TSTP Solution File: SCT171+1 by Princess---230619
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%------------------------------------------------------------------------------
% File : Princess---230619
% Problem : SCT171+1 : TPTP v8.1.2. Released v5.3.0.
% Transfm : none
% Format : tptp
% Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s
% Computer : n025.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Aug 31 14:20:55 EDT 2023
% Result : Theorem 25.43s 4.22s
% Output : Proof 40.49s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.13 % Problem : SCT171+1 : TPTP v8.1.2. Released v5.3.0.
% 0.13/0.13 % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s
% 0.13/0.34 % Computer : n025.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Thu Aug 24 15:11:36 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.20/0.60 ________ _____
% 0.20/0.60 ___ __ \_________(_)________________________________
% 0.20/0.60 __ /_/ /_ ___/_ /__ __ \ ___/ _ \_ ___/_ ___/
% 0.20/0.60 _ ____/_ / _ / _ / / / /__ / __/(__ )_(__ )
% 0.20/0.60 /_/ /_/ /_/ /_/ /_/\___/ \___//____/ /____/
% 0.20/0.60
% 0.20/0.60 A Theorem Prover for First-Order Logic modulo Linear Integer Arithmetic
% 0.20/0.60 (2023-06-19)
% 0.20/0.60
% 0.20/0.60 (c) Philipp Rümmer, 2009-2023
% 0.20/0.60 Contributors: Peter Backeman, Peter Baumgartner, Angelo Brillout, Zafer Esen,
% 0.20/0.60 Amanda Stjerna.
% 0.20/0.60 Free software under BSD-3-Clause.
% 0.20/0.60
% 0.20/0.60 For more information, visit http://www.philipp.ruemmer.org/princess.shtml
% 0.20/0.60
% 0.20/0.60 Loading /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 0.20/0.61 Running up to 7 provers in parallel.
% 0.20/0.62 Prover 0: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893
% 0.20/0.62 Prover 2: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1065072994
% 0.20/0.62 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1571432423
% 0.20/0.62 Prover 3: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996
% 0.20/0.62 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696
% 0.20/0.62 Prover 6: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365
% 0.20/0.63 Prover 5: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288
% 6.89/1.73 Prover 4: Preprocessing ...
% 6.89/1.77 Prover 2: Preprocessing ...
% 6.89/1.77 Prover 5: Preprocessing ...
% 6.89/1.77 Prover 0: Preprocessing ...
% 6.89/1.77 Prover 3: Preprocessing ...
% 6.89/1.77 Prover 6: Preprocessing ...
% 6.89/1.78 Prover 1: Preprocessing ...
% 22.36/3.84 Prover 1: Warning: ignoring some quantifiers
% 22.91/3.87 Prover 3: Warning: ignoring some quantifiers
% 23.61/3.95 Prover 3: Constructing countermodel ...
% 23.80/3.95 Prover 1: Constructing countermodel ...
% 24.62/4.07 Prover 6: Proving ...
% 25.43/4.21 Prover 3: proved (3591ms)
% 25.43/4.21
% 25.43/4.22 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 25.43/4.22
% 25.43/4.23 Prover 6: proved (3601ms)
% 25.43/4.23
% 25.43/4.23 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 25.43/4.23
% 25.43/4.24 Prover 7: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470
% 25.43/4.24 Prover 8: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089
% 29.19/4.71 Prover 8: Preprocessing ...
% 29.19/4.73 Prover 7: Preprocessing ...
% 29.90/4.81 Prover 5: Proving ...
% 29.90/4.81 Prover 5: stopped
% 30.21/4.82 Prover 10: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=919308125
% 30.21/4.94 Prover 4: Warning: ignoring some quantifiers
% 30.90/5.04 Prover 4: Constructing countermodel ...
% 32.02/5.12 Prover 10: Preprocessing ...
% 33.51/5.32 Prover 0: Proving ...
% 33.51/5.32 Prover 0: stopped
% 33.51/5.32 Prover 11: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1509710984
% 34.96/5.49 Prover 8: Warning: ignoring some quantifiers
% 35.54/5.57 Prover 8: Constructing countermodel ...
% 35.54/5.65 Prover 11: Preprocessing ...
% 35.54/5.66 Prover 1: Found proof (size 442)
% 35.54/5.66 Prover 1: proved (5043ms)
% 35.54/5.66 Prover 4: stopped
% 35.54/5.68 Prover 8: stopped
% 36.22/5.73 Prover 10: Warning: ignoring some quantifiers
% 36.22/5.73 Prover 2: Proving ...
% 36.22/5.73 Prover 2: stopped
% 37.07/5.77 Prover 10: Constructing countermodel ...
% 37.07/5.78 Prover 10: stopped
% 37.23/5.82 Prover 7: Warning: ignoring some quantifiers
% 37.23/5.82 Prover 11: stopped
% 37.48/5.90 Prover 7: Constructing countermodel ...
% 37.48/5.90 Prover 7: stopped
% 37.48/5.90
% 37.48/5.90 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 37.48/5.90
% 39.18/6.34 % SZS output start Proof for theBenchmark
% 39.18/6.36 Assumptions after simplification:
% 39.18/6.36 ---------------------------------
% 39.18/6.36
% 39.18/6.36 (conj_0)
% 39.67/6.38 $i(p) & $i(f) & $i(d) & $i(c) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ?
% 39.67/6.38 [v3: $i] : ? [v4: int] : ( ~ (v4 = 0) & produc171383831le_alt(c, d) = v0 &
% 39.67/6.38 hBOOL(v3) = v4 & member1056080916le_alt(v0) = v1 & hAPP_f745298353l_bool(v1,
% 39.67/6.38 v2) = v3 & hAPP_f695124765t_bool(f, p) = v2 & $i(v3) & $i(v2) & $i(v1) &
% 39.67/6.38 $i(v0))
% 39.67/6.38
% 39.67/6.38 (fact_11__096ALL_Ai_O_A_Ic_A_060_092_060_094bsub_062P_Ai_092_060_094esub_062_Ad_J)
% 39.67/6.39 $i(arrow_812378712_above) & $i(n) & $i(h) & $i(ord_less_nat) &
% 39.67/6.39 $i(arrow_78446834_mktop) & $i(arrow_2077223396_mkbot) & $i(p) & $i(e) & $i(d)
% 39.67/6.39 & $i(c) & ? [v0: $i] : ? [v1: $i] : (produc171383831le_alt(c, d) = v0 &
% 39.67/6.39 member1056080916le_alt(v0) = v1 & $i(v1) & $i(v0) & ! [v2: $i] : ! [v3:
% 39.67/6.39 $i] : ( ~ (hAPP_A588601142di_nat(h, v2) = v3) | ~ $i(v2) | ? [v4: $i] :
% 39.67/6.39 ? [v5: $i] : ? [v6: any] : ? [v7: $i] : ? [v8: $i] : ? [v9: any] : ?
% 39.67/6.39 [v10: $i] : ? [v11: $i] : ? [v12: $i] : ? [v13: any] : ? [v14: $i] :
% 39.67/6.39 ? [v15: $i] : ? [v16: $i] : ? [v17: $i] : ? [v18: any] : ? [v19: $i] :
% 39.67/6.39 ? [v20: $i] : ? [v21: $i] : ? [v22: any] :
% 39.67/6.39 (hAPP_n1699378549t_bool(ord_less_nat, v3) = v7 &
% 39.67/6.39 hAPP_f1336478923t_bool(arrow_812378712_above, v4) = v14 &
% 39.67/6.39 hAPP_A384644407t_bool(v14, c) = v15 &
% 39.67/6.39 hAPP_f1290184496t_bool(arrow_78446834_mktop, v4) = v10 &
% 39.67/6.39 hAPP_f1290184496t_bool(arrow_2077223396_mkbot, v4) = v19 & hBOOL(v21) =
% 39.67/6.39 v22 & hBOOL(v17) = v18 & hBOOL(v12) = v13 & hBOOL(v8) = v9 & hBOOL(v5) =
% 39.67/6.39 v6 & hAPP_f745298353l_bool(v1, v20) = v21 & hAPP_f745298353l_bool(v1,
% 39.67/6.39 v16) = v17 & hAPP_f745298353l_bool(v1, v11) = v12 &
% 39.67/6.39 hAPP_f745298353l_bool(v1, v4) = v5 & hAPP_nat_bool(v7, n) = v8 &
% 39.67/6.39 hAPP_A1374816149t_bool(p, v2) = v4 & hAPP_A619995676t_bool(v19, e) = v20
% 39.67/6.39 & hAPP_A619995676t_bool(v15, e) = v16 & hAPP_A619995676t_bool(v10, e) =
% 39.67/6.39 v11 & $i(v21) & $i(v20) & $i(v19) & $i(v17) & $i(v16) & $i(v15) &
% 39.67/6.39 $i(v14) & $i(v12) & $i(v11) & $i(v10) & $i(v8) & $i(v7) & $i(v5) &
% 39.67/6.39 $i(v4) & ( ~ (v6 = 0) | (( ~ (v9 = 0) | v13 = 0) & (v9 = 0 | (( ~ (v3 =
% 39.67/6.39 n) | v18 = 0) & (v22 = 0 | v3 = n))))))) & ! [v2: $i] : !
% 39.67/6.39 [v3: $i] : ( ~ (hAPP_A588601142di_nat(h, v2) = v3) | ~ $i(v2) | ? [v4: $i]
% 39.67/6.39 : ? [v5: $i] : ? [v6: any] : ? [v7: $i] : ? [v8: $i] : ? [v9: $i] :
% 39.67/6.39 ? [v10: $i] : ? [v11: any] : ? [v12: $i] : ? [v13: $i] : ? [v14: $i] :
% 39.67/6.40 ? [v15: $i] : ? [v16: any] : ? [v17: $i] : ? [v18: $i] : ? [v19: $i]
% 39.67/6.40 : ? [v20: any] : ? [v21: $i] : ? [v22: any] :
% 39.67/6.40 (hAPP_n1699378549t_bool(ord_less_nat, v3) = v4 &
% 39.67/6.40 hAPP_f1336478923t_bool(arrow_812378712_above, v7) = v12 &
% 39.67/6.40 hAPP_A384644407t_bool(v12, c) = v13 &
% 39.67/6.40 hAPP_f1290184496t_bool(arrow_78446834_mktop, v7) = v8 &
% 39.67/6.40 hAPP_f1290184496t_bool(arrow_2077223396_mkbot, v7) = v17 & hBOOL(v21) =
% 39.67/6.40 v22 & hBOOL(v19) = v20 & hBOOL(v15) = v16 & hBOOL(v10) = v11 & hBOOL(v5)
% 39.67/6.40 = v6 & hAPP_f745298353l_bool(v1, v18) = v19 & hAPP_f745298353l_bool(v1,
% 39.67/6.40 v14) = v15 & hAPP_f745298353l_bool(v1, v9) = v10 &
% 39.67/6.40 hAPP_f745298353l_bool(v1, v7) = v21 & hAPP_nat_bool(v4, n) = v5 &
% 39.67/6.40 hAPP_A1374816149t_bool(p, v2) = v7 & hAPP_A619995676t_bool(v17, e) = v18
% 39.67/6.40 & hAPP_A619995676t_bool(v13, e) = v14 & hAPP_A619995676t_bool(v8, e) =
% 39.67/6.40 v9 & $i(v21) & $i(v19) & $i(v18) & $i(v17) & $i(v15) & $i(v14) & $i(v13)
% 39.67/6.40 & $i(v12) & $i(v10) & $i(v9) & $i(v8) & $i(v7) & $i(v5) & $i(v4) & (v22
% 39.67/6.40 = 0 | (v6 = 0 & ~ (v11 = 0)) | ( ~ (v6 = 0) & ((v3 = n & ~ (v16 =
% 39.67/6.40 0)) | ( ~ (v20 = 0) & ~ (v3 = n))))))))
% 39.67/6.40
% 39.67/6.40 (fact_12__096c_A_060_092_060_094bsub_062P_A_Iinv_Ah_An_J_092_060_094esub_062_Ad_0)
% 39.67/6.40 $i(n) & $i(h) & $i(p) & $i(d) & $i(c) & $i(top_to1256827021i_bool) & ? [v0:
% 39.67/6.40 $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] : ? [v5: $i] :
% 39.67/6.40 (produc171383831le_alt(c, d) = v0 & hBOOL(v5) = 0 & member1056080916le_alt(v0)
% 39.67/6.40 = v1 & hAPP_f745298353l_bool(v1, v4) = v5 & hAPP_n385347014e_indi(v2, n) =
% 39.67/6.40 v3 & hAPP_A1374816149t_bool(p, v3) = v4 &
% 39.67/6.40 hilber1792103167di_nat(top_to1256827021i_bool, h) = v2 & $i(v5) & $i(v4) &
% 39.67/6.40 $i(v3) & $i(v2) & $i(v1) & $i(v0))
% 39.67/6.40
% 39.67/6.40 (fact_13__096c_A_060_092_060_094bsub_062F_A_I_Fi_O_Aif_Ah_Ai_A_060_An_Athen_Amkto)
% 39.67/6.40 $i(fequal_nat) & $i(if_fun1419651289t_bool) & $i(arrow_812378712_above) &
% 39.67/6.40 $i(n) & $i(h) & $i(ord_less_nat) & $i(arrow_78446834_mktop) &
% 39.67/6.40 $i(arrow_2077223396_mkbot) & $i(p) & $i(f) & $i(e) & $i(d) & $i(c) & ? [v0:
% 39.67/6.40 $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] : ? [v5: $i] :
% 39.67/6.40 ? [v6: $i] : ? [v7: $i] : ? [v8: $i] : ? [v9: $i] : ? [v10: $i] : ? [v11:
% 39.67/6.40 $i] : ? [v12: $i] : ? [v13: $i] : ? [v14: $i] : ? [v15: $i] : ? [v16:
% 39.67/6.40 $i] : ? [v17: $i] : ? [v18: $i] : ? [v19: $i] : ? [v20: $i] :
% 39.67/6.40 (cOMBB_317992461e_indi(fequal_nat, h) = v8 &
% 39.67/6.40 cOMBB_317992461e_indi(ord_less_nat, h) = v2 &
% 39.67/6.40 cOMBB_963584201e_indi(if_fun1419651289t_bool, v9) = v10 &
% 39.67/6.40 cOMBB_963584201e_indi(if_fun1419651289t_bool, v3) = v4 &
% 39.67/6.40 cOMBB_69933763e_indi(arrow_812378712_above, p) = v11 &
% 39.67/6.40 cOMBC_493523632t_bool(v11, c) = v12 & cOMBS_102864562t_bool(v10, v13) = v14
% 39.67/6.40 & cOMBS_102864562t_bool(v4, v6) = v7 &
% 39.67/6.40 cOMBB_1292070696e_indi(arrow_78446834_mktop, p) = v5 &
% 39.67/6.40 cOMBB_1292070696e_indi(arrow_2077223396_mkbot, p) = v15 &
% 39.67/6.40 cOMBC_1778077589t_bool(v15, e) = v16 & cOMBC_1778077589t_bool(v12, e) = v13
% 39.67/6.40 & cOMBC_1778077589t_bool(v5, e) = v6 & cOMBS_867867294t_bool(v14, v16) = v17
% 39.67/6.40 & cOMBS_867867294t_bool(v7, v17) = v18 & produc171383831le_alt(c, d) = v0 &
% 39.67/6.40 hBOOL(v20) = 0 & member1056080916le_alt(v0) = v1 & hAPP_f745298353l_bool(v1,
% 39.67/6.40 v19) = v20 & hAPP_f695124765t_bool(f, v18) = v19 &
% 39.67/6.40 cOMBC_277798809t_bool(v8, n) = v9 & cOMBC_277798809t_bool(v2, n) = v3 &
% 39.67/6.40 $i(v20) & $i(v19) & $i(v18) & $i(v17) & $i(v16) & $i(v15) & $i(v14) &
% 39.67/6.40 $i(v13) & $i(v12) & $i(v11) & $i(v10) & $i(v9) & $i(v8) & $i(v7) & $i(v6) &
% 39.67/6.40 $i(v5) & $i(v4) & $i(v3) & $i(v2) & $i(v1) & $i(v0))
% 39.67/6.40
% 39.67/6.40 (fact_14_PW)
% 39.67/6.41 $i(fequal_nat) & $i(if_fun1419651289t_bool) & $i(arrow_812378712_above) &
% 39.67/6.41 $i(n) & $i(h) & $i(ord_less_nat) & $i(arrow_78446834_mktop) &
% 39.67/6.41 $i(arrow_2077223396_mkbot) & $i(p) & $i(f) & $i(e) & $i(d) & $i(c) & ? [v0:
% 39.67/6.41 $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: any] : ? [v5: $i] :
% 39.67/6.41 ? [v6: $i] : ? [v7: $i] : ? [v8: $i] : ? [v9: $i] : ? [v10: $i] : ?
% 39.67/6.41 [v11: $i] : ? [v12: $i] : ? [v13: $i] : ? [v14: $i] : ? [v15: $i] : ?
% 39.67/6.41 [v16: $i] : ? [v17: $i] : ? [v18: $i] : ? [v19: $i] : ? [v20: $i] : ?
% 39.67/6.41 [v21: $i] : ? [v22: $i] : ? [v23: $i] : ? [v24: any] :
% 39.67/6.41 (cOMBB_317992461e_indi(fequal_nat, h) = v11 &
% 39.67/6.41 cOMBB_317992461e_indi(ord_less_nat, h) = v5 &
% 39.67/6.41 cOMBB_963584201e_indi(if_fun1419651289t_bool, v12) = v13 &
% 39.67/6.41 cOMBB_963584201e_indi(if_fun1419651289t_bool, v6) = v7 &
% 39.67/6.41 cOMBB_69933763e_indi(arrow_812378712_above, p) = v14 &
% 39.67/6.41 cOMBC_493523632t_bool(v14, c) = v15 & cOMBS_102864562t_bool(v13, v16) = v17
% 39.67/6.41 & cOMBS_102864562t_bool(v7, v9) = v10 &
% 39.67/6.41 cOMBB_1292070696e_indi(arrow_78446834_mktop, p) = v8 &
% 39.67/6.41 cOMBB_1292070696e_indi(arrow_2077223396_mkbot, p) = v18 &
% 39.67/6.41 cOMBC_1778077589t_bool(v18, e) = v19 & cOMBC_1778077589t_bool(v15, e) = v16
% 39.67/6.41 & cOMBC_1778077589t_bool(v8, e) = v9 & cOMBS_867867294t_bool(v17, v19) = v20
% 39.67/6.41 & cOMBS_867867294t_bool(v10, v20) = v21 & produc171383831le_alt(c, d) = v0 &
% 39.67/6.41 hBOOL(v23) = v24 & hBOOL(v3) = v4 & member1056080916le_alt(v0) = v1 &
% 39.67/6.41 hAPP_f745298353l_bool(v1, v22) = v23 & hAPP_f745298353l_bool(v1, v2) = v3 &
% 39.67/6.41 hAPP_f695124765t_bool(f, v21) = v22 & hAPP_f695124765t_bool(f, p) = v2 &
% 39.67/6.41 cOMBC_277798809t_bool(v11, n) = v12 & cOMBC_277798809t_bool(v5, n) = v6 &
% 39.67/6.41 $i(v23) & $i(v22) & $i(v21) & $i(v20) & $i(v19) & $i(v18) & $i(v17) &
% 39.67/6.41 $i(v16) & $i(v15) & $i(v14) & $i(v13) & $i(v12) & $i(v11) & $i(v10) & $i(v9)
% 39.67/6.41 & $i(v8) & $i(v7) & $i(v6) & $i(v5) & $i(v3) & $i(v2) & $i(v1) & $i(v0) &
% 39.67/6.41 ((v24 = 0 & v4 = 0) | ( ~ (v24 = 0) & ~ (v4 = 0))))
% 39.67/6.41
% 39.67/6.41 (fact_151_PiProf)
% 39.67/6.41 $i(if_fun1419651289t_bool) & $i(h) & $i(ord_less_nat) & $i(lba) & $i(lab) &
% 39.67/6.41 $i(arrow_413697182e_Prof) & ? [v0: $i] : (cOMBB_317992461e_indi(ord_less_nat,
% 39.67/6.41 h) = v0 & $i(v0) & ! [v1: $i] : ! [v2: $i] : ( ~
% 39.67/6.41 (cOMBC_277798809t_bool(v0, v1) = v2) | ~ $i(v1) | ? [v3: $i] : ? [v4:
% 39.67/6.41 $i] : ? [v5: $i] : ? [v6: $i] : ? [v7: $i] :
% 39.67/6.41 (cOMBC_481590946t_bool(v3, lab) = v4 & cOMBC_437064334t_bool(v4, lba) = v5
% 39.67/6.41 & cOMBB_963584201e_indi(if_fun1419651289t_bool, v2) = v3 &
% 39.67/6.41 member1277417654t_bool(v5) = v6 & hBOOL(v7) = 0 &
% 39.67/6.41 hAPP_f453661011l_bool(v6, arrow_413697182e_Prof) = v7 & $i(v7) & $i(v6)
% 39.67/6.41 & $i(v5) & $i(v4) & $i(v3))))
% 39.67/6.41
% 39.67/6.41 (fact_16__096_I_Fi_O_Aif_Ah_Ai_A_060_An_Athen_Amktop_A_IP_Ai_J_Ae_Aelse_Aif_Ah_Ai)
% 39.67/6.41 $i(fequal_nat) & $i(if_fun1419651289t_bool) & $i(arrow_812378712_above) &
% 39.67/6.41 $i(n) & $i(h) & $i(ord_less_nat) & $i(arrow_78446834_mktop) &
% 39.67/6.41 $i(arrow_2077223396_mkbot) & $i(p) & $i(e) & $i(c) & $i(arrow_413697182e_Prof)
% 39.67/6.41 & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] : ?
% 39.67/6.41 [v5: $i] : ? [v6: $i] : ? [v7: $i] : ? [v8: $i] : ? [v9: $i] : ? [v10:
% 39.67/6.41 $i] : ? [v11: $i] : ? [v12: $i] : ? [v13: $i] : ? [v14: $i] : ? [v15:
% 39.67/6.41 $i] : ? [v16: $i] : ? [v17: $i] : ? [v18: $i] :
% 39.67/6.41 (cOMBB_317992461e_indi(fequal_nat, h) = v6 &
% 39.67/6.41 cOMBB_317992461e_indi(ord_less_nat, h) = v0 &
% 39.67/6.41 cOMBB_963584201e_indi(if_fun1419651289t_bool, v7) = v8 &
% 39.67/6.41 cOMBB_963584201e_indi(if_fun1419651289t_bool, v1) = v2 &
% 39.67/6.41 cOMBB_69933763e_indi(arrow_812378712_above, p) = v9 &
% 39.67/6.41 cOMBC_493523632t_bool(v9, c) = v10 & cOMBS_102864562t_bool(v8, v11) = v12 &
% 39.67/6.41 cOMBS_102864562t_bool(v2, v4) = v5 &
% 39.67/6.41 cOMBB_1292070696e_indi(arrow_78446834_mktop, p) = v3 &
% 39.67/6.41 cOMBB_1292070696e_indi(arrow_2077223396_mkbot, p) = v13 &
% 39.67/6.41 cOMBC_1778077589t_bool(v13, e) = v14 & cOMBC_1778077589t_bool(v10, e) = v11
% 39.67/6.41 & cOMBC_1778077589t_bool(v3, e) = v4 & cOMBS_867867294t_bool(v12, v14) = v15
% 39.67/6.41 & cOMBS_867867294t_bool(v5, v15) = v16 & member1277417654t_bool(v16) = v17 &
% 39.67/6.41 hBOOL(v18) = 0 & hAPP_f453661011l_bool(v17, arrow_413697182e_Prof) = v18 &
% 39.67/6.41 cOMBC_277798809t_bool(v6, n) = v7 & cOMBC_277798809t_bool(v0, n) = v1 &
% 39.67/6.41 $i(v18) & $i(v17) & $i(v16) & $i(v15) & $i(v14) & $i(v13) & $i(v12) &
% 39.67/6.41 $i(v11) & $i(v10) & $i(v9) & $i(v8) & $i(v7) & $i(v6) & $i(v5) & $i(v4) &
% 39.67/6.41 $i(v3) & $i(v2) & $i(v1) & $i(v0))
% 39.67/6.41
% 39.67/6.41 (fact_17__096c_A_060_092_060_094bsub_062F_A_I_Fi_O_Aif_Ah_Ai_A_060_An_Athen_Amkto)
% 39.67/6.42 $i(fequal_nat) & $i(if_fun1419651289t_bool) & $i(arrow_812378712_above) &
% 39.67/6.42 $i(n) & $i(h) & $i(ord_less_nat) & $i(arrow_78446834_mktop) &
% 39.67/6.42 $i(arrow_2077223396_mkbot) & $i(p) & $i(f) & $i(e) & $i(c) & ? [v0: $i] : ?
% 39.67/6.42 [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] : ? [v5: $i] : ? [v6: $i]
% 39.67/6.42 : ? [v7: $i] : ? [v8: $i] : ? [v9: $i] : ? [v10: $i] : ? [v11: $i] : ?
% 39.67/6.42 [v12: $i] : ? [v13: $i] : ? [v14: $i] : ? [v15: $i] : ? [v16: $i] : ?
% 39.67/6.42 [v17: $i] : ? [v18: $i] : ? [v19: $i] : ? [v20: $i] :
% 39.67/6.42 (cOMBB_317992461e_indi(fequal_nat, h) = v8 &
% 39.67/6.42 cOMBB_317992461e_indi(ord_less_nat, h) = v2 &
% 39.67/6.42 cOMBB_963584201e_indi(if_fun1419651289t_bool, v9) = v10 &
% 39.67/6.42 cOMBB_963584201e_indi(if_fun1419651289t_bool, v3) = v4 &
% 39.67/6.42 cOMBB_69933763e_indi(arrow_812378712_above, p) = v11 &
% 39.67/6.42 cOMBC_493523632t_bool(v11, c) = v12 & cOMBS_102864562t_bool(v10, v13) = v14
% 39.67/6.42 & cOMBS_102864562t_bool(v4, v6) = v7 &
% 39.67/6.42 cOMBB_1292070696e_indi(arrow_78446834_mktop, p) = v5 &
% 39.67/6.42 cOMBB_1292070696e_indi(arrow_2077223396_mkbot, p) = v15 &
% 39.67/6.42 cOMBC_1778077589t_bool(v15, e) = v16 & cOMBC_1778077589t_bool(v12, e) = v13
% 39.67/6.42 & cOMBC_1778077589t_bool(v5, e) = v6 & cOMBS_867867294t_bool(v14, v16) = v17
% 39.67/6.42 & cOMBS_867867294t_bool(v7, v17) = v18 & produc171383831le_alt(c, e) = v0 &
% 39.67/6.42 hBOOL(v20) = 0 & member1056080916le_alt(v0) = v1 & hAPP_f745298353l_bool(v1,
% 39.67/6.42 v19) = v20 & hAPP_f695124765t_bool(f, v18) = v19 &
% 39.67/6.42 cOMBC_277798809t_bool(v8, n) = v9 & cOMBC_277798809t_bool(v2, n) = v3 &
% 39.67/6.42 $i(v20) & $i(v19) & $i(v18) & $i(v17) & $i(v16) & $i(v15) & $i(v14) &
% 39.67/6.42 $i(v13) & $i(v12) & $i(v11) & $i(v10) & $i(v9) & $i(v8) & $i(v7) & $i(v6) &
% 39.67/6.42 $i(v5) & $i(v4) & $i(v3) & $i(v2) & $i(v1) & $i(v0))
% 39.67/6.42
% 39.67/6.42 (fact_18__096e_A_060_092_060_094bsub_062F_A_I_Fi_O_Aif_Ah_Ai_A_060_An_Athen_Amkto)
% 39.67/6.42 $i(fequal_nat) & $i(if_fun1419651289t_bool) & $i(arrow_812378712_above) &
% 39.67/6.42 $i(n) & $i(h) & $i(ord_less_nat) & $i(arrow_78446834_mktop) &
% 39.67/6.42 $i(arrow_2077223396_mkbot) & $i(p) & $i(f) & $i(e) & $i(d) & $i(c) & ? [v0:
% 39.67/6.42 $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] : ? [v5: $i] :
% 39.67/6.42 ? [v6: $i] : ? [v7: $i] : ? [v8: $i] : ? [v9: $i] : ? [v10: $i] : ? [v11:
% 39.67/6.42 $i] : ? [v12: $i] : ? [v13: $i] : ? [v14: $i] : ? [v15: $i] : ? [v16:
% 39.67/6.42 $i] : ? [v17: $i] : ? [v18: $i] : ? [v19: $i] : ? [v20: $i] :
% 39.67/6.42 (cOMBB_317992461e_indi(fequal_nat, h) = v8 &
% 39.67/6.42 cOMBB_317992461e_indi(ord_less_nat, h) = v2 &
% 39.67/6.42 cOMBB_963584201e_indi(if_fun1419651289t_bool, v9) = v10 &
% 39.67/6.42 cOMBB_963584201e_indi(if_fun1419651289t_bool, v3) = v4 &
% 39.67/6.42 cOMBB_69933763e_indi(arrow_812378712_above, p) = v11 &
% 39.67/6.42 cOMBC_493523632t_bool(v11, c) = v12 & cOMBS_102864562t_bool(v10, v13) = v14
% 39.67/6.42 & cOMBS_102864562t_bool(v4, v6) = v7 &
% 39.67/6.42 cOMBB_1292070696e_indi(arrow_78446834_mktop, p) = v5 &
% 39.67/6.42 cOMBB_1292070696e_indi(arrow_2077223396_mkbot, p) = v15 &
% 39.67/6.42 cOMBC_1778077589t_bool(v15, e) = v16 & cOMBC_1778077589t_bool(v12, e) = v13
% 39.67/6.42 & cOMBC_1778077589t_bool(v5, e) = v6 & cOMBS_867867294t_bool(v14, v16) = v17
% 39.67/6.42 & cOMBS_867867294t_bool(v7, v17) = v18 & produc171383831le_alt(e, d) = v0 &
% 39.67/6.42 hBOOL(v20) = 0 & member1056080916le_alt(v0) = v1 & hAPP_f745298353l_bool(v1,
% 39.67/6.42 v19) = v20 & hAPP_f695124765t_bool(f, v18) = v19 &
% 39.67/6.42 cOMBC_277798809t_bool(v8, n) = v9 & cOMBC_277798809t_bool(v2, n) = v3 &
% 39.67/6.42 $i(v20) & $i(v19) & $i(v18) & $i(v17) & $i(v16) & $i(v15) & $i(v14) &
% 39.67/6.42 $i(v13) & $i(v12) & $i(v11) & $i(v10) & $i(v9) & $i(v8) & $i(v7) & $i(v6) &
% 39.67/6.42 $i(v5) & $i(v4) & $i(v3) & $i(v2) & $i(v1) & $i(v0))
% 39.67/6.42
% 39.67/6.42 (fact_191__096_Ie_A_060_092_060_094bsub_062F_A_I_Fi_O_Aif_Ah_Ai_A_060_An_Athen_Am)
% 39.67/6.42 $i(fequal_nat) & $i(if_fun1419651289t_bool) & $i(arrow_812378712_above) &
% 39.67/6.42 $i(n) & $i(h) & $i(ord_less_nat) & $i(arrow_78446834_mktop) &
% 39.67/6.42 $i(arrow_2077223396_mkbot) & $i(p) & $i(f) & $i(e) & $i(d) & $i(c) & $i(b) &
% 39.67/6.42 $i(a) & $i(lba) & $i(lab) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3:
% 39.67/6.42 $i] : ? [v4: $i] : ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : ? [v8: $i] :
% 39.67/6.42 ? [v9: $i] : ? [v10: $i] : ? [v11: $i] : ? [v12: $i] : ? [v13: $i] : ?
