TSTP Solution File: CAT034+1 by Princess---230619
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- Process Solution
%------------------------------------------------------------------------------
% File : Princess---230619
% Problem : CAT034+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 : Wed Aug 30 18:18:27 EDT 2023
% Result : Theorem 157.01s 24.41s
% Output : Proof 159.27s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : CAT034+1 : TPTP v8.1.2. Released v3.4.0.
% 0.00/0.13 % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s
% 0.13/0.35 % Computer : n019.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Sun Aug 27 00:14:58 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.20/0.61 ________ _____
% 0.20/0.61 ___ __ \_________(_)________________________________
% 0.20/0.61 __ /_/ /_ ___/_ /__ __ \ ___/ _ \_ ___/_ ___/
% 0.20/0.61 _ ____/_ / _ / _ / / / /__ / __/(__ )_(__ )
% 0.20/0.61 /_/ /_/ /_/ /_/ /_/\___/ \___//____/ /____/
% 0.20/0.61
% 0.20/0.62 A Theorem Prover for First-Order Logic modulo Linear Integer Arithmetic
% 0.20/0.62 (2023-06-19)
% 0.20/0.62
% 0.20/0.62 (c) Philipp Rümmer, 2009-2023
% 0.20/0.62 Contributors: Peter Backeman, Peter Baumgartner, Angelo Brillout, Zafer Esen,
% 0.20/0.62 Amanda Stjerna.
% 0.20/0.62 Free software under BSD-3-Clause.
% 0.20/0.62
% 0.20/0.62 For more information, visit http://www.philipp.ruemmer.org/princess.shtml
% 0.20/0.62
% 0.20/0.62 Loading /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 0.20/0.63 Running up to 7 provers in parallel.
% 0.20/0.64 Prover 2: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1065072994
% 0.20/0.64 Prover 0: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893
% 0.20/0.64 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1571432423
% 0.20/0.64 Prover 3: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996
% 0.20/0.64 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696
% 0.20/0.64 Prover 5: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288
% 0.20/0.64 Prover 6: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365
% 4.50/1.39 Prover 4: Preprocessing ...
% 4.50/1.39 Prover 1: Preprocessing ...
% 4.50/1.42 Prover 2: Preprocessing ...
% 4.50/1.42 Prover 6: Preprocessing ...
% 4.50/1.42 Prover 0: Preprocessing ...
% 4.50/1.42 Prover 3: Preprocessing ...
% 4.50/1.42 Prover 5: Preprocessing ...
% 14.40/2.74 Prover 1: Warning: ignoring some quantifiers
% 15.04/2.84 Prover 3: Warning: ignoring some quantifiers
% 15.04/2.88 Prover 6: Proving ...
% 15.33/2.91 Prover 1: Constructing countermodel ...
% 16.09/2.93 Prover 3: Constructing countermodel ...
% 19.45/3.53 Prover 5: Proving ...
% 27.96/4.57 Prover 3: gave up
% 27.96/4.57 Prover 7: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470
% 28.75/4.67 Prover 7: Preprocessing ...
% 33.43/5.26 Prover 7: Warning: ignoring some quantifiers
% 34.18/5.35 Prover 7: Constructing countermodel ...
% 35.64/5.59 Prover 2: Proving ...
% 74.11/10.60 Prover 2: stopped
% 74.11/10.61 Prover 8: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089
% 74.79/10.71 Prover 8: Preprocessing ...
% 77.27/11.01 Prover 8: Warning: ignoring some quantifiers
% 77.81/11.06 Prover 8: Constructing countermodel ...
% 99.75/13.97 Prover 5: stopped
% 99.75/13.98 Prover 9: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allMinimal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1423531889
% 100.23/14.06 Prover 9: Preprocessing ...
% 108.97/15.19 Prover 1: gave up
% 108.97/15.19 Prover 10: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=919308125
% 109.66/15.31 Prover 4: Warning: ignoring some quantifiers
% 110.27/15.40 Prover 10: Preprocessing ...
% 111.29/15.48 Prover 4: Constructing countermodel ...
% 111.29/15.54 Prover 10: Warning: ignoring some quantifiers
% 112.02/15.57 Prover 10: Constructing countermodel ...
% 112.82/15.82 Prover 0: Proving ...
% 117.20/16.28 Prover 10: gave up
% 117.20/16.28 Prover 11: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1509710984
% 117.98/16.40 Prover 11: Preprocessing ...
% 129.05/17.89 Prover 6: stopped
% 129.32/17.91 Prover 12: Options: -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=2024365391
% 130.59/18.05 Prover 12: Preprocessing ...
% 132.94/18.35 Prover 12: Proving ...
% 138.43/19.07 Prover 12: stopped
% 138.43/19.07 Prover 13: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=1138197443
% 138.82/19.12 Prover 13: Preprocessing ...
% 138.82/19.25 Prover 13: Warning: ignoring some quantifiers
% 140.26/19.30 Prover 13: Constructing countermodel ...
% 143.74/19.74 Prover 7: Found proof (size 286)
% 143.74/19.74 Prover 7: proved (15052ms)
% 143.74/19.74 Prover 4: stopped
% 143.74/19.74 Prover 13: stopped
% 143.74/19.74 Prover 8: stopped
% 143.74/19.77 Prover 0: stopped
% 154.44/23.78 Prover 11: Warning: ignoring some quantifiers
% 155.86/24.09 Prover 11: Constructing countermodel ...
% 155.86/24.10 Prover 11: stopped
% 156.62/24.31 Prover 9: Warning: ignoring some quantifiers
% 157.01/24.40 Prover 9: Constructing countermodel ...
% 157.01/24.41 Prover 9: stopped
% 157.01/24.41
% 157.01/24.41 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 157.01/24.41
% 157.20/24.45 % SZS output start Proof for theBenchmark
% 157.20/24.46 Assumptions after simplification:
% 157.20/24.46 ---------------------------------
% 157.20/24.46
% 157.20/24.46 (commutativity_k2_tarski)
% 157.30/24.51 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ (k2_tarski(v1, v0) = v2) | ~
% 157.30/24.51 $i(v1) | ~ $i(v0) | (k2_tarski(v0, v1) = v2 & $i(v2))) & ! [v0: $i] : !
% 157.30/24.51 [v1: $i] : ! [v2: $i] : ( ~ (k2_tarski(v0, v1) = v2) | ~ $i(v1) | ~ $i(v0)
% 157.30/24.51 | (k2_tarski(v1, v0) = v2 & $i(v2)))
% 157.30/24.51
% 157.30/24.51 (d16_nattra_1)
% 157.55/24.52 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5:
% 157.55/24.52 $i] : ! [v6: $i] : ! [v7: $i] : ( ~ (k11_nattra_1(v0, v1) = v2) | ~
% 157.55/24.52 (k4_tarski(v6, v7) = v3) | ~ (k4_tarski(v4, v5) = v6) | ~ $i(v7) | ~
% 157.55/24.53 $i(v5) | ~ $i(v4) | ~ $i(v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~
% 157.55/24.53 r2_nattra_1(v0, v1, v4, v5) | ~ m2_nattra_1(v7, v0, v1, v4, v5) | ~
% 157.55/24.53 m2_cat_1(v5, v0, v1) | ~ m2_cat_1(v4, v0, v1) | ~ m4_nattra_1(v2, v0, v1)
% 157.55/24.53 | ~ l1_cat_1(v1) | ~ l1_cat_1(v0) | ~ v2_cat_1(v1) | ~ v2_cat_1(v0) |
% 157.55/24.53 r2_hidden(v3, v2)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] :
% 157.55/24.53 (v3 = v2 | ~ (k11_nattra_1(v0, v1) = v2) | ~ $i(v3) | ~ $i(v1) | ~ $i(v0)
% 157.55/24.53 | ~ m4_nattra_1(v3, v0, v1) | ~ l1_cat_1(v1) | ~ l1_cat_1(v0) | ~
% 157.55/24.53 v2_cat_1(v1) | ~ v2_cat_1(v0) | ? [v4: $i] : ? [v5: $i] : ? [v6: $i] :
% 157.55/24.53 ? [v7: $i] : ? [v8: $i] : ? [v9: $i] : ($i(v8) & $i(v6) & $i(v5) & $i(v4)
% 157.55/24.53 & ( ~ r2_hidden(v4, v3) | ! [v10: $i] : ! [v11: $i] : ! [v12: $i] : !
% 157.55/24.53 [v13: $i] : ( ~ (k4_tarski(v12, v13) = v4) | ~ (k4_tarski(v10, v11) =
% 157.55/24.53 v12) | ~ $i(v13) | ~ $i(v11) | ~ $i(v10) | ~ r2_nattra_1(v0, v1,
% 157.55/24.53 v10, v11) | ~ m2_nattra_1(v13, v0, v1, v10, v11) | ~ m2_cat_1(v11,
% 157.55/24.53 v0, v1) | ~ m2_cat_1(v10, v0, v1))) & (r2_hidden(v4, v3) | (v9 = v4
% 157.55/24.53 & k4_tarski(v7, v8) = v4 & k4_tarski(v5, v6) = v7 & $i(v7) &
% 157.55/24.53 r2_nattra_1(v0, v1, v5, v6) & m2_nattra_1(v8, v0, v1, v5, v6) &
% 157.55/24.53 m2_cat_1(v6, v0, v1) & m2_cat_1(v5, v0, v1))))) & ! [v0: $i] : !
% 157.55/24.53 [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~ (k11_nattra_1(v0, v1) = v2) | ~
% 157.55/24.53 $i(v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~ m4_nattra_1(v2, v0, v1) | ~
% 157.55/24.53 r2_hidden(v3, v2) | ~ l1_cat_1(v1) | ~ l1_cat_1(v0) | ~ v2_cat_1(v1) | ~
% 157.55/24.53 v2_cat_1(v0) | ? [v4: $i] : ? [v5: $i] : ? [v6: $i] : ? [v7: $i] :
% 157.55/24.53 (k4_tarski(v6, v7) = v3 & k4_tarski(v4, v5) = v6 & $i(v7) & $i(v6) & $i(v5)
% 157.55/24.53 & $i(v4) & r2_nattra_1(v0, v1, v4, v5) & m2_nattra_1(v7, v0, v1, v4, v5) &
% 157.55/24.53 m2_cat_1(v5, v0, v1) & m2_cat_1(v4, v0, v1)))
% 157.55/24.53
% 157.55/24.53 (d18_nattra_1)
% 157.83/24.71 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ (k7_cat_2(v0, v1) = v2) | ~
% 157.83/24.71 $i(v1) | ~ $i(v0) | ~ l1_cat_1(v1) | ~ l1_cat_1(v0) | ~ v2_cat_1(v1) |
% 157.83/24.71 ~ v2_cat_1(v0) | ? [v3: $i] : ? [v4: $i] : (k12_nattra_1(v0, v1) = v3 &
% 157.83/24.71 k11_nattra_1(v0, v1) = v4 & $i(v4) & $i(v3) & ! [v5: $i] : ! [v6: $i] :
% 157.83/24.71 ( ~ (u1_cat_1(v5) = v6) | ~ $i(v5) | ~ v1_cat_1(v5) | ~ l1_cat_1(v5) |
% 157.83/24.71 ~ v2_cat_1(v5) | ? [v7: $i] : ? [v8: $i] : ? [v9: $i] : ? [v10: $i]
% 157.83/24.71 : ? [v11: $i] : ? [v12: $i] : ? [v13: $i] : ? [v14: $i] : ? [v15:
% 157.83/24.71 $i] : ? [v16: $i] : ? [v17: $i] : ? [v18: $i] : ? [v19: $i] : ?
% 157.83/24.71 [v20: $i] : ? [v21: $i] : ? [v22: $i] : ? [v23: $i] : ? [v24: $i] :
% 157.83/24.71 ? [v25: $i] : ? [v26: $i] : ? [v27: $i] : ? [v28: $i] : ? [v29: $i]
% 157.83/24.71 : ? [v30: $i] : ($i(v25) & $i(v22) & $i(v20) & $i(v17) & $i(v16) &
% 157.83/24.71 $i(v12) & $i(v10) & ( ~ (v6 = v2) | v5 = v3 | (v23 = v21 &
% 157.83/24.71 k1_relat_1(v8) = v9 & k13_cat_2(v5, v5, v22, v20) = v24 &
% 157.83/24.71 k2_cat_1(v5, v22) = v21 & k3_cat_1(v5, v20) = v21 & u2_cat_1(v5) =
% 157.83/24.71 v7 & u5_cat_1(v5) = v8 & $i(v24) & $i(v21) & $i(v9) & $i(v8) &
% 157.83/24.71 $i(v7) & m1_subset_1(v22, v7) & m1_subset_1(v20, v7) & ~
% 157.83/24.71 r2_hidden(v24, v9)) | (v12 = v10 & ~ (v15 = v11) & k10_cat_1(v5,
% 157.83/24.71 v10) = v11 & k7_nattra_1(v0, v1, v10) = v14 & k4_tarski(v13,
% 157.83/24.71 v14) = v15 & k4_tarski(v10, v10) = v13 & $i(v15) & $i(v14) &
% 157.83/24.71 $i(v13) & $i(v11) & m2_cat_1(v10, v0, v1) & m1_subset_1(v10, v2))
% 157.83/24.71 | ( ~ (v7 = v4) & u2_cat_1(v5) = v7 & $i(v7)) | (k1_relat_1(v8) = v9
% 157.83/24.71 & k1_funct_1(v8, v18) = v19 & k13_cat_2(v5, v5, v17, v16) = v18 &
% 157.83/24.71 u2_cat_1(v5) = v7 & u5_cat_1(v5) = v8 & $i(v19) & $i(v18) & $i(v9)
% 157.83/24.71 & $i(v8) & $i(v7) & r2_hidden(v18, v9) & m1_subset_1(v17, v7) &
% 157.83/24.71 m1_subset_1(v16, v7) & ! [v31: $i] : ! [v32: $i] : ! [v33: $i]
% 157.83/24.71 : ! [v34: $i] : ! [v35: $i] : ( ~ (k4_tarski(v32, v34) = v35) |
% 157.83/24.71 ~ (k4_tarski(v31, v32) = v33) | ~ $i(v34) | ~ $i(v32) | ~
% 157.83/24.71 $i(v31) | ~ m2_cat_1(v34, v0, v1) | ~ m2_cat_1(v32, v0, v1) |
% 157.83/24.71 ~ m2_cat_1(v31, v0, v1) | ? [v36: $i] : (k4_tarski(v31, v34) =
% 157.83/24.71 v36 & $i(v36) & ! [v37: $i] : ! [v38: $i] : ! [v39: $i] : (
% 157.83/24.71 ~ (k8_nattra_1(v0, v1, v31, v32, v34, v37, v38) = v39) | ~
% 157.83/24.71 (k4_tarski(v33, v37) = v16) | ~ $i(v38) | ~ $i(v37) | ~
% 157.83/24.71 m2_nattra_1(v38, v0, v1, v32, v34) | ~ m2_nattra_1(v37, v0,
% 157.83/24.71 v1, v31, v32) | ? [v40: $i] : ? [v41: $i] : (( ~ (v41 =
% 157.83/24.71 v19) & k4_tarski(v36, v39) = v41 & $i(v41)) | ( ~ (v40
% 157.83/24.71 = v17) & k4_tarski(v35, v38) = v40 & $i(v40)))) & !
% 157.83/24.71 [v37: $i] : ! [v38: $i] : ( ~ (k4_tarski(v35, v38) = v17) |
% 157.83/24.71 ~ (k4_tarski(v33, v37) = v16) | ~ $i(v38) | ~ $i(v37) | ~
% 157.83/24.71 m2_nattra_1(v38, v0, v1, v32, v34) | ~ m2_nattra_1(v37, v0,
% 157.83/24.71 v1, v31, v32) | ? [v39: $i] : ? [v40: $i] : ( ~ (v40 =
% 157.83/24.71 v19) & k8_nattra_1(v0, v1, v31, v32, v34, v37, v38) =
% 157.83/24.71 v39 & k4_tarski(v36, v39) = v40 & $i(v40) & $i(v39))))) &
% 157.83/24.71 ! [v31: $i] : ! [v32: $i] : ! [v33: $i] : ! [v34: $i] : !
% 157.83/24.72 [v35: $i] : ( ~ (k4_tarski(v31, v34) = v35) | ~ (k4_tarski(v31,
% 157.83/24.72 v32) = v33) | ~ $i(v34) | ~ $i(v32) | ~ $i(v31) | ~
% 157.83/24.72 m2_cat_1(v34, v0, v1) | ~ m2_cat_1(v32, v0, v1) | ~
% 157.83/24.72 m2_cat_1(v31, v0, v1) | ? [v36: $i] : (k4_tarski(v32, v34) =
% 157.83/24.72 v36 & $i(v36) & ! [v37: $i] : ! [v38: $i] : ! [v39: $i] : (
% 157.83/24.72 ~ (k8_nattra_1(v0, v1, v31, v32, v34, v37, v38) = v39) | ~
% 157.83/24.72 (k4_tarski(v33, v37) = v16) | ~ $i(v38) | ~ $i(v37) | ~
% 157.83/24.72 m2_nattra_1(v38, v0, v1, v32, v34) | ~ m2_nattra_1(v37, v0,
% 157.83/24.72 v1, v31, v32) | ? [v40: $i] : ? [v41: $i] : (( ~ (v41 =
% 157.83/24.72 v19) & k4_tarski(v35, v39) = v41 & $i(v41)) | ( ~ (v40
% 157.83/24.72 = v17) & k4_tarski(v36, v38) = v40 & $i(v40)))) & !
% 157.83/24.72 [v37: $i] : ! [v38: $i] : ( ~ (k4_tarski(v36, v38) = v17) |
% 157.83/24.72 ~ (k4_tarski(v33, v37) = v16) | ~ $i(v38) | ~ $i(v37) | ~
% 157.83/24.72 m2_nattra_1(v38, v0, v1, v32, v34) | ~ m2_nattra_1(v37, v0,
% 157.83/24.72 v1, v31, v32) | ? [v39: $i] : ? [v40: $i] : ( ~ (v40 =
% 157.83/24.72 v19) & k8_nattra_1(v0, v1, v31, v32, v34, v37, v38) =
% 157.83/24.72 v39 & k4_tarski(v35, v39) = v40 & $i(v40) & $i(v39)))))) |
% 157.83/24.72 (k1_mcart_1(v25) = v27 & u2_cat_1(v5) = v7 & $i(v27) & $i(v7) &
% 157.83/24.72 m1_subset_1(v25, v7) & (( ~ (v30 = v29) & k3_cat_1(v5, v25) = v29
% 157.83/24.72 & k2_mcart_1(v27) = v30 & $i(v30) & $i(v29)) | ( ~ (v28 = v26)
% 157.83/24.72 & k2_cat_1(v5, v25) = v26 & k1_mcart_1(v27) = v28 & $i(v28) &
% 157.83/24.72 $i(v26))))) & ( ~ (v5 = v3) | (v7 = v4 & v6 = v2 &
% 157.83/24.72 k1_relat_1(v8) = v9 & u2_cat_1(v3) = v4 & u5_cat_1(v3) = v8 &
% 157.83/24.72 $i(v9) & $i(v8) & ! [v31: $i] : ! [v32: $i] : ! [v33: $i] : !
% 157.83/24.72 [v34: $i] : ( ~ (k13_cat_2(v3, v3, v33, v31) = v34) | ~
% 157.83/24.72 (k3_cat_1(v3, v31) = v32) | ~ $i(v33) | ~ $i(v31) | ~
% 157.83/24.72 m1_subset_1(v33, v4) | ~ m1_subset_1(v31, v4) | r2_hidden(v34,
% 157.83/24.72 v9) | ? [v35: $i] : ( ~ (v35 = v32) & k2_cat_1(v3, v33) = v35
% 157.83/24.72 & $i(v35))) & ! [v31: $i] : ! [v32: $i] : ! [v33: $i] : ( ~
% 157.83/24.72 (k10_cat_1(v3, v31) = v32) | ~ (k7_nattra_1(v0, v1, v31) = v33)
% 157.83/24.72 | ~ $i(v31) | ~ m2_cat_1(v31, v0, v1) | ~ m1_subset_1(v31,
% 157.83/24.72 v2) | ? [v34: $i] : (k4_tarski(v34, v33) = v32 &
% 157.83/24.72 k4_tarski(v31, v31) = v34 & $i(v34) & $i(v32))) & ! [v31: $i]
% 157.83/24.72 : ! [v32: $i] : ! [v33: $i] : ( ~ (k10_cat_1(v3, v31) = v32) |
% 157.83/24.72 ~ (k4_tarski(v31, v31) = v33) | ~ $i(v31) | ~ m2_cat_1(v31,
% 157.83/24.72 v0, v1) | ~ m1_subset_1(v31, v2) | ? [v34: $i] :
% 157.83/24.72 (k7_nattra_1(v0, v1, v31) = v34 & k4_tarski(v33, v34) = v32 &
% 157.83/24.72 $i(v34) & $i(v32))) & ! [v31: $i] : ! [v32: $i] : ! [v33:
% 157.83/24.72 $i] : ( ~ (k13_cat_2(v3, v3, v32, v31) = v33) | ~ $i(v32) | ~
% 157.83/24.72 $i(v31) | ~ r2_hidden(v33, v9) | ~ m1_subset_1(v32, v4) | ~
% 157.83/24.72 m1_subset_1(v31, v4) | ? [v34: $i] : ? [v35: $i] : ? [v36:
% 157.83/24.72 $i] : ? [v37: $i] : ? [v38: $i] : ? [v39: $i] : ? [v40:
% 157.83/24.72 $i] : ? [v41: $i] : ? [v42: $i] : ? [v43: $i] :
% 157.83/24.72 (k1_funct_1(v8, v33) = v34 & k8_nattra_1(v0, v1, v35, v36, v38,
% 157.83/24.72 v41, v42) = v43 & k4_tarski(v40, v43) = v34 & k4_tarski(v39,
% 157.83/24.72 v42) = v32 & k4_tarski(v37, v41) = v31 & k4_tarski(v36, v38)
% 157.83/24.72 = v39 & k4_tarski(v35, v38) = v40 & k4_tarski(v35, v36) = v37
% 157.83/24.72 & $i(v43) & $i(v42) & $i(v41) & $i(v40) & $i(v39) & $i(v38) &
% 157.83/24.72 $i(v37) & $i(v36) & $i(v35) & $i(v34) & m2_nattra_1(v42, v0,
% 157.83/24.72 v1, v36, v38) & m2_nattra_1(v41, v0, v1, v35, v36) &
% 157.83/24.72 m2_cat_1(v38, v0, v1) & m2_cat_1(v36, v0, v1) & m2_cat_1(v35,
% 157.83/24.72 v0, v1))) & ! [v31: $i] : ! [v32: $i] : ! [v33: $i] : ( ~
% 157.83/24.72 (k2_cat_1(v3, v33) = v32) | ~ (k3_cat_1(v3, v31) = v32) | ~
% 157.83/24.72 $i(v33) | ~ $i(v31) | ~ m1_subset_1(v33, v4) | ~
% 157.83/24.72 m1_subset_1(v31, v4) | ? [v34: $i] : (k13_cat_2(v3, v3, v33,
% 157.83/24.72 v31) = v34 & $i(v34) & r2_hidden(v34, v9))) & ! [v31: $i] :
% 157.83/24.72 ! [v32: $i] : ( ~ (k2_cat_1(v3, v31) = v32) | ~ $i(v31) | ~
% 157.83/24.72 m1_subset_1(v31, v4) | ? [v33: $i] : ? [v34: $i] :
% 157.83/24.72 (k1_mcart_1(v33) = v32 & k1_mcart_1(v31) = v33 & k3_cat_1(v3,
% 157.83/24.72 v31) = v34 & k2_mcart_1(v33) = v34 & $i(v34) & $i(v33) &
% 157.83/24.72 $i(v32))) & ! [v31: $i] : ! [v32: $i] : ( ~ (k1_mcart_1(v31)
% 157.83/24.72 = v32) | ~ $i(v31) | ~ m1_subset_1(v31, v4) | ? [v33: $i] :
% 157.83/24.72 ? [v34: $i] : (k2_cat_1(v3, v31) = v33 & k1_mcart_1(v32) = v33
% 157.83/24.72 & k3_cat_1(v3, v31) = v34 & k2_mcart_1(v32) = v34 & $i(v34) &
% 157.83/24.72 $i(v33))) & ! [v31: $i] : ! [v32: $i] : ( ~ (k3_cat_1(v3,
% 157.83/24.72 v31) = v32) | ~ $i(v31) | ~ m1_subset_1(v31, v4) | ?
% 157.83/24.72 [v33: $i] : ? [v34: $i] : (k2_cat_1(v3, v31) = v33 &
% 157.83/24.72 k1_mcart_1(v34) = v33 & k1_mcart_1(v31) = v34 &
% 157.83/24.72 k2_mcart_1(v34) = v32 & $i(v34) & $i(v33) & $i(v32))))))) & !
% 157.83/24.72 [v5: $i] : ! [v6: $i] : ( ~ (u2_cat_1(v5) = v6) | ~ $i(v5) | ~
% 157.83/24.72 v1_cat_1(v5) | ~ l1_cat_1(v5) | ~ v2_cat_1(v5) | ? [v7: $i] : ? [v8:
% 157.83/24.72 $i] : ? [v9: $i] : ? [v10: $i] : ? [v11: $i] : ? [v12: $i] : ?
% 157.83/24.72 [v13: $i] : ? [v14: $i] : ? [v15: $i] : ? [v16: $i] : ? [v17: $i] :
% 157.83/24.72 ? [v18: $i] : ? [v19: $i] : ? [v20: $i] : ? [v21: $i] : ? [v22: $i]
% 157.83/24.72 : ? [v23: $i] : ? [v24: $i] : ? [v25: $i] : ? [v26: $i] : ? [v27:
% 157.83/24.72 $i] : ? [v28: $i] : ? [v29: $i] : ? [v30: $i] : ($i(v25) & $i(v22)
% 157.83/24.72 & $i(v20) & $i(v17) & $i(v16) & $i(v12) & $i(v10) & ( ~ (v6 = v4) | v5
% 157.83/24.72 = v3 | (v23 = v21 & k1_relat_1(v8) = v9 & k13_cat_2(v5, v5, v22,
% 157.83/24.72 v20) = v24 & k2_cat_1(v5, v22) = v21 & k3_cat_1(v5, v20) = v21 &
% 157.83/24.72 u5_cat_1(v5) = v8 & $i(v24) & $i(v21) & $i(v9) & $i(v8) &
% 157.83/24.72 m1_subset_1(v22, v4) & m1_subset_1(v20, v4) & ~ r2_hidden(v24,
% 157.83/24.72 v9)) | (v12 = v10 & ~ (v15 = v11) & k10_cat_1(v5, v10) = v11 &
% 157.83/24.72 k7_nattra_1(v0, v1, v10) = v14 & k4_tarski(v13, v14) = v15 &
% 157.83/24.72 k4_tarski(v10, v10) = v13 & u1_cat_1(v5) = v7 & $i(v15) & $i(v14)
% 157.83/24.72 & $i(v13) & $i(v11) & $i(v7) & m2_cat_1(v10, v0, v1) &
% 157.83/24.72 m1_subset_1(v10, v7)) | ( ~ (v7 = v2) & u1_cat_1(v5) = v7 &
% 157.83/24.72 $i(v7)) | (k1_relat_1(v8) = v9 & k1_funct_1(v8, v18) = v19 &
% 157.83/24.72 k13_cat_2(v5, v5, v17, v16) = v18 & u5_cat_1(v5) = v8 & $i(v19) &
% 157.83/24.72 $i(v18) & $i(v9) & $i(v8) & r2_hidden(v18, v9) & m1_subset_1(v17,
% 157.83/24.72 v4) & m1_subset_1(v16, v4) & ! [v31: $i] : ! [v32: $i] : !
% 157.83/24.72 [v33: $i] : ! [v34: $i] : ! [v35: $i] : ( ~ (k4_tarski(v32, v34)
% 157.83/24.72 = v35) | ~ (k4_tarski(v31, v32) = v33) | ~ $i(v34) | ~
% 157.83/24.72 $i(v32) | ~ $i(v31) | ~ m2_cat_1(v34, v0, v1) | ~
% 157.83/24.72 m2_cat_1(v32, v0, v1) | ~ m2_cat_1(v31, v0, v1) | ? [v36: $i]
% 157.83/24.72 : (k4_tarski(v31, v34) = v36 & $i(v36) & ! [v37: $i] : ! [v38:
% 157.83/24.72 $i] : ! [v39: $i] : ( ~ (k8_nattra_1(v0, v1, v31, v32, v34,
% 157.83/24.72 v37, v38) = v39) | ~ (k4_tarski(v33, v37) = v16) | ~
% 157.83/24.72 $i(v38) | ~ $i(v37) | ~ m2_nattra_1(v38, v0, v1, v32, v34)
% 157.83/24.72 | ~ m2_nattra_1(v37, v0, v1, v31, v32) | ? [v40: $i] : ?
% 157.83/24.72 [v41: $i] : (( ~ (v41 = v19) & k4_tarski(v36, v39) = v41 &
% 157.83/24.72 $i(v41)) | ( ~ (v40 = v17) & k4_tarski(v35, v38) = v40 &
% 157.83/24.72 $i(v40)))) & ! [v37: $i] : ! [v38: $i] : ( ~
% 157.83/24.72 (k4_tarski(v35, v38) = v17) | ~ (k4_tarski(v33, v37) = v16)
% 157.83/24.72 | ~ $i(v38) | ~ $i(v37) | ~ m2_nattra_1(v38, v0, v1, v32,
% 157.83/24.72 v34) | ~ m2_nattra_1(v37, v0, v1, v31, v32) | ? [v39:
% 157.83/24.72 $i] : ? [v40: $i] : ( ~ (v40 = v19) & k8_nattra_1(v0, v1,
% 157.83/24.72 v31, v32, v34, v37, v38) = v39 & k4_tarski(v36, v39) =
% 157.83/24.72 v40 & $i(v40) & $i(v39))))) & ! [v31: $i] : ! [v32: $i]
% 157.83/24.72 : ! [v33: $i] : ! [v34: $i] : ! [v35: $i] : ( ~ (k4_tarski(v31,
% 157.83/24.72 v34) = v35) | ~ (k4_tarski(v31, v32) = v33) | ~ $i(v34) |
% 157.83/24.72 ~ $i(v32) | ~ $i(v31) | ~ m2_cat_1(v34, v0, v1) | ~
% 157.83/24.72 m2_cat_1(v32, v0, v1) | ~ m2_cat_1(v31, v0, v1) | ? [v36: $i]
% 157.83/24.72 : (k4_tarski(v32, v34) = v36 & $i(v36) & ! [v37: $i] : ! [v38:
% 157.83/24.72 $i] : ! [v39: $i] : ( ~ (k8_nattra_1(v0, v1, v31, v32, v34,
% 157.83/24.72 v37, v38) = v39) | ~ (k4_tarski(v33, v37) = v16) | ~
% 157.83/24.72 $i(v38) | ~ $i(v37) | ~ m2_nattra_1(v38, v0, v1, v32, v34)
% 157.83/24.72 | ~ m2_nattra_1(v37, v0, v1, v31, v32) | ? [v40: $i] : ?
% 157.83/24.72 [v41: $i] : (( ~ (v41 = v19) & k4_tarski(v35, v39) = v41 &
% 157.83/24.72 $i(v41)) | ( ~ (v40 = v17) & k4_tarski(v36, v38) = v40 &
% 157.83/24.72 $i(v40)))) & ! [v37: $i] : ! [v38: $i] : ( ~
% 157.83/24.72 (k4_tarski(v36, v38) = v17) | ~ (k4_tarski(v33, v37) = v16)
% 157.83/24.72 | ~ $i(v38) | ~ $i(v37) | ~ m2_nattra_1(v38, v0, v1, v32,
% 157.83/24.72 v34) | ~ m2_nattra_1(v37, v0, v1, v31, v32) | ? [v39:
% 157.83/24.72 $i] : ? [v40: $i] : ( ~ (v40 = v19) & k8_nattra_1(v0, v1,
% 157.83/24.72 v31, v32, v34, v37, v38) = v39 & k4_tarski(v35, v39) =
% 157.83/24.72 v40 & $i(v40) & $i(v39)))))) | (k1_mcart_1(v25) = v27 &
% 157.83/24.72 $i(v27) & m1_subset_1(v25, v4) & (( ~ (v30 = v29) & k3_cat_1(v5,
% 157.83/24.72 v25) = v29 & k2_mcart_1(v27) = v30 & $i(v30) & $i(v29)) | (
% 157.83/24.72 ~ (v28 = v26) & k2_cat_1(v5, v25) = v26 & k1_mcart_1(v27) =
% 157.83/24.72 v28 & $i(v28) & $i(v26))))) & ( ~ (v5 = v3) | (v7 = v2 & v6 =
% 157.83/24.72 v4 & k1_relat_1(v8) = v9 & u1_cat_1(v3) = v2 & u5_cat_1(v3) = v8 &
% 157.83/24.72 $i(v9) & $i(v8) & $i(v2) & ! [v31: $i] : ! [v32: $i] : ! [v33:
% 157.83/24.72 $i] : ! [v34: $i] : ( ~ (k13_cat_2(v3, v3, v33, v31) = v34) |
% 157.83/24.72 ~ (k3_cat_1(v3, v31) = v32) | ~ $i(v33) | ~ $i(v31) | ~
% 157.83/24.72 m1_subset_1(v33, v4) | ~ m1_subset_1(v31, v4) | r2_hidden(v34,
% 157.83/24.72 v9) | ? [v35: $i] : ( ~ (v35 = v32) & k2_cat_1(v3, v33) = v35
% 157.83/24.72 & $i(v35))) & ! [v31: $i] : ! [v32: $i] : ! [v33: $i] : ( ~
% 157.83/24.72 (k10_cat_1(v3, v31) = v32) | ~ (k7_nattra_1(v0, v1, v31) = v33)
% 157.83/24.72 | ~ $i(v31) | ~ m2_cat_1(v31, v0, v1) | ~ m1_subset_1(v31,
% 157.83/24.72 v2) | ? [v34: $i] : (k4_tarski(v34, v33) = v32 &
% 157.83/24.72 k4_tarski(v31, v31) = v34 & $i(v34) & $i(v32))) & ! [v31: $i]
% 157.83/24.72 : ! [v32: $i] : ! [v33: $i] : ( ~ (k10_cat_1(v3, v31) = v32) |
% 157.83/24.72 ~ (k4_tarski(v31, v31) = v33) | ~ $i(v31) | ~ m2_cat_1(v31,
% 157.83/24.72 v0, v1) | ~ m1_subset_1(v31, v2) | ? [v34: $i] :
% 157.83/24.72 (k7_nattra_1(v0, v1, v31) = v34 & k4_tarski(v33, v34) = v32 &
% 157.83/24.72 $i(v34) & $i(v32))) & ! [v31: $i] : ! [v32: $i] : ! [v33:
% 157.83/24.72 $i] : ( ~ (k13_cat_2(v3, v3, v32, v31) = v33) | ~ $i(v32) | ~
% 157.83/24.72 $i(v31) | ~ r2_hidden(v33, v9) | ~ m1_subset_1(v32, v4) | ~
% 157.83/24.72 m1_subset_1(v31, v4) | ? [v34: $i] : ? [v35: $i] : ? [v36:
% 157.83/24.72 $i] : ? [v37: $i] : ? [v38: $i] : ? [v39: $i] : ? [v40:
% 157.83/24.72 $i] : ? [v41: $i] : ? [v42: $i] : ? [v43: $i] :
% 157.83/24.72 (k1_funct_1(v8, v33) = v34 & k8_nattra_1(v0, v1, v35, v36, v38,
% 157.83/24.72 v41, v42) = v43 & k4_tarski(v40, v43) = v34 & k4_tarski(v39,
% 157.83/24.72 v42) = v32 & k4_tarski(v37, v41) = v31 & k4_tarski(v36, v38)
% 157.83/24.72 = v39 & k4_tarski(v35, v38) = v40 & k4_tarski(v35, v36) = v37
% 157.83/24.72 & $i(v43) & $i(v42) & $i(v41) & $i(v40) & $i(v39) & $i(v38) &
% 157.83/24.72 $i(v37) & $i(v36) & $i(v35) & $i(v34) & m2_nattra_1(v42, v0,
% 157.83/24.72 v1, v36, v38) & m2_nattra_1(v41, v0, v1, v35, v36) &
% 157.83/24.72 m2_cat_1(v38, v0, v1) & m2_cat_1(v36, v0, v1) & m2_cat_1(v35,
% 157.83/24.72 v0, v1))) & ! [v31: $i] : ! [v32: $i] : ! [v33: $i] : ( ~
% 157.83/24.72 (k2_cat_1(v3, v33) = v32) | ~ (k3_cat_1(v3, v31) = v32) | ~
% 157.83/24.72 $i(v33) | ~ $i(v31) | ~ m1_subset_1(v33, v4) | ~
% 157.83/24.72 m1_subset_1(v31, v4) | ? [v34: $i] : (k13_cat_2(v3, v3, v33,
% 157.83/24.72 v31) = v34 & $i(v34) & r2_hidden(v34, v9))) & ! [v31: $i] :
% 157.83/24.72 ! [v32: $i] : ( ~ (k2_cat_1(v3, v31) = v32) | ~ $i(v31) | ~
% 157.83/24.72 m1_subset_1(v31, v4) | ? [v33: $i] : ? [v34: $i] :
% 157.83/24.72 (k1_mcart_1(v33) = v32 & k1_mcart_1(v31) = v33 & k3_cat_1(v3,
% 157.83/24.72 v31) = v34 & k2_mcart_1(v33) = v34 & $i(v34) & $i(v33) &
% 157.83/24.72 $i(v32))) & ! [v31: $i] : ! [v32: $i] : ( ~ (k1_mcart_1(v31)
% 157.83/24.72 = v32) | ~ $i(v31) | ~ m1_subset_1(v31, v4) | ? [v33: $i] :
% 157.83/24.72 ? [v34: $i] : (k2_cat_1(v3, v31) = v33 & k1_mcart_1(v32) = v33
% 157.83/24.72 & k3_cat_1(v3, v31) = v34 & k2_mcart_1(v32) = v34 & $i(v34) &
% 157.83/24.72 $i(v33))) & ! [v31: $i] : ! [v32: $i] : ( ~ (k3_cat_1(v3,
% 157.83/24.72 v31) = v32) | ~ $i(v31) | ~ m1_subset_1(v31, v4) | ?
% 157.83/24.72 [v33: $i] : ? [v34: $i] : (k2_cat_1(v3, v31) = v33 &
% 157.83/24.72 k1_mcart_1(v34) = v33 & k1_mcart_1(v31) = v34 &
% 157.83/24.72 k2_mcart_1(v34) = v32 & $i(v34) & $i(v33) & $i(v32))))))) & !
% 157.83/24.72 [v5: $i] : ! [v6: $i] : ( ~ (u5_cat_1(v5) = v6) | ~ $i(v5) | ~
% 157.83/24.72 v1_cat_1(v5) | ~ l1_cat_1(v5) | ~ v2_cat_1(v5) | ? [v7: $i] : ? [v8:
% 157.83/24.72 $i] : ? [v9: $i] : ? [v10: $i] : ? [v11: $i] : ? [v12: $i] : ?
% 157.83/24.72 [v13: $i] : ? [v14: $i] : ? [v15: $i] : ? [v16: $i] : ? [v17: $i] :
% 157.83/24.72 ? [v18: $i] : ? [v19: $i] : ? [v20: $i] : ? [v21: $i] : ? [v22: $i]
% 157.83/24.72 : ? [v23: $i] : ? [v24: $i] : ? [v25: $i] : ? [v26: $i] : ? [v27:
% 157.83/24.72 $i] : ? [v28: $i] : ? [v29: $i] : ? [v30: $i] : ($i(v25) & $i(v22)
% 157.83/24.72 & $i(v20) & $i(v17) & $i(v16) & $i(v12) & $i(v10) & ( ~ (v5 = v3) |
% 157.83/24.72 (v8 = v4 & v7 = v2 & k1_relat_1(v6) = v9 & u1_cat_1(v3) = v2 &
% 157.83/24.72 u2_cat_1(v3) = v4 & $i(v9) & $i(v2) & ! [v31: $i] : ! [v32: $i]
% 157.83/24.72 : ! [v33: $i] : ! [v34: $i] : ( ~ (k13_cat_2(v3, v3, v33, v31) =
% 157.83/24.72 v34) | ~ (k3_cat_1(v3, v31) = v32) | ~ $i(v33) | ~ $i(v31)
% 157.83/24.72 | ~ m1_subset_1(v33, v4) | ~ m1_subset_1(v31, v4) |
% 157.83/24.72 r2_hidden(v34, v9) | ? [v35: $i] : ( ~ (v35 = v32) &
% 157.83/24.72 k2_cat_1(v3, v33) = v35 & $i(v35))) & ! [v31: $i] : ! [v32:
% 157.83/24.72 $i] : ! [v33: $i] : ( ~ (k10_cat_1(v3, v31) = v32) | ~
% 157.83/24.72 (k7_nattra_1(v0, v1, v31) = v33) | ~ $i(v31) | ~ m2_cat_1(v31,
% 157.83/24.72 v0, v1) | ~ m1_subset_1(v31, v2) | ? [v34: $i] :
% 157.83/24.72 (k4_tarski(v34, v33) = v32 & k4_tarski(v31, v31) = v34 & $i(v34)
% 157.83/24.72 & $i(v32))) & ! [v31: $i] : ! [v32: $i] : ! [v33: $i] : ( ~
% 157.83/24.72 (k10_cat_1(v3, v31) = v32) | ~ (k4_tarski(v31, v31) = v33) | ~
% 157.83/24.72 $i(v31) | ~ m2_cat_1(v31, v0, v1) | ~ m1_subset_1(v31, v2) |
% 157.83/24.72 ? [v34: $i] : (k7_nattra_1(v0, v1, v31) = v34 & k4_tarski(v33,
% 157.83/24.72 v34) = v32 & $i(v34) & $i(v32))) & ! [v31: $i] : ! [v32:
% 157.83/24.72 $i] : ! [v33: $i] : ( ~ (k13_cat_2(v3, v3, v32, v31) = v33) |
% 157.83/24.72 ~ $i(v32) | ~ $i(v31) | ~ r2_hidden(v33, v9) | ~
% 157.83/24.72 m1_subset_1(v32, v4) | ~ m1_subset_1(v31, v4) | ? [v34: $i] :
% 157.83/24.72 ? [v35: $i] : ? [v36: $i] : ? [v37: $i] : ? [v38: $i] : ?
% 157.83/24.72 [v39: $i] : ? [v40: $i] : ? [v41: $i] : ? [v42: $i] : ?
% 157.83/24.72 [v43: $i] : (k1_funct_1(v6, v33) = v34 & k8_nattra_1(v0, v1,
% 157.83/24.72 v35, v36, v38, v41, v42) = v43 & k4_tarski(v40, v43) = v34 &
% 157.83/24.72 k4_tarski(v39, v42) = v32 & k4_tarski(v37, v41) = v31 &
% 157.83/24.72 k4_tarski(v36, v38) = v39 & k4_tarski(v35, v38) = v40 &
% 157.83/24.72 k4_tarski(v35, v36) = v37 & $i(v43) & $i(v42) & $i(v41) &
% 157.83/24.72 $i(v40) & $i(v39) & $i(v38) & $i(v37) & $i(v36) & $i(v35) &
% 157.83/24.72 $i(v34) & m2_nattra_1(v42, v0, v1, v36, v38) &
% 157.83/24.72 m2_nattra_1(v41, v0, v1, v35, v36) & m2_cat_1(v38, v0, v1) &
% 157.83/24.72 m2_cat_1(v36, v0, v1) & m2_cat_1(v35, v0, v1))) & ! [v31: $i]
% 157.83/24.72 : ! [v32: $i] : ! [v33: $i] : ( ~ (k2_cat_1(v3, v33) = v32) | ~
% 157.83/24.72 (k3_cat_1(v3, v31) = v32) | ~ $i(v33) | ~ $i(v31) | ~
% 157.83/24.72 m1_subset_1(v33, v4) | ~ m1_subset_1(v31, v4) | ? [v34: $i] :
% 157.83/24.72 (k13_cat_2(v3, v3, v33, v31) = v34 & $i(v34) & r2_hidden(v34,
% 157.83/24.72 v9))) & ! [v31: $i] : ! [v32: $i] : ( ~ (k2_cat_1(v3, v31)
% 157.83/24.72 = v32) | ~ $i(v31) | ~ m1_subset_1(v31, v4) | ? [v33: $i] :
% 157.83/24.72 ? [v34: $i] : (k1_mcart_1(v33) = v32 & k1_mcart_1(v31) = v33 &
% 157.83/24.72 k3_cat_1(v3, v31) = v34 & k2_mcart_1(v33) = v34 & $i(v34) &
% 157.83/24.72 $i(v33) & $i(v32))) & ! [v31: $i] : ! [v32: $i] : ( ~
% 157.83/24.72 (k1_mcart_1(v31) = v32) | ~ $i(v31) | ~ m1_subset_1(v31, v4) |
% 157.83/24.72 ? [v33: $i] : ? [v34: $i] : (k2_cat_1(v3, v31) = v33 &
% 157.83/24.72 k1_mcart_1(v32) = v33 & k3_cat_1(v3, v31) = v34 &
% 157.83/24.72 k2_mcart_1(v32) = v34 & $i(v34) & $i(v33))) & ! [v31: $i] :
% 157.83/24.72 ! [v32: $i] : ( ~ (k3_cat_1(v3, v31) = v32) | ~ $i(v31) | ~
% 157.83/24.72 m1_subset_1(v31, v4) | ? [v33: $i] : ? [v34: $i] :
% 157.83/24.72 (k2_cat_1(v3, v31) = v33 & k1_mcart_1(v34) = v33 &
% 157.83/24.72 k1_mcart_1(v31) = v34 & k2_mcart_1(v34) = v32 & $i(v34) &
% 157.83/24.72 $i(v33) & $i(v32))))) & (v5 = v3 | (v23 = v21 & k1_relat_1(v6)
% 157.83/24.72 = v9 & k13_cat_2(v5, v5, v22, v20) = v24 & k2_cat_1(v5, v22) = v21
% 157.83/24.72 & k3_cat_1(v5, v20) = v21 & u2_cat_1(v5) = v8 & $i(v24) & $i(v21)
% 157.83/24.72 & $i(v9) & $i(v8) & m1_subset_1(v22, v8) & m1_subset_1(v20, v8) &
% 157.83/24.72 ~ r2_hidden(v24, v9)) | (v12 = v10 & ~ (v15 = v11) &
% 157.83/24.72 k10_cat_1(v5, v10) = v11 & k7_nattra_1(v0, v1, v10) = v14 &
% 157.83/24.72 k4_tarski(v13, v14) = v15 & k4_tarski(v10, v10) = v13 &
% 157.83/24.72 u1_cat_1(v5) = v7 & $i(v15) & $i(v14) & $i(v13) & $i(v11) & $i(v7)
% 157.83/24.72 & m2_cat_1(v10, v0, v1) & m1_subset_1(v10, v7)) | ( ~ (v8 = v4) &
% 157.83/24.72 u2_cat_1(v5) = v8 & $i(v8)) | ( ~ (v7 = v2) & u1_cat_1(v5) = v7 &
% 157.83/24.72 $i(v7)) | (k1_relat_1(v6) = v9 & k1_funct_1(v6, v18) = v19 &
% 157.83/24.72 k13_cat_2(v5, v5, v17, v16) = v18 & u2_cat_1(v5) = v8 & $i(v19) &
% 157.83/24.72 $i(v18) & $i(v9) & $i(v8) & r2_hidden(v18, v9) & m1_subset_1(v17,
% 157.83/24.72 v8) & m1_subset_1(v16, v8) & ! [v31: $i] : ! [v32: $i] : !
% 157.83/24.72 [v33: $i] : ! [v34: $i] : ! [v35: $i] : ( ~ (k4_tarski(v32, v34)
% 157.83/24.72 = v35) | ~ (k4_tarski(v31, v32) = v33) | ~ $i(v34) | ~
% 157.83/24.72 $i(v32) | ~ $i(v31) | ~ m2_cat_1(v34, v0, v1) | ~
% 157.83/24.72 m2_cat_1(v32, v0, v1) | ~ m2_cat_1(v31, v0, v1) | ? [v36: $i]
% 157.83/24.72 : (k4_tarski(v31, v34) = v36 & $i(v36) & ! [v37: $i] : ! [v38:
% 157.83/24.72 $i] : ! [v39: $i] : ( ~ (k8_nattra_1(v0, v1, v31, v32, v34,
% 157.83/24.72 v37, v38) = v39) | ~ (k4_tarski(v33, v37) = v16) | ~
% 157.83/24.72 $i(v38) | ~ $i(v37) | ~ m2_nattra_1(v38, v0, v1, v32, v34)
% 157.83/24.72 | ~ m2_nattra_1(v37, v0, v1, v31, v32) | ? [v40: $i] : ?
% 157.83/24.72 [v41: $i] : (( ~ (v41 = v19) & k4_tarski(v36, v39) = v41 &
% 157.83/24.72 $i(v41)) | ( ~ (v40 = v17) & k4_tarski(v35, v38) = v40 &
% 157.83/24.72 $i(v40)))) & ! [v37: $i] : ! [v38: $i] : ( ~
% 157.83/24.72 (k4_tarski(v35, v38) = v17) | ~ (k4_tarski(v33, v37) = v16)
% 157.83/24.72 | ~ $i(v38) | ~ $i(v37) | ~ m2_nattra_1(v38, v0, v1, v32,
% 157.83/24.72 v34) | ~ m2_nattra_1(v37, v0, v1, v31, v32) | ? [v39:
% 157.83/24.72 $i] : ? [v40: $i] : ( ~ (v40 = v19) & k8_nattra_1(v0, v1,
% 157.83/24.72 v31, v32, v34, v37, v38) = v39 & k4_tarski(v36, v39) =
% 157.83/24.72 v40 & $i(v40) & $i(v39))))) & ! [v31: $i] : ! [v32: $i]
% 157.83/24.72 : ! [v33: $i] : ! [v34: $i] : ! [v35: $i] : ( ~ (k4_tarski(v31,
% 157.83/24.72 v34) = v35) | ~ (k4_tarski(v31, v32) = v33) | ~ $i(v34) |
% 157.83/24.72 ~ $i(v32) | ~ $i(v31) | ~ m2_cat_1(v34, v0, v1) | ~
% 157.83/24.72 m2_cat_1(v32, v0, v1) | ~ m2_cat_1(v31, v0, v1) | ? [v36: $i]
% 157.83/24.72 : (k4_tarski(v32, v34) = v36 & $i(v36) & ! [v37: $i] : ! [v38:
% 157.83/24.72 $i] : ! [v39: $i] : ( ~ (k8_nattra_1(v0, v1, v31, v32, v34,
% 157.83/24.72 v37, v38) = v39) | ~ (k4_tarski(v33, v37) = v16) | ~
% 157.83/24.72 $i(v38) | ~ $i(v37) | ~ m2_nattra_1(v38, v0, v1, v32, v34)
% 157.83/24.72 | ~ m2_nattra_1(v37, v0, v1, v31, v32) | ? [v40: $i] : ?
% 157.83/24.72 [v41: $i] : (( ~ (v41 = v19) & k4_tarski(v35, v39) = v41 &
% 157.83/24.72 $i(v41)) | ( ~ (v40 = v17) & k4_tarski(v36, v38) = v40 &
% 157.83/24.72 $i(v40)))) & ! [v37: $i] : ! [v38: $i] : ( ~
% 157.83/24.72 (k4_tarski(v36, v38) = v17) | ~ (k4_tarski(v33, v37) = v16)
% 157.83/24.72 | ~ $i(v38) | ~ $i(v37) | ~ m2_nattra_1(v38, v0, v1, v32,
% 157.83/24.72 v34) | ~ m2_nattra_1(v37, v0, v1, v31, v32) | ? [v39:
% 157.83/24.72 $i] : ? [v40: $i] : ( ~ (v40 = v19) & k8_nattra_1(v0, v1,
% 157.83/24.72 v31, v32, v34, v37, v38) = v39 & k4_tarski(v35, v39) =
% 157.83/24.72 v40 & $i(v40) & $i(v39)))))) | (k1_mcart_1(v25) = v27 &
% 157.83/24.72 u2_cat_1(v5) = v8 & $i(v27) & $i(v8) & m1_subset_1(v25, v8) & (( ~
% 157.83/24.72 (v30 = v29) & k3_cat_1(v5, v25) = v29 & k2_mcart_1(v27) = v30
% 157.83/24.72 & $i(v30) & $i(v29)) | ( ~ (v28 = v26) & k2_cat_1(v5, v25) =
% 157.83/24.72 v26 & k1_mcart_1(v27) = v28 & $i(v28) & $i(v26))))))))) & !
% 157.83/24.72 [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ (k12_nattra_1(v0, v1) = v2) | ~
% 157.83/24.72 $i(v1) | ~ $i(v0) | ~ l1_cat_1(v1) | ~ l1_cat_1(v0) | ~ v2_cat_1(v1) |
% 157.83/24.72 ~ v2_cat_1(v0) | ? [v3: $i] : ? [v4: $i] : (k7_cat_2(v0, v1) = v3 &
% 157.83/24.72 k11_nattra_1(v0, v1) = v4 & $i(v4) & $i(v3) & ! [v5: $i] : ! [v6: $i] :
% 157.83/24.72 ( ~ (u1_cat_1(v5) = v6) | ~ $i(v5) | ~ v1_cat_1(v5) | ~ l1_cat_1(v5) |
% 157.83/24.72 ~ v2_cat_1(v5) | ? [v7: $i] : ? [v8: $i] : ? [v9: $i] : ? [v10: $i]
% 157.83/24.72 : ? [v11: $i] : ? [v12: $i] : ? [v13: $i] : ? [v14: $i] : ? [v15:
% 157.83/24.72 $i] : ? [v16: $i] : ? [v17: $i] : ? [v18: $i] : ? [v19: $i] : ?
% 157.83/24.72 [v20: $i] : ? [v21: $i] : ? [v22: $i] : ? [v23: $i] : ? [v24: $i] :
% 157.83/24.72 ? [v25: $i] : ? [v26: $i] : ? [v27: $i] : ? [v28: $i] : ? [v29: $i]
% 157.83/24.72 : ? [v30: $i] : ($i(v25) & $i(v22) & $i(v20) & $i(v17) & $i(v16) &
% 157.83/24.72 $i(v12) & $i(v10) & ( ~ (v6 = v3) | v5 = v2 | (v23 = v21 &
% 157.83/24.72 k1_relat_1(v8) = v9 & k13_cat_2(v5, v5, v22, v20) = v24 &
% 157.83/24.72 k2_cat_1(v5, v22) = v21 & k3_cat_1(v5, v20) = v21 & u2_cat_1(v5) =
% 157.83/24.72 v7 & u5_cat_1(v5) = v8 & $i(v24) & $i(v21) & $i(v9) & $i(v8) &
% 157.83/24.72 $i(v7) & m1_subset_1(v22, v7) & m1_subset_1(v20, v7) & ~
% 157.83/24.72 r2_hidden(v24, v9)) | (v12 = v10 & ~ (v15 = v11) & k10_cat_1(v5,
% 157.83/24.72 v10) = v11 & k7_nattra_1(v0, v1, v10) = v14 & k4_tarski(v13,
% 157.83/24.72 v14) = v15 & k4_tarski(v10, v10) = v13 & $i(v15) & $i(v14) &
% 157.83/24.72 $i(v13) & $i(v11) & m2_cat_1(v10, v0, v1) & m1_subset_1(v10, v3))
% 157.83/24.72 | ( ~ (v7 = v4) & u2_cat_1(v5) = v7 & $i(v7)) | (k1_relat_1(v8) = v9
% 157.83/24.72 & k1_funct_1(v8, v18) = v19 & k13_cat_2(v5, v5, v17, v16) = v18 &
% 157.83/24.72 u2_cat_1(v5) = v7 & u5_cat_1(v5) = v8 & $i(v19) & $i(v18) & $i(v9)
% 157.83/24.72 & $i(v8) & $i(v7) & r2_hidden(v18, v9) & m1_subset_1(v17, v7) &
% 157.83/24.72 m1_subset_1(v16, v7) & ! [v31: $i] : ! [v32: $i] : ! [v33: $i]
% 157.83/24.72 : ! [v34: $i] : ! [v35: $i] : ( ~ (k4_tarski(v32, v34) = v35) |
% 157.83/24.72 ~ (k4_tarski(v31, v32) = v33) | ~ $i(v34) | ~ $i(v32) | ~
% 157.83/24.72 $i(v31) | ~ m2_cat_1(v34, v0, v1) | ~ m2_cat_1(v32, v0, v1) |
% 157.83/24.72 ~ m2_cat_1(v31, v0, v1) | ? [v36: $i] : (k4_tarski(v31, v34) =
% 157.83/24.72 v36 & $i(v36) & ! [v37: $i] : ! [v38: $i] : ! [v39: $i] : (
% 157.83/24.72 ~ (k8_nattra_1(v0, v1, v31, v32, v34, v37, v38) = v39) | ~
% 157.83/24.72 (k4_tarski(v33, v37) = v16) | ~ $i(v38) | ~ $i(v37) | ~
% 157.83/24.72 m2_nattra_1(v38, v0, v1, v32, v34) | ~ m2_nattra_1(v37, v0,
% 157.83/24.72 v1, v31, v32) | ? [v40: $i] : ? [v41: $i] : (( ~ (v41 =
% 157.83/24.72 v19) & k4_tarski(v36, v39) = v41 & $i(v41)) | ( ~ (v40
% 157.83/24.72 = v17) & k4_tarski(v35, v38) = v40 & $i(v40)))) & !
% 157.83/24.72 [v37: $i] : ! [v38: $i] : ( ~ (k4_tarski(v35, v38) = v17) |
% 157.83/24.72 ~ (k4_tarski(v33, v37) = v16) | ~ $i(v38) | ~ $i(v37) | ~
% 157.83/24.72 m2_nattra_1(v38, v0, v1, v32, v34) | ~ m2_nattra_1(v37, v0,
% 157.83/24.72 v1, v31, v32) | ? [v39: $i] : ? [v40: $i] : ( ~ (v40 =
% 157.83/24.72 v19) & k8_nattra_1(v0, v1, v31, v32, v34, v37, v38) =
% 157.83/24.72 v39 & k4_tarski(v36, v39) = v40 & $i(v40) & $i(v39))))) &
% 157.83/24.72 ! [v31: $i] : ! [v32: $i] : ! [v33: $i] : ! [v34: $i] : !
% 157.83/24.72 [v35: $i] : ( ~ (k4_tarski(v31, v34) = v35) | ~ (k4_tarski(v31,
% 157.83/24.72 v32) = v33) | ~ $i(v34) | ~ $i(v32) | ~ $i(v31) | ~
% 157.83/24.72 m2_cat_1(v34, v0, v1) | ~ m2_cat_1(v32, v0, v1) | ~
% 157.83/24.72 m2_cat_1(v31, v0, v1) | ? [v36: $i] : (k4_tarski(v32, v34) =
% 157.83/24.72 v36 & $i(v36) & ! [v37: $i] : ! [v38: $i] : ! [v39: $i] : (
% 157.83/24.72 ~ (k8_nattra_1(v0, v1, v31, v32, v34, v37, v38) = v39) | ~
% 157.83/24.73 (k4_tarski(v33, v37) = v16) | ~ $i(v38) | ~ $i(v37) | ~
% 157.83/24.73 m2_nattra_1(v38, v0, v1, v32, v34) | ~ m2_nattra_1(v37, v0,
% 157.83/24.73 v1, v31, v32) | ? [v40: $i] : ? [v41: $i] : (( ~ (v41 =
% 157.83/24.73 v19) & k4_tarski(v35, v39) = v41 & $i(v41)) | ( ~ (v40
% 157.83/24.73 = v17) & k4_tarski(v36, v38) = v40 & $i(v40)))) & !
% 157.83/24.73 [v37: $i] : ! [v38: $i] : ( ~ (k4_tarski(v36, v38) = v17) |
% 157.83/24.73 ~ (k4_tarski(v33, v37) = v16) | ~ $i(v38) | ~ $i(v37) | ~
% 157.83/24.73 m2_nattra_1(v38, v0, v1, v32, v34) | ~ m2_nattra_1(v37, v0,
% 157.83/24.73 v1, v31, v32) | ? [v39: $i] : ? [v40: $i] : ( ~ (v40 =
% 157.83/24.73 v19) & k8_nattra_1(v0, v1, v31, v32, v34, v37, v38) =
% 157.83/24.73 v39 & k4_tarski(v35, v39) = v40 & $i(v40) & $i(v39)))))) |
% 157.83/24.73 (k1_mcart_1(v25) = v27 & u2_cat_1(v5) = v7 & $i(v27) & $i(v7) &
% 157.83/24.73 m1_subset_1(v25, v7) & (( ~ (v30 = v29) & k3_cat_1(v5, v25) = v29
% 157.83/24.73 & k2_mcart_1(v27) = v30 & $i(v30) & $i(v29)) | ( ~ (v28 = v26)
% 157.83/24.73 & k2_cat_1(v5, v25) = v26 & k1_mcart_1(v27) = v28 & $i(v28) &
% 157.83/24.73 $i(v26))))) & ( ~ (v5 = v2) | (v7 = v4 & v6 = v3 &
% 157.83/24.73 k1_relat_1(v8) = v9 & u2_cat_1(v2) = v4 & u5_cat_1(v2) = v8 &
% 157.83/24.73 $i(v9) & $i(v8) & ! [v31: $i] : ! [v32: $i] : ! [v33: $i] : !
% 157.83/24.73 [v34: $i] : ( ~ (k13_cat_2(v2, v2, v33, v31) = v34) | ~
% 157.83/24.73 (k3_cat_1(v2, v31) = v32) | ~ $i(v33) | ~ $i(v31) | ~
% 157.83/24.73 m1_subset_1(v33, v4) | ~ m1_subset_1(v31, v4) | r2_hidden(v34,
% 157.83/24.73 v9) | ? [v35: $i] : ( ~ (v35 = v32) & k2_cat_1(v2, v33) = v35
% 157.83/24.73 & $i(v35))) & ! [v31: $i] : ! [v32: $i] : ! [v33: $i] : ( ~
% 157.83/24.73 (k10_cat_1(v2, v31) = v32) | ~ (k7_nattra_1(v0, v1, v31) = v33)
% 157.83/24.73 | ~ $i(v31) | ~ m2_cat_1(v31, v0, v1) | ~ m1_subset_1(v31,
% 157.83/24.73 v3) | ? [v34: $i] : (k4_tarski(v34, v33) = v32 &
% 157.83/24.73 k4_tarski(v31, v31) = v34 & $i(v34) & $i(v32))) & ! [v31: $i]
% 157.83/24.73 : ! [v32: $i] : ! [v33: $i] : ( ~ (k10_cat_1(v2, v31) = v32) |
% 157.83/24.73 ~ (k4_tarski(v31, v31) = v33) | ~ $i(v31) | ~ m2_cat_1(v31,
% 157.83/24.73 v0, v1) | ~ m1_subset_1(v31, v3) | ? [v34: $i] :
% 157.83/24.73 (k7_nattra_1(v0, v1, v31) = v34 & k4_tarski(v33, v34) = v32 &
% 157.83/24.73 $i(v34) & $i(v32))) & ! [v31: $i] : ! [v32: $i] : ! [v33:
% 157.83/24.73 $i] : ( ~ (k13_cat_2(v2, v2, v32, v31) = v33) | ~ $i(v32) | ~
% 157.83/24.73 $i(v31) | ~ r2_hidden(v33, v9) | ~ m1_subset_1(v32, v4) | ~
% 157.83/24.73 m1_subset_1(v31, v4) | ? [v34: $i] : ? [v35: $i] : ? [v36:
% 157.83/24.73 $i] : ? [v37: $i] : ? [v38: $i] : ? [v39: $i] : ? [v40:
% 157.83/24.73 $i] : ? [v41: $i] : ? [v42: $i] : ? [v43: $i] :
% 157.83/24.73 (k1_funct_1(v8, v33) = v34 & k8_nattra_1(v0, v1, v35, v36, v38,
% 157.83/24.73 v41, v42) = v43 & k4_tarski(v40, v43) = v34 & k4_tarski(v39,
% 157.83/24.73 v42) = v32 & k4_tarski(v37, v41) = v31 & k4_tarski(v36, v38)
% 157.83/24.73 = v39 & k4_tarski(v35, v38) = v40 & k4_tarski(v35, v36) = v37
% 157.83/24.73 & $i(v43) & $i(v42) & $i(v41) & $i(v40) & $i(v39) & $i(v38) &
% 157.83/24.73 $i(v37) & $i(v36) & $i(v35) & $i(v34) & m2_nattra_1(v42, v0,
% 157.83/24.73 v1, v36, v38) & m2_nattra_1(v41, v0, v1, v35, v36) &
% 157.83/24.73 m2_cat_1(v38, v0, v1) & m2_cat_1(v36, v0, v1) & m2_cat_1(v35,
% 157.83/24.73 v0, v1))) & ! [v31: $i] : ! [v32: $i] : ! [v33: $i] : ( ~
% 157.83/24.73 (k2_cat_1(v2, v33) = v32) | ~ (k3_cat_1(v2, v31) = v32) | ~
% 157.83/24.73 $i(v33) | ~ $i(v31) | ~ m1_subset_1(v33, v4) | ~
% 157.83/24.73 m1_subset_1(v31, v4) | ? [v34: $i] : (k13_cat_2(v2, v2, v33,
% 157.83/24.73 v31) = v34 & $i(v34) & r2_hidden(v34, v9))) & ! [v31: $i] :
% 157.83/24.73 ! [v32: $i] : ( ~ (k2_cat_1(v2, v31) = v32) | ~ $i(v31) | ~
% 157.83/24.73 m1_subset_1(v31, v4) | ? [v33: $i] : ? [v34: $i] :
% 157.83/24.73 (k1_mcart_1(v33) = v32 & k1_mcart_1(v31) = v33 & k3_cat_1(v2,
% 157.83/24.73 v31) = v34 & k2_mcart_1(v33) = v34 & $i(v34) & $i(v33) &
% 157.83/24.73 $i(v32))) & ! [v31: $i] : ! [v32: $i] : ( ~ (k1_mcart_1(v31)
% 157.83/24.73 = v32) | ~ $i(v31) | ~ m1_subset_1(v31, v4) | ? [v33: $i] :
% 157.83/24.73 ? [v34: $i] : (k2_cat_1(v2, v31) = v33 & k1_mcart_1(v32) = v33
% 157.83/24.73 & k3_cat_1(v2, v31) = v34 & k2_mcart_1(v32) = v34 & $i(v34) &
% 157.83/24.73 $i(v33))) & ! [v31: $i] : ! [v32: $i] : ( ~ (k3_cat_1(v2,
% 157.83/24.73 v31) = v32) | ~ $i(v31) | ~ m1_subset_1(v31, v4) | ?
% 157.83/24.73 [v33: $i] : ? [v34: $i] : (k2_cat_1(v2, v31) = v33 &
% 157.83/24.73 k1_mcart_1(v34) = v33 & k1_mcart_1(v31) = v34 &
% 157.83/24.73 k2_mcart_1(v34) = v32 & $i(v34) & $i(v33) & $i(v32))))))) & !
% 157.83/24.73 [v5: $i] : ! [v6: $i] : ( ~ (u2_cat_1(v5) = v6) | ~ $i(v5) | ~
% 157.83/24.73 v1_cat_1(v5) | ~ l1_cat_1(v5) | ~ v2_cat_1(v5) | ? [v7: $i] : ? [v8:
% 157.83/24.73 $i] : ? [v9: $i] : ? [v10: $i] : ? [v11: $i] : ? [v12: $i] : ?
% 157.83/24.73 [v13: $i] : ? [v14: $i] : ? [v15: $i] : ? [v16: $i] : ? [v17: $i] :
% 157.83/24.73 ? [v18: $i] : ? [v19: $i] : ? [v20: $i] : ? [v21: $i] : ? [v22: $i]
% 157.83/24.73 : ? [v23: $i] : ? [v24: $i] : ? [v25: $i] : ? [v26: $i] : ? [v27:
% 157.83/24.73 $i] : ? [v28: $i] : ? [v29: $i] : ? [v30: $i] : ($i(v25) & $i(v22)
% 157.83/24.73 & $i(v20) & $i(v17) & $i(v16) & $i(v12) & $i(v10) & ( ~ (v6 = v4) | v5
% 157.83/24.73 = v2 | (v23 = v21 & k1_relat_1(v8) = v9 & k13_cat_2(v5, v5, v22,
% 157.83/24.73 v20) = v24 & k2_cat_1(v5, v22) = v21 & k3_cat_1(v5, v20) = v21 &
% 157.83/24.73 u5_cat_1(v5) = v8 & $i(v24) & $i(v21) & $i(v9) & $i(v8) &
% 157.83/24.73 m1_subset_1(v22, v4) & m1_subset_1(v20, v4) & ~ r2_hidden(v24,
% 157.83/24.73 v9)) | (v12 = v10 & ~ (v15 = v11) & k10_cat_1(v5, v10) = v11 &
% 157.83/24.73 k7_nattra_1(v0, v1, v10) = v14 & k4_tarski(v13, v14) = v15 &
% 157.83/24.73 k4_tarski(v10, v10) = v13 & u1_cat_1(v5) = v7 & $i(v15) & $i(v14)
% 157.83/24.73 & $i(v13) & $i(v11) & $i(v7) & m2_cat_1(v10, v0, v1) &
% 157.83/24.73 m1_subset_1(v10, v7)) | ( ~ (v7 = v3) & u1_cat_1(v5) = v7 &
% 157.83/24.73 $i(v7)) | (k1_relat_1(v8) = v9 & k1_funct_1(v8, v18) = v19 &
% 157.83/24.73 k13_cat_2(v5, v5, v17, v16) = v18 & u5_cat_1(v5) = v8 & $i(v19) &
% 157.83/24.73 $i(v18) & $i(v9) & $i(v8) & r2_hidden(v18, v9) & m1_subset_1(v17,
% 157.83/24.73 v4) & m1_subset_1(v16, v4) & ! [v31: $i] : ! [v32: $i] : !
