TSTP Solution File: SEU413+1 by Princess---230619
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Princess---230619
% Problem : SEU413+1 : TPTP v8.1.2. Released v3.4.0.
% Transfm : none
% Format : tptp
% Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s
% Computer : n019.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 17:44:35 EDT 2023
% Result : Theorem 16.97s 3.18s
% Output : Proof 103.67s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SEU413+1 : TPTP v8.1.2. Released v3.4.0.
% 0.00/0.14 % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s
% 0.18/0.35 % Computer : n019.cluster.edu
% 0.18/0.35 % Model : x86_64 x86_64
% 0.18/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.35 % Memory : 8042.1875MB
% 0.18/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.18/0.35 % CPULimit : 300
% 0.18/0.35 % WCLimit : 300
% 0.18/0.35 % DateTime : Wed Aug 23 18:38:58 EDT 2023
% 0.18/0.36 % CPUTime :
% 0.22/0.62 ________ _____
% 0.22/0.62 ___ __ \_________(_)________________________________
% 0.22/0.62 __ /_/ /_ ___/_ /__ __ \ ___/ _ \_ ___/_ ___/
% 0.22/0.62 _ ____/_ / _ / _ / / / /__ / __/(__ )_(__ )
% 0.22/0.62 /_/ /_/ /_/ /_/ /_/\___/ \___//____/ /____/
% 0.22/0.62
% 0.22/0.62 A Theorem Prover for First-Order Logic modulo Linear Integer Arithmetic
% 0.22/0.62 (2023-06-19)
% 0.22/0.62
% 0.22/0.62 (c) Philipp Rümmer, 2009-2023
% 0.22/0.62 Contributors: Peter Backeman, Peter Baumgartner, Angelo Brillout, Zafer Esen,
% 0.22/0.62 Amanda Stjerna.
% 0.22/0.62 Free software under BSD-3-Clause.
% 0.22/0.62
% 0.22/0.62 For more information, visit http://www.philipp.ruemmer.org/princess.shtml
% 0.22/0.62
% 0.22/0.62 Loading /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 0.22/0.63 Running up to 7 provers in parallel.
% 0.22/0.65 Prover 0: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893
% 0.22/0.65 Prover 2: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1065072994
% 0.22/0.65 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1571432423
% 0.22/0.65 Prover 3: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996
% 0.22/0.65 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696
% 0.22/0.65 Prover 5: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288
% 0.22/0.65 Prover 6: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365
% 2.56/1.18 Prover 1: Preprocessing ...
% 2.56/1.18 Prover 4: Preprocessing ...
% 3.17/1.22 Prover 5: Preprocessing ...
% 3.17/1.22 Prover 3: Preprocessing ...
% 3.17/1.22 Prover 2: Preprocessing ...
% 3.17/1.23 Prover 6: Preprocessing ...
% 3.17/1.23 Prover 0: Preprocessing ...
% 6.29/1.71 Prover 1: Warning: ignoring some quantifiers
% 6.99/1.76 Prover 1: Constructing countermodel ...
% 6.99/1.77 Prover 5: Proving ...
% 6.99/1.78 Prover 3: Warning: ignoring some quantifiers
% 7.29/1.79 Prover 6: Proving ...
% 7.29/1.80 Prover 3: Constructing countermodel ...
% 7.29/1.83 Prover 2: Proving ...
% 7.71/1.89 Prover 4: Warning: ignoring some quantifiers
% 8.49/1.96 Prover 4: Constructing countermodel ...
% 8.49/2.00 Prover 0: Proving ...
% 9.87/2.25 Prover 3: gave up
% 9.87/2.26 Prover 7: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470
% 10.64/2.32 Prover 7: Preprocessing ...
% 12.01/2.45 Prover 7: Warning: ignoring some quantifiers
% 12.01/2.46 Prover 7: Constructing countermodel ...
% 16.97/3.18 Prover 0: proved (2537ms)
% 16.97/3.18
% 16.97/3.18 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 16.97/3.18
% 16.97/3.18 Prover 8: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089
% 16.97/3.18 Prover 2: stopped
% 16.97/3.18 Prover 5: stopped
% 16.97/3.18 Prover 6: stopped
% 16.97/3.19 Prover 10: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=919308125
% 16.97/3.19 Prover 11: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1509710984
% 16.97/3.20 Prover 13: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=1138197443
% 17.68/3.23 Prover 10: Preprocessing ...
% 17.68/3.24 Prover 8: Preprocessing ...
% 17.68/3.25 Prover 11: Preprocessing ...
% 17.68/3.25 Prover 13: Preprocessing ...
% 17.68/3.29 Prover 10: Warning: ignoring some quantifiers
% 17.68/3.29 Prover 10: Constructing countermodel ...
% 18.88/3.39 Prover 8: Warning: ignoring some quantifiers
% 19.06/3.40 Prover 8: Constructing countermodel ...
% 19.06/3.40 Prover 13: Warning: ignoring some quantifiers
% 19.06/3.41 Prover 13: Constructing countermodel ...
% 19.22/3.44 Prover 11: Warning: ignoring some quantifiers
% 19.22/3.44 Prover 11: Constructing countermodel ...
% 19.22/3.47 Prover 10: gave up
% 19.22/3.49 Prover 16: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=completeFrugal -randomSeed=-2043353683
% 20.00/3.52 Prover 16: Preprocessing ...
% 20.60/3.60 Prover 16: Warning: ignoring some quantifiers
% 20.60/3.60 Prover 16: Constructing countermodel ...
% 61.81/9.19 Prover 13: stopped
% 61.81/9.20 Prover 19: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=-1780594085
% 61.81/9.24 Prover 19: Preprocessing ...
% 63.31/9.33 Prover 19: Warning: ignoring some quantifiers
% 63.31/9.34 Prover 19: Constructing countermodel ...
% 77.17/11.13 Prover 16: stopped
% 92.06/13.11 Prover 19: stopped
% 101.56/14.71 Prover 4: Found proof (size 947)
% 101.56/14.71 Prover 4: proved (14068ms)
% 101.56/14.71 Prover 7: stopped
% 101.56/14.71 Prover 1: stopped
% 101.56/14.72 Prover 11: stopped
% 101.56/14.72 Prover 8: stopped
% 101.56/14.72
% 101.56/14.72 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 101.56/14.72
% 101.87/14.83 % SZS output start Proof for theBenchmark
% 101.87/14.84 Assumptions after simplification:
% 101.87/14.84 ---------------------------------
% 101.87/14.84
% 101.87/14.84 (abstractness_v1_orders_2)
% 101.87/14.87 ! [v0: $i] : ! [v1: $i] : ( ~ (u1_struct_0(v0) = v1) | ~ $i(v0) | ? [v2:
% 101.87/14.87 any] : ? [v3: any] : ? [v4: $i] : ? [v5: $i] : (v1_orders_2(v0) = v3 &
% 101.87/14.87 l1_orders_2(v0) = v2 & u1_orders_2(v0) = v4 & g1_orders_2(v1, v4) = v5 &
% 101.87/14.87 $i(v5) & $i(v4) & ( ~ (v3 = 0) | ~ (v2 = 0) | v5 = v0))) & ! [v0: $i] :
% 101.87/14.87 ! [v1: $i] : ( ~ (u1_orders_2(v0) = v1) | ~ $i(v0) | ? [v2: any] : ? [v3:
% 101.87/14.87 any] : ? [v4: $i] : ? [v5: $i] : (v1_orders_2(v0) = v3 & l1_orders_2(v0)
% 101.87/14.87 = v2 & u1_struct_0(v0) = v4 & g1_orders_2(v4, v1) = v5 & $i(v5) & $i(v4) &
% 101.87/14.87 ( ~ (v3 = 0) | ~ (v2 = 0) | v5 = v0))) & ! [v0: $i] : ( ~
% 101.87/14.87 (v1_orders_2(v0) = 0) | ~ $i(v0) | ? [v1: any] : ? [v2: $i] : ? [v3: $i]
% 101.87/14.87 : ? [v4: $i] : (l1_orders_2(v0) = v1 & u1_struct_0(v0) = v2 &
% 101.87/14.87 u1_orders_2(v0) = v3 & g1_orders_2(v2, v3) = v4 & $i(v4) & $i(v3) & $i(v2)
% 101.87/14.87 & ( ~ (v1 = 0) | v4 = v0))) & ! [v0: $i] : ( ~ (l1_orders_2(v0) = 0) | ~
% 101.87/14.87 $i(v0) | ? [v1: any] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] :
% 101.87/14.87 (v1_orders_2(v0) = v1 & u1_struct_0(v0) = v2 & u1_orders_2(v0) = v3 &
% 101.87/14.87 g1_orders_2(v2, v3) = v4 & $i(v4) & $i(v3) & $i(v2) & ( ~ (v1 = 0) | v4 =
% 101.87/14.87 v0)))
% 101.87/14.87
% 101.87/14.87 (antisymmetry_r2_hidden)
% 101.87/14.87 ! [v0: $i] : ! [v1: $i] : ( ~ (r2_hidden(v1, v0) = 0) | ~ $i(v1) | ~
% 101.87/14.87 $i(v0) | ? [v2: int] : ( ~ (v2 = 0) & r2_hidden(v0, v1) = v2)) & ! [v0:
% 101.87/14.87 $i] : ! [v1: $i] : ( ~ (r2_hidden(v0, v1) = 0) | ~ $i(v1) | ~ $i(v0) | ?
% 101.87/14.87 [v2: int] : ( ~ (v2 = 0) & r2_hidden(v1, v0) = v2))
% 101.87/14.87
% 101.87/14.87 (d9_orders_2)
% 102.18/14.89 ! [v0: $i] : ! [v1: $i] : ( ~ (u1_struct_0(v0) = v1) | ~ $i(v0) | ? [v2:
% 102.18/14.89 any] : ? [v3: $i] : (l1_orders_2(v0) = v2 & u1_orders_2(v0) = v3 & $i(v3)
% 102.18/14.89 & ( ~ (v2 = 0) | ( ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : ( ~
% 102.18/14.89 (k4_tarski(v4, v5) = v6) | ~ (m1_subset_1(v4, v1) = 0) | ~ $i(v5)
% 102.18/14.89 | ~ $i(v4) | ? [v7: any] : ? [v8: any] : ? [v9: any] :
% 102.18/14.89 (r1_orders_2(v0, v4, v5) = v8 & m1_subset_1(v5, v1) = v7 &
% 102.18/14.89 r2_hidden(v6, v3) = v9 & ( ~ (v7 = 0) | (( ~ (v9 = 0) | v8 = 0) &
% 102.18/14.89 ( ~ (v8 = 0) | v9 = 0))))) & ! [v4: $i] : ! [v5: $i] : !
% 102.18/14.89 [v6: any] : ( ~ (r1_orders_2(v0, v4, v5) = v6) | ~ (m1_subset_1(v4,
% 102.18/14.89 v1) = 0) | ~ $i(v5) | ~ $i(v4) | ? [v7: any] : ? [v8: $i] :
% 102.18/14.89 ? [v9: any] : (k4_tarski(v4, v5) = v8 & m1_subset_1(v5, v1) = v7 &
% 102.18/14.89 r2_hidden(v8, v3) = v9 & $i(v8) & ( ~ (v7 = 0) | (( ~ (v9 = 0) |
% 102.18/14.89 v6 = 0) & ( ~ (v6 = 0) | v9 = 0))))) & ! [v4: $i] : ! [v5:
% 102.18/14.89 $i] : ( ~ (m1_subset_1(v5, v1) = 0) | ~ (m1_subset_1(v4, v1) = 0) |
% 102.18/14.89 ~ $i(v5) | ~ $i(v4) | ? [v6: any] : ? [v7: $i] : ? [v8: any] :
% 102.18/14.89 (k4_tarski(v4, v5) = v7 & r1_orders_2(v0, v4, v5) = v6 &
% 102.18/14.89 r2_hidden(v7, v3) = v8 & $i(v7) & ( ~ (v8 = 0) | v6 = 0) & ( ~ (v6
% 102.18/14.89 = 0) | v8 = 0))))))) & ! [v0: $i] : ! [v1: $i] : ( ~
% 102.18/14.89 (u1_orders_2(v0) = v1) | ~ $i(v0) | ? [v2: any] : ? [v3: $i] :
% 102.18/14.89 (l1_orders_2(v0) = v2 & u1_struct_0(v0) = v3 & $i(v3) & ( ~ (v2 = 0) | ( !
% 102.18/14.89 [v4: $i] : ! [v5: $i] : ! [v6: $i] : ( ~ (k4_tarski(v4, v5) = v6) |
% 102.18/14.89 ~ (m1_subset_1(v4, v3) = 0) | ~ $i(v5) | ~ $i(v4) | ? [v7: any] :
% 102.18/14.89 ? [v8: any] : ? [v9: any] : (r1_orders_2(v0, v4, v5) = v8 &
% 102.18/14.89 m1_subset_1(v5, v3) = v7 & r2_hidden(v6, v1) = v9 & ( ~ (v7 = 0) |
% 102.18/14.89 (( ~ (v9 = 0) | v8 = 0) & ( ~ (v8 = 0) | v9 = 0))))) & ! [v4:
% 102.18/14.89 $i] : ! [v5: $i] : ! [v6: any] : ( ~ (r1_orders_2(v0, v4, v5) =
% 102.18/14.89 v6) | ~ (m1_subset_1(v4, v3) = 0) | ~ $i(v5) | ~ $i(v4) | ?
% 102.18/14.89 [v7: any] : ? [v8: $i] : ? [v9: any] : (k4_tarski(v4, v5) = v8 &
% 102.18/14.89 m1_subset_1(v5, v3) = v7 & r2_hidden(v8, v1) = v9 & $i(v8) & ( ~
% 102.18/14.89 (v7 = 0) | (( ~ (v9 = 0) | v6 = 0) & ( ~ (v6 = 0) | v9 = 0)))))
% 102.18/14.89 & ! [v4: $i] : ! [v5: $i] : ( ~ (m1_subset_1(v5, v3) = 0) | ~
% 102.18/14.89 (m1_subset_1(v4, v3) = 0) | ~ $i(v5) | ~ $i(v4) | ? [v6: any] :
% 102.18/14.89 ? [v7: $i] : ? [v8: any] : (k4_tarski(v4, v5) = v7 &
% 102.18/14.89 r1_orders_2(v0, v4, v5) = v6 & r2_hidden(v7, v1) = v8 & $i(v7) & (
% 102.18/14.89 ~ (v8 = 0) | v6 = 0) & ( ~ (v6 = 0) | v8 = 0))))))) & ! [v0:
% 102.18/14.89 $i] : ( ~ (l1_orders_2(v0) = 0) | ~ $i(v0) | ? [v1: $i] : ? [v2: $i] :
% 102.18/14.89 (u1_struct_0(v0) = v1 & u1_orders_2(v0) = v2 & $i(v2) & $i(v1) & ! [v3: $i]
% 102.18/14.89 : ! [v4: $i] : ! [v5: $i] : ( ~ (k4_tarski(v3, v4) = v5) | ~
% 102.18/14.89 (m1_subset_1(v3, v1) = 0) | ~ $i(v4) | ~ $i(v3) | ? [v6: any] : ?
% 102.18/14.89 [v7: any] : ? [v8: any] : (r1_orders_2(v0, v3, v4) = v7 &
% 102.18/14.89 m1_subset_1(v4, v1) = v6 & r2_hidden(v5, v2) = v8 & ( ~ (v6 = 0) | ((
% 102.18/14.89 ~ (v8 = 0) | v7 = 0) & ( ~ (v7 = 0) | v8 = 0))))) & ! [v3: $i]
% 102.18/14.89 : ! [v4: $i] : ! [v5: any] : ( ~ (r1_orders_2(v0, v3, v4) = v5) | ~
% 102.18/14.89 (m1_subset_1(v3, v1) = 0) | ~ $i(v4) | ~ $i(v3) | ? [v6: any] : ?
% 102.18/14.89 [v7: $i] : ? [v8: any] : (k4_tarski(v3, v4) = v7 & m1_subset_1(v4, v1)
% 102.18/14.89 = v6 & r2_hidden(v7, v2) = v8 & $i(v7) & ( ~ (v6 = 0) | (( ~ (v8 = 0)
% 102.18/14.89 | v5 = 0) & ( ~ (v5 = 0) | v8 = 0))))) & ! [v3: $i] : ! [v4:
% 102.18/14.89 $i] : ( ~ (m1_subset_1(v4, v1) = 0) | ~ (m1_subset_1(v3, v1) = 0) | ~
% 102.18/14.89 $i(v4) | ~ $i(v3) | ? [v5: any] : ? [v6: $i] : ? [v7: any] :
% 102.18/14.89 (k4_tarski(v3, v4) = v6 & r1_orders_2(v0, v3, v4) = v5 & r2_hidden(v6,
% 102.18/14.89 v2) = v7 & $i(v6) & ( ~ (v7 = 0) | v5 = 0) & ( ~ (v5 = 0) | v7 =
% 102.18/14.89 0)))))
% 102.18/14.89
% 102.18/14.89 (dt_k1_latsum_1)
% 102.18/14.89 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ (k1_latsum_1(v0, v1) = v2) | ~
% 102.18/14.89 $i(v1) | ~ $i(v0) | ? [v3: any] : ? [v4: any] : ? [v5: any] : ? [v6:
% 102.18/14.89 any] : (v1_orders_2(v2) = v5 & l1_orders_2(v2) = v6 & l1_orders_2(v1) = v4
% 102.18/14.89 & l1_orders_2(v0) = v3 & ( ~ (v4 = 0) | ~ (v3 = 0) | (v6 = 0 & v5 = 0))))
% 102.18/14.89
% 102.18/14.89 (dt_u1_orders_2)
% 102.25/14.90 ! [v0: $i] : ! [v1: $i] : ( ~ (u1_struct_0(v0) = v1) | ~ $i(v0) | ? [v2:
% 102.25/14.90 any] : ? [v3: $i] : ? [v4: any] : (m2_relset_1(v3, v1, v1) = v4 &
% 102.25/14.90 l1_orders_2(v0) = v2 & u1_orders_2(v0) = v3 & $i(v3) & ( ~ (v2 = 0) | v4 =
% 102.25/14.90 0))) & ! [v0: $i] : ! [v1: $i] : ( ~ (u1_orders_2(v0) = v1) | ~
% 102.25/14.90 $i(v0) | ? [v2: any] : ? [v3: $i] : ? [v4: any] : (m2_relset_1(v1, v3,
% 102.25/14.90 v3) = v4 & l1_orders_2(v0) = v2 & u1_struct_0(v0) = v3 & $i(v3) & ( ~
% 102.25/14.90 (v2 = 0) | v4 = 0))) & ! [v0: $i] : ( ~ (l1_orders_2(v0) = 0) | ~
% 102.25/14.90 $i(v0) | ? [v1: $i] : ? [v2: $i] : (m2_relset_1(v1, v2, v2) = 0 &
% 102.25/14.90 u1_struct_0(v0) = v2 & u1_orders_2(v0) = v1 & $i(v2) & $i(v1)))
% 102.25/14.90
% 102.25/14.90 (existence_l1_orders_2)
% 102.25/14.90 ? [v0: $i] : (l1_orders_2(v0) = 0 & $i(v0))
% 102.25/14.90
% 102.25/14.90 (t21_latsum_1)
% 102.25/14.91 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~ (k1_latsum_1(v0,
% 102.25/14.91 v2) = v3) | ~ (u1_struct_0(v0) = v1) | ~ $i(v2) | ~ $i(v0) | ? [v4:
% 102.25/14.91 int] : ? [v5: $i] : ? [v6: $i] : ? [v7: any] : ? [v8: $i] : ? [v9:
% 102.25/14.91 any] : ? [v10: $i] : (( ~ (v4 = 0) & l1_orders_2(v0) = v4) |
% 102.25/14.91 (v12_waybel_0(v6, v2) = v7 & k3_xboole_0(v1, v5) = v6 & k1_zfmisc_1(v5) =
% 102.25/14.91 v8 & m1_subset_1(v6, v8) = v9 & l1_orders_2(v2) = v4 & u1_struct_0(v2) =
% 102.25/14.91 v5 & u1_orders_2(v3) = v10 & $i(v10) & $i(v8) & $i(v6) & $i(v5) & ( ~
% 102.25/14.91 (v4 = 0) | ! [v11: $i] : ! [v12: $i] : ! [v13: $i] : ( ~ (v9 = 0) |
% 102.25/14.91 ~ (v7 = 0) | ~ (k4_tarski(v11, v12) = v13) | ~ $i(v12) | ~
% 102.25/14.91 $i(v11) | ? [v14: any] : ? [v15: any] : ? [v16: any] :
% 102.25/14.91 (r2_hidden(v13, v10) = v14 & r2_hidden(v12, v1) = v15 &
% 102.25/14.91 r2_hidden(v11, v1) = v16 & ( ~ (v15 = 0) | ~ (v14 = 0) | v16 =
% 102.25/14.91 0))))))) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i]
% 102.25/14.91 : ( ~ (u1_struct_0(v2) = v3) | ~ (u1_struct_0(v0) = v1) | ~ $i(v2) | ~
% 102.25/14.91 $i(v0) | ? [v4: int] : ? [v5: $i] : ? [v6: any] : ? [v7: $i] : ? [v8:
% 102.25/14.91 any] : ? [v9: $i] : ? [v10: $i] : (( ~ (v4 = 0) & l1_orders_2(v0) = v4)
% 102.25/14.91 | (v12_waybel_0(v5, v2) = v6 & k1_latsum_1(v0, v2) = v9 & k3_xboole_0(v1,
% 102.25/14.91 v3) = v5 & k1_zfmisc_1(v3) = v7 & m1_subset_1(v5, v7) = v8 &
% 102.25/14.91 l1_orders_2(v2) = v4 & u1_orders_2(v9) = v10 & $i(v10) & $i(v9) & $i(v7)
% 102.25/14.91 & $i(v5) & ( ~ (v4 = 0) | ! [v11: $i] : ! [v12: $i] : ! [v13: $i] : (
% 102.25/14.91 ~ (v8 = 0) | ~ (v6 = 0) | ~ (k4_tarski(v11, v12) = v13) | ~
% 102.25/14.91 $i(v12) | ~ $i(v11) | ? [v14: any] : ? [v15: any] : ? [v16: any]
% 102.25/14.91 : (r2_hidden(v13, v10) = v14 & r2_hidden(v12, v1) = v15 &
% 102.25/14.91 r2_hidden(v11, v1) = v16 & ( ~ (v15 = 0) | ~ (v14 = 0) | v16 =
% 102.25/14.91 0))))))) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~
% 102.25/14.91 (l1_orders_2(v2) = 0) | ~ (u1_struct_0(v0) = v1) | ~ $i(v2) | ~ $i(v0) |
% 102.25/14.91 ? [v3: any] : ? [v4: $i] : ? [v5: any] : ? [v6: $i] : ? [v7: any] : ?
% 102.25/14.91 [v8: $i] : ? [v9: $i] : (( ~ (v3 = 0) & l1_orders_2(v0) = v3) |
% 102.25/14.91 (v12_waybel_0(v4, v2) = v5 & k1_latsum_1(v0, v2) = v8 & k3_xboole_0(v1,
% 102.25/14.91 v3) = v4 & k1_zfmisc_1(v3) = v6 & m1_subset_1(v4, v6) = v7 &
% 102.25/14.91 u1_struct_0(v2) = v3 & u1_orders_2(v8) = v9 & $i(v9) & $i(v8) & $i(v6) &
% 102.25/14.91 $i(v4) & $i(v3) & ! [v10: $i] : ! [v11: $i] : ! [v12: $i] : ( ~ (v7 =
% 102.25/14.91 0) | ~ (v5 = 0) | ~ (k4_tarski(v10, v11) = v12) | ~ $i(v11) | ~
% 102.25/14.91 $i(v10) | ? [v13: any] : ? [v14: any] : ? [v15: any] :
% 102.25/14.91 (r2_hidden(v12, v9) = v13 & r2_hidden(v11, v1) = v14 & r2_hidden(v10,
% 102.25/14.91 v1) = v15 & ( ~ (v14 = 0) | ~ (v13 = 0) | v15 = 0)))))) & ! [v0:
% 102.25/14.91 $i] : ( ~ (l1_orders_2(v0) = 0) | ~ $i(v0) | ? [v1: $i] : (u1_struct_0(v0)
% 102.25/14.91 = v1 & $i(v1) & ! [v2: $i] : ! [v3: $i] : ( ~ (k1_latsum_1(v0, v2) = v3)
% 102.25/14.91 | ~ $i(v2) | ? [v4: any] : ? [v5: $i] : ? [v6: $i] : ? [v7: any] :
% 102.25/14.91 ? [v8: $i] : ? [v9: any] : ? [v10: $i] : (v12_waybel_0(v6, v2) = v7 &
% 102.25/14.91 k3_xboole_0(v1, v5) = v6 & k1_zfmisc_1(v5) = v8 & m1_subset_1(v6, v8)
% 102.25/14.91 = v9 & l1_orders_2(v2) = v4 & u1_struct_0(v2) = v5 & u1_orders_2(v3) =
% 102.25/14.91 v10 & $i(v10) & $i(v8) & $i(v6) & $i(v5) & ( ~ (v4 = 0) | ! [v11: $i]
% 102.33/14.91 : ! [v12: $i] : ! [v13: $i] : ( ~ (v9 = 0) | ~ (v7 = 0) | ~
% 102.33/14.91 (k4_tarski(v11, v12) = v13) | ~ $i(v12) | ~ $i(v11) | ? [v14:
% 102.33/14.91 any] : ? [v15: any] : ? [v16: any] : (r2_hidden(v13, v10) =
% 102.33/14.91 v14 & r2_hidden(v12, v1) = v15 & r2_hidden(v11, v1) = v16 & ( ~
% 102.33/14.91 (v15 = 0) | ~ (v14 = 0) | v16 = 0)))))) & ! [v2: $i] : !
% 102.33/14.91 [v3: $i] : ( ~ (u1_struct_0(v2) = v3) | ~ $i(v2) | ? [v4: any] : ? [v5:
% 102.33/14.91 $i] : ? [v6: any] : ? [v7: $i] : ? [v8: any] : ? [v9: $i] : ?
% 102.33/14.91 [v10: $i] : (v12_waybel_0(v5, v2) = v6 & k1_latsum_1(v0, v2) = v9 &
% 102.33/14.91 k3_xboole_0(v1, v3) = v5 & k1_zfmisc_1(v3) = v7 & m1_subset_1(v5, v7)
% 102.33/14.91 = v8 & l1_orders_2(v2) = v4 & u1_orders_2(v9) = v10 & $i(v10) & $i(v9)
% 102.33/14.91 & $i(v7) & $i(v5) & ( ~ (v4 = 0) | ! [v11: $i] : ! [v12: $i] : !
% 102.33/14.91 [v13: $i] : ( ~ (v8 = 0) | ~ (v6 = 0) | ~ (k4_tarski(v11, v12) =
% 102.33/14.91 v13) | ~ $i(v12) | ~ $i(v11) | ? [v14: any] : ? [v15: any] :
% 102.33/14.91 ? [v16: any] : (r2_hidden(v13, v10) = v14 & r2_hidden(v12, v1) =
% 102.33/14.91 v15 & r2_hidden(v11, v1) = v16 & ( ~ (v15 = 0) | ~ (v14 = 0) |
% 102.33/14.91 v16 = 0)))))) & ! [v2: $i] : ( ~ (l1_orders_2(v2) = 0) | ~
% 102.33/14.91 $i(v2) | ? [v3: $i] : ? [v4: $i] : ? [v5: any] : ? [v6: $i] : ?
% 102.33/14.91 [v7: any] : ? [v8: $i] : ? [v9: $i] : (v12_waybel_0(v4, v2) = v5 &
% 102.33/14.91 k1_latsum_1(v0, v2) = v8 & k3_xboole_0(v1, v3) = v4 & k1_zfmisc_1(v3)
% 102.33/14.91 = v6 & m1_subset_1(v4, v6) = v7 & u1_struct_0(v2) = v3 &
% 102.33/14.91 u1_orders_2(v8) = v9 & $i(v9) & $i(v8) & $i(v6) & $i(v4) & $i(v3) & !
% 102.33/14.91 [v10: $i] : ! [v11: $i] : ! [v12: $i] : ( ~ (v7 = 0) | ~ (v5 = 0) |
% 102.33/14.91 ~ (k4_tarski(v10, v11) = v12) | ~ $i(v11) | ~ $i(v10) | ? [v13:
% 102.33/14.91 any] : ? [v14: any] : ? [v15: any] : (r2_hidden(v12, v9) = v13 &
% 102.33/14.91 r2_hidden(v11, v1) = v14 & r2_hidden(v10, v1) = v15 & ( ~ (v14 =
% 102.33/14.91 0) | ~ (v13 = 0) | v15 = 0)))))))
% 102.33/14.91
% 102.33/14.91 (t23_latsum_1)
% 102.33/14.91 ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] : ? [v5:
% 102.33/14.91 $i] : ? [v6: $i] : ? [v7: $i] : ? [v8: $i] : ? [v9: int] : ? [v10: $i]
% 102.33/14.91 : ( ~ (v9 = 0) & v12_waybel_0(v6, v2) = 0 & k1_latsum_1(v0, v2) = v3 &
% 102.33/14.91 r1_orders_2(v3, v8, v10) = 0 & k3_xboole_0(v1, v5) = v6 & k1_zfmisc_1(v5) =
% 102.33/14.91 v7 & m1_subset_1(v10, v4) = 0 & m1_subset_1(v8, v4) = 0 & m1_subset_1(v6,
% 102.33/14.92 v7) = 0 & r2_hidden(v10, v1) = 0 & r2_hidden(v8, v1) = v9 &
% 102.34/14.92 l1_orders_2(v2) = 0 & l1_orders_2(v0) = 0 & u1_struct_0(v3) = v4 &
% 102.34/14.92 u1_struct_0(v2) = v5 & u1_struct_0(v0) = v1 & $i(v10) & $i(v8) & $i(v7) &
% 102.34/14.92 $i(v6) & $i(v5) & $i(v4) & $i(v3) & $i(v2) & $i(v1) & $i(v0))
% 102.34/14.92
% 102.34/14.92 (t2_subset)
% 102.34/14.92 ! [v0: $i] : ! [v1: $i] : ! [v2: int] : (v2 = 0 | ~ (r2_hidden(v0, v1) =
% 102.34/14.92 v2) | ~ $i(v1) | ~ $i(v0) | ? [v3: any] : ? [v4: any] :
% 102.34/14.92 (v1_xboole_0(v1) = v4 & m1_subset_1(v0, v1) = v3 & ( ~ (v3 = 0) | v4 = 0)))
% 102.34/14.92 & ! [v0: $i] : ! [v1: $i] : ( ~ (m1_subset_1(v0, v1) = 0) | ~ $i(v1) | ~
% 102.34/14.92 $i(v0) | ? [v2: any] : ? [v3: any] : (v1_xboole_0(v1) = v2 & r2_hidden(v0,
% 102.34/14.92 v1) = v3 & (v3 = 0 | v2 = 0)))
% 102.34/14.92
% 102.34/14.92 (function-axioms)
% 102.34/14.92 ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : !
% 102.34/14.92 [v3: $i] : ! [v4: $i] : (v1 = v0 | ~ (m2_relset_1(v4, v3, v2) = v1) | ~
% 102.34/14.92 (m2_relset_1(v4, v3, v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1:
% 102.34/14.92 MultipleValueBool] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : (v1 = v0 | ~
% 102.34/14.92 (m1_relset_1(v4, v3, v2) = v1) | ~ (m1_relset_1(v4, v3, v2) = v0)) & !
% 102.34/14.92 [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : ! [v3:
% 102.34/14.92 $i] : ! [v4: $i] : (v1 = v0 | ~ (r1_orders_2(v4, v3, v2) = v1) | ~
% 102.34/14.92 (r1_orders_2(v4, v3, v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1:
% 102.34/14.92 MultipleValueBool] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 102.34/14.92 (v12_waybel_0(v3, v2) = v1) | ~ (v12_waybel_0(v3, v2) = v0)) & ! [v0:
% 102.34/14.92 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : ! [v3: $i]
% 102.34/14.92 : (v1 = v0 | ~ (r1_tarski(v3, v2) = v1) | ~ (r1_tarski(v3, v2) = v0)) & !
% 102.34/14.92 [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 102.34/14.92 (k1_latsum_1(v3, v2) = v1) | ~ (k1_latsum_1(v3, v2) = v0)) & ! [v0: $i] :
% 102.34/14.92 ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ (k4_tarski(v3, v2) =
% 102.34/14.92 v1) | ~ (k4_tarski(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 102.34/14.92 $i] : ! [v3: $i] : (v1 = v0 | ~ (k3_xboole_0(v3, v2) = v1) | ~
% 102.34/14.92 (k3_xboole_0(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : !
% 102.34/14.92 [v3: $i] : (v1 = v0 | ~ (k2_zfmisc_1(v3, v2) = v1) | ~ (k2_zfmisc_1(v3, v2)
% 102.34/14.92 = v0)) & ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2:
% 102.34/14.92 $i] : ! [v3: $i] : (v1 = v0 | ~ (m1_subset_1(v3, v2) = v1) | ~
% 102.34/14.92 (m1_subset_1(v3, v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1:
% 102.34/14.92 MultipleValueBool] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 102.34/14.92 (r2_hidden(v3, v2) = v1) | ~ (r2_hidden(v3, v2) = v0)) & ! [v0: $i] : !
% 102.34/14.92 [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ (g1_orders_2(v3, v2) =
% 102.34/14.92 v1) | ~ (g1_orders_2(v3, v2) = v0)) & ! [v0: MultipleValueBool] : !
% 102.34/14.92 [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~ (v1_xboole_0(v2) = v1) |
% 102.34/14.92 ~ (v1_xboole_0(v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1:
% 102.34/14.92 MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~ (l1_struct_0(v2) = v1) | ~
% 102.34/14.92 (l1_struct_0(v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0
% 102.34/14.92 | ~ (k1_zfmisc_1(v2) = v1) | ~ (k1_zfmisc_1(v2) = v0)) & ! [v0:
% 102.34/14.92 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 |
% 102.34/14.92 ~ (v1_relat_1(v2) = v1) | ~ (v1_relat_1(v2) = v0)) & ! [v0:
% 102.34/14.92 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 |
% 102.34/14.92 ~ (v1_orders_2(v2) = v1) | ~ (v1_orders_2(v2) = v0)) & ! [v0:
% 102.34/14.92 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 |
% 102.34/14.92 ~ (l1_orders_2(v2) = v1) | ~ (l1_orders_2(v2) = v0)) & ! [v0: $i] : !
% 102.34/14.92 [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (u1_struct_0(v2) = v1) | ~
% 102.34/14.92 (u1_struct_0(v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0
% 102.34/14.92 | ~ (u1_orders_2(v2) = v1) | ~ (u1_orders_2(v2) = v0))
% 102.34/14.92
% 102.34/14.92 Further assumptions not needed in the proof:
% 102.34/14.92 --------------------------------------------
% 102.34/14.92 cc1_relset_1, commutativity_k3_xboole_0, dt_g1_orders_2, dt_k1_xboole_0,
% 102.34/14.92 dt_k1_zfmisc_1, dt_k2_zfmisc_1, dt_k3_xboole_0, dt_k4_tarski, dt_l1_orders_2,
% 102.34/14.92 dt_l1_struct_0, dt_m1_relset_1, dt_m1_subset_1, dt_m2_relset_1, dt_u1_struct_0,
% 102.34/14.92 existence_l1_struct_0, existence_m1_relset_1, existence_m1_subset_1,
% 102.34/14.92 existence_m2_relset_1, fc1_xboole_0, free_g1_orders_2, idempotence_k3_xboole_0,
% 102.34/14.92 rc1_xboole_0, rc2_xboole_0, redefinition_m2_relset_1, reflexivity_r1_tarski,
% 102.34/14.92 t1_subset, t2_boole, t3_subset, t4_subset, t5_subset, t6_boole, t7_boole,
% 102.34/14.92 t8_boole
% 102.34/14.92
% 102.34/14.92 Those formulas are unsatisfiable:
% 102.34/14.92 ---------------------------------
% 102.34/14.92
% 102.34/14.92 Begin of proof
% 102.34/14.93 |
% 102.34/14.93 | ALPHA: (abstractness_v1_orders_2) implies:
% 102.34/14.93 | (1) ! [v0: $i] : ( ~ (l1_orders_2(v0) = 0) | ~ $i(v0) | ? [v1: any] : ?
% 102.34/14.93 | [v2: $i] : ? [v3: $i] : ? [v4: $i] : (v1_orders_2(v0) = v1 &
% 102.34/14.93 | u1_struct_0(v0) = v2 & u1_orders_2(v0) = v3 & g1_orders_2(v2, v3) =
% 102.34/14.93 | v4 & $i(v4) & $i(v3) & $i(v2) & ( ~ (v1 = 0) | v4 = v0)))
% 102.34/14.93 | (2) ! [v0: $i] : ! [v1: $i] : ( ~ (u1_struct_0(v0) = v1) | ~ $i(v0) | ?
% 102.34/14.93 | [v2: any] : ? [v3: any] : ? [v4: $i] : ? [v5: $i] :
% 102.34/14.93 | (v1_orders_2(v0) = v3 & l1_orders_2(v0) = v2 & u1_orders_2(v0) = v4 &
% 102.34/14.93 | g1_orders_2(v1, v4) = v5 & $i(v5) & $i(v4) & ( ~ (v3 = 0) | ~ (v2
% 102.34/14.93 | = 0) | v5 = v0)))
% 102.34/14.93 |
% 102.34/14.93 | ALPHA: (antisymmetry_r2_hidden) implies:
% 102.34/14.93 | (3) ! [v0: $i] : ! [v1: $i] : ( ~ (r2_hidden(v1, v0) = 0) | ~ $i(v1) |
% 102.34/14.93 | ~ $i(v0) | ? [v2: int] : ( ~ (v2 = 0) & r2_hidden(v0, v1) = v2))
% 102.34/14.93 |
% 102.34/14.93 | ALPHA: (d9_orders_2) implies:
% 102.34/14.94 | (4) ! [v0: $i] : ( ~ (l1_orders_2(v0) = 0) | ~ $i(v0) | ? [v1: $i] : ?
% 102.34/14.94 | [v2: $i] : (u1_struct_0(v0) = v1 & u1_orders_2(v0) = v2 & $i(v2) &
% 102.34/14.94 | $i(v1) & ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ( ~
% 102.34/14.94 | (k4_tarski(v3, v4) = v5) | ~ (m1_subset_1(v3, v1) = 0) | ~
% 102.34/14.94 | $i(v4) | ~ $i(v3) | ? [v6: any] : ? [v7: any] : ? [v8: any] :
% 102.34/14.94 | (r1_orders_2(v0, v3, v4) = v7 & m1_subset_1(v4, v1) = v6 &
% 102.34/14.94 | r2_hidden(v5, v2) = v8 & ( ~ (v6 = 0) | (( ~ (v8 = 0) | v7 = 0)
% 102.34/14.94 | & ( ~ (v7 = 0) | v8 = 0))))) & ! [v3: $i] : ! [v4: $i] :
% 102.34/14.94 | ! [v5: any] : ( ~ (r1_orders_2(v0, v3, v4) = v5) | ~
% 102.34/14.94 | (m1_subset_1(v3, v1) = 0) | ~ $i(v4) | ~ $i(v3) | ? [v6: any]
% 102.34/14.94 | : ? [v7: $i] : ? [v8: any] : (k4_tarski(v3, v4) = v7 &
% 102.34/14.94 | m1_subset_1(v4, v1) = v6 & r2_hidden(v7, v2) = v8 & $i(v7) & (
% 102.34/14.94 | ~ (v6 = 0) | (( ~ (v8 = 0) | v5 = 0) & ( ~ (v5 = 0) | v8 =
% 102.34/14.94 | 0))))) & ! [v3: $i] : ! [v4: $i] : ( ~ (m1_subset_1(v4,
% 102.34/14.94 | v1) = 0) | ~ (m1_subset_1(v3, v1) = 0) | ~ $i(v4) | ~
% 102.34/14.94 | $i(v3) | ? [v5: any] : ? [v6: $i] : ? [v7: any] :
% 102.34/14.94 | (k4_tarski(v3, v4) = v6 & r1_orders_2(v0, v3, v4) = v5 &
% 102.34/14.94 | r2_hidden(v6, v2) = v7 & $i(v6) & ( ~ (v7 = 0) | v5 = 0) & ( ~
% 102.34/14.94 | (v5 = 0) | v7 = 0)))))
% 102.34/14.94 | (5) ! [v0: $i] : ! [v1: $i] : ( ~ (u1_struct_0(v0) = v1) | ~ $i(v0) | ?
% 102.34/14.94 | [v2: any] : ? [v3: $i] : (l1_orders_2(v0) = v2 & u1_orders_2(v0) =
% 102.34/14.94 | v3 & $i(v3) & ( ~ (v2 = 0) | ( ! [v4: $i] : ! [v5: $i] : ! [v6:
% 102.34/14.94 | $i] : ( ~ (k4_tarski(v4, v5) = v6) | ~ (m1_subset_1(v4, v1)
% 102.34/14.94 | = 0) | ~ $i(v5) | ~ $i(v4) | ? [v7: any] : ? [v8: any]
% 102.34/14.94 | : ? [v9: any] : (r1_orders_2(v0, v4, v5) = v8 &
% 102.34/14.94 | m1_subset_1(v5, v1) = v7 & r2_hidden(v6, v3) = v9 & ( ~ (v7
% 102.34/14.94 | = 0) | (( ~ (v9 = 0) | v8 = 0) & ( ~ (v8 = 0) | v9 =
% 102.34/14.94 | 0))))) & ! [v4: $i] : ! [v5: $i] : ! [v6: any] : (
% 102.34/14.94 | ~ (r1_orders_2(v0, v4, v5) = v6) | ~ (m1_subset_1(v4, v1) =
% 102.34/14.94 | 0) | ~ $i(v5) | ~ $i(v4) | ? [v7: any] : ? [v8: $i] :
% 102.34/14.94 | ? [v9: any] : (k4_tarski(v4, v5) = v8 & m1_subset_1(v5, v1) =
% 102.34/14.94 | v7 & r2_hidden(v8, v3) = v9 & $i(v8) & ( ~ (v7 = 0) | (( ~
% 102.34/14.94 | (v9 = 0) | v6 = 0) & ( ~ (v6 = 0) | v9 = 0))))) & !
% 102.34/14.94 | [v4: $i] : ! [v5: $i] : ( ~ (m1_subset_1(v5, v1) = 0) | ~
% 102.34/14.94 | (m1_subset_1(v4, v1) = 0) | ~ $i(v5) | ~ $i(v4) | ? [v6:
% 102.34/14.94 | any] : ? [v7: $i] : ? [v8: any] : (k4_tarski(v4, v5) = v7
% 102.34/14.94 | & r1_orders_2(v0, v4, v5) = v6 & r2_hidden(v7, v3) = v8 &
% 102.34/14.94 | $i(v7) & ( ~ (v8 = 0) | v6 = 0) & ( ~ (v6 = 0) | v8 =
% 102.34/14.94 | 0)))))))
% 102.34/14.94 |
% 102.34/14.94 | ALPHA: (dt_u1_orders_2) implies:
% 102.34/14.94 | (6) ! [v0: $i] : ( ~ (l1_orders_2(v0) = 0) | ~ $i(v0) | ? [v1: $i] : ?
% 102.34/14.94 | [v2: $i] : (m2_relset_1(v1, v2, v2) = 0 & u1_struct_0(v0) = v2 &
% 102.34/14.94 | u1_orders_2(v0) = v1 & $i(v2) & $i(v1)))
% 102.34/14.94 | (7) ! [v0: $i] : ! [v1: $i] : ( ~ (u1_struct_0(v0) = v1) | ~ $i(v0) | ?
% 102.34/14.94 | [v2: any] : ? [v3: $i] : ? [v4: any] : (m2_relset_1(v3, v1, v1) =
% 102.34/14.94 | v4 & l1_orders_2(v0) = v2 & u1_orders_2(v0) = v3 & $i(v3) & ( ~ (v2
% 102.34/14.94 | = 0) | v4 = 0)))
% 102.34/14.94 |
% 102.34/14.94 | ALPHA: (t21_latsum_1) implies:
% 102.34/14.95 | (8) ! [v0: $i] : ( ~ (l1_orders_2(v0) = 0) | ~ $i(v0) | ? [v1: $i] :
% 102.34/14.95 | (u1_struct_0(v0) = v1 & $i(v1) & ! [v2: $i] : ! [v3: $i] : ( ~
% 102.34/14.95 | (k1_latsum_1(v0, v2) = v3) | ~ $i(v2) | ? [v4: any] : ? [v5:
% 102.34/14.95 | $i] : ? [v6: $i] : ? [v7: any] : ? [v8: $i] : ? [v9: any] :
% 102.34/14.95 | ? [v10: $i] : (v12_waybel_0(v6, v2) = v7 & k3_xboole_0(v1, v5) =
% 102.34/14.95 | v6 & k1_zfmisc_1(v5) = v8 & m1_subset_1(v6, v8) = v9 &
% 102.34/14.95 | l1_orders_2(v2) = v4 & u1_struct_0(v2) = v5 & u1_orders_2(v3) =
% 102.34/14.95 | v10 & $i(v10) & $i(v8) & $i(v6) & $i(v5) & ( ~ (v4 = 0) | !
% 102.34/14.95 | [v11: $i] : ! [v12: $i] : ! [v13: $i] : ( ~ (v9 = 0) | ~
% 102.34/14.95 | (v7 = 0) | ~ (k4_tarski(v11, v12) = v13) | ~ $i(v12) | ~
% 102.34/14.95 | $i(v11) | ? [v14: any] : ? [v15: any] : ? [v16: any] :
% 102.34/14.95 | (r2_hidden(v13, v10) = v14 & r2_hidden(v12, v1) = v15 &
% 102.34/14.95 | r2_hidden(v11, v1) = v16 & ( ~ (v15 = 0) | ~ (v14 = 0) |
% 102.34/14.95 | v16 = 0)))))) & ! [v2: $i] : ! [v3: $i] : ( ~
% 102.34/14.95 | (u1_struct_0(v2) = v3) | ~ $i(v2) | ? [v4: any] : ? [v5: $i] :
% 102.34/14.95 | ? [v6: any] : ? [v7: $i] : ? [v8: any] : ? [v9: $i] : ?
% 102.34/14.95 | [v10: $i] : (v12_waybel_0(v5, v2) = v6 & k1_latsum_1(v0, v2) = v9
% 102.34/14.95 | & k3_xboole_0(v1, v3) = v5 & k1_zfmisc_1(v3) = v7 &
% 102.34/14.95 | m1_subset_1(v5, v7) = v8 & l1_orders_2(v2) = v4 &
% 102.34/14.95 | u1_orders_2(v9) = v10 & $i(v10) & $i(v9) & $i(v7) & $i(v5) & (
% 102.34/14.95 | ~ (v4 = 0) | ! [v11: $i] : ! [v12: $i] : ! [v13: $i] : ( ~
% 102.34/14.95 | (v8 = 0) | ~ (v6 = 0) | ~ (k4_tarski(v11, v12) = v13) |
% 102.34/14.95 | ~ $i(v12) | ~ $i(v11) | ? [v14: any] : ? [v15: any] : ?
% 102.34/14.95 | [v16: any] : (r2_hidden(v13, v10) = v14 & r2_hidden(v12,
% 102.34/14.95 | v1) = v15 & r2_hidden(v11, v1) = v16 & ( ~ (v15 = 0) |
% 102.34/14.95 | ~ (v14 = 0) | v16 = 0)))))) & ! [v2: $i] : ( ~
% 102.34/14.95 | (l1_orders_2(v2) = 0) | ~ $i(v2) | ? [v3: $i] : ? [v4: $i] :
% 102.34/14.95 | ? [v5: any] : ? [v6: $i] : ? [v7: any] : ? [v8: $i] : ? [v9:
% 102.34/14.95 | $i] : (v12_waybel_0(v4, v2) = v5 & k1_latsum_1(v0, v2) = v8 &
% 102.34/14.95 | k3_xboole_0(v1, v3) = v4 & k1_zfmisc_1(v3) = v6 &
% 102.34/14.95 | m1_subset_1(v4, v6) = v7 & u1_struct_0(v2) = v3 &
% 102.34/14.95 | u1_orders_2(v8) = v9 & $i(v9) & $i(v8) & $i(v6) & $i(v4) &
% 102.34/14.95 | $i(v3) & ! [v10: $i] : ! [v11: $i] : ! [v12: $i] : ( ~ (v7 =
% 102.34/14.95 | 0) | ~ (v5 = 0) | ~ (k4_tarski(v10, v11) = v12) | ~
% 102.34/14.95 | $i(v11) | ~ $i(v10) | ? [v13: any] : ? [v14: any] : ?
% 102.34/14.95 | [v15: any] : (r2_hidden(v12, v9) = v13 & r2_hidden(v11, v1) =
% 102.34/14.95 | v14 & r2_hidden(v10, v1) = v15 & ( ~ (v14 = 0) | ~ (v13 =
% 102.34/14.95 | 0) | v15 = 0)))))))
% 102.34/14.96 | (9) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ (l1_orders_2(v2) = 0) |
% 102.34/14.96 | ~ (u1_struct_0(v0) = v1) | ~ $i(v2) | ~ $i(v0) | ? [v3: any] : ?
% 102.34/14.96 | [v4: $i] : ? [v5: any] : ? [v6: $i] : ? [v7: any] : ? [v8: $i] :
% 102.34/14.96 | ? [v9: $i] : (( ~ (v3 = 0) & l1_orders_2(v0) = v3) |
% 102.34/14.96 | (v12_waybel_0(v4, v2) = v5 & k1_latsum_1(v0, v2) = v8 &
% 102.34/14.96 | k3_xboole_0(v1, v3) = v4 & k1_zfmisc_1(v3) = v6 & m1_subset_1(v4,
% 102.34/14.96 | v6) = v7 & u1_struct_0(v2) = v3 & u1_orders_2(v8) = v9 & $i(v9)
% 102.34/14.96 | & $i(v8) & $i(v6) & $i(v4) & $i(v3) & ! [v10: $i] : ! [v11: $i]
% 102.34/14.96 | : ! [v12: $i] : ( ~ (v7 = 0) | ~ (v5 = 0) | ~ (k4_tarski(v10,
% 102.34/14.96 | v11) = v12) | ~ $i(v11) | ~ $i(v10) | ? [v13: any] : ?
% 102.34/14.96 | [v14: any] : ? [v15: any] : (r2_hidden(v12, v9) = v13 &
% 102.34/14.96 | r2_hidden(v11, v1) = v14 & r2_hidden(v10, v1) = v15 & ( ~
% 102.34/14.96 | (v14 = 0) | ~ (v13 = 0) | v15 = 0))))))
% 102.34/14.96 | (10) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~
% 102.34/14.96 | (u1_struct_0(v2) = v3) | ~ (u1_struct_0(v0) = v1) | ~ $i(v2) | ~
% 102.34/14.96 | $i(v0) | ? [v4: int] : ? [v5: $i] : ? [v6: any] : ? [v7: $i] :
% 102.34/14.96 | ? [v8: any] : ? [v9: $i] : ? [v10: $i] : (( ~ (v4 = 0) &
% 102.34/14.96 | l1_orders_2(v0) = v4) | (v12_waybel_0(v5, v2) = v6 &
% 102.34/14.96 | k1_latsum_1(v0, v2) = v9 & k3_xboole_0(v1, v3) = v5 &
% 102.34/14.96 | k1_zfmisc_1(v3) = v7 & m1_subset_1(v5, v7) = v8 &
% 102.34/14.96 | l1_orders_2(v2) = v4 & u1_orders_2(v9) = v10 & $i(v10) & $i(v9)
% 102.34/14.96 | & $i(v7) & $i(v5) & ( ~ (v4 = 0) | ! [v11: $i] : ! [v12: $i] :
% 102.34/14.96 | ! [v13: $i] : ( ~ (v8 = 0) | ~ (v6 = 0) | ~ (k4_tarski(v11,
% 102.34/14.96 | v12) = v13) | ~ $i(v12) | ~ $i(v11) | ? [v14: any] :
% 102.34/14.96 | ? [v15: any] : ? [v16: any] : (r2_hidden(v13, v10) = v14 &
% 102.34/14.96 | r2_hidden(v12, v1) = v15 & r2_hidden(v11, v1) = v16 & ( ~
% 102.34/14.96 | (v15 = 0) | ~ (v14 = 0) | v16 = 0)))))))
% 102.34/14.96 | (11) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~
% 102.34/14.96 | (k1_latsum_1(v0, v2) = v3) | ~ (u1_struct_0(v0) = v1) | ~ $i(v2) |
% 102.34/14.96 | ~ $i(v0) | ? [v4: int] : ? [v5: $i] : ? [v6: $i] : ? [v7: any]
% 102.34/14.96 | : ? [v8: $i] : ? [v9: any] : ? [v10: $i] : (( ~ (v4 = 0) &
% 102.34/14.96 | l1_orders_2(v0) = v4) | (v12_waybel_0(v6, v2) = v7 &
% 102.34/14.96 | k3_xboole_0(v1, v5) = v6 & k1_zfmisc_1(v5) = v8 &
% 102.34/14.96 | m1_subset_1(v6, v8) = v9 & l1_orders_2(v2) = v4 &
% 102.34/14.96 | u1_struct_0(v2) = v5 & u1_orders_2(v3) = v10 & $i(v10) & $i(v8)
% 102.34/14.96 | & $i(v6) & $i(v5) & ( ~ (v4 = 0) | ! [v11: $i] : ! [v12: $i] :
% 102.34/14.96 | ! [v13: $i] : ( ~ (v9 = 0) | ~ (v7 = 0) | ~ (k4_tarski(v11,
% 102.34/14.96 | v12) = v13) | ~ $i(v12) | ~ $i(v11) | ? [v14: any] :
% 102.34/14.96 | ? [v15: any] : ? [v16: any] : (r2_hidden(v13, v10) = v14 &
% 102.34/14.96 | r2_hidden(v12, v1) = v15 & r2_hidden(v11, v1) = v16 & ( ~
% 102.34/14.96 | (v15 = 0) | ~ (v14 = 0) | v16 = 0)))))))
% 102.34/14.96 |
% 102.34/14.96 | ALPHA: (t2_subset) implies:
% 102.34/14.96 | (12) ! [v0: $i] : ! [v1: $i] : ! [v2: int] : (v2 = 0 | ~ (r2_hidden(v0,
% 102.34/14.96 | v1) = v2) | ~ $i(v1) | ~ $i(v0) | ? [v3: any] : ? [v4: any]
% 102.34/14.96 | : (v1_xboole_0(v1) = v4 & m1_subset_1(v0, v1) = v3 & ( ~ (v3 = 0) |
% 102.34/14.96 | v4 = 0)))
% 102.34/14.96 |
% 102.34/14.96 | ALPHA: (function-axioms) implies:
% 102.34/14.96 | (13) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~
% 102.34/14.96 | (u1_orders_2(v2) = v1) | ~ (u1_orders_2(v2) = v0))
% 102.34/14.96 | (14) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~
% 102.34/14.96 | (u1_struct_0(v2) = v1) | ~ (u1_struct_0(v2) = v0))
% 102.34/14.96 | (15) ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i]
% 102.34/14.96 | : (v1 = v0 | ~ (l1_orders_2(v2) = v1) | ~ (l1_orders_2(v2) = v0))
% 102.34/14.97 | (16) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~
% 102.34/14.97 | (k1_zfmisc_1(v2) = v1) | ~ (k1_zfmisc_1(v2) = v0))
% 102.34/14.97 | (17) ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i]
% 102.34/14.97 | : ! [v3: $i] : (v1 = v0 | ~ (r2_hidden(v3, v2) = v1) | ~
% 102.34/14.97 | (r2_hidden(v3, v2) = v0))
% 102.34/14.97 | (18) ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i]
% 102.34/14.97 | : ! [v3: $i] : (v1 = v0 | ~ (m1_subset_1(v3, v2) = v1) | ~
% 102.34/14.97 | (m1_subset_1(v3, v2) = v0))
% 102.34/14.97 | (19) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 102.34/14.97 | (k3_xboole_0(v3, v2) = v1) | ~ (k3_xboole_0(v3, v2) = v0))
% 102.34/14.97 | (20) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 102.34/14.97 | (k4_tarski(v3, v2) = v1) | ~ (k4_tarski(v3, v2) = v0))
% 102.34/14.97 | (21) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 102.34/14.97 | (k1_latsum_1(v3, v2) = v1) | ~ (k1_latsum_1(v3, v2) = v0))
% 102.34/14.97 | (22) ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i]
% 102.34/14.97 | : ! [v3: $i] : (v1 = v0 | ~ (v12_waybel_0(v3, v2) = v1) | ~
% 102.34/14.97 | (v12_waybel_0(v3, v2) = v0))
% 102.34/14.97 | (23) ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i]
% 102.34/14.97 | : ! [v3: $i] : ! [v4: $i] : (v1 = v0 | ~ (r1_orders_2(v4, v3, v2) =
% 102.34/14.97 | v1) | ~ (r1_orders_2(v4, v3, v2) = v0))
% 102.34/14.97 |
% 102.34/14.97 | DELTA: instantiating (existence_l1_orders_2) with fresh symbol all_30_0 gives:
% 102.34/14.97 | (24) l1_orders_2(all_30_0) = 0 & $i(all_30_0)
% 102.34/14.97 |
% 102.34/14.97 | ALPHA: (24) implies:
% 102.34/14.97 | (25) $i(all_30_0)
% 102.34/14.97 | (26) l1_orders_2(all_30_0) = 0
% 102.34/14.97 |
% 102.34/14.97 | DELTA: instantiating (t23_latsum_1) with fresh symbols all_39_0, all_39_1,
% 102.34/14.97 | all_39_2, all_39_3, all_39_4, all_39_5, all_39_6, all_39_7, all_39_8,
% 102.34/14.97 | all_39_9, all_39_10 gives:
% 102.34/14.97 | (27) ~ (all_39_1 = 0) & v12_waybel_0(all_39_4, all_39_8) = 0 &
% 102.34/14.97 | k1_latsum_1(all_39_10, all_39_8) = all_39_7 & r1_orders_2(all_39_7,
% 102.34/14.97 | all_39_2, all_39_0) = 0 & k3_xboole_0(all_39_9, all_39_5) = all_39_4
% 102.34/14.97 | & k1_zfmisc_1(all_39_5) = all_39_3 & m1_subset_1(all_39_0, all_39_6) =
% 102.34/14.97 | 0 & m1_subset_1(all_39_2, all_39_6) = 0 & m1_subset_1(all_39_4,
% 102.34/14.97 | all_39_3) = 0 & r2_hidden(all_39_0, all_39_9) = 0 &
% 102.34/14.97 | r2_hidden(all_39_2, all_39_9) = all_39_1 & l1_orders_2(all_39_8) = 0 &
% 102.34/14.97 | l1_orders_2(all_39_10) = 0 & u1_struct_0(all_39_7) = all_39_6 &
% 102.34/14.97 | u1_struct_0(all_39_8) = all_39_5 & u1_struct_0(all_39_10) = all_39_9 &
% 102.34/14.97 | $i(all_39_0) & $i(all_39_2) & $i(all_39_3) & $i(all_39_4) &
% 102.34/14.97 | $i(all_39_5) & $i(all_39_6) & $i(all_39_7) & $i(all_39_8) &
% 102.34/14.97 | $i(all_39_9) & $i(all_39_10)
% 102.34/14.97 |
% 102.34/14.97 | ALPHA: (27) implies:
% 102.34/14.97 | (28) ~ (all_39_1 = 0)
% 102.34/14.97 | (29) $i(all_39_10)
% 102.34/14.97 | (30) $i(all_39_9)
% 102.34/14.97 | (31) $i(all_39_8)
% 102.34/14.97 | (32) $i(all_39_7)
% 102.34/14.97 | (33) $i(all_39_2)
% 102.34/14.97 | (34) $i(all_39_0)
% 102.34/14.97 | (35) u1_struct_0(all_39_10) = all_39_9
% 102.34/14.97 | (36) u1_struct_0(all_39_8) = all_39_5
% 102.34/14.97 | (37) u1_struct_0(all_39_7) = all_39_6
% 102.34/14.97 | (38) l1_orders_2(all_39_10) = 0
% 102.34/14.97 | (39) l1_orders_2(all_39_8) = 0
% 102.34/14.97 | (40) r2_hidden(all_39_2, all_39_9) = all_39_1
% 102.34/14.97 | (41) r2_hidden(all_39_0, all_39_9) = 0
% 102.34/14.97 | (42) m1_subset_1(all_39_4, all_39_3) = 0
% 102.34/14.97 | (43) m1_subset_1(all_39_2, all_39_6) = 0
% 102.34/14.97 | (44) m1_subset_1(all_39_0, all_39_6) = 0
% 102.34/14.97 | (45) k1_zfmisc_1(all_39_5) = all_39_3
% 102.34/14.97 | (46) k3_xboole_0(all_39_9, all_39_5) = all_39_4
% 102.34/14.98 | (47) r1_orders_2(all_39_7, all_39_2, all_39_0) = 0
% 102.34/14.98 | (48) k1_latsum_1(all_39_10, all_39_8) = all_39_7
% 102.34/14.98 | (49) v12_waybel_0(all_39_4, all_39_8) = 0
% 102.34/14.98 |
% 102.34/14.98 | GROUND_INST: instantiating (10) with all_39_10, all_39_9, all_39_10, all_39_9,
% 102.34/14.98 | simplifying with (29), (35) gives:
% 102.34/14.98 | (50) ? [v0: int] : ? [v1: $i] : ? [v2: any] : ? [v3: $i] : ? [v4: any]
% 102.34/14.98 | : ? [v5: $i] : ? [v6: $i] : (( ~ (v0 = 0) & l1_orders_2(all_39_10) =
% 102.34/14.98 | v0) | (v12_waybel_0(v1, all_39_10) = v2 & k1_latsum_1(all_39_10,
% 102.34/14.98 | all_39_10) = v5 & k3_xboole_0(all_39_9, all_39_9) = v1 &
% 102.34/14.98 | k1_zfmisc_1(all_39_9) = v3 & m1_subset_1(v1, v3) = v4 &
% 102.34/14.98 | l1_orders_2(all_39_10) = v0 & u1_orders_2(v5) = v6 & $i(v6) &
% 102.34/14.98 | $i(v5) & $i(v3) & $i(v1) & ( ~ (v0 = 0) | ! [v7: $i] : ! [v8:
% 102.34/14.98 | $i] : ! [v9: $i] : ( ~ (v4 = 0) | ~ (v2 = 0) | ~
% 102.34/14.98 | (k4_tarski(v7, v8) = v9) | ~ $i(v8) | ~ $i(v7) | ? [v10:
% 102.34/14.98 | any] : ? [v11: any] : ? [v12: any] : (r2_hidden(v9, v6) =
% 102.34/14.98 | v10 & r2_hidden(v8, all_39_9) = v11 & r2_hidden(v7,
% 102.34/14.98 | all_39_9) = v12 & ( ~ (v11 = 0) | ~ (v10 = 0) | v12 =
% 102.34/14.98 | 0))))))
% 102.34/14.98 |
% 102.34/14.98 | GROUND_INST: instantiating (2) with all_39_10, all_39_9, simplifying with
% 102.34/14.98 | (29), (35) gives:
% 102.34/14.98 | (51) ? [v0: any] : ? [v1: any] : ? [v2: $i] : ? [v3: $i] :
% 102.34/14.98 | (v1_orders_2(all_39_10) = v1 & l1_orders_2(all_39_10) = v0 &
% 102.34/14.98 | u1_orders_2(all_39_10) = v2 & g1_orders_2(all_39_9, v2) = v3 &
% 102.34/14.98 | $i(v3) & $i(v2) & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = all_39_10))
% 102.34/14.98 |
% 102.34/14.99 | GROUND_INST: instantiating (7) with all_39_10, all_39_9, simplifying with
% 102.34/14.99 | (29), (35) gives:
% 102.34/14.99 | (52) ? [v0: any] : ? [v1: $i] : ? [v2: any] : (m2_relset_1(v1, all_39_9,
% 102.34/14.99 | all_39_9) = v2 & l1_orders_2(all_39_10) = v0 &
% 102.34/14.99 | u1_orders_2(all_39_10) = v1 & $i(v1) & ( ~ (v0 = 0) | v2 = 0))
% 102.34/14.99 |
% 102.34/14.99 | GROUND_INST: instantiating (5) with all_39_10, all_39_9, simplifying with
% 102.34/14.99 | (29), (35) gives:
% 102.34/14.99 | (53) ? [v0: any] : ? [v1: $i] : (l1_orders_2(all_39_10) = v0 &
% 102.34/14.99 | u1_orders_2(all_39_10) = v1 & $i(v1) & ( ~ (v0 = 0) | ( ! [v2: $i] :
% 102.34/14.99 | ! [v3: $i] : ! [v4: $i] : ( ~ (k4_tarski(v2, v3) = v4) | ~
% 102.34/14.99 | (m1_subset_1(v2, all_39_9) = 0) | ~ $i(v3) | ~ $i(v2) | ?