% 39.67/6.42 [v14: $i] : ? [v15: $i] : ? [v16: $i] : ? [v17: $i] : ? [v18: $i] : ?
% 39.67/6.42 [v19: $i] : ? [v20: $i] : ? [v21: any] : ? [v22: $i] : ? [v23: $i] : ?
% 39.67/6.42 [v24: $i] : ? [v25: $i] : ? [v26: $i] : ? [v27: $i] : ? [v28: any] :
% 39.67/6.42 (cOMBC_481590946t_bool(v4, lab) = v24 & cOMBC_437064334t_bool(v24, lba) = v25
% 39.67/6.42 & cOMBB_317992461e_indi(fequal_nat, h) = v8 &
% 39.67/6.42 cOMBB_317992461e_indi(ord_less_nat, h) = v2 &
% 39.67/6.42 cOMBB_963584201e_indi(if_fun1419651289t_bool, v9) = v10 &
% 39.67/6.42 cOMBB_963584201e_indi(if_fun1419651289t_bool, v3) = v4 &
% 39.67/6.42 cOMBB_69933763e_indi(arrow_812378712_above, p) = v11 &
% 39.67/6.42 cOMBC_493523632t_bool(v11, c) = v12 & cOMBS_102864562t_bool(v10, v13) = v14
% 39.67/6.42 & cOMBS_102864562t_bool(v4, v6) = v7 &
% 39.67/6.42 cOMBB_1292070696e_indi(arrow_78446834_mktop, p) = v5 &
% 39.67/6.42 cOMBB_1292070696e_indi(arrow_2077223396_mkbot, p) = v15 &
% 39.67/6.42 cOMBC_1778077589t_bool(v15, e) = v16 & cOMBC_1778077589t_bool(v12, e) = v13
% 39.67/6.42 & cOMBC_1778077589t_bool(v5, e) = v6 & cOMBS_867867294t_bool(v14, v16) = v17
% 39.67/6.42 & cOMBS_867867294t_bool(v7, v17) = v18 & produc171383831le_alt(e, d) = v0 &
% 39.67/6.42 produc171383831le_alt(b, a) = v22 & hBOOL(v27) = v28 & hBOOL(v20) = v21 &
% 39.67/6.42 member1056080916le_alt(v22) = v23 & member1056080916le_alt(v0) = v1 &
% 39.67/6.42 hAPP_f745298353l_bool(v23, v26) = v27 & hAPP_f745298353l_bool(v1, v19) = v20
% 39.67/6.43 & hAPP_f695124765t_bool(f, v25) = v26 & hAPP_f695124765t_bool(f, v18) = v19
% 39.67/6.43 & cOMBC_277798809t_bool(v8, n) = v9 & cOMBC_277798809t_bool(v2, n) = v3 &
% 39.67/6.43 $i(v27) & $i(v26) & $i(v25) & $i(v24) & $i(v23) & $i(v22) & $i(v20) &
% 39.67/6.43 $i(v19) & $i(v18) & $i(v17) & $i(v16) & $i(v15) & $i(v14) & $i(v13) &
% 39.67/6.43 $i(v12) & $i(v11) & $i(v10) & $i(v9) & $i(v8) & $i(v7) & $i(v6) & $i(v5) &
% 39.67/6.43 $i(v4) & $i(v3) & $i(v2) & $i(v1) & $i(v0) & ((v28 = 0 & v21 = 0) | ( ~ (v28
% 39.67/6.43 = 0) & ~ (v21 = 0))))
% 39.67/6.43
% 39.67/6.43 (function-axioms)
% 40.05/6.46 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 40.05/6.46 (hAPP_A869356733t_bool(v3, v2) = v1) | ~ (hAPP_A869356733t_bool(v3, v2) =
% 40.05/6.46 v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 |
% 40.05/6.46 ~ (hAPP_A1333445289t_bool(v3, v2) = v1) | ~ (hAPP_A1333445289t_bool(v3, v2)
% 40.05/6.46 = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0
% 40.05/6.46 | ~ (hAPP_A460042315t_bool(v3, v2) = v1) | ~ (hAPP_A460042315t_bool(v3,
% 40.05/6.46 v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1
% 40.05/6.46 = v0 | ~ (hAPP_A702630576t_bool(v3, v2) = v1) | ~
% 40.05/6.46 (hAPP_A702630576t_bool(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 40.05/6.46 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_b1915039793t_bool(v3, v2) = v1) | ~
% 40.05/6.46 (hAPP_b1915039793t_bool(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 40.05/6.46 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_f159424297t_bool(v3, v2) = v1) | ~
% 40.05/6.46 (hAPP_f159424297t_bool(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 40.05/6.46 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_A1922697556t_bool(v3, v2) = v1) | ~
% 40.05/6.46 (hAPP_A1922697556t_bool(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 40.05/6.46 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_f2135750719l_bool(v3, v2) = v1) | ~
% 40.05/6.46 (hAPP_f2135750719l_bool(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 40.05/6.46 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_f448497509l_bool(v3, v2) = v1) | ~
% 40.05/6.46 (hAPP_f448497509l_bool(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 40.05/6.46 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_f1697527281l_bool(v3, v2) = v1) | ~
% 40.05/6.46 (hAPP_f1697527281l_bool(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 40.05/6.46 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_f371807573l_bool(v3, v2) = v1) | ~
% 40.05/6.46 (hAPP_f371807573l_bool(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 40.05/6.46 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_f813556705l_bool(v3, v2) = v1) | ~
% 40.05/6.46 (hAPP_f813556705l_bool(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 40.05/6.46 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_f1520552209t_bool(v3, v2) = v1) | ~
% 40.05/6.46 (hAPP_f1520552209t_bool(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 40.05/6.46 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_f1667233577l_bool(v3, v2) = v1) | ~
% 40.05/6.46 (hAPP_f1667233577l_bool(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 40.05/6.46 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_f1903519657i_bool(v3, v2) = v1) | ~
% 40.05/6.46 (hAPP_f1903519657i_bool(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 40.05/6.46 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_f1235573641l_bool(v3, v2) = v1) | ~
% 40.05/6.46 (hAPP_f1235573641l_bool(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 40.05/6.46 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_f1677452273i_bool(v3, v2) = v1) | ~
% 40.05/6.46 (hAPP_f1677452273i_bool(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 40.05/6.46 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_f219827985l_bool(v3, v2) = v1) | ~
% 40.05/6.46 (hAPP_f219827985l_bool(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 40.05/6.46 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_f681113465i_bool(v3, v2) = v1) | ~
% 40.05/6.46 (hAPP_f681113465i_bool(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 40.05/6.46 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_f1970593179i_bool(v3, v2) = v1) | ~
% 40.05/6.46 (hAPP_f1970593179i_bool(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 40.05/6.46 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_f1724001331l_bool(v3, v2) = v1) | ~
% 40.05/6.46 (hAPP_f1724001331l_bool(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 40.05/6.46 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_f1979025587l_bool(v3, v2) = v1) | ~
% 40.05/6.46 (hAPP_f1979025587l_bool(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 40.05/6.46 $i] : ! [v3: $i] : (v1 = v0 | ~ (cOMBC_481590946t_bool(v3, v2) = v1) | ~
% 40.05/6.46 (cOMBC_481590946t_bool(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 40.05/6.46 $i] : ! [v3: $i] : (v1 = v0 | ~ (cOMBC_437064334t_bool(v3, v2) = v1) | ~
% 40.05/6.46 (cOMBC_437064334t_bool(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 40.05/6.46 $i] : ! [v3: $i] : (v1 = v0 | ~ (pi_fun1727820731l_bool(v3, v2) = v1) | ~
% 40.05/6.46 (pi_fun1727820731l_bool(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 40.05/6.46 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_f417299659l_bool(v3, v2) = v1) | ~
% 40.05/6.46 (hAPP_f417299659l_bool(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 40.05/6.46 $i] : ! [v3: $i] : (v1 = v0 | ~ (pi_fun972956463e_indi(v3, v2) = v1) | ~
% 40.05/6.46 (pi_fun972956463e_indi(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 40.05/6.46 $i] : ! [v3: $i] : (v1 = v0 | ~ (pi_fun525942951l_bool(v3, v2) = v1) | ~
% 40.05/6.46 (pi_fun525942951l_bool(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 40.05/6.46 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_f497468491l_bool(v3, v2) = v1) | ~
% 40.05/6.46 (hAPP_f497468491l_bool(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 40.05/6.46 $i] : ! [v3: $i] : (v1 = v0 | ~ (pi_fun2075749915e_indi(v3, v2) = v1) | ~
% 40.05/6.46 (pi_fun2075749915e_indi(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 40.05/6.46 $i] : ! [v3: $i] : (v1 = v0 | ~ (pi_fun1494794527l_bool(v3, v2) = v1) | ~
% 40.05/6.46 (pi_fun1494794527l_bool(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 40.05/6.46 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_f313042899l_bool(v3, v2) = v1) | ~
% 40.05/6.46 (hAPP_f313042899l_bool(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 40.05/6.46 $i] : ! [v3: $i] : (v1 = v0 | ~ (pi_fun1736243859e_indi(v3, v2) = v1) | ~
% 40.05/6.46 (pi_fun1736243859e_indi(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 40.05/6.46 $i] : ! [v3: $i] : (v1 = v0 | ~ (pi_Pro437273841e_indi(v3, v2) = v1) | ~
% 40.05/6.46 (pi_Pro437273841e_indi(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 40.05/6.46 $i] : ! [v3: $i] : (v1 = v0 | ~ (pi_boo2007389459t_bool(v3, v2) = v1) | ~
% 40.05/6.46 (pi_boo2007389459t_bool(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 40.05/6.46 $i] : ! [v3: $i] : (v1 = v0 | ~ (pi_boo71521447t_bool(v3, v2) = v1) | ~
% 40.05/6.46 (pi_boo71521447t_bool(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 40.05/6.46 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_b331122225t_bool(v3, v2) = v1) | ~
% 40.05/6.46 (hAPP_b331122225t_bool(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 40.05/6.46 $i] : ! [v3: $i] : (v1 = v0 | ~ (pi_Arr372473371t_bool(v3, v2) = v1) | ~
% 40.05/6.46 (pi_Arr372473371t_bool(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 40.05/6.46 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_A1062826149t_bool(v3, v2) = v1) | ~
% 40.05/6.46 (hAPP_A1062826149t_bool(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 40.05/6.46 $i] : ! [v3: $i] : (v1 = v0 | ~ (pi_boo691944735t_bool(v3, v2) = v1) | ~
% 40.05/6.46 (pi_boo691944735t_bool(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 40.05/6.46 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_b833696937t_bool(v3, v2) = v1) | ~
% 40.05/6.46 (hAPP_b833696937t_bool(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 40.05/6.46 $i] : ! [v3: $i] : (v1 = v0 | ~ (pi_Arr1511953043t_bool(v3, v2) = v1) | ~
% 40.05/6.46 (pi_Arr1511953043t_bool(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 40.05/6.46 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_A1594182429t_bool(v3, v2) = v1) | ~
% 40.05/6.46 (hAPP_A1594182429t_bool(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 40.05/6.46 $i] : ! [v3: $i] : (v1 = v0 | ~ (pi_boo1877522301le_alt(v3, v2) = v1) | ~
% 40.05/6.46 (pi_boo1877522301le_alt(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 40.05/6.46 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_b1817367815le_alt(v3, v2) = v1) | ~
% 40.05/6.46 (hAPP_b1817367815le_alt(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 40.05/6.46 $i] : ! [v3: $i] : (v1 = v0 | ~ (pi_Arr149813489le_alt(v3, v2) = v1) | ~
% 40.05/6.46 (pi_Arr149813489le_alt(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 40.05/6.46 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_A1736628091le_alt(v3, v2) = v1) | ~
% 40.05/6.46 (hAPP_A1736628091le_alt(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 40.05/6.46 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_P2127852789l_bool(v3, v2) = v1) | ~
% 40.05/6.46 (hAPP_P2127852789l_bool(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 40.05/6.46 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_f1507266205t_bool(v3, v2) = v1) | ~
% 40.05/6.46 (hAPP_f1507266205t_bool(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 40.05/6.46 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_f20355883l_bool(v3, v2) = v1) | ~
% 40.05/6.46 (hAPP_f20355883l_bool(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 40.05/6.46 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_f1710416135l_bool(v3, v2) = v1) | ~
% 40.05/6.46 (hAPP_f1710416135l_bool(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 40.05/6.46 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_b589554111l_bool(v3, v2) = v1) | ~
% 40.05/6.46 (hAPP_b589554111l_bool(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 40.05/6.46 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_f281286919l_bool(v3, v2) = v1) | ~
% 40.05/6.46 (hAPP_f281286919l_bool(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 40.05/6.46 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_f1760255479l_bool(v3, v2) = v1) | ~
% 40.05/6.46 (hAPP_f1760255479l_bool(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 40.05/6.46 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_f1669465919l_bool(v3, v2) = v1) | ~
% 40.05/6.46 (hAPP_f1669465919l_bool(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 40.05/6.46 $i] : ! [v3: $i] : (v1 = v0 | ~ (cOMBB_317992461e_indi(v3, v2) = v1) | ~
% 40.05/6.46 (cOMBB_317992461e_indi(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 40.05/6.46 $i] : ! [v3: $i] : (v1 = v0 | ~ (cOMBB_963584201e_indi(v3, v2) = v1) | ~
% 40.05/6.46 (cOMBB_963584201e_indi(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 40.05/6.46 $i] : ! [v3: $i] : (v1 = v0 | ~ (cOMBB_69933763e_indi(v3, v2) = v1) | ~
% 40.05/6.46 (cOMBB_69933763e_indi(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 40.05/6.46 $i] : ! [v3: $i] : (v1 = v0 | ~ (cOMBC_493523632t_bool(v3, v2) = v1) | ~
% 40.05/6.46 (cOMBC_493523632t_bool(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 40.05/6.46 $i] : ! [v3: $i] : (v1 = v0 | ~ (cOMBS_102864562t_bool(v3, v2) = v1) | ~
% 40.05/6.46 (cOMBS_102864562t_bool(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 40.05/6.46 $i] : ! [v3: $i] : (v1 = v0 | ~ (cOMBB_1292070696e_indi(v3, v2) = v1) | ~
% 40.05/6.46 (cOMBB_1292070696e_indi(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 40.05/6.46 $i] : ! [v3: $i] : (v1 = v0 | ~ (cOMBC_1778077589t_bool(v3, v2) = v1) | ~
% 40.05/6.46 (cOMBC_1778077589t_bool(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 40.05/6.46 $i] : ! [v3: $i] : (v1 = v0 | ~ (cOMBS_867867294t_bool(v3, v2) = v1) | ~
% 40.05/6.46 (cOMBS_867867294t_bool(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 40.05/6.46 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_A588601142di_nat(v3, v2) = v1) | ~
% 40.05/6.46 (hAPP_A588601142di_nat(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 40.05/6.46 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_n1699378549t_bool(v3, v2) = v1) | ~
% 40.05/6.46 (hAPP_n1699378549t_bool(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 40.05/6.46 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_f1336478923t_bool(v3, v2) = v1) | ~
% 40.05/6.46 (hAPP_f1336478923t_bool(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 40.05/6.46 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_A384644407t_bool(v3, v2) = v1) | ~
% 40.05/6.46 (hAPP_A384644407t_bool(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 40.05/6.46 $i] : ! [v3: $i] : (v1 = v0 | ~ (produc171383831le_alt(v3, v2) = v1) | ~
% 40.05/6.46 (produc171383831le_alt(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 40.05/6.46 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_f1290184496t_bool(v3, v2) = v1) | ~
% 40.05/6.46 (hAPP_f1290184496t_bool(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 40.05/6.46 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_P907763049i_bool(v3, v2) = v1) | ~
% 40.05/6.46 (hAPP_P907763049i_bool(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 40.05/6.46 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_P2075002375t_bool(v3, v2) = v1) | ~
% 40.05/6.46 (hAPP_P2075002375t_bool(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 40.05/6.46 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_P2024088443e_indi(v3, v2) = v1) | ~
% 40.05/6.46 (hAPP_P2024088443e_indi(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 40.05/6.46 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_f1673487381t_bool(v3, v2) = v1) | ~
% 40.05/6.46 (hAPP_f1673487381t_bool(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 40.05/6.46 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_f2056167603l_bool(v3, v2) = v1) | ~
% 40.05/6.46 (hAPP_f2056167603l_bool(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 40.05/6.46 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_f352490559i_bool(v3, v2) = v1) | ~
% 40.05/6.46 (hAPP_f352490559i_bool(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 40.05/6.46 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_f745298353l_bool(v3, v2) = v1) | ~
% 40.05/6.46 (hAPP_f745298353l_bool(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 40.05/6.46 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_f1659504677e_indi(v3, v2) = v1) | ~
% 40.05/6.46 (hAPP_f1659504677e_indi(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 40.05/6.46 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_f503012287l_bool(v3, v2) = v1) | ~
% 40.05/6.46 (hAPP_f503012287l_bool(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 40.05/6.46 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_f460310451l_bool(v3, v2) = v1) | ~
% 40.05/6.46 (hAPP_f460310451l_bool(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 40.05/6.46 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_f526292585l_bool(v3, v2) = v1) | ~
% 40.05/6.46 (hAPP_f526292585l_bool(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 40.05/6.46 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_f592909149l_bool(v3, v2) = v1) | ~
% 40.05/6.46 (hAPP_f592909149l_bool(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 40.05/6.46 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_f1279200745l_bool(v3, v2) = v1) | ~
% 40.05/6.46 (hAPP_f1279200745l_bool(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 40.05/6.46 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_f1766869725l_bool(v3, v2) = v1) | ~
% 40.05/6.46 (hAPP_f1766869725l_bool(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 40.05/6.46 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_f213304539l_bool(v3, v2) = v1) | ~
% 40.05/6.46 (hAPP_f213304539l_bool(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 40.05/6.46 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_f500145249l_bool(v3, v2) = v1) | ~
% 40.05/6.46 (hAPP_f500145249l_bool(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 40.05/6.46 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_f234874197l_bool(v3, v2) = v1) | ~
% 40.05/6.46 (hAPP_f234874197l_bool(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 40.05/6.46 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_f1895985727l_bool(v3, v2) = v1) | ~
% 40.05/6.46 (hAPP_f1895985727l_bool(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 40.05/6.46 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_f1550037191l_bool(v3, v2) = v1) | ~
% 40.05/6.46 (hAPP_f1550037191l_bool(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 40.05/6.46 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_f1271180905l_bool(v3, v2) = v1) | ~
% 40.05/6.46 (hAPP_f1271180905l_bool(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 40.05/6.46 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_f1018082273l_bool(v3, v2) = v1) | ~
% 40.05/6.46 (hAPP_f1018082273l_bool(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 40.05/6.46 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_f483434675l_bool(v3, v2) = v1) | ~
% 40.05/6.46 (hAPP_f483434675l_bool(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 40.05/6.46 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_f355113919i_bool(v3, v2) = v1) | ~
% 40.05/6.46 (hAPP_f355113919i_bool(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 40.05/6.46 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_f785543729l_bool(v3, v2) = v1) | ~
% 40.05/6.46 (hAPP_f785543729l_bool(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 40.05/6.46 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_f618619045e_indi(v3, v2) = v1) | ~
% 40.05/6.46 (hAPP_f618619045e_indi(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 40.05/6.46 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_f453661011l_bool(v3, v2) = v1) | ~
% 40.05/6.46 (hAPP_f453661011l_bool(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 40.05/6.46 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_f1012384989l_bool(v3, v2) = v1) | ~
% 40.05/6.46 (hAPP_f1012384989l_bool(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 40.05/6.46 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_f204273237l_bool(v3, v2) = v1) | ~
% 40.05/6.46 (hAPP_f204273237l_bool(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 40.05/6.46 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_f387058535l_bool(v3, v2) = v1) | ~
% 40.05/6.46 (hAPP_f387058535l_bool(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 40.05/6.46 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_f695124765t_bool(v3, v2) = v1) | ~
% 40.05/6.46 (hAPP_f695124765t_bool(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 40.05/6.46 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_f861484971l_bool(v3, v2) = v1) | ~
% 40.05/6.46 (hAPP_f861484971l_bool(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 40.05/6.46 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_f749892423i_bool(v3, v2) = v1) | ~
% 40.05/6.46 (hAPP_f749892423i_bool(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 40.05/6.46 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_f1636546729l_bool(v3, v2) = v1) | ~
% 40.05/6.46 (hAPP_f1636546729l_bool(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 40.05/6.46 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_f1818473245e_indi(v3, v2) = v1) | ~
% 40.05/6.46 (hAPP_f1818473245e_indi(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 40.05/6.46 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_f919661787l_bool(v3, v2) = v1) | ~
% 40.05/6.46 (hAPP_f919661787l_bool(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 40.05/6.46 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_nat_bool(v3, v2) = v1) | ~
% 40.05/6.46 (hAPP_nat_bool(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : !
% 40.05/6.46 [v3: $i] : (v1 = v0 | ~ (hAPP_n385347014e_indi(v3, v2) = v1) | ~
% 40.05/6.46 (hAPP_n385347014e_indi(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 40.05/6.46 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_b1024867081t_bool(v3, v2) = v1) | ~
% 40.05/6.46 (hAPP_b1024867081t_bool(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 40.05/6.46 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_b1965422783l_bool(v3, v2) = v1) | ~
% 40.05/6.46 (hAPP_b1965422783l_bool(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 40.05/6.46 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_b990649139l_bool(v3, v2) = v1) | ~
% 40.05/6.46 (hAPP_b990649139l_bool(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 40.05/6.46 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_b1719629739l_bool(v3, v2) = v1) | ~
% 40.05/6.46 (hAPP_b1719629739l_bool(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 40.05/6.46 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_b1018211123i_bool(v3, v2) = v1) | ~
% 40.05/6.46 (hAPP_b1018211123i_bool(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 40.05/6.46 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_bool_bool(v3, v2) = v1) | ~
% 40.05/6.46 (hAPP_bool_bool(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] :
% 40.05/6.46 ! [v3: $i] : (v1 = v0 | ~ (hAPP_A1374816149t_bool(v3, v2) = v1) | ~
% 40.05/6.46 (hAPP_A1374816149t_bool(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 40.05/6.46 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_A1944296755l_bool(v3, v2) = v1) | ~
% 40.05/6.46 (hAPP_A1944296755l_bool(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 40.05/6.46 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_A1964572607l_bool(v3, v2) = v1) | ~
% 40.05/6.46 (hAPP_A1964572607l_bool(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 40.05/6.46 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_A1912483895l_bool(v3, v2) = v1) | ~
% 40.05/6.46 (hAPP_A1912483895l_bool(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 40.05/6.46 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_A1466488369i_bool(v3, v2) = v1) | ~
% 40.05/6.46 (hAPP_A1466488369i_bool(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 40.05/6.46 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_A619995676t_bool(v3, v2) = v1) | ~
% 40.05/6.46 (hAPP_A619995676t_bool(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 40.05/6.46 $i] : ! [v3: $i] : (v1 = v0 | ~ (hilber1792103167di_nat(v3, v2) = v1) | ~
% 40.05/6.46 (hilber1792103167di_nat(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 40.05/6.46 $i] : ! [v3: $i] : (v1 = v0 | ~ (product_prod(v3, v2) = v1) | ~
% 40.05/6.46 (product_prod(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : !
% 40.05/6.46 [v3: $i] : (v1 = v0 | ~ (fun(v3, v2) = v1) | ~ (fun(v3, v2) = v0)) & ! [v0:
% 40.05/6.46 $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 40.05/6.46 (pi_Pro2135156861t_bool(v3, v2) = v1) | ~ (pi_Pro2135156861t_bool(v3, v2) =
% 40.05/6.46 v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 |
% 40.05/6.46 ~ (pi_fun433100839t_bool(v3, v2) = v1) | ~ (pi_fun433100839t_bool(v3, v2) =
% 40.05/6.46 v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 |
% 40.05/6.46 ~ (pi_Arr688267935t_bool(v3, v2) = v1) | ~ (pi_Arr688267935t_bool(v3, v2) =
% 40.05/6.46 v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 |
% 40.05/6.46 ~ (inj_on24934938di_nat(v3, v2) = v1) | ~ (inj_on24934938di_nat(v3, v2) =
% 40.05/6.46 v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 |
% 40.05/6.46 ~ (cOMBC_277798809t_bool(v3, v2) = v1) | ~ (cOMBC_277798809t_bool(v3, v2) =
% 40.05/6.46 v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~
% 40.05/6.46 (member1033316428l_bool(v2) = v1) | ~ (member1033316428l_bool(v2) = v0)) &
% 40.05/6.46 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~
% 40.05/6.46 (member329987264e_indi(v2) = v1) | ~ (member329987264e_indi(v2) = v0)) & !
% 40.05/6.46 [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~
% 40.05/6.46 (member387398118l_bool(v2) = v1) | ~ (member387398118l_bool(v2) = v0)) & !
% 40.05/6.46 [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~
% 40.05/6.46 (member1122398042e_indi(v2) = v1) | ~ (member1122398042e_indi(v2) = v0)) &
% 40.05/6.46 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~
% 40.05/6.46 (member1661336414l_bool(v2) = v1) | ~ (member1661336414l_bool(v2) = v0)) &
% 40.05/6.46 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~
% 40.05/6.46 (member1105181906e_indi(v2) = v1) | ~ (member1105181906e_indi(v2) = v0)) &
% 40.05/6.46 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~
% 40.05/6.46 (member765089840e_indi(v2) = v1) | ~ (member765089840e_indi(v2) = v0)) & !
% 40.05/6.46 [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~
% 40.05/6.46 (member497701034t_bool(v2) = v1) | ~ (member497701034t_bool(v2) = v0)) & !
% 40.05/6.46 [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~
% 40.05/6.46 (member2081512038t_bool(v2) = v1) | ~ (member2081512038t_bool(v2) = v0)) &
% 40.05/6.46 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~
% 40.05/6.46 (member1467476314t_bool(v2) = v1) | ~ (member1467476314t_bool(v2) = v0)) &
% 40.05/6.46 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~
% 40.05/6.46 (member1911067358t_bool(v2) = v1) | ~ (member1911067358t_bool(v2) = v0)) &
% 40.05/6.46 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~
% 40.05/6.46 (member1833291218t_bool(v2) = v1) | ~ (member1833291218t_bool(v2) = v0)) &
% 40.05/6.46 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~
% 40.05/6.46 (member42699324le_alt(v2) = v1) | ~ (member42699324le_alt(v2) = v0)) & !
% 40.05/6.46 [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~
% 40.05/6.46 (member859582768le_alt(v2) = v1) | ~ (member859582768le_alt(v2) = v0)) & !
% 40.05/6.46 [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~
% 40.05/6.46 (member1965683644t_bool(v2) = v1) | ~ (member1965683644t_bool(v2) = v0)) &
% 40.05/6.46 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~
% 40.05/6.46 (member1622429502t_bool(v2) = v1) | ~ (member1622429502t_bool(v2) = v0)) &
% 40.05/6.46 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~
% 40.05/6.46 (member2074804542e_indi(v2) = v1) | ~ (member2074804542e_indi(v2) = v0)) &
% 40.05/6.46 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (member_bool(v2) = v1)
% 40.05/6.46 | ~ (member_bool(v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1
% 40.05/6.46 = v0 | ~ (finite120254591e_indi(v2) = v1) | ~ (finite120254591e_indi(v2) =
% 40.05/6.46 v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~
% 40.05/6.46 (member1277417654t_bool(v2) = v1) | ~ (member1277417654t_bool(v2) = v0)) &
% 40.05/6.46 ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : (v1 =
% 40.05/6.46 v0 | ~ (hBOOL(v2) = v1) | ~ (hBOOL(v2) = v0)) & ! [v0: $i] : ! [v1: $i]
% 40.05/6.46 : ! [v2: $i] : (v1 = v0 | ~ (member1056080916le_alt(v2) = v1) | ~
% 40.05/6.46 (member1056080916le_alt(v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i]
% 40.05/6.46 : (v1 = v0 | ~ (collec1711870802le_alt(v2) = v1) | ~
% 40.05/6.46 (collec1711870802le_alt(v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i]
% 40.05/6.46 : (v1 = v0 | ~ (collec874260222t_bool(v2) = v1) | ~
% 40.05/6.46 (collec874260222t_bool(v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i]
% 40.05/6.46 : (v1 = v0 | ~ (collec1520786044t_bool(v2) = v1) | ~
% 40.05/6.46 (collec1520786044t_bool(v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i]
% 40.05/6.46 : (v1 = v0 | ~ (collec1580242420t_bool(v2) = v1) | ~
% 40.05/6.46 (collec1580242420t_bool(v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i]
% 40.05/6.46 : (v1 = v0 | ~ (collec45183100e_indi(v2) = v1) | ~ (collec45183100e_indi(v2)
% 40.05/6.46 = v0)) & ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2:
% 40.05/6.46 $i] : (v1 = v0 | ~ (is_fun1016509681e_indi(v2) = v1) | ~
% 40.05/6.46 (is_fun1016509681e_indi(v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i]
% 40.05/6.46 : (v1 = v0 | ~ (undefi802509179t_bool(v2) = v1) | ~
% 40.05/6.46 (undefi802509179t_bool(v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i]
% 40.05/6.46 : (v1 = v0 | ~ (undefi818645567e_indi(v2) = v1) | ~
% 40.05/6.46 (undefi818645567e_indi(v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1:
% 40.05/6.46 MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~ (is_Arr625519182e_indi(v2)
% 40.05/6.46 = v1) | ~ (is_Arr625519182e_indi(v2) = v0)) & ! [v0: $i] : ! [v1: $i] :
% 40.05/6.46 ! [v2: $i] : (v1 = v0 | ~ (undefi1301554228le_alt(v2) = v1) | ~
% 40.05/6.46 (undefi1301554228le_alt(v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1:
% 40.05/6.46 MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~ (is_Arr553848933le_alt(v2)
% 40.05/6.46 = v1) | ~ (is_Arr553848933le_alt(v2) = v0)) & ! [v0: MultipleValueBool]
% 40.05/6.46 : ! [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~
% 40.05/6.46 (is_fun282293932t_bool(v2) = v1) | ~ (is_fun282293932t_bool(v2) = v0)) & !
