%------------------------------------------------------------------------------ % File : Princess---230619 % Problem : KLE159+1 : TPTP v8.1.2. Released v4.0.0. % Transfm : none % Format : tptp % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s % Computer : n020.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 05:34:44 EDT 2023 % Result : Theorem 20.53s 3.50s % Output : Proof 76.49s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.11/0.12 % Problem : KLE159+1 : TPTP v8.1.2. Released v4.0.0. % 0.12/0.13 % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s % 0.14/0.34 % Computer : n020.cluster.edu % 0.14/0.34 % Model : x86_64 x86_64 % 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.14/0.34 % Memory : 8042.1875MB % 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.14/0.34 % CPULimit : 300 % 0.14/0.34 % WCLimit : 300 % 0.14/0.34 % DateTime : Tue Aug 29 12:09:28 EDT 2023 % 0.14/0.34 % CPUTime : % 0.20/0.61 ________ _____ % 0.20/0.61 ___ __ \_________(_)________________________________ % 0.20/0.61 __ /_/ /_ ___/_ /__ __ \ ___/ _ \_ ___/_ ___/ % 0.20/0.61 _ ____/_ / _ / _ / / / /__ / __/(__ )_(__ ) % 0.20/0.61 /_/ /_/ /_/ /_/ /_/\___/ \___//____/ /____/ % 0.20/0.61 % 0.20/0.61 A Theorem Prover for First-Order Logic modulo Linear Integer Arithmetic % 0.20/0.61 (2023-06-19) % 0.20/0.61 % 0.20/0.61 (c) Philipp Rümmer, 2009-2023 % 0.20/0.61 Contributors: Peter Backeman, Peter Baumgartner, Angelo Brillout, Zafer Esen, % 0.20/0.61 Amanda Stjerna. % 0.20/0.61 Free software under BSD-3-Clause. % 0.20/0.61 % 0.20/0.61 For more information, visit http://www.philipp.ruemmer.org/princess.shtml % 0.20/0.61 % 0.20/0.61 Loading /export/starexec/sandbox/benchmark/theBenchmark.p ... % 0.20/0.62 Running up to 7 provers in parallel. % 0.20/0.64 Prover 3: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996 % 0.20/0.64 Prover 0: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893 % 0.20/0.64 Prover 2: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1065072994 % 0.20/0.64 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1571432423 % 0.20/0.64 Prover 5: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288 % 0.20/0.64 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696 % 0.20/0.64 Prover 6: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365 % 2.38/1.03 Prover 1: Preprocessing ... % 2.38/1.03 Prover 4: Preprocessing ... % 2.81/1.06 Prover 0: Preprocessing ... % 2.81/1.06 Prover 5: Preprocessing ... % 2.81/1.06 Prover 2: Preprocessing ... % 2.81/1.06 Prover 6: Preprocessing ... % 2.81/1.07 Prover 3: Preprocessing ... % 4.80/1.35 Prover 6: Constructing countermodel ... % 4.80/1.35 Prover 3: Constructing countermodel ... % 4.80/1.36 Prover 1: Constructing countermodel ... % 4.80/1.40 Prover 5: Proving ... % 5.32/1.45 Prover 0: Proving ... % 5.32/1.46 Prover 4: Constructing countermodel ... % 5.32/1.47 Prover 2: Proving ... % 9.23/1.93 Prover 3: gave up % 9.23/1.94 Prover 7: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470 % 9.46/1.99 Prover 7: Preprocessing ... % 10.30/2.07 Prover 7: Constructing countermodel ... % 10.30/2.13 Prover 1: gave up % 10.30/2.14 Prover 8: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089 % 10.30/2.17 Prover 8: Preprocessing ... % 11.25/2.24 Prover 8: Warning: ignoring some quantifiers % 11.57/2.24 Prover 8: Constructing countermodel ... % 13.95/2.57 Prover 8: gave up % 13.95/2.59 Prover 9: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allMinimal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1423531889 % 13.95/2.60 Prover 9: Preprocessing ... % 14.79/2.66 Prover 9: Constructing countermodel ... % 17.52/3.10 Prover 6: gave up % 17.52/3.10 Prover 10: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=919308125 % 18.23/3.14 Prover 10: Preprocessing ... % 18.94/3.23 Prover 10: Constructing countermodel ... % 18.94/3.24 Prover 10: gave up % 18.94/3.25 Prover 11: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1509710984 % 18.94/3.26 Prover 11: Preprocessing ... % 19.82/3.34 Prover 11: Constructing countermodel ... % 20.53/3.50 Prover 0: proved (2870ms) % 20.53/3.50 % 20.53/3.50 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p % 20.53/3.50 % 20.53/3.51 Prover 9: stopped % 20.53/3.51 Prover 5: stopped % 20.53/3.53 Prover 2: stopped % 20.53/3.53 Prover 13: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=1138197443 % 20.53/3.53 Prover 16: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=completeFrugal -randomSeed=-2043353683 % 20.53/3.53 Prover 19: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=-1780594085 % 20.53/3.54 Prover 13: Preprocessing ... % 21.47/3.55 Prover 16: Preprocessing ... % 21.47/3.56 Prover 19: Preprocessing ... % 21.47/3.59 Prover 16: Warning: ignoring some quantifiers % 21.47/3.59 Prover 16: Constructing countermodel ... % 21.47/3.59 Prover 13: Warning: ignoring some quantifiers % 21.47/3.59 Prover 13: Constructing countermodel ... % 21.47/3.61 Prover 19: Warning: ignoring some quantifiers % 21.47/3.61 Prover 19: Constructing countermodel ... % 21.47/3.62 Prover 13: gave up % 23.09/3.81 Prover 19: gave up % 74.23/11.22 Prover 11: Found proof (size 895) % 74.23/11.22 Prover 11: proved (7963ms) % 74.23/11.22 Prover 7: stopped % 74.23/11.22 Prover 16: stopped % 74.23/11.23 Prover 4: stopped % 74.23/11.23 % 74.23/11.23 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p % 74.23/11.23 % 74.93/11.51 % SZS output start Proof for theBenchmark % 74.93/11.51 Assumptions after simplification: % 74.93/11.51 --------------------------------- % 74.93/11.51 % 74.93/11.51 (additive_associativity) % 74.93/11.55 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ( ~ % 74.93/11.55 (addition(v3, v0) = v4) | ~ (addition(v2, v1) = v3) | ~ $i(v2) | ~ $i(v1) % 74.93/11.55 | ~ $i(v0) | ? [v5: $i] : (addition(v2, v5) = v4 & addition(v1, v0) = v5 & % 74.93/11.55 $i(v5) & $i(v4))) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] % 74.93/11.55 : ! [v4: $i] : ( ~ (addition(v2, v3) = v4) | ~ (addition(v1, v0) = v3) | ~ % 74.93/11.55 $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v5: $i] : (addition(v5, v0) = v4 & % 74.93/11.55 addition(v2, v1) = v5 & $i(v5) & $i(v4))) % 74.93/11.55 % 74.93/11.55 (additive_commutativity) % 74.93/11.55 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ (addition(v1, v0) = v2) | ~ % 74.93/11.55 $i(v1) | ~ $i(v0) | (addition(v0, v1) = v2 & $i(v2))) & ! [v0: $i] : ! % 74.93/11.55 [v1: $i] : ! [v2: $i] : ( ~ (addition(v0, v1) = v2) | ~ $i(v1) | ~ $i(v0) | % 74.93/11.55 (addition(v1, v0) = v2 & $i(v2))) % 74.93/11.55 % 74.93/11.55 (distributivity1) % 74.93/11.55 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: % 74.93/11.55 $i] : ( ~ (multiplication(v0, v2) = v4) | ~ (multiplication(v0, v1) = v3) | % 74.93/11.55 ~ (addition(v3, v4) = v5) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v6: $i] % 74.93/11.55 : (multiplication(v0, v6) = v5 & addition(v1, v2) = v6 & $i(v6) & $i(v5))) & % 74.93/11.55 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ( ~ % 74.93/11.55 (multiplication(v0, v3) = v4) | ~ (addition(v1, v2) = v3) | ~ $i(v2) | ~ % 74.93/11.55 $i(v1) | ~ $i(v0) | ? [v5: $i] : ? [v6: $i] : (multiplication(v0, v2) = % 74.93/11.55 v6 & multiplication(v0, v1) = v5 & addition(v5, v6) = v4 & $i(v6) & $i(v5) % 74.93/11.55 & $i(v4))) % 74.93/11.55 % 74.93/11.55 (distributivity2) % 74.93/11.56 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: % 74.93/11.56 $i] : ( ~ (multiplication(v1, v2) = v4) | ~ (multiplication(v0, v2) = v3) | % 74.93/11.56 ~ (addition(v3, v4) = v5) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v6: $i] % 74.93/11.56 : (multiplication(v6, v2) = v5 & addition(v0, v1) = v6 & $i(v6) & $i(v5))) & % 74.93/11.56 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ( ~ % 74.93/11.56 (multiplication(v3, v2) = v4) | ~ (addition(v0, v1) = v3) | ~ $i(v2) | ~ % 74.93/11.56 $i(v1) | ~ $i(v0) | ? [v5: $i] : ? [v6: $i] : (multiplication(v1, v2) = % 74.93/11.56 v6 & multiplication(v0, v2) = v5 & addition(v5, v6) = v4 & $i(v6) & $i(v5) % 74.93/11.56 & $i(v4))) % 74.93/11.56 % 74.93/11.56 (goals) % 74.93/11.56 ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] : ? [v5: % 74.93/11.56 $i] : ? [v6: $i] : ? [v7: $i] : ? [v8: $i] : ? [v9: int] : ( ~ (v9 = 0) % 74.93/11.56 & leq(v6, v8) = v9 & leq(v3, v4) = 0 & star(v2) = v7 & star(v1) = v5 & % 74.93/11.56 multiplication(v7, v0) = v8 & multiplication(v2, v0) = v4 & % 74.93/11.56 multiplication(v0, v5) = v6 & multiplication(v0, v1) = v3 & $i(v8) & $i(v7) % 74.93/11.56 & $i(v6) & $i(v5) & $i(v4) & $i(v3) & $i(v2) & $i(v1) & $i(v0)) % 74.93/11.56 % 74.93/11.56 (idempotence) % 74.93/11.57 ! [v0: $i] : ! [v1: $i] : (v1 = v0 | ~ (addition(v0, v0) = v1) | ~ $i(v0)) % 74.93/11.57 % 74.93/11.57 (infty_unfold1) % 74.93/11.57 $i(one) & ! [v0: $i] : ! [v1: $i] : ( ~ (strong_iteration(v0) = v1) | ~ % 74.93/11.57 $i(v0) | ? [v2: $i] : (multiplication(v0, v1) = v2 & addition(v2, one) = v1 % 74.93/11.57 & $i(v2) & $i(v1))) % 74.93/11.57 % 74.93/11.57 (isolation) % 74.93/11.57 $i(zero) & ! [v0: $i] : ! [v1: $i] : ( ~ (strong_iteration(v0) = v1) | ~ % 74.93/11.57 $i(v0) | ? [v2: $i] : ? [v3: $i] : (star(v0) = v2 & multiplication(v1, % 74.93/11.57 zero) = v3 & addition(v2, v3) = v1 & $i(v3) & $i(v2) & $i(v1))) & ! % 74.93/11.57 [v0: $i] : ! [v1: $i] : ( ~ (star(v0) = v1) | ~ $i(v0) | ? [v2: $i] : ? % 74.93/11.57 [v3: $i] : (strong_iteration(v0) = v2 & multiplication(v2, zero) = v3 & % 74.93/11.57 addition(v1, v3) = v2 & $i(v3) & $i(v2))) % 74.93/11.57 % 74.93/11.57 (multiplicative_associativity) % 74.93/11.58 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ( ~ % 74.93/11.58 (multiplication(v3, v2) = v4) | ~ (multiplication(v0, v1) = v3) | ~ $i(v2) % 74.93/11.58 | ~ $i(v1) | ~ $i(v0) | ? [v5: $i] : (multiplication(v1, v2) = v5 & % 74.93/11.58 multiplication(v0, v5) = v4 & $i(v5) & $i(v4))) & ! [v0: $i] : ! [v1: % 74.93/11.58 $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ( ~ (multiplication(v1, v2) % 74.93/11.58 = v3) | ~ (multiplication(v0, v3) = v4) | ~ $i(v2) | ~ $i(v1) | ~ % 74.93/11.58 $i(v0) | ? [v5: $i] : (multiplication(v5, v2) = v4 & multiplication(v0, v1) % 74.93/11.58 = v5 & $i(v5) & $i(v4))) % 74.93/11.58 % 74.93/11.58 (multiplicative_left_identity) % 74.93/11.58 $i(one) & ! [v0: $i] : ! [v1: $i] : (v1 = v0 | ~ (multiplication(one, v0) = % 74.93/11.58 v1) | ~ $i(v0)) % 74.93/11.58 % 74.93/11.58 (multiplicative_right_identity) % 74.93/11.58 $i(one) & ! [v0: $i] : ! [v1: $i] : (v1 = v0 | ~ (multiplication(v0, one) = % 74.93/11.58 v1) | ~ $i(v0)) % 74.93/11.58 % 74.93/11.58 (order) % 74.93/11.58 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v2 = v1 | ~ (addition(v0, v1) = % 74.93/11.58 v2) | ~ $i(v1) | ~ $i(v0) | ? [v3: int] : ( ~ (v3 = 0) & leq(v0, v1) = % 74.93/11.58 v3)) & ! [v0: $i] : ! [v1: $i] : ! [v2: int] : (v2 = 0 | ~ (leq(v0, % 74.93/11.58 v1) = v2) | ~ $i(v1) | ~ $i(v0) | ? [v3: $i] : ( ~ (v3 = v1) & % 74.93/11.58 addition(v0, v1) = v3 & $i(v3))) & ! [v0: $i] : ! [v1: $i] : ( ~ % 74.93/11.58 (leq(v0, v1) = 0) | ~ $i(v1) | ~ $i(v0) | addition(v0, v1) = v1) & ! [v0: % 74.93/11.58 $i] : ! [v1: $i] : ( ~ (addition(v0, v1) = v1) | ~ $i(v1) | ~ $i(v0) | % 74.93/11.58 leq(v0, v1) = 0) % 74.93/11.58 % 74.93/11.58 (star_induction2) % 74.93/11.59 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: % 74.93/11.59 int] : (v5 = 0 | ~ (leq(v4, v2) = v5) | ~ (star(v0) = v3) | ~ % 74.93/11.59 (multiplication(v1, v3) = v4) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v6: % 74.93/11.59 $i] : ? [v7: $i] : ? [v8: int] : ( ~ (v8 = 0) & leq(v7, v2) = v8 & % 74.93/11.59 multiplication(v2, v0) = v6 & addition(v6, v1) = v7 & $i(v7) & $i(v6))) & % 74.93/11.59 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ( ~ % 74.93/11.59 (multiplication(v2, v0) = v3) | ~ (addition(v3, v1) = v4) | ~ $i(v2) | ~ % 74.93/11.59 $i(v1) | ~ $i(v0) | ? [v5: int] : ? [v6: $i] : ? [v7: $i] : ? [v8: int] % 74.93/11.59 : ((v8 = 0 & leq(v7, v2) = 0 & star(v0) = v6 & multiplication(v1, v6) = v7 & % 74.93/11.59 $i(v7) & $i(v6)) | ( ~ (v5 = 0) & leq(v4, v2) = v5))) % 74.93/11.59 % 74.93/11.59 (star_unfold1) % 74.93/11.59 $i(one) & ! [v0: $i] : ! [v1: $i] : ( ~ (star(v0) = v1) | ~ $i(v0) | ? % 74.93/11.59 [v2: $i] : (multiplication(v0, v1) = v2 & addition(one, v2) = v1 & $i(v2) & % 74.93/11.59 $i(v1))) % 74.93/11.59 % 74.93/11.59 (star_unfold2) % 74.93/11.59 $i(one) & ! [v0: $i] : ! [v1: $i] : ( ~ (star(v0) = v1) | ~ $i(v0) | ? % 74.93/11.59 [v2: $i] : (multiplication(v1, v0) = v2 & addition(one, v2) = v1 & $i(v2) & % 74.93/11.59 $i(v1))) % 74.93/11.59 % 74.93/11.59 (function-axioms) % 74.93/11.59 ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : ! % 74.93/11.59 [v3: $i] : (v1 = v0 | ~ (leq(v3, v2) = v1) | ~ (leq(v3, v2) = v0)) & ! [v0: % 74.93/11.59 $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 74.93/11.59 (multiplication(v3, v2) = v1) | ~ (multiplication(v3, v2) = v0)) & ! [v0: % 74.93/11.59 $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ (addition(v3, % 74.93/11.59 v2) = v1) | ~ (addition(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! % 74.93/11.59 [v2: $i] : (v1 = v0 | ~ (strong_iteration(v2) = v1) | ~ % 74.93/11.59 (strong_iteration(v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 % 74.93/11.59 = v0 | ~ (star(v2) = v1) | ~ (star(v2) = v0)) % 74.93/11.59 % 74.93/11.59 Further assumptions not needed in the proof: % 74.93/11.59 -------------------------------------------- % 74.93/11.59 additive_identity, infty_coinduction, left_annihilation, star_induction1 % 74.93/11.59 % 74.93/11.59 Those formulas are unsatisfiable: % 74.93/11.59 --------------------------------- % 74.93/11.59 % 74.93/11.59 Begin of proof % 74.93/11.60 | % 74.93/11.60 | ALPHA: (additive_commutativity) implies: % 74.93/11.60 | (1) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ (addition(v1, v0) = v2) | % 74.93/11.60 | ~ $i(v1) | ~ $i(v0) | (addition(v0, v1) = v2 & $i(v2))) % 74.93/11.60 | % 74.93/11.60 | ALPHA: (additive_associativity) implies: % 74.93/11.60 | (2) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ( % 74.93/11.60 | ~ (addition(v2, v3) = v4) | ~ (addition(v1, v0) = v3) | ~ $i(v2) | % 74.93/11.60 | ~ $i(v1) | ~ $i(v0) | ? [v5: $i] : (addition(v5, v0) = v4 & % 74.93/11.60 | addition(v2, v1) = v5 & $i(v5) & $i(v4))) % 74.93/11.60 | (3) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ( % 74.93/11.60 | ~ (addition(v3, v0) = v4) | ~ (addition(v2, v1) = v3) | ~ $i(v2) | % 74.93/11.60 | ~ $i(v1) | ~ $i(v0) | ? [v5: $i] : (addition(v2, v5) = v4 & % 74.93/11.60 | addition(v1, v0) = v5 & $i(v5) & $i(v4))) % 74.93/11.60 | % 74.93/11.60 | ALPHA: (multiplicative_associativity) implies: % 74.93/11.60 | (4) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ( % 74.93/11.60 | ~ (multiplication(v1, v2) = v3) | ~ (multiplication(v0, v3) = v4) | % 74.93/11.60 | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v5: $i] : (multiplication(v5, % 74.93/11.60 | v2) = v4 & multiplication(v0, v1) = v5 & $i(v5) & $i(v4))) % 74.93/11.60 | (5) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ( % 74.93/11.60 | ~ (multiplication(v3, v2) = v4) | ~ (multiplication(v0, v1) = v3) | % 74.93/11.60 | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v5: $i] : (multiplication(v1, % 74.93/11.60 | v2) = v5 & multiplication(v0, v5) = v4 & $i(v5) & $i(v4))) % 74.93/11.60 | % 74.93/11.60 | ALPHA: (multiplicative_right_identity) implies: % 74.93/11.60 | (6) ! [v0: $i] : ! [v1: $i] : (v1 = v0 | ~ (multiplication(v0, one) = % 74.93/11.60 | v1) | ~ $i(v0)) % 74.93/11.60 | % 74.93/11.60 | ALPHA: (multiplicative_left_identity) implies: % 74.93/11.61 | (7) ! [v0: $i] : ! [v1: $i] : (v1 = v0 | ~ (multiplication(one, v0) = % 74.93/11.61 | v1) | ~ $i(v0)) % 74.93/11.61 | % 74.93/11.61 | ALPHA: (distributivity1) implies: % 74.93/11.61 | (8) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ( % 74.93/11.61 | ~ (multiplication(v0, v3) = v4) | ~ (addition(v1, v2) = v3) | ~ % 74.93/11.61 | $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v5: $i] : ? [v6: $i] : % 74.93/11.61 | (multiplication(v0, v2) = v6 & multiplication(v0, v1) = v5 & % 74.93/11.61 | addition(v5, v6) = v4 & $i(v6) & $i(v5) & $i(v4))) % 74.93/11.61 | (9) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : % 74.93/11.61 | ! [v5: $i] : ( ~ (multiplication(v0, v2) = v4) | ~ (multiplication(v0, % 74.93/11.61 | v1) = v3) | ~ (addition(v3, v4) = v5) | ~ $i(v2) | ~ $i(v1) | % 74.93/11.61 | ~ $i(v0) | ? [v6: $i] : (multiplication(v0, v6) = v5 & addition(v1, % 74.93/11.61 | v2) = v6 & $i(v6) & $i(v5))) % 74.93/11.61 | % 74.93/11.61 | ALPHA: (distributivity2) implies: % 74.93/11.61 | (10) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : % 74.93/11.61 | ( ~ (multiplication(v3, v2) = v4) | ~ (addition(v0, v1) = v3) | ~ % 74.93/11.61 | $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v5: $i] : ? [v6: $i] : % 74.93/11.61 | (multiplication(v1, v2) = v6 & multiplication(v0, v2) = v5 & % 74.93/11.61 | addition(v5, v6) = v4 & $i(v6) & $i(v5) & $i(v4))) % 74.93/11.61 | (11) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : % 74.93/11.61 | ! [v5: $i] : ( ~ (multiplication(v1, v2) = v4) | ~ % 74.93/11.61 | (multiplication(v0, v2) = v3) | ~ (addition(v3, v4) = v5) | ~ % 74.93/11.61 | $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v6: $i] : (multiplication(v6, % 74.93/11.61 | v2) = v5 & addition(v0, v1) = v6 & $i(v6) & $i(v5))) % 74.93/11.61 | % 74.93/11.61 | ALPHA: (star_unfold1) implies: % 74.93/11.61 | (12) ! [v0: $i] : ! [v1: $i] : ( ~ (star(v0) = v1) | ~ $i(v0) | ? [v2: % 74.93/11.61 | $i] : (multiplication(v0, v1) = v2 & addition(one, v2) = v1 & % 74.93/11.61 | $i(v2) & $i(v1))) % 74.93/11.61 | % 74.93/11.61 | ALPHA: (star_unfold2) implies: % 74.93/11.61 | (13) ! [v0: $i] : ! [v1: $i] : ( ~ (star(v0) = v1) | ~ $i(v0) | ? [v2: % 74.93/11.61 | $i] : (multiplication(v1, v0) = v2 & addition(one, v2) = v1 & % 74.93/11.61 | $i(v2) & $i(v1))) % 74.93/11.61 | % 74.93/11.61 | ALPHA: (star_induction2) implies: % 74.93/11.62 | (14) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : % 74.93/11.62 | ! [v5: int] : (v5 = 0 | ~ (leq(v4, v2) = v5) | ~ (star(v0) = v3) | % 74.93/11.62 | ~ (multiplication(v1, v3) = v4) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) % 74.93/11.62 | | ? [v6: $i] : ? [v7: $i] : ? [v8: int] : ( ~ (v8 = 0) & leq(v7, % 74.93/11.62 | v2) = v8 & multiplication(v2, v0) = v6 & addition(v6, v1) = v7 & % 74.93/11.62 | $i(v7) & $i(v6))) % 74.93/11.62 | % 74.93/11.62 | ALPHA: (infty_unfold1) implies: % 74.93/11.62 | (15) $i(one) % 74.93/11.62 | (16) ! [v0: $i] : ! [v1: $i] : ( ~ (strong_iteration(v0) = v1) | ~ % 74.93/11.62 | $i(v0) | ? [v2: $i] : (multiplication(v0, v1) = v2 & addition(v2, % 74.93/11.62 | one) = v1 & $i(v2) & $i(v1))) % 74.93/11.62 | % 74.93/11.62 | ALPHA: (isolation) implies: % 74.93/11.62 | (17) $i(zero) % 74.93/11.62 | (18) ! [v0: $i] : ! [v1: $i] : ( ~ (star(v0) = v1) | ~ $i(v0) | ? [v2: % 74.93/11.62 | $i] : ? [v3: $i] : (strong_iteration(v0) = v2 & % 74.93/11.62 | multiplication(v2, zero) = v3 & addition(v1, v3) = v2 & $i(v3) & % 74.93/11.62 | $i(v2))) % 74.93/11.62 | % 74.93/11.62 | ALPHA: (order) implies: % 74.93/11.62 | (19) ! [v0: $i] : ! [v1: $i] : ( ~ (leq(v0, v1) = 0) | ~ $i(v1) | ~ % 74.93/11.62 | $i(v0) | addition(v0, v1) = v1) % 74.93/11.62 | (20) ! [v0: $i] : ! [v1: $i] : ! [v2: int] : (v2 = 0 | ~ (leq(v0, v1) = % 74.93/11.62 | v2) | ~ $i(v1) | ~ $i(v0) | ? [v3: $i] : ( ~ (v3 = v1) & % 74.93/11.62 | addition(v0, v1) = v3 & $i(v3))) % 74.93/11.62 | % 74.93/11.62 | ALPHA: (function-axioms) implies: % 74.93/11.62 | (21) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 74.93/11.62 | (addition(v3, v2) = v1) | ~ (addition(v3, v2) = v0)) % 74.93/11.62 | (22) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 74.93/11.62 | (multiplication(v3, v2) = v1) | ~ (multiplication(v3, v2) = v0)) % 74.93/11.62 | % 74.93/11.62 | DELTA: instantiating (goals) with fresh symbols all_22_0, all_22_1, all_22_2, % 74.93/11.62 | all_22_3, all_22_4, all_22_5, all_22_6, all_22_7, all_22_8, all_22_9 % 74.93/11.62 | gives: % 74.93/11.62 | (23) ~ (all_22_0 = 0) & leq(all_22_3, all_22_1) = all_22_0 & leq(all_22_6, % 74.93/11.62 | all_22_5) = 0 & star(all_22_7) = all_22_2 & star(all_22_8) = % 74.93/11.62 | all_22_4 & multiplication(all_22_2, all_22_9) = all_22_1 & % 74.93/11.62 | multiplication(all_22_7, all_22_9) = all_22_5 & % 74.93/11.62 | multiplication(all_22_9, all_22_4) = all_22_3 & % 74.93/11.62 | multiplication(all_22_9, all_22_8) = all_22_6 & $i(all_22_1) & % 74.93/11.62 | $i(all_22_2) & $i(all_22_3) & $i(all_22_4) & $i(all_22_5) & % 74.93/11.62 | $i(all_22_6) & $i(all_22_7) & $i(all_22_8) & $i(all_22_9) % 74.93/11.62 | % 74.93/11.62 | ALPHA: (23) implies: % 74.93/11.62 | (24) ~ (all_22_0 = 0) % 74.93/11.62 | (25) $i(all_22_9) % 74.93/11.62 | (26) $i(all_22_8) % 74.93/11.62 | (27) $i(all_22_7) % 74.93/11.62 | (28) $i(all_22_6) % 74.93/11.63 | (29) $i(all_22_5) % 74.93/11.63 | (30) $i(all_22_3) % 74.93/11.63 | (31) $i(all_22_1) % 74.93/11.63 | (32) multiplication(all_22_9, all_22_8) = all_22_6 % 74.93/11.63 | (33) multiplication(all_22_9, all_22_4) = all_22_3 % 74.93/11.63 | (34) multiplication(all_22_7, all_22_9) = all_22_5 % 74.93/11.63 | (35) multiplication(all_22_2, all_22_9) = all_22_1 % 74.93/11.63 | (36) star(all_22_8) = all_22_4 % 74.93/11.63 | (37) star(all_22_7) = all_22_2 % 74.93/11.63 | (38) leq(all_22_6, all_22_5) = 0 % 74.93/11.63 | (39) leq(all_22_3, all_22_1) = all_22_0 % 74.93/11.63 | % 74.93/11.63 | GROUND_INST: instantiating (18) with all_22_8, all_22_4, simplifying with % 74.93/11.63 | (26), (36) gives: % 74.93/11.63 | (40) ? [v0: $i] : ? [v1: $i] : (strong_iteration(all_22_8) = v0 & % 74.93/11.63 | multiplication(v0, zero) = v1 & addition(all_22_4, v1) = v0 & $i(v1) % 74.93/11.63 | & $i(v0)) % 74.93/11.63 | % 74.93/11.63 | GROUND_INST: instantiating (13) with all_22_8, all_22_4, simplifying with % 74.93/11.63 | (26), (36) gives: % 74.93/11.63 | (41) ? [v0: $i] : (multiplication(all_22_4, all_22_8) = v0 & addition(one, % 74.93/11.63 | v0) = all_22_4 & $i(v0) & $i(all_22_4)) % 74.93/11.63 | % 74.93/11.63 | GROUND_INST: instantiating (12) with all_22_8, all_22_4, simplifying with % 74.93/11.63 | (26), (36) gives: % 74.93/11.63 | (42) ? [v0: $i] : (multiplication(all_22_8, all_22_4) = v0 & addition(one, % 74.93/11.63 | v0) = all_22_4 & $i(v0) & $i(all_22_4)) % 74.93/11.63 | % 74.93/11.63 | GROUND_INST: instantiating (18) with all_22_7, all_22_2, simplifying with % 74.93/11.63 | (27), (37) gives: % 74.93/11.63 | (43) ? [v0: $i] : ? [v1: $i] : (strong_iteration(all_22_7) = v0 & % 74.93/11.63 | multiplication(v0, zero) = v1 & addition(all_22_2, v1) = v0 & $i(v1) % 74.93/11.63 | & $i(v0)) % 74.93/11.63 | % 74.93/11.63 | GROUND_INST: instantiating (13) with all_22_7, all_22_2, simplifying with % 74.93/11.63 | (27), (37) gives: % 74.93/11.63 | (44) ? [v0: $i] : (multiplication(all_22_2, all_22_7) = v0 & addition(one, % 74.93/11.63 | v0) = all_22_2 & $i(v0) & $i(all_22_2)) % 74.93/11.63 | % 74.93/11.63 | GROUND_INST: instantiating (12) with all_22_7, all_22_2, simplifying with % 74.93/11.63 | (27), (37) gives: % 74.93/11.63 | (45) ? [v0: $i] : (multiplication(all_22_7, all_22_2) = v0 & addition(one, % 74.93/11.63 | v0) = all_22_2 & $i(v0) & $i(all_22_2)) % 74.93/11.63 | % 74.93/11.63 | GROUND_INST: instantiating (19) with all_22_6, all_22_5, simplifying with % 74.93/11.63 | (28), (29), (38) gives: % 74.93/11.63 | (46) addition(all_22_6, all_22_5) = all_22_5 % 74.93/11.63 | % 74.93/11.63 | GROUND_INST: instantiating (14) with all_22_8, all_22_9, all_22_1, all_22_4, % 74.93/11.63 | all_22_3, all_22_0, simplifying with (25), (26), (31), (33), % 74.93/11.63 | (36), (39) gives: % 74.93/11.63 | (47) all_22_0 = 0 | ? [v0: $i] : ? [v1: $i] : ? [v2: int] : ( ~ (v2 = 0) % 74.93/11.63 | & leq(v1, all_22_1) = v2 & multiplication(all_22_1, all_22_8) = v0 & % 74.93/11.63 | addition(v0, all_22_9) = v1 & $i(v1) & $i(v0)) % 74.93/11.63 | % 74.93/11.64 | GROUND_INST: instantiating (20) with all_22_3, all_22_1, all_22_0, simplifying % 74.93/11.64 | with (30), (31), (39) gives: % 74.93/11.64 | (48) all_22_0 = 0 | ? [v0: any] : ( ~ (v0 = all_22_1) & addition(all_22_3, % 74.93/11.64 | all_22_1) = v0 & $i(v0)) % 74.93/11.64 | % 74.93/11.64 | DELTA: instantiating (45) with fresh symbol all_30_0 gives: % 74.93/11.64 | (49) multiplication(all_22_7, all_22_2) = all_30_0 & addition(one, % 74.93/11.64 | all_30_0) = all_22_2 & $i(all_30_0) & $i(all_22_2) % 74.93/11.64 | % 74.93/11.64 | ALPHA: (49) implies: % 74.93/11.64 | (50) $i(all_30_0) % 74.93/11.64 | (51) addition(one, all_30_0) = all_22_2 % 74.93/11.64 | (52) multiplication(all_22_7, all_22_2) = all_30_0 % 74.93/11.64 | % 74.93/11.64 | DELTA: instantiating (44) with fresh symbol all_32_0 gives: % 74.93/11.64 | (53) multiplication(all_22_2, all_22_7) = all_32_0 & addition(one, % 74.93/11.64 | all_32_0) = all_22_2 & $i(all_32_0) & $i(all_22_2) % 74.93/11.64 | % 74.93/11.64 | ALPHA: (53) implies: % 74.93/11.64 | (54) $i(all_32_0) % 74.93/11.64 | (55) addition(one, all_32_0) = all_22_2 % 74.93/11.64 | (56) multiplication(all_22_2, all_22_7) = all_32_0 % 74.93/11.64 | % 74.93/11.64 | DELTA: instantiating (42) with fresh symbol all_34_0 gives: % 74.93/11.64 | (57) multiplication(all_22_8, all_22_4) = all_34_0 & addition(one, % 74.93/11.64 | all_34_0) = all_22_4 & $i(all_34_0) & $i(all_22_4) % 74.93/11.64 | % 74.93/11.64 | ALPHA: (57) implies: % 74.93/11.64 | (58) $i(all_34_0) % 74.93/11.64 | (59) addition(one, all_34_0) = all_22_4 % 74.93/11.64 | (60) multiplication(all_22_8, all_22_4) = all_34_0 % 74.93/11.64 | % 74.93/11.64 | DELTA: instantiating (41) with fresh symbol all_36_0 gives: % 74.93/11.64 | (61) multiplication(all_22_4, all_22_8) = all_36_0 & addition(one, % 74.93/11.64 | all_36_0) = all_22_4 & $i(all_36_0) & $i(all_22_4) % 74.93/11.64 | % 74.93/11.64 | ALPHA: (61) implies: % 74.93/11.64 | (62) $i(all_36_0) % 74.93/11.64 | (63) addition(one, all_36_0) = all_22_4 % 74.93/11.64 | (64) multiplication(all_22_4, all_22_8) = all_36_0 % 74.93/11.64 | % 74.93/11.64 | DELTA: instantiating (40) with fresh symbols all_38_0, all_38_1 gives: % 74.93/11.64 | (65) strong_iteration(all_22_8) = all_38_1 & multiplication(all_38_1, zero) % 74.93/11.64 | = all_38_0 & addition(all_22_4, all_38_0) = all_38_1 & $i(all_38_0) & % 74.93/11.64 | $i(all_38_1) % 74.93/11.64 | % 74.93/11.64 | ALPHA: (65) implies: % 74.93/11.64 | (66) $i(all_38_0) % 74.93/11.64 | (67) addition(all_22_4, all_38_0) = all_38_1 % 74.93/11.64 | (68) multiplication(all_38_1, zero) = all_38_0 % 74.93/11.64 | (69) strong_iteration(all_22_8) = all_38_1 % 74.93/11.64 | % 74.93/11.64 | DELTA: instantiating (43) with fresh symbols all_40_0, all_40_1 gives: % 74.93/11.64 | (70) strong_iteration(all_22_7) = all_40_1 & multiplication(all_40_1, zero) % 74.93/11.64 | = all_40_0 & addition(all_22_2, all_40_0) = all_40_1 & $i(all_40_0) & % 74.93/11.64 | $i(all_40_1) % 74.93/11.64 | % 74.93/11.64 | ALPHA: (70) implies: % 74.93/11.64 | (71) $i(all_40_0) % 74.93/11.64 | (72) addition(all_22_2, all_40_0) = all_40_1 % 74.93/11.64 | (73) multiplication(all_40_1, zero) = all_40_0 % 74.93/11.64 | (74) strong_iteration(all_22_7) = all_40_1 % 74.93/11.64 | % 74.93/11.64 | BETA: splitting (48) gives: % 74.93/11.64 | % 74.93/11.64 | Case 1: % 74.93/11.64 | | % 74.93/11.64 | | (75) all_22_0 = 0 % 74.93/11.64 | | % 74.93/11.64 | | REDUCE: (24), (75) imply: % 74.93/11.64 | | (76) $false % 74.93/11.64 | | % 74.93/11.64 | | CLOSE: (76) is inconsistent. % 74.93/11.64 | | % 74.93/11.65 | Case 2: % 74.93/11.65 | | % 74.93/11.65 | | (77) ? [v0: any] : ( ~ (v0 = all_22_1) & addition(all_22_3, all_22_1) = % 74.93/11.65 | | v0 & $i(v0)) % 74.93/11.65 | | % 74.93/11.65 | | DELTA: instantiating (77) with fresh symbol all_46_0 gives: % 74.93/11.65 | | (78) ~ (all_46_0 = all_22_1) & addition(all_22_3, all_22_1) = all_46_0 & % 74.93/11.65 | | $i(all_46_0) % 74.93/11.65 | | % 74.93/11.65 | | ALPHA: (78) implies: % 74.93/11.65 | | (79) addition(all_22_3, all_22_1) = all_46_0 % 74.93/11.65 | | % 74.93/11.65 | | BETA: splitting (47) gives: % 74.93/11.65 | | % 74.93/11.65 | | Case 1: % 74.93/11.65 | | | % 74.93/11.65 | | | (80) all_22_0 = 0 % 74.93/11.65 | | | % 74.93/11.65 | | | REDUCE: (24), (80) imply: % 74.93/11.65 | | | (81) $false % 74.93/11.65 | | | % 74.93/11.65 | | | CLOSE: (81) is inconsistent. % 74.93/11.65 | | | % 74.93/11.65 | | Case 2: % 74.93/11.65 | | | % 74.93/11.65 | | | (82) ? [v0: $i] : ? [v1: $i] : ? [v2: int] : ( ~ (v2 = 0) & leq(v1, % 74.93/11.65 | | | all_22_1) = v2 & multiplication(all_22_1, all_22_8) = v0 & % 74.93/11.65 | | | addition(v0, all_22_9) = v1 & $i(v1) & $i(v0)) % 74.93/11.65 | | | % 74.93/11.65 | | | DELTA: instantiating (82) with fresh symbols all_51_0, all_51_1, all_51_2 % 74.93/11.65 | | | gives: % 74.93/11.65 | | | (83) ~ (all_51_0 = 0) & leq(all_51_1, all_22_1) = all_51_0 & % 74.93/11.65 | | | multiplication(all_22_1, all_22_8) = all_51_2 & addition(all_51_2, % 74.93/11.65 | | | all_22_9) = all_51_1 & $i(all_51_1) & $i(all_51_2) % 74.93/11.65 | | | % 74.93/11.65 | | | ALPHA: (83) implies: % 74.93/11.65 | | | (84) ~ (all_51_0 = 0) % 74.93/11.65 | | | (85) $i(all_51_2) % 74.93/11.65 | | | (86) addition(all_51_2, all_22_9) = all_51_1 % 74.93/11.65 | | | (87) multiplication(all_22_1, all_22_8) = all_51_2 % 74.93/11.65 | | | (88) leq(all_51_1, all_22_1) = all_51_0 % 74.93/11.65 | | | % 74.93/11.65 | | | GROUND_INST: instantiating (10) with one, all_30_0, all_22_9, all_22_2, % 74.93/11.65 | | | all_22_1, simplifying with (15), (25), (35), (50), (51) % 74.93/11.65 | | | gives: % 74.93/11.65 | | | (89) ? [v0: $i] : ? [v1: $i] : (multiplication(all_30_0, all_22_9) = % 74.93/11.65 | | | v1 & multiplication(one, all_22_9) = v0 & addition(v0, v1) = % 74.93/11.65 | | | all_22_1 & $i(v1) & $i(v0) & $i(all_22_1)) % 74.93/11.65 | | | % 74.93/11.65 | | | GROUND_INST: instantiating (1) with all_30_0, one, all_22_2, simplifying % 74.93/11.65 | | | with (15), (50), (51) gives: % 74.93/11.65 | | | (90) addition(all_30_0, one) = all_22_2 & $i(all_22_2) % 74.93/11.65 | | | % 74.93/11.65 | | | ALPHA: (90) implies: % 74.93/11.65 | | | (91) addition(all_30_0, one) = all_22_2 % 74.93/11.65 | | | % 74.93/11.65 | | | GROUND_INST: instantiating (10) with one, all_32_0, all_22_9, all_22_2, % 74.93/11.65 | | | all_22_1, simplifying with (15), (25), (35), (54), (55) % 74.93/11.65 | | | gives: % 74.93/11.65 | | | (92) ? [v0: $i] : ? [v1: $i] : (multiplication(all_32_0, all_22_9) = % 74.93/11.65 | | | v1 & multiplication(one, all_22_9) = v0 & addition(v0, v1) = % 74.93/11.65 | | | all_22_1 & $i(v1) & $i(v0) & $i(all_22_1)) % 74.93/11.65 | | | % 74.93/11.65 | | | GROUND_INST: instantiating (1) with all_32_0, one, all_22_2, simplifying % 74.93/11.65 | | | with (15), (54), (55) gives: % 74.93/11.65 | | | (93) addition(all_32_0, one) = all_22_2 & $i(all_22_2) % 74.93/11.65 | | | % 74.93/11.65 | | | ALPHA: (93) implies: % 74.93/11.65 | | | (94) $i(all_22_2) % 74.93/11.65 | | | (95) addition(all_32_0, one) = all_22_2 % 74.93/11.65 | | | % 74.93/11.66 | | | GROUND_INST: instantiating (8) with all_22_9, one, all_34_0, all_22_4, % 74.93/11.66 | | | all_22_3, simplifying with (15), (25), (33), (58), (59) % 74.93/11.66 | | | gives: % 74.93/11.66 | | | (96) ? [v0: $i] : ? [v1: $i] : (multiplication(all_22_9, all_34_0) = % 74.93/11.66 | | | v1 & multiplication(all_22_9, one) = v0 & addition(v0, v1) = % 74.93/11.66 | | | all_22_3 & $i(v1) & $i(v0) & $i(all_22_3)) % 74.93/11.66 | | | % 74.93/11.66 | | | GROUND_INST: instantiating (1) with all_34_0, one, all_22_4, simplifying % 74.93/11.66 | | | with (15), (58), (59) gives: % 74.93/11.66 | | | (97) addition(all_34_0, one) = all_22_4 & $i(all_22_4) % 74.93/11.66 | | | % 74.93/11.66 | | | ALPHA: (97) implies: % 74.93/11.66 | | | (98) addition(all_34_0, one) = all_22_4 % 74.93/11.66 | | | % 74.93/11.66 | | | GROUND_INST: instantiating (8) with all_22_9, one, all_36_0, all_22_4, % 74.93/11.66 | | | all_22_3, simplifying with (15), (25), (33), (62), (63) % 74.93/11.66 | | | gives: % 74.93/11.66 | | | (99) ? [v0: $i] : ? [v1: $i] : (multiplication(all_22_9, all_36_0) = % 74.93/11.66 | | | v1 & multiplication(all_22_9, one) = v0 & addition(v0, v1) = % 74.93/11.66 | | | all_22_3 & $i(v1) & $i(v0) & $i(all_22_3)) % 74.93/11.66 | | | % 74.93/11.66 | | | GROUND_INST: instantiating (1) with all_36_0, one, all_22_4, simplifying % 74.93/11.66 | | | with (15), (62), (63) gives: % 74.93/11.66 | | | (100) addition(all_36_0, one) = all_22_4 & $i(all_22_4) % 74.93/11.66 | | | % 74.93/11.66 | | | ALPHA: (100) implies: % 74.93/11.66 | | | (101) $i(all_22_4) % 74.93/11.66 | | | (102) addition(all_36_0, one) = all_22_4 % 74.93/11.66 | | | % 74.93/11.66 | | | GROUND_INST: instantiating (2) with all_22_5, all_22_6, all_22_6, % 74.93/11.66 | | | all_22_5, all_22_5, simplifying with (28), (29), (46) gives: % 74.93/11.66 | | | (103) ? [v0: $i] : (addition(v0, all_22_5) = all_22_5 & % 74.93/11.66 | | | addition(all_22_6, all_22_6) = v0 & $i(v0)) % 74.93/11.66 | | | % 74.93/11.66 | | | GROUND_INST: instantiating (1) with all_22_5, all_22_6, all_22_5, % 74.93/11.66 | | | simplifying with (28), (29), (46) gives: % 74.93/11.66 | | | (104) addition(all_22_5, all_22_6) = all_22_5 % 74.93/11.66 | | | % 74.93/11.66 | | | GROUND_INST: instantiating (3) with all_38_0, all_36_0, one, all_22_4, % 74.93/11.66 | | | all_38_1, simplifying with (15), (62), (63), (66), (67) % 74.93/11.66 | | | gives: % 74.93/11.66 | | | (105) ? [v0: $i] : (addition(all_36_0, all_38_0) = v0 & addition(one, % 74.93/11.66 | | | v0) = all_38_1 & $i(v0) & $i(all_38_1)) % 74.93/11.66 | | | % 74.93/11.66 | | | GROUND_INST: instantiating (3) with all_38_0, all_34_0, one, all_22_4, % 74.93/11.66 | | | all_38_1, simplifying with (15), (58), (59), (66), (67) % 74.93/11.66 | | | gives: % 74.93/11.66 | | | (106) ? [v0: $i] : (addition(all_34_0, all_38_0) = v0 & addition(one, % 74.93/11.66 | | | v0) = all_38_1 & $i(v0) & $i(all_38_1)) % 74.93/11.66 | | | % 74.93/11.66 | | | GROUND_INST: instantiating (1) with all_38_0, all_22_4, all_38_1, % 74.93/11.66 | | | simplifying with (66), (67), (101) gives: % 74.93/11.66 | | | (107) addition(all_38_0, all_22_4) = all_38_1 & $i(all_38_1) % 74.93/11.66 | | | % 74.93/11.66 | | | ALPHA: (107) implies: % 74.93/11.66 | | | (108) addition(all_38_0, all_22_4) = all_38_1 % 74.93/11.66 | | | % 74.93/11.66 | | | GROUND_INST: instantiating (1) with all_22_1, all_22_3, all_46_0, % 74.93/11.66 | | | simplifying with (30), (31), (79) gives: % 74.93/11.66 | | | (109) addition(all_22_1, all_22_3) = all_46_0 & $i(all_46_0) % 74.93/11.66 | | | % 74.93/11.66 | | | ALPHA: (109) implies: % 74.93/11.67 | | | (110) addition(all_22_1, all_22_3) = all_46_0 % 74.93/11.67 | | | % 75.56/11.67 | | | GROUND_INST: instantiating (3) with all_40_0, all_32_0, one, all_22_2, % 75.56/11.67 | | | all_40_1, simplifying with (15), (54), (55), (71), (72) % 75.56/11.67 | | | gives: % 75.56/11.67 | | | (111) ? [v0: $i] : (addition(all_32_0, all_40_0) = v0 & addition(one, % 75.56/11.67 | | | v0) = all_40_1 & $i(v0) & $i(all_40_1)) % 75.56/11.67 | | | % 75.56/11.67 | | | GROUND_INST: instantiating (3) with all_40_0, all_30_0, one, all_22_2, % 75.56/11.67 | | | all_40_1, simplifying with (15), (50), (51), (71), (72) % 75.56/11.67 | | | gives: % 75.56/11.67 | | | (112) ? [v0: $i] : (addition(all_30_0, all_40_0) = v0 & addition(one, % 75.56/11.67 | | | v0) = all_40_1 & $i(v0) & $i(all_40_1)) % 75.56/11.67 | | | % 75.56/11.67 | | | GROUND_INST: instantiating (1) with all_40_0, all_22_2, all_40_1, % 75.56/11.67 | | | simplifying with (71), (72), (94) gives: % 75.56/11.67 | | | (113) addition(all_40_0, all_22_2) = all_40_1 & $i(all_40_1) % 75.56/11.67 | | | % 75.56/11.67 | | | ALPHA: (113) implies: % 75.56/11.67 | | | (114) addition(all_40_0, all_22_2) = all_40_1 % 75.56/11.67 | | | % 75.56/11.67 | | | GROUND_INST: instantiating (1) with all_22_9, all_51_2, all_51_1, % 75.56/11.67 | | | simplifying with (25), (85), (86) gives: % 75.56/11.67 | | | (115) addition(all_22_9, all_51_2) = all_51_1 & $i(all_51_1) % 75.56/11.67 | | | % 75.56/11.67 | | | ALPHA: (115) implies: % 75.56/11.67 | | | (116) $i(all_51_1) % 75.56/11.67 | | | (117) addition(all_22_9, all_51_2) = all_51_1 % 75.56/11.67 | | | % 75.56/11.67 | | | GROUND_INST: instantiating (8) with all_22_8, one, all_36_0, all_22_4, % 75.56/11.67 | | | all_34_0, simplifying with (15), (26), (60), (62), (63) % 75.56/11.67 | | | gives: % 75.56/11.67 | | | (118) ? [v0: $i] : ? [v1: $i] : (multiplication(all_22_8, all_36_0) = % 75.56/11.67 | | | v1 & multiplication(all_22_8, one) = v0 & addition(v0, v1) = % 75.56/11.67 | | | all_34_0 & $i(v1) & $i(v0) & $i(all_34_0)) % 75.56/11.67 | | | % 75.56/11.67 | | | GROUND_INST: instantiating (8) with all_22_8, one, all_34_0, all_22_4, % 75.56/11.67 | | | all_34_0, simplifying with (15), (26), (58), (59), (60) % 75.56/11.67 | | | gives: % 75.56/11.67 | | | (119) ? [v0: $i] : ? [v1: $i] : (multiplication(all_22_8, all_34_0) = % 75.56/11.67 | | | v1 & multiplication(all_22_8, one) = v0 & addition(v0, v1) = % 75.56/11.67 | | | all_34_0 & $i(v1) & $i(v0)) % 75.56/11.67 | | | % 75.56/11.67 | | | GROUND_INST: instantiating (8) with all_22_7, one, all_32_0, all_22_2, % 75.56/11.67 | | | all_30_0, simplifying with (15), (27), (52), (54), (55) % 75.56/11.67 | | | gives: % 75.56/11.67 | | | (120) ? [v0: $i] : ? [v1: $i] : (multiplication(all_22_7, all_32_0) = % 75.56/11.67 | | | v1 & multiplication(all_22_7, one) = v0 & addition(v0, v1) = % 75.56/11.67 | | | all_30_0 & $i(v1) & $i(v0) & $i(all_30_0)) % 75.56/11.67 | | | % 75.56/11.67 | | | GROUND_INST: instantiating (8) with all_22_7, one, all_30_0, all_22_2, % 75.56/11.67 | | | all_30_0, simplifying with (15), (27), (50), (51), (52) % 75.56/11.67 | | | gives: % 75.56/11.68 | | | (121) ? [v0: $i] : ? [v1: $i] : (multiplication(all_22_7, all_30_0) = % 75.56/11.68 | | | v1 & multiplication(all_22_7, one) = v0 & addition(v0, v1) = % 75.56/11.68 | | | all_30_0 & $i(v1) & $i(v0)) % 75.56/11.68 | | | % 75.56/11.68 | | | GROUND_INST: instantiating (10) with one, all_36_0, all_22_8, all_22_4, % 75.56/11.68 | | | all_36_0, simplifying with (15), (26), (62), (63), (64) % 75.56/11.68 | | | gives: % 75.56/11.68 | | | (122) ? [v0: $i] : ? [v1: $i] : (multiplication(all_36_0, all_22_8) = % 75.56/11.68 | | | v1 & multiplication(one, all_22_8) = v0 & addition(v0, v1) = % 75.56/11.68 | | | all_36_0 & $i(v1) & $i(v0)) % 75.56/11.68 | | | % 75.56/11.68 | | | GROUND_INST: instantiating (10) with one, all_34_0, all_22_8, all_22_4, % 75.56/11.68 | | | all_36_0, simplifying with (15), (26), (58), (59), (64) % 75.56/11.68 | | | gives: % 75.56/11.68 | | | (123) ? [v0: $i] : ? [v1: $i] : (multiplication(all_34_0, all_22_8) = % 75.56/11.68 | | | v1 & multiplication(one, all_22_8) = v0 & addition(v0, v1) = % 75.56/11.68 | | | all_36_0 & $i(v1) & $i(v0) & $i(all_36_0)) % 75.56/11.68 | | | % 75.56/11.68 | | | GROUND_INST: instantiating (10) with one, all_32_0, all_22_7, all_22_2, % 75.56/11.68 | | | all_32_0, simplifying with (15), (27), (54), (55), (56) % 75.56/11.68 | | | gives: % 75.56/11.68 | | | (124) ? [v0: $i] : ? [v1: $i] : (multiplication(all_32_0, all_22_7) = % 75.56/11.68 | | | v1 & multiplication(one, all_22_7) = v0 & addition(v0, v1) = % 75.56/11.68 | | | all_32_0 & $i(v1) & $i(v0)) % 75.56/11.68 | | | % 75.56/11.68 | | | GROUND_INST: instantiating (10) with one, all_30_0, all_22_7, all_22_2, % 75.56/11.68 | | | all_32_0, simplifying with (15), (27), (50), (51), (56) % 75.56/11.68 | | | gives: % 75.56/11.68 | | | (125) ? [v0: $i] : ? [v1: $i] : (multiplication(all_30_0, all_22_7) = % 75.56/11.68 | | | v1 & multiplication(one, all_22_7) = v0 & addition(v0, v1) = % 75.56/11.68 | | | all_32_0 & $i(v1) & $i(v0) & $i(all_32_0)) % 75.56/11.68 | | | % 75.56/11.68 | | | GROUND_INST: instantiating (5) with all_22_2, all_22_9, all_22_8, % 75.56/11.68 | | | all_22_1, all_51_2, simplifying with (25), (26), (35), (87), % 75.56/11.68 | | | (94) gives: % 75.56/11.68 | | | (126) ? [v0: $i] : (multiplication(all_22_2, v0) = all_51_2 & % 75.56/11.68 | | | multiplication(all_22_9, all_22_8) = v0 & $i(v0) & % 75.56/11.68 | | | $i(all_51_2)) % 75.56/11.68 | | | % 75.56/11.68 | | | GROUND_INST: instantiating (10) with all_22_4, all_38_0, zero, all_38_1, % 75.56/11.68 | | | all_38_0, simplifying with (17), (66), (67), (68), (101) % 75.56/11.68 | | | gives: % 75.56/11.68 | | | (127) ? [v0: $i] : ? [v1: $i] : (multiplication(all_38_0, zero) = v1 % 75.56/11.68 | | | & multiplication(all_22_4, zero) = v0 & addition(v0, v1) = % 75.56/11.68 | | | all_38_0 & $i(v1) & $i(v0)) % 75.56/11.68 | | | % 75.56/11.68 | | | GROUND_INST: instantiating (10) with all_22_2, all_40_0, zero, all_40_1, % 75.56/11.68 | | | all_40_0, simplifying with (17), (71), (72), (73), (94) % 75.56/11.68 | | | gives: % 75.56/11.68 | | | (128) ? [v0: $i] : ? [v1: $i] : (multiplication(all_40_0, zero) = v1 % 75.56/11.68 | | | & multiplication(all_22_2, zero) = v0 & addition(v0, v1) = % 75.56/11.68 | | | all_40_0 & $i(v1) & $i(v0)) % 75.56/11.68 | | | % 75.56/11.68 | | | GROUND_INST: instantiating (20) with all_51_1, all_22_1, all_51_0, % 75.56/11.68 | | | simplifying with (31), (88), (116) gives: % 75.56/11.68 | | | (129) all_51_0 = 0 | ? [v0: any] : ( ~ (v0 = all_22_1) & % 75.56/11.68 | | | addition(all_51_1, all_22_1) = v0 & $i(v0)) % 75.56/11.68 | | | % 75.56/11.69 | | | GROUND_INST: instantiating (16) with all_22_8, all_38_1, simplifying with % 75.56/11.69 | | | (26), (69) gives: % 75.56/11.69 | | | (130) ? [v0: $i] : (multiplication(all_22_8, all_38_1) = v0 & % 75.56/11.69 | | | addition(v0, one) = all_38_1 & $i(v0) & $i(all_38_1)) % 75.56/11.69 | | | % 75.56/11.69 | | | GROUND_INST: instantiating (16) with all_22_7, all_40_1, simplifying with % 75.56/11.69 | | | (27), (74) gives: % 75.56/11.69 | | | (131) ? [v0: $i] : (multiplication(all_22_7, all_40_1) = v0 & % 75.56/11.69 | | | addition(v0, one) = all_40_1 & $i(v0) & $i(all_40_1)) % 75.56/11.69 | | | % 75.56/11.69 | | | DELTA: instantiating (103) with fresh symbol all_59_0 gives: % 75.56/11.69 | | | (132) addition(all_59_0, all_22_5) = all_22_5 & addition(all_22_6, % 75.56/11.69 | | | all_22_6) = all_59_0 & $i(all_59_0) % 75.56/11.69 | | | % 75.56/11.69 | | | ALPHA: (132) implies: % 75.56/11.69 | | | (133) $i(all_59_0) % 75.56/11.69 | | | (134) addition(all_22_6, all_22_6) = all_59_0 % 75.56/11.69 | | | (135) addition(all_59_0, all_22_5) = all_22_5 % 75.56/11.69 | | | % 75.56/11.69 | | | DELTA: instantiating (112) with fresh symbol all_61_0 gives: % 75.56/11.69 | | | (136) addition(all_30_0, all_40_0) = all_61_0 & addition(one, all_61_0) % 75.56/11.69 | | | = all_40_1 & $i(all_61_0) & $i(all_40_1) % 75.56/11.69 | | | % 75.56/11.69 | | | ALPHA: (136) implies: % 75.56/11.69 | | | (137) addition(one, all_61_0) = all_40_1 % 75.56/11.69 | | | (138) addition(all_30_0, all_40_0) = all_61_0 % 75.56/11.69 | | | % 75.56/11.69 | | | DELTA: instantiating (111) with fresh symbol all_63_0 gives: % 75.56/11.69 | | | (139) addition(all_32_0, all_40_0) = all_63_0 & addition(one, all_63_0) % 75.56/11.69 | | | = all_40_1 & $i(all_63_0) & $i(all_40_1) % 75.56/11.69 | | | % 75.56/11.69 | | | ALPHA: (139) implies: % 75.56/11.69 | | | (140) addition(one, all_63_0) = all_40_1 % 75.56/11.69 | | | (141) addition(all_32_0, all_40_0) = all_63_0 % 75.56/11.69 | | | % 75.56/11.69 | | | DELTA: instantiating (105) with fresh symbol all_65_0 gives: % 75.56/11.69 | | | (142) addition(all_36_0, all_38_0) = all_65_0 & addition(one, all_65_0) % 75.56/11.69 | | | = all_38_1 & $i(all_65_0) & $i(all_38_1) % 75.56/11.69 | | | % 75.56/11.69 | | | ALPHA: (142) implies: % 75.56/11.69 | | | (143) addition(one, all_65_0) = all_38_1 % 75.56/11.69 | | | (144) addition(all_36_0, all_38_0) = all_65_0 % 75.56/11.69 | | | % 75.56/11.69 | | | DELTA: instantiating (106) with fresh symbol all_67_0 gives: % 75.56/11.69 | | | (145) addition(all_34_0, all_38_0) = all_67_0 & addition(one, all_67_0) % 75.56/11.69 | | | = all_38_1 & $i(all_67_0) & $i(all_38_1) % 75.56/11.69 | | | % 75.56/11.69 | | | ALPHA: (145) implies: % 75.56/11.69 | | | (146) addition(one, all_67_0) = all_38_1 % 75.56/11.69 | | | (147) addition(all_34_0, all_38_0) = all_67_0 % 75.56/11.69 | | | % 75.56/11.69 | | | DELTA: instantiating (131) with fresh symbol all_69_0 gives: % 75.56/11.69 | | | (148) multiplication(all_22_7, all_40_1) = all_69_0 & % 75.56/11.69 | | | addition(all_69_0, one) = all_40_1 & $i(all_69_0) & $i(all_40_1) % 75.56/11.69 | | | % 75.56/11.69 | | | ALPHA: (148) implies: % 75.56/11.69 | | | (149) $i(all_69_0) % 75.56/11.69 | | | (150) addition(all_69_0, one) = all_40_1 % 75.56/11.69 | | | (151) multiplication(all_22_7, all_40_1) = all_69_0 % 75.56/11.69 | | | % 75.56/11.69 | | | DELTA: instantiating (130) with fresh symbol all_71_0 gives: % 75.56/11.69 | | | (152) multiplication(all_22_8, all_38_1) = all_71_0 & % 75.56/11.69 | | | addition(all_71_0, one) = all_38_1 & $i(all_71_0) & $i(all_38_1) % 75.56/11.69 | | | % 75.56/11.69 | | | ALPHA: (152) implies: % 75.56/11.69 | | | (153) $i(all_71_0) % 75.56/11.69 | | | (154) addition(all_71_0, one) = all_38_1 % 75.56/11.69 | | | (155) multiplication(all_22_8, all_38_1) = all_71_0 % 75.56/11.69 | | | % 75.56/11.69 | | | DELTA: instantiating (126) with fresh symbol all_73_0 gives: % 75.56/11.69 | | | (156) multiplication(all_22_2, all_73_0) = all_51_2 & % 75.56/11.69 | | | multiplication(all_22_9, all_22_8) = all_73_0 & $i(all_73_0) & % 75.56/11.69 | | | $i(all_51_2) % 75.56/11.69 | | | % 75.56/11.69 | | | ALPHA: (156) implies: % 75.56/11.69 | | | (157) $i(all_73_0) % 75.56/11.69 | | | (158) multiplication(all_22_9, all_22_8) = all_73_0 % 75.56/11.69 | | | (159) multiplication(all_22_2, all_73_0) = all_51_2 % 75.56/11.69 | | | % 75.56/11.69 | | | DELTA: instantiating (122) with fresh symbols all_75_0, all_75_1 gives: % 75.56/11.69 | | | (160) multiplication(all_36_0, all_22_8) = all_75_0 & % 75.56/11.69 | | | multiplication(one, all_22_8) = all_75_1 & addition(all_75_1, % 75.56/11.69 | | | all_75_0) = all_36_0 & $i(all_75_0) & $i(all_75_1) % 75.56/11.69 | | | % 75.56/11.69 | | | ALPHA: (160) implies: % 75.56/11.69 | | | (161) $i(all_75_0) % 75.56/11.69 | | | (162) addition(all_75_1, all_75_0) = all_36_0 % 75.56/11.69 | | | (163) multiplication(one, all_22_8) = all_75_1 % 75.56/11.69 | | | (164) multiplication(all_36_0, all_22_8) = all_75_0 % 75.56/11.69 | | | % 75.56/11.69 | | | DELTA: instantiating (121) with fresh symbols all_77_0, all_77_1 gives: % 75.56/11.69 | | | (165) multiplication(all_22_7, all_30_0) = all_77_0 & % 75.56/11.69 | | | multiplication(all_22_7, one) = all_77_1 & addition(all_77_1, % 75.56/11.69 | | | all_77_0) = all_30_0 & $i(all_77_0) & $i(all_77_1) % 75.56/11.69 | | | % 75.56/11.69 | | | ALPHA: (165) implies: % 75.56/11.69 | | | (166) $i(all_77_0) % 75.56/11.69 | | | (167) addition(all_77_1, all_77_0) = all_30_0 % 75.56/11.69 | | | (168) multiplication(all_22_7, one) = all_77_1 % 75.56/11.69 | | | (169) multiplication(all_22_7, all_30_0) = all_77_0 % 75.56/11.69 | | | % 75.56/11.69 | | | DELTA: instantiating (119) with fresh symbols all_79_0, all_79_1 gives: % 75.56/11.70 | | | (170) multiplication(all_22_8, all_34_0) = all_79_0 & % 75.56/11.70 | | | multiplication(all_22_8, one) = all_79_1 & addition(all_79_1, % 75.56/11.70 | | | all_79_0) = all_34_0 & $i(all_79_0) & $i(all_79_1) % 75.56/11.70 | | | % 75.56/11.70 | | | ALPHA: (170) implies: % 75.56/11.70 | | | (171) $i(all_79_0) % 75.56/11.70 | | | (172) addition(all_79_1, all_79_0) = all_34_0 % 75.56/11.70 | | | (173) multiplication(all_22_8, one) = all_79_1 % 75.56/11.70 | | | (174) multiplication(all_22_8, all_34_0) = all_79_0 % 75.56/11.70 | | | % 75.56/11.70 | | | DELTA: instantiating (124) with fresh symbols all_81_0, all_81_1 gives: % 75.56/11.70 | | | (175) multiplication(all_32_0, all_22_7) = all_81_0 & % 75.56/11.70 | | | multiplication(one, all_22_7) = all_81_1 & addition(all_81_1, % 75.56/11.70 | | | all_81_0) = all_32_0 & $i(all_81_0) & $i(all_81_1) % 75.56/11.70 | | | % 75.56/11.70 | | | ALPHA: (175) implies: % 75.56/11.70 | | | (176) $i(all_81_0) % 75.56/11.70 | | | (177) addition(all_81_1, all_81_0) = all_32_0 % 75.56/11.70 | | | (178) multiplication(one, all_22_7) = all_81_1 % 75.56/11.70 | | | (179) multiplication(all_32_0, all_22_7) = all_81_0 % 75.56/11.70 | | | % 75.56/11.70 | | | DELTA: instantiating (128) with fresh symbols all_83_0, all_83_1 gives: % 75.56/11.70 | | | (180) multiplication(all_40_0, zero) = all_83_0 & % 75.56/11.70 | | | multiplication(all_22_2, zero) = all_83_1 & addition(all_83_1, % 75.56/11.70 | | | all_83_0) = all_40_0 & $i(all_83_0) & $i(all_83_1) % 75.56/11.70 | | | % 75.56/11.70 | | | ALPHA: (180) implies: % 75.56/11.70 | | | (181) $i(all_83_1) % 75.56/11.70 | | | (182) $i(all_83_0) % 75.56/11.70 | | | (183) addition(all_83_1, all_83_0) = all_40_0 % 75.56/11.70 | | | % 75.56/11.70 | | | DELTA: instantiating (127) with fresh symbols all_85_0, all_85_1 gives: % 75.56/11.70 | | | (184) multiplication(all_38_0, zero) = all_85_0 & % 75.56/11.70 | | | multiplication(all_22_4, zero) = all_85_1 & addition(all_85_1, % 75.56/11.70 | | | all_85_0) = all_38_0 & $i(all_85_0) & $i(all_85_1) % 75.56/11.70 | | | % 75.56/11.70 | | | ALPHA: (184) implies: % 75.56/11.70 | | | (185) $i(all_85_1) % 75.56/11.70 | | | (186) $i(all_85_0) % 75.56/11.70 | | | (187) addition(all_85_1, all_85_0) = all_38_0 % 75.56/11.70 | | | % 75.56/11.70 | | | DELTA: instantiating (118) with fresh symbols all_87_0, all_87_1 gives: % 75.56/11.70 | | | (188) multiplication(all_22_8, all_36_0) = all_87_0 & % 75.56/11.70 | | | multiplication(all_22_8, one) = all_87_1 & addition(all_87_1, % 75.56/11.70 | | | all_87_0) = all_34_0 & $i(all_87_0) & $i(all_87_1) & % 75.56/11.70 | | | $i(all_34_0) % 75.56/11.70 | | | % 75.56/11.70 | | | ALPHA: (188) implies: % 75.56/11.70 | | | (189) $i(all_87_1) % 75.56/11.70 | | | (190) $i(all_87_0) % 75.56/11.70 | | | (191) addition(all_87_1, all_87_0) = all_34_0 % 75.56/11.70 | | | (192) multiplication(all_22_8, one) = all_87_1 % 75.56/11.70 | | | (193) multiplication(all_22_8, all_36_0) = all_87_0 % 75.56/11.70 | | | % 75.56/11.70 | | | DELTA: instantiating (96) with fresh symbols all_89_0, all_89_1 gives: % 75.56/11.70 | | | (194) multiplication(all_22_9, all_34_0) = all_89_0 & % 75.56/11.70 | | | multiplication(all_22_9, one) = all_89_1 & addition(all_89_1, % 75.56/11.70 | | | all_89_0) = all_22_3 & $i(all_89_0) & $i(all_89_1) & % 75.56/11.70 | | | $i(all_22_3) % 75.56/11.70 | | | % 75.56/11.70 | | | ALPHA: (194) implies: % 75.56/11.70 | | | (195) $i(all_89_0) % 75.56/11.70 | | | (196) addition(all_89_1, all_89_0) = all_22_3 % 75.56/11.70 | | | (197) multiplication(all_22_9, one) = all_89_1 % 75.56/11.70 | | | (198) multiplication(all_22_9, all_34_0) = all_89_0 % 75.56/11.70 | | | % 75.56/11.70 | | | DELTA: instantiating (92) with fresh symbols all_91_0, all_91_1 gives: % 75.56/11.70 | | | (199) multiplication(all_32_0, all_22_9) = all_91_0 & % 75.56/11.70 | | | multiplication(one, all_22_9) = all_91_1 & addition(all_91_1, % 75.56/11.70 | | | all_91_0) = all_22_1 & $i(all_91_0) & $i(all_91_1) & % 75.56/11.70 | | | $i(all_22_1) % 75.56/11.70 | | | % 75.56/11.70 | | | ALPHA: (199) implies: % 75.56/11.70 | | | (200) $i(all_91_0) % 75.56/11.70 | | | (201) addition(all_91_1, all_91_0) = all_22_1 % 75.56/11.70 | | | (202) multiplication(one, all_22_9) = all_91_1 % 75.56/11.70 | | | (203) multiplication(all_32_0, all_22_9) = all_91_0 % 75.56/11.70 | | | % 75.56/11.70 | | | DELTA: instantiating (89) with fresh symbols all_93_0, all_93_1 gives: % 75.56/11.70 | | | (204) multiplication(all_30_0, all_22_9) = all_93_0 & % 75.56/11.70 | | | multiplication(one, all_22_9) = all_93_1 & addition(all_93_1, % 75.56/11.70 | | | all_93_0) = all_22_1 & $i(all_93_0) & $i(all_93_1) & % 75.56/11.70 | | | $i(all_22_1) % 75.56/11.70 | | | % 75.56/11.70 | | | ALPHA: (204) implies: % 75.56/11.70 | | | (205) $i(all_93_1) % 75.56/11.70 | | | (206) $i(all_93_0) % 75.56/11.70 | | | (207) addition(all_93_1, all_93_0) = all_22_1 % 75.56/11.70 | | | (208) multiplication(one, all_22_9) = all_93_1 % 75.56/11.70 | | | (209) multiplication(all_30_0, all_22_9) = all_93_0 % 75.56/11.70 | | | % 75.56/11.70 | | | DELTA: instantiating (125) with fresh symbols all_95_0, all_95_1 gives: % 75.56/11.70 | | | (210) multiplication(all_30_0, all_22_7) = all_95_0 & % 75.56/11.70 | | | multiplication(one, all_22_7) = all_95_1 & addition(all_95_1, % 75.56/11.70 | | | all_95_0) = all_32_0 & $i(all_95_0) & $i(all_95_1) & % 75.56/11.70 | | | $i(all_32_0) % 75.56/11.70 | | | % 75.56/11.70 | | | ALPHA: (210) implies: % 75.56/11.70 | | | (211) $i(all_95_1) % 75.56/11.70 | | | (212) $i(all_95_0) % 75.56/11.70 | | | (213) addition(all_95_1, all_95_0) = all_32_0 % 75.56/11.70 | | | (214) multiplication(one, all_22_7) = all_95_1 % 75.56/11.70 | | | (215) multiplication(all_30_0, all_22_7) = all_95_0 % 75.56/11.70 | | | % 75.56/11.70 | | | DELTA: instantiating (120) with fresh symbols all_97_0, all_97_1 gives: % 75.56/11.70 | | | (216) multiplication(all_22_7, all_32_0) = all_97_0 & % 75.56/11.70 | | | multiplication(all_22_7, one) = all_97_1 & addition(all_97_1, % 75.56/11.70 | | | all_97_0) = all_30_0 & $i(all_97_0) & $i(all_97_1) & % 75.56/11.70 | | | $i(all_30_0) % 75.56/11.70 | | | % 75.56/11.70 | | | ALPHA: (216) implies: % 75.56/11.70 | | | (217) $i(all_97_1) % 75.56/11.70 | | | (218) $i(all_97_0) % 75.56/11.70 | | | (219) addition(all_97_1, all_97_0) = all_30_0 % 75.56/11.70 | | | (220) multiplication(all_22_7, one) = all_97_1 % 75.56/11.70 | | | (221) multiplication(all_22_7, all_32_0) = all_97_0 % 75.56/11.70 | | | % 75.56/11.70 | | | DELTA: instantiating (123) with fresh symbols all_99_0, all_99_1 gives: % 75.56/11.71 | | | (222) multiplication(all_34_0, all_22_8) = all_99_0 & % 75.56/11.71 | | | multiplication(one, all_22_8) = all_99_1 & addition(all_99_1, % 