% 102.34/14.99 | [v5: any] : ? [v6: any] : ? [v7: any] :
% 102.34/14.99 | (r1_orders_2(all_39_10, v2, v3) = v6 & m1_subset_1(v3,
% 102.34/14.99 | all_39_9) = v5 & r2_hidden(v4, v1) = v7 & ( ~ (v5 = 0) |
% 102.34/14.99 | (( ~ (v7 = 0) | v6 = 0) & ( ~ (v6 = 0) | v7 = 0))))) & !
% 102.34/14.99 | [v2: $i] : ! [v3: $i] : ! [v4: any] : ( ~
% 102.34/14.99 | (r1_orders_2(all_39_10, v2, v3) = v4) | ~ (m1_subset_1(v2,
% 102.34/14.99 | all_39_9) = 0) | ~ $i(v3) | ~ $i(v2) | ? [v5: any] : ?
% 102.34/14.99 | [v6: $i] : ? [v7: any] : (k4_tarski(v2, v3) = v6 &
% 102.34/14.99 | m1_subset_1(v3, all_39_9) = v5 & r2_hidden(v6, v1) = v7 &
% 102.34/14.99 | $i(v6) & ( ~ (v5 = 0) | (( ~ (v7 = 0) | v4 = 0) & ( ~ (v4 =
% 102.34/14.99 | 0) | v7 = 0))))) & ! [v2: $i] : ! [v3: $i] : ( ~
% 102.34/14.99 | (m1_subset_1(v3, all_39_9) = 0) | ~ (m1_subset_1(v2,
% 102.34/14.99 | all_39_9) = 0) | ~ $i(v3) | ~ $i(v2) | ? [v4: any] : ?
% 102.34/14.99 | [v5: $i] : ? [v6: any] : (k4_tarski(v2, v3) = v5 &
% 102.34/14.99 | r1_orders_2(all_39_10, v2, v3) = v4 & r2_hidden(v5, v1) = v6
% 102.34/14.99 | & $i(v5) & ( ~ (v6 = 0) | v4 = 0) & ( ~ (v4 = 0) | v6 =
% 102.34/14.99 | 0))))))
% 102.34/14.99 |
% 102.34/14.99 | GROUND_INST: instantiating (10) with all_39_8, all_39_5, all_39_8, all_39_5,
% 102.34/14.99 | simplifying with (31), (36) gives:
% 102.34/14.99 | (54) ? [v0: int] : ? [v1: $i] : ? [v2: any] : ? [v3: $i] : ? [v4: any]
% 102.34/14.99 | : ? [v5: $i] : ? [v6: $i] : (( ~ (v0 = 0) & l1_orders_2(all_39_8) =
% 102.34/14.99 | v0) | (v12_waybel_0(v1, all_39_8) = v2 & k1_latsum_1(all_39_8,
% 102.34/14.99 | all_39_8) = v5 & k3_xboole_0(all_39_5, all_39_5) = v1 &
% 102.34/14.99 | k1_zfmisc_1(all_39_5) = v3 & m1_subset_1(v1, v3) = v4 &
% 102.34/14.99 | l1_orders_2(all_39_8) = v0 & u1_orders_2(v5) = v6 & $i(v6) &
% 102.34/14.99 | $i(v5) & $i(v3) & $i(v1) & ( ~ (v0 = 0) | ! [v7: $i] : ! [v8:
% 102.34/14.99 | $i] : ! [v9: $i] : ( ~ (v4 = 0) | ~ (v2 = 0) | ~
% 102.34/14.99 | (k4_tarski(v7, v8) = v9) | ~ $i(v8) | ~ $i(v7) | ? [v10:
% 102.34/14.99 | any] : ? [v11: any] : ? [v12: any] : (r2_hidden(v9, v6) =
% 102.34/14.99 | v10 & r2_hidden(v8, all_39_5) = v11 & r2_hidden(v7,
% 102.34/14.99 | all_39_5) = v12 & ( ~ (v11 = 0) | ~ (v10 = 0) | v12 =
% 102.34/14.99 | 0))))))
% 102.34/14.99 |
% 102.34/14.99 | GROUND_INST: instantiating (10) with all_39_10, all_39_9, all_39_8, all_39_5,
% 102.34/14.99 | simplifying with (29), (31), (35), (36) gives:
% 102.34/14.99 | (55) ? [v0: int] : ? [v1: $i] : ? [v2: any] : ? [v3: $i] : ? [v4: any]
% 102.34/14.99 | : ? [v5: $i] : ? [v6: $i] : (( ~ (v0 = 0) & l1_orders_2(all_39_10) =
% 102.34/14.99 | v0) | (v12_waybel_0(v1, all_39_8) = v2 & k1_latsum_1(all_39_10,
% 102.34/14.99 | all_39_8) = v5 & k3_xboole_0(all_39_9, all_39_5) = v1 &
% 102.34/14.99 | k1_zfmisc_1(all_39_5) = v3 & m1_subset_1(v1, v3) = v4 &
% 102.34/14.99 | l1_orders_2(all_39_8) = v0 & u1_orders_2(v5) = v6 & $i(v6) &
% 102.34/14.99 | $i(v5) & $i(v3) & $i(v1) & ( ~ (v0 = 0) | ! [v7: $i] : ! [v8:
% 102.34/14.99 | $i] : ! [v9: $i] : ( ~ (v4 = 0) | ~ (v2 = 0) | ~
% 102.34/14.99 | (k4_tarski(v7, v8) = v9) | ~ $i(v8) | ~ $i(v7) | ? [v10:
% 102.34/14.99 | any] : ? [v11: any] : ? [v12: any] : (r2_hidden(v9, v6) =
% 102.34/14.99 | v10 & r2_hidden(v8, all_39_9) = v11 & r2_hidden(v7,
% 102.34/14.99 | all_39_9) = v12 & ( ~ (v11 = 0) | ~ (v10 = 0) | v12 =
% 102.34/14.99 | 0))))))
% 102.34/14.99 |
% 102.34/14.99 | GROUND_INST: instantiating (10) with all_39_8, all_39_5, all_39_10, all_39_9,
% 102.34/14.99 | simplifying with (29), (31), (35), (36) gives:
% 102.34/15.00 | (56) ? [v0: int] : ? [v1: $i] : ? [v2: any] : ? [v3: $i] : ? [v4: any]
% 102.34/15.00 | : ? [v5: $i] : ? [v6: $i] : (( ~ (v0 = 0) & l1_orders_2(all_39_8) =
% 102.34/15.00 | v0) | (v12_waybel_0(v1, all_39_10) = v2 & k1_latsum_1(all_39_8,
% 102.34/15.00 | all_39_10) = v5 & k3_xboole_0(all_39_5, all_39_9) = v1 &
% 102.34/15.00 | k1_zfmisc_1(all_39_9) = v3 & m1_subset_1(v1, v3) = v4 &
% 102.34/15.00 | l1_orders_2(all_39_10) = v0 & u1_orders_2(v5) = v6 & $i(v6) &
% 102.34/15.00 | $i(v5) & $i(v3) & $i(v1) & ( ~ (v0 = 0) | ! [v7: $i] : ! [v8:
% 102.34/15.00 | $i] : ! [v9: $i] : ( ~ (v4 = 0) | ~ (v2 = 0) | ~
% 102.34/15.00 | (k4_tarski(v7, v8) = v9) | ~ $i(v8) | ~ $i(v7) | ? [v10:
% 102.34/15.00 | any] : ? [v11: any] : ? [v12: any] : (r2_hidden(v9, v6) =
% 102.34/15.00 | v10 & r2_hidden(v8, all_39_5) = v11 & r2_hidden(v7,
% 102.34/15.00 | all_39_5) = v12 & ( ~ (v11 = 0) | ~ (v10 = 0) | v12 =
% 102.34/15.00 | 0))))))
% 102.34/15.00 |
% 102.34/15.00 | GROUND_INST: instantiating (2) with all_39_8, all_39_5, simplifying with (31),
% 102.34/15.00 | (36) gives:
% 102.34/15.00 | (57) ? [v0: any] : ? [v1: any] : ? [v2: $i] : ? [v3: $i] :
% 102.34/15.00 | (v1_orders_2(all_39_8) = v1 & l1_orders_2(all_39_8) = v0 &
% 102.34/15.00 | u1_orders_2(all_39_8) = v2 & g1_orders_2(all_39_5, v2) = v3 & $i(v3)
% 102.34/15.00 | & $i(v2) & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = all_39_8))
% 102.34/15.00 |
% 102.34/15.00 | GROUND_INST: instantiating (7) with all_39_8, all_39_5, simplifying with (31),
% 102.34/15.00 | (36) gives:
% 102.34/15.00 | (58) ? [v0: any] : ? [v1: $i] : ? [v2: any] : (m2_relset_1(v1, all_39_5,
% 102.34/15.00 | all_39_5) = v2 & l1_orders_2(all_39_8) = v0 &
% 102.34/15.00 | u1_orders_2(all_39_8) = v1 & $i(v1) & ( ~ (v0 = 0) | v2 = 0))
% 102.34/15.00 |
% 102.34/15.00 | GROUND_INST: instantiating (5) with all_39_8, all_39_5, simplifying with (31),
% 102.34/15.00 | (36) gives:
% 102.34/15.00 | (59) ? [v0: any] : ? [v1: $i] : (l1_orders_2(all_39_8) = v0 &
% 102.34/15.00 | u1_orders_2(all_39_8) = v1 & $i(v1) & ( ~ (v0 = 0) | ( ! [v2: $i] :
% 102.34/15.00 | ! [v3: $i] : ! [v4: $i] : ( ~ (k4_tarski(v2, v3) = v4) | ~
% 102.34/15.00 | (m1_subset_1(v2, all_39_5) = 0) | ~ $i(v3) | ~ $i(v2) | ?
% 102.34/15.00 | [v5: any] : ? [v6: any] : ? [v7: any] :
% 102.34/15.00 | (r1_orders_2(all_39_8, v2, v3) = v6 & m1_subset_1(v3,
% 102.34/15.00 | all_39_5) = v5 & r2_hidden(v4, v1) = v7 & ( ~ (v5 = 0) |
% 102.34/15.00 | (( ~ (v7 = 0) | v6 = 0) & ( ~ (v6 = 0) | v7 = 0))))) & !
% 102.34/15.00 | [v2: $i] : ! [v3: $i] : ! [v4: any] : ( ~
% 102.34/15.00 | (r1_orders_2(all_39_8, v2, v3) = v4) | ~ (m1_subset_1(v2,
% 102.34/15.00 | all_39_5) = 0) | ~ $i(v3) | ~ $i(v2) | ? [v5: any] : ?
% 102.34/15.00 | [v6: $i] : ? [v7: any] : (k4_tarski(v2, v3) = v6 &
% 102.34/15.00 | m1_subset_1(v3, all_39_5) = v5 & r2_hidden(v6, v1) = v7 &
% 102.34/15.00 | $i(v6) & ( ~ (v5 = 0) | (( ~ (v7 = 0) | v4 = 0) & ( ~ (v4 =
% 102.34/15.00 | 0) | v7 = 0))))) & ! [v2: $i] : ! [v3: $i] : ( ~
% 102.34/15.00 | (m1_subset_1(v3, all_39_5) = 0) | ~ (m1_subset_1(v2,
% 102.34/15.00 | all_39_5) = 0) | ~ $i(v3) | ~ $i(v2) | ? [v4: any] : ?
% 102.34/15.00 | [v5: $i] : ? [v6: any] : (k4_tarski(v2, v3) = v5 &
% 102.34/15.00 | r1_orders_2(all_39_8, v2, v3) = v4 & r2_hidden(v5, v1) = v6
% 102.34/15.00 | & $i(v5) & ( ~ (v6 = 0) | v4 = 0) & ( ~ (v4 = 0) | v6 =
% 102.34/15.00 | 0))))))
% 102.34/15.00 |
% 102.34/15.00 | GROUND_INST: instantiating (10) with all_39_7, all_39_6, all_39_7, all_39_6,
% 102.34/15.00 | simplifying with (32), (37) gives:
% 102.34/15.00 | (60) ? [v0: int] : ? [v1: $i] : ? [v2: any] : ? [v3: $i] : ? [v4: any]
% 102.34/15.00 | : ? [v5: $i] : ? [v6: $i] : (( ~ (v0 = 0) & l1_orders_2(all_39_7) =
% 102.34/15.00 | v0) | (v12_waybel_0(v1, all_39_7) = v2 & k1_latsum_1(all_39_7,
% 102.34/15.00 | all_39_7) = v5 & k3_xboole_0(all_39_6, all_39_6) = v1 &
% 102.34/15.00 | k1_zfmisc_1(all_39_6) = v3 & m1_subset_1(v1, v3) = v4 &
% 102.34/15.00 | l1_orders_2(all_39_7) = v0 & u1_orders_2(v5) = v6 & $i(v6) &
% 102.34/15.00 | $i(v5) & $i(v3) & $i(v1) & ( ~ (v0 = 0) | ! [v7: $i] : ! [v8:
% 102.34/15.00 | $i] : ! [v9: $i] : ( ~ (v4 = 0) | ~ (v2 = 0) | ~
% 102.34/15.00 | (k4_tarski(v7, v8) = v9) | ~ $i(v8) | ~ $i(v7) | ? [v10:
% 102.34/15.00 | any] : ? [v11: any] : ? [v12: any] : (r2_hidden(v9, v6) =
% 102.34/15.00 | v10 & r2_hidden(v8, all_39_6) = v11 & r2_hidden(v7,
% 102.34/15.00 | all_39_6) = v12 & ( ~ (v11 = 0) | ~ (v10 = 0) | v12 =
% 102.34/15.00 | 0))))))
% 102.34/15.00 |
% 102.34/15.00 | GROUND_INST: instantiating (10) with all_39_8, all_39_5, all_39_7, all_39_6,
% 102.34/15.00 | simplifying with (31), (32), (36), (37) gives:
% 102.34/15.01 | (61) ? [v0: int] : ? [v1: $i] : ? [v2: any] : ? [v3: $i] : ? [v4: any]
% 102.34/15.01 | : ? [v5: $i] : ? [v6: $i] : (( ~ (v0 = 0) & l1_orders_2(all_39_8) =
% 102.34/15.01 | v0) | (v12_waybel_0(v1, all_39_7) = v2 & k1_latsum_1(all_39_8,
% 102.34/15.01 | all_39_7) = v5 & k3_xboole_0(all_39_5, all_39_6) = v1 &
% 102.34/15.01 | k1_zfmisc_1(all_39_6) = v3 & m1_subset_1(v1, v3) = v4 &
% 102.34/15.01 | l1_orders_2(all_39_7) = v0 & u1_orders_2(v5) = v6 & $i(v6) &
% 102.34/15.01 | $i(v5) & $i(v3) & $i(v1) & ( ~ (v0 = 0) | ! [v7: $i] : ! [v8:
% 102.34/15.01 | $i] : ! [v9: $i] : ( ~ (v4 = 0) | ~ (v2 = 0) | ~
% 102.34/15.01 | (k4_tarski(v7, v8) = v9) | ~ $i(v8) | ~ $i(v7) | ? [v10:
% 102.34/15.01 | any] : ? [v11: any] : ? [v12: any] : (r2_hidden(v9, v6) =
% 102.34/15.01 | v10 & r2_hidden(v8, all_39_5) = v11 & r2_hidden(v7,
% 102.34/15.01 | all_39_5) = v12 & ( ~ (v11 = 0) | ~ (v10 = 0) | v12 =
% 102.34/15.01 | 0))))))
% 102.34/15.01 |
% 102.34/15.01 | GROUND_INST: instantiating (10) with all_39_7, all_39_6, all_39_8, all_39_5,
% 102.34/15.01 | simplifying with (31), (32), (36), (37) gives:
% 102.34/15.01 | (62) ? [v0: int] : ? [v1: $i] : ? [v2: any] : ? [v3: $i] : ? [v4: any]
% 102.34/15.01 | : ? [v5: $i] : ? [v6: $i] : (( ~ (v0 = 0) & l1_orders_2(all_39_7) =
% 102.34/15.01 | v0) | (v12_waybel_0(v1, all_39_8) = v2 & k1_latsum_1(all_39_7,
% 102.34/15.01 | all_39_8) = v5 & k3_xboole_0(all_39_6, all_39_5) = v1 &
% 102.34/15.01 | k1_zfmisc_1(all_39_5) = v3 & m1_subset_1(v1, v3) = v4 &
% 102.34/15.01 | l1_orders_2(all_39_8) = v0 & u1_orders_2(v5) = v6 & $i(v6) &
% 102.34/15.01 | $i(v5) & $i(v3) & $i(v1) & ( ~ (v0 = 0) | ! [v7: $i] : ! [v8:
% 102.34/15.01 | $i] : ! [v9: $i] : ( ~ (v4 = 0) | ~ (v2 = 0) | ~
% 102.34/15.01 | (k4_tarski(v7, v8) = v9) | ~ $i(v8) | ~ $i(v7) | ? [v10:
% 102.34/15.01 | any] : ? [v11: any] : ? [v12: any] : (r2_hidden(v9, v6) =
% 102.34/15.01 | v10 & r2_hidden(v8, all_39_6) = v11 & r2_hidden(v7,
% 102.34/15.01 | all_39_6) = v12 & ( ~ (v11 = 0) | ~ (v10 = 0) | v12 =
% 102.34/15.01 | 0))))))
% 102.34/15.01 |
% 102.34/15.01 | GROUND_INST: instantiating (10) with all_39_10, all_39_9, all_39_7, all_39_6,
% 102.34/15.01 | simplifying with (29), (32), (35), (37) gives:
% 102.34/15.01 | (63) ? [v0: int] : ? [v1: $i] : ? [v2: any] : ? [v3: $i] : ? [v4: any]
% 102.34/15.01 | : ? [v5: $i] : ? [v6: $i] : (( ~ (v0 = 0) & l1_orders_2(all_39_10) =
% 102.34/15.01 | v0) | (v12_waybel_0(v1, all_39_7) = v2 & k1_latsum_1(all_39_10,
% 102.34/15.01 | all_39_7) = v5 & k3_xboole_0(all_39_9, all_39_6) = v1 &
% 102.34/15.01 | k1_zfmisc_1(all_39_6) = v3 & m1_subset_1(v1, v3) = v4 &
% 102.34/15.01 | l1_orders_2(all_39_7) = v0 & u1_orders_2(v5) = v6 & $i(v6) &
% 102.34/15.01 | $i(v5) & $i(v3) & $i(v1) & ( ~ (v0 = 0) | ! [v7: $i] : ! [v8:
% 102.34/15.01 | $i] : ! [v9: $i] : ( ~ (v4 = 0) | ~ (v2 = 0) | ~
% 102.34/15.01 | (k4_tarski(v7, v8) = v9) | ~ $i(v8) | ~ $i(v7) | ? [v10:
% 102.34/15.01 | any] : ? [v11: any] : ? [v12: any] : (r2_hidden(v9, v6) =
% 102.34/15.01 | v10 & r2_hidden(v8, all_39_9) = v11 & r2_hidden(v7,
% 102.34/15.01 | all_39_9) = v12 & ( ~ (v11 = 0) | ~ (v10 = 0) | v12 =
% 102.34/15.01 | 0))))))
% 102.34/15.01 |
% 102.34/15.01 | GROUND_INST: instantiating (10) with all_39_7, all_39_6, all_39_10, all_39_9,
% 102.34/15.01 | simplifying with (29), (32), (35), (37) gives:
% 102.34/15.01 | (64) ? [v0: int] : ? [v1: $i] : ? [v2: any] : ? [v3: $i] : ? [v4: any]
% 102.34/15.01 | : ? [v5: $i] : ? [v6: $i] : (( ~ (v0 = 0) & l1_orders_2(all_39_7) =
% 102.34/15.01 | v0) | (v12_waybel_0(v1, all_39_10) = v2 & k1_latsum_1(all_39_7,
% 102.34/15.01 | all_39_10) = v5 & k3_xboole_0(all_39_6, all_39_9) = v1 &
% 102.34/15.01 | k1_zfmisc_1(all_39_9) = v3 & m1_subset_1(v1, v3) = v4 &
% 102.34/15.01 | l1_orders_2(all_39_10) = v0 & u1_orders_2(v5) = v6 & $i(v6) &
% 102.34/15.01 | $i(v5) & $i(v3) & $i(v1) & ( ~ (v0 = 0) | ! [v7: $i] : ! [v8:
% 102.34/15.01 | $i] : ! [v9: $i] : ( ~ (v4 = 0) | ~ (v2 = 0) | ~
% 102.34/15.01 | (k4_tarski(v7, v8) = v9) | ~ $i(v8) | ~ $i(v7) | ? [v10:
% 102.34/15.01 | any] : ? [v11: any] : ? [v12: any] : (r2_hidden(v9, v6) =
% 102.34/15.01 | v10 & r2_hidden(v8, all_39_6) = v11 & r2_hidden(v7,
% 102.34/15.01 | all_39_6) = v12 & ( ~ (v11 = 0) | ~ (v10 = 0) | v12 =
% 102.34/15.01 | 0))))))
% 102.34/15.01 |
% 102.34/15.01 | GROUND_INST: instantiating (2) with all_39_7, all_39_6, simplifying with (32),
% 102.34/15.01 | (37) gives:
% 102.34/15.01 | (65) ? [v0: any] : ? [v1: any] : ? [v2: $i] : ? [v3: $i] :
% 102.34/15.01 | (v1_orders_2(all_39_7) = v1 & l1_orders_2(all_39_7) = v0 &
% 102.34/15.01 | u1_orders_2(all_39_7) = v2 & g1_orders_2(all_39_6, v2) = v3 & $i(v3)
% 102.34/15.01 | & $i(v2) & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = all_39_7))
% 102.34/15.01 |
% 102.34/15.01 | GROUND_INST: instantiating (7) with all_39_7, all_39_6, simplifying with (32),
% 102.34/15.01 | (37) gives:
% 102.34/15.01 | (66) ? [v0: any] : ? [v1: $i] : ? [v2: any] : (m2_relset_1(v1, all_39_6,
% 102.34/15.01 | all_39_6) = v2 & l1_orders_2(all_39_7) = v0 &
% 102.34/15.01 | u1_orders_2(all_39_7) = v1 & $i(v1) & ( ~ (v0 = 0) | v2 = 0))
% 102.34/15.01 |
% 102.34/15.01 | GROUND_INST: instantiating (5) with all_39_7, all_39_6, simplifying with (32),
% 102.34/15.01 | (37) gives:
% 102.34/15.02 | (67) ? [v0: any] : ? [v1: $i] : (l1_orders_2(all_39_7) = v0 &
% 102.34/15.02 | u1_orders_2(all_39_7) = v1 & $i(v1) & ( ~ (v0 = 0) | ( ! [v2: $i] :
% 102.34/15.02 | ! [v3: $i] : ! [v4: $i] : ( ~ (k4_tarski(v2, v3) = v4) | ~
% 102.34/15.02 | (m1_subset_1(v2, all_39_6) = 0) | ~ $i(v3) | ~ $i(v2) | ?
% 102.34/15.02 | [v5: any] : ? [v6: any] : ? [v7: any] :
% 102.34/15.02 | (r1_orders_2(all_39_7, v2, v3) = v6 & m1_subset_1(v3,
% 102.34/15.02 | all_39_6) = v5 & r2_hidden(v4, v1) = v7 & ( ~ (v5 = 0) |
% 102.34/15.02 | (( ~ (v7 = 0) | v6 = 0) & ( ~ (v6 = 0) | v7 = 0))))) & !
% 102.34/15.02 | [v2: $i] : ! [v3: $i] : ! [v4: any] : ( ~
% 102.34/15.02 | (r1_orders_2(all_39_7, v2, v3) = v4) | ~ (m1_subset_1(v2,
% 102.34/15.02 | all_39_6) = 0) | ~ $i(v3) | ~ $i(v2) | ? [v5: any] : ?
% 102.34/15.02 | [v6: $i] : ? [v7: any] : (k4_tarski(v2, v3) = v6 &
% 102.34/15.02 | m1_subset_1(v3, all_39_6) = v5 & r2_hidden(v6, v1) = v7 &
% 102.34/15.02 | $i(v6) & ( ~ (v5 = 0) | (( ~ (v7 = 0) | v4 = 0) & ( ~ (v4 =
% 102.34/15.02 | 0) | v7 = 0))))) & ! [v2: $i] : ! [v3: $i] : ( ~
% 102.34/15.02 | (m1_subset_1(v3, all_39_6) = 0) | ~ (m1_subset_1(v2,
% 102.34/15.02 | all_39_6) = 0) | ~ $i(v3) | ~ $i(v2) | ? [v4: any] : ?
% 102.34/15.02 | [v5: $i] : ? [v6: any] : (k4_tarski(v2, v3) = v5 &
% 102.34/15.02 | r1_orders_2(all_39_7, v2, v3) = v4 & r2_hidden(v5, v1) = v6
% 102.34/15.02 | & $i(v5) & ( ~ (v6 = 0) | v4 = 0) & ( ~ (v4 = 0) | v6 =
% 102.34/15.02 | 0))))))
% 102.34/15.02 |
% 102.34/15.02 | GROUND_INST: instantiating (8) with all_30_0, simplifying with (25), (26)
% 102.34/15.02 | gives:
% 102.34/15.02 | (68) ? [v0: $i] : (u1_struct_0(all_30_0) = v0 & $i(v0) & ! [v1: $i] : !
% 102.34/15.02 | [v2: $i] : ( ~ (k1_latsum_1(all_30_0, v1) = v2) | ~ $i(v1) | ?
% 102.34/15.02 | [v3: any] : ? [v4: $i] : ? [v5: $i] : ? [v6: any] : ? [v7: $i]
% 102.34/15.02 | : ? [v8: any] : ? [v9: $i] : (v12_waybel_0(v5, v1) = v6 &
% 102.34/15.02 | k3_xboole_0(v0, v4) = v5 & k1_zfmisc_1(v4) = v7 &
% 102.34/15.02 | m1_subset_1(v5, v7) = v8 & l1_orders_2(v1) = v3 &
% 102.34/15.02 | u1_struct_0(v1) = v4 & u1_orders_2(v2) = v9 & $i(v9) & $i(v7) &
% 102.34/15.02 | $i(v5) & $i(v4) & ( ~ (v3 = 0) | ! [v10: $i] : ! [v11: $i] :
% 102.34/15.02 | ! [v12: $i] : ( ~ (v8 = 0) | ~ (v6 = 0) | ~ (k4_tarski(v10,
% 102.34/15.02 | v11) = v12) | ~ $i(v11) | ~ $i(v10) | ? [v13: any] :
% 102.34/15.02 | ? [v14: any] : ? [v15: any] : (r2_hidden(v12, v9) = v13 &
% 102.34/15.02 | r2_hidden(v11, v0) = v14 & r2_hidden(v10, v0) = v15 & ( ~
% 102.34/15.02 | (v14 = 0) | ~ (v13 = 0) | v15 = 0)))))) & ! [v1: $i] :
% 102.34/15.02 | ! [v2: $i] : ( ~ (u1_struct_0(v1) = v2) | ~ $i(v1) | ? [v3: any]
% 102.34/15.02 | : ? [v4: $i] : ? [v5: any] : ? [v6: $i] : ? [v7: any] : ?
% 102.34/15.02 | [v8: $i] : ? [v9: $i] : (v12_waybel_0(v4, v1) = v5 &
% 102.34/15.02 | k1_latsum_1(all_30_0, v1) = v8 & k3_xboole_0(v0, v2) = v4 &
% 102.34/15.02 | k1_zfmisc_1(v2) = v6 & m1_subset_1(v4, v6) = v7 &
% 102.34/15.02 | l1_orders_2(v1) = v3 & u1_orders_2(v8) = v9 & $i(v9) & $i(v8) &
% 102.34/15.02 | $i(v6) & $i(v4) & ( ~ (v3 = 0) | ! [v10: $i] : ! [v11: $i] :
% 102.34/15.02 | ! [v12: $i] : ( ~ (v7 = 0) | ~ (v5 = 0) | ~ (k4_tarski(v10,
% 102.34/15.02 | v11) = v12) | ~ $i(v11) | ~ $i(v10) | ? [v13: any] :
% 102.34/15.02 | ? [v14: any] : ? [v15: any] : (r2_hidden(v12, v9) = v13 &
% 102.34/15.02 | r2_hidden(v11, v0) = v14 & r2_hidden(v10, v0) = v15 & ( ~
% 102.34/15.02 | (v14 = 0) | ~ (v13 = 0) | v15 = 0)))))) & ! [v1: $i] :
% 102.34/15.02 | ( ~ (l1_orders_2(v1) = 0) | ~ $i(v1) | ? [v2: $i] : ? [v3: $i] :
% 102.34/15.02 | ? [v4: any] : ? [v5: $i] : ? [v6: any] : ? [v7: $i] : ? [v8:
% 102.34/15.02 | $i] : (v12_waybel_0(v3, v1) = v4 & k1_latsum_1(all_30_0, v1) =
% 102.34/15.02 | v7 & k3_xboole_0(v0, v2) = v3 & k1_zfmisc_1(v2) = v5 &
% 102.34/15.02 | m1_subset_1(v3, v5) = v6 & u1_struct_0(v1) = v2 &
% 102.34/15.02 | u1_orders_2(v7) = v8 & $i(v8) & $i(v7) & $i(v5) & $i(v3) &
% 102.34/15.02 | $i(v2) & ! [v9: $i] : ! [v10: $i] : ! [v11: $i] : ( ~ (v6 =
% 102.34/15.02 | 0) | ~ (v4 = 0) | ~ (k4_tarski(v9, v10) = v11) | ~
% 102.34/15.02 | $i(v10) | ~ $i(v9) | ? [v12: any] : ? [v13: any] : ? [v14:
% 102.34/15.02 | any] : (r2_hidden(v11, v8) = v12 & r2_hidden(v10, v0) = v13
% 102.34/15.02 | & r2_hidden(v9, v0) = v14 & ( ~ (v13 = 0) | ~ (v12 = 0) |
% 102.34/15.02 | v14 = 0))))))
% 102.34/15.02 |
% 102.34/15.02 | GROUND_INST: instantiating (9) with all_39_7, all_39_6, all_39_10, simplifying
% 102.34/15.02 | with (29), (32), (37), (38) gives:
% 102.34/15.02 | (69) ? [v0: any] : ? [v1: $i] : ? [v2: any] : ? [v3: $i] : ? [v4: any]
% 102.34/15.02 | : ? [v5: $i] : ? [v6: $i] : (( ~ (v0 = 0) & l1_orders_2(all_39_7) =
% 102.34/15.02 | v0) | (v12_waybel_0(v1, all_39_10) = v2 & k1_latsum_1(all_39_7,
% 102.34/15.02 | all_39_10) = v5 & k3_xboole_0(all_39_6, v0) = v1 &
% 102.34/15.02 | k1_zfmisc_1(v0) = v3 & m1_subset_1(v1, v3) = v4 &
% 102.34/15.02 | u1_struct_0(all_39_10) = v0 & u1_orders_2(v5) = v6 & $i(v6) &
% 102.34/15.02 | $i(v5) & $i(v3) & $i(v1) & $i(v0) & ! [v7: $i] : ! [v8: $i] : !
% 102.34/15.02 | [v9: $i] : ( ~ (v4 = 0) | ~ (v2 = 0) | ~ (k4_tarski(v7, v8) =
% 102.34/15.02 | v9) | ~ $i(v8) | ~ $i(v7) | ? [v10: any] : ? [v11: any] :
% 102.34/15.02 | ? [v12: any] : (r2_hidden(v9, v6) = v10 & r2_hidden(v8,
% 102.34/15.02 | all_39_6) = v11 & r2_hidden(v7, all_39_6) = v12 & ( ~ (v11 =
% 102.34/15.02 | 0) | ~ (v10 = 0) | v12 = 0)))))
% 102.34/15.02 |
% 102.34/15.02 | GROUND_INST: instantiating (9) with all_39_8, all_39_5, all_39_10, simplifying
% 102.34/15.02 | with (29), (31), (36), (38) gives:
% 102.34/15.02 | (70) ? [v0: any] : ? [v1: $i] : ? [v2: any] : ? [v3: $i] : ? [v4: any]
% 102.34/15.02 | : ? [v5: $i] : ? [v6: $i] : (( ~ (v0 = 0) & l1_orders_2(all_39_8) =
% 102.34/15.02 | v0) | (v12_waybel_0(v1, all_39_10) = v2 & k1_latsum_1(all_39_8,
% 102.34/15.02 | all_39_10) = v5 & k3_xboole_0(all_39_5, v0) = v1 &
% 102.34/15.02 | k1_zfmisc_1(v0) = v3 & m1_subset_1(v1, v3) = v4 &
% 102.34/15.02 | u1_struct_0(all_39_10) = v0 & u1_orders_2(v5) = v6 & $i(v6) &
% 102.34/15.02 | $i(v5) & $i(v3) & $i(v1) & $i(v0) & ! [v7: $i] : ! [v8: $i] : !
% 102.34/15.02 | [v9: $i] : ( ~ (v4 = 0) | ~ (v2 = 0) | ~ (k4_tarski(v7, v8) =
% 102.34/15.02 | v9) | ~ $i(v8) | ~ $i(v7) | ? [v10: any] : ? [v11: any] :
% 102.34/15.02 | ? [v12: any] : (r2_hidden(v9, v6) = v10 & r2_hidden(v8,
% 102.34/15.02 | all_39_5) = v11 & r2_hidden(v7, all_39_5) = v12 & ( ~ (v11 =
% 102.34/15.02 | 0) | ~ (v10 = 0) | v12 = 0)))))
% 102.34/15.02 |
% 102.34/15.02 | GROUND_INST: instantiating (9) with all_39_10, all_39_9, all_39_10,
% 102.34/15.02 | simplifying with (29), (35), (38) gives:
% 102.34/15.03 | (71) ? [v0: any] : ? [v1: $i] : ? [v2: any] : ? [v3: $i] : ? [v4: any]
% 102.34/15.03 | : ? [v5: $i] : ? [v6: $i] : (( ~ (v0 = 0) & l1_orders_2(all_39_10) =
% 102.34/15.03 | v0) | (v12_waybel_0(v1, all_39_10) = v2 & k1_latsum_1(all_39_10,
% 102.34/15.03 | all_39_10) = v5 & k3_xboole_0(all_39_9, v0) = v1 &
% 102.34/15.03 | k1_zfmisc_1(v0) = v3 & m1_subset_1(v1, v3) = v4 &
% 102.34/15.03 | u1_struct_0(all_39_10) = v0 & u1_orders_2(v5) = v6 & $i(v6) &
% 102.34/15.03 | $i(v5) & $i(v3) & $i(v1) & $i(v0) & ! [v7: $i] : ! [v8: $i] : !
% 102.34/15.03 | [v9: $i] : ( ~ (v4 = 0) | ~ (v2 = 0) | ~ (k4_tarski(v7, v8) =
% 102.34/15.03 | v9) | ~ $i(v8) | ~ $i(v7) | ? [v10: any] : ? [v11: any] :
% 102.34/15.03 | ? [v12: any] : (r2_hidden(v9, v6) = v10 & r2_hidden(v8,
% 102.34/15.03 | all_39_9) = v11 & r2_hidden(v7, all_39_9) = v12 & ( ~ (v11 =
% 102.34/15.03 | 0) | ~ (v10 = 0) | v12 = 0)))))
% 102.34/15.03 |
% 102.34/15.03 | GROUND_INST: instantiating (1) with all_39_10, simplifying with (29), (38)
% 102.34/15.03 | gives:
% 102.34/15.03 | (72) ? [v0: any] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] :
% 102.34/15.03 | (v1_orders_2(all_39_10) = v0 & u1_struct_0(all_39_10) = v1 &
% 102.34/15.03 | u1_orders_2(all_39_10) = v2 & g1_orders_2(v1, v2) = v3 & $i(v3) &
% 102.34/15.03 | $i(v2) & $i(v1) & ( ~ (v0 = 0) | v3 = all_39_10))
% 102.34/15.03 |
% 102.34/15.03 | GROUND_INST: instantiating (6) with all_39_10, simplifying with (29), (38)
% 102.34/15.03 | gives:
% 102.34/15.03 | (73) ? [v0: $i] : ? [v1: $i] : (m2_relset_1(v0, v1, v1) = 0 &
% 102.34/15.03 | u1_struct_0(all_39_10) = v1 & u1_orders_2(all_39_10) = v0 & $i(v1) &
% 102.34/15.03 | $i(v0))
% 102.34/15.03 |
% 102.34/15.03 | GROUND_INST: instantiating (4) with all_39_10, simplifying with (29), (38)
% 102.34/15.03 | gives:
% 102.34/15.03 | (74) ? [v0: $i] : ? [v1: $i] : (u1_struct_0(all_39_10) = v0 &
% 102.34/15.03 | u1_orders_2(all_39_10) = v1 & $i(v1) & $i(v0) & ! [v2: $i] : !
% 102.34/15.03 | [v3: $i] : ! [v4: $i] : ( ~ (k4_tarski(v2, v3) = v4) | ~
% 102.34/15.03 | (m1_subset_1(v2, v0) = 0) | ~ $i(v3) | ~ $i(v2) | ? [v5: any] :
% 102.34/15.03 | ? [v6: any] : ? [v7: any] : (r1_orders_2(all_39_10, v2, v3) = v6
% 102.34/15.03 | & m1_subset_1(v3, v0) = v5 & r2_hidden(v4, v1) = v7 & ( ~ (v5 =
% 102.34/15.03 | 0) | (( ~ (v7 = 0) | v6 = 0) & ( ~ (v6 = 0) | v7 = 0))))) &
% 102.34/15.03 | ! [v2: $i] : ! [v3: $i] : ! [v4: any] : ( ~
% 102.34/15.03 | (r1_orders_2(all_39_10, v2, v3) = v4) | ~ (m1_subset_1(v2, v0) =
% 102.34/15.03 | 0) | ~ $i(v3) | ~ $i(v2) | ? [v5: any] : ? [v6: $i] : ?
% 102.34/15.03 | [v7: any] : (k4_tarski(v2, v3) = v6 & m1_subset_1(v3, v0) = v5 &
% 102.34/15.03 | r2_hidden(v6, v1) = v7 & $i(v6) & ( ~ (v5 = 0) | (( ~ (v7 = 0) |
% 102.34/15.03 | v4 = 0) & ( ~ (v4 = 0) | v7 = 0))))) & ! [v2: $i] : !
% 102.34/15.03 | [v3: $i] : ( ~ (m1_subset_1(v3, v0) = 0) | ~ (m1_subset_1(v2, v0) =
% 102.34/15.03 | 0) | ~ $i(v3) | ~ $i(v2) | ? [v4: any] : ? [v5: $i] : ?
% 102.34/15.03 | [v6: any] : (k4_tarski(v2, v3) = v5 & r1_orders_2(all_39_10, v2,
% 102.34/15.03 | v3) = v4 & r2_hidden(v5, v1) = v6 & $i(v5) & ( ~ (v6 = 0) | v4
% 102.34/15.03 | = 0) & ( ~ (v4 = 0) | v6 = 0))))
% 102.34/15.03 |
% 102.34/15.03 | GROUND_INST: instantiating (8) with all_39_10, simplifying with (29), (38)
% 102.34/15.03 | gives:
% 102.34/15.03 | (75) ? [v0: $i] : (u1_struct_0(all_39_10) = v0 & $i(v0) & ! [v1: $i] : !
% 102.34/15.03 | [v2: $i] : ( ~ (k1_latsum_1(all_39_10, v1) = v2) | ~ $i(v1) | ?
% 102.34/15.03 | [v3: any] : ? [v4: $i] : ? [v5: $i] : ? [v6: any] : ? [v7: $i]
% 102.34/15.03 | : ? [v8: any] : ? [v9: $i] : (v12_waybel_0(v5, v1) = v6 &
% 102.34/15.03 | k3_xboole_0(v0, v4) = v5 & k1_zfmisc_1(v4) = v7 &
% 102.34/15.03 | m1_subset_1(v5, v7) = v8 & l1_orders_2(v1) = v3 &
% 102.34/15.03 | u1_struct_0(v1) = v4 & u1_orders_2(v2) = v9 & $i(v9) & $i(v7) &
% 102.34/15.03 | $i(v5) & $i(v4) & ( ~ (v3 = 0) | ! [v10: $i] : ! [v11: $i] :
% 102.34/15.03 | ! [v12: $i] : ( ~ (v8 = 0) | ~ (v6 = 0) | ~ (k4_tarski(v10,
% 102.34/15.03 | v11) = v12) | ~ $i(v11) | ~ $i(v10) | ? [v13: any] :
% 102.34/15.03 | ? [v14: any] : ? [v15: any] : (r2_hidden(v12, v9) = v13 &
% 102.34/15.03 | r2_hidden(v11, v0) = v14 & r2_hidden(v10, v0) = v15 & ( ~
% 102.34/15.03 | (v14 = 0) | ~ (v13 = 0) | v15 = 0)))))) & ! [v1: $i] :
% 102.34/15.03 | ! [v2: $i] : ( ~ (u1_struct_0(v1) = v2) | ~ $i(v1) | ? [v3: any]
% 102.34/15.03 | : ? [v4: $i] : ? [v5: any] : ? [v6: $i] : ? [v7: any] : ?
% 102.34/15.03 | [v8: $i] : ? [v9: $i] : (v12_waybel_0(v4, v1) = v5 &
% 102.34/15.03 | k1_latsum_1(all_39_10, v1) = v8 & k3_xboole_0(v0, v2) = v4 &
% 102.34/15.03 | k1_zfmisc_1(v2) = v6 & m1_subset_1(v4, v6) = v7 &
% 102.34/15.03 | l1_orders_2(v1) = v3 & u1_orders_2(v8) = v9 & $i(v9) & $i(v8) &
% 102.34/15.03 | $i(v6) & $i(v4) & ( ~ (v3 = 0) | ! [v10: $i] : ! [v11: $i] :
% 102.34/15.03 | ! [v12: $i] : ( ~ (v7 = 0) | ~ (v5 = 0) | ~ (k4_tarski(v10,
% 102.34/15.03 | v11) = v12) | ~ $i(v11) | ~ $i(v10) | ? [v13: any] :
% 102.34/15.03 | ? [v14: any] : ? [v15: any] : (r2_hidden(v12, v9) = v13 &
% 102.34/15.03 | r2_hidden(v11, v0) = v14 & r2_hidden(v10, v0) = v15 & ( ~
% 102.34/15.03 | (v14 = 0) | ~ (v13 = 0) | v15 = 0)))))) & ! [v1: $i] :
% 102.34/15.03 | ( ~ (l1_orders_2(v1) = 0) | ~ $i(v1) | ? [v2: $i] : ? [v3: $i] :
% 102.34/15.03 | ? [v4: any] : ? [v5: $i] : ? [v6: any] : ? [v7: $i] : ? [v8:
% 102.34/15.03 | $i] : (v12_waybel_0(v3, v1) = v4 & k1_latsum_1(all_39_10, v1) =
% 102.34/15.03 | v7 & k3_xboole_0(v0, v2) = v3 & k1_zfmisc_1(v2) = v5 &
% 102.34/15.03 | m1_subset_1(v3, v5) = v6 & u1_struct_0(v1) = v2 &
% 102.34/15.03 | u1_orders_2(v7) = v8 & $i(v8) & $i(v7) & $i(v5) & $i(v3) &
% 102.34/15.03 | $i(v2) & ! [v9: $i] : ! [v10: $i] : ! [v11: $i] : ( ~ (v6 =
% 102.34/15.03 | 0) | ~ (v4 = 0) | ~ (k4_tarski(v9, v10) = v11) | ~
% 102.34/15.03 | $i(v10) | ~ $i(v9) | ? [v12: any] : ? [v13: any] : ? [v14:
% 102.34/15.03 | any] : (r2_hidden(v11, v8) = v12 & r2_hidden(v10, v0) = v13
% 102.34/15.03 | & r2_hidden(v9, v0) = v14 & ( ~ (v13 = 0) | ~ (v12 = 0) |
% 102.34/15.03 | v14 = 0))))))
% 102.34/15.03 |
% 102.34/15.03 | GROUND_INST: instantiating (9) with all_39_7, all_39_6, all_39_8, simplifying
% 102.34/15.03 | with (31), (32), (37), (39) gives:
% 102.34/15.04 | (76) ? [v0: any] : ? [v1: $i] : ? [v2: any] : ? [v3: $i] : ? [v4: any]
% 102.34/15.04 | : ? [v5: $i] : ? [v6: $i] : (( ~ (v0 = 0) & l1_orders_2(all_39_7) =
% 102.34/15.04 | v0) | (v12_waybel_0(v1, all_39_8) = v2 & k1_latsum_1(all_39_7,
% 102.34/15.04 | all_39_8) = v5 & k3_xboole_0(all_39_6, v0) = v1 &
% 102.34/15.04 | k1_zfmisc_1(v0) = v3 & m1_subset_1(v1, v3) = v4 &
% 102.34/15.04 | u1_struct_0(all_39_8) = v0 & u1_orders_2(v5) = v6 & $i(v6) &
% 102.34/15.04 | $i(v5) & $i(v3) & $i(v1) & $i(v0) & ! [v7: $i] : ! [v8: $i] : !
% 102.34/15.04 | [v9: $i] : ( ~ (v4 = 0) | ~ (v2 = 0) | ~ (k4_tarski(v7, v8) =
% 102.34/15.04 | v9) | ~ $i(v8) | ~ $i(v7) | ? [v10: any] : ? [v11: any] :
% 102.34/15.04 | ? [v12: any] : (r2_hidden(v9, v6) = v10 & r2_hidden(v8,
% 102.34/15.04 | all_39_6) = v11 & r2_hidden(v7, all_39_6) = v12 & ( ~ (v11 =
% 102.34/15.04 | 0) | ~ (v10 = 0) | v12 = 0)))))
% 102.34/15.04 |
% 102.34/15.04 | GROUND_INST: instantiating (9) with all_39_8, all_39_5, all_39_8, simplifying
% 102.34/15.04 | with (31), (36), (39) gives:
% 102.34/15.04 | (77) ? [v0: any] : ? [v1: $i] : ? [v2: any] : ? [v3: $i] : ? [v4: any]
% 102.34/15.04 | : ? [v5: $i] : ? [v6: $i] : (( ~ (v0 = 0) & l1_orders_2(all_39_8) =
% 102.34/15.04 | v0) | (v12_waybel_0(v1, all_39_8) = v2 & k1_latsum_1(all_39_8,
% 102.34/15.04 | all_39_8) = v5 & k3_xboole_0(all_39_5, v0) = v1 &
% 102.34/15.04 | k1_zfmisc_1(v0) = v3 & m1_subset_1(v1, v3) = v4 &
% 102.34/15.04 | u1_struct_0(all_39_8) = v0 & u1_orders_2(v5) = v6 & $i(v6) &
% 102.34/15.04 | $i(v5) & $i(v3) & $i(v1) & $i(v0) & ! [v7: $i] : ! [v8: $i] : !
% 102.34/15.04 | [v9: $i] : ( ~ (v4 = 0) | ~ (v2 = 0) | ~ (k4_tarski(v7, v8) =
% 102.34/15.04 | v9) | ~ $i(v8) | ~ $i(v7) | ? [v10: any] : ? [v11: any] :
% 102.34/15.04 | ? [v12: any] : (r2_hidden(v9, v6) = v10 & r2_hidden(v8,
% 102.34/15.04 | all_39_5) = v11 & r2_hidden(v7, all_39_5) = v12 & ( ~ (v11 =
% 102.34/15.04 | 0) | ~ (v10 = 0) | v12 = 0)))))
% 102.34/15.04 |
% 102.34/15.04 | GROUND_INST: instantiating (9) with all_39_10, all_39_9, all_39_8, simplifying
% 102.34/15.04 | with (29), (31), (35), (39) gives:
% 102.34/15.04 | (78) ? [v0: any] : ? [v1: $i] : ? [v2: any] : ? [v3: $i] : ? [v4: any]
% 102.34/15.04 | : ? [v5: $i] : ? [v6: $i] : (( ~ (v0 = 0) & l1_orders_2(all_39_10) =
% 102.34/15.04 | v0) | (v12_waybel_0(v1, all_39_8) = v2 & k1_latsum_1(all_39_10,
% 102.34/15.04 | all_39_8) = v5 & k3_xboole_0(all_39_9, v0) = v1 &
% 102.34/15.04 | k1_zfmisc_1(v0) = v3 & m1_subset_1(v1, v3) = v4 &
% 102.34/15.04 | u1_struct_0(all_39_8) = v0 & u1_orders_2(v5) = v6 & $i(v6) &
% 102.34/15.04 | $i(v5) & $i(v3) & $i(v1) & $i(v0) & ! [v7: $i] : ! [v8: $i] : !
% 102.34/15.04 | [v9: $i] : ( ~ (v4 = 0) | ~ (v2 = 0) | ~ (k4_tarski(v7, v8) =
% 102.34/15.04 | v9) | ~ $i(v8) | ~ $i(v7) | ? [v10: any] : ? [v11: any] :
% 102.34/15.04 | ? [v12: any] : (r2_hidden(v9, v6) = v10 & r2_hidden(v8,
% 102.34/15.04 | all_39_9) = v11 & r2_hidden(v7, all_39_9) = v12 & ( ~ (v11 =
% 102.34/15.04 | 0) | ~ (v10 = 0) | v12 = 0)))))
% 102.34/15.04 |
% 102.34/15.04 | GROUND_INST: instantiating (1) with all_39_8, simplifying with (31), (39)
% 102.34/15.04 | gives:
% 102.34/15.04 | (79) ? [v0: any] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] :
% 102.34/15.04 | (v1_orders_2(all_39_8) = v0 & u1_struct_0(all_39_8) = v1 &
% 102.34/15.04 | u1_orders_2(all_39_8) = v2 & g1_orders_2(v1, v2) = v3 & $i(v3) &
% 102.34/15.04 | $i(v2) & $i(v1) & ( ~ (v0 = 0) | v3 = all_39_8))
% 102.34/15.04 |
% 102.34/15.04 | GROUND_INST: instantiating (6) with all_39_8, simplifying with (31), (39)
% 102.34/15.04 | gives:
% 102.34/15.04 | (80) ? [v0: $i] : ? [v1: $i] : (m2_relset_1(v0, v1, v1) = 0 &
% 102.34/15.04 | u1_struct_0(all_39_8) = v1 & u1_orders_2(all_39_8) = v0 & $i(v1) &
% 102.34/15.04 | $i(v0))
% 102.34/15.04 |
% 102.34/15.04 | GROUND_INST: instantiating (4) with all_39_8, simplifying with (31), (39)
% 102.34/15.04 | gives:
% 102.34/15.04 | (81) ? [v0: $i] : ? [v1: $i] : (u1_struct_0(all_39_8) = v0 &
% 102.34/15.04 | u1_orders_2(all_39_8) = v1 & $i(v1) & $i(v0) & ! [v2: $i] : ! [v3:
% 102.34/15.04 | $i] : ! [v4: $i] : ( ~ (k4_tarski(v2, v3) = v4) | ~
% 102.34/15.04 | (m1_subset_1(v2, v0) = 0) | ~ $i(v3) | ~ $i(v2) | ? [v5: any] :
% 102.34/15.04 | ? [v6: any] : ? [v7: any] : (r1_orders_2(all_39_8, v2, v3) = v6
% 102.34/15.04 | & m1_subset_1(v3, v0) = v5 & r2_hidden(v4, v1) = v7 & ( ~ (v5 =
% 102.34/15.04 | 0) | (( ~ (v7 = 0) | v6 = 0) & ( ~ (v6 = 0) | v7 = 0))))) &
% 102.34/15.04 | ! [v2: $i] : ! [v3: $i] : ! [v4: any] : ( ~ (r1_orders_2(all_39_8,
% 102.34/15.04 | v2, v3) = v4) | ~ (m1_subset_1(v2, v0) = 0) | ~ $i(v3) | ~
% 102.34/15.04 | $i(v2) | ? [v5: any] : ? [v6: $i] : ? [v7: any] :
% 102.34/15.04 | (k4_tarski(v2, v3) = v6 & m1_subset_1(v3, v0) = v5 & r2_hidden(v6,
% 102.34/15.04 | v1) = v7 & $i(v6) & ( ~ (v5 = 0) | (( ~ (v7 = 0) | v4 = 0) & (
% 102.34/15.04 | ~ (v4 = 0) | v7 = 0))))) & ! [v2: $i] : ! [v3: $i] : ( ~
% 102.34/15.04 | (m1_subset_1(v3, v0) = 0) | ~ (m1_subset_1(v2, v0) = 0) | ~
% 102.34/15.04 | $i(v3) | ~ $i(v2) | ? [v4: any] : ? [v5: $i] : ? [v6: any] :
% 102.34/15.04 | (k4_tarski(v2, v3) = v5 & r1_orders_2(all_39_8, v2, v3) = v4 &
% 102.34/15.04 | r2_hidden(v5, v1) = v6 & $i(v5) & ( ~ (v6 = 0) | v4 = 0) & ( ~
% 102.34/15.04 | (v4 = 0) | v6 = 0))))
% 102.34/15.04 |
% 102.34/15.04 | GROUND_INST: instantiating (8) with all_39_8, simplifying with (31), (39)
% 102.34/15.04 | gives:
% 102.34/15.05 | (82) ? [v0: $i] : (u1_struct_0(all_39_8) = v0 & $i(v0) & ! [v1: $i] : !
% 102.34/15.05 | [v2: $i] : ( ~ (k1_latsum_1(all_39_8, v1) = v2) | ~ $i(v1) | ?
% 102.34/15.05 | [v3: any] : ? [v4: $i] : ? [v5: $i] : ? [v6: any] : ? [v7: $i]
% 102.34/15.05 | : ? [v8: any] : ? [v9: $i] : (v12_waybel_0(v5, v1) = v6 &
% 102.34/15.05 | k3_xboole_0(v0, v4) = v5 & k1_zfmisc_1(v4) = v7 &
% 102.34/15.05 | m1_subset_1(v5, v7) = v8 & l1_orders_2(v1) = v3 &
% 102.34/15.05 | u1_struct_0(v1) = v4 & u1_orders_2(v2) = v9 & $i(v9) & $i(v7) &
% 102.34/15.05 | $i(v5) & $i(v4) & ( ~ (v3 = 0) | ! [v10: $i] : ! [v11: $i] :
% 102.34/15.05 | ! [v12: $i] : ( ~ (v8 = 0) | ~ (v6 = 0) | ~ (k4_tarski(v10,
% 102.34/15.05 | v11) = v12) | ~ $i(v11) | ~ $i(v10) | ? [v13: any] :
% 102.34/15.05 | ? [v14: any] : ? [v15: any] : (r2_hidden(v12, v9) = v13 &
% 102.34/15.05 | r2_hidden(v11, v0) = v14 & r2_hidden(v10, v0) = v15 & ( ~
% 102.34/15.05 | (v14 = 0) | ~ (v13 = 0) | v15 = 0)))))) & ! [v1: $i] :
% 102.34/15.05 | ! [v2: $i] : ( ~ (u1_struct_0(v1) = v2) | ~ $i(v1) | ? [v3: any]
% 102.34/15.05 | : ? [v4: $i] : ? [v5: any] : ? [v6: $i] : ? [v7: any] : ?