% 40.05/6.46 [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0
% 40.05/6.46 | ~ (is_bool(v2) = v1) | ~ (is_bool(v2) = v0)) & ! [v0:
% 40.05/6.46 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 |
% 40.05/6.46 ~ (is_fun917378774i_bool(v2) = v1) | ~ (is_fun917378774i_bool(v2) = v0)) &
% 40.05/6.46 ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : (v1 =
% 40.05/6.46 v0 | ~ (is_fun959573582l_bool(v2) = v1) | ~ (is_fun959573582l_bool(v2) =
% 40.05/6.46 v0)) & ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2:
% 40.05/6.46 $i] : (v1 = v0 | ~ (is_fun432044380l_bool(v2) = v1) | ~
% 40.05/6.46 (is_fun432044380l_bool(v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1:
% 40.05/6.46 MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~ (is_fun631676118l_bool(v2)
% 40.05/6.46 = v1) | ~ (is_fun631676118l_bool(v2) = v0))
% 40.05/6.46
% 40.05/6.46 Further assumptions not needed in the proof:
% 40.05/6.46 --------------------------------------------
% 40.05/6.47 fact_0_assms_I3_J, fact_100_less__top, fact_101_less__top, fact_102_less__top,
% 40.05/6.47 fact_103_inv__f__eq, fact_104_inv__f__f, fact_105_inv__into__f__f,
% 40.05/6.47 fact_106_inv__into__f__eq, fact_107_inj__eq, fact_108_inj__on__def,
% 40.05/6.47 fact_109_inj__on__contraD, fact_10__C3_C, fact_110_inj__on__iff,
% 40.05/6.47 fact_111_inj__onD, fact_112_injD, fact_113_inj__imp__inv__eq, fact_114_injI,
% 40.05/6.47 fact_115_assms_I1_J, fact_116__096Lba_A_058_ALin_096,
% 40.05/6.47 fact_117__096Lab_A_058_ALin_096, fact_118_Lin__irrefl, fact_119_notin__Lin__iff,
% 40.05/6.47 fact_120_mem__def, fact_121_mem__def, fact_122_mem__def, fact_123_mem__def,
% 40.05/6.47 fact_124_mem__def, fact_125_mem__def, fact_126_Collect__def,
% 40.05/6.47 fact_127_mktop__Lin, fact_128_mkbot__Lin, fact_129_above__Lin,
% 40.05/6.47 fact_130_const__Lin__Prof, fact_131_in__above, fact_132_dictatorI, fact_133_PiE,
% 40.05/6.47 fact_134_PiE, fact_135_PiE, fact_136_PiE, fact_137_PiE, fact_138_PiE,
% 40.05/6.47 fact_139_PiE, fact_140_PiE, fact_141_PiE, fact_142_PiE, fact_143_PiE,
% 40.05/6.47 fact_144_PiE, fact_145_PiE, fact_146_PiE, fact_147_PiE, fact_148_PiE,
% 40.05/6.47 fact_149_PiE, fact_150_complete__Lin, fact_152_Pi__mem, fact_153_Pi__mem,
% 40.05/6.47 fact_154_Pi__mem, fact_155_Pi__mem, fact_156_Pi__mem, fact_157_Pi__mem,
% 40.05/6.47 fact_158_Pi__mem, fact_159_Pi__mem, fact_15_split__paired__All,
% 40.05/6.47 fact_160_Pi__mem, fact_161_Pi__mem, fact_162_Pi__mem, fact_163_Pi__mem,
% 40.05/6.47 fact_164_Pi__mem, fact_165_Pi__mem, fact_166_Pi__mem, fact_167_Pi__mem,
% 40.05/6.47 fact_168_Pi__mem, fact_169_Prof__def, fact_170_funcset__mem,
% 40.05/6.47 fact_171_funcset__mem, fact_172_funcset__mem, fact_173_funcset__mem,
% 40.05/6.47 fact_174_funcset__mem, fact_175_funcset__mem, fact_176_funcset__mem,
% 40.05/6.47 fact_177_funcset__mem, fact_178_funcset__mem, fact_179_funcset__mem,
% 40.05/6.47 fact_180_funcset__mem, fact_181_funcset__mem, fact_182_funcset__mem,
% 40.05/6.47 fact_183_funcset__mem, fact_184_funcset__mem, fact_185_funcset__mem,
% 40.05/6.47 fact_186_funcset__mem, fact_187_dictator__def, fact_188_Pi__UNIV,
% 40.05/6.47 fact_189_Pi__UNIV, fact_190_Pi__UNIV,
% 40.05/6.47 fact_192__096ALL_Ai_O_A_Ie_A_060_092_060_094bsub_062_Iif_Ah_Ai_A_060_An_Athen_Am,
% 40.05/6.47 fact_193__096a_A_126_061_Ab_096,
% 40.05/6.47 fact_194__096b_A_060_092_060_094bsub_062Lba_092_060_094esub_062_Aa_096,
% 40.05/6.47 fact_195__096a_A_060_092_060_094bsub_062Lab_092_060_094esub_062_Ab_096,
% 40.05/6.47 fact_196__096_Ia_M_Ab_J_A_126_058_ALba_096,
% 40.05/6.47 fact_197__096_Ib_M_Aa_J_A_126_058_ALab_096, fact_19_n_I1_J, fact_1_u,
% 40.05/6.47 fact_20_injh, fact_21_Pair__inject, fact_22_Pair__eq, fact_23_IIA__def,
% 40.05/6.47 fact_24_unanimity__def, fact_25_top1I, fact_26_top1I, fact_27_top1I,
% 40.05/6.47 fact_28_top1I, fact_29_top1I, fact_2__096c_A_126_061_Ad_096, fact_30_UNIV__I,
% 40.05/6.47 fact_31_UNIV__I, fact_32_UNIV__I, fact_33_UNIV__I, fact_34_UNIV__I,
% 40.05/6.47 fact_35_UNIV__I, fact_36_iso__tuple__UNIV__I, fact_37_iso__tuple__UNIV__I,
% 40.05/6.47 fact_38_iso__tuple__UNIV__I, fact_39_iso__tuple__UNIV__I,
% 40.05/6.47 fact_3__096P_A_058_AProf_096, fact_40_iso__tuple__UNIV__I,
% 40.05/6.47 fact_41_iso__tuple__UNIV__I, fact_42_top__apply, fact_43_top__apply,
% 40.05/6.47 fact_44_top__apply, fact_45_top__apply, fact_46_top__apply,
% 40.05/6.47 fact_47_not__top__less, fact_48_not__top__less, fact_49_not__top__less,
% 40.05/6.47 fact_4_in__mkbot, fact_50_not__top__less, fact_51_not__top__less,
% 40.05/6.47 fact_52_not__top__less, fact_53_linorder__cases, fact_54_order__less__asym,
% 40.05/6.47 fact_55_order__less__asym, fact_56_xt1_I10_J, fact_57_xt1_I10_J,
% 40.05/6.47 fact_58_order__less__trans, fact_59_order__less__trans, fact_5_in__mktop,
% 40.05/6.47 fact_60_xt1_I2_J, fact_61_xt1_I2_J, fact_62_ord__less__eq__trans,
% 40.05/6.47 fact_63_ord__less__eq__trans, fact_64_xt1_I1_J, fact_65_xt1_I1_J,
% 40.05/6.47 fact_66_ord__eq__less__trans, fact_67_ord__eq__less__trans, fact_68_xt1_I9_J,
% 40.05/6.47 fact_69_xt1_I9_J, fact_6__C2_C, fact_70_order__less__asym_H,
% 40.05/6.47 fact_71_order__less__asym_H, fact_72_order__less__imp__triv,
% 40.05/6.47 fact_73_order__less__imp__triv, fact_74_order__less__imp__not__eq2,
% 40.05/6.47 fact_75_order__less__imp__not__eq2, fact_76_order__less__imp__not__eq,
% 40.05/6.47 fact_77_order__less__imp__not__eq, fact_78_order__less__imp__not__less,
% 40.05/6.47 fact_79_order__less__imp__not__less, fact_7__C1_C,
% 40.05/6.47 fact_80_order__less__not__sym, fact_81_order__less__not__sym,
% 40.05/6.47 fact_82_less__imp__neq, fact_83_less__imp__neq, fact_84_linorder__neqE,
% 40.05/6.47 fact_85_linorder__antisym__conv3, fact_86_linorder__less__linear,
% 40.05/6.47 fact_87_not__less__iff__gr__or__eq, fact_88_linorder__neq__iff,
% 40.05/6.47 fact_89_order__less__irrefl, fact_8__C4_C, fact_90_order__less__irrefl,
% 40.05/6.47 fact_91_UNIV__def, fact_92_UNIV__def, fact_93_UNIV__def, fact_94_UNIV__def,
% 40.05/6.47 fact_95_UNIV__def, fact_96_pred__equals__eq2, fact_97_less__top,
% 40.05/6.47 fact_98_less__top, fact_99_less__top, fact_9_pairwise__neutrality,
% 40.05/6.47 gsy_c_Arrow__Order__Mirabelle__fjewxadnqg_OIIA,
% 40.05/6.47 gsy_c_Arrow__Order__Mirabelle__fjewxadnqg_OLin,
% 40.05/6.47 gsy_c_Arrow__Order__Mirabelle__fjewxadnqg_OProf,
% 40.05/6.47 gsy_c_Arrow__Order__Mirabelle__fjewxadnqg_Ounanimity,
% 40.05/6.47 gsy_c_COMBC_000tc__Arrow____Order____Mirabelle____fjewxadnqg__Oindi_000tc__Nat__,
% 40.05/6.47 gsy_c_Fun_Oinj__on_000tc__Arrow____Order____Mirabelle____fjewxadnqg__Oindi_000tc,
% 40.05/6.47 gsy_c_FuncSet_OPi_000tc__Arrow____Order____Mirabelle____fjewxadnqg__Oindi_000tc_,
% 40.05/6.47 gsy_c_FuncSet_OPi_000tc__fun_Itc__Arrow____Order____Mirabelle____fjewxadnqg__Oin,
% 40.05/6.47 gsy_c_FuncSet_OPi_000tc__prod_Itc__Arrow____Order____Mirabelle____fjewxadnqg__Oa,
% 40.05/6.47 gsy_c_HOL_Oundefined_000tc__Arrow____Order____Mirabelle____fjewxadnqg__Oalt,
% 40.05/6.47 gsy_c_HOL_Oundefined_000tc__Arrow____Order____Mirabelle____fjewxadnqg__Oindi,
% 40.05/6.47 gsy_c_HOL_Oundefined_000tc__fun_Itc__prod_Itc__Arrow____Order____Mirabelle____fj,
% 40.05/6.47 gsy_c_Hilbert__Choice_Oinv__into_000tc__Arrow____Order____Mirabelle____fjewxadnq,
% 40.05/6.47 gsy_c_Orderings_Otop__class_Otop_000tc__HOL__Obool,
% 40.05/6.47 gsy_c_Orderings_Otop__class_Otop_000tc__fun_Itc__Arrow____Order____Mirabelle____,
% 40.05/6.47 gsy_c_Orderings_Otop__class_Otop_000tc__fun_Itc__fun_Itc__Arrow____Order____Mira,
% 40.05/6.47 gsy_c_Orderings_Otop__class_Otop_000tc__fun_Itc__fun_Itc__fun_Itc__Arrow____Orde,
% 40.05/6.47 gsy_c_Orderings_Otop__class_Otop_000tc__fun_Itc__fun_Itc__prod_Itc__Arrow____Ord,
% 40.05/6.47 gsy_c_Orderings_Otop__class_Otop_000tc__fun_Itc__prod_Itc__Arrow____Order____Mir,
% 40.05/6.47 gsy_c_Set_OCollect_000tc__Arrow____Order____Mirabelle____fjewxadnqg__Oindi,
% 40.05/6.47 gsy_c_Set_OCollect_000tc__fun_Itc__Arrow____Order____Mirabelle____fjewxadnqg__Oi,
% 40.05/6.47 gsy_c_Set_OCollect_000tc__fun_Itc__fun_Itc__Arrow____Order____Mirabelle____fjewx,
% 40.05/6.47 gsy_c_Set_OCollect_000tc__fun_Itc__prod_Itc__Arrow____Order____Mirabelle____fjew,
% 40.05/6.47 gsy_c_Set_OCollect_000tc__prod_Itc__Arrow____Order____Mirabelle____fjewxadnqg__O,
% 40.05/6.47 gsy_c_fFalse, gsy_c_fTrue,
% 40.05/6.47 gsy_c_hAPP_000tc__Arrow____Order____Mirabelle____fjewxadnqg__Oalt_000tc__fun_Itc,
% 40.05/6.47 gsy_c_hAPP_000tc__Arrow____Order____Mirabelle____fjewxadnqg__Oindi_000tc__HOL__O,
% 40.05/6.47 gsy_c_hAPP_000tc__Arrow____Order____Mirabelle____fjewxadnqg__Oindi_000tc__fun_It,
% 40.05/6.47 gsy_c_hAPP_000tc__Arrow____Order____Mirabelle____fjewxadnqg__Oindi_000tc__fun_It_001,
% 40.05/6.47 gsy_c_hAPP_000tc__Arrow____Order____Mirabelle____fjewxadnqg__Oindi_000tc__fun_It_002,
% 40.05/6.47 gsy_c_hAPP_000tc__Arrow____Order____Mirabelle____fjewxadnqg__Oindi_000tc__fun_It_003,
% 40.05/6.47 gsy_c_hAPP_000tc__HOL__Obool_000tc__HOL__Obool,
% 40.05/6.47 gsy_c_hAPP_000tc__HOL__Obool_000tc__fun_Itc__Arrow____Order____Mirabelle____fjew,
% 40.05/6.47 gsy_c_hAPP_000tc__HOL__Obool_000tc__fun_Itc__fun_Itc__Arrow____Order____Mirabell,
% 40.05/6.47 gsy_c_hAPP_000tc__HOL__Obool_000tc__fun_Itc__fun_Itc__fun_Itc__Arrow____Order___,
% 40.05/6.47 gsy_c_hAPP_000tc__HOL__Obool_000tc__fun_Itc__fun_Itc__prod_Itc__Arrow____Order__,
% 40.05/6.47 gsy_c_hAPP_000tc__HOL__Obool_000tc__fun_Itc__prod_Itc__Arrow____Order____Mirabel,
% 40.05/6.47 gsy_c_hAPP_000tc__Nat__Onat_000tc__Arrow____Order____Mirabelle____fjewxadnqg__Oi,
% 40.05/6.47 gsy_c_hAPP_000tc__Nat__Onat_000tc__HOL__Obool,
% 40.05/6.47 gsy_c_hAPP_000tc__fun_Itc__Arrow____Order____Mirabelle____fjewxadnqg__Oindi_Mtc_,
% 40.05/6.47 gsy_c_hAPP_000tc__fun_Itc__Arrow____Order____Mirabelle____fjewxadnqg__Oindi_Mtc__004,
% 40.05/6.47 gsy_c_hAPP_000tc__fun_Itc__Arrow____Order____Mirabelle____fjewxadnqg__Oindi_Mtc__005,
% 40.05/6.47 gsy_c_hAPP_000tc__fun_Itc__Arrow____Order____Mirabelle____fjewxadnqg__Oindi_Mtc__006,
% 40.05/6.47 gsy_c_hAPP_000tc__fun_Itc__Arrow____Order____Mirabelle____fjewxadnqg__Oindi_Mtc__007,
% 40.05/6.47 gsy_c_hAPP_000tc__fun_Itc__Arrow____Order____Mirabelle____fjewxadnqg__Oindi_Mtc__008,
% 40.05/6.47 gsy_c_hAPP_000tc__fun_Itc__HOL__Obool_Mtc__HOL__Obool_J_000tc__HOL__Obool,
% 40.05/6.47 gsy_c_hAPP_000tc__fun_Itc__fun_Itc__Arrow____Order____Mirabelle____fjewxadnqg__O,
% 40.05/6.47 gsy_c_hAPP_000tc__fun_Itc__fun_Itc__Arrow____Order____Mirabelle____fjewxadnqg__O_009,
% 40.05/6.47 gsy_c_hAPP_000tc__fun_Itc__fun_Itc__Arrow____Order____Mirabelle____fjewxadnqg__O_010,
% 40.05/6.47 gsy_c_hAPP_000tc__fun_Itc__fun_Itc__Arrow____Order____Mirabelle____fjewxadnqg__O_011,
% 40.05/6.47 gsy_c_hAPP_000tc__fun_Itc__fun_Itc__Arrow____Order____Mirabelle____fjewxadnqg__O_012,
% 40.05/6.47 gsy_c_hAPP_000tc__fun_Itc__fun_Itc__Arrow____Order____Mirabelle____fjewxadnqg__O_013,
% 40.05/6.47 gsy_c_hAPP_000tc__fun_Itc__fun_Itc__Arrow____Order____Mirabelle____fjewxadnqg__O_014,
% 40.05/6.47 gsy_c_hAPP_000tc__fun_Itc__fun_Itc__HOL__Obool_Mtc__fun_Itc__Arrow____Order____M,
% 40.05/6.47 gsy_c_hAPP_000tc__fun_Itc__fun_Itc__HOL__Obool_Mtc__fun_Itc__fun_Itc__Arrow____O,
% 40.05/6.47 gsy_c_hAPP_000tc__fun_Itc__fun_Itc__HOL__Obool_Mtc__fun_Itc__prod_Itc__Arrow____,
% 40.05/6.47 gsy_c_hAPP_000tc__fun_Itc__fun_Itc__HOL__Obool_Mtc__prod_Itc__Arrow____Order____,
% 40.05/6.47 gsy_c_hAPP_000tc__fun_Itc__fun_Itc__fun_Itc__Arrow____Order____Mirabelle____fjew,
% 40.05/6.47 gsy_c_hAPP_000tc__fun_Itc__fun_Itc__fun_Itc__Arrow____Order____Mirabelle____fjew_015,
% 40.05/6.47 gsy_c_hAPP_000tc__fun_Itc__fun_Itc__fun_Itc__Arrow____Order____Mirabelle____fjew_016,
% 40.05/6.47 gsy_c_hAPP_000tc__fun_Itc__fun_Itc__fun_Itc__fun_Itc__Arrow____Order____Mirabell,
% 40.05/6.47 gsy_c_hAPP_000tc__fun_Itc__fun_Itc__fun_Itc__fun_Itc__Arrow____Order____Mirabell_017,
% 40.05/6.47 gsy_c_hAPP_000tc__fun_Itc__fun_Itc__fun_Itc__prod_Itc__Arrow____Order____Mirabel,
% 40.05/6.47 gsy_c_hAPP_000tc__fun_Itc__fun_Itc__fun_Itc__prod_Itc__Arrow____Order____Mirabel_018,
% 40.05/6.47 gsy_c_hAPP_000tc__fun_Itc__fun_Itc__prod_Itc__Arrow____Order____Mirabelle____fje,
% 40.05/6.47 gsy_c_hAPP_000tc__fun_Itc__fun_Itc__prod_Itc__Arrow____Order____Mirabelle____fje_019,
% 40.05/6.47 gsy_c_hAPP_000tc__fun_Itc__prod_Itc__Arrow____Order____Mirabelle____fjewxadnqg__,
% 40.05/6.47 gsy_c_hAPP_000tc__fun_Itc__prod_Itc__Arrow____Order____Mirabelle____fjewxadnqg___020,
% 40.05/6.47 gsy_c_hAPP_000tc__fun_Itc__prod_Itc__Arrow____Order____Mirabelle____fjewxadnqg___021,
% 40.05/6.47 gsy_c_hAPP_000tc__fun_Itc__prod_Itc__Arrow____Order____Mirabelle____fjewxadnqg___022,
% 40.05/6.47 gsy_c_hAPP_000tc__fun_Itc__prod_Itc__Arrow____Order____Mirabelle____fjewxadnqg___023,
% 40.05/6.47 gsy_c_hAPP_000tc__prod_Itc__Arrow____Order____Mirabelle____fjewxadnqg__Oalt_Mtc_,
% 40.05/6.47 gsy_c_hAPP_000tc__prod_Itc__Arrow____Order____Mirabelle____fjewxadnqg__Oalt_Mtc__024,
% 40.05/6.47 gsy_c_hAPP_000tc__prod_Itc__Arrow____Order____Mirabelle____fjewxadnqg__Oalt_Mtc__025,
% 40.05/6.47 gsy_c_member_000tc__prod_Itc__Arrow____Order____Mirabelle____fjewxadnqg__Oalt_Mt,
% 40.05/6.47 gsy_v_Lab____, gsy_v_Lba____, gsy_v_a____, gsy_v_b____, gsy_v_c____,
% 40.05/6.47 gsy_v_d____, gsy_v_e____,
% 40.05/6.47 help_COMBB_1_1_COMBB_000tc__HOL__Obool_000tc__fun_Itc__fun_Itc__prod_Itc__Arrow_,
% 40.05/6.47 help_COMBB_1_1_COMBB_000tc__Nat__Onat_000tc__fun_Itc__Nat__Onat_Mtc__HOL__Obool_,
% 40.05/6.47 help_COMBB_1_1_COMBB_000tc__fun_Itc__prod_Itc__Arrow____Order____Mirabelle____fj,
% 40.05/6.47 help_COMBB_1_1_COMBB_000tc__fun_Itc__prod_Itc__Arrow____Order____Mirabelle____fj_039,
% 40.05/6.47 help_COMBC_1_1_COMBC_000tc__Arrow____Order____Mirabelle____fjewxadnqg__Oindi_000,
% 40.05/6.47 help_COMBC_1_1_COMBC_000tc__Arrow____Order____Mirabelle____fjewxadnqg__Oindi_000_030,
% 40.05/6.47 help_COMBC_1_1_COMBC_000tc__Arrow____Order____Mirabelle____fjewxadnqg__Oindi_000_033,
% 40.05/6.47 help_COMBC_1_1_COMBC_000tc__Arrow____Order____Mirabelle____fjewxadnqg__Oindi_000_034,
% 40.05/6.47 help_COMBC_1_1_COMBC_000tc__Arrow____Order____Mirabelle____fjewxadnqg__Oindi_000_040,
% 40.05/6.47 help_COMBK_1_1_COMBK_000tc__HOL__Obool_000tc__Arrow____Order____Mirabelle____fje,
% 40.05/6.47 help_COMBK_1_1_COMBK_000tc__HOL__Obool_000tc__fun_Itc__Arrow____Order____Mirabel,
% 40.05/6.47 help_COMBK_1_1_COMBK_000tc__HOL__Obool_000tc__fun_Itc__fun_Itc__Arrow____Order__,
% 40.05/6.47 help_COMBK_1_1_COMBK_000tc__HOL__Obool_000tc__fun_Itc__prod_Itc__Arrow____Order_,
% 40.05/6.47 help_COMBK_1_1_COMBK_000tc__HOL__Obool_000tc__prod_Itc__Arrow____Order____Mirabe,
% 40.05/6.47 help_COMBK_1_1_COMBK_000tc__fun_Itc__Arrow____Order____Mirabelle____fjewxadnqg__,
% 40.05/6.47 help_COMBK_1_1_COMBK_000tc__fun_Itc__Arrow____Order____Mirabelle____fjewxadnqg___027,
% 40.05/6.47 help_COMBK_1_1_COMBK_000tc__fun_Itc__Arrow____Order____Mirabelle____fjewxadnqg___031,
% 40.05/6.47 help_COMBK_1_1_COMBK_000tc__fun_Itc__Arrow____Order____Mirabelle____fjewxadnqg___037,
% 40.05/6.47 help_COMBK_1_1_COMBK_000tc__fun_Itc__HOL__Obool_Mtc__HOL__Obool_J_000tc__fun_Itc,
% 40.05/6.47 help_COMBK_1_1_COMBK_000tc__fun_Itc__HOL__Obool_Mtc__HOL__Obool_J_000tc__fun_Itc_029,
% 40.05/6.47 help_COMBK_1_1_COMBK_000tc__fun_Itc__HOL__Obool_Mtc__HOL__Obool_J_000tc__fun_Itc_036,
% 40.05/6.47 help_COMBK_1_1_COMBK_000tc__fun_Itc__HOL__Obool_Mtc__HOL__Obool_J_000tc__prod_It,
% 40.05/6.47 help_COMBK_1_1_COMBK_000tc__fun_Itc__fun_Itc__Arrow____Order____Mirabelle____fje,
% 40.05/6.47 help_COMBK_1_1_COMBK_000tc__fun_Itc__fun_Itc__Arrow____Order____Mirabelle____fje_032,
% 40.05/6.47 help_COMBK_1_1_COMBK_000tc__fun_Itc__fun_Itc__fun_Itc__Arrow____Order____Mirabel,
% 40.05/6.47 help_COMBK_1_1_COMBK_000tc__fun_Itc__fun_Itc__fun_Itc__Arrow____Order____Mirabel_038,
% 40.05/6.47 help_COMBK_1_1_COMBK_000tc__fun_Itc__fun_Itc__prod_Itc__Arrow____Order____Mirabe,
% 40.05/6.47 help_COMBK_1_1_COMBK_000tc__fun_Itc__fun_Itc__prod_Itc__Arrow____Order____Mirabe_028,
% 40.05/6.47 help_COMBK_1_1_COMBK_000tc__fun_Itc__fun_Itc__prod_Itc__Arrow____Order____Mirabe_035,
% 40.05/6.47 help_COMBK_1_1_COMBK_000tc__fun_Itc__prod_Itc__Arrow____Order____Mirabelle____fj,
% 40.05/6.47 help_COMBK_1_1_COMBK_000tc__fun_Itc__prod_Itc__Arrow____Order____Mirabelle____fj_026,
% 40.05/6.47 help_COMBS_1_1_COMBS_000tc__Arrow____Order____Mirabelle____fjewxadnqg__Oindi_000,
% 40.05/6.47 help_COMBS_1_1_COMBS_000tc__Arrow____Order____Mirabelle____fjewxadnqg__Oindi_000_041,
% 40.05/6.47 help_If_1_1_If_000tc__fun_Itc__prod_Itc__Arrow____Order____Mirabelle____fjewxadn,
% 40.05/6.47 help_If_2_1_If_000tc__fun_Itc__prod_Itc__Arrow____Order____Mirabelle____fjewxadn,
% 40.05/6.47 help_If_3_1_If_000tc__fun_Itc__prod_Itc__Arrow____Order____Mirabelle____fjewxadn,
% 40.05/6.47 help_fTrue_1_1_T, help_fTrue_1_1_U, help_fequal_1_1_fequal_000tc__Nat__Onat_T,
% 40.05/6.47 help_fequal_2_1_fequal_000tc__Nat__Onat_T
% 40.05/6.47
% 40.05/6.47 Those formulas are unsatisfiable:
% 40.05/6.47 ---------------------------------
% 40.05/6.47
% 40.05/6.47 Begin of proof
% 40.14/6.47 |
% 40.14/6.47 | ALPHA: (fact_11__096ALL_Ai_O_A_Ic_A_060_092_060_094bsub_062P_Ai_092_060_094esub_062_Ad_J)
% 40.14/6.47 | implies:
% 40.14/6.48 | (1) ? [v0: $i] : ? [v1: $i] : (produc171383831le_alt(c, d) = v0 &
% 40.14/6.48 | member1056080916le_alt(v0) = v1 & $i(v1) & $i(v0) & ! [v2: $i] : !
% 40.14/6.48 | [v3: $i] : ( ~ (hAPP_A588601142di_nat(h, v2) = v3) | ~ $i(v2) | ?
% 40.14/6.48 | [v4: $i] : ? [v5: $i] : ? [v6: any] : ? [v7: $i] : ? [v8: $i] :
% 40.14/6.48 | ? [v9: any] : ? [v10: $i] : ? [v11: $i] : ? [v12: $i] : ?
% 40.14/6.48 | [v13: any] : ? [v14: $i] : ? [v15: $i] : ? [v16: $i] : ? [v17:
% 40.14/6.48 | $i] : ? [v18: any] : ? [v19: $i] : ? [v20: $i] : ? [v21: $i]
% 40.14/6.48 | : ? [v22: any] : (hAPP_n1699378549t_bool(ord_less_nat, v3) = v7 &
% 40.14/6.48 | hAPP_f1336478923t_bool(arrow_812378712_above, v4) = v14 &
% 40.14/6.48 | hAPP_A384644407t_bool(v14, c) = v15 &
% 40.14/6.48 | hAPP_f1290184496t_bool(arrow_78446834_mktop, v4) = v10 &
% 40.14/6.48 | hAPP_f1290184496t_bool(arrow_2077223396_mkbot, v4) = v19 &
% 40.14/6.48 | hBOOL(v21) = v22 & hBOOL(v17) = v18 & hBOOL(v12) = v13 &
% 40.14/6.48 | hBOOL(v8) = v9 & hBOOL(v5) = v6 & hAPP_f745298353l_bool(v1, v20)
% 40.14/6.48 | = v21 & hAPP_f745298353l_bool(v1, v16) = v17 &
% 40.14/6.48 | hAPP_f745298353l_bool(v1, v11) = v12 & hAPP_f745298353l_bool(v1,
% 40.14/6.48 | v4) = v5 & hAPP_nat_bool(v7, n) = v8 &
% 40.14/6.48 | hAPP_A1374816149t_bool(p, v2) = v4 & hAPP_A619995676t_bool(v19,
% 40.14/6.48 | e) = v20 & hAPP_A619995676t_bool(v15, e) = v16 &
% 40.14/6.48 | hAPP_A619995676t_bool(v10, e) = v11 & $i(v21) & $i(v20) & $i(v19)
% 40.14/6.48 | & $i(v17) & $i(v16) & $i(v15) & $i(v14) & $i(v12) & $i(v11) &
% 40.14/6.48 | $i(v10) & $i(v8) & $i(v7) & $i(v5) & $i(v4) & ( ~ (v6 = 0) | (( ~
% 40.14/6.48 | (v9 = 0) | v13 = 0) & (v9 = 0 | (( ~ (v3 = n) | v18 = 0) &
% 40.14/6.48 | (v22 = 0 | v3 = n))))))) & ! [v2: $i] : ! [v3: $i] : (
% 40.14/6.48 | ~ (hAPP_A588601142di_nat(h, v2) = v3) | ~ $i(v2) | ? [v4: $i] :
% 40.14/6.48 | ? [v5: $i] : ? [v6: any] : ? [v7: $i] : ? [v8: $i] : ? [v9: $i]
% 40.14/6.48 | : ? [v10: $i] : ? [v11: any] : ? [v12: $i] : ? [v13: $i] : ?