75.56/11.71 | | | all_99_0) = all_36_0 & $i(all_99_0) & $i(all_99_1) & % 75.56/11.71 | | | $i(all_36_0) % 75.56/11.71 | | | % 75.56/11.71 | | | ALPHA: (222) implies: % 75.56/11.71 | | | (223) $i(all_99_1) % 75.56/11.71 | | | (224) $i(all_99_0) % 75.56/11.71 | | | (225) addition(all_99_1, all_99_0) = all_36_0 % 75.56/11.71 | | | (226) multiplication(one, all_22_8) = all_99_1 % 75.56/11.71 | | | (227) multiplication(all_34_0, all_22_8) = all_99_0 % 75.56/11.71 | | | % 75.56/11.71 | | | DELTA: instantiating (99) with fresh symbols all_101_0, all_101_1 gives: % 75.56/11.71 | | | (228) multiplication(all_22_9, all_36_0) = all_101_0 & % 75.56/11.71 | | | multiplication(all_22_9, one) = all_101_1 & addition(all_101_1, % 75.56/11.71 | | | all_101_0) = all_22_3 & $i(all_101_0) & $i(all_101_1) & % 75.56/11.71 | | | $i(all_22_3) % 75.56/11.71 | | | % 75.56/11.71 | | | ALPHA: (228) implies: % 75.56/11.71 | | | (229) $i(all_101_1) % 75.56/11.71 | | | (230) $i(all_101_0) % 75.56/11.71 | | | (231) addition(all_101_1, all_101_0) = all_22_3 % 75.56/11.71 | | | (232) multiplication(all_22_9, one) = all_101_1 % 75.56/11.71 | | | (233) multiplication(all_22_9, all_36_0) = all_101_0 % 75.56/11.71 | | | % 75.56/11.71 | | | BETA: splitting (129) gives: % 75.56/11.71 | | | % 75.56/11.71 | | | Case 1: % 75.56/11.71 | | | | % 75.56/11.71 | | | | (234) all_51_0 = 0 % 75.56/11.71 | | | | % 75.56/11.71 | | | | REDUCE: (84), (234) imply: % 75.56/11.71 | | | | (235) $false % 75.56/11.71 | | | | % 75.56/11.71 | | | | CLOSE: (235) is inconsistent. % 75.56/11.71 | | | | % 75.56/11.71 | | | Case 2: % 75.56/11.71 | | | | % 75.56/11.71 | | | | (236) ? [v0: any] : ( ~ (v0 = all_22_1) & addition(all_51_1, % 75.56/11.71 | | | | all_22_1) = v0 & $i(v0)) % 75.56/11.71 | | | | % 75.56/11.71 | | | | DELTA: instantiating (236) with fresh symbol all_115_0 gives: % 75.56/11.71 | | | | (237) ~ (all_115_0 = all_22_1) & addition(all_51_1, all_22_1) = % 75.56/11.71 | | | | all_115_0 & $i(all_115_0) % 75.56/11.71 | | | | % 75.56/11.71 | | | | ALPHA: (237) implies: % 75.56/11.71 | | | | (238) ~ (all_115_0 = all_22_1) % 75.56/11.71 | | | | (239) addition(all_51_1, all_22_1) = all_115_0 % 75.56/11.71 | | | | % 75.56/11.71 | | | | GROUND_INST: instantiating (22) with all_91_1, all_93_1, all_22_9, one, % 75.56/11.71 | | | | simplifying with (202), (208) gives: % 75.56/11.71 | | | | (240) all_93_1 = all_91_1 % 75.56/11.71 | | | | % 75.56/11.71 | | | | GROUND_INST: instantiating (22) with all_75_1, all_99_1, all_22_8, one, % 75.56/11.71 | | | | simplifying with (163), (226) gives: % 75.56/11.71 | | | | (241) all_99_1 = all_75_1 % 75.56/11.71 | | | | % 75.56/11.71 | | | | GROUND_INST: instantiating (22) with all_81_1, all_95_1, all_22_7, one, % 75.56/11.71 | | | | simplifying with (178), (214) gives: % 75.56/11.71 | | | | (242) all_95_1 = all_81_1 % 75.56/11.71 | | | | % 75.56/11.71 | | | | GROUND_INST: instantiating (22) with all_89_1, all_101_1, one, all_22_9, % 75.56/11.71 | | | | simplifying with (197), (232) gives: % 75.56/11.71 | | | | (243) all_101_1 = all_89_1 % 75.56/11.71 | | | | % 75.56/11.71 | | | | GROUND_INST: instantiating (22) with all_22_6, all_73_0, all_22_8, % 75.56/11.71 | | | | all_22_9, simplifying with (32), (158) gives: % 75.56/11.71 | | | | (244) all_73_0 = all_22_6 % 75.56/11.71 | | | | % 75.56/11.71 | | | | GROUND_INST: instantiating (22) with all_79_1, all_87_1, one, all_22_8, % 75.56/11.71 | | | | simplifying with (173), (192) gives: % 75.56/11.71 | | | | (245) all_87_1 = all_79_1 % 75.56/11.71 | | | | % 75.56/11.71 | | | | GROUND_INST: instantiating (22) with all_77_1, all_97_1, one, all_22_7, % 75.56/11.71 | | | | simplifying with (168), (220) gives: % 75.56/11.71 | | | | (246) all_97_1 = all_77_1 % 75.56/11.71 | | | | % 75.56/11.71 | | | | REDUCE: (159), (244) imply: % 75.56/11.71 | | | | (247) multiplication(all_22_2, all_22_6) = all_51_2 % 75.56/11.71 | | | | % 75.56/11.71 | | | | REDUCE: (231), (243) imply: % 75.56/11.71 | | | | (248) addition(all_89_1, all_101_0) = all_22_3 % 75.56/11.71 | | | | % 75.56/11.71 | | | | REDUCE: (225), (241) imply: % 75.56/11.71 | | | | (249) addition(all_75_1, all_99_0) = all_36_0 % 75.56/11.71 | | | | % 75.56/11.71 | | | | REDUCE: (219), (246) imply: % 75.56/11.71 | | | | (250) addition(all_77_1, all_97_0) = all_30_0 % 75.56/11.71 | | | | % 75.56/11.71 | | | | REDUCE: (213), (242) imply: % 75.56/11.71 | | | | (251) addition(all_81_1, all_95_0) = all_32_0 % 75.56/11.71 | | | | % 75.56/11.71 | | | | REDUCE: (207), (240) imply: % 75.56/11.71 | | | | (252) addition(all_91_1, all_93_0) = all_22_1 % 75.56/11.71 | | | | % 75.56/11.71 | | | | REDUCE: (191), (245) imply: % 75.56/11.72 | | | | (253) addition(all_79_1, all_87_0) = all_34_0 % 75.56/11.72 | | | | % 75.56/11.72 | | | | REDUCE: (229), (243) imply: % 75.56/11.72 | | | | (254) $i(all_89_1) % 75.56/11.72 | | | | % 75.56/11.72 | | | | REDUCE: (223), (241) imply: % 75.56/11.72 | | | | (255) $i(all_75_1) % 75.56/11.72 | | | | % 75.56/11.72 | | | | REDUCE: (217), (246) imply: % 75.56/11.72 | | | | (256) $i(all_77_1) % 75.56/11.72 | | | | % 75.56/11.72 | | | | REDUCE: (211), (242) imply: % 75.56/11.72 | | | | (257) $i(all_81_1) % 75.56/11.72 | | | | % 75.56/11.72 | | | | REDUCE: (205), (240) imply: % 75.56/11.72 | | | | (258) $i(all_91_1) % 75.56/11.72 | | | | % 75.56/11.72 | | | | REDUCE: (189), (245) imply: % 75.56/11.72 | | | | (259) $i(all_79_1) % 75.56/11.72 | | | | % 75.56/11.72 | | | | GROUND_INST: instantiating (11) with all_22_9, all_22_9, all_22_8, % 75.56/11.72 | | | | all_22_6, all_22_6, all_59_0, simplifying with (25), (26), % 75.56/11.72 | | | | (32), (134) gives: % 75.56/11.72 | | | | (260) ? [v0: $i] : (multiplication(v0, all_22_8) = all_59_0 & % 75.56/11.72 | | | | addition(all_22_9, all_22_9) = v0 & $i(v0) & $i(all_59_0)) % 75.56/11.72 | | | | % 75.56/11.72 | | | | GROUND_INST: instantiating (9) with all_22_9, all_22_8, all_22_8, % 75.56/11.72 | | | | all_22_6, all_22_6, all_59_0, simplifying with (25), (26), % 75.56/11.72 | | | | (32), (134) gives: % 75.56/11.72 | | | | (261) ? [v0: $i] : (multiplication(all_22_9, v0) = all_59_0 & % 75.56/11.72 | | | | addition(all_22_8, all_22_8) = v0 & $i(v0) & $i(all_59_0)) % 75.56/11.72 | | | | % 75.56/11.72 | | | | GROUND_INST: instantiating (idempotence) with all_22_6, all_59_0, % 75.56/11.72 | | | | simplifying with (28), (134) gives: % 75.56/11.72 | | | | (262) all_59_0 = all_22_6 % 75.56/11.72 | | | | % 75.56/11.72 | | | | GROUND_INST: instantiating (3) with all_22_6, all_22_6, all_22_5, % 75.56/11.72 | | | | all_22_5, all_22_5, simplifying with (28), (29), (104) % 75.56/11.72 | | | | gives: % 75.56/11.72 | | | | (263) ? [v0: $i] : (addition(all_22_5, v0) = all_22_5 & % 75.56/11.72 | | | | addition(all_22_6, all_22_6) = v0 & $i(v0)) % 75.56/11.72 | | | | % 75.56/11.72 | | | | GROUND_INST: instantiating (10) with all_30_0, one, all_22_7, all_22_2, % 75.56/11.72 | | | | all_32_0, simplifying with (15), (27), (50), (56), (91) % 75.56/11.72 | | | | gives: % 75.56/11.72 | | | | (264) ? [v0: $i] : ? [v1: $i] : (multiplication(all_30_0, all_22_7) % 75.56/11.72 | | | | = v0 & multiplication(one, all_22_7) = v1 & addition(v0, v1) % 75.56/11.72 | | | | = all_32_0 & $i(v1) & $i(v0) & $i(all_32_0)) % 75.56/11.72 | | | | % 75.56/11.72 | | | | GROUND_INST: instantiating (10) with all_30_0, one, all_22_9, all_22_2, % 75.56/11.72 | | | | all_22_1, simplifying with (15), (25), (35), (50), (91) % 75.56/11.72 | | | | gives: % 75.56/11.72 | | | | (265) ? [v0: $i] : ? [v1: $i] : (multiplication(all_30_0, all_22_9) % 75.56/11.72 | | | | = v0 & multiplication(one, all_22_9) = v1 & addition(v0, v1) % 75.56/11.72 | | | | = all_22_1 & $i(v1) & $i(v0) & $i(all_22_1)) % 75.56/11.72 | | | | % 75.56/11.72 | | | | GROUND_INST: instantiating (8) with all_22_7, all_30_0, one, all_22_2, % 75.56/11.72 | | | | all_30_0, simplifying with (15), (27), (50), (52), (91) % 75.56/11.72 | | | | gives: % 75.56/11.72 | | | | (266) ? [v0: $i] : ? [v1: $i] : (multiplication(all_22_7, all_30_0) % 75.56/11.72 | | | | = v0 & multiplication(all_22_7, one) = v1 & addition(v0, v1) % 75.56/11.72 | | | | = all_30_0 & $i(v1) & $i(v0)) % 75.56/11.72 | | | | % 75.56/11.72 | | | | GROUND_INST: instantiating (1) with all_40_0, all_30_0, all_61_0, % 75.56/11.72 | | | | simplifying with (50), (71), (138) gives: % 75.56/11.72 | | | | (267) addition(all_40_0, all_30_0) = all_61_0 & $i(all_61_0) % 75.56/11.72 | | | | % 75.56/11.72 | | | | ALPHA: (267) implies: % 75.56/11.72 | | | | (268) $i(all_61_0) % 75.56/11.72 | | | | % 75.56/11.72 | | | | GROUND_INST: instantiating (10) with all_32_0, one, all_22_7, all_22_2, % 75.56/11.72 | | | | all_32_0, simplifying with (15), (27), (54), (56), (95) % 75.56/11.72 | | | | gives: % 75.56/11.72 | | | | (269) ? [v0: $i] : ? [v1: $i] : (multiplication(all_32_0, all_22_7) % 75.56/11.72 | | | | = v0 & multiplication(one, all_22_7) = v1 & addition(v0, v1) % 75.56/11.72 | | | | = all_32_0 & $i(v1) & $i(v0)) % 75.56/11.72 | | | | % 75.56/11.72 | | | | GROUND_INST: instantiating (10) with all_32_0, one, all_22_9, all_22_2, % 75.56/11.72 | | | | all_22_1, simplifying with (15), (25), (35), (54), (95) % 75.56/11.72 | | | | gives: % 75.56/11.72 | | | | (270) ? [v0: $i] : ? [v1: $i] : (multiplication(all_32_0, all_22_9) % 75.56/11.72 | | | | = v0 & multiplication(one, all_22_9) = v1 & addition(v0, v1) % 75.56/11.72 | | | | = all_22_1 & $i(v1) & $i(v0) & $i(all_22_1)) % 75.56/11.72 | | | | % 75.56/11.72 | | | | GROUND_INST: instantiating (8) with all_22_7, all_32_0, one, all_22_2, % 75.56/11.72 | | | | all_30_0, simplifying with (15), (27), (52), (54), (95) % 75.56/11.72 | | | | gives: % 75.56/11.72 | | | | (271) ? [v0: $i] : ? [v1: $i] : (multiplication(all_22_7, all_32_0) % 75.56/11.72 | | | | = v0 & multiplication(all_22_7, one) = v1 & addition(v0, v1) % 75.56/11.72 | | | | = all_30_0 & $i(v1) & $i(v0) & $i(all_30_0)) % 75.56/11.72 | | | | % 75.56/11.72 | | | | GROUND_INST: instantiating (1) with all_40_0, all_32_0, all_63_0, % 75.56/11.72 | | | | simplifying with (54), (71), (141) gives: % 75.56/11.72 | | | | (272) addition(all_40_0, all_32_0) = all_63_0 & $i(all_63_0) % 75.56/11.72 | | | | % 75.56/11.72 | | | | ALPHA: (272) implies: % 75.56/11.72 | | | | (273) $i(all_63_0) % 75.56/11.72 | | | | % 75.56/11.72 | | | | GROUND_INST: instantiating (10) with all_34_0, one, all_22_8, all_22_4, % 75.56/11.72 | | | | all_36_0, simplifying with (15), (26), (58), (64), (98) % 75.56/11.72 | | | | gives: % 75.56/11.72 | | | | (274) ? [v0: $i] : ? [v1: $i] : (multiplication(all_34_0, all_22_8) % 75.56/11.72 | | | | = v0 & multiplication(one, all_22_8) = v1 & addition(v0, v1) % 75.56/11.72 | | | | = all_36_0 & $i(v1) & $i(v0) & $i(all_36_0)) % 75.56/11.72 | | | | % 75.56/11.72 | | | | GROUND_INST: instantiating (8) with all_22_8, all_34_0, one, all_22_4, % 75.56/11.72 | | | | all_34_0, simplifying with (15), (26), (58), (60), (98) % 75.56/11.72 | | | | gives: % 75.56/11.72 | | | | (275) ? [v0: $i] : ? [v1: $i] : (multiplication(all_22_8, all_34_0) % 75.56/11.72 | | | | = v0 & multiplication(all_22_8, one) = v1 & addition(v0, v1) % 75.56/11.72 | | | | = all_34_0 & $i(v1) & $i(v0)) % 75.56/11.72 | | | | % 75.56/11.73 | | | | GROUND_INST: instantiating (8) with all_22_9, all_34_0, one, all_22_4, % 75.56/11.73 | | | | all_22_3, simplifying with (15), (25), (33), (58), (98) % 75.56/11.73 | | | | gives: % 75.56/11.73 | | | | (276) ? [v0: $i] : ? [v1: $i] : (multiplication(all_22_9, all_34_0) % 75.56/11.73 | | | | = v0 & multiplication(all_22_9, one) = v1 & addition(v0, v1) % 75.56/11.73 | | | | = all_22_3 & $i(v1) & $i(v0) & $i(all_22_3)) % 75.56/11.73 | | | | % 75.56/11.73 | | | | GROUND_INST: instantiating (1) with all_38_0, all_34_0, all_67_0, % 75.56/11.73 | | | | simplifying with (58), (66), (147) gives: % 75.56/11.73 | | | | (277) addition(all_38_0, all_34_0) = all_67_0 & $i(all_67_0) % 75.56/11.73 | | | | % 75.56/11.73 | | | | ALPHA: (277) implies: % 75.56/11.73 | | | | (278) $i(all_67_0) % 75.56/11.73 | | | | % 75.56/11.73 | | | | GROUND_INST: instantiating (10) with all_36_0, one, all_22_8, all_22_4, % 75.56/11.73 | | | | all_36_0, simplifying with (15), (26), (62), (64), (102) % 75.56/11.73 | | | | gives: % 75.56/11.73 | | | | (279) ? [v0: $i] : ? [v1: $i] : (multiplication(all_36_0, all_22_8) % 75.56/11.73 | | | | = v0 & multiplication(one, all_22_8) = v1 & addition(v0, v1) % 75.56/11.73 | | | | = all_36_0 & $i(v1) & $i(v0)) % 75.56/11.73 | | | | % 75.56/11.73 | | | | GROUND_INST: instantiating (8) with all_22_8, all_36_0, one, all_22_4, % 75.56/11.73 | | | | all_34_0, simplifying with (15), (26), (60), (62), (102) % 75.56/11.73 | | | | gives: % 75.56/11.73 | | | | (280) ? [v0: $i] : ? [v1: $i] : (multiplication(all_22_8, all_36_0) % 75.56/11.73 | | | | = v0 & multiplication(all_22_8, one) = v1 & addition(v0, v1) % 75.56/11.73 | | | | = all_34_0 & $i(v1) & $i(v0) & $i(all_34_0)) % 75.56/11.73 | | | | % 75.56/11.73 | | | | GROUND_INST: instantiating (8) with all_22_9, all_36_0, one, all_22_4, % 75.56/11.73 | | | | all_22_3, simplifying with (15), (25), (33), (62), (102) % 75.56/11.73 | | | | gives: % 75.56/11.73 | | | | (281) ? [v0: $i] : ? [v1: $i] : (multiplication(all_22_9, all_36_0) % 75.56/11.73 | | | | = v0 & multiplication(all_22_9, one) = v1 & addition(v0, v1) % 75.56/11.73 | | | | = all_22_3 & $i(v1) & $i(v0) & $i(all_22_3)) % 75.56/11.73 | | | | % 75.56/11.73 | | | | GROUND_INST: instantiating (1) with all_38_0, all_36_0, all_65_0, % 75.56/11.73 | | | | simplifying with (62), (66), (144) gives: % 75.56/11.73 | | | | (282) addition(all_38_0, all_36_0) = all_65_0 & $i(all_65_0) % 75.56/11.73 | | | | % 75.56/11.73 | | | | ALPHA: (282) implies: % 75.56/11.73 | | | | (283) $i(all_65_0) % 75.56/11.73 | | | | % 75.56/11.73 | | | | GROUND_INST: instantiating (3) with all_22_1, all_22_9, all_51_2, % 75.56/11.73 | | | | all_51_1, all_115_0, simplifying with (25), (31), (85), % 75.56/11.73 | | | | (86), (239) gives: % 75.56/11.73 | | | | (284) ? [v0: $i] : (addition(all_51_2, v0) = all_115_0 & % 75.56/11.73 | | | | addition(all_22_9, all_22_1) = v0 & $i(v0) & $i(all_115_0)) % 75.56/11.73 | | | | % 75.56/11.73 | | | | GROUND_INST: instantiating (3) with all_22_1, all_51_2, all_22_9, % 75.56/11.73 | | | | all_51_1, all_115_0, simplifying with (25), (31), (85), % 75.56/11.73 | | | | (117), (239) gives: % 75.56/11.73 | | | | (285) ? [v0: $i] : (addition(all_51_2, all_22_1) = v0 & % 75.56/11.73 | | | | addition(all_22_9, v0) = all_115_0 & $i(v0) & $i(all_115_0)) % 75.56/11.73 | | | | % 75.56/11.73 | | | | GROUND_INST: instantiating (2) with all_22_5, all_22_6, all_59_0, % 75.56/11.73 | | | | all_22_5, all_22_5, simplifying with (28), (29), (46), % 75.56/11.73 | | | | (133), (135) gives: % 75.56/11.73 | | | | (286) ? [v0: $i] : (addition(v0, all_22_5) = all_22_5 & % 75.56/11.73 | | | | addition(all_59_0, all_22_6) = v0 & $i(v0)) % 75.56/11.73 | | | | % 75.56/11.73 | | | | GROUND_INST: instantiating (2) with all_22_5, all_59_0, all_22_6, % 75.56/11.73 | | | | all_22_5, all_22_5, simplifying with (28), (29), (46), % 75.56/11.73 | | | | (133), (135) gives: % 75.56/11.73 | | | | (287) ? [v0: $i] : (addition(v0, all_22_5) = all_22_5 & % 75.56/11.73 | | | | addition(all_22_6, all_59_0) = v0 & $i(v0)) % 75.56/11.73 | | | | % 75.56/11.73 | | | | GROUND_INST: instantiating (2) with all_22_5, all_59_0, all_59_0, % 75.56/11.73 | | | | all_22_5, all_22_5, simplifying with (29), (133), (135) % 75.56/11.73 | | | | gives: % 75.56/11.73 | | | | (288) ? [v0: $i] : (addition(v0, all_22_5) = all_22_5 & % 75.56/11.73 | | | | addition(all_59_0, all_59_0) = v0 & $i(v0)) % 75.56/11.73 | | | | % 75.56/11.73 | | | | GROUND_INST: instantiating (2) with all_77_0, all_77_1, one, all_30_0, % 75.56/11.73 | | | | all_22_2, simplifying with (15), (51), (166), (167), (256) % 75.56/11.73 | | | | gives: % 75.56/11.73 | | | | (289) ? [v0: $i] : (addition(v0, all_77_0) = all_22_2 & % 75.56/11.73 | | | | addition(one, all_77_1) = v0 & $i(v0) & $i(all_22_2)) % 75.56/11.73 | | | | % 75.56/11.73 | | | | GROUND_INST: instantiating (3) with one, all_77_0, all_77_1, all_30_0, % 75.56/11.73 | | | | all_22_2, simplifying with (15), (91), (166), (167), (256) % 75.56/11.73 | | | | gives: % 75.56/11.73 | | | | (290) ? [v0: $i] : (addition(all_77_0, one) = v0 & % 75.56/11.73 | | | | addition(all_77_1, v0) = all_22_2 & $i(v0) & $i(all_22_2)) % 75.56/11.73 | | | | % 75.56/11.73 | | | | GROUND_INST: instantiating (2) with all_97_0, all_77_1, one, all_30_0, % 75.56/11.73 | | | | all_22_2, simplifying with (15), (51), (218), (250), (256) % 75.56/11.73 | | | | gives: % 75.56/11.73 | | | | (291) ? [v0: $i] : (addition(v0, all_97_0) = all_22_2 & % 75.56/11.73 | | | | addition(one, all_77_1) = v0 & $i(v0) & $i(all_22_2)) % 75.56/11.73 | | | | % 75.56/11.73 | | | | GROUND_INST: instantiating (3) with one, all_97_0, all_77_1, all_30_0, % 75.56/11.73 | | | | all_22_2, simplifying with (15), (91), (218), (250), (256) % 75.56/11.73 | | | | gives: % 75.56/11.73 | | | | (292) ? [v0: $i] : (addition(all_97_0, one) = v0 & % 75.56/11.73 | | | | addition(all_77_1, v0) = all_22_2 & $i(v0) & $i(all_22_2)) % 75.56/11.73 | | | | % 75.56/11.73 | | | | GROUND_INST: instantiating (1) with all_97_0, all_77_1, all_30_0, % 75.56/11.73 | | | | simplifying with (218), (250), (256) gives: % 75.56/11.73 | | | | (293) addition(all_97_0, all_77_1) = all_30_0 & $i(all_30_0) % 75.56/11.73 | | | | % 75.56/11.73 | | | | GROUND_INST: instantiating (2) with all_81_0, all_81_1, one, all_32_0, % 75.56/11.73 | | | | all_22_2, simplifying with (15), (55), (176), (177), (257) % 75.56/11.73 | | | | gives: % 75.56/11.73 | | | | (294) ? [v0: $i] : (addition(v0, all_81_0) = all_22_2 & % 75.56/11.73 | | | | addition(one, all_81_1) = v0 & $i(v0) & $i(all_22_2)) % 75.56/11.73 | | | | % 75.56/11.73 | | | | GROUND_INST: instantiating (3) with one, all_81_0, all_81_1, all_32_0, % 75.56/11.73 | | | | all_22_2, simplifying with (15), (95), (176), (177), (257) % 75.56/11.73 | | | | gives: % 75.56/11.73 | | | | (295) ? [v0: $i] : (addition(all_81_0, one) = v0 & % 75.56/11.73 | | | | addition(all_81_1, v0) = all_22_2 & $i(v0) & $i(all_22_2)) % 75.56/11.73 | | | | % 75.56/11.73 | | | | GROUND_INST: instantiating (2) with all_95_0, all_81_1, one, all_32_0, % 75.56/11.73 | | | | all_22_2, simplifying with (15), (55), (212), (251), (257) % 75.56/11.73 | | | | gives: % 75.56/11.73 | | | | (296) ? [v0: $i] : (addition(v0, all_95_0) = all_22_2 & % 75.56/11.73 | | | | addition(one, all_81_1) = v0 & $i(v0) & $i(all_22_2)) % 75.56/11.73 | | | | % 75.56/11.74 | | | | GROUND_INST: instantiating (3) with one, all_95_0, all_81_1, all_32_0, % 75.56/11.74 | | | | all_22_2, simplifying with (15), (95), (212), (251), (257) % 75.56/11.74 | | | | gives: % 75.56/11.74 | | | | (297) ? [v0: $i] : (addition(all_95_0, one) = v0 & % 75.56/11.74 | | | | addition(all_81_1, v0) = all_22_2 & $i(v0) & $i(all_22_2)) % 75.56/11.74 | | | | % 75.56/11.74 | | | | GROUND_INST: instantiating (1) with all_95_0, all_81_1, all_32_0, % 75.56/11.74 | | | | simplifying with (212), (251), (257) gives: % 75.56/11.74 | | | | (298) addition(all_95_0, all_81_1) = all_32_0 & $i(all_32_0) % 75.56/11.74 | | | | % 75.56/11.74 | | | | GROUND_INST: instantiating (1) with all_83_0, all_83_1, all_40_0, % 75.56/11.74 | | | | simplifying with (181), (182), (183) gives: % 75.56/11.74 | | | | (299) addition(all_83_0, all_83_1) = all_40_0 & $i(all_40_0) % 75.56/11.74 | | | | % 75.56/11.74 | | | | GROUND_INST: instantiating (1) with all_85_0, all_85_1, all_38_0, % 75.56/11.74 | | | | simplifying with (185), (186), (187) gives: % 75.56/11.74 | | | | (300) addition(all_85_0, all_85_1) = all_38_0 & $i(all_38_0) % 75.56/11.74 | | | | % 75.56/11.74 | | | | GROUND_INST: instantiating (2) with all_89_0, all_89_1, all_22_1, % 75.56/11.74 | | | | all_22_3, all_46_0, simplifying with (31), (110), (195), % 75.56/11.74 | | | | (196), (254) gives: % 75.56/11.74 | | | | (301) ? [v0: $i] : (addition(v0, all_89_0) = all_46_0 & % 75.56/11.74 | | | | addition(all_22_1, all_89_1) = v0 & $i(v0) & $i(all_46_0)) % 75.56/11.74 | | | | % 75.56/11.74 | | | | GROUND_INST: instantiating (2) with all_101_0, all_89_1, all_22_1, % 75.56/11.74 | | | | all_22_3, all_46_0, simplifying with (31), (110), (230), % 75.56/11.74 | | | | (248), (254) gives: % 75.56/11.74 | | | | (302) ? [v0: $i] : (addition(v0, all_101_0) = all_46_0 & % 75.56/11.74 | | | | addition(all_22_1, all_89_1) = v0 & $i(v0) & $i(all_46_0)) % 75.56/11.74 | | | | % 75.56/11.74 | | | | GROUND_INST: instantiating (1) with all_101_0, all_89_1, all_22_3, % 75.56/11.74 | | | | simplifying with (230), (248), (254) gives: % 75.56/11.74 | | | | (303) addition(all_101_0, all_89_1) = all_22_3 & $i(all_22_3) % 75.56/11.74 | | | | % 75.56/11.74 | | | | GROUND_INST: instantiating (10) with all_91_1, all_91_0, all_22_8, % 75.56/11.74 | | | | all_22_1, all_51_2, simplifying with (26), (87), (200), % 75.56/11.74 | | | | (201), (258) gives: % 75.56/11.74 | | | | (304) ? [v0: $i] : ? [v1: $i] : (multiplication(all_91_0, all_22_8) % 75.56/11.74 | | | | = v1 & multiplication(all_91_1, all_22_8) = v0 & addition(v0, % 75.56/11.74 | | | | v1) = all_51_2 & $i(v1) & $i(v0) & $i(all_51_2)) % 75.56/11.74 | | | | % 75.56/11.74 | | | | GROUND_INST: instantiating (2) with all_91_0, all_91_1, all_22_3, % 75.56/11.74 | | | | all_22_1, all_46_0, simplifying with (30), (79), (200), % 75.56/11.74 | | | | (201), (258) gives: % 75.56/11.74 | | | | (305) ? [v0: $i] : (addition(v0, all_91_0) = all_46_0 & % 75.56/11.74 | | | | addition(all_22_3, all_91_1) = v0 & $i(v0) & $i(all_46_0)) % 75.56/11.74 | | | | % 75.56/11.74 | | | | GROUND_INST: instantiating (2) with all_91_0, all_91_1, all_51_1, % 75.56/11.74 | | | | all_22_1, all_115_0, simplifying with (116), (200), (201), % 75.56/11.74 | | | | (239), (258) gives: % 75.56/11.74 | | | | (306) ? [v0: $i] : (addition(v0, all_91_0) = all_115_0 & % 75.56/11.74 | | | | addition(all_51_1, all_91_1) = v0 & $i(v0) & $i(all_115_0)) % 75.56/11.74 | | | | % 75.56/11.74 | | | | GROUND_INST: instantiating (3) with all_22_3, all_91_0, all_91_1, % 75.56/11.74 | | | | all_22_1, all_46_0, simplifying with (30), (110), (200), % 75.56/11.74 | | | | (201), (258) gives: % 75.56/11.74 | | | | (307) ? [v0: $i] : (addition(all_91_0, all_22_3) = v0 & % 75.56/11.74 | | | | addition(all_91_1, v0) = all_46_0 & $i(v0) & $i(all_46_0)) % 75.56/11.74 | | | | % 75.56/11.74 | | | | GROUND_INST: instantiating (10) with all_91_1, all_93_0, all_22_8, % 75.56/11.74 | | | | all_22_1, all_51_2, simplifying with (26), (87), (206), % 75.56/11.74 | | | | (252), (258) gives: % 75.56/11.74 | | | | (308) ? [v0: $i] : ? [v1: $i] : (multiplication(all_93_0, all_22_8) % 75.56/11.74 | | | | = v1 & multiplication(all_91_1, all_22_8) = v0 & addition(v0, % 75.56/11.74 | | | | v1) = all_51_2 & $i(v1) & $i(v0) & $i(all_51_2)) % 75.56/11.74 | | | | % 75.56/11.74 | | | | GROUND_INST: instantiating (2) with all_93_0, all_91_1, all_22_3, % 75.56/11.74 | | | | all_22_1, all_46_0, simplifying with (30), (79), (206), % 75.56/11.74 | | | | (252), (258) gives: % 75.56/11.74 | | | | (309) ? [v0: $i] : (addition(v0, all_93_0) = all_46_0 & % 75.56/11.74 | | | | addition(all_22_3, all_91_1) = v0 & $i(v0) & $i(all_46_0)) % 75.56/11.74 | | | | % 75.56/11.74 | | | | GROUND_INST: instantiating (2) with all_93_0, all_91_1, all_51_1, % 75.56/11.74 | | | | all_22_1, all_115_0, simplifying with (116), (206), (239), % 75.56/11.74 | | | | (252), (258) gives: % 75.56/11.74 | | | | (310) ? [v0: $i] : (addition(v0, all_93_0) = all_115_0 & % 75.56/11.74 | | | | addition(all_51_1, all_91_1) = v0 & $i(v0) & $i(all_115_0)) % 75.56/11.74 | | | | % 75.56/11.74 | | | | GROUND_INST: instantiating (3) with all_22_3, all_93_0, all_91_1, % 75.56/11.74 | | | | all_22_1, all_46_0, simplifying with (30), (110), (206), % 75.56/11.74 | | | | (252), (258) gives: % 75.56/11.74 | | | | (311) ? [v0: $i] : (addition(all_93_0, all_22_3) = v0 & % 75.56/11.74 | | | | addition(all_91_1, v0) = all_46_0 & $i(v0) & $i(all_46_0)) % 75.56/11.74 | | | | % 75.56/11.74 | | | | GROUND_INST: instantiating (7) with all_22_9, all_91_1, simplifying with % 75.56/11.74 | | | | (25), (202) gives: % 75.56/11.74 | | | | (312) all_91_1 = all_22_9 % 75.56/11.74 | | | | % 75.56/11.74 | | | | GROUND_INST: instantiating (7) with all_22_8, all_75_1, simplifying with % 75.56/11.74 | | | | (26), (163) gives: % 75.56/11.74 | | | | (313) all_75_1 = all_22_8 % 75.56/11.74 | | | | % 75.56/11.74 | | | | GROUND_INST: instantiating (7) with all_22_7, all_81_1, simplifying with % 75.56/11.74 | | | | (27), (178) gives: % 75.56/11.74 | | | | (314) all_81_1 = all_22_7 % 75.56/11.74 | | | | % 75.56/11.74 | | | | GROUND_INST: instantiating (6) with all_22_9, all_89_1, simplifying with % 75.56/11.74 | | | | (25), (197) gives: % 75.56/11.74 | | | | (315) all_89_1 = all_22_9 % 75.56/11.74 | | | | % 75.56/11.74 | | | | GROUND_INST: instantiating (4) with all_22_9, all_22_8, all_22_4, % 75.56/11.74 | | | | all_34_0, all_89_0, simplifying with (25), (26), (60), % 75.56/11.74 | | | | (101), (198) gives: % 75.56/11.74 | | | | (316) ? [v0: $i] : (multiplication(v0, all_22_4) = all_89_0 & % 75.56/11.74 | | | | multiplication(all_22_9, all_22_8) = v0 & $i(v0) & % 75.56/11.74 | | | | $i(all_89_0)) % 75.56/11.74 | | | | % 75.56/11.74 | | | | GROUND_INST: instantiating (8) with all_22_9, all_79_1, all_87_0, % 75.56/11.74 | | | | all_34_0, all_89_0, simplifying with (25), (190), (198), % 75.56/11.74 | | | | (253), (259) gives: % 75.56/11.74 | | | | (317) ? [v0: $i] : ? [v1: $i] : (multiplication(all_22_9, all_87_0) % 75.56/11.74 | | | | = v1 & multiplication(all_22_9, all_79_1) = v0 & addition(v0, % 75.56/11.74 | | | | v1) = all_89_0 & $i(v1) & $i(v0) & $i(all_89_0)) % 75.56/11.74 | | | | % 75.56/11.74 | | | | GROUND_INST: instantiating (8) with all_22_9, all_79_1, all_79_0, % 75.56/11.74 | | | | all_34_0, all_89_0, simplifying with (25), (171), (172), % 75.56/11.74 | | | | (198), (259) gives: % 75.56/11.74 | | | | (318) ? [v0: $i] : ? [v1: $i] : (multiplication(all_22_9, all_79_0) % 75.56/11.74 | | | | = v1 & multiplication(all_22_9, all_79_1) = v0 & addition(v0, % 75.56/11.74 | | | | v1) = all_89_0 & $i(v1) & $i(v0) & $i(all_89_0)) % 75.56/11.74 | | | | % 75.56/11.74 | | | | GROUND_INST: instantiating (8) with all_22_9, all_75_1, all_99_0, % 75.56/11.74 | | | | all_36_0, all_101_0, simplifying with (25), (224), (233), % 75.56/11.74 | | | | (249), (255) gives: % 75.56/11.74 | | | | (319) ? [v0: $i] : ? [v1: $i] : (multiplication(all_22_9, all_99_0) % 75.56/11.74 | | | | = v1 & multiplication(all_22_9, all_75_1) = v0 & addition(v0, % 75.56/11.74 | | | | v1) = all_101_0 & $i(v1) & $i(v0) & $i(all_101_0)) % 75.56/11.74 | | | | % 75.56/11.74 | | | | GROUND_INST: instantiating (8) with all_22_9, all_75_1, all_75_0, % 75.56/11.74 | | | | all_36_0, all_101_0, simplifying with (25), (161), (162), % 75.56/11.74 | | | | (233), (255) gives: % 