% 102.34/15.05 | [v8: $i] : ? [v9: $i] : (v12_waybel_0(v4, v1) = v5 &
% 102.34/15.05 | k1_latsum_1(all_39_8, v1) = v8 & k3_xboole_0(v0, v2) = v4 &
% 102.34/15.05 | k1_zfmisc_1(v2) = v6 & m1_subset_1(v4, v6) = v7 &
% 102.34/15.05 | l1_orders_2(v1) = v3 & u1_orders_2(v8) = v9 & $i(v9) & $i(v8) &
% 102.34/15.05 | $i(v6) & $i(v4) & ( ~ (v3 = 0) | ! [v10: $i] : ! [v11: $i] :
% 102.34/15.05 | ! [v12: $i] : ( ~ (v7 = 0) | ~ (v5 = 0) | ~ (k4_tarski(v10,
% 102.34/15.05 | v11) = v12) | ~ $i(v11) | ~ $i(v10) | ? [v13: any] :
% 102.34/15.05 | ? [v14: any] : ? [v15: any] : (r2_hidden(v12, v9) = v13 &
% 102.34/15.05 | r2_hidden(v11, v0) = v14 & r2_hidden(v10, v0) = v15 & ( ~
% 102.34/15.05 | (v14 = 0) | ~ (v13 = 0) | v15 = 0)))))) & ! [v1: $i] :
% 102.34/15.05 | ( ~ (l1_orders_2(v1) = 0) | ~ $i(v1) | ? [v2: $i] : ? [v3: $i] :
% 102.34/15.05 | ? [v4: any] : ? [v5: $i] : ? [v6: any] : ? [v7: $i] : ? [v8:
% 102.34/15.05 | $i] : (v12_waybel_0(v3, v1) = v4 & k1_latsum_1(all_39_8, v1) =
% 102.34/15.05 | v7 & k3_xboole_0(v0, v2) = v3 & k1_zfmisc_1(v2) = v5 &
% 102.34/15.05 | m1_subset_1(v3, v5) = v6 & u1_struct_0(v1) = v2 &
% 102.34/15.05 | u1_orders_2(v7) = v8 & $i(v8) & $i(v7) & $i(v5) & $i(v3) &
% 102.34/15.05 | $i(v2) & ! [v9: $i] : ! [v10: $i] : ! [v11: $i] : ( ~ (v6 =
% 102.34/15.05 | 0) | ~ (v4 = 0) | ~ (k4_tarski(v9, v10) = v11) | ~
% 102.34/15.05 | $i(v10) | ~ $i(v9) | ? [v12: any] : ? [v13: any] : ? [v14:
% 102.34/15.05 | any] : (r2_hidden(v11, v8) = v12 & r2_hidden(v10, v0) = v13
% 102.34/15.05 | & r2_hidden(v9, v0) = v14 & ( ~ (v13 = 0) | ~ (v12 = 0) |
% 102.34/15.05 | v14 = 0))))))
% 102.34/15.05 |
% 102.34/15.05 | GROUND_INST: instantiating (3) with all_39_9, all_39_0, simplifying with (30),
% 102.34/15.05 | (34), (41) gives:
% 102.34/15.05 | (83) ? [v0: int] : ( ~ (v0 = 0) & r2_hidden(all_39_9, all_39_0) = v0)
% 102.34/15.05 |
% 102.34/15.05 | GROUND_INST: instantiating (11) with all_39_10, all_39_9, all_39_8, all_39_7,
% 102.34/15.05 | simplifying with (29), (31), (35), (48) gives:
% 102.34/15.05 | (84) ? [v0: int] : ? [v1: $i] : ? [v2: $i] : ? [v3: any] : ? [v4: $i]
% 102.34/15.05 | : ? [v5: any] : ? [v6: $i] : (( ~ (v0 = 0) & l1_orders_2(all_39_10)
% 102.34/15.05 | = v0) | (v12_waybel_0(v2, all_39_8) = v3 & k3_xboole_0(all_39_9,
% 102.34/15.05 | v1) = v2 & k1_zfmisc_1(v1) = v4 & m1_subset_1(v2, v4) = v5 &
% 102.34/15.05 | l1_orders_2(all_39_8) = v0 & u1_struct_0(all_39_8) = v1 &
% 102.34/15.05 | u1_orders_2(all_39_7) = v6 & $i(v6) & $i(v4) & $i(v2) & $i(v1) & (
% 102.34/15.05 | ~ (v0 = 0) | ! [v7: $i] : ! [v8: $i] : ! [v9: $i] : ( ~ (v5 =
% 102.34/15.05 | 0) | ~ (v3 = 0) | ~ (k4_tarski(v7, v8) = v9) | ~ $i(v8) |
% 102.34/15.05 | ~ $i(v7) | ? [v10: any] : ? [v11: any] : ? [v12: any] :
% 102.34/15.05 | (r2_hidden(v9, v6) = v10 & r2_hidden(v8, all_39_9) = v11 &
% 102.34/15.05 | r2_hidden(v7, all_39_9) = v12 & ( ~ (v11 = 0) | ~ (v10 = 0)
% 102.34/15.05 | | v12 = 0))))))
% 102.34/15.05 |
% 102.34/15.05 | GROUND_INST: instantiating (dt_k1_latsum_1) with all_39_10, all_39_8,
% 102.34/15.05 | all_39_7, simplifying with (29), (31), (48) gives:
% 102.34/15.05 | (85) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? [v3: any] :
% 102.34/15.05 | (v1_orders_2(all_39_7) = v2 & l1_orders_2(all_39_7) = v3 &
% 102.34/15.05 | l1_orders_2(all_39_8) = v1 & l1_orders_2(all_39_10) = v0 & ( ~ (v1 =
% 102.34/15.05 | 0) | ~ (v0 = 0) | (v3 = 0 & v2 = 0)))
% 102.34/15.05 |
% 102.34/15.05 | DELTA: instantiating (83) with fresh symbol all_49_0 gives:
% 102.34/15.05 | (86) ~ (all_49_0 = 0) & r2_hidden(all_39_9, all_39_0) = all_49_0
% 102.34/15.05 |
% 102.34/15.05 | ALPHA: (86) implies:
% 102.34/15.05 | (87) ~ (all_49_0 = 0)
% 102.34/15.05 | (88) r2_hidden(all_39_9, all_39_0) = all_49_0
% 102.34/15.05 |
% 102.34/15.05 | DELTA: instantiating (80) with fresh symbols all_63_0, all_63_1 gives:
% 102.34/15.05 | (89) m2_relset_1(all_63_1, all_63_0, all_63_0) = 0 & u1_struct_0(all_39_8)
% 102.34/15.05 | = all_63_0 & u1_orders_2(all_39_8) = all_63_1 & $i(all_63_0) &
% 102.34/15.05 | $i(all_63_1)
% 102.34/15.05 |
% 102.34/15.05 | ALPHA: (89) implies:
% 102.34/15.05 | (90) u1_struct_0(all_39_8) = all_63_0
% 102.34/15.05 |
% 102.34/15.05 | DELTA: instantiating (73) with fresh symbols all_65_0, all_65_1 gives:
% 102.34/15.05 | (91) m2_relset_1(all_65_1, all_65_0, all_65_0) = 0 & u1_struct_0(all_39_10)
% 102.34/15.05 | = all_65_0 & u1_orders_2(all_39_10) = all_65_1 & $i(all_65_0) &
% 102.34/15.05 | $i(all_65_1)
% 102.34/15.05 |
% 102.34/15.05 | ALPHA: (91) implies:
% 102.34/15.05 | (92) u1_struct_0(all_39_10) = all_65_0
% 102.34/15.05 |
% 102.34/15.05 | DELTA: instantiating (58) with fresh symbols all_67_0, all_67_1, all_67_2
% 102.34/15.05 | gives:
% 102.34/15.05 | (93) m2_relset_1(all_67_1, all_39_5, all_39_5) = all_67_0 &
% 102.34/15.05 | l1_orders_2(all_39_8) = all_67_2 & u1_orders_2(all_39_8) = all_67_1 &
% 102.34/15.05 | $i(all_67_1) & ( ~ (all_67_2 = 0) | all_67_0 = 0)
% 102.34/15.05 |
% 102.34/15.05 | ALPHA: (93) implies:
% 102.34/15.05 | (94) l1_orders_2(all_39_8) = all_67_2
% 102.34/15.05 |
% 102.34/15.05 | DELTA: instantiating (52) with fresh symbols all_69_0, all_69_1, all_69_2
% 102.34/15.05 | gives:
% 102.34/15.05 | (95) m2_relset_1(all_69_1, all_39_9, all_39_9) = all_69_0 &
% 102.34/15.05 | l1_orders_2(all_39_10) = all_69_2 & u1_orders_2(all_39_10) = all_69_1
% 102.34/15.05 | & $i(all_69_1) & ( ~ (all_69_2 = 0) | all_69_0 = 0)
% 102.34/15.05 |
% 102.34/15.05 | ALPHA: (95) implies:
% 102.34/15.05 | (96) l1_orders_2(all_39_10) = all_69_2
% 102.34/15.05 |
% 102.34/15.05 | DELTA: instantiating (66) with fresh symbols all_71_0, all_71_1, all_71_2
% 102.34/15.05 | gives:
% 102.34/15.05 | (97) m2_relset_1(all_71_1, all_39_6, all_39_6) = all_71_0 &
% 102.34/15.05 | l1_orders_2(all_39_7) = all_71_2 & u1_orders_2(all_39_7) = all_71_1 &
% 102.34/15.05 | $i(all_71_1) & ( ~ (all_71_2 = 0) | all_71_0 = 0)
% 102.34/15.05 |
% 102.34/15.05 | ALPHA: (97) implies:
% 102.34/15.05 | (98) u1_orders_2(all_39_7) = all_71_1
% 102.34/15.05 | (99) l1_orders_2(all_39_7) = all_71_2
% 102.34/15.05 |
% 102.34/15.05 | DELTA: instantiating (85) with fresh symbols all_73_0, all_73_1, all_73_2,
% 102.34/15.05 | all_73_3 gives:
% 102.34/15.05 | (100) v1_orders_2(all_39_7) = all_73_1 & l1_orders_2(all_39_7) = all_73_0 &
% 102.34/15.05 | l1_orders_2(all_39_8) = all_73_2 & l1_orders_2(all_39_10) = all_73_3
% 102.34/15.05 | & ( ~ (all_73_2 = 0) | ~ (all_73_3 = 0) | (all_73_0 = 0 & all_73_1 =
% 102.34/15.05 | 0))
% 102.34/15.05 |
% 102.34/15.05 | ALPHA: (100) implies:
% 102.34/15.05 | (101) l1_orders_2(all_39_10) = all_73_3
% 102.34/15.05 | (102) l1_orders_2(all_39_8) = all_73_2
% 102.34/15.05 | (103) l1_orders_2(all_39_7) = all_73_0
% 102.34/15.05 | (104) ~ (all_73_2 = 0) | ~ (all_73_3 = 0) | (all_73_0 = 0 & all_73_1 = 0)
% 102.34/15.05 |
% 102.34/15.05 | DELTA: instantiating (72) with fresh symbols all_75_0, all_75_1, all_75_2,
% 102.34/15.05 | all_75_3 gives:
% 102.34/15.05 | (105) v1_orders_2(all_39_10) = all_75_3 & u1_struct_0(all_39_10) = all_75_2
% 102.34/15.05 | & u1_orders_2(all_39_10) = all_75_1 & g1_orders_2(all_75_2, all_75_1)
% 102.34/15.05 | = all_75_0 & $i(all_75_0) & $i(all_75_1) & $i(all_75_2) & ( ~
% 102.34/15.05 | (all_75_3 = 0) | all_75_0 = all_39_10)
% 102.34/15.05 |
% 102.34/15.05 | ALPHA: (105) implies:
% 102.34/15.05 | (106) u1_struct_0(all_39_10) = all_75_2
% 102.34/15.05 |
% 102.34/15.05 | DELTA: instantiating (79) with fresh symbols all_77_0, all_77_1, all_77_2,
% 102.34/15.05 | all_77_3 gives:
% 102.34/15.05 | (107) v1_orders_2(all_39_8) = all_77_3 & u1_struct_0(all_39_8) = all_77_2 &
% 102.34/15.05 | u1_orders_2(all_39_8) = all_77_1 & g1_orders_2(all_77_2, all_77_1) =
% 102.34/15.05 | all_77_0 & $i(all_77_0) & $i(all_77_1) & $i(all_77_2) & ( ~ (all_77_3
% 102.34/15.05 | = 0) | all_77_0 = all_39_8)
% 102.34/15.05 |
% 102.34/15.05 | ALPHA: (107) implies:
% 102.34/15.05 | (108) u1_struct_0(all_39_8) = all_77_2
% 102.34/15.05 |
% 102.34/15.05 | DELTA: instantiating (51) with fresh symbols all_79_0, all_79_1, all_79_2,
% 102.34/15.05 | all_79_3 gives:
% 102.34/15.06 | (109) v1_orders_2(all_39_10) = all_79_2 & l1_orders_2(all_39_10) = all_79_3
% 102.34/15.06 | & u1_orders_2(all_39_10) = all_79_1 & g1_orders_2(all_39_9, all_79_1)
% 102.34/15.06 | = all_79_0 & $i(all_79_0) & $i(all_79_1) & ( ~ (all_79_2 = 0) | ~
% 102.34/15.06 | (all_79_3 = 0) | all_79_0 = all_39_10)
% 102.34/15.06 |
% 102.34/15.06 | ALPHA: (109) implies:
% 102.34/15.06 | (110) l1_orders_2(all_39_10) = all_79_3
% 102.34/15.06 |
% 102.34/15.06 | DELTA: instantiating (65) with fresh symbols all_83_0, all_83_1, all_83_2,
% 102.34/15.06 | all_83_3 gives:
% 102.34/15.06 | (111) v1_orders_2(all_39_7) = all_83_2 & l1_orders_2(all_39_7) = all_83_3 &
% 102.34/15.06 | u1_orders_2(all_39_7) = all_83_1 & g1_orders_2(all_39_6, all_83_1) =
% 102.34/15.06 | all_83_0 & $i(all_83_0) & $i(all_83_1) & ( ~ (all_83_2 = 0) | ~
% 102.34/15.06 | (all_83_3 = 0) | all_83_0 = all_39_7)
% 102.34/15.06 |
% 102.34/15.06 | ALPHA: (111) implies:
% 102.34/15.06 | (112) u1_orders_2(all_39_7) = all_83_1
% 102.34/15.06 | (113) l1_orders_2(all_39_7) = all_83_3
% 102.34/15.06 |
% 102.34/15.06 | DELTA: instantiating (57) with fresh symbols all_85_0, all_85_1, all_85_2,
% 102.34/15.06 | all_85_3 gives:
% 102.34/15.06 | (114) v1_orders_2(all_39_8) = all_85_2 & l1_orders_2(all_39_8) = all_85_3 &
% 102.34/15.06 | u1_orders_2(all_39_8) = all_85_1 & g1_orders_2(all_39_5, all_85_1) =
% 102.34/15.06 | all_85_0 & $i(all_85_0) & $i(all_85_1) & ( ~ (all_85_2 = 0) | ~
% 102.34/15.06 | (all_85_3 = 0) | all_85_0 = all_39_8)
% 102.34/15.06 |
% 102.34/15.06 | ALPHA: (114) implies:
% 102.34/15.06 | (115) l1_orders_2(all_39_8) = all_85_3
% 102.34/15.06 |
% 102.34/15.06 | DELTA: instantiating (70) with fresh symbols all_87_0, all_87_1, all_87_2,
% 102.34/15.06 | all_87_3, all_87_4, all_87_5, all_87_6 gives:
% 102.34/15.06 | (116) ( ~ (all_87_6 = 0) & l1_orders_2(all_39_8) = all_87_6) |
% 102.34/15.06 | (v12_waybel_0(all_87_5, all_39_10) = all_87_4 & k1_latsum_1(all_39_8,
% 102.34/15.06 | all_39_10) = all_87_1 & k3_xboole_0(all_39_5, all_87_6) =
% 102.34/15.06 | all_87_5 & k1_zfmisc_1(all_87_6) = all_87_3 & m1_subset_1(all_87_5,
% 102.34/15.06 | all_87_3) = all_87_2 & u1_struct_0(all_39_10) = all_87_6 &
% 102.34/15.06 | u1_orders_2(all_87_1) = all_87_0 & $i(all_87_0) & $i(all_87_1) &
% 102.34/15.06 | $i(all_87_3) & $i(all_87_5) & $i(all_87_6) & ! [v0: $i] : ! [v1:
% 102.34/15.06 | $i] : ! [v2: $i] : ( ~ (all_87_2 = 0) | ~ (all_87_4 = 0) | ~
% 102.34/15.06 | (k4_tarski(v0, v1) = v2) | ~ $i(v1) | ~ $i(v0) | ? [v3: any] :
% 102.34/15.06 | ? [v4: any] : ? [v5: any] : (r2_hidden(v2, all_87_0) = v3 &
% 102.34/15.06 | r2_hidden(v1, all_39_5) = v4 & r2_hidden(v0, all_39_5) = v5 & (
% 102.34/15.06 | ~ (v4 = 0) | ~ (v3 = 0) | v5 = 0))))
% 102.34/15.06 |
% 102.34/15.06 | DELTA: instantiating (69) with fresh symbols all_88_0, all_88_1, all_88_2,
% 102.34/15.06 | all_88_3, all_88_4, all_88_5, all_88_6 gives:
% 102.34/15.06 | (117) ( ~ (all_88_6 = 0) & l1_orders_2(all_39_7) = all_88_6) |
% 102.34/15.06 | (v12_waybel_0(all_88_5, all_39_10) = all_88_4 & k1_latsum_1(all_39_7,
% 102.34/15.06 | all_39_10) = all_88_1 & k3_xboole_0(all_39_6, all_88_6) =
% 102.34/15.06 | all_88_5 & k1_zfmisc_1(all_88_6) = all_88_3 & m1_subset_1(all_88_5,
% 102.34/15.06 | all_88_3) = all_88_2 & u1_struct_0(all_39_10) = all_88_6 &
% 102.34/15.06 | u1_orders_2(all_88_1) = all_88_0 & $i(all_88_0) & $i(all_88_1) &
% 102.34/15.06 | $i(all_88_3) & $i(all_88_5) & $i(all_88_6) & ! [v0: $i] : ! [v1:
% 102.34/15.06 | $i] : ! [v2: $i] : ( ~ (all_88_2 = 0) | ~ (all_88_4 = 0) | ~
% 102.34/15.06 | (k4_tarski(v0, v1) = v2) | ~ $i(v1) | ~ $i(v0) | ? [v3: any] :
% 102.34/15.06 | ? [v4: any] : ? [v5: any] : (r2_hidden(v2, all_88_0) = v3 &
% 102.34/15.06 | r2_hidden(v1, all_39_6) = v4 & r2_hidden(v0, all_39_6) = v5 & (
% 102.34/15.06 | ~ (v4 = 0) | ~ (v3 = 0) | v5 = 0))))
% 102.34/15.06 |
% 102.34/15.06 | DELTA: instantiating (55) with fresh symbols all_90_0, all_90_1, all_90_2,
% 102.34/15.06 | all_90_3, all_90_4, all_90_5, all_90_6 gives:
% 102.34/15.06 | (118) ( ~ (all_90_6 = 0) & l1_orders_2(all_39_10) = all_90_6) |
% 102.34/15.06 | (v12_waybel_0(all_90_5, all_39_8) = all_90_4 & k1_latsum_1(all_39_10,
% 102.34/15.06 | all_39_8) = all_90_1 & k3_xboole_0(all_39_9, all_39_5) = all_90_5
% 102.34/15.06 | & k1_zfmisc_1(all_39_5) = all_90_3 & m1_subset_1(all_90_5,
% 102.34/15.06 | all_90_3) = all_90_2 & l1_orders_2(all_39_8) = all_90_6 &
% 102.34/15.06 | u1_orders_2(all_90_1) = all_90_0 & $i(all_90_0) & $i(all_90_1) &
% 102.34/15.06 | $i(all_90_3) & $i(all_90_5) & ( ~ (all_90_6 = 0) | ! [v0: $i] : !
% 102.34/15.06 | [v1: $i] : ! [v2: $i] : ( ~ (all_90_2 = 0) | ~ (all_90_4 = 0) |
% 102.34/15.06 | ~ (k4_tarski(v0, v1) = v2) | ~ $i(v1) | ~ $i(v0) | ? [v3:
% 102.34/15.06 | any] : ? [v4: any] : ? [v5: any] : (r2_hidden(v2, all_90_0)
% 102.34/15.06 | = v3 & r2_hidden(v1, all_39_9) = v4 & r2_hidden(v0, all_39_9)
% 102.34/15.06 | = v5 & ( ~ (v4 = 0) | ~ (v3 = 0) | v5 = 0)))))
% 102.34/15.06 |
% 102.34/15.06 | DELTA: instantiating (54) with fresh symbols all_91_0, all_91_1, all_91_2,
% 102.34/15.06 | all_91_3, all_91_4, all_91_5, all_91_6 gives:
% 102.34/15.06 | (119) ( ~ (all_91_6 = 0) & l1_orders_2(all_39_8) = all_91_6) |
% 102.34/15.06 | (v12_waybel_0(all_91_5, all_39_8) = all_91_4 & k1_latsum_1(all_39_8,
% 102.34/15.06 | all_39_8) = all_91_1 & k3_xboole_0(all_39_5, all_39_5) = all_91_5
% 102.34/15.06 | & k1_zfmisc_1(all_39_5) = all_91_3 & m1_subset_1(all_91_5,
% 102.34/15.06 | all_91_3) = all_91_2 & l1_orders_2(all_39_8) = all_91_6 &
% 102.34/15.06 | u1_orders_2(all_91_1) = all_91_0 & $i(all_91_0) & $i(all_91_1) &
% 102.34/15.06 | $i(all_91_3) & $i(all_91_5) & ( ~ (all_91_6 = 0) | ! [v0: $i] : !
% 102.34/15.06 | [v1: $i] : ! [v2: $i] : ( ~ (all_91_2 = 0) | ~ (all_91_4 = 0) |
% 102.34/15.06 | ~ (k4_tarski(v0, v1) = v2) | ~ $i(v1) | ~ $i(v0) | ? [v3:
% 102.34/15.06 | any] : ? [v4: any] : ? [v5: any] : (r2_hidden(v2, all_91_0)
% 102.34/15.06 | = v3 & r2_hidden(v1, all_39_5) = v4 & r2_hidden(v0, all_39_5)
% 102.34/15.06 | = v5 & ( ~ (v4 = 0) | ~ (v3 = 0) | v5 = 0)))))
% 102.34/15.06 |
% 102.34/15.06 | DELTA: instantiating (63) with fresh symbols all_92_0, all_92_1, all_92_2,
% 102.34/15.06 | all_92_3, all_92_4, all_92_5, all_92_6 gives:
% 102.34/15.06 | (120) ( ~ (all_92_6 = 0) & l1_orders_2(all_39_10) = all_92_6) |
% 102.34/15.06 | (v12_waybel_0(all_92_5, all_39_7) = all_92_4 & k1_latsum_1(all_39_10,
% 102.34/15.06 | all_39_7) = all_92_1 & k3_xboole_0(all_39_9, all_39_6) = all_92_5
% 102.34/15.06 | & k1_zfmisc_1(all_39_6) = all_92_3 & m1_subset_1(all_92_5,
% 102.34/15.06 | all_92_3) = all_92_2 & l1_orders_2(all_39_7) = all_92_6 &
% 102.34/15.06 | u1_orders_2(all_92_1) = all_92_0 & $i(all_92_0) & $i(all_92_1) &
% 102.34/15.06 | $i(all_92_3) & $i(all_92_5) & ( ~ (all_92_6 = 0) | ! [v0: $i] : !
% 102.34/15.06 | [v1: $i] : ! [v2: $i] : ( ~ (all_92_2 = 0) | ~ (all_92_4 = 0) |
% 102.34/15.06 | ~ (k4_tarski(v0, v1) = v2) | ~ $i(v1) | ~ $i(v0) | ? [v3:
% 102.34/15.06 | any] : ? [v4: any] : ? [v5: any] : (r2_hidden(v2, all_92_0)
% 102.34/15.06 | = v3 & r2_hidden(v1, all_39_9) = v4 & r2_hidden(v0, all_39_9)
% 102.34/15.06 | = v5 & ( ~ (v4 = 0) | ~ (v3 = 0) | v5 = 0)))))
% 102.34/15.06 |
% 102.34/15.06 | DELTA: instantiating (62) with fresh symbols all_93_0, all_93_1, all_93_2,
% 102.34/15.06 | all_93_3, all_93_4, all_93_5, all_93_6 gives:
% 102.34/15.07 | (121) ( ~ (all_93_6 = 0) & l1_orders_2(all_39_7) = all_93_6) |
% 102.34/15.07 | (v12_waybel_0(all_93_5, all_39_8) = all_93_4 & k1_latsum_1(all_39_7,
% 102.34/15.07 | all_39_8) = all_93_1 & k3_xboole_0(all_39_6, all_39_5) = all_93_5
% 102.34/15.07 | & k1_zfmisc_1(all_39_5) = all_93_3 & m1_subset_1(all_93_5,
% 102.34/15.07 | all_93_3) = all_93_2 & l1_orders_2(all_39_8) = all_93_6 &
% 102.34/15.07 | u1_orders_2(all_93_1) = all_93_0 & $i(all_93_0) & $i(all_93_1) &
% 102.34/15.07 | $i(all_93_3) & $i(all_93_5) & ( ~ (all_93_6 = 0) | ! [v0: $i] : !
% 102.34/15.07 | [v1: $i] : ! [v2: $i] : ( ~ (all_93_2 = 0) | ~ (all_93_4 = 0) |
% 102.34/15.07 | ~ (k4_tarski(v0, v1) = v2) | ~ $i(v1) | ~ $i(v0) | ? [v3:
% 102.34/15.07 | any] : ? [v4: any] : ? [v5: any] : (r2_hidden(v2, all_93_0)
% 102.34/15.07 | = v3 & r2_hidden(v1, all_39_6) = v4 & r2_hidden(v0, all_39_6)
% 102.34/15.07 | = v5 & ( ~ (v4 = 0) | ~ (v3 = 0) | v5 = 0)))))
% 102.34/15.07 |
% 102.34/15.07 | DELTA: instantiating (56) with fresh symbols all_94_0, all_94_1, all_94_2,
% 102.34/15.07 | all_94_3, all_94_4, all_94_5, all_94_6 gives:
% 102.34/15.07 | (122) ( ~ (all_94_6 = 0) & l1_orders_2(all_39_8) = all_94_6) |
% 102.34/15.07 | (v12_waybel_0(all_94_5, all_39_10) = all_94_4 & k1_latsum_1(all_39_8,
% 102.34/15.07 | all_39_10) = all_94_1 & k3_xboole_0(all_39_5, all_39_9) =
% 102.34/15.07 | all_94_5 & k1_zfmisc_1(all_39_9) = all_94_3 & m1_subset_1(all_94_5,
% 102.34/15.07 | all_94_3) = all_94_2 & l1_orders_2(all_39_10) = all_94_6 &
% 102.34/15.07 | u1_orders_2(all_94_1) = all_94_0 & $i(all_94_0) & $i(all_94_1) &
% 102.34/15.07 | $i(all_94_3) & $i(all_94_5) & ( ~ (all_94_6 = 0) | ! [v0: $i] : !
% 102.34/15.07 | [v1: $i] : ! [v2: $i] : ( ~ (all_94_2 = 0) | ~ (all_94_4 = 0) |
% 102.34/15.07 | ~ (k4_tarski(v0, v1) = v2) | ~ $i(v1) | ~ $i(v0) | ? [v3:
% 102.34/15.07 | any] : ? [v4: any] : ? [v5: any] : (r2_hidden(v2, all_94_0)
% 102.34/15.07 | = v3 & r2_hidden(v1, all_39_5) = v4 & r2_hidden(v0, all_39_5)
% 102.34/15.07 | = v5 & ( ~ (v4 = 0) | ~ (v3 = 0) | v5 = 0)))))
% 102.34/15.07 |
% 102.34/15.07 | DELTA: instantiating (84) with fresh symbols all_95_0, all_95_1, all_95_2,
% 102.34/15.07 | all_95_3, all_95_4, all_95_5, all_95_6 gives:
% 102.34/15.07 | (123) ( ~ (all_95_6 = 0) & l1_orders_2(all_39_10) = all_95_6) |
% 102.34/15.07 | (v12_waybel_0(all_95_4, all_39_8) = all_95_3 & k3_xboole_0(all_39_9,
% 102.34/15.07 | all_95_5) = all_95_4 & k1_zfmisc_1(all_95_5) = all_95_2 &
% 102.34/15.07 | m1_subset_1(all_95_4, all_95_2) = all_95_1 & l1_orders_2(all_39_8)
% 102.34/15.07 | = all_95_6 & u1_struct_0(all_39_8) = all_95_5 &
% 102.34/15.07 | u1_orders_2(all_39_7) = all_95_0 & $i(all_95_0) & $i(all_95_2) &
% 102.34/15.07 | $i(all_95_4) & $i(all_95_5) & ( ~ (all_95_6 = 0) | ! [v0: $i] : !
% 102.34/15.07 | [v1: $i] : ! [v2: $i] : ( ~ (all_95_1 = 0) | ~ (all_95_3 = 0) |
% 102.34/15.07 | ~ (k4_tarski(v0, v1) = v2) | ~ $i(v1) | ~ $i(v0) | ? [v3:
% 102.34/15.07 | any] : ? [v4: any] : ? [v5: any] : (r2_hidden(v2, all_95_0)
% 102.34/15.07 | = v3 & r2_hidden(v1, all_39_9) = v4 & r2_hidden(v0, all_39_9)
% 102.34/15.07 | = v5 & ( ~ (v4 = 0) | ~ (v3 = 0) | v5 = 0)))))
% 102.34/15.07 |
% 102.34/15.07 | DELTA: instantiating (50) with fresh symbols all_96_0, all_96_1, all_96_2,
% 102.34/15.07 | all_96_3, all_96_4, all_96_5, all_96_6 gives:
% 102.34/15.07 | (124) ( ~ (all_96_6 = 0) & l1_orders_2(all_39_10) = all_96_6) |
% 102.34/15.07 | (v12_waybel_0(all_96_5, all_39_10) = all_96_4 &
% 102.34/15.07 | k1_latsum_1(all_39_10, all_39_10) = all_96_1 &
% 102.34/15.07 | k3_xboole_0(all_39_9, all_39_9) = all_96_5 & k1_zfmisc_1(all_39_9)
% 102.34/15.07 | = all_96_3 & m1_subset_1(all_96_5, all_96_3) = all_96_2 &
% 102.34/15.07 | l1_orders_2(all_39_10) = all_96_6 & u1_orders_2(all_96_1) =
% 102.34/15.07 | all_96_0 & $i(all_96_0) & $i(all_96_1) & $i(all_96_3) &
% 102.34/15.07 | $i(all_96_5) & ( ~ (all_96_6 = 0) | ! [v0: $i] : ! [v1: $i] : !
% 102.34/15.07 | [v2: $i] : ( ~ (all_96_2 = 0) | ~ (all_96_4 = 0) | ~
% 102.34/15.07 | (k4_tarski(v0, v1) = v2) | ~ $i(v1) | ~ $i(v0) | ? [v3: any]
% 102.34/15.07 | : ? [v4: any] : ? [v5: any] : (r2_hidden(v2, all_96_0) = v3 &
% 102.34/15.07 | r2_hidden(v1, all_39_9) = v4 & r2_hidden(v0, all_39_9) = v5 &
% 102.34/15.07 | ( ~ (v4 = 0) | ~ (v3 = 0) | v5 = 0)))))
% 102.34/15.07 |
% 102.34/15.07 | DELTA: instantiating (77) with fresh symbols all_97_0, all_97_1, all_97_2,
% 102.34/15.07 | all_97_3, all_97_4, all_97_5, all_97_6 gives:
% 102.34/15.07 | (125) ( ~ (all_97_6 = 0) & l1_orders_2(all_39_8) = all_97_6) |
% 102.34/15.07 | (v12_waybel_0(all_97_5, all_39_8) = all_97_4 & k1_latsum_1(all_39_8,
% 102.34/15.07 | all_39_8) = all_97_1 & k3_xboole_0(all_39_5, all_97_6) = all_97_5
% 102.34/15.07 | & k1_zfmisc_1(all_97_6) = all_97_3 & m1_subset_1(all_97_5,
% 102.34/15.07 | all_97_3) = all_97_2 & u1_struct_0(all_39_8) = all_97_6 &
% 102.34/15.07 | u1_orders_2(all_97_1) = all_97_0 & $i(all_97_0) & $i(all_97_1) &
% 102.34/15.07 | $i(all_97_3) & $i(all_97_5) & $i(all_97_6) & ! [v0: $i] : ! [v1:
% 102.34/15.07 | $i] : ! [v2: $i] : ( ~ (all_97_2 = 0) | ~ (all_97_4 = 0) | ~
% 102.34/15.07 | (k4_tarski(v0, v1) = v2) | ~ $i(v1) | ~ $i(v0) | ? [v3: any] :
% 102.34/15.07 | ? [v4: any] : ? [v5: any] : (r2_hidden(v2, all_97_0) = v3 &
% 102.34/15.07 | r2_hidden(v1, all_39_5) = v4 & r2_hidden(v0, all_39_5) = v5 & (
% 102.34/15.07 | ~ (v4 = 0) | ~ (v3 = 0) | v5 = 0))))
% 102.34/15.07 |
% 102.34/15.07 | DELTA: instantiating (76) with fresh symbols all_98_0, all_98_1, all_98_2,
% 102.34/15.07 | all_98_3, all_98_4, all_98_5, all_98_6 gives:
% 102.34/15.07 | (126) ( ~ (all_98_6 = 0) & l1_orders_2(all_39_7) = all_98_6) |
% 102.34/15.07 | (v12_waybel_0(all_98_5, all_39_8) = all_98_4 & k1_latsum_1(all_39_7,
% 102.34/15.07 | all_39_8) = all_98_1 & k3_xboole_0(all_39_6, all_98_6) = all_98_5
% 102.34/15.07 | & k1_zfmisc_1(all_98_6) = all_98_3 & m1_subset_1(all_98_5,
% 102.34/15.07 | all_98_3) = all_98_2 & u1_struct_0(all_39_8) = all_98_6 &
% 102.34/15.07 | u1_orders_2(all_98_1) = all_98_0 & $i(all_98_0) & $i(all_98_1) &
% 102.34/15.07 | $i(all_98_3) & $i(all_98_5) & $i(all_98_6) & ! [v0: $i] : ! [v1:
% 102.34/15.07 | $i] : ! [v2: $i] : ( ~ (all_98_2 = 0) | ~ (all_98_4 = 0) | ~
% 102.34/15.07 | (k4_tarski(v0, v1) = v2) | ~ $i(v1) | ~ $i(v0) | ? [v3: any] :
% 102.34/15.07 | ? [v4: any] : ? [v5: any] : (r2_hidden(v2, all_98_0) = v3 &
% 102.34/15.07 | r2_hidden(v1, all_39_6) = v4 & r2_hidden(v0, all_39_6) = v5 & (
% 102.34/15.07 | ~ (v4 = 0) | ~ (v3 = 0) | v5 = 0))))
% 102.34/15.07 |
% 102.34/15.07 | DELTA: instantiating (61) with fresh symbols all_99_0, all_99_1, all_99_2,
% 102.34/15.07 | all_99_3, all_99_4, all_99_5, all_99_6 gives:
% 102.34/15.07 | (127) ( ~ (all_99_6 = 0) & l1_orders_2(all_39_8) = all_99_6) |
% 102.34/15.07 | (v12_waybel_0(all_99_5, all_39_7) = all_99_4 & k1_latsum_1(all_39_8,
% 102.34/15.07 | all_39_7) = all_99_1 & k3_xboole_0(all_39_5, all_39_6) = all_99_5
% 102.34/15.07 | & k1_zfmisc_1(all_39_6) = all_99_3 & m1_subset_1(all_99_5,
% 102.34/15.07 | all_99_3) = all_99_2 & l1_orders_2(all_39_7) = all_99_6 &
% 102.34/15.07 | u1_orders_2(all_99_1) = all_99_0 & $i(all_99_0) & $i(all_99_1) &
% 102.34/15.07 | $i(all_99_3) & $i(all_99_5) & ( ~ (all_99_6 = 0) | ! [v0: $i] : !
% 102.34/15.07 | [v1: $i] : ! [v2: $i] : ( ~ (all_99_2 = 0) | ~ (all_99_4 = 0) |
% 102.34/15.07 | ~ (k4_tarski(v0, v1) = v2) | ~ $i(v1) | ~ $i(v0) | ? [v3:
% 102.34/15.07 | any] : ? [v4: any] : ? [v5: any] : (r2_hidden(v2, all_99_0)
% 102.34/15.07 | = v3 & r2_hidden(v1, all_39_5) = v4 & r2_hidden(v0, all_39_5)
% 102.34/15.07 | = v5 & ( ~ (v4 = 0) | ~ (v3 = 0) | v5 = 0)))))
% 102.34/15.07 |
% 102.34/15.07 | DELTA: instantiating (60) with fresh symbols all_100_0, all_100_1, all_100_2,
% 102.34/15.07 | all_100_3, all_100_4, all_100_5, all_100_6 gives:
% 102.34/15.08 | (128) ( ~ (all_100_6 = 0) & l1_orders_2(all_39_7) = all_100_6) |
% 102.34/15.08 | (v12_waybel_0(all_100_5, all_39_7) = all_100_4 &
% 102.34/15.08 | k1_latsum_1(all_39_7, all_39_7) = all_100_1 & k3_xboole_0(all_39_6,
% 102.34/15.08 | all_39_6) = all_100_5 & k1_zfmisc_1(all_39_6) = all_100_3 &
% 102.34/15.08 | m1_subset_1(all_100_5, all_100_3) = all_100_2 &
% 102.34/15.08 | l1_orders_2(all_39_7) = all_100_6 & u1_orders_2(all_100_1) =
% 102.34/15.08 | all_100_0 & $i(all_100_0) & $i(all_100_1) & $i(all_100_3) &
% 102.34/15.08 | $i(all_100_5) & ( ~ (all_100_6 = 0) | ! [v0: $i] : ! [v1: $i] :
% 102.34/15.08 | ! [v2: $i] : ( ~ (all_100_2 = 0) | ~ (all_100_4 = 0) | ~
% 102.34/15.08 | (k4_tarski(v0, v1) = v2) | ~ $i(v1) | ~ $i(v0) | ? [v3: any]
% 102.34/15.08 | : ? [v4: any] : ? [v5: any] : (r2_hidden(v2, all_100_0) = v3
% 102.34/15.08 | & r2_hidden(v1, all_39_6) = v4 & r2_hidden(v0, all_39_6) = v5
% 102.34/15.08 | & ( ~ (v4 = 0) | ~ (v3 = 0) | v5 = 0)))))
% 102.34/15.08 |
% 102.34/15.08 | DELTA: instantiating (71) with fresh symbols all_101_0, all_101_1, all_101_2,
% 102.34/15.08 | all_101_3, all_101_4, all_101_5, all_101_6 gives:
% 102.34/15.08 | (129) ( ~ (all_101_6 = 0) & l1_orders_2(all_39_10) = all_101_6) |
% 102.34/15.08 | (v12_waybel_0(all_101_5, all_39_10) = all_101_4 &
% 102.34/15.08 | k1_latsum_1(all_39_10, all_39_10) = all_101_1 &
% 102.34/15.08 | k3_xboole_0(all_39_9, all_101_6) = all_101_5 &
% 102.34/15.08 | k1_zfmisc_1(all_101_6) = all_101_3 & m1_subset_1(all_101_5,
% 102.34/15.08 | all_101_3) = all_101_2 & u1_struct_0(all_39_10) = all_101_6 &
% 102.34/15.08 | u1_orders_2(all_101_1) = all_101_0 & $i(all_101_0) & $i(all_101_1)
% 102.34/15.08 | & $i(all_101_3) & $i(all_101_5) & $i(all_101_6) & ! [v0: $i] : !
% 102.34/15.08 | [v1: $i] : ! [v2: $i] : ( ~ (all_101_2 = 0) | ~ (all_101_4 = 0) |
% 102.34/15.08 | ~ (k4_tarski(v0, v1) = v2) | ~ $i(v1) | ~ $i(v0) | ? [v3:
% 102.34/15.08 | any] : ? [v4: any] : ? [v5: any] : (r2_hidden(v2, all_101_0)
% 102.34/15.08 | = v3 & r2_hidden(v1, all_39_9) = v4 & r2_hidden(v0, all_39_9) =
% 102.34/15.08 | v5 & ( ~ (v4 = 0) | ~ (v3 = 0) | v5 = 0))))
% 102.34/15.08 |
% 102.34/15.08 | DELTA: instantiating (64) with fresh symbols all_104_0, all_104_1, all_104_2,
% 102.34/15.08 | all_104_3, all_104_4, all_104_5, all_104_6 gives:
% 102.34/15.08 | (130) ( ~ (all_104_6 = 0) & l1_orders_2(all_39_7) = all_104_6) |
% 102.34/15.08 | (v12_waybel_0(all_104_5, all_39_10) = all_104_4 &
% 102.34/15.08 | k1_latsum_1(all_39_7, all_39_10) = all_104_1 &
% 102.34/15.08 | k3_xboole_0(all_39_6, all_39_9) = all_104_5 & k1_zfmisc_1(all_39_9)
% 102.34/15.08 | = all_104_3 & m1_subset_1(all_104_5, all_104_3) = all_104_2 &
% 102.34/15.08 | l1_orders_2(all_39_10) = all_104_6 & u1_orders_2(all_104_1) =
% 102.34/15.08 | all_104_0 & $i(all_104_0) & $i(all_104_1) & $i(all_104_3) &
% 102.34/15.08 | $i(all_104_5) & ( ~ (all_104_6 = 0) | ! [v0: $i] : ! [v1: $i] :
% 102.34/15.08 | ! [v2: $i] : ( ~ (all_104_2 = 0) | ~ (all_104_4 = 0) | ~
% 102.34/15.08 | (k4_tarski(v0, v1) = v2) | ~ $i(v1) | ~ $i(v0) | ? [v3: any]
% 102.34/15.08 | : ? [v4: any] : ? [v5: any] : (r2_hidden(v2, all_104_0) = v3
% 102.34/15.08 | & r2_hidden(v1, all_39_6) = v4 & r2_hidden(v0, all_39_6) = v5
% 102.34/15.08 | & ( ~ (v4 = 0) | ~ (v3 = 0) | v5 = 0)))))
% 102.34/15.08 |
% 102.34/15.08 | DELTA: instantiating (78) with fresh symbols all_105_0, all_105_1, all_105_2,
% 102.34/15.08 | all_105_3, all_105_4, all_105_5, all_105_6 gives:
% 102.34/15.08 | (131) ( ~ (all_105_6 = 0) & l1_orders_2(all_39_10) = all_105_6) |
% 102.34/15.08 | (v12_waybel_0(all_105_5, all_39_8) = all_105_4 &
% 102.34/15.08 | k1_latsum_1(all_39_10, all_39_8) = all_105_1 &
% 102.34/15.08 | k3_xboole_0(all_39_9, all_105_6) = all_105_5 &
% 102.34/15.08 | k1_zfmisc_1(all_105_6) = all_105_3 & m1_subset_1(all_105_5,
% 102.34/15.08 | all_105_3) = all_105_2 & u1_struct_0(all_39_8) = all_105_6 &
% 102.34/15.08 | u1_orders_2(all_105_1) = all_105_0 & $i(all_105_0) & $i(all_105_1)
% 102.34/15.08 | & $i(all_105_3) & $i(all_105_5) & $i(all_105_6) & ! [v0: $i] : !
% 102.34/15.08 | [v1: $i] : ! [v2: $i] : ( ~ (all_105_2 = 0) | ~ (all_105_4 = 0) |
% 102.34/15.08 | ~ (k4_tarski(v0, v1) = v2) | ~ $i(v1) | ~ $i(v0) | ? [v3:
% 102.34/15.08 | any] : ? [v4: any] : ? [v5: any] : (r2_hidden(v2, all_105_0)
% 102.34/15.08 | = v3 & r2_hidden(v1, all_39_9) = v4 & r2_hidden(v0, all_39_9) =
% 102.34/15.08 | v5 & ( ~ (v4 = 0) | ~ (v3 = 0) | v5 = 0))))
% 102.34/15.08 |
% 102.34/15.08 | DELTA: instantiating (74) with fresh symbols all_106_0, all_106_1 gives:
% 102.34/15.08 | (132) u1_struct_0(all_39_10) = all_106_1 & u1_orders_2(all_39_10) =
% 102.34/15.08 | all_106_0 & $i(all_106_0) & $i(all_106_1) & ! [v0: $i] : ! [v1: $i]
% 102.34/15.08 | : ! [v2: $i] : ( ~ (k4_tarski(v0, v1) = v2) | ~ (m1_subset_1(v0,
% 102.34/15.08 | all_106_1) = 0) | ~ $i(v1) | ~ $i(v0) | ? [v3: any] : ?
% 102.34/15.08 | [v4: any] : ? [v5: any] : (r1_orders_2(all_39_10, v0, v1) = v4 &
% 102.34/15.08 | m1_subset_1(v1, all_106_1) = v3 & r2_hidden(v2, all_106_0) = v5 &
% 102.34/15.08 | ( ~ (v3 = 0) | (( ~ (v5 = 0) | v4 = 0) & ( ~ (v4 = 0) | v5 =
% 102.34/15.08 | 0))))) & ! [v0: $i] : ! [v1: $i] : ! [v2: any] : ( ~
% 102.34/15.08 | (r1_orders_2(all_39_10, v0, v1) = v2) | ~ (m1_subset_1(v0,
% 102.34/15.08 | all_106_1) = 0) | ~ $i(v1) | ~ $i(v0) | ? [v3: any] : ?
% 102.34/15.08 | [v4: $i] : ? [v5: any] : (k4_tarski(v0, v1) = v4 & m1_subset_1(v1,
% 102.34/15.08 | all_106_1) = v3 & r2_hidden(v4, all_106_0) = v5 & $i(v4) & ( ~
% 102.34/15.08 | (v3 = 0) | (( ~ (v5 = 0) | v2 = 0) & ( ~ (v2 = 0) | v5 = 0)))))
% 102.34/15.08 | & ! [v0: $i] : ! [v1: $i] : ( ~ (m1_subset_1(v1, all_106_1) = 0) |
% 102.34/15.08 | ~ (m1_subset_1(v0, all_106_1) = 0) | ~ $i(v1) | ~ $i(v0) | ?
% 102.34/15.08 | [v2: any] : ? [v3: $i] : ? [v4: any] : (k4_tarski(v0, v1) = v3 &
% 102.34/15.08 | r1_orders_2(all_39_10, v0, v1) = v2 & r2_hidden(v3, all_106_0) =
% 102.34/15.08 | v4 & $i(v3) & ( ~ (v4 = 0) | v2 = 0) & ( ~ (v2 = 0) | v4 = 0)))
% 102.34/15.08 |
% 102.34/15.08 | ALPHA: (132) implies:
% 102.34/15.08 | (133) u1_struct_0(all_39_10) = all_106_1
% 102.34/15.08 |
% 102.34/15.08 | DELTA: instantiating (59) with fresh symbols all_109_0, all_109_1 gives:
% 102.34/15.08 | (134) l1_orders_2(all_39_8) = all_109_1 & u1_orders_2(all_39_8) = all_109_0
% 102.34/15.08 | & $i(all_109_0) & ( ~ (all_109_1 = 0) | ( ! [v0: $i] : ! [v1: $i] :
% 102.34/15.08 | ! [v2: $i] : ( ~ (k4_tarski(v0, v1) = v2) | ~ (m1_subset_1(v0,
% 102.34/15.08 | all_39_5) = 0) | ~ $i(v1) | ~ $i(v0) | ? [v3: any] : ?
% 102.34/15.08 | [v4: any] : ? [v5: any] : (r1_orders_2(all_39_8, v0, v1) = v4
% 102.34/15.08 | & m1_subset_1(v1, all_39_5) = v3 & r2_hidden(v2, all_109_0) =
% 102.34/15.08 | v5 & ( ~ (v3 = 0) | (( ~ (v5 = 0) | v4 = 0) & ( ~ (v4 = 0) |
% 102.34/15.08 | v5 = 0))))) & ! [v0: $i] : ! [v1: $i] : ! [v2: any]
% 102.34/15.08 | : ( ~ (r1_orders_2(all_39_8, v0, v1) = v2) | ~ (m1_subset_1(v0,
% 102.34/15.08 | all_39_5) = 0) | ~ $i(v1) | ~ $i(v0) | ? [v3: any] : ?
% 102.34/15.08 | [v4: $i] : ? [v5: any] : (k4_tarski(v0, v1) = v4 &
% 102.34/15.08 | m1_subset_1(v1, all_39_5) = v3 & r2_hidden(v4, all_109_0) =
% 102.34/15.08 | v5 & $i(v4) & ( ~ (v3 = 0) | (( ~ (v5 = 0) | v2 = 0) & ( ~
% 102.34/15.08 | (v2 = 0) | v5 = 0))))) & ! [v0: $i] : ! [v1: $i] : (
% 102.34/15.08 | ~ (m1_subset_1(v1, all_39_5) = 0) | ~ (m1_subset_1(v0,
% 102.34/15.08 | all_39_5) = 0) | ~ $i(v1) | ~ $i(v0) | ? [v2: any] : ?
% 102.34/15.08 | [v3: $i] : ? [v4: any] : (k4_tarski(v0, v1) = v3 &
% 102.34/15.08 | r1_orders_2(all_39_8, v0, v1) = v2 & r2_hidden(v3, all_109_0)
% 102.34/15.08 | = v4 & $i(v3) & ( ~ (v4 = 0) | v2 = 0) & ( ~ (v2 = 0) | v4 =
% 102.34/15.08 | 0)))))
% 102.34/15.08 |
% 102.34/15.08 | ALPHA: (134) implies:
% 102.34/15.08 | (135) l1_orders_2(all_39_8) = all_109_1
% 102.34/15.08 |
% 102.34/15.08 | DELTA: instantiating (53) with fresh symbols all_111_0, all_111_1 gives:
% 102.34/15.09 | (136) l1_orders_2(all_39_10) = all_111_1 & u1_orders_2(all_39_10) =
% 102.34/15.09 | all_111_0 & $i(all_111_0) & ( ~ (all_111_1 = 0) | ( ! [v0: $i] : !
% 102.34/15.09 | [v1: $i] : ! [v2: $i] : ( ~ (k4_tarski(v0, v1) = v2) | ~
% 102.34/15.09 | (m1_subset_1(v0, all_39_9) = 0) | ~ $i(v1) | ~ $i(v0) | ?
% 102.34/15.09 | [v3: any] : ? [v4: any] : ? [v5: any] :
% 102.34/15.09 | (r1_orders_2(all_39_10, v0, v1) = v4 & m1_subset_1(v1,
% 102.34/15.09 | all_39_9) = v3 & r2_hidden(v2, all_111_0) = v5 & ( ~ (v3 =
% 102.34/15.09 | 0) | (( ~ (v5 = 0) | v4 = 0) & ( ~ (v4 = 0) | v5 = 0)))))
% 102.34/15.09 | & ! [v0: $i] : ! [v1: $i] : ! [v2: any] : ( ~
% 102.34/15.09 | (r1_orders_2(all_39_10, v0, v1) = v2) | ~ (m1_subset_1(v0,
% 102.34/15.09 | all_39_9) = 0) | ~ $i(v1) | ~ $i(v0) | ? [v3: any] : ?
% 102.34/15.09 | [v4: $i] : ? [v5: any] : (k4_tarski(v0, v1) = v4 &
% 102.34/15.09 | m1_subset_1(v1, all_39_9) = v3 & r2_hidden(v4, all_111_0) =
% 102.34/15.09 | v5 & $i(v4) & ( ~ (v3 = 0) | (( ~ (v5 = 0) | v2 = 0) & ( ~
% 102.34/15.09 | (v2 = 0) | v5 = 0))))) & ! [v0: $i] : ! [v1: $i] : (
% 102.34/15.09 | ~ (m1_subset_1(v1, all_39_9) = 0) | ~ (m1_subset_1(v0,
% 102.34/15.09 | all_39_9) = 0) | ~ $i(v1) | ~ $i(v0) | ? [v2: any] : ?
% 102.34/15.09 | [v3: $i] : ? [v4: any] : (k4_tarski(v0, v1) = v3 &
% 102.34/15.09 | r1_orders_2(all_39_10, v0, v1) = v2 & r2_hidden(v3,
% 102.34/15.09 | all_111_0) = v4 & $i(v3) & ( ~ (v4 = 0) | v2 = 0) & ( ~ (v2
% 102.34/15.09 | = 0) | v4 = 0)))))
% 102.34/15.09 |
% 102.34/15.09 | ALPHA: (136) implies:
% 102.34/15.09 | (137) l1_orders_2(all_39_10) = all_111_1
% 102.34/15.09 |
% 102.34/15.09 | DELTA: instantiating (67) with fresh symbols all_113_0, all_113_1 gives:
% 102.34/15.09 | (138) l1_orders_2(all_39_7) = all_113_1 & u1_orders_2(all_39_7) = all_113_0
% 102.34/15.09 | & $i(all_113_0) & ( ~ (all_113_1 = 0) | ( ! [v0: $i] : ! [v1: $i] :
% 102.34/15.09 | ! [v2: $i] : ( ~ (k4_tarski(v0, v1) = v2) | ~ (m1_subset_1(v0,
% 102.34/15.09 | all_39_6) = 0) | ~ $i(v1) | ~ $i(v0) | ? [v3: any] : ?
% 102.34/15.09 | [v4: any] : ? [v5: any] : (r1_orders_2(all_39_7, v0, v1) = v4
% 102.34/15.09 | & m1_subset_1(v1, all_39_6) = v3 & r2_hidden(v2, all_113_0) =
% 102.34/15.09 | v5 & ( ~ (v3 = 0) | (( ~ (v5 = 0) | v4 = 0) & ( ~ (v4 = 0) |
% 102.34/15.09 | v5 = 0))))) & ! [v0: $i] : ! [v1: $i] : ! [v2: any]
% 102.34/15.09 | : ( ~ (r1_orders_2(all_39_7, v0, v1) = v2) | ~ (m1_subset_1(v0,
% 102.34/15.09 | all_39_6) = 0) | ~ $i(v1) | ~ $i(v0) | ? [v3: any] : ?
% 102.34/15.09 | [v4: $i] : ? [v5: any] : (k4_tarski(v0, v1) = v4 &
% 102.34/15.09 | m1_subset_1(v1, all_39_6) = v3 & r2_hidden(v4, all_113_0) =
% 102.34/15.09 | v5 & $i(v4) & ( ~ (v3 = 0) | (( ~ (v5 = 0) | v2 = 0) & ( ~
% 102.34/15.09 | (v2 = 0) | v5 = 0))))) & ! [v0: $i] : ! [v1: $i] : (
% 102.34/15.09 | ~ (m1_subset_1(v1, all_39_6) = 0) | ~ (m1_subset_1(v0,
% 102.34/15.09 | all_39_6) = 0) | ~ $i(v1) | ~ $i(v0) | ? [v2: any] : ?
% 102.34/15.09 | [v3: $i] : ? [v4: any] : (k4_tarski(v0, v1) = v3 &
% 102.34/15.09 | r1_orders_2(all_39_7, v0, v1) = v2 & r2_hidden(v3, all_113_0)
% 102.34/15.09 | = v4 & $i(v3) & ( ~ (v4 = 0) | v2 = 0) & ( ~ (v2 = 0) | v4 =
% 102.34/15.09 | 0)))))
% 102.34/15.09 |
% 102.34/15.09 | ALPHA: (138) implies:
% 102.34/15.09 | (139) u1_orders_2(all_39_7) = all_113_0
% 102.34/15.09 | (140) l1_orders_2(all_39_7) = all_113_1
% 102.34/15.09 | (141) ~ (all_113_1 = 0) | ( ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~
% 102.34/15.09 | (k4_tarski(v0, v1) = v2) | ~ (m1_subset_1(v0, all_39_6) = 0) |
% 102.34/15.09 | ~ $i(v1) | ~ $i(v0) | ? [v3: any] : ? [v4: any] : ? [v5: any]
% 102.34/15.09 | : (r1_orders_2(all_39_7, v0, v1) = v4 & m1_subset_1(v1, all_39_6)
% 102.34/15.09 | = v3 & r2_hidden(v2, all_113_0) = v5 & ( ~ (v3 = 0) | (( ~ (v5
% 102.34/15.09 | = 0) | v4 = 0) & ( ~ (v4 = 0) | v5 = 0))))) & ! [v0:
% 102.34/15.09 | $i] : ! [v1: $i] : ! [v2: any] : ( ~ (r1_orders_2(all_39_7, v0,
% 102.34/15.09 | v1) = v2) | ~ (m1_subset_1(v0, all_39_6) = 0) | ~ $i(v1) |
% 102.34/15.09 | ~ $i(v0) | ? [v3: any] : ? [v4: $i] : ? [v5: any] :
% 102.34/15.09 | (k4_tarski(v0, v1) = v4 & m1_subset_1(v1, all_39_6) = v3 &
% 102.34/15.09 | r2_hidden(v4, all_113_0) = v5 & $i(v4) & ( ~ (v3 = 0) | (( ~
% 102.34/15.09 | (v5 = 0) | v2 = 0) & ( ~ (v2 = 0) | v5 = 0))))) & ! [v0:
% 102.34/15.09 | $i] : ! [v1: $i] : ( ~ (m1_subset_1(v1, all_39_6) = 0) | ~
% 102.34/15.09 | (m1_subset_1(v0, all_39_6) = 0) | ~ $i(v1) | ~ $i(v0) | ? [v2:
% 102.34/15.09 | any] : ? [v3: $i] : ? [v4: any] : (k4_tarski(v0, v1) = v3 &
% 102.34/15.09 | r1_orders_2(all_39_7, v0, v1) = v2 & r2_hidden(v3, all_113_0) =
% 102.34/15.09 | v4 & $i(v3) & ( ~ (v4 = 0) | v2 = 0) & ( ~ (v2 = 0) | v4 =
% 102.34/15.09 | 0))))
% 102.34/15.09 |
% 102.34/15.09 | DELTA: instantiating (81) with fresh symbols all_115_0, all_115_1 gives:
% 102.34/15.09 | (142) u1_struct_0(all_39_8) = all_115_1 & u1_orders_2(all_39_8) = all_115_0
% 102.34/15.09 | & $i(all_115_0) & $i(all_115_1) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 102.34/15.09 | $i] : ( ~ (k4_tarski(v0, v1) = v2) | ~ (m1_subset_1(v0, all_115_1)
% 102.34/15.09 | = 0) | ~ $i(v1) | ~ $i(v0) | ? [v3: any] : ? [v4: any] : ?
% 102.34/15.09 | [v5: any] : (r1_orders_2(all_39_8, v0, v1) = v4 & m1_subset_1(v1,
% 102.34/15.09 | all_115_1) = v3 & r2_hidden(v2, all_115_0) = v5 & ( ~ (v3 = 0)
% 102.34/15.09 | | (( ~ (v5 = 0) | v4 = 0) & ( ~ (v4 = 0) | v5 = 0))))) & !
% 102.34/15.09 | [v0: $i] : ! [v1: $i] : ! [v2: any] : ( ~ (r1_orders_2(all_39_8,
% 102.34/15.09 | v0, v1) = v2) | ~ (m1_subset_1(v0, all_115_1) = 0) | ~ $i(v1)
% 102.34/15.09 | | ~ $i(v0) | ? [v3: any] : ? [v4: $i] : ? [v5: any] :
% 102.34/15.09 | (k4_tarski(v0, v1) = v4 & m1_subset_1(v1, all_115_1) = v3 &
% 102.34/15.09 | r2_hidden(v4, all_115_0) = v5 & $i(v4) & ( ~ (v3 = 0) | (( ~ (v5
% 102.34/15.09 | = 0) | v2 = 0) & ( ~ (v2 = 0) | v5 = 0))))) & ! [v0: $i]
% 102.34/15.09 | : ! [v1: $i] : ( ~ (m1_subset_1(v1, all_115_1) = 0) | ~
% 102.34/15.09 | (m1_subset_1(v0, all_115_1) = 0) | ~ $i(v1) | ~ $i(v0) | ? [v2:
% 102.34/15.09 | any] : ? [v3: $i] : ? [v4: any] : (k4_tarski(v0, v1) = v3 &
% 102.34/15.09 | r1_orders_2(all_39_8, v0, v1) = v2 & r2_hidden(v3, all_115_0) =
% 102.34/15.09 | v4 & $i(v3) & ( ~ (v4 = 0) | v2 = 0) & ( ~ (v2 = 0) | v4 = 0)))
% 102.34/15.09 |
% 102.34/15.09 | ALPHA: (142) implies:
% 102.34/15.09 | (143) u1_struct_0(all_39_8) = all_115_1
% 102.34/15.09 |
% 102.34/15.09 | DELTA: instantiating (82) with fresh symbol all_121_0 gives:
% 102.34/15.09 | (144) u1_struct_0(all_39_8) = all_121_0 & $i(all_121_0) & ! [v0: $i] : !
% 102.34/15.09 | [v1: $i] : ( ~ (k1_latsum_1(all_39_8, v0) = v1) | ~ $i(v0) | ? [v2:
% 102.34/15.09 | any] : ? [v3: $i] : ? [v4: $i] : ? [v5: any] : ? [v6: $i] :
% 102.34/15.09 | ? [v7: any] : ? [v8: $i] : (v12_waybel_0(v4, v0) = v5 &
% 102.34/15.09 | k3_xboole_0(all_121_0, v3) = v4 & k1_zfmisc_1(v3) = v6 &
% 102.34/15.09 | m1_subset_1(v4, v6) = v7 & l1_orders_2(v0) = v2 & u1_struct_0(v0)
% 102.34/15.09 | = v3 & u1_orders_2(v1) = v8 & $i(v8) & $i(v6) & $i(v4) & $i(v3) &
% 102.34/15.09 | ( ~ (v2 = 0) | ! [v9: $i] : ! [v10: $i] : ! [v11: $i] : ( ~
% 102.34/15.09 | (v7 = 0) | ~ (v5 = 0) | ~ (k4_tarski(v9, v10) = v11) | ~
% 102.34/15.09 | $i(v10) | ~ $i(v9) | ? [v12: any] : ? [v13: any] : ?
% 102.34/15.09 | [v14: any] : (r2_hidden(v11, v8) = v12 & r2_hidden(v10,
% 102.34/15.09 | all_121_0) = v13 & r2_hidden(v9, all_121_0) = v14 & ( ~
% 102.34/15.09 | (v13 = 0) | ~ (v12 = 0) | v14 = 0)))))) & ! [v0: $i] :
% 102.34/15.09 | ! [v1: $i] : ( ~ (u1_struct_0(v0) = v1) | ~ $i(v0) | ? [v2: any] :
% 102.34/15.09 | ? [v3: $i] : ? [v4: any] : ? [v5: $i] : ? [v6: any] : ? [v7:
% 102.34/15.09 | $i] : ? [v8: $i] : (v12_waybel_0(v3, v0) = v4 &
% 102.34/15.09 | k1_latsum_1(all_39_8, v0) = v7 & k3_xboole_0(all_121_0, v1) = v3
% 102.34/15.09 | & k1_zfmisc_1(v1) = v5 & m1_subset_1(v3, v5) = v6 &
% 102.34/15.09 | l1_orders_2(v0) = v2 & u1_orders_2(v7) = v8 & $i(v8) & $i(v7) &
% 102.34/15.09 | $i(v5) & $i(v3) & ( ~ (v2 = 0) | ! [v9: $i] : ! [v10: $i] : !
% 102.34/15.09 | [v11: $i] : ( ~ (v6 = 0) | ~ (v4 = 0) | ~ (k4_tarski(v9, v10)
% 102.34/15.09 | = v11) | ~ $i(v10) | ~ $i(v9) | ? [v12: any] : ? [v13:
% 102.34/15.09 | any] : ? [v14: any] : (r2_hidden(v11, v8) = v12 &
% 102.34/15.09 | r2_hidden(v10, all_121_0) = v13 & r2_hidden(v9, all_121_0)
% 102.34/15.09 | = v14 & ( ~ (v13 = 0) | ~ (v12 = 0) | v14 = 0)))))) & !
% 102.34/15.09 | [v0: $i] : ( ~ (l1_orders_2(v0) = 0) | ~ $i(v0) | ? [v1: $i] : ?
% 102.34/15.09 | [v2: $i] : ? [v3: any] : ? [v4: $i] : ? [v5: any] : ? [v6: $i]
% 102.34/15.09 | : ? [v7: $i] : (v12_waybel_0(v2, v0) = v3 & k1_latsum_1(all_39_8,
% 102.34/15.09 | v0) = v6 & k3_xboole_0(all_121_0, v1) = v2 & k1_zfmisc_1(v1) =
% 102.34/15.09 | v4 & m1_subset_1(v2, v4) = v5 & u1_struct_0(v0) = v1 &
% 102.34/15.09 | u1_orders_2(v6) = v7 & $i(v7) & $i(v6) & $i(v4) & $i(v2) & $i(v1)
% 102.34/15.09 | & ! [v8: $i] : ! [v9: $i] : ! [v10: $i] : ( ~ (v5 = 0) | ~
% 102.34/15.09 | (v3 = 0) | ~ (k4_tarski(v8, v9) = v10) | ~ $i(v9) | ~ $i(v8)
% 102.34/15.09 | | ? [v11: any] : ? [v12: any] : ? [v13: any] :
% 102.34/15.09 | (r2_hidden(v10, v7) = v11 & r2_hidden(v9, all_121_0) = v12 &
% 102.34/15.09 | r2_hidden(v8, all_121_0) = v13 & ( ~ (v12 = 0) | ~ (v11 = 0)
% 102.34/15.09 | | v13 = 0)))))
% 102.34/15.09 |
% 102.34/15.09 | ALPHA: (144) implies:
% 102.34/15.09 | (145) u1_struct_0(all_39_8) = all_121_0
% 102.34/15.09 | (146) ! [v0: $i] : ( ~ (l1_orders_2(v0) = 0) | ~ $i(v0) | ? [v1: $i] :
% 102.34/15.09 | ? [v2: $i] : ? [v3: any] : ? [v4: $i] : ? [v5: any] : ? [v6:
% 102.34/15.09 | $i] : ? [v7: $i] : (v12_waybel_0(v2, v0) = v3 &
% 102.34/15.09 | k1_latsum_1(all_39_8, v0) = v6 & k3_xboole_0(all_121_0, v1) = v2
% 102.34/15.09 | & k1_zfmisc_1(v1) = v4 & m1_subset_1(v2, v4) = v5 &
% 102.34/15.10 | u1_struct_0(v0) = v1 & u1_orders_2(v6) = v7 & $i(v7) & $i(v6) &
% 102.34/15.10 | $i(v4) & $i(v2) & $i(v1) & ! [v8: $i] : ! [v9: $i] : ! [v10:
% 102.34/15.10 | $i] : ( ~ (v5 = 0) | ~ (v3 = 0) | ~ (k4_tarski(v8, v9) = v10)
% 102.34/15.10 | | ~ $i(v9) | ~ $i(v8) | ? [v11: any] : ? [v12: any] : ?