% 40.14/6.48 | [v14: $i] : ? [v15: $i] : ? [v16: any] : ? [v17: $i] : ? [v18:
% 40.14/6.48 | $i] : ? [v19: $i] : ? [v20: any] : ? [v21: $i] : ? [v22: any]
% 40.14/6.48 | : (hAPP_n1699378549t_bool(ord_less_nat, v3) = v4 &
% 40.14/6.48 | hAPP_f1336478923t_bool(arrow_812378712_above, v7) = v12 &
% 40.14/6.48 | hAPP_A384644407t_bool(v12, c) = v13 &
% 40.14/6.48 | hAPP_f1290184496t_bool(arrow_78446834_mktop, v7) = v8 &
% 40.14/6.48 | hAPP_f1290184496t_bool(arrow_2077223396_mkbot, v7) = v17 &
% 40.14/6.48 | hBOOL(v21) = v22 & hBOOL(v19) = v20 & hBOOL(v15) = v16 &
% 40.14/6.48 | hBOOL(v10) = v11 & hBOOL(v5) = v6 & hAPP_f745298353l_bool(v1,
% 40.14/6.48 | v18) = v19 & hAPP_f745298353l_bool(v1, v14) = v15 &
% 40.14/6.48 | hAPP_f745298353l_bool(v1, v9) = v10 & hAPP_f745298353l_bool(v1,
% 40.14/6.48 | v7) = v21 & hAPP_nat_bool(v4, n) = v5 &
% 40.14/6.48 | hAPP_A1374816149t_bool(p, v2) = v7 & hAPP_A619995676t_bool(v17,
% 40.14/6.48 | e) = v18 & hAPP_A619995676t_bool(v13, e) = v14 &
% 40.14/6.48 | hAPP_A619995676t_bool(v8, e) = v9 & $i(v21) & $i(v19) & $i(v18) &
% 40.14/6.48 | $i(v17) & $i(v15) & $i(v14) & $i(v13) & $i(v12) & $i(v10) &
% 40.14/6.48 | $i(v9) & $i(v8) & $i(v7) & $i(v5) & $i(v4) & (v22 = 0 | (v6 = 0 &
% 40.14/6.48 | ~ (v11 = 0)) | ( ~ (v6 = 0) & ((v3 = n & ~ (v16 = 0)) | ( ~
% 40.14/6.48 | (v20 = 0) & ~ (v3 = n))))))))
% 40.14/6.48 |
% 40.14/6.48 | ALPHA: (fact_12__096c_A_060_092_060_094bsub_062P_A_Iinv_Ah_An_J_092_060_094esub_062_Ad_0)
% 40.14/6.48 | implies:
% 40.14/6.48 | (2) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] :
% 40.14/6.48 | ? [v5: $i] : (produc171383831le_alt(c, d) = v0 & hBOOL(v5) = 0 &
% 40.14/6.48 | member1056080916le_alt(v0) = v1 & hAPP_f745298353l_bool(v1, v4) = v5
% 40.14/6.48 | & hAPP_n385347014e_indi(v2, n) = v3 & hAPP_A1374816149t_bool(p, v3) =
% 40.14/6.48 | v4 & hilber1792103167di_nat(top_to1256827021i_bool, h) = v2 & $i(v5)
% 40.14/6.48 | & $i(v4) & $i(v3) & $i(v2) & $i(v1) & $i(v0))
% 40.14/6.48 |
% 40.14/6.48 | ALPHA: (fact_13__096c_A_060_092_060_094bsub_062F_A_I_Fi_O_Aif_Ah_Ai_A_060_An_Athen_Amkto)
% 40.14/6.48 | implies:
% 40.14/6.48 | (3) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] :
% 40.14/6.48 | ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : ? [v8: $i] : ? [v9: $i] : ?
% 40.14/6.48 | [v10: $i] : ? [v11: $i] : ? [v12: $i] : ? [v13: $i] : ? [v14: $i] :
% 40.14/6.48 | ? [v15: $i] : ? [v16: $i] : ? [v17: $i] : ? [v18: $i] : ? [v19:
% 40.14/6.48 | $i] : ? [v20: $i] : (cOMBB_317992461e_indi(fequal_nat, h) = v8 &
% 40.14/6.48 | cOMBB_317992461e_indi(ord_less_nat, h) = v2 &
% 40.14/6.48 | cOMBB_963584201e_indi(if_fun1419651289t_bool, v9) = v10 &
% 40.14/6.48 | cOMBB_963584201e_indi(if_fun1419651289t_bool, v3) = v4 &
% 40.14/6.48 | cOMBB_69933763e_indi(arrow_812378712_above, p) = v11 &
% 40.14/6.48 | cOMBC_493523632t_bool(v11, c) = v12 & cOMBS_102864562t_bool(v10, v13)
% 40.14/6.48 | = v14 & cOMBS_102864562t_bool(v4, v6) = v7 &
% 40.14/6.48 | cOMBB_1292070696e_indi(arrow_78446834_mktop, p) = v5 &
% 40.14/6.48 | cOMBB_1292070696e_indi(arrow_2077223396_mkbot, p) = v15 &
% 40.14/6.48 | cOMBC_1778077589t_bool(v15, e) = v16 & cOMBC_1778077589t_bool(v12, e)
% 40.14/6.48 | = v13 & cOMBC_1778077589t_bool(v5, e) = v6 &
% 40.14/6.48 | cOMBS_867867294t_bool(v14, v16) = v17 & cOMBS_867867294t_bool(v7,
% 40.14/6.48 | v17) = v18 & produc171383831le_alt(c, d) = v0 & hBOOL(v20) = 0 &
% 40.14/6.48 | member1056080916le_alt(v0) = v1 & hAPP_f745298353l_bool(v1, v19) =
% 40.14/6.48 | v20 & hAPP_f695124765t_bool(f, v18) = v19 & cOMBC_277798809t_bool(v8,
% 40.14/6.48 | n) = v9 & cOMBC_277798809t_bool(v2, n) = v3 & $i(v20) & $i(v19) &
% 40.14/6.48 | $i(v18) & $i(v17) & $i(v16) & $i(v15) & $i(v14) & $i(v13) & $i(v12) &
% 40.14/6.48 | $i(v11) & $i(v10) & $i(v9) & $i(v8) & $i(v7) & $i(v6) & $i(v5) &
% 40.14/6.48 | $i(v4) & $i(v3) & $i(v2) & $i(v1) & $i(v0))
% 40.14/6.48 |
% 40.14/6.48 | ALPHA: (fact_14_PW) implies:
% 40.14/6.48 | (4) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: any] :
% 40.14/6.48 | ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : ? [v8: $i] : ? [v9: $i] : ?
% 40.14/6.48 | [v10: $i] : ? [v11: $i] : ? [v12: $i] : ? [v13: $i] : ? [v14: $i] :
% 40.14/6.48 | ? [v15: $i] : ? [v16: $i] : ? [v17: $i] : ? [v18: $i] : ? [v19:
% 40.14/6.48 | $i] : ? [v20: $i] : ? [v21: $i] : ? [v22: $i] : ? [v23: $i] : ?
% 40.14/6.48 | [v24: any] : (cOMBB_317992461e_indi(fequal_nat, h) = v11 &
% 40.14/6.48 | cOMBB_317992461e_indi(ord_less_nat, h) = v5 &
% 40.14/6.48 | cOMBB_963584201e_indi(if_fun1419651289t_bool, v12) = v13 &
% 40.14/6.48 | cOMBB_963584201e_indi(if_fun1419651289t_bool, v6) = v7 &
% 40.14/6.48 | cOMBB_69933763e_indi(arrow_812378712_above, p) = v14 &
% 40.14/6.48 | cOMBC_493523632t_bool(v14, c) = v15 & cOMBS_102864562t_bool(v13, v16)
% 40.14/6.48 | = v17 & cOMBS_102864562t_bool(v7, v9) = v10 &
% 40.14/6.48 | cOMBB_1292070696e_indi(arrow_78446834_mktop, p) = v8 &
% 40.14/6.48 | cOMBB_1292070696e_indi(arrow_2077223396_mkbot, p) = v18 &
% 40.14/6.48 | cOMBC_1778077589t_bool(v18, e) = v19 & cOMBC_1778077589t_bool(v15, e)
% 40.14/6.48 | = v16 & cOMBC_1778077589t_bool(v8, e) = v9 &
% 40.14/6.48 | cOMBS_867867294t_bool(v17, v19) = v20 & cOMBS_867867294t_bool(v10,
% 40.14/6.48 | v20) = v21 & produc171383831le_alt(c, d) = v0 & hBOOL(v23) = v24 &
% 40.14/6.48 | hBOOL(v3) = v4 & member1056080916le_alt(v0) = v1 &
% 40.14/6.48 | hAPP_f745298353l_bool(v1, v22) = v23 & hAPP_f745298353l_bool(v1, v2)
% 40.14/6.48 | = v3 & hAPP_f695124765t_bool(f, v21) = v22 & hAPP_f695124765t_bool(f,
% 40.14/6.48 | p) = v2 & cOMBC_277798809t_bool(v11, n) = v12 &
% 40.14/6.48 | cOMBC_277798809t_bool(v5, n) = v6 & $i(v23) & $i(v22) & $i(v21) &
% 40.14/6.48 | $i(v20) & $i(v19) & $i(v18) & $i(v17) & $i(v16) & $i(v15) & $i(v14) &
% 40.14/6.48 | $i(v13) & $i(v12) & $i(v11) & $i(v10) & $i(v9) & $i(v8) & $i(v7) &
% 40.14/6.48 | $i(v6) & $i(v5) & $i(v3) & $i(v2) & $i(v1) & $i(v0) & ((v24 = 0 & v4
% 40.14/6.48 | = 0) | ( ~ (v24 = 0) & ~ (v4 = 0))))
% 40.14/6.49 |
% 40.14/6.49 | ALPHA: (fact_16__096_I_Fi_O_Aif_Ah_Ai_A_060_An_Athen_Amktop_A_IP_Ai_J_Ae_Aelse_Aif_Ah_Ai)
% 40.14/6.49 | implies:
% 40.14/6.49 | (5) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] :
% 40.14/6.49 | ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : ? [v8: $i] : ? [v9: $i] : ?
% 40.14/6.49 | [v10: $i] : ? [v11: $i] : ? [v12: $i] : ? [v13: $i] : ? [v14: $i] :
% 40.14/6.49 | ? [v15: $i] : ? [v16: $i] : ? [v17: $i] : ? [v18: $i] :
% 40.14/6.49 | (cOMBB_317992461e_indi(fequal_nat, h) = v6 &
% 40.14/6.49 | cOMBB_317992461e_indi(ord_less_nat, h) = v0 &
% 40.14/6.49 | cOMBB_963584201e_indi(if_fun1419651289t_bool, v7) = v8 &
% 40.14/6.49 | cOMBB_963584201e_indi(if_fun1419651289t_bool, v1) = v2 &
% 40.14/6.49 | cOMBB_69933763e_indi(arrow_812378712_above, p) = v9 &
% 40.14/6.49 | cOMBC_493523632t_bool(v9, c) = v10 & cOMBS_102864562t_bool(v8, v11) =
% 40.14/6.49 | v12 & cOMBS_102864562t_bool(v2, v4) = v5 &
% 40.14/6.49 | cOMBB_1292070696e_indi(arrow_78446834_mktop, p) = v3 &
% 40.14/6.49 | cOMBB_1292070696e_indi(arrow_2077223396_mkbot, p) = v13 &
% 40.14/6.49 | cOMBC_1778077589t_bool(v13, e) = v14 & cOMBC_1778077589t_bool(v10, e)
% 40.14/6.49 | = v11 & cOMBC_1778077589t_bool(v3, e) = v4 &
% 40.14/6.49 | cOMBS_867867294t_bool(v12, v14) = v15 & cOMBS_867867294t_bool(v5,
% 40.14/6.49 | v15) = v16 & member1277417654t_bool(v16) = v17 & hBOOL(v18) = 0 &
% 40.14/6.49 | hAPP_f453661011l_bool(v17, arrow_413697182e_Prof) = v18 &
% 40.14/6.49 | cOMBC_277798809t_bool(v6, n) = v7 & cOMBC_277798809t_bool(v0, n) = v1
% 40.14/6.49 | & $i(v18) & $i(v17) & $i(v16) & $i(v15) & $i(v14) & $i(v13) & $i(v12)
% 40.14/6.49 | & $i(v11) & $i(v10) & $i(v9) & $i(v8) & $i(v7) & $i(v6) & $i(v5) &
% 40.14/6.49 | $i(v4) & $i(v3) & $i(v2) & $i(v1) & $i(v0))
% 40.14/6.49 |
% 40.14/6.49 | ALPHA: (fact_17__096c_A_060_092_060_094bsub_062F_A_I_Fi_O_Aif_Ah_Ai_A_060_An_Athen_Amkto)
% 40.14/6.49 | implies:
% 40.14/6.49 | (6) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] :
% 40.14/6.49 | ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : ? [v8: $i] : ? [v9: $i] : ?
% 40.14/6.49 | [v10: $i] : ? [v11: $i] : ? [v12: $i] : ? [v13: $i] : ? [v14: $i] :
% 40.14/6.49 | ? [v15: $i] : ? [v16: $i] : ? [v17: $i] : ? [v18: $i] : ? [v19:
% 40.14/6.49 | $i] : ? [v20: $i] : (cOMBB_317992461e_indi(fequal_nat, h) = v8 &
% 40.14/6.49 | cOMBB_317992461e_indi(ord_less_nat, h) = v2 &
% 40.14/6.49 | cOMBB_963584201e_indi(if_fun1419651289t_bool, v9) = v10 &
% 40.14/6.49 | cOMBB_963584201e_indi(if_fun1419651289t_bool, v3) = v4 &
% 40.14/6.49 | cOMBB_69933763e_indi(arrow_812378712_above, p) = v11 &
% 40.14/6.49 | cOMBC_493523632t_bool(v11, c) = v12 & cOMBS_102864562t_bool(v10, v13)
% 40.14/6.49 | = v14 & cOMBS_102864562t_bool(v4, v6) = v7 &
% 40.14/6.49 | cOMBB_1292070696e_indi(arrow_78446834_mktop, p) = v5 &
% 40.14/6.49 | cOMBB_1292070696e_indi(arrow_2077223396_mkbot, p) = v15 &
% 40.14/6.49 | cOMBC_1778077589t_bool(v15, e) = v16 & cOMBC_1778077589t_bool(v12, e)
% 40.14/6.49 | = v13 & cOMBC_1778077589t_bool(v5, e) = v6 &
% 40.14/6.49 | cOMBS_867867294t_bool(v14, v16) = v17 & cOMBS_867867294t_bool(v7,
% 40.14/6.49 | v17) = v18 & produc171383831le_alt(c, e) = v0 & hBOOL(v20) = 0 &
% 40.14/6.49 | member1056080916le_alt(v0) = v1 & hAPP_f745298353l_bool(v1, v19) =
% 40.14/6.49 | v20 & hAPP_f695124765t_bool(f, v18) = v19 & cOMBC_277798809t_bool(v8,
% 40.14/6.49 | n) = v9 & cOMBC_277798809t_bool(v2, n) = v3 & $i(v20) & $i(v19) &
% 40.14/6.49 | $i(v18) & $i(v17) & $i(v16) & $i(v15) & $i(v14) & $i(v13) & $i(v12) &
% 40.14/6.49 | $i(v11) & $i(v10) & $i(v9) & $i(v8) & $i(v7) & $i(v6) & $i(v5) &
% 40.14/6.49 | $i(v4) & $i(v3) & $i(v2) & $i(v1) & $i(v0))
% 40.14/6.49 |
% 40.14/6.49 | ALPHA: (fact_18__096e_A_060_092_060_094bsub_062F_A_I_Fi_O_Aif_Ah_Ai_A_060_An_Athen_Amkto)
% 40.14/6.49 | implies:
% 40.14/6.49 | (7) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] :
% 40.14/6.49 | ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : ? [v8: $i] : ? [v9: $i] : ?
% 40.14/6.49 | [v10: $i] : ? [v11: $i] : ? [v12: $i] : ? [v13: $i] : ? [v14: $i] :
% 40.14/6.49 | ? [v15: $i] : ? [v16: $i] : ? [v17: $i] : ? [v18: $i] : ? [v19:
% 40.14/6.49 | $i] : ? [v20: $i] : (cOMBB_317992461e_indi(fequal_nat, h) = v8 &
% 40.14/6.49 | cOMBB_317992461e_indi(ord_less_nat, h) = v2 &
% 40.14/6.49 | cOMBB_963584201e_indi(if_fun1419651289t_bool, v9) = v10 &
% 40.14/6.49 | cOMBB_963584201e_indi(if_fun1419651289t_bool, v3) = v4 &
% 40.14/6.49 | cOMBB_69933763e_indi(arrow_812378712_above, p) = v11 &
% 40.14/6.49 | cOMBC_493523632t_bool(v11, c) = v12 & cOMBS_102864562t_bool(v10, v13)
% 40.14/6.49 | = v14 & cOMBS_102864562t_bool(v4, v6) = v7 &
% 40.14/6.49 | cOMBB_1292070696e_indi(arrow_78446834_mktop, p) = v5 &
% 40.14/6.49 | cOMBB_1292070696e_indi(arrow_2077223396_mkbot, p) = v15 &
% 40.14/6.49 | cOMBC_1778077589t_bool(v15, e) = v16 & cOMBC_1778077589t_bool(v12, e)
% 40.14/6.49 | = v13 & cOMBC_1778077589t_bool(v5, e) = v6 &
% 40.14/6.49 | cOMBS_867867294t_bool(v14, v16) = v17 & cOMBS_867867294t_bool(v7,
% 40.14/6.49 | v17) = v18 & produc171383831le_alt(e, d) = v0 & hBOOL(v20) = 0 &
% 40.14/6.49 | member1056080916le_alt(v0) = v1 & hAPP_f745298353l_bool(v1, v19) =
% 40.14/6.49 | v20 & hAPP_f695124765t_bool(f, v18) = v19 & cOMBC_277798809t_bool(v8,
% 40.14/6.49 | n) = v9 & cOMBC_277798809t_bool(v2, n) = v3 & $i(v20) & $i(v19) &
% 40.14/6.49 | $i(v18) & $i(v17) & $i(v16) & $i(v15) & $i(v14) & $i(v13) & $i(v12) &
% 40.14/6.49 | $i(v11) & $i(v10) & $i(v9) & $i(v8) & $i(v7) & $i(v6) & $i(v5) &
% 40.14/6.49 | $i(v4) & $i(v3) & $i(v2) & $i(v1) & $i(v0))
% 40.14/6.49 |
% 40.14/6.49 | ALPHA: (fact_151_PiProf) implies:
% 40.14/6.49 | (8) ? [v0: $i] : (cOMBB_317992461e_indi(ord_less_nat, h) = v0 & $i(v0) &
% 40.14/6.49 | ! [v1: $i] : ! [v2: $i] : ( ~ (cOMBC_277798809t_bool(v0, v1) = v2) |
% 40.14/6.49 | ~ $i(v1) | ? [v3: $i] : ? [v4: $i] : ? [v5: $i] : ? [v6: $i] :
% 40.14/6.49 | ? [v7: $i] : (cOMBC_481590946t_bool(v3, lab) = v4 &
% 40.14/6.49 | cOMBC_437064334t_bool(v4, lba) = v5 &
% 40.14/6.49 | cOMBB_963584201e_indi(if_fun1419651289t_bool, v2) = v3 &
% 40.14/6.49 | member1277417654t_bool(v5) = v6 & hBOOL(v7) = 0 &
% 40.14/6.49 | hAPP_f453661011l_bool(v6, arrow_413697182e_Prof) = v7 & $i(v7) &
% 40.14/6.49 | $i(v6) & $i(v5) & $i(v4) & $i(v3))))
% 40.14/6.49 |
% 40.14/6.49 | ALPHA: (fact_191__096_Ie_A_060_092_060_094bsub_062F_A_I_Fi_O_Aif_Ah_Ai_A_060_An_Athen_Am)
% 40.14/6.49 | implies:
% 40.14/6.49 | (9) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] :
% 40.14/6.49 | ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : ? [v8: $i] : ? [v9: $i] : ?
% 40.14/6.49 | [v10: $i] : ? [v11: $i] : ? [v12: $i] : ? [v13: $i] : ? [v14: $i] :
% 40.14/6.49 | ? [v15: $i] : ? [v16: $i] : ? [v17: $i] : ? [v18: $i] : ? [v19:
% 40.14/6.49 | $i] : ? [v20: $i] : ? [v21: any] : ? [v22: $i] : ? [v23: $i] : ?
% 40.14/6.49 | [v24: $i] : ? [v25: $i] : ? [v26: $i] : ? [v27: $i] : ? [v28: any]
% 40.14/6.49 | : (cOMBC_481590946t_bool(v4, lab) = v24 & cOMBC_437064334t_bool(v24,
% 40.14/6.49 | lba) = v25 & cOMBB_317992461e_indi(fequal_nat, h) = v8 &
% 40.14/6.49 | cOMBB_317992461e_indi(ord_less_nat, h) = v2 &
% 40.14/6.49 | cOMBB_963584201e_indi(if_fun1419651289t_bool, v9) = v10 &
% 40.14/6.49 | cOMBB_963584201e_indi(if_fun1419651289t_bool, v3) = v4 &
% 40.14/6.49 | cOMBB_69933763e_indi(arrow_812378712_above, p) = v11 &
% 40.14/6.49 | cOMBC_493523632t_bool(v11, c) = v12 & cOMBS_102864562t_bool(v10, v13)
% 40.14/6.49 | = v14 & cOMBS_102864562t_bool(v4, v6) = v7 &
% 40.14/6.49 | cOMBB_1292070696e_indi(arrow_78446834_mktop, p) = v5 &
% 40.14/6.49 | cOMBB_1292070696e_indi(arrow_2077223396_mkbot, p) = v15 &
% 40.14/6.49 | cOMBC_1778077589t_bool(v15, e) = v16 & cOMBC_1778077589t_bool(v12, e)
% 40.14/6.49 | = v13 & cOMBC_1778077589t_bool(v5, e) = v6 &
% 40.14/6.49 | cOMBS_867867294t_bool(v14, v16) = v17 & cOMBS_867867294t_bool(v7,
% 40.14/6.49 | v17) = v18 & produc171383831le_alt(e, d) = v0 &
% 40.14/6.49 | produc171383831le_alt(b, a) = v22 & hBOOL(v27) = v28 & hBOOL(v20) =
% 40.14/6.49 | v21 & member1056080916le_alt(v22) = v23 & member1056080916le_alt(v0)
% 40.14/6.49 | = v1 & hAPP_f745298353l_bool(v23, v26) = v27 &
% 40.14/6.49 | hAPP_f745298353l_bool(v1, v19) = v20 & hAPP_f695124765t_bool(f, v25)
% 40.14/6.49 | = v26 & hAPP_f695124765t_bool(f, v18) = v19 &
% 40.14/6.49 | cOMBC_277798809t_bool(v8, n) = v9 & cOMBC_277798809t_bool(v2, n) = v3
% 40.14/6.49 | & $i(v27) & $i(v26) & $i(v25) & $i(v24) & $i(v23) & $i(v22) & $i(v20)
% 40.14/6.49 | & $i(v19) & $i(v18) & $i(v17) & $i(v16) & $i(v15) & $i(v14) & $i(v13)
% 40.14/6.49 | & $i(v12) & $i(v11) & $i(v10) & $i(v9) & $i(v8) & $i(v7) & $i(v6) &
% 40.14/6.49 | $i(v5) & $i(v4) & $i(v3) & $i(v2) & $i(v1) & $i(v0) & ((v28 = 0 & v21
% 40.14/6.49 | = 0) | ( ~ (v28 = 0) & ~ (v21 = 0))))
% 40.14/6.49 |
% 40.14/6.49 | ALPHA: (conj_0) implies:
% 40.14/6.49 | (10) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: int] :
% 40.14/6.49 | ( ~ (v4 = 0) & produc171383831le_alt(c, d) = v0 & hBOOL(v3) = v4 &
% 40.14/6.49 | member1056080916le_alt(v0) = v1 & hAPP_f745298353l_bool(v1, v2) = v3
% 40.14/6.49 | & hAPP_f695124765t_bool(f, p) = v2 & $i(v3) & $i(v2) & $i(v1) &
% 40.14/6.49 | $i(v0))
% 40.14/6.49 |
% 40.14/6.49 | ALPHA: (function-axioms) implies:
% 40.14/6.50 | (11) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~
% 40.14/6.50 | (member1056080916le_alt(v2) = v1) | ~ (member1056080916le_alt(v2) =
% 40.14/6.50 | v0))
% 40.14/6.50 | (12) ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i]
% 40.14/6.50 | : (v1 = v0 | ~ (hBOOL(v2) = v1) | ~ (hBOOL(v2) = v0))
% 40.14/6.50 | (13) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 40.14/6.50 | (cOMBC_277798809t_bool(v3, v2) = v1) | ~ (cOMBC_277798809t_bool(v3,
% 40.14/6.50 | v2) = v0))
% 40.14/6.50 | (14) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 40.14/6.50 | (hAPP_f695124765t_bool(v3, v2) = v1) | ~ (hAPP_f695124765t_bool(v3,
% 40.14/6.50 | v2) = v0))
% 40.14/6.50 | (15) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 40.14/6.50 | (hAPP_f745298353l_bool(v3, v2) = v1) | ~ (hAPP_f745298353l_bool(v3,
% 40.14/6.50 | v2) = v0))
% 40.14/6.50 | (16) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 40.14/6.50 | (produc171383831le_alt(v3, v2) = v1) | ~ (produc171383831le_alt(v3,
% 40.14/6.50 | v2) = v0))
% 40.14/6.50 | (17) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 40.14/6.50 | (cOMBS_867867294t_bool(v3, v2) = v1) | ~ (cOMBS_867867294t_bool(v3,
% 40.14/6.50 | v2) = v0))
% 40.14/6.50 | (18) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 40.14/6.50 | (cOMBC_1778077589t_bool(v3, v2) = v1) | ~
% 40.14/6.50 | (cOMBC_1778077589t_bool(v3, v2) = v0))
% 40.14/6.50 | (19) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 40.14/6.50 | (cOMBB_1292070696e_indi(v3, v2) = v1) | ~
% 40.14/6.50 | (cOMBB_1292070696e_indi(v3, v2) = v0))
% 40.14/6.50 | (20) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 40.14/6.50 | (cOMBS_102864562t_bool(v3, v2) = v1) | ~ (cOMBS_102864562t_bool(v3,
% 40.14/6.50 | v2) = v0))
% 40.14/6.50 | (21) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 40.14/6.50 | (cOMBC_493523632t_bool(v3, v2) = v1) | ~ (cOMBC_493523632t_bool(v3,
% 40.14/6.50 | v2) = v0))
% 40.14/6.50 | (22) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 40.14/6.50 | (cOMBB_69933763e_indi(v3, v2) = v1) | ~ (cOMBB_69933763e_indi(v3,
% 40.14/6.50 | v2) = v0))
% 40.14/6.50 | (23) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 40.14/6.50 | (cOMBB_963584201e_indi(v3, v2) = v1) | ~ (cOMBB_963584201e_indi(v3,
% 40.14/6.50 | v2) = v0))
% 40.14/6.50 | (24) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 40.14/6.50 | (cOMBB_317992461e_indi(v3, v2) = v1) | ~ (cOMBB_317992461e_indi(v3,
% 40.14/6.50 | v2) = v0))
% 40.14/6.50 |
% 40.14/6.50 | DELTA: instantiating (10) with fresh symbols all_343_0, all_343_1, all_343_2,
% 40.14/6.50 | all_343_3, all_343_4 gives:
% 40.14/6.50 | (25) ~ (all_343_0 = 0) & produc171383831le_alt(c, d) = all_343_4 &
% 40.14/6.50 | hBOOL(all_343_1) = all_343_0 & member1056080916le_alt(all_343_4) =
% 40.14/6.50 | all_343_3 & hAPP_f745298353l_bool(all_343_3, all_343_2) = all_343_1 &
% 40.14/6.50 | hAPP_f695124765t_bool(f, p) = all_343_2 & $i(all_343_1) &
% 40.14/6.50 | $i(all_343_2) & $i(all_343_3) & $i(all_343_4)
% 40.14/6.50 |
% 40.14/6.50 | ALPHA: (25) implies:
% 40.14/6.50 | (26) ~ (all_343_0 = 0)
% 40.14/6.50 | (27) hAPP_f695124765t_bool(f, p) = all_343_2
% 40.14/6.50 | (28) hAPP_f745298353l_bool(all_343_3, all_343_2) = all_343_1
% 40.14/6.50 | (29) member1056080916le_alt(all_343_4) = all_343_3
% 40.14/6.50 | (30) hBOOL(all_343_1) = all_343_0
% 40.14/6.50 | (31) produc171383831le_alt(c, d) = all_343_4
% 40.14/6.50 |
% 40.14/6.50 | DELTA: instantiating (2) with fresh symbols all_345_0, all_345_1, all_345_2,
% 40.14/6.50 | all_345_3, all_345_4, all_345_5 gives:
% 40.14/6.50 | (32) produc171383831le_alt(c, d) = all_345_5 & hBOOL(all_345_0) = 0 &
% 40.14/6.50 | member1056080916le_alt(all_345_5) = all_345_4 &
% 40.14/6.50 | hAPP_f745298353l_bool(all_345_4, all_345_1) = all_345_0 &
% 40.14/6.50 | hAPP_n385347014e_indi(all_345_3, n) = all_345_2 &
% 40.14/6.50 | hAPP_A1374816149t_bool(p, all_345_2) = all_345_1 &
% 40.14/6.50 | hilber1792103167di_nat(top_to1256827021i_bool, h) = all_345_3 &
% 40.14/6.50 | $i(all_345_0) & $i(all_345_1) & $i(all_345_2) & $i(all_345_3) &
% 40.14/6.50 | $i(all_345_4) & $i(all_345_5)
% 40.14/6.50 |
% 40.14/6.50 | ALPHA: (32) implies:
% 40.14/6.50 | (33) member1056080916le_alt(all_345_5) = all_345_4
% 40.14/6.50 | (34) produc171383831le_alt(c, d) = all_345_5
% 40.14/6.50 |
% 40.14/6.50 | DELTA: instantiating (8) with fresh symbol all_348_0 gives:
% 40.14/6.50 | (35) cOMBB_317992461e_indi(ord_less_nat, h) = all_348_0 & $i(all_348_0) &
% 40.14/6.50 | ! [v0: $i] : ! [v1: $i] : ( ~ (cOMBC_277798809t_bool(all_348_0, v0) =
% 40.14/6.50 | v1) | ~ $i(v0) | ? [v2: $i] : ? [v3: $i] : ? [v4: $i] : ?
