | | | | | | | | GROUND_INST: instantiating (6) with all_8_3, all_8_1, all_8_5, % 51.90/8.49 | | | | | | | | | | | | simplifying with (23), (24), (2072) gives: % 51.90/8.49 | | | | | | | | | | | | (2132) ? [v0: any] : ? [v1: $i] : (l(all_8_3, all_8_1) % 51.90/8.49 | | | | | | | | | | | | = v0 & product(all_8_1, all_8_3) = v1 & $i(v1) & % 51.90/8.49 | | | | | | | | | | | | ( ~ (v0 = 0) | (v1 = all_8_1 & all_8_3 = % 51.90/8.49 | | | | | | | | | | | | all_8_5))) % 51.90/8.49 | | | | | | | | | | | | % 51.90/8.49 | | | | | | | | | | | | GROUND_INST: instantiating (13) with all_8_3, all_8_1, all_8_2, % 51.90/8.49 | | | | | | | | | | | | simplifying with (23), (24), (600) gives: % 51.90/8.50 | | | | | | | | | | | | (2133) ? [v0: any] : ? [v1: $i] : (r(all_8_3, all_8_1) % 51.90/8.50 | | | | | | | | | | | | = v0 & product(all_8_3, all_8_1) = v1 & $i(v1) & % 51.90/8.50 | | | | | | | | | | | | ( ~ (v0 = 0) | (v1 = all_8_1 & all_8_2 = % 51.90/8.50 | | | | | | | | | | | | all_8_3))) % 51.90/8.50 | | | | | | | | | | | | % 51.90/8.50 | | | | | | | | | | | | GROUND_INST: instantiating (7) with all_8_3, all_8_1, all_8_2, % 51.90/8.50 | | | | | | | | | | | | simplifying with (23), (24), (600) gives: % 51.90/8.50 | | | | | | | | | | | | (2134) ? [v0: any] : ? [v1: $i] : (l(all_8_3, all_8_1) % 51.90/8.50 | | | | | | | | | | | | = v0 & product(all_8_3, all_8_1) = v1 & $i(v1) & % 51.90/8.50 | | | | | | | | | | | | ( ~ (v0 = 0) | (v1 = all_8_3 & all_8_1 = % 51.90/8.50 | | | | | | | | | | | | all_8_2))) % 51.90/8.50 | | | | | | | | | | | | % 51.90/8.50 | | | | | | | | | | | | GROUND_INST: instantiating (12) with all_8_1, all_8_3, all_8_2, % 51.90/8.50 | | | | | | | | | | | | simplifying with (23), (24), (600) gives: % 51.90/8.50 | | | | | | | | | | | | (2135) ? [v0: any] : ? [v1: $i] : (r(all_8_1, all_8_3) % 51.90/8.50 | | | | | | | | | | | | = v0 & product(all_8_3, all_8_1) = v1 & $i(v1) & % 51.90/8.50 | | | | | | | | | | | | ( ~ (v0 = 0) | (v1 = all_8_1 & all_8_2 = % 51.90/8.50 | | | | | | | | | | | | all_8_3))) % 51.90/8.50 | | | | | | | | | | | | % 51.90/8.50 | | | | | | | | | | | | GROUND_INST: instantiating (6) with all_8_1, all_8_3, all_8_2, % 51.90/8.50 | | | | | | | | | | | | simplifying with (23), (24), (600) gives: % 51.90/8.50 | | | | | | | | | | | | (2136) ? [v0: any] : ? [v1: $i] : (l(all_8_1, all_8_3) % 51.90/8.50 | | | | | | | | | | | | = v0 & product(all_8_3, all_8_1) = v1 & $i(v1) & % 51.90/8.50 | | | | | | | | | | | | ( ~ (v0 = 0) | (v1 = all_8_3 & all_8_1 = % 51.90/8.50 | | | | | | | | | | | | all_8_2))) % 51.90/8.50 | | | | | | | | | | | | % 51.90/8.50 | | | | | | | | | | | | GROUND_INST: instantiating (15) with all_8_6, all_8_5, % 51.90/8.50 | | | | | | | | | | | | simplifying with (21), (22), (680) gives: % 51.90/8.50 | | | | | | | | | | | | (2137) ? [v0: $i] : (r(all_8_6, v0) = 0 & l(v0, all_8_5) % 51.90/8.50 | | | | | | | | | | | | = 0 & $i(v0)) % 51.90/8.50 | | | | | | | | | | | | % 51.90/8.50 | | | | | | | | | | | | DELTA: instantiating (2137) with fresh symbol all_366_0 % 51.90/8.50 | | | | | | | | | | | | gives: % 51.90/8.50 | | | | | | | | | | | | (2138) r(all_8_6, all_366_0) = 0 & l(all_366_0, all_8_5) % 51.90/8.50 | | | | | | | | | | | | = 0 & $i(all_366_0) % 51.90/8.50 | | | | | | | | | | | | % 51.90/8.50 | | | | | | | | | | | | ALPHA: (2138) implies: % 51.90/8.50 | | | | | | | | | | | | (2139) $i(all_366_0) % 51.90/8.50 | | | | | | | | | | | | (2140) l(all_366_0, all_8_5) = 0 % 51.90/8.50 | | | | | | | | | | | | (2141) r(all_8_6, all_366_0) = 0 % 51.90/8.50 | | | | | | | | | | | | % 51.90/8.50 | | | | | | | | | | | | DELTA: instantiating (2126) with fresh symbol all_368_0 % 51.90/8.50 | | | | | | | | | | | | gives: % 51.90/8.50 | | | | | | | | | | | | (2142) product(all_368_0, all_8_1) = all_8_1 & % 51.90/8.50 | | | | | | | | | | | | product(all_8_6, all_8_3) = all_368_0 & % 51.90/8.50 | | | | | | | | | | | | $i(all_368_0) % 51.90/8.50 | | | | | | | | | | | | % 51.90/8.50 | | | | | | | | | | | | ALPHA: (2142) implies: % 51.90/8.50 | | | | | | | | | | | | (2143) $i(all_368_0) % 51.90/8.50 | | | | | | | | | | | | (2144) product(all_8_6, all_8_3) = all_368_0 % 51.90/8.50 | | | | | | | | | | | | (2145) product(all_368_0, all_8_1) = all_8_1 % 51.90/8.50 | | | | | | | | | | | | % 51.90/8.50 | | | | | | | | | | | | DELTA: instantiating (2125) with fresh symbol all_370_0 % 51.90/8.50 | | | | | | | | | | | | gives: % 51.90/8.50 | | | | | | | | | | | | (2146) product(all_8_1, all_8_6) = all_370_0 & % 51.90/8.50 | | | | | | | | | | | | product(all_8_3, all_370_0) = all_8_3 & % 51.90/8.50 | | | | | | | | | | | | $i(all_370_0) % 51.90/8.50 | | | | | | | | | | | | % 51.90/8.50 | | | | | | | | | | | | ALPHA: (2146) implies: % 51.90/8.50 | | | | | | | | | | | | (2147) product(all_8_3, all_370_0) = all_8_3 % 51.90/8.50 | | | | | | | | | | | | (2148) product(all_8_1, all_8_6) = all_370_0 % 51.90/8.50 | | | | | | | | | | | | % 51.90/8.50 | | | | | | | | | | | | DELTA: instantiating (2114) with fresh symbol all_372_0 % 51.90/8.50 | | | | | | | | | | | | gives: % 51.90/8.50 | | | | | | | | | | | | (2149) product(all_8_1, all_8_3) = all_372_0 & % 51.90/8.50 | | | | | | | | | | | | product(all_8_5, all_372_0) = all_8_3 & % 51.90/8.50 | | | | | | | | | | | | $i(all_372_0) % 51.90/8.50 | | | | | | | | | | | | % 51.90/8.50 | | | | | | | | | | | | ALPHA: (2149) implies: % 51.90/8.50 | | | | | | | | | | | | (2150) product(all_8_5, all_372_0) = all_8_3 % 51.90/8.50 | | | | | | | | | | | | (2151) product(all_8_1, all_8_3) = all_372_0 % 51.90/8.50 | | | | | | | | | | | | % 51.90/8.50 | | | | | | | | | | | | DELTA: instantiating (2113) with fresh symbol all_374_0 % 51.90/8.50 | | | | | | | | | | | | gives: % 51.90/8.50 | | | | | | | | | | | | (2152) product(all_374_0, all_8_1) = all_8_1 & % 51.90/8.50 | | | | | | | | | | | | product(all_8_1, all_8_5) = all_374_0 & % 51.90/8.50 | | | | | | | | | | | | $i(all_374_0) % 51.90/8.50 | | | | | | | | | | | | % 51.90/8.50 | | | | | | | | | | | | ALPHA: (2152) implies: % 51.90/8.50 | | | | | | | | | | | | (2153) product(all_8_1, all_8_5) = all_374_0 % 51.90/8.50 | | | | | | | | | | | | (2154) product(all_374_0, all_8_1) = all_8_1 % 51.90/8.50 | | | | | | | | | | | | % 51.90/8.50 | | | | | | | | | | | | DELTA: instantiating (2124) with fresh symbol all_376_0 % 51.90/8.50 | | | | | | | | | | | | gives: % 51.90/8.50 | | | | | | | | | | | | (2155) product(all_8_1, all_8_3) = all_376_0 & % 51.90/8.50 | | | | | | | | | | | | product(all_8_3, all_376_0) = all_8_3 & % 51.90/8.50 | | | | | | | | | | | | $i(all_376_0) % 51.90/8.50 | | | | | | | | | | | | % 51.90/8.50 | | | | | | | | | | | | ALPHA: (2155) implies: % 51.90/8.50 | | | | | | | | | | | | (2156) product(all_8_1, all_8_3) = all_376_0 % 51.90/8.50 | | | | | | | | | | | | % 51.90/8.50 | | | | | | | | | | | | DELTA: instantiating (2122) with fresh symbol all_378_0 % 51.90/8.50 | | | | | | | | | | | | gives: % 51.90/8.50 | | | | | | | | | | | | (2157) product(all_378_0, all_8_5) = all_8_5 & % 51.90/8.50 | | | | | | | | | | | | product(all_8_3, all_8_3) = all_378_0 & % 51.90/8.50 | | | | | | | | | | | | $i(all_378_0) % 51.90/8.50 | | | | | | | | | | | | % 51.90/8.50 | | | | | | | | | | | | ALPHA: (2157) implies: % 51.90/8.50 | | | | | | | | | | | | (2158) product(all_8_3, all_8_3) = all_378_0 % 51.90/8.50 | | | | | | | | | | | | (2159) product(all_378_0, all_8_5) = all_8_5 % 51.90/8.50 | | | | | | | | | | | | % 51.90/8.50 | | | | | | | | | | | | DELTA: instantiating (2118) with fresh symbol all_380_0 % 51.90/8.50 | | | | | | | | | | | | gives: % 51.90/8.50 | | | | | | | | | | | | (2160) product(all_380_0, all_8_5) = all_8_1 & % 51.90/8.50 | | | | | | | | | | | | product(all_8_1, all_8_3) = all_380_0 & % 51.90/8.50 | | | | | | | | | | | | $i(all_380_0) % 51.90/8.50 | | | | | | | | | | | | % 51.90/8.50 | | | | | | | | | | | | ALPHA: (2160) implies: % 51.90/8.50 | | | | | | | | | | | | (2161) product(all_8_1, all_8_3) = all_380_0 % 51.90/8.50 | | | | | | | | | | | | (2162) product(all_380_0, all_8_5) = all_8_1 % 51.90/8.50 | | | | | | | | | | | | % 51.90/8.50 | | | | | | | | | | | | DELTA: instantiating (2117) with fresh symbol all_382_0 % 51.90/8.50 | | | | | | | | | | | | gives: % 51.90/8.50 | | | | | | | | | | | | (2163) product(all_8_1, all_8_1) = all_382_0 & % 51.90/8.50 | | | | | | | | | | | | product(all_8_5, all_382_0) = all_8_5 & % 51.90/8.50 | | | | | | | | | | | | $i(all_382_0) % 51.90/8.50 | | | | | | | | | | | | % 51.90/8.50 | | | | | | | | | | | | ALPHA: (2163) implies: % 51.90/8.50 | | | | | | | | | | | | (2164) product(all_8_5, all_382_0) = all_8_5 % 51.90/8.50 | | | | | | | | | | | | (2165) product(all_8_1, all_8_1) = all_382_0 % 51.90/8.50 | | | | | | | | | | | | % 51.90/8.50 | | | | | | | | | | | | DELTA: instantiating (2116) with fresh symbol all_384_0 % 51.90/8.50 | | | | | | | | | | | | gives: % 51.90/8.50 | | | | | | | | | | | | (2166) product(all_384_0, all_8_1) = all_8_1 & % 51.90/8.50 | | | | | | | | | | | | product(all_8_6, all_8_5) = all_384_0 & % 51.90/8.50 | | | | | | | | | | | | $i(all_384_0) % 51.90/8.50 | | | | | | | | | | | | % 51.90/8.50 | | | | | | | | | | | | ALPHA: (2166) implies: % 51.90/8.50 | | | | | | | | | | | | (2167) product(all_8_6, all_8_5) = all_384_0 % 51.90/8.50 | | | | | | | | | | | | % 51.90/8.50 | | | | | | | | | | | | DELTA: instantiating (2123) with fresh symbol all_386_0 % 51.90/8.50 | | | | | | | | | | | | gives: % 51.90/8.50 | | | | | | | | | | | | (2168) product(all_386_0, all_8_1) = all_8_1 & % 51.90/8.50 | | | | | | | | | | | | product(all_8_1, all_8_3) = all_386_0 & % 51.90/8.50 | | | | | | | | | | | | $i(all_386_0) % 51.90/8.50 | | | | | | | | | | | | % 51.90/8.50 | | | | | | | | | | | | ALPHA: (2168) implies: % 51.90/8.50 | | | | | | | | | | | | (2169) product(all_8_1, all_8_3) = all_386_0 % 51.90/8.50 | | | | | | | | | | | | % 51.90/8.50 | | | | | | | | | | | | DELTA: instantiating (2120) with fresh symbol all_388_0 % 51.90/8.50 | | | | | | | | | | | | gives: % 51.90/8.50 | | | | | | | | | | | | (2170) product(all_8_3, all_388_0) = all_8_3 & % 51.90/8.50 | | | | | | | | | | | | product(all_8_5, all_8_6) = all_388_0 & % 51.90/8.50 | | | | | | | | | | | | $i(all_388_0) % 51.90/8.50 | | | | | | | | | | | | % 51.90/8.50 | | | | | | | | | | | | ALPHA: (2170) implies: % 51.90/8.50 | | | | | | | | | | | | (2171) product(all_8_5, all_8_6) = all_388_0 % 51.90/8.50 | | | | | | | | | | | | (2172) product(all_8_3, all_388_0) = all_8_3 % 51.90/8.50 | | | | | | | | | | | | % 51.90/8.50 | | | | | | | | | | | | DELTA: instantiating (2119) with fresh symbol all_390_0 % 51.90/8.50 | | | | | | | | | | | | gives: % 51.90/8.50 | | | | | | | | | | | | (2173) product(all_8_3, all_390_0) = all_8_3 & % 51.90/8.50 | | | | | | | | | | | | product(all_8_5, all_8_3) = all_390_0 & % 51.90/8.50 | | | | | | | | | | | | $i(all_390_0) % 51.90/8.50 | | | | | | | | | | | | % 51.90/8.50 | | | | | | | | | | | | ALPHA: (2173) implies: % 51.90/8.50 | | | | | | | | | | | | (2174) product(all_8_5, all_8_3) = all_390_0 % 51.90/8.50 | | | | | | | | | | | | % 51.90/8.50 | | | | | | | | | | | | DELTA: instantiating (2128) with fresh symbol all_392_0 % 51.90/8.50 | | | | | | | | | | | | gives: % 51.90/8.50 | | | | | | | | | | | | (2175) product(all_8_1, all_8_1) = all_392_0 & % 51.90/8.50 | | | | | | | | | | | | product(all_8_3, all_392_0) = all_8_5 & % 51.90/8.50 | | | | | | | | | | | | $i(all_392_0) & $i(all_8_5) % 51.90/8.50 | | | | | | | | | | | | % 51.90/8.50 | | | | | | | | | | | | ALPHA: (2175) implies: % 51.90/8.50 | | | | | | | | | | | | (2176) $i(all_392_0) % 51.90/8.50 | | | | | | | | | | | | (2177) product(all_8_3, all_392_0) = all_8_5 % 51.90/8.50 | | | | | | | | | | | | (2178) product(all_8_1, all_8_1) = all_392_0 % 51.90/8.50 | | | | | | | | | | | | % 51.90/8.50 | | | | | | | | | | | | DELTA: instantiating (2127) with fresh symbol all_394_0 % 51.90/8.50 | | | | | | | | | | | | gives: % 51.90/8.50 | | | | | | | | | | | | (2179) product(all_394_0, all_8_1) = all_8_5 & % 51.90/8.50 | | | | | | | | | | | | product(all_8_3, all_8_3) = all_394_0 & % 51.90/8.50 | | | | | | | | | | | | $i(all_394_0) & $i(all_8_5) % 51.90/8.50 | | | | | | | | | | | | % 51.90/8.50 | | | | | | | | | | | | ALPHA: (2179) implies: % 51.90/8.50 | | | | | | | | | | | | (2180) $i(all_394_0) % 51.90/8.50 | | | | | | | | | | | | (2181) product(all_8_3, all_8_3) = all_394_0 % 51.90/8.50 | | | | | | | | | | | | % 51.90/8.50 | | | | | | | | | | | | DELTA: instantiating (2121) with fresh symbol all_396_0 % 51.90/8.50 | | | | | | | | | | | | gives: % 51.90/8.50 | | | | | | | | | | | | (2182) product(all_396_0, all_8_5) = all_8_1 & % 51.90/8.50 | | | | | | | | | | | | product(all_8_6, all_8_3) = all_396_0 & % 51.90/8.50 | | | | | | | | | | | | $i(all_396_0) & $i(all_8_1) % 51.90/8.50 | | | | | | | | | | | | % 51.90/8.50 | | | | | | | | | | | | ALPHA: (2182) implies: % 51.90/8.50 | | | | | | | | | | | | (2183) product(all_8_6, all_8_3) = all_396_0 % 51.90/8.50 | | | | | | | | | | | | % 51.90/8.50 | | | | | | | | | | | | DELTA: instantiating (2115) with fresh symbol all_398_0 % 51.90/8.50 | | | | | | | | | | | | gives: % 51.90/8.50 | | | | | | | | | | | | (2184) product(all_8_1, all_8_6) = all_398_0 & % 51.90/8.50 | | | | | | | | | | | | product(all_8_5, all_398_0) = all_8_3 & % 51.90/8.50 | | | | | | | | | | | | $i(all_398_0) & $i(all_8_3) % 51.90/8.50 | | | | | | | | | | | | % 51.90/8.50 | | | | | | | | | | | | ALPHA: (2184) implies: % 51.90/8.50 | | | | | | | | | | | | (2185) product(all_8_1, all_8_6) = all_398_0 % 51.90/8.50 | | | | | | | | | | | | % 51.90/8.50 | | | | | | | | | | | | DELTA: instantiating (2136) with fresh symbols all_420_0, % 51.90/8.50 | | | | | | | | | | | | all_420_1 gives: % 51.90/8.50 | | | | | | | | | | | | (2186) l(all_8_1, all_8_3) = all_420_1 & product(all_8_3, % 51.90/8.50 | | | | | | | | | | | | all_8_1) = all_420_0 & $i(all_420_0) & ( ~ % 51.90/8.50 | | | | | | | | | | | | (all_420_1 = 0) | (all_420_0 = all_8_3 & all_8_1 % 51.90/8.50 | | | | | | | | | | | | = all_8_2)) % 51.90/8.50 | | | | | | | | | | | | % 51.90/8.50 | | | | | | | | | | | | ALPHA: (2186) implies: % 51.90/8.50 | | | | | | | | | | | | (2187) product(all_8_3, all_8_1) = all_420_0 % 51.90/8.50 | | | | | | | | | | | | (2188) ~ (all_420_1 = 0) | (all_420_0 = all_8_3 & % 51.90/8.50 | | | | | | | | | | | | all_8_1 = all_8_2) % 51.90/8.50 | | | | | | | | | | | | % 51.90/8.50 | | | | | | | | | | | | DELTA: instantiating (2135) with fresh symbols all_422_0, % 51.90/8.50 | | | | | | | | | | | | all_422_1 gives: % 51.90/8.50 | | | | | | | | | | | | (2189) r(all_8_1, all_8_3) = all_422_1 & product(all_8_3, % 51.90/8.50 | | | | | | | | | | | | all_8_1) = all_422_0 & $i(all_422_0) & ( ~ % 51.90/8.50 | | | | | | | | | | | | (all_422_1 = 0) | (all_422_0 = all_8_1 & all_8_2 % 51.90/8.50 | | | | | | | | | | | | = all_8_3)) % 51.90/8.50 | | | | | | | | | | | | % 51.90/8.50 | | | | | | | | | | | | ALPHA: (2189) implies: % 51.90/8.50 | | | | | | | | | | | | (2190) product(all_8_3, all_8_1) = all_422_0 % 51.90/8.50 | | | | | | | | | | | | % 51.90/8.50 | | | | | | | | | | | | DELTA: instantiating (2130) with fresh symbols all_426_0, % 51.90/8.50 | | | | | | | | | | | | all_426_1 gives: % 51.90/8.50 | | | | | | | | | | | | (2191) l(all_8_1, all_8_3) = all_426_1 & product(all_8_1, % 51.90/8.50 | | | | | | | | | | | | all_8_3) = all_426_0 & $i(all_426_0) & ( ~ % 51.90/8.50 | | | | | | | | | | | | (all_426_1 = 0) | (all_426_0 = all_8_1 & all_8_3 % 51.90/8.50 | | | | | | | | | | | | = all_8_5)) % 51.90/8.50 | | | | | | | | | | | | % 51.90/8.50 | | | | | | | | | | | | ALPHA: (2191) implies: % 51.90/8.50 | | | | | | | | | | | | (2192) product(all_8_1, all_8_3) = all_426_0 % 51.90/8.50 | | | | | | | | | | | | % 51.90/8.50 | | | | | | | | | | | | DELTA: instantiating (2134) with fresh symbols all_428_0, % 51.90/8.50 | | | | | | | | | | | | all_428_1 gives: % 51.90/8.50 | | | | | | | | | | | | (2193) l(all_8_3, all_8_1) = all_428_1 & product(all_8_3, % 51.90/8.50 | | | | | | | | | | | | all_8_1) = all_428_0 & $i(all_428_0) & ( ~ % 51.90/8.50 | | | | | | | | | | | | (all_428_1 = 0) | (all_428_0 = all_8_3 & all_8_1 % 51.90/8.50 | | | | | | | | | | | | = all_8_2)) % 51.90/8.50 | | | | | | | | | | | | % 51.90/8.50 | | | | | | | | | | | | ALPHA: (2193) implies: % 51.90/8.50 | | | | | | | | | | | | (2194) product(all_8_3, all_8_1) = all_428_0 % 51.90/8.50 | | | | | | | | | | | | % 51.90/8.50 | | | | | | | | | | | | DELTA: instantiating (2133) with fresh symbols all_430_0, % 51.90/8.50 | | | | | | | | | | | | all_430_1 gives: % 51.90/8.50 | | | | | | | | | | | | (2195) r(all_8_3, all_8_1) = all_430_1 & product(all_8_3, % 51.90/8.50 | | | | | | | | | | | | all_8_1) = all_430_0 & $i(all_430_0) & ( ~ % 51.90/8.50 | | | | | | | | | | | | (all_430_1 = 0) | (all_430_0 = all_8_1 & all_8_2 % 51.90/8.50 | | | | | | | | | | | | = all_8_3)) % 51.90/8.50 | | | | | | | | | | | | % 51.90/8.50 | | | | | | | | | | | | ALPHA: (2195) implies: % 51.90/8.50 | | | | | | | | | | | | (2196) product(all_8_3, all_8_1) = all_430_0 % 51.90/8.50 | | | | | | | | | | | | % 51.90/8.50 | | | | | | | | | | | | DELTA: instantiating (2132) with fresh symbols all_432_0, % 51.90/8.50 | | | | | | | | | | | | all_432_1 gives: % 51.90/8.51 | | | | | | | | | | | | (2197) l(all_8_3, all_8_1) = all_432_1 & product(all_8_1, % 51.90/8.51 | | | | | | | | | | | | all_8_3) = all_432_0 & $i(all_432_0) & ( ~ % 51.90/8.51 | | | | | | | | | | | | (all_432_1 = 0) | (all_432_0 = all_8_1 & all_8_3 % 51.90/8.51 | | | | | | | | | | | | = all_8_5)) % 51.90/8.51 | | | | | | | | | | | | % 51.90/8.51 | | | | | | | | | | | | ALPHA: (2197) implies: % 51.90/8.51 | | | | | | | | | | | | (2198) product(all_8_1, all_8_3) = all_432_0 % 51.90/8.51 | | | | | | | | | | | | % 51.90/8.51 | | | | | | | | | | | | DELTA: instantiating (2131) with fresh symbols all_434_0, % 51.90/8.51 | | | | | | | | | | | | all_434_1 gives: % 51.90/8.51 | | | | | | | | | | | | (2199) r(all_8_3, all_8_1) = all_434_1 & product(all_8_1, % 51.90/8.51 | | | | | | | | | | | | all_8_3) = all_434_0 & $i(all_434_0) & ( ~ % 51.90/8.51 | | | | | | | | | | | | (all_434_1 = 0) | (all_434_0 = all_8_3 & all_8_1 % 51.90/8.51 | | | | | | | | | | | | = all_8_5)) % 51.90/8.51 | | | | | | | | | | | | % 51.90/8.51 | | | | | | | | | | | | ALPHA: (2199) implies: % 51.90/8.51 | | | | | | | | | | | | (2200) product(all_8_1, all_8_3) = all_434_0 % 51.90/8.51 | | | | | | | | | | | | % 51.90/8.51 | | | | | | | | | | | | DELTA: instantiating (2129) with fresh symbols all_436_0, % 51.90/8.51 | | | | | | | | | | | | all_436_1 gives: % 51.90/8.51 | | | | | | | | | | | | (2201) r(all_8_1, all_8_3) = all_436_1 & product(all_8_1, % 51.90/8.51 | | | | | | | | | | | | all_8_3) = all_436_0 & $i(all_436_0) & ( ~ % 51.90/8.51 | | | | | | | | | | | | (all_436_1 = 0) | (all_436_0 = all_8_3 & all_8_1 % 51.90/8.51 | | | | | | | | | | | | = all_8_5)) % 51.90/8.51 | | | | | | | | | | | | % 51.90/8.51 | | | | | | | | | | | | ALPHA: (2201) implies: % 51.90/8.51 | | | | | | | | | | | | (2202) product(all_8_1, all_8_3) = all_436_0 % 51.90/8.51 | | | | | | | | | | | | % 51.90/8.51 | | | | | | | | | | | | GROUND_INST: instantiating (17) with all_8_1, all_384_0, % 51.90/8.51 | | | | | | | | | | | | all_8_5, all_8_6, simplifying with (25), (2167) % 51.90/8.51 | | | | | | | | | | | | gives: % 51.90/8.51 | | | | | | | | | | | | (2203) all_384_0 = all_8_1 % 51.90/8.51 | | | | | | | | | | | | % 51.90/8.51 | | | | | | | | | | | | GROUND_INST: instantiating (17) with all_8_2, all_396_0, % 51.90/8.51 | | | | | | | | | | | | all_8_3, all_8_6, simplifying with (26), (2183) % 51.90/8.51 | | | | | | | | | | | | gives: % 51.90/8.51 | | | | | | | | | | | | (2204) all_396_0 = all_8_2 % 51.90/8.51 | | | | | | | | | | | | % 51.90/8.51 | | | | | | | | | | | | GROUND_INST: instantiating (17) with all_368_0, all_396_0, % 51.90/8.51 | | | | | | | | | | | | all_8_3, all_8_6, simplifying with (2144), (2183) % 51.90/8.51 | | | | | | | | | | | | gives: % 51.90/8.51 | | | | | | | | | | | | (2205) all_396_0 = all_368_0 % 51.90/8.51 | | | | | | | | | | | | % 51.90/8.51 | | | | | | | | | | | | GROUND_INST: instantiating (17) with all_8_3, all_388_0, % 51.90/8.51 | | | | | | | | | | | | all_8_6, all_8_5, simplifying with (27), (2171) % 51.90/8.51 | | | | | | | | | | | | gives: % 51.90/8.51 | | | | | | | | | | | | (2206) all_388_0 = all_8_3 % 51.90/8.51 | | | | | | | | | | | | % 51.90/8.51 | | | | | | | | | | | | GROUND_INST: instantiating (17) with all_8_3, all_390_0, % 51.90/8.51 | | | | | | | | | | | | all_8_3, all_8_5, simplifying with (448), (2174) % 51.90/8.51 | | | | | | | | | | | | gives: % 51.90/8.51 | | | | | | | | | | | | (2207) all_390_0 = all_8_3 % 51.90/8.51 | | | | | | | | | | | | % 51.90/8.51 | | | | | | | | | | | | GROUND_INST: instantiating (17) with all_378_0, all_394_0, % 51.90/8.51 | | | | | | | | | | | | all_8_3, all_8_3, simplifying with (2158), (2181) % 51.90/8.51 | | | | | | | | | | | | gives: % 51.90/8.51 | | | | | | | | | | | | (2208) all_394_0 = all_378_0 % 51.90/8.51 | | | | | | | | | | | | % 51.90/8.51 | | | | | | | | | | | | GROUND_INST: instantiating (17) with all_422_0, all_428_0, % 51.90/8.51 | | | | | | | | | | | | all_8_1, all_8_3, simplifying with (2190), (2194) % 51.90/8.51 | | | | | | | | | | | | gives: % 51.90/8.51 | | | | | | | | | | | | (2209) all_428_0 = all_422_0 % 51.90/8.51 | | | | | | | | | | | | % 51.90/8.51 | | | | | | | | | | | | GROUND_INST: instantiating (17) with all_420_0, all_428_0, % 51.90/8.51 | | | | | | | | | | | | all_8_1, all_8_3, simplifying with (2187), (2194) % 51.90/8.51 | | | | | | | | | | | | gives: % 51.90/8.51 | | | | | | | | | | | | (2210) all_428_0 = all_420_0 % 51.90/8.51 | | | | | | | | | | | | % 51.90/8.51 | | | | | | | | | | | | GROUND_INST: instantiating (17) with all_8_5, all_430_0, % 51.90/8.51 | | | | | | | | | | | | all_8_1, all_8_3, simplifying with (2072), (2196) % 51.90/8.51 | | | | | | | | | | | | gives: % 51.90/8.51 | | | | | | | | | | | | (2211) all_430_0 = all_8_5 % 51.90/8.51 | | | | | | | | | | | | % 51.90/8.51 | | | | | | | | | | | | GROUND_INST: instantiating (17) with all_428_0, all_430_0, % 51.90/8.51 | | | | | | | | | | | | all_8_1, all_8_3, simplifying with (2194), (2196) % 51.90/8.51 | | | | | | | | | | | | gives: % 51.90/8.51 | | | | | | | | | | | | (2212) all_430_0 = all_428_0 % 51.90/8.51 | | | | | | | | | | | | % 51.90/8.51 | | | | | | | | | | | | GROUND_INST: instantiating (17) with all_8_2, all_398_0, % 51.90/8.51 | | | | | | | | | | | | all_8_6, all_8_1, simplifying with (157), (2185) % 51.90/8.51 | | | | | | | | | | | | gives: % 51.90/8.51 | | | | | | | | | | | | (2213) all_398_0 = all_8_2 % 51.90/8.51 | | | | | | | | | | | | % 51.90/8.51 | | | | | | | | | | | | GROUND_INST: instantiating (17) with all_370_0, all_398_0, % 51.90/8.51 | | | | | | | | | | | | all_8_6, all_8_1, simplifying with (2148), (2185) % 51.90/8.51 | | | | | | | | | | | | gives: % 51.90/8.51 | | | | | | | | | | | | (2214) all_398_0 = all_370_0 % 51.90/8.51 | | | | | | | | | | | | % 51.90/8.51 | | | | | | | | | | | | GROUND_INST: instantiating (17) with all_8_1, all_374_0, % 51.90/8.51 | | | | | | | | | | | | all_8_5, all_8_1, simplifying with (443), (2153) % 51.90/8.51 | | | | | | | | | | | | gives: % 51.90/8.51 | | | | | | | | | | | | (2215) all_374_0 = all_8_1 % 51.90/8.51 | | | | | | | | | | | | % 51.90/8.51 | | | | | | | | | | | | GROUND_INST: instantiating (17) with all_426_0, all_432_0, % 51.90/8.51 | | | | | | | | | | | | all_8_3, all_8_1, simplifying with (2192), (2198) % 51.90/8.51 | | | | | | | | | | | | gives: % 51.90/8.51 | | | | | | | | | | | | (2216) all_432_0 = all_426_0 % 51.90/8.51 | | | | | | | | | | | | % 51.90/8.51 | | | | | | | | | | | | GROUND_INST: instantiating (17) with all_380_0, all_432_0, % 51.90/8.51 | | | | | | | | | | | | all_8_3, all_8_1, simplifying with (2161), (2198) % 51.90/8.51 | | | | | | | | | | | | gives: % 51.90/8.51 | | | | | | | | | | | | (2217) all_432_0 = all_380_0 % 51.90/8.51 | | | | | | | | | | | | % 51.90/8.51 | | | | | | | | | | | | GROUND_INST: instantiating (17) with all_376_0, all_432_0, % 51.90/8.51 | | | | | | | | | | | | all_8_3, all_8_1, simplifying with (2156), (2198) % 51.90/8.51 | | | | | | | | | | | | gives: % 51.90/8.51 | | | | | | | | | | | | (2218) all_432_0 = all_376_0 % 51.90/8.51 | | | | | | | | | | | | % 51.90/8.51 | | | | | | | | | | | | GROUND_INST: instantiating (17) with all_372_0, all_432_0, % 51.90/8.51 | | | | | | | | | | | | all_8_3, all_8_1, simplifying with (2151), (2198) % 51.90/8.51 | | | | | | | | | | | | gives: % 51.90/8.51 | | | | | | | | | | | | (2219) all_432_0 = all_372_0 % 51.90/8.51 | | | | | | | | | | | | % 51.90/8.51 | | | | | | | | | | | | GROUND_INST: instantiating (17) with all_8_2, all_434_0, % 51.90/8.51 | | | | | | | | | | | | all_8_3, all_8_1, simplifying with (600), (2200) % 51.90/8.51 | | | | | | | | | | | | gives: % 51.90/8.51 | | | | | | | | | | | | (2220) all_434_0 = all_8_2 % 51.90/8.51 | | | | | | | | | | | | % 51.90/8.51 | | | | | | | | | | | | GROUND_INST: instantiating (17) with all_432_0, all_434_0, % 51.90/8.51 | | | | | | | | | | | | all_8_3, all_8_1, simplifying with (2198), (2200) % 51.90/8.51 | | | | | | | | | | | | gives: % 51.90/8.51 | | | | | | | | | | | | (2221) all_434_0 = all_432_0 % 51.90/8.51 | | | | | | | | | | | | % 51.90/8.51 | | | | | | | | | | | | GROUND_INST: instantiating (17) with all_432_0, all_436_0, % 51.90/8.51 | | | | | | | | | | | | all_8_3, all_8_1, simplifying with (2198), (2202) % 51.90/8.51 | | | | | | | | | | | | gives: % 51.90/8.51 | | | | | | | | | | | | (2222) all_436_0 = all_432_0 % 51.90/8.51 | | | | | | | | | | | | % 51.90/8.51 | | | | | | | | | | | | GROUND_INST: instantiating (17) with all_386_0, all_436_0, % 51.90/8.51 | | | | | | | | | | | | all_8_3, all_8_1, simplifying with (2169), (2202) % 51.90/8.51 | | | | | | | | | | | | gives: % 51.90/8.51 | | | | | | | | | | | | (2223) all_436_0 = all_386_0 % 51.90/8.51 | | | | | | | | | | | | % 51.90/8.51 | | | | | | | | | | | | GROUND_INST: instantiating (17) with all_382_0, all_392_0, % 51.90/8.51 | | | | | | | | | | | | all_8_1, all_8_1, simplifying with (2165), (2178) % 51.90/8.51 | | | | | | | | | | | | gives: % 51.90/8.51 | | | | | | | | | | | | (2224) all_392_0 = all_382_0 % 51.90/8.51 | | | | | | | | | | | | % 51.90/8.51 | | | | | | | | | | | | COMBINE_EQS: (2222), (2223) imply: % 51.90/8.51 | | | | | | | | | | | | (2225) all_432_0 = all_386_0 % 51.90/8.51 | | | | | | | | | | | | % 51.90/8.51 | | | | | | | | | | | | SIMP: (2225) implies: % 51.90/8.51 | | | | | | | | | | | | (2226) all_432_0 = all_386_0 % 51.90/8.51 | | | | | | | | | | | | % 51.90/8.51 | | | | | | | | | | | | COMBINE_EQS: (2220), (2221) imply: % 51.90/8.51 | | | | | | | | | | | | (2227) all_432_0 = all_8_2 % 51.90/8.51 | | | | | | | | | | | | % 51.90/8.51 | | | | | | | | | | | | SIMP: (2227) implies: % 51.90/8.51 | | | | | | | | | | | | (2228) all_432_0 = all_8_2 % 51.90/8.51 | | | | | | | | | | | | % 51.90/8.51 | | | | | | | | | | | | COMBINE_EQS: (2216), (2217) imply: % 51.90/8.51 | | | | | | | | | | | | (2229) all_426_0 = all_380_0 % 51.90/8.51 | | | | | | | | | | | | % 51.90/8.51 | | | | | | | | | | | | COMBINE_EQS: (2216), (2219) imply: % 51.90/8.51 | | | | | | | | | | | | (2230) all_426_0 = all_372_0 % 51.90/8.51 | | | | | | | | | | | | % 51.90/8.51 | | | | | | | | | | | | COMBINE_EQS: (2216), (2228) imply: % 51.90/8.51 | | | | | | | | | | | | (2231) all_426_0 = all_8_2 % 51.90/8.51 | | | | | | | | | | | | % 51.90/8.51 | | | | | | | | | | | | COMBINE_EQS: (2216), (2218) imply: % 51.90/8.51 | | | | | | | | | | | | (2232) all_426_0 = all_376_0 % 51.90/8.51 | | | | | | | | | | | | % 51.90/8.51 | | | | | | | | | | | | COMBINE_EQS: (2216), (2226) imply: % 51.90/8.51 | | | | | | | | | | | | (2233) all_426_0 = all_386_0 % 51.90/8.51 | | | | | | | | | | | | % 51.90/8.51 | | | | | | | | | | | | COMBINE_EQS: (2211), (2212) imply: % 51.90/8.51 | | | | | | | | | | | | (2234) all_428_0 = all_8_5 % 51.90/8.51 | | | | | | | | | | | | % 51.90/8.51 | | | | | | | | | | | | SIMP: (2234) implies: % 51.90/8.51 | | | | | | | | | | | | (2235) all_428_0 = all_8_5 % 51.90/8.51 | | | | | | | | | | | | % 51.90/8.51 | | | | | | | | | | | | COMBINE_EQS: (2209), (2210) imply: % 51.90/8.51 | | | | | | | | | | | | (2236) all_422_0 = all_420_0 % 51.90/8.51 | | | | | | | | | | | | % 51.90/8.51 | | | | | | | | | | | | COMBINE_EQS: (2209), (2235) imply: % 51.90/8.51 | | | | | | | | | | | | (2237) all_422_0 = all_8_5 % 51.90/8.51 | | | | | | | | | | | | % 51.90/8.51 | | | | | | | | | | | | COMBINE_EQS: (2230), (2233) imply: % 51.90/8.51 | | | | | | | | | | | | (2238) all_386_0 = all_372_0 % 51.90/8.51 | | | | | | | | | | | | % 51.90/8.51 | | | | | | | | | | | | COMBINE_EQS: (2229), (2233) imply: % 51.90/8.51 | | | | | | | | | | | | (2239) all_386_0 = all_380_0 % 51.90/8.51 | | | | | | | | | | | | % 51.90/8.51 | | | | | | | | | | | | COMBINE_EQS: (2231), (2233) imply: % 51.90/8.51 | | | | | | | | | | | | (2240) all_386_0 = all_8_2 % 51.90/8.51 | | | | | | | | | | | | % 51.90/8.51 | | | | | | | | | | | | COMBINE_EQS: (2232), (2233) imply: % 51.90/8.51 | | | | | | | | | | | | (2241) all_386_0 = all_376_0 % 51.90/8.51 | | | | | | | | | | | | % 51.90/8.51 | | | | | | | | | | | | COMBINE_EQS: (2236), (2237) imply: % 51.90/8.51 | | | | | | | | | | | | (2242) all_420_0 = all_8_5 % 51.90/8.51 | | | | | | | | | | | | % 51.90/8.51 | | | | | | | | | | | | SIMP: (2242) implies: % 51.90/8.51 | | | | | | | | | | | | (2243) all_420_0 = all_8_5 % 51.90/8.51 | | | | | | | | | | | | % 51.90/8.51 | | | | | | | | | | | | COMBINE_EQS: (2213), (2214) imply: % 51.90/8.51 | | | | | | | | | | | | (2244) all_370_0 = all_8_2 % 51.90/8.51 | | | | | | | | | | | | % 51.90/8.51 | | | | | | | | | | | | COMBINE_EQS: (2204), (2205) imply: % 51.90/8.51 | | | | | | | | | | | | (2245) all_368_0 = all_8_2 % 51.90/8.51 | | | | | | | | | | | | % 51.90/8.51 | | | | | | | | | | | | COMBINE_EQS: (2238), (2239) imply: % 51.90/8.51 | | | | | | | | | | | | (2246) all_380_0 = all_372_0 % 51.90/8.51 | | | | | | | | | | | | % 51.90/8.51 | | | | | | | | | | | | COMBINE_EQS: (2239), (2240) imply: % 51.90/8.51 | | | | | | | | | | | | (2247) all_380_0 = all_8_2 % 51.90/8.51 | | | | | | | | | | | | % 51.90/8.51 | | | | | | | | | | | | COMBINE_EQS: (2239), (2241) imply: % 51.90/8.51 | | | | | | | | | | | | (2248) all_380_0 = all_376_0 % 51.90/8.51 | | | | | | | | | | | | % 51.90/8.51 | | | | | | | | | | | | COMBINE_EQS: (2247), (2248) imply: % 51.90/8.51 | | | | | | | | | | | | (2249) all_376_0 = all_8_2 % 51.90/8.51 | | | | | | | | | | | | % 51.90/8.51 | | | | | | | | | | | | COMBINE_EQS: (2246), (2248) imply: % 51.90/8.51 | | | | | | | | | | | | (2250) all_376_0 = all_372_0 % 51.90/8.51 | | | | | | | | | | | | % 51.90/8.51 | | | | | | | | | | | | COMBINE_EQS: (2249), (2250) imply: % 51.90/8.51 | | | | | | | | | | | | (2251) all_372_0 = all_8_2 % 51.90/8.51 | | | | | | | | | | | | % 51.90/8.51 | | | | | | | | | | | | REDUCE: (2162), (2247) imply: % 51.90/8.51 | | | | | | | | | | | | (2252) product(all_8_2, all_8_5) = all_8_1 % 51.90/8.51 | | | | | | | | | | | | % 51.90/8.51 | | | | | | | | | | | | REDUCE: (2154), (2215) imply: % 51.90/8.51 | | | | | | | | | | | | (2253) product(all_8_1, all_8_1) = all_8_1 % 51.90/8.51 | | | | | | | | | | | | % 51.90/8.51 | | | | | | | | | | | | REDUCE: (2145), (2245) imply: % 51.90/8.51 | | | | | | | | | | | | (2254) product(all_8_2, all_8_1) = all_8_1 % 51.90/8.51 | | | | | | | | | | | | % 51.90/8.51 | | | | | | | | | | | | REDUCE: (2177), (2224) imply: % 51.90/8.51 | | | | | | | | | | | | (2255) product(all_8_3, all_382_0) = all_8_5 % 51.90/8.51 | | | | | | | | | | | | % 51.90/8.51 | | | | | | | | | | | | REDUCE: (2172), (2206) imply: % 51.90/8.51 | | | | | | | | | | | | (2256) product(all_8_3, all_8_3) = all_8_3 % 51.90/8.51 | | | | | | | | | | | | % 51.90/8.51 | | | | | | | | | | | | REDUCE: (2147), (2244) imply: % 51.90/8.51 | | | | | | | | | | | | (2257) product(all_8_3, all_8_2) = all_8_3 % 51.90/8.51 | | | | | | | | | | | | % 51.90/8.51 | | | | | | | | | | | | REDUCE: (2150), (2251) imply: % 51.90/8.51 | | | | | | | | | | | | (2258) product(all_8_5, all_8_2) = all_8_3 % 51.90/8.51 | | | | | | | | | | | | % 51.90/8.51 | | | | | | | | | | | | REDUCE: (2180), (2208) imply: % 51.90/8.51 | | | | | | | | | | | | (2259) $i(all_378_0) % 51.90/8.51 | | | | | | | | | | | | % 51.90/8.51 | | | | | | | | | | | | REDUCE: (2176), (2224) imply: % 51.90/8.51 | | | | | | | | | | | | (2260) $i(all_382_0) % 51.90/8.51 | | | | | | | | | | | | % 51.90/8.51 | | | | | | | | | | | | GROUND_INST: instantiating (17) with all_378_0, all_8_3, % 51.90/8.51 | | | | | | | | | | | | all_8_3, all_8_3, simplifying with (2158), (2256) % 51.90/8.51 | | | | | | | | | | | | gives: % 51.90/8.51 | | | | | | | | | | | | (2261) all_378_0 = all_8_3 % 51.90/8.51 | | | | | | | | | | | | % 51.90/8.51 | | | | | | | | | | | | GROUND_INST: instantiating (17) with all_382_0, all_8_1, % 51.90/8.51 | | | | | | | | | | | | all_8_1, all_8_1, simplifying with (2165), (2253) % 51.90/8.51 | | | | | | | | | | | | gives: % 51.90/8.51 | | | | | | | | | | | | (2262) all_382_0 = all_8_1 % 51.90/8.51 | | | | | | | | | | | | % 51.90/8.51 | | | | | | | | | | | | BETA: splitting (203) gives: % 51.90/8.51 | | | | | | | | | | | | % 51.90/8.51 | | | | | | | | | | | | Case 1: % 51.90/8.51 | | | | | | | | | | | | | % 51.90/8.51 | | | | | | | | | | | | | (2263) ~ (all_70_1 = 0) % 51.90/8.51 | | | | | | | | | | | | | % 51.90/8.51 | | | | | | | | | | | | | BETA: splitting (297) gives: % 51.90/8.51 | | | | | | | | | | | | | % 51.90/8.51 | | | | | | | | | | | | | Case 1: % 51.90/8.51 | | | | | | | | | | | | | | % 51.90/8.51 | | | | | | | | | | | | | | (2264) all_70_1 = 0 % 51.90/8.51 | | | | | | | | | | | | | | % 51.90/8.51 | | | | | | | | | | | | | | REDUCE: (2263), (2264) imply: % 51.90/8.51 | | | | | | | | | | | | | | (2265) $false % 51.90/8.51 | | | | | | | | | | | | | | % 51.90/8.51 | | | | | | | | | | | | | | CLOSE: (2265) is inconsistent. % 51.90/8.51 | | | | | | | | | | | | | | % 51.90/8.51 | | | | | | | | | | | | | Case 2: % 51.90/8.51 | | | | | | | | | | | | | | % 51.90/8.51 | | | | | | | | | | | | | | (2266) ? [v0: $i] : ? [v1: $i] : (product(all_8_3, % 51.90/8.51 | | | | | | | | | | | | | | all_8_5) = v1 & product(all_8_5, all_8_3) = v0 % 51.90/8.51 | | | | | | | | | | | | | | & $i(v1) & $i(v0) & ( ~ (v1 = all_8_3) | ~ (v0 % 51.90/8.51 | | | | | | | | | | | | | | = all_8_5))) % 51.90/8.51 | | | | | | | | | | | | | | % 51.90/8.51 | | | | | | | | | | | | | | DELTA: instantiating (2266) with fresh symbols all_482_0, % 51.90/8.51 | | | | | | | | | | | | | | all_482_1 gives: % 51.90/8.51 | | | | | | | | | | | | | | (2267) product(all_8_3, all_8_5) = all_482_0 & % 51.90/8.51 | | | | | | | | | | | | | | product(all_8_5, all_8_3) = all_482_1 & % 51.90/8.51 | | | | | | | | | | | | | | $i(all_482_0) & $i(all_482_1) & ( ~ (all_482_0 = % 51.90/8.51 | | | | | | | | | | | | | | all_8_3) | ~ (all_482_1 = all_8_5)) % 51.90/8.51 | | | | | | | | | | | | | | % 51.90/8.51 | | | | | | | | | | | | | | ALPHA: (2267) implies: % 51.90/8.51 | | | | | | | | | | | | | | (2268) $i(all_482_1) % 51.90/8.51 | | | | | | | | | | | | | | (2269) $i(all_482_0) % 51.90/8.51 | | | | | | | | | | | | | | (2270) product(all_8_5, all_8_3) = all_482_1 % 51.90/8.51 | | | | | | | | | | | | | | (2271) product(all_8_3, all_8_5) = all_482_0 % 51.90/8.51 | | | | | | | | | | | | | | (2272) ~ (all_482_0 = all_8_3) | ~ (all_482_1 = % 51.90/8.51 | | | | | | | | | | | | | | all_8_5) % 51.90/8.51 | | | | | | | | | | | | | | % 51.90/8.51 | | | | | | | | | | | | | | GROUND_INST: instantiating (17) with all_8_3, all_482_1, % 51.90/8.51 | | | | | | | | | | | | | | all_8_3, all_8_5, simplifying with (448), (2270) % 51.90/8.51 | | | | | | | | | | | | | | gives: % 51.90/8.51 | | | | | | | | | | | | | | (2273) all_482_1 = all_8_3 % 51.90/8.51 | | | | | | | | | | | | | | % 51.90/8.51 | | | | | | | | | | | | | | GROUND_INST: instantiating (17) with all_8_5, all_482_0, % 51.90/8.51 | | | | | | | | | | | | | | all_8_5, all_8_3, simplifying with (2073), (2271) % 51.90/8.51 | | | | | | | | | | | | | | gives: % 51.90/8.51 | | | | | | | | | | | | | | (2274) all_482_0 = all_8_5 % 51.90/8.51 | | | | | | | | | | | | | | % 51.90/8.51 | | | | | | | | | | | | | | BETA: splitting (2272) gives: % 51.90/8.51 | | | | | | | | | | | | | | % 51.90/8.51 | | | | | | | | | | | | | | Case 1: % 51.90/8.51 | | | | | | | | | | | | | | | % 51.90/8.51 | | | | | | | | | | | | | | | (2275) ~ (all_482_0 = all_8_3) % 51.90/8.51 | | | | | | | | | | | | | | | % 51.90/8.51 | | | | | | | | | | | | | | | REDUCE: (2274), (2275) imply: % 51.90/8.51 | | | | | | | | | | | | | | | (2276) ~ (all_8_3 = all_8_5) % 51.90/8.51 | | | | | | | | | | | | | | | % 51.90/8.51 | | | | | | | | | | | | | | | SIMP: (2276) implies: % 51.90/8.51 | | | | | | | | | | | | | | | (2277) ~ (all_8_3 = all_8_5) % 51.90/8.51 | | | | | | | | | | | | | | | % 51.90/8.51 | | | | | | | | | | | | | | | BETA: splitting (2188) gives: % 51.90/8.51 | | | | | | | | | | | | | | | % 51.90/8.51 | | | | | | | | | | | | | | | Case 1: % 51.90/8.51 | | | | | | | | | | | | | | | | % 51.90/8.51 | | | | | | | | | | | | | | | | % 51.90/8.51 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with all_8_2, all_8_1, all_8_3, % 51.90/8.51 | | | | | | | | | | | | | | | | all_8_5, all_8_3, simplifying with (23), (24), % 51.90/8.51 | | | | | | | | | | | | | | | | (604), (2072), (2258) gives: % 51.90/8.51 | | | | | | | | | | | | | | | | (2278) ? [v0: $i] : (product(all_8_1, all_8_2) = v0 & % 51.90/8.51 | | | | | | | | | | | | | | | | product(all_8_3, v0) = all_8_3 & $i(v0)) % 51.90/8.51 | | | | | | | | | | | | | | | | % 51.90/8.51 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with all_8_2, all_8_1, all_8_5, % 51.90/8.51 | | | | | | | | | | | | | | | | all_8_5, all_8_3, simplifying with (22), (24), % 51.90/8.51 | | | | | | | | | | | | | | | | (604), (2074), (2258) gives: % 51.90/8.51 | | | | | | | | | | | | | | | | (2279) ? [v0: $i] : (product(all_8_1, all_8_2) = v0 & % 51.90/8.51 | | | | | | | | | | | | | | | | product(all_8_5, v0) = all_8_3 & $i(v0) & % 51.90/8.51 | | | | | | | | | | | | | | | | $i(all_8_3)) % 51.90/8.51 | | | | | | | | | | | | | | | | % 51.90/8.51 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (1) with all_8_2, all_8_5, all_8_6, % 51.90/8.51 | | | | | | | | | | | | | | | | all_8_3, all_8_2, simplifying with (21), (22), % 51.90/8.51 | | | | | | | | | | | | | | | | (26), (604), (2258) gives: % 51.90/8.51 | | | | | | | | | | | | | | | | (2280) ? [v0: $i] : (product(v0, all_8_2) = all_8_2 & % 51.90/8.52 | | | | | | | | | | | | | | | | product(all_8_6, all_8_5) = v0 & $i(v0)) % 51.90/8.52 | | | | | | | | | | | | | | | | % 51.90/8.52 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (1) with all_8_3, all_8_3, all_8_1, % 51.90/8.52 | | | | | | | | | | | | | | | | all_8_3, all_8_2, simplifying with (23), (24), % 51.90/8.52 | | | | | | | | | | | | | | | | (600), (2256) gives: % 51.90/8.52 | | | | | | | | | | | | | | | | (2281) ? [v0: $i] : (product(v0, all_8_3) = all_8_2 & % 51.90/8.52 | | | | | | | | | | | | | | | | product(all_8_1, all_8_3) = v0 & $i(v0) & % 51.90/8.52 | | | | | | | | | | | | | | | | $i(all_8_2)) % 51.90/8.52 | | | | | | | | | | | | | | | | % 51.90/8.52 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_8_3, all_8_3, % 51.90/8.52 | | | | | | | | | | | | | | | | simplifying with (23), (2256) gives: % 51.90/8.52 | | | | | | | | | | | | | | | | (2282) ? [v0: $i] : ? [v1: any] : (l(all_8_3, all_8_3) % 51.90/8.52 | | | | | | | | | | | | | | | | = v1 & product(all_8_3, all_8_3) = v0 & $i(v0) & % 51.90/8.52 | | | | | | | | | | | | | | | | ( ~ (v0 = all_8_3) | v1 = 0)) % 51.90/8.52 | | | | | | | | | | | | | | | | % 51.90/8.52 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (10) with all_8_3, all_8_3, % 51.90/8.52 | | | | | | | | | | | | | | | | simplifying with (23), (2256) gives: % 51.90/8.52 | | | | | | | | | | | | | | | | (2283) ? [v0: $i] : ? [v1: any] : (r(all_8_3, all_8_3) % 51.90/8.52 | | | | | | | | | | | | | | | | = v1 & product(all_8_3, all_8_3) = v0 & $i(v0) & % 51.90/8.52 | | | | | | | | | | | | | | | | ( ~ (v0 = all_8_3) | v1 = 0)) % 51.90/8.52 | | | | | | | | | | | | | | | | % 51.90/8.52 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (13) with all_8_3, all_8_3, all_8_3, % 51.90/8.52 | | | | | | | | | | | | | | | | simplifying with (23), (2256) gives: % 51.90/8.52 | | | | | | | | | | | | | | | | (2284) ? [v0: any] : ? [v1: $i] : (r(all_8_3, all_8_3) % 51.90/8.52 | | | | | | | | | | | | | | | | = v0 & product(all_8_3, all_8_3) = v1 & $i(v1) & % 51.90/8.52 | | | | | | | | | | | | | | | | ( ~ (v0 = 0) | v1 = all_8_3)) % 51.90/8.52 | | | | | | | | | | | | | | | | % 51.90/8.52 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (7) with all_8_3, all_8_3, all_8_3, % 51.90/8.52 | | | | | | | | | | | | | | | | simplifying with (23), (2256) gives: % 51.90/8.52 | | | | | | | | | | | | | | | | (2285) ? [v0: any] : ? [v1: $i] : (l(all_8_3, all_8_3) % 51.90/8.52 | | | | | | | | | | | | | | | | = v0 & product(all_8_3, all_8_3) = v1 & $i(v1) & % 51.90/8.52 | | | | | | | | | | | | | | | | ( ~ (v0 = 0) | v1 = all_8_3)) % 51.90/8.52 | | | | | | | | | | | | | | | | % 51.90/8.52 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (1) with all_8_2, all_8_3, all_8_1, % 51.90/8.52 | | | | | | | | | | | | | | | | all_8_3, all_8_2, simplifying with (23), (24), % 51.90/8.52 | | | | | | | | | | | | | | | | (600), (604), (2257) gives: % 51.90/8.52 | | | | | | | | | | | | | | | | (2286) ? [v0: $i] : (product(v0, all_8_2) = all_8_2 & % 51.90/8.52 | | | | | | | | | | | | | | | | product(all_8_1, all_8_3) = v0 & $i(v0)) % 51.90/8.52 | | | | | | | | | | | | | | | | % 51.90/8.52 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with all_8_6, all_8_5, all_8_2, % 51.90/8.52 | | | | | | | | | | | | | | | | all_8_1, all_8_2, simplifying with (21), (22), % 51.90/8.52 | | | | | | | | | | | | | | | | (157), (604), (2252) gives: % 51.90/8.52 | | | | | | | | | | | | | | | | (2287) ? [v0: $i] : (product(all_8_2, v0) = all_8_2 & % 51.90/8.52 | | | | | | | | | | | | | | | | product(all_8_5, all_8_6) = v0 & $i(v0)) % 51.90/8.52 | | | | | | | | | | | | | | | | % 51.90/8.52 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (12) with all_8_2, all_8_5, all_8_1, % 51.90/8.52 | | | | | | | | | | | | | | | | simplifying with (22), (604), (2252) gives: % 51.90/8.52 | | | | | | | | | | | | | | | | (2288) ? [v0: any] : ? [v1: $i] : (r(all_8_2, all_8_5) % 51.90/8.52 | | | | | | | | | | | | | | | | = v0 & product(all_8_5, all_8_2) = v1 & $i(v1) & % 51.90/8.52 | | | | | | | | | | | | | | | | ( ~ (v0 = 0) | (v1 = all_8_2 & all_8_1 = % 51.90/8.52 | | | | | | | | | | | | | | | | all_8_5))) % 51.90/8.52 | | | | | | | | | | | | | | | | % 51.90/8.52 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with all_8_3, all_8_1, all_8_2, % 51.90/8.52 | | | | | | | | | | | | | | | | all_8_1, all_8_2, simplifying with (23), (24), % 51.90/8.52 | | | | | | | | | | | | | | | | (600), (604), (2254) gives: % 51.90/8.52 | | | | | | | | | | | | | | | | (2289) ? [v0: $i] : (product(all_8_1, all_8_3) = v0 & % 51.90/8.52 | | | | | | | | | | | | | | | | product(all_8_2, v0) = all_8_2 & $i(v0)) % 51.90/8.52 | | | | | | | | | | | | | | | | % 51.90/8.52 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with all_8_6, all_8_1, all_8_2, % 51.90/8.52 | | | | | | | | | | | | | | | | all_8_1, all_8_2, simplifying with (21), (24), % 51.90/8.52 | | | | | | | | | | | | | | | | (157), (604), (2254) gives: % 51.90/8.52 | | | | | | | | | | | | | | | | (2290) ? [v0: $i] : (product(all_8_1, all_8_6) = v0 & % 51.90/8.52 | | | | | | | | | | | | | | | | product(all_8_2, v0) = all_8_2 & $i(v0)) % 51.90/8.52 | | | | | | | | | | | | | | | | % 51.90/8.52 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (10) with all_8_1, all_8_2, % 51.90/8.52 | | | | | | | | | | | | | | | | simplifying with (24), (604), (2254) gives: % 51.90/8.52 | | | | | | | | | | | | | | | | (2291) ? [v0: $i] : ? [v1: any] : (r(all_8_1, all_8_2) % 51.90/8.52 | | | | | | | | | | | | | | | | = v1 & product(all_8_1, all_8_2) = v0 & $i(v0) & % 51.90/8.52 | | | | | | | | | | | | | | | | ( ~ (v0 = all_8_2) | v1 = 0)) % 51.90/8.52 | | | | | | | | | | | | | | | | % 51.90/8.52 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (9) with all_8_2, all_8_1, % 51.90/8.52 | | | | | | | | | | | | | | | | simplifying with (24), (604), (2254) gives: % 51.90/8.52 | | | | | | | | | | | | | | | | (2292) ? [v0: $i] : ? [v1: any] : (r(all_8_2, all_8_1) % 51.90/8.52 | | | | | | | | | | | | | | | | = v1 & product(all_8_1, all_8_2) = v0 & $i(v0) & % 51.90/8.52 | | | | | | | | | | | | | | | | ( ~ (v0 = all_8_2) | v1 = 0)) % 51.90/8.52 | | | | | | | | | | | | | | | | % 51.90/8.52 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (13) with all_8_1, all_8_2, all_8_1, % 51.90/8.52 | | | | | | | | | | | | | | | | simplifying with (24), (604), (2254) gives: % 51.90/8.52 | | | | | | | | | | | | | | | | (2293) ? [v0: any] : ? [v1: $i] : (r(all_8_1, all_8_2) % 51.90/8.52 | | | | | | | | | | | | | | | | = v0 & product(all_8_1, all_8_2) = v1 & $i(v1) & % 51.90/8.52 | | | | | | | | | | | | | | | | ( ~ (v0 = 0) | v1 = all_8_2)) % 51.90/8.52 | | | | | | | | | | | | | | | | % 51.90/8.52 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (7) with all_8_1, all_8_2, all_8_1, % 51.90/8.52 | | | | | | | | | | | | | | | | simplifying with (24), (604), (2254) gives: % 51.90/8.52 | | | | | | | | | | | | | | | | (2294) ? [v0: any] : ? [v1: $i] : (l(all_8_1, all_8_2) % 51.90/8.52 | | | | | | | | | | | | | | | | = v0 & product(all_8_1, all_8_2) = v1 & $i(v1) & % 51.90/8.52 | | | | | | | | | | | | | | | | ( ~ (v0 = 0) | (v1 = all_8_2 & all_8_1 = % 51.90/8.52 | | | | | | | | | | | | | | | | all_8_2))) % 51.90/8.52 | | | | | | | | | | | | | | | | % 51.90/8.52 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (12) with all_8_2, all_8_1, all_8_1, % 51.90/8.52 | | | | | | | | | | | | | | | | simplifying with (24), (604), (2254) gives: % 51.90/8.52 | | | | | | | | | | | | | | | | (2295) ? [v0: any] : ? [v1: $i] : (r(all_8_2, all_8_1) % 51.90/8.52 | | | | | | | | | | | | | | | | = v0 & product(all_8_1, all_8_2) = v1 & $i(v1) & % 51.90/8.52 | | | | | | | | | | | | | | | | ( ~ (v0 = 0) | v1 = all_8_2)) % 51.90/8.52 | | | | | | | | | | | | | | | | % 51.90/8.52 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (6) with all_8_2, all_8_1, all_8_1, % 51.90/8.52 | | | | | | | | | | | | | | | | simplifying with (24), (604), (2254) gives: % 51.90/8.52 | | | | | | | | | | | | | | | | (2296) ? [v0: any] : ? [v1: $i] : (l(all_8_2, all_8_1) % 51.90/8.52 | | | | | | | | | | | | | | | | = v0 & product(all_8_1, all_8_2) = v1 & $i(v1) & % 51.90/8.52 | | | | | | | | | | | | | | | | ( ~ (v0 = 0) | (v1 = all_8_2 & all_8_1 = % 51.90/8.52 | | | | | | | | | | | | | | | | all_8_2))) % 51.90/8.52 | | | | | | | | | | | | | | | | % 51.90/8.52 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with all_8_3, all_8_1, all_8_1, % 51.90/8.52 | | | | | | | | | | | | | | | | all_8_1, all_8_2, simplifying with (23), (24), % 51.90/8.52 | | | | | | | | | | | | | | | | (600), (2253) gives: % 51.90/8.52 | | | | | | | | | | | | | | | | (2297) ? [v0: $i] : (product(all_8_1, v0) = all_8_2 & % 51.90/8.52 | | | | | | | | | | | | | | | | product(all_8_1, all_8_3) = v0 & $i(v0) & % 51.90/8.52 | | | | | | | | | | | | | | | | $i(all_8_2)) % 51.90/8.52 | | | | | | | | | | | | | | | | % 51.90/8.52 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with all_8_6, all_8_1, all_8_1, % 51.90/8.52 | | | | | | | | | | | | | | | | all_8_1, all_8_2, simplifying with (21), (24), % 51.90/8.52 | | | | | | | | | | | | | | | | (157), (2253) gives: % 51.90/8.52 | | | | | | | | | | | | | | | | (2298) ? [v0: $i] : (product(all_8_1, v0) = all_8_2 & % 51.90/8.52 | | | | | | | | | | | | | | | | product(all_8_1, all_8_6) = v0 & $i(v0) & % 51.90/8.52 | | | | | | | | | | | | | | | | $i(all_8_2)) % 51.90/8.52 | | | | | | | | | | | | | | | | % 51.90/8.52 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (1) with all_8_1, all_8_2, all_8_1, % 51.90/8.52 | | | | | | | | | | | | | | | | all_8_1, all_8_1, simplifying with (24), (604), % 51.90/8.52 | | | | | | | | | | | | | | | | (2253), (2254) gives: % 51.90/8.52 | | | | | | | | | | | | | | | | (2299) ? [v0: $i] : (product(v0, all_8_1) = all_8_1 & % 51.90/8.52 | | | | | | | | | | | | | | | | product(all_8_1, all_8_2) = v0 & $i(v0)) % 51.90/8.52 | | | | | | | | | | | | | | | | % 51.90/8.52 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (1) with all_8_5, all_8_2, all_8_1, % 51.90/8.52 | | | | | | | | | | | | | | | | all_8_1, all_8_1, simplifying with (22), (24), % 51.90/8.52 | | | | | | | | | | | | | | | | (604), (2252), (2253) gives: % 51.90/8.52 | | | | | | | | | | | | | | | | (2300) ? [v0: $i] : (product(v0, all_8_5) = all_8_1 & % 51.90/8.52 | | | | | | | | | | | | | | | | product(all_8_1, all_8_2) = v0 & $i(v0)) % 51.90/8.52 | | | | | | | | | | | | | | | | % 51.90/8.52 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (5) with all_366_0, all_8_5, % 51.90/8.52 | | | | | | | | | | | | | | | | simplifying with (22), (2139), (2140) gives: % 51.90/8.52 | | | | | | | | | | | | | | | | (2301) product(all_366_0, all_8_5) = all_366_0 & % 51.90/8.52 | | | | | | | | | | | | | | | | product(all_8_5, all_366_0) = all_8_5 % 51.90/8.52 | | | | | | | | | | | | | | | | % 51.90/8.52 | | | | | | | | | | | | | | | | ALPHA: (2301) implies: % 51.90/8.52 | | | | | | | | | | | | | | | | (2302) product(all_8_5, all_366_0) = all_8_5 % 51.90/8.52 | | | | | | | | | | | | | | | | (2303) product(all_366_0, all_8_5) = all_366_0 % 51.90/8.52 | | | | | | | | | | | | | | | | % 51.90/8.52 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (11) with all_8_6, all_366_0, % 51.90/8.52 | | | | | | | | | | | | | | | | simplifying with (21), (2139), (2141) gives: % 51.90/8.52 | | | | | | | | | | | | | | | | (2304) product(all_366_0, all_8_6) = all_8_6 & % 51.90/8.52 | | | | | | | | | | | | | | | | product(all_8_6, all_366_0) = all_366_0 % 51.90/8.52 | | | | | | | | | | | | | | | | % 51.90/8.52 | | | | | | | | | | | | | | | | ALPHA: (2304) implies: % 51.90/8.52 | | | | | | | | | | | | | | | | (2305) product(all_8_6, all_366_0) = all_366_0 % 51.90/8.52 | | | | | | | | | | | | | | | | (2306) product(all_366_0, all_8_6) = all_8_6 % 51.90/8.52 | | | | | | | | | | | | | | | | % 51.90/8.52 | | | | | | | | | | | | | | | | DELTA: instantiating (2300) with fresh symbol all_510_0 % 51.90/8.52 | | | | | | | | | | | | | | | | gives: % 51.90/8.52 | | | | | | | | | | | | | | | | (2307) product(all_510_0, all_8_5) = all_8_1 & % 51.90/8.52 | | | | | | | | | | | | | | | | product(all_8_1, all_8_2) = all_510_0 & % 51.90/8.52 | | | | | | | | | | | | | | | | $i(all_510_0) % 51.90/8.52 | | | | | | | | | | | | | | | | % 51.90/8.52 | | | | | | | | | | | | | | | | ALPHA: (2307) implies: % 51.90/8.52 | | | | | | | | | | | | | | | | (2308) product(all_8_1, all_8_2) = all_510_0 % 51.90/8.52 | | | | | | | | | | | | | | | | % 51.90/8.52 | | | | | | | | | | | | | | | | DELTA: instantiating (2299) with fresh symbol all_512_0 % 51.90/8.52 | | | | | | | | | | | | | | | | gives: % 51.90/8.52 | | | | | | | | | | | | | | | | (2309) product(all_512_0, all_8_1) = all_8_1 & % 51.90/8.52 | | | | | | | | | | | | | | | | product(all_8_1, all_8_2) = all_512_0 & % 51.90/8.52 | | | | | | | | | | | | | | | | $i(all_512_0) % 51.90/8.52 | | | | | | | | | | | | | | | | % 51.90/8.52 | | | | | | | | | | | | | | | | ALPHA: (2309) implies: % 51.90/8.52 | | | | | | | | | | | | | | | | (2310) product(all_8_1, all_8_2) = all_512_0 % 51.90/8.52 | | | | | | | | | | | | | | | | % 51.90/8.52 | | | | | | | | | | | | | | | | DELTA: instantiating (2290) with fresh symbol all_516_0 % 51.90/8.52 | | | | | | | | | | | | | | | | gives: % 51.90/8.52 | | | | | | | | | | | | | | | | (2311) product(all_8_1, all_8_6) = all_516_0 & % 51.90/8.52 | | | | | | | | | | | | | | | | product(all_8_2, all_516_0) = all_8_2 & % 51.90/8.52 | | | | | | | | | | | | | | | | $i(all_516_0) % 51.90/8.52 | | | | | | | | | | | | | | | | % 51.90/8.52 | | | | | | | | | | | | | | | | ALPHA: (2311) implies: % 51.90/8.52 | | | | | | | | | | | | | | | | (2312) product(all_8_1, all_8_6) = all_516_0 % 51.90/8.52 | | | | | | | | | | | | | | | | % 51.90/8.52 | | | | | | | | | | | | | | | | DELTA: instantiating (2287) with fresh symbol all_520_0 % 51.90/8.52 | | | | | | | | | | | | | | | | gives: % 51.90/8.52 | | | | | | | | | | | | | | | | (2313) product(all_8_2, all_520_0) = all_8_2 & % 51.90/8.52 | | | | | | | | | | | | | | | | product(all_8_5, all_8_6) = all_520_0 & % 51.90/8.52 | | | | | | | | | | | | | | | | $i(all_520_0) % 51.90/8.52 | | | | | | | | | | | | | | | | % 51.90/8.52 | | | | | | | | | | | | | | | | ALPHA: (2313) implies: % 51.90/8.52 | | | | | | | | | | | | | | | | (2314) product(all_8_5, all_8_6) = all_520_0 % 51.90/8.52 | | | | | | | | | | | | | | | | % 51.90/8.52 | | | | | | | | | | | | | | | | DELTA: instantiating (2289) with fresh symbol all_524_0 % 51.90/8.52 | | | | | | | | | | | | | | | | gives: % 51.90/8.52 | | | | | | | | | | | | | | | | (2315) product(all_8_1, all_8_3) = all_524_0 & % 51.90/8.52 | | | | | | | | | | | | | | | | product(all_8_2, all_524_0) = all_8_2 & % 51.90/8.52 | | | | | | | | | | | | | | | | $i(all_524_0) % 51.90/8.52 | | | | | | | | | | | | | | | | % 51.90/8.52 | | | | | | | | | | | | | | | | ALPHA: (2315) implies: % 51.90/8.52 | | | | | | | | | | | | | | | | (2316) product(all_8_1, all_8_3) = all_524_0 % 51.90/8.52 | | | | | | | | | | | | | | | | % 51.90/8.52 | | | | | | | | | | | | | | | | DELTA: instantiating (2286) with fresh symbol all_530_0 % 51.90/8.52 | | | | | | | | | | | | | | | | gives: % 51.90/8.52 | | | | | | | | | | | | | | | | (2317) product(all_530_0, all_8_2) = all_8_2 & % 51.90/8.52 | | | | | | | | | | | | | | | | product(all_8_1, all_8_3) = all_530_0 & % 51.90/8.52 | | | | | | | | | | | | | | | | $i(all_530_0) % 51.90/8.52 | | | | | | | | | | | | | | | | % 51.90/8.52 | | | | | | | | | | | | | | | | ALPHA: (2317) implies: % 51.90/8.52 | | | | | | | | | | | | | | | | (2318) product(all_8_1, all_8_3) = all_530_0 % 51.90/8.52 | | | | | | | | | | | | | | | | % 51.90/8.52 | | | | | | | | | | | | | | | | DELTA: instantiating (2280) with fresh symbol all_532_0 % 51.90/8.52 | | | | | | | | | | | | | | | | gives: % 51.90/8.52 | | | | | | | | | | | | | | | | (2319) product(all_532_0, all_8_2) = all_8_2 & % 51.90/8.52 | | | | | | | | | | | | | | | | product(all_8_6, all_8_5) = all_532_0 & % 51.90/8.52 | | | | | | | | | | | | | | | | $i(all_532_0) % 51.90/8.52 | | | | | | | | | | | | | | | | % 51.90/8.52 | | | | | | | | | | | | | | | | ALPHA: (2319) implies: % 51.90/8.53 | | | | | | | | | | | | | | | | (2320) $i(all_532_0) % 51.90/8.53 | | | | | | | | | | | | | | | | (2321) product(all_8_6, all_8_5) = all_532_0 % 51.90/8.53 | | | | | | | | | | | | | | | | % 51.90/8.53 | | | | | | | | | | | | | | | | DELTA: instantiating (2278) with fresh symbol all_536_0 % 51.90/8.53 | | | | | | | | | | | | | | | | gives: % 51.90/8.53 | | | | | | | | | | | | | | | | (2322) product(all_8_1, all_8_2) = all_536_0 & % 51.90/8.53 | | | | | | | | | | | | | | | | product(all_8_3, all_536_0) = all_8_3 & % 51.90/8.53 | | | | | | | | | | | | | | | | $i(all_536_0) % 51.90/8.53 | | | | | | | | | | | | | | | | % 51.90/8.53 | | | | | | | | | | | | | | | | ALPHA: (2322) implies: % 51.90/8.53 | | | | | | | | | | | | | | | | (2323) product(all_8_1, all_8_2) = all_536_0 % 51.90/8.53 | | | | | | | | | | | | | | | | % 51.90/8.53 | | | | | | | | | | | | | | | | DELTA: instantiating (2298) with fresh symbol all_544_0 % 51.90/8.53 | | | | | | | | | | | | | | | | gives: % 51.90/8.53 | | | | | | | | | | | | | | | | (2324) product(all_8_1, all_544_0) = all_8_2 & % 51.90/8.53 | | | | | | | | | | | | | | | | product(all_8_1, all_8_6) = all_544_0 & % 51.90/8.53 | | | | | | | | | | | | | | | | $i(all_544_0) & $i(all_8_2) % 51.90/8.53 | | | | | | | | | | | | | | | | % 51.90/8.53 | | | | | | | | | | | | | | | | ALPHA: (2324) implies: % 51.90/8.53 | | | | | | | | | | | | | | | | (2325) product(all_8_1, all_8_6) = all_544_0 % 51.90/8.53 | | | | | | | | | | | | | | | | (2326) product(all_8_1, all_544_0) = all_8_2 % 51.90/8.53 | | | | | | | | | | | | | | | | % 51.90/8.53 | | | | | | | | | | | | | | | | DELTA: instantiating (2297) with fresh symbol all_548_0 % 51.90/8.53 | | | | | | | | | | | | | | | | gives: % 51.90/8.53 | | | | | | | | | | | | | | | | (2327) product(all_8_1, all_548_0) = all_8_2 & % 51.90/8.53 | | | | | | | | | | | | | | | | product(all_8_1, all_8_3) = all_548_0 & % 51.90/8.53 | | | | | | | | | | | | | | | | $i(all_548_0) & $i(all_8_2) % 51.90/8.53 | | | | | | | | | | | | | | | | % 51.90/8.53 | | | | | | | | | | | | | | | | ALPHA: (2327) implies: % 51.90/8.53 | | | | | | | | | | | | | | | | (2328) product(all_8_1, all_8_3) = all_548_0 % 51.90/8.53 | | | | | | | | | | | | | | | | % 51.90/8.53 | | | | | | | | | | | | | | | | DELTA: instantiating (2279) with fresh symbol all_550_0 % 51.90/8.53 | | | | | | | | | | | | | | | | gives: % 51.90/8.53 | | | | | | | | | | | | | | | | (2329) product(all_8_1, all_8_2) = all_550_0 & % 51.90/8.53 | | | | | | | | | | | | | | | | product(all_8_5, all_550_0) = all_8_3 & % 51.90/8.53 | | | | | | | | | | | | | | | | $i(all_550_0) & $i(all_8_3) % 51.90/8.53 | | | | | | | | | | | | | | | | % 51.90/8.53 | | | | | | | | | | | | | | | | ALPHA: (2329) implies: % 51.90/8.53 | | | | | | | | | | | | | | | | (2330) product(all_8_1, all_8_2) = all_550_0 % 51.90/8.53 | | | | | | | | | | | | | | | | % 51.90/8.53 | | | | | | | | | | | | | | | | DELTA: instantiating (2281) with fresh symbol all_556_0 % 51.90/8.53 | | | | | | | | | | | | | | | | gives: % 51.90/8.53 | | | | | | | | | | | | | | | | (2331) product(all_556_0, all_8_3) = all_8_2 & % 51.90/8.53 | | | | | | | | | | | | | | | | product(all_8_1, all_8_3) = all_556_0 & % 51.90/8.53 | | | | | | | | | | | | | | | | $i(all_556_0) & $i(all_8_2) % 51.90/8.53 | | | | | | | | | | | | | | | | % 51.90/8.53 | | | | | | | | | | | | | | | | ALPHA: (2331) implies: % 51.90/8.53 | | | | | | | | | | | | | | | | (2332) product(all_8_1, all_8_3) = all_556_0 % 51.90/8.53 | | | | | | | | | | | | | | | | % 51.90/8.53 | | | | | | | | | | | | | | | | DELTA: instantiating (2285) with fresh symbols all_558_0, % 51.90/8.53 | | | | | | | | | | | | | | | | all_558_1 gives: % 51.90/8.53 | | | | | | | | | | | | | | | | (2333) l(all_8_3, all_8_3) = all_558_1 & product(all_8_3, % 51.90/8.53 | | | | | | | | | | | | | | | | all_8_3) = all_558_0 & $i(all_558_0) & ( ~ % 51.90/8.53 | | | | | | | | | | | | | | | | (all_558_1 = 0) | all_558_0 = all_8_3) % 51.90/8.53 | | | | | | | | | | | | | | | | % 51.90/8.53 | | | | | | | | | | | | | | | | ALPHA: (2333) implies: % 51.90/8.53 | | | | | | | | | | | | | | | | (2334) product(all_8_3, all_8_3) = all_558_0 % 51.90/8.53 | | | | | | | | | | | | | | | | % 51.90/8.53 | | | | | | | | | | | | | | | | DELTA: instantiating (2292) with fresh symbols all_564_0, % 51.90/8.53 | | | | | | | | | | | | | | | | all_564_1 gives: % 51.90/8.53 | | | | | | | | | | | | | | | | (2335) r(all_8_2, all_8_1) = all_564_0 & product(all_8_1, % 51.90/8.53 | | | | | | | | | | | | | | | | all_8_2) = all_564_1 & $i(all_564_1) & ( ~ % 51.90/8.53 | | | | | | | | | | | | | | | | (all_564_1 = all_8_2) | all_564_0 = 0) % 51.90/8.53 | | | | | | | | | | | | | | | | % 51.90/8.53 | | | | | | | | | | | | | | | | ALPHA: (2335) implies: % 51.90/8.53 | | | | | | | | | | | | | | | | (2336) product(all_8_1, all_8_2) = all_564_1 % 51.90/8.53 | | | | | | | | | | | | | | | | % 51.90/8.53 | | | | | | | | | | | | | | | | DELTA: instantiating (2291) with fresh symbols all_570_0, % 51.90/8.53 | | | | | | | | | | | | | | | | all_570_1 gives: % 51.90/8.53 | | | | | | | | | | | | | | | | (2337) r(all_8_1, all_8_2) = all_570_0 & product(all_8_1, % 51.90/8.53 | | | | | | | | | | | | | | | | all_8_2) = all_570_1 & $i(all_570_1) & ( ~ % 51.90/8.53 | | | | | | | | | | | | | | | | (all_570_1 = all_8_2) | all_570_0 = 0) % 51.90/8.53 | | | | | | | | | | | | | | | | % 51.90/8.53 | | | | | | | | | | | | | | | | ALPHA: (2337) implies: % 51.90/8.53 | | | | | | | | | | | | | | | | (2338) product(all_8_1, all_8_2) = all_570_1 % 51.90/8.53 | | | | | | | | | | | | | | | | (2339) ~ (all_570_1 = all_8_2) | all_570_0 = 0 % 51.90/8.53 | | | | | | | | | | | | | | | | % 51.90/8.53 | | | | | | | | | | | | | | | | DELTA: instantiating (2282) with fresh symbols all_572_0, % 51.90/8.53 | | | | | | | | | | | | | | | | all_572_1 gives: % 51.90/8.53 | | | | | | | | | | | | | | | | (2340) l(all_8_3, all_8_3) = all_572_0 & product(all_8_3, % 51.90/8.53 | | | | | | | | | | | | | | | | all_8_3) = all_572_1 & $i(all_572_1) & ( ~ % 51.90/8.53 | | | | | | | | | | | | | | | | (all_572_1 = all_8_3) | all_572_0 = 0) % 51.90/8.53 | | | | | | | | | | | | | | | | % 51.90/8.53 | | | | | | | | | | | | | | | | ALPHA: (2340) implies: % 51.90/8.53 | | | | | | | | | | | | | | | | (2341) product(all_8_3, all_8_3) = all_572_1 % 51.90/8.53 | | | | | | | | | | | | | | | | (2342) ~ (all_572_1 = all_8_3) | all_572_0 = 0 % 51.90/8.53 | | | | | | | | | | | | | | | | % 51.90/8.53 | | | | | | | | | | | | | | | | DELTA: instantiating (2295) with fresh symbols all_574_0, % 51.90/8.53 | | | | | | | | | | | | | | | | all_574_1 gives: % 51.90/8.53 | | | | | | | | | | | | | | | | (2343) r(all_8_2, all_8_1) = all_574_1 & product(all_8_1, % 51.90/8.53 | | | | | | | | | | | | | | | | all_8_2) = all_574_0 & $i(all_574_0) & ( ~ % 51.90/8.53 | | | | | | | | | | | | | | | | (all_574_1 = 0) | all_574_0 = all_8_2) % 51.90/8.53 | | | | | | | | | | | | | | | | % 51.90/8.53 | | | | | | | | | | | | | | | | ALPHA: (2343) implies: % 51.90/8.53 | | | | | | | | | | | | | | | | (2344) product(all_8_1, all_8_2) = all_574_0 % 51.90/8.53 | | | | | | | | | | | | | | | | % 51.90/8.53 | | | | | | | | | | | | | | | | DELTA: instantiating (2293) with fresh symbols all_576_0, % 51.90/8.53 | | | | | | | | | | | | | | | | all_576_1 gives: % 51.90/8.53 | | | | | | | | | | | | | | | | (2345) r(all_8_1, all_8_2) = all_576_1 & product(all_8_1, % 51.90/8.53 | | | | | | | | | | | | | | | | all_8_2) = all_576_0 & $i(all_576_0) & ( ~ % 51.90/8.53 | | | | | | | | | | | | | | | | (all_576_1 = 0) | all_576_0 = all_8_2) % 51.90/8.53 | | | | | | | | | | | | | | | | % 51.90/8.53 | | | | | | | | | | | | | | | | ALPHA: (2345) implies: % 51.90/8.53 | | | | | | | | | | | | | | | | (2346) product(all_8_1, all_8_2) = all_576_0 % 51.90/8.53 | | | | | | | | | | | | | | | | % 51.90/8.53 | | | | | | | | | | | | | | | | DELTA: instantiating (2284) with fresh symbols all_580_0, % 51.90/8.53 | | | | | | | | | | | | | | | | all_580_1 gives: % 51.90/8.53 | | | | | | | | | | | | | | | | (2347) r(all_8_3, all_8_3) = all_580_1 & product(all_8_3, % 51.90/8.53 | | | | | | | | | | | | | | | | all_8_3) = all_580_0 & $i(all_580_0) & ( ~ % 51.90/8.53 | | | | | | | | | | | | | | | | (all_580_1 = 0) | all_580_0 = all_8_3) % 51.90/8.53 | | | | | | | | | | | | | | | | % 51.90/8.53 | | | | | | | | | | | | | | | | ALPHA: (2347) implies: % 51.90/8.53 | | | | | | | | | | | | | | | | (2348) product(all_8_3, all_8_3) = all_580_0 % 51.90/8.53 | | | | | | | | | | | | | | | | % 51.90/8.53 | | | | | | | | | | | | | | | | DELTA: instantiating (2283) with fresh symbols all_582_0, % 51.90/8.53 | | | | | | | | | | | | | | | | all_582_1 gives: % 51.90/8.53 | | | | | | | | | | | | | | | | (2349) r(all_8_3, all_8_3) = all_582_0 & product(all_8_3, % 51.90/8.53 | | | | | | | | | | | | | | | | all_8_3) = all_582_1 & $i(all_582_1) & ( ~ % 51.90/8.53 | | | | | | | | | | | | | | | | (all_582_1 = all_8_3) | all_582_0 = 0) % 51.90/8.53 | | | | | | | | | | | | | | | | % 51.90/8.53 | | | | | | | | | | | | | | | | ALPHA: (2349) implies: % 51.90/8.53 | | | | | | | | | | | | | | | | (2350) product(all_8_3, all_8_3) = all_582_1 % 51.90/8.53 | | | | | | | | | | | | | | | | % 51.90/8.53 | | | | | | | | | | | | | | | | DELTA: instantiating (2288) with fresh symbols all_596_0, % 51.90/8.53 | | | | | | | | | | | | | | | | all_596_1 gives: % 51.90/8.53 | | | | | | | | | | | | | | | | (2351) r(all_8_2, all_8_5) = all_596_1 & product(all_8_5, % 51.90/8.53 | | | | | | | | | | | | | | | | all_8_2) = all_596_0 & $i(all_596_0) & ( ~ % 51.90/8.53 | | | | | | | | | | | | | | | | (all_596_1 = 0) | (all_596_0 = all_8_2 & all_8_1 % 51.90/8.53 | | | | | | | | | | | | | | | | = all_8_5)) % 51.90/8.53 | | | | | | | | | | | | | | | | % 51.90/8.53 | | | | | | | | | | | | | | | | ALPHA: (2351) implies: % 51.90/8.53 | | | | | | | | | | | | | | | | (2352) ~ (all_596_1 = 0) | (all_596_0 = all_8_2 & % 51.90/8.53 | | | | | | | | | | | | | | | | all_8_1 = all_8_5) % 51.90/8.53 | | | | | | | | | | | | | | | | % 51.90/8.53 | | | | | | | | | | | | | | | | DELTA: instantiating (2294) with fresh symbols all_610_0, % 51.90/8.53 | | | | | | | | | | | | | | | | all_610_1 gives: % 51.90/8.53 | | | | | | | | | | | | | | | | (2353) l(all_8_1, all_8_2) = all_610_1 & product(all_8_1, % 51.90/8.53 | | | | | | | | | | | | | | | | all_8_2) = all_610_0 & $i(all_610_0) & ( ~ % 51.90/8.53 | | | | | | | | | | | | | | | | (all_610_1 = 0) | (all_610_0 = all_8_2 & all_8_1 % 51.90/8.53 | | | | | | | | | | | | | | | | = all_8_2)) % 51.90/8.53 | | | | | | | | | | | | | | | | % 51.90/8.53 | | | | | | | | | | | | | | | | ALPHA: (2353) implies: % 51.90/8.53 | | | | | | | | | | | | | | | | (2354) product(all_8_1, all_8_2) = all_610_0 % 51.90/8.53 | | | | | | | | | | | | | | | | % 51.90/8.53 | | | | | | | | | | | | | | | | DELTA: instantiating (2296) with fresh symbols all_612_0, % 51.90/8.53 | | | | | | | | | | | | | | | | all_612_1 gives: % 51.90/8.53 | | | | | | | | | | | | | | | | (2355) l(all_8_2, all_8_1) = all_612_1 & product(all_8_1, % 51.90/8.53 | | | | | | | | | | | | | | | | all_8_2) = all_612_0 & $i(all_612_0) & ( ~ % 51.90/8.53 | | | | | | | | | | | | | | | | (all_612_1 = 0) | (all_612_0 = all_8_2 & all_8_1 % 51.90/8.53 | | | | | | | | | | | | | | | | = all_8_2)) % 51.90/8.53 | | | | | | | | | | | | | | | | % 51.90/8.53 | | | | | | | | | | | | | | | | ALPHA: (2355) implies: % 51.90/8.53 | | | | | | | | | | | | | | | | (2356) product(all_8_1, all_8_2) = all_612_0 % 51.90/8.53 | | | | | | | | | | | | | | | | % 51.90/8.53 | | | | | | | | | | | | | | | | BETA: splitting (2352) gives: % 51.90/8.53 | | | | | | | | | | | | | | | | % 51.90/8.53 | | | | | | | | | | | | | | | | Case 1: % 51.90/8.53 | | | | | | | | | | | | | | | | | % 51.90/8.53 | | | | | | | | | | | | | | | | | % 51.90/8.53 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (17) with all_8_1, all_532_0, % 51.90/8.53 | | | | | | | | | | | | | | | | | all_8_5, all_8_6, simplifying with (25), (2321) % 51.90/8.53 | | | | | | | | | | | | | | | | | gives: % 51.90/8.53 | | | | | | | | | | | | | | | | | (2357) all_532_0 = all_8_1 % 51.90/8.53 | | | | | | | | | | | | | | | | | % 51.90/8.53 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (17) with all_8_3, all_520_0, % 51.90/8.53 | | | | | | | | | | | | | | | | | all_8_6, all_8_5, simplifying with (27), (2314) % 51.90/8.53 | | | | | | | | | | | | | | | | | gives: % 51.90/8.53 | | | | | | | | | | | | | | | | | (2358) all_520_0 = all_8_3 % 51.90/8.53 | | | | | | | | | | | | | | | | | % 51.90/8.53 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (17) with all_8_3, all_572_1, % 51.90/8.53 | | | | | | | | | | | | | | | | | all_8_3, all_8_3, simplifying with (2256), (2341) % 51.90/8.53 | | | | | | | | | | | | | | | | | gives: % 51.90/8.53 | | | | | | | | | | | | | | | | | (2359) all_572_1 = all_8_3 % 51.90/8.53 | | | | | | | | | | | | | | | | | % 51.90/8.53 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (17) with all_572_1, all_580_0, % 51.90/8.53 | | | | | | | | | | | | | | | | | all_8_3, all_8_3, simplifying with (2341), (2348) % 51.90/8.53 | | | | | | | | | | | | | | | | | gives: % 51.90/8.53 | | | | | | | | | | | | | | | | | (2360) all_580_0 = all_572_1 % 51.90/8.53 | | | | | | | | | | | | | | | | | % 51.90/8.53 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (17) with all_580_0, all_582_1, % 51.90/8.53 | | | | | | | | | | | | | | | | | all_8_3, all_8_3, simplifying with (2348), (2350) % 51.90/8.53 | | | | | | | | | | | | | | | | | gives: % 51.90/8.53 | | | | | | | | | | | | | | | | | (2361) all_582_1 = all_580_0 % 51.90/8.53 | | | | | | | | | | | | | | | | | % 51.90/8.53 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (17) with all_558_0, all_582_1, % 51.90/8.53 | | | | | | | | | | | | | | | | | all_8_3, all_8_3, simplifying with (2334), (2350) % 51.90/8.53 | | | | | | | | | | | | | | | | | gives: % 51.90/8.53 | | | | | | | | | | | | | | | | | (2362) all_582_1 = all_558_0 % 51.90/8.53 | | | | | | | | | | | | | | | | | % 51.90/8.53 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (17) with all_8_2, all_544_0, % 51.90/8.53 | | | | | | | | | | | | | | | | | all_8_6, all_8_1, simplifying with (157), (2325) % 51.90/8.53 | | | | | | | | | | | | | | | | | gives: % 51.90/8.53 | | | | | | | | | | | | | | | | | (2363) all_544_0 = all_8_2 % 51.90/8.53 | | | | | | | | | | | | | | | | | % 51.90/8.53 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (17) with all_516_0, all_544_0, % 51.90/8.53 | | | | | | | | | | | | | | | | | all_8_6, all_8_1, simplifying with (2312), (2325) % 51.90/8.53 | | | | | | | | | | | | | | | | | gives: % 51.90/8.53 | | | | | | | | | | | | | | | | | (2364) all_544_0 = all_516_0 % 51.90/8.53 | | | | | | | | | | | | | | | | | % 51.90/8.53 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (17) with all_8_2, all_548_0, % 51.90/8.53 | | | | | | | | | | | | | | | | | all_8_3, all_8_1, simplifying with (600), (2328) % 51.90/8.53 | | | | | | | | | | | | | | | | | gives: % 51.90/8.53 | | | | | | | | | | | | | | | | | (2365) all_548_0 = all_8_2 % 51.90/8.53 | | | | | | | | | | | | | | | | | % 51.90/8.53 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (17) with all_548_0, all_556_0, % 51.90/8.53 | | | | | | | | | | | | | | | | | all_8_3, all_8_1, simplifying with (2328), (2332) % 51.90/8.53 | | | | | | | | | | | | | | | | | gives: % 51.90/8.53 | | | | | | | | | | | | | | | | | (2366) all_556_0 = all_548_0 % 51.90/8.53 | | | | | | | | | | | | | | | | | % 51.90/8.53 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (17) with all_530_0, all_556_0, % 51.90/8.53 | | | | | | | | | | | | | | | | | all_8_3, all_8_1, simplifying with (2318), (2332) % 51.90/8.53 | | | | | | | | | | | | | | | | | gives: % 51.90/8.53 | | | | | | | | | | | | | | | | | (2367) all_556_0 = all_530_0 % 51.90/8.53 | | | | | | | | | | | | | | | | | % 51.90/8.53 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (17) with all_524_0, all_556_0, % 51.90/8.53 | | | | | | | | | | | | | | | | | all_8_3, all_8_1, simplifying with (2316), (2332) % 51.90/8.53 | | | | | | | | | | | | | | | | | gives: % 51.90/8.53 | | | | | | | | | | | | | | | | | (2368) all_556_0 = all_524_0 % 51.90/8.53 | | | | | | | | | | | | | | | | | % 51.90/8.53 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (17) with all_512_0, all_536_0, % 51.90/8.53 | | | | | | | | | | | | | | | | | all_8_2, all_8_1, simplifying with (2310), (2323) % 51.90/8.53 | | | | | | | | | | | | | | | | | gives: % 51.90/8.53 | | | | | | | | | | | | | | | | | (2369) all_536_0 = all_512_0 % 51.90/8.53 | | | | | | | | | | | | | | | | | % 51.90/8.53 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (17) with all_536_0, all_564_1, % 51.90/8.53 | | | | | | | | | | | | | | | | | all_8_2, all_8_1, simplifying with (2323), (2336) % 51.90/8.53 | | | | | | | | | | | | | | | | | gives: % 51.90/8.53 | | | | | | | | | | | | | | | | | (2370) all_564_1 = all_536_0 % 51.90/8.53 | | | | | | | | | | | | | | | | | % 51.90/8.53 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (17) with all_564_1, all_570_1, % 51.90/8.53 | | | | | | | | | | | | | | | | | all_8_2, all_8_1, simplifying with (2336), (2338) % 51.90/8.53 | | | | | | | | | | | | | | | | | gives: % 51.90/8.53 | | | | | | | | | | | | | | | | | (2371) all_570_1 = all_564_1 % 51.90/8.53 | | | | | | | | | | | | | | | | | % 51.90/8.53 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (17) with all_570_1, all_574_0, % 51.90/8.53 | | | | | | | | | | | | | | | | | all_8_2, all_8_1, simplifying with (2338), (2344) % 51.90/8.53 | | | | | | | | | | | | | | | | | gives: % 51.90/8.53 | | | | | | | | | | | | | | | | | (2372) all_574_0 = all_570_1 % 51.90/8.53 | | | | | | | | | | | | | | | | | % 51.90/8.53 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (17) with all_576_0, all_610_0, % 51.90/8.53 | | | | | | | | | | | | | | | | | all_8_2, all_8_1, simplifying with (2346), (2354) % 51.90/8.53 | | | | | | | | | | | | | | | | | gives: % 51.90/8.53 | | | | | | | | | | | | | | | | | (2373) all_610_0 = all_576_0 % 51.90/8.53 | | | | | | | | | | | | | | | | | % 51.90/8.53 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (17) with all_564_1, all_610_0, % 51.90/8.53 | | | | | | | | | | | | | | | | | all_8_2, all_8_1, simplifying with (2336), (2354) % 51.90/8.53 | | | | | | | | | | | | | | | | | gives: % 51.90/8.53 | | | | | | | | | | | | | | | | | (2374) all_610_0 = all_564_1 % 51.90/8.53 | | | | | | | | | | | | | | | | | % 51.90/8.53 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (17) with all_550_0, all_610_0, % 51.90/8.53 | | | | | | | | | | | | | | | | | all_8_2, all_8_1, simplifying with (2330), (2354) % 51.90/8.53 | | | | | | | | | | | | | | | | | gives: % 51.90/8.53 | | | | | | | | | | | | | | | | | (2375) all_610_0 = all_550_0 % 51.90/8.53 | | | | | | | | | | | | | | | | | % 51.90/8.53 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (17) with all_574_0, all_612_0, % 51.90/8.53 | | | | | | | | | | | | | | | | | all_8_2, all_8_1, simplifying with (2344), (2356) % 51.90/8.53 | | | | | | | | | | | | | | | | | gives: % 51.90/8.53 | | | | | | | | | | | | | | | | | (2376) all_612_0 = all_574_0 % 51.90/8.53 | | | | | | | | | | | | | | | | | % 51.90/8.53 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (17) with all_510_0, all_612_0, % 51.90/8.53 | | | | | | | | | | | | | | | | | all_8_2, all_8_1, simplifying with (2308), (2356) % 51.90/8.53 | | | | | | | | | | | | | | | | | gives: % 51.90/8.53 | | | | | | | | | | | | | | | | | (2377) all_612_0 = all_510_0 % 51.90/8.53 | | | | | | | | | | | | | | | | | % 51.90/8.53 | | | | | | | | | | | | | | | | | COMBINE_EQS: (2376), (2377) imply: % 51.90/8.53 | | | | | | | | | | | | | | | | | (2378) all_574_0 = all_510_0 % 51.90/8.53 | | | | | | | | | | | | | | | | | % 51.90/8.53 | | | | | | | | | | | | | | | | | SIMP: (2378) implies: % 51.90/8.53 | | | | | | | | | | | | | | | | | (2379) all_574_0 = all_510_0 % 51.90/8.53 | | | | | | | | | | | | | | | | | % 51.90/8.53 | | | | | | | | | | | | | | | | | COMBINE_EQS: (2373), (2375) imply: % 51.90/8.53 | | | | | | | | | | | | | | | | | (2380) all_576_0 = all_550_0 % 51.90/8.53 | | | | | | | | | | | | | | | | | % 51.90/8.53 | | | | | | | | | | | | | | | | | COMBINE_EQS: (2373), (2374) imply: % 51.90/8.53 | | | | | | | | | | | | | | | | | (2381) all_576_0 = all_564_1 % 51.90/8.53 | | | | | | | | | | | | | | | | | % 51.90/8.53 | | | | | | | | | | | | | | | | | COMBINE_EQS: (2361), (2362) imply: % 51.90/8.53 | | | | | | | | | | | | | | | | | (2382) all_580_0 = all_558_0 % 51.90/8.53 | | | | | | | | | | | | | | | | | % 51.90/8.53 | | | | | | | | | | | | | | | | | SIMP: (2382) implies: % 51.90/8.53 | | | | | | | | | | | | | | | | | (2383) all_580_0 = all_558_0 % 51.90/8.53 | | | | | | | | | | | | | | | | | % 51.90/8.53 | | | | | | | | | | | | | | | | | COMBINE_EQS: (2360), (2383) imply: % 51.90/8.53 | | | | | | | | | | | | | | | | | (2384) all_572_1 = all_558_0 % 51.90/8.53 | | | | | | | | | | | | | | | | | % 51.90/8.53 | | | | | | | | | | | | | | | | | SIMP: (2384) implies: % 51.90/8.53 | | | | | | | | | | | | | | | | | (2385) all_572_1 = all_558_0 % 51.90/8.53 | | | | | | | | | | | | | | | | | % 51.90/8.53 | | | | | | | | | | | | | | | | | COMBINE_EQS: (2380), (2381) imply: % 51.90/8.53 | | | | | | | | | | | | | | | | | (2386) all_564_1 = all_550_0 % 51.90/8.53 | | | | | | | | | | | | | | | | | % 51.90/8.53 | | | | | | | | | | | | | | | | | SIMP: (2386) implies: % 51.90/8.53 | | | | | | | | | | | | | | | | | (2387) all_564_1 = all_550_0 % 51.90/8.53 | | | | | | | | | | | | | | | | | % 51.90/8.53 | | | | | | | | | | | | | | | | | COMBINE_EQS: (2372), (2379) imply: % 51.90/8.53 | | | | | | | | | | | | | | | | | (2388) all_570_1 = all_510_0 % 51.90/8.53 | | | | | | | | | | | | | | | | | % 51.90/8.53 | | | | | | | | | | | | | | | | | SIMP: (2388) implies: % 51.90/8.53 | | | | | | | | | | | | | | | | | (2389) all_570_1 = all_510_0 % 51.90/8.53 | | | | | | | | | | | | | | | | | % 51.90/8.53 | | | | | | | | | | | | | | | | | COMBINE_EQS: (2359), (2385) imply: % 51.90/8.53 | | | | | | | | | | | | | | | | | (2390) all_558_0 = all_8_3 % 51.90/8.53 | | | | | | | | | | | | | | | | | % 51.90/8.53 | | | | | | | | | | | | | | | | | COMBINE_EQS: (2371), (2389) imply: % 51.90/8.53 | | | | | | | | | | | | | | | | | (2391) all_564_1 = all_510_0 % 51.90/8.53 | | | | | | | | | | | | | | | | | % 51.90/8.53 | | | | | | | | | | | | | | | | | SIMP: (2391) implies: % 51.90/8.53 | | | | | | | | | | | | | | | | | (2392) all_564_1 = all_510_0 % 51.90/8.53 | | | | | | | | | | | | | | | | | % 51.90/8.53 | | | | | | | | | | | | | | | | | COMBINE_EQS: (2370), (2387) imply: % 51.90/8.53 | | | | | | | | | | | | | | | | | (2393) all_550_0 = all_536_0 % 51.90/8.53 | | | | | | | | | | | | | | | | | % 51.90/8.53 | | | | | | | | | | | | | | | | | COMBINE_EQS: (2387), (2392) imply: % 51.90/8.53 | | | | | | | | | | | | | | | | | (2394) all_550_0 = all_510_0 % 51.90/8.53 | | | | | | | | | | | | | | | | | % 51.90/8.53 | | | | | | | | | | | | | | | | | COMBINE_EQS: (2366), (2367) imply: % 51.90/8.53 | | | | | | | | | | | | | | | | | (2395) all_548_0 = all_530_0 % 51.90/8.53 | | | | | | | | | | | | | | | | | % 51.90/8.53 | | | | | | | | | | | | | | | | | SIMP: (2395) implies: % 51.90/8.53 | | | | | | | | | | | | | | | | | (2396) all_548_0 = all_530_0 % 51.90/8.53 | | | | | | | | | | | | | | | | | % 51.90/8.53 | | | | | | | | | | | | | | | | | COMBINE_EQS: (2367), (2368) imply: % 51.90/8.53 | | | | | | | | | | | | | | | | | (2397) all_530_0 = all_524_0 % 51.90/8.53 | | | | | | | | | | | | | | | | | % 51.90/8.53 | | | | | | | | | | | | | | | | | COMBINE_EQS: (2393), (2394) imply: % 51.90/8.53 | | | | | | | | | | | | | | | | | (2398) all_536_0 = all_510_0 % 51.90/8.53 | | | | | | | | | | | | | | | | | % 51.90/8.53 | | | | | | | | | | | | | | | | | SIMP: (2398) implies: % 51.90/8.53 | | | | | | | | | | | | | | | | | (2399) all_536_0 = all_510_0 % 51.90/8.53 | | | | | | | | | | | | | | | | | % 51.90/8.53 | | | | | | | | | | | | | | | | | COMBINE_EQS: (2365), (2396) imply: % 51.90/8.53 | | | | | | | | | | | | | | | | | (2400) all_530_0 = all_8_2 % 51.90/8.53 | | | | | | | | | | | | | | | | | % 51.90/8.53 | | | | | | | | | | | | | | | | | SIMP: (2400) implies: % 51.90/8.54 | | | | | | | | | | | | | | | | | (2401) all_530_0 = all_8_2 % 51.90/8.54 | | | | | | | | | | | | | | | | | % 51.90/8.54 | | | | | | | | | | | | | | | | | COMBINE_EQS: (2363), (2364) imply: % 51.90/8.54 | | | | | | | | | | | | | | | | | (2402) all_516_0 = all_8_2 % 51.90/8.54 | | | | | | | | | | | | | | | | | % 51.90/8.54 | | | | | | | | | | | | | | | | | COMBINE_EQS: (2369), (2399) imply: % 51.90/8.54 | | | | | | | | | | | | | | | | | (2403) all_512_0 = all_510_0 % 51.90/8.54 | | | | | | | | | | | | | | | | | % 51.90/8.54 | | | | | | | | | | | | | | | | | SIMP: (2403) implies: % 51.90/8.54 | | | | | | | | | | | | | | | | | (2404) all_512_0 = all_510_0 % 51.90/8.54 | | | | | | | | | | | | | | | | | % 51.90/8.54 | | | | | | | | | | | | | | | | | COMBINE_EQS: (2397), (2401) imply: % 51.90/8.54 | | | | | | | | | | | | | | | | | (2405) all_524_0 = all_8_2 % 51.90/8.54 | | | | | | | | | | | | | | | | | % 51.90/8.54 | | | | | | | | | | | | | | | | | SIMP: (2405) implies: % 51.90/8.54 | | | | | | | | | | | | | | | | | (2406) all_524_0 = all_8_2 % 51.90/8.54 | | | | | | | | | | | | | | | | | % 51.90/8.54 | | | | | | | | | | | | | | | | | REDUCE: (2326), (2363) imply: % 51.90/8.54 | | | | | | | | | | | | | | | | | (2407) product(all_8_1, all_8_2) = all_8_2 % 51.90/8.54 | | | | | | | | | | | | | | | | | % 51.90/8.54 | | | | | | | | | | | | | | | | | BETA: splitting (2342) gives: % 51.90/8.54 | | | | | | | | | | | | | | | | | % 51.90/8.54 | | | | | | | | | | | | | | | | | Case 1: % 51.90/8.54 | | | | | | | | | | | | | | | | | | % 51.90/8.54 | | | | | | | | | | | | | | | | | | (2408) ~ (all_572_1 = all_8_3) % 51.90/8.54 | | | | | | | | | | | | | | | | | | % 51.90/8.54 | | | | | | | | | | | | | | | | | | REDUCE: (2359), (2408) imply: % 51.90/8.54 | | | | | | | | | | | | | | | | | | (2409) $false % 51.90/8.54 | | | | | | | | | | | | | | | | | | % 51.90/8.54 | | | | | | | | | | | | | | | | | | CLOSE: (2409) is inconsistent. % 51.90/8.54 | | | | | | | | | | | | | | | | | | % 51.90/8.54 | | | | | | | | | | | | | | | | | Case 2: % 51.90/8.54 | | | | | | | | | | | | | | | | | | % 51.90/8.54 | | | | | | | | | | | | | | | | | | % 51.90/8.54 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (17) with all_510_0, all_8_2, % 51.90/8.54 | | | | | | | | | | | | | | | | | | all_8_2, all_8_1, simplifying with (2308), (2407) % 51.90/8.54 | | | | | | | | | | | | | | | | | | gives: % 51.90/8.54 | | | | | | | | | | | | | | | | | | (2410) all_510_0 = all_8_2 % 51.90/8.54 | | | | | | | | | | | | | | | | | | % 51.90/8.54 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2389), (2410) imply: % 51.90/8.54 | | | | | | | | | | | | | | | | | | (2411) all_570_1 = all_8_2 % 51.90/8.54 | | | | | | | | | | | | | | | | | | % 51.90/8.54 | | | | | | | | | | | | | | | | | | BETA: splitting (2339) gives: % 51.90/8.54 | | | | | | | | | | | | | | | | | | % 51.90/8.54 | | | | | | | | | | | | | | | | | | Case 1: % 51.90/8.54 | | | | | | | | | | | | | | | | | | | % 51.90/8.54 | | | | | | | | | | | | | | | | | | | (2412) ~ (all_570_1 = all_8_2) % 51.90/8.54 | | | | | | | | | | | | | | | | | | | % 51.90/8.54 | | | | | | | | | | | | | | | | | | | REDUCE: (2411), (2412) imply: % 51.90/8.54 | | | | | | | | | | | | | | | | | | | (2413) $false % 51.90/8.54 | | | | | | | | | | | | | | | | | | | % 51.90/8.54 | | | | | | | | | | | | | | | | | | | CLOSE: (2413) is inconsistent. % 51.90/8.54 | | | | | | | | | | | | | | | | | | | % 51.90/8.54 | | | | | | | | | | | | | | | | | | Case 2: % 51.90/8.54 | | | | | | | | | | | | | | | | | | | % 51.90/8.54 | | | | | | | | | | | | | | | | | | | % 51.90/8.54 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with all_8_1, all_366_0, % 51.90/8.54 | | | | | | | | | | | | | | | | | | | all_8_5, all_8_5, all_8_5, simplifying with (22), % 51.90/8.54 | | | | | | | | | | | | | | | | | | | (24), (2074), (2139), (2302) gives: % 51.90/8.54 | | | | | | | | | | | | | | | | | | | (2414) ? [v0: $i] : (product(all_366_0, all_8_1) = v0 & % 51.90/8.54 | | | | | | | | | | | | | | | | | | | product(all_8_5, v0) = all_8_5 & $i(v0)) % 51.90/8.54 | | | | | | | | | | | | | | | | | | | % 51.90/8.54 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (1) with all_366_0, all_8_6, % 51.90/8.54 | | | | | | | | | | | | | | | | | | | all_8_5, all_366_0, all_8_5, simplifying with % 51.90/8.54 | | | | | | | | | | | | | | | | | | | (21), (22), (2139), (2302), (2305) gives: % 51.90/8.54 | | | | | | | | | | | | | | | | | | | (2415) ? [v0: $i] : (product(v0, all_366_0) = all_8_5 & % 51.90/8.54 | | | | | | | | | | | | | | | | | | | product(all_8_5, all_8_6) = v0 & $i(v0)) % 51.90/8.54 | | | | | | | | | | | | | | | | | | | % 51.90/8.54 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with all_8_5, all_366_0, % 51.90/8.54 | | | | | | | | | | | | | | | | | | | simplifying with (22), (2139), (2302) gives: % 51.90/8.54 | | | | | | | | | | | | | | | | | | | (2416) ? [v0: $i] : ? [v1: any] : (l(all_8_5, % 51.90/8.54 | | | | | | | | | | | | | | | | | | | all_366_0) = v1 & product(all_366_0, all_8_5) % 51.90/8.54 | | | | | | | | | | | | | | | | | | | = v0 & $i(v0) & ( ~ (v0 = all_366_0) | v1 = 0)) % 51.90/8.54 | | | | | | | | | | | | | | | | | | | % 51.90/8.54 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (13) with all_366_0, all_8_5, % 51.90/8.54 | | | | | | | | | | | | | | | | | | | all_8_5, simplifying with (22), (2139), (2302) % 51.90/8.54 | | | | | | | | | | | | | | | | | | | gives: % 51.90/8.54 | | | | | | | | | | | | | | | | | | | (2417) ? [v0: any] : ? [v1: $i] : (r(all_366_0, % 51.90/8.54 | | | | | | | | | | | | | | | | | | | all_8_5) = v0 & product(all_366_0, all_8_5) = % 51.90/8.54 | | | | | | | | | | | | | | | | | | | v1 & $i(v1) & ( ~ (v0 = 0) | (v1 = all_8_5 & % 51.90/8.54 | | | | | | | | | | | | | | | | | | | all_366_0 = all_8_5))) % 51.90/8.54 | | | | | | | | | | | | | | | | | | | % 51.90/8.54 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (12) with all_8_5, all_366_0, % 51.90/8.54 | | | | | | | | | | | | | | | | | | | all_8_5, simplifying with (22), (2139), (2302) % 51.90/8.54 | | | | | | | | | | | | | | | | | | | gives: % 51.90/8.54 | | | | | | | | | | | | | | | | | | | (2418) ? [v0: any] : ? [v1: $i] : (r(all_8_5, % 51.90/8.54 | | | | | | | | | | | | | | | | | | | all_366_0) = v0 & product(all_366_0, all_8_5) % 51.90/8.54 | | | | | | | | | | | | | | | | | | | = v1 & $i(v1) & ( ~ (v0 = 0) | (v1 = all_8_5 & % 51.90/8.54 | | | | | | | | | | | | | | | | | | | all_366_0 = all_8_5))) % 51.90/8.54 | | | | | | | | | | | | | | | | | | | % 51.90/8.54 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (6) with all_8_5, all_366_0, % 51.90/8.54 | | | | | | | | | | | | | | | | | | | all_8_5, simplifying with (22), (2139), (2302) % 51.90/8.54 | | | | | | | | | | | | | | | | | | | gives: % 51.90/8.54 | | | | | | | | | | | | | | | | | | | (2419) ? [v0: any] : ? [v1: $i] : (l(all_8_5, % 51.90/8.54 | | | | | | | | | | | | | | | | | | | all_366_0) = v0 & product(all_366_0, all_8_5) % 51.90/8.54 | | | | | | | | | | | | | | | | | | | = v1 & $i(v1) & ( ~ (v0 = 0) | v1 = all_366_0)) % 51.90/8.54 | | | | | | | | | | | | | | | | | | | % 51.90/8.54 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with all_8_1, all_8_6, % 51.90/8.54 | | | | | | | | | | | | | | | | | | | all_366_0, all_8_6, all_8_1, simplifying with % 51.90/8.54 | | | | | | | | | | | | | | | | | | | (21), (24), (449), (2139), (2306) gives: % 51.90/8.54 | | | | | | | | | | | | | | | | | | | (2420) ? [v0: $i] : (product(all_366_0, v0) = all_8_1 & % 51.90/8.54 | | | | | | | | | | | | | | | | | | | product(all_8_6, all_8_1) = v0 & $i(v0)) % 51.90/8.54 | | | | | | | | | | | | | | | | | | | % 51.90/8.54 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with all_366_0, all_8_6, % 51.90/8.54 | | | | | | | | | | | | | | | | | | | all_366_0, all_8_6, all_366_0, simplifying with % 51.90/8.54 | | | | | | | | | | | | | | | | | | | (21), (2139), (2305), (2306) gives: % 51.90/8.54 | | | | | | | | | | | | | | | | | | | (2421) ? [v0: $i] : (product(all_366_0, v0) = all_366_0 % 51.90/8.54 | | | | | | | | | | | | | | | | | | | & product(all_8_6, all_366_0) = v0 & $i(v0)) % 51.90/8.54 | | | | | | | | | | | | | | | | | | | % 51.90/8.54 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (9) with all_366_0, all_8_6, % 51.90/8.54 | | | | | | | | | | | | | | | | | | | simplifying with (21), (2139), (2306) gives: % 51.90/8.54 | | | | | | | | | | | | | | | | | | | (2422) ? [v0: $i] : ? [v1: any] : (r(all_366_0, % 51.90/8.54 | | | | | | | | | | | | | | | | | | | all_8_6) = v1 & product(all_8_6, all_366_0) = % 51.90/8.54 | | | | | | | | | | | | | | | | | | | v0 & $i(v0) & ( ~ (v0 = all_366_0) | v1 = 0)) % 51.90/8.54 | | | | | | | | | | | | | | | | | | | % 51.90/8.54 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (7) with all_8_6, all_366_0, % 51.90/8.54 | | | | | | | | | | | | | | | | | | | all_8_6, simplifying with (21), (2139), (2306) % 51.90/8.54 | | | | | | | | | | | | | | | | | | | gives: % 51.90/8.54 | | | | | | | | | | | | | | | | | | | (2423) ? [v0: any] : ? [v1: $i] : (l(all_8_6, % 51.90/8.54 | | | | | | | | | | | | | | | | | | | all_366_0) = v0 & product(all_8_6, all_366_0) % 51.90/8.54 | | | | | | | | | | | | | | | | | | | = v1 & $i(v1) & ( ~ (v0 = 0) | (v1 = all_8_6 & % 51.90/8.54 | | | | | | | | | | | | | | | | | | | all_366_0 = all_8_6))) % 51.90/8.54 | | | | | | | | | | | | | | | | | | | % 51.90/8.54 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (12) with all_366_0, all_8_6, % 51.90/8.54 | | | | | | | | | | | | | | | | | | | all_8_6, simplifying with (21), (2139), (2306) % 51.90/8.54 | | | | | | | | | | | | | | | | | | | gives: % 51.90/8.54 | | | | | | | | | | | | | | | | | | | (2424) ? [v0: any] : ? [v1: $i] : (r(all_366_0, % 51.90/8.54 | | | | | | | | | | | | | | | | | | | all_8_6) = v0 & product(all_8_6, all_366_0) = % 51.90/8.54 | | | | | | | | | | | | | | | | | | | v1 & $i(v1) & ( ~ (v0 = 0) | v1 = all_366_0)) % 51.90/8.54 | | | | | | | | | | | | | | | | | | | % 51.90/8.54 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (6) with all_366_0, all_8_6, % 51.90/8.54 | | | | | | | | | | | | | | | | | | | all_8_6, simplifying with (21), (2139), (2306) % 51.90/8.54 | | | | | | | | | | | | | | | | | | | gives: % 51.90/8.54 | | | | | | | | | | | | | | | | | | | (2425) ? [v0: any] : ? [v1: $i] : (l(all_366_0, % 51.90/8.54 | | | | | | | | | | | | | | | | | | | all_8_6) = v0 & product(all_8_6, all_366_0) = % 51.90/8.54 | | | | | | | | | | | | | | | | | | | v1 & $i(v1) & ( ~ (v0 = 0) | (v1 = all_8_6 & % 51.90/8.54 | | | | | | | | | | | | | | | | | | | all_366_0 = all_8_6))) % 51.90/8.54 | | | | | | | | | | | | | | | | | | | % 51.90/8.54 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (1) with all_8_1, all_8_5, % 51.90/8.54 | | | | | | | | | | | | | | | | | | | all_366_0, all_8_5, all_366_0, simplifying with % 51.90/8.54 | | | | | | | | | | | | | | | | | | | (22), (24), (2074), (2139), (2303) gives: % 51.90/8.54 | | | | | | | | | | | | | | | | | | | (2426) ? [v0: $i] : (product(v0, all_8_1) = all_366_0 & % 51.90/8.54 | | | | | | | | | | | | | | | | | | | product(all_366_0, all_8_5) = v0 & $i(v0)) % 51.90/8.54 | | | | | | | | | | | | | | | | | | | % 51.90/8.54 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with all_8_6, all_8_5, % 51.90/8.54 | | | | | | | | | | | | | | | | | | | all_366_0, all_366_0, all_8_6, simplifying with % 51.90/8.54 | | | | | | | | | | | | | | | | | | | (21), (22), (2139), (2303), (2306) gives: % 51.90/8.54 | | | | | | | | | | | | | | | | | | | (2427) ? [v0: $i] : (product(all_366_0, v0) = all_8_6 & % 51.90/8.54 | | | | | | | | | | | | | | | | | | | product(all_8_5, all_8_6) = v0 & $i(v0)) % 51.90/8.54 | | | | | | | | | | | | | | | | | | | % 51.90/8.54 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (1) with all_366_0, all_8_5, % 51.90/8.54 | | | | | | | | | | | | | | | | | | | all_366_0, all_8_5, all_366_0, simplifying with % 51.90/8.54 | | | | | | | | | | | | | | | | | | | (22), (2139), (2302), (2303) gives: % 51.90/8.54 | | | | | | | | | | | | | | | | | | | (2428) ? [v0: $i] : (product(v0, all_366_0) = all_366_0 % 51.90/8.54 | | | | | | | | | | | | | | | | | | | & product(all_366_0, all_8_5) = v0 & $i(v0)) % 51.90/8.54 | | | | | | | | | | | | | | | | | | | % 51.90/8.54 | | | | | | | | | | | | | | | | | | | DELTA: instantiating (2428) with fresh symbol all_675_0 % 51.90/8.54 | | | | | | | | | | | | | | | | | | | gives: % 51.90/8.54 | | | | | | | | | | | | | | | | | | | (2429) product(all_675_0, all_366_0) = all_366_0 & % 51.90/8.54 | | | | | | | | | | | | | | | | | | | product(all_366_0, all_8_5) = all_675_0 & % 51.90/8.54 | | | | | | | | | | | | | | | | | | | $i(all_675_0) % 51.90/8.54 | | | | | | | | | | | | | | | | | | | % 51.90/8.54 | | | | | | | | | | | | | | | | | | | ALPHA: (2429) implies: % 51.90/8.54 | | | | | | | | | | | | | | | | | | | (2430) product(all_366_0, all_8_5) = all_675_0 % 51.90/8.54 | | | | | | | | | | | | | | | | | | | % 51.90/8.54 | | | | | | | | | | | | | | | | | | | DELTA: instantiating (2427) with fresh symbol all_677_0 % 51.90/8.54 | | | | | | | | | | | | | | | | | | | gives: % 51.90/8.54 | | | | | | | | | | | | | | | | | | | (2431) product(all_366_0, all_677_0) = all_8_6 & % 51.90/8.54 | | | | | | | | | | | | | | | | | | | product(all_8_5, all_8_6) = all_677_0 & % 51.90/8.54 | | | | | | | | | | | | | | | | | | | $i(all_677_0) % 51.90/8.54 | | | | | | | | | | | | | | | | | | | % 51.90/8.54 | | | | | | | | | | | | | | | | | | | ALPHA: (2431) implies: % 51.90/8.54 | | | | | | | | | | | | | | | | | | | (2432) product(all_8_5, all_8_6) = all_677_0 % 51.90/8.54 | | | | | | | | | | | | | | | | | | | (2433) product(all_366_0, all_677_0) = all_8_6 % 51.90/8.54 | | | | | | | | | | | | | | | | | | | % 51.90/8.54 | | | | | | | | | | | | | | | | | | | DELTA: instantiating (2426) with fresh symbol all_681_0 % 51.90/8.54 | | | | | | | | | | | | | | | | | | | gives: % 51.90/8.54 | | | | | | | | | | | | | | | | | | | (2434) product(all_681_0, all_8_1) = all_366_0 & % 51.90/8.54 | | | | | | | | | | | | | | | | | | | product(all_366_0, all_8_5) = all_681_0 & % 51.90/8.54 | | | | | | | | | | | | | | | | | | | $i(all_681_0) % 51.90/8.54 | | | | | | | | | | | | | | | | | | | % 51.90/8.54 | | | | | | | | | | | | | | | | | | | ALPHA: (2434) implies: % 51.90/8.54 | | | | | | | | | | | | | | | | | | | (2435) product(all_366_0, all_8_5) = all_681_0 % 51.90/8.54 | | | | | | | | | | | | | | | | | | | (2436) product(all_681_0, all_8_1) = all_366_0 % 51.90/8.54 | | | | | | | | | | | | | | | | | | | % 51.90/8.54 | | | | | | | | | | | | | | | | | | | DELTA: instantiating (2421) with fresh symbol all_683_0 % 51.90/8.54 | | | | | | | | | | | | | | | | | | | gives: % 51.90/8.54 | | | | | | | | | | | | | | | | | | | (2437) product(all_366_0, all_683_0) = all_366_0 & % 51.90/8.54 | | | | | | | | | | | | | | | | | | | product(all_8_6, all_366_0) = all_683_0 & % 51.90/8.54 | | | | | | | | | | | | | | | | | | | $i(all_683_0) % 51.90/8.54 | | | | | | | | | | | | | | | | | | | % 51.90/8.54 | | | | | | | | | | | | | | | | | | | ALPHA: (2437) implies: % 51.90/8.54 | | | | | | | | | | | | | | | | | | | (2438) product(all_8_6, all_366_0) = all_683_0 % 51.90/8.54 | | | | | | | | | | | | | | | | | | | % 51.90/8.54 | | | | | | | | | | | | | | | | | | | DELTA: instantiating (2420) with fresh symbol all_689_0 % 51.90/8.54 | | | | | | | | | | | | | | | | | | | gives: % 51.90/8.54 | | | | | | | | | | | | | | | | | | | (2439) product(all_366_0, all_689_0) = all_8_1 & % 51.90/8.54 | | | | | | | | | | | | | | | | | | | product(all_8_6, all_8_1) = all_689_0 & % 51.90/8.54 | | | | | | | | | | | | | | | | | | | $i(all_689_0) % 51.90/8.54 | | | | | | | | | | | | | | | | | | | % 51.90/8.54 | | | | | | | | | | | | | | | | | | | ALPHA: (2439) implies: % 51.90/8.54 | | | | | | | | | | | | | | | | | | | (2440) product(all_8_6, all_8_1) = all_689_0 % 51.90/8.54 | | | | | | | | | | | | | | | | | | | (2441) product(all_366_0, all_689_0) = all_8_1 % 51.90/8.54 | | | | | | | | | | | | | | | | | | | % 51.90/8.54 | | | | | | | | | | | | | | | | | | | DELTA: instantiating (2415) with fresh symbol all_697_0 % 51.90/8.54 | | | | | | | | | | | | | | | | | | | gives: % 51.90/8.54 | | | | | | | | | | | | | | | | | | | (2442) product(all_697_0, all_366_0) = all_8_5 & % 51.90/8.54 | | | | | | | | | | | | | | | | | | | product(all_8_5, all_8_6) = all_697_0 & % 51.90/8.54 | | | | | | | | | | | | | | | | | | | $i(all_697_0) % 51.90/8.54 | | | | | | | | | | | | | | | | | | | % 51.90/8.54 | | | | | | | | | | | | | | | | | | | ALPHA: (2442) implies: % 51.90/8.54 | | | | | | | | | | | | | | | | | | | (2443) product(all_8_5, all_8_6) = all_697_0 % 51.90/8.54 | | | | | | | | | | | | | | | | | | | % 51.90/8.54 | | | | | | | | | | | | | | | | | | | DELTA: instantiating (2414) with fresh symbol all_707_0 % 51.90/8.54 | | | | | | | | | | | | | | | | | | | gives: % 51.90/8.54 | | | | | | | | | | | | | | | | | | | (2444) product(all_366_0, all_8_1) = all_707_0 & % 51.90/8.54 | | | | | | | | | | | | | | | | | | | product(all_8_5, all_707_0) = all_8_5 & % 51.90/8.54 | | | | | | | | | | | | | | | | | | | $i(all_707_0) % 51.90/8.54 | | | | | | | | | | | | | | | | | | | % 51.90/8.54 | | | | | | | | | | | | | | | | | | | ALPHA: (2444) implies: % 51.90/8.54 | | | | | | | | | | | | | | | | | | | (2445) product(all_366_0, all_8_1) = all_707_0 % 51.90/8.54 | | | | | | | | | | | | | | | | | | | % 51.90/8.54 | | | | | | | | | | | | | | | | | | | DELTA: instantiating (2416) with fresh symbols all_727_0, % 51.90/8.54 | | | | | | | | | | | | | | | | | | | all_727_1 gives: % 51.90/8.54 | | | | | | | | | | | | | | | | | | | (2446) l(all_8_5, all_366_0) = all_727_0 & % 51.90/8.54 | | | | | | | | | | | | | | | | | | | product(all_366_0, all_8_5) = all_727_1 & % 51.90/8.54 | | | | | | | | | | | | | | | | | | | $i(all_727_1) & ( ~ (all_727_1 = all_366_0) | % 51.90/8.54 | | | | | | | | | | | | | | | | | | | all_727_0 = 0) % 51.90/8.54 | | | | | | | | | | | | | | | | | | | % 51.90/8.54 | | | | | | | | | | | | | | | | | | | ALPHA: (2446) implies: % 51.90/8.54 | | | | | | | | | | | | | | | | | | | (2447) product(all_366_0, all_8_5) = all_727_1 % 51.90/8.54 | | | | | | | | | | | | | | | | | | | % 51.90/8.54 | | | | | | | | | | | | | | | | | | | DELTA: instantiating (2419) with fresh symbols all_735_0, % 51.90/8.54 | | | | | | | | | | | | | | | | | | | all_735_1 gives: % 51.90/8.54 | | | | | | | | | | | | | | | | | | | (2448) l(all_8_5, all_366_0) = all_735_1 & % 51.90/8.54 | | | | | | | | | | | | | | | | | | | product(all_366_0, all_8_5) = all_735_0 & % 51.90/8.54 | | | | | | | | | | | | | | | | | | | $i(all_735_0) & ( ~ (all_735_1 = 0) | all_735_0 = % 51.90/8.55 | | | | | | | | | | | | | | | | | | | all_366_0) % 51.90/8.55 | | | | | | | | | | | | | | | | | | | % 51.90/8.55 | | | | | | | | | | | | | | | | | | | ALPHA: (2448) implies: % 51.90/8.55 | | | | | | | | | | | | | | | | | | | (2449) product(all_366_0, all_8_5) = all_735_0 % 51.90/8.55 | | | | | | | | | | | | | | | | | | | % 51.90/8.55 | | | | | | | | | | | | | | | | | | | DELTA: instantiating (2422) with fresh symbols all_737_0, % 51.90/8.55 | | | | | | | | | | | | | | | | | | | all_737_1 gives: % 51.90/8.55 | | | | | | | | | | | | | | | | | | | (2450) r(all_366_0, all_8_6) = all_737_0 & % 51.90/8.55 | | | | | | | | | | | | | | | | | | | product(all_8_6, all_366_0) = all_737_1 & % 51.90/8.55 | | | | | | | | | | | | | | | | | | | $i(all_737_1) & ( ~ (all_737_1 = all_366_0) | % 51.90/8.55 | | | | | | | | | | | | | | | | | | | all_737_0 = 0) % 51.90/8.55 | | | | | | | | | | | | | | | | | | | % 51.90/8.55 | | | | | | | | | | | | | | | | | | | ALPHA: (2450) implies: % 51.90/8.55 | | | | | | | | | | | | | | | | | | | (2451) product(all_8_6, all_366_0) = all_737_1 % 51.90/8.55 | | | | | | | | | | | | | | | | | | | (2452) ~ (all_737_1 = all_366_0) | all_737_0 = 0 % 51.90/8.55 | | | | | | | | | | | | | | | | | | | % 51.90/8.55 | | | | | | | | | | | | | | | | | | | DELTA: instantiating (2424) with fresh symbols all_743_0, % 51.90/8.55 | | | | | | | | | | | | | | | | | | | all_743_1 gives: % 51.90/8.55 | | | | | | | | | | | | | | | | | | | (2453) r(all_366_0, all_8_6) = all_743_1 & % 51.90/8.55 | | | | | | | | | | | | | | | | | | | product(all_8_6, all_366_0) = all_743_0 & % 51.90/8.55 | | | | | | | | | | | | | | | | | | | $i(all_743_0) & ( ~ (all_743_1 = 0) | all_743_0 = % 51.90/8.55 | | | | | | | | | | | | | | | | | | | all_366_0) % 51.90/8.55 | | | | | | | | | | | | | | | | | | | % 51.90/8.55 | | | | | | | | | | | | | | | | | | | ALPHA: (2453) implies: % 51.90/8.55 | | | | | | | | | | | | | | | | | | | (2454) product(all_8_6, all_366_0) = all_743_0 % 51.90/8.55 | | | | | | | | | | | | | | | | | | | % 51.90/8.55 | | | | | | | | | | | | | | | | | | | DELTA: instantiating (2423) with fresh symbols all_747_0, % 51.90/8.55 | | | | | | | | | | | | | | | | | | | all_747_1 gives: % 51.90/8.55 | | | | | | | | | | | | | | | | | | | (2455) l(all_8_6, all_366_0) = all_747_1 & % 51.90/8.55 | | | | | | | | | | | | | | | | | | | product(all_8_6, all_366_0) = all_747_0 & % 51.90/8.55 | | | | | | | | | | | | | | | | | | | $i(all_747_0) & ( ~ (all_747_1 = 0) | (all_747_0 = % 51.90/8.55 | | | | | | | | | | | | | | | | | | | all_8_6 & all_366_0 = all_8_6)) % 51.90/8.55 | | | | | | | | | | | | | | | | | | | % 51.90/8.55 | | | | | | | | | | | | | | | | | | | ALPHA: (2455) implies: % 51.90/8.55 | | | | | | | | | | | | | | | | | | | (2456) product(all_8_6, all_366_0) = all_747_0 % 51.90/8.55 | | | | | | | | | | | | | | | | | | | % 51.90/8.55 | | | | | | | | | | | | | | | | | | | DELTA: instantiating (2417) with fresh symbols all_753_0, % 51.90/8.55 | | | | | | | | | | | | | | | | | | | all_753_1 gives: % 51.90/8.55 | | | | | | | | | | | | | | | | | | | (2457) r(all_366_0, all_8_5) = all_753_1 & % 51.90/8.55 | | | | | | | | | | | | | | | | | | | product(all_366_0, all_8_5) = all_753_0 & % 51.90/8.55 | | | | | | | | | | | | | | | | | | | $i(all_753_0) & ( ~ (all_753_1 = 0) | (all_753_0 = % 51.90/8.55 | | | | | | | | | | | | | | | | | | | all_8_5 & all_366_0 = all_8_5)) % 51.90/8.55 | | | | | | | | | | | | | | | | | | | % 51.90/8.55 | | | | | | | | | | | | | | | | | | | ALPHA: (2457) implies: % 51.90/8.55 | | | | | | | | | | | | | | | | | | | (2458) product(all_366_0, all_8_5) = all_753_0 % 51.90/8.55 | | | | | | | | | | | | | | | | | | | % 51.90/8.55 | | | | | | | | | | | | | | | | | | | DELTA: instantiating (2418) with fresh symbols all_755_0, % 51.90/8.55 | | | | | | | | | | | | | | | | | | | all_755_1 gives: % 51.90/8.55 | | | | | | | | | | | | | | | | | | | (2459) r(all_8_5, all_366_0) = all_755_1 & % 51.90/8.55 | | | | | | | | | | | | | | | | | | | product(all_366_0, all_8_5) = all_755_0 & % 51.90/8.55 | | | | | | | | | | | | | | | | | | | $i(all_755_0) & ( ~ (all_755_1 = 0) | (all_755_0 = % 51.90/8.55 | | | | | | | | | | | | | | | | | | | all_8_5 & all_366_0 = all_8_5)) % 51.90/8.55 | | | | | | | | | | | | | | | | | | | % 51.90/8.55 | | | | | | | | | | | | | | | | | | | ALPHA: (2459) implies: % 51.90/8.55 | | | | | | | | | | | | | | | | | | | (2460) product(all_366_0, all_8_5) = all_755_0 % 51.90/8.55 | | | | | | | | | | | | | | | | | | | % 51.90/8.55 | | | | | | | | | | | | | | | | | | | DELTA: instantiating (2425) with fresh symbols all_757_0, % 51.90/8.55 | | | | | | | | | | | | | | | | | | | all_757_1 gives: % 51.90/8.55 | | | | | | | | | | | | | | | | | | | (2461) l(all_366_0, all_8_6) = all_757_1 & % 51.90/8.55 | | | | | | | | | | | | | | | | | | | product(all_8_6, all_366_0) = all_757_0 & % 51.90/8.55 | | | | | | | | | | | | | | | | | | | $i(all_757_0) & ( ~ (all_757_1 = 0) | (all_757_0 = % 51.90/8.55 | | | | | | | | | | | | | | | | | | | all_8_6 & all_366_0 = all_8_6)) % 51.90/8.55 | | | | | | | | | | | | | | | | | | | % 51.90/8.55 | | | | | | | | | | | | | | | | | | | ALPHA: (2461) implies: % 51.90/8.55 | | | | | | | | | | | | | | | | | | | (2462) product(all_8_6, all_366_0) = all_757_0 % 51.90/8.55 | | | | | | | | | | | | | | | | | | | % 51.90/8.55 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (17) with all_8_1, all_689_0, % 51.90/8.55 | | | | | | | | | | | | | | | | | | | all_8_1, all_8_6, simplifying with (449), (2440) % 51.90/8.55 | | | | | | | | | | | | | | | | | | | gives: % 51.90/8.55 | | | | | | | | | | | | | | | | | | | (2463) all_689_0 = all_8_1 % 51.90/8.55 | | | | | | | | | | | | | | | | | | | % 51.90/8.55 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (17) with all_366_0, all_747_0, % 51.90/8.55 | | | | | | | | | | | | | | | | | | | all_366_0, all_8_6, simplifying with (2305), % 51.90/8.55 | | | | | | | | | | | | | | | | | | | (2456) gives: % 51.90/8.55 | | | | | | | | | | | | | | | | | | | (2464) all_747_0 = all_366_0 % 51.90/8.55 | | | | | | | | | | | | | | | | | | | % 51.90/8.55 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (17) with all_743_0, all_747_0, % 51.90/8.55 | | | | | | | | | | | | | | | | | | | all_366_0, all_8_6, simplifying with (2454), % 51.90/8.55 | | | | | | | | | | | | | | | | | | | (2456) gives: % 51.90/8.55 | | | | | | | | | | | | | | | | | | | (2465) all_747_0 = all_743_0 % 51.90/8.55 | | | | | | | | | | | | | | | | | | | % 51.90/8.55 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (17) with all_737_1, all_747_0, % 51.90/8.55 | | | | | | | | | | | | | | | | | | | all_366_0, all_8_6, simplifying with (2451), % 51.90/8.55 | | | | | | | | | | | | | | | | | | | (2456) gives: % 51.90/8.55 | | | | | | | | | | | | | | | | | | | (2466) all_747_0 = all_737_1 % 51.90/8.55 | | | | | | | | | | | | | | | | | | | % 51.90/8.55 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (17) with all_743_0, all_757_0, % 51.90/8.55 | | | | | | | | | | | | | | | | | | | all_366_0, all_8_6, simplifying with (2454), % 51.90/8.55 | | | | | | | | | | | | | | | | | | | (2462) gives: % 51.90/8.55 | | | | | | | | | | | | | | | | | | | (2467) all_757_0 = all_743_0 % 51.90/8.55 | | | | | | | | | | | | | | | | | | | % 51.90/8.55 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (17) with all_683_0, all_757_0, % 51.90/8.55 | | | | | | | | | | | | | | | | | | | all_366_0, all_8_6, simplifying with (2438), % 51.90/8.55 | | | | | | | | | | | | | | | | | | | (2462) gives: % 51.90/8.55 | | | | | | | | | | | | | | | | | | | (2468) all_757_0 = all_683_0 % 51.90/8.55 | | | | | | | | | | | | | | | | | | | % 51.90/8.55 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (17) with all_8_3, all_697_0, % 51.90/8.55 | | | | | | | | | | | | | | | | | | | all_8_6, all_8_5, simplifying with (27), (2443) % 51.90/8.55 | | | | | | | | | | | | | | | | | | | gives: % 51.90/8.55 | | | | | | | | | | | | | | | | | | | (2469) all_697_0 = all_8_3 % 51.90/8.55 | | | | | | | | | | | | | | | | | | | % 51.90/8.55 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (17) with all_677_0, all_697_0, % 51.90/8.55 | | | | | | | | | | | | | | | | | | | all_8_6, all_8_5, simplifying with (2432), (2443) % 51.90/8.55 | | | | | | | | | | | | | | | | | | | gives: % 51.90/8.55 | | | | | | | | | | | | | | | | | | | (2470) all_697_0 = all_677_0 % 51.90/8.55 | | | | | | | | | | | | | | | | | | | % 51.90/8.55 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (17) with all_366_0, all_681_0, % 51.90/8.55 | | | | | | | | | | | | | | | | | | | all_8_5, all_366_0, simplifying with (2303), % 51.90/8.55 | | | | | | | | | | | | | | | | | | | (2435) gives: % 51.90/8.55 | | | | | | | | | | | | | | | | | | | (2471) all_681_0 = all_366_0 % 51.90/8.55 | | | | | | | | | | | | | | | | | | | % 51.90/8.55 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (17) with all_735_0, all_753_0, % 51.90/8.55 | | | | | | | | | | | | | | | | | | | all_8_5, all_366_0, simplifying with (2449), % 51.90/8.55 | | | | | | | | | | | | | | | | | | | (2458) gives: % 51.90/8.55 | | | | | | | | | | | | | | | | | | | (2472) all_753_0 = all_735_0 % 51.90/8.55 | | | | | | | | | | | | | | | | | | | % 51.90/8.55 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (17) with all_675_0, all_753_0, % 51.90/8.55 | | | | | | | | | | | | | | | | | | | all_8_5, all_366_0, simplifying with (2430), % 51.90/8.55 | | | | | | | | | | | | | | | | | | | (2458) gives: % 51.90/8.55 | | | | | | | | | | | | | | | | | | | (2473) all_753_0 = all_675_0 % 51.90/8.55 | | | | | | | | | | | | | | | | | | | % 51.90/8.55 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (17) with all_735_0, all_755_0, % 51.90/8.55 | | | | | | | | | | | | | | | | | | | all_8_5, all_366_0, simplifying with (2449), % 51.90/8.55 | | | | | | | | | | | | | | | | | | | (2460) gives: % 51.90/8.55 | | | | | | | | | | | | | | | | | | | (2474) all_755_0 = all_735_0 % 51.90/8.55 | | | | | | | | | | | | | | | | | | | % 51.90/8.55 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (17) with all_727_1, all_755_0, % 51.90/8.55 | | | | | | | | | | | | | | | | | | | all_8_5, all_366_0, simplifying with (2447), % 51.90/8.55 | | | | | | | | | | | | | | | | | | | (2460) gives: % 51.90/8.55 | | | | | | | | | | | | | | | | | | | (2475) all_755_0 = all_727_1 % 51.90/8.55 | | | | | | | | | | | | | | | | | | | % 51.90/8.55 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (17) with all_681_0, all_755_0, % 51.90/8.55 | | | | | | | | | | | | | | | | | | | all_8_5, all_366_0, simplifying with (2435), % 51.90/8.55 | | | | | | | | | | | | | | | | | | | (2460) gives: % 51.90/8.55 | | | | | | | | | | | | | | | | | | | (2476) all_755_0 = all_681_0 % 51.90/8.55 | | | | | | | | | | | | | | | | | | | % 51.90/8.55 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2467), (2468) imply: % 51.90/8.55 | | | | | | | | | | | | | | | | | | | (2477) all_743_0 = all_683_0 % 51.90/8.55 | | | | | | | | | | | | | | | | | | | % 51.90/8.55 | | | | | | | | | | | | | | | | | | | SIMP: (2477) implies: % 51.90/8.55 | | | | | | | | | | | | | | | | | | | (2478) all_743_0 = all_683_0 % 51.90/8.55 | | | | | | | | | | | | | | | | | | | % 51.90/8.55 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2474), (2475) imply: % 51.90/8.55 | | | | | | | | | | | | | | | | | | | (2479) all_735_0 = all_727_1 % 51.90/8.55 | | | | | | | | | | | | | | | | | | | % 51.90/8.55 | | | | | | | | | | | | | | | | | | | SIMP: (2479) implies: % 51.90/8.55 | | | | | | | | | | | | | | | | | | | (2480) all_735_0 = all_727_1 % 51.90/8.55 | | | | | | | | | | | | | | | | | | | % 51.90/8.55 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2475), (2476) imply: % 51.90/8.55 | | | | | | | | | | | | | | | | | | | (2481) all_727_1 = all_681_0 % 51.90/8.55 | | | | | | | | | | | | | | | | | | | % 51.90/8.55 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2472), (2473) imply: % 51.90/8.55 | | | | | | | | | | | | | | | | | | | (2482) all_735_0 = all_675_0 % 51.90/8.55 | | | | | | | | | | | | | | | | | | | % 51.90/8.55 | | | | | | | | | | | | | | | | | | | SIMP: (2482) implies: % 51.90/8.55 | | | | | | | | | | | | | | | | | | | (2483) all_735_0 = all_675_0 % 51.90/8.55 | | | | | | | | | | | | | | | | | | | % 51.90/8.55 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2465), (2466) imply: % 51.90/8.55 | | | | | | | | | | | | | | | | | | | (2484) all_743_0 = all_737_1 % 51.90/8.55 | | | | | | | | | | | | | | | | | | | % 51.90/8.55 | | | | | | | | | | | | | | | | | | | SIMP: (2484) implies: % 51.90/8.55 | | | | | | | | | | | | | | | | | | | (2485) all_743_0 = all_737_1 % 51.90/8.55 | | | | | | | | | | | | | | | | | | | % 51.90/8.55 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2464), (2466) imply: % 51.90/8.55 | | | | | | | | | | | | | | | | | | | (2486) all_737_1 = all_366_0 % 51.90/8.55 | | | | | | | | | | | | | | | | | | | % 51.90/8.55 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2478), (2485) imply: % 51.90/8.55 | | | | | | | | | | | | | | | | | | | (2487) all_737_1 = all_683_0 % 51.90/8.55 | | | | | | | | | | | | | | | | | | | % 51.90/8.55 | | | | | | | | | | | | | | | | | | | SIMP: (2487) implies: % 51.90/8.55 | | | | | | | | | | | | | | | | | | | (2488) all_737_1 = all_683_0 % 51.90/8.55 | | | | | | | | | | | | | | | | | | | % 51.90/8.55 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2486), (2488) imply: % 51.90/8.55 | | | | | | | | | | | | | | | | | | | (2489) all_683_0 = all_366_0 % 51.90/8.55 | | | | | | | | | | | | | | | | | | | % 51.90/8.55 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2480), (2483) imply: % 51.90/8.55 | | | | | | | | | | | | | | | | | | | (2490) all_727_1 = all_675_0 % 51.90/8.55 | | | | | | | | | | | | | | | | | | | % 51.90/8.55 | | | | | | | | | | | | | | | | | | | SIMP: (2490) implies: % 51.90/8.55 | | | | | | | | | | | | | | | | | | | (2491) all_727_1 = all_675_0 % 51.90/8.55 | | | | | | | | | | | | | | | | | | | % 51.90/8.55 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2481), (2491) imply: % 51.90/8.55 | | | | | | | | | | | | | | | | | | | (2492) all_681_0 = all_675_0 % 51.90/8.55 | | | | | | | | | | | | | | | | | | | % 51.90/8.55 | | | | | | | | | | | | | | | | | | | SIMP: (2492) implies: % 51.90/8.55 | | | | | | | | | | | | | | | | | | | (2493) all_681_0 = all_675_0 % 51.90/8.55 | | | | | | | | | | | | | | | | | | | % 51.90/8.55 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2469), (2470) imply: % 51.90/8.55 | | | | | | | | | | | | | | | | | | | (2494) all_677_0 = all_8_3 % 51.90/8.55 | | | | | | | | | | | | | | | | | | | % 51.90/8.55 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2471), (2493) imply: % 51.90/8.55 | | | | | | | | | | | | | | | | | | | (2495) all_675_0 = all_366_0 % 51.90/8.55 | | | | | | | | | | | | | | | | | | | % 51.90/8.55 | | | | | | | | | | | | | | | | | | | REDUCE: (2436), (2471) imply: % 51.90/8.55 | | | | | | | | | | | | | | | | | | | (2496) product(all_366_0, all_8_1) = all_366_0 % 51.90/8.55 | | | | | | | | | | | | | | | | | | | % 51.90/8.55 | | | | | | | | | | | | | | | | | | | REDUCE: (2441), (2463) imply: % 51.90/8.55 | | | | | | | | | | | | | | | | | | | (2497) product(all_366_0, all_8_1) = all_8_1 % 51.90/8.55 | | | | | | | | | | | | | | | | | | | % 51.90/8.55 | | | | | | | | | | | | | | | | | | | REDUCE: (2433), (2494) imply: % 51.90/8.55 | | | | | | | | | | | | | | | | | | | (2498) product(all_366_0, all_8_3) = all_8_6 % 51.90/8.55 | | | | | | | | | | | | | | | | | | | % 51.90/8.55 | | | | | | | | | | | | | | | | | | | BETA: splitting (2452) gives: % 51.90/8.55 | | | | | | | | | | | | | | | | | | | % 51.90/8.55 | | | | | | | | | | | | | | | | | | | Case 1: % 51.90/8.55 | | | | | | | | | | | | | | | | | | | | % 51.90/8.55 | | | | | | | | | | | | | | | | | | | | (2499) ~ (all_737_1 = all_366_0) % 51.90/8.55 | | | | | | | | | | | | | | | | | | | | % 51.90/8.55 | | | | | | | | | | | | | | | | | | | | REDUCE: (2486), (2499) imply: % 51.90/8.55 | | | | | | | | | | | | | | | | | | | | (2500) $false % 51.90/8.55 | | | | | | | | | | | | | | | | | | | | % 51.90/8.55 | | | | | | | | | | | | | | | | | | | | CLOSE: (2500) is inconsistent. % 51.90/8.55 | | | | | | | | | | | | | | | | | | | | % 51.90/8.55 | | | | | | | | | | | | | | | | | | | Case 2: % 51.90/8.55 | | | | | | | | | | | | | | | | | | | | % 51.90/8.55 | | | | | | | | | | | | | | | | | | | | % 51.90/8.55 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (17) with all_707_0, all_8_1, % 51.90/8.55 | | | | | | | | | | | | | | | | | | | | all_8_1, all_366_0, simplifying with (2445), % 51.90/8.55 | | | | | | | | | | | | | | | | | | | | (2497) gives: % 51.90/8.55 | | | | | | | | | | | | | | | | | | | | (2501) all_707_0 = all_8_1 % 51.90/8.55 | | | | | | | | | | | | | | | | | | | | % 51.90/8.55 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (17) with all_707_0, all_366_0, % 51.90/8.55 | | | | | | | | | | | | | | | | | | | | all_8_1, all_366_0, simplifying with (2445), % 51.90/8.55 | | | | | | | | | | | | | | | | | | | | (2496) gives: % 51.90/8.55 | | | | | | | | | | | | | | | | | | | | (2502) all_707_0 = all_366_0 % 51.90/8.55 | | | | | | | | | | | | | | | | | | | | % 51.90/8.55 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2501), (2502) imply: % 51.90/8.55 | | | | | | | | | | | | | | | | | | | | (2503) all_366_0 = all_8_1 % 51.90/8.55 | | | | | | | | | | | | | | | | | | | | % 51.90/8.55 | | | | | | | | | | | | | | | | | | | | REDUCE: (2498), (2503) imply: % 51.90/8.55 | | | | | | | | | | | | | | | | | | | | (2504) product(all_8_1, all_8_3) = all_8_6 % 51.90/8.55 | | | | | | | | | | | | | | | | | | | | % 51.90/8.55 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (17) with all_8_2, all_8_6, all_8_3, % 51.90/8.55 | | | | | | | | | | | | | | | | | | | | all_8_1, simplifying with (600), (2504) gives: % 51.90/8.55 | | | | | | | | | | | | | | | | | | | | (2505) all_8_2 = all_8_6 % 51.90/8.55 | | | | | | | | | | | | | | | | | | | | % 51.90/8.55 | | | | | | | | | | | | | | | | | | | | REDUCE: (2077), (2505) imply: % 51.90/8.55 | | | | | | | | | | | | | | | | | | | | (2506) $false % 51.90/8.55 | | | | | | | | | | | | | | | | | | | | % 51.90/8.55 | | | | | | | | | | | | | | | | | | | | CLOSE: (2506) is inconsistent. % 51.90/8.55 | | | | | | | | | | | | | | | | | | | | % 51.90/8.55 | | | | | | | | | | | | | | | | | | | End of split % 51.90/8.55 | | | | | | | | | | | | | | | | | | | % 51.90/8.55 | | | | | | | | | | | | | | | | | | End of split % 51.90/8.55 | | | | | | | | | | | | | | | | | | % 51.90/8.55 | | | | | | | | | | | | | | | | | End of split % 51.90/8.55 | | | | | | | | | | | | | | | | | % 51.90/8.56 | | | | | | | | | | | | | | | | Case 2: % 51.90/8.56 | | | | | | | | | | | | | | | | | % 51.90/8.56 | | | | | | | | | | | | | | | | | (2507) all_596_0 = all_8_2 & all_8_1 = all_8_5 % 51.90/8.56 | | | | | | | | | | | | | | | | | % 51.90/8.56 | | | | | | | | | | | | | | | | | ALPHA: (2507) implies: % 51.90/8.56 | | | | | | | | | | | | | | | | | (2508) all_8_1 = all_8_5 % 51.90/8.56 | | | | | | | | | | | | | | | | | % 51.90/8.56 | | | | | | | | | | | | | | | | | REDUCE: (2092), (2508) imply: % 51.90/8.56 | | | | | | | | | | | | | | | | | (2509) $false % 51.90/8.56 | | | | | | | | | | | | | | | | | % 51.90/8.56 | | | | | | | | | | | | | | | | | CLOSE: (2509) is inconsistent. % 51.90/8.56 | | | | | | | | | | | | | | | | | % 51.90/8.56 | | | | | | | | | | | | | | | | End of split % 51.90/8.56 | | | | | | | | | | | | | | | | % 51.90/8.56 | | | | | | | | | | | | | | | Case 2: % 51.90/8.56 | | | | | | | | | | | | | | | | % 51.90/8.56 | | | | | | | | | | | | | | | | (2510) all_420_0 = all_8_3 & all_8_1 = all_8_2 % 51.90/8.56 | | | | | | | | | | | | | | | | % 51.90/8.56 | | | | | | | | | | | | | | | | ALPHA: (2510) implies: % 51.90/8.56 | | | | | | | | | | | | | | | | (2511) all_420_0 = all_8_3 % 51.90/8.56 | | | | | | | | | | | | | | | | % 51.90/8.56 | | | | | | | | | | | | | | | | COMBINE_EQS: (2243), (2511) imply: % 51.90/8.56 | | | | | | | | | | | | | | | | (2512) all_8_3 = all_8_5 % 51.90/8.56 | | | | | | | | | | | | | | | | % 51.90/8.56 | | | | | | | | | | | | | | | | SIMP: (2512) implies: % 51.90/8.56 | | | | | | | | | | | | | | | | (2513) all_8_3 = all_8_5 % 51.90/8.56 | | | | | | | | | | | | | | | | % 51.90/8.56 | | | | | | | | | | | | | | | | REDUCE: (2277), (2513) imply: % 51.90/8.56 | | | | | | | | | | | | | | | | (2514) $false % 51.90/8.56 | | | | | | | | | | | | | | | | % 51.90/8.56 | | | | | | | | | | | | | | | | CLOSE: (2514) is inconsistent. % 51.90/8.56 | | | | | | | | | | | | | | | | % 51.90/8.56 | | | | | | | | | | | | | | | End of split % 51.90/8.56 | | | | | | | | | | | | | | | % 51.90/8.56 | | | | | | | | | | | | | | Case 2: % 51.90/8.56 | | | | | | | | | | | | | | | % 51.90/8.56 | | | | | | | | | | | | | | | (2515) all_482_0 = all_8_3 % 51.90/8.56 | | | | | | | | | | | | | | | (2516) ~ (all_482_1 = all_8_5) % 51.90/8.56 | | | | | | | | | | | | | | | % 51.90/8.56 | | | | | | | | | | | | | | | COMBINE_EQS: (2274), (2515) imply: % 51.90/8.56 | | | | | | | | | | | | | | | (2517) all_8_3 = all_8_5 % 51.90/8.56 | | | | | | | | | | | | | | | % 51.90/8.56 | | | | | | | | | | | | | | | SIMP: (2517) implies: % 51.90/8.56 | | | | | | | | | | | | | | | (2518) all_8_3 = all_8_5 % 51.90/8.56 | | | | | | | | | | | | | | | % 51.90/8.56 | | | | | | | | | | | | | | | COMBINE_EQS: (2273), (2518) imply: % 51.90/8.56 | | | | | | | | | | | | | | | (2519) all_482_1 = all_8_5 % 51.90/8.56 | | | | | | | | | | | | | | | % 51.90/8.56 | | | | | | | | | | | | | | | REDUCE: (2516), (2519) imply: % 51.90/8.56 | | | | | | | | | | | | | | | (2520) $false % 51.90/8.56 | | | | | | | | | | | | | | | % 51.90/8.56 | | | | | | | | | | | | | | | CLOSE: (2520) is inconsistent. % 51.90/8.56 | | | | | | | | | | | | | | | % 51.90/8.56 | | | | | | | | | | | | | | End of split % 51.90/8.56 | | | | | | | | | | | | | | % 51.90/8.56 | | | | | | | | | | | | | End of split % 51.90/8.56 | | | | | | | | | | | | | % 51.90/8.56 | | | | | | | | | | | | Case 2: % 51.90/8.56 | | | | | | | | | | | | | % 51.90/8.56 | | | | | | | | | | | | | (2521) all_70_0 = all_8_5 & all_8_0 = all_8_3 % 51.90/8.56 | | | | | | | | | | | | | % 51.90/8.56 | | | | | | | | | | | | | ALPHA: (2521) implies: % 51.90/8.56 | | | | | | | | | | | | | (2522) all_8_0 = all_8_3 % 51.90/8.56 | | | | | | | | | | | | | % 51.90/8.56 | | | | | | | | | | | | | COMBINE_EQS: (2071), (2522) imply: % 51.90/8.56 | | | | | | | | | | | | | (2523) all_8_3 = all_8_5 % 51.90/8.56 | | | | | | | | | | | | | % 51.90/8.56 | | | | | | | | | | | | | COMBINE_EQS: (2102), (2523) imply: % 51.90/8.56 | | | | | | | | | | | | | (2524) all_343_0 = all_8_5 % 51.90/8.56 | | | | | | | | | | | | | % 51.90/8.56 | | | | | | | | | | | | | REDUCE: (600), (2523) imply: % 51.90/8.56 | | | | | | | | | | | | | (2525) product(all_8_1, all_8_5) = all_8_2 % 51.90/8.56 | | | | | | | | | | | | | % 51.90/8.56 | | | | | | | | | | | | | REDUCE: (27), (2523) imply: % 51.90/8.56 | | | | | | | | | | | | | (2526) product(all_8_5, all_8_6) = all_8_5 % 51.90/8.56 | | | | | | | | | | | | | % 51.90/8.56 | | | | | | | | | | | | | BETA: splitting (2100) gives: % 51.90/8.56 | | | | | | | | | | | | | % 51.90/8.56 | | | | | | | | | | | | | Case 1: % 51.90/8.56 | | | | | | | | | | | | | | % 51.90/8.56 | | | | | | | | | | | | | | (2527) ~ (all_343_0 = all_8_5) % 51.90/8.56 | | | | | | | | | | | | | | % 51.90/8.56 | | | | | | | | | | | | | | REDUCE: (2524), (2527) imply: % 51.90/8.56 | | | | | | | | | | | | | | (2528) $false % 51.90/8.56 | | | | | | | | | | | | | | % 51.90/8.56 | | | | | | | | | | | | | | CLOSE: (2528) is inconsistent. % 51.90/8.56 | | | | | | | | | | | | | | % 51.90/8.56 | | | | | | | | | | | | | Case 2: % 51.90/8.56 | | | | | | | | | | | | | | % 51.90/8.56 | | | | | | | | | | | | | | (2529) ~ (all_343_1 = all_8_6) % 51.90/8.56 | | | | | | | | | | | | | | % 51.90/8.56 | | | | | | | | | | | | | | REDUCE: (2101), (2529) imply: % 51.90/8.56 | | | | | | | | | | | | | | (2530) ~ (all_8_1 = all_8_6) % 51.90/8.56 | | | | | | | | | | | | | | % 51.90/8.56 | | | | | | | | | | | | | | GROUND_INST: instantiating (17) with all_8_1, all_8_2, all_8_5, % 51.90/8.56 | | | | | | | | | | | | | | all_8_1, simplifying with (443), (2525) gives: % 51.90/8.56 | | | | | | | | | | | | | | (2531) all_8_1 = all_8_2 % 51.90/8.56 | | | | | | | | | | | | | | % 51.90/8.56 | | | | | | | | | | | | | | REDUCE: (2254), (2531) imply: % 51.90/8.56 | | | | | | | | | | | | | | (2532) product(all_8_2, all_8_2) = all_8_2 % 51.90/8.56 | | | | | | | | | | | | | | % 51.90/8.56 | | | | | | | | | | | | | | REDUCE: (2074), (2531) imply: % 51.90/8.56 | | | | | | | | | | | | | | (2533) product(all_8_5, all_8_2) = all_8_5 % 51.90/8.56 | | | | | | | | | | | | | | % 51.90/8.56 | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_8_2, all_8_2, % 51.90/8.56 | | | | | | | | | | | | | | simplifying with (604), (2532) gives: % 51.90/8.56 | | | | | | | | | | | | | | (2534) ? [v0: $i] : ? [v1: any] : (l(all_8_2, all_8_2) % 51.90/8.56 | | | | | | | | | | | | | | = v1 & product(all_8_2, all_8_2) = v0 & $i(v0) & % 51.90/8.56 | | | | | | | | | | | | | | ( ~ (v0 = all_8_2) | v1 = 0)) % 51.90/8.56 | | | | | | | | | | | | | | % 51.90/8.56 | | | | | | | | | | | | | | GROUND_INST: instantiating (10) with all_8_2, all_8_2, % 51.90/8.56 | | | | | | | | | | | | | | simplifying with (604), (2532) gives: % 51.90/8.56 | | | | | | | | | | | | | | (2535) ? [v0: $i] : ? [v1: any] : (r(all_8_2, all_8_2) % 51.90/8.56 | | | | | | | | | | | | | | = v1 & product(all_8_2, all_8_2) = v0 & $i(v0) & % 51.90/8.56 | | | | | | | | | | | | | | ( ~ (v0 = all_8_2) | v1 = 0)) % 51.90/8.56 | | | | | | | | | | | | | | % 51.90/8.56 | | | | | | | | | | | | | | GROUND_INST: instantiating (13) with all_8_2, all_8_2, all_8_2, % 51.90/8.56 | | | | | | | | | | | | | | simplifying with (604), (2532) gives: % 51.90/8.56 | | | | | | | | | | | | | | (2536) ? [v0: any] : ? [v1: $i] : (r(all_8_2, all_8_2) % 51.90/8.56 | | | | | | | | | | | | | | = v0 & product(all_8_2, all_8_2) = v1 & $i(v1) & % 51.90/8.56 | | | | | | | | | | | | | | ( ~ (v0 = 0) | v1 = all_8_2)) % 51.90/8.56 | | | | | | | | | | | | | | % 51.90/8.56 | | | | | | | | | | | | | | GROUND_INST: instantiating (7) with all_8_2, all_8_2, all_8_2, % 51.90/8.56 | | | | | | | | | | | | | | simplifying with (604), (2532) gives: % 51.90/8.56 | | | | | | | | | | | | | | (2537) ? [v0: any] : ? [v1: $i] : (l(all_8_2, all_8_2) % 51.90/8.56 | | | | | | | | | | | | | | = v0 & product(all_8_2, all_8_2) = v1 & $i(v1) & % 51.90/8.56 | | | | | | | | | | | | | | ( ~ (v0 = 0) | v1 = all_8_2)) % 51.90/8.56 | | | | | | | | | | | | | | % 51.90/8.56 | | | | | | | | | | | | | | GROUND_INST: instantiating (5) with all_366_0, all_8_5, % 51.90/8.56 | | | | | | | | | | | | | | simplifying with (22), (2139), (2140) gives: % 51.90/8.56 | | | | | | | | | | | | | | (2538) product(all_366_0, all_8_5) = all_366_0 & % 51.90/8.56 | | | | | | | | | | | | | | product(all_8_5, all_366_0) = all_8_5 % 51.90/8.56 | | | | | | | | | | | | | | % 51.90/8.56 | | | | | | | | | | | | | | ALPHA: (2538) implies: % 51.90/8.56 | | | | | | | | | | | | | | (2539) product(all_8_5, all_366_0) = all_8_5 % 51.90/8.56 | | | | | | | | | | | | | | (2540) product(all_366_0, all_8_5) = all_366_0 % 51.90/8.56 | | | | | | | | | | | | | | % 51.90/8.56 | | | | | | | | | | | | | | GROUND_INST: instantiating (11) with all_8_6, all_366_0, % 51.90/8.56 | | | | | | | | | | | | | | simplifying with (21), (2139), (2141) gives: % 51.90/8.56 | | | | | | | | | | | | | | (2541) product(all_366_0, all_8_6) = all_8_6 & % 51.90/8.56 | | | | | | | | | | | | | | product(all_8_6, all_366_0) = all_366_0 % 51.90/8.56 | | | | | | | | | | | | | | % 51.90/8.56 | | | | | | | | | | | | | | ALPHA: (2541) implies: % 51.90/8.56 | | | | | | | | | | | | | | (2542) product(all_366_0, all_8_6) = all_8_6 % 51.90/8.56 | | | | | | | | | | | | | | % 51.90/8.56 | | | | | | | | | | | | | | DELTA: instantiating (2537) with fresh symbols all_500_0, % 51.90/8.56 | | | | | | | | | | | | | | all_500_1 gives: % 51.90/8.57 | | | | | | | | | | | | | | (2543) l(all_8_2, all_8_2) = all_500_1 & product(all_8_2, % 51.90/8.57 | | | | | | | | | | | | | | all_8_2) = all_500_0 & $i(all_500_0) & ( ~ % 51.90/8.57 | | | | | | | | | | | | | | (all_500_1 = 0) | all_500_0 = all_8_2) % 51.90/8.57 | | | | | | | | | | | | | | % 51.90/8.57 | | | | | | | | | | | | | | ALPHA: (2543) implies: % 51.90/8.57 | | | | | | | | | | | | | | (2544) $i(all_500_0) % 51.90/8.57 | | | | | | | | | | | | | | (2545) product(all_8_2, all_8_2) = all_500_0 % 51.90/8.57 | | | | | | | | | | | | | | % 51.90/8.57 | | | | | | | | | | | | | | DELTA: instantiating (2536) with fresh symbols all_502_0, % 51.90/8.57 | | | | | | | | | | | | | | all_502_1 gives: % 51.90/8.57 | | | | | | | | | | | | | | (2546) r(all_8_2, all_8_2) = all_502_1 & product(all_8_2, % 51.90/8.57 | | | | | | | | | | | | | | all_8_2) = all_502_0 & $i(all_502_0) & ( ~ % 51.90/8.57 | | | | | | | | | | | | | | (all_502_1 = 0) | all_502_0 = all_8_2) % 51.90/8.57 | | | | | | | | | | | | | | % 51.90/8.57 | | | | | | | | | | | | | | ALPHA: (2546) implies: % 51.90/8.57 | | | | | | | | | | | | | | (2547) product(all_8_2, all_8_2) = all_502_0 % 51.90/8.57 | | | | | | | | | | | | | | % 51.90/8.57 | | | | | | | | | | | | | | DELTA: instantiating (2535) with fresh symbols all_504_0, % 51.90/8.57 | | | | | | | | | | | | | | all_504_1 gives: % 51.90/8.57 | | | | | | | | | | | | | | (2548) r(all_8_2, all_8_2) = all_504_0 & product(all_8_2, % 51.90/8.57 | | | | | | | | | | | | | | all_8_2) = all_504_1 & $i(all_504_1) & ( ~ % 51.90/8.57 | | | | | | | | | | | | | | (all_504_1 = all_8_2) | all_504_0 = 0) % 51.90/8.57 | | | | | | | | | | | | | | % 51.90/8.57 | | | | | | | | | | | | | | ALPHA: (2548) implies: % 51.90/8.57 | | | | | | | | | | | | | | (2549) product(all_8_2, all_8_2) = all_504_1 % 51.90/8.57 | | | | | | | | | | | | | | % 51.90/8.57 | | | | | | | | | | | | | | DELTA: instantiating (2534) with fresh symbols all_506_0, % 51.90/8.57 | | | | | | | | | | | | | | all_506_1 gives: % 51.90/8.57 | | | | | | | | | | | | | | (2550) l(all_8_2, all_8_2) = all_506_0 & product(all_8_2, % 51.90/8.57 | | | | | | | | | | | | | | all_8_2) = all_506_1 & $i(all_506_1) & ( ~ % 51.90/8.57 | | | | | | | | | | | | | | (all_506_1 = all_8_2) | all_506_0 = 0) % 51.90/8.57 | | | | | | | | | | | | | | % 51.90/8.57 | | | | | | | | | | | | | | ALPHA: (2550) implies: % 51.90/8.57 | | | | | | | | | | | | | | (2551) product(all_8_2, all_8_2) = all_506_1 % 51.90/8.57 | | | | | | | | | | | | | | % 51.90/8.57 | | | | | | | | | | | | | | GROUND_INST: instantiating (17) with all_500_0, all_502_0, % 51.90/8.57 | | | | | | | | | | | | | | all_8_2, all_8_2, simplifying with (2545), (2547) % 51.90/8.57 | | | | | | | | | | | | | | gives: % 51.90/8.57 | | | | | | | | | | | | | | (2552) all_502_0 = all_500_0 % 51.90/8.57 | | | | | | | | | | | | | | % 51.90/8.57 | | | | | | | | | | | | | | GROUND_INST: instantiating (17) with all_502_0, all_504_1, % 51.90/8.57 | | | | | | | | | | | | | | all_8_2, all_8_2, simplifying with (2547), (2549) % 51.90/8.57 | | | | | | | | | | | | | | gives: % 51.90/8.57 | | | | | | | | | | | | | | (2553) all_504_1 = all_502_0 % 51.90/8.57 | | | | | | | | | | | | | | % 51.90/8.57 | | | | | | | | | | | | | | GROUND_INST: instantiating (17) with all_8_2, all_506_1, % 51.90/8.57 | | | | | | | | | | | | | | all_8_2, all_8_2, simplifying with (2532), (2551) % 51.90/8.57 | | | | | | | | | | | | | | gives: % 51.90/8.57 | | | | | | | | | | | | | | (2554) all_506_1 = all_8_2 % 51.90/8.57 | | | | | | | | | | | | | | % 51.90/8.57 | | | | | | | | | | | | | | GROUND_INST: instantiating (17) with all_504_1, all_506_1, % 51.90/8.57 | | | | | | | | | | | | | | all_8_2, all_8_2, simplifying with (2549), (2551) % 51.90/8.57 | | | | | | | | | | | | | | gives: % 51.90/8.57 | | | | | | | | | | | | | | (2555) all_506_1 = all_504_1 % 51.90/8.57 | | | | | | | | | | | | | | % 51.90/8.57 | | | | | | | | | | | | | | COMBINE_EQS: (2554), (2555) imply: % 51.90/8.57 | | | | | | | | | | | | | | (2556) all_504_1 = all_8_2 % 51.90/8.57 | | | | | | | | | | | | | | % 51.90/8.57 | | | | | | | | | | | | | | SIMP: (2556) implies: % 51.90/8.57 | | | | | | | | | | | | | | (2557) all_504_1 = all_8_2 % 51.90/8.57 | | | | | | | | | | | | | | % 51.90/8.57 | | | | | | | | | | | | | | COMBINE_EQS: (2553), (2557) imply: % 51.90/8.57 | | | | | | | | | | | | | | (2558) all_502_0 = all_8_2 % 51.90/8.57 | | | | | | | | | | | | | | % 