% 102.34/15.10 | [v13: any] : (r2_hidden(v10, v7) = v11 & r2_hidden(v9,
% 102.34/15.10 | all_121_0) = v12 & r2_hidden(v8, all_121_0) = v13 & ( ~
% 102.34/15.10 | (v12 = 0) | ~ (v11 = 0) | v13 = 0)))))
% 102.34/15.10 | (147) ! [v0: $i] : ! [v1: $i] : ( ~ (u1_struct_0(v0) = v1) | ~ $i(v0) |
% 102.34/15.10 | ? [v2: any] : ? [v3: $i] : ? [v4: any] : ? [v5: $i] : ? [v6:
% 102.34/15.10 | any] : ? [v7: $i] : ? [v8: $i] : (v12_waybel_0(v3, v0) = v4 &
% 102.34/15.10 | k1_latsum_1(all_39_8, v0) = v7 & k3_xboole_0(all_121_0, v1) = v3
% 102.34/15.10 | & k1_zfmisc_1(v1) = v5 & m1_subset_1(v3, v5) = v6 &
% 102.34/15.10 | l1_orders_2(v0) = v2 & u1_orders_2(v7) = v8 & $i(v8) & $i(v7) &
% 102.34/15.10 | $i(v5) & $i(v3) & ( ~ (v2 = 0) | ! [v9: $i] : ! [v10: $i] : !
% 102.34/15.10 | [v11: $i] : ( ~ (v6 = 0) | ~ (v4 = 0) | ~ (k4_tarski(v9, v10)
% 102.34/15.10 | = v11) | ~ $i(v10) | ~ $i(v9) | ? [v12: any] : ? [v13:
% 102.34/15.10 | any] : ? [v14: any] : (r2_hidden(v11, v8) = v12 &
% 102.34/15.10 | r2_hidden(v10, all_121_0) = v13 & r2_hidden(v9, all_121_0)
% 102.34/15.10 | = v14 & ( ~ (v13 = 0) | ~ (v12 = 0) | v14 = 0))))))
% 102.34/15.10 |
% 102.34/15.10 | GROUND_INST: instantiating (147) with all_39_10, all_39_9, simplifying with
% 102.34/15.10 | (29), (35) gives:
% 102.34/15.10 | (148) ? [v0: any] : ? [v1: $i] : ? [v2: any] : ? [v3: $i] : ? [v4:
% 102.34/15.10 | any] : ? [v5: $i] : ? [v6: $i] : (v12_waybel_0(v1, all_39_10) =
% 102.34/15.10 | v2 & k1_latsum_1(all_39_8, all_39_10) = v5 & k3_xboole_0(all_121_0,
% 102.34/15.10 | all_39_9) = v1 & k1_zfmisc_1(all_39_9) = v3 & m1_subset_1(v1, v3)
% 102.34/15.10 | = v4 & l1_orders_2(all_39_10) = v0 & u1_orders_2(v5) = v6 & $i(v6)
% 102.34/15.10 | & $i(v5) & $i(v3) & $i(v1) & ( ~ (v0 = 0) | ! [v7: $i] : ! [v8:
% 102.34/15.10 | $i] : ! [v9: $i] : ( ~ (v4 = 0) | ~ (v2 = 0) | ~
% 102.34/15.10 | (k4_tarski(v7, v8) = v9) | ~ $i(v8) | ~ $i(v7) | ? [v10:
% 102.34/15.10 | any] : ? [v11: any] : ? [v12: any] : (r2_hidden(v9, v6) =
% 102.34/15.10 | v10 & r2_hidden(v8, all_121_0) = v11 & r2_hidden(v7,
% 102.34/15.10 | all_121_0) = v12 & ( ~ (v11 = 0) | ~ (v10 = 0) | v12 =
% 102.34/15.10 | 0)))))
% 102.34/15.10 |
% 102.34/15.10 | GROUND_INST: instantiating (147) with all_39_8, all_39_5, simplifying with
% 102.34/15.10 | (31), (36) gives:
% 102.34/15.10 | (149) ? [v0: any] : ? [v1: $i] : ? [v2: any] : ? [v3: $i] : ? [v4:
% 102.34/15.10 | any] : ? [v5: $i] : ? [v6: $i] : (v12_waybel_0(v1, all_39_8) = v2
% 102.34/15.10 | & k1_latsum_1(all_39_8, all_39_8) = v5 & k3_xboole_0(all_121_0,
% 102.34/15.10 | all_39_5) = v1 & k1_zfmisc_1(all_39_5) = v3 & m1_subset_1(v1, v3)
% 102.34/15.10 | = v4 & l1_orders_2(all_39_8) = v0 & u1_orders_2(v5) = v6 & $i(v6) &
% 102.34/15.10 | $i(v5) & $i(v3) & $i(v1) & ( ~ (v0 = 0) | ! [v7: $i] : ! [v8: $i]
% 102.34/15.10 | : ! [v9: $i] : ( ~ (v4 = 0) | ~ (v2 = 0) | ~ (k4_tarski(v7,
% 102.34/15.10 | v8) = v9) | ~ $i(v8) | ~ $i(v7) | ? [v10: any] : ?
% 102.34/15.10 | [v11: any] : ? [v12: any] : (r2_hidden(v9, v6) = v10 &
% 102.34/15.10 | r2_hidden(v8, all_121_0) = v11 & r2_hidden(v7, all_121_0) =
% 102.34/15.10 | v12 & ( ~ (v11 = 0) | ~ (v10 = 0) | v12 = 0)))))
% 102.34/15.10 |
% 102.34/15.10 | GROUND_INST: instantiating (147) with all_39_7, all_39_6, simplifying with
% 102.34/15.10 | (32), (37) gives:
% 102.34/15.10 | (150) ? [v0: any] : ? [v1: $i] : ? [v2: any] : ? [v3: $i] : ? [v4:
% 102.34/15.10 | any] : ? [v5: $i] : ? [v6: $i] : (v12_waybel_0(v1, all_39_7) = v2
% 102.34/15.10 | & k1_latsum_1(all_39_8, all_39_7) = v5 & k3_xboole_0(all_121_0,
% 102.34/15.10 | all_39_6) = v1 & k1_zfmisc_1(all_39_6) = v3 & m1_subset_1(v1, v3)
% 102.34/15.10 | = v4 & l1_orders_2(all_39_7) = v0 & u1_orders_2(v5) = v6 & $i(v6) &
% 102.34/15.10 | $i(v5) & $i(v3) & $i(v1) & ( ~ (v0 = 0) | ! [v7: $i] : ! [v8: $i]
% 102.34/15.10 | : ! [v9: $i] : ( ~ (v4 = 0) | ~ (v2 = 0) | ~ (k4_tarski(v7,
% 102.34/15.10 | v8) = v9) | ~ $i(v8) | ~ $i(v7) | ? [v10: any] : ?
% 102.34/15.10 | [v11: any] : ? [v12: any] : (r2_hidden(v9, v6) = v10 &
% 102.34/15.10 | r2_hidden(v8, all_121_0) = v11 & r2_hidden(v7, all_121_0) =
% 102.34/15.10 | v12 & ( ~ (v11 = 0) | ~ (v10 = 0) | v12 = 0)))))
% 102.34/15.10 |
% 102.34/15.10 | GROUND_INST: instantiating (146) with all_39_10, simplifying with (29), (38)
% 102.34/15.10 | gives:
% 102.34/15.10 | (151) ? [v0: $i] : ? [v1: $i] : ? [v2: any] : ? [v3: $i] : ? [v4: any]
% 102.34/15.10 | : ? [v5: $i] : ? [v6: $i] : (v12_waybel_0(v1, all_39_10) = v2 &
% 102.34/15.10 | k1_latsum_1(all_39_8, all_39_10) = v5 & k3_xboole_0(all_121_0, v0)
% 102.34/15.10 | = v1 & k1_zfmisc_1(v0) = v3 & m1_subset_1(v1, v3) = v4 &
% 102.34/15.10 | u1_struct_0(all_39_10) = v0 & u1_orders_2(v5) = v6 & $i(v6) &
% 102.34/15.10 | $i(v5) & $i(v3) & $i(v1) & $i(v0) & ! [v7: $i] : ! [v8: $i] : !
% 102.34/15.10 | [v9: $i] : ( ~ (v4 = 0) | ~ (v2 = 0) | ~ (k4_tarski(v7, v8) = v9)
% 102.34/15.10 | | ~ $i(v8) | ~ $i(v7) | ? [v10: any] : ? [v11: any] : ?
% 102.34/15.10 | [v12: any] : (r2_hidden(v9, v6) = v10 & r2_hidden(v8, all_121_0)
% 102.34/15.10 | = v11 & r2_hidden(v7, all_121_0) = v12 & ( ~ (v11 = 0) | ~
% 102.34/15.10 | (v10 = 0) | v12 = 0))))
% 102.34/15.10 |
% 102.34/15.10 | GROUND_INST: instantiating (146) with all_39_8, simplifying with (31), (39)
% 102.34/15.10 | gives:
% 102.34/15.10 | (152) ? [v0: $i] : ? [v1: $i] : ? [v2: any] : ? [v3: $i] : ? [v4: any]
% 102.34/15.10 | : ? [v5: $i] : ? [v6: $i] : (v12_waybel_0(v1, all_39_8) = v2 &
% 102.34/15.10 | k1_latsum_1(all_39_8, all_39_8) = v5 & k3_xboole_0(all_121_0, v0) =
% 102.34/15.10 | v1 & k1_zfmisc_1(v0) = v3 & m1_subset_1(v1, v3) = v4 &
% 102.34/15.10 | u1_struct_0(all_39_8) = v0 & u1_orders_2(v5) = v6 & $i(v6) & $i(v5)
% 102.34/15.10 | & $i(v3) & $i(v1) & $i(v0) & ! [v7: $i] : ! [v8: $i] : ! [v9:
% 102.34/15.10 | $i] : ( ~ (v4 = 0) | ~ (v2 = 0) | ~ (k4_tarski(v7, v8) = v9) |
% 102.34/15.10 | ~ $i(v8) | ~ $i(v7) | ? [v10: any] : ? [v11: any] : ? [v12:
% 102.34/15.10 | any] : (r2_hidden(v9, v6) = v10 & r2_hidden(v8, all_121_0) =
% 102.34/15.10 | v11 & r2_hidden(v7, all_121_0) = v12 & ( ~ (v11 = 0) | ~ (v10
% 102.34/15.10 | = 0) | v12 = 0))))
% 102.34/15.10 |
% 102.34/15.10 | DELTA: instantiating (75) with fresh symbol all_124_0 gives:
% 102.34/15.10 | (153) u1_struct_0(all_39_10) = all_124_0 & $i(all_124_0) & ! [v0: $i] : !
% 102.34/15.10 | [v1: $i] : ( ~ (k1_latsum_1(all_39_10, v0) = v1) | ~ $i(v0) | ?
% 102.34/15.10 | [v2: any] : ? [v3: $i] : ? [v4: $i] : ? [v5: any] : ? [v6: $i]
% 102.34/15.10 | : ? [v7: any] : ? [v8: $i] : (v12_waybel_0(v4, v0) = v5 &
% 102.34/15.10 | k3_xboole_0(all_124_0, v3) = v4 & k1_zfmisc_1(v3) = v6 &
% 102.34/15.10 | m1_subset_1(v4, v6) = v7 & l1_orders_2(v0) = v2 & u1_struct_0(v0)
% 102.34/15.10 | = v3 & u1_orders_2(v1) = v8 & $i(v8) & $i(v6) & $i(v4) & $i(v3) &
% 102.34/15.10 | ( ~ (v2 = 0) | ! [v9: $i] : ! [v10: $i] : ! [v11: $i] : ( ~
% 102.34/15.10 | (v7 = 0) | ~ (v5 = 0) | ~ (k4_tarski(v9, v10) = v11) | ~
% 102.34/15.10 | $i(v10) | ~ $i(v9) | ? [v12: any] : ? [v13: any] : ?
% 102.34/15.10 | [v14: any] : (r2_hidden(v11, v8) = v12 & r2_hidden(v10,
% 102.34/15.10 | all_124_0) = v13 & r2_hidden(v9, all_124_0) = v14 & ( ~
% 102.34/15.10 | (v13 = 0) | ~ (v12 = 0) | v14 = 0)))))) & ! [v0: $i] :
% 102.34/15.10 | ! [v1: $i] : ( ~ (u1_struct_0(v0) = v1) | ~ $i(v0) | ? [v2: any] :
% 102.34/15.10 | ? [v3: $i] : ? [v4: any] : ? [v5: $i] : ? [v6: any] : ? [v7:
% 102.34/15.10 | $i] : ? [v8: $i] : (v12_waybel_0(v3, v0) = v4 &
% 102.34/15.10 | k1_latsum_1(all_39_10, v0) = v7 & k3_xboole_0(all_124_0, v1) = v3
% 102.34/15.10 | & k1_zfmisc_1(v1) = v5 & m1_subset_1(v3, v5) = v6 &
% 102.34/15.10 | l1_orders_2(v0) = v2 & u1_orders_2(v7) = v8 & $i(v8) & $i(v7) &
% 102.34/15.10 | $i(v5) & $i(v3) & ( ~ (v2 = 0) | ! [v9: $i] : ! [v10: $i] : !
% 102.34/15.10 | [v11: $i] : ( ~ (v6 = 0) | ~ (v4 = 0) | ~ (k4_tarski(v9, v10)
% 102.34/15.10 | = v11) | ~ $i(v10) | ~ $i(v9) | ? [v12: any] : ? [v13:
% 102.34/15.10 | any] : ? [v14: any] : (r2_hidden(v11, v8) = v12 &
% 102.34/15.10 | r2_hidden(v10, all_124_0) = v13 & r2_hidden(v9, all_124_0)
% 102.34/15.10 | = v14 & ( ~ (v13 = 0) | ~ (v12 = 0) | v14 = 0)))))) & !
% 102.34/15.10 | [v0: $i] : ( ~ (l1_orders_2(v0) = 0) | ~ $i(v0) | ? [v1: $i] : ?
% 102.34/15.10 | [v2: $i] : ? [v3: any] : ? [v4: $i] : ? [v5: any] : ? [v6: $i]
% 102.34/15.10 | : ? [v7: $i] : (v12_waybel_0(v2, v0) = v3 & k1_latsum_1(all_39_10,
% 102.34/15.10 | v0) = v6 & k3_xboole_0(all_124_0, v1) = v2 & k1_zfmisc_1(v1) =
% 102.34/15.10 | v4 & m1_subset_1(v2, v4) = v5 & u1_struct_0(v0) = v1 &
% 102.34/15.10 | u1_orders_2(v6) = v7 & $i(v7) & $i(v6) & $i(v4) & $i(v2) & $i(v1)
% 102.34/15.10 | & ! [v8: $i] : ! [v9: $i] : ! [v10: $i] : ( ~ (v5 = 0) | ~
% 102.34/15.10 | (v3 = 0) | ~ (k4_tarski(v8, v9) = v10) | ~ $i(v9) | ~ $i(v8)
% 102.34/15.10 | | ? [v11: any] : ? [v12: any] : ? [v13: any] :
% 102.34/15.10 | (r2_hidden(v10, v7) = v11 & r2_hidden(v9, all_124_0) = v12 &
% 102.34/15.10 | r2_hidden(v8, all_124_0) = v13 & ( ~ (v12 = 0) | ~ (v11 = 0)
% 102.34/15.10 | | v13 = 0)))))
% 102.34/15.10 |
% 102.34/15.10 | ALPHA: (153) implies:
% 102.34/15.10 | (154) u1_struct_0(all_39_10) = all_124_0
% 102.34/15.10 | (155) ! [v0: $i] : ( ~ (l1_orders_2(v0) = 0) | ~ $i(v0) | ? [v1: $i] :
% 102.34/15.10 | ? [v2: $i] : ? [v3: any] : ? [v4: $i] : ? [v5: any] : ? [v6:
% 102.34/15.10 | $i] : ? [v7: $i] : (v12_waybel_0(v2, v0) = v3 &
% 102.34/15.10 | k1_latsum_1(all_39_10, v0) = v6 & k3_xboole_0(all_124_0, v1) = v2
% 102.34/15.10 | & k1_zfmisc_1(v1) = v4 & m1_subset_1(v2, v4) = v5 &
% 102.34/15.10 | u1_struct_0(v0) = v1 & u1_orders_2(v6) = v7 & $i(v7) & $i(v6) &
% 102.34/15.10 | $i(v4) & $i(v2) & $i(v1) & ! [v8: $i] : ! [v9: $i] : ! [v10:
% 102.34/15.10 | $i] : ( ~ (v5 = 0) | ~ (v3 = 0) | ~ (k4_tarski(v8, v9) = v10)
% 102.34/15.10 | | ~ $i(v9) | ~ $i(v8) | ? [v11: any] : ? [v12: any] : ?
% 102.34/15.10 | [v13: any] : (r2_hidden(v10, v7) = v11 & r2_hidden(v9,
% 102.34/15.10 | all_124_0) = v12 & r2_hidden(v8, all_124_0) = v13 & ( ~
% 102.34/15.10 | (v12 = 0) | ~ (v11 = 0) | v13 = 0)))))
% 102.34/15.10 | (156) ! [v0: $i] : ! [v1: $i] : ( ~ (u1_struct_0(v0) = v1) | ~ $i(v0) |
% 102.34/15.10 | ? [v2: any] : ? [v3: $i] : ? [v4: any] : ? [v5: $i] : ? [v6:
% 102.34/15.10 | any] : ? [v7: $i] : ? [v8: $i] : (v12_waybel_0(v3, v0) = v4 &
% 102.34/15.10 | k1_latsum_1(all_39_10, v0) = v7 & k3_xboole_0(all_124_0, v1) = v3
% 102.34/15.10 | & k1_zfmisc_1(v1) = v5 & m1_subset_1(v3, v5) = v6 &
% 102.34/15.10 | l1_orders_2(v0) = v2 & u1_orders_2(v7) = v8 & $i(v8) & $i(v7) &
% 102.34/15.10 | $i(v5) & $i(v3) & ( ~ (v2 = 0) | ! [v9: $i] : ! [v10: $i] : !
% 102.34/15.10 | [v11: $i] : ( ~ (v6 = 0) | ~ (v4 = 0) | ~ (k4_tarski(v9, v10)
% 102.34/15.10 | = v11) | ~ $i(v10) | ~ $i(v9) | ? [v12: any] : ? [v13:
% 102.34/15.10 | any] : ? [v14: any] : (r2_hidden(v11, v8) = v12 &
% 102.34/15.10 | r2_hidden(v10, all_124_0) = v13 & r2_hidden(v9, all_124_0)
% 102.34/15.10 | = v14 & ( ~ (v13 = 0) | ~ (v12 = 0) | v14 = 0))))))
% 102.34/15.10 | (157) ! [v0: $i] : ! [v1: $i] : ( ~ (k1_latsum_1(all_39_10, v0) = v1) |
% 102.34/15.10 | ~ $i(v0) | ? [v2: any] : ? [v3: $i] : ? [v4: $i] : ? [v5: any]
% 102.34/15.10 | : ? [v6: $i] : ? [v7: any] : ? [v8: $i] : (v12_waybel_0(v4, v0)
% 102.34/15.10 | = v5 & k3_xboole_0(all_124_0, v3) = v4 & k1_zfmisc_1(v3) = v6 &
% 102.34/15.10 | m1_subset_1(v4, v6) = v7 & l1_orders_2(v0) = v2 & u1_struct_0(v0)
% 102.34/15.10 | = v3 & u1_orders_2(v1) = v8 & $i(v8) & $i(v6) & $i(v4) & $i(v3) &
% 102.34/15.10 | ( ~ (v2 = 0) | ! [v9: $i] : ! [v10: $i] : ! [v11: $i] : ( ~
% 102.34/15.10 | (v7 = 0) | ~ (v5 = 0) | ~ (k4_tarski(v9, v10) = v11) | ~
% 102.34/15.10 | $i(v10) | ~ $i(v9) | ? [v12: any] : ? [v13: any] : ?
% 102.34/15.10 | [v14: any] : (r2_hidden(v11, v8) = v12 & r2_hidden(v10,
% 102.34/15.10 | all_124_0) = v13 & r2_hidden(v9, all_124_0) = v14 & ( ~
% 102.34/15.10 | (v13 = 0) | ~ (v12 = 0) | v14 = 0))))))
% 102.34/15.10 |
% 102.34/15.10 | GROUND_INST: instantiating (156) with all_39_10, all_39_9, simplifying with
% 102.34/15.10 | (29), (35) gives:
% 102.34/15.10 | (158) ? [v0: any] : ? [v1: $i] : ? [v2: any] : ? [v3: $i] : ? [v4:
% 102.34/15.10 | any] : ? [v5: $i] : ? [v6: $i] : (v12_waybel_0(v1, all_39_10) =
% 102.34/15.10 | v2 & k1_latsum_1(all_39_10, all_39_10) = v5 &
% 102.34/15.10 | k3_xboole_0(all_124_0, all_39_9) = v1 & k1_zfmisc_1(all_39_9) = v3
% 102.34/15.10 | & m1_subset_1(v1, v3) = v4 & l1_orders_2(all_39_10) = v0 &
% 102.34/15.10 | u1_orders_2(v5) = v6 & $i(v6) & $i(v5) & $i(v3) & $i(v1) & ( ~ (v0
% 102.34/15.10 | = 0) | ! [v7: $i] : ! [v8: $i] : ! [v9: $i] : ( ~ (v4 = 0) |
% 102.34/15.10 | ~ (v2 = 0) | ~ (k4_tarski(v7, v8) = v9) | ~ $i(v8) | ~
% 102.34/15.10 | $i(v7) | ? [v10: any] : ? [v11: any] : ? [v12: any] :
% 102.34/15.10 | (r2_hidden(v9, v6) = v10 & r2_hidden(v8, all_124_0) = v11 &
% 102.34/15.10 | r2_hidden(v7, all_124_0) = v12 & ( ~ (v11 = 0) | ~ (v10 = 0)
% 102.34/15.10 | | v12 = 0)))))
% 102.34/15.10 |
% 102.34/15.10 | GROUND_INST: instantiating (156) with all_39_8, all_39_5, simplifying with
% 102.34/15.10 | (31), (36) gives:
% 102.34/15.11 | (159) ? [v0: any] : ? [v1: $i] : ? [v2: any] : ? [v3: $i] : ? [v4:
% 102.34/15.11 | any] : ? [v5: $i] : ? [v6: $i] : (v12_waybel_0(v1, all_39_8) = v2
% 102.34/15.11 | & k1_latsum_1(all_39_10, all_39_8) = v5 & k3_xboole_0(all_124_0,
% 102.34/15.11 | all_39_5) = v1 & k1_zfmisc_1(all_39_5) = v3 & m1_subset_1(v1, v3)
% 102.34/15.11 | = v4 & l1_orders_2(all_39_8) = v0 & u1_orders_2(v5) = v6 & $i(v6) &
% 102.34/15.11 | $i(v5) & $i(v3) & $i(v1) & ( ~ (v0 = 0) | ! [v7: $i] : ! [v8: $i]
% 102.34/15.11 | : ! [v9: $i] : ( ~ (v4 = 0) | ~ (v2 = 0) | ~ (k4_tarski(v7,
% 102.34/15.11 | v8) = v9) | ~ $i(v8) | ~ $i(v7) | ? [v10: any] : ?
% 102.34/15.11 | [v11: any] : ? [v12: any] : (r2_hidden(v9, v6) = v10 &
% 102.34/15.11 | r2_hidden(v8, all_124_0) = v11 & r2_hidden(v7, all_124_0) =
% 102.34/15.11 | v12 & ( ~ (v11 = 0) | ~ (v10 = 0) | v12 = 0)))))
% 102.34/15.11 |
% 102.34/15.11 | GROUND_INST: instantiating (156) with all_39_7, all_39_6, simplifying with
% 102.34/15.11 | (32), (37) gives:
% 102.34/15.11 | (160) ? [v0: any] : ? [v1: $i] : ? [v2: any] : ? [v3: $i] : ? [v4:
% 102.34/15.11 | any] : ? [v5: $i] : ? [v6: $i] : (v12_waybel_0(v1, all_39_7) = v2
% 102.34/15.11 | & k1_latsum_1(all_39_10, all_39_7) = v5 & k3_xboole_0(all_124_0,
% 102.34/15.11 | all_39_6) = v1 & k1_zfmisc_1(all_39_6) = v3 & m1_subset_1(v1, v3)
% 102.34/15.11 | = v4 & l1_orders_2(all_39_7) = v0 & u1_orders_2(v5) = v6 & $i(v6) &
% 102.34/15.11 | $i(v5) & $i(v3) & $i(v1) & ( ~ (v0 = 0) | ! [v7: $i] : ! [v8: $i]
% 102.34/15.11 | : ! [v9: $i] : ( ~ (v4 = 0) | ~ (v2 = 0) | ~ (k4_tarski(v7,
% 102.34/15.11 | v8) = v9) | ~ $i(v8) | ~ $i(v7) | ? [v10: any] : ?
% 102.34/15.11 | [v11: any] : ? [v12: any] : (r2_hidden(v9, v6) = v10 &
% 102.34/15.11 | r2_hidden(v8, all_124_0) = v11 & r2_hidden(v7, all_124_0) =
% 102.34/15.11 | v12 & ( ~ (v11 = 0) | ~ (v10 = 0) | v12 = 0)))))
% 102.34/15.11 |
% 102.34/15.11 | GROUND_INST: instantiating (155) with all_39_10, simplifying with (29), (38)
% 102.34/15.11 | gives:
% 102.34/15.11 | (161) ? [v0: $i] : ? [v1: $i] : ? [v2: any] : ? [v3: $i] : ? [v4: any]
% 102.34/15.11 | : ? [v5: $i] : ? [v6: $i] : (v12_waybel_0(v1, all_39_10) = v2 &
% 102.34/15.11 | k1_latsum_1(all_39_10, all_39_10) = v5 & k3_xboole_0(all_124_0, v0)
% 102.34/15.11 | = v1 & k1_zfmisc_1(v0) = v3 & m1_subset_1(v1, v3) = v4 &
% 102.34/15.11 | u1_struct_0(all_39_10) = v0 & u1_orders_2(v5) = v6 & $i(v6) &
% 102.34/15.11 | $i(v5) & $i(v3) & $i(v1) & $i(v0) & ! [v7: $i] : ! [v8: $i] : !
% 102.34/15.11 | [v9: $i] : ( ~ (v4 = 0) | ~ (v2 = 0) | ~ (k4_tarski(v7, v8) = v9)
% 102.34/15.11 | | ~ $i(v8) | ~ $i(v7) | ? [v10: any] : ? [v11: any] : ?
% 102.34/15.11 | [v12: any] : (r2_hidden(v9, v6) = v10 & r2_hidden(v8, all_124_0)
% 102.34/15.11 | = v11 & r2_hidden(v7, all_124_0) = v12 & ( ~ (v11 = 0) | ~
% 102.34/15.11 | (v10 = 0) | v12 = 0))))
% 102.34/15.11 |
% 102.34/15.11 | GROUND_INST: instantiating (155) with all_39_8, simplifying with (31), (39)
% 102.34/15.11 | gives:
% 102.34/15.11 | (162) ? [v0: $i] : ? [v1: $i] : ? [v2: any] : ? [v3: $i] : ? [v4: any]
% 102.34/15.11 | : ? [v5: $i] : ? [v6: $i] : (v12_waybel_0(v1, all_39_8) = v2 &
% 102.34/15.11 | k1_latsum_1(all_39_10, all_39_8) = v5 & k3_xboole_0(all_124_0, v0)
% 102.34/15.11 | = v1 & k1_zfmisc_1(v0) = v3 & m1_subset_1(v1, v3) = v4 &
% 102.34/15.11 | u1_struct_0(all_39_8) = v0 & u1_orders_2(v5) = v6 & $i(v6) & $i(v5)
% 102.34/15.11 | & $i(v3) & $i(v1) & $i(v0) & ! [v7: $i] : ! [v8: $i] : ! [v9:
% 102.34/15.11 | $i] : ( ~ (v4 = 0) | ~ (v2 = 0) | ~ (k4_tarski(v7, v8) = v9) |
% 102.34/15.11 | ~ $i(v8) | ~ $i(v7) | ? [v10: any] : ? [v11: any] : ? [v12:
% 102.34/15.11 | any] : (r2_hidden(v9, v6) = v10 & r2_hidden(v8, all_124_0) =
% 102.34/15.11 | v11 & r2_hidden(v7, all_124_0) = v12 & ( ~ (v11 = 0) | ~ (v10
% 102.34/15.11 | = 0) | v12 = 0))))
% 102.34/15.11 |
% 102.34/15.11 | GROUND_INST: instantiating (157) with all_39_8, all_39_7, simplifying with
% 102.34/15.11 | (31), (48) gives:
% 102.34/15.11 | (163) ? [v0: any] : ? [v1: $i] : ? [v2: $i] : ? [v3: any] : ? [v4: $i]
% 102.34/15.11 | : ? [v5: any] : ? [v6: $i] : (v12_waybel_0(v2, all_39_8) = v3 &
% 102.34/15.11 | k3_xboole_0(all_124_0, v1) = v2 & k1_zfmisc_1(v1) = v4 &
% 102.34/15.11 | m1_subset_1(v2, v4) = v5 & l1_orders_2(all_39_8) = v0 &
% 102.34/15.11 | u1_struct_0(all_39_8) = v1 & u1_orders_2(all_39_7) = v6 & $i(v6) &
% 102.34/15.11 | $i(v4) & $i(v2) & $i(v1) & ( ~ (v0 = 0) | ! [v7: $i] : ! [v8: $i]
% 102.34/15.11 | : ! [v9: $i] : ( ~ (v5 = 0) | ~ (v3 = 0) | ~ (k4_tarski(v7,
% 102.34/15.11 | v8) = v9) | ~ $i(v8) | ~ $i(v7) | ? [v10: any] : ?
% 102.34/15.11 | [v11: any] : ? [v12: any] : (r2_hidden(v9, v6) = v10 &
% 102.34/15.11 | r2_hidden(v8, all_124_0) = v11 & r2_hidden(v7, all_124_0) =
% 102.34/15.11 | v12 & ( ~ (v11 = 0) | ~ (v10 = 0) | v12 = 0)))))
% 102.34/15.11 |
% 102.34/15.11 | DELTA: instantiating (68) with fresh symbol all_127_0 gives:
% 102.34/15.11 | (164) u1_struct_0(all_30_0) = all_127_0 & $i(all_127_0) & ! [v0: $i] : !
% 102.34/15.11 | [v1: $i] : ( ~ (k1_latsum_1(all_30_0, v0) = v1) | ~ $i(v0) | ? [v2:
% 102.34/15.11 | any] : ? [v3: $i] : ? [v4: $i] : ? [v5: any] : ? [v6: $i] :
% 102.34/15.11 | ? [v7: any] : ? [v8: $i] : (v12_waybel_0(v4, v0) = v5 &
% 102.34/15.11 | k3_xboole_0(all_127_0, v3) = v4 & k1_zfmisc_1(v3) = v6 &
% 102.34/15.11 | m1_subset_1(v4, v6) = v7 & l1_orders_2(v0) = v2 & u1_struct_0(v0)
% 102.34/15.11 | = v3 & u1_orders_2(v1) = v8 & $i(v8) & $i(v6) & $i(v4) & $i(v3) &
% 102.34/15.11 | ( ~ (v2 = 0) | ! [v9: $i] : ! [v10: $i] : ! [v11: $i] : ( ~
% 102.34/15.11 | (v7 = 0) | ~ (v5 = 0) | ~ (k4_tarski(v9, v10) = v11) | ~
% 102.34/15.11 | $i(v10) | ~ $i(v9) | ? [v12: any] : ? [v13: any] : ?
% 102.34/15.11 | [v14: any] : (r2_hidden(v11, v8) = v12 & r2_hidden(v10,
% 102.34/15.11 | all_127_0) = v13 & r2_hidden(v9, all_127_0) = v14 & ( ~
% 102.34/15.11 | (v13 = 0) | ~ (v12 = 0) | v14 = 0)))))) & ! [v0: $i] :
% 102.34/15.11 | ! [v1: $i] : ( ~ (u1_struct_0(v0) = v1) | ~ $i(v0) | ? [v2: any] :
% 102.34/15.11 | ? [v3: $i] : ? [v4: any] : ? [v5: $i] : ? [v6: any] : ? [v7:
% 102.34/15.11 | $i] : ? [v8: $i] : (v12_waybel_0(v3, v0) = v4 &
% 102.34/15.11 | k1_latsum_1(all_30_0, v0) = v7 & k3_xboole_0(all_127_0, v1) = v3
% 102.34/15.11 | & k1_zfmisc_1(v1) = v5 & m1_subset_1(v3, v5) = v6 &
% 102.34/15.11 | l1_orders_2(v0) = v2 & u1_orders_2(v7) = v8 & $i(v8) & $i(v7) &
% 102.34/15.11 | $i(v5) & $i(v3) & ( ~ (v2 = 0) | ! [v9: $i] : ! [v10: $i] : !
% 102.34/15.11 | [v11: $i] : ( ~ (v6 = 0) | ~ (v4 = 0) | ~ (k4_tarski(v9, v10)
% 102.34/15.11 | = v11) | ~ $i(v10) | ~ $i(v9) | ? [v12: any] : ? [v13:
% 102.34/15.11 | any] : ? [v14: any] : (r2_hidden(v11, v8) = v12 &
% 102.34/15.11 | r2_hidden(v10, all_127_0) = v13 & r2_hidden(v9, all_127_0)
% 102.34/15.11 | = v14 & ( ~ (v13 = 0) | ~ (v12 = 0) | v14 = 0)))))) & !
% 102.34/15.11 | [v0: $i] : ( ~ (l1_orders_2(v0) = 0) | ~ $i(v0) | ? [v1: $i] : ?
% 102.34/15.11 | [v2: $i] : ? [v3: any] : ? [v4: $i] : ? [v5: any] : ? [v6: $i]
% 102.34/15.11 | : ? [v7: $i] : (v12_waybel_0(v2, v0) = v3 & k1_latsum_1(all_30_0,
% 102.34/15.11 | v0) = v6 & k3_xboole_0(all_127_0, v1) = v2 & k1_zfmisc_1(v1) =
% 102.34/15.11 | v4 & m1_subset_1(v2, v4) = v5 & u1_struct_0(v0) = v1 &
% 102.34/15.11 | u1_orders_2(v6) = v7 & $i(v7) & $i(v6) & $i(v4) & $i(v2) & $i(v1)
% 102.34/15.11 | & ! [v8: $i] : ! [v9: $i] : ! [v10: $i] : ( ~ (v5 = 0) | ~
% 102.34/15.11 | (v3 = 0) | ~ (k4_tarski(v8, v9) = v10) | ~ $i(v9) | ~ $i(v8)
% 102.34/15.11 | | ? [v11: any] : ? [v12: any] : ? [v13: any] :
% 102.34/15.11 | (r2_hidden(v10, v7) = v11 & r2_hidden(v9, all_127_0) = v12 &
% 102.34/15.11 | r2_hidden(v8, all_127_0) = v13 & ( ~ (v12 = 0) | ~ (v11 = 0)
% 102.34/15.11 | | v13 = 0)))))
% 102.34/15.11 |
% 102.34/15.11 | ALPHA: (164) implies:
% 102.34/15.11 | (165) ! [v0: $i] : ( ~ (l1_orders_2(v0) = 0) | ~ $i(v0) | ? [v1: $i] :
% 102.34/15.11 | ? [v2: $i] : ? [v3: any] : ? [v4: $i] : ? [v5: any] : ? [v6:
% 102.34/15.11 | $i] : ? [v7: $i] : (v12_waybel_0(v2, v0) = v3 &
% 102.34/15.11 | k1_latsum_1(all_30_0, v0) = v6 & k3_xboole_0(all_127_0, v1) = v2
% 102.34/15.11 | & k1_zfmisc_1(v1) = v4 & m1_subset_1(v2, v4) = v5 &
% 102.34/15.11 | u1_struct_0(v0) = v1 & u1_orders_2(v6) = v7 & $i(v7) & $i(v6) &
% 102.34/15.11 | $i(v4) & $i(v2) & $i(v1) & ! [v8: $i] : ! [v9: $i] : ! [v10:
% 102.34/15.11 | $i] : ( ~ (v5 = 0) | ~ (v3 = 0) | ~ (k4_tarski(v8, v9) = v10)
% 102.34/15.11 | | ~ $i(v9) | ~ $i(v8) | ? [v11: any] : ? [v12: any] : ?
% 102.34/15.11 | [v13: any] : (r2_hidden(v10, v7) = v11 & r2_hidden(v9,
% 102.34/15.11 | all_127_0) = v12 & r2_hidden(v8, all_127_0) = v13 & ( ~
% 102.34/15.11 | (v12 = 0) | ~ (v11 = 0) | v13 = 0)))))
% 102.34/15.11 | (166) ! [v0: $i] : ! [v1: $i] : ( ~ (u1_struct_0(v0) = v1) | ~ $i(v0) |
% 102.34/15.11 | ? [v2: any] : ? [v3: $i] : ? [v4: any] : ? [v5: $i] : ? [v6:
% 102.34/15.11 | any] : ? [v7: $i] : ? [v8: $i] : (v12_waybel_0(v3, v0) = v4 &
% 102.34/15.11 | k1_latsum_1(all_30_0, v0) = v7 & k3_xboole_0(all_127_0, v1) = v3
% 102.34/15.11 | & k1_zfmisc_1(v1) = v5 & m1_subset_1(v3, v5) = v6 &
% 102.34/15.11 | l1_orders_2(v0) = v2 & u1_orders_2(v7) = v8 & $i(v8) & $i(v7) &
% 102.34/15.11 | $i(v5) & $i(v3) & ( ~ (v2 = 0) | ! [v9: $i] : ! [v10: $i] : !
% 102.34/15.11 | [v11: $i] : ( ~ (v6 = 0) | ~ (v4 = 0) | ~ (k4_tarski(v9, v10)
% 102.34/15.11 | = v11) | ~ $i(v10) | ~ $i(v9) | ? [v12: any] : ? [v13:
% 102.34/15.11 | any] : ? [v14: any] : (r2_hidden(v11, v8) = v12 &
% 102.34/15.11 | r2_hidden(v10, all_127_0) = v13 & r2_hidden(v9, all_127_0)
% 102.34/15.11 | = v14 & ( ~ (v13 = 0) | ~ (v12 = 0) | v14 = 0))))))
% 102.34/15.11 |
% 102.34/15.11 | GROUND_INST: instantiating (166) with all_39_10, all_39_9, simplifying with
% 102.34/15.11 | (29), (35) gives:
% 102.34/15.11 | (167) ? [v0: any] : ? [v1: $i] : ? [v2: any] : ? [v3: $i] : ? [v4:
% 102.34/15.11 | any] : ? [v5: $i] : ? [v6: $i] : (v12_waybel_0(v1, all_39_10) =
% 102.34/15.11 | v2 & k1_latsum_1(all_30_0, all_39_10) = v5 & k3_xboole_0(all_127_0,
% 102.34/15.11 | all_39_9) = v1 & k1_zfmisc_1(all_39_9) = v3 & m1_subset_1(v1, v3)
% 102.34/15.11 | = v4 & l1_orders_2(all_39_10) = v0 & u1_orders_2(v5) = v6 & $i(v6)
% 102.34/15.11 | & $i(v5) & $i(v3) & $i(v1) & ( ~ (v0 = 0) | ! [v7: $i] : ! [v8:
% 102.34/15.11 | $i] : ! [v9: $i] : ( ~ (v4 = 0) | ~ (v2 = 0) | ~
% 102.34/15.11 | (k4_tarski(v7, v8) = v9) | ~ $i(v8) | ~ $i(v7) | ? [v10:
% 102.34/15.11 | any] : ? [v11: any] : ? [v12: any] : (r2_hidden(v9, v6) =
% 102.34/15.11 | v10 & r2_hidden(v8, all_127_0) = v11 & r2_hidden(v7,
% 102.34/15.11 | all_127_0) = v12 & ( ~ (v11 = 0) | ~ (v10 = 0) | v12 =
% 102.34/15.11 | 0)))))
% 102.34/15.11 |
% 102.34/15.11 | GROUND_INST: instantiating (166) with all_39_8, all_39_5, simplifying with
% 102.34/15.11 | (31), (36) gives:
% 102.34/15.11 | (168) ? [v0: any] : ? [v1: $i] : ? [v2: any] : ? [v3: $i] : ? [v4:
% 102.34/15.11 | any] : ? [v5: $i] : ? [v6: $i] : (v12_waybel_0(v1, all_39_8) = v2
% 102.34/15.11 | & k1_latsum_1(all_30_0, all_39_8) = v5 & k3_xboole_0(all_127_0,
% 102.34/15.11 | all_39_5) = v1 & k1_zfmisc_1(all_39_5) = v3 & m1_subset_1(v1, v3)
% 102.34/15.11 | = v4 & l1_orders_2(all_39_8) = v0 & u1_orders_2(v5) = v6 & $i(v6) &
% 102.34/15.11 | $i(v5) & $i(v3) & $i(v1) & ( ~ (v0 = 0) | ! [v7: $i] : ! [v8: $i]
% 102.34/15.11 | : ! [v9: $i] : ( ~ (v4 = 0) | ~ (v2 = 0) | ~ (k4_tarski(v7,
% 102.34/15.11 | v8) = v9) | ~ $i(v8) | ~ $i(v7) | ? [v10: any] : ?
% 102.34/15.11 | [v11: any] : ? [v12: any] : (r2_hidden(v9, v6) = v10 &
% 102.34/15.11 | r2_hidden(v8, all_127_0) = v11 & r2_hidden(v7, all_127_0) =
% 102.34/15.11 | v12 & ( ~ (v11 = 0) | ~ (v10 = 0) | v12 = 0)))))
% 102.34/15.11 |
% 102.34/15.11 | GROUND_INST: instantiating (166) with all_39_7, all_39_6, simplifying with
% 102.34/15.11 | (32), (37) gives:
% 102.34/15.11 | (169) ? [v0: any] : ? [v1: $i] : ? [v2: any] : ? [v3: $i] : ? [v4:
% 102.34/15.11 | any] : ? [v5: $i] : ? [v6: $i] : (v12_waybel_0(v1, all_39_7) = v2
% 102.34/15.11 | & k1_latsum_1(all_30_0, all_39_7) = v5 & k3_xboole_0(all_127_0,
% 102.34/15.11 | all_39_6) = v1 & k1_zfmisc_1(all_39_6) = v3 & m1_subset_1(v1, v3)
% 102.34/15.11 | = v4 & l1_orders_2(all_39_7) = v0 & u1_orders_2(v5) = v6 & $i(v6) &
% 102.34/15.11 | $i(v5) & $i(v3) & $i(v1) & ( ~ (v0 = 0) | ! [v7: $i] : ! [v8: $i]
% 102.34/15.11 | : ! [v9: $i] : ( ~ (v4 = 0) | ~ (v2 = 0) | ~ (k4_tarski(v7,
% 102.34/15.11 | v8) = v9) | ~ $i(v8) | ~ $i(v7) | ? [v10: any] : ?
% 102.34/15.11 | [v11: any] : ? [v12: any] : (r2_hidden(v9, v6) = v10 &
% 102.34/15.11 | r2_hidden(v8, all_127_0) = v11 & r2_hidden(v7, all_127_0) =
% 102.34/15.11 | v12 & ( ~ (v11 = 0) | ~ (v10 = 0) | v12 = 0)))))
% 102.34/15.11 |
% 102.34/15.11 | GROUND_INST: instantiating (165) with all_39_10, simplifying with (29), (38)
% 102.34/15.11 | gives:
% 102.34/15.11 | (170) ? [v0: $i] : ? [v1: $i] : ? [v2: any] : ? [v3: $i] : ? [v4: any]
% 102.34/15.11 | : ? [v5: $i] : ? [v6: $i] : (v12_waybel_0(v1, all_39_10) = v2 &
% 102.34/15.11 | k1_latsum_1(all_30_0, all_39_10) = v5 & k3_xboole_0(all_127_0, v0)
% 102.34/15.11 | = v1 & k1_zfmisc_1(v0) = v3 & m1_subset_1(v1, v3) = v4 &
% 102.34/15.11 | u1_struct_0(all_39_10) = v0 & u1_orders_2(v5) = v6 & $i(v6) &
% 102.34/15.11 | $i(v5) & $i(v3) & $i(v1) & $i(v0) & ! [v7: $i] : ! [v8: $i] : !
% 102.34/15.11 | [v9: $i] : ( ~ (v4 = 0) | ~ (v2 = 0) | ~ (k4_tarski(v7, v8) = v9)
% 102.34/15.11 | | ~ $i(v8) | ~ $i(v7) | ? [v10: any] : ? [v11: any] : ?
% 102.34/15.11 | [v12: any] : (r2_hidden(v9, v6) = v10 & r2_hidden(v8, all_127_0)
% 102.34/15.11 | = v11 & r2_hidden(v7, all_127_0) = v12 & ( ~ (v11 = 0) | ~
% 102.34/15.11 | (v10 = 0) | v12 = 0))))
% 102.34/15.11 |
% 102.34/15.11 | GROUND_INST: instantiating (165) with all_39_8, simplifying with (31), (39)
% 102.34/15.11 | gives:
% 102.34/15.11 | (171) ? [v0: $i] : ? [v1: $i] : ? [v2: any] : ? [v3: $i] : ? [v4: any]
% 102.34/15.11 | : ? [v5: $i] : ? [v6: $i] : (v12_waybel_0(v1, all_39_8) = v2 &
% 102.34/15.11 | k1_latsum_1(all_30_0, all_39_8) = v5 & k3_xboole_0(all_127_0, v0) =
% 102.34/15.11 | v1 & k1_zfmisc_1(v0) = v3 & m1_subset_1(v1, v3) = v4 &
% 102.34/15.11 | u1_struct_0(all_39_8) = v0 & u1_orders_2(v5) = v6 & $i(v6) & $i(v5)
% 102.34/15.11 | & $i(v3) & $i(v1) & $i(v0) & ! [v7: $i] : ! [v8: $i] : ! [v9:
% 102.34/15.11 | $i] : ( ~ (v4 = 0) | ~ (v2 = 0) | ~ (k4_tarski(v7, v8) = v9) |
% 102.34/15.11 | ~ $i(v8) | ~ $i(v7) | ? [v10: any] : ? [v11: any] : ? [v12:
% 102.34/15.11 | any] : (r2_hidden(v9, v6) = v10 & r2_hidden(v8, all_127_0) =
% 102.34/15.11 | v11 & r2_hidden(v7, all_127_0) = v12 & ( ~ (v11 = 0) | ~ (v10
% 102.34/15.11 | = 0) | v12 = 0))))
% 102.34/15.11 |
% 102.34/15.11 | DELTA: instantiating (152) with fresh symbols all_130_0, all_130_1, all_130_2,
% 102.34/15.11 | all_130_3, all_130_4, all_130_5, all_130_6 gives:
% 102.34/15.12 | (172) v12_waybel_0(all_130_5, all_39_8) = all_130_4 & k1_latsum_1(all_39_8,
% 102.34/15.12 | all_39_8) = all_130_1 & k3_xboole_0(all_121_0, all_130_6) =
% 102.34/15.12 | all_130_5 & k1_zfmisc_1(all_130_6) = all_130_3 &
% 102.34/15.12 | m1_subset_1(all_130_5, all_130_3) = all_130_2 & u1_struct_0(all_39_8)
% 102.34/15.12 | = all_130_6 & u1_orders_2(all_130_1) = all_130_0 & $i(all_130_0) &
% 102.34/15.12 | $i(all_130_1) & $i(all_130_3) & $i(all_130_5) & $i(all_130_6) & !
% 102.34/15.12 | [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ (all_130_2 = 0) | ~
% 102.34/15.12 | (all_130_4 = 0) | ~ (k4_tarski(v0, v1) = v2) | ~ $i(v1) | ~
% 102.34/15.12 | $i(v0) | ? [v3: any] : ? [v4: any] : ? [v5: any] :
% 102.34/15.12 | (r2_hidden(v2, all_130_0) = v3 & r2_hidden(v1, all_121_0) = v4 &
% 102.34/15.12 | r2_hidden(v0, all_121_0) = v5 & ( ~ (v4 = 0) | ~ (v3 = 0) | v5 =
% 102.34/15.12 | 0)))
% 102.34/15.12 |
% 102.34/15.12 | ALPHA: (172) implies:
% 102.34/15.12 | (173) u1_struct_0(all_39_8) = all_130_6
% 102.34/15.12 | (174) k1_zfmisc_1(all_130_6) = all_130_3
% 102.34/15.12 |
% 102.34/15.12 | DELTA: instantiating (151) with fresh symbols all_133_0, all_133_1, all_133_2,
% 102.34/15.12 | all_133_3, all_133_4, all_133_5, all_133_6 gives:
% 102.34/15.12 | (175) v12_waybel_0(all_133_5, all_39_10) = all_133_4 &
% 102.34/15.12 | k1_latsum_1(all_39_8, all_39_10) = all_133_1 & k3_xboole_0(all_121_0,
% 102.34/15.12 | all_133_6) = all_133_5 & k1_zfmisc_1(all_133_6) = all_133_3 &
% 102.34/15.12 | m1_subset_1(all_133_5, all_133_3) = all_133_2 &
% 102.34/15.12 | u1_struct_0(all_39_10) = all_133_6 & u1_orders_2(all_133_1) =
% 102.34/15.12 | all_133_0 & $i(all_133_0) & $i(all_133_1) & $i(all_133_3) &
% 102.34/15.12 | $i(all_133_5) & $i(all_133_6) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 102.34/15.12 | $i] : ( ~ (all_133_2 = 0) | ~ (all_133_4 = 0) | ~ (k4_tarski(v0,
% 102.34/15.12 | v1) = v2) | ~ $i(v1) | ~ $i(v0) | ? [v3: any] : ? [v4: any]
% 102.34/15.12 | : ? [v5: any] : (r2_hidden(v2, all_133_0) = v3 & r2_hidden(v1,
% 102.34/15.12 | all_121_0) = v4 & r2_hidden(v0, all_121_0) = v5 & ( ~ (v4 = 0)
% 102.34/15.12 | | ~ (v3 = 0) | v5 = 0)))
% 102.34/15.12 |
% 102.34/15.12 | ALPHA: (175) implies:
% 102.34/15.12 | (176) u1_struct_0(all_39_10) = all_133_6
% 102.34/15.12 |
% 102.34/15.12 | DELTA: instantiating (150) with fresh symbols all_139_0, all_139_1, all_139_2,
% 102.34/15.12 | all_139_3, all_139_4, all_139_5, all_139_6 gives:
% 102.34/15.12 | (177) v12_waybel_0(all_139_5, all_39_7) = all_139_4 & k1_latsum_1(all_39_8,
% 102.34/15.12 | all_39_7) = all_139_1 & k3_xboole_0(all_121_0, all_39_6) =
% 102.34/15.12 | all_139_5 & k1_zfmisc_1(all_39_6) = all_139_3 &
% 102.34/15.12 | m1_subset_1(all_139_5, all_139_3) = all_139_2 & l1_orders_2(all_39_7)
% 102.34/15.12 | = all_139_6 & u1_orders_2(all_139_1) = all_139_0 & $i(all_139_0) &
% 102.34/15.12 | $i(all_139_1) & $i(all_139_3) & $i(all_139_5) & ( ~ (all_139_6 = 0) |
% 102.34/15.12 | ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ (all_139_2 = 0) | ~
% 102.34/15.12 | (all_139_4 = 0) | ~ (k4_tarski(v0, v1) = v2) | ~ $i(v1) | ~
% 102.34/15.12 | $i(v0) | ? [v3: any] : ? [v4: any] : ? [v5: any] :
% 102.34/15.12 | (r2_hidden(v2, all_139_0) = v3 & r2_hidden(v1, all_121_0) = v4 &
% 102.34/15.12 | r2_hidden(v0, all_121_0) = v5 & ( ~ (v4 = 0) | ~ (v3 = 0) | v5
% 102.34/15.12 | = 0))))
% 102.34/15.12 |
% 102.34/15.12 | ALPHA: (177) implies:
% 102.34/15.12 | (178) l1_orders_2(all_39_7) = all_139_6
% 102.34/15.12 |
% 102.34/15.12 | DELTA: instantiating (149) with fresh symbols all_141_0, all_141_1, all_141_2,
% 102.34/15.12 | all_141_3, all_141_4, all_141_5, all_141_6 gives:
% 102.34/15.12 | (179) v12_waybel_0(all_141_5, all_39_8) = all_141_4 & k1_latsum_1(all_39_8,
% 102.34/15.12 | all_39_8) = all_141_1 & k3_xboole_0(all_121_0, all_39_5) =
% 102.34/15.12 | all_141_5 & k1_zfmisc_1(all_39_5) = all_141_3 &
% 102.34/15.12 | m1_subset_1(all_141_5, all_141_3) = all_141_2 & l1_orders_2(all_39_8)
% 102.34/15.12 | = all_141_6 & u1_orders_2(all_141_1) = all_141_0 & $i(all_141_0) &
% 102.34/15.12 | $i(all_141_1) & $i(all_141_3) & $i(all_141_5) & ( ~ (all_141_6 = 0) |
% 102.34/15.12 | ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ (all_141_2 = 0) | ~
% 102.34/15.12 | (all_141_4 = 0) | ~ (k4_tarski(v0, v1) = v2) | ~ $i(v1) | ~
% 102.34/15.12 | $i(v0) | ? [v3: any] : ? [v4: any] : ? [v5: any] :
% 102.34/15.12 | (r2_hidden(v2, all_141_0) = v3 & r2_hidden(v1, all_121_0) = v4 &
% 102.34/15.12 | r2_hidden(v0, all_121_0) = v5 & ( ~ (v4 = 0) | ~ (v3 = 0) | v5
% 102.34/15.12 | = 0))))
% 102.34/15.12 |
% 102.34/15.12 | ALPHA: (179) implies:
% 102.34/15.12 | (180) l1_orders_2(all_39_8) = all_141_6
% 102.34/15.12 | (181) k1_zfmisc_1(all_39_5) = all_141_3
% 102.34/15.12 |
% 102.34/15.12 | DELTA: instantiating (148) with fresh symbols all_143_0, all_143_1, all_143_2,
% 102.34/15.12 | all_143_3, all_143_4, all_143_5, all_143_6 gives:
% 102.34/15.12 | (182) v12_waybel_0(all_143_5, all_39_10) = all_143_4 &
% 102.34/15.12 | k1_latsum_1(all_39_8, all_39_10) = all_143_1 & k3_xboole_0(all_121_0,
% 102.34/15.12 | all_39_9) = all_143_5 & k1_zfmisc_1(all_39_9) = all_143_3 &
% 102.34/15.12 | m1_subset_1(all_143_5, all_143_3) = all_143_2 &
% 102.34/15.12 | l1_orders_2(all_39_10) = all_143_6 & u1_orders_2(all_143_1) =
% 102.34/15.12 | all_143_0 & $i(all_143_0) & $i(all_143_1) & $i(all_143_3) &
% 102.34/15.12 | $i(all_143_5) & ( ~ (all_143_6 = 0) | ! [v0: $i] : ! [v1: $i] : !
% 102.34/15.12 | [v2: $i] : ( ~ (all_143_2 = 0) | ~ (all_143_4 = 0) | ~
% 102.34/15.12 | (k4_tarski(v0, v1) = v2) | ~ $i(v1) | ~ $i(v0) | ? [v3: any] :
% 102.34/15.12 | ? [v4: any] : ? [v5: any] : (r2_hidden(v2, all_143_0) = v3 &
% 102.34/15.12 | r2_hidden(v1, all_121_0) = v4 & r2_hidden(v0, all_121_0) = v5 &
% 102.34/15.12 | ( ~ (v4 = 0) | ~ (v3 = 0) | v5 = 0))))
% 102.34/15.12 |
% 102.34/15.12 | ALPHA: (182) implies:
% 102.34/15.12 | (183) l1_orders_2(all_39_10) = all_143_6
% 103.17/15.12 |
% 103.17/15.12 | DELTA: instantiating (163) with fresh symbols all_145_0, all_145_1, all_145_2,
% 103.17/15.12 | all_145_3, all_145_4, all_145_5, all_145_6 gives:
% 103.17/15.12 | (184) v12_waybel_0(all_145_4, all_39_8) = all_145_3 &
% 103.17/15.12 | k3_xboole_0(all_124_0, all_145_5) = all_145_4 &
% 103.17/15.12 | k1_zfmisc_1(all_145_5) = all_145_2 & m1_subset_1(all_145_4,
% 103.17/15.12 | all_145_2) = all_145_1 & l1_orders_2(all_39_8) = all_145_6 &
% 103.17/15.12 | u1_struct_0(all_39_8) = all_145_5 & u1_orders_2(all_39_7) = all_145_0
% 103.17/15.12 | & $i(all_145_0) & $i(all_145_2) & $i(all_145_4) & $i(all_145_5) & ( ~
% 103.17/15.12 | (all_145_6 = 0) | ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~
% 103.17/15.12 | (all_145_1 = 0) | ~ (all_145_3 = 0) | ~ (k4_tarski(v0, v1) =
% 103.17/15.12 | v2) | ~ $i(v1) | ~ $i(v0) | ? [v3: any] : ? [v4: any] : ?
% 103.17/15.12 | [v5: any] : (r2_hidden(v2, all_145_0) = v3 & r2_hidden(v1,
% 103.17/15.12 | all_124_0) = v4 & r2_hidden(v0, all_124_0) = v5 & ( ~ (v4 =
% 103.17/15.12 | 0) | ~ (v3 = 0) | v5 = 0))))
% 103.17/15.12 |
% 103.17/15.12 | ALPHA: (184) implies:
% 103.17/15.12 | (185) u1_orders_2(all_39_7) = all_145_0
% 103.17/15.12 | (186) u1_struct_0(all_39_8) = all_145_5
% 103.17/15.12 | (187) l1_orders_2(all_39_8) = all_145_6
% 103.17/15.12 | (188) m1_subset_1(all_145_4, all_145_2) = all_145_1
% 103.17/15.12 | (189) k1_zfmisc_1(all_145_5) = all_145_2
% 103.17/15.12 | (190) k3_xboole_0(all_124_0, all_145_5) = all_145_4
% 103.17/15.12 | (191) v12_waybel_0(all_145_4, all_39_8) = all_145_3
% 103.17/15.12 |
% 103.17/15.12 | DELTA: instantiating (159) with fresh symbols all_150_0, all_150_1, all_150_2,
% 103.17/15.12 | all_150_3, all_150_4, all_150_5, all_150_6 gives:
% 103.17/15.12 | (192) v12_waybel_0(all_150_5, all_39_8) = all_150_4 &
% 103.17/15.12 | k1_latsum_1(all_39_10, all_39_8) = all_150_1 & k3_xboole_0(all_124_0,
% 103.17/15.12 | all_39_5) = all_150_5 & k1_zfmisc_1(all_39_5) = all_150_3 &
% 103.17/15.12 | m1_subset_1(all_150_5, all_150_3) = all_150_2 & l1_orders_2(all_39_8)
% 103.17/15.12 | = all_150_6 & u1_orders_2(all_150_1) = all_150_0 & $i(all_150_0) &
% 103.17/15.12 | $i(all_150_1) & $i(all_150_3) & $i(all_150_5) & ( ~ (all_150_6 = 0) |
% 103.17/15.12 | ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ (all_150_2 = 0) | ~
% 103.17/15.12 | (all_150_4 = 0) | ~ (k4_tarski(v0, v1) = v2) | ~ $i(v1) | ~
% 103.17/15.12 | $i(v0) | ? [v3: any] : ? [v4: any] : ? [v5: any] :
% 103.17/15.12 | (r2_hidden(v2, all_150_0) = v3 & r2_hidden(v1, all_124_0) = v4 &
% 103.17/15.12 | r2_hidden(v0, all_124_0) = v5 & ( ~ (v4 = 0) | ~ (v3 = 0) | v5
% 103.17/15.12 | = 0))))
% 103.17/15.12 |
% 103.17/15.12 | ALPHA: (192) implies:
% 103.17/15.12 | (193) u1_orders_2(all_150_1) = all_150_0
% 103.17/15.12 | (194) l1_orders_2(all_39_8) = all_150_6
% 103.17/15.12 | (195) m1_subset_1(all_150_5, all_150_3) = all_150_2
% 103.17/15.12 | (196) k1_zfmisc_1(all_39_5) = all_150_3
% 103.17/15.12 | (197) k3_xboole_0(all_124_0, all_39_5) = all_150_5
% 103.17/15.12 | (198) k1_latsum_1(all_39_10, all_39_8) = all_150_1
% 103.17/15.12 | (199) v12_waybel_0(all_150_5, all_39_8) = all_150_4
% 103.17/15.12 |
% 103.17/15.12 | DELTA: instantiating (160) with fresh symbols all_152_0, all_152_1, all_152_2,
% 103.17/15.12 | all_152_3, all_152_4, all_152_5, all_152_6 gives:
% 103.17/15.12 | (200) v12_waybel_0(all_152_5, all_39_7) = all_152_4 &
% 103.17/15.12 | k1_latsum_1(all_39_10, all_39_7) = all_152_1 & k3_xboole_0(all_124_0,
% 103.17/15.12 | all_39_6) = all_152_5 & k1_zfmisc_1(all_39_6) = all_152_3 &
% 103.17/15.12 | m1_subset_1(all_152_5, all_152_3) = all_152_2 & l1_orders_2(all_39_7)
% 103.17/15.12 | = all_152_6 & u1_orders_2(all_152_1) = all_152_0 & $i(all_152_0) &
% 103.17/15.12 | $i(all_152_1) & $i(all_152_3) & $i(all_152_5) & ( ~ (all_152_6 = 0) |
% 103.17/15.12 | ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ (all_152_2 = 0) | ~
% 103.17/15.12 | (all_152_4 = 0) | ~ (k4_tarski(v0, v1) = v2) | ~ $i(v1) | ~
% 103.17/15.12 | $i(v0) | ? [v3: any] : ? [v4: any] : ? [v5: any] :
% 103.17/15.12 | (r2_hidden(v2, all_152_0) = v3 & r2_hidden(v1, all_124_0) = v4 &
% 103.17/15.12 | r2_hidden(v0, all_124_0) = v5 & ( ~ (v4 = 0) | ~ (v3 = 0) | v5
% 103.17/15.12 | = 0))))
% 103.17/15.12 |
% 103.17/15.12 | ALPHA: (200) implies:
% 103.17/15.12 | (201) l1_orders_2(all_39_7) = all_152_6
% 103.17/15.12 |
% 103.17/15.12 | DELTA: instantiating (162) with fresh symbols all_154_0, all_154_1, all_154_2,
% 103.17/15.12 | all_154_3, all_154_4, all_154_5, all_154_6 gives:
% 103.17/15.12 | (202) v12_waybel_0(all_154_5, all_39_8) = all_154_4 &
% 103.17/15.12 | k1_latsum_1(all_39_10, all_39_8) = all_154_1 & k3_xboole_0(all_124_0,
% 103.17/15.12 | all_154_6) = all_154_5 & k1_zfmisc_1(all_154_6) = all_154_3 &
% 103.17/15.12 | m1_subset_1(all_154_5, all_154_3) = all_154_2 & u1_struct_0(all_39_8)
% 103.17/15.12 | = all_154_6 & u1_orders_2(all_154_1) = all_154_0 & $i(all_154_0) &
% 103.17/15.12 | $i(all_154_1) & $i(all_154_3) & $i(all_154_5) & $i(all_154_6) & !