% 157.83/24.73 [v33: $i] : ! [v34: $i] : ! [v35: $i] : ( ~ (k4_tarski(v32, v34)
% 157.83/24.73 = v35) | ~ (k4_tarski(v31, v32) = v33) | ~ $i(v34) | ~
% 157.83/24.73 $i(v32) | ~ $i(v31) | ~ m2_cat_1(v34, v0, v1) | ~
% 157.83/24.73 m2_cat_1(v32, v0, v1) | ~ m2_cat_1(v31, v0, v1) | ? [v36: $i]
% 157.83/24.73 : (k4_tarski(v31, v34) = v36 & $i(v36) & ! [v37: $i] : ! [v38:
% 157.83/24.73 $i] : ! [v39: $i] : ( ~ (k8_nattra_1(v0, v1, v31, v32, v34,
% 157.83/24.73 v37, v38) = v39) | ~ (k4_tarski(v33, v37) = v16) | ~
% 157.83/24.73 $i(v38) | ~ $i(v37) | ~ m2_nattra_1(v38, v0, v1, v32, v34)
% 157.83/24.73 | ~ m2_nattra_1(v37, v0, v1, v31, v32) | ? [v40: $i] : ?
% 157.83/24.73 [v41: $i] : (( ~ (v41 = v19) & k4_tarski(v36, v39) = v41 &
% 157.83/24.73 $i(v41)) | ( ~ (v40 = v17) & k4_tarski(v35, v38) = v40 &
% 157.83/24.73 $i(v40)))) & ! [v37: $i] : ! [v38: $i] : ( ~
% 157.83/24.73 (k4_tarski(v35, v38) = v17) | ~ (k4_tarski(v33, v37) = v16)
% 157.83/24.73 | ~ $i(v38) | ~ $i(v37) | ~ m2_nattra_1(v38, v0, v1, v32,
% 157.83/24.73 v34) | ~ m2_nattra_1(v37, v0, v1, v31, v32) | ? [v39:
% 157.83/24.73 $i] : ? [v40: $i] : ( ~ (v40 = v19) & k8_nattra_1(v0, v1,
% 157.83/24.73 v31, v32, v34, v37, v38) = v39 & k4_tarski(v36, v39) =
% 157.83/24.73 v40 & $i(v40) & $i(v39))))) & ! [v31: $i] : ! [v32: $i]
% 157.83/24.73 : ! [v33: $i] : ! [v34: $i] : ! [v35: $i] : ( ~ (k4_tarski(v31,
% 157.83/24.73 v34) = v35) | ~ (k4_tarski(v31, v32) = v33) | ~ $i(v34) |
% 157.83/24.73 ~ $i(v32) | ~ $i(v31) | ~ m2_cat_1(v34, v0, v1) | ~
% 157.83/24.73 m2_cat_1(v32, v0, v1) | ~ m2_cat_1(v31, v0, v1) | ? [v36: $i]
% 157.83/24.73 : (k4_tarski(v32, v34) = v36 & $i(v36) & ! [v37: $i] : ! [v38:
% 157.83/24.73 $i] : ! [v39: $i] : ( ~ (k8_nattra_1(v0, v1, v31, v32, v34,
% 157.83/24.73 v37, v38) = v39) | ~ (k4_tarski(v33, v37) = v16) | ~
% 157.83/24.73 $i(v38) | ~ $i(v37) | ~ m2_nattra_1(v38, v0, v1, v32, v34)
% 157.83/24.73 | ~ m2_nattra_1(v37, v0, v1, v31, v32) | ? [v40: $i] : ?
% 157.83/24.73 [v41: $i] : (( ~ (v41 = v19) & k4_tarski(v35, v39) = v41 &
% 157.83/24.73 $i(v41)) | ( ~ (v40 = v17) & k4_tarski(v36, v38) = v40 &
% 157.83/24.73 $i(v40)))) & ! [v37: $i] : ! [v38: $i] : ( ~
% 157.83/24.73 (k4_tarski(v36, v38) = v17) | ~ (k4_tarski(v33, v37) = v16)
% 157.83/24.73 | ~ $i(v38) | ~ $i(v37) | ~ m2_nattra_1(v38, v0, v1, v32,
% 157.83/24.73 v34) | ~ m2_nattra_1(v37, v0, v1, v31, v32) | ? [v39:
% 157.83/24.73 $i] : ? [v40: $i] : ( ~ (v40 = v19) & k8_nattra_1(v0, v1,
% 157.83/24.73 v31, v32, v34, v37, v38) = v39 & k4_tarski(v35, v39) =
% 157.83/24.73 v40 & $i(v40) & $i(v39)))))) | (k1_mcart_1(v25) = v27 &
% 157.83/24.73 $i(v27) & m1_subset_1(v25, v4) & (( ~ (v30 = v29) & k3_cat_1(v5,
% 157.83/24.73 v25) = v29 & k2_mcart_1(v27) = v30 & $i(v30) & $i(v29)) | (
% 157.83/24.73 ~ (v28 = v26) & k2_cat_1(v5, v25) = v26 & k1_mcart_1(v27) =
% 157.83/24.73 v28 & $i(v28) & $i(v26))))) & ( ~ (v5 = v2) | (v7 = v3 & v6 =
% 157.83/24.73 v4 & k1_relat_1(v8) = v9 & u1_cat_1(v2) = v3 & u5_cat_1(v2) = v8 &
% 157.83/24.73 $i(v9) & $i(v8) & ! [v31: $i] : ! [v32: $i] : ! [v33: $i] : !
% 157.83/24.73 [v34: $i] : ( ~ (k13_cat_2(v2, v2, v33, v31) = v34) | ~
% 157.83/24.73 (k3_cat_1(v2, v31) = v32) | ~ $i(v33) | ~ $i(v31) | ~
% 157.83/24.73 m1_subset_1(v33, v4) | ~ m1_subset_1(v31, v4) | r2_hidden(v34,
% 157.83/24.73 v9) | ? [v35: $i] : ( ~ (v35 = v32) & k2_cat_1(v2, v33) = v35
% 157.83/24.73 & $i(v35))) & ! [v31: $i] : ! [v32: $i] : ! [v33: $i] : ( ~
% 157.83/24.73 (k10_cat_1(v2, v31) = v32) | ~ (k7_nattra_1(v0, v1, v31) = v33)
% 157.83/24.73 | ~ $i(v31) | ~ m2_cat_1(v31, v0, v1) | ~ m1_subset_1(v31,
% 157.83/24.73 v3) | ? [v34: $i] : (k4_tarski(v34, v33) = v32 &
% 157.83/24.73 k4_tarski(v31, v31) = v34 & $i(v34) & $i(v32))) & ! [v31: $i]
% 157.83/24.73 : ! [v32: $i] : ! [v33: $i] : ( ~ (k10_cat_1(v2, v31) = v32) |
% 157.83/24.73 ~ (k4_tarski(v31, v31) = v33) | ~ $i(v31) | ~ m2_cat_1(v31,
% 157.83/24.73 v0, v1) | ~ m1_subset_1(v31, v3) | ? [v34: $i] :
% 157.83/24.73 (k7_nattra_1(v0, v1, v31) = v34 & k4_tarski(v33, v34) = v32 &
% 157.83/24.73 $i(v34) & $i(v32))) & ! [v31: $i] : ! [v32: $i] : ! [v33:
% 157.83/24.73 $i] : ( ~ (k13_cat_2(v2, v2, v32, v31) = v33) | ~ $i(v32) | ~
% 157.83/24.73 $i(v31) | ~ r2_hidden(v33, v9) | ~ m1_subset_1(v32, v4) | ~
% 157.83/24.73 m1_subset_1(v31, v4) | ? [v34: $i] : ? [v35: $i] : ? [v36:
% 157.83/24.73 $i] : ? [v37: $i] : ? [v38: $i] : ? [v39: $i] : ? [v40:
% 157.83/24.73 $i] : ? [v41: $i] : ? [v42: $i] : ? [v43: $i] :
% 157.83/24.73 (k1_funct_1(v8, v33) = v34 & k8_nattra_1(v0, v1, v35, v36, v38,
% 157.83/24.73 v41, v42) = v43 & k4_tarski(v40, v43) = v34 & k4_tarski(v39,
% 157.83/24.73 v42) = v32 & k4_tarski(v37, v41) = v31 & k4_tarski(v36, v38)
% 157.83/24.73 = v39 & k4_tarski(v35, v38) = v40 & k4_tarski(v35, v36) = v37
% 157.83/24.73 & $i(v43) & $i(v42) & $i(v41) & $i(v40) & $i(v39) & $i(v38) &
% 157.83/24.73 $i(v37) & $i(v36) & $i(v35) & $i(v34) & m2_nattra_1(v42, v0,
% 157.83/24.73 v1, v36, v38) & m2_nattra_1(v41, v0, v1, v35, v36) &
% 157.83/24.73 m2_cat_1(v38, v0, v1) & m2_cat_1(v36, v0, v1) & m2_cat_1(v35,
% 157.83/24.73 v0, v1))) & ! [v31: $i] : ! [v32: $i] : ! [v33: $i] : ( ~
% 157.83/24.73 (k2_cat_1(v2, v33) = v32) | ~ (k3_cat_1(v2, v31) = v32) | ~
% 157.83/24.73 $i(v33) | ~ $i(v31) | ~ m1_subset_1(v33, v4) | ~
% 157.83/24.73 m1_subset_1(v31, v4) | ? [v34: $i] : (k13_cat_2(v2, v2, v33,
% 157.83/24.73 v31) = v34 & $i(v34) & r2_hidden(v34, v9))) & ! [v31: $i] :
% 157.83/24.73 ! [v32: $i] : ( ~ (k2_cat_1(v2, v31) = v32) | ~ $i(v31) | ~
% 157.83/24.73 m1_subset_1(v31, v4) | ? [v33: $i] : ? [v34: $i] :
% 157.83/24.73 (k1_mcart_1(v33) = v32 & k1_mcart_1(v31) = v33 & k3_cat_1(v2,
% 157.83/24.73 v31) = v34 & k2_mcart_1(v33) = v34 & $i(v34) & $i(v33) &
% 157.83/24.73 $i(v32))) & ! [v31: $i] : ! [v32: $i] : ( ~ (k1_mcart_1(v31)
% 157.83/24.73 = v32) | ~ $i(v31) | ~ m1_subset_1(v31, v4) | ? [v33: $i] :
% 157.83/24.73 ? [v34: $i] : (k2_cat_1(v2, v31) = v33 & k1_mcart_1(v32) = v33
% 157.83/24.73 & k3_cat_1(v2, v31) = v34 & k2_mcart_1(v32) = v34 & $i(v34) &
% 157.83/24.73 $i(v33))) & ! [v31: $i] : ! [v32: $i] : ( ~ (k3_cat_1(v2,
% 157.83/24.73 v31) = v32) | ~ $i(v31) | ~ m1_subset_1(v31, v4) | ?
% 157.83/24.73 [v33: $i] : ? [v34: $i] : (k2_cat_1(v2, v31) = v33 &
% 157.83/24.73 k1_mcart_1(v34) = v33 & k1_mcart_1(v31) = v34 &
% 157.83/24.73 k2_mcart_1(v34) = v32 & $i(v34) & $i(v33) & $i(v32))))))) & !
% 157.83/24.73 [v5: $i] : ! [v6: $i] : ( ~ (u5_cat_1(v5) = v6) | ~ $i(v5) | ~
% 157.83/24.73 v1_cat_1(v5) | ~ l1_cat_1(v5) | ~ v2_cat_1(v5) | ? [v7: $i] : ? [v8:
% 157.83/24.73 $i] : ? [v9: $i] : ? [v10: $i] : ? [v11: $i] : ? [v12: $i] : ?
% 157.83/24.73 [v13: $i] : ? [v14: $i] : ? [v15: $i] : ? [v16: $i] : ? [v17: $i] :
% 157.83/24.73 ? [v18: $i] : ? [v19: $i] : ? [v20: $i] : ? [v21: $i] : ? [v22: $i]
% 157.83/24.73 : ? [v23: $i] : ? [v24: $i] : ? [v25: $i] : ? [v26: $i] : ? [v27:
% 157.83/24.73 $i] : ? [v28: $i] : ? [v29: $i] : ? [v30: $i] : ($i(v25) & $i(v22)
% 157.83/24.73 & $i(v20) & $i(v17) & $i(v16) & $i(v12) & $i(v10) & ( ~ (v5 = v2) |
% 157.83/24.73 (v8 = v4 & v7 = v3 & k1_relat_1(v6) = v9 & u1_cat_1(v2) = v3 &
% 157.83/24.73 u2_cat_1(v2) = v4 & $i(v9) & ! [v31: $i] : ! [v32: $i] : !
% 157.83/24.73 [v33: $i] : ! [v34: $i] : ( ~ (k13_cat_2(v2, v2, v33, v31) = v34)
% 157.83/24.73 | ~ (k3_cat_1(v2, v31) = v32) | ~ $i(v33) | ~ $i(v31) | ~
% 157.83/24.73 m1_subset_1(v33, v4) | ~ m1_subset_1(v31, v4) | r2_hidden(v34,
% 157.83/24.73 v9) | ? [v35: $i] : ( ~ (v35 = v32) & k2_cat_1(v2, v33) = v35
% 157.83/24.73 & $i(v35))) & ! [v31: $i] : ! [v32: $i] : ! [v33: $i] : ( ~
% 157.83/24.73 (k10_cat_1(v2, v31) = v32) | ~ (k7_nattra_1(v0, v1, v31) = v33)
% 157.83/24.73 | ~ $i(v31) | ~ m2_cat_1(v31, v0, v1) | ~ m1_subset_1(v31,
% 157.83/24.73 v3) | ? [v34: $i] : (k4_tarski(v34, v33) = v32 &
% 157.83/24.73 k4_tarski(v31, v31) = v34 & $i(v34) & $i(v32))) & ! [v31: $i]
% 157.83/24.73 : ! [v32: $i] : ! [v33: $i] : ( ~ (k10_cat_1(v2, v31) = v32) |
% 157.83/24.73 ~ (k4_tarski(v31, v31) = v33) | ~ $i(v31) | ~ m2_cat_1(v31,
% 157.83/24.73 v0, v1) | ~ m1_subset_1(v31, v3) | ? [v34: $i] :
% 157.83/24.73 (k7_nattra_1(v0, v1, v31) = v34 & k4_tarski(v33, v34) = v32 &
% 157.83/24.73 $i(v34) & $i(v32))) & ! [v31: $i] : ! [v32: $i] : ! [v33:
% 157.83/24.73 $i] : ( ~ (k13_cat_2(v2, v2, v32, v31) = v33) | ~ $i(v32) | ~
% 157.83/24.73 $i(v31) | ~ r2_hidden(v33, v9) | ~ m1_subset_1(v32, v4) | ~
% 157.83/24.73 m1_subset_1(v31, v4) | ? [v34: $i] : ? [v35: $i] : ? [v36:
% 157.83/24.73 $i] : ? [v37: $i] : ? [v38: $i] : ? [v39: $i] : ? [v40:
% 157.83/24.73 $i] : ? [v41: $i] : ? [v42: $i] : ? [v43: $i] :
% 157.83/24.73 (k1_funct_1(v6, v33) = v34 & k8_nattra_1(v0, v1, v35, v36, v38,
% 157.83/24.73 v41, v42) = v43 & k4_tarski(v40, v43) = v34 & k4_tarski(v39,
% 157.83/24.73 v42) = v32 & k4_tarski(v37, v41) = v31 & k4_tarski(v36, v38)
% 157.83/24.73 = v39 & k4_tarski(v35, v38) = v40 & k4_tarski(v35, v36) = v37
% 157.83/24.73 & $i(v43) & $i(v42) & $i(v41) & $i(v40) & $i(v39) & $i(v38) &
% 157.83/24.73 $i(v37) & $i(v36) & $i(v35) & $i(v34) & m2_nattra_1(v42, v0,
% 157.83/24.73 v1, v36, v38) & m2_nattra_1(v41, v0, v1, v35, v36) &
% 157.83/24.73 m2_cat_1(v38, v0, v1) & m2_cat_1(v36, v0, v1) & m2_cat_1(v35,
% 157.83/24.73 v0, v1))) & ! [v31: $i] : ! [v32: $i] : ! [v33: $i] : ( ~
% 157.83/24.73 (k2_cat_1(v2, v33) = v32) | ~ (k3_cat_1(v2, v31) = v32) | ~
% 157.83/24.73 $i(v33) | ~ $i(v31) | ~ m1_subset_1(v33, v4) | ~
% 157.83/24.73 m1_subset_1(v31, v4) | ? [v34: $i] : (k13_cat_2(v2, v2, v33,
% 157.83/24.73 v31) = v34 & $i(v34) & r2_hidden(v34, v9))) & ! [v31: $i] :
% 157.83/24.73 ! [v32: $i] : ( ~ (k2_cat_1(v2, v31) = v32) | ~ $i(v31) | ~
% 157.83/24.73 m1_subset_1(v31, v4) | ? [v33: $i] : ? [v34: $i] :
% 157.83/24.73 (k1_mcart_1(v33) = v32 & k1_mcart_1(v31) = v33 & k3_cat_1(v2,
% 157.83/24.73 v31) = v34 & k2_mcart_1(v33) = v34 & $i(v34) & $i(v33) &
% 157.83/24.73 $i(v32))) & ! [v31: $i] : ! [v32: $i] : ( ~ (k1_mcart_1(v31)
% 157.83/24.73 = v32) | ~ $i(v31) | ~ m1_subset_1(v31, v4) | ? [v33: $i] :
% 157.83/24.73 ? [v34: $i] : (k2_cat_1(v2, v31) = v33 & k1_mcart_1(v32) = v33
% 157.83/24.73 & k3_cat_1(v2, v31) = v34 & k2_mcart_1(v32) = v34 & $i(v34) &
% 157.83/24.73 $i(v33))) & ! [v31: $i] : ! [v32: $i] : ( ~ (k3_cat_1(v2,
% 157.83/24.73 v31) = v32) | ~ $i(v31) | ~ m1_subset_1(v31, v4) | ?
% 157.83/24.73 [v33: $i] : ? [v34: $i] : (k2_cat_1(v2, v31) = v33 &
% 157.83/24.73 k1_mcart_1(v34) = v33 & k1_mcart_1(v31) = v34 &
% 157.83/24.73 k2_mcart_1(v34) = v32 & $i(v34) & $i(v33) & $i(v32))))) & (v5
% 157.83/24.73 = v2 | (v23 = v21 & k1_relat_1(v6) = v9 & k13_cat_2(v5, v5, v22,
% 157.83/24.73 v20) = v24 & k2_cat_1(v5, v22) = v21 & k3_cat_1(v5, v20) = v21 &
% 157.83/24.73 u2_cat_1(v5) = v8 & $i(v24) & $i(v21) & $i(v9) & $i(v8) &
% 157.83/24.73 m1_subset_1(v22, v8) & m1_subset_1(v20, v8) & ~ r2_hidden(v24,
% 157.83/24.73 v9)) | (v12 = v10 & ~ (v15 = v11) & k10_cat_1(v5, v10) = v11 &
% 157.83/24.73 k7_nattra_1(v0, v1, v10) = v14 & k4_tarski(v13, v14) = v15 &
% 157.83/24.73 k4_tarski(v10, v10) = v13 & u1_cat_1(v5) = v7 & $i(v15) & $i(v14)
% 157.83/24.73 & $i(v13) & $i(v11) & $i(v7) & m2_cat_1(v10, v0, v1) &
% 157.83/24.73 m1_subset_1(v10, v7)) | ( ~ (v8 = v4) & u2_cat_1(v5) = v8 &
% 157.83/24.73 $i(v8)) | ( ~ (v7 = v3) & u1_cat_1(v5) = v7 & $i(v7)) |
% 157.83/24.73 (k1_relat_1(v6) = v9 & k1_funct_1(v6, v18) = v19 & k13_cat_2(v5, v5,
% 157.83/24.73 v17, v16) = v18 & u2_cat_1(v5) = v8 & $i(v19) & $i(v18) & $i(v9)
% 157.83/24.73 & $i(v8) & r2_hidden(v18, v9) & m1_subset_1(v17, v8) &
% 157.83/24.73 m1_subset_1(v16, v8) & ! [v31: $i] : ! [v32: $i] : ! [v33: $i]
% 157.83/24.73 : ! [v34: $i] : ! [v35: $i] : ( ~ (k4_tarski(v32, v34) = v35) |
% 157.83/24.73 ~ (k4_tarski(v31, v32) = v33) | ~ $i(v34) | ~ $i(v32) | ~
% 157.83/24.73 $i(v31) | ~ m2_cat_1(v34, v0, v1) | ~ m2_cat_1(v32, v0, v1) |
% 157.83/24.73 ~ m2_cat_1(v31, v0, v1) | ? [v36: $i] : (k4_tarski(v31, v34) =
% 157.83/24.73 v36 & $i(v36) & ! [v37: $i] : ! [v38: $i] : ! [v39: $i] : (
% 157.83/24.73 ~ (k8_nattra_1(v0, v1, v31, v32, v34, v37, v38) = v39) | ~
% 157.83/24.73 (k4_tarski(v33, v37) = v16) | ~ $i(v38) | ~ $i(v37) | ~
% 157.83/24.73 m2_nattra_1(v38, v0, v1, v32, v34) | ~ m2_nattra_1(v37, v0,
% 157.83/24.73 v1, v31, v32) | ? [v40: $i] : ? [v41: $i] : (( ~ (v41 =
% 157.83/24.73 v19) & k4_tarski(v36, v39) = v41 & $i(v41)) | ( ~ (v40
% 157.83/24.73 = v17) & k4_tarski(v35, v38) = v40 & $i(v40)))) & !
% 157.83/24.73 [v37: $i] : ! [v38: $i] : ( ~ (k4_tarski(v35, v38) = v17) |
% 157.83/24.73 ~ (k4_tarski(v33, v37) = v16) | ~ $i(v38) | ~ $i(v37) | ~
% 157.83/24.73 m2_nattra_1(v38, v0, v1, v32, v34) | ~ m2_nattra_1(v37, v0,
% 157.83/24.73 v1, v31, v32) | ? [v39: $i] : ? [v40: $i] : ( ~ (v40 =
% 157.83/24.73 v19) & k8_nattra_1(v0, v1, v31, v32, v34, v37, v38) =
% 157.83/24.73 v39 & k4_tarski(v36, v39) = v40 & $i(v40) & $i(v39))))) &
% 157.83/24.73 ! [v31: $i] : ! [v32: $i] : ! [v33: $i] : ! [v34: $i] : !
% 157.83/24.73 [v35: $i] : ( ~ (k4_tarski(v31, v34) = v35) | ~ (k4_tarski(v31,
% 157.83/24.73 v32) = v33) | ~ $i(v34) | ~ $i(v32) | ~ $i(v31) | ~
% 157.83/24.73 m2_cat_1(v34, v0, v1) | ~ m2_cat_1(v32, v0, v1) | ~
% 157.83/24.73 m2_cat_1(v31, v0, v1) | ? [v36: $i] : (k4_tarski(v32, v34) =
% 157.83/24.73 v36 & $i(v36) & ! [v37: $i] : ! [v38: $i] : ! [v39: $i] : (
% 157.83/24.73 ~ (k8_nattra_1(v0, v1, v31, v32, v34, v37, v38) = v39) | ~
% 157.83/24.73 (k4_tarski(v33, v37) = v16) | ~ $i(v38) | ~ $i(v37) | ~
% 157.83/24.73 m2_nattra_1(v38, v0, v1, v32, v34) | ~ m2_nattra_1(v37, v0,
% 157.83/24.73 v1, v31, v32) | ? [v40: $i] : ? [v41: $i] : (( ~ (v41 =
% 157.83/24.73 v19) & k4_tarski(v35, v39) = v41 & $i(v41)) | ( ~ (v40
% 157.83/24.73 = v17) & k4_tarski(v36, v38) = v40 & $i(v40)))) & !
% 157.83/24.73 [v37: $i] : ! [v38: $i] : ( ~ (k4_tarski(v36, v38) = v17) |
% 157.83/24.73 ~ (k4_tarski(v33, v37) = v16) | ~ $i(v38) | ~ $i(v37) | ~
% 157.83/24.73 m2_nattra_1(v38, v0, v1, v32, v34) | ~ m2_nattra_1(v37, v0,
% 157.83/24.73 v1, v31, v32) | ? [v39: $i] : ? [v40: $i] : ( ~ (v40 =
% 157.83/24.73 v19) & k8_nattra_1(v0, v1, v31, v32, v34, v37, v38) =
% 157.83/24.73 v39 & k4_tarski(v35, v39) = v40 & $i(v40) & $i(v39)))))) |
% 157.83/24.73 (k1_mcart_1(v25) = v27 & u2_cat_1(v5) = v8 & $i(v27) & $i(v8) &
% 157.83/24.73 m1_subset_1(v25, v8) & (( ~ (v30 = v29) & k3_cat_1(v5, v25) = v29
% 157.83/24.73 & k2_mcart_1(v27) = v30 & $i(v30) & $i(v29)) | ( ~ (v28 = v26)
% 157.83/24.73 & k2_cat_1(v5, v25) = v26 & k1_mcart_1(v27) = v28 & $i(v28) &
% 157.83/24.73 $i(v26))))))))) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (
% 157.83/24.73 ~ (k11_nattra_1(v0, v1) = v2) | ~ $i(v1) | ~ $i(v0) | ~ l1_cat_1(v1) | ~
% 157.83/24.73 l1_cat_1(v0) | ~ v2_cat_1(v1) | ~ v2_cat_1(v0) | ? [v3: $i] : ? [v4: $i]
% 157.83/24.73 : (k7_cat_2(v0, v1) = v4 & k12_nattra_1(v0, v1) = v3 & $i(v4) & $i(v3) & !
% 157.83/24.73 [v5: $i] : ! [v6: $i] : ( ~ (u1_cat_1(v5) = v6) | ~ $i(v5) | ~
% 157.83/24.73 v1_cat_1(v5) | ~ l1_cat_1(v5) | ~ v2_cat_1(v5) | ? [v7: $i] : ? [v8:
% 157.83/24.73 $i] : ? [v9: $i] : ? [v10: $i] : ? [v11: $i] : ? [v12: $i] : ?
% 157.83/24.73 [v13: $i] : ? [v14: $i] : ? [v15: $i] : ? [v16: $i] : ? [v17: $i] :
% 157.83/24.73 ? [v18: $i] : ? [v19: $i] : ? [v20: $i] : ? [v21: $i] : ? [v22: $i]
% 157.83/24.73 : ? [v23: $i] : ? [v24: $i] : ? [v25: $i] : ? [v26: $i] : ? [v27:
% 157.83/24.73 $i] : ? [v28: $i] : ? [v29: $i] : ? [v30: $i] : ($i(v25) & $i(v22)
% 157.83/24.73 & $i(v20) & $i(v17) & $i(v16) & $i(v12) & $i(v10) & ( ~ (v6 = v4) | v5
% 157.83/24.73 = v3 | (v23 = v21 & k1_relat_1(v8) = v9 & k13_cat_2(v5, v5, v22,
% 157.83/24.73 v20) = v24 & k2_cat_1(v5, v22) = v21 & k3_cat_1(v5, v20) = v21 &
% 157.83/24.73 u2_cat_1(v5) = v7 & u5_cat_1(v5) = v8 & $i(v24) & $i(v21) & $i(v9)
% 157.83/24.73 & $i(v8) & $i(v7) & m1_subset_1(v22, v7) & m1_subset_1(v20, v7) &
% 157.83/24.73 ~ r2_hidden(v24, v9)) | (v12 = v10 & ~ (v15 = v11) &
% 157.83/24.73 k10_cat_1(v5, v10) = v11 & k7_nattra_1(v0, v1, v10) = v14 &
% 157.83/24.73 k4_tarski(v13, v14) = v15 & k4_tarski(v10, v10) = v13 & $i(v15) &
% 157.83/24.73 $i(v14) & $i(v13) & $i(v11) & m2_cat_1(v10, v0, v1) &
% 157.83/24.73 m1_subset_1(v10, v4)) | ( ~ (v7 = v2) & u2_cat_1(v5) = v7 &
% 157.83/24.73 $i(v7)) | (k1_relat_1(v8) = v9 & k1_funct_1(v8, v18) = v19 &
% 157.83/24.73 k13_cat_2(v5, v5, v17, v16) = v18 & u2_cat_1(v5) = v7 &
% 157.83/24.73 u5_cat_1(v5) = v8 & $i(v19) & $i(v18) & $i(v9) & $i(v8) & $i(v7) &
% 157.83/24.73 r2_hidden(v18, v9) & m1_subset_1(v17, v7) & m1_subset_1(v16, v7) &
% 157.83/24.73 ! [v31: $i] : ! [v32: $i] : ! [v33: $i] : ! [v34: $i] : !
% 157.83/24.73 [v35: $i] : ( ~ (k4_tarski(v32, v34) = v35) | ~ (k4_tarski(v31,
% 157.83/24.73 v32) = v33) | ~ $i(v34) | ~ $i(v32) | ~ $i(v31) | ~
% 157.83/24.73 m2_cat_1(v34, v0, v1) | ~ m2_cat_1(v32, v0, v1) | ~
% 157.83/24.73 m2_cat_1(v31, v0, v1) | ? [v36: $i] : (k4_tarski(v31, v34) =
% 157.83/24.73 v36 & $i(v36) & ! [v37: $i] : ! [v38: $i] : ! [v39: $i] : (
% 157.83/24.73 ~ (k8_nattra_1(v0, v1, v31, v32, v34, v37, v38) = v39) | ~
% 157.83/24.73 (k4_tarski(v33, v37) = v16) | ~ $i(v38) | ~ $i(v37) | ~
% 157.83/24.73 m2_nattra_1(v38, v0, v1, v32, v34) | ~ m2_nattra_1(v37, v0,
% 157.83/24.73 v1, v31, v32) | ? [v40: $i] : ? [v41: $i] : (( ~ (v41 =
% 157.83/24.73 v19) & k4_tarski(v36, v39) = v41 & $i(v41)) | ( ~ (v40
% 157.83/24.73 = v17) & k4_tarski(v35, v38) = v40 & $i(v40)))) & !
% 157.83/24.73 [v37: $i] : ! [v38: $i] : ( ~ (k4_tarski(v35, v38) = v17) |
% 157.83/24.73 ~ (k4_tarski(v33, v37) = v16) | ~ $i(v38) | ~ $i(v37) | ~
% 157.83/24.73 m2_nattra_1(v38, v0, v1, v32, v34) | ~ m2_nattra_1(v37, v0,
% 157.83/24.73 v1, v31, v32) | ? [v39: $i] : ? [v40: $i] : ( ~ (v40 =
% 157.83/24.73 v19) & k8_nattra_1(v0, v1, v31, v32, v34, v37, v38) =
% 157.83/24.73 v39 & k4_tarski(v36, v39) = v40 & $i(v40) & $i(v39))))) &
% 157.83/24.73 ! [v31: $i] : ! [v32: $i] : ! [v33: $i] : ! [v34: $i] : !
% 157.83/24.73 [v35: $i] : ( ~ (k4_tarski(v31, v34) = v35) | ~ (k4_tarski(v31,
% 157.83/24.73 v32) = v33) | ~ $i(v34) | ~ $i(v32) | ~ $i(v31) | ~
% 157.83/24.73 m2_cat_1(v34, v0, v1) | ~ m2_cat_1(v32, v0, v1) | ~
% 157.83/24.73 m2_cat_1(v31, v0, v1) | ? [v36: $i] : (k4_tarski(v32, v34) =
% 157.83/24.73 v36 & $i(v36) & ! [v37: $i] : ! [v38: $i] : ! [v39: $i] : (
% 157.83/24.73 ~ (k8_nattra_1(v0, v1, v31, v32, v34, v37, v38) = v39) | ~
% 157.83/24.73 (k4_tarski(v33, v37) = v16) | ~ $i(v38) | ~ $i(v37) | ~
% 157.83/24.73 m2_nattra_1(v38, v0, v1, v32, v34) | ~ m2_nattra_1(v37, v0,
% 157.83/24.73 v1, v31, v32) | ? [v40: $i] : ? [v41: $i] : (( ~ (v41 =
% 157.83/24.73 v19) & k4_tarski(v35, v39) = v41 & $i(v41)) | ( ~ (v40
% 157.83/24.73 = v17) & k4_tarski(v36, v38) = v40 & $i(v40)))) & !
% 157.83/24.73 [v37: $i] : ! [v38: $i] : ( ~ (k4_tarski(v36, v38) = v17) |
% 157.83/24.73 ~ (k4_tarski(v33, v37) = v16) | ~ $i(v38) | ~ $i(v37) | ~
% 157.83/24.73 m2_nattra_1(v38, v0, v1, v32, v34) | ~ m2_nattra_1(v37, v0,
% 157.83/24.73 v1, v31, v32) | ? [v39: $i] : ? [v40: $i] : ( ~ (v40 =
% 157.83/24.73 v19) & k8_nattra_1(v0, v1, v31, v32, v34, v37, v38) =
% 157.83/24.73 v39 & k4_tarski(v35, v39) = v40 & $i(v40) & $i(v39)))))) |
% 157.83/24.74 (k1_mcart_1(v25) = v27 & u2_cat_1(v5) = v7 & $i(v27) & $i(v7) &
% 157.83/24.74 m1_subset_1(v25, v7) & (( ~ (v30 = v29) & k3_cat_1(v5, v25) = v29
% 157.83/24.74 & k2_mcart_1(v27) = v30 & $i(v30) & $i(v29)) | ( ~ (v28 = v26)
% 157.83/24.74 & k2_cat_1(v5, v25) = v26 & k1_mcart_1(v27) = v28 & $i(v28) &
% 157.83/24.74 $i(v26))))) & ( ~ (v5 = v3) | (v7 = v2 & v6 = v4 &
% 157.83/24.74 k1_relat_1(v8) = v9 & u2_cat_1(v3) = v2 & u5_cat_1(v3) = v8 &
% 157.83/24.74 $i(v9) & $i(v8) & $i(v2) & ! [v31: $i] : ! [v32: $i] : ! [v33:
% 157.83/24.74 $i] : ! [v34: $i] : ( ~ (k13_cat_2(v3, v3, v33, v31) = v34) |
% 157.83/24.74 ~ (k3_cat_1(v3, v31) = v32) | ~ $i(v33) | ~ $i(v31) | ~
% 157.83/24.74 m1_subset_1(v33, v2) | ~ m1_subset_1(v31, v2) | r2_hidden(v34,
% 157.83/24.74 v9) | ? [v35: $i] : ( ~ (v35 = v32) & k2_cat_1(v3, v33) = v35
% 157.83/24.74 & $i(v35))) & ! [v31: $i] : ! [v32: $i] : ! [v33: $i] : ( ~
% 157.83/24.74 (k10_cat_1(v3, v31) = v32) | ~ (k7_nattra_1(v0, v1, v31) = v33)
% 157.83/24.74 | ~ $i(v31) | ~ m2_cat_1(v31, v0, v1) | ~ m1_subset_1(v31,
% 157.83/24.74 v4) | ? [v34: $i] : (k4_tarski(v34, v33) = v32 &
% 157.83/24.74 k4_tarski(v31, v31) = v34 & $i(v34) & $i(v32))) & ! [v31: $i]
% 157.83/24.74 : ! [v32: $i] : ! [v33: $i] : ( ~ (k10_cat_1(v3, v31) = v32) |
% 157.83/24.74 ~ (k4_tarski(v31, v31) = v33) | ~ $i(v31) | ~ m2_cat_1(v31,
% 157.83/24.74 v0, v1) | ~ m1_subset_1(v31, v4) | ? [v34: $i] :
% 157.83/24.74 (k7_nattra_1(v0, v1, v31) = v34 & k4_tarski(v33, v34) = v32 &
% 157.83/24.74 $i(v34) & $i(v32))) & ! [v31: $i] : ! [v32: $i] : ! [v33:
% 157.83/24.74 $i] : ( ~ (k13_cat_2(v3, v3, v32, v31) = v33) | ~ $i(v32) | ~
% 157.83/24.74 $i(v31) | ~ r2_hidden(v33, v9) | ~ m1_subset_1(v32, v2) | ~
% 157.83/24.74 m1_subset_1(v31, v2) | ? [v34: $i] : ? [v35: $i] : ? [v36:
% 157.83/24.74 $i] : ? [v37: $i] : ? [v38: $i] : ? [v39: $i] : ? [v40:
% 157.83/24.74 $i] : ? [v41: $i] : ? [v42: $i] : ? [v43: $i] :
% 157.83/24.74 (k1_funct_1(v8, v33) = v34 & k8_nattra_1(v0, v1, v35, v36, v38,
% 157.83/24.74 v41, v42) = v43 & k4_tarski(v40, v43) = v34 & k4_tarski(v39,
% 157.83/24.74 v42) = v32 & k4_tarski(v37, v41) = v31 & k4_tarski(v36, v38)
% 157.83/24.74 = v39 & k4_tarski(v35, v38) = v40 & k4_tarski(v35, v36) = v37
% 157.83/24.74 & $i(v43) & $i(v42) & $i(v41) & $i(v40) & $i(v39) & $i(v38) &
% 157.83/24.74 $i(v37) & $i(v36) & $i(v35) & $i(v34) & m2_nattra_1(v42, v0,
% 157.83/24.74 v1, v36, v38) & m2_nattra_1(v41, v0, v1, v35, v36) &
% 157.83/24.74 m2_cat_1(v38, v0, v1) & m2_cat_1(v36, v0, v1) & m2_cat_1(v35,
% 157.83/24.74 v0, v1))) & ! [v31: $i] : ! [v32: $i] : ! [v33: $i] : ( ~
% 157.83/24.74 (k2_cat_1(v3, v33) = v32) | ~ (k3_cat_1(v3, v31) = v32) | ~
% 157.83/24.74 $i(v33) | ~ $i(v31) | ~ m1_subset_1(v33, v2) | ~
% 157.83/24.74 m1_subset_1(v31, v2) | ? [v34: $i] : (k13_cat_2(v3, v3, v33,
% 157.83/24.74 v31) = v34 & $i(v34) & r2_hidden(v34, v9))) & ! [v31: $i] :
% 157.83/24.74 ! [v32: $i] : ( ~ (k2_cat_1(v3, v31) = v32) | ~ $i(v31) | ~
% 157.83/24.74 m1_subset_1(v31, v2) | ? [v33: $i] : ? [v34: $i] :
% 157.83/24.74 (k1_mcart_1(v33) = v32 & k1_mcart_1(v31) = v33 & k3_cat_1(v3,
% 157.83/24.74 v31) = v34 & k2_mcart_1(v33) = v34 & $i(v34) & $i(v33) &
% 157.83/24.74 $i(v32))) & ! [v31: $i] : ! [v32: $i] : ( ~ (k1_mcart_1(v31)
% 157.83/24.74 = v32) | ~ $i(v31) | ~ m1_subset_1(v31, v2) | ? [v33: $i] :
% 157.83/24.74 ? [v34: $i] : (k2_cat_1(v3, v31) = v33 & k1_mcart_1(v32) = v33
% 157.83/24.74 & k3_cat_1(v3, v31) = v34 & k2_mcart_1(v32) = v34 & $i(v34) &
% 157.83/24.74 $i(v33))) & ! [v31: $i] : ! [v32: $i] : ( ~ (k3_cat_1(v3,
% 157.83/24.74 v31) = v32) | ~ $i(v31) | ~ m1_subset_1(v31, v2) | ?
% 157.83/24.74 [v33: $i] : ? [v34: $i] : (k2_cat_1(v3, v31) = v33 &
% 157.83/24.74 k1_mcart_1(v34) = v33 & k1_mcart_1(v31) = v34 &
% 157.83/24.74 k2_mcart_1(v34) = v32 & $i(v34) & $i(v33) & $i(v32))))))) & !
% 157.83/24.74 [v5: $i] : ! [v6: $i] : ( ~ (u2_cat_1(v5) = v6) | ~ $i(v5) | ~
% 157.83/24.74 v1_cat_1(v5) | ~ l1_cat_1(v5) | ~ v2_cat_1(v5) | ? [v7: $i] : ? [v8:
% 157.83/24.74 $i] : ? [v9: $i] : ? [v10: $i] : ? [v11: $i] : ? [v12: $i] : ?
% 157.83/24.74 [v13: $i] : ? [v14: $i] : ? [v15: $i] : ? [v16: $i] : ? [v17: $i] :
% 157.83/24.74 ? [v18: $i] : ? [v19: $i] : ? [v20: $i] : ? [v21: $i] : ? [v22: $i]
% 157.83/24.74 : ? [v23: $i] : ? [v24: $i] : ? [v25: $i] : ? [v26: $i] : ? [v27:
% 157.83/24.74 $i] : ? [v28: $i] : ? [v29: $i] : ? [v30: $i] : ($i(v25) & $i(v22)
% 157.83/24.74 & $i(v20) & $i(v17) & $i(v16) & $i(v12) & $i(v10) & ( ~ (v6 = v2) | v5
% 157.83/24.74 = v3 | (v23 = v21 & k1_relat_1(v8) = v9 & k13_cat_2(v5, v5, v22,
% 157.83/24.74 v20) = v24 & k2_cat_1(v5, v22) = v21 & k3_cat_1(v5, v20) = v21 &
% 157.83/24.74 u5_cat_1(v5) = v8 & $i(v24) & $i(v21) & $i(v9) & $i(v8) &
% 157.83/24.74 m1_subset_1(v22, v2) & m1_subset_1(v20, v2) & ~ r2_hidden(v24,
% 157.83/24.74 v9)) | (v12 = v10 & ~ (v15 = v11) & k10_cat_1(v5, v10) = v11 &
% 157.83/24.74 k7_nattra_1(v0, v1, v10) = v14 & k4_tarski(v13, v14) = v15 &
% 157.83/24.74 k4_tarski(v10, v10) = v13 & u1_cat_1(v5) = v7 & $i(v15) & $i(v14)
% 157.83/24.74 & $i(v13) & $i(v11) & $i(v7) & m2_cat_1(v10, v0, v1) &
% 157.83/24.74 m1_subset_1(v10, v7)) | ( ~ (v7 = v4) & u1_cat_1(v5) = v7 &
% 157.83/24.74 $i(v7)) | (k1_relat_1(v8) = v9 & k1_funct_1(v8, v18) = v19 &
% 157.83/24.74 k13_cat_2(v5, v5, v17, v16) = v18 & u5_cat_1(v5) = v8 & $i(v19) &
% 157.83/24.74 $i(v18) & $i(v9) & $i(v8) & r2_hidden(v18, v9) & m1_subset_1(v17,
% 157.83/24.74 v2) & m1_subset_1(v16, v2) & ! [v31: $i] : ! [v32: $i] : !
% 157.83/24.74 [v33: $i] : ! [v34: $i] : ! [v35: $i] : ( ~ (k4_tarski(v32, v34)
% 157.83/24.74 = v35) | ~ (k4_tarski(v31, v32) = v33) | ~ $i(v34) | ~
% 157.83/24.74 $i(v32) | ~ $i(v31) | ~ m2_cat_1(v34, v0, v1) | ~
% 157.83/24.74 m2_cat_1(v32, v0, v1) | ~ m2_cat_1(v31, v0, v1) | ? [v36: $i]
% 157.83/24.74 : (k4_tarski(v31, v34) = v36 & $i(v36) & ! [v37: $i] : ! [v38:
% 157.83/24.74 $i] : ! [v39: $i] : ( ~ (k8_nattra_1(v0, v1, v31, v32, v34,
% 157.83/24.74 v37, v38) = v39) | ~ (k4_tarski(v33, v37) = v16) | ~
% 157.83/24.74 $i(v38) | ~ $i(v37) | ~ m2_nattra_1(v38, v0, v1, v32, v34)
% 157.83/24.74 | ~ m2_nattra_1(v37, v0, v1, v31, v32) | ? [v40: $i] : ?
% 157.83/24.74 [v41: $i] : (( ~ (v41 = v19) & k4_tarski(v36, v39) = v41 &
% 157.83/24.74 $i(v41)) | ( ~ (v40 = v17) & k4_tarski(v35, v38) = v40 &
% 157.83/24.74 $i(v40)))) & ! [v37: $i] : ! [v38: $i] : ( ~
% 157.83/24.74 (k4_tarski(v35, v38) = v17) | ~ (k4_tarski(v33, v37) = v16)
% 157.83/24.74 | ~ $i(v38) | ~ $i(v37) | ~ m2_nattra_1(v38, v0, v1, v32,
% 157.83/24.74 v34) | ~ m2_nattra_1(v37, v0, v1, v31, v32) | ? [v39:
% 157.83/24.74 $i] : ? [v40: $i] : ( ~ (v40 = v19) & k8_nattra_1(v0, v1,
% 157.83/24.74 v31, v32, v34, v37, v38) = v39 & k4_tarski(v36, v39) =
% 157.83/24.74 v40 & $i(v40) & $i(v39))))) & ! [v31: $i] : ! [v32: $i]
% 157.83/24.74 : ! [v33: $i] : ! [v34: $i] : ! [v35: $i] : ( ~ (k4_tarski(v31,
% 157.83/24.74 v34) = v35) | ~ (k4_tarski(v31, v32) = v33) | ~ $i(v34) |
% 157.83/24.74 ~ $i(v32) | ~ $i(v31) | ~ m2_cat_1(v34, v0, v1) | ~
% 157.83/24.74 m2_cat_1(v32, v0, v1) | ~ m2_cat_1(v31, v0, v1) | ? [v36: $i]
% 157.83/24.74 : (k4_tarski(v32, v34) = v36 & $i(v36) & ! [v37: $i] : ! [v38:
% 157.83/24.74 $i] : ! [v39: $i] : ( ~ (k8_nattra_1(v0, v1, v31, v32, v34,
% 157.83/24.74 v37, v38) = v39) | ~ (k4_tarski(v33, v37) = v16) | ~
% 157.83/24.74 $i(v38) | ~ $i(v37) | ~ m2_nattra_1(v38, v0, v1, v32, v34)
% 157.83/24.74 | ~ m2_nattra_1(v37, v0, v1, v31, v32) | ? [v40: $i] : ?
% 157.83/24.74 [v41: $i] : (( ~ (v41 = v19) & k4_tarski(v35, v39) = v41 &
% 157.83/24.74 $i(v41)) | ( ~ (v40 = v17) & k4_tarski(v36, v38) = v40 &
% 157.83/24.74 $i(v40)))) & ! [v37: $i] : ! [v38: $i] : ( ~
% 157.83/24.74 (k4_tarski(v36, v38) = v17) | ~ (k4_tarski(v33, v37) = v16)
% 157.83/24.74 | ~ $i(v38) | ~ $i(v37) | ~ m2_nattra_1(v38, v0, v1, v32,
% 157.83/24.74 v34) | ~ m2_nattra_1(v37, v0, v1, v31, v32) | ? [v39:
% 157.83/24.74 $i] : ? [v40: $i] : ( ~ (v40 = v19) & k8_nattra_1(v0, v1,
% 157.83/24.74 v31, v32, v34, v37, v38) = v39 & k4_tarski(v35, v39) =
% 157.83/24.74 v40 & $i(v40) & $i(v39)))))) | (k1_mcart_1(v25) = v27 &
% 157.83/24.74 $i(v27) & m1_subset_1(v25, v2) & (( ~ (v30 = v29) & k3_cat_1(v5,
% 157.83/24.74 v25) = v29 & k2_mcart_1(v27) = v30 & $i(v30) & $i(v29)) | (
% 157.83/24.74 ~ (v28 = v26) & k2_cat_1(v5, v25) = v26 & k1_mcart_1(v27) =
% 157.83/24.74 v28 & $i(v28) & $i(v26))))) & ( ~ (v5 = v3) | (v7 = v4 & v6 =
% 157.83/24.74 v2 & k1_relat_1(v8) = v9 & u1_cat_1(v3) = v4 & u5_cat_1(v3) = v8 &
% 157.83/24.74 $i(v9) & $i(v8) & ! [v31: $i] : ! [v32: $i] : ! [v33: $i] : !
% 157.83/24.74 [v34: $i] : ( ~ (k13_cat_2(v3, v3, v33, v31) = v34) | ~
% 157.83/24.74 (k3_cat_1(v3, v31) = v32) | ~ $i(v33) | ~ $i(v31) | ~
% 157.83/24.74 m1_subset_1(v33, v2) | ~ m1_subset_1(v31, v2) | r2_hidden(v34,
% 157.83/24.74 v9) | ? [v35: $i] : ( ~ (v35 = v32) & k2_cat_1(v3, v33) = v35
% 157.83/24.74 & $i(v35))) & ! [v31: $i] : ! [v32: $i] : ! [v33: $i] : ( ~
% 157.83/24.74 (k10_cat_1(v3, v31) = v32) | ~ (k7_nattra_1(v0, v1, v31) = v33)
% 157.83/24.74 | ~ $i(v31) | ~ m2_cat_1(v31, v0, v1) | ~ m1_subset_1(v31,
% 157.83/24.74 v4) | ? [v34: $i] : (k4_tarski(v34, v33) = v32 &
% 157.83/24.74 k4_tarski(v31, v31) = v34 & $i(v34) & $i(v32))) & ! [v31: $i]
% 157.83/24.74 : ! [v32: $i] : ! [v33: $i] : ( ~ (k10_cat_1(v3, v31) = v32) |
% 157.83/24.74 ~ (k4_tarski(v31, v31) = v33) | ~ $i(v31) | ~ m2_cat_1(v31,
% 157.83/24.74 v0, v1) | ~ m1_subset_1(v31, v4) | ? [v34: $i] :
% 157.83/24.74 (k7_nattra_1(v0, v1, v31) = v34 & k4_tarski(v33, v34) = v32 &
% 157.83/24.74 $i(v34) & $i(v32))) & ! [v31: $i] : ! [v32: $i] : ! [v33:
% 157.83/24.74 $i] : ( ~ (k13_cat_2(v3, v3, v32, v31) = v33) | ~ $i(v32) | ~
% 157.83/24.74 $i(v31) | ~ r2_hidden(v33, v9) | ~ m1_subset_1(v32, v2) | ~
% 157.83/24.74 m1_subset_1(v31, v2) | ? [v34: $i] : ? [v35: $i] : ? [v36:
% 157.83/24.74 $i] : ? [v37: $i] : ? [v38: $i] : ? [v39: $i] : ? [v40:
% 157.83/24.74 $i] : ? [v41: $i] : ? [v42: $i] : ? [v43: $i] :
% 157.83/24.74 (k1_funct_1(v8, v33) = v34 & k8_nattra_1(v0, v1, v35, v36, v38,
% 157.83/24.74 v41, v42) = v43 & k4_tarski(v40, v43) = v34 & k4_tarski(v39,
% 157.83/24.74 v42) = v32 & k4_tarski(v37, v41) = v31 & k4_tarski(v36, v38)
% 157.83/24.74 = v39 & k4_tarski(v35, v38) = v40 & k4_tarski(v35, v36) = v37
% 157.83/24.74 & $i(v43) & $i(v42) & $i(v41) & $i(v40) & $i(v39) & $i(v38) &
% 157.83/24.74 $i(v37) & $i(v36) & $i(v35) & $i(v34) & m2_nattra_1(v42, v0,
% 157.83/24.74 v1, v36, v38) & m2_nattra_1(v41, v0, v1, v35, v36) &
% 157.83/24.74 m2_cat_1(v38, v0, v1) & m2_cat_1(v36, v0, v1) & m2_cat_1(v35,
% 157.83/24.74 v0, v1))) & ! [v31: $i] : ! [v32: $i] : ! [v33: $i] : ( ~
% 157.83/24.74 (k2_cat_1(v3, v33) = v32) | ~ (k3_cat_1(v3, v31) = v32) | ~
% 157.83/24.74 $i(v33) | ~ $i(v31) | ~ m1_subset_1(v33, v2) | ~
% 157.83/24.74 m1_subset_1(v31, v2) | ? [v34: $i] : (k13_cat_2(v3, v3, v33,
% 157.83/24.74 v31) = v34 & $i(v34) & r2_hidden(v34, v9))) & ! [v31: $i] :
% 157.83/24.74 ! [v32: $i] : ( ~ (k2_cat_1(v3, v31) = v32) | ~ $i(v31) | ~
% 157.83/24.74 m1_subset_1(v31, v2) | ? [v33: $i] : ? [v34: $i] :
% 157.83/24.74 (k1_mcart_1(v33) = v32 & k1_mcart_1(v31) = v33 & k3_cat_1(v3,
% 157.83/24.74 v31) = v34 & k2_mcart_1(v33) = v34 & $i(v34) & $i(v33) &
% 157.83/24.74 $i(v32))) & ! [v31: $i] : ! [v32: $i] : ( ~ (k1_mcart_1(v31)
% 157.83/24.74 = v32) | ~ $i(v31) | ~ m1_subset_1(v31, v2) | ? [v33: $i] :
% 157.83/24.74 ? [v34: $i] : (k2_cat_1(v3, v31) = v33 & k1_mcart_1(v32) = v33
% 157.83/24.74 & k3_cat_1(v3, v31) = v34 & k2_mcart_1(v32) = v34 & $i(v34) &
% 157.83/24.74 $i(v33))) & ! [v31: $i] : ! [v32: $i] : ( ~ (k3_cat_1(v3,
% 157.83/24.74 v31) = v32) | ~ $i(v31) | ~ m1_subset_1(v31, v2) | ?
% 157.83/24.74 [v33: $i] : ? [v34: $i] : (k2_cat_1(v3, v31) = v33 &
% 157.83/24.74 k1_mcart_1(v34) = v33 & k1_mcart_1(v31) = v34 &
% 157.83/24.74 k2_mcart_1(v34) = v32 & $i(v34) & $i(v33) & $i(v32))))))) & !
% 157.83/24.74 [v5: $i] : ! [v6: $i] : ( ~ (u5_cat_1(v5) = v6) | ~ $i(v5) | ~
% 157.83/24.74 v1_cat_1(v5) | ~ l1_cat_1(v5) | ~ v2_cat_1(v5) | ? [v7: $i] : ? [v8:
% 157.83/24.74 $i] : ? [v9: $i] : ? [v10: $i] : ? [v11: $i] : ? [v12: $i] : ?
% 157.83/24.74 [v13: $i] : ? [v14: $i] : ? [v15: $i] : ? [v16: $i] : ? [v17: $i] :
% 157.83/24.74 ? [v18: $i] : ? [v19: $i] : ? [v20: $i] : ? [v21: $i] : ? [v22: $i]
% 157.83/24.74 : ? [v23: $i] : ? [v24: $i] : ? [v25: $i] : ? [v26: $i] : ? [v27:
% 157.83/24.74 $i] : ? [v28: $i] : ? [v29: $i] : ? [v30: $i] : ($i(v25) & $i(v22)
% 157.83/24.74 & $i(v20) & $i(v17) & $i(v16) & $i(v12) & $i(v10) & ( ~ (v5 = v3) |
% 157.83/24.74 (v8 = v2 & v7 = v4 & k1_relat_1(v6) = v9 & u1_cat_1(v3) = v4 &
% 157.83/24.74 u2_cat_1(v3) = v2 & $i(v9) & $i(v2) & ! [v31: $i] : ! [v32: $i]
% 157.83/24.74 : ! [v33: $i] : ! [v34: $i] : ( ~ (k13_cat_2(v3, v3, v33, v31) =
% 157.83/24.74 v34) | ~ (k3_cat_1(v3, v31) = v32) | ~ $i(v33) | ~ $i(v31)
% 157.83/24.74 | ~ m1_subset_1(v33, v2) | ~ m1_subset_1(v31, v2) |
% 157.83/24.74 r2_hidden(v34, v9) | ? [v35: $i] : ( ~ (v35 = v32) &
% 157.83/24.74 k2_cat_1(v3, v33) = v35 & $i(v35))) & ! [v31: $i] : ! [v32:
% 157.83/24.74 $i] : ! [v33: $i] : ( ~ (k10_cat_1(v3, v31) = v32) | ~
% 157.83/24.74 (k7_nattra_1(v0, v1, v31) = v33) | ~ $i(v31) | ~ m2_cat_1(v31,
% 157.83/24.74 v0, v1) | ~ m1_subset_1(v31, v4) | ? [v34: $i] :
% 157.83/24.74 (k4_tarski(v34, v33) = v32 & k4_tarski(v31, v31) = v34 & $i(v34)
% 157.83/24.74 & $i(v32))) & ! [v31: $i] : ! [v32: $i] : ! [v33: $i] : ( ~
% 157.83/24.74 (k10_cat_1(v3, v31) = v32) | ~ (k4_tarski(v31, v31) = v33) | ~
% 157.83/24.74 $i(v31) | ~ m2_cat_1(v31, v0, v1) | ~ m1_subset_1(v31, v4) |
% 157.83/24.74 ? [v34: $i] : (k7_nattra_1(v0, v1, v31) = v34 & k4_tarski(v33,
% 157.83/24.74 v34) = v32 & $i(v34) & $i(v32))) & ! [v31: $i] : ! [v32:
% 157.83/24.74 $i] : ! [v33: $i] : ( ~ (k13_cat_2(v3, v3, v32, v31) = v33) |
% 157.83/24.74 ~ $i(v32) | ~ $i(v31) | ~ r2_hidden(v33, v9) | ~
% 157.83/24.74 m1_subset_1(v32, v2) | ~ m1_subset_1(v31, v2) | ? [v34: $i] :
% 157.83/24.74 ? [v35: $i] : ? [v36: $i] : ? [v37: $i] : ? [v38: $i] : ?
% 157.83/24.74 [v39: $i] : ? [v40: $i] : ? [v41: $i] : ? [v42: $i] : ?
% 157.83/24.74 [v43: $i] : (k1_funct_1(v6, v33) = v34 & k8_nattra_1(v0, v1,
% 157.83/24.74 v35, v36, v38, v41, v42) = v43 & k4_tarski(v40, v43) = v34 &
% 157.83/24.74 k4_tarski(v39, v42) = v32 & k4_tarski(v37, v41) = v31 &
% 157.83/24.74 k4_tarski(v36, v38) = v39 & k4_tarski(v35, v38) = v40 &
% 157.83/24.74 k4_tarski(v35, v36) = v37 & $i(v43) & $i(v42) & $i(v41) &
% 157.83/24.74 $i(v40) & $i(v39) & $i(v38) & $i(v37) & $i(v36) & $i(v35) &
% 157.83/24.74 $i(v34) & m2_nattra_1(v42, v0, v1, v36, v38) &
% 157.83/24.74 m2_nattra_1(v41, v0, v1, v35, v36) & m2_cat_1(v38, v0, v1) &
% 157.83/24.74 m2_cat_1(v36, v0, v1) & m2_cat_1(v35, v0, v1))) & ! [v31: $i]
% 157.83/24.74 : ! [v32: $i] : ! [v33: $i] : ( ~ (k2_cat_1(v3, v33) = v32) | ~
% 157.83/24.74 (k3_cat_1(v3, v31) = v32) | ~ $i(v33) | ~ $i(v31) | ~
% 157.83/24.74 m1_subset_1(v33, v2) | ~ m1_subset_1(v31, v2) | ? [v34: $i] :
% 157.83/24.74 (k13_cat_2(v3, v3, v33, v31) = v34 & $i(v34) & r2_hidden(v34,
% 157.83/24.74 v9))) & ! [v31: $i] : ! [v32: $i] : ( ~ (k2_cat_1(v3, v31)
% 157.83/24.74 = v32) | ~ $i(v31) | ~ m1_subset_1(v31, v2) | ? [v33: $i] :
% 157.83/24.74 ? [v34: $i] : (k1_mcart_1(v33) = v32 & k1_mcart_1(v31) = v33 &
% 157.83/24.74 k3_cat_1(v3, v31) = v34 & k2_mcart_1(v33) = v34 & $i(v34) &
% 157.83/24.74 $i(v33) & $i(v32))) & ! [v31: $i] : ! [v32: $i] : ( ~
% 157.83/24.74 (k1_mcart_1(v31) = v32) | ~ $i(v31) | ~ m1_subset_1(v31, v2) |
% 157.83/24.74 ? [v33: $i] : ? [v34: $i] : (k2_cat_1(v3, v31) = v33 &
% 157.83/24.74 k1_mcart_1(v32) = v33 & k3_cat_1(v3, v31) = v34 &
% 157.83/24.74 k2_mcart_1(v32) = v34 & $i(v34) & $i(v33))) & ! [v31: $i] :
% 157.83/24.74 ! [v32: $i] : ( ~ (k3_cat_1(v3, v31) = v32) | ~ $i(v31) | ~
% 157.83/24.74 m1_subset_1(v31, v2) | ? [v33: $i] : ? [v34: $i] :
% 157.83/24.74 (k2_cat_1(v3, v31) = v33 & k1_mcart_1(v34) = v33 &
% 157.83/24.74 k1_mcart_1(v31) = v34 & k2_mcart_1(v34) = v32 & $i(v34) &
% 157.83/24.74 $i(v33) & $i(v32))))) & (v5 = v3 | (v23 = v21 & k1_relat_1(v6)
% 157.83/24.74 = v9 & k13_cat_2(v5, v5, v22, v20) = v24 & k2_cat_1(v5, v22) = v21
% 157.83/24.74 & k3_cat_1(v5, v20) = v21 & u2_cat_1(v5) = v8 & $i(v24) & $i(v21)
% 157.83/24.74 & $i(v9) & $i(v8) & m1_subset_1(v22, v8) & m1_subset_1(v20, v8) &
% 157.83/24.74 ~ r2_hidden(v24, v9)) | (v12 = v10 & ~ (v15 = v11) &
% 157.83/24.74 k10_cat_1(v5, v10) = v11 & k7_nattra_1(v0, v1, v10) = v14 &
% 157.83/24.74 k4_tarski(v13, v14) = v15 & k4_tarski(v10, v10) = v13 &
% 157.83/24.74 u1_cat_1(v5) = v7 & $i(v15) & $i(v14) & $i(v13) & $i(v11) & $i(v7)
% 157.83/24.74 & m2_cat_1(v10, v0, v1) & m1_subset_1(v10, v7)) | ( ~ (v8 = v2) &
% 157.83/24.74 u2_cat_1(v5) = v8 & $i(v8)) | ( ~ (v7 = v4) & u1_cat_1(v5) = v7 &
% 157.83/24.74 $i(v7)) | (k1_relat_1(v6) = v9 & k1_funct_1(v6, v18) = v19 &
% 157.83/24.74 k13_cat_2(v5, v5, v17, v16) = v18 & u2_cat_1(v5) = v8 & $i(v19) &
% 157.83/24.74 $i(v18) & $i(v9) & $i(v8) & r2_hidden(v18, v9) & m1_subset_1(v17,
% 157.83/24.74 v8) & m1_subset_1(v16, v8) & ! [v31: $i] : ! [v32: $i] : !
% 157.83/24.74 [v33: $i] : ! [v34: $i] : ! [v35: $i] : ( ~ (k4_tarski(v32, v34)
% 157.83/24.74 = v35) | ~ (k4_tarski(v31, v32) = v33) | ~ $i(v34) | ~
% 157.83/24.74 $i(v32) | ~ $i(v31) | ~ m2_cat_1(v34, v0, v1) | ~
% 157.83/24.74 m2_cat_1(v32, v0, v1) | ~ m2_cat_1(v31, v0, v1) | ? [v36: $i]
% 157.83/24.74 : (k4_tarski(v31, v34) = v36 & $i(v36) & ! [v37: $i] : ! [v38:
% 157.83/24.74 $i] : ! [v39: $i] : ( ~ (k8_nattra_1(v0, v1, v31, v32, v34,
% 157.83/24.74 v37, v38) = v39) | ~ (k4_tarski(v33, v37) = v16) | ~
% 157.83/24.74 $i(v38) | ~ $i(v37) | ~ m2_nattra_1(v38, v0, v1, v32, v34)
% 157.83/24.74 | ~ m2_nattra_1(v37, v0, v1, v31, v32) | ? [v40: $i] : ?
% 157.83/24.74 [v41: $i] : (( ~ (v41 = v19) & k4_tarski(v36, v39) = v41 &
% 157.83/24.74 $i(v41)) | ( ~ (v40 = v17) & k4_tarski(v35, v38) = v40 &
% 157.83/24.74 $i(v40)))) & ! [v37: $i] : ! [v38: $i] : ( ~
% 157.83/24.74 (k4_tarski(v35, v38) = v17) | ~ (k4_tarski(v33, v37) = v16)
% 157.83/24.74 | ~ $i(v38) | ~ $i(v37) | ~ m2_nattra_1(v38, v0, v1, v32,
% 157.83/24.74 v34) | ~ m2_nattra_1(v37, v0, v1, v31, v32) | ? [v39:
% 157.83/24.74 $i] : ? [v40: $i] : ( ~ (v40 = v19) & k8_nattra_1(v0, v1,
% 157.83/24.74 v31, v32, v34, v37, v38) = v39 & k4_tarski(v36, v39) =
% 157.83/24.74 v40 & $i(v40) & $i(v39))))) & ! [v31: $i] : ! [v32: $i]
% 157.83/24.74 : ! [v33: $i] : ! [v34: $i] : ! [v35: $i] : ( ~ (k4_tarski(v31,
% 157.83/24.74 v34) = v35) | ~ (k4_tarski(v31, v32) = v33) | ~ $i(v34) |
% 157.83/24.74 ~ $i(v32) | ~ $i(v31) | ~ m2_cat_1(v34, v0, v1) | ~
% 157.83/24.74 m2_cat_1(v32, v0, v1) | ~ m2_cat_1(v31, v0, v1) | ? [v36: $i]
% 157.83/24.74 : (k4_tarski(v32, v34) = v36 & $i(v36) & ! [v37: $i] : ! [v38:
% 157.83/24.74 $i] : ! [v39: $i] : ( ~ (k8_nattra_1(v0, v1, v31, v32, v34,
% 157.83/24.74 v37, v38) = v39) | ~ (k4_tarski(v33, v37) = v16) | ~
% 157.83/24.74 $i(v38) | ~ $i(v37) | ~ m2_nattra_1(v38, v0, v1, v32, v34)
% 157.83/24.74 | ~ m2_nattra_1(v37, v0, v1, v31, v32) | ? [v40: $i] : ?