% 40.14/6.50 | [v5: $i] : ? [v6: $i] : (cOMBC_481590946t_bool(v2, lab) = v3 &
% 40.14/6.50 | cOMBC_437064334t_bool(v3, lba) = v4 &
% 40.14/6.50 | cOMBB_963584201e_indi(if_fun1419651289t_bool, v1) = v2 &
% 40.14/6.50 | member1277417654t_bool(v4) = v5 & hBOOL(v6) = 0 &
% 40.14/6.50 | hAPP_f453661011l_bool(v5, arrow_413697182e_Prof) = v6 & $i(v6) &
% 40.14/6.50 | $i(v5) & $i(v4) & $i(v3) & $i(v2)))
% 40.14/6.50 |
% 40.14/6.50 | ALPHA: (35) implies:
% 40.14/6.50 | (36) cOMBB_317992461e_indi(ord_less_nat, h) = all_348_0
% 40.14/6.50 |
% 40.14/6.50 | DELTA: instantiating (5) with fresh symbols all_355_0, all_355_1, all_355_2,
% 40.14/6.50 | all_355_3, all_355_4, all_355_5, all_355_6, all_355_7, all_355_8,
% 40.14/6.50 | all_355_9, all_355_10, all_355_11, all_355_12, all_355_13, all_355_14,
% 40.14/6.50 | all_355_15, all_355_16, all_355_17, all_355_18 gives:
% 40.14/6.50 | (37) cOMBB_317992461e_indi(fequal_nat, h) = all_355_12 &
% 40.14/6.50 | cOMBB_317992461e_indi(ord_less_nat, h) = all_355_18 &
% 40.14/6.50 | cOMBB_963584201e_indi(if_fun1419651289t_bool, all_355_11) = all_355_10
% 40.14/6.50 | & cOMBB_963584201e_indi(if_fun1419651289t_bool, all_355_17) =
% 40.14/6.50 | all_355_16 & cOMBB_69933763e_indi(arrow_812378712_above, p) =
% 40.14/6.50 | all_355_9 & cOMBC_493523632t_bool(all_355_9, c) = all_355_8 &
% 40.14/6.50 | cOMBS_102864562t_bool(all_355_10, all_355_7) = all_355_6 &
% 40.14/6.50 | cOMBS_102864562t_bool(all_355_16, all_355_14) = all_355_13 &
% 40.14/6.50 | cOMBB_1292070696e_indi(arrow_78446834_mktop, p) = all_355_15 &
% 40.14/6.50 | cOMBB_1292070696e_indi(arrow_2077223396_mkbot, p) = all_355_5 &
% 40.14/6.50 | cOMBC_1778077589t_bool(all_355_5, e) = all_355_4 &
% 40.14/6.50 | cOMBC_1778077589t_bool(all_355_8, e) = all_355_7 &
% 40.14/6.50 | cOMBC_1778077589t_bool(all_355_15, e) = all_355_14 &
% 40.14/6.50 | cOMBS_867867294t_bool(all_355_6, all_355_4) = all_355_3 &
% 40.14/6.50 | cOMBS_867867294t_bool(all_355_13, all_355_3) = all_355_2 &
% 40.14/6.50 | member1277417654t_bool(all_355_2) = all_355_1 & hBOOL(all_355_0) = 0 &
% 40.14/6.50 | hAPP_f453661011l_bool(all_355_1, arrow_413697182e_Prof) = all_355_0 &
% 40.14/6.50 | cOMBC_277798809t_bool(all_355_12, n) = all_355_11 &
% 40.14/6.50 | cOMBC_277798809t_bool(all_355_18, n) = all_355_17 & $i(all_355_0) &
% 40.14/6.50 | $i(all_355_1) & $i(all_355_2) & $i(all_355_3) & $i(all_355_4) &
% 40.14/6.50 | $i(all_355_5) & $i(all_355_6) & $i(all_355_7) & $i(all_355_8) &
% 40.14/6.50 | $i(all_355_9) & $i(all_355_10) & $i(all_355_11) & $i(all_355_12) &
% 40.14/6.50 | $i(all_355_13) & $i(all_355_14) & $i(all_355_15) & $i(all_355_16) &
% 40.14/6.50 | $i(all_355_17) & $i(all_355_18)
% 40.14/6.50 |
% 40.14/6.50 | ALPHA: (37) implies:
% 40.14/6.50 | (38) cOMBC_277798809t_bool(all_355_18, n) = all_355_17
% 40.14/6.50 | (39) cOMBC_277798809t_bool(all_355_12, n) = all_355_11
% 40.14/6.50 | (40) cOMBS_867867294t_bool(all_355_13, all_355_3) = all_355_2
% 40.14/6.50 | (41) cOMBS_867867294t_bool(all_355_6, all_355_4) = all_355_3
% 40.14/6.50 | (42) cOMBC_1778077589t_bool(all_355_15, e) = all_355_14
% 40.14/6.50 | (43) cOMBC_1778077589t_bool(all_355_8, e) = all_355_7
% 40.14/6.50 | (44) cOMBC_1778077589t_bool(all_355_5, e) = all_355_4
% 40.14/6.50 | (45) cOMBB_1292070696e_indi(arrow_2077223396_mkbot, p) = all_355_5
% 40.14/6.50 | (46) cOMBB_1292070696e_indi(arrow_78446834_mktop, p) = all_355_15
% 40.14/6.50 | (47) cOMBS_102864562t_bool(all_355_16, all_355_14) = all_355_13
% 40.14/6.50 | (48) cOMBS_102864562t_bool(all_355_10, all_355_7) = all_355_6
% 40.14/6.50 | (49) cOMBC_493523632t_bool(all_355_9, c) = all_355_8
% 40.14/6.50 | (50) cOMBB_69933763e_indi(arrow_812378712_above, p) = all_355_9
% 40.14/6.50 | (51) cOMBB_963584201e_indi(if_fun1419651289t_bool, all_355_17) = all_355_16
% 40.14/6.50 | (52) cOMBB_963584201e_indi(if_fun1419651289t_bool, all_355_11) = all_355_10
% 40.14/6.50 | (53) cOMBB_317992461e_indi(ord_less_nat, h) = all_355_18
% 40.14/6.50 | (54) cOMBB_317992461e_indi(fequal_nat, h) = all_355_12
% 40.14/6.50 |
% 40.14/6.50 | DELTA: instantiating (7) with fresh symbols all_360_0, all_360_1, all_360_2,
% 40.14/6.50 | all_360_3, all_360_4, all_360_5, all_360_6, all_360_7, all_360_8,
% 40.14/6.50 | all_360_9, all_360_10, all_360_11, all_360_12, all_360_13, all_360_14,
% 40.14/6.50 | all_360_15, all_360_16, all_360_17, all_360_18, all_360_19, all_360_20
% 40.14/6.50 | gives:
% 40.14/6.51 | (55) cOMBB_317992461e_indi(fequal_nat, h) = all_360_12 &
% 40.14/6.51 | cOMBB_317992461e_indi(ord_less_nat, h) = all_360_18 &
% 40.14/6.51 | cOMBB_963584201e_indi(if_fun1419651289t_bool, all_360_11) = all_360_10
% 40.14/6.51 | & cOMBB_963584201e_indi(if_fun1419651289t_bool, all_360_17) =
% 40.14/6.51 | all_360_16 & cOMBB_69933763e_indi(arrow_812378712_above, p) =
% 40.14/6.51 | all_360_9 & cOMBC_493523632t_bool(all_360_9, c) = all_360_8 &
% 40.14/6.51 | cOMBS_102864562t_bool(all_360_10, all_360_7) = all_360_6 &
% 40.14/6.51 | cOMBS_102864562t_bool(all_360_16, all_360_14) = all_360_13 &
% 40.14/6.51 | cOMBB_1292070696e_indi(arrow_78446834_mktop, p) = all_360_15 &
% 40.14/6.51 | cOMBB_1292070696e_indi(arrow_2077223396_mkbot, p) = all_360_5 &
% 40.14/6.51 | cOMBC_1778077589t_bool(all_360_5, e) = all_360_4 &
% 40.14/6.51 | cOMBC_1778077589t_bool(all_360_8, e) = all_360_7 &
% 40.14/6.51 | cOMBC_1778077589t_bool(all_360_15, e) = all_360_14 &
% 40.14/6.51 | cOMBS_867867294t_bool(all_360_6, all_360_4) = all_360_3 &
% 40.14/6.51 | cOMBS_867867294t_bool(all_360_13, all_360_3) = all_360_2 &
% 40.14/6.51 | produc171383831le_alt(e, d) = all_360_20 & hBOOL(all_360_0) = 0 &
% 40.14/6.51 | member1056080916le_alt(all_360_20) = all_360_19 &
% 40.14/6.51 | hAPP_f745298353l_bool(all_360_19, all_360_1) = all_360_0 &
% 40.14/6.51 | hAPP_f695124765t_bool(f, all_360_2) = all_360_1 &
% 40.14/6.51 | cOMBC_277798809t_bool(all_360_12, n) = all_360_11 &
% 40.14/6.51 | cOMBC_277798809t_bool(all_360_18, n) = all_360_17 & $i(all_360_0) &
% 40.14/6.51 | $i(all_360_1) & $i(all_360_2) & $i(all_360_3) & $i(all_360_4) &
% 40.14/6.51 | $i(all_360_5) & $i(all_360_6) & $i(all_360_7) & $i(all_360_8) &
% 40.14/6.51 | $i(all_360_9) & $i(all_360_10) & $i(all_360_11) & $i(all_360_12) &
% 40.14/6.51 | $i(all_360_13) & $i(all_360_14) & $i(all_360_15) & $i(all_360_16) &
% 40.14/6.51 | $i(all_360_17) & $i(all_360_18) & $i(all_360_19) & $i(all_360_20)
% 40.14/6.51 |
% 40.14/6.51 | ALPHA: (55) implies:
% 40.14/6.51 | (56) cOMBC_277798809t_bool(all_360_18, n) = all_360_17
% 40.14/6.51 | (57) cOMBC_277798809t_bool(all_360_12, n) = all_360_11
% 40.14/6.51 | (58) hAPP_f695124765t_bool(f, all_360_2) = all_360_1
% 40.14/6.51 | (59) cOMBS_867867294t_bool(all_360_13, all_360_3) = all_360_2
% 40.14/6.51 | (60) cOMBS_867867294t_bool(all_360_6, all_360_4) = all_360_3
% 40.14/6.51 | (61) cOMBC_1778077589t_bool(all_360_15, e) = all_360_14
% 40.14/6.51 | (62) cOMBC_1778077589t_bool(all_360_8, e) = all_360_7
% 40.14/6.51 | (63) cOMBC_1778077589t_bool(all_360_5, e) = all_360_4
% 40.14/6.51 | (64) cOMBB_1292070696e_indi(arrow_2077223396_mkbot, p) = all_360_5
% 40.14/6.51 | (65) cOMBB_1292070696e_indi(arrow_78446834_mktop, p) = all_360_15
% 40.14/6.51 | (66) cOMBS_102864562t_bool(all_360_16, all_360_14) = all_360_13
% 40.14/6.51 | (67) cOMBS_102864562t_bool(all_360_10, all_360_7) = all_360_6
% 40.14/6.51 | (68) cOMBC_493523632t_bool(all_360_9, c) = all_360_8
% 40.14/6.51 | (69) cOMBB_69933763e_indi(arrow_812378712_above, p) = all_360_9
% 40.14/6.51 | (70) cOMBB_963584201e_indi(if_fun1419651289t_bool, all_360_17) = all_360_16
% 40.14/6.51 | (71) cOMBB_963584201e_indi(if_fun1419651289t_bool, all_360_11) = all_360_10
% 40.14/6.51 | (72) cOMBB_317992461e_indi(ord_less_nat, h) = all_360_18
% 40.14/6.51 | (73) cOMBB_317992461e_indi(fequal_nat, h) = all_360_12
% 40.14/6.51 |
% 40.14/6.51 | DELTA: instantiating (6) with fresh symbols all_362_0, all_362_1, all_362_2,
% 40.14/6.51 | all_362_3, all_362_4, all_362_5, all_362_6, all_362_7, all_362_8,
% 40.14/6.51 | all_362_9, all_362_10, all_362_11, all_362_12, all_362_13, all_362_14,
% 40.14/6.51 | all_362_15, all_362_16, all_362_17, all_362_18, all_362_19, all_362_20
% 40.14/6.51 | gives:
% 40.14/6.51 | (74) cOMBB_317992461e_indi(fequal_nat, h) = all_362_12 &
% 40.14/6.51 | cOMBB_317992461e_indi(ord_less_nat, h) = all_362_18 &
% 40.14/6.51 | cOMBB_963584201e_indi(if_fun1419651289t_bool, all_362_11) = all_362_10
% 40.14/6.51 | & cOMBB_963584201e_indi(if_fun1419651289t_bool, all_362_17) =
% 40.14/6.51 | all_362_16 & cOMBB_69933763e_indi(arrow_812378712_above, p) =
% 40.14/6.51 | all_362_9 & cOMBC_493523632t_bool(all_362_9, c) = all_362_8 &
% 40.14/6.51 | cOMBS_102864562t_bool(all_362_10, all_362_7) = all_362_6 &
% 40.14/6.51 | cOMBS_102864562t_bool(all_362_16, all_362_14) = all_362_13 &
% 40.14/6.51 | cOMBB_1292070696e_indi(arrow_78446834_mktop, p) = all_362_15 &
% 40.14/6.51 | cOMBB_1292070696e_indi(arrow_2077223396_mkbot, p) = all_362_5 &
% 40.14/6.51 | cOMBC_1778077589t_bool(all_362_5, e) = all_362_4 &
% 40.14/6.51 | cOMBC_1778077589t_bool(all_362_8, e) = all_362_7 &
% 40.14/6.51 | cOMBC_1778077589t_bool(all_362_15, e) = all_362_14 &
% 40.14/6.51 | cOMBS_867867294t_bool(all_362_6, all_362_4) = all_362_3 &
% 40.14/6.51 | cOMBS_867867294t_bool(all_362_13, all_362_3) = all_362_2 &
% 40.14/6.51 | produc171383831le_alt(c, e) = all_362_20 & hBOOL(all_362_0) = 0 &
% 40.14/6.51 | member1056080916le_alt(all_362_20) = all_362_19 &
% 40.14/6.51 | hAPP_f745298353l_bool(all_362_19, all_362_1) = all_362_0 &
% 40.14/6.51 | hAPP_f695124765t_bool(f, all_362_2) = all_362_1 &
% 40.14/6.51 | cOMBC_277798809t_bool(all_362_12, n) = all_362_11 &
% 40.14/6.51 | cOMBC_277798809t_bool(all_362_18, n) = all_362_17 & $i(all_362_0) &
% 40.14/6.51 | $i(all_362_1) & $i(all_362_2) & $i(all_362_3) & $i(all_362_4) &
% 40.14/6.51 | $i(all_362_5) & $i(all_362_6) & $i(all_362_7) & $i(all_362_8) &
% 40.14/6.51 | $i(all_362_9) & $i(all_362_10) & $i(all_362_11) & $i(all_362_12) &
% 40.14/6.51 | $i(all_362_13) & $i(all_362_14) & $i(all_362_15) & $i(all_362_16) &
% 40.14/6.51 | $i(all_362_17) & $i(all_362_18) & $i(all_362_19) & $i(all_362_20)
% 40.14/6.51 |
% 40.14/6.51 | ALPHA: (74) implies:
% 40.14/6.51 | (75) cOMBC_277798809t_bool(all_362_18, n) = all_362_17
% 40.14/6.51 | (76) cOMBC_277798809t_bool(all_362_12, n) = all_362_11
% 40.14/6.51 | (77) hAPP_f695124765t_bool(f, all_362_2) = all_362_1
% 40.14/6.51 | (78) cOMBS_867867294t_bool(all_362_13, all_362_3) = all_362_2
% 40.14/6.51 | (79) cOMBS_867867294t_bool(all_362_6, all_362_4) = all_362_3
% 40.14/6.51 | (80) cOMBC_1778077589t_bool(all_362_15, e) = all_362_14
% 40.14/6.51 | (81) cOMBC_1778077589t_bool(all_362_8, e) = all_362_7
% 40.14/6.51 | (82) cOMBC_1778077589t_bool(all_362_5, e) = all_362_4
% 40.14/6.51 | (83) cOMBB_1292070696e_indi(arrow_2077223396_mkbot, p) = all_362_5
% 40.14/6.51 | (84) cOMBB_1292070696e_indi(arrow_78446834_mktop, p) = all_362_15
% 40.14/6.51 | (85) cOMBS_102864562t_bool(all_362_16, all_362_14) = all_362_13
% 40.14/6.51 | (86) cOMBS_102864562t_bool(all_362_10, all_362_7) = all_362_6
% 40.14/6.51 | (87) cOMBC_493523632t_bool(all_362_9, c) = all_362_8
% 40.14/6.51 | (88) cOMBB_69933763e_indi(arrow_812378712_above, p) = all_362_9
% 40.14/6.51 | (89) cOMBB_963584201e_indi(if_fun1419651289t_bool, all_362_17) = all_362_16
% 40.14/6.51 | (90) cOMBB_963584201e_indi(if_fun1419651289t_bool, all_362_11) = all_362_10
% 40.14/6.51 | (91) cOMBB_317992461e_indi(ord_less_nat, h) = all_362_18
% 40.14/6.51 | (92) cOMBB_317992461e_indi(fequal_nat, h) = all_362_12
% 40.14/6.51 |
% 40.14/6.51 | DELTA: instantiating (3) with fresh symbols all_364_0, all_364_1, all_364_2,
% 40.14/6.51 | all_364_3, all_364_4, all_364_5, all_364_6, all_364_7, all_364_8,
% 40.14/6.51 | all_364_9, all_364_10, all_364_11, all_364_12, all_364_13, all_364_14,
% 40.14/6.51 | all_364_15, all_364_16, all_364_17, all_364_18, all_364_19, all_364_20
% 40.14/6.51 | gives:
% 40.14/6.51 | (93) cOMBB_317992461e_indi(fequal_nat, h) = all_364_12 &
% 40.14/6.51 | cOMBB_317992461e_indi(ord_less_nat, h) = all_364_18 &
% 40.14/6.51 | cOMBB_963584201e_indi(if_fun1419651289t_bool, all_364_11) = all_364_10
% 40.14/6.51 | & cOMBB_963584201e_indi(if_fun1419651289t_bool, all_364_17) =
% 40.14/6.51 | all_364_16 & cOMBB_69933763e_indi(arrow_812378712_above, p) =
% 40.14/6.51 | all_364_9 & cOMBC_493523632t_bool(all_364_9, c) = all_364_8 &
% 40.14/6.51 | cOMBS_102864562t_bool(all_364_10, all_364_7) = all_364_6 &
% 40.14/6.51 | cOMBS_102864562t_bool(all_364_16, all_364_14) = all_364_13 &
% 40.14/6.51 | cOMBB_1292070696e_indi(arrow_78446834_mktop, p) = all_364_15 &
% 40.14/6.51 | cOMBB_1292070696e_indi(arrow_2077223396_mkbot, p) = all_364_5 &
% 40.14/6.51 | cOMBC_1778077589t_bool(all_364_5, e) = all_364_4 &
% 40.14/6.51 | cOMBC_1778077589t_bool(all_364_8, e) = all_364_7 &
% 40.14/6.51 | cOMBC_1778077589t_bool(all_364_15, e) = all_364_14 &
% 40.14/6.51 | cOMBS_867867294t_bool(all_364_6, all_364_4) = all_364_3 &
% 40.14/6.51 | cOMBS_867867294t_bool(all_364_13, all_364_3) = all_364_2 &
% 40.14/6.51 | produc171383831le_alt(c, d) = all_364_20 & hBOOL(all_364_0) = 0 &
% 40.14/6.51 | member1056080916le_alt(all_364_20) = all_364_19 &
% 40.14/6.51 | hAPP_f745298353l_bool(all_364_19, all_364_1) = all_364_0 &
% 40.14/6.51 | hAPP_f695124765t_bool(f, all_364_2) = all_364_1 &
% 40.14/6.51 | cOMBC_277798809t_bool(all_364_12, n) = all_364_11 &
% 40.14/6.51 | cOMBC_277798809t_bool(all_364_18, n) = all_364_17 & $i(all_364_0) &
% 40.14/6.51 | $i(all_364_1) & $i(all_364_2) & $i(all_364_3) & $i(all_364_4) &
% 40.14/6.51 | $i(all_364_5) & $i(all_364_6) & $i(all_364_7) & $i(all_364_8) &
% 40.14/6.51 | $i(all_364_9) & $i(all_364_10) & $i(all_364_11) & $i(all_364_12) &
% 40.14/6.51 | $i(all_364_13) & $i(all_364_14) & $i(all_364_15) & $i(all_364_16) &
% 40.14/6.51 | $i(all_364_17) & $i(all_364_18) & $i(all_364_19) & $i(all_364_20)
% 40.14/6.51 |
% 40.14/6.51 | ALPHA: (93) implies:
% 40.14/6.51 | (94) cOMBC_277798809t_bool(all_364_18, n) = all_364_17
% 40.14/6.51 | (95) cOMBC_277798809t_bool(all_364_12, n) = all_364_11
% 40.14/6.51 | (96) hAPP_f695124765t_bool(f, all_364_2) = all_364_1
% 40.14/6.51 | (97) hAPP_f745298353l_bool(all_364_19, all_364_1) = all_364_0
% 40.14/6.51 | (98) member1056080916le_alt(all_364_20) = all_364_19
% 40.14/6.51 | (99) hBOOL(all_364_0) = 0
% 40.14/6.51 | (100) produc171383831le_alt(c, d) = all_364_20
% 40.14/6.51 | (101) cOMBS_867867294t_bool(all_364_13, all_364_3) = all_364_2
% 40.14/6.51 | (102) cOMBS_867867294t_bool(all_364_6, all_364_4) = all_364_3
% 40.14/6.51 | (103) cOMBC_1778077589t_bool(all_364_15, e) = all_364_14
% 40.14/6.51 | (104) cOMBC_1778077589t_bool(all_364_8, e) = all_364_7
% 40.14/6.51 | (105) cOMBC_1778077589t_bool(all_364_5, e) = all_364_4
% 40.14/6.51 | (106) cOMBB_1292070696e_indi(arrow_2077223396_mkbot, p) = all_364_5
% 40.14/6.51 | (107) cOMBB_1292070696e_indi(arrow_78446834_mktop, p) = all_364_15
% 40.14/6.51 | (108) cOMBS_102864562t_bool(all_364_16, all_364_14) = all_364_13
% 40.14/6.51 | (109) cOMBS_102864562t_bool(all_364_10, all_364_7) = all_364_6
% 40.14/6.51 | (110) cOMBC_493523632t_bool(all_364_9, c) = all_364_8
% 40.14/6.51 | (111) cOMBB_69933763e_indi(arrow_812378712_above, p) = all_364_9
% 40.14/6.51 | (112) cOMBB_963584201e_indi(if_fun1419651289t_bool, all_364_17) =
% 40.14/6.51 | all_364_16
% 40.14/6.51 | (113) cOMBB_963584201e_indi(if_fun1419651289t_bool, all_364_11) =
% 40.14/6.51 | all_364_10
% 40.14/6.52 | (114) cOMBB_317992461e_indi(ord_less_nat, h) = all_364_18
% 40.14/6.52 | (115) cOMBB_317992461e_indi(fequal_nat, h) = all_364_12
% 40.14/6.52 |
% 40.14/6.52 | DELTA: instantiating (4) with fresh symbols all_366_0, all_366_1, all_366_2,
% 40.14/6.52 | all_366_3, all_366_4, all_366_5, all_366_6, all_366_7, all_366_8,
% 40.14/6.52 | all_366_9, all_366_10, all_366_11, all_366_12, all_366_13, all_366_14,
% 40.14/6.52 | all_366_15, all_366_16, all_366_17, all_366_18, all_366_19, all_366_20,
% 40.14/6.52 | all_366_21, all_366_22, all_366_23, all_366_24 gives:
% 40.14/6.52 | (116) cOMBB_317992461e_indi(fequal_nat, h) = all_366_13 &
% 40.14/6.52 | cOMBB_317992461e_indi(ord_less_nat, h) = all_366_19 &
% 40.14/6.52 | cOMBB_963584201e_indi(if_fun1419651289t_bool, all_366_12) =
% 40.14/6.52 | all_366_11 & cOMBB_963584201e_indi(if_fun1419651289t_bool,
% 40.14/6.52 | all_366_18) = all_366_17 &
% 40.14/6.52 | cOMBB_69933763e_indi(arrow_812378712_above, p) = all_366_10 &
% 40.14/6.52 | cOMBC_493523632t_bool(all_366_10, c) = all_366_9 &
% 40.14/6.52 | cOMBS_102864562t_bool(all_366_11, all_366_8) = all_366_7 &
% 40.14/6.52 | cOMBS_102864562t_bool(all_366_17, all_366_15) = all_366_14 &
% 40.14/6.52 | cOMBB_1292070696e_indi(arrow_78446834_mktop, p) = all_366_16 &
% 40.14/6.52 | cOMBB_1292070696e_indi(arrow_2077223396_mkbot, p) = all_366_6 &
% 40.14/6.52 | cOMBC_1778077589t_bool(all_366_6, e) = all_366_5 &
% 40.14/6.52 | cOMBC_1778077589t_bool(all_366_9, e) = all_366_8 &
% 40.14/6.52 | cOMBC_1778077589t_bool(all_366_16, e) = all_366_15 &
% 40.14/6.52 | cOMBS_867867294t_bool(all_366_7, all_366_5) = all_366_4 &
% 40.14/6.52 | cOMBS_867867294t_bool(all_366_14, all_366_4) = all_366_3 &
% 40.14/6.52 | produc171383831le_alt(c, d) = all_366_24 & hBOOL(all_366_1) =
% 40.14/6.52 | all_366_0 & hBOOL(all_366_21) = all_366_20 &
% 40.14/6.52 | member1056080916le_alt(all_366_24) = all_366_23 &
% 40.14/6.52 | hAPP_f745298353l_bool(all_366_23, all_366_2) = all_366_1 &
% 40.37/6.52 | hAPP_f745298353l_bool(all_366_23, all_366_22) = all_366_21 &
% 40.37/6.52 | hAPP_f695124765t_bool(f, all_366_3) = all_366_2 &
% 40.37/6.52 | hAPP_f695124765t_bool(f, p) = all_366_22 &
% 40.37/6.52 | cOMBC_277798809t_bool(all_366_13, n) = all_366_12 &
% 40.37/6.52 | cOMBC_277798809t_bool(all_366_19, n) = all_366_18 & $i(all_366_1) &
% 40.37/6.52 | $i(all_366_2) & $i(all_366_3) & $i(all_366_4) & $i(all_366_5) &
% 40.37/6.52 | $i(all_366_6) & $i(all_366_7) & $i(all_366_8) & $i(all_366_9) &
% 40.37/6.52 | $i(all_366_10) & $i(all_366_11) & $i(all_366_12) & $i(all_366_13) &
% 40.37/6.52 | $i(all_366_14) & $i(all_366_15) & $i(all_366_16) & $i(all_366_17) &
% 40.37/6.52 | $i(all_366_18) & $i(all_366_19) & $i(all_366_21) & $i(all_366_22) &
% 40.37/6.52 | $i(all_366_23) & $i(all_366_24) & ((all_366_0 = 0 & all_366_20 = 0) |
% 40.37/6.52 | ( ~ (all_366_0 = 0) & ~ (all_366_20 = 0)))
% 40.37/6.52 |
% 40.37/6.52 | ALPHA: (116) implies:
% 40.37/6.52 | (117) cOMBC_277798809t_bool(all_366_19, n) = all_366_18
% 40.37/6.52 | (118) cOMBC_277798809t_bool(all_366_13, n) = all_366_12
% 40.37/6.52 | (119) hAPP_f695124765t_bool(f, p) = all_366_22
% 40.37/6.52 | (120) hAPP_f695124765t_bool(f, all_366_3) = all_366_2
% 40.37/6.52 | (121) hAPP_f745298353l_bool(all_366_23, all_366_22) = all_366_21
% 40.37/6.52 | (122) hAPP_f745298353l_bool(all_366_23, all_366_2) = all_366_1
% 40.37/6.52 | (123) member1056080916le_alt(all_366_24) = all_366_23
% 40.37/6.52 | (124) hBOOL(all_366_21) = all_366_20
% 40.37/6.52 | (125) hBOOL(all_366_1) = all_366_0
% 40.37/6.52 | (126) produc171383831le_alt(c, d) = all_366_24
% 40.37/6.52 | (127) cOMBS_867867294t_bool(all_366_14, all_366_4) = all_366_3
% 40.37/6.52 | (128) cOMBS_867867294t_bool(all_366_7, all_366_5) = all_366_4
% 40.37/6.52 | (129) cOMBC_1778077589t_bool(all_366_16, e) = all_366_15
% 40.37/6.52 | (130) cOMBC_1778077589t_bool(all_366_9, e) = all_366_8
% 40.37/6.52 | (131) cOMBC_1778077589t_bool(all_366_6, e) = all_366_5
% 40.37/6.52 | (132) cOMBB_1292070696e_indi(arrow_2077223396_mkbot, p) = all_366_6
% 40.37/6.52 | (133) cOMBB_1292070696e_indi(arrow_78446834_mktop, p) = all_366_16
% 40.37/6.52 | (134) cOMBS_102864562t_bool(all_366_17, all_366_15) = all_366_14
% 40.37/6.52 | (135) cOMBS_102864562t_bool(all_366_11, all_366_8) = all_366_7
% 40.37/6.52 | (136) cOMBC_493523632t_bool(all_366_10, c) = all_366_9
% 40.37/6.52 | (137) cOMBB_69933763e_indi(arrow_812378712_above, p) = all_366_10
% 40.37/6.52 | (138) cOMBB_963584201e_indi(if_fun1419651289t_bool, all_366_18) =
% 40.37/6.52 | all_366_17
% 40.37/6.52 | (139) cOMBB_963584201e_indi(if_fun1419651289t_bool, all_366_12) =
% 40.37/6.52 | all_366_11
% 40.37/6.52 | (140) cOMBB_317992461e_indi(ord_less_nat, h) = all_366_19
% 40.37/6.52 | (141) cOMBB_317992461e_indi(fequal_nat, h) = all_366_13
% 40.37/6.52 | (142) (all_366_0 = 0 & all_366_20 = 0) | ( ~ (all_366_0 = 0) & ~
% 40.37/6.52 | (all_366_20 = 0))
% 40.37/6.52 |
% 40.37/6.52 | DELTA: instantiating (9) with fresh symbols all_368_0, all_368_1, all_368_2,
% 40.37/6.52 | all_368_3, all_368_4, all_368_5, all_368_6, all_368_7, all_368_8,
% 40.37/6.52 | all_368_9, all_368_10, all_368_11, all_368_12, all_368_13, all_368_14,
% 40.37/6.52 | all_368_15, all_368_16, all_368_17, all_368_18, all_368_19, all_368_20,
% 40.37/6.52 | all_368_21, all_368_22, all_368_23, all_368_24, all_368_25, all_368_26,
% 40.37/6.52 | all_368_27, all_368_28 gives:
% 40.37/6.52 | (143) cOMBC_481590946t_bool(all_368_24, lab) = all_368_4 &
% 40.37/6.52 | cOMBC_437064334t_bool(all_368_4, lba) = all_368_3 &
% 40.37/6.52 | cOMBB_317992461e_indi(fequal_nat, h) = all_368_20 &
% 40.37/6.52 | cOMBB_317992461e_indi(ord_less_nat, h) = all_368_26 &
% 40.37/6.52 | cOMBB_963584201e_indi(if_fun1419651289t_bool, all_368_19) =
% 40.37/6.52 | all_368_18 & cOMBB_963584201e_indi(if_fun1419651289t_bool,
% 40.37/6.52 | all_368_25) = all_368_24 &
% 40.37/6.52 | cOMBB_69933763e_indi(arrow_812378712_above, p) = all_368_17 &
% 40.37/6.52 | cOMBC_493523632t_bool(all_368_17, c) = all_368_16 &
% 40.37/6.52 | cOMBS_102864562t_bool(all_368_18, all_368_15) = all_368_14 &
% 40.37/6.52 | cOMBS_102864562t_bool(all_368_24, all_368_22) = all_368_21 &
% 40.37/6.52 | cOMBB_1292070696e_indi(arrow_78446834_mktop, p) = all_368_23 &
% 40.37/6.52 | cOMBB_1292070696e_indi(arrow_2077223396_mkbot, p) = all_368_13 &
% 40.37/6.52 | cOMBC_1778077589t_bool(all_368_13, e) = all_368_12 &
% 40.37/6.52 | cOMBC_1778077589t_bool(all_368_16, e) = all_368_15 &
% 40.37/6.52 | cOMBC_1778077589t_bool(all_368_23, e) = all_368_22 &
% 40.37/6.52 | cOMBS_867867294t_bool(all_368_14, all_368_12) = all_368_11 &
% 40.37/6.52 | cOMBS_867867294t_bool(all_368_21, all_368_11) = all_368_10 &
% 40.37/6.52 | produc171383831le_alt(e, d) = all_368_28 & produc171383831le_alt(b,
% 40.37/6.52 | a) = all_368_6 & hBOOL(all_368_1) = all_368_0 & hBOOL(all_368_8) =
% 40.37/6.52 | all_368_7 & member1056080916le_alt(all_368_6) = all_368_5 &
% 40.37/6.52 | member1056080916le_alt(all_368_28) = all_368_27 &
% 40.37/6.52 | hAPP_f745298353l_bool(all_368_5, all_368_2) = all_368_1 &
% 40.37/6.52 | hAPP_f745298353l_bool(all_368_27, all_368_9) = all_368_8 &
% 40.37/6.52 | hAPP_f695124765t_bool(f, all_368_3) = all_368_2 &
% 40.37/6.52 | hAPP_f695124765t_bool(f, all_368_10) = all_368_9 &
% 40.37/6.52 | cOMBC_277798809t_bool(all_368_20, n) = all_368_19 &
% 40.37/6.52 | cOMBC_277798809t_bool(all_368_26, n) = all_368_25 & $i(all_368_1) &
% 40.37/6.52 | $i(all_368_2) & $i(all_368_3) & $i(all_368_4) & $i(all_368_5) &
% 40.37/6.52 | $i(all_368_6) & $i(all_368_8) & $i(all_368_9) & $i(all_368_10) &
% 40.37/6.52 | $i(all_368_11) & $i(all_368_12) & $i(all_368_13) & $i(all_368_14) &
% 40.37/6.52 | $i(all_368_15) & $i(all_368_16) & $i(all_368_17) & $i(all_368_18) &
% 40.37/6.52 | $i(all_368_19) & $i(all_368_20) & $i(all_368_21) & $i(all_368_22) &
% 40.37/6.52 | $i(all_368_23) & $i(all_368_24) & $i(all_368_25) & $i(all_368_26) &
% 40.37/6.52 | $i(all_368_27) & $i(all_368_28) & ((all_368_0 = 0 & all_368_7 = 0) |
% 40.37/6.52 | ( ~ (all_368_0 = 0) & ~ (all_368_7 = 0)))
% 40.37/6.52 |
% 40.37/6.52 | ALPHA: (143) implies:
% 40.37/6.52 | (144) cOMBC_277798809t_bool(all_368_26, n) = all_368_25
% 40.37/6.52 | (145) cOMBC_277798809t_bool(all_368_20, n) = all_368_19
% 40.37/6.52 | (146) hAPP_f695124765t_bool(f, all_368_10) = all_368_9
% 40.37/6.52 | (147) cOMBS_867867294t_bool(all_368_21, all_368_11) = all_368_10
% 40.37/6.52 | (148) cOMBS_867867294t_bool(all_368_14, all_368_12) = all_368_11
% 40.37/6.52 | (149) cOMBC_1778077589t_bool(all_368_23, e) = all_368_22
% 40.37/6.52 | (150) cOMBC_1778077589t_bool(all_368_16, e) = all_368_15
% 40.37/6.52 | (151) cOMBC_1778077589t_bool(all_368_13, e) = all_368_12
% 40.37/6.52 | (152) cOMBB_1292070696e_indi(arrow_2077223396_mkbot, p) = all_368_13
% 40.37/6.52 | (153) cOMBB_1292070696e_indi(arrow_78446834_mktop, p) = all_368_23
% 40.37/6.52 | (154) cOMBS_102864562t_bool(all_368_24, all_368_22) = all_368_21
% 40.37/6.52 | (155) cOMBS_102864562t_bool(all_368_18, all_368_15) = all_368_14
% 40.37/6.52 | (156) cOMBC_493523632t_bool(all_368_17, c) = all_368_16
% 40.37/6.52 | (157) cOMBB_69933763e_indi(arrow_812378712_above, p) = all_368_17
% 40.37/6.52 | (158) cOMBB_963584201e_indi(if_fun1419651289t_bool, all_368_25) =
% 40.37/6.52 | all_368_24
% 40.37/6.52 | (159) cOMBB_963584201e_indi(if_fun1419651289t_bool, all_368_19) =
% 40.37/6.52 | all_368_18
% 40.37/6.52 | (160) cOMBB_317992461e_indi(ord_less_nat, h) = all_368_26
% 40.37/6.52 | (161) cOMBB_317992461e_indi(fequal_nat, h) = all_368_20
% 40.37/6.52 |
% 40.37/6.52 | DELTA: instantiating (1) with fresh symbols all_370_0, all_370_1 gives:
% 40.37/6.53 | (162) produc171383831le_alt(c, d) = all_370_1 &
% 40.37/6.53 | member1056080916le_alt(all_370_1) = all_370_0 & $i(all_370_0) &
% 40.37/6.53 | $i(all_370_1) & ! [v0: $i] : ! [v1: $i] : ( ~
% 40.37/6.53 | (hAPP_A588601142di_nat(h, v0) = v1) | ~ $i(v0) | ? [v2: $i] : ?