% 103.17/15.12 | [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ (all_154_2 = 0) | ~
% 103.17/15.12 | (all_154_4 = 0) | ~ (k4_tarski(v0, v1) = v2) | ~ $i(v1) | ~
% 103.17/15.12 | $i(v0) | ? [v3: any] : ? [v4: any] : ? [v5: any] :
% 103.17/15.12 | (r2_hidden(v2, all_154_0) = v3 & r2_hidden(v1, all_124_0) = v4 &
% 103.17/15.12 | r2_hidden(v0, all_124_0) = v5 & ( ~ (v4 = 0) | ~ (v3 = 0) | v5 =
% 103.17/15.12 | 0)))
% 103.17/15.12 |
% 103.17/15.12 | ALPHA: (202) implies:
% 103.17/15.12 | (203) u1_orders_2(all_154_1) = all_154_0
% 103.17/15.12 | (204) u1_struct_0(all_39_8) = all_154_6
% 103.17/15.12 | (205) m1_subset_1(all_154_5, all_154_3) = all_154_2
% 103.17/15.12 | (206) k1_zfmisc_1(all_154_6) = all_154_3
% 103.17/15.12 | (207) k3_xboole_0(all_124_0, all_154_6) = all_154_5
% 103.17/15.12 | (208) k1_latsum_1(all_39_10, all_39_8) = all_154_1
% 103.17/15.12 | (209) v12_waybel_0(all_154_5, all_39_8) = all_154_4
% 103.17/15.12 |
% 103.17/15.12 | DELTA: instantiating (161) with fresh symbols all_157_0, all_157_1, all_157_2,
% 103.17/15.12 | all_157_3, all_157_4, all_157_5, all_157_6 gives:
% 103.17/15.12 | (210) v12_waybel_0(all_157_5, all_39_10) = all_157_4 &
% 103.17/15.12 | k1_latsum_1(all_39_10, all_39_10) = all_157_1 &
% 103.17/15.12 | k3_xboole_0(all_124_0, all_157_6) = all_157_5 &
% 103.17/15.12 | k1_zfmisc_1(all_157_6) = all_157_3 & m1_subset_1(all_157_5,
% 103.17/15.12 | all_157_3) = all_157_2 & u1_struct_0(all_39_10) = all_157_6 &
% 103.17/15.12 | u1_orders_2(all_157_1) = all_157_0 & $i(all_157_0) & $i(all_157_1) &
% 103.17/15.12 | $i(all_157_3) & $i(all_157_5) & $i(all_157_6) & ! [v0: $i] : ! [v1:
% 103.17/15.12 | $i] : ! [v2: $i] : ( ~ (all_157_2 = 0) | ~ (all_157_4 = 0) | ~
% 103.17/15.12 | (k4_tarski(v0, v1) = v2) | ~ $i(v1) | ~ $i(v0) | ? [v3: any] :
% 103.17/15.12 | ? [v4: any] : ? [v5: any] : (r2_hidden(v2, all_157_0) = v3 &
% 103.17/15.12 | r2_hidden(v1, all_124_0) = v4 & r2_hidden(v0, all_124_0) = v5 & (
% 103.17/15.12 | ~ (v4 = 0) | ~ (v3 = 0) | v5 = 0)))
% 103.17/15.12 |
% 103.17/15.12 | ALPHA: (210) implies:
% 103.17/15.12 | (211) u1_struct_0(all_39_10) = all_157_6
% 103.17/15.12 |
% 103.17/15.12 | DELTA: instantiating (158) with fresh symbols all_160_0, all_160_1, all_160_2,
% 103.17/15.12 | all_160_3, all_160_4, all_160_5, all_160_6 gives:
% 103.17/15.12 | (212) v12_waybel_0(all_160_5, all_39_10) = all_160_4 &
% 103.17/15.12 | k1_latsum_1(all_39_10, all_39_10) = all_160_1 &
% 103.17/15.12 | k3_xboole_0(all_124_0, all_39_9) = all_160_5 & k1_zfmisc_1(all_39_9)
% 103.17/15.12 | = all_160_3 & m1_subset_1(all_160_5, all_160_3) = all_160_2 &
% 103.17/15.12 | l1_orders_2(all_39_10) = all_160_6 & u1_orders_2(all_160_1) =
% 103.17/15.12 | all_160_0 & $i(all_160_0) & $i(all_160_1) & $i(all_160_3) &
% 103.17/15.12 | $i(all_160_5) & ( ~ (all_160_6 = 0) | ! [v0: $i] : ! [v1: $i] : !
% 103.17/15.12 | [v2: $i] : ( ~ (all_160_2 = 0) | ~ (all_160_4 = 0) | ~
% 103.17/15.12 | (k4_tarski(v0, v1) = v2) | ~ $i(v1) | ~ $i(v0) | ? [v3: any] :
% 103.17/15.12 | ? [v4: any] : ? [v5: any] : (r2_hidden(v2, all_160_0) = v3 &
% 103.17/15.12 | r2_hidden(v1, all_124_0) = v4 & r2_hidden(v0, all_124_0) = v5 &
% 103.17/15.12 | ( ~ (v4 = 0) | ~ (v3 = 0) | v5 = 0))))
% 103.17/15.12 |
% 103.17/15.12 | ALPHA: (212) implies:
% 103.17/15.12 | (213) l1_orders_2(all_39_10) = all_160_6
% 103.17/15.12 |
% 103.17/15.12 | DELTA: instantiating (171) with fresh symbols all_162_0, all_162_1, all_162_2,
% 103.17/15.12 | all_162_3, all_162_4, all_162_5, all_162_6 gives:
% 103.17/15.13 | (214) v12_waybel_0(all_162_5, all_39_8) = all_162_4 & k1_latsum_1(all_30_0,
% 103.17/15.13 | all_39_8) = all_162_1 & k3_xboole_0(all_127_0, all_162_6) =
% 103.17/15.13 | all_162_5 & k1_zfmisc_1(all_162_6) = all_162_3 &
% 103.17/15.13 | m1_subset_1(all_162_5, all_162_3) = all_162_2 & u1_struct_0(all_39_8)
% 103.17/15.13 | = all_162_6 & u1_orders_2(all_162_1) = all_162_0 & $i(all_162_0) &
% 103.17/15.13 | $i(all_162_1) & $i(all_162_3) & $i(all_162_5) & $i(all_162_6) & !
% 103.17/15.13 | [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ (all_162_2 = 0) | ~
% 103.17/15.13 | (all_162_4 = 0) | ~ (k4_tarski(v0, v1) = v2) | ~ $i(v1) | ~
% 103.17/15.13 | $i(v0) | ? [v3: any] : ? [v4: any] : ? [v5: any] :
% 103.17/15.13 | (r2_hidden(v2, all_162_0) = v3 & r2_hidden(v1, all_127_0) = v4 &
% 103.17/15.13 | r2_hidden(v0, all_127_0) = v5 & ( ~ (v4 = 0) | ~ (v3 = 0) | v5 =
% 103.17/15.13 | 0)))
% 103.17/15.13 |
% 103.17/15.13 | ALPHA: (214) implies:
% 103.17/15.13 | (215) u1_struct_0(all_39_8) = all_162_6
% 103.17/15.13 | (216) k1_zfmisc_1(all_162_6) = all_162_3
% 103.17/15.13 |
% 103.17/15.13 | DELTA: instantiating (170) with fresh symbols all_165_0, all_165_1, all_165_2,
% 103.17/15.13 | all_165_3, all_165_4, all_165_5, all_165_6 gives:
% 103.17/15.13 | (217) v12_waybel_0(all_165_5, all_39_10) = all_165_4 &
% 103.17/15.13 | k1_latsum_1(all_30_0, all_39_10) = all_165_1 & k3_xboole_0(all_127_0,
% 103.17/15.13 | all_165_6) = all_165_5 & k1_zfmisc_1(all_165_6) = all_165_3 &
% 103.17/15.13 | m1_subset_1(all_165_5, all_165_3) = all_165_2 &
% 103.17/15.13 | u1_struct_0(all_39_10) = all_165_6 & u1_orders_2(all_165_1) =
% 103.17/15.13 | all_165_0 & $i(all_165_0) & $i(all_165_1) & $i(all_165_3) &
% 103.17/15.13 | $i(all_165_5) & $i(all_165_6) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 103.17/15.13 | $i] : ( ~ (all_165_2 = 0) | ~ (all_165_4 = 0) | ~ (k4_tarski(v0,
% 103.17/15.13 | v1) = v2) | ~ $i(v1) | ~ $i(v0) | ? [v3: any] : ? [v4: any]
% 103.17/15.13 | : ? [v5: any] : (r2_hidden(v2, all_165_0) = v3 & r2_hidden(v1,
% 103.17/15.13 | all_127_0) = v4 & r2_hidden(v0, all_127_0) = v5 & ( ~ (v4 = 0)
% 103.17/15.13 | | ~ (v3 = 0) | v5 = 0)))
% 103.17/15.13 |
% 103.17/15.13 | ALPHA: (217) implies:
% 103.17/15.13 | (218) u1_struct_0(all_39_10) = all_165_6
% 103.17/15.13 |
% 103.17/15.13 | DELTA: instantiating (169) with fresh symbols all_171_0, all_171_1, all_171_2,
% 103.17/15.13 | all_171_3, all_171_4, all_171_5, all_171_6 gives:
% 103.17/15.13 | (219) v12_waybel_0(all_171_5, all_39_7) = all_171_4 & k1_latsum_1(all_30_0,
% 103.17/15.13 | all_39_7) = all_171_1 & k3_xboole_0(all_127_0, all_39_6) =
% 103.17/15.13 | all_171_5 & k1_zfmisc_1(all_39_6) = all_171_3 &
% 103.17/15.13 | m1_subset_1(all_171_5, all_171_3) = all_171_2 & l1_orders_2(all_39_7)
% 103.17/15.13 | = all_171_6 & u1_orders_2(all_171_1) = all_171_0 & $i(all_171_0) &
% 103.17/15.13 | $i(all_171_1) & $i(all_171_3) & $i(all_171_5) & ( ~ (all_171_6 = 0) |
% 103.17/15.13 | ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ (all_171_2 = 0) | ~
% 103.17/15.13 | (all_171_4 = 0) | ~ (k4_tarski(v0, v1) = v2) | ~ $i(v1) | ~
% 103.17/15.13 | $i(v0) | ? [v3: any] : ? [v4: any] : ? [v5: any] :
% 103.17/15.13 | (r2_hidden(v2, all_171_0) = v3 & r2_hidden(v1, all_127_0) = v4 &
% 103.17/15.13 | r2_hidden(v0, all_127_0) = v5 & ( ~ (v4 = 0) | ~ (v3 = 0) | v5
% 103.17/15.13 | = 0))))
% 103.17/15.13 |
% 103.17/15.13 | ALPHA: (219) implies:
% 103.17/15.13 | (220) l1_orders_2(all_39_7) = all_171_6
% 103.17/15.13 |
% 103.17/15.13 | DELTA: instantiating (168) with fresh symbols all_173_0, all_173_1, all_173_2,
% 103.17/15.13 | all_173_3, all_173_4, all_173_5, all_173_6 gives:
% 103.17/15.13 | (221) v12_waybel_0(all_173_5, all_39_8) = all_173_4 & k1_latsum_1(all_30_0,
% 103.17/15.13 | all_39_8) = all_173_1 & k3_xboole_0(all_127_0, all_39_5) =
% 103.17/15.13 | all_173_5 & k1_zfmisc_1(all_39_5) = all_173_3 &
% 103.17/15.13 | m1_subset_1(all_173_5, all_173_3) = all_173_2 & l1_orders_2(all_39_8)
% 103.17/15.13 | = all_173_6 & u1_orders_2(all_173_1) = all_173_0 & $i(all_173_0) &
% 103.17/15.13 | $i(all_173_1) & $i(all_173_3) & $i(all_173_5) & ( ~ (all_173_6 = 0) |
% 103.17/15.13 | ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ (all_173_2 = 0) | ~
% 103.17/15.13 | (all_173_4 = 0) | ~ (k4_tarski(v0, v1) = v2) | ~ $i(v1) | ~
% 103.17/15.13 | $i(v0) | ? [v3: any] : ? [v4: any] : ? [v5: any] :
% 103.17/15.13 | (r2_hidden(v2, all_173_0) = v3 & r2_hidden(v1, all_127_0) = v4 &
% 103.17/15.13 | r2_hidden(v0, all_127_0) = v5 & ( ~ (v4 = 0) | ~ (v3 = 0) | v5
% 103.17/15.13 | = 0))))
% 103.17/15.13 |
% 103.17/15.13 | ALPHA: (221) implies:
% 103.17/15.13 | (222) l1_orders_2(all_39_8) = all_173_6
% 103.17/15.13 | (223) k1_zfmisc_1(all_39_5) = all_173_3
% 103.17/15.13 |
% 103.17/15.13 | DELTA: instantiating (167) with fresh symbols all_175_0, all_175_1, all_175_2,
% 103.17/15.13 | all_175_3, all_175_4, all_175_5, all_175_6 gives:
% 103.17/15.13 | (224) v12_waybel_0(all_175_5, all_39_10) = all_175_4 &
% 103.17/15.13 | k1_latsum_1(all_30_0, all_39_10) = all_175_1 & k3_xboole_0(all_127_0,
% 103.17/15.13 | all_39_9) = all_175_5 & k1_zfmisc_1(all_39_9) = all_175_3 &
% 103.17/15.13 | m1_subset_1(all_175_5, all_175_3) = all_175_2 &
% 103.17/15.13 | l1_orders_2(all_39_10) = all_175_6 & u1_orders_2(all_175_1) =
% 103.17/15.13 | all_175_0 & $i(all_175_0) & $i(all_175_1) & $i(all_175_3) &
% 103.17/15.13 | $i(all_175_5) & ( ~ (all_175_6 = 0) | ! [v0: $i] : ! [v1: $i] : !
% 103.17/15.13 | [v2: $i] : ( ~ (all_175_2 = 0) | ~ (all_175_4 = 0) | ~
% 103.17/15.13 | (k4_tarski(v0, v1) = v2) | ~ $i(v1) | ~ $i(v0) | ? [v3: any] :
% 103.17/15.13 | ? [v4: any] : ? [v5: any] : (r2_hidden(v2, all_175_0) = v3 &
% 103.17/15.13 | r2_hidden(v1, all_127_0) = v4 & r2_hidden(v0, all_127_0) = v5 &
% 103.17/15.13 | ( ~ (v4 = 0) | ~ (v3 = 0) | v5 = 0))))
% 103.17/15.13 |
% 103.17/15.13 | ALPHA: (224) implies:
% 103.17/15.13 | (225) l1_orders_2(all_39_10) = all_175_6
% 103.17/15.13 |
% 103.17/15.13 | GROUND_INST: instantiating (13) with all_71_1, all_113_0, all_39_7,
% 103.17/15.13 | simplifying with (98), (139) gives:
% 103.17/15.13 | (226) all_113_0 = all_71_1
% 103.17/15.13 |
% 103.17/15.13 | GROUND_INST: instantiating (13) with all_113_0, all_145_0, all_39_7,
% 103.17/15.13 | simplifying with (139), (185) gives:
% 103.17/15.13 | (227) all_145_0 = all_113_0
% 103.17/15.13 |
% 103.17/15.13 | GROUND_INST: instantiating (13) with all_83_1, all_145_0, all_39_7,
% 103.17/15.13 | simplifying with (112), (185) gives:
% 103.17/15.13 | (228) all_145_0 = all_83_1
% 103.17/15.13 |
% 103.17/15.13 | GROUND_INST: instantiating (14) with all_39_9, all_106_1, all_39_10,
% 103.17/15.13 | simplifying with (35), (133) gives:
% 103.17/15.13 | (229) all_106_1 = all_39_9
% 103.17/15.13 |
% 103.17/15.13 | GROUND_INST: instantiating (14) with all_106_1, all_124_0, all_39_10,
% 103.17/15.13 | simplifying with (133), (154) gives:
% 103.17/15.13 | (230) all_124_0 = all_106_1
% 103.17/15.13 |
% 103.17/15.13 | GROUND_INST: instantiating (14) with all_106_1, all_133_6, all_39_10,
% 103.17/15.13 | simplifying with (133), (176) gives:
% 103.17/15.13 | (231) all_133_6 = all_106_1
% 103.17/15.13 |
% 103.17/15.13 | GROUND_INST: instantiating (14) with all_133_6, all_157_6, all_39_10,
% 103.17/15.13 | simplifying with (176), (211) gives:
% 103.17/15.13 | (232) all_157_6 = all_133_6
% 103.17/15.13 |
% 103.17/15.13 | GROUND_INST: instantiating (14) with all_75_2, all_157_6, all_39_10,
% 103.17/15.13 | simplifying with (106), (211) gives:
% 103.17/15.13 | (233) all_157_6 = all_75_2
% 103.17/15.13 |
% 103.17/15.13 | GROUND_INST: instantiating (14) with all_124_0, all_165_6, all_39_10,
% 103.17/15.13 | simplifying with (154), (218) gives:
% 103.17/15.13 | (234) all_165_6 = all_124_0
% 103.17/15.13 |
% 103.17/15.13 | GROUND_INST: instantiating (14) with all_65_0, all_165_6, all_39_10,
% 103.17/15.13 | simplifying with (92), (218) gives:
% 103.17/15.13 | (235) all_165_6 = all_65_0
% 103.17/15.13 |
% 103.17/15.13 | GROUND_INST: instantiating (14) with all_39_5, all_121_0, all_39_8,
% 103.17/15.13 | simplifying with (36), (145) gives:
% 103.17/15.13 | (236) all_121_0 = all_39_5
% 103.17/15.13 |
% 103.17/15.13 | GROUND_INST: instantiating (14) with all_145_5, all_154_6, all_39_8,
% 103.17/15.13 | simplifying with (186), (204) gives:
% 103.17/15.13 | (237) all_154_6 = all_145_5
% 103.17/15.13 |
% 103.17/15.13 | GROUND_INST: instantiating (14) with all_121_0, all_154_6, all_39_8,
% 103.17/15.13 | simplifying with (145), (204) gives:
% 103.17/15.13 | (238) all_154_6 = all_121_0
% 103.17/15.13 |
% 103.17/15.13 | GROUND_INST: instantiating (14) with all_77_2, all_154_6, all_39_8,
% 103.17/15.13 | simplifying with (108), (204) gives:
% 103.17/15.13 | (239) all_154_6 = all_77_2
% 103.17/15.13 |
% 103.17/15.13 | GROUND_INST: instantiating (14) with all_130_6, all_162_6, all_39_8,
% 103.17/15.13 | simplifying with (173), (215) gives:
% 103.17/15.13 | (240) all_162_6 = all_130_6
% 103.17/15.13 |
% 103.17/15.13 | GROUND_INST: instantiating (14) with all_121_0, all_162_6, all_39_8,
% 103.17/15.13 | simplifying with (145), (215) gives:
% 103.17/15.13 | (241) all_162_6 = all_121_0
% 103.17/15.13 |
% 103.17/15.13 | GROUND_INST: instantiating (14) with all_115_1, all_162_6, all_39_8,
% 103.17/15.13 | simplifying with (143), (215) gives:
% 103.17/15.13 | (242) all_162_6 = all_115_1
% 103.17/15.13 |
% 103.17/15.13 | GROUND_INST: instantiating (14) with all_63_0, all_162_6, all_39_8,
% 103.17/15.13 | simplifying with (90), (215) gives:
% 103.17/15.13 | (243) all_162_6 = all_63_0
% 103.17/15.13 |
% 103.17/15.13 | GROUND_INST: instantiating (15) with 0, all_79_3, all_39_10, simplifying with
% 103.17/15.13 | (38), (110) gives:
% 103.17/15.13 | (244) all_79_3 = 0
% 103.17/15.13 |
% 103.17/15.13 | GROUND_INST: instantiating (15) with all_79_3, all_111_1, all_39_10,
% 103.17/15.13 | simplifying with (110), (137) gives:
% 103.17/15.13 | (245) all_111_1 = all_79_3
% 103.17/15.13 |
% 103.17/15.13 | GROUND_INST: instantiating (15) with all_79_3, all_143_6, all_39_10,
% 103.17/15.13 | simplifying with (110), (183) gives:
% 103.17/15.13 | (246) all_143_6 = all_79_3
% 103.17/15.13 |
% 103.17/15.13 | GROUND_INST: instantiating (15) with all_143_6, all_160_6, all_39_10,
% 103.17/15.13 | simplifying with (183), (213) gives:
% 103.17/15.13 | (247) all_160_6 = all_143_6
% 103.17/15.13 |
% 103.17/15.13 | GROUND_INST: instantiating (15) with all_73_3, all_160_6, all_39_10,
% 103.17/15.13 | simplifying with (101), (213) gives:
% 103.17/15.13 | (248) all_160_6 = all_73_3
% 103.17/15.13 |
% 103.17/15.13 | GROUND_INST: instantiating (15) with all_111_1, all_175_6, all_39_10,
% 103.17/15.13 | simplifying with (137), (225) gives:
% 103.17/15.13 | (249) all_175_6 = all_111_1
% 103.17/15.13 |
% 103.17/15.13 | GROUND_INST: instantiating (15) with all_69_2, all_175_6, all_39_10,
% 103.17/15.13 | simplifying with (96), (225) gives:
% 103.17/15.13 | (250) all_175_6 = all_69_2
% 103.17/15.13 |
% 103.17/15.13 | GROUND_INST: instantiating (15) with all_67_2, all_73_2, all_39_8, simplifying
% 103.17/15.13 | with (94), (102) gives:
% 103.17/15.13 | (251) all_73_2 = all_67_2
% 103.17/15.13 |
% 103.17/15.13 | GROUND_INST: instantiating (15) with 0, all_145_6, all_39_8, simplifying with
% 103.17/15.13 | (39), (187) gives:
% 103.17/15.13 | (252) all_145_6 = 0
% 103.17/15.13 |
% 103.17/15.13 | GROUND_INST: instantiating (15) with all_109_1, all_145_6, all_39_8,
% 103.17/15.13 | simplifying with (135), (187) gives:
% 103.17/15.13 | (253) all_145_6 = all_109_1
% 103.17/15.13 |
% 103.17/15.13 | GROUND_INST: instantiating (15) with all_109_1, all_150_6, all_39_8,
% 103.17/15.13 | simplifying with (135), (194) gives:
% 103.17/15.13 | (254) all_150_6 = all_109_1
% 103.17/15.13 |
% 103.17/15.13 | GROUND_INST: instantiating (15) with all_85_3, all_150_6, all_39_8,
% 103.17/15.13 | simplifying with (115), (194) gives:
% 103.17/15.13 | (255) all_150_6 = all_85_3
% 103.17/15.13 |
% 103.17/15.13 | GROUND_INST: instantiating (15) with all_73_2, all_150_6, all_39_8,
% 103.17/15.13 | simplifying with (102), (194) gives:
% 103.17/15.13 | (256) all_150_6 = all_73_2
% 103.17/15.13 |
% 103.17/15.13 | GROUND_INST: instantiating (15) with all_150_6, all_173_6, all_39_8,
% 103.17/15.13 | simplifying with (194), (222) gives:
% 103.17/15.13 | (257) all_173_6 = all_150_6
% 103.17/15.13 |
% 103.17/15.13 | GROUND_INST: instantiating (15) with all_141_6, all_173_6, all_39_8,
% 103.17/15.13 | simplifying with (180), (222) gives:
% 103.17/15.13 | (258) all_173_6 = all_141_6
% 103.17/15.13 |
% 103.17/15.13 | GROUND_INST: instantiating (15) with all_71_2, all_113_1, all_39_7,
% 103.17/15.13 | simplifying with (99), (140) gives:
% 103.17/15.13 | (259) all_113_1 = all_71_2
% 103.17/15.13 |
% 103.17/15.13 | GROUND_INST: instantiating (15) with all_113_1, all_139_6, all_39_7,
% 103.17/15.13 | simplifying with (140), (178) gives:
% 103.17/15.13 | (260) all_139_6 = all_113_1
% 103.17/15.13 |
% 103.17/15.13 | GROUND_INST: instantiating (15) with all_83_3, all_139_6, all_39_7,
% 103.17/15.13 | simplifying with (113), (178) gives:
% 103.17/15.13 | (261) all_139_6 = all_83_3
% 103.17/15.13 |
% 103.17/15.13 | GROUND_INST: instantiating (15) with all_113_1, all_152_6, all_39_7,
% 103.17/15.13 | simplifying with (140), (201) gives:
% 103.17/15.13 | (262) all_152_6 = all_113_1
% 103.17/15.13 |
% 103.17/15.13 | GROUND_INST: instantiating (15) with all_152_6, all_171_6, all_39_7,
% 103.17/15.13 | simplifying with (201), (220) gives:
% 103.17/15.13 | (263) all_171_6 = all_152_6
% 103.17/15.13 |
% 103.17/15.13 | GROUND_INST: instantiating (15) with all_73_0, all_171_6, all_39_7,
% 103.17/15.13 | simplifying with (103), (220) gives:
% 103.17/15.14 | (264) all_171_6 = all_73_0
% 103.17/15.14 |
% 103.17/15.14 | GROUND_INST: instantiating (16) with all_141_3, all_150_3, all_39_5,
% 103.17/15.14 | simplifying with (181), (196) gives:
% 103.17/15.14 | (265) all_150_3 = all_141_3
% 103.17/15.14 |
% 103.17/15.14 | GROUND_INST: instantiating (16) with all_39_3, all_173_3, all_39_5,
% 103.17/15.14 | simplifying with (45), (223) gives:
% 103.17/15.14 | (266) all_173_3 = all_39_3
% 103.17/15.14 |
% 103.17/15.14 | GROUND_INST: instantiating (16) with all_150_3, all_173_3, all_39_5,
% 103.17/15.14 | simplifying with (196), (223) gives:
% 103.17/15.14 | (267) all_173_3 = all_150_3
% 103.17/15.14 |
% 103.17/15.14 | GROUND_INST: instantiating (21) with all_39_7, all_154_1, all_39_8, all_39_10,
% 103.17/15.14 | simplifying with (48), (208) gives:
% 103.17/15.14 | (268) all_154_1 = all_39_7
% 103.17/15.14 |
% 103.17/15.14 | GROUND_INST: instantiating (21) with all_150_1, all_154_1, all_39_8,
% 103.17/15.14 | all_39_10, simplifying with (198), (208) gives:
% 103.17/15.14 | (269) all_154_1 = all_150_1
% 103.17/15.14 |
% 103.17/15.14 | COMBINE_EQS: (249), (250) imply:
% 103.17/15.14 | (270) all_111_1 = all_69_2
% 103.17/15.14 |
% 103.17/15.14 | SIMP: (270) implies:
% 103.17/15.14 | (271) all_111_1 = all_69_2
% 103.17/15.14 |
% 103.17/15.14 | COMBINE_EQS: (266), (267) imply:
% 103.17/15.14 | (272) all_150_3 = all_39_3
% 103.17/15.14 |
% 103.17/15.14 | SIMP: (272) implies:
% 103.17/15.14 | (273) all_150_3 = all_39_3
% 103.17/15.14 |
% 103.17/15.14 | COMBINE_EQS: (257), (258) imply:
% 103.17/15.14 | (274) all_150_6 = all_141_6
% 103.17/15.14 |
% 103.17/15.14 | SIMP: (274) implies:
% 103.17/15.14 | (275) all_150_6 = all_141_6
% 103.17/15.14 |
% 103.17/15.14 | COMBINE_EQS: (263), (264) imply:
% 103.17/15.14 | (276) all_152_6 = all_73_0
% 103.17/15.14 |
% 103.17/15.14 | SIMP: (276) implies:
% 103.17/15.14 | (277) all_152_6 = all_73_0
% 103.17/15.14 |
% 103.17/15.14 | COMBINE_EQS: (234), (235) imply:
% 103.17/15.14 | (278) all_124_0 = all_65_0
% 103.17/15.14 |
% 103.17/15.14 | SIMP: (278) implies:
% 103.17/15.14 | (279) all_124_0 = all_65_0
% 103.17/15.14 |
% 103.17/15.14 | COMBINE_EQS: (240), (243) imply:
% 103.17/15.14 | (280) all_130_6 = all_63_0
% 103.17/15.14 |
% 103.17/15.14 | COMBINE_EQS: (240), (242) imply:
% 103.17/15.14 | (281) all_130_6 = all_115_1
% 103.17/15.14 |
% 103.17/15.14 | COMBINE_EQS: (240), (241) imply:
% 103.17/15.14 | (282) all_130_6 = all_121_0
% 103.17/15.14 |
% 103.17/15.14 | COMBINE_EQS: (247), (248) imply:
% 103.17/15.14 | (283) all_143_6 = all_73_3
% 103.17/15.14 |
% 103.17/15.14 | SIMP: (283) implies:
% 103.17/15.14 | (284) all_143_6 = all_73_3
% 103.17/15.14 |
% 103.17/15.14 | COMBINE_EQS: (232), (233) imply:
% 103.17/15.14 | (285) all_133_6 = all_75_2
% 103.17/15.14 |
% 103.17/15.14 | SIMP: (285) implies:
% 103.17/15.14 | (286) all_133_6 = all_75_2
% 103.17/15.14 |
% 103.17/15.14 | COMBINE_EQS: (268), (269) imply:
% 103.17/15.14 | (287) all_150_1 = all_39_7
% 103.17/15.14 |
% 103.17/15.14 | SIMP: (287) implies:
% 103.17/15.14 | (288) all_150_1 = all_39_7
% 103.17/15.14 |
% 103.17/15.14 | COMBINE_EQS: (237), (238) imply:
% 103.17/15.14 | (289) all_145_5 = all_121_0
% 103.17/15.14 |
% 103.17/15.14 | COMBINE_EQS: (237), (239) imply:
% 103.17/15.14 | (290) all_145_5 = all_77_2
% 103.17/15.14 |
% 103.17/15.14 | COMBINE_EQS: (262), (277) imply:
% 103.17/15.14 | (291) all_113_1 = all_73_0
% 103.17/15.14 |
% 103.17/15.14 | SIMP: (291) implies:
% 103.17/15.14 | (292) all_113_1 = all_73_0
% 103.17/15.14 |
% 103.17/15.14 | COMBINE_EQS: (265), (273) imply:
% 103.17/15.14 | (293) all_141_3 = all_39_3
% 103.17/15.14 |
% 103.17/15.14 | COMBINE_EQS: (255), (275) imply:
% 103.17/15.14 | (294) all_141_6 = all_85_3
% 103.17/15.14 |
% 103.17/15.14 | COMBINE_EQS: (254), (275) imply:
% 103.17/15.14 | (295) all_141_6 = all_109_1
% 103.17/15.14 |
% 103.17/15.14 | COMBINE_EQS: (256), (275) imply:
% 103.17/15.14 | (296) all_141_6 = all_73_2
% 103.17/15.14 |
% 103.17/15.14 | COMBINE_EQS: (227), (228) imply:
% 103.17/15.14 | (297) all_113_0 = all_83_1
% 103.17/15.14 |
% 103.17/15.14 | SIMP: (297) implies:
% 103.17/15.14 | (298) all_113_0 = all_83_1
% 103.17/15.14 |
% 103.17/15.14 | COMBINE_EQS: (289), (290) imply:
% 103.17/15.14 | (299) all_121_0 = all_77_2
% 103.17/15.14 |
% 103.17/15.14 | SIMP: (299) implies:
% 103.17/15.14 | (300) all_121_0 = all_77_2
% 103.17/15.14 |
% 103.17/15.14 | COMBINE_EQS: (252), (253) imply:
% 103.17/15.14 | (301) all_109_1 = 0
% 103.17/15.14 |
% 103.17/15.14 | SIMP: (301) implies:
% 103.17/15.14 | (302) all_109_1 = 0
% 103.17/15.14 |
% 103.17/15.14 | COMBINE_EQS: (246), (284) imply:
% 103.17/15.14 | (303) all_79_3 = all_73_3
% 103.17/15.14 |
% 103.17/15.14 | SIMP: (303) implies:
% 103.17/15.14 | (304) all_79_3 = all_73_3
% 103.17/15.14 |
% 103.17/15.14 | COMBINE_EQS: (294), (295) imply:
% 103.17/15.14 | (305) all_109_1 = all_85_3
% 103.17/15.14 |
% 103.17/15.14 | SIMP: (305) implies:
% 103.17/15.14 | (306) all_109_1 = all_85_3
% 103.17/15.14 |
% 103.17/15.14 | COMBINE_EQS: (294), (296) imply:
% 103.17/15.14 | (307) all_85_3 = all_73_2
% 103.17/15.14 |
% 103.17/15.14 | COMBINE_EQS: (260), (261) imply:
% 103.17/15.14 | (308) all_113_1 = all_83_3
% 103.17/15.14 |
% 103.17/15.14 | SIMP: (308) implies:
% 103.17/15.14 | (309) all_113_1 = all_83_3
% 103.17/15.14 |
% 103.17/15.14 | COMBINE_EQS: (231), (286) imply:
% 103.17/15.14 | (310) all_106_1 = all_75_2
% 103.17/15.14 |
% 103.17/15.14 | SIMP: (310) implies:
% 103.17/15.14 | (311) all_106_1 = all_75_2
% 103.17/15.14 |
% 103.17/15.14 | COMBINE_EQS: (280), (281) imply:
% 103.17/15.14 | (312) all_115_1 = all_63_0
% 103.17/15.14 |
% 103.17/15.14 | COMBINE_EQS: (281), (282) imply:
% 103.17/15.14 | (313) all_121_0 = all_115_1
% 103.17/15.14 |
% 103.17/15.14 | SIMP: (313) implies:
% 103.17/15.14 | (314) all_121_0 = all_115_1
% 103.17/15.14 |
% 103.17/15.14 | COMBINE_EQS: (230), (279) imply:
% 103.17/15.14 | (315) all_106_1 = all_65_0
% 103.17/15.14 |
% 103.17/15.14 | SIMP: (315) implies:
% 103.17/15.14 | (316) all_106_1 = all_65_0
% 103.17/15.14 |
% 103.17/15.14 | COMBINE_EQS: (300), (314) imply:
% 103.17/15.14 | (317) all_115_1 = all_77_2
% 103.17/15.14 |
% 103.17/15.14 | SIMP: (317) implies:
% 103.17/15.14 | (318) all_115_1 = all_77_2
% 103.17/15.14 |
% 103.17/15.14 | COMBINE_EQS: (236), (300) imply:
% 103.17/15.14 | (319) all_77_2 = all_39_5
% 103.17/15.14 |
% 103.17/15.14 | COMBINE_EQS: (312), (318) imply:
% 103.17/15.14 | (320) all_77_2 = all_63_0
% 103.17/15.14 |
% 103.17/15.14 | SIMP: (320) implies:
% 103.17/15.14 | (321) all_77_2 = all_63_0
% 103.17/15.14 |
% 103.17/15.14 | COMBINE_EQS: (226), (298) imply:
% 103.17/15.14 | (322) all_83_1 = all_71_1
% 103.17/15.14 |
% 103.17/15.14 | COMBINE_EQS: (259), (309) imply:
% 103.17/15.14 | (323) all_83_3 = all_71_2
% 103.17/15.14 |
% 103.17/15.14 | COMBINE_EQS: (292), (309) imply:
% 103.17/15.14 | (324) all_83_3 = all_73_0
% 103.17/15.14 |
% 103.17/15.14 | COMBINE_EQS: (245), (271) imply:
% 103.17/15.14 | (325) all_79_3 = all_69_2
% 103.17/15.14 |
% 103.17/15.14 | SIMP: (325) implies:
% 103.17/15.14 | (326) all_79_3 = all_69_2
% 103.17/15.14 |
% 103.17/15.14 | COMBINE_EQS: (302), (306) imply:
% 103.17/15.14 | (327) all_85_3 = 0
% 103.17/15.14 |
% 103.17/15.14 | SIMP: (327) implies:
% 103.17/15.14 | (328) all_85_3 = 0
% 103.17/15.14 |
% 103.17/15.14 | COMBINE_EQS: (229), (311) imply:
% 103.17/15.14 | (329) all_75_2 = all_39_9
% 103.17/15.14 |
% 103.17/15.14 | COMBINE_EQS: (311), (316) imply:
% 103.17/15.14 | (330) all_75_2 = all_65_0
% 103.17/15.14 |
% 103.17/15.14 | COMBINE_EQS: (307), (328) imply:
% 103.17/15.14 | (331) all_73_2 = 0
% 103.17/15.14 |
% 103.17/15.14 | SIMP: (331) implies:
% 103.17/15.14 | (332) all_73_2 = 0
% 103.17/15.14 |
% 103.17/15.14 | COMBINE_EQS: (323), (324) imply:
% 103.17/15.14 | (333) all_73_0 = all_71_2
% 103.17/15.14 |
% 103.17/15.14 | COMBINE_EQS: (304), (326) imply:
% 103.17/15.14 | (334) all_73_3 = all_69_2
% 103.17/15.14 |
% 103.17/15.14 | COMBINE_EQS: (244), (304) imply:
% 103.17/15.14 | (335) all_73_3 = 0
% 103.17/15.14 |
% 103.17/15.14 | COMBINE_EQS: (319), (321) imply:
% 103.17/15.14 | (336) all_63_0 = all_39_5
% 103.17/15.14 |
% 103.17/15.14 | COMBINE_EQS: (329), (330) imply:
% 103.17/15.14 | (337) all_65_0 = all_39_9
% 103.17/15.14 |
% 103.17/15.14 | SIMP: (337) implies:
% 103.17/15.14 | (338) all_65_0 = all_39_9
% 103.17/15.14 |
% 103.17/15.14 | COMBINE_EQS: (251), (332) imply:
% 103.17/15.14 | (339) all_67_2 = 0
% 103.17/15.14 |
% 103.17/15.14 | SIMP: (339) implies:
% 103.17/15.14 | (340) all_67_2 = 0
% 103.17/15.14 |
% 103.17/15.14 | COMBINE_EQS: (334), (335) imply:
% 103.17/15.14 | (341) all_69_2 = 0
% 103.17/15.14 |
% 103.17/15.14 | SIMP: (341) implies:
% 103.17/15.14 | (342) all_69_2 = 0
% 103.17/15.14 |
% 103.17/15.14 | COMBINE_EQS: (312), (336) imply:
% 103.17/15.14 | (343) all_115_1 = all_39_5
% 103.17/15.14 |
% 103.17/15.14 | COMBINE_EQS: (279), (338) imply:
% 103.17/15.14 | (344) all_124_0 = all_39_9
% 103.17/15.14 |
% 103.17/15.14 | COMBINE_EQS: (281), (343) imply:
% 103.17/15.14 | (345) all_130_6 = all_39_5
% 103.17/15.14 |
% 103.17/15.14 | COMBINE_EQS: (290), (319) imply:
% 103.17/15.14 | (346) all_145_5 = all_39_5
% 103.17/15.14 |
% 103.17/15.14 | COMBINE_EQS: (237), (346) imply:
% 103.17/15.14 | (347) all_154_6 = all_39_5
% 103.17/15.14 |
% 103.17/15.14 | COMBINE_EQS: (240), (345) imply:
% 103.17/15.14 | (348) all_162_6 = all_39_5
% 103.17/15.14 |
% 103.17/15.14 | REDUCE: (207), (344), (347) imply:
% 103.17/15.14 | (349) k3_xboole_0(all_39_9, all_39_5) = all_154_5
% 103.17/15.14 |
% 103.17/15.14 | REDUCE: (190), (344), (346) imply:
% 103.17/15.14 | (350) k3_xboole_0(all_39_9, all_39_5) = all_145_4
% 103.17/15.14 |
% 103.17/15.14 | REDUCE: (197), (344) imply:
% 103.17/15.14 | (351) k3_xboole_0(all_39_9, all_39_5) = all_150_5
% 103.17/15.14 |
% 103.17/15.14 | REDUCE: (216), (348) imply:
% 103.17/15.14 | (352) k1_zfmisc_1(all_39_5) = all_162_3
% 103.17/15.14 |
% 103.17/15.14 | REDUCE: (206), (347) imply:
% 103.17/15.14 | (353) k1_zfmisc_1(all_39_5) = all_154_3
% 103.17/15.14 |
% 103.17/15.14 | REDUCE: (189), (346) imply:
% 103.17/15.14 | (354) k1_zfmisc_1(all_39_5) = all_145_2
% 103.17/15.14 |
% 103.17/15.14 | REDUCE: (174), (345) imply:
% 103.17/15.14 | (355) k1_zfmisc_1(all_39_5) = all_130_3
% 103.17/15.14 |
% 103.17/15.14 | REDUCE: (195), (273) imply:
% 103.17/15.14 | (356) m1_subset_1(all_150_5, all_39_3) = all_150_2
% 103.17/15.14 |
% 103.17/15.14 | REDUCE: (203), (268) imply:
% 103.17/15.14 | (357) u1_orders_2(all_39_7) = all_154_0
% 103.17/15.14 |
% 103.17/15.14 | REDUCE: (193), (288) imply:
% 103.17/15.14 | (358) u1_orders_2(all_39_7) = all_150_0
% 103.17/15.14 |
% 103.17/15.14 | BETA: splitting (104) gives:
% 103.17/15.14 |
% 103.17/15.14 | Case 1:
% 103.17/15.14 | |
% 103.17/15.14 | | (359) ~ (all_73_2 = 0)
% 103.17/15.14 | |
% 103.17/15.14 | | REDUCE: (332), (359) imply:
% 103.17/15.14 | | (360) $false
% 103.17/15.15 | |
% 103.17/15.15 | | CLOSE: (360) is inconsistent.
% 103.17/15.15 | |
% 103.17/15.15 | Case 2:
% 103.17/15.15 | |
% 103.17/15.15 | | (361) ~ (all_73_3 = 0) | (all_73_0 = 0 & all_73_1 = 0)
% 103.17/15.15 | |
% 103.17/15.15 | | BETA: splitting (118) gives:
% 103.17/15.15 | |
% 103.17/15.15 | | Case 1:
% 103.17/15.15 | | |
% 103.17/15.15 | | | (362) ~ (all_90_6 = 0) & l1_orders_2(all_39_10) = all_90_6
% 103.17/15.15 | | |
% 103.17/15.15 | | | ALPHA: (362) implies:
% 103.17/15.15 | | | (363) ~ (all_90_6 = 0)
% 103.17/15.15 | | | (364) l1_orders_2(all_39_10) = all_90_6
% 103.17/15.15 | | |
% 103.17/15.15 | | | BETA: splitting (124) gives:
% 103.17/15.15 | | |
% 103.17/15.15 | | | Case 1:
% 103.17/15.15 | | | |
% 103.17/15.15 | | | | (365) ~ (all_96_6 = 0) & l1_orders_2(all_39_10) = all_96_6
% 103.17/15.15 | | | |
% 103.17/15.15 | | | | ALPHA: (365) implies:
% 103.17/15.15 | | | | (366) l1_orders_2(all_39_10) = all_96_6
% 103.17/15.15 | | | |
% 103.17/15.15 | | | | REF_CLOSE: (15), (38), (363), (364), (366) are inconsistent by sub-proof
% 103.17/15.15 | | | | #8.
% 103.17/15.15 | | | |
% 103.17/15.15 | | | Case 2:
% 103.17/15.15 | | | |
% 103.17/15.15 | | | | (367) v12_waybel_0(all_96_5, all_39_10) = all_96_4 &
% 103.17/15.15 | | | | k1_latsum_1(all_39_10, all_39_10) = all_96_1 &
% 103.17/15.15 | | | | k3_xboole_0(all_39_9, all_39_9) = all_96_5 &
% 103.17/15.15 | | | | k1_zfmisc_1(all_39_9) = all_96_3 & m1_subset_1(all_96_5,
% 103.17/15.15 | | | | all_96_3) = all_96_2 & l1_orders_2(all_39_10) = all_96_6 &
% 103.17/15.15 | | | | u1_orders_2(all_96_1) = all_96_0 & $i(all_96_0) & $i(all_96_1)
% 103.17/15.15 | | | | & $i(all_96_3) & $i(all_96_5) & ( ~ (all_96_6 = 0) | ! [v0:
% 103.17/15.15 | | | | $i] : ! [v1: $i] : ! [v2: $i] : ( ~ (all_96_2 = 0) | ~
% 103.17/15.15 | | | | (all_96_4 = 0) | ~ (k4_tarski(v0, v1) = v2) | ~ $i(v1) |
% 103.17/15.15 | | | | ~ $i(v0) | ? [v3: any] : ? [v4: any] : ? [v5: any] :
% 103.17/15.15 | | | | (r2_hidden(v2, all_96_0) = v3 & r2_hidden(v1, all_39_9) =
% 103.17/15.15 | | | | v4 & r2_hidden(v0, all_39_9) = v5 & ( ~ (v4 = 0) | ~ (v3
% 103.17/15.15 | | | | = 0) | v5 = 0))))
% 103.17/15.15 | | | |
% 103.17/15.15 | | | | ALPHA: (367) implies:
% 103.17/15.15 | | | | (368) l1_orders_2(all_39_10) = all_96_6
% 103.17/15.15 | | | |
% 103.17/15.15 | | | | REF_CLOSE: (15), (38), (363), (364), (368) are inconsistent by sub-proof
% 103.17/15.15 | | | | #8.
% 103.17/15.15 | | | |
% 103.17/15.15 | | | End of split
% 103.17/15.15 | | |
% 103.17/15.15 | | Case 2:
% 103.17/15.15 | | |
% 103.17/15.15 | | | (369) v12_waybel_0(all_90_5, all_39_8) = all_90_4 &
% 103.17/15.15 | | | k1_latsum_1(all_39_10, all_39_8) = all_90_1 &
% 103.17/15.15 | | | k3_xboole_0(all_39_9, all_39_5) = all_90_5 &
% 103.17/15.15 | | | k1_zfmisc_1(all_39_5) = all_90_3 & m1_subset_1(all_90_5,
% 103.17/15.15 | | | all_90_3) = all_90_2 & l1_orders_2(all_39_8) = all_90_6 &
% 103.17/15.15 | | | u1_orders_2(all_90_1) = all_90_0 & $i(all_90_0) & $i(all_90_1) &
% 103.17/15.15 | | | $i(all_90_3) & $i(all_90_5) & ( ~ (all_90_6 = 0) | ! [v0: $i] :
% 103.17/15.15 | | | ! [v1: $i] : ! [v2: $i] : ( ~ (all_90_2 = 0) | ~ (all_90_4 =
% 103.17/15.15 | | | 0) | ~ (k4_tarski(v0, v1) = v2) | ~ $i(v1) | ~ $i(v0) |
% 103.17/15.15 | | | ? [v3: any] : ? [v4: any] : ? [v5: any] : (r2_hidden(v2,
% 103.17/15.15 | | | all_90_0) = v3 & r2_hidden(v1, all_39_9) = v4 &
% 103.17/15.15 | | | r2_hidden(v0, all_39_9) = v5 & ( ~ (v4 = 0) | ~ (v3 = 0) |
% 103.17/15.15 | | | v5 = 0))))
% 103.17/15.15 | | |
% 103.17/15.15 | | | ALPHA: (369) implies:
% 103.17/15.15 | | | (370) u1_orders_2(all_90_1) = all_90_0
% 103.17/15.15 | | | (371) l1_orders_2(all_39_8) = all_90_6
% 103.17/15.15 | | | (372) m1_subset_1(all_90_5, all_90_3) = all_90_2
% 103.17/15.15 | | | (373) k1_zfmisc_1(all_39_5) = all_90_3
% 103.17/15.15 | | | (374) k3_xboole_0(all_39_9, all_39_5) = all_90_5
% 103.17/15.15 | | | (375) k1_latsum_1(all_39_10, all_39_8) = all_90_1
% 103.17/15.15 | | | (376) v12_waybel_0(all_90_5, all_39_8) = all_90_4
% 103.17/15.15 | | |
% 103.17/15.15 | | | BETA: splitting (123) gives:
% 103.17/15.15 | | |
% 103.17/15.15 | | | Case 1:
% 103.17/15.15 | | | |
% 103.17/15.15 | | | | (377) ~ (all_95_6 = 0) & l1_orders_2(all_39_10) = all_95_6
% 103.17/15.15 | | | |
% 103.17/15.15 | | | | ALPHA: (377) implies:
% 103.17/15.15 | | | | (378) ~ (all_95_6 = 0)
% 103.17/15.15 | | | | (379) l1_orders_2(all_39_10) = all_95_6
% 103.17/15.15 | | | |
% 103.17/15.15 | | | | BETA: splitting (124) gives:
% 103.17/15.15 | | | |
% 103.17/15.15 | | | | Case 1:
% 103.17/15.15 | | | | |
% 103.17/15.15 | | | | | (380) ~ (all_96_6 = 0) & l1_orders_2(all_39_10) = all_96_6
% 103.17/15.15 | | | | |
% 103.17/15.15 | | | | | REF_CLOSE: (15), (38), (380) are inconsistent by sub-proof #7.
% 103.17/15.15 | | | | |
% 103.17/15.15 | | | | Case 2:
% 103.17/15.15 | | | | |
% 103.17/15.15 | | | | | (381) v12_waybel_0(all_96_5, all_39_10) = all_96_4 &
% 103.17/15.15 | | | | | k1_latsum_1(all_39_10, all_39_10) = all_96_1 &
% 103.17/15.15 | | | | | k3_xboole_0(all_39_9, all_39_9) = all_96_5 &
% 103.17/15.15 | | | | | k1_zfmisc_1(all_39_9) = all_96_3 & m1_subset_1(all_96_5,
% 103.17/15.15 | | | | | all_96_3) = all_96_2 & l1_orders_2(all_39_10) = all_96_6 &
% 103.17/15.15 | | | | | u1_orders_2(all_96_1) = all_96_0 & $i(all_96_0) &
% 103.17/15.15 | | | | | $i(all_96_1) & $i(all_96_3) & $i(all_96_5) & ( ~ (all_96_6 =
% 103.17/15.15 | | | | | 0) | ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~
% 103.17/15.15 | | | | | (all_96_2 = 0) | ~ (all_96_4 = 0) | ~ (k4_tarski(v0,
% 103.17/15.15 | | | | | v1) = v2) | ~ $i(v1) | ~ $i(v0) | ? [v3: any] : ?
% 103.17/15.15 | | | | | [v4: any] : ? [v5: any] : (r2_hidden(v2, all_96_0) = v3
% 103.17/15.15 | | | | | & r2_hidden(v1, all_39_9) = v4 & r2_hidden(v0,
% 103.17/15.15 | | | | | all_39_9) = v5 & ( ~ (v4 = 0) | ~ (v3 = 0) | v5 =
% 103.17/15.15 | | | | | 0))))
% 103.17/15.15 | | | | |
% 103.17/15.15 | | | | | ALPHA: (381) implies:
% 103.17/15.15 | | | | | (382) l1_orders_2(all_39_10) = all_96_6
% 103.17/15.15 | | | | |
% 103.17/15.15 | | | | | GROUND_INST: instantiating (15) with 0, all_96_6, all_39_10,
% 103.17/15.15 | | | | | simplifying with (38), (382) gives:
% 103.17/15.15 | | | | | (383) all_96_6 = 0
% 103.17/15.15 | | | | |
% 103.17/15.15 | | | | | GROUND_INST: instantiating (15) with all_95_6, all_96_6, all_39_10,
% 103.17/15.15 | | | | | simplifying with (379), (382) gives:
% 103.17/15.15 | | | | | (384) all_96_6 = all_95_6
% 103.17/15.15 | | | | |
% 103.17/15.15 | | | | | COMBINE_EQS: (383), (384) imply:
% 103.17/15.15 | | | | | (385) all_95_6 = 0
% 103.17/15.15 | | | | |
% 103.17/15.15 | | | | | REDUCE: (378), (385) imply:
% 103.17/15.15 | | | | | (386) $false
% 103.17/15.15 | | | | |
% 103.17/15.15 | | | | | CLOSE: (386) is inconsistent.
% 103.17/15.15 | | | | |
% 103.17/15.15 | | | | End of split
% 103.17/15.15 | | | |
% 103.17/15.15 | | | Case 2:
% 103.17/15.15 | | | |
% 103.17/15.15 | | | | (387) v12_waybel_0(all_95_4, all_39_8) = all_95_3 &
% 103.17/15.15 | | | | k3_xboole_0(all_39_9, all_95_5) = all_95_4 &
% 103.17/15.15 | | | | k1_zfmisc_1(all_95_5) = all_95_2 & m1_subset_1(all_95_4,
% 103.17/15.15 | | | | all_95_2) = all_95_1 & l1_orders_2(all_39_8) = all_95_6 &
% 103.17/15.15 | | | | u1_struct_0(all_39_8) = all_95_5 & u1_orders_2(all_39_7) =
% 103.17/15.15 | | | | all_95_0 & $i(all_95_0) & $i(all_95_2) & $i(all_95_4) &
% 103.17/15.15 | | | | $i(all_95_5) & ( ~ (all_95_6 = 0) | ! [v0: $i] : ! [v1: $i] :
% 103.17/15.15 | | | | ! [v2: $i] : ( ~ (all_95_1 = 0) | ~ (all_95_3 = 0) | ~
% 103.17/15.15 | | | | (k4_tarski(v0, v1) = v2) | ~ $i(v1) | ~ $i(v0) | ? [v3:
% 103.17/15.15 | | | | any] : ? [v4: any] : ? [v5: any] : (r2_hidden(v2,
% 103.17/15.15 | | | | all_95_0) = v3 & r2_hidden(v1, all_39_9) = v4 &
% 103.17/15.15 | | | | r2_hidden(v0, all_39_9) = v5 & ( ~ (v4 = 0) | ~ (v3 = 0)
% 103.17/15.15 | | | | | v5 = 0))))
% 103.17/15.15 | | | |
% 103.17/15.15 | | | | ALPHA: (387) implies:
% 103.17/15.15 | | | | (388) u1_orders_2(all_39_7) = all_95_0
% 103.17/15.15 | | | | (389) u1_struct_0(all_39_8) = all_95_5
% 103.17/15.15 | | | | (390) l1_orders_2(all_39_8) = all_95_6
% 103.17/15.15 | | | | (391) m1_subset_1(all_95_4, all_95_2) = all_95_1
% 103.17/15.15 | | | | (392) k1_zfmisc_1(all_95_5) = all_95_2
% 103.17/15.15 | | | | (393) k3_xboole_0(all_39_9, all_95_5) = all_95_4
% 103.17/15.15 | | | | (394) v12_waybel_0(all_95_4, all_39_8) = all_95_3
% 103.17/15.15 | | | |
% 103.17/15.15 | | | | BETA: splitting (122) gives:
% 103.17/15.15 | | | |
% 103.17/15.15 | | | | Case 1:
% 103.17/15.15 | | | | |
% 103.17/15.15 | | | | | (395) ~ (all_94_6 = 0) & l1_orders_2(all_39_8) = all_94_6
% 103.17/15.15 | | | | |
% 103.17/15.15 | | | | | ALPHA: (395) implies:
% 103.17/15.15 | | | | | (396) ~ (all_94_6 = 0)
% 103.17/15.15 | | | | | (397) l1_orders_2(all_39_8) = all_94_6
% 103.17/15.15 | | | | |
% 103.17/15.15 | | | | | BETA: splitting (361) gives:
% 103.17/15.15 | | | | |
% 103.17/15.15 | | | | | Case 1:
% 103.17/15.15 | | | | | |
% 103.17/15.15 | | | | | | (398) ~ (all_73_3 = 0)
% 103.17/15.15 | | | | | |
% 103.17/15.15 | | | | | | REDUCE: (335), (398) imply:
% 103.17/15.15 | | | | | | (399) $false
% 103.17/15.15 | | | | | |
% 103.17/15.15 | | | | | | CLOSE: (399) is inconsistent.
% 103.17/15.15 | | | | | |
% 103.17/15.15 | | | | | Case 2:
% 103.17/15.15 | | | | | |
% 103.17/15.15 | | | | | | (400) all_73_0 = 0 & all_73_1 = 0
% 103.17/15.15 | | | | | |
% 103.17/15.15 | | | | | | ALPHA: (400) implies:
% 103.17/15.15 | | | | | | (401) all_73_0 = 0
% 103.17/15.15 | | | | | |
% 103.17/15.15 | | | | | | COMBINE_EQS: (333), (401) imply:
% 103.17/15.15 | | | | | | (402) all_71_2 = 0
% 103.17/15.15 | | | | | |
% 103.17/15.15 | | | | | | SIMP: (402) implies:
% 103.17/15.15 | | | | | | (403) all_71_2 = 0
% 103.17/15.15 | | | | | |
% 103.17/15.15 | | | | | | REDUCE: (99), (403) imply:
% 103.17/15.15 | | | | | | (404) l1_orders_2(all_39_7) = 0
% 103.17/15.15 | | | | | |
% 103.17/15.15 | | | | | | BETA: splitting (119) gives:
% 103.17/15.15 | | | | | |
% 103.17/15.15 | | | | | | Case 1:
% 103.17/15.15 | | | | | | |
% 103.17/15.15 | | | | | | | (405) ~ (all_91_6 = 0) & l1_orders_2(all_39_8) = all_91_6
% 103.17/15.15 | | | | | | |
% 103.17/15.15 | | | | | | | ALPHA: (405) implies:
% 103.17/15.15 | | | | | | | (406) l1_orders_2(all_39_8) = all_91_6
% 103.17/15.15 | | | | | | |
% 103.17/15.15 | | | | | | | REF_CLOSE: (15), (39), (121), (128), (371), (390), (396), (397),
% 103.17/15.15 | | | | | | | (404), (406) are inconsistent by sub-proof #4.
% 103.17/15.15 | | | | | | |
% 103.17/15.15 | | | | | | Case 2:
% 103.17/15.15 | | | | | | |
% 103.17/15.15 | | | | | | | (407) v12_waybel_0(all_91_5, all_39_8) = all_91_4 &
% 103.17/15.15 | | | | | | | k1_latsum_1(all_39_8, all_39_8) = all_91_1 &
% 103.17/15.15 | | | | | | | k3_xboole_0(all_39_5, all_39_5) = all_91_5 &
% 103.17/15.15 | | | | | | | k1_zfmisc_1(all_39_5) = all_91_3 & m1_subset_1(all_91_5,
% 103.17/15.15 | | | | | | | all_91_3) = all_91_2 & l1_orders_2(all_39_8) = all_91_6
% 103.17/15.15 | | | | | | | & u1_orders_2(all_91_1) = all_91_0 & $i(all_91_0) &
% 103.17/15.15 | | | | | | | $i(all_91_1) & $i(all_91_3) & $i(all_91_5) & ( ~
% 103.17/15.15 | | | | | | | (all_91_6 = 0) | ! [v0: $i] : ! [v1: $i] : ! [v2:
% 103.17/15.15 | | | | | | | $i] : ( ~ (all_91_2 = 0) | ~ (all_91_4 = 0) | ~
% 103.17/15.15 | | | | | | | (k4_tarski(v0, v1) = v2) | ~ $i(v1) | ~ $i(v0) | ?
% 103.17/15.15 | | | | | | | [v3: any] : ? [v4: any] : ? [v5: any] :
% 103.17/15.15 | | | | | | | (r2_hidden(v2, all_91_0) = v3 & r2_hidden(v1,
% 103.17/15.15 | | | | | | | all_39_5) = v4 & r2_hidden(v0, all_39_5) = v5 & (
% 103.17/15.15 | | | | | | | ~ (v4 = 0) | ~ (v3 = 0) | v5 = 0))))
% 103.17/15.15 | | | | | | |
% 103.17/15.15 | | | | | | | ALPHA: (407) implies:
% 103.17/15.15 | | | | | | | (408) l1_orders_2(all_39_8) = all_91_6
% 103.17/15.15 | | | | | | |
% 103.17/15.15 | | | | | | | REF_CLOSE: (15), (39), (121), (128), (371), (390), (396), (397),
% 103.17/15.15 | | | | | | | (404), (408) are inconsistent by sub-proof #4.
% 103.17/15.15 | | | | | | |
% 103.17/15.15 | | | | | | End of split
% 103.17/15.15 | | | | | |
% 103.17/15.15 | | | | | End of split
% 103.17/15.15 | | | | |
% 103.17/15.15 | | | | Case 2:
% 103.17/15.15 | | | | |
% 103.17/15.16 | | | | | (409) v12_waybel_0(all_94_5, all_39_10) = all_94_4 &
% 103.17/15.16 | | | | | k1_latsum_1(all_39_8, all_39_10) = all_94_1 &
% 103.17/15.16 | | | | | k3_xboole_0(all_39_5, all_39_9) = all_94_5 &
% 103.17/15.16 | | | | | k1_zfmisc_1(all_39_9) = all_94_3 & m1_subset_1(all_94_5,
% 103.17/15.16 | | | | | all_94_3) = all_94_2 & l1_orders_2(all_39_10) = all_94_6 &
% 103.17/15.16 | | | | | u1_orders_2(all_94_1) = all_94_0 & $i(all_94_0) &
% 103.17/15.16 | | | | | $i(all_94_1) & $i(all_94_3) & $i(all_94_5) & ( ~ (all_94_6 =
% 103.17/15.16 | | | | | 0) | ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~
% 103.17/15.16 | | | | | (all_94_2 = 0) | ~ (all_94_4 = 0) | ~ (k4_tarski(v0,
% 103.17/15.16 | | | | | v1) = v2) | ~ $i(v1) | ~ $i(v0) | ? [v3: any] : ?
% 103.17/15.16 | | | | | [v4: any] : ? [v5: any] : (r2_hidden(v2, all_94_0) = v3
% 103.17/15.16 | | | | | & r2_hidden(v1, all_39_5) = v4 & r2_hidden(v0,
% 103.17/15.16 | | | | | all_39_5) = v5 & ( ~ (v4 = 0) | ~ (v3 = 0) | v5 =
% 103.17/15.16 | | | | | 0))))
% 103.17/15.16 | | | | |
% 103.17/15.16 | | | | | ALPHA: (409) implies:
% 103.17/15.16 | | | | | (410) l1_orders_2(all_39_10) = all_94_6
% 103.17/15.16 | | | | |
% 103.17/15.16 | | | | | BETA: splitting (124) gives:
% 103.17/15.16 | | | | |
% 103.17/15.16 | | | | | Case 1:
% 103.17/15.16 | | | | | |
% 103.17/15.16 | | | | | | (411) ~ (all_96_6 = 0) & l1_orders_2(all_39_10) = all_96_6
% 103.17/15.16 | | | | | |
% 103.17/15.16 | | | | | | REF_CLOSE: (15), (38), (411) are inconsistent by sub-proof #7.