51.90/8.57 | | | | | | | | | | | | | | SIMP: (2558) implies: % 51.90/8.57 | | | | | | | | | | | | | | (2559) all_502_0 = all_8_2 % 51.90/8.57 | | | | | | | | | | | | | | % 51.90/8.57 | | | | | | | | | | | | | | COMBINE_EQS: (2552), (2559) imply: % 51.90/8.57 | | | | | | | | | | | | | | (2560) all_500_0 = all_8_2 % 51.90/8.57 | | | | | | | | | | | | | | % 51.90/8.57 | | | | | | | | | | | | | | SIMP: (2560) implies: % 51.90/8.57 | | | | | | | | | | | | | | (2561) all_500_0 = all_8_2 % 51.90/8.57 | | | | | | | | | | | | | | % 51.90/8.57 | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with all_8_2, all_366_0, % 51.90/8.57 | | | | | | | | | | | | | | all_8_5, all_8_5, all_8_5, simplifying with (22), % 51.90/8.57 | | | | | | | | | | | | | | (604), (2139), (2533), (2539) gives: % 51.90/8.57 | | | | | | | | | | | | | | (2562) ? [v0: $i] : (product(all_366_0, all_8_2) = v0 & % 51.90/8.57 | | | | | | | | | | | | | | product(all_8_5, v0) = all_8_5 & $i(v0)) % 51.90/8.57 | | | | | | | | | | | | | | % 51.90/8.57 | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with all_8_5, all_366_0, % 51.90/8.57 | | | | | | | | | | | | | | simplifying with (22), (2139), (2539) gives: % 51.90/8.57 | | | | | | | | | | | | | | (2563) ? [v0: $i] : ? [v1: any] : (l(all_8_5, % 51.90/8.57 | | | | | | | | | | | | | | all_366_0) = v1 & product(all_366_0, all_8_5) % 51.90/8.57 | | | | | | | | | | | | | | = v0 & $i(v0) & ( ~ (v0 = all_366_0) | v1 = 0)) % 51.90/8.57 | | | | | | | | | | | | | | % 51.90/8.57 | | | | | | | | | | | | | | GROUND_INST: instantiating (13) with all_366_0, all_8_5, % 51.90/8.57 | | | | | | | | | | | | | | all_8_5, simplifying with (22), (2139), (2539) % 51.90/8.57 | | | | | | | | | | | | | | gives: % 51.90/8.57 | | | | | | | | | | | | | | (2564) ? [v0: any] : ? [v1: $i] : (r(all_366_0, % 51.90/8.57 | | | | | | | | | | | | | | all_8_5) = v0 & product(all_366_0, all_8_5) = % 51.90/8.57 | | | | | | | | | | | | | | v1 & $i(v1) & ( ~ (v0 = 0) | (v1 = all_8_5 & % 51.90/8.57 | | | | | | | | | | | | | | all_366_0 = all_8_5))) % 51.90/8.57 | | | | | | | | | | | | | | % 51.90/8.57 | | | | | | | | | | | | | | GROUND_INST: instantiating (12) with all_8_5, all_366_0, % 51.90/8.57 | | | | | | | | | | | | | | all_8_5, simplifying with (22), (2139), (2539) % 51.90/8.57 | | | | | | | | | | | | | | gives: % 51.90/8.57 | | | | | | | | | | | | | | (2565) ? [v0: any] : ? [v1: $i] : (r(all_8_5, % 51.90/8.57 | | | | | | | | | | | | | | all_366_0) = v0 & product(all_366_0, all_8_5) % 51.90/8.57 | | | | | | | | | | | | | | = v1 & $i(v1) & ( ~ (v0 = 0) | (v1 = all_8_5 & % 51.90/8.57 | | | | | | | | | | | | | | all_366_0 = all_8_5))) % 51.90/8.57 | | | | | | | | | | | | | | % 51.90/8.57 | | | | | | | | | | | | | | GROUND_INST: instantiating (6) with all_8_5, all_366_0, % 51.90/8.57 | | | | | | | | | | | | | | all_8_5, simplifying with (22), (2139), (2539) % 51.90/8.57 | | | | | | | | | | | | | | gives: % 51.90/8.57 | | | | | | | | | | | | | | (2566) ? [v0: any] : ? [v1: $i] : (l(all_8_5, % 51.90/8.57 | | | | | | | | | | | | | | all_366_0) = v0 & product(all_366_0, all_8_5) % 51.90/8.57 | | | | | | | | | | | | | | = v1 & $i(v1) & ( ~ (v0 = 0) | v1 = all_366_0)) % 51.90/8.57 | | | | | | | | | | | | | | % 51.90/8.57 | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with all_8_2, all_8_6, % 51.90/8.57 | | | | | | | | | | | | | | all_366_0, all_8_6, all_8_2, simplifying with % 51.90/8.57 | | | | | | | | | | | | | | (21), (603), (604), (2139), (2542) gives: % 51.90/8.57 | | | | | | | | | | | | | | (2567) ? [v0: $i] : (product(all_366_0, v0) = all_8_2 & % 51.90/8.57 | | | | | | | | | | | | | | product(all_8_6, all_8_2) = v0 & $i(v0)) % 51.90/8.57 | | | | | | | | | | | | | | % 51.90/8.57 | | | | | | | | | | | | | | GROUND_INST: instantiating (1) with all_8_2, all_8_5, % 51.90/8.57 | | | | | | | | | | | | | | all_366_0, all_8_5, all_366_0, simplifying with % 51.90/8.57 | | | | | | | | | | | | | | (22), (604), (2139), (2533), (2540) gives: % 51.90/8.57 | | | | | | | | | | | | | | (2568) ? [v0: $i] : (product(v0, all_8_2) = all_366_0 & % 51.90/8.57 | | | | | | | | | | | | | | product(all_366_0, all_8_5) = v0 & $i(v0)) % 51.90/8.57 | | | | | | | | | | | | | | % 51.90/8.57 | | | | | | | | | | | | | | GROUND_INST: instantiating (1) with all_8_6, all_8_5, % 51.90/8.57 | | | | | | | | | | | | | | all_366_0, all_8_5, all_366_0, simplifying with % 51.90/8.57 | | | | | | | | | | | | | | (21), (22), (2139), (2526), (2540) gives: % 51.90/8.57 | | | | | | | | | | | | | | (2569) ? [v0: $i] : (product(v0, all_8_6) = all_366_0 & % 51.90/8.57 | | | | | | | | | | | | | | product(all_366_0, all_8_5) = v0 & $i(v0)) % 51.90/8.57 | | | | | | | | | | | | | | % 51.90/8.57 | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with all_8_6, all_8_5, % 51.90/8.57 | | | | | | | | | | | | | | all_366_0, all_366_0, all_8_6, simplifying with % 51.90/8.57 | | | | | | | | | | | | | | (21), (22), (2139), (2540), (2542) gives: % 51.90/8.57 | | | | | | | | | | | | | | (2570) ? [v0: $i] : (product(all_366_0, v0) = all_8_6 & % 51.90/8.57 | | | | | | | | | | | | | | product(all_8_5, all_8_6) = v0 & $i(v0)) % 51.90/8.57 | | | | | | | | | | | | | | % 51.90/8.57 | | | | | | | | | | | | | | GROUND_INST: instantiating (1) with all_366_0, all_8_5, % 51.90/8.57 | | | | | | | | | | | | | | all_366_0, all_8_5, all_366_0, simplifying with % 51.90/8.57 | | | | | | | | | | | | | | (22), (2139), (2539), (2540) gives: % 51.90/8.57 | | | | | | | | | | | | | | (2571) ? [v0: $i] : (product(v0, all_366_0) = all_366_0 % 51.90/8.57 | | | | | | | | | | | | | | & product(all_366_0, all_8_5) = v0 & $i(v0)) % 51.90/8.57 | | | | | | | | | | | | | | % 51.90/8.57 | | | | | | | | | | | | | | DELTA: instantiating (2571) with fresh symbol all_525_0 % 51.90/8.57 | | | | | | | | | | | | | | gives: % 51.90/8.57 | | | | | | | | | | | | | | (2572) product(all_525_0, all_366_0) = all_366_0 & % 51.90/8.57 | | | | | | | | | | | | | | product(all_366_0, all_8_5) = all_525_0 & % 51.90/8.57 | | | | | | | | | | | | | | $i(all_525_0) % 51.90/8.57 | | | | | | | | | | | | | | % 51.90/8.57 | | | | | | | | | | | | | | ALPHA: (2572) implies: % 51.90/8.57 | | | | | | | | | | | | | | (2573) product(all_366_0, all_8_5) = all_525_0 % 51.90/8.57 | | | | | | | | | | | | | | % 51.90/8.57 | | | | | | | | | | | | | | DELTA: instantiating (2570) with fresh symbol all_527_0 % 51.90/8.57 | | | | | | | | | | | | | | gives: % 51.90/8.57 | | | | | | | | | | | | | | (2574) product(all_366_0, all_527_0) = all_8_6 & % 51.90/8.57 | | | | | | | | | | | | | | product(all_8_5, all_8_6) = all_527_0 & % 51.90/8.57 | | | | | | | | | | | | | | $i(all_527_0) % 51.90/8.57 | | | | | | | | | | | | | | % 51.90/8.57 | | | | | | | | | | | | | | ALPHA: (2574) implies: % 51.90/8.57 | | | | | | | | | | | | | | (2575) product(all_8_5, all_8_6) = all_527_0 % 51.90/8.57 | | | | | | | | | | | | | | (2576) product(all_366_0, all_527_0) = all_8_6 % 51.90/8.57 | | | | | | | | | | | | | | % 51.90/8.57 | | | | | | | | | | | | | | DELTA: instantiating (2567) with fresh symbol all_529_0 % 51.90/8.57 | | | | | | | | | | | | | | gives: % 51.90/8.57 | | | | | | | | | | | | | | (2577) product(all_366_0, all_529_0) = all_8_2 & % 51.90/8.57 | | | | | | | | | | | | | | product(all_8_6, all_8_2) = all_529_0 & % 51.90/8.57 | | | | | | | | | | | | | | $i(all_529_0) % 51.90/8.57 | | | | | | | | | | | | | | % 51.90/8.57 | | | | | | | | | | | | | | ALPHA: (2577) implies: % 51.90/8.57 | | | | | | | | | | | | | | (2578) product(all_8_6, all_8_2) = all_529_0 % 51.90/8.57 | | | | | | | | | | | | | | (2579) product(all_366_0, all_529_0) = all_8_2 % 51.90/8.57 | | | | | | | | | | | | | | % 51.90/8.57 | | | | | | | | | | | | | | DELTA: instantiating (2562) with fresh symbol all_533_0 % 51.90/8.57 | | | | | | | | | | | | | | gives: % 51.90/8.57 | | | | | | | | | | | | | | (2580) product(all_366_0, all_8_2) = all_533_0 & % 51.90/8.57 | | | | | | | | | | | | | | product(all_8_5, all_533_0) = all_8_5 & % 51.90/8.57 | | | | | | | | | | | | | | $i(all_533_0) % 51.90/8.57 | | | | | | | | | | | | | | % 51.90/8.57 | | | | | | | | | | | | | | ALPHA: (2580) implies: % 51.90/8.57 | | | | | | | | | | | | | | (2581) product(all_366_0, all_8_2) = all_533_0 % 51.90/8.57 | | | | | | | | | | | | | | % 51.90/8.57 | | | | | | | | | | | | | | DELTA: instantiating (2569) with fresh symbol all_535_0 % 51.90/8.57 | | | | | | | | | | | | | | gives: % 51.90/8.57 | | | | | | | | | | | | | | (2582) product(all_535_0, all_8_6) = all_366_0 & % 51.90/8.57 | | | | | | | | | | | | | | product(all_366_0, all_8_5) = all_535_0 & % 51.90/8.57 | | | | | | | | | | | | | | $i(all_535_0) % 51.90/8.57 | | | | | | | | | | | | | | % 51.90/8.57 | | | | | | | | | | | | | | ALPHA: (2582) implies: % 51.90/8.57 | | | | | | | | | | | | | | (2583) product(all_366_0, all_8_5) = all_535_0 % 51.90/8.57 | | | | | | | | | | | | | | % 51.90/8.57 | | | | | | | | | | | | | | DELTA: instantiating (2568) with fresh symbol all_537_0 % 51.90/8.57 | | | | | | | | | | | | | | gives: % 51.90/8.57 | | | | | | | | | | | | | | (2584) product(all_537_0, all_8_2) = all_366_0 & % 51.90/8.57 | | | | | | | | | | | | | | product(all_366_0, all_8_5) = all_537_0 & % 51.90/8.57 | | | | | | | | | | | | | | $i(all_537_0) % 51.90/8.57 | | | | | | | | | | | | | | % 51.90/8.57 | | | | | | | | | | | | | | ALPHA: (2584) implies: % 51.90/8.57 | | | | | | | | | | | | | | (2585) product(all_366_0, all_8_5) = all_537_0 % 51.90/8.57 | | | | | | | | | | | | | | (2586) product(all_537_0, all_8_2) = all_366_0 % 51.90/8.57 | | | | | | | | | | | | | | % 51.90/8.57 | | | | | | | | | | | | | | DELTA: instantiating (2566) with fresh symbols all_553_0, % 51.90/8.57 | | | | | | | | | | | | | | all_553_1 gives: % 51.90/8.57 | | | | | | | | | | | | | | (2587) l(all_8_5, all_366_0) = all_553_1 & % 51.90/8.57 | | | | | | | | | | | | | | product(all_366_0, all_8_5) = all_553_0 & % 51.90/8.57 | | | | | | | | | | | | | | $i(all_553_0) & ( ~ (all_553_1 = 0) | all_553_0 = % 51.90/8.57 | | | | | | | | | | | | | | all_366_0) % 51.90/8.57 | | | | | | | | | | | | | | % 51.90/8.57 | | | | | | | | | | | | | | ALPHA: (2587) implies: % 51.90/8.57 | | | | | | | | | | | | | | (2588) product(all_366_0, all_8_5) = all_553_0 % 51.90/8.57 | | | | | | | | | | | | | | % 51.90/8.57 | | | | | | | | | | | | | | DELTA: instantiating (2563) with fresh symbols all_567_0, % 51.90/8.57 | | | | | | | | | | | | | | all_567_1 gives: % 51.90/8.57 | | | | | | | | | | | | | | (2589) l(all_8_5, all_366_0) = all_567_0 & % 51.90/8.57 | | | | | | | | | | | | | | product(all_366_0, all_8_5) = all_567_1 & % 51.90/8.57 | | | | | | | | | | | | | | $i(all_567_1) & ( ~ (all_567_1 = all_366_0) | % 51.90/8.57 | | | | | | | | | | | | | | all_567_0 = 0) % 51.90/8.57 | | | | | | | | | | | | | | % 51.90/8.57 | | | | | | | | | | | | | | ALPHA: (2589) implies: % 51.90/8.57 | | | | | | | | | | | | | | (2590) product(all_366_0, all_8_5) = all_567_1 % 51.90/8.57 | | | | | | | | | | | | | | % 51.90/8.57 | | | | | | | | | | | | | | DELTA: instantiating (2565) with fresh symbols all_573_0, % 51.90/8.57 | | | | | | | | | | | | | | all_573_1 gives: % 51.90/8.57 | | | | | | | | | | | | | | (2591) r(all_8_5, all_366_0) = all_573_1 & % 51.90/8.57 | | | | | | | | | | | | | | product(all_366_0, all_8_5) = all_573_0 & % 51.90/8.57 | | | | | | | | | | | | | | $i(all_573_0) & ( ~ (all_573_1 = 0) | (all_573_0 = % 51.90/8.57 | | | | | | | | | | | | | | all_8_5 & all_366_0 = all_8_5)) % 51.90/8.57 | | | | | | | | | | | | | | % 51.90/8.57 | | | | | | | | | | | | | | ALPHA: (2591) implies: % 51.90/8.57 | | | | | | | | | | | | | | (2592) product(all_366_0, all_8_5) = all_573_0 % 51.90/8.57 | | | | | | | | | | | | | | % 51.90/8.57 | | | | | | | | | | | | | | DELTA: instantiating (2564) with fresh symbols all_575_0, % 51.90/8.57 | | | | | | | | | | | | | | all_575_1 gives: % 51.90/8.57 | | | | | | | | | | | | | | (2593) r(all_366_0, all_8_5) = all_575_1 & % 51.90/8.57 | | | | | | | | | | | | | | product(all_366_0, all_8_5) = all_575_0 & % 51.90/8.57 | | | | | | | | | | | | | | $i(all_575_0) & ( ~ (all_575_1 = 0) | (all_575_0 = % 51.90/8.57 | | | | | | | | | | | | | | all_8_5 & all_366_0 = all_8_5)) % 51.90/8.57 | | | | | | | | | | | | | | % 51.90/8.57 | | | | | | | | | | | | | | ALPHA: (2593) implies: % 51.90/8.57 | | | | | | | | | | | | | | (2594) product(all_366_0, all_8_5) = all_575_0 % 51.90/8.57 | | | | | | | | | | | | | | % 51.90/8.57 | | | | | | | | | | | | | | GROUND_INST: instantiating (17) with all_8_2, all_529_0, % 51.90/8.57 | | | | | | | | | | | | | | all_8_2, all_8_6, simplifying with (603), (2578) % 51.90/8.57 | | | | | | | | | | | | | | gives: % 51.90/8.57 | | | | | | | | | | | | | | (2595) all_529_0 = all_8_2 % 51.90/8.57 | | | | | | | | | | | | | | % 51.90/8.57 | | | | | | | | | | | | | | GROUND_INST: instantiating (17) with all_8_5, all_527_0, % 51.90/8.57 | | | | | | | | | | | | | | all_8_6, all_8_5, simplifying with (2526), (2575) % 51.90/8.57 | | | | | | | | | | | | | | gives: % 51.90/8.57 | | | | | | | | | | | | | | (2596) all_527_0 = all_8_5 % 51.90/8.57 | | | | | | | | | | | | | | % 51.90/8.57 | | | | | | | | | | | | | | GROUND_INST: instantiating (17) with all_366_0, all_535_0, % 51.90/8.57 | | | | | | | | | | | | | | all_8_5, all_366_0, simplifying with (2540), % 51.90/8.57 | | | | | | | | | | | | | | (2583) gives: % 51.90/8.57 | | | | | | | | | | | | | | (2597) all_535_0 = all_366_0 % 51.90/8.57 | | | | | | | | | | | | | | % 51.90/8.57 | | | | | | | | | | | | | | GROUND_INST: instantiating (17) with all_535_0, all_537_0, % 51.90/8.57 | | | | | | | | | | | | | | all_8_5, all_366_0, simplifying with (2583), % 51.90/8.57 | | | | | | | | | | | | | | (2585) gives: % 51.90/8.57 | | | | | | | | | | | | | | (2598) all_537_0 = all_535_0 % 51.90/8.57 | | | | | | | | | | | | | | % 51.90/8.57 | | | | | | | | | | | | | | GROUND_INST: instantiating (17) with all_537_0, all_553_0, % 51.90/8.57 | | | | | | | | | | | | | | all_8_5, all_366_0, simplifying with (2585), % 51.90/8.57 | | | | | | | | | | | | | | (2588) gives: % 51.90/8.57 | | | | | | | | | | | | | | (2599) all_553_0 = all_537_0 % 51.90/8.57 | | | | | | | | | | | | | | % 51.90/8.57 | | | | | | | | | | | | | | GROUND_INST: instantiating (17) with all_553_0, all_567_1, % 51.90/8.57 | | | | | | | | | | | | | | all_8_5, all_366_0, simplifying with (2588), % 51.90/8.57 | | | | | | | | | | | | | | (2590) gives: % 51.90/8.57 | | | | | | | | | | | | | | (2600) all_567_1 = all_553_0 % 51.90/8.57 | | | | | | | | | | | | | | % 51.90/8.57 | | | | | | | | | | | | | | GROUND_INST: instantiating (17) with all_573_0, all_575_0, % 51.90/8.57 | | | | | | | | | | | | | | all_8_5, all_366_0, simplifying with (2592), % 51.90/8.57 | | | | | | | | | | | | | | (2594) gives: % 51.90/8.57 | | | | | | | | | | | | | | (2601) all_575_0 = all_573_0 % 51.90/8.57 | | | | | | | | | | | | | | % 51.90/8.57 | | | | | | | | | | | | | | GROUND_INST: instantiating (17) with all_567_1, all_575_0, % 51.90/8.57 | | | | | | | | | | | | | | all_8_5, all_366_0, simplifying with (2590), % 51.90/8.57 | | | | | | | | | | | | | | (2594) gives: % 51.90/8.57 | | | | | | | | | | | | | | (2602) all_575_0 = all_567_1 % 51.90/8.57 | | | | | | | | | | | | | | % 51.90/8.57 | | | | | | | | | | | | | | GROUND_INST: instantiating (17) with all_525_0, all_575_0, % 51.90/8.57 | | | | | | | | | | | | | | all_8_5, all_366_0, simplifying with (2573), % 51.90/8.57 | | | | | | | | | | | | | | (2594) gives: % 51.90/8.57 | | | | | | | | | | | | | | (2603) all_575_0 = all_525_0 % 51.90/8.57 | | | | | | | | | | | | | | % 51.90/8.57 | | | | | | | | | | | | | | COMBINE_EQS: (2601), (2603) imply: % 51.90/8.57 | | | | | | | | | | | | | | (2604) all_573_0 = all_525_0 % 51.90/8.57 | | | | | | | | | | | | | | % 51.90/8.57 | | | | | | | | | | | | | | COMBINE_EQS: (2601), (2602) imply: % 51.90/8.57 | | | | | | | | | | | | | | (2605) all_573_0 = all_567_1 % 51.90/8.57 | | | | | | | | | | | | | | % 51.90/8.57 | | | | | | | | | | | | | | COMBINE_EQS: (2604), (2605) imply: % 51.90/8.57 | | | | | | | | | | | | | | (2606) all_567_1 = all_525_0 % 51.90/8.57 | | | | | | | | | | | | | | % 51.90/8.57 | | | | | | | | | | | | | | SIMP: (2606) implies: % 51.90/8.58 | | | | | | | | | | | | | | (2607) all_567_1 = all_525_0 % 51.90/8.58 | | | | | | | | | | | | | | % 51.90/8.58 | | | | | | | | | | | | | | COMBINE_EQS: (2600), (2607) imply: % 51.90/8.58 | | | | | | | | | | | | | | (2608) all_553_0 = all_525_0 % 51.90/8.58 | | | | | | | | | | | | | | % 51.90/8.58 | | | | | | | | | | | | | | SIMP: (2608) implies: % 51.90/8.58 | | | | | | | | | | | | | | (2609) all_553_0 = all_525_0 % 51.90/8.58 | | | | | | | | | | | | | | % 51.90/8.58 | | | | | | | | | | | | | | COMBINE_EQS: (2599), (2609) imply: % 51.90/8.58 | | | | | | | | | | | | | | (2610) all_537_0 = all_525_0 % 51.90/8.58 | | | | | | | | | | | | | | % 51.90/8.58 | | | | | | | | | | | | | | SIMP: (2610) implies: % 51.90/8.58 | | | | | | | | | | | | | | (2611) all_537_0 = all_525_0 % 51.90/8.58 | | | | | | | | | | | | | | % 51.90/8.58 | | | | | | | | | | | | | | COMBINE_EQS: (2598), (2611) imply: % 51.90/8.58 | | | | | | | | | | | | | | (2612) all_535_0 = all_525_0 % 51.90/8.58 | | | | | | | | | | | | | | % 51.90/8.58 | | | | | | | | | | | | | | SIMP: (2612) implies: % 51.90/8.58 | | | | | | | | | | | | | | (2613) all_535_0 = all_525_0 % 51.90/8.58 | | | | | | | | | | | | | | % 51.90/8.58 | | | | | | | | | | | | | | COMBINE_EQS: (2597), (2613) imply: % 51.90/8.58 | | | | | | | | | | | | | | (2614) all_525_0 = all_366_0 % 51.90/8.58 | | | | | | | | | | | | | | % 51.90/8.58 | | | | | | | | | | | | | | COMBINE_EQS: (2611), (2614) imply: % 51.90/8.58 | | | | | | | | | | | | | | (2615) all_537_0 = all_366_0 % 51.90/8.58 | | | | | | | | | | | | | | % 51.90/8.58 | | | | | | | | | | | | | | REDUCE: (2586), (2615) imply: % 51.90/8.58 | | | | | | | | | | | | | | (2616) product(all_366_0, all_8_2) = all_366_0 % 51.90/8.58 | | | | | | | | | | | | | | % 51.90/8.58 | | | | | | | | | | | | | | REDUCE: (2579), (2595) imply: % 51.90/8.58 | | | | | | | | | | | | | | (2617) product(all_366_0, all_8_2) = all_8_2 % 51.90/8.58 | | | | | | | | | | | | | | % 51.90/8.58 | | | | | | | | | | | | | | REDUCE: (2576), (2596) imply: % 51.90/8.58 | | | | | | | | | | | | | | (2618) product(all_366_0, all_8_5) = all_8_6 % 51.90/8.58 | | | | | | | | | | | | | | % 51.90/8.58 | | | | | | | | | | | | | | GROUND_INST: instantiating (17) with all_366_0, all_8_6, % 51.90/8.58 | | | | | | | | | | | | | | all_8_5, all_366_0, simplifying with (2540), % 51.90/8.58 | | | | | | | | | | | | | | (2618) gives: % 51.90/8.58 | | | | | | | | | | | | | | (2619) all_366_0 = all_8_6 % 51.90/8.58 | | | | | | | | | | | | | | % 51.90/8.58 | | | | | | | | | | | | | | GROUND_INST: instantiating (17) with all_533_0, all_8_2, % 51.90/8.58 | | | | | | | | | | | | | | all_8_2, all_366_0, simplifying with (2581), % 51.90/8.58 | | | | | | | | | | | | | | (2617) gives: % 51.90/8.58 | | | | | | | | | | | | | | (2620) all_533_0 = all_8_2 % 51.90/8.58 | | | | | | | | | | | | | | % 51.90/8.58 | | | | | | | | | | | | | | GROUND_INST: instantiating (17) with all_533_0, all_366_0, % 51.90/8.58 | | | | | | | | | | | | | | all_8_2, all_366_0, simplifying with (2581), % 51.90/8.58 | | | | | | | | | | | | | | (2616) gives: % 51.90/8.58 | | | | | | | | | | | | | | (2621) all_533_0 = all_366_0 % 51.90/8.58 | | | | | | | | | | | | | | % 51.90/8.58 | | | | | | | | | | | | | | COMBINE_EQS: (2620), (2621) imply: % 51.90/8.58 | | | | | | | | | | | | | | (2622) all_366_0 = all_8_2 % 51.90/8.58 | | | | | | | | | | | | | | % 51.90/8.58 | | | | | | | | | | | | | | COMBINE_EQS: (2619), (2622) imply: % 51.90/8.58 | | | | | | | | | | | | | | (2623) all_8_2 = all_8_6 % 51.90/8.58 | | | | | | | | | | | | | | % 51.90/8.58 | | | | | | | | | | | | | | SIMP: (2623) implies: % 51.90/8.58 | | | | | | | | | | | | | | (2624) all_8_2 = all_8_6 % 51.90/8.58 | | | | | | | | | | | | | | % 51.90/8.58 | | | | | | | | | | | | | | REDUCE: (2077), (2624) imply: % 51.90/8.58 | | | | | | | | | | | | | | (2625) $false % 51.90/8.58 | | | | | | | | | | | | | | % 51.90/8.58 | | | | | | | | | | | | | | CLOSE: (2625) is inconsistent. % 51.90/8.58 | | | | | | | | | | | | | | % 51.90/8.58 | | | | | | | | | | | | | End of split % 51.90/8.58 | | | | | | | | | | | | | % 51.90/8.58 | | | | | | | | | | | | End of split % 51.90/8.58 | | | | | | | | | | | | % 51.90/8.58 | | | | | | | | | | | End of split % 51.90/8.58 | | | | | | | | | | | % 51.90/8.58 | | | | | | | | | | End of split % 51.90/8.58 | | | | | | | | | | % 51.90/8.58 | | | | | | | | | Case 2: % 51.90/8.58 | | | | | | | | | | % 51.90/8.58 | | | | | | | | | | (2626) all_31_0 = all_8_6 & all_8_3 = all_8_5 % 51.90/8.58 | | | | | | | | | | % 51.90/8.58 | | | | | | | | | | ALPHA: (2626) implies: % 51.90/8.58 | | | | | | | | | | (2627) all_31_0 = all_8_6 % 51.90/8.58 | | | | | | | | | | % 51.90/8.58 | | | | | | | | | | COMBINE_EQS: (110), (2627) imply: % 51.90/8.58 | | | | | | | | | | (2628) all_8_1 = all_8_6 % 51.90/8.58 | | | | | | | | | | % 51.90/8.58 | | | | | | | | | | REDUCE: (157), (2628) imply: % 51.90/8.58 | | | | | | | | | | (2629) product(all_8_6, all_8_6) = all_8_2 % 51.90/8.58 | | | | | | | | | | % 51.90/8.58 | | | | | | | | | | REF_CLOSE: (17), (374), (2077), (2629) are inconsistent by % 51.90/8.58 | | | | | | | | | | sub-proof #2. % 51.90/8.58 | | | | | | | | | | % 51.90/8.58 | | | | | | | | | End of split % 51.90/8.58 | | | | | | | | | % 51.90/8.58 | | | | | | | | Case 2: % 51.90/8.58 | | | | | | | | | % 51.90/8.58 | | | | | | | | | (2630) all_313_0 = all_8_5 % 51.90/8.58 | | | | | | | | | (2631) ~ (all_313_1 = all_8_1) % 51.90/8.58 | | | | | | | | | % 51.90/8.58 | | | | | | | | | COMBINE_EQS: (2090), (2630) imply: % 51.90/8.58 | | | | | | | | | (2632) all_8_1 = all_8_5 % 51.90/8.58 | | | | | | | | | % 51.90/8.58 | | | | | | | | | REDUCE: (2089), (2631), (2632) imply: % 51.90/8.58 | | | | | | | | | (2633) $false % 51.90/8.58 | | | | | | | | | % 51.90/8.58 | | | | | | | | | CLOSE: (2633) is inconsistent. % 51.90/8.58 | | | | | | | | | % 51.90/8.58 | | | | | | | | End of split % 51.90/8.58 | | | | | | | | % 52.36/8.58 | | | | | | | End of split % 52.36/8.58 | | | | | | | % 52.36/8.58 | | | | | | Case 2: % 52.36/8.58 | | | | | | | % 52.36/8.58 | | | | | | | (2634) all_25_0 = all_8_5 & all_8_0 = all_8_1 % 52.36/8.58 | | | | | | | % 52.36/8.58 | | | | | | | ALPHA: (2634) implies: % 52.36/8.58 | | | | | | | (2635) all_8_0 = all_8_1 % 52.36/8.58 | | | | | | | % 52.36/8.58 | | | | | | | COMBINE_EQS: (2071), (2635) imply: % 52.36/8.58 | | | | | | | (2636) all_8_1 = all_8_5 % 52.36/8.58 | | | | | | | % 52.36/8.58 | | | | | | | SIMP: (2636) implies: % 52.36/8.58 | | | | | | | (2637) all_8_1 = all_8_5 % 52.36/8.58 | | | | | | | % 52.36/8.58 | | | | | | | REDUCE: (600), (2637) imply: % 52.36/8.59 | | | | | | | (2638) product(all_8_5, all_8_3) = all_8_2 % 52.36/8.59 | | | | | | | % 52.36/8.59 | | | | | | | REDUCE: (157), (2637) imply: % 52.36/8.59 | | | | | | | (2639) product(all_8_5, all_8_6) = all_8_2 % 52.36/8.59 | | | | | | | % 52.36/8.59 | | | | | | | REDUCE: (25), (2637) imply: % 52.36/8.59 | | | | | | | (2640) product(all_8_6, all_8_5) = all_8_5 % 52.36/8.59 | | | | | | | % 52.36/8.59 | | | | | | | BETA: splitting (182) gives: % 52.36/8.59 | | | | | | | % 52.36/8.59 | | | | | | | Case 1: % 52.36/8.59 | | | | | | | | % 52.36/8.59 | | | | | | | | (2641) all_23_1 = 0 % 52.36/8.59 | | | | | | | | % 52.36/8.59 | | | | | | | | REDUCE: (2079), (2641) imply: % 52.36/8.59 | | | | | | | | (2642) $false % 52.36/8.59 | | | | | | | | % 52.36/8.59 | | | | | | | | CLOSE: (2642) is inconsistent. % 52.36/8.59 | | | | | | | | % 52.36/8.59 | | | | | | | Case 2: % 52.36/8.59 | | | | | | | | % 52.36/8.59 | | | | | | | | (2643) ? [v0: $i] : ? [v1: $i] : (product(all_8_5, all_8_6) % 52.36/8.59 | | | | | | | | = v1 & product(all_8_6, all_8_5) = v0 & $i(v1) & % 52.36/8.59 | | | | | | | | $i(v0) & ( ~ (v1 = all_8_6) | ~ (v0 = all_8_5))) % 52.36/8.59 | | | | | | | | % 52.36/8.59 | | | | | | | | DELTA: instantiating (2643) with fresh symbols all_317_0, % 52.36/8.59 | | | | | | | | all_317_1 gives: % 52.36/8.59 | | | | | | | | (2644) product(all_8_5, all_8_6) = all_317_0 & % 52.36/8.59 | | | | | | | | product(all_8_6, all_8_5) = all_317_1 & $i(all_317_0) % 52.36/8.59 | | | | | | | | & $i(all_317_1) & ( ~ (all_317_0 = all_8_6) | ~ % 52.36/8.59 | | | | | | | | (all_317_1 = all_8_5)) % 52.36/8.59 | | | | | | | | % 52.36/8.59 | | | | | | | | ALPHA: (2644) implies: % 52.36/8.59 | | | | | | | | (2645) $i(all_317_1) % 52.36/8.59 | | | | | | | | (2646) product(all_8_6, all_8_5) = all_317_1 % 52.36/8.59 | | | | | | | | (2647) product(all_8_5, all_8_6) = all_317_0 % 52.36/8.59 | | | | | | | | % 52.36/8.59 | | | | | | | | GROUND_INST: instantiating (17) with all_8_5, all_317_1, % 52.36/8.59 | | | | | | | | all_8_5, all_8_6, simplifying with (2640), (2646) % 52.36/8.59 | | | | | | | | gives: % 52.36/8.59 | | | | | | | | (2648) all_317_1 = all_8_5 % 52.36/8.59 | | | | | | | | % 52.36/8.59 | | | | | | | | GROUND_INST: instantiating (17) with all_8_3, all_317_0, % 52.36/8.59 | | | | | | | | all_8_6, all_8_5, simplifying with (27), (2647) % 52.36/8.59 | | | | | | | | gives: % 52.36/8.59 | | | | | | | | (2649) all_317_0 = all_8_3 % 52.36/8.59 | | | | | | | | % 52.36/8.59 | | | | | | | | GROUND_INST: instantiating (17) with all_8_2, all_317_0, % 52.36/8.59 | | | | | | | | all_8_6, all_8_5, simplifying with (2639), (2647) % 52.36/8.59 | | | | | | | | gives: % 52.36/8.59 | | | | | | | | (2650) all_317_0 = all_8_2 % 52.36/8.59 | | | | | | | | % 52.36/8.59 | | | | | | | | COMBINE_EQS: (2649), (2650) imply: % 52.36/8.59 | | | | | | | | (2651) all_8_2 = all_8_3 % 52.36/8.59 | | | | | | | | % 52.36/8.59 | | | | | | | | REDUCE: (2077), (2651) imply: % 52.36/8.59 | | | | | | | | (2652) ~ (all_8_3 = all_8_6) % 52.36/8.59 | | | | | | | | % 52.36/8.59 | | | | | | | | REDUCE: (26), (2651) imply: % 52.36/8.59 | | | | | | | | (2653) product(all_8_6, all_8_3) = all_8_3 % 52.36/8.59 | | | | | | | | % 52.36/8.59 | | | | | | | | GROUND_INST: instantiating (1) with all_8_3, all_8_6, all_8_5, % 52.36/8.59 | | | | | | | | all_8_3, all_8_3, simplifying with (21), (22), % 52.36/8.59 | | | | | | | | (23), (448), (2653) gives: % 52.36/8.59 | | | | | | | | (2654) ? [v0: $i] : (product(v0, all_8_3) = all_8_3 & % 52.36/8.59 | | | | | | | | product(all_8_5, all_8_6) = v0 & $i(v0)) % 52.36/8.59 | | | | | | | | % 52.36/8.59 | | | | | | | | GROUND_INST: instantiating (2) with all_8_3, all_8_5, all_8_3, % 52.36/8.59 | | | | | | | | all_8_5, all_8_3, simplifying with (22), (23), % 52.36/8.59 | | | | | | | | (448), (2073) gives: % 52.36/8.59 | | | | | | | | (2655) ? [v0: $i] : (product(all_8_3, v0) = all_8_3 & % 52.36/8.59 | | | | | | | | product(all_8_5, all_8_3) = v0 & $i(v0)) % 52.36/8.59 | | | | | | | | % 52.36/8.59 | | | | | | | | GROUND_INST: instantiating (2) with all_8_6, all_8_5, all_8_3, % 52.36/8.59 | | | | | | | | all_8_5, all_8_3, simplifying with (21), (22), % 52.36/8.59 | | | | | | | | (23), (27), (2073) gives: % 52.36/8.59 | | | | | | | | (2656) ? [v0: $i] : (product(all_8_3, v0) = all_8_3 & % 52.36/8.59 | | | | | | | | product(all_8_5, all_8_6) = v0 & $i(v0)) % 52.36/8.59 | | | | | | | | % 52.36/8.59 | | | | | | | | GROUND_INST: instantiating (1) with all_8_5, all_8_3, all_8_3, % 52.36/8.59 | | | | | | | | all_8_5, all_8_5, simplifying with (22), (23), % 52.36/8.59 | | | | | | | | (2073) gives: % 52.36/8.59 | | | | | | | | (2657) ? [v0: $i] : (product(v0, all_8_5) = all_8_5 & % 52.36/8.59 | | | | | | | | product(all_8_3, all_8_3) = v0 & $i(v0)) % 52.36/8.59 | | | | | | | | % 52.36/8.59 | | | | | | | | GROUND_INST: instantiating (15) with all_8_6, all_8_5, % 52.36/8.59 | | | | | | | | simplifying with (21), (22), (680) gives: % 52.36/8.59 | | | | | | | | (2658) ? [v0: $i] : (r(all_8_6, v0) = 0 & l(v0, all_8_5) = 0 % 52.36/8.59 | | | | | | | | & $i(v0)) % 52.36/8.59 | | | | | | | | % 52.36/8.59 | | | | | | | | DELTA: instantiating (2658) with fresh symbol all_328_0 gives: % 52.36/8.59 | | | | | | | | (2659) r(all_8_6, all_328_0) = 0 & l(all_328_0, all_8_5) = 0 % 52.36/8.59 | | | | | | | | & $i(all_328_0) % 52.36/8.59 | | | | | | | | % 52.36/8.59 | | | | | | | | ALPHA: (2659) implies: % 52.36/8.59 | | | | | | | | (2660) $i(all_328_0) % 52.36/8.59 | | | | | | | | (2661) l(all_328_0, all_8_5) = 0 % 52.36/8.59 | | | | | | | | (2662) r(all_8_6, all_328_0) = 0 % 52.36/8.59 | | | | | | | | % 52.36/8.59 | | | | | | | | DELTA: instantiating (2657) with fresh symbol all_330_0 gives: % 52.36/8.59 | | | | | | | | (2663) product(all_330_0, all_8_5) = all_8_5 & % 52.36/8.59 | | | | | | | | product(all_8_3, all_8_3) = all_330_0 & $i(all_330_0) % 52.36/8.59 | | | | | | | | % 52.36/8.59 | | | | | | | | ALPHA: (2663) implies: % 52.36/8.59 | | | | | | | | (2664) $i(all_330_0) % 52.36/8.59 | | | | | | | | (2665) product(all_8_3, all_8_3) = all_330_0 % 52.36/8.59 | | | | | | | | (2666) product(all_330_0, all_8_5) = all_8_5 % 52.36/8.59 | | | | | | | | % 52.36/8.59 | | | | | | | | DELTA: instantiating (2655) with fresh symbol all_332_0 gives: % 52.36/8.59 | | | | | | | | (2667) product(all_8_3, all_332_0) = all_8_3 & % 52.36/8.59 | | | | | | | | product(all_8_5, all_8_3) = all_332_0 & $i(all_332_0) % 52.36/8.59 | | | | | | | | % 52.36/8.59 | | | | | | | | ALPHA: (2667) implies: % 52.36/8.59 | | | | | | | | (2668) product(all_8_5, all_8_3) = all_332_0 % 52.36/8.59 | | | | | | | | (2669) product(all_8_3, all_332_0) = all_8_3 % 52.36/8.59 | | | | | | | | % 52.36/8.59 | | | | | | | | DELTA: instantiating (2654) with fresh symbol all_334_0 gives: % 52.36/8.59 | | | | | | | | (2670) product(all_334_0, all_8_3) = all_8_3 & % 52.36/8.59 | | | | | | | | product(all_8_5, all_8_6) = all_334_0 & $i(all_334_0) % 52.36/8.59 | | | | | | | | % 52.36/8.59 | | | | | | | | ALPHA: (2670) implies: % 52.36/8.59 | | | | | | | | (2671) product(all_8_5, all_8_6) = all_334_0 % 52.36/8.59 | | | | | | | | % 52.36/8.59 | | | | | | | | DELTA: instantiating (2656) with fresh symbol all_336_0 gives: % 52.36/8.59 | | | | | | | | (2672) product(all_8_3, all_336_0) = all_8_3 & % 52.36/8.59 | | | | | | | | product(all_8_5, all_8_6) = all_336_0 & $i(all_336_0) % 52.36/8.59 | | | | | | | | % 52.36/8.59 | | | | | | | | ALPHA: (2672) implies: % 52.36/8.59 | | | | | | | | (2673) product(all_8_5, all_8_6) = all_336_0 % 52.36/8.59 | | | | | | | | % 52.36/8.59 | | | | | | | | GROUND_INST: instantiating (17) with all_8_3, all_336_0, % 52.36/8.59 | | | | | | | | all_8_6, all_8_5, simplifying with (27), (2673) % 52.36/8.59 | | | | | | | | gives: % 52.36/8.59 | | | | | | | | (2674) all_336_0 = all_8_3 % 52.36/8.59 | | | | | | | | % 52.36/8.59 | | | | | | | | GROUND_INST: instantiating (17) with all_334_0, all_336_0, % 52.36/8.59 | | | | | | | | all_8_6, all_8_5, simplifying with (2671), (2673) % 52.36/8.59 | | | | | | | | gives: % 52.36/8.59 | | | | | | | | (2675) all_336_0 = all_334_0 % 52.36/8.59 | | | | | | | | % 52.36/8.59 | | | | | | | | GROUND_INST: instantiating (17) with all_8_3, all_332_0, % 52.36/8.59 | | | | | | | | all_8_3, all_8_5, simplifying with (448), (2668) % 52.36/8.59 | | | | | | | | gives: % 52.36/8.59 | | | | | | | | (2676) all_332_0 = all_8_3 % 52.36/8.59 | | | | | | | | % 52.36/8.59 | | | | | | | | COMBINE_EQS: (2674), (2675) imply: % 52.36/8.59 | | | | | | | | (2677) all_334_0 = all_8_3 % 52.36/8.59 | | | | | | | | % 52.36/8.59 | | | | | | | | REDUCE: (2669), (2676) imply: % 52.36/8.59 | | | | | | | | (2678) product(all_8_3, all_8_3) = all_8_3 % 52.36/8.59 | | | | | | | | % 52.36/8.59 | | | | | | | | GROUND_INST: instantiating (17) with all_330_0, all_8_3, % 52.36/8.59 | | | | | | | | all_8_3, all_8_3, simplifying with (2665), (2678) % 52.36/8.59 | | | | | | | | gives: % 52.36/8.59 | | | | | | | | (2679) all_330_0 = all_8_3 % 52.36/8.59 | | | | | | | | % 52.36/8.59 | | | | | | | | BETA: splitting (203) gives: % 52.36/8.59 | | | | | | | | % 52.36/8.59 | | | | | | | | Case 1: % 52.36/8.59 | | | | | | | | | % 52.36/8.59 | | | | | | | | | (2680) ~ (all_70_1 = 0) % 52.36/8.59 | | | | | | | | | % 52.36/8.59 | | | | | | | | | BETA: splitting (297) gives: % 52.36/8.59 | | | | | | | | | % 52.36/8.59 | | | | | | | | | Case 1: % 52.36/8.59 | | | | | | | | | | % 52.36/8.59 | | | | | | | | | | (2681) all_70_1 = 0 % 52.36/8.59 | | | | | | | | | | % 52.36/8.59 | | | | | | | | | | REDUCE: (2680), (2681) imply: % 52.36/8.59 | | | | | | | | | | (2682) $false % 52.36/8.59 | | | | | | | | | | % 52.36/8.59 | | | | | | | | | | CLOSE: (2682) is inconsistent. % 52.36/8.59 | | | | | | | | | | % 52.36/8.59 | | | | | | | | | Case 2: % 52.36/8.59 | | | | | | | | | | % 52.36/8.59 | | | | | | | | | | (2683) ? [v0: $i] : ? [v1: $i] : (product(all_8_3, % 52.36/8.59 | | | | | | | | | | all_8_5) = v1 & product(all_8_5, all_8_3) = v0 % 52.36/8.59 | | | | | | | | | | & $i(v1) & $i(v0) & ( ~ (v1 = all_8_3) | ~ (v0 % 52.36/8.59 | | | | | | | | | | = all_8_5))) % 52.36/8.59 | | | | | | | | | | % 52.36/8.59 | | | | | | | | | | DELTA: instantiating (2683) with fresh symbols all_356_0, % 52.36/8.59 | | | | | | | | | | all_356_1 gives: % 52.36/8.59 | | | | | | | | | | (2684) product(all_8_3, all_8_5) = all_356_0 & % 52.36/8.59 | | | | | | | | | | product(all_8_5, all_8_3) = all_356_1 & % 52.36/8.59 | | | | | | | | | | $i(all_356_0) & $i(all_356_1) & ( ~ (all_356_0 = % 52.36/8.59 | | | | | | | | | | all_8_3) | ~ (all_356_1 = all_8_5)) % 52.36/8.59 | | | | | | | | | | % 52.36/8.59 | | | | | | | | | | ALPHA: (2684) implies: % 52.36/8.59 | | | | | | | | | | (2685) $i(all_356_1) % 52.36/8.59 | | | | | | | | | | (2686) $i(all_356_0) % 52.36/8.59 | | | | | | | | | | (2687) product(all_8_5, all_8_3) = all_356_1 % 52.36/8.59 | | | | | | | | | | (2688) product(all_8_3, all_8_5) = all_356_0 % 52.36/8.59 | | | | | | | | | | (2689) ~ (all_356_0 = all_8_3) | ~ (all_356_1 = % 52.36/8.59 | | | | | | | | | | all_8_5) % 52.36/8.59 | | | | | | | | | | % 52.36/8.59 | | | | | | | | | | GROUND_INST: instantiating (17) with all_8_3, all_356_1, % 52.36/8.59 | | | | | | | | | | all_8_3, all_8_5, simplifying with (448), (2687) % 52.36/8.59 | | | | | | | | | | gives: % 52.36/8.59 | | | | | | | | | | (2690) all_356_1 = all_8_3 % 52.36/8.59 | | | | | | | | | | % 52.36/8.59 | | | | | | | | | | GROUND_INST: instantiating (17) with all_8_5, all_356_0, % 52.36/8.59 | | | | | | | | | | all_8_5, all_8_3, simplifying with (2073), (2688) % 52.36/8.59 | | | | | | | | | | gives: % 52.36/8.59 | | | | | | | | | | (2691) all_356_0 = all_8_5 % 52.36/8.59 | | | | | | | | | | % 52.36/8.59 | | | | | | | | | | BETA: splitting (2689) gives: % 52.36/8.59 | | | | | | | | | | % 52.36/8.59 | | | | | | | | | | Case 1: % 52.36/8.59 | | | | | | | | | | | % 52.36/8.59 | | | | | | | | | | | % 52.36/8.59 | | | | | | | | | | | GROUND_INST: instantiating (4) with all_8_3, all_8_3, % 52.36/8.59 | | | | | | | | | | | simplifying with (23), (2678) gives: % 52.36/8.59 | | | | | | | | | | | (2692) ? [v0: $i] : ? [v1: any] : (l(all_8_3, all_8_3) % 52.36/8.59 | | | | | | | | | | | = v1 & product(all_8_3, all_8_3) = v0 & $i(v0) & % 52.36/8.59 | | | | | | | | | | | ( ~ (v0 = all_8_3) | v1 = 0)) % 52.36/8.59 | | | | | | | | | | | % 52.36/8.59 | | | | | | | | | | | GROUND_INST: instantiating (10) with all_8_3, all_8_3, % 52.36/8.59 | | | | | | | | | | | simplifying with (23), (2678) gives: % 52.36/8.59 | | | | | | | | | | | (2693) ? [v0: $i] : ? [v1: any] : (r(all_8_3, all_8_3) % 52.36/8.59 | | | | | | | | | | | = v1 & product(all_8_3, all_8_3) = v0 & $i(v0) & % 52.36/8.59 | | | | | | | | | | | ( ~ (v0 = all_8_3) | v1 = 0)) % 52.36/8.59 | | | | | | | | | | | % 52.36/8.59 | | | | | | | | | | | GROUND_INST: instantiating (13) with all_8_3, all_8_3, all_8_3, % 52.36/8.59 | | | | | | | | | | | simplifying with (23), (2678) gives: % 52.36/8.59 | | | | | | | | | | | (2694) ? [v0: any] : ? [v1: $i] : (r(all_8_3, all_8_3) % 52.36/8.59 | | | | | | | | | | | = v0 & product(all_8_3, all_8_3) = v1 & $i(v1) & % 52.36/8.59 | | | | | | | | | | | ( ~ (v0 = 0) | v1 = all_8_3)) % 52.36/8.59 | | | | | | | | | | | % 52.36/8.59 | | | | | | | | | | | GROUND_INST: instantiating (7) with all_8_3, all_8_3, all_8_3, % 52.36/8.59 | | | | | | | | | | | simplifying with (23), (2678) gives: % 52.36/8.59 | | | | | | | | | | | (2695) ? [v0: any] : ? [v1: $i] : (l(all_8_3, all_8_3) % 52.36/8.59 | | | | | | | | | | | = v0 & product(all_8_3, all_8_3) = v1 & $i(v1) & % 52.36/8.59 | | | | | | | | | | | ( ~ (v0 = 0) | v1 = all_8_3)) % 52.36/8.59 | | | | | | | | | | | % 52.36/8.59 | | | | | | | | | | | GROUND_INST: instantiating (5) with all_328_0, all_8_5, % 52.36/8.59 | | | | | | | | | | | simplifying with (22), (2660), (2661) gives: % 52.36/8.59 | | | | | | | | | | | (2696) product(all_328_0, all_8_5) = all_328_0 & % 52.36/8.59 | | | | | | | | | | | product(all_8_5, all_328_0) = all_8_5 % 52.36/8.59 | | | | | | | | | | | % 52.36/8.59 | | | | | | | | | | | ALPHA: (2696) implies: % 52.36/8.59 | | | | | | | | | | | (2697) product(all_8_5, all_328_0) = all_8_5 % 52.36/8.59 | | | | | | | | | | | (2698) product(all_328_0, all_8_5) = all_328_0 % 52.36/8.59 | | | | | | | | | | | % 52.36/8.59 | | | | | | | | | | | GROUND_INST: instantiating (11) with all_8_6, all_328_0, % 52.36/8.59 | | | | | | | | | | | simplifying with (21), (2660), (2662) gives: % 52.36/8.59 | | | | | | | | | | | (2699) product(all_328_0, all_8_6) = all_8_6 & % 52.36/8.59 | | | | | | | | | | | product(all_8_6, all_328_0) = all_328_0 % 52.36/8.59 | | | | | | | | | | | % 52.36/8.59 | | | | | | | | | | | ALPHA: (2699) implies: % 52.36/8.59 | | | | | | | | | | | (2700) product(all_8_6, all_328_0) = all_328_0 % 52.36/8.59 | | | | | | | | | | | (2701) product(all_328_0, all_8_6) = all_8_6 % 52.36/8.59 | | | | | | | | | | | % 52.36/8.59 | | | | | | | | | | | DELTA: instantiating (2695) with fresh symbols all_376_0, % 52.36/8.59 | | | | | | | | | | | all_376_1 gives: % 52.36/8.59 | | | | | | | | | | | (2702) l(all_8_3, all_8_3) = all_376_1 & product(all_8_3, % 52.36/8.59 | | | | | | | | | | | all_8_3) = all_376_0 & $i(all_376_0) & ( ~ % 52.36/8.59 | | | | | | | | | | | (all_376_1 = 0) | all_376_0 = all_8_3) % 52.36/8.59 | | | | | | | | | | | % 52.36/8.59 | | | | | | | | | | | ALPHA: (2702) implies: % 52.36/8.59 | | | | | | | | | | | (2703) $i(all_376_0) % 52.36/8.60 | | | | | | | | | | | (2704) product(all_8_3, all_8_3) = all_376_0 % 52.36/8.60 | | | | | | | | | | | % 52.36/8.60 | | | | | | | | | | | DELTA: instantiating (2694) with fresh symbols all_378_0, % 52.36/8.60 | | | | | | | | | | | all_378_1 gives: % 52.36/8.60 | | | | | | | | | | | (2705) r(all_8_3, all_8_3) = all_378_1 & product(all_8_3, % 52.36/8.60 | | | | | | | | | | | all_8_3) = all_378_0 & $i(all_378_0) & ( ~ % 52.36/8.60 | | | | | | | | | | | (all_378_1 = 0) | all_378_0 = all_8_3) % 52.36/8.60 | | | | | | | | | | | % 52.36/8.60 | | | | | | | | | | | ALPHA: (2705) implies: % 52.36/8.60 | | | | | | | | | | | (2706) product(all_8_3, all_8_3) = all_378_0 % 52.36/8.60 | | | | | | | | | | | % 52.36/8.60 | | | | | | | | | | | DELTA: instantiating (2693) with fresh symbols all_380_0, % 52.36/8.60 | | | | | | | | | | | all_380_1 gives: % 52.36/8.60 | | | | | | | | | | | (2707) r(all_8_3, all_8_3) = all_380_0 & product(all_8_3, % 52.36/8.60 | | | | | | | | | | | all_8_3) = all_380_1 & $i(all_380_1) & ( ~ % 52.36/8.60 | | | | | | | | | | | (all_380_1 = all_8_3) | all_380_0 = 0) % 52.36/8.60 | | | | | | | | | | | % 52.36/8.60 | | | | | | | | | | | ALPHA: (2707) implies: % 52.36/8.60 | | | | | | | | | | | (2708) product(all_8_3, all_8_3) = all_380_1 % 52.36/8.60 | | | | | | | | | | | (2709) ~ (all_380_1 = all_8_3) | all_380_0 = 0 % 52.36/8.60 | | | | | | | | | | | % 52.36/8.60 | | | | | | | | | | | DELTA: instantiating (2692) with fresh symbols all_382_0, % 52.36/8.60 | | | | | | | | | | | all_382_1 gives: % 52.36/8.60 | | | | | | | | | | | (2710) l(all_8_3, all_8_3) = all_382_0 & product(all_8_3, % 52.36/8.60 | | | | | | | | | | | all_8_3) = all_382_1 & $i(all_382_1) & ( ~ % 52.36/8.60 | | | | | | | | | | | (all_382_1 = all_8_3) | all_382_0 = 0) % 52.36/8.60 | | | | | | | | | | | % 52.36/8.60 | | | | | | | | | | | ALPHA: (2710) implies: % 52.36/8.60 | | | | | | | | | | | (2711) product(all_8_3, all_8_3) = all_382_1 % 52.36/8.60 | | | | | | | | | | | % 52.36/8.60 | | | | | | | | | | | GROUND_INST: instantiating (17) with all_376_0, all_378_0, % 52.36/8.60 | | | | | | | | | | | all_8_3, all_8_3, simplifying with (2704), (2706) % 52.36/8.60 | | | | | | | | | | | gives: % 52.36/8.60 | | | | | | | | | | | (2712) all_378_0 = all_376_0 % 52.36/8.60 | | | | | | | | | | | % 52.36/8.60 | | | | | | | | | | | GROUND_INST: instantiating (17) with all_378_0, all_380_1, % 52.36/8.60 | | | | | | | | | | | all_8_3, all_8_3, simplifying with (2706), (2708) % 52.36/8.60 | | | | | | | | | | | gives: % 52.36/8.60 | | | | | | | | | | | (2713) all_380_1 = all_378_0 % 52.36/8.60 | | | | | | | | | | | % 52.36/8.60 | | | | | | | | | | | GROUND_INST: instantiating (17) with all_8_3, all_382_1, % 52.36/8.60 | | | | | | | | | | | all_8_3, all_8_3, simplifying with (2678), (2711) % 52.36/8.60 | | | | | | | | | | | gives: % 52.36/8.60 | | | | | | | | | | | (2714) all_382_1 = all_8_3 % 52.36/8.60 | | | | | | | | | | | % 52.36/8.60 | | | | | | | | | | | GROUND_INST: instantiating (17) with all_380_1, all_382_1, % 52.36/8.60 | | | | | | | | | | | all_8_3, all_8_3, simplifying with (2708), (2711) % 52.36/8.60 | | | | | | | | | | | gives: % 52.36/8.60 | | | | | | | | | | | (2715) all_382_1 = all_380_1 % 52.36/8.60 | | | | | | | | | | | % 52.36/8.60 | | | | | | | | | | | COMBINE_EQS: (2714), (2715) imply: % 52.36/8.60 | | | | | | | | | | | (2716) all_380_1 = all_8_3 % 52.36/8.60 | | | | | | | | | | | % 52.36/8.60 | | | | | | | | | | | SIMP: (2716) implies: % 52.36/8.60 | | | | | | | | | | | (2717) all_380_1 = all_8_3 % 52.36/8.60 | | | | | | | | | | | % 52.36/8.60 | | | | | | | | | | | COMBINE_EQS: (2713), (2717) imply: % 52.36/8.60 | | | | | | | | | | | (2718) all_378_0 = all_8_3 % 52.36/8.60 | | | | | | | | | | | % 52.36/8.60 | | | | | | | | | | | SIMP: (2718) implies: % 52.36/8.60 | | | | | | | | | | | (2719) all_378_0 = all_8_3 % 52.36/8.60 | | | | | | | | | | | % 52.36/8.60 | | | | | | | | | | | COMBINE_EQS: (2712), (2719) imply: % 52.36/8.60 | | | | | | | | | | | (2720) all_376_0 = all_8_3 % 52.36/8.60 | | | | | | | | | | | % 52.36/8.60 | | | | | | | | | | | SIMP: (2720) implies: % 52.36/8.60 | | | | | | | | | | | (2721) all_376_0 = all_8_3 % 52.36/8.60 | | | | | | | | | | | % 52.36/8.60 | | | | | | | | | | | BETA: splitting (2709) gives: % 52.36/8.60 | | | | | | | | | | | % 52.36/8.60 | | | | | | | | | | | Case 1: % 52.36/8.60 | | | | | | | | | | | | % 52.36/8.60 | | | | | | | | | | | | (2722) ~ (all_380_1 = all_8_3) % 52.36/8.60 | | | | | | | | | | | | % 52.36/8.60 | | | | | | | | | | | | REDUCE: (2717), (2722) imply: % 52.36/8.60 | | | | | | | | | | | | (2723) $false % 52.36/8.60 | | | | | | | | | | | | % 52.36/8.60 | | | | | | | | | | | | CLOSE: (2723) is inconsistent. % 52.36/8.60 | | | | | | | | | | | | % 52.36/8.60 | | | | | | | | | | | Case 2: % 52.36/8.60 | | | | | | | | | | | | % 52.36/8.60 | | | | | | | | | | | | % 52.36/8.60 | | | | | | | | | | | | GROUND_INST: instantiating (2) with all_8_3, all_328_0, % 52.36/8.60 | | | | | | | | | | | | all_8_5, all_8_5, all_8_3, simplifying with (22), % 52.36/8.60 | | | | | | | | | | | | (23), (448), (2660), (2697) gives: % 52.36/8.60 | | | | | | | | | | | | (2724) ? [v0: $i] : (product(all_328_0, all_8_3) = v0 & % 52.36/8.60 | | | | | | | | | | | | product(all_8_5, v0) = all_8_3 & $i(v0)) % 52.36/8.60 | | | | | | | | | | | | % 52.36/8.60 | | | | | | | | | | | | GROUND_INST: instantiating (1) with all_328_0, all_8_6, % 52.36/8.60 | | | | | | | | | | | | all_8_5, all_328_0, all_8_5, simplifying with % 52.36/8.60 | | | | | | | | | | | | (21), (22), (2660), (2697), (2700) gives: % 52.36/8.60 | | | | | | | | | | | | (2725) ? [v0: $i] : (product(v0, all_328_0) = all_8_5 & % 52.36/8.60 | | | | | | | | | | | | product(all_8_5, all_8_6) = v0 & $i(v0)) % 52.36/8.60 | | | | | | | | | | | | % 52.36/8.60 | | | | | | | | | | | | GROUND_INST: instantiating (2) with all_8_3, all_8_6, % 52.36/8.60 | | | | | | | | | | | | all_328_0, all_8_6, all_8_3, simplifying with % 52.36/8.60 | | | | | | | | | | | | (21), (23), (2653), (2660), (2701) gives: % 52.36/8.60 | | | | | | | | | | | | (2726) ? [v0: $i] : (product(all_328_0, v0) = all_8_3 & % 52.36/8.60 | | | | | | | | | | | | product(all_8_6, all_8_3) = v0 & $i(v0)) % 52.36/8.60 | | | | | | | | | | | | % 52.36/8.60 | | | | | | | | | | | | GROUND_INST: instantiating (1) with all_8_5, all_8_3, % 52.36/8.60 | | | | | | | | | | | | all_328_0, all_8_5, all_328_0, simplifying with % 52.36/8.60 | | | | | | | | | | | | (22), (23), (2073), (2660), (2698) gives: % 52.36/8.60 | | | | | | | | | | | | (2727) ? [v0: $i] : (product(v0, all_8_5) = all_328_0 & % 52.36/8.60 | | | | | | | | | | | | product(all_328_0, all_8_3) = v0 & $i(v0)) % 52.36/8.60 | | | | | | | | | | | | % 52.36/8.60 | | | | | | | | | | | | GROUND_INST: instantiating (2) with all_8_6, all_8_5, % 52.36/8.60 | | | | | | | | | | | | all_328_0, all_328_0, all_8_6, simplifying with % 52.36/8.60 | | | | | | | | | | | | (21), (22), (2660), (2698), (2701) gives: % 52.36/8.60 | | | | | | | | | | | | (2728) ? [v0: $i] : (product(all_328_0, v0) = all_8_6 & % 52.36/8.60 | | | | | | | | | | | | product(all_8_5, all_8_6) = v0 & $i(v0)) % 52.36/8.60 | | | | | | | | | | | | % 52.36/8.60 | | | | | | | | | | | | DELTA: instantiating (2728) with fresh symbol all_403_0 % 52.36/8.60 | | | | | | | | | | | | gives: % 52.36/8.60 | | | | | | | | | | | | (2729) product(all_328_0, all_403_0) = all_8_6 & % 52.36/8.60 | | | | | | | | | | | | product(all_8_5, all_8_6) = all_403_0 & % 52.36/8.60 | | | | | | | | | | | | $i(all_403_0) % 52.36/8.60 | | | | | | | | | | | | % 52.36/8.60 | | | | | | | | | | | | ALPHA: (2729) implies: % 52.36/8.60 | | | | | | | | | | | | (2730) product(all_8_5, all_8_6) = all_403_0 % 52.36/8.60 | | | | | | | | | | | | (2731) product(all_328_0, all_403_0) = all_8_6 % 52.36/8.60 | | | | | | | | | | | | % 52.36/8.60 | | | | | | | | | | | | DELTA: instantiating (2726) with fresh symbol all_409_0 % 52.36/8.60 | | | | | | | | | | | | gives: % 52.36/8.60 | | | | | | | | | | | | (2732) product(all_328_0, all_409_0) = all_8_3 & % 52.36/8.60 | | | | | | | | | | | | product(all_8_6, all_8_3) = all_409_0 & % 52.36/8.60 | | | | | | | | | | | | $i(all_409_0) % 52.36/8.60 | | | | | | | | | | | | % 52.36/8.60 | | | | | | | | | | | | ALPHA: (2732) implies: % 52.36/8.60 | | | | | | | | | | | | (2733) product(all_8_6, all_8_3) = all_409_0 % 52.36/8.60 | | | | | | | | | | | | (2734) product(all_328_0, all_409_0) = all_8_3 % 52.36/8.60 | | | | | | | | | | | | % 52.36/8.60 | | | | | | | | | | | | DELTA: instantiating (2727) with fresh symbol all_417_0 % 52.36/8.60 | | | | | | | | | | | | gives: % 52.36/8.60 | | | | | | | | | | | | (2735) product(all_417_0, all_8_5) = all_328_0 & % 52.36/8.60 | | | | | | | | | | | | product(all_328_0, all_8_3) = all_417_0 & % 52.36/8.60 | | | | | | | | | | | | $i(all_417_0) % 52.36/8.60 | | | | | | | | | | | | % 52.36/8.60 | | | | | | | | | | | | ALPHA: (2735) implies: % 52.36/8.60 | | | | | | | | | | | | (2736) product(all_328_0, all_8_3) = all_417_0 % 52.36/8.60 | | | | | | | | | | | | % 52.36/8.60 | | | | | | | | | | | | DELTA: instantiating (2725) with fresh symbol all_419_0 % 52.36/8.60 | | | | | | | | | | | | gives: % 52.36/8.60 | | | | | | | | | | | | (2737) product(all_419_0, all_328_0) = all_8_5 & % 52.36/8.60 | | | | | | | | | | | | product(all_8_5, all_8_6) = all_419_0 & % 52.36/8.60 | | | | | | | | | | | | $i(all_419_0) % 52.36/8.60 | | | | | | | | | | | | % 52.36/8.60 | | | | | | | | | | | | ALPHA: (2737) implies: % 52.36/8.60 | | | | | | | | | | | | (2738) product(all_8_5, all_8_6) = all_419_0 % 52.36/8.60 | | | | | | | | | | | | % 52.36/8.60 | | | | | | | | | | | | DELTA: instantiating (2724) with fresh symbol all_423_0 % 52.36/8.60 | | | | | | | | | | | | gives: % 52.36/8.60 | | | | | | | | | | | | (2739) product(all_328_0, all_8_3) = all_423_0 & % 52.36/8.60 | | | | | | | | | | | | product(all_8_5, all_423_0) = all_8_3 & % 52.36/8.60 | | | | | | | | | | | | $i(all_423_0) % 52.36/8.60 | | | | | | | | | | | | % 52.36/8.60 | | | | | | | | | | | | ALPHA: (2739) implies: % 52.36/8.60 | | | | | | | | | | | | (2740) product(all_328_0, all_8_3) = all_423_0 % 52.36/8.60 | | | | | | | | | | | | % 52.36/8.60 | | | | | | | | | | | | GROUND_INST: instantiating (17) with all_8_3, all_409_0, % 52.36/8.60 | | | | | | | | | | | | all_8_3, all_8_6, simplifying with (2653), (2733) % 52.36/8.60 | | | | | | | | | | | | gives: % 52.36/8.60 | | | | | | | | | | | | (2741) all_409_0 = all_8_3 % 52.36/8.60 | | | | | | | | | | | | % 52.36/8.60 | | | | | | | | | | | | GROUND_INST: instantiating (17) with all_8_3, all_419_0, % 52.36/8.60 | | | | | | | | | | | | all_8_6, all_8_5, simplifying with (27), (2738) % 52.36/8.60 | | | | | | | | | | | | gives: % 52.36/8.60 | | | | | | | | | | | | (2742) all_419_0 = all_8_3 % 52.36/8.60 | | | | | | | | | | | | % 52.36/8.60 | | | | | | | | | | | | GROUND_INST: instantiating (17) with all_403_0, all_419_0, % 52.36/8.60 | | | | | | | | | | | | all_8_6, all_8_5, simplifying with (2730), (2738) % 52.36/8.60 | | | | | | | | | | | | gives: % 52.36/8.60 | | | | | | | | | | | | (2743) all_419_0 = all_403_0 % 52.36/8.60 | | | | | | | | | | | | % 52.36/8.60 | | | | | | | | | | | | GROUND_INST: instantiating (17) with all_417_0, all_423_0, % 52.36/8.60 | | | | | | | | | | | | all_8_3, all_328_0, simplifying with (2736), % 52.36/8.60 | | | | | | | | | | | | (2740) gives: % 52.36/8.60 | | | | | | | | | | | | (2744) all_423_0 = all_417_0 % 52.36/8.60 | | | | | | | | | | | | % 52.36/8.60 | | | | | | | | | | | | COMBINE_EQS: (2742), (2743) imply: % 52.36/8.60 | | | | | | | | | | | | (2745) all_403_0 = all_8_3 % 52.36/8.60 | | | | | | | | | | | | % 52.36/8.60 | | | | | | | | | | | | REDUCE: (2734), (2741) imply: % 52.36/8.60 | | | | | | | | | | | | (2746) product(all_328_0, all_8_3) = all_8_3 % 52.36/8.60 | | | | | | | | | | | | % 52.36/8.60 | | | | | | | | | | | | REDUCE: (2731), (2745) imply: % 52.36/8.60 | | | | | | | | | | | | (2747) product(all_328_0, all_8_3) = all_8_6 % 52.36/8.60 | | | | | | | | | | | | % 52.36/8.60 | | | | | | | | | | | | GROUND_INST: instantiating (17) with all_417_0, all_8_6, % 52.36/8.60 | | | | | | | | | | | | all_8_3, all_328_0, simplifying with (2736), % 52.36/8.60 | | | | | | | | | | | | (2747) gives: % 52.36/8.60 | | | | | | | | | | | | (2748) all_417_0 = all_8_6 % 52.36/8.60 | | | | | | | | | | | | % 52.36/8.60 | | | | | | | | | | | | GROUND_INST: instantiating (17) with all_417_0, all_8_3, % 52.36/8.60 | | | | | | | | | | | | all_8_3, all_328_0, simplifying with (2736), % 52.36/8.60 | | | | | | | | | | | | (2746) gives: % 52.36/8.60 | | | | | | | | | | | | (2749) all_417_0 = all_8_3 % 52.36/8.60 | | | | | | | | | | | | % 52.36/8.60 | | | | | | | | | | | | COMBINE_EQS: (2748), (2749) imply: % 52.36/8.60 | | | | | | | | | | | | (2750) all_8_3 = all_8_6 % 52.36/8.60 | | | | | | | | | | | | % 52.36/8.60 | | | | | | | | | | | | REDUCE: (2652), (2750) imply: % 52.36/8.60 | | | | | | | | | | | | (2751) $false % 52.36/8.60 | | | | | | | | | | | | % 52.36/8.60 | | | | | | | | | | | | CLOSE: (2751) is inconsistent. % 52.36/8.60 | | | | | | | | | | | | % 52.36/8.60 | | | | | | | | | | | End of split % 52.36/8.60 | | | | | | | | | | | % 52.36/8.60 | | | | | | | | | | Case 2: % 52.36/8.60 | | | | | | | | | | | % 52.36/8.60 | | | | | | | | | | | (2752) all_356_0 = all_8_3 % 52.36/8.60 | | | | | | | | | | | (2753) ~ (all_356_1 = all_8_5) % 52.36/8.60 | | | | | | | | | | | % 52.36/8.60 | | | | | | | | | | | COMBINE_EQS: (2691), (2752) imply: % 52.36/8.60 | | | | | | | | | | | (2754) all_8_3 = all_8_5 % 52.36/8.60 | | | | | | | | | | | % 52.36/8.60 | | | | | | | | | | | SIMP: (2754) implies: % 52.36/8.60 | | | | | | | | | | | (2755) all_8_3 = all_8_5 % 52.36/8.60 | | | | | | | | | | | % 52.36/8.60 | | | | | | | | | | | COMBINE_EQS: (2690), (2755) imply: % 52.36/8.60 | | | | | | | | | | | (2756) all_356_1 = all_8_5 % 52.36/8.60 | | | | | | | | | | | % 52.36/8.60 | | | | | | | | | | | REDUCE: (2753), (2756) imply: % 52.36/8.60 | | | | | | | | | | | (2757) $false % 52.36/8.60 | | | | | | | | | | | % 52.36/8.60 | | | | | | | | | | | CLOSE: (2757) is inconsistent. % 52.36/8.60 | | | | | | | | | | | % 52.36/8.60 | | | | | | | | | | End of split % 52.36/8.60 | | | | | | | | | | % 52.36/8.60 | | | | | | | | | End of split % 52.36/8.60 | | | | | | | | | % 52.36/8.60 | | | | | | | | Case 2: % 52.36/8.60 | | | | | | | | | % 52.36/8.60 | | | | | | | | | (2758) all_70_1 = 0 % 52.36/8.60 | | | | | | | | | (2759) all_70_0 = all_8_5 & all_8_0 = all_8_3 % 52.36/8.60 | | | | | | | | | % 52.36/8.60 | | | | | | | | | ALPHA: (2759) implies: % 52.36/8.60 | | | | | | | | | (2760) all_8_0 = all_8_3 % 52.36/8.60 | | | | | | | | | % 52.36/8.60 | | | | | | | | | COMBINE_EQS: (2071), (2760) imply: % 52.36/8.60 | | | | | | | | | (2761) all_8_3 = all_8_5 % 52.36/8.60 | | | | | | | | | % 52.36/8.60 | | | | | | | | | SIMP: (2761) implies: % 52.36/8.60 | | | | | | | | | (2762) all_8_3 = all_8_5 % 52.36/8.60 | | | | | | | | | % 52.36/8.60 | | | | | | | | | REDUCE: (2652), (2762) imply: % 52.36/8.60 | | | | | | | | | (2763) ~ (all_8_5 = all_8_6) % 52.36/8.60 | | | | | | | | | % 52.36/8.60 | | | | | | | | | REDUCE: (227), (2762) imply: % 52.36/8.60 | | | | | | | | | (2764) l(all_8_5, all_8_5) = all_88_1 % 52.36/8.60 | | | | | | | | | % 52.36/8.60 | | | | | | | | | REDUCE: (202), (2758), (2762) imply: % 52.36/8.60 | | | | | | | | | (2765) l(all_8_5, all_8_5) = 0 % 52.36/8.60 | | | | | | | | | % 52.36/8.60 | | | | | | | | | REDUCE: (27), (2762) imply: % 52.36/8.60 | | | | | | | | | (2766) product(all_8_5, all_8_6) = all_8_5 % 52.36/8.60 | | | | | | | | | % 52.36/8.60 | | | | | | | | | BETA: splitting (298) gives: % 52.36/8.60 | | | | | | | | | % 52.36/8.60 | | | | | | | | | Case 1: % 52.36/8.60 | | | | | | | | | | % 52.36/8.60 | | | | | | | | | | % 52.36/8.60 | | | | | | | | | | GROUND_INST: instantiating (5) with all_328_0, all_8_5, % 52.36/8.60 | | | | | | | | | | simplifying with (22), (2660), (2661) gives: % 52.36/8.60 | | | | | | | | | | (2767) product(all_328_0, all_8_5) = all_328_0 & % 52.36/8.60 | | | | | | | | | | product(all_8_5, all_328_0) = all_8_5 % 52.36/8.60 | | | | | | | | | | % 52.36/8.60 | | | | | | | | | | ALPHA: (2767) implies: % 52.36/8.60 | | | | | | | | | | (2768) product(all_8_5, all_328_0) = all_8_5 % 52.36/8.60 | | | | | | | | | | (2769) product(all_328_0, all_8_5) = all_328_0 % 52.36/8.60 | | | | | | | | | | % 52.36/8.60 | | | | | | | | | | GROUND_INST: instantiating (11) with all_8_6, all_328_0, % 52.36/8.60 | | | | | | | | | | simplifying with (21), (2660), (2662) gives: % 52.36/8.61 | | | | | | | | | | (2770) product(all_328_0, all_8_6) = all_8_6 & % 52.36/8.61 | | | | | | | | | | product(all_8_6, all_328_0) = all_328_0 % 52.36/8.61 | | | | | | | | | | % 52.36/8.61 | | | | | | | | | | ALPHA: (2770) implies: % 52.36/8.61 | | | | | | | | | | (2771) product(all_328_0, all_8_6) = all_8_6 % 52.36/8.61 | | | | | | | | | | % 52.36/8.61 | | | | | | | | | | GROUND_INST: instantiating (3) with all_8_5, all_328_0, % 52.36/8.61 | | | | | | | | | | simplifying with (22), (2660), (2768) gives: % 52.36/8.61 | | | | | | | | | | (2772) ? [v0: $i] : ? [v1: any] : (l(all_8_5, % 52.36/8.61 | | | | | | | | | | all_328_0) = v1 & product(all_328_0, all_8_5) % 52.36/8.61 | | | | | | | | | | = v0 & $i(v0) & ( ~ (v0 = all_328_0) | v1 = 0)) % 52.36/8.61 | | | | | | | | | | % 52.36/8.61 | | | | | | | | | | GROUND_INST: instantiating (13) with all_328_0, all_8_5, % 52.36/8.61 | | | | | | | | | | all_8_5, simplifying with (22), (2660), (2768) % 52.36/8.61 | | | | | | | | | | gives: % 52.36/8.61 | | | | | | | | | | (2773) ? [v0: any] : ? [v1: $i] : (r(all_328_0, % 52.36/8.61 | | | | | | | | | | all_8_5) = v0 & product(all_328_0, all_8_5) = % 52.36/8.61 | | | | | | | | | | v1 & $i(v1) & ( ~ (v0 = 0) | (v1 = all_8_5 & % 52.36/8.61 | | | | | | | | | | all_328_0 = all_8_5))) % 52.36/8.61 | | | | | | | | | | % 52.36/8.61 | | | | | | | | | | GROUND_INST: instantiating (12) with all_8_5, all_328_0, % 52.36/8.61 | | | | | | | | | | all_8_5, simplifying with (22), (2660), (2768) % 52.36/8.61 | | | | | | | | | | gives: % 52.36/8.61 | | | | | | | | | | (2774) ? [v0: any] : ? [v1: $i] : (r(all_8_5, % 52.36/8.61 | | | | | | | | | | all_328_0) = v0 & product(all_328_0, all_8_5) % 52.36/8.61 | | | | | | | | | | = v1 & $i(v1) & ( ~ (v0 = 0) | (v1 = all_8_5 & % 52.36/8.61 | | | | | | | | | | all_328_0 = all_8_5))) % 52.36/8.61 | | | | | | | | | | % 52.36/8.61 | | | | | | | | | | GROUND_INST: instantiating (6) with all_8_5, all_328_0, % 52.36/8.61 | | | | | | | | | | all_8_5, simplifying with (22), (2660), (2768) % 52.36/8.61 | | | | | | | | | | gives: % 52.36/8.61 | | | | | | | | | | (2775) ? [v0: any] : ? [v1: $i] : (l(all_8_5, % 52.36/8.61 | | | | | | | | | | all_328_0) = v0 & product(all_328_0, all_8_5) % 52.36/8.61 | | | | | | | | | | = v1 & $i(v1) & ( ~ (v0 = 0) | v1 = all_328_0)) % 52.36/8.61 | | | | | | | | | | % 52.36/8.61 | | | | | | | | | | GROUND_INST: instantiating (2) with all_8_5, all_8_6, % 52.36/8.61 | | | | | | | | | | all_328_0, all_8_6, all_8_5, simplifying with % 52.36/8.61 | | | | | | | | | | (21), (22), (2640), (2660), (2771) gives: % 52.36/8.61 | | | | | | | | | | (2776) ? [v0: $i] : (product(all_328_0, v0) = all_8_5 & % 52.36/8.61 | | | | | | | | | | product(all_8_6, all_8_5) = v0 & $i(v0)) % 52.36/8.61 | | | | | | | | | | % 52.36/8.61 | | | | | | | | | | GROUND_INST: instantiating (1) with all_8_6, all_8_5, % 52.36/8.61 | | | | | | | | | | all_328_0, all_8_5, all_328_0, simplifying with % 52.36/8.61 | | | | | | | | | | (21), (22), (2660), (2766), (2769) gives: % 52.36/8.61 | | | | | | | | | | (2777) ? [v0: $i] : (product(v0, all_8_6) = all_328_0 & % 52.36/8.61 | | | | | | | | | | product(all_328_0, all_8_5) = v0 & $i(v0)) % 52.36/8.61 | | | | | | | | | | % 52.36/8.61 | | | | | | | | | | GROUND_INST: instantiating (2) with all_8_6, all_8_5, % 52.36/8.61 | | | | | | | | | | all_328_0, all_328_0, all_8_6, simplifying with % 52.36/8.61 | | | | | | | | | | (21), (22), (2660), (2769), (2771) gives: % 52.36/8.61 | | | | | | | | | | (2778) ? [v0: $i] : (product(all_328_0, v0) = all_8_6 & % 52.36/8.61 | | | | | | | | | | product(all_8_5, all_8_6) = v0 & $i(v0)) % 52.36/8.61 | | | | | | | | | | % 52.36/8.61 | | | | | | | | | | GROUND_INST: instantiating (1) with all_328_0, all_8_5, % 52.36/8.61 | | | | | | | | | | all_328_0, all_8_5, all_328_0, simplifying with % 52.36/8.61 | | | | | | | | | | (22), (2660), (2768), (2769) gives: % 52.36/8.61 | | | | | | | | | | (2779) ? [v0: $i] : (product(v0, all_328_0) = all_328_0 % 52.36/8.61 | | | | | | | | | | & product(all_328_0, all_8_5) = v0 & $i(v0)) % 52.36/8.61 | | | | | | | | | | % 52.36/8.61 | | | | | | | | | | DELTA: instantiating (2779) with fresh symbol all_371_0 % 52.36/8.61 | | | | | | | | | | gives: % 52.36/8.61 | | | | | | | | | | (2780) product(all_371_0, all_328_0) = all_328_0 & % 52.36/8.61 | | | | | | | | | | product(all_328_0, all_8_5) = all_371_0 & % 52.36/8.61 | | | | | | | | | | $i(all_371_0) % 52.36/8.61 | | | | | | | | | | % 52.36/8.61 | | | | | | | | | | ALPHA: (2780) implies: % 52.36/8.61 | | | | | | | | | | (2781) product(all_328_0, all_8_5) = all_371_0 % 52.36/8.61 | | | | | | | | | | % 52.36/8.61 | | | | | | | | | | DELTA: instantiating (2777) with fresh symbol all_375_0 % 52.36/8.61 | | | | | | | | | | gives: % 52.36/8.61 | | | | | | | | | | (2782) product(all_375_0, all_8_6) = all_328_0 & % 52.36/8.61 | | | | | | | | | | product(all_328_0, all_8_5) = all_375_0 & % 52.36/8.61 | | | | | | | | | | $i(all_375_0) % 52.36/8.61 | | | | | | | | | | % 52.36/8.61 | | | | | | | | | | ALPHA: (2782) implies: % 52.36/8.61 | | | | | | | | | | (2783) product(all_328_0, all_8_5) = all_375_0 % 52.36/8.61 | | | | | | | | | | % 52.36/8.61 | | | | | | | | | | DELTA: instantiating (2778) with fresh symbol all_377_0 % 52.36/8.61 | | | | | | | | | | gives: % 52.36/8.61 | | | | | | | | | | (2784) product(all_328_0, all_377_0) = all_8_6 & % 52.36/8.61 | | | | | | | | | | product(all_8_5, all_8_6) = all_377_0 & % 52.36/8.61 | | | | | | | | | | $i(all_377_0) % 52.36/8.61 | | | | | | | | | | % 52.36/8.61 | | | | | | | | | | ALPHA: (2784) implies: % 52.36/8.61 | | | | | | | | | | (2785) product(all_8_5, all_8_6) = all_377_0 % 52.36/8.61 | | | | | | | | | | (2786) product(all_328_0, all_377_0) = all_8_6 % 52.36/8.61 | | | | | | | | | | % 52.36/8.61 | | | | | | | | | | DELTA: instantiating (2776) with fresh symbol all_383_0 % 52.36/8.61 | | | | | | | | | | gives: % 52.36/8.61 | | | | | | | | | | (2787) product(all_328_0, all_383_0) = all_8_5 & % 52.36/8.61 | | | | | | | | | | product(all_8_6, all_8_5) = all_383_0 & % 52.36/8.61 | | | | | | | | | | $i(all_383_0) % 52.36/8.61 | | | | | | | | | | % 52.36/8.61 | | | | | | | | | | ALPHA: (2787) implies: % 52.36/8.61 | | | | | | | | | | (2788) product(all_8_6, all_8_5) = all_383_0 % 52.36/8.61 | | | | | | | | | | (2789) product(all_328_0, all_383_0) = all_8_5 % 52.36/8.61 | | | | | | | | | | % 52.36/8.61 | | | | | | | | | | DELTA: instantiating (2772) with fresh symbols all_387_0, % 52.36/8.61 | | | | | | | | | | all_387_1 gives: % 52.36/8.61 | | | | | | | | | | (2790) l(all_8_5, all_328_0) = all_387_0 & % 52.36/8.61 | | | | | | | | | | product(all_328_0, all_8_5) = all_387_1 & % 52.36/8.61 | | | | | | | | | | $i(all_387_1) & ( ~ (all_387_1 = all_328_0) | % 52.36/8.61 | | | | | | | | | | all_387_0 = 0) % 52.36/8.61 | | | | | | | | | | % 52.36/8.61 | | | | | | | | | | ALPHA: (2790) implies: % 52.36/8.61 | | | | | | | | | | (2791) product(all_328_0, all_8_5) = all_387_1 % 52.36/8.61 | | | | | | | | | | % 52.36/8.61 | | | | | | | | | | DELTA: instantiating (2775) with fresh symbols all_401_0, % 52.36/8.61 | | | | | | | | | | all_401_1 gives: % 52.36/8.61 | | | | | | | | | | (2792) l(all_8_5, all_328_0) = all_401_1 & % 52.36/8.61 | | | | | | | | | | product(all_328_0, all_8_5) = all_401_0 & % 52.36/8.61 | | | | | | | | | | $i(all_401_0) & ( ~ (all_401_1 = 0) | all_401_0 = % 52.36/8.61 | | | | | | | | | | all_328_0) % 52.36/8.61 | | | | | | | | | | % 52.36/8.61 | | | | | | | | | | ALPHA: (2792) implies: % 52.36/8.61 | | | | | | | | | | (2793) product(all_328_0, all_8_5) = all_401_0 % 52.36/8.61 | | | | | | | | | | % 52.36/8.61 | | | | | | | | | | DELTA: instantiating (2774) with fresh symbols all_405_0, % 52.36/8.61 | | | | | | | | | | all_405_1 gives: % 52.36/8.61 | | | | | | | | | | (2794) r(all_8_5, all_328_0) = all_405_1 & % 52.36/8.61 | | | | | | | | | | product(all_328_0, all_8_5) = all_405_0 & % 52.36/8.61 | | | | | | | | | | $i(all_405_0) & ( ~ (all_405_1 = 0) | (all_405_0 = % 52.36/8.61 | | | | | | | | | | all_8_5 & all_328_0 = all_8_5)) % 52.36/8.61 | | | | | | | | | | % 52.36/8.61 | | | | | | | | | | ALPHA: (2794) implies: % 52.36/8.61 | | | | | | | | | | (2795) product(all_328_0, all_8_5) = all_405_0 % 52.36/8.61 | | | | | | | | | | % 52.36/8.61 | | | | | | | | | | DELTA: instantiating (2773) with fresh symbols all_407_0, % 52.36/8.61 | | | | | | | | | | all_407_1 gives: % 52.36/8.61 | | | | | | | | | | (2796) r(all_328_0, all_8_5) = all_407_1 & % 52.36/8.61 | | | | | | | | | | product(all_328_0, all_8_5) = all_407_0 & % 52.36/8.61 | | | | | | | | | | $i(all_407_0) & ( ~ (all_407_1 = 0) | (all_407_0 = % 52.36/8.61 | | | | | | | | | | all_8_5 & all_328_0 = all_8_5)) % 52.36/8.61 | | | | | | | | | | % 52.36/8.61 | | | | | | | | | | ALPHA: (2796) implies: % 52.36/8.61 | | | | | | | | | | (2797) product(all_328_0, all_8_5) = all_407_0 % 52.36/8.61 | | | | | | | | | | % 52.36/8.61 | | | | | | | | | | GROUND_INST: instantiating (17) with all_8_5, all_383_0, % 52.36/8.61 | | | | | | | | | | all_8_5, all_8_6, simplifying with (2640), (2788) % 52.36/8.61 | | | | | | | | | | gives: % 52.36/8.61 | | | | | | | | | | (2798) all_383_0 = all_8_5 % 52.36/8.61 | | | | | | | | | | % 52.36/8.61 | | | | | | | | | | GROUND_INST: instantiating (17) with all_8_5, all_377_0, % 52.36/8.61 | | | | | | | | | | all_8_6, all_8_5, simplifying with (2766), (2785) % 52.36/8.61 | | | | | | | | | | gives: % 52.36/8.61 | | | | | | | | | | (2799) all_377_0 = all_8_5 % 52.36/8.61 | | | | | | | | | | % 52.36/8.61 | | | | | | | | | | GROUND_INST: instantiating (17) with all_328_0, all_375_0, % 52.36/8.61 | | | | | | | | | | all_8_5, all_328_0, simplifying with (2769), % 52.36/8.61 | | | | | | | | | | (2783) gives: % 52.36/8.61 | | | | | | | | | | (2800) all_375_0 = all_328_0 % 52.36/8.61 | | | | | | | | | | % 52.36/8.61 | | | | | | | | | | GROUND_INST: instantiating (17) with all_375_0, all_387_1, % 52.36/8.61 | | | | | | | | | | all_8_5, all_328_0, simplifying with (2783), % 52.36/8.61 | | | | | | | | | | (2791) gives: % 52.36/8.61 | | | | | | | | | | (2801) all_387_1 = all_375_0 % 52.36/8.61 | | | | | | | | | | % 52.36/8.61 | | | | | | | | | | GROUND_INST: instantiating (17) with all_371_0, all_405_0, % 52.36/8.61 | | | | | | | | | | all_8_5, all_328_0, simplifying with (2781), % 52.36/8.61 | | | | | | | | | | (2795) gives: % 52.36/8.61 | | | | | | | | | | (2802) all_405_0 = all_371_0 % 52.36/8.61 | | | | | | | | | | % 52.36/8.61 | | | | | | | | | | GROUND_INST: instantiating (17) with all_405_0, all_407_0, % 52.36/8.61 | | | | | | | | | | all_8_5, all_328_0, simplifying with (2795), % 52.36/8.61 | | | | | | | | | | (2797) gives: % 52.36/8.61 | | | | | | | | | | (2803) all_407_0 = all_405_0 % 52.36/8.61 | | | | | | | | | | % 52.36/8.61 | | | | | | | | | | GROUND_INST: instantiating (17) with all_401_0, all_407_0, % 52.36/8.61 | | | | | | | | | | all_8_5, all_328_0, simplifying with (2793), % 52.36/8.61 | | | | | | | | | | (2797) gives: % 52.36/8.61 | | | | | | | | | | (2804) all_407_0 = all_401_0 % 52.36/8.61 | | | | | | | | | | % 52.36/8.61 | | | | | | | | | | GROUND_INST: instantiating (17) with all_387_1, all_407_0, % 52.36/8.61 | | | | | | | | | | all_8_5, all_328_0, simplifying with (2791), % 52.36/8.61 | | | | | | | | | | (2797) gives: % 52.36/8.61 | | | | | | | | | | (2805) all_407_0 = all_387_1 % 52.36/8.61 | | | | | | | | | | % 52.36/8.61 | | | | | | | | | | COMBINE_EQS: (2803), (2804) imply: % 52.36/8.61 | | | | | | | | | | (2806) all_405_0 = all_401_0 % 52.36/8.61 | | | | | | | | | | % 52.36/8.61 | | | | | | | | | | SIMP: (2806) implies: % 52.36/8.61 | | | | | | | | | | (2807) all_405_0 = all_401_0 % 52.36/8.61 | | | | | | | | | | % 52.36/8.61 | | | | | | | | | | COMBINE_EQS: (2804), (2805) imply: % 52.36/8.61 | | | | | | | | | | (2808) all_401_0 = all_387_1 % 52.36/8.61 | | | | | | | | | | % 52.36/8.61 | | | | | | | | | | COMBINE_EQS: (2802), (2807) imply: % 52.36/8.61 | | | | | | | | | | (2809) all_401_0 = all_371_0 % 52.36/8.61 | | | | | | | | | | % 52.36/8.61 | | | | | | | | | | SIMP: (2809) implies: % 52.36/8.61 | | | | | | | | | | (2810) all_401_0 = all_371_0 % 52.36/8.61 | | | | | | | | | | % 52.36/8.61 | | | | | | | | | | COMBINE_EQS: (2808), (2810) imply: % 52.36/8.61 | | | | | | | | | | (2811) all_387_1 = all_371_0 % 52.36/8.61 | | | | | | | | | | % 52.36/8.61 | | | | | | | | | | SIMP: (2811) implies: % 52.36/8.61 | | | | | | | | | | (2812) all_387_1 = all_371_0 % 52.36/8.61 | | | | | | | | | | % 52.36/8.61 | | | | | | | | | | COMBINE_EQS: (2801), (2812) imply: % 52.36/8.61 | | | | | | | | | | (2813) all_375_0 = all_371_0 % 52.36/8.61 | | | | | | | | | | % 52.36/8.61 | | | | | | | | | | SIMP: (2813) implies: % 52.36/8.61 | | | | | | | | | | (2814) all_375_0 = all_371_0 % 52.36/8.61 | | | | | | | | | | % 52.36/8.61 | | | | | | | | | | COMBINE_EQS: (2800), (2814) imply: % 52.36/8.61 | | | | | | | | | | (2815) all_371_0 = all_328_0 % 52.36/8.61 | | | | | | | | | | % 52.36/8.61 | | | | | | | | | | REDUCE: (2789), (2798) imply: % 52.36/8.61 | | | | | | | | | | (2816) product(all_328_0, all_8_5) = all_8_5 % 52.36/8.61 | | | | | | | | | | % 52.36/8.61 | | | | | | | | | | REDUCE: (2786), (2799) imply: % 52.36/8.61 | | | | | | | | | | (2817) product(all_328_0, all_8_5) = all_8_6 % 52.36/8.61 | | | | | | | | | | % 52.36/8.61 | | | | | | | | | | GROUND_INST: instantiating (17) with all_328_0, all_8_6, % 52.36/8.61 | | | | | | | | | | all_8_5, all_328_0, simplifying with (2769), % 52.36/8.61 | | | | | | | | | | (2817) gives: % 52.36/8.61 | | | | | | | | | | (2818) all_328_0 = all_8_6 % 52.36/8.61 | | | | | | | | | | % 52.36/8.61 | | | | | | | | | | GROUND_INST: instantiating (17) with all_328_0, all_8_5, % 52.36/8.61 | | | | | | | | | | all_8_5, all_328_0, simplifying with (2769), % 52.36/8.61 | | | | | | | | | | (2816) gives: % 52.36/8.61 | | | | | | | | | | (2819) all_328_0 = all_8_5 % 52.36/8.61 | | | | | | | | | | % 52.36/8.61 | | | | | | | | | | COMBINE_EQS: (2818), (2819) imply: % 52.36/8.61 | | | | | | | | | | (2820) all_8_5 = all_8_6 % 52.36/8.61 | | | | | | | | | | % 52.36/8.61 | | | | | | | | | | SIMP: (2820) implies: % 52.36/8.61 | | | | | | | | | | (2821) all_8_5 = all_8_6 % 52.36/8.61 | | | | | | | | | | % 52.36/8.61 | | | | | | | | | | REDUCE: (2763), (2821) imply: % 52.36/8.61 | | | | | | | | | | (2822) $false % 52.36/8.61 | | | | | | | | | | % 52.36/8.61 | | | | | | | | | | CLOSE: (2822) is inconsistent. % 52.36/8.61 | | | | | | | | | | % 52.36/8.61 | | | | | | | | | Case 2: % 52.36/8.61 | | | | | | | | | | % 52.36/8.61 | | | | | | | | | | (2823) ~ (all_88_1 = 0) % 52.36/8.61 | | | | | | | | | | % 52.36/8.61 | | | | | | | | | | GROUND_INST: instantiating (18) with 0, all_88_1, all_8_5, % 52.36/8.61 | | | | | | | | | | all_8_5, simplifying with (2764), (2765) gives: % 52.36/8.61 | | | | | | | | | | (2824) all_88_1 = 0 % 52.36/8.61 | | | | | | | | | | % 52.36/8.61 | | | | | | | | | | REDUCE: (2823), (2824) imply: % 52.36/8.61 | | | | | | | | | | (2825) $false % 52.36/8.61 | | | | | | | | | | % 52.36/8.61 | | | | | | | | | | CLOSE: (2825) is inconsistent. % 52.36/8.61 | | | | | | | | | | % 52.36/8.61 | | | | | | | | | End of split % 52.36/8.61 | | | | | | | | | % 52.36/8.62 | | | | | | | | End of split % 52.36/8.62 | | | | | | | | % 52.36/8.62 | | | | | | | End of split % 52.36/8.62 | | | | | | | % 52.36/8.62 | | | | | | End of split % 52.36/8.62 | | | | | | % 52.36/8.62 | | | | | Case 2: % 52.36/8.62 | | | | | | % 52.36/8.62 | | | | | | (2826) all_23_0 = all_8_5 & all_8_3 = all_8_6 % 52.36/8.62 | | | | | | % 52.36/8.62 | | | | | | ALPHA: (2826) implies: % 52.36/8.62 | | | | | | (2827) all_8_3 = all_8_6 % 52.36/8.62 | | | | | | % 52.36/8.62 | | | | | | REDUCE: (26), (2827) imply: % 52.36/8.62 | | | | | | (2828) product(all_8_6, all_8_6) = all_8_2 % 52.36/8.62 | | | | | | % 52.36/8.62 | | | | | | REF_CLOSE: (17), (374), (2077), (2828) are inconsistent by sub-proof % 52.36/8.62 | | | | | | #2. % 52.36/8.62 | | | | | | % 52.36/8.62 | | | | | End of split % 52.36/8.62 | | | | | % 52.36/8.62 | | | | Case 2: % 52.36/8.62 | | | | | % 52.36/8.62 | | | | | (2829) all_21_0 = all_8_6 & all_8_3 = all_8_5 % 52.36/8.62 | | | | | % 52.36/8.62 | | | | | ALPHA: (2829) implies: % 52.36/8.62 | | | | | (2830) all_21_0 = all_8_6 % 52.36/8.62 | | | | | % 52.36/8.62 | | | | | COMBINE_EQS: (154), (2830) imply: % 52.36/8.62 | | | | | (2831) all_8_1 = all_8_6 % 52.36/8.62 | | | | | % 52.36/8.62 | | | | | REDUCE: (157), (2831) imply: % 52.36/8.62 | | | | | (2832) product(all_8_6, all_8_6) = all_8_2 % 52.36/8.62 | | | | | % 52.36/8.62 | | | | | REF_CLOSE: (17), (374), (2077), (2832) are inconsistent by sub-proof % 52.36/8.62 | | | | | #2. % 52.36/8.62 | | | | | % 52.36/8.62 | | | | End of split % 52.36/8.62 | | | | % 52.36/8.62 | | | End of split % 52.36/8.62 | | | % 52.36/8.62 | | End of split % 52.36/8.62 | | % 52.36/8.62 | End of split % 52.36/8.62 | % 52.36/8.62 End of proof % 52.36/8.62 % 52.36/8.62 Sub-proof #1 shows that the following formulas are inconsistent: % 52.36/8.62 ---------------------------------------------------------------- % 52.36/8.62 (1) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 52.36/8.62 (product(v3, v2) = v1) | ~ (product(v3, v2) = v0)) % 52.36/8.62 (2) product(all_8_5, all_8_5) = all_8_0 % 52.36/8.62 (3) product(all_8_5, all_8_5) = all_8_5 % 52.36/8.62 (4) ~ (all_8_0 = all_8_5) % 52.36/8.62 % 52.36/8.62 Begin of proof % 52.36/8.62 | % 52.36/8.62 | GROUND_INST: instantiating (1) with all_8_5, all_8_0, all_8_5, all_8_5, % 52.36/8.62 | simplifying with (2), (3) gives: % 52.36/8.62 | (5) all_8_0 = all_8_5 % 52.36/8.62 | % 52.36/8.62 | REDUCE: (4), (5) imply: % 52.36/8.62 | (6) $false % 52.36/8.62 | % 52.36/8.62 | CLOSE: (6) is inconsistent. % 52.36/8.62 | % 52.36/8.62 End of proof % 52.36/8.62 % 52.36/8.62 Sub-proof #2 shows that the following formulas are inconsistent: % 52.36/8.62 ---------------------------------------------------------------- % 52.36/8.62 (1) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 52.36/8.62 (product(v3, v2) = v1) | ~ (product(v3, v2) = v0)) % 52.36/8.62 (2) product(all_8_6, all_8_6) = all_8_2 % 52.36/8.62 (3) product(all_8_6, all_8_6) = all_8_6 % 52.36/8.62 (4) ~ (all_8_2 = all_8_6) % 52.36/8.62 % 52.36/8.62 Begin of proof % 52.36/8.62 | % 52.36/8.62 | GROUND_INST: instantiating (1) with all_8_6, all_8_2, all_8_6, all_8_6, % 52.36/8.62 | simplifying with (2), (3) gives: % 52.36/8.62 | (5) all_8_2 = all_8_6 % 52.36/8.62 | % 52.36/8.62 | REDUCE: (4), (5) imply: % 52.36/8.62 | (6) $false % 52.36/8.62 | % 52.36/8.62 | CLOSE: (6) is inconsistent. % 52.36/8.62 | % 52.36/8.62 End of proof % 52.36/8.62 % 52.36/8.62 Sub-proof #3 shows that the following formulas are inconsistent: % 52.36/8.62 ---------------------------------------------------------------- % 52.36/8.62 (1) product(all_8_0, all_410_0) = all_8_0 % 52.36/8.62 (2) ~ (all_8_0 = all_8_5) % 52.36/8.62 (3) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 52.36/8.62 (product(v3, v2) = v1) | ~ (product(v3, v2) = v0)) % 52.36/8.62 (4) all_8_0 = all_8_3 % 52.36/8.62 (5) product(all_8_3, all_410_0) = all_8_5 % 52.36/8.62 % 52.36/8.62 Begin of proof % 52.36/8.62 | % 52.36/8.62 | REDUCE: (2), (4) imply: % 52.36/8.62 | (6) ~ (all_8_3 = all_8_5) % 52.36/8.62 | % 52.36/8.62 | REDUCE: (1), (4) imply: % 52.36/8.62 | (7) product(all_8_3, all_410_0) = all_8_3 % 52.36/8.62 | % 52.36/8.62 | GROUND_INST: instantiating (3) with all_8_5, all_8_3, all_410_0, all_8_3, % 52.36/8.62 | simplifying with (5), (7) gives: % 52.36/8.62 | (8) all_8_3 = all_8_5 % 52.36/8.62 | % 52.36/8.62 | REDUCE: (6), (8) imply: % 52.36/8.62 | (9) $false % 52.36/8.62 | % 52.36/8.62 | CLOSE: (9) is inconsistent. % 52.36/8.62 | % 52.36/8.62 End of proof % 52.36/8.62 % 52.36/8.62 Sub-proof #4 shows that the following formulas are inconsistent: % 52.36/8.62 ---------------------------------------------------------------- % 52.36/8.62 (1) product(all_410_0, all_8_2) = all_8_2 % 52.36/8.62 (2) product(all_410_0, all_8_3) = all_8_6 % 52.36/8.62 (3) all_8_2 = all_8_3 % 52.36/8.62 (4) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 52.36/8.62 (product(v3, v2) = v1) | ~ (product(v3, v2) = v0)) % 52.36/8.62 (5) ~ (all_8_2 = all_8_6) % 52.36/8.62 % 52.36/8.62 Begin of proof % 52.36/8.62 | % 52.36/8.62 | REDUCE: (3), (5) imply: % 52.36/8.62 | (6) ~ (all_8_3 = all_8_6) % 52.36/8.62 | % 52.36/8.62 | REDUCE: (1), (3) imply: % 52.36/8.62 | (7) product(all_410_0, all_8_3) = all_8_3 % 52.36/8.62 | % 52.36/8.62 | GROUND_INST: instantiating (4) with all_8_6, all_8_3, all_8_3, all_410_0, % 52.36/8.62 | simplifying with (2), (7) gives: % 52.36/8.62 | (8) all_8_3 = all_8_6 % 52.36/8.62 | % 52.36/8.62 | REDUCE: (6), (8) imply: % 52.36/8.62 | (9) $false % 52.36/8.62 | % 52.36/8.62 | CLOSE: (9) is inconsistent. % 52.36/8.62 | % 52.36/8.62 End of proof % 52.36/8.62 % 52.36/8.62 Sub-proof #5 shows that the following formulas are inconsistent: % 52.36/8.62 ---------------------------------------------------------------- % 52.36/8.62 (1) r(all_8_6, all_8_6) = 0 % 52.36/8.62 (2) d(all_8_6, all_8_5) = all_8_4 % 52.36/8.62 (3) $i(all_8_6) % 52.36/8.62 (4) l(all_8_6, all_8_5) = 0 % 52.36/8.62 (5) ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : % 52.36/8.62 ! [v3: $i] : (v1 = v0 | ~ (l(v3, v2) = v1) | ~ (l(v3, v2) = v0)) % 52.36/8.62 (6) $i(all_8_5) % 52.36/8.62 (7) ~ (all_8_4 = 0) % 52.36/8.62 (8) ! [v0: $i] : ! [v1: $i] : ! [v2: int] : ! [v3: $i] : (v2 = 0 | ~ % 52.36/8.62 (d(v0, v1) = v2) | ~ (r(v0, v3) = 0) | ~ $i(v3) | ~ $i(v1) | ~ % 52.36/8.62 $i(v0) | ? [v4: int] : ( ~ (v4 = 0) & l(v3, v1) = v4)) % 52.36/8.62 % 52.36/8.62 Begin of proof % 52.36/8.62 | % 52.36/8.62 | GROUND_INST: instantiating (8) with all_8_6, all_8_5, all_8_4, all_8_6, % 52.36/8.62 | simplifying with (1), (2), (3), (6) gives: % 52.36/8.62 | (9) all_8_4 = 0 | ? [v0: int] : ( ~ (v0 = 0) & l(all_8_6, all_8_5) = v0) % 52.36/8.62 | % 52.36/8.62 | BETA: splitting (9) gives: % 52.36/8.62 | % 52.36/8.62 | Case 1: % 52.36/8.62 | | % 52.36/8.62 | | (10) all_8_4 = 0 % 52.36/8.62 | | % 52.36/8.62 | | REDUCE: (7), (10) imply: % 52.36/8.62 | | (11) $false % 52.36/8.62 | | % 52.36/8.62 | | CLOSE: (11) is inconsistent. % 52.36/8.62 | | % 52.36/8.62 | Case 2: % 52.36/8.62 | | % 52.36/8.62 | | (12) ? [v0: int] : ( ~ (v0 = 0) & l(all_8_6, all_8_5) = v0) % 52.36/8.62 | | % 52.36/8.62 | | DELTA: instantiating (12) with fresh symbol all_342_0 gives: % 52.36/8.62 | | (13) ~ (all_342_0 = 0) & l(all_8_6, all_8_5) = all_342_0 % 52.36/8.62 | | % 52.36/8.62 | | ALPHA: (13) implies: % 52.36/8.62 | | (14) ~ (all_342_0 = 0) % 52.36/8.62 | | (15) l(all_8_6, all_8_5) = all_342_0 % 52.36/8.62 | | % 52.36/8.62 | | GROUND_INST: instantiating (5) with 0, all_342_0, all_8_5, all_8_6, % 52.36/8.62 | | simplifying with (4), (15) gives: % 52.36/8.62 | | (16) all_342_0 = 0 % 52.36/8.62 | | % 52.36/8.62 | | REDUCE: (14), (16) imply: % 52.36/8.62 | | (17) $false % 52.36/8.62 | | % 52.36/8.62 | | CLOSE: (17) is inconsistent. % 52.36/8.62 | | % 52.36/8.62 | End of split % 52.36/8.62 | % 52.36/8.62 End of proof % 52.36/8.62 % SZS output end Proof for theBenchmark % 52.36/8.62 % 52.36/8.62 8027ms %------------------------------------------------------------------------------