% 40.37/6.53 | [v3: $i] : ? [v4: any] : ? [v5: $i] : ? [v6: $i] : ? [v7: any]
% 40.37/6.53 | : ? [v8: $i] : ? [v9: $i] : ? [v10: $i] : ? [v11: any] : ?
% 40.37/6.53 | [v12: $i] : ? [v13: $i] : ? [v14: $i] : ? [v15: $i] : ? [v16:
% 40.37/6.53 | any] : ? [v17: $i] : ? [v18: $i] : ? [v19: $i] : ? [v20: any]
% 40.37/6.53 | : (hAPP_n1699378549t_bool(ord_less_nat, v1) = v5 &
% 40.37/6.53 | hAPP_f1336478923t_bool(arrow_812378712_above, v2) = v12 &
% 40.37/6.53 | hAPP_A384644407t_bool(v12, c) = v13 &
% 40.37/6.53 | hAPP_f1290184496t_bool(arrow_78446834_mktop, v2) = v8 &
% 40.37/6.53 | hAPP_f1290184496t_bool(arrow_2077223396_mkbot, v2) = v17 &
% 40.37/6.53 | hBOOL(v19) = v20 & hBOOL(v15) = v16 & hBOOL(v10) = v11 &
% 40.37/6.53 | hBOOL(v6) = v7 & hBOOL(v3) = v4 &
% 40.37/6.53 | hAPP_f745298353l_bool(all_370_0, v18) = v19 &
% 40.37/6.53 | hAPP_f745298353l_bool(all_370_0, v14) = v15 &
% 40.37/6.53 | hAPP_f745298353l_bool(all_370_0, v9) = v10 &
% 40.37/6.53 | hAPP_f745298353l_bool(all_370_0, v2) = v3 & hAPP_nat_bool(v5, n)
% 40.37/6.53 | = v6 & hAPP_A1374816149t_bool(p, v0) = v2 &
% 40.37/6.53 | hAPP_A619995676t_bool(v17, e) = v18 & hAPP_A619995676t_bool(v13,
% 40.37/6.53 | e) = v14 & hAPP_A619995676t_bool(v8, e) = v9 & $i(v19) &
% 40.37/6.53 | $i(v18) & $i(v17) & $i(v15) & $i(v14) & $i(v13) & $i(v12) &
% 40.37/6.53 | $i(v10) & $i(v9) & $i(v8) & $i(v6) & $i(v5) & $i(v3) & $i(v2) & (
% 40.37/6.53 | ~ (v4 = 0) | (( ~ (v7 = 0) | v11 = 0) & (v7 = 0 | (( ~ (v1 = n)
% 40.37/6.53 | | v16 = 0) & (v20 = 0 | v1 = n))))))) & ! [v0: $i] :
% 40.37/6.53 | ! [v1: $i] : ( ~ (hAPP_A588601142di_nat(h, v0) = v1) | ~ $i(v0) | ?
% 40.37/6.53 | [v2: $i] : ? [v3: $i] : ? [v4: any] : ? [v5: $i] : ? [v6: $i] :
% 40.37/6.53 | ? [v7: $i] : ? [v8: $i] : ? [v9: any] : ? [v10: $i] : ? [v11:
% 40.37/6.53 | $i] : ? [v12: $i] : ? [v13: $i] : ? [v14: any] : ? [v15: $i]
% 40.37/6.53 | : ? [v16: $i] : ? [v17: $i] : ? [v18: any] : ? [v19: $i] : ?
% 40.37/6.53 | [v20: any] : (hAPP_n1699378549t_bool(ord_less_nat, v1) = v2 &
% 40.37/6.53 | hAPP_f1336478923t_bool(arrow_812378712_above, v5) = v10 &
% 40.37/6.53 | hAPP_A384644407t_bool(v10, c) = v11 &
% 40.37/6.53 | hAPP_f1290184496t_bool(arrow_78446834_mktop, v5) = v6 &
% 40.37/6.53 | hAPP_f1290184496t_bool(arrow_2077223396_mkbot, v5) = v15 &
% 40.37/6.53 | hBOOL(v19) = v20 & hBOOL(v17) = v18 & hBOOL(v13) = v14 &
% 40.37/6.53 | hBOOL(v8) = v9 & hBOOL(v3) = v4 &
% 40.37/6.53 | hAPP_f745298353l_bool(all_370_0, v16) = v17 &
% 40.37/6.53 | hAPP_f745298353l_bool(all_370_0, v12) = v13 &
% 40.37/6.53 | hAPP_f745298353l_bool(all_370_0, v7) = v8 &
% 40.37/6.53 | hAPP_f745298353l_bool(all_370_0, v5) = v19 & hAPP_nat_bool(v2, n)
% 40.37/6.53 | = v3 & hAPP_A1374816149t_bool(p, v0) = v5 &
% 40.37/6.53 | hAPP_A619995676t_bool(v15, e) = v16 & hAPP_A619995676t_bool(v11,
% 40.37/6.53 | e) = v12 & hAPP_A619995676t_bool(v6, e) = v7 & $i(v19) &
% 40.37/6.53 | $i(v17) & $i(v16) & $i(v15) & $i(v13) & $i(v12) & $i(v11) &
% 40.37/6.53 | $i(v10) & $i(v8) & $i(v7) & $i(v6) & $i(v5) & $i(v3) & $i(v2) &
% 40.37/6.53 | (v20 = 0 | (v4 = 0 & ~ (v9 = 0)) | ( ~ (v4 = 0) & ((v1 = n & ~
% 40.37/6.53 | (v14 = 0)) | ( ~ (v18 = 0) & ~ (v1 = n)))))))
% 40.37/6.53 |
% 40.37/6.53 | ALPHA: (162) implies:
% 40.37/6.53 | (163) member1056080916le_alt(all_370_1) = all_370_0
% 40.37/6.53 | (164) produc171383831le_alt(c, d) = all_370_1
% 40.37/6.53 |
% 40.37/6.53 | GROUND_INST: instantiating (14) with all_343_2, all_366_22, p, f, simplifying
% 40.37/6.53 | with (27), (119) gives:
% 40.37/6.53 | (165) all_366_22 = all_343_2
% 40.37/6.53 |
% 40.37/6.53 | GROUND_INST: instantiating (16) with all_364_20, all_366_24, d, c, simplifying
% 40.37/6.53 | with (100), (126) gives:
% 40.37/6.53 | (166) all_366_24 = all_364_20
% 40.37/6.53 |
% 40.37/6.53 | GROUND_INST: instantiating (16) with all_345_5, all_366_24, d, c, simplifying
% 40.37/6.53 | with (34), (126) gives:
% 40.37/6.53 | (167) all_366_24 = all_345_5
% 40.37/6.53 |
% 40.37/6.53 | GROUND_INST: instantiating (16) with all_364_20, all_370_1, d, c, simplifying
% 40.37/6.53 | with (100), (164) gives:
% 40.37/6.53 | (168) all_370_1 = all_364_20
% 40.37/6.53 |
% 40.37/6.53 | GROUND_INST: instantiating (16) with all_343_4, all_370_1, d, c, simplifying
% 40.37/6.53 | with (31), (164) gives:
% 40.37/6.53 | (169) all_370_1 = all_343_4
% 40.37/6.53 |
% 40.37/6.53 | GROUND_INST: instantiating (19) with all_360_5, all_364_5, p,
% 40.37/6.53 | arrow_2077223396_mkbot, simplifying with (64), (106) gives:
% 40.37/6.53 | (170) all_364_5 = all_360_5
% 40.37/6.53 |
% 40.37/6.53 | GROUND_INST: instantiating (19) with all_364_5, all_366_6, p,
% 40.37/6.53 | arrow_2077223396_mkbot, simplifying with (106), (132) gives:
% 40.37/6.53 | (171) all_366_6 = all_364_5
% 40.37/6.53 |
% 40.37/6.53 | GROUND_INST: instantiating (19) with all_362_5, all_366_6, p,
% 40.37/6.53 | arrow_2077223396_mkbot, simplifying with (83), (132) gives:
% 40.37/6.53 | (172) all_366_6 = all_362_5
% 40.37/6.53 |
% 40.37/6.53 | GROUND_INST: instantiating (19) with all_364_5, all_368_13, p,
% 40.37/6.53 | arrow_2077223396_mkbot, simplifying with (106), (152) gives:
% 40.37/6.53 | (173) all_368_13 = all_364_5
% 40.37/6.53 |
% 40.37/6.53 | GROUND_INST: instantiating (19) with all_355_5, all_368_13, p,
% 40.37/6.53 | arrow_2077223396_mkbot, simplifying with (45), (152) gives:
% 40.37/6.53 | (174) all_368_13 = all_355_5
% 40.37/6.53 |
% 40.37/6.53 | GROUND_INST: instantiating (19) with all_364_15, all_366_16, p,
% 40.37/6.53 | arrow_78446834_mktop, simplifying with (107), (133) gives:
% 40.37/6.53 | (175) all_366_16 = all_364_15
% 40.37/6.53 |
% 40.37/6.53 | GROUND_INST: instantiating (19) with all_360_15, all_366_16, p,
% 40.37/6.53 | arrow_78446834_mktop, simplifying with (65), (133) gives:
% 40.37/6.53 | (176) all_366_16 = all_360_15
% 40.37/6.53 |
% 40.37/6.53 | GROUND_INST: instantiating (19) with all_364_15, all_368_23, p,
% 40.37/6.53 | arrow_78446834_mktop, simplifying with (107), (153) gives:
% 40.37/6.53 | (177) all_368_23 = all_364_15
% 40.37/6.53 |
% 40.37/6.53 | GROUND_INST: instantiating (19) with all_362_15, all_368_23, p,
% 40.37/6.53 | arrow_78446834_mktop, simplifying with (84), (153) gives:
% 40.37/6.53 | (178) all_368_23 = all_362_15
% 40.37/6.53 |
% 40.37/6.53 | GROUND_INST: instantiating (19) with all_355_15, all_368_23, p,
% 40.37/6.53 | arrow_78446834_mktop, simplifying with (46), (153) gives:
% 40.37/6.53 | (179) all_368_23 = all_355_15
% 40.37/6.53 |
% 40.37/6.53 | GROUND_INST: instantiating (22) with all_360_9, all_362_9, p,
% 40.37/6.53 | arrow_812378712_above, simplifying with (69), (88) gives:
% 40.37/6.53 | (180) all_362_9 = all_360_9
% 40.37/6.53 |
% 40.37/6.53 | GROUND_INST: instantiating (22) with all_362_9, all_364_9, p,
% 40.37/6.53 | arrow_812378712_above, simplifying with (88), (111) gives:
% 40.37/6.53 | (181) all_364_9 = all_362_9
% 40.37/6.53 |
% 40.37/6.53 | GROUND_INST: instantiating (22) with all_364_9, all_366_10, p,
% 40.37/6.53 | arrow_812378712_above, simplifying with (111), (137) gives:
% 40.37/6.53 | (182) all_366_10 = all_364_9
% 40.37/6.53 |
% 40.37/6.53 | GROUND_INST: instantiating (22) with all_366_10, all_368_17, p,
% 40.37/6.53 | arrow_812378712_above, simplifying with (137), (157) gives:
% 40.37/6.53 | (183) all_368_17 = all_366_10
% 40.37/6.53 |
% 40.37/6.53 | GROUND_INST: instantiating (22) with all_355_9, all_368_17, p,
% 40.37/6.53 | arrow_812378712_above, simplifying with (50), (157) gives:
% 40.37/6.53 | (184) all_368_17 = all_355_9
% 40.37/6.53 |
% 40.37/6.53 | GROUND_INST: instantiating (24) with all_362_18, all_364_18, h, ord_less_nat,
% 40.37/6.53 | simplifying with (91), (114) gives:
% 40.37/6.53 | (185) all_364_18 = all_362_18
% 40.37/6.53 |
% 40.37/6.53 | GROUND_INST: instantiating (24) with all_355_18, all_364_18, h, ord_less_nat,
% 40.37/6.53 | simplifying with (53), (114) gives:
% 40.37/6.53 | (186) all_364_18 = all_355_18
% 40.37/6.53 |
% 40.37/6.53 | GROUND_INST: instantiating (24) with all_364_18, all_366_19, h, ord_less_nat,
% 40.37/6.53 | simplifying with (114), (140) gives:
% 40.37/6.53 | (187) all_366_19 = all_364_18
% 40.37/6.53 |
% 40.37/6.53 | GROUND_INST: instantiating (24) with all_348_0, all_366_19, h, ord_less_nat,
% 40.37/6.53 | simplifying with (36), (140) gives:
% 40.37/6.53 | (188) all_366_19 = all_348_0
% 40.37/6.53 |
% 40.37/6.53 | GROUND_INST: instantiating (24) with all_366_19, all_368_26, h, ord_less_nat,
% 40.37/6.53 | simplifying with (140), (160) gives:
% 40.37/6.53 | (189) all_368_26 = all_366_19
% 40.37/6.53 |
% 40.37/6.53 | GROUND_INST: instantiating (24) with all_360_18, all_368_26, h, ord_less_nat,
% 40.37/6.53 | simplifying with (72), (160) gives:
% 40.37/6.53 | (190) all_368_26 = all_360_18
% 40.37/6.53 |
% 40.37/6.53 | GROUND_INST: instantiating (24) with all_362_12, all_364_12, h, fequal_nat,
% 40.37/6.53 | simplifying with (92), (115) gives:
% 40.37/6.53 | (191) all_364_12 = all_362_12
% 40.37/6.53 |
% 40.37/6.53 | GROUND_INST: instantiating (24) with all_364_12, all_366_13, h, fequal_nat,
% 40.37/6.53 | simplifying with (115), (141) gives:
% 40.37/6.53 | (192) all_366_13 = all_364_12
% 40.37/6.53 |
% 40.37/6.53 | GROUND_INST: instantiating (24) with all_360_12, all_366_13, h, fequal_nat,
% 40.37/6.53 | simplifying with (73), (141) gives:
% 40.37/6.53 | (193) all_366_13 = all_360_12
% 40.37/6.53 |
% 40.37/6.53 | GROUND_INST: instantiating (24) with all_362_12, all_368_20, h, fequal_nat,
% 40.37/6.53 | simplifying with (92), (161) gives:
% 40.37/6.53 | (194) all_368_20 = all_362_12
% 40.37/6.53 |
% 40.37/6.53 | GROUND_INST: instantiating (24) with all_355_12, all_368_20, h, fequal_nat,
% 40.37/6.53 | simplifying with (54), (161) gives:
% 40.37/6.53 | (195) all_368_20 = all_355_12
% 40.37/6.53 |
% 40.37/6.53 | COMBINE_EQS: (168), (169) imply:
% 40.37/6.53 | (196) all_364_20 = all_343_4
% 40.37/6.53 |
% 40.37/6.53 | SIMP: (196) implies:
% 40.37/6.53 | (197) all_364_20 = all_343_4
% 40.37/6.53 |
% 40.37/6.53 | COMBINE_EQS: (173), (174) imply:
% 40.37/6.53 | (198) all_364_5 = all_355_5
% 40.37/6.53 |
% 40.37/6.53 | SIMP: (198) implies:
% 40.37/6.53 | (199) all_364_5 = all_355_5
% 40.37/6.53 |
% 40.37/6.53 | COMBINE_EQS: (183), (184) imply:
% 40.37/6.53 | (200) all_366_10 = all_355_9
% 40.37/6.53 |
% 40.37/6.53 | SIMP: (200) implies:
% 40.37/6.53 | (201) all_366_10 = all_355_9
% 40.37/6.53 |
% 40.37/6.53 | COMBINE_EQS: (194), (195) imply:
% 40.37/6.54 | (202) all_362_12 = all_355_12
% 40.37/6.54 |
% 40.37/6.54 | SIMP: (202) implies:
% 40.37/6.54 | (203) all_362_12 = all_355_12
% 40.37/6.54 |
% 40.37/6.54 | COMBINE_EQS: (177), (178) imply:
% 40.37/6.54 | (204) all_364_15 = all_362_15
% 40.37/6.54 |
% 40.37/6.54 | SIMP: (204) implies:
% 40.37/6.54 | (205) all_364_15 = all_362_15
% 40.37/6.54 |
% 40.37/6.54 | COMBINE_EQS: (178), (179) imply:
% 40.37/6.54 | (206) all_362_15 = all_355_15
% 40.37/6.54 |
% 40.37/6.54 | COMBINE_EQS: (189), (190) imply:
% 40.37/6.54 | (207) all_366_19 = all_360_18
% 40.37/6.54 |
% 40.37/6.54 | SIMP: (207) implies:
% 40.37/6.54 | (208) all_366_19 = all_360_18
% 40.37/6.54 |
% 40.37/6.54 | COMBINE_EQS: (171), (172) imply:
% 40.37/6.54 | (209) all_364_5 = all_362_5
% 40.37/6.54 |
% 40.37/6.54 | SIMP: (209) implies:
% 40.37/6.54 | (210) all_364_5 = all_362_5
% 40.37/6.54 |
% 40.37/6.54 | COMBINE_EQS: (182), (201) imply:
% 40.37/6.54 | (211) all_364_9 = all_355_9
% 40.37/6.54 |
% 40.37/6.54 | SIMP: (211) implies:
% 40.37/6.54 | (212) all_364_9 = all_355_9
% 40.37/6.54 |
% 40.37/6.54 | COMBINE_EQS: (192), (193) imply:
% 40.37/6.54 | (213) all_364_12 = all_360_12
% 40.37/6.54 |
% 40.37/6.54 | SIMP: (213) implies:
% 40.37/6.54 | (214) all_364_12 = all_360_12
% 40.37/6.54 |
% 40.37/6.54 | COMBINE_EQS: (175), (176) imply:
% 40.37/6.54 | (215) all_364_15 = all_360_15
% 40.37/6.54 |
% 40.37/6.54 | SIMP: (215) implies:
% 40.37/6.54 | (216) all_364_15 = all_360_15
% 40.37/6.54 |
% 40.37/6.54 | COMBINE_EQS: (188), (208) imply:
% 40.37/6.54 | (217) all_360_18 = all_348_0
% 40.37/6.54 |
% 40.37/6.54 | COMBINE_EQS: (187), (208) imply:
% 40.37/6.54 | (218) all_364_18 = all_360_18
% 40.37/6.54 |
% 40.37/6.54 | SIMP: (218) implies:
% 40.37/6.54 | (219) all_364_18 = all_360_18
% 40.37/6.54 |
% 40.37/6.54 | COMBINE_EQS: (166), (167) imply:
% 40.37/6.54 | (220) all_364_20 = all_345_5
% 40.37/6.54 |
% 40.37/6.54 | SIMP: (220) implies:
% 40.37/6.54 | (221) all_364_20 = all_345_5
% 40.37/6.54 |
% 40.37/6.54 | COMBINE_EQS: (170), (210) imply:
% 40.37/6.54 | (222) all_362_5 = all_360_5
% 40.37/6.54 |
% 40.37/6.54 | COMBINE_EQS: (199), (210) imply:
% 40.37/6.54 | (223) all_362_5 = all_355_5
% 40.37/6.54 |
% 40.37/6.54 | COMBINE_EQS: (181), (212) imply:
% 40.37/6.54 | (224) all_362_9 = all_355_9
% 40.37/6.54 |
% 40.37/6.54 | SIMP: (224) implies:
% 40.37/6.54 | (225) all_362_9 = all_355_9
% 40.37/6.54 |
% 40.37/6.54 | COMBINE_EQS: (191), (214) imply:
% 40.37/6.54 | (226) all_362_12 = all_360_12
% 40.37/6.54 |
% 40.37/6.54 | SIMP: (226) implies:
% 40.37/6.54 | (227) all_362_12 = all_360_12
% 40.37/6.54 |
% 40.37/6.54 | COMBINE_EQS: (205), (216) imply:
% 40.37/6.54 | (228) all_362_15 = all_360_15
% 40.37/6.54 |
% 40.37/6.54 | SIMP: (228) implies:
% 40.37/6.54 | (229) all_362_15 = all_360_15
% 40.37/6.54 |
% 40.37/6.54 | COMBINE_EQS: (185), (219) imply:
% 40.37/6.54 | (230) all_362_18 = all_360_18
% 40.37/6.54 |
% 40.37/6.54 | COMBINE_EQS: (185), (186) imply:
% 40.37/6.54 | (231) all_362_18 = all_355_18
% 40.37/6.54 |
% 40.37/6.54 | COMBINE_EQS: (197), (221) imply:
% 40.37/6.54 | (232) all_345_5 = all_343_4
% 40.37/6.54 |
% 40.37/6.54 | SIMP: (232) implies:
% 40.37/6.54 | (233) all_345_5 = all_343_4
% 40.37/6.54 |
% 40.37/6.54 | COMBINE_EQS: (222), (223) imply:
% 40.37/6.54 | (234) all_360_5 = all_355_5
% 40.37/6.54 |
% 40.37/6.54 | COMBINE_EQS: (180), (225) imply:
% 40.37/6.54 | (235) all_360_9 = all_355_9
% 40.37/6.54 |
% 40.37/6.54 | SIMP: (235) implies:
% 40.37/6.54 | (236) all_360_9 = all_355_9
% 40.37/6.54 |
% 40.37/6.54 | COMBINE_EQS: (203), (227) imply:
% 40.37/6.54 | (237) all_360_12 = all_355_12
% 40.37/6.54 |
% 40.37/6.54 | SIMP: (237) implies:
% 40.37/6.54 | (238) all_360_12 = all_355_12
% 40.37/6.54 |
% 40.37/6.54 | COMBINE_EQS: (206), (229) imply:
% 40.37/6.54 | (239) all_360_15 = all_355_15
% 40.37/6.54 |
% 40.37/6.54 | COMBINE_EQS: (230), (231) imply:
% 40.37/6.54 | (240) all_360_18 = all_355_18
% 40.37/6.54 |
% 40.37/6.54 | SIMP: (240) implies:
% 40.37/6.54 | (241) all_360_18 = all_355_18
% 40.37/6.54 |
% 40.37/6.54 | COMBINE_EQS: (217), (241) imply:
% 40.37/6.54 | (242) all_355_18 = all_348_0
% 40.37/6.54 |
% 40.37/6.54 | SIMP: (242) implies:
% 40.37/6.54 | (243) all_355_18 = all_348_0
% 40.37/6.54 |
% 40.37/6.54 | COMBINE_EQS: (231), (243) imply:
% 40.37/6.54 | (244) all_362_18 = all_348_0
% 40.37/6.54 |
% 40.37/6.54 | COMBINE_EQS: (185), (244) imply:
% 40.37/6.54 | (245) all_364_18 = all_348_0
% 40.37/6.54 |
% 40.37/6.54 | COMBINE_EQS: (216), (239) imply:
% 40.37/6.54 | (246) all_364_15 = all_355_15
% 40.37/6.54 |
% 40.37/6.54 | COMBINE_EQS: (214), (238) imply:
% 40.37/6.54 | (247) all_364_12 = all_355_12
% 40.37/6.54 |
% 40.37/6.54 | COMBINE_EQS: (167), (233) imply:
% 40.37/6.54 | (248) all_366_24 = all_343_4
% 40.37/6.54 |
% 40.37/6.54 | COMBINE_EQS: (176), (239) imply:
% 40.37/6.54 | (249) all_366_16 = all_355_15
% 40.37/6.54 |
% 40.37/6.54 | COMBINE_EQS: (193), (238) imply:
% 40.37/6.54 | (250) all_366_13 = all_355_12
% 40.37/6.54 |
% 40.37/6.54 | COMBINE_EQS: (172), (223) imply:
% 40.37/6.54 | (251) all_366_6 = all_355_5
% 40.37/6.54 |
% 40.37/6.54 | COMBINE_EQS: (190), (217) imply:
% 40.37/6.54 | (252) all_368_26 = all_348_0
% 40.37/6.54 |
% 40.37/6.54 | REDUCE: (156), (184) imply:
% 40.37/6.54 | (253) cOMBC_493523632t_bool(all_355_9, c) = all_368_16
% 40.37/6.54 |
% 40.37/6.54 | REDUCE: (136), (201) imply:
% 40.37/6.54 | (254) cOMBC_493523632t_bool(all_355_9, c) = all_366_9
% 40.37/6.54 |
% 40.37/6.54 | REDUCE: (110), (212) imply:
% 40.37/6.54 | (255) cOMBC_493523632t_bool(all_355_9, c) = all_364_8
% 40.37/6.54 |
% 40.37/6.54 | REDUCE: (87), (225) imply:
% 40.49/6.54 | (256) cOMBC_493523632t_bool(all_355_9, c) = all_362_8
% 40.49/6.54 |
% 40.49/6.54 | REDUCE: (68), (236) imply:
% 40.49/6.54 | (257) cOMBC_493523632t_bool(all_355_9, c) = all_360_8
% 40.49/6.54 |
% 40.49/6.54 | REDUCE: (151), (174) imply:
% 40.49/6.54 | (258) cOMBC_1778077589t_bool(all_355_5, e) = all_368_12
% 40.49/6.54 |
% 40.49/6.54 | REDUCE: (149), (179) imply:
% 40.49/6.54 | (259) cOMBC_1778077589t_bool(all_355_15, e) = all_368_22
% 40.49/6.54 |
% 40.49/6.54 | REDUCE: (131), (251) imply:
% 40.49/6.54 | (260) cOMBC_1778077589t_bool(all_355_5, e) = all_366_5
% 40.49/6.54 |
% 40.49/6.54 | REDUCE: (129), (249) imply:
% 40.49/6.54 | (261) cOMBC_1778077589t_bool(all_355_15, e) = all_366_15
% 40.49/6.54 |
% 40.49/6.54 | REDUCE: (105), (199) imply:
% 40.49/6.54 | (262) cOMBC_1778077589t_bool(all_355_5, e) = all_364_4
% 40.49/6.54 |
% 40.49/6.54 | REDUCE: (103), (246) imply:
% 40.49/6.54 | (263) cOMBC_1778077589t_bool(all_355_15, e) = all_364_14
% 40.49/6.54 |
% 40.49/6.54 | REDUCE: (82), (223) imply:
% 40.49/6.54 | (264) cOMBC_1778077589t_bool(all_355_5, e) = all_362_4
% 40.49/6.54 |
% 40.49/6.54 | REDUCE: (80), (206) imply:
% 40.49/6.54 | (265) cOMBC_1778077589t_bool(all_355_15, e) = all_362_14
% 40.49/6.54 |
% 40.49/6.54 | REDUCE: (63), (234) imply:
% 40.49/6.54 | (266) cOMBC_1778077589t_bool(all_355_5, e) = all_360_4
% 40.49/6.54 |
% 40.49/6.54 | REDUCE: (61), (239) imply:
% 40.49/6.54 | (267) cOMBC_1778077589t_bool(all_355_15, e) = all_360_14
% 40.49/6.54 |
% 40.49/6.54 | REDUCE: (163), (169) imply:
% 40.49/6.54 | (268) member1056080916le_alt(all_343_4) = all_370_0
% 40.49/6.54 |
% 40.49/6.54 | REDUCE: (123), (248) imply:
% 40.49/6.54 | (269) member1056080916le_alt(all_343_4) = all_366_23
% 40.49/6.54 |
% 40.49/6.54 | REDUCE: (98), (197) imply:
% 40.49/6.54 | (270) member1056080916le_alt(all_343_4) = all_364_19
% 40.49/6.54 |
% 40.49/6.54 | REDUCE: (33), (233) imply:
% 40.49/6.54 | (271) member1056080916le_alt(all_343_4) = all_345_4
% 40.49/6.54 |
% 40.49/6.54 | REDUCE: (121), (165) imply:
% 40.49/6.54 | (272) hAPP_f745298353l_bool(all_366_23, all_343_2) = all_366_21
% 40.49/6.54 |
% 40.49/6.54 | REDUCE: (145), (195) imply:
% 40.49/6.54 | (273) cOMBC_277798809t_bool(all_355_12, n) = all_368_19
% 40.49/6.54 |
% 40.49/6.54 | REDUCE: (144), (252) imply:
% 40.49/6.54 | (274) cOMBC_277798809t_bool(all_348_0, n) = all_368_25
% 40.49/6.54 |
% 40.49/6.54 | REDUCE: (118), (250) imply:
% 40.49/6.54 | (275) cOMBC_277798809t_bool(all_355_12, n) = all_366_12
% 40.49/6.54 |
% 40.49/6.54 | REDUCE: (117), (188) imply:
% 40.49/6.54 | (276) cOMBC_277798809t_bool(all_348_0, n) = all_366_18
% 40.49/6.54 |
% 40.49/6.54 | REDUCE: (95), (247) imply:
% 40.49/6.54 | (277) cOMBC_277798809t_bool(all_355_12, n) = all_364_11
% 40.49/6.54 |
% 40.49/6.54 | REDUCE: (94), (245) imply:
% 40.49/6.54 | (278) cOMBC_277798809t_bool(all_348_0, n) = all_364_17
% 40.49/6.54 |
% 40.49/6.54 | REDUCE: (76), (203) imply:
% 40.49/6.54 | (279) cOMBC_277798809t_bool(all_355_12, n) = all_362_11
% 40.49/6.54 |
% 40.49/6.54 | REDUCE: (75), (244) imply:
% 40.49/6.54 | (280) cOMBC_277798809t_bool(all_348_0, n) = all_362_17
% 40.49/6.54 |
% 40.49/6.54 | REDUCE: (57), (238) imply:
% 40.49/6.54 | (281) cOMBC_277798809t_bool(all_355_12, n) = all_360_11
% 40.49/6.54 |