% 157.83/24.74 [v41: $i] : (( ~ (v41 = v19) & k4_tarski(v35, v39) = v41 &
% 157.83/24.74 $i(v41)) | ( ~ (v40 = v17) & k4_tarski(v36, v38) = v40 &
% 157.83/24.74 $i(v40)))) & ! [v37: $i] : ! [v38: $i] : ( ~
% 157.83/24.74 (k4_tarski(v36, v38) = v17) | ~ (k4_tarski(v33, v37) = v16)
% 157.83/24.74 | ~ $i(v38) | ~ $i(v37) | ~ m2_nattra_1(v38, v0, v1, v32,
% 157.83/24.74 v34) | ~ m2_nattra_1(v37, v0, v1, v31, v32) | ? [v39:
% 157.83/24.74 $i] : ? [v40: $i] : ( ~ (v40 = v19) & k8_nattra_1(v0, v1,
% 157.83/24.74 v31, v32, v34, v37, v38) = v39 & k4_tarski(v35, v39) =
% 157.83/24.74 v40 & $i(v40) & $i(v39)))))) | (k1_mcart_1(v25) = v27 &
% 157.83/24.74 u2_cat_1(v5) = v8 & $i(v27) & $i(v8) & m1_subset_1(v25, v8) & (( ~
% 157.83/24.74 (v30 = v29) & k3_cat_1(v5, v25) = v29 & k2_mcart_1(v27) = v30
% 157.83/24.74 & $i(v30) & $i(v29)) | ( ~ (v28 = v26) & k2_cat_1(v5, v25) =
% 157.83/24.74 v26 & k1_mcart_1(v27) = v28 & $i(v28) & $i(v26)))))))))
% 157.83/24.74
% 157.83/24.74 (d2_yoneda_1)
% 157.83/24.74 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~ (k20_ens_1(v0, v2)
% 157.83/24.74 = v3) | ~ (u1_cat_1(v0) = v1) | ~ $i(v2) | ~ $i(v0) | ~
% 157.83/24.74 m1_subset_1(v2, v1) | ~ l1_cat_1(v0) | ~ v2_cat_1(v0) | (k2_yoneda_1(v0,
% 157.83/24.74 v2) = v3 & $i(v3))) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3:
% 157.83/24.74 $i] : ( ~ (k2_yoneda_1(v0, v2) = v3) | ~ (u1_cat_1(v0) = v1) | ~ $i(v2) |
% 157.83/24.74 ~ $i(v0) | ~ m1_subset_1(v2, v1) | ~ l1_cat_1(v0) | ~ v2_cat_1(v0) |
% 157.83/24.74 (k20_ens_1(v0, v2) = v3 & $i(v3)))
% 157.83/24.74
% 158.57/24.75 (d5_tarski)
% 158.57/24.75 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ (k4_tarski(v0, v1) = v2) | ~
% 158.57/24.75 $i(v1) | ~ $i(v0) | ? [v3: $i] : ? [v4: $i] : (k1_tarski(v0) = v4 &
% 158.57/24.75 k2_tarski(v3, v4) = v2 & k2_tarski(v0, v1) = v3 & $i(v4) & $i(v3) &
% 158.57/24.75 $i(v2))) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ (k2_tarski(v0,
% 158.57/24.75 v1) = v2) | ~ $i(v1) | ~ $i(v0) | ? [v3: $i] : ? [v4: $i] :
% 158.57/24.75 (k1_tarski(v0) = v4 & k4_tarski(v0, v1) = v3 & k2_tarski(v2, v4) = v3 &
% 158.57/24.75 $i(v4) & $i(v3)))
% 158.57/24.75
% 158.57/24.75 (dt_k11_nattra_1)
% 158.57/24.75 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ (k11_nattra_1(v0, v1) = v2) | ~
% 158.57/24.75 $i(v1) | ~ $i(v0) | ~ l1_cat_1(v1) | ~ l1_cat_1(v0) | ~ v2_cat_1(v1) |
% 158.57/24.75 ~ v2_cat_1(v0) | m4_nattra_1(v2, v0, v1))
% 158.57/24.75
% 158.57/24.75 (dt_k12_nattra_1)
% 158.57/24.75 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ (k12_nattra_1(v0, v1) = v2) | ~
% 158.57/24.75 $i(v1) | ~ $i(v0) | ~ l1_cat_1(v1) | ~ l1_cat_1(v0) | ~ v2_cat_1(v1) |
% 158.57/24.75 ~ v2_cat_1(v0) | v1_cat_1(v2)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (
% 158.57/24.75 ~ (k12_nattra_1(v0, v1) = v2) | ~ $i(v1) | ~ $i(v0) | ~ l1_cat_1(v1) | ~
% 158.57/24.75 l1_cat_1(v0) | ~ v2_cat_1(v1) | ~ v2_cat_1(v0) | l1_cat_1(v2)) & ! [v0:
% 158.57/24.75 $i] : ! [v1: $i] : ! [v2: $i] : ( ~ (k12_nattra_1(v0, v1) = v2) | ~
% 158.57/24.75 $i(v1) | ~ $i(v0) | ~ l1_cat_1(v1) | ~ l1_cat_1(v0) | ~ v2_cat_1(v1) |
% 158.57/24.75 ~ v2_cat_1(v0) | v2_cat_1(v2))
% 158.57/24.75
% 158.57/24.75 (dt_k1_yoneda_1)
% 158.57/24.75 ! [v0: $i] : ! [v1: $i] : ( ~ (k1_yoneda_1(v0) = v1) | ~ $i(v0) | ~
% 158.57/24.75 l1_cat_1(v0) | ~ v2_cat_1(v0) | l1_cat_1(v1)) & ! [v0: $i] : ! [v1: $i] :
% 158.57/24.75 ( ~ (k1_yoneda_1(v0) = v1) | ~ $i(v0) | ~ l1_cat_1(v0) | ~ v2_cat_1(v0) |
% 158.57/24.75 v2_cat_1(v1))
% 158.57/24.75
% 158.57/24.75 (dt_k2_cat_1)
% 158.57/24.75 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ (k2_cat_1(v0, v1) = v2) | ~
% 158.57/24.75 $i(v1) | ~ $i(v0) | ~ l1_cat_1(v0) | ? [v3: $i] : ? [v4: $i] :
% 158.57/24.75 ((u1_cat_1(v0) = v4 & $i(v4) & m1_subset_1(v2, v4)) | (u2_cat_1(v0) = v3 &
% 158.57/24.75 $i(v3) & ~ m1_subset_1(v1, v3))))
% 158.57/24.75
% 158.57/24.75 (dt_k2_yoneda_1)
% 158.57/24.75 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ (k2_yoneda_1(v0, v1) = v2) | ~
% 158.57/24.75 $i(v1) | ~ $i(v0) | ~ l1_cat_1(v0) | ~ v2_cat_1(v0) | ? [v3: $i] : ?
% 158.57/24.75 [v4: $i] : ((k1_yoneda_1(v0) = v4 & $i(v4) & m2_cat_1(v2, v0, v4)) |
% 158.57/24.75 (u1_cat_1(v0) = v3 & $i(v3) & ~ m1_subset_1(v1, v3))))
% 158.57/24.75
% 158.57/24.75 (dt_k3_cat_1)
% 158.57/24.75 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ (k3_cat_1(v0, v1) = v2) | ~
% 158.57/24.75 $i(v1) | ~ $i(v0) | ~ l1_cat_1(v0) | ? [v3: $i] : ? [v4: $i] :
% 158.57/24.75 ((u1_cat_1(v0) = v4 & $i(v4) & m1_subset_1(v2, v4)) | (u2_cat_1(v0) = v3 &
% 158.57/24.75 $i(v3) & ~ m1_subset_1(v1, v3))))
% 158.57/24.75
% 158.57/24.75 (dt_k3_yoneda_1)
% 158.57/24.75 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ (k3_yoneda_1(v0, v1) = v2) | ~
% 158.57/24.75 $i(v1) | ~ $i(v0) | ~ l1_cat_1(v0) | ~ v2_cat_1(v0) | ? [v3: $i] : ?
% 158.57/24.75 [v4: $i] : ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : ? [v8: $i] :
% 158.57/24.75 ((k2_yoneda_1(v0, v7) = v8 & k2_yoneda_1(v0, v5) = v6 & k1_yoneda_1(v0) = v4
% 158.57/24.75 & k2_cat_1(v0, v1) = v7 & k3_cat_1(v0, v1) = v5 & $i(v8) & $i(v7) &
% 158.57/24.75 $i(v6) & $i(v5) & $i(v4) & m2_nattra_1(v2, v0, v4, v6, v8)) |
% 158.57/24.75 (u2_cat_1(v0) = v3 & $i(v3) & ~ m1_subset_1(v1, v3)))) & ! [v0: $i] : !
% 158.57/24.75 [v1: $i] : ! [v2: $i] : ( ~ (k2_cat_1(v0, v1) = v2) | ~ $i(v1) | ~ $i(v0) |
% 158.57/24.75 ~ l1_cat_1(v0) | ~ v2_cat_1(v0) | ? [v3: $i] : ? [v4: $i] : ? [v5: $i]
% 158.57/24.75 : ? [v6: $i] : ? [v7: $i] : ? [v8: $i] : ((k3_yoneda_1(v0, v1) = v4 &
% 158.57/24.75 k2_yoneda_1(v0, v6) = v7 & k2_yoneda_1(v0, v2) = v8 & k1_yoneda_1(v0) =
% 158.57/24.75 v5 & k3_cat_1(v0, v1) = v6 & $i(v8) & $i(v7) & $i(v6) & $i(v5) & $i(v4)
% 158.57/24.75 & m2_nattra_1(v4, v0, v5, v7, v8)) | (u2_cat_1(v0) = v3 & $i(v3) & ~
% 158.57/24.75 m1_subset_1(v1, v3)))) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~
% 158.57/24.75 (k3_cat_1(v0, v1) = v2) | ~ $i(v1) | ~ $i(v0) | ~ l1_cat_1(v0) | ~
% 158.57/24.75 v2_cat_1(v0) | ? [v3: $i] : ? [v4: $i] : ? [v5: $i] : ? [v6: $i] : ?
% 158.57/24.75 [v7: $i] : ? [v8: $i] : ((k3_yoneda_1(v0, v1) = v4 & k2_yoneda_1(v0, v7) =
% 158.57/24.75 v8 & k2_yoneda_1(v0, v2) = v6 & k1_yoneda_1(v0) = v5 & k2_cat_1(v0, v1)
% 158.57/24.75 = v7 & $i(v8) & $i(v7) & $i(v6) & $i(v5) & $i(v4) & m2_nattra_1(v4, v0,
% 158.57/24.75 v5, v6, v8)) | (u2_cat_1(v0) = v3 & $i(v3) & ~ m1_subset_1(v1, v3))))
% 158.57/24.75
% 158.57/24.75 (dt_m1_cat_1)
% 158.57/24.76 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ( ~
% 158.57/24.76 (u2_cat_1(v0) = v3) | ~ $i(v4) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~
% 158.57/24.76 m1_cat_1(v4, v0, v1, v2) | ~ l1_cat_1(v0) | m1_subset_1(v4, v3) | ? [v5:
% 158.57/24.76 $i] : (u1_cat_1(v0) = v5 & $i(v5) & ( ~ m1_subset_1(v2, v5) | ~
% 158.57/24.76 m1_subset_1(v1, v5)))) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : !
% 158.57/24.76 [v3: $i] : ( ~ (u1_cat_1(v0) = v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~
% 158.57/24.76 m1_subset_1(v2, v3) | ~ m1_subset_1(v1, v3) | ~ l1_cat_1(v0) | ? [v4: $i]
% 158.57/24.76 : (u2_cat_1(v0) = v4 & $i(v4) & ! [v5: $i] : ( ~ $i(v5) | ~ m1_cat_1(v5,
% 158.57/24.76 v0, v1, v2) | m1_subset_1(v5, v4))))
% 158.57/24.76
% 158.57/24.76 (dt_u3_cat_1)
% 158.57/24.76 ! [v0: $i] : ! [v1: $i] : ( ~ (u1_cat_1(v0) = v1) | ~ $i(v0) | ~
% 158.57/24.76 l1_cat_1(v0) | ? [v2: $i] : ? [v3: $i] : (u2_cat_1(v0) = v3 & u3_cat_1(v0)
% 158.57/24.76 = v2 & $i(v3) & $i(v2) & m2_relset_1(v2, v3, v1) & v1_funct_2(v2, v3, v1)
% 158.57/24.76 & v1_funct_1(v2))) & ! [v0: $i] : ! [v1: $i] : ( ~ (u2_cat_1(v0) = v1) |
% 158.57/24.76 ~ $i(v0) | ~ l1_cat_1(v0) | ? [v2: $i] : ? [v3: $i] : (u1_cat_1(v0) = v3
% 158.57/24.76 & u3_cat_1(v0) = v2 & $i(v3) & $i(v2) & m2_relset_1(v2, v1, v3) &
% 158.57/24.76 v1_funct_2(v2, v1, v3) & v1_funct_1(v2))) & ! [v0: $i] : ! [v1: $i] : (
% 158.57/24.76 ~ (u3_cat_1(v0) = v1) | ~ $i(v0) | ~ l1_cat_1(v0) | v1_funct_1(v1)) & !
% 158.57/24.76 [v0: $i] : ! [v1: $i] : ( ~ (u3_cat_1(v0) = v1) | ~ $i(v0) | ~ l1_cat_1(v0)
% 158.57/24.76 | ? [v2: $i] : ? [v3: $i] : (u1_cat_1(v0) = v3 & u2_cat_1(v0) = v2 &
% 158.57/24.76 $i(v3) & $i(v2) & m2_relset_1(v1, v2, v3) & v1_funct_2(v1, v2, v3)))
% 158.57/24.76
% 158.57/24.76 (dt_u4_cat_1)
% 158.57/24.76 ! [v0: $i] : ! [v1: $i] : ( ~ (u1_cat_1(v0) = v1) | ~ $i(v0) | ~
% 158.57/24.76 l1_cat_1(v0) | ? [v2: $i] : ? [v3: $i] : (u2_cat_1(v0) = v3 & u4_cat_1(v0)
% 158.57/24.76 = v2 & $i(v3) & $i(v2) & m2_relset_1(v2, v3, v1) & v1_funct_2(v2, v3, v1)
% 158.57/24.76 & v1_funct_1(v2))) & ! [v0: $i] : ! [v1: $i] : ( ~ (u2_cat_1(v0) = v1) |
% 158.57/24.76 ~ $i(v0) | ~ l1_cat_1(v0) | ? [v2: $i] : ? [v3: $i] : (u1_cat_1(v0) = v3
% 158.57/24.76 & u4_cat_1(v0) = v2 & $i(v3) & $i(v2) & m2_relset_1(v2, v1, v3) &
% 158.57/24.76 v1_funct_2(v2, v1, v3) & v1_funct_1(v2))) & ! [v0: $i] : ! [v1: $i] : (
% 158.57/24.76 ~ (u4_cat_1(v0) = v1) | ~ $i(v0) | ~ l1_cat_1(v0) | v1_funct_1(v1)) & !
% 158.57/24.76 [v0: $i] : ! [v1: $i] : ( ~ (u4_cat_1(v0) = v1) | ~ $i(v0) | ~ l1_cat_1(v0)
% 158.57/24.76 | ? [v2: $i] : ? [v3: $i] : (u1_cat_1(v0) = v3 & u2_cat_1(v0) = v2 &
% 158.57/24.76 $i(v3) & $i(v2) & m2_relset_1(v1, v2, v3) & v1_funct_2(v1, v2, v3)))
% 158.57/24.76
% 158.57/24.76 (dt_u6_cat_1)
% 158.57/24.76 ! [v0: $i] : ! [v1: $i] : ( ~ (u6_cat_1(v0) = v1) | ~ $i(v0) | ~
% 158.57/24.76 l1_cat_1(v0) | v1_funct_1(v1)) & ! [v0: $i] : ! [v1: $i] : ( ~
% 158.57/24.76 (u6_cat_1(v0) = v1) | ~ $i(v0) | ~ l1_cat_1(v0) | ? [v2: $i] : ? [v3:
% 158.57/24.76 $i] : (u1_cat_1(v0) = v2 & u2_cat_1(v0) = v3 & $i(v3) & $i(v2) &
% 158.57/24.76 m2_relset_1(v1, v2, v3) & v1_funct_2(v1, v2, v3))) & ! [v0: $i] : ! [v1:
% 158.57/24.76 $i] : ( ~ (u1_cat_1(v0) = v1) | ~ $i(v0) | ~ l1_cat_1(v0) | ? [v2: $i] :
% 158.57/24.76 ? [v3: $i] : (u6_cat_1(v0) = v2 & u2_cat_1(v0) = v3 & $i(v3) & $i(v2) &
% 158.57/24.76 m2_relset_1(v2, v1, v3) & v1_funct_2(v2, v1, v3) & v1_funct_1(v2))) & !
% 158.57/24.76 [v0: $i] : ! [v1: $i] : ( ~ (u2_cat_1(v0) = v1) | ~ $i(v0) | ~ l1_cat_1(v0)
% 158.57/24.76 | ? [v2: $i] : ? [v3: $i] : (u6_cat_1(v0) = v2 & u1_cat_1(v0) = v3 &
% 158.57/24.76 $i(v3) & $i(v2) & m2_relset_1(v2, v3, v1) & v1_funct_2(v2, v3, v1) &
% 158.57/24.76 v1_funct_1(v2)))
% 158.57/24.76
% 158.57/24.76 (t1_subset)
% 158.57/24.76 ! [v0: $i] : ! [v1: $i] : ( ~ $i(v1) | ~ $i(v0) | ~ r2_hidden(v0, v1) |
% 158.57/24.76 m1_subset_1(v0, v1))
% 158.57/24.76
% 158.57/24.76 (t3_yoneda_1)
% 158.57/24.76 ! [v0: $i] : ! [v1: $i] : ( ~ (k1_yoneda_1(v0) = v1) | ~ $i(v0) | ~
% 158.57/24.76 l1_cat_1(v0) | ~ v2_cat_1(v0) | ? [v2: $i] : (u2_cat_1(v0) = v2 & $i(v2) &
% 158.57/24.76 ! [v3: $i] : ! [v4: $i] : ( ~ (k2_cat_1(v0, v3) = v4) | ~ $i(v3) | ~
% 158.57/24.76 m1_subset_1(v3, v2) | ? [v5: $i] : ? [v6: $i] : ? [v7: $i] :
% 158.57/24.76 (k2_yoneda_1(v0, v5) = v6 & k2_yoneda_1(v0, v4) = v7 & k3_cat_1(v0, v3)
% 158.57/24.76 = v5 & $i(v7) & $i(v6) & $i(v5) & r2_nattra_1(v0, v1, v6, v7))) & !
% 158.57/24.76 [v3: $i] : ! [v4: $i] : ( ~ (k3_cat_1(v0, v3) = v4) | ~ $i(v3) | ~
% 158.57/24.76 m1_subset_1(v3, v2) | ? [v5: $i] : ? [v6: $i] : ? [v7: $i] :
% 158.57/24.76 (k2_yoneda_1(v0, v6) = v7 & k2_yoneda_1(v0, v4) = v5 & k2_cat_1(v0, v3)
% 158.57/24.76 = v6 & $i(v7) & $i(v6) & $i(v5) & r2_nattra_1(v0, v1, v5, v7))))) & !
% 158.57/24.76 [v0: $i] : ! [v1: $i] : ( ~ (u2_cat_1(v0) = v1) | ~ $i(v0) | ~ l1_cat_1(v0)
% 158.57/24.76 | ~ v2_cat_1(v0) | ? [v2: $i] : (k1_yoneda_1(v0) = v2 & $i(v2) & ! [v3:
% 158.57/24.76 $i] : ! [v4: $i] : ( ~ (k2_cat_1(v0, v3) = v4) | ~ $i(v3) | ~
% 158.57/24.76 m1_subset_1(v3, v1) | ? [v5: $i] : ? [v6: $i] : ? [v7: $i] :
% 158.57/24.76 (k2_yoneda_1(v0, v5) = v6 & k2_yoneda_1(v0, v4) = v7 & k3_cat_1(v0, v3)
% 158.57/24.76 = v5 & $i(v7) & $i(v6) & $i(v5) & r2_nattra_1(v0, v2, v6, v7))) & !
% 158.57/24.76 [v3: $i] : ! [v4: $i] : ( ~ (k3_cat_1(v0, v3) = v4) | ~ $i(v3) | ~
% 158.57/24.76 m1_subset_1(v3, v1) | ? [v5: $i] : ? [v6: $i] : ? [v7: $i] :
% 158.57/24.76 (k2_yoneda_1(v0, v6) = v7 & k2_yoneda_1(v0, v4) = v5 & k2_cat_1(v0, v3)
% 158.57/24.76 = v6 & $i(v7) & $i(v6) & $i(v5) & r2_nattra_1(v0, v2, v5, v7)))))
% 158.57/24.76
% 158.57/24.76 (t4_yoneda_1)
% 158.57/24.76 ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] : ? [v5:
% 158.57/24.76 $i] : ? [v6: $i] : ? [v7: $i] : ? [v8: $i] : ? [v9: $i] : ? [v10: $i] :
% 158.57/24.76 ? [v11: $i] : ? [v12: $i] : (k3_yoneda_1(v0, v5) = v11 & k2_yoneda_1(v0, v8)
% 158.57/24.76 = v9 & k2_yoneda_1(v0, v6) = v7 & k1_yoneda_1(v0) = v2 & k12_nattra_1(v0,
% 158.57/24.76 v2) = v3 & k2_cat_1(v0, v5) = v8 & k3_cat_1(v0, v5) = v6 & k4_tarski(v10,
% 158.57/24.76 v11) = v12 & k4_tarski(v7, v9) = v10 & u2_cat_1(v3) = v4 & u2_cat_1(v0) =
% 158.57/24.76 v1 & $i(v12) & $i(v11) & $i(v10) & $i(v9) & $i(v8) & $i(v7) & $i(v6) &
% 158.57/24.76 $i(v5) & $i(v4) & $i(v3) & $i(v2) & $i(v1) & $i(v0) & m1_subset_1(v5, v1) &
% 158.57/24.76 l1_cat_1(v0) & v2_cat_1(v0) & ~ m1_subset_1(v12, v4))
% 158.57/24.76
% 158.57/24.76 (function-axioms)
% 158.57/24.77 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5:
% 158.57/24.77 $i] : ! [v6: $i] : ! [v7: $i] : ! [v8: $i] : (v1 = v0 | ~
% 158.57/24.77 (k8_nattra_1(v8, v7, v6, v5, v4, v3, v2) = v1) | ~ (k8_nattra_1(v8, v7, v6,
% 158.57/24.77 v5, v4, v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : !
% 158.57/24.77 [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : ! [v7: $i] : (v1 = v0 |
% 158.57/24.77 ~ (g1_cat_1(v7, v6, v5, v4, v3, v2) = v1) | ~ (g1_cat_1(v7, v6, v5, v4, v3,
% 158.57/24.77 v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : !
% 158.57/24.77 [v4: $i] : ! [v5: $i] : (v1 = v0 | ~ (k13_cat_2(v5, v4, v3, v2) = v1) | ~
% 158.57/24.77 (k13_cat_2(v5, v4, v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i]
% 158.57/24.77 : ! [v3: $i] : ! [v4: $i] : (v1 = v0 | ~ (k4_nattra_1(v4, v3, v2) = v1) |
% 158.57/24.77 ~ (k4_nattra_1(v4, v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i]
% 158.57/24.77 : ! [v3: $i] : ! [v4: $i] : (v1 = v0 | ~ (k7_nattra_1(v4, v3, v2) = v1) |
% 158.57/24.77 ~ (k7_nattra_1(v4, v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i]
% 158.57/24.77 : ! [v3: $i] : (v1 = v0 | ~ (k5_cat_2(v3, v2) = v1) | ~ (k5_cat_2(v3, v2) =
% 158.57/24.77 v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 |
% 158.57/24.77 ~ (k5_cat_1(v3, v2) = v1) | ~ (k5_cat_1(v3, v2) = v0)) & ! [v0: $i] : !
% 158.57/24.77 [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ (k3_yoneda_1(v3, v2) =
% 158.57/24.77 v1) | ~ (k3_yoneda_1(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 158.57/24.77 $i] : ! [v3: $i] : (v1 = v0 | ~ (k11_cat_2(v3, v2) = v1) | ~
% 158.57/24.77 (k11_cat_2(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : !
% 158.57/24.77 [v3: $i] : (v1 = v0 | ~ (k20_ens_1(v3, v2) = v1) | ~ (k20_ens_1(v3, v2) =
% 158.57/24.77 v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 |
% 158.57/24.77 ~ (k2_yoneda_1(v3, v2) = v1) | ~ (k2_yoneda_1(v3, v2) = v0)) & ! [v0: $i]
% 158.57/24.77 : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ (k7_cat_2(v3, v2) =
% 158.57/24.77 v1) | ~ (k7_cat_2(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 158.57/24.77 $i] : ! [v3: $i] : (v1 = v0 | ~ (k12_nattra_1(v3, v2) = v1) | ~
% 158.57/24.77 (k12_nattra_1(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : !
% 158.57/24.77 [v3: $i] : (v1 = v0 | ~ (k10_cat_1(v3, v2) = v1) | ~ (k10_cat_1(v3, v2) =
% 158.57/24.77 v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 |
% 158.57/24.77 ~ (k1_funct_1(v3, v2) = v1) | ~ (k1_funct_1(v3, v2) = v0)) & ! [v0: $i] :
% 158.57/24.77 ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ (k2_cat_1(v3, v2) = v1)
% 158.57/24.77 | ~ (k2_cat_1(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : !
% 158.57/24.77 [v3: $i] : (v1 = v0 | ~ (k3_cat_1(v3, v2) = v1) | ~ (k3_cat_1(v3, v2) = v0))
% 158.57/24.77 & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 158.57/24.77 (k11_nattra_1(v3, v2) = v1) | ~ (k11_nattra_1(v3, v2) = v0)) & ! [v0: $i]
% 158.57/24.77 : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ (k4_tarski(v3, v2) =
% 158.57/24.77 v1) | ~ (k4_tarski(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 158.57/24.77 $i] : ! [v3: $i] : (v1 = v0 | ~ (k2_tarski(v3, v2) = v1) | ~
% 158.57/24.77 (k2_tarski(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : !
% 158.57/24.77 [v3: $i] : (v1 = v0 | ~ (k2_zfmisc_1(v3, v2) = v1) | ~ (k2_zfmisc_1(v3, v2)
% 158.57/24.77 = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~
% 158.57/24.77 (k2_ens_1(v2) = v1) | ~ (k2_ens_1(v2) = v0)) & ! [v0: $i] : ! [v1: $i] :
% 158.57/24.77 ! [v2: $i] : (v1 = v0 | ~ (k1_tarski(v2) = v1) | ~ (k1_tarski(v2) = v0)) &
% 158.57/24.77 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (k17_ens_1(v2) = v1) |
% 158.57/24.77 ~ (k17_ens_1(v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0
% 158.57/24.77 | ~ (k1_yoneda_1(v2) = v1) | ~ (k1_yoneda_1(v2) = v0)) & ! [v0: $i] : !
% 158.57/24.77 [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (k12_ens_1(v2) = v1) | ~
% 158.57/24.77 (k12_ens_1(v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 |
% 158.57/24.77 ~ (k1_relat_1(v2) = v1) | ~ (k1_relat_1(v2) = v0)) & ! [v0: $i] : ! [v1:
% 158.57/24.77 $i] : ! [v2: $i] : (v1 = v0 | ~ (k1_mcart_1(v2) = v1) | ~ (k1_mcart_1(v2)
% 158.57/24.77 = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~
% 158.57/24.77 (k2_mcart_1(v2) = v1) | ~ (k2_mcart_1(v2) = v0)) & ! [v0: $i] : ! [v1:
% 158.57/24.77 $i] : ! [v2: $i] : (v1 = v0 | ~ (k1_zfmisc_1(v2) = v1) | ~
% 158.57/24.77 (k1_zfmisc_1(v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0
% 158.57/24.77 | ~ (u6_cat_1(v2) = v1) | ~ (u6_cat_1(v2) = v0)) & ! [v0: $i] : ! [v1:
% 158.57/24.77 $i] : ! [v2: $i] : (v1 = v0 | ~ (u1_cat_1(v2) = v1) | ~ (u1_cat_1(v2) =
% 158.57/24.77 v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~
% 158.57/24.77 (u2_cat_1(v2) = v1) | ~ (u2_cat_1(v2) = v0)) & ! [v0: $i] : ! [v1: $i] :
% 158.57/24.77 ! [v2: $i] : (v1 = v0 | ~ (u3_cat_1(v2) = v1) | ~ (u3_cat_1(v2) = v0)) & !
% 158.57/24.77 [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (u4_cat_1(v2) = v1) | ~
% 158.57/24.77 (u4_cat_1(v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 |
% 158.57/24.77 ~ (u5_cat_1(v2) = v1) | ~ (u5_cat_1(v2) = v0))
% 158.57/24.77
% 158.57/24.77 Further assumptions not needed in the proof:
% 158.57/24.77 --------------------------------------------
% 158.57/24.77 abstractness_v1_cat_1, antisymmetry_r2_hidden, cc1_funct_1, cc1_relset_1,
% 158.57/24.77 cc2_funct_1, d1_yoneda_1, dt_g1_cat_1, dt_k10_cat_1, dt_k11_cat_2, dt_k12_ens_1,
% 158.57/24.77 dt_k13_cat_2, dt_k17_ens_1, dt_k1_funct_1, dt_k1_mcart_1, dt_k1_relat_1,
% 158.57/24.77 dt_k1_tarski, dt_k1_xboole_0, dt_k1_zfmisc_1, dt_k20_ens_1, dt_k2_ens_1,
% 158.57/24.77 dt_k2_mcart_1, dt_k2_tarski, dt_k2_zfmisc_1, dt_k4_nattra_1, dt_k4_tarski,
% 158.57/24.77 dt_k5_cat_1, dt_k5_cat_2, dt_k7_cat_2, dt_k7_nattra_1, dt_k8_nattra_1,
% 158.57/24.77 dt_l1_cat_1, dt_m1_cat_2, dt_m1_nattra_1, dt_m1_relset_1, dt_m1_subset_1,
% 158.57/24.77 dt_m2_cat_1, dt_m2_nattra_1, dt_m2_relset_1, dt_m4_nattra_1, dt_u1_cat_1,
% 158.57/24.77 dt_u2_cat_1, dt_u5_cat_1, existence_l1_cat_1, existence_m1_cat_1,
% 158.57/24.77 existence_m1_cat_2, existence_m1_nattra_1, existence_m1_relset_1,
% 158.57/24.77 existence_m1_subset_1, existence_m2_cat_1, existence_m2_nattra_1,
% 158.57/24.77 existence_m2_relset_1, existence_m4_nattra_1, fc1_xboole_0, fc2_ens_1,
% 158.57/24.77 fc3_ens_1, fc4_ens_1, fc5_ens_1, free_g1_cat_1, rc1_funct_1, rc1_xboole_0,
% 158.57/24.77 rc2_funct_1, rc2_xboole_0, rc3_funct_1, redefinition_k10_cat_1,
% 158.57/24.77 redefinition_k13_cat_2, redefinition_k7_cat_2, redefinition_k7_nattra_1,
% 158.57/24.77 redefinition_m2_relset_1, reflexivity_r1_tarski, reflexivity_r2_nattra_1,
% 158.57/24.77 t2_subset, t3_subset, t4_subset, t5_subset, t6_boole, t7_boole, t8_boole
% 158.57/24.77
% 158.57/24.77 Those formulas are unsatisfiable:
% 158.57/24.77 ---------------------------------
% 158.57/24.77
% 158.57/24.77 Begin of proof
% 158.57/24.77 |
% 158.57/24.77 | ALPHA: (commutativity_k2_tarski) implies:
% 158.57/24.77 | (1) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ (k2_tarski(v1, v0) = v2)
% 158.57/24.77 | | ~ $i(v1) | ~ $i(v0) | (k2_tarski(v0, v1) = v2 & $i(v2)))
% 158.57/24.77 |
% 158.57/24.77 | ALPHA: (d16_nattra_1) implies:
% 158.57/24.77 | (2) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] :
% 158.57/24.77 | ! [v5: $i] : ! [v6: $i] : ! [v7: $i] : ( ~ (k11_nattra_1(v0, v1) =
% 158.57/24.77 | v2) | ~ (k4_tarski(v6, v7) = v3) | ~ (k4_tarski(v4, v5) = v6) |
% 158.57/24.77 | ~ $i(v7) | ~ $i(v5) | ~ $i(v4) | ~ $i(v3) | ~ $i(v2) | ~ $i(v1)
% 158.57/24.77 | | ~ $i(v0) | ~ r2_nattra_1(v0, v1, v4, v5) | ~ m2_nattra_1(v7, v0,
% 158.57/24.77 | v1, v4, v5) | ~ m2_cat_1(v5, v0, v1) | ~ m2_cat_1(v4, v0, v1) |
% 158.57/24.77 | ~ m4_nattra_1(v2, v0, v1) | ~ l1_cat_1(v1) | ~ l1_cat_1(v0) | ~
% 158.57/24.77 | v2_cat_1(v1) | ~ v2_cat_1(v0) | r2_hidden(v3, v2))
% 158.57/24.77 |
% 158.57/24.77 | ALPHA: (d18_nattra_1) implies:
% 158.57/24.78 | (3) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ (k12_nattra_1(v0, v1) =
% 158.57/24.78 | v2) | ~ $i(v1) | ~ $i(v0) | ~ l1_cat_1(v1) | ~ l1_cat_1(v0) |
% 158.57/24.78 | ~ v2_cat_1(v1) | ~ v2_cat_1(v0) | ? [v3: $i] : ? [v4: $i] :
% 158.57/24.78 | (k7_cat_2(v0, v1) = v3 & k11_nattra_1(v0, v1) = v4 & $i(v4) & $i(v3)
% 158.57/24.78 | & ! [v5: $i] : ! [v6: $i] : ( ~ (u1_cat_1(v5) = v6) | ~ $i(v5) |
% 158.57/24.78 | ~ v1_cat_1(v5) | ~ l1_cat_1(v5) | ~ v2_cat_1(v5) | ? [v7: $i]
% 158.57/24.78 | : ? [v8: $i] : ? [v9: $i] : ? [v10: $i] : ? [v11: $i] : ?
% 158.57/24.78 | [v12: $i] : ? [v13: $i] : ? [v14: $i] : ? [v15: $i] : ? [v16:
% 158.57/24.78 | $i] : ? [v17: $i] : ? [v18: $i] : ? [v19: $i] : ? [v20: $i]
% 158.57/24.78 | : ? [v21: $i] : ? [v22: $i] : ? [v23: $i] : ? [v24: $i] : ?
% 158.57/24.79 | [v25: $i] : ? [v26: $i] : ? [v27: $i] : ? [v28: $i] : ? [v29:
% 158.57/24.79 | $i] : ? [v30: $i] : ($i(v25) & $i(v22) & $i(v20) & $i(v17) &
% 158.57/24.79 | $i(v16) & $i(v12) & $i(v10) & ( ~ (v6 = v3) | v5 = v2 | (v23 =
% 158.57/24.79 | v21 & k1_relat_1(v8) = v9 & k13_cat_2(v5, v5, v22, v20) =
% 158.57/24.79 | v24 & k2_cat_1(v5, v22) = v21 & k3_cat_1(v5, v20) = v21 &
% 158.57/24.79 | u2_cat_1(v5) = v7 & u5_cat_1(v5) = v8 & $i(v24) & $i(v21) &
% 158.57/24.79 | $i(v9) & $i(v8) & $i(v7) & m1_subset_1(v22, v7) &
% 158.57/24.79 | m1_subset_1(v20, v7) & ~ r2_hidden(v24, v9)) | (v12 = v10
% 158.57/24.79 | & ~ (v15 = v11) & k10_cat_1(v5, v10) = v11 &
% 158.57/24.79 | k7_nattra_1(v0, v1, v10) = v14 & k4_tarski(v13, v14) = v15
% 158.57/24.79 | & k4_tarski(v10, v10) = v13 & $i(v15) & $i(v14) & $i(v13) &
% 158.57/24.79 | $i(v11) & m2_cat_1(v10, v0, v1) & m1_subset_1(v10, v3)) | (
% 158.57/24.79 | ~ (v7 = v4) & u2_cat_1(v5) = v7 & $i(v7)) | (k1_relat_1(v8)
% 158.57/24.79 | = v9 & k1_funct_1(v8, v18) = v19 & k13_cat_2(v5, v5, v17,
% 158.57/24.79 | v16) = v18 & u2_cat_1(v5) = v7 & u5_cat_1(v5) = v8 &
% 158.57/24.79 | $i(v19) & $i(v18) & $i(v9) & $i(v8) & $i(v7) &
% 158.57/24.79 | r2_hidden(v18, v9) & m1_subset_1(v17, v7) &
% 158.57/24.79 | m1_subset_1(v16, v7) & ! [v31: $i] : ! [v32: $i] : !
% 158.57/24.79 | [v33: $i] : ! [v34: $i] : ! [v35: $i] : ( ~
% 158.57/24.79 | (k4_tarski(v32, v34) = v35) | ~ (k4_tarski(v31, v32) =
% 158.57/24.79 | v33) | ~ $i(v34) | ~ $i(v32) | ~ $i(v31) | ~
% 158.57/24.79 | m2_cat_1(v34, v0, v1) | ~ m2_cat_1(v32, v0, v1) | ~
% 158.57/24.79 | m2_cat_1(v31, v0, v1) | ? [v36: $i] : (k4_tarski(v31,
% 158.57/24.79 | v34) = v36 & $i(v36) & ! [v37: $i] : ! [v38: $i] :
% 158.57/24.79 | ! [v39: $i] : ( ~ (k8_nattra_1(v0, v1, v31, v32, v34,
% 158.57/24.79 | v37, v38) = v39) | ~ (k4_tarski(v33, v37) = v16)
% 158.57/24.79 | | ~ $i(v38) | ~ $i(v37) | ~ m2_nattra_1(v38, v0,
% 158.57/24.79 | v1, v32, v34) | ~ m2_nattra_1(v37, v0, v1, v31,
% 158.57/24.79 | v32) | ? [v40: $i] : ? [v41: $i] : (( ~ (v41 =
% 158.57/24.79 | v19) & k4_tarski(v36, v39) = v41 & $i(v41)) | (
% 158.57/24.79 | ~ (v40 = v17) & k4_tarski(v35, v38) = v40 &
% 158.57/24.79 | $i(v40)))) & ! [v37: $i] : ! [v38: $i] : ( ~
% 158.57/24.79 | (k4_tarski(v35, v38) = v17) | ~ (k4_tarski(v33, v37)
% 158.57/24.79 | = v16) | ~ $i(v38) | ~ $i(v37) | ~
% 158.57/24.79 | m2_nattra_1(v38, v0, v1, v32, v34) | ~
% 158.57/24.79 | m2_nattra_1(v37, v0, v1, v31, v32) | ? [v39: $i] :
% 158.57/24.79 | ? [v40: $i] : ( ~ (v40 = v19) & k8_nattra_1(v0, v1,
% 158.57/24.79 | v31, v32, v34, v37, v38) = v39 & k4_tarski(v36,
% 158.57/24.79 | v39) = v40 & $i(v40) & $i(v39))))) & ! [v31: $i]
% 158.57/24.79 | : ! [v32: $i] : ! [v33: $i] : ! [v34: $i] : ! [v35: $i]
% 158.57/24.79 | : ( ~ (k4_tarski(v31, v34) = v35) | ~ (k4_tarski(v31, v32)
% 158.57/24.79 | = v33) | ~ $i(v34) | ~ $i(v32) | ~ $i(v31) | ~
% 158.57/24.79 | m2_cat_1(v34, v0, v1) | ~ m2_cat_1(v32, v0, v1) | ~
% 158.57/24.79 | m2_cat_1(v31, v0, v1) | ? [v36: $i] : (k4_tarski(v32,
% 158.57/24.79 | v34) = v36 & $i(v36) & ! [v37: $i] : ! [v38: $i] :
% 158.57/24.79 | ! [v39: $i] : ( ~ (k8_nattra_1(v0, v1, v31, v32, v34,
% 158.57/24.79 | v37, v38) = v39) | ~ (k4_tarski(v33, v37) = v16)
% 158.57/24.79 | | ~ $i(v38) | ~ $i(v37) | ~ m2_nattra_1(v38, v0,
% 158.57/24.79 | v1, v32, v34) | ~ m2_nattra_1(v37, v0, v1, v31,
% 158.57/24.79 | v32) | ? [v40: $i] : ? [v41: $i] : (( ~ (v41 =
% 158.57/24.79 | v19) & k4_tarski(v35, v39) = v41 & $i(v41)) | (
% 158.57/24.79 | ~ (v40 = v17) & k4_tarski(v36, v38) = v40 &
% 158.57/24.79 | $i(v40)))) & ! [v37: $i] : ! [v38: $i] : ( ~
% 158.57/24.79 | (k4_tarski(v36, v38) = v17) | ~ (k4_tarski(v33, v37)
% 158.57/24.79 | = v16) | ~ $i(v38) | ~ $i(v37) | ~
% 158.57/24.79 | m2_nattra_1(v38, v0, v1, v32, v34) | ~
% 158.57/24.79 | m2_nattra_1(v37, v0, v1, v31, v32) | ? [v39: $i] :
% 158.57/24.79 | ? [v40: $i] : ( ~ (v40 = v19) & k8_nattra_1(v0, v1,
% 158.57/24.79 | v31, v32, v34, v37, v38) = v39 & k4_tarski(v35,
% 158.57/24.79 | v39) = v40 & $i(v40) & $i(v39)))))) |
% 158.57/24.79 | (k1_mcart_1(v25) = v27 & u2_cat_1(v5) = v7 & $i(v27) & $i(v7)
% 158.57/24.79 | & m1_subset_1(v25, v7) & (( ~ (v30 = v29) & k3_cat_1(v5,
% 158.57/24.79 | v25) = v29 & k2_mcart_1(v27) = v30 & $i(v30) &
% 158.57/24.79 | $i(v29)) | ( ~ (v28 = v26) & k2_cat_1(v5, v25) = v26 &
% 158.57/24.79 | k1_mcart_1(v27) = v28 & $i(v28) & $i(v26))))) & ( ~ (v5
% 158.57/24.79 | = v2) | (v7 = v4 & v6 = v3 & k1_relat_1(v8) = v9 &
% 158.57/24.79 | u2_cat_1(v2) = v4 & u5_cat_1(v2) = v8 & $i(v9) & $i(v8) &
% 158.57/24.79 | ! [v31: $i] : ! [v32: $i] : ! [v33: $i] : ! [v34: $i] :
% 158.57/24.79 | ( ~ (k13_cat_2(v2, v2, v33, v31) = v34) | ~ (k3_cat_1(v2,
% 158.57/24.79 | v31) = v32) | ~ $i(v33) | ~ $i(v31) | ~
% 158.57/24.79 | m1_subset_1(v33, v4) | ~ m1_subset_1(v31, v4) |
% 158.57/24.79 | r2_hidden(v34, v9) | ? [v35: $i] : ( ~ (v35 = v32) &
% 158.57/24.79 | k2_cat_1(v2, v33) = v35 & $i(v35))) & ! [v31: $i] : !
% 158.57/24.79 | [v32: $i] : ! [v33: $i] : ( ~ (k10_cat_1(v2, v31) = v32) |
% 158.57/24.79 | ~ (k7_nattra_1(v0, v1, v31) = v33) | ~ $i(v31) | ~
% 158.57/24.79 | m2_cat_1(v31, v0, v1) | ~ m1_subset_1(v31, v3) | ?
% 158.57/24.79 | [v34: $i] : (k4_tarski(v34, v33) = v32 & k4_tarski(v31,
% 158.57/24.79 | v31) = v34 & $i(v34) & $i(v32))) & ! [v31: $i] : !
% 158.57/24.79 | [v32: $i] : ! [v33: $i] : ( ~ (k10_cat_1(v2, v31) = v32) |
% 158.57/24.79 | ~ (k4_tarski(v31, v31) = v33) | ~ $i(v31) | ~
% 158.57/24.79 | m2_cat_1(v31, v0, v1) | ~ m1_subset_1(v31, v3) | ?
% 158.57/24.79 | [v34: $i] : (k7_nattra_1(v0, v1, v31) = v34 &
% 158.57/24.79 | k4_tarski(v33, v34) = v32 & $i(v34) & $i(v32))) & !
% 158.57/24.79 | [v31: $i] : ! [v32: $i] : ! [v33: $i] : ( ~
% 158.57/24.79 | (k13_cat_2(v2, v2, v32, v31) = v33) | ~ $i(v32) | ~
% 158.57/24.79 | $i(v31) | ~ r2_hidden(v33, v9) | ~ m1_subset_1(v32, v4)
% 158.57/24.79 | | ~ m1_subset_1(v31, v4) | ? [v34: $i] : ? [v35: $i] :
% 158.57/24.79 | ? [v36: $i] : ? [v37: $i] : ? [v38: $i] : ? [v39: $i]
% 158.57/24.79 | : ? [v40: $i] : ? [v41: $i] : ? [v42: $i] : ? [v43:
% 158.57/24.79 | $i] : (k1_funct_1(v8, v33) = v34 & k8_nattra_1(v0, v1,
% 158.57/24.79 | v35, v36, v38, v41, v42) = v43 & k4_tarski(v40, v43)
% 158.57/24.79 | = v34 & k4_tarski(v39, v42) = v32 & k4_tarski(v37, v41)
% 158.57/24.79 | = v31 & k4_tarski(v36, v38) = v39 & k4_tarski(v35, v38)
% 158.57/24.79 | = v40 & k4_tarski(v35, v36) = v37 & $i(v43) & $i(v42) &
% 158.57/24.79 | $i(v41) & $i(v40) & $i(v39) & $i(v38) & $i(v37) &
% 158.57/24.79 | $i(v36) & $i(v35) & $i(v34) & m2_nattra_1(v42, v0, v1,
% 158.57/24.79 | v36, v38) & m2_nattra_1(v41, v0, v1, v35, v36) &
% 158.57/24.79 | m2_cat_1(v38, v0, v1) & m2_cat_1(v36, v0, v1) &
% 158.57/24.79 | m2_cat_1(v35, v0, v1))) & ! [v31: $i] : ! [v32: $i] :
% 158.57/24.79 | ! [v33: $i] : ( ~ (k2_cat_1(v2, v33) = v32) | ~
% 158.57/24.79 | (k3_cat_1(v2, v31) = v32) | ~ $i(v33) | ~ $i(v31) | ~
% 158.57/24.79 | m1_subset_1(v33, v4) | ~ m1_subset_1(v31, v4) | ? [v34:
% 158.57/24.79 | $i] : (k13_cat_2(v2, v2, v33, v31) = v34 & $i(v34) &
% 158.57/24.79 | r2_hidden(v34, v9))) & ! [v31: $i] : ! [v32: $i] : (
% 158.57/24.79 | ~ (k2_cat_1(v2, v31) = v32) | ~ $i(v31) | ~
% 158.57/24.79 | m1_subset_1(v31, v4) | ? [v33: $i] : ? [v34: $i] :
% 158.57/24.79 | (k1_mcart_1(v33) = v32 & k1_mcart_1(v31) = v33 &
% 158.57/24.79 | k3_cat_1(v2, v31) = v34 & k2_mcart_1(v33) = v34 &
% 158.57/24.79 | $i(v34) & $i(v33) & $i(v32))) & ! [v31: $i] : ! [v32:
% 158.57/24.79 | $i] : ( ~ (k1_mcart_1(v31) = v32) | ~ $i(v31) | ~
% 158.57/24.79 | m1_subset_1(v31, v4) | ? [v33: $i] : ? [v34: $i] :
% 158.57/24.79 | (k2_cat_1(v2, v31) = v33 & k1_mcart_1(v32) = v33 &
% 158.57/24.79 | k3_cat_1(v2, v31) = v34 & k2_mcart_1(v32) = v34 &
% 158.57/24.79 | $i(v34) & $i(v33))) & ! [v31: $i] : ! [v32: $i] : ( ~
% 158.57/24.79 | (k3_cat_1(v2, v31) = v32) | ~ $i(v31) | ~
% 158.57/24.79 | m1_subset_1(v31, v4) | ? [v33: $i] : ? [v34: $i] :
% 158.57/24.79 | (k2_cat_1(v2, v31) = v33 & k1_mcart_1(v34) = v33 &
% 158.57/24.79 | k1_mcart_1(v31) = v34 & k2_mcart_1(v34) = v32 & $i(v34)
% 158.57/24.79 | & $i(v33) & $i(v32))))))) & ! [v5: $i] : ! [v6: $i] :
% 158.57/24.79 | ( ~ (u2_cat_1(v5) = v6) | ~ $i(v5) | ~ v1_cat_1(v5) | ~
% 158.57/24.79 | l1_cat_1(v5) | ~ v2_cat_1(v5) | ? [v7: $i] : ? [v8: $i] : ?
% 158.57/24.79 | [v9: $i] : ? [v10: $i] : ? [v11: $i] : ? [v12: $i] : ? [v13:
% 158.57/24.79 | $i] : ? [v14: $i] : ? [v15: $i] : ? [v16: $i] : ? [v17: $i]
% 158.57/24.79 | : ? [v18: $i] : ? [v19: $i] : ? [v20: $i] : ? [v21: $i] : ?
% 158.57/24.79 | [v22: $i] : ? [v23: $i] : ? [v24: $i] : ? [v25: $i] : ? [v26:
% 158.57/24.79 | $i] : ? [v27: $i] : ? [v28: $i] : ? [v29: $i] : ? [v30: $i]
% 158.57/24.79 | : ($i(v25) & $i(v22) & $i(v20) & $i(v17) & $i(v16) & $i(v12) &
% 158.57/24.79 | $i(v10) & ( ~ (v6 = v4) | v5 = v2 | (v23 = v21 & k1_relat_1(v8)
% 158.57/24.79 | = v9 & k13_cat_2(v5, v5, v22, v20) = v24 & k2_cat_1(v5,
% 158.57/24.79 | v22) = v21 & k3_cat_1(v5, v20) = v21 & u5_cat_1(v5) = v8
% 158.57/24.79 | & $i(v24) & $i(v21) & $i(v9) & $i(v8) & m1_subset_1(v22,
% 158.57/24.79 | v4) & m1_subset_1(v20, v4) & ~ r2_hidden(v24, v9)) |
% 158.57/24.79 | (v12 = v10 & ~ (v15 = v11) & k10_cat_1(v5, v10) = v11 &
% 158.57/24.79 | k7_nattra_1(v0, v1, v10) = v14 & k4_tarski(v13, v14) = v15
% 158.57/24.79 | & k4_tarski(v10, v10) = v13 & u1_cat_1(v5) = v7 & $i(v15) &
% 158.57/24.79 | $i(v14) & $i(v13) & $i(v11) & $i(v7) & m2_cat_1(v10, v0,
% 158.57/24.79 | v1) & m1_subset_1(v10, v7)) | ( ~ (v7 = v3) &
% 158.57/24.79 | u1_cat_1(v5) = v7 & $i(v7)) | (k1_relat_1(v8) = v9 &
% 158.57/24.79 | k1_funct_1(v8, v18) = v19 & k13_cat_2(v5, v5, v17, v16) =
% 158.57/24.79 | v18 & u5_cat_1(v5) = v8 & $i(v19) & $i(v18) & $i(v9) &
% 158.57/24.79 | $i(v8) & r2_hidden(v18, v9) & m1_subset_1(v17, v4) &
% 158.57/24.79 | m1_subset_1(v16, v4) & ! [v31: $i] : ! [v32: $i] : !
% 158.57/24.79 | [v33: $i] : ! [v34: $i] : ! [v35: $i] : ( ~
% 158.57/24.79 | (k4_tarski(v32, v34) = v35) | ~ (k4_tarski(v31, v32) =
% 158.57/24.79 | v33) | ~ $i(v34) | ~ $i(v32) | ~ $i(v31) | ~
% 158.57/24.79 | m2_cat_1(v34, v0, v1) | ~ m2_cat_1(v32, v0, v1) | ~
% 158.57/24.79 | m2_cat_1(v31, v0, v1) | ? [v36: $i] : (k4_tarski(v31,
% 158.57/24.79 | v34) = v36 & $i(v36) & ! [v37: $i] : ! [v38: $i] :
% 158.57/24.79 | ! [v39: $i] : ( ~ (k8_nattra_1(v0, v1, v31, v32, v34,
% 158.57/24.79 | v37, v38) = v39) | ~ (k4_tarski(v33, v37) = v16)
% 158.57/24.79 | | ~ $i(v38) | ~ $i(v37) | ~ m2_nattra_1(v38, v0,
% 158.57/24.79 | v1, v32, v34) | ~ m2_nattra_1(v37, v0, v1, v31,
% 158.57/24.79 | v32) | ? [v40: $i] : ? [v41: $i] : (( ~ (v41 =
% 158.57/24.79 | v19) & k4_tarski(v36, v39) = v41 & $i(v41)) | (
% 158.57/24.79 | ~ (v40 = v17) & k4_tarski(v35, v38) = v40 &
% 158.57/24.79 | $i(v40)))) & ! [v37: $i] : ! [v38: $i] : ( ~
% 158.57/24.79 | (k4_tarski(v35, v38) = v17) | ~ (k4_tarski(v33, v37)
% 158.57/24.79 | = v16) | ~ $i(v38) | ~ $i(v37) | ~
% 158.57/24.79 | m2_nattra_1(v38, v0, v1, v32, v34) | ~
% 158.57/24.79 | m2_nattra_1(v37, v0, v1, v31, v32) | ? [v39: $i] :
% 158.57/24.79 | ? [v40: $i] : ( ~ (v40 = v19) & k8_nattra_1(v0, v1,
% 158.57/24.79 | v31, v32, v34, v37, v38) = v39 & k4_tarski(v36,
% 158.57/24.79 | v39) = v40 & $i(v40) & $i(v39))))) & ! [v31: $i]
% 158.57/24.79 | : ! [v32: $i] : ! [v33: $i] : ! [v34: $i] : ! [v35: $i]
% 158.57/24.79 | : ( ~ (k4_tarski(v31, v34) = v35) | ~ (k4_tarski(v31, v32)
% 158.57/24.79 | = v33) | ~ $i(v34) | ~ $i(v32) | ~ $i(v31) | ~
% 158.57/24.79 | m2_cat_1(v34, v0, v1) | ~ m2_cat_1(v32, v0, v1) | ~
% 158.57/24.79 | m2_cat_1(v31, v0, v1) | ? [v36: $i] : (k4_tarski(v32,
% 158.57/24.79 | v34) = v36 & $i(v36) & ! [v37: $i] : ! [v38: $i] :
% 158.57/24.79 | ! [v39: $i] : ( ~ (k8_nattra_1(v0, v1, v31, v32, v34,
% 158.57/24.79 | v37, v38) = v39) | ~ (k4_tarski(v33, v37) = v16)
% 158.57/24.79 | | ~ $i(v38) | ~ $i(v37) | ~ m2_nattra_1(v38, v0,
% 158.57/24.79 | v1, v32, v34) | ~ m2_nattra_1(v37, v0, v1, v31,
% 158.57/24.79 | v32) | ? [v40: $i] : ? [v41: $i] : (( ~ (v41 =
% 158.57/24.79 | v19) & k4_tarski(v35, v39) = v41 & $i(v41)) | (
% 158.57/24.79 | ~ (v40 = v17) & k4_tarski(v36, v38) = v40 &
% 158.57/24.79 | $i(v40)))) & ! [v37: $i] : ! [v38: $i] : ( ~
% 158.57/24.79 | (k4_tarski(v36, v38) = v17) | ~ (k4_tarski(v33, v37)
% 158.57/24.79 | = v16) | ~ $i(v38) | ~ $i(v37) | ~
% 158.57/24.79 | m2_nattra_1(v38, v0, v1, v32, v34) | ~
% 158.57/24.79 | m2_nattra_1(v37, v0, v1, v31, v32) | ? [v39: $i] :
% 158.57/24.79 | ? [v40: $i] : ( ~ (v40 = v19) & k8_nattra_1(v0, v1,
% 158.57/24.79 | v31, v32, v34, v37, v38) = v39 & k4_tarski(v35,
% 158.57/24.79 | v39) = v40 & $i(v40) & $i(v39)))))) |
% 158.57/24.79 | (k1_mcart_1(v25) = v27 & $i(v27) & m1_subset_1(v25, v4) & ((
% 158.57/24.79 | ~ (v30 = v29) & k3_cat_1(v5, v25) = v29 &
% 158.57/24.79 | k2_mcart_1(v27) = v30 & $i(v30) & $i(v29)) | ( ~ (v28 =
% 158.57/24.79 | v26) & k2_cat_1(v5, v25) = v26 & k1_mcart_1(v27) =
% 158.57/24.79 | v28 & $i(v28) & $i(v26))))) & ( ~ (v5 = v2) | (v7 = v3
% 158.57/24.79 | & v6 = v4 & k1_relat_1(v8) = v9 & u1_cat_1(v2) = v3 &
% 158.57/24.79 | u5_cat_1(v2) = v8 & $i(v9) & $i(v8) & ! [v31: $i] : !
% 158.57/24.79 | [v32: $i] : ! [v33: $i] : ! [v34: $i] : ( ~
% 158.57/24.79 | (k13_cat_2(v2, v2, v33, v31) = v34) | ~ (k3_cat_1(v2,
% 158.57/24.79 | v31) = v32) | ~ $i(v33) | ~ $i(v31) | ~
% 158.57/24.79 | m1_subset_1(v33, v4) | ~ m1_subset_1(v31, v4) |
% 158.57/24.79 | r2_hidden(v34, v9) | ? [v35: $i] : ( ~ (v35 = v32) &
% 158.57/24.79 | k2_cat_1(v2, v33) = v35 & $i(v35))) & ! [v31: $i] : !
% 158.57/24.79 | [v32: $i] : ! [v33: $i] : ( ~ (k10_cat_1(v2, v31) = v32) |
% 158.57/24.79 | ~ (k7_nattra_1(v0, v1, v31) = v33) | ~ $i(v31) | ~
% 158.57/24.79 | m2_cat_1(v31, v0, v1) | ~ m1_subset_1(v31, v3) | ?
% 158.57/24.79 | [v34: $i] : (k4_tarski(v34, v33) = v32 & k4_tarski(v31,
% 158.57/24.79 | v31) = v34 & $i(v34) & $i(v32))) & ! [v31: $i] : !
% 158.57/24.79 | [v32: $i] : ! [v33: $i] : ( ~ (k10_cat_1(v2, v31) = v32) |
% 158.57/24.79 | ~ (k4_tarski(v31, v31) = v33) | ~ $i(v31) | ~
% 158.57/24.79 | m2_cat_1(v31, v0, v1) | ~ m1_subset_1(v31, v3) | ?
% 158.57/24.79 | [v34: $i] : (k7_nattra_1(v0, v1, v31) = v34 &
% 158.57/24.79 | k4_tarski(v33, v34) = v32 & $i(v34) & $i(v32))) & !
% 158.57/24.79 | [v31: $i] : ! [v32: $i] : ! [v33: $i] : ( ~
% 158.57/24.79 | (k13_cat_2(v2, v2, v32, v31) = v33) | ~ $i(v32) | ~
% 158.57/24.79 | $i(v31) | ~ r2_hidden(v33, v9) | ~ m1_subset_1(v32, v4)
% 158.57/24.79 | | ~ m1_subset_1(v31, v4) | ? [v34: $i] : ? [v35: $i] :
% 158.57/24.79 | ? [v36: $i] : ? [v37: $i] : ? [v38: $i] : ? [v39: $i]
% 158.57/24.79 | : ? [v40: $i] : ? [v41: $i] : ? [v42: $i] : ? [v43:
% 158.57/24.79 | $i] : (k1_funct_1(v8, v33) = v34 & k8_nattra_1(v0, v1,
% 158.57/24.79 | v35, v36, v38, v41, v42) = v43 & k4_tarski(v40, v43)
% 158.57/24.79 | = v34 & k4_tarski(v39, v42) = v32 & k4_tarski(v37, v41)
% 158.57/24.79 | = v31 & k4_tarski(v36, v38) = v39 & k4_tarski(v35, v38)
% 158.57/24.79 | = v40 & k4_tarski(v35, v36) = v37 & $i(v43) & $i(v42) &
% 158.57/24.79 | $i(v41) & $i(v40) & $i(v39) & $i(v38) & $i(v37) &
% 158.57/24.79 | $i(v36) & $i(v35) & $i(v34) & m2_nattra_1(v42, v0, v1,
% 158.57/24.79 | v36, v38) & m2_nattra_1(v41, v0, v1, v35, v36) &
% 158.57/24.79 | m2_cat_1(v38, v0, v1) & m2_cat_1(v36, v0, v1) &
% 158.57/24.79 | m2_cat_1(v35, v0, v1))) & ! [v31: $i] : ! [v32: $i] :
% 158.57/24.79 | ! [v33: $i] : ( ~ (k2_cat_1(v2, v33) = v32) | ~
% 158.57/24.79 | (k3_cat_1(v2, v31) = v32) | ~ $i(v33) | ~ $i(v31) | ~
% 158.57/24.79 | m1_subset_1(v33, v4) | ~ m1_subset_1(v31, v4) | ? [v34:
% 158.57/24.79 | $i] : (k13_cat_2(v2, v2, v33, v31) = v34 & $i(v34) &
% 158.57/24.79 | r2_hidden(v34, v9))) & ! [v31: $i] : ! [v32: $i] : (
% 158.57/24.79 | ~ (k2_cat_1(v2, v31) = v32) | ~ $i(v31) | ~
% 158.57/24.79 | m1_subset_1(v31, v4) | ? [v33: $i] : ? [v34: $i] :
% 158.57/24.79 | (k1_mcart_1(v33) = v32 & k1_mcart_1(v31) = v33 &
% 158.57/24.79 | k3_cat_1(v2, v31) = v34 & k2_mcart_1(v33) = v34 &
% 158.57/24.79 | $i(v34) & $i(v33) & $i(v32))) & ! [v31: $i] : ! [v32:
% 158.57/24.79 | $i] : ( ~ (k1_mcart_1(v31) = v32) | ~ $i(v31) | ~
% 158.57/24.79 | m1_subset_1(v31, v4) | ? [v33: $i] : ? [v34: $i] :
% 158.57/24.79 | (k2_cat_1(v2, v31) = v33 & k1_mcart_1(v32) = v33 &
% 158.57/24.79 | k3_cat_1(v2, v31) = v34 & k2_mcart_1(v32) = v34 &
% 158.57/24.79 | $i(v34) & $i(v33))) & ! [v31: $i] : ! [v32: $i] : ( ~
% 158.57/24.79 | (k3_cat_1(v2, v31) = v32) | ~ $i(v31) | ~
% 158.57/24.79 | m1_subset_1(v31, v4) | ? [v33: $i] : ? [v34: $i] :
% 158.57/24.79 | (k2_cat_1(v2, v31) = v33 & k1_mcart_1(v34) = v33 &
% 158.57/24.79 | k1_mcart_1(v31) = v34 & k2_mcart_1(v34) = v32 & $i(v34)
% 158.57/24.79 | & $i(v33) & $i(v32))))))) & ! [v5: $i] : ! [v6: $i] :
% 158.57/24.79 | ( ~ (u5_cat_1(v5) = v6) | ~ $i(v5) | ~ v1_cat_1(v5) | ~
% 158.57/24.79 | l1_cat_1(v5) | ~ v2_cat_1(v5) | ? [v7: $i] : ? [v8: $i] : ?
% 158.57/24.79 | [v9: $i] : ? [v10: $i] : ? [v11: $i] : ? [v12: $i] : ? [v13:
% 158.57/24.79 | $i] : ? [v14: $i] : ? [v15: $i] : ? [v16: $i] : ? [v17: $i]
% 158.57/24.79 | : ? [v18: $i] : ? [v19: $i] : ? [v20: $i] : ? [v21: $i] : ?
% 158.57/24.79 | [v22: $i] : ? [v23: $i] : ? [v24: $i] : ? [v25: $i] : ? [v26:
% 158.57/24.79 | $i] : ? [v27: $i] : ? [v28: $i] : ? [v29: $i] : ? [v30: $i]
% 158.57/24.79 | : ($i(v25) & $i(v22) & $i(v20) & $i(v17) & $i(v16) & $i(v12) &
% 158.57/24.79 | $i(v10) & ( ~ (v5 = v2) | (v8 = v4 & v7 = v3 & k1_relat_1(v6) =
% 158.57/24.79 | v9 & u1_cat_1(v2) = v3 & u2_cat_1(v2) = v4 & $i(v9) & !
% 158.57/24.79 | [v31: $i] : ! [v32: $i] : ! [v33: $i] : ! [v34: $i] : (
% 158.57/24.79 | ~ (k13_cat_2(v2, v2, v33, v31) = v34) | ~ (k3_cat_1(v2,
% 158.57/24.79 | v31) = v32) | ~ $i(v33) | ~ $i(v31) | ~
% 158.57/24.79 | m1_subset_1(v33, v4) | ~ m1_subset_1(v31, v4) |
% 158.57/24.79 | r2_hidden(v34, v9) | ? [v35: $i] : ( ~ (v35 = v32) &
% 158.57/24.79 | k2_cat_1(v2, v33) = v35 & $i(v35))) & ! [v31: $i] : !
% 158.57/24.79 | [v32: $i] : ! [v33: $i] : ( ~ (k10_cat_1(v2, v31) = v32) |
% 158.57/24.79 | ~ (k7_nattra_1(v0, v1, v31) = v33) | ~ $i(v31) | ~
% 158.57/24.79 | m2_cat_1(v31, v0, v1) | ~ m1_subset_1(v31, v3) | ?
% 158.57/24.79 | [v34: $i] : (k4_tarski(v34, v33) = v32 & k4_tarski(v31,
% 158.57/24.79 | v31) = v34 & $i(v34) & $i(v32))) & ! [v31: $i] : !
% 158.57/24.79 | [v32: $i] : ! [v33: $i] : ( ~ (k10_cat_1(v2, v31) = v32) |
% 158.57/24.79 | ~ (k4_tarski(v31, v31) = v33) | ~ $i(v31) | ~
% 158.57/24.79 | m2_cat_1(v31, v0, v1) | ~ m1_subset_1(v31, v3) | ?
% 158.57/24.79 | [v34: $i] : (k7_nattra_1(v0, v1, v31) = v34 &
% 158.57/24.79 | k4_tarski(v33, v34) = v32 & $i(v34) & $i(v32))) & !
% 158.57/24.79 | [v31: $i] : ! [v32: $i] : ! [v33: $i] : ( ~
% 158.57/24.79 | (k13_cat_2(v2, v2, v32, v31) = v33) | ~ $i(v32) | ~
% 158.57/24.79 | $i(v31) | ~ r2_hidden(v33, v9) | ~ m1_subset_1(v32, v4)
% 158.57/24.79 | | ~ m1_subset_1(v31, v4) | ? [v34: $i] : ? [v35: $i] :
% 158.57/24.79 | ? [v36: $i] : ? [v37: $i] : ? [v38: $i] : ? [v39: $i]
% 158.57/24.79 | : ? [v40: $i] : ? [v41: $i] : ? [v42: $i] : ? [v43:
% 158.57/24.79 | $i] : (k1_funct_1(v6, v33) = v34 & k8_nattra_1(v0, v1,
% 158.57/24.79 | v35, v36, v38, v41, v42) = v43 & k4_tarski(v40, v43)
% 158.57/24.79 | = v34 & k4_tarski(v39, v42) = v32 & k4_tarski(v37, v41)
% 158.57/24.79 | = v31 & k4_tarski(v36, v38) = v39 & k4_tarski(v35, v38)
% 158.57/24.79 | = v40 & k4_tarski(v35, v36) = v37 & $i(v43) & $i(v42) &
% 158.57/24.79 | $i(v41) & $i(v40) & $i(v39) & $i(v38) & $i(v37) &
% 158.57/24.79 | $i(v36) & $i(v35) & $i(v34) & m2_nattra_1(v42, v0, v1,
% 158.57/24.79 | v36, v38) & m2_nattra_1(v41, v0, v1, v35, v36) &
% 158.57/24.79 | m2_cat_1(v38, v0, v1) & m2_cat_1(v36, v0, v1) &
% 158.57/24.79 | m2_cat_1(v35, v0, v1))) & ! [v31: $i] : ! [v32: $i] :
% 158.57/24.79 | ! [v33: $i] : ( ~ (k2_cat_1(v2, v33) = v32) | ~
% 158.57/24.79 | (k3_cat_1(v2, v31) = v32) | ~ $i(v33) | ~ $i(v31) | ~
% 158.57/24.79 | m1_subset_1(v33, v4) | ~ m1_subset_1(v31, v4) | ? [v34:
% 158.57/24.79 | $i] : (k13_cat_2(v2, v2, v33, v31) = v34 & $i(v34) &
% 158.57/24.79 | r2_hidden(v34, v9))) & ! [v31: $i] : ! [v32: $i] : (
% 158.57/24.79 | ~ (k2_cat_1(v2, v31) = v32) | ~ $i(v31) | ~
% 158.57/24.79 | m1_subset_1(v31, v4) | ? [v33: $i] : ? [v34: $i] :
% 158.57/24.79 | (k1_mcart_1(v33) = v32 & k1_mcart_1(v31) = v33 &
% 158.57/24.79 | k3_cat_1(v2, v31) = v34 & k2_mcart_1(v33) = v34 &
% 158.57/24.79 | $i(v34) & $i(v33) & $i(v32))) & ! [v31: $i] : ! [v32:
% 158.57/24.79 | $i] : ( ~ (k1_mcart_1(v31) = v32) | ~ $i(v31) | ~
% 158.57/24.79 | m1_subset_1(v31, v4) | ? [v33: $i] : ? [v34: $i] :
% 158.57/24.79 | (k2_cat_1(v2, v31) = v33 & k1_mcart_1(v32) = v33 &
% 158.57/24.79 | k3_cat_1(v2, v31) = v34 & k2_mcart_1(v32) = v34 &
% 158.57/24.79 | $i(v34) & $i(v33))) & ! [v31: $i] : ! [v32: $i] : ( ~
% 158.57/24.79 | (k3_cat_1(v2, v31) = v32) | ~ $i(v31) | ~
% 158.57/24.79 | m1_subset_1(v31, v4) | ? [v33: $i] : ? [v34: $i] :
% 158.57/24.79 | (k2_cat_1(v2, v31) = v33 & k1_mcart_1(v34) = v33 &
% 158.57/24.79 | k1_mcart_1(v31) = v34 & k2_mcart_1(v34) = v32 & $i(v34)
% 158.57/24.79 | & $i(v33) & $i(v32))))) & (v5 = v2 | (v23 = v21 &
% 158.57/24.79 | k1_relat_1(v6) = v9 & k13_cat_2(v5, v5, v22, v20) = v24 &
% 158.57/24.79 | k2_cat_1(v5, v22) = v21 & k3_cat_1(v5, v20) = v21 &
% 158.57/24.79 | u2_cat_1(v5) = v8 & $i(v24) & $i(v21) & $i(v9) & $i(v8) &
% 158.57/24.79 | m1_subset_1(v22, v8) & m1_subset_1(v20, v8) & ~
% 158.57/24.79 | r2_hidden(v24, v9)) | (v12 = v10 & ~ (v15 = v11) &
% 158.57/24.79 | k10_cat_1(v5, v10) = v11 & k7_nattra_1(v0, v1, v10) = v14 &
% 158.57/24.79 | k4_tarski(v13, v14) = v15 & k4_tarski(v10, v10) = v13 &
% 158.57/24.79 | u1_cat_1(v5) = v7 & $i(v15) & $i(v14) & $i(v13) & $i(v11) &
% 158.57/24.79 | $i(v7) & m2_cat_1(v10, v0, v1) & m1_subset_1(v10, v7)) | (
% 158.57/24.79 | ~ (v8 = v4) & u2_cat_1(v5) = v8 & $i(v8)) | ( ~ (v7 = v3) &
% 158.57/24.79 | u1_cat_1(v5) = v7 & $i(v7)) | (k1_relat_1(v6) = v9 &
% 158.57/24.79 | k1_funct_1(v6, v18) = v19 & k13_cat_2(v5, v5, v17, v16) =
% 158.57/24.79 | v18 & u2_cat_1(v5) = v8 & $i(v19) & $i(v18) & $i(v9) &
% 158.57/24.79 | $i(v8) & r2_hidden(v18, v9) & m1_subset_1(v17, v8) &
% 158.57/24.79 | m1_subset_1(v16, v8) & ! [v31: $i] : ! [v32: $i] : !