75.56/11.74 | | | | (320) ? [v0: $i] : ? [v1: $i] : (multiplication(all_22_9, all_75_0) % 75.56/11.74 | | | | = v1 & multiplication(all_22_9, all_75_1) = v0 & addition(v0, % 75.56/11.74 | | | | v1) = all_101_0 & $i(v1) & $i(v0) & $i(all_101_0)) % 75.56/11.74 | | | | % 75.56/11.74 | | | | GROUND_INST: instantiating (6) with all_22_8, all_79_1, simplifying with % 75.56/11.74 | | | | (26), (173) gives: % 75.56/11.74 | | | | (321) all_79_1 = all_22_8 % 75.56/11.74 | | | | % 75.56/11.74 | | | | GROUND_INST: instantiating (4) with all_22_8, all_22_4, all_22_8, % 75.56/11.74 | | | | all_36_0, all_87_0, simplifying with (26), (64), (101), % 75.56/11.74 | | | | (193) gives: % 75.56/11.75 | | | | (322) ? [v0: $i] : (multiplication(v0, all_22_8) = all_87_0 & % 75.56/11.75 | | | | multiplication(all_22_8, all_22_4) = v0 & $i(v0) & % 75.56/11.75 | | | | $i(all_87_0)) % 75.56/11.75 | | | | % 75.56/11.75 | | | | GROUND_INST: instantiating (8) with all_22_8, all_22_4, all_38_0, % 75.56/11.75 | | | | all_38_1, all_71_0, simplifying with (26), (66), (67), % 75.56/11.75 | | | | (101), (155) gives: % 75.56/11.75 | | | | (323) ? [v0: $i] : ? [v1: $i] : (multiplication(all_22_8, all_38_0) % 75.56/11.75 | | | | = v1 & multiplication(all_22_8, all_22_4) = v0 & addition(v0, % 75.56/11.75 | | | | v1) = all_71_0 & $i(v1) & $i(v0) & $i(all_71_0)) % 75.56/11.75 | | | | % 75.56/11.75 | | | | GROUND_INST: instantiating (8) with all_22_8, all_71_0, one, all_38_1, % 75.56/11.75 | | | | all_71_0, simplifying with (15), (26), (153), (154), (155) % 75.56/11.75 | | | | gives: % 75.56/11.75 | | | | (324) ? [v0: $i] : ? [v1: $i] : (multiplication(all_22_8, all_71_0) % 75.56/11.75 | | | | = v0 & multiplication(all_22_8, one) = v1 & addition(v0, v1) % 75.56/11.75 | | | | = all_71_0 & $i(v1) & $i(v0)) % 75.56/11.75 | | | | % 75.56/11.75 | | | | GROUND_INST: instantiating (8) with all_22_8, all_38_0, all_22_4, % 75.56/11.75 | | | | all_38_1, all_71_0, simplifying with (26), (66), (101), % 75.56/11.75 | | | | (108), (155) gives: % 75.56/11.75 | | | | (325) ? [v0: $i] : ? [v1: $i] : (multiplication(all_22_8, all_38_0) % 75.56/11.75 | | | | = v0 & multiplication(all_22_8, all_22_4) = v1 & addition(v0, % 75.56/11.75 | | | | v1) = all_71_0 & $i(v1) & $i(v0) & $i(all_71_0)) % 75.56/11.75 | | | | % 75.56/11.75 | | | | GROUND_INST: instantiating (8) with all_22_8, one, all_67_0, all_38_1, % 75.56/11.75 | | | | all_71_0, simplifying with (15), (26), (146), (155), (278) % 75.56/11.75 | | | | gives: % 75.56/11.75 | | | | (326) ? [v0: $i] : ? [v1: $i] : (multiplication(all_22_8, all_67_0) % 75.56/11.75 | | | | = v1 & multiplication(all_22_8, one) = v0 & addition(v0, v1) % 75.56/11.75 | | | | = all_71_0 & $i(v1) & $i(v0) & $i(all_71_0)) % 75.56/11.75 | | | | % 75.56/11.75 | | | | GROUND_INST: instantiating (8) with all_22_8, one, all_65_0, all_38_1, % 75.56/11.75 | | | | all_71_0, simplifying with (15), (26), (143), (155), (283) % 75.56/11.75 | | | | gives: % 75.56/11.75 | | | | (327) ? [v0: $i] : ? [v1: $i] : (multiplication(all_22_8, all_65_0) % 75.56/11.75 | | | | = v1 & multiplication(all_22_8, one) = v0 & addition(v0, v1) % 75.56/11.75 | | | | = all_71_0 & $i(v1) & $i(v0) & $i(all_71_0)) % 75.56/11.75 | | | | % 75.56/11.75 | | | | GROUND_INST: instantiating (6) with all_22_7, all_77_1, simplifying with % 75.56/11.75 | | | | (27), (168) gives: % 75.56/11.75 | | | | (328) all_77_1 = all_22_7 % 75.56/11.75 | | | | % 75.56/11.75 | | | | GROUND_INST: instantiating (4) with all_22_7, all_22_7, all_22_2, % 75.56/11.75 | | | | all_30_0, all_77_0, simplifying with (27), (52), (94), % 75.56/11.75 | | | | (169) gives: % 75.56/11.75 | | | | (329) ? [v0: $i] : (multiplication(v0, all_22_2) = all_77_0 & % 75.56/11.75 | | | | multiplication(all_22_7, all_22_7) = v0 & $i(v0) & % 75.56/11.75 | | | | $i(all_77_0)) % 75.56/11.75 | | | | % 75.56/11.75 | | | | GROUND_INST: instantiating (8) with all_22_7, all_77_1, all_97_0, % 75.56/11.75 | | | | all_30_0, all_77_0, simplifying with (27), (169), (218), % 75.56/11.75 | | | | (250), (256) gives: % 75.56/11.75 | | | | (330) ? [v0: $i] : ? [v1: $i] : (multiplication(all_22_7, all_97_0) % 75.56/11.75 | | | | = v1 & multiplication(all_22_7, all_77_1) = v0 & addition(v0, % 75.56/11.75 | | | | v1) = all_77_0 & $i(v1) & $i(v0) & $i(all_77_0)) % 75.56/11.75 | | | | % 75.56/11.75 | | | | GROUND_INST: instantiating (8) with all_22_7, all_77_1, all_77_0, % 75.56/11.75 | | | | all_30_0, all_77_0, simplifying with (27), (166), (167), % 75.56/11.75 | | | | (169), (256) gives: % 75.56/11.75 | | | | (331) ? [v0: $i] : ? [v1: $i] : (multiplication(all_22_7, all_77_0) % 75.56/11.75 | | | | = v1 & multiplication(all_22_7, all_77_1) = v0 & addition(v0, % 75.56/11.75 | | | | v1) = all_77_0 & $i(v1) & $i(v0)) % 75.56/11.75 | | | | % 75.56/11.75 | | | | GROUND_INST: instantiating (4) with all_22_7, all_22_2, all_22_7, % 75.56/11.75 | | | | all_32_0, all_97_0, simplifying with (27), (56), (94), % 75.56/11.75 | | | | (221) gives: % 75.56/11.75 | | | | (332) ? [v0: $i] : (multiplication(v0, all_22_7) = all_97_0 & % 75.56/11.75 | | | | multiplication(all_22_7, all_22_2) = v0 & $i(v0) & % 75.56/11.75 | | | | $i(all_97_0)) % 75.56/11.75 | | | | % 75.56/11.75 | | | | GROUND_INST: instantiating (8) with all_22_7, all_81_1, all_95_0, % 75.56/11.75 | | | | all_32_0, all_97_0, simplifying with (27), (212), (221), % 75.56/11.75 | | | | (251), (257) gives: % 75.56/11.75 | | | | (333) ? [v0: $i] : ? [v1: $i] : (multiplication(all_22_7, all_95_0) % 75.56/11.75 | | | | = v1 & multiplication(all_22_7, all_81_1) = v0 & addition(v0, % 75.56/11.75 | | | | v1) = all_97_0 & $i(v1) & $i(v0) & $i(all_97_0)) % 75.56/11.75 | | | | % 75.56/11.75 | | | | GROUND_INST: instantiating (8) with all_22_7, all_81_1, all_81_0, % 75.56/11.75 | | | | all_32_0, all_97_0, simplifying with (27), (176), (177), % 75.56/11.75 | | | | (221), (257) gives: % 75.56/11.75 | | | | (334) ? [v0: $i] : ? [v1: $i] : (multiplication(all_22_7, all_81_0) % 75.56/11.75 | | | | = v1 & multiplication(all_22_7, all_81_1) = v0 & addition(v0, % 75.56/11.75 | | | | v1) = all_97_0 & $i(v1) & $i(v0) & $i(all_97_0)) % 75.56/11.75 | | | | % 75.56/11.75 | | | | GROUND_INST: instantiating (8) with all_22_7, all_22_2, all_40_0, % 75.56/11.75 | | | | all_40_1, all_69_0, simplifying with (27), (71), (72), % 75.56/11.75 | | | | (94), (151) gives: % 75.56/11.75 | | | | (335) ? [v0: $i] : ? [v1: $i] : (multiplication(all_22_7, all_40_0) % 75.56/11.75 | | | | = v1 & multiplication(all_22_7, all_22_2) = v0 & addition(v0, % 75.56/11.75 | | | | v1) = all_69_0 & $i(v1) & $i(v0) & $i(all_69_0)) % 75.56/11.75 | | | | % 75.56/11.75 | | | | GROUND_INST: instantiating (8) with all_22_7, all_69_0, one, all_40_1, % 75.56/11.75 | | | | all_69_0, simplifying with (15), (27), (149), (150), (151) % 75.56/11.75 | | | | gives: % 75.56/11.75 | | | | (336) ? [v0: $i] : ? [v1: $i] : (multiplication(all_22_7, all_69_0) % 75.56/11.75 | | | | = v0 & multiplication(all_22_7, one) = v1 & addition(v0, v1) % 75.56/11.75 | | | | = all_69_0 & $i(v1) & $i(v0)) % 75.56/11.75 | | | | % 75.56/11.75 | | | | GROUND_INST: instantiating (8) with all_22_7, all_40_0, all_22_2, % 75.56/11.75 | | | | all_40_1, all_69_0, simplifying with (27), (71), (94), % 75.56/11.75 | | | | (114), (151) gives: % 75.56/11.75 | | | | (337) ? [v0: $i] : ? [v1: $i] : (multiplication(all_22_7, all_40_0) % 75.56/11.75 | | | | = v0 & multiplication(all_22_7, all_22_2) = v1 & addition(v0, % 75.56/11.75 | | | | v1) = all_69_0 & $i(v1) & $i(v0) & $i(all_69_0)) % 75.56/11.75 | | | | % 75.56/11.75 | | | | GROUND_INST: instantiating (8) with all_22_7, one, all_63_0, all_40_1, % 75.56/11.75 | | | | all_69_0, simplifying with (15), (27), (140), (151), (273) % 75.56/11.75 | | | | gives: % 75.56/11.75 | | | | (338) ? [v0: $i] : ? [v1: $i] : (multiplication(all_22_7, all_63_0) % 75.56/11.75 | | | | = v1 & multiplication(all_22_7, one) = v0 & addition(v0, v1) % 75.56/11.75 | | | | = all_69_0 & $i(v1) & $i(v0) & $i(all_69_0)) % 75.56/11.75 | | | | % 75.56/11.75 | | | | GROUND_INST: instantiating (8) with all_22_7, one, all_61_0, all_40_1, % 75.56/11.75 | | | | all_69_0, simplifying with (15), (27), (137), (151), (268) % 75.56/11.75 | | | | gives: % 75.56/11.75 | | | | (339) ? [v0: $i] : ? [v1: $i] : (multiplication(all_22_7, all_61_0) % 75.56/11.75 | | | | = v1 & multiplication(all_22_7, one) = v0 & addition(v0, v1) % 75.56/11.75 | | | | = all_69_0 & $i(v1) & $i(v0) & $i(all_69_0)) % 75.56/11.75 | | | | % 75.56/11.75 | | | | GROUND_INST: instantiating (10) with one, all_32_0, all_22_6, all_22_2, % 75.56/11.75 | | | | all_51_2, simplifying with (15), (28), (54), (55), (247) % 75.56/11.75 | | | | gives: % 75.56/11.75 | | | | (340) ? [v0: $i] : ? [v1: $i] : (multiplication(all_32_0, all_22_6) % 75.56/11.75 | | | | = v1 & multiplication(one, all_22_6) = v0 & addition(v0, v1) % 75.56/11.75 | | | | = all_51_2 & $i(v1) & $i(v0) & $i(all_51_2)) % 75.56/11.75 | | | | % 75.56/11.75 | | | | GROUND_INST: instantiating (10) with one, all_30_0, all_22_6, all_22_2, % 75.56/11.75 | | | | all_51_2, simplifying with (15), (28), (50), (51), (247) % 75.56/11.75 | | | | gives: % 75.56/11.75 | | | | (341) ? [v0: $i] : ? [v1: $i] : (multiplication(all_30_0, all_22_6) % 75.56/11.75 | | | | = v1 & multiplication(one, all_22_6) = v0 & addition(v0, v1) % 75.56/11.75 | | | | = all_51_2 & $i(v1) & $i(v0) & $i(all_51_2)) % 75.56/11.75 | | | | % 75.56/11.75 | | | | GROUND_INST: instantiating (10) with all_32_0, one, all_22_6, all_22_2, % 75.56/11.75 | | | | all_51_2, simplifying with (15), (28), (54), (95), (247) % 75.56/11.75 | | | | gives: % 75.56/11.75 | | | | (342) ? [v0: $i] : ? [v1: $i] : (multiplication(all_32_0, all_22_6) % 75.56/11.75 | | | | = v0 & multiplication(one, all_22_6) = v1 & addition(v0, v1) % 75.56/11.75 | | | | = all_51_2 & $i(v1) & $i(v0) & $i(all_51_2)) % 75.56/11.75 | | | | % 75.56/11.76 | | | | GROUND_INST: instantiating (10) with all_30_0, one, all_22_6, all_22_2, % 75.56/11.76 | | | | all_51_2, simplifying with (15), (28), (50), (91), (247) % 75.56/11.76 | | | | gives: % 75.56/11.76 | | | | (343) ? [v0: $i] : ? [v1: $i] : (multiplication(all_30_0, all_22_6) % 75.56/11.76 | | | | = v0 & multiplication(one, all_22_6) = v1 & addition(v0, v1) % 75.56/11.76 | | | | = all_51_2 & $i(v1) & $i(v0) & $i(all_51_2)) % 75.56/11.76 | | | | % 75.56/11.76 | | | | GROUND_INST: instantiating (10) with all_77_1, all_97_0, all_22_9, % 75.56/11.76 | | | | all_30_0, all_93_0, simplifying with (25), (209), (218), % 75.56/11.76 | | | | (250), (256) gives: % 75.56/11.76 | | | | (344) ? [v0: $i] : ? [v1: $i] : (multiplication(all_97_0, all_22_9) % 75.56/11.76 | | | | = v1 & multiplication(all_77_1, all_22_9) = v0 & addition(v0, % 75.56/11.76 | | | | v1) = all_93_0 & $i(v1) & $i(v0) & $i(all_93_0)) % 75.56/11.76 | | | | % 75.56/11.76 | | | | GROUND_INST: instantiating (10) with all_77_1, all_77_0, all_22_9, % 75.56/11.76 | | | | all_30_0, all_93_0, simplifying with (25), (166), (167), % 75.56/11.76 | | | | (209), (256) gives: % 75.56/11.76 | | | | (345) ? [v0: $i] : ? [v1: $i] : (multiplication(all_77_0, all_22_9) % 75.56/11.76 | | | | = v1 & multiplication(all_77_1, all_22_9) = v0 & addition(v0, % 75.56/11.76 | | | | v1) = all_93_0 & $i(v1) & $i(v0) & $i(all_93_0)) % 75.56/11.76 | | | | % 75.56/11.76 | | | | GROUND_INST: instantiating (10) with all_77_1, all_97_0, all_22_7, % 75.56/11.76 | | | | all_30_0, all_95_0, simplifying with (27), (215), (218), % 75.56/11.76 | | | | (250), (256) gives: % 75.56/11.76 | | | | (346) ? [v0: $i] : ? [v1: $i] : (multiplication(all_97_0, all_22_7) % 75.56/11.76 | | | | = v1 & multiplication(all_77_1, all_22_7) = v0 & addition(v0, % 75.56/11.76 | | | | v1) = all_95_0 & $i(v1) & $i(v0) & $i(all_95_0)) % 75.56/11.76 | | | | % 75.56/11.76 | | | | GROUND_INST: instantiating (10) with all_77_1, all_77_0, all_22_7, % 75.56/11.76 | | | | all_30_0, all_95_0, simplifying with (27), (166), (167), % 75.56/11.76 | | | | (215), (256) gives: % 75.56/11.76 | | | | (347) ? [v0: $i] : ? [v1: $i] : (multiplication(all_77_0, all_22_7) % 75.56/11.76 | | | | = v1 & multiplication(all_77_1, all_22_7) = v0 & addition(v0, % 75.56/11.76 | | | | v1) = all_95_0 & $i(v1) & $i(v0) & $i(all_95_0)) % 75.56/11.76 | | | | % 75.56/11.76 | | | | GROUND_INST: instantiating (5) with all_22_2, all_22_7, all_22_9, % 75.56/11.76 | | | | all_32_0, all_91_0, simplifying with (25), (27), (56), % 75.56/11.76 | | | | (94), (203) gives: % 75.56/11.76 | | | | (348) ? [v0: $i] : (multiplication(all_22_2, v0) = all_91_0 & % 75.56/11.76 | | | | multiplication(all_22_7, all_22_9) = v0 & $i(v0) & % 75.56/11.76 | | | | $i(all_91_0)) % 75.56/11.76 | | | | % 75.56/11.76 | | | | GROUND_INST: instantiating (10) with all_81_1, all_95_0, all_22_9, % 75.56/11.76 | | | | all_32_0, all_91_0, simplifying with (25), (203), (212), % 75.56/11.76 | | | | (251), (257) gives: % 75.56/11.76 | | | | (349) ? [v0: $i] : ? [v1: $i] : (multiplication(all_95_0, all_22_9) % 75.56/11.76 | | | | = v1 & multiplication(all_81_1, all_22_9) = v0 & addition(v0, % 75.56/11.76 | | | | v1) = all_91_0 & $i(v1) & $i(v0) & $i(all_91_0)) % 75.56/11.76 | | | | % 75.56/11.76 | | | | GROUND_INST: instantiating (10) with all_81_1, all_81_0, all_22_9, % 75.56/11.76 | | | | all_32_0, all_91_0, simplifying with (25), (176), (177), % 75.56/11.76 | | | | (203), (257) gives: % 75.56/11.76 | | | | (350) ? [v0: $i] : ? [v1: $i] : (multiplication(all_81_0, all_22_9) % 75.56/11.76 | | | | = v1 & multiplication(all_81_1, all_22_9) = v0 & addition(v0, % 75.56/11.76 | | | | v1) = all_91_0 & $i(v1) & $i(v0) & $i(all_91_0)) % 75.56/11.76 | | | | % 75.56/11.76 | | | | GROUND_INST: instantiating (5) with all_22_2, all_22_7, all_22_7, % 75.56/11.76 | | | | all_32_0, all_81_0, simplifying with (27), (56), (94), % 75.56/11.76 | | | | (179) gives: % 75.56/11.76 | | | | (351) ? [v0: $i] : (multiplication(all_22_2, v0) = all_81_0 & % 75.56/11.76 | | | | multiplication(all_22_7, all_22_7) = v0 & $i(v0) & % 75.56/11.76 | | | | $i(all_81_0)) % 75.56/11.76 | | | | % 75.56/11.76 | | | | GROUND_INST: instantiating (10) with all_81_1, all_95_0, all_22_7, % 75.56/11.76 | | | | all_32_0, all_81_0, simplifying with (27), (179), (212), % 75.56/11.76 | | | | (251), (257) gives: % 75.56/11.76 | | | | (352) ? [v0: $i] : ? [v1: $i] : (multiplication(all_95_0, all_22_7) % 75.56/11.76 | | | | = v1 & multiplication(all_81_1, all_22_7) = v0 & addition(v0, % 75.56/11.76 | | | | v1) = all_81_0 & $i(v1) & $i(v0) & $i(all_81_0)) % 75.56/11.76 | | | | % 75.56/11.76 | | | | GROUND_INST: instantiating (10) with all_81_1, all_81_0, all_22_7, % 75.56/11.76 | | | | all_32_0, all_81_0, simplifying with (27), (176), (177), % 75.56/11.76 | | | | (179), (257) gives: % 75.56/11.76 | | | | (353) ? [v0: $i] : ? [v1: $i] : (multiplication(all_81_0, all_22_7) % 75.56/11.76 | | | | = v1 & multiplication(all_81_1, all_22_7) = v0 & addition(v0, % 75.56/11.76 | | | | v1) = all_81_0 & $i(v1) & $i(v0)) % 75.56/11.76 | | | | % 75.56/11.76 | | | | GROUND_INST: instantiating (5) with all_22_8, all_22_4, all_22_8, % 75.56/11.76 | | | | all_34_0, all_99_0, simplifying with (26), (60), (101), % 75.56/11.76 | | | | (227) gives: % 75.56/11.76 | | | | (354) ? [v0: $i] : (multiplication(all_22_4, all_22_8) = v0 & % 75.56/11.76 | | | | multiplication(all_22_8, v0) = all_99_0 & $i(v0) & % 75.56/11.76 | | | | $i(all_99_0)) % 75.56/11.76 | | | | % 75.56/11.76 | | | | DELTA: instantiating (288) with fresh symbol all_127_0 gives: % 75.56/11.76 | | | | (355) addition(all_127_0, all_22_5) = all_22_5 & addition(all_59_0, % 75.56/11.76 | | | | all_59_0) = all_127_0 & $i(all_127_0) % 75.56/11.76 | | | | % 75.56/11.76 | | | | ALPHA: (355) implies: % 75.56/11.76 | | | | (356) $i(all_127_0) % 75.56/11.76 | | | | (357) addition(all_59_0, all_59_0) = all_127_0 % 75.56/11.76 | | | | (358) addition(all_127_0, all_22_5) = all_22_5 % 75.56/11.76 | | | | % 75.56/11.76 | | | | DELTA: instantiating (263) with fresh symbol all_129_0 gives: % 75.56/11.76 | | | | (359) addition(all_22_5, all_129_0) = all_22_5 & addition(all_22_6, % 75.56/11.76 | | | | all_22_6) = all_129_0 & $i(all_129_0) % 75.56/11.76 | | | | % 75.56/11.76 | | | | ALPHA: (359) implies: % 75.56/11.76 | | | | (360) addition(all_22_6, all_22_6) = all_129_0 % 75.56/11.76 | | | | (361) addition(all_22_5, all_129_0) = all_22_5 % 75.56/11.76 | | | | % 75.56/11.76 | | | | DELTA: instantiating (287) with fresh symbol all_131_0 gives: % 75.56/11.76 | | | | (362) addition(all_131_0, all_22_5) = all_22_5 & addition(all_22_6, % 75.56/11.76 | | | | all_59_0) = all_131_0 & $i(all_131_0) % 75.56/11.76 | | | | % 75.56/11.76 | | | | ALPHA: (362) implies: % 75.56/11.76 | | | | (363) addition(all_22_6, all_59_0) = all_131_0 % 75.56/11.76 | | | | % 75.56/11.76 | | | | DELTA: instantiating (286) with fresh symbol all_133_0 gives: % 75.56/11.76 | | | | (364) addition(all_133_0, all_22_5) = all_22_5 & addition(all_59_0, % 75.56/11.76 | | | | all_22_6) = all_133_0 & $i(all_133_0) % 75.56/11.76 | | | | % 75.56/11.76 | | | | ALPHA: (364) implies: % 75.56/11.76 | | | | (365) addition(all_59_0, all_22_6) = all_133_0 % 75.56/11.76 | | | | % 75.56/11.76 | | | | DELTA: instantiating (354) with fresh symbol all_145_0 gives: % 75.56/11.76 | | | | (366) multiplication(all_22_4, all_22_8) = all_145_0 & % 75.56/11.76 | | | | multiplication(all_22_8, all_145_0) = all_99_0 & $i(all_145_0) % 75.56/11.76 | | | | & $i(all_99_0) % 75.56/11.76 | | | | % 75.56/11.76 | | | | ALPHA: (366) implies: % 75.56/11.76 | | | | (367) multiplication(all_22_8, all_145_0) = all_99_0 % 75.56/11.76 | | | | (368) multiplication(all_22_4, all_22_8) = all_145_0 % 75.56/11.76 | | | | % 75.56/11.76 | | | | DELTA: instantiating (307) with fresh symbol all_147_0 gives: % 75.56/11.76 | | | | (369) addition(all_91_0, all_22_3) = all_147_0 & addition(all_91_1, % 75.56/11.76 | | | | all_147_0) = all_46_0 & $i(all_147_0) & $i(all_46_0) % 75.56/11.76 | | | | % 75.56/11.76 | | | | ALPHA: (369) implies: % 75.56/11.76 | | | | (370) addition(all_91_0, all_22_3) = all_147_0 % 75.56/11.76 | | | | % 75.56/11.76 | | | | DELTA: instantiating (302) with fresh symbol all_149_0 gives: % 75.56/11.76 | | | | (371) addition(all_149_0, all_101_0) = all_46_0 & addition(all_22_1, % 75.56/11.76 | | | | all_89_1) = all_149_0 & $i(all_149_0) & $i(all_46_0) % 75.56/11.76 | | | | % 75.56/11.76 | | | | ALPHA: (371) implies: % 75.56/11.76 | | | | (372) addition(all_22_1, all_89_1) = all_149_0 % 75.56/11.76 | | | | % 75.56/11.76 | | | | DELTA: instantiating (351) with fresh symbol all_161_0 gives: % 75.56/11.76 | | | | (373) multiplication(all_22_2, all_161_0) = all_81_0 & % 75.56/11.76 | | | | multiplication(all_22_7, all_22_7) = all_161_0 & $i(all_161_0) % 75.56/11.76 | | | | & $i(all_81_0) % 75.56/11.76 | | | | % 75.56/11.76 | | | | ALPHA: (373) implies: % 75.56/11.76 | | | | (374) multiplication(all_22_7, all_22_7) = all_161_0 % 75.56/11.76 | | | | % 75.56/11.76 | | | | DELTA: instantiating (332) with fresh symbol all_163_0 gives: % 75.56/11.76 | | | | (375) multiplication(all_163_0, all_22_7) = all_97_0 & % 75.56/11.76 | | | | multiplication(all_22_7, all_22_2) = all_163_0 & $i(all_163_0) % 75.56/11.76 | | | | & $i(all_97_0) % 75.56/11.76 | | | | % 75.56/11.76 | | | | ALPHA: (375) implies: % 75.56/11.76 | | | | (376) multiplication(all_22_7, all_22_2) = all_163_0 % 75.56/11.76 | | | | (377) multiplication(all_163_0, all_22_7) = all_97_0 % 75.56/11.76 | | | | % 75.56/11.76 | | | | DELTA: instantiating (348) with fresh symbol all_173_0 gives: % 75.56/11.77 | | | | (378) multiplication(all_22_2, all_173_0) = all_91_0 & % 75.56/11.77 | | | | multiplication(all_22_7, all_22_9) = all_173_0 & $i(all_173_0) % 75.56/11.77 | | | | & $i(all_91_0) % 75.56/11.77 | | | | % 75.56/11.77 | | | | ALPHA: (378) implies: % 75.56/11.77 | | | | (379) $i(all_173_0) % 75.56/11.77 | | | | (380) multiplication(all_22_7, all_22_9) = all_173_0 % 76.17/11.77 | | | | (381) multiplication(all_22_2, all_173_0) = all_91_0 % 76.17/11.77 | | | | % 76.17/11.77 | | | | DELTA: instantiating (311) with fresh symbol all_187_0 gives: % 76.17/11.77 | | | | (382) addition(all_93_0, all_22_3) = all_187_0 & addition(all_91_1, % 76.17/11.77 | | | | all_187_0) = all_46_0 & $i(all_187_0) & $i(all_46_0) % 76.17/11.77 | | | | % 76.17/11.77 | | | | ALPHA: (382) implies: % 76.17/11.77 | | | | (383) addition(all_93_0, all_22_3) = all_187_0 % 76.17/11.77 | | | | % 76.17/11.77 | | | | DELTA: instantiating (310) with fresh symbol all_191_0 gives: % 76.17/11.77 | | | | (384) addition(all_191_0, all_93_0) = all_115_0 & addition(all_51_1, % 76.17/11.77 | | | | all_91_1) = all_191_0 & $i(all_191_0) & $i(all_115_0) % 76.17/11.77 | | | | % 76.17/11.77 | | | | ALPHA: (384) implies: % 76.17/11.77 | | | | (385) addition(all_51_1, all_91_1) = all_191_0 % 76.17/11.77 | | | | (386) addition(all_191_0, all_93_0) = all_115_0 % 76.17/11.77 | | | | % 76.17/11.77 | | | | DELTA: instantiating (309) with fresh symbol all_199_0 gives: % 76.17/11.77 | | | | (387) addition(all_199_0, all_93_0) = all_46_0 & addition(all_22_3, % 76.17/11.77 | | | | all_91_1) = all_199_0 & $i(all_199_0) & $i(all_46_0) % 76.17/11.77 | | | | % 76.17/11.77 | | | | ALPHA: (387) implies: % 76.17/11.77 | | | | (388) addition(all_22_3, all_91_1) = all_199_0 % 76.17/11.77 | | | | % 76.17/11.77 | | | | DELTA: instantiating (295) with fresh symbol all_201_0 gives: % 76.17/11.77 | | | | (389) addition(all_81_0, one) = all_201_0 & addition(all_81_1, % 76.17/11.77 | | | | all_201_0) = all_22_2 & $i(all_201_0) & $i(all_22_2) % 76.17/11.77 | | | | % 76.17/11.77 | | | | ALPHA: (389) implies: % 76.17/11.77 | | | | (390) addition(all_81_0, one) = all_201_0 % 76.17/11.77 | | | | % 76.17/11.77 | | | | DELTA: instantiating (290) with fresh symbol all_205_0 gives: % 76.17/11.77 | | | | (391) addition(all_77_0, one) = all_205_0 & addition(all_77_1, % 76.17/11.77 | | | | all_205_0) = all_22_2 & $i(all_205_0) & $i(all_22_2) % 76.17/11.77 | | | | % 76.17/11.77 | | | | ALPHA: (391) implies: % 76.17/11.77 | | | | (392) $i(all_205_0) % 76.17/11.77 | | | | (393) addition(all_77_1, all_205_0) = all_22_2 % 76.17/11.77 | | | | (394) addition(all_77_0, one) = all_205_0 % 76.17/11.77 | | | | % 76.17/11.77 | | | | DELTA: instantiating (289) with fresh symbol all_217_0 gives: % 76.17/11.77 | | | | (395) addition(all_217_0, all_77_0) = all_22_2 & addition(one, % 76.17/11.77 | | | | all_77_1) = all_217_0 & $i(all_217_0) & $i(all_22_2) % 76.17/11.77 | | | | % 76.17/11.77 | | | | ALPHA: (395) implies: % 76.17/11.77 | | | | (396) addition(one, all_77_1) = all_217_0 % 76.17/11.77 | | | | % 76.17/11.77 | | | | DELTA: instantiating (261) with fresh symbol all_221_0 gives: % 76.17/11.77 | | | | (397) multiplication(all_22_9, all_221_0) = all_59_0 & % 76.17/11.77 | | | | addition(all_22_8, all_22_8) = all_221_0 & $i(all_221_0) & % 76.17/11.77 | | | | $i(all_59_0) % 76.17/11.77 | | | | % 76.17/11.77 | | | | ALPHA: (397) implies: % 76.17/11.77 | | | | (398) $i(all_221_0) % 76.17/11.77 | | | | (399) multiplication(all_22_9, all_221_0) = all_59_0 % 76.17/11.77 | | | | % 76.17/11.77 | | | | DELTA: instantiating (260) with fresh symbol all_223_0 gives: % 76.17/11.77 | | | | (400) multiplication(all_223_0, all_22_8) = all_59_0 & % 76.17/11.77 | | | | addition(all_22_9, all_22_9) = all_223_0 & $i(all_223_0) & % 76.17/11.77 | | | | $i(all_59_0) % 76.17/11.77 | | | | % 76.17/11.77 | | | | ALPHA: (400) implies: % 76.17/11.77 | | | | (401) $i(all_223_0) % 76.17/11.77 | | | | (402) addition(all_22_9, all_22_9) = all_223_0 % 76.17/11.77 | | | | (403) multiplication(all_223_0, all_22_8) = all_59_0 % 76.17/11.77 | | | | % 76.17/11.77 | | | | DELTA: instantiating (329) with fresh symbol all_227_0 gives: % 76.17/11.77 | | | | (404) multiplication(all_227_0, all_22_2) = all_77_0 & % 76.17/11.77 | | | | multiplication(all_22_7, all_22_7) = all_227_0 & $i(all_227_0) % 76.17/11.77 | | | | & $i(all_77_0) % 76.17/11.77 | | | | % 76.17/11.77 | | | | ALPHA: (404) implies: % 76.17/11.77 | | | | (405) $i(all_227_0) % 76.17/11.77 | | | | (406) multiplication(all_22_7, all_22_7) = all_227_0 % 76.17/11.77 | | | | % 76.17/11.77 | | | | DELTA: instantiating (292) with fresh symbol all_229_0 gives: % 76.17/11.77 | | | | (407) addition(all_97_0, one) = all_229_0 & addition(all_77_1, % 76.17/11.77 | | | | all_229_0) = all_22_2 & $i(all_229_0) & $i(all_22_2) % 76.17/11.77 | | | | % 76.17/11.77 | | | | ALPHA: (407) implies: % 76.17/11.77 | | | | (408) addition(all_97_0, one) = all_229_0 % 76.17/11.77 | | | | % 76.17/11.77 | | | | DELTA: instantiating (291) with fresh symbol all_233_0 gives: % 76.17/11.77 | | | | (409) addition(all_233_0, all_97_0) = all_22_2 & addition(one, % 76.17/11.77 | | | | all_77_1) = all_233_0 & $i(all_233_0) & $i(all_22_2) % 76.17/11.77 | | | | % 76.17/11.77 | | | | ALPHA: (409) implies: % 76.17/11.77 | | | | (410) addition(one, all_77_1) = all_233_0 % 76.17/11.77 | | | | % 76.17/11.77 | | | | DELTA: instantiating (322) with fresh symbol all_241_0 gives: % 76.17/11.77 | | | | (411) multiplication(all_241_0, all_22_8) = all_87_0 & % 76.17/11.77 | | | | multiplication(all_22_8, all_22_4) = all_241_0 & $i(all_241_0) % 76.17/11.77 | | | | & $i(all_87_0) % 76.17/11.77 | | | | % 76.17/11.77 | | | | ALPHA: (411) implies: % 76.17/11.77 | | | | (412) multiplication(all_22_8, all_22_4) = all_241_0 % 76.17/11.77 | | | | (413) multiplication(all_241_0, all_22_8) = all_87_0 % 76.17/11.77 | | | | % 76.17/11.77 | | | | DELTA: instantiating (316) with fresh symbol all_243_0 gives: % 76.17/11.77 | | | | (414) multiplication(all_243_0, all_22_4) = all_89_0 & % 76.17/11.77 | | | | multiplication(all_22_9, all_22_8) = all_243_0 & $i(all_243_0) % 76.17/11.77 | | | | & $i(all_89_0) % 76.17/11.77 | | | | % 76.17/11.77 | | | | ALPHA: (414) implies: % 76.17/11.77 | | | | (415) multiplication(all_22_9, all_22_8) = all_243_0 % 76.17/11.77 | | | | % 76.17/11.77 | | | | DELTA: instantiating (306) with fresh symbol all_249_0 gives: % 76.17/11.77 | | | | (416) addition(all_249_0, all_91_0) = all_115_0 & addition(all_51_1, % 76.17/11.77 | | | | all_91_1) = all_249_0 & $i(all_249_0) & $i(all_115_0) % 76.17/11.77 | | | | % 76.17/11.77 | | | | ALPHA: (416) implies: % 76.17/11.77 | | | | (417) addition(all_51_1, all_91_1) = all_249_0 % 76.17/11.77 | | | | % 76.17/11.77 | | | | DELTA: instantiating (301) with fresh symbol all_251_0 gives: % 76.17/11.77 | | | | (418) addition(all_251_0, all_89_0) = all_46_0 & addition(all_22_1, % 76.17/11.77 | | | | all_89_1) = all_251_0 & $i(all_251_0) & $i(all_46_0) % 76.17/11.77 | | | | % 76.17/11.77 | | | | ALPHA: (418) implies: % 76.17/11.77 | | | | (419) addition(all_22_1, all_89_1) = all_251_0 % 76.17/11.77 | | | | % 76.17/11.77 | | | | DELTA: instantiating (285) with fresh symbol all_253_0 gives: % 76.17/11.77 | | | | (420) addition(all_51_2, all_22_1) = all_253_0 & addition(all_22_9, % 76.17/11.77 | | | | all_253_0) = all_115_0 & $i(all_253_0) & $i(all_115_0) % 76.17/11.77 | | | | % 