% 40.49/6.54 | REDUCE: (56), (217) imply:
% 40.49/6.54 | (282) cOMBC_277798809t_bool(all_348_0, n) = all_360_17
% 40.49/6.54 |
% 40.49/6.54 | REDUCE: (38), (243) imply:
% 40.49/6.55 | (283) cOMBC_277798809t_bool(all_348_0, n) = all_355_17
% 40.49/6.55 |
% 40.49/6.55 | GROUND_INST: instantiating (13) with all_360_17, all_362_17, n, all_348_0,
% 40.49/6.55 | simplifying with (280), (282) gives:
% 40.49/6.55 | (284) all_362_17 = all_360_17
% 40.49/6.55 |
% 40.49/6.55 | GROUND_INST: instantiating (13) with all_362_17, all_364_17, n, all_348_0,
% 40.49/6.55 | simplifying with (278), (280) gives:
% 40.49/6.55 | (285) all_364_17 = all_362_17
% 40.49/6.55 |
% 40.49/6.55 | GROUND_INST: instantiating (13) with all_364_17, all_366_18, n, all_348_0,
% 40.49/6.55 | simplifying with (276), (278) gives:
% 40.49/6.55 | (286) all_366_18 = all_364_17
% 40.49/6.55 |
% 40.49/6.55 | GROUND_INST: instantiating (13) with all_366_18, all_368_25, n, all_348_0,
% 40.49/6.55 | simplifying with (274), (276) gives:
% 40.49/6.55 | (287) all_368_25 = all_366_18
% 40.49/6.55 |
% 40.49/6.55 | GROUND_INST: instantiating (13) with all_355_17, all_368_25, n, all_348_0,
% 40.49/6.55 | simplifying with (274), (283) gives:
% 40.49/6.55 | (288) all_368_25 = all_355_17
% 40.49/6.55 |
% 40.49/6.55 | GROUND_INST: instantiating (13) with all_362_11, all_366_12, n, all_355_12,
% 40.49/6.55 | simplifying with (275), (279) gives:
% 40.49/6.55 | (289) all_366_12 = all_362_11
% 40.49/6.55 |
% 40.49/6.55 | GROUND_INST: instantiating (13) with all_355_11, all_368_19, n, all_355_12,
% 40.49/6.55 | simplifying with (39), (273) gives:
% 40.49/6.55 | (290) all_368_19 = all_355_11
% 40.49/6.55 |
% 40.49/6.55 | GROUND_INST: instantiating (13) with all_366_12, all_368_19, n, all_355_12,
% 40.49/6.55 | simplifying with (273), (275) gives:
% 40.49/6.55 | (291) all_368_19 = all_366_12
% 40.49/6.55 |
% 40.49/6.55 | GROUND_INST: instantiating (13) with all_364_11, all_368_19, n, all_355_12,
% 40.49/6.55 | simplifying with (273), (277) gives:
% 40.49/6.55 | (292) all_368_19 = all_364_11
% 40.49/6.55 |
% 40.49/6.55 | GROUND_INST: instantiating (13) with all_360_11, all_368_19, n, all_355_12,
% 40.49/6.55 | simplifying with (273), (281) gives:
% 40.49/6.55 | (293) all_368_19 = all_360_11
% 40.49/6.55 |
% 40.49/6.55 | GROUND_INST: instantiating (11) with all_343_3, all_364_19, all_343_4,
% 40.49/6.55 | simplifying with (29), (270) gives:
% 40.49/6.55 | (294) all_364_19 = all_343_3
% 40.49/6.55 |
% 40.49/6.55 | GROUND_INST: instantiating (11) with all_364_19, all_366_23, all_343_4,
% 40.49/6.55 | simplifying with (269), (270) gives:
% 40.49/6.55 | (295) all_366_23 = all_364_19
% 40.49/6.55 |
% 40.49/6.55 | GROUND_INST: instantiating (11) with all_366_23, all_370_0, all_343_4,
% 40.49/6.55 | simplifying with (268), (269) gives:
% 40.49/6.55 | (296) all_370_0 = all_366_23
% 40.49/6.55 |
% 40.49/6.55 | GROUND_INST: instantiating (11) with all_345_4, all_370_0, all_343_4,
% 40.49/6.55 | simplifying with (268), (271) gives:
% 40.49/6.55 | (297) all_370_0 = all_345_4
% 40.49/6.55 |
% 40.49/6.55 | GROUND_INST: instantiating (18) with all_355_14, all_362_14, e, all_355_15,
% 40.49/6.55 | simplifying with (42), (265) gives:
% 40.49/6.55 | (298) all_362_14 = all_355_14
% 40.49/6.55 |
% 40.49/6.55 | GROUND_INST: instantiating (18) with all_360_14, all_366_15, e, all_355_15,
% 40.49/6.55 | simplifying with (261), (267) gives:
% 40.49/6.55 | (299) all_366_15 = all_360_14
% 40.49/6.55 |
% 40.49/6.55 | GROUND_INST: instantiating (18) with all_366_15, all_368_22, e, all_355_15,
% 40.49/6.55 | simplifying with (259), (261) gives:
% 40.49/6.55 | (300) all_368_22 = all_366_15
% 40.49/6.55 |
% 40.49/6.55 | GROUND_INST: instantiating (18) with all_364_14, all_368_22, e, all_355_15,
% 40.49/6.55 | simplifying with (259), (263) gives:
% 40.49/6.55 | (301) all_368_22 = all_364_14
% 40.49/6.55 |
% 40.49/6.55 | GROUND_INST: instantiating (18) with all_362_14, all_368_22, e, all_355_15,
% 40.49/6.55 | simplifying with (259), (265) gives:
% 40.49/6.55 | (302) all_368_22 = all_362_14
% 40.49/6.55 |
% 40.49/6.55 | GROUND_INST: instantiating (18) with all_355_4, all_362_4, e, all_355_5,
% 40.49/6.55 | simplifying with (44), (264) gives:
% 40.49/6.55 | (303) all_362_4 = all_355_4
% 40.49/6.55 |
% 40.49/6.55 | GROUND_INST: instantiating (18) with all_362_4, all_364_4, e, all_355_5,
% 40.49/6.55 | simplifying with (262), (264) gives:
% 40.49/6.55 | (304) all_364_4 = all_362_4
% 40.49/6.55 |
% 40.49/6.55 | GROUND_INST: instantiating (18) with all_364_4, all_366_5, e, all_355_5,
% 40.49/6.55 | simplifying with (260), (262) gives:
% 40.49/6.55 | (305) all_366_5 = all_364_4
% 40.49/6.55 |
% 40.49/6.55 | GROUND_INST: instantiating (18) with all_366_5, all_368_12, e, all_355_5,
% 40.49/6.55 | simplifying with (258), (260) gives:
% 40.49/6.55 | (306) all_368_12 = all_366_5
% 40.49/6.55 |
% 40.49/6.55 | GROUND_INST: instantiating (18) with all_360_4, all_368_12, e, all_355_5,
% 40.49/6.55 | simplifying with (258), (266) gives:
% 40.49/6.55 | (307) all_368_12 = all_360_4
% 40.49/6.55 |
% 40.49/6.55 | GROUND_INST: instantiating (21) with all_364_8, all_366_9, c, all_355_9,
% 40.49/6.55 | simplifying with (254), (255) gives:
% 40.49/6.55 | (308) all_366_9 = all_364_8
% 40.49/6.55 |
% 40.49/6.55 | GROUND_INST: instantiating (21) with all_360_8, all_366_9, c, all_355_9,
% 40.49/6.55 | simplifying with (254), (257) gives:
% 40.49/6.55 | (309) all_366_9 = all_360_8
% 40.49/6.55 |
% 40.49/6.55 | GROUND_INST: instantiating (21) with all_355_8, all_368_16, c, all_355_9,
% 40.49/6.55 | simplifying with (49), (253) gives:
% 40.49/6.55 | (310) all_368_16 = all_355_8
% 40.49/6.55 |
% 40.49/6.55 | GROUND_INST: instantiating (21) with all_366_9, all_368_16, c, all_355_9,
% 40.49/6.55 | simplifying with (253), (254) gives:
% 40.49/6.55 | (311) all_368_16 = all_366_9
% 40.49/6.55 |
% 40.49/6.55 | GROUND_INST: instantiating (21) with all_362_8, all_368_16, c, all_355_9,
% 40.49/6.55 | simplifying with (253), (256) gives:
% 40.49/6.55 | (312) all_368_16 = all_362_8
% 40.49/6.55 |
% 40.49/6.55 | COMBINE_EQS: (296), (297) imply:
% 40.49/6.55 | (313) all_366_23 = all_345_4
% 40.49/6.55 |
% 40.49/6.55 | SIMP: (313) implies:
% 40.49/6.55 | (314) all_366_23 = all_345_4
% 40.49/6.55 |
% 40.49/6.55 | COMBINE_EQS: (306), (307) imply:
% 40.49/6.55 | (315) all_366_5 = all_360_4
% 40.49/6.55 |
% 40.49/6.55 | SIMP: (315) implies:
% 40.49/6.55 | (316) all_366_5 = all_360_4
% 40.49/6.55 |
% 40.49/6.55 | COMBINE_EQS: (310), (312) imply:
% 40.49/6.55 | (317) all_362_8 = all_355_8
% 40.49/6.55 |
% 40.49/6.55 | COMBINE_EQS: (311), (312) imply:
% 40.49/6.55 | (318) all_366_9 = all_362_8
% 40.49/6.55 |
% 40.49/6.55 | SIMP: (318) implies:
% 40.49/6.55 | (319) all_366_9 = all_362_8
% 40.49/6.55 |
% 40.49/6.55 | COMBINE_EQS: (290), (292) imply:
% 40.49/6.55 | (320) all_364_11 = all_355_11
% 40.49/6.55 |
% 40.49/6.55 | COMBINE_EQS: (291), (292) imply:
% 40.49/6.55 | (321) all_366_12 = all_364_11
% 40.49/6.55 |
% 40.49/6.55 | SIMP: (321) implies:
% 40.49/6.55 | (322) all_366_12 = all_364_11
% 40.49/6.55 |
% 40.49/6.55 | COMBINE_EQS: (292), (293) imply:
% 40.49/6.55 | (323) all_364_11 = all_360_11
% 40.49/6.55 |
% 40.49/6.55 | COMBINE_EQS: (300), (301) imply:
% 40.49/6.55 | (324) all_366_15 = all_364_14
% 40.49/6.55 |
% 40.49/6.55 | SIMP: (324) implies:
% 40.49/6.55 | (325) all_366_15 = all_364_14
% 40.49/6.55 |
% 40.49/6.55 | COMBINE_EQS: (301), (302) imply:
% 40.49/6.55 | (326) all_364_14 = all_362_14
% 40.49/6.55 |
% 40.49/6.55 | COMBINE_EQS: (287), (288) imply:
% 40.49/6.55 | (327) all_366_18 = all_355_17
% 40.49/6.55 |
% 40.49/6.55 | SIMP: (327) implies:
% 40.49/6.55 | (328) all_366_18 = all_355_17
% 40.49/6.55 |
% 40.49/6.55 | COMBINE_EQS: (305), (316) imply:
% 40.49/6.55 | (329) all_364_4 = all_360_4
% 40.49/6.55 |
% 40.49/6.55 | SIMP: (329) implies:
% 40.49/6.55 | (330) all_364_4 = all_360_4
% 40.49/6.55 |
% 40.49/6.55 | COMBINE_EQS: (308), (309) imply:
% 40.49/6.55 | (331) all_364_8 = all_360_8
% 40.49/6.55 |
% 40.49/6.55 | COMBINE_EQS: (308), (319) imply:
% 40.49/6.55 | (332) all_364_8 = all_362_8
% 40.49/6.55 |
% 40.49/6.55 | COMBINE_EQS: (289), (322) imply:
% 40.49/6.55 | (333) all_364_11 = all_362_11
% 40.49/6.55 |
% 40.49/6.55 | SIMP: (333) implies:
% 40.49/6.55 | (334) all_364_11 = all_362_11
% 40.49/6.55 |
% 40.49/6.55 | COMBINE_EQS: (299), (325) imply:
% 40.49/6.55 | (335) all_364_14 = all_360_14
% 40.49/6.55 |
% 40.49/6.55 | SIMP: (335) implies:
% 40.49/6.55 | (336) all_364_14 = all_360_14
% 40.49/6.55 |
% 40.49/6.55 | COMBINE_EQS: (286), (328) imply:
% 40.49/6.55 | (337) all_364_17 = all_355_17
% 40.49/6.55 |
% 40.49/6.55 | SIMP: (337) implies:
% 40.49/6.55 | (338) all_364_17 = all_355_17
% 40.49/6.55 |
% 40.49/6.55 | COMBINE_EQS: (295), (314) imply:
% 40.49/6.55 | (339) all_364_19 = all_345_4
% 40.49/6.55 |
% 40.49/6.55 | SIMP: (339) implies:
% 40.49/6.55 | (340) all_364_19 = all_345_4
% 40.49/6.55 |
% 40.49/6.55 | COMBINE_EQS: (304), (330) imply:
% 40.49/6.55 | (341) all_362_4 = all_360_4
% 40.49/6.55 |
% 40.49/6.55 | SIMP: (341) implies:
% 40.49/6.55 | (342) all_362_4 = all_360_4
% 40.49/6.55 |
% 40.49/6.55 | COMBINE_EQS: (331), (332) imply:
% 40.49/6.55 | (343) all_362_8 = all_360_8
% 40.49/6.55 |
% 40.49/6.55 | SIMP: (343) implies:
% 40.49/6.55 | (344) all_362_8 = all_360_8
% 40.49/6.55 |
% 40.49/6.55 | COMBINE_EQS: (320), (334) imply:
% 40.49/6.55 | (345) all_362_11 = all_355_11
% 40.49/6.55 |
% 40.49/6.55 | COMBINE_EQS: (323), (334) imply:
% 40.49/6.55 | (346) all_362_11 = all_360_11
% 40.49/6.55 |
% 40.49/6.55 | COMBINE_EQS: (326), (336) imply:
% 40.49/6.55 | (347) all_362_14 = all_360_14
% 40.49/6.55 |
% 40.49/6.55 | SIMP: (347) implies:
% 40.49/6.55 | (348) all_362_14 = all_360_14
% 40.49/6.55 |
% 40.49/6.55 | COMBINE_EQS: (285), (338) imply:
% 40.49/6.55 | (349) all_362_17 = all_355_17
% 40.49/6.55 |
% 40.49/6.55 | SIMP: (349) implies:
% 40.49/6.55 | (350) all_362_17 = all_355_17
% 40.49/6.56 |
% 40.49/6.56 | COMBINE_EQS: (294), (340) imply:
% 40.49/6.56 | (351) all_345_4 = all_343_3
% 40.49/6.56 |
% 40.49/6.56 | COMBINE_EQS: (303), (342) imply:
% 40.49/6.56 | (352) all_360_4 = all_355_4
% 40.49/6.56 |
% 40.49/6.56 | SIMP: (352) implies:
% 40.49/6.56 | (353) all_360_4 = all_355_4
% 40.49/6.56 |
% 40.49/6.56 | COMBINE_EQS: (317), (344) imply:
% 40.49/6.56 | (354) all_360_8 = all_355_8
% 40.49/6.56 |
% 40.49/6.56 | COMBINE_EQS: (345), (346) imply:
% 40.49/6.56 | (355) all_360_11 = all_355_11
% 40.49/6.56 |
% 40.49/6.56 | COMBINE_EQS: (298), (348) imply:
% 40.49/6.56 | (356) all_360_14 = all_355_14
% 40.49/6.56 |
% 40.49/6.56 | COMBINE_EQS: (284), (350) imply:
% 40.49/6.56 | (357) all_360_17 = all_355_17
% 40.49/6.56 |
% 40.49/6.56 | SIMP: (357) implies:
% 40.49/6.56 | (358) all_360_17 = all_355_17
% 40.49/6.56 |
% 40.49/6.56 | COMBINE_EQS: (336), (356) imply:
% 40.49/6.56 | (359) all_364_14 = all_355_14
% 40.49/6.56 |
% 40.49/6.56 | COMBINE_EQS: (331), (354) imply:
% 40.49/6.56 | (360) all_364_8 = all_355_8
% 40.49/6.56 |
% 40.49/6.56 | COMBINE_EQS: (330), (353) imply:
% 40.49/6.56 | (361) all_364_4 = all_355_4
% 40.49/6.56 |
% 40.49/6.56 | COMBINE_EQS: (314), (351) imply:
% 40.49/6.56 | (362) all_366_23 = all_343_3
% 40.49/6.56 |
% 40.49/6.56 | COMBINE_EQS: (299), (356) imply:
% 40.49/6.56 | (363) all_366_15 = all_355_14
% 40.49/6.56 |
% 40.49/6.56 | COMBINE_EQS: (289), (345) imply:
% 40.49/6.56 | (364) all_366_12 = all_355_11
% 40.49/6.56 |
% 40.49/6.56 | COMBINE_EQS: (308), (360) imply:
% 40.49/6.56 | (365) all_366_9 = all_355_8
% 40.49/6.56 |
% 40.49/6.56 | COMBINE_EQS: (316), (353) imply:
% 40.49/6.56 | (366) all_366_5 = all_355_4
% 40.49/6.56 |
% 40.49/6.56 | COMBINE_EQS: (301), (359) imply:
% 40.49/6.56 | (367) all_368_22 = all_355_14
% 40.49/6.56 |
% 40.49/6.56 | COMBINE_EQS: (307), (353) imply:
% 40.49/6.56 | (368) all_368_12 = all_355_4
% 40.49/6.56 |
% 40.49/6.56 | REDUCE: (159), (290) imply:
% 40.49/6.56 | (369) cOMBB_963584201e_indi(if_fun1419651289t_bool, all_355_11) =
% 40.49/6.56 | all_368_18
% 40.49/6.56 |
% 40.49/6.56 | REDUCE: (158), (288) imply:
% 40.49/6.56 | (370) cOMBB_963584201e_indi(if_fun1419651289t_bool, all_355_17) =
% 40.49/6.56 | all_368_24
% 40.49/6.56 |
% 40.49/6.56 | REDUCE: (139), (364) imply:
% 40.49/6.56 | (371) cOMBB_963584201e_indi(if_fun1419651289t_bool, all_355_11) =
% 40.49/6.56 | all_366_11
% 40.49/6.56 |
% 40.49/6.56 | REDUCE: (138), (328) imply:
% 40.49/6.56 | (372) cOMBB_963584201e_indi(if_fun1419651289t_bool, all_355_17) =
% 40.49/6.56 | all_366_17
% 40.49/6.56 |
% 40.49/6.56 | REDUCE: (113), (320) imply:
% 40.49/6.56 | (373) cOMBB_963584201e_indi(if_fun1419651289t_bool, all_355_11) =
% 40.49/6.56 | all_364_10
% 40.49/6.56 |
% 40.49/6.56 | REDUCE: (112), (338) imply:
% 40.49/6.56 | (374) cOMBB_963584201e_indi(if_fun1419651289t_bool, all_355_17) =
% 40.49/6.56 | all_364_16
% 40.49/6.56 |
% 40.49/6.56 | REDUCE: (90), (345) imply:
% 40.49/6.56 | (375) cOMBB_963584201e_indi(if_fun1419651289t_bool, all_355_11) =
% 40.49/6.56 | all_362_10
% 40.49/6.56 |
% 40.49/6.56 | REDUCE: (89), (350) imply:
% 40.49/6.56 | (376) cOMBB_963584201e_indi(if_fun1419651289t_bool, all_355_17) =
% 40.49/6.56 | all_362_16
% 40.49/6.56 |
% 40.49/6.56 | REDUCE: (71), (355) imply:
% 40.49/6.56 | (377) cOMBB_963584201e_indi(if_fun1419651289t_bool, all_355_11) =
% 40.49/6.56 | all_360_10
% 40.49/6.56 |
% 40.49/6.56 | REDUCE: (70), (358) imply:
% 40.49/6.56 | (378) cOMBB_963584201e_indi(if_fun1419651289t_bool, all_355_17) =
% 40.49/6.56 | all_360_16
% 40.49/6.56 |
% 40.49/6.56 | REDUCE: (154), (367) imply:
% 40.49/6.56 | (379) cOMBS_102864562t_bool(all_368_24, all_355_14) = all_368_21
% 40.49/6.56 |
% 40.49/6.56 | REDUCE: (134), (363) imply:
% 40.49/6.56 | (380) cOMBS_102864562t_bool(all_366_17, all_355_14) = all_366_14
% 40.49/6.56 |
% 40.49/6.56 | REDUCE: (108), (359) imply:
% 40.49/6.56 | (381) cOMBS_102864562t_bool(all_364_16, all_355_14) = all_364_13
% 40.49/6.56 |
% 40.49/6.56 | REDUCE: (85), (298) imply:
% 40.49/6.56 | (382) cOMBS_102864562t_bool(all_362_16, all_355_14) = all_362_13
% 40.49/6.56 |
% 40.49/6.56 | REDUCE: (66), (356) imply:
% 40.49/6.56 | (383) cOMBS_102864562t_bool(all_360_16, all_355_14) = all_360_13
% 40.49/6.56 |
% 40.49/6.56 | REDUCE: (150), (310) imply:
% 40.49/6.56 | (384) cOMBC_1778077589t_bool(all_355_8, e) = all_368_15
% 40.49/6.56 |
% 40.49/6.56 | REDUCE: (130), (365) imply:
% 40.49/6.56 | (385) cOMBC_1778077589t_bool(all_355_8, e) = all_366_8
% 40.49/6.56 |
% 40.49/6.56 | REDUCE: (104), (360) imply:
% 40.49/6.56 | (386) cOMBC_1778077589t_bool(all_355_8, e) = all_364_7
% 40.49/6.56 |
% 40.49/6.56 | REDUCE: (81), (317) imply:
% 40.49/6.56 | (387) cOMBC_1778077589t_bool(all_355_8, e) = all_362_7
% 40.49/6.56 |
% 40.49/6.56 | REDUCE: (62), (354) imply:
% 40.49/6.56 | (388) cOMBC_1778077589t_bool(all_355_8, e) = all_360_7
% 40.49/6.56 |
% 40.49/6.56 | REDUCE: (148), (368) imply:
% 40.49/6.56 | (389) cOMBS_867867294t_bool(all_368_14, all_355_4) = all_368_11
% 40.49/6.56 |
% 40.49/6.56 | REDUCE: (128), (366) imply:
% 40.49/6.56 | (390) cOMBS_867867294t_bool(all_366_7, all_355_4) = all_366_4
% 40.49/6.56 |
% 40.49/6.56 | REDUCE: (102), (361) imply:
% 40.49/6.56 | (391) cOMBS_867867294t_bool(all_364_6, all_355_4) = all_364_3
% 40.49/6.56 |
% 40.49/6.56 | REDUCE: (79), (303) imply:
% 40.49/6.56 | (392) cOMBS_867867294t_bool(all_362_6, all_355_4) = all_362_3
% 40.49/6.56 |
% 40.49/6.56 | REDUCE: (60), (353) imply:
% 40.49/6.56 | (393) cOMBS_867867294t_bool(all_360_6, all_355_4) = all_360_3
% 40.49/6.56 |
% 40.49/6.56 | REDUCE: (122), (362) imply:
% 40.49/6.56 | (394) hAPP_f745298353l_bool(all_343_3, all_366_2) = all_366_1
% 40.49/6.56 |
% 40.49/6.56 | REDUCE: (272), (362) imply:
% 40.49/6.56 | (395) hAPP_f745298353l_bool(all_343_3, all_343_2) = all_366_21
% 40.49/6.56 |
% 40.49/6.56 | REDUCE: (97), (294) imply:
% 40.49/6.56 | (396) hAPP_f745298353l_bool(all_343_3, all_364_1) = all_364_0
% 40.49/6.56 |
% 40.49/6.56 | GROUND_INST: instantiating (15) with all_343_1, all_366_21, all_343_2,
% 40.49/6.56 | all_343_3, simplifying with (28), (395) gives:
% 40.49/6.56 | (397) all_366_21 = all_343_1
% 40.49/6.56 |
% 40.49/6.56 | GROUND_INST: instantiating (18) with all_355_7, all_362_7, e, all_355_8,
% 40.49/6.56 | simplifying with (43), (387) gives:
% 40.49/6.56 | (398) all_362_7 = all_355_7
% 40.49/6.56 |
% 40.49/6.56 | GROUND_INST: instantiating (18) with all_362_7, all_364_7, e, all_355_8,
% 40.49/6.56 | simplifying with (386), (387) gives:
% 40.49/6.56 | (399) all_364_7 = all_362_7
% 40.49/6.56 |
% 40.49/6.56 | GROUND_INST: instantiating (18) with all_364_7, all_366_8, e, all_355_8,
% 40.49/6.56 | simplifying with (385), (386) gives:
% 40.49/6.56 | (400) all_366_8 = all_364_7
% 40.49/6.56 |
% 40.49/6.56 | GROUND_INST: instantiating (18) with all_366_8, all_368_15, e, all_355_8,
% 40.49/6.56 | simplifying with (384), (385) gives:
% 40.49/6.56 | (401) all_368_15 = all_366_8
% 40.49/6.56 |
% 40.49/6.56 | GROUND_INST: instantiating (18) with all_360_7, all_368_15, e, all_355_8,
% 40.49/6.56 | simplifying with (384), (388) gives:
% 40.49/6.56 | (402) all_368_15 = all_360_7
% 40.49/6.56 |
% 40.49/6.56 | GROUND_INST: instantiating (23) with all_355_16, all_366_17, all_355_17,
% 40.49/6.56 | if_fun1419651289t_bool, simplifying with (51), (372) gives:
% 40.49/6.56 | (403) all_366_17 = all_355_16
% 40.49/6.56 |
% 40.49/6.56 | GROUND_INST: instantiating (23) with all_364_16, all_366_17, all_355_17,
% 40.49/6.56 | if_fun1419651289t_bool, simplifying with (372), (374) gives:
% 40.49/6.56 | (404) all_366_17 = all_364_16
% 40.49/6.56 |
% 40.49/6.56 | GROUND_INST: instantiating (23) with all_362_16, all_366_17, all_355_17,
% 40.49/6.56 | if_fun1419651289t_bool, simplifying with (372), (376) gives:
% 40.49/6.56 | (405) all_366_17 = all_362_16
% 40.49/6.56 |
% 40.49/6.56 | GROUND_INST: instantiating (23) with all_364_16, all_368_24, all_355_17,
% 40.49/6.56 | if_fun1419651289t_bool, simplifying with (370), (374) gives:
% 40.49/6.56 | (406) all_368_24 = all_364_16
% 40.49/6.56 |
% 40.49/6.56 | GROUND_INST: instantiating (23) with all_360_16, all_368_24, all_355_17,
% 40.49/6.56 | if_fun1419651289t_bool, simplifying with (370), (378) gives:
% 40.49/6.56 | (407) all_368_24 = all_360_16
% 40.49/6.56 |
% 40.49/6.56 | GROUND_INST: instantiating (23) with all_355_10, all_364_10, all_355_11,
% 40.49/6.56 | if_fun1419651289t_bool, simplifying with (52), (373) gives:
% 40.49/6.56 | (408) all_364_10 = all_355_10
% 40.49/6.56 |
% 40.49/6.56 | GROUND_INST: instantiating (23) with all_362_10, all_364_10, all_355_11,
% 40.49/6.56 | if_fun1419651289t_bool, simplifying with (373), (375) gives:
% 40.49/6.56 | (409) all_364_10 = all_362_10
% 40.49/6.56 |
% 40.49/6.56 | GROUND_INST: instantiating (23) with all_364_10, all_366_11, all_355_11,
% 40.49/6.56 | if_fun1419651289t_bool, simplifying with (371), (373) gives:
% 40.49/6.56 | (410) all_366_11 = all_364_10
% 40.49/6.56 |
% 40.49/6.56 | GROUND_INST: instantiating (23) with all_366_11, all_368_18, all_355_11,
% 40.49/6.56 | if_fun1419651289t_bool, simplifying with (369), (371) gives:
% 40.49/6.56 | (411) all_368_18 = all_366_11
% 40.49/6.56 |
% 40.49/6.56 | GROUND_INST: instantiating (23) with all_360_10, all_368_18, all_355_11,
% 40.49/6.56 | if_fun1419651289t_bool, simplifying with (369), (377) gives:
% 40.49/6.56 | (412) all_368_18 = all_360_10