% 158.57/24.79 | [v33: $i] : ! [v34: $i] : ! [v35: $i] : ( ~
% 158.57/24.79 | (k4_tarski(v32, v34) = v35) | ~ (k4_tarski(v31, v32) =
% 158.57/24.79 | v33) | ~ $i(v34) | ~ $i(v32) | ~ $i(v31) | ~
% 158.57/24.79 | m2_cat_1(v34, v0, v1) | ~ m2_cat_1(v32, v0, v1) | ~
% 158.57/24.79 | m2_cat_1(v31, v0, v1) | ? [v36: $i] : (k4_tarski(v31,
% 158.57/24.79 | v34) = v36 & $i(v36) & ! [v37: $i] : ! [v38: $i] :
% 158.57/24.79 | ! [v39: $i] : ( ~ (k8_nattra_1(v0, v1, v31, v32, v34,
% 158.57/24.79 | v37, v38) = v39) | ~ (k4_tarski(v33, v37) = v16)
% 158.57/24.79 | | ~ $i(v38) | ~ $i(v37) | ~ m2_nattra_1(v38, v0,
% 158.57/24.79 | v1, v32, v34) | ~ m2_nattra_1(v37, v0, v1, v31,
% 158.57/24.79 | v32) | ? [v40: $i] : ? [v41: $i] : (( ~ (v41 =
% 158.57/24.79 | v19) & k4_tarski(v36, v39) = v41 & $i(v41)) | (
% 158.57/24.79 | ~ (v40 = v17) & k4_tarski(v35, v38) = v40 &
% 158.57/24.79 | $i(v40)))) & ! [v37: $i] : ! [v38: $i] : ( ~
% 158.57/24.79 | (k4_tarski(v35, v38) = v17) | ~ (k4_tarski(v33, v37)
% 158.57/24.79 | = v16) | ~ $i(v38) | ~ $i(v37) | ~
% 158.57/24.79 | m2_nattra_1(v38, v0, v1, v32, v34) | ~
% 158.57/24.79 | m2_nattra_1(v37, v0, v1, v31, v32) | ? [v39: $i] :
% 158.57/24.79 | ? [v40: $i] : ( ~ (v40 = v19) & k8_nattra_1(v0, v1,
% 158.57/24.79 | v31, v32, v34, v37, v38) = v39 & k4_tarski(v36,
% 158.57/24.79 | v39) = v40 & $i(v40) & $i(v39))))) & ! [v31: $i]
% 158.57/24.79 | : ! [v32: $i] : ! [v33: $i] : ! [v34: $i] : ! [v35: $i]
% 158.57/24.79 | : ( ~ (k4_tarski(v31, v34) = v35) | ~ (k4_tarski(v31, v32)
% 158.57/24.79 | = v33) | ~ $i(v34) | ~ $i(v32) | ~ $i(v31) | ~
% 158.57/24.79 | m2_cat_1(v34, v0, v1) | ~ m2_cat_1(v32, v0, v1) | ~
% 158.57/24.79 | m2_cat_1(v31, v0, v1) | ? [v36: $i] : (k4_tarski(v32,
% 158.57/24.79 | v34) = v36 & $i(v36) & ! [v37: $i] : ! [v38: $i] :
% 158.57/24.79 | ! [v39: $i] : ( ~ (k8_nattra_1(v0, v1, v31, v32, v34,
% 158.57/24.79 | v37, v38) = v39) | ~ (k4_tarski(v33, v37) = v16)
% 158.57/24.79 | | ~ $i(v38) | ~ $i(v37) | ~ m2_nattra_1(v38, v0,
% 158.57/24.79 | v1, v32, v34) | ~ m2_nattra_1(v37, v0, v1, v31,
% 158.57/24.79 | v32) | ? [v40: $i] : ? [v41: $i] : (( ~ (v41 =
% 158.57/24.79 | v19) & k4_tarski(v35, v39) = v41 & $i(v41)) | (
% 158.57/24.79 | ~ (v40 = v17) & k4_tarski(v36, v38) = v40 &
% 158.57/24.79 | $i(v40)))) & ! [v37: $i] : ! [v38: $i] : ( ~
% 158.57/24.79 | (k4_tarski(v36, v38) = v17) | ~ (k4_tarski(v33, v37)
% 158.57/24.79 | = v16) | ~ $i(v38) | ~ $i(v37) | ~
% 158.57/24.79 | m2_nattra_1(v38, v0, v1, v32, v34) | ~
% 158.57/24.79 | m2_nattra_1(v37, v0, v1, v31, v32) | ? [v39: $i] :
% 158.57/24.79 | ? [v40: $i] : ( ~ (v40 = v19) & k8_nattra_1(v0, v1,
% 158.57/24.79 | v31, v32, v34, v37, v38) = v39 & k4_tarski(v35,
% 158.57/24.79 | v39) = v40 & $i(v40) & $i(v39)))))) |
% 158.57/24.79 | (k1_mcart_1(v25) = v27 & u2_cat_1(v5) = v8 & $i(v27) & $i(v8)
% 158.57/24.79 | & m1_subset_1(v25, v8) & (( ~ (v30 = v29) & k3_cat_1(v5,
% 158.57/24.79 | v25) = v29 & k2_mcart_1(v27) = v30 & $i(v30) &
% 158.57/24.79 | $i(v29)) | ( ~ (v28 = v26) & k2_cat_1(v5, v25) = v26 &
% 158.57/24.79 | k1_mcart_1(v27) = v28 & $i(v28) & $i(v26)))))))))
% 158.57/24.79 |
% 158.57/24.79 | ALPHA: (d2_yoneda_1) implies:
% 158.57/24.79 | (4) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~
% 158.57/24.79 | (k2_yoneda_1(v0, v2) = v3) | ~ (u1_cat_1(v0) = v1) | ~ $i(v2) | ~
% 158.57/24.79 | $i(v0) | ~ m1_subset_1(v2, v1) | ~ l1_cat_1(v0) | ~ v2_cat_1(v0) |
% 158.57/24.79 | (k20_ens_1(v0, v2) = v3 & $i(v3)))
% 158.77/24.79 |
% 158.77/24.79 | ALPHA: (d5_tarski) implies:
% 158.77/24.79 | (5) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ (k2_tarski(v0, v1) = v2)
% 158.77/24.79 | | ~ $i(v1) | ~ $i(v0) | ? [v3: $i] : ? [v4: $i] : (k1_tarski(v0)
% 158.77/24.79 | = v4 & k4_tarski(v0, v1) = v3 & k2_tarski(v2, v4) = v3 & $i(v4) &
% 158.77/24.79 | $i(v3)))
% 158.77/24.79 | (6) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ (k4_tarski(v0, v1) = v2)
% 158.77/24.79 | | ~ $i(v1) | ~ $i(v0) | ? [v3: $i] : ? [v4: $i] : (k1_tarski(v0)
% 158.77/24.79 | = v4 & k2_tarski(v3, v4) = v2 & k2_tarski(v0, v1) = v3 & $i(v4) &
% 158.77/24.79 | $i(v3) & $i(v2)))
% 158.77/24.79 |
% 158.77/24.79 | ALPHA: (dt_k12_nattra_1) implies:
% 158.77/24.79 | (7) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ (k12_nattra_1(v0, v1) =
% 158.77/24.79 | v2) | ~ $i(v1) | ~ $i(v0) | ~ l1_cat_1(v1) | ~ l1_cat_1(v0) |
% 158.77/24.79 | ~ v2_cat_1(v1) | ~ v2_cat_1(v0) | v2_cat_1(v2))
% 158.77/24.79 | (8) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ (k12_nattra_1(v0, v1) =
% 158.77/24.79 | v2) | ~ $i(v1) | ~ $i(v0) | ~ l1_cat_1(v1) | ~ l1_cat_1(v0) |
% 158.77/24.79 | ~ v2_cat_1(v1) | ~ v2_cat_1(v0) | l1_cat_1(v2))
% 158.77/24.79 | (9) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ (k12_nattra_1(v0, v1) =
% 158.77/24.79 | v2) | ~ $i(v1) | ~ $i(v0) | ~ l1_cat_1(v1) | ~ l1_cat_1(v0) |
% 158.77/24.79 | ~ v2_cat_1(v1) | ~ v2_cat_1(v0) | v1_cat_1(v2))
% 158.77/24.79 |
% 158.77/24.79 | ALPHA: (dt_k1_yoneda_1) implies:
% 158.77/24.79 | (10) ! [v0: $i] : ! [v1: $i] : ( ~ (k1_yoneda_1(v0) = v1) | ~ $i(v0) |
% 158.77/24.79 | ~ l1_cat_1(v0) | ~ v2_cat_1(v0) | v2_cat_1(v1))
% 158.77/24.79 | (11) ! [v0: $i] : ! [v1: $i] : ( ~ (k1_yoneda_1(v0) = v1) | ~ $i(v0) |
% 158.77/24.79 | ~ l1_cat_1(v0) | ~ v2_cat_1(v0) | l1_cat_1(v1))
% 158.77/24.79 |
% 158.77/24.79 | ALPHA: (dt_k3_yoneda_1) implies:
% 158.77/24.79 | (12) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ (k3_cat_1(v0, v1) = v2)
% 158.77/24.79 | | ~ $i(v1) | ~ $i(v0) | ~ l1_cat_1(v0) | ~ v2_cat_1(v0) | ?
% 158.77/24.79 | [v3: $i] : ? [v4: $i] : ? [v5: $i] : ? [v6: $i] : ? [v7: $i] :
% 158.77/24.79 | ? [v8: $i] : ((k3_yoneda_1(v0, v1) = v4 & k2_yoneda_1(v0, v7) = v8 &
% 158.77/24.79 | k2_yoneda_1(v0, v2) = v6 & k1_yoneda_1(v0) = v5 & k2_cat_1(v0,
% 158.77/24.79 | v1) = v7 & $i(v8) & $i(v7) & $i(v6) & $i(v5) & $i(v4) &
% 158.77/24.79 | m2_nattra_1(v4, v0, v5, v6, v8)) | (u2_cat_1(v0) = v3 & $i(v3) &
% 158.77/24.79 | ~ m1_subset_1(v1, v3))))
% 158.77/24.79 | (13) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ (k2_cat_1(v0, v1) = v2)
% 158.77/24.79 | | ~ $i(v1) | ~ $i(v0) | ~ l1_cat_1(v0) | ~ v2_cat_1(v0) | ?
% 158.77/24.79 | [v3: $i] : ? [v4: $i] : ? [v5: $i] : ? [v6: $i] : ? [v7: $i] :
% 158.77/24.79 | ? [v8: $i] : ((k3_yoneda_1(v0, v1) = v4 & k2_yoneda_1(v0, v6) = v7 &
% 158.77/24.79 | k2_yoneda_1(v0, v2) = v8 & k1_yoneda_1(v0) = v5 & k3_cat_1(v0,
% 158.77/24.79 | v1) = v6 & $i(v8) & $i(v7) & $i(v6) & $i(v5) & $i(v4) &
% 158.77/24.79 | m2_nattra_1(v4, v0, v5, v7, v8)) | (u2_cat_1(v0) = v3 & $i(v3) &
% 158.77/24.79 | ~ m1_subset_1(v1, v3))))
% 158.77/24.80 | (14) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ (k3_yoneda_1(v0, v1) =
% 158.77/24.80 | v2) | ~ $i(v1) | ~ $i(v0) | ~ l1_cat_1(v0) | ~ v2_cat_1(v0) |
% 158.77/24.80 | ? [v3: $i] : ? [v4: $i] : ? [v5: $i] : ? [v6: $i] : ? [v7: $i] :
% 158.77/24.80 | ? [v8: $i] : ((k2_yoneda_1(v0, v7) = v8 & k2_yoneda_1(v0, v5) = v6
% 158.77/24.80 | & k1_yoneda_1(v0) = v4 & k2_cat_1(v0, v1) = v7 & k3_cat_1(v0,
% 158.77/24.80 | v1) = v5 & $i(v8) & $i(v7) & $i(v6) & $i(v5) & $i(v4) &
% 158.77/24.80 | m2_nattra_1(v2, v0, v4, v6, v8)) | (u2_cat_1(v0) = v3 & $i(v3) &
% 158.77/24.80 | ~ m1_subset_1(v1, v3))))
% 158.77/24.80 |
% 158.77/24.80 | ALPHA: (dt_m1_cat_1) implies:
% 158.77/24.80 | (15) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~
% 158.77/24.80 | (u1_cat_1(v0) = v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~
% 158.77/24.80 | m1_subset_1(v2, v3) | ~ m1_subset_1(v1, v3) | ~ l1_cat_1(v0) | ?
% 158.77/24.80 | [v4: $i] : (u2_cat_1(v0) = v4 & $i(v4) & ! [v5: $i] : ( ~ $i(v5) |
% 158.77/24.80 | ~ m1_cat_1(v5, v0, v1, v2) | m1_subset_1(v5, v4))))
% 158.77/24.80 |
% 158.77/24.80 | ALPHA: (dt_u3_cat_1) implies:
% 158.77/24.80 | (16) ! [v0: $i] : ! [v1: $i] : ( ~ (u2_cat_1(v0) = v1) | ~ $i(v0) | ~
% 158.77/24.80 | l1_cat_1(v0) | ? [v2: $i] : ? [v3: $i] : (u1_cat_1(v0) = v3 &
% 158.77/24.80 | u3_cat_1(v0) = v2 & $i(v3) & $i(v2) & m2_relset_1(v2, v1, v3) &
% 158.77/24.80 | v1_funct_2(v2, v1, v3) & v1_funct_1(v2)))
% 158.77/24.80 |
% 158.77/24.80 | ALPHA: (dt_u4_cat_1) implies:
% 158.77/24.80 | (17) ! [v0: $i] : ! [v1: $i] : ( ~ (u2_cat_1(v0) = v1) | ~ $i(v0) | ~
% 158.77/24.80 | l1_cat_1(v0) | ? [v2: $i] : ? [v3: $i] : (u1_cat_1(v0) = v3 &
% 158.77/24.80 | u4_cat_1(v0) = v2 & $i(v3) & $i(v2) & m2_relset_1(v2, v1, v3) &
% 158.77/24.80 | v1_funct_2(v2, v1, v3) & v1_funct_1(v2)))
% 158.77/24.80 |
% 158.77/24.80 | ALPHA: (dt_u6_cat_1) implies:
% 158.77/24.80 | (18) ! [v0: $i] : ! [v1: $i] : ( ~ (u2_cat_1(v0) = v1) | ~ $i(v0) | ~
% 158.77/24.80 | l1_cat_1(v0) | ? [v2: $i] : ? [v3: $i] : (u6_cat_1(v0) = v2 &
% 158.77/24.80 | u1_cat_1(v0) = v3 & $i(v3) & $i(v2) & m2_relset_1(v2, v3, v1) &
% 158.77/24.80 | v1_funct_2(v2, v3, v1) & v1_funct_1(v2)))
% 158.77/24.80 |
% 158.77/24.80 | ALPHA: (t3_yoneda_1) implies:
% 158.77/24.80 | (19) ! [v0: $i] : ! [v1: $i] : ( ~ (u2_cat_1(v0) = v1) | ~ $i(v0) | ~
% 158.77/24.80 | l1_cat_1(v0) | ~ v2_cat_1(v0) | ? [v2: $i] : (k1_yoneda_1(v0) = v2
% 158.77/24.80 | & $i(v2) & ! [v3: $i] : ! [v4: $i] : ( ~ (k2_cat_1(v0, v3) = v4)
% 158.77/24.80 | | ~ $i(v3) | ~ m1_subset_1(v3, v1) | ? [v5: $i] : ? [v6: $i]
% 158.77/24.80 | : ? [v7: $i] : (k2_yoneda_1(v0, v5) = v6 & k2_yoneda_1(v0, v4)
% 158.77/24.80 | = v7 & k3_cat_1(v0, v3) = v5 & $i(v7) & $i(v6) & $i(v5) &
% 158.77/24.80 | r2_nattra_1(v0, v2, v6, v7))) & ! [v3: $i] : ! [v4: $i] : (
% 158.77/24.80 | ~ (k3_cat_1(v0, v3) = v4) | ~ $i(v3) | ~ m1_subset_1(v3, v1) |
% 158.77/24.80 | ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : (k2_yoneda_1(v0, v6) =
% 158.77/24.80 | v7 & k2_yoneda_1(v0, v4) = v5 & k2_cat_1(v0, v3) = v6 & $i(v7)
% 158.77/24.80 | & $i(v6) & $i(v5) & r2_nattra_1(v0, v2, v5, v7)))))
% 158.77/24.80 | (20) ! [v0: $i] : ! [v1: $i] : ( ~ (k1_yoneda_1(v0) = v1) | ~ $i(v0) |
% 158.77/24.80 | ~ l1_cat_1(v0) | ~ v2_cat_1(v0) | ? [v2: $i] : (u2_cat_1(v0) = v2
% 158.77/24.80 | & $i(v2) & ! [v3: $i] : ! [v4: $i] : ( ~ (k2_cat_1(v0, v3) = v4)
% 158.77/24.80 | | ~ $i(v3) | ~ m1_subset_1(v3, v2) | ? [v5: $i] : ? [v6: $i]
% 158.77/24.80 | : ? [v7: $i] : (k2_yoneda_1(v0, v5) = v6 & k2_yoneda_1(v0, v4)
% 158.77/24.80 | = v7 & k3_cat_1(v0, v3) = v5 & $i(v7) & $i(v6) & $i(v5) &
% 158.77/24.80 | r2_nattra_1(v0, v1, v6, v7))) & ! [v3: $i] : ! [v4: $i] : (
% 158.77/24.80 | ~ (k3_cat_1(v0, v3) = v4) | ~ $i(v3) | ~ m1_subset_1(v3, v2) |
% 158.77/24.80 | ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : (k2_yoneda_1(v0, v6) =
% 158.77/24.80 | v7 & k2_yoneda_1(v0, v4) = v5 & k2_cat_1(v0, v3) = v6 & $i(v7)
% 158.77/24.80 | & $i(v6) & $i(v5) & r2_nattra_1(v0, v1, v5, v7)))))
% 158.77/24.80 |
% 158.77/24.80 | ALPHA: (function-axioms) implies:
% 158.77/24.80 | (21) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (u2_cat_1(v2)
% 158.77/24.80 | = v1) | ~ (u2_cat_1(v2) = v0))
% 158.77/24.80 | (22) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (u1_cat_1(v2)
% 158.77/24.80 | = v1) | ~ (u1_cat_1(v2) = v0))
% 158.77/24.80 | (23) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~
% 158.77/24.80 | (k1_yoneda_1(v2) = v1) | ~ (k1_yoneda_1(v2) = v0))
% 158.77/24.80 | (24) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (k1_tarski(v2)
% 158.77/24.80 | = v1) | ~ (k1_tarski(v2) = v0))
% 158.77/24.80 | (25) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 158.77/24.80 | (k3_cat_1(v3, v2) = v1) | ~ (k3_cat_1(v3, v2) = v0))
% 158.77/24.80 | (26) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 158.77/24.80 | (k2_cat_1(v3, v2) = v1) | ~ (k2_cat_1(v3, v2) = v0))
% 158.77/24.80 | (27) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 158.77/24.80 | (k2_yoneda_1(v3, v2) = v1) | ~ (k2_yoneda_1(v3, v2) = v0))
% 158.77/24.80 | (28) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 158.77/24.80 | (k3_yoneda_1(v3, v2) = v1) | ~ (k3_yoneda_1(v3, v2) = v0))
% 158.77/24.80 |
% 158.77/24.80 | DELTA: instantiating (t4_yoneda_1) with fresh symbols all_88_0, all_88_1,
% 158.77/24.80 | all_88_2, all_88_3, all_88_4, all_88_5, all_88_6, all_88_7, all_88_8,
% 158.77/24.80 | all_88_9, all_88_10, all_88_11, all_88_12 gives:
% 158.77/24.80 | (29) k3_yoneda_1(all_88_12, all_88_7) = all_88_1 & k2_yoneda_1(all_88_12,
% 158.77/24.80 | all_88_4) = all_88_3 & k2_yoneda_1(all_88_12, all_88_6) = all_88_5 &
% 158.77/24.80 | k1_yoneda_1(all_88_12) = all_88_10 & k12_nattra_1(all_88_12,
% 158.77/24.80 | all_88_10) = all_88_9 & k2_cat_1(all_88_12, all_88_7) = all_88_4 &
% 158.77/24.80 | k3_cat_1(all_88_12, all_88_7) = all_88_6 & k4_tarski(all_88_2,
% 158.77/24.80 | all_88_1) = all_88_0 & k4_tarski(all_88_5, all_88_3) = all_88_2 &
% 158.77/24.80 | u2_cat_1(all_88_9) = all_88_8 & u2_cat_1(all_88_12) = all_88_11 &
% 158.77/24.80 | $i(all_88_0) & $i(all_88_1) & $i(all_88_2) & $i(all_88_3) &
% 158.77/24.80 | $i(all_88_4) & $i(all_88_5) & $i(all_88_6) & $i(all_88_7) &
% 158.77/24.80 | $i(all_88_8) & $i(all_88_9) & $i(all_88_10) & $i(all_88_11) &
% 158.77/24.80 | $i(all_88_12) & m1_subset_1(all_88_7, all_88_11) & l1_cat_1(all_88_12)
% 158.77/24.80 | & v2_cat_1(all_88_12) & ~ m1_subset_1(all_88_0, all_88_8)
% 158.77/24.80 |
% 158.77/24.80 | ALPHA: (29) implies:
% 158.77/24.80 | (30) ~ m1_subset_1(all_88_0, all_88_8)
% 158.77/24.80 | (31) v2_cat_1(all_88_12)
% 158.77/24.80 | (32) l1_cat_1(all_88_12)
% 158.77/24.80 | (33) m1_subset_1(all_88_7, all_88_11)
% 158.77/24.80 | (34) $i(all_88_12)
% 158.77/24.80 | (35) $i(all_88_9)
% 158.77/24.80 | (36) $i(all_88_7)
% 158.77/24.80 | (37) $i(all_88_6)
% 158.77/24.80 | (38) $i(all_88_5)
% 158.77/24.80 | (39) $i(all_88_4)
% 158.77/24.80 | (40) $i(all_88_3)
% 158.77/24.80 | (41) $i(all_88_2)
% 158.77/24.80 | (42) $i(all_88_1)
% 158.77/24.80 | (43) u2_cat_1(all_88_12) = all_88_11
% 158.77/24.80 | (44) u2_cat_1(all_88_9) = all_88_8
% 158.77/24.80 | (45) k4_tarski(all_88_5, all_88_3) = all_88_2
% 158.77/24.80 | (46) k4_tarski(all_88_2, all_88_1) = all_88_0
% 158.77/24.80 | (47) k3_cat_1(all_88_12, all_88_7) = all_88_6
% 158.77/24.80 | (48) k2_cat_1(all_88_12, all_88_7) = all_88_4
% 158.77/24.80 | (49) k12_nattra_1(all_88_12, all_88_10) = all_88_9
% 158.77/24.80 | (50) k1_yoneda_1(all_88_12) = all_88_10
% 158.77/24.80 | (51) k2_yoneda_1(all_88_12, all_88_6) = all_88_5
% 158.77/24.80 | (52) k2_yoneda_1(all_88_12, all_88_4) = all_88_3
% 158.77/24.80 | (53) k3_yoneda_1(all_88_12, all_88_7) = all_88_1
% 158.77/24.80 |
% 158.77/24.80 | GROUND_INST: instantiating (21) with all_88_11, all_88_8, all_88_12,
% 158.77/24.80 | simplifying with (43) gives:
% 158.77/24.80 | (54) all_88_8 = all_88_11 | ~ (u2_cat_1(all_88_12) = all_88_8)
% 158.77/24.80 |
% 158.77/24.80 | GROUND_INST: instantiating (27) with all_88_5, all_88_3, all_88_6, all_88_12,
% 158.77/24.80 | simplifying with (51) gives:
% 158.77/24.80 | (55) all_88_3 = all_88_5 | ~ (k2_yoneda_1(all_88_12, all_88_6) = all_88_3)
% 158.77/24.80 |
% 158.77/24.81 | GROUND_INST: instantiating (19) with all_88_12, all_88_11, simplifying with
% 158.77/24.81 | (31), (32), (34), (43) gives:
% 158.77/24.81 | (56) ? [v0: $i] : (k1_yoneda_1(all_88_12) = v0 & $i(v0) & ! [v1: $i] : !
% 158.77/24.81 | [v2: $i] : ( ~ (k2_cat_1(all_88_12, v1) = v2) | ~ $i(v1) | ~
% 158.77/24.81 | m1_subset_1(v1, all_88_11) | ? [v3: $i] : ? [v4: $i] : ? [v5:
% 158.77/24.81 | $i] : (k2_yoneda_1(all_88_12, v3) = v4 & k2_yoneda_1(all_88_12,
% 158.77/24.81 | v2) = v5 & k3_cat_1(all_88_12, v1) = v3 & $i(v5) & $i(v4) &
% 158.77/24.81 | $i(v3) & r2_nattra_1(all_88_12, v0, v4, v5))) & ! [v1: $i] : !
% 158.77/24.81 | [v2: $i] : ( ~ (k3_cat_1(all_88_12, v1) = v2) | ~ $i(v1) | ~
% 158.77/24.81 | m1_subset_1(v1, all_88_11) | ? [v3: $i] : ? [v4: $i] : ? [v5:
% 158.77/24.81 | $i] : (k2_yoneda_1(all_88_12, v4) = v5 & k2_yoneda_1(all_88_12,
% 158.77/24.81 | v2) = v3 & k2_cat_1(all_88_12, v1) = v4 & $i(v5) & $i(v4) &
% 158.77/24.81 | $i(v3) & r2_nattra_1(all_88_12, v0, v3, v5))))
% 158.77/24.81 |
% 158.77/24.81 | GROUND_INST: instantiating (18) with all_88_12, all_88_11, simplifying with
% 158.77/24.81 | (32), (34), (43) gives:
% 158.77/24.81 | (57) ? [v0: $i] : ? [v1: $i] : (u6_cat_1(all_88_12) = v0 &
% 158.77/24.81 | u1_cat_1(all_88_12) = v1 & $i(v1) & $i(v0) & m2_relset_1(v0, v1,
% 158.77/24.81 | all_88_11) & v1_funct_2(v0, v1, all_88_11) & v1_funct_1(v0))
% 158.77/24.81 |
% 158.77/24.81 | GROUND_INST: instantiating (16) with all_88_12, all_88_11, simplifying with
% 158.77/24.81 | (32), (34), (43) gives:
% 158.77/24.81 | (58) ? [v0: $i] : ? [v1: $i] : (u1_cat_1(all_88_12) = v1 &
% 158.77/24.81 | u3_cat_1(all_88_12) = v0 & $i(v1) & $i(v0) & m2_relset_1(v0,
% 158.77/24.81 | all_88_11, v1) & v1_funct_2(v0, all_88_11, v1) & v1_funct_1(v0))
% 158.77/24.81 |
% 158.77/24.81 | GROUND_INST: instantiating (17) with all_88_12, all_88_11, simplifying with
% 158.77/24.81 | (32), (34), (43) gives:
% 158.77/24.81 | (59) ? [v0: $i] : ? [v1: $i] : (u1_cat_1(all_88_12) = v1 &
% 158.77/24.81 | u4_cat_1(all_88_12) = v0 & $i(v1) & $i(v0) & m2_relset_1(v0,
% 158.77/24.81 | all_88_11, v1) & v1_funct_2(v0, all_88_11, v1) & v1_funct_1(v0))
% 158.77/24.81 |
% 158.77/24.81 | GROUND_INST: instantiating (6) with all_88_5, all_88_3, all_88_2, simplifying
% 158.77/24.81 | with (38), (40), (45) gives:
% 158.77/24.81 | (60) ? [v0: $i] : ? [v1: $i] : (k1_tarski(all_88_5) = v1 & k2_tarski(v0,
% 158.77/24.81 | v1) = all_88_2 & k2_tarski(all_88_5, all_88_3) = v0 & $i(v1) &
% 158.77/24.81 | $i(v0) & $i(all_88_2))
% 158.77/24.81 |
% 158.77/24.81 | GROUND_INST: instantiating (6) with all_88_2, all_88_1, all_88_0, simplifying
% 158.77/24.81 | with (41), (42), (46) gives:
% 158.77/24.81 | (61) ? [v0: $i] : ? [v1: $i] : (k1_tarski(all_88_2) = v1 & k2_tarski(v0,
% 158.77/24.81 | v1) = all_88_0 & k2_tarski(all_88_2, all_88_1) = v0 & $i(v1) &
% 158.77/24.81 | $i(v0) & $i(all_88_0))
% 158.77/24.81 |
% 158.77/24.81 | GROUND_INST: instantiating (12) with all_88_12, all_88_7, all_88_6,
% 158.77/24.81 | simplifying with (31), (32), (34), (36), (47) gives:
% 158.77/24.81 | (62) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] :
% 158.77/24.81 | ? [v5: $i] : ((k3_yoneda_1(all_88_12, all_88_7) = v1 &
% 158.77/24.81 | k2_yoneda_1(all_88_12, v4) = v5 & k2_yoneda_1(all_88_12, all_88_6)
% 158.77/24.81 | = v3 & k1_yoneda_1(all_88_12) = v2 & k2_cat_1(all_88_12, all_88_7)
% 158.77/24.81 | = v4 & $i(v5) & $i(v4) & $i(v3) & $i(v2) & $i(v1) &
% 158.77/24.81 | m2_nattra_1(v1, all_88_12, v2, v3, v5)) | (u2_cat_1(all_88_12) =
% 158.77/24.81 | v0 & $i(v0) & ~ m1_subset_1(all_88_7, v0)))
% 158.77/24.81 |
% 158.77/24.81 | GROUND_INST: instantiating (dt_k3_cat_1) with all_88_12, all_88_7, all_88_6,
% 158.77/24.81 | simplifying with (32), (34), (36), (47) gives:
% 158.77/24.81 | (63) ? [v0: $i] : ? [v1: $i] : ((u1_cat_1(all_88_12) = v1 & $i(v1) &
% 158.77/24.81 | m1_subset_1(all_88_6, v1)) | (u2_cat_1(all_88_12) = v0 & $i(v0) &
% 158.77/24.81 | ~ m1_subset_1(all_88_7, v0)))
% 158.77/24.81 |
% 158.77/24.81 | GROUND_INST: instantiating (13) with all_88_12, all_88_7, all_88_4,
% 158.77/24.81 | simplifying with (31), (32), (34), (36), (48) gives:
% 158.77/24.81 | (64) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] :
% 158.77/24.81 | ? [v5: $i] : ((k3_yoneda_1(all_88_12, all_88_7) = v1 &
% 158.77/24.81 | k2_yoneda_1(all_88_12, v3) = v4 & k2_yoneda_1(all_88_12, all_88_4)
% 158.77/24.81 | = v5 & k1_yoneda_1(all_88_12) = v2 & k3_cat_1(all_88_12, all_88_7)
% 158.77/24.81 | = v3 & $i(v5) & $i(v4) & $i(v3) & $i(v2) & $i(v1) &
% 158.77/24.81 | m2_nattra_1(v1, all_88_12, v2, v4, v5)) | (u2_cat_1(all_88_12) =
% 158.77/24.81 | v0 & $i(v0) & ~ m1_subset_1(all_88_7, v0)))
% 158.77/24.81 |
% 158.77/24.81 | GROUND_INST: instantiating (dt_k2_cat_1) with all_88_12, all_88_7, all_88_4,
% 158.77/24.81 | simplifying with (32), (34), (36), (48) gives:
% 158.77/24.81 | (65) ? [v0: $i] : ? [v1: $i] : ((u1_cat_1(all_88_12) = v1 & $i(v1) &
% 158.77/24.81 | m1_subset_1(all_88_4, v1)) | (u2_cat_1(all_88_12) = v0 & $i(v0) &
% 158.77/24.81 | ~ m1_subset_1(all_88_7, v0)))
% 158.77/24.81 |
% 158.77/24.81 | GROUND_INST: instantiating (11) with all_88_12, all_88_10, simplifying with
% 158.77/24.81 | (31), (32), (34), (50) gives:
% 158.77/24.81 | (66) l1_cat_1(all_88_10)
% 158.77/24.81 |
% 158.77/24.81 | GROUND_INST: instantiating (10) with all_88_12, all_88_10, simplifying with
% 158.77/24.81 | (31), (32), (34), (50) gives:
% 158.77/24.81 | (67) v2_cat_1(all_88_10)
% 158.77/24.81 |
% 158.77/24.81 | GROUND_INST: instantiating (20) with all_88_12, all_88_10, simplifying with
% 158.77/24.81 | (31), (32), (34), (50) gives:
% 158.77/24.81 | (68) ? [v0: $i] : (u2_cat_1(all_88_12) = v0 & $i(v0) & ! [v1: $i] : !
% 158.77/24.81 | [v2: $i] : ( ~ (k2_cat_1(all_88_12, v1) = v2) | ~ $i(v1) | ~
% 158.77/24.81 | m1_subset_1(v1, v0) | ? [v3: $i] : ? [v4: $i] : ? [v5: $i] :
% 158.77/24.81 | (k2_yoneda_1(all_88_12, v3) = v4 & k2_yoneda_1(all_88_12, v2) = v5
% 158.77/24.81 | & k3_cat_1(all_88_12, v1) = v3 & $i(v5) & $i(v4) & $i(v3) &
% 158.77/24.81 | r2_nattra_1(all_88_12, all_88_10, v4, v5))) & ! [v1: $i] : !
% 158.77/24.81 | [v2: $i] : ( ~ (k3_cat_1(all_88_12, v1) = v2) | ~ $i(v1) | ~
% 158.77/24.81 | m1_subset_1(v1, v0) | ? [v3: $i] : ? [v4: $i] : ? [v5: $i] :
% 158.77/24.81 | (k2_yoneda_1(all_88_12, v4) = v5 & k2_yoneda_1(all_88_12, v2) = v3
% 158.77/24.81 | & k2_cat_1(all_88_12, v1) = v4 & $i(v5) & $i(v4) & $i(v3) &
% 158.77/24.81 | r2_nattra_1(all_88_12, all_88_10, v3, v5))))
% 158.77/24.81 |
% 158.77/24.81 | GROUND_INST: instantiating (dt_k2_yoneda_1) with all_88_12, all_88_6,
% 158.77/24.81 | all_88_5, simplifying with (31), (32), (34), (37), (51) gives:
% 158.77/24.81 | (69) ? [v0: $i] : ? [v1: $i] : ((k1_yoneda_1(all_88_12) = v1 & $i(v1) &
% 158.77/24.81 | m2_cat_1(all_88_5, all_88_12, v1)) | (u1_cat_1(all_88_12) = v0 &
% 158.77/24.81 | $i(v0) & ~ m1_subset_1(all_88_6, v0)))
% 158.77/24.81 |
% 158.77/24.81 | GROUND_INST: instantiating (dt_k2_yoneda_1) with all_88_12, all_88_4,
% 158.77/24.81 | all_88_3, simplifying with (31), (32), (34), (39), (52) gives:
% 158.77/24.81 | (70) ? [v0: $i] : ? [v1: $i] : ((k1_yoneda_1(all_88_12) = v1 & $i(v1) &
% 158.77/24.81 | m2_cat_1(all_88_3, all_88_12, v1)) | (u1_cat_1(all_88_12) = v0 &
% 158.77/24.81 | $i(v0) & ~ m1_subset_1(all_88_4, v0)))
% 158.77/24.81 |
% 158.77/24.81 | GROUND_INST: instantiating (14) with all_88_12, all_88_7, all_88_1,
% 158.77/24.81 | simplifying with (31), (32), (34), (36), (53) gives:
% 158.77/24.81 | (71) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] :
% 158.77/24.81 | ? [v5: $i] : ((k2_yoneda_1(all_88_12, v4) = v5 &
% 158.77/24.81 | k2_yoneda_1(all_88_12, v2) = v3 & k1_yoneda_1(all_88_12) = v1 &
% 158.77/24.81 | k2_cat_1(all_88_12, all_88_7) = v4 & k3_cat_1(all_88_12, all_88_7)
% 158.77/24.81 | = v2 & $i(v5) & $i(v4) & $i(v3) & $i(v2) & $i(v1) &
% 158.77/24.81 | m2_nattra_1(all_88_1, all_88_12, v1, v3, v5)) |
% 158.77/24.81 | (u2_cat_1(all_88_12) = v0 & $i(v0) & ~ m1_subset_1(all_88_7, v0)))
% 158.77/24.81 |
% 158.77/24.81 | DELTA: instantiating (65) with fresh symbols all_108_0, all_108_1 gives:
% 158.77/24.81 | (72) (u1_cat_1(all_88_12) = all_108_0 & $i(all_108_0) &
% 158.77/24.81 | m1_subset_1(all_88_4, all_108_0)) | (u2_cat_1(all_88_12) = all_108_1
% 158.77/24.81 | & $i(all_108_1) & ~ m1_subset_1(all_88_7, all_108_1))
% 158.77/24.81 |
% 158.77/24.81 | DELTA: instantiating (63) with fresh symbols all_109_0, all_109_1 gives:
% 158.77/24.81 | (73) (u1_cat_1(all_88_12) = all_109_0 & $i(all_109_0) &
% 158.77/24.81 | m1_subset_1(all_88_6, all_109_0)) | (u2_cat_1(all_88_12) = all_109_1
% 158.77/24.81 | & $i(all_109_1) & ~ m1_subset_1(all_88_7, all_109_1))
% 158.77/24.81 |
% 158.77/24.81 | DELTA: instantiating (70) with fresh symbols all_112_0, all_112_1 gives:
% 158.77/24.81 | (74) (k1_yoneda_1(all_88_12) = all_112_0 & $i(all_112_0) &
% 158.77/24.81 | m2_cat_1(all_88_3, all_88_12, all_112_0)) | (u1_cat_1(all_88_12) =
% 158.77/24.81 | all_112_1 & $i(all_112_1) & ~ m1_subset_1(all_88_4, all_112_1))
% 158.77/24.81 |
% 158.77/24.81 | DELTA: instantiating (69) with fresh symbols all_113_0, all_113_1 gives:
% 158.77/24.81 | (75) (k1_yoneda_1(all_88_12) = all_113_0 & $i(all_113_0) &
% 158.77/24.81 | m2_cat_1(all_88_5, all_88_12, all_113_0)) | (u1_cat_1(all_88_12) =
% 158.77/24.81 | all_113_1 & $i(all_113_1) & ~ m1_subset_1(all_88_6, all_113_1))
% 158.77/24.81 |
% 158.77/24.81 | DELTA: instantiating (61) with fresh symbols all_114_0, all_114_1 gives:
% 158.77/24.81 | (76) k1_tarski(all_88_2) = all_114_0 & k2_tarski(all_114_1, all_114_0) =
% 158.77/24.81 | all_88_0 & k2_tarski(all_88_2, all_88_1) = all_114_1 & $i(all_114_0) &
% 158.77/24.81 | $i(all_114_1) & $i(all_88_0)
% 158.77/24.81 |
% 158.77/24.81 | ALPHA: (76) implies:
% 158.77/24.81 | (77) $i(all_114_0)
% 158.77/24.81 | (78) k2_tarski(all_88_2, all_88_1) = all_114_1
% 158.77/24.81 | (79) k2_tarski(all_114_1, all_114_0) = all_88_0
% 158.77/24.81 | (80) k1_tarski(all_88_2) = all_114_0
% 158.77/24.81 |
% 158.77/24.81 | DELTA: instantiating (60) with fresh symbols all_116_0, all_116_1 gives:
% 158.77/24.81 | (81) k1_tarski(all_88_5) = all_116_0 & k2_tarski(all_116_1, all_116_0) =
% 158.77/24.81 | all_88_2 & k2_tarski(all_88_5, all_88_3) = all_116_1 & $i(all_116_0) &
% 158.77/24.81 | $i(all_116_1) & $i(all_88_2)
% 158.77/24.81 |
% 158.77/24.81 | DELTA: instantiating (59) with fresh symbols all_118_0, all_118_1 gives:
% 158.77/24.81 | (82) u1_cat_1(all_88_12) = all_118_0 & u4_cat_1(all_88_12) = all_118_1 &
% 158.77/24.81 | $i(all_118_0) & $i(all_118_1) & m2_relset_1(all_118_1, all_88_11,
% 158.77/24.81 | all_118_0) & v1_funct_2(all_118_1, all_88_11, all_118_0) &
% 158.77/24.81 | v1_funct_1(all_118_1)
% 158.77/24.81 |
% 158.77/24.81 | ALPHA: (82) implies:
% 158.77/24.81 | (83) u1_cat_1(all_88_12) = all_118_0
% 158.77/24.81 |
% 158.77/24.81 | DELTA: instantiating (58) with fresh symbols all_120_0, all_120_1 gives:
% 158.77/24.81 | (84) u1_cat_1(all_88_12) = all_120_0 & u3_cat_1(all_88_12) = all_120_1 &
% 158.77/24.81 | $i(all_120_0) & $i(all_120_1) & m2_relset_1(all_120_1, all_88_11,
% 158.77/24.81 | all_120_0) & v1_funct_2(all_120_1, all_88_11, all_120_0) &
% 158.77/24.81 | v1_funct_1(all_120_1)
% 158.77/24.81 |
% 158.77/24.81 | ALPHA: (84) implies:
% 158.77/24.82 | (85) u1_cat_1(all_88_12) = all_120_0
% 158.77/24.82 |
% 158.77/24.82 | DELTA: instantiating (57) with fresh symbols all_122_0, all_122_1 gives:
% 158.77/24.82 | (86) u6_cat_1(all_88_12) = all_122_1 & u1_cat_1(all_88_12) = all_122_0 &
% 158.77/24.82 | $i(all_122_0) & $i(all_122_1) & m2_relset_1(all_122_1, all_122_0,
% 158.77/24.82 | all_88_11) & v1_funct_2(all_122_1, all_122_0, all_88_11) &
% 158.77/24.82 | v1_funct_1(all_122_1)
% 158.77/24.82 |
% 158.77/24.82 | ALPHA: (86) implies:
% 158.77/24.82 | (87) u1_cat_1(all_88_12) = all_122_0
% 158.77/24.82 |
% 158.77/24.82 | DELTA: instantiating (71) with fresh symbols all_124_0, all_124_1, all_124_2,
% 158.77/24.82 | all_124_3, all_124_4, all_124_5 gives:
% 158.77/24.82 | (88) (k2_yoneda_1(all_88_12, all_124_1) = all_124_0 &
% 158.77/24.82 | k2_yoneda_1(all_88_12, all_124_3) = all_124_2 &
% 158.77/24.82 | k1_yoneda_1(all_88_12) = all_124_4 & k2_cat_1(all_88_12, all_88_7) =
% 158.77/24.82 | all_124_1 & k3_cat_1(all_88_12, all_88_7) = all_124_3 &
% 158.77/24.82 | $i(all_124_0) & $i(all_124_1) & $i(all_124_2) & $i(all_124_3) &
% 158.77/24.82 | $i(all_124_4) & m2_nattra_1(all_88_1, all_88_12, all_124_4,
% 158.77/24.82 | all_124_2, all_124_0)) | (u2_cat_1(all_88_12) = all_124_5 &
% 158.77/24.82 | $i(all_124_5) & ~ m1_subset_1(all_88_7, all_124_5))
% 158.77/24.82 |
% 158.77/24.82 | DELTA: instantiating (64) with fresh symbols all_125_0, all_125_1, all_125_2,
% 158.77/24.82 | all_125_3, all_125_4, all_125_5 gives:
% 158.77/24.82 | (89) (k3_yoneda_1(all_88_12, all_88_7) = all_125_4 & k2_yoneda_1(all_88_12,
% 158.77/24.82 | all_125_2) = all_125_1 & k2_yoneda_1(all_88_12, all_88_4) =
% 158.77/24.82 | all_125_0 & k1_yoneda_1(all_88_12) = all_125_3 & k3_cat_1(all_88_12,
% 158.77/24.82 | all_88_7) = all_125_2 & $i(all_125_0) & $i(all_125_1) &
% 158.77/24.82 | $i(all_125_2) & $i(all_125_3) & $i(all_125_4) &
% 158.77/24.82 | m2_nattra_1(all_125_4, all_88_12, all_125_3, all_125_1, all_125_0))
% 158.77/24.82 | | (u2_cat_1(all_88_12) = all_125_5 & $i(all_125_5) & ~
% 158.77/24.82 | m1_subset_1(all_88_7, all_125_5))
% 158.77/24.82 |
% 158.77/24.82 | DELTA: instantiating (62) with fresh symbols all_126_0, all_126_1, all_126_2,
% 158.77/24.82 | all_126_3, all_126_4, all_126_5 gives:
% 158.77/24.82 | (90) (k3_yoneda_1(all_88_12, all_88_7) = all_126_4 & k2_yoneda_1(all_88_12,
% 158.77/24.82 | all_126_1) = all_126_0 & k2_yoneda_1(all_88_12, all_88_6) =
% 158.77/24.82 | all_126_2 & k1_yoneda_1(all_88_12) = all_126_3 & k2_cat_1(all_88_12,
% 158.77/24.82 | all_88_7) = all_126_1 & $i(all_126_0) & $i(all_126_1) &
% 158.77/24.82 | $i(all_126_2) & $i(all_126_3) & $i(all_126_4) &
% 158.77/24.82 | m2_nattra_1(all_126_4, all_88_12, all_126_3, all_126_2, all_126_0))
% 158.77/24.82 | | (u2_cat_1(all_88_12) = all_126_5 & $i(all_126_5) & ~
% 158.77/24.82 | m1_subset_1(all_88_7, all_126_5))
% 158.77/24.82 |
% 158.77/24.82 | DELTA: instantiating (68) with fresh symbol all_127_0 gives:
% 158.77/24.82 | (91) u2_cat_1(all_88_12) = all_127_0 & $i(all_127_0) & ! [v0: $i] : !
% 158.77/24.82 | [v1: $i] : ( ~ (k2_cat_1(all_88_12, v0) = v1) | ~ $i(v0) | ~
% 158.77/24.82 | m1_subset_1(v0, all_127_0) | ? [v2: $i] : ? [v3: $i] : ? [v4: $i]
% 158.77/24.82 | : (k2_yoneda_1(all_88_12, v2) = v3 & k2_yoneda_1(all_88_12, v1) = v4
% 158.77/24.82 | & k3_cat_1(all_88_12, v0) = v2 & $i(v4) & $i(v3) & $i(v2) &
% 158.77/24.82 | r2_nattra_1(all_88_12, all_88_10, v3, v4))) & ! [v0: $i] : !
% 158.77/24.82 | [v1: $i] : ( ~ (k3_cat_1(all_88_12, v0) = v1) | ~ $i(v0) | ~
% 158.77/24.82 | m1_subset_1(v0, all_127_0) | ? [v2: $i] : ? [v3: $i] : ? [v4: $i]
% 158.77/24.82 | : (k2_yoneda_1(all_88_12, v3) = v4 & k2_yoneda_1(all_88_12, v1) = v2
% 158.77/24.82 | & k2_cat_1(all_88_12, v0) = v3 & $i(v4) & $i(v3) & $i(v2) &
% 158.77/24.82 | r2_nattra_1(all_88_12, all_88_10, v2, v4)))
% 158.77/24.82 |
% 158.77/24.82 | ALPHA: (91) implies:
% 158.77/24.82 | (92) u2_cat_1(all_88_12) = all_127_0
% 158.77/24.82 |
% 158.77/24.82 | DELTA: instantiating (56) with fresh symbol all_130_0 gives:
% 158.77/24.82 | (93) k1_yoneda_1(all_88_12) = all_130_0 & $i(all_130_0) & ! [v0: $i] : !
% 158.77/24.82 | [v1: $i] : ( ~ (k2_cat_1(all_88_12, v0) = v1) | ~ $i(v0) | ~
% 158.77/24.82 | m1_subset_1(v0, all_88_11) | ? [v2: $i] : ? [v3: $i] : ? [v4: $i]
% 158.77/24.82 | : (k2_yoneda_1(all_88_12, v2) = v3 & k2_yoneda_1(all_88_12, v1) = v4
% 158.77/24.82 | & k3_cat_1(all_88_12, v0) = v2 & $i(v4) & $i(v3) & $i(v2) &
% 158.77/24.82 | r2_nattra_1(all_88_12, all_130_0, v3, v4))) & ! [v0: $i] : !
% 158.77/24.82 | [v1: $i] : ( ~ (k3_cat_1(all_88_12, v0) = v1) | ~ $i(v0) | ~
% 158.77/24.82 | m1_subset_1(v0, all_88_11) | ? [v2: $i] : ? [v3: $i] : ? [v4: $i]
% 158.77/24.82 | : (k2_yoneda_1(all_88_12, v3) = v4 & k2_yoneda_1(all_88_12, v1) = v2
% 158.77/24.82 | & k2_cat_1(all_88_12, v0) = v3 & $i(v4) & $i(v3) & $i(v2) &
% 158.77/24.82 | r2_nattra_1(all_88_12, all_130_0, v2, v4)))
% 158.77/24.82 |
% 158.77/24.82 | ALPHA: (93) implies:
% 158.77/24.82 | (94) k1_yoneda_1(all_88_12) = all_130_0
% 158.77/24.82 | (95) ! [v0: $i] : ! [v1: $i] : ( ~ (k3_cat_1(all_88_12, v0) = v1) | ~
% 158.77/24.82 | $i(v0) | ~ m1_subset_1(v0, all_88_11) | ? [v2: $i] : ? [v3: $i] :
% 158.77/24.82 | ? [v4: $i] : (k2_yoneda_1(all_88_12, v3) = v4 &
% 158.77/24.82 | k2_yoneda_1(all_88_12, v1) = v2 & k2_cat_1(all_88_12, v0) = v3 &
% 158.77/24.82 | $i(v4) & $i(v3) & $i(v2) & r2_nattra_1(all_88_12, all_130_0, v2,
% 158.77/24.82 | v4)))
% 158.77/24.82 | (96) ! [v0: $i] : ! [v1: $i] : ( ~ (k2_cat_1(all_88_12, v0) = v1) | ~
% 158.77/24.82 | $i(v0) | ~ m1_subset_1(v0, all_88_11) | ? [v2: $i] : ? [v3: $i] :
% 158.77/24.82 | ? [v4: $i] : (k2_yoneda_1(all_88_12, v2) = v3 &
% 158.77/24.82 | k2_yoneda_1(all_88_12, v1) = v4 & k3_cat_1(all_88_12, v0) = v2 &
% 158.77/24.82 | $i(v4) & $i(v3) & $i(v2) & r2_nattra_1(all_88_12, all_130_0, v3,
% 158.77/24.82 | v4)))
% 158.77/24.82 |
% 158.77/24.82 | GROUND_INST: instantiating (95) with all_88_7, all_88_6, simplifying with
% 158.77/24.82 | (33), (36), (47) gives:
% 158.77/24.82 | (97) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (k2_yoneda_1(all_88_12, v1)
% 158.77/24.82 | = v2 & k2_yoneda_1(all_88_12, all_88_6) = v0 & k2_cat_1(all_88_12,
% 158.77/24.82 | all_88_7) = v1 & $i(v2) & $i(v1) & $i(v0) & r2_nattra_1(all_88_12,
% 158.77/24.82 | all_130_0, v0, v2))
% 158.77/24.82 |
% 158.77/24.82 | GROUND_INST: instantiating (96) with all_88_7, all_88_4, simplifying with
% 158.77/24.82 | (33), (36), (48) gives:
% 158.77/24.82 | (98) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (k2_yoneda_1(all_88_12, v0)
% 158.77/24.82 | = v1 & k2_yoneda_1(all_88_12, all_88_4) = v2 & k3_cat_1(all_88_12,
% 158.77/24.82 | all_88_7) = v0 & $i(v2) & $i(v1) & $i(v0) & r2_nattra_1(all_88_12,
% 158.77/24.82 | all_130_0, v1, v2))
% 158.77/24.82 |
% 158.77/24.82 | DELTA: instantiating (98) with fresh symbols all_133_0, all_133_1, all_133_2
% 158.77/24.82 | gives:
% 158.77/24.82 | (99) k2_yoneda_1(all_88_12, all_133_2) = all_133_1 & k2_yoneda_1(all_88_12,
% 158.77/24.82 | all_88_4) = all_133_0 & k3_cat_1(all_88_12, all_88_7) = all_133_2 &
% 158.77/24.82 | $i(all_133_0) & $i(all_133_1) & $i(all_133_2) & r2_nattra_1(all_88_12,
% 158.77/24.82 | all_130_0, all_133_1, all_133_0)
% 158.77/24.82 |
% 158.77/24.82 | ALPHA: (99) implies:
% 158.77/24.82 | (100) k3_cat_1(all_88_12, all_88_7) = all_133_2
% 158.77/24.82 | (101) k2_yoneda_1(all_88_12, all_88_4) = all_133_0
% 158.77/24.82 |
% 158.77/24.82 | DELTA: instantiating (97) with fresh symbols all_135_0, all_135_1, all_135_2
% 158.77/24.82 | gives:
% 158.77/24.82 | (102) k2_yoneda_1(all_88_12, all_135_1) = all_135_0 &
% 158.77/24.82 | k2_yoneda_1(all_88_12, all_88_6) = all_135_2 & k2_cat_1(all_88_12,
% 158.77/24.82 | all_88_7) = all_135_1 & $i(all_135_0) & $i(all_135_1) &
% 158.77/24.82 | $i(all_135_2) & r2_nattra_1(all_88_12, all_130_0, all_135_2,
% 158.77/24.82 | all_135_0)
% 158.77/24.82 |
% 158.77/24.82 | ALPHA: (102) implies:
% 158.77/24.82 | (103) r2_nattra_1(all_88_12, all_130_0, all_135_2, all_135_0)
% 158.77/24.82 | (104) k2_cat_1(all_88_12, all_88_7) = all_135_1
% 158.77/24.82 | (105) k2_yoneda_1(all_88_12, all_88_6) = all_135_2
% 158.77/24.82 | (106) k2_yoneda_1(all_88_12, all_135_1) = all_135_0
% 158.77/24.82 |
% 158.77/24.82 | GROUND_INST: instantiating (21) with all_88_11, all_127_0, all_88_12,
% 158.77/24.82 | simplifying with (43), (92) gives:
% 158.77/24.82 | (107) all_127_0 = all_88_11
% 158.77/24.82 |
% 158.77/24.82 | GROUND_INST: instantiating (22) with all_120_0, all_122_0, all_88_12,
% 158.77/24.82 | simplifying with (85), (87) gives:
% 158.77/24.82 | (108) all_122_0 = all_120_0
% 158.77/24.82 |
% 158.77/24.82 | GROUND_INST: instantiating (22) with all_118_0, all_122_0, all_88_12,
% 158.77/24.82 | simplifying with (83), (87) gives:
% 158.77/24.82 | (109) all_122_0 = all_118_0
% 158.77/24.82 |
% 158.77/24.82 | GROUND_INST: instantiating (25) with all_88_6, all_133_2, all_88_7, all_88_12,
% 158.77/24.82 | simplifying with (47), (100) gives:
% 158.77/24.82 | (110) all_133_2 = all_88_6
% 158.77/24.82 |
% 158.77/24.82 | GROUND_INST: instantiating (26) with all_88_4, all_135_1, all_88_7, all_88_12,
% 158.77/24.82 | simplifying with (48), (104) gives:
% 158.77/24.82 | (111) all_135_1 = all_88_4
% 158.77/24.82 |
% 158.77/24.82 | GROUND_INST: instantiating (23) with all_88_10, all_130_0, all_88_12,
% 158.77/24.82 | simplifying with (50), (94) gives:
% 158.77/24.82 | (112) all_130_0 = all_88_10
% 158.77/24.82 |
% 158.77/24.82 | GROUND_INST: instantiating (27) with all_88_5, all_135_2, all_88_6, all_88_12,
% 158.77/24.82 | simplifying with (51), (105) gives:
% 158.77/24.82 | (113) all_135_2 = all_88_5
% 158.77/24.82 |
% 158.77/24.82 | GROUND_INST: instantiating (27) with all_88_3, all_133_0, all_88_4, all_88_12,
% 158.77/24.82 | simplifying with (52), (101) gives:
% 158.77/24.82 | (114) all_133_0 = all_88_3
% 158.77/24.82 |
% 158.77/24.82 | GROUND_INST: instantiating (27) with all_133_0, all_135_0, all_88_4,
% 158.77/24.82 | all_88_12, simplifying with (101) gives:
% 158.77/24.82 | (115) all_135_0 = all_133_0 | ~ (k2_yoneda_1(all_88_12, all_88_4) =
% 158.77/24.82 | all_135_0)
% 158.77/24.82 |
% 158.77/24.82 | COMBINE_EQS: (108), (109) imply:
% 158.77/24.82 | (116) all_120_0 = all_118_0
% 158.77/24.82 |
% 158.77/24.82 | REDUCE: (106), (111) imply:
% 158.77/24.82 | (117) k2_yoneda_1(all_88_12, all_88_4) = all_135_0
% 158.77/24.82 |
% 158.77/24.82 | REDUCE: (103), (112), (113) imply:
% 158.77/24.82 | (118) r2_nattra_1(all_88_12, all_88_10, all_88_5, all_135_0)
% 158.77/24.82 |
% 158.77/24.82 | BETA: splitting (72) gives:
% 158.77/24.82 |
% 158.77/24.82 | Case 1:
% 158.77/24.82 | |
% 158.77/24.82 | | (119) u1_cat_1(all_88_12) = all_108_0 & $i(all_108_0) &
% 158.77/24.82 | | m1_subset_1(all_88_4, all_108_0)
% 158.77/24.82 | |
% 158.77/24.82 | | ALPHA: (119) implies:
% 158.77/24.82 | | (120) m1_subset_1(all_88_4, all_108_0)
% 158.77/24.82 | | (121) u1_cat_1(all_88_12) = all_108_0
% 158.77/24.82 | |
% 158.77/24.82 | | BETA: splitting (115) gives:
% 158.77/24.82 | |
% 158.77/24.82 | | Case 1:
% 158.77/24.82 | | |
% 158.77/24.82 | | | (122) ~ (k2_yoneda_1(all_88_12, all_88_4) = all_135_0)
% 158.77/24.82 | | |
% 158.77/24.82 | | | PRED_UNIFY: (117), (122) imply:
% 158.77/24.82 | | | (123) $false
% 158.77/24.83 | | |
% 158.77/24.83 | | | CLOSE: (123) is inconsistent.
% 158.77/24.83 | | |
% 158.77/24.83 | | Case 2:
% 158.77/24.83 | | |
% 158.77/24.83 | | | (124) all_135_0 = all_133_0
% 158.77/24.83 | | |
% 158.77/24.83 | | | COMBINE_EQS: (114), (124) imply:
% 158.77/24.83 | | | (125) all_135_0 = all_88_3
% 158.77/24.83 | | |
% 158.77/24.83 | | | REDUCE: (118), (125) imply:
% 158.77/24.83 | | | (126) r2_nattra_1(all_88_12, all_88_10, all_88_5, all_88_3)
% 158.77/24.83 | | |
% 158.77/24.83 | | | BETA: splitting (89) gives:
% 158.77/24.83 | | |
% 158.77/24.83 | | | Case 1:
% 158.77/24.83 | | | |
% 158.77/24.83 | | | | (127) k3_yoneda_1(all_88_12, all_88_7) = all_125_4 &
% 158.77/24.83 | | | | k2_yoneda_1(all_88_12, all_125_2) = all_125_1 &
% 158.77/24.83 | | | | k2_yoneda_1(all_88_12, all_88_4) = all_125_0 &
% 158.77/24.83 | | | | k1_yoneda_1(all_88_12) = all_125_3 & k3_cat_1(all_88_12,
% 158.77/24.83 | | | | all_88_7) = all_125_2 & $i(all_125_0) & $i(all_125_1) &
% 158.77/24.83 | | | | $i(all_125_2) & $i(all_125_3) & $i(all_125_4) &
% 158.77/24.83 | | | | m2_nattra_1(all_125_4, all_88_12, all_125_3, all_125_1,
% 158.77/24.83 | | | | all_125_0)
% 158.77/24.83 | | | |
% 158.77/24.83 | | | | ALPHA: (127) implies:
% 158.77/24.83 | | | | (128) $i(all_125_4)
% 158.77/24.83 | | | | (129) k3_cat_1(all_88_12, all_88_7) = all_125_2
% 158.77/24.83 | | | | (130) k1_yoneda_1(all_88_12) = all_125_3
% 158.77/24.83 | | | | (131) k3_yoneda_1(all_88_12, all_88_7) = all_125_4
% 158.77/24.83 | | | |
% 158.77/24.83 | | | | BETA: splitting (73) gives:
% 158.77/24.83 | | | |
% 158.77/24.83 | | | | Case 1:
% 158.77/24.83 | | | | |
% 158.77/24.83 | | | | | (132) u1_cat_1(all_88_12) = all_109_0 & $i(all_109_0) &
% 158.77/24.83 | | | | | m1_subset_1(all_88_6, all_109_0)
% 158.77/24.83 | | | | |
% 158.77/24.83 | | | | | ALPHA: (132) implies:
% 158.77/24.83 | | | | | (133) m1_subset_1(all_88_6, all_109_0)
% 158.77/24.83 | | | | | (134) u1_cat_1(all_88_12) = all_109_0
% 158.77/24.83 | | | | |
% 158.77/24.83 | | | | | BETA: splitting (90) gives:
% 158.77/24.83 | | | | |
% 158.77/24.83 | | | | | Case 1:
% 158.77/24.83 | | | | | |
% 158.77/24.83 | | | | | | (135) k3_yoneda_1(all_88_12, all_88_7) = all_126_4 &
% 158.77/24.83 | | | | | | k2_yoneda_1(all_88_12, all_126_1) = all_126_0 &
% 158.77/24.83 | | | | | | k2_yoneda_1(all_88_12, all_88_6) = all_126_2 &
% 158.77/24.83 | | | | | | k1_yoneda_1(all_88_12) = all_126_3 & k2_cat_1(all_88_12,
% 158.77/24.83 | | | | | | all_88_7) = all_126_1 & $i(all_126_0) & $i(all_126_1) &
% 158.77/24.83 | | | | | | $i(all_126_2) & $i(all_126_3) & $i(all_126_4) &
% 158.77/24.83 | | | | | | m2_nattra_1(all_126_4, all_88_12, all_126_3, all_126_2,
% 158.77/24.83 | | | | | | all_126_0)
% 158.77/24.83 | | | | | |
% 158.77/24.83 | | | | | | ALPHA: (135) implies:
% 158.77/24.83 | | | | | | (136) m2_nattra_1(all_126_4, all_88_12, all_126_3, all_126_2,
% 158.77/24.83 | | | | | | all_126_0)
% 158.77/24.83 | | | | | | (137) k2_cat_1(all_88_12, all_88_7) = all_126_1
% 158.77/24.83 | | | | | | (138) k1_yoneda_1(all_88_12) = all_126_3
% 158.77/24.83 | | | | | | (139) k2_yoneda_1(all_88_12, all_88_6) = all_126_2
% 158.77/24.83 | | | | | | (140) k2_yoneda_1(all_88_12, all_126_1) = all_126_0
% 158.77/24.83 | | | | | | (141) k3_yoneda_1(all_88_12, all_88_7) = all_126_4
% 158.77/24.83 | | | | | |
% 158.77/24.83 | | | | | | BETA: splitting (88) gives:
% 158.77/24.83 | | | | | |
% 158.77/24.83 | | | | | | Case 1:
% 158.77/24.83 | | | | | | |
% 158.77/24.83 | | | | | | | (142) k2_yoneda_1(all_88_12, all_124_1) = all_124_0 &
% 158.77/24.83 | | | | | | | k2_yoneda_1(all_88_12, all_124_3) = all_124_2 &
% 158.77/24.83 | | | | | | | k1_yoneda_1(all_88_12) = all_124_4 & k2_cat_1(all_88_12,
% 158.77/24.83 | | | | | | | all_88_7) = all_124_1 & k3_cat_1(all_88_12, all_88_7) =
% 158.77/24.83 | | | | | | | all_124_3 & $i(all_124_0) & $i(all_124_1) & $i(all_124_2)
% 158.77/24.83 | | | | | | | & $i(all_124_3) & $i(all_124_4) & m2_nattra_1(all_88_1,
% 158.77/24.83 | | | | | | | all_88_12, all_124_4, all_124_2, all_124_0)
% 158.77/24.83 | | | | | | |
% 158.77/24.83 | | | | | | | ALPHA: (142) implies:
% 158.77/24.83 | | | | | | | (143) $i(all_124_3)
% 158.77/24.83 | | | | | | | (144) $i(all_124_1)
% 158.77/24.83 | | | | | | | (145) k3_cat_1(all_88_12, all_88_7) = all_124_3
% 158.77/24.83 | | | | | | | (146) k2_cat_1(all_88_12, all_88_7) = all_124_1
% 158.77/24.83 | | | | | | | (147) k1_yoneda_1(all_88_12) = all_124_4
% 158.77/24.83 | | | | | | | (148) k2_yoneda_1(all_88_12, all_124_1) = all_124_0
% 158.77/24.83 | | | | | | |
% 158.77/24.83 | | | | | | | GROUND_INST: instantiating (22) with all_118_0, all_108_0,
% 158.77/24.83 | | | | | | | all_88_12, simplifying with (83), (121) gives:
% 158.77/24.83 | | | | | | | (149) all_118_0 = all_108_0
% 158.77/24.83 | | | | | | |
% 158.77/24.83 | | | | | | | GROUND_INST: instantiating (22) with all_118_0, all_109_0,
% 158.77/24.83 | | | | | | | all_88_12, simplifying with (83), (134) gives:
% 158.77/24.83 | | | | | | | (150) all_118_0 = all_109_0
% 158.77/24.83 | | | | | | |
% 158.77/24.83 | | | | | | | GROUND_INST: instantiating (25) with all_88_6, all_125_2,
% 158.77/24.83 | | | | | | | all_88_7, all_88_12, simplifying with (47), (129)
% 158.77/24.83 | | | | | | | gives:
% 158.77/24.83 | | | | | | | (151) all_125_2 = all_88_6
% 158.77/24.83 | | | | | | |
% 158.77/24.83 | | | | | | | GROUND_INST: instantiating (25) with all_124_3, all_125_2,
% 158.77/24.83 | | | | | | | all_88_7, all_88_12, simplifying with (129), (145)
% 158.77/24.83 | | | | | | | gives:
% 158.77/24.83 | | | | | | | (152) all_125_2 = all_124_3
% 158.77/24.83 | | | | | | |
% 158.77/24.83 | | | | | | | GROUND_INST: instantiating (26) with all_88_4, all_126_1,
% 158.77/24.83 | | | | | | | all_88_7, all_88_12, simplifying with (48), (137)
% 158.77/24.83 | | | | | | | gives:
% 158.77/24.83 | | | | | | | (153) all_126_1 = all_88_4
% 158.77/24.83 | | | | | | |
% 158.77/24.83 | | | | | | | GROUND_INST: instantiating (26) with all_124_1, all_126_1,
% 158.77/24.83 | | | | | | | all_88_7, all_88_12, simplifying with (137), (146)
% 158.77/24.83 | | | | | | | gives:
% 158.77/24.83 | | | | | | | (154) all_126_1 = all_124_1
% 158.77/24.83 | | | | | | |
% 158.77/24.83 | | | | | | | GROUND_INST: instantiating (23) with all_88_10, all_125_3,
% 158.77/24.83 | | | | | | | all_88_12, simplifying with (50), (130) gives:
% 158.77/24.83 | | | | | | | (155) all_125_3 = all_88_10
% 158.77/24.83 | | | | | | |
% 158.77/24.83 | | | | | | | GROUND_INST: instantiating (23) with all_125_3, all_126_3,
% 158.77/24.83 | | | | | | | all_88_12, simplifying with (130), (138) gives:
% 158.77/24.83 | | | | | | | (156) all_126_3 = all_125_3
% 158.77/24.83 | | | | | | |
% 158.77/24.83 | | | | | | | GROUND_INST: instantiating (23) with all_124_4, all_126_3,
% 158.77/24.83 | | | | | | | all_88_12, simplifying with (138), (147) gives:
% 158.77/24.83 | | | | | | | (157) all_126_3 = all_124_4
% 158.77/24.83 | | | | | | |
% 158.77/24.83 | | | | | | | GROUND_INST: instantiating (27) with all_88_5, all_126_2,
% 158.77/24.83 | | | | | | | all_88_6, all_88_12, simplifying with (51), (139)
% 158.77/24.83 | | | | | | | gives:
% 158.77/24.83 | | | | | | | (158) all_126_2 = all_88_5
% 158.77/24.83 | | | | | | |
% 158.77/24.83 | | | | | | | GROUND_INST: instantiating (27) with all_88_3, all_126_0,
% 158.77/24.83 | | | | | | | all_88_4, all_88_12, simplifying with (52) gives:
% 158.77/24.83 | | | | | | | (159) all_126_0 = all_88_3 | ~ (k2_yoneda_1(all_88_12,
% 158.77/24.83 | | | | | | | all_88_4) = all_126_0)
% 158.77/24.83 | | | | | | |
% 158.77/24.83 | | | | | | | GROUND_INST: instantiating (27) with all_124_0, all_126_0,
% 158.77/24.83 | | | | | | | all_124_1, all_88_12, simplifying with (148) gives:
% 158.77/24.83 | | | | | | | (160) all_126_0 = all_124_0 | ~ (k2_yoneda_1(all_88_12,
% 158.77/24.83 | | | | | | | all_124_1) = all_126_0)
% 158.77/24.83 | | | | | | |
% 158.77/24.83 | | | | | | | GROUND_INST: instantiating (28) with all_88_1, all_126_4,
% 158.77/24.83 | | | | | | | all_88_7, all_88_12, simplifying with (53), (141)
% 158.77/24.83 | | | | | | | gives:
% 158.77/24.83 | | | | | | | (161) all_126_4 = all_88_1
% 158.77/24.83 | | | | | | |
% 158.77/24.83 | | | | | | | GROUND_INST: instantiating (28) with all_125_4, all_126_4,
% 158.77/24.83 | | | | | | | all_88_7, all_88_12, simplifying with (131), (141)
% 158.77/24.83 | | | | | | | gives:
% 158.77/24.83 | | | | | | | (162) all_126_4 = all_125_4
% 158.77/24.83 | | | | | | |
% 158.77/24.83 | | | | | | | COMBINE_EQS: (153), (154) imply:
% 158.77/24.83 | | | | | | | (163) all_124_1 = all_88_4
% 158.77/24.83 | | | | | | |
% 158.77/24.83 | | | | | | | COMBINE_EQS: (156), (157) imply:
% 158.77/24.83 | | | | | | | (164) all_125_3 = all_124_4
% 158.77/24.83 | | | | | | |
% 158.77/24.83 | | | | | | | SIMP: (164) implies:
% 158.77/24.83 | | | | | | | (165) all_125_3 = all_124_4
% 158.77/24.83 | | | | | | |
% 158.77/24.83 | | | | | | | COMBINE_EQS: (161), (162) imply:
% 158.77/24.83 | | | | | | | (166) all_125_4 = all_88_1
% 158.77/24.83 | | | | | | |
% 158.77/24.83 | | | | | | | COMBINE_EQS: (151), (152) imply:
% 158.77/24.83 | | | | | | | (167) all_124_3 = all_88_6
% 158.77/24.83 | | | | | | |
% 158.77/24.83 | | | | | | | SIMP: (167) implies:
% 158.77/24.83 | | | | | | | (168) all_124_3 = all_88_6
% 158.77/24.83 | | | | | | |
% 158.77/24.83 | | | | | | | COMBINE_EQS: (155), (165) imply:
% 158.77/24.83 | | | | | | | (169) all_124_4 = all_88_10
% 158.77/24.83 | | | | | | |
% 158.77/24.83 | | | | | | | COMBINE_EQS: (149), (150) imply:
% 158.77/24.83 | | | | | | | (170) all_109_0 = all_108_0
% 158.77/24.83 | | | | | | |
% 158.77/24.83 | | | | | | | COMBINE_EQS: (157), (169) imply:
% 158.77/24.83 | | | | | | | (171) all_126_3 = all_88_10
% 158.77/24.83 | | | | | | |
% 158.77/24.83 | | | | | | | REDUCE: (140), (153) imply:
% 158.77/24.83 | | | | | | | (172) k2_yoneda_1(all_88_12, all_88_4) = all_126_0
% 158.77/24.83 | | | | | | |
% 158.77/24.83 | | | | | | | REDUCE: (136), (158), (161), (171) imply:
% 158.77/24.83 | | | | | | | (173) m2_nattra_1(all_88_1, all_88_12, all_88_10, all_88_5,
% 158.77/24.83 | | | | | | | all_126_0)
% 158.77/24.83 | | | | | | |
% 158.77/24.83 | | | | | | | REDUCE: (133), (170) imply:
% 158.77/24.83 | | | | | | | (174) m1_subset_1(all_88_6, all_108_0)
% 158.77/24.83 | | | | | | |
% 158.77/24.83 | | | | | | | BETA: splitting (160) gives:
% 158.77/24.83 | | | | | | |
% 158.77/24.83 | | | | | | | Case 1:
% 158.77/24.83 | | | | | | | |
% 158.77/24.83 | | | | | | | | (175) ~ (k2_yoneda_1(all_88_12, all_124_1) = all_126_0)
% 158.77/24.83 | | | | | | | |
% 158.77/24.83 | | | | | | | | REDUCE: (163), (175) imply:
% 158.77/24.83 | | | | | | | | (176) ~ (k2_yoneda_1(all_88_12, all_88_4) = all_126_0)
% 158.77/24.83 | | | | | | | |
% 158.77/24.83 | | | | | | | | PRED_UNIFY: (172), (176) imply:
% 158.77/24.83 | | | | | | | | (177) $false
% 158.77/24.83 | | | | | | | |
% 158.77/24.83 | | | | | | | | CLOSE: (177) is inconsistent.
