%------------------------------------------------------------------------------ % File : Princess---230619 % Problem : SEU342+1 : TPTP v8.1.2. Released v3.3.0. % Transfm : none % Format : tptp % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s % Computer : n028.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 300s % DateTime : Thu Aug 31 17:44:11 EDT 2023 % Result : Theorem 56.82s 8.29s % Output : Proof 59.58s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEU342+1 : TPTP v8.1.2. Released v3.3.0. % 0.00/0.13 % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s % 0.14/0.34 % Computer : n028.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 : Wed Aug 23 20:54:49 EDT 2023 % 0.14/0.34 % CPUTime : % 0.20/0.60 ________ _____ % 0.20/0.60 ___ __ \_________(_)________________________________ % 0.20/0.60 __ /_/ /_ ___/_ /__ __ \ ___/ _ \_ ___/_ ___/ % 0.20/0.60 _ ____/_ / _ / _ / / / /__ / __/(__ )_(__ ) % 0.20/0.60 /_/ /_/ /_/ /_/ /_/\___/ \___//____/ /____/ % 0.20/0.60 % 0.20/0.60 A Theorem Prover for First-Order Logic modulo Linear Integer Arithmetic % 0.20/0.60 (2023-06-19) % 0.20/0.60 % 0.20/0.60 (c) Philipp Rümmer, 2009-2023 % 0.20/0.60 Contributors: Peter Backeman, Peter Baumgartner, Angelo Brillout, Zafer Esen, % 0.20/0.60 Amanda Stjerna. % 0.20/0.60 Free software under BSD-3-Clause. % 0.20/0.60 % 0.20/0.60 For more information, visit http://www.philipp.ruemmer.org/princess.shtml % 0.20/0.60 % 0.20/0.61 Loading /export/starexec/sandbox2/benchmark/theBenchmark.p ... % 0.20/0.62 Running up to 7 provers in parallel. % 0.20/0.63 Prover 2: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1065072994 % 0.20/0.63 Prover 0: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893 % 0.20/0.63 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1571432423 % 0.20/0.63 Prover 3: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996 % 0.20/0.63 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696 % 0.20/0.63 Prover 5: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288 % 0.20/0.63 Prover 6: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365 % 2.72/1.09 Prover 4: Preprocessing ... % 2.72/1.09 Prover 1: Preprocessing ... % 2.72/1.13 Prover 3: Preprocessing ... % 2.72/1.13 Prover 6: Preprocessing ... % 2.72/1.13 Prover 5: Preprocessing ... % 2.72/1.13 Prover 0: Preprocessing ... % 2.72/1.13 Prover 2: Preprocessing ... % 6.98/1.66 Prover 1: Warning: ignoring some quantifiers % 6.98/1.70 Prover 3: Warning: ignoring some quantifiers % 6.98/1.71 Prover 5: Proving ... % 6.98/1.71 Prover 1: Constructing countermodel ... % 6.98/1.73 Prover 2: Proving ... % 6.98/1.74 Prover 3: Constructing countermodel ... % 7.70/1.75 Prover 6: Proving ... % 8.03/1.81 Prover 4: Warning: ignoring some quantifiers % 8.41/1.89 Prover 4: Constructing countermodel ... % 9.15/2.02 Prover 0: Proving ... % 9.90/2.17 Prover 3: gave up % 9.90/2.17 Prover 7: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470 % 9.90/2.23 Prover 7: Preprocessing ... % 11.68/2.34 Prover 7: Warning: ignoring some quantifiers % 11.68/2.36 Prover 7: Constructing countermodel ... % 13.89/2.75 Prover 1: gave up % 13.89/2.76 Prover 8: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089 % 13.89/2.82 Prover 8: Preprocessing ... % 16.36/3.04 Prover 8: Warning: ignoring some quantifiers % 17.10/3.05 Prover 8: Constructing countermodel ... % 20.60/3.57 Prover 8: gave up % 20.60/3.57 Prover 9: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allMinimal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1423531889 % 20.60/3.60 Prover 9: Preprocessing ... % 22.80/3.80 Prover 9: Warning: ignoring some quantifiers % 22.80/3.81 Prover 9: Constructing countermodel ... % 55.95/8.19 Prover 4: Found proof (size 1707) % 55.95/8.19 Prover 4: proved (7561ms) % 55.95/8.19 Prover 9: stopped % 55.95/8.19 Prover 7: stopped % 55.95/8.19 Prover 2: stopped % 55.95/8.19 Prover 5: stopped % 55.95/8.19 Prover 6: stopped % 56.82/8.29 Prover 0: stopped % 56.82/8.29 % 56.82/8.29 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p % 56.82/8.29 % 57.51/8.52 % SZS output start Proof for theBenchmark % 57.51/8.52 Assumptions after simplification: % 57.51/8.52 --------------------------------- % 57.51/8.52 % 57.51/8.52 (cc1_lattices) % 57.92/8.57 ! [v0: $i] : ! [v1: int] : (v1 = 0 | ~ (empty_carrier(v0) = v1) | ~ $i(v0) % 57.92/8.57 | ? [v2: any] : ? [v3: any] : ? [v4: any] : ? [v5: any] : ? [v6: any] : % 57.92/8.57 ? [v7: any] : ? [v8: any] : ? [v9: any] : (lattice(v0) = v3 & % 57.92/8.57 latt_str(v0) = v2 & join_commutative(v0) = v4 & join_associative(v0) = v5 % 57.92/8.57 & meet_commutative(v0) = v6 & meet_associative(v0) = v7 & % 57.92/8.57 meet_absorbing(v0) = v8 & join_absorbing(v0) = v9 & ( ~ (v3 = 0) | ~ (v2 % 57.92/8.57 = 0) | (v9 = 0 & v8 = 0 & v7 = 0 & v6 = 0 & v5 = 0 & v4 = 0)))) & ! % 57.92/8.57 [v0: $i] : ! [v1: any] : ( ~ (join_commutative(v0) = v1) | ~ $i(v0) | ? % 57.92/8.57 [v2: any] : ? [v3: any] : ? [v4: any] : ? [v5: any] : ? [v6: any] : ? % 57.92/8.57 [v7: any] : ? [v8: any] : ? [v9: any] : (lattice(v0) = v4 & latt_str(v0) = % 57.92/8.57 v2 & empty_carrier(v0) = v3 & join_associative(v0) = v5 & % 57.92/8.57 meet_commutative(v0) = v6 & meet_associative(v0) = v7 & meet_absorbing(v0) % 57.92/8.57 = v8 & join_absorbing(v0) = v9 & ( ~ (v4 = 0) | ~ (v2 = 0) | v3 = 0 | (v9 % 57.92/8.57 = 0 & v8 = 0 & v7 = 0 & v6 = 0 & v5 = 0 & v1 = 0)))) & ! [v0: $i] : % 57.92/8.57 ! [v1: any] : ( ~ (join_associative(v0) = v1) | ~ $i(v0) | ? [v2: any] : ? % 57.92/8.57 [v3: any] : ? [v4: any] : ? [v5: any] : ? [v6: any] : ? [v7: any] : ? % 57.92/8.57 [v8: any] : ? [v9: any] : (lattice(v0) = v4 & latt_str(v0) = v2 & % 57.92/8.57 empty_carrier(v0) = v3 & join_commutative(v0) = v5 & meet_commutative(v0) % 57.92/8.57 = v6 & meet_associative(v0) = v7 & meet_absorbing(v0) = v8 & % 57.92/8.57 join_absorbing(v0) = v9 & ( ~ (v4 = 0) | ~ (v2 = 0) | v3 = 0 | (v9 = 0 & % 57.92/8.57 v8 = 0 & v7 = 0 & v6 = 0 & v5 = 0 & v1 = 0)))) & ! [v0: $i] : ! [v1: % 57.92/8.57 any] : ( ~ (meet_commutative(v0) = v1) | ~ $i(v0) | ? [v2: any] : ? [v3: % 57.92/8.57 any] : ? [v4: any] : ? [v5: any] : ? [v6: any] : ? [v7: any] : ? [v8: % 57.92/8.57 any] : ? [v9: any] : (lattice(v0) = v4 & latt_str(v0) = v2 & % 57.92/8.57 empty_carrier(v0) = v3 & join_commutative(v0) = v5 & join_associative(v0) % 57.92/8.57 = v6 & meet_associative(v0) = v7 & meet_absorbing(v0) = v8 & % 57.92/8.57 join_absorbing(v0) = v9 & ( ~ (v4 = 0) | ~ (v2 = 0) | v3 = 0 | (v9 = 0 & % 57.92/8.57 v8 = 0 & v7 = 0 & v6 = 0 & v5 = 0 & v1 = 0)))) & ! [v0: $i] : ! [v1: % 57.92/8.57 any] : ( ~ (meet_associative(v0) = v1) | ~ $i(v0) | ? [v2: any] : ? [v3: % 57.92/8.57 any] : ? [v4: any] : ? [v5: any] : ? [v6: any] : ? [v7: any] : ? [v8: % 57.92/8.57 any] : ? [v9: any] : (lattice(v0) = v4 & latt_str(v0) = v2 & % 57.92/8.57 empty_carrier(v0) = v3 & join_commutative(v0) = v5 & join_associative(v0) % 57.92/8.57 = v6 & meet_commutative(v0) = v7 & meet_absorbing(v0) = v8 & % 57.92/8.57 join_absorbing(v0) = v9 & ( ~ (v4 = 0) | ~ (v2 = 0) | v3 = 0 | (v9 = 0 & % 57.92/8.57 v8 = 0 & v7 = 0 & v6 = 0 & v5 = 0 & v1 = 0)))) & ! [v0: $i] : ! [v1: % 57.92/8.57 any] : ( ~ (meet_absorbing(v0) = v1) | ~ $i(v0) | ? [v2: any] : ? [v3: % 57.92/8.57 any] : ? [v4: any] : ? [v5: any] : ? [v6: any] : ? [v7: any] : ? [v8: % 57.92/8.57 any] : ? [v9: any] : (lattice(v0) = v4 & latt_str(v0) = v2 & % 57.92/8.57 empty_carrier(v0) = v3 & join_commutative(v0) = v5 & join_associative(v0) % 57.92/8.57 = v6 & meet_commutative(v0) = v7 & meet_associative(v0) = v8 & % 57.92/8.57 join_absorbing(v0) = v9 & ( ~ (v4 = 0) | ~ (v2 = 0) | v3 = 0 | (v9 = 0 & % 57.92/8.57 v8 = 0 & v7 = 0 & v6 = 0 & v5 = 0 & v1 = 0)))) & ! [v0: $i] : ! [v1: % 57.92/8.57 any] : ( ~ (join_absorbing(v0) = v1) | ~ $i(v0) | ? [v2: any] : ? [v3: % 57.92/8.57 any] : ? [v4: any] : ? [v5: any] : ? [v6: any] : ? [v7: any] : ? [v8: % 57.92/8.57 any] : ? [v9: any] : (lattice(v0) = v4 & latt_str(v0) = v2 & % 57.92/8.57 empty_carrier(v0) = v3 & join_commutative(v0) = v5 & join_associative(v0) % 57.92/8.57 = v6 & meet_commutative(v0) = v7 & meet_associative(v0) = v8 & % 57.92/8.57 meet_absorbing(v0) = v9 & ( ~ (v4 = 0) | ~ (v2 = 0) | v3 = 0 | (v9 = 0 & % 57.92/8.57 v8 = 0 & v7 = 0 & v6 = 0 & v5 = 0 & v1 = 0)))) & ! [v0: $i] : ( ~ % 57.92/8.57 (lattice(v0) = 0) | ~ $i(v0) | ? [v1: any] : ? [v2: any] : ? [v3: any] : % 57.92/8.57 ? [v4: any] : ? [v5: any] : ? [v6: any] : ? [v7: any] : ? [v8: any] : % 57.92/8.57 (latt_str(v0) = v1 & empty_carrier(v0) = v2 & join_commutative(v0) = v3 & % 57.92/8.57 join_associative(v0) = v4 & meet_commutative(v0) = v5 & % 57.92/8.57 meet_associative(v0) = v6 & meet_absorbing(v0) = v7 & join_absorbing(v0) = % 57.92/8.57 v8 & ( ~ (v1 = 0) | v2 = 0 | (v8 = 0 & v7 = 0 & v6 = 0 & v5 = 0 & v4 = 0 & % 57.92/8.57 v3 = 0)))) & ! [v0: $i] : ( ~ (latt_str(v0) = 0) | ~ $i(v0) | ? % 57.92/8.57 [v1: any] : ? [v2: any] : ? [v3: any] : ? [v4: any] : ? [v5: any] : ? % 57.92/8.57 [v6: any] : ? [v7: any] : ? [v8: any] : (lattice(v0) = v2 & % 57.92/8.57 empty_carrier(v0) = v1 & join_commutative(v0) = v3 & join_associative(v0) % 57.92/8.57 = v4 & meet_commutative(v0) = v5 & meet_associative(v0) = v6 & % 57.92/8.57 meet_absorbing(v0) = v7 & join_absorbing(v0) = v8 & ( ~ (v2 = 0) | v1 = 0 % 57.92/8.57 | (v8 = 0 & v7 = 0 & v6 = 0 & v5 = 0 & v4 = 0 & v3 = 0)))) % 57.92/8.57 % 57.92/8.57 (cc2_lattices) % 57.92/8.58 ! [v0: $i] : ! [v1: int] : (v1 = 0 | ~ (empty_carrier(v0) = v1) | ~ $i(v0) % 57.92/8.58 | ? [v2: any] : ? [v3: any] : ? [v4: any] : ? [v5: any] : ? [v6: any] : % 57.92/8.58 ? [v7: any] : ? [v8: any] : ? [v9: any] : (lattice(v0) = v9 & % 57.92/8.58 latt_str(v0) = v2 & join_commutative(v0) = v3 & join_associative(v0) = v4 % 57.92/8.58 & meet_commutative(v0) = v5 & meet_associative(v0) = v6 & % 57.92/8.58 meet_absorbing(v0) = v7 & join_absorbing(v0) = v8 & ( ~ (v8 = 0) | ~ (v7 % 57.92/8.58 = 0) | ~ (v6 = 0) | ~ (v5 = 0) | ~ (v4 = 0) | ~ (v3 = 0) | ~ (v2 % 57.92/8.58 = 0) | v9 = 0))) & ! [v0: $i] : ! [v1: any] : ( ~ (lattice(v0) = v1) % 57.92/8.58 | ~ $i(v0) | ? [v2: any] : ? [v3: any] : ? [v4: any] : ? [v5: any] : ? % 57.92/8.58 [v6: any] : ? [v7: any] : ? [v8: any] : ? [v9: any] : (latt_str(v0) = v2 % 57.92/8.58 & empty_carrier(v0) = v3 & join_commutative(v0) = v4 & % 57.92/8.58 join_associative(v0) = v5 & meet_commutative(v0) = v6 & % 57.92/8.58 meet_associative(v0) = v7 & meet_absorbing(v0) = v8 & join_absorbing(v0) = % 57.92/8.58 v9 & ( ~ (v9 = 0) | ~ (v8 = 0) | ~ (v7 = 0) | ~ (v6 = 0) | ~ (v5 = 0) % 57.92/8.58 | ~ (v4 = 0) | ~ (v2 = 0) | v3 = 0 | v1 = 0))) & ! [v0: $i] : ( ~ % 57.92/8.58 (latt_str(v0) = 0) | ~ $i(v0) | ? [v1: any] : ? [v2: any] : ? [v3: any] % 57.92/8.58 : ? [v4: any] : ? [v5: any] : ? [v6: any] : ? [v7: any] : ? [v8: any] : % 57.92/8.58 (lattice(v0) = v8 & empty_carrier(v0) = v1 & join_commutative(v0) = v2 & % 57.92/8.58 join_associative(v0) = v3 & meet_commutative(v0) = v4 & % 57.92/8.58 meet_associative(v0) = v5 & meet_absorbing(v0) = v6 & join_absorbing(v0) = % 57.92/8.58 v7 & ( ~ (v7 = 0) | ~ (v6 = 0) | ~ (v5 = 0) | ~ (v4 = 0) | ~ (v3 = 0) % 57.92/8.58 | ~ (v2 = 0) | v8 = 0 | v1 = 0))) & ! [v0: $i] : ( ~ % 57.92/8.58 (join_commutative(v0) = 0) | ~ $i(v0) | ? [v1: any] : ? [v2: any] : ? % 57.92/8.58 [v3: any] : ? [v4: any] : ? [v5: any] : ? [v6: any] : ? [v7: any] : ? % 57.92/8.58 [v8: any] : (lattice(v0) = v8 & latt_str(v0) = v1 & empty_carrier(v0) = v2 & % 57.92/8.58 join_associative(v0) = v3 & meet_commutative(v0) = v4 & % 57.92/8.58 meet_associative(v0) = v5 & meet_absorbing(v0) = v6 & join_absorbing(v0) = % 57.92/8.58 v7 & ( ~ (v7 = 0) | ~ (v6 = 0) | ~ (v5 = 0) | ~ (v4 = 0) | ~ (v3 = 0) % 57.92/8.58 | ~ (v1 = 0) | v8 = 0 | v2 = 0))) & ! [v0: $i] : ( ~ % 57.92/8.58 (join_associative(v0) = 0) | ~ $i(v0) | ? [v1: any] : ? [v2: any] : ? % 57.92/8.58 [v3: any] : ? [v4: any] : ? [v5: any] : ? [v6: any] : ? [v7: any] : ? % 57.92/8.58 [v8: any] : (lattice(v0) = v8 & latt_str(v0) = v1 & empty_carrier(v0) = v2 & % 57.92/8.58 join_commutative(v0) = v3 & meet_commutative(v0) = v4 & % 57.92/8.58 meet_associative(v0) = v5 & meet_absorbing(v0) = v6 & join_absorbing(v0) = % 57.92/8.58 v7 & ( ~ (v7 = 0) | ~ (v6 = 0) | ~ (v5 = 0) | ~ (v4 = 0) | ~ (v3 = 0) % 57.92/8.58 | ~ (v1 = 0) | v8 = 0 | v2 = 0))) & ! [v0: $i] : ( ~ % 57.92/8.58 (meet_commutative(v0) = 0) | ~ $i(v0) | ? [v1: any] : ? [v2: any] : ? % 57.92/8.58 [v3: any] : ? [v4: any] : ? [v5: any] : ? [v6: any] : ? [v7: any] : ? % 57.92/8.58 [v8: any] : (lattice(v0) = v8 & latt_str(v0) = v1 & empty_carrier(v0) = v2 & % 57.92/8.58 join_commutative(v0) = v3 & join_associative(v0) = v4 & % 57.92/8.58 meet_associative(v0) = v5 & meet_absorbing(v0) = v6 & join_absorbing(v0) = % 57.92/8.58 v7 & ( ~ (v7 = 0) | ~ (v6 = 0) | ~ (v5 = 0) | ~ (v4 = 0) | ~ (v3 = 0) % 57.92/8.58 | ~ (v1 = 0) | v8 = 0 | v2 = 0))) & ! [v0: $i] : ( ~ % 57.92/8.58 (meet_associative(v0) = 0) | ~ $i(v0) | ? [v1: any] : ? [v2: any] : ? % 57.92/8.58 [v3: any] : ? [v4: any] : ? [v5: any] : ? [v6: any] : ? [v7: any] : ? % 57.92/8.58 [v8: any] : (lattice(v0) = v8 & latt_str(v0) = v1 & empty_carrier(v0) = v2 & % 57.92/8.58 join_commutative(v0) = v3 & join_associative(v0) = v4 & % 57.92/8.58 meet_commutative(v0) = v5 & meet_absorbing(v0) = v6 & join_absorbing(v0) = % 57.92/8.58 v7 & ( ~ (v7 = 0) | ~ (v6 = 0) | ~ (v5 = 0) | ~ (v4 = 0) | ~ (v3 = 0) % 57.92/8.58 | ~ (v1 = 0) | v8 = 0 | v2 = 0))) & ! [v0: $i] : ( ~ % 57.92/8.58 (meet_absorbing(v0) = 0) | ~ $i(v0) | ? [v1: any] : ? [v2: any] : ? [v3: % 57.92/8.58 any] : ? [v4: any] : ? [v5: any] : ? [v6: any] : ? [v7: any] : ? [v8: % 57.92/8.58 any] : (lattice(v0) = v8 & latt_str(v0) = v1 & empty_carrier(v0) = v2 & % 57.92/8.58 join_commutative(v0) = v3 & join_associative(v0) = v4 & % 57.92/8.58 meet_commutative(v0) = v5 & meet_associative(v0) = v6 & join_absorbing(v0) % 57.92/8.58 = v7 & ( ~ (v7 = 0) | ~ (v6 = 0) | ~ (v5 = 0) | ~ (v4 = 0) | ~ (v3 = % 57.92/8.58 0) | ~ (v1 = 0) | v8 = 0 | v2 = 0))) & ! [v0: $i] : ( ~ % 57.92/8.58 (join_absorbing(v0) = 0) | ~ $i(v0) | ? [v1: any] : ? [v2: any] : ? [v3: % 57.92/8.59 any] : ? [v4: any] : ? [v5: any] : ? [v6: any] : ? [v7: any] : ? [v8: % 57.92/8.59 any] : (lattice(v0) = v8 & latt_str(v0) = v1 & empty_carrier(v0) = v2 & % 57.92/8.59 join_commutative(v0) = v3 & join_associative(v0) = v4 & % 57.92/8.59 meet_commutative(v0) = v5 & meet_associative(v0) = v6 & meet_absorbing(v0) % 57.92/8.59 = v7 & ( ~ (v7 = 0) | ~ (v6 = 0) | ~ (v5 = 0) | ~ (v4 = 0) | ~ (v3 = % 57.92/8.59 0) | ~ (v1 = 0) | v8 = 0 | v2 = 0))) % 57.92/8.59 % 57.92/8.59 (d8_filter_1) % 57.92/8.59 ! [v0: $i] : ! [v1: int] : (v1 = 0 | ~ (empty_carrier(v0) = v1) | ~ $i(v0) % 57.92/8.59 | ? [v2: any] : ? [v3: any] : ? [v4: $i] : ? [v5: $i] : % 57.92/8.59 (a_1_0_filter_1(v0) = v5 & relation_of_lattice(v0) = v4 & lattice(v0) = v2 & % 57.92/8.59 latt_str(v0) = v3 & $i(v5) & $i(v4) & ( ~ (v3 = 0) | ~ (v2 = 0) | v5 = % 57.92/8.59 v4))) & ! [v0: $i] : ! [v1: $i] : ( ~ (a_1_0_filter_1(v0) = v1) | ~ % 57.92/8.59 $i(v0) | ? [v2: any] : ? [v3: any] : ? [v4: any] : ? [v5: $i] : % 57.92/8.59 (relation_of_lattice(v0) = v5 & lattice(v0) = v3 & latt_str(v0) = v4 & % 57.92/8.59 empty_carrier(v0) = v2 & $i(v5) & ( ~ (v4 = 0) | ~ (v3 = 0) | v5 = v1 | % 57.92/8.59 v2 = 0))) & ! [v0: $i] : ! [v1: $i] : ( ~ (relation_of_lattice(v0) = % 57.92/8.59 v1) | ~ $i(v0) | ? [v2: any] : ? [v3: any] : ? [v4: any] : ? [v5: $i] % 57.92/8.59 : (a_1_0_filter_1(v0) = v5 & lattice(v0) = v3 & latt_str(v0) = v4 & % 57.92/8.59 empty_carrier(v0) = v2 & $i(v5) & ( ~ (v4 = 0) | ~ (v3 = 0) | v5 = v1 | % 57.92/8.59 v2 = 0))) & ! [v0: $i] : ( ~ (lattice(v0) = 0) | ~ $i(v0) | ? [v1: % 57.92/8.59 any] : ? [v2: any] : ? [v3: $i] : ? [v4: $i] : (a_1_0_filter_1(v0) = v4 % 57.92/8.59 & relation_of_lattice(v0) = v3 & latt_str(v0) = v2 & empty_carrier(v0) = % 57.92/8.59 v1 & $i(v4) & $i(v3) & ( ~ (v2 = 0) | v4 = v3 | v1 = 0))) & ! [v0: $i] : % 57.92/8.59 ( ~ (latt_str(v0) = 0) | ~ $i(v0) | ? [v1: any] : ? [v2: any] : ? [v3: $i] % 57.92/8.59 : ? [v4: $i] : (a_1_0_filter_1(v0) = v4 & relation_of_lattice(v0) = v3 & % 57.92/8.59 lattice(v0) = v2 & empty_carrier(v0) = v1 & $i(v4) & $i(v3) & ( ~ (v2 = 0) % 57.92/8.59 | v4 = v3 | v1 = 0))) % 57.92/8.59 % 57.92/8.59 (dt_k1_domain_1) % 57.92/8.59 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ( ~ % 57.92/8.59 (ordered_pair_as_product_element(v0, v1, v2, v3) = v4) | ~ $i(v3) | ~ % 57.92/8.59 $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v5: any] : ? [v6: any] : ? [v7: any] % 57.92/8.59 : ? [v8: any] : ? [v9: $i] : ? [v10: any] : (empty(v1) = v6 & empty(v0) = % 57.92/8.59 v5 & cartesian_product2(v0, v1) = v9 & element(v4, v9) = v10 & element(v3, % 57.92/8.59 v1) = v8 & element(v2, v0) = v7 & $i(v9) & ( ~ (v8 = 0) | ~ (v7 = 0) | % 57.92/8.59 v10 = 0 | v6 = 0 | v5 = 0))) % 57.92/8.59 % 57.92/8.59 (dt_k9_filter_1) % 58.21/8.60 ! [v0: $i] : ! [v1: int] : (v1 = 0 | ~ (empty_carrier(v0) = v1) | ~ $i(v0) % 58.21/8.60 | ? [v2: any] : ? [v3: any] : ? [v4: $i] : ? [v5: any] : (relation(v4) = % 58.21/8.60 v5 & relation_of_lattice(v0) = v4 & lattice(v0) = v2 & latt_str(v0) = v3 & % 58.21/8.60 $i(v4) & ( ~ (v3 = 0) | ~ (v2 = 0) | v5 = 0))) & ! [v0: $i] : ! [v1: % 58.21/8.60 $i] : ( ~ (relation_of_lattice(v0) = v1) | ~ $i(v0) | ? [v2: any] : ? % 58.21/8.60 [v3: any] : ? [v4: any] : ? [v5: any] : (relation(v1) = v5 & lattice(v0) = % 58.21/8.60 v3 & latt_str(v0) = v4 & empty_carrier(v0) = v2 & ( ~ (v4 = 0) | ~ (v3 = % 58.21/8.60 0) | v5 = 0 | v2 = 0))) & ! [v0: $i] : ( ~ (lattice(v0) = 0) | ~ % 58.21/8.60 $i(v0) | ? [v1: any] : ? [v2: any] : ? [v3: $i] : ? [v4: any] : % 58.21/8.60 (relation(v3) = v4 & relation_of_lattice(v0) = v3 & latt_str(v0) = v2 & % 58.21/8.60 empty_carrier(v0) = v1 & $i(v3) & ( ~ (v2 = 0) | v4 = 0 | v1 = 0))) & ! % 58.21/8.60 [v0: $i] : ( ~ (latt_str(v0) = 0) | ~ $i(v0) | ? [v1: any] : ? [v2: any] : % 58.21/8.60 ? [v3: $i] : ? [v4: any] : (relation(v3) = v4 & relation_of_lattice(v0) = % 58.21/8.60 v3 & lattice(v0) = v2 & empty_carrier(v0) = v1 & $i(v3) & ( ~ (v2 = 0) | % 58.21/8.60 v4 = 0 | v1 = 0))) % 58.21/8.60 % 58.21/8.60 (dt_l1_lattices) % 58.21/8.60 ! [v0: $i] : ! [v1: int] : (v1 = 0 | ~ (one_sorted_str(v0) = v1) | ~ % 58.21/8.60 $i(v0) | ? [v2: int] : ( ~ (v2 = 0) & meet_semilatt_str(v0) = v2)) & ! % 58.21/8.60 [v0: $i] : ( ~ (meet_semilatt_str(v0) = 0) | ~ $i(v0) | one_sorted_str(v0) = % 58.21/8.60 0) % 58.21/8.60 % 58.21/8.60 (dt_l2_lattices) % 58.21/8.60 ! [v0: $i] : ! [v1: int] : (v1 = 0 | ~ (one_sorted_str(v0) = v1) | ~ % 58.21/8.60 $i(v0) | ? [v2: int] : ( ~ (v2 = 0) & join_semilatt_str(v0) = v2)) & ! % 58.21/8.60 [v0: $i] : ( ~ (join_semilatt_str(v0) = 0) | ~ $i(v0) | one_sorted_str(v0) = % 58.21/8.60 0) % 58.21/8.60 % 58.21/8.60 (dt_l3_lattices) % 58.21/8.60 ! [v0: $i] : ! [v1: any] : ( ~ (join_semilatt_str(v0) = v1) | ~ $i(v0) | ? % 58.21/8.60 [v2: any] : ? [v3: any] : (meet_semilatt_str(v0) = v3 & latt_str(v0) = v2 & % 58.21/8.60 ( ~ (v2 = 0) | (v3 = 0 & v1 = 0)))) & ! [v0: $i] : ! [v1: any] : ( ~ % 58.21/8.60 (meet_semilatt_str(v0) = v1) | ~ $i(v0) | ? [v2: any] : ? [v3: any] : % 58.21/8.60 (join_semilatt_str(v0) = v3 & latt_str(v0) = v2 & ( ~ (v2 = 0) | (v3 = 0 & % 58.21/8.60 v1 = 0)))) & ! [v0: $i] : ( ~ (latt_str(v0) = 0) | ~ $i(v0) | % 58.21/8.60 (join_semilatt_str(v0) = 0 & meet_semilatt_str(v0) = 0)) % 58.21/8.60 % 58.21/8.60 (existence_l1_struct_0) % 58.21/8.60 ? [v0: $i] : (one_sorted_str(v0) = 0 & $i(v0)) % 58.21/8.60 % 58.21/8.60 (existence_l3_lattices) % 58.21/8.60 ? [v0: $i] : (latt_str(v0) = 0 & $i(v0)) % 58.21/8.60 % 58.21/8.60 (fc1_struct_0) % 58.21/8.60 ! [v0: $i] : ! [v1: int] : (v1 = 0 | ~ (empty_carrier(v0) = v1) | ~ $i(v0) % 58.21/8.60 | ? [v2: any] : ? [v3: $i] : ? [v4: any] : (the_carrier(v0) = v3 & % 58.21/8.60 one_sorted_str(v0) = v2 & empty(v3) = v4 & $i(v3) & ( ~ (v4 = 0) | ~ (v2 % 58.21/8.60 = 0)))) & ! [v0: $i] : ! [v1: $i] : ( ~ (the_carrier(v0) = v1) | ~ % 58.21/8.60 $i(v0) | ? [v2: any] : ? [v3: any] : ? [v4: any] : (one_sorted_str(v0) = % 58.21/8.60 v3 & empty(v1) = v4 & empty_carrier(v0) = v2 & ( ~ (v4 = 0) | ~ (v3 = 0) % 58.21/8.60 | v2 = 0))) & ! [v0: $i] : ( ~ (one_sorted_str(v0) = 0) | ~ $i(v0) | % 58.21/8.60 ? [v1: any] : ? [v2: $i] : ? [v3: any] : (the_carrier(v0) = v2 & empty(v2) % 58.21/8.60 = v3 & empty_carrier(v0) = v1 & $i(v2) & ( ~ (v3 = 0) | v1 = 0))) % 58.21/8.60 % 58.21/8.60 (fc4_subset_1) % 58.21/8.61 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ (cartesian_product2(v0, v1) = % 58.21/8.61 v2) | ~ $i(v1) | ~ $i(v0) | ? [v3: any] : ? [v4: any] : ? [v5: any] : % 58.21/8.61 (empty(v2) = v5 & empty(v1) = v4 & empty(v0) = v3 & ( ~ (v5 = 0) | v4 = 0 | % 58.21/8.61 v3 = 0))) % 58.21/8.61 % 58.21/8.61 (fraenkel_a_1_0_filter_1) % 58.21/8.61 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: any] : ( ~ % 58.21/8.61 (a_1_0_filter_1(v1) = v2) | ~ (in(v0, v2) = v3) | ~ $i(v1) | ~ $i(v0) | % 58.21/8.61 ? [v4: any] : ? [v5: any] : ? [v6: any] : ? [v7: $i] : ? [v8: $i] : ? % 58.21/8.61 [v9: $i] : ? [v10: int] : ? [v11: int] : ? [v12: $i] : ? [v13: int] : % 58.21/8.61 (the_carrier(v1) = v7 & lattice(v1) = v5 & latt_str(v1) = v6 & % 58.21/8.61 empty_carrier(v1) = v4 & $i(v9) & $i(v8) & $i(v7) & ( ~ (v6 = 0) | ~ (v5 % 58.21/8.61 = 0) | v4 = 0 | (( ~ (v3 = 0) | (v13 = 0 & v12 = v0 & v11 = 0 & v10 = % 58.21/8.61 0 & below_refl(v1, v8, v9) = 0 & % 58.21/8.61 ordered_pair_as_product_element(v7, v7, v8, v9) = v0 & element(v9, % 58.21/8.61 v7) = 0 & element(v8, v7) = 0)) & (v3 = 0 | ( ! [v14: $i] : ! % 58.21/8.61 [v15: $i] : ( ~ (below_refl(v1, v14, v15) = 0) | ~ $i(v15) | ~ % 58.21/8.61 $i(v14) | ? [v16: any] : ? [v17: any] : ? [v18: $i] : % 58.21/8.61 (ordered_pair_as_product_element(v7, v7, v14, v15) = v18 & % 58.21/8.61 element(v15, v7) = v17 & element(v14, v7) = v16 & $i(v18) & ( % 58.21/8.61 ~ (v18 = v0) | ~ (v17 = 0) | ~ (v16 = 0)))) & ! [v14: $i] % 58.21/8.61 : ! [v15: $i] : ( ~ (ordered_pair_as_product_element(v7, v7, v14, % 58.21/8.61 v15) = v0) | ~ $i(v15) | ~ $i(v14) | ? [v16: any] : ? % 58.21/8.61 [v17: any] : ? [v18: any] : (below_refl(v1, v14, v15) = v18 & % 58.21/8.61 element(v15, v7) = v17 & element(v14, v7) = v16 & ( ~ (v18 = % 58.21/8.61 0) | ~ (v17 = 0) | ~ (v16 = 0)))))))))) % 58.21/8.61 % 58.21/8.61 (rc3_struct_0) % 58.21/8.61 ? [v0: $i] : ? [v1: int] : ( ~ (v1 = 0) & one_sorted_str(v0) = 0 & % 58.21/8.61 empty_carrier(v0) = v1 & $i(v0)) % 58.21/8.61 % 58.21/8.61 (redefinition_k1_domain_1) % 58.21/8.61 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ( ~ % 58.21/8.61 (ordered_pair_as_product_element(v0, v1, v2, v3) = v4) | ~ $i(v3) | ~ % 58.21/8.61 $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v5: any] : ? [v6: any] : ? [v7: any] % 58.21/8.61 : ? [v8: any] : ? [v9: $i] : (empty(v1) = v6 & empty(v0) = v5 & % 58.21/8.61 element(v3, v1) = v8 & element(v2, v0) = v7 & ordered_pair(v2, v3) = v9 & % 58.21/8.61 $i(v9) & ( ~ (v8 = 0) | ~ (v7 = 0) | v9 = v4 | v6 = 0 | v5 = 0))) % 58.21/8.61 % 58.21/8.61 (redefinition_r3_lattices) % 58.21/8.62 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: any] : ( ~ (below(v0, v1, % 58.21/8.62 v2) = v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v4: any] : ? [v5: % 58.21/8.62 any] : ? [v6: any] : ? [v7: any] : ? [v8: any] : ? [v9: $i] : ? [v10: % 58.21/8.62 any] : ? [v11: any] : ? [v12: any] : (below_refl(v0, v1, v2) = v12 & % 58.21/8.62 the_carrier(v0) = v9 & element(v2, v9) = v11 & element(v1, v9) = v10 & % 58.21/8.62 latt_str(v0) = v8 & empty_carrier(v0) = v4 & meet_commutative(v0) = v5 & % 58.21/8.62 meet_absorbing(v0) = v6 & join_absorbing(v0) = v7 & $i(v9) & ( ~ (v11 = 0) % 58.21/8.62 | ~ (v10 = 0) | ~ (v8 = 0) | ~ (v7 = 0) | ~ (v6 = 0) | ~ (v5 = 0) | % 58.21/8.62 v4 = 0 | (( ~ (v12 = 0) | v3 = 0) & ( ~ (v3 = 0) | v12 = 0))))) & ! % 58.21/8.62 [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: any] : ( ~ (below_refl(v0, v1, % 58.21/8.62 v2) = v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v4: any] : ? [v5: % 58.21/8.62 any] : ? [v6: any] : ? [v7: any] : ? [v8: any] : ? [v9: $i] : ? [v10: % 58.21/8.62 any] : ? [v11: any] : ? [v12: any] : (below(v0, v1, v2) = v12 & % 58.21/8.62 the_carrier(v0) = v9 & element(v2, v9) = v11 & element(v1, v9) = v10 & % 58.21/8.62 latt_str(v0) = v8 & empty_carrier(v0) = v4 & meet_commutative(v0) = v5 & % 58.21/8.62 meet_absorbing(v0) = v6 & join_absorbing(v0) = v7 & $i(v9) & ( ~ (v11 = 0) % 58.21/8.62 | ~ (v10 = 0) | ~ (v8 = 0) | ~ (v7 = 0) | ~ (v6 = 0) | ~ (v5 = 0) | % 58.21/8.62 v4 = 0 | (( ~ (v12 = 0) | v3 = 0) & ( ~ (v3 = 0) | v12 = 0))))) % 58.21/8.62 % 58.21/8.62 (reflexivity_r3_lattices) % 58.21/8.62 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: int] : (v4 = 0 % 58.21/8.62 | ~ (below_refl(v0, v1, v1) = v4) | ~ (the_carrier(v0) = v3) | ~ % 58.21/8.62 (element(v2, v3) = 0) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v5: any] : % 58.21/8.62 ? [v6: any] : ? [v7: any] : ? [v8: any] : ? [v9: any] : ? [v10: any] : % 58.21/8.62 (element(v1, v3) = v10 & latt_str(v0) = v9 & empty_carrier(v0) = v5 & % 58.21/8.62 meet_commutative(v0) = v6 & meet_absorbing(v0) = v7 & join_absorbing(v0) = % 58.21/8.62 v8 & ( ~ (v10 = 0) | ~ (v9 = 0) | ~ (v8 = 0) | ~ (v7 = 0) | ~ (v6 = 0) % 58.21/8.62 | v5 = 0))) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( % 58.21/8.62 ~ (the_carrier(v0) = v3) | ~ (element(v2, v3) = 0) | ~ (element(v1, v3) = % 58.21/8.62 0) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v4: any] : ? [v5: any] : ? % 58.21/8.62 [v6: any] : ? [v7: any] : ? [v8: any] : ? [v9: any] : (below_refl(v0, v1, % 58.21/8.62 v1) = v9 & latt_str(v0) = v8 & empty_carrier(v0) = v4 & % 58.21/8.62 meet_commutative(v0) = v5 & meet_absorbing(v0) = v6 & join_absorbing(v0) = % 58.21/8.62 v7 & ( ~ (v8 = 0) | ~ (v7 = 0) | ~ (v6 = 0) | ~ (v5 = 0) | v9 = 0 | v4 % 58.21/8.62 = 0))) % 58.21/8.62 % 58.21/8.62 (t2_subset) % 58.21/8.62 ! [v0: $i] : ! [v1: $i] : ! [v2: int] : (v2 = 0 | ~ (in(v0, v1) = v2) | ~ % 58.21/8.62 $i(v1) | ~ $i(v0) | ? [v3: any] : ? [v4: any] : (empty(v1) = v4 & % 58.21/8.62 element(v0, v1) = v3 & ( ~ (v3 = 0) | v4 = 0))) & ! [v0: $i] : ! [v1: % 58.21/8.62 $i] : ( ~ (element(v0, v1) = 0) | ~ $i(v1) | ~ $i(v0) | ? [v2: any] : ? % 58.21/8.62 [v3: any] : (empty(v1) = v2 & in(v0, v1) = v3 & (v3 = 0 | v2 = 0))) % 58.21/8.62 % 58.21/8.62 (t32_filter_1) % 58.21/8.62 ? [v0: $i] : ? [v1: int] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] : ? [v5: % 58.21/8.62 $i] : ? [v6: $i] : ? [v7: any] : ? [v8: any] : ( ~ (v1 = 0) & % 58.21/8.62 below_refl(v0, v4, v5) = v8 & the_carrier(v0) = v2 & % 58.21/8.62 ordered_pair_as_product_element(v2, v2, v4, v5) = v6 & element(v5, v2) = 0 & % 58.21/8.62 element(v4, v2) = 0 & relation_of_lattice(v0) = v3 & lattice(v0) = 0 & % 58.21/8.62 latt_str(v0) = 0 & empty_carrier(v0) = v1 & in(v6, v3) = v7 & $i(v6) & % 58.21/8.62 $i(v5) & $i(v4) & $i(v3) & $i(v2) & $i(v0) & ((v8 = 0 & ~ (v7 = 0)) | (v7 = % 58.21/8.62 0 & ~ (v8 = 0)))) % 58.21/8.62 % 58.21/8.62 (t33_zfmisc_1) % 58.21/8.63 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : (v3 = v1 % 58.21/8.63 | ~ (ordered_pair(v2, v3) = v4) | ~ (ordered_pair(v0, v1) = v4) | ~ % 58.21/8.63 $i(v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0)) & ! [v0: $i] : ! [v1: $i] : ! % 58.21/8.63 [v2: $i] : ! [v3: $i] : ! [v4: $i] : (v2 = v0 | ~ (ordered_pair(v2, v3) = % 58.21/8.63 v4) | ~ (ordered_pair(v0, v1) = v4) | ~ $i(v3) | ~ $i(v2) | ~ $i(v1) | % 58.21/8.63 ~ $i(v0)) % 58.21/8.63 % 58.21/8.63 (function-axioms) % 58.21/8.63 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: % 58.21/8.63 $i] : (v1 = v0 | ~ (ordered_pair_as_product_element(v5, v4, v3, v2) = v1) | % 58.21/8.63 ~ (ordered_pair_as_product_element(v5, v4, v3, v2) = v0)) & ! [v0: % 58.21/8.63 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : ! [v3: $i] % 58.21/8.63 : ! [v4: $i] : (v1 = v0 | ~ (below(v4, v3, v2) = v1) | ~ (below(v4, v3, v2) % 58.21/8.63 = v0)) & ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: % 58.21/8.63 $i] : ! [v3: $i] : ! [v4: $i] : (v1 = v0 | ~ (below_refl(v4, v3, v2) = % 58.21/8.63 v1) | ~ (below_refl(v4, v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! % 58.21/8.63 [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ (cartesian_product2(v3, v2) = v1) | ~ % 58.21/8.63 (cartesian_product2(v3, v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1: % 58.21/8.63 MultipleValueBool] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ (element(v3, % 58.21/8.63 v2) = v1) | ~ (element(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! % 58.21/8.63 [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ (ordered_pair(v3, v2) = v1) | ~ % 58.21/8.63 (ordered_pair(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! % 58.21/8.63 [v3: $i] : (v1 = v0 | ~ (unordered_pair(v3, v2) = v1) | ~ % 58.21/8.63 (unordered_pair(v3, v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1: % 58.21/8.63 MultipleValueBool] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ (in(v3, v2) = % 58.21/8.64 v1) | ~ (in(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : % 58.21/8.64 (v1 = v0 | ~ (the_carrier(v2) = v1) | ~ (the_carrier(v2) = v0)) & ! [v0: % 58.21/8.64 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 | % 58.21/8.64 ~ (join_semilatt_str(v2) = v1) | ~ (join_semilatt_str(v2) = v0)) & ! [v0: % 58.21/8.64 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 | % 58.21/8.64 ~ (one_sorted_str(v2) = v1) | ~ (one_sorted_str(v2) = v0)) & ! [v0: % 58.21/8.64 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 | % 58.21/8.64 ~ (meet_semilatt_str(v2) = v1) | ~ (meet_semilatt_str(v2) = v0)) & ! [v0: % 58.21/8.64 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 | % 58.21/8.64 ~ (relation(v2) = v1) | ~ (relation(v2) = v0)) & ! [v0: MultipleValueBool] % 58.21/8.64 : ! [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~ (empty(v2) = v1) | % 58.21/8.64 ~ (empty(v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | % 58.21/8.64 ~ (a_1_0_filter_1(v2) = v1) | ~ (a_1_0_filter_1(v2) = v0)) & ! [v0: $i] : % 58.21/8.64 ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (relation_of_lattice(v2) = v1) | ~ % 58.21/8.64 (relation_of_lattice(v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : % 58.21/8.64 (v1 = v0 | ~ (singleton(v2) = v1) | ~ (singleton(v2) = v0)) & ! [v0: % 58.21/8.64 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 | % 58.21/8.64 ~ (lattice(v2) = v1) | ~ (lattice(v2) = v0)) & ! [v0: MultipleValueBool] : % 58.21/8.64 ! [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~ (latt_str(v2) = v1) | % 58.21/8.64 ~ (latt_str(v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1: % 58.21/8.64 MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~ (empty_carrier(v2) = v1) | % 58.21/8.64 ~ (empty_carrier(v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1: % 58.21/8.64 MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~ (join_commutative(v2) = v1) % 58.21/8.64 | ~ (join_commutative(v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1: % 58.21/8.64 MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~ (join_associative(v2) = v1) % 58.21/8.64 | ~ (join_associative(v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1: % 58.21/8.64 MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~ (meet_commutative(v2) = v1) % 58.21/8.64 | ~ (meet_commutative(v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1: % 58.21/8.64 MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~ (meet_associative(v2) = v1) % 58.21/8.64 | ~ (meet_associative(v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1: % 58.21/8.64 MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~ (meet_absorbing(v2) = v1) | % 58.21/8.64 ~ (meet_absorbing(v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1: % 58.21/8.64 MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~ (join_absorbing(v2) = v1) | % 58.21/8.64 ~ (join_absorbing(v2) = v0)) % 58.21/8.64 % 58.21/8.64 Further assumptions not needed in the proof: % 58.21/8.64 -------------------------------------------- % 58.21/8.64 antisymmetry_r2_hidden, commutativity_k2_tarski, d5_tarski, dt_k1_tarski, % 58.21/8.64 dt_k1_xboole_0, dt_k2_tarski, dt_k2_zfmisc_1, dt_k4_tarski, dt_l1_struct_0, % 58.21/8.64 dt_m1_subset_1, dt_u1_struct_0, existence_l1_lattices, existence_l2_lattices, % 58.21/8.64 existence_m1_subset_1, fc1_xboole_0, fc2_subset_1, fc3_subset_1, rc1_xboole_0, % 58.21/8.64 rc2_xboole_0, t1_subset, t2_tarski, t6_boole, t7_boole, t8_boole % 58.21/8.64 % 58.21/8.64 Those formulas are unsatisfiable: % 58.21/8.64 --------------------------------- % 58.21/8.64 % 58.21/8.64 Begin of proof % 58.21/8.64 | % 58.21/8.64 | ALPHA: (cc1_lattices) implies: % 58.21/8.64 | (1) ! [v0: $i] : ( ~ (latt_str(v0) = 0) | ~ $i(v0) | ? [v1: any] : ? % 58.21/8.64 | [v2: any] : ? [v3: any] : ? [v4: any] : ? [v5: any] : ? [v6: any] % 58.21/8.64 | : ? [v7: any] : ? [v8: any] : (lattice(v0) = v2 & empty_carrier(v0) % 58.21/8.64 | = v1 & join_commutative(v0) = v3 & join_associative(v0) = v4 & % 58.21/8.64 | meet_commutative(v0) = v5 & meet_associative(v0) = v6 & % 58.21/8.64 | meet_absorbing(v0) = v7 & join_absorbing(v0) = v8 & ( ~ (v2 = 0) | % 58.21/8.64 | v1 = 0 | (v8 = 0 & v7 = 0 & v6 = 0 & v5 = 0 & v4 = 0 & v3 = 0)))) % 58.21/8.64 | (2) ! [v0: $i] : ( ~ (lattice(v0) = 0) | ~ $i(v0) | ? [v1: any] : ? % 58.21/8.64 | [v2: any] : ? [v3: any] : ? [v4: any] : ? [v5: any] : ? [v6: any] % 58.21/8.64 | : ? [v7: any] : ? [v8: any] : (latt_str(v0) = v1 & % 58.21/8.64 | empty_carrier(v0) = v2 & join_commutative(v0) = v3 & % 58.21/8.64 | join_associative(v0) = v4 & meet_commutative(v0) = v5 & % 58.21/8.64 | meet_associative(v0) = v6 & meet_absorbing(v0) = v7 & % 58.21/8.64 | join_absorbing(v0) = v8 & ( ~ (v1 = 0) | v2 = 0 | (v8 = 0 & v7 = 0 % 58.21/8.64 | & v6 = 0 & v5 = 0 & v4 = 0 & v3 = 0)))) % 58.21/8.64 | (3) ! [v0: $i] : ! [v1: any] : ( ~ (join_absorbing(v0) = v1) | ~ $i(v0) % 58.21/8.64 | | ? [v2: any] : ? [v3: any] : ? [v4: any] : ? [v5: any] : ? [v6: % 58.21/8.64 | any] : ? [v7: any] : ? [v8: any] : ? [v9: any] : (lattice(v0) = % 58.21/8.64 | v4 & latt_str(v0) = v2 & empty_carrier(v0) = v3 & % 58.21/8.64 | join_commutative(v0) = v5 & join_associative(v0) = v6 & % 58.21/8.64 | meet_commutative(v0) = v7 & meet_associative(v0) = v8 & % 58.21/8.64 | meet_absorbing(v0) = v9 & ( ~ (v4 = 0) | ~ (v2 = 0) | v3 = 0 | (v9 % 58.21/8.64 | = 0 & v8 = 0 & v7 = 0 & v6 = 0 & v5 = 0 & v1 = 0)))) % 58.21/8.65 | (4) ! [v0: $i] : ! [v1: any] : ( ~ (meet_absorbing(v0) = v1) | ~ $i(v0) % 58.21/8.65 | | ? [v2: any] : ? [v3: any] : ? [v4: any] : ? [v5: any] : ? [v6: % 58.21/8.65 | any] : ? [v7: any] : ? [v8: any] : ? [v9: any] : (lattice(v0) = % 58.21/8.65 | v4 & latt_str(v0) = v2 & empty_carrier(v0) = v3 & % 58.21/8.65 | join_commutative(v0) = v5 & join_associative(v0) = v6 & % 58.21/8.65 | meet_commutative(v0) = v7 & meet_associative(v0) = v8 & % 58.21/8.65 | join_absorbing(v0) = v9 & ( ~ (v4 = 0) | ~ (v2 = 0) | v3 = 0 | (v9 % 58.21/8.65 | = 0 & v8 = 0 & v7 = 0 & v6 = 0 & v5 = 0 & v1 = 0)))) % 58.21/8.65 | (5) ! [v0: $i] : ! [v1: any] : ( ~ (meet_associative(v0) = v1) | ~ % 58.21/8.65 | $i(v0) | ? [v2: any] : ? [v3: any] : ? [v4: any] : ? [v5: any] : % 58.21/8.65 | ? [v6: any] : ? [v7: any] : ? [v8: any] : ? [v9: any] : % 58.21/8.65 | (lattice(v0) = v4 & latt_str(v0) = v2 & empty_carrier(v0) = v3 & % 58.21/8.65 | join_commutative(v0) = v5 & join_associative(v0) = v6 & % 58.21/8.65 | meet_commutative(v0) = v7 & meet_absorbing(v0) = v8 & % 58.21/8.65 | join_absorbing(v0) = v9 & ( ~ (v4 = 0) | ~ (v2 = 0) | v3 = 0 | (v9 % 58.21/8.65 | = 0 & v8 = 0 & v7 = 0 & v6 = 0 & v5 = 0 & v1 = 0)))) % 58.21/8.65 | (6) ! [v0: $i] : ! [v1: any] : ( ~ (meet_commutative(v0) = v1) | ~ % 58.21/8.65 | $i(v0) | ? [v2: any] : ? [v3: any] : ? [v4: any] : ? [v5: any] : % 58.21/8.65 | ? [v6: any] : ? [v7: any] : ? [v8: any] : ? [v9: any] : % 58.21/8.65 | (lattice(v0) = v4 & latt_str(v0) = v2 & empty_carrier(v0) = v3 & % 58.21/8.65 | join_commutative(v0) = v5 & join_associative(v0) = v6 & % 58.21/8.65 | meet_associative(v0) = v7 & meet_absorbing(v0) = v8 & % 58.21/8.65 | join_absorbing(v0) = v9 & ( ~ (v4 = 0) | ~ (v2 = 0) | v3 = 0 | (v9 % 58.21/8.65 | = 0 & v8 = 0 & v7 = 0 & v6 = 0 & v5 = 0 & v1 = 0)))) % 58.21/8.65 | (7) ! [v0: $i] : ! [v1: any] : ( ~ (join_associative(v0) = v1) | ~ % 58.21/8.65 | $i(v0) | ? [v2: any] : ? [v3: any] : ? [v4: any] : ? [v5: any] : % 58.21/8.65 | ? [v6: any] : ? [v7: any] : ? [v8: any] : ? [v9: any] : % 58.21/8.65 | (lattice(v0) = v4 & latt_str(v0) = v2 & empty_carrier(v0) = v3 & % 58.21/8.65 | join_commutative(v0) = v5 & meet_commutative(v0) = v6 & % 58.21/8.65 | meet_associative(v0) = v7 & meet_absorbing(v0) = v8 & % 58.21/8.65 | join_absorbing(v0) = v9 & ( ~ (v4 = 0) | ~ (v2 = 0) | v3 = 0 | (v9 % 58.21/8.65 | = 0 & v8 = 0 & v7 = 0 & v6 = 0 & v5 = 0 & v1 = 0)))) % 58.21/8.65 | (8) ! [v0: $i] : ! [v1: any] : ( ~ (join_commutative(v0) = v1) | ~ % 58.21/8.65 | $i(v0) | ? [v2: any] : ? [v3: any] : ? [v4: any] : ? [v5: any] : % 58.21/8.65 | ? [v6: any] : ? [v7: any] : ? [v8: any] : ? [v9: any] : % 58.21/8.65 | (lattice(v0) = v4 & latt_str(v0) = v2 & empty_carrier(v0) = v3 & % 58.21/8.65 | join_associative(v0) = v5 & meet_commutative(v0) = v6 & % 58.21/8.65 | meet_associative(v0) = v7 & meet_absorbing(v0) = v8 & % 58.21/8.65 | join_absorbing(v0) = v9 & ( ~ (v4 = 0) | ~ (v2 = 0) | v3 = 0 | (v9 % 58.21/8.65 | = 0 & v8 = 0 & v7 = 0 & v6 = 0 & v5 = 0 & v1 = 0)))) % 58.50/8.66 | (9) ! [v0: $i] : ! [v1: int] : (v1 = 0 | ~ (empty_carrier(v0) = v1) | ~ % 58.50/8.66 | $i(v0) | ? [v2: any] : ? [v3: any] : ? [v4: any] : ? [v5: any] : % 58.50/8.66 | ? [v6: any] : ? [v7: any] : ? [v8: any] : ? [v9: any] : % 58.50/8.66 | (lattice(v0) = v3 & latt_str(v0) = v2 & join_commutative(v0) = v4 & % 58.50/8.66 | join_associative(v0) = v5 & meet_commutative(v0) = v6 & % 58.50/8.66 | meet_associative(v0) = v7 & meet_absorbing(v0) = v8 & % 58.50/8.66 | join_absorbing(v0) = v9 & ( ~ (v3 = 0) | ~ (v2 = 0) | (v9 = 0 & v8 % 58.50/8.66 | = 0 & v7 = 0 & v6 = 0 & v5 = 0 & v4 = 0)))) % 58.50/8.66 | % 58.50/8.66 | ALPHA: (cc2_lattices) implies: % 58.51/8.66 | (10) ! [v0: $i] : ( ~ (latt_str(v0) = 0) | ~ $i(v0) | ? [v1: any] : ? % 58.51/8.66 | [v2: any] : ? [v3: any] : ? [v4: any] : ? [v5: any] : ? [v6: % 58.51/8.66 | any] : ? [v7: any] : ? [v8: any] : (lattice(v0) = v8 & % 58.51/8.66 | empty_carrier(v0) = v1 & join_commutative(v0) = v2 & % 58.51/8.66 | join_associative(v0) = v3 & meet_commutative(v0) = v4 & % 58.51/8.66 | meet_associative(v0) = v5 & meet_absorbing(v0) = v6 & % 58.51/8.66 | join_absorbing(v0) = v7 & ( ~ (v7 = 0) | ~ (v6 = 0) | ~ (v5 = 0) % 58.51/8.66 | | ~ (v4 = 0) | ~ (v3 = 0) | ~ (v2 = 0) | v8 = 0 | v1 = 0))) % 58.51/8.66 | (11) ! [v0: $i] : ! [v1: any] : ( ~ (lattice(v0) = v1) | ~ $i(v0) | ? % 58.51/8.66 | [v2: any] : ? [v3: any] : ? [v4: any] : ? [v5: any] : ? [v6: % 58.51/8.66 | any] : ? [v7: any] : ? [v8: any] : ? [v9: any] : (latt_str(v0) % 58.51/8.66 | = v2 & empty_carrier(v0) = v3 & join_commutative(v0) = v4 & % 58.51/8.66 | join_associative(v0) = v5 & meet_commutative(v0) = v6 & % 58.51/8.66 | meet_associative(v0) = v7 & meet_absorbing(v0) = v8 & % 58.51/8.66 | join_absorbing(v0) = v9 & ( ~ (v9 = 0) | ~ (v8 = 0) | ~ (v7 = 0) % 58.51/8.66 | | ~ (v6 = 0) | ~ (v5 = 0) | ~ (v4 = 0) | ~ (v2 = 0) | v3 = 0 % 58.51/8.66 | | v1 = 0))) % 58.51/8.66 | (12) ! [v0: $i] : ! [v1: int] : (v1 = 0 | ~ (empty_carrier(v0) = v1) | % 58.51/8.66 | ~ $i(v0) | ? [v2: any] : ? [v3: any] : ? [v4: any] : ? [v5: any] % 58.51/8.66 | : ? [v6: any] : ? [v7: any] : ? [v8: any] : ? [v9: any] : % 58.51/8.66 | (lattice(v0) = v9 & latt_str(v0) = v2 & join_commutative(v0) = v3 & % 58.51/8.66 | join_associative(v0) = v4 & meet_commutative(v0) = v5 & % 58.51/8.66 | meet_associative(v0) = v6 & meet_absorbing(v0) = v7 & % 58.51/8.66 | join_absorbing(v0) = v8 & ( ~ (v8 = 0) | ~ (v7 = 0) | ~ (v6 = 0) % 58.51/8.66 | | ~ (v5 = 0) | ~ (v4 = 0) | ~ (v3 = 0) | ~ (v2 = 0) | v9 = % 58.51/8.66 | 0))) % 58.51/8.66 | % 58.51/8.66 | ALPHA: (d8_filter_1) implies: % 58.51/8.66 | (13) ! [v0: $i] : ( ~ (latt_str(v0) = 0) | ~ $i(v0) | ? [v1: any] : ? % 58.51/8.66 | [v2: any] : ? [v3: $i] : ? [v4: $i] : (a_1_0_filter_1(v0) = v4 & % 58.51/8.66 | relation_of_lattice(v0) = v3 & lattice(v0) = v2 & % 58.51/8.66 | empty_carrier(v0) = v1 & $i(v4) & $i(v3) & ( ~ (v2 = 0) | v4 = v3 % 58.51/8.66 | | v1 = 0))) % 58.51/8.66 | (14) ! [v0: $i] : ( ~ (lattice(v0) = 0) | ~ $i(v0) | ? [v1: any] : ? % 58.51/8.66 | [v2: any] : ? [v3: $i] : ? [v4: $i] : (a_1_0_filter_1(v0) = v4 & % 58.51/8.66 | relation_of_lattice(v0) = v3 & latt_str(v0) = v2 & % 58.51/8.66 | empty_carrier(v0) = v1 & $i(v4) & $i(v3) & ( ~ (v2 = 0) | v4 = v3 % 58.51/8.67 | | v1 = 0))) % 58.51/8.67 | (15) ! [v0: $i] : ! [v1: $i] : ( ~ (relation_of_lattice(v0) = v1) | ~ % 58.51/8.67 | $i(v0) | ? [v2: any] : ? [v3: any] : ? [v4: any] : ? [v5: $i] : % 58.51/8.67 | (a_1_0_filter_1(v0) = v5 & lattice(v0) = v3 & latt_str(v0) = v4 & % 58.51/8.67 | empty_carrier(v0) = v2 & $i(v5) & ( ~ (v4 = 0) | ~ (v3 = 0) | v5 % 58.51/8.67 | = v1 | v2 = 0))) % 58.51/8.67 | (16) ! [v0: $i] : ! [v1: $i] : ( ~ (a_1_0_filter_1(v0) = v1) | ~ $i(v0) % 58.51/8.67 | | ? [v2: any] : ? [v3: any] : ? [v4: any] : ? [v5: $i] : % 58.51/8.67 | (relation_of_lattice(v0) = v5 & lattice(v0) = v3 & latt_str(v0) = v4 % 58.51/8.67 | & empty_carrier(v0) = v2 & $i(v5) & ( ~ (v4 = 0) | ~ (v3 = 0) | % 58.51/8.67 | v5 = v1 | v2 = 0))) % 58.51/8.67 | (17) ! [v0: $i] : ! [v1: int] : (v1 = 0 | ~ (empty_carrier(v0) = v1) | % 58.51/8.67 | ~ $i(v0) | ? [v2: any] : ? [v3: any] : ? [v4: $i] : ? [v5: $i] : % 58.51/8.67 | (a_1_0_filter_1(v0) = v5 & relation_of_lattice(v0) = v4 & % 58.51/8.67 | lattice(v0) = v2 & latt_str(v0) = v3 & $i(v5) & $i(v4) & ( ~ (v3 = % 58.51/8.67 | 0) | ~ (v2 = 0) | v5 = v4))) % 58.51/8.67 | % 58.51/8.67 | ALPHA: (dt_k9_filter_1) implies: % 58.51/8.67 | (18) ! [v0: $i] : ( ~ (latt_str(v0) = 0) | ~ $i(v0) | ? [v1: any] : ? % 58.51/8.67 | [v2: any] : ? [v3: $i] : ? [v4: any] : (relation(v3) = v4 & % 58.51/8.67 | relation_of_lattice(v0) = v3 & lattice(v0) = v2 & % 58.51/8.67 | empty_carrier(v0) = v1 & $i(v3) & ( ~ (v2 = 0) | v4 = 0 | v1 = % 58.51/8.67 | 0))) % 58.51/8.67 | (19) ! [v0: $i] : ( ~ (lattice(v0) = 0) | ~ $i(v0) | ? [v1: any] : ? % 58.51/8.67 | [v2: any] : ? [v3: $i] : ? [v4: any] : (relation(v3) = v4 & % 58.51/8.67 | relation_of_lattice(v0) = v3 & latt_str(v0) = v2 & % 58.51/8.67 | empty_carrier(v0) = v1 & $i(v3) & ( ~ (v2 = 0) | v4 = 0 | v1 = % 58.51/8.67 | 0))) % 58.51/8.67 | (20) ! [v0: $i] : ! [v1: $i] : ( ~ (relation_of_lattice(v0) = v1) | ~ % 58.51/8.67 | $i(v0) | ? [v2: any] : ? [v3: any] : ? [v4: any] : ? [v5: any] : % 58.51/8.67 | (relation(v1) = v5 & lattice(v0) = v3 & latt_str(v0) = v4 & % 58.51/8.67 | empty_carrier(v0) = v2 & ( ~ (v4 = 0) | ~ (v3 = 0) | v5 = 0 | v2 % 58.51/8.67 | = 0))) % 58.51/8.67 | (21) ! [v0: $i] : ! [v1: int] : (v1 = 0 | ~ (empty_carrier(v0) = v1) | % 58.51/8.67 | ~ $i(v0) | ? [v2: any] : ? [v3: any] : ? [v4: $i] : ? [v5: any] % 58.51/8.67 | : (relation(v4) = v5 & relation_of_lattice(v0) = v4 & lattice(v0) = % 58.51/8.67 | v2 & latt_str(v0) = v3 & $i(v4) & ( ~ (v3 = 0) | ~ (v2 = 0) | v5 % 58.51/8.67 | = 0))) % 58.51/8.67 | % 58.51/8.67 | ALPHA: (dt_l1_lattices) implies: % 58.51/8.67 | (22) ! [v0: $i] : ! [v1: int] : (v1 = 0 | ~ (one_sorted_str(v0) = v1) | % 58.51/8.67 | ~ $i(v0) | ? [v2: int] : ( ~ (v2 = 0) & meet_semilatt_str(v0) = % 58.51/8.67 | v2)) % 58.51/8.67 | % 58.51/8.67 | ALPHA: (dt_l2_lattices) implies: % 58.51/8.67 | (23) ! [v0: $i] : ( ~ (join_semilatt_str(v0) = 0) | ~ $i(v0) | % 58.51/8.67 | one_sorted_str(v0) = 0) % 58.51/8.67 | % 58.51/8.67 | ALPHA: (dt_l3_lattices) implies: % 58.51/8.67 | (24) ! [v0: $i] : ( ~ (latt_str(v0) = 0) | ~ $i(v0) | % 58.51/8.67 | (join_semilatt_str(v0) = 0 & meet_semilatt_str(v0) = 0)) % 58.51/8.67 | % 58.51/8.67 | ALPHA: (fc1_struct_0) implies: % 58.51/8.68 | (25) ! [v0: $i] : ( ~ (one_sorted_str(v0) = 0) | ~ $i(v0) | ? [v1: any] % 58.51/8.68 | : ? [v2: $i] : ? [v3: any] : (the_carrier(v0) = v2 & empty(v2) = % 58.51/8.68 | v3 & empty_carrier(v0) = v1 & $i(v2) & ( ~ (v3 = 0) | v1 = 0))) % 58.51/8.68 | (26) ! [v0: $i] : ! [v1: $i] : ( ~ (the_carrier(v0) = v1) | ~ $i(v0) | % 58.51/8.68 | ? [v2: any] : ? [v3: any] : ? [v4: any] : (one_sorted_str(v0) = v3 % 58.51/8.68 | & empty(v1) = v4 & empty_carrier(v0) = v2 & ( ~ (v4 = 0) | ~ (v3 % 58.51/8.68 | = 0) | v2 = 0))) % 58.51/8.68 | (27) ! [v0: $i] : ! [v1: int] : (v1 = 0 | ~ (empty_carrier(v0) = v1) | % 58.51/8.68 | ~ $i(v0) | ? [v2: any] : ? [v3: $i] : ? [v4: any] : % 58.51/8.68 | (the_carrier(v0) = v3 & one_sorted_str(v0) = v2 & empty(v3) = v4 & % 58.51/8.68 | $i(v3) & ( ~ (v4 = 0) | ~ (v2 = 0)))) % 58.51/8.68 | % 58.51/8.68 | ALPHA: (redefinition_r3_lattices) implies: % 58.51/8.68 | (28) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: any] : ( ~ % 58.51/8.68 | (below_refl(v0, v1, v2) = v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | % 58.51/8.68 | ? [v4: any] : ? [v5: any] : ? [v6: any] : ? [v7: any] : ? [v8: % 58.51/8.68 | any] : ? [v9: $i] : ? [v10: any] : ? [v11: any] : ? [v12: any] % 58.51/8.68 | : (below(v0, v1, v2) = v12 & the_carrier(v0) = v9 & element(v2, v9) % 58.51/8.68 | = v11 & element(v1, v9) = v10 & latt_str(v0) = v8 & % 58.51/8.68 | empty_carrier(v0) = v4 & meet_commutative(v0) = v5 & % 58.51/8.68 | meet_absorbing(v0) = v6 & join_absorbing(v0) = v7 & $i(v9) & ( ~ % 58.51/8.68 | (v11 = 0) | ~ (v10 = 0) | ~ (v8 = 0) | ~ (v7 = 0) | ~ (v6 = % 58.51/8.68 | 0) | ~ (v5 = 0) | v4 = 0 | (( ~ (v12 = 0) | v3 = 0) & ( ~ (v3 % 58.51/8.68 | = 0) | v12 = 0))))) % 58.51/8.68 | (29) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: any] : ( ~ % 58.51/8.68 | (below(v0, v1, v2) = v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ? % 58.51/8.68 | [v4: any] : ? [v5: any] : ? [v6: any] : ? [v7: any] : ? [v8: % 58.51/8.68 | any] : ? [v9: $i] : ? [v10: any] : ? [v11: any] : ? [v12: any] % 58.51/8.68 | : (below_refl(v0, v1, v2) = v12 & the_carrier(v0) = v9 & element(v2, % 58.51/8.68 | v9) = v11 & element(v1, v9) = v10 & latt_str(v0) = v8 & % 58.51/8.68 | empty_carrier(v0) = v4 & meet_commutative(v0) = v5 & % 58.51/8.68 | meet_absorbing(v0) = v6 & join_absorbing(v0) = v7 & $i(v9) & ( ~ % 58.51/8.68 | (v11 = 0) | ~ (v10 = 0) | ~ (v8 = 0) | ~ (v7 = 0) | ~ (v6 = % 58.51/8.68 | 0) | ~ (v5 = 0) | v4 = 0 | (( ~ (v12 = 0) | v3 = 0) & ( ~ (v3 % 58.51/8.68 | = 0) | v12 = 0))))) % 58.51/8.68 | % 58.51/8.68 | ALPHA: (reflexivity_r3_lattices) implies: % 58.51/8.68 | (30) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~ % 58.51/8.68 | (the_carrier(v0) = v3) | ~ (element(v2, v3) = 0) | ~ (element(v1, % 58.51/8.68 | v3) = 0) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v4: any] : ? % 58.51/8.68 | [v5: any] : ? [v6: any] : ? [v7: any] : ? [v8: any] : ? [v9: % 58.51/8.68 | any] : (below_refl(v0, v1, v1) = v9 & latt_str(v0) = v8 & % 58.51/8.68 | empty_carrier(v0) = v4 & meet_commutative(v0) = v5 & % 58.51/8.68 | meet_absorbing(v0) = v6 & join_absorbing(v0) = v7 & ( ~ (v8 = 0) | % 58.51/8.68 | ~ (v7 = 0) | ~ (v6 = 0) | ~ (v5 = 0) | v9 = 0 | v4 = 0))) % 58.51/8.68 | % 58.51/8.68 | ALPHA: (t2_subset) implies: % 58.51/8.68 | (31) ! [v0: $i] : ! [v1: $i] : ( ~ (element(v0, v1) = 0) | ~ $i(v1) | ~ % 58.51/8.68 | $i(v0) | ? [v2: any] : ? [v3: any] : (empty(v1) = v2 & in(v0, v1) % 58.51/8.68 | = v3 & (v3 = 0 | v2 = 0))) % 58.51/8.68 | % 58.51/8.68 | ALPHA: (t33_zfmisc_1) implies: % 58.51/8.68 | (32) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : % 58.51/8.68 | (v2 = v0 | ~ (ordered_pair(v2, v3) = v4) | ~ (ordered_pair(v0, v1) = % 58.51/8.68 | v4) | ~ $i(v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0)) % 58.51/8.69 | (33) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : % 58.51/8.69 | (v3 = v1 | ~ (ordered_pair(v2, v3) = v4) | ~ (ordered_pair(v0, v1) = % 58.51/8.69 | v4) | ~ $i(v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0)) % 58.51/8.69 | % 58.51/8.69 | ALPHA: (function-axioms) implies: % 58.51/8.69 | (34) ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] % 58.51/8.69 | : (v1 = v0 | ~ (join_absorbing(v2) = v1) | ~ (join_absorbing(v2) = % 58.51/8.69 | v0)) % 58.51/8.69 | (35) ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] % 58.51/8.69 | : (v1 = v0 | ~ (meet_absorbing(v2) = v1) | ~ (meet_absorbing(v2) = % 58.51/8.69 | v0)) % 58.51/8.69 | (36) ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] % 58.51/8.69 | : (v1 = v0 | ~ (meet_associative(v2) = v1) | ~ (meet_associative(v2) % 58.51/8.69 | = v0)) % 58.51/8.69 | (37) ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] % 58.51/8.69 | : (v1 = v0 | ~ (meet_commutative(v2) = v1) | ~ (meet_commutative(v2) % 58.51/8.69 | = v0)) % 58.51/8.69 | (38) ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] % 58.51/8.69 | : (v1 = v0 | ~ (join_associative(v2) = v1) | ~ (join_associative(v2) % 58.51/8.69 | = v0)) % 58.51/8.69 | (39) ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] % 58.51/8.69 | : (v1 = v0 | ~ (join_commutative(v2) = v1) | ~ (join_commutative(v2) % 58.51/8.69 | = v0)) % 58.51/8.69 | (40) ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] % 58.51/8.69 | : (v1 = v0 | ~ (empty_carrier(v2) = v1) | ~ (empty_carrier(v2) = % 58.51/8.69 | v0)) % 58.51/8.69 | (41) ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] % 58.51/8.69 | : (v1 = v0 | ~ (latt_str(v2) = v1) | ~ (latt_str(v2) = v0)) % 58.51/8.69 | (42) ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] % 58.51/8.69 | : (v1 = v0 | ~ (lattice(v2) = v1) | ~ (lattice(v2) = v0)) % 58.51/8.69 | (43) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ % 58.51/8.69 | (relation_of_lattice(v2) = v1) | ~ (relation_of_lattice(v2) = v0)) % 58.51/8.69 | (44) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ % 58.51/8.69 | (a_1_0_filter_1(v2) = v1) | ~ (a_1_0_filter_1(v2) = v0)) % 58.51/8.69 | (45) ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] % 58.51/8.69 | : (v1 = v0 | ~ (empty(v2) = v1) | ~ (empty(v2) = v0)) % 58.51/8.69 | (46) ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] % 58.51/8.69 | : (v1 = v0 | ~ (one_sorted_str(v2) = v1) | ~ (one_sorted_str(v2) = % 58.51/8.69 | v0)) % 58.51/8.69 | (47) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ % 58.51/8.69 | (the_carrier(v2) = v1) | ~ (the_carrier(v2) = v0)) % 58.51/8.69 | (48) ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] % 58.51/8.69 | : ! [v3: $i] : (v1 = v0 | ~ (element(v3, v2) = v1) | ~ (element(v3, % 58.51/8.69 | v2) = v0)) % 58.51/8.69 | (49) ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] % 58.51/8.69 | : ! [v3: $i] : ! [v4: $i] : (v1 = v0 | ~ (below_refl(v4, v3, v2) = % 58.51/8.69 | v1) | ~ (below_refl(v4, v3, v2) = v0)) % 58.51/8.69 | (50) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : % 58.51/8.69 | ! [v5: $i] : (v1 = v0 | ~ (ordered_pair_as_product_element(v5, v4, % 58.51/8.69 | v3, v2) = v1) | ~ (ordered_pair_as_product_element(v5, v4, v3, % 58.51/8.69 | v2) = v0)) % 58.51/8.69 | % 58.51/8.69 | DELTA: instantiating (existence_l1_struct_0) with fresh symbol all_33_0 gives: % 58.51/8.69 | (51) one_sorted_str(all_33_0) = 0 & $i(all_33_0) % 58.51/8.69 | % 58.51/8.69 | ALPHA: (51) implies: % 58.51/8.69 | (52) $i(all_33_0) % 58.51/8.69 | (53) one_sorted_str(all_33_0) = 0 % 58.51/8.69 | % 58.51/8.69 | DELTA: instantiating (existence_l3_lattices) with fresh symbol all_37_0 gives: % 58.51/8.69 | (54) latt_str(all_37_0) = 0 & $i(all_37_0) % 58.51/8.69 | % 58.51/8.70 | ALPHA: (54) implies: % 58.51/8.70 | (55) $i(all_37_0) % 58.51/8.70 | (56) latt_str(all_37_0) = 0 % 58.51/8.70 | % 58.51/8.70 | DELTA: instantiating (rc3_struct_0) with fresh symbols all_42_0, all_42_1 % 58.51/8.70 | gives: % 58.51/8.70 | (57) ~ (all_42_0 = 0) & one_sorted_str(all_42_1) = 0 & % 58.51/8.70 | empty_carrier(all_42_1) = all_42_0 & $i(all_42_1) % 58.51/8.70 | % 58.51/8.70 | ALPHA: (57) implies: % 58.51/8.70 | (58) ~ (all_42_0 = 0) % 58.51/8.70 | (59) $i(all_42_1) % 58.51/8.70 | (60) empty_carrier(all_42_1) = all_42_0 % 58.51/8.70 | % 58.51/8.70 | DELTA: instantiating (t32_filter_1) with fresh symbols all_45_0, all_45_1, % 58.51/8.70 | all_45_2, all_45_3, all_45_4, all_45_5, all_45_6, all_45_7, all_45_8 % 58.51/8.70 | gives: % 58.51/8.70 | (61) ~ (all_45_7 = 0) & below_refl(all_45_8, all_45_4, all_45_3) = % 58.51/8.70 | all_45_0 & the_carrier(all_45_8) = all_45_6 & % 58.51/8.70 | ordered_pair_as_product_element(all_45_6, all_45_6, all_45_4, % 58.51/8.70 | all_45_3) = all_45_2 & element(all_45_3, all_45_6) = 0 & % 58.51/8.70 | element(all_45_4, all_45_6) = 0 & relation_of_lattice(all_45_8) = % 58.51/8.70 | all_45_5 & lattice(all_45_8) = 0 & latt_str(all_45_8) = 0 & % 58.51/8.70 | empty_carrier(all_45_8) = all_45_7 & in(all_45_2, all_45_5) = all_45_1 % 58.51/8.70 | & $i(all_45_2) & $i(all_45_3) & $i(all_45_4) & $i(all_45_5) & % 58.51/8.70 | $i(all_45_6) & $i(all_45_8) & ((all_45_0 = 0 & ~ (all_45_1 = 0)) | % 58.51/8.70 | (all_45_1 = 0 & ~ (all_45_0 = 0))) % 58.51/8.70 | % 58.51/8.70 | ALPHA: (61) implies: % 58.51/8.70 | (62) ~ (all_45_7 = 0) % 58.51/8.70 | (63) $i(all_45_8) % 58.51/8.70 | (64) $i(all_45_6) % 58.51/8.70 | (65) $i(all_45_4) % 58.51/8.70 | (66) $i(all_45_3) % 58.51/8.70 | (67) $i(all_45_2) % 58.51/8.70 | (68) in(all_45_2, all_45_5) = all_45_1 % 58.51/8.70 | (69) empty_carrier(all_45_8) = all_45_7 % 58.51/8.70 | (70) latt_str(all_45_8) = 0 % 58.51/8.70 | (71) lattice(all_45_8) = 0 % 58.51/8.70 | (72) relation_of_lattice(all_45_8) = all_45_5 % 58.51/8.70 | (73) element(all_45_4, all_45_6) = 0 % 58.72/8.70 | (74) element(all_45_3, all_45_6) = 0 % 58.72/8.70 | (75) ordered_pair_as_product_element(all_45_6, all_45_6, all_45_4, % 58.72/8.70 | all_45_3) = all_45_2 % 58.72/8.70 | (76) the_carrier(all_45_8) = all_45_6 % 58.72/8.70 | (77) below_refl(all_45_8, all_45_4, all_45_3) = all_45_0 % 58.72/8.70 | (78) (all_45_0 = 0 & ~ (all_45_1 = 0)) | (all_45_1 = 0 & ~ (all_45_0 = % 58.72/8.70 | 0)) % 58.72/8.70 | % 58.72/8.70 | GROUND_INST: instantiating (12) with all_42_1, all_42_0, simplifying with % 58.72/8.70 | (59), (60) gives: % 58.72/8.70 | (79) all_42_0 = 0 | ? [v0: any] : ? [v1: any] : ? [v2: any] : ? [v3: % 58.72/8.70 | any] : ? [v4: any] : ? [v5: any] : ? [v6: any] : ? [v7: any] : % 58.72/8.70 | (lattice(all_42_1) = v7 & latt_str(all_42_1) = v0 & % 58.72/8.70 | join_commutative(all_42_1) = v1 & join_associative(all_42_1) = v2 & % 58.72/8.70 | meet_commutative(all_42_1) = v3 & meet_associative(all_42_1) = v4 & % 58.72/8.70 | meet_absorbing(all_42_1) = v5 & join_absorbing(all_42_1) = v6 & ( ~ % 58.72/8.70 | (v6 = 0) | ~ (v5 = 0) | ~ (v4 = 0) | ~ (v3 = 0) | ~ (v2 = 0) | % 58.72/8.70 | ~ (v1 = 0) | ~ (v0 = 0) | v7 = 0)) % 58.72/8.70 | % 58.72/8.70 | GROUND_INST: instantiating (9) with all_42_1, all_42_0, simplifying with (59), % 58.72/8.70 | (60) gives: % 58.72/8.70 | (80) all_42_0 = 0 | ? [v0: any] : ? [v1: any] : ? [v2: any] : ? [v3: % 58.72/8.70 | any] : ? [v4: any] : ? [v5: any] : ? [v6: any] : ? [v7: any] : % 58.72/8.70 | (lattice(all_42_1) = v1 & latt_str(all_42_1) = v0 & % 58.72/8.70 | join_commutative(all_42_1) = v2 & join_associative(all_42_1) = v3 & % 58.72/8.70 | meet_commutative(all_42_1) = v4 & meet_associative(all_42_1) = v5 & % 58.72/8.70 | meet_absorbing(all_42_1) = v6 & join_absorbing(all_42_1) = v7 & ( ~ % 58.72/8.70 | (v1 = 0) | ~ (v0 = 0) | (v7 = 0 & v6 = 0 & v5 = 0 & v4 = 0 & v3 = % 58.72/8.70 | 0 & v2 = 0))) % 58.72/8.70 | % 58.72/8.70 | GROUND_INST: instantiating (21) with all_42_1, all_42_0, simplifying with % 58.72/8.70 | (59), (60) gives: % 58.72/8.70 | (81) all_42_0 = 0 | ? [v0: any] : ? [v1: any] : ? [v2: $i] : ? [v3: % 58.72/8.70 | any] : (relation(v2) = v3 & relation_of_lattice(all_42_1) = v2 & % 58.72/8.70 | lattice(all_42_1) = v0 & latt_str(all_42_1) = v1 & $i(v2) & ( ~ (v1 % 58.72/8.70 | = 0) | ~ (v0 = 0) | v3 = 0)) % 58.72/8.70 | % 58.72/8.70 | GROUND_INST: instantiating (17) with all_42_1, all_42_0, simplifying with % 58.72/8.70 | (59), (60) gives: % 58.72/8.70 | (82) all_42_0 = 0 | ? [v0: any] : ? [v1: any] : ? [v2: $i] : ? [v3: $i] % 58.72/8.70 | : (a_1_0_filter_1(all_42_1) = v3 & relation_of_lattice(all_42_1) = v2 % 58.72/8.70 | & lattice(all_42_1) = v0 & latt_str(all_42_1) = v1 & $i(v3) & $i(v2) % 58.72/8.70 | & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2)) % 58.72/8.70 | % 58.72/8.71 | GROUND_INST: instantiating (21) with all_45_8, all_45_7, simplifying with % 58.72/8.71 | (63), (69) gives: % 58.72/8.71 | (83) all_45_7 = 0 | ? [v0: any] : ? [v1: any] : ? [v2: $i] : ? [v3: % 58.72/8.71 | any] : (relation(v2) = v3 & relation_of_lattice(all_45_8) = v2 & % 58.72/8.71 | lattice(all_45_8) = v0 & latt_str(all_45_8) = v1 & $i(v2) & ( ~ (v1 % 58.72/8.71 | = 0) | ~ (v0 = 0) | v3 = 0)) % 58.72/8.71 | % 58.72/8.71 | GROUND_INST: instantiating (17) with all_45_8, all_45_7, simplifying with % 58.72/8.71 | (63), (69) gives: % 58.72/8.71 | (84) all_45_7 = 0 | ? [v0: any] : ? [v1: any] : ? [v2: $i] : ? [v3: $i] % 58.72/8.71 | : (a_1_0_filter_1(all_45_8) = v3 & relation_of_lattice(all_45_8) = v2 % 58.72/8.71 | & lattice(all_45_8) = v0 & latt_str(all_45_8) = v1 & $i(v3) & $i(v2) % 58.72/8.71 | & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2)) % 58.72/8.71 | % 58.72/8.71 | GROUND_INST: instantiating (27) with all_45_8, all_45_7, simplifying with % 58.72/8.71 | (63), (69) gives: % 58.72/8.71 | (85) all_45_7 = 0 | ? [v0: any] : ? [v1: $i] : ? [v2: any] : % 58.72/8.71 | (the_carrier(all_45_8) = v1 & one_sorted_str(all_45_8) = v0 & % 58.72/8.71 | empty(v1) = v2 & $i(v1) & ( ~ (v2 = 0) | ~ (v0 = 0))) % 58.72/8.71 | % 58.72/8.71 | GROUND_INST: instantiating (10) with all_37_0, simplifying with (55), (56) % 58.72/8.71 | gives: % 58.72/8.71 | (86) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? [v3: any] : ? [v4: % 58.72/8.71 | any] : ? [v5: any] : ? [v6: any] : ? [v7: any] : % 58.72/8.71 | (lattice(all_37_0) = v7 & empty_carrier(all_37_0) = v0 & % 58.72/8.71 | join_commutative(all_37_0) = v1 & join_associative(all_37_0) = v2 & % 58.72/8.71 | meet_commutative(all_37_0) = v3 & meet_associative(all_37_0) = v4 & % 58.72/8.71 | meet_absorbing(all_37_0) = v5 & join_absorbing(all_37_0) = v6 & ( ~ % 58.72/8.71 | (v6 = 0) | ~ (v5 = 0) | ~ (v4 = 0) | ~ (v3 = 0) | ~ (v2 = 0) | % 58.72/8.71 | ~ (v1 = 0) | v7 = 0 | v0 = 0)) % 58.72/8.71 | % 58.72/8.71 | GROUND_INST: instantiating (1) with all_37_0, simplifying with (55), (56) % 58.72/8.71 | gives: % 58.72/8.71 | (87) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? [v3: any] : ? [v4: % 58.72/8.71 | any] : ? [v5: any] : ? [v6: any] : ? [v7: any] : % 58.72/8.71 | (lattice(all_37_0) = v1 & empty_carrier(all_37_0) = v0 & % 58.72/8.71 | join_commutative(all_37_0) = v2 & join_associative(all_37_0) = v3 & % 58.72/8.71 | meet_commutative(all_37_0) = v4 & meet_associative(all_37_0) = v5 & % 58.72/8.71 | meet_absorbing(all_37_0) = v6 & join_absorbing(all_37_0) = v7 & ( ~ % 58.72/8.71 | (v1 = 0) | v0 = 0 | (v7 = 0 & v6 = 0 & v5 = 0 & v4 = 0 & v3 = 0 & % 58.72/8.71 | v2 = 0))) % 58.72/8.71 | % 58.72/8.71 | GROUND_INST: instantiating (18) with all_37_0, simplifying with (55), (56) % 58.72/8.71 | gives: % 58.72/8.71 | (88) ? [v0: any] : ? [v1: any] : ? [v2: $i] : ? [v3: any] : % 58.72/8.71 | (relation(v2) = v3 & relation_of_lattice(all_37_0) = v2 & % 58.72/8.71 | lattice(all_37_0) = v1 & empty_carrier(all_37_0) = v0 & $i(v2) & ( ~ % 58.72/8.71 | (v1 = 0) | v3 = 0 | v0 = 0)) % 58.72/8.71 | % 58.72/8.71 | GROUND_INST: instantiating (13) with all_37_0, simplifying with (55), (56) % 58.72/8.71 | gives: % 58.72/8.71 | (89) ? [v0: any] : ? [v1: any] : ? [v2: $i] : ? [v3: $i] : % 58.72/8.71 | (a_1_0_filter_1(all_37_0) = v3 & relation_of_lattice(all_37_0) = v2 & % 58.72/8.71 | lattice(all_37_0) = v1 & empty_carrier(all_37_0) = v0 & $i(v3) & % 58.72/8.71 | $i(v2) & ( ~ (v1 = 0) | v3 = v2 | v0 = 0)) % 58.72/8.71 | % 58.72/8.71 | GROUND_INST: instantiating (24) with all_37_0, simplifying with (55), (56) % 58.72/8.71 | gives: % 58.72/8.71 | (90) join_semilatt_str(all_37_0) = 0 & meet_semilatt_str(all_37_0) = 0 % 58.72/8.71 | % 58.72/8.71 | ALPHA: (90) implies: % 58.72/8.71 | (91) join_semilatt_str(all_37_0) = 0 % 58.72/8.71 | % 58.72/8.71 | GROUND_INST: instantiating (10) with all_45_8, simplifying with (63), (70) % 58.72/8.71 | gives: % 58.72/8.71 | (92) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? [v3: any] : ? [v4: % 58.72/8.71 | any] : ? [v5: any] : ? [v6: any] : ? [v7: any] : % 58.72/8.71 | (lattice(all_45_8) = v7 & empty_carrier(all_45_8) = v0 & % 58.72/8.71 | join_commutative(all_45_8) = v1 & join_associative(all_45_8) = v2 & % 58.72/8.71 | meet_commutative(all_45_8) = v3 & meet_associative(all_45_8) = v4 & % 58.72/8.71 | meet_absorbing(all_45_8) = v5 & join_absorbing(all_45_8) = v6 & ( ~ % 58.72/8.71 | (v6 = 0) | ~ (v5 = 0) | ~ (v4 = 0) | ~ (v3 = 0) | ~ (v2 = 0) | % 58.72/8.71 | ~ (v1 = 0) | v7 = 0 | v0 = 0)) % 58.72/8.71 | % 58.72/8.71 | GROUND_INST: instantiating (1) with all_45_8, simplifying with (63), (70) % 58.72/8.71 | gives: % 58.72/8.71 | (93) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? [v3: any] : ? [v4: % 58.72/8.71 | any] : ? [v5: any] : ? [v6: any] : ? [v7: any] : % 58.72/8.71 | (lattice(all_45_8) = v1 & empty_carrier(all_45_8) = v0 & % 58.72/8.71 | join_commutative(all_45_8) = v2 & join_associative(all_45_8) = v3 & % 58.72/8.71 | meet_commutative(all_45_8) = v4 & meet_associative(all_45_8) = v5 & % 58.72/8.71 | meet_absorbing(all_45_8) = v6 & join_absorbing(all_45_8) = v7 & ( ~ % 58.72/8.71 | (v1 = 0) | v0 = 0 | (v7 = 0 & v6 = 0 & v5 = 0 & v4 = 0 & v3 = 0 & % 58.72/8.71 | v2 = 0))) % 58.72/8.71 | % 58.72/8.71 | GROUND_INST: instantiating (18) with all_45_8, simplifying with (63), (70) % 58.72/8.71 | gives: % 58.72/8.71 | (94) ? [v0: any] : ? [v1: any] : ? [v2: $i] : ? [v3: any] : % 58.72/8.71 | (relation(v2) = v3 & relation_of_lattice(all_45_8) = v2 & % 58.72/8.71 | lattice(all_45_8) = v1 & empty_carrier(all_45_8) = v0 & $i(v2) & ( ~ % 58.72/8.71 | (v1 = 0) | v3 = 0 | v0 = 0)) % 58.72/8.71 | % 58.72/8.71 | GROUND_INST: instantiating (13) with all_45_8, simplifying with (63), (70) % 58.72/8.71 | gives: % 58.72/8.72 | (95) ? [v0: any] : ? [v1: any] : ? [v2: $i] : ? [v3: $i] : % 58.72/8.72 | (a_1_0_filter_1(all_45_8) = v3 & relation_of_lattice(all_45_8) = v2 & % 58.72/8.72 | lattice(all_45_8) = v1 & empty_carrier(all_45_8) = v0 & $i(v3) & % 58.72/8.72 | $i(v2) & ( ~ (v1 = 0) | v3 = v2 | v0 = 0)) % 58.72/8.72 | % 58.72/8.72 | GROUND_INST: instantiating (24) with all_45_8, simplifying with (63), (70) % 58.72/8.72 | gives: % 58.72/8.72 | (96) join_semilatt_str(all_45_8) = 0 & meet_semilatt_str(all_45_8) = 0 % 58.72/8.72 | % 58.72/8.72 | ALPHA: (96) implies: % 58.72/8.72 | (97) join_semilatt_str(all_45_8) = 0 % 58.72/8.72 | % 58.72/8.72 | GROUND_INST: instantiating (2) with all_45_8, simplifying with (63), (71) % 58.72/8.72 | gives: % 58.72/8.72 | (98) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? [v3: any] : ? [v4: % 58.72/8.72 | any] : ? [v5: any] : ? [v6: any] : ? [v7: any] : % 58.72/8.72 | (latt_str(all_45_8) = v0 & empty_carrier(all_45_8) = v1 & % 58.72/8.72 | join_commutative(all_45_8) = v2 & join_associative(all_45_8) = v3 & % 58.72/8.72 | meet_commutative(all_45_8) = v4 & meet_associative(all_45_8) = v5 & % 58.72/8.72 | meet_absorbing(all_45_8) = v6 & join_absorbing(all_45_8) = v7 & ( ~ % 58.72/8.72 | (v0 = 0) | v1 = 0 | (v7 = 0 & v6 = 0 & v5 = 0 & v4 = 0 & v3 = 0 & % 58.72/8.72 | v2 = 0))) % 58.72/8.72 | % 58.72/8.72 | GROUND_INST: instantiating (19) with all_45_8, simplifying with (63), (71) % 58.72/8.72 | gives: % 58.72/8.72 | (99) ? [v0: any] : ? [v1: any] : ? [v2: $i] : ? [v3: any] : % 58.72/8.72 | (relation(v2) = v3 & relation_of_lattice(all_45_8) = v2 & % 58.72/8.72 | latt_str(all_45_8) = v1 & empty_carrier(all_45_8) = v0 & $i(v2) & ( % 58.72/8.72 | ~ (v1 = 0) | v3 = 0 | v0 = 0)) % 58.72/8.72 | % 58.72/8.72 | GROUND_INST: instantiating (14) with all_45_8, simplifying with (63), (71) % 58.72/8.72 | gives: % 58.72/8.72 | (100) ? [v0: any] : ? [v1: any] : ? [v2: $i] : ? [v3: $i] : % 58.72/8.72 | (a_1_0_filter_1(all_45_8) = v3 & relation_of_lattice(all_45_8) = v2 & % 58.72/8.72 | latt_str(all_45_8) = v1 & empty_carrier(all_45_8) = v0 & $i(v3) & % 58.72/8.72 | $i(v2) & ( ~ (v1 = 0) | v3 = v2 | v0 = 0)) % 58.72/8.72 | % 58.72/8.72 | GROUND_INST: instantiating (11) with all_45_8, 0, simplifying with (63), (71) % 58.72/8.72 | gives: % 58.72/8.72 | (101) ? [v0: MultipleValueBool] : ? [v1: MultipleValueBool] : ? [v2: % 58.72/8.72 | MultipleValueBool] : ? [v3: MultipleValueBool] : ? [v4: % 58.72/8.72 | MultipleValueBool] : ? [v5: MultipleValueBool] : ? [v6: % 58.72/8.72 | MultipleValueBool] : ? [v7: MultipleValueBool] : % 58.72/8.72 | (latt_str(all_45_8) = v0 & empty_carrier(all_45_8) = v1 & % 58.72/8.72 | join_commutative(all_45_8) = v2 & join_associative(all_45_8) = v3 & % 58.72/8.72 | meet_commutative(all_45_8) = v4 & meet_associative(all_45_8) = v5 & % 58.72/8.72 | meet_absorbing(all_45_8) = v6 & join_absorbing(all_45_8) = v7) % 58.72/8.72 | % 58.72/8.72 | GROUND_INST: instantiating (20) with all_45_8, all_45_5, simplifying with % 58.72/8.72 | (63), (72) gives: % 58.72/8.72 | (102) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? [v3: any] : % 58.72/8.72 | (relation(all_45_5) = v3 & lattice(all_45_8) = v1 & % 58.72/8.72 | latt_str(all_45_8) = v2 & empty_carrier(all_45_8) = v0 & ( ~ (v2 = % 58.72/8.72 | 0) | ~ (v1 = 0) | v3 = 0 | v0 = 0)) % 58.72/8.72 | % 58.72/8.72 | GROUND_INST: instantiating (15) with all_45_8, all_45_5, simplifying with % 58.72/8.72 | (63), (72) gives: % 58.72/8.72 | (103) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? [v3: $i] : % 58.72/8.72 | (a_1_0_filter_1(all_45_8) = v3 & lattice(all_45_8) = v1 & % 58.72/8.72 | latt_str(all_45_8) = v2 & empty_carrier(all_45_8) = v0 & $i(v3) & ( % 58.72/8.72 | ~ (v2 = 0) | ~ (v1 = 0) | v3 = all_45_5 | v0 = 0)) % 58.72/8.72 | % 58.72/8.72 | GROUND_INST: instantiating (31) with all_45_4, all_45_6, simplifying with % 58.72/8.72 | (64), (65), (73) gives: % 58.72/8.72 | (104) ? [v0: any] : ? [v1: any] : (empty(all_45_6) = v0 & in(all_45_4, % 58.72/8.72 | all_45_6) = v1 & (v1 = 0 | v0 = 0)) % 58.72/8.72 | % 58.72/8.72 | GROUND_INST: instantiating (31) with all_45_3, all_45_6, simplifying with % 58.72/8.72 | (64), (66), (74) gives: % 58.72/8.72 | (105) ? [v0: any] : ? [v1: any] : (empty(all_45_6) = v0 & in(all_45_3, % 58.72/8.72 | all_45_6) = v1 & (v1 = 0 | v0 = 0)) % 58.72/8.72 | % 58.72/8.72 | GROUND_INST: instantiating (dt_k1_domain_1) with all_45_6, all_45_6, all_45_4, % 58.72/8.72 | all_45_3, all_45_2, simplifying with (64), (65), (66), (75) % 58.72/8.72 | gives: % 58.72/8.72 | (106) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? [v3: any] : ? [v4: % 58.72/8.72 | $i] : ? [v5: any] : (empty(all_45_6) = v1 & empty(all_45_6) = v0 & % 58.72/8.72 | cartesian_product2(all_45_6, all_45_6) = v4 & element(all_45_2, v4) % 58.72/8.72 | = v5 & element(all_45_3, all_45_6) = v3 & element(all_45_4, % 58.72/8.72 | all_45_6) = v2 & $i(v4) & ( ~ (v3 = 0) | ~ (v2 = 0) | v5 = 0 | % 58.72/8.72 | v1 = 0 | v0 = 0)) % 58.72/8.72 | % 58.72/8.72 | GROUND_INST: instantiating (redefinition_k1_domain_1) with all_45_6, all_45_6, % 58.72/8.72 | all_45_4, all_45_3, all_45_2, simplifying with (64), (65), (66), % 58.72/8.72 | (75) gives: % 58.72/8.72 | (107) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? [v3: any] : ? [v4: % 58.72/8.72 | $i] : (empty(all_45_6) = v1 & empty(all_45_6) = v0 & % 58.72/8.72 | element(all_45_3, all_45_6) = v3 & element(all_45_4, all_45_6) = v2 % 58.72/8.72 | & ordered_pair(all_45_4, all_45_3) = v4 & $i(v4) & ( ~ (v3 = 0) | % 58.72/8.72 | ~ (v2 = 0) | v4 = all_45_2 | v1 = 0 | v0 = 0)) % 58.72/8.72 | % 58.72/8.72 | GROUND_INST: instantiating (25) with all_33_0, simplifying with (52), (53) % 58.72/8.72 | gives: % 58.72/8.72 | (108) ? [v0: any] : ? [v1: $i] : ? [v2: any] : (the_carrier(all_33_0) = % 58.72/8.72 | v1 & empty(v1) = v2 & empty_carrier(all_33_0) = v0 & $i(v1) & ( ~ % 58.72/8.72 | (v2 = 0) | v0 = 0)) % 58.72/8.72 | % 58.72/8.72 | GROUND_INST: instantiating (30) with all_45_8, all_45_3, all_45_4, all_45_6, % 58.72/8.72 | simplifying with (63), (65), (66), (73), (74), (76) gives: % 58.72/8.73 | (109) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? [v3: any] : ? [v4: % 58.72/8.73 | any] : ? [v5: any] : (below_refl(all_45_8, all_45_3, all_45_3) = % 58.72/8.73 | v5 & latt_str(all_45_8) = v4 & empty_carrier(all_45_8) = v0 & % 58.72/8.73 | meet_commutative(all_45_8) = v1 & meet_absorbing(all_45_8) = v2 & % 58.72/8.73 | join_absorbing(all_45_8) = v3 & ( ~ (v4 = 0) | ~ (v3 = 0) | ~ (v2 % 58.72/8.73 | = 0) | ~ (v1 = 0) | v5 = 0 | v0 = 0)) % 58.72/8.73 | % 58.72/8.73 | GROUND_INST: instantiating (30) with all_45_8, all_45_4, all_45_4, all_45_6, % 58.72/8.73 | simplifying with (63), (65), (73), (76) gives: % 58.72/8.73 | (110) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? [v3: any] : ? [v4: % 58.72/8.73 | any] : ? [v5: any] : (below_refl(all_45_8, all_45_4, all_45_4) = % 58.72/8.73 | v5 & latt_str(all_45_8) = v4 & empty_carrier(all_45_8) = v0 & % 58.72/8.73 | meet_commutative(all_45_8) = v1 & meet_absorbing(all_45_8) = v2 & % 58.72/8.73 | join_absorbing(all_45_8) = v3 & ( ~ (v4 = 0) | ~ (v3 = 0) | ~ (v2 % 58.72/8.73 | = 0) | ~ (v1 = 0) | v5 = 0 | v0 = 0)) % 58.72/8.73 | % 58.72/8.73 | GROUND_INST: instantiating (26) with all_45_8, all_45_6, simplifying with % 58.72/8.73 | (63), (76) gives: % 58.72/8.73 | (111) ? [v0: any] : ? [v1: any] : ? [v2: any] : % 58.72/8.73 | (one_sorted_str(all_45_8) = v1 & empty(all_45_6) = v2 & % 58.72/8.73 | empty_carrier(all_45_8) = v0 & ( ~ (v2 = 0) | ~ (v1 = 0) | v0 = % 58.72/8.73 | 0)) % 58.72/8.73 | % 58.72/8.73 | GROUND_INST: instantiating (28) with all_45_8, all_45_4, all_45_3, all_45_0, % 58.72/8.73 | simplifying with (63), (65), (66), (77) gives: % 58.72/8.73 | (112) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? [v3: any] : ? [v4: % 58.72/8.73 | any] : ? [v5: $i] : ? [v6: any] : ? [v7: any] : ? [v8: any] : % 58.72/8.73 | (below(all_45_8, all_45_4, all_45_3) = v8 & the_carrier(all_45_8) = % 58.72/8.73 | v5 & element(all_45_3, v5) = v7 & element(all_45_4, v5) = v6 & % 58.72/8.73 | latt_str(all_45_8) = v4 & empty_carrier(all_45_8) = v0 & % 58.72/8.73 | meet_commutative(all_45_8) = v1 & meet_absorbing(all_45_8) = v2 & % 58.72/8.73 | join_absorbing(all_45_8) = v3 & $i(v5) & ( ~ (v7 = 0) | ~ (v6 = 0) % 58.72/8.73 | | ~ (v4 = 0) | ~ (v3 = 0) | ~ (v2 = 0) | ~ (v1 = 0) | v0 = 0 % 58.72/8.73 | | (( ~ (v8 = 0) | all_45_0 = 0) & ( ~ (all_45_0 = 0) | v8 = 0)))) % 58.72/8.73 | % 58.72/8.73 | DELTA: instantiating (104) with fresh symbols all_55_0, all_55_1 gives: % 58.72/8.73 | (113) empty(all_45_6) = all_55_1 & in(all_45_4, all_45_6) = all_55_0 & % 58.72/8.73 | (all_55_0 = 0 | all_55_1 = 0) % 58.72/8.73 | % 58.72/8.73 | ALPHA: (113) implies: % 58.72/8.73 | (114) empty(all_45_6) = all_55_1 % 58.72/8.73 | % 58.72/8.73 | DELTA: instantiating (105) with fresh symbols all_59_0, all_59_1 gives: % 58.72/8.73 | (115) empty(all_45_6) = all_59_1 & in(all_45_3, all_45_6) = all_59_0 & % 58.72/8.73 | (all_59_0 = 0 | all_59_1 = 0) % 58.72/8.73 | % 58.72/8.73 | ALPHA: (115) implies: % 58.72/8.73 | (116) empty(all_45_6) = all_59_1 % 58.72/8.73 | % 58.72/8.73 | DELTA: instantiating (111) with fresh symbols all_63_0, all_63_1, all_63_2 % 58.72/8.73 | gives: % 58.72/8.73 | (117) one_sorted_str(all_45_8) = all_63_1 & empty(all_45_6) = all_63_0 & % 58.72/8.73 | empty_carrier(all_45_8) = all_63_2 & ( ~ (all_63_0 = 0) | ~ % 58.72/8.73 | (all_63_1 = 0) | all_63_2 = 0) % 58.72/8.73 | % 58.72/8.73 | ALPHA: (117) implies: % 58.72/8.73 | (118) empty_carrier(all_45_8) = all_63_2 % 58.72/8.73 | (119) empty(all_45_6) = all_63_0 % 58.72/8.73 | (120) one_sorted_str(all_45_8) = all_63_1 % 58.72/8.73 | % 58.72/8.73 | DELTA: instantiating (108) with fresh symbols all_65_0, all_65_1, all_65_2 % 58.72/8.73 | gives: % 58.72/8.73 | (121) the_carrier(all_33_0) = all_65_1 & empty(all_65_1) = all_65_0 & % 58.72/8.73 | empty_carrier(all_33_0) = all_65_2 & $i(all_65_1) & ( ~ (all_65_0 = % 58.72/8.73 | 0) | all_65_2 = 0) % 58.72/8.73 | % 58.72/8.73 | ALPHA: (121) implies: % 58.72/8.73 | (122) empty_carrier(all_33_0) = all_65_2 % 58.72/8.73 | % 58.72/8.73 | DELTA: instantiating (102) with fresh symbols all_67_0, all_67_1, all_67_2, % 58.72/8.73 | all_67_3 gives: % 58.72/8.73 | (123) relation(all_45_5) = all_67_0 & lattice(all_45_8) = all_67_2 & % 58.72/8.73 | latt_str(all_45_8) = all_67_1 & empty_carrier(all_45_8) = all_67_3 & % 58.72/8.73 | ( ~ (all_67_1 = 0) | ~ (all_67_2 = 0) | all_67_0 = 0 | all_67_3 = 0) % 58.72/8.73 | % 58.72/8.73 | ALPHA: (123) implies: % 58.72/8.73 | (124) empty_carrier(all_45_8) = all_67_3 % 58.72/8.73 | (125) latt_str(all_45_8) = all_67_1 % 58.72/8.73 | (126) lattice(all_45_8) = all_67_2 % 58.72/8.73 | % 58.72/8.73 | DELTA: instantiating (101) with fresh symbols all_69_0, all_69_1, all_69_2, % 58.72/8.73 | all_69_3, all_69_4, all_69_5, all_69_6, all_69_7 gives: % 58.72/8.73 | (127) latt_str(all_45_8) = all_69_7 & empty_carrier(all_45_8) = all_69_6 & % 58.72/8.73 | join_commutative(all_45_8) = all_69_5 & join_associative(all_45_8) = % 58.72/8.73 | all_69_4 & meet_commutative(all_45_8) = all_69_3 & % 58.72/8.73 | meet_associative(all_45_8) = all_69_2 & meet_absorbing(all_45_8) = % 58.72/8.73 | all_69_1 & join_absorbing(all_45_8) = all_69_0 % 58.72/8.73 | % 58.72/8.73 | ALPHA: (127) implies: % 58.72/8.73 | (128) join_absorbing(all_45_8) = all_69_0 % 58.72/8.73 | (129) meet_absorbing(all_45_8) = all_69_1 % 58.72/8.73 | (130) meet_commutative(all_45_8) = all_69_3 % 58.72/8.73 | (131) empty_carrier(all_45_8) = all_69_6 % 58.72/8.73 | (132) latt_str(all_45_8) = all_69_7 % 58.72/8.73 | % 58.72/8.73 | DELTA: instantiating (94) with fresh symbols all_71_0, all_71_1, all_71_2, % 58.72/8.73 | all_71_3 gives: % 58.72/8.73 | (133) relation(all_71_1) = all_71_0 & relation_of_lattice(all_45_8) = % 58.72/8.73 | all_71_1 & lattice(all_45_8) = all_71_2 & empty_carrier(all_45_8) = % 58.72/8.73 | all_71_3 & $i(all_71_1) & ( ~ (all_71_2 = 0) | all_71_0 = 0 | % 58.72/8.73 | all_71_3 = 0) % 58.72/8.73 | % 58.72/8.73 | ALPHA: (133) implies: % 58.72/8.73 | (134) empty_carrier(all_45_8) = all_71_3 % 58.72/8.73 | (135) lattice(all_45_8) = all_71_2 % 58.72/8.73 | % 58.72/8.73 | DELTA: instantiating (99) with fresh symbols all_73_0, all_73_1, all_73_2, % 58.72/8.73 | all_73_3 gives: % 58.72/8.73 | (136) relation(all_73_1) = all_73_0 & relation_of_lattice(all_45_8) = % 58.72/8.73 | all_73_1 & latt_str(all_45_8) = all_73_2 & empty_carrier(all_45_8) = % 58.72/8.73 | all_73_3 & $i(all_73_1) & ( ~ (all_73_2 = 0) | all_73_0 = 0 | % 58.72/8.73 | all_73_3 = 0) % 58.72/8.73 | % 58.72/8.73 | ALPHA: (136) implies: % 58.72/8.73 | (137) empty_carrier(all_45_8) = all_73_3 % 58.72/8.73 | (138) latt_str(all_45_8) = all_73_2 % 58.72/8.73 | % 58.72/8.73 | DELTA: instantiating (88) with fresh symbols all_75_0, all_75_1, all_75_2, % 58.72/8.73 | all_75_3 gives: % 58.72/8.73 | (139) relation(all_75_1) = all_75_0 & relation_of_lattice(all_37_0) = % 58.72/8.73 | all_75_1 & lattice(all_37_0) = all_75_2 & empty_carrier(all_37_0) = % 58.72/8.73 | all_75_3 & $i(all_75_1) & ( ~ (all_75_2 = 0) | all_75_0 = 0 | % 58.72/8.73 | all_75_3 = 0) % 58.72/8.73 | % 58.72/8.73 | ALPHA: (139) implies: % 58.72/8.74 | (140) empty_carrier(all_37_0) = all_75_3 % 58.72/8.74 | (141) lattice(all_37_0) = all_75_2 % 58.72/8.74 | (142) relation_of_lattice(all_37_0) = all_75_1 % 58.72/8.74 | (143) ~ (all_75_2 = 0) | all_75_0 = 0 | all_75_3 = 0 % 58.72/8.74 | % 58.72/8.74 | DELTA: instantiating (103) with fresh symbols all_77_0, all_77_1, all_77_2, % 58.72/8.74 | all_77_3 gives: % 58.72/8.74 | (144) a_1_0_filter_1(all_45_8) = all_77_0 & lattice(all_45_8) = all_77_2 & % 58.72/8.74 | latt_str(all_45_8) = all_77_1 & empty_carrier(all_45_8) = all_77_3 & % 58.72/8.74 | $i(all_77_0) & ( ~ (all_77_1 = 0) | ~ (all_77_2 = 0) | all_77_0 = % 58.72/8.74 | all_45_5 | all_77_3 = 0) % 58.72/8.74 | % 58.72/8.74 | ALPHA: (144) implies: % 58.72/8.74 | (145) empty_carrier(all_45_8) = all_77_3 % 58.72/8.74 | (146) latt_str(all_45_8) = all_77_1 % 58.72/8.74 | (147) lattice(all_45_8) = all_77_2 % 58.72/8.74 | (148) a_1_0_filter_1(all_45_8) = all_77_0 % 58.72/8.74 | % 58.72/8.74 | DELTA: instantiating (95) with fresh symbols all_79_0, all_79_1, all_79_2, % 58.72/8.74 | all_79_3 gives: % 58.72/8.74 | (149) a_1_0_filter_1(all_45_8) = all_79_0 & relation_of_lattice(all_45_8) = % 58.72/8.74 | all_79_1 & lattice(all_45_8) = all_79_2 & empty_carrier(all_45_8) = % 58.72/8.74 | all_79_3 & $i(all_79_0) & $i(all_79_1) & ( ~ (all_79_2 = 0) | % 58.72/8.74 | all_79_0 = all_79_1 | all_79_3 = 0) % 58.72/8.74 | % 58.72/8.74 | ALPHA: (149) implies: % 58.72/8.74 | (150) empty_carrier(all_45_8) = all_79_3 % 58.72/8.74 | (151) lattice(all_45_8) = all_79_2 % 58.72/8.74 | (152) relation_of_lattice(all_45_8) = all_79_1 % 58.72/8.74 | (153) a_1_0_filter_1(all_45_8) = all_79_0 % 58.72/8.74 | (154) ~ (all_79_2 = 0) | all_79_0 = all_79_1 | all_79_3 = 0 % 58.72/8.74 | % 58.72/8.74 | DELTA: instantiating (89) with fresh symbols all_81_0, all_81_1, all_81_2, % 58.72/8.74 | all_81_3 gives: % 58.72/8.74 | (155) a_1_0_filter_1(all_37_0) = all_81_0 & relation_of_lattice(all_37_0) = % 58.72/8.74 | all_81_1 & lattice(all_37_0) = all_81_2 & empty_carrier(all_37_0) = % 58.72/8.74 | all_81_3 & $i(all_81_0) & $i(all_81_1) & ( ~ (all_81_2 = 0) | % 58.72/8.74 | all_81_0 = all_81_1 | all_81_3 = 0) % 58.72/8.74 | % 58.72/8.74 | ALPHA: (155) implies: % 58.72/8.74 | (156) empty_carrier(all_37_0) = all_81_3 % 58.72/8.74 | (157) lattice(all_37_0) = all_81_2 % 58.72/8.74 | (158) relation_of_lattice(all_37_0) = all_81_1 % 58.72/8.74 | (159) a_1_0_filter_1(all_37_0) = all_81_0 % 58.72/8.74 | (160) ~ (all_81_2 = 0) | all_81_0 = all_81_1 | all_81_3 = 0 % 58.72/8.74 | % 58.72/8.74 | DELTA: instantiating (100) with fresh symbols all_83_0, all_83_1, all_83_2, % 58.72/8.74 | all_83_3 gives: % 58.72/8.74 | (161) a_1_0_filter_1(all_45_8) = all_83_0 & relation_of_lattice(all_45_8) = % 58.72/8.74 | all_83_1 & latt_str(all_45_8) = all_83_2 & empty_carrier(all_45_8) = % 58.72/8.74 | all_83_3 & $i(all_83_0) & $i(all_83_1) & ( ~ (all_83_2 = 0) | % 58.72/8.74 | all_83_0 = all_83_1 | all_83_3 = 0) % 58.72/8.74 | % 58.72/8.74 | ALPHA: (161) implies: % 58.91/8.74 | (162) empty_carrier(all_45_8) = all_83_3 % 58.91/8.74 | (163) latt_str(all_45_8) = all_83_2 % 58.91/8.74 | (164) relation_of_lattice(all_45_8) = all_83_1 % 58.91/8.74 | (165) a_1_0_filter_1(all_45_8) = all_83_0 % 58.91/8.74 | % 58.91/8.74 | DELTA: instantiating (107) with fresh symbols all_85_0, all_85_1, all_85_2, % 58.91/8.74 | all_85_3, all_85_4 gives: % 58.91/8.74 | (166) empty(all_45_6) = all_85_3 & empty(all_45_6) = all_85_4 & % 58.91/8.74 | element(all_45_3, all_45_6) = all_85_1 & element(all_45_4, all_45_6) % 58.91/8.74 | = all_85_2 & ordered_pair(all_45_4, all_45_3) = all_85_0 & % 58.91/8.74 | $i(all_85_0) & ( ~ (all_85_1 = 0) | ~ (all_85_2 = 0) | all_85_0 = % 58.91/8.74 | all_45_2 | all_85_3 = 0 | all_85_4 = 0) % 58.91/8.74 | % 58.91/8.74 | ALPHA: (166) implies: % 58.91/8.74 | (167) ordered_pair(all_45_4, all_45_3) = all_85_0 % 58.91/8.74 | (168) element(all_45_4, all_45_6) = all_85_2 % 58.91/8.74 | (169) element(all_45_3, all_45_6) = all_85_1 % 58.91/8.74 | (170) empty(all_45_6) = all_85_4 % 58.91/8.74 | (171) empty(all_45_6) = all_85_3 % 58.91/8.74 | (172) ~ (all_85_1 = 0) | ~ (all_85_2 = 0) | all_85_0 = all_45_2 | % 58.91/8.74 | all_85_3 = 0 | all_85_4 = 0 % 58.91/8.74 | % 58.91/8.74 | DELTA: instantiating (110) with fresh symbols all_87_0, all_87_1, all_87_2, % 58.91/8.74 | all_87_3, all_87_4, all_87_5 gives: % 58.91/8.74 | (173) below_refl(all_45_8, all_45_4, all_45_4) = all_87_0 & % 58.91/8.74 | latt_str(all_45_8) = all_87_1 & empty_carrier(all_45_8) = all_87_5 & % 58.91/8.74 | meet_commutative(all_45_8) = all_87_4 & meet_absorbing(all_45_8) = % 58.91/8.74 | all_87_3 & join_absorbing(all_45_8) = all_87_2 & ( ~ (all_87_1 = 0) | % 58.91/8.74 | ~ (all_87_2 = 0) | ~ (all_87_3 = 0) | ~ (all_87_4 = 0) | % 58.91/8.74 | all_87_0 = 0 | all_87_5 = 0) % 58.91/8.74 | % 58.91/8.74 | ALPHA: (173) implies: % 58.91/8.74 | (174) join_absorbing(all_45_8) = all_87_2 % 58.91/8.74 | (175) meet_absorbing(all_45_8) = all_87_3 % 58.91/8.74 | (176) meet_commutative(all_45_8) = all_87_4 % 58.91/8.74 | (177) empty_carrier(all_45_8) = all_87_5 % 58.91/8.74 | (178) latt_str(all_45_8) = all_87_1 % 58.91/8.74 | (179) below_refl(all_45_8, all_45_4, all_45_4) = all_87_0 % 58.91/8.74 | (180) ~ (all_87_1 = 0) | ~ (all_87_2 = 0) | ~ (all_87_3 = 0) | ~ % 58.91/8.74 | (all_87_4 = 0) | all_87_0 = 0 | all_87_5 = 0 % 58.91/8.74 | % 58.91/8.74 | DELTA: instantiating (109) with fresh symbols all_89_0, all_89_1, all_89_2, % 58.91/8.74 | all_89_3, all_89_4, all_89_5 gives: % 58.91/8.74 | (181) below_refl(all_45_8, all_45_3, all_45_3) = all_89_0 & % 58.91/8.74 | latt_str(all_45_8) = all_89_1 & empty_carrier(all_45_8) = all_89_5 & % 58.91/8.74 | meet_commutative(all_45_8) = all_89_4 & meet_absorbing(all_45_8) = % 58.91/8.74 | all_89_3 & join_absorbing(all_45_8) = all_89_2 & ( ~ (all_89_1 = 0) | % 58.91/8.74 | ~ (all_89_2 = 0) | ~ (all_89_3 = 0) | ~ (all_89_4 = 0) | % 58.91/8.74 | all_89_0 = 0 | all_89_5 = 0) % 58.91/8.74 | % 58.91/8.74 | ALPHA: (181) implies: % 58.91/8.74 | (182) join_absorbing(all_45_8) = all_89_2 % 58.91/8.74 | (183) meet_absorbing(all_45_8) = all_89_3 % 58.91/8.74 | (184) meet_commutative(all_45_8) = all_89_4 % 58.91/8.74 | (185) empty_carrier(all_45_8) = all_89_5 % 58.91/8.74 | (186) latt_str(all_45_8) = all_89_1 % 58.91/8.74 | (187) below_refl(all_45_8, all_45_3, all_45_3) = all_89_0 % 58.91/8.74 | (188) ~ (all_89_1 = 0) | ~ (all_89_2 = 0) | ~ (all_89_3 = 0) | ~ % 58.91/8.74 | (all_89_4 = 0) | all_89_0 = 0 | all_89_5 = 0 % 58.91/8.74 | % 58.91/8.74 | DELTA: instantiating (106) with fresh symbols all_91_0, all_91_1, all_91_2, % 58.91/8.74 | all_91_3, all_91_4, all_91_5 gives: % 58.91/8.74 | (189) empty(all_45_6) = all_91_4 & empty(all_45_6) = all_91_5 & % 58.91/8.74 | cartesian_product2(all_45_6, all_45_6) = all_91_1 & element(all_45_2, % 58.91/8.74 | all_91_1) = all_91_0 & element(all_45_3, all_45_6) = all_91_2 & % 58.91/8.74 | element(all_45_4, all_45_6) = all_91_3 & $i(all_91_1) & ( ~ (all_91_2 % 58.91/8.74 | = 0) | ~ (all_91_3 = 0) | all_91_0 = 0 | all_91_4 = 0 | all_91_5 % 58.91/8.74 | = 0) % 58.91/8.74 | % 58.91/8.74 | ALPHA: (189) implies: % 58.91/8.74 | (190) element(all_45_4, all_45_6) = all_91_3 % 58.91/8.74 | (191) element(all_45_3, all_45_6) = all_91_2 % 58.91/8.75 | (192) cartesian_product2(all_45_6, all_45_6) = all_91_1 % 58.91/8.75 | (193) empty(all_45_6) = all_91_5 % 58.91/8.75 | (194) empty(all_45_6) = all_91_4 % 58.91/8.75 | % 58.91/8.75 | DELTA: instantiating (86) with fresh symbols all_93_0, all_93_1, all_93_2, % 58.91/8.75 | all_93_3, all_93_4, all_93_5, all_93_6, all_93_7 gives: % 58.91/8.75 | (195) lattice(all_37_0) = all_93_0 & empty_carrier(all_37_0) = all_93_7 & % 58.91/8.75 | join_commutative(all_37_0) = all_93_6 & join_associative(all_37_0) = % 58.91/8.75 | all_93_5 & meet_commutative(all_37_0) = all_93_4 & % 58.91/8.75 | meet_associative(all_37_0) = all_93_3 & meet_absorbing(all_37_0) = % 58.91/8.75 | all_93_2 & join_absorbing(all_37_0) = all_93_1 & ( ~ (all_93_1 = 0) | % 58.91/8.75 | ~ (all_93_2 = 0) | ~ (all_93_3 = 0) | ~ (all_93_4 = 0) | ~ % 58.91/8.75 | (all_93_5 = 0) | ~ (all_93_6 = 0) | all_93_0 = 0 | all_93_7 = 0) % 58.91/8.75 | % 58.91/8.75 | ALPHA: (195) implies: % 58.91/8.75 | (196) join_absorbing(all_37_0) = all_93_1 % 58.91/8.75 | (197) meet_absorbing(all_37_0) = all_93_2 % 58.91/8.75 | (198) meet_associative(all_37_0) = all_93_3 % 58.91/8.75 | (199) meet_commutative(all_37_0) = all_93_4 % 58.91/8.75 | (200) join_associative(all_37_0) = all_93_5 % 58.91/8.75 | (201) join_commutative(all_37_0) = all_93_6 % 58.91/8.75 | (202) empty_carrier(all_37_0) = all_93_7 % 58.91/8.75 | (203) lattice(all_37_0) = all_93_0 % 58.91/8.75 | % 58.91/8.75 | DELTA: instantiating (98) with fresh symbols all_95_0, all_95_1, all_95_2, % 58.91/8.75 | all_95_3, all_95_4, all_95_5, all_95_6, all_95_7 gives: % 58.91/8.75 | (204) latt_str(all_45_8) = all_95_7 & empty_carrier(all_45_8) = all_95_6 & % 58.91/8.75 | join_commutative(all_45_8) = all_95_5 & join_associative(all_45_8) = % 58.91/8.75 | all_95_4 & meet_commutative(all_45_8) = all_95_3 & % 58.91/8.75 | meet_associative(all_45_8) = all_95_2 & meet_absorbing(all_45_8) = % 58.91/8.75 | all_95_1 & join_absorbing(all_45_8) = all_95_0 & ( ~ (all_95_7 = 0) | % 58.91/8.75 | all_95_6 = 0 | (all_95_0 = 0 & all_95_1 = 0 & all_95_2 = 0 & % 58.91/8.75 | all_95_3 = 0 & all_95_4 = 0 & all_95_5 = 0)) % 58.91/8.75 | % 58.91/8.75 | ALPHA: (204) implies: % 58.91/8.75 | (205) join_absorbing(all_45_8) = all_95_0 % 58.91/8.75 | (206) meet_absorbing(all_45_8) = all_95_1 % 58.91/8.75 | (207) meet_commutative(all_45_8) = all_95_3 % 58.91/8.75 | (208) empty_carrier(all_45_8) = all_95_6 % 58.91/8.75 | (209) latt_str(all_45_8) = all_95_7 % 58.91/8.75 | % 58.91/8.75 | DELTA: instantiating (93) with fresh symbols all_97_0, all_97_1, all_97_2, % 58.91/8.75 | all_97_3, all_97_4, all_97_5, all_97_6, all_97_7 gives: % 58.91/8.75 | (210) lattice(all_45_8) = all_97_6 & empty_carrier(all_45_8) = all_97_7 & % 58.91/8.75 | join_commutative(all_45_8) = all_97_5 & join_associative(all_45_8) = % 58.91/8.75 | all_97_4 & meet_commutative(all_45_8) = all_97_3 & % 58.91/8.75 | meet_associative(all_45_8) = all_97_2 & meet_absorbing(all_45_8) = % 58.91/8.75 | all_97_1 & join_absorbing(all_45_8) = all_97_0 & ( ~ (all_97_6 = 0) | % 58.91/8.75 | all_97_7 = 0 | (all_97_0 = 0 & all_97_1 = 0 & all_97_2 = 0 & % 58.91/8.75 | all_97_3 = 0 & all_97_4 = 0 & all_97_5 = 0)) % 58.91/8.75 | % 58.91/8.75 | ALPHA: (210) implies: % 58.91/8.75 | (211) join_absorbing(all_45_8) = all_97_0 % 58.91/8.75 | (212) meet_absorbing(all_45_8) = all_97_1 % 58.91/8.75 | (213) meet_commutative(all_45_8) = all_97_3 % 58.91/8.75 | (214) empty_carrier(all_45_8) = all_97_7 % 58.91/8.75 | (215) lattice(all_45_8) = all_97_6 % 58.91/8.75 | (216) ~ (all_97_6 = 0) | all_97_7 = 0 | (all_97_0 = 0 & all_97_1 = 0 & % 58.91/8.75 | all_97_2 = 0 & all_97_3 = 0 & all_97_4 = 0 & all_97_5 = 0) % 58.91/8.75 | % 58.91/8.75 | DELTA: instantiating (87) with fresh symbols all_99_0, all_99_1, all_99_2, % 58.91/8.75 | all_99_3, all_99_4, all_99_5, all_99_6, all_99_7 gives: % 58.91/8.75 | (217) lattice(all_37_0) = all_99_6 & empty_carrier(all_37_0) = all_99_7 & % 58.91/8.75 | join_commutative(all_37_0) = all_99_5 & join_associative(all_37_0) = % 58.91/8.75 | all_99_4 & meet_commutative(all_37_0) = all_99_3 & % 58.91/8.75 | meet_associative(all_37_0) = all_99_2 & meet_absorbing(all_37_0) = % 58.91/8.75 | all_99_1 & join_absorbing(all_37_0) = all_99_0 & ( ~ (all_99_6 = 0) | % 58.91/8.75 | all_99_7 = 0 | (all_99_0 = 0 & all_99_1 = 0 & all_99_2 = 0 & % 58.91/8.75 | all_99_3 = 0 & all_99_4 = 0 & all_99_5 = 0)) % 58.91/8.75 | % 58.91/8.75 | ALPHA: (217) implies: % 58.91/8.75 | (218) join_absorbing(all_37_0) = all_99_0 % 58.91/8.75 | (219) meet_absorbing(all_37_0) = all_99_1 % 58.91/8.75 | (220) meet_associative(all_37_0) = all_99_2 % 58.91/8.75 | (221) meet_commutative(all_37_0) = all_99_3 % 58.91/8.75 | (222) join_associative(all_37_0) = all_99_4 % 58.91/8.75 | (223) join_commutative(all_37_0) = all_99_5 % 58.91/8.75 | (224) empty_carrier(all_37_0) = all_99_7 % 58.91/8.75 | (225) lattice(all_37_0) = all_99_6 % 58.91/8.75 | % 58.91/8.75 | DELTA: instantiating (92) with fresh symbols all_101_0, all_101_1, all_101_2, % 58.91/8.75 | all_101_3, all_101_4, all_101_5, all_101_6, all_101_7 gives: % 58.91/8.75 | (226) lattice(all_45_8) = all_101_0 & empty_carrier(all_45_8) = all_101_7 & % 58.91/8.75 | join_commutative(all_45_8) = all_101_6 & join_associative(all_45_8) = % 58.91/8.75 | all_101_5 & meet_commutative(all_45_8) = all_101_4 & % 58.91/8.75 | meet_associative(all_45_8) = all_101_3 & meet_absorbing(all_45_8) = % 58.91/8.75 | all_101_2 & join_absorbing(all_45_8) = all_101_1 & ( ~ (all_101_1 = % 58.91/8.75 | 0) | ~ (all_101_2 = 0) | ~ (all_101_3 = 0) | ~ (all_101_4 = 0) % 58.91/8.75 | | ~ (all_101_5 = 0) | ~ (all_101_6 = 0) | all_101_0 = 0 | % 58.91/8.75 | all_101_7 = 0) % 58.91/8.75 | % 58.91/8.75 | ALPHA: (226) implies: % 58.91/8.75 | (227) join_absorbing(all_45_8) = all_101_1 % 58.91/8.75 | (228) meet_absorbing(all_45_8) = all_101_2 % 58.91/8.75 | (229) meet_commutative(all_45_8) = all_101_4 % 58.91/8.75 | (230) empty_carrier(all_45_8) = all_101_7 % 58.91/8.75 | (231) lattice(all_45_8) = all_101_0 % 58.91/8.75 | % 58.91/8.75 | DELTA: instantiating (112) with fresh symbols all_103_0, all_103_1, all_103_2, % 58.91/8.75 | all_103_3, all_103_4, all_103_5, all_103_6, all_103_7, all_103_8 gives: % 58.91/8.75 | (232) below(all_45_8, all_45_4, all_45_3) = all_103_0 & % 58.91/8.75 | the_carrier(all_45_8) = all_103_3 & element(all_45_3, all_103_3) = % 58.91/8.75 | all_103_1 & element(all_45_4, all_103_3) = all_103_2 & % 58.91/8.75 | latt_str(all_45_8) = all_103_4 & empty_carrier(all_45_8) = all_103_8 % 58.91/8.75 | & meet_commutative(all_45_8) = all_103_7 & meet_absorbing(all_45_8) = % 58.91/8.75 | all_103_6 & join_absorbing(all_45_8) = all_103_5 & $i(all_103_3) & ( % 58.91/8.75 | ~ (all_103_1 = 0) | ~ (all_103_2 = 0) | ~ (all_103_4 = 0) | ~ % 58.91/8.75 | (all_103_5 = 0) | ~ (all_103_6 = 0) | ~ (all_103_7 = 0) | % 58.91/8.75 | all_103_8 = 0 | (( ~ (all_103_0 = 0) | all_45_0 = 0) & ( ~ % 58.91/8.75 | (all_45_0 = 0) | all_103_0 = 0))) % 58.91/8.75 | % 58.91/8.75 | ALPHA: (232) implies: % 58.91/8.75 | (233) $i(all_103_3) % 58.91/8.75 | (234) join_absorbing(all_45_8) = all_103_5 % 58.91/8.75 | (235) meet_absorbing(all_45_8) = all_103_6 % 58.91/8.75 | (236) meet_commutative(all_45_8) = all_103_7 % 58.91/8.75 | (237) empty_carrier(all_45_8) = all_103_8 % 58.91/8.75 | (238) latt_str(all_45_8) = all_103_4 % 58.91/8.75 | (239) element(all_45_4, all_103_3) = all_103_2 % 58.91/8.75 | (240) element(all_45_3, all_103_3) = all_103_1 % 58.91/8.75 | (241) the_carrier(all_45_8) = all_103_3 % 58.91/8.75 | (242) below(all_45_8, all_45_4, all_45_3) = all_103_0 % 58.91/8.75 | % 58.91/8.75 | BETA: splitting (85) gives: % 58.91/8.75 | % 58.91/8.75 | Case 1: % 58.91/8.75 | | % 58.91/8.75 | | (243) all_45_7 = 0 % 58.91/8.75 | | % 58.91/8.75 | | REDUCE: (62), (243) imply: % 58.91/8.76 | | (244) $false % 58.91/8.76 | | % 58.91/8.76 | | CLOSE: (244) is inconsistent. % 58.91/8.76 | | % 58.91/8.76 | Case 2: % 58.91/8.76 | | % 58.91/8.76 | | (245) ? [v0: any] : ? [v1: $i] : ? [v2: any] : (the_carrier(all_45_8) % 58.91/8.76 | | = v1 & one_sorted_str(all_45_8) = v0 & empty(v1) = v2 & $i(v1) & % 58.91/8.76 | | ( ~ (v2 = 0) | ~ (v0 = 0))) % 58.91/8.76 | | % 58.91/8.76 | | DELTA: instantiating (245) with fresh symbols all_114_0, all_114_1, % 58.91/8.76 | | all_114_2 gives: % 58.91/8.76 | | (246) the_carrier(all_45_8) = all_114_1 & one_sorted_str(all_45_8) = % 58.91/8.76 | | all_114_2 & empty(all_114_1) = all_114_0 & $i(all_114_1) & ( ~ % 58.91/8.76 | | (all_114_0 = 0) | ~ (all_114_2 = 0)) % 58.91/8.76 | | % 58.91/8.76 | | ALPHA: (246) implies: % 58.91/8.76 | | (247) empty(all_114_1) = all_114_0 % 58.91/8.76 | | (248) one_sorted_str(all_45_8) = all_114_2 % 58.91/8.76 | | (249) the_carrier(all_45_8) = all_114_1 % 58.91/8.76 | | (250) ~ (all_114_0 = 0) | ~ (all_114_2 = 0) % 58.91/8.76 | | % 58.91/8.76 | | BETA: splitting (83) gives: % 58.91/8.76 | | % 58.91/8.76 | | Case 1: % 58.91/8.76 | | | % 58.91/8.76 | | | (251) all_45_7 = 0 % 58.91/8.76 | | | % 58.91/8.76 | | | REDUCE: (62), (251) imply: % 58.91/8.76 | | | (252) $false % 58.91/8.76 | | | % 58.91/8.76 | | | CLOSE: (252) is inconsistent. % 58.91/8.76 | | | % 58.91/8.76 | | Case 2: % 58.91/8.76 | | | % 58.91/8.76 | | | (253) ? [v0: any] : ? [v1: any] : ? [v2: $i] : ? [v3: any] : % 58.91/8.76 | | | (relation(v2) = v3 & relation_of_lattice(all_45_8) = v2 & % 58.91/8.76 | | | lattice(all_45_8) = v0 & latt_str(all_45_8) = v1 & $i(v2) & ( ~ % 58.91/8.76 | | | (v1 = 0) | ~ (v0 = 0) | v3 = 0)) % 58.91/8.76 | | | % 58.91/8.76 | | | DELTA: instantiating (253) with fresh symbols all_119_0, all_119_1, % 58.91/8.76 | | | all_119_2, all_119_3 gives: % 58.91/8.76 | | | (254) relation(all_119_1) = all_119_0 & relation_of_lattice(all_45_8) = % 58.91/8.76 | | | all_119_1 & lattice(all_45_8) = all_119_3 & latt_str(all_45_8) = % 58.91/8.76 | | | all_119_2 & $i(all_119_1) & ( ~ (all_119_2 = 0) | ~ (all_119_3 = % 58.91/8.76 | | | 0) | all_119_0 = 0) % 58.91/8.76 | | | % 58.91/8.76 | | | ALPHA: (254) implies: % 58.91/8.76 | | | (255) latt_str(all_45_8) = all_119_2 % 58.91/8.76 | | | (256) lattice(all_45_8) = all_119_3 % 58.91/8.76 | | | (257) relation_of_lattice(all_45_8) = all_119_1 % 58.91/8.76 | | | % 58.91/8.76 | | | BETA: splitting (82) gives: % 58.91/8.76 | | | % 58.91/8.76 | | | Case 1: % 58.91/8.76 | | | | % 58.91/8.76 | | | | (258) all_42_0 = 0 % 58.91/8.76 | | | | % 58.91/8.76 | | | | REDUCE: (58), (258) imply: % 58.91/8.76 | | | | (259) $false % 58.91/8.76 | | | | % 58.91/8.76 | | | | CLOSE: (259) is inconsistent. % 58.91/8.76 | | | | % 58.91/8.76 | | | Case 2: % 58.91/8.76 | | | | % 58.91/8.76 | | | | (260) ? [v0: any] : ? [v1: any] : ? [v2: $i] : ? [v3: $i] : % 58.91/8.76 | | | | (a_1_0_filter_1(all_42_1) = v3 & relation_of_lattice(all_42_1) % 58.91/8.76 | | | | = v2 & lattice(all_42_1) = v0 & latt_str(all_42_1) = v1 & % 58.91/8.76 | | | | $i(v3) & $i(v2) & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2)) % 58.91/8.76 | | | | % 58.91/8.76 | | | | DELTA: instantiating (260) with fresh symbols all_125_0, all_125_1, % 58.91/8.76 | | | | all_125_2, all_125_3 gives: % 58.91/8.76 | | | | (261) a_1_0_filter_1(all_42_1) = all_125_0 & % 58.91/8.76 | | | | relation_of_lattice(all_42_1) = all_125_1 & lattice(all_42_1) = % 58.91/8.76 | | | | all_125_3 & latt_str(all_42_1) = all_125_2 & $i(all_125_0) & % 58.91/8.76 | | | | $i(all_125_1) & ( ~ (all_125_2 = 0) | ~ (all_125_3 = 0) | % 58.91/8.76 | | | | all_125_0 = all_125_1) % 58.91/8.76 | | | | % 58.91/8.76 | | | | ALPHA: (261) implies: % 58.91/8.76 | | | | (262) latt_str(all_42_1) = all_125_2 % 58.91/8.76 | | | | (263) ~ (all_125_2 = 0) | ~ (all_125_3 = 0) | all_125_0 = all_125_1 % 58.91/8.76 | | | | % 58.91/8.76 | | | | BETA: splitting (81) gives: % 58.91/8.76 | | | | % 58.91/8.76 | | | | Case 1: % 58.91/8.76 | | | | | % 58.91/8.76 | | | | | (264) all_42_0 = 0 % 58.91/8.76 | | | | | % 58.91/8.76 | | | | | REDUCE: (58), (264) imply: % 58.91/8.76 | | | | | (265) $false % 58.91/8.76 | | | | | % 58.91/8.76 | | | | | CLOSE: (265) is inconsistent. % 58.91/8.76 | | | | | % 58.91/8.76 | | | | Case 2: % 58.91/8.76 | | | | | % 58.91/8.76 | | | | | (266) ? [v0: any] : ? [v1: any] : ? [v2: $i] : ? [v3: any] : % 58.91/8.76 | | | | | (relation(v2) = v3 & relation_of_lattice(all_42_1) = v2 & % 58.91/8.76 | | | | | lattice(all_42_1) = v0 & latt_str(all_42_1) = v1 & $i(v2) & % 58.91/8.76 | | | | | ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = 0)) % 58.91/8.76 | | | | | % 58.91/8.76 | | | | | DELTA: instantiating (266) with fresh symbols all_130_0, all_130_1, % 58.91/8.76 | | | | | all_130_2, all_130_3 gives: % 58.91/8.76 | | | | | (267) relation(all_130_1) = all_130_0 & % 58.91/8.76 | | | | | relation_of_lattice(all_42_1) = all_130_1 & lattice(all_42_1) % 58.91/8.76 | | | | | = all_130_3 & latt_str(all_42_1) = all_130_2 & $i(all_130_1) % 58.91/8.76 | | | | | & ( ~ (all_130_2 = 0) | ~ (all_130_3 = 0) | all_130_0 = 0) % 58.91/8.76 | | | | | % 58.91/8.76 | | | | | ALPHA: (267) implies: % 58.91/8.76 | | | | | (268) latt_str(all_42_1) = all_130_2 % 58.91/8.76 | | | | | (269) ~ (all_130_2 = 0) | ~ (all_130_3 = 0) | all_130_0 = 0 % 58.91/8.76 | | | | | % 58.91/8.76 | | | | | BETA: splitting (80) gives: % 58.91/8.76 | | | | | % 58.91/8.76 | | | | | Case 1: % 58.91/8.76 | | | | | | % 58.91/8.76 | | | | | | (270) all_42_0 = 0 % 58.91/8.76 | | | | | | % 58.91/8.76 | | | | | | REDUCE: (58), (270) imply: % 58.91/8.76 | | | | | | (271) $false % 58.91/8.76 | | | | | | % 58.91/8.76 | | | | | | CLOSE: (271) is inconsistent. % 58.91/8.76 | | | | | | % 58.91/8.76 | | | | | Case 2: % 58.91/8.76 | | | | | | % 58.91/8.76 | | | | | | (272) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? [v3: any] : % 58.91/8.76 | | | | | | ? [v4: any] : ? [v5: any] : ? [v6: any] : ? [v7: any] : % 58.91/8.76 | | | | | | (lattice(all_42_1) = v1 & latt_str(all_42_1) = v0 & % 58.91/8.76 | | | | | | join_commutative(all_42_1) = v2 & % 58.91/8.76 | | | | | | join_associative(all_42_1) = v3 & % 58.91/8.76 | | | | | | meet_commutative(all_42_1) = v4 & % 58.91/8.76 | | | | | | meet_associative(all_42_1) = v5 & % 58.91/8.76 | | | | | | meet_absorbing(all_42_1) = v6 & join_absorbing(all_42_1) % 58.91/8.76 | | | | | | = v7 & ( ~ (v1 = 0) | ~ (v0 = 0) | (v7 = 0 & v6 = 0 & v5 % 58.91/8.76 | | | | | | = 0 & v4 = 0 & v3 = 0 & v2 = 0))) % 58.91/8.76 | | | | | | % 58.91/8.76 | | | | | | DELTA: instantiating (272) with fresh symbols all_135_0, all_135_1, % 58.91/8.76 | | | | | | all_135_2, all_135_3, all_135_4, all_135_5, all_135_6, % 58.91/8.76 | | | | | | all_135_7 gives: % 58.91/8.77 | | | | | | (273) lattice(all_42_1) = all_135_6 & latt_str(all_42_1) = % 58.91/8.77 | | | | | | all_135_7 & join_commutative(all_42_1) = all_135_5 & % 58.91/8.77 | | | | | | join_associative(all_42_1) = all_135_4 & % 58.91/8.77 | | | | | | meet_commutative(all_42_1) = all_135_3 & % 58.91/8.77 | | | | | | meet_associative(all_42_1) = all_135_2 & % 58.91/8.77 | | | | | | meet_absorbing(all_42_1) = all_135_1 & % 58.91/8.77 | | | | | | join_absorbing(all_42_1) = all_135_0 & ( ~ (all_135_6 = 0) % 58.91/8.77 | | | | | | | ~ (all_135_7 = 0) | (all_135_0 = 0 & all_135_1 = 0 & % 58.91/8.77 | | | | | | all_135_2 = 0 & all_135_3 = 0 & all_135_4 = 0 & % 58.91/8.77 | | | | | | all_135_5 = 0)) % 58.91/8.77 | | | | | | % 58.91/8.77 | | | | | | ALPHA: (273) implies: % 58.91/8.77 | | | | | | (274) latt_str(all_42_1) = all_135_7 % 58.91/8.77 | | | | | | % 58.91/8.77 | | | | | | BETA: splitting (79) gives: % 58.91/8.77 | | | | | | % 58.91/8.77 | | | | | | Case 1: % 58.91/8.77 | | | | | | | % 58.91/8.77 | | | | | | | (275) all_42_0 = 0 % 58.91/8.77 | | | | | | | % 58.91/8.77 | | | | | | | REDUCE: (58), (275) imply: % 58.91/8.77 | | | | | | | (276) $false % 58.91/8.77 | | | | | | | % 58.91/8.77 | | | | | | | CLOSE: (276) is inconsistent. % 58.91/8.77 | | | | | | | % 58.91/8.77 | | | | | | Case 2: % 58.91/8.77 | | | | | | | % 58.91/8.77 | | | | | | | (277) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? [v3: any] % 58.91/8.77 | | | | | | | : ? [v4: any] : ? [v5: any] : ? [v6: any] : ? [v7: % 58.91/8.77 | | | | | | | any] : (lattice(all_42_1) = v7 & latt_str(all_42_1) = % 58.91/8.77 | | | | | | | v0 & join_commutative(all_42_1) = v1 & % 58.91/8.77 | | | | | | | join_associative(all_42_1) = v2 & % 58.91/8.77 | | | | | | | meet_commutative(all_42_1) = v3 & % 58.91/8.77 | | | | | | | meet_associative(all_42_1) = v4 & % 58.91/8.77 | | | | | | | meet_absorbing(all_42_1) = v5 & % 58.91/8.77 | | | | | | | join_absorbing(all_42_1) = v6 & ( ~ (v6 = 0) | ~ (v5 = % 58.91/8.77 | | | | | | | 0) | ~ (v4 = 0) | ~ (v3 = 0) | ~ (v2 = 0) | ~ % 58.91/8.77 | | | | | | | (v1 = 0) | ~ (v0 = 0) | v7 = 0)) % 58.91/8.77 | | | | | | | % 58.91/8.77 | | | | | | | DELTA: instantiating (277) with fresh symbols all_140_0, % 58.91/8.77 | | | | | | | all_140_1, all_140_2, all_140_3, all_140_4, all_140_5, % 58.91/8.77 | | | | | | | all_140_6, all_140_7 gives: % 58.91/8.77 | | | | | | | (278) lattice(all_42_1) = all_140_0 & latt_str(all_42_1) = % 58.91/8.77 | | | | | | | all_140_7 & join_commutative(all_42_1) = all_140_6 & % 58.91/8.77 | | | | | | | join_associative(all_42_1) = all_140_5 & % 58.91/8.77 | | | | | | | meet_commutative(all_42_1) = all_140_4 & % 58.91/8.77 | | | | | | | meet_associative(all_42_1) = all_140_3 & % 58.91/8.77 | | | | | | | meet_absorbing(all_42_1) = all_140_2 & % 58.91/8.77 | | | | | | | join_absorbing(all_42_1) = all_140_1 & ( ~ (all_140_1 = % 58.91/8.77 | | | | | | | 0) | ~ (all_140_2 = 0) | ~ (all_140_3 = 0) | ~ % 58.91/8.77 | | | | | | | (all_140_4 = 0) | ~ (all_140_5 = 0) | ~ (all_140_6 = % 58.91/8.77 | | | | | | | 0) | ~ (all_140_7 = 0) | all_140_0 = 0) % 58.91/8.77 | | | | | | | % 58.91/8.77 | | | | | | | ALPHA: (278) implies: % 58.91/8.77 | | | | | | | (279) latt_str(all_42_1) = all_140_7 % 58.91/8.77 | | | | | | | % 58.91/8.77 | | | | | | | GROUND_INST: instantiating (34) with all_93_1, all_99_0, all_37_0, % 58.91/8.77 | | | | | | | simplifying with (196), (218) gives: % 58.91/8.77 | | | | | | | (280) all_99_0 = all_93_1 % 58.91/8.77 | | | | | | | % 58.91/8.77 | | | | | | | GROUND_INST: instantiating (34) with all_87_2, all_89_2, all_45_8, % 58.91/8.77 | | | | | | | simplifying with (174), (182) gives: % 58.91/8.77 | | | | | | | (281) all_89_2 = all_87_2 % 58.91/8.77 | | | | | | | % 58.91/8.77 | | | | | | | GROUND_INST: instantiating (34) with all_97_0, all_101_1, % 58.91/8.77 | | | | | | | all_45_8, simplifying with (211), (227) gives: % 58.91/8.77 | | | | | | | (282) all_101_1 = all_97_0 % 58.91/8.77 | | | | | | | % 58.91/8.77 | | | | | | | GROUND_INST: instantiating (34) with all_95_0, all_101_1, % 58.91/8.77 | | | | | | | all_45_8, simplifying with (205), (227) gives: % 58.91/8.77 | | | | | | | (283) all_101_1 = all_95_0 % 58.91/8.77 | | | | | | | % 58.91/8.77 | | | | | | | GROUND_INST: instantiating (34) with all_89_2, all_101_1, % 58.91/8.77 | | | | | | | all_45_8, simplifying with (182), (227) gives: % 58.91/8.77 | | | | | | | (284) all_101_1 = all_89_2 % 58.91/8.77 | | | | | | | % 58.91/8.77 | | | | | | | GROUND_INST: instantiating (34) with all_97_0, all_103_5, % 58.91/8.77 | | | | | | | all_45_8, simplifying with (211), (234) gives: % 58.91/8.77 | | | | | | | (285) all_103_5 = all_97_0 % 58.91/8.77 | | | | | | | % 58.91/8.77 | | | | | | | GROUND_INST: instantiating (34) with all_69_0, all_103_5, % 58.91/8.77 | | | | | | | all_45_8, simplifying with (128), (234) gives: % 58.91/8.77 | | | | | | | (286) all_103_5 = all_69_0 % 58.91/8.77 | | | | | | | % 58.91/8.77 | | | | | | | GROUND_INST: instantiating (35) with all_93_2, all_99_1, all_37_0, % 58.91/8.77 | | | | | | | simplifying with (197), (219) gives: % 58.91/8.77 | | | | | | | (287) all_99_1 = all_93_2 % 58.91/8.77 | | | | | | | % 58.91/8.77 | | | | | | | GROUND_INST: instantiating (35) with all_95_1, all_97_1, all_45_8, % 58.91/8.77 | | | | | | | simplifying with (206), (212) gives: % 58.91/8.77 | | | | | | | (288) all_97_1 = all_95_1 % 58.91/8.77 | | | | | | | % 58.91/8.77 | | | | | | | GROUND_INST: instantiating (35) with all_87_3, all_97_1, all_45_8, % 58.91/8.77 | | | | | | | simplifying with (175), (212) gives: % 58.91/8.77 | | | | | | | (289) all_97_1 = all_87_3 % 58.91/8.77 | | | | | | | % 58.91/8.77 | | | | | | | GROUND_INST: instantiating (35) with all_95_1, all_101_2, % 58.91/8.77 | | | | | | | all_45_8, simplifying with (206), (228) gives: % 58.91/8.77 | | | | | | | (290) all_101_2 = all_95_1 % 58.91/8.77 | | | | | | | % 58.91/8.77 | | | | | | | GROUND_INST: instantiating (35) with all_69_1, all_101_2, % 58.91/8.77 | | | | | | | all_45_8, simplifying with (129), (228) gives: % 58.91/8.77 | | | | | | | (291) all_101_2 = all_69_1 % 58.91/8.77 | | | | | | | % 58.91/8.77 | | | | | | | GROUND_INST: instantiating (35) with all_95_1, all_103_6, % 58.91/8.77 | | | | | | | all_45_8, simplifying with (206), (235) gives: % 58.91/8.77 | | | | | | | (292) all_103_6 = all_95_1 % 58.91/8.77 | | | | | | | % 58.91/8.77 | | | | | | | GROUND_INST: instantiating (35) with all_89_3, all_103_6, % 58.91/8.77 | | | | | | | all_45_8, simplifying with (183), (235) gives: % 58.91/8.77 | | | | | | | (293) all_103_6 = all_89_3 % 58.91/8.77 | | | | | | | % 58.91/8.77 | | | | | | | GROUND_INST: instantiating (36) with all_93_3, all_99_2, all_37_0, % 58.91/8.77 | | | | | | | simplifying with (198), (220) gives: % 58.91/8.77 | | | | | | | (294) all_99_2 = all_93_3 % 58.91/8.77 | | | | | | | % 58.91/8.77 | | | | | | | GROUND_INST: instantiating (37) with all_93_4, all_99_3, all_37_0, % 58.91/8.77 | | | | | | | simplifying with (199), (221) gives: % 58.91/8.77 | | | | | | | (295) all_99_3 = all_93_4 % 58.91/8.77 | | | | | | | % 58.91/8.77 | | | | | | | GROUND_INST: instantiating (37) with all_95_3, all_97_3, all_45_8, % 58.91/8.77 | | | | | | | simplifying with (207), (213) gives: % 58.91/8.77 | | | | | | | (296) all_97_3 = all_95_3 % 58.91/8.77 | | | | | | | % 58.91/8.77 | | | | | | | GROUND_INST: instantiating (37) with all_97_3, all_101_4, % 58.91/8.77 | | | | | | | all_45_8, simplifying with (213), (229) gives: % 58.91/8.77 | | | | | | | (297) all_101_4 = all_97_3 % 58.91/8.77 | | | | | | | % 58.91/8.77 | | | | | | | GROUND_INST: instantiating (37) with all_87_4, all_101_4, % 58.91/8.77 | | | | | | | all_45_8, simplifying with (176), (229) gives: % 58.91/8.77 | | | | | | | (298) all_101_4 = all_87_4 % 58.91/8.77 | | | | | | | % 58.91/8.77 | | | | | | | GROUND_INST: instantiating (37) with all_95_3, all_103_7, % 58.91/8.77 | | | | | | | all_45_8, simplifying with (207), (236) gives: % 58.91/8.77 | | | | | | | (299) all_103_7 = all_95_3 % 58.91/8.77 | | | | | | | % 58.91/8.77 | | | | | | | GROUND_INST: instantiating (37) with all_89_4, all_103_7, % 58.91/8.77 | | | | | | | all_45_8, simplifying with (184), (236) gives: % 58.91/8.77 | | | | | | | (300) all_103_7 = all_89_4 % 58.91/8.77 | | | | | | | % 58.91/8.77 | | | | | | | GROUND_INST: instantiating (37) with all_69_3, all_103_7, % 58.91/8.77 | | | | | | | all_45_8, simplifying with (130), (236) gives: % 58.91/8.77 | | | | | | | (301) all_103_7 = all_69_3 % 58.91/8.77 | | | | | | | % 58.91/8.77 | | | | | | | GROUND_INST: instantiating (38) with all_93_5, all_99_4, all_37_0, % 58.91/8.77 | | | | | | | simplifying with (200), (222) gives: % 58.91/8.77 | | | | | | | (302) all_99_4 = all_93_5 % 58.91/8.77 | | | | | | | % 58.91/8.77 | | | | | | | GROUND_INST: instantiating (39) with all_93_6, all_99_5, all_37_0, % 58.91/8.77 | | | | | | | simplifying with (201), (223) gives: % 58.91/8.77 | | | | | | | (303) all_99_5 = all_93_6 % 58.91/8.77 | | | | | | | % 58.91/8.77 | | | | | | | GROUND_INST: instantiating (40) with all_93_7, all_99_7, all_37_0, % 58.91/8.77 | | | | | | | simplifying with (202), (224) gives: % 58.91/8.77 | | | | | | | (304) all_99_7 = all_93_7 % 58.91/8.77 | | | | | | | % 58.91/8.77 | | | | | | | GROUND_INST: instantiating (40) with all_81_3, all_99_7, all_37_0, % 58.91/8.77 | | | | | | | simplifying with (156), (224) gives: % 58.91/8.77 | | | | | | | (305) all_99_7 = all_81_3 % 58.91/8.77 | | | | | | | % 58.91/8.77 | | | | | | | GROUND_INST: instantiating (40) with all_75_3, all_99_7, all_37_0, % 58.91/8.77 | | | | | | | simplifying with (140), (224) gives: % 58.91/8.77 | | | | | | | (306) all_99_7 = all_75_3 % 58.91/8.77 | | | | | | | % 58.91/8.77 | | | | | | | GROUND_INST: instantiating (40) with all_45_7, all_71_3, all_45_8, % 58.91/8.77 | | | | | | | simplifying with (69), (134) gives: % 58.91/8.77 | | | | | | | (307) all_71_3 = all_45_7 % 58.91/8.77 | | | | | | | % 58.91/8.77 | | | | | | | GROUND_INST: instantiating (40) with all_77_3, all_89_5, all_45_8, % 58.91/8.77 | | | | | | | simplifying with (145), (185) gives: % 58.91/8.77 | | | | | | | (308) all_89_5 = all_77_3 % 58.91/8.77 | | | | | | | % 58.91/8.77 | | | | | | | GROUND_INST: instantiating (40) with all_89_5, all_95_6, all_45_8, % 58.91/8.77 | | | | | | | simplifying with (185), (208) gives: % 58.91/8.77 | | | | | | | (309) all_95_6 = all_89_5 % 58.91/8.77 | | | | | | | % 58.91/8.77 | | | | | | | GROUND_INST: instantiating (40) with all_79_3, all_95_6, all_45_8, % 58.91/8.77 | | | | | | | simplifying with (150), (208) gives: % 58.91/8.77 | | | | | | | (310) all_95_6 = all_79_3 % 58.91/8.77 | | | | | | | % 58.91/8.77 | | | | | | | GROUND_INST: instantiating (40) with all_69_6, all_95_6, all_45_8, % 58.91/8.77 | | | | | | | simplifying with (131), (208) gives: % 58.91/8.77 | | | | | | | (311) all_95_6 = all_69_6 % 58.91/8.77 | | | | | | | % 58.91/8.77 | | | | | | | GROUND_INST: instantiating (40) with all_63_2, all_95_6, all_45_8, % 58.91/8.77 | | | | | | | simplifying with (118), (208) gives: % 58.91/8.77 | | | | | | | (312) all_95_6 = all_63_2 % 58.91/8.78 | | | | | | | % 58.91/8.78 | | | | | | | GROUND_INST: instantiating (40) with all_95_6, all_101_7, % 58.91/8.78 | | | | | | | all_45_8, simplifying with (208), (230) gives: % 58.91/8.78 | | | | | | | (313) all_101_7 = all_95_6 % 58.91/8.78 | | | | | | | % 58.91/8.78 | | | | | | | GROUND_INST: instantiating (40) with all_87_5, all_101_7, % 58.91/8.78 | | | | | | | all_45_8, simplifying with (177), (230) gives: % 58.91/8.78 | | | | | | | (314) all_101_7 = all_87_5 % 58.91/8.78 | | | | | | | % 58.91/8.78 | | | | | | | GROUND_INST: instantiating (40) with all_83_3, all_101_7, % 58.91/8.78 | | | | | | | all_45_8, simplifying with (162), (230) gives: % 58.91/8.78 | | | | | | | (315) all_101_7 = all_83_3 % 58.91/8.78 | | | | | | | % 58.91/8.78 | | | | | | | GROUND_INST: instantiating (40) with all_73_3, all_101_7, % 58.91/8.78 | | | | | | | all_45_8, simplifying with (137), (230) gives: % 58.91/8.78 | | | | | | | (316) all_101_7 = all_73_3 % 58.91/8.78 | | | | | | | % 58.91/8.78 | | | | | | | GROUND_INST: instantiating (40) with all_71_3, all_101_7, % 58.91/8.78 | | | | | | | all_45_8, simplifying with (134), (230) gives: % 58.91/8.78 | | | | | | | (317) all_101_7 = all_71_3 % 58.91/8.78 | | | | | | | % 58.91/8.78 | | | | | | | GROUND_INST: instantiating (40) with all_67_3, all_101_7, % 58.91/8.78 | | | | | | | all_45_8, simplifying with (124), (230) gives: % 58.91/8.78 | | | | | | | (318) all_101_7 = all_67_3 % 58.91/8.78 | | | | | | | % 58.91/8.78 | | | | | | | GROUND_INST: instantiating (40) with all_101_7, all_103_8, % 58.91/8.78 | | | | | | | all_45_8, simplifying with (230), (237) gives: % 58.91/8.78 | | | | | | | (319) all_103_8 = all_101_7 % 58.91/8.78 | | | | | | | % 58.91/8.78 | | | | | | | GROUND_INST: instantiating (40) with all_97_7, all_103_8, % 58.91/8.78 | | | | | | | all_45_8, simplifying with (214), (237) gives: % 58.91/8.78 | | | | | | | (320) all_103_8 = all_97_7 % 58.91/8.78 | | | | | | | % 58.91/8.78 | | | | | | | GROUND_INST: instantiating (41) with all_125_2, all_135_7, % 58.91/8.78 | | | | | | | all_42_1, simplifying with (262), (274) gives: % 58.91/8.78 | | | | | | | (321) all_135_7 = all_125_2 % 58.91/8.78 | | | | | | | % 58.91/8.78 | | | | | | | GROUND_INST: instantiating (41) with all_135_7, all_140_7, % 58.91/8.78 | | | | | | | all_42_1, simplifying with (274), (279) gives: % 58.91/8.78 | | | | | | | (322) all_140_7 = all_135_7 % 58.91/8.78 | | | | | | | % 58.91/8.78 | | | | | | | GROUND_INST: instantiating (41) with all_130_2, all_140_7, % 58.91/8.78 | | | | | | | all_42_1, simplifying with (268), (279) gives: % 58.91/8.78 | | | | | | | (323) all_140_7 = all_130_2 % 58.91/8.78 | | | | | | | % 58.91/8.78 | | | | | | | GROUND_INST: instantiating (41) with all_77_1, all_83_2, all_45_8, % 58.91/8.78 | | | | | | | simplifying with (146), (163) gives: % 58.91/8.78 | | | | | | | (324) all_83_2 = all_77_1 % 58.91/8.78 | | | | | | | % 58.91/8.78 | | | | | | | GROUND_INST: instantiating (41) with all_69_7, all_87_1, all_45_8, % 58.91/8.78 | | | | | | | simplifying with (132), (178) gives: % 58.91/8.78 | | | | | | | (325) all_87_1 = all_69_7 % 58.91/8.78 | | | | | | | % 58.91/8.78 | | | | | | | GROUND_INST: instantiating (41) with all_87_1, all_89_1, all_45_8, % 58.91/8.78 | | | | | | | simplifying with (178), (186) gives: % 58.91/8.78 | | | | | | | (326) all_89_1 = all_87_1 % 58.91/8.78 | | | | | | | % 58.91/8.78 | | | | | | | GROUND_INST: instantiating (41) with all_67_1, all_89_1, all_45_8, % 58.91/8.78 | | | | | | | simplifying with (125), (186) gives: % 58.91/8.78 | | | | | | | (327) all_89_1 = all_67_1 % 58.91/8.78 | | | | | | | % 58.91/8.78 | | | | | | | GROUND_INST: instantiating (41) with 0, all_95_7, all_45_8, % 58.91/8.78 | | | | | | | simplifying with (70), (209) gives: % 58.91/8.78 | | | | | | | (328) all_95_7 = 0 % 58.91/8.78 | | | | | | | % 58.91/8.78 | | | | | | | GROUND_INST: instantiating (41) with all_83_2, all_95_7, all_45_8, % 58.91/8.78 | | | | | | | simplifying with (163), (209) gives: % 58.91/8.78 | | | | | | | (329) all_95_7 = all_83_2 % 58.91/8.78 | | | | | | | % 58.91/8.78 | | | | | | | GROUND_INST: instantiating (41) with all_77_1, all_103_4, % 58.91/8.78 | | | | | | | all_45_8, simplifying with (146), (238) gives: % 58.91/8.78 | | | | | | | (330) all_103_4 = all_77_1 % 58.91/8.78 | | | | | | | % 58.91/8.78 | | | | | | | GROUND_INST: instantiating (41) with all_69_7, all_103_4, % 58.91/8.78 | | | | | | | all_45_8, simplifying with (132), (238) gives: % 58.91/8.78 | | | | | | | (331) all_103_4 = all_69_7 % 58.91/8.78 | | | | | | | % 58.91/8.78 | | | | | | | GROUND_INST: instantiating (41) with all_103_4, all_119_2, % 58.91/8.78 | | | | | | | all_45_8, simplifying with (238), (255) gives: % 58.91/8.78 | | | | | | | (332) all_119_2 = all_103_4 % 58.91/8.78 | | | | | | | % 58.91/8.78 | | | | | | | GROUND_INST: instantiating (41) with all_73_2, all_119_2, % 58.91/8.78 | | | | | | | all_45_8, simplifying with (138), (255) gives: % 58.91/8.78 | | | | | | | (333) all_119_2 = all_73_2 % 58.91/8.78 | | | | | | | % 58.91/8.78 | | | | | | | GROUND_INST: instantiating (42) with all_81_2, all_93_0, all_37_0, % 58.91/8.78 | | | | | | | simplifying with (157), (203) gives: % 58.91/8.78 | | | | | | | (334) all_93_0 = all_81_2 % 58.91/8.78 | | | | | | | % 58.91/8.78 | | | | | | | GROUND_INST: instantiating (42) with all_93_0, all_99_6, all_37_0, % 58.91/8.78 | | | | | | | simplifying with (203), (225) gives: % 58.91/8.78 | | | | | | | (335) all_99_6 = all_93_0 % 58.91/8.78 | | | | | | | % 58.91/8.78 | | | | | | | GROUND_INST: instantiating (42) with all_75_2, all_99_6, all_37_0, % 58.91/8.78 | | | | | | | simplifying with (141), (225) gives: % 58.91/8.78 | | | | | | | (336) all_99_6 = all_75_2 % 58.91/8.78 | | | | | | | % 58.91/8.78 | | | | | | | GROUND_INST: instantiating (42) with 0, all_71_2, all_45_8, % 58.91/8.78 | | | | | | | simplifying with (71), (135) gives: % 58.91/8.78 | | | | | | | (337) all_71_2 = 0 % 58.91/8.78 | | | | | | | % 58.91/8.78 | | | | | | | GROUND_INST: instantiating (42) with all_67_2, all_97_6, all_45_8, % 58.91/8.78 | | | | | | | simplifying with (126), (215) gives: % 58.91/8.78 | | | | | | | (338) all_97_6 = all_67_2 % 58.91/8.78 | | | | | | | % 58.91/8.78 | | | | | | | GROUND_INST: instantiating (42) with all_97_6, all_101_0, % 58.91/8.78 | | | | | | | all_45_8, simplifying with (215), (231) gives: % 58.91/8.78 | | | | | | | (339) all_101_0 = all_97_6 % 58.91/8.78 | | | | | | | % 58.91/8.78 | | | | | | | GROUND_INST: instantiating (42) with all_79_2, all_101_0, % 58.91/8.78 | | | | | | | all_45_8, simplifying with (151), (231) gives: % 58.91/8.78 | | | | | | | (340) all_101_0 = all_79_2 % 58.91/8.78 | | | | | | | % 58.91/8.78 | | | | | | | GROUND_INST: instantiating (42) with all_97_6, all_119_3, % 58.91/8.78 | | | | | | | all_45_8, simplifying with (215), (256) gives: % 58.91/8.78 | | | | | | | (341) all_119_3 = all_97_6 % 58.91/8.78 | | | | | | | % 58.91/8.78 | | | | | | | GROUND_INST: instantiating (42) with all_77_2, all_119_3, % 58.91/8.78 | | | | | | | all_45_8, simplifying with (147), (256) gives: % 58.91/8.78 | | | | | | | (342) all_119_3 = all_77_2 % 58.91/8.78 | | | | | | | % 58.91/8.78 | | | | | | | GROUND_INST: instantiating (42) with all_71_2, all_119_3, % 58.91/8.78 | | | | | | | all_45_8, simplifying with (135), (256) gives: % 58.91/8.78 | | | | | | | (343) all_119_3 = all_71_2 % 58.91/8.78 | | | | | | | % 58.91/8.78 | | | | | | | GROUND_INST: instantiating (43) with all_75_1, all_81_1, all_37_0, % 58.91/8.78 | | | | | | | simplifying with (142), (158) gives: % 58.91/8.78 | | | | | | | (344) all_81_1 = all_75_1 % 58.91/8.78 | | | | | | | % 58.91/8.78 | | | | | | | GROUND_INST: instantiating (43) with all_79_1, all_83_1, all_45_8, % 58.91/8.78 | | | | | | | simplifying with (152), (164) gives: % 58.91/8.78 | | | | | | | (345) all_83_1 = all_79_1 % 58.91/8.78 | | | | | | | % 58.91/8.78 | | | | | | | GROUND_INST: instantiating (43) with all_45_5, all_119_1, % 58.91/8.78 | | | | | | | all_45_8, simplifying with (72), (257) gives: % 58.91/8.78 | | | | | | | (346) all_119_1 = all_45_5 % 58.91/8.78 | | | | | | | % 58.91/8.78 | | | | | | | GROUND_INST: instantiating (43) with all_83_1, all_119_1, % 58.91/8.78 | | | | | | | all_45_8, simplifying with (164), (257) gives: % 58.91/8.78 | | | | | | | (347) all_119_1 = all_83_1 % 58.91/8.78 | | | | | | | % 58.91/8.78 | | | | | | | GROUND_INST: instantiating (44) with all_79_0, all_83_0, all_45_8, % 58.91/8.78 | | | | | | | simplifying with (153), (165) gives: % 58.91/8.78 | | | | | | | (348) all_83_0 = all_79_0 % 58.91/8.78 | | | | | | | % 58.91/8.78 | | | | | | | GROUND_INST: instantiating (44) with all_77_0, all_83_0, all_45_8, % 58.91/8.78 | | | | | | | simplifying with (148), (165) gives: % 58.91/8.78 | | | | | | | (349) all_83_0 = all_77_0 % 58.91/8.78 | | | | | | | % 58.91/8.78 | | | | | | | GROUND_INST: instantiating (48) with 0, all_91_3, all_45_6, % 58.91/8.78 | | | | | | | all_45_4, simplifying with (73), (190) gives: % 58.91/8.78 | | | | | | | (350) all_91_3 = 0 % 58.91/8.78 | | | | | | | % 58.91/8.78 | | | | | | | GROUND_INST: instantiating (48) with all_85_2, all_91_3, all_45_6, % 58.91/8.78 | | | | | | | all_45_4, simplifying with (168), (190) gives: % 58.91/8.78 | | | | | | | (351) all_91_3 = all_85_2 % 58.91/8.78 | | | | | | | % 58.91/8.78 | | | | | | | GROUND_INST: instantiating (48) with 0, all_91_2, all_45_6, % 58.91/8.78 | | | | | | | all_45_3, simplifying with (74), (191) gives: % 58.91/8.78 | | | | | | | (352) all_91_2 = 0 % 58.91/8.78 | | | | | | | % 58.91/8.78 | | | | | | | GROUND_INST: instantiating (48) with all_85_1, all_91_2, all_45_6, % 58.91/8.78 | | | | | | | all_45_3, simplifying with (169), (191) gives: % 58.91/8.78 | | | | | | | (353) all_91_2 = all_85_1 % 58.91/8.78 | | | | | | | % 58.91/8.78 | | | | | | | GROUND_INST: instantiating (45) with all_63_0, all_85_3, all_45_6, % 58.91/8.78 | | | | | | | simplifying with (119), (171) gives: % 58.91/8.78 | | | | | | | (354) all_85_3 = all_63_0 % 58.91/8.78 | | | | | | | % 58.91/8.78 | | | | | | | GROUND_INST: instantiating (45) with all_59_1, all_85_3, all_45_6, % 58.91/8.78 | | | | | | | simplifying with (116), (171) gives: % 58.91/8.78 | | | | | | | (355) all_85_3 = all_59_1 % 58.91/8.78 | | | | | | | % 58.91/8.78 | | | | | | | GROUND_INST: instantiating (45) with all_85_3, all_91_5, all_45_6, % 58.91/8.78 | | | | | | | simplifying with (171), (193) gives: % 58.91/8.78 | | | | | | | (356) all_91_5 = all_85_3 % 58.91/8.78 | | | | | | | % 58.91/8.78 | | | | | | | GROUND_INST: instantiating (45) with all_85_4, all_91_5, all_45_6, % 58.91/8.78 | | | | | | | simplifying with (170), (193) gives: % 58.91/8.78 | | | | | | | (357) all_91_5 = all_85_4 % 58.91/8.78 | | | | | | | % 58.91/8.78 | | | | | | | GROUND_INST: instantiating (45) with all_91_5, all_91_4, all_45_6, % 58.91/8.78 | | | | | | | simplifying with (193), (194) gives: % 58.91/8.78 | | | | | | | (358) all_91_4 = all_91_5 % 58.91/8.78 | | | | | | | % 58.91/8.78 | | | | | | | GROUND_INST: instantiating (45) with all_55_1, all_91_4, all_45_6, % 58.91/8.78 | | | | | | | simplifying with (114), (194) gives: % 58.91/8.78 | | | | | | | (359) all_91_4 = all_55_1 % 58.91/8.78 | | | | | | | % 58.91/8.78 | | | | | | | GROUND_INST: instantiating (46) with all_63_1, all_114_2, % 58.91/8.78 | | | | | | | all_45_8, simplifying with (120), (248) gives: % 58.91/8.78 | | | | | | | (360) all_114_2 = all_63_1 % 58.91/8.78 | | | | | | | % 58.91/8.78 | | | | | | | GROUND_INST: instantiating (47) with all_45_6, all_114_1, % 58.91/8.78 | | | | | | | all_45_8, simplifying with (76), (249) gives: % 58.91/8.78 | | | | | | | (361) all_114_1 = all_45_6 % 58.91/8.78 | | | | | | | % 58.91/8.78 | | | | | | | GROUND_INST: instantiating (47) with all_103_3, all_114_1, % 58.91/8.78 | | | | | | | all_45_8, simplifying with (241), (249) gives: % 58.91/8.78 | | | | | | | (362) all_114_1 = all_103_3 % 58.91/8.78 | | | | | | | % 58.91/8.78 | | | | | | | COMBINE_EQS: (322), (323) imply: % 58.91/8.78 | | | | | | | (363) all_135_7 = all_130_2 % 58.91/8.78 | | | | | | | % 58.91/8.78 | | | | | | | SIMP: (363) implies: % 58.91/8.78 | | | | | | | (364) all_135_7 = all_130_2 % 58.91/8.78 | | | | | | | % 58.91/8.79 | | | | | | | COMBINE_EQS: (321), (364) imply: % 58.91/8.79 | | | | | | | (365) all_130_2 = all_125_2 % 58.91/8.79 | | | | | | | % 58.91/8.79 | | | | | | | COMBINE_EQS: (346), (347) imply: % 58.91/8.79 | | | | | | | (366) all_83_1 = all_45_5 % 58.91/8.79 | | | | | | | % 58.91/8.79 | | | | | | | SIMP: (366) implies: % 58.91/8.79 | | | | | | | (367) all_83_1 = all_45_5 % 58.91/8.79 | | | | | | | % 58.91/8.79 | | | | | | | COMBINE_EQS: (332), (333) imply: % 58.91/8.79 | | | | | | | (368) all_103_4 = all_73_2 % 58.91/8.79 | | | | | | | % 58.91/8.79 | | | | | | | SIMP: (368) implies: % 58.91/8.79 | | | | | | | (369) all_103_4 = all_73_2 % 58.91/8.79 | | | | | | | % 58.91/8.79 | | | | | | | COMBINE_EQS: (341), (342) imply: % 58.91/8.79 | | | | | | | (370) all_97_6 = all_77_2 % 58.91/8.79 | | | | | | | % 58.91/8.79 | | | | | | | SIMP: (370) implies: % 58.91/8.79 | | | | | | | (371) all_97_6 = all_77_2 % 58.91/8.79 | | | | | | | % 58.91/8.79 | | | | | | | COMBINE_EQS: (342), (343) imply: % 58.91/8.79 | | | | | | | (372) all_77_2 = all_71_2 % 58.91/8.79 | | | | | | | % 58.91/8.79 | | | | | | | COMBINE_EQS: (361), (362) imply: % 58.91/8.79 | | | | | | | (373) all_103_3 = all_45_6 % 58.91/8.79 | | | | | | | % 58.91/8.79 | | | | | | | COMBINE_EQS: (330), (369) imply: % 58.91/8.79 | | | | | | | (374) all_77_1 = all_73_2 % 58.91/8.79 | | | | | | | % 58.91/8.79 | | | | | | | SIMP: (374) implies: % 58.91/8.79 | | | | | | | (375) all_77_1 = all_73_2 % 58.91/8.79 | | | | | | | % 58.91/8.79 | | | | | | | COMBINE_EQS: (331), (369) imply: % 58.91/8.79 | | | | | | | (376) all_73_2 = all_69_7 % 58.91/8.79 | | | | | | | % 58.91/8.79 | | | | | | | COMBINE_EQS: (285), (286) imply: % 58.91/8.79 | | | | | | | (377) all_97_0 = all_69_0 % 58.91/8.79 | | | | | | | % 58.91/8.79 | | | | | | | SIMP: (377) implies: % 58.91/8.79 | | | | | | | (378) all_97_0 = all_69_0 % 58.91/8.79 | | | | | | | % 58.91/8.79 | | | | | | | COMBINE_EQS: (292), (293) imply: % 58.91/8.79 | | | | | | | (379) all_95_1 = all_89_3 % 58.91/8.79 | | | | | | | % 58.91/8.79 | | | | | | | SIMP: (379) implies: % 58.91/8.79 | | | | | | | (380) all_95_1 = all_89_3 % 58.91/8.79 | | | | | | | % 58.91/8.79 | | | | | | | COMBINE_EQS: (300), (301) imply: % 58.91/8.79 | | | | | | | (381) all_89_4 = all_69_3 % 58.91/8.79 | | | | | | | % 58.91/8.79 | | | | | | | COMBINE_EQS: (299), (300) imply: % 58.91/8.79 | | | | | | | (382) all_95_3 = all_89_4 % 58.91/8.79 | | | | | | | % 58.91/8.79 | | | | | | | SIMP: (382) implies: % 58.91/8.79 | | | | | | | (383) all_95_3 = all_89_4 % 58.91/8.79 | | | | | | | % 58.91/8.79 | | | | | | | COMBINE_EQS: (319), (320) imply: % 58.91/8.79 | | | | | | | (384) all_101_7 = all_97_7 % 58.91/8.79 | | | | | | | % 58.91/8.79 | | | | | | | SIMP: (384) implies: % 58.91/8.79 | | | | | | | (385) all_101_7 = all_97_7 % 58.91/8.79 | | | | | | | % 58.91/8.79 | | | | | | | COMBINE_EQS: (339), (340) imply: % 58.91/8.79 | | | | | | | (386) all_97_6 = all_79_2 % 58.91/8.79 | | | | | | | % 58.91/8.79 | | | | | | | SIMP: (386) implies: % 58.91/8.79 | | | | | | | (387) all_97_6 = all_79_2 % 58.91/8.79 | | | | | | | % 58.91/8.79 | | | | | | | COMBINE_EQS: (282), (283) imply: % 58.91/8.79 | | | | | | | (388) all_97_0 = all_95_0 % 58.91/8.79 | | | | | | | % 58.91/8.79 | | | | | | | SIMP: (388) implies: % 58.91/8.79 | | | | | | | (389) all_97_0 = all_95_0 % 58.91/8.79 | | | | | | | % 58.91/8.79 | | | | | | | COMBINE_EQS: (283), (284) imply: % 58.91/8.79 | | | | | | | (390) all_95_0 = all_89_2 % 58.91/8.79 | | | | | | | % 58.91/8.79 | | | | | | | COMBINE_EQS: (290), (291) imply: % 58.91/8.79 | | | | | | | (391) all_95_1 = all_69_1 % 58.91/8.79 | | | | | | | % 58.91/8.79 | | | | | | | SIMP: (391) implies: % 58.91/8.79 | | | | | | | (392) all_95_1 = all_69_1 % 58.91/8.79 | | | | | | | % 58.91/8.79 | | | | | | | COMBINE_EQS: (297), (298) imply: % 58.91/8.79 | | | | | | | (393) all_97_3 = all_87_4 % 58.91/8.79 | | | | | | | % 58.91/8.79 | | | | | | | SIMP: (393) implies: % 58.91/8.79 | | | | | | | (394) all_97_3 = all_87_4 % 58.91/8.79 | | | | | | | % 58.91/8.79 | | | | | | | COMBINE_EQS: (317), (385) imply: % 58.91/8.79 | | | | | | | (395) all_97_7 = all_71_3 % 58.91/8.79 | | | | | | | % 58.91/8.79 | | | | | | | COMBINE_EQS: (316), (385) imply: % 58.91/8.79 | | | | | | | (396) all_97_7 = all_73_3 % 58.91/8.79 | | | | | | | % 58.91/8.79 | | | | | | | COMBINE_EQS: (313), (385) imply: % 58.91/8.79 | | | | | | | (397) all_97_7 = all_95_6 % 58.91/8.79 | | | | | | | % 58.91/8.79 | | | | | | | COMBINE_EQS: (315), (385) imply: % 58.91/8.79 | | | | | | | (398) all_97_7 = all_83_3 % 58.91/8.79 | | | | | | | % 58.91/8.79 | | | | | | | COMBINE_EQS: (318), (385) imply: % 58.91/8.79 | | | | | | | (399) all_97_7 = all_67_3 % 58.91/8.79 | | | | | | | % 58.91/8.79 | | | | | | | COMBINE_EQS: (314), (385) imply: % 58.91/8.79 | | | | | | | (400) all_97_7 = all_87_5 % 58.91/8.79 | | | | | | | % 58.91/8.79 | | | | | | | COMBINE_EQS: (335), (336) imply: % 58.91/8.79 | | | | | | | (401) all_93_0 = all_75_2 % 58.91/8.79 | | | | | | | % 58.91/8.79 | | | | | | | SIMP: (401) implies: % 58.91/8.79 | | | | | | | (402) all_93_0 = all_75_2 % 58.91/8.79 | | | | | | | % 58.91/8.79 | | | | | | | COMBINE_EQS: (304), (305) imply: % 58.91/8.79 | | | | | | | (403) all_93_7 = all_81_3 % 58.91/8.79 | | | | | | | % 58.91/8.79 | | | | | | | COMBINE_EQS: (304), (306) imply: % 58.91/8.79 | | | | | | | (404) all_93_7 = all_75_3 % 58.91/8.79 | | | | | | | % 58.91/8.79 | | | | | | | COMBINE_EQS: (378), (389) imply: % 58.91/8.79 | | | | | | | (405) all_95_0 = all_69_0 % 58.91/8.79 | | | | | | | % 58.91/8.79 | | | | | | | SIMP: (405) implies: % 58.91/8.79 | | | | | | | (406) all_95_0 = all_69_0 % 58.91/8.79 | | | | | | | % 58.91/8.79 | | | | | | | COMBINE_EQS: (288), (289) imply: % 58.91/8.79 | | | | | | | (407) all_95_1 = all_87_3 % 58.91/8.79 | | | | | | | % 58.91/8.79 | | | | | | | SIMP: (407) implies: % 58.91/8.79 | | | | | | | (408) all_95_1 = all_87_3 % 58.91/8.79 | | | | | | | % 58.91/8.79 | | | | | | | COMBINE_EQS: (296), (394) imply: % 58.91/8.79 | | | | | | | (409) all_95_3 = all_87_4 % 58.91/8.79 | | | | | | | % 58.91/8.79 | | | | | | | SIMP: (409) implies: % 58.91/8.79 | | | | | | | (410) all_95_3 = all_87_4 % 58.91/8.79 | | | | | | | % 58.91/8.79 | | | | | | | COMBINE_EQS: (371), (387) imply: % 58.91/8.79 | | | | | | | (411) all_79_2 = all_77_2 % 58.91/8.79 | | | | | | | % 58.91/8.79 | | | | | | | COMBINE_EQS: (338), (387) imply: % 58.91/8.79 | | | | | | | (412) all_79_2 = all_67_2 % 58.91/8.79 | | | | | | | % 58.91/8.79 | | | | | | | COMBINE_EQS: (398), (400) imply: % 58.91/8.79 | | | | | | | (413) all_87_5 = all_83_3 % 58.91/8.79 | | | | | | | % 58.91/8.79 | | | | | | | COMBINE_EQS: (396), (400) imply: % 58.91/8.79 | | | | | | | (414) all_87_5 = all_73_3 % 58.91/8.79 | | | | | | | % 58.91/8.79 | | | | | | | COMBINE_EQS: (399), (400) imply: % 58.91/8.79 | | | | | | | (415) all_87_5 = all_67_3 % 58.91/8.79 | | | | | | | % 58.91/8.79 | | | | | | | COMBINE_EQS: (397), (400) imply: % 58.91/8.79 | | | | | | | (416) all_95_6 = all_87_5 % 58.91/8.79 | | | | | | | % 58.91/8.79 | | | | | | | SIMP: (416) implies: % 58.91/8.79 | | | | | | | (417) all_95_6 = all_87_5 % 58.91/8.79 | | | | | | | % 58.91/8.79 | | | | | | | COMBINE_EQS: (395), (400) imply: % 58.91/8.79 | | | | | | | (418) all_87_5 = all_71_3 % 58.91/8.79 | | | | | | | % 58.91/8.79 | | | | | | | COMBINE_EQS: (390), (406) imply: % 58.91/8.79 | | | | | | | (419) all_89_2 = all_69_0 % 58.91/8.79 | | | | | | | % 58.91/8.79 | | | | | | | SIMP: (419) implies: % 58.91/8.79 | | | | | | | (420) all_89_2 = all_69_0 % 58.91/8.79 | | | | | | | % 58.91/8.79 | | | | | | | COMBINE_EQS: (380), (392) imply: % 58.91/8.79 | | | | | | | (421) all_89_3 = all_69_1 % 58.91/8.79 | | | | | | | % 58.91/8.79 | | | | | | | COMBINE_EQS: (380), (408) imply: % 58.91/8.79 | | | | | | | (422) all_89_3 = all_87_3 % 58.91/8.79 | | | | | | | % 58.91/8.79 | | | | | | | COMBINE_EQS: (383), (410) imply: % 58.91/8.79 | | | | | | | (423) all_89_4 = all_87_4 % 58.91/8.79 | | | | | | | % 58.91/8.79 | | | | | | | SIMP: (423) implies: % 58.91/8.79 | | | | | | | (424) all_89_4 = all_87_4 % 58.91/8.79 | | | | | | | % 58.91/8.79 | | | | | | | COMBINE_EQS: (310), (417) imply: % 58.91/8.79 | | | | | | | (425) all_87_5 = all_79_3 % 58.91/8.79 | | | | | | | % 58.91/8.79 | | | | | | | SIMP: (425) implies: % 58.91/8.79 | | | | | | | (426) all_87_5 = all_79_3 % 58.91/8.79 | | | | | | | % 58.91/8.79 | | | | | | | COMBINE_EQS: (309), (310) imply: % 58.91/8.79 | | | | | | | (427) all_89_5 = all_79_3 % 58.91/8.79 | | | | | | | % 58.91/8.79 | | | | | | | SIMP: (427) implies: % 58.91/8.79 | | | | | | | (428) all_89_5 = all_79_3 % 58.91/8.79 | | | | | | | % 58.91/8.79 | | | | | | | COMBINE_EQS: (310), (311) imply: % 58.91/8.79 | | | | | | | (429) all_79_3 = all_69_6 % 58.91/8.79 | | | | | | | % 58.91/8.79 | | | | | | | COMBINE_EQS: (310), (312) imply: % 58.91/8.79 | | | | | | | (430) all_79_3 = all_63_2 % 58.91/8.79 | | | | | | | % 58.91/8.79 | | | | | | | COMBINE_EQS: (328), (329) imply: % 58.91/8.79 | | | | | | | (431) all_83_2 = 0 % 58.91/8.79 | | | | | | | % 58.91/8.79 | | | | | | | SIMP: (431) implies: % 58.91/8.79 | | | | | | | (432) all_83_2 = 0 % 58.91/8.79 | | | | | | | % 58.91/8.79 | | | | | | | COMBINE_EQS: (334), (402) imply: % 58.91/8.79 | | | | | | | (433) all_81_2 = all_75_2 % 58.91/8.79 | | | | | | | % 58.91/8.79 | | | | | | | SIMP: (433) implies: % 58.91/8.79 | | | | | | | (434) all_81_2 = all_75_2 % 58.91/8.79 | | | | | | | % 58.91/8.79 | | | | | | | COMBINE_EQS: (403), (404) imply: % 58.91/8.79 | | | | | | | (435) all_81_3 = all_75_3 % 58.91/8.79 | | | | | | | % 58.91/8.79 | | | | | | | SIMP: (435) implies: % 58.91/8.79 | | | | | | | (436) all_81_3 = all_75_3 % 58.91/8.79 | | | | | | | % 58.91/8.79 | | | | | | | COMBINE_EQS: (352), (353) imply: % 58.91/8.79 | | | | | | | (437) all_85_1 = 0 % 58.91/8.79 | | | | | | | % 58.91/8.79 | | | | | | | COMBINE_EQS: (350), (351) imply: % 58.91/8.79 | | | | | | | (438) all_85_2 = 0 % 58.91/8.79 | | | | | | | % 58.91/8.79 | | | | | | | COMBINE_EQS: (358), (359) imply: % 58.91/8.79 | | | | | | | (439) all_91_5 = all_55_1 % 58.91/8.79 | | | | | | | % 58.91/8.79 | | | | | | | SIMP: (439) implies: % 58.91/8.79 | | | | | | | (440) all_91_5 = all_55_1 % 58.91/8.79 | | | | | | | % 58.91/8.79 | | | | | | | COMBINE_EQS: (356), (357) imply: % 58.91/8.79 | | | | | | | (441) all_85_3 = all_85_4 % 58.91/8.79 | | | | | | | % 58.91/8.79 | | | | | | | SIMP: (441) implies: % 58.91/8.79 | | | | | | | (442) all_85_3 = all_85_4 % 58.91/8.79 | | | | | | | % 58.91/8.79 | | | | | | | COMBINE_EQS: (357), (440) imply: % 58.91/8.79 | | | | | | | (443) all_85_4 = all_55_1 % 58.91/8.79 | | | | | | | % 58.91/8.79 | | | | | | | COMBINE_EQS: (326), (327) imply: % 58.91/8.79 | | | | | | | (444) all_87_1 = all_67_1 % 58.91/8.79 | | | | | | | % 58.91/8.79 | | | | | | | SIMP: (444) implies: % 58.91/8.79 | | | | | | | (445) all_87_1 = all_67_1 % 58.91/8.79 | | | | | | | % 58.91/8.79 | | | | | | | COMBINE_EQS: (281), (420) imply: % 58.91/8.79 | | | | | | | (446) all_87_2 = all_69_0 % 58.91/8.79 | | | | | | | % 58.91/8.79 | | | | | | | SIMP: (446) implies: % 58.91/8.79 | | | | | | | (447) all_87_2 = all_69_0 % 58.91/8.79 | | | | | | | % 58.91/8.79 | | | | | | | COMBINE_EQS: (421), (422) imply: % 58.91/8.79 | | | | | | | (448) all_87_3 = all_69_1 % 58.91/8.79 | | | | | | | % 58.91/8.79 | | | | | | | SIMP: (448) implies: % 58.91/8.79 | | | | | | | (449) all_87_3 = all_69_1 % 58.91/8.79 | | | | | | | % 58.91/8.79 | | | | | | | COMBINE_EQS: (381), (424) imply: % 58.91/8.79 | | | | | | | (450) all_87_4 = all_69_3 % 58.91/8.79 | | | | | | | % 58.91/8.79 | | | | | | | COMBINE_EQS: (308), (428) imply: % 58.91/8.79 | | | | | | | (451) all_79_3 = all_77_3 % 58.91/8.79 | | | | | | | % 58.91/8.79 | | | | | | | SIMP: (451) implies: % 58.91/8.79 | | | | | | | (452) all_79_3 = all_77_3 % 58.91/8.79 | | | | | | | % 58.91/8.79 | | | | | | | COMBINE_EQS: (325), (445) imply: % 58.91/8.79 | | | | | | | (453) all_69_7 = all_67_1 % 58.91/8.79 | | | | | | | % 58.91/8.79 | | | | | | | SIMP: (453) implies: % 58.91/8.79 | | | | | | | (454) all_69_7 = all_67_1 % 58.91/8.79 | | | | | | | % 58.91/8.79 | | | | | | | COMBINE_EQS: (413), (415) imply: % 58.91/8.79 | | | | | | | (455) all_83_3 = all_67_3 % 58.91/8.79 | | | | | | | % 58.91/8.79 | | | | | | | COMBINE_EQS: (413), (426) imply: % 58.91/8.79 | | | | | | | (456) all_83_3 = all_79_3 % 58.91/8.79 | | | | | | | % 58.91/8.79 | | | | | | | COMBINE_EQS: (413), (414) imply: % 58.91/8.79 | | | | | | | (457) all_83_3 = all_73_3 % 58.91/8.79 | | | | | | | % 58.91/8.79 | | | | | | | COMBINE_EQS: (413), (418) imply: % 58.91/8.79 | | | | | | | (458) all_83_3 = all_71_3 % 58.91/8.79 | | | | | | | % 58.91/8.79 | | | | | | | COMBINE_EQS: (354), (442) imply: % 58.91/8.79 | | | | | | | (459) all_85_4 = all_63_0 % 58.91/8.79 | | | | | | | % 58.91/8.79 | | | | | | | SIMP: (459) implies: % 58.91/8.79 | | | | | | | (460) all_85_4 = all_63_0 % 58.91/8.79 | | | | | | | % 58.91/8.79 | | | | | | | COMBINE_EQS: (354), (355) imply: % 58.91/8.79 | | | | | | | (461) all_63_0 = all_59_1 % 58.91/8.79 | | | | | | | % 58.91/8.79 | | | | | | | COMBINE_EQS: (443), (460) imply: % 58.91/8.79 | | | | | | | (462) all_63_0 = all_55_1 % 58.91/8.79 | | | | | | | % 58.91/8.79 | | | | | | | SIMP: (462) implies: % 58.91/8.79 | | | | | | | (463) all_63_0 = all_55_1 % 58.91/8.79 | | | | | | | % 58.91/8.79 | | | | | | | COMBINE_EQS: (348), (349) imply: % 58.91/8.79 | | | | | | | (464) all_79_0 = all_77_0 % 58.91/8.79 | | | | | | | % 58.91/8.79 | | | | | | | COMBINE_EQS: (345), (367) imply: % 58.91/8.79 | | | | | | | (465) all_79_1 = all_45_5 % 58.91/8.79 | | | | | | | % 58.91/8.79 | | | | | | | COMBINE_EQS: (324), (432) imply: % 58.91/8.79 | | | | | | | (466) all_77_1 = 0 % 58.91/8.79 | | | | | | | % 58.91/8.79 | | | | | | | SIMP: (466) implies: % 58.91/8.79 | | | | | | | (467) all_77_1 = 0 % 58.91/8.79 | | | | | | | % 58.91/8.79 | | | | | | | COMBINE_EQS: (455), (457) imply: % 58.91/8.79 | | | | | | | (468) all_73_3 = all_67_3 % 58.91/8.79 | | | | | | | % 58.91/8.79 | | | | | | | COMBINE_EQS: (457), (458) imply: % 58.91/8.79 | | | | | | | (469) all_73_3 = all_71_3 % 58.91/8.79 | | | | | | | % 58.91/8.79 | | | | | | | COMBINE_EQS: (456), (457) imply: % 58.91/8.79 | | | | | | | (470) all_79_3 = all_73_3 % 58.91/8.79 | | | | | | | % 58.91/8.79 | | | | | | | SIMP: (470) implies: % 58.91/8.79 | | | | | | | (471) all_79_3 = all_73_3 % 58.91/8.79 | | | | | | | % 58.91/8.79 | | | | | | | COMBINE_EQS: (411), (412) imply: % 58.91/8.79 | | | | | | | (472) all_77_2 = all_67_2 % 58.91/8.79 | | | | | | | % 58.91/8.79 | | | | | | | SIMP: (472) implies: % 58.91/8.79 | | | | | | | (473) all_77_2 = all_67_2 % 58.91/8.79 | | | | | | | % 58.91/8.79 | | | | | | | COMBINE_EQS: (430), (452) imply: % 58.91/8.79 | | | | | | | (474) all_77_3 = all_63_2 % 58.91/8.79 | | | | | | | % 58.91/8.79 | | | | | | | COMBINE_EQS: (429), (452) imply: % 58.91/8.79 | | | | | | | (475) all_77_3 = all_69_6 % 58.91/8.79 | | | | | | | % 58.91/8.79 | | | | | | | COMBINE_EQS: (452), (471) imply: % 58.91/8.79 | | | | | | | (476) all_77_3 = all_73_3 % 58.91/8.79 | | | | | | | % 58.91/8.79 | | | | | | | COMBINE_EQS: (375), (467) imply: % 58.91/8.79 | | | | | | | (477) all_73_2 = 0 % 58.91/8.79 | | | | | | | % 58.91/8.79 | | | | | | | SIMP: (477) implies: % 58.91/8.79 | | | | | | | (478) all_73_2 = 0 % 58.91/8.79 | | | | | | | % 58.91/8.79 | | | | | | | COMBINE_EQS: (372), (473) imply: % 58.91/8.79 | | | | | | | (479) all_71_2 = all_67_2 % 58.91/8.79 | | | | | | | % 58.91/8.79 | | | | | | | SIMP: (479) implies: % 58.91/8.79 | | | | | | | (480) all_71_2 = all_67_2 % 58.91/8.79 | | | | | | | % 58.91/8.79 | | | | | | | COMBINE_EQS: (474), (475) imply: % 58.91/8.79 | | | | | | | (481) all_69_6 = all_63_2 % 58.91/8.79 | | | | | | | % 58.91/8.79 | | | | | | | COMBINE_EQS: (475), (476) imply: % 58.91/8.79 | | | | | | | (482) all_73_3 = all_69_6 % 58.91/8.79 | | | | | | | % 58.91/8.79 | | | | | | | SIMP: (482) implies: % 58.91/8.79 | | | | | | | (483) all_73_3 = all_69_6 % 58.91/8.79 | | | | | | | % 58.91/8.79 | | | | | | | COMBINE_EQS: (376), (478) imply: % 58.91/8.79 | | | | | | | (484) all_69_7 = 0 % 58.91/8.79 | | | | | | | % 58.91/8.79 | | | | | | | SIMP: (484) implies: % 58.91/8.79 | | | | | | | (485) all_69_7 = 0 % 58.91/8.79 | | | | | | | % 58.91/8.79 | | | | | | | COMBINE_EQS: (468), (469) imply: % 58.91/8.79 | | | | | | | (486) all_71_3 = all_67_3 % 58.91/8.79 | | | | | | | % 58.91/8.79 | | | | | | | SIMP: (486) implies: % 58.91/8.79 | | | | | | | (487) all_71_3 = all_67_3 % 58.91/8.79 | | | | | | | % 58.91/8.79 | | | | | | | COMBINE_EQS: (468), (483) imply: % 58.91/8.79 | | | | | | | (488) all_69_6 = all_67_3 % 58.91/8.79 | | | | | | | % 58.91/8.79 | | | | | | | SIMP: (488) implies: % 58.91/8.79 | | | | | | | (489) all_69_6 = all_67_3 % 58.91/8.79 | | | | | | | % 58.91/8.79 | | | | | | | COMBINE_EQS: (337), (480) imply: % 58.91/8.79 | | | | | | | (490) all_67_2 = 0 % 58.91/8.79 | | | | | | | % 58.91/8.79 | | | | | | | COMBINE_EQS: (307), (487) imply: % 58.91/8.79 | | | | | | | (491) all_67_3 = all_45_7 % 58.91/8.79 | | | | | | | % 58.91/8.79 | | | | | | | SIMP: (491) implies: % 58.91/8.80 | | | | | | | (492) all_67_3 = all_45_7 % 58.91/8.80 | | | | | | | % 58.91/8.80 | | | | | | | COMBINE_EQS: (481), (489) imply: % 58.91/8.80 | | | | | | | (493) all_67_3 = all_63_2 % 58.91/8.80 | | | | | | | % 58.91/8.80 | | | | | | | SIMP: (493) implies: % 58.91/8.80 | | | | | | | (494) all_67_3 = all_63_2 % 58.91/8.80 | | | | | | | % 58.91/8.80 | | | | | | | COMBINE_EQS: (454), (485) imply: % 58.91/8.80 | | | | | | | (495) all_67_1 = 0 % 58.91/8.80 | | | | | | | % 58.91/8.80 | | | | | | | SIMP: (495) implies: % 58.91/8.80 | | | | | | | (496) all_67_1 = 0 % 58.91/8.80 | | | | | | | % 58.91/8.80 | | | | | | | COMBINE_EQS: (492), (494) imply: % 58.91/8.80 | | | | | | | (497) all_63_2 = all_45_7 % 58.91/8.80 | | | | | | | % 58.91/8.80 | | | | | | | COMBINE_EQS: (461), (463) imply: % 58.91/8.80 | | | | | | | (498) all_59_1 = all_55_1 % 58.91/8.80 | | | | | | | % 58.91/8.80 | | | | | | | SIMP: (498) implies: % 58.91/8.80 | | | | | | | (499) all_59_1 = all_55_1 % 58.91/8.80 | | | | | | | % 58.91/8.80 | | | | | | | COMBINE_EQS: (481), (497) imply: % 58.91/8.80 | | | | | | | (500) all_69_6 = all_45_7 % 58.91/8.80 | | | | | | | % 58.91/8.80 | | | | | | | COMBINE_EQS: (468), (492) imply: % 58.91/8.80 | | | | | | | (501) all_73_3 = all_45_7 % 58.91/8.80 | | | | | | | % 58.91/8.80 | | | | | | | COMBINE_EQS: (475), (500) imply: % 58.91/8.80 | | | | | | | (502) all_77_3 = all_45_7 % 58.91/8.80 | | | | | | | % 58.91/8.80 | | | | | | | COMBINE_EQS: (452), (502) imply: % 58.91/8.80 | | | | | | | (503) all_79_3 = all_45_7 % 58.91/8.80 | | | | | | | % 58.91/8.80 | | | | | | | COMBINE_EQS: (412), (490) imply: % 58.91/8.80 | | | | | | | (504) all_79_2 = 0 % 58.91/8.80 | | | | | | | % 58.91/8.80 | | | | | | | COMBINE_EQS: (457), (501) imply: % 58.91/8.80 | | | | | | | (505) all_83_3 = all_45_7 % 58.91/8.80 | | | | | | | % 58.91/8.80 | | | | | | | COMBINE_EQS: (354), (463) imply: % 58.91/8.80 | | | | | | | (506) all_85_3 = all_55_1 % 58.91/8.80 | | | | | | | % 58.91/8.80 | | | | | | | COMBINE_EQS: (413), (505) imply: % 58.91/8.80 | | | | | | | (507) all_87_5 = all_45_7 % 58.91/8.80 | | | | | | | % 58.91/8.80 | | | | | | | COMBINE_EQS: (445), (496) imply: % 58.91/8.80 | | | | | | | (508) all_87_1 = 0 % 58.91/8.80 | | | | | | | % 58.91/8.80 | | | | | | | COMBINE_EQS: (308), (502) imply: % 58.91/8.80 | | | | | | | (509) all_89_5 = all_45_7 % 58.91/8.80 | | | | | | | % 58.91/8.80 | | | | | | | COMBINE_EQS: (327), (496) imply: % 58.91/8.80 | | | | | | | (510) all_89_1 = 0 % 58.91/8.80 | | | | | | | % 58.91/8.80 | | | | | | | COMBINE_EQS: (400), (507) imply: % 58.91/8.80 | | | | | | | (511) all_97_7 = all_45_7 % 58.91/8.80 | | | | | | | % 58.91/8.80 | | | | | | | COMBINE_EQS: (387), (504) imply: % 58.91/8.80 | | | | | | | (512) all_97_6 = 0 % 58.91/8.80 | | | | | | | % 58.91/8.80 | | | | | | | COMBINE_EQS: (394), (450) imply: % 58.91/8.80 | | | | | | | (513) all_97_3 = all_69_3 % 58.91/8.80 | | | | | | | % 58.91/8.80 | | | | | | | COMBINE_EQS: (289), (449) imply: % 58.91/8.80 | | | | | | | (514) all_97_1 = all_69_1 % 58.91/8.80 | | | | | | | % 58.91/8.80 | | | | | | | REDUCE: (247), (361) imply: % 58.91/8.80 | | | | | | | (515) empty(all_45_6) = all_114_0 % 58.91/8.80 | | | | | | | % 58.91/8.80 | | | | | | | REDUCE: (240), (373) imply: % 58.91/8.80 | | | | | | | (516) element(all_45_3, all_45_6) = all_103_1 % 58.91/8.80 | | | | | | | % 58.91/8.80 | | | | | | | REDUCE: (239), (373) imply: % 58.91/8.80 | | | | | | | (517) element(all_45_4, all_45_6) = all_103_2 % 58.91/8.80 | | | | | | | % 58.91/8.80 | | | | | | | BETA: splitting (216) gives: % 58.91/8.80 | | | | | | | % 58.91/8.80 | | | | | | | Case 1: % 58.91/8.80 | | | | | | | | % 58.91/8.80 | | | | | | | | (518) ~ (all_97_6 = 0) % 58.91/8.80 | | | | | | | | % 58.91/8.80 | | | | | | | | REDUCE: (512), (518) imply: % 58.91/8.80 | | | | | | | | (519) $false % 58.91/8.80 | | | | | | | | % 58.91/8.80 | | | | | | | | CLOSE: (519) is inconsistent. % 58.91/8.80 | | | | | | | | % 58.91/8.80 | | | | | | | Case 2: % 58.91/8.80 | | | | | | | | % 58.91/8.80 | | | | | | | | (520) all_97_7 = 0 | (all_97_0 = 0 & all_97_1 = 0 & all_97_2 % 58.91/8.80 | | | | | | | | = 0 & all_97_3 = 0 & all_97_4 = 0 & all_97_5 = 0) % 58.91/8.80 | | | | | | | | % 58.91/8.80 | | | | | | | | BETA: splitting (520) gives: % 58.91/8.80 | | | | | | | | % 58.91/8.80 | | | | | | | | Case 1: % 58.91/8.80 | | | | | | | | | % 58.91/8.80 | | | | | | | | | (521) all_97_7 = 0 % 58.91/8.80 | | | | | | | | | % 58.91/8.80 | | | | | | | | | COMBINE_EQS: (511), (521) imply: % 58.91/8.80 | | | | | | | | | (522) all_45_7 = 0 % 58.91/8.80 | | | | | | | | | % 58.91/8.80 | | | | | | | | | REDUCE: (62), (522) imply: % 58.91/8.80 | | | | | | | | | (523) $false % 58.91/8.80 | | | | | | | | | % 58.91/8.80 | | | | | | | | | CLOSE: (523) is inconsistent. % 58.91/8.80 | | | | | | | | | % 58.91/8.80 | | | | | | | | Case 2: % 58.91/8.80 | | | | | | | | | % 58.91/8.80 | | | | | | | | | (524) ~ (all_97_7 = 0) % 58.91/8.80 | | | | | | | | | (525) all_97_0 = 0 & all_97_1 = 0 & all_97_2 = 0 & all_97_3 % 58.91/8.80 | | | | | | | | | = 0 & all_97_4 = 0 & all_97_5 = 0 % 58.91/8.80 | | | | | | | | | % 58.91/8.80 | | | | | | | | | ALPHA: (525) implies: % 58.91/8.80 | | | | | | | | | (526) all_97_3 = 0 % 58.91/8.80 | | | | | | | | | (527) all_97_1 = 0 % 58.91/8.80 | | | | | | | | | (528) all_97_0 = 0 % 58.91/8.80 | | | | | | | | | % 58.91/8.80 | | | | | | | | | COMBINE_EQS: (378), (528) imply: % 58.91/8.80 | | | | | | | | | (529) all_69_0 = 0 % 58.91/8.80 | | | | | | | | | % 58.91/8.80 | | | | | | | | | COMBINE_EQS: (514), (527) imply: % 58.91/8.80 | | | | | | | | | (530) all_69_1 = 0 % 58.91/8.80 | | | | | | | | | % 58.91/8.80 | | | | | | | | | COMBINE_EQS: (513), (526) imply: % 58.91/8.80 | | | | | | | | | (531) all_69_3 = 0 % 58.91/8.80 | | | | | | | | | % 58.91/8.80 | | | | | | | | | COMBINE_EQS: (450), (531) imply: % 58.91/8.80 | | | | | | | | | (532) all_87_4 = 0 % 58.91/8.80 | | | | | | | | | % 58.91/8.80 | | | | | | | | | COMBINE_EQS: (449), (530) imply: % 58.91/8.80 | | | | | | | | | (533) all_87_3 = 0 % 58.91/8.80 | | | | | | | | | % 58.91/8.80 | | | | | | | | | COMBINE_EQS: (447), (529) imply: % 58.91/8.80 | | | | | | | | | (534) all_87_2 = 0 % 58.91/8.80 | | | | | | | | | % 58.91/8.80 | | | | | | | | | COMBINE_EQS: (381), (531) imply: % 58.91/8.80 | | | | | | | | | (535) all_89_4 = 0 % 58.91/8.80 | | | | | | | | | % 58.91/8.80 | | | | | | | | | COMBINE_EQS: (421), (530) imply: % 58.91/8.80 | | | | | | | | | (536) all_89_3 = 0 % 58.91/8.80 | | | | | | | | | % 58.91/8.80 | | | | | | | | | COMBINE_EQS: (420), (529) imply: % 58.91/8.80 | | | | | | | | | (537) all_89_2 = 0 % 58.91/8.80 | | | | | | | | | % 58.91/8.80 | | | | | | | | | BETA: splitting (84) gives: % 58.91/8.80 | | | | | | | | | % 58.91/8.80 | | | | | | | | | Case 1: % 58.91/8.80 | | | | | | | | | | % 58.91/8.80 | | | | | | | | | | (538) all_45_7 = 0 % 58.91/8.80 | | | | | | | | | | % 58.91/8.80 | | | | | | | | | | REDUCE: (62), (538) imply: % 58.91/8.80 | | | | | | | | | | (539) $false % 58.91/8.80 | | | | | | | | | | % 58.91/8.80 | | | | | | | | | | CLOSE: (539) is inconsistent. % 58.91/8.80 | | | | | | | | | | % 58.91/8.80 | | | | | | | | | Case 2: % 58.91/8.80 | | | | | | | | | | % 58.91/8.80 | | | | | | | | | | (540) ? [v0: any] : ? [v1: any] : ? [v2: $i] : ? [v3: % 58.91/8.80 | | | | | | | | | | $i] : (a_1_0_filter_1(all_45_8) = v3 & % 58.91/8.80 | | | | | | | | | | relation_of_lattice(all_45_8) = v2 & % 58.91/8.80 | | | | | | | | | | lattice(all_45_8) = v0 & latt_str(all_45_8) = v1 % 58.91/8.80 | | | | | | | | | | & $i(v3) & $i(v2) & ( ~ (v1 = 0) | ~ (v0 = 0) | % 58.91/8.80 | | | | | | | | | | v3 = v2)) % 58.91/8.80 | | | | | | | | | | % 58.91/8.80 | | | | | | | | | | DELTA: instantiating (540) with fresh symbols all_166_0, % 58.91/8.80 | | | | | | | | | | all_166_1, all_166_2, all_166_3 gives: % 58.91/8.80 | | | | | | | | | | (541) a_1_0_filter_1(all_45_8) = all_166_0 & % 58.91/8.80 | | | | | | | | | | relation_of_lattice(all_45_8) = all_166_1 & % 58.91/8.80 | | | | | | | | | | lattice(all_45_8) = all_166_3 & latt_str(all_45_8) % 58.91/8.80 | | | | | | | | | | = all_166_2 & $i(all_166_0) & $i(all_166_1) & ( ~ % 58.91/8.80 | | | | | | | | | | (all_166_2 = 0) | ~ (all_166_3 = 0) | all_166_0 % 58.91/8.80 | | | | | | | | | | = all_166_1) % 58.91/8.80 | | | | | | | | | | % 58.91/8.80 | | | | | | | | | | ALPHA: (541) implies: % 58.91/8.80 | | | | | | | | | | (542) latt_str(all_45_8) = all_166_2 % 58.91/8.80 | | | | | | | | | | (543) lattice(all_45_8) = all_166_3 % 58.91/8.80 | | | | | | | | | | (544) a_1_0_filter_1(all_45_8) = all_166_0 % 58.91/8.80 | | | | | | | | | | % 58.91/8.80 | | | | | | | | | | BETA: splitting (154) gives: % 58.91/8.80 | | | | | | | | | | % 58.91/8.80 | | | | | | | | | | Case 1: % 58.91/8.80 | | | | | | | | | | | % 58.91/8.80 | | | | | | | | | | | (545) ~ (all_79_2 = 0) % 58.91/8.80 | | | | | | | | | | | % 58.91/8.80 | | | | | | | | | | | REDUCE: (504), (545) imply: % 58.91/8.80 | | | | | | | | | | | (546) $false % 58.91/8.80 | | | | | | | | | | | % 58.91/8.80 | | | | | | | | | | | CLOSE: (546) is inconsistent. % 58.91/8.80 | | | | | | | | | | | % 58.91/8.80 | | | | | | | | | | Case 2: % 58.91/8.80 | | | | | | | | | | | % 58.91/8.80 | | | | | | | | | | | (547) all_79_0 = all_79_1 | all_79_3 = 0 % 58.91/8.80 | | | | | | | | | | | % 58.91/8.80 | | | | | | | | | | | BETA: splitting (547) gives: % 58.91/8.80 | | | | | | | | | | | % 58.91/8.80 | | | | | | | | | | | Case 1: % 58.91/8.80 | | | | | | | | | | | | % 58.91/8.80 | | | | | | | | | | | | (548) all_79_3 = 0 % 58.91/8.80 | | | | | | | | | | | | % 58.91/8.80 | | | | | | | | | | | | COMBINE_EQS: (503), (548) imply: % 58.91/8.80 | | | | | | | | | | | | (549) all_45_7 = 0 % 58.91/8.80 | | | | | | | | | | | | % 58.91/8.80 | | | | | | | | | | | | SIMP: (549) implies: % 58.91/8.80 | | | | | | | | | | | | (550) all_45_7 = 0 % 58.91/8.80 | | | | | | | | | | | | % 58.91/8.80 | | | | | | | | | | | | REDUCE: (62), (550) imply: % 58.91/8.80 | | | | | | | | | | | | (551) $false % 58.91/8.80 | | | | | | | | | | | | % 58.91/8.80 | | | | | | | | | | | | CLOSE: (551) is inconsistent. % 58.91/8.80 | | | | | | | | | | | | % 58.91/8.80 | | | | | | | | | | | Case 2: % 58.91/8.80 | | | | | | | | | | | | % 58.91/8.80 | | | | | | | | | | | | (552) all_79_0 = all_79_1 % 58.91/8.80 | | | | | | | | | | | | (553) ~ (all_79_3 = 0) % 58.91/8.80 | | | | | | | | | | | | % 58.91/8.80 | | | | | | | | | | | | COMBINE_EQS: (464), (552) imply: % 58.91/8.80 | | | | | | | | | | | | (554) all_79_1 = all_77_0 % 58.91/8.80 | | | | | | | | | | | | % 58.91/8.80 | | | | | | | | | | | | COMBINE_EQS: (465), (554) imply: % 58.91/8.80 | | | | | | | | | | | | (555) all_77_0 = all_45_5 % 58.91/8.80 | | | | | | | | | | | | % 58.91/8.80 | | | | | | | | | | | | SIMP: (555) implies: % 58.91/8.80 | | | | | | | | | | | | (556) all_77_0 = all_45_5 % 58.91/8.80 | | | | | | | | | | | | % 58.91/8.80 | | | | | | | | | | | | REDUCE: (148), (556) imply: % 58.91/8.80 | | | | | | | | | | | | (557) a_1_0_filter_1(all_45_8) = all_45_5 % 58.91/8.80 | | | | | | | | | | | | % 58.91/8.80 | | | | | | | | | | | | BETA: splitting (180) gives: % 58.91/8.80 | | | | | | | | | | | | % 58.91/8.80 | | | | | | | | | | | | Case 1: % 58.91/8.80 | | | | | | | | | | | | | % 58.91/8.80 | | | | | | | | | | | | | (558) ~ (all_87_1 = 0) % 58.91/8.80 | | | | | | | | | | | | | % 58.91/8.80 | | | | | | | | | | | | | REDUCE: (508), (558) imply: % 58.91/8.80 | | | | | | | | | | | | | (559) $false % 58.91/8.80 | | | | | | | | | | | | | % 58.91/8.80 | | | | | | | | | | | | | CLOSE: (559) is inconsistent. % 58.91/8.80 | | | | | | | | | | | | | % 58.91/8.80 | | | | | | | | | | | | Case 2: % 58.91/8.80 | | | | | | | | | | | | | % 58.91/8.80 | | | | | | | | | | | | | (560) ~ (all_87_2 = 0) | ~ (all_87_3 = 0) | ~ % 58.91/8.80 | | | | | | | | | | | | | (all_87_4 = 0) | all_87_0 = 0 | all_87_5 = 0 % 58.91/8.80 | | | | | | | | | | | | | % 58.91/8.80 | | | | | | | | | | | | | BETA: splitting (188) gives: % 58.91/8.80 | | | | | | | | | | | | | % 58.91/8.80 | | | | | | | | | | | | | Case 1: % 58.91/8.80 | | | | | | | | | | | | | | % 58.91/8.80 | | | | | | | | | | | | | | (561) ~ (all_89_1 = 0) % 58.91/8.80 | | | | | | | | | | | | | | % 58.91/8.80 | | | | | | | | | | | | | | REDUCE: (510), (561) imply: % 58.91/8.80 | | | | | | | | | | | | | | (562) $false % 58.91/8.80 | | | | | | | | | | | | | | % 58.91/8.80 | | | | | | | | | | | | | | CLOSE: (562) is inconsistent. % 58.91/8.80 | | | | | | | | | | | | | | % 58.91/8.80 | | | | | | | | | | | | | Case 2: % 58.91/8.80 | | | | | | | | | | | | | | % 58.91/8.80 | | | | | | | | | | | | | | (563) ~ (all_89_2 = 0) | ~ (all_89_3 = 0) | ~ % 58.91/8.80 | | | | | | | | | | | | | | (all_89_4 = 0) | all_89_0 = 0 | all_89_5 = 0 % 58.91/8.80 | | | | | | | | | | | | | | % 58.91/8.80 | | | | | | | | | | | | | | BETA: splitting (563) gives: % 58.91/8.80 | | | | | | | | | | | | | | % 58.91/8.80 | | | | | | | | | | | | | | Case 1: % 58.91/8.80 | | | | | | | | | | | | | | | % 58.91/8.80 | | | | | | | | | | | | | | | (564) ~ (all_89_2 = 0) % 58.91/8.80 | | | | | | | | | | | | | | | % 58.91/8.80 | | | | | | | | | | | | | | | REDUCE: (537), (564) imply: % 58.91/8.80 | | | | | | | | | | | | | | | (565) $false % 58.91/8.80 | | | | | | | | | | | | | | | % 58.91/8.80 | | | | | | | | | | | | | | | CLOSE: (565) is inconsistent. % 58.91/8.80 | | | | | | | | | | | | | | | % 58.91/8.80 | | | | | | | | | | | | | | Case 2: % 58.91/8.80 | | | | | | | | | | | | | | | % 58.91/8.80 | | | | | | | | | | | | | | | (566) ~ (all_89_3 = 0) | ~ (all_89_4 = 0) | all_89_0 = % 58.91/8.80 | | | | | | | | | | | | | | | 0 | all_89_5 = 0 % 58.91/8.80 | | | | | | | | | | | | | | | % 58.91/8.80 | | | | | | | | | | | | | | | BETA: splitting (566) gives: % 58.91/8.80 | | | | | | | | | | | | | | | % 58.91/8.80 | | | | | | | | | | | | | | | Case 1: % 58.91/8.80 | | | | | | | | | | | | | | | | % 58.91/8.80 | | | | | | | | | | | | | | | | (567) ~ (all_89_3 = 0) % 58.91/8.80 | | | | | | | | | | | | | | | | % 58.91/8.80 | | | | | | | | | | | | | | | | REDUCE: (536), (567) imply: % 58.91/8.80 | | | | | | | | | | | | | | | | (568) $false % 58.91/8.80 | | | | | | | | | | | | | | | | % 58.91/8.80 | | | | | | | | | | | | | | | | CLOSE: (568) is inconsistent. % 58.91/8.80 | | | | | | | | | | | | | | | | % 58.91/8.80 | | | | | | | | | | | | | | | Case 2: % 58.91/8.80 | | | | | | | | | | | | | | | | % 58.91/8.80 | | | | | | | | | | | | | | | | (569) ~ (all_89_4 = 0) | all_89_0 = 0 | all_89_5 = 0 % 58.91/8.80 | | | | | | | | | | | | | | | | % 58.91/8.80 | | | | | | | | | | | | | | | | BETA: splitting (560) gives: % 58.91/8.80 | | | | | | | | | | | | | | | | % 58.91/8.80 | | | | | | | | | | | | | | | | Case 1: % 58.91/8.80 | | | | | | | | | | | | | | | | | % 58.91/8.80 | | | | | | | | | | | | | | | | | (570) ~ (all_87_2 = 0) % 58.91/8.80 | | | | | | | | | | | | | | | | | % 58.91/8.80 | | | | | | | | | | | | | | | | | REDUCE: (534), (570) imply: % 58.91/8.80 | | | | | | | | | | | | | | | | | (571) $false % 58.91/8.80 | | | | | | | | | | | | | | | | | % 58.91/8.80 | | | | | | | | | | | | | | | | | CLOSE: (571) is inconsistent. % 58.91/8.80 | | | | | | | | | | | | | | | | | % 58.91/8.80 | | | | | | | | | | | | | | | | Case 2: % 58.91/8.80 | | | | | | | | | | | | | | | | | % 58.91/8.80 | | | | | | | | | | | | | | | | | (572) ~ (all_87_3 = 0) | ~ (all_87_4 = 0) | all_87_0 = % 58.91/8.80 | | | | | | | | | | | | | | | | | 0 | all_87_5 = 0 % 58.91/8.80 | | | | | | | | | | | | | | | | | % 58.91/8.80 | | | | | | | | | | | | | | | | | BETA: splitting (572) gives: % 58.91/8.80 | | | | | | | | | | | | | | | | | % 58.91/8.80 | | | | | | | | | | | | | | | | | Case 1: % 58.91/8.80 | | | | | | | | | | | | | | | | | | % 58.91/8.80 | | | | | | | | | | | | | | | | | | (573) ~ (all_87_3 = 0) % 58.91/8.80 | | | | | | | | | | | | | | | | | | % 58.91/8.80 | | | | | | | | | | | | | | | | | | REDUCE: (533), (573) imply: % 58.91/8.80 | | | | | | | | | | | | | | | | | | (574) $false % 58.91/8.80 | | | | | | | | | | | | | | | | | | % 58.91/8.80 | | | | | | | | | | | | | | | | | | CLOSE: (574) is inconsistent. % 58.91/8.80 | | | | | | | | | | | | | | | | | | % 58.91/8.80 | | | | | | | | | | | | | | | | | Case 2: % 58.91/8.80 | | | | | | | | | | | | | | | | | | % 58.91/8.80 | | | | | | | | | | | | | | | | | | (575) ~ (all_87_4 = 0) | all_87_0 = 0 | all_87_5 = 0 % 58.91/8.80 | | | | | | | | | | | | | | | | | | % 58.91/8.80 | | | | | | | | | | | | | | | | | | BETA: splitting (575) gives: % 58.91/8.80 | | | | | | | | | | | | | | | | | | % 58.91/8.80 | | | | | | | | | | | | | | | | | | Case 1: % 58.91/8.80 | | | | | | | | | | | | | | | | | | | % 58.91/8.80 | | | | | | | | | | | | | | | | | | | (576) ~ (all_87_4 = 0) % 58.91/8.80 | | | | | | | | | | | | | | | | | | | % 58.91/8.80 | | | | | | | | | | | | | | | | | | | REDUCE: (532), (576) imply: % 58.91/8.80 | | | | | | | | | | | | | | | | | | | (577) $false % 58.91/8.80 | | | | | | | | | | | | | | | | | | | % 58.91/8.80 | | | | | | | | | | | | | | | | | | | CLOSE: (577) is inconsistent. % 58.91/8.80 | | | | | | | | | | | | | | | | | | | % 58.91/8.80 | | | | | | | | | | | | | | | | | | Case 2: % 58.91/8.80 | | | | | | | | | | | | | | | | | | | % 58.91/8.80 | | | | | | | | | | | | | | | | | | | (578) all_87_0 = 0 | all_87_5 = 0 % 58.91/8.80 | | | | | | | | | | | | | | | | | | | % 58.91/8.80 | | | | | | | | | | | | | | | | | | | BETA: splitting (569) gives: % 58.91/8.80 | | | | | | | | | | | | | | | | | | | % 58.91/8.80 | | | | | | | | | | | | | | | | | | | Case 1: % 58.91/8.80 | | | | | | | | | | | | | | | | | | | | % 58.91/8.80 | | | | | | | | | | | | | | | | | | | | (579) ~ (all_89_4 = 0) % 58.91/8.80 | | | | | | | | | | | | | | | | | | | | % 58.91/8.80 | | | | | | | | | | | | | | | | | | | | REDUCE: (535), (579) imply: % 58.91/8.80 | | | | | | | | | | | | | | | | | | | | (580) $false % 58.91/8.80 | | | | | | | | | | | | | | | | | | | | % 58.91/8.80 | | | | | | | | | | | | | | | | | | | | CLOSE: (580) is inconsistent. % 58.91/8.80 | | | | | | | | | | | | | | | | | | | | % 58.91/8.80 | | | | | | | | | | | | | | | | | | | Case 2: % 58.91/8.80 | | | | | | | | | | | | | | | | | | | | % 58.91/8.80 | | | | | | | | | | | | | | | | | | | | (581) all_89_0 = 0 | all_89_5 = 0 % 58.91/8.80 | | | | | | | | | | | | | | | | | | | | % 58.91/8.80 | | | | | | | | | | | | | | | | | | | | BETA: splitting (578) gives: % 58.91/8.80 | | | | | | | | | | | | | | | | | | | | % 58.91/8.80 | | | | | | | | | | | | | | | | | | | | Case 1: % 58.91/8.80 | | | | | | | | | | | | | | | | | | | | | % 58.91/8.80 | | | | | | | | | | | | | | | | | | | | | (582) all_87_0 = 0 % 58.91/8.80 | | | | | | | | | | | | | | | | | | | | | % 58.91/8.80 | | | | | | | | | | | | | | | | | | | | | REDUCE: (179), (582) imply: % 58.91/8.80 | | | | | | | | | | | | | | | | | | | | | (583) below_refl(all_45_8, all_45_4, all_45_4) = 0 % 58.91/8.80 | | | | | | | | | | | | | | | | | | | | | % 58.91/8.80 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (581) gives: % 58.91/8.80 | | | | | | | | | | | | | | | | | | | | | % 58.91/8.80 | | | | | | | | | | | | | | | | | | | | | Case 1: % 58.91/8.80 | | | | | | | | | | | | | | | | | | | | | | % 58.91/8.80 | | | | | | | | | | | | | | | | | | | | | | (584) all_89_0 = 0 % 58.91/8.81 | | | | | | | | | | | | | | | | | | | | | | % 58.91/8.81 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (187), (584) imply: % 58.91/8.81 | | | | | | | | | | | | | | | | | | | | | | (585) below_refl(all_45_8, all_45_3, all_45_3) = 0 % 58.91/8.81 | | | | | | | | | | | | | | | | | | | | | | % 58.91/8.81 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (41) with 0, all_166_2, all_45_8, % 58.91/8.81 | | | | | | | | | | | | | | | | | | | | | | simplifying with (70), (542) gives: % 58.91/8.81 | | | | | | | | | | | | | | | | | | | | | | (586) all_166_2 = 0 % 58.91/8.81 | | | | | | | | | | | | | | | | | | | | | | % 58.91/8.81 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (42) with 0, all_166_3, all_45_8, % 58.91/8.81 | | | | | | | | | | | | | | | | | | | | | | simplifying with (71), (543) gives: % 58.91/8.81 | | | | | | | | | | | | | | | | | | | | | | (587) all_166_3 = 0 % 58.91/8.81 | | | | | | | | | | | | | | | | | | | | | | % 58.91/8.81 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (44) with all_45_5, all_166_0, % 58.91/8.81 | | | | | | | | | | | | | | | | | | | | | | all_45_8, simplifying with (544), (557) gives: % 58.91/8.81 | | | | | | | | | | | | | | | | | | | | | | (588) all_166_0 = all_45_5 % 58.91/8.81 | | | | | | | | | | | | | | | | | | | | | | % 58.91/8.81 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (48) with 0, all_103_2, all_45_6, % 58.91/8.81 | | | | | | | | | | | | | | | | | | | | | | all_45_4, simplifying with (73), (517) gives: % 58.91/8.81 | | | | | | | | | | | | | | | | | | | | | | (589) all_103_2 = 0 % 58.91/8.81 | | | | | | | | | | | | | | | | | | | | | | % 58.91/8.81 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (48) with 0, all_103_1, all_45_6, % 58.91/8.81 | | | | | | | | | | | | | | | | | | | | | | all_45_3, simplifying with (74), (516) gives: % 58.91/8.81 | | | | | | | | | | | | | | | | | | | | | | (590) all_103_1 = 0 % 58.91/8.81 | | | | | | | | | | | | | | | | | | | | | | % 58.91/8.81 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (45) with all_55_1, all_114_0, % 58.91/8.81 | | | | | | | | | | | | | | | | | | | | | | all_45_6, simplifying with (114), (515) gives: % 58.91/8.81 | | | | | | | | | | | | | | | | | | | | | | (591) all_114_0 = all_55_1 % 58.91/8.81 | | | | | | | | | | | | | | | | | | | | | | % 58.91/8.81 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (3) with all_37_0, all_93_1, % 58.91/8.81 | | | | | | | | | | | | | | | | | | | | | | simplifying with (55), (196) gives: % 58.91/8.81 | | | | | | | | | | | | | | | | | | | | | | (592) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? % 58.91/8.81 | | | | | | | | | | | | | | | | | | | | | | [v3: any] : ? [v4: any] : ? [v5: any] : ? [v6: % 58.91/8.81 | | | | | | | | | | | | | | | | | | | | | | any] : ? [v7: any] : (lattice(all_37_0) = v2 & % 58.91/8.81 | | | | | | | | | | | | | | | | | | | | | | latt_str(all_37_0) = v0 & % 58.91/8.81 | | | | | | | | | | | | | | | | | | | | | | empty_carrier(all_37_0) = v1 & % 58.91/8.81 | | | | | | | | | | | | | | | | | | | | | | join_commutative(all_37_0) = v3 & % 58.91/8.81 | | | | | | | | | | | | | | | | | | | | | | join_associative(all_37_0) = v4 & % 58.91/8.81 | | | | | | | | | | | | | | | | | | | | | | meet_commutative(all_37_0) = v5 & % 58.91/8.81 | | | | | | | | | | | | | | | | | | | | | | meet_associative(all_37_0) = v6 & % 58.91/8.81 | | | | | | | | | | | | | | | | | | | | | | meet_absorbing(all_37_0) = v7 & ( ~ (v2 = 0) | % 58.91/8.81 | | | | | | | | | | | | | | | | | | | | | | ~ (v0 = 0) | v1 = 0 | (v7 = 0 & v6 = 0 & v5 = % 58.91/8.81 | | | | | | | | | | | | | | | | | | | | | | 0 & v4 = 0 & v3 = 0 & all_93_1 = 0))) % 58.91/8.81 | | | | | | | | | | | | | | | | | | | | | | % 58.91/8.81 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_37_0, all_93_2, % 58.91/8.81 | | | | | | | | | | | | | | | | | | | | | | simplifying with (55), (197) gives: % 58.91/8.81 | | | | | | | | | | | | | | | | | | | | | | (593) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? % 58.91/8.81 | | | | | | | | | | | | | | | | | | | | | | [v3: any] : ? [v4: any] : ? [v5: any] : ? [v6: % 58.91/8.81 | | | | | | | | | | | | | | | | | | | | | | any] : ? [v7: any] : (lattice(all_37_0) = v2 & % 58.91/8.81 | | | | | | | | | | | | | | | | | | | | | | latt_str(all_37_0) = v0 & % 58.91/8.81 | | | | | | | | | | | | | | | | | | | | | | empty_carrier(all_37_0) = v1 & % 58.91/8.81 | | | | | | | | | | | | | | | | | | | | | | join_commutative(all_37_0) = v3 & % 58.91/8.81 | | | | | | | | | | | | | | | | | | | | | | join_associative(all_37_0) = v4 & % 58.91/8.81 | | | | | | | | | | | | | | | | | | | | | | meet_commutative(all_37_0) = v5 & % 58.91/8.81 | | | | | | | | | | | | | | | | | | | | | | meet_associative(all_37_0) = v6 & % 58.91/8.81 | | | | | | | | | | | | | | | | | | | | | | join_absorbing(all_37_0) = v7 & ( ~ (v2 = 0) | % 58.91/8.81 | | | | | | | | | | | | | | | | | | | | | | ~ (v0 = 0) | v1 = 0 | (v7 = 0 & v6 = 0 & v5 = % 58.91/8.81 | | | | | | | | | | | | | | | | | | | | | | 0 & v4 = 0 & v3 = 0 & all_93_2 = 0))) % 58.91/8.81 | | | | | | | | | | | | | | | | | | | | | | % 58.91/8.81 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (5) with all_37_0, all_93_3, % 58.91/8.81 | | | | | | | | | | | | | | | | | | | | | | simplifying with (55), (198) gives: % 58.91/8.81 | | | | | | | | | | | | | | | | | | | | | | (594) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? % 58.91/8.81 | | | | | | | | | | | | | | | | | | | | | | [v3: any] : ? [v4: any] : ? [v5: any] : ? [v6: % 58.91/8.81 | | | | | | | | | | | | | | | | | | | | | | any] : ? [v7: any] : (lattice(all_37_0) = v2 & % 58.91/8.81 | | | | | | | | | | | | | | | | | | | | | | latt_str(all_37_0) = v0 & % 58.91/8.81 | | | | | | | | | | | | | | | | | | | | | | empty_carrier(all_37_0) = v1 & % 58.91/8.81 | | | | | | | | | | | | | | | | | | | | | | join_commutative(all_37_0) = v3 & % 58.91/8.81 | | | | | | | | | | | | | | | | | | | | | | join_associative(all_37_0) = v4 & % 58.91/8.81 | | | | | | | | | | | | | | | | | | | | | | meet_commutative(all_37_0) = v5 & % 58.91/8.81 | | | | | | | | | | | | | | | | | | | | | | meet_absorbing(all_37_0) = v6 & % 58.91/8.81 | | | | | | | | | | | | | | | | | | | | | | join_absorbing(all_37_0) = v7 & ( ~ (v2 = 0) | % 58.91/8.81 | | | | | | | | | | | | | | | | | | | | | | ~ (v0 = 0) | v1 = 0 | (v7 = 0 & v6 = 0 & v5 = % 58.91/8.81 | | | | | | | | | | | | | | | | | | | | | | 0 & v4 = 0 & v3 = 0 & all_93_3 = 0))) % 58.91/8.81 | | | | | | | | | | | | | | | | | | | | | | % 58.91/8.81 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (6) with all_37_0, all_93_4, % 58.91/8.81 | | | | | | | | | | | | | | | | | | | | | | simplifying with (55), (199) gives: % 58.91/8.81 | | | | | | | | | | | | | | | | | | | | | | (595) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? % 58.91/8.81 | | | | | | | | | | | | | | | | | | | | | | [v3: any] : ? [v4: any] : ? [v5: any] : ? [v6: % 58.91/8.81 | | | | | | | | | | | | | | | | | | | | | | any] : ? [v7: any] : (lattice(all_37_0) = v2 & % 58.91/8.81 | | | | | | | | | | | | | | | | | | | | | | latt_str(all_37_0) = v0 & % 58.91/8.81 | | | | | | | | | | | | | | | | | | | | | | empty_carrier(all_37_0) = v1 & % 58.91/8.81 | | | | | | | | | | | | | | | | | | | | | | join_commutative(all_37_0) = v3 & % 58.91/8.81 | | | | | | | | | | | | | | | | | | | | | | join_associative(all_37_0) = v4 & % 58.91/8.81 | | | | | | | | | | | | | | | | | | | | | | meet_associative(all_37_0) = v5 & % 58.91/8.81 | | | | | | | | | | | | | | | | | | | | | | meet_absorbing(all_37_0) = v6 & % 58.91/8.81 | | | | | | | | | | | | | | | | | | | | | | join_absorbing(all_37_0) = v7 & ( ~ (v2 = 0) | % 58.91/8.81 | | | | | | | | | | | | | | | | | | | | | | ~ (v0 = 0) | v1 = 0 | (v7 = 0 & v6 = 0 & v5 = % 58.91/8.81 | | | | | | | | | | | | | | | | | | | | | | 0 & v4 = 0 & v3 = 0 & all_93_4 = 0))) % 58.91/8.81 | | | | | | | | | | | | | | | | | | | | | | % 58.91/8.81 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (7) with all_37_0, all_93_5, % 58.91/8.81 | | | | | | | | | | | | | | | | | | | | | | simplifying with (55), (200) gives: % 58.91/8.81 | | | | | | | | | | | | | | | | | | | | | | (596) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? % 58.91/8.81 | | | | | | | | | | | | | | | | | | | | | | [v3: any] : ? [v4: any] : ? [v5: any] : ? [v6: % 58.91/8.81 | | | | | | | | | | | | | | | | | | | | | | any] : ? [v7: any] : (lattice(all_37_0) = v2 & % 58.91/8.81 | | | | | | | | | | | | | | | | | | | | | | latt_str(all_37_0) = v0 & % 58.91/8.81 | | | | | | | | | | | | | | | | | | | | | | empty_carrier(all_37_0) = v1 & % 58.91/8.81 | | | | | | | | | | | | | | | | | | | | | | join_commutative(all_37_0) = v3 & % 58.91/8.81 | | | | | | | | | | | | | | | | | | | | | | meet_commutative(all_37_0) = v4 & % 58.91/8.81 | | | | | | | | | | | | | | | | | | | | | | meet_associative(all_37_0) = v5 & % 58.91/8.81 | | | | | | | | | | | | | | | | | | | | | | meet_absorbing(all_37_0) = v6 & % 58.91/8.81 | | | | | | | | | | | | | | | | | | | | | | join_absorbing(all_37_0) = v7 & ( ~ (v2 = 0) | % 58.91/8.81 | | | | | | | | | | | | | | | | | | | | | | ~ (v0 = 0) | v1 = 0 | (v7 = 0 & v6 = 0 & v5 = % 58.91/8.81 | | | | | | | | | | | | | | | | | | | | | | 0 & v4 = 0 & v3 = 0 & all_93_5 = 0))) % 58.91/8.81 | | | | | | | | | | | | | | | | | | | | | | % 58.91/8.81 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (8) with all_37_0, all_93_6, % 58.91/8.81 | | | | | | | | | | | | | | | | | | | | | | simplifying with (55), (201) gives: % 58.91/8.81 | | | | | | | | | | | | | | | | | | | | | | (597) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? % 58.91/8.81 | | | | | | | | | | | | | | | | | | | | | | [v3: any] : ? [v4: any] : ? [v5: any] : ? [v6: % 58.91/8.81 | | | | | | | | | | | | | | | | | | | | | | any] : ? [v7: any] : (lattice(all_37_0) = v2 & % 58.91/8.81 | | | | | | | | | | | | | | | | | | | | | | latt_str(all_37_0) = v0 & % 58.91/8.81 | | | | | | | | | | | | | | | | | | | | | | empty_carrier(all_37_0) = v1 & % 58.91/8.81 | | | | | | | | | | | | | | | | | | | | | | join_associative(all_37_0) = v3 & % 58.91/8.81 | | | | | | | | | | | | | | | | | | | | | | meet_commutative(all_37_0) = v4 & % 58.91/8.81 | | | | | | | | | | | | | | | | | | | | | | meet_associative(all_37_0) = v5 & % 58.91/8.81 | | | | | | | | | | | | | | | | | | | | | | meet_absorbing(all_37_0) = v6 & % 58.91/8.81 | | | | | | | | | | | | | | | | | | | | | | join_absorbing(all_37_0) = v7 & ( ~ (v2 = 0) | % 58.91/8.81 | | | | | | | | | | | | | | | | | | | | | | ~ (v0 = 0) | v1 = 0 | (v7 = 0 & v6 = 0 & v5 = % 58.91/8.81 | | | | | | | | | | | | | | | | | | | | | | 0 & v4 = 0 & v3 = 0 & all_93_6 = 0))) % 58.91/8.81 | | | | | | | | | | | | | | | | | | | | | | % 58.91/8.81 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (9) with all_33_0, all_65_2, % 58.91/8.81 | | | | | | | | | | | | | | | | | | | | | | simplifying with (52), (122) gives: % 58.91/8.81 | | | | | | | | | | | | | | | | | | | | | | (598) all_65_2 = 0 | ? [v0: any] : ? [v1: any] : ? % 58.91/8.81 | | | | | | | | | | | | | | | | | | | | | | [v2: any] : ? [v3: any] : ? [v4: any] : ? [v5: % 58.91/8.81 | | | | | | | | | | | | | | | | | | | | | | any] : ? [v6: any] : ? [v7: any] : % 58.91/8.81 | | | | | | | | | | | | | | | | | | | | | | (lattice(all_33_0) = v1 & latt_str(all_33_0) = v0 % 58.91/8.81 | | | | | | | | | | | | | | | | | | | | | | & join_commutative(all_33_0) = v2 & % 58.91/8.81 | | | | | | | | | | | | | | | | | | | | | | join_associative(all_33_0) = v3 & % 58.91/8.81 | | | | | | | | | | | | | | | | | | | | | | meet_commutative(all_33_0) = v4 & % 58.91/8.81 | | | | | | | | | | | | | | | | | | | | | | meet_associative(all_33_0) = v5 & % 58.91/8.81 | | | | | | | | | | | | | | | | | | | | | | meet_absorbing(all_33_0) = v6 & % 58.91/8.81 | | | | | | | | | | | | | | | | | | | | | | join_absorbing(all_33_0) = v7 & ( ~ (v1 = 0) | % 58.91/8.81 | | | | | | | | | | | | | | | | | | | | | | ~ (v0 = 0) | (v7 = 0 & v6 = 0 & v5 = 0 & v4 = % 58.91/8.81 | | | | | | | | | | | | | | | | | | | | | | 0 & v3 = 0 & v2 = 0))) % 58.91/8.81 | | | | | | | | | | | | | | | | | | | | | | % 58.91/8.81 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (17) with all_33_0, all_65_2, % 58.91/8.81 | | | | | | | | | | | | | | | | | | | | | | simplifying with (52), (122) gives: % 58.91/8.81 | | | | | | | | | | | | | | | | | | | | | | (599) all_65_2 = 0 | ? [v0: any] : ? [v1: any] : ? % 58.91/8.81 | | | | | | | | | | | | | | | | | | | | | | [v2: $i] : ? [v3: $i] : (a_1_0_filter_1(all_33_0) % 58.91/8.81 | | | | | | | | | | | | | | | | | | | | | | = v3 & relation_of_lattice(all_33_0) = v2 & % 58.91/8.81 | | | | | | | | | | | | | | | | | | | | | | lattice(all_33_0) = v0 & latt_str(all_33_0) = v1 % 58.91/8.81 | | | | | | | | | | | | | | | | | | | | | | & $i(v3) & $i(v2) & ( ~ (v1 = 0) | ~ (v0 = 0) | % 58.91/8.81 | | | | | | | | | | | | | | | | | | | | | | v3 = v2)) % 58.91/8.81 | | | | | | | | | | | | | | | | | | | | | | % 58.91/8.81 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (9) with all_37_0, all_75_3, % 58.91/8.81 | | | | | | | | | | | | | | | | | | | | | | simplifying with (55), (140) gives: % 58.91/8.81 | | | | | | | | | | | | | | | | | | | | | | (600) all_75_3 = 0 | ? [v0: any] : ? [v1: any] : ? % 58.91/8.81 | | | | | | | | | | | | | | | | | | | | | | [v2: any] : ? [v3: any] : ? [v4: any] : ? [v5: % 58.91/8.81 | | | | | | | | | | | | | | | | | | | | | | any] : ? [v6: any] : ? [v7: any] : % 58.91/8.81 | | | | | | | | | | | | | | | | | | | | | | (lattice(all_37_0) = v1 & latt_str(all_37_0) = v0 % 58.91/8.81 | | | | | | | | | | | | | | | | | | | | | | & join_commutative(all_37_0) = v2 & % 58.91/8.81 | | | | | | | | | | | | | | | | | | | | | | join_associative(all_37_0) = v3 & % 58.91/8.81 | | | | | | | | | | | | | | | | | | | | | | meet_commutative(all_37_0) = v4 & % 58.91/8.81 | | | | | | | | | | | | | | | | | | | | | | meet_associative(all_37_0) = v5 & % 58.91/8.81 | | | | | | | | | | | | | | | | | | | | | | meet_absorbing(all_37_0) = v6 & % 58.91/8.81 | | | | | | | | | | | | | | | | | | | | | | join_absorbing(all_37_0) = v7 & ( ~ (v1 = 0) | % 58.91/8.81 | | | | | | | | | | | | | | | | | | | | | | ~ (v0 = 0) | (v7 = 0 & v6 = 0 & v5 = 0 & v4 = % 58.91/8.81 | | | | | | | | | | | | | | | | | | | | | | 0 & v3 = 0 & v2 = 0))) % 58.91/8.81 | | | | | | | | | | | | | | | | | | | | | | % 58.91/8.81 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (21) with all_37_0, all_75_3, % 58.91/8.81 | | | | | | | | | | | | | | | | | | | | | | simplifying with (55), (140) gives: % 58.91/8.81 | | | | | | | | | | | | | | | | | | | | | | (601) all_75_3 = 0 | ? [v0: any] : ? [v1: any] : ? % 58.91/8.81 | | | | | | | | | | | | | | | | | | | | | | [v2: $i] : ? [v3: any] : (relation(v2) = v3 & % 58.91/8.81 | | | | | | | | | | | | | | | | | | | | | | relation_of_lattice(all_37_0) = v2 & % 58.91/8.81 | | | | | | | | | | | | | | | | | | | | | | lattice(all_37_0) = v0 & latt_str(all_37_0) = v1 % 58.91/8.81 | | | | | | | | | | | | | | | | | | | | | | & $i(v2) & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = 0)) % 58.91/8.81 | | | | | | | | | | | | | | | | | | | | | | % 58.91/8.81 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (17) with all_37_0, all_75_3, % 58.91/8.81 | | | | | | | | | | | | | | | | | | | | | | simplifying with (55), (140) gives: % 58.91/8.81 | | | | | | | | | | | | | | | | | | | | | | (602) all_75_3 = 0 | ? [v0: any] : ? [v1: any] : ? % 58.91/8.81 | | | | | | | | | | | | | | | | | | | | | | [v2: $i] : ? [v3: $i] : (a_1_0_filter_1(all_37_0) % 58.91/8.81 | | | | | | | | | | | | | | | | | | | | | | = v3 & relation_of_lattice(all_37_0) = v2 & % 58.91/8.81 | | | | | | | | | | | | | | | | | | | | | | lattice(all_37_0) = v0 & latt_str(all_37_0) = v1 % 58.91/8.81 | | | | | | | | | | | | | | | | | | | | | | & $i(v3) & $i(v2) & ( ~ (v1 = 0) | ~ (v0 = 0) | % 58.91/8.81 | | | | | | | | | | | | | | | | | | | | | | v3 = v2)) % 58.91/8.81 | | | | | | | | | | | | | | | | | | | | | | % 58.91/8.81 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (27) with all_37_0, all_75_3, % 58.91/8.81 | | | | | | | | | | | | | | | | | | | | | | simplifying with (55), (140) gives: % 58.91/8.81 | | | | | | | | | | | | | | | | | | | | | | (603) all_75_3 = 0 | ? [v0: any] : ? [v1: $i] : ? % 58.91/8.81 | | | | | | | | | | | | | | | | | | | | | | [v2: any] : (the_carrier(all_37_0) = v1 & % 58.91/8.81 | | | | | | | | | | | | | | | | | | | | | | one_sorted_str(all_37_0) = v0 & empty(v1) = v2 & % 58.91/8.81 | | | | | | | | | | | | | | | | | | | | | | $i(v1) & ( ~ (v2 = 0) | ~ (v0 = 0))) % 58.91/8.81 | | | | | | | | | | | | | | | | | | | | | | % 58.91/8.81 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (11) with all_37_0, all_75_2, % 58.91/8.81 | | | | | | | | | | | | | | | | | | | | | | simplifying with (55), (141) gives: % 58.91/8.81 | | | | | | | | | | | | | | | | | | | | | | (604) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? % 58.91/8.81 | | | | | | | | | | | | | | | | | | | | | | [v3: any] : ? [v4: any] : ? [v5: any] : ? [v6: % 58.91/8.81 | | | | | | | | | | | | | | | | | | | | | | any] : ? [v7: any] : (latt_str(all_37_0) = v0 & % 58.91/8.81 | | | | | | | | | | | | | | | | | | | | | | empty_carrier(all_37_0) = v1 & % 58.91/8.81 | | | | | | | | | | | | | | | | | | | | | | join_commutative(all_37_0) = v2 & % 58.91/8.81 | | | | | | | | | | | | | | | | | | | | | | join_associative(all_37_0) = v3 & % 58.91/8.81 | | | | | | | | | | | | | | | | | | | | | | meet_commutative(all_37_0) = v4 & % 58.91/8.81 | | | | | | | | | | | | | | | | | | | | | | meet_associative(all_37_0) = v5 & % 58.91/8.81 | | | | | | | | | | | | | | | | | | | | | | meet_absorbing(all_37_0) = v6 & % 58.91/8.81 | | | | | | | | | | | | | | | | | | | | | | join_absorbing(all_37_0) = v7 & ( ~ (v7 = 0) | % 58.91/8.81 | | | | | | | | | | | | | | | | | | | | | | ~ (v6 = 0) | ~ (v5 = 0) | ~ (v4 = 0) | ~ % 58.91/8.81 | | | | | | | | | | | | | | | | | | | | | | (v3 = 0) | ~ (v2 = 0) | ~ (v0 = 0) | v1 = 0 % 58.91/8.81 | | | | | | | | | | | | | | | | | | | | | | | all_75_2 = 0)) % 58.91/8.81 | | | | | | | | | | | | | | | | | | | | | | % 58.91/8.81 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (20) with all_37_0, all_75_1, % 58.91/8.81 | | | | | | | | | | | | | | | | | | | | | | simplifying with (55), (142) gives: % 58.91/8.81 | | | | | | | | | | | | | | | | | | | | | | (605) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? % 58.91/8.81 | | | | | | | | | | | | | | | | | | | | | | [v3: any] : (relation(all_75_1) = v3 & % 58.91/8.81 | | | | | | | | | | | | | | | | | | | | | | lattice(all_37_0) = v1 & latt_str(all_37_0) = v2 % 58.91/8.81 | | | | | | | | | | | | | | | | | | | | | | & empty_carrier(all_37_0) = v0 & ( ~ (v2 = 0) | % 58.91/8.81 | | | | | | | | | | | | | | | | | | | | | | ~ (v1 = 0) | v3 = 0 | v0 = 0)) % 58.91/8.81 | | | | | | | | | | | | | | | | | | | | | | % 58.91/8.81 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (15) with all_37_0, all_75_1, % 58.91/8.81 | | | | | | | | | | | | | | | | | | | | | | simplifying with (55), (142) gives: % 58.91/8.81 | | | | | | | | | | | | | | | | | | | | | | (606) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? % 58.91/8.81 | | | | | | | | | | | | | | | | | | | | | | [v3: $i] : (a_1_0_filter_1(all_37_0) = v3 & % 58.91/8.81 | | | | | | | | | | | | | | | | | | | | | | lattice(all_37_0) = v1 & latt_str(all_37_0) = v2 % 58.91/8.81 | | | | | | | | | | | | | | | | | | | | | | & empty_carrier(all_37_0) = v0 & $i(v3) & ( ~ % 58.91/8.81 | | | | | | | | | | | | | | | | | | | | | | (v2 = 0) | ~ (v1 = 0) | v3 = all_75_1 | v0 = % 58.91/8.81 | | | | | | | | | | | | | | | | | | | | | | 0)) % 58.91/8.81 | | | | | | | | | | | | | | | | | | | | | | % 58.91/8.81 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (16) with all_37_0, all_81_0, % 58.91/8.81 | | | | | | | | | | | | | | | | | | | | | | simplifying with (55), (159) gives: % 58.91/8.81 | | | | | | | | | | | | | | | | | | | | | | (607) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? % 58.91/8.81 | | | | | | | | | | | | | | | | | | | | | | [v3: $i] : (relation_of_lattice(all_37_0) = v3 & % 58.91/8.81 | | | | | | | | | | | | | | | | | | | | | | lattice(all_37_0) = v1 & latt_str(all_37_0) = v2 % 58.91/8.81 | | | | | | | | | | | | | | | | | | | | | | & empty_carrier(all_37_0) = v0 & $i(v3) & ( ~ % 58.91/8.81 | | | | | | | | | | | | | | | | | | | | | | (v2 = 0) | ~ (v1 = 0) | v3 = all_81_0 | v0 = % 58.91/8.81 | | | | | | | | | | | | | | | | | | | | | | 0)) % 58.91/8.81 | | | | | | | | | | | | | | | | | | | | | | % 58.91/8.81 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (fraenkel_a_1_0_filter_1) with % 58.91/8.81 | | | | | | | | | | | | | | | | | | | | | | all_45_2, all_45_8, all_45_5, all_45_1, % 58.91/8.81 | | | | | | | | | | | | | | | | | | | | | | simplifying with (63), (67), (68), (557) gives: % 58.91/8.81 | | | | | | | | | | | | | | | | | | | | | | (608) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? % 58.91/8.81 | | | | | | | | | | | | | | | | | | | | | | [v3: $i] : ? [v4: $i] : ? [v5: $i] : ? [v6: % 58.91/8.81 | | | | | | | | | | | | | | | | | | | | | | int] : ? [v7: int] : ? [v8: int] : ? [v9: % 58.91/8.81 | | | | | | | | | | | | | | | | | | | | | | int] : (the_carrier(all_45_8) = v3 & % 58.91/8.81 | | | | | | | | | | | | | | | | | | | | | | lattice(all_45_8) = v1 & latt_str(all_45_8) = v2 % 58.91/8.81 | | | | | | | | | | | | | | | | | | | | | | & empty_carrier(all_45_8) = v0 & $i(v5) & $i(v4) % 58.91/8.81 | | | | | | | | | | | | | | | | | | | | | | & $i(v3) & ( ~ (v2 = 0) | ~ (v1 = 0) | v0 = 0 | % 58.91/8.81 | | | | | | | | | | | | | | | | | | | | | | (( ~ (all_45_1 = 0) | (v9 = 0 & v8 = all_45_2 % 58.91/8.81 | | | | | | | | | | | | | | | | | | | | | | & v7 = 0 & v6 = 0 & below_refl(all_45_8, % 58.91/8.81 | | | | | | | | | | | | | | | | | | | | | | v4, v5) = 0 & % 58.91/8.81 | | | | | | | | | | | | | | | | | | | | | | ordered_pair_as_product_element(v3, v3, % 58.91/8.81 | | | | | | | | | | | | | | | | | | | | | | v4, v5) = all_45_2 & element(v5, v3) = % 58.91/8.81 | | | | | | | | | | | | | | | | | | | | | | 0 & element(v4, v3) = 0)) & (all_45_1 = % 58.91/8.81 | | | | | | | | | | | | | | | | | | | | | | 0 | ( ! [v10: $i] : ! [v11: $i] : ( ~ % 58.91/8.81 | | | | | | | | | | | | | | | | | | | | | | (below_refl(all_45_8, v10, v11) = 0) | % 58.91/8.81 | | | | | | | | | | | | | | | | | | | | | | ~ $i(v11) | ~ $i(v10) | ? [v12: % 58.91/8.81 | | | | | | | | | | | | | | | | | | | | | | any] : ? [v13: any] : ? [v14: $i] % 58.91/8.81 | | | | | | | | | | | | | | | | | | | | | | : (ordered_pair_as_product_element(v3, % 58.91/8.81 | | | | | | | | | | | | | | | | | | | | | | v3, v10, v11) = v14 & element(v11, % 58.91/8.81 | | | | | | | | | | | | | | | | | | | | | | v3) = v13 & element(v10, v3) = v12 % 58.91/8.81 | | | | | | | | | | | | | | | | | | | | | | & $i(v14) & ( ~ (v14 = all_45_2) | % 58.91/8.81 | | | | | | | | | | | | | | | | | | | | | | ~ (v13 = 0) | ~ (v12 = 0)))) & ! % 58.91/8.81 | | | | | | | | | | | | | | | | | | | | | | [v10: $i] : ! [v11: $i] : ( ~ % 58.91/8.81 | | | | | | | | | | | | | | | | | | | | | | (ordered_pair_as_product_element(v3, % 58.91/8.81 | | | | | | | | | | | | | | | | | | | | | | v3, v10, v11) = all_45_2) | ~ % 58.91/8.81 | | | | | | | | | | | | | | | | | | | | | | $i(v11) | ~ $i(v10) | ? [v12: any] : % 58.91/8.81 | | | | | | | | | | | | | | | | | | | | | | ? [v13: any] : ? [v14: any] : % 58.91/8.81 | | | | | | | | | | | | | | | | | | | | | | (below_refl(all_45_8, v10, v11) = v14 % 58.91/8.81 | | | | | | | | | | | | | | | | | | | | | | & element(v11, v3) = v13 & % 58.91/8.81 | | | | | | | | | | | | | | | | | | | | | | element(v10, v3) = v12 & ( ~ (v14 = % 58.91/8.81 | | | | | | | | | | | | | | | | | | | | | | 0) | ~ (v13 = 0) | ~ (v12 = % 58.91/8.81 | | | | | | | | | | | | | | | | | | | | | | 0))))))))) % 58.91/8.81 | | | | | | | | | | | | | | | | | | | | | | % 58.91/8.81 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (fc4_subset_1) with all_45_6, % 58.91/8.81 | | | | | | | | | | | | | | | | | | | | | | all_45_6, all_91_1, simplifying with (64), (192) % 58.91/8.81 | | | | | | | | | | | | | | | | | | | | | | gives: % 58.91/8.81 | | | | | | | | | | | | | | | | | | | | | | (609) ? [v0: any] : ? [v1: any] : ? [v2: any] : % 58.91/8.81 | | | | | | | | | | | | | | | | | | | | | | (empty(all_91_1) = v2 & empty(all_45_6) = v1 & % 58.91/8.81 | | | | | | | | | | | | | | | | | | | | | | empty(all_45_6) = v0 & ( ~ (v2 = 0) | v1 = 0 | % 58.91/8.81 | | | | | | | | | | | | | | | | | | | | | | v0 = 0)) % 58.91/8.82 | | | | | | | | | | | | | | | | | | | | | | % 58.91/8.82 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (22) with all_45_8, all_63_1, % 58.91/8.82 | | | | | | | | | | | | | | | | | | | | | | simplifying with (63), (120) gives: % 58.91/8.82 | | | | | | | | | | | | | | | | | | | | | | (610) all_63_1 = 0 | ? [v0: int] : ( ~ (v0 = 0) & % 58.91/8.82 | | | | | | | | | | | | | | | | | | | | | | meet_semilatt_str(all_45_8) = v0) % 58.91/8.82 | | | | | | | | | | | | | | | | | | | | | | % 58.91/8.82 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (23) with all_37_0, simplifying with % 58.91/8.82 | | | | | | | | | | | | | | | | | | | | | | (55), (91) gives: % 58.91/8.82 | | | | | | | | | | | | | | | | | | | | | | (611) one_sorted_str(all_37_0) = 0 % 58.91/8.82 | | | | | | | | | | | | | | | | | | | | | | % 58.91/8.82 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (23) with all_45_8, simplifying with % 58.91/8.82 | | | | | | | | | | | | | | | | | | | | | | (63), (97) gives: % 58.91/8.82 | | | | | | | | | | | | | | | | | | | | | | (612) one_sorted_str(all_45_8) = 0 % 58.91/8.82 | | | | | | | | | | | | | | | | | | | | | | % 58.91/8.82 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (28) with all_45_8, all_45_4, % 58.91/8.82 | | | | | | | | | | | | | | | | | | | | | | all_45_4, 0, simplifying with (63), (65), (583) % 58.91/8.82 | | | | | | | | | | | | | | | | | | | | | | gives: % 58.91/8.82 | | | | | | | | | | | | | | | | | | | | | | (613) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? % 58.91/8.82 | | | | | | | | | | | | | | | | | | | | | | [v3: any] : ? [v4: any] : ? [v5: $i] : ? [v6: % 58.91/8.82 | | | | | | | | | | | | | | | | | | | | | | any] : ? [v7: any] : ? [v8: any] : % 58.91/8.82 | | | | | | | | | | | | | | | | | | | | | | (below(all_45_8, all_45_4, all_45_4) = v8 & % 58.91/8.82 | | | | | | | | | | | | | | | | | | | | | | the_carrier(all_45_8) = v5 & element(all_45_4, % 58.91/8.82 | | | | | | | | | | | | | | | | | | | | | | v5) = v7 & element(all_45_4, v5) = v6 & % 58.91/8.82 | | | | | | | | | | | | | | | | | | | | | | latt_str(all_45_8) = v4 & % 58.91/8.82 | | | | | | | | | | | | | | | | | | | | | | empty_carrier(all_45_8) = v0 & % 58.91/8.82 | | | | | | | | | | | | | | | | | | | | | | meet_commutative(all_45_8) = v1 & % 58.91/8.82 | | | | | | | | | | | | | | | | | | | | | | meet_absorbing(all_45_8) = v2 & % 58.91/8.82 | | | | | | | | | | | | | | | | | | | | | | join_absorbing(all_45_8) = v3 & $i(v5) & ( ~ (v7 % 58.91/8.82 | | | | | | | | | | | | | | | | | | | | | | = 0) | ~ (v6 = 0) | ~ (v4 = 0) | ~ (v3 = % 58.91/8.82 | | | | | | | | | | | | | | | | | | | | | | 0) | ~ (v2 = 0) | ~ (v1 = 0) | v8 = 0 | v0 % 58.91/8.82 | | | | | | | | | | | | | | | | | | | | | | = 0)) % 58.91/8.82 | | | | | | | | | | | | | | | | | | | | | | % 58.91/8.82 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (28) with all_45_8, all_45_3, % 58.91/8.82 | | | | | | | | | | | | | | | | | | | | | | all_45_3, 0, simplifying with (63), (66), (585) % 58.91/8.82 | | | | | | | | | | | | | | | | | | | | | | gives: % 58.91/8.82 | | | | | | | | | | | | | | | | | | | | | | (614) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? % 58.91/8.82 | | | | | | | | | | | | | | | | | | | | | | [v3: any] : ? [v4: any] : ? [v5: $i] : ? [v6: % 58.91/8.82 | | | | | | | | | | | | | | | | | | | | | | any] : ? [v7: any] : ? [v8: any] : % 58.91/8.82 | | | | | | | | | | | | | | | | | | | | | | (below(all_45_8, all_45_3, all_45_3) = v8 & % 58.91/8.82 | | | | | | | | | | | | | | | | | | | | | | the_carrier(all_45_8) = v5 & element(all_45_3, % 58.91/8.82 | | | | | | | | | | | | | | | | | | | | | | v5) = v7 & element(all_45_3, v5) = v6 & % 58.91/8.82 | | | | | | | | | | | | | | | | | | | | | | latt_str(all_45_8) = v4 & % 58.91/8.82 | | | | | | | | | | | | | | | | | | | | | | empty_carrier(all_45_8) = v0 & % 58.91/8.82 | | | | | | | | | | | | | | | | | | | | | | meet_commutative(all_45_8) = v1 & % 58.91/8.82 | | | | | | | | | | | | | | | | | | | | | | meet_absorbing(all_45_8) = v2 & % 58.91/8.82 | | | | | | | | | | | | | | | | | | | | | | join_absorbing(all_45_8) = v3 & $i(v5) & ( ~ (v7 % 58.91/8.82 | | | | | | | | | | | | | | | | | | | | | | = 0) | ~ (v6 = 0) | ~ (v4 = 0) | ~ (v3 = % 58.91/8.82 | | | | | | | | | | | | | | | | | | | | | | 0) | ~ (v2 = 0) | ~ (v1 = 0) | v8 = 0 | v0 % 58.91/8.82 | | | | | | | | | | | | | | | | | | | | | | = 0)) % 58.91/8.82 | | | | | | | | | | | | | | | | | | | | | | % 58.91/8.82 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (29) with all_45_8, all_45_4, % 58.91/8.82 | | | | | | | | | | | | | | | | | | | | | | all_45_3, all_103_0, simplifying with (63), (65), % 58.91/8.82 | | | | | | | | | | | | | | | | | | | | | | (66), (242) gives: % 58.91/8.82 | | | | | | | | | | | | | | | | | | | | | | (615) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? % 58.91/8.82 | | | | | | | | | | | | | | | | | | | | | | [v3: any] : ? [v4: any] : ? [v5: $i] : ? [v6: % 58.91/8.82 | | | | | | | | | | | | | | | | | | | | | | any] : ? [v7: any] : ? [v8: any] : % 58.91/8.82 | | | | | | | | | | | | | | | | | | | | | | (below_refl(all_45_8, all_45_4, all_45_3) = v8 & % 58.91/8.82 | | | | | | | | | | | | | | | | | | | | | | the_carrier(all_45_8) = v5 & element(all_45_3, % 58.91/8.82 | | | | | | | | | | | | | | | | | | | | | | v5) = v7 & element(all_45_4, v5) = v6 & % 58.91/8.82 | | | | | | | | | | | | | | | | | | | | | | latt_str(all_45_8) = v4 & % 58.91/8.82 | | | | | | | | | | | | | | | | | | | | | | empty_carrier(all_45_8) = v0 & % 58.91/8.82 | | | | | | | | | | | | | | | | | | | | | | meet_commutative(all_45_8) = v1 & % 58.91/8.82 | | | | | | | | | | | | | | | | | | | | | | meet_absorbing(all_45_8) = v2 & % 58.91/8.82 | | | | | | | | | | | | | | | | | | | | | | join_absorbing(all_45_8) = v3 & $i(v5) & ( ~ (v7 % 58.91/8.82 | | | | | | | | | | | | | | | | | | | | | | = 0) | ~ (v6 = 0) | ~ (v4 = 0) | ~ (v3 = % 58.91/8.82 | | | | | | | | | | | | | | | | | | | | | | 0) | ~ (v2 = 0) | ~ (v1 = 0) | v0 = 0 | (( % 58.91/8.82 | | | | | | | | | | | | | | | | | | | | | | ~ (v8 = 0) | all_103_0 = 0) & ( ~ % 58.91/8.82 | | | | | | | | | | | | | | | | | | | | | | (all_103_0 = 0) | v8 = 0)))) % 58.91/8.82 | | | | | | | | | | | | | | | | | | | | | | % 58.91/8.82 | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (609) with fresh symbols all_268_0, % 58.91/8.82 | | | | | | | | | | | | | | | | | | | | | | all_268_1, all_268_2 gives: % 58.91/8.82 | | | | | | | | | | | | | | | | | | | | | | (616) empty(all_91_1) = all_268_0 & empty(all_45_6) = % 58.91/8.82 | | | | | | | | | | | | | | | | | | | | | | all_268_1 & empty(all_45_6) = all_268_2 & ( ~ % 58.91/8.82 | | | | | | | | | | | | | | | | | | | | | | (all_268_0 = 0) | all_268_1 = 0 | all_268_2 = 0) % 58.91/8.82 | | | | | | | | | | | | | | | | | | | | | | % 58.91/8.82 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (616) implies: % 58.91/8.82 | | | | | | | | | | | | | | | | | | | | | | (617) empty(all_45_6) = all_268_2 % 58.91/8.82 | | | | | | | | | | | | | | | | | | | | | | (618) empty(all_45_6) = all_268_1 % 58.91/8.82 | | | | | | | | | | | | | | | | | | | | | | % 58.91/8.82 | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (605) with fresh symbols all_278_0, % 58.91/8.82 | | | | | | | | | | | | | | | | | | | | | | all_278_1, all_278_2, all_278_3 gives: % 58.91/8.82 | | | | | | | | | | | | | | | | | | | | | | (619) relation(all_75_1) = all_278_0 & lattice(all_37_0) % 58.91/8.82 | | | | | | | | | | | | | | | | | | | | | | = all_278_2 & latt_str(all_37_0) = all_278_1 & % 58.91/8.82 | | | | | | | | | | | | | | | | | | | | | | empty_carrier(all_37_0) = all_278_3 & ( ~ % 58.91/8.82 | | | | | | | | | | | | | | | | | | | | | | (all_278_1 = 0) | ~ (all_278_2 = 0) | all_278_0 % 58.91/8.82 | | | | | | | | | | | | | | | | | | | | | | = 0 | all_278_3 = 0) % 58.91/8.82 | | | | | | | | | | | | | | | | | | | | | | % 58.91/8.82 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (619) implies: % 58.91/8.82 | | | | | | | | | | | | | | | | | | | | | | (620) empty_carrier(all_37_0) = all_278_3 % 58.91/8.82 | | | | | | | | | | | | | | | | | | | | | | (621) latt_str(all_37_0) = all_278_1 % 58.91/8.82 | | | | | | | | | | | | | | | | | | | | | | (622) lattice(all_37_0) = all_278_2 % 58.91/8.82 | | | | | | | | | | | | | | | | | | | | | | % 58.91/8.82 | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (606) with fresh symbols all_282_0, % 58.91/8.82 | | | | | | | | | | | | | | | | | | | | | | all_282_1, all_282_2, all_282_3 gives: % 58.91/8.82 | | | | | | | | | | | | | | | | | | | | | | (623) a_1_0_filter_1(all_37_0) = all_282_0 & % 58.91/8.82 | | | | | | | | | | | | | | | | | | | | | | lattice(all_37_0) = all_282_2 & latt_str(all_37_0) % 58.91/8.82 | | | | | | | | | | | | | | | | | | | | | | = all_282_1 & empty_carrier(all_37_0) = all_282_3 % 58.91/8.82 | | | | | | | | | | | | | | | | | | | | | | & $i(all_282_0) & ( ~ (all_282_1 = 0) | ~ % 58.91/8.82 | | | | | | | | | | | | | | | | | | | | | | (all_282_2 = 0) | all_282_0 = all_75_1 | % 58.91/8.82 | | | | | | | | | | | | | | | | | | | | | | all_282_3 = 0) % 58.91/8.82 | | | | | | | | | | | | | | | | | | | | | | % 58.91/8.82 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (623) implies: % 58.91/8.82 | | | | | | | | | | | | | | | | | | | | | | (624) empty_carrier(all_37_0) = all_282_3 % 58.91/8.82 | | | | | | | | | | | | | | | | | | | | | | (625) latt_str(all_37_0) = all_282_1 % 58.91/8.82 | | | | | | | | | | | | | | | | | | | | | | (626) lattice(all_37_0) = all_282_2 % 58.91/8.82 | | | | | | | | | | | | | | | | | | | | | | % 58.91/8.82 | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (607) with fresh symbols all_284_0, % 58.91/8.82 | | | | | | | | | | | | | | | | | | | | | | all_284_1, all_284_2, all_284_3 gives: % 58.91/8.82 | | | | | | | | | | | | | | | | | | | | | | (627) relation_of_lattice(all_37_0) = all_284_0 & % 58.91/8.82 | | | | | | | | | | | | | | | | | | | | | | lattice(all_37_0) = all_284_2 & latt_str(all_37_0) % 58.91/8.82 | | | | | | | | | | | | | | | | | | | | | | = all_284_1 & empty_carrier(all_37_0) = all_284_3 % 58.91/8.82 | | | | | | | | | | | | | | | | | | | | | | & $i(all_284_0) & ( ~ (all_284_1 = 0) | ~ % 58.91/8.82 | | | | | | | | | | | | | | | | | | | | | | (all_284_2 = 0) | all_284_0 = all_81_0 | % 58.91/8.82 | | | | | | | | | | | | | | | | | | | | | | all_284_3 = 0) % 58.91/8.82 | | | | | | | | | | | | | | | | | | | | | | % 58.91/8.82 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (627) implies: % 58.91/8.82 | | | | | | | | | | | | | | | | | | | | | | (628) empty_carrier(all_37_0) = all_284_3 % 58.91/8.82 | | | | | | | | | | | | | | | | | | | | | | (629) latt_str(all_37_0) = all_284_1 % 58.91/8.82 | | | | | | | | | | | | | | | | | | | | | | (630) lattice(all_37_0) = all_284_2 % 58.91/8.82 | | | | | | | | | | | | | | | | | | | | | | % 58.91/8.82 | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (604) with fresh symbols all_290_0, % 58.91/8.82 | | | | | | | | | | | | | | | | | | | | | | all_290_1, all_290_2, all_290_3, all_290_4, % 58.91/8.82 | | | | | | | | | | | | | | | | | | | | | | all_290_5, all_290_6, all_290_7 gives: % 58.91/8.82 | | | | | | | | | | | | | | | | | | | | | | (631) latt_str(all_37_0) = all_290_7 & % 58.91/8.82 | | | | | | | | | | | | | | | | | | | | | | empty_carrier(all_37_0) = all_290_6 & % 58.91/8.82 | | | | | | | | | | | | | | | | | | | | | | join_commutative(all_37_0) = all_290_5 & % 58.91/8.82 | | | | | | | | | | | | | | | | | | | | | | join_associative(all_37_0) = all_290_4 & % 58.91/8.82 | | | | | | | | | | | | | | | | | | | | | | meet_commutative(all_37_0) = all_290_3 & % 58.91/8.82 | | | | | | | | | | | | | | | | | | | | | | meet_associative(all_37_0) = all_290_2 & % 58.91/8.82 | | | | | | | | | | | | | | | | | | | | | | meet_absorbing(all_37_0) = all_290_1 & % 58.91/8.82 | | | | | | | | | | | | | | | | | | | | | | join_absorbing(all_37_0) = all_290_0 & ( ~ % 58.91/8.82 | | | | | | | | | | | | | | | | | | | | | | (all_290_0 = 0) | ~ (all_290_1 = 0) | ~ % 58.91/8.82 | | | | | | | | | | | | | | | | | | | | | | (all_290_2 = 0) | ~ (all_290_3 = 0) | ~ % 58.91/8.82 | | | | | | | | | | | | | | | | | | | | | | (all_290_4 = 0) | ~ (all_290_5 = 0) | ~ % 58.91/8.82 | | | | | | | | | | | | | | | | | | | | | | (all_290_7 = 0) | all_290_6 = 0 | all_75_2 = 0) % 58.91/8.82 | | | | | | | | | | | | | | | | | | | | | | % 58.91/8.82 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (631) implies: % 58.91/8.82 | | | | | | | | | | | | | | | | | | | | | | (632) empty_carrier(all_37_0) = all_290_6 % 58.91/8.82 | | | | | | | | | | | | | | | | | | | | | | (633) latt_str(all_37_0) = all_290_7 % 58.91/8.82 | | | | | | | | | | | | | | | | | | | | | | % 58.91/8.82 | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (597) with fresh symbols all_294_0, % 58.91/8.82 | | | | | | | | | | | | | | | | | | | | | | all_294_1, all_294_2, all_294_3, all_294_4, % 58.91/8.82 | | | | | | | | | | | | | | | | | | | | | | all_294_5, all_294_6, all_294_7 gives: % 58.91/8.82 | | | | | | | | | | | | | | | | | | | | | | (634) lattice(all_37_0) = all_294_5 & latt_str(all_37_0) % 58.91/8.82 | | | | | | | | | | | | | | | | | | | | | | = all_294_7 & empty_carrier(all_37_0) = all_294_6 % 58.91/8.82 | | | | | | | | | | | | | | | | | | | | | | & join_associative(all_37_0) = all_294_4 & % 58.91/8.82 | | | | | | | | | | | | | | | | | | | | | | meet_commutative(all_37_0) = all_294_3 & % 58.91/8.82 | | | | | | | | | | | | | | | | | | | | | | meet_associative(all_37_0) = all_294_2 & % 58.91/8.82 | | | | | | | | | | | | | | | | | | | | | | meet_absorbing(all_37_0) = all_294_1 & % 58.91/8.82 | | | | | | | | | | | | | | | | | | | | | | join_absorbing(all_37_0) = all_294_0 & ( ~ % 58.91/8.82 | | | | | | | | | | | | | | | | | | | | | | (all_294_5 = 0) | ~ (all_294_7 = 0) | all_294_6 % 58.91/8.82 | | | | | | | | | | | | | | | | | | | | | | = 0 | (all_294_0 = 0 & all_294_1 = 0 & all_294_2 % 58.91/8.82 | | | | | | | | | | | | | | | | | | | | | | = 0 & all_294_3 = 0 & all_294_4 = 0 & all_93_6 % 58.91/8.82 | | | | | | | | | | | | | | | | | | | | | | = 0)) % 58.91/8.82 | | | | | | | | | | | | | | | | | | | | | | % 58.91/8.82 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (634) implies: % 58.91/8.82 | | | | | | | | | | | | | | | | | | | | | | (635) empty_carrier(all_37_0) = all_294_6 % 58.91/8.82 | | | | | | | | | | | | | | | | | | | | | | (636) latt_str(all_37_0) = all_294_7 % 58.91/8.82 | | | | | | | | | | | | | | | | | | | | | | (637) lattice(all_37_0) = all_294_5 % 58.91/8.82 | | | | | | | | | | | | | | | | | | | | | | % 58.91/8.82 | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (596) with fresh symbols all_298_0, % 58.91/8.82 | | | | | | | | | | | | | | | | | | | | | | all_298_1, all_298_2, all_298_3, all_298_4, % 58.91/8.82 | | | | | | | | | | | | | | | | | | | | | | all_298_5, all_298_6, all_298_7 gives: % 58.91/8.82 | | | | | | | | | | | | | | | | | | | | | | (638) lattice(all_37_0) = all_298_5 & latt_str(all_37_0) % 58.91/8.82 | | | | | | | | | | | | | | | | | | | | | | = all_298_7 & empty_carrier(all_37_0) = all_298_6 % 58.91/8.82 | | | | | | | | | | | | | | | | | | | | | | & join_commutative(all_37_0) = all_298_4 & % 58.91/8.82 | | | | | | | | | | | | | | | | | | | | | | meet_commutative(all_37_0) = all_298_3 & % 58.91/8.82 | | | | | | | | | | | | | | | | | | | | | | meet_associative(all_37_0) = all_298_2 & % 58.91/8.82 | | | | | | | | | | | | | | | | | | | | | | meet_absorbing(all_37_0) = all_298_1 & % 58.91/8.82 | | | | | | | | | | | | | | | | | | | | | | join_absorbing(all_37_0) = all_298_0 & ( ~ % 58.91/8.82 | | | | | | | | | | | | | | | | | | | | | | (all_298_5 = 0) | ~ (all_298_7 = 0) | all_298_6 % 58.91/8.82 | | | | | | | | | | | | | | | | | | | | | | = 0 | (all_298_0 = 0 & all_298_1 = 0 & all_298_2 % 58.91/8.82 | | | | | | | | | | | | | | | | | | | | | | = 0 & all_298_3 = 0 & all_298_4 = 0 & all_93_5 % 58.91/8.82 | | | | | | | | | | | | | | | | | | | | | | = 0)) % 58.91/8.82 | | | | | | | | | | | | | | | | | | | | | | % 58.91/8.82 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (638) implies: % 58.91/8.82 | | | | | | | | | | | | | | | | | | | | | | (639) empty_carrier(all_37_0) = all_298_6 % 58.91/8.82 | | | | | | | | | | | | | | | | | | | | | | (640) latt_str(all_37_0) = all_298_7 % 58.91/8.82 | | | | | | | | | | | | | | | | | | | | | | (641) lattice(all_37_0) = all_298_5 % 58.91/8.82 | | | | | | | | | | | | | | | | | | | | | | % 58.91/8.82 | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (595) with fresh symbols all_302_0, % 58.91/8.82 | | | | | | | | | | | | | | | | | | | | | | all_302_1, all_302_2, all_302_3, all_302_4, % 58.91/8.82 | | | | | | | | | | | | | | | | | | | | | | all_302_5, all_302_6, all_302_7 gives: % 58.91/8.82 | | | | | | | | | | | | | | | | | | | | | | (642) lattice(all_37_0) = all_302_5 & latt_str(all_37_0) % 58.91/8.82 | | | | | | | | | | | | | | | | | | | | | | = all_302_7 & empty_carrier(all_37_0) = all_302_6 % 58.91/8.82 | | | | | | | | | | | | | | | | | | | | | | & join_commutative(all_37_0) = all_302_4 & % 58.91/8.82 | | | | | | | | | | | | | | | | | | | | | | join_associative(all_37_0) = all_302_3 & % 58.91/8.82 | | | | | | | | | | | | | | | | | | | | | | meet_associative(all_37_0) = all_302_2 & % 58.91/8.82 | | | | | | | | | | | | | | | | | | | | | | meet_absorbing(all_37_0) = all_302_1 & % 58.91/8.82 | | | | | | | | | | | | | | | | | | | | | | join_absorbing(all_37_0) = all_302_0 & ( ~ % 58.91/8.82 | | | | | | | | | | | | | | | | | | | | | | (all_302_5 = 0) | ~ (all_302_7 = 0) | all_302_6 % 58.91/8.82 | | | | | | | | | | | | | | | | | | | | | | = 0 | (all_302_0 = 0 & all_302_1 = 0 & all_302_2 % 58.91/8.82 | | | | | | | | | | | | | | | | | | | | | | = 0 & all_302_3 = 0 & all_302_4 = 0 & all_93_4 % 58.91/8.82 | | | | | | | | | | | | | | | | | | | | | | = 0)) % 58.91/8.82 | | | | | | | | | | | | | | | | | | | | | | % 58.91/8.82 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (642) implies: % 58.91/8.82 | | | | | | | | | | | | | | | | | | | | | | (643) empty_carrier(all_37_0) = all_302_6 % 58.91/8.82 | | | | | | | | | | | | | | | | | | | | | | (644) latt_str(all_37_0) = all_302_7 % 58.91/8.82 | | | | | | | | | | | | | | | | | | | | | | (645) lattice(all_37_0) = all_302_5 % 58.91/8.82 | | | | | | | | | | | | | | | | | | | | | | % 58.91/8.82 | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (593) with fresh symbols all_308_0, % 58.91/8.82 | | | | | | | | | | | | | | | | | | | | | | all_308_1, all_308_2, all_308_3, all_308_4, % 58.91/8.82 | | | | | | | | | | | | | | | | | | | | | | all_308_5, all_308_6, all_308_7 gives: % 58.91/8.82 | | | | | | | | | | | | | | | | | | | | | | (646) lattice(all_37_0) = all_308_5 & latt_str(all_37_0) % 58.91/8.82 | | | | | | | | | | | | | | | | | | | | | | = all_308_7 & empty_carrier(all_37_0) = all_308_6 % 58.91/8.82 | | | | | | | | | | | | | | | | | | | | | | & join_commutative(all_37_0) = all_308_4 & % 58.91/8.82 | | | | | | | | | | | | | | | | | | | | | | join_associative(all_37_0) = all_308_3 & % 58.91/8.82 | | | | | | | | | | | | | | | | | | | | | | meet_commutative(all_37_0) = all_308_2 & % 58.91/8.82 | | | | | | | | | | | | | | | | | | | | | | meet_associative(all_37_0) = all_308_1 & % 58.91/8.82 | | | | | | | | | | | | | | | | | | | | | | join_absorbing(all_37_0) = all_308_0 & ( ~ % 58.91/8.82 | | | | | | | | | | | | | | | | | | | | | | (all_308_5 = 0) | ~ (all_308_7 = 0) | all_308_6 % 58.91/8.82 | | | | | | | | | | | | | | | | | | | | | | = 0 | (all_308_0 = 0 & all_308_1 = 0 & all_308_2 % 58.91/8.82 | | | | | | | | | | | | | | | | | | | | | | = 0 & all_308_3 = 0 & all_308_4 = 0 & all_93_2 % 58.91/8.82 | | | | | | | | | | | | | | | | | | | | | | = 0)) % 58.91/8.82 | | | | | | | | | | | | | | | | | | | | | | % 58.91/8.82 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (646) implies: % 58.91/8.82 | | | | | | | | | | | | | | | | | | | | | | (647) empty_carrier(all_37_0) = all_308_6 % 58.91/8.82 | | | | | | | | | | | | | | | | | | | | | | (648) latt_str(all_37_0) = all_308_7 % 58.91/8.82 | | | | | | | | | | | | | | | | | | | | | | (649) lattice(all_37_0) = all_308_5 % 58.91/8.82 | | | | | | | | | | | | | | | | | | | | | | % 58.91/8.82 | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (594) with fresh symbols all_310_0, % 58.91/8.82 | | | | | | | | | | | | | | | | | | | | | | all_310_1, all_310_2, all_310_3, all_310_4, % 58.91/8.82 | | | | | | | | | | | | | | | | | | | | | | all_310_5, all_310_6, all_310_7 gives: % 58.91/8.82 | | | | | | | | | | | | | | | | | | | | | | (650) lattice(all_37_0) = all_310_5 & latt_str(all_37_0) % 58.91/8.82 | | | | | | | | | | | | | | | | | | | | | | = all_310_7 & empty_carrier(all_37_0) = all_310_6 % 58.91/8.82 | | | | | | | | | | | | | | | | | | | | | | & join_commutative(all_37_0) = all_310_4 & % 58.91/8.82 | | | | | | | | | | | | | | | | | | | | | | join_associative(all_37_0) = all_310_3 & % 58.91/8.82 | | | | | | | | | | | | | | | | | | | | | | meet_commutative(all_37_0) = all_310_2 & % 58.91/8.82 | | | | | | | | | | | | | | | | | | | | | | meet_absorbing(all_37_0) = all_310_1 & % 58.91/8.82 | | | | | | | | | | | | | | | | | | | | | | join_absorbing(all_37_0) = all_310_0 & ( ~ % 58.91/8.82 | | | | | | | | | | | | | | | | | | | | | | (all_310_5 = 0) | ~ (all_310_7 = 0) | all_310_6 % 58.91/8.82 | | | | | | | | | | | | | | | | | | | | | | = 0 | (all_310_0 = 0 & all_310_1 = 0 & all_310_2 % 58.91/8.82 | | | | | | | | | | | | | | | | | | | | | | = 0 & all_310_3 = 0 & all_310_4 = 0 & all_93_3 % 58.91/8.82 | | | | | | | | | | | | | | | | | | | | | | = 0)) % 58.91/8.82 | | | | | | | | | | | | | | | | | | | | | | % 58.91/8.82 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (650) implies: % 58.91/8.82 | | | | | | | | | | | | | | | | | | | | | | (651) empty_carrier(all_37_0) = all_310_6 % 58.91/8.82 | | | | | | | | | | | | | | | | | | | | | | (652) latt_str(all_37_0) = all_310_7 % 58.91/8.82 | | | | | | | | | | | | | | | | | | | | | | (653) lattice(all_37_0) = all_310_5 % 58.91/8.82 | | | | | | | | | | | | | | | | | | | | | | % 58.91/8.82 | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (592) with fresh symbols all_314_0, % 58.91/8.82 | | | | | | | | | | | | | | | | | | | | | | all_314_1, all_314_2, all_314_3, all_314_4, % 58.91/8.82 | | | | | | | | | | | | | | | | | | | | | | all_314_5, all_314_6, all_314_7 gives: % 58.91/8.82 | | | | | | | | | | | | | | | | | | | | | | (654) lattice(all_37_0) = all_314_5 & latt_str(all_37_0) % 58.91/8.82 | | | | | | | | | | | | | | | | | | | | | | = all_314_7 & empty_carrier(all_37_0) = all_314_6 % 58.91/8.82 | | | | | | | | | | | | | | | | | | | | | | & join_commutative(all_37_0) = all_314_4 & % 58.91/8.82 | | | | | | | | | | | | | | | | | | | | | | join_associative(all_37_0) = all_314_3 & % 58.91/8.82 | | | | | | | | | | | | | | | | | | | | | | meet_commutative(all_37_0) = all_314_2 & % 58.91/8.82 | | | | | | | | | | | | | | | | | | | | | | meet_associative(all_37_0) = all_314_1 & % 58.91/8.82 | | | | | | | | | | | | | | | | | | | | | | meet_absorbing(all_37_0) = all_314_0 & ( ~ % 58.91/8.82 | | | | | | | | | | | | | | | | | | | | | | (all_314_5 = 0) | ~ (all_314_7 = 0) | all_314_6 % 58.91/8.82 | | | | | | | | | | | | | | | | | | | | | | = 0 | (all_314_0 = 0 & all_314_1 = 0 & all_314_2 % 58.91/8.82 | | | | | | | | | | | | | | | | | | | | | | = 0 & all_314_3 = 0 & all_314_4 = 0 & all_93_1 % 58.91/8.82 | | | | | | | | | | | | | | | | | | | | | | = 0)) % 58.91/8.82 | | | | | | | | | | | | | | | | | | | | | | % 58.91/8.82 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (654) implies: % 58.91/8.82 | | | | | | | | | | | | | | | | | | | | | | (655) empty_carrier(all_37_0) = all_314_6 % 58.91/8.82 | | | | | | | | | | | | | | | | | | | | | | (656) latt_str(all_37_0) = all_314_7 % 58.91/8.82 | | | | | | | | | | | | | | | | | | | | | | (657) lattice(all_37_0) = all_314_5 % 58.91/8.82 | | | | | | | | | | | | | | | | | | | | | | % 58.91/8.82 | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (614) with fresh symbols all_316_0, % 58.91/8.82 | | | | | | | | | | | | | | | | | | | | | | all_316_1, all_316_2, all_316_3, all_316_4, % 58.91/8.82 | | | | | | | | | | | | | | | | | | | | | | all_316_5, all_316_6, all_316_7, all_316_8 gives: % 58.91/8.82 | | | | | | | | | | | | | | | | | | | | | | (658) below(all_45_8, all_45_3, all_45_3) = all_316_0 & % 58.91/8.82 | | | | | | | | | | | | | | | | | | | | | | the_carrier(all_45_8) = all_316_3 & % 58.91/8.82 | | | | | | | | | | | | | | | | | | | | | | element(all_45_3, all_316_3) = all_316_1 & % 58.91/8.82 | | | | | | | | | | | | | | | | | | | | | | element(all_45_3, all_316_3) = all_316_2 & % 58.91/8.82 | | | | | | | | | | | | | | | | | | | | | | latt_str(all_45_8) = all_316_4 & % 58.91/8.82 | | | | | | | | | | | | | | | | | | | | | | empty_carrier(all_45_8) = all_316_8 & % 58.91/8.82 | | | | | | | | | | | | | | | | | | | | | | meet_commutative(all_45_8) = all_316_7 & % 58.91/8.82 | | | | | | | | | | | | | | | | | | | | | | meet_absorbing(all_45_8) = all_316_6 & % 58.91/8.82 | | | | | | | | | | | | | | | | | | | | | | join_absorbing(all_45_8) = all_316_5 & % 58.91/8.82 | | | | | | | | | | | | | | | | | | | | | | $i(all_316_3) & ( ~ (all_316_1 = 0) | ~ % 58.91/8.82 | | | | | | | | | | | | | | | | | | | | | | (all_316_2 = 0) | ~ (all_316_4 = 0) | ~ % 58.91/8.82 | | | | | | | | | | | | | | | | | | | | | | (all_316_5 = 0) | ~ (all_316_6 = 0) | ~ % 58.91/8.82 | | | | | | | | | | | | | | | | | | | | | | (all_316_7 = 0) | all_316_0 = 0 | all_316_8 = 0) % 58.91/8.82 | | | | | | | | | | | | | | | | | | | | | | % 58.91/8.82 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (658) implies: % 58.91/8.82 | | | | | | | | | | | | | | | | | | | | | | (659) $i(all_316_3) % 58.91/8.82 | | | | | | | | | | | | | | | | | | | | | | (660) empty_carrier(all_45_8) = all_316_8 % 58.91/8.82 | | | | | | | | | | | | | | | | | | | | | | (661) latt_str(all_45_8) = all_316_4 % 58.91/8.82 | | | | | | | | | | | | | | | | | | | | | | (662) the_carrier(all_45_8) = all_316_3 % 58.91/8.82 | | | | | | | | | | | | | | | | | | | | | | % 58.91/8.82 | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (613) with fresh symbols all_318_0, % 58.91/8.82 | | | | | | | | | | | | | | | | | | | | | | all_318_1, all_318_2, all_318_3, all_318_4, % 58.91/8.82 | | | | | | | | | | | | | | | | | | | | | | all_318_5, all_318_6, all_318_7, all_318_8 gives: % 58.91/8.82 | | | | | | | | | | | | | | | | | | | | | | (663) below(all_45_8, all_45_4, all_45_4) = all_318_0 & % 58.91/8.82 | | | | | | | | | | | | | | | | | | | | | | the_carrier(all_45_8) = all_318_3 & % 58.91/8.82 | | | | | | | | | | | | | | | | | | | | | | element(all_45_4, all_318_3) = all_318_1 & % 58.91/8.82 | | | | | | | | | | | | | | | | | | | | | | element(all_45_4, all_318_3) = all_318_2 & % 58.91/8.82 | | | | | | | | | | | | | | | | | | | | | | latt_str(all_45_8) = all_318_4 & % 58.91/8.82 | | | | | | | | | | | | | | | | | | | | | | empty_carrier(all_45_8) = all_318_8 & % 58.91/8.82 | | | | | | | | | | | | | | | | | | | | | | meet_commutative(all_45_8) = all_318_7 & % 58.91/8.82 | | | | | | | | | | | | | | | | | | | | | | meet_absorbing(all_45_8) = all_318_6 & % 58.91/8.82 | | | | | | | | | | | | | | | | | | | | | | join_absorbing(all_45_8) = all_318_5 & % 58.91/8.82 | | | | | | | | | | | | | | | | | | | | | | $i(all_318_3) & ( ~ (all_318_1 = 0) | ~ % 58.91/8.82 | | | | | | | | | | | | | | | | | | | | | | (all_318_2 = 0) | ~ (all_318_4 = 0) | ~ % 58.91/8.82 | | | | | | | | | | | | | | | | | | | | | | (all_318_5 = 0) | ~ (all_318_6 = 0) | ~ % 58.91/8.82 | | | | | | | | | | | | | | | | | | | | | | (all_318_7 = 0) | all_318_0 = 0 | all_318_8 = 0) % 58.91/8.82 | | | | | | | | | | | | | | | | | | | | | | % 58.91/8.82 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (663) implies: % 58.91/8.82 | | | | | | | | | | | | | | | | | | | | | | (664) empty_carrier(all_45_8) = all_318_8 % 58.91/8.82 | | | | | | | | | | | | | | | | | | | | | | (665) latt_str(all_45_8) = all_318_4 % 58.91/8.82 | | | | | | | | | | | | | | | | | | | | | | (666) the_carrier(all_45_8) = all_318_3 % 58.91/8.82 | | | | | | | | | | | | | | | | | | | | | | % 58.91/8.82 | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (615) with fresh symbols all_320_0, % 58.91/8.82 | | | | | | | | | | | | | | | | | | | | | | all_320_1, all_320_2, all_320_3, all_320_4, % 58.91/8.82 | | | | | | | | | | | | | | | | | | | | | | all_320_5, all_320_6, all_320_7, all_320_8 gives: % 58.91/8.82 | | | | | | | | | | | | | | | | | | | | | | (667) below_refl(all_45_8, all_45_4, all_45_3) = % 58.91/8.82 | | | | | | | | | | | | | | | | | | | | | | all_320_0 & the_carrier(all_45_8) = all_320_3 & % 58.91/8.82 | | | | | | | | | | | | | | | | | | | | | | element(all_45_3, all_320_3) = all_320_1 & % 58.91/8.82 | | | | | | | | | | | | | | | | | | | | | | element(all_45_4, all_320_3) = all_320_2 & % 58.91/8.82 | | | | | | | | | | | | | | | | | | | | | | latt_str(all_45_8) = all_320_4 & % 58.91/8.82 | | | | | | | | | | | | | | | | | | | | | | empty_carrier(all_45_8) = all_320_8 & % 58.91/8.82 | | | | | | | | | | | | | | | | | | | | | | meet_commutative(all_45_8) = all_320_7 & % 58.91/8.82 | | | | | | | | | | | | | | | | | | | | | | meet_absorbing(all_45_8) = all_320_6 & % 58.91/8.82 | | | | | | | | | | | | | | | | | | | | | | join_absorbing(all_45_8) = all_320_5 & % 58.91/8.82 | | | | | | | | | | | | | | | | | | | | | | $i(all_320_3) & ( ~ (all_320_1 = 0) | ~ % 58.91/8.82 | | | | | | | | | | | | | | | | | | | | | | (all_320_2 = 0) | ~ (all_320_4 = 0) | ~ % 58.91/8.82 | | | | | | | | | | | | | | | | | | | | | | (all_320_5 = 0) | ~ (all_320_6 = 0) | ~ % 58.91/8.82 | | | | | | | | | | | | | | | | | | | | | | (all_320_7 = 0) | all_320_8 = 0 | (( ~ % 58.91/8.82 | | | | | | | | | | | | | | | | | | | | | | (all_320_0 = 0) | all_103_0 = 0) & ( ~ % 58.91/8.82 | | | | | | | | | | | | | | | | | | | | | | (all_103_0 = 0) | all_320_0 = 0))) % 58.91/8.82 | | | | | | | | | | | | | | | | | | | | | | % 58.91/8.82 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (667) implies: % 58.91/8.82 | | | | | | | | | | | | | | | | | | | | | | (668) empty_carrier(all_45_8) = all_320_8 % 58.91/8.82 | | | | | | | | | | | | | | | | | | | | | | (669) latt_str(all_45_8) = all_320_4 % 58.91/8.82 | | | | | | | | | | | | | | | | | | | | | | (670) the_carrier(all_45_8) = all_320_3 % 58.91/8.83 | | | | | | | | | | | | | | | | | | | | | | (671) below_refl(all_45_8, all_45_4, all_45_3) = % 58.91/8.83 | | | | | | | | | | | | | | | | | | | | | | all_320_0 % 58.91/8.83 | | | | | | | | | | | | | | | | | | | | | | % 58.91/8.83 | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (608) with fresh symbols all_322_0, % 58.91/8.83 | | | | | | | | | | | | | | | | | | | | | | all_322_1, all_322_2, all_322_3, all_322_4, % 58.91/8.83 | | | | | | | | | | | | | | | | | | | | | | all_322_5, all_322_6, all_322_7, all_322_8, % 58.91/8.83 | | | | | | | | | | | | | | | | | | | | | | all_322_9 gives: % 58.91/8.83 | | | | | | | | | | | | | | | | | | | | | | (672) the_carrier(all_45_8) = all_322_6 & % 58.91/8.83 | | | | | | | | | | | | | | | | | | | | | | lattice(all_45_8) = all_322_8 & latt_str(all_45_8) % 58.91/8.83 | | | | | | | | | | | | | | | | | | | | | | = all_322_7 & empty_carrier(all_45_8) = all_322_9 % 58.91/8.83 | | | | | | | | | | | | | | | | | | | | | | & $i(all_322_4) & $i(all_322_5) & $i(all_322_6) & % 58.91/8.83 | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_322_7 = 0) | ~ (all_322_8 = 0) | % 58.91/8.83 | | | | | | | | | | | | | | | | | | | | | | all_322_9 = 0 | (( ~ (all_45_1 = 0) | (all_322_0 % 58.91/8.83 | | | | | | | | | | | | | | | | | | | | | | = 0 & all_322_1 = all_45_2 & all_322_2 = 0 % 58.91/8.83 | | | | | | | | | | | | | | | | | | | | | | & all_322_3 = 0 & below_refl(all_45_8, % 58.91/8.83 | | | | | | | | | | | | | | | | | | | | | | all_322_5, all_322_4) = 0 & % 58.91/8.83 | | | | | | | | | | | | | | | | | | | | | | ordered_pair_as_product_element(all_322_6, % 58.91/8.83 | | | | | | | | | | | | | | | | | | | | | | all_322_6, all_322_5, all_322_4) = % 58.91/8.83 | | | | | | | | | | | | | | | | | | | | | | all_45_2 & element(all_322_4, all_322_6) = % 58.91/8.83 | | | | | | | | | | | | | | | | | | | | | | 0 & element(all_322_5, all_322_6) = 0)) & % 58.91/8.83 | | | | | | | | | | | | | | | | | | | | | | (all_45_1 = 0 | ( ! [v0: $i] : ! [v1: $i] : ( % 58.91/8.83 | | | | | | | | | | | | | | | | | | | | | | ~ (below_refl(all_45_8, v0, v1) = 0) | % 58.91/8.83 | | | | | | | | | | | | | | | | | | | | | | ~ $i(v1) | ~ $i(v0) | ? [v2: any] : ? % 58.91/8.83 | | | | | | | | | | | | | | | | | | | | | | [v3: any] : ? [v4: $i] : % 58.91/8.83 | | | | | | | | | | | | | | | | | | | | | | (ordered_pair_as_product_element(all_322_6, % 58.91/8.83 | | | | | | | | | | | | | | | | | | | | | | all_322_6, v0, v1) = v4 & % 58.91/8.83 | | | | | | | | | | | | | | | | | | | | | | element(v1, all_322_6) = v3 & % 58.91/8.83 | | | | | | | | | | | | | | | | | | | | | | element(v0, all_322_6) = v2 & $i(v4) & % 58.91/8.83 | | | | | | | | | | | | | | | | | | | | | | ( ~ (v4 = all_45_2) | ~ (v3 = 0) | ~ % 58.91/8.83 | | | | | | | | | | | | | | | | | | | | | | (v2 = 0)))) & ! [v0: $i] : ! [v1: % 58.91/8.83 | | | | | | | | | | | | | | | | | | | | | | $i] : ( ~ % 58.91/8.83 | | | | | | | | | | | | | | | | | | | | | | (ordered_pair_as_product_element(all_322_6, % 58.91/8.83 | | | | | | | | | | | | | | | | | | | | | | all_322_6, v0, v1) = all_45_2) | ~ % 58.91/8.83 | | | | | | | | | | | | | | | | | | | | | | $i(v1) | ~ $i(v0) | ? [v2: any] : ? % 58.91/8.83 | | | | | | | | | | | | | | | | | | | | | | [v3: any] : ? [v4: any] : % 58.91/8.83 | | | | | | | | | | | | | | | | | | | | | | (below_refl(all_45_8, v0, v1) = v4 & % 58.91/8.83 | | | | | | | | | | | | | | | | | | | | | | element(v1, all_322_6) = v3 & % 58.91/8.83 | | | | | | | | | | | | | | | | | | | | | | element(v0, all_322_6) = v2 & ( ~ (v4 % 58.91/8.83 | | | | | | | | | | | | | | | | | | | | | | = 0) | ~ (v3 = 0) | ~ (v2 = % 58.91/8.83 | | | | | | | | | | | | | | | | | | | | | | 0)))))))) % 58.91/8.83 | | | | | | | | | | | | | | | | | | | | | | % 58.91/8.83 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (672) implies: % 58.91/8.83 | | | | | | | | | | | | | | | | | | | | | | (673) $i(all_322_5) % 58.91/8.83 | | | | | | | | | | | | | | | | | | | | | | (674) $i(all_322_4) % 58.91/8.83 | | | | | | | | | | | | | | | | | | | | | | (675) empty_carrier(all_45_8) = all_322_9 % 58.91/8.83 | | | | | | | | | | | | | | | | | | | | | | (676) latt_str(all_45_8) = all_322_7 % 58.91/8.83 | | | | | | | | | | | | | | | | | | | | | | (677) lattice(all_45_8) = all_322_8 % 58.91/8.83 | | | | | | | | | | | | | | | | | | | | | | (678) the_carrier(all_45_8) = all_322_6 % 58.91/8.83 | | | | | | | | | | | | | | | | | | | | | | (679) ~ (all_322_7 = 0) | ~ (all_322_8 = 0) | % 58.91/8.83 | | | | | | | | | | | | | | | | | | | | | | all_322_9 = 0 | (( ~ (all_45_1 = 0) | (all_322_0 = % 58.91/8.83 | | | | | | | | | | | | | | | | | | | | | | 0 & all_322_1 = all_45_2 & all_322_2 = 0 & % 58.91/8.83 | | | | | | | | | | | | | | | | | | | | | | all_322_3 = 0 & below_refl(all_45_8, % 58.91/8.83 | | | | | | | | | | | | | | | | | | | | | | all_322_5, all_322_4) = 0 & % 58.91/8.83 | | | | | | | | | | | | | | | | | | | | | | ordered_pair_as_product_element(all_322_6, % 58.91/8.83 | | | | | | | | | | | | | | | | | | | | | | all_322_6, all_322_5, all_322_4) = % 58.91/8.83 | | | | | | | | | | | | | | | | | | | | | | all_45_2 & element(all_322_4, all_322_6) = 0 % 58.91/8.83 | | | | | | | | | | | | | | | | | | | | | | & element(all_322_5, all_322_6) = 0)) & % 58.91/8.83 | | | | | | | | | | | | | | | | | | | | | | (all_45_1 = 0 | ( ! [v0: $i] : ! [v1: $i] : ( ~ % 58.91/8.83 | | | | | | | | | | | | | | | | | | | | | | (below_refl(all_45_8, v0, v1) = 0) | ~ % 58.91/8.83 | | | | | | | | | | | | | | | | | | | | | | $i(v1) | ~ $i(v0) | ? [v2: any] : ? % 58.91/8.83 | | | | | | | | | | | | | | | | | | | | | | [v3: any] : ? [v4: $i] : % 58.91/8.83 | | | | | | | | | | | | | | | | | | | | | | (ordered_pair_as_product_element(all_322_6, % 58.91/8.83 | | | | | | | | | | | | | | | | | | | | | | all_322_6, v0, v1) = v4 & element(v1, % 58.91/8.83 | | | | | | | | | | | | | | | | | | | | | | all_322_6) = v3 & element(v0, % 58.91/8.83 | | | | | | | | | | | | | | | | | | | | | | all_322_6) = v2 & $i(v4) & ( ~ (v4 = % 58.91/8.83 | | | | | | | | | | | | | | | | | | | | | | all_45_2) | ~ (v3 = 0) | ~ (v2 = % 58.91/8.83 | | | | | | | | | | | | | | | | | | | | | | 0)))) & ! [v0: $i] : ! [v1: $i] : % 58.91/8.83 | | | | | | | | | | | | | | | | | | | | | | ( ~ % 58.91/8.83 | | | | | | | | | | | | | | | | | | | | | | (ordered_pair_as_product_element(all_322_6, % 58.91/8.83 | | | | | | | | | | | | | | | | | | | | | | all_322_6, v0, v1) = all_45_2) | ~ % 58.91/8.83 | | | | | | | | | | | | | | | | | | | | | | $i(v1) | ~ $i(v0) | ? [v2: any] : ? % 58.91/8.83 | | | | | | | | | | | | | | | | | | | | | | [v3: any] : ? [v4: any] : % 58.91/8.83 | | | | | | | | | | | | | | | | | | | | | | (below_refl(all_45_8, v0, v1) = v4 & % 58.91/8.83 | | | | | | | | | | | | | | | | | | | | | | element(v1, all_322_6) = v3 & % 58.91/8.83 | | | | | | | | | | | | | | | | | | | | | | element(v0, all_322_6) = v2 & ( ~ (v4 = % 58.91/8.83 | | | | | | | | | | | | | | | | | | | | | | 0) | ~ (v3 = 0) | ~ (v2 = 0))))))) % 58.91/8.83 | | | | | | | | | | | | | | | | | | | | | | % 58.91/8.83 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (610) gives: % 58.91/8.83 | | | | | | | | | | | | | | | | | | | | | | % 58.91/8.83 | | | | | | | | | | | | | | | | | | | | | | Case 1: % 58.91/8.83 | | | | | | | | | | | | | | | | | | | | | | | % 58.91/8.83 | | | | | | | | | | | | | | | | | | | | | | | (680) all_63_1 = 0 % 58.91/8.83 | | | | | | | | | | | | | | | | | | | | | | | % 58.91/8.83 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (360), (680) imply: % 58.91/8.83 | | | | | | | | | | | | | | | | | | | | | | | (681) all_114_2 = 0 % 58.91/8.83 | | | | | | | | | | | | | | | | | | | | | | | % 58.91/8.83 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (14), (19), (25), (31), (32), (33), (40), % 58.91/8.83 | | | | | | | | | | | | | | | | | | | | | | | (41), (42), (45), (47), (48), (49), (50), (55), % 58.91/8.83 | | | | | | | | | | | | | | | | | | | | | | | (56), (62), (65), (66), (69), (70), (71), (73), % 58.91/8.83 | | | | | | | | | | | | | | | | | | | | | | | (74), (75), (76), (77), (78), (114), (140), (141), % 58.91/8.83 | | | | | | | | | | | | | | | | | | | | | | | (143), (160), (167), (172), (250), (263), (269), % 58.91/8.83 | | | | | | | | | | | | | | | | | | | | | | | (365), (434), (437), (438), (443), (506), (583), % 58.91/8.83 | | | | | | | | | | | | | | | | | | | | | | | (585), (591), (598), (599), (600), (601), (602), % 58.91/8.83 | | | | | | | | | | | | | | | | | | | | | | | (603), (611), (617), (618), (620), (621), (622), % 58.91/8.83 | | | | | | | | | | | | | | | | | | | | | | | (624), (625), (626), (628), (629), (630), (632), % 58.91/8.83 | | | | | | | | | | | | | | | | | | | | | | | (633), (635), (636), (637), (639), (640), (641), % 58.91/8.83 | | | | | | | | | | | | | | | | | | | | | | | (643), (644), (645), (647), (648), (649), (651), % 58.91/8.83 | | | | | | | | | | | | | | | | | | | | | | | (652), (653), (655), (656), (657), (659), (660), % 58.91/8.83 | | | | | | | | | | | | | | | | | | | | | | | (661), (662), (664), (665), (666), (668), (669), % 58.91/8.83 | | | | | | | | | | | | | | | | | | | | | | | (670), (671), (673), (674), (675), (676), (677), % 58.91/8.83 | | | | | | | | | | | | | | | | | | | | | | | (678), (679), (681), (dt_k1_domain_1), % 58.91/8.83 | | | | | | | | | | | | | | | | | | | | | | | (redefinition_k1_domain_1) are inconsistent by % 58.91/8.83 | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1. % 58.91/8.83 | | | | | | | | | | | | | | | | | | | | | | | % 58.91/8.83 | | | | | | | | | | | | | | | | | | | | | | Case 2: % 58.91/8.83 | | | | | | | | | | | | | | | | | | | | | | | % 58.91/8.83 | | | | | | | | | | | | | | | | | | | | | | | % 58.91/8.83 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (46) with all_63_1, 0, all_45_8, % 58.91/8.83 | | | | | | | | | | | | | | | | | | | | | | | simplifying with (120), (612) gives: % 58.91/8.83 | | | | | | | | | | | | | | | | | | | | | | | (682) all_63_1 = 0 % 58.91/8.83 | | | | | | | | | | | | | | | | | | | | | | | % 58.91/8.83 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (360), (682) imply: % 58.91/8.83 | | | | | | | | | | | | | | | | | | | | | | | (683) all_114_2 = 0 % 58.91/8.83 | | | | | | | | | | | | | | | | | | | | | | | % 58.91/8.83 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (14), (19), (25), (31), (32), (33), (40), % 58.91/8.83 | | | | | | | | | | | | | | | | | | | | | | | (41), (42), (45), (47), (48), (49), (50), (55), % 58.91/8.83 | | | | | | | | | | | | | | | | | | | | | | | (56), (62), (65), (66), (69), (70), (71), (73), % 58.91/8.83 | | | | | | | | | | | | | | | | | | | | | | | (74), (75), (76), (77), (78), (114), (140), (141), % 58.91/8.83 | | | | | | | | | | | | | | | | | | | | | | | (143), (160), (167), (172), (250), (263), (269), % 58.91/8.83 | | | | | | | | | | | | | | | | | | | | | | | (365), (434), (437), (438), (443), (506), (583), % 58.91/8.83 | | | | | | | | | | | | | | | | | | | | | | | (585), (591), (598), (599), (600), (601), (602), % 58.91/8.83 | | | | | | | | | | | | | | | | | | | | | | | (603), (611), (617), (618), (620), (621), (622), % 58.91/8.83 | | | | | | | | | | | | | | | | | | | | | | | (624), (625), (626), (628), (629), (630), (632), % 58.91/8.83 | | | | | | | | | | | | | | | | | | | | | | | (633), (635), (636), (637), (639), (640), (641), % 58.91/8.83 | | | | | | | | | | | | | | | | | | | | | | | (643), (644), (645), (647), (648), (649), (651), % 58.91/8.83 | | | | | | | | | | | | | | | | | | | | | | | (652), (653), (655), (656), (657), (659), (660), % 58.91/8.83 | | | | | | | | | | | | | | | | | | | | | | | (661), (662), (664), (665), (666), (668), (669), % 58.91/8.83 | | | | | | | | | | | | | | | | | | | | | | | (670), (671), (673), (674), (675), (676), (677), % 58.91/8.83 | | | | | | | | | | | | | | | | | | | | | | | (678), (679), (683), (dt_k1_domain_1), % 58.91/8.83 | | | | | | | | | | | | | | | | | | | | | | | (redefinition_k1_domain_1) are inconsistent by % 58.91/8.83 | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1. % 58.91/8.83 | | | | | | | | | | | | | | | | | | | | | | | % 58.91/8.83 | | | | | | | | | | | | | | | | | | | | | | End of split % 58.91/8.83 | | | | | | | | | | | | | | | | | | | | | | % 58.91/8.83 | | | | | | | | | | | | | | | | | | | | | Case 2: % 58.91/8.83 | | | | | | | | | | | | | | | | | | | | | | % 58.91/8.83 | | | | | | | | | | | | | | | | | | | | | | (684) all_89_5 = 0 % 58.91/8.83 | | | | | | | | | | | | | | | | | | | | | | % 58.91/8.83 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (509), (684) imply: % 58.91/8.83 | | | | | | | | | | | | | | | | | | | | | | (685) all_45_7 = 0 % 58.91/8.83 | | | | | | | | | | | | | | | | | | | | | | % 58.91/8.83 | | | | | | | | | | | | | | | | | | | | | | SIMP: (685) implies: % 58.91/8.83 | | | | | | | | | | | | | | | | | | | | | | (686) all_45_7 = 0 % 58.91/8.83 | | | | | | | | | | | | | | | | | | | | | | % 58.91/8.83 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (62), (686) imply: % 58.91/8.83 | | | | | | | | | | | | | | | | | | | | | | (687) $false % 58.91/8.83 | | | | | | | | | | | | | | | | | | | | | | % 58.91/8.83 | | | | | | | | | | | | | | | | | | | | | | CLOSE: (687) is inconsistent. % 58.91/8.83 | | | | | | | | | | | | | | | | | | | | | | % 58.91/8.84 | | | | | | | | | | | | | | | | | | | | | End of split % 58.91/8.84 | | | | | | | | | | | | | | | | | | | | | % 58.91/8.84 | | | | | | | | | | | | | | | | | | | | Case 2: % 58.91/8.84 | | | | | | | | | | | | | | | | | | | | | % 58.91/8.84 | | | | | | | | | | | | | | | | | | | | | (688) all_87_5 = 0 % 58.91/8.84 | | | | | | | | | | | | | | | | | | | | | % 58.91/8.84 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (507), (688) imply: % 58.91/8.84 | | | | | | | | | | | | | | | | | | | | | (689) all_45_7 = 0 % 58.91/8.84 | | | | | | | | | | | | | | | | | | | | | % 58.91/8.84 | | | | | | | | | | | | | | | | | | | | | SIMP: (689) implies: % 58.91/8.84 | | | | | | | | | | | | | | | | | | | | | (690) all_45_7 = 0 % 58.91/8.84 | | | | | | | | | | | | | | | | | | | | | % 58.91/8.84 | | | | | | | | | | | | | | | | | | | | | REDUCE: (62), (690) imply: % 58.91/8.84 | | | | | | | | | | | | | | | | | | | | | (691) $false % 58.91/8.84 | | | | | | | | | | | | | | | | | | | | | % 58.91/8.84 | | | | | | | | | | | | | | | | | | | | | CLOSE: (691) is inconsistent. % 58.91/8.84 | | | | | | | | | | | | | | | | | | | | | % 58.91/8.84 | | | | | | | | | | | | | | | | | | | | End of split % 58.91/8.84 | | | | | | | | | | | | | | | | | | | | % 58.91/8.84 | | | | | | | | | | | | | | | | | | | End of split % 58.91/8.84 | | | | | | | | | | | | | | | | | | | % 58.91/8.84 | | | | | | | | | | | | | | | | | | End of split % 58.91/8.84 | | | | | | | | | | | | | | | | | | % 58.91/8.84 | | | | | | | | | | | | | | | | | End of split % 58.91/8.84 | | | | | | | | | | | | | | | | | % 58.91/8.84 | | | | | | | | | | | | | | | | End of split % 58.91/8.84 | | | | | | | | | | | | | | | | % 58.91/8.84 | | | | | | | | | | | | | | | End of split % 58.91/8.84 | | | | | | | | | | | | | | | % 58.91/8.84 | | | | | | | | | | | | | | End of split % 58.91/8.84 | | | | | | | | | | | | | | % 58.91/8.84 | | | | | | | | | | | | | End of split % 58.91/8.84 | | | | | | | | | | | | | % 58.91/8.84 | | | | | | | | | | | | End of split % 58.91/8.84 | | | | | | | | | | | | % 58.91/8.84 | | | | | | | | | | | End of split % 58.91/8.84 | | | | | | | | | | | % 58.91/8.84 | | | | | | | | | | End of split % 58.91/8.84 | | | | | | | | | | % 58.91/8.84 | | | | | | | | | End of split % 58.91/8.84 | | | | | | | | | % 58.91/8.84 | | | | | | | | End of split % 58.91/8.84 | | | | | | | | % 58.91/8.84 | | | | | | | End of split % 58.91/8.84 | | | | | | | % 59.34/8.84 | | | | | | End of split % 59.34/8.84 | | | | | | % 59.34/8.84 | | | | | End of split % 59.34/8.84 | | | | | % 59.34/8.84 | | | | End of split % 59.34/8.84 | | | | % 59.34/8.84 | | | End of split % 59.34/8.84 | | | % 59.34/8.84 | | End of split % 59.34/8.84 | | % 59.34/8.84 | End of split % 59.34/8.84 | % 59.34/8.84 End of proof % 59.34/8.84 % 59.34/8.84 Sub-proof #1 shows that the following formulas are inconsistent: % 59.34/8.84 ---------------------------------------------------------------- % 59.34/8.84 (1) ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : % 59.34/8.84 ! [v3: $i] : ! [v4: $i] : (v1 = v0 | ~ (below_refl(v4, v3, v2) = v1) | % 59.34/8.84 ~ (below_refl(v4, v3, v2) = v0)) % 59.34/8.84 (2) empty(all_45_6) = all_55_1 % 59.34/8.84 (3) empty_carrier(all_37_0) = all_294_6 % 59.34/8.84 (4) latt_str(all_37_0) = all_284_1 % 59.34/8.84 (5) element(all_45_3, all_45_6) = 0 % 59.34/8.84 (6) empty_carrier(all_37_0) = all_290_6 % 59.34/8.84 (7) ~ (all_81_2 = 0) | all_81_0 = all_81_1 | all_81_3 = 0 % 59.34/8.84 (8) ~ (all_125_2 = 0) | ~ (all_125_3 = 0) | all_125_0 = all_125_1 % 59.34/8.84 (9) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ( ~ % 59.34/8.84 (ordered_pair_as_product_element(v0, v1, v2, v3) = v4) | ~ $i(v3) | ~ % 59.34/8.84 $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v5: any] : ? [v6: any] : ? [v7: % 59.34/8.84 any] : ? [v8: any] : ? [v9: $i] : ? [v10: any] : (empty(v1) = v6 & % 59.34/8.84 empty(v0) = v5 & cartesian_product2(v0, v1) = v9 & element(v4, v9) = % 59.34/8.84 v10 & element(v3, v1) = v8 & element(v2, v0) = v7 & $i(v9) & ( ~ (v8 % 59.34/8.84 = 0) | ~ (v7 = 0) | v10 = 0 | v6 = 0 | v5 = 0))) % 59.34/8.84 (10) latt_str(all_37_0) = all_298_7 % 59.34/8.84 (11) empty_carrier(all_45_8) = all_322_9 % 59.34/8.84 (12) the_carrier(all_45_8) = all_322_6 % 59.34/8.84 (13) latt_str(all_37_0) = all_302_7 % 59.34/8.84 (14) the_carrier(all_45_8) = all_320_3 % 59.34/8.84 (15) $i(all_37_0) % 59.34/8.84 (16) empty_carrier(all_37_0) = all_284_3 % 59.34/8.84 (17) the_carrier(all_45_8) = all_316_3 % 59.34/8.84 (18) empty(all_45_6) = all_268_1 % 59.34/8.84 (19) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : % 59.34/8.84 (v2 = v0 | ~ (ordered_pair(v2, v3) = v4) | ~ (ordered_pair(v0, v1) = % 59.34/8.84 v4) | ~ $i(v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0)) % 59.34/8.84 (20) lattice(all_37_0) = all_284_2 % 59.34/8.84 (21) all_75_3 = 0 | ? [v0: any] : ? [v1: any] : ? [v2: $i] : ? [v3: any] % 59.34/8.84 : (relation(v2) = v3 & relation_of_lattice(all_37_0) = v2 & % 59.34/8.84 lattice(all_37_0) = v0 & latt_str(all_37_0) = v1 & $i(v2) & ( ~ (v1 = % 59.34/8.84 0) | ~ (v0 = 0) | v3 = 0)) % 59.34/8.84 (22) $i(all_45_4) % 59.34/8.84 (23) all_75_3 = 0 | ? [v0: any] : ? [v1: any] : ? [v2: $i] : ? [v3: $i] : % 59.34/8.84 (a_1_0_filter_1(all_37_0) = v3 & relation_of_lattice(all_37_0) = v2 & % 59.34/8.84 lattice(all_37_0) = v0 & latt_str(all_37_0) = v1 & $i(v3) & $i(v2) & ( % 59.34/8.84 ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2)) % 59.34/8.84 (24) all_75_3 = 0 | ? [v0: any] : ? [v1: any] : ? [v2: any] : ? [v3: any] % 59.34/8.84 : ? [v4: any] : ? [v5: any] : ? [v6: any] : ? [v7: any] : % 59.34/8.84 (lattice(all_37_0) = v1 & latt_str(all_37_0) = v0 & % 59.34/8.84 join_commutative(all_37_0) = v2 & join_associative(all_37_0) = v3 & % 59.34/8.84 meet_commutative(all_37_0) = v4 & meet_associative(all_37_0) = v5 & % 59.34/8.84 meet_absorbing(all_37_0) = v6 & join_absorbing(all_37_0) = v7 & ( ~ % 59.34/8.84 (v1 = 0) | ~ (v0 = 0) | (v7 = 0 & v6 = 0 & v5 = 0 & v4 = 0 & v3 = 0 % 59.34/8.84 & v2 = 0))) % 59.34/8.84 (25) below_refl(all_45_8, all_45_4, all_45_3) = all_45_0 % 59.34/8.84 (26) empty_carrier(all_45_8) = all_318_8 % 59.34/8.84 (27) latt_str(all_45_8) = all_318_4 % 59.34/8.84 (28) lattice(all_37_0) = all_314_5 % 59.34/8.84 (29) empty_carrier(all_37_0) = all_310_6 % 59.34/8.84 (30) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : % 59.34/8.84 (v3 = v1 | ~ (ordered_pair(v2, v3) = v4) | ~ (ordered_pair(v0, v1) = % 59.34/8.84 v4) | ~ $i(v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0)) % 59.34/8.84 (31) all_85_4 = all_55_1 % 59.34/8.84 (32) all_114_2 = 0 % 59.34/8.84 (33) lattice(all_37_0) = all_308_5 % 59.34/8.85 (34) ~ (all_322_7 = 0) | ~ (all_322_8 = 0) | all_322_9 = 0 | (( ~ (all_45_1 % 59.34/8.85 = 0) | (all_322_0 = 0 & all_322_1 = all_45_2 & all_322_2 = 0 & % 59.34/8.85 all_322_3 = 0 & below_refl(all_45_8, all_322_5, all_322_4) = 0 & % 59.34/8.85 ordered_pair_as_product_element(all_322_6, all_322_6, all_322_5, % 59.34/8.85 all_322_4) = all_45_2 & element(all_322_4, all_322_6) = 0 & % 59.34/8.85 element(all_322_5, all_322_6) = 0)) & (all_45_1 = 0 | ( ! [v0: $i] % 59.34/8.85 : ! [v1: $i] : ( ~ (below_refl(all_45_8, v0, v1) = 0) | ~ $i(v1) % 59.34/8.85 | ~ $i(v0) | ? [v2: any] : ? [v3: any] : ? [v4: $i] : % 59.34/8.85 (ordered_pair_as_product_element(all_322_6, all_322_6, v0, v1) = % 59.34/8.85 v4 & element(v1, all_322_6) = v3 & element(v0, all_322_6) = v2 % 59.34/8.85 & $i(v4) & ( ~ (v4 = all_45_2) | ~ (v3 = 0) | ~ (v2 = 0)))) % 59.34/8.85 & ! [v0: $i] : ! [v1: $i] : ( ~ % 59.34/8.85 (ordered_pair_as_product_element(all_322_6, all_322_6, v0, v1) = % 59.34/8.85 all_45_2) | ~ $i(v1) | ~ $i(v0) | ? [v2: any] : ? [v3: % 59.34/8.85 any] : ? [v4: any] : (below_refl(all_45_8, v0, v1) = v4 & % 59.34/8.85 element(v1, all_322_6) = v3 & element(v0, all_322_6) = v2 & ( % 59.34/8.85 ~ (v4 = 0) | ~ (v3 = 0) | ~ (v2 = 0))))))) % 59.34/8.85 (35) latt_str(all_45_8) = all_320_4 % 59.34/8.85 (36) latt_str(all_37_0) = all_308_7 % 59.34/8.85 (37) ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : % 59.34/8.85 (v1 = v0 | ~ (empty_carrier(v2) = v1) | ~ (empty_carrier(v2) = v0)) % 59.34/8.85 (38) ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : % 59.34/8.85 ! [v3: $i] : (v1 = v0 | ~ (element(v3, v2) = v1) | ~ (element(v3, v2) % 59.34/8.85 = v0)) % 59.34/8.85 (39) all_65_2 = 0 | ? [v0: any] : ? [v1: any] : ? [v2: $i] : ? [v3: $i] : % 59.34/8.85 (a_1_0_filter_1(all_33_0) = v3 & relation_of_lattice(all_33_0) = v2 & % 59.34/8.85 lattice(all_33_0) = v0 & latt_str(all_33_0) = v1 & $i(v3) & $i(v2) & ( % 59.34/8.85 ~ (v1 = 0) | ~ (v0 = 0) | v3 = v2)) % 59.34/8.85 (40) latt_str(all_37_0) = all_294_7 % 59.34/8.85 (41) latt_str(all_37_0) = all_290_7 % 59.34/8.85 (42) (all_45_0 = 0 & ~ (all_45_1 = 0)) | (all_45_1 = 0 & ~ (all_45_0 = 0)) % 59.34/8.85 (43) latt_str(all_45_8) = all_316_4 % 59.34/8.85 (44) lattice(all_37_0) = all_75_2 % 59.34/8.85 (45) empty_carrier(all_37_0) = all_278_3 % 59.34/8.85 (46) lattice(all_37_0) = all_294_5 % 59.34/8.85 (47) below_refl(all_45_8, all_45_3, all_45_3) = 0 % 59.34/8.85 (48) ! [v0: $i] : ( ~ (lattice(v0) = 0) | ~ $i(v0) | ? [v1: any] : ? [v2: % 59.34/8.85 any] : ? [v3: any] : ? [v4: any] : ? [v5: any] : ? [v6: any] : % 59.34/8.85 ? [v7: any] : ? [v8: any] : (latt_str(v0) = v1 & empty_carrier(v0) = % 59.34/8.85 v2 & join_commutative(v0) = v3 & join_associative(v0) = v4 & % 59.34/8.85 meet_commutative(v0) = v5 & meet_associative(v0) = v6 & % 59.34/8.85 meet_absorbing(v0) = v7 & join_absorbing(v0) = v8 & ( ~ (v1 = 0) | % 59.34/8.85 v2 = 0 | (v8 = 0 & v7 = 0 & v6 = 0 & v5 = 0 & v4 = 0 & v3 = 0)))) % 59.34/8.85 (49) all_81_2 = all_75_2 % 59.34/8.85 (50) empty_carrier(all_37_0) = all_314_6 % 59.34/8.85 (51) lattice(all_45_8) = all_322_8 % 59.34/8.85 (52) ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : % 59.34/8.85 (v1 = v0 | ~ (empty(v2) = v1) | ~ (empty(v2) = v0)) % 59.34/8.85 (53) $i(all_45_3) % 59.34/8.85 (54) all_130_2 = all_125_2 % 59.34/8.85 (55) lattice(all_37_0) = all_302_5 % 59.34/8.85 (56) ! [v0: $i] : ( ~ (lattice(v0) = 0) | ~ $i(v0) | ? [v1: any] : ? [v2: % 59.34/8.85 any] : ? [v3: $i] : ? [v4: $i] : (a_1_0_filter_1(v0) = v4 & % 59.34/8.85 relation_of_lattice(v0) = v3 & latt_str(v0) = v2 & empty_carrier(v0) % 59.34/8.85 = v1 & $i(v4) & $i(v3) & ( ~ (v2 = 0) | v4 = v3 | v1 = 0))) % 59.34/8.85 (57) ! [v0: $i] : ! [v1: $i] : ( ~ (element(v0, v1) = 0) | ~ $i(v1) | ~ % 59.34/8.85 $i(v0) | ? [v2: any] : ? [v3: any] : (empty(v1) = v2 & in(v0, v1) = % 59.34/8.85 v3 & (v3 = 0 | v2 = 0))) % 59.34/8.85 (58) empty_carrier(all_45_8) = all_316_8 % 59.34/8.85 (59) lattice(all_37_0) = all_298_5 % 59.34/8.85 (60) ~ (all_114_0 = 0) | ~ (all_114_2 = 0) % 59.34/8.85 (61) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (the_carrier(v2) % 59.34/8.85 = v1) | ~ (the_carrier(v2) = v0)) % 59.34/8.85 (62) ordered_pair_as_product_element(all_45_6, all_45_6, all_45_4, all_45_3) % 59.34/8.85 = all_45_2 % 59.34/8.85 (63) empty_carrier(all_37_0) = all_298_6 % 59.34/8.85 (64) below_refl(all_45_8, all_45_4, all_45_4) = 0 % 59.34/8.85 (65) ! [v0: $i] : ( ~ (one_sorted_str(v0) = 0) | ~ $i(v0) | ? [v1: any] : % 59.34/8.85 ? [v2: $i] : ? [v3: any] : (the_carrier(v0) = v2 & empty(v2) = v3 & % 59.34/8.85 empty_carrier(v0) = v1 & $i(v2) & ( ~ (v3 = 0) | v1 = 0))) % 59.34/8.85 (66) empty(all_45_6) = all_268_2 % 59.34/8.85 (67) ~ (all_45_7 = 0) % 59.34/8.85 (68) all_85_2 = 0 % 59.34/8.85 (69) $i(all_322_5) % 59.34/8.85 (70) ~ (all_85_1 = 0) | ~ (all_85_2 = 0) | all_85_0 = all_45_2 | all_85_3 = % 59.34/8.85 0 | all_85_4 = 0 % 59.34/8.85 (71) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ( % 59.34/8.85 ~ (ordered_pair_as_product_element(v0, v1, v2, v3) = v4) | ~ $i(v3) | % 59.34/8.85 ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v5: any] : ? [v6: any] : ? % 59.34/8.85 [v7: any] : ? [v8: any] : ? [v9: $i] : (empty(v1) = v6 & empty(v0) = % 59.34/8.85 v5 & element(v3, v1) = v8 & element(v2, v0) = v7 & ordered_pair(v2, % 59.34/8.85 v3) = v9 & $i(v9) & ( ~ (v8 = 0) | ~ (v7 = 0) | v9 = v4 | v6 = 0 % 59.34/8.85 | v5 = 0))) % 59.34/8.85 (72) lattice(all_37_0) = all_282_2 % 59.34/8.85 (73) ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : % 59.34/8.85 (v1 = v0 | ~ (lattice(v2) = v1) | ~ (lattice(v2) = v0)) % 59.34/8.85 (74) ordered_pair(all_45_4, all_45_3) = all_85_0 % 59.34/8.85 (75) element(all_45_4, all_45_6) = 0 % 59.34/8.85 (76) all_85_3 = all_55_1 % 59.34/8.85 (77) $i(all_316_3) % 59.34/8.85 (78) latt_str(all_37_0) = all_282_1 % 59.34/8.85 (79) latt_str(all_37_0) = all_314_7 % 59.34/8.85 (80) ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : % 59.34/8.85 (v1 = v0 | ~ (latt_str(v2) = v1) | ~ (latt_str(v2) = v0)) % 59.34/8.85 (81) latt_str(all_37_0) = 0 % 59.34/8.85 (82) ~ (all_130_2 = 0) | ~ (all_130_3 = 0) | all_130_0 = 0 % 59.34/8.85 (83) all_85_1 = 0 % 59.34/8.85 (84) ~ (all_75_2 = 0) | all_75_0 = 0 | all_75_3 = 0 % 59.34/8.85 (85) latt_str(all_45_8) = all_322_7 % 59.34/8.85 (86) one_sorted_str(all_37_0) = 0 % 59.34/8.85 (87) empty_carrier(all_37_0) = all_308_6 % 59.34/8.85 (88) below_refl(all_45_8, all_45_4, all_45_3) = all_320_0 % 59.34/8.85 (89) all_65_2 = 0 | ? [v0: any] : ? [v1: any] : ? [v2: any] : ? [v3: any] % 59.34/8.85 : ? [v4: any] : ? [v5: any] : ? [v6: any] : ? [v7: any] : % 59.34/8.85 (lattice(all_33_0) = v1 & latt_str(all_33_0) = v0 & % 59.34/8.85 join_commutative(all_33_0) = v2 & join_associative(all_33_0) = v3 & % 59.34/8.85 meet_commutative(all_33_0) = v4 & meet_associative(all_33_0) = v5 & % 59.34/8.85 meet_absorbing(all_33_0) = v6 & join_absorbing(all_33_0) = v7 & ( ~ % 59.34/8.85 (v1 = 0) | ~ (v0 = 0) | (v7 = 0 & v6 = 0 & v5 = 0 & v4 = 0 & v3 = 0 % 59.34/8.85 & v2 = 0))) % 59.34/8.85 (90) empty_carrier(all_37_0) = all_75_3 % 59.34/8.85 (91) lattice(all_37_0) = all_310_5 % 59.34/8.85 (92) all_114_0 = all_55_1 % 59.34/8.85 (93) all_75_3 = 0 | ? [v0: any] : ? [v1: $i] : ? [v2: any] : % 59.34/8.85 (the_carrier(all_37_0) = v1 & one_sorted_str(all_37_0) = v0 & empty(v1) % 59.34/8.85 = v2 & $i(v1) & ( ~ (v2 = 0) | ~ (v0 = 0))) % 59.34/8.85 (94) lattice(all_45_8) = 0 % 59.34/8.85 (95) empty_carrier(all_37_0) = all_302_6 % 59.34/8.85 (96) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! % 59.34/8.85 [v5: $i] : (v1 = v0 | ~ (ordered_pair_as_product_element(v5, v4, v3, % 59.34/8.85 v2) = v1) | ~ (ordered_pair_as_product_element(v5, v4, v3, v2) = % 59.34/8.85 v0)) % 59.34/8.85 (97) the_carrier(all_45_8) = all_318_3 % 59.34/8.85 (98) latt_str(all_37_0) = all_310_7 % 59.34/8.85 (99) ! [v0: $i] : ( ~ (lattice(v0) = 0) | ~ $i(v0) | ? [v1: any] : ? [v2: % 59.34/8.85 any] : ? [v3: $i] : ? [v4: any] : (relation(v3) = v4 & % 59.34/8.85 relation_of_lattice(v0) = v3 & latt_str(v0) = v2 & empty_carrier(v0) % 59.34/8.85 = v1 & $i(v3) & ( ~ (v2 = 0) | v4 = 0 | v1 = 0))) % 59.34/8.85 (100) empty_carrier(all_45_8) = all_45_7 % 59.34/8.85 (101) empty_carrier(all_37_0) = all_282_3 % 59.34/8.85 (102) $i(all_322_4) % 59.34/8.85 (103) the_carrier(all_45_8) = all_45_6 % 59.34/8.85 (104) lattice(all_37_0) = all_278_2 % 59.34/8.85 (105) latt_str(all_45_8) = 0 % 59.34/8.85 (106) latt_str(all_37_0) = all_278_1 % 59.34/8.85 (107) empty_carrier(all_45_8) = all_320_8 % 59.34/8.85 % 59.34/8.85 Begin of proof % 59.34/8.85 | % 59.34/8.85 | BETA: splitting (60) gives: % 59.34/8.85 | % 59.34/8.85 | Case 1: % 59.34/8.85 | | % 59.34/8.85 | | (108) ~ (all_114_0 = 0) % 59.34/8.85 | | % 59.34/8.85 | | REDUCE: (92), (108) imply: % 59.34/8.85 | | (109) ~ (all_55_1 = 0) % 59.34/8.85 | | % 59.34/8.85 | | BETA: splitting (70) gives: % 59.34/8.85 | | % 59.34/8.85 | | Case 1: % 59.34/8.85 | | | % 59.34/8.85 | | | (110) ~ (all_85_1 = 0) % 59.34/8.85 | | | % 59.34/8.85 | | | REDUCE: (83), (110) imply: % 59.34/8.85 | | | (111) $false % 59.34/8.85 | | | % 59.34/8.85 | | | CLOSE: (111) is inconsistent. % 59.34/8.85 | | | % 59.34/8.85 | | Case 2: % 59.34/8.85 | | | % 59.34/8.85 | | | (112) ~ (all_85_2 = 0) | all_85_0 = all_45_2 | all_85_3 = 0 | all_85_4 % 59.34/8.85 | | | = 0 % 59.34/8.85 | | | % 59.34/8.85 | | | BETA: splitting (112) gives: % 59.34/8.85 | | | % 59.34/8.85 | | | Case 1: % 59.34/8.85 | | | | % 59.34/8.85 | | | | (113) ~ (all_85_2 = 0) % 59.34/8.85 | | | | % 59.34/8.85 | | | | REDUCE: (68), (113) imply: % 59.34/8.85 | | | | (114) $false % 59.34/8.85 | | | | % 59.34/8.85 | | | | CLOSE: (114) is inconsistent. % 59.34/8.85 | | | | % 59.34/8.85 | | | Case 2: % 59.34/8.85 | | | | % 59.34/8.85 | | | | (115) all_85_0 = all_45_2 | all_85_3 = 0 | all_85_4 = 0 % 59.34/8.85 | | | | % 59.34/8.85 | | | | BETA: splitting (115) gives: % 59.34/8.85 | | | | % 59.34/8.85 | | | | Case 1: % 59.34/8.85 | | | | | % 59.34/8.85 | | | | | (116) all_85_3 = 0 % 59.34/8.85 | | | | | % 59.34/8.85 | | | | | COMBINE_EQS: (76), (116) imply: % 59.34/8.85 | | | | | (117) all_55_1 = 0 % 59.34/8.85 | | | | | % 59.34/8.85 | | | | | SIMP: (117) implies: % 59.34/8.85 | | | | | (118) all_55_1 = 0 % 59.34/8.85 | | | | | % 59.34/8.85 | | | | | REDUCE: (109), (118) imply: % 59.34/8.85 | | | | | (119) $false % 59.34/8.85 | | | | | % 59.34/8.85 | | | | | CLOSE: (119) is inconsistent. % 59.34/8.85 | | | | | % 59.34/8.85 | | | | Case 2: % 59.34/8.85 | | | | | % 59.34/8.85 | | | | | (120) ~ (all_85_3 = 0) % 59.34/8.85 | | | | | (121) all_85_0 = all_45_2 | all_85_4 = 0 % 59.34/8.85 | | | | | % 59.34/8.85 | | | | | BETA: splitting (121) gives: % 59.34/8.85 | | | | | % 59.34/8.85 | | | | | Case 1: % 59.34/8.85 | | | | | | % 59.34/8.85 | | | | | | (122) all_85_4 = 0 % 59.34/8.85 | | | | | | % 59.34/8.85 | | | | | | COMBINE_EQS: (31), (122) imply: % 59.34/8.85 | | | | | | (123) all_55_1 = 0 % 59.34/8.85 | | | | | | % 59.34/8.85 | | | | | | SIMP: (123) implies: % 59.34/8.85 | | | | | | (124) all_55_1 = 0 % 59.34/8.85 | | | | | | % 59.34/8.85 | | | | | | REDUCE: (109), (124) imply: % 59.34/8.85 | | | | | | (125) $false % 59.34/8.85 | | | | | | % 59.34/8.85 | | | | | | CLOSE: (125) is inconsistent. % 59.34/8.85 | | | | | | % 59.34/8.85 | | | | | Case 2: % 59.34/8.85 | | | | | | % 59.34/8.85 | | | | | | (126) all_85_0 = all_45_2 % 59.34/8.85 | | | | | | (127) ~ (all_85_4 = 0) % 59.34/8.85 | | | | | | % 59.34/8.85 | | | | | | REDUCE: (74), (126) imply: % 59.34/8.85 | | | | | | (128) ordered_pair(all_45_4, all_45_3) = all_45_2 % 59.34/8.85 | | | | | | % 59.34/8.85 | | | | | | GROUND_INST: instantiating (37) with all_294_6, all_302_6, all_37_0, % 59.34/8.85 | | | | | | simplifying with (3), (95) gives: % 59.34/8.85 | | | | | | (129) all_302_6 = all_294_6 % 59.34/8.85 | | | | | | % 59.34/8.85 | | | | | | GROUND_INST: instantiating (37) with all_278_3, all_302_6, all_37_0, % 59.34/8.85 | | | | | | simplifying with (45), (95) gives: % 59.34/8.85 | | | | | | (130) all_302_6 = all_278_3 % 59.34/8.85 | | | | | | % 59.34/8.85 | | | | | | GROUND_INST: instantiating (37) with all_75_3, all_308_6, all_37_0, % 59.34/8.85 | | | | | | simplifying with (87), (90) gives: % 59.34/8.85 | | | | | | (131) all_308_6 = all_75_3 % 59.34/8.85 | | | | | | % 59.34/8.85 | | | | | | GROUND_INST: instantiating (37) with all_282_3, all_308_6, all_37_0, % 59.34/8.85 | | | | | | simplifying with (87), (101) gives: % 59.34/8.85 | | | | | | (132) all_308_6 = all_282_3 % 59.34/8.85 | | | | | | % 59.34/8.85 | | | | | | GROUND_INST: instantiating (37) with all_308_6, all_310_6, all_37_0, % 59.34/8.85 | | | | | | simplifying with (29), (87) gives: % 59.34/8.85 | | | | | | (133) all_310_6 = all_308_6 % 59.34/8.85 | | | | | | % 59.34/8.85 | | | | | | GROUND_INST: instantiating (37) with all_298_6, all_310_6, all_37_0, % 59.34/8.85 | | | | | | simplifying with (29), (63) gives: % 59.34/8.85 | | | | | | (134) all_310_6 = all_298_6 % 59.34/8.85 | | | | | | % 59.34/8.85 | | | | | | GROUND_INST: instantiating (37) with all_294_6, all_310_6, all_37_0, % 59.34/8.85 | | | | | | simplifying with (3), (29) gives: % 59.34/8.85 | | | | | | (135) all_310_6 = all_294_6 % 59.34/8.85 | | | | | | % 59.34/8.85 | | | | | | GROUND_INST: instantiating (37) with all_290_6, all_310_6, all_37_0, % 59.34/8.85 | | | | | | simplifying with (6), (29) gives: % 59.34/8.85 | | | | | | (136) all_310_6 = all_290_6 % 59.34/8.85 | | | | | | % 59.34/8.85 | | | | | | GROUND_INST: instantiating (37) with all_310_6, all_314_6, all_37_0, % 59.34/8.85 | | | | | | simplifying with (29), (50) gives: % 59.34/8.85 | | | | | | (137) all_314_6 = all_310_6 % 59.34/8.85 | | | | | | % 59.34/8.85 | | | | | | GROUND_INST: instantiating (37) with all_284_3, all_314_6, all_37_0, % 59.34/8.85 | | | | | | simplifying with (16), (50) gives: % 59.34/8.85 | | | | | | (138) all_314_6 = all_284_3 % 59.34/8.85 | | | | | | % 59.34/8.86 | | | | | | GROUND_INST: instantiating (37) with all_45_7, all_318_8, all_45_8, % 59.34/8.86 | | | | | | simplifying with (26), (100) gives: % 59.34/8.86 | | | | | | (139) all_318_8 = all_45_7 % 59.34/8.86 | | | | | | % 59.34/8.86 | | | | | | GROUND_INST: instantiating (37) with all_318_8, all_320_8, all_45_8, % 59.34/8.86 | | | | | | simplifying with (26), (107) gives: % 59.34/8.86 | | | | | | (140) all_320_8 = all_318_8 % 59.34/8.86 | | | | | | % 59.34/8.86 | | | | | | GROUND_INST: instantiating (37) with all_320_8, all_322_9, all_45_8, % 59.34/8.86 | | | | | | simplifying with (11), (107) gives: % 59.34/8.86 | | | | | | (141) all_322_9 = all_320_8 % 59.34/8.86 | | | | | | % 59.34/8.86 | | | | | | GROUND_INST: instantiating (37) with all_316_8, all_322_9, all_45_8, % 59.34/8.86 | | | | | | simplifying with (11), (58) gives: % 59.34/8.86 | | | | | | (142) all_322_9 = all_316_8 % 59.34/8.86 | | | | | | % 59.34/8.86 | | | | | | GROUND_INST: instantiating (80) with all_278_1, all_282_1, all_37_0, % 59.34/8.86 | | | | | | simplifying with (78), (106) gives: % 59.34/8.86 | | | | | | (143) all_282_1 = all_278_1 % 59.34/8.86 | | | | | | % 59.34/8.86 | | | | | | GROUND_INST: instantiating (80) with all_282_1, all_284_1, all_37_0, % 59.34/8.86 | | | | | | simplifying with (4), (78) gives: % 59.34/8.86 | | | | | | (144) all_284_1 = all_282_1 % 59.34/8.86 | | | | | | % 59.34/8.86 | | | | | | GROUND_INST: instantiating (80) with all_284_1, all_290_7, all_37_0, % 59.34/8.86 | | | | | | simplifying with (4), (41) gives: % 59.34/8.86 | | | | | | (145) all_290_7 = all_284_1 % 59.34/8.86 | | | | | | % 59.34/8.86 | | | | | | GROUND_INST: instantiating (80) with all_290_7, all_294_7, all_37_0, % 59.34/8.86 | | | | | | simplifying with (40), (41) gives: % 59.34/8.86 | | | | | | (146) all_294_7 = all_290_7 % 59.34/8.86 | | | | | | % 59.34/8.86 | | | | | | GROUND_INST: instantiating (80) with all_294_7, all_298_7, all_37_0, % 59.34/8.86 | | | | | | simplifying with (10), (40) gives: % 59.34/8.86 | | | | | | (147) all_298_7 = all_294_7 % 59.34/8.86 | | | | | | % 59.34/8.86 | | | | | | GROUND_INST: instantiating (80) with all_298_7, all_302_7, all_37_0, % 59.34/8.86 | | | | | | simplifying with (10), (13) gives: % 59.34/8.86 | | | | | | (148) all_302_7 = all_298_7 % 59.34/8.86 | | | | | | % 59.34/8.86 | | | | | | GROUND_INST: instantiating (80) with all_302_7, all_308_7, all_37_0, % 59.34/8.86 | | | | | | simplifying with (13), (36) gives: % 59.34/8.86 | | | | | | (149) all_308_7 = all_302_7 % 59.34/8.86 | | | | | | % 59.34/8.86 | | | | | | GROUND_INST: instantiating (80) with all_308_7, all_310_7, all_37_0, % 59.34/8.86 | | | | | | simplifying with (36), (98) gives: % 59.34/8.86 | | | | | | (150) all_310_7 = all_308_7 % 59.34/8.86 | | | | | | % 59.34/8.86 | | | | | | GROUND_INST: instantiating (80) with 0, all_314_7, all_37_0, % 59.34/8.86 | | | | | | simplifying with (79), (81) gives: % 59.34/8.86 | | | | | | (151) all_314_7 = 0 % 59.34/8.86 | | | | | | % 59.34/8.86 | | | | | | GROUND_INST: instantiating (80) with all_310_7, all_314_7, all_37_0, % 59.34/8.86 | | | | | | simplifying with (79), (98) gives: % 59.34/8.86 | | | | | | (152) all_314_7 = all_310_7 % 59.34/8.86 | | | | | | % 59.34/8.86 | | | | | | GROUND_INST: instantiating (80) with 0, all_320_4, all_45_8, % 59.34/8.86 | | | | | | simplifying with (35), (105) gives: % 59.34/8.86 | | | | | | (153) all_320_4 = 0 % 59.34/8.86 | | | | | | % 59.34/8.86 | | | | | | GROUND_INST: instantiating (80) with all_316_4, all_320_4, all_45_8, % 59.34/8.86 | | | | | | simplifying with (35), (43) gives: % 59.34/8.86 | | | | | | (154) all_320_4 = all_316_4 % 59.34/8.86 | | | | | | % 59.34/8.86 | | | | | | GROUND_INST: instantiating (80) with all_320_4, all_322_7, all_45_8, % 59.34/8.86 | | | | | | simplifying with (35), (85) gives: % 59.34/8.86 | | | | | | (155) all_322_7 = all_320_4 % 59.34/8.86 | | | | | | % 59.34/8.86 | | | | | | GROUND_INST: instantiating (80) with all_318_4, all_322_7, all_45_8, % 59.34/8.86 | | | | | | simplifying with (27), (85) gives: % 59.34/8.86 | | | | | | (156) all_322_7 = all_318_4 % 59.34/8.86 | | | | | | % 59.34/8.86 | | | | | | GROUND_INST: instantiating (73) with all_75_2, all_282_2, all_37_0, % 59.34/8.86 | | | | | | simplifying with (44), (72) gives: % 59.34/8.86 | | | | | | (157) all_282_2 = all_75_2 % 59.34/8.86 | | | | | | % 59.34/8.86 | | | | | | GROUND_INST: instantiating (73) with all_282_2, all_284_2, all_37_0, % 59.34/8.86 | | | | | | simplifying with (20), (72) gives: % 59.34/8.86 | | | | | | (158) all_284_2 = all_282_2 % 59.34/8.86 | | | | | | % 59.34/8.86 | | | | | | GROUND_INST: instantiating (73) with all_284_2, all_294_5, all_37_0, % 59.34/8.86 | | | | | | simplifying with (20), (46) gives: % 59.34/8.86 | | | | | | (159) all_294_5 = all_284_2 % 59.34/8.86 | | | | | | % 59.34/8.86 | | | | | | GROUND_INST: instantiating (73) with all_294_5, all_298_5, all_37_0, % 59.34/8.86 | | | | | | simplifying with (46), (59) gives: % 59.34/8.86 | | | | | | (160) all_298_5 = all_294_5 % 59.34/8.86 | | | | | | % 59.34/8.86 | | | | | | GROUND_INST: instantiating (73) with all_298_5, all_302_5, all_37_0, % 59.34/8.86 | | | | | | simplifying with (55), (59) gives: % 59.34/8.86 | | | | | | (161) all_302_5 = all_298_5 % 59.34/8.86 | | | | | | % 59.34/8.86 | | | | | | GROUND_INST: instantiating (73) with all_302_5, all_310_5, all_37_0, % 59.34/8.86 | | | | | | simplifying with (55), (91) gives: % 59.34/8.86 | | | | | | (162) all_310_5 = all_302_5 % 59.34/8.86 | | | | | | % 59.34/8.86 | | | | | | GROUND_INST: instantiating (73) with all_278_2, all_310_5, all_37_0, % 59.34/8.86 | | | | | | simplifying with (91), (104) gives: % 59.34/8.86 | | | | | | (163) all_310_5 = all_278_2 % 59.34/8.86 | | | | | | % 59.34/8.86 | | | | | | GROUND_INST: instantiating (73) with all_310_5, all_314_5, all_37_0, % 59.34/8.86 | | | | | | simplifying with (28), (91) gives: % 59.34/8.86 | | | | | | (164) all_314_5 = all_310_5 % 59.34/8.86 | | | | | | % 59.34/8.86 | | | | | | GROUND_INST: instantiating (73) with all_308_5, all_314_5, all_37_0, % 59.34/8.86 | | | | | | simplifying with (28), (33) gives: % 59.34/8.86 | | | | | | (165) all_314_5 = all_308_5 % 59.34/8.86 | | | | | | % 59.34/8.86 | | | | | | GROUND_INST: instantiating (73) with 0, all_322_8, all_45_8, % 59.34/8.86 | | | | | | simplifying with (51), (94) gives: % 59.34/8.86 | | | | | | (166) all_322_8 = 0 % 59.34/8.86 | | | | | | % 59.34/8.86 | | | | | | GROUND_INST: instantiating (52) with all_55_1, all_268_1, all_45_6, % 59.34/8.86 | | | | | | simplifying with (2), (18) gives: % 59.34/8.86 | | | | | | (167) all_268_1 = all_55_1 % 59.34/8.86 | | | | | | % 59.34/8.86 | | | | | | GROUND_INST: instantiating (52) with all_268_2, all_268_1, all_45_6, % 59.34/8.86 | | | | | | simplifying with (18), (66) gives: % 59.34/8.86 | | | | | | (168) all_268_1 = all_268_2 % 59.34/8.86 | | | | | | % 59.34/8.86 | | | | | | GROUND_INST: instantiating (61) with all_45_6, all_318_3, all_45_8, % 59.34/8.86 | | | | | | simplifying with (97), (103) gives: % 59.34/8.86 | | | | | | (169) all_318_3 = all_45_6 % 59.34/8.86 | | | | | | % 59.34/8.86 | | | | | | GROUND_INST: instantiating (61) with all_318_3, all_320_3, all_45_8, % 59.34/8.86 | | | | | | simplifying with (14), (97) gives: % 59.34/8.86 | | | | | | (170) all_320_3 = all_318_3 % 59.34/8.86 | | | | | | % 59.34/8.86 | | | | | | GROUND_INST: instantiating (61) with all_320_3, all_322_6, all_45_8, % 59.34/8.86 | | | | | | simplifying with (12), (14) gives: % 59.34/8.86 | | | | | | (171) all_322_6 = all_320_3 % 59.34/8.86 | | | | | | % 59.34/8.86 | | | | | | GROUND_INST: instantiating (61) with all_316_3, all_322_6, all_45_8, % 59.34/8.86 | | | | | | simplifying with (12), (17) gives: % 59.34/8.86 | | | | | | (172) all_322_6 = all_316_3 % 59.34/8.86 | | | | | | % 59.34/8.86 | | | | | | GROUND_INST: instantiating (1) with all_45_0, all_320_0, all_45_3, % 59.34/8.86 | | | | | | all_45_4, all_45_8, simplifying with (25), (88) gives: % 59.34/8.86 | | | | | | (173) all_320_0 = all_45_0 % 59.34/8.86 | | | | | | % 59.34/8.86 | | | | | | COMBINE_EQS: (171), (172) imply: % 59.34/8.86 | | | | | | (174) all_320_3 = all_316_3 % 59.34/8.86 | | | | | | % 59.34/8.86 | | | | | | SIMP: (174) implies: % 59.34/8.86 | | | | | | (175) all_320_3 = all_316_3 % 59.34/8.86 | | | | | | % 59.34/8.86 | | | | | | COMBINE_EQS: (155), (156) imply: % 59.34/8.86 | | | | | | (176) all_320_4 = all_318_4 % 59.34/8.86 | | | | | | % 59.34/8.86 | | | | | | SIMP: (176) implies: % 59.34/8.86 | | | | | | (177) all_320_4 = all_318_4 % 59.34/8.86 | | | | | | % 59.34/8.86 | | | | | | COMBINE_EQS: (141), (142) imply: % 59.34/8.86 | | | | | | (178) all_320_8 = all_316_8 % 59.34/8.86 | | | | | | % 59.34/8.86 | | | | | | SIMP: (178) implies: % 59.34/8.86 | | | | | | (179) all_320_8 = all_316_8 % 59.34/8.86 | | | | | | % 59.34/8.86 | | | | | | COMBINE_EQS: (170), (175) imply: % 59.34/8.86 | | | | | | (180) all_318_3 = all_316_3 % 59.34/8.86 | | | | | | % 59.34/8.86 | | | | | | SIMP: (180) implies: % 59.34/8.86 | | | | | | (181) all_318_3 = all_316_3 % 59.34/8.86 | | | | | | % 59.34/8.86 | | | | | | COMBINE_EQS: (153), (177) imply: % 59.34/8.86 | | | | | | (182) all_318_4 = 0 % 59.34/8.86 | | | | | | % 59.34/8.86 | | | | | | COMBINE_EQS: (154), (177) imply: % 59.34/8.86 | | | | | | (183) all_318_4 = all_316_4 % 59.34/8.86 | | | | | | % 59.34/8.86 | | | | | | COMBINE_EQS: (140), (179) imply: % 59.34/8.86 | | | | | | (184) all_318_8 = all_316_8 % 59.34/8.86 | | | | | | % 59.34/8.86 | | | | | | SIMP: (184) implies: % 59.34/8.86 | | | | | | (185) all_318_8 = all_316_8 % 59.34/8.86 | | | | | | % 59.34/8.86 | | | | | | COMBINE_EQS: (169), (181) imply: % 59.34/8.86 | | | | | | (186) all_316_3 = all_45_6 % 59.34/8.86 | | | | | | % 59.34/8.86 | | | | | | COMBINE_EQS: (182), (183) imply: % 59.34/8.86 | | | | | | (187) all_316_4 = 0 % 59.34/8.86 | | | | | | % 59.34/8.86 | | | | | | COMBINE_EQS: (139), (185) imply: % 59.34/8.86 | | | | | | (188) all_316_8 = all_45_7 % 59.34/8.86 | | | | | | % 59.34/8.86 | | | | | | COMBINE_EQS: (164), (165) imply: % 59.34/8.86 | | | | | | (189) all_310_5 = all_308_5 % 59.34/8.86 | | | | | | % 59.34/8.86 | | | | | | SIMP: (189) implies: % 59.34/8.86 | | | | | | (190) all_310_5 = all_308_5 % 59.34/8.86 | | | | | | % 59.34/8.86 | | | | | | COMBINE_EQS: (137), (138) imply: % 59.34/8.86 | | | | | | (191) all_310_6 = all_284_3 % 59.34/8.86 | | | | | | % 59.34/8.86 | | | | | | SIMP: (191) implies: % 59.34/8.86 | | | | | | (192) all_310_6 = all_284_3 % 59.34/8.86 | | | | | | % 59.34/8.86 | | | | | | COMBINE_EQS: (151), (152) imply: % 59.34/8.86 | | | | | | (193) all_310_7 = 0 % 59.34/8.86 | | | | | | % 59.34/8.86 | | | | | | SIMP: (193) implies: % 59.34/8.86 | | | | | | (194) all_310_7 = 0 % 59.34/8.86 | | | | | | % 59.34/8.86 | | | | | | COMBINE_EQS: (162), (190) imply: % 59.34/8.86 | | | | | | (195) all_308_5 = all_302_5 % 59.34/8.86 | | | | | | % 59.34/8.86 | | | | | | COMBINE_EQS: (163), (190) imply: % 59.34/8.86 | | | | | | (196) all_308_5 = all_278_2 % 59.34/8.86 | | | | | | % 59.34/8.86 | | | | | | COMBINE_EQS: (133), (134) imply: % 59.34/8.86 | | | | | | (197) all_308_6 = all_298_6 % 59.34/8.86 | | | | | | % 59.34/8.86 | | | | | | SIMP: (197) implies: % 59.34/8.86 | | | | | | (198) all_308_6 = all_298_6 % 59.34/8.86 | | | | | | % 59.34/8.86 | | | | | | COMBINE_EQS: (134), (192) imply: % 59.34/8.86 | | | | | | (199) all_298_6 = all_284_3 % 59.34/8.86 | | | | | | % 59.34/8.86 | | | | | | COMBINE_EQS: (134), (136) imply: % 59.34/8.86 | | | | | | (200) all_298_6 = all_290_6 % 59.34/8.86 | | | | | | % 59.34/8.86 | | | | | | COMBINE_EQS: (134), (135) imply: % 59.34/8.86 | | | | | | (201) all_298_6 = all_294_6 % 59.34/8.86 | | | | | | % 59.34/8.86 | | | | | | COMBINE_EQS: (150), (194) imply: % 59.34/8.86 | | | | | | (202) all_308_7 = 0 % 59.34/8.86 | | | | | | % 59.34/8.86 | | | | | | SIMP: (202) implies: % 59.34/8.86 | | | | | | (203) all_308_7 = 0 % 59.34/8.86 | | | | | | % 59.34/8.86 | | | | | | COMBINE_EQS: (195), (196) imply: % 59.34/8.86 | | | | | | (204) all_302_5 = all_278_2 % 59.34/8.86 | | | | | | % 59.34/8.86 | | | | | | SIMP: (204) implies: % 59.34/8.86 | | | | | | (205) all_302_5 = all_278_2 % 59.34/8.86 | | | | | | % 59.34/8.86 | | | | | | COMBINE_EQS: (131), (132) imply: % 59.34/8.86 | | | | | | (206) all_282_3 = all_75_3 % 59.34/8.86 | | | | | | % 59.34/8.86 | | | | | | COMBINE_EQS: (132), (198) imply: % 59.34/8.86 | | | | | | (207) all_298_6 = all_282_3 % 59.34/8.86 | | | | | | % 59.34/8.86 | | | | | | SIMP: (207) implies: % 59.34/8.86 | | | | | | (208) all_298_6 = all_282_3 % 59.34/8.86 | | | | | | % 59.34/8.86 | | | | | | COMBINE_EQS: (149), (203) imply: % 59.34/8.86 | | | | | | (209) all_302_7 = 0 % 59.34/8.86 | | | | | | % 59.34/8.86 | | | | | | SIMP: (209) implies: % 59.34/8.86 | | | | | | (210) all_302_7 = 0 % 59.34/8.86 | | | | | | % 59.34/8.86 | | | | | | COMBINE_EQS: (161), (205) imply: % 59.34/8.86 | | | | | | (211) all_298_5 = all_278_2 % 59.34/8.86 | | | | | | % 59.34/8.86 | | | | | | SIMP: (211) implies: % 59.34/8.86 | | | | | | (212) all_298_5 = all_278_2 % 59.34/8.86 | | | | | | % 59.34/8.86 | | | | | | COMBINE_EQS: (129), (130) imply: % 59.34/8.86 | | | | | | (213) all_294_6 = all_278_3 % 59.34/8.86 | | | | | | % 59.34/8.86 | | | | | | SIMP: (213) implies: % 59.34/8.86 | | | | | | (214) all_294_6 = all_278_3 % 59.34/8.86 | | | | | | % 59.34/8.86 | | | | | | COMBINE_EQS: (148), (210) imply: % 59.34/8.86 | | | | | | (215) all_298_7 = 0 % 59.34/8.86 | | | | | | % 59.34/8.86 | | | | | | SIMP: (215) implies: % 59.34/8.86 | | | | | | (216) all_298_7 = 0 % 59.34/8.86 | | | | | | % 59.34/8.86 | | | | | | COMBINE_EQS: (160), (212) imply: % 59.34/8.86 | | | | | | (217) all_294_5 = all_278_2 % 59.34/8.86 | | | | | | % 59.34/8.86 | | | | | | SIMP: (217) implies: % 59.34/8.86 | | | | | | (218) all_294_5 = all_278_2 % 59.34/8.86 | | | | | | % 59.34/8.86 | | | | | | COMBINE_EQS: (200), (208) imply: % 59.34/8.86 | | | | | | (219) all_290_6 = all_282_3 % 59.34/8.86 | | | | | | % 59.34/8.86 | | | | | | COMBINE_EQS: (199), (200) imply: % 59.34/8.86 | | | | | | (220) all_290_6 = all_284_3 % 59.34/8.86 | | | | | | % 59.34/8.86 | | | | | | COMBINE_EQS: (200), (201) imply: % 59.34/8.86 | | | | | | (221) all_294_6 = all_290_6 % 59.34/8.86 | | | | | | % 59.34/8.86 | | | | | | SIMP: (221) implies: % 59.34/8.86 | | | | | | (222) all_294_6 = all_290_6 % 59.34/8.86 | | | | | | % 59.34/8.86 | | | | | | COMBINE_EQS: (147), (216) imply: % 59.34/8.86 | | | | | | (223) all_294_7 = 0 % 59.34/8.86 | | | | | | % 59.34/8.86 | | | | | | SIMP: (223) implies: % 59.34/8.86 | | | | | | (224) all_294_7 = 0 % 59.34/8.86 | | | | | | % 59.34/8.86 | | | | | | COMBINE_EQS: (159), (218) imply: % 59.34/8.86 | | | | | | (225) all_284_2 = all_278_2 % 59.34/8.86 | | | | | | % 59.34/8.86 | | | | | | SIMP: (225) implies: % 59.34/8.86 | | | | | | (226) all_284_2 = all_278_2 % 59.34/8.86 | | | | | | % 59.34/8.86 | | | | | | COMBINE_EQS: (214), (222) imply: % 59.34/8.86 | | | | | | (227) all_290_6 = all_278_3 % 59.34/8.86 | | | | | | % 59.34/8.86 | | | | | | SIMP: (227) implies: % 59.34/8.86 | | | | | | (228) all_290_6 = all_278_3 % 59.34/8.86 | | | | | | % 59.34/8.86 | | | | | | COMBINE_EQS: (146), (224) imply: % 59.34/8.86 | | | | | | (229) all_290_7 = 0 % 59.34/8.86 | | | | | | % 59.34/8.86 | | | | | | SIMP: (229) implies: % 59.34/8.86 | | | | | | (230) all_290_7 = 0 % 59.34/8.86 | | | | | | % 59.34/8.86 | | | | | | COMBINE_EQS: (219), (220) imply: % 59.34/8.86 | | | | | | (231) all_284_3 = all_282_3 % 59.34/8.86 | | | | | | % 59.34/8.86 | | | | | | COMBINE_EQS: (220), (228) imply: % 59.34/8.86 | | | | | | (232) all_284_3 = all_278_3 % 59.34/8.86 | | | | | | % 59.34/8.86 | | | | | | COMBINE_EQS: (145), (230) imply: % 59.34/8.86 | | | | | | (233) all_284_1 = 0 % 59.34/8.86 | | | | | | % 59.34/8.86 | | | | | | SIMP: (233) implies: % 59.34/8.86 | | | | | | (234) all_284_1 = 0 % 59.34/8.86 | | | | | | % 59.34/8.86 | | | | | | COMBINE_EQS: (144), (234) imply: % 59.34/8.86 | | | | | | (235) all_282_1 = 0 % 59.34/8.86 | | | | | | % 59.34/8.86 | | | | | | SIMP: (235) implies: % 59.34/8.86 | | | | | | (236) all_282_1 = 0 % 59.34/8.86 | | | | | | % 59.34/8.86 | | | | | | COMBINE_EQS: (158), (226) imply: % 59.34/8.86 | | | | | | (237) all_282_2 = all_278_2 % 59.34/8.86 | | | | | | % 59.34/8.86 | | | | | | SIMP: (237) implies: % 59.34/8.86 | | | | | | (238) all_282_2 = all_278_2 % 59.34/8.86 | | | | | | % 59.34/8.86 | | | | | | COMBINE_EQS: (231), (232) imply: % 59.34/8.86 | | | | | | (239) all_282_3 = all_278_3 % 59.34/8.86 | | | | | | % 59.34/8.86 | | | | | | SIMP: (239) implies: % 59.34/8.86 | | | | | | (240) all_282_3 = all_278_3 % 59.34/8.86 | | | | | | % 59.34/8.86 | | | | | | COMBINE_EQS: (143), (236) imply: % 59.34/8.86 | | | | | | (241) all_278_1 = 0 % 59.34/8.86 | | | | | | % 59.34/8.86 | | | | | | SIMP: (241) implies: % 59.34/8.86 | | | | | | (242) all_278_1 = 0 % 59.34/8.86 | | | | | | % 59.34/8.86 | | | | | | COMBINE_EQS: (157), (238) imply: % 59.34/8.86 | | | | | | (243) all_278_2 = all_75_2 % 59.34/8.86 | | | | | | % 59.34/8.86 | | | | | | COMBINE_EQS: (206), (240) imply: % 59.34/8.86 | | | | | | (244) all_278_3 = all_75_3 % 59.34/8.86 | | | | | | % 59.34/8.86 | | | | | | COMBINE_EQS: (167), (168) imply: % 59.34/8.86 | | | | | | (245) all_268_2 = all_55_1 % 59.34/8.86 | | | | | | % 59.34/8.86 | | | | | | SIMP: (245) implies: % 59.34/8.86 | | | | | | (246) all_268_2 = all_55_1 % 59.34/8.86 | | | | | | % 59.34/8.86 | | | | | | COMBINE_EQS: (142), (188) imply: % 59.34/8.86 | | | | | | (247) all_322_9 = all_45_7 % 59.34/8.86 | | | | | | % 59.34/8.86 | | | | | | COMBINE_EQS: (156), (182) imply: % 59.34/8.86 | | | | | | (248) all_322_7 = 0 % 59.34/8.86 | | | | | | % 59.34/8.86 | | | | | | COMBINE_EQS: (172), (186) imply: % 59.34/8.86 | | | | | | (249) all_322_6 = all_45_6 % 59.34/8.86 | | | | | | % 59.34/8.86 | | | | | | REDUCE: (77), (186) imply: % 59.34/8.86 | | | | | | (250) $i(all_45_6) % 59.34/8.86 | | | | | | % 59.34/8.86 | | | | | | BETA: splitting (42) gives: % 59.34/8.86 | | | | | | % 59.34/8.86 | | | | | | Case 1: % 59.34/8.86 | | | | | | | % 59.34/8.86 | | | | | | | (251) all_45_0 = 0 & ~ (all_45_1 = 0) % 59.34/8.86 | | | | | | | % 59.34/8.86 | | | | | | | ALPHA: (251) implies: % 59.34/8.86 | | | | | | | (252) all_45_0 = 0 % 59.34/8.86 | | | | | | | (253) ~ (all_45_1 = 0) % 59.34/8.86 | | | | | | | % 59.34/8.86 | | | | | | | REDUCE: (25), (252) imply: % 59.34/8.86 | | | | | | | (254) below_refl(all_45_8, all_45_4, all_45_3) = 0 % 59.34/8.86 | | | | | | | % 59.34/8.86 | | | | | | | BETA: splitting (34) gives: % 59.34/8.86 | | | | | | | % 59.34/8.86 | | | | | | | Case 1: % 59.34/8.86 | | | | | | | | % 59.34/8.86 | | | | | | | | (255) ~ (all_322_7 = 0) % 59.34/8.86 | | | | | | | | % 59.34/8.86 | | | | | | | | REDUCE: (248), (255) imply: % 59.34/8.86 | | | | | | | | (256) $false % 59.34/8.86 | | | | | | | | % 59.34/8.86 | | | | | | | | CLOSE: (256) is inconsistent. % 59.34/8.86 | | | | | | | | % 59.34/8.86 | | | | | | | Case 2: % 59.34/8.86 | | | | | | | | % 59.34/8.86 | | | | | | | | (257) ~ (all_322_8 = 0) | all_322_9 = 0 | (( ~ (all_45_1 = % 59.34/8.86 | | | | | | | | 0) | (all_322_0 = 0 & all_322_1 = all_45_2 & % 59.34/8.86 | | | | | | | | all_322_2 = 0 & all_322_3 = 0 & % 59.34/8.86 | | | | | | | | below_refl(all_45_8, all_322_5, all_322_4) = 0 & % 59.34/8.86 | | | | | | | | ordered_pair_as_product_element(all_322_6, % 59.34/8.86 | | | | | | | | all_322_6, all_322_5, all_322_4) = all_45_2 & % 59.34/8.86 | | | | | | | | element(all_322_4, all_322_6) = 0 & % 59.34/8.86 | | | | | | | | element(all_322_5, all_322_6) = 0)) & (all_45_1 = % 59.34/8.86 | | | | | | | | 0 | ( ! [v0: $i] : ! [v1: $i] : ( ~ % 59.34/8.86 | | | | | | | | (below_refl(all_45_8, v0, v1) = 0) | ~ $i(v1) % 59.34/8.86 | | | | | | | | | ~ $i(v0) | ? [v2: any] : ? [v3: any] : ? % 59.34/8.86 | | | | | | | | [v4: $i] : % 59.34/8.86 | | | | | | | | (ordered_pair_as_product_element(all_322_6, % 59.34/8.86 | | | | | | | | all_322_6, v0, v1) = v4 & element(v1, % 59.34/8.86 | | | | | | | | all_322_6) = v3 & element(v0, all_322_6) = % 59.34/8.86 | | | | | | | | v2 & $i(v4) & ( ~ (v4 = all_45_2) | ~ (v3 = % 59.34/8.86 | | | | | | | | 0) | ~ (v2 = 0)))) & ! [v0: $i] : ! % 59.34/8.86 | | | | | | | | [v1: $i] : ( ~ % 59.34/8.86 | | | | | | | | (ordered_pair_as_product_element(all_322_6, % 59.34/8.86 | | | | | | | | all_322_6, v0, v1) = all_45_2) | ~ $i(v1) % 59.34/8.86 | | | | | | | | | ~ $i(v0) | ? [v2: any] : ? [v3: any] : ? % 59.34/8.86 | | | | | | | | [v4: any] : (below_refl(all_45_8, v0, v1) = v4 % 59.34/8.86 | | | | | | | | & element(v1, all_322_6) = v3 & element(v0, % 59.34/8.86 | | | | | | | | all_322_6) = v2 & ( ~ (v4 = 0) | ~ (v3 = % 59.34/8.86 | | | | | | | | 0) | ~ (v2 = 0))))))) % 59.34/8.86 | | | | | | | | % 59.34/8.86 | | | | | | | | BETA: splitting (257) gives: % 59.34/8.86 | | | | | | | | % 59.34/8.86 | | | | | | | | Case 1: % 59.34/8.86 | | | | | | | | | % 59.34/8.86 | | | | | | | | | (258) ~ (all_322_8 = 0) % 59.34/8.86 | | | | | | | | | % 59.34/8.86 | | | | | | | | | REDUCE: (166), (258) imply: % 59.34/8.86 | | | | | | | | | (259) $false % 59.34/8.86 | | | | | | | | | % 59.34/8.86 | | | | | | | | | CLOSE: (259) is inconsistent. % 59.34/8.86 | | | | | | | | | % 59.34/8.86 | | | | | | | | Case 2: % 59.34/8.86 | | | | | | | | | % 59.34/8.87 | | | | | | | | | (260) all_322_9 = 0 | (( ~ (all_45_1 = 0) | (all_322_0 = 0 % 59.34/8.87 | | | | | | | | | & all_322_1 = all_45_2 & all_322_2 = 0 & % 59.34/8.87 | | | | | | | | | all_322_3 = 0 & below_refl(all_45_8, all_322_5, % 59.34/8.87 | | | | | | | | | all_322_4) = 0 & % 59.34/8.87 | | | | | | | | | ordered_pair_as_product_element(all_322_6, % 59.34/8.87 | | | | | | | | | all_322_6, all_322_5, all_322_4) = all_45_2 & % 59.34/8.87 | | | | | | | | | element(all_322_4, all_322_6) = 0 & % 59.34/8.87 | | | | | | | | | element(all_322_5, all_322_6) = 0)) & (all_45_1 % 59.34/8.87 | | | | | | | | | = 0 | ( ! [v0: $i] : ! [v1: $i] : ( ~ % 59.34/8.87 | | | | | | | | | (below_refl(all_45_8, v0, v1) = 0) | ~ % 59.34/8.87 | | | | | | | | | $i(v1) | ~ $i(v0) | ? [v2: any] : ? [v3: % 59.34/8.87 | | | | | | | | | any] : ? [v4: $i] : % 59.34/8.87 | | | | | | | | | (ordered_pair_as_product_element(all_322_6, % 59.34/8.87 | | | | | | | | | all_322_6, v0, v1) = v4 & element(v1, % 59.34/8.87 | | | | | | | | | all_322_6) = v3 & element(v0, all_322_6) % 59.34/8.87 | | | | | | | | | = v2 & $i(v4) & ( ~ (v4 = all_45_2) | ~ % 59.34/8.87 | | | | | | | | | (v3 = 0) | ~ (v2 = 0)))) & ! [v0: $i] : % 59.34/8.87 | | | | | | | | | ! [v1: $i] : ( ~ % 59.34/8.87 | | | | | | | | | (ordered_pair_as_product_element(all_322_6, % 59.34/8.87 | | | | | | | | | all_322_6, v0, v1) = all_45_2) | ~ % 59.34/8.87 | | | | | | | | | $i(v1) | ~ $i(v0) | ? [v2: any] : ? [v3: % 59.34/8.87 | | | | | | | | | any] : ? [v4: any] : (below_refl(all_45_8, % 59.34/8.87 | | | | | | | | | v0, v1) = v4 & element(v1, all_322_6) = % 59.34/8.87 | | | | | | | | | v3 & element(v0, all_322_6) = v2 & ( ~ (v4 % 59.34/8.87 | | | | | | | | | = 0) | ~ (v3 = 0) | ~ (v2 = 0))))))) % 59.34/8.87 | | | | | | | | | % 59.34/8.87 | | | | | | | | | BETA: splitting (260) gives: % 59.34/8.87 | | | | | | | | | % 59.34/8.87 | | | | | | | | | Case 1: % 59.34/8.87 | | | | | | | | | | % 59.34/8.87 | | | | | | | | | | (261) all_322_9 = 0 % 59.34/8.87 | | | | | | | | | | % 59.34/8.87 | | | | | | | | | | COMBINE_EQS: (247), (261) imply: % 59.34/8.87 | | | | | | | | | | (262) all_45_7 = 0 % 59.34/8.87 | | | | | | | | | | % 59.34/8.87 | | | | | | | | | | REDUCE: (67), (262) imply: % 59.34/8.87 | | | | | | | | | | (263) $false % 59.34/8.87 | | | | | | | | | | % 59.34/8.87 | | | | | | | | | | CLOSE: (263) is inconsistent. % 59.34/8.87 | | | | | | | | | | % 59.34/8.87 | | | | | | | | | Case 2: % 59.34/8.87 | | | | | | | | | | % 59.34/8.87 | | | | | | | | | | (264) ( ~ (all_45_1 = 0) | (all_322_0 = 0 & all_322_1 = % 59.34/8.87 | | | | | | | | | | all_45_2 & all_322_2 = 0 & all_322_3 = 0 & % 59.34/8.87 | | | | | | | | | | below_refl(all_45_8, all_322_5, all_322_4) = 0 % 59.34/8.87 | | | | | | | | | | & ordered_pair_as_product_element(all_322_6, % 59.34/8.87 | | | | | | | | | | all_322_6, all_322_5, all_322_4) = all_45_2 & % 59.34/8.87 | | | | | | | | | | element(all_322_4, all_322_6) = 0 & % 59.34/8.87 | | | | | | | | | | element(all_322_5, all_322_6) = 0)) & (all_45_1 % 59.34/8.87 | | | | | | | | | | = 0 | ( ! [v0: $i] : ! [v1: $i] : ( ~ % 59.34/8.87 | | | | | | | | | | (below_refl(all_45_8, v0, v1) = 0) | ~ % 59.34/8.87 | | | | | | | | | | $i(v1) | ~ $i(v0) | ? [v2: any] : ? [v3: % 59.34/8.87 | | | | | | | | | | any] : ? [v4: $i] : % 59.34/8.87 | | | | | | | | | | (ordered_pair_as_product_element(all_322_6, % 59.34/8.87 | | | | | | | | | | all_322_6, v0, v1) = v4 & element(v1, % 59.34/8.87 | | | | | | | | | | all_322_6) = v3 & element(v0, all_322_6) % 59.34/8.87 | | | | | | | | | | = v2 & $i(v4) & ( ~ (v4 = all_45_2) | ~ % 59.34/8.87 | | | | | | | | | | (v3 = 0) | ~ (v2 = 0)))) & ! [v0: $i] : % 59.34/8.87 | | | | | | | | | | ! [v1: $i] : ( ~ % 59.34/8.87 | | | | | | | | | | (ordered_pair_as_product_element(all_322_6, % 59.34/8.87 | | | | | | | | | | all_322_6, v0, v1) = all_45_2) | ~ % 59.34/8.87 | | | | | | | | | | $i(v1) | ~ $i(v0) | ? [v2: any] : ? [v3: % 59.34/8.87 | | | | | | | | | | any] : ? [v4: any] : (below_refl(all_45_8, % 59.34/8.87 | | | | | | | | | | v0, v1) = v4 & element(v1, all_322_6) = % 59.34/8.87 | | | | | | | | | | v3 & element(v0, all_322_6) = v2 & ( ~ (v4 % 59.34/8.87 | | | | | | | | | | = 0) | ~ (v3 = 0) | ~ (v2 = 0)))))) % 59.34/8.87 | | | | | | | | | | % 59.34/8.87 | | | | | | | | | | ALPHA: (264) implies: % 59.34/8.87 | | | | | | | | | | (265) all_45_1 = 0 | ( ! [v0: $i] : ! [v1: $i] : ( ~ % 59.34/8.87 | | | | | | | | | | (below_refl(all_45_8, v0, v1) = 0) | ~ $i(v1) % 59.34/8.87 | | | | | | | | | | | ~ $i(v0) | ? [v2: any] : ? [v3: any] : ? % 59.34/8.87 | | | | | | | | | | [v4: $i] : % 59.34/8.87 | | | | | | | | | | (ordered_pair_as_product_element(all_322_6, % 59.34/8.87 | | | | | | | | | | all_322_6, v0, v1) = v4 & element(v1, % 59.34/8.87 | | | | | | | | | | all_322_6) = v3 & element(v0, all_322_6) = % 59.34/8.87 | | | | | | | | | | v2 & $i(v4) & ( ~ (v4 = all_45_2) | ~ (v3 = % 59.34/8.87 | | | | | | | | | | 0) | ~ (v2 = 0)))) & ! [v0: $i] : ! % 59.34/8.87 | | | | | | | | | | [v1: $i] : ( ~ % 59.34/8.87 | | | | | | | | | | (ordered_pair_as_product_element(all_322_6, % 59.34/8.87 | | | | | | | | | | all_322_6, v0, v1) = all_45_2) | ~ $i(v1) % 59.34/8.87 | | | | | | | | | | | ~ $i(v0) | ? [v2: any] : ? [v3: any] : ? % 59.34/8.87 | | | | | | | | | | [v4: any] : (below_refl(all_45_8, v0, v1) = v4 % 59.34/8.87 | | | | | | | | | | & element(v1, all_322_6) = v3 & element(v0, % 59.34/8.87 | | | | | | | | | | all_322_6) = v2 & ( ~ (v4 = 0) | ~ (v3 = % 59.34/8.87 | | | | | | | | | | 0) | ~ (v2 = 0))))) % 59.34/8.87 | | | | | | | | | | % 59.34/8.87 | | | | | | | | | | BETA: splitting (265) gives: % 59.34/8.87 | | | | | | | | | | % 59.34/8.87 | | | | | | | | | | Case 1: % 59.34/8.87 | | | | | | | | | | | % 59.34/8.87 | | | | | | | | | | | (266) all_45_1 = 0 % 59.34/8.87 | | | | | | | | | | | % 59.34/8.87 | | | | | | | | | | | REDUCE: (253), (266) imply: % 59.34/8.87 | | | | | | | | | | | (267) $false % 59.34/8.87 | | | | | | | | | | | % 59.34/8.87 | | | | | | | | | | | CLOSE: (267) is inconsistent. % 59.34/8.87 | | | | | | | | | | | % 59.34/8.87 | | | | | | | | | | Case 2: % 59.34/8.87 | | | | | | | | | | | % 59.34/8.87 | | | | | | | | | | | (268) ! [v0: $i] : ! [v1: $i] : ( ~ % 59.34/8.87 | | | | | | | | | | | (below_refl(all_45_8, v0, v1) = 0) | ~ $i(v1) | % 59.34/8.87 | | | | | | | | | | | ~ $i(v0) | ? [v2: any] : ? [v3: any] : ? % 59.34/8.87 | | | | | | | | | | | [v4: $i] : % 59.34/8.87 | | | | | | | | | | | (ordered_pair_as_product_element(all_322_6, % 59.34/8.87 | | | | | | | | | | | all_322_6, v0, v1) = v4 & element(v1, % 59.34/8.87 | | | | | | | | | | | all_322_6) = v3 & element(v0, all_322_6) = % 59.34/8.87 | | | | | | | | | | | v2 & $i(v4) & ( ~ (v4 = all_45_2) | ~ (v3 = % 59.34/8.87 | | | | | | | | | | | 0) | ~ (v2 = 0)))) & ! [v0: $i] : ! % 59.34/8.87 | | | | | | | | | | | [v1: $i] : ( ~ % 59.34/8.87 | | | | | | | | | | | (ordered_pair_as_product_element(all_322_6, % 59.34/8.87 | | | | | | | | | | | all_322_6, v0, v1) = all_45_2) | ~ $i(v1) | % 59.34/8.87 | | | | | | | | | | | ~ $i(v0) | ? [v2: any] : ? [v3: any] : ? % 59.34/8.87 | | | | | | | | | | | [v4: any] : (below_refl(all_45_8, v0, v1) = v4 & % 59.34/8.87 | | | | | | | | | | | element(v1, all_322_6) = v3 & element(v0, % 59.34/8.87 | | | | | | | | | | | all_322_6) = v2 & ( ~ (v4 = 0) | ~ (v3 = 0) % 59.34/8.87 | | | | | | | | | | | | ~ (v2 = 0)))) % 59.34/8.87 | | | | | | | | | | | % 59.34/8.87 | | | | | | | | | | | ALPHA: (268) implies: % 59.34/8.87 | | | | | | | | | | | (269) ! [v0: $i] : ! [v1: $i] : ( ~ % 59.34/8.87 | | | | | | | | | | | (below_refl(all_45_8, v0, v1) = 0) | ~ $i(v1) | % 59.34/8.87 | | | | | | | | | | | ~ $i(v0) | ? [v2: any] : ? [v3: any] : ? % 59.34/8.87 | | | | | | | | | | | [v4: $i] : % 59.34/8.87 | | | | | | | | | | | (ordered_pair_as_product_element(all_322_6, % 59.34/8.87 | | | | | | | | | | | all_322_6, v0, v1) = v4 & element(v1, % 59.34/8.87 | | | | | | | | | | | all_322_6) = v3 & element(v0, all_322_6) = % 59.34/8.87 | | | | | | | | | | | v2 & $i(v4) & ( ~ (v4 = all_45_2) | ~ (v3 = % 59.34/8.87 | | | | | | | | | | | 0) | ~ (v2 = 0)))) % 59.34/8.87 | | | | | | | | | | | % 59.34/8.87 | | | | | | | | | | | GROUND_INST: instantiating (269) with all_45_4, all_45_4, % 59.34/8.87 | | | | | | | | | | | simplifying with (22), (64) gives: % 59.34/8.87 | | | | | | | | | | | (270) ? [v0: any] : ? [v1: any] : ? [v2: $i] : % 59.34/8.87 | | | | | | | | | | | (ordered_pair_as_product_element(all_322_6, % 59.34/8.87 | | | | | | | | | | | all_322_6, all_45_4, all_45_4) = v2 & % 59.34/8.87 | | | | | | | | | | | element(all_45_4, all_322_6) = v1 & % 59.34/8.87 | | | | | | | | | | | element(all_45_4, all_322_6) = v0 & $i(v2) & ( ~ % 59.34/8.87 | | | | | | | | | | | (v2 = all_45_2) | ~ (v1 = 0) | ~ (v0 = 0))) % 59.34/8.87 | | | | | | | | | | | % 59.34/8.87 | | | | | | | | | | | GROUND_INST: instantiating (269) with all_45_3, all_45_3, % 59.34/8.87 | | | | | | | | | | | simplifying with (47), (53) gives: % 59.34/8.87 | | | | | | | | | | | (271) ? [v0: any] : ? [v1: any] : ? [v2: $i] : % 59.34/8.87 | | | | | | | | | | | (ordered_pair_as_product_element(all_322_6, % 59.34/8.87 | | | | | | | | | | | all_322_6, all_45_3, all_45_3) = v2 & % 59.34/8.87 | | | | | | | | | | | element(all_45_3, all_322_6) = v1 & % 59.34/8.87 | | | | | | | | | | | element(all_45_3, all_322_6) = v0 & $i(v2) & ( ~ % 59.34/8.87 | | | | | | | | | | | (v2 = all_45_2) | ~ (v1 = 0) | ~ (v0 = 0))) % 59.34/8.87 | | | | | | | | | | | % 59.34/8.87 | | | | | | | | | | | DELTA: instantiating (271) with fresh symbols all_516_0, % 59.34/8.87 | | | | | | | | | | | all_516_1, all_516_2 gives: % 59.34/8.87 | | | | | | | | | | | (272) ordered_pair_as_product_element(all_322_6, % 59.34/8.87 | | | | | | | | | | | all_322_6, all_45_3, all_45_3) = all_516_0 & % 59.34/8.87 | | | | | | | | | | | element(all_45_3, all_322_6) = all_516_1 & % 59.34/8.87 | | | | | | | | | | | element(all_45_3, all_322_6) = all_516_2 & % 59.34/8.87 | | | | | | | | | | | $i(all_516_0) & ( ~ (all_516_0 = all_45_2) | ~ % 59.34/8.87 | | | | | | | | | | | (all_516_1 = 0) | ~ (all_516_2 = 0)) % 59.34/8.87 | | | | | | | | | | | % 59.34/8.87 | | | | | | | | | | | ALPHA: (272) implies: % 59.34/8.87 | | | | | | | | | | | (273) ordered_pair_as_product_element(all_322_6, % 59.34/8.87 | | | | | | | | | | | all_322_6, all_45_3, all_45_3) = all_516_0 % 59.34/8.87 | | | | | | | | | | | % 59.34/8.87 | | | | | | | | | | | DELTA: instantiating (270) with fresh symbols all_518_0, % 59.34/8.87 | | | | | | | | | | | all_518_1, all_518_2 gives: % 59.34/8.87 | | | | | | | | | | | (274) ordered_pair_as_product_element(all_322_6, % 59.34/8.87 | | | | | | | | | | | all_322_6, all_45_4, all_45_4) = all_518_0 & % 59.34/8.87 | | | | | | | | | | | element(all_45_4, all_322_6) = all_518_1 & % 59.34/8.87 | | | | | | | | | | | element(all_45_4, all_322_6) = all_518_2 & % 59.34/8.87 | | | | | | | | | | | $i(all_518_0) & ( ~ (all_518_0 = all_45_2) | ~ % 59.34/8.87 | | | | | | | | | | | (all_518_1 = 0) | ~ (all_518_2 = 0)) % 59.34/8.87 | | | | | | | | | | | % 59.34/8.87 | | | | | | | | | | | ALPHA: (274) implies: % 59.34/8.87 | | | | | | | | | | | (275) ordered_pair_as_product_element(all_322_6, % 59.34/8.87 | | | | | | | | | | | all_322_6, all_45_4, all_45_4) = all_518_0 % 59.34/8.87 | | | | | | | | | | | % 59.34/8.87 | | | | | | | | | | | REDUCE: (249), (273) imply: % 59.34/8.87 | | | | | | | | | | | (276) ordered_pair_as_product_element(all_45_6, % 59.34/8.87 | | | | | | | | | | | all_45_6, all_45_3, all_45_3) = all_516_0 % 59.34/8.87 | | | | | | | | | | | % 59.34/8.87 | | | | | | | | | | | REDUCE: (249), (275) imply: % 59.34/8.87 | | | | | | | | | | | (277) ordered_pair_as_product_element(all_45_6, % 59.34/8.87 | | | | | | | | | | | all_45_6, all_45_4, all_45_4) = all_518_0 % 59.34/8.87 | | | | | | | | | | | % 59.34/8.87 | | | | | | | | | | | BETA: splitting (84) gives: % 59.34/8.87 | | | | | | | | | | | % 59.34/8.87 | | | | | | | | | | | Case 1: % 59.34/8.87 | | | | | | | | | | | | % 59.34/8.87 | | | | | | | | | | | | % 59.34/8.87 | | | | | | | | | | | | GROUND_INST: instantiating (9) with all_45_6, all_45_6, % 59.34/8.87 | | | | | | | | | | | | all_45_4, all_45_4, all_518_0, simplifying with % 59.34/8.87 | | | | | | | | | | | | (22), (250), (277) gives: % 59.34/8.87 | | | | | | | | | | | | (278) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? % 59.34/8.87 | | | | | | | | | | | | [v3: any] : ? [v4: $i] : ? [v5: any] : % 59.34/8.87 | | | | | | | | | | | | (empty(all_45_6) = v1 & empty(all_45_6) = v0 & % 59.34/8.87 | | | | | | | | | | | | cartesian_product2(all_45_6, all_45_6) = v4 & % 59.34/8.87 | | | | | | | | | | | | element(all_518_0, v4) = v5 & element(all_45_4, % 59.34/8.87 | | | | | | | | | | | | all_45_6) = v3 & element(all_45_4, all_45_6) = % 59.34/8.87 | | | | | | | | | | | | v2 & $i(v4) & ( ~ (v3 = 0) | ~ (v2 = 0) | v5 = % 59.34/8.87 | | | | | | | | | | | | 0 | v1 = 0 | v0 = 0)) % 59.34/8.87 | | | | | | | | | | | | % 59.34/8.87 | | | | | | | | | | | | GROUND_INST: instantiating (71) with all_45_6, all_45_6, % 59.34/8.87 | | | | | | | | | | | | all_45_4, all_45_4, all_518_0, simplifying with % 59.34/8.87 | | | | | | | | | | | | (22), (250), (277) gives: % 59.34/8.87 | | | | | | | | | | | | (279) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? % 59.34/8.87 | | | | | | | | | | | | [v3: any] : ? [v4: $i] : (empty(all_45_6) = v1 & % 59.34/8.87 | | | | | | | | | | | | empty(all_45_6) = v0 & element(all_45_4, % 59.34/8.87 | | | | | | | | | | | | all_45_6) = v3 & element(all_45_4, all_45_6) = % 59.34/8.87 | | | | | | | | | | | | v2 & ordered_pair(all_45_4, all_45_4) = v4 & % 59.34/8.87 | | | | | | | | | | | | $i(v4) & ( ~ (v3 = 0) | ~ (v2 = 0) | v4 = % 59.34/8.87 | | | | | | | | | | | | all_518_0 | v1 = 0 | v0 = 0)) % 59.34/8.87 | | | | | | | | | | | | % 59.34/8.87 | | | | | | | | | | | | GROUND_INST: instantiating (9) with all_45_6, all_45_6, % 59.34/8.87 | | | | | | | | | | | | all_45_3, all_45_3, all_516_0, simplifying with % 59.34/8.87 | | | | | | | | | | | | (53), (250), (276) gives: % 59.34/8.87 | | | | | | | | | | | | (280) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? % 59.34/8.87 | | | | | | | | | | | | [v3: any] : ? [v4: $i] : ? [v5: any] : % 59.34/8.87 | | | | | | | | | | | | (empty(all_45_6) = v1 & empty(all_45_6) = v0 & % 59.34/8.87 | | | | | | | | | | | | cartesian_product2(all_45_6, all_45_6) = v4 & % 59.34/8.87 | | | | | | | | | | | | element(all_516_0, v4) = v5 & element(all_45_3, % 59.34/8.87 | | | | | | | | | | | | all_45_6) = v3 & element(all_45_3, all_45_6) = % 59.34/8.87 | | | | | | | | | | | | v2 & $i(v4) & ( ~ (v3 = 0) | ~ (v2 = 0) | v5 = % 59.34/8.87 | | | | | | | | | | | | 0 | v1 = 0 | v0 = 0)) % 59.34/8.87 | | | | | | | | | | | | % 59.34/8.87 | | | | | | | | | | | | GROUND_INST: instantiating (71) with all_45_6, all_45_6, % 59.34/8.87 | | | | | | | | | | | | all_45_3, all_45_3, all_516_0, simplifying with % 59.34/8.87 | | | | | | | | | | | | (53), (250), (276) gives: % 59.34/8.87 | | | | | | | | | | | | (281) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? % 59.34/8.87 | | | | | | | | | | | | [v3: any] : ? [v4: $i] : (empty(all_45_6) = v1 & % 59.34/8.87 | | | | | | | | | | | | empty(all_45_6) = v0 & element(all_45_3, % 59.34/8.87 | | | | | | | | | | | | all_45_6) = v3 & element(all_45_3, all_45_6) = % 59.34/8.87 | | | | | | | | | | | | v2 & ordered_pair(all_45_3, all_45_3) = v4 & % 59.34/8.87 | | | | | | | | | | | | $i(v4) & ( ~ (v3 = 0) | ~ (v2 = 0) | v4 = % 59.34/8.87 | | | | | | | | | | | | all_516_0 | v1 = 0 | v0 = 0)) % 59.34/8.87 | | | | | | | | | | | | % 59.34/8.87 | | | | | | | | | | | | GROUND_INST: instantiating (269) with all_45_4, all_45_3, % 59.34/8.87 | | | | | | | | | | | | simplifying with (22), (53), (254) gives: % 59.34/8.87 | | | | | | | | | | | | (282) ? [v0: any] : ? [v1: any] : ? [v2: $i] : % 59.34/8.87 | | | | | | | | | | | | (ordered_pair_as_product_element(all_322_6, % 59.34/8.87 | | | | | | | | | | | | all_322_6, all_45_4, all_45_3) = v2 & % 59.34/8.87 | | | | | | | | | | | | element(all_45_3, all_322_6) = v1 & % 59.34/8.87 | | | | | | | | | | | | element(all_45_4, all_322_6) = v0 & $i(v2) & ( ~ % 59.34/8.87 | | | | | | | | | | | | (v2 = all_45_2) | ~ (v1 = 0) | ~ (v0 = 0))) % 59.34/8.87 | | | | | | | | | | | | % 59.34/8.87 | | | | | | | | | | | | DELTA: instantiating (282) with fresh symbols all_610_0, % 59.34/8.87 | | | | | | | | | | | | all_610_1, all_610_2 gives: % 59.34/8.87 | | | | | | | | | | | | (283) ordered_pair_as_product_element(all_322_6, % 59.34/8.87 | | | | | | | | | | | | all_322_6, all_45_4, all_45_3) = all_610_0 & % 59.34/8.87 | | | | | | | | | | | | element(all_45_3, all_322_6) = all_610_1 & % 59.34/8.87 | | | | | | | | | | | | element(all_45_4, all_322_6) = all_610_2 & % 59.34/8.87 | | | | | | | | | | | | $i(all_610_0) & ( ~ (all_610_0 = all_45_2) | ~ % 59.34/8.87 | | | | | | | | | | | | (all_610_1 = 0) | ~ (all_610_2 = 0)) % 59.34/8.87 | | | | | | | | | | | | % 59.34/8.87 | | | | | | | | | | | | ALPHA: (283) implies: % 59.34/8.87 | | | | | | | | | | | | (284) element(all_45_4, all_322_6) = all_610_2 % 59.34/8.87 | | | | | | | | | | | | (285) element(all_45_3, all_322_6) = all_610_1 % 59.34/8.87 | | | | | | | | | | | | (286) ordered_pair_as_product_element(all_322_6, % 59.34/8.87 | | | | | | | | | | | | all_322_6, all_45_4, all_45_3) = all_610_0 % 59.34/8.87 | | | | | | | | | | | | (287) ~ (all_610_0 = all_45_2) | ~ (all_610_1 = 0) | % 59.34/8.87 | | | | | | | | | | | | ~ (all_610_2 = 0) % 59.34/8.87 | | | | | | | | | | | | % 59.34/8.87 | | | | | | | | | | | | DELTA: instantiating (279) with fresh symbols all_620_0, % 59.34/8.87 | | | | | | | | | | | | all_620_1, all_620_2, all_620_3, all_620_4 gives: % 59.34/8.87 | | | | | | | | | | | | (288) empty(all_45_6) = all_620_3 & empty(all_45_6) = % 59.34/8.87 | | | | | | | | | | | | all_620_4 & element(all_45_4, all_45_6) = % 59.34/8.87 | | | | | | | | | | | | all_620_1 & element(all_45_4, all_45_6) = % 59.34/8.87 | | | | | | | | | | | | all_620_2 & ordered_pair(all_45_4, all_45_4) = % 59.34/8.87 | | | | | | | | | | | | all_620_0 & $i(all_620_0) & ( ~ (all_620_1 = 0) | % 59.34/8.87 | | | | | | | | | | | | ~ (all_620_2 = 0) | all_620_0 = all_518_0 | % 59.34/8.87 | | | | | | | | | | | | all_620_3 = 0 | all_620_4 = 0) % 59.34/8.87 | | | | | | | | | | | | % 59.34/8.87 | | | | | | | | | | | | ALPHA: (288) implies: % 59.34/8.87 | | | | | | | | | | | | (289) element(all_45_4, all_45_6) = all_620_2 % 59.34/8.87 | | | | | | | | | | | | (290) element(all_45_4, all_45_6) = all_620_1 % 59.34/8.87 | | | | | | | | | | | | % 59.34/8.87 | | | | | | | | | | | | DELTA: instantiating (281) with fresh symbols all_622_0, % 59.34/8.87 | | | | | | | | | | | | all_622_1, all_622_2, all_622_3, all_622_4 gives: % 59.34/8.87 | | | | | | | | | | | | (291) empty(all_45_6) = all_622_3 & empty(all_45_6) = % 59.34/8.87 | | | | | | | | | | | | all_622_4 & element(all_45_3, all_45_6) = % 59.34/8.87 | | | | | | | | | | | | all_622_1 & element(all_45_3, all_45_6) = % 59.34/8.87 | | | | | | | | | | | | all_622_2 & ordered_pair(all_45_3, all_45_3) = % 59.34/8.87 | | | | | | | | | | | | all_622_0 & $i(all_622_0) & ( ~ (all_622_1 = 0) | % 59.34/8.87 | | | | | | | | | | | | ~ (all_622_2 = 0) | all_622_0 = all_516_0 | % 59.34/8.87 | | | | | | | | | | | | all_622_3 = 0 | all_622_4 = 0) % 59.34/8.87 | | | | | | | | | | | | % 59.34/8.87 | | | | | | | | | | | | ALPHA: (291) implies: % 59.34/8.87 | | | | | | | | | | | | (292) element(all_45_3, all_45_6) = all_622_2 % 59.34/8.87 | | | | | | | | | | | | (293) element(all_45_3, all_45_6) = all_622_1 % 59.34/8.87 | | | | | | | | | | | | % 59.34/8.87 | | | | | | | | | | | | DELTA: instantiating (280) with fresh symbols all_624_0, % 59.34/8.87 | | | | | | | | | | | | all_624_1, all_624_2, all_624_3, all_624_4, % 59.34/8.87 | | | | | | | | | | | | all_624_5 gives: % 59.34/8.87 | | | | | | | | | | | | (294) empty(all_45_6) = all_624_4 & empty(all_45_6) = % 59.34/8.87 | | | | | | | | | | | | all_624_5 & cartesian_product2(all_45_6, all_45_6) % 59.34/8.87 | | | | | | | | | | | | = all_624_1 & element(all_516_0, all_624_1) = % 59.34/8.87 | | | | | | | | | | | | all_624_0 & element(all_45_3, all_45_6) = % 59.34/8.87 | | | | | | | | | | | | all_624_2 & element(all_45_3, all_45_6) = % 59.34/8.87 | | | | | | | | | | | | all_624_3 & $i(all_624_1) & ( ~ (all_624_2 = 0) | % 59.34/8.87 | | | | | | | | | | | | ~ (all_624_3 = 0) | all_624_0 = 0 | all_624_4 = % 59.34/8.87 | | | | | | | | | | | | 0 | all_624_5 = 0) % 59.34/8.87 | | | | | | | | | | | | % 59.34/8.87 | | | | | | | | | | | | ALPHA: (294) implies: % 59.34/8.87 | | | | | | | | | | | | (295) element(all_45_3, all_45_6) = all_624_3 % 59.34/8.87 | | | | | | | | | | | | (296) element(all_45_3, all_45_6) = all_624_2 % 59.34/8.87 | | | | | | | | | | | | % 59.34/8.87 | | | | | | | | | | | | DELTA: instantiating (278) with fresh symbols all_626_0, % 59.34/8.87 | | | | | | | | | | | | all_626_1, all_626_2, all_626_3, all_626_4, % 59.34/8.87 | | | | | | | | | | | | all_626_5 gives: % 59.34/8.87 | | | | | | | | | | | | (297) empty(all_45_6) = all_626_4 & empty(all_45_6) = % 59.34/8.87 | | | | | | | | | | | | all_626_5 & cartesian_product2(all_45_6, all_45_6) % 59.34/8.87 | | | | | | | | | | | | = all_626_1 & element(all_518_0, all_626_1) = % 59.34/8.87 | | | | | | | | | | | | all_626_0 & element(all_45_4, all_45_6) = % 59.34/8.87 | | | | | | | | | | | | all_626_2 & element(all_45_4, all_45_6) = % 59.34/8.87 | | | | | | | | | | | | all_626_3 & $i(all_626_1) & ( ~ (all_626_2 = 0) | % 59.34/8.87 | | | | | | | | | | | | ~ (all_626_3 = 0) | all_626_0 = 0 | all_626_4 = % 59.34/8.87 | | | | | | | | | | | | 0 | all_626_5 = 0) % 59.34/8.87 | | | | | | | | | | | | % 59.34/8.87 | | | | | | | | | | | | ALPHA: (297) implies: % 59.34/8.87 | | | | | | | | | | | | (298) element(all_45_4, all_45_6) = all_626_3 % 59.34/8.87 | | | | | | | | | | | | (299) element(all_45_4, all_45_6) = all_626_2 % 59.34/8.87 | | | | | | | | | | | | % 59.34/8.87 | | | | | | | | | | | | REDUCE: (249), (286) imply: % 59.34/8.87 | | | | | | | | | | | | (300) ordered_pair_as_product_element(all_45_6, % 59.34/8.87 | | | | | | | | | | | | all_45_6, all_45_4, all_45_3) = all_610_0 % 59.34/8.87 | | | | | | | | | | | | % 59.34/8.87 | | | | | | | | | | | | REDUCE: (249), (285) imply: % 59.34/8.87 | | | | | | | | | | | | (301) element(all_45_3, all_45_6) = all_610_1 % 59.34/8.87 | | | | | | | | | | | | % 59.34/8.87 | | | | | | | | | | | | REDUCE: (249), (284) imply: % 59.34/8.87 | | | | | | | | | | | | (302) element(all_45_4, all_45_6) = all_610_2 % 59.34/8.87 | | | | | | | | | | | | % 59.34/8.87 | | | | | | | | | | | | GROUND_INST: instantiating (38) with all_610_2, all_620_2, % 59.34/8.87 | | | | | | | | | | | | all_45_6, all_45_4, simplifying with (289), (302) % 59.34/8.87 | | | | | | | | | | | | gives: % 59.34/8.87 | | | | | | | | | | | | (303) all_620_2 = all_610_2 % 59.34/8.87 | | | | | | | | | | | | % 59.34/8.87 | | | | | | | | | | | | GROUND_INST: instantiating (38) with 0, all_626_3, all_45_6, % 59.34/8.87 | | | | | | | | | | | | all_45_4, simplifying with (75), (298) gives: % 59.34/8.88 | | | | | | | | | | | | (304) all_626_3 = 0 % 59.34/8.88 | | | | | | | | | | | | % 59.34/8.88 | | | | | | | | | | | | GROUND_INST: instantiating (38) with all_626_3, all_626_2, % 59.34/8.88 | | | | | | | | | | | | all_45_6, all_45_4, simplifying with (298), (299) % 59.34/8.88 | | | | | | | | | | | | gives: % 59.34/8.88 | | | | | | | | | | | | (305) all_626_2 = all_626_3 % 59.34/8.88 | | | | | | | | | | | | % 59.34/8.88 | | | | | | | | | | | | GROUND_INST: instantiating (38) with all_620_1, all_626_2, % 59.34/8.88 | | | | | | | | | | | | all_45_6, all_45_4, simplifying with (290), (299) % 59.34/8.88 | | | | | | | | | | | | gives: % 59.34/8.88 | | | | | | | | | | | | (306) all_626_2 = all_620_1 % 59.34/8.88 | | | | | | | | | | | | % 59.34/8.88 | | | | | | | | | | | | GROUND_INST: instantiating (38) with all_620_2, all_626_2, % 59.34/8.88 | | | | | | | | | | | | all_45_6, all_45_4, simplifying with (289), (299) % 59.34/8.88 | | | | | | | | | | | | gives: % 59.34/8.88 | | | | | | | | | | | | (307) all_626_2 = all_620_2 % 59.34/8.88 | | | | | | | | | | | | % 59.34/8.88 | | | | | | | | | | | | GROUND_INST: instantiating (38) with all_622_2, all_622_1, % 59.34/8.88 | | | | | | | | | | | | all_45_6, all_45_3, simplifying with (292), (293) % 59.34/8.88 | | | | | | | | | | | | gives: % 59.34/8.88 | | | | | | | | | | | | (308) all_622_1 = all_622_2 % 59.34/8.88 | | | | | | | | | | | | % 59.34/8.88 | | | | | | | | | | | | GROUND_INST: instantiating (38) with all_622_1, all_624_3, % 59.34/8.88 | | | | | | | | | | | | all_45_6, all_45_3, simplifying with (293), (295) % 59.34/8.88 | | | | | | | | | | | | gives: % 59.34/8.88 | | | | | | | | | | | | (309) all_624_3 = all_622_1 % 59.34/8.88 | | | | | | | | | | | | % 59.34/8.88 | | | | | | | | | | | | GROUND_INST: instantiating (38) with all_610_1, all_624_3, % 59.34/8.88 | | | | | | | | | | | | all_45_6, all_45_3, simplifying with (295), (301) % 59.34/8.88 | | | | | | | | | | | | gives: % 59.34/8.88 | | | | | | | | | | | | (310) all_624_3 = all_610_1 % 59.34/8.88 | | | | | | | | | | | | % 59.34/8.88 | | | | | | | | | | | | GROUND_INST: instantiating (38) with 0, all_624_2, all_45_6, % 59.34/8.88 | | | | | | | | | | | | all_45_3, simplifying with (5), (296) gives: % 59.34/8.88 | | | | | | | | | | | | (311) all_624_2 = 0 % 59.34/8.88 | | | | | | | | | | | | % 59.34/8.88 | | | | | | | | | | | | GROUND_INST: instantiating (38) with all_622_2, all_624_2, % 59.34/8.88 | | | | | | | | | | | | all_45_6, all_45_3, simplifying with (292), (296) % 59.34/8.88 | | | | | | | | | | | | gives: % 59.34/8.88 | | | | | | | | | | | | (312) all_624_2 = all_622_2 % 59.34/8.88 | | | | | | | | | | | | % 59.34/8.88 | | | | | | | | | | | | GROUND_INST: instantiating (96) with all_45_2, all_610_0, % 59.34/8.88 | | | | | | | | | | | | all_45_3, all_45_4, all_45_6, all_45_6, % 59.34/8.88 | | | | | | | | | | | | simplifying with (62), (300) gives: % 59.34/8.88 | | | | | | | | | | | | (313) all_610_0 = all_45_2 % 59.34/8.88 | | | | | | | | | | | | % 59.34/8.88 | | | | | | | | | | | | COMBINE_EQS: (305), (306) imply: % 59.34/8.88 | | | | | | | | | | | | (314) all_626_3 = all_620_1 % 59.34/8.88 | | | | | | | | | | | | % 59.34/8.88 | | | | | | | | | | | | SIMP: (314) implies: % 59.34/8.88 | | | | | | | | | | | | (315) all_626_3 = all_620_1 % 59.34/8.88 | | | | | | | | | | | | % 59.34/8.88 | | | | | | | | | | | | COMBINE_EQS: (306), (307) imply: % 59.34/8.88 | | | | | | | | | | | | (316) all_620_1 = all_620_2 % 59.34/8.88 | | | | | | | | | | | | % 59.34/8.88 | | | | | | | | | | | | COMBINE_EQS: (304), (315) imply: % 59.34/8.88 | | | | | | | | | | | | (317) all_620_1 = 0 % 59.34/8.88 | | | | | | | | | | | | % 59.34/8.88 | | | | | | | | | | | | SIMP: (317) implies: % 59.34/8.88 | | | | | | | | | | | | (318) all_620_1 = 0 % 59.34/8.88 | | | | | | | | | | | | % 59.34/8.88 | | | | | | | | | | | | COMBINE_EQS: (311), (312) imply: % 59.34/8.88 | | | | | | | | | | | | (319) all_622_2 = 0 % 59.34/8.88 | | | | | | | | | | | | % 59.34/8.88 | | | | | | | | | | | | SIMP: (319) implies: % 59.34/8.88 | | | | | | | | | | | | (320) all_622_2 = 0 % 59.34/8.88 | | | | | | | | | | | | % 59.34/8.88 | | | | | | | | | | | | COMBINE_EQS: (309), (310) imply: % 59.34/8.88 | | | | | | | | | | | | (321) all_622_1 = all_610_1 % 59.34/8.88 | | | | | | | | | | | | % 59.34/8.88 | | | | | | | | | | | | SIMP: (321) implies: % 59.34/8.88 | | | | | | | | | | | | (322) all_622_1 = all_610_1 % 59.34/8.88 | | | | | | | | | | | | % 59.34/8.88 | | | | | | | | | | | | COMBINE_EQS: (308), (322) imply: % 59.34/8.88 | | | | | | | | | | | | (323) all_622_2 = all_610_1 % 59.34/8.88 | | | | | | | | | | | | % 59.34/8.88 | | | | | | | | | | | | SIMP: (323) implies: % 59.34/8.88 | | | | | | | | | | | | (324) all_622_2 = all_610_1 % 59.34/8.88 | | | | | | | | | | | | % 59.34/8.88 | | | | | | | | | | | | COMBINE_EQS: (320), (324) imply: % 59.34/8.88 | | | | | | | | | | | | (325) all_610_1 = 0 % 59.34/8.88 | | | | | | | | | | | | % 59.34/8.88 | | | | | | | | | | | | SIMP: (325) implies: % 59.34/8.88 | | | | | | | | | | | | (326) all_610_1 = 0 % 59.34/8.88 | | | | | | | | | | | | % 59.34/8.88 | | | | | | | | | | | | COMBINE_EQS: (316), (318) imply: % 59.34/8.88 | | | | | | | | | | | | (327) all_620_2 = 0 % 59.34/8.88 | | | | | | | | | | | | % 59.34/8.88 | | | | | | | | | | | | SIMP: (327) implies: % 59.34/8.88 | | | | | | | | | | | | (328) all_620_2 = 0 % 59.34/8.88 | | | | | | | | | | | | % 59.34/8.88 | | | | | | | | | | | | COMBINE_EQS: (303), (328) imply: % 59.34/8.88 | | | | | | | | | | | | (329) all_610_2 = 0 % 59.34/8.88 | | | | | | | | | | | | % 59.34/8.88 | | | | | | | | | | | | SIMP: (329) implies: % 59.34/8.88 | | | | | | | | | | | | (330) all_610_2 = 0 % 59.34/8.88 | | | | | | | | | | | | % 59.34/8.88 | | | | | | | | | | | | BETA: splitting (287) gives: % 59.34/8.88 | | | | | | | | | | | | % 59.34/8.88 | | | | | | | | | | | | Case 1: % 59.34/8.88 | | | | | | | | | | | | | % 59.34/8.88 | | | | | | | | | | | | | (331) ~ (all_610_1 = 0) % 59.34/8.88 | | | | | | | | | | | | | % 59.34/8.88 | | | | | | | | | | | | | REDUCE: (326), (331) imply: % 59.34/8.88 | | | | | | | | | | | | | (332) $false % 59.34/8.88 | | | | | | | | | | | | | % 59.34/8.88 | | | | | | | | | | | | | CLOSE: (332) is inconsistent. % 59.34/8.88 | | | | | | | | | | | | | % 59.34/8.88 | | | | | | | | | | | | Case 2: % 59.34/8.88 | | | | | | | | | | | | | % 59.34/8.88 | | | | | | | | | | | | | (333) ~ (all_610_0 = all_45_2) | ~ (all_610_2 = 0) % 59.34/8.88 | | | | | | | | | | | | | % 59.34/8.88 | | | | | | | | | | | | | BETA: splitting (333) gives: % 59.34/8.88 | | | | | | | | | | | | | % 59.34/8.88 | | | | | | | | | | | | | Case 1: % 59.34/8.88 | | | | | | | | | | | | | | % 59.34/8.88 | | | | | | | | | | | | | | (334) ~ (all_610_2 = 0) % 59.34/8.88 | | | | | | | | | | | | | | % 59.34/8.88 | | | | | | | | | | | | | | REDUCE: (330), (334) imply: % 59.34/8.88 | | | | | | | | | | | | | | (335) $false % 59.34/8.88 | | | | | | | | | | | | | | % 59.34/8.88 | | | | | | | | | | | | | | CLOSE: (335) is inconsistent. % 59.34/8.88 | | | | | | | | | | | | | | % 59.34/8.88 | | | | | | | | | | | | | Case 2: % 59.34/8.88 | | | | | | | | | | | | | | % 59.34/8.88 | | | | | | | | | | | | | | (336) ~ (all_610_0 = all_45_2) % 59.34/8.88 | | | | | | | | | | | | | | % 59.34/8.88 | | | | | | | | | | | | | | REDUCE: (313), (336) imply: % 59.34/8.88 | | | | | | | | | | | | | | (337) $false % 59.34/8.88 | | | | | | | | | | | | | | % 59.34/8.88 | | | | | | | | | | | | | | CLOSE: (337) is inconsistent. % 59.34/8.88 | | | | | | | | | | | | | | % 59.34/8.88 | | | | | | | | | | | | | End of split % 59.34/8.88 | | | | | | | | | | | | | % 59.34/8.88 | | | | | | | | | | | | End of split % 59.34/8.88 | | | | | | | | | | | | % 59.34/8.88 | | | | | | | | | | | Case 2: % 59.34/8.88 | | | | | | | | | | | | % 59.34/8.88 | | | | | | | | | | | | (338) all_75_2 = 0 % 59.34/8.88 | | | | | | | | | | | | % 59.34/8.88 | | | | | | | | | | | | COMBINE_EQS: (49), (338) imply: % 59.34/8.88 | | | | | | | | | | | | (339) all_81_2 = 0 % 59.34/8.88 | | | | | | | | | | | | % 59.34/8.88 | | | | | | | | | | | | BETA: splitting (7) gives: % 59.34/8.88 | | | | | | | | | | | | % 59.34/8.88 | | | | | | | | | | | | Case 1: % 59.34/8.88 | | | | | | | | | | | | | % 59.34/8.88 | | | | | | | | | | | | | (340) ~ (all_81_2 = 0) % 59.34/8.88 | | | | | | | | | | | | | % 59.34/8.88 | | | | | | | | | | | | | REDUCE: (339), (340) imply: % 59.34/8.88 | | | | | | | | | | | | | (341) $false % 59.34/8.88 | | | | | | | | | | | | | % 59.34/8.88 | | | | | | | | | | | | | CLOSE: (341) is inconsistent. % 59.34/8.88 | | | | | | | | | | | | | % 59.34/8.88 | | | | | | | | | | | | Case 2: % 59.34/8.88 | | | | | | | | | | | | | % 59.34/8.88 | | | | | | | | | | | | | % 59.34/8.88 | | | | | | | | | | | | | GROUND_INST: instantiating (9) with all_45_6, all_45_6, % 59.34/8.88 | | | | | | | | | | | | | all_45_4, all_45_4, all_518_0, simplifying with % 59.34/8.88 | | | | | | | | | | | | | (22), (250), (277) gives: % 59.34/8.88 | | | | | | | | | | | | | (342) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? % 59.34/8.88 | | | | | | | | | | | | | [v3: any] : ? [v4: $i] : ? [v5: any] : % 59.34/8.88 | | | | | | | | | | | | | (empty(all_45_6) = v1 & empty(all_45_6) = v0 & % 59.34/8.88 | | | | | | | | | | | | | cartesian_product2(all_45_6, all_45_6) = v4 & % 59.34/8.88 | | | | | | | | | | | | | element(all_518_0, v4) = v5 & element(all_45_4, % 59.34/8.88 | | | | | | | | | | | | | all_45_6) = v3 & element(all_45_4, all_45_6) = % 59.34/8.88 | | | | | | | | | | | | | v2 & $i(v4) & ( ~ (v3 = 0) | ~ (v2 = 0) | v5 = % 59.34/8.88 | | | | | | | | | | | | | 0 | v1 = 0 | v0 = 0)) % 59.34/8.88 | | | | | | | | | | | | | % 59.34/8.88 | | | | | | | | | | | | | GROUND_INST: instantiating (71) with all_45_6, all_45_6, % 59.34/8.88 | | | | | | | | | | | | | all_45_4, all_45_4, all_518_0, simplifying with % 59.34/8.88 | | | | | | | | | | | | | (22), (250), (277) gives: % 59.34/8.88 | | | | | | | | | | | | | (343) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? % 59.34/8.88 | | | | | | | | | | | | | [v3: any] : ? [v4: $i] : (empty(all_45_6) = v1 & % 59.34/8.88 | | | | | | | | | | | | | empty(all_45_6) = v0 & element(all_45_4, % 59.34/8.88 | | | | | | | | | | | | | all_45_6) = v3 & element(all_45_4, all_45_6) = % 59.34/8.88 | | | | | | | | | | | | | v2 & ordered_pair(all_45_4, all_45_4) = v4 & % 59.34/8.88 | | | | | | | | | | | | | $i(v4) & ( ~ (v3 = 0) | ~ (v2 = 0) | v4 = % 59.34/8.88 | | | | | | | | | | | | | all_518_0 | v1 = 0 | v0 = 0)) % 59.34/8.88 | | | | | | | | | | | | | % 59.34/8.88 | | | | | | | | | | | | | GROUND_INST: instantiating (9) with all_45_6, all_45_6, % 59.34/8.88 | | | | | | | | | | | | | all_45_3, all_45_3, all_516_0, simplifying with % 59.34/8.88 | | | | | | | | | | | | | (53), (250), (276) gives: % 59.34/8.88 | | | | | | | | | | | | | (344) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? % 59.34/8.88 | | | | | | | | | | | | | [v3: any] : ? [v4: $i] : ? [v5: any] : % 59.34/8.88 | | | | | | | | | | | | | (empty(all_45_6) = v1 & empty(all_45_6) = v0 & % 59.34/8.88 | | | | | | | | | | | | | cartesian_product2(all_45_6, all_45_6) = v4 & % 59.34/8.88 | | | | | | | | | | | | | element(all_516_0, v4) = v5 & element(all_45_3, % 59.34/8.88 | | | | | | | | | | | | | all_45_6) = v3 & element(all_45_3, all_45_6) = % 59.34/8.88 | | | | | | | | | | | | | v2 & $i(v4) & ( ~ (v3 = 0) | ~ (v2 = 0) | v5 = % 59.34/8.88 | | | | | | | | | | | | | 0 | v1 = 0 | v0 = 0)) % 59.34/8.88 | | | | | | | | | | | | | % 59.34/8.88 | | | | | | | | | | | | | GROUND_INST: instantiating (71) with all_45_6, all_45_6, % 59.34/8.88 | | | | | | | | | | | | | all_45_3, all_45_3, all_516_0, simplifying with % 59.34/8.88 | | | | | | | | | | | | | (53), (250), (276) gives: % 59.34/8.88 | | | | | | | | | | | | | (345) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? % 59.34/8.88 | | | | | | | | | | | | | [v3: any] : ? [v4: $i] : (empty(all_45_6) = v1 & % 59.34/8.88 | | | | | | | | | | | | | empty(all_45_6) = v0 & element(all_45_3, % 59.34/8.88 | | | | | | | | | | | | | all_45_6) = v3 & element(all_45_3, all_45_6) = % 59.34/8.88 | | | | | | | | | | | | | v2 & ordered_pair(all_45_3, all_45_3) = v4 & % 59.34/8.88 | | | | | | | | | | | | | $i(v4) & ( ~ (v3 = 0) | ~ (v2 = 0) | v4 = % 59.34/8.88 | | | | | | | | | | | | | all_516_0 | v1 = 0 | v0 = 0)) % 59.34/8.88 | | | | | | | | | | | | | % 59.34/8.88 | | | | | | | | | | | | | GROUND_INST: instantiating (269) with all_45_4, all_45_3, % 59.34/8.88 | | | | | | | | | | | | | simplifying with (22), (53), (254) gives: % 59.34/8.88 | | | | | | | | | | | | | (346) ? [v0: any] : ? [v1: any] : ? [v2: $i] : % 59.34/8.88 | | | | | | | | | | | | | (ordered_pair_as_product_element(all_322_6, % 59.34/8.88 | | | | | | | | | | | | | all_322_6, all_45_4, all_45_3) = v2 & % 59.34/8.88 | | | | | | | | | | | | | element(all_45_3, all_322_6) = v1 & % 59.34/8.88 | | | | | | | | | | | | | element(all_45_4, all_322_6) = v0 & $i(v2) & ( ~ % 59.34/8.88 | | | | | | | | | | | | | (v2 = all_45_2) | ~ (v1 = 0) | ~ (v0 = 0))) % 59.34/8.88 | | | | | | | | | | | | | % 59.34/8.88 | | | | | | | | | | | | | DELTA: instantiating (346) with fresh symbols all_616_0, % 59.34/8.88 | | | | | | | | | | | | | all_616_1, all_616_2 gives: % 59.34/8.88 | | | | | | | | | | | | | (347) ordered_pair_as_product_element(all_322_6, % 59.34/8.88 | | | | | | | | | | | | | all_322_6, all_45_4, all_45_3) = all_616_0 & % 59.34/8.88 | | | | | | | | | | | | | element(all_45_3, all_322_6) = all_616_1 & % 59.34/8.88 | | | | | | | | | | | | | element(all_45_4, all_322_6) = all_616_2 & % 59.34/8.88 | | | | | | | | | | | | | $i(all_616_0) & ( ~ (all_616_0 = all_45_2) | ~ % 59.34/8.88 | | | | | | | | | | | | | (all_616_1 = 0) | ~ (all_616_2 = 0)) % 59.34/8.88 | | | | | | | | | | | | | % 59.34/8.88 | | | | | | | | | | | | | ALPHA: (347) implies: % 59.34/8.88 | | | | | | | | | | | | | (348) element(all_45_4, all_322_6) = all_616_2 % 59.34/8.88 | | | | | | | | | | | | | (349) element(all_45_3, all_322_6) = all_616_1 % 59.34/8.88 | | | | | | | | | | | | | (350) ordered_pair_as_product_element(all_322_6, % 59.34/8.88 | | | | | | | | | | | | | all_322_6, all_45_4, all_45_3) = all_616_0 % 59.34/8.88 | | | | | | | | | | | | | (351) ~ (all_616_0 = all_45_2) | ~ (all_616_1 = 0) | % 59.34/8.88 | | | | | | | | | | | | | ~ (all_616_2 = 0) % 59.34/8.88 | | | | | | | | | | | | | % 59.34/8.88 | | | | | | | | | | | | | DELTA: instantiating (345) with fresh symbols all_630_0, % 59.34/8.88 | | | | | | | | | | | | | all_630_1, all_630_2, all_630_3, all_630_4 gives: % 59.34/8.88 | | | | | | | | | | | | | (352) empty(all_45_6) = all_630_3 & empty(all_45_6) = % 59.34/8.88 | | | | | | | | | | | | | all_630_4 & element(all_45_3, all_45_6) = % 59.34/8.88 | | | | | | | | | | | | | all_630_1 & element(all_45_3, all_45_6) = % 59.34/8.88 | | | | | | | | | | | | | all_630_2 & ordered_pair(all_45_3, all_45_3) = % 59.34/8.88 | | | | | | | | | | | | | all_630_0 & $i(all_630_0) & ( ~ (all_630_1 = 0) | % 59.34/8.88 | | | | | | | | | | | | | ~ (all_630_2 = 0) | all_630_0 = all_516_0 | % 59.34/8.88 | | | | | | | | | | | | | all_630_3 = 0 | all_630_4 = 0) % 59.34/8.88 | | | | | | | | | | | | | % 59.34/8.88 | | | | | | | | | | | | | ALPHA: (352) implies: % 59.34/8.88 | | | | | | | | | | | | | (353) element(all_45_3, all_45_6) = all_630_2 % 59.34/8.88 | | | | | | | | | | | | | (354) element(all_45_3, all_45_6) = all_630_1 % 59.34/8.88 | | | | | | | | | | | | | % 59.34/8.88 | | | | | | | | | | | | | DELTA: instantiating (343) with fresh symbols all_632_0, % 59.34/8.88 | | | | | | | | | | | | | all_632_1, all_632_2, all_632_3, all_632_4 gives: % 59.34/8.88 | | | | | | | | | | | | | (355) empty(all_45_6) = all_632_3 & empty(all_45_6) = % 59.34/8.88 | | | | | | | | | | | | | all_632_4 & element(all_45_4, all_45_6) = % 59.34/8.88 | | | | | | | | | | | | | all_632_1 & element(all_45_4, all_45_6) = % 59.34/8.88 | | | | | | | | | | | | | all_632_2 & ordered_pair(all_45_4, all_45_4) = % 59.34/8.88 | | | | | | | | | | | | | all_632_0 & $i(all_632_0) & ( ~ (all_632_1 = 0) | % 59.34/8.88 | | | | | | | | | | | | | ~ (all_632_2 = 0) | all_632_0 = all_518_0 | % 59.34/8.88 | | | | | | | | | | | | | all_632_3 = 0 | all_632_4 = 0) % 59.34/8.88 | | | | | | | | | | | | | % 59.34/8.88 | | | | | | | | | | | | | ALPHA: (355) implies: % 59.34/8.88 | | | | | | | | | | | | | (356) element(all_45_4, all_45_6) = all_632_2 % 59.34/8.88 | | | | | | | | | | | | | (357) element(all_45_4, all_45_6) = all_632_1 % 59.34/8.88 | | | | | | | | | | | | | % 59.34/8.88 | | | | | | | | | | | | | DELTA: instantiating (344) with fresh symbols all_634_0, % 59.34/8.88 | | | | | | | | | | | | | all_634_1, all_634_2, all_634_3, all_634_4, % 59.34/8.88 | | | | | | | | | | | | | all_634_5 gives: % 59.34/8.88 | | | | | | | | | | | | | (358) empty(all_45_6) = all_634_4 & empty(all_45_6) = % 59.34/8.88 | | | | | | | | | | | | | all_634_5 & cartesian_product2(all_45_6, all_45_6) % 59.34/8.88 | | | | | | | | | | | | | = all_634_1 & element(all_516_0, all_634_1) = % 59.34/8.88 | | | | | | | | | | | | | all_634_0 & element(all_45_3, all_45_6) = % 59.34/8.88 | | | | | | | | | | | | | all_634_2 & element(all_45_3, all_45_6) = % 59.34/8.88 | | | | | | | | | | | | | all_634_3 & $i(all_634_1) & ( ~ (all_634_2 = 0) | % 59.34/8.88 | | | | | | | | | | | | | ~ (all_634_3 = 0) | all_634_0 = 0 | all_634_4 = % 59.34/8.88 | | | | | | | | | | | | | 0 | all_634_5 = 0) % 59.34/8.88 | | | | | | | | | | | | | % 59.34/8.88 | | | | | | | | | | | | | ALPHA: (358) implies: % 59.34/8.88 | | | | | | | | | | | | | (359) element(all_45_3, all_45_6) = all_634_3 % 59.34/8.88 | | | | | | | | | | | | | (360) element(all_45_3, all_45_6) = all_634_2 % 59.34/8.88 | | | | | | | | | | | | | % 59.34/8.88 | | | | | | | | | | | | | DELTA: instantiating (342) with fresh symbols all_636_0, % 59.34/8.88 | | | | | | | | | | | | | all_636_1, all_636_2, all_636_3, all_636_4, % 59.34/8.88 | | | | | | | | | | | | | all_636_5 gives: % 59.34/8.88 | | | | | | | | | | | | | (361) empty(all_45_6) = all_636_4 & empty(all_45_6) = % 59.34/8.88 | | | | | | | | | | | | | all_636_5 & cartesian_product2(all_45_6, all_45_6) % 59.34/8.88 | | | | | | | | | | | | | = all_636_1 & element(all_518_0, all_636_1) = % 59.34/8.88 | | | | | | | | | | | | | all_636_0 & element(all_45_4, all_45_6) = % 59.34/8.88 | | | | | | | | | | | | | all_636_2 & element(all_45_4, all_45_6) = % 59.34/8.88 | | | | | | | | | | | | | all_636_3 & $i(all_636_1) & ( ~ (all_636_2 = 0) | % 59.34/8.88 | | | | | | | | | | | | | ~ (all_636_3 = 0) | all_636_0 = 0 | all_636_4 = % 59.34/8.88 | | | | | | | | | | | | | 0 | all_636_5 = 0) % 59.34/8.88 | | | | | | | | | | | | | % 59.34/8.88 | | | | | | | | | | | | | ALPHA: (361) implies: % 59.34/8.88 | | | | | | | | | | | | | (362) element(all_45_4, all_45_6) = all_636_3 % 59.34/8.88 | | | | | | | | | | | | | (363) element(all_45_4, all_45_6) = all_636_2 % 59.34/8.88 | | | | | | | | | | | | | % 59.34/8.88 | | | | | | | | | | | | | REDUCE: (249), (350) imply: % 59.34/8.88 | | | | | | | | | | | | | (364) ordered_pair_as_product_element(all_45_6, % 59.34/8.88 | | | | | | | | | | | | | all_45_6, all_45_4, all_45_3) = all_616_0 % 59.34/8.88 | | | | | | | | | | | | | % 59.34/8.88 | | | | | | | | | | | | | REDUCE: (249), (349) imply: % 59.34/8.88 | | | | | | | | | | | | | (365) element(all_45_3, all_45_6) = all_616_1 % 59.34/8.88 | | | | | | | | | | | | | % 59.34/8.88 | | | | | | | | | | | | | REDUCE: (249), (348) imply: % 59.34/8.88 | | | | | | | | | | | | | (366) element(all_45_4, all_45_6) = all_616_2 % 59.34/8.88 | | | | | | | | | | | | | % 59.34/8.88 | | | | | | | | | | | | | GROUND_INST: instantiating (38) with 0, all_636_3, all_45_6, % 59.34/8.88 | | | | | | | | | | | | | all_45_4, simplifying with (75), (362) gives: % 59.34/8.88 | | | | | | | | | | | | | (367) all_636_3 = 0 % 59.34/8.88 | | | | | | | | | | | | | % 59.34/8.88 | | | | | | | | | | | | | GROUND_INST: instantiating (38) with all_632_1, all_636_3, % 59.34/8.88 | | | | | | | | | | | | | all_45_6, all_45_4, simplifying with (357), (362) % 59.34/8.88 | | | | | | | | | | | | | gives: % 59.34/8.88 | | | | | | | | | | | | | (368) all_636_3 = all_632_1 % 59.34/8.88 | | | | | | | | | | | | | % 59.34/8.88 | | | | | | | | | | | | | GROUND_INST: instantiating (38) with all_616_2, all_636_3, % 59.34/8.88 | | | | | | | | | | | | | all_45_6, all_45_4, simplifying with (362), (366) % 59.34/8.88 | | | | | | | | | | | | | gives: % 59.34/8.88 | | | | | | | | | | | | | (369) all_636_3 = all_616_2 % 59.34/8.88 | | | | | | | | | | | | | % 59.34/8.88 | | | | | | | | | | | | | GROUND_INST: instantiating (38) with all_636_3, all_636_2, % 59.34/8.88 | | | | | | | | | | | | | all_45_6, all_45_4, simplifying with (362), (363) % 59.34/8.88 | | | | | | | | | | | | | gives: % 59.34/8.88 | | | | | | | | | | | | | (370) all_636_2 = all_636_3 % 59.34/8.88 | | | | | | | | | | | | | % 59.34/8.88 | | | | | | | | | | | | | GROUND_INST: instantiating (38) with all_632_2, all_636_2, % 59.34/8.88 | | | | | | | | | | | | | all_45_6, all_45_4, simplifying with (356), (363) % 59.34/8.88 | | | | | | | | | | | | | gives: % 59.34/8.88 | | | | | | | | | | | | | (371) all_636_2 = all_632_2 % 59.34/8.88 | | | | | | | | | | | | | % 59.34/8.88 | | | | | | | | | | | | | GROUND_INST: instantiating (38) with 0, all_630_1, all_45_6, % 59.34/8.88 | | | | | | | | | | | | | all_45_3, simplifying with (5), (354) gives: % 59.34/8.88 | | | | | | | | | | | | | (372) all_630_1 = 0 % 59.34/8.88 | | | | | | | | | | | | | % 59.34/8.88 | | | | | | | | | | | | | GROUND_INST: instantiating (38) with all_630_2, all_630_1, % 59.34/8.88 | | | | | | | | | | | | | all_45_6, all_45_3, simplifying with (353), (354) % 59.34/8.88 | | | | | | | | | | | | | gives: % 59.34/8.88 | | | | | | | | | | | | | (373) all_630_1 = all_630_2 % 59.34/8.88 | | | | | | | | | | | | | % 59.34/8.88 | | | | | | | | | | | | | GROUND_INST: instantiating (38) with all_630_2, all_634_3, % 59.34/8.88 | | | | | | | | | | | | | all_45_6, all_45_3, simplifying with (353), (359) % 59.34/8.88 | | | | | | | | | | | | | gives: % 59.34/8.88 | | | | | | | | | | | | | (374) all_634_3 = all_630_2 % 59.34/8.88 | | | | | | | | | | | | | % 59.34/8.88 | | | | | | | | | | | | | GROUND_INST: instantiating (38) with all_634_3, all_634_2, % 59.34/8.88 | | | | | | | | | | | | | all_45_6, all_45_3, simplifying with (359), (360) % 59.34/8.88 | | | | | | | | | | | | | gives: % 59.34/8.88 | | | | | | | | | | | | | (375) all_634_2 = all_634_3 % 59.34/8.88 | | | | | | | | | | | | | % 59.34/8.88 | | | | | | | | | | | | | GROUND_INST: instantiating (38) with all_616_1, all_634_2, % 59.34/8.88 | | | | | | | | | | | | | all_45_6, all_45_3, simplifying with (360), (365) % 59.34/8.88 | | | | | | | | | | | | | gives: % 59.34/8.88 | | | | | | | | | | | | | (376) all_634_2 = all_616_1 % 59.34/8.88 | | | | | | | | | | | | | % 59.34/8.88 | | | | | | | | | | | | | GROUND_INST: instantiating (96) with all_45_2, all_616_0, % 59.34/8.88 | | | | | | | | | | | | | all_45_3, all_45_4, all_45_6, all_45_6, % 59.34/8.88 | | | | | | | | | | | | | simplifying with (62), (364) gives: % 59.34/8.88 | | | | | | | | | | | | | (377) all_616_0 = all_45_2 % 59.34/8.88 | | | | | | | | | | | | | % 59.34/8.88 | | | | | | | | | | | | | COMBINE_EQS: (370), (371) imply: % 59.34/8.88 | | | | | | | | | | | | | (378) all_636_3 = all_632_2 % 59.34/8.88 | | | | | | | | | | | | | % 59.34/8.88 | | | | | | | | | | | | | SIMP: (378) implies: % 59.34/8.88 | | | | | | | | | | | | | (379) all_636_3 = all_632_2 % 59.34/8.88 | | | | | | | | | | | | | % 59.34/8.88 | | | | | | | | | | | | | COMBINE_EQS: (368), (369) imply: % 59.34/8.88 | | | | | | | | | | | | | (380) all_632_1 = all_616_2 % 59.34/8.88 | | | | | | | | | | | | | % 59.34/8.88 | | | | | | | | | | | | | COMBINE_EQS: (367), (368) imply: % 59.34/8.88 | | | | | | | | | | | | | (381) all_632_1 = 0 % 59.34/8.88 | | | | | | | | | | | | | % 59.34/8.88 | | | | | | | | | | | | | COMBINE_EQS: (368), (379) imply: % 59.34/8.88 | | | | | | | | | | | | | (382) all_632_1 = all_632_2 % 59.34/8.88 | | | | | | | | | | | | | % 59.34/8.88 | | | | | | | | | | | | | COMBINE_EQS: (375), (376) imply: % 59.34/8.88 | | | | | | | | | | | | | (383) all_634_3 = all_616_1 % 59.34/8.88 | | | | | | | | | | | | | % 59.34/8.88 | | | | | | | | | | | | | SIMP: (383) implies: % 59.34/8.88 | | | | | | | | | | | | | (384) all_634_3 = all_616_1 % 59.34/8.88 | | | | | | | | | | | | | % 59.34/8.88 | | | | | | | | | | | | | COMBINE_EQS: (374), (384) imply: % 59.34/8.88 | | | | | | | | | | | | | (385) all_630_2 = all_616_1 % 59.34/8.88 | | | | | | | | | | | | | % 59.34/8.88 | | | | | | | | | | | | | SIMP: (385) implies: % 59.34/8.88 | | | | | | | | | | | | | (386) all_630_2 = all_616_1 % 59.34/8.88 | | | | | | | | | | | | | % 59.34/8.88 | | | | | | | | | | | | | COMBINE_EQS: (381), (382) imply: % 59.34/8.88 | | | | | | | | | | | | | (387) all_632_2 = 0 % 59.34/8.88 | | | | | | | | | | | | | % 59.34/8.89 | | | | | | | | | | | | | COMBINE_EQS: (380), (382) imply: % 59.34/8.89 | | | | | | | | | | | | | (388) all_632_2 = all_616_2 % 59.34/8.89 | | | | | | | | | | | | | % 59.34/8.89 | | | | | | | | | | | | | COMBINE_EQS: (387), (388) imply: % 59.34/8.89 | | | | | | | | | | | | | (389) all_616_2 = 0 % 59.34/8.89 | | | | | | | | | | | | | % 59.34/8.89 | | | | | | | | | | | | | SIMP: (389) implies: % 59.34/8.89 | | | | | | | | | | | | | (390) all_616_2 = 0 % 59.34/8.89 | | | | | | | | | | | | | % 59.34/8.89 | | | | | | | | | | | | | COMBINE_EQS: (372), (373) imply: % 59.34/8.89 | | | | | | | | | | | | | (391) all_630_2 = 0 % 59.34/8.89 | | | | | | | | | | | | | % 59.34/8.89 | | | | | | | | | | | | | SIMP: (391) implies: % 59.34/8.89 | | | | | | | | | | | | | (392) all_630_2 = 0 % 59.34/8.89 | | | | | | | | | | | | | % 59.34/8.89 | | | | | | | | | | | | | COMBINE_EQS: (386), (392) imply: % 59.34/8.89 | | | | | | | | | | | | | (393) all_616_1 = 0 % 59.34/8.89 | | | | | | | | | | | | | % 59.34/8.89 | | | | | | | | | | | | | BETA: splitting (351) gives: % 59.34/8.89 | | | | | | | | | | | | | % 59.34/8.89 | | | | | | | | | | | | | Case 1: % 59.34/8.89 | | | | | | | | | | | | | | % 59.34/8.89 | | | | | | | | | | | | | | (394) ~ (all_616_1 = 0) % 59.34/8.89 | | | | | | | | | | | | | | % 59.34/8.89 | | | | | | | | | | | | | | REDUCE: (393), (394) imply: % 59.34/8.89 | | | | | | | | | | | | | | (395) $false % 59.34/8.89 | | | | | | | | | | | | | | % 59.34/8.89 | | | | | | | | | | | | | | CLOSE: (395) is inconsistent. % 59.34/8.89 | | | | | | | | | | | | | | % 59.34/8.89 | | | | | | | | | | | | | Case 2: % 59.34/8.89 | | | | | | | | | | | | | | % 59.34/8.89 | | | | | | | | | | | | | | (396) ~ (all_616_0 = all_45_2) | ~ (all_616_2 = 0) % 59.34/8.89 | | | | | | | | | | | | | | % 59.34/8.89 | | | | | | | | | | | | | | BETA: splitting (396) gives: % 59.34/8.89 | | | | | | | | | | | | | | % 59.34/8.89 | | | | | | | | | | | | | | Case 1: % 59.34/8.89 | | | | | | | | | | | | | | | % 59.34/8.89 | | | | | | | | | | | | | | | (397) ~ (all_616_2 = 0) % 59.34/8.89 | | | | | | | | | | | | | | | % 59.34/8.89 | | | | | | | | | | | | | | | REDUCE: (390), (397) imply: % 59.34/8.89 | | | | | | | | | | | | | | | (398) $false % 59.34/8.89 | | | | | | | | | | | | | | | % 59.34/8.89 | | | | | | | | | | | | | | | CLOSE: (398) is inconsistent. % 59.34/8.89 | | | | | | | | | | | | | | | % 59.34/8.89 | | | | | | | | | | | | | | Case 2: % 59.34/8.89 | | | | | | | | | | | | | | | % 59.34/8.89 | | | | | | | | | | | | | | | (399) ~ (all_616_0 = all_45_2) % 59.34/8.89 | | | | | | | | | | | | | | | % 59.34/8.89 | | | | | | | | | | | | | | | REDUCE: (377), (399) imply: % 59.34/8.89 | | | | | | | | | | | | | | | (400) $false % 59.34/8.89 | | | | | | | | | | | | | | | % 59.34/8.89 | | | | | | | | | | | | | | | CLOSE: (400) is inconsistent. % 59.34/8.89 | | | | | | | | | | | | | | | % 59.34/8.89 | | | | | | | | | | | | | | End of split % 59.34/8.89 | | | | | | | | | | | | | | % 59.34/8.89 | | | | | | | | | | | | | End of split % 59.34/8.89 | | | | | | | | | | | | | % 59.34/8.89 | | | | | | | | | | | | End of split % 59.34/8.89 | | | | | | | | | | | | % 59.34/8.89 | | | | | | | | | | | End of split % 59.34/8.89 | | | | | | | | | | | % 59.34/8.89 | | | | | | | | | | End of split % 59.34/8.89 | | | | | | | | | | % 59.34/8.89 | | | | | | | | | End of split % 59.34/8.89 | | | | | | | | | % 59.34/8.89 | | | | | | | | End of split % 59.34/8.89 | | | | | | | | % 59.34/8.89 | | | | | | | End of split % 59.34/8.89 | | | | | | | % 59.34/8.89 | | | | | | Case 2: % 59.34/8.89 | | | | | | | % 59.34/8.89 | | | | | | | (401) all_45_1 = 0 & ~ (all_45_0 = 0) % 59.34/8.89 | | | | | | | % 59.34/8.89 | | | | | | | ALPHA: (401) implies: % 59.34/8.89 | | | | | | | (402) all_45_1 = 0 % 59.34/8.89 | | | | | | | (403) ~ (all_45_0 = 0) % 59.34/8.89 | | | | | | | % 59.34/8.89 | | | | | | | BETA: splitting (34) gives: % 59.34/8.89 | | | | | | | % 59.34/8.89 | | | | | | | Case 1: % 59.34/8.89 | | | | | | | | % 59.34/8.89 | | | | | | | | (404) ~ (all_322_7 = 0) % 59.34/8.89 | | | | | | | | % 59.34/8.89 | | | | | | | | REDUCE: (248), (404) imply: % 59.34/8.89 | | | | | | | | (405) $false % 59.34/8.89 | | | | | | | | % 59.34/8.89 | | | | | | | | CLOSE: (405) is inconsistent. % 59.34/8.89 | | | | | | | | % 59.34/8.89 | | | | | | | Case 2: % 59.34/8.89 | | | | | | | | % 59.34/8.89 | | | | | | | | (406) ~ (all_322_8 = 0) | all_322_9 = 0 | (( ~ (all_45_1 = % 59.34/8.89 | | | | | | | | 0) | (all_322_0 = 0 & all_322_1 = all_45_2 & % 59.34/8.89 | | | | | | | | all_322_2 = 0 & all_322_3 = 0 & % 59.34/8.89 | | | | | | | | below_refl(all_45_8, all_322_5, all_322_4) = 0 & % 59.34/8.89 | | | | | | | | ordered_pair_as_product_element(all_322_6, % 59.34/8.89 | | | | | | | | all_322_6, all_322_5, all_322_4) = all_45_2 & % 59.34/8.89 | | | | | | | | element(all_322_4, all_322_6) = 0 & % 59.34/8.89 | | | | | | | | element(all_322_5, all_322_6) = 0)) & (all_45_1 = % 59.34/8.89 | | | | | | | | 0 | ( ! [v0: $i] : ! [v1: $i] : ( ~ % 59.34/8.89 | | | | | | | | (below_refl(all_45_8, v0, v1) = 0) | ~ $i(v1) % 59.34/8.89 | | | | | | | | | ~ $i(v0) | ? [v2: any] : ? [v3: any] : ? % 59.34/8.89 | | | | | | | | [v4: $i] : % 59.34/8.89 | | | | | | | | (ordered_pair_as_product_element(all_322_6, % 59.34/8.89 | | | | | | | | all_322_6, v0, v1) = v4 & element(v1, % 59.34/8.89 | | | | | | | | all_322_6) = v3 & element(v0, all_322_6) = % 59.34/8.89 | | | | | | | | v2 & $i(v4) & ( ~ (v4 = all_45_2) | ~ (v3 = % 59.34/8.89 | | | | | | | | 0) | ~ (v2 = 0)))) & ! [v0: $i] : ! % 59.34/8.89 | | | | | | | | [v1: $i] : ( ~ % 59.34/8.89 | | | | | | | | (ordered_pair_as_product_element(all_322_6, % 59.34/8.89 | | | | | | | | all_322_6, v0, v1) = all_45_2) | ~ $i(v1) % 59.34/8.89 | | | | | | | | | ~ $i(v0) | ? [v2: any] : ? [v3: any] : ? % 59.34/8.89 | | | | | | | | [v4: any] : (below_refl(all_45_8, v0, v1) = v4 % 59.34/8.89 | | | | | | | | & element(v1, all_322_6) = v3 & element(v0, % 59.34/8.89 | | | | | | | | all_322_6) = v2 & ( ~ (v4 = 0) | ~ (v3 = % 59.34/8.89 | | | | | | | | 0) | ~ (v2 = 0))))))) % 59.34/8.89 | | | | | | | | % 59.34/8.89 | | | | | | | | BETA: splitting (406) gives: % 59.34/8.89 | | | | | | | | % 59.34/8.89 | | | | | | | | Case 1: % 59.34/8.89 | | | | | | | | | % 59.34/8.89 | | | | | | | | | (407) ~ (all_322_8 = 0) % 59.34/8.89 | | | | | | | | | % 59.34/8.89 | | | | | | | | | REDUCE: (166), (407) imply: % 59.34/8.89 | | | | | | | | | (408) $false % 59.34/8.89 | | | | | | | | | % 59.34/8.89 | | | | | | | | | CLOSE: (408) is inconsistent. % 59.34/8.89 | | | | | | | | | % 59.34/8.89 | | | | | | | | Case 2: % 59.34/8.89 | | | | | | | | | % 59.34/8.89 | | | | | | | | | (409) all_322_9 = 0 | (( ~ (all_45_1 = 0) | (all_322_0 = 0 % 59.34/8.89 | | | | | | | | | & all_322_1 = all_45_2 & all_322_2 = 0 & % 59.34/8.89 | | | | | | | | | all_322_3 = 0 & below_refl(all_45_8, all_322_5, % 59.34/8.89 | | | | | | | | | all_322_4) = 0 & % 59.34/8.89 | | | | | | | | | ordered_pair_as_product_element(all_322_6, % 59.34/8.89 | | | | | | | | | all_322_6, all_322_5, all_322_4) = all_45_2 & % 59.34/8.89 | | | | | | | | | element(all_322_4, all_322_6) = 0 & % 59.34/8.89 | | | | | | | | | element(all_322_5, all_322_6) = 0)) & (all_45_1 % 59.34/8.89 | | | | | | | | | = 0 | ( ! [v0: $i] : ! [v1: $i] : ( ~ % 59.34/8.89 | | | | | | | | | (below_refl(all_45_8, v0, v1) = 0) | ~ % 59.34/8.89 | | | | | | | | | $i(v1) | ~ $i(v0) | ? [v2: any] : ? [v3: % 59.34/8.89 | | | | | | | | | any] : ? [v4: $i] : % 59.34/8.89 | | | | | | | | | (ordered_pair_as_product_element(all_322_6, % 59.34/8.89 | | | | | | | | | all_322_6, v0, v1) = v4 & element(v1, % 59.34/8.89 | | | | | | | | | all_322_6) = v3 & element(v0, all_322_6) % 59.34/8.89 | | | | | | | | | = v2 & $i(v4) & ( ~ (v4 = all_45_2) | ~ % 59.34/8.89 | | | | | | | | | (v3 = 0) | ~ (v2 = 0)))) & ! [v0: $i] : % 59.34/8.89 | | | | | | | | | ! [v1: $i] : ( ~ % 59.34/8.89 | | | | | | | | | (ordered_pair_as_product_element(all_322_6, % 59.34/8.89 | | | | | | | | | all_322_6, v0, v1) = all_45_2) | ~ % 59.34/8.89 | | | | | | | | | $i(v1) | ~ $i(v0) | ? [v2: any] : ? [v3: % 59.34/8.89 | | | | | | | | | any] : ? [v4: any] : (below_refl(all_45_8, % 59.34/8.89 | | | | | | | | | v0, v1) = v4 & element(v1, all_322_6) = % 59.34/8.89 | | | | | | | | | v3 & element(v0, all_322_6) = v2 & ( ~ (v4 % 59.34/8.89 | | | | | | | | | = 0) | ~ (v3 = 0) | ~ (v2 = 0))))))) % 59.34/8.89 | | | | | | | | | % 59.34/8.89 | | | | | | | | | BETA: splitting (409) gives: % 59.34/8.89 | | | | | | | | | % 59.34/8.89 | | | | | | | | | Case 1: % 59.34/8.89 | | | | | | | | | | % 59.34/8.89 | | | | | | | | | | (410) all_322_9 = 0 % 59.34/8.89 | | | | | | | | | | % 59.34/8.89 | | | | | | | | | | COMBINE_EQS: (247), (410) imply: % 59.34/8.89 | | | | | | | | | | (411) all_45_7 = 0 % 59.34/8.89 | | | | | | | | | | % 59.34/8.89 | | | | | | | | | | REDUCE: (67), (411) imply: % 59.34/8.89 | | | | | | | | | | (412) $false % 59.34/8.89 | | | | | | | | | | % 59.34/8.89 | | | | | | | | | | CLOSE: (412) is inconsistent. % 59.34/8.89 | | | | | | | | | | % 59.34/8.89 | | | | | | | | | Case 2: % 59.34/8.89 | | | | | | | | | | % 59.34/8.89 | | | | | | | | | | (413) ( ~ (all_45_1 = 0) | (all_322_0 = 0 & all_322_1 = % 59.34/8.89 | | | | | | | | | | all_45_2 & all_322_2 = 0 & all_322_3 = 0 & % 59.34/8.89 | | | | | | | | | | below_refl(all_45_8, all_322_5, all_322_4) = 0 % 59.34/8.89 | | | | | | | | | | & ordered_pair_as_product_element(all_322_6, % 59.34/8.89 | | | | | | | | | | all_322_6, all_322_5, all_322_4) = all_45_2 & % 59.34/8.89 | | | | | | | | | | element(all_322_4, all_322_6) = 0 & % 59.34/8.89 | | | | | | | | | | element(all_322_5, all_322_6) = 0)) & (all_45_1 % 59.34/8.89 | | | | | | | | | | = 0 | ( ! [v0: $i] : ! [v1: $i] : ( ~ % 59.34/8.89 | | | | | | | | | | (below_refl(all_45_8, v0, v1) = 0) | ~ % 59.34/8.89 | | | | | | | | | | $i(v1) | ~ $i(v0) | ? [v2: any] : ? [v3: % 59.34/8.89 | | | | | | | | | | any] : ? [v4: $i] : % 59.34/8.89 | | | | | | | | | | (ordered_pair_as_product_element(all_322_6, % 59.34/8.89 | | | | | | | | | | all_322_6, v0, v1) = v4 & element(v1, % 59.34/8.89 | | | | | | | | | | all_322_6) = v3 & element(v0, all_322_6) % 59.34/8.89 | | | | | | | | | | = v2 & $i(v4) & ( ~ (v4 = all_45_2) | ~ % 59.34/8.89 | | | | | | | | | | (v3 = 0) | ~ (v2 = 0)))) & ! [v0: $i] : % 59.34/8.89 | | | | | | | | | | ! [v1: $i] : ( ~ % 59.34/8.89 | | | | | | | | | | (ordered_pair_as_product_element(all_322_6, % 59.34/8.89 | | | | | | | | | | all_322_6, v0, v1) = all_45_2) | ~ % 59.34/8.89 | | | | | | | | | | $i(v1) | ~ $i(v0) | ? [v2: any] : ? [v3: % 59.34/8.89 | | | | | | | | | | any] : ? [v4: any] : (below_refl(all_45_8, % 59.34/8.89 | | | | | | | | | | v0, v1) = v4 & element(v1, all_322_6) = % 59.34/8.89 | | | | | | | | | | v3 & element(v0, all_322_6) = v2 & ( ~ (v4 % 59.34/8.89 | | | | | | | | | | = 0) | ~ (v3 = 0) | ~ (v2 = 0)))))) % 59.34/8.89 | | | | | | | | | | % 59.34/8.89 | | | | | | | | | | ALPHA: (413) implies: % 59.34/8.89 | | | | | | | | | | (414) ~ (all_45_1 = 0) | (all_322_0 = 0 & all_322_1 = % 59.34/8.89 | | | | | | | | | | all_45_2 & all_322_2 = 0 & all_322_3 = 0 & % 59.34/8.89 | | | | | | | | | | below_refl(all_45_8, all_322_5, all_322_4) = 0 & % 59.34/8.89 | | | | | | | | | | ordered_pair_as_product_element(all_322_6, % 59.34/8.89 | | | | | | | | | | all_322_6, all_322_5, all_322_4) = all_45_2 & % 59.34/8.89 | | | | | | | | | | element(all_322_4, all_322_6) = 0 & % 59.34/8.89 | | | | | | | | | | element(all_322_5, all_322_6) = 0) % 59.34/8.89 | | | | | | | | | | % 59.34/8.89 | | | | | | | | | | BETA: splitting (414) gives: % 59.34/8.89 | | | | | | | | | | % 59.34/8.89 | | | | | | | | | | Case 1: % 59.34/8.89 | | | | | | | | | | | % 59.34/8.89 | | | | | | | | | | | (415) ~ (all_45_1 = 0) % 59.34/8.89 | | | | | | | | | | | % 59.34/8.89 | | | | | | | | | | | REDUCE: (402), (415) imply: % 59.34/8.89 | | | | | | | | | | | (416) $false % 59.34/8.89 | | | | | | | | | | | % 59.34/8.89 | | | | | | | | | | | CLOSE: (416) is inconsistent. % 59.34/8.89 | | | | | | | | | | | % 59.34/8.89 | | | | | | | | | | Case 2: % 59.34/8.89 | | | | | | | | | | | % 59.34/8.89 | | | | | | | | | | | (417) all_322_0 = 0 & all_322_1 = all_45_2 & all_322_2 = % 59.34/8.89 | | | | | | | | | | | 0 & all_322_3 = 0 & below_refl(all_45_8, % 59.34/8.89 | | | | | | | | | | | all_322_5, all_322_4) = 0 & % 59.34/8.89 | | | | | | | | | | | ordered_pair_as_product_element(all_322_6, % 59.34/8.89 | | | | | | | | | | | all_322_6, all_322_5, all_322_4) = all_45_2 & % 59.34/8.89 | | | | | | | | | | | element(all_322_4, all_322_6) = 0 & % 59.34/8.89 | | | | | | | | | | | element(all_322_5, all_322_6) = 0 % 59.34/8.89 | | | | | | | | | | | % 59.34/8.89 | | | | | | | | | | | ALPHA: (417) implies: % 59.34/8.89 | | | | | | | | | | | (418) element(all_322_5, all_322_6) = 0 % 59.34/8.89 | | | | | | | | | | | (419) element(all_322_4, all_322_6) = 0 % 59.34/8.89 | | | | | | | | | | | (420) ordered_pair_as_product_element(all_322_6, % 59.34/8.89 | | | | | | | | | | | all_322_6, all_322_5, all_322_4) = all_45_2 % 59.34/8.89 | | | | | | | | | | | (421) below_refl(all_45_8, all_322_5, all_322_4) = 0 % 59.34/8.89 | | | | | | | | | | | % 59.34/8.89 | | | | | | | | | | | REDUCE: (249), (420) imply: % 59.34/8.89 | | | | | | | | | | | (422) ordered_pair_as_product_element(all_45_6, % 59.34/8.89 | | | | | | | | | | | all_45_6, all_322_5, all_322_4) = all_45_2 % 59.34/8.89 | | | | | | | | | | | % 59.34/8.89 | | | | | | | | | | | REDUCE: (249), (419) imply: % 59.34/8.89 | | | | | | | | | | | (423) element(all_322_4, all_45_6) = 0 % 59.34/8.89 | | | | | | | | | | | % 59.34/8.89 | | | | | | | | | | | REDUCE: (249), (418) imply: % 59.34/8.89 | | | | | | | | | | | (424) element(all_322_5, all_45_6) = 0 % 59.34/8.89 | | | | | | | | | | | % 59.34/8.89 | | | | | | | | | | | BETA: splitting (84) gives: % 59.34/8.89 | | | | | | | | | | | % 59.34/8.89 | | | | | | | | | | | Case 1: % 59.34/8.89 | | | | | | | | | | | | % 59.34/8.89 | | | | | | | | | | | | % 59.34/8.89 | | | | | | | | | | | | GROUND_INST: instantiating (57) with all_322_5, all_45_6, % 59.34/8.89 | | | | | | | | | | | | simplifying with (69), (250), (424) gives: % 59.34/8.89 | | | | | | | | | | | | (425) ? [v0: any] : ? [v1: any] : (empty(all_45_6) = % 59.34/8.89 | | | | | | | | | | | | v0 & in(all_322_5, all_45_6) = v1 & (v1 = 0 | v0 % 59.34/8.89 | | | | | | | | | | | | = 0)) % 59.34/8.89 | | | | | | | | | | | | % 59.34/8.89 | | | | | | | | | | | | GROUND_INST: instantiating (57) with all_322_4, all_45_6, % 59.34/8.89 | | | | | | | | | | | | simplifying with (102), (250), (423) gives: % 59.34/8.89 | | | | | | | | | | | | (426) ? [v0: any] : ? [v1: any] : (empty(all_45_6) = % 59.34/8.89 | | | | | | | | | | | | v0 & in(all_322_4, all_45_6) = v1 & (v1 = 0 | v0 % 59.34/8.89 | | | | | | | | | | | | = 0)) % 59.34/8.89 | | | | | | | | | | | | % 59.34/8.89 | | | | | | | | | | | | GROUND_INST: instantiating (71) with all_45_6, all_45_6, % 59.34/8.89 | | | | | | | | | | | | all_322_5, all_322_4, all_45_2, simplifying with % 59.34/8.89 | | | | | | | | | | | | (69), (102), (250), (422) gives: % 59.34/8.89 | | | | | | | | | | | | (427) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? % 59.34/8.89 | | | | | | | | | | | | [v3: any] : ? [v4: $i] : (empty(all_45_6) = v1 & % 59.34/8.89 | | | | | | | | | | | | empty(all_45_6) = v0 & element(all_322_4, % 59.34/8.89 | | | | | | | | | | | | all_45_6) = v3 & element(all_322_5, all_45_6) % 59.34/8.89 | | | | | | | | | | | | = v2 & ordered_pair(all_322_5, all_322_4) = v4 & % 59.34/8.89 | | | | | | | | | | | | $i(v4) & ( ~ (v3 = 0) | ~ (v2 = 0) | v4 = % 59.34/8.89 | | | | | | | | | | | | all_45_2 | v1 = 0 | v0 = 0)) % 59.34/8.89 | | | | | | | | | | | | % 59.34/8.89 | | | | | | | | | | | | DELTA: instantiating (426) with fresh symbols all_582_0, % 59.34/8.89 | | | | | | | | | | | | all_582_1 gives: % 59.34/8.89 | | | | | | | | | | | | (428) empty(all_45_6) = all_582_1 & in(all_322_4, % 59.34/8.89 | | | | | | | | | | | | all_45_6) = all_582_0 & (all_582_0 = 0 | % 59.34/8.89 | | | | | | | | | | | | all_582_1 = 0) % 59.34/8.89 | | | | | | | | | | | | % 59.34/8.89 | | | | | | | | | | | | ALPHA: (428) implies: % 59.34/8.89 | | | | | | | | | | | | (429) empty(all_45_6) = all_582_1 % 59.34/8.89 | | | | | | | | | | | | % 59.34/8.89 | | | | | | | | | | | | DELTA: instantiating (425) with fresh symbols all_584_0, % 59.34/8.89 | | | | | | | | | | | | all_584_1 gives: % 59.34/8.89 | | | | | | | | | | | | (430) empty(all_45_6) = all_584_1 & in(all_322_5, % 59.34/8.89 | | | | | | | | | | | | all_45_6) = all_584_0 & (all_584_0 = 0 | % 59.34/8.89 | | | | | | | | | | | | all_584_1 = 0) % 59.34/8.89 | | | | | | | | | | | | % 59.34/8.89 | | | | | | | | | | | | ALPHA: (430) implies: % 59.34/8.89 | | | | | | | | | | | | (431) empty(all_45_6) = all_584_1 % 59.34/8.89 | | | | | | | | | | | | % 59.34/8.89 | | | | | | | | | | | | DELTA: instantiating (427) with fresh symbols all_604_0, % 59.34/8.89 | | | | | | | | | | | | all_604_1, all_604_2, all_604_3, all_604_4 gives: % 59.34/8.89 | | | | | | | | | | | | (432) empty(all_45_6) = all_604_3 & empty(all_45_6) = % 59.34/8.89 | | | | | | | | | | | | all_604_4 & element(all_322_4, all_45_6) = % 59.34/8.89 | | | | | | | | | | | | all_604_1 & element(all_322_5, all_45_6) = % 59.34/8.89 | | | | | | | | | | | | all_604_2 & ordered_pair(all_322_5, all_322_4) = % 59.34/8.89 | | | | | | | | | | | | all_604_0 & $i(all_604_0) & ( ~ (all_604_1 = 0) | % 59.34/8.89 | | | | | | | | | | | | ~ (all_604_2 = 0) | all_604_0 = all_45_2 | % 59.34/8.89 | | | | | | | | | | | | all_604_3 = 0 | all_604_4 = 0) % 59.34/8.89 | | | | | | | | | | | | % 59.34/8.89 | | | | | | | | | | | | ALPHA: (432) implies: % 59.34/8.89 | | | | | | | | | | | | (433) ordered_pair(all_322_5, all_322_4) = all_604_0 % 59.34/8.89 | | | | | | | | | | | | (434) element(all_322_5, all_45_6) = all_604_2 % 59.34/8.89 | | | | | | | | | | | | (435) element(all_322_4, all_45_6) = all_604_1 % 59.34/8.89 | | | | | | | | | | | | (436) empty(all_45_6) = all_604_4 % 59.34/8.89 | | | | | | | | | | | | (437) empty(all_45_6) = all_604_3 % 59.34/8.89 | | | | | | | | | | | | (438) ~ (all_604_1 = 0) | ~ (all_604_2 = 0) | % 59.34/8.89 | | | | | | | | | | | | all_604_0 = all_45_2 | all_604_3 = 0 | all_604_4 = % 59.34/8.89 | | | | | | | | | | | | 0 % 59.34/8.89 | | | | | | | | | | | | % 59.34/8.89 | | | | | | | | | | | | GROUND_INST: instantiating (38) with 0, all_604_2, all_45_6, % 59.34/8.89 | | | | | | | | | | | | all_322_5, simplifying with (424), (434) gives: % 59.34/8.89 | | | | | | | | | | | | (439) all_604_2 = 0 % 59.34/8.89 | | | | | | | | | | | | % 59.34/8.89 | | | | | | | | | | | | GROUND_INST: instantiating (38) with 0, all_604_1, all_45_6, % 59.34/8.89 | | | | | | | | | | | | all_322_4, simplifying with (423), (435) gives: % 59.34/8.89 | | | | | | | | | | | | (440) all_604_1 = 0 % 59.34/8.89 | | | | | | | | | | | | % 59.34/8.89 | | | | | | | | | | | | GROUND_INST: instantiating (52) with all_55_1, all_604_4, % 59.34/8.89 | | | | | | | | | | | | all_45_6, simplifying with (2), (436) gives: % 59.34/8.89 | | | | | | | | | | | | (441) all_604_4 = all_55_1 % 59.34/8.89 | | | | | | | | | | | | % 59.34/8.89 | | | | | | | | | | | | GROUND_INST: instantiating (52) with all_604_4, all_604_3, % 59.34/8.89 | | | | | | | | | | | | all_45_6, simplifying with (436), (437) gives: % 59.34/8.89 | | | | | | | | | | | | (442) all_604_3 = all_604_4 % 59.34/8.89 | | | | | | | | | | | | % 59.34/8.89 | | | | | | | | | | | | GROUND_INST: instantiating (52) with all_584_1, all_604_3, % 59.34/8.89 | | | | | | | | | | | | all_45_6, simplifying with (431), (437) gives: % 59.34/8.89 | | | | | | | | | | | | (443) all_604_3 = all_584_1 % 59.34/8.89 | | | | | | | | | | | | % 59.34/8.89 | | | | | | | | | | | | GROUND_INST: instantiating (52) with all_582_1, all_604_3, % 59.34/8.89 | | | | | | | | | | | | all_45_6, simplifying with (429), (437) gives: % 59.34/8.89 | | | | | | | | | | | | (444) all_604_3 = all_582_1 % 59.34/8.89 | | | | | | | | | | | | % 59.34/8.89 | | | | | | | | | | | | COMBINE_EQS: (443), (444) imply: % 59.34/8.89 | | | | | | | | | | | | (445) all_584_1 = all_582_1 % 59.34/8.89 | | | | | | | | | | | | % 59.34/8.89 | | | | | | | | | | | | COMBINE_EQS: (442), (443) imply: % 59.34/8.89 | | | | | | | | | | | | (446) all_604_4 = all_584_1 % 59.34/8.89 | | | | | | | | | | | | % 59.34/8.89 | | | | | | | | | | | | SIMP: (446) implies: % 59.34/8.89 | | | | | | | | | | | | (447) all_604_4 = all_584_1 % 59.34/8.89 | | | | | | | | | | | | % 59.34/8.89 | | | | | | | | | | | | COMBINE_EQS: (441), (447) imply: % 59.34/8.89 | | | | | | | | | | | | (448) all_584_1 = all_55_1 % 59.34/8.89 | | | | | | | | | | | | % 59.34/8.89 | | | | | | | | | | | | SIMP: (448) implies: % 59.58/8.89 | | | | | | | | | | | | (449) all_584_1 = all_55_1 % 59.58/8.89 | | | | | | | | | | | | % 59.58/8.89 | | | | | | | | | | | | COMBINE_EQS: (445), (449) imply: % 59.58/8.89 | | | | | | | | | | | | (450) all_582_1 = all_55_1 % 59.58/8.89 | | | | | | | | | | | | % 59.58/8.89 | | | | | | | | | | | | COMBINE_EQS: (443), (449) imply: % 59.58/8.89 | | | | | | | | | | | | (451) all_604_3 = all_55_1 % 59.58/8.89 | | | | | | | | | | | | % 59.58/8.89 | | | | | | | | | | | | BETA: splitting (438) gives: % 59.58/8.89 | | | | | | | | | | | | % 59.58/8.89 | | | | | | | | | | | | Case 1: % 59.58/8.89 | | | | | | | | | | | | | % 59.58/8.89 | | | | | | | | | | | | | (452) ~ (all_604_1 = 0) % 59.58/8.89 | | | | | | | | | | | | | % 59.58/8.89 | | | | | | | | | | | | | REDUCE: (440), (452) imply: % 59.58/8.89 | | | | | | | | | | | | | (453) $false % 59.58/8.89 | | | | | | | | | | | | | % 59.58/8.89 | | | | | | | | | | | | | CLOSE: (453) is inconsistent. % 59.58/8.89 | | | | | | | | | | | | | % 59.58/8.89 | | | | | | | | | | | | Case 2: % 59.58/8.89 | | | | | | | | | | | | | % 59.58/8.89 | | | | | | | | | | | | | (454) ~ (all_604_2 = 0) | all_604_0 = all_45_2 | % 59.58/8.89 | | | | | | | | | | | | | all_604_3 = 0 | all_604_4 = 0 % 59.58/8.89 | | | | | | | | | | | | | % 59.58/8.89 | | | | | | | | | | | | | BETA: splitting (454) gives: % 59.58/8.89 | | | | | | | | | | | | | % 59.58/8.89 | | | | | | | | | | | | | Case 1: % 59.58/8.89 | | | | | | | | | | | | | | % 59.58/8.89 | | | | | | | | | | | | | | (455) ~ (all_604_2 = 0) % 59.58/8.89 | | | | | | | | | | | | | | % 59.58/8.89 | | | | | | | | | | | | | | REDUCE: (439), (455) imply: % 59.58/8.89 | | | | | | | | | | | | | | (456) $false % 59.58/8.89 | | | | | | | | | | | | | | % 59.58/8.89 | | | | | | | | | | | | | | CLOSE: (456) is inconsistent. % 59.58/8.89 | | | | | | | | | | | | | | % 59.58/8.89 | | | | | | | | | | | | | Case 2: % 59.58/8.89 | | | | | | | | | | | | | | % 59.58/8.89 | | | | | | | | | | | | | | (457) all_604_0 = all_45_2 | all_604_3 = 0 | all_604_4 = % 59.58/8.89 | | | | | | | | | | | | | | 0 % 59.58/8.89 | | | | | | | | | | | | | | % 59.58/8.89 | | | | | | | | | | | | | | BETA: splitting (457) gives: % 59.58/8.90 | | | | | | | | | | | | | | % 59.58/8.90 | | | | | | | | | | | | | | Case 1: % 59.58/8.90 | | | | | | | | | | | | | | | % 59.58/8.90 | | | | | | | | | | | | | | | (458) all_604_3 = 0 % 59.58/8.90 | | | | | | | | | | | | | | | % 59.58/8.90 | | | | | | | | | | | | | | | COMBINE_EQS: (451), (458) imply: % 59.58/8.90 | | | | | | | | | | | | | | | (459) all_55_1 = 0 % 59.58/8.90 | | | | | | | | | | | | | | | % 59.58/8.90 | | | | | | | | | | | | | | | SIMP: (459) implies: % 59.58/8.90 | | | | | | | | | | | | | | | (460) all_55_1 = 0 % 59.58/8.90 | | | | | | | | | | | | | | | % 59.58/8.90 | | | | | | | | | | | | | | | REDUCE: (109), (460) imply: % 59.58/8.90 | | | | | | | | | | | | | | | (461) $false % 59.58/8.90 | | | | | | | | | | | | | | | % 59.58/8.90 | | | | | | | | | | | | | | | CLOSE: (461) is inconsistent. % 59.58/8.90 | | | | | | | | | | | | | | | % 59.58/8.90 | | | | | | | | | | | | | | Case 2: % 59.58/8.90 | | | | | | | | | | | | | | | % 59.58/8.90 | | | | | | | | | | | | | | | (462) ~ (all_604_3 = 0) % 59.58/8.90 | | | | | | | | | | | | | | | (463) all_604_0 = all_45_2 | all_604_4 = 0 % 59.58/8.90 | | | | | | | | | | | | | | | % 59.58/8.90 | | | | | | | | | | | | | | | BETA: splitting (463) gives: % 59.58/8.90 | | | | | | | | | | | | | | | % 59.58/8.90 | | | | | | | | | | | | | | | Case 1: % 59.58/8.90 | | | | | | | | | | | | | | | | % 59.58/8.90 | | | | | | | | | | | | | | | | (464) all_604_4 = 0 % 59.58/8.90 | | | | | | | | | | | | | | | | % 59.58/8.90 | | | | | | | | | | | | | | | | COMBINE_EQS: (441), (464) imply: % 59.58/8.90 | | | | | | | | | | | | | | | | (465) all_55_1 = 0 % 59.58/8.90 | | | | | | | | | | | | | | | | % 59.58/8.90 | | | | | | | | | | | | | | | | SIMP: (465) implies: % 59.58/8.90 | | | | | | | | | | | | | | | | (466) all_55_1 = 0 % 59.58/8.90 | | | | | | | | | | | | | | | | % 59.58/8.90 | | | | | | | | | | | | | | | | REDUCE: (109), (466) imply: % 59.58/8.90 | | | | | | | | | | | | | | | | (467) $false % 59.58/8.90 | | | | | | | | | | | | | | | | % 59.58/8.90 | | | | | | | | | | | | | | | | CLOSE: (467) is inconsistent. % 59.58/8.90 | | | | | | | | | | | | | | | | % 59.58/8.90 | | | | | | | | | | | | | | | Case 2: % 59.58/8.90 | | | | | | | | | | | | | | | | % 59.58/8.90 | | | | | | | | | | | | | | | | (468) all_604_0 = all_45_2 % 59.58/8.90 | | | | | | | | | | | | | | | | % 59.58/8.90 | | | | | | | | | | | | | | | | REDUCE: (433), (468) imply: % 59.58/8.90 | | | | | | | | | | | | | | | | (469) ordered_pair(all_322_5, all_322_4) = all_45_2 % 59.58/8.90 | | | | | | | | | | | | | | | | % 59.58/8.90 | | | | | | | | | | | | | | | | BETA: splitting (39) gives: % 59.58/8.90 | | | | | | | | | | | | | | | | % 59.58/8.90 | | | | | | | | | | | | | | | | Case 1: % 59.58/8.90 | | | | | | | | | | | | | | | | | % 59.58/8.90 | | | | | | | | | | | | | | | | | % 59.58/8.90 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (30) with all_45_4, all_45_3, % 59.58/8.90 | | | | | | | | | | | | | | | | | all_322_5, all_322_4, all_45_2, simplifying with % 59.58/8.90 | | | | | | | | | | | | | | | | | (22), (53), (69), (102), (128), (469) gives: % 59.58/8.90 | | | | | | | | | | | | | | | | | (470) all_322_4 = all_45_3 % 59.58/8.90 | | | | | | | | | | | | | | | | | % 59.58/8.90 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (19) with all_45_4, all_45_3, % 59.58/8.90 | | | | | | | | | | | | | | | | | all_322_5, all_322_4, all_45_2, simplifying with % 59.58/8.90 | | | | | | | | | | | | | | | | | (22), (53), (69), (102), (128), (469) gives: % 59.58/8.90 | | | | | | | | | | | | | | | | | (471) all_322_5 = all_45_4 % 59.58/8.90 | | | | | | | | | | | | | | | | | % 59.58/8.90 | | | | | | | | | | | | | | | | | REDUCE: (421), (470), (471) imply: % 59.58/8.90 | | | | | | | | | | | | | | | | | (472) below_refl(all_45_8, all_45_4, all_45_3) = 0 % 59.58/8.90 | | | | | | | | | | | | | | | | | % 59.58/8.90 | | | | | | | | | | | | | | | | | REF_CLOSE: (1), (25), (403), (472) are inconsistent by % 59.58/8.90 | | | | | | | | | | | | | | | | | sub-proof #2. % 59.58/8.90 | | | | | | | | | | | | | | | | | % 59.58/8.90 | | | | | | | | | | | | | | | | Case 2: % 59.58/8.90 | | | | | | | | | | | | | | | | | % 59.58/8.90 | | | | | | | | | | | | | | | | | (473) ~ (all_65_2 = 0) % 59.58/8.90 | | | | | | | | | | | | | | | | | % 59.58/8.90 | | | | | | | | | | | | | | | | | BETA: splitting (89) gives: % 59.58/8.90 | | | | | | | | | | | | | | | | | % 59.58/8.90 | | | | | | | | | | | | | | | | | Case 1: % 59.58/8.90 | | | | | | | | | | | | | | | | | | % 59.58/8.90 | | | | | | | | | | | | | | | | | | (474) all_65_2 = 0 % 59.58/8.90 | | | | | | | | | | | | | | | | | | % 59.58/8.90 | | | | | | | | | | | | | | | | | | REDUCE: (473), (474) imply: % 59.58/8.90 | | | | | | | | | | | | | | | | | | (475) $false % 59.58/8.90 | | | | | | | | | | | | | | | | | | % 59.58/8.90 | | | | | | | | | | | | | | | | | | CLOSE: (475) is inconsistent. % 59.58/8.90 | | | | | | | | | | | | | | | | | | % 59.58/8.90 | | | | | | | | | | | | | | | | | Case 2: % 59.58/8.90 | | | | | | | | | | | | | | | | | | % 59.58/8.90 | | | | | | | | | | | | | | | | | | % 59.58/8.90 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (30) with all_45_4, all_45_3, % 59.58/8.90 | | | | | | | | | | | | | | | | | | all_322_5, all_322_4, all_45_2, simplifying with % 59.58/8.90 | | | | | | | | | | | | | | | | | | (22), (53), (69), (102), (128), (469) gives: % 59.58/8.90 | | | | | | | | | | | | | | | | | | (476) all_322_4 = all_45_3 % 59.58/8.90 | | | | | | | | | | | | | | | | | | % 59.58/8.90 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (19) with all_45_4, all_45_3, % 59.58/8.90 | | | | | | | | | | | | | | | | | | all_322_5, all_322_4, all_45_2, simplifying with % 59.58/8.90 | | | | | | | | | | | | | | | | | | (22), (53), (69), (102), (128), (469) gives: % 59.58/8.90 | | | | | | | | | | | | | | | | | | (477) all_322_5 = all_45_4 % 59.58/8.90 | | | | | | | | | | | | | | | | | | % 59.58/8.90 | | | | | | | | | | | | | | | | | | REDUCE: (421), (476), (477) imply: % 59.58/8.90 | | | | | | | | | | | | | | | | | | (478) below_refl(all_45_8, all_45_4, all_45_3) = 0 % 59.58/8.90 | | | | | | | | | | | | | | | | | | % 59.58/8.90 | | | | | | | | | | | | | | | | | | REF_CLOSE: (1), (25), (403), (478) are inconsistent by % 59.58/8.90 | | | | | | | | | | | | | | | | | | sub-proof #2. % 59.58/8.90 | | | | | | | | | | | | | | | | | | % 59.58/8.90 | | | | | | | | | | | | | | | | | End of split % 59.58/8.90 | | | | | | | | | | | | | | | | | % 59.58/8.90 | | | | | | | | | | | | | | | | End of split % 59.58/8.90 | | | | | | | | | | | | | | | | % 59.58/8.90 | | | | | | | | | | | | | | | End of split % 59.58/8.90 | | | | | | | | | | | | | | | % 59.58/8.90 | | | | | | | | | | | | | | End of split % 59.58/8.90 | | | | | | | | | | | | | | % 59.58/8.90 | | | | | | | | | | | | | End of split % 59.58/8.90 | | | | | | | | | | | | | % 59.58/8.90 | | | | | | | | | | | | End of split % 59.58/8.90 | | | | | | | | | | | | % 59.58/8.90 | | | | | | | | | | | Case 2: % 59.58/8.90 | | | | | | | | | | | | % 59.58/8.90 | | | | | | | | | | | | (479) all_75_2 = 0 % 59.58/8.90 | | | | | | | | | | | | % 59.58/8.90 | | | | | | | | | | | | REDUCE: (44), (479) imply: % 59.58/8.90 | | | | | | | | | | | | (480) lattice(all_37_0) = 0 % 59.58/8.90 | | | | | | | | | | | | % 59.58/8.90 | | | | | | | | | | | | BETA: splitting (8) gives: % 59.58/8.90 | | | | | | | | | | | | % 59.58/8.90 | | | | | | | | | | | | Case 1: % 59.58/8.90 | | | | | | | | | | | | | % 59.58/8.90 | | | | | | | | | | | | | % 59.58/8.90 | | | | | | | | | | | | | GROUND_INST: instantiating (48) with all_37_0, simplifying with % 59.58/8.90 | | | | | | | | | | | | | (15), (480) gives: % 59.58/8.90 | | | | | | | | | | | | | (481) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? % 59.58/8.90 | | | | | | | | | | | | | [v3: any] : ? [v4: any] : ? [v5: any] : ? [v6: % 59.58/8.90 | | | | | | | | | | | | | any] : ? [v7: any] : (latt_str(all_37_0) = v0 & % 59.58/8.90 | | | | | | | | | | | | | empty_carrier(all_37_0) = v1 & % 59.58/8.90 | | | | | | | | | | | | | join_commutative(all_37_0) = v2 & % 59.58/8.90 | | | | | | | | | | | | | join_associative(all_37_0) = v3 & % 59.58/8.90 | | | | | | | | | | | | | meet_commutative(all_37_0) = v4 & % 59.58/8.90 | | | | | | | | | | | | | meet_associative(all_37_0) = v5 & % 59.58/8.90 | | | | | | | | | | | | | meet_absorbing(all_37_0) = v6 & % 59.58/8.90 | | | | | | | | | | | | | join_absorbing(all_37_0) = v7 & ( ~ (v0 = 0) | % 59.58/8.90 | | | | | | | | | | | | | v1 = 0 | (v7 = 0 & v6 = 0 & v5 = 0 & v4 = 0 & % 59.58/8.90 | | | | | | | | | | | | | v3 = 0 & v2 = 0))) % 59.58/8.90 | | | | | | | | | | | | | % 59.58/8.90 | | | | | | | | | | | | | GROUND_INST: instantiating (99) with all_37_0, simplifying with % 59.58/8.90 | | | | | | | | | | | | | (15), (480) gives: % 59.58/8.90 | | | | | | | | | | | | | (482) ? [v0: any] : ? [v1: any] : ? [v2: $i] : ? % 59.58/8.90 | | | | | | | | | | | | | [v3: any] : (relation(v2) = v3 & % 59.58/8.90 | | | | | | | | | | | | | relation_of_lattice(all_37_0) = v2 & % 59.58/8.90 | | | | | | | | | | | | | latt_str(all_37_0) = v1 & % 59.58/8.90 | | | | | | | | | | | | | empty_carrier(all_37_0) = v0 & $i(v2) & ( ~ (v1 % 59.58/8.90 | | | | | | | | | | | | | = 0) | v3 = 0 | v0 = 0)) % 59.58/8.90 | | | | | | | | | | | | | % 59.58/8.90 | | | | | | | | | | | | | GROUND_INST: instantiating (56) with all_37_0, simplifying with % 59.58/8.90 | | | | | | | | | | | | | (15), (480) gives: % 59.58/8.90 | | | | | | | | | | | | | (483) ? [v0: any] : ? [v1: any] : ? [v2: $i] : ? % 59.58/8.90 | | | | | | | | | | | | | [v3: $i] : (a_1_0_filter_1(all_37_0) = v3 & % 59.58/8.90 | | | | | | | | | | | | | relation_of_lattice(all_37_0) = v2 & % 59.58/8.90 | | | | | | | | | | | | | latt_str(all_37_0) = v1 & % 59.58/8.90 | | | | | | | | | | | | | empty_carrier(all_37_0) = v0 & $i(v3) & $i(v2) & % 59.58/8.90 | | | | | | | | | | | | | ( ~ (v1 = 0) | v3 = v2 | v0 = 0)) % 59.58/8.90 | | | | | | | | | | | | | % 59.58/8.90 | | | | | | | | | | | | | GROUND_INST: instantiating (57) with all_322_5, all_45_6, % 59.58/8.90 | | | | | | | | | | | | | simplifying with (69), (250), (424) gives: % 59.58/8.90 | | | | | | | | | | | | | (484) ? [v0: any] : ? [v1: any] : (empty(all_45_6) = % 59.58/8.90 | | | | | | | | | | | | | v0 & in(all_322_5, all_45_6) = v1 & (v1 = 0 | v0 % 59.58/8.90 | | | | | | | | | | | | | = 0)) % 59.58/8.90 | | | | | | | | | | | | | % 59.58/8.90 | | | | | | | | | | | | | GROUND_INST: instantiating (57) with all_322_4, all_45_6, % 59.58/8.90 | | | | | | | | | | | | | simplifying with (102), (250), (423) gives: % 59.58/8.90 | | | | | | | | | | | | | (485) ? [v0: any] : ? [v1: any] : (empty(all_45_6) = % 59.58/8.90 | | | | | | | | | | | | | v0 & in(all_322_4, all_45_6) = v1 & (v1 = 0 | v0 % 59.58/8.90 | | | | | | | | | | | | | = 0)) % 59.58/8.90 | | | | | | | | | | | | | % 59.58/8.90 | | | | | | | | | | | | | GROUND_INST: instantiating (71) with all_45_6, all_45_6, % 59.58/8.90 | | | | | | | | | | | | | all_322_5, all_322_4, all_45_2, simplifying with % 59.58/8.90 | | | | | | | | | | | | | (69), (102), (250), (422) gives: % 59.58/8.90 | | | | | | | | | | | | | (486) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? % 59.58/8.90 | | | | | | | | | | | | | [v3: any] : ? [v4: $i] : (empty(all_45_6) = v1 & % 59.58/8.90 | | | | | | | | | | | | | empty(all_45_6) = v0 & element(all_322_4, % 59.58/8.90 | | | | | | | | | | | | | all_45_6) = v3 & element(all_322_5, all_45_6) % 59.58/8.90 | | | | | | | | | | | | | = v2 & ordered_pair(all_322_5, all_322_4) = v4 & % 59.58/8.90 | | | | | | | | | | | | | $i(v4) & ( ~ (v3 = 0) | ~ (v2 = 0) | v4 = % 59.58/8.90 | | | | | | | | | | | | | all_45_2 | v1 = 0 | v0 = 0)) % 59.58/8.90 | | | | | | | | | | | | | % 59.58/8.90 | | | | | | | | | | | | | DELTA: instantiating (484) with fresh symbols all_588_0, % 59.58/8.90 | | | | | | | | | | | | | all_588_1 gives: % 59.58/8.90 | | | | | | | | | | | | | (487) empty(all_45_6) = all_588_1 & in(all_322_5, % 59.58/8.90 | | | | | | | | | | | | | all_45_6) = all_588_0 & (all_588_0 = 0 | % 59.58/8.90 | | | | | | | | | | | | | all_588_1 = 0) % 59.58/8.90 | | | | | | | | | | | | | % 59.58/8.90 | | | | | | | | | | | | | ALPHA: (487) implies: % 59.58/8.90 | | | | | | | | | | | | | (488) empty(all_45_6) = all_588_1 % 59.58/8.90 | | | | | | | | | | | | | % 59.58/8.90 | | | | | | | | | | | | | DELTA: instantiating (485) with fresh symbols all_590_0, % 59.58/8.90 | | | | | | | | | | | | | all_590_1 gives: % 59.58/8.90 | | | | | | | | | | | | | (489) empty(all_45_6) = all_590_1 & in(all_322_4, % 59.58/8.90 | | | | | | | | | | | | | all_45_6) = all_590_0 & (all_590_0 = 0 | % 59.58/8.90 | | | | | | | | | | | | | all_590_1 = 0) % 59.58/8.90 | | | | | | | | | | | | | % 59.58/8.90 | | | | | | | | | | | | | ALPHA: (489) implies: % 59.58/8.90 | | | | | | | | | | | | | (490) empty(all_45_6) = all_590_1 % 59.58/8.90 | | | | | | | | | | | | | % 59.58/8.90 | | | | | | | | | | | | | DELTA: instantiating (482) with fresh symbols all_606_0, % 59.58/8.90 | | | | | | | | | | | | | all_606_1, all_606_2, all_606_3 gives: % 59.58/8.90 | | | | | | | | | | | | | (491) relation(all_606_1) = all_606_0 & % 59.58/8.90 | | | | | | | | | | | | | relation_of_lattice(all_37_0) = all_606_1 & % 59.58/8.90 | | | | | | | | | | | | | latt_str(all_37_0) = all_606_2 & % 59.58/8.90 | | | | | | | | | | | | | empty_carrier(all_37_0) = all_606_3 & % 59.58/8.90 | | | | | | | | | | | | | $i(all_606_1) & ( ~ (all_606_2 = 0) | all_606_0 = % 59.58/8.90 | | | | | | | | | | | | | 0 | all_606_3 = 0) % 59.58/8.90 | | | | | | | | | | | | | % 59.58/8.90 | | | | | | | | | | | | | ALPHA: (491) implies: % 59.58/8.90 | | | | | | | | | | | | | (492) latt_str(all_37_0) = all_606_2 % 59.58/8.90 | | | | | | | | | | | | | % 59.58/8.90 | | | | | | | | | | | | | DELTA: instantiating (483) with fresh symbols all_612_0, % 59.58/8.90 | | | | | | | | | | | | | all_612_1, all_612_2, all_612_3 gives: % 59.58/8.90 | | | | | | | | | | | | | (493) a_1_0_filter_1(all_37_0) = all_612_0 & % 59.58/8.90 | | | | | | | | | | | | | relation_of_lattice(all_37_0) = all_612_1 & % 59.58/8.90 | | | | | | | | | | | | | latt_str(all_37_0) = all_612_2 & % 59.58/8.90 | | | | | | | | | | | | | empty_carrier(all_37_0) = all_612_3 & % 59.58/8.90 | | | | | | | | | | | | | $i(all_612_0) & $i(all_612_1) & ( ~ (all_612_2 = % 59.58/8.90 | | | | | | | | | | | | | 0) | all_612_0 = all_612_1 | all_612_3 = 0) % 59.58/8.90 | | | | | | | | | | | | | % 59.58/8.90 | | | | | | | | | | | | | ALPHA: (493) implies: % 59.58/8.90 | | | | | | | | | | | | | (494) latt_str(all_37_0) = all_612_2 % 59.58/8.90 | | | | | | | | | | | | | % 59.58/8.90 | | | | | | | | | | | | | DELTA: instantiating (486) with fresh symbols all_614_0, % 59.58/8.90 | | | | | | | | | | | | | all_614_1, all_614_2, all_614_3, all_614_4 gives: % 59.58/8.90 | | | | | | | | | | | | | (495) empty(all_45_6) = all_614_3 & empty(all_45_6) = % 59.58/8.90 | | | | | | | | | | | | | all_614_4 & element(all_322_4, all_45_6) = % 59.58/8.90 | | | | | | | | | | | | | all_614_1 & element(all_322_5, all_45_6) = % 59.58/8.90 | | | | | | | | | | | | | all_614_2 & ordered_pair(all_322_5, all_322_4) = % 59.58/8.90 | | | | | | | | | | | | | all_614_0 & $i(all_614_0) & ( ~ (all_614_1 = 0) | % 59.58/8.90 | | | | | | | | | | | | | ~ (all_614_2 = 0) | all_614_0 = all_45_2 | % 59.58/8.90 | | | | | | | | | | | | | all_614_3 = 0 | all_614_4 = 0) % 59.58/8.90 | | | | | | | | | | | | | % 59.58/8.90 | | | | | | | | | | | | | ALPHA: (495) implies: % 59.58/8.90 | | | | | | | | | | | | | (496) ordered_pair(all_322_5, all_322_4) = all_614_0 % 59.58/8.90 | | | | | | | | | | | | | (497) element(all_322_5, all_45_6) = all_614_2 % 59.58/8.90 | | | | | | | | | | | | | (498) element(all_322_4, all_45_6) = all_614_1 % 59.58/8.90 | | | | | | | | | | | | | (499) empty(all_45_6) = all_614_4 % 59.58/8.90 | | | | | | | | | | | | | (500) empty(all_45_6) = all_614_3 % 59.58/8.90 | | | | | | | | | | | | | (501) ~ (all_614_1 = 0) | ~ (all_614_2 = 0) | % 59.58/8.90 | | | | | | | | | | | | | all_614_0 = all_45_2 | all_614_3 = 0 | all_614_4 = % 59.58/8.90 | | | | | | | | | | | | | 0 % 59.58/8.90 | | | | | | | | | | | | | % 59.58/8.90 | | | | | | | | | | | | | DELTA: instantiating (481) with fresh symbols all_620_0, % 59.58/8.90 | | | | | | | | | | | | | all_620_1, all_620_2, all_620_3, all_620_4, % 59.58/8.90 | | | | | | | | | | | | | all_620_5, all_620_6, all_620_7 gives: % 59.58/8.90 | | | | | | | | | | | | | (502) latt_str(all_37_0) = all_620_7 & % 59.58/8.90 | | | | | | | | | | | | | empty_carrier(all_37_0) = all_620_6 & % 59.58/8.90 | | | | | | | | | | | | | join_commutative(all_37_0) = all_620_5 & % 59.58/8.90 | | | | | | | | | | | | | join_associative(all_37_0) = all_620_4 & % 59.58/8.90 | | | | | | | | | | | | | meet_commutative(all_37_0) = all_620_3 & % 59.58/8.90 | | | | | | | | | | | | | meet_associative(all_37_0) = all_620_2 & % 59.58/8.90 | | | | | | | | | | | | | meet_absorbing(all_37_0) = all_620_1 & % 59.58/8.90 | | | | | | | | | | | | | join_absorbing(all_37_0) = all_620_0 & ( ~ % 59.58/8.90 | | | | | | | | | | | | | (all_620_7 = 0) | all_620_6 = 0 | (all_620_0 = 0 % 59.58/8.90 | | | | | | | | | | | | | & all_620_1 = 0 & all_620_2 = 0 & all_620_3 = % 59.58/8.90 | | | | | | | | | | | | | 0 & all_620_4 = 0 & all_620_5 = 0)) % 59.58/8.90 | | | | | | | | | | | | | % 59.58/8.90 | | | | | | | | | | | | | ALPHA: (502) implies: % 59.58/8.90 | | | | | | | | | | | | | (503) latt_str(all_37_0) = all_620_7 % 59.58/8.90 | | | | | | | | | | | | | % 59.58/8.90 | | | | | | | | | | | | | GROUND_INST: instantiating (80) with 0, all_612_2, all_37_0, % 59.58/8.90 | | | | | | | | | | | | | simplifying with (81), (494) gives: % 59.58/8.90 | | | | | | | | | | | | | (504) all_612_2 = 0 % 59.58/8.90 | | | | | | | | | | | | | % 59.58/8.90 | | | | | | | | | | | | | GROUND_INST: instantiating (80) with all_612_2, all_620_7, % 59.58/8.90 | | | | | | | | | | | | | all_37_0, simplifying with (494), (503) gives: % 59.58/8.90 | | | | | | | | | | | | | (505) all_620_7 = all_612_2 % 59.58/8.90 | | | | | | | | | | | | | % 59.58/8.90 | | | | | | | | | | | | | GROUND_INST: instantiating (80) with all_606_2, all_620_7, % 59.58/8.90 | | | | | | | | | | | | | all_37_0, simplifying with (492), (503) gives: % 59.58/8.90 | | | | | | | | | | | | | (506) all_620_7 = all_606_2 % 59.58/8.90 | | | | | | | | | | | | | % 59.58/8.90 | | | | | | | | | | | | | GROUND_INST: instantiating (38) with 0, all_614_2, all_45_6, % 59.58/8.90 | | | | | | | | | | | | | all_322_5, simplifying with (424), (497) gives: % 59.58/8.90 | | | | | | | | | | | | | (507) all_614_2 = 0 % 59.58/8.90 | | | | | | | | | | | | | % 59.58/8.90 | | | | | | | | | | | | | GROUND_INST: instantiating (38) with 0, all_614_1, all_45_6, % 59.58/8.90 | | | | | | | | | | | | | all_322_4, simplifying with (423), (498) gives: % 59.58/8.90 | | | | | | | | | | | | | (508) all_614_1 = 0 % 59.58/8.90 | | | | | | | | | | | | | % 59.58/8.90 | | | | | | | | | | | | | GROUND_INST: instantiating (52) with all_55_1, all_614_4, % 59.58/8.90 | | | | | | | | | | | | | all_45_6, simplifying with (2), (499) gives: % 59.58/8.90 | | | | | | | | | | | | | (509) all_614_4 = all_55_1 % 59.58/8.90 | | | | | | | | | | | | | % 59.58/8.90 | | | | | | | | | | | | | GROUND_INST: instantiating (52) with all_590_1, all_614_4, % 59.58/8.90 | | | | | | | | | | | | | all_45_6, simplifying with (490), (499) gives: % 59.58/8.90 | | | | | | | | | | | | | (510) all_614_4 = all_590_1 % 59.58/8.90 | | | | | | | | | | | | | % 59.58/8.90 | | | | | | | | | | | | | GROUND_INST: instantiating (52) with all_590_1, all_614_3, % 59.58/8.90 | | | | | | | | | | | | | all_45_6, simplifying with (490), (500) gives: % 59.58/8.90 | | | | | | | | | | | | | (511) all_614_3 = all_590_1 % 59.58/8.90 | | | | | | | | | | | | | % 59.58/8.90 | | | | | | | | | | | | | GROUND_INST: instantiating (52) with all_588_1, all_614_3, % 59.58/8.90 | | | | | | | | | | | | | all_45_6, simplifying with (488), (500) gives: % 59.58/8.90 | | | | | | | | | | | | | (512) all_614_3 = all_588_1 % 59.58/8.90 | | | | | | | | | | | | | % 59.58/8.90 | | | | | | | | | | | | | COMBINE_EQS: (505), (506) imply: % 59.58/8.90 | | | | | | | | | | | | | (513) all_612_2 = all_606_2 % 59.58/8.90 | | | | | | | | | | | | | % 59.58/8.90 | | | | | | | | | | | | | SIMP: (513) implies: % 59.58/8.90 | | | | | | | | | | | | | (514) all_612_2 = all_606_2 % 59.58/8.90 | | | | | | | | | | | | | % 59.58/8.90 | | | | | | | | | | | | | COMBINE_EQS: (511), (512) imply: % 59.58/8.90 | | | | | | | | | | | | | (515) all_590_1 = all_588_1 % 59.58/8.90 | | | | | | | | | | | | | % 59.58/8.90 | | | | | | | | | | | | | SIMP: (515) implies: % 59.58/8.90 | | | | | | | | | | | | | (516) all_590_1 = all_588_1 % 59.58/8.90 | | | | | | | | | | | | | % 59.58/8.90 | | | | | | | | | | | | | COMBINE_EQS: (509), (510) imply: % 59.58/8.90 | | | | | | | | | | | | | (517) all_590_1 = all_55_1 % 59.58/8.90 | | | | | | | | | | | | | % 59.58/8.90 | | | | | | | | | | | | | SIMP: (517) implies: % 59.58/8.90 | | | | | | | | | | | | | (518) all_590_1 = all_55_1 % 59.58/8.90 | | | | | | | | | | | | | % 59.58/8.90 | | | | | | | | | | | | | COMBINE_EQS: (504), (514) imply: % 59.58/8.90 | | | | | | | | | | | | | (519) all_606_2 = 0 % 59.58/8.90 | | | | | | | | | | | | | % 59.58/8.90 | | | | | | | | | | | | | SIMP: (519) implies: % 59.58/8.90 | | | | | | | | | | | | | (520) all_606_2 = 0 % 59.58/8.90 | | | | | | | | | | | | | % 59.58/8.90 | | | | | | | | | | | | | COMBINE_EQS: (516), (518) imply: % 59.58/8.90 | | | | | | | | | | | | | (521) all_588_1 = all_55_1 % 59.58/8.90 | | | | | | | | | | | | | % 59.58/8.90 | | | | | | | | | | | | | COMBINE_EQS: (512), (521) imply: % 59.58/8.90 | | | | | | | | | | | | | (522) all_614_3 = all_55_1 % 59.58/8.90 | | | | | | | | | | | | | % 59.58/8.90 | | | | | | | | | | | | | BETA: splitting (501) gives: % 59.58/8.90 | | | | | | | | | | | | | % 59.58/8.90 | | | | | | | | | | | | | Case 1: % 59.58/8.90 | | | | | | | | | | | | | | % 59.58/8.90 | | | | | | | | | | | | | | (523) ~ (all_614_1 = 0) % 59.58/8.90 | | | | | | | | | | | | | | % 59.58/8.90 | | | | | | | | | | | | | | REDUCE: (508), (523) imply: % 59.58/8.90 | | | | | | | | | | | | | | (524) $false % 59.58/8.90 | | | | | | | | | | | | | | % 59.58/8.90 | | | | | | | | | | | | | | CLOSE: (524) is inconsistent. % 59.58/8.90 | | | | | | | | | | | | | | % 59.58/8.90 | | | | | | | | | | | | | Case 2: % 59.58/8.90 | | | | | | | | | | | | | | % 59.58/8.90 | | | | | | | | | | | | | | (525) ~ (all_614_2 = 0) | all_614_0 = all_45_2 | % 59.58/8.90 | | | | | | | | | | | | | | all_614_3 = 0 | all_614_4 = 0 % 59.58/8.90 | | | | | | | | | | | | | | % 59.58/8.90 | | | | | | | | | | | | | | BETA: splitting (525) gives: % 59.58/8.90 | | | | | | | | | | | | | | % 59.58/8.90 | | | | | | | | | | | | | | Case 1: % 59.58/8.90 | | | | | | | | | | | | | | | % 59.58/8.90 | | | | | | | | | | | | | | | (526) ~ (all_614_2 = 0) % 59.58/8.90 | | | | | | | | | | | | | | | % 59.58/8.90 | | | | | | | | | | | | | | | REDUCE: (507), (526) imply: % 59.58/8.90 | | | | | | | | | | | | | | | (527) $false % 59.58/8.90 | | | | | | | | | | | | | | | % 59.58/8.90 | | | | | | | | | | | | | | | CLOSE: (527) is inconsistent. % 59.58/8.90 | | | | | | | | | | | | | | | % 59.58/8.90 | | | | | | | | | | | | | | Case 2: % 59.58/8.90 | | | | | | | | | | | | | | | % 59.58/8.90 | | | | | | | | | | | | | | | (528) all_614_0 = all_45_2 | all_614_3 = 0 | all_614_4 = % 59.58/8.90 | | | | | | | | | | | | | | | 0 % 59.58/8.90 | | | | | | | | | | | | | | | % 59.58/8.90 | | | | | | | | | | | | | | | BETA: splitting (528) gives: % 59.58/8.90 | | | | | | | | | | | | | | | % 59.58/8.90 | | | | | | | | | | | | | | | Case 1: % 59.58/8.90 | | | | | | | | | | | | | | | | % 59.58/8.90 | | | | | | | | | | | | | | | | (529) all_614_3 = 0 % 59.58/8.90 | | | | | | | | | | | | | | | | % 59.58/8.90 | | | | | | | | | | | | | | | | COMBINE_EQS: (522), (529) imply: % 59.58/8.90 | | | | | | | | | | | | | | | | (530) all_55_1 = 0 % 59.58/8.90 | | | | | | | | | | | | | | | | % 59.58/8.90 | | | | | | | | | | | | | | | | SIMP: (530) implies: % 59.58/8.90 | | | | | | | | | | | | | | | | (531) all_55_1 = 0 % 59.58/8.90 | | | | | | | | | | | | | | | | % 59.58/8.90 | | | | | | | | | | | | | | | | REDUCE: (109), (531) imply: % 59.58/8.90 | | | | | | | | | | | | | | | | (532) $false % 59.58/8.90 | | | | | | | | | | | | | | | | % 59.58/8.90 | | | | | | | | | | | | | | | | CLOSE: (532) is inconsistent. % 59.58/8.90 | | | | | | | | | | | | | | | | % 59.58/8.90 | | | | | | | | | | | | | | | Case 2: % 59.58/8.90 | | | | | | | | | | | | | | | | % 59.58/8.90 | | | | | | | | | | | | | | | | (533) ~ (all_614_3 = 0) % 59.58/8.90 | | | | | | | | | | | | | | | | (534) all_614_0 = all_45_2 | all_614_4 = 0 % 59.58/8.90 | | | | | | | | | | | | | | | | % 59.58/8.90 | | | | | | | | | | | | | | | | BETA: splitting (534) gives: % 59.58/8.90 | | | | | | | | | | | | | | | | % 59.58/8.90 | | | | | | | | | | | | | | | | Case 1: % 59.58/8.90 | | | | | | | | | | | | | | | | | % 59.58/8.90 | | | | | | | | | | | | | | | | | (535) all_614_4 = 0 % 59.58/8.90 | | | | | | | | | | | | | | | | | % 59.58/8.90 | | | | | | | | | | | | | | | | | COMBINE_EQS: (509), (535) imply: % 59.58/8.90 | | | | | | | | | | | | | | | | | (536) all_55_1 = 0 % 59.58/8.91 | | | | | | | | | | | | | | | | | % 59.58/8.91 | | | | | | | | | | | | | | | | | SIMP: (536) implies: % 59.58/8.91 | | | | | | | | | | | | | | | | | (537) all_55_1 = 0 % 59.58/8.91 | | | | | | | | | | | | | | | | | % 59.58/8.91 | | | | | | | | | | | | | | | | | REDUCE: (109), (537) imply: % 59.58/8.91 | | | | | | | | | | | | | | | | | (538) $false % 59.58/8.91 | | | | | | | | | | | | | | | | | % 59.58/8.91 | | | | | | | | | | | | | | | | | CLOSE: (538) is inconsistent. % 59.58/8.91 | | | | | | | | | | | | | | | | | % 59.58/8.91 | | | | | | | | | | | | | | | | Case 2: % 59.58/8.91 | | | | | | | | | | | | | | | | | % 59.58/8.91 | | | | | | | | | | | | | | | | | (539) all_614_0 = all_45_2 % 59.58/8.91 | | | | | | | | | | | | | | | | | % 59.58/8.91 | | | | | | | | | | | | | | | | | REDUCE: (496), (539) imply: % 59.58/8.91 | | | | | | | | | | | | | | | | | (540) ordered_pair(all_322_5, all_322_4) = all_45_2 % 59.58/8.91 | | | | | | | | | | | | | | | | | % 59.58/8.91 | | | | | | | | | | | | | | | | | BETA: splitting (23) gives: % 59.58/8.91 | | | | | | | | | | | | | | | | | % 59.58/8.91 | | | | | | | | | | | | | | | | | Case 1: % 59.58/8.91 | | | | | | | | | | | | | | | | | | % 59.58/8.91 | | | | | | | | | | | | | | | | | | % 59.58/8.91 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (30) with all_45_4, all_45_3, % 59.58/8.91 | | | | | | | | | | | | | | | | | | all_322_5, all_322_4, all_45_2, simplifying with % 59.58/8.91 | | | | | | | | | | | | | | | | | | (22), (53), (69), (102), (128), (540) gives: % 59.58/8.91 | | | | | | | | | | | | | | | | | | (541) all_322_4 = all_45_3 % 59.58/8.91 | | | | | | | | | | | | | | | | | | % 59.58/8.91 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (19) with all_45_4, all_45_3, % 59.58/8.91 | | | | | | | | | | | | | | | | | | all_322_5, all_322_4, all_45_2, simplifying with % 59.58/8.91 | | | | | | | | | | | | | | | | | | (22), (53), (69), (102), (128), (540) gives: % 59.58/8.91 | | | | | | | | | | | | | | | | | | (542) all_322_5 = all_45_4 % 59.58/8.91 | | | | | | | | | | | | | | | | | | % 59.58/8.91 | | | | | | | | | | | | | | | | | | REDUCE: (421), (541), (542) imply: % 59.58/8.91 | | | | | | | | | | | | | | | | | | (543) below_refl(all_45_8, all_45_4, all_45_3) = 0 % 59.58/8.91 | | | | | | | | | | | | | | | | | | % 59.58/8.91 | | | | | | | | | | | | | | | | | | REF_CLOSE: (1), (25), (403), (543) are inconsistent by % 59.58/8.91 | | | | | | | | | | | | | | | | | | sub-proof #2. % 59.58/8.91 | | | | | | | | | | | | | | | | | | % 59.58/8.91 | | | | | | | | | | | | | | | | | Case 2: % 59.58/8.91 | | | | | | | | | | | | | | | | | | % 59.58/8.91 | | | | | | | | | | | | | | | | | | (544) ~ (all_75_3 = 0) % 59.58/8.91 | | | | | | | | | | | | | | | | | | (545) ? [v0: any] : ? [v1: any] : ? [v2: $i] : ? % 59.58/8.91 | | | | | | | | | | | | | | | | | | [v3: $i] : (a_1_0_filter_1(all_37_0) = v3 & % 59.58/8.91 | | | | | | | | | | | | | | | | | | relation_of_lattice(all_37_0) = v2 & % 59.58/8.91 | | | | | | | | | | | | | | | | | | lattice(all_37_0) = v0 & latt_str(all_37_0) = v1 % 59.58/8.91 | | | | | | | | | | | | | | | | | | & $i(v3) & $i(v2) & ( ~ (v1 = 0) | ~ (v0 = 0) | % 59.58/8.91 | | | | | | | | | | | | | | | | | | v3 = v2)) % 59.58/8.91 | | | | | | | | | | | | | | | | | | % 59.58/8.91 | | | | | | | | | | | | | | | | | | DELTA: instantiating (545) with fresh symbols all_784_0, % 59.58/8.91 | | | | | | | | | | | | | | | | | | all_784_1, all_784_2, all_784_3 gives: % 59.58/8.91 | | | | | | | | | | | | | | | | | | (546) a_1_0_filter_1(all_37_0) = all_784_0 & % 59.58/8.91 | | | | | | | | | | | | | | | | | | relation_of_lattice(all_37_0) = all_784_1 & % 59.58/8.91 | | | | | | | | | | | | | | | | | | lattice(all_37_0) = all_784_3 & latt_str(all_37_0) % 59.58/8.91 | | | | | | | | | | | | | | | | | | = all_784_2 & $i(all_784_0) & $i(all_784_1) & ( ~ % 59.58/8.91 | | | | | | | | | | | | | | | | | | (all_784_2 = 0) | ~ (all_784_3 = 0) | all_784_0 % 59.58/8.91 | | | | | | | | | | | | | | | | | | = all_784_1) % 59.58/8.91 | | | | | | | | | | | | | | | | | | % 59.58/8.91 | | | | | | | | | | | | | | | | | | ALPHA: (546) implies: % 59.58/8.91 | | | | | | | | | | | | | | | | | | (547) lattice(all_37_0) = all_784_3 % 59.58/8.91 | | | | | | | | | | | | | | | | | | % 59.58/8.91 | | | | | | | | | | | | | | | | | | BETA: splitting (21) gives: % 59.58/8.91 | | | | | | | | | | | | | | | | | | % 59.58/8.91 | | | | | | | | | | | | | | | | | | Case 1: % 59.58/8.91 | | | | | | | | | | | | | | | | | | | % 59.58/8.91 | | | | | | | | | | | | | | | | | | | (548) all_75_3 = 0 % 59.58/8.91 | | | | | | | | | | | | | | | | | | | % 59.58/8.91 | | | | | | | | | | | | | | | | | | | REDUCE: (544), (548) imply: % 59.58/8.91 | | | | | | | | | | | | | | | | | | | (549) $false % 59.58/8.91 | | | | | | | | | | | | | | | | | | | % 59.58/8.91 | | | | | | | | | | | | | | | | | | | CLOSE: (549) is inconsistent. % 59.58/8.91 | | | | | | | | | | | | | | | | | | | % 59.58/8.91 | | | | | | | | | | | | | | | | | | Case 2: % 59.58/8.91 | | | | | | | | | | | | | | | | | | | % 59.58/8.91 | | | | | | | | | | | | | | | | | | | (550) ? [v0: any] : ? [v1: any] : ? [v2: $i] : ? % 59.58/8.91 | | | | | | | | | | | | | | | | | | | [v3: any] : (relation(v2) = v3 & % 59.58/8.91 | | | | | | | | | | | | | | | | | | | relation_of_lattice(all_37_0) = v2 & % 59.58/8.91 | | | | | | | | | | | | | | | | | | | lattice(all_37_0) = v0 & latt_str(all_37_0) = v1 % 59.58/8.91 | | | | | | | | | | | | | | | | | | | & $i(v2) & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = 0)) % 59.58/8.91 | | | | | | | | | | | | | | | | | | | % 59.58/8.91 | | | | | | | | | | | | | | | | | | | DELTA: instantiating (550) with fresh symbols all_796_0, % 59.58/8.91 | | | | | | | | | | | | | | | | | | | all_796_1, all_796_2, all_796_3 gives: % 59.58/8.91 | | | | | | | | | | | | | | | | | | | (551) relation(all_796_1) = all_796_0 & % 59.58/8.91 | | | | | | | | | | | | | | | | | | | relation_of_lattice(all_37_0) = all_796_1 & % 59.58/8.91 | | | | | | | | | | | | | | | | | | | lattice(all_37_0) = all_796_3 & latt_str(all_37_0) % 59.58/8.91 | | | | | | | | | | | | | | | | | | | = all_796_2 & $i(all_796_1) & ( ~ (all_796_2 = 0) % 59.58/8.91 | | | | | | | | | | | | | | | | | | | | ~ (all_796_3 = 0) | all_796_0 = 0) % 59.58/8.91 | | | | | | | | | | | | | | | | | | | % 59.58/8.91 | | | | | | | | | | | | | | | | | | | ALPHA: (551) implies: % 59.58/8.91 | | | | | | | | | | | | | | | | | | | (552) latt_str(all_37_0) = all_796_2 % 59.58/8.91 | | | | | | | | | | | | | | | | | | | (553) lattice(all_37_0) = all_796_3 % 59.58/8.91 | | | | | | | | | | | | | | | | | | | (554) ~ (all_796_2 = 0) | ~ (all_796_3 = 0) | % 59.58/8.91 | | | | | | | | | | | | | | | | | | | all_796_0 = 0 % 59.58/8.91 | | | | | | | | | | | | | | | | | | | % 59.58/8.91 | | | | | | | | | | | | | | | | | | | BETA: splitting (24) gives: % 59.58/8.91 | | | | | | | | | | | | | | | | | | | % 59.58/8.91 | | | | | | | | | | | | | | | | | | | Case 1: % 59.58/8.91 | | | | | | | | | | | | | | | | | | | | % 59.58/8.91 | | | | | | | | | | | | | | | | | | | | (555) all_75_3 = 0 % 59.58/8.91 | | | | | | | | | | | | | | | | | | | | % 59.58/8.91 | | | | | | | | | | | | | | | | | | | | REDUCE: (544), (555) imply: % 59.58/8.91 | | | | | | | | | | | | | | | | | | | | (556) $false % 59.58/8.91 | | | | | | | | | | | | | | | | | | | | % 59.58/8.91 | | | | | | | | | | | | | | | | | | | | CLOSE: (556) is inconsistent. % 59.58/8.91 | | | | | | | | | | | | | | | | | | | | % 59.58/8.91 | | | | | | | | | | | | | | | | | | | Case 2: % 59.58/8.91 | | | | | | | | | | | | | | | | | | | | % 59.58/8.91 | | | | | | | | | | | | | | | | | | | | (557) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? % 59.58/8.91 | | | | | | | | | | | | | | | | | | | | [v3: any] : ? [v4: any] : ? [v5: any] : ? [v6: % 59.58/8.91 | | | | | | | | | | | | | | | | | | | | any] : ? [v7: any] : (lattice(all_37_0) = v1 & % 59.58/8.91 | | | | | | | | | | | | | | | | | | | | latt_str(all_37_0) = v0 & % 59.58/8.91 | | | | | | | | | | | | | | | | | | | | join_commutative(all_37_0) = v2 & % 59.58/8.91 | | | | | | | | | | | | | | | | | | | | join_associative(all_37_0) = v3 & % 59.58/8.91 | | | | | | | | | | | | | | | | | | | | meet_commutative(all_37_0) = v4 & % 59.58/8.91 | | | | | | | | | | | | | | | | | | | | meet_associative(all_37_0) = v5 & % 59.58/8.91 | | | | | | | | | | | | | | | | | | | | meet_absorbing(all_37_0) = v6 & % 59.58/8.91 | | | | | | | | | | | | | | | | | | | | join_absorbing(all_37_0) = v7 & ( ~ (v1 = 0) | % 59.58/8.91 | | | | | | | | | | | | | | | | | | | | ~ (v0 = 0) | (v7 = 0 & v6 = 0 & v5 = 0 & v4 = % 59.58/8.91 | | | | | | | | | | | | | | | | | | | | 0 & v3 = 0 & v2 = 0))) % 59.58/8.91 | | | | | | | | | | | | | | | | | | | | % 59.58/8.91 | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (557) with fresh symbols all_802_0, % 59.58/8.91 | | | | | | | | | | | | | | | | | | | | all_802_1, all_802_2, all_802_3, all_802_4, % 59.58/8.91 | | | | | | | | | | | | | | | | | | | | all_802_5, all_802_6, all_802_7 gives: % 59.58/8.91 | | | | | | | | | | | | | | | | | | | | (558) lattice(all_37_0) = all_802_6 & latt_str(all_37_0) % 59.58/8.91 | | | | | | | | | | | | | | | | | | | | = all_802_7 & join_commutative(all_37_0) = % 59.58/8.91 | | | | | | | | | | | | | | | | | | | | all_802_5 & join_associative(all_37_0) = all_802_4 % 59.58/8.91 | | | | | | | | | | | | | | | | | | | | & meet_commutative(all_37_0) = all_802_3 & % 59.58/8.91 | | | | | | | | | | | | | | | | | | | | meet_associative(all_37_0) = all_802_2 & % 59.58/8.91 | | | | | | | | | | | | | | | | | | | | meet_absorbing(all_37_0) = all_802_1 & % 59.58/8.91 | | | | | | | | | | | | | | | | | | | | join_absorbing(all_37_0) = all_802_0 & ( ~ % 59.58/8.91 | | | | | | | | | | | | | | | | | | | | (all_802_6 = 0) | ~ (all_802_7 = 0) | % 59.58/8.91 | | | | | | | | | | | | | | | | | | | | (all_802_0 = 0 & all_802_1 = 0 & all_802_2 = 0 & % 59.58/8.91 | | | | | | | | | | | | | | | | | | | | all_802_3 = 0 & all_802_4 = 0 & all_802_5 = % 59.58/8.91 | | | | | | | | | | | | | | | | | | | | 0)) % 59.58/8.91 | | | | | | | | | | | | | | | | | | | | % 59.58/8.91 | | | | | | | | | | | | | | | | | | | | ALPHA: (558) implies: % 59.58/8.91 | | | | | | | | | | | | | | | | | | | | (559) latt_str(all_37_0) = all_802_7 % 59.58/8.91 | | | | | | | | | | | | | | | | | | | | (560) lattice(all_37_0) = all_802_6 % 59.58/8.91 | | | | | | | | | | | | | | | | | | | | % 59.58/8.91 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (80) with 0, all_802_7, all_37_0, % 59.58/8.91 | | | | | | | | | | | | | | | | | | | | simplifying with (81), (559) gives: % 59.58/8.91 | | | | | | | | | | | | | | | | | | | | (561) all_802_7 = 0 % 59.58/8.91 | | | | | | | | | | | | | | | | | | | | % 59.58/8.91 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (80) with all_796_2, all_802_7, % 59.58/8.91 | | | | | | | | | | | | | | | | | | | | all_37_0, simplifying with (552), (559) gives: % 59.58/8.91 | | | | | | | | | | | | | | | | | | | | (562) all_802_7 = all_796_2 % 59.58/8.91 | | | | | | | | | | | | | | | | | | | | % 59.58/8.91 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (73) with all_784_3, all_796_3, % 59.58/8.91 | | | | | | | | | | | | | | | | | | | | all_37_0, simplifying with (547), (553) gives: % 59.58/8.91 | | | | | | | | | | | | | | | | | | | | (563) all_796_3 = all_784_3 % 59.58/8.91 | | | | | | | | | | | | | | | | | | | | % 59.58/8.91 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (73) with 0, all_802_6, all_37_0, % 59.58/8.91 | | | | | | | | | | | | | | | | | | | | simplifying with (480), (560) gives: % 59.58/8.91 | | | | | | | | | | | | | | | | | | | | (564) all_802_6 = 0 % 59.58/8.91 | | | | | | | | | | | | | | | | | | | | % 59.58/8.91 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (73) with all_796_3, all_802_6, % 59.58/8.91 | | | | | | | | | | | | | | | | | | | | all_37_0, simplifying with (553), (560) gives: % 59.58/8.91 | | | | | | | | | | | | | | | | | | | | (565) all_802_6 = all_796_3 % 59.58/8.91 | | | | | | | | | | | | | | | | | | | | % 59.58/8.91 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (564), (565) imply: % 59.58/8.91 | | | | | | | | | | | | | | | | | | | | (566) all_796_3 = 0 % 59.58/8.91 | | | | | | | | | | | | | | | | | | | | % 59.58/8.91 | | | | | | | | | | | | | | | | | | | | SIMP: (566) implies: % 59.58/8.91 | | | | | | | | | | | | | | | | | | | | (567) all_796_3 = 0 % 59.58/8.91 | | | | | | | | | | | | | | | | | | | | % 59.58/8.91 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (561), (562) imply: % 59.58/8.91 | | | | | | | | | | | | | | | | | | | | (568) all_796_2 = 0 % 59.58/8.91 | | | | | | | | | | | | | | | | | | | | % 59.58/8.91 | | | | | | | | | | | | | | | | | | | | SIMP: (568) implies: % 59.58/8.91 | | | | | | | | | | | | | | | | | | | | (569) all_796_2 = 0 % 59.58/8.91 | | | | | | | | | | | | | | | | | | | | % 59.58/8.91 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (563), (567) imply: % 59.58/8.91 | | | | | | | | | | | | | | | | | | | | (570) all_784_3 = 0 % 59.58/8.91 | | | | | | | | | | | | | | | | | | | | % 59.58/8.91 | | | | | | | | | | | | | | | | | | | | BETA: splitting (554) gives: % 59.58/8.91 | | | | | | | | | | | | | | | | | | | | % 59.58/8.91 | | | | | | | | | | | | | | | | | | | | Case 1: % 59.58/8.91 | | | | | | | | | | | | | | | | | | | | | % 59.58/8.91 | | | | | | | | | | | | | | | | | | | | | (571) ~ (all_796_2 = 0) % 59.58/8.91 | | | | | | | | | | | | | | | | | | | | | % 59.58/8.91 | | | | | | | | | | | | | | | | | | | | | REDUCE: (569), (571) imply: % 59.58/8.91 | | | | | | | | | | | | | | | | | | | | | (572) $false % 59.58/8.91 | | | | | | | | | | | | | | | | | | | | | % 59.58/8.91 | | | | | | | | | | | | | | | | | | | | | CLOSE: (572) is inconsistent. % 59.58/8.91 | | | | | | | | | | | | | | | | | | | | | % 59.58/8.91 | | | | | | | | | | | | | | | | | | | | Case 2: % 59.58/8.91 | | | | | | | | | | | | | | | | | | | | | % 59.58/8.91 | | | | | | | | | | | | | | | | | | | | | (573) ~ (all_796_3 = 0) | all_796_0 = 0 % 59.58/8.91 | | | | | | | | | | | | | | | | | | | | | % 59.58/8.91 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (573) gives: % 59.58/8.91 | | | | | | | | | | | | | | | | | | | | | % 59.58/8.91 | | | | | | | | | | | | | | | | | | | | | Case 1: % 59.58/8.91 | | | | | | | | | | | | | | | | | | | | | | % 59.58/8.91 | | | | | | | | | | | | | | | | | | | | | | (574) ~ (all_796_3 = 0) % 59.58/8.91 | | | | | | | | | | | | | | | | | | | | | | % 59.58/8.91 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (567), (574) imply: % 59.58/8.91 | | | | | | | | | | | | | | | | | | | | | | (575) $false % 59.58/8.91 | | | | | | | | | | | | | | | | | | | | | | % 59.58/8.91 | | | | | | | | | | | | | | | | | | | | | | CLOSE: (575) is inconsistent. % 59.58/8.91 | | | | | | | | | | | | | | | | | | | | | | % 59.58/8.91 | | | | | | | | | | | | | | | | | | | | | Case 2: % 59.58/8.91 | | | | | | | | | | | | | | | | | | | | | | % 59.58/8.91 | | | | | | | | | | | | | | | | | | | | | | % 59.58/8.91 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (30) with all_45_4, all_45_3, % 59.58/8.91 | | | | | | | | | | | | | | | | | | | | | | all_322_5, all_322_4, all_45_2, simplifying with % 59.58/8.91 | | | | | | | | | | | | | | | | | | | | | | (22), (53), (69), (102), (128), (540) gives: % 59.58/8.91 | | | | | | | | | | | | | | | | | | | | | | (576) all_322_4 = all_45_3 % 59.58/8.91 | | | | | | | | | | | | | | | | | | | | | | % 59.58/8.91 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (19) with all_45_4, all_45_3, % 59.58/8.91 | | | | | | | | | | | | | | | | | | | | | | all_322_5, all_322_4, all_45_2, simplifying with % 59.58/8.91 | | | | | | | | | | | | | | | | | | | | | | (22), (53), (69), (102), (128), (540) gives: % 59.58/8.91 | | | | | | | | | | | | | | | | | | | | | | (577) all_322_5 = all_45_4 % 59.58/8.91 | | | | | | | | | | | | | | | | | | | | | | % 59.58/8.91 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (421), (576), (577) imply: % 59.58/8.91 | | | | | | | | | | | | | | | | | | | | | | (578) below_refl(all_45_8, all_45_4, all_45_3) = 0 % 59.58/8.91 | | | | | | | | | | | | | | | | | | | | | | % 59.58/8.91 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (1), (25), (403), (578) are inconsistent by % 59.58/8.91 | | | | | | | | | | | | | | | | | | | | | | sub-proof #2. % 59.58/8.91 | | | | | | | | | | | | | | | | | | | | | | % 59.58/8.91 | | | | | | | | | | | | | | | | | | | | | End of split % 59.58/8.91 | | | | | | | | | | | | | | | | | | | | | % 59.58/8.91 | | | | | | | | | | | | | | | | | | | | End of split % 59.58/8.91 | | | | | | | | | | | | | | | | | | | | % 59.58/8.91 | | | | | | | | | | | | | | | | | | | End of split % 59.58/8.91 | | | | | | | | | | | | | | | | | | | % 59.58/8.91 | | | | | | | | | | | | | | | | | | End of split % 59.58/8.91 | | | | | | | | | | | | | | | | | | % 59.58/8.91 | | | | | | | | | | | | | | | | | End of split % 59.58/8.91 | | | | | | | | | | | | | | | | | % 59.58/8.91 | | | | | | | | | | | | | | | | End of split % 59.58/8.91 | | | | | | | | | | | | | | | | % 59.58/8.91 | | | | | | | | | | | | | | | End of split % 59.58/8.91 | | | | | | | | | | | | | | | % 59.58/8.91 | | | | | | | | | | | | | | End of split % 59.58/8.91 | | | | | | | | | | | | | | % 59.58/8.91 | | | | | | | | | | | | | End of split % 59.58/8.91 | | | | | | | | | | | | | % 59.58/8.91 | | | | | | | | | | | | Case 2: % 59.58/8.91 | | | | | | | | | | | | | % 59.58/8.91 | | | | | | | | | | | | | (579) all_125_2 = 0 % 59.58/8.91 | | | | | | | | | | | | | % 59.58/8.91 | | | | | | | | | | | | | COMBINE_EQS: (54), (579) imply: % 59.58/8.91 | | | | | | | | | | | | | (580) all_130_2 = 0 % 59.58/8.91 | | | | | | | | | | | | | % 59.58/8.91 | | | | | | | | | | | | | BETA: splitting (82) gives: % 59.58/8.91 | | | | | | | | | | | | | % 59.58/8.91 | | | | | | | | | | | | | Case 1: % 59.58/8.91 | | | | | | | | | | | | | | % 59.58/8.91 | | | | | | | | | | | | | | (581) ~ (all_130_2 = 0) % 59.58/8.91 | | | | | | | | | | | | | | % 59.58/8.91 | | | | | | | | | | | | | | REDUCE: (580), (581) imply: % 59.58/8.91 | | | | | | | | | | | | | | (582) $false % 59.58/8.91 | | | | | | | | | | | | | | % 59.58/8.91 | | | | | | | | | | | | | | CLOSE: (582) is inconsistent. % 59.58/8.91 | | | | | | | | | | | | | | % 59.58/8.91 | | | | | | | | | | | | | Case 2: % 59.58/8.91 | | | | | | | | | | | | | | % 59.58/8.91 | | | | | | | | | | | | | | % 59.58/8.91 | | | | | | | | | | | | | | GROUND_INST: instantiating (48) with all_37_0, simplifying with % 59.58/8.91 | | | | | | | | | | | | | | (15), (480) gives: % 59.58/8.91 | | | | | | | | | | | | | | (583) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? % 59.58/8.91 | | | | | | | | | | | | | | [v3: any] : ? [v4: any] : ? [v5: any] : ? [v6: % 59.58/8.91 | | | | | | | | | | | | | | any] : ? [v7: any] : (latt_str(all_37_0) = v0 & % 59.58/8.91 | | | | | | | | | | | | | | empty_carrier(all_37_0) = v1 & % 59.58/8.91 | | | | | | | | | | | | | | join_commutative(all_37_0) = v2 & % 59.58/8.91 | | | | | | | | | | | | | | join_associative(all_37_0) = v3 & % 59.58/8.91 | | | | | | | | | | | | | | meet_commutative(all_37_0) = v4 & % 59.58/8.91 | | | | | | | | | | | | | | meet_associative(all_37_0) = v5 & % 59.58/8.91 | | | | | | | | | | | | | | meet_absorbing(all_37_0) = v6 & % 59.58/8.91 | | | | | | | | | | | | | | join_absorbing(all_37_0) = v7 & ( ~ (v0 = 0) | % 59.58/8.91 | | | | | | | | | | | | | | v1 = 0 | (v7 = 0 & v6 = 0 & v5 = 0 & v4 = 0 & % 59.58/8.91 | | | | | | | | | | | | | | v3 = 0 & v2 = 0))) % 59.58/8.91 | | | | | | | | | | | | | | % 59.58/8.91 | | | | | | | | | | | | | | GROUND_INST: instantiating (99) with all_37_0, simplifying with % 59.58/8.91 | | | | | | | | | | | | | | (15), (480) gives: % 59.58/8.91 | | | | | | | | | | | | | | (584) ? [v0: any] : ? [v1: any] : ? [v2: $i] : ? % 59.58/8.91 | | | | | | | | | | | | | | [v3: any] : (relation(v2) = v3 & % 59.58/8.91 | | | | | | | | | | | | | | relation_of_lattice(all_37_0) = v2 & % 59.58/8.91 | | | | | | | | | | | | | | latt_str(all_37_0) = v1 & % 59.58/8.91 | | | | | | | | | | | | | | empty_carrier(all_37_0) = v0 & $i(v2) & ( ~ (v1 % 59.58/8.91 | | | | | | | | | | | | | | = 0) | v3 = 0 | v0 = 0)) % 59.58/8.91 | | | | | | | | | | | | | | % 59.58/8.91 | | | | | | | | | | | | | | GROUND_INST: instantiating (56) with all_37_0, simplifying with % 59.58/8.91 | | | | | | | | | | | | | | (15), (480) gives: % 59.58/8.91 | | | | | | | | | | | | | | (585) ? [v0: any] : ? [v1: any] : ? [v2: $i] : ? % 59.58/8.91 | | | | | | | | | | | | | | [v3: $i] : (a_1_0_filter_1(all_37_0) = v3 & % 59.58/8.91 | | | | | | | | | | | | | | relation_of_lattice(all_37_0) = v2 & % 59.58/8.91 | | | | | | | | | | | | | | latt_str(all_37_0) = v1 & % 59.58/8.91 | | | | | | | | | | | | | | empty_carrier(all_37_0) = v0 & $i(v3) & $i(v2) & % 59.58/8.91 | | | | | | | | | | | | | | ( ~ (v1 = 0) | v3 = v2 | v0 = 0)) % 59.58/8.91 | | | | | | | | | | | | | | % 59.58/8.91 | | | | | | | | | | | | | | GROUND_INST: instantiating (57) with all_322_5, all_45_6, % 59.58/8.91 | | | | | | | | | | | | | | simplifying with (69), (250), (424) gives: % 59.58/8.91 | | | | | | | | | | | | | | (586) ? [v0: any] : ? [v1: any] : (empty(all_45_6) = % 59.58/8.91 | | | | | | | | | | | | | | v0 & in(all_322_5, all_45_6) = v1 & (v1 = 0 | v0 % 59.58/8.91 | | | | | | | | | | | | | | = 0)) % 59.58/8.91 | | | | | | | | | | | | | | % 59.58/8.91 | | | | | | | | | | | | | | GROUND_INST: instantiating (71) with all_45_6, all_45_6, % 59.58/8.91 | | | | | | | | | | | | | | all_322_5, all_322_4, all_45_2, simplifying with % 59.58/8.91 | | | | | | | | | | | | | | (69), (102), (250), (422) gives: % 59.58/8.91 | | | | | | | | | | | | | | (587) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? % 59.58/8.91 | | | | | | | | | | | | | | [v3: any] : ? [v4: $i] : (empty(all_45_6) = v1 & % 59.58/8.91 | | | | | | | | | | | | | | empty(all_45_6) = v0 & element(all_322_4, % 59.58/8.91 | | | | | | | | | | | | | | all_45_6) = v3 & element(all_322_5, all_45_6) % 59.58/8.91 | | | | | | | | | | | | | | = v2 & ordered_pair(all_322_5, all_322_4) = v4 & % 59.58/8.91 | | | | | | | | | | | | | | $i(v4) & ( ~ (v3 = 0) | ~ (v2 = 0) | v4 = % 59.58/8.91 | | | | | | | | | | | | | | all_45_2 | v1 = 0 | v0 = 0)) % 59.58/8.91 | | | | | | | | | | | | | | % 59.58/8.91 | | | | | | | | | | | | | | GROUND_INST: instantiating (65) with all_37_0, simplifying with % 59.58/8.91 | | | | | | | | | | | | | | (15), (86) gives: % 59.58/8.91 | | | | | | | | | | | | | | (588) ? [v0: any] : ? [v1: $i] : ? [v2: any] : % 59.58/8.91 | | | | | | | | | | | | | | (the_carrier(all_37_0) = v1 & empty(v1) = v2 & % 59.58/8.91 | | | | | | | | | | | | | | empty_carrier(all_37_0) = v0 & $i(v1) & ( ~ (v2 % 59.58/8.91 | | | | | | | | | | | | | | = 0) | v0 = 0)) % 59.58/8.91 | | | | | | | | | | | | | | % 59.58/8.91 | | | | | | | | | | | | | | DELTA: instantiating (586) with fresh symbols all_602_0, % 59.58/8.91 | | | | | | | | | | | | | | all_602_1 gives: % 59.58/8.91 | | | | | | | | | | | | | | (589) empty(all_45_6) = all_602_1 & in(all_322_5, % 59.58/8.91 | | | | | | | | | | | | | | all_45_6) = all_602_0 & (all_602_0 = 0 | % 59.58/8.91 | | | | | | | | | | | | | | all_602_1 = 0) % 59.58/8.91 | | | | | | | | | | | | | | % 59.58/8.91 | | | | | | | | | | | | | | ALPHA: (589) implies: % 59.58/8.91 | | | | | | | | | | | | | | (590) empty(all_45_6) = all_602_1 % 59.58/8.91 | | | | | | | | | | | | | | % 59.58/8.91 | | | | | | | | | | | | | | DELTA: instantiating (588) with fresh symbols all_612_0, % 59.58/8.91 | | | | | | | | | | | | | | all_612_1, all_612_2 gives: % 59.58/8.91 | | | | | | | | | | | | | | (591) the_carrier(all_37_0) = all_612_1 & % 59.58/8.91 | | | | | | | | | | | | | | empty(all_612_1) = all_612_0 & % 59.58/8.91 | | | | | | | | | | | | | | empty_carrier(all_37_0) = all_612_2 & % 59.58/8.91 | | | | | | | | | | | | | | $i(all_612_1) & ( ~ (all_612_0 = 0) | all_612_2 = % 59.58/8.91 | | | | | | | | | | | | | | 0) % 59.58/8.91 | | | | | | | | | | | | | | % 59.58/8.91 | | | | | | | | | | | | | | ALPHA: (591) implies: % 59.58/8.91 | | | | | | | | | | | | | | (592) empty_carrier(all_37_0) = all_612_2 % 59.58/8.91 | | | | | | | | | | | | | | (593) ~ (all_612_0 = 0) | all_612_2 = 0 % 59.58/8.91 | | | | | | | | | | | | | | % 59.58/8.91 | | | | | | | | | | | | | | DELTA: instantiating (584) with fresh symbols all_614_0, % 59.58/8.91 | | | | | | | | | | | | | | all_614_1, all_614_2, all_614_3 gives: % 59.58/8.91 | | | | | | | | | | | | | | (594) relation(all_614_1) = all_614_0 & % 59.58/8.91 | | | | | | | | | | | | | | relation_of_lattice(all_37_0) = all_614_1 & % 59.58/8.91 | | | | | | | | | | | | | | latt_str(all_37_0) = all_614_2 & % 59.58/8.91 | | | | | | | | | | | | | | empty_carrier(all_37_0) = all_614_3 & % 59.58/8.91 | | | | | | | | | | | | | | $i(all_614_1) & ( ~ (all_614_2 = 0) | all_614_0 = % 59.58/8.91 | | | | | | | | | | | | | | 0 | all_614_3 = 0) % 59.58/8.91 | | | | | | | | | | | | | | % 59.58/8.91 | | | | | | | | | | | | | | ALPHA: (594) implies: % 59.58/8.91 | | | | | | | | | | | | | | (595) empty_carrier(all_37_0) = all_614_3 % 59.58/8.91 | | | | | | | | | | | | | | % 59.58/8.91 | | | | | | | | | | | | | | DELTA: instantiating (585) with fresh symbols all_622_0, % 59.58/8.91 | | | | | | | | | | | | | | all_622_1, all_622_2, all_622_3 gives: % 59.58/8.91 | | | | | | | | | | | | | | (596) a_1_0_filter_1(all_37_0) = all_622_0 & % 59.58/8.91 | | | | | | | | | | | | | | relation_of_lattice(all_37_0) = all_622_1 & % 59.58/8.91 | | | | | | | | | | | | | | latt_str(all_37_0) = all_622_2 & % 59.58/8.91 | | | | | | | | | | | | | | empty_carrier(all_37_0) = all_622_3 & % 59.58/8.91 | | | | | | | | | | | | | | $i(all_622_0) & $i(all_622_1) & ( ~ (all_622_2 = % 59.58/8.91 | | | | | | | | | | | | | | 0) | all_622_0 = all_622_1 | all_622_3 = 0) % 59.58/8.91 | | | | | | | | | | | | | | % 59.58/8.91 | | | | | | | | | | | | | | ALPHA: (596) implies: % 59.58/8.91 | | | | | | | | | | | | | | (597) empty_carrier(all_37_0) = all_622_3 % 59.58/8.91 | | | | | | | | | | | | | | % 59.58/8.91 | | | | | | | | | | | | | | DELTA: instantiating (587) with fresh symbols all_628_0, % 59.58/8.91 | | | | | | | | | | | | | | all_628_1, all_628_2, all_628_3, all_628_4 gives: % 59.58/8.91 | | | | | | | | | | | | | | (598) empty(all_45_6) = all_628_3 & empty(all_45_6) = % 59.58/8.91 | | | | | | | | | | | | | | all_628_4 & element(all_322_4, all_45_6) = % 59.58/8.91 | | | | | | | | | | | | | | all_628_1 & element(all_322_5, all_45_6) = % 59.58/8.91 | | | | | | | | | | | | | | all_628_2 & ordered_pair(all_322_5, all_322_4) = % 59.58/8.91 | | | | | | | | | | | | | | all_628_0 & $i(all_628_0) & ( ~ (all_628_1 = 0) | % 59.58/8.91 | | | | | | | | | | | | | | ~ (all_628_2 = 0) | all_628_0 = all_45_2 | % 59.58/8.91 | | | | | | | | | | | | | | all_628_3 = 0 | all_628_4 = 0) % 59.58/8.91 | | | | | | | | | | | | | | % 59.58/8.91 | | | | | | | | | | | | | | ALPHA: (598) implies: % 59.58/8.91 | | | | | | | | | | | | | | (599) ordered_pair(all_322_5, all_322_4) = all_628_0 % 59.58/8.91 | | | | | | | | | | | | | | (600) element(all_322_5, all_45_6) = all_628_2 % 59.58/8.91 | | | | | | | | | | | | | | (601) element(all_322_4, all_45_6) = all_628_1 % 59.58/8.91 | | | | | | | | | | | | | | (602) empty(all_45_6) = all_628_4 % 59.58/8.91 | | | | | | | | | | | | | | (603) empty(all_45_6) = all_628_3 % 59.58/8.91 | | | | | | | | | | | | | | (604) ~ (all_628_1 = 0) | ~ (all_628_2 = 0) | % 59.58/8.91 | | | | | | | | | | | | | | all_628_0 = all_45_2 | all_628_3 = 0 | all_628_4 = % 59.58/8.91 | | | | | | | | | | | | | | 0 % 59.58/8.91 | | | | | | | | | | | | | | % 59.58/8.91 | | | | | | | | | | | | | | DELTA: instantiating (583) with fresh symbols all_644_0, % 59.58/8.91 | | | | | | | | | | | | | | all_644_1, all_644_2, all_644_3, all_644_4, % 59.58/8.91 | | | | | | | | | | | | | | all_644_5, all_644_6, all_644_7 gives: % 59.58/8.91 | | | | | | | | | | | | | | (605) latt_str(all_37_0) = all_644_7 & % 59.58/8.91 | | | | | | | | | | | | | | empty_carrier(all_37_0) = all_644_6 & % 59.58/8.91 | | | | | | | | | | | | | | join_commutative(all_37_0) = all_644_5 & % 59.58/8.91 | | | | | | | | | | | | | | join_associative(all_37_0) = all_644_4 & % 59.58/8.91 | | | | | | | | | | | | | | meet_commutative(all_37_0) = all_644_3 & % 59.58/8.91 | | | | | | | | | | | | | | meet_associative(all_37_0) = all_644_2 & % 59.58/8.91 | | | | | | | | | | | | | | meet_absorbing(all_37_0) = all_644_1 & % 59.58/8.91 | | | | | | | | | | | | | | join_absorbing(all_37_0) = all_644_0 & ( ~ % 59.58/8.91 | | | | | | | | | | | | | | (all_644_7 = 0) | all_644_6 = 0 | (all_644_0 = 0 % 59.58/8.91 | | | | | | | | | | | | | | & all_644_1 = 0 & all_644_2 = 0 & all_644_3 = % 59.58/8.91 | | | | | | | | | | | | | | 0 & all_644_4 = 0 & all_644_5 = 0)) % 59.58/8.91 | | | | | | | | | | | | | | % 59.58/8.91 | | | | | | | | | | | | | | ALPHA: (605) implies: % 59.58/8.91 | | | | | | | | | | | | | | (606) empty_carrier(all_37_0) = all_644_6 % 59.58/8.91 | | | | | | | | | | | | | | % 59.58/8.91 | | | | | | | | | | | | | | GROUND_INST: instantiating (37) with all_612_2, all_614_3, % 59.58/8.91 | | | | | | | | | | | | | | all_37_0, simplifying with (592), (595) gives: % 59.58/8.91 | | | | | | | | | | | | | | (607) all_614_3 = all_612_2 % 59.58/8.91 | | | | | | | | | | | | | | % 59.58/8.91 | | | | | | | | | | | | | | GROUND_INST: instantiating (37) with all_75_3, all_644_6, % 59.58/8.91 | | | | | | | | | | | | | | all_37_0, simplifying with (90), (606) gives: % 59.58/8.91 | | | | | | | | | | | | | | (608) all_644_6 = all_75_3 % 59.58/8.91 | | | | | | | | | | | | | | % 59.58/8.91 | | | | | | | | | | | | | | GROUND_INST: instantiating (37) with all_622_3, all_644_6, % 59.58/8.91 | | | | | | | | | | | | | | all_37_0, simplifying with (597), (606) gives: % 59.58/8.91 | | | | | | | | | | | | | | (609) all_644_6 = all_622_3 % 59.58/8.91 | | | | | | | | | | | | | | % 59.58/8.91 | | | | | | | | | | | | | | GROUND_INST: instantiating (37) with all_614_3, all_644_6, % 59.58/8.91 | | | | | | | | | | | | | | all_37_0, simplifying with (595), (606) gives: % 59.58/8.91 | | | | | | | | | | | | | | (610) all_644_6 = all_614_3 % 59.58/8.91 | | | | | | | | | | | | | | % 59.58/8.92 | | | | | | | | | | | | | | GROUND_INST: instantiating (38) with 0, all_628_2, all_45_6, % 59.58/8.92 | | | | | | | | | | | | | | all_322_5, simplifying with (424), (600) gives: % 59.58/8.92 | | | | | | | | | | | | | | (611) all_628_2 = 0 % 59.58/8.92 | | | | | | | | | | | | | | % 59.58/8.92 | | | | | | | | | | | | | | GROUND_INST: instantiating (38) with 0, all_628_1, all_45_6, % 59.58/8.92 | | | | | | | | | | | | | | all_322_4, simplifying with (423), (601) gives: % 59.58/8.92 | | | | | | | | | | | | | | (612) all_628_1 = 0 % 59.58/8.92 | | | | | | | | | | | | | | % 59.58/8.92 | | | | | | | | | | | | | | GROUND_INST: instantiating (52) with all_55_1, all_628_4, % 59.58/8.92 | | | | | | | | | | | | | | all_45_6, simplifying with (2), (602) gives: % 59.58/8.92 | | | | | | | | | | | | | | (613) all_628_4 = all_55_1 % 59.58/8.92 | | | | | | | | | | | | | | % 59.58/8.92 | | | | | | | | | | | | | | GROUND_INST: instantiating (52) with all_628_4, all_628_3, % 59.58/8.92 | | | | | | | | | | | | | | all_45_6, simplifying with (602), (603) gives: % 59.58/8.92 | | | | | | | | | | | | | | (614) all_628_3 = all_628_4 % 59.58/8.92 | | | | | | | | | | | | | | % 59.58/8.92 | | | | | | | | | | | | | | GROUND_INST: instantiating (52) with all_602_1, all_628_3, % 59.58/8.92 | | | | | | | | | | | | | | all_45_6, simplifying with (590), (603) gives: % 59.58/8.92 | | | | | | | | | | | | | | (615) all_628_3 = all_602_1 % 59.58/8.92 | | | | | | | | | | | | | | % 59.58/8.92 | | | | | | | | | | | | | | COMBINE_EQS: (608), (609) imply: % 59.58/8.92 | | | | | | | | | | | | | | (616) all_622_3 = all_75_3 % 59.58/8.92 | | | | | | | | | | | | | | % 59.58/8.92 | | | | | | | | | | | | | | COMBINE_EQS: (609), (610) imply: % 59.58/8.92 | | | | | | | | | | | | | | (617) all_622_3 = all_614_3 % 59.58/8.92 | | | | | | | | | | | | | | % 59.58/8.92 | | | | | | | | | | | | | | COMBINE_EQS: (614), (615) imply: % 59.58/8.92 | | | | | | | | | | | | | | (618) all_628_4 = all_602_1 % 59.58/8.92 | | | | | | | | | | | | | | % 59.58/8.92 | | | | | | | | | | | | | | SIMP: (618) implies: % 59.58/8.92 | | | | | | | | | | | | | | (619) all_628_4 = all_602_1 % 59.58/8.92 | | | | | | | | | | | | | | % 59.58/8.92 | | | | | | | | | | | | | | COMBINE_EQS: (613), (619) imply: % 59.58/8.92 | | | | | | | | | | | | | | (620) all_602_1 = all_55_1 % 59.58/8.92 | | | | | | | | | | | | | | % 59.58/8.92 | | | | | | | | | | | | | | SIMP: (620) implies: % 59.58/8.92 | | | | | | | | | | | | | | (621) all_602_1 = all_55_1 % 59.58/8.92 | | | | | | | | | | | | | | % 59.58/8.92 | | | | | | | | | | | | | | COMBINE_EQS: (616), (617) imply: % 59.58/8.92 | | | | | | | | | | | | | | (622) all_614_3 = all_75_3 % 59.58/8.92 | | | | | | | | | | | | | | % 59.58/8.92 | | | | | | | | | | | | | | SIMP: (622) implies: % 59.58/8.92 | | | | | | | | | | | | | | (623) all_614_3 = all_75_3 % 59.58/8.92 | | | | | | | | | | | | | | % 59.58/8.92 | | | | | | | | | | | | | | COMBINE_EQS: (607), (623) imply: % 59.58/8.92 | | | | | | | | | | | | | | (624) all_612_2 = all_75_3 % 59.58/8.92 | | | | | | | | | | | | | | % 59.58/8.92 | | | | | | | | | | | | | | SIMP: (624) implies: % 59.58/8.92 | | | | | | | | | | | | | | (625) all_612_2 = all_75_3 % 59.58/8.92 | | | | | | | | | | | | | | % 59.58/8.92 | | | | | | | | | | | | | | COMBINE_EQS: (615), (621) imply: % 59.58/8.92 | | | | | | | | | | | | | | (626) all_628_3 = all_55_1 % 59.58/8.92 | | | | | | | | | | | | | | % 59.58/8.92 | | | | | | | | | | | | | | BETA: splitting (604) gives: % 59.58/8.92 | | | | | | | | | | | | | | % 59.58/8.92 | | | | | | | | | | | | | | Case 1: % 59.58/8.92 | | | | | | | | | | | | | | | % 59.58/8.92 | | | | | | | | | | | | | | | (627) ~ (all_628_1 = 0) % 59.58/8.92 | | | | | | | | | | | | | | | % 59.58/8.92 | | | | | | | | | | | | | | | REDUCE: (612), (627) imply: % 59.58/8.92 | | | | | | | | | | | | | | | (628) $false % 59.58/8.92 | | | | | | | | | | | | | | | % 59.58/8.92 | | | | | | | | | | | | | | | CLOSE: (628) is inconsistent. % 59.58/8.92 | | | | | | | | | | | | | | | % 59.58/8.92 | | | | | | | | | | | | | | Case 2: % 59.58/8.92 | | | | | | | | | | | | | | | % 59.58/8.92 | | | | | | | | | | | | | | | (629) ~ (all_628_2 = 0) | all_628_0 = all_45_2 | % 59.58/8.92 | | | | | | | | | | | | | | | all_628_3 = 0 | all_628_4 = 0 % 59.58/8.92 | | | | | | | | | | | | | | | % 59.58/8.92 | | | | | | | | | | | | | | | BETA: splitting (629) gives: % 59.58/8.92 | | | | | | | | | | | | | | | % 59.58/8.92 | | | | | | | | | | | | | | | Case 1: % 59.58/8.92 | | | | | | | | | | | | | | | | % 59.58/8.92 | | | | | | | | | | | | | | | | (630) ~ (all_628_2 = 0) % 59.58/8.92 | | | | | | | | | | | | | | | | % 59.58/8.92 | | | | | | | | | | | | | | | | REDUCE: (611), (630) imply: % 59.58/8.92 | | | | | | | | | | | | | | | | (631) $false % 59.58/8.92 | | | | | | | | | | | | | | | | % 59.58/8.92 | | | | | | | | | | | | | | | | CLOSE: (631) is inconsistent. % 59.58/8.92 | | | | | | | | | | | | | | | | % 59.58/8.92 | | | | | | | | | | | | | | | Case 2: % 59.58/8.92 | | | | | | | | | | | | | | | | % 59.58/8.92 | | | | | | | | | | | | | | | | (632) all_628_0 = all_45_2 | all_628_3 = 0 | all_628_4 = % 59.58/8.92 | | | | | | | | | | | | | | | | 0 % 59.58/8.92 | | | | | | | | | | | | | | | | % 59.58/8.92 | | | | | | | | | | | | | | | | BETA: splitting (632) gives: % 59.58/8.92 | | | | | | | | | | | | | | | | % 59.58/8.92 | | | | | | | | | | | | | | | | Case 1: % 59.58/8.92 | | | | | | | | | | | | | | | | | % 59.58/8.92 | | | | | | | | | | | | | | | | | (633) all_628_3 = 0 % 59.58/8.92 | | | | | | | | | | | | | | | | | % 59.58/8.92 | | | | | | | | | | | | | | | | | COMBINE_EQS: (626), (633) imply: % 59.58/8.92 | | | | | | | | | | | | | | | | | (634) all_55_1 = 0 % 59.58/8.92 | | | | | | | | | | | | | | | | | % 59.58/8.92 | | | | | | | | | | | | | | | | | SIMP: (634) implies: % 59.58/8.92 | | | | | | | | | | | | | | | | | (635) all_55_1 = 0 % 59.58/8.92 | | | | | | | | | | | | | | | | | % 59.58/8.92 | | | | | | | | | | | | | | | | | REDUCE: (109), (635) imply: % 59.58/8.92 | | | | | | | | | | | | | | | | | (636) $false % 59.58/8.92 | | | | | | | | | | | | | | | | | % 59.58/8.92 | | | | | | | | | | | | | | | | | CLOSE: (636) is inconsistent. % 59.58/8.92 | | | | | | | | | | | | | | | | | % 59.58/8.92 | | | | | | | | | | | | | | | | Case 2: % 59.58/8.92 | | | | | | | | | | | | | | | | | % 59.58/8.92 | | | | | | | | | | | | | | | | | (637) ~ (all_628_3 = 0) % 59.58/8.92 | | | | | | | | | | | | | | | | | (638) all_628_0 = all_45_2 | all_628_4 = 0 % 59.58/8.92 | | | | | | | | | | | | | | | | | % 59.58/8.92 | | | | | | | | | | | | | | | | | BETA: splitting (638) gives: % 59.58/8.92 | | | | | | | | | | | | | | | | | % 59.58/8.92 | | | | | | | | | | | | | | | | | Case 1: % 59.58/8.92 | | | | | | | | | | | | | | | | | | % 59.58/8.92 | | | | | | | | | | | | | | | | | | (639) all_628_4 = 0 % 59.58/8.92 | | | | | | | | | | | | | | | | | | % 59.58/8.92 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (613), (639) imply: % 59.58/8.92 | | | | | | | | | | | | | | | | | | (640) all_55_1 = 0 % 59.58/8.92 | | | | | | | | | | | | | | | | | | % 59.58/8.92 | | | | | | | | | | | | | | | | | | SIMP: (640) implies: % 59.58/8.92 | | | | | | | | | | | | | | | | | | (641) all_55_1 = 0 % 59.58/8.92 | | | | | | | | | | | | | | | | | | % 59.58/8.92 | | | | | | | | | | | | | | | | | | REDUCE: (109), (641) imply: % 59.58/8.92 | | | | | | | | | | | | | | | | | | (642) $false % 59.58/8.92 | | | | | | | | | | | | | | | | | | % 59.58/8.92 | | | | | | | | | | | | | | | | | | CLOSE: (642) is inconsistent. % 59.58/8.92 | | | | | | | | | | | | | | | | | | % 59.58/8.92 | | | | | | | | | | | | | | | | | Case 2: % 59.58/8.92 | | | | | | | | | | | | | | | | | | % 59.58/8.92 | | | | | | | | | | | | | | | | | | (643) all_628_0 = all_45_2 % 59.58/8.92 | | | | | | | | | | | | | | | | | | % 59.58/8.92 | | | | | | | | | | | | | | | | | | REDUCE: (599), (643) imply: % 59.58/8.92 | | | | | | | | | | | | | | | | | | (644) ordered_pair(all_322_5, all_322_4) = all_45_2 % 59.58/8.92 | | | | | | | | | | | | | | | | | | % 59.58/8.92 | | | | | | | | | | | | | | | | | | BETA: splitting (93) gives: % 59.58/8.92 | | | | | | | | | | | | | | | | | | % 59.58/8.92 | | | | | | | | | | | | | | | | | | Case 1: % 59.58/8.92 | | | | | | | | | | | | | | | | | | | % 59.58/8.92 | | | | | | | | | | | | | | | | | | | % 59.58/8.92 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (30) with all_45_4, all_45_3, % 59.58/8.92 | | | | | | | | | | | | | | | | | | | all_322_5, all_322_4, all_45_2, simplifying with % 59.58/8.92 | | | | | | | | | | | | | | | | | | | (22), (53), (69), (102), (128), (644) gives: % 59.58/8.92 | | | | | | | | | | | | | | | | | | | (645) all_322_4 = all_45_3 % 59.58/8.92 | | | | | | | | | | | | | | | | | | | % 59.58/8.92 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (19) with all_45_4, all_45_3, % 59.58/8.92 | | | | | | | | | | | | | | | | | | | all_322_5, all_322_4, all_45_2, simplifying with % 59.58/8.92 | | | | | | | | | | | | | | | | | | | (22), (53), (69), (102), (128), (644) gives: % 59.58/8.92 | | | | | | | | | | | | | | | | | | | (646) all_322_5 = all_45_4 % 59.58/8.92 | | | | | | | | | | | | | | | | | | | % 59.58/8.92 | | | | | | | | | | | | | | | | | | | REDUCE: (421), (645), (646) imply: % 59.58/8.92 | | | | | | | | | | | | | | | | | | | (647) below_refl(all_45_8, all_45_4, all_45_3) = 0 % 59.58/8.92 | | | | | | | | | | | | | | | | | | | % 59.58/8.92 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (1), (25), (403), (647) are inconsistent by % 59.58/8.92 | | | | | | | | | | | | | | | | | | | sub-proof #2. % 59.58/8.92 | | | | | | | | | | | | | | | | | | | % 59.58/8.92 | | | | | | | | | | | | | | | | | | Case 2: % 59.58/8.92 | | | | | | | | | | | | | | | | | | | % 59.58/8.92 | | | | | | | | | | | | | | | | | | | (648) ~ (all_75_3 = 0) % 59.58/8.92 | | | | | | | | | | | | | | | | | | | % 59.58/8.92 | | | | | | | | | | | | | | | | | | | BETA: splitting (593) gives: % 59.58/8.92 | | | | | | | | | | | | | | | | | | | % 59.58/8.92 | | | | | | | | | | | | | | | | | | | Case 1: % 59.58/8.92 | | | | | | | | | | | | | | | | | | | | % 59.58/8.92 | | | | | | | | | | | | | | | | | | | | % 59.58/8.92 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (30) with all_45_4, all_45_3, % 59.58/8.92 | | | | | | | | | | | | | | | | | | | | all_322_5, all_322_4, all_45_2, simplifying with % 59.58/8.92 | | | | | | | | | | | | | | | | | | | | (22), (53), (69), (102), (128), (644) gives: % 59.58/8.92 | | | | | | | | | | | | | | | | | | | | (649) all_322_4 = all_45_3 % 59.58/8.92 | | | | | | | | | | | | | | | | | | | | % 59.58/8.92 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (19) with all_45_4, all_45_3, % 59.58/8.92 | | | | | | | | | | | | | | | | | | | | all_322_5, all_322_4, all_45_2, simplifying with % 59.58/8.92 | | | | | | | | | | | | | | | | | | | | (22), (53), (69), (102), (128), (644) gives: % 59.58/8.92 | | | | | | | | | | | | | | | | | | | | (650) all_322_5 = all_45_4 % 59.58/8.92 | | | | | | | | | | | | | | | | | | | | % 59.58/8.92 | | | | | | | | | | | | | | | | | | | | REDUCE: (421), (649), (650) imply: % 59.58/8.92 | | | | | | | | | | | | | | | | | | | | (651) below_refl(all_45_8, all_45_4, all_45_3) = 0 % 59.58/8.92 | | | | | | | | | | | | | | | | | | | | % 59.58/8.92 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (1), (25), (403), (651) are inconsistent by % 59.58/8.92 | | | | | | | | | | | | | | | | | | | | sub-proof #2. % 59.58/8.92 | | | | | | | | | | | | | | | | | | | | % 59.58/8.92 | | | | | | | | | | | | | | | | | | | Case 2: % 59.58/8.92 | | | | | | | | | | | | | | | | | | | | % 59.58/8.92 | | | | | | | | | | | | | | | | | | | | (652) all_612_2 = 0 % 59.58/8.92 | | | | | | | | | | | | | | | | | | | | % 59.58/8.92 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (625), (652) imply: % 59.58/8.92 | | | | | | | | | | | | | | | | | | | | (653) all_75_3 = 0 % 59.58/8.92 | | | | | | | | | | | | | | | | | | | | % 59.58/8.92 | | | | | | | | | | | | | | | | | | | | SIMP: (653) implies: % 59.58/8.92 | | | | | | | | | | | | | | | | | | | | (654) all_75_3 = 0 % 59.58/8.92 | | | | | | | | | | | | | | | | | | | | % 59.58/8.92 | | | | | | | | | | | | | | | | | | | | REDUCE: (648), (654) imply: % 59.58/8.92 | | | | | | | | | | | | | | | | | | | | (655) $false % 59.58/8.92 | | | | | | | | | | | | | | | | | | | | % 59.58/8.92 | | | | | | | | | | | | | | | | | | | | CLOSE: (655) is inconsistent. % 59.58/8.92 | | | | | | | | | | | | | | | | | | | | % 59.58/8.92 | | | | | | | | | | | | | | | | | | | End of split % 59.58/8.92 | | | | | | | | | | | | | | | | | | | % 59.58/8.92 | | | | | | | | | | | | | | | | | | End of split % 59.58/8.92 | | | | | | | | | | | | | | | | | | % 59.58/8.92 | | | | | | | | | | | | | | | | | End of split % 59.58/8.92 | | | | | | | | | | | | | | | | | % 59.58/8.92 | | | | | | | | | | | | | | | | End of split % 59.58/8.92 | | | | | | | | | | | | | | | | % 59.58/8.92 | | | | | | | | | | | | | | | End of split % 59.58/8.92 | | | | | | | | | | | | | | | % 59.58/8.92 | | | | | | | | | | | | | | End of split % 59.58/8.92 | | | | | | | | | | | | | | % 59.58/8.92 | | | | | | | | | | | | | End of split % 59.58/8.92 | | | | | | | | | | | | | % 59.58/8.92 | | | | | | | | | | | | End of split % 59.58/8.92 | | | | | | | | | | | | % 59.58/8.92 | | | | | | | | | | | End of split % 59.58/8.92 | | | | | | | | | | | % 59.58/8.92 | | | | | | | | | | End of split % 59.58/8.92 | | | | | | | | | | % 59.58/8.92 | | | | | | | | | End of split % 59.58/8.92 | | | | | | | | | % 59.58/8.92 | | | | | | | | End of split % 59.58/8.92 | | | | | | | | % 59.58/8.92 | | | | | | | End of split % 59.58/8.92 | | | | | | | % 59.58/8.92 | | | | | | End of split % 59.58/8.92 | | | | | | % 59.58/8.92 | | | | | End of split % 59.58/8.92 | | | | | % 59.58/8.92 | | | | End of split % 59.58/8.92 | | | | % 59.58/8.92 | | | End of split % 59.58/8.92 | | | % 59.58/8.92 | | End of split % 59.58/8.92 | | % 59.58/8.92 | Case 2: % 59.58/8.92 | | % 59.58/8.92 | | (656) ~ (all_114_2 = 0) % 59.58/8.92 | | % 59.58/8.92 | | REDUCE: (32), (656) imply: % 59.58/8.92 | | (657) $false % 59.58/8.92 | | % 59.58/8.92 | | CLOSE: (657) is inconsistent. % 59.58/8.92 | | % 59.58/8.92 | End of split % 59.58/8.92 | % 59.58/8.92 End of proof % 59.58/8.92 % 59.58/8.92 Sub-proof #2 shows that the following formulas are inconsistent: % 59.58/8.92 ---------------------------------------------------------------- % 59.58/8.92 (1) ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : % 59.58/8.92 ! [v3: $i] : ! [v4: $i] : (v1 = v0 | ~ (below_refl(v4, v3, v2) = v1) | % 59.58/8.92 ~ (below_refl(v4, v3, v2) = v0)) % 59.58/8.92 (2) below_refl(all_45_8, all_45_4, all_45_3) = all_45_0 % 59.58/8.92 (3) below_refl(all_45_8, all_45_4, all_45_3) = 0 % 59.58/8.92 (4) ~ (all_45_0 = 0) % 59.58/8.92 % 59.58/8.92 Begin of proof % 59.58/8.92 | % 59.58/8.92 | GROUND_INST: instantiating (1) with all_45_0, 0, all_45_3, all_45_4, all_45_8, % 59.58/8.92 | simplifying with (2), (3) gives: % 59.58/8.92 | (5) all_45_0 = 0 % 59.58/8.92 | % 59.58/8.92 | REDUCE: (4), (5) imply: % 59.58/8.92 | (6) $false % 59.58/8.92 | % 59.58/8.92 | CLOSE: (6) is inconsistent. % 59.58/8.92 | % 59.58/8.92 End of proof % 59.58/8.92 % SZS output end Proof for theBenchmark % 59.58/8.92 % 59.58/8.92 8314ms %------------------------------------------------------------------------------