% 40.49/6.56 |
% 40.49/6.56 | COMBINE_EQS: (401), (402) imply:
% 40.49/6.56 | (413) all_366_8 = all_360_7
% 40.49/6.56 |
% 40.49/6.56 | SIMP: (413) implies:
% 40.49/6.56 | (414) all_366_8 = all_360_7
% 40.49/6.56 |
% 40.49/6.56 | COMBINE_EQS: (411), (412) imply:
% 40.49/6.56 | (415) all_366_11 = all_360_10
% 40.49/6.56 |
% 40.49/6.56 | SIMP: (415) implies:
% 40.49/6.56 | (416) all_366_11 = all_360_10
% 40.49/6.56 |
% 40.49/6.56 | COMBINE_EQS: (406), (407) imply:
% 40.49/6.56 | (417) all_364_16 = all_360_16
% 40.49/6.56 |
% 40.49/6.56 | SIMP: (417) implies:
% 40.49/6.56 | (418) all_364_16 = all_360_16
% 40.49/6.56 |
% 40.49/6.56 | COMBINE_EQS: (400), (414) imply:
% 40.49/6.56 | (419) all_364_7 = all_360_7
% 40.49/6.56 |
% 40.49/6.56 | SIMP: (419) implies:
% 40.49/6.56 | (420) all_364_7 = all_360_7
% 40.49/6.56 |
% 40.49/6.56 | COMBINE_EQS: (410), (416) imply:
% 40.49/6.56 | (421) all_364_10 = all_360_10
% 40.49/6.56 |
% 40.49/6.56 | SIMP: (421) implies:
% 40.49/6.56 | (422) all_364_10 = all_360_10
% 40.49/6.56 |
% 40.49/6.56 | COMBINE_EQS: (403), (405) imply:
% 40.49/6.56 | (423) all_362_16 = all_355_16
% 40.49/6.56 |
% 40.49/6.56 | COMBINE_EQS: (404), (405) imply:
% 40.49/6.56 | (424) all_364_16 = all_362_16
% 40.49/6.56 |
% 40.49/6.56 | SIMP: (424) implies:
% 40.49/6.56 | (425) all_364_16 = all_362_16
% 40.49/6.56 |
% 40.49/6.56 | COMBINE_EQS: (399), (420) imply:
% 40.49/6.56 | (426) all_362_7 = all_360_7
% 40.49/6.56 |
% 40.49/6.56 | SIMP: (426) implies:
% 40.49/6.56 | (427) all_362_7 = all_360_7
% 40.49/6.56 |
% 40.49/6.56 | COMBINE_EQS: (408), (409) imply:
% 40.49/6.56 | (428) all_362_10 = all_355_10
% 40.49/6.56 |
% 40.49/6.56 | COMBINE_EQS: (409), (422) imply:
% 40.49/6.56 | (429) all_362_10 = all_360_10
% 40.49/6.56 |
% 40.49/6.56 | COMBINE_EQS: (418), (425) imply:
% 40.49/6.56 | (430) all_362_16 = all_360_16
% 40.49/6.56 |
% 40.49/6.56 | SIMP: (430) implies:
% 40.49/6.56 | (431) all_362_16 = all_360_16
% 40.49/6.56 |
% 40.49/6.56 | COMBINE_EQS: (398), (427) imply:
% 40.49/6.57 | (432) all_360_7 = all_355_7
% 40.49/6.57 |
% 40.49/6.57 | SIMP: (432) implies:
% 40.49/6.57 | (433) all_360_7 = all_355_7
% 40.49/6.57 |
% 40.49/6.57 | COMBINE_EQS: (428), (429) imply:
% 40.49/6.57 | (434) all_360_10 = all_355_10
% 40.49/6.57 |
% 40.49/6.57 | COMBINE_EQS: (423), (431) imply:
% 40.49/6.57 | (435) all_360_16 = all_355_16
% 40.49/6.57 |
% 40.49/6.57 | COMBINE_EQS: (418), (435) imply:
% 40.49/6.57 | (436) all_364_16 = all_355_16
% 40.49/6.57 |
% 40.49/6.57 | COMBINE_EQS: (420), (433) imply:
% 40.49/6.57 | (437) all_364_7 = all_355_7
% 40.49/6.57 |
% 40.49/6.57 | COMBINE_EQS: (416), (434) imply:
% 40.49/6.57 | (438) all_366_11 = all_355_10
% 40.49/6.57 |
% 40.49/6.57 | COMBINE_EQS: (414), (433) imply:
% 40.49/6.57 | (439) all_366_8 = all_355_7
% 40.49/6.57 |
% 40.49/6.57 | COMBINE_EQS: (407), (435) imply:
% 40.49/6.57 | (440) all_368_24 = all_355_16
% 40.49/6.57 |
% 40.49/6.57 | COMBINE_EQS: (412), (434) imply:
% 40.49/6.57 | (441) all_368_18 = all_355_10
% 40.49/6.57 |
% 40.49/6.57 | COMBINE_EQS: (402), (433) imply:
% 40.49/6.57 | (442) all_368_15 = all_355_7
% 40.49/6.57 |
% 40.49/6.57 | REDUCE: (155), (441), (442) imply:
% 40.49/6.57 | (443) cOMBS_102864562t_bool(all_355_10, all_355_7) = all_368_14
% 40.49/6.57 |
% 40.49/6.57 | REDUCE: (379), (440) imply:
% 40.49/6.57 | (444) cOMBS_102864562t_bool(all_355_16, all_355_14) = all_368_21
% 40.49/6.57 |
% 40.49/6.57 | REDUCE: (135), (438), (439) imply:
% 40.49/6.57 | (445) cOMBS_102864562t_bool(all_355_10, all_355_7) = all_366_7
% 40.49/6.57 |
% 40.49/6.57 | REDUCE: (380), (403) imply:
% 40.49/6.57 | (446) cOMBS_102864562t_bool(all_355_16, all_355_14) = all_366_14
% 40.49/6.57 |
% 40.49/6.57 | REDUCE: (109), (408), (437) imply:
% 40.49/6.57 | (447) cOMBS_102864562t_bool(all_355_10, all_355_7) = all_364_6
% 40.49/6.57 |
% 40.49/6.57 | REDUCE: (381), (436) imply:
% 40.49/6.57 | (448) cOMBS_102864562t_bool(all_355_16, all_355_14) = all_364_13
% 40.49/6.57 |
% 40.49/6.57 | REDUCE: (86), (398), (428) imply:
% 40.49/6.57 | (449) cOMBS_102864562t_bool(all_355_10, all_355_7) = all_362_6
% 40.49/6.57 |
% 40.49/6.57 | REDUCE: (382), (423) imply:
% 40.49/6.57 | (450) cOMBS_102864562t_bool(all_355_16, all_355_14) = all_362_13
% 40.49/6.57 |
% 40.49/6.57 | REDUCE: (67), (433), (434) imply:
% 40.49/6.57 | (451) cOMBS_102864562t_bool(all_355_10, all_355_7) = all_360_6
% 40.49/6.57 |
% 40.49/6.57 | REDUCE: (383), (435) imply:
% 40.49/6.57 | (452) cOMBS_102864562t_bool(all_355_16, all_355_14) = all_360_13
% 40.49/6.57 |
% 40.49/6.57 | REDUCE: (124), (397) imply:
% 40.49/6.57 | (453) hBOOL(all_343_1) = all_366_20
% 40.49/6.57 |
% 40.49/6.57 | GROUND_INST: instantiating (12) with all_343_0, all_366_20, all_343_1,
% 40.49/6.57 | simplifying with (30), (453) gives:
% 40.49/6.57 | (454) all_366_20 = all_343_0
% 40.49/6.57 |
% 40.49/6.57 | GROUND_INST: instantiating (20) with all_355_13, all_362_13, all_355_14,
% 40.49/6.57 | all_355_16, simplifying with (47), (450) gives:
% 40.49/6.57 | (455) all_362_13 = all_355_13
% 40.49/6.57 |
% 40.49/6.57 | GROUND_INST: instantiating (20) with all_364_13, all_366_14, all_355_14,
% 40.49/6.57 | all_355_16, simplifying with (446), (448) gives:
% 40.49/6.57 | (456) all_366_14 = all_364_13
% 40.49/6.57 |
% 40.49/6.57 | GROUND_INST: instantiating (20) with all_362_13, all_366_14, all_355_14,
% 40.49/6.57 | all_355_16, simplifying with (446), (450) gives:
% 40.49/6.57 | (457) all_366_14 = all_362_13
% 40.49/6.57 |
% 40.49/6.57 | GROUND_INST: instantiating (20) with all_366_14, all_368_21, all_355_14,
% 40.49/6.57 | all_355_16, simplifying with (444), (446) gives:
% 40.49/6.57 | (458) all_368_21 = all_366_14
% 40.49/6.57 |
% 40.49/6.57 | GROUND_INST: instantiating (20) with all_360_13, all_368_21, all_355_14,
% 40.49/6.57 | all_355_16, simplifying with (444), (452) gives:
% 40.49/6.57 | (459) all_368_21 = all_360_13
% 40.49/6.57 |
% 40.49/6.57 | GROUND_INST: instantiating (20) with all_355_6, all_362_6, all_355_7,
% 40.49/6.57 | all_355_10, simplifying with (48), (449) gives:
% 40.49/6.57 | (460) all_362_6 = all_355_6
% 40.49/6.57 |
% 40.49/6.57 | GROUND_INST: instantiating (20) with all_362_6, all_364_6, all_355_7,
% 40.49/6.57 | all_355_10, simplifying with (447), (449) gives:
% 40.49/6.57 | (461) all_364_6 = all_362_6
% 40.49/6.57 |
% 40.49/6.57 | GROUND_INST: instantiating (20) with all_364_6, all_366_7, all_355_7,
% 40.49/6.57 | all_355_10, simplifying with (445), (447) gives:
% 40.49/6.57 | (462) all_366_7 = all_364_6
% 40.49/6.57 |
% 40.49/6.57 | GROUND_INST: instantiating (20) with all_366_7, all_368_14, all_355_7,
% 40.49/6.57 | all_355_10, simplifying with (443), (445) gives:
% 40.49/6.57 | (463) all_368_14 = all_366_7
% 40.49/6.57 |
% 40.49/6.57 | GROUND_INST: instantiating (20) with all_360_6, all_368_14, all_355_7,
% 40.49/6.57 | all_355_10, simplifying with (443), (451) gives:
% 40.49/6.57 | (464) all_368_14 = all_360_6
% 40.49/6.57 |
% 40.49/6.57 | COMBINE_EQS: (463), (464) imply:
% 40.49/6.57 | (465) all_366_7 = all_360_6
% 40.49/6.57 |
% 40.49/6.57 | SIMP: (465) implies:
% 40.49/6.57 | (466) all_366_7 = all_360_6
% 40.49/6.57 |
% 40.49/6.57 | COMBINE_EQS: (458), (459) imply:
% 40.49/6.57 | (467) all_366_14 = all_360_13
% 40.49/6.57 |
% 40.49/6.57 | SIMP: (467) implies:
% 40.49/6.57 | (468) all_366_14 = all_360_13
% 40.49/6.57 |
% 40.49/6.57 | COMBINE_EQS: (462), (466) imply:
% 40.49/6.57 | (469) all_364_6 = all_360_6
% 40.49/6.57 |
% 40.49/6.57 | SIMP: (469) implies:
% 40.49/6.57 | (470) all_364_6 = all_360_6
% 40.49/6.57 |
% 40.49/6.57 | COMBINE_EQS: (456), (457) imply:
% 40.49/6.57 | (471) all_364_13 = all_362_13
% 40.49/6.57 |
% 40.49/6.57 | COMBINE_EQS: (456), (468) imply:
% 40.49/6.57 | (472) all_364_13 = all_360_13
% 40.49/6.57 |
% 40.49/6.57 | COMBINE_EQS: (461), (470) imply:
% 40.49/6.57 | (473) all_362_6 = all_360_6
% 40.49/6.57 |
% 40.49/6.57 | SIMP: (473) implies:
% 40.49/6.57 | (474) all_362_6 = all_360_6
% 40.49/6.57 |
% 40.49/6.57 | COMBINE_EQS: (471), (472) imply:
% 40.49/6.57 | (475) all_362_13 = all_360_13
% 40.49/6.57 |
% 40.49/6.57 | SIMP: (475) implies:
% 40.49/6.57 | (476) all_362_13 = all_360_13
% 40.49/6.57 |
% 40.49/6.57 | COMBINE_EQS: (460), (474) imply:
% 40.49/6.57 | (477) all_360_6 = all_355_6
% 40.49/6.57 |
% 40.49/6.57 | COMBINE_EQS: (455), (476) imply:
% 40.49/6.57 | (478) all_360_13 = all_355_13
% 40.49/6.57 |
% 40.49/6.57 | COMBINE_EQS: (472), (478) imply:
% 40.49/6.57 | (479) all_364_13 = all_355_13
% 40.49/6.57 |
% 40.49/6.57 | COMBINE_EQS: (470), (477) imply:
% 40.49/6.57 | (480) all_364_6 = all_355_6
% 40.49/6.57 |
% 40.49/6.57 | COMBINE_EQS: (456), (479) imply:
% 40.49/6.57 | (481) all_366_14 = all_355_13
% 40.49/6.57 |
% 40.49/6.57 | COMBINE_EQS: (466), (477) imply:
% 40.49/6.57 | (482) all_366_7 = all_355_6
% 40.49/6.57 |
% 40.49/6.57 | COMBINE_EQS: (459), (478) imply:
% 40.49/6.57 | (483) all_368_21 = all_355_13
% 40.49/6.57 |
% 40.49/6.57 | COMBINE_EQS: (464), (477) imply:
% 40.49/6.57 | (484) all_368_14 = all_355_6
% 40.49/6.57 |
% 40.49/6.57 | REDUCE: (389), (484) imply:
% 40.49/6.57 | (485) cOMBS_867867294t_bool(all_355_6, all_355_4) = all_368_11
% 40.49/6.57 |
% 40.49/6.57 | REDUCE: (147), (483) imply:
% 40.49/6.57 | (486) cOMBS_867867294t_bool(all_355_13, all_368_11) = all_368_10
% 40.49/6.57 |
% 40.49/6.57 | REDUCE: (390), (482) imply:
% 40.49/6.57 | (487) cOMBS_867867294t_bool(all_355_6, all_355_4) = all_366_4
% 40.49/6.57 |
% 40.49/6.57 | REDUCE: (127), (481) imply:
% 40.49/6.57 | (488) cOMBS_867867294t_bool(all_355_13, all_366_4) = all_366_3
% 40.49/6.57 |
% 40.49/6.57 | REDUCE: (391), (480) imply:
% 40.49/6.57 | (489) cOMBS_867867294t_bool(all_355_6, all_355_4) = all_364_3
% 40.49/6.57 |
% 40.49/6.57 | REDUCE: (101), (479) imply:
% 40.49/6.57 | (490) cOMBS_867867294t_bool(all_355_13, all_364_3) = all_364_2
% 40.49/6.57 |
% 40.49/6.57 | REDUCE: (392), (460) imply:
% 40.49/6.57 | (491) cOMBS_867867294t_bool(all_355_6, all_355_4) = all_362_3
% 40.49/6.57 |
% 40.49/6.57 | REDUCE: (78), (455) imply:
% 40.49/6.57 | (492) cOMBS_867867294t_bool(all_355_13, all_362_3) = all_362_2
% 40.49/6.57 |
% 40.49/6.57 | REDUCE: (393), (477) imply:
% 40.49/6.57 | (493) cOMBS_867867294t_bool(all_355_6, all_355_4) = all_360_3
% 40.49/6.57 |
% 40.49/6.57 | REDUCE: (59), (478) imply:
% 40.49/6.57 | (494) cOMBS_867867294t_bool(all_355_13, all_360_3) = all_360_2
% 40.49/6.57 |
% 40.49/6.57 | BETA: splitting (142) gives:
% 40.49/6.57 |
% 40.49/6.57 | Case 1:
% 40.49/6.57 | |
% 40.49/6.57 | | (495) all_366_0 = 0 & all_366_20 = 0
% 40.49/6.57 | |
% 40.49/6.57 | | ALPHA: (495) implies:
% 40.49/6.57 | | (496) all_366_20 = 0
% 40.49/6.57 | |
% 40.49/6.57 | | COMBINE_EQS: (454), (496) imply:
% 40.49/6.57 | | (497) all_343_0 = 0
% 40.49/6.57 | |
% 40.49/6.57 | | REDUCE: (26), (497) imply:
% 40.49/6.57 | | (498) $false
% 40.49/6.57 | |
% 40.49/6.57 | | CLOSE: (498) is inconsistent.
% 40.49/6.57 | |
% 40.49/6.57 | Case 2:
% 40.49/6.57 | |
% 40.49/6.57 | | (499) ~ (all_366_0 = 0) & ~ (all_366_20 = 0)
% 40.49/6.57 | |
% 40.49/6.57 | | ALPHA: (499) implies:
% 40.49/6.57 | | (500) ~ (all_366_0 = 0)
% 40.49/6.57 | |
% 40.49/6.57 | | GROUND_INST: instantiating (17) with all_362_3, all_364_3, all_355_4,
% 40.49/6.57 | | all_355_6, simplifying with (489), (491) gives:
% 40.49/6.57 | | (501) all_364_3 = all_362_3
% 40.49/6.57 | |
% 40.49/6.57 | | GROUND_INST: instantiating (17) with all_355_3, all_366_4, all_355_4,
% 40.49/6.57 | | all_355_6, simplifying with (41), (487) gives:
% 40.49/6.58 | | (502) all_366_4 = all_355_3
% 40.49/6.58 | |
% 40.49/6.58 | | GROUND_INST: instantiating (17) with all_364_3, all_366_4, all_355_4,
% 40.49/6.58 | | all_355_6, simplifying with (487), (489) gives:
% 40.49/6.58 | | (503) all_366_4 = all_364_3
% 40.49/6.58 | |
% 40.49/6.58 | | GROUND_INST: instantiating (17) with all_364_3, all_368_11, all_355_4,
% 40.49/6.58 | | all_355_6, simplifying with (485), (489) gives:
% 40.49/6.58 | | (504) all_368_11 = all_364_3
% 40.49/6.58 | |
% 40.49/6.58 | | GROUND_INST: instantiating (17) with all_360_3, all_368_11, all_355_4,
% 40.49/6.58 | | all_355_6, simplifying with (485), (493) gives:
% 40.49/6.58 | | (505) all_368_11 = all_360_3
% 40.49/6.58 | |
% 40.49/6.58 | | COMBINE_EQS: (504), (505) imply:
% 40.49/6.58 | | (506) all_364_3 = all_360_3
% 40.49/6.58 | |
% 40.49/6.58 | | SIMP: (506) implies:
% 40.49/6.58 | | (507) all_364_3 = all_360_3
% 40.49/6.58 | |
% 40.49/6.58 | | COMBINE_EQS: (502), (503) imply:
% 40.49/6.58 | | (508) all_364_3 = all_355_3
% 40.49/6.58 | |
% 40.49/6.58 | | SIMP: (508) implies:
% 40.49/6.58 | | (509) all_364_3 = all_355_3
% 40.49/6.58 | |
% 40.49/6.58 | | COMBINE_EQS: (501), (509) imply:
% 40.49/6.58 | | (510) all_362_3 = all_355_3
% 40.49/6.58 | |
% 40.49/6.58 | | COMBINE_EQS: (501), (507) imply:
% 40.49/6.58 | | (511) all_362_3 = all_360_3
% 40.49/6.58 | |
% 40.49/6.58 | | COMBINE_EQS: (510), (511) imply:
% 40.49/6.58 | | (512) all_360_3 = all_355_3
% 40.49/6.58 | |
% 40.49/6.58 | | SIMP: (512) implies:
% 40.49/6.58 | | (513) all_360_3 = all_355_3
% 40.49/6.58 | |
% 40.49/6.58 | | COMBINE_EQS: (505), (513) imply:
% 40.49/6.58 | | (514) all_368_11 = all_355_3
% 40.49/6.58 | |
% 40.49/6.58 | | REDUCE: (486), (514) imply:
% 40.49/6.58 | | (515) cOMBS_867867294t_bool(all_355_13, all_355_3) = all_368_10
% 40.49/6.58 | |
% 40.49/6.58 | | REDUCE: (488), (502) imply:
% 40.49/6.58 | | (516) cOMBS_867867294t_bool(all_355_13, all_355_3) = all_366_3
% 40.49/6.58 | |
% 40.49/6.58 | | REDUCE: (490), (509) imply:
% 40.49/6.58 | | (517) cOMBS_867867294t_bool(all_355_13, all_355_3) = all_364_2
% 40.49/6.58 | |
% 40.49/6.58 | | REDUCE: (492), (510) imply:
% 40.49/6.58 | | (518) cOMBS_867867294t_bool(all_355_13, all_355_3) = all_362_2
% 40.49/6.58 | |
% 40.49/6.58 | | REDUCE: (494), (513) imply:
% 40.49/6.58 | | (519) cOMBS_867867294t_bool(all_355_13, all_355_3) = all_360_2
% 40.49/6.58 | |
% 40.49/6.58 | | GROUND_INST: instantiating (17) with all_362_2, all_364_2, all_355_3,
% 40.49/6.58 | | all_355_13, simplifying with (517), (518) gives:
% 40.49/6.58 | | (520) all_364_2 = all_362_2
% 40.49/6.58 | |
% 40.49/6.58 | | GROUND_INST: instantiating (17) with all_355_2, all_366_3, all_355_3,
% 40.49/6.58 | | all_355_13, simplifying with (40), (516) gives:
% 40.49/6.58 | | (521) all_366_3 = all_355_2
% 40.49/6.58 | |
% 40.49/6.58 | | GROUND_INST: instantiating (17) with all_364_2, all_366_3, all_355_3,
% 40.49/6.58 | | all_355_13, simplifying with (516), (517) gives:
% 40.49/6.58 | | (522) all_366_3 = all_364_2
% 40.49/6.58 | |
% 40.49/6.58 | | GROUND_INST: instantiating (17) with all_362_2, all_368_10, all_355_3,
% 40.49/6.58 | | all_355_13, simplifying with (515), (518) gives:
% 40.49/6.58 | | (523) all_368_10 = all_362_2
% 40.49/6.58 | |
% 40.49/6.58 | | GROUND_INST: instantiating (17) with all_360_2, all_368_10, all_355_3,
% 40.49/6.58 | | all_355_13, simplifying with (515), (519) gives:
% 40.49/6.58 | | (524) all_368_10 = all_360_2
% 40.49/6.58 | |
% 40.49/6.58 | | COMBINE_EQS: (523), (524) imply:
% 40.49/6.58 | | (525) all_362_2 = all_360_2
% 40.49/6.58 | |
% 40.49/6.58 | | SIMP: (525) implies:
% 40.49/6.58 | | (526) all_362_2 = all_360_2
% 40.49/6.58 | |
% 40.49/6.58 | | COMBINE_EQS: (521), (522) imply:
% 40.49/6.58 | | (527) all_364_2 = all_355_2
% 40.49/6.58 | |
% 40.49/6.58 | | SIMP: (527) implies:
% 40.49/6.58 | | (528) all_364_2 = all_355_2
% 40.49/6.58 | |
% 40.49/6.58 | | COMBINE_EQS: (520), (528) imply:
% 40.49/6.58 | | (529) all_362_2 = all_355_2
% 40.49/6.58 | |
% 40.49/6.58 | | SIMP: (529) implies:
% 40.49/6.58 | | (530) all_362_2 = all_355_2
% 40.49/6.58 | |
% 40.49/6.58 | | COMBINE_EQS: (526), (530) imply:
% 40.49/6.58 | | (531) all_360_2 = all_355_2
% 40.49/6.58 | |
% 40.49/6.58 | | SIMP: (531) implies:
% 40.49/6.58 | | (532) all_360_2 = all_355_2
% 40.49/6.58 | |
% 40.49/6.58 | | COMBINE_EQS: (524), (532) imply:
% 40.49/6.58 | | (533) all_368_10 = all_355_2
% 40.49/6.58 | |
% 40.49/6.58 | | REDUCE: (146), (533) imply:
% 40.49/6.58 | | (534) hAPP_f695124765t_bool(f, all_355_2) = all_368_9
% 40.49/6.58 | |
% 40.49/6.58 | | REDUCE: (120), (521) imply:
% 40.49/6.58 | | (535) hAPP_f695124765t_bool(f, all_355_2) = all_366_2
% 40.49/6.58 | |
% 40.49/6.58 | | REDUCE: (96), (528) imply:
% 40.49/6.58 | | (536) hAPP_f695124765t_bool(f, all_355_2) = all_364_1
% 40.49/6.58 | |
% 40.49/6.58 | | REDUCE: (77), (530) imply:
% 40.49/6.58 | | (537) hAPP_f695124765t_bool(f, all_355_2) = all_362_1
% 40.49/6.58 | |
% 40.49/6.58 | | REDUCE: (58), (532) imply:
% 40.49/6.58 | | (538) hAPP_f695124765t_bool(f, all_355_2) = all_360_1
% 40.49/6.58 | |
% 40.49/6.58 | | GROUND_INST: instantiating (14) with all_364_1, all_366_2, all_355_2, f,
% 40.49/6.58 | | simplifying with (535), (536) gives:
% 40.49/6.58 | | (539) all_366_2 = all_364_1
% 40.49/6.58 | |
% 40.49/6.58 | | GROUND_INST: instantiating (14) with all_362_1, all_366_2, all_355_2, f,
% 40.49/6.58 | | simplifying with (535), (537) gives:
% 40.49/6.58 | | (540) all_366_2 = all_362_1
% 40.49/6.58 | |
% 40.49/6.58 | | GROUND_INST: instantiating (14) with all_364_1, all_368_9, all_355_2, f,
% 40.49/6.58 | | simplifying with (534), (536) gives:
% 40.49/6.58 | | (541) all_368_9 = all_364_1
% 40.49/6.58 | |
% 40.49/6.58 | | GROUND_INST: instantiating (14) with all_360_1, all_368_9, all_355_2, f,
% 40.49/6.58 | | simplifying with (534), (538) gives:
% 40.49/6.58 | | (542) all_368_9 = all_360_1
% 40.49/6.58 | |
% 40.49/6.58 | | COMBINE_EQS: (541), (542) imply:
% 40.49/6.58 | | (543) all_364_1 = all_360_1
% 40.49/6.58 | |
% 40.49/6.58 | | SIMP: (543) implies:
% 40.49/6.58 | | (544) all_364_1 = all_360_1
% 40.49/6.58 | |
% 40.49/6.58 | | COMBINE_EQS: (539), (540) imply:
% 40.49/6.58 | | (545) all_364_1 = all_362_1
% 40.49/6.58 | |
% 40.49/6.58 | | SIMP: (545) implies:
% 40.49/6.58 | | (546) all_364_1 = all_362_1
% 40.49/6.58 | |
% 40.49/6.58 | | COMBINE_EQS: (544), (546) imply:
% 40.49/6.58 | | (547) all_362_1 = all_360_1
% 40.49/6.58 | |
% 40.49/6.58 | | SIMP: (547) implies:
% 40.49/6.58 | | (548) all_362_1 = all_360_1
% 40.49/6.58 | |
% 40.49/6.58 | | COMBINE_EQS: (540), (548) imply:
% 40.49/6.58 | | (549) all_366_2 = all_360_1
% 40.49/6.58 | |
% 40.49/6.58 | | REDUCE: (394), (549) imply:
% 40.49/6.58 | | (550) hAPP_f745298353l_bool(all_343_3, all_360_1) = all_366_1
% 40.49/6.58 | |
% 40.49/6.58 | | REDUCE: (396), (544) imply:
% 40.49/6.58 | | (551) hAPP_f745298353l_bool(all_343_3, all_360_1) = all_364_0
% 40.49/6.58 | |
% 40.49/6.58 | | GROUND_INST: instantiating (15) with all_364_0, all_366_1, all_360_1,
% 40.49/6.58 | | all_343_3, simplifying with (550), (551) gives:
% 40.49/6.58 | | (552) all_366_1 = all_364_0
% 40.49/6.58 | |
% 40.49/6.58 | | REDUCE: (125), (552) imply:
% 40.49/6.58 | | (553) hBOOL(all_364_0) = all_366_0
% 40.49/6.58 | |
% 40.49/6.58 | | GROUND_INST: instantiating (12) with 0, all_366_0, all_364_0, simplifying
% 40.49/6.58 | | with (99), (553) gives:
% 40.49/6.58 | | (554) all_366_0 = 0
% 40.49/6.58 | |
% 40.49/6.58 | | REDUCE: (500), (554) imply:
% 40.49/6.58 | | (555) $false
% 40.49/6.58 | |
% 40.49/6.58 | | CLOSE: (555) is inconsistent.
% 40.49/6.58 | |
% 40.49/6.58 | End of split
% 40.49/6.58 |
% 40.49/6.58 End of proof
% 40.49/6.58 % SZS output end Proof for theBenchmark
% 40.49/6.58
% 40.49/6.58 5982ms
%------------------------------------------------------------------------------