% 158.77/24.83 | | | | | | | |
% 158.77/24.83 | | | | | | | Case 2:
% 158.77/24.83 | | | | | | | |
% 158.77/24.83 | | | | | | | | (178) all_126_0 = all_124_0
% 158.77/24.83 | | | | | | | |
% 158.77/24.83 | | | | | | | | REDUCE: (172), (178) imply:
% 158.77/24.83 | | | | | | | | (179) k2_yoneda_1(all_88_12, all_88_4) = all_124_0
% 158.77/24.83 | | | | | | | |
% 158.77/24.83 | | | | | | | | REDUCE: (173), (178) imply:
% 158.77/24.83 | | | | | | | | (180) m2_nattra_1(all_88_1, all_88_12, all_88_10, all_88_5,
% 158.77/24.83 | | | | | | | | all_124_0)
% 158.77/24.83 | | | | | | | |
% 158.77/24.83 | | | | | | | | BETA: splitting (159) gives:
% 158.77/24.83 | | | | | | | |
% 158.77/24.83 | | | | | | | | Case 1:
% 158.77/24.83 | | | | | | | | |
% 158.77/24.83 | | | | | | | | | (181) ~ (k2_yoneda_1(all_88_12, all_88_4) = all_126_0)
% 158.77/24.83 | | | | | | | | |
% 158.77/24.83 | | | | | | | | | PRED_UNIFY: (172), (181) imply:
% 158.77/24.83 | | | | | | | | | (182) $false
% 158.77/24.83 | | | | | | | | |
% 158.77/24.83 | | | | | | | | | CLOSE: (182) is inconsistent.
% 158.77/24.83 | | | | | | | | |
% 158.77/24.84 | | | | | | | | Case 2:
% 158.77/24.84 | | | | | | | | |
% 158.77/24.84 | | | | | | | | | (183) all_126_0 = all_88_3
% 158.77/24.84 | | | | | | | | |
% 158.77/24.84 | | | | | | | | | COMBINE_EQS: (178), (183) imply:
% 158.77/24.84 | | | | | | | | | (184) all_124_0 = all_88_3
% 158.77/24.84 | | | | | | | | |
% 158.77/24.84 | | | | | | | | | REDUCE: (180), (184) imply:
% 158.77/24.84 | | | | | | | | | (185) m2_nattra_1(all_88_1, all_88_12, all_88_10, all_88_5,
% 158.77/24.84 | | | | | | | | | all_88_3)
% 158.77/24.84 | | | | | | | | |
% 158.77/24.84 | | | | | | | | | BETA: splitting (74) gives:
% 158.77/24.84 | | | | | | | | |
% 158.77/24.84 | | | | | | | | | Case 1:
% 158.77/24.84 | | | | | | | | | |
% 158.77/24.84 | | | | | | | | | | (186) k1_yoneda_1(all_88_12) = all_112_0 & $i(all_112_0)
% 158.77/24.84 | | | | | | | | | | & m2_cat_1(all_88_3, all_88_12, all_112_0)
% 158.77/24.84 | | | | | | | | | |
% 158.77/24.84 | | | | | | | | | | ALPHA: (186) implies:
% 158.77/24.84 | | | | | | | | | | (187) m2_cat_1(all_88_3, all_88_12, all_112_0)
% 158.77/24.84 | | | | | | | | | | (188) $i(all_112_0)
% 158.77/24.84 | | | | | | | | | | (189) k1_yoneda_1(all_88_12) = all_112_0
% 158.77/24.84 | | | | | | | | | |
% 158.77/24.84 | | | | | | | | | | BETA: splitting (75) gives:
% 158.77/24.84 | | | | | | | | | |
% 158.77/24.84 | | | | | | | | | | Case 1:
% 158.77/24.84 | | | | | | | | | | |
% 158.77/24.84 | | | | | | | | | | | (190) k1_yoneda_1(all_88_12) = all_113_0 & $i(all_113_0)
% 158.77/24.84 | | | | | | | | | | | & m2_cat_1(all_88_5, all_88_12, all_113_0)
% 158.77/24.84 | | | | | | | | | | |
% 158.77/24.84 | | | | | | | | | | | ALPHA: (190) implies:
% 158.77/24.84 | | | | | | | | | | | (191) m2_cat_1(all_88_5, all_88_12, all_113_0)
% 158.77/24.84 | | | | | | | | | | | (192) k1_yoneda_1(all_88_12) = all_113_0
% 158.77/24.84 | | | | | | | | | | |
% 158.77/24.84 | | | | | | | | | | | GROUND_INST: instantiating (23) with all_88_10, all_113_0,
% 158.77/24.84 | | | | | | | | | | | all_88_12, simplifying with (50), (192) gives:
% 158.77/24.84 | | | | | | | | | | | (193) all_113_0 = all_88_10
% 158.77/24.84 | | | | | | | | | | |
% 158.77/24.84 | | | | | | | | | | | GROUND_INST: instantiating (23) with all_112_0, all_113_0,
% 158.77/24.84 | | | | | | | | | | | all_88_12, simplifying with (189), (192) gives:
% 158.77/24.84 | | | | | | | | | | | (194) all_113_0 = all_112_0
% 158.77/24.84 | | | | | | | | | | |
% 158.77/24.84 | | | | | | | | | | | COMBINE_EQS: (193), (194) imply:
% 158.77/24.84 | | | | | | | | | | | (195) all_112_0 = all_88_10
% 158.77/24.84 | | | | | | | | | | |
% 158.77/24.84 | | | | | | | | | | | SIMP: (195) implies:
% 158.77/24.84 | | | | | | | | | | | (196) all_112_0 = all_88_10
% 158.77/24.84 | | | | | | | | | | |
% 158.77/24.84 | | | | | | | | | | | REDUCE: (188), (196) imply:
% 158.77/24.84 | | | | | | | | | | | (197) $i(all_88_10)
% 158.77/24.84 | | | | | | | | | | |
% 158.77/24.84 | | | | | | | | | | | REDUCE: (187), (196) imply:
% 158.77/24.84 | | | | | | | | | | | (198) m2_cat_1(all_88_3, all_88_12, all_88_10)
% 158.77/24.84 | | | | | | | | | | |
% 158.77/24.84 | | | | | | | | | | | REDUCE: (191), (193) imply:
% 158.77/24.84 | | | | | | | | | | | (199) m2_cat_1(all_88_5, all_88_12, all_88_10)
% 158.77/24.84 | | | | | | | | | | |
% 158.77/24.84 | | | | | | | | | | | GROUND_INST: instantiating (9) with all_88_12, all_88_10,
% 158.77/24.84 | | | | | | | | | | | all_88_9, simplifying with (31), (32), (34), (49),
% 158.77/24.84 | | | | | | | | | | | (66), (67), (197) gives:
% 158.77/24.84 | | | | | | | | | | | (200) v1_cat_1(all_88_9)
% 158.77/24.84 | | | | | | | | | | |
% 158.77/24.84 | | | | | | | | | | | GROUND_INST: instantiating (8) with all_88_12, all_88_10,
% 158.77/24.84 | | | | | | | | | | | all_88_9, simplifying with (31), (32), (34), (49),
% 158.77/24.84 | | | | | | | | | | | (66), (67), (197) gives:
% 158.77/24.84 | | | | | | | | | | | (201) l1_cat_1(all_88_9)
% 158.77/24.84 | | | | | | | | | | |
% 158.77/24.84 | | | | | | | | | | | GROUND_INST: instantiating (7) with all_88_12, all_88_10,
% 158.77/24.84 | | | | | | | | | | | all_88_9, simplifying with (31), (32), (34), (49),
% 158.77/24.84 | | | | | | | | | | | (66), (67), (197) gives:
% 158.77/24.84 | | | | | | | | | | | (202) v2_cat_1(all_88_9)
% 158.77/24.84 | | | | | | | | | | |
% 158.77/24.84 | | | | | | | | | | | GROUND_INST: instantiating (3) with all_88_12, all_88_10,
% 158.77/24.84 | | | | | | | | | | | all_88_9, simplifying with (31), (32), (34), (49),
% 158.77/24.84 | | | | | | | | | | | (66), (67), (197) gives:
% 159.05/24.85 | | | | | | | | | | | (203) ? [v0: $i] : ? [v1: $i] : (k7_cat_2(all_88_12,
% 159.05/24.85 | | | | | | | | | | | all_88_10) = v0 & k11_nattra_1(all_88_12,
% 159.05/24.85 | | | | | | | | | | | all_88_10) = v1 & $i(v1) & $i(v0) & ! [v2:
% 159.05/24.85 | | | | | | | | | | | $i] : ! [v3: $i] : ( ~ (u1_cat_1(v2) = v3) |
% 159.05/24.85 | | | | | | | | | | | ~ $i(v2) | ~ v1_cat_1(v2) | ~ l1_cat_1(v2) |
% 159.05/24.85 | | | | | | | | | | | ~ v2_cat_1(v2) | ? [v4: $i] : ? [v5: $i] :
% 159.05/24.85 | | | | | | | | | | | ? [v6: $i] : ? [v7: $i] : ? [v8: $i] : ?
% 159.05/24.85 | | | | | | | | | | | [v9: $i] : ? [v10: $i] : ? [v11: $i] : ?
% 159.05/24.85 | | | | | | | | | | | [v12: $i] : ? [v13: $i] : ? [v14: $i] : ?
% 159.05/24.85 | | | | | | | | | | | [v15: $i] : ? [v16: $i] : ? [v17: $i] : ?
% 159.05/24.85 | | | | | | | | | | | [v18: $i] : ? [v19: $i] : ? [v20: $i] : ?
% 159.05/24.85 | | | | | | | | | | | [v21: $i] : ? [v22: $i] : ? [v23: $i] : ?
% 159.05/24.85 | | | | | | | | | | | [v24: $i] : ? [v25: $i] : ? [v26: $i] : ?
% 159.05/24.85 | | | | | | | | | | | [v27: $i] : ($i(v22) & $i(v19) & $i(v17) &
% 159.05/24.85 | | | | | | | | | | | $i(v14) & $i(v13) & $i(v9) & $i(v7) & ( ~
% 159.05/24.85 | | | | | | | | | | | (v3 = v0) | v2 = all_88_9 | (v20 = v18 &
% 159.05/24.85 | | | | | | | | | | | k1_relat_1(v5) = v6 & k13_cat_2(v2, v2,
% 159.05/24.85 | | | | | | | | | | | v19, v17) = v21 & k2_cat_1(v2, v19) =
% 159.05/24.85 | | | | | | | | | | | v18 & k3_cat_1(v2, v17) = v18 &
% 159.05/24.85 | | | | | | | | | | | u2_cat_1(v2) = v4 & u5_cat_1(v2) = v5 &
% 159.05/24.85 | | | | | | | | | | | $i(v21) & $i(v18) & $i(v6) & $i(v5) &
% 159.05/24.85 | | | | | | | | | | | $i(v4) & m1_subset_1(v19, v4) &
% 159.05/24.85 | | | | | | | | | | | m1_subset_1(v17, v4) & ~ r2_hidden(v21,
% 159.05/24.85 | | | | | | | | | | | v6)) | (v9 = v7 & ~ (v12 = v8) &
% 159.05/24.85 | | | | | | | | | | | k10_cat_1(v2, v7) = v8 &
% 159.05/24.85 | | | | | | | | | | | k7_nattra_1(all_88_12, all_88_10, v7) =
% 159.05/24.85 | | | | | | | | | | | v11 & k4_tarski(v10, v11) = v12 &
% 159.05/24.85 | | | | | | | | | | | k4_tarski(v7, v7) = v10 & $i(v12) &
% 159.05/24.85 | | | | | | | | | | | $i(v11) & $i(v10) & $i(v8) &
% 159.05/24.85 | | | | | | | | | | | m2_cat_1(v7, all_88_12, all_88_10) &
% 159.05/24.85 | | | | | | | | | | | m1_subset_1(v7, v0)) | ( ~ (v4 = v1) &
% 159.05/24.85 | | | | | | | | | | | u2_cat_1(v2) = v4 & $i(v4)) |
% 159.05/24.85 | | | | | | | | | | | (k1_relat_1(v5) = v6 & k1_funct_1(v5, v15)
% 159.05/24.85 | | | | | | | | | | | = v16 & k13_cat_2(v2, v2, v14, v13) =
% 159.05/24.85 | | | | | | | | | | | v15 & u2_cat_1(v2) = v4 & u5_cat_1(v2) =
% 159.05/24.85 | | | | | | | | | | | v5 & $i(v16) & $i(v15) & $i(v6) & $i(v5)
% 159.05/24.85 | | | | | | | | | | | & $i(v4) & r2_hidden(v15, v6) &
% 159.05/24.85 | | | | | | | | | | | m1_subset_1(v14, v4) & m1_subset_1(v13,
% 159.05/24.85 | | | | | | | | | | | v4) & ! [v28: $i] : ! [v29: $i] : !
% 159.05/24.85 | | | | | | | | | | | [v30: $i] : ! [v31: $i] : ! [v32: $i]
% 159.05/24.85 | | | | | | | | | | | : ( ~ (k4_tarski(v29, v31) = v32) | ~
% 159.05/24.85 | | | | | | | | | | | (k4_tarski(v28, v29) = v30) | ~
% 159.05/24.85 | | | | | | | | | | | $i(v31) | ~ $i(v29) | ~ $i(v28) | ~
% 159.05/24.85 | | | | | | | | | | | m2_cat_1(v31, all_88_12, all_88_10) |
% 159.05/24.85 | | | | | | | | | | | ~ m2_cat_1(v29, all_88_12, all_88_10)
% 159.05/24.85 | | | | | | | | | | | | ~ m2_cat_1(v28, all_88_12,
% 159.05/24.85 | | | | | | | | | | | all_88_10) | ? [v33: $i] :
% 159.05/24.85 | | | | | | | | | | | (k4_tarski(v28, v31) = v33 & $i(v33) &
% 159.05/24.85 | | | | | | | | | | | ! [v34: $i] : ! [v35: $i] : !
% 159.05/24.85 | | | | | | | | | | | [v36: $i] : ( ~
% 159.05/24.85 | | | | | | | | | | | (k8_nattra_1(all_88_12, all_88_10,
% 159.05/24.85 | | | | | | | | | | | v28, v29, v31, v34, v35) =
% 159.05/24.85 | | | | | | | | | | | v36) | ~ (k4_tarski(v30, v34) =
% 159.05/24.85 | | | | | | | | | | | v13) | ~ $i(v35) | ~ $i(v34) |
% 159.05/24.85 | | | | | | | | | | | ~ m2_nattra_1(v35, all_88_12,
% 159.05/24.85 | | | | | | | | | | | all_88_10, v29, v31) | ~
% 159.05/24.85 | | | | | | | | | | | m2_nattra_1(v34, all_88_12,
% 159.05/24.85 | | | | | | | | | | | all_88_10, v28, v29) | ? [v37:
% 159.05/24.85 | | | | | | | | | | | $i] : ? [v38: $i] : (( ~ (v38 =
% 159.05/24.85 | | | | | | | | | | | v16) & k4_tarski(v33, v36) =
% 159.05/24.85 | | | | | | | | | | | v38 & $i(v38)) | ( ~ (v37 =
% 159.05/24.85 | | | | | | | | | | | v14) & k4_tarski(v32, v35) =
% 159.05/24.85 | | | | | | | | | | | v37 & $i(v37)))) & ! [v34:
% 159.05/24.85 | | | | | | | | | | | $i] : ! [v35: $i] : ( ~
% 159.05/24.85 | | | | | | | | | | | (k4_tarski(v32, v35) = v14) | ~
% 159.05/24.85 | | | | | | | | | | | (k4_tarski(v30, v34) = v13) | ~
% 159.05/24.85 | | | | | | | | | | | $i(v35) | ~ $i(v34) | ~
% 159.05/24.85 | | | | | | | | | | | m2_nattra_1(v35, all_88_12,
% 159.05/24.85 | | | | | | | | | | | all_88_10, v29, v31) | ~
% 159.05/24.85 | | | | | | | | | | | m2_nattra_1(v34, all_88_12,
% 159.05/24.85 | | | | | | | | | | | all_88_10, v28, v29) | ? [v36:
% 159.05/24.85 | | | | | | | | | | | $i] : ? [v37: $i] : ( ~ (v37 =
% 159.05/24.85 | | | | | | | | | | | v16) & k8_nattra_1(all_88_12,
% 159.05/24.85 | | | | | | | | | | | all_88_10, v28, v29, v31, v34,
% 159.05/24.85 | | | | | | | | | | | v35) = v36 & k4_tarski(v33,
% 159.05/24.85 | | | | | | | | | | | v36) = v37 & $i(v37) &
% 159.05/24.85 | | | | | | | | | | | $i(v36))))) & ! [v28: $i] : !
% 159.05/24.85 | | | | | | | | | | | [v29: $i] : ! [v30: $i] : ! [v31: $i]
% 159.05/24.85 | | | | | | | | | | | : ! [v32: $i] : ( ~ (k4_tarski(v28,
% 159.05/24.85 | | | | | | | | | | | v31) = v32) | ~ (k4_tarski(v28,
% 159.05/24.85 | | | | | | | | | | | v29) = v30) | ~ $i(v31) | ~
% 159.05/24.85 | | | | | | | | | | | $i(v29) | ~ $i(v28) | ~
% 159.05/24.85 | | | | | | | | | | | m2_cat_1(v31, all_88_12, all_88_10) |
% 159.05/24.85 | | | | | | | | | | | ~ m2_cat_1(v29, all_88_12, all_88_10)
% 159.05/24.85 | | | | | | | | | | | | ~ m2_cat_1(v28, all_88_12,
% 159.05/24.85 | | | | | | | | | | | all_88_10) | ? [v33: $i] :
% 159.05/24.85 | | | | | | | | | | | (k4_tarski(v29, v31) = v33 & $i(v33) &
% 159.05/24.85 | | | | | | | | | | | ! [v34: $i] : ! [v35: $i] : !
% 159.05/24.85 | | | | | | | | | | | [v36: $i] : ( ~
% 159.05/24.85 | | | | | | | | | | | (k8_nattra_1(all_88_12, all_88_10,
% 159.05/24.85 | | | | | | | | | | | v28, v29, v31, v34, v35) =
% 159.05/24.85 | | | | | | | | | | | v36) | ~ (k4_tarski(v30, v34) =
% 159.05/24.85 | | | | | | | | | | | v13) | ~ $i(v35) | ~ $i(v34) |
% 159.05/24.85 | | | | | | | | | | | ~ m2_nattra_1(v35, all_88_12,
% 159.05/24.85 | | | | | | | | | | | all_88_10, v29, v31) | ~
% 159.05/24.85 | | | | | | | | | | | m2_nattra_1(v34, all_88_12,
% 159.05/24.85 | | | | | | | | | | | all_88_10, v28, v29) | ? [v37:
% 159.05/24.85 | | | | | | | | | | | $i] : ? [v38: $i] : (( ~ (v38 =
% 159.05/24.85 | | | | | | | | | | | v16) & k4_tarski(v32, v36) =
% 159.05/24.85 | | | | | | | | | | | v38 & $i(v38)) | ( ~ (v37 =
% 159.05/24.85 | | | | | | | | | | | v14) & k4_tarski(v33, v35) =
% 159.05/24.85 | | | | | | | | | | | v37 & $i(v37)))) & ! [v34:
% 159.05/24.85 | | | | | | | | | | | $i] : ! [v35: $i] : ( ~
% 159.05/24.85 | | | | | | | | | | | (k4_tarski(v33, v35) = v14) | ~
% 159.05/24.85 | | | | | | | | | | | (k4_tarski(v30, v34) = v13) | ~
% 159.05/24.85 | | | | | | | | | | | $i(v35) | ~ $i(v34) | ~
% 159.05/24.85 | | | | | | | | | | | m2_nattra_1(v35, all_88_12,
% 159.05/24.85 | | | | | | | | | | | all_88_10, v29, v31) | ~
% 159.05/24.85 | | | | | | | | | | | m2_nattra_1(v34, all_88_12,
% 159.05/24.85 | | | | | | | | | | | all_88_10, v28, v29) | ? [v36:
% 159.05/24.85 | | | | | | | | | | | $i] : ? [v37: $i] : ( ~ (v37 =
% 159.05/24.85 | | | | | | | | | | | v16) & k8_nattra_1(all_88_12,
% 159.05/24.85 | | | | | | | | | | | all_88_10, v28, v29, v31, v34,
% 159.05/24.85 | | | | | | | | | | | v35) = v36 & k4_tarski(v32,
% 159.05/24.85 | | | | | | | | | | | v36) = v37 & $i(v37) &
% 159.05/24.85 | | | | | | | | | | | $i(v36)))))) | (k1_mcart_1(v22)
% 159.05/24.85 | | | | | | | | | | | = v24 & u2_cat_1(v2) = v4 & $i(v24) &
% 159.05/24.85 | | | | | | | | | | | $i(v4) & m1_subset_1(v22, v4) & (( ~
% 159.05/24.85 | | | | | | | | | | | (v27 = v26) & k3_cat_1(v2, v22) =
% 159.05/24.85 | | | | | | | | | | | v26 & k2_mcart_1(v24) = v27 &
% 159.05/24.85 | | | | | | | | | | | $i(v27) & $i(v26)) | ( ~ (v25 = v23)
% 159.05/24.85 | | | | | | | | | | | & k2_cat_1(v2, v22) = v23 &
% 159.05/24.85 | | | | | | | | | | | k1_mcart_1(v24) = v25 & $i(v25) &
% 159.05/24.85 | | | | | | | | | | | $i(v23))))) & ( ~ (v2 = all_88_9) |
% 159.05/24.85 | | | | | | | | | | | (v4 = v1 & v3 = v0 & k1_relat_1(v5) = v6 &
% 159.05/24.85 | | | | | | | | | | | u2_cat_1(all_88_9) = v1 &
% 159.05/24.85 | | | | | | | | | | | u5_cat_1(all_88_9) = v5 & $i(v6) &
% 159.05/24.85 | | | | | | | | | | | $i(v5) & ! [v28: $i] : ! [v29: $i] :
% 159.05/24.85 | | | | | | | | | | | ! [v30: $i] : ! [v31: $i] : ( ~
% 159.05/24.85 | | | | | | | | | | | (k13_cat_2(all_88_9, all_88_9, v30,
% 159.05/24.85 | | | | | | | | | | | v28) = v31) | ~
% 159.05/24.85 | | | | | | | | | | | (k3_cat_1(all_88_9, v28) = v29) | ~
% 159.05/24.85 | | | | | | | | | | | $i(v30) | ~ $i(v28) | ~
% 159.05/24.85 | | | | | | | | | | | m1_subset_1(v30, v1) | ~
% 159.05/24.85 | | | | | | | | | | | m1_subset_1(v28, v1) | r2_hidden(v31,
% 159.05/24.85 | | | | | | | | | | | v6) | ? [v32: $i] : ( ~ (v32 = v29)
% 159.05/24.85 | | | | | | | | | | | & k2_cat_1(all_88_9, v30) = v32 &
% 159.05/24.85 | | | | | | | | | | | $i(v32))) & ! [v28: $i] : ! [v29:
% 159.05/24.85 | | | | | | | | | | | $i] : ! [v30: $i] : ( ~
% 159.05/24.85 | | | | | | | | | | | (k10_cat_1(all_88_9, v28) = v29) | ~
% 159.05/24.85 | | | | | | | | | | | (k7_nattra_1(all_88_12, all_88_10,
% 159.05/24.85 | | | | | | | | | | | v28) = v30) | ~ $i(v28) | ~
% 159.05/24.85 | | | | | | | | | | | m2_cat_1(v28, all_88_12, all_88_10) |
% 159.05/24.85 | | | | | | | | | | | ~ m1_subset_1(v28, v0) | ? [v31: $i]
% 159.05/24.85 | | | | | | | | | | | : (k4_tarski(v31, v30) = v29 &
% 159.05/24.85 | | | | | | | | | | | k4_tarski(v28, v28) = v31 & $i(v31)
% 159.05/24.85 | | | | | | | | | | | & $i(v29))) & ! [v28: $i] : !
% 159.05/24.85 | | | | | | | | | | | [v29: $i] : ! [v30: $i] : ( ~
% 159.05/24.85 | | | | | | | | | | | (k10_cat_1(all_88_9, v28) = v29) | ~
% 159.05/24.85 | | | | | | | | | | | (k4_tarski(v28, v28) = v30) | ~
% 159.05/24.85 | | | | | | | | | | | $i(v28) | ~ m2_cat_1(v28, all_88_12,
% 159.05/24.85 | | | | | | | | | | | all_88_10) | ~ m1_subset_1(v28, v0)
% 159.05/24.85 | | | | | | | | | | | | ? [v31: $i] :
% 159.05/24.85 | | | | | | | | | | | (k7_nattra_1(all_88_12, all_88_10,
% 159.05/24.85 | | | | | | | | | | | v28) = v31 & k4_tarski(v30, v31) =
% 159.05/24.85 | | | | | | | | | | | v29 & $i(v31) & $i(v29))) & ! [v28:
% 159.05/24.85 | | | | | | | | | | | $i] : ! [v29: $i] : ! [v30: $i] : (
% 159.05/24.85 | | | | | | | | | | | ~ (k13_cat_2(all_88_9, all_88_9, v29,
% 159.05/24.85 | | | | | | | | | | | v28) = v30) | ~ $i(v29) | ~
% 159.05/24.85 | | | | | | | | | | | $i(v28) | ~ r2_hidden(v30, v6) | ~
% 159.05/24.85 | | | | | | | | | | | m1_subset_1(v29, v1) | ~
% 159.05/24.85 | | | | | | | | | | | m1_subset_1(v28, v1) | ? [v31: $i] :
% 159.05/24.85 | | | | | | | | | | | ? [v32: $i] : ? [v33: $i] : ? [v34:
% 159.05/24.85 | | | | | | | | | | | $i] : ? [v35: $i] : ? [v36: $i] :
% 159.05/24.85 | | | | | | | | | | | ? [v37: $i] : ? [v38: $i] : ? [v39:
% 159.05/24.85 | | | | | | | | | | | $i] : ? [v40: $i] : (k1_funct_1(v5,
% 159.05/24.85 | | | | | | | | | | | v30) = v31 &
% 159.05/24.85 | | | | | | | | | | | k8_nattra_1(all_88_12, all_88_10,
% 159.05/24.85 | | | | | | | | | | | v32, v33, v35, v38, v39) = v40 &
% 159.05/24.85 | | | | | | | | | | | k4_tarski(v37, v40) = v31 &
% 159.05/24.85 | | | | | | | | | | | k4_tarski(v36, v39) = v29 &
% 159.05/24.85 | | | | | | | | | | | k4_tarski(v34, v38) = v28 &
% 159.05/24.85 | | | | | | | | | | | k4_tarski(v33, v35) = v36 &
% 159.05/24.85 | | | | | | | | | | | k4_tarski(v32, v35) = v37 &
% 159.05/24.85 | | | | | | | | | | | k4_tarski(v32, v33) = v34 & $i(v40)
% 159.05/24.85 | | | | | | | | | | | & $i(v39) & $i(v38) & $i(v37) &
% 159.05/24.85 | | | | | | | | | | | $i(v36) & $i(v35) & $i(v34) &
% 159.05/24.85 | | | | | | | | | | | $i(v33) & $i(v32) & $i(v31) &
% 159.05/24.85 | | | | | | | | | | | m2_nattra_1(v39, all_88_12,
% 159.05/24.85 | | | | | | | | | | | all_88_10, v33, v35) &
% 159.05/24.85 | | | | | | | | | | | m2_nattra_1(v38, all_88_12,
% 159.05/24.85 | | | | | | | | | | | all_88_10, v32, v33) &
% 159.05/24.85 | | | | | | | | | | | m2_cat_1(v35, all_88_12, all_88_10)
% 159.05/24.85 | | | | | | | | | | | & m2_cat_1(v33, all_88_12,
% 159.05/24.85 | | | | | | | | | | | all_88_10) & m2_cat_1(v32,
% 159.05/24.85 | | | | | | | | | | | all_88_12, all_88_10))) & ! [v28:
% 159.05/24.85 | | | | | | | | | | | $i] : ! [v29: $i] : ! [v30: $i] : (
% 159.05/24.85 | | | | | | | | | | | ~ (k2_cat_1(all_88_9, v30) = v29) | ~
% 159.05/24.85 | | | | | | | | | | | (k3_cat_1(all_88_9, v28) = v29) | ~
% 159.05/24.85 | | | | | | | | | | | $i(v30) | ~ $i(v28) | ~
% 159.05/24.85 | | | | | | | | | | | m1_subset_1(v30, v1) | ~
% 159.05/24.85 | | | | | | | | | | | m1_subset_1(v28, v1) | ? [v31: $i] :
% 159.05/24.85 | | | | | | | | | | | (k13_cat_2(all_88_9, all_88_9, v30,
% 159.05/24.85 | | | | | | | | | | | v28) = v31 & $i(v31) &
% 159.05/24.85 | | | | | | | | | | | r2_hidden(v31, v6))) & ! [v28: $i]
% 159.05/24.85 | | | | | | | | | | | : ! [v29: $i] : ( ~ (k2_cat_1(all_88_9,
% 159.05/24.85 | | | | | | | | | | | v28) = v29) | ~ $i(v28) | ~
% 159.05/24.85 | | | | | | | | | | | m1_subset_1(v28, v1) | ? [v30: $i] :
% 159.05/24.85 | | | | | | | | | | | ? [v31: $i] : (k1_mcart_1(v30) = v29 &
% 159.05/24.85 | | | | | | | | | | | k1_mcart_1(v28) = v30 &
% 159.05/24.85 | | | | | | | | | | | k3_cat_1(all_88_9, v28) = v31 &
% 159.05/24.85 | | | | | | | | | | | k2_mcart_1(v30) = v31 & $i(v31) &
% 159.05/24.85 | | | | | | | | | | | $i(v30) & $i(v29))) & ! [v28: $i] :
% 159.05/24.85 | | | | | | | | | | | ! [v29: $i] : ( ~ (k1_mcart_1(v28) =
% 159.05/24.85 | | | | | | | | | | | v29) | ~ $i(v28) | ~
% 159.05/24.85 | | | | | | | | | | | m1_subset_1(v28, v1) | ? [v30: $i] :
% 159.05/24.85 | | | | | | | | | | | ? [v31: $i] : (k2_cat_1(all_88_9, v28)
% 159.05/24.85 | | | | | | | | | | | = v30 & k1_mcart_1(v29) = v30 &
% 159.05/24.85 | | | | | | | | | | | k3_cat_1(all_88_9, v28) = v31 &
% 159.05/24.85 | | | | | | | | | | | k2_mcart_1(v29) = v31 & $i(v31) &
% 159.05/24.85 | | | | | | | | | | | $i(v30))) & ! [v28: $i] : ! [v29:
% 159.05/24.85 | | | | | | | | | | | $i] : ( ~ (k3_cat_1(all_88_9, v28) =
% 159.05/24.85 | | | | | | | | | | | v29) | ~ $i(v28) | ~
% 159.05/24.85 | | | | | | | | | | | m1_subset_1(v28, v1) | ? [v30: $i] :
% 159.05/24.85 | | | | | | | | | | | ? [v31: $i] : (k2_cat_1(all_88_9, v28)
% 159.05/24.85 | | | | | | | | | | | = v30 & k1_mcart_1(v31) = v30 &
% 159.05/24.85 | | | | | | | | | | | k1_mcart_1(v28) = v31 &
% 159.05/24.85 | | | | | | | | | | | k2_mcart_1(v31) = v29 & $i(v31) &
% 159.05/24.85 | | | | | | | | | | | $i(v30) & $i(v29))))))) & ! [v2:
% 159.05/24.85 | | | | | | | | | | | $i] : ! [v3: $i] : ( ~ (u2_cat_1(v2) = v3) |
% 159.05/24.85 | | | | | | | | | | | ~ $i(v2) | ~ v1_cat_1(v2) | ~ l1_cat_1(v2) |
% 159.05/24.85 | | | | | | | | | | | ~ v2_cat_1(v2) | ? [v4: $i] : ? [v5: $i] :
% 159.05/24.85 | | | | | | | | | | | ? [v6: $i] : ? [v7: $i] : ? [v8: $i] : ?
% 159.05/24.85 | | | | | | | | | | | [v9: $i] : ? [v10: $i] : ? [v11: $i] : ?
% 159.05/24.85 | | | | | | | | | | | [v12: $i] : ? [v13: $i] : ? [v14: $i] : ?
% 159.05/24.85 | | | | | | | | | | | [v15: $i] : ? [v16: $i] : ? [v17: $i] : ?
% 159.05/24.85 | | | | | | | | | | | [v18: $i] : ? [v19: $i] : ? [v20: $i] : ?
% 159.05/24.85 | | | | | | | | | | | [v21: $i] : ? [v22: $i] : ? [v23: $i] : ?
% 159.05/24.85 | | | | | | | | | | | [v24: $i] : ? [v25: $i] : ? [v26: $i] : ?
% 159.05/24.85 | | | | | | | | | | | [v27: $i] : ($i(v22) & $i(v19) & $i(v17) &
% 159.05/24.85 | | | | | | | | | | | $i(v14) & $i(v13) & $i(v9) & $i(v7) & ( ~
% 159.05/24.85 | | | | | | | | | | | (v3 = v1) | v2 = all_88_9 | (v20 = v18 &
% 159.05/24.85 | | | | | | | | | | | k1_relat_1(v5) = v6 & k13_cat_2(v2, v2,
% 159.05/24.85 | | | | | | | | | | | v19, v17) = v21 & k2_cat_1(v2, v19) =
% 159.05/24.85 | | | | | | | | | | | v18 & k3_cat_1(v2, v17) = v18 &
% 159.05/24.85 | | | | | | | | | | | u5_cat_1(v2) = v5 & $i(v21) & $i(v18) &
% 159.05/24.85 | | | | | | | | | | | $i(v6) & $i(v5) & m1_subset_1(v19, v1) &
% 159.05/24.85 | | | | | | | | | | | m1_subset_1(v17, v1) & ~ r2_hidden(v21,
% 159.05/24.85 | | | | | | | | | | | v6)) | (v9 = v7 & ~ (v12 = v8) &
% 159.05/24.85 | | | | | | | | | | | k10_cat_1(v2, v7) = v8 &
% 159.05/24.85 | | | | | | | | | | | k7_nattra_1(all_88_12, all_88_10, v7) =
% 159.05/24.85 | | | | | | | | | | | v11 & k4_tarski(v10, v11) = v12 &
% 159.05/24.85 | | | | | | | | | | | k4_tarski(v7, v7) = v10 & u1_cat_1(v2) =
% 159.05/24.85 | | | | | | | | | | | v4 & $i(v12) & $i(v11) & $i(v10) &
% 159.05/24.85 | | | | | | | | | | | $i(v8) & $i(v4) & m2_cat_1(v7,
% 159.05/24.85 | | | | | | | | | | | all_88_12, all_88_10) &
% 159.05/24.85 | | | | | | | | | | | m1_subset_1(v7, v4)) | ( ~ (v4 = v0) &
% 159.05/24.85 | | | | | | | | | | | u1_cat_1(v2) = v4 & $i(v4)) |
% 159.05/24.85 | | | | | | | | | | | (k1_relat_1(v5) = v6 & k1_funct_1(v5, v15)
% 159.05/24.85 | | | | | | | | | | | = v16 & k13_cat_2(v2, v2, v14, v13) =
% 159.05/24.85 | | | | | | | | | | | v15 & u5_cat_1(v2) = v5 & $i(v16) &
% 159.05/24.85 | | | | | | | | | | | $i(v15) & $i(v6) & $i(v5) &
% 159.05/24.85 | | | | | | | | | | | r2_hidden(v15, v6) & m1_subset_1(v14,
% 159.05/24.85 | | | | | | | | | | | v1) & m1_subset_1(v13, v1) & ! [v28:
% 159.05/24.85 | | | | | | | | | | | $i] : ! [v29: $i] : ! [v30: $i] : !
% 159.05/24.85 | | | | | | | | | | | [v31: $i] : ! [v32: $i] : ( ~
% 159.05/24.85 | | | | | | | | | | | (k4_tarski(v29, v31) = v32) | ~
% 159.05/24.85 | | | | | | | | | | | (k4_tarski(v28, v29) = v30) | ~
% 159.05/24.85 | | | | | | | | | | | $i(v31) | ~ $i(v29) | ~ $i(v28) | ~
% 159.05/24.85 | | | | | | | | | | | m2_cat_1(v31, all_88_12, all_88_10) |
% 159.05/24.85 | | | | | | | | | | | ~ m2_cat_1(v29, all_88_12, all_88_10)
% 159.05/24.85 | | | | | | | | | | | | ~ m2_cat_1(v28, all_88_12,
% 159.05/24.85 | | | | | | | | | | | all_88_10) | ? [v33: $i] :
% 159.05/24.85 | | | | | | | | | | | (k4_tarski(v28, v31) = v33 & $i(v33) &
% 159.05/24.85 | | | | | | | | | | | ! [v34: $i] : ! [v35: $i] : !
% 159.05/24.85 | | | | | | | | | | | [v36: $i] : ( ~
% 159.05/24.85 | | | | | | | | | | | (k8_nattra_1(all_88_12, all_88_10,
% 159.05/24.85 | | | | | | | | | | | v28, v29, v31, v34, v35) =
% 159.05/24.85 | | | | | | | | | | | v36) | ~ (k4_tarski(v30, v34) =
% 159.05/24.85 | | | | | | | | | | | v13) | ~ $i(v35) | ~ $i(v34) |
% 159.05/24.85 | | | | | | | | | | | ~ m2_nattra_1(v35, all_88_12,
% 159.05/24.85 | | | | | | | | | | | all_88_10, v29, v31) | ~
% 159.05/24.85 | | | | | | | | | | | m2_nattra_1(v34, all_88_12,
% 159.05/24.85 | | | | | | | | | | | all_88_10, v28, v29) | ? [v37:
% 159.05/24.85 | | | | | | | | | | | $i] : ? [v38: $i] : (( ~ (v38 =
% 159.05/24.85 | | | | | | | | | | | v16) & k4_tarski(v33, v36) =
% 159.05/24.85 | | | | | | | | | | | v38 & $i(v38)) | ( ~ (v37 =
% 159.05/24.85 | | | | | | | | | | | v14) & k4_tarski(v32, v35) =
% 159.05/24.85 | | | | | | | | | | | v37 & $i(v37)))) & ! [v34:
% 159.05/24.85 | | | | | | | | | | | $i] : ! [v35: $i] : ( ~
% 159.05/24.85 | | | | | | | | | | | (k4_tarski(v32, v35) = v14) | ~
% 159.05/24.85 | | | | | | | | | | | (k4_tarski(v30, v34) = v13) | ~
% 159.05/24.85 | | | | | | | | | | | $i(v35) | ~ $i(v34) | ~
% 159.05/24.85 | | | | | | | | | | | m2_nattra_1(v35, all_88_12,
% 159.05/24.85 | | | | | | | | | | | all_88_10, v29, v31) | ~
% 159.05/24.85 | | | | | | | | | | | m2_nattra_1(v34, all_88_12,
% 159.05/24.85 | | | | | | | | | | | all_88_10, v28, v29) | ? [v36:
% 159.05/24.85 | | | | | | | | | | | $i] : ? [v37: $i] : ( ~ (v37 =
% 159.05/24.85 | | | | | | | | | | | v16) & k8_nattra_1(all_88_12,
% 159.05/24.85 | | | | | | | | | | | all_88_10, v28, v29, v31, v34,
% 159.05/24.85 | | | | | | | | | | | v35) = v36 & k4_tarski(v33,
% 159.05/24.85 | | | | | | | | | | | v36) = v37 & $i(v37) &
% 159.05/24.85 | | | | | | | | | | | $i(v36))))) & ! [v28: $i] : !
% 159.05/24.85 | | | | | | | | | | | [v29: $i] : ! [v30: $i] : ! [v31: $i]
% 159.05/24.85 | | | | | | | | | | | : ! [v32: $i] : ( ~ (k4_tarski(v28,
% 159.05/24.85 | | | | | | | | | | | v31) = v32) | ~ (k4_tarski(v28,
% 159.05/24.85 | | | | | | | | | | | v29) = v30) | ~ $i(v31) | ~
% 159.05/24.85 | | | | | | | | | | | $i(v29) | ~ $i(v28) | ~
% 159.05/24.85 | | | | | | | | | | | m2_cat_1(v31, all_88_12, all_88_10) |
% 159.05/24.85 | | | | | | | | | | | ~ m2_cat_1(v29, all_88_12, all_88_10)
% 159.05/24.85 | | | | | | | | | | | | ~ m2_cat_1(v28, all_88_12,
% 159.05/24.85 | | | | | | | | | | | all_88_10) | ? [v33: $i] :
% 159.05/24.85 | | | | | | | | | | | (k4_tarski(v29, v31) = v33 & $i(v33) &
% 159.05/24.85 | | | | | | | | | | | ! [v34: $i] : ! [v35: $i] : !
% 159.05/24.85 | | | | | | | | | | | [v36: $i] : ( ~
% 159.05/24.85 | | | | | | | | | | | (k8_nattra_1(all_88_12, all_88_10,
% 159.05/24.85 | | | | | | | | | | | v28, v29, v31, v34, v35) =
% 159.05/24.85 | | | | | | | | | | | v36) | ~ (k4_tarski(v30, v34) =
% 159.05/24.85 | | | | | | | | | | | v13) | ~ $i(v35) | ~ $i(v34) |
% 159.05/24.85 | | | | | | | | | | | ~ m2_nattra_1(v35, all_88_12,
% 159.05/24.85 | | | | | | | | | | | all_88_10, v29, v31) | ~
% 159.05/24.85 | | | | | | | | | | | m2_nattra_1(v34, all_88_12,
% 159.05/24.85 | | | | | | | | | | | all_88_10, v28, v29) | ? [v37:
% 159.05/24.85 | | | | | | | | | | | $i] : ? [v38: $i] : (( ~ (v38 =
% 159.05/24.85 | | | | | | | | | | | v16) & k4_tarski(v32, v36) =
% 159.05/24.85 | | | | | | | | | | | v38 & $i(v38)) | ( ~ (v37 =
% 159.05/24.85 | | | | | | | | | | | v14) & k4_tarski(v33, v35) =
% 159.05/24.85 | | | | | | | | | | | v37 & $i(v37)))) & ! [v34:
% 159.05/24.85 | | | | | | | | | | | $i] : ! [v35: $i] : ( ~
% 159.05/24.85 | | | | | | | | | | | (k4_tarski(v33, v35) = v14) | ~
% 159.05/24.85 | | | | | | | | | | | (k4_tarski(v30, v34) = v13) | ~
% 159.05/24.85 | | | | | | | | | | | $i(v35) | ~ $i(v34) | ~
% 159.05/24.85 | | | | | | | | | | | m2_nattra_1(v35, all_88_12,
% 159.05/24.85 | | | | | | | | | | | all_88_10, v29, v31) | ~
% 159.05/24.85 | | | | | | | | | | | m2_nattra_1(v34, all_88_12,
% 159.05/24.85 | | | | | | | | | | | all_88_10, v28, v29) | ? [v36:
% 159.05/24.85 | | | | | | | | | | | $i] : ? [v37: $i] : ( ~ (v37 =
% 159.05/24.85 | | | | | | | | | | | v16) & k8_nattra_1(all_88_12,
% 159.05/24.85 | | | | | | | | | | | all_88_10, v28, v29, v31, v34,
% 159.05/24.85 | | | | | | | | | | | v35) = v36 & k4_tarski(v32,
% 159.05/24.85 | | | | | | | | | | | v36) = v37 & $i(v37) &
% 159.05/24.85 | | | | | | | | | | | $i(v36)))))) | (k1_mcart_1(v22)
% 159.05/24.85 | | | | | | | | | | | = v24 & $i(v24) & m1_subset_1(v22, v1) &
% 159.05/24.85 | | | | | | | | | | | (( ~ (v27 = v26) & k3_cat_1(v2, v22) =
% 159.05/24.85 | | | | | | | | | | | v26 & k2_mcart_1(v24) = v27 &
% 159.05/24.85 | | | | | | | | | | | $i(v27) & $i(v26)) | ( ~ (v25 = v23)
% 159.05/24.85 | | | | | | | | | | | & k2_cat_1(v2, v22) = v23 &
% 159.05/24.85 | | | | | | | | | | | k1_mcart_1(v24) = v25 & $i(v25) &
% 159.05/24.85 | | | | | | | | | | | $i(v23))))) & ( ~ (v2 = all_88_9) |
% 159.05/24.85 | | | | | | | | | | | (v4 = v0 & v3 = v1 & k1_relat_1(v5) = v6 &
% 159.05/24.85 | | | | | | | | | | | u1_cat_1(all_88_9) = v0 &
% 159.05/24.85 | | | | | | | | | | | u5_cat_1(all_88_9) = v5 & $i(v6) &
% 159.05/24.85 | | | | | | | | | | | $i(v5) & ! [v28: $i] : ! [v29: $i] :
% 159.05/24.85 | | | | | | | | | | | ! [v30: $i] : ! [v31: $i] : ( ~
% 159.05/24.85 | | | | | | | | | | | (k13_cat_2(all_88_9, all_88_9, v30,
% 159.05/24.85 | | | | | | | | | | | v28) = v31) | ~
% 159.05/24.85 | | | | | | | | | | | (k3_cat_1(all_88_9, v28) = v29) | ~
% 159.05/24.85 | | | | | | | | | | | $i(v30) | ~ $i(v28) | ~
% 159.05/24.85 | | | | | | | | | | | m1_subset_1(v30, v1) | ~
% 159.05/24.85 | | | | | | | | | | | m1_subset_1(v28, v1) | r2_hidden(v31,
% 159.05/24.85 | | | | | | | | | | | v6) | ? [v32: $i] : ( ~ (v32 = v29)
% 159.05/24.85 | | | | | | | | | | | & k2_cat_1(all_88_9, v30) = v32 &
% 159.05/24.85 | | | | | | | | | | | $i(v32))) & ! [v28: $i] : ! [v29:
% 159.05/24.85 | | | | | | | | | | | $i] : ! [v30: $i] : ( ~
% 159.05/24.85 | | | | | | | | | | | (k10_cat_1(all_88_9, v28) = v29) | ~
% 159.05/24.85 | | | | | | | | | | | (k7_nattra_1(all_88_12, all_88_10,
% 159.05/24.85 | | | | | | | | | | | v28) = v30) | ~ $i(v28) | ~
% 159.05/24.85 | | | | | | | | | | | m2_cat_1(v28, all_88_12, all_88_10) |
% 159.05/24.85 | | | | | | | | | | | ~ m1_subset_1(v28, v0) | ? [v31: $i]
% 159.05/24.85 | | | | | | | | | | | : (k4_tarski(v31, v30) = v29 &
% 159.05/24.85 | | | | | | | | | | | k4_tarski(v28, v28) = v31 & $i(v31)
% 159.05/24.85 | | | | | | | | | | | & $i(v29))) & ! [v28: $i] : !
% 159.05/24.85 | | | | | | | | | | | [v29: $i] : ! [v30: $i] : ( ~
% 159.05/24.85 | | | | | | | | | | | (k10_cat_1(all_88_9, v28) = v29) | ~
% 159.05/24.85 | | | | | | | | | | | (k4_tarski(v28, v28) = v30) | ~
% 159.05/24.85 | | | | | | | | | | | $i(v28) | ~ m2_cat_1(v28, all_88_12,
% 159.05/24.85 | | | | | | | | | | | all_88_10) | ~ m1_subset_1(v28, v0)
% 159.05/24.85 | | | | | | | | | | | | ? [v31: $i] :
% 159.05/24.85 | | | | | | | | | | | (k7_nattra_1(all_88_12, all_88_10,
% 159.05/24.85 | | | | | | | | | | | v28) = v31 & k4_tarski(v30, v31) =
% 159.05/24.85 | | | | | | | | | | | v29 & $i(v31) & $i(v29))) & ! [v28:
% 159.05/24.85 | | | | | | | | | | | $i] : ! [v29: $i] : ! [v30: $i] : (
% 159.05/24.85 | | | | | | | | | | | ~ (k13_cat_2(all_88_9, all_88_9, v29,
% 159.05/24.85 | | | | | | | | | | | v28) = v30) | ~ $i(v29) | ~
% 159.05/24.85 | | | | | | | | | | | $i(v28) | ~ r2_hidden(v30, v6) | ~
% 159.05/24.85 | | | | | | | | | | | m1_subset_1(v29, v1) | ~
% 159.05/24.85 | | | | | | | | | | | m1_subset_1(v28, v1) | ? [v31: $i] :
% 159.05/24.85 | | | | | | | | | | | ? [v32: $i] : ? [v33: $i] : ? [v34:
% 159.05/24.85 | | | | | | | | | | | $i] : ? [v35: $i] : ? [v36: $i] :
% 159.05/24.85 | | | | | | | | | | | ? [v37: $i] : ? [v38: $i] : ? [v39:
% 159.05/24.85 | | | | | | | | | | | $i] : ? [v40: $i] : (k1_funct_1(v5,
% 159.05/24.85 | | | | | | | | | | | v30) = v31 &
% 159.05/24.85 | | | | | | | | | | | k8_nattra_1(all_88_12, all_88_10,
% 159.05/24.85 | | | | | | | | | | | v32, v33, v35, v38, v39) = v40 &
% 159.05/24.85 | | | | | | | | | | | k4_tarski(v37, v40) = v31 &
% 159.05/24.85 | | | | | | | | | | | k4_tarski(v36, v39) = v29 &
% 159.05/24.85 | | | | | | | | | | | k4_tarski(v34, v38) = v28 &
% 159.05/24.85 | | | | | | | | | | | k4_tarski(v33, v35) = v36 &
% 159.05/24.85 | | | | | | | | | | | k4_tarski(v32, v35) = v37 &
% 159.05/24.85 | | | | | | | | | | | k4_tarski(v32, v33) = v34 & $i(v40)
% 159.05/24.85 | | | | | | | | | | | & $i(v39) & $i(v38) & $i(v37) &
% 159.05/24.85 | | | | | | | | | | | $i(v36) & $i(v35) & $i(v34) &
% 159.05/24.85 | | | | | | | | | | | $i(v33) & $i(v32) & $i(v31) &
% 159.05/24.85 | | | | | | | | | | | m2_nattra_1(v39, all_88_12,
% 159.05/24.85 | | | | | | | | | | | all_88_10, v33, v35) &
% 159.05/24.85 | | | | | | | | | | | m2_nattra_1(v38, all_88_12,
% 159.05/24.85 | | | | | | | | | | | all_88_10, v32, v33) &
% 159.05/24.85 | | | | | | | | | | | m2_cat_1(v35, all_88_12, all_88_10)
% 159.05/24.85 | | | | | | | | | | | & m2_cat_1(v33, all_88_12,
% 159.05/24.85 | | | | | | | | | | | all_88_10) & m2_cat_1(v32,
% 159.05/24.85 | | | | | | | | | | | all_88_12, all_88_10))) & ! [v28:
% 159.05/24.85 | | | | | | | | | | | $i] : ! [v29: $i] : ! [v30: $i] : (
% 159.05/24.85 | | | | | | | | | | | ~ (k2_cat_1(all_88_9, v30) = v29) | ~
% 159.05/24.85 | | | | | | | | | | | (k3_cat_1(all_88_9, v28) = v29) | ~
% 159.05/24.85 | | | | | | | | | | | $i(v30) | ~ $i(v28) | ~
% 159.05/24.85 | | | | | | | | | | | m1_subset_1(v30, v1) | ~
% 159.05/24.85 | | | | | | | | | | | m1_subset_1(v28, v1) | ? [v31: $i] :
% 159.05/24.85 | | | | | | | | | | | (k13_cat_2(all_88_9, all_88_9, v30,
% 159.05/24.85 | | | | | | | | | | | v28) = v31 & $i(v31) &
% 159.05/24.85 | | | | | | | | | | | r2_hidden(v31, v6))) & ! [v28: $i]
% 159.05/24.85 | | | | | | | | | | | : ! [v29: $i] : ( ~ (k2_cat_1(all_88_9,
% 159.05/24.85 | | | | | | | | | | | v28) = v29) | ~ $i(v28) | ~
% 159.05/24.85 | | | | | | | | | | | m1_subset_1(v28, v1) | ? [v30: $i] :
% 159.05/24.85 | | | | | | | | | | | ? [v31: $i] : (k1_mcart_1(v30) = v29 &
% 159.05/24.85 | | | | | | | | | | | k1_mcart_1(v28) = v30 &
% 159.05/24.85 | | | | | | | | | | | k3_cat_1(all_88_9, v28) = v31 &
% 159.05/24.85 | | | | | | | | | | | k2_mcart_1(v30) = v31 & $i(v31) &
% 159.05/24.85 | | | | | | | | | | | $i(v30) & $i(v29))) & ! [v28: $i] :
% 159.05/24.85 | | | | | | | | | | | ! [v29: $i] : ( ~ (k1_mcart_1(v28) =
% 159.05/24.85 | | | | | | | | | | | v29) | ~ $i(v28) | ~
% 159.05/24.85 | | | | | | | | | | | m1_subset_1(v28, v1) | ? [v30: $i] :
% 159.05/24.85 | | | | | | | | | | | ? [v31: $i] : (k2_cat_1(all_88_9, v28)
% 159.05/24.85 | | | | | | | | | | | = v30 & k1_mcart_1(v29) = v30 &
% 159.05/24.85 | | | | | | | | | | | k3_cat_1(all_88_9, v28) = v31 &
% 159.05/24.85 | | | | | | | | | | | k2_mcart_1(v29) = v31 & $i(v31) &
% 159.05/24.85 | | | | | | | | | | | $i(v30))) & ! [v28: $i] : ! [v29:
% 159.05/24.85 | | | | | | | | | | | $i] : ( ~ (k3_cat_1(all_88_9, v28) =
% 159.05/24.85 | | | | | | | | | | | v29) | ~ $i(v28) | ~
% 159.05/24.85 | | | | | | | | | | | m1_subset_1(v28, v1) | ? [v30: $i] :
% 159.05/24.85 | | | | | | | | | | | ? [v31: $i] : (k2_cat_1(all_88_9, v28)
% 159.05/24.85 | | | | | | | | | | | = v30 & k1_mcart_1(v31) = v30 &
% 159.05/24.85 | | | | | | | | | | | k1_mcart_1(v28) = v31 &
% 159.05/24.85 | | | | | | | | | | | k2_mcart_1(v31) = v29 & $i(v31) &
% 159.05/24.85 | | | | | | | | | | | $i(v30) & $i(v29))))))) & ! [v2:
% 159.05/24.85 | | | | | | | | | | | $i] : ! [v3: $i] : ( ~ (u5_cat_1(v2) = v3) |
% 159.05/24.85 | | | | | | | | | | | ~ $i(v2) | ~ v1_cat_1(v2) | ~ l1_cat_1(v2) |
% 159.05/24.85 | | | | | | | | | | | ~ v2_cat_1(v2) | ? [v4: $i] : ? [v5: $i] :
% 159.05/24.85 | | | | | | | | | | | ? [v6: $i] : ? [v7: $i] : ? [v8: $i] : ?
% 159.05/24.85 | | | | | | | | | | | [v9: $i] : ? [v10: $i] : ? [v11: $i] : ?
% 159.05/24.85 | | | | | | | | | | | [v12: $i] : ? [v13: $i] : ? [v14: $i] : ?
% 159.05/24.85 | | | | | | | | | | | [v15: $i] : ? [v16: $i] : ? [v17: $i] : ?
% 159.05/24.85 | | | | | | | | | | | [v18: $i] : ? [v19: $i] : ? [v20: $i] : ?
% 159.05/24.85 | | | | | | | | | | | [v21: $i] : ? [v22: $i] : ? [v23: $i] : ?
% 159.05/24.85 | | | | | | | | | | | [v24: $i] : ? [v25: $i] : ? [v26: $i] : ?
% 159.05/24.85 | | | | | | | | | | | [v27: $i] : ($i(v22) & $i(v19) & $i(v17) &
% 159.05/24.85 | | | | | | | | | | | $i(v14) & $i(v13) & $i(v9) & $i(v7) & ( ~
% 159.05/24.85 | | | | | | | | | | | (v2 = all_88_9) | (v5 = v1 & v4 = v0 &
% 159.05/24.85 | | | | | | | | | | | k1_relat_1(v3) = v6 & u1_cat_1(all_88_9)
% 159.05/24.85 | | | | | | | | | | | = v0 & u2_cat_1(all_88_9) = v1 & $i(v6)
% 159.05/24.85 | | | | | | | | | | | & ! [v28: $i] : ! [v29: $i] : ! [v30:
% 159.05/24.85 | | | | | | | | | | | $i] : ! [v31: $i] : ( ~
% 159.05/24.85 | | | | | | | | | | | (k13_cat_2(all_88_9, all_88_9, v30,
% 159.05/24.85 | | | | | | | | | | | v28) = v31) | ~
% 159.05/24.85 | | | | | | | | | | | (k3_cat_1(all_88_9, v28) = v29) | ~
% 159.05/24.85 | | | | | | | | | | | $i(v30) | ~ $i(v28) | ~
% 159.05/24.85 | | | | | | | | | | | m1_subset_1(v30, v1) | ~
% 159.05/24.85 | | | | | | | | | | | m1_subset_1(v28, v1) | r2_hidden(v31,
% 159.05/24.85 | | | | | | | | | | | v6) | ? [v32: $i] : ( ~ (v32 = v29)
% 159.05/24.85 | | | | | | | | | | | & k2_cat_1(all_88_9, v30) = v32 &
% 159.05/24.85 | | | | | | | | | | | $i(v32))) & ! [v28: $i] : ! [v29:
% 159.05/24.85 | | | | | | | | | | | $i] : ! [v30: $i] : ( ~
% 159.05/24.85 | | | | | | | | | | | (k10_cat_1(all_88_9, v28) = v29) | ~
% 159.05/24.85 | | | | | | | | | | | (k7_nattra_1(all_88_12, all_88_10,
% 159.05/24.85 | | | | | | | | | | | v28) = v30) | ~ $i(v28) | ~
% 159.05/24.85 | | | | | | | | | | | m2_cat_1(v28, all_88_12, all_88_10) |
% 159.05/24.85 | | | | | | | | | | | ~ m1_subset_1(v28, v0) | ? [v31: $i]
% 159.05/24.85 | | | | | | | | | | | : (k4_tarski(v31, v30) = v29 &
% 159.05/24.85 | | | | | | | | | | | k4_tarski(v28, v28) = v31 & $i(v31)
% 159.05/24.85 | | | | | | | | | | | & $i(v29))) & ! [v28: $i] : !