% 103.17/15.16 | | | | | |
% 103.17/15.16 | | | | | Case 2:
% 103.17/15.16 | | | | | |
% 103.17/15.16 | | | | | | (412) v12_waybel_0(all_96_5, all_39_10) = all_96_4 &
% 103.17/15.16 | | | | | | k1_latsum_1(all_39_10, all_39_10) = all_96_1 &
% 103.17/15.16 | | | | | | k3_xboole_0(all_39_9, all_39_9) = all_96_5 &
% 103.17/15.16 | | | | | | k1_zfmisc_1(all_39_9) = all_96_3 & m1_subset_1(all_96_5,
% 103.17/15.16 | | | | | | all_96_3) = all_96_2 & l1_orders_2(all_39_10) = all_96_6
% 103.17/15.16 | | | | | | & u1_orders_2(all_96_1) = all_96_0 & $i(all_96_0) &
% 103.17/15.16 | | | | | | $i(all_96_1) & $i(all_96_3) & $i(all_96_5) & ( ~ (all_96_6
% 103.17/15.16 | | | | | | = 0) | ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~
% 103.17/15.16 | | | | | | (all_96_2 = 0) | ~ (all_96_4 = 0) | ~ (k4_tarski(v0,
% 103.17/15.16 | | | | | | v1) = v2) | ~ $i(v1) | ~ $i(v0) | ? [v3: any] :
% 103.17/15.16 | | | | | | ? [v4: any] : ? [v5: any] : (r2_hidden(v2, all_96_0) =
% 103.17/15.16 | | | | | | v3 & r2_hidden(v1, all_39_9) = v4 & r2_hidden(v0,
% 103.17/15.16 | | | | | | all_39_9) = v5 & ( ~ (v4 = 0) | ~ (v3 = 0) | v5 =
% 103.17/15.16 | | | | | | 0))))
% 103.17/15.16 | | | | | |
% 103.17/15.16 | | | | | | ALPHA: (412) implies:
% 103.17/15.16 | | | | | | (413) l1_orders_2(all_39_10) = all_96_6
% 103.17/15.16 | | | | | |
% 103.17/15.16 | | | | | | BETA: splitting (125) gives:
% 103.17/15.16 | | | | | |
% 103.17/15.16 | | | | | | Case 1:
% 103.17/15.16 | | | | | | |
% 103.17/15.16 | | | | | | | (414) ~ (all_97_6 = 0) & l1_orders_2(all_39_8) = all_97_6
% 103.17/15.16 | | | | | | |
% 103.17/15.16 | | | | | | | ALPHA: (414) implies:
% 103.17/15.16 | | | | | | | (415) ~ (all_97_6 = 0)
% 103.17/15.16 | | | | | | | (416) l1_orders_2(all_39_8) = all_97_6
% 103.17/15.16 | | | | | | |
% 103.17/15.16 | | | | | | | BETA: splitting (119) gives:
% 103.17/15.16 | | | | | | |
% 103.17/15.16 | | | | | | | Case 1:
% 103.17/15.16 | | | | | | | |
% 103.17/15.16 | | | | | | | | (417) ~ (all_91_6 = 0) & l1_orders_2(all_39_8) = all_91_6
% 103.17/15.16 | | | | | | | |
% 103.17/15.16 | | | | | | | | ALPHA: (417) implies:
% 103.17/15.16 | | | | | | | | (418) ~ (all_91_6 = 0)
% 103.17/15.16 | | | | | | | | (419) l1_orders_2(all_39_8) = all_91_6
% 103.17/15.16 | | | | | | | |
% 103.17/15.16 | | | | | | | | BETA: splitting (361) gives:
% 103.17/15.16 | | | | | | | |
% 103.17/15.16 | | | | | | | | Case 1:
% 103.17/15.16 | | | | | | | | |
% 103.17/15.16 | | | | | | | | | (420) ~ (all_73_3 = 0)
% 103.17/15.16 | | | | | | | | |
% 103.17/15.16 | | | | | | | | | REDUCE: (335), (420) imply:
% 103.17/15.16 | | | | | | | | | (421) $false
% 103.17/15.16 | | | | | | | | |
% 103.17/15.16 | | | | | | | | | CLOSE: (421) is inconsistent.
% 103.17/15.16 | | | | | | | | |
% 103.17/15.16 | | | | | | | | Case 2:
% 103.17/15.16 | | | | | | | | |
% 103.17/15.16 | | | | | | | | | (422) all_73_0 = 0 & all_73_1 = 0
% 103.17/15.16 | | | | | | | | |
% 103.17/15.16 | | | | | | | | | ALPHA: (422) implies:
% 103.17/15.16 | | | | | | | | | (423) all_73_0 = 0
% 103.17/15.16 | | | | | | | | |
% 103.17/15.16 | | | | | | | | | COMBINE_EQS: (333), (423) imply:
% 103.17/15.16 | | | | | | | | | (424) all_71_2 = 0
% 103.17/15.16 | | | | | | | | |
% 103.17/15.16 | | | | | | | | | SIMP: (424) implies:
% 103.17/15.16 | | | | | | | | | (425) all_71_2 = 0
% 103.17/15.16 | | | | | | | | |
% 103.17/15.16 | | | | | | | | | REDUCE: (99), (425) imply:
% 103.17/15.16 | | | | | | | | | (426) l1_orders_2(all_39_7) = 0
% 103.17/15.16 | | | | | | | | |
% 103.17/15.16 | | | | | | | | | BETA: splitting (121) gives:
% 103.17/15.16 | | | | | | | | |
% 103.17/15.16 | | | | | | | | | Case 1:
% 103.17/15.16 | | | | | | | | | |
% 103.17/15.16 | | | | | | | | | | (427) ~ (all_93_6 = 0) & l1_orders_2(all_39_7) =
% 103.17/15.16 | | | | | | | | | | all_93_6
% 103.17/15.16 | | | | | | | | | |
% 103.17/15.16 | | | | | | | | | | REF_CLOSE: (15), (128), (426), (427) are inconsistent by
% 103.17/15.16 | | | | | | | | | | sub-proof #3.
% 103.17/15.16 | | | | | | | | | |
% 103.17/15.16 | | | | | | | | | Case 2:
% 103.17/15.16 | | | | | | | | | |
% 103.17/15.16 | | | | | | | | | | (428) v12_waybel_0(all_93_5, all_39_8) = all_93_4 &
% 103.17/15.16 | | | | | | | | | | k1_latsum_1(all_39_7, all_39_8) = all_93_1 &
% 103.17/15.16 | | | | | | | | | | k3_xboole_0(all_39_6, all_39_5) = all_93_5 &
% 103.17/15.16 | | | | | | | | | | k1_zfmisc_1(all_39_5) = all_93_3 &
% 103.17/15.16 | | | | | | | | | | m1_subset_1(all_93_5, all_93_3) = all_93_2 &
% 103.17/15.16 | | | | | | | | | | l1_orders_2(all_39_8) = all_93_6 &
% 103.17/15.16 | | | | | | | | | | u1_orders_2(all_93_1) = all_93_0 & $i(all_93_0) &
% 103.17/15.16 | | | | | | | | | | $i(all_93_1) & $i(all_93_3) & $i(all_93_5) & ( ~
% 103.17/15.16 | | | | | | | | | | (all_93_6 = 0) | ! [v0: $i] : ! [v1: $i] : !
% 103.17/15.16 | | | | | | | | | | [v2: $i] : ( ~ (all_93_2 = 0) | ~ (all_93_4 = 0)
% 103.17/15.16 | | | | | | | | | | | ~ (k4_tarski(v0, v1) = v2) | ~ $i(v1) | ~
% 103.17/15.16 | | | | | | | | | | $i(v0) | ? [v3: any] : ? [v4: any] : ? [v5:
% 103.17/15.16 | | | | | | | | | | any] : (r2_hidden(v2, all_93_0) = v3 &
% 103.17/15.16 | | | | | | | | | | r2_hidden(v1, all_39_6) = v4 & r2_hidden(v0,
% 103.17/15.16 | | | | | | | | | | all_39_6) = v5 & ( ~ (v4 = 0) | ~ (v3 = 0)
% 103.17/15.16 | | | | | | | | | | | v5 = 0))))
% 103.17/15.16 | | | | | | | | | |
% 103.17/15.16 | | | | | | | | | | ALPHA: (428) implies:
% 103.17/15.16 | | | | | | | | | | (429) l1_orders_2(all_39_8) = all_93_6
% 103.17/15.16 | | | | | | | | | |
% 103.17/15.16 | | | | | | | | | | GROUND_INST: instantiating (15) with all_90_6, all_93_6,
% 103.17/15.16 | | | | | | | | | | all_39_8, simplifying with (371), (429) gives:
% 103.17/15.16 | | | | | | | | | | (430) all_93_6 = all_90_6
% 103.17/15.16 | | | | | | | | | |
% 103.17/15.16 | | | | | | | | | | GROUND_INST: instantiating (15) with 0, all_95_6, all_39_8,
% 103.17/15.16 | | | | | | | | | | simplifying with (39), (390) gives:
% 103.17/15.16 | | | | | | | | | | (431) all_95_6 = 0
% 103.17/15.16 | | | | | | | | | |
% 103.17/15.16 | | | | | | | | | | GROUND_INST: instantiating (15) with all_95_6, all_97_6,
% 103.17/15.16 | | | | | | | | | | all_39_8, simplifying with (390), (416) gives:
% 103.17/15.16 | | | | | | | | | | (432) all_97_6 = all_95_6
% 103.17/15.16 | | | | | | | | | |
% 103.17/15.16 | | | | | | | | | | GROUND_INST: instantiating (15) with all_93_6, all_97_6,
% 103.17/15.16 | | | | | | | | | | all_39_8, simplifying with (416), (429) gives:
% 103.17/15.16 | | | | | | | | | | (433) all_97_6 = all_93_6
% 103.17/15.16 | | | | | | | | | |
% 103.17/15.16 | | | | | | | | | | GROUND_INST: instantiating (15) with all_91_6, all_97_6,
% 103.17/15.16 | | | | | | | | | | all_39_8, simplifying with (416), (419) gives:
% 103.17/15.16 | | | | | | | | | | (434) all_97_6 = all_91_6
% 103.17/15.16 | | | | | | | | | |
% 103.17/15.16 | | | | | | | | | | COMBINE_EQS: (433), (434) imply:
% 103.17/15.16 | | | | | | | | | | (435) all_93_6 = all_91_6
% 103.17/15.16 | | | | | | | | | |
% 103.17/15.16 | | | | | | | | | | SIMP: (435) implies:
% 103.17/15.16 | | | | | | | | | | (436) all_93_6 = all_91_6
% 103.17/15.16 | | | | | | | | | |
% 103.17/15.16 | | | | | | | | | | COMBINE_EQS: (432), (434) imply:
% 103.17/15.16 | | | | | | | | | | (437) all_95_6 = all_91_6
% 103.17/15.16 | | | | | | | | | |
% 103.17/15.16 | | | | | | | | | | SIMP: (437) implies:
% 103.17/15.16 | | | | | | | | | | (438) all_95_6 = all_91_6
% 103.17/15.16 | | | | | | | | | |
% 103.17/15.16 | | | | | | | | | | COMBINE_EQS: (431), (438) imply:
% 103.17/15.16 | | | | | | | | | | (439) all_91_6 = 0
% 103.17/15.16 | | | | | | | | | |
% 103.17/15.16 | | | | | | | | | | SIMP: (439) implies:
% 103.17/15.16 | | | | | | | | | | (440) all_91_6 = 0
% 103.17/15.16 | | | | | | | | | |
% 103.17/15.16 | | | | | | | | | | COMBINE_EQS: (430), (436) imply:
% 103.17/15.16 | | | | | | | | | | (441) all_91_6 = all_90_6
% 103.17/15.16 | | | | | | | | | |
% 103.17/15.16 | | | | | | | | | | SIMP: (441) implies:
% 103.17/15.16 | | | | | | | | | | (442) all_91_6 = all_90_6
% 103.17/15.16 | | | | | | | | | |
% 103.17/15.16 | | | | | | | | | | COMBINE_EQS: (440), (442) imply:
% 103.17/15.16 | | | | | | | | | | (443) all_90_6 = 0
% 103.17/15.16 | | | | | | | | | |
% 103.17/15.16 | | | | | | | | | | REDUCE: (418), (440) imply:
% 103.17/15.16 | | | | | | | | | | (444) $false
% 103.17/15.16 | | | | | | | | | |
% 103.17/15.16 | | | | | | | | | | CLOSE: (444) is inconsistent.
% 103.17/15.16 | | | | | | | | | |
% 103.17/15.16 | | | | | | | | | End of split
% 103.17/15.16 | | | | | | | | |
% 103.17/15.16 | | | | | | | | End of split
% 103.17/15.16 | | | | | | | |
% 103.17/15.16 | | | | | | | Case 2:
% 103.17/15.16 | | | | | | | |
% 103.17/15.16 | | | | | | | | (445) v12_waybel_0(all_91_5, all_39_8) = all_91_4 &
% 103.17/15.16 | | | | | | | | k1_latsum_1(all_39_8, all_39_8) = all_91_1 &
% 103.17/15.16 | | | | | | | | k3_xboole_0(all_39_5, all_39_5) = all_91_5 &
% 103.17/15.16 | | | | | | | | k1_zfmisc_1(all_39_5) = all_91_3 &
% 103.17/15.16 | | | | | | | | m1_subset_1(all_91_5, all_91_3) = all_91_2 &
% 103.17/15.16 | | | | | | | | l1_orders_2(all_39_8) = all_91_6 &
% 103.17/15.16 | | | | | | | | u1_orders_2(all_91_1) = all_91_0 & $i(all_91_0) &
% 103.17/15.16 | | | | | | | | $i(all_91_1) & $i(all_91_3) & $i(all_91_5) & ( ~
% 103.17/15.16 | | | | | | | | (all_91_6 = 0) | ! [v0: $i] : ! [v1: $i] : ! [v2:
% 103.17/15.16 | | | | | | | | $i] : ( ~ (all_91_2 = 0) | ~ (all_91_4 = 0) | ~
% 103.17/15.16 | | | | | | | | (k4_tarski(v0, v1) = v2) | ~ $i(v1) | ~ $i(v0) |
% 103.17/15.16 | | | | | | | | ? [v3: any] : ? [v4: any] : ? [v5: any] :
% 103.17/15.16 | | | | | | | | (r2_hidden(v2, all_91_0) = v3 & r2_hidden(v1,
% 103.17/15.16 | | | | | | | | all_39_5) = v4 & r2_hidden(v0, all_39_5) = v5 &
% 103.17/15.16 | | | | | | | | ( ~ (v4 = 0) | ~ (v3 = 0) | v5 = 0))))
% 103.17/15.16 | | | | | | | |
% 103.17/15.16 | | | | | | | | ALPHA: (445) implies:
% 103.17/15.16 | | | | | | | | (446) l1_orders_2(all_39_8) = all_91_6
% 103.17/15.16 | | | | | | | |
% 103.17/15.16 | | | | | | | | BETA: splitting (361) gives:
% 103.17/15.16 | | | | | | | |
% 103.17/15.16 | | | | | | | | Case 1:
% 103.17/15.16 | | | | | | | | |
% 103.17/15.16 | | | | | | | | | (447) ~ (all_73_3 = 0)
% 103.17/15.16 | | | | | | | | |
% 103.17/15.16 | | | | | | | | | REDUCE: (335), (447) imply:
% 103.17/15.16 | | | | | | | | | (448) $false
% 103.17/15.16 | | | | | | | | |
% 103.17/15.16 | | | | | | | | | CLOSE: (448) is inconsistent.
% 103.17/15.16 | | | | | | | | |
% 103.17/15.16 | | | | | | | | Case 2:
% 103.17/15.16 | | | | | | | | |
% 103.17/15.16 | | | | | | | | | (449) all_73_0 = 0 & all_73_1 = 0
% 103.17/15.16 | | | | | | | | |
% 103.17/15.16 | | | | | | | | | ALPHA: (449) implies:
% 103.17/15.16 | | | | | | | | | (450) all_73_0 = 0
% 103.17/15.16 | | | | | | | | |
% 103.17/15.16 | | | | | | | | | COMBINE_EQS: (333), (450) imply:
% 103.17/15.16 | | | | | | | | | (451) all_71_2 = 0
% 103.17/15.16 | | | | | | | | |
% 103.17/15.16 | | | | | | | | | SIMP: (451) implies:
% 103.17/15.16 | | | | | | | | | (452) all_71_2 = 0
% 103.17/15.16 | | | | | | | | |
% 103.17/15.16 | | | | | | | | | REDUCE: (99), (452) imply:
% 103.17/15.16 | | | | | | | | | (453) l1_orders_2(all_39_7) = 0
% 103.17/15.16 | | | | | | | | |
% 103.17/15.16 | | | | | | | | | BETA: splitting (121) gives:
% 103.17/15.16 | | | | | | | | |
% 103.17/15.16 | | | | | | | | | Case 1:
% 103.17/15.16 | | | | | | | | | |
% 103.17/15.16 | | | | | | | | | | (454) ~ (all_93_6 = 0) & l1_orders_2(all_39_7) =
% 103.17/15.16 | | | | | | | | | | all_93_6
% 103.17/15.16 | | | | | | | | | |
% 103.17/15.16 | | | | | | | | | | REF_CLOSE: (15), (128), (453), (454) are inconsistent by
% 103.17/15.16 | | | | | | | | | | sub-proof #3.
% 103.17/15.16 | | | | | | | | | |
% 103.17/15.16 | | | | | | | | | Case 2:
% 103.17/15.16 | | | | | | | | | |
% 103.17/15.16 | | | | | | | | | | (455) v12_waybel_0(all_93_5, all_39_8) = all_93_4 &
% 103.17/15.16 | | | | | | | | | | k1_latsum_1(all_39_7, all_39_8) = all_93_1 &
% 103.17/15.16 | | | | | | | | | | k3_xboole_0(all_39_6, all_39_5) = all_93_5 &
% 103.17/15.16 | | | | | | | | | | k1_zfmisc_1(all_39_5) = all_93_3 &
% 103.17/15.16 | | | | | | | | | | m1_subset_1(all_93_5, all_93_3) = all_93_2 &
% 103.17/15.16 | | | | | | | | | | l1_orders_2(all_39_8) = all_93_6 &
% 103.17/15.16 | | | | | | | | | | u1_orders_2(all_93_1) = all_93_0 & $i(all_93_0) &
% 103.17/15.16 | | | | | | | | | | $i(all_93_1) & $i(all_93_3) & $i(all_93_5) & ( ~
% 103.17/15.16 | | | | | | | | | | (all_93_6 = 0) | ! [v0: $i] : ! [v1: $i] : !
% 103.17/15.16 | | | | | | | | | | [v2: $i] : ( ~ (all_93_2 = 0) | ~ (all_93_4 = 0)
% 103.17/15.16 | | | | | | | | | | | ~ (k4_tarski(v0, v1) = v2) | ~ $i(v1) | ~
% 103.17/15.16 | | | | | | | | | | $i(v0) | ? [v3: any] : ? [v4: any] : ? [v5:
% 103.17/15.16 | | | | | | | | | | any] : (r2_hidden(v2, all_93_0) = v3 &
% 103.17/15.16 | | | | | | | | | | r2_hidden(v1, all_39_6) = v4 & r2_hidden(v0,
% 103.17/15.16 | | | | | | | | | | all_39_6) = v5 & ( ~ (v4 = 0) | ~ (v3 = 0)
% 103.17/15.16 | | | | | | | | | | | v5 = 0))))
% 103.17/15.16 | | | | | | | | | |
% 103.17/15.16 | | | | | | | | | | ALPHA: (455) implies:
% 103.17/15.16 | | | | | | | | | | (456) l1_orders_2(all_39_8) = all_93_6
% 103.17/15.16 | | | | | | | | | |
% 103.17/15.16 | | | | | | | | | | GROUND_INST: instantiating (15) with 0, all_93_6, all_39_8,
% 103.17/15.16 | | | | | | | | | | simplifying with (39), (456) gives:
% 103.17/15.16 | | | | | | | | | | (457) all_93_6 = 0
% 103.17/15.16 | | | | | | | | | |
% 103.17/15.16 | | | | | | | | | | GROUND_INST: instantiating (15) with all_91_6, all_93_6,
% 103.17/15.16 | | | | | | | | | | all_39_8, simplifying with (446), (456) gives:
% 103.17/15.16 | | | | | | | | | | (458) all_93_6 = all_91_6
% 103.17/15.16 | | | | | | | | | |
% 103.17/15.16 | | | | | | | | | | GROUND_INST: instantiating (15) with all_95_6, all_97_6,
% 103.17/15.16 | | | | | | | | | | all_39_8, simplifying with (390), (416) gives:
% 103.17/15.16 | | | | | | | | | | (459) all_97_6 = all_95_6
% 103.17/15.16 | | | | | | | | | |
% 103.17/15.16 | | | | | | | | | | GROUND_INST: instantiating (15) with all_91_6, all_97_6,
% 103.17/15.16 | | | | | | | | | | all_39_8, simplifying with (416), (446) gives:
% 103.17/15.16 | | | | | | | | | | (460) all_97_6 = all_91_6
% 103.17/15.16 | | | | | | | | | |
% 103.17/15.16 | | | | | | | | | | GROUND_INST: instantiating (15) with all_90_6, all_97_6,
% 103.17/15.16 | | | | | | | | | | all_39_8, simplifying with (371), (416) gives:
% 103.17/15.16 | | | | | | | | | | (461) all_97_6 = all_90_6
% 103.17/15.16 | | | | | | | | | |
% 103.17/15.16 | | | | | | | | | | COMBINE_EQS: (459), (461) imply:
% 103.17/15.16 | | | | | | | | | | (462) all_95_6 = all_90_6
% 103.17/15.16 | | | | | | | | | |
% 103.17/15.16 | | | | | | | | | | COMBINE_EQS: (459), (460) imply:
% 103.17/15.16 | | | | | | | | | | (463) all_95_6 = all_91_6
% 103.17/15.16 | | | | | | | | | |
% 103.17/15.16 | | | | | | | | | | COMBINE_EQS: (462), (463) imply:
% 103.17/15.16 | | | | | | | | | | (464) all_91_6 = all_90_6
% 103.17/15.16 | | | | | | | | | |
% 103.17/15.16 | | | | | | | | | | SIMP: (464) implies:
% 103.17/15.16 | | | | | | | | | | (465) all_91_6 = all_90_6
% 103.17/15.16 | | | | | | | | | |
% 103.17/15.16 | | | | | | | | | | COMBINE_EQS: (457), (458) imply:
% 103.17/15.16 | | | | | | | | | | (466) all_91_6 = 0
% 103.17/15.16 | | | | | | | | | |
% 103.17/15.16 | | | | | | | | | | SIMP: (466) implies:
% 103.17/15.16 | | | | | | | | | | (467) all_91_6 = 0
% 103.17/15.16 | | | | | | | | | |
% 103.17/15.16 | | | | | | | | | | COMBINE_EQS: (465), (467) imply:
% 103.17/15.16 | | | | | | | | | | (468) all_90_6 = 0
% 103.17/15.16 | | | | | | | | | |
% 103.17/15.16 | | | | | | | | | | SIMP: (468) implies:
% 103.17/15.16 | | | | | | | | | | (469) all_90_6 = 0
% 103.17/15.16 | | | | | | | | | |
% 103.17/15.16 | | | | | | | | | | COMBINE_EQS: (462), (469) imply:
% 103.17/15.16 | | | | | | | | | | (470) all_95_6 = 0
% 103.17/15.16 | | | | | | | | | |
% 103.17/15.16 | | | | | | | | | | COMBINE_EQS: (459), (470) imply:
% 103.17/15.16 | | | | | | | | | | (471) all_97_6 = 0
% 103.17/15.16 | | | | | | | | | |
% 103.17/15.16 | | | | | | | | | | REDUCE: (415), (471) imply:
% 103.17/15.16 | | | | | | | | | | (472) $false
% 103.17/15.16 | | | | | | | | | |
% 103.17/15.16 | | | | | | | | | | CLOSE: (472) is inconsistent.
% 103.17/15.16 | | | | | | | | | |
% 103.17/15.16 | | | | | | | | | End of split
% 103.17/15.16 | | | | | | | | |
% 103.17/15.16 | | | | | | | | End of split
% 103.17/15.16 | | | | | | | |
% 103.17/15.16 | | | | | | | End of split
% 103.17/15.16 | | | | | | |
% 103.17/15.16 | | | | | | Case 2:
% 103.17/15.16 | | | | | | |
% 103.17/15.16 | | | | | | | (473) v12_waybel_0(all_97_5, all_39_8) = all_97_4 &
% 103.17/15.16 | | | | | | | k1_latsum_1(all_39_8, all_39_8) = all_97_1 &
% 103.17/15.16 | | | | | | | k3_xboole_0(all_39_5, all_97_6) = all_97_5 &
% 103.17/15.16 | | | | | | | k1_zfmisc_1(all_97_6) = all_97_3 & m1_subset_1(all_97_5,
% 103.17/15.16 | | | | | | | all_97_3) = all_97_2 & u1_struct_0(all_39_8) = all_97_6
% 103.17/15.16 | | | | | | | & u1_orders_2(all_97_1) = all_97_0 & $i(all_97_0) &
% 103.17/15.16 | | | | | | | $i(all_97_1) & $i(all_97_3) & $i(all_97_5) & $i(all_97_6)
% 103.17/15.16 | | | | | | | & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ (all_97_2
% 103.17/15.16 | | | | | | | = 0) | ~ (all_97_4 = 0) | ~ (k4_tarski(v0, v1) =
% 103.17/15.16 | | | | | | | v2) | ~ $i(v1) | ~ $i(v0) | ? [v3: any] : ? [v4:
% 103.17/15.16 | | | | | | | any] : ? [v5: any] : (r2_hidden(v2, all_97_0) = v3 &
% 103.17/15.16 | | | | | | | r2_hidden(v1, all_39_5) = v4 & r2_hidden(v0,
% 103.17/15.16 | | | | | | | all_39_5) = v5 & ( ~ (v4 = 0) | ~ (v3 = 0) | v5 =
% 103.17/15.16 | | | | | | | 0)))
% 103.17/15.16 | | | | | | |
% 103.17/15.16 | | | | | | | ALPHA: (473) implies:
% 103.17/15.17 | | | | | | | (474) u1_struct_0(all_39_8) = all_97_6
% 103.17/15.17 | | | | | | | (475) k1_zfmisc_1(all_97_6) = all_97_3
% 103.17/15.17 | | | | | | |
% 103.17/15.17 | | | | | | | BETA: splitting (119) gives:
% 103.17/15.17 | | | | | | |
% 103.17/15.17 | | | | | | | Case 1:
% 103.17/15.17 | | | | | | | |
% 103.17/15.17 | | | | | | | | (476) ~ (all_91_6 = 0) & l1_orders_2(all_39_8) = all_91_6
% 103.17/15.17 | | | | | | | |
% 103.17/15.17 | | | | | | | | ALPHA: (476) implies:
% 103.17/15.17 | | | | | | | | (477) ~ (all_91_6 = 0)
% 103.17/15.17 | | | | | | | | (478) l1_orders_2(all_39_8) = all_91_6
% 103.17/15.17 | | | | | | | |
% 103.17/15.17 | | | | | | | | GROUND_INST: instantiating (15) with 0, all_91_6, all_39_8,
% 103.17/15.17 | | | | | | | | simplifying with (39), (478) gives:
% 103.17/15.17 | | | | | | | | (479) all_91_6 = 0
% 103.17/15.17 | | | | | | | |
% 103.17/15.17 | | | | | | | | REDUCE: (477), (479) imply:
% 103.17/15.17 | | | | | | | | (480) $false
% 103.17/15.17 | | | | | | | |
% 103.17/15.17 | | | | | | | | CLOSE: (480) is inconsistent.
% 103.17/15.17 | | | | | | | |
% 103.17/15.17 | | | | | | | Case 2:
% 103.17/15.17 | | | | | | | |
% 103.17/15.17 | | | | | | | | (481) v12_waybel_0(all_91_5, all_39_8) = all_91_4 &
% 103.17/15.17 | | | | | | | | k1_latsum_1(all_39_8, all_39_8) = all_91_1 &
% 103.17/15.17 | | | | | | | | k3_xboole_0(all_39_5, all_39_5) = all_91_5 &
% 103.17/15.17 | | | | | | | | k1_zfmisc_1(all_39_5) = all_91_3 &
% 103.17/15.17 | | | | | | | | m1_subset_1(all_91_5, all_91_3) = all_91_2 &
% 103.17/15.17 | | | | | | | | l1_orders_2(all_39_8) = all_91_6 &
% 103.17/15.17 | | | | | | | | u1_orders_2(all_91_1) = all_91_0 & $i(all_91_0) &
% 103.17/15.17 | | | | | | | | $i(all_91_1) & $i(all_91_3) & $i(all_91_5) & ( ~
% 103.17/15.17 | | | | | | | | (all_91_6 = 0) | ! [v0: $i] : ! [v1: $i] : ! [v2:
% 103.17/15.17 | | | | | | | | $i] : ( ~ (all_91_2 = 0) | ~ (all_91_4 = 0) | ~
% 103.17/15.17 | | | | | | | | (k4_tarski(v0, v1) = v2) | ~ $i(v1) | ~ $i(v0) |
% 103.17/15.17 | | | | | | | | ? [v3: any] : ? [v4: any] : ? [v5: any] :
% 103.17/15.17 | | | | | | | | (r2_hidden(v2, all_91_0) = v3 & r2_hidden(v1,
% 103.17/15.17 | | | | | | | | all_39_5) = v4 & r2_hidden(v0, all_39_5) = v5 &
% 103.17/15.17 | | | | | | | | ( ~ (v4 = 0) | ~ (v3 = 0) | v5 = 0))))
% 103.17/15.17 | | | | | | | |
% 103.17/15.17 | | | | | | | | ALPHA: (481) implies:
% 103.17/15.17 | | | | | | | | (482) l1_orders_2(all_39_8) = all_91_6
% 103.17/15.17 | | | | | | | | (483) k1_zfmisc_1(all_39_5) = all_91_3
% 103.17/15.17 | | | | | | | |
% 103.17/15.17 | | | | | | | | BETA: splitting (116) gives:
% 103.17/15.17 | | | | | | | |
% 103.17/15.17 | | | | | | | | Case 1:
% 103.17/15.17 | | | | | | | | |
% 103.17/15.17 | | | | | | | | | (484) ~ (all_87_6 = 0) & l1_orders_2(all_39_8) = all_87_6
% 103.17/15.17 | | | | | | | | |
% 103.17/15.17 | | | | | | | | | ALPHA: (484) implies:
% 103.17/15.17 | | | | | | | | | (485) ~ (all_87_6 = 0)
% 103.17/15.17 | | | | | | | | | (486) l1_orders_2(all_39_8) = all_87_6
% 103.17/15.17 | | | | | | | | |
% 103.17/15.17 | | | | | | | | | GROUND_INST: instantiating (15) with 0, all_91_6, all_39_8,
% 103.17/15.17 | | | | | | | | | simplifying with (39), (482) gives:
% 103.17/15.17 | | | | | | | | | (487) all_91_6 = 0
% 103.17/15.17 | | | | | | | | |
% 103.17/15.17 | | | | | | | | | GROUND_INST: instantiating (15) with all_87_6, all_91_6,
% 103.17/15.17 | | | | | | | | | all_39_8, simplifying with (482), (486) gives:
% 103.17/15.17 | | | | | | | | | (488) all_91_6 = all_87_6
% 103.17/15.17 | | | | | | | | |
% 103.17/15.17 | | | | | | | | | COMBINE_EQS: (487), (488) imply:
% 103.17/15.17 | | | | | | | | | (489) all_87_6 = 0
% 103.17/15.17 | | | | | | | | |
% 103.17/15.17 | | | | | | | | | REDUCE: (485), (489) imply:
% 103.17/15.17 | | | | | | | | | (490) $false
% 103.17/15.17 | | | | | | | | |
% 103.17/15.17 | | | | | | | | | CLOSE: (490) is inconsistent.
% 103.17/15.17 | | | | | | | | |
% 103.17/15.17 | | | | | | | | Case 2:
% 103.17/15.17 | | | | | | | | |
% 103.17/15.17 | | | | | | | | | (491) v12_waybel_0(all_87_5, all_39_10) = all_87_4 &
% 103.17/15.17 | | | | | | | | | k1_latsum_1(all_39_8, all_39_10) = all_87_1 &
% 103.17/15.17 | | | | | | | | | k3_xboole_0(all_39_5, all_87_6) = all_87_5 &
% 103.17/15.17 | | | | | | | | | k1_zfmisc_1(all_87_6) = all_87_3 &
% 103.17/15.17 | | | | | | | | | m1_subset_1(all_87_5, all_87_3) = all_87_2 &
% 103.17/15.17 | | | | | | | | | u1_struct_0(all_39_10) = all_87_6 &
% 103.17/15.17 | | | | | | | | | u1_orders_2(all_87_1) = all_87_0 & $i(all_87_0) &
% 103.17/15.17 | | | | | | | | | $i(all_87_1) & $i(all_87_3) & $i(all_87_5) &
% 103.17/15.17 | | | | | | | | | $i(all_87_6) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 103.17/15.17 | | | | | | | | | $i] : ( ~ (all_87_2 = 0) | ~ (all_87_4 = 0) | ~
% 103.17/15.17 | | | | | | | | | (k4_tarski(v0, v1) = v2) | ~ $i(v1) | ~ $i(v0) |
% 103.17/15.17 | | | | | | | | | ? [v3: any] : ? [v4: any] : ? [v5: any] :
% 103.17/15.17 | | | | | | | | | (r2_hidden(v2, all_87_0) = v3 & r2_hidden(v1,
% 103.17/15.17 | | | | | | | | | all_39_5) = v4 & r2_hidden(v0, all_39_5) = v5 &
% 103.17/15.17 | | | | | | | | | ( ~ (v4 = 0) | ~ (v3 = 0) | v5 = 0)))
% 103.17/15.17 | | | | | | | | |
% 103.17/15.17 | | | | | | | | | ALPHA: (491) implies:
% 103.17/15.17 | | | | | | | | | (492) $i(all_87_6)
% 103.17/15.17 | | | | | | | | | (493) u1_struct_0(all_39_10) = all_87_6
% 103.17/15.17 | | | | | | | | |
% 103.17/15.17 | | | | | | | | | BETA: splitting (361) gives:
% 103.17/15.17 | | | | | | | | |
% 103.17/15.17 | | | | | | | | | Case 1:
% 103.17/15.17 | | | | | | | | | |
% 103.17/15.17 | | | | | | | | | | (494) ~ (all_73_3 = 0)
% 103.17/15.17 | | | | | | | | | |
% 103.17/15.17 | | | | | | | | | | REDUCE: (335), (494) imply:
% 103.17/15.17 | | | | | | | | | | (495) $false
% 103.17/15.17 | | | | | | | | | |
% 103.17/15.17 | | | | | | | | | | CLOSE: (495) is inconsistent.
% 103.17/15.17 | | | | | | | | | |
% 103.17/15.17 | | | | | | | | | Case 2:
% 103.17/15.17 | | | | | | | | | |
% 103.17/15.17 | | | | | | | | | | (496) all_73_0 = 0 & all_73_1 = 0
% 103.17/15.17 | | | | | | | | | |
% 103.17/15.17 | | | | | | | | | | ALPHA: (496) implies:
% 103.17/15.17 | | | | | | | | | | (497) all_73_0 = 0
% 103.17/15.17 | | | | | | | | | |
% 103.17/15.17 | | | | | | | | | | COMBINE_EQS: (333), (497) imply:
% 103.17/15.17 | | | | | | | | | | (498) all_71_2 = 0
% 103.17/15.17 | | | | | | | | | |
% 103.17/15.17 | | | | | | | | | | SIMP: (498) implies:
% 103.17/15.17 | | | | | | | | | | (499) all_71_2 = 0
% 103.17/15.17 | | | | | | | | | |
% 103.17/15.17 | | | | | | | | | | COMBINE_EQS: (259), (499) imply:
% 103.17/15.17 | | | | | | | | | | (500) all_113_1 = 0
% 103.17/15.17 | | | | | | | | | |
% 103.17/15.17 | | | | | | | | | | REDUCE: (99), (499) imply:
% 103.17/15.17 | | | | | | | | | | (501) l1_orders_2(all_39_7) = 0
% 103.17/15.17 | | | | | | | | | |
% 103.17/15.17 | | | | | | | | | | BETA: splitting (120) gives:
% 103.17/15.17 | | | | | | | | | |
% 103.17/15.17 | | | | | | | | | | Case 1:
% 103.17/15.17 | | | | | | | | | | |
% 103.17/15.17 | | | | | | | | | | | (502) ~ (all_92_6 = 0) & l1_orders_2(all_39_10) =
% 103.17/15.17 | | | | | | | | | | | all_92_6
% 103.17/15.17 | | | | | | | | | | |
% 103.17/15.17 | | | | | | | | | | | ALPHA: (502) implies:
% 103.17/15.17 | | | | | | | | | | | (503) ~ (all_92_6 = 0)
% 103.17/15.17 | | | | | | | | | | | (504) l1_orders_2(all_39_10) = all_92_6
% 103.17/15.17 | | | | | | | | | | |
% 103.17/15.17 | | | | | | | | | | | GROUND_INST: instantiating (15) with 0, all_96_6, all_39_10,
% 103.17/15.17 | | | | | | | | | | | simplifying with (38), (413) gives:
% 103.17/15.17 | | | | | | | | | | | (505) all_96_6 = 0
% 103.17/15.17 | | | | | | | | | | |
% 103.17/15.17 | | | | | | | | | | | GROUND_INST: instantiating (15) with all_92_6, all_96_6,
% 103.17/15.17 | | | | | | | | | | | all_39_10, simplifying with (413), (504) gives:
% 103.17/15.17 | | | | | | | | | | | (506) all_96_6 = all_92_6
% 103.17/15.17 | | | | | | | | | | |
% 103.17/15.17 | | | | | | | | | | | COMBINE_EQS: (505), (506) imply:
% 103.17/15.17 | | | | | | | | | | | (507) all_92_6 = 0
% 103.17/15.17 | | | | | | | | | | |
% 103.17/15.17 | | | | | | | | | | | SIMP: (507) implies:
% 103.17/15.17 | | | | | | | | | | | (508) all_92_6 = 0
% 103.17/15.17 | | | | | | | | | | |
% 103.17/15.17 | | | | | | | | | | | REDUCE: (503), (508) imply:
% 103.17/15.17 | | | | | | | | | | | (509) $false
% 103.17/15.17 | | | | | | | | | | |
% 103.17/15.17 | | | | | | | | | | | CLOSE: (509) is inconsistent.
% 103.17/15.17 | | | | | | | | | | |
% 103.17/15.17 | | | | | | | | | | Case 2:
% 103.17/15.17 | | | | | | | | | | |
% 103.17/15.17 | | | | | | | | | | | (510) v12_waybel_0(all_92_5, all_39_7) = all_92_4 &
% 103.17/15.17 | | | | | | | | | | | k1_latsum_1(all_39_10, all_39_7) = all_92_1 &
% 103.17/15.17 | | | | | | | | | | | k3_xboole_0(all_39_9, all_39_6) = all_92_5 &
% 103.17/15.17 | | | | | | | | | | | k1_zfmisc_1(all_39_6) = all_92_3 &
% 103.17/15.17 | | | | | | | | | | | m1_subset_1(all_92_5, all_92_3) = all_92_2 &
% 103.17/15.17 | | | | | | | | | | | l1_orders_2(all_39_7) = all_92_6 &
% 103.17/15.17 | | | | | | | | | | | u1_orders_2(all_92_1) = all_92_0 & $i(all_92_0) &
% 103.17/15.17 | | | | | | | | | | | $i(all_92_1) & $i(all_92_3) & $i(all_92_5) & ( ~
% 103.17/15.17 | | | | | | | | | | | (all_92_6 = 0) | ! [v0: $i] : ! [v1: $i] : !
% 103.17/15.17 | | | | | | | | | | | [v2: $i] : ( ~ (all_92_2 = 0) | ~ (all_92_4 =
% 103.17/15.17 | | | | | | | | | | | 0) | ~ (k4_tarski(v0, v1) = v2) | ~ $i(v1)
% 103.17/15.17 | | | | | | | | | | | | ~ $i(v0) | ? [v3: any] : ? [v4: any] : ?
% 103.17/15.17 | | | | | | | | | | | [v5: any] : (r2_hidden(v2, all_92_0) = v3 &
% 103.17/15.17 | | | | | | | | | | | r2_hidden(v1, all_39_9) = v4 & r2_hidden(v0,
% 103.17/15.17 | | | | | | | | | | | all_39_9) = v5 & ( ~ (v4 = 0) | ~ (v3 =
% 103.17/15.17 | | | | | | | | | | | 0) | v5 = 0))))
% 103.17/15.17 | | | | | | | | | | |
% 103.17/15.17 | | | | | | | | | | | ALPHA: (510) implies:
% 103.17/15.17 | | | | | | | | | | | (511) l1_orders_2(all_39_7) = all_92_6
% 103.17/15.17 | | | | | | | | | | |
% 103.17/15.17 | | | | | | | | | | | BETA: splitting (121) gives:
% 103.17/15.17 | | | | | | | | | | |
% 103.17/15.17 | | | | | | | | | | | Case 1:
% 103.17/15.17 | | | | | | | | | | | |
% 103.17/15.17 | | | | | | | | | | | | (512) ~ (all_93_6 = 0) & l1_orders_2(all_39_7) =
% 103.17/15.17 | | | | | | | | | | | | all_93_6
% 103.17/15.17 | | | | | | | | | | | |
% 103.17/15.17 | | | | | | | | | | | | REF_CLOSE: (15), (128), (501), (512) are inconsistent by
% 103.17/15.17 | | | | | | | | | | | | sub-proof #3.
% 103.17/15.17 | | | | | | | | | | | |
% 103.17/15.17 | | | | | | | | | | | Case 2:
% 103.17/15.17 | | | | | | | | | | | |
% 103.17/15.17 | | | | | | | | | | | | (513) v12_waybel_0(all_93_5, all_39_8) = all_93_4 &
% 103.17/15.17 | | | | | | | | | | | | k1_latsum_1(all_39_7, all_39_8) = all_93_1 &
% 103.17/15.17 | | | | | | | | | | | | k3_xboole_0(all_39_6, all_39_5) = all_93_5 &
% 103.17/15.17 | | | | | | | | | | | | k1_zfmisc_1(all_39_5) = all_93_3 &
% 103.17/15.17 | | | | | | | | | | | | m1_subset_1(all_93_5, all_93_3) = all_93_2 &
% 103.17/15.17 | | | | | | | | | | | | l1_orders_2(all_39_8) = all_93_6 &
% 103.17/15.17 | | | | | | | | | | | | u1_orders_2(all_93_1) = all_93_0 & $i(all_93_0) &
% 103.17/15.17 | | | | | | | | | | | | $i(all_93_1) & $i(all_93_3) & $i(all_93_5) & ( ~
% 103.17/15.17 | | | | | | | | | | | | (all_93_6 = 0) | ! [v0: $i] : ! [v1: $i] : !
% 103.17/15.17 | | | | | | | | | | | | [v2: $i] : ( ~ (all_93_2 = 0) | ~ (all_93_4 =
% 103.17/15.17 | | | | | | | | | | | | 0) | ~ (k4_tarski(v0, v1) = v2) | ~ $i(v1)
% 103.17/15.17 | | | | | | | | | | | | | ~ $i(v0) | ? [v3: any] : ? [v4: any] : ?
% 103.17/15.17 | | | | | | | | | | | | [v5: any] : (r2_hidden(v2, all_93_0) = v3 &
% 103.17/15.17 | | | | | | | | | | | | r2_hidden(v1, all_39_6) = v4 & r2_hidden(v0,
% 103.17/15.17 | | | | | | | | | | | | all_39_6) = v5 & ( ~ (v4 = 0) | ~ (v3 =
% 103.17/15.17 | | | | | | | | | | | | 0) | v5 = 0))))
% 103.17/15.17 | | | | | | | | | | | |
% 103.17/15.17 | | | | | | | | | | | | ALPHA: (513) implies:
% 103.17/15.17 | | | | | | | | | | | | (514) l1_orders_2(all_39_8) = all_93_6
% 103.17/15.17 | | | | | | | | | | | | (515) k1_zfmisc_1(all_39_5) = all_93_3
% 103.17/15.17 | | | | | | | | | | | |
% 103.17/15.17 | | | | | | | | | | | | BETA: splitting (128) gives:
% 103.17/15.17 | | | | | | | | | | | |
% 103.17/15.17 | | | | | | | | | | | | Case 1:
% 103.17/15.17 | | | | | | | | | | | | |
% 103.17/15.17 | | | | | | | | | | | | | (516) ~ (all_100_6 = 0) & l1_orders_2(all_39_7) =
% 103.17/15.17 | | | | | | | | | | | | | all_100_6
% 103.17/15.17 | | | | | | | | | | | | |
% 103.17/15.17 | | | | | | | | | | | | | ALPHA: (516) implies:
% 103.17/15.17 | | | | | | | | | | | | | (517) ~ (all_100_6 = 0)
% 103.17/15.17 | | | | | | | | | | | | | (518) l1_orders_2(all_39_7) = all_100_6
% 103.17/15.17 | | | | | | | | | | | | |
% 103.17/15.17 | | | | | | | | | | | | | BETA: splitting (127) gives:
% 103.17/15.17 | | | | | | | | | | | | |
% 103.17/15.17 | | | | | | | | | | | | | Case 1:
% 103.17/15.17 | | | | | | | | | | | | | |
% 103.17/15.17 | | | | | | | | | | | | | | (519) ~ (all_99_6 = 0) & l1_orders_2(all_39_8) =
% 103.17/15.17 | | | | | | | | | | | | | | all_99_6
% 103.17/15.17 | | | | | | | | | | | | | |
% 103.17/15.17 | | | | | | | | | | | | | | REF_CLOSE: (15), (39), (390), (482), (514), (519) are
% 103.17/15.17 | | | | | | | | | | | | | | inconsistent by sub-proof #2.
% 103.17/15.17 | | | | | | | | | | | | | |
% 103.17/15.17 | | | | | | | | | | | | | Case 2:
% 103.17/15.17 | | | | | | | | | | | | | |
% 103.17/15.17 | | | | | | | | | | | | | | (520) v12_waybel_0(all_99_5, all_39_7) = all_99_4 &
% 103.17/15.17 | | | | | | | | | | | | | | k1_latsum_1(all_39_8, all_39_7) = all_99_1 &
% 103.17/15.17 | | | | | | | | | | | | | | k3_xboole_0(all_39_5, all_39_6) = all_99_5 &
% 103.17/15.17 | | | | | | | | | | | | | | k1_zfmisc_1(all_39_6) = all_99_3 &
% 103.17/15.17 | | | | | | | | | | | | | | m1_subset_1(all_99_5, all_99_3) = all_99_2 &
% 103.17/15.17 | | | | | | | | | | | | | | l1_orders_2(all_39_7) = all_99_6 &
% 103.17/15.17 | | | | | | | | | | | | | | u1_orders_2(all_99_1) = all_99_0 & $i(all_99_0) &
% 103.17/15.17 | | | | | | | | | | | | | | $i(all_99_1) & $i(all_99_3) & $i(all_99_5) & ( ~
% 103.17/15.17 | | | | | | | | | | | | | | (all_99_6 = 0) | ! [v0: $i] : ! [v1: $i] : !
% 103.17/15.17 | | | | | | | | | | | | | | [v2: $i] : ( ~ (all_99_2 = 0) | ~ (all_99_4 =
% 103.17/15.17 | | | | | | | | | | | | | | 0) | ~ (k4_tarski(v0, v1) = v2) | ~ $i(v1)
% 103.17/15.17 | | | | | | | | | | | | | | | ~ $i(v0) | ? [v3: any] : ? [v4: any] : ?
% 103.17/15.17 | | | | | | | | | | | | | | [v5: any] : (r2_hidden(v2, all_99_0) = v3 &
% 103.17/15.17 | | | | | | | | | | | | | | r2_hidden(v1, all_39_5) = v4 & r2_hidden(v0,
% 103.17/15.17 | | | | | | | | | | | | | | all_39_5) = v5 & ( ~ (v4 = 0) | ~ (v3 =
% 103.17/15.17 | | | | | | | | | | | | | | 0) | v5 = 0))))
% 103.17/15.17 | | | | | | | | | | | | | |
% 103.17/15.17 | | | | | | | | | | | | | | ALPHA: (520) implies:
% 103.17/15.17 | | | | | | | | | | | | | | (521) l1_orders_2(all_39_7) = all_99_6
% 103.17/15.17 | | | | | | | | | | | | | |
% 103.17/15.17 | | | | | | | | | | | | | | GROUND_INST: instantiating (15) with all_99_6, all_100_6,
% 103.17/15.17 | | | | | | | | | | | | | | all_39_7, simplifying with (518), (521) gives:
% 103.17/15.17 | | | | | | | | | | | | | | (522) all_100_6 = all_99_6
% 103.17/15.17 | | | | | | | | | | | | | |
% 103.17/15.17 | | | | | | | | | | | | | | GROUND_INST: instantiating (15) with all_92_6, all_100_6,
% 103.17/15.17 | | | | | | | | | | | | | | all_39_7, simplifying with (511), (518) gives:
% 103.17/15.17 | | | | | | | | | | | | | | (523) all_100_6 = all_92_6
% 103.17/15.17 | | | | | | | | | | | | | |
% 103.17/15.17 | | | | | | | | | | | | | | GROUND_INST: instantiating (15) with 0, all_100_6, all_39_7,
% 103.17/15.17 | | | | | | | | | | | | | | simplifying with (501), (518) gives:
% 103.17/15.17 | | | | | | | | | | | | | | (524) all_100_6 = 0
% 103.17/15.17 | | | | | | | | | | | | | |
% 103.17/15.17 | | | | | | | | | | | | | | COMBINE_EQS: (522), (523) imply:
% 103.17/15.17 | | | | | | | | | | | | | | (525) all_99_6 = all_92_6
% 103.17/15.17 | | | | | | | | | | | | | |
% 103.17/15.17 | | | | | | | | | | | | | | COMBINE_EQS: (522), (524) imply:
% 103.17/15.17 | | | | | | | | | | | | | | (526) all_99_6 = 0
% 103.17/15.17 | | | | | | | | | | | | | |
% 103.17/15.17 | | | | | | | | | | | | | | COMBINE_EQS: (525), (526) imply:
% 103.17/15.17 | | | | | | | | | | | | | | (527) all_92_6 = 0
% 103.17/15.17 | | | | | | | | | | | | | |
% 103.17/15.17 | | | | | | | | | | | | | | REDUCE: (517), (524) imply:
% 103.17/15.17 | | | | | | | | | | | | | | (528) $false
% 103.17/15.17 | | | | | | | | | | | | | |
% 103.17/15.17 | | | | | | | | | | | | | | CLOSE: (528) is inconsistent.
% 103.17/15.17 | | | | | | | | | | | | | |
% 103.17/15.17 | | | | | | | | | | | | | End of split
% 103.17/15.17 | | | | | | | | | | | | |
% 103.17/15.17 | | | | | | | | | | | | Case 2:
% 103.17/15.17 | | | | | | | | | | | | |
% 103.17/15.17 | | | | | | | | | | | | | (529) v12_waybel_0(all_100_5, all_39_7) = all_100_4 &
% 103.17/15.17 | | | | | | | | | | | | | k1_latsum_1(all_39_7, all_39_7) = all_100_1 &
% 103.17/15.17 | | | | | | | | | | | | | k3_xboole_0(all_39_6, all_39_6) = all_100_5 &
% 103.17/15.17 | | | | | | | | | | | | | k1_zfmisc_1(all_39_6) = all_100_3 &
% 103.17/15.17 | | | | | | | | | | | | | m1_subset_1(all_100_5, all_100_3) = all_100_2 &
% 103.17/15.17 | | | | | | | | | | | | | l1_orders_2(all_39_7) = all_100_6 &
% 103.17/15.17 | | | | | | | | | | | | | u1_orders_2(all_100_1) = all_100_0 & $i(all_100_0)
% 103.17/15.17 | | | | | | | | | | | | | & $i(all_100_1) & $i(all_100_3) & $i(all_100_5) &
% 103.17/15.17 | | | | | | | | | | | | | ( ~ (all_100_6 = 0) | ! [v0: $i] : ! [v1: $i] :
% 103.17/15.17 | | | | | | | | | | | | | ! [v2: $i] : ( ~ (all_100_2 = 0) | ~ (all_100_4
% 103.17/15.17 | | | | | | | | | | | | | = 0) | ~ (k4_tarski(v0, v1) = v2) | ~
% 103.17/15.17 | | | | | | | | | | | | | $i(v1) | ~ $i(v0) | ? [v3: any] : ? [v4:
% 103.17/15.17 | | | | | | | | | | | | | any] : ? [v5: any] : (r2_hidden(v2,
% 103.17/15.17 | | | | | | | | | | | | | all_100_0) = v3 & r2_hidden(v1, all_39_6)
% 103.17/15.17 | | | | | | | | | | | | | = v4 & r2_hidden(v0, all_39_6) = v5 & ( ~
% 103.17/15.17 | | | | | | | | | | | | | (v4 = 0) | ~ (v3 = 0) | v5 = 0))))
% 103.17/15.17 | | | | | | | | | | | | |
% 103.17/15.17 | | | | | | | | | | | | | ALPHA: (529) implies:
% 103.17/15.17 | | | | | | | | | | | | | (530) l1_orders_2(all_39_7) = all_100_6
% 103.17/15.17 | | | | | | | | | | | | |
% 103.17/15.17 | | | | | | | | | | | | | BETA: splitting (126) gives:
% 103.17/15.17 | | | | | | | | | | | | |
% 103.17/15.17 | | | | | | | | | | | | | Case 1:
% 103.17/15.17 | | | | | | | | | | | | | |
% 103.17/15.17 | | | | | | | | | | | | | | (531) ~ (all_98_6 = 0) & l1_orders_2(all_39_7) =
% 103.17/15.17 | | | | | | | | | | | | | | all_98_6
% 103.17/15.17 | | | | | | | | | | | | | |
% 103.17/15.17 | | | | | | | | | | | | | | ALPHA: (531) implies:
% 103.17/15.17 | | | | | | | | | | | | | | (532) ~ (all_98_6 = 0)
% 103.17/15.17 | | | | | | | | | | | | | | (533) l1_orders_2(all_39_7) = all_98_6
% 103.17/15.17 | | | | | | | | | | | | | |
% 103.17/15.17 | | | | | | | | | | | | | | GROUND_INST: instantiating (15) with 0, all_98_6, all_39_7,
% 103.17/15.17 | | | | | | | | | | | | | | simplifying with (501), (533) gives:
% 103.17/15.17 | | | | | | | | | | | | | | (534) all_98_6 = 0
% 103.17/15.17 | | | | | | | | | | | | | |
% 103.17/15.17 | | | | | | | | | | | | | | REDUCE: (532), (534) imply:
% 103.17/15.17 | | | | | | | | | | | | | | (535) $false
% 103.17/15.17 | | | | | | | | | | | | | |
% 103.17/15.17 | | | | | | | | | | | | | | CLOSE: (535) is inconsistent.
% 103.17/15.17 | | | | | | | | | | | | | |
% 103.17/15.17 | | | | | | | | | | | | | Case 2:
% 103.17/15.17 | | | | | | | | | | | | | |
% 103.17/15.17 | | | | | | | | | | | | | | (536) v12_waybel_0(all_98_5, all_39_8) = all_98_4 &
% 103.17/15.17 | | | | | | | | | | | | | | k1_latsum_1(all_39_7, all_39_8) = all_98_1 &
% 103.17/15.17 | | | | | | | | | | | | | | k3_xboole_0(all_39_6, all_98_6) = all_98_5 &
% 103.17/15.17 | | | | | | | | | | | | | | k1_zfmisc_1(all_98_6) = all_98_3 &
% 103.17/15.17 | | | | | | | | | | | | | | m1_subset_1(all_98_5, all_98_3) = all_98_2 &
% 103.17/15.18 | | | | | | | | | | | | | | u1_struct_0(all_39_8) = all_98_6 &
% 103.17/15.18 | | | | | | | | | | | | | | u1_orders_2(all_98_1) = all_98_0 & $i(all_98_0) &
% 103.17/15.18 | | | | | | | | | | | | | | $i(all_98_1) & $i(all_98_3) & $i(all_98_5) &
% 103.17/15.18 | | | | | | | | | | | | | | $i(all_98_6) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 103.17/15.18 | | | | | | | | | | | | | | $i] : ( ~ (all_98_2 = 0) | ~ (all_98_4 = 0) |
% 103.17/15.18 | | | | | | | | | | | | | | ~ (k4_tarski(v0, v1) = v2) | ~ $i(v1) | ~
% 103.17/15.18 | | | | | | | | | | | | | | $i(v0) | ? [v3: any] : ? [v4: any] : ? [v5:
% 103.17/15.18 | | | | | | | | | | | | | | any] : (r2_hidden(v2, all_98_0) = v3 &
% 103.17/15.18 | | | | | | | | | | | | | | r2_hidden(v1, all_39_6) = v4 & r2_hidden(v0,
% 103.17/15.18 | | | | | | | | | | | | | | all_39_6) = v5 & ( ~ (v4 = 0) | ~ (v3 = 0)
% 103.17/15.18 | | | | | | | | | | | | | | | v5 = 0)))
% 103.17/15.18 | | | | | | | | | | | | | |
% 103.17/15.18 | | | | | | | | | | | | | | ALPHA: (536) implies:
% 103.17/15.18 | | | | | | | | | | | | | | (537) u1_struct_0(all_39_8) = all_98_6
% 103.17/15.18 | | | | | | | | | | | | | | (538) k1_zfmisc_1(all_98_6) = all_98_3
% 103.17/15.18 | | | | | | | | | | | | | |
% 103.17/15.18 | | | | | | | | | | | | | | BETA: splitting (127) gives:
% 103.17/15.18 | | | | | | | | | | | | | |
% 103.17/15.18 | | | | | | | | | | | | | | Case 1:
% 103.17/15.18 | | | | | | | | | | | | | | |
% 103.17/15.18 | | | | | | | | | | | | | | | (539) ~ (all_99_6 = 0) & l1_orders_2(all_39_8) =
% 103.17/15.18 | | | | | | | | | | | | | | | all_99_6
% 103.17/15.18 | | | | | | | | | | | | | | |
% 103.17/15.18 | | | | | | | | | | | | | | | REF_CLOSE: (15), (39), (390), (482), (514), (539) are
% 103.17/15.18 | | | | | | | | | | | | | | | inconsistent by sub-proof #2.
% 103.17/15.18 | | | | | | | | | | | | | | |
% 103.17/15.18 | | | | | | | | | | | | | | Case 2:
% 103.17/15.18 | | | | | | | | | | | | | | |
% 103.17/15.18 | | | | | | | | | | | | | | | (540) v12_waybel_0(all_99_5, all_39_7) = all_99_4 &
% 103.17/15.18 | | | | | | | | | | | | | | | k1_latsum_1(all_39_8, all_39_7) = all_99_1 &
% 103.17/15.18 | | | | | | | | | | | | | | | k3_xboole_0(all_39_5, all_39_6) = all_99_5 &
% 103.17/15.18 | | | | | | | | | | | | | | | k1_zfmisc_1(all_39_6) = all_99_3 &
% 103.17/15.18 | | | | | | | | | | | | | | | m1_subset_1(all_99_5, all_99_3) = all_99_2 &
% 103.17/15.18 | | | | | | | | | | | | | | | l1_orders_2(all_39_7) = all_99_6 &
% 103.17/15.18 | | | | | | | | | | | | | | | u1_orders_2(all_99_1) = all_99_0 & $i(all_99_0) &
% 103.17/15.18 | | | | | | | | | | | | | | | $i(all_99_1) & $i(all_99_3) & $i(all_99_5) & ( ~
% 103.17/15.18 | | | | | | | | | | | | | | | (all_99_6 = 0) | ! [v0: $i] : ! [v1: $i] : !
% 103.17/15.18 | | | | | | | | | | | | | | | [v2: $i] : ( ~ (all_99_2 = 0) | ~ (all_99_4 =
% 103.17/15.18 | | | | | | | | | | | | | | | 0) | ~ (k4_tarski(v0, v1) = v2) | ~ $i(v1)
% 103.17/15.18 | | | | | | | | | | | | | | | | ~ $i(v0) | ? [v3: any] : ? [v4: any] : ?
% 103.17/15.18 | | | | | | | | | | | | | | | [v5: any] : (r2_hidden(v2, all_99_0) = v3 &
% 103.17/15.18 | | | | | | | | | | | | | | | r2_hidden(v1, all_39_5) = v4 & r2_hidden(v0,
% 103.17/15.18 | | | | | | | | | | | | | | | all_39_5) = v5 & ( ~ (v4 = 0) | ~ (v3 =
% 103.17/15.18 | | | | | | | | | | | | | | | 0) | v5 = 0))))
% 103.17/15.18 | | | | | | | | | | | | | | |
% 103.17/15.18 | | | | | | | | | | | | | | | ALPHA: (540) implies:
% 103.17/15.18 | | | | | | | | | | | | | | | (541) l1_orders_2(all_39_7) = all_99_6
% 103.17/15.18 | | | | | | | | | | | | | | |
% 103.17/15.18 | | | | | | | | | | | | | | | BETA: splitting (117) gives:
% 103.17/15.18 | | | | | | | | | | | | | | |
% 103.17/15.18 | | | | | | | | | | | | | | | Case 1:
% 103.17/15.18 | | | | | | | | | | | | | | | |
% 103.17/15.18 | | | | | | | | | | | | | | | | (542) ~ (all_88_6 = 0) & l1_orders_2(all_39_7) =
% 103.17/15.18 | | | | | | | | | | | | | | | | all_88_6
% 103.17/15.18 | | | | | | | | | | | | | | | |
% 103.17/15.18 | | | | | | | | | | | | | | | | ALPHA: (542) implies:
% 103.17/15.18 | | | | | | | | | | | | | | | | (543) ~ (all_88_6 = 0)
% 103.17/15.18 | | | | | | | | | | | | | | | | (544) l1_orders_2(all_39_7) = all_88_6
% 103.17/15.18 | | | | | | | | | | | | | | | |
% 103.17/15.18 | | | | | | | | | | | | | | | | BETA: splitting (128) gives:
% 103.17/15.18 | | | | | | | | | | | | | | | |
% 103.17/15.18 | | | | | | | | | | | | | | | | Case 1:
% 103.17/15.18 | | | | | | | | | | | | | | | | |
% 103.17/15.18 | | | | | | | | | | | | | | | | | (545) ~ (all_100_6 = 0) & l1_orders_2(all_39_7) =
% 103.17/15.18 | | | | | | | | | | | | | | | | | all_100_6
% 103.17/15.18 | | | | | | | | | | | | | | | | |
% 103.17/15.18 | | | | | | | | | | | | | | | | | REF_CLOSE: (15), (501), (530), (543), (544) are inconsistent
% 103.17/15.18 | | | | | | | | | | | | | | | | | by sub-proof #1.