76.17/11.77 | | | | ALPHA: (420) implies: % 76.17/11.77 | | | | (421) addition(all_51_2, all_22_1) = all_253_0 % 76.17/11.77 | | | | % 76.17/11.77 | | | | DELTA: instantiating (284) with fresh symbol all_255_0 gives: % 76.17/11.77 | | | | (422) addition(all_51_2, all_255_0) = all_115_0 & addition(all_22_9, % 76.17/11.77 | | | | all_22_1) = all_255_0 & $i(all_255_0) & $i(all_115_0) % 76.17/11.77 | | | | % 76.17/11.77 | | | | ALPHA: (422) implies: % 76.17/11.77 | | | | (423) addition(all_22_9, all_22_1) = all_255_0 % 76.17/11.77 | | | | % 76.17/11.77 | | | | DELTA: instantiating (297) with fresh symbol all_257_0 gives: % 76.17/11.77 | | | | (424) addition(all_95_0, one) = all_257_0 & addition(all_81_1, % 76.17/11.77 | | | | all_257_0) = all_22_2 & $i(all_257_0) & $i(all_22_2) % 76.17/11.77 | | | | % 76.17/11.77 | | | | ALPHA: (424) implies: % 76.17/11.77 | | | | (425) addition(all_95_0, one) = all_257_0 % 76.17/11.77 | | | | % 76.17/11.77 | | | | DELTA: instantiating (296) with fresh symbol all_261_0 gives: % 76.17/11.78 | | | | (426) addition(all_261_0, all_95_0) = all_22_2 & addition(one, % 76.17/11.78 | | | | all_81_1) = all_261_0 & $i(all_261_0) & $i(all_22_2) % 76.17/11.78 | | | | % 76.17/11.78 | | | | ALPHA: (426) implies: % 76.17/11.78 | | | | (427) addition(one, all_81_1) = all_261_0 % 76.17/11.78 | | | | % 76.17/11.78 | | | | DELTA: instantiating (305) with fresh symbol all_265_0 gives: % 76.17/11.78 | | | | (428) addition(all_265_0, all_91_0) = all_46_0 & addition(all_22_3, % 76.17/11.78 | | | | all_91_1) = all_265_0 & $i(all_265_0) & $i(all_46_0) % 76.17/11.78 | | | | % 76.17/11.78 | | | | ALPHA: (428) implies: % 76.17/11.78 | | | | (429) addition(all_22_3, all_91_1) = all_265_0 % 76.17/11.78 | | | | % 76.17/11.78 | | | | DELTA: instantiating (294) with fresh symbol all_275_0 gives: % 76.17/11.78 | | | | (430) addition(all_275_0, all_81_0) = all_22_2 & addition(one, % 76.17/11.78 | | | | all_81_1) = all_275_0 & $i(all_275_0) & $i(all_22_2) % 76.17/11.78 | | | | % 76.17/11.78 | | | | ALPHA: (430) implies: % 76.17/11.78 | | | | (431) addition(one, all_81_1) = all_275_0 % 76.17/11.78 | | | | (432) addition(all_275_0, all_81_0) = all_22_2 % 76.17/11.78 | | | | % 76.17/11.78 | | | | DELTA: instantiating (353) with fresh symbols all_279_0, all_279_1 % 76.17/11.78 | | | | gives: % 76.17/11.78 | | | | (433) multiplication(all_81_0, all_22_7) = all_279_0 & % 76.17/11.78 | | | | multiplication(all_81_1, all_22_7) = all_279_1 & % 76.17/11.78 | | | | addition(all_279_1, all_279_0) = all_81_0 & $i(all_279_0) & % 76.17/11.78 | | | | $i(all_279_1) % 76.17/11.78 | | | | % 76.17/11.78 | | | | ALPHA: (433) implies: % 76.17/11.78 | | | | (434) multiplication(all_81_1, all_22_7) = all_279_1 % 76.17/11.78 | | | | % 76.17/11.78 | | | | DELTA: instantiating (275) with fresh symbols all_281_0, all_281_1 % 76.17/11.78 | | | | gives: % 76.17/11.78 | | | | (435) multiplication(all_22_8, all_34_0) = all_281_1 & % 76.17/11.78 | | | | multiplication(all_22_8, one) = all_281_0 & addition(all_281_1, % 76.17/11.78 | | | | all_281_0) = all_34_0 & $i(all_281_0) & $i(all_281_1) % 76.17/11.78 | | | | % 76.17/11.78 | | | | ALPHA: (435) implies: % 76.17/11.78 | | | | (436) $i(all_281_0) % 76.17/11.78 | | | | (437) multiplication(all_22_8, one) = all_281_0 % 76.17/11.78 | | | | (438) multiplication(all_22_8, all_34_0) = all_281_1 % 76.17/11.78 | | | | % 76.17/11.78 | | | | DELTA: instantiating (269) with fresh symbols all_289_0, all_289_1 % 76.17/11.78 | | | | gives: % 76.17/11.78 | | | | (439) multiplication(all_32_0, all_22_7) = all_289_1 & % 76.17/11.78 | | | | multiplication(one, all_22_7) = all_289_0 & addition(all_289_1, % 76.17/11.78 | | | | all_289_0) = all_32_0 & $i(all_289_0) & $i(all_289_1) % 76.17/11.78 | | | | % 76.17/11.78 | | | | ALPHA: (439) implies: % 76.17/11.78 | | | | (440) $i(all_289_0) % 76.17/11.78 | | | | (441) multiplication(one, all_22_7) = all_289_0 % 76.17/11.78 | | | | (442) multiplication(all_32_0, all_22_7) = all_289_1 % 76.17/11.78 | | | | % 76.17/11.78 | | | | DELTA: instantiating (331) with fresh symbols all_291_0, all_291_1 % 76.17/11.78 | | | | gives: % 76.17/11.78 | | | | (443) multiplication(all_22_7, all_77_0) = all_291_0 & % 76.17/11.78 | | | | multiplication(all_22_7, all_77_1) = all_291_1 & % 76.17/11.78 | | | | addition(all_291_1, all_291_0) = all_77_0 & $i(all_291_0) & % 76.17/11.78 | | | | $i(all_291_1) % 76.17/11.78 | | | | % 76.17/11.78 | | | | ALPHA: (443) implies: % 76.17/11.78 | | | | (444) multiplication(all_22_7, all_77_1) = all_291_1 % 76.17/11.78 | | | | (445) multiplication(all_22_7, all_77_0) = all_291_0 % 76.17/11.78 | | | | % 76.17/11.78 | | | | DELTA: instantiating (336) with fresh symbols all_293_0, all_293_1 % 76.17/11.78 | | | | gives: % 76.17/11.78 | | | | (446) multiplication(all_22_7, all_69_0) = all_293_1 & % 76.17/11.78 | | | | multiplication(all_22_7, one) = all_293_0 & addition(all_293_1, % 76.17/11.78 | | | | all_293_0) = all_69_0 & $i(all_293_0) & $i(all_293_1) % 76.17/11.78 | | | | % 76.17/11.78 | | | | ALPHA: (446) implies: % 76.17/11.78 | | | | (447) multiplication(all_22_7, one) = all_293_0 % 76.17/11.78 | | | | % 76.17/11.78 | | | | DELTA: instantiating (266) with fresh symbols all_297_0, all_297_1 % 76.17/11.78 | | | | gives: % 76.17/11.78 | | | | (448) multiplication(all_22_7, all_30_0) = all_297_1 & % 76.17/11.78 | | | | multiplication(all_22_7, one) = all_297_0 & addition(all_297_1, % 76.17/11.78 | | | | all_297_0) = all_30_0 & $i(all_297_0) & $i(all_297_1) % 76.17/11.78 | | | | % 76.17/11.78 | | | | ALPHA: (448) implies: % 76.17/11.78 | | | | (449) multiplication(all_22_7, one) = all_297_0 % 76.17/11.78 | | | | (450) multiplication(all_22_7, all_30_0) = all_297_1 % 76.17/11.78 | | | | % 76.17/11.78 | | | | DELTA: instantiating (279) with fresh symbols all_303_0, all_303_1 % 76.17/11.78 | | | | gives: % 76.17/11.78 | | | | (451) multiplication(all_36_0, all_22_8) = all_303_1 & % 76.17/11.78 | | | | multiplication(one, all_22_8) = all_303_0 & addition(all_303_1, % 76.17/11.78 | | | | all_303_0) = all_36_0 & $i(all_303_0) & $i(all_303_1) % 76.17/11.78 | | | | % 76.17/11.78 | | | | ALPHA: (451) implies: % 76.17/11.78 | | | | (452) multiplication(all_36_0, all_22_8) = all_303_1 % 76.17/11.78 | | | | % 76.17/11.78 | | | | DELTA: instantiating (324) with fresh symbols all_305_0, all_305_1 % 76.17/11.78 | | | | gives: % 76.17/11.78 | | | | (453) multiplication(all_22_8, all_71_0) = all_305_1 & % 76.17/11.78 | | | | multiplication(all_22_8, one) = all_305_0 & addition(all_305_1, % 76.17/11.78 | | | | all_305_0) = all_71_0 & $i(all_305_0) & $i(all_305_1) % 76.17/11.78 | | | | % 76.17/11.78 | | | | ALPHA: (453) implies: % 76.17/11.78 | | | | (454) multiplication(all_22_8, one) = all_305_0 % 76.17/11.78 | | | | % 76.17/11.78 | | | | DELTA: instantiating (274) with fresh symbols all_307_0, all_307_1 % 76.17/11.78 | | | | gives: % 76.17/11.78 | | | | (455) multiplication(all_34_0, all_22_8) = all_307_1 & % 76.17/11.78 | | | | multiplication(one, all_22_8) = all_307_0 & addition(all_307_1, % 76.17/11.78 | | | | all_307_0) = all_36_0 & $i(all_307_0) & $i(all_307_1) & % 76.17/11.78 | | | | $i(all_36_0) % 76.17/11.78 | | | | % 76.17/11.78 | | | | ALPHA: (455) implies: % 76.17/11.78 | | | | (456) addition(all_307_1, all_307_0) = all_36_0 % 76.17/11.78 | | | | (457) multiplication(one, all_22_8) = all_307_0 % 76.17/11.78 | | | | (458) multiplication(all_34_0, all_22_8) = all_307_1 % 76.17/11.78 | | | | % 76.17/11.78 | | | | DELTA: instantiating (347) with fresh symbols all_317_0, all_317_1 % 76.17/11.78 | | | | gives: % 76.17/11.78 | | | | (459) multiplication(all_77_0, all_22_7) = all_317_0 & % 76.17/11.78 | | | | multiplication(all_77_1, all_22_7) = all_317_1 & % 76.17/11.78 | | | | addition(all_317_1, all_317_0) = all_95_0 & $i(all_317_0) & % 76.17/11.78 | | | | $i(all_317_1) & $i(all_95_0) % 76.17/11.78 | | | | % 76.17/11.78 | | | | ALPHA: (459) implies: % 76.17/11.78 | | | | (460) multiplication(all_77_1, all_22_7) = all_317_1 % 76.17/11.78 | | | | % 76.17/11.78 | | | | DELTA: instantiating (346) with fresh symbols all_319_0, all_319_1 % 76.17/11.78 | | | | gives: % 76.17/11.78 | | | | (461) multiplication(all_97_0, all_22_7) = all_319_0 & % 76.17/11.78 | | | | multiplication(all_77_1, all_22_7) = all_319_1 & % 76.17/11.78 | | | | addition(all_319_1, all_319_0) = all_95_0 & $i(all_319_0) & % 76.17/11.78 | | | | $i(all_319_1) & $i(all_95_0) % 76.17/11.78 | | | | % 76.17/11.78 | | | | ALPHA: (461) implies: % 76.17/11.78 | | | | (462) multiplication(all_77_1, all_22_7) = all_319_1 % 76.17/11.78 | | | | % 76.17/11.78 | | | | DELTA: instantiating (308) with fresh symbols all_321_0, all_321_1 % 76.17/11.78 | | | | gives: % 76.17/11.78 | | | | (463) multiplication(all_93_0, all_22_8) = all_321_0 & % 76.17/11.78 | | | | multiplication(all_91_1, all_22_8) = all_321_1 & % 76.17/11.78 | | | | addition(all_321_1, all_321_0) = all_51_2 & $i(all_321_0) & % 76.17/11.78 | | | | $i(all_321_1) & $i(all_51_2) % 76.17/11.78 | | | | % 76.17/11.78 | | | | ALPHA: (463) implies: % 76.17/11.78 | | | | (464) multiplication(all_91_1, all_22_8) = all_321_1 % 76.17/11.78 | | | | (465) multiplication(all_93_0, all_22_8) = all_321_0 % 76.17/11.78 | | | | % 76.17/11.78 | | | | DELTA: instantiating (341) with fresh symbols all_323_0, all_323_1 % 76.17/11.78 | | | | gives: % 76.17/11.78 | | | | (466) multiplication(all_30_0, all_22_6) = all_323_0 & % 76.17/11.78 | | | | multiplication(one, all_22_6) = all_323_1 & addition(all_323_1, % 76.17/11.78 | | | | all_323_0) = all_51_2 & $i(all_323_0) & $i(all_323_1) & % 76.17/11.78 | | | | $i(all_51_2) % 76.17/11.78 | | | | % 76.17/11.78 | | | | ALPHA: (466) implies: % 76.17/11.78 | | | | (467) multiplication(all_30_0, all_22_6) = all_323_0 % 76.17/11.78 | | | | % 76.17/11.78 | | | | DELTA: instantiating (339) with fresh symbols all_327_0, all_327_1 % 76.17/11.78 | | | | gives: % 76.17/11.78 | | | | (468) multiplication(all_22_7, all_61_0) = all_327_0 & % 76.17/11.78 | | | | multiplication(all_22_7, one) = all_327_1 & addition(all_327_1, % 76.17/11.78 | | | | all_327_0) = all_69_0 & $i(all_327_0) & $i(all_327_1) & % 76.17/11.78 | | | | $i(all_69_0) % 76.17/11.78 | | | | % 76.17/11.78 | | | | ALPHA: (468) implies: % 76.17/11.78 | | | | (469) multiplication(all_22_7, one) = all_327_1 % 76.17/11.78 | | | | % 76.17/11.78 | | | | DELTA: instantiating (320) with fresh symbols all_331_0, all_331_1 % 76.17/11.78 | | | | gives: % 76.17/11.78 | | | | (470) multiplication(all_22_9, all_75_0) = all_331_0 & % 76.17/11.78 | | | | multiplication(all_22_9, all_75_1) = all_331_1 & % 76.17/11.78 | | | | addition(all_331_1, all_331_0) = all_101_0 & $i(all_331_0) & % 76.17/11.78 | | | | $i(all_331_1) & $i(all_101_0) % 76.17/11.78 | | | | % 76.17/11.78 | | | | ALPHA: (470) implies: % 76.17/11.78 | | | | (471) multiplication(all_22_9, all_75_1) = all_331_1 % 76.17/11.78 | | | | (472) multiplication(all_22_9, all_75_0) = all_331_0 % 76.17/11.78 | | | | % 76.17/11.78 | | | | DELTA: instantiating (335) with fresh symbols all_333_0, all_333_1 % 76.17/11.78 | | | | gives: % 76.17/11.78 | | | | (473) multiplication(all_22_7, all_40_0) = all_333_0 & % 76.17/11.78 | | | | multiplication(all_22_7, all_22_2) = all_333_1 & % 76.17/11.78 | | | | addition(all_333_1, all_333_0) = all_69_0 & $i(all_333_0) & % 76.17/11.78 | | | | $i(all_333_1) & $i(all_69_0) % 76.17/11.78 | | | | % 76.17/11.78 | | | | ALPHA: (473) implies: % 76.17/11.78 | | | | (474) multiplication(all_22_7, all_22_2) = all_333_1 % 76.17/11.78 | | | | % 76.17/11.78 | | | | DELTA: instantiating (271) with fresh symbols all_335_0, all_335_1 % 76.17/11.78 | | | | gives: % 76.17/11.78 | | | | (475) multiplication(all_22_7, all_32_0) = all_335_1 & % 76.17/11.78 | | | | multiplication(all_22_7, one) = all_335_0 & addition(all_335_1, % 76.17/11.78 | | | | all_335_0) = all_30_0 & $i(all_335_0) & $i(all_335_1) & % 76.17/11.78 | | | | $i(all_30_0) % 76.17/11.78 | | | | % 76.17/11.78 | | | | ALPHA: (475) implies: % 76.17/11.78 | | | | (476) addition(all_335_1, all_335_0) = all_30_0 % 76.17/11.78 | | | | (477) multiplication(all_22_7, one) = all_335_0 % 76.17/11.78 | | | | (478) multiplication(all_22_7, all_32_0) = all_335_1 % 76.17/11.78 | | | | % 76.17/11.78 | | | | DELTA: instantiating (334) with fresh symbols all_341_0, all_341_1 % 76.17/11.78 | | | | gives: % 76.17/11.78 | | | | (479) multiplication(all_22_7, all_81_0) = all_341_0 & % 76.17/11.78 | | | | multiplication(all_22_7, all_81_1) = all_341_1 & % 76.17/11.78 | | | | addition(all_341_1, all_341_0) = all_97_0 & $i(all_341_0) & % 76.17/11.78 | | | | $i(all_341_1) & $i(all_97_0) % 76.17/11.78 | | | | % 76.17/11.78 | | | | ALPHA: (479) implies: % 76.17/11.78 | | | | (480) $i(all_341_0) % 76.17/11.78 | | | | (481) addition(all_341_1, all_341_0) = all_97_0 % 76.17/11.78 | | | | (482) multiplication(all_22_7, all_81_1) = all_341_1 % 76.17/11.78 | | | | (483) multiplication(all_22_7, all_81_0) = all_341_0 % 76.17/11.78 | | | | % 76.17/11.78 | | | | DELTA: instantiating (333) with fresh symbols all_343_0, all_343_1 % 76.17/11.78 | | | | gives: % 76.17/11.78 | | | | (484) multiplication(all_22_7, all_95_0) = all_343_0 & % 76.17/11.78 | | | | multiplication(all_22_7, all_81_1) = all_343_1 & % 76.17/11.78 | | | | addition(all_343_1, all_343_0) = all_97_0 & $i(all_343_0) & % 76.17/11.78 | | | | $i(all_343_1) & $i(all_97_0) % 76.17/11.78 | | | | % 76.17/11.78 | | | | ALPHA: (484) implies: % 76.17/11.78 | | | | (485) multiplication(all_22_7, all_81_1) = all_343_1 % 76.17/11.78 | | | | (486) multiplication(all_22_7, all_95_0) = all_343_0 % 76.17/11.78 | | | | % 76.17/11.79 | | | | DELTA: instantiating (318) with fresh symbols all_345_0, all_345_1 % 76.17/11.79 | | | | gives: % 76.17/11.79 | | | | (487) multiplication(all_22_9, all_79_0) = all_345_0 & % 76.17/11.79 | | | | multiplication(all_22_9, all_79_1) = all_345_1 & % 76.17/11.79 | | | | addition(all_345_1, all_345_0) = all_89_0 & $i(all_345_0) & % 76.17/11.79 | | | | $i(all_345_1) & $i(all_89_0) % 76.17/11.79 | | | | % 76.17/11.79 | | | | ALPHA: (487) implies: % 76.17/11.79 | | | | (488) $i(all_345_0) % 76.17/11.79 | | | | (489) addition(all_345_1, all_345_0) = all_89_0 % 76.17/11.79 | | | | (490) multiplication(all_22_9, all_79_1) = all_345_1 % 76.17/11.79 | | | | (491) multiplication(all_22_9, all_79_0) = all_345_0 % 76.17/11.79 | | | | % 76.17/11.79 | | | | DELTA: instantiating (352) with fresh symbols all_347_0, all_347_1 % 76.17/11.79 | | | | gives: % 76.17/11.79 | | | | (492) multiplication(all_95_0, all_22_7) = all_347_0 & % 76.17/11.79 | | | | multiplication(all_81_1, all_22_7) = all_347_1 & % 76.17/11.79 | | | | addition(all_347_1, all_347_0) = all_81_0 & $i(all_347_0) & % 76.17/11.79 | | | | $i(all_347_1) & $i(all_81_0) % 76.17/11.79 | | | | % 76.17/11.79 | | | | ALPHA: (492) implies: % 76.17/11.79 | | | | (493) multiplication(all_81_1, all_22_7) = all_347_1 % 76.17/11.79 | | | | % 76.17/11.79 | | | | DELTA: instantiating (317) with fresh symbols all_349_0, all_349_1 % 76.17/11.79 | | | | gives: % 76.17/11.79 | | | | (494) multiplication(all_22_9, all_87_0) = all_349_0 & % 76.17/11.79 | | | | multiplication(all_22_9, all_79_1) = all_349_1 & % 76.17/11.79 | | | | addition(all_349_1, all_349_0) = all_89_0 & $i(all_349_0) & % 76.17/11.79 | | | | $i(all_349_1) & $i(all_89_0) % 76.17/11.79 | | | | % 76.17/11.79 | | | | ALPHA: (494) implies: % 76.17/11.79 | | | | (495) multiplication(all_22_9, all_79_1) = all_349_1 % 76.17/11.79 | | | | (496) multiplication(all_22_9, all_87_0) = all_349_0 % 76.17/11.79 | | | | % 76.17/11.79 | | | | DELTA: instantiating (343) with fresh symbols all_351_0, all_351_1 % 76.17/11.79 | | | | gives: % 76.17/11.79 | | | | (497) multiplication(all_30_0, all_22_6) = all_351_1 & % 76.17/11.79 | | | | multiplication(one, all_22_6) = all_351_0 & addition(all_351_1, % 76.17/11.79 | | | | all_351_0) = all_51_2 & $i(all_351_0) & $i(all_351_1) & % 76.17/11.79 | | | | $i(all_51_2) % 76.17/11.79 | | | | % 76.17/11.79 | | | | ALPHA: (497) implies: % 76.17/11.79 | | | | (498) multiplication(all_30_0, all_22_6) = all_351_1 % 76.17/11.79 | | | | % 76.17/11.79 | | | | DELTA: instantiating (342) with fresh symbols all_353_0, all_353_1 % 76.17/11.79 | | | | gives: % 76.17/11.79 | | | | (499) multiplication(all_32_0, all_22_6) = all_353_1 & % 76.17/11.79 | | | | multiplication(one, all_22_6) = all_353_0 & addition(all_353_1, % 76.17/11.79 | | | | all_353_0) = all_51_2 & $i(all_353_0) & $i(all_353_1) & % 76.17/11.79 | | | | $i(all_51_2) % 76.17/11.79 | | | | % 76.17/11.79 | | | | ALPHA: (499) implies: % 76.17/11.79 | | | | (500) multiplication(all_32_0, all_22_6) = all_353_1 % 76.17/11.79 | | | | % 76.17/11.79 | | | | DELTA: instantiating (338) with fresh symbols all_359_0, all_359_1 % 76.17/11.79 | | | | gives: % 76.17/11.79 | | | | (501) multiplication(all_22_7, all_63_0) = all_359_0 & % 76.17/11.79 | | | | multiplication(all_22_7, one) = all_359_1 & addition(all_359_1, % 76.17/11.79 | | | | all_359_0) = all_69_0 & $i(all_359_0) & $i(all_359_1) & % 76.17/11.79 | | | | $i(all_69_0) % 76.17/11.79 | | | | % 76.17/11.79 | | | | ALPHA: (501) implies: % 76.17/11.79 | | | | (502) multiplication(all_22_7, one) = all_359_1 % 76.17/11.79 | | | | % 76.17/11.79 | | | | DELTA: instantiating (270) with fresh symbols all_361_0, all_361_1 % 76.17/11.79 | | | | gives: % 76.17/11.79 | | | | (503) multiplication(all_32_0, all_22_9) = all_361_1 & % 76.17/11.79 | | | | multiplication(one, all_22_9) = all_361_0 & addition(all_361_1, % 76.17/11.79 | | | | all_361_0) = all_22_1 & $i(all_361_0) & $i(all_361_1) & % 76.17/11.79 | | | | $i(all_22_1) % 76.17/11.79 | | | | % 76.17/11.79 | | | | ALPHA: (503) implies: % 76.17/11.79 | | | | (504) $i(all_361_0) % 76.17/11.79 | | | | (505) multiplication(one, all_22_9) = all_361_0 % 76.17/11.79 | | | | (506) multiplication(all_32_0, all_22_9) = all_361_1 % 76.17/11.79 | | | | % 76.17/11.79 | | | | DELTA: instantiating (345) with fresh symbols all_363_0, all_363_1 % 76.17/11.79 | | | | gives: % 76.17/11.79 | | | | (507) multiplication(all_77_0, all_22_9) = all_363_0 & % 76.17/11.79 | | | | multiplication(all_77_1, all_22_9) = all_363_1 & % 76.17/11.79 | | | | addition(all_363_1, all_363_0) = all_93_0 & $i(all_363_0) & % 76.17/11.79 | | | | $i(all_363_1) & $i(all_93_0) % 76.17/11.79 | | | | % 76.17/11.79 | | | | ALPHA: (507) implies: % 76.17/11.79 | | | | (508) multiplication(all_77_1, all_22_9) = all_363_1 % 76.17/11.79 | | | | (509) multiplication(all_77_0, all_22_9) = all_363_0 % 76.17/11.79 | | | | % 76.17/11.79 | | | | DELTA: instantiating (330) with fresh symbols all_365_0, all_365_1 % 76.17/11.79 | | | | gives: % 76.17/11.79 | | | | (510) multiplication(all_22_7, all_97_0) = all_365_0 & % 76.17/11.79 | | | | multiplication(all_22_7, all_77_1) = all_365_1 & % 76.17/11.79 | | | | addition(all_365_1, all_365_0) = all_77_0 & $i(all_365_0) & % 76.17/11.79 | | | | $i(all_365_1) & $i(all_77_0) % 76.17/11.79 | | | | % 76.17/11.79 | | | | ALPHA: (510) implies: % 76.17/11.79 | | | | (511) multiplication(all_22_7, all_77_1) = all_365_1 % 76.17/11.79 | | | | (512) multiplication(all_22_7, all_97_0) = all_365_0 % 76.17/11.79 | | | | % 76.17/11.79 | | | | DELTA: instantiating (337) with fresh symbols all_367_0, all_367_1 % 76.17/11.79 | | | | gives: % 76.17/11.79 | | | | (513) multiplication(all_22_7, all_40_0) = all_367_1 & % 76.17/11.79 | | | | multiplication(all_22_7, all_22_2) = all_367_0 & % 76.17/11.79 | | | | addition(all_367_1, all_367_0) = all_69_0 & $i(all_367_0) & % 76.17/11.79 | | | | $i(all_367_1) & $i(all_69_0) % 76.17/11.79 | | | | % 76.17/11.79 | | | | ALPHA: (513) implies: % 76.17/11.79 | | | | (514) multiplication(all_22_7, all_22_2) = all_367_0 % 76.17/11.79 | | | | % 76.17/11.79 | | | | DELTA: instantiating (265) with fresh symbols all_371_0, all_371_1 % 76.17/11.79 | | | | gives: % 76.17/11.79 | | | | (515) multiplication(all_30_0, all_22_9) = all_371_1 & % 76.17/11.79 | | | | multiplication(one, all_22_9) = all_371_0 & addition(all_371_1, % 76.17/11.79 | | | | all_371_0) = all_22_1 & $i(all_371_0) & $i(all_371_1) & % 76.17/11.79 | | | | $i(all_22_1) % 76.17/11.79 | | | | % 76.17/11.79 | | | | ALPHA: (515) implies: % 76.17/11.79 | | | | (516) $i(all_371_1) % 76.17/11.79 | | | | (517) addition(all_371_1, all_371_0) = all_22_1 % 76.17/11.79 | | | | (518) multiplication(one, all_22_9) = all_371_0 % 76.17/11.79 | | | | (519) multiplication(all_30_0, all_22_9) = all_371_1 % 76.17/11.79 | | | | % 76.17/11.79 | | | | DELTA: instantiating (264) with fresh symbols all_379_0, all_379_1 % 76.17/11.79 | | | | gives: % 76.17/11.79 | | | | (520) multiplication(all_30_0, all_22_7) = all_379_1 & % 76.17/11.79 | | | | multiplication(one, all_22_7) = all_379_0 & addition(all_379_1, % 76.17/11.79 | | | | all_379_0) = all_32_0 & $i(all_379_0) & $i(all_379_1) & % 76.17/11.79 | | | | $i(all_32_0) % 76.17/11.79 | | | | % 76.17/11.79 | | | | ALPHA: (520) implies: % 76.17/11.79 | | | | (521) addition(all_379_1, all_379_0) = all_32_0 % 76.17/11.79 | | | | (522) multiplication(one, all_22_7) = all_379_0 % 76.17/11.79 | | | | (523) multiplication(all_30_0, all_22_7) = all_379_1 % 76.17/11.79 | | | | % 76.17/11.79 | | | | DELTA: instantiating (325) with fresh symbols all_387_0, all_387_1 % 76.17/11.79 | | | | gives: % 76.17/11.79 | | | | (524) multiplication(all_22_8, all_38_0) = all_387_1 & % 76.17/11.79 | | | | multiplication(all_22_8, all_22_4) = all_387_0 & % 76.17/11.79 | | | | addition(all_387_1, all_387_0) = all_71_0 & $i(all_387_0) & % 76.17/11.79 | | | | $i(all_387_1) & $i(all_71_0) % 76.17/11.79 | | | | % 76.17/11.79 | | | | ALPHA: (524) implies: % 76.17/11.79 | | | | (525) multiplication(all_22_8, all_22_4) = all_387_0 % 76.17/11.79 | | | | % 76.17/11.79 | | | | DELTA: instantiating (350) with fresh symbols all_389_0, all_389_1 % 76.17/11.79 | | | | gives: % 76.17/11.79 | | | | (526) multiplication(all_81_0, all_22_9) = all_389_0 & % 76.17/11.79 | | | | multiplication(all_81_1, all_22_9) = all_389_1 & % 76.17/11.79 | | | | addition(all_389_1, all_389_0) = all_91_0 & $i(all_389_0) & % 76.17/11.79 | | | | $i(all_389_1) & $i(all_91_0) % 76.17/11.79 | | | | % 76.17/11.79 | | | | ALPHA: (526) implies: % 76.17/11.79 | | | | (527) $i(all_389_0) % 76.17/11.79 | | | | (528) addition(all_389_1, all_389_0) = all_91_0 % 76.17/11.79 | | | | (529) multiplication(all_81_1, all_22_9) = all_389_1 % 76.17/11.79 | | | | (530) multiplication(all_81_0, all_22_9) = all_389_0 % 76.17/11.79 | | | | % 76.17/11.79 | | | | DELTA: instantiating (323) with fresh symbols all_391_0, all_391_1 % 76.17/11.79 | | | | gives: % 76.17/11.79 | | | | (531) multiplication(all_22_8, all_38_0) = all_391_0 & % 76.17/11.79 | | | | multiplication(all_22_8, all_22_4) = all_391_1 & % 76.17/11.79 | | | | addition(all_391_1, all_391_0) = all_71_0 & $i(all_391_0) & % 76.17/11.79 | | | | $i(all_391_1) & $i(all_71_0) % 76.17/11.79 | | | | % 76.17/11.79 | | | | ALPHA: (531) implies: % 76.17/11.79 | | | | (532) multiplication(all_22_8, all_22_4) = all_391_1 % 76.17/11.79 | | | | % 76.17/11.79 | | | | DELTA: instantiating (344) with fresh symbols all_395_0, all_395_1 % 76.17/11.79 | | | | gives: % 76.17/11.79 | | | | (533) multiplication(all_97_0, all_22_9) = all_395_0 & % 76.17/11.79 | | | | multiplication(all_77_1, all_22_9) = all_395_1 & % 76.17/11.79 | | | | addition(all_395_1, all_395_0) = all_93_0 & $i(all_395_0) & % 76.17/11.79 | | | | $i(all_395_1) & $i(all_93_0) % 76.17/11.79 | | | | % 76.17/11.79 | | | | ALPHA: (533) implies: % 76.17/11.79 | | | | (534) multiplication(all_77_1, all_22_9) = all_395_1 % 76.17/11.79 | | | | (535) multiplication(all_97_0, all_22_9) = all_395_0 % 76.17/11.79 | | | | % 76.17/11.79 | | | | DELTA: instantiating (327) with fresh symbols all_397_0, all_397_1 % 76.17/11.79 | | | | gives: % 76.17/11.79 | | | | (536) multiplication(all_22_8, all_65_0) = all_397_0 & % 76.17/11.79 | | | | multiplication(all_22_8, one) = all_397_1 & addition(all_397_1, % 76.17/11.79 | | | | all_397_0) = all_71_0 & $i(all_397_0) & $i(all_397_1) & % 76.17/11.79 | | | | $i(all_71_0) % 76.17/11.79 | | | | % 76.17/11.79 | | | | ALPHA: (536) implies: % 76.17/11.79 | | | | (537) multiplication(all_22_8, one) = all_397_1 % 76.17/11.79 | | | | % 76.17/11.79 | | | | DELTA: instantiating (326) with fresh symbols all_399_0, all_399_1 % 76.17/11.79 | | | | gives: % 76.17/11.79 | | | | (538) multiplication(all_22_8, all_67_0) = all_399_0 & % 76.17/11.79 | | | | multiplication(all_22_8, one) = all_399_1 & addition(all_399_1, % 76.17/11.79 | | | | all_399_0) = all_71_0 & $i(all_399_0) & $i(all_399_1) & % 76.17/11.79 | | | | $i(all_71_0) % 76.17/11.79 | | | | % 76.17/11.79 | | | | ALPHA: (538) implies: % 76.17/11.79 | | | | (539) multiplication(all_22_8, one) = all_399_1 % 76.17/11.79 | | | | % 76.17/11.79 | | | | DELTA: instantiating (276) with fresh symbols all_401_0, all_401_1 % 76.17/11.79 | | | | gives: % 76.17/11.79 | | | | (540) multiplication(all_22_9, all_34_0) = all_401_1 & % 76.17/11.79 | | | | multiplication(all_22_9, one) = all_401_0 & addition(all_401_1, % 76.17/11.79 | | | | all_401_0) = all_22_3 & $i(all_401_0) & $i(all_401_1) & % 76.17/11.79 | | | | $i(all_22_3) % 76.17/11.79 | | | | % 76.17/11.79 | | | | ALPHA: (540) implies: % 76.17/11.79 | | | | (541) multiplication(all_22_9, one) = all_401_0 % 76.17/11.79 | | | | (542) multiplication(all_22_9, all_34_0) = all_401_1 % 76.17/11.79 | | | | % 76.17/11.79 | | | | DELTA: instantiating (340) with fresh symbols all_403_0, all_403_1 % 76.17/11.79 | | | | gives: % 76.17/11.79 | | | | (543) multiplication(all_32_0, all_22_6) = all_403_0 & % 76.17/11.79 | | | | multiplication(one, all_22_6) = all_403_1 & addition(all_403_1, % 76.17/11.79 | | | | all_403_0) = all_51_2 & $i(all_403_0) & $i(all_403_1) & % 76.17/11.79 | | | | $i(all_51_2) % 76.17/11.79 | | | | % 76.17/11.79 | | | | ALPHA: (543) implies: % 76.17/11.79 | | | | (544) multiplication(all_32_0, all_22_6) = all_403_0 % 76.17/11.79 | | | | % 76.17/11.79 | | | | DELTA: instantiating (281) with fresh symbols all_405_0, all_405_1 % 76.17/11.79 | | | | gives: % 76.17/11.80 | | | | (545) multiplication(all_22_9, all_36_0) = all_405_1 & % 76.17/11.80 | | | | multiplication(all_22_9, one) = all_405_0 & addition(all_405_1, % 76.17/11.80 | | | | all_405_0) = all_22_3 & $i(all_405_0) & $i(all_405_1) & % 76.17/11.80 | | | | $i(all_22_3) % 76.17/11.80 | | | | % 76.17/11.80 | | | | ALPHA: (545) implies: % 76.17/11.80 | | | | (546) addition(all_405_1, all_405_0) = all_22_3 % 76.17/11.80 | | | | (547) multiplication(all_22_9, one) = all_405_0 % 76.17/11.80 | | | | (548) multiplication(all_22_9, all_36_0) = all_405_1 % 76.17/11.80 | | | | % 76.17/11.80 | | | | DELTA: instantiating (280) with fresh symbols all_411_0, all_411_1 % 76.17/11.80 | | | | gives: % 76.17/11.80 | | | | (549) multiplication(all_22_8, all_36_0) = all_411_1 & % 76.17/11.80 | | | | multiplication(all_22_8, one) = all_411_0 & addition(all_411_1, % 76.17/11.80 | | | | all_411_0) = all_34_0 & $i(all_411_0) & $i(all_411_1) & % 76.17/11.80 | | | | $i(all_34_0) % 76.17/11.80 | | | | % 76.17/11.80 | | | | ALPHA: (549) implies: % 76.17/11.80 | | | | (550) addition(all_411_1, all_411_0) = all_34_0 % 76.17/11.80 | | | | (551) multiplication(all_22_8, one) = all_411_0 % 76.17/11.80 | | | | (552) multiplication(all_22_8, all_36_0) = all_411_1 % 76.17/11.80 | | | | % 76.17/11.80 | | | | DELTA: instantiating (319) with fresh symbols all_413_0, all_413_1 % 76.17/11.80 | | | | gives: % 76.17/11.80 | | | | (553) multiplication(all_22_9, all_99_0) = all_413_0 & % 76.17/11.80 | | | | multiplication(all_22_9, all_75_1) = all_413_1 & % 76.17/11.80 | | | | addition(all_413_1, all_413_0) = all_101_0 & $i(all_413_0) & % 76.17/11.80 | | | | $i(all_413_1) & $i(all_101_0) % 76.17/11.80 | | | | % 76.17/11.80 | | | | ALPHA: (553) implies: % 76.17/11.80 | | | | (554) multiplication(all_22_9, all_75_1) = all_413_1 % 76.17/11.80 | | | | (555) multiplication(all_22_9, all_99_0) = all_413_0 % 76.17/11.80 | | | | % 76.17/11.80 | | | | DELTA: instantiating (349) with fresh symbols all_415_0, all_415_1 % 76.17/11.80 | | | | gives: % 76.17/11.80 | | | | (556) multiplication(all_95_0, all_22_9) = all_415_0 & % 76.17/11.80 | | | | multiplication(all_81_1, all_22_9) = all_415_1 & % 76.17/11.80 | | | | addition(all_415_1, all_415_0) = all_91_0 & $i(all_415_0) & % 76.17/11.80 | | | | $i(all_415_1) & $i(all_91_0) % 76.17/11.80 | | | | % 76.17/11.80 | | | | ALPHA: (556) implies: % 76.17/11.80 | | | | (557) multiplication(all_81_1, all_22_9) = all_415_1 % 76.17/11.80 | | | | (558) multiplication(all_95_0, all_22_9) = all_415_0 % 76.17/11.80 | | | | % 76.17/11.80 | | | | DELTA: instantiating (304) with fresh symbols all_417_0, all_417_1 % 76.17/11.80 | | | | gives: % 76.17/11.80 | | | | (559) multiplication(all_91_0, all_22_8) = all_417_0 & % 76.17/11.80 | | | | multiplication(all_91_1, all_22_8) = all_417_1 & % 76.17/11.80 | | | | addition(all_417_1, all_417_0) = all_51_2 & $i(all_417_0) & % 76.17/11.80 | | | | $i(all_417_1) & $i(all_51_2) % 76.17/11.80 | | | | % 76.17/11.80 | | | | ALPHA: (559) implies: % 76.17/11.80 | | | | (560) $i(all_417_0) % 76.17/11.80 | | | | (561) addition(all_417_1, all_417_0) = all_51_2 % 76.17/11.80 | | | | (562) multiplication(all_91_1, all_22_8) = all_417_1 % 76.17/11.80 | | | | (563) multiplication(all_91_0, all_22_8) = all_417_0 % 76.17/11.80 | | | | % 76.17/11.80 | | | | REDUCE: (262), (403) imply: % 76.17/11.80 | | | | (564) multiplication(all_223_0, all_22_8) = all_22_6 % 76.17/11.80 | | | | % 76.17/11.80 | | | | REDUCE: (312), (562) imply: % 76.17/11.80 | | | | (565) multiplication(all_22_9, all_22_8) = all_417_1 % 76.17/11.80 | | | | % 76.17/11.80 | | | | REDUCE: (312), (464) imply: % 76.17/11.80 | | | | (566) multiplication(all_22_9, all_22_8) = all_321_1 % 76.17/11.80 | | | | % 76.17/11.80 | | | | REDUCE: (314), (493) imply: % 76.17/11.80 | | | | (567) multiplication(all_22_7, all_22_7) = all_347_1 % 76.17/11.80 | | | | % 76.17/11.80 | | | | REDUCE: (314), (434) imply: % 76.17/11.80 | | | | (568) multiplication(all_22_7, all_22_7) = all_279_1 % 76.17/11.80 | | | | % 76.17/11.80 | | | | REDUCE: (314), (557) imply: % 76.17/11.80 | | | | (569) multiplication(all_22_7, all_22_9) = all_415_1 % 76.17/11.80 | | | | % 76.17/11.80 | | | | REDUCE: (314), (529) imply: % 76.17/11.80 | | | | (570) multiplication(all_22_7, all_22_9) = all_389_1 % 76.17/11.80 | | | | % 76.17/11.80 | | | | REDUCE: (328), (462) imply: % 76.17/11.80 | | | | (571) multiplication(all_22_7, all_22_7) = all_319_1 % 76.17/11.80 | | | | % 76.17/11.80 | | | | REDUCE: (328), (460) imply: % 76.17/11.80 | | | | (572) multiplication(all_22_7, all_22_7) = all_317_1 % 76.17/11.80 | | | | % 76.17/11.80 | | | | REDUCE: (328), (534) imply: % 76.17/11.80 | | | | (573) multiplication(all_22_7, all_22_9) = all_395_1 % 76.17/11.80 | | | | % 76.17/11.80 | | | | REDUCE: (328), (508) imply: % 76.17/11.80 | | | | (574) multiplication(all_22_7, all_22_9) = all_363_1 % 76.17/11.80 | | | | % 76.17/11.80 | | | | REDUCE: (314), (485) imply: % 76.17/11.80 | | | | (575) multiplication(all_22_7, all_22_7) = all_343_1 % 76.17/11.80 | | | | % 76.17/11.80 | | | | REDUCE: (314), (482) imply: % 76.17/11.80 | | | | (576) multiplication(all_22_7, all_22_7) = all_341_1 % 76.17/11.80 | | | | % 76.17/11.80 | | | | REDUCE: (328), (511) imply: % 76.17/11.80 | | | | (577) multiplication(all_22_7, all_22_7) = all_365_1 % 76.17/11.80 | | | | % 76.17/11.80 | | | | REDUCE: (328), (444) imply: % 76.17/11.80 | | | | (578) multiplication(all_22_7, all_22_7) = all_291_1 % 76.17/11.80 | | | | % 76.17/11.80 | | | | REDUCE: (168), (328) imply: % 76.17/11.80 | | | | (579) multiplication(all_22_7, one) = all_22_7 % 76.17/11.80 | | | | % 76.17/11.80 | | | | REDUCE: (173), (321) imply: % 76.17/11.80 | | | | (580) multiplication(all_22_8, one) = all_22_8 % 76.17/11.80 | | | | % 76.17/11.80 | | | | REDUCE: (262), (399) imply: % 76.17/11.80 | | | | (581) multiplication(all_22_9, all_221_0) = all_22_6 % 76.17/11.80 | | | | % 76.17/11.80 | | | | REDUCE: (321), (495) imply: % 76.17/11.80 | | | | (582) multiplication(all_22_9, all_22_8) = all_349_1 % 76.17/11.80 | | | | % 76.17/11.80 | | | | REDUCE: (321), (490) imply: % 76.17/11.80 | | | | (583) multiplication(all_22_9, all_22_8) = all_345_1 % 76.17/11.80 | | | | % 76.17/11.80 | | | | REDUCE: (313), (554) imply: % 76.17/11.80 | | | | (584) multiplication(all_22_9, all_22_8) = all_413_1 % 76.17/11.80 | | | | % 76.17/11.80 | | | | REDUCE: (313), (471) imply: % 76.17/11.80 | | | | (585) multiplication(all_22_9, all_22_8) = all_331_1 % 76.17/11.80 | | | | % 76.17/11.80 | | | | REDUCE: (197), (315) imply: % 76.17/11.80 | | | | (586) multiplication(all_22_9, one) = all_22_9 % 76.17/11.80 | | | | % 76.17/11.80 | | | | REDUCE: (178), (314) imply: % 76.17/11.80 | | | | (587) multiplication(one, all_22_7) = all_22_7 % 76.17/11.80 | | | | % 76.17/11.80 | | | | REDUCE: (163), (313) imply: % 76.17/11.80 | | | | (588) multiplication(one, all_22_8) = all_22_8 % 76.17/11.80 | | | | % 76.17/11.80 | | | | REDUCE: (202), (312) imply: % 76.17/11.80 | | | | (589) multiplication(one, all_22_9) = all_22_9 % 76.17/11.80 | | | | % 76.17/11.80 | | | | REDUCE: (252), (312) imply: % 76.17/11.80 | | | | (590) addition(all_22_9, all_93_0) = all_22_1 % 76.17/11.80 | | | | % 76.17/11.80 | | | | REDUCE: (248), (315) imply: % 76.17/11.80 | | | | (591) addition(all_22_9, all_101_0) = all_22_3 % 76.17/11.80 | | | | % 76.17/11.80 | | | | REDUCE: (328), (393) imply: % 76.17/11.80 | | | | (592) addition(all_22_7, all_205_0) = all_22_2 % 76.17/11.80 | | | | % 76.17/11.80 | | | | REDUCE: (262), (357) imply: % 76.17/11.80 | | | | (593) addition(all_22_6, all_22_6) = all_127_0 % 76.17/11.80 | | | | % 76.17/11.80 | | | | REDUCE: (262), (365) imply: % 76.17/11.80 | | | | (594) addition(all_22_6, all_22_6) = all_133_0 % 76.17/11.80 | | | | % 76.17/11.80 | | | | REDUCE: (312), (417) imply: % 76.17/11.80 | | | | (595) addition(all_51_1, all_22_9) = all_249_0 % 76.17/11.80 | | | | % 76.17/11.80 | | | | REDUCE: (312), (385) imply: % 76.17/11.80 | | | | (596) addition(all_51_1, all_22_9) = all_191_0 % 76.17/11.80 | | | | % 76.17/11.80 | | | | REDUCE: (315), (419) imply: % 76.17/11.80 | | | | (597) addition(all_22_1, all_22_9) = all_251_0 % 76.17/11.80 | | | | % 76.17/11.80 | | | | REDUCE: (315), (372) imply: % 76.17/11.80 | | | | (598) addition(all_22_1, all_22_9) = all_149_0 % 76.17/11.80 | | | | % 76.17/11.80 | | | | REDUCE: (312), (429) imply: % 76.17/11.80 | | | | (599) addition(all_22_3, all_22_9) = all_265_0 % 76.17/11.80 | | | | % 76.17/11.80 | | | | REDUCE: (312), (388) imply: % 76.17/11.80 | | | | (600) addition(all_22_3, all_22_9) = all_199_0 % 76.17/11.80 | | | | % 76.34/11.80 | | | | REDUCE: (262), (363) imply: % 76.34/11.80 | | | | (601) addition(all_22_6, all_22_6) = all_131_0 % 76.34/11.80 | | | | % 76.34/11.80 | | | | REDUCE: (134), (262) imply: % 76.34/11.80 | | | | (602) addition(all_22_6, all_22_6) = all_22_6 % 76.34/11.80 | | | | % 76.34/11.80 | | | | REDUCE: (314), (431) imply: % 76.34/11.80 | | | | (603) addition(one, all_22_7) = all_275_0 % 76.34/11.80 | | | | % 76.34/11.80 | | | | REDUCE: (314), (427) imply: % 76.34/11.80 | | | | (604) addition(one, all_22_7) = all_261_0 % 76.34/11.80 | | | | % 76.34/11.80 | | | | REDUCE: (328), (410) imply: % 76.34/11.80 | | | | (605) addition(one, all_22_7) = all_233_0 % 76.34/11.80 | | | | % 76.34/11.80 | | | | REDUCE: (328), (396) imply: % 76.34/11.80 | | | | (606) addition(one, all_22_7) = all_217_0 % 76.34/11.80 | | | | % 76.34/11.80 | | | | GROUND_INST: instantiating (21) with all_261_0, all_275_0, all_22_7, % 76.34/11.80 | | | | one, simplifying with (603), (604) gives: % 76.34/11.80 | | | | (607) all_275_0 = all_261_0 % 76.34/11.80 | | | | % 76.34/11.80 | | | | GROUND_INST: instantiating (21) with all_233_0, all_275_0, all_22_7, % 76.34/11.80 | | | | one, simplifying with (603), (605) gives: % 76.34/11.80 | | | | (608) all_275_0 = all_233_0 % 76.34/11.80 | | | | % 76.34/11.80 | | | | GROUND_INST: instantiating (21) with all_217_0, all_275_0, all_22_7, % 76.34/11.80 | | | | one, simplifying with (603), (606) gives: % 76.34/11.81 | | | | (609) all_275_0 = all_217_0 % 76.34/11.81 | | | | % 76.34/11.81 | | | | GROUND_INST: instantiating (21) with all_129_0, all_131_0, all_22_6, % 76.34/11.81 | | | | all_22_6, simplifying with (360), (601) gives: % 76.34/11.81 | | | | (610) all_131_0 = all_129_0 % 76.34/11.81 | | | | % 76.34/11.81 | | | | GROUND_INST: instantiating (21) with all_127_0, all_131_0, all_22_6, % 76.34/11.81 | | | | all_22_6, simplifying with (593), (601) gives: % 76.34/11.81 | | | | (611) all_131_0 = all_127_0 % 76.34/11.81 | | | | % 76.34/11.81 | | | | GROUND_INST: instantiating (21) with all_129_0, all_133_0, all_22_6, % 76.34/11.81 | | | | all_22_6, simplifying with (360), (594) gives: % 76.34/11.81 | | | | (612) all_133_0 = all_129_0 % 76.34/11.81 | | | | % 76.34/11.81 | | | | GROUND_INST: instantiating (21) with all_22_6, all_133_0, all_22_6, % 76.34/11.81 | | | | all_22_6, simplifying with (594), (602) gives: % 76.34/11.81 | | | | (613) all_133_0 = all_22_6 % 76.34/11.81 | | | | % 76.34/11.81 | | | | GROUND_INST: instantiating (21) with all_199_0, all_265_0, all_22_9, % 76.34/11.81 | | | | all_22_3, simplifying with (599), (600) gives: % 76.34/11.81 | | | | (614) all_265_0 = all_199_0 % 76.34/11.81 | | | | % 76.34/11.81 | | | | GROUND_INST: instantiating (21) with all_149_0, all_251_0, all_22_9, % 76.34/11.81 | | | | all_22_1, simplifying with (597), (598) gives: % 76.34/11.81 | | | | (615) all_251_0 = all_149_0 % 76.34/11.81 | | | | % 76.34/11.81 | | | | GROUND_INST: instantiating (21) with all_191_0, all_249_0, all_22_9, % 76.34/11.81 | | | | all_51_1, simplifying with (595), (596) gives: % 76.34/11.81 | | | | (616) all_249_0 = all_191_0 % 76.34/11.81 | | | | % 76.34/11.81 | | | | GROUND_INST: instantiating (22) with all_361_0, all_371_0, all_22_9, % 76.34/11.81 | | | | one, simplifying with (505), (518) gives: % 76.34/11.81 | | | | (617) all_371_0 = all_361_0 % 76.34/11.81 | | | | % 76.34/11.81 | | | | GROUND_INST: instantiating (22) with all_22_9, all_371_0, all_22_9, one, % 76.34/11.81 | | | | simplifying with (518), (589) gives: % 76.34/11.81 | | | | (618) all_371_0 = all_22_9 % 76.34/11.81 | | | | % 76.34/11.81 | | | | GROUND_INST: instantiating (22) with all_22_8, all_307_0, all_22_8, one, % 76.34/11.81 | | | | simplifying with (457), (588) gives: % 76.34/11.81 | | | | (619) all_307_0 = all_22_8 % 76.34/11.81 | | | | % 76.34/11.81 | | | | GROUND_INST: instantiating (22) with all_289_0, all_379_0, all_22_7, % 76.34/11.81 | | | | one, simplifying with (441), (522) gives: % 76.34/11.81 | | | | (620) all_379_0 = all_289_0 % 76.34/11.81 | | | | % 76.34/11.81 | | | | GROUND_INST: instantiating (22) with all_22_7, all_379_0, all_22_7, one, % 76.34/11.81 | | | | simplifying with (522), (587) gives: % 76.34/11.81 | | | | (621) all_379_0 = all_22_7 % 76.34/11.81 | | | | % 76.34/11.81 | | | | GROUND_INST: instantiating (22) with all_401_0, all_405_0, one, % 76.34/11.81 | | | | all_22_9, simplifying with (541), (547) gives: % 76.34/11.81 | | | | (622) all_405_0 = all_401_0 % 76.34/11.81 | | | | % 76.34/11.81 | | | | GROUND_INST: instantiating (22) with all_22_9, all_405_0, one, all_22_9, % 76.34/11.81 | | | | simplifying with (547), (586) gives: % 76.34/11.81 | | | | (623) all_405_0 = all_22_9 % 76.34/11.81 | | | | % 76.34/11.81 | | | | GROUND_INST: instantiating (22) with all_22_6, all_321_1, all_22_8, % 76.34/11.81 | | | | all_22_9, simplifying with (32), (566) gives: % 76.34/11.81 | | | | (624) all_321_1 = all_22_6 % 76.34/11.81 | | | | % 76.34/11.81 | | | | GROUND_INST: instantiating (22) with all_345_1, all_349_1, all_22_8, % 76.34/11.81 | | | | all_22_9, simplifying with (582), (583) gives: % 76.34/11.81 | | | | (625) all_349_1 = all_345_1 % 76.34/11.81 | | | | % 76.34/11.81 | | | | GROUND_INST: instantiating (22) with all_331_1, all_349_1, all_22_8, % 76.34/11.81 | | | | all_22_9, simplifying with (582), (585) gives: % 76.34/11.81 | | | | (626) all_349_1 = all_331_1 % 76.34/11.81 | | | | % 76.34/11.81 | | | | GROUND_INST: instantiating (22) with all_321_1, all_349_1, all_22_8, % 76.34/11.81 | | | | all_22_9, simplifying with (566), (582) gives: % 76.34/11.81 | | | | (627) all_349_1 = all_321_1 % 76.34/11.81 | | | | % 76.34/11.81 | | | | GROUND_INST: instantiating (22) with all_345_1, all_413_1, all_22_8, % 76.34/11.81 | | | | all_22_9, simplifying with (583), (584) gives: % 76.34/11.81 | | | | (628) all_413_1 = all_345_1 % 76.34/11.81 | | | | % 76.34/11.81 | | | | GROUND_INST: instantiating (22) with all_413_1, all_417_1, all_22_8, % 76.34/11.81 | | | | all_22_9, simplifying with (565), (584) gives: % 76.34/11.81 | | | | (629) all_417_1 = all_413_1 % 76.34/11.81 | | | | % 76.34/11.81 | | | | GROUND_INST: instantiating (22) with all_243_0, all_417_1, all_22_8, % 76.34/11.81 | | | | all_22_9, simplifying with (415), (565) gives: % 76.34/11.81 | | | | (630) all_417_1 = all_243_0 % 76.34/11.81 | | | | % 76.34/11.81 | | | | GROUND_INST: instantiating (22) with all_89_0, all_401_1, all_34_0, % 76.34/11.81 | | | | all_22_9, simplifying with (198), (542) gives: % 76.34/11.81 | | | | (631) all_401_1 = all_89_0 % 76.34/11.81 | | | | % 76.34/11.81 | | | | GROUND_INST: instantiating (22) with all_101_0, all_405_1, all_36_0, % 76.34/11.81 | | | | all_22_9, simplifying with (233), (548) gives: % 76.34/11.81 | | | | (632) all_405_1 = all_101_0 % 76.34/11.81 | | | | % 76.34/11.81 | | | | GROUND_INST: instantiating (22) with all_281_0, all_305_0, one, % 76.34/11.81 | | | | all_22_8, simplifying with (437), (454) gives: % 76.34/11.81 | | | | (633) all_305_0 = all_281_0 % 76.34/11.81 | | | | % 76.34/11.81 | | | | GROUND_INST: instantiating (22) with all_305_0, all_397_1, one, % 76.34/11.81 | | | | all_22_8, simplifying with (454), (537) gives: % 76.34/11.81 | | | | (634) all_397_1 = all_305_0 % 76.34/11.81 | | | | % 76.34/11.81 | | | | GROUND_INST: instantiating (22) with all_397_1, all_399_1, one, % 76.34/11.81 | | | | all_22_8, simplifying with (537), (539) gives: % 76.34/11.81 | | | | (635) all_399_1 = all_397_1 % 76.34/11.81 | | | | % 76.34/11.81 | | | | GROUND_INST: instantiating (22) with all_399_1, all_411_0, one, % 76.34/11.81 | | | | all_22_8, simplifying with (539), (551) gives: % 76.34/11.81 | | | | (636) all_411_0 = all_399_1 % 76.34/11.81 | | | | % 76.34/11.81 | | | | GROUND_INST: instantiating (22) with all_22_8, all_411_0, one, all_22_8, % 76.34/11.81 | | | | simplifying with (551), (580) gives: % 76.34/11.81 | | | | (637) all_411_0 = all_22_8 % 76.34/11.81 | | | | % 76.34/11.81 | | | | GROUND_INST: instantiating (22) with all_241_0, all_387_0, all_22_4, % 76.34/11.81 | | | | all_22_8, simplifying with (412), (525) gives: % 76.34/11.81 | | | | (638) all_387_0 = all_241_0 % 76.34/11.81 | | | | % 76.34/11.81 | | | | GROUND_INST: instantiating (22) with all_34_0, all_391_1, all_22_4, % 76.34/11.81 | | | | all_22_8, simplifying with (60), (532) gives: % 76.34/11.81 | | | | (639) all_391_1 = all_34_0 % 76.34/11.81 | | | | % 76.34/11.81 | | | | GROUND_INST: instantiating (22) with all_387_0, all_391_1, all_22_4, % 76.34/11.81 | | | | all_22_8, simplifying with (525), (532) gives: % 76.34/11.81 | | | | (640) all_391_1 = all_387_0 % 76.34/11.81 | | | | % 76.34/11.81 | | | | GROUND_INST: instantiating (22) with all_79_0, all_281_1, all_34_0, % 76.34/11.81 | | | | all_22_8, simplifying with (174), (438) gives: % 76.34/11.81 | | | | (641) all_281_1 = all_79_0 % 76.34/11.81 | | | | % 76.34/11.81 | | | | GROUND_INST: instantiating (22) with all_87_0, all_411_1, all_36_0, % 76.34/11.81 | | | | all_22_8, simplifying with (193), (552) gives: % 76.34/11.81 | | | | (642) all_411_1 = all_87_0 % 76.34/11.81 | | | | % 76.34/11.81 | | | | GROUND_INST: instantiating (22) with all_22_7, all_297_0, one, all_22_7, % 76.34/11.81 | | | | simplifying with (449), (579) gives: % 76.34/11.81 | | | | (643) all_297_0 = all_22_7 % 76.34/11.81 | | | | % 76.34/11.81 | | | | GROUND_INST: instantiating (22) with all_297_0, all_327_1, one, % 76.34/11.81 | | | | all_22_7, simplifying with (449), (469) gives: % 76.34/11.81 | | | | (644) all_327_1 = all_297_0 % 76.34/11.81 | | | | % 76.34/11.81 | | | | GROUND_INST: instantiating (22) with all_327_1, all_335_0, one, % 76.34/11.81 | | | | all_22_7, simplifying with (469), (477) gives: % 76.34/11.81 | | | | (645) all_335_0 = all_327_1 % 76.34/11.81 | | | | % 76.34/11.81 | | | | GROUND_INST: instantiating (22) with all_335_0, all_359_1, one, % 76.34/11.81 | | | | all_22_7, simplifying with (477), (502) gives: % 76.34/11.81 | | | | (646) all_359_1 = all_335_0 % 76.34/11.81 | | | | % 76.34/11.81 | | | | GROUND_INST: instantiating (22) with all_293_0, all_359_1, one, % 76.34/11.81 | | | | all_22_7, simplifying with (447), (502) gives: % 76.34/11.81 | | | | (647) all_359_1 = all_293_0 % 76.34/11.81 | | | | % 76.34/11.81 | | | | GROUND_INST: instantiating (22) with all_363_1, all_389_1, all_22_9, % 76.34/11.81 | | | | all_22_7, simplifying with (570), (574) gives: % 76.34/11.81 | | | | (648) all_389_1 = all_363_1 % 76.34/11.81 | | | | % 76.34/11.81 | | | | GROUND_INST: instantiating (22) with all_173_0, all_389_1, all_22_9, % 76.34/11.81 | | | | all_22_7, simplifying with (380), (570) gives: % 76.34/11.81 | | | | (649) all_389_1 = all_173_0 % 76.34/11.81 | | | | % 76.34/11.81 | | | | GROUND_INST: instantiating (22) with all_22_5, all_415_1, all_22_9, % 76.34/11.81 | | | | all_22_7, simplifying with (34), (569) gives: % 76.34/11.81 | | | | (650) all_415_1 = all_22_5 % 76.34/11.81 | | | | % 76.34/11.81 | | | | GROUND_INST: instantiating (22) with all_395_1, all_415_1, all_22_9, % 76.34/11.81 | | | | all_22_7, simplifying with (569), (573) gives: % 76.34/11.81 | | | | (651) all_415_1 = all_395_1 % 76.34/11.81 | | | | % 76.34/11.81 | | | | GROUND_INST: instantiating (22) with all_363_1, all_415_1, all_22_9, % 76.34/11.81 | | | | all_22_7, simplifying with (569), (574) gives: % 76.34/11.81 | | | | (652) all_415_1 = all_363_1 % 76.34/11.81 | | | | % 76.34/11.81 | | | | GROUND_INST: instantiating (22) with all_227_0, all_317_1, all_22_7, % 76.34/11.81 | | | | all_22_7, simplifying with (406), (572) gives: % 76.34/11.81 | | | | (653) all_317_1 = all_227_0 % 76.34/11.81 | | | | % 76.34/11.81 | | | | GROUND_INST: instantiating (22) with all_319_1, all_341_1, all_22_7, % 76.34/11.81 | | | | all_22_7, simplifying with (571), (576) gives: % 76.34/11.81 | | | | (654) all_341_1 = all_319_1 % 76.34/11.81 | | | | % 76.34/11.81 | | | | GROUND_INST: instantiating (22) with all_161_0, all_341_1, all_22_7, % 76.34/11.81 | | | | all_22_7, simplifying with (374), (576) gives: % 76.34/11.81 | | | | (655) all_341_1 = all_161_0 % 76.34/11.81 | | | | % 76.34/11.81 | | | | GROUND_INST: instantiating (22) with all_341_1, all_343_1, all_22_7, % 76.34/11.81 | | | | all_22_7, simplifying with (575), (576) gives: % 76.34/11.81 | | | | (656) all_343_1 = all_341_1 % 76.34/11.81 | | | | % 76.34/11.81 | | | | GROUND_INST: instantiating (22) with all_341_1, all_347_1, all_22_7, % 76.34/11.81 | | | | all_22_7, simplifying with (567), (576) gives: % 76.34/11.81 | | | | (657) all_347_1 = all_341_1 % 76.34/11.81 | | | | % 76.34/11.81 | | | | GROUND_INST: instantiating (22) with all_317_1, all_347_1, all_22_7, % 76.34/11.81 | | | | all_22_7, simplifying with (567), (572) gives: % 76.34/11.81 | | | | (658) all_347_1 = all_317_1 % 76.34/11.81 | | | | % 76.34/11.81 | | | | GROUND_INST: instantiating (22) with all_291_1, all_347_1, all_22_7, % 76.34/11.81 | | | | all_22_7, simplifying with (567), (578) gives: % 76.34/11.81 | | | | (659) all_347_1 = all_291_1 % 76.34/11.81 | | | | % 76.34/11.81 | | | | GROUND_INST: instantiating (22) with all_343_1, all_365_1, all_22_7, % 76.34/11.81 | | | | all_22_7, simplifying with (575), (577) gives: % 76.34/11.81 | | | | (660) all_365_1 = all_343_1 % 76.34/11.81 | | | | % 76.34/11.81 | | | | GROUND_INST: instantiating (22) with all_279_1, all_365_1, all_22_7, % 76.34/11.81 | | | | all_22_7, simplifying with (568), (577) gives: % 76.34/11.81 | | | | (661) all_365_1 = all_279_1 % 76.34/11.81 | | | | % 76.34/11.81 | | | | GROUND_INST: instantiating (22) with all_30_0, all_333_1, all_22_2, % 76.34/11.81 | | | | all_22_7, simplifying with (52), (474) gives: % 76.34/11.81 | | | | (662) all_333_1 = all_30_0 % 76.34/11.81 | | | | % 76.34/11.81 | | | | GROUND_INST: instantiating (22) with all_333_1, all_367_0, all_22_2, % 76.34/11.81 | | | | all_22_7, simplifying with (474), (514) gives: % 76.34/11.81 | | | | (663) all_367_0 = all_333_1 % 76.34/11.81 | | | | % 76.34/11.81 | | | | GROUND_INST: instantiating (22) with all_163_0, all_367_0, all_22_2, % 76.34/11.81 | | | | all_22_7, simplifying with (376), (514) gives: % 76.34/11.81 | | | | (664) all_367_0 = all_163_0 % 76.34/11.81 | | | | % 76.34/11.81 | | | | GROUND_INST: instantiating (22) with all_77_0, all_297_1, all_30_0, % 76.34/11.81 | | | | all_22_7, simplifying with (169), (450) gives: % 76.34/11.81 | | | | (665) all_297_1 = all_77_0 % 76.34/11.81 | | | | % 76.34/11.81 | | | | GROUND_INST: instantiating (22) with all_97_0, all_335_1, all_32_0, % 76.34/11.81 | | | | all_22_7, simplifying with (221), (478) gives: % 76.34/11.81 | | | | (666) all_335_1 = all_97_0 % 76.34/11.81 | | | | % 76.34/11.81 | | | | GROUND_INST: instantiating (22) with all_36_0, all_145_0, all_22_8, % 76.34/11.81 | | | | all_22_4, simplifying with (64), (368) gives: % 76.34/11.81 | | | | (667) all_145_0 = all_36_0 % 76.34/11.81 | | | | % 76.34/11.81 | | | | GROUND_INST: instantiating (22) with all_93_0, all_371_1, all_22_9, % 76.34/11.81 | | | | all_30_0, simplifying with (209), (519) gives: % 76.34/11.81 | | | | (668) all_371_1 = all_93_0 % 76.34/11.81 | | | | % 76.34/11.81 | | | | GROUND_INST: instantiating (22) with all_95_0, all_379_1, all_22_7, % 76.34/11.81 | | | | all_30_0, simplifying with (215), (523) gives: % 76.34/11.81 | | | | (669) all_379_1 = all_95_0 % 76.34/11.81 | | | | % 76.34/11.81 | | | | GROUND_INST: instantiating (22) with all_323_0, all_351_1, all_22_6, % 76.34/11.81 | | | | all_30_0, simplifying with (467), (498) gives: % 76.34/11.81 | | | | (670) all_351_1 = all_323_0 % 76.34/11.81 | | | | % 76.34/11.81 | | | | GROUND_INST: instantiating (22) with all_91_0, all_361_1, all_22_9, % 76.34/11.81 | | | | all_32_0, simplifying with (203), (506) gives: % 76.34/11.81 | | | | (671) all_361_1 = all_91_0 % 76.34/11.81 | | | | % 76.34/11.81 | | | | GROUND_INST: instantiating (22) with all_81_0, all_289_1, all_22_7, % 76.34/11.81 | | | | all_32_0, simplifying with (179), (442) gives: % 76.34/11.81 | | | | (672) all_289_1 = all_81_0 % 76.34/11.81 | | | | % 76.34/11.81 | | | | GROUND_INST: instantiating (22) with all_353_1, all_403_0, all_22_6, % 76.34/11.81 | | | | all_32_0, simplifying with (500), (544) gives: % 76.34/11.81 | | | | (673) all_403_0 = all_353_1 % 76.34/11.81 | | | | % 76.34/11.81 | | | | GROUND_INST: instantiating (22) with all_99_0, all_307_1, all_22_8, % 76.34/11.81 | | | | all_34_0, simplifying with (227), (458) gives: % 76.34/11.81 | | | | (674) all_307_1 = all_99_0 % 76.34/11.81 | | | | % 76.34/11.81 | | | | GROUND_INST: instantiating (22) with all_75_0, all_303_1, all_22_8, % 76.34/11.81 | | | | all_36_0, simplifying with (164), (452) gives: % 76.34/11.81 | | | | (675) all_303_1 = all_75_0 % 76.34/11.81 | | | | % 76.34/11.81 | | | | COMBINE_EQS: (629), (630) imply: % 76.34/11.81 | | | | (676) all_413_1 = all_243_0 % 76.34/11.81 | | | | % 76.34/11.81 | | | | SIMP: (676) implies: % 76.34/11.82 | | | | (677) all_413_1 = all_243_0 % 76.34/11.82 | | | | % 76.34/11.82 | | | | COMBINE_EQS: (650), (651) imply: % 76.34/11.82 | | | | (678) all_395_1 = all_22_5 % 76.34/11.82 | | | | % 76.34/11.82 | | | | COMBINE_EQS: (651), (652) imply: % 76.34/11.82 | | | | (679) all_395_1 = all_363_1 % 76.34/11.82 | | | | % 76.34/11.82 | | | | COMBINE_EQS: (628), (677) imply: % 76.34/11.82 | | | | (680) all_345_1 = all_243_0 % 76.34/11.82 | | | | % 76.34/11.82 | | | | SIMP: (680) implies: % 76.34/11.82 | | | | (681) all_345_1 = all_243_0 % 76.34/11.82 | | | | % 76.34/11.82 | | | | COMBINE_EQS: (636), (637) imply: % 76.34/11.82 | | | | (682) all_399_1 = all_22_8 % 76.34/11.82 | | | | % 76.34/11.82 | | | | SIMP: (682) implies: % 76.34/11.82 | | | | (683) all_399_1 = all_22_8 % 76.34/11.82 | | | | % 76.34/11.82 | | | | COMBINE_EQS: (622), (623) imply: % 76.34/11.82 | | | | (684) all_401_0 = all_22_9 % 76.34/11.82 | | | | % 76.34/11.82 | | | | SIMP: (684) implies: % 76.34/11.82 | | | | (685) all_401_0 = all_22_9 % 76.34/11.82 | | | | % 76.34/11.82 | | | | COMBINE_EQS: (635), (683) imply: % 76.34/11.82 | | | | (686) all_397_1 = all_22_8 % 76.34/11.82 | | | | % 76.34/11.82 | | | | SIMP: (686) implies: % 76.34/11.82 | | | | (687) all_397_1 = all_22_8 % 76.34/11.82 | | | | % 76.34/11.82 | | | | COMBINE_EQS: (634), (687) imply: % 76.34/11.82 | | | | (688) all_305_0 = all_22_8 % 76.34/11.82 | | | | % 76.34/11.82 | | | | SIMP: (688) implies: % 76.34/11.82 | | | | (689) all_305_0 = all_22_8 % 76.34/11.82 | | | | % 76.34/11.82 | | | | COMBINE_EQS: (678), (679) imply: % 76.34/11.82 | | | | (690) all_363_1 = all_22_5 % 76.34/11.82 | | | | % 76.34/11.82 | | | | SIMP: (690) implies: % 76.34/11.82 | | | | (691) all_363_1 = all_22_5 % 76.34/11.82 | | | | % 76.34/11.82 | | | | COMBINE_EQS: (639), (640) imply: % 76.34/11.82 | | | | (692) all_387_0 = all_34_0 % 76.34/11.82 | | | | % 76.34/11.82 | | | | SIMP: (692) implies: % 76.34/11.82 | | | | (693) all_387_0 = all_34_0 % 76.34/11.82 | | | | % 76.34/11.82 | | | | COMBINE_EQS: (648), (649) imply: % 76.34/11.82 | | | | (694) all_363_1 = all_173_0 % 76.34/11.82 | | | | % 76.34/11.82 | | | | SIMP: (694) implies: % 76.34/11.82 | | | | (695) all_363_1 = all_173_0 % 76.34/11.82 | | | | % 76.34/11.82 | | | | COMBINE_EQS: (638), (693) imply: % 76.34/11.82 | | | | (696) all_241_0 = all_34_0 % 76.34/11.82 | | | | % 76.34/11.82 | | | | SIMP: (696) implies: % 76.34/11.82 | | | | (697) all_241_0 = all_34_0 % 76.34/11.82 | | | | % 76.34/11.82 | | | | COMBINE_EQS: (620), (621) imply: % 76.34/11.82 | | | | (698) all_289_0 = all_22_7 % 76.34/11.82 | | | | % 76.34/11.82 | | | | SIMP: (698) implies: % 76.34/11.82 | | | | (699) all_289_0 = all_22_7 % 76.34/11.82 | | | | % 76.34/11.82 | | | | COMBINE_EQS: (617), (618) imply: % 76.34/11.82 | | | | (700) all_361_0 = all_22_9 % 76.34/11.82 | | | | % 76.34/11.82 | | | | COMBINE_EQS: (663), (664) imply: % 76.34/11.82 | | | | (701) all_333_1 = all_163_0 % 76.34/11.82 | | | | % 76.34/11.82 | | | | SIMP: (701) implies: % 76.34/11.82 | | | | (702) all_333_1 = all_163_0 % 76.34/11.82 | | | | % 76.34/11.82 | | | | COMBINE_EQS: (660), (661) imply: % 76.34/11.82 | | | | (703) all_343_1 = all_279_1 % 76.34/11.82 | | | | % 76.34/11.82 | | | | SIMP: (703) implies: % 76.34/11.82 | | | | (704) all_343_1 = all_279_1 % 76.34/11.82 | | | | % 76.34/11.82 | | | | COMBINE_EQS: (691), (695) imply: % 76.34/11.82 | | | | (705) all_173_0 = all_22_5 % 76.34/11.82 | | | | % 76.34/11.82 | | | | COMBINE_EQS: (646), (647) imply: % 76.34/11.82 | | | | (706) all_335_0 = all_293_0 % 76.34/11.82 | | | | % 76.34/11.82 | | | | SIMP: (706) implies: % 76.34/11.82 | | | | (707) all_335_0 = all_293_0 % 76.34/11.82 | | | | % 76.34/11.82 | | | | COMBINE_EQS: (626), (627) imply: % 76.34/11.82 | | | | (708) all_331_1 = all_321_1 % 76.34/11.82 | | | | % 76.34/11.82 | | | | COMBINE_EQS: (625), (626) imply: % 76.34/11.82 | | | | (709) all_345_1 = all_331_1 % 76.34/11.82 | | | | % 76.34/11.82 | | | | SIMP: (709) implies: % 76.34/11.82 | | | | (710) all_345_1 = all_331_1 % 76.34/11.82 | | | | % 76.34/11.82 | | | | COMBINE_EQS: (658), (659) imply: % 76.34/11.82 | | | | (711) all_317_1 = all_291_1 % 76.34/11.82 | | | | % 76.34/11.82 | | | | SIMP: (711) implies: % 76.34/11.82 | | | | (712) all_317_1 = all_291_1 % 76.34/11.82 | | | | % 76.34/11.82 | | | | COMBINE_EQS: (657), (659) imply: % 76.34/11.82 | | | | (713) all_341_1 = all_291_1 % 76.34/11.82 | | | | % 76.34/11.82 | | | | SIMP: (713) implies: % 76.34/11.82 | | | | (714) all_341_1 = all_291_1 % 76.34/11.82 | | | | % 76.34/11.82 | | | | COMBINE_EQS: (681), (710) imply: % 76.34/11.82 | | | | (715) all_331_1 = all_243_0 % 76.34/11.82 | | | | % 76.34/11.82 | | | | SIMP: (715) implies: % 76.34/11.82 | | | | (716) all_331_1 = all_243_0 % 76.34/11.82 | | | | % 76.34/11.82 | | | | COMBINE_EQS: (656), (704) imply: % 76.34/11.82 | | | | (717) all_341_1 = all_279_1 % 76.34/11.82 | | | | % 76.34/11.82 | | | | SIMP: (717) implies: % 76.34/11.82 | | | | (718) all_341_1 = all_279_1 % 76.34/11.82 | | | | % 76.34/11.82 | | | | COMBINE_EQS: (654), (655) imply: % 76.34/11.82 | | | | (719) all_319_1 = all_161_0 % 76.34/11.82 | | | | % 76.34/11.82 | | | | COMBINE_EQS: (654), (718) imply: % 76.34/11.82 | | | | (720) all_319_1 = all_279_1 % 76.34/11.82 | | | | % 76.34/11.82 | | | | COMBINE_EQS: (654), (714) imply: % 76.34/11.82 | | | | (721) all_319_1 = all_291_1 % 76.34/11.82 | | | | % 76.34/11.82 | | | | COMBINE_EQS: (645), (707) imply: % 76.34/11.82 | | | | (722) all_327_1 = all_293_0 % 76.34/11.82 | | | | % 76.34/11.82 | | | | SIMP: (722) implies: % 76.34/11.82 | | | | (723) all_327_1 = all_293_0 % 76.34/11.82 | | | | % 76.34/11.82 | | | | COMBINE_EQS: (662), (702) imply: % 76.34/11.82 | | | | (724) all_163_0 = all_30_0 % 76.34/11.82 | | | | % 76.34/11.82 | | | | SIMP: (724) implies: % 76.34/11.82 | | | | (725) all_163_0 = all_30_0 % 76.34/11.82 | | | | % 76.34/11.82 | | | | COMBINE_EQS: (708), (716) imply: % 76.34/11.82 | | | | (726) all_321_1 = all_243_0 % 76.34/11.82 | | | | % 76.34/11.82 | | | | SIMP: (726) implies: % 76.34/11.82 | | | | (727) all_321_1 = all_243_0 % 76.34/11.82 | | | | % 76.34/11.82 | | | | COMBINE_EQS: (644), (723) imply: % 76.34/11.82 | | | | (728) all_297_0 = all_293_0 % 76.34/11.82 | | | | % 76.34/11.82 | | | | SIMP: (728) implies: % 76.34/11.82 | | | | (729) all_297_0 = all_293_0 % 76.34/11.82 | | | | % 76.34/11.82 | | | | COMBINE_EQS: (624), (727) imply: % 76.34/11.82 | | | | (730) all_243_0 = all_22_6 % 76.34/11.82 | | | | % 76.34/11.82 | | | | COMBINE_EQS: (719), (720) imply: % 76.34/11.82 | | | | (731) all_279_1 = all_161_0 % 76.34/11.82 | | | | % 76.34/11.82 | | | | COMBINE_EQS: (720), (721) imply: % 76.34/11.82 | | | | (732) all_291_1 = all_279_1 % 76.34/11.82 | | | | % 76.34/11.82 | | | | SIMP: (732) implies: % 76.34/11.82 | | | | (733) all_291_1 = all_279_1 % 76.34/11.82 | | | | % 76.34/11.82 | | | | COMBINE_EQS: (653), (712) imply: % 76.34/11.82 | | | | (734) all_291_1 = all_227_0 % 76.34/11.82 | | | | % 76.34/11.82 | | | | SIMP: (734) implies: % 76.34/11.82 | | | | (735) all_291_1 = all_227_0 % 76.34/11.82 | | | | % 76.34/11.82 | | | | COMBINE_EQS: (633), (689) imply: % 76.34/11.82 | | | | (736) all_281_0 = all_22_8 % 76.34/11.82 | | | | % 76.34/11.82 | | | | COMBINE_EQS: (643), (729) imply: % 76.34/11.82 | | | | (737) all_293_0 = all_22_7 % 76.34/11.82 | | | | % 76.34/11.82 | | | | COMBINE_EQS: (733), (735) imply: % 76.34/11.82 | | | | (738) all_279_1 = all_227_0 % 76.34/11.82 | | | | % 76.34/11.82 | | | | SIMP: (738) implies: % 76.34/11.82 | | | | (739) all_279_1 = all_227_0 % 76.34/11.82 | | | | % 76.34/11.82 | | | | COMBINE_EQS: (731), (739) imply: % 76.34/11.82 | | | | (740) all_227_0 = all_161_0 % 76.34/11.82 | | | | % 76.34/11.82 | | | | COMBINE_EQS: (607), (608) imply: % 76.34/11.82 | | | | (741) all_261_0 = all_233_0 % 76.34/11.82 | | | | % 76.34/11.82 | | | | COMBINE_EQS: (607), (609) imply: % 76.34/11.82 | | | | (742) all_261_0 = all_217_0 % 76.34/11.82 | | | | % 76.34/11.82 | | | | COMBINE_EQS: (741), (742) imply: % 76.34/11.82 | | | | (743) all_233_0 = all_217_0 % 76.34/11.82 | | | | % 76.34/11.82 | | | | SIMP: (743) implies: % 76.34/11.82 | | | | (744) all_233_0 = all_217_0 % 76.34/11.82 | | | | % 76.34/11.82 | | | | COMBINE_EQS: (612), (613) imply: % 76.34/11.82 | | | | (745) all_129_0 = all_22_6 % 76.34/11.82 | | | | % 76.34/11.82 | | | | SIMP: (745) implies: % 76.34/11.82 | | | | (746) all_129_0 = all_22_6 % 76.34/11.82 | | | | % 76.34/11.82 | | | | COMBINE_EQS: (610), (611) imply: % 76.34/11.82 | | | | (747) all_129_0 = all_127_0 % 76.34/11.82 | | | | % 76.34/11.82 | | | | SIMP: (747) implies: % 76.34/11.82 | | | | (748) all_129_0 = all_127_0 % 76.34/11.82 | | | | % 76.34/11.82 | | | | COMBINE_EQS: (746), (748) imply: % 76.34/11.82 | | | | (749) all_127_0 = all_22_6 % 76.34/11.82 | | | | % 76.34/11.82 | | | | COMBINE_EQS: (707), (737) imply: % 76.34/11.82 | | | | (750) all_335_0 = all_22_7 % 76.34/11.82 | | | | % 76.34/11.82 | | | | COMBINE_EQS: (681), (730) imply: % 76.34/11.82 | | | | (751) all_345_1 = all_22_6 % 76.34/11.82 | | | | % 76.34/11.82 | | | | COMBINE_EQS: (649), (705) imply: % 76.34/11.82 | | | | (752) all_389_1 = all_22_5 % 76.34/11.82 | | | | % 76.34/11.82 | | | | COMBINE_EQS: (630), (730) imply: % 76.34/11.82 | | | | (753) all_417_1 = all_22_6 % 76.34/11.82 | | | | % 76.34/11.82 | | | | REDUCE: (413), (697) imply: % 76.34/11.82 | | | | (754) multiplication(all_34_0, all_22_8) = all_87_0 % 76.34/11.82 | | | | % 76.34/11.82 | | | | REDUCE: (377), (725) imply: % 76.34/11.82 | | | | (755) multiplication(all_30_0, all_22_7) = all_97_0 % 76.34/11.82 | | | | % 76.34/11.82 | | | | REDUCE: (381), (705) imply: % 76.34/11.82 | | | | (756) multiplication(all_22_2, all_22_5) = all_91_0 % 76.34/11.82 | | | | % 76.34/11.82 | | | | REDUCE: (367), (667) imply: % 76.34/11.82 | | | | (757) multiplication(all_22_8, all_36_0) = all_99_0 % 76.34/11.82 | | | | % 76.34/11.82 | | | | REDUCE: (561), (753) imply: % 76.34/11.82 | | | | (758) addition(all_22_6, all_417_0) = all_51_2 % 76.34/11.82 | | | | % 76.34/11.82 | | | | REDUCE: (550), (637), (642) imply: % 76.34/11.82 | | | | (759) addition(all_87_0, all_22_8) = all_34_0 % 76.34/11.82 | | | | % 76.34/11.82 | | | | REDUCE: (546), (623), (632) imply: % 76.34/11.82 | | | | (760) addition(all_101_0, all_22_9) = all_22_3 % 76.34/11.82 | | | | % 76.34/11.82 | | | | REDUCE: (528), (752) imply: % 76.34/11.82 | | | | (761) addition(all_22_5, all_389_0) = all_91_0 % 76.34/11.82 | | | | % 76.34/11.82 | | | | REDUCE: (521), (621), (669) imply: % 76.34/11.82 | | | | (762) addition(all_95_0, all_22_7) = all_32_0 % 76.34/11.82 | | | | % 76.34/11.82 | | | | REDUCE: (517), (618), (668) imply: % 76.34/11.82 | | | | (763) addition(all_93_0, all_22_9) = all_22_1 % 76.34/11.82 | | | | % 76.34/11.82 | | | | REDUCE: (489), (751) imply: % 76.34/11.82 | | | | (764) addition(all_22_6, all_345_0) = all_89_0 % 76.34/11.82 | | | | % 76.34/11.82 | | | | REDUCE: (481), (655) imply: % 76.34/11.82 | | | | (765) addition(all_161_0, all_341_0) = all_97_0 % 76.34/11.82 | | | | % 76.34/11.82 | | | | REDUCE: (476), (666), (750) imply: % 76.34/11.82 | | | | (766) addition(all_97_0, all_22_7) = all_30_0 % 76.34/11.82 | | | | % 76.34/11.82 | | | | REDUCE: (456), (619), (674) imply: % 76.34/11.82 | | | | (767) addition(all_99_0, all_22_8) = all_36_0 % 76.34/11.82 | | | | % 76.34/11.82 | | | | REDUCE: (432), (609) imply: % 76.34/11.82 | | | | (768) addition(all_217_0, all_81_0) = all_22_2 % 76.34/11.82 | | | | % 76.34/11.82 | | | | REDUCE: (405), (740) imply: % 76.34/11.82 | | | | (769) $i(all_161_0) % 76.34/11.82 | | | | % 76.34/11.82 | | | | GROUND_INST: instantiating (22) with all_95_0, all_97_0, all_22_7, % 76.34/11.82 | | | | all_30_0, simplifying with (215), (755) gives: % 76.34/11.82 | | | | (770) all_97_0 = all_95_0 % 76.34/11.82 | | | | % 76.34/11.82 | | | | GROUND_INST: instantiating (22) with all_99_0, all_87_0, all_22_8, % 76.34/11.82 | | | | all_34_0, simplifying with (227), (754) gives: % 76.34/11.82 | | | | (771) all_99_0 = all_87_0 % 76.34/11.82 | | | | % 76.34/11.82 | | | | REDUCE: (535), (770) imply: % 76.34/11.82 | | | | (772) multiplication(all_95_0, all_22_9) = all_395_0 % 76.34/11.82 | | | | % 76.34/11.82 | | | | REDUCE: (512), (770) imply: % 76.34/11.82 | | | | (773) multiplication(all_22_7, all_95_0) = all_365_0 % 76.34/11.82 | | | | % 76.34/11.82 | | | | REDUCE: (221), (770) imply: % 76.34/11.82 | | | | (774) multiplication(all_22_7, all_32_0) = all_95_0 % 76.34/11.82 | | | | % 76.34/11.82 | | | | REDUCE: (555), (771) imply: % 76.34/11.82 | | | | (775) multiplication(all_22_9, all_87_0) = all_413_0 % 76.34/11.82 | | | | % 76.34/11.82 | | | | REDUCE: (765), (770) imply: % 76.34/11.82 | | | | (776) addition(all_161_0, all_341_0) = all_95_0 % 76.34/11.82 | | | | % 76.34/11.82 | | | | REDUCE: (767), (771) imply: % 76.34/11.82 | | | | (777) addition(all_87_0, all_22_8) = all_36_0 % 76.34/11.82 | | | | % 76.34/11.82 | | | | REDUCE: (766), (770) imply: % 76.34/11.82 | | | | (778) addition(all_95_0, all_22_7) = all_30_0 % 76.34/11.82 | | | | % 76.34/11.82 | | | | REDUCE: (408), (770) imply: % 76.34/11.82 | | | | (779) addition(all_95_0, one) = all_229_0 % 76.34/11.82 | | | | % 76.34/11.82 | | | | GROUND_INST: instantiating (21) with all_34_0, all_36_0, all_22_8, % 76.34/11.82 | | | | all_87_0, simplifying with (759), (777) gives: % 76.34/11.82 | | | | (780) all_36_0 = all_34_0 % 76.34/11.82 | | | | % 76.34/11.82 | | | | GROUND_INST: instantiating (21) with all_257_0, all_229_0, one, % 76.34/11.82 | | | | all_95_0, simplifying with (425), (779) gives: % 76.34/11.82 | | | | (781) all_257_0 = all_229_0 % 76.34/11.82 | | | | % 76.34/11.82 | | | | GROUND_INST: instantiating (21) with all_32_0, all_30_0, all_22_7, % 76.34/11.82 | | | | all_95_0, simplifying with (762), (778) gives: % 76.34/11.82 | | | | (782) all_32_0 = all_30_0 % 76.34/11.82 | | | | % 76.34/11.82 | | | | GROUND_INST: instantiating (22) with all_349_0, all_413_0, all_87_0, % 76.34/11.82 | | | | all_22_9, simplifying with (496), (775) gives: % 76.34/11.82 | | | | (783) all_413_0 = all_349_0 % 76.34/11.82 | | | | % 76.34/11.83 | | | | GROUND_INST: instantiating (22) with all_343_0, all_365_0, all_95_0, % 76.34/11.83 | | | | all_22_7, simplifying with (486), (773) gives: % 76.34/11.83 | | | | (784) all_365_0 = all_343_0 % 76.34/11.83 | | | | % 76.34/11.83 | | | | GROUND_INST: instantiating (22) with all_415_0, all_395_0, all_22_9, % 76.34/11.83 | | | | all_95_0, simplifying with (558), (772) gives: % 76.34/11.83 | | | | (785) all_415_0 = all_395_0 % 76.34/11.83 | | | | % 76.34/11.83 | | | | REDUCE: (164), (780) imply: % 76.34/11.83 | | | | (786) multiplication(all_34_0, all_22_8) = all_75_0 % 76.34/11.83 | | | | % 76.34/11.83 | | | | REDUCE: (500), (782) imply: % 76.34/11.83 | | | | (787) multiplication(all_30_0, all_22_6) = all_353_1 % 76.34/11.83 | | | | % 76.34/11.83 | | | | REDUCE: (179), (782) imply: % 76.34/11.83 | | | | (788) multiplication(all_30_0, all_22_7) = all_81_0 % 76.34/11.83 | | | | % 76.34/11.83 | | | | REDUCE: (203), (782) imply: % 76.34/11.83 | | | | (789) multiplication(all_30_0, all_22_9) = all_91_0 % 76.34/11.83 | | | | % 76.34/11.83 | | | | REDUCE: (774), (782) imply: % 76.34/11.83 | | | | (790) multiplication(all_22_7, all_30_0) = all_95_0 % 76.34/11.83 | | | | % 76.34/11.83 | | | | REDUCE: (193), (780) imply: % 76.34/11.83 | | | | (791) multiplication(all_22_8, all_34_0) = all_87_0 % 76.34/11.83 | | | | % 76.34/11.83 | | | | REDUCE: (233), (780) imply: % 76.34/11.83 | | | | (792) multiplication(all_22_9, all_34_0) = all_101_0 % 76.34/11.83 | | | | % 76.34/11.83 | | | | GROUND_INST: instantiating (22) with all_89_0, all_101_0, all_34_0, % 76.34/11.83 | | | | all_22_9, simplifying with (198), (792) gives: % 76.34/11.83 | | | | (793) all_101_0 = all_89_0 % 76.34/11.83 | | | | % 76.34/11.83 | | | | GROUND_INST: instantiating (22) with all_79_0, all_87_0, all_34_0, % 76.34/11.83 | | | | all_22_8, simplifying with (174), (791) gives: % 76.34/11.83 | | | | (794) all_87_0 = all_79_0 % 76.34/11.83 | | | | % 76.34/11.83 | | | | GROUND_INST: instantiating (22) with all_77_0, all_95_0, all_30_0, % 76.34/11.83 | | | | all_22_7, simplifying with (169), (790) gives: % 76.34/11.83 | | | | (795) all_95_0 = all_77_0 % 76.34/11.83 | | | | % 76.34/11.83 | | | | GROUND_INST: instantiating (22) with all_93_0, all_91_0, all_22_9, % 76.34/11.83 | | | | all_30_0, simplifying with (209), (789) gives: % 76.34/11.83 | | | | (796) all_93_0 = all_91_0 % 76.34/11.83 | | | | % 76.34/11.83 | | | | GROUND_INST: instantiating (22) with all_95_0, all_81_0, all_22_7, % 76.34/11.83 | | | | all_30_0, simplifying with (215), (788) gives: % 76.34/11.83 | | | | (797) all_95_0 = all_81_0 % 76.34/11.83 | | | | % 76.34/11.83 | | | | GROUND_INST: instantiating (22) with all_323_0, all_353_1, all_22_6, % 76.34/11.83 | | | | all_30_0, simplifying with (467), (787) gives: % 76.34/11.83 | | | | (798) all_353_1 = all_323_0 % 76.34/11.83 | | | | % 76.34/11.83 | | | | GROUND_INST: instantiating (22) with all_87_0, all_75_0, all_22_8, % 76.34/11.83 | | | | all_34_0, simplifying with (754), (786) gives: % 76.34/11.83 | | | | (799) all_87_0 = all_75_0 % 76.34/11.83 | | | | % 76.34/11.83 | | | | COMBINE_EQS: (795), (797) imply: % 76.34/11.83 | | | | (800) all_81_0 = all_77_0 % 76.34/11.83 | | | | % 76.34/11.83 | | | | SIMP: (800) implies: % 76.34/11.83 | | | | (801) all_81_0 = all_77_0 % 76.34/11.83 | | | | % 76.34/11.83 | | | | COMBINE_EQS: (794), (799) imply: % 76.34/11.83 | | | | (802) all_79_0 = all_75_0 % 76.34/11.83 | | | | % 76.34/11.83 | | | | REDUCE: (772), (795) imply: % 76.34/11.83 | | | | (803) multiplication(all_77_0, all_22_9) = all_395_0 % 76.34/11.83 | | | | % 76.34/11.83 | | | | REDUCE: (465), (796) imply: % 76.34/11.83 | | | | (804) multiplication(all_91_0, all_22_8) = all_321_0 % 76.34/11.83 | | | | % 76.34/11.83 | | | | REDUCE: (530), (801) imply: % 76.34/11.83 | | | | (805) multiplication(all_77_0, all_22_9) = all_389_0 % 76.34/11.83 | | | | % 76.34/11.83 | | | | REDUCE: (486), (795) imply: % 76.34/11.83 | | | | (806) multiplication(all_22_7, all_77_0) = all_343_0 % 76.34/11.83 | | | | % 76.34/11.83 | | | | REDUCE: (483), (801) imply: % 76.34/11.83 | | | | (807) multiplication(all_22_7, all_77_0) = all_341_0 % 76.34/11.83 | | | | % 76.34/11.83 | | | | REDUCE: (496), (799) imply: % 76.34/11.83 | | | | (808) multiplication(all_22_9, all_75_0) = all_349_0 % 76.34/11.83 | | | | % 76.34/11.83 | | | | REDUCE: (491), (802) imply: % 76.34/11.83 | | | | (809) multiplication(all_22_9, all_75_0) = all_345_0 % 76.34/11.83 | | | | % 76.34/11.83 | | | | REDUCE: (768), (801) imply: % 76.34/11.83 | | | | (810) addition(all_217_0, all_77_0) = all_22_2 % 76.34/11.83 | | | | % 76.34/11.83 | | | | REDUCE: (386), (796) imply: % 76.34/11.83 | | | | (811) addition(all_191_0, all_91_0) = all_115_0 % 76.34/11.83 | | | | % 76.34/11.83 | | | | REDUCE: (776), (795) imply: % 76.34/11.83 | | | | (812) addition(all_161_0, all_341_0) = all_77_0 % 76.34/11.83 | | | | % 76.34/11.83 | | | | REDUCE: (760), (793) imply: % 76.34/11.83 | | | | (813) addition(all_89_0, all_22_9) = all_22_3 % 76.34/11.83 | | | | % 76.34/11.83 | | | | REDUCE: (779), (795) imply: % 76.34/11.83 | | | | (814) addition(all_77_0, one) = all_229_0 % 76.34/11.83 | | | | % 76.34/11.83 | | | | REDUCE: (383), (796) imply: % 76.34/11.83 | | | | (815) addition(all_91_0, all_22_3) = all_187_0 % 76.34/11.83 | | | | % 76.34/11.83 | | | | REDUCE: (763), (796) imply: % 76.34/11.83 | | | | (816) addition(all_91_0, all_22_9) = all_22_1 % 76.34/11.83 | | | | % 76.34/11.83 | | | | REDUCE: (390), (801) imply: % 76.34/11.83 | | | | (817) addition(all_77_0, one) = all_201_0 % 76.34/11.83 | | | | % 76.34/11.83 | | | | REDUCE: (591), (793) imply: % 76.34/11.83 | | | | (818) addition(all_22_9, all_89_0) = all_22_3 % 76.34/11.83 | | | | % 76.34/11.83 | | | | REDUCE: (590), (796) imply: % 76.34/11.83 | | | | (819) addition(all_22_9, all_91_0) = all_22_1 % 76.34/11.83 | | | | % 76.34/11.83 | | | | GROUND_INST: instantiating (21) with all_205_0, all_229_0, one, % 76.34/11.83 | | | | all_77_0, simplifying with (394), (814) gives: % 76.34/11.83 | | | | (820) all_229_0 = all_205_0 % 76.34/11.83 | | | | % 76.34/11.83 | | | | GROUND_INST: instantiating (21) with all_201_0, all_229_0, one, % 76.34/11.83 | | | | all_77_0, simplifying with (814), (817) gives: % 76.34/11.83 | | | | (821) all_229_0 = all_201_0 % 76.34/11.83 | | | | % 76.34/11.83 | | | | GROUND_INST: instantiating (21) with all_147_0, all_187_0, all_22_3, % 76.34/11.83 | | | | all_91_0, simplifying with (370), (815) gives: % 76.34/11.83 | | | | (822) all_187_0 = all_147_0 % 76.34/11.83 | | | | % 76.34/11.83 | | | | GROUND_INST: instantiating (22) with all_331_0, all_349_0, all_75_0, % 76.34/11.83 | | | | all_22_9, simplifying with (472), (808) gives: % 76.34/11.83 | | | | (823) all_349_0 = all_331_0 % 76.34/11.83 | | | | % 76.34/11.83 | | | | GROUND_INST: instantiating (22) with all_345_0, all_349_0, all_75_0, % 76.34/11.83 | | | | all_22_9, simplifying with (808), (809) gives: % 76.34/11.83 | | | | (824) all_349_0 = all_345_0 % 76.34/11.83 | | | | % 76.34/11.83 | | | | GROUND_INST: instantiating (22) with all_291_0, all_343_0, all_77_0, % 76.34/11.83 | | | | all_22_7, simplifying with (445), (806) gives: % 76.34/11.83 | | | | (825) all_343_0 = all_291_0 % 76.34/11.83 | | | | % 76.34/11.83 | | | | GROUND_INST: instantiating (22) with all_341_0, all_343_0, all_77_0, % 76.34/11.83 | | | | all_22_7, simplifying with (806), (807) gives: % 76.34/11.83 | | | | (826) all_343_0 = all_341_0 % 76.34/11.83 | | | | % 76.34/11.83 | | | | GROUND_INST: instantiating (22) with all_363_0, all_395_0, all_22_9, % 76.34/11.83 | | | | all_77_0, simplifying with (509), (803) gives: % 76.34/11.83 | | | | (827) all_395_0 = all_363_0 % 76.34/11.83 | | | | % 76.34/11.83 | | | | GROUND_INST: instantiating (22) with all_389_0, all_395_0, all_22_9, % 76.34/11.83 | | | | all_77_0, simplifying with (803), (805) gives: % 76.34/11.83 | | | | (828) all_395_0 = all_389_0 % 76.34/11.83 | | | | % 76.34/11.83 | | | | GROUND_INST: instantiating (22) with all_417_0, all_321_0, all_22_8, % 76.34/11.83 | | | | all_91_0, simplifying with (563), (804) gives: % 76.34/11.83 | | | | (829) all_417_0 = all_321_0 % 76.34/11.83 | | | | % 76.34/11.83 | | | | COMBINE_EQS: (827), (828) imply: % 76.34/11.83 | | | | (830) all_389_0 = all_363_0 % 76.34/11.83 | | | | % 76.34/11.83 | | | | SIMP: (830) implies: % 76.34/11.83 | | | | (831) all_389_0 = all_363_0 % 76.34/11.83 | | | | % 76.34/11.83 | | | | COMBINE_EQS: (823), (824) imply: % 76.34/11.83 | | | | (832) all_345_0 = all_331_0 % 76.34/11.83 | | | | % 76.34/11.83 | | | | SIMP: (832) implies: % 76.34/11.83 | | | | (833) all_345_0 = all_331_0 % 76.34/11.83 | | | | % 76.34/11.83 | | | | COMBINE_EQS: (825), (826) imply: % 76.34/11.83 | | | | (834) all_341_0 = all_291_0 % 76.34/11.83 | | | | % 76.34/11.83 | | | | COMBINE_EQS: (820), (821) imply: % 76.34/11.83 | | | | (835) all_205_0 = all_201_0 % 76.34/11.83 | | | | % 76.34/11.83 | | | | REDUCE: (812), (834) imply: % 76.34/11.83 | | | | (836) addition(all_161_0, all_291_0) = all_77_0 % 76.34/11.83 | | | | % 76.34/11.83 | | | | REDUCE: (761), (831) imply: % 76.34/11.83 | | | | (837) addition(all_22_5, all_363_0) = all_91_0 % 76.34/11.83 | | | | % 76.34/11.83 | | | | REDUCE: (758), (829) imply: % 76.34/11.83 | | | | (838) addition(all_22_6, all_321_0) = all_51_2 % 76.34/11.83 | | | | % 76.34/11.83 | | | | REDUCE: (764), (833) imply: % 76.34/11.83 | | | | (839) addition(all_22_6, all_331_0) = all_89_0 % 76.34/11.83 | | | | % 76.34/11.83 | | | | REDUCE: (592), (835) imply: % 76.34/11.83 | | | | (840) addition(all_22_7, all_201_0) = all_22_2 % 76.34/11.83 | | | | % 76.34/11.83 | | | | REDUCE: (560), (829) imply: % 76.34/11.83 | | | | (841) $i(all_321_0) % 76.34/11.83 | | | | % 76.34/11.83 | | | | REDUCE: (527), (831) imply: % 76.34/11.83 | | | | (842) $i(all_363_0) % 76.34/11.83 | | | | % 76.34/11.83 | | | | REDUCE: (488), (833) imply: % 76.34/11.83 | | | | (843) $i(all_331_0) % 76.34/11.83 | | | | % 76.34/11.83 | | | | REDUCE: (480), (834) imply: % 76.34/11.83 | | | | (844) $i(all_291_0) % 76.34/11.83 | | | | % 76.34/11.83 | | | | REDUCE: (392), (835) imply: % 76.34/11.83 | | | | (845) $i(all_201_0) % 76.34/11.83 | | | | % 76.34/11.83 | | | | GROUND_INST: instantiating (1) with all_22_7, one, all_217_0, % 76.34/11.83 | | | | simplifying with (15), (27), (606) gives: % 76.34/11.83 | | | | (846) addition(all_22_7, one) = all_217_0 & $i(all_217_0) % 76.34/11.83 | | | | % 76.34/11.83 | | | | ALPHA: (846) implies: % 76.34/11.83 | | | | (847) $i(all_217_0) % 76.34/11.83 | | | | % 76.34/11.83 | | | | GROUND_INST: instantiating (idempotence) with all_22_9, all_223_0, % 76.34/11.83 | | | | simplifying with (25), (402) gives: % 76.34/11.83 | | | | (848) all_223_0 = all_22_9 % 76.34/11.83 | | | | % 76.34/11.83 | | | | GROUND_INST: instantiating (2) with all_91_0, all_22_9, all_22_9, % 76.34/11.83 | | | | all_22_1, all_255_0, simplifying with (25), (200), (423), % 76.34/11.83 | | | | (819) gives: % 76.34/11.83 | | | | (849) ? [v0: $i] : (addition(v0, all_91_0) = all_255_0 & % 76.34/11.83 | | | | addition(all_22_9, all_22_9) = v0 & $i(v0) & $i(all_255_0)) % 76.34/11.83 | | | | % 76.34/11.83 | | | | GROUND_INST: instantiating (1) with all_201_0, all_22_7, all_22_2, % 76.34/11.83 | | | | simplifying with (27), (840), (845) gives: % 76.34/11.83 | | | | (850) addition(all_201_0, all_22_7) = all_22_2 & $i(all_22_2) % 76.34/11.83 | | | | % 76.34/11.83 | | | | GROUND_INST: instantiating (8) with all_22_2, all_22_6, all_22_6, % 76.34/11.83 | | | | all_22_6, all_51_2, simplifying with (28), (94), (247), % 76.34/11.83 | | | | (602) gives: % 76.34/11.83 | | | | (851) ? [v0: $i] : ? [v1: $i] : (multiplication(all_22_2, all_22_6) % 76.34/11.83 | | | | = v1 & multiplication(all_22_2, all_22_6) = v0 & addition(v0, % 76.34/11.83 | | | | v1) = all_51_2 & $i(v1) & $i(v0) & $i(all_51_2)) % 76.34/11.83 | | | | % 76.34/11.83 | | | | GROUND_INST: instantiating (1) with all_321_0, all_22_6, all_51_2, % 76.34/11.83 | | | | simplifying with (28), (838), (841) gives: % 76.34/11.83 | | | | (852) addition(all_321_0, all_22_6) = all_51_2 & $i(all_51_2) % 76.34/11.83 | | | | % 76.34/11.83 | | | | GROUND_INST: instantiating (1) with all_331_0, all_22_6, all_89_0, % 76.34/11.83 | | | | simplifying with (28), (839), (843) gives: % 76.34/11.83 | | | | (853) addition(all_331_0, all_22_6) = all_89_0 & $i(all_89_0) % 76.34/11.83 | | | | % 76.34/11.83 | | | | GROUND_INST: instantiating (1) with all_363_0, all_22_5, all_91_0, % 76.34/11.83 | | | | simplifying with (29), (837), (842) gives: % 76.34/11.83 | | | | (854) addition(all_363_0, all_22_5) = all_91_0 & $i(all_91_0) % 76.34/11.83 | | | | % 76.34/11.83 | | | | GROUND_INST: instantiating (3) with all_22_9, all_91_0, all_22_9, % 76.34/11.83 | | | | all_22_1, all_149_0, simplifying with (25), (200), (598), % 76.34/11.83 | | | | (819) gives: % 76.34/11.83 | | | | (855) ? [v0: $i] : (addition(all_91_0, all_22_9) = v0 & % 76.34/11.83 | | | | addition(all_22_9, v0) = all_149_0 & $i(v0) & $i(all_149_0)) % 76.34/11.83 | | | | % 76.34/11.83 | | | | GROUND_INST: instantiating (2) with all_91_0, all_22_9, all_51_2, % 76.34/11.83 | | | | all_22_1, all_253_0, simplifying with (25), (85), (200), % 76.34/11.83 | | | | (421), (819) gives: % 76.34/11.83 | | | | (856) ? [v0: $i] : (addition(v0, all_91_0) = all_253_0 & % 76.34/11.83 | | | | addition(all_51_2, all_22_9) = v0 & $i(v0) & $i(all_253_0)) % 76.34/11.83 | | | | % 76.34/11.83 | | | | GROUND_INST: instantiating (3) with all_22_9, all_22_9, all_51_2, % 76.34/11.83 | | | | all_51_1, all_191_0, simplifying with (25), (85), (86), % 76.34/11.83 | | | | (596) gives: % 76.34/11.83 | | | | (857) ? [v0: $i] : (addition(all_51_2, v0) = all_191_0 & % 76.34/11.83 | | | | addition(all_22_9, all_22_9) = v0 & $i(v0) & $i(all_191_0)) % 76.34/11.83 | | | | % 76.34/11.83 | | | | GROUND_INST: instantiating (3) with all_22_9, all_51_2, all_22_9, % 76.34/11.83 | | | | all_51_1, all_191_0, simplifying with (25), (85), (117), % 76.34/11.83 | | | | (596) gives: % 76.34/11.83 | | | | (858) ? [v0: $i] : (addition(all_51_2, all_22_9) = v0 & % 76.34/11.83 | | | | addition(all_22_9, v0) = all_191_0 & $i(v0) & $i(all_191_0)) % 76.34/11.83 | | | | % 76.49/11.83 | | | | GROUND_INST: instantiating (3) with all_22_9, all_22_9, all_89_0, % 76.49/11.83 | | | | all_22_3, all_199_0, simplifying with (25), (195), (600), % 76.49/11.83 | | | | (813) gives: % 76.49/11.84 | | | | (859) ? [v0: $i] : (addition(all_89_0, v0) = all_199_0 & % 76.49/11.84 | | | | addition(all_22_9, all_22_9) = v0 & $i(v0) & $i(all_199_0)) % 76.49/11.84 | | | | % 76.49/11.84 | | | | GROUND_INST: instantiating (2) with all_22_9, all_91_0, all_51_1, % 76.49/11.84 | | | | all_22_1, all_115_0, simplifying with (25), (116), (200), % 76.49/11.84 | | | | (239), (816) gives: % 76.49/11.84 | | | | (860) ? [v0: $i] : (addition(v0, all_22_9) = all_115_0 & % 76.49/11.84 | | | | addition(all_51_1, all_91_0) = v0 & $i(v0) & $i(all_115_0)) % 76.49/11.84 | | | | % 76.49/11.84 | | | | GROUND_INST: instantiating (2) with all_22_9, all_91_0, all_51_2, % 