% 159.05/24.85 | | | | | | | | | | | [v29: $i] : ! [v30: $i] : ( ~
% 159.05/24.85 | | | | | | | | | | | (k10_cat_1(all_88_9, v28) = v29) | ~
% 159.05/24.85 | | | | | | | | | | | (k4_tarski(v28, v28) = v30) | ~
% 159.05/24.85 | | | | | | | | | | | $i(v28) | ~ m2_cat_1(v28, all_88_12,
% 159.05/24.85 | | | | | | | | | | | all_88_10) | ~ m1_subset_1(v28, v0)
% 159.05/24.85 | | | | | | | | | | | | ? [v31: $i] :
% 159.05/24.85 | | | | | | | | | | | (k7_nattra_1(all_88_12, all_88_10,
% 159.05/24.85 | | | | | | | | | | | v28) = v31 & k4_tarski(v30, v31) =
% 159.05/24.85 | | | | | | | | | | | v29 & $i(v31) & $i(v29))) & ! [v28:
% 159.05/24.85 | | | | | | | | | | | $i] : ! [v29: $i] : ! [v30: $i] : (
% 159.05/24.85 | | | | | | | | | | | ~ (k13_cat_2(all_88_9, all_88_9, v29,
% 159.05/24.85 | | | | | | | | | | | v28) = v30) | ~ $i(v29) | ~
% 159.05/24.85 | | | | | | | | | | | $i(v28) | ~ r2_hidden(v30, v6) | ~
% 159.05/24.85 | | | | | | | | | | | m1_subset_1(v29, v1) | ~
% 159.05/24.85 | | | | | | | | | | | m1_subset_1(v28, v1) | ? [v31: $i] :
% 159.05/24.85 | | | | | | | | | | | ? [v32: $i] : ? [v33: $i] : ? [v34:
% 159.05/24.85 | | | | | | | | | | | $i] : ? [v35: $i] : ? [v36: $i] :
% 159.05/24.85 | | | | | | | | | | | ? [v37: $i] : ? [v38: $i] : ? [v39:
% 159.05/24.85 | | | | | | | | | | | $i] : ? [v40: $i] : (k1_funct_1(v3,
% 159.05/24.85 | | | | | | | | | | | v30) = v31 &
% 159.05/24.85 | | | | | | | | | | | k8_nattra_1(all_88_12, all_88_10,
% 159.05/24.85 | | | | | | | | | | | v32, v33, v35, v38, v39) = v40 &
% 159.05/24.85 | | | | | | | | | | | k4_tarski(v37, v40) = v31 &
% 159.05/24.85 | | | | | | | | | | | k4_tarski(v36, v39) = v29 &
% 159.05/24.85 | | | | | | | | | | | k4_tarski(v34, v38) = v28 &
% 159.05/24.85 | | | | | | | | | | | k4_tarski(v33, v35) = v36 &
% 159.05/24.85 | | | | | | | | | | | k4_tarski(v32, v35) = v37 &
% 159.05/24.85 | | | | | | | | | | | k4_tarski(v32, v33) = v34 & $i(v40)
% 159.05/24.85 | | | | | | | | | | | & $i(v39) & $i(v38) & $i(v37) &
% 159.05/24.85 | | | | | | | | | | | $i(v36) & $i(v35) & $i(v34) &
% 159.05/24.85 | | | | | | | | | | | $i(v33) & $i(v32) & $i(v31) &
% 159.05/24.85 | | | | | | | | | | | m2_nattra_1(v39, all_88_12,
% 159.05/24.85 | | | | | | | | | | | all_88_10, v33, v35) &
% 159.05/24.85 | | | | | | | | | | | m2_nattra_1(v38, all_88_12,
% 159.05/24.85 | | | | | | | | | | | all_88_10, v32, v33) &
% 159.05/24.85 | | | | | | | | | | | m2_cat_1(v35, all_88_12, all_88_10)
% 159.05/24.85 | | | | | | | | | | | & m2_cat_1(v33, all_88_12,
% 159.05/24.85 | | | | | | | | | | | all_88_10) & m2_cat_1(v32,
% 159.05/24.85 | | | | | | | | | | | all_88_12, all_88_10))) & ! [v28:
% 159.05/24.85 | | | | | | | | | | | $i] : ! [v29: $i] : ! [v30: $i] : (
% 159.05/24.85 | | | | | | | | | | | ~ (k2_cat_1(all_88_9, v30) = v29) | ~
% 159.05/24.85 | | | | | | | | | | | (k3_cat_1(all_88_9, v28) = v29) | ~
% 159.05/24.85 | | | | | | | | | | | $i(v30) | ~ $i(v28) | ~
% 159.05/24.85 | | | | | | | | | | | m1_subset_1(v30, v1) | ~
% 159.05/24.85 | | | | | | | | | | | m1_subset_1(v28, v1) | ? [v31: $i] :
% 159.05/24.85 | | | | | | | | | | | (k13_cat_2(all_88_9, all_88_9, v30,
% 159.05/24.85 | | | | | | | | | | | v28) = v31 & $i(v31) &
% 159.05/24.85 | | | | | | | | | | | r2_hidden(v31, v6))) & ! [v28: $i]
% 159.05/24.85 | | | | | | | | | | | : ! [v29: $i] : ( ~ (k2_cat_1(all_88_9,
% 159.05/24.85 | | | | | | | | | | | v28) = v29) | ~ $i(v28) | ~
% 159.05/24.85 | | | | | | | | | | | m1_subset_1(v28, v1) | ? [v30: $i] :
% 159.05/24.85 | | | | | | | | | | | ? [v31: $i] : (k1_mcart_1(v30) = v29 &
% 159.05/24.85 | | | | | | | | | | | k1_mcart_1(v28) = v30 &
% 159.05/24.85 | | | | | | | | | | | k3_cat_1(all_88_9, v28) = v31 &
% 159.05/24.85 | | | | | | | | | | | k2_mcart_1(v30) = v31 & $i(v31) &
% 159.05/24.85 | | | | | | | | | | | $i(v30) & $i(v29))) & ! [v28: $i] :
% 159.05/24.85 | | | | | | | | | | | ! [v29: $i] : ( ~ (k1_mcart_1(v28) =
% 159.05/24.85 | | | | | | | | | | | v29) | ~ $i(v28) | ~
% 159.05/24.85 | | | | | | | | | | | m1_subset_1(v28, v1) | ? [v30: $i] :
% 159.05/24.85 | | | | | | | | | | | ? [v31: $i] : (k2_cat_1(all_88_9, v28)
% 159.05/24.85 | | | | | | | | | | | = v30 & k1_mcart_1(v29) = v30 &
% 159.05/24.85 | | | | | | | | | | | k3_cat_1(all_88_9, v28) = v31 &
% 159.05/24.85 | | | | | | | | | | | k2_mcart_1(v29) = v31 & $i(v31) &
% 159.05/24.85 | | | | | | | | | | | $i(v30))) & ! [v28: $i] : ! [v29:
% 159.05/24.85 | | | | | | | | | | | $i] : ( ~ (k3_cat_1(all_88_9, v28) =
% 159.05/24.85 | | | | | | | | | | | v29) | ~ $i(v28) | ~
% 159.05/24.85 | | | | | | | | | | | m1_subset_1(v28, v1) | ? [v30: $i] :
% 159.05/24.85 | | | | | | | | | | | ? [v31: $i] : (k2_cat_1(all_88_9, v28)
% 159.05/24.85 | | | | | | | | | | | = v30 & k1_mcart_1(v31) = v30 &
% 159.05/24.85 | | | | | | | | | | | k1_mcart_1(v28) = v31 &
% 159.05/24.85 | | | | | | | | | | | k2_mcart_1(v31) = v29 & $i(v31) &
% 159.05/24.85 | | | | | | | | | | | $i(v30) & $i(v29))))) & (v2 =
% 159.05/24.85 | | | | | | | | | | | all_88_9 | (v20 = v18 & k1_relat_1(v3) =
% 159.05/24.85 | | | | | | | | | | | v6 & k13_cat_2(v2, v2, v19, v17) = v21 &
% 159.05/24.85 | | | | | | | | | | | k2_cat_1(v2, v19) = v18 & k3_cat_1(v2,
% 159.05/24.85 | | | | | | | | | | | v17) = v18 & u2_cat_1(v2) = v5 &
% 159.05/24.85 | | | | | | | | | | | $i(v21) & $i(v18) & $i(v6) & $i(v5) &
% 159.05/24.85 | | | | | | | | | | | m1_subset_1(v19, v5) & m1_subset_1(v17,
% 159.05/24.85 | | | | | | | | | | | v5) & ~ r2_hidden(v21, v6)) | (v9 =
% 159.05/24.85 | | | | | | | | | | | v7 & ~ (v12 = v8) & k10_cat_1(v2, v7) =
% 159.05/24.85 | | | | | | | | | | | v8 & k7_nattra_1(all_88_12, all_88_10,
% 159.05/24.85 | | | | | | | | | | | v7) = v11 & k4_tarski(v10, v11) = v12
% 159.05/24.85 | | | | | | | | | | | & k4_tarski(v7, v7) = v10 & u1_cat_1(v2)
% 159.05/24.85 | | | | | | | | | | | = v4 & $i(v12) & $i(v11) & $i(v10) &
% 159.05/24.85 | | | | | | | | | | | $i(v8) & $i(v4) & m2_cat_1(v7,
% 159.05/24.85 | | | | | | | | | | | all_88_12, all_88_10) &
% 159.05/24.85 | | | | | | | | | | | m1_subset_1(v7, v4)) | ( ~ (v5 = v1) &
% 159.05/24.85 | | | | | | | | | | | u2_cat_1(v2) = v5 & $i(v5)) | ( ~ (v4 =
% 159.05/24.85 | | | | | | | | | | | v0) & u1_cat_1(v2) = v4 & $i(v4)) |
% 159.05/24.85 | | | | | | | | | | | (k1_relat_1(v3) = v6 & k1_funct_1(v3, v15)
% 159.05/24.85 | | | | | | | | | | | = v16 & k13_cat_2(v2, v2, v14, v13) =
% 159.05/24.85 | | | | | | | | | | | v15 & u2_cat_1(v2) = v5 & $i(v16) &
% 159.05/24.85 | | | | | | | | | | | $i(v15) & $i(v6) & $i(v5) &
% 159.05/24.85 | | | | | | | | | | | r2_hidden(v15, v6) & m1_subset_1(v14,
% 159.05/24.85 | | | | | | | | | | | v5) & m1_subset_1(v13, v5) & ! [v28:
% 159.05/24.85 | | | | | | | | | | | $i] : ! [v29: $i] : ! [v30: $i] : !
% 159.05/24.85 | | | | | | | | | | | [v31: $i] : ! [v32: $i] : ( ~
% 159.05/24.85 | | | | | | | | | | | (k4_tarski(v29, v31) = v32) | ~
% 159.05/24.85 | | | | | | | | | | | (k4_tarski(v28, v29) = v30) | ~
% 159.05/24.85 | | | | | | | | | | | $i(v31) | ~ $i(v29) | ~ $i(v28) | ~
% 159.05/24.85 | | | | | | | | | | | m2_cat_1(v31, all_88_12, all_88_10) |
% 159.05/24.85 | | | | | | | | | | | ~ m2_cat_1(v29, all_88_12, all_88_10)
% 159.05/24.85 | | | | | | | | | | | | ~ m2_cat_1(v28, all_88_12,
% 159.05/24.85 | | | | | | | | | | | all_88_10) | ? [v33: $i] :
% 159.05/24.85 | | | | | | | | | | | (k4_tarski(v28, v31) = v33 & $i(v33) &
% 159.05/24.85 | | | | | | | | | | | ! [v34: $i] : ! [v35: $i] : !
% 159.05/24.85 | | | | | | | | | | | [v36: $i] : ( ~
% 159.05/24.85 | | | | | | | | | | | (k8_nattra_1(all_88_12, all_88_10,
% 159.05/24.85 | | | | | | | | | | | v28, v29, v31, v34, v35) =
% 159.05/24.85 | | | | | | | | | | | v36) | ~ (k4_tarski(v30, v34) =
% 159.05/24.85 | | | | | | | | | | | v13) | ~ $i(v35) | ~ $i(v34) |
% 159.05/24.85 | | | | | | | | | | | ~ m2_nattra_1(v35, all_88_12,
% 159.05/24.85 | | | | | | | | | | | all_88_10, v29, v31) | ~
% 159.05/24.85 | | | | | | | | | | | m2_nattra_1(v34, all_88_12,
% 159.05/24.85 | | | | | | | | | | | all_88_10, v28, v29) | ? [v37:
% 159.05/24.85 | | | | | | | | | | | $i] : ? [v38: $i] : (( ~ (v38 =
% 159.05/24.85 | | | | | | | | | | | v16) & k4_tarski(v33, v36) =
% 159.05/24.85 | | | | | | | | | | | v38 & $i(v38)) | ( ~ (v37 =
% 159.05/24.85 | | | | | | | | | | | v14) & k4_tarski(v32, v35) =
% 159.05/24.85 | | | | | | | | | | | v37 & $i(v37)))) & ! [v34:
% 159.05/24.85 | | | | | | | | | | | $i] : ! [v35: $i] : ( ~
% 159.05/24.85 | | | | | | | | | | | (k4_tarski(v32, v35) = v14) | ~
% 159.05/24.85 | | | | | | | | | | | (k4_tarski(v30, v34) = v13) | ~
% 159.05/24.85 | | | | | | | | | | | $i(v35) | ~ $i(v34) | ~
% 159.05/24.85 | | | | | | | | | | | m2_nattra_1(v35, all_88_12,
% 159.05/24.85 | | | | | | | | | | | all_88_10, v29, v31) | ~
% 159.05/24.85 | | | | | | | | | | | m2_nattra_1(v34, all_88_12,
% 159.05/24.85 | | | | | | | | | | | all_88_10, v28, v29) | ? [v36:
% 159.05/24.85 | | | | | | | | | | | $i] : ? [v37: $i] : ( ~ (v37 =
% 159.05/24.85 | | | | | | | | | | | v16) & k8_nattra_1(all_88_12,
% 159.05/24.85 | | | | | | | | | | | all_88_10, v28, v29, v31, v34,
% 159.05/24.85 | | | | | | | | | | | v35) = v36 & k4_tarski(v33,
% 159.05/24.85 | | | | | | | | | | | v36) = v37 & $i(v37) &
% 159.05/24.85 | | | | | | | | | | | $i(v36))))) & ! [v28: $i] : !
% 159.05/24.85 | | | | | | | | | | | [v29: $i] : ! [v30: $i] : ! [v31: $i]
% 159.05/24.85 | | | | | | | | | | | : ! [v32: $i] : ( ~ (k4_tarski(v28,
% 159.05/24.85 | | | | | | | | | | | v31) = v32) | ~ (k4_tarski(v28,
% 159.05/24.85 | | | | | | | | | | | v29) = v30) | ~ $i(v31) | ~
% 159.05/24.85 | | | | | | | | | | | $i(v29) | ~ $i(v28) | ~
% 159.05/24.85 | | | | | | | | | | | m2_cat_1(v31, all_88_12, all_88_10) |
% 159.05/24.85 | | | | | | | | | | | ~ m2_cat_1(v29, all_88_12, all_88_10)
% 159.05/24.85 | | | | | | | | | | | | ~ m2_cat_1(v28, all_88_12,
% 159.05/24.85 | | | | | | | | | | | all_88_10) | ? [v33: $i] :
% 159.05/24.85 | | | | | | | | | | | (k4_tarski(v29, v31) = v33 & $i(v33) &
% 159.05/24.85 | | | | | | | | | | | ! [v34: $i] : ! [v35: $i] : !
% 159.05/24.85 | | | | | | | | | | | [v36: $i] : ( ~
% 159.05/24.85 | | | | | | | | | | | (k8_nattra_1(all_88_12, all_88_10,
% 159.05/24.85 | | | | | | | | | | | v28, v29, v31, v34, v35) =
% 159.05/24.85 | | | | | | | | | | | v36) | ~ (k4_tarski(v30, v34) =
% 159.05/24.85 | | | | | | | | | | | v13) | ~ $i(v35) | ~ $i(v34) |
% 159.05/24.85 | | | | | | | | | | | ~ m2_nattra_1(v35, all_88_12,
% 159.05/24.86 | | | | | | | | | | | all_88_10, v29, v31) | ~
% 159.05/24.86 | | | | | | | | | | | m2_nattra_1(v34, all_88_12,
% 159.05/24.86 | | | | | | | | | | | all_88_10, v28, v29) | ? [v37:
% 159.05/24.86 | | | | | | | | | | | $i] : ? [v38: $i] : (( ~ (v38 =
% 159.05/24.86 | | | | | | | | | | | v16) & k4_tarski(v32, v36) =
% 159.05/24.86 | | | | | | | | | | | v38 & $i(v38)) | ( ~ (v37 =
% 159.05/24.86 | | | | | | | | | | | v14) & k4_tarski(v33, v35) =
% 159.05/24.86 | | | | | | | | | | | v37 & $i(v37)))) & ! [v34:
% 159.05/24.86 | | | | | | | | | | | $i] : ! [v35: $i] : ( ~
% 159.05/24.86 | | | | | | | | | | | (k4_tarski(v33, v35) = v14) | ~
% 159.05/24.86 | | | | | | | | | | | (k4_tarski(v30, v34) = v13) | ~
% 159.05/24.86 | | | | | | | | | | | $i(v35) | ~ $i(v34) | ~
% 159.05/24.86 | | | | | | | | | | | m2_nattra_1(v35, all_88_12,
% 159.05/24.86 | | | | | | | | | | | all_88_10, v29, v31) | ~
% 159.05/24.86 | | | | | | | | | | | m2_nattra_1(v34, all_88_12,
% 159.05/24.86 | | | | | | | | | | | all_88_10, v28, v29) | ? [v36:
% 159.05/24.86 | | | | | | | | | | | $i] : ? [v37: $i] : ( ~ (v37 =
% 159.05/24.86 | | | | | | | | | | | v16) & k8_nattra_1(all_88_12,
% 159.05/24.86 | | | | | | | | | | | all_88_10, v28, v29, v31, v34,
% 159.05/24.86 | | | | | | | | | | | v35) = v36 & k4_tarski(v32,
% 159.05/24.86 | | | | | | | | | | | v36) = v37 & $i(v37) &
% 159.05/24.86 | | | | | | | | | | | $i(v36)))))) | (k1_mcart_1(v22)
% 159.05/24.86 | | | | | | | | | | | = v24 & u2_cat_1(v2) = v5 & $i(v24) &
% 159.05/24.86 | | | | | | | | | | | $i(v5) & m1_subset_1(v22, v5) & (( ~
% 159.05/24.86 | | | | | | | | | | | (v27 = v26) & k3_cat_1(v2, v22) =
% 159.05/24.86 | | | | | | | | | | | v26 & k2_mcart_1(v24) = v27 &
% 159.05/24.86 | | | | | | | | | | | $i(v27) & $i(v26)) | ( ~ (v25 = v23)
% 159.05/24.86 | | | | | | | | | | | & k2_cat_1(v2, v22) = v23 &
% 159.05/24.86 | | | | | | | | | | | k1_mcart_1(v24) = v25 & $i(v25) &
% 159.05/24.86 | | | | | | | | | | | $i(v23))))))))
% 159.05/24.86 | | | | | | | | | | |
% 159.05/24.86 | | | | | | | | | | | GROUND_INST: instantiating (4) with all_88_12, all_108_0,
% 159.05/24.86 | | | | | | | | | | | all_88_4, all_88_3, simplifying with (31), (32),
% 159.05/24.86 | | | | | | | | | | | (34), (39), (52), (120), (121) gives:
% 159.05/24.86 | | | | | | | | | | | (204) k20_ens_1(all_88_12, all_88_4) = all_88_3 &
% 159.05/24.86 | | | | | | | | | | | $i(all_88_3)
% 159.05/24.86 | | | | | | | | | | |
% 159.05/24.86 | | | | | | | | | | | GROUND_INST: instantiating (4) with all_88_12, all_108_0,
% 159.05/24.86 | | | | | | | | | | | all_88_6, all_88_5, simplifying with (31), (32),
% 159.05/24.86 | | | | | | | | | | | (34), (37), (51), (121), (174) gives:
% 159.05/24.86 | | | | | | | | | | | (205) k20_ens_1(all_88_12, all_88_6) = all_88_5 &
% 159.05/24.86 | | | | | | | | | | | $i(all_88_5)
% 159.05/24.86 | | | | | | | | | | |
% 159.05/24.86 | | | | | | | | | | | GROUND_INST: instantiating (15) with all_88_12, all_88_4,
% 159.05/24.86 | | | | | | | | | | | all_88_4, all_108_0, simplifying with (32), (34),
% 159.05/24.86 | | | | | | | | | | | (39), (120), (121) gives:
% 159.05/24.86 | | | | | | | | | | | (206) ? [v0: $i] : (u2_cat_1(all_88_12) = v0 & $i(v0) &
% 159.05/24.86 | | | | | | | | | | | ! [v1: $i] : ( ~ $i(v1) | ~ m1_cat_1(v1,
% 159.05/24.86 | | | | | | | | | | | all_88_12, all_88_4, all_88_4) |
% 159.05/24.86 | | | | | | | | | | | m1_subset_1(v1, v0)))
% 159.05/24.86 | | | | | | | | | | |
% 159.05/24.86 | | | | | | | | | | | GROUND_INST: instantiating (15) with all_88_12, all_88_6,
% 159.05/24.86 | | | | | | | | | | | all_88_4, all_108_0, simplifying with (32), (34),
% 159.05/24.86 | | | | | | | | | | | (37), (39), (120), (121), (174) gives:
% 159.05/24.86 | | | | | | | | | | | (207) ? [v0: $i] : (u2_cat_1(all_88_12) = v0 & $i(v0) &
% 159.05/24.86 | | | | | | | | | | | ! [v1: $i] : ( ~ $i(v1) | ~ m1_cat_1(v1,
% 159.05/24.86 | | | | | | | | | | | all_88_12, all_88_6, all_88_4) |
% 159.05/24.86 | | | | | | | | | | | m1_subset_1(v1, v0)))
% 159.05/24.86 | | | | | | | | | | |
% 159.05/24.86 | | | | | | | | | | | GROUND_INST: instantiating (1) with all_88_1, all_88_2,
% 159.05/24.86 | | | | | | | | | | | all_114_1, simplifying with (41), (42), (78)
% 159.05/24.86 | | | | | | | | | | | gives:
% 159.05/24.86 | | | | | | | | | | | (208) k2_tarski(all_88_1, all_88_2) = all_114_1 &
% 159.05/24.86 | | | | | | | | | | | $i(all_114_1)
% 159.05/24.86 | | | | | | | | | | |
% 159.05/24.86 | | | | | | | | | | | ALPHA: (208) implies:
% 159.05/24.86 | | | | | | | | | | | (209) $i(all_114_1)
% 159.05/24.86 | | | | | | | | | | |
% 159.05/24.86 | | | | | | | | | | | GROUND_INST: instantiating (1) with all_114_0, all_114_1,
% 159.05/24.86 | | | | | | | | | | | all_88_0, simplifying with (77), (79), (209)
% 159.05/24.86 | | | | | | | | | | | gives:
% 159.05/24.86 | | | | | | | | | | | (210) k2_tarski(all_114_0, all_114_1) = all_88_0 &
% 159.05/24.86 | | | | | | | | | | | $i(all_88_0)
% 159.05/24.86 | | | | | | | | | | |
% 159.05/24.86 | | | | | | | | | | | ALPHA: (210) implies:
% 159.05/24.86 | | | | | | | | | | | (211) $i(all_88_0)
% 159.05/24.86 | | | | | | | | | | |
% 159.05/24.86 | | | | | | | | | | | GROUND_INST: instantiating (5) with all_114_1, all_114_0,
% 159.05/24.86 | | | | | | | | | | | all_88_0, simplifying with (77), (79), (209)
% 159.05/24.86 | | | | | | | | | | | gives:
% 159.05/24.86 | | | | | | | | | | | (212) ? [v0: $i] : ? [v1: $i] : (k1_tarski(all_114_1)
% 159.05/24.86 | | | | | | | | | | | = v1 & k4_tarski(all_114_1, all_114_0) = v0 &
% 159.05/24.86 | | | | | | | | | | | k2_tarski(all_88_0, v1) = v0 & $i(v1) & $i(v0))
% 159.05/24.86 | | | | | | | | | | |
% 159.05/24.86 | | | | | | | | | | | DELTA: instantiating (212) with fresh symbols all_253_0,
% 159.05/24.86 | | | | | | | | | | | all_253_1 gives:
% 159.05/24.86 | | | | | | | | | | |
% 159.05/24.86 | | | | | | | | | | | DELTA: instantiating (207) with fresh symbol all_258_0
% 159.05/24.86 | | | | | | | | | | | gives:
% 159.05/24.86 | | | | | | | | | | | (213) u2_cat_1(all_88_12) = all_258_0 & $i(all_258_0) &
% 159.05/24.86 | | | | | | | | | | | ! [v0: $i] : ( ~ $i(v0) | ~ m1_cat_1(v0,
% 159.05/24.86 | | | | | | | | | | | all_88_12, all_88_6, all_88_4) |
% 159.05/24.86 | | | | | | | | | | | m1_subset_1(v0, all_258_0))
% 159.05/24.86 | | | | | | | | | | |
% 159.05/24.86 | | | | | | | | | | | ALPHA: (213) implies:
% 159.05/24.86 | | | | | | | | | | | (214) u2_cat_1(all_88_12) = all_258_0
% 159.05/24.86 | | | | | | | | | | |
% 159.05/24.86 | | | | | | | | | | | DELTA: instantiating (206) with fresh symbol all_263_0
% 159.05/24.86 | | | | | | | | | | | gives:
% 159.05/24.86 | | | | | | | | | | | (215) u2_cat_1(all_88_12) = all_263_0 & $i(all_263_0) &
% 159.05/24.86 | | | | | | | | | | | ! [v0: $i] : ( ~ $i(v0) | ~ m1_cat_1(v0,
% 159.05/24.86 | | | | | | | | | | | all_88_12, all_88_4, all_88_4) |
% 159.05/24.86 | | | | | | | | | | | m1_subset_1(v0, all_263_0))
% 159.05/24.86 | | | | | | | | | | |
% 159.05/24.86 | | | | | | | | | | | ALPHA: (215) implies:
% 159.05/24.86 | | | | | | | | | | | (216) u2_cat_1(all_88_12) = all_263_0
% 159.05/24.86 | | | | | | | | | | |
% 159.05/24.86 | | | | | | | | | | | DELTA: instantiating (203) with fresh symbols all_269_0,
% 159.05/24.86 | | | | | | | | | | | all_269_1 gives:
% 159.05/24.88 | | | | | | | | | | | (217) k7_cat_2(all_88_12, all_88_10) = all_269_1 &
% 159.05/24.88 | | | | | | | | | | | k11_nattra_1(all_88_12, all_88_10) = all_269_0 &
% 159.05/24.88 | | | | | | | | | | | $i(all_269_0) & $i(all_269_1) & ! [v0: $i] : !
% 159.05/24.88 | | | | | | | | | | | [v1: $i] : ( ~ (u1_cat_1(v0) = v1) | ~ $i(v0) |
% 159.05/24.88 | | | | | | | | | | | ~ v1_cat_1(v0) | ~ l1_cat_1(v0) | ~
% 159.05/24.88 | | | | | | | | | | | v2_cat_1(v0) | ? [v2: $i] : ? [v3: $i] : ?
% 159.05/24.88 | | | | | | | | | | | [v4: $i] : ? [v5: $i] : ? [v6: $i] : ? [v7:
% 159.05/24.88 | | | | | | | | | | | $i] : ? [v8: $i] : ? [v9: $i] : ? [v10: $i]
% 159.05/24.88 | | | | | | | | | | | : ? [v11: $i] : ? [v12: $i] : ? [v13: $i] :
% 159.05/24.88 | | | | | | | | | | | ? [v14: $i] : ? [v15: $i] : ? [v16: $i] : ?
% 159.05/24.88 | | | | | | | | | | | [v17: $i] : ? [v18: $i] : ? [v19: $i] : ?
% 159.05/24.88 | | | | | | | | | | | [v20: $i] : ? [v21: $i] : ? [v22: $i] : ?
% 159.05/24.88 | | | | | | | | | | | [v23: $i] : ? [v24: $i] : ? [v25: $i] :
% 159.05/24.88 | | | | | | | | | | | ($i(v20) & $i(v17) & $i(v15) & $i(v12) & $i(v11)
% 159.05/24.88 | | | | | | | | | | | & $i(v7) & $i(v5) & ( ~ (v1 = all_269_1) | v0
% 159.05/24.88 | | | | | | | | | | | = all_88_9 | (v18 = v16 & k1_relat_1(v3) =
% 159.05/24.88 | | | | | | | | | | | v4 & k13_cat_2(v0, v0, v17, v15) = v19 &
% 159.05/24.88 | | | | | | | | | | | k2_cat_1(v0, v17) = v16 & k3_cat_1(v0,
% 159.05/24.88 | | | | | | | | | | | v15) = v16 & u2_cat_1(v0) = v2 &
% 159.05/24.88 | | | | | | | | | | | u5_cat_1(v0) = v3 & $i(v19) & $i(v16) &
% 159.05/24.88 | | | | | | | | | | | $i(v4) & $i(v3) & $i(v2) &
% 159.05/24.88 | | | | | | | | | | | m1_subset_1(v17, v2) & m1_subset_1(v15,
% 159.05/24.88 | | | | | | | | | | | v2) & ~ r2_hidden(v19, v4)) | (v7 = v5
% 159.05/24.88 | | | | | | | | | | | & ~ (v10 = v6) & k10_cat_1(v0, v5) = v6 &
% 159.05/24.88 | | | | | | | | | | | k7_nattra_1(all_88_12, all_88_10, v5) = v9
% 159.05/24.88 | | | | | | | | | | | & k4_tarski(v8, v9) = v10 & k4_tarski(v5,
% 159.05/24.88 | | | | | | | | | | | v5) = v8 & $i(v10) & $i(v9) & $i(v8) &
% 159.05/24.88 | | | | | | | | | | | $i(v6) & m2_cat_1(v5, all_88_12,
% 159.05/24.88 | | | | | | | | | | | all_88_10) & m1_subset_1(v5, all_269_1))
% 159.05/24.88 | | | | | | | | | | | | ( ~ (v2 = all_269_0) & u2_cat_1(v0) = v2 &
% 159.05/24.88 | | | | | | | | | | | $i(v2)) | (k1_relat_1(v3) = v4 &
% 159.05/24.88 | | | | | | | | | | | k1_funct_1(v3, v13) = v14 & k13_cat_2(v0,
% 159.05/24.88 | | | | | | | | | | | v0, v12, v11) = v13 & u2_cat_1(v0) = v2
% 159.05/24.88 | | | | | | | | | | | & u5_cat_1(v0) = v3 & $i(v14) & $i(v13) &
% 159.05/24.88 | | | | | | | | | | | $i(v4) & $i(v3) & $i(v2) & r2_hidden(v13,
% 159.05/24.88 | | | | | | | | | | | v4) & m1_subset_1(v12, v2) &
% 159.05/24.88 | | | | | | | | | | | m1_subset_1(v11, v2) & ! [v26: $i] : !
% 159.05/24.88 | | | | | | | | | | | [v27: $i] : ! [v28: $i] : ! [v29: $i] :
% 159.05/24.88 | | | | | | | | | | | ! [v30: $i] : ( ~ (k4_tarski(v27, v29) =
% 159.05/24.88 | | | | | | | | | | | v30) | ~ (k4_tarski(v26, v27) = v28)
% 159.05/24.88 | | | | | | | | | | | | ~ $i(v29) | ~ $i(v27) | ~ $i(v26) |
% 159.05/24.88 | | | | | | | | | | | ~ m2_cat_1(v29, all_88_12, all_88_10) |
% 159.05/24.88 | | | | | | | | | | | ~ m2_cat_1(v27, all_88_12, all_88_10) |
% 159.05/24.88 | | | | | | | | | | | ~ m2_cat_1(v26, all_88_12, all_88_10) |
% 159.05/24.88 | | | | | | | | | | | ? [v31: $i] : (k4_tarski(v26, v29) =
% 159.05/24.88 | | | | | | | | | | | v31 & $i(v31) & ! [v32: $i] : !
% 159.05/24.88 | | | | | | | | | | | [v33: $i] : ! [v34: $i] : ( ~
% 159.05/24.88 | | | | | | | | | | | (k8_nattra_1(all_88_12, all_88_10,
% 159.05/24.88 | | | | | | | | | | | v26, v27, v29, v32, v33) = v34)
% 159.05/24.88 | | | | | | | | | | | | ~ (k4_tarski(v28, v32) = v11) |
% 159.05/24.88 | | | | | | | | | | | ~ $i(v33) | ~ $i(v32) | ~
% 159.05/24.88 | | | | | | | | | | | m2_nattra_1(v33, all_88_12,
% 159.05/24.88 | | | | | | | | | | | all_88_10, v27, v29) | ~
% 159.05/24.88 | | | | | | | | | | | m2_nattra_1(v32, all_88_12,
% 159.05/24.88 | | | | | | | | | | | all_88_10, v26, v27) | ? [v35:
% 159.05/24.88 | | | | | | | | | | | $i] : ? [v36: $i] : (( ~ (v36 =
% 159.05/24.88 | | | | | | | | | | | v14) & k4_tarski(v31, v34) =
% 159.05/24.88 | | | | | | | | | | | v36 & $i(v36)) | ( ~ (v35 = v12)
% 159.05/24.88 | | | | | | | | | | | & k4_tarski(v30, v33) = v35 &
% 159.05/24.88 | | | | | | | | | | | $i(v35)))) & ! [v32: $i] : !
% 159.05/24.88 | | | | | | | | | | | [v33: $i] : ( ~ (k4_tarski(v30, v33) =
% 159.05/24.88 | | | | | | | | | | | v12) | ~ (k4_tarski(v28, v32) =
% 159.05/24.88 | | | | | | | | | | | v11) | ~ $i(v33) | ~ $i(v32) |
% 159.05/24.88 | | | | | | | | | | | ~ m2_nattra_1(v33, all_88_12,
% 159.05/24.88 | | | | | | | | | | | all_88_10, v27, v29) | ~
% 159.05/24.88 | | | | | | | | | | | m2_nattra_1(v32, all_88_12,
% 159.05/24.88 | | | | | | | | | | | all_88_10, v26, v27) | ? [v34:
% 159.05/24.88 | | | | | | | | | | | $i] : ? [v35: $i] : ( ~ (v35 =
% 159.05/24.88 | | | | | | | | | | | v14) & k8_nattra_1(all_88_12,
% 159.05/24.88 | | | | | | | | | | | all_88_10, v26, v27, v29, v32,
% 159.05/24.88 | | | | | | | | | | | v33) = v34 & k4_tarski(v31, v34)
% 159.05/24.88 | | | | | | | | | | | = v35 & $i(v35) & $i(v34))))) & !
% 159.05/24.88 | | | | | | | | | | | [v26: $i] : ! [v27: $i] : ! [v28: $i] :
% 159.05/24.88 | | | | | | | | | | | ! [v29: $i] : ! [v30: $i] : ( ~
% 159.05/24.88 | | | | | | | | | | | (k4_tarski(v26, v29) = v30) | ~
% 159.05/24.88 | | | | | | | | | | | (k4_tarski(v26, v27) = v28) | ~ $i(v29)
% 159.05/24.88 | | | | | | | | | | | | ~ $i(v27) | ~ $i(v26) | ~
% 159.05/24.88 | | | | | | | | | | | m2_cat_1(v29, all_88_12, all_88_10) | ~
% 159.05/24.88 | | | | | | | | | | | m2_cat_1(v27, all_88_12, all_88_10) | ~
% 159.05/24.88 | | | | | | | | | | | m2_cat_1(v26, all_88_12, all_88_10) | ?
% 159.05/24.88 | | | | | | | | | | | [v31: $i] : (k4_tarski(v27, v29) = v31 &
% 159.05/24.88 | | | | | | | | | | | $i(v31) & ! [v32: $i] : ! [v33: $i]
% 159.05/24.88 | | | | | | | | | | | : ! [v34: $i] : ( ~
% 159.05/24.88 | | | | | | | | | | | (k8_nattra_1(all_88_12, all_88_10,
% 159.05/24.88 | | | | | | | | | | | v26, v27, v29, v32, v33) = v34)
% 159.05/24.88 | | | | | | | | | | | | ~ (k4_tarski(v28, v32) = v11) |
% 159.05/24.88 | | | | | | | | | | | ~ $i(v33) | ~ $i(v32) | ~
% 159.05/24.88 | | | | | | | | | | | m2_nattra_1(v33, all_88_12,
% 159.05/24.88 | | | | | | | | | | | all_88_10, v27, v29) | ~
% 159.05/24.88 | | | | | | | | | | | m2_nattra_1(v32, all_88_12,
% 159.05/24.88 | | | | | | | | | | | all_88_10, v26, v27) | ? [v35:
% 159.05/24.88 | | | | | | | | | | | $i] : ? [v36: $i] : (( ~ (v36 =
% 159.05/24.88 | | | | | | | | | | | v14) & k4_tarski(v30, v34) =
% 159.05/24.88 | | | | | | | | | | | v36 & $i(v36)) | ( ~ (v35 = v12)
% 159.05/24.88 | | | | | | | | | | | & k4_tarski(v31, v33) = v35 &
% 159.05/24.88 | | | | | | | | | | | $i(v35)))) & ! [v32: $i] : !
% 159.05/24.88 | | | | | | | | | | | [v33: $i] : ( ~ (k4_tarski(v31, v33) =
% 159.05/24.88 | | | | | | | | | | | v12) | ~ (k4_tarski(v28, v32) =
% 159.05/24.88 | | | | | | | | | | | v11) | ~ $i(v33) | ~ $i(v32) |
% 159.05/24.88 | | | | | | | | | | | ~ m2_nattra_1(v33, all_88_12,
% 159.05/24.88 | | | | | | | | | | | all_88_10, v27, v29) | ~
% 159.05/24.88 | | | | | | | | | | | m2_nattra_1(v32, all_88_12,
% 159.05/24.88 | | | | | | | | | | | all_88_10, v26, v27) | ? [v34:
% 159.05/24.88 | | | | | | | | | | | $i] : ? [v35: $i] : ( ~ (v35 =
% 159.05/24.88 | | | | | | | | | | | v14) & k8_nattra_1(all_88_12,
% 159.05/24.88 | | | | | | | | | | | all_88_10, v26, v27, v29, v32,
% 159.05/24.88 | | | | | | | | | | | v33) = v34 & k4_tarski(v30, v34)
% 159.05/24.88 | | | | | | | | | | | = v35 & $i(v35) & $i(v34)))))) |
% 159.05/24.88 | | | | | | | | | | | (k1_mcart_1(v20) = v22 & u2_cat_1(v0) = v2 &
% 159.05/24.88 | | | | | | | | | | | $i(v22) & $i(v2) & m1_subset_1(v20, v2) &
% 159.05/24.88 | | | | | | | | | | | (( ~ (v25 = v24) & k3_cat_1(v0, v20) = v24
% 159.05/24.88 | | | | | | | | | | | & k2_mcart_1(v22) = v25 & $i(v25) &
% 159.05/24.88 | | | | | | | | | | | $i(v24)) | ( ~ (v23 = v21) &
% 159.05/24.88 | | | | | | | | | | | k2_cat_1(v0, v20) = v21 &
% 159.05/24.88 | | | | | | | | | | | k1_mcart_1(v22) = v23 & $i(v23) &
% 159.05/24.88 | | | | | | | | | | | $i(v21))))) & ( ~ (v0 = all_88_9) |
% 159.05/24.88 | | | | | | | | | | | (v2 = all_269_0 & v1 = all_269_1 &
% 159.05/24.88 | | | | | | | | | | | k1_relat_1(v3) = v4 & u2_cat_1(all_88_9) =
% 159.05/24.88 | | | | | | | | | | | all_269_0 & u5_cat_1(all_88_9) = v3 &
% 159.05/24.88 | | | | | | | | | | | $i(v4) & $i(v3) & ! [v26: $i] : ! [v27:
% 159.05/24.88 | | | | | | | | | | | $i] : ! [v28: $i] : ! [v29: $i] : ( ~
% 159.05/24.88 | | | | | | | | | | | (k13_cat_2(all_88_9, all_88_9, v28, v26)
% 159.05/24.88 | | | | | | | | | | | = v29) | ~ (k3_cat_1(all_88_9, v26) =
% 159.05/24.88 | | | | | | | | | | | v27) | ~ $i(v28) | ~ $i(v26) | ~
% 159.05/24.88 | | | | | | | | | | | m1_subset_1(v28, all_269_0) | ~
% 159.05/24.88 | | | | | | | | | | | m1_subset_1(v26, all_269_0) |
% 159.05/24.88 | | | | | | | | | | | r2_hidden(v29, v4) | ? [v30: $i] : ( ~
% 159.05/24.88 | | | | | | | | | | | (v30 = v27) & k2_cat_1(all_88_9, v28)
% 159.05/24.88 | | | | | | | | | | | = v30 & $i(v30))) & ! [v26: $i] : !
% 159.05/24.88 | | | | | | | | | | | [v27: $i] : ! [v28: $i] : ( ~
% 159.05/24.88 | | | | | | | | | | | (k10_cat_1(all_88_9, v26) = v27) | ~
% 159.05/24.88 | | | | | | | | | | | (k7_nattra_1(all_88_12, all_88_10, v26)
% 159.05/24.88 | | | | | | | | | | | = v28) | ~ $i(v26) | ~ m2_cat_1(v26,
% 159.05/24.88 | | | | | | | | | | | all_88_12, all_88_10) | ~
% 159.05/24.88 | | | | | | | | | | | m1_subset_1(v26, all_269_1) | ? [v29:
% 159.05/24.88 | | | | | | | | | | | $i] : (k4_tarski(v29, v28) = v27 &
% 159.05/24.88 | | | | | | | | | | | k4_tarski(v26, v26) = v29 & $i(v29) &
% 159.05/24.88 | | | | | | | | | | | $i(v27))) & ! [v26: $i] : ! [v27:
% 159.05/24.88 | | | | | | | | | | | $i] : ! [v28: $i] : ( ~
% 159.05/24.88 | | | | | | | | | | | (k10_cat_1(all_88_9, v26) = v27) | ~
% 159.05/24.88 | | | | | | | | | | | (k4_tarski(v26, v26) = v28) | ~ $i(v26)
% 159.05/24.88 | | | | | | | | | | | | ~ m2_cat_1(v26, all_88_12, all_88_10)
% 159.05/24.88 | | | | | | | | | | | | ~ m1_subset_1(v26, all_269_1) | ?
% 159.05/24.88 | | | | | | | | | | | [v29: $i] : (k7_nattra_1(all_88_12,
% 159.05/24.88 | | | | | | | | | | | all_88_10, v26) = v29 &
% 159.05/24.88 | | | | | | | | | | | k4_tarski(v28, v29) = v27 & $i(v29) &
% 159.05/24.88 | | | | | | | | | | | $i(v27))) & ! [v26: $i] : ! [v27:
% 159.05/24.88 | | | | | | | | | | | $i] : ! [v28: $i] : ( ~
% 159.05/24.88 | | | | | | | | | | | (k13_cat_2(all_88_9, all_88_9, v27, v26)
% 159.05/24.88 | | | | | | | | | | | = v28) | ~ $i(v27) | ~ $i(v26) | ~
% 159.05/24.88 | | | | | | | | | | | r2_hidden(v28, v4) | ~ m1_subset_1(v27,
% 159.05/24.88 | | | | | | | | | | | all_269_0) | ~ m1_subset_1(v26,
% 159.05/24.88 | | | | | | | | | | | all_269_0) | ? [v29: $i] : ? [v30:
% 159.05/24.88 | | | | | | | | | | | $i] : ? [v31: $i] : ? [v32: $i] : ?
% 159.05/24.88 | | | | | | | | | | | [v33: $i] : ? [v34: $i] : ? [v35: $i]
% 159.05/24.88 | | | | | | | | | | | : ? [v36: $i] : ? [v37: $i] : ? [v38:
% 159.05/24.88 | | | | | | | | | | | $i] : (k1_funct_1(v3, v28) = v29 &
% 159.05/24.88 | | | | | | | | | | | k8_nattra_1(all_88_12, all_88_10, v30,
% 159.05/24.88 | | | | | | | | | | | v31, v33, v36, v37) = v38 &
% 159.05/24.88 | | | | | | | | | | | k4_tarski(v35, v38) = v29 &
% 159.05/24.88 | | | | | | | | | | | k4_tarski(v34, v37) = v27 &
% 159.05/24.88 | | | | | | | | | | | k4_tarski(v32, v36) = v26 &
% 159.05/24.88 | | | | | | | | | | | k4_tarski(v31, v33) = v34 &
% 159.05/24.88 | | | | | | | | | | | k4_tarski(v30, v33) = v35 &
% 159.05/24.88 | | | | | | | | | | | k4_tarski(v30, v31) = v32 & $i(v38) &
% 159.05/24.88 | | | | | | | | | | | $i(v37) & $i(v36) & $i(v35) & $i(v34)
% 159.05/24.88 | | | | | | | | | | | & $i(v33) & $i(v32) & $i(v31) &
% 159.05/24.88 | | | | | | | | | | | $i(v30) & $i(v29) & m2_nattra_1(v37,
% 159.05/24.88 | | | | | | | | | | | all_88_12, all_88_10, v31, v33) &
% 159.05/24.88 | | | | | | | | | | | m2_nattra_1(v36, all_88_12, all_88_10,
% 159.05/24.88 | | | | | | | | | | | v30, v31) & m2_cat_1(v33, all_88_12,
% 159.05/24.88 | | | | | | | | | | | all_88_10) & m2_cat_1(v31,
% 159.05/24.88 | | | | | | | | | | | all_88_12, all_88_10) &
% 159.05/24.88 | | | | | | | | | | | m2_cat_1(v30, all_88_12, all_88_10)))
% 159.05/24.88 | | | | | | | | | | | & ! [v26: $i] : ! [v27: $i] : ! [v28:
% 159.05/24.88 | | | | | | | | | | | $i] : ( ~ (k2_cat_1(all_88_9, v28) =
% 159.05/24.88 | | | | | | | | | | | v27) | ~ (k3_cat_1(all_88_9, v26) =
% 159.05/24.88 | | | | | | | | | | | v27) | ~ $i(v28) | ~ $i(v26) | ~
% 159.05/24.88 | | | | | | | | | | | m1_subset_1(v28, all_269_0) | ~
% 159.05/24.88 | | | | | | | | | | | m1_subset_1(v26, all_269_0) | ? [v29:
% 159.05/24.88 | | | | | | | | | | | $i] : (k13_cat_2(all_88_9, all_88_9,
% 159.05/24.88 | | | | | | | | | | | v28, v26) = v29 & $i(v29) &
% 159.05/24.88 | | | | | | | | | | | r2_hidden(v29, v4))) & ! [v26: $i] :
% 159.05/24.88 | | | | | | | | | | | ! [v27: $i] : ( ~ (k2_cat_1(all_88_9, v26)
% 159.05/24.88 | | | | | | | | | | | = v27) | ~ $i(v26) | ~
% 159.05/24.88 | | | | | | | | | | | m1_subset_1(v26, all_269_0) | ? [v28:
% 159.05/24.88 | | | | | | | | | | | $i] : ? [v29: $i] : (k1_mcart_1(v28)
% 159.05/24.88 | | | | | | | | | | | = v27 & k1_mcart_1(v26) = v28 &
% 159.05/24.88 | | | | | | | | | | | k3_cat_1(all_88_9, v26) = v29 &
% 159.05/24.88 | | | | | | | | | | | k2_mcart_1(v28) = v29 & $i(v29) &
% 159.05/24.88 | | | | | | | | | | | $i(v28) & $i(v27))) & ! [v26: $i] :
% 159.05/24.88 | | | | | | | | | | | ! [v27: $i] : ( ~ (k1_mcart_1(v26) = v27)
% 159.05/24.88 | | | | | | | | | | | | ~ $i(v26) | ~ m1_subset_1(v26,
% 159.05/24.88 | | | | | | | | | | | all_269_0) | ? [v28: $i] : ? [v29:
% 159.05/24.88 | | | | | | | | | | | $i] : (k2_cat_1(all_88_9, v26) = v28 &
% 159.05/24.88 | | | | | | | | | | | k1_mcart_1(v27) = v28 &
% 159.05/24.88 | | | | | | | | | | | k3_cat_1(all_88_9, v26) = v29 &
% 159.05/24.88 | | | | | | | | | | | k2_mcart_1(v27) = v29 & $i(v29) &
% 159.05/24.88 | | | | | | | | | | | $i(v28))) & ! [v26: $i] : ! [v27:
% 159.05/24.88 | | | | | | | | | | | $i] : ( ~ (k3_cat_1(all_88_9, v26) =
% 159.05/24.88 | | | | | | | | | | | v27) | ~ $i(v26) | ~
% 159.05/24.88 | | | | | | | | | | | m1_subset_1(v26, all_269_0) | ? [v28:
% 159.05/24.88 | | | | | | | | | | | $i] : ? [v29: $i] :
% 159.05/24.88 | | | | | | | | | | | (k2_cat_1(all_88_9, v26) = v28 &
% 159.05/24.88 | | | | | | | | | | | k1_mcart_1(v29) = v28 &
% 159.05/24.88 | | | | | | | | | | | k1_mcart_1(v26) = v29 &
% 159.05/24.88 | | | | | | | | | | | k2_mcart_1(v29) = v27 & $i(v29) &
% 159.05/24.88 | | | | | | | | | | | $i(v28) & $i(v27))))))) & ! [v0: $i]
% 159.05/24.88 | | | | | | | | | | | : ! [v1: $i] : ( ~ (u2_cat_1(v0) = v1) | ~
% 159.05/24.88 | | | | | | | | | | | $i(v0) | ~ v1_cat_1(v0) | ~ l1_cat_1(v0) | ~
% 159.05/24.88 | | | | | | | | | | | v2_cat_1(v0) | ? [v2: $i] : ? [v3: $i] : ?
% 159.05/24.88 | | | | | | | | | | | [v4: $i] : ? [v5: $i] : ? [v6: $i] : ? [v7:
% 159.05/24.88 | | | | | | | | | | | $i] : ? [v8: $i] : ? [v9: $i] : ? [v10: $i]
% 159.05/24.88 | | | | | | | | | | | : ? [v11: $i] : ? [v12: $i] : ? [v13: $i] :
% 159.05/24.88 | | | | | | | | | | | ? [v14: $i] : ? [v15: $i] : ? [v16: $i] : ?
% 159.05/24.88 | | | | | | | | | | | [v17: $i] : ? [v18: $i] : ? [v19: $i] : ?
% 159.05/24.88 | | | | | | | | | | | [v20: $i] : ? [v21: $i] : ? [v22: $i] : ?
% 159.05/24.88 | | | | | | | | | | | [v23: $i] : ? [v24: $i] : ? [v25: $i] :
% 159.05/24.88 | | | | | | | | | | | ($i(v20) & $i(v17) & $i(v15) & $i(v12) & $i(v11)
% 159.05/24.88 | | | | | | | | | | | & $i(v7) & $i(v5) & ( ~ (v1 = all_269_0) | v0
% 159.05/24.88 | | | | | | | | | | | = all_88_9 | (v18 = v16 & k1_relat_1(v3) =
% 159.05/24.88 | | | | | | | | | | | v4 & k13_cat_2(v0, v0, v17, v15) = v19 &
% 159.05/24.88 | | | | | | | | | | | k2_cat_1(v0, v17) = v16 & k3_cat_1(v0,
% 159.05/24.88 | | | | | | | | | | | v15) = v16 & u5_cat_1(v0) = v3 & $i(v19)
% 159.05/24.88 | | | | | | | | | | | & $i(v16) & $i(v4) & $i(v3) &
% 159.05/24.88 | | | | | | | | | | | m1_subset_1(v17, all_269_0) &
% 159.05/24.88 | | | | | | | | | | | m1_subset_1(v15, all_269_0) & ~
% 159.05/24.88 | | | | | | | | | | | r2_hidden(v19, v4)) | (v7 = v5 & ~ (v10 =
% 159.05/24.88 | | | | | | | | | | | v6) & k10_cat_1(v0, v5) = v6 &
% 159.05/24.88 | | | | | | | | | | | k7_nattra_1(all_88_12, all_88_10, v5) = v9
% 159.05/24.88 | | | | | | | | | | | & k4_tarski(v8, v9) = v10 & k4_tarski(v5,
% 159.05/24.88 | | | | | | | | | | | v5) = v8 & u1_cat_1(v0) = v2 & $i(v10) &
% 159.05/24.88 | | | | | | | | | | | $i(v9) & $i(v8) & $i(v6) & $i(v2) &
% 159.05/24.88 | | | | | | | | | | | m2_cat_1(v5, all_88_12, all_88_10) &
% 159.05/24.88 | | | | | | | | | | | m1_subset_1(v5, v2)) | ( ~ (v2 =
% 159.05/24.88 | | | | | | | | | | | all_269_1) & u1_cat_1(v0) = v2 & $i(v2))
% 159.05/24.88 | | | | | | | | | | | | (k1_relat_1(v3) = v4 & k1_funct_1(v3, v13)
% 159.05/24.88 | | | | | | | | | | | = v14 & k13_cat_2(v0, v0, v12, v11) = v13
% 159.05/24.88 | | | | | | | | | | | & u5_cat_1(v0) = v3 & $i(v14) & $i(v13) &
% 159.05/24.88 | | | | | | | | | | | $i(v4) & $i(v3) & r2_hidden(v13, v4) &
% 159.05/24.88 | | | | | | | | | | | m1_subset_1(v12, all_269_0) &
% 159.05/24.88 | | | | | | | | | | | m1_subset_1(v11, all_269_0) & ! [v26: $i]
% 159.05/24.88 | | | | | | | | | | | : ! [v27: $i] : ! [v28: $i] : ! [v29:
% 159.05/24.88 | | | | | | | | | | | $i] : ! [v30: $i] : ( ~ (k4_tarski(v27,
% 159.05/24.88 | | | | | | | | | | | v29) = v30) | ~ (k4_tarski(v26,
% 159.05/24.88 | | | | | | | | | | | v27) = v28) | ~ $i(v29) | ~
% 159.05/24.88 | | | | | | | | | | | $i(v27) | ~ $i(v26) | ~ m2_cat_1(v29,
% 159.05/24.88 | | | | | | | | | | | all_88_12, all_88_10) | ~
% 159.05/24.88 | | | | | | | | | | | m2_cat_1(v27, all_88_12, all_88_10) | ~
% 159.05/24.88 | | | | | | | | | | | m2_cat_1(v26, all_88_12, all_88_10) | ?
% 159.05/24.88 | | | | | | | | | | | [v31: $i] : (k4_tarski(v26, v29) = v31 &
% 159.05/24.88 | | | | | | | | | | | $i(v31) & ! [v32: $i] : ! [v33: $i]
% 159.05/24.88 | | | | | | | | | | | : ! [v34: $i] : ( ~
% 159.05/24.88 | | | | | | | | | | | (k8_nattra_1(all_88_12, all_88_10,
% 159.05/24.88 | | | | | | | | | | | v26, v27, v29, v32, v33) = v34)
% 159.05/24.88 | | | | | | | | | | | | ~ (k4_tarski(v28, v32) = v11) |
% 159.05/24.88 | | | | | | | | | | | ~ $i(v33) | ~ $i(v32) | ~
% 159.05/24.88 | | | | | | | | | | | m2_nattra_1(v33, all_88_12,
% 159.05/24.88 | | | | | | | | | | | all_88_10, v27, v29) | ~
% 159.05/24.88 | | | | | | | | | | | m2_nattra_1(v32, all_88_12,
% 159.05/24.88 | | | | | | | | | | | all_88_10, v26, v27) | ? [v35:
% 159.05/24.88 | | | | | | | | | | | $i] : ? [v36: $i] : (( ~ (v36 =
% 159.05/24.88 | | | | | | | | | | | v14) & k4_tarski(v31, v34) =
% 159.05/24.88 | | | | | | | | | | | v36 & $i(v36)) | ( ~ (v35 = v12)
% 159.05/24.88 | | | | | | | | | | | & k4_tarski(v30, v33) = v35 &
% 159.05/24.88 | | | | | | | | | | | $i(v35)))) & ! [v32: $i] : !
% 159.05/24.88 | | | | | | | | | | | [v33: $i] : ( ~ (k4_tarski(v30, v33) =
% 159.05/24.88 | | | | | | | | | | | v12) | ~ (k4_tarski(v28, v32) =
% 159.05/24.88 | | | | | | | | | | | v11) | ~ $i(v33) | ~ $i(v32) |
% 159.05/24.88 | | | | | | | | | | | ~ m2_nattra_1(v33, all_88_12,
% 159.05/24.88 | | | | | | | | | | | all_88_10, v27, v29) | ~
% 159.05/24.88 | | | | | | | | | | | m2_nattra_1(v32, all_88_12,
% 159.05/24.88 | | | | | | | | | | | all_88_10, v26, v27) | ? [v34:
% 159.05/24.88 | | | | | | | | | | | $i] : ? [v35: $i] : ( ~ (v35 =
% 159.05/24.88 | | | | | | | | | | | v14) & k8_nattra_1(all_88_12,
% 159.05/24.88 | | | | | | | | | | | all_88_10, v26, v27, v29, v32,
% 159.05/24.88 | | | | | | | | | | | v33) = v34 & k4_tarski(v31, v34)
% 159.05/24.88 | | | | | | | | | | | = v35 & $i(v35) & $i(v34))))) & !
% 159.05/24.88 | | | | | | | | | | | [v26: $i] : ! [v27: $i] : ! [v28: $i] :
% 159.05/24.88 | | | | | | | | | | | ! [v29: $i] : ! [v30: $i] : ( ~
% 159.05/24.88 | | | | | | | | | | | (k4_tarski(v26, v29) = v30) | ~
% 159.05/24.88 | | | | | | | | | | | (k4_tarski(v26, v27) = v28) | ~ $i(v29)
% 159.05/24.88 | | | | | | | | | | | | ~ $i(v27) | ~ $i(v26) | ~
% 159.05/24.88 | | | | | | | | | | | m2_cat_1(v29, all_88_12, all_88_10) | ~
% 159.05/24.88 | | | | | | | | | | | m2_cat_1(v27, all_88_12, all_88_10) | ~
% 159.05/24.88 | | | | | | | | | | | m2_cat_1(v26, all_88_12, all_88_10) | ?
% 159.05/24.88 | | | | | | | | | | | [v31: $i] : (k4_tarski(v27, v29) = v31 &
% 159.05/24.88 | | | | | | | | | | | $i(v31) & ! [v32: $i] : ! [v33: $i]
% 159.05/24.88 | | | | | | | | | | | : ! [v34: $i] : ( ~
% 159.05/24.88 | | | | | | | | | | | (k8_nattra_1(all_88_12, all_88_10,
% 159.05/24.88 | | | | | | | | | | | v26, v27, v29, v32, v33) = v34)
% 159.05/24.88 | | | | | | | | | | | | ~ (k4_tarski(v28, v32) = v11) |
% 159.05/24.88 | | | | | | | | | | | ~ $i(v33) | ~ $i(v32) | ~
% 159.05/24.88 | | | | | | | | | | | m2_nattra_1(v33, all_88_12,
% 159.05/24.88 | | | | | | | | | | | all_88_10, v27, v29) | ~
% 159.05/24.88 | | | | | | | | | | | m2_nattra_1(v32, all_88_12,
% 159.05/24.88 | | | | | | | | | | | all_88_10, v26, v27) | ? [v35:
% 159.05/24.88 | | | | | | | | | | | $i] : ? [v36: $i] : (( ~ (v36 =
% 159.05/24.88 | | | | | | | | | | | v14) & k4_tarski(v30, v34) =
% 159.05/24.88 | | | | | | | | | | | v36 & $i(v36)) | ( ~ (v35 = v12)
% 159.05/24.88 | | | | | | | | | | | & k4_tarski(v31, v33) = v35 &
% 159.05/24.88 | | | | | | | | | | | $i(v35)))) & ! [v32: $i] : !
% 159.05/24.88 | | | | | | | | | | | [v33: $i] : ( ~ (k4_tarski(v31, v33) =
% 159.05/24.88 | | | | | | | | | | | v12) | ~ (k4_tarski(v28, v32) =
% 159.05/24.88 | | | | | | | | | | | v11) | ~ $i(v33) | ~ $i(v32) |
% 159.05/24.88 | | | | | | | | | | | ~ m2_nattra_1(v33, all_88_12,
% 159.05/24.88 | | | | | | | | | | | all_88_10, v27, v29) | ~
% 159.05/24.88 | | | | | | | | | | | m2_nattra_1(v32, all_88_12,
% 159.05/24.88 | | | | | | | | | | | all_88_10, v26, v27) | ? [v34:
% 159.05/24.88 | | | | | | | | | | | $i] : ? [v35: $i] : ( ~ (v35 =
% 159.05/24.88 | | | | | | | | | | | v14) & k8_nattra_1(all_88_12,
% 159.05/24.88 | | | | | | | | | | | all_88_10, v26, v27, v29, v32,
% 159.05/24.88 | | | | | | | | | | | v33) = v34 & k4_tarski(v30, v34)
% 159.05/24.88 | | | | | | | | | | | = v35 & $i(v35) & $i(v34)))))) |
% 159.05/24.88 | | | | | | | | | | | (k1_mcart_1(v20) = v22 & $i(v22) &
% 159.05/24.88 | | | | | | | | | | | m1_subset_1(v20, all_269_0) & (( ~ (v25 =
% 159.05/24.88 | | | | | | | | | | | v24) & k3_cat_1(v0, v20) = v24 &
% 159.05/24.88 | | | | | | | | | | | k2_mcart_1(v22) = v25 & $i(v25) &
% 159.05/24.88 | | | | | | | | | | | $i(v24)) | ( ~ (v23 = v21) &
% 159.05/24.88 | | | | | | | | | | | k2_cat_1(v0, v20) = v21 &
% 159.05/24.88 | | | | | | | | | | | k1_mcart_1(v22) = v23 & $i(v23) &
% 159.05/24.88 | | | | | | | | | | | $i(v21))))) & ( ~ (v0 = all_88_9) |
% 159.05/24.88 | | | | | | | | | | | (v2 = all_269_1 & v1 = all_269_0 &
% 159.05/24.88 | | | | | | | | | | | k1_relat_1(v3) = v4 & u1_cat_1(all_88_9) =
% 159.05/24.88 | | | | | | | | | | | all_269_1 & u5_cat_1(all_88_9) = v3 &
% 159.05/24.88 | | | | | | | | | | | $i(v4) & $i(v3) & ! [v26: $i] : ! [v27:
% 159.05/24.88 | | | | | | | | | | | $i] : ! [v28: $i] : ! [v29: $i] : ( ~
% 159.05/24.88 | | | | | | | | | | | (k13_cat_2(all_88_9, all_88_9, v28, v26)
% 159.05/24.88 | | | | | | | | | | | = v29) | ~ (k3_cat_1(all_88_9, v26) =
% 159.05/24.88 | | | | | | | | | | | v27) | ~ $i(v28) | ~ $i(v26) | ~
% 159.05/24.88 | | | | | | | | | | | m1_subset_1(v28, all_269_0) | ~
% 159.05/24.88 | | | | | | | | | | | m1_subset_1(v26, all_269_0) |
% 159.05/24.88 | | | | | | | | | | | r2_hidden(v29, v4) | ? [v30: $i] : ( ~
% 159.05/24.88 | | | | | | | | | | | (v30 = v27) & k2_cat_1(all_88_9, v28)
% 159.05/24.88 | | | | | | | | | | | = v30 & $i(v30))) & ! [v26: $i] : !
% 159.05/24.88 | | | | | | | | | | | [v27: $i] : ! [v28: $i] : ( ~
% 159.05/24.88 | | | | | | | | | | | (k10_cat_1(all_88_9, v26) = v27) | ~
% 159.05/24.88 | | | | | | | | | | | (k7_nattra_1(all_88_12, all_88_10, v26)
% 159.05/24.88 | | | | | | | | | | | = v28) | ~ $i(v26) | ~ m2_cat_1(v26,
% 159.05/24.88 | | | | | | | | | | | all_88_12, all_88_10) | ~
% 159.05/24.88 | | | | | | | | | | | m1_subset_1(v26, all_269_1) | ? [v29:
% 159.05/24.88 | | | | | | | | | | | $i] : (k4_tarski(v29, v28) = v27 &
% 159.05/24.88 | | | | | | | | | | | k4_tarski(v26, v26) = v29 & $i(v29) &
% 159.05/24.88 | | | | | | | | | | | $i(v27))) & ! [v26: $i] : ! [v27:
% 159.05/24.88 | | | | | | | | | | | $i] : ! [v28: $i] : ( ~
% 159.05/24.88 | | | | | | | | | | | (k10_cat_1(all_88_9, v26) = v27) | ~
% 159.05/24.88 | | | | | | | | | | | (k4_tarski(v26, v26) = v28) | ~ $i(v26)
% 159.05/24.88 | | | | | | | | | | | | ~ m2_cat_1(v26, all_88_12, all_88_10)
% 159.05/24.88 | | | | | | | | | | | | ~ m1_subset_1(v26, all_269_1) | ?
% 159.05/24.88 | | | | | | | | | | | [v29: $i] : (k7_nattra_1(all_88_12,
% 159.05/24.88 | | | | | | | | | | | all_88_10, v26) = v29 &
% 159.05/24.88 | | | | | | | | | | | k4_tarski(v28, v29) = v27 & $i(v29) &
% 159.05/24.88 | | | | | | | | | | | $i(v27))) & ! [v26: $i] : ! [v27:
% 159.05/24.88 | | | | | | | | | | | $i] : ! [v28: $i] : ( ~
% 159.05/24.88 | | | | | | | | | | | (k13_cat_2(all_88_9, all_88_9, v27, v26)
% 159.05/24.88 | | | | | | | | | | | = v28) | ~ $i(v27) | ~ $i(v26) | ~
% 159.05/24.88 | | | | | | | | | | | r2_hidden(v28, v4) | ~ m1_subset_1(v27,
% 159.05/24.88 | | | | | | | | | | | all_269_0) | ~ m1_subset_1(v26,
% 159.05/24.88 | | | | | | | | | | | all_269_0) | ? [v29: $i] : ? [v30:
% 159.05/24.88 | | | | | | | | | | | $i] : ? [v31: $i] : ? [v32: $i] : ?
% 159.05/24.88 | | | | | | | | | | | [v33: $i] : ? [v34: $i] : ? [v35: $i]
% 159.05/24.88 | | | | | | | | | | | : ? [v36: $i] : ? [v37: $i] : ? [v38:
% 159.05/24.88 | | | | | | | | | | | $i] : (k1_funct_1(v3, v28) = v29 &
% 159.05/24.88 | | | | | | | | | | | k8_nattra_1(all_88_12, all_88_10, v30,
% 159.05/24.88 | | | | | | | | | | | v31, v33, v36, v37) = v38 &
% 159.05/24.88 | | | | | | | | | | | k4_tarski(v35, v38) = v29 &
% 159.05/24.88 | | | | | | | | | | | k4_tarski(v34, v37) = v27 &
% 159.05/24.88 | | | | | | | | | | | k4_tarski(v32, v36) = v26 &
% 159.05/24.88 | | | | | | | | | | | k4_tarski(v31, v33) = v34 &
% 159.05/24.88 | | | | | | | | | | | k4_tarski(v30, v33) = v35 &
% 159.05/24.88 | | | | | | | | | | | k4_tarski(v30, v31) = v32 & $i(v38) &
% 159.05/24.88 | | | | | | | | | | | $i(v37) & $i(v36) & $i(v35) & $i(v34)
% 159.05/24.88 | | | | | | | | | | | & $i(v33) & $i(v32) & $i(v31) &
% 159.05/24.88 | | | | | | | | | | | $i(v30) & $i(v29) & m2_nattra_1(v37,
% 159.05/24.88 | | | | | | | | | | | all_88_12, all_88_10, v31, v33) &
% 159.05/24.88 | | | | | | | | | | | m2_nattra_1(v36, all_88_12, all_88_10,
% 159.05/24.88 | | | | | | | | | | | v30, v31) & m2_cat_1(v33, all_88_12,
% 159.05/24.88 | | | | | | | | | | | all_88_10) & m2_cat_1(v31,
% 159.05/24.88 | | | | | | | | | | | all_88_12, all_88_10) &
% 159.05/24.88 | | | | | | | | | | | m2_cat_1(v30, all_88_12, all_88_10)))
% 159.05/24.88 | | | | | | | | | | | & ! [v26: $i] : ! [v27: $i] : ! [v28:
% 159.05/24.88 | | | | | | | | | | | $i] : ( ~ (k2_cat_1(all_88_9, v28) =
% 159.05/24.88 | | | | | | | | | | | v27) | ~ (k3_cat_1(all_88_9, v26) =
% 159.05/24.88 | | | | | | | | | | | v27) | ~ $i(v28) | ~ $i(v26) | ~
% 159.05/24.88 | | | | | | | | | | | m1_subset_1(v28, all_269_0) | ~
% 159.05/24.88 | | | | | | | | | | | m1_subset_1(v26, all_269_0) | ? [v29:
% 159.05/24.88 | | | | | | | | | | | $i] : (k13_cat_2(all_88_9, all_88_9,
% 159.05/24.88 | | | | | | | | | | | v28, v26) = v29 & $i(v29) &
% 159.05/24.88 | | | | | | | | | | | r2_hidden(v29, v4))) & ! [v26: $i] :
% 159.05/24.88 | | | | | | | | | | | ! [v27: $i] : ( ~ (k2_cat_1(all_88_9, v26)
% 159.05/24.88 | | | | | | | | | | | = v27) | ~ $i(v26) | ~
% 159.05/24.88 | | | | | | | | | | | m1_subset_1(v26, all_269_0) | ? [v28:
% 159.05/24.88 | | | | | | | | | | | $i] : ? [v29: $i] : (k1_mcart_1(v28)
% 159.05/24.88 | | | | | | | | | | | = v27 & k1_mcart_1(v26) = v28 &
% 159.05/24.88 | | | | | | | | | | | k3_cat_1(all_88_9, v26) = v29 &
% 159.05/24.88 | | | | | | | | | | | k2_mcart_1(v28) = v29 & $i(v29) &
% 159.05/24.88 | | | | | | | | | | | $i(v28) & $i(v27))) & ! [v26: $i] :
% 159.05/24.88 | | | | | | | | | | | ! [v27: $i] : ( ~ (k1_mcart_1(v26) = v27)
% 159.05/24.88 | | | | | | | | | | | | ~ $i(v26) | ~ m1_subset_1(v26,
% 159.05/24.88 | | | | | | | | | | | all_269_0) | ? [v28: $i] : ? [v29:
% 159.05/24.88 | | | | | | | | | | | $i] : (k2_cat_1(all_88_9, v26) = v28 &
% 159.05/24.88 | | | | | | | | | | | k1_mcart_1(v27) = v28 &
% 159.05/24.88 | | | | | | | | | | | k3_cat_1(all_88_9, v26) = v29 &
% 159.05/24.88 | | | | | | | | | | | k2_mcart_1(v27) = v29 & $i(v29) &
% 159.05/24.88 | | | | | | | | | | | $i(v28))) & ! [v26: $i] : ! [v27:
% 159.05/24.88 | | | | | | | | | | | $i] : ( ~ (k3_cat_1(all_88_9, v26) =
% 159.05/24.88 | | | | | | | | | | | v27) | ~ $i(v26) | ~
% 159.05/24.88 | | | | | | | | | | | m1_subset_1(v26, all_269_0) | ? [v28:
% 159.05/24.88 | | | | | | | | | | | $i] : ? [v29: $i] :
% 159.05/24.88 | | | | | | | | | | | (k2_cat_1(all_88_9, v26) = v28 &
% 159.05/24.88 | | | | | | | | | | | k1_mcart_1(v29) = v28 &
% 159.05/24.88 | | | | | | | | | | | k1_mcart_1(v26) = v29 &
% 159.05/24.88 | | | | | | | | | | | k2_mcart_1(v29) = v27 & $i(v29) &
% 159.05/24.88 | | | | | | | | | | | $i(v28) & $i(v27))))))) & ! [v0: $i]
% 159.05/24.88 | | | | | | | | | | | : ! [v1: $i] : ( ~ (u5_cat_1(v0) = v1) | ~
% 159.05/24.88 | | | | | | | | | | | $i(v0) | ~ v1_cat_1(v0) | ~ l1_cat_1(v0) | ~
% 159.05/24.88 | | | | | | | | | | | v2_cat_1(v0) | ? [v2: any] : ? [v3: any] : ?
% 159.05/24.88 | | | | | | | | | | | [v4: $i] : ? [v5: $i] : ? [v6: $i] : ? [v7:
% 159.05/24.88 | | | | | | | | | | | $i] : ? [v8: $i] : ? [v9: $i] : ? [v10: $i]
% 159.05/24.88 | | | | | | | | | | | : ? [v11: $i] : ? [v12: $i] : ? [v13: $i] :
% 159.05/24.88 | | | | | | | | | | | ? [v14: $i] : ? [v15: $i] : ? [v16: $i] : ?