% 103.17/15.18 | | | | | | | | | | | | | | | | |
% 103.17/15.18 | | | | | | | | | | | | | | | | Case 2:
% 103.17/15.18 | | | | | | | | | | | | | | | | |
% 103.17/15.18 | | | | | | | | | | | | | | | | |
% 103.17/15.18 | | | | | | | | | | | | | | | | | REF_CLOSE: (15), (501), (530), (543), (544) are inconsistent
% 103.17/15.18 | | | | | | | | | | | | | | | | | by sub-proof #1.
% 103.17/15.18 | | | | | | | | | | | | | | | | |
% 103.17/15.18 | | | | | | | | | | | | | | | | End of split
% 103.17/15.18 | | | | | | | | | | | | | | | |
% 103.17/15.18 | | | | | | | | | | | | | | | Case 2:
% 103.17/15.18 | | | | | | | | | | | | | | | |
% 103.17/15.18 | | | | | | | | | | | | | | | | (546) v12_waybel_0(all_88_5, all_39_10) = all_88_4 &
% 103.17/15.18 | | | | | | | | | | | | | | | | k1_latsum_1(all_39_7, all_39_10) = all_88_1 &
% 103.17/15.18 | | | | | | | | | | | | | | | | k3_xboole_0(all_39_6, all_88_6) = all_88_5 &
% 103.17/15.18 | | | | | | | | | | | | | | | | k1_zfmisc_1(all_88_6) = all_88_3 &
% 103.17/15.18 | | | | | | | | | | | | | | | | m1_subset_1(all_88_5, all_88_3) = all_88_2 &
% 103.17/15.18 | | | | | | | | | | | | | | | | u1_struct_0(all_39_10) = all_88_6 &
% 103.17/15.18 | | | | | | | | | | | | | | | | u1_orders_2(all_88_1) = all_88_0 & $i(all_88_0) &
% 103.17/15.18 | | | | | | | | | | | | | | | | $i(all_88_1) & $i(all_88_3) & $i(all_88_5) &
% 103.17/15.18 | | | | | | | | | | | | | | | | $i(all_88_6) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 103.17/15.18 | | | | | | | | | | | | | | | | $i] : ( ~ (all_88_2 = 0) | ~ (all_88_4 = 0) |
% 103.17/15.18 | | | | | | | | | | | | | | | | ~ (k4_tarski(v0, v1) = v2) | ~ $i(v1) | ~
% 103.17/15.18 | | | | | | | | | | | | | | | | $i(v0) | ? [v3: any] : ? [v4: any] : ? [v5:
% 103.17/15.18 | | | | | | | | | | | | | | | | any] : (r2_hidden(v2, all_88_0) = v3 &
% 103.17/15.18 | | | | | | | | | | | | | | | | r2_hidden(v1, all_39_6) = v4 & r2_hidden(v0,
% 103.17/15.18 | | | | | | | | | | | | | | | | all_39_6) = v5 & ( ~ (v4 = 0) | ~ (v3 = 0)
% 103.17/15.18 | | | | | | | | | | | | | | | | | v5 = 0)))
% 103.17/15.18 | | | | | | | | | | | | | | | |
% 103.17/15.18 | | | | | | | | | | | | | | | | ALPHA: (546) implies:
% 103.17/15.18 | | | | | | | | | | | | | | | | (547) u1_struct_0(all_39_10) = all_88_6
% 103.17/15.18 | | | | | | | | | | | | | | | |
% 103.17/15.18 | | | | | | | | | | | | | | | | BETA: splitting (130) gives:
% 103.17/15.18 | | | | | | | | | | | | | | | |
% 103.17/15.18 | | | | | | | | | | | | | | | | Case 1:
% 103.17/15.18 | | | | | | | | | | | | | | | | |
% 103.17/15.18 | | | | | | | | | | | | | | | | | (548) ~ (all_104_6 = 0) & l1_orders_2(all_39_7) =
% 103.17/15.18 | | | | | | | | | | | | | | | | | all_104_6
% 103.17/15.18 | | | | | | | | | | | | | | | | |
% 103.17/15.18 | | | | | | | | | | | | | | | | | ALPHA: (548) implies:
% 103.17/15.18 | | | | | | | | | | | | | | | | | (549) ~ (all_104_6 = 0)
% 103.17/15.18 | | | | | | | | | | | | | | | | | (550) l1_orders_2(all_39_7) = all_104_6
% 103.17/15.18 | | | | | | | | | | | | | | | | |
% 103.17/15.18 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (15) with all_100_6, all_104_6,
% 103.17/15.18 | | | | | | | | | | | | | | | | | all_39_7, simplifying with (530), (550) gives:
% 103.17/15.18 | | | | | | | | | | | | | | | | | (551) all_104_6 = all_100_6
% 103.17/15.18 | | | | | | | | | | | | | | | | |
% 103.17/15.18 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (15) with all_99_6, all_104_6,
% 103.17/15.18 | | | | | | | | | | | | | | | | | all_39_7, simplifying with (541), (550) gives:
% 103.17/15.18 | | | | | | | | | | | | | | | | | (552) all_104_6 = all_99_6
% 103.17/15.18 | | | | | | | | | | | | | | | | |
% 103.17/15.18 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (15) with 0, all_104_6, all_39_7,
% 103.17/15.18 | | | | | | | | | | | | | | | | | simplifying with (501), (550) gives:
% 103.17/15.18 | | | | | | | | | | | | | | | | | (553) all_104_6 = 0
% 103.17/15.18 | | | | | | | | | | | | | | | | |
% 103.17/15.18 | | | | | | | | | | | | | | | | | COMBINE_EQS: (551), (553) imply:
% 103.17/15.18 | | | | | | | | | | | | | | | | | (554) all_100_6 = 0
% 103.17/15.18 | | | | | | | | | | | | | | | | |
% 103.17/15.18 | | | | | | | | | | | | | | | | | COMBINE_EQS: (551), (552) imply:
% 103.17/15.18 | | | | | | | | | | | | | | | | | (555) all_100_6 = all_99_6
% 103.17/15.18 | | | | | | | | | | | | | | | | |
% 103.17/15.18 | | | | | | | | | | | | | | | | | COMBINE_EQS: (554), (555) imply:
% 103.17/15.18 | | | | | | | | | | | | | | | | | (556) all_99_6 = 0
% 103.17/15.18 | | | | | | | | | | | | | | | | |
% 103.17/15.18 | | | | | | | | | | | | | | | | | REDUCE: (549), (553) imply:
% 103.17/15.18 | | | | | | | | | | | | | | | | | (557) $false
% 103.17/15.18 | | | | | | | | | | | | | | | | |
% 103.17/15.18 | | | | | | | | | | | | | | | | | CLOSE: (557) is inconsistent.
% 103.17/15.18 | | | | | | | | | | | | | | | | |
% 103.17/15.18 | | | | | | | | | | | | | | | | Case 2:
% 103.17/15.18 | | | | | | | | | | | | | | | | |
% 103.17/15.18 | | | | | | | | | | | | | | | | | (558) v12_waybel_0(all_104_5, all_39_10) = all_104_4 &
% 103.17/15.18 | | | | | | | | | | | | | | | | | k1_latsum_1(all_39_7, all_39_10) = all_104_1 &
% 103.17/15.18 | | | | | | | | | | | | | | | | | k3_xboole_0(all_39_6, all_39_9) = all_104_5 &
% 103.17/15.18 | | | | | | | | | | | | | | | | | k1_zfmisc_1(all_39_9) = all_104_3 &
% 103.17/15.18 | | | | | | | | | | | | | | | | | m1_subset_1(all_104_5, all_104_3) = all_104_2 &
% 103.17/15.18 | | | | | | | | | | | | | | | | | l1_orders_2(all_39_10) = all_104_6 &
% 103.17/15.18 | | | | | | | | | | | | | | | | | u1_orders_2(all_104_1) = all_104_0 & $i(all_104_0)
% 103.17/15.18 | | | | | | | | | | | | | | | | | & $i(all_104_1) & $i(all_104_3) & $i(all_104_5) &
% 103.17/15.18 | | | | | | | | | | | | | | | | | ( ~ (all_104_6 = 0) | ! [v0: $i] : ! [v1: $i] :
% 103.17/15.18 | | | | | | | | | | | | | | | | | ! [v2: $i] : ( ~ (all_104_2 = 0) | ~ (all_104_4
% 103.17/15.18 | | | | | | | | | | | | | | | | | = 0) | ~ (k4_tarski(v0, v1) = v2) | ~
% 103.17/15.18 | | | | | | | | | | | | | | | | | $i(v1) | ~ $i(v0) | ? [v3: any] : ? [v4:
% 103.17/15.18 | | | | | | | | | | | | | | | | | any] : ? [v5: any] : (r2_hidden(v2,
% 103.17/15.18 | | | | | | | | | | | | | | | | | all_104_0) = v3 & r2_hidden(v1, all_39_6)
% 103.17/15.18 | | | | | | | | | | | | | | | | | = v4 & r2_hidden(v0, all_39_6) = v5 & ( ~
% 103.17/15.18 | | | | | | | | | | | | | | | | | (v4 = 0) | ~ (v3 = 0) | v5 = 0))))
% 103.17/15.18 | | | | | | | | | | | | | | | | |
% 103.17/15.18 | | | | | | | | | | | | | | | | | ALPHA: (558) implies:
% 103.17/15.18 | | | | | | | | | | | | | | | | | (559) l1_orders_2(all_39_10) = all_104_6
% 103.17/15.18 | | | | | | | | | | | | | | | | |
% 103.17/15.18 | | | | | | | | | | | | | | | | | BETA: splitting (129) gives:
% 103.17/15.18 | | | | | | | | | | | | | | | | |
% 103.17/15.18 | | | | | | | | | | | | | | | | | Case 1:
% 103.17/15.18 | | | | | | | | | | | | | | | | | |
% 103.17/15.18 | | | | | | | | | | | | | | | | | | (560) ~ (all_101_6 = 0) & l1_orders_2(all_39_10) =
% 103.17/15.18 | | | | | | | | | | | | | | | | | | all_101_6
% 103.17/15.18 | | | | | | | | | | | | | | | | | |
% 103.17/15.18 | | | | | | | | | | | | | | | | | | ALPHA: (560) implies:
% 103.17/15.18 | | | | | | | | | | | | | | | | | | (561) ~ (all_101_6 = 0)
% 103.17/15.18 | | | | | | | | | | | | | | | | | | (562) l1_orders_2(all_39_10) = all_101_6
% 103.17/15.18 | | | | | | | | | | | | | | | | | |
% 103.17/15.18 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (15) with 0, all_101_6, all_39_10,
% 103.17/15.18 | | | | | | | | | | | | | | | | | | simplifying with (38), (562) gives:
% 103.17/15.18 | | | | | | | | | | | | | | | | | | (563) all_101_6 = 0
% 103.17/15.18 | | | | | | | | | | | | | | | | | |
% 103.17/15.18 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (15) with all_96_6, all_101_6,
% 103.17/15.18 | | | | | | | | | | | | | | | | | | all_39_10, simplifying with (413), (562) gives:
% 103.17/15.18 | | | | | | | | | | | | | | | | | | (564) all_101_6 = all_96_6
% 103.17/15.18 | | | | | | | | | | | | | | | | | |
% 103.17/15.18 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (563), (564) imply:
% 103.17/15.18 | | | | | | | | | | | | | | | | | | (565) all_96_6 = 0
% 103.17/15.18 | | | | | | | | | | | | | | | | | |
% 103.17/15.18 | | | | | | | | | | | | | | | | | | REDUCE: (561), (563) imply:
% 103.17/15.18 | | | | | | | | | | | | | | | | | | (566) $false
% 103.17/15.18 | | | | | | | | | | | | | | | | | |
% 103.17/15.18 | | | | | | | | | | | | | | | | | | CLOSE: (566) is inconsistent.
% 103.17/15.18 | | | | | | | | | | | | | | | | | |
% 103.17/15.18 | | | | | | | | | | | | | | | | | Case 2:
% 103.17/15.18 | | | | | | | | | | | | | | | | | |
% 103.17/15.18 | | | | | | | | | | | | | | | | | | (567) v12_waybel_0(all_101_5, all_39_10) = all_101_4 &
% 103.17/15.18 | | | | | | | | | | | | | | | | | | k1_latsum_1(all_39_10, all_39_10) = all_101_1 &
% 103.17/15.18 | | | | | | | | | | | | | | | | | | k3_xboole_0(all_39_9, all_101_6) = all_101_5 &
% 103.17/15.18 | | | | | | | | | | | | | | | | | | k1_zfmisc_1(all_101_6) = all_101_3 &
% 103.17/15.18 | | | | | | | | | | | | | | | | | | m1_subset_1(all_101_5, all_101_3) = all_101_2 &
% 103.17/15.18 | | | | | | | | | | | | | | | | | | u1_struct_0(all_39_10) = all_101_6 &
% 103.17/15.18 | | | | | | | | | | | | | | | | | | u1_orders_2(all_101_1) = all_101_0 & $i(all_101_0)
% 103.17/15.18 | | | | | | | | | | | | | | | | | | & $i(all_101_1) & $i(all_101_3) & $i(all_101_5) &
% 103.17/15.18 | | | | | | | | | | | | | | | | | | $i(all_101_6) & ! [v0: $i] : ! [v1: $i] : !
% 103.17/15.18 | | | | | | | | | | | | | | | | | | [v2: $i] : ( ~ (all_101_2 = 0) | ~ (all_101_4 =
% 103.17/15.18 | | | | | | | | | | | | | | | | | | 0) | ~ (k4_tarski(v0, v1) = v2) | ~ $i(v1) |
% 103.17/15.18 | | | | | | | | | | | | | | | | | | ~ $i(v0) | ? [v3: any] : ? [v4: any] : ?
% 103.17/15.18 | | | | | | | | | | | | | | | | | | [v5: any] : (r2_hidden(v2, all_101_0) = v3 &
% 103.17/15.18 | | | | | | | | | | | | | | | | | | r2_hidden(v1, all_39_9) = v4 & r2_hidden(v0,
% 103.17/15.18 | | | | | | | | | | | | | | | | | | all_39_9) = v5 & ( ~ (v4 = 0) | ~ (v3 = 0)
% 103.17/15.18 | | | | | | | | | | | | | | | | | | | v5 = 0)))
% 103.17/15.18 | | | | | | | | | | | | | | | | | |
% 103.17/15.18 | | | | | | | | | | | | | | | | | | ALPHA: (567) implies:
% 103.17/15.18 | | | | | | | | | | | | | | | | | | (568) u1_struct_0(all_39_10) = all_101_6
% 103.17/15.18 | | | | | | | | | | | | | | | | | |
% 103.17/15.18 | | | | | | | | | | | | | | | | | | BETA: splitting (131) gives:
% 103.17/15.18 | | | | | | | | | | | | | | | | | |
% 103.17/15.18 | | | | | | | | | | | | | | | | | | Case 1:
% 103.17/15.18 | | | | | | | | | | | | | | | | | | |
% 103.17/15.18 | | | | | | | | | | | | | | | | | | | (569) ~ (all_105_6 = 0) & l1_orders_2(all_39_10) =
% 103.17/15.18 | | | | | | | | | | | | | | | | | | | all_105_6
% 103.17/15.18 | | | | | | | | | | | | | | | | | | |
% 103.17/15.18 | | | | | | | | | | | | | | | | | | | ALPHA: (569) implies:
% 103.17/15.18 | | | | | | | | | | | | | | | | | | | (570) ~ (all_105_6 = 0)
% 103.17/15.18 | | | | | | | | | | | | | | | | | | | (571) l1_orders_2(all_39_10) = all_105_6
% 103.17/15.18 | | | | | | | | | | | | | | | | | | |
% 103.17/15.18 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (15) with 0, all_96_6, all_39_10,
% 103.17/15.18 | | | | | | | | | | | | | | | | | | | simplifying with (38), (413) gives:
% 103.17/15.18 | | | | | | | | | | | | | | | | | | | (572) all_96_6 = 0
% 103.17/15.18 | | | | | | | | | | | | | | | | | | |
% 103.17/15.18 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (15) with all_96_6, all_104_6,
% 103.17/15.18 | | | | | | | | | | | | | | | | | | | all_39_10, simplifying with (413), (559) gives:
% 103.17/15.18 | | | | | | | | | | | | | | | | | | | (573) all_104_6 = all_96_6
% 103.17/15.18 | | | | | | | | | | | | | | | | | | |
% 103.17/15.18 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (15) with all_104_6, all_105_6,
% 103.17/15.18 | | | | | | | | | | | | | | | | | | | all_39_10, simplifying with (559), (571) gives:
% 103.17/15.18 | | | | | | | | | | | | | | | | | | | (574) all_105_6 = all_104_6
% 103.17/15.18 | | | | | | | | | | | | | | | | | | |
% 103.17/15.18 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (15) with all_94_6, all_105_6,
% 103.17/15.18 | | | | | | | | | | | | | | | | | | | all_39_10, simplifying with (410), (571) gives:
% 103.17/15.18 | | | | | | | | | | | | | | | | | | | (575) all_105_6 = all_94_6
% 103.17/15.18 | | | | | | | | | | | | | | | | | | |
% 103.17/15.18 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (574), (575) imply:
% 103.17/15.18 | | | | | | | | | | | | | | | | | | | (576) all_104_6 = all_94_6
% 103.17/15.18 | | | | | | | | | | | | | | | | | | |
% 103.17/15.18 | | | | | | | | | | | | | | | | | | | SIMP: (576) implies:
% 103.17/15.18 | | | | | | | | | | | | | | | | | | | (577) all_104_6 = all_94_6
% 103.17/15.18 | | | | | | | | | | | | | | | | | | |
% 103.17/15.18 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (573), (577) imply:
% 103.17/15.18 | | | | | | | | | | | | | | | | | | | (578) all_96_6 = all_94_6
% 103.17/15.18 | | | | | | | | | | | | | | | | | | |
% 103.17/15.18 | | | | | | | | | | | | | | | | | | | SIMP: (578) implies:
% 103.17/15.18 | | | | | | | | | | | | | | | | | | | (579) all_96_6 = all_94_6
% 103.17/15.18 | | | | | | | | | | | | | | | | | | |
% 103.17/15.18 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (572), (579) imply:
% 103.17/15.18 | | | | | | | | | | | | | | | | | | | (580) all_94_6 = 0
% 103.17/15.18 | | | | | | | | | | | | | | | | | | |
% 103.17/15.18 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (575), (580) imply:
% 103.17/15.18 | | | | | | | | | | | | | | | | | | | (581) all_105_6 = 0
% 103.17/15.18 | | | | | | | | | | | | | | | | | | |
% 103.17/15.18 | | | | | | | | | | | | | | | | | | | REDUCE: (570), (581) imply:
% 103.17/15.18 | | | | | | | | | | | | | | | | | | | (582) $false
% 103.17/15.18 | | | | | | | | | | | | | | | | | | |
% 103.17/15.18 | | | | | | | | | | | | | | | | | | | CLOSE: (582) is inconsistent.
% 103.17/15.18 | | | | | | | | | | | | | | | | | | |
% 103.17/15.18 | | | | | | | | | | | | | | | | | | Case 2:
% 103.17/15.18 | | | | | | | | | | | | | | | | | | |
% 103.17/15.18 | | | | | | | | | | | | | | | | | | | (583) v12_waybel_0(all_105_5, all_39_8) = all_105_4 &
% 103.17/15.18 | | | | | | | | | | | | | | | | | | | k1_latsum_1(all_39_10, all_39_8) = all_105_1 &
% 103.17/15.18 | | | | | | | | | | | | | | | | | | | k3_xboole_0(all_39_9, all_105_6) = all_105_5 &
% 103.17/15.18 | | | | | | | | | | | | | | | | | | | k1_zfmisc_1(all_105_6) = all_105_3 &
% 103.17/15.18 | | | | | | | | | | | | | | | | | | | m1_subset_1(all_105_5, all_105_3) = all_105_2 &
% 103.17/15.18 | | | | | | | | | | | | | | | | | | | u1_struct_0(all_39_8) = all_105_6 &
% 103.17/15.18 | | | | | | | | | | | | | | | | | | | u1_orders_2(all_105_1) = all_105_0 & $i(all_105_0)
% 103.17/15.18 | | | | | | | | | | | | | | | | | | | & $i(all_105_1) & $i(all_105_3) & $i(all_105_5) &
% 103.17/15.18 | | | | | | | | | | | | | | | | | | | $i(all_105_6) & ! [v0: $i] : ! [v1: $i] : !
% 103.17/15.18 | | | | | | | | | | | | | | | | | | | [v2: $i] : ( ~ (all_105_2 = 0) | ~ (all_105_4 =
% 103.17/15.18 | | | | | | | | | | | | | | | | | | | 0) | ~ (k4_tarski(v0, v1) = v2) | ~ $i(v1) |
% 103.17/15.18 | | | | | | | | | | | | | | | | | | | ~ $i(v0) | ? [v3: any] : ? [v4: any] : ?
% 103.17/15.18 | | | | | | | | | | | | | | | | | | | [v5: any] : (r2_hidden(v2, all_105_0) = v3 &
% 103.17/15.18 | | | | | | | | | | | | | | | | | | | r2_hidden(v1, all_39_9) = v4 & r2_hidden(v0,
% 103.17/15.18 | | | | | | | | | | | | | | | | | | | all_39_9) = v5 & ( ~ (v4 = 0) | ~ (v3 = 0)
% 103.17/15.18 | | | | | | | | | | | | | | | | | | | | v5 = 0)))
% 103.17/15.18 | | | | | | | | | | | | | | | | | | |
% 103.17/15.18 | | | | | | | | | | | | | | | | | | | ALPHA: (583) implies:
% 103.17/15.18 | | | | | | | | | | | | | | | | | | | (584) u1_orders_2(all_105_1) = all_105_0
% 103.17/15.18 | | | | | | | | | | | | | | | | | | | (585) u1_struct_0(all_39_8) = all_105_6
% 103.17/15.18 | | | | | | | | | | | | | | | | | | | (586) m1_subset_1(all_105_5, all_105_3) = all_105_2
% 103.17/15.18 | | | | | | | | | | | | | | | | | | | (587) k1_zfmisc_1(all_105_6) = all_105_3
% 103.17/15.18 | | | | | | | | | | | | | | | | | | | (588) k3_xboole_0(all_39_9, all_105_6) = all_105_5
% 103.17/15.18 | | | | | | | | | | | | | | | | | | | (589) k1_latsum_1(all_39_10, all_39_8) = all_105_1
% 103.17/15.18 | | | | | | | | | | | | | | | | | | | (590) v12_waybel_0(all_105_5, all_39_8) = all_105_4
% 103.17/15.18 | | | | | | | | | | | | | | | | | | | (591) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~
% 103.17/15.18 | | | | | | | | | | | | | | | | | | | (all_105_2 = 0) | ~ (all_105_4 = 0) | ~
% 103.17/15.18 | | | | | | | | | | | | | | | | | | | (k4_tarski(v0, v1) = v2) | ~ $i(v1) | ~ $i(v0)
% 103.17/15.18 | | | | | | | | | | | | | | | | | | | | ? [v3: any] : ? [v4: any] : ? [v5: any] :
% 103.17/15.18 | | | | | | | | | | | | | | | | | | | (r2_hidden(v2, all_105_0) = v3 & r2_hidden(v1,
% 103.17/15.18 | | | | | | | | | | | | | | | | | | | all_39_9) = v4 & r2_hidden(v0, all_39_9) =
% 103.17/15.18 | | | | | | | | | | | | | | | | | | | v5 & ( ~ (v4 = 0) | ~ (v3 = 0) | v5 = 0)))
% 103.17/15.18 | | | | | | | | | | | | | | | | | | |
% 103.17/15.18 | | | | | | | | | | | | | | | | | | | BETA: splitting (141) gives:
% 103.17/15.18 | | | | | | | | | | | | | | | | | | |
% 103.17/15.18 | | | | | | | | | | | | | | | | | | | Case 1:
% 103.17/15.18 | | | | | | | | | | | | | | | | | | | |
% 103.17/15.18 | | | | | | | | | | | | | | | | | | | | (592) ~ (all_113_1 = 0)
% 103.17/15.18 | | | | | | | | | | | | | | | | | | | |
% 103.17/15.18 | | | | | | | | | | | | | | | | | | | | REDUCE: (500), (592) imply:
% 103.17/15.18 | | | | | | | | | | | | | | | | | | | | (593) $false
% 103.17/15.18 | | | | | | | | | | | | | | | | | | | |
% 103.17/15.18 | | | | | | | | | | | | | | | | | | | | CLOSE: (593) is inconsistent.
% 103.17/15.18 | | | | | | | | | | | | | | | | | | | |
% 103.17/15.18 | | | | | | | | | | | | | | | | | | | Case 2:
% 103.17/15.18 | | | | | | | | | | | | | | | | | | | |
% 103.17/15.18 | | | | | | | | | | | | | | | | | | | | (594) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~
% 103.17/15.18 | | | | | | | | | | | | | | | | | | | | (k4_tarski(v0, v1) = v2) | ~ (m1_subset_1(v0,
% 103.17/15.18 | | | | | | | | | | | | | | | | | | | | all_39_6) = 0) | ~ $i(v1) | ~ $i(v0) | ?
% 103.17/15.18 | | | | | | | | | | | | | | | | | | | | [v3: any] : ? [v4: any] : ? [v5: any] :
% 103.17/15.18 | | | | | | | | | | | | | | | | | | | | (r1_orders_2(all_39_7, v0, v1) = v4 &
% 103.17/15.18 | | | | | | | | | | | | | | | | | | | | m1_subset_1(v1, all_39_6) = v3 & r2_hidden(v2,
% 103.17/15.18 | | | | | | | | | | | | | | | | | | | | all_113_0) = v5 & ( ~ (v3 = 0) | (( ~ (v5 =
% 103.17/15.18 | | | | | | | | | | | | | | | | | | | | 0) | v4 = 0) & ( ~ (v4 = 0) | v5 =
% 103.17/15.18 | | | | | | | | | | | | | | | | | | | | 0))))) & ! [v0: $i] : ! [v1: $i] : !
% 103.17/15.18 | | | | | | | | | | | | | | | | | | | | [v2: any] : ( ~ (r1_orders_2(all_39_7, v0, v1) =
% 103.17/15.18 | | | | | | | | | | | | | | | | | | | | v2) | ~ (m1_subset_1(v0, all_39_6) = 0) | ~
% 103.17/15.18 | | | | | | | | | | | | | | | | | | | | $i(v1) | ~ $i(v0) | ? [v3: any] : ? [v4: $i]
% 103.17/15.18 | | | | | | | | | | | | | | | | | | | | : ? [v5: any] : (k4_tarski(v0, v1) = v4 &
% 103.17/15.18 | | | | | | | | | | | | | | | | | | | | m1_subset_1(v1, all_39_6) = v3 & r2_hidden(v4,
% 103.17/15.18 | | | | | | | | | | | | | | | | | | | | all_113_0) = v5 & $i(v4) & ( ~ (v3 = 0) | ((
% 103.17/15.18 | | | | | | | | | | | | | | | | | | | | ~ (v5 = 0) | v2 = 0) & ( ~ (v2 = 0) | v5
% 103.17/15.18 | | | | | | | | | | | | | | | | | | | | = 0))))) & ! [v0: $i] : ! [v1: $i] : (
% 103.17/15.18 | | | | | | | | | | | | | | | | | | | | ~ (m1_subset_1(v1, all_39_6) = 0) | ~
% 103.17/15.18 | | | | | | | | | | | | | | | | | | | | (m1_subset_1(v0, all_39_6) = 0) | ~ $i(v1) | ~
% 103.17/15.18 | | | | | | | | | | | | | | | | | | | | $i(v0) | ? [v2: any] : ? [v3: $i] : ? [v4:
% 103.17/15.18 | | | | | | | | | | | | | | | | | | | | any] : (k4_tarski(v0, v1) = v3 &
% 103.17/15.18 | | | | | | | | | | | | | | | | | | | | r1_orders_2(all_39_7, v0, v1) = v2 &
% 103.17/15.18 | | | | | | | | | | | | | | | | | | | | r2_hidden(v3, all_113_0) = v4 & $i(v3) & ( ~
% 103.17/15.18 | | | | | | | | | | | | | | | | | | | | (v4 = 0) | v2 = 0) & ( ~ (v2 = 0) | v4 =
% 103.17/15.18 | | | | | | | | | | | | | | | | | | | | 0)))
% 103.17/15.18 | | | | | | | | | | | | | | | | | | | |
% 103.17/15.18 | | | | | | | | | | | | | | | | | | | | ALPHA: (594) implies:
% 103.17/15.18 | | | | | | | | | | | | | | | | | | | | (595) ! [v0: $i] : ! [v1: $i] : ( ~ (m1_subset_1(v1,
% 103.17/15.18 | | | | | | | | | | | | | | | | | | | | all_39_6) = 0) | ~ (m1_subset_1(v0,
% 103.17/15.18 | | | | | | | | | | | | | | | | | | | | all_39_6) = 0) | ~ $i(v1) | ~ $i(v0) | ?
% 103.17/15.18 | | | | | | | | | | | | | | | | | | | | [v2: any] : ? [v3: $i] : ? [v4: any] :
% 103.17/15.18 | | | | | | | | | | | | | | | | | | | | (k4_tarski(v0, v1) = v3 & r1_orders_2(all_39_7,
% 103.17/15.18 | | | | | | | | | | | | | | | | | | | | v0, v1) = v2 & r2_hidden(v3, all_113_0) = v4
% 103.17/15.18 | | | | | | | | | | | | | | | | | | | | & $i(v3) & ( ~ (v4 = 0) | v2 = 0) & ( ~ (v2 =
% 103.17/15.18 | | | | | | | | | | | | | | | | | | | | 0) | v4 = 0)))
% 103.17/15.18 | | | | | | | | | | | | | | | | | | | | (596) ! [v0: $i] : ! [v1: $i] : ! [v2: any] : ( ~
% 103.17/15.18 | | | | | | | | | | | | | | | | | | | | (r1_orders_2(all_39_7, v0, v1) = v2) | ~
% 103.17/15.18 | | | | | | | | | | | | | | | | | | | | (m1_subset_1(v0, all_39_6) = 0) | ~ $i(v1) | ~
% 103.17/15.18 | | | | | | | | | | | | | | | | | | | | $i(v0) | ? [v3: any] : ? [v4: $i] : ? [v5:
% 103.17/15.18 | | | | | | | | | | | | | | | | | | | | any] : (k4_tarski(v0, v1) = v4 &
% 103.17/15.18 | | | | | | | | | | | | | | | | | | | | m1_subset_1(v1, all_39_6) = v3 & r2_hidden(v4,
% 103.17/15.18 | | | | | | | | | | | | | | | | | | | | all_113_0) = v5 & $i(v4) & ( ~ (v3 = 0) | ((
% 103.17/15.18 | | | | | | | | | | | | | | | | | | | | ~ (v5 = 0) | v2 = 0) & ( ~ (v2 = 0) | v5
% 103.17/15.18 | | | | | | | | | | | | | | | | | | | | = 0)))))
% 103.17/15.18 | | | | | | | | | | | | | | | | | | | |
% 103.17/15.18 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (595) with all_39_2, all_39_0,
% 103.17/15.18 | | | | | | | | | | | | | | | | | | | | simplifying with (33), (34), (43), (44) gives:
% 103.17/15.19 | | | | | | | | | | | | | | | | | | | | (597) ? [v0: any] : ? [v1: $i] : ? [v2: any] :
% 103.17/15.19 | | | | | | | | | | | | | | | | | | | | (k4_tarski(all_39_2, all_39_0) = v1 &
% 103.17/15.19 | | | | | | | | | | | | | | | | | | | | r1_orders_2(all_39_7, all_39_2, all_39_0) = v0 &
% 103.17/15.19 | | | | | | | | | | | | | | | | | | | | r2_hidden(v1, all_113_0) = v2 & $i(v1) & ( ~ (v2
% 103.17/15.19 | | | | | | | | | | | | | | | | | | | | = 0) | v0 = 0) & ( ~ (v0 = 0) | v2 = 0))
% 103.17/15.19 | | | | | | | | | | | | | | | | | | | |
% 103.17/15.19 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (596) with all_39_2, all_39_0, 0,
% 103.17/15.19 | | | | | | | | | | | | | | | | | | | | simplifying with (33), (34), (43), (47) gives:
% 103.17/15.19 | | | | | | | | | | | | | | | | | | | | (598) ? [v0: any] : ? [v1: $i] : ? [v2: any] :
% 103.17/15.19 | | | | | | | | | | | | | | | | | | | | (k4_tarski(all_39_2, all_39_0) = v1 &
% 103.17/15.19 | | | | | | | | | | | | | | | | | | | | m1_subset_1(all_39_0, all_39_6) = v0 &
% 103.17/15.19 | | | | | | | | | | | | | | | | | | | | r2_hidden(v1, all_113_0) = v2 & $i(v1) & ( ~ (v0
% 103.17/15.19 | | | | | | | | | | | | | | | | | | | | = 0) | v2 = 0))
% 103.17/15.19 | | | | | | | | | | | | | | | | | | | |
% 103.17/15.19 | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (598) with fresh symbols all_356_0,
% 103.17/15.19 | | | | | | | | | | | | | | | | | | | | all_356_1, all_356_2 gives:
% 103.17/15.19 | | | | | | | | | | | | | | | | | | | | (599) k4_tarski(all_39_2, all_39_0) = all_356_1 &
% 103.17/15.19 | | | | | | | | | | | | | | | | | | | | m1_subset_1(all_39_0, all_39_6) = all_356_2 &
% 103.17/15.19 | | | | | | | | | | | | | | | | | | | | r2_hidden(all_356_1, all_113_0) = all_356_0 &
% 103.17/15.19 | | | | | | | | | | | | | | | | | | | | $i(all_356_1) & ( ~ (all_356_2 = 0) | all_356_0 =
% 103.17/15.19 | | | | | | | | | | | | | | | | | | | | 0)
% 103.17/15.19 | | | | | | | | | | | | | | | | | | | |
% 103.17/15.19 | | | | | | | | | | | | | | | | | | | | ALPHA: (599) implies:
% 103.17/15.19 | | | | | | | | | | | | | | | | | | | | (600) k4_tarski(all_39_2, all_39_0) = all_356_1
% 103.17/15.19 | | | | | | | | | | | | | | | | | | | |
% 103.17/15.19 | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (597) with fresh symbols all_364_0,
% 103.17/15.19 | | | | | | | | | | | | | | | | | | | | all_364_1, all_364_2 gives:
% 103.17/15.19 | | | | | | | | | | | | | | | | | | | | (601) k4_tarski(all_39_2, all_39_0) = all_364_1 &
% 103.17/15.19 | | | | | | | | | | | | | | | | | | | | r1_orders_2(all_39_7, all_39_2, all_39_0) =
% 103.17/15.19 | | | | | | | | | | | | | | | | | | | | all_364_2 & r2_hidden(all_364_1, all_113_0) =
% 103.17/15.19 | | | | | | | | | | | | | | | | | | | | all_364_0 & $i(all_364_1) & ( ~ (all_364_0 = 0) |
% 103.17/15.19 | | | | | | | | | | | | | | | | | | | | all_364_2 = 0) & ( ~ (all_364_2 = 0) | all_364_0
% 103.17/15.19 | | | | | | | | | | | | | | | | | | | | = 0)
% 103.17/15.19 | | | | | | | | | | | | | | | | | | | |
% 103.17/15.19 | | | | | | | | | | | | | | | | | | | | ALPHA: (601) implies:
% 103.17/15.19 | | | | | | | | | | | | | | | | | | | | (602) r2_hidden(all_364_1, all_113_0) = all_364_0
% 103.17/15.19 | | | | | | | | | | | | | | | | | | | | (603) r1_orders_2(all_39_7, all_39_2, all_39_0) =
% 103.17/15.19 | | | | | | | | | | | | | | | | | | | | all_364_2
% 103.17/15.19 | | | | | | | | | | | | | | | | | | | | (604) k4_tarski(all_39_2, all_39_0) = all_364_1
% 103.17/15.19 | | | | | | | | | | | | | | | | | | | | (605) ~ (all_364_2 = 0) | all_364_0 = 0
% 103.17/15.19 | | | | | | | | | | | | | | | | | | | |
% 103.17/15.19 | | | | | | | | | | | | | | | | | | | | REDUCE: (226), (602) imply:
% 103.17/15.19 | | | | | | | | | | | | | | | | | | | | (606) r2_hidden(all_364_1, all_71_1) = all_364_0
% 103.17/15.19 | | | | | | | | | | | | | | | | | | | |
% 103.17/15.19 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (13) with all_71_1, all_150_0,
% 103.17/15.19 | | | | | | | | | | | | | | | | | | | | all_39_7, simplifying with (98), (358) gives:
% 103.17/15.19 | | | | | | | | | | | | | | | | | | | | (607) all_150_0 = all_71_1
% 103.17/15.19 | | | | | | | | | | | | | | | | | | | |
% 103.17/15.19 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (13) with all_150_0, all_154_0,
% 103.17/15.19 | | | | | | | | | | | | | | | | | | | | all_39_7, simplifying with (357), (358) gives:
% 103.17/15.19 | | | | | | | | | | | | | | | | | | | | (608) all_154_0 = all_150_0
% 103.17/15.19 | | | | | | | | | | | | | | | | | | | |
% 103.17/15.19 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (13) with all_95_0, all_154_0,
% 103.17/15.19 | | | | | | | | | | | | | | | | | | | | all_39_7, simplifying with (357), (388) gives:
% 103.17/15.19 | | | | | | | | | | | | | | | | | | | | (609) all_154_0 = all_95_0
% 103.17/15.19 | | | | | | | | | | | | | | | | | | | |
% 103.17/15.19 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (14) with all_39_9, all_101_6,
% 103.17/15.19 | | | | | | | | | | | | | | | | | | | | all_39_10, simplifying with (35), (568) gives:
% 103.17/15.19 | | | | | | | | | | | | | | | | | | | | (610) all_101_6 = all_39_9
% 103.17/15.19 | | | | | | | | | | | | | | | | | | | |
% 103.17/15.19 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (14) with all_88_6, all_101_6,
% 103.17/15.19 | | | | | | | | | | | | | | | | | | | | all_39_10, simplifying with (547), (568) gives:
% 103.17/15.19 | | | | | | | | | | | | | | | | | | | | (611) all_101_6 = all_88_6
% 103.17/15.19 | | | | | | | | | | | | | | | | | | | |
% 103.17/15.19 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (14) with all_87_6, all_101_6,
% 103.17/15.19 | | | | | | | | | | | | | | | | | | | | all_39_10, simplifying with (493), (568) gives:
% 103.17/15.19 | | | | | | | | | | | | | | | | | | | | (612) all_101_6 = all_87_6
% 103.17/15.19 | | | | | | | | | | | | | | | | | | | |
% 103.17/15.19 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (14) with all_95_5, all_97_6,
% 103.17/15.19 | | | | | | | | | | | | | | | | | | | | all_39_8, simplifying with (389), (474) gives:
% 103.17/15.19 | | | | | | | | | | | | | | | | | | | | (613) all_97_6 = all_95_5
% 103.17/15.19 | | | | | | | | | | | | | | | | | | | |
% 103.17/15.19 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (14) with all_97_6, all_98_6,
% 103.17/15.19 | | | | | | | | | | | | | | | | | | | | all_39_8, simplifying with (474), (537) gives:
% 103.17/15.19 | | | | | | | | | | | | | | | | | | | | (614) all_98_6 = all_97_6
% 103.17/15.19 | | | | | | | | | | | | | | | | | | | |
% 103.17/15.19 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (14) with all_39_5, all_105_6,
% 103.17/15.19 | | | | | | | | | | | | | | | | | | | | all_39_8, simplifying with (36), (585) gives:
% 103.17/15.19 | | | | | | | | | | | | | | | | | | | | (615) all_105_6 = all_39_5
% 103.17/15.19 | | | | | | | | | | | | | | | | | | | |
% 103.17/15.19 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (14) with all_98_6, all_105_6,
% 103.17/15.19 | | | | | | | | | | | | | | | | | | | | all_39_8, simplifying with (537), (585) gives:
% 103.17/15.19 | | | | | | | | | | | | | | | | | | | | (616) all_105_6 = all_98_6
% 103.17/15.19 | | | | | | | | | | | | | | | | | | | |
% 103.17/15.19 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (16) with all_90_3, all_93_3,
% 103.17/15.19 | | | | | | | | | | | | | | | | | | | | all_39_5, simplifying with (373), (515) gives:
% 103.17/15.19 | | | | | | | | | | | | | | | | | | | | (617) all_93_3 = all_90_3
% 103.17/15.19 | | | | | | | | | | | | | | | | | | | |
% 103.17/15.19 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (16) with all_130_3, all_145_2,
% 103.17/15.19 | | | | | | | | | | | | | | | | | | | | all_39_5, simplifying with (354), (355) gives:
% 103.17/15.19 | | | | | | | | | | | | | | | | | | | | (618) all_145_2 = all_130_3
% 103.17/15.19 | | | | | | | | | | | | | | | | | | | |
% 103.17/15.19 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (16) with all_130_3, all_154_3,
% 103.17/15.19 | | | | | | | | | | | | | | | | | | | | all_39_5, simplifying with (353), (355) gives:
% 103.17/15.19 | | | | | | | | | | | | | | | | | | | | (619) all_154_3 = all_130_3
% 103.17/15.19 | | | | | | | | | | | | | | | | | | | |
% 103.17/15.19 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (16) with all_93_3, all_154_3,
% 103.17/15.19 | | | | | | | | | | | | | | | | | | | | all_39_5, simplifying with (353), (515) gives:
% 103.17/15.19 | | | | | | | | | | | | | | | | | | | | (620) all_154_3 = all_93_3
% 103.17/15.19 | | | | | | | | | | | | | | | | | | | |
% 103.17/15.19 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (16) with all_91_3, all_154_3,
% 103.17/15.19 | | | | | | | | | | | | | | | | | | | | all_39_5, simplifying with (353), (483) gives:
% 103.17/15.19 | | | | | | | | | | | | | | | | | | | | (621) all_154_3 = all_91_3
% 103.17/15.19 | | | | | | | | | | | | | | | | | | | |
% 103.17/15.19 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (16) with all_39_3, all_162_3,
% 103.17/15.19 | | | | | | | | | | | | | | | | | | | | all_39_5, simplifying with (45), (352) gives:
% 103.17/15.19 | | | | | | | | | | | | | | | | | | | | (622) all_162_3 = all_39_3
% 103.17/15.19 | | | | | | | | | | | | | | | | | | | |
% 103.17/15.19 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (16) with all_145_2, all_162_3,
% 103.17/15.19 | | | | | | | | | | | | | | | | | | | | all_39_5, simplifying with (352), (354) gives:
% 103.17/15.19 | | | | | | | | | | | | | | | | | | | | (623) all_162_3 = all_145_2
% 103.17/15.19 | | | | | | | | | | | | | | | | | | | |
% 103.17/15.19 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (19) with all_145_4, all_150_5,
% 103.17/15.19 | | | | | | | | | | | | | | | | | | | | all_39_5, all_39_9, simplifying with (350), (351)
% 103.17/15.19 | | | | | | | | | | | | | | | | | | | | gives:
% 103.17/15.19 | | | | | | | | | | | | | | | | | | | | (624) all_150_5 = all_145_4
% 103.17/15.19 | | | | | | | | | | | | | | | | | | | |
% 103.17/15.19 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (19) with all_90_5, all_150_5,
% 103.17/15.19 | | | | | | | | | | | | | | | | | | | | all_39_5, all_39_9, simplifying with (351), (374)
% 103.17/15.19 | | | | | | | | | | | | | | | | | | | | gives:
% 103.17/15.19 | | | | | | | | | | | | | | | | | | | | (625) all_150_5 = all_90_5
% 103.17/15.19 | | | | | | | | | | | | | | | | | | | |
% 103.17/15.19 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (19) with all_39_4, all_154_5,
% 103.17/15.19 | | | | | | | | | | | | | | | | | | | | all_39_5, all_39_9, simplifying with (46), (349)
% 103.17/15.19 | | | | | | | | | | | | | | | | | | | | gives:
% 103.17/15.19 | | | | | | | | | | | | | | | | | | | | (626) all_154_5 = all_39_4
% 103.17/15.19 | | | | | | | | | | | | | | | | | | | |
% 103.17/15.19 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (19) with all_145_4, all_154_5,
% 103.17/15.19 | | | | | | | | | | | | | | | | | | | | all_39_5, all_39_9, simplifying with (349), (350)
% 103.17/15.19 | | | | | | | | | | | | | | | | | | | | gives:
% 103.17/15.19 | | | | | | | | | | | | | | | | | | | | (627) all_154_5 = all_145_4
% 103.17/15.19 | | | | | | | | | | | | | | | | | | | |
% 103.17/15.19 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (23) with 0, all_364_2, all_39_0,
% 103.17/15.19 | | | | | | | | | | | | | | | | | | | | all_39_2, all_39_7, simplifying with (47), (603)
% 103.17/15.19 | | | | | | | | | | | | | | | | | | | | gives:
% 103.17/15.19 | | | | | | | | | | | | | | | | | | | | (628) all_364_2 = 0
% 103.17/15.19 | | | | | | | | | | | | | | | | | | | |
% 103.17/15.19 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (20) with all_356_1, all_364_1,
% 103.17/15.19 | | | | | | | | | | | | | | | | | | | | all_39_0, all_39_2, simplifying with (600), (604)
% 103.17/15.19 | | | | | | | | | | | | | | | | | | | | gives:
% 103.17/15.19 | | | | | | | | | | | | | | | | | | | | (629) all_364_1 = all_356_1
% 103.17/15.19 | | | | | | | | | | | | | | | | | | | |
% 103.17/15.19 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (21) with all_39_7, all_105_1,
% 103.17/15.19 | | | | | | | | | | | | | | | | | | | | all_39_8, all_39_10, simplifying with (48), (589)
% 103.17/15.19 | | | | | | | | | | | | | | | | | | | | gives:
% 103.17/15.19 | | | | | | | | | | | | | | | | | | | | (630) all_105_1 = all_39_7
% 103.17/15.19 | | | | | | | | | | | | | | | | | | | |
% 103.17/15.19 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (21) with all_90_1, all_105_1,
% 103.17/15.19 | | | | | | | | | | | | | | | | | | | | all_39_8, all_39_10, simplifying with (375), (589)
% 103.17/15.19 | | | | | | | | | | | | | | | | | | | | gives:
% 103.17/15.19 | | | | | | | | | | | | | | | | | | | | (631) all_105_1 = all_90_1
% 103.17/15.19 | | | | | | | | | | | | | | | | | | | |
% 103.17/15.19 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (622), (623) imply:
% 103.17/15.19 | | | | | | | | | | | | | | | | | | | | (632) all_145_2 = all_39_3
% 103.17/15.19 | | | | | | | | | | | | | | | | | | | |
% 103.17/15.19 | | | | | | | | | | | | | | | | | | | | SIMP: (632) implies:
% 103.17/15.19 | | | | | | | | | | | | | | | | | | | | (633) all_145_2 = all_39_3
% 103.17/15.19 | | | | | | | | | | | | | | | | | | | |
% 103.17/15.19 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (608), (609) imply:
% 103.17/15.19 | | | | | | | | | | | | | | | | | | | | (634) all_150_0 = all_95_0
% 103.17/15.19 | | | | | | | | | | | | | | | | | | | |
% 103.17/15.19 | | | | | | | | | | | | | | | | | | | | SIMP: (634) implies:
% 103.17/15.19 | | | | | | | | | | | | | | | | | | | | (635) all_150_0 = all_95_0
% 103.17/15.19 | | | | | | | | | | | | | | | | | | | |
% 103.17/15.19 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (620), (621) imply:
% 103.17/15.19 | | | | | | | | | | | | | | | | | | | | (636) all_93_3 = all_91_3
% 103.17/15.19 | | | | | | | | | | | | | | | | | | | |
% 103.17/15.19 | | | | | | | | | | | | | | | | | | | | SIMP: (636) implies:
% 103.17/15.19 | | | | | | | | | | | | | | | | | | | | (637) all_93_3 = all_91_3
% 103.17/15.19 | | | | | | | | | | | | | | | | | | | |
% 103.17/15.19 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (619), (621) imply:
% 103.17/15.19 | | | | | | | | | | | | | | | | | | | | (638) all_130_3 = all_91_3
% 103.17/15.19 | | | | | | | | | | | | | | | | | | | |
% 103.17/15.19 | | | | | | | | | | | | | | | | | | | | SIMP: (638) implies:
% 103.17/15.19 | | | | | | | | | | | | | | | | | | | | (639) all_130_3 = all_91_3
% 103.17/15.19 | | | | | | | | | | | | | | | | | | | |
% 103.17/15.19 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (626), (627) imply:
% 103.17/15.19 | | | | | | | | | | | | | | | | | | | | (640) all_145_4 = all_39_4
% 103.17/15.19 | | | | | | | | | | | | | | | | | | | |
% 103.17/15.19 | | | | | | | | | | | | | | | | | | | | SIMP: (640) implies:
% 103.17/15.19 | | | | | | | | | | | | | | | | | | | | (641) all_145_4 = all_39_4
% 103.17/15.19 | | | | | | | | | | | | | | | | | | | |
% 103.17/15.19 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (607), (635) imply:
% 103.17/15.19 | | | | | | | | | | | | | | | | | | | | (642) all_95_0 = all_71_1
% 103.17/15.19 | | | | | | | | | | | | | | | | | | | |
% 103.17/15.19 | | | | | | | | | | | | | | | | | | | | SIMP: (642) implies:
% 103.17/15.19 | | | | | | | | | | | | | | | | | | | | (643) all_95_0 = all_71_1
% 103.17/15.19 | | | | | | | | | | | | | | | | | | | |
% 103.17/15.19 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (624), (625) imply:
% 103.17/15.19 | | | | | | | | | | | | | | | | | | | | (644) all_145_4 = all_90_5
% 103.17/15.19 | | | | | | | | | | | | | | | | | | | |
% 103.17/15.19 | | | | | | | | | | | | | | | | | | | | SIMP: (644) implies:
% 103.17/15.19 | | | | | | | | | | | | | | | | | | | | (645) all_145_4 = all_90_5
% 103.17/15.19 | | | | | | | | | | | | | | | | | | | |
% 103.17/15.19 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (618), (633) imply:
% 103.17/15.19 | | | | | | | | | | | | | | | | | | | | (646) all_130_3 = all_39_3
% 103.17/15.19 | | | | | | | | | | | | | | | | | | | |
% 103.17/15.19 | | | | | | | | | | | | | | | | | | | | SIMP: (646) implies:
% 103.17/15.19 | | | | | | | | | | | | | | | | | | | | (647) all_130_3 = all_39_3
% 103.17/15.19 | | | | | | | | | | | | | | | | | | | |
% 103.17/15.19 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (641), (645) imply:
% 103.17/15.19 | | | | | | | | | | | | | | | | | | | | (648) all_90_5 = all_39_4
% 103.17/15.19 | | | | | | | | | | | | | | | | | | | |
% 103.17/15.19 | | | | | | | | | | | | | | | | | | | | SIMP: (648) implies:
% 103.17/15.19 | | | | | | | | | | | | | | | | | | | | (649) all_90_5 = all_39_4
% 103.17/15.19 | | | | | | | | | | | | | | | | | | | |
% 103.17/15.19 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (639), (647) imply:
% 103.17/15.19 | | | | | | | | | | | | | | | | | | | | (650) all_91_3 = all_39_3
% 103.17/15.19 | | | | | | | | | | | | | | | | | | | |
% 103.17/15.19 | | | | | | | | | | | | | | | | | | | | SIMP: (650) implies:
% 103.17/15.19 | | | | | | | | | | | | | | | | | | | | (651) all_91_3 = all_39_3
% 103.17/15.19 | | | | | | | | | | | | | | | | | | | |
% 103.17/15.19 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (630), (631) imply:
% 103.17/15.19 | | | | | | | | | | | | | | | | | | | | (652) all_90_1 = all_39_7
% 103.17/15.19 | | | | | | | | | | | | | | | | | | | |
% 103.17/15.19 | | | | | | | | | | | | | | | | | | | | SIMP: (652) implies:
% 103.17/15.19 | | | | | | | | | | | | | | | | | | | | (653) all_90_1 = all_39_7
% 103.17/15.19 | | | | | | | | | | | | | | | | | | | |
% 103.17/15.19 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (615), (616) imply:
% 103.17/15.19 | | | | | | | | | | | | | | | | | | | | (654) all_98_6 = all_39_5
% 103.17/15.19 | | | | | | | | | | | | | | | | | | | |
% 103.17/15.19 | | | | | | | | | | | | | | | | | | | | SIMP: (654) implies:
% 103.17/15.19 | | | | | | | | | | | | | | | | | | | | (655) all_98_6 = all_39_5
% 103.17/15.19 | | | | | | | | | | | | | | | | | | | |
% 103.17/15.19 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (610), (611) imply:
% 103.17/15.19 | | | | | | | | | | | | | | | | | | | | (656) all_88_6 = all_39_9
% 103.17/15.19 | | | | | | | | | | | | | | | | | | | |
% 103.17/15.19 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (611), (612) imply:
% 103.17/15.19 | | | | | | | | | | | | | | | | | | | | (657) all_88_6 = all_87_6
% 103.17/15.19 | | | | | | | | | | | | | | | | | | | |
% 103.17/15.19 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (614), (655) imply:
% 103.17/15.19 | | | | | | | | | | | | | | | | | | | | (658) all_97_6 = all_39_5
% 103.17/15.19 | | | | | | | | | | | | | | | | | | | |
% 103.17/15.19 | | | | | | | | | | | | | | | | | | | | SIMP: (658) implies:
% 103.17/15.19 | | | | | | | | | | | | | | | | | | | | (659) all_97_6 = all_39_5
% 103.17/15.19 | | | | | | | | | | | | | | | | | | | |
% 103.17/15.19 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (613), (659) imply:
% 103.17/15.19 | | | | | | | | | | | | | | | | | | | | (660) all_95_5 = all_39_5
% 103.17/15.19 | | | | | | | | | | | | | | | | | | | |
% 103.17/15.19 | | | | | | | | | | | | | | | | | | | | SIMP: (660) implies:
% 103.17/15.19 | | | | | | | | | | | | | | | | | | | | (661) all_95_5 = all_39_5
% 103.17/15.19 | | | | | | | | | | | | | | | | | | | |
% 103.17/15.19 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (617), (637) imply:
% 103.17/15.19 | | | | | | | | | | | | | | | | | | | | (662) all_91_3 = all_90_3
% 103.17/15.19 | | | | | | | | | | | | | | | | | | | |
% 103.17/15.19 | | | | | | | | | | | | | | | | | | | | SIMP: (662) implies:
% 103.17/15.19 | | | | | | | | | | | | | | | | | | | | (663) all_91_3 = all_90_3
% 103.17/15.19 | | | | | | | | | | | | | | | | | | | |
% 103.17/15.19 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (651), (663) imply:
% 103.17/15.19 | | | | | | | | | | | | | | | | | | | | (664) all_90_3 = all_39_3
% 103.17/15.19 | | | | | | | | | | | | | | | | | | | |
% 103.17/15.19 | | | | | | | | | | | | | | | | | | | | SIMP: (664) implies:
% 103.17/15.19 | | | | | | | | | | | | | | | | | | | | (665) all_90_3 = all_39_3
% 103.17/15.19 | | | | | | | | | | | | | | | | | | | |
% 103.17/15.19 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (656), (657) imply:
% 103.17/15.19 | | | | | | | | | | | | | | | | | | | | (666) all_87_6 = all_39_9
% 103.17/15.19 | | | | | | | | | | | | | | | | | | | |
% 103.17/15.19 | | | | | | | | | | | | | | | | | | | | SIMP: (666) implies:
% 103.17/15.19 | | | | | | | | | | | | | | | | | | | | (667) all_87_6 = all_39_9
% 103.17/15.19 | | | | | | | | | | | | | | | | | | | |
% 103.17/15.19 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (625), (649) imply:
% 103.17/15.19 | | | | | | | | | | | | | | | | | | | | (668) all_150_5 = all_39_4
% 103.17/15.19 | | | | | | | | | | | | | | | | | | | |
% 103.17/15.19 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (621), (651) imply:
% 103.17/15.19 | | | | | | | | | | | | | | | | | | | | (669) all_154_3 = all_39_3
% 103.17/15.19 | | | | | | | | | | | | | | | | | | | |
% 103.17/15.19 | | | | | | | | | | | | | | | | | | | | REDUCE: (209), (626) imply:
% 103.17/15.19 | | | | | | | | | | | | | | | | | | | | (670) v12_waybel_0(all_39_4, all_39_8) = all_154_4
% 103.17/15.19 | | | | | | | | | | | | | | | | | | | |
% 103.17/15.19 | | | | | | | | | | | | | | | | | | | | REDUCE: (199), (668) imply:
% 103.17/15.19 | | | | | | | | | | | | | | | | | | | | (671) v12_waybel_0(all_39_4, all_39_8) = all_150_4
% 103.17/15.19 | | | | | | | | | | | | | | | | | | | |
% 103.17/15.19 | | | | | | | | | | | | | | | | | | | | REDUCE: (191), (641) imply:
% 103.17/15.19 | | | | | | | | | | | | | | | | | | | | (672) v12_waybel_0(all_39_4, all_39_8) = all_145_3
% 103.17/15.19 | | | | | | | | | | | | | | | | | | | |
% 103.17/15.19 | | | | | | | | | | | | | | | | | | | | REDUCE: (376), (649) imply:
% 103.17/15.19 | | | | | | | | | | | | | | | | | | | | (673) v12_waybel_0(all_39_4, all_39_8) = all_90_4
% 103.17/15.19 | | | | | | | | | | | | | | | | | | | |
% 103.17/15.19 | | | | | | | | | | | | | | | | | | | | REDUCE: (588), (615) imply:
% 103.17/15.19 | | | | | | | | | | | | | | | | | | | | (674) k3_xboole_0(all_39_9, all_39_5) = all_105_5
% 103.17/15.19 | | | | | | | | | | | | | | | | | | | |
% 103.17/15.19 | | | | | | | | | | | | | | | | | | | | REDUCE: (393), (661) imply:
% 103.17/15.19 | | | | | | | | | | | | | | | | | | | | (675) k3_xboole_0(all_39_9, all_39_5) = all_95_4
% 103.17/15.19 | | | | | | | | | | | | | | | | | | | |
% 103.17/15.19 | | | | | | | | | | | | | | | | | | | | REDUCE: (587), (615) imply:
% 103.17/15.19 | | | | | | | | | | | | | | | | | | | | (676) k1_zfmisc_1(all_39_5) = all_105_3
% 103.17/15.19 | | | | | | | | | | | | | | | | | | | |
% 103.17/15.19 | | | | | | | | | | | | | | | | | | | | REDUCE: (538), (655) imply:
% 103.17/15.19 | | | | | | | | | | | | | | | | | | | | (677) k1_zfmisc_1(all_39_5) = all_98_3
% 103.17/15.19 | | | | | | | | | | | | | | | | | | | |
% 103.17/15.19 | | | | | | | | | | | | | | | | | | | | REDUCE: (475), (659) imply:
% 103.17/15.19 | | | | | | | | | | | | | | | | | | | | (678) k1_zfmisc_1(all_39_5) = all_97_3
% 103.17/15.19 | | | | | | | | | | | | | | | | | | | |
% 103.17/15.19 | | | | | | | | | | | | | | | | | | | | REDUCE: (392), (661) imply:
% 103.17/15.19 | | | | | | | | | | | | | | | | | | | | (679) k1_zfmisc_1(all_39_5) = all_95_2
% 103.17/15.19 | | | | | | | | | | | | | | | | | | | |
% 103.17/15.19 | | | | | | | | | | | | | | | | | | | | REDUCE: (205), (626), (669) imply:
% 103.17/15.19 | | | | | | | | | | | | | | | | | | | | (680) m1_subset_1(all_39_4, all_39_3) = all_154_2
% 103.17/15.19 | | | | | | | | | | | | | | | | | | | |
% 103.17/15.19 | | | | | | | | | | | | | | | | | | | | REDUCE: (356), (668) imply:
% 103.17/15.19 | | | | | | | | | | | | | | | | | | | | (681) m1_subset_1(all_39_4, all_39_3) = all_150_2
% 103.17/15.19 | | | | | | | | | | | | | | | | | | | |
% 103.17/15.19 | | | | | | | | | | | | | | | | | | | | REDUCE: (188), (633), (641) imply:
% 103.17/15.19 | | | | | | | | | | | | | | | | | | | | (682) m1_subset_1(all_39_4, all_39_3) = all_145_1
% 103.17/15.19 | | | | | | | | | | | | | | | | | | | |
% 103.17/15.19 | | | | | | | | | | | | | | | | | | | | REDUCE: (372), (649), (665) imply:
% 103.17/15.19 | | | | | | | | | | | | | | | | | | | | (683) m1_subset_1(all_39_4, all_39_3) = all_90_2
% 103.17/15.19 | | | | | | | | | | | | | | | | | | | |
% 103.17/15.19 | | | | | | | | | | | | | | | | | | | | REDUCE: (606), (629) imply:
% 103.17/15.19 | | | | | | | | | | | | | | | | | | | | (684) r2_hidden(all_356_1, all_71_1) = all_364_0
% 103.17/15.19 | | | | | | | | | | | | | | | | | | | |
% 103.17/15.19 | | | | | | | | | | | | | | | | | | | | REDUCE: (584), (630) imply:
% 103.17/15.19 | | | | | | | | | | | | | | | | | | | | (685) u1_orders_2(all_39_7) = all_105_0
% 103.17/15.19 | | | | | | | | | | | | | | | | | | | |
% 103.17/15.19 | | | | | | | | | | | | | | | | | | | | REDUCE: (370), (653) imply:
% 103.17/15.19 | | | | | | | | | | | | | | | | | | | | (686) u1_orders_2(all_39_7) = all_90_0
% 103.17/15.19 | | | | | | | | | | | | | | | | | | | |
% 103.17/15.19 | | | | | | | | | | | | | | | | | | | | BETA: splitting (605) gives:
% 103.17/15.19 | | | | | | | | | | | | | | | | | | | |
% 103.17/15.19 | | | | | | | | | | | | | | | | | | | | Case 1:
% 103.17/15.19 | | | | | | | | | | | | | | | | | | | | |
% 103.17/15.19 | | | | | | | | | | | | | | | | | | | | | (687) ~ (all_364_2 = 0)
% 103.17/15.19 | | | | | | | | | | | | | | | | | | | | |
% 103.17/15.19 | | | | | | | | | | | | | | | | | | | | | REDUCE: (628), (687) imply:
% 103.17/15.19 | | | | | | | | | | | | | | | | | | | | | (688) $false
% 103.17/15.19 | | | | | | | | | | | | | | | | | | | | |
% 103.17/15.19 | | | | | | | | | | | | | | | | | | | | | CLOSE: (688) is inconsistent.