76.49/11.84 | | | | all_22_1, all_253_0, simplifying with (25), (85), (200), % 76.49/11.84 | | | | (421), (816) gives: % 76.49/11.84 | | | | (861) ? [v0: $i] : (addition(v0, all_22_9) = all_253_0 & % 76.49/11.84 | | | | addition(all_51_2, all_91_0) = v0 & $i(v0) & $i(all_253_0)) % 76.49/11.84 | | | | % 76.49/11.84 | | | | GROUND_INST: instantiating (3) with all_22_9, all_22_9, all_91_0, % 76.49/11.84 | | | | all_22_1, all_149_0, simplifying with (25), (200), (598), % 76.49/11.84 | | | | (816) gives: % 76.49/11.84 | | | | (862) ? [v0: $i] : (addition(all_91_0, v0) = all_149_0 & % 76.49/11.84 | | | | addition(all_22_9, all_22_9) = v0 & $i(v0) & $i(all_149_0)) % 76.49/11.84 | | | | % 76.49/11.84 | | | | GROUND_INST: instantiating (2) with all_89_0, all_22_9, all_91_0, % 76.49/11.84 | | | | all_22_3, all_147_0, simplifying with (25), (195), (200), % 76.49/11.84 | | | | (370), (818) gives: % 76.49/11.84 | | | | (863) ? [v0: $i] : (addition(v0, all_89_0) = all_147_0 & % 76.49/11.84 | | | | addition(all_91_0, all_22_9) = v0 & $i(v0) & $i(all_147_0)) % 76.49/11.84 | | | | % 76.49/11.84 | | | | GROUND_INST: instantiating (1) with all_291_0, all_161_0, all_77_0, % 76.49/11.84 | | | | simplifying with (769), (836), (844) gives: % 76.49/11.84 | | | | (864) addition(all_291_0, all_161_0) = all_77_0 & $i(all_77_0) % 76.49/11.84 | | | | % 76.49/11.84 | | | | GROUND_INST: instantiating (1) with all_77_0, all_217_0, all_22_2, % 76.49/11.84 | | | | simplifying with (166), (810), (847) gives: % 76.49/11.84 | | | | (865) addition(all_77_0, all_217_0) = all_22_2 & $i(all_22_2) % 76.49/11.84 | | | | % 76.49/11.84 | | | | GROUND_INST: instantiating (9) with one, all_22_9, all_22_9, all_22_9, % 76.49/11.84 | | | | all_22_9, all_223_0, simplifying with (15), (25), (402), % 76.49/11.84 | | | | (589) gives: % 76.49/11.84 | | | | (866) ? [v0: $i] : (multiplication(one, v0) = all_223_0 & % 76.49/11.84 | | | | addition(all_22_9, all_22_9) = v0 & $i(v0) & $i(all_223_0)) % 76.49/11.84 | | | | % 76.49/11.84 | | | | GROUND_INST: instantiating (11) with all_22_9, all_22_9, one, all_22_9, % 76.49/11.84 | | | | all_22_9, all_223_0, simplifying with (15), (25), (402), % 76.49/11.84 | | | | (586) gives: % 76.49/11.84 | | | | (867) ? [v0: $i] : (multiplication(v0, one) = all_223_0 & % 76.49/11.84 | | | | addition(all_22_9, all_22_9) = v0 & $i(v0) & $i(all_223_0)) % 76.49/11.84 | | | | % 76.49/11.84 | | | | GROUND_INST: instantiating (11) with all_22_9, all_22_9, all_221_0, % 76.49/11.84 | | | | all_22_6, all_22_6, all_22_6, simplifying with (25), (398), % 76.49/11.84 | | | | (581), (602) gives: % 76.49/11.84 | | | | (868) ? [v0: $i] : (multiplication(v0, all_221_0) = all_22_6 & % 76.49/11.84 | | | | addition(all_22_9, all_22_9) = v0 & $i(v0) & $i(all_22_6)) % 76.49/11.84 | | | | % 76.49/11.84 | | | | GROUND_INST: instantiating (8) with all_22_2, all_22_5, all_22_6, % 76.49/11.84 | | | | all_22_5, all_91_0, simplifying with (28), (29), (94), % 76.49/11.84 | | | | (104), (756) gives: % 76.49/11.84 | | | | (869) ? [v0: $i] : ? [v1: $i] : (multiplication(all_22_2, all_22_5) % 76.49/11.84 | | | | = v0 & multiplication(all_22_2, all_22_6) = v1 & addition(v0, % 76.49/11.84 | | | | v1) = all_91_0 & $i(v1) & $i(v0) & $i(all_91_0)) % 76.49/11.84 | | | | % 76.49/11.84 | | | | GROUND_INST: instantiating (8) with all_22_2, all_22_6, all_22_5, % 76.49/11.84 | | | | all_22_5, all_91_0, simplifying with (28), (29), (46), % 76.49/11.84 | | | | (94), (756) gives: % 76.49/11.84 | | | | (870) ? [v0: $i] : ? [v1: $i] : (multiplication(all_22_2, all_22_5) % 76.49/11.84 | | | | = v1 & multiplication(all_22_2, all_22_6) = v0 & addition(v0, % 76.49/11.84 | | | | v1) = all_91_0 & $i(v1) & $i(v0) & $i(all_91_0)) % 76.49/11.84 | | | | % 76.49/11.84 | | | | GROUND_INST: instantiating (5) with all_22_7, all_22_2, all_22_6, % 76.49/11.84 | | | | all_30_0, all_323_0, simplifying with (27), (28), (52), % 76.49/11.84 | | | | (94), (467) gives: % 76.49/11.84 | | | | (871) ? [v0: $i] : (multiplication(all_22_2, all_22_6) = v0 & % 76.49/11.84 | | | | multiplication(all_22_7, v0) = all_323_0 & $i(v0) & % 76.49/11.84 | | | | $i(all_323_0)) % 76.49/11.84 | | | | % 76.49/11.84 | | | | GROUND_INST: instantiating (11) with all_22_9, all_223_0, all_22_8, % 76.49/11.84 | | | | all_22_6, all_22_6, all_22_6, simplifying with (25), (26), % 76.49/11.84 | | | | (32), (401), (564), (602) gives: % 76.49/11.84 | | | | (872) ? [v0: $i] : (multiplication(v0, all_22_8) = all_22_6 & % 76.49/11.84 | | | | addition(all_22_9, all_223_0) = v0 & $i(v0) & $i(all_22_6)) % 76.49/11.84 | | | | % 76.49/11.84 | | | | GROUND_INST: instantiating (11) with all_223_0, all_22_9, all_22_8, % 76.49/11.84 | | | | all_22_6, all_22_6, all_22_6, simplifying with (25), (26), % 76.49/11.84 | | | | (32), (401), (564), (602) gives: % 76.49/11.84 | | | | (873) ? [v0: $i] : (multiplication(v0, all_22_8) = all_22_6 & % 76.49/11.84 | | | | addition(all_223_0, all_22_9) = v0 & $i(v0) & $i(all_22_6)) % 76.49/11.84 | | | | % 76.49/11.84 | | | | GROUND_INST: instantiating (11) with all_223_0, all_223_0, all_22_8, % 76.49/11.84 | | | | all_22_6, all_22_6, all_22_6, simplifying with (26), (401), % 76.49/11.84 | | | | (564), (602) gives: % 76.49/11.84 | | | | (874) ? [v0: $i] : (multiplication(v0, all_22_8) = all_22_6 & % 76.49/11.84 | | | | addition(all_223_0, all_223_0) = v0 & $i(v0) & $i(all_22_6)) % 76.49/11.84 | | | | % 76.49/11.84 | | | | DELTA: instantiating (858) with fresh symbol all_609_0 gives: % 76.49/11.84 | | | | (875) addition(all_51_2, all_22_9) = all_609_0 & addition(all_22_9, % 76.49/11.84 | | | | all_609_0) = all_191_0 & $i(all_609_0) & $i(all_191_0) % 76.49/11.84 | | | | % 76.49/11.84 | | | | ALPHA: (875) implies: % 76.49/11.84 | | | | (876) addition(all_51_2, all_22_9) = all_609_0 % 76.49/11.84 | | | | % 76.49/11.84 | | | | DELTA: instantiating (857) with fresh symbol all_611_0 gives: % 76.49/11.84 | | | | (877) addition(all_51_2, all_611_0) = all_191_0 & addition(all_22_9, % 76.49/11.84 | | | | all_22_9) = all_611_0 & $i(all_611_0) & $i(all_191_0) % 76.49/11.84 | | | | % 76.49/11.84 | | | | ALPHA: (877) implies: % 76.49/11.84 | | | | (878) addition(all_22_9, all_22_9) = all_611_0 % 76.49/11.84 | | | | (879) addition(all_51_2, all_611_0) = all_191_0 % 76.49/11.84 | | | | % 76.49/11.84 | | | | DELTA: instantiating (871) with fresh symbol all_653_0 gives: % 76.49/11.84 | | | | (880) multiplication(all_22_2, all_22_6) = all_653_0 & % 76.49/11.84 | | | | multiplication(all_22_7, all_653_0) = all_323_0 & $i(all_653_0) % 76.49/11.84 | | | | & $i(all_323_0) % 76.49/11.84 | | | | % 76.49/11.84 | | | | ALPHA: (880) implies: % 76.49/11.84 | | | | (881) multiplication(all_22_2, all_22_6) = all_653_0 % 76.49/11.84 | | | | % 76.49/11.84 | | | | DELTA: instantiating (874) with fresh symbol all_689_0 gives: % 76.49/11.84 | | | | (882) multiplication(all_689_0, all_22_8) = all_22_6 & % 76.49/11.84 | | | | addition(all_223_0, all_223_0) = all_689_0 & $i(all_689_0) & % 76.49/11.84 | | | | $i(all_22_6) % 76.49/11.84 | | | | % 76.49/11.84 | | | | ALPHA: (882) implies: % 76.49/11.84 | | | | (883) addition(all_223_0, all_223_0) = all_689_0 % 76.49/11.84 | | | | % 76.49/11.84 | | | | DELTA: instantiating (873) with fresh symbol all_711_0 gives: % 76.49/11.84 | | | | (884) multiplication(all_711_0, all_22_8) = all_22_6 & % 76.49/11.84 | | | | addition(all_223_0, all_22_9) = all_711_0 & $i(all_711_0) & % 76.49/11.84 | | | | $i(all_22_6) % 76.49/11.84 | | | | % 76.49/11.84 | | | | ALPHA: (884) implies: % 76.49/11.84 | | | | (885) addition(all_223_0, all_22_9) = all_711_0 % 76.49/11.84 | | | | % 76.49/11.84 | | | | DELTA: instantiating (866) with fresh symbol all_733_0 gives: % 76.49/11.84 | | | | (886) multiplication(one, all_733_0) = all_223_0 & addition(all_22_9, % 76.49/11.84 | | | | all_22_9) = all_733_0 & $i(all_733_0) & $i(all_223_0) % 76.49/11.84 | | | | % 76.49/11.84 | | | | ALPHA: (886) implies: % 76.49/11.84 | | | | (887) addition(all_22_9, all_22_9) = all_733_0 % 76.49/11.84 | | | | % 76.49/11.84 | | | | DELTA: instantiating (872) with fresh symbol all_737_0 gives: % 76.49/11.84 | | | | (888) multiplication(all_737_0, all_22_8) = all_22_6 & % 76.49/11.84 | | | | addition(all_22_9, all_223_0) = all_737_0 & $i(all_737_0) & % 76.49/11.84 | | | | $i(all_22_6) % 76.49/11.84 | | | | % 76.49/11.84 | | | | ALPHA: (888) implies: % 76.49/11.84 | | | | (889) addition(all_22_9, all_223_0) = all_737_0 % 76.49/11.84 | | | | % 76.49/11.84 | | | | DELTA: instantiating (867) with fresh symbol all_771_0 gives: % 76.49/11.84 | | | | (890) multiplication(all_771_0, one) = all_223_0 & addition(all_22_9, % 76.49/11.84 | | | | all_22_9) = all_771_0 & $i(all_771_0) & $i(all_223_0) % 76.49/11.84 | | | | % 76.49/11.84 | | | | ALPHA: (890) implies: % 76.49/11.84 | | | | (891) addition(all_22_9, all_22_9) = all_771_0 % 76.49/11.84 | | | | % 76.49/11.84 | | | | DELTA: instantiating (849) with fresh symbol all_835_0 gives: % 76.49/11.84 | | | | (892) addition(all_835_0, all_91_0) = all_255_0 & addition(all_22_9, % 76.49/11.84 | | | | all_22_9) = all_835_0 & $i(all_835_0) & $i(all_255_0) % 76.49/11.84 | | | | % 76.49/11.84 | | | | ALPHA: (892) implies: % 76.49/11.84 | | | | (893) addition(all_22_9, all_22_9) = all_835_0 % 76.49/11.84 | | | | % 76.49/11.84 | | | | DELTA: instantiating (855) with fresh symbol all_873_0 gives: % 76.49/11.84 | | | | (894) addition(all_91_0, all_22_9) = all_873_0 & addition(all_22_9, % 76.49/11.84 | | | | all_873_0) = all_149_0 & $i(all_873_0) & $i(all_149_0) % 76.49/11.84 | | | | % 76.49/11.84 | | | | ALPHA: (894) implies: % 76.49/11.84 | | | | (895) addition(all_91_0, all_22_9) = all_873_0 % 76.49/11.84 | | | | % 76.49/11.84 | | | | DELTA: instantiating (856) with fresh symbol all_901_0 gives: % 76.49/11.84 | | | | (896) addition(all_901_0, all_91_0) = all_253_0 & addition(all_51_2, % 76.49/11.84 | | | | all_22_9) = all_901_0 & $i(all_901_0) & $i(all_253_0) % 76.49/11.84 | | | | % 76.49/11.84 | | | | ALPHA: (896) implies: % 76.49/11.84 | | | | (897) addition(all_51_2, all_22_9) = all_901_0 % 76.49/11.84 | | | | (898) addition(all_901_0, all_91_0) = all_253_0 % 76.49/11.84 | | | | % 76.49/11.84 | | | | DELTA: instantiating (863) with fresh symbol all_1013_0 gives: % 76.49/11.84 | | | | (899) addition(all_1013_0, all_89_0) = all_147_0 & addition(all_91_0, % 76.49/11.84 | | | | all_22_9) = all_1013_0 & $i(all_1013_0) & $i(all_147_0) % 76.49/11.84 | | | | % 76.49/11.84 | | | | ALPHA: (899) implies: % 76.49/11.84 | | | | (900) addition(all_91_0, all_22_9) = all_1013_0 % 76.49/11.84 | | | | % 76.49/11.84 | | | | DELTA: instantiating (862) with fresh symbol all_1019_0 gives: % 76.49/11.84 | | | | (901) addition(all_91_0, all_1019_0) = all_149_0 & addition(all_22_9, % 76.49/11.84 | | | | all_22_9) = all_1019_0 & $i(all_1019_0) & $i(all_149_0) % 76.49/11.84 | | | | % 76.49/11.84 | | | | ALPHA: (901) implies: % 76.49/11.84 | | | | (902) addition(all_22_9, all_22_9) = all_1019_0 % 76.49/11.84 | | | | (903) addition(all_91_0, all_1019_0) = all_149_0 % 76.49/11.84 | | | | % 76.49/11.84 | | | | DELTA: instantiating (868) with fresh symbol all_1037_0 gives: % 76.49/11.84 | | | | (904) multiplication(all_1037_0, all_221_0) = all_22_6 & % 76.49/11.84 | | | | addition(all_22_9, all_22_9) = all_1037_0 & $i(all_1037_0) & % 76.49/11.84 | | | | $i(all_22_6) % 76.49/11.84 | | | | % 76.49/11.84 | | | | ALPHA: (904) implies: % 76.49/11.84 | | | | (905) addition(all_22_9, all_22_9) = all_1037_0 % 76.49/11.84 | | | | % 76.49/11.84 | | | | DELTA: instantiating (859) with fresh symbol all_1049_0 gives: % 76.49/11.85 | | | | (906) addition(all_89_0, all_1049_0) = all_199_0 & addition(all_22_9, % 76.49/11.85 | | | | all_22_9) = all_1049_0 & $i(all_1049_0) & $i(all_199_0) % 76.49/11.85 | | | | % 76.49/11.85 | | | | ALPHA: (906) implies: % 76.49/11.85 | | | | (907) addition(all_22_9, all_22_9) = all_1049_0 % 76.49/11.85 | | | | % 76.49/11.85 | | | | DELTA: instantiating (860) with fresh symbol all_1141_0 gives: % 76.49/11.85 | | | | (908) addition(all_1141_0, all_22_9) = all_115_0 & addition(all_51_1, % 76.49/11.85 | | | | all_91_0) = all_1141_0 & $i(all_1141_0) & $i(all_115_0) % 76.49/11.85 | | | | % 76.49/11.85 | | | | ALPHA: (908) implies: % 76.49/11.85 | | | | (909) addition(all_51_1, all_91_0) = all_1141_0 % 76.49/11.85 | | | | % 76.49/11.85 | | | | DELTA: instantiating (861) with fresh symbol all_1143_0 gives: % 76.49/11.85 | | | | (910) addition(all_1143_0, all_22_9) = all_253_0 & addition(all_51_2, % 76.49/11.85 | | | | all_91_0) = all_1143_0 & $i(all_1143_0) & $i(all_253_0) % 76.49/11.85 | | | | % 76.49/11.85 | | | | ALPHA: (910) implies: % 76.49/11.85 | | | | (911) addition(all_51_2, all_91_0) = all_1143_0 % 76.49/11.85 | | | | (912) addition(all_1143_0, all_22_9) = all_253_0 % 76.49/11.85 | | | | % 76.49/11.85 | | | | DELTA: instantiating (870) with fresh symbols all_1431_0, all_1431_1 % 76.49/11.85 | | | | gives: % 76.49/11.85 | | | | (913) multiplication(all_22_2, all_22_5) = all_1431_0 & % 76.49/11.85 | | | | multiplication(all_22_2, all_22_6) = all_1431_1 & % 76.49/11.85 | | | | addition(all_1431_1, all_1431_0) = all_91_0 & $i(all_1431_0) & % 76.49/11.85 | | | | $i(all_1431_1) & $i(all_91_0) % 76.49/11.85 | | | | % 76.49/11.85 | | | | ALPHA: (913) implies: % 76.49/11.85 | | | | (914) addition(all_1431_1, all_1431_0) = all_91_0 % 76.49/11.85 | | | | (915) multiplication(all_22_2, all_22_6) = all_1431_1 % 76.49/11.85 | | | | (916) multiplication(all_22_2, all_22_5) = all_1431_0 % 76.49/11.85 | | | | % 76.49/11.85 | | | | DELTA: instantiating (869) with fresh symbols all_1449_0, all_1449_1 % 76.49/11.85 | | | | gives: % 76.49/11.85 | | | | (917) multiplication(all_22_2, all_22_5) = all_1449_1 & % 76.49/11.85 | | | | multiplication(all_22_2, all_22_6) = all_1449_0 & % 76.49/11.85 | | | | addition(all_1449_1, all_1449_0) = all_91_0 & $i(all_1449_0) & % 76.49/11.85 | | | | $i(all_1449_1) & $i(all_91_0) % 76.49/11.85 | | | | % 76.49/11.85 | | | | ALPHA: (917) implies: % 76.49/11.85 | | | | (918) multiplication(all_22_2, all_22_6) = all_1449_0 % 76.49/11.85 | | | | (919) multiplication(all_22_2, all_22_5) = all_1449_1 % 76.49/11.85 | | | | % 76.49/11.85 | | | | DELTA: instantiating (851) with fresh symbols all_1467_0, all_1467_1 % 76.49/11.85 | | | | gives: % 76.49/11.85 | | | | (920) multiplication(all_22_2, all_22_6) = all_1467_0 & % 76.49/11.85 | | | | multiplication(all_22_2, all_22_6) = all_1467_1 & % 76.49/11.85 | | | | addition(all_1467_1, all_1467_0) = all_51_2 & $i(all_1467_0) & % 76.49/11.85 | | | | $i(all_1467_1) & $i(all_51_2) % 76.49/11.85 | | | | % 76.49/11.85 | | | | ALPHA: (920) implies: % 76.49/11.85 | | | | (921) multiplication(all_22_2, all_22_6) = all_1467_1 % 76.49/11.85 | | | | (922) multiplication(all_22_2, all_22_6) = all_1467_0 % 76.49/11.85 | | | | % 76.49/11.85 | | | | REDUCE: (848), (883) imply: % 76.49/11.85 | | | | (923) addition(all_22_9, all_22_9) = all_689_0 % 76.49/11.85 | | | | % 76.49/11.85 | | | | REDUCE: (848), (885) imply: % 76.49/11.85 | | | | (924) addition(all_22_9, all_22_9) = all_711_0 % 76.49/11.85 | | | | % 76.49/11.85 | | | | REDUCE: (848), (889) imply: % 76.49/11.85 | | | | (925) addition(all_22_9, all_22_9) = all_737_0 % 76.49/11.85 | | | | % 76.49/11.85 | | | | REDUCE: (402), (848) imply: % 76.49/11.85 | | | | (926) addition(all_22_9, all_22_9) = all_22_9 % 76.49/11.85 | | | | % 76.49/11.85 | | | | GROUND_INST: instantiating (21) with all_689_0, all_733_0, all_22_9, % 76.49/11.85 | | | | all_22_9, simplifying with (887), (923) gives: % 76.49/11.85 | | | | (927) all_733_0 = all_689_0 % 76.49/11.85 | | | | % 76.49/11.85 | | | | GROUND_INST: instantiating (21) with all_733_0, all_771_0, all_22_9, % 76.49/11.85 | | | | all_22_9, simplifying with (887), (891) gives: % 76.49/11.85 | | | | (928) all_771_0 = all_733_0 % 76.49/11.85 | | | | % 76.49/11.85 | | | | GROUND_INST: instantiating (21) with all_611_0, all_771_0, all_22_9, % 76.49/11.85 | | | | all_22_9, simplifying with (878), (891) gives: % 76.49/11.85 | | | | (929) all_771_0 = all_611_0 % 76.49/11.85 | | | | % 76.49/11.85 | | | | GROUND_INST: instantiating (21) with all_737_0, all_835_0, all_22_9, % 76.49/11.85 | | | | all_22_9, simplifying with (893), (925) gives: % 76.49/11.85 | | | | (930) all_835_0 = all_737_0 % 76.49/11.85 | | | | % 76.49/11.85 | | | | GROUND_INST: instantiating (21) with all_835_0, all_1019_0, all_22_9, % 76.49/11.85 | | | | all_22_9, simplifying with (893), (902) gives: % 76.49/11.85 | | | | (931) all_1019_0 = all_835_0 % 76.49/11.85 | | | | % 76.49/11.85 | | | | GROUND_INST: instantiating (21) with all_737_0, all_1037_0, all_22_9, % 76.49/11.85 | | | | all_22_9, simplifying with (905), (925) gives: % 76.49/11.85 | | | | (932) all_1037_0 = all_737_0 % 76.49/11.85 | | | | % 76.49/11.85 | | | | GROUND_INST: instantiating (21) with all_711_0, all_1037_0, all_22_9, % 76.49/11.85 | | | | all_22_9, simplifying with (905), (924) gives: % 76.49/11.85 | | | | (933) all_1037_0 = all_711_0 % 76.49/11.85 | | | | % 76.49/11.85 | | | | GROUND_INST: instantiating (21) with all_689_0, all_1037_0, all_22_9, % 76.49/11.85 | | | | all_22_9, simplifying with (905), (923) gives: % 76.49/11.85 | | | | (934) all_1037_0 = all_689_0 % 76.49/11.85 | | | | % 76.49/11.85 | | | | GROUND_INST: instantiating (21) with all_1019_0, all_1049_0, all_22_9, % 76.49/11.85 | | | | all_22_9, simplifying with (902), (907) gives: % 76.49/11.85 | | | | (935) all_1049_0 = all_1019_0 % 76.49/11.85 | | | | % 76.49/11.85 | | | | GROUND_INST: instantiating (21) with all_22_9, all_1049_0, all_22_9, % 76.49/11.85 | | | | all_22_9, simplifying with (907), (926) gives: % 76.49/11.85 | | | | (936) all_1049_0 = all_22_9 % 76.49/11.85 | | | | % 76.49/11.85 | | | | GROUND_INST: instantiating (21) with all_51_1, all_901_0, all_22_9, % 76.49/11.85 | | | | all_51_2, simplifying with (86), (897) gives: % 76.49/11.85 | | | | (937) all_901_0 = all_51_1 % 76.49/11.85 | | | | % 76.49/11.85 | | | | GROUND_INST: instantiating (21) with all_609_0, all_901_0, all_22_9, % 76.49/11.85 | | | | all_51_2, simplifying with (876), (897) gives: % 76.49/11.85 | | | | (938) all_901_0 = all_609_0 % 76.49/11.85 | | | | % 76.49/11.85 | | | | GROUND_INST: instantiating (21) with all_22_1, all_1013_0, all_22_9, % 76.49/11.85 | | | | all_91_0, simplifying with (816), (900) gives: % 76.49/11.85 | | | | (939) all_1013_0 = all_22_1 % 76.49/11.85 | | | | % 76.49/11.85 | | | | GROUND_INST: instantiating (21) with all_873_0, all_1013_0, all_22_9, % 76.49/11.85 | | | | all_91_0, simplifying with (895), (900) gives: % 76.49/11.85 | | | | (940) all_1013_0 = all_873_0 % 76.49/11.85 | | | | % 76.49/11.85 | | | | GROUND_INST: instantiating (22) with all_1431_1, all_1449_0, all_22_6, % 76.49/11.85 | | | | all_22_2, simplifying with (915), (918) gives: % 76.49/11.85 | | | | (941) all_1449_0 = all_1431_1 % 76.49/11.85 | | | | % 76.49/11.85 | | | | GROUND_INST: instantiating (22) with all_51_2, all_1467_1, all_22_6, % 76.49/11.85 | | | | all_22_2, simplifying with (247), (921) gives: % 76.49/11.85 | | | | (942) all_1467_1 = all_51_2 % 76.49/11.85 | | | | % 76.49/11.85 | | | | GROUND_INST: instantiating (22) with all_1449_0, all_1467_1, all_22_6, % 76.49/11.85 | | | | all_22_2, simplifying with (918), (921) gives: % 76.49/11.85 | | | | (943) all_1467_1 = all_1449_0 % 76.49/11.85 | | | | % 76.49/11.85 | | | | GROUND_INST: instantiating (22) with all_1449_0, all_1467_0, all_22_6, % 76.49/11.85 | | | | all_22_2, simplifying with (918), (922) gives: % 76.49/11.85 | | | | (944) all_1467_0 = all_1449_0 % 76.49/11.85 | | | | % 76.49/11.85 | | | | GROUND_INST: instantiating (22) with all_653_0, all_1467_0, all_22_6, % 76.49/11.85 | | | | all_22_2, simplifying with (881), (922) gives: % 76.49/11.85 | | | | (945) all_1467_0 = all_653_0 % 76.49/11.85 | | | | % 76.49/11.85 | | | | GROUND_INST: instantiating (22) with all_91_0, all_1449_1, all_22_5, % 76.49/11.85 | | | | all_22_2, simplifying with (756), (919) gives: % 76.49/11.85 | | | | (946) all_1449_1 = all_91_0 % 76.49/11.85 | | | | % 76.49/11.85 | | | | GROUND_INST: instantiating (22) with all_1431_0, all_1449_1, all_22_5, % 76.49/11.85 | | | | all_22_2, simplifying with (916), (919) gives: % 76.49/11.85 | | | | (947) all_1449_1 = all_1431_0 % 76.49/11.85 | | | | % 76.49/11.85 | | | | COMBINE_EQS: (944), (945) imply: % 76.49/11.85 | | | | (948) all_1449_0 = all_653_0 % 76.49/11.85 | | | | % 76.49/11.85 | | | | SIMP: (948) implies: % 76.49/11.85 | | | | (949) all_1449_0 = all_653_0 % 76.49/11.85 | | | | % 76.49/11.85 | | | | COMBINE_EQS: (942), (943) imply: % 76.49/11.85 | | | | (950) all_1449_0 = all_51_2 % 76.49/11.85 | | | | % 76.49/11.85 | | | | SIMP: (950) implies: % 76.49/11.85 | | | | (951) all_1449_0 = all_51_2 % 76.49/11.85 | | | | % 76.49/11.85 | | | | COMBINE_EQS: (941), (949) imply: % 76.49/11.85 | | | | (952) all_1431_1 = all_653_0 % 76.49/11.85 | | | | % 76.49/11.85 | | | | COMBINE_EQS: (941), (951) imply: % 76.49/11.85 | | | | (953) all_1431_1 = all_51_2 % 76.49/11.85 | | | | % 76.49/11.85 | | | | COMBINE_EQS: (946), (947) imply: % 76.49/11.85 | | | | (954) all_1431_0 = all_91_0 % 76.49/11.85 | | | | % 76.49/11.85 | | | | COMBINE_EQS: (952), (953) imply: % 76.49/11.85 | | | | (955) all_653_0 = all_51_2 % 76.49/11.85 | | | | % 76.49/11.85 | | | | COMBINE_EQS: (935), (936) imply: % 76.49/11.85 | | | | (956) all_1019_0 = all_22_9 % 76.49/11.85 | | | | % 76.49/11.85 | | | | SIMP: (956) implies: % 76.49/11.85 | | | | (957) all_1019_0 = all_22_9 % 76.49/11.85 | | | | % 76.49/11.85 | | | | COMBINE_EQS: (932), (933) imply: % 76.49/11.85 | | | | (958) all_737_0 = all_711_0 % 76.49/11.85 | | | | % 76.49/11.85 | | | | SIMP: (958) implies: % 76.49/11.85 | | | | (959) all_737_0 = all_711_0 % 76.49/11.85 | | | | % 76.49/11.85 | | | | COMBINE_EQS: (933), (934) imply: % 76.49/11.85 | | | | (960) all_711_0 = all_689_0 % 76.49/11.85 | | | | % 76.49/11.85 | | | | COMBINE_EQS: (931), (957) imply: % 76.49/11.85 | | | | (961) all_835_0 = all_22_9 % 76.49/11.85 | | | | % 76.49/11.85 | | | | SIMP: (961) implies: % 76.49/11.85 | | | | (962) all_835_0 = all_22_9 % 76.49/11.85 | | | | % 76.49/11.85 | | | | COMBINE_EQS: (939), (940) imply: % 76.49/11.85 | | | | (963) all_873_0 = all_22_1 % 76.49/11.85 | | | | % 76.49/11.85 | | | | SIMP: (963) implies: % 76.49/11.85 | | | | (964) all_873_0 = all_22_1 % 76.49/11.85 | | | | % 76.49/11.85 | | | | COMBINE_EQS: (937), (938) imply: % 76.49/11.85 | | | | (965) all_609_0 = all_51_1 % 76.49/11.85 | | | | % 76.49/11.85 | | | | SIMP: (965) implies: % 76.49/11.85 | | | | (966) all_609_0 = all_51_1 % 76.49/11.85 | | | | % 76.49/11.85 | | | | COMBINE_EQS: (930), (962) imply: % 76.49/11.85 | | | | (967) all_737_0 = all_22_9 % 76.49/11.85 | | | | % 76.49/11.85 | | | | SIMP: (967) implies: % 76.49/11.85 | | | | (968) all_737_0 = all_22_9 % 76.49/11.85 | | | | % 76.49/11.85 | | | | COMBINE_EQS: (928), (929) imply: % 76.49/11.85 | | | | (969) all_733_0 = all_611_0 % 76.49/11.85 | | | | % 76.49/11.85 | | | | SIMP: (969) implies: % 76.49/11.85 | | | | (970) all_733_0 = all_611_0 % 76.49/11.85 | | | | % 76.49/11.85 | | | | COMBINE_EQS: (959), (968) imply: % 76.49/11.85 | | | | (971) all_711_0 = all_22_9 % 76.49/11.85 | | | | % 76.49/11.85 | | | | SIMP: (971) implies: % 76.49/11.85 | | | | (972) all_711_0 = all_22_9 % 76.49/11.85 | | | | % 76.49/11.85 | | | | COMBINE_EQS: (927), (970) imply: % 76.49/11.85 | | | | (973) all_689_0 = all_611_0 % 76.49/11.85 | | | | % 76.49/11.85 | | | | SIMP: (973) implies: % 76.49/11.85 | | | | (974) all_689_0 = all_611_0 % 76.49/11.85 | | | | % 76.49/11.85 | | | | COMBINE_EQS: (960), (972) imply: % 76.49/11.85 | | | | (975) all_689_0 = all_22_9 % 76.49/11.85 | | | | % 76.49/11.85 | | | | SIMP: (975) implies: % 76.49/11.85 | | | | (976) all_689_0 = all_22_9 % 76.49/11.85 | | | | % 76.49/11.85 | | | | COMBINE_EQS: (974), (976) imply: % 76.49/11.85 | | | | (977) all_611_0 = all_22_9 % 76.49/11.85 | | | | % 76.49/11.85 | | | | SIMP: (977) implies: % 76.49/11.85 | | | | (978) all_611_0 = all_22_9 % 76.49/11.85 | | | | % 76.49/11.85 | | | | REDUCE: (914), (953), (954) imply: % 76.49/11.85 | | | | (979) addition(all_51_2, all_91_0) = all_91_0 % 76.49/11.85 | | | | % 76.49/11.85 | | | | REDUCE: (898), (937) imply: % 76.49/11.85 | | | | (980) addition(all_51_1, all_91_0) = all_253_0 % 76.49/11.85 | | | | % 76.49/11.85 | | | | REDUCE: (903), (957) imply: % 76.49/11.85 | | | | (981) addition(all_91_0, all_22_9) = all_149_0 % 76.49/11.85 | | | | % 76.49/11.85 | | | | REDUCE: (879), (978) imply: % 76.49/11.85 | | | | (982) addition(all_51_2, all_22_9) = all_191_0 % 76.49/11.85 | | | | % 76.49/11.85 | | | | GROUND_INST: instantiating (21) with all_51_1, all_191_0, all_22_9, % 76.49/11.85 | | | | all_51_2, simplifying with (86), (982) gives: % 76.49/11.85 | | | | (983) all_191_0 = all_51_1 % 76.49/11.85 | | | | % 76.49/11.85 | | | | GROUND_INST: instantiating (21) with all_1143_0, all_91_0, all_91_0, % 76.49/11.85 | | | | all_51_2, simplifying with (911), (979) gives: % 76.49/11.85 | | | | (984) all_1143_0 = all_91_0 % 76.49/11.85 | | | | % 76.49/11.85 | | | | GROUND_INST: instantiating (21) with all_1141_0, all_253_0, all_91_0, % 76.49/11.85 | | | | all_51_1, simplifying with (909), (980) gives: % 76.49/11.85 | | | | (985) all_1141_0 = all_253_0 % 76.49/11.85 | | | | % 76.49/11.85 | | | | GROUND_INST: instantiating (21) with all_22_1, all_149_0, all_22_9, % 76.49/11.85 | | | | all_91_0, simplifying with (816), (981) gives: % 76.49/11.85 | | | | (986) all_149_0 = all_22_1 % 76.49/11.85 | | | | % 76.49/11.85 | | | | REDUCE: (912), (984) imply: % 76.49/11.85 | | | | (987) addition(all_91_0, all_22_9) = all_253_0 % 76.49/11.85 | | | | % 76.49/11.85 | | | | REDUCE: (811), (983) imply: % 76.49/11.85 | | | | (988) addition(all_51_1, all_91_0) = all_115_0 % 76.49/11.85 | | | | % 76.49/11.85 | | | | GROUND_INST: instantiating (21) with all_253_0, all_115_0, all_91_0, % 76.49/11.85 | | | | all_51_1, simplifying with (980), (988) gives: % 76.49/11.85 | | | | (989) all_253_0 = all_115_0 % 76.49/11.85 | | | | % 76.49/11.85 | | | | GROUND_INST: instantiating (21) with all_22_1, all_253_0, all_22_9, % 76.49/11.85 | | | | all_91_0, simplifying with (816), (987) gives: % 76.49/11.85 | | | | (990) all_253_0 = all_22_1 % 76.49/11.85 | | | | % 76.49/11.85 | | | | COMBINE_EQS: (989), (990) imply: % 76.49/11.85 | | | | (991) all_115_0 = all_22_1 % 76.49/11.85 | | | | % 76.49/11.85 | | | | REDUCE: (238), (991) imply: % 76.49/11.85 | | | | (992) $false % 76.49/11.85 | | | | % 76.49/11.85 | | | | CLOSE: (992) is inconsistent. % 76.49/11.85 | | | | % 76.49/11.87 | | | End of split % 76.49/11.87 | | | % 76.49/11.87 | | End of split % 76.49/11.87 | | % 76.49/11.87 | End of split % 76.49/11.87 | % 76.49/11.87 End of proof % 76.49/11.87 % SZS output end Proof for theBenchmark % 76.49/11.87 % 76.49/11.87 11262ms %------------------------------------------------------------------------------