% 159.05/24.88 | | | | | | | | | | | [v17: $i] : ? [v18: $i] : ? [v19: $i] : ?
% 159.05/24.88 | | | | | | | | | | | [v20: $i] : ? [v21: $i] : ? [v22: $i] : ?
% 159.05/24.88 | | | | | | | | | | | [v23: $i] : ? [v24: $i] : ? [v25: $i] :
% 159.05/24.88 | | | | | | | | | | | ($i(v20) & $i(v17) & $i(v15) & $i(v12) & $i(v11)
% 159.05/24.88 | | | | | | | | | | | & $i(v7) & $i(v5) & ( ~ (v0 = all_88_9) | (v3
% 159.05/24.88 | | | | | | | | | | | = all_269_0 & v2 = all_269_1 &
% 159.05/24.88 | | | | | | | | | | | k1_relat_1(v1) = v4 & u1_cat_1(all_88_9) =
% 159.05/24.88 | | | | | | | | | | | all_269_1 & u2_cat_1(all_88_9) = all_269_0
% 159.05/24.88 | | | | | | | | | | | & $i(v4) & ! [v26: $i] : ! [v27: $i] :
% 159.05/24.88 | | | | | | | | | | | ! [v28: $i] : ! [v29: $i] : ( ~
% 159.05/24.88 | | | | | | | | | | | (k13_cat_2(all_88_9, all_88_9, v28, v26)
% 159.05/24.88 | | | | | | | | | | | = v29) | ~ (k3_cat_1(all_88_9, v26) =
% 159.05/24.88 | | | | | | | | | | | v27) | ~ $i(v28) | ~ $i(v26) | ~
% 159.05/24.88 | | | | | | | | | | | m1_subset_1(v28, all_269_0) | ~
% 159.05/24.88 | | | | | | | | | | | m1_subset_1(v26, all_269_0) |
% 159.05/24.88 | | | | | | | | | | | r2_hidden(v29, v4) | ? [v30: $i] : ( ~
% 159.05/24.88 | | | | | | | | | | | (v30 = v27) & k2_cat_1(all_88_9, v28)
% 159.05/24.88 | | | | | | | | | | | = v30 & $i(v30))) & ! [v26: $i] : !
% 159.05/24.88 | | | | | | | | | | | [v27: $i] : ! [v28: $i] : ( ~
% 159.05/24.88 | | | | | | | | | | | (k10_cat_1(all_88_9, v26) = v27) | ~
% 159.05/24.88 | | | | | | | | | | | (k7_nattra_1(all_88_12, all_88_10, v26)
% 159.05/24.88 | | | | | | | | | | | = v28) | ~ $i(v26) | ~ m2_cat_1(v26,
% 159.05/24.88 | | | | | | | | | | | all_88_12, all_88_10) | ~
% 159.05/24.88 | | | | | | | | | | | m1_subset_1(v26, all_269_1) | ? [v29:
% 159.05/24.88 | | | | | | | | | | | $i] : (k4_tarski(v29, v28) = v27 &
% 159.05/24.88 | | | | | | | | | | | k4_tarski(v26, v26) = v29 & $i(v29) &
% 159.05/24.88 | | | | | | | | | | | $i(v27))) & ! [v26: $i] : ! [v27:
% 159.05/24.88 | | | | | | | | | | | $i] : ! [v28: $i] : ( ~
% 159.05/24.88 | | | | | | | | | | | (k10_cat_1(all_88_9, v26) = v27) | ~
% 159.05/24.88 | | | | | | | | | | | (k4_tarski(v26, v26) = v28) | ~ $i(v26)
% 159.05/24.88 | | | | | | | | | | | | ~ m2_cat_1(v26, all_88_12, all_88_10)
% 159.05/24.88 | | | | | | | | | | | | ~ m1_subset_1(v26, all_269_1) | ?
% 159.05/24.88 | | | | | | | | | | | [v29: $i] : (k7_nattra_1(all_88_12,
% 159.05/24.88 | | | | | | | | | | | all_88_10, v26) = v29 &
% 159.05/24.88 | | | | | | | | | | | k4_tarski(v28, v29) = v27 & $i(v29) &
% 159.05/24.88 | | | | | | | | | | | $i(v27))) & ! [v26: $i] : ! [v27:
% 159.05/24.88 | | | | | | | | | | | $i] : ! [v28: $i] : ( ~
% 159.05/24.88 | | | | | | | | | | | (k13_cat_2(all_88_9, all_88_9, v27, v26)
% 159.05/24.88 | | | | | | | | | | | = v28) | ~ $i(v27) | ~ $i(v26) | ~
% 159.05/24.88 | | | | | | | | | | | r2_hidden(v28, v4) | ~ m1_subset_1(v27,
% 159.05/24.88 | | | | | | | | | | | all_269_0) | ~ m1_subset_1(v26,
% 159.05/24.88 | | | | | | | | | | | all_269_0) | ? [v29: $i] : ? [v30:
% 159.05/24.88 | | | | | | | | | | | $i] : ? [v31: $i] : ? [v32: $i] : ?
% 159.05/24.88 | | | | | | | | | | | [v33: $i] : ? [v34: $i] : ? [v35: $i]
% 159.05/24.88 | | | | | | | | | | | : ? [v36: $i] : ? [v37: $i] : ? [v38:
% 159.05/24.88 | | | | | | | | | | | $i] : (k1_funct_1(v1, v28) = v29 &
% 159.05/24.88 | | | | | | | | | | | k8_nattra_1(all_88_12, all_88_10, v30,
% 159.05/24.88 | | | | | | | | | | | v31, v33, v36, v37) = v38 &
% 159.05/24.88 | | | | | | | | | | | k4_tarski(v35, v38) = v29 &
% 159.05/24.88 | | | | | | | | | | | k4_tarski(v34, v37) = v27 &
% 159.05/24.88 | | | | | | | | | | | k4_tarski(v32, v36) = v26 &
% 159.05/24.88 | | | | | | | | | | | k4_tarski(v31, v33) = v34 &
% 159.05/24.88 | | | | | | | | | | | k4_tarski(v30, v33) = v35 &
% 159.05/24.88 | | | | | | | | | | | k4_tarski(v30, v31) = v32 & $i(v38) &
% 159.05/24.88 | | | | | | | | | | | $i(v37) & $i(v36) & $i(v35) & $i(v34)
% 159.05/24.88 | | | | | | | | | | | & $i(v33) & $i(v32) & $i(v31) &
% 159.05/24.88 | | | | | | | | | | | $i(v30) & $i(v29) & m2_nattra_1(v37,
% 159.05/24.88 | | | | | | | | | | | all_88_12, all_88_10, v31, v33) &
% 159.05/24.88 | | | | | | | | | | | m2_nattra_1(v36, all_88_12, all_88_10,
% 159.05/24.88 | | | | | | | | | | | v30, v31) & m2_cat_1(v33, all_88_12,
% 159.05/24.88 | | | | | | | | | | | all_88_10) & m2_cat_1(v31,
% 159.05/24.88 | | | | | | | | | | | all_88_12, all_88_10) &
% 159.05/24.88 | | | | | | | | | | | m2_cat_1(v30, all_88_12, all_88_10)))
% 159.05/24.88 | | | | | | | | | | | & ! [v26: $i] : ! [v27: $i] : ! [v28:
% 159.05/24.88 | | | | | | | | | | | $i] : ( ~ (k2_cat_1(all_88_9, v28) =
% 159.05/24.88 | | | | | | | | | | | v27) | ~ (k3_cat_1(all_88_9, v26) =
% 159.05/24.88 | | | | | | | | | | | v27) | ~ $i(v28) | ~ $i(v26) | ~
% 159.05/24.88 | | | | | | | | | | | m1_subset_1(v28, all_269_0) | ~
% 159.05/24.88 | | | | | | | | | | | m1_subset_1(v26, all_269_0) | ? [v29:
% 159.05/24.88 | | | | | | | | | | | $i] : (k13_cat_2(all_88_9, all_88_9,
% 159.05/24.88 | | | | | | | | | | | v28, v26) = v29 & $i(v29) &
% 159.05/24.88 | | | | | | | | | | | r2_hidden(v29, v4))) & ! [v26: $i] :
% 159.05/24.88 | | | | | | | | | | | ! [v27: $i] : ( ~ (k2_cat_1(all_88_9, v26)
% 159.05/24.88 | | | | | | | | | | | = v27) | ~ $i(v26) | ~
% 159.05/24.88 | | | | | | | | | | | m1_subset_1(v26, all_269_0) | ? [v28:
% 159.05/24.88 | | | | | | | | | | | $i] : ? [v29: $i] : (k1_mcart_1(v28)
% 159.05/24.88 | | | | | | | | | | | = v27 & k1_mcart_1(v26) = v28 &
% 159.05/24.88 | | | | | | | | | | | k3_cat_1(all_88_9, v26) = v29 &
% 159.05/24.88 | | | | | | | | | | | k2_mcart_1(v28) = v29 & $i(v29) &
% 159.05/24.88 | | | | | | | | | | | $i(v28) & $i(v27))) & ! [v26: $i] :
% 159.05/24.88 | | | | | | | | | | | ! [v27: $i] : ( ~ (k1_mcart_1(v26) = v27)
% 159.05/24.88 | | | | | | | | | | | | ~ $i(v26) | ~ m1_subset_1(v26,
% 159.05/24.88 | | | | | | | | | | | all_269_0) | ? [v28: $i] : ? [v29:
% 159.05/24.88 | | | | | | | | | | | $i] : (k2_cat_1(all_88_9, v26) = v28 &
% 159.05/24.88 | | | | | | | | | | | k1_mcart_1(v27) = v28 &
% 159.05/24.88 | | | | | | | | | | | k3_cat_1(all_88_9, v26) = v29 &
% 159.05/24.88 | | | | | | | | | | | k2_mcart_1(v27) = v29 & $i(v29) &
% 159.05/24.88 | | | | | | | | | | | $i(v28))) & ! [v26: $i] : ! [v27:
% 159.05/24.88 | | | | | | | | | | | $i] : ( ~ (k3_cat_1(all_88_9, v26) =
% 159.05/24.88 | | | | | | | | | | | v27) | ~ $i(v26) | ~
% 159.05/24.88 | | | | | | | | | | | m1_subset_1(v26, all_269_0) | ? [v28:
% 159.05/24.88 | | | | | | | | | | | $i] : ? [v29: $i] :
% 159.05/24.88 | | | | | | | | | | | (k2_cat_1(all_88_9, v26) = v28 &
% 159.05/24.88 | | | | | | | | | | | k1_mcart_1(v29) = v28 &
% 159.05/24.88 | | | | | | | | | | | k1_mcart_1(v26) = v29 &
% 159.05/24.88 | | | | | | | | | | | k2_mcart_1(v29) = v27 & $i(v29) &
% 159.05/24.88 | | | | | | | | | | | $i(v28) & $i(v27))))) & (v0 = all_88_9
% 159.05/24.88 | | | | | | | | | | | | (v18 = v16 & k1_relat_1(v1) = v4 &
% 159.05/24.88 | | | | | | | | | | | k13_cat_2(v0, v0, v17, v15) = v19 &
% 159.05/24.88 | | | | | | | | | | | k2_cat_1(v0, v17) = v16 & k3_cat_1(v0,
% 159.05/24.88 | | | | | | | | | | | v15) = v16 & u2_cat_1(v0) = v3 & $i(v19)
% 159.05/24.88 | | | | | | | | | | | & $i(v16) & $i(v4) & $i(v3) &
% 159.05/24.88 | | | | | | | | | | | m1_subset_1(v17, v3) & m1_subset_1(v15,
% 159.05/24.88 | | | | | | | | | | | v3) & ~ r2_hidden(v19, v4)) | (v7 = v5
% 159.05/24.88 | | | | | | | | | | | & ~ (v10 = v6) & k10_cat_1(v0, v5) = v6 &
% 159.05/24.88 | | | | | | | | | | | k7_nattra_1(all_88_12, all_88_10, v5) = v9
% 159.05/24.88 | | | | | | | | | | | & k4_tarski(v8, v9) = v10 & k4_tarski(v5,
% 159.05/24.88 | | | | | | | | | | | v5) = v8 & u1_cat_1(v0) = v2 & $i(v10) &
% 159.05/24.88 | | | | | | | | | | | $i(v9) & $i(v8) & $i(v6) & $i(v2) &
% 159.05/24.88 | | | | | | | | | | | m2_cat_1(v5, all_88_12, all_88_10) &
% 159.05/24.88 | | | | | | | | | | | m1_subset_1(v5, v2)) | ( ~ (v3 =
% 159.05/24.88 | | | | | | | | | | | all_269_0) & u2_cat_1(v0) = v3 & $i(v3))
% 159.05/24.88 | | | | | | | | | | | | ( ~ (v2 = all_269_1) & u1_cat_1(v0) = v2 &
% 159.05/24.88 | | | | | | | | | | | $i(v2)) | (k1_relat_1(v1) = v4 &
% 159.05/24.88 | | | | | | | | | | | k1_funct_1(v1, v13) = v14 & k13_cat_2(v0,
% 159.05/24.88 | | | | | | | | | | | v0, v12, v11) = v13 & u2_cat_1(v0) = v3
% 159.05/24.88 | | | | | | | | | | | & $i(v14) & $i(v13) & $i(v4) & $i(v3) &
% 159.05/24.88 | | | | | | | | | | | r2_hidden(v13, v4) & m1_subset_1(v12, v3)
% 159.05/24.88 | | | | | | | | | | | & m1_subset_1(v11, v3) & ! [v26: $i] : !
% 159.05/24.88 | | | | | | | | | | | [v27: $i] : ! [v28: $i] : ! [v29: $i] :
% 159.05/24.88 | | | | | | | | | | | ! [v30: $i] : ( ~ (k4_tarski(v27, v29) =
% 159.05/24.88 | | | | | | | | | | | v30) | ~ (k4_tarski(v26, v27) = v28)
% 159.05/24.88 | | | | | | | | | | | | ~ $i(v29) | ~ $i(v27) | ~ $i(v26) |
% 159.05/24.88 | | | | | | | | | | | ~ m2_cat_1(v29, all_88_12, all_88_10) |
% 159.05/24.88 | | | | | | | | | | | ~ m2_cat_1(v27, all_88_12, all_88_10) |
% 159.05/24.88 | | | | | | | | | | | ~ m2_cat_1(v26, all_88_12, all_88_10) |
% 159.05/24.88 | | | | | | | | | | | ? [v31: $i] : (k4_tarski(v26, v29) =
% 159.05/24.88 | | | | | | | | | | | v31 & $i(v31) & ! [v32: $i] : !
% 159.05/24.88 | | | | | | | | | | | [v33: $i] : ! [v34: $i] : ( ~
% 159.05/24.88 | | | | | | | | | | | (k8_nattra_1(all_88_12, all_88_10,
% 159.05/24.88 | | | | | | | | | | | v26, v27, v29, v32, v33) = v34)
% 159.05/24.88 | | | | | | | | | | | | ~ (k4_tarski(v28, v32) = v11) |
% 159.05/24.88 | | | | | | | | | | | ~ $i(v33) | ~ $i(v32) | ~
% 159.05/24.88 | | | | | | | | | | | m2_nattra_1(v33, all_88_12,
% 159.05/24.88 | | | | | | | | | | | all_88_10, v27, v29) | ~
% 159.05/24.88 | | | | | | | | | | | m2_nattra_1(v32, all_88_12,
% 159.05/24.88 | | | | | | | | | | | all_88_10, v26, v27) | ? [v35:
% 159.05/24.88 | | | | | | | | | | | $i] : ? [v36: $i] : (( ~ (v36 =
% 159.05/24.88 | | | | | | | | | | | v14) & k4_tarski(v31, v34) =
% 159.05/24.88 | | | | | | | | | | | v36 & $i(v36)) | ( ~ (v35 = v12)
% 159.05/24.88 | | | | | | | | | | | & k4_tarski(v30, v33) = v35 &
% 159.05/24.88 | | | | | | | | | | | $i(v35)))) & ! [v32: $i] : !
% 159.05/24.88 | | | | | | | | | | | [v33: $i] : ( ~ (k4_tarski(v30, v33) =
% 159.05/24.88 | | | | | | | | | | | v12) | ~ (k4_tarski(v28, v32) =
% 159.05/24.88 | | | | | | | | | | | v11) | ~ $i(v33) | ~ $i(v32) |
% 159.05/24.88 | | | | | | | | | | | ~ m2_nattra_1(v33, all_88_12,
% 159.05/24.88 | | | | | | | | | | | all_88_10, v27, v29) | ~
% 159.05/24.88 | | | | | | | | | | | m2_nattra_1(v32, all_88_12,
% 159.05/24.88 | | | | | | | | | | | all_88_10, v26, v27) | ? [v34:
% 159.05/24.88 | | | | | | | | | | | $i] : ? [v35: $i] : ( ~ (v35 =
% 159.05/24.88 | | | | | | | | | | | v14) & k8_nattra_1(all_88_12,
% 159.05/24.88 | | | | | | | | | | | all_88_10, v26, v27, v29, v32,
% 159.05/24.88 | | | | | | | | | | | v33) = v34 & k4_tarski(v31, v34)
% 159.05/24.88 | | | | | | | | | | | = v35 & $i(v35) & $i(v34))))) & !
% 159.05/24.88 | | | | | | | | | | | [v26: $i] : ! [v27: $i] : ! [v28: $i] :
% 159.05/24.88 | | | | | | | | | | | ! [v29: $i] : ! [v30: $i] : ( ~
% 159.05/24.88 | | | | | | | | | | | (k4_tarski(v26, v29) = v30) | ~
% 159.05/24.88 | | | | | | | | | | | (k4_tarski(v26, v27) = v28) | ~ $i(v29)
% 159.05/24.88 | | | | | | | | | | | | ~ $i(v27) | ~ $i(v26) | ~
% 159.05/24.88 | | | | | | | | | | | m2_cat_1(v29, all_88_12, all_88_10) | ~
% 159.05/24.88 | | | | | | | | | | | m2_cat_1(v27, all_88_12, all_88_10) | ~
% 159.05/24.88 | | | | | | | | | | | m2_cat_1(v26, all_88_12, all_88_10) | ?
% 159.05/24.88 | | | | | | | | | | | [v31: $i] : (k4_tarski(v27, v29) = v31 &
% 159.05/24.88 | | | | | | | | | | | $i(v31) & ! [v32: $i] : ! [v33: $i]
% 159.05/24.88 | | | | | | | | | | | : ! [v34: $i] : ( ~
% 159.05/24.88 | | | | | | | | | | | (k8_nattra_1(all_88_12, all_88_10,
% 159.05/24.88 | | | | | | | | | | | v26, v27, v29, v32, v33) = v34)
% 159.05/24.88 | | | | | | | | | | | | ~ (k4_tarski(v28, v32) = v11) |
% 159.05/24.88 | | | | | | | | | | | ~ $i(v33) | ~ $i(v32) | ~
% 159.05/24.88 | | | | | | | | | | | m2_nattra_1(v33, all_88_12,
% 159.05/24.88 | | | | | | | | | | | all_88_10, v27, v29) | ~
% 159.05/24.88 | | | | | | | | | | | m2_nattra_1(v32, all_88_12,
% 159.05/24.88 | | | | | | | | | | | all_88_10, v26, v27) | ? [v35:
% 159.05/24.88 | | | | | | | | | | | $i] : ? [v36: $i] : (( ~ (v36 =
% 159.05/24.88 | | | | | | | | | | | v14) & k4_tarski(v30, v34) =
% 159.05/24.88 | | | | | | | | | | | v36 & $i(v36)) | ( ~ (v35 = v12)
% 159.05/24.88 | | | | | | | | | | | & k4_tarski(v31, v33) = v35 &
% 159.05/24.88 | | | | | | | | | | | $i(v35)))) & ! [v32: $i] : !
% 159.05/24.88 | | | | | | | | | | | [v33: $i] : ( ~ (k4_tarski(v31, v33) =
% 159.05/24.88 | | | | | | | | | | | v12) | ~ (k4_tarski(v28, v32) =
% 159.05/24.88 | | | | | | | | | | | v11) | ~ $i(v33) | ~ $i(v32) |
% 159.05/24.88 | | | | | | | | | | | ~ m2_nattra_1(v33, all_88_12,
% 159.05/24.88 | | | | | | | | | | | all_88_10, v27, v29) | ~
% 159.05/24.88 | | | | | | | | | | | m2_nattra_1(v32, all_88_12,
% 159.05/24.88 | | | | | | | | | | | all_88_10, v26, v27) | ? [v34:
% 159.05/24.88 | | | | | | | | | | | $i] : ? [v35: $i] : ( ~ (v35 =
% 159.05/24.88 | | | | | | | | | | | v14) & k8_nattra_1(all_88_12,
% 159.05/24.88 | | | | | | | | | | | all_88_10, v26, v27, v29, v32,
% 159.05/24.88 | | | | | | | | | | | v33) = v34 & k4_tarski(v30, v34)
% 159.05/24.88 | | | | | | | | | | | = v35 & $i(v35) & $i(v34)))))) |
% 159.05/24.88 | | | | | | | | | | | (k1_mcart_1(v20) = v22 & u2_cat_1(v0) = v3 &
% 159.05/24.88 | | | | | | | | | | | $i(v22) & $i(v3) & m1_subset_1(v20, v3) &
% 159.05/24.88 | | | | | | | | | | | (( ~ (v25 = v24) & k3_cat_1(v0, v20) = v24
% 159.05/24.88 | | | | | | | | | | | & k2_mcart_1(v22) = v25 & $i(v25) &
% 159.05/24.88 | | | | | | | | | | | $i(v24)) | ( ~ (v23 = v21) &
% 159.05/24.88 | | | | | | | | | | | k2_cat_1(v0, v20) = v21 &
% 159.05/24.88 | | | | | | | | | | | k1_mcart_1(v22) = v23 & $i(v23) &
% 159.05/24.88 | | | | | | | | | | | $i(v21)))))))
% 159.05/24.88 | | | | | | | | | | |
% 159.05/24.88 | | | | | | | | | | | ALPHA: (217) implies:
% 159.05/24.88 | | | | | | | | | | | (218) $i(all_269_0)
% 159.05/24.88 | | | | | | | | | | | (219) k11_nattra_1(all_88_12, all_88_10) = all_269_0
% 159.05/24.89 | | | | | | | | | | | (220) ! [v0: $i] : ! [v1: $i] : ( ~ (u2_cat_1(v0) =
% 159.05/24.89 | | | | | | | | | | | v1) | ~ $i(v0) | ~ v1_cat_1(v0) | ~
% 159.05/24.89 | | | | | | | | | | | l1_cat_1(v0) | ~ v2_cat_1(v0) | ? [v2: $i] :
% 159.05/24.89 | | | | | | | | | | | ? [v3: $i] : ? [v4: $i] : ? [v5: $i] : ? [v6:
% 159.05/24.89 | | | | | | | | | | | $i] : ? [v7: $i] : ? [v8: $i] : ? [v9: $i]
% 159.05/24.89 | | | | | | | | | | | : ? [v10: $i] : ? [v11: $i] : ? [v12: $i] :
% 159.05/24.89 | | | | | | | | | | | ? [v13: $i] : ? [v14: $i] : ? [v15: $i] : ?
% 159.05/24.89 | | | | | | | | | | | [v16: $i] : ? [v17: $i] : ? [v18: $i] : ?
% 159.05/24.89 | | | | | | | | | | | [v19: $i] : ? [v20: $i] : ? [v21: $i] : ?
% 159.05/24.89 | | | | | | | | | | | [v22: $i] : ? [v23: $i] : ? [v24: $i] : ?
% 159.05/24.89 | | | | | | | | | | | [v25: $i] : ($i(v20) & $i(v17) & $i(v15) &
% 159.05/24.89 | | | | | | | | | | | $i(v12) & $i(v11) & $i(v7) & $i(v5) & ( ~ (v1
% 159.05/24.89 | | | | | | | | | | | = all_269_0) | v0 = all_88_9 | (v18 = v16
% 159.05/24.89 | | | | | | | | | | | & k1_relat_1(v3) = v4 & k13_cat_2(v0, v0,
% 159.05/24.89 | | | | | | | | | | | v17, v15) = v19 & k2_cat_1(v0, v17) =
% 159.05/24.89 | | | | | | | | | | | v16 & k3_cat_1(v0, v15) = v16 &
% 159.05/24.89 | | | | | | | | | | | u5_cat_1(v0) = v3 & $i(v19) & $i(v16) &
% 159.05/24.89 | | | | | | | | | | | $i(v4) & $i(v3) & m1_subset_1(v17,
% 159.05/24.89 | | | | | | | | | | | all_269_0) & m1_subset_1(v15, all_269_0)
% 159.05/24.89 | | | | | | | | | | | & ~ r2_hidden(v19, v4)) | (v7 = v5 & ~
% 159.05/24.89 | | | | | | | | | | | (v10 = v6) & k10_cat_1(v0, v5) = v6 &
% 159.05/24.89 | | | | | | | | | | | k7_nattra_1(all_88_12, all_88_10, v5) = v9
% 159.05/24.89 | | | | | | | | | | | & k4_tarski(v8, v9) = v10 & k4_tarski(v5,
% 159.05/24.89 | | | | | | | | | | | v5) = v8 & u1_cat_1(v0) = v2 & $i(v10) &
% 159.05/24.89 | | | | | | | | | | | $i(v9) & $i(v8) & $i(v6) & $i(v2) &
% 159.05/24.89 | | | | | | | | | | | m2_cat_1(v5, all_88_12, all_88_10) &
% 159.05/24.89 | | | | | | | | | | | m1_subset_1(v5, v2)) | ( ~ (v2 =
% 159.05/24.89 | | | | | | | | | | | all_269_1) & u1_cat_1(v0) = v2 & $i(v2))
% 159.05/24.89 | | | | | | | | | | | | (k1_relat_1(v3) = v4 & k1_funct_1(v3, v13)
% 159.05/24.89 | | | | | | | | | | | = v14 & k13_cat_2(v0, v0, v12, v11) = v13
% 159.05/24.89 | | | | | | | | | | | & u5_cat_1(v0) = v3 & $i(v14) & $i(v13) &
% 159.05/24.89 | | | | | | | | | | | $i(v4) & $i(v3) & r2_hidden(v13, v4) &
% 159.05/24.89 | | | | | | | | | | | m1_subset_1(v12, all_269_0) &
% 159.05/24.89 | | | | | | | | | | | m1_subset_1(v11, all_269_0) & ! [v26: $i]
% 159.05/24.89 | | | | | | | | | | | : ! [v27: $i] : ! [v28: $i] : ! [v29:
% 159.05/24.89 | | | | | | | | | | | $i] : ! [v30: $i] : ( ~ (k4_tarski(v27,
% 159.05/24.89 | | | | | | | | | | | v29) = v30) | ~ (k4_tarski(v26,
% 159.05/24.89 | | | | | | | | | | | v27) = v28) | ~ $i(v29) | ~
% 159.05/24.89 | | | | | | | | | | | $i(v27) | ~ $i(v26) | ~ m2_cat_1(v29,
% 159.05/24.89 | | | | | | | | | | | all_88_12, all_88_10) | ~
% 159.05/24.89 | | | | | | | | | | | m2_cat_1(v27, all_88_12, all_88_10) | ~
% 159.05/24.89 | | | | | | | | | | | m2_cat_1(v26, all_88_12, all_88_10) | ?
% 159.05/24.89 | | | | | | | | | | | [v31: $i] : (k4_tarski(v26, v29) = v31 &
% 159.05/24.89 | | | | | | | | | | | $i(v31) & ! [v32: $i] : ! [v33: $i]
% 159.05/24.89 | | | | | | | | | | | : ! [v34: $i] : ( ~
% 159.05/24.89 | | | | | | | | | | | (k8_nattra_1(all_88_12, all_88_10,
% 159.05/24.89 | | | | | | | | | | | v26, v27, v29, v32, v33) = v34)
% 159.05/24.89 | | | | | | | | | | | | ~ (k4_tarski(v28, v32) = v11) |
% 159.05/24.89 | | | | | | | | | | | ~ $i(v33) | ~ $i(v32) | ~
% 159.05/24.89 | | | | | | | | | | | m2_nattra_1(v33, all_88_12,
% 159.05/24.89 | | | | | | | | | | | all_88_10, v27, v29) | ~
% 159.05/24.89 | | | | | | | | | | | m2_nattra_1(v32, all_88_12,
% 159.05/24.89 | | | | | | | | | | | all_88_10, v26, v27) | ? [v35:
% 159.05/24.89 | | | | | | | | | | | $i] : ? [v36: $i] : (( ~ (v36 =
% 159.05/24.89 | | | | | | | | | | | v14) & k4_tarski(v31, v34) =
% 159.05/24.89 | | | | | | | | | | | v36 & $i(v36)) | ( ~ (v35 = v12)
% 159.05/24.89 | | | | | | | | | | | & k4_tarski(v30, v33) = v35 &
% 159.05/24.89 | | | | | | | | | | | $i(v35)))) & ! [v32: $i] : !
% 159.05/24.89 | | | | | | | | | | | [v33: $i] : ( ~ (k4_tarski(v30, v33) =
% 159.05/24.89 | | | | | | | | | | | v12) | ~ (k4_tarski(v28, v32) =
% 159.05/24.89 | | | | | | | | | | | v11) | ~ $i(v33) | ~ $i(v32) |
% 159.05/24.89 | | | | | | | | | | | ~ m2_nattra_1(v33, all_88_12,
% 159.05/24.89 | | | | | | | | | | | all_88_10, v27, v29) | ~
% 159.05/24.89 | | | | | | | | | | | m2_nattra_1(v32, all_88_12,
% 159.05/24.89 | | | | | | | | | | | all_88_10, v26, v27) | ? [v34:
% 159.05/24.89 | | | | | | | | | | | $i] : ? [v35: $i] : ( ~ (v35 =
% 159.05/24.89 | | | | | | | | | | | v14) & k8_nattra_1(all_88_12,
% 159.05/24.89 | | | | | | | | | | | all_88_10, v26, v27, v29, v32,
% 159.05/24.89 | | | | | | | | | | | v33) = v34 & k4_tarski(v31, v34)
% 159.05/24.89 | | | | | | | | | | | = v35 & $i(v35) & $i(v34))))) & !
% 159.05/24.89 | | | | | | | | | | | [v26: $i] : ! [v27: $i] : ! [v28: $i] :
% 159.05/24.89 | | | | | | | | | | | ! [v29: $i] : ! [v30: $i] : ( ~
% 159.05/24.89 | | | | | | | | | | | (k4_tarski(v26, v29) = v30) | ~
% 159.05/24.89 | | | | | | | | | | | (k4_tarski(v26, v27) = v28) | ~ $i(v29)
% 159.05/24.89 | | | | | | | | | | | | ~ $i(v27) | ~ $i(v26) | ~
% 159.05/24.89 | | | | | | | | | | | m2_cat_1(v29, all_88_12, all_88_10) | ~
% 159.05/24.89 | | | | | | | | | | | m2_cat_1(v27, all_88_12, all_88_10) | ~
% 159.05/24.89 | | | | | | | | | | | m2_cat_1(v26, all_88_12, all_88_10) | ?
% 159.05/24.89 | | | | | | | | | | | [v31: $i] : (k4_tarski(v27, v29) = v31 &
% 159.05/24.89 | | | | | | | | | | | $i(v31) & ! [v32: $i] : ! [v33: $i]
% 159.05/24.89 | | | | | | | | | | | : ! [v34: $i] : ( ~
% 159.05/24.89 | | | | | | | | | | | (k8_nattra_1(all_88_12, all_88_10,
% 159.05/24.89 | | | | | | | | | | | v26, v27, v29, v32, v33) = v34)
% 159.05/24.89 | | | | | | | | | | | | ~ (k4_tarski(v28, v32) = v11) |
% 159.05/24.89 | | | | | | | | | | | ~ $i(v33) | ~ $i(v32) | ~
% 159.05/24.89 | | | | | | | | | | | m2_nattra_1(v33, all_88_12,
% 159.05/24.89 | | | | | | | | | | | all_88_10, v27, v29) | ~
% 159.05/24.89 | | | | | | | | | | | m2_nattra_1(v32, all_88_12,
% 159.05/24.89 | | | | | | | | | | | all_88_10, v26, v27) | ? [v35:
% 159.05/24.89 | | | | | | | | | | | $i] : ? [v36: $i] : (( ~ (v36 =
% 159.05/24.89 | | | | | | | | | | | v14) & k4_tarski(v30, v34) =
% 159.05/24.89 | | | | | | | | | | | v36 & $i(v36)) | ( ~ (v35 = v12)
% 159.05/24.89 | | | | | | | | | | | & k4_tarski(v31, v33) = v35 &
% 159.05/24.89 | | | | | | | | | | | $i(v35)))) & ! [v32: $i] : !
% 159.05/24.89 | | | | | | | | | | | [v33: $i] : ( ~ (k4_tarski(v31, v33) =
% 159.05/24.89 | | | | | | | | | | | v12) | ~ (k4_tarski(v28, v32) =
% 159.05/24.89 | | | | | | | | | | | v11) | ~ $i(v33) | ~ $i(v32) |
% 159.05/24.89 | | | | | | | | | | | ~ m2_nattra_1(v33, all_88_12,
% 159.05/24.89 | | | | | | | | | | | all_88_10, v27, v29) | ~
% 159.05/24.89 | | | | | | | | | | | m2_nattra_1(v32, all_88_12,
% 159.05/24.89 | | | | | | | | | | | all_88_10, v26, v27) | ? [v34:
% 159.05/24.89 | | | | | | | | | | | $i] : ? [v35: $i] : ( ~ (v35 =
% 159.05/24.89 | | | | | | | | | | | v14) & k8_nattra_1(all_88_12,
% 159.05/24.89 | | | | | | | | | | | all_88_10, v26, v27, v29, v32,
% 159.05/24.89 | | | | | | | | | | | v33) = v34 & k4_tarski(v30, v34)
% 159.05/24.89 | | | | | | | | | | | = v35 & $i(v35) & $i(v34)))))) |
% 159.05/24.89 | | | | | | | | | | | (k1_mcart_1(v20) = v22 & $i(v22) &
% 159.05/24.89 | | | | | | | | | | | m1_subset_1(v20, all_269_0) & (( ~ (v25 =
% 159.05/24.89 | | | | | | | | | | | v24) & k3_cat_1(v0, v20) = v24 &
% 159.05/24.89 | | | | | | | | | | | k2_mcart_1(v22) = v25 & $i(v25) &
% 159.05/24.89 | | | | | | | | | | | $i(v24)) | ( ~ (v23 = v21) &
% 159.05/24.89 | | | | | | | | | | | k2_cat_1(v0, v20) = v21 &
% 159.05/24.89 | | | | | | | | | | | k1_mcart_1(v22) = v23 & $i(v23) &
% 159.05/24.89 | | | | | | | | | | | $i(v21))))) & ( ~ (v0 = all_88_9) |
% 159.05/24.89 | | | | | | | | | | | (v2 = all_269_1 & v1 = all_269_0 &
% 159.05/24.89 | | | | | | | | | | | k1_relat_1(v3) = v4 & u1_cat_1(all_88_9) =
% 159.05/24.89 | | | | | | | | | | | all_269_1 & u5_cat_1(all_88_9) = v3 &
% 159.05/24.89 | | | | | | | | | | | $i(v4) & $i(v3) & ! [v26: $i] : ! [v27:
% 159.05/24.89 | | | | | | | | | | | $i] : ! [v28: $i] : ! [v29: $i] : ( ~
% 159.05/24.89 | | | | | | | | | | | (k13_cat_2(all_88_9, all_88_9, v28, v26)
% 159.05/24.89 | | | | | | | | | | | = v29) | ~ (k3_cat_1(all_88_9, v26) =
% 159.05/24.89 | | | | | | | | | | | v27) | ~ $i(v28) | ~ $i(v26) | ~
% 159.05/24.89 | | | | | | | | | | | m1_subset_1(v28, all_269_0) | ~
% 159.05/24.89 | | | | | | | | | | | m1_subset_1(v26, all_269_0) |
% 159.05/24.89 | | | | | | | | | | | r2_hidden(v29, v4) | ? [v30: $i] : ( ~
% 159.05/24.89 | | | | | | | | | | | (v30 = v27) & k2_cat_1(all_88_9, v28)
% 159.05/24.89 | | | | | | | | | | | = v30 & $i(v30))) & ! [v26: $i] : !
% 159.05/24.89 | | | | | | | | | | | [v27: $i] : ! [v28: $i] : ( ~
% 159.05/24.89 | | | | | | | | | | | (k10_cat_1(all_88_9, v26) = v27) | ~
% 159.05/24.89 | | | | | | | | | | | (k7_nattra_1(all_88_12, all_88_10, v26)
% 159.05/24.89 | | | | | | | | | | | = v28) | ~ $i(v26) | ~ m2_cat_1(v26,
% 159.05/24.89 | | | | | | | | | | | all_88_12, all_88_10) | ~
% 159.05/24.89 | | | | | | | | | | | m1_subset_1(v26, all_269_1) | ? [v29:
% 159.05/24.89 | | | | | | | | | | | $i] : (k4_tarski(v29, v28) = v27 &
% 159.05/24.89 | | | | | | | | | | | k4_tarski(v26, v26) = v29 & $i(v29) &
% 159.05/24.89 | | | | | | | | | | | $i(v27))) & ! [v26: $i] : ! [v27:
% 159.05/24.89 | | | | | | | | | | | $i] : ! [v28: $i] : ( ~
% 159.05/24.89 | | | | | | | | | | | (k10_cat_1(all_88_9, v26) = v27) | ~
% 159.05/24.89 | | | | | | | | | | | (k4_tarski(v26, v26) = v28) | ~ $i(v26)
% 159.05/24.89 | | | | | | | | | | | | ~ m2_cat_1(v26, all_88_12, all_88_10)
% 159.05/24.89 | | | | | | | | | | | | ~ m1_subset_1(v26, all_269_1) | ?
% 159.05/24.89 | | | | | | | | | | | [v29: $i] : (k7_nattra_1(all_88_12,
% 159.05/24.89 | | | | | | | | | | | all_88_10, v26) = v29 &
% 159.05/24.89 | | | | | | | | | | | k4_tarski(v28, v29) = v27 & $i(v29) &
% 159.05/24.89 | | | | | | | | | | | $i(v27))) & ! [v26: $i] : ! [v27:
% 159.05/24.89 | | | | | | | | | | | $i] : ! [v28: $i] : ( ~
% 159.05/24.89 | | | | | | | | | | | (k13_cat_2(all_88_9, all_88_9, v27, v26)
% 159.05/24.89 | | | | | | | | | | | = v28) | ~ $i(v27) | ~ $i(v26) | ~
% 159.05/24.89 | | | | | | | | | | | r2_hidden(v28, v4) | ~ m1_subset_1(v27,
% 159.05/24.89 | | | | | | | | | | | all_269_0) | ~ m1_subset_1(v26,
% 159.05/24.89 | | | | | | | | | | | all_269_0) | ? [v29: $i] : ? [v30:
% 159.05/24.89 | | | | | | | | | | | $i] : ? [v31: $i] : ? [v32: $i] : ?
% 159.05/24.89 | | | | | | | | | | | [v33: $i] : ? [v34: $i] : ? [v35: $i]
% 159.05/24.89 | | | | | | | | | | | : ? [v36: $i] : ? [v37: $i] : ? [v38:
% 159.05/24.89 | | | | | | | | | | | $i] : (k1_funct_1(v3, v28) = v29 &
% 159.05/24.89 | | | | | | | | | | | k8_nattra_1(all_88_12, all_88_10, v30,
% 159.05/24.89 | | | | | | | | | | | v31, v33, v36, v37) = v38 &
% 159.05/24.89 | | | | | | | | | | | k4_tarski(v35, v38) = v29 &
% 159.05/24.89 | | | | | | | | | | | k4_tarski(v34, v37) = v27 &
% 159.05/24.89 | | | | | | | | | | | k4_tarski(v32, v36) = v26 &
% 159.05/24.89 | | | | | | | | | | | k4_tarski(v31, v33) = v34 &
% 159.05/24.89 | | | | | | | | | | | k4_tarski(v30, v33) = v35 &
% 159.05/24.89 | | | | | | | | | | | k4_tarski(v30, v31) = v32 & $i(v38) &
% 159.05/24.89 | | | | | | | | | | | $i(v37) & $i(v36) & $i(v35) & $i(v34)
% 159.05/24.89 | | | | | | | | | | | & $i(v33) & $i(v32) & $i(v31) &
% 159.05/24.89 | | | | | | | | | | | $i(v30) & $i(v29) & m2_nattra_1(v37,
% 159.05/24.89 | | | | | | | | | | | all_88_12, all_88_10, v31, v33) &
% 159.05/24.89 | | | | | | | | | | | m2_nattra_1(v36, all_88_12, all_88_10,
% 159.05/24.89 | | | | | | | | | | | v30, v31) & m2_cat_1(v33, all_88_12,
% 159.05/24.89 | | | | | | | | | | | all_88_10) & m2_cat_1(v31,
% 159.05/24.89 | | | | | | | | | | | all_88_12, all_88_10) &
% 159.05/24.89 | | | | | | | | | | | m2_cat_1(v30, all_88_12, all_88_10)))
% 159.05/24.89 | | | | | | | | | | | & ! [v26: $i] : ! [v27: $i] : ! [v28:
% 159.05/24.89 | | | | | | | | | | | $i] : ( ~ (k2_cat_1(all_88_9, v28) =
% 159.05/24.89 | | | | | | | | | | | v27) | ~ (k3_cat_1(all_88_9, v26) =
% 159.05/24.89 | | | | | | | | | | | v27) | ~ $i(v28) | ~ $i(v26) | ~
% 159.05/24.89 | | | | | | | | | | | m1_subset_1(v28, all_269_0) | ~
% 159.05/24.89 | | | | | | | | | | | m1_subset_1(v26, all_269_0) | ? [v29:
% 159.05/24.89 | | | | | | | | | | | $i] : (k13_cat_2(all_88_9, all_88_9,
% 159.05/24.89 | | | | | | | | | | | v28, v26) = v29 & $i(v29) &
% 159.05/24.89 | | | | | | | | | | | r2_hidden(v29, v4))) & ! [v26: $i] :
% 159.05/24.89 | | | | | | | | | | | ! [v27: $i] : ( ~ (k2_cat_1(all_88_9, v26)
% 159.05/24.89 | | | | | | | | | | | = v27) | ~ $i(v26) | ~
% 159.05/24.89 | | | | | | | | | | | m1_subset_1(v26, all_269_0) | ? [v28:
% 159.05/24.89 | | | | | | | | | | | $i] : ? [v29: $i] : (k1_mcart_1(v28)
% 159.05/24.89 | | | | | | | | | | | = v27 & k1_mcart_1(v26) = v28 &
% 159.05/24.89 | | | | | | | | | | | k3_cat_1(all_88_9, v26) = v29 &
% 159.05/24.89 | | | | | | | | | | | k2_mcart_1(v28) = v29 & $i(v29) &
% 159.05/24.89 | | | | | | | | | | | $i(v28) & $i(v27))) & ! [v26: $i] :
% 159.05/24.89 | | | | | | | | | | | ! [v27: $i] : ( ~ (k1_mcart_1(v26) = v27)
% 159.05/24.89 | | | | | | | | | | | | ~ $i(v26) | ~ m1_subset_1(v26,
% 159.05/24.89 | | | | | | | | | | | all_269_0) | ? [v28: $i] : ? [v29:
% 159.05/24.89 | | | | | | | | | | | $i] : (k2_cat_1(all_88_9, v26) = v28 &
% 159.05/24.89 | | | | | | | | | | | k1_mcart_1(v27) = v28 &
% 159.05/24.89 | | | | | | | | | | | k3_cat_1(all_88_9, v26) = v29 &
% 159.05/24.89 | | | | | | | | | | | k2_mcart_1(v27) = v29 & $i(v29) &
% 159.05/24.89 | | | | | | | | | | | $i(v28))) & ! [v26: $i] : ! [v27:
% 159.05/24.89 | | | | | | | | | | | $i] : ( ~ (k3_cat_1(all_88_9, v26) =
% 159.05/24.89 | | | | | | | | | | | v27) | ~ $i(v26) | ~
% 159.05/24.89 | | | | | | | | | | | m1_subset_1(v26, all_269_0) | ? [v28:
% 159.05/24.89 | | | | | | | | | | | $i] : ? [v29: $i] :
% 159.05/24.89 | | | | | | | | | | | (k2_cat_1(all_88_9, v26) = v28 &
% 159.05/24.89 | | | | | | | | | | | k1_mcart_1(v29) = v28 &
% 159.05/24.89 | | | | | | | | | | | k1_mcart_1(v26) = v29 &
% 159.05/24.89 | | | | | | | | | | | k2_mcart_1(v29) = v27 & $i(v29) &
% 159.05/24.89 | | | | | | | | | | | $i(v28) & $i(v27)))))))
% 159.05/24.89 | | | | | | | | | | |
% 159.05/24.89 | | | | | | | | | | | GROUND_INST: instantiating (21) with all_88_8, all_258_0,
% 159.05/24.89 | | | | | | | | | | | all_88_12, simplifying with (214) gives:
% 159.05/24.89 | | | | | | | | | | | (221) all_258_0 = all_88_8 | ~ (u2_cat_1(all_88_12) =
% 159.05/24.89 | | | | | | | | | | | all_88_8)
% 159.05/24.89 | | | | | | | | | | |
% 159.05/24.89 | | | | | | | | | | | GROUND_INST: instantiating (21) with all_88_8, all_263_0,
% 159.05/24.89 | | | | | | | | | | | all_88_12, simplifying with (216) gives:
% 159.05/24.89 | | | | | | | | | | | (222) all_263_0 = all_88_8 | ~ (u2_cat_1(all_88_12) =
% 159.05/24.89 | | | | | | | | | | | all_88_8)
% 159.05/24.89 | | | | | | | | | | |
% 159.05/24.89 | | | | | | | | | | | GROUND_INST: instantiating (24) with all_114_0, all_253_0,
% 159.05/24.89 | | | | | | | | | | | all_88_2, simplifying with (80) gives:
% 159.05/24.89 | | | | | | | | | | | (223) all_253_0 = all_114_0 | ~ (k1_tarski(all_88_2) =
% 159.05/24.89 | | | | | | | | | | | all_253_0)
% 159.05/24.89 | | | | | | | | | | |
% 159.05/24.89 | | | | | | | | | | | BETA: splitting (54) gives:
% 159.05/24.89 | | | | | | | | | | |
% 159.05/24.89 | | | | | | | | | | | Case 1:
% 159.05/24.89 | | | | | | | | | | | |
% 159.05/24.89 | | | | | | | | | | | | (224) ~ (u2_cat_1(all_88_12) = all_88_8)
% 159.05/24.89 | | | | | | | | | | | |
% 159.05/24.89 | | | | | | | | | | | | BETA: splitting (55) gives:
% 159.05/24.89 | | | | | | | | | | | |
% 159.05/24.89 | | | | | | | | | | | | Case 1:
% 159.05/24.89 | | | | | | | | | | | | |
% 159.05/24.89 | | | | | | | | | | | | |
% 159.05/24.89 | | | | | | | | | | | | | GROUND_INST: instantiating (220) with all_88_9, all_88_8,
% 159.05/24.89 | | | | | | | | | | | | | simplifying with (35), (44), (200), (201), (202)
% 159.05/24.89 | | | | | | | | | | | | | gives:
% 159.05/24.89 | | | | | | | | | | | | | (225) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3:
% 159.05/24.89 | | | | | | | | | | | | | $i] : ? [v4: $i] : ? [v5: $i] : ? [v6: $i] :
% 159.05/24.89 | | | | | | | | | | | | | ? [v7: $i] : ? [v8: $i] : (all_269_0 = all_88_8 &
% 159.05/24.89 | | | | | | | | | | | | | k1_relat_1(v0) = v1 & u1_cat_1(all_88_9) =
% 159.05/24.89 | | | | | | | | | | | | | all_269_1 & u5_cat_1(all_88_9) = v0 & $i(v8) &
% 159.05/24.89 | | | | | | | | | | | | | $i(v7) & $i(v6) & $i(v5) & $i(v4) & $i(v3) &
% 159.05/24.89 | | | | | | | | | | | | | $i(v2) & $i(v1) & $i(v0) & ! [v9: $i] : !
% 159.05/24.89 | | | | | | | | | | | | | [v10: $i] : ! [v11: $i] : ! [v12: $i] : ( ~
% 159.05/24.89 | | | | | | | | | | | | | (k13_cat_2(all_88_9, all_88_9, v11, v9) = v12)
% 159.05/24.89 | | | | | | | | | | | | | | ~ (k3_cat_1(all_88_9, v9) = v10) | ~
% 159.05/24.89 | | | | | | | | | | | | | $i(v11) | ~ $i(v9) | ~ m1_subset_1(v11,
% 159.05/24.89 | | | | | | | | | | | | | all_88_8) | ~ m1_subset_1(v9, all_88_8) |
% 159.05/24.89 | | | | | | | | | | | | | r2_hidden(v12, v1) | ? [v13: $i] : ( ~ (v13 =
% 159.05/24.89 | | | | | | | | | | | | | v10) & k2_cat_1(all_88_9, v11) = v13 &
% 159.05/24.89 | | | | | | | | | | | | | $i(v13))) & ! [v9: $i] : ! [v10: $i] : !
% 159.05/24.89 | | | | | | | | | | | | | [v11: $i] : ( ~ (k10_cat_1(all_88_9, v9) = v10)
% 159.05/24.89 | | | | | | | | | | | | | | ~ (k7_nattra_1(all_88_12, all_88_10, v9) =
% 159.05/24.89 | | | | | | | | | | | | | v11) | ~ $i(v9) | ~ m2_cat_1(v9,
% 159.05/24.89 | | | | | | | | | | | | | all_88_12, all_88_10) | ~ m1_subset_1(v9,
% 159.05/24.89 | | | | | | | | | | | | | all_269_1) | ? [v12: $i] : (k4_tarski(v12,
% 159.05/24.89 | | | | | | | | | | | | | v11) = v10 & k4_tarski(v9, v9) = v12 &
% 159.05/24.89 | | | | | | | | | | | | | $i(v12) & $i(v10))) & ! [v9: $i] : ! [v10:
% 159.05/24.89 | | | | | | | | | | | | | $i] : ! [v11: $i] : ( ~ (k10_cat_1(all_88_9,
% 159.05/24.89 | | | | | | | | | | | | | v9) = v10) | ~ (k4_tarski(v9, v9) = v11)
% 159.05/24.89 | | | | | | | | | | | | | | ~ $i(v9) | ~ m2_cat_1(v9, all_88_12,
% 159.05/24.89 | | | | | | | | | | | | | all_88_10) | ~ m1_subset_1(v9, all_269_1) |
% 159.05/24.89 | | | | | | | | | | | | | ? [v12: $i] : (k7_nattra_1(all_88_12,
% 159.05/24.89 | | | | | | | | | | | | | all_88_10, v9) = v12 & k4_tarski(v11, v12)
% 159.05/24.89 | | | | | | | | | | | | | = v10 & $i(v12) & $i(v10))) & ! [v9: $i] :
% 159.05/24.89 | | | | | | | | | | | | | ! [v10: $i] : ! [v11: $i] : ( ~
% 159.05/24.89 | | | | | | | | | | | | | (k13_cat_2(all_88_9, all_88_9, v10, v9) = v11)
% 159.05/24.89 | | | | | | | | | | | | | | ~ $i(v10) | ~ $i(v9) | ~ r2_hidden(v11,
% 159.05/24.89 | | | | | | | | | | | | | v1) | ~ m1_subset_1(v10, all_88_8) | ~
% 159.05/24.89 | | | | | | | | | | | | | m1_subset_1(v9, all_88_8) | ? [v12: $i] : ?
% 159.05/24.89 | | | | | | | | | | | | | [v13: $i] : ? [v14: $i] : ? [v15: $i] : ?
% 159.05/24.89 | | | | | | | | | | | | | [v16: $i] : ? [v17: $i] : ? [v18: $i] : ?
% 159.05/24.89 | | | | | | | | | | | | | [v19: $i] : ? [v20: $i] : ? [v21: $i] :
% 159.05/24.89 | | | | | | | | | | | | | (k1_funct_1(v0, v11) = v12 &
% 159.05/24.89 | | | | | | | | | | | | | k8_nattra_1(all_88_12, all_88_10, v13, v14,
% 159.05/24.89 | | | | | | | | | | | | | v16, v19, v20) = v21 & k4_tarski(v18, v21)
% 159.05/24.89 | | | | | | | | | | | | | = v12 & k4_tarski(v17, v20) = v10 &
% 159.05/24.89 | | | | | | | | | | | | | k4_tarski(v15, v19) = v9 & k4_tarski(v14,
% 159.05/24.89 | | | | | | | | | | | | | v16) = v17 & k4_tarski(v13, v16) = v18 &
% 159.05/24.89 | | | | | | | | | | | | | k4_tarski(v13, v14) = v15 & $i(v21) &
% 159.05/24.89 | | | | | | | | | | | | | $i(v20) & $i(v19) & $i(v18) & $i(v17) &
% 159.05/24.89 | | | | | | | | | | | | | $i(v16) & $i(v15) & $i(v14) & $i(v13) &
% 159.05/24.89 | | | | | | | | | | | | | $i(v12) & m2_nattra_1(v20, all_88_12,
% 159.05/24.89 | | | | | | | | | | | | | all_88_10, v14, v16) & m2_nattra_1(v19,
% 159.05/24.89 | | | | | | | | | | | | | all_88_12, all_88_10, v13, v14) &
% 159.05/24.89 | | | | | | | | | | | | | m2_cat_1(v16, all_88_12, all_88_10) &
% 159.05/24.89 | | | | | | | | | | | | | m2_cat_1(v14, all_88_12, all_88_10) &
% 159.05/24.89 | | | | | | | | | | | | | m2_cat_1(v13, all_88_12, all_88_10))) & !
% 159.05/24.89 | | | | | | | | | | | | | [v9: $i] : ! [v10: $i] : ! [v11: $i] : ( ~
% 159.05/24.89 | | | | | | | | | | | | | (k2_cat_1(all_88_9, v11) = v10) | ~
% 159.05/24.89 | | | | | | | | | | | | | (k3_cat_1(all_88_9, v9) = v10) | ~ $i(v11) |
% 159.05/24.89 | | | | | | | | | | | | | ~ $i(v9) | ~ m1_subset_1(v11, all_88_8) | ~
% 159.05/24.89 | | | | | | | | | | | | | m1_subset_1(v9, all_88_8) | ? [v12: $i] :
% 159.05/24.89 | | | | | | | | | | | | | (k13_cat_2(all_88_9, all_88_9, v11, v9) = v12
% 159.05/24.89 | | | | | | | | | | | | | & $i(v12) & r2_hidden(v12, v1))) & ! [v9:
% 159.05/24.89 | | | | | | | | | | | | | $i] : ! [v10: $i] : ( ~ (k2_cat_1(all_88_9,
% 159.05/24.89 | | | | | | | | | | | | | v9) = v10) | ~ $i(v9) | ~
% 159.05/24.89 | | | | | | | | | | | | | m1_subset_1(v9, all_88_8) | ? [v11: $i] : ?
% 159.05/24.89 | | | | | | | | | | | | | [v12: $i] : (k1_mcart_1(v11) = v10 &
% 159.05/24.89 | | | | | | | | | | | | | k1_mcart_1(v9) = v11 & k3_cat_1(all_88_9,
% 159.05/24.89 | | | | | | | | | | | | | v9) = v12 & k2_mcart_1(v11) = v12 &
% 159.05/24.89 | | | | | | | | | | | | | $i(v12) & $i(v11) & $i(v10))) & ! [v9: $i]
% 159.05/24.89 | | | | | | | | | | | | | : ! [v10: $i] : ( ~ (k1_mcart_1(v9) = v10) | ~
% 159.05/24.89 | | | | | | | | | | | | | $i(v9) | ~ m1_subset_1(v9, all_88_8) | ?
% 159.05/24.89 | | | | | | | | | | | | | [v11: $i] : ? [v12: $i] : (k2_cat_1(all_88_9,
% 159.05/24.89 | | | | | | | | | | | | | v9) = v11 & k1_mcart_1(v10) = v11 &
% 159.05/24.89 | | | | | | | | | | | | | k3_cat_1(all_88_9, v9) = v12 &
% 159.05/24.89 | | | | | | | | | | | | | k2_mcart_1(v10) = v12 & $i(v12) & $i(v11)))
% 159.05/24.89 | | | | | | | | | | | | | & ! [v9: $i] : ! [v10: $i] : ( ~
% 159.05/24.89 | | | | | | | | | | | | | (k3_cat_1(all_88_9, v9) = v10) | ~ $i(v9) |
% 159.05/24.89 | | | | | | | | | | | | | ~ m1_subset_1(v9, all_88_8) | ? [v11: $i] :
% 159.05/24.89 | | | | | | | | | | | | | ? [v12: $i] : (k2_cat_1(all_88_9, v9) = v11 &
% 159.05/24.89 | | | | | | | | | | | | | k1_mcart_1(v12) = v11 & k1_mcart_1(v9) = v12
% 159.05/24.89 | | | | | | | | | | | | | & k2_mcart_1(v12) = v10 & $i(v12) & $i(v11)
% 159.05/24.89 | | | | | | | | | | | | | & $i(v10))))
% 159.05/24.89 | | | | | | | | | | | | |
% 159.05/24.89 | | | | | | | | | | | | | GROUND_INST: instantiating (dt_k11_nattra_1) with all_88_12,
% 159.05/24.89 | | | | | | | | | | | | | all_88_10, all_269_0, simplifying with (31), (32),
% 159.05/24.89 | | | | | | | | | | | | | (34), (66), (67), (197), (219) gives:
% 159.05/24.89 | | | | | | | | | | | | | (226) m4_nattra_1(all_269_0, all_88_12, all_88_10)
% 159.05/24.89 | | | | | | | | | | | | |
% 159.05/24.89 | | | | | | | | | | | | | DELTA: instantiating (225) with fresh symbols all_466_0,
% 159.05/24.89 | | | | | | | | | | | | | all_466_1, all_466_2, all_466_3, all_466_4,
% 159.05/24.89 | | | | | | | | | | | | | all_466_5, all_466_6, all_466_7, all_466_8 gives:
% 159.05/24.89 | | | | | | | | | | | | | (227) all_269_0 = all_88_8 & k1_relat_1(all_466_8) =
% 159.05/24.89 | | | | | | | | | | | | | all_466_7 & u1_cat_1(all_88_9) = all_269_1 &
% 159.05/24.89 | | | | | | | | | | | | | u5_cat_1(all_88_9) = all_466_8 & $i(all_466_0) &
% 159.05/24.89 | | | | | | | | | | | | | $i(all_466_1) & $i(all_466_2) & $i(all_466_3) &
% 159.05/24.89 | | | | | | | | | | | | | $i(all_466_4) & $i(all_466_5) & $i(all_466_6) &
% 159.05/24.89 | | | | | | | | | | | | | $i(all_466_7) & $i(all_466_8) & ! [v0: $i] : !
% 159.05/24.89 | | | | | | | | | | | | | [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~
% 159.05/24.89 | | | | | | | | | | | | | (k13_cat_2(all_88_9, all_88_9, v2, v0) = v3) |
% 159.05/24.89 | | | | | | | | | | | | | ~ (k3_cat_1(all_88_9, v0) = v1) | ~ $i(v2) | ~
% 159.05/24.89 | | | | | | | | | | | | | $i(v0) | ~ m1_subset_1(v2, all_88_8) | ~
% 159.05/24.89 | | | | | | | | | | | | | m1_subset_1(v0, all_88_8) | r2_hidden(v3,
% 159.05/24.89 | | | | | | | | | | | | | all_466_7) | ? [v4: $i] : ( ~ (v4 = v1) &
% 159.05/24.89 | | | | | | | | | | | | | k2_cat_1(all_88_9, v2) = v4 & $i(v4))) & !
% 159.05/24.89 | | | | | | | | | | | | | [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~
% 159.05/24.89 | | | | | | | | | | | | | (k10_cat_1(all_88_9, v0) = v1) | ~
% 159.05/24.89 | | | | | | | | | | | | | (k7_nattra_1(all_88_12, all_88_10, v0) = v2) |
% 159.05/24.89 | | | | | | | | | | | | | ~ $i(v0) | ~ m2_cat_1(v0, all_88_12, all_88_10)
% 159.05/24.89 | | | | | | | | | | | | | | ~ m1_subset_1(v0, all_269_1) | ? [v3: $i] :
% 159.05/24.89 | | | | | | | | | | | | | (k4_tarski(v3, v2) = v1 & k4_tarski(v0, v0) = v3
% 159.05/24.89 | | | | | | | | | | | | | & $i(v3) & $i(v1))) & ! [v0: $i] : ! [v1:
% 159.05/24.89 | | | | | | | | | | | | | $i] : ! [v2: $i] : ( ~ (k10_cat_1(all_88_9, v0)
% 159.05/24.89 | | | | | | | | | | | | | = v1) | ~ (k4_tarski(v0, v0) = v2) | ~
% 159.05/24.89 | | | | | | | | | | | | | $i(v0) | ~ m2_cat_1(v0, all_88_12, all_88_10) |
% 159.05/24.89 | | | | | | | | | | | | | ~ m1_subset_1(v0, all_269_1) | ? [v3: $i] :
% 159.05/24.89 | | | | | | | | | | | | | (k7_nattra_1(all_88_12, all_88_10, v0) = v3 &
% 159.05/24.89 | | | | | | | | | | | | | k4_tarski(v2, v3) = v1 & $i(v3) & $i(v1))) &
% 159.05/24.89 | | | | | | | | | | | | | ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~
% 159.05/24.89 | | | | | | | | | | | | | (k13_cat_2(all_88_9, all_88_9, v1, v0) = v2) |
% 159.05/24.89 | | | | | | | | | | | | | ~ $i(v1) | ~ $i(v0) | ~ r2_hidden(v2,
% 159.05/24.89 | | | | | | | | | | | | | all_466_7) | ~ m1_subset_1(v1, all_88_8) | ~
% 159.05/24.89 | | | | | | | | | | | | | m1_subset_1(v0, all_88_8) | ? [v3: $i] : ?
% 159.05/24.89 | | | | | | | | | | | | | [v4: $i] : ? [v5: $i] : ? [v6: $i] : ? [v7:
% 159.05/24.89 | | | | | | | | | | | | | $i] : ? [v8: $i] : ? [v9: $i] : ? [v10: $i]
% 159.05/24.89 | | | | | | | | | | | | | : ? [v11: $i] : ? [v12: $i] :
% 159.05/24.89 | | | | | | | | | | | | | (k1_funct_1(all_466_8, v2) = v3 &
% 159.05/24.89 | | | | | | | | | | | | | k8_nattra_1(all_88_12, all_88_10, v4, v5, v7,
% 159.05/24.89 | | | | | | | | | | | | | v10, v11) = v12 & k4_tarski(v9, v12) = v3 &
% 159.05/24.89 | | | | | | | | | | | | | k4_tarski(v8, v11) = v1 & k4_tarski(v6, v10) =
% 159.05/24.89 | | | | | | | | | | | | | v0 & k4_tarski(v5, v7) = v8 & k4_tarski(v4,
% 159.05/24.89 | | | | | | | | | | | | | v7) = v9 & k4_tarski(v4, v5) = v6 & $i(v12)
% 159.05/24.89 | | | | | | | | | | | | | & $i(v11) & $i(v10) & $i(v9) & $i(v8) & $i(v7)
% 159.05/24.89 | | | | | | | | | | | | | & $i(v6) & $i(v5) & $i(v4) & $i(v3) &
% 159.05/24.89 | | | | | | | | | | | | | m2_nattra_1(v11, all_88_12, all_88_10, v5, v7)
% 159.05/24.89 | | | | | | | | | | | | | & m2_nattra_1(v10, all_88_12, all_88_10, v4,
% 159.05/24.89 | | | | | | | | | | | | | v5) & m2_cat_1(v7, all_88_12, all_88_10) &
% 159.05/24.89 | | | | | | | | | | | | | m2_cat_1(v5, all_88_12, all_88_10) &
% 159.05/24.89 | | | | | | | | | | | | | m2_cat_1(v4, all_88_12, all_88_10))) & ! [v0:
% 159.05/24.89 | | | | | | | | | | | | | $i] : ! [v1: $i] : ! [v2: $i] : ( ~
% 159.05/24.89 | | | | | | | | | | | | | (k2_cat_1(all_88_9, v2) = v1) | ~
% 159.05/24.89 | | | | | | | | | | | | | (k3_cat_1(all_88_9, v0) = v1) | ~ $i(v2) | ~
% 159.05/24.89 | | | | | | | | | | | | | $i(v0) | ~ m1_subset_1(v2, all_88_8) | ~
% 159.05/24.89 | | | | | | | | | | | | | m1_subset_1(v0, all_88_8) | ? [v3: $i] :
% 159.05/24.89 | | | | | | | | | | | | | (k13_cat_2(all_88_9, all_88_9, v2, v0) = v3 &
% 159.05/24.89 | | | | | | | | | | | | | $i(v3) & r2_hidden(v3, all_466_7))) & ! [v0:
% 159.05/24.89 | | | | | | | | | | | | | $i] : ! [v1: $i] : ( ~ (k2_cat_1(all_88_9, v0)
% 159.05/24.89 | | | | | | | | | | | | | = v1) | ~ $i(v0) | ~ m1_subset_1(v0,
% 159.05/24.89 | | | | | | | | | | | | | all_88_8) | ? [v2: $i] : ? [v3: $i] :
% 159.05/24.89 | | | | | | | | | | | | | (k1_mcart_1(v2) = v1 & k1_mcart_1(v0) = v2 &
% 159.05/24.89 | | | | | | | | | | | | | k3_cat_1(all_88_9, v0) = v3 & k2_mcart_1(v2) =
% 159.05/24.89 | | | | | | | | | | | | | v3 & $i(v3) & $i(v2) & $i(v1))) & ! [v0: $i]
% 159.05/24.89 | | | | | | | | | | | | | : ! [v1: $i] : ( ~ (k1_mcart_1(v0) = v1) | ~
% 159.05/24.89 | | | | | | | | | | | | | $i(v0) | ~ m1_subset_1(v0, all_88_8) | ? [v2:
% 159.05/24.89 | | | | | | | | | | | | | $i] : ? [v3: $i] : (k2_cat_1(all_88_9, v0) =
% 159.05/24.89 | | | | | | | | | | | | | v2 & k1_mcart_1(v1) = v2 & k3_cat_1(all_88_9,
% 159.05/24.89 | | | | | | | | | | | | | v0) = v3 & k2_mcart_1(v1) = v3 & $i(v3) &
% 159.05/24.89 | | | | | | | | | | | | | $i(v2))) & ! [v0: $i] : ! [v1: $i] : ( ~
% 159.05/24.89 | | | | | | | | | | | | | (k3_cat_1(all_88_9, v0) = v1) | ~ $i(v0) | ~
% 159.05/24.89 | | | | | | | | | | | | | m1_subset_1(v0, all_88_8) | ? [v2: $i] : ?
% 159.05/24.89 | | | | | | | | | | | | | [v3: $i] : (k2_cat_1(all_88_9, v0) = v2 &
% 159.05/24.89 | | | | | | | | | | | | | k1_mcart_1(v3) = v2 & k1_mcart_1(v0) = v3 &
% 159.05/24.89 | | | | | | | | | | | | | k2_mcart_1(v3) = v1 & $i(v3) & $i(v2) &
% 159.05/24.89 | | | | | | | | | | | | | $i(v1)))
% 159.05/24.89 | | | | | | | | | | | | |
% 159.05/24.89 | | | | | | | | | | | | | ALPHA: (227) implies:
% 159.05/24.89 | | | | | | | | | | | | | (228) all_269_0 = all_88_8
% 159.05/24.89 | | | | | | | | | | | | |
% 159.05/24.89 | | | | | | | | | | | | | REDUCE: (219), (228) imply:
% 159.05/24.89 | | | | | | | | | | | | | (229) k11_nattra_1(all_88_12, all_88_10) = all_88_8
% 159.05/24.89 | | | | | | | | | | | | |
% 159.05/24.89 | | | | | | | | | | | | | REDUCE: (218), (228) imply:
% 159.05/24.89 | | | | | | | | | | | | | (230) $i(all_88_8)
% 159.05/24.90 | | | | | | | | | | | | |
% 159.05/24.90 | | | | | | | | | | | | | REDUCE: (226), (228) imply:
% 159.05/24.90 | | | | | | | | | | | | | (231) m4_nattra_1(all_88_8, all_88_12, all_88_10)
% 159.05/24.90 | | | | | | | | | | | | |
% 159.05/24.90 | | | | | | | | | | | | | BETA: splitting (223) gives:
% 159.05/24.90 | | | | | | | | | | | | |
% 159.05/24.90 | | | | | | | | | | | | | Case 1:
% 159.05/24.90 | | | | | | | | | | | | | |
% 159.05/24.90 | | | | | | | | | | | | | |
% 159.05/24.90 | | | | | | | | | | | | | | REF_CLOSE: (2), (30), (31), (32), (34), (38), (40), (42),
% 159.05/24.90 | | | | | | | | | | | | | | (45), (46), (66), (67), (126), (185), (197),
% 159.05/24.90 | | | | | | | | | | | | | | (198), (199), (211), (229), (230), (231),
% 159.05/24.90 | | | | | | | | | | | | | | (t1_subset) are inconsistent by sub-proof #1.