% 103.17/15.19 | | | | | | | | | | | | | | | | | | | | |
% 103.17/15.19 | | | | | | | | | | | | | | | | | | | | Case 2:
% 103.17/15.19 | | | | | | | | | | | | | | | | | | | | |
% 103.17/15.19 | | | | | | | | | | | | | | | | | | | | | (689) all_364_0 = 0
% 103.17/15.19 | | | | | | | | | | | | | | | | | | | | |
% 103.17/15.19 | | | | | | | | | | | | | | | | | | | | | REDUCE: (684), (689) imply:
% 103.17/15.19 | | | | | | | | | | | | | | | | | | | | | (690) r2_hidden(all_356_1, all_71_1) = 0
% 103.17/15.19 | | | | | | | | | | | | | | | | | | | | |
% 103.17/15.19 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (13) with all_71_1, all_105_0,
% 103.17/15.19 | | | | | | | | | | | | | | | | | | | | | all_39_7, simplifying with (98), (685) gives:
% 103.17/15.19 | | | | | | | | | | | | | | | | | | | | | (691) all_105_0 = all_71_1
% 103.17/15.19 | | | | | | | | | | | | | | | | | | | | |
% 103.17/15.19 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (13) with all_90_0, all_105_0,
% 103.17/15.19 | | | | | | | | | | | | | | | | | | | | | all_39_7, simplifying with (685), (686) gives:
% 103.17/15.19 | | | | | | | | | | | | | | | | | | | | | (692) all_105_0 = all_90_0
% 103.17/15.19 | | | | | | | | | | | | | | | | | | | | |
% 103.17/15.19 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (18) with 0, all_145_1, all_39_3,
% 103.17/15.19 | | | | | | | | | | | | | | | | | | | | | all_39_4, simplifying with (42), (682) gives:
% 103.17/15.19 | | | | | | | | | | | | | | | | | | | | | (693) all_145_1 = 0
% 103.17/15.19 | | | | | | | | | | | | | | | | | | | | |
% 103.17/15.19 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (18) with all_145_1, all_150_2,
% 103.17/15.19 | | | | | | | | | | | | | | | | | | | | | all_39_3, all_39_4, simplifying with (681), (682)
% 103.17/15.19 | | | | | | | | | | | | | | | | | | | | | gives:
% 103.17/15.19 | | | | | | | | | | | | | | | | | | | | | (694) all_150_2 = all_145_1
% 103.17/15.19 | | | | | | | | | | | | | | | | | | | | |
% 103.17/15.19 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (18) with all_150_2, all_154_2,
% 103.17/15.19 | | | | | | | | | | | | | | | | | | | | | all_39_3, all_39_4, simplifying with (680), (681)
% 103.17/15.19 | | | | | | | | | | | | | | | | | | | | | gives:
% 103.17/15.19 | | | | | | | | | | | | | | | | | | | | | (695) all_154_2 = all_150_2
% 103.17/15.19 | | | | | | | | | | | | | | | | | | | | |
% 103.17/15.19 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (18) with all_90_2, all_154_2,
% 103.17/15.19 | | | | | | | | | | | | | | | | | | | | | all_39_3, all_39_4, simplifying with (680), (683)
% 103.17/15.19 | | | | | | | | | | | | | | | | | | | | | gives:
% 103.17/15.19 | | | | | | | | | | | | | | | | | | | | | (696) all_154_2 = all_90_2
% 103.17/15.19 | | | | | | | | | | | | | | | | | | | | |
% 103.17/15.19 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (16) with all_39_3, all_98_3,
% 103.17/15.19 | | | | | | | | | | | | | | | | | | | | | all_39_5, simplifying with (45), (677) gives:
% 103.17/15.19 | | | | | | | | | | | | | | | | | | | | | (697) all_98_3 = all_39_3
% 103.17/15.19 | | | | | | | | | | | | | | | | | | | | |
% 103.17/15.19 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (16) with all_97_3, all_98_3,
% 103.17/15.19 | | | | | | | | | | | | | | | | | | | | | all_39_5, simplifying with (677), (678) gives:
% 103.17/15.19 | | | | | | | | | | | | | | | | | | | | | (698) all_98_3 = all_97_3
% 103.17/15.19 | | | | | | | | | | | | | | | | | | | | |
% 103.17/15.19 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (16) with all_97_3, all_105_3,
% 103.17/15.19 | | | | | | | | | | | | | | | | | | | | | all_39_5, simplifying with (676), (678) gives:
% 103.17/15.19 | | | | | | | | | | | | | | | | | | | | | (699) all_105_3 = all_97_3
% 103.17/15.19 | | | | | | | | | | | | | | | | | | | | |
% 103.17/15.19 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (16) with all_95_2, all_105_3,
% 103.17/15.19 | | | | | | | | | | | | | | | | | | | | | all_39_5, simplifying with (676), (679) gives:
% 103.17/15.19 | | | | | | | | | | | | | | | | | | | | | (700) all_105_3 = all_95_2
% 103.17/15.19 | | | | | | | | | | | | | | | | | | | | |
% 103.17/15.19 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (19) with all_39_4, all_105_5,
% 103.17/15.19 | | | | | | | | | | | | | | | | | | | | | all_39_5, all_39_9, simplifying with (46), (674)
% 103.17/15.19 | | | | | | | | | | | | | | | | | | | | | gives:
% 103.17/15.19 | | | | | | | | | | | | | | | | | | | | | (701) all_105_5 = all_39_4
% 103.17/15.19 | | | | | | | | | | | | | | | | | | | | |
% 103.17/15.19 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (19) with all_95_4, all_105_5,
% 103.17/15.19 | | | | | | | | | | | | | | | | | | | | | all_39_5, all_39_9, simplifying with (674), (675)
% 103.17/15.19 | | | | | | | | | | | | | | | | | | | | | gives:
% 103.17/15.19 | | | | | | | | | | | | | | | | | | | | | (702) all_105_5 = all_95_4
% 103.17/15.19 | | | | | | | | | | | | | | | | | | | | |
% 103.17/15.19 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (22) with 0, all_145_3, all_39_8,
% 103.17/15.19 | | | | | | | | | | | | | | | | | | | | | all_39_4, simplifying with (49), (672) gives:
% 103.17/15.19 | | | | | | | | | | | | | | | | | | | | | (703) all_145_3 = 0
% 103.17/15.19 | | | | | | | | | | | | | | | | | | | | |
% 103.17/15.19 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (22) with all_150_4, all_154_4,
% 103.17/15.19 | | | | | | | | | | | | | | | | | | | | | all_39_8, all_39_4, simplifying with (670), (671)
% 103.17/15.19 | | | | | | | | | | | | | | | | | | | | | gives:
% 103.17/15.19 | | | | | | | | | | | | | | | | | | | | | (704) all_154_4 = all_150_4
% 103.17/15.19 | | | | | | | | | | | | | | | | | | | | |
% 103.17/15.19 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (22) with all_145_3, all_154_4,
% 103.17/15.19 | | | | | | | | | | | | | | | | | | | | | all_39_8, all_39_4, simplifying with (670), (672)
% 103.17/15.19 | | | | | | | | | | | | | | | | | | | | | gives:
% 103.17/15.19 | | | | | | | | | | | | | | | | | | | | | (705) all_154_4 = all_145_3
% 103.17/15.19 | | | | | | | | | | | | | | | | | | | | |
% 103.17/15.19 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (22) with all_90_4, all_154_4,
% 103.17/15.19 | | | | | | | | | | | | | | | | | | | | | all_39_8, all_39_4, simplifying with (670), (673)
% 103.17/15.19 | | | | | | | | | | | | | | | | | | | | | gives:
% 103.17/15.19 | | | | | | | | | | | | | | | | | | | | | (706) all_154_4 = all_90_4
% 103.17/15.19 | | | | | | | | | | | | | | | | | | | | |
% 103.17/15.19 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (695), (696) imply:
% 103.17/15.19 | | | | | | | | | | | | | | | | | | | | | (707) all_150_2 = all_90_2
% 103.17/15.19 | | | | | | | | | | | | | | | | | | | | |
% 103.17/15.19 | | | | | | | | | | | | | | | | | | | | | SIMP: (707) implies:
% 103.17/15.19 | | | | | | | | | | | | | | | | | | | | | (708) all_150_2 = all_90_2
% 103.17/15.19 | | | | | | | | | | | | | | | | | | | | |
% 103.17/15.19 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (704), (706) imply:
% 103.17/15.20 | | | | | | | | | | | | | | | | | | | | | (709) all_150_4 = all_90_4
% 103.17/15.20 | | | | | | | | | | | | | | | | | | | | |
% 103.17/15.20 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (704), (705) imply:
% 103.17/15.20 | | | | | | | | | | | | | | | | | | | | | (710) all_150_4 = all_145_3
% 103.17/15.20 | | | | | | | | | | | | | | | | | | | | |
% 103.17/15.20 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (694), (708) imply:
% 103.17/15.20 | | | | | | | | | | | | | | | | | | | | | (711) all_145_1 = all_90_2
% 103.17/15.20 | | | | | | | | | | | | | | | | | | | | |
% 103.17/15.20 | | | | | | | | | | | | | | | | | | | | | SIMP: (711) implies:
% 103.17/15.20 | | | | | | | | | | | | | | | | | | | | | (712) all_145_1 = all_90_2
% 103.17/15.20 | | | | | | | | | | | | | | | | | | | | |
% 103.17/15.20 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (709), (710) imply:
% 103.17/15.20 | | | | | | | | | | | | | | | | | | | | | (713) all_145_3 = all_90_4
% 103.17/15.20 | | | | | | | | | | | | | | | | | | | | |
% 103.17/15.20 | | | | | | | | | | | | | | | | | | | | | SIMP: (713) implies:
% 103.17/15.20 | | | | | | | | | | | | | | | | | | | | | (714) all_145_3 = all_90_4
% 103.17/15.20 | | | | | | | | | | | | | | | | | | | | |
% 103.17/15.20 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (693), (712) imply:
% 103.17/15.20 | | | | | | | | | | | | | | | | | | | | | (715) all_90_2 = 0
% 103.17/15.20 | | | | | | | | | | | | | | | | | | | | |
% 103.17/15.20 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (703), (714) imply:
% 103.17/15.20 | | | | | | | | | | | | | | | | | | | | | (716) all_90_4 = 0
% 103.17/15.20 | | | | | | | | | | | | | | | | | | | | |
% 103.17/15.20 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (691), (692) imply:
% 103.17/15.20 | | | | | | | | | | | | | | | | | | | | | (717) all_90_0 = all_71_1
% 103.17/15.20 | | | | | | | | | | | | | | | | | | | | |
% 103.17/15.20 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (699), (700) imply:
% 103.17/15.20 | | | | | | | | | | | | | | | | | | | | | (718) all_97_3 = all_95_2
% 103.17/15.20 | | | | | | | | | | | | | | | | | | | | |
% 103.17/15.20 | | | | | | | | | | | | | | | | | | | | | SIMP: (718) implies:
% 103.17/15.20 | | | | | | | | | | | | | | | | | | | | | (719) all_97_3 = all_95_2
% 103.17/15.20 | | | | | | | | | | | | | | | | | | | | |
% 103.17/15.20 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (701), (702) imply:
% 103.17/15.20 | | | | | | | | | | | | | | | | | | | | | (720) all_95_4 = all_39_4
% 103.17/15.20 | | | | | | | | | | | | | | | | | | | | |
% 103.17/15.20 | | | | | | | | | | | | | | | | | | | | | SIMP: (720) implies:
% 103.17/15.20 | | | | | | | | | | | | | | | | | | | | | (721) all_95_4 = all_39_4
% 103.17/15.20 | | | | | | | | | | | | | | | | | | | | |
% 103.17/15.20 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (697), (698) imply:
% 103.17/15.20 | | | | | | | | | | | | | | | | | | | | | (722) all_97_3 = all_39_3
% 103.17/15.20 | | | | | | | | | | | | | | | | | | | | |
% 103.17/15.20 | | | | | | | | | | | | | | | | | | | | | SIMP: (722) implies:
% 103.17/15.20 | | | | | | | | | | | | | | | | | | | | | (723) all_97_3 = all_39_3
% 103.17/15.20 | | | | | | | | | | | | | | | | | | | | |
% 103.17/15.20 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (719), (723) imply:
% 103.17/15.20 | | | | | | | | | | | | | | | | | | | | | (724) all_95_2 = all_39_3
% 103.17/15.20 | | | | | | | | | | | | | | | | | | | | |
% 103.17/15.20 | | | | | | | | | | | | | | | | | | | | | SIMP: (724) implies:
% 103.17/15.20 | | | | | | | | | | | | | | | | | | | | | (725) all_95_2 = all_39_3
% 103.17/15.20 | | | | | | | | | | | | | | | | | | | | |
% 103.17/15.20 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (700), (725) imply:
% 103.17/15.20 | | | | | | | | | | | | | | | | | | | | | (726) all_105_3 = all_39_3
% 103.17/15.20 | | | | | | | | | | | | | | | | | | | | |
% 103.17/15.20 | | | | | | | | | | | | | | | | | | | | | REDUCE: (590), (701) imply:
% 103.17/15.20 | | | | | | | | | | | | | | | | | | | | | (727) v12_waybel_0(all_39_4, all_39_8) = all_105_4
% 103.17/15.20 | | | | | | | | | | | | | | | | | | | | |
% 103.17/15.20 | | | | | | | | | | | | | | | | | | | | | REDUCE: (394), (721) imply:
% 103.17/15.20 | | | | | | | | | | | | | | | | | | | | | (728) v12_waybel_0(all_39_4, all_39_8) = all_95_3
% 103.17/15.20 | | | | | | | | | | | | | | | | | | | | |
% 103.17/15.20 | | | | | | | | | | | | | | | | | | | | | REDUCE: (586), (701), (726) imply:
% 103.17/15.20 | | | | | | | | | | | | | | | | | | | | | (729) m1_subset_1(all_39_4, all_39_3) = all_105_2
% 103.17/15.20 | | | | | | | | | | | | | | | | | | | | |
% 103.17/15.20 | | | | | | | | | | | | | | | | | | | | | REDUCE: (391), (721), (725) imply:
% 103.17/15.20 | | | | | | | | | | | | | | | | | | | | | (730) m1_subset_1(all_39_4, all_39_3) = all_95_1
% 103.17/15.20 | | | | | | | | | | | | | | | | | | | | |
% 103.17/15.20 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (18) with 0, all_105_2, all_39_3,
% 103.17/15.20 | | | | | | | | | | | | | | | | | | | | | all_39_4, simplifying with (42), (729) gives:
% 103.17/15.20 | | | | | | | | | | | | | | | | | | | | | (731) all_105_2 = 0
% 103.17/15.20 | | | | | | | | | | | | | | | | | | | | |
% 103.17/15.20 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (18) with all_95_1, all_105_2,
% 103.17/15.20 | | | | | | | | | | | | | | | | | | | | | all_39_3, all_39_4, simplifying with (729), (730)
% 103.17/15.20 | | | | | | | | | | | | | | | | | | | | | gives:
% 103.17/15.20 | | | | | | | | | | | | | | | | | | | | | (732) all_105_2 = all_95_1
% 103.17/15.20 | | | | | | | | | | | | | | | | | | | | |
% 103.17/15.20 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (22) with 0, all_105_4, all_39_8,
% 103.17/15.20 | | | | | | | | | | | | | | | | | | | | | all_39_4, simplifying with (49), (727) gives:
% 103.17/15.20 | | | | | | | | | | | | | | | | | | | | | (733) all_105_4 = 0
% 103.17/15.20 | | | | | | | | | | | | | | | | | | | | |
% 103.17/15.20 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (22) with all_95_3, all_105_4,
% 103.17/15.20 | | | | | | | | | | | | | | | | | | | | | all_39_8, all_39_4, simplifying with (727), (728)
% 103.17/15.20 | | | | | | | | | | | | | | | | | | | | | gives:
% 103.17/15.20 | | | | | | | | | | | | | | | | | | | | | (734) all_105_4 = all_95_3
% 103.17/15.20 | | | | | | | | | | | | | | | | | | | | |
% 103.17/15.20 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (731), (732) imply:
% 103.17/15.20 | | | | | | | | | | | | | | | | | | | | | (735) all_95_1 = 0
% 103.17/15.20 | | | | | | | | | | | | | | | | | | | | |
% 103.17/15.20 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (733), (734) imply:
% 103.17/15.20 | | | | | | | | | | | | | | | | | | | | | (736) all_95_3 = 0
% 103.17/15.20 | | | | | | | | | | | | | | | | | | | | |
% 103.17/15.20 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (12) with all_39_9, all_39_0,
% 103.17/15.20 | | | | | | | | | | | | | | | | | | | | | all_49_0, simplifying with (30), (34), (88) gives:
% 103.17/15.20 | | | | | | | | | | | | | | | | | | | | | (737) all_49_0 = 0 | ? [v0: any] : ? [v1: any] :
% 103.17/15.20 | | | | | | | | | | | | | | | | | | | | | (v1_xboole_0(all_39_0) = v1 &
% 103.17/15.20 | | | | | | | | | | | | | | | | | | | | | m1_subset_1(all_39_9, all_39_0) = v0 & ( ~ (v0 =
% 103.17/15.20 | | | | | | | | | | | | | | | | | | | | | 0) | v1 = 0))
% 103.17/15.20 | | | | | | | | | | | | | | | | | | | | |
% 103.17/15.20 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (591) with all_39_2, all_39_0,
% 103.17/15.20 | | | | | | | | | | | | | | | | | | | | | all_356_1, simplifying with (33), (34), (600)
% 103.17/15.20 | | | | | | | | | | | | | | | | | | | | | gives:
% 103.17/15.20 | | | | | | | | | | | | | | | | | | | | | (738) ~ (all_105_2 = 0) | ~ (all_105_4 = 0) | ? [v0:
% 103.17/15.20 | | | | | | | | | | | | | | | | | | | | | any] : ? [v1: any] : ? [v2: any] :
% 103.17/15.20 | | | | | | | | | | | | | | | | | | | | | (r2_hidden(all_356_1, all_105_0) = v0 &
% 103.17/15.20 | | | | | | | | | | | | | | | | | | | | | r2_hidden(all_39_0, all_39_9) = v1 &
% 103.17/15.20 | | | | | | | | | | | | | | | | | | | | | r2_hidden(all_39_2, all_39_9) = v2 & ( ~ (v1 =
% 103.17/15.20 | | | | | | | | | | | | | | | | | | | | | 0) | ~ (v0 = 0) | v2 = 0))
% 103.17/15.20 | | | | | | | | | | | | | | | | | | | | |
% 103.17/15.20 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (738) gives:
% 103.17/15.20 | | | | | | | | | | | | | | | | | | | | |
% 103.17/15.20 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 103.17/15.20 | | | | | | | | | | | | | | | | | | | | | |
% 103.17/15.20 | | | | | | | | | | | | | | | | | | | | | | (739) ~ (all_105_2 = 0)
% 103.17/15.20 | | | | | | | | | | | | | | | | | | | | | |
% 103.17/15.20 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (731), (739) imply:
% 103.17/15.20 | | | | | | | | | | | | | | | | | | | | | | (740) $false
% 103.17/15.20 | | | | | | | | | | | | | | | | | | | | | |
% 103.17/15.20 | | | | | | | | | | | | | | | | | | | | | | CLOSE: (740) is inconsistent.
% 103.17/15.20 | | | | | | | | | | | | | | | | | | | | | |
% 103.17/15.20 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 103.17/15.20 | | | | | | | | | | | | | | | | | | | | | |
% 103.17/15.20 | | | | | | | | | | | | | | | | | | | | | | (741) ~ (all_105_4 = 0) | ? [v0: any] : ? [v1: any] :
% 103.17/15.20 | | | | | | | | | | | | | | | | | | | | | | ? [v2: any] : (r2_hidden(all_356_1, all_105_0) =
% 103.17/15.20 | | | | | | | | | | | | | | | | | | | | | | v0 & r2_hidden(all_39_0, all_39_9) = v1 &
% 103.17/15.20 | | | | | | | | | | | | | | | | | | | | | | r2_hidden(all_39_2, all_39_9) = v2 & ( ~ (v1 =
% 103.17/15.20 | | | | | | | | | | | | | | | | | | | | | | 0) | ~ (v0 = 0) | v2 = 0))
% 103.17/15.20 | | | | | | | | | | | | | | | | | | | | | |
% 103.17/15.20 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (741) gives:
% 103.17/15.20 | | | | | | | | | | | | | | | | | | | | | |
% 103.17/15.20 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 103.17/15.20 | | | | | | | | | | | | | | | | | | | | | | |
% 103.17/15.20 | | | | | | | | | | | | | | | | | | | | | | | (742) ~ (all_105_4 = 0)
% 103.17/15.20 | | | | | | | | | | | | | | | | | | | | | | |
% 103.17/15.20 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (733), (742) imply:
% 103.17/15.20 | | | | | | | | | | | | | | | | | | | | | | | (743) $false
% 103.17/15.20 | | | | | | | | | | | | | | | | | | | | | | |
% 103.17/15.20 | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (743) is inconsistent.
% 103.17/15.20 | | | | | | | | | | | | | | | | | | | | | | |
% 103.17/15.20 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 103.17/15.20 | | | | | | | | | | | | | | | | | | | | | | |
% 103.17/15.20 | | | | | | | | | | | | | | | | | | | | | | | (744) ? [v0: any] : ? [v1: any] : ? [v2: any] :
% 103.17/15.20 | | | | | | | | | | | | | | | | | | | | | | | (r2_hidden(all_356_1, all_105_0) = v0 &
% 103.17/15.20 | | | | | | | | | | | | | | | | | | | | | | | r2_hidden(all_39_0, all_39_9) = v1 &
% 103.17/15.20 | | | | | | | | | | | | | | | | | | | | | | | r2_hidden(all_39_2, all_39_9) = v2 & ( ~ (v1 =
% 103.17/15.20 | | | | | | | | | | | | | | | | | | | | | | | 0) | ~ (v0 = 0) | v2 = 0))
% 103.17/15.20 | | | | | | | | | | | | | | | | | | | | | | |
% 103.17/15.20 | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (744) with fresh symbols all_724_0,
% 103.17/15.20 | | | | | | | | | | | | | | | | | | | | | | | all_724_1, all_724_2 gives:
% 103.17/15.20 | | | | | | | | | | | | | | | | | | | | | | | (745) r2_hidden(all_356_1, all_105_0) = all_724_2 &
% 103.17/15.20 | | | | | | | | | | | | | | | | | | | | | | | r2_hidden(all_39_0, all_39_9) = all_724_1 &
% 103.17/15.20 | | | | | | | | | | | | | | | | | | | | | | | r2_hidden(all_39_2, all_39_9) = all_724_0 & ( ~
% 103.17/15.20 | | | | | | | | | | | | | | | | | | | | | | | (all_724_1 = 0) | ~ (all_724_2 = 0) | all_724_0
% 103.17/15.20 | | | | | | | | | | | | | | | | | | | | | | | = 0)
% 103.17/15.20 | | | | | | | | | | | | | | | | | | | | | | |
% 103.17/15.20 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (745) implies:
% 103.17/15.20 | | | | | | | | | | | | | | | | | | | | | | | (746) r2_hidden(all_39_2, all_39_9) = all_724_0
% 103.17/15.20 | | | | | | | | | | | | | | | | | | | | | | | (747) r2_hidden(all_39_0, all_39_9) = all_724_1
% 103.17/15.20 | | | | | | | | | | | | | | | | | | | | | | | (748) r2_hidden(all_356_1, all_105_0) = all_724_2
% 103.17/15.20 | | | | | | | | | | | | | | | | | | | | | | | (749) ~ (all_724_1 = 0) | ~ (all_724_2 = 0) |
% 103.17/15.20 | | | | | | | | | | | | | | | | | | | | | | | all_724_0 = 0
% 103.17/15.20 | | | | | | | | | | | | | | | | | | | | | | |
% 103.17/15.20 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (691), (748) imply:
% 103.17/15.20 | | | | | | | | | | | | | | | | | | | | | | | (750) r2_hidden(all_356_1, all_71_1) = all_724_2
% 103.17/15.20 | | | | | | | | | | | | | | | | | | | | | | |
% 103.17/15.20 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (737) gives:
% 103.17/15.20 | | | | | | | | | | | | | | | | | | | | | | |
% 103.17/15.20 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 103.17/15.20 | | | | | | | | | | | | | | | | | | | | | | | |
% 103.17/15.20 | | | | | | | | | | | | | | | | | | | | | | | | (751) all_49_0 = 0
% 103.17/15.20 | | | | | | | | | | | | | | | | | | | | | | | |
% 103.17/15.20 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (87), (751) imply:
% 103.17/15.20 | | | | | | | | | | | | | | | | | | | | | | | | (752) $false
% 103.17/15.20 | | | | | | | | | | | | | | | | | | | | | | | |
% 103.17/15.20 | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (752) is inconsistent.
% 103.17/15.20 | | | | | | | | | | | | | | | | | | | | | | | |
% 103.17/15.20 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 103.17/15.20 | | | | | | | | | | | | | | | | | | | | | | | |
% 103.17/15.20 | | | | | | | | | | | | | | | | | | | | | | | |
% 103.17/15.20 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (17) with all_39_1, all_724_0,
% 103.17/15.20 | | | | | | | | | | | | | | | | | | | | | | | | all_39_9, all_39_2, simplifying with (40), (746)
% 103.17/15.20 | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 103.17/15.20 | | | | | | | | | | | | | | | | | | | | | | | | (753) all_724_0 = all_39_1
% 103.17/15.20 | | | | | | | | | | | | | | | | | | | | | | | |
% 103.17/15.20 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (17) with 0, all_724_1, all_39_9,
% 103.17/15.20 | | | | | | | | | | | | | | | | | | | | | | | | all_39_0, simplifying with (41), (747) gives:
% 103.17/15.20 | | | | | | | | | | | | | | | | | | | | | | | | (754) all_724_1 = 0
% 103.17/15.20 | | | | | | | | | | | | | | | | | | | | | | | |
% 103.17/15.20 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (17) with 0, all_724_2, all_71_1,
% 103.17/15.20 | | | | | | | | | | | | | | | | | | | | | | | | all_356_1, simplifying with (690), (750) gives:
% 103.17/15.20 | | | | | | | | | | | | | | | | | | | | | | | | (755) all_724_2 = 0
% 103.17/15.20 | | | | | | | | | | | | | | | | | | | | | | | |
% 103.17/15.20 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (749) gives:
% 103.17/15.20 | | | | | | | | | | | | | | | | | | | | | | | |
% 103.17/15.20 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 103.17/15.20 | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.17/15.20 | | | | | | | | | | | | | | | | | | | | | | | | | (756) ~ (all_724_1 = 0)
% 103.17/15.20 | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.17/15.20 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (754), (756) imply:
% 103.17/15.20 | | | | | | | | | | | | | | | | | | | | | | | | | (757) $false
% 103.17/15.20 | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.17/15.20 | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (757) is inconsistent.
% 103.17/15.20 | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.17/15.20 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 103.17/15.20 | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.17/15.20 | | | | | | | | | | | | | | | | | | | | | | | | | (758) ~ (all_724_2 = 0) | all_724_0 = 0
% 103.17/15.20 | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.17/15.20 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (758) gives:
% 103.17/15.20 | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.17/15.20 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 103.17/15.20 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.17/15.20 | | | | | | | | | | | | | | | | | | | | | | | | | | (759) ~ (all_724_2 = 0)
% 103.17/15.20 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.17/15.20 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (755), (759) imply:
% 103.17/15.20 | | | | | | | | | | | | | | | | | | | | | | | | | | (760) $false
% 103.17/15.20 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.17/15.20 | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (760) is inconsistent.
% 103.17/15.20 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.17/15.20 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 103.17/15.20 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.17/15.20 | | | | | | | | | | | | | | | | | | | | | | | | | | (761) all_724_0 = 0
% 103.17/15.20 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.17/15.20 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (753), (761) imply:
% 103.17/15.20 | | | | | | | | | | | | | | | | | | | | | | | | | | (762) all_39_1 = 0
% 103.17/15.20 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.17/15.20 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (28), (762) imply:
% 103.17/15.20 | | | | | | | | | | | | | | | | | | | | | | | | | | (763) $false
% 103.17/15.20 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.17/15.20 | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (763) is inconsistent.
% 103.17/15.20 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.17/15.20 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 103.17/15.20 | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.17/15.20 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 103.17/15.20 | | | | | | | | | | | | | | | | | | | | | | | |
% 103.17/15.20 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 103.17/15.20 | | | | | | | | | | | | | | | | | | | | | | |
% 103.17/15.20 | | | | | | | | | | | | | | | | | | | | | | End of split
% 103.17/15.20 | | | | | | | | | | | | | | | | | | | | | |
% 103.17/15.20 | | | | | | | | | | | | | | | | | | | | | End of split
% 103.17/15.20 | | | | | | | | | | | | | | | | | | | | |
% 103.17/15.20 | | | | | | | | | | | | | | | | | | | | End of split
% 103.17/15.20 | | | | | | | | | | | | | | | | | | | |
% 103.17/15.20 | | | | | | | | | | | | | | | | | | | End of split
% 103.17/15.20 | | | | | | | | | | | | | | | | | | |
% 103.17/15.20 | | | | | | | | | | | | | | | | | | End of split
% 103.17/15.20 | | | | | | | | | | | | | | | | | |
% 103.17/15.20 | | | | | | | | | | | | | | | | | End of split
% 103.17/15.20 | | | | | | | | | | | | | | | | |
% 103.17/15.20 | | | | | | | | | | | | | | | | End of split
% 103.17/15.20 | | | | | | | | | | | | | | | |
% 103.17/15.20 | | | | | | | | | | | | | | | End of split
% 103.17/15.20 | | | | | | | | | | | | | | |
% 103.17/15.20 | | | | | | | | | | | | | | End of split
% 103.17/15.20 | | | | | | | | | | | | | |
% 103.17/15.20 | | | | | | | | | | | | | End of split
% 103.17/15.20 | | | | | | | | | | | | |
% 103.17/15.20 | | | | | | | | | | | | End of split
% 103.17/15.20 | | | | | | | | | | | |
% 103.17/15.20 | | | | | | | | | | | End of split
% 103.17/15.20 | | | | | | | | | | |
% 103.17/15.20 | | | | | | | | | | End of split
% 103.17/15.20 | | | | | | | | | |
% 103.17/15.20 | | | | | | | | | End of split
% 103.17/15.20 | | | | | | | | |
% 103.17/15.20 | | | | | | | | End of split
% 103.17/15.20 | | | | | | | |
% 103.17/15.20 | | | | | | | End of split
% 103.17/15.20 | | | | | | |
% 103.17/15.20 | | | | | | End of split
% 103.17/15.20 | | | | | |
% 103.17/15.20 | | | | | End of split
% 103.17/15.20 | | | | |
% 103.17/15.20 | | | | End of split
% 103.17/15.20 | | | |
% 103.17/15.20 | | | End of split
% 103.17/15.20 | | |
% 103.17/15.20 | | End of split
% 103.17/15.20 | |
% 103.17/15.20 | End of split
% 103.17/15.20 |
% 103.17/15.20 End of proof
% 103.17/15.20
% 103.17/15.20 Sub-proof #1 shows that the following formulas are inconsistent:
% 103.17/15.20 ----------------------------------------------------------------
% 103.17/15.20 (1) ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] :
% 103.17/15.20 (v1 = v0 | ~ (l1_orders_2(v2) = v1) | ~ (l1_orders_2(v2) = v0))
% 103.17/15.20 (2) l1_orders_2(all_39_7) = all_88_6
% 103.17/15.20 (3) l1_orders_2(all_39_7) = 0
% 103.17/15.20 (4) ~ (all_88_6 = 0)
% 103.17/15.20 (5) l1_orders_2(all_39_7) = all_100_6
% 103.17/15.20
% 103.17/15.20 Begin of proof
% 103.17/15.20 |
% 103.17/15.20 | GROUND_INST: instantiating (1) with all_88_6, all_100_6, all_39_7, simplifying
% 103.17/15.20 | with (2), (5) gives:
% 103.17/15.20 | (6) all_100_6 = all_88_6
% 103.17/15.20 |
% 103.17/15.20 | GROUND_INST: instantiating (1) with 0, all_100_6, all_39_7, simplifying with
% 103.17/15.20 | (3), (5) gives:
% 103.17/15.20 | (7) all_100_6 = 0
% 103.17/15.20 |
% 103.17/15.20 | COMBINE_EQS: (6), (7) imply:
% 103.17/15.20 | (8) all_88_6 = 0
% 103.17/15.20 |
% 103.17/15.20 | SIMP: (8) implies:
% 103.17/15.20 | (9) all_88_6 = 0
% 103.17/15.20 |
% 103.17/15.20 | REDUCE: (4), (9) imply:
% 103.17/15.20 | (10) $false
% 103.17/15.20 |
% 103.17/15.20 | CLOSE: (10) is inconsistent.
% 103.17/15.20 |
% 103.17/15.20 End of proof
% 103.17/15.20
% 103.17/15.20 Sub-proof #2 shows that the following formulas are inconsistent:
% 103.17/15.20 ----------------------------------------------------------------
% 103.17/15.20 (1) ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] :
% 103.17/15.20 (v1 = v0 | ~ (l1_orders_2(v2) = v1) | ~ (l1_orders_2(v2) = v0))
% 103.17/15.20 (2) l1_orders_2(all_39_8) = all_91_6
% 103.17/15.20 (3) l1_orders_2(all_39_8) = 0
% 103.17/15.20 (4) l1_orders_2(all_39_8) = all_95_6
% 103.17/15.20 (5) l1_orders_2(all_39_8) = all_93_6
% 103.17/15.20 (6) ~ (all_99_6 = 0) & l1_orders_2(all_39_8) = all_99_6
% 103.17/15.20
% 103.17/15.20 Begin of proof
% 103.17/15.20 |
% 103.17/15.20 | ALPHA: (6) implies:
% 103.17/15.20 | (7) ~ (all_99_6 = 0)
% 103.17/15.20 | (8) l1_orders_2(all_39_8) = all_99_6
% 103.17/15.20 |
% 103.17/15.20 | GROUND_INST: instantiating (1) with 0, all_95_6, all_39_8, simplifying with
% 103.17/15.20 | (3), (4) gives:
% 103.17/15.20 | (9) all_95_6 = 0
% 103.17/15.20 |
% 103.17/15.20 | GROUND_INST: instantiating (1) with all_91_6, all_95_6, all_39_8, simplifying
% 103.17/15.20 | with (2), (4) gives:
% 103.17/15.20 | (10) all_95_6 = all_91_6
% 103.17/15.20 |
% 103.17/15.20 | GROUND_INST: instantiating (1) with all_95_6, all_99_6, all_39_8, simplifying
% 103.17/15.20 | with (4), (8) gives:
% 103.17/15.20 | (11) all_99_6 = all_95_6
% 103.17/15.21 |
% 103.67/15.21 | GROUND_INST: instantiating (1) with all_93_6, all_99_6, all_39_8, simplifying
% 103.67/15.21 | with (5), (8) gives:
% 103.67/15.21 | (12) all_99_6 = all_93_6
% 103.67/15.21 |
% 103.67/15.21 | COMBINE_EQS: (11), (12) imply:
% 103.67/15.21 | (13) all_95_6 = all_93_6
% 103.67/15.21 |
% 103.67/15.21 | SIMP: (13) implies:
% 103.67/15.21 | (14) all_95_6 = all_93_6
% 103.67/15.21 |
% 103.67/15.21 | COMBINE_EQS: (9), (14) imply:
% 103.67/15.21 | (15) all_93_6 = 0
% 103.67/15.21 |
% 103.67/15.21 | COMBINE_EQS: (10), (14) imply:
% 103.67/15.21 | (16) all_93_6 = all_91_6
% 103.67/15.21 |
% 103.67/15.21 | COMBINE_EQS: (15), (16) imply:
% 103.67/15.21 | (17) all_91_6 = 0
% 103.67/15.21 |
% 103.67/15.21 | COMBINE_EQS: (12), (15) imply:
% 103.67/15.21 | (18) all_99_6 = 0
% 103.67/15.21 |
% 103.67/15.21 | REDUCE: (7), (18) imply:
% 103.67/15.21 | (19) $false
% 103.67/15.21 |
% 103.67/15.21 | CLOSE: (19) is inconsistent.
% 103.67/15.21 |
% 103.67/15.21 End of proof
% 103.67/15.21
% 103.67/15.21 Sub-proof #3 shows that the following formulas are inconsistent:
% 103.67/15.21 ----------------------------------------------------------------
% 103.67/15.21 (1) ~ (all_93_6 = 0) & l1_orders_2(all_39_7) = all_93_6
% 103.67/15.21 (2) ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] :
% 103.67/15.21 (v1 = v0 | ~ (l1_orders_2(v2) = v1) | ~ (l1_orders_2(v2) = v0))
% 103.67/15.21 (3) l1_orders_2(all_39_7) = 0
% 103.67/15.21 (4) ( ~ (all_100_6 = 0) & l1_orders_2(all_39_7) = all_100_6) |
% 103.67/15.21 (v12_waybel_0(all_100_5, all_39_7) = all_100_4 & k1_latsum_1(all_39_7,
% 103.67/15.21 all_39_7) = all_100_1 & k3_xboole_0(all_39_6, all_39_6) = all_100_5 &
% 103.67/15.21 k1_zfmisc_1(all_39_6) = all_100_3 & m1_subset_1(all_100_5, all_100_3) =
% 103.67/15.21 all_100_2 & l1_orders_2(all_39_7) = all_100_6 & u1_orders_2(all_100_1)
% 103.67/15.21 = all_100_0 & $i(all_100_0) & $i(all_100_1) & $i(all_100_3) &
% 103.67/15.21 $i(all_100_5) & ( ~ (all_100_6 = 0) | ! [v0: $i] : ! [v1: $i] : !
% 103.67/15.21 [v2: $i] : ( ~ (all_100_2 = 0) | ~ (all_100_4 = 0) | ~
% 103.67/15.21 (k4_tarski(v0, v1) = v2) | ~ $i(v1) | ~ $i(v0) | ? [v3: any] :
% 103.67/15.21 ? [v4: any] : ? [v5: any] : (r2_hidden(v2, all_100_0) = v3 &
% 103.67/15.21 r2_hidden(v1, all_39_6) = v4 & r2_hidden(v0, all_39_6) = v5 & ( ~
% 103.67/15.21 (v4 = 0) | ~ (v3 = 0) | v5 = 0)))))
% 103.67/15.21
% 103.67/15.21 Begin of proof
% 103.67/15.21 |
% 103.67/15.21 | ALPHA: (1) implies:
% 103.67/15.21 | (5) ~ (all_93_6 = 0)
% 103.67/15.21 | (6) l1_orders_2(all_39_7) = all_93_6
% 103.67/15.21 |
% 103.67/15.21 | BETA: splitting (4) gives:
% 103.67/15.21 |
% 103.67/15.21 | Case 1:
% 103.67/15.21 | |
% 103.67/15.21 | | (7) ~ (all_100_6 = 0) & l1_orders_2(all_39_7) = all_100_6
% 103.67/15.21 | |
% 103.67/15.21 | | ALPHA: (7) implies:
% 103.67/15.21 | | (8) l1_orders_2(all_39_7) = all_100_6
% 103.67/15.21 | |
% 103.67/15.21 | | REF_CLOSE: (2), (3), (5), (6), (8) are inconsistent by sub-proof #6.
% 103.67/15.21 | |
% 103.67/15.21 | Case 2:
% 103.67/15.21 | |
% 103.67/15.21 | | (9) v12_waybel_0(all_100_5, all_39_7) = all_100_4 & k1_latsum_1(all_39_7,
% 103.67/15.21 | | all_39_7) = all_100_1 & k3_xboole_0(all_39_6, all_39_6) = all_100_5
% 103.67/15.21 | | & k1_zfmisc_1(all_39_6) = all_100_3 & m1_subset_1(all_100_5,
% 103.67/15.21 | | all_100_3) = all_100_2 & l1_orders_2(all_39_7) = all_100_6 &
% 103.67/15.21 | | u1_orders_2(all_100_1) = all_100_0 & $i(all_100_0) & $i(all_100_1) &
% 103.67/15.21 | | $i(all_100_3) & $i(all_100_5) & ( ~ (all_100_6 = 0) | ! [v0: $i] :
% 103.67/15.21 | | ! [v1: $i] : ! [v2: $i] : ( ~ (all_100_2 = 0) | ~ (all_100_4 = 0)
% 103.67/15.21 | | | ~ (k4_tarski(v0, v1) = v2) | ~ $i(v1) | ~ $i(v0) | ? [v3:
% 103.67/15.21 | | any] : ? [v4: any] : ? [v5: any] : (r2_hidden(v2, all_100_0)
% 103.67/15.21 | | = v3 & r2_hidden(v1, all_39_6) = v4 & r2_hidden(v0, all_39_6) =
% 103.67/15.21 | | v5 & ( ~ (v4 = 0) | ~ (v3 = 0) | v5 = 0))))
% 103.67/15.21 | |
% 103.67/15.21 | | ALPHA: (9) implies:
% 103.67/15.21 | | (10) l1_orders_2(all_39_7) = all_100_6
% 103.67/15.21 | |
% 103.67/15.21 | | REF_CLOSE: (2), (3), (5), (6), (10) are inconsistent by sub-proof #6.
% 103.67/15.21 | |
% 103.67/15.21 | End of split
% 103.67/15.21 |
% 103.67/15.21 End of proof
% 103.67/15.21
% 103.67/15.21 Sub-proof #4 shows that the following formulas are inconsistent:
% 103.67/15.21 ----------------------------------------------------------------
% 103.67/15.21 (1) ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] :
% 103.67/15.21 (v1 = v0 | ~ (l1_orders_2(v2) = v1) | ~ (l1_orders_2(v2) = v0))
% 103.67/15.21 (2) l1_orders_2(all_39_8) = all_91_6
% 103.67/15.21 (3) l1_orders_2(all_39_7) = 0
% 103.67/15.21 (4) l1_orders_2(all_39_8) = 0
% 103.67/15.21 (5) ( ~ (all_93_6 = 0) & l1_orders_2(all_39_7) = all_93_6) |
% 103.67/15.21 (v12_waybel_0(all_93_5, all_39_8) = all_93_4 & k1_latsum_1(all_39_7,
% 103.67/15.21 all_39_8) = all_93_1 & k3_xboole_0(all_39_6, all_39_5) = all_93_5 &
% 103.67/15.21 k1_zfmisc_1(all_39_5) = all_93_3 & m1_subset_1(all_93_5, all_93_3) =
% 103.67/15.21 all_93_2 & l1_orders_2(all_39_8) = all_93_6 & u1_orders_2(all_93_1) =
% 103.67/15.21 all_93_0 & $i(all_93_0) & $i(all_93_1) & $i(all_93_3) & $i(all_93_5) &
% 103.67/15.21 ( ~ (all_93_6 = 0) | ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~
% 103.67/15.21 (all_93_2 = 0) | ~ (all_93_4 = 0) | ~ (k4_tarski(v0, v1) = v2) |
% 103.67/15.21 ~ $i(v1) | ~ $i(v0) | ? [v3: any] : ? [v4: any] : ? [v5: any] :
% 103.67/15.21 (r2_hidden(v2, all_93_0) = v3 & r2_hidden(v1, all_39_6) = v4 &
% 103.67/15.21 r2_hidden(v0, all_39_6) = v5 & ( ~ (v4 = 0) | ~ (v3 = 0) | v5 =
% 103.67/15.21 0)))))
% 103.67/15.21 (6) l1_orders_2(all_39_8) = all_90_6
% 103.67/15.21 (7) ~ (all_94_6 = 0)
% 103.67/15.21 (8) ( ~ (all_100_6 = 0) & l1_orders_2(all_39_7) = all_100_6) |
% 103.67/15.21 (v12_waybel_0(all_100_5, all_39_7) = all_100_4 & k1_latsum_1(all_39_7,
% 103.67/15.21 all_39_7) = all_100_1 & k3_xboole_0(all_39_6, all_39_6) = all_100_5 &
% 103.67/15.21 k1_zfmisc_1(all_39_6) = all_100_3 & m1_subset_1(all_100_5, all_100_3) =
% 103.67/15.21 all_100_2 & l1_orders_2(all_39_7) = all_100_6 & u1_orders_2(all_100_1)
% 103.67/15.21 = all_100_0 & $i(all_100_0) & $i(all_100_1) & $i(all_100_3) &
% 103.67/15.21 $i(all_100_5) & ( ~ (all_100_6 = 0) | ! [v0: $i] : ! [v1: $i] : !
% 103.67/15.21 [v2: $i] : ( ~ (all_100_2 = 0) | ~ (all_100_4 = 0) | ~
% 103.67/15.21 (k4_tarski(v0, v1) = v2) | ~ $i(v1) | ~ $i(v0) | ? [v3: any] :
% 103.67/15.21 ? [v4: any] : ? [v5: any] : (r2_hidden(v2, all_100_0) = v3 &
% 103.67/15.21 r2_hidden(v1, all_39_6) = v4 & r2_hidden(v0, all_39_6) = v5 & ( ~
% 103.67/15.21 (v4 = 0) | ~ (v3 = 0) | v5 = 0)))))
% 103.67/15.21 (9) l1_orders_2(all_39_8) = all_95_6
% 103.67/15.21 (10) l1_orders_2(all_39_8) = all_94_6
% 103.67/15.21
% 103.67/15.21 Begin of proof
% 103.67/15.21 |
% 103.67/15.21 | BETA: splitting (8) gives:
% 103.67/15.21 |
% 103.67/15.21 | Case 1:
% 103.67/15.21 | |
% 103.67/15.21 | | (11) ~ (all_100_6 = 0) & l1_orders_2(all_39_7) = all_100_6
% 103.67/15.21 | |
% 103.67/15.21 | | ALPHA: (11) implies:
% 103.67/15.21 | | (12) l1_orders_2(all_39_7) = all_100_6
% 103.67/15.21 | |
% 103.67/15.21 | | REF_CLOSE: (1), (2), (3), (4), (5), (6), (7), (9), (10), (12) are
% 103.67/15.21 | | inconsistent by sub-proof #5.
% 103.67/15.21 | |
% 103.67/15.21 | Case 2:
% 103.67/15.21 | |
% 103.67/15.21 | | (13) v12_waybel_0(all_100_5, all_39_7) = all_100_4 &
% 103.67/15.21 | | k1_latsum_1(all_39_7, all_39_7) = all_100_1 & k3_xboole_0(all_39_6,
% 103.67/15.21 | | all_39_6) = all_100_5 & k1_zfmisc_1(all_39_6) = all_100_3 &
% 103.67/15.21 | | m1_subset_1(all_100_5, all_100_3) = all_100_2 &
% 103.67/15.21 | | l1_orders_2(all_39_7) = all_100_6 & u1_orders_2(all_100_1) =
% 103.67/15.21 | | all_100_0 & $i(all_100_0) & $i(all_100_1) & $i(all_100_3) &
% 103.67/15.21 | | $i(all_100_5) & ( ~ (all_100_6 = 0) | ! [v0: $i] : ! [v1: $i] : !
% 103.67/15.21 | | [v2: $i] : ( ~ (all_100_2 = 0) | ~ (all_100_4 = 0) | ~
% 103.67/15.21 | | (k4_tarski(v0, v1) = v2) | ~ $i(v1) | ~ $i(v0) | ? [v3: any]
% 103.67/15.21 | | : ? [v4: any] : ? [v5: any] : (r2_hidden(v2, all_100_0) = v3 &
% 103.67/15.21 | | r2_hidden(v1, all_39_6) = v4 & r2_hidden(v0, all_39_6) = v5 &
% 103.67/15.21 | | ( ~ (v4 = 0) | ~ (v3 = 0) | v5 = 0))))
% 103.67/15.21 | |
% 103.67/15.21 | | ALPHA: (13) implies:
% 103.67/15.21 | | (14) l1_orders_2(all_39_7) = all_100_6
% 103.67/15.21 | |
% 103.67/15.21 | | REF_CLOSE: (1), (2), (3), (4), (5), (6), (7), (9), (10), (14) are
% 103.67/15.21 | | inconsistent by sub-proof #5.
% 103.67/15.21 | |
% 103.67/15.21 | End of split
% 103.67/15.21 |
% 103.67/15.21 End of proof
% 103.67/15.21
% 103.67/15.21 Sub-proof #5 shows that the following formulas are inconsistent:
% 103.67/15.21 ----------------------------------------------------------------
% 103.67/15.21 (1) ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] :
% 103.67/15.21 (v1 = v0 | ~ (l1_orders_2(v2) = v1) | ~ (l1_orders_2(v2) = v0))
% 103.67/15.21 (2) l1_orders_2(all_39_8) = all_91_6
% 103.67/15.21 (3) l1_orders_2(all_39_7) = 0
% 103.67/15.21 (4) l1_orders_2(all_39_8) = 0
% 103.67/15.21 (5) ( ~ (all_93_6 = 0) & l1_orders_2(all_39_7) = all_93_6) |
% 103.67/15.21 (v12_waybel_0(all_93_5, all_39_8) = all_93_4 & k1_latsum_1(all_39_7,
% 103.67/15.21 all_39_8) = all_93_1 & k3_xboole_0(all_39_6, all_39_5) = all_93_5 &
% 103.67/15.21 k1_zfmisc_1(all_39_5) = all_93_3 & m1_subset_1(all_93_5, all_93_3) =
% 103.67/15.21 all_93_2 & l1_orders_2(all_39_8) = all_93_6 & u1_orders_2(all_93_1) =
% 103.67/15.21 all_93_0 & $i(all_93_0) & $i(all_93_1) & $i(all_93_3) & $i(all_93_5) &
% 103.67/15.21 ( ~ (all_93_6 = 0) | ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~
% 103.67/15.21 (all_93_2 = 0) | ~ (all_93_4 = 0) | ~ (k4_tarski(v0, v1) = v2) |
% 103.67/15.21 ~ $i(v1) | ~ $i(v0) | ? [v3: any] : ? [v4: any] : ? [v5: any] :
% 103.67/15.21 (r2_hidden(v2, all_93_0) = v3 & r2_hidden(v1, all_39_6) = v4 &
% 103.67/15.21 r2_hidden(v0, all_39_6) = v5 & ( ~ (v4 = 0) | ~ (v3 = 0) | v5 =
% 103.67/15.21 0)))))
% 103.67/15.21 (6) l1_orders_2(all_39_8) = all_90_6
% 103.67/15.21 (7) ~ (all_94_6 = 0)
% 103.67/15.21 (8) l1_orders_2(all_39_8) = all_95_6
% 103.67/15.21 (9) l1_orders_2(all_39_8) = all_94_6
% 103.67/15.21 (10) l1_orders_2(all_39_7) = all_100_6
% 103.67/15.21
% 103.67/15.21 Begin of proof
% 103.67/15.21 |
% 103.67/15.21 | BETA: splitting (5) gives:
% 103.67/15.21 |
% 103.67/15.21 | Case 1:
% 103.67/15.21 | |
% 103.67/15.21 | | (11) ~ (all_93_6 = 0) & l1_orders_2(all_39_7) = all_93_6
% 103.67/15.21 | |
% 103.67/15.21 | | ALPHA: (11) implies:
% 103.67/15.21 | | (12) ~ (all_93_6 = 0)
% 103.67/15.21 | | (13) l1_orders_2(all_39_7) = all_93_6
% 103.67/15.21 | |
% 103.67/15.21 | | REF_CLOSE: (1), (3), (10), (12), (13) are inconsistent by sub-proof #6.
% 103.67/15.21 | |
% 103.67/15.21 | Case 2:
% 103.67/15.21 | |
% 103.67/15.21 | | (14) v12_waybel_0(all_93_5, all_39_8) = all_93_4 & k1_latsum_1(all_39_7,
% 103.67/15.21 | | all_39_8) = all_93_1 & k3_xboole_0(all_39_6, all_39_5) = all_93_5
% 103.67/15.21 | | & k1_zfmisc_1(all_39_5) = all_93_3 & m1_subset_1(all_93_5, all_93_3)
% 103.67/15.21 | | = all_93_2 & l1_orders_2(all_39_8) = all_93_6 &
% 103.67/15.21 | | u1_orders_2(all_93_1) = all_93_0 & $i(all_93_0) & $i(all_93_1) &
% 103.67/15.21 | | $i(all_93_3) & $i(all_93_5) & ( ~ (all_93_6 = 0) | ! [v0: $i] : !
% 103.67/15.21 | | [v1: $i] : ! [v2: $i] : ( ~ (all_93_2 = 0) | ~ (all_93_4 = 0) |
% 103.67/15.21 | | ~ (k4_tarski(v0, v1) = v2) | ~ $i(v1) | ~ $i(v0) | ? [v3:
% 103.67/15.21 | | any] : ? [v4: any] : ? [v5: any] : (r2_hidden(v2, all_93_0)
% 103.67/15.21 | | = v3 & r2_hidden(v1, all_39_6) = v4 & r2_hidden(v0, all_39_6)
% 103.67/15.21 | | = v5 & ( ~ (v4 = 0) | ~ (v3 = 0) | v5 = 0))))
% 103.67/15.21 | |
% 103.67/15.21 | | ALPHA: (14) implies:
% 103.67/15.21 | | (15) l1_orders_2(all_39_8) = all_93_6
% 103.67/15.21 | |
% 103.67/15.21 | | GROUND_INST: instantiating (1) with all_93_6, all_94_6, all_39_8,
% 103.67/15.21 | | simplifying with (9), (15) gives:
% 103.67/15.21 | | (16) all_94_6 = all_93_6
% 103.67/15.21 | |
% 103.67/15.21 | | GROUND_INST: instantiating (1) with all_91_6, all_94_6, all_39_8,
% 103.67/15.21 | | simplifying with (2), (9) gives:
% 103.67/15.21 | | (17) all_94_6 = all_91_6
% 103.67/15.21 | |
% 103.67/15.21 | | GROUND_INST: instantiating (1) with all_90_6, all_94_6, all_39_8,
% 103.67/15.21 | | simplifying with (6), (9) gives:
% 103.67/15.21 | | (18) all_94_6 = all_90_6
% 103.67/15.21 | |
% 103.67/15.21 | | GROUND_INST: instantiating (1) with 0, all_95_6, all_39_8, simplifying with
% 103.67/15.21 | | (4), (8) gives:
% 103.67/15.21 | | (19) all_95_6 = 0
% 103.67/15.21 | |
% 103.67/15.21 | | GROUND_INST: instantiating (1) with all_94_6, all_95_6, all_39_8,
% 103.67/15.21 | | simplifying with (8), (9) gives:
% 103.67/15.21 | | (20) all_95_6 = all_94_6
% 103.67/15.21 | |
% 103.67/15.21 | | COMBINE_EQS: (19), (20) imply:
% 103.67/15.21 | | (21) all_94_6 = 0
% 103.67/15.21 | |
% 103.67/15.21 | | SIMP: (21) implies:
% 103.67/15.21 | | (22) all_94_6 = 0
% 103.67/15.21 | |
% 103.67/15.21 | | COMBINE_EQS: (16), (18) imply:
% 103.67/15.21 | | (23) all_93_6 = all_90_6
% 103.67/15.21 | |
% 103.67/15.21 | | COMBINE_EQS: (16), (22) imply:
% 103.67/15.21 | | (24) all_93_6 = 0
% 103.67/15.21 | |
% 103.67/15.21 | | COMBINE_EQS: (16), (17) imply:
% 103.67/15.21 | | (25) all_93_6 = all_91_6
% 103.67/15.21 | |
% 103.67/15.21 | | COMBINE_EQS: (24), (25) imply:
% 103.67/15.21 | | (26) all_91_6 = 0
% 103.67/15.21 | |
% 103.67/15.21 | | COMBINE_EQS: (23), (25) imply:
% 103.67/15.21 | | (27) all_91_6 = all_90_6
% 103.67/15.21 | |
% 103.67/15.21 | | COMBINE_EQS: (26), (27) imply:
% 103.67/15.21 | | (28) all_90_6 = 0
% 103.67/15.21 | |
% 103.67/15.21 | | REDUCE: (7), (22) imply:
% 103.67/15.21 | | (29) $false
% 103.67/15.21 | |
% 103.67/15.21 | | CLOSE: (29) is inconsistent.
% 103.67/15.21 | |
% 103.67/15.21 | End of split
% 103.67/15.21 |
% 103.67/15.21 End of proof
% 103.67/15.21
% 103.67/15.21 Sub-proof #6 shows that the following formulas are inconsistent:
% 103.67/15.21 ----------------------------------------------------------------
% 103.67/15.21 (1) l1_orders_2(all_39_7) = all_93_6
% 103.67/15.21 (2) ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] :
% 103.67/15.21 (v1 = v0 | ~ (l1_orders_2(v2) = v1) | ~ (l1_orders_2(v2) = v0))
% 103.67/15.21 (3) l1_orders_2(all_39_7) = 0
% 103.67/15.21 (4) ~ (all_93_6 = 0)
% 103.67/15.21 (5) l1_orders_2(all_39_7) = all_100_6
% 103.67/15.21
% 103.67/15.21 Begin of proof
% 103.67/15.21 |
% 103.67/15.21 | GROUND_INST: instantiating (2) with all_93_6, all_100_6, all_39_7, simplifying
% 103.67/15.21 | with (1), (5) gives:
% 103.67/15.21 | (6) all_100_6 = all_93_6
% 103.67/15.21 |
% 103.67/15.21 | GROUND_INST: instantiating (2) with 0, all_100_6, all_39_7, simplifying with
% 103.67/15.21 | (3), (5) gives:
% 103.67/15.21 | (7) all_100_6 = 0
% 103.67/15.21 |
% 103.67/15.21 | COMBINE_EQS: (6), (7) imply:
% 103.67/15.21 | (8) all_93_6 = 0
% 103.67/15.21 |
% 103.67/15.21 | SIMP: (8) implies:
% 103.67/15.21 | (9) all_93_6 = 0
% 103.67/15.21 |
% 103.67/15.21 | REDUCE: (4), (9) imply:
% 103.67/15.21 | (10) $false
% 103.67/15.21 |
% 103.67/15.21 | CLOSE: (10) is inconsistent.
% 103.67/15.21 |
% 103.67/15.21 End of proof
% 103.67/15.21
% 103.67/15.21 Sub-proof #7 shows that the following formulas are inconsistent:
% 103.67/15.21 ----------------------------------------------------------------
% 103.67/15.21 (1) ~ (all_96_6 = 0) & l1_orders_2(all_39_10) = all_96_6
% 103.67/15.21 (2) ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] :
% 103.67/15.21 (v1 = v0 | ~ (l1_orders_2(v2) = v1) | ~ (l1_orders_2(v2) = v0))
% 103.67/15.21 (3) l1_orders_2(all_39_10) = 0
% 103.67/15.21
% 103.67/15.21 Begin of proof
% 103.67/15.21 |
% 103.67/15.21 | ALPHA: (1) implies:
% 103.67/15.21 | (4) ~ (all_96_6 = 0)
% 103.67/15.21 | (5) l1_orders_2(all_39_10) = all_96_6
% 103.67/15.21 |
% 103.67/15.21 | GROUND_INST: instantiating (2) with 0, all_96_6, all_39_10, simplifying with
% 103.67/15.21 | (3), (5) gives:
% 103.67/15.21 | (6) all_96_6 = 0
% 103.67/15.21 |
% 103.67/15.21 | REDUCE: (4), (6) imply:
% 103.67/15.21 | (7) $false
% 103.67/15.21 |
% 103.67/15.21 | CLOSE: (7) is inconsistent.
% 103.67/15.21 |
% 103.67/15.21 End of proof
% 103.67/15.21
% 103.67/15.21 Sub-proof #8 shows that the following formulas are inconsistent:
% 103.67/15.21 ----------------------------------------------------------------
% 103.67/15.21 (1) l1_orders_2(all_39_10) = 0
% 103.67/15.21 (2) ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] :
% 103.67/15.21 (v1 = v0 | ~ (l1_orders_2(v2) = v1) | ~ (l1_orders_2(v2) = v0))
% 103.67/15.21 (3) l1_orders_2(all_39_10) = all_96_6
% 103.67/15.21 (4) l1_orders_2(all_39_10) = all_90_6
% 103.67/15.21 (5) ~ (all_90_6 = 0)
% 103.67/15.21
% 103.67/15.21 Begin of proof
% 103.67/15.21 |
% 103.67/15.21 | GROUND_INST: instantiating (2) with 0, all_96_6, all_39_10, simplifying with
% 103.67/15.21 | (1), (3) gives:
% 103.67/15.21 | (6) all_96_6 = 0
% 103.67/15.21 |
% 103.67/15.21 | GROUND_INST: instantiating (2) with all_90_6, all_96_6, all_39_10, simplifying
% 103.67/15.21 | with (3), (4) gives:
% 103.67/15.22 | (7) all_96_6 = all_90_6
% 103.67/15.22 |
% 103.67/15.22 | COMBINE_EQS: (6), (7) imply:
% 103.67/15.22 | (8) all_90_6 = 0
% 103.67/15.22 |
% 103.67/15.22 | REDUCE: (5), (8) imply:
% 103.67/15.22 | (9) $false
% 103.67/15.22 |
% 103.67/15.22 | CLOSE: (9) is inconsistent.
% 103.67/15.22 |
% 103.67/15.22 End of proof
% 103.67/15.22 % SZS output end Proof for theBenchmark
% 103.67/15.22
% 103.67/15.22 14596ms
%------------------------------------------------------------------------------