% 159.05/24.90 | | | | | | | | | | | | | |
% 159.05/24.90 | | | | | | | | | | | | | Case 2:
% 159.05/24.90 | | | | | | | | | | | | | |
% 159.05/24.90 | | | | | | | | | | | | | | (232) all_253_0 = all_114_0
% 159.05/24.90 | | | | | | | | | | | | | |
% 159.05/24.90 | | | | | | | | | | | | | | BETA: splitting (223) gives:
% 159.05/24.90 | | | | | | | | | | | | | |
% 159.05/24.90 | | | | | | | | | | | | | | Case 1:
% 159.05/24.90 | | | | | | | | | | | | | | |
% 159.05/24.90 | | | | | | | | | | | | | | | (233) ~ (k1_tarski(all_88_2) = all_253_0)
% 159.05/24.90 | | | | | | | | | | | | | | |
% 159.05/24.90 | | | | | | | | | | | | | | | REDUCE: (232), (233) imply:
% 159.05/24.90 | | | | | | | | | | | | | | | (234) ~ (k1_tarski(all_88_2) = all_114_0)
% 159.05/24.90 | | | | | | | | | | | | | | |
% 159.05/24.90 | | | | | | | | | | | | | | | PRED_UNIFY: (80), (234) imply:
% 159.05/24.90 | | | | | | | | | | | | | | | (235) $false
% 159.05/24.90 | | | | | | | | | | | | | | |
% 159.05/24.90 | | | | | | | | | | | | | | | CLOSE: (235) is inconsistent.
% 159.05/24.90 | | | | | | | | | | | | | | |
% 159.05/24.90 | | | | | | | | | | | | | | Case 2:
% 159.05/24.90 | | | | | | | | | | | | | | |
% 159.05/24.90 | | | | | | | | | | | | | | |
% 159.05/24.90 | | | | | | | | | | | | | | | REF_CLOSE: (2), (30), (31), (32), (34), (38), (40), (42),
% 159.05/24.90 | | | | | | | | | | | | | | | (45), (46), (66), (67), (126), (185), (197),
% 159.05/24.90 | | | | | | | | | | | | | | | (198), (199), (211), (229), (230), (231),
% 159.05/24.90 | | | | | | | | | | | | | | | (t1_subset) are inconsistent by sub-proof #1.
% 159.05/24.90 | | | | | | | | | | | | | | |
% 159.05/24.90 | | | | | | | | | | | | | | End of split
% 159.05/24.90 | | | | | | | | | | | | | |
% 159.05/24.90 | | | | | | | | | | | | | End of split
% 159.05/24.90 | | | | | | | | | | | | |
% 159.05/24.90 | | | | | | | | | | | | Case 2:
% 159.05/24.90 | | | | | | | | | | | | |
% 159.05/24.90 | | | | | | | | | | | | | (236) all_88_3 = all_88_5
% 159.05/24.90 | | | | | | | | | | | | |
% 159.05/24.90 | | | | | | | | | | | | | REDUCE: (45), (236) imply:
% 159.05/24.90 | | | | | | | | | | | | | (237) k4_tarski(all_88_5, all_88_5) = all_88_2
% 159.05/24.90 | | | | | | | | | | | | |
% 159.05/24.90 | | | | | | | | | | | | | REDUCE: (126), (236) imply:
% 159.05/24.90 | | | | | | | | | | | | | (238) r2_nattra_1(all_88_12, all_88_10, all_88_5,
% 159.05/24.90 | | | | | | | | | | | | | all_88_5)
% 159.05/24.90 | | | | | | | | | | | | |
% 159.05/24.90 | | | | | | | | | | | | | REDUCE: (185), (236) imply:
% 159.05/24.90 | | | | | | | | | | | | | (239) m2_nattra_1(all_88_1, all_88_12, all_88_10,
% 159.05/24.90 | | | | | | | | | | | | | all_88_5, all_88_5)
% 159.05/24.90 | | | | | | | | | | | | |
% 159.05/24.90 | | | | | | | | | | | | | GROUND_INST: instantiating (220) with all_88_9, all_88_8,
% 159.05/24.90 | | | | | | | | | | | | | simplifying with (35), (44), (200), (201), (202)
% 159.05/24.90 | | | | | | | | | | | | | gives:
% 159.05/24.90 | | | | | | | | | | | | | (240) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3:
% 159.05/24.90 | | | | | | | | | | | | | $i] : ? [v4: $i] : ? [v5: $i] : ? [v6: $i] :
% 159.05/24.90 | | | | | | | | | | | | | ? [v7: $i] : ? [v8: $i] : (all_269_0 = all_88_8 &
% 159.05/24.90 | | | | | | | | | | | | | k1_relat_1(v0) = v1 & u1_cat_1(all_88_9) =
% 159.05/24.90 | | | | | | | | | | | | | all_269_1 & u5_cat_1(all_88_9) = v0 & $i(v8) &
% 159.05/24.90 | | | | | | | | | | | | | $i(v7) & $i(v6) & $i(v5) & $i(v4) & $i(v3) &
% 159.05/24.90 | | | | | | | | | | | | | $i(v2) & $i(v1) & $i(v0) & ! [v9: $i] : !
% 159.05/24.90 | | | | | | | | | | | | | [v10: $i] : ! [v11: $i] : ! [v12: $i] : ( ~
% 159.05/24.90 | | | | | | | | | | | | | (k13_cat_2(all_88_9, all_88_9, v11, v9) = v12)
% 159.05/24.90 | | | | | | | | | | | | | | ~ (k3_cat_1(all_88_9, v9) = v10) | ~
% 159.05/24.90 | | | | | | | | | | | | | $i(v11) | ~ $i(v9) | ~ m1_subset_1(v11,
% 159.05/24.90 | | | | | | | | | | | | | all_88_8) | ~ m1_subset_1(v9, all_88_8) |
% 159.05/24.90 | | | | | | | | | | | | | r2_hidden(v12, v1) | ? [v13: $i] : ( ~ (v13 =
% 159.05/24.90 | | | | | | | | | | | | | v10) & k2_cat_1(all_88_9, v11) = v13 &
% 159.05/24.90 | | | | | | | | | | | | | $i(v13))) & ! [v9: $i] : ! [v10: $i] : !
% 159.05/24.90 | | | | | | | | | | | | | [v11: $i] : ( ~ (k10_cat_1(all_88_9, v9) = v10)
% 159.05/24.90 | | | | | | | | | | | | | | ~ (k7_nattra_1(all_88_12, all_88_10, v9) =
% 159.05/24.90 | | | | | | | | | | | | | v11) | ~ $i(v9) | ~ m2_cat_1(v9,
% 159.05/24.90 | | | | | | | | | | | | | all_88_12, all_88_10) | ~ m1_subset_1(v9,
% 159.05/24.90 | | | | | | | | | | | | | all_269_1) | ? [v12: $i] : (k4_tarski(v12,
% 159.05/24.90 | | | | | | | | | | | | | v11) = v10 & k4_tarski(v9, v9) = v12 &
% 159.05/24.90 | | | | | | | | | | | | | $i(v12) & $i(v10))) & ! [v9: $i] : ! [v10:
% 159.05/24.90 | | | | | | | | | | | | | $i] : ! [v11: $i] : ( ~ (k10_cat_1(all_88_9,
% 159.05/24.90 | | | | | | | | | | | | | v9) = v10) | ~ (k4_tarski(v9, v9) = v11)
% 159.05/24.90 | | | | | | | | | | | | | | ~ $i(v9) | ~ m2_cat_1(v9, all_88_12,
% 159.05/24.90 | | | | | | | | | | | | | all_88_10) | ~ m1_subset_1(v9, all_269_1) |
% 159.05/24.90 | | | | | | | | | | | | | ? [v12: $i] : (k7_nattra_1(all_88_12,
% 159.05/24.90 | | | | | | | | | | | | | all_88_10, v9) = v12 & k4_tarski(v11, v12)
% 159.05/24.90 | | | | | | | | | | | | | = v10 & $i(v12) & $i(v10))) & ! [v9: $i] :
% 159.05/24.90 | | | | | | | | | | | | | ! [v10: $i] : ! [v11: $i] : ( ~
% 159.05/24.90 | | | | | | | | | | | | | (k13_cat_2(all_88_9, all_88_9, v10, v9) = v11)
% 159.05/24.90 | | | | | | | | | | | | | | ~ $i(v10) | ~ $i(v9) | ~ r2_hidden(v11,
% 159.05/24.90 | | | | | | | | | | | | | v1) | ~ m1_subset_1(v10, all_88_8) | ~
% 159.05/24.90 | | | | | | | | | | | | | m1_subset_1(v9, all_88_8) | ? [v12: $i] : ?
% 159.05/24.90 | | | | | | | | | | | | | [v13: $i] : ? [v14: $i] : ? [v15: $i] : ?
% 159.05/24.90 | | | | | | | | | | | | | [v16: $i] : ? [v17: $i] : ? [v18: $i] : ?
% 159.05/24.90 | | | | | | | | | | | | | [v19: $i] : ? [v20: $i] : ? [v21: $i] :
% 159.05/24.90 | | | | | | | | | | | | | (k1_funct_1(v0, v11) = v12 &
% 159.05/24.90 | | | | | | | | | | | | | k8_nattra_1(all_88_12, all_88_10, v13, v14,
% 159.05/24.90 | | | | | | | | | | | | | v16, v19, v20) = v21 & k4_tarski(v18, v21)
% 159.05/24.90 | | | | | | | | | | | | | = v12 & k4_tarski(v17, v20) = v10 &
% 159.05/24.90 | | | | | | | | | | | | | k4_tarski(v15, v19) = v9 & k4_tarski(v14,
% 159.05/24.90 | | | | | | | | | | | | | v16) = v17 & k4_tarski(v13, v16) = v18 &
% 159.05/24.90 | | | | | | | | | | | | | k4_tarski(v13, v14) = v15 & $i(v21) &
% 159.05/24.90 | | | | | | | | | | | | | $i(v20) & $i(v19) & $i(v18) & $i(v17) &
% 159.05/24.90 | | | | | | | | | | | | | $i(v16) & $i(v15) & $i(v14) & $i(v13) &
% 159.05/24.90 | | | | | | | | | | | | | $i(v12) & m2_nattra_1(v20, all_88_12,
% 159.05/24.90 | | | | | | | | | | | | | all_88_10, v14, v16) & m2_nattra_1(v19,
% 159.05/24.90 | | | | | | | | | | | | | all_88_12, all_88_10, v13, v14) &
% 159.05/24.90 | | | | | | | | | | | | | m2_cat_1(v16, all_88_12, all_88_10) &
% 159.05/24.90 | | | | | | | | | | | | | m2_cat_1(v14, all_88_12, all_88_10) &
% 159.05/24.90 | | | | | | | | | | | | | m2_cat_1(v13, all_88_12, all_88_10))) & !
% 159.05/24.90 | | | | | | | | | | | | | [v9: $i] : ! [v10: $i] : ! [v11: $i] : ( ~
% 159.05/24.90 | | | | | | | | | | | | | (k2_cat_1(all_88_9, v11) = v10) | ~
% 159.05/24.90 | | | | | | | | | | | | | (k3_cat_1(all_88_9, v9) = v10) | ~ $i(v11) |
% 159.05/24.90 | | | | | | | | | | | | | ~ $i(v9) | ~ m1_subset_1(v11, all_88_8) | ~
% 159.05/24.90 | | | | | | | | | | | | | m1_subset_1(v9, all_88_8) | ? [v12: $i] :
% 159.05/24.90 | | | | | | | | | | | | | (k13_cat_2(all_88_9, all_88_9, v11, v9) = v12
% 159.05/24.90 | | | | | | | | | | | | | & $i(v12) & r2_hidden(v12, v1))) & ! [v9:
% 159.05/24.90 | | | | | | | | | | | | | $i] : ! [v10: $i] : ( ~ (k2_cat_1(all_88_9,
% 159.05/24.90 | | | | | | | | | | | | | v9) = v10) | ~ $i(v9) | ~
% 159.05/24.90 | | | | | | | | | | | | | m1_subset_1(v9, all_88_8) | ? [v11: $i] : ?
% 159.05/24.90 | | | | | | | | | | | | | [v12: $i] : (k1_mcart_1(v11) = v10 &
% 159.05/24.90 | | | | | | | | | | | | | k1_mcart_1(v9) = v11 & k3_cat_1(all_88_9,
% 159.05/24.90 | | | | | | | | | | | | | v9) = v12 & k2_mcart_1(v11) = v12 &
% 159.05/24.90 | | | | | | | | | | | | | $i(v12) & $i(v11) & $i(v10))) & ! [v9: $i]
% 159.05/24.90 | | | | | | | | | | | | | : ! [v10: $i] : ( ~ (k1_mcart_1(v9) = v10) | ~
% 159.05/24.90 | | | | | | | | | | | | | $i(v9) | ~ m1_subset_1(v9, all_88_8) | ?
% 159.05/24.90 | | | | | | | | | | | | | [v11: $i] : ? [v12: $i] : (k2_cat_1(all_88_9,
% 159.05/24.90 | | | | | | | | | | | | | v9) = v11 & k1_mcart_1(v10) = v11 &
% 159.05/24.90 | | | | | | | | | | | | | k3_cat_1(all_88_9, v9) = v12 &
% 159.05/24.90 | | | | | | | | | | | | | k2_mcart_1(v10) = v12 & $i(v12) & $i(v11)))
% 159.05/24.90 | | | | | | | | | | | | | & ! [v9: $i] : ! [v10: $i] : ( ~
% 159.05/24.90 | | | | | | | | | | | | | (k3_cat_1(all_88_9, v9) = v10) | ~ $i(v9) |
% 159.05/24.90 | | | | | | | | | | | | | ~ m1_subset_1(v9, all_88_8) | ? [v11: $i] :
% 159.05/24.90 | | | | | | | | | | | | | ? [v12: $i] : (k2_cat_1(all_88_9, v9) = v11 &
% 159.05/24.90 | | | | | | | | | | | | | k1_mcart_1(v12) = v11 & k1_mcart_1(v9) = v12
% 159.05/24.90 | | | | | | | | | | | | | & k2_mcart_1(v12) = v10 & $i(v12) & $i(v11)
% 159.05/24.90 | | | | | | | | | | | | | & $i(v10))))
% 159.05/24.90 | | | | | | | | | | | | |
% 159.05/24.90 | | | | | | | | | | | | | GROUND_INST: instantiating (dt_k11_nattra_1) with all_88_12,
% 159.05/24.90 | | | | | | | | | | | | | all_88_10, all_269_0, simplifying with (31), (32),
% 159.05/24.90 | | | | | | | | | | | | | (34), (66), (67), (197), (219) gives:
% 159.05/24.90 | | | | | | | | | | | | | (241) m4_nattra_1(all_269_0, all_88_12, all_88_10)
% 159.05/24.90 | | | | | | | | | | | | |
% 159.05/24.90 | | | | | | | | | | | | | DELTA: instantiating (240) with fresh symbols all_452_0,
% 159.05/24.90 | | | | | | | | | | | | | all_452_1, all_452_2, all_452_3, all_452_4,
% 159.05/24.90 | | | | | | | | | | | | | all_452_5, all_452_6, all_452_7, all_452_8 gives:
% 159.27/24.90 | | | | | | | | | | | | | (242) all_269_0 = all_88_8 & k1_relat_1(all_452_8) =
% 159.27/24.90 | | | | | | | | | | | | | all_452_7 & u1_cat_1(all_88_9) = all_269_1 &
% 159.27/24.90 | | | | | | | | | | | | | u5_cat_1(all_88_9) = all_452_8 & $i(all_452_0) &
% 159.27/24.90 | | | | | | | | | | | | | $i(all_452_1) & $i(all_452_2) & $i(all_452_3) &
% 159.27/24.90 | | | | | | | | | | | | | $i(all_452_4) & $i(all_452_5) & $i(all_452_6) &
% 159.27/24.90 | | | | | | | | | | | | | $i(all_452_7) & $i(all_452_8) & ! [v0: $i] : !
% 159.27/24.90 | | | | | | | | | | | | | [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~
% 159.27/24.90 | | | | | | | | | | | | | (k13_cat_2(all_88_9, all_88_9, v2, v0) = v3) |
% 159.27/24.90 | | | | | | | | | | | | | ~ (k3_cat_1(all_88_9, v0) = v1) | ~ $i(v2) | ~
% 159.27/24.90 | | | | | | | | | | | | | $i(v0) | ~ m1_subset_1(v2, all_88_8) | ~
% 159.27/24.90 | | | | | | | | | | | | | m1_subset_1(v0, all_88_8) | r2_hidden(v3,
% 159.27/24.90 | | | | | | | | | | | | | all_452_7) | ? [v4: $i] : ( ~ (v4 = v1) &
% 159.27/24.90 | | | | | | | | | | | | | k2_cat_1(all_88_9, v2) = v4 & $i(v4))) & !
% 159.27/24.90 | | | | | | | | | | | | | [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~
% 159.27/24.90 | | | | | | | | | | | | | (k10_cat_1(all_88_9, v0) = v1) | ~
% 159.27/24.90 | | | | | | | | | | | | | (k7_nattra_1(all_88_12, all_88_10, v0) = v2) |
% 159.27/24.90 | | | | | | | | | | | | | ~ $i(v0) | ~ m2_cat_1(v0, all_88_12, all_88_10)
% 159.27/24.90 | | | | | | | | | | | | | | ~ m1_subset_1(v0, all_269_1) | ? [v3: $i] :
% 159.27/24.90 | | | | | | | | | | | | | (k4_tarski(v3, v2) = v1 & k4_tarski(v0, v0) = v3
% 159.27/24.90 | | | | | | | | | | | | | & $i(v3) & $i(v1))) & ! [v0: $i] : ! [v1:
% 159.27/24.90 | | | | | | | | | | | | | $i] : ! [v2: $i] : ( ~ (k10_cat_1(all_88_9, v0)
% 159.27/24.90 | | | | | | | | | | | | | = v1) | ~ (k4_tarski(v0, v0) = v2) | ~
% 159.27/24.90 | | | | | | | | | | | | | $i(v0) | ~ m2_cat_1(v0, all_88_12, all_88_10) |
% 159.27/24.90 | | | | | | | | | | | | | ~ m1_subset_1(v0, all_269_1) | ? [v3: $i] :
% 159.27/24.90 | | | | | | | | | | | | | (k7_nattra_1(all_88_12, all_88_10, v0) = v3 &
% 159.27/24.90 | | | | | | | | | | | | | k4_tarski(v2, v3) = v1 & $i(v3) & $i(v1))) &
% 159.27/24.90 | | | | | | | | | | | | | ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~
% 159.27/24.90 | | | | | | | | | | | | | (k13_cat_2(all_88_9, all_88_9, v1, v0) = v2) |
% 159.27/24.90 | | | | | | | | | | | | | ~ $i(v1) | ~ $i(v0) | ~ r2_hidden(v2,
% 159.27/24.90 | | | | | | | | | | | | | all_452_7) | ~ m1_subset_1(v1, all_88_8) | ~
% 159.27/24.90 | | | | | | | | | | | | | m1_subset_1(v0, all_88_8) | ? [v3: $i] : ?
% 159.27/24.90 | | | | | | | | | | | | | [v4: $i] : ? [v5: $i] : ? [v6: $i] : ? [v7:
% 159.27/24.90 | | | | | | | | | | | | | $i] : ? [v8: $i] : ? [v9: $i] : ? [v10: $i]
% 159.27/24.90 | | | | | | | | | | | | | : ? [v11: $i] : ? [v12: $i] :
% 159.27/24.90 | | | | | | | | | | | | | (k1_funct_1(all_452_8, v2) = v3 &
% 159.27/24.90 | | | | | | | | | | | | | k8_nattra_1(all_88_12, all_88_10, v4, v5, v7,
% 159.27/24.90 | | | | | | | | | | | | | v10, v11) = v12 & k4_tarski(v9, v12) = v3 &
% 159.27/24.90 | | | | | | | | | | | | | k4_tarski(v8, v11) = v1 & k4_tarski(v6, v10) =
% 159.27/24.90 | | | | | | | | | | | | | v0 & k4_tarski(v5, v7) = v8 & k4_tarski(v4,
% 159.27/24.90 | | | | | | | | | | | | | v7) = v9 & k4_tarski(v4, v5) = v6 & $i(v12)
% 159.27/24.90 | | | | | | | | | | | | | & $i(v11) & $i(v10) & $i(v9) & $i(v8) & $i(v7)
% 159.27/24.90 | | | | | | | | | | | | | & $i(v6) & $i(v5) & $i(v4) & $i(v3) &
% 159.27/24.90 | | | | | | | | | | | | | m2_nattra_1(v11, all_88_12, all_88_10, v5, v7)
% 159.27/24.90 | | | | | | | | | | | | | & m2_nattra_1(v10, all_88_12, all_88_10, v4,
% 159.27/24.90 | | | | | | | | | | | | | v5) & m2_cat_1(v7, all_88_12, all_88_10) &
% 159.27/24.90 | | | | | | | | | | | | | m2_cat_1(v5, all_88_12, all_88_10) &
% 159.27/24.90 | | | | | | | | | | | | | m2_cat_1(v4, all_88_12, all_88_10))) & ! [v0:
% 159.27/24.90 | | | | | | | | | | | | | $i] : ! [v1: $i] : ! [v2: $i] : ( ~
% 159.27/24.90 | | | | | | | | | | | | | (k2_cat_1(all_88_9, v2) = v1) | ~
% 159.27/24.90 | | | | | | | | | | | | | (k3_cat_1(all_88_9, v0) = v1) | ~ $i(v2) | ~
% 159.27/24.90 | | | | | | | | | | | | | $i(v0) | ~ m1_subset_1(v2, all_88_8) | ~
% 159.27/24.90 | | | | | | | | | | | | | m1_subset_1(v0, all_88_8) | ? [v3: $i] :
% 159.27/24.90 | | | | | | | | | | | | | (k13_cat_2(all_88_9, all_88_9, v2, v0) = v3 &
% 159.27/24.90 | | | | | | | | | | | | | $i(v3) & r2_hidden(v3, all_452_7))) & ! [v0:
% 159.27/24.90 | | | | | | | | | | | | | $i] : ! [v1: $i] : ( ~ (k2_cat_1(all_88_9, v0)
% 159.27/24.90 | | | | | | | | | | | | | = v1) | ~ $i(v0) | ~ m1_subset_1(v0,
% 159.27/24.90 | | | | | | | | | | | | | all_88_8) | ? [v2: $i] : ? [v3: $i] :
% 159.27/24.90 | | | | | | | | | | | | | (k1_mcart_1(v2) = v1 & k1_mcart_1(v0) = v2 &
% 159.27/24.90 | | | | | | | | | | | | | k3_cat_1(all_88_9, v0) = v3 & k2_mcart_1(v2) =
% 159.27/24.90 | | | | | | | | | | | | | v3 & $i(v3) & $i(v2) & $i(v1))) & ! [v0: $i]
% 159.27/24.90 | | | | | | | | | | | | | : ! [v1: $i] : ( ~ (k1_mcart_1(v0) = v1) | ~
% 159.27/24.90 | | | | | | | | | | | | | $i(v0) | ~ m1_subset_1(v0, all_88_8) | ? [v2:
% 159.27/24.90 | | | | | | | | | | | | | $i] : ? [v3: $i] : (k2_cat_1(all_88_9, v0) =
% 159.27/24.90 | | | | | | | | | | | | | v2 & k1_mcart_1(v1) = v2 & k3_cat_1(all_88_9,
% 159.27/24.90 | | | | | | | | | | | | | v0) = v3 & k2_mcart_1(v1) = v3 & $i(v3) &
% 159.27/24.90 | | | | | | | | | | | | | $i(v2))) & ! [v0: $i] : ! [v1: $i] : ( ~
% 159.27/24.90 | | | | | | | | | | | | | (k3_cat_1(all_88_9, v0) = v1) | ~ $i(v0) | ~
% 159.27/24.90 | | | | | | | | | | | | | m1_subset_1(v0, all_88_8) | ? [v2: $i] : ?
% 159.27/24.90 | | | | | | | | | | | | | [v3: $i] : (k2_cat_1(all_88_9, v0) = v2 &
% 159.27/24.90 | | | | | | | | | | | | | k1_mcart_1(v3) = v2 & k1_mcart_1(v0) = v3 &
% 159.27/24.90 | | | | | | | | | | | | | k2_mcart_1(v3) = v1 & $i(v3) & $i(v2) &
% 159.27/24.90 | | | | | | | | | | | | | $i(v1)))
% 159.27/24.90 | | | | | | | | | | | | |
% 159.27/24.90 | | | | | | | | | | | | | ALPHA: (242) implies:
% 159.27/24.91 | | | | | | | | | | | | | (243) all_269_0 = all_88_8
% 159.27/24.91 | | | | | | | | | | | | |
% 159.27/24.91 | | | | | | | | | | | | | REDUCE: (219), (243) imply:
% 159.27/24.91 | | | | | | | | | | | | | (244) k11_nattra_1(all_88_12, all_88_10) = all_88_8
% 159.27/24.91 | | | | | | | | | | | | |
% 159.27/24.91 | | | | | | | | | | | | | REDUCE: (218), (243) imply:
% 159.27/24.91 | | | | | | | | | | | | | (245) $i(all_88_8)
% 159.27/24.91 | | | | | | | | | | | | |
% 159.27/24.91 | | | | | | | | | | | | | REDUCE: (241), (243) imply:
% 159.27/24.91 | | | | | | | | | | | | | (246) m4_nattra_1(all_88_8, all_88_12, all_88_10)
% 159.27/24.91 | | | | | | | | | | | | |
% 159.27/24.91 | | | | | | | | | | | | | BETA: splitting (222) gives:
% 159.27/24.91 | | | | | | | | | | | | |
% 159.27/24.91 | | | | | | | | | | | | | Case 1:
% 159.27/24.91 | | | | | | | | | | | | | |
% 159.27/24.91 | | | | | | | | | | | | | |
% 159.27/24.91 | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with all_88_12, all_88_10,
% 159.27/24.91 | | | | | | | | | | | | | | all_88_8, all_88_0, all_88_5, all_88_5, all_88_2,
% 159.27/24.91 | | | | | | | | | | | | | | all_88_1, simplifying with (31), (32), (34), (38),
% 159.27/24.91 | | | | | | | | | | | | | | (42), (46), (66), (67), (197), (199), (211),
% 159.27/24.91 | | | | | | | | | | | | | | (237), (238), (239), (244), (245), (246) gives:
% 159.27/24.91 | | | | | | | | | | | | | | (247) r2_hidden(all_88_0, all_88_8)
% 159.27/24.91 | | | | | | | | | | | | | |
% 159.27/24.91 | | | | | | | | | | | | | | GROUND_INST: instantiating (t1_subset) with all_88_0, all_88_8,
% 159.27/24.91 | | | | | | | | | | | | | | simplifying with (30), (211), (245), (247) gives:
% 159.27/24.91 | | | | | | | | | | | | | | (248) $false
% 159.27/24.91 | | | | | | | | | | | | | |
% 159.27/24.91 | | | | | | | | | | | | | | CLOSE: (248) is inconsistent.
% 159.27/24.91 | | | | | | | | | | | | | |
% 159.27/24.91 | | | | | | | | | | | | | Case 2:
% 159.27/24.91 | | | | | | | | | | | | | |
% 159.27/24.91 | | | | | | | | | | | | | | (249) u2_cat_1(all_88_12) = all_88_8
% 159.27/24.91 | | | | | | | | | | | | | |
% 159.27/24.91 | | | | | | | | | | | | | | PRED_UNIFY: (224), (249) imply:
% 159.27/24.91 | | | | | | | | | | | | | | (250) $false
% 159.27/24.91 | | | | | | | | | | | | | |
% 159.27/24.91 | | | | | | | | | | | | | | CLOSE: (250) is inconsistent.
% 159.27/24.91 | | | | | | | | | | | | | |
% 159.27/24.91 | | | | | | | | | | | | | End of split
% 159.27/24.91 | | | | | | | | | | | | |
% 159.27/24.91 | | | | | | | | | | | | End of split
% 159.27/24.91 | | | | | | | | | | | |
% 159.27/24.91 | | | | | | | | | | | Case 2:
% 159.27/24.91 | | | | | | | | | | | |
% 159.27/24.91 | | | | | | | | | | | | (251) all_88_8 = all_88_11
% 159.27/24.91 | | | | | | | | | | | | (252) u2_cat_1(all_88_12) = all_88_8
% 159.27/24.91 | | | | | | | | | | | |
% 159.27/24.91 | | | | | | | | | | | | REDUCE: (44), (251) imply:
% 159.27/24.91 | | | | | | | | | | | | (253) u2_cat_1(all_88_9) = all_88_11
% 159.27/24.91 | | | | | | | | | | | |
% 159.27/24.91 | | | | | | | | | | | | REDUCE: (30), (251) imply:
% 159.27/24.91 | | | | | | | | | | | | (254) ~ m1_subset_1(all_88_0, all_88_11)
% 159.27/24.91 | | | | | | | | | | | |
% 159.27/24.91 | | | | | | | | | | | | GROUND_INST: instantiating (220) with all_88_9, all_88_11,
% 159.27/24.91 | | | | | | | | | | | | simplifying with (35), (200), (201), (202), (253)
% 159.27/24.91 | | | | | | | | | | | | gives:
% 159.27/24.91 | | | | | | | | | | | | (255) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3:
% 159.27/24.91 | | | | | | | | | | | | $i] : ? [v4: $i] : ? [v5: $i] : ? [v6: $i] :
% 159.27/24.91 | | | | | | | | | | | | ? [v7: $i] : ? [v8: $i] : (all_269_0 = all_88_11
% 159.27/24.91 | | | | | | | | | | | | & k1_relat_1(v0) = v1 & u1_cat_1(all_88_9) =
% 159.27/24.91 | | | | | | | | | | | | all_269_1 & u5_cat_1(all_88_9) = v0 & $i(v8) &
% 159.27/24.91 | | | | | | | | | | | | $i(v7) & $i(v6) & $i(v5) & $i(v4) & $i(v3) &
% 159.27/24.91 | | | | | | | | | | | | $i(v2) & $i(v1) & $i(v0) & ! [v9: $i] : !
% 159.27/24.91 | | | | | | | | | | | | [v10: $i] : ! [v11: $i] : ! [v12: $i] : ( ~
% 159.27/24.91 | | | | | | | | | | | | (k13_cat_2(all_88_9, all_88_9, v11, v9) = v12)
% 159.27/24.91 | | | | | | | | | | | | | ~ (k3_cat_1(all_88_9, v9) = v10) | ~
% 159.27/24.91 | | | | | | | | | | | | $i(v11) | ~ $i(v9) | ~ m1_subset_1(v11,
% 159.27/24.91 | | | | | | | | | | | | all_88_11) | ~ m1_subset_1(v9, all_88_11) |
% 159.27/24.91 | | | | | | | | | | | | r2_hidden(v12, v1) | ? [v13: $i] : ( ~ (v13 =
% 159.27/24.91 | | | | | | | | | | | | v10) & k2_cat_1(all_88_9, v11) = v13 &
% 159.27/24.91 | | | | | | | | | | | | $i(v13))) & ! [v9: $i] : ! [v10: $i] : !
% 159.27/24.91 | | | | | | | | | | | | [v11: $i] : ( ~ (k10_cat_1(all_88_9, v9) = v10)
% 159.27/24.91 | | | | | | | | | | | | | ~ (k7_nattra_1(all_88_12, all_88_10, v9) =
% 159.27/24.91 | | | | | | | | | | | | v11) | ~ $i(v9) | ~ m2_cat_1(v9,
% 159.27/24.91 | | | | | | | | | | | | all_88_12, all_88_10) | ~ m1_subset_1(v9,
% 159.27/24.91 | | | | | | | | | | | | all_269_1) | ? [v12: $i] : (k4_tarski(v12,
% 159.27/24.91 | | | | | | | | | | | | v11) = v10 & k4_tarski(v9, v9) = v12 &
% 159.27/24.91 | | | | | | | | | | | | $i(v12) & $i(v10))) & ! [v9: $i] : ! [v10:
% 159.27/24.91 | | | | | | | | | | | | $i] : ! [v11: $i] : ( ~ (k10_cat_1(all_88_9,
% 159.27/24.91 | | | | | | | | | | | | v9) = v10) | ~ (k4_tarski(v9, v9) = v11)
% 159.27/24.91 | | | | | | | | | | | | | ~ $i(v9) | ~ m2_cat_1(v9, all_88_12,
% 159.27/24.91 | | | | | | | | | | | | all_88_10) | ~ m1_subset_1(v9, all_269_1) |
% 159.27/24.91 | | | | | | | | | | | | ? [v12: $i] : (k7_nattra_1(all_88_12,
% 159.27/24.91 | | | | | | | | | | | | all_88_10, v9) = v12 & k4_tarski(v11, v12)
% 159.27/24.91 | | | | | | | | | | | | = v10 & $i(v12) & $i(v10))) & ! [v9: $i] :
% 159.27/24.91 | | | | | | | | | | | | ! [v10: $i] : ! [v11: $i] : ( ~
% 159.27/24.91 | | | | | | | | | | | | (k13_cat_2(all_88_9, all_88_9, v10, v9) = v11)
% 159.27/24.91 | | | | | | | | | | | | | ~ $i(v10) | ~ $i(v9) | ~ r2_hidden(v11,
% 159.27/24.91 | | | | | | | | | | | | v1) | ~ m1_subset_1(v10, all_88_11) | ~
% 159.27/24.91 | | | | | | | | | | | | m1_subset_1(v9, all_88_11) | ? [v12: $i] : ?
% 159.27/24.91 | | | | | | | | | | | | [v13: $i] : ? [v14: $i] : ? [v15: $i] : ?
% 159.27/24.91 | | | | | | | | | | | | [v16: $i] : ? [v17: $i] : ? [v18: $i] : ?
% 159.27/24.91 | | | | | | | | | | | | [v19: $i] : ? [v20: $i] : ? [v21: $i] :
% 159.27/24.91 | | | | | | | | | | | | (k1_funct_1(v0, v11) = v12 &
% 159.27/24.91 | | | | | | | | | | | | k8_nattra_1(all_88_12, all_88_10, v13, v14,
% 159.27/24.91 | | | | | | | | | | | | v16, v19, v20) = v21 & k4_tarski(v18, v21)
% 159.27/24.91 | | | | | | | | | | | | = v12 & k4_tarski(v17, v20) = v10 &
% 159.27/24.91 | | | | | | | | | | | | k4_tarski(v15, v19) = v9 & k4_tarski(v14,
% 159.27/24.91 | | | | | | | | | | | | v16) = v17 & k4_tarski(v13, v16) = v18 &
% 159.27/24.91 | | | | | | | | | | | | k4_tarski(v13, v14) = v15 & $i(v21) &
% 159.27/24.91 | | | | | | | | | | | | $i(v20) & $i(v19) & $i(v18) & $i(v17) &
% 159.27/24.91 | | | | | | | | | | | | $i(v16) & $i(v15) & $i(v14) & $i(v13) &
% 159.27/24.91 | | | | | | | | | | | | $i(v12) & m2_nattra_1(v20, all_88_12,
% 159.27/24.91 | | | | | | | | | | | | all_88_10, v14, v16) & m2_nattra_1(v19,
% 159.27/24.91 | | | | | | | | | | | | all_88_12, all_88_10, v13, v14) &
% 159.27/24.91 | | | | | | | | | | | | m2_cat_1(v16, all_88_12, all_88_10) &
% 159.27/24.91 | | | | | | | | | | | | m2_cat_1(v14, all_88_12, all_88_10) &
% 159.27/24.91 | | | | | | | | | | | | m2_cat_1(v13, all_88_12, all_88_10))) & !
% 159.27/24.91 | | | | | | | | | | | | [v9: $i] : ! [v10: $i] : ! [v11: $i] : ( ~
% 159.27/24.91 | | | | | | | | | | | | (k2_cat_1(all_88_9, v11) = v10) | ~
% 159.27/24.91 | | | | | | | | | | | | (k3_cat_1(all_88_9, v9) = v10) | ~ $i(v11) |
% 159.27/24.91 | | | | | | | | | | | | ~ $i(v9) | ~ m1_subset_1(v11, all_88_11) | ~
% 159.27/24.91 | | | | | | | | | | | | m1_subset_1(v9, all_88_11) | ? [v12: $i] :
% 159.27/24.91 | | | | | | | | | | | | (k13_cat_2(all_88_9, all_88_9, v11, v9) = v12
% 159.27/24.91 | | | | | | | | | | | | & $i(v12) & r2_hidden(v12, v1))) & ! [v9:
% 159.27/24.91 | | | | | | | | | | | | $i] : ! [v10: $i] : ( ~ (k2_cat_1(all_88_9,
% 159.27/24.91 | | | | | | | | | | | | v9) = v10) | ~ $i(v9) | ~
% 159.27/24.91 | | | | | | | | | | | | m1_subset_1(v9, all_88_11) | ? [v11: $i] : ?
% 159.27/24.91 | | | | | | | | | | | | [v12: $i] : (k1_mcart_1(v11) = v10 &
% 159.27/24.91 | | | | | | | | | | | | k1_mcart_1(v9) = v11 & k3_cat_1(all_88_9,
% 159.27/24.91 | | | | | | | | | | | | v9) = v12 & k2_mcart_1(v11) = v12 &
% 159.27/24.91 | | | | | | | | | | | | $i(v12) & $i(v11) & $i(v10))) & ! [v9: $i]
% 159.27/24.91 | | | | | | | | | | | | : ! [v10: $i] : ( ~ (k1_mcart_1(v9) = v10) | ~
% 159.27/24.91 | | | | | | | | | | | | $i(v9) | ~ m1_subset_1(v9, all_88_11) | ?
% 159.27/24.91 | | | | | | | | | | | | [v11: $i] : ? [v12: $i] : (k2_cat_1(all_88_9,
% 159.27/24.91 | | | | | | | | | | | | v9) = v11 & k1_mcart_1(v10) = v11 &
% 159.27/24.91 | | | | | | | | | | | | k3_cat_1(all_88_9, v9) = v12 &
% 159.27/24.91 | | | | | | | | | | | | k2_mcart_1(v10) = v12 & $i(v12) & $i(v11)))
% 159.27/24.91 | | | | | | | | | | | | & ! [v9: $i] : ! [v10: $i] : ( ~
% 159.27/24.91 | | | | | | | | | | | | (k3_cat_1(all_88_9, v9) = v10) | ~ $i(v9) |
% 159.27/24.91 | | | | | | | | | | | | ~ m1_subset_1(v9, all_88_11) | ? [v11: $i] :
% 159.27/24.91 | | | | | | | | | | | | ? [v12: $i] : (k2_cat_1(all_88_9, v9) = v11 &
% 159.27/24.91 | | | | | | | | | | | | k1_mcart_1(v12) = v11 & k1_mcart_1(v9) = v12
% 159.27/24.91 | | | | | | | | | | | | & k2_mcart_1(v12) = v10 & $i(v12) & $i(v11)
% 159.27/24.91 | | | | | | | | | | | | & $i(v10))))
% 159.27/24.91 | | | | | | | | | | | |
% 159.27/24.91 | | | | | | | | | | | | GROUND_INST: instantiating (dt_k11_nattra_1) with all_88_12,
% 159.27/24.91 | | | | | | | | | | | | all_88_10, all_269_0, simplifying with (31), (32),
% 159.27/24.91 | | | | | | | | | | | | (34), (66), (67), (197), (219) gives:
% 159.27/24.91 | | | | | | | | | | | | (256) m4_nattra_1(all_269_0, all_88_12, all_88_10)
% 159.27/24.91 | | | | | | | | | | | |
% 159.27/24.91 | | | | | | | | | | | | DELTA: instantiating (255) with fresh symbols all_466_0,
% 159.27/24.91 | | | | | | | | | | | | all_466_1, all_466_2, all_466_3, all_466_4,
% 159.27/24.91 | | | | | | | | | | | | all_466_5, all_466_6, all_466_7, all_466_8 gives:
% 159.27/24.91 | | | | | | | | | | | | (257) all_269_0 = all_88_11 & k1_relat_1(all_466_8) =
% 159.27/24.91 | | | | | | | | | | | | all_466_7 & u1_cat_1(all_88_9) = all_269_1 &
% 159.27/24.91 | | | | | | | | | | | | u5_cat_1(all_88_9) = all_466_8 & $i(all_466_0) &
% 159.27/24.91 | | | | | | | | | | | | $i(all_466_1) & $i(all_466_2) & $i(all_466_3) &
% 159.27/24.91 | | | | | | | | | | | | $i(all_466_4) & $i(all_466_5) & $i(all_466_6) &
% 159.27/24.91 | | | | | | | | | | | | $i(all_466_7) & $i(all_466_8) & ! [v0: $i] : !
% 159.27/24.91 | | | | | | | | | | | | [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~
% 159.27/24.91 | | | | | | | | | | | | (k13_cat_2(all_88_9, all_88_9, v2, v0) = v3) |
% 159.27/24.91 | | | | | | | | | | | | ~ (k3_cat_1(all_88_9, v0) = v1) | ~ $i(v2) | ~
% 159.27/24.91 | | | | | | | | | | | | $i(v0) | ~ m1_subset_1(v2, all_88_11) | ~
% 159.27/24.91 | | | | | | | | | | | | m1_subset_1(v0, all_88_11) | r2_hidden(v3,
% 159.27/24.91 | | | | | | | | | | | | all_466_7) | ? [v4: $i] : ( ~ (v4 = v1) &
% 159.27/24.91 | | | | | | | | | | | | k2_cat_1(all_88_9, v2) = v4 & $i(v4))) & !
% 159.27/24.91 | | | | | | | | | | | | [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~
% 159.27/24.91 | | | | | | | | | | | | (k10_cat_1(all_88_9, v0) = v1) | ~
% 159.27/24.91 | | | | | | | | | | | | (k7_nattra_1(all_88_12, all_88_10, v0) = v2) |
% 159.27/24.91 | | | | | | | | | | | | ~ $i(v0) | ~ m2_cat_1(v0, all_88_12, all_88_10)
% 159.27/24.91 | | | | | | | | | | | | | ~ m1_subset_1(v0, all_269_1) | ? [v3: $i] :
% 159.27/24.91 | | | | | | | | | | | | (k4_tarski(v3, v2) = v1 & k4_tarski(v0, v0) = v3
% 159.27/24.91 | | | | | | | | | | | | & $i(v3) & $i(v1))) & ! [v0: $i] : ! [v1:
% 159.27/24.91 | | | | | | | | | | | | $i] : ! [v2: $i] : ( ~ (k10_cat_1(all_88_9, v0)
% 159.27/24.91 | | | | | | | | | | | | = v1) | ~ (k4_tarski(v0, v0) = v2) | ~
% 159.27/24.91 | | | | | | | | | | | | $i(v0) | ~ m2_cat_1(v0, all_88_12, all_88_10) |
% 159.27/24.91 | | | | | | | | | | | | ~ m1_subset_1(v0, all_269_1) | ? [v3: $i] :
% 159.27/24.91 | | | | | | | | | | | | (k7_nattra_1(all_88_12, all_88_10, v0) = v3 &
% 159.27/24.91 | | | | | | | | | | | | k4_tarski(v2, v3) = v1 & $i(v3) & $i(v1))) &
% 159.27/24.91 | | | | | | | | | | | | ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~
% 159.27/24.91 | | | | | | | | | | | | (k13_cat_2(all_88_9, all_88_9, v1, v0) = v2) |
% 159.27/24.91 | | | | | | | | | | | | ~ $i(v1) | ~ $i(v0) | ~ r2_hidden(v2,
% 159.27/24.91 | | | | | | | | | | | | all_466_7) | ~ m1_subset_1(v1, all_88_11) |
% 159.27/24.91 | | | | | | | | | | | | ~ m1_subset_1(v0, all_88_11) | ? [v3: $i] : ?
% 159.27/24.91 | | | | | | | | | | | | [v4: $i] : ? [v5: $i] : ? [v6: $i] : ? [v7:
% 159.27/24.91 | | | | | | | | | | | | $i] : ? [v8: $i] : ? [v9: $i] : ? [v10: $i]
% 159.27/24.91 | | | | | | | | | | | | : ? [v11: $i] : ? [v12: $i] :
% 159.27/24.91 | | | | | | | | | | | | (k1_funct_1(all_466_8, v2) = v3 &
% 159.27/24.91 | | | | | | | | | | | | k8_nattra_1(all_88_12, all_88_10, v4, v5, v7,
% 159.27/24.91 | | | | | | | | | | | | v10, v11) = v12 & k4_tarski(v9, v12) = v3 &
% 159.27/24.91 | | | | | | | | | | | | k4_tarski(v8, v11) = v1 & k4_tarski(v6, v10) =
% 159.27/24.91 | | | | | | | | | | | | v0 & k4_tarski(v5, v7) = v8 & k4_tarski(v4,
% 159.27/24.91 | | | | | | | | | | | | v7) = v9 & k4_tarski(v4, v5) = v6 & $i(v12)
% 159.27/24.91 | | | | | | | | | | | | & $i(v11) & $i(v10) & $i(v9) & $i(v8) & $i(v7)
% 159.27/24.91 | | | | | | | | | | | | & $i(v6) & $i(v5) & $i(v4) & $i(v3) &
% 159.27/24.91 | | | | | | | | | | | | m2_nattra_1(v11, all_88_12, all_88_10, v5, v7)
% 159.27/24.91 | | | | | | | | | | | | & m2_nattra_1(v10, all_88_12, all_88_10, v4,
% 159.27/24.91 | | | | | | | | | | | | v5) & m2_cat_1(v7, all_88_12, all_88_10) &
% 159.27/24.91 | | | | | | | | | | | | m2_cat_1(v5, all_88_12, all_88_10) &
% 159.27/24.91 | | | | | | | | | | | | m2_cat_1(v4, all_88_12, all_88_10))) & ! [v0:
% 159.27/24.91 | | | | | | | | | | | | $i] : ! [v1: $i] : ! [v2: $i] : ( ~
% 159.27/24.91 | | | | | | | | | | | | (k2_cat_1(all_88_9, v2) = v1) | ~
% 159.27/24.91 | | | | | | | | | | | | (k3_cat_1(all_88_9, v0) = v1) | ~ $i(v2) | ~
% 159.27/24.91 | | | | | | | | | | | | $i(v0) | ~ m1_subset_1(v2, all_88_11) | ~
% 159.27/24.91 | | | | | | | | | | | | m1_subset_1(v0, all_88_11) | ? [v3: $i] :
% 159.27/24.91 | | | | | | | | | | | | (k13_cat_2(all_88_9, all_88_9, v2, v0) = v3 &
% 159.27/24.91 | | | | | | | | | | | | $i(v3) & r2_hidden(v3, all_466_7))) & ! [v0:
% 159.27/24.91 | | | | | | | | | | | | $i] : ! [v1: $i] : ( ~ (k2_cat_1(all_88_9, v0)
% 159.27/24.91 | | | | | | | | | | | | = v1) | ~ $i(v0) | ~ m1_subset_1(v0,
% 159.27/24.91 | | | | | | | | | | | | all_88_11) | ? [v2: $i] : ? [v3: $i] :
% 159.27/24.91 | | | | | | | | | | | | (k1_mcart_1(v2) = v1 & k1_mcart_1(v0) = v2 &
% 159.27/24.91 | | | | | | | | | | | | k3_cat_1(all_88_9, v0) = v3 & k2_mcart_1(v2) =
% 159.27/24.91 | | | | | | | | | | | | v3 & $i(v3) & $i(v2) & $i(v1))) & ! [v0: $i]
% 159.27/24.91 | | | | | | | | | | | | : ! [v1: $i] : ( ~ (k1_mcart_1(v0) = v1) | ~
% 159.27/24.91 | | | | | | | | | | | | $i(v0) | ~ m1_subset_1(v0, all_88_11) | ? [v2:
% 159.27/24.91 | | | | | | | | | | | | $i] : ? [v3: $i] : (k2_cat_1(all_88_9, v0) =
% 159.27/24.91 | | | | | | | | | | | | v2 & k1_mcart_1(v1) = v2 & k3_cat_1(all_88_9,
% 159.27/24.91 | | | | | | | | | | | | v0) = v3 & k2_mcart_1(v1) = v3 & $i(v3) &
% 159.27/24.91 | | | | | | | | | | | | $i(v2))) & ! [v0: $i] : ! [v1: $i] : ( ~
% 159.27/24.91 | | | | | | | | | | | | (k3_cat_1(all_88_9, v0) = v1) | ~ $i(v0) | ~
% 159.27/24.91 | | | | | | | | | | | | m1_subset_1(v0, all_88_11) | ? [v2: $i] : ?
% 159.27/24.91 | | | | | | | | | | | | [v3: $i] : (k2_cat_1(all_88_9, v0) = v2 &
% 159.27/24.91 | | | | | | | | | | | | k1_mcart_1(v3) = v2 & k1_mcart_1(v0) = v3 &
% 159.27/24.91 | | | | | | | | | | | | k2_mcart_1(v3) = v1 & $i(v3) & $i(v2) &
% 159.27/24.91 | | | | | | | | | | | | $i(v1)))
% 159.27/24.91 | | | | | | | | | | | |
% 159.27/24.91 | | | | | | | | | | | | ALPHA: (257) implies:
% 159.27/24.91 | | | | | | | | | | | | (258) all_269_0 = all_88_11
% 159.27/24.91 | | | | | | | | | | | |
% 159.27/24.91 | | | | | | | | | | | | REDUCE: (219), (258) imply:
% 159.27/24.91 | | | | | | | | | | | | (259) k11_nattra_1(all_88_12, all_88_10) = all_88_11
% 159.27/24.91 | | | | | | | | | | | |
% 159.27/24.91 | | | | | | | | | | | | REDUCE: (218), (258) imply:
% 159.27/24.91 | | | | | | | | | | | | (260) $i(all_88_11)
% 159.27/24.91 | | | | | | | | | | | |
% 159.27/24.91 | | | | | | | | | | | | REDUCE: (256), (258) imply:
% 159.27/24.91 | | | | | | | | | | | | (261) m4_nattra_1(all_88_11, all_88_12, all_88_10)
% 159.27/24.91 | | | | | | | | | | | |
% 159.27/24.91 | | | | | | | | | | | | BETA: splitting (221) gives:
% 159.27/24.91 | | | | | | | | | | | |
% 159.27/24.91 | | | | | | | | | | | | Case 1:
% 159.27/24.91 | | | | | | | | | | | | |
% 159.27/24.91 | | | | | | | | | | | | | (262) ~ (u2_cat_1(all_88_12) = all_88_8)
% 159.27/24.91 | | | | | | | | | | | | |
% 159.27/24.91 | | | | | | | | | | | | | REDUCE: (251), (262) imply:
% 159.27/24.91 | | | | | | | | | | | | | (263) ~ (u2_cat_1(all_88_12) = all_88_11)
% 159.27/24.91 | | | | | | | | | | | | |
% 159.27/24.91 | | | | | | | | | | | | | PRED_UNIFY: (43), (263) imply:
% 159.27/24.91 | | | | | | | | | | | | | (264) $false
% 159.27/24.91 | | | | | | | | | | | | |
% 159.27/24.91 | | | | | | | | | | | | | CLOSE: (264) is inconsistent.
% 159.27/24.91 | | | | | | | | | | | | |
% 159.27/24.91 | | | | | | | | | | | | Case 2:
% 159.27/24.91 | | | | | | | | | | | | |
% 159.27/24.91 | | | | | | | | | | | | |
% 159.27/24.91 | | | | | | | | | | | | | GROUND_INST: instantiating (2) with all_88_12, all_88_10,
% 159.27/24.91 | | | | | | | | | | | | | all_88_11, all_88_0, all_88_5, all_88_3, all_88_2,
% 159.27/24.91 | | | | | | | | | | | | | all_88_1, simplifying with (31), (32), (34), (38),
% 159.27/24.91 | | | | | | | | | | | | | (40), (42), (45), (46), (66), (67), (126), (185),
% 159.27/24.91 | | | | | | | | | | | | | (197), (198), (199), (211), (259), (260), (261)
% 159.27/24.91 | | | | | | | | | | | | | gives:
% 159.27/24.91 | | | | | | | | | | | | | (265) r2_hidden(all_88_0, all_88_11)
% 159.27/24.91 | | | | | | | | | | | | |
% 159.27/24.91 | | | | | | | | | | | | | GROUND_INST: instantiating (t1_subset) with all_88_0,
% 159.27/24.91 | | | | | | | | | | | | | all_88_11, simplifying with (211), (254), (260),
% 159.27/24.91 | | | | | | | | | | | | | (265) gives:
% 159.27/24.91 | | | | | | | | | | | | | (266) $false
% 159.27/24.91 | | | | | | | | | | | | |
% 159.27/24.91 | | | | | | | | | | | | | CLOSE: (266) is inconsistent.
% 159.27/24.91 | | | | | | | | | | | | |
% 159.27/24.91 | | | | | | | | | | | | End of split
% 159.27/24.91 | | | | | | | | | | | |
% 159.27/24.91 | | | | | | | | | | | End of split
% 159.27/24.91 | | | | | | | | | | |
% 159.27/24.91 | | | | | | | | | | Case 2:
% 159.27/24.91 | | | | | | | | | | |
% 159.27/24.91 | | | | | | | | | | | (267) u1_cat_1(all_88_12) = all_113_1 & $i(all_113_1) &
% 159.27/24.91 | | | | | | | | | | | ~ m1_subset_1(all_88_6, all_113_1)
% 159.27/24.91 | | | | | | | | | | |
% 159.27/24.91 | | | | | | | | | | | ALPHA: (267) implies:
% 159.27/24.91 | | | | | | | | | | | (268) ~ m1_subset_1(all_88_6, all_113_1)
% 159.27/24.91 | | | | | | | | | | | (269) u1_cat_1(all_88_12) = all_113_1
% 159.27/24.92 | | | | | | | | | | |
% 159.27/24.92 | | | | | | | | | | | GROUND_INST: instantiating (22) with all_108_0, all_113_1,
% 159.27/24.92 | | | | | | | | | | | all_88_12, simplifying with (121), (269) gives:
% 159.27/24.92 | | | | | | | | | | | (270) all_113_1 = all_108_0
% 159.27/24.92 | | | | | | | | | | |
% 159.27/24.92 | | | | | | | | | | | PRED_UNIFY: (174), (268) imply:
% 159.27/24.92 | | | | | | | | | | | (271) ~ (all_113_1 = all_108_0)
% 159.27/24.92 | | | | | | | | | | |
% 159.27/24.92 | | | | | | | | | | | REDUCE: (270), (271) imply:
% 159.27/24.92 | | | | | | | | | | | (272) $false
% 159.27/24.92 | | | | | | | | | | |
% 159.27/24.92 | | | | | | | | | | | CLOSE: (272) is inconsistent.
% 159.27/24.92 | | | | | | | | | | |
% 159.27/24.92 | | | | | | | | | | End of split
% 159.27/24.92 | | | | | | | | | |
% 159.27/24.92 | | | | | | | | | Case 2:
% 159.27/24.92 | | | | | | | | | |
% 159.27/24.92 | | | | | | | | | | (273) u1_cat_1(all_88_12) = all_112_1 & $i(all_112_1) &
% 159.27/24.92 | | | | | | | | | | ~ m1_subset_1(all_88_4, all_112_1)
% 159.27/24.92 | | | | | | | | | |
% 159.27/24.92 | | | | | | | | | | ALPHA: (273) implies:
% 159.27/24.92 | | | | | | | | | | (274) ~ m1_subset_1(all_88_4, all_112_1)
% 159.27/24.92 | | | | | | | | | | (275) u1_cat_1(all_88_12) = all_112_1
% 159.27/24.92 | | | | | | | | | |
% 159.27/24.92 | | | | | | | | | | GROUND_INST: instantiating (22) with all_108_0, all_112_1,
% 159.27/24.92 | | | | | | | | | | all_88_12, simplifying with (121), (275) gives:
% 159.27/24.92 | | | | | | | | | | (276) all_112_1 = all_108_0
% 159.27/24.92 | | | | | | | | | |
% 159.27/24.92 | | | | | | | | | | PRED_UNIFY: (120), (274) imply:
% 159.27/24.92 | | | | | | | | | | (277) ~ (all_112_1 = all_108_0)
% 159.27/24.92 | | | | | | | | | |
% 159.27/24.92 | | | | | | | | | | REDUCE: (276), (277) imply:
% 159.27/24.92 | | | | | | | | | | (278) $false
% 159.27/24.92 | | | | | | | | | |
% 159.27/24.92 | | | | | | | | | | CLOSE: (278) is inconsistent.
% 159.27/24.92 | | | | | | | | | |
% 159.27/24.92 | | | | | | | | | End of split
% 159.27/24.92 | | | | | | | | |
% 159.27/24.92 | | | | | | | | End of split
% 159.27/24.92 | | | | | | | |
% 159.27/24.92 | | | | | | | End of split
% 159.27/24.92 | | | | | | |
% 159.27/24.92 | | | | | | Case 2:
% 159.27/24.92 | | | | | | |
% 159.27/24.92 | | | | | | | (279) u2_cat_1(all_88_12) = all_124_5 & $i(all_124_5) & ~
% 159.27/24.92 | | | | | | | m1_subset_1(all_88_7, all_124_5)
% 159.27/24.92 | | | | | | |
% 159.27/24.92 | | | | | | | ALPHA: (279) implies:
% 159.27/24.92 | | | | | | | (280) ~ m1_subset_1(all_88_7, all_124_5)
% 159.27/24.92 | | | | | | | (281) u2_cat_1(all_88_12) = all_124_5
% 159.27/24.92 | | | | | | |
% 159.27/24.92 | | | | | | | GROUND_INST: instantiating (21) with all_88_11, all_124_5,
% 159.27/24.92 | | | | | | | all_88_12, simplifying with (43), (281) gives:
% 159.27/24.92 | | | | | | | (282) all_124_5 = all_88_11
% 159.27/24.92 | | | | | | |
% 159.27/24.92 | | | | | | | PRED_UNIFY: (33), (280) imply:
% 159.27/24.92 | | | | | | | (283) ~ (all_124_5 = all_88_11)
% 159.27/24.92 | | | | | | |
% 159.27/24.92 | | | | | | | REDUCE: (282), (283) imply:
% 159.27/24.92 | | | | | | | (284) $false
% 159.27/24.92 | | | | | | |
% 159.27/24.92 | | | | | | | CLOSE: (284) is inconsistent.
% 159.27/24.92 | | | | | | |
% 159.27/24.92 | | | | | | End of split
% 159.27/24.92 | | | | | |
% 159.27/24.92 | | | | | Case 2:
% 159.27/24.92 | | | | | |
% 159.27/24.92 | | | | | | (285) u2_cat_1(all_88_12) = all_126_5 & $i(all_126_5) & ~
% 159.27/24.92 | | | | | | m1_subset_1(all_88_7, all_126_5)
% 159.27/24.92 | | | | | |
% 159.27/24.92 | | | | | | ALPHA: (285) implies:
% 159.27/24.92 | | | | | | (286) ~ m1_subset_1(all_88_7, all_126_5)
% 159.27/24.92 | | | | | | (287) u2_cat_1(all_88_12) = all_126_5
% 159.27/24.92 | | | | | |
% 159.27/24.92 | | | | | | GROUND_INST: instantiating (21) with all_88_11, all_126_5,
% 159.27/24.92 | | | | | | all_88_12, simplifying with (43), (287) gives:
% 159.27/24.92 | | | | | | (288) all_126_5 = all_88_11
% 159.27/24.92 | | | | | |
% 159.27/24.92 | | | | | | PRED_UNIFY: (33), (286) imply:
% 159.27/24.92 | | | | | | (289) ~ (all_126_5 = all_88_11)
% 159.27/24.92 | | | | | |
% 159.27/24.92 | | | | | | REDUCE: (288), (289) imply:
% 159.27/24.92 | | | | | | (290) $false
% 159.27/24.92 | | | | | |
% 159.27/24.92 | | | | | | CLOSE: (290) is inconsistent.
% 159.27/24.92 | | | | | |
% 159.27/24.92 | | | | | End of split
% 159.27/24.92 | | | | |
% 159.27/24.92 | | | | Case 2:
% 159.27/24.92 | | | | |
% 159.27/24.92 | | | | | (291) u2_cat_1(all_88_12) = all_109_1 & $i(all_109_1) & ~
% 159.27/24.92 | | | | | m1_subset_1(all_88_7, all_109_1)
% 159.27/24.92 | | | | |
% 159.27/24.92 | | | | | ALPHA: (291) implies:
% 159.27/24.92 | | | | | (292) ~ m1_subset_1(all_88_7, all_109_1)
% 159.27/24.92 | | | | | (293) u2_cat_1(all_88_12) = all_109_1
% 159.27/24.92 | | | | |
% 159.27/24.92 | | | | | GROUND_INST: instantiating (21) with all_88_11, all_109_1, all_88_12,
% 159.27/24.92 | | | | | simplifying with (43), (293) gives:
% 159.27/24.92 | | | | | (294) all_109_1 = all_88_11
% 159.27/24.92 | | | | |
% 159.27/24.92 | | | | | PRED_UNIFY: (33), (292) imply:
% 159.27/24.92 | | | | | (295) ~ (all_109_1 = all_88_11)
% 159.27/24.92 | | | | |
% 159.27/24.92 | | | | | REDUCE: (294), (295) imply:
% 159.27/24.92 | | | | | (296) $false
% 159.27/24.92 | | | | |
% 159.27/24.92 | | | | | CLOSE: (296) is inconsistent.
% 159.27/24.92 | | | | |
% 159.27/24.92 | | | | End of split
% 159.27/24.92 | | | |
% 159.27/24.92 | | | Case 2:
% 159.27/24.92 | | | |
% 159.27/24.92 | | | | (297) u2_cat_1(all_88_12) = all_125_5 & $i(all_125_5) & ~
% 159.27/24.92 | | | | m1_subset_1(all_88_7, all_125_5)
% 159.27/24.92 | | | |
% 159.27/24.92 | | | | ALPHA: (297) implies:
% 159.27/24.92 | | | | (298) ~ m1_subset_1(all_88_7, all_125_5)
% 159.27/24.92 | | | | (299) u2_cat_1(all_88_12) = all_125_5
% 159.27/24.92 | | | |
% 159.27/24.92 | | | | GROUND_INST: instantiating (21) with all_88_11, all_125_5, all_88_12,
% 159.27/24.92 | | | | simplifying with (43), (299) gives:
% 159.27/24.92 | | | | (300) all_125_5 = all_88_11
% 159.27/24.92 | | | |
% 159.27/24.92 | | | | PRED_UNIFY: (33), (298) imply:
% 159.27/24.92 | | | | (301) ~ (all_125_5 = all_88_11)
% 159.27/24.92 | | | |
% 159.27/24.92 | | | | REDUCE: (300), (301) imply:
% 159.27/24.92 | | | | (302) $false
% 159.27/24.92 | | | |
% 159.27/24.92 | | | | CLOSE: (302) is inconsistent.
% 159.27/24.92 | | | |
% 159.27/24.92 | | | End of split
% 159.27/24.92 | | |
% 159.27/24.92 | | End of split
% 159.27/24.92 | |
% 159.27/24.92 | Case 2:
% 159.27/24.92 | |
% 159.27/24.92 | | (303) u2_cat_1(all_88_12) = all_108_1 & $i(all_108_1) & ~
% 159.27/24.92 | | m1_subset_1(all_88_7, all_108_1)
% 159.27/24.92 | |
% 159.27/24.92 | | ALPHA: (303) implies:
% 159.27/24.92 | | (304) ~ m1_subset_1(all_88_7, all_108_1)
% 159.27/24.92 | | (305) u2_cat_1(all_88_12) = all_108_1
% 159.27/24.92 | |
% 159.27/24.92 | | GROUND_INST: instantiating (21) with all_88_11, all_108_1, all_88_12,
% 159.27/24.92 | | simplifying with (43), (305) gives:
% 159.27/24.92 | | (306) all_108_1 = all_88_11
% 159.27/24.92 | |
% 159.27/24.92 | | PRED_UNIFY: (33), (304) imply:
% 159.27/24.92 | | (307) ~ (all_108_1 = all_88_11)
% 159.27/24.92 | |
% 159.27/24.92 | | REDUCE: (306), (307) imply:
% 159.27/24.92 | | (308) $false
% 159.27/24.92 | |
% 159.27/24.92 | | CLOSE: (308) is inconsistent.
% 159.27/24.92 | |
% 159.27/24.92 | End of split
% 159.27/24.92 |
% 159.27/24.92 End of proof
% 159.27/24.92
% 159.27/24.92 Sub-proof #1 shows that the following formulas are inconsistent:
% 159.27/24.92 ----------------------------------------------------------------
% 159.27/24.92 (1) $i(all_88_8)
% 159.27/24.92 (2) $i(all_88_12)
% 159.27/24.92 (3) l1_cat_1(all_88_10)
% 159.27/24.92 (4) m2_cat_1(all_88_3, all_88_12, all_88_10)
% 159.27/24.92 (5) ~ m1_subset_1(all_88_0, all_88_8)
% 159.27/24.92 (6) k11_nattra_1(all_88_12, all_88_10) = all_88_8
% 159.27/24.92 (7) $i(all_88_3)
% 159.27/24.92 (8) v2_cat_1(all_88_10)
% 159.27/24.92 (9) $i(all_88_5)
% 159.27/24.92 (10) k4_tarski(all_88_2, all_88_1) = all_88_0
% 159.27/24.92 (11) $i(all_88_1)
% 159.27/24.92 (12) ! [v0: $i] : ! [v1: $i] : ( ~ $i(v1) | ~ $i(v0) | ~ r2_hidden(v0,
% 159.27/24.92 v1) | m1_subset_1(v0, v1))
% 159.27/24.92 (13) $i(all_88_10)
% 159.27/24.92 (14) l1_cat_1(all_88_12)
% 159.27/24.92 (15) v2_cat_1(all_88_12)
% 159.27/24.92 (16) r2_nattra_1(all_88_12, all_88_10, all_88_5, all_88_3)
% 159.27/24.92 (17) m2_nattra_1(all_88_1, all_88_12, all_88_10, all_88_5, all_88_3)
% 159.27/24.92 (18) m2_cat_1(all_88_5, all_88_12, all_88_10)
% 159.27/24.92 (19) $i(all_88_0)
% 159.27/24.92 (20) m4_nattra_1(all_88_8, all_88_12, all_88_10)
% 159.27/24.92 (21) k4_tarski(all_88_5, all_88_3) = all_88_2
% 159.27/24.92 (22) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : !
% 159.27/24.92 [v5: $i] : ! [v6: $i] : ! [v7: $i] : ( ~ (k11_nattra_1(v0, v1) = v2) |
% 159.27/24.92 ~ (k4_tarski(v6, v7) = v3) | ~ (k4_tarski(v4, v5) = v6) | ~ $i(v7)
% 159.27/24.92 | ~ $i(v5) | ~ $i(v4) | ~ $i(v3) | ~ $i(v2) | ~ $i(v1) | ~
% 159.27/24.92 $i(v0) | ~ r2_nattra_1(v0, v1, v4, v5) | ~ m2_nattra_1(v7, v0, v1,
% 159.27/24.92 v4, v5) | ~ m2_cat_1(v5, v0, v1) | ~ m2_cat_1(v4, v0, v1) | ~
% 159.27/24.92 m4_nattra_1(v2, v0, v1) | ~ l1_cat_1(v1) | ~ l1_cat_1(v0) | ~
% 159.27/24.92 v2_cat_1(v1) | ~ v2_cat_1(v0) | r2_hidden(v3, v2))
% 159.27/24.92
% 159.27/24.92 Begin of proof
% 159.27/24.92 |
% 159.27/24.92 | GROUND_INST: instantiating (22) with all_88_12, all_88_10, all_88_8, all_88_0,
% 159.27/24.92 | all_88_5, all_88_3, all_88_2, all_88_1, simplifying with (1),
% 159.27/24.92 | (2), (3), (4), (6), (7), (8), (9), (10), (11), (13), (14), (15),
% 159.27/24.92 | (16), (17), (18), (19), (20), (21) gives:
% 159.27/24.92 | (23) r2_hidden(all_88_0, all_88_8)
% 159.27/24.92 |
% 159.27/24.92 | GROUND_INST: instantiating (12) with all_88_0, all_88_8, simplifying with (1),
% 159.27/24.92 | (5), (19), (23) gives:
% 159.27/24.92 | (24) $false
% 159.27/24.92 |
% 159.27/24.92 | CLOSE: (24) is inconsistent.
% 159.27/24.92 |
% 159.27/24.92 End of proof
% 159.27/24.92 % SZS output end Proof for theBenchmark
% 159.27/24.92
% 159.27/24.92 24307ms
%------------------